task_name,problem_type,instruction,instance,solution,obj,instance_variant,solution_variant,context_index,input_format,input_index_base
UFLP,UFLP,"Someone at planning has to balance the budget and convenience: decide which neighborhood libraries to open and make sure every regular reader is linked to one of the opened branches. For any setup, the city’s outlay equals the sum of the opening fees for the selected branches plus the travel cost for each reader to their single assigned branch; the setups with lower combined totals are preferable. Readers can only go to branches that are actually opened, no one is left unassigned, and libraries can serve any number of people. The detailed data are shown below.

# num_candidate_libraries=10
# num_readers_total=20
# LIBRARYS
library_id,opening_fee
F1,1161
F2,1956
F3,1996
F4,1058
F5,1035
F6,1123
F7,1357
F8,1444
F9,1560
F10,1690
# READERS
reader_id
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
# TRAVELS
library_id,reader_id,travel_cost
F1,0,24
F1,1,739
F1,2,994
F1,3,642
F1,4,812
F1,5,472
F1,6,535
F1,7,821
F1,8,30
F1,9,545
F1,10,10
F1,11,127
F1,12,737
F1,13,521
F1,14,490
F1,15,106
F1,16,221
F1,17,22
F1,18,68
F1,19,679
F2,0,853
F2,1,814
F2,2,913
F2,3,752
F2,4,485
F2,5,352
F2,6,86
F2,7,509
F2,8,313
F2,9,849
F2,10,551
F2,11,353
F2,12,18
F2,13,527
F2,14,148
F2,15,295
F2,16,202
F2,17,461
F2,18,865
F2,19,752
F3,0,292
F3,1,106
F3,2,312
F3,3,815
F3,4,561
F3,5,872
F3,6,23
F3,7,39
F3,8,651
F3,9,648
F3,10,977
F3,11,478
F3,12,456
F3,13,273
F3,14,690
F3,15,181
F3,16,959
F3,17,491
F3,18,799
F3,19,351
F4,0,655
F4,1,406
F4,2,933
F4,3,520
F4,4,44
F4,5,219
F4,6,198
F4,7,349
F4,8,632
F4,9,799
F4,10,345
F4,11,544
F4,12,539
F4,13,184
F4,14,298
F4,15,595
F4,16,923
F4,17,873
F4,18,273
F4,19,950
F5,0,170
F5,1,65
F5,2,973
F5,3,12
F5,4,314
F5,5,129
F5,6,311
F5,7,97
F5,8,571
F5,9,572
F5,10,792
F5,11,921
F5,12,966
F5,13,655
F5,14,745
F5,15,594
F5,16,387
F5,17,805
F5,18,115
F5,19,710
F6,0,765
F6,1,980
F6,2,410
F6,3,527
F6,4,332
F6,5,868
F6,6,868
F6,7,841
F6,8,876
F6,9,882
F6,10,41
F6,11,769
F6,12,401
F6,13,919
F6,14,603
F6,15,964
F6,16,818
F6,17,804
F6,18,906
F6,19,219
F7,0,748
F7,1,670
F7,2,422
F7,3,663
F7,4,162
F7,5,786
F7,6,144
F7,7,805
F7,8,222
F7,9,430
F7,10,868
F7,11,716
F7,12,816
F7,13,805
F7,14,885
F7,15,801
F7,16,852
F7,17,130
F7,18,908
F7,19,648
F8,0,896
F8,1,650
F8,2,443
F8,3,944
F8,4,55
F8,5,166
F8,6,707
F8,7,372
F8,8,346
F8,9,126
F8,10,642
F8,11,527
F8,12,599
F8,13,614
F8,14,478
F8,15,358
F8,16,792
F8,17,879
F8,18,235
F8,19,700
F9,0,634
F9,1,991
F9,2,191
F9,3,655
F9,4,123
F9,5,806
F9,6,417
F9,7,993
F9,8,520
F9,9,226
F9,10,578
F9,11,724
F9,12,296
F9,13,957
F9,14,440
F9,15,189
F9,16,34
F9,17,949
F9,18,591
F9,19,701
F10,0,715
F10,1,96
F10,2,692
F10,3,89
F10,4,676
F10,5,205
F10,6,350
F10,7,315
F10,8,572
F10,9,178
F10,10,134
F10,11,635
F10,12,162
F10,13,978
F10,14,598
F10,15,272
F10,16,227
F10,17,522
F10,18,494
F10,19,553

If you want to send back a candidate setup, just use this simple JSON layout so I can read it reliably.

{
  ""solution"": {
    ""selected"": [<library_to_open>, <library_to_open>, ...],
    ""assignments"": [<chosen_open_library>, <chosen_open_library>, ...]
  }
}

Here, ""selected"" is the list of library locations you plan to open, and ""assignments"" is a list giving, for each reader in the input order, which opened library they would go to. Think of it like filling out a short form: pick the branches you open, then for every reader say which branch they use.

This JSON is only a sketch of the expected shape — not the final answer. Please make sure to use the exact identifiers from the instance input, with no renaming and no extra labels:
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”"".","{'opening_costs': [1161, 1956, 1996, 1058, 1035, 1123, 1357, 1444, 1560, 1690], 'connection_costs': [[24, 739, 994, 642, 812, 472, 535, 821, 30, 545, 10, 127, 737, 521, 490, 106, 221, 22, 68, 679], [853, 814, 913, 752, 485, 352, 86, 509, 313, 849, 551, 353, 18, 527, 148, 295, 202, 461, 865, 752], [292, 106, 312, 815, 561, 872, 23, 39, 651, 648, 977, 478, 456, 273, 690, 181, 959, 491, 799, 351], [655, 406, 933, 520, 44, 219, 198, 349, 632, 799, 345, 544, 539, 184, 298, 595, 923, 873, 273, 950], [170, 65, 973, 12, 314, 129, 311, 97, 571, 572, 792, 921, 966, 655, 745, 594, 387, 805, 115, 710], [765, 980, 410, 527, 332, 868, 868, 841, 876, 882, 41, 769, 401, 919, 603, 964, 818, 804, 906, 219], [748, 670, 422, 663, 162, 786, 144, 805, 222, 430, 868, 716, 816, 805, 885, 801, 852, 130, 908, 648], [896, 650, 443, 944, 55, 166, 707, 372, 346, 126, 642, 527, 599, 614, 478, 358, 792, 879, 235, 700], [634, 991, 191, 655, 123, 806, 417, 993, 520, 226, 578, 724, 296, 957, 440, 189, 34, 949, 591, 701], [715, 96, 692, 89, 676, 205, 350, 315, 572, 178, 134, 635, 162, 978, 598, 272, 227, 522, 494, 553]], 'objective': 7267.0}","{'open_facilities': [0, 4, 8], 'assignments': [0, 4, 8, 4, 8, 4, 4, 4, 0, 8, 0, 0, 8, 0, 8, 0, 8, 0, 0, 0]}",7267.0,"{'problem_type': 'UFLP', 'num_facilities': 10, 'num_customers': 20, 'facilities': [{'id': 'F1', 'opening_cost': 1161}, {'id': 'F2', 'opening_cost': 1956}, {'id': 'F3', 'opening_cost': 1996}, {'id': 'F4', 'opening_cost': 1058}, {'id': 'F5', 'opening_cost': 1035}, {'id': 'F6', 'opening_cost': 1123}, {'id': 'F7', 'opening_cost': 1357}, {'id': 'F8', 'opening_cost': 1444}, {'id': 'F9', 'opening_cost': 1560}, {'id': 'F10', 'opening_cost': 1690}], 'customers': [{'id': 0}, {'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}, {'id': 16}, {'id': 17}, {'id': 18}, {'id': 19}], 'connection_costs': [{'facility': 'F1', 'customer': 0, 'cost': 24}, {'facility': 'F1', 'customer': 1, 'cost': 739}, {'facility': 'F1', 'customer': 2, 'cost': 994}, {'facility': 'F1', 'customer': 3, 'cost': 642}, {'facility': 'F1', 'customer': 4, 'cost': 812}, {'facility': 'F1', 'customer': 5, 'cost': 472}, {'facility': 'F1', 'customer': 6, 'cost': 535}, {'facility': 'F1', 'customer': 7, 'cost': 821}, {'facility': 'F1', 'customer': 8, 'cost': 30}, {'facility': 'F1', 'customer': 9, 'cost': 545}, {'facility': 'F1', 'customer': 10, 'cost': 10}, {'facility': 'F1', 'customer': 11, 'cost': 127}, {'facility': 'F1', 'customer': 12, 'cost': 737}, {'facility': 'F1', 'customer': 13, 'cost': 521}, {'facility': 'F1', 'customer': 14, 'cost': 490}, {'facility': 'F1', 'customer': 15, 'cost': 106}, {'facility': 'F1', 'customer': 16, 'cost': 221}, {'facility': 'F1', 'customer': 17, 'cost': 22}, {'facility': 'F1', 'customer': 18, 'cost': 68}, {'facility': 'F1', 'customer': 19, 'cost': 679}, {'facility': 'F2', 'customer': 0, 'cost': 853}, {'facility': 'F2', 'customer': 1, 'cost': 814}, {'facility': 'F2', 'customer': 2, 'cost': 913}, {'facility': 'F2', 'customer': 3, 'cost': 752}, {'facility': 'F2', 'customer': 4, 'cost': 485}, {'facility': 'F2', 'customer': 5, 'cost': 352}, {'facility': 'F2', 'customer': 6, 'cost': 86}, {'facility': 'F2', 'customer': 7, 'cost': 509}, {'facility': 'F2', 'customer': 8, 'cost': 313}, {'facility': 'F2', 'customer': 9, 'cost': 849}, {'facility': 'F2', 'customer': 10, 'cost': 551}, {'facility': 'F2', 'customer': 11, 'cost': 353}, {'facility': 'F2', 'customer': 12, 'cost': 18}, {'facility': 'F2', 'customer': 13, 'cost': 527}, {'facility': 'F2', 'customer': 14, 'cost': 148}, {'facility': 'F2', 'customer': 15, 'cost': 295}, {'facility': 'F2', 'customer': 16, 'cost': 202}, {'facility': 'F2', 'customer': 17, 'cost': 461}, {'facility': 'F2', 'customer': 18, 'cost': 865}, {'facility': 'F2', 'customer': 19, 'cost': 752}, {'facility': 'F3', 'customer': 0, 'cost': 292}, {'facility': 'F3', 'customer': 1, 'cost': 106}, {'facility': 'F3', 'customer': 2, 'cost': 312}, {'facility': 'F3', 'customer': 3, 'cost': 815}, {'facility': 'F3', 'customer': 4, 'cost': 561}, {'facility': 'F3', 'customer': 5, 'cost': 872}, {'facility': 'F3', 'customer': 6, 'cost': 23}, {'facility': 'F3', 'customer': 7, 'cost': 39}, {'facility': 'F3', 'customer': 8, 'cost': 651}, {'facility': 'F3', 'customer': 9, 'cost': 648}, {'facility': 'F3', 'customer': 10, 'cost': 977}, {'facility': 'F3', 'customer': 11, 'cost': 478}, {'facility': 'F3', 'customer': 12, 'cost': 456}, {'facility': 'F3', 'customer': 13, 'cost': 273}, {'facility': 'F3', 'customer': 14, 'cost': 690}, {'facility': 'F3', 'customer': 15, 'cost': 181}, {'facility': 'F3', 'customer': 16, 'cost': 959}, {'facility': 'F3', 'customer': 17, 'cost': 491}, {'facility': 'F3', 'customer': 18, 'cost': 799}, {'facility': 'F3', 'customer': 19, 'cost': 351}, {'facility': 'F4', 'customer': 0, 'cost': 655}, {'facility': 'F4', 'customer': 1, 'cost': 406}, {'facility': 'F4', 'customer': 2, 'cost': 933}, {'facility': 'F4', 'customer': 3, 'cost': 520}, {'facility': 'F4', 'customer': 4, 'cost': 44}, {'facility': 'F4', 'customer': 5, 'cost': 219}, {'facility': 'F4', 'customer': 6, 'cost': 198}, {'facility': 'F4', 'customer': 7, 'cost': 349}, {'facility': 'F4', 'customer': 8, 'cost': 632}, {'facility': 'F4', 'customer': 9, 'cost': 799}, {'facility': 'F4', 'customer': 10, 'cost': 345}, {'facility': 'F4', 'customer': 11, 'cost': 544}, {'facility': 'F4', 'customer': 12, 'cost': 539}, {'facility': 'F4', 'customer': 13, 'cost': 184}, {'facility': 'F4', 'customer': 14, 'cost': 298}, {'facility': 'F4', 'customer': 15, 'cost': 595}, {'facility': 'F4', 'customer': 16, 'cost': 923}, {'facility': 'F4', 'customer': 17, 'cost': 873}, {'facility': 'F4', 'customer': 18, 'cost': 273}, {'facility': 'F4', 'customer': 19, 'cost': 950}, {'facility': 'F5', 'customer': 0, 'cost': 170}, {'facility': 'F5', 'customer': 1, 'cost': 65}, {'facility': 'F5', 'customer': 2, 'cost': 973}, {'facility': 'F5', 'customer': 3, 'cost': 12}, {'facility': 'F5', 'customer': 4, 'cost': 314}, {'facility': 'F5', 'customer': 5, 'cost': 129}, {'facility': 'F5', 'customer': 6, 'cost': 311}, {'facility': 'F5', 'customer': 7, 'cost': 97}, {'facility': 'F5', 'customer': 8, 'cost': 571}, {'facility': 'F5', 'customer': 9, 'cost': 572}, {'facility': 'F5', 'customer': 10, 'cost': 792}, {'facility': 'F5', 'customer': 11, 'cost': 921}, {'facility': 'F5', 'customer': 12, 'cost': 966}, {'facility': 'F5', 'customer': 13, 'cost': 655}, {'facility': 'F5', 'customer': 14, 'cost': 745}, {'facility': 'F5', 'customer': 15, 'cost': 594}, {'facility': 'F5', 'customer': 16, 'cost': 387}, {'facility': 'F5', 'customer': 17, 'cost': 805}, {'facility': 'F5', 'customer': 18, 'cost': 115}, {'facility': 'F5', 'customer': 19, 'cost': 710}, {'facility': 'F6', 'customer': 0, 'cost': 765}, {'facility': 'F6', 'customer': 1, 'cost': 980}, {'facility': 'F6', 'customer': 2, 'cost': 410}, {'facility': 'F6', 'customer': 3, 'cost': 527}, {'facility': 'F6', 'customer': 4, 'cost': 332}, {'facility': 'F6', 'customer': 5, 'cost': 868}, {'facility': 'F6', 'customer': 6, 'cost': 868}, {'facility': 'F6', 'customer': 7, 'cost': 841}, {'facility': 'F6', 'customer': 8, 'cost': 876}, {'facility': 'F6', 'customer': 9, 'cost': 882}, {'facility': 'F6', 'customer': 10, 'cost': 41}, {'facility': 'F6', 'customer': 11, 'cost': 769}, {'facility': 'F6', 'customer': 12, 'cost': 401}, {'facility': 'F6', 'customer': 13, 'cost': 919}, {'facility': 'F6', 'customer': 14, 'cost': 603}, {'facility': 'F6', 'customer': 15, 'cost': 964}, {'facility': 'F6', 'customer': 16, 'cost': 818}, {'facility': 'F6', 'customer': 17, 'cost': 804}, {'facility': 'F6', 'customer': 18, 'cost': 906}, {'facility': 'F6', 'customer': 19, 'cost': 219}, {'facility': 'F7', 'customer': 0, 'cost': 748}, {'facility': 'F7', 'customer': 1, 'cost': 670}, {'facility': 'F7', 'customer': 2, 'cost': 422}, {'facility': 'F7', 'customer': 3, 'cost': 663}, {'facility': 'F7', 'customer': 4, 'cost': 162}, {'facility': 'F7', 'customer': 5, 'cost': 786}, {'facility': 'F7', 'customer': 6, 'cost': 144}, {'facility': 'F7', 'customer': 7, 'cost': 805}, {'facility': 'F7', 'customer': 8, 'cost': 222}, {'facility': 'F7', 'customer': 9, 'cost': 430}, {'facility': 'F7', 'customer': 10, 'cost': 868}, {'facility': 'F7', 'customer': 11, 'cost': 716}, {'facility': 'F7', 'customer': 12, 'cost': 816}, {'facility': 'F7', 'customer': 13, 'cost': 805}, {'facility': 'F7', 'customer': 14, 'cost': 885}, {'facility': 'F7', 'customer': 15, 'cost': 801}, {'facility': 'F7', 'customer': 16, 'cost': 852}, {'facility': 'F7', 'customer': 17, 'cost': 130}, {'facility': 'F7', 'customer': 18, 'cost': 908}, {'facility': 'F7', 'customer': 19, 'cost': 648}, {'facility': 'F8', 'customer': 0, 'cost': 896}, {'facility': 'F8', 'customer': 1, 'cost': 650}, {'facility': 'F8', 'customer': 2, 'cost': 443}, {'facility': 'F8', 'customer': 3, 'cost': 944}, {'facility': 'F8', 'customer': 4, 'cost': 55}, {'facility': 'F8', 'customer': 5, 'cost': 166}, {'facility': 'F8', 'customer': 6, 'cost': 707}, {'facility': 'F8', 'customer': 7, 'cost': 372}, {'facility': 'F8', 'customer': 8, 'cost': 346}, {'facility': 'F8', 'customer': 9, 'cost': 126}, {'facility': 'F8', 'customer': 10, 'cost': 642}, {'facility': 'F8', 'customer': 11, 'cost': 527}, {'facility': 'F8', 'customer': 12, 'cost': 599}, {'facility': 'F8', 'customer': 13, 'cost': 614}, {'facility': 'F8', 'customer': 14, 'cost': 478}, {'facility': 'F8', 'customer': 15, 'cost': 358}, {'facility': 'F8', 'customer': 16, 'cost': 792}, {'facility': 'F8', 'customer': 17, 'cost': 879}, {'facility': 'F8', 'customer': 18, 'cost': 235}, {'facility': 'F8', 'customer': 19, 'cost': 700}, {'facility': 'F9', 'customer': 0, 'cost': 634}, {'facility': 'F9', 'customer': 1, 'cost': 991}, {'facility': 'F9', 'customer': 2, 'cost': 191}, {'facility': 'F9', 'customer': 3, 'cost': 655}, {'facility': 'F9', 'customer': 4, 'cost': 123}, {'facility': 'F9', 'customer': 5, 'cost': 806}, {'facility': 'F9', 'customer': 6, 'cost': 417}, {'facility': 'F9', 'customer': 7, 'cost': 993}, {'facility': 'F9', 'customer': 8, 'cost': 520}, {'facility': 'F9', 'customer': 9, 'cost': 226}, {'facility': 'F9', 'customer': 10, 'cost': 578}, {'facility': 'F9', 'customer': 11, 'cost': 724}, {'facility': 'F9', 'customer': 12, 'cost': 296}, {'facility': 'F9', 'customer': 13, 'cost': 957}, {'facility': 'F9', 'customer': 14, 'cost': 440}, {'facility': 'F9', 'customer': 15, 'cost': 189}, {'facility': 'F9', 'customer': 16, 'cost': 34}, {'facility': 'F9', 'customer': 17, 'cost': 949}, {'facility': 'F9', 'customer': 18, 'cost': 591}, {'facility': 'F9', 'customer': 19, 'cost': 701}, {'facility': 'F10', 'customer': 0, 'cost': 715}, {'facility': 'F10', 'customer': 1, 'cost': 96}, {'facility': 'F10', 'customer': 2, 'cost': 692}, {'facility': 'F10', 'customer': 3, 'cost': 89}, {'facility': 'F10', 'customer': 4, 'cost': 676}, {'facility': 'F10', 'customer': 5, 'cost': 205}, {'facility': 'F10', 'customer': 6, 'cost': 350}, {'facility': 'F10', 'customer': 7, 'cost': 315}, {'facility': 'F10', 'customer': 8, 'cost': 572}, {'facility': 'F10', 'customer': 9, 'cost': 178}, {'facility': 'F10', 'customer': 10, 'cost': 134}, {'facility': 'F10', 'customer': 11, 'cost': 635}, {'facility': 'F10', 'customer': 12, 'cost': 162}, {'facility': 'F10', 'customer': 13, 'cost': 978}, {'facility': 'F10', 'customer': 14, 'cost': 598}, {'facility': 'F10', 'customer': 15, 'cost': 272}, {'facility': 'F10', 'customer': 16, 'cost': 227}, {'facility': 'F10', 'customer': 17, 'cost': 522}, {'facility': 'F10', 'customer': 18, 'cost': 494}, {'facility': 'F10', 'customer': 19, 'cost': 553}], 'objective': 7267.0}","{'selected': ['F1', 'F5', 'F9'], 'assignments': ['F1', 'F5', 'F9', 'F5', 'F9', 'F5', 'F5', 'F5', 'F1', 'F9', 'F1', 'F1', 'F9', 'F1', 'F9', 'F1', 'F9', 'F1', 'F1', 'F1']}",1,csv,0
UFLP,UFLP,"At the festival the logistical brief was: decide which kitchens to switch on and which switched-on kitchen will take care of each order. Each kitchen has an activation charge, and assigning an order to a kitchen brings a delivery-distance cost; the overall cost of any choice equals the sum of the activation charges for the kitchens used plus the delivery distances for every order. All orders must be assigned to one active kitchen only, and active kitchens can serve any number of orders, so the aim is to end up with the combination that produces the smallest total cost. The specific kitchens, their fees and the list of orders are shown below.

There are 9 candidate kitchens, 20 orders, and activation fees 1956, 1996, 1015, 1915, 1911, 1424, 1287, 1291, 1296.
Kitchen F1 has an activation fee of 1956.
Kitchen F2 has an activation fee of 1996.
Kitchen F3 has an activation fee of 1015.
Kitchen F4 has an activation fee of 1915.
Kitchen F5 has an activation fee of 1911.
Kitchen F6 has an activation fee of 1424.
Kitchen F7 has an activation fee of 1287.
Kitchen F8 has an activation fee of 1291.
Kitchen F9 has an activation fee of 1296.
Order A assigned to kitchen F1 incurs delivery distance 23.
Order B assigned to kitchen F1 incurs delivery distance 120.
Order C assigned to kitchen F1 incurs delivery distance 167.
Order D assigned to kitchen F1 incurs delivery distance 842.
Order E assigned to kitchen F1 incurs delivery distance 171.
Order F assigned to kitchen F1 incurs delivery distance 509.
Order G assigned to kitchen F1 incurs delivery distance 54.
Order H assigned to kitchen F1 incurs delivery distance 36.
Order I assigned to kitchen F1 incurs delivery distance 381.
Order J assigned to kitchen F1 incurs delivery distance 792.
Order K assigned to kitchen F1 incurs delivery distance 712.
Order L assigned to kitchen F1 incurs delivery distance 492.
Order M assigned to kitchen F1 incurs delivery distance 788.
Order N assigned to kitchen F1 incurs delivery distance 127.
Order O assigned to kitchen F1 incurs delivery distance 295.
Order P assigned to kitchen F1 incurs delivery distance 655.
Order Q assigned to kitchen F1 incurs delivery distance 965.
Order R assigned to kitchen F1 incurs delivery distance 987.
Order S assigned to kitchen F1 incurs delivery distance 809.
Order T assigned to kitchen F1 incurs delivery distance 751.
Order A assigned to kitchen F2 incurs delivery distance 277.
Order B assigned to kitchen F2 incurs delivery distance 276.
Order C assigned to kitchen F2 incurs delivery distance 523.
Order D assigned to kitchen F2 incurs delivery distance 209.
Order E assigned to kitchen F2 incurs delivery distance 38.
Order F assigned to kitchen F2 incurs delivery distance 39.
Order G assigned to kitchen F2 incurs delivery distance 457.
Order H assigned to kitchen F2 incurs delivery distance 835.
Order I assigned to kitchen F2 incurs delivery distance 260.
Order J assigned to kitchen F2 incurs delivery distance 431.
Order K assigned to kitchen F2 incurs delivery distance 774.
Order L assigned to kitchen F2 incurs delivery distance 673.
Order M assigned to kitchen F2 incurs delivery distance 904.
Order N assigned to kitchen F2 incurs delivery distance 366.
Order O assigned to kitchen F2 incurs delivery distance 181.
Order P assigned to kitchen F2 incurs delivery distance 799.
Order Q assigned to kitchen F2 incurs delivery distance 683.
Order R assigned to kitchen F2 incurs delivery distance 226.
Order S assigned to kitchen F2 incurs delivery distance 892.
Order T assigned to kitchen F2 incurs delivery distance 209.
Order A assigned to kitchen F3 incurs delivery distance 952.
Order B assigned to kitchen F3 incurs delivery distance 764.
Order C assigned to kitchen F3 incurs delivery distance 643.
Order D assigned to kitchen F3 incurs delivery distance 254.
Order E assigned to kitchen F3 incurs delivery distance 568.
Order F assigned to kitchen F3 incurs delivery distance 502.
Order G assigned to kitchen F3 incurs delivery distance 382.
Order H assigned to kitchen F3 incurs delivery distance 392.
Order I assigned to kitchen F3 incurs delivery distance 931.
Order J assigned to kitchen F3 incurs delivery distance 309.
Order K assigned to kitchen F3 incurs delivery distance 893.
Order L assigned to kitchen F3 incurs delivery distance 780.
Order M assigned to kitchen F3 incurs delivery distance 707.
Order N assigned to kitchen F3 incurs delivery distance 997.
Order O assigned to kitchen F3 incurs delivery distance 31.
Order P assigned to kitchen F3 incurs delivery distance 829.
Order Q assigned to kitchen F3 incurs delivery distance 174.
Order R assigned to kitchen F3 incurs delivery distance 661.
Order S assigned to kitchen F3 incurs delivery distance 905.
Order T assigned to kitchen F3 incurs delivery distance 810.
Order A assigned to kitchen F4 incurs delivery distance 453.
Order B assigned to kitchen F4 incurs delivery distance 129.
Order C assigned to kitchen F4 incurs delivery distance 511.
Order D assigned to kitchen F4 incurs delivery distance 664.
Order E assigned to kitchen F4 incurs delivery distance 488.
Order F assigned to kitchen F4 incurs delivery distance 742.
Order G assigned to kitchen F4 incurs delivery distance 147.
Order H assigned to kitchen F4 incurs delivery distance 218.
Order I assigned to kitchen F4 incurs delivery distance 785.
Order J assigned to kitchen F4 incurs delivery distance 39.
Order K assigned to kitchen F4 incurs delivery distance 4.
Order L assigned to kitchen F4 incurs delivery distance 179.
Order M assigned to kitchen F4 incurs delivery distance 623.
Order N assigned to kitchen F4 incurs delivery distance 539.
Order O assigned to kitchen F4 incurs delivery distance 693.
Order P assigned to kitchen F4 incurs delivery distance 378.
Order Q assigned to kitchen F4 incurs delivery distance 214.
Order R assigned to kitchen F4 incurs delivery distance 228.
Order S assigned to kitchen F4 incurs delivery distance 982.
Order T assigned to kitchen F4 incurs delivery distance 457.
Order A assigned to kitchen F5 incurs delivery distance 169.
Order B assigned to kitchen F5 incurs delivery distance 341.
Order C assigned to kitchen F5 incurs delivery distance 226.
Order D assigned to kitchen F5 incurs delivery distance 108.
Order E assigned to kitchen F5 incurs delivery distance 68.
Order F assigned to kitchen F5 incurs delivery distance 600.
Order G assigned to kitchen F5 incurs delivery distance 73.
Order H assigned to kitchen F5 incurs delivery distance 151.
Order I assigned to kitchen F5 incurs delivery distance 156.
Order J assigned to kitchen F5 incurs delivery distance 545.
Order K assigned to kitchen F5 incurs delivery distance 425.
Order L assigned to kitchen F5 incurs delivery distance 805.
Order M assigned to kitchen F5 incurs delivery distance 88.
Order N assigned to kitchen F5 incurs delivery distance 350.
Order O assigned to kitchen F5 incurs delivery distance 816.
Order P assigned to kitchen F5 incurs delivery distance 674.
Order Q assigned to kitchen F5 incurs delivery distance 728.
Order R assigned to kitchen F5 incurs delivery distance 156.
Order S assigned to kitchen F5 incurs delivery distance 625.
Order T assigned to kitchen F5 incurs delivery distance 380.
Order A assigned to kitchen F6 incurs delivery distance 407.
Order B assigned to kitchen F6 incurs delivery distance 4.
Order C assigned to kitchen F6 incurs delivery distance 799.
Order D assigned to kitchen F6 incurs delivery distance 511.
Order E assigned to kitchen F6 incurs delivery distance 72.
Order F assigned to kitchen F6 incurs delivery distance 305.
Order G assigned to kitchen F6 incurs delivery distance 201.
Order H assigned to kitchen F6 incurs delivery distance 800.
Order I assigned to kitchen F6 incurs delivery distance 187.
Order J assigned to kitchen F6 incurs delivery distance 938.
Order K assigned to kitchen F6 incurs delivery distance 332.
Order L assigned to kitchen F6 incurs delivery distance 566.
Order M assigned to kitchen F6 incurs delivery distance 411.
Order N assigned to kitchen F6 incurs delivery distance 951.
Order O assigned to kitchen F6 incurs delivery distance 580.
Order P assigned to kitchen F6 incurs delivery distance 41.
Order Q assigned to kitchen F6 incurs delivery distance 447.
Order R assigned to kitchen F6 incurs delivery distance 618.
Order S assigned to kitchen F6 incurs delivery distance 226.
Order T assigned to kitchen F6 incurs delivery distance 208.
Order A assigned to kitchen F7 incurs delivery distance 598.
Order B assigned to kitchen F7 incurs delivery distance 524.
Order C assigned to kitchen F7 incurs delivery distance 106.
Order D assigned to kitchen F7 incurs delivery distance 231.
Order E assigned to kitchen F7 incurs delivery distance 108.
Order F assigned to kitchen F7 incurs delivery distance 166.
Order G assigned to kitchen F7 incurs delivery distance 740.
Order H assigned to kitchen F7 incurs delivery distance 814.
Order I assigned to kitchen F7 incurs delivery distance 141.
Order J assigned to kitchen F7 incurs delivery distance 851.
Order K assigned to kitchen F7 incurs delivery distance 414.
Order L assigned to kitchen F7 incurs delivery distance 600.
Order M assigned to kitchen F7 incurs delivery distance 571.
Order N assigned to kitchen F7 incurs delivery distance 242.
Order O assigned to kitchen F7 incurs delivery distance 514.
Order P assigned to kitchen F7 incurs delivery distance 454.
Order Q assigned to kitchen F7 incurs delivery distance 993.
Order R assigned to kitchen F7 incurs delivery distance 583.
Order S assigned to kitchen F7 incurs delivery distance 641.
Order T assigned to kitchen F7 incurs delivery distance 217.
Order A assigned to kitchen F8 incurs delivery distance 370.
Order B assigned to kitchen F8 incurs delivery distance 658.
Order C assigned to kitchen F8 incurs delivery distance 840.
Order D assigned to kitchen F8 incurs delivery distance 272.
Order E assigned to kitchen F8 incurs delivery distance 224.
Order F assigned to kitchen F8 incurs delivery distance 631.
Order G assigned to kitchen F8 incurs delivery distance 801.
Order H assigned to kitchen F8 incurs delivery distance 494.
Order I assigned to kitchen F8 incurs delivery distance 590.
Order J assigned to kitchen F8 incurs delivery distance 770.
Order K assigned to kitchen F8 incurs delivery distance 950.
Order L assigned to kitchen F8 incurs delivery distance 874.
Order M assigned to kitchen F8 incurs delivery distance 358.
Order N assigned to kitchen F8 incurs delivery distance 322.
Order O assigned to kitchen F8 incurs delivery distance 89.
Order P assigned to kitchen F8 incurs delivery distance 337.
Order Q assigned to kitchen F8 incurs delivery distance 115.
Order R assigned to kitchen F8 incurs delivery distance 70.
Order S assigned to kitchen F8 incurs delivery distance 327.
Order T assigned to kitchen F8 incurs delivery distance 666.
Order A assigned to kitchen F9 incurs delivery distance 734.
Order B assigned to kitchen F9 incurs delivery distance 606.
Order C assigned to kitchen F9 incurs delivery distance 371.
Order D assigned to kitchen F9 incurs delivery distance 25.
Order E assigned to kitchen F9 incurs delivery distance 317.
Order F assigned to kitchen F9 incurs delivery distance 826.
Order G assigned to kitchen F9 incurs delivery distance 994.
Order H assigned to kitchen F9 incurs delivery distance 240.
Order I assigned to kitchen F9 incurs delivery distance 417.
Order J assigned to kitchen F9 incurs delivery distance 273.
Order K assigned to kitchen F9 incurs delivery distance 920.
Order L assigned to kitchen F9 incurs delivery distance 846.
Order M assigned to kitchen F9 incurs delivery distance 370.
Order N assigned to kitchen F9 incurs delivery distance 578.
Order O assigned to kitchen F9 incurs delivery distance 488.
Order P assigned to kitchen F9 incurs delivery distance 758.
Order Q assigned to kitchen F9 incurs delivery distance 34.
Order R assigned to kitchen F9 incurs delivery distance 28.
Order S assigned to kitchen F9 incurs delivery distance 870.
Order T assigned to kitchen F9 incurs delivery distance 539.
Aim for the combination that produces the smallest total cost.

If you want to hand the plan back to me in a tidy form, a simple JSON sketch like this is perfect — nothing fancy, just the shape I expect:

{
  ""solution"": {
    ""selected"": [<kitchen_to_switch_on>, <kitchen_to_switch_on>, ...],
    ""assignments"": [<chosen_switched_on_kitchen>, <chosen_switched_on_kitchen>, ...]
  }
}

Think of ""selected"" as the list of kitchens you flip on (just put their exact IDs in that list), and ""assignments"" as, for each order in the same sequence as the input, which switched-on kitchen will handle it. Super casual: it's just two lists — which kitchens are active, and who serves which order.

This JSON is only a sketch of the expected shape, not the final answer — fill in the real kitchen IDs and assignments when you submit.

Also: all identifiers must be used exactly as they appear in the instance input — no renaming and no new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'opening_costs': [1956, 1996, 1015, 1915, 1911, 1424, 1287, 1291, 1296], 'connection_costs': [[23, 120, 167, 842, 171, 509, 54, 36, 381, 792, 712, 492, 788, 127, 295, 655, 965, 987, 809, 751], [277, 276, 523, 209, 38, 39, 457, 835, 260, 431, 774, 673, 904, 366, 181, 799, 683, 226, 892, 209], [952, 764, 643, 254, 568, 502, 382, 392, 931, 309, 893, 780, 707, 997, 31, 829, 174, 661, 905, 810], [453, 129, 511, 664, 488, 742, 147, 218, 785, 39, 4, 179, 623, 539, 693, 378, 214, 228, 982, 457], [169, 341, 226, 108, 68, 600, 73, 151, 156, 545, 425, 805, 88, 350, 816, 674, 728, 156, 625, 380], [407, 4, 799, 511, 72, 305, 201, 800, 187, 938, 332, 566, 411, 951, 580, 41, 447, 618, 226, 208], [598, 524, 106, 231, 108, 166, 740, 814, 141, 851, 414, 600, 571, 242, 514, 454, 993, 583, 641, 217], [370, 658, 840, 272, 224, 631, 801, 494, 590, 770, 950, 874, 358, 322, 89, 337, 115, 70, 327, 666], [734, 606, 371, 25, 317, 826, 994, 240, 417, 273, 920, 846, 370, 578, 488, 758, 34, 28, 870, 539]], 'objective': 7676.0}","{'open_facilities': [5, 8], 'assignments': [5, 5, 8, 8, 5, 5, 5, 8, 5, 8, 5, 5, 8, 8, 8, 5, 8, 8, 5, 5]}",7676.0,"{'problem_type': 'UFLP', 'num_facilities': 9, 'num_customers': 20, 'facilities': [{'id': 'F1', 'opening_cost': 1956}, {'id': 'F2', 'opening_cost': 1996}, {'id': 'F3', 'opening_cost': 1015}, {'id': 'F4', 'opening_cost': 1915}, {'id': 'F5', 'opening_cost': 1911}, {'id': 'F6', 'opening_cost': 1424}, {'id': 'F7', 'opening_cost': 1287}, {'id': 'F8', 'opening_cost': 1291}, {'id': 'F9', 'opening_cost': 1296}], 'customers': [{'id': 'A'}, {'id': 'B'}, {'id': 'C'}, {'id': 'D'}, {'id': 'E'}, {'id': 'F'}, {'id': 'G'}, {'id': 'H'}, {'id': 'I'}, {'id': 'J'}, {'id': 'K'}, {'id': 'L'}, {'id': 'M'}, {'id': 'N'}, {'id': 'O'}, {'id': 'P'}, {'id': 'Q'}, {'id': 'R'}, {'id': 'S'}, {'id': 'T'}], 'connection_costs': [{'facility': 'F1', 'customer': 'A', 'cost': 23}, {'facility': 'F1', 'customer': 'B', 'cost': 120}, {'facility': 'F1', 'customer': 'C', 'cost': 167}, {'facility': 'F1', 'customer': 'D', 'cost': 842}, {'facility': 'F1', 'customer': 'E', 'cost': 171}, {'facility': 'F1', 'customer': 'F', 'cost': 509}, {'facility': 'F1', 'customer': 'G', 'cost': 54}, {'facility': 'F1', 'customer': 'H', 'cost': 36}, {'facility': 'F1', 'customer': 'I', 'cost': 381}, {'facility': 'F1', 'customer': 'J', 'cost': 792}, {'facility': 'F1', 'customer': 'K', 'cost': 712}, {'facility': 'F1', 'customer': 'L', 'cost': 492}, {'facility': 'F1', 'customer': 'M', 'cost': 788}, {'facility': 'F1', 'customer': 'N', 'cost': 127}, {'facility': 'F1', 'customer': 'O', 'cost': 295}, {'facility': 'F1', 'customer': 'P', 'cost': 655}, {'facility': 'F1', 'customer': 'Q', 'cost': 965}, {'facility': 'F1', 'customer': 'R', 'cost': 987}, {'facility': 'F1', 'customer': 'S', 'cost': 809}, {'facility': 'F1', 'customer': 'T', 'cost': 751}, {'facility': 'F2', 'customer': 'A', 'cost': 277}, {'facility': 'F2', 'customer': 'B', 'cost': 276}, {'facility': 'F2', 'customer': 'C', 'cost': 523}, {'facility': 'F2', 'customer': 'D', 'cost': 209}, {'facility': 'F2', 'customer': 'E', 'cost': 38}, {'facility': 'F2', 'customer': 'F', 'cost': 39}, {'facility': 'F2', 'customer': 'G', 'cost': 457}, {'facility': 'F2', 'customer': 'H', 'cost': 835}, {'facility': 'F2', 'customer': 'I', 'cost': 260}, {'facility': 'F2', 'customer': 'J', 'cost': 431}, {'facility': 'F2', 'customer': 'K', 'cost': 774}, {'facility': 'F2', 'customer': 'L', 'cost': 673}, {'facility': 'F2', 'customer': 'M', 'cost': 904}, {'facility': 'F2', 'customer': 'N', 'cost': 366}, {'facility': 'F2', 'customer': 'O', 'cost': 181}, {'facility': 'F2', 'customer': 'P', 'cost': 799}, {'facility': 'F2', 'customer': 'Q', 'cost': 683}, {'facility': 'F2', 'customer': 'R', 'cost': 226}, {'facility': 'F2', 'customer': 'S', 'cost': 892}, {'facility': 'F2', 'customer': 'T', 'cost': 209}, {'facility': 'F3', 'customer': 'A', 'cost': 952}, {'facility': 'F3', 'customer': 'B', 'cost': 764}, {'facility': 'F3', 'customer': 'C', 'cost': 643}, {'facility': 'F3', 'customer': 'D', 'cost': 254}, {'facility': 'F3', 'customer': 'E', 'cost': 568}, {'facility': 'F3', 'customer': 'F', 'cost': 502}, {'facility': 'F3', 'customer': 'G', 'cost': 382}, {'facility': 'F3', 'customer': 'H', 'cost': 392}, {'facility': 'F3', 'customer': 'I', 'cost': 931}, {'facility': 'F3', 'customer': 'J', 'cost': 309}, {'facility': 'F3', 'customer': 'K', 'cost': 893}, {'facility': 'F3', 'customer': 'L', 'cost': 780}, {'facility': 'F3', 'customer': 'M', 'cost': 707}, {'facility': 'F3', 'customer': 'N', 'cost': 997}, {'facility': 'F3', 'customer': 'O', 'cost': 31}, {'facility': 'F3', 'customer': 'P', 'cost': 829}, {'facility': 'F3', 'customer': 'Q', 'cost': 174}, {'facility': 'F3', 'customer': 'R', 'cost': 661}, {'facility': 'F3', 'customer': 'S', 'cost': 905}, {'facility': 'F3', 'customer': 'T', 'cost': 810}, {'facility': 'F4', 'customer': 'A', 'cost': 453}, {'facility': 'F4', 'customer': 'B', 'cost': 129}, {'facility': 'F4', 'customer': 'C', 'cost': 511}, {'facility': 'F4', 'customer': 'D', 'cost': 664}, {'facility': 'F4', 'customer': 'E', 'cost': 488}, {'facility': 'F4', 'customer': 'F', 'cost': 742}, {'facility': 'F4', 'customer': 'G', 'cost': 147}, {'facility': 'F4', 'customer': 'H', 'cost': 218}, {'facility': 'F4', 'customer': 'I', 'cost': 785}, {'facility': 'F4', 'customer': 'J', 'cost': 39}, {'facility': 'F4', 'customer': 'K', 'cost': 4}, {'facility': 'F4', 'customer': 'L', 'cost': 179}, {'facility': 'F4', 'customer': 'M', 'cost': 623}, {'facility': 'F4', 'customer': 'N', 'cost': 539}, {'facility': 'F4', 'customer': 'O', 'cost': 693}, {'facility': 'F4', 'customer': 'P', 'cost': 378}, {'facility': 'F4', 'customer': 'Q', 'cost': 214}, {'facility': 'F4', 'customer': 'R', 'cost': 228}, {'facility': 'F4', 'customer': 'S', 'cost': 982}, {'facility': 'F4', 'customer': 'T', 'cost': 457}, {'facility': 'F5', 'customer': 'A', 'cost': 169}, {'facility': 'F5', 'customer': 'B', 'cost': 341}, {'facility': 'F5', 'customer': 'C', 'cost': 226}, {'facility': 'F5', 'customer': 'D', 'cost': 108}, {'facility': 'F5', 'customer': 'E', 'cost': 68}, {'facility': 'F5', 'customer': 'F', 'cost': 600}, {'facility': 'F5', 'customer': 'G', 'cost': 73}, {'facility': 'F5', 'customer': 'H', 'cost': 151}, {'facility': 'F5', 'customer': 'I', 'cost': 156}, {'facility': 'F5', 'customer': 'J', 'cost': 545}, {'facility': 'F5', 'customer': 'K', 'cost': 425}, {'facility': 'F5', 'customer': 'L', 'cost': 805}, {'facility': 'F5', 'customer': 'M', 'cost': 88}, {'facility': 'F5', 'customer': 'N', 'cost': 350}, {'facility': 'F5', 'customer': 'O', 'cost': 816}, {'facility': 'F5', 'customer': 'P', 'cost': 674}, {'facility': 'F5', 'customer': 'Q', 'cost': 728}, {'facility': 'F5', 'customer': 'R', 'cost': 156}, {'facility': 'F5', 'customer': 'S', 'cost': 625}, {'facility': 'F5', 'customer': 'T', 'cost': 380}, {'facility': 'F6', 'customer': 'A', 'cost': 407}, {'facility': 'F6', 'customer': 'B', 'cost': 4}, {'facility': 'F6', 'customer': 'C', 'cost': 799}, {'facility': 'F6', 'customer': 'D', 'cost': 511}, {'facility': 'F6', 'customer': 'E', 'cost': 72}, {'facility': 'F6', 'customer': 'F', 'cost': 305}, {'facility': 'F6', 'customer': 'G', 'cost': 201}, {'facility': 'F6', 'customer': 'H', 'cost': 800}, {'facility': 'F6', 'customer': 'I', 'cost': 187}, {'facility': 'F6', 'customer': 'J', 'cost': 938}, {'facility': 'F6', 'customer': 'K', 'cost': 332}, {'facility': 'F6', 'customer': 'L', 'cost': 566}, {'facility': 'F6', 'customer': 'M', 'cost': 411}, {'facility': 'F6', 'customer': 'N', 'cost': 951}, {'facility': 'F6', 'customer': 'O', 'cost': 580}, {'facility': 'F6', 'customer': 'P', 'cost': 41}, {'facility': 'F6', 'customer': 'Q', 'cost': 447}, {'facility': 'F6', 'customer': 'R', 'cost': 618}, {'facility': 'F6', 'customer': 'S', 'cost': 226}, {'facility': 'F6', 'customer': 'T', 'cost': 208}, {'facility': 'F7', 'customer': 'A', 'cost': 598}, {'facility': 'F7', 'customer': 'B', 'cost': 524}, {'facility': 'F7', 'customer': 'C', 'cost': 106}, {'facility': 'F7', 'customer': 'D', 'cost': 231}, {'facility': 'F7', 'customer': 'E', 'cost': 108}, {'facility': 'F7', 'customer': 'F', 'cost': 166}, {'facility': 'F7', 'customer': 'G', 'cost': 740}, {'facility': 'F7', 'customer': 'H', 'cost': 814}, {'facility': 'F7', 'customer': 'I', 'cost': 141}, {'facility': 'F7', 'customer': 'J', 'cost': 851}, {'facility': 'F7', 'customer': 'K', 'cost': 414}, {'facility': 'F7', 'customer': 'L', 'cost': 600}, {'facility': 'F7', 'customer': 'M', 'cost': 571}, {'facility': 'F7', 'customer': 'N', 'cost': 242}, {'facility': 'F7', 'customer': 'O', 'cost': 514}, {'facility': 'F7', 'customer': 'P', 'cost': 454}, {'facility': 'F7', 'customer': 'Q', 'cost': 993}, {'facility': 'F7', 'customer': 'R', 'cost': 583}, {'facility': 'F7', 'customer': 'S', 'cost': 641}, {'facility': 'F7', 'customer': 'T', 'cost': 217}, {'facility': 'F8', 'customer': 'A', 'cost': 370}, {'facility': 'F8', 'customer': 'B', 'cost': 658}, {'facility': 'F8', 'customer': 'C', 'cost': 840}, {'facility': 'F8', 'customer': 'D', 'cost': 272}, {'facility': 'F8', 'customer': 'E', 'cost': 224}, {'facility': 'F8', 'customer': 'F', 'cost': 631}, {'facility': 'F8', 'customer': 'G', 'cost': 801}, {'facility': 'F8', 'customer': 'H', 'cost': 494}, {'facility': 'F8', 'customer': 'I', 'cost': 590}, {'facility': 'F8', 'customer': 'J', 'cost': 770}, {'facility': 'F8', 'customer': 'K', 'cost': 950}, {'facility': 'F8', 'customer': 'L', 'cost': 874}, {'facility': 'F8', 'customer': 'M', 'cost': 358}, {'facility': 'F8', 'customer': 'N', 'cost': 322}, {'facility': 'F8', 'customer': 'O', 'cost': 89}, {'facility': 'F8', 'customer': 'P', 'cost': 337}, {'facility': 'F8', 'customer': 'Q', 'cost': 115}, {'facility': 'F8', 'customer': 'R', 'cost': 70}, {'facility': 'F8', 'customer': 'S', 'cost': 327}, {'facility': 'F8', 'customer': 'T', 'cost': 666}, {'facility': 'F9', 'customer': 'A', 'cost': 734}, {'facility': 'F9', 'customer': 'B', 'cost': 606}, {'facility': 'F9', 'customer': 'C', 'cost': 371}, {'facility': 'F9', 'customer': 'D', 'cost': 25}, {'facility': 'F9', 'customer': 'E', 'cost': 317}, {'facility': 'F9', 'customer': 'F', 'cost': 826}, {'facility': 'F9', 'customer': 'G', 'cost': 994}, {'facility': 'F9', 'customer': 'H', 'cost': 240}, {'facility': 'F9', 'customer': 'I', 'cost': 417}, {'facility': 'F9', 'customer': 'J', 'cost': 273}, {'facility': 'F9', 'customer': 'K', 'cost': 920}, {'facility': 'F9', 'customer': 'L', 'cost': 846}, {'facility': 'F9', 'customer': 'M', 'cost': 370}, {'facility': 'F9', 'customer': 'N', 'cost': 578}, {'facility': 'F9', 'customer': 'O', 'cost': 488}, {'facility': 'F9', 'customer': 'P', 'cost': 758}, {'facility': 'F9', 'customer': 'Q', 'cost': 34}, {'facility': 'F9', 'customer': 'R', 'cost': 28}, {'facility': 'F9', 'customer': 'S', 'cost': 870}, {'facility': 'F9', 'customer': 'T', 'cost': 539}], 'objective': 7676.0}","{'selected': ['F6', 'F9'], 'assignments': ['F6', 'F6', 'F9', 'F9', 'F6', 'F6', 'F6', 'F9', 'F6', 'F9', 'F6', 'F6', 'F9', 'F9', 'F9', 'F6', 'F9', 'F9', 'F6', 'F6']}",2,nl,names
UFLP,UFLP,"I’m trying to sort out which EV chargers to put in our apartment complex and how to link each resident’s car to one of the chargers. The idea is to pick a set of chargers to install (each has an installation fee) and then sign each car up to exactly one of the chargers that actually gets installed. A plan is better when the overall bill is lower — just add up all the installation fees for the chargers chosen plus the walking distance for every resident from their parking spot to their assigned charger — and the goal is to make that total as small as possible. Chargers can serve more than one car, but no car can be left unassigned or signed up to more than one charger. Concrete details about candidate charger locations, installation costs, residents, and distances are listed below.

# num_candidate_chargers=6
# num_resident_cars=17
# CHARGERS
charger_id,installation_cost
F1,1842
F2,1779
F3,1014
F4,1526
F5,1315
F6,1034
# RESIDENT_CARS
resident_car_id
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
# WALKING_DISTANCES
charger_id,resident_car_id,walking_distance
F1,A,519
F1,B,355
F1,C,37
F1,D,663
F1,E,810
F1,F,477
F1,G,142
F1,H,217
F1,I,977
F1,J,28
F1,K,617
F1,L,101
F1,M,501
F1,N,222
F1,O,711
F1,P,459
F1,Q,96
F2,A,611
F2,B,252
F2,C,95
F2,D,407
F2,E,604
F2,F,49
F2,G,886
F2,H,270
F2,I,424
F2,J,685
F2,K,107
F2,L,430
F2,M,551
F2,N,226
F2,O,965
F2,P,625
F2,Q,834
F3,A,306
F3,B,936
F3,C,208
F3,D,336
F3,E,267
F3,F,418
F3,G,707
F3,H,845
F3,I,796
F3,J,570
F3,K,992
F3,L,885
F3,M,502
F3,N,993
F3,O,74
F3,P,428
F3,Q,274
F4,A,823
F4,B,283
F4,C,494
F4,D,438
F4,E,945
F4,F,345
F4,G,624
F4,H,587
F4,I,258
F4,J,479
F4,K,162
F4,L,227
F4,M,11
F4,N,340
F4,O,520
F4,P,707
F4,Q,635
F5,A,946
F5,B,863
F5,C,276
F5,D,150
F5,E,109
F5,F,404
F5,G,220
F5,H,98
F5,I,67
F5,J,345
F5,K,817
F5,L,685
F5,M,730
F5,N,948
F5,O,433
F5,P,939
F5,Q,646
F6,A,142
F6,B,498
F6,C,706
F6,D,624
F6,E,205
F6,F,24
F6,G,136
F6,H,97
F6,I,412
F6,J,137
F6,K,708
F6,L,127
F6,M,845
F6,N,695
F6,O,258
F6,P,315
F6,Q,799

When you reply with a plan, please use this simple JSON layout so I can parse it easily:

{
  ""solution"": {
    ""selected"": [<charger_site_to_open>, <charger_site_to_open>, ...],
    ""assignments"": [<assigned_charger_site>, <assigned_charger_site>, ...]
  }
}

""selected"" is where you list the charger locations you want to install. ""assignments"" is a list with one entry per resident showing which installed charger they’ll use. Think of it like filling out a form: which chargers are installed, and for each resident, which charger they get. This is just the shape I need — not the final answer.

Please use the exact identifiers from the instance input — don’t rename them or invent new labels. Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'opening_costs': [1842, 1779, 1014, 1526, 1315, 1034], 'connection_costs': [[519, 355, 37, 663, 810, 477, 142, 217, 977, 28, 617, 101, 501, 222, 711, 459, 96], [611, 252, 95, 407, 604, 49, 886, 270, 424, 685, 107, 430, 551, 226, 965, 625, 834], [306, 936, 208, 336, 267, 418, 707, 845, 796, 570, 992, 885, 502, 993, 74, 428, 274], [823, 283, 494, 438, 945, 345, 624, 587, 258, 479, 162, 227, 11, 340, 520, 707, 635], [946, 863, 276, 150, 109, 404, 220, 98, 67, 345, 817, 685, 730, 948, 433, 939, 646], [142, 498, 706, 624, 205, 24, 136, 97, 412, 137, 708, 127, 845, 695, 258, 315, 799]], 'objective': 6622.0}","{'open_facilities': [3, 5], 'assignments': [5, 3, 3, 3, 5, 5, 5, 5, 3, 5, 3, 5, 3, 3, 5, 5, 3]}",6622.0,"{'problem_type': 'UFLP', 'num_facilities': 6, 'num_customers': 17, 'facilities': [{'id': 'F1', 'opening_cost': 1842}, {'id': 'F2', 'opening_cost': 1779}, {'id': 'F3', 'opening_cost': 1014}, {'id': 'F4', 'opening_cost': 1526}, {'id': 'F5', 'opening_cost': 1315}, {'id': 'F6', 'opening_cost': 1034}], 'customers': [{'id': 'A'}, {'id': 'B'}, {'id': 'C'}, {'id': 'D'}, {'id': 'E'}, {'id': 'F'}, {'id': 'G'}, {'id': 'H'}, {'id': 'I'}, {'id': 'J'}, {'id': 'K'}, {'id': 'L'}, {'id': 'M'}, {'id': 'N'}, {'id': 'O'}, {'id': 'P'}, {'id': 'Q'}], 'connection_costs': [{'facility': 'F1', 'customer': 'A', 'cost': 519}, {'facility': 'F1', 'customer': 'B', 'cost': 355}, {'facility': 'F1', 'customer': 'C', 'cost': 37}, {'facility': 'F1', 'customer': 'D', 'cost': 663}, {'facility': 'F1', 'customer': 'E', 'cost': 810}, {'facility': 'F1', 'customer': 'F', 'cost': 477}, {'facility': 'F1', 'customer': 'G', 'cost': 142}, {'facility': 'F1', 'customer': 'H', 'cost': 217}, {'facility': 'F1', 'customer': 'I', 'cost': 977}, {'facility': 'F1', 'customer': 'J', 'cost': 28}, {'facility': 'F1', 'customer': 'K', 'cost': 617}, {'facility': 'F1', 'customer': 'L', 'cost': 101}, {'facility': 'F1', 'customer': 'M', 'cost': 501}, {'facility': 'F1', 'customer': 'N', 'cost': 222}, {'facility': 'F1', 'customer': 'O', 'cost': 711}, {'facility': 'F1', 'customer': 'P', 'cost': 459}, {'facility': 'F1', 'customer': 'Q', 'cost': 96}, {'facility': 'F2', 'customer': 'A', 'cost': 611}, {'facility': 'F2', 'customer': 'B', 'cost': 252}, {'facility': 'F2', 'customer': 'C', 'cost': 95}, {'facility': 'F2', 'customer': 'D', 'cost': 407}, {'facility': 'F2', 'customer': 'E', 'cost': 604}, {'facility': 'F2', 'customer': 'F', 'cost': 49}, {'facility': 'F2', 'customer': 'G', 'cost': 886}, {'facility': 'F2', 'customer': 'H', 'cost': 270}, {'facility': 'F2', 'customer': 'I', 'cost': 424}, {'facility': 'F2', 'customer': 'J', 'cost': 685}, {'facility': 'F2', 'customer': 'K', 'cost': 107}, {'facility': 'F2', 'customer': 'L', 'cost': 430}, {'facility': 'F2', 'customer': 'M', 'cost': 551}, {'facility': 'F2', 'customer': 'N', 'cost': 226}, {'facility': 'F2', 'customer': 'O', 'cost': 965}, {'facility': 'F2', 'customer': 'P', 'cost': 625}, {'facility': 'F2', 'customer': 'Q', 'cost': 834}, {'facility': 'F3', 'customer': 'A', 'cost': 306}, {'facility': 'F3', 'customer': 'B', 'cost': 936}, {'facility': 'F3', 'customer': 'C', 'cost': 208}, {'facility': 'F3', 'customer': 'D', 'cost': 336}, {'facility': 'F3', 'customer': 'E', 'cost': 267}, {'facility': 'F3', 'customer': 'F', 'cost': 418}, {'facility': 'F3', 'customer': 'G', 'cost': 707}, {'facility': 'F3', 'customer': 'H', 'cost': 845}, {'facility': 'F3', 'customer': 'I', 'cost': 796}, {'facility': 'F3', 'customer': 'J', 'cost': 570}, {'facility': 'F3', 'customer': 'K', 'cost': 992}, {'facility': 'F3', 'customer': 'L', 'cost': 885}, {'facility': 'F3', 'customer': 'M', 'cost': 502}, {'facility': 'F3', 'customer': 'N', 'cost': 993}, {'facility': 'F3', 'customer': 'O', 'cost': 74}, {'facility': 'F3', 'customer': 'P', 'cost': 428}, {'facility': 'F3', 'customer': 'Q', 'cost': 274}, {'facility': 'F4', 'customer': 'A', 'cost': 823}, {'facility': 'F4', 'customer': 'B', 'cost': 283}, {'facility': 'F4', 'customer': 'C', 'cost': 494}, {'facility': 'F4', 'customer': 'D', 'cost': 438}, {'facility': 'F4', 'customer': 'E', 'cost': 945}, {'facility': 'F4', 'customer': 'F', 'cost': 345}, {'facility': 'F4', 'customer': 'G', 'cost': 624}, {'facility': 'F4', 'customer': 'H', 'cost': 587}, {'facility': 'F4', 'customer': 'I', 'cost': 258}, {'facility': 'F4', 'customer': 'J', 'cost': 479}, {'facility': 'F4', 'customer': 'K', 'cost': 162}, {'facility': 'F4', 'customer': 'L', 'cost': 227}, {'facility': 'F4', 'customer': 'M', 'cost': 11}, {'facility': 'F4', 'customer': 'N', 'cost': 340}, {'facility': 'F4', 'customer': 'O', 'cost': 520}, {'facility': 'F4', 'customer': 'P', 'cost': 707}, {'facility': 'F4', 'customer': 'Q', 'cost': 635}, {'facility': 'F5', 'customer': 'A', 'cost': 946}, {'facility': 'F5', 'customer': 'B', 'cost': 863}, {'facility': 'F5', 'customer': 'C', 'cost': 276}, {'facility': 'F5', 'customer': 'D', 'cost': 150}, {'facility': 'F5', 'customer': 'E', 'cost': 109}, {'facility': 'F5', 'customer': 'F', 'cost': 404}, {'facility': 'F5', 'customer': 'G', 'cost': 220}, {'facility': 'F5', 'customer': 'H', 'cost': 98}, {'facility': 'F5', 'customer': 'I', 'cost': 67}, {'facility': 'F5', 'customer': 'J', 'cost': 345}, {'facility': 'F5', 'customer': 'K', 'cost': 817}, {'facility': 'F5', 'customer': 'L', 'cost': 685}, {'facility': 'F5', 'customer': 'M', 'cost': 730}, {'facility': 'F5', 'customer': 'N', 'cost': 948}, {'facility': 'F5', 'customer': 'O', 'cost': 433}, {'facility': 'F5', 'customer': 'P', 'cost': 939}, {'facility': 'F5', 'customer': 'Q', 'cost': 646}, {'facility': 'F6', 'customer': 'A', 'cost': 142}, {'facility': 'F6', 'customer': 'B', 'cost': 498}, {'facility': 'F6', 'customer': 'C', 'cost': 706}, {'facility': 'F6', 'customer': 'D', 'cost': 624}, {'facility': 'F6', 'customer': 'E', 'cost': 205}, {'facility': 'F6', 'customer': 'F', 'cost': 24}, {'facility': 'F6', 'customer': 'G', 'cost': 136}, {'facility': 'F6', 'customer': 'H', 'cost': 97}, {'facility': 'F6', 'customer': 'I', 'cost': 412}, {'facility': 'F6', 'customer': 'J', 'cost': 137}, {'facility': 'F6', 'customer': 'K', 'cost': 708}, {'facility': 'F6', 'customer': 'L', 'cost': 127}, {'facility': 'F6', 'customer': 'M', 'cost': 845}, {'facility': 'F6', 'customer': 'N', 'cost': 695}, {'facility': 'F6', 'customer': 'O', 'cost': 258}, {'facility': 'F6', 'customer': 'P', 'cost': 315}, {'facility': 'F6', 'customer': 'Q', 'cost': 799}], 'objective': 6622.0}","{'selected': ['F4', 'F6'], 'assignments': ['F6', 'F4', 'F4', 'F4', 'F6', 'F6', 'F6', 'F6', 'F4', 'F6', 'F4', 'F6', 'F4', 'F4', 'F6', 'F6', 'F4']}",3,csv,names
UFLP,UFLP,"Many people browse the clothing tents at the market, and the organizer needs to pick which pop-up stalls to pay for and then route every shopper to one of the paid stalls. Each stall carries a rent, and each shopper’s walk to their stall carries a travel cost, so the best setup is the one with the lowest total: add the rents for all the stalls that are booked and the travel cost for every shopper to reach their single assigned stall. Each shopper must be matched to exactly one rented stall, and shoppers are only allowed to go to stalls that were actually rented. The concrete details about stalls, prices, and shoppers appear below.

# num_candidate_stalls=8
# num_shoppers=18
# STALLS
stall_id,stall_rent
F1,2000
F2,2000
F3,2000
F4,2000
F5,2000
F6,2000
F7,2000
F8,2000
# SHOPPERS
shopper_id
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
# SHOPPER_WALKS
stall_id,shopper_id,shopper_walk_cost
F1,0,634
F1,1,717
F1,2,837
F1,3,66
F1,4,483
F1,5,397
F1,6,852
F1,7,379
F1,8,235
F1,9,926
F1,10,453
F1,11,264
F1,12,270
F1,13,147
F1,14,520
F1,15,551
F1,16,193
F1,17,208
F2,0,369
F2,1,524
F2,2,403
F2,3,58
F2,4,324
F2,5,52
F2,6,465
F2,7,415
F2,8,427
F2,9,280
F2,10,782
F2,11,876
F2,12,826
F2,13,633
F2,14,158
F2,15,937
F2,16,745
F2,17,882
F3,0,69
F3,1,135
F3,2,100
F3,3,471
F3,4,162
F3,5,239
F3,6,18
F3,7,835
F3,8,193
F3,9,438
F3,10,834
F3,11,495
F3,12,504
F3,13,195
F3,14,414
F3,15,737
F3,16,715
F3,17,283
F4,0,622
F4,1,798
F4,2,429
F4,3,644
F4,4,829
F4,5,821
F4,6,953
F4,7,416
F4,8,98
F4,9,186
F4,10,804
F4,11,993
F4,12,508
F4,13,354
F4,14,438
F4,15,760
F4,16,242
F4,17,710
F5,0,660
F5,1,714
F5,2,544
F5,3,413
F5,4,482
F5,5,75
F5,6,776
F5,7,82
F5,8,494
F5,9,86
F5,10,676
F5,11,279
F5,12,471
F5,13,408
F5,14,521
F5,15,373
F5,16,377
F5,17,195
F6,0,137
F6,1,991
F6,2,576
F6,3,876
F6,4,807
F6,5,657
F6,6,824
F6,7,769
F6,8,494
F6,9,508
F6,10,432
F6,11,857
F6,12,61
F6,13,240
F6,14,172
F6,15,597
F6,16,791
F6,17,915
F7,0,59
F7,1,619
F7,2,607
F7,3,98
F7,4,247
F7,5,177
F7,6,767
F7,7,9
F7,8,881
F7,9,626
F7,10,195
F7,11,866
F7,12,2
F7,13,855
F7,14,321
F7,15,703
F7,16,82
F7,17,827
F8,0,500
F8,1,413
F8,2,753
F8,3,812
F8,4,836
F8,5,94
F8,6,542
F8,7,12
F8,8,684
F8,9,78
F8,10,727
F8,11,87
F8,12,520
F8,13,241
F8,14,946
F8,15,167
F8,16,165
F8,17,876

Also, when you hand back the final plan, please use this JSON layout so it's easy to read and check:

{
  ""solution"": {
    ""selected"": [<stall_to_rent>, <stall_to_rent>, ...],
    ""assignments"": [<chosen_rented_stall>, <chosen_rented_stall>, ...]
  }
}

Pretty simple: ""selected"" is the list of stalls you decide to rent, and ""assignments"" lists, in the same order as the shoppers appear in the instance, which rented stall each shopper goes to. Think of it as a short form: which stalls are paid for, and then one chosen stall per shopper.

This JSON is just a sketch of the shape I expect, not the actual solution. All identifiers you use must match the instance exactly — do not rename them or invent new labels. 

- for example: ""Valid identifiers look like plain numbers such as ""1"" or ""23"", single capital letters like ""A"" or ""B"", or a capital letter followed by digits like ""A1"" or ""X7"".""","{'opening_costs': [2000, 2000, 2000, 2000, 2000, 2000, 2000, 2000], 'connection_costs': [[634, 717, 837, 66, 483, 397, 852, 379, 235, 926, 453, 264, 270, 147, 520, 551, 193, 208], [369, 524, 403, 58, 324, 52, 465, 415, 427, 280, 782, 876, 826, 633, 158, 937, 745, 882], [69, 135, 100, 471, 162, 239, 18, 835, 193, 438, 834, 495, 504, 195, 414, 737, 715, 283], [622, 798, 429, 644, 829, 821, 953, 416, 98, 186, 804, 993, 508, 354, 438, 760, 242, 710], [660, 714, 544, 413, 482, 75, 776, 82, 494, 86, 676, 279, 471, 408, 521, 373, 377, 195], [137, 991, 576, 876, 807, 657, 824, 769, 494, 508, 432, 857, 61, 240, 172, 597, 791, 915], [59, 619, 607, 98, 247, 177, 767, 9, 881, 626, 195, 866, 2, 855, 321, 703, 82, 827], [500, 413, 753, 812, 836, 94, 542, 12, 684, 78, 727, 87, 520, 241, 946, 167, 165, 876]], 'objective': 7665.0}","{'open_facilities': [2, 6], 'assignments': [6, 2, 2, 6, 2, 6, 2, 6, 2, 2, 6, 2, 6, 2, 6, 6, 6, 2]}",7665.0,"{'problem_type': 'UFLP', 'num_facilities': 8, 'num_customers': 18, 'facilities': [{'id': 'F1', 'opening_cost': 2000}, {'id': 'F2', 'opening_cost': 2000}, {'id': 'F3', 'opening_cost': 2000}, {'id': 'F4', 'opening_cost': 2000}, {'id': 'F5', 'opening_cost': 2000}, {'id': 'F6', 'opening_cost': 2000}, {'id': 'F7', 'opening_cost': 2000}, {'id': 'F8', 'opening_cost': 2000}], 'customers': [{'id': 0}, {'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}, {'id': 16}, {'id': 17}], 'connection_costs': [{'facility': 'F1', 'customer': 0, 'cost': 634}, {'facility': 'F1', 'customer': 1, 'cost': 717}, {'facility': 'F1', 'customer': 2, 'cost': 837}, {'facility': 'F1', 'customer': 3, 'cost': 66}, {'facility': 'F1', 'customer': 4, 'cost': 483}, {'facility': 'F1', 'customer': 5, 'cost': 397}, {'facility': 'F1', 'customer': 6, 'cost': 852}, {'facility': 'F1', 'customer': 7, 'cost': 379}, {'facility': 'F1', 'customer': 8, 'cost': 235}, {'facility': 'F1', 'customer': 9, 'cost': 926}, {'facility': 'F1', 'customer': 10, 'cost': 453}, {'facility': 'F1', 'customer': 11, 'cost': 264}, {'facility': 'F1', 'customer': 12, 'cost': 270}, {'facility': 'F1', 'customer': 13, 'cost': 147}, {'facility': 'F1', 'customer': 14, 'cost': 520}, {'facility': 'F1', 'customer': 15, 'cost': 551}, {'facility': 'F1', 'customer': 16, 'cost': 193}, {'facility': 'F1', 'customer': 17, 'cost': 208}, {'facility': 'F2', 'customer': 0, 'cost': 369}, {'facility': 'F2', 'customer': 1, 'cost': 524}, {'facility': 'F2', 'customer': 2, 'cost': 403}, {'facility': 'F2', 'customer': 3, 'cost': 58}, {'facility': 'F2', 'customer': 4, 'cost': 324}, {'facility': 'F2', 'customer': 5, 'cost': 52}, {'facility': 'F2', 'customer': 6, 'cost': 465}, {'facility': 'F2', 'customer': 7, 'cost': 415}, {'facility': 'F2', 'customer': 8, 'cost': 427}, {'facility': 'F2', 'customer': 9, 'cost': 280}, {'facility': 'F2', 'customer': 10, 'cost': 782}, {'facility': 'F2', 'customer': 11, 'cost': 876}, {'facility': 'F2', 'customer': 12, 'cost': 826}, {'facility': 'F2', 'customer': 13, 'cost': 633}, {'facility': 'F2', 'customer': 14, 'cost': 158}, {'facility': 'F2', 'customer': 15, 'cost': 937}, {'facility': 'F2', 'customer': 16, 'cost': 745}, {'facility': 'F2', 'customer': 17, 'cost': 882}, {'facility': 'F3', 'customer': 0, 'cost': 69}, {'facility': 'F3', 'customer': 1, 'cost': 135}, {'facility': 'F3', 'customer': 2, 'cost': 100}, {'facility': 'F3', 'customer': 3, 'cost': 471}, {'facility': 'F3', 'customer': 4, 'cost': 162}, {'facility': 'F3', 'customer': 5, 'cost': 239}, {'facility': 'F3', 'customer': 6, 'cost': 18}, {'facility': 'F3', 'customer': 7, 'cost': 835}, {'facility': 'F3', 'customer': 8, 'cost': 193}, {'facility': 'F3', 'customer': 9, 'cost': 438}, {'facility': 'F3', 'customer': 10, 'cost': 834}, {'facility': 'F3', 'customer': 11, 'cost': 495}, {'facility': 'F3', 'customer': 12, 'cost': 504}, {'facility': 'F3', 'customer': 13, 'cost': 195}, {'facility': 'F3', 'customer': 14, 'cost': 414}, {'facility': 'F3', 'customer': 15, 'cost': 737}, {'facility': 'F3', 'customer': 16, 'cost': 715}, {'facility': 'F3', 'customer': 17, 'cost': 283}, {'facility': 'F4', 'customer': 0, 'cost': 622}, {'facility': 'F4', 'customer': 1, 'cost': 798}, {'facility': 'F4', 'customer': 2, 'cost': 429}, {'facility': 'F4', 'customer': 3, 'cost': 644}, {'facility': 'F4', 'customer': 4, 'cost': 829}, {'facility': 'F4', 'customer': 5, 'cost': 821}, {'facility': 'F4', 'customer': 6, 'cost': 953}, {'facility': 'F4', 'customer': 7, 'cost': 416}, {'facility': 'F4', 'customer': 8, 'cost': 98}, {'facility': 'F4', 'customer': 9, 'cost': 186}, {'facility': 'F4', 'customer': 10, 'cost': 804}, {'facility': 'F4', 'customer': 11, 'cost': 993}, {'facility': 'F4', 'customer': 12, 'cost': 508}, {'facility': 'F4', 'customer': 13, 'cost': 354}, {'facility': 'F4', 'customer': 14, 'cost': 438}, {'facility': 'F4', 'customer': 15, 'cost': 760}, {'facility': 'F4', 'customer': 16, 'cost': 242}, {'facility': 'F4', 'customer': 17, 'cost': 710}, {'facility': 'F5', 'customer': 0, 'cost': 660}, {'facility': 'F5', 'customer': 1, 'cost': 714}, {'facility': 'F5', 'customer': 2, 'cost': 544}, {'facility': 'F5', 'customer': 3, 'cost': 413}, {'facility': 'F5', 'customer': 4, 'cost': 482}, {'facility': 'F5', 'customer': 5, 'cost': 75}, {'facility': 'F5', 'customer': 6, 'cost': 776}, {'facility': 'F5', 'customer': 7, 'cost': 82}, {'facility': 'F5', 'customer': 8, 'cost': 494}, {'facility': 'F5', 'customer': 9, 'cost': 86}, {'facility': 'F5', 'customer': 10, 'cost': 676}, {'facility': 'F5', 'customer': 11, 'cost': 279}, {'facility': 'F5', 'customer': 12, 'cost': 471}, {'facility': 'F5', 'customer': 13, 'cost': 408}, {'facility': 'F5', 'customer': 14, 'cost': 521}, {'facility': 'F5', 'customer': 15, 'cost': 373}, {'facility': 'F5', 'customer': 16, 'cost': 377}, {'facility': 'F5', 'customer': 17, 'cost': 195}, {'facility': 'F6', 'customer': 0, 'cost': 137}, {'facility': 'F6', 'customer': 1, 'cost': 991}, {'facility': 'F6', 'customer': 2, 'cost': 576}, {'facility': 'F6', 'customer': 3, 'cost': 876}, {'facility': 'F6', 'customer': 4, 'cost': 807}, {'facility': 'F6', 'customer': 5, 'cost': 657}, {'facility': 'F6', 'customer': 6, 'cost': 824}, {'facility': 'F6', 'customer': 7, 'cost': 769}, {'facility': 'F6', 'customer': 8, 'cost': 494}, {'facility': 'F6', 'customer': 9, 'cost': 508}, {'facility': 'F6', 'customer': 10, 'cost': 432}, {'facility': 'F6', 'customer': 11, 'cost': 857}, {'facility': 'F6', 'customer': 12, 'cost': 61}, {'facility': 'F6', 'customer': 13, 'cost': 240}, {'facility': 'F6', 'customer': 14, 'cost': 172}, {'facility': 'F6', 'customer': 15, 'cost': 597}, {'facility': 'F6', 'customer': 16, 'cost': 791}, {'facility': 'F6', 'customer': 17, 'cost': 915}, {'facility': 'F7', 'customer': 0, 'cost': 59}, {'facility': 'F7', 'customer': 1, 'cost': 619}, {'facility': 'F7', 'customer': 2, 'cost': 607}, {'facility': 'F7', 'customer': 3, 'cost': 98}, {'facility': 'F7', 'customer': 4, 'cost': 247}, {'facility': 'F7', 'customer': 5, 'cost': 177}, {'facility': 'F7', 'customer': 6, 'cost': 767}, {'facility': 'F7', 'customer': 7, 'cost': 9}, {'facility': 'F7', 'customer': 8, 'cost': 881}, {'facility': 'F7', 'customer': 9, 'cost': 626}, {'facility': 'F7', 'customer': 10, 'cost': 195}, {'facility': 'F7', 'customer': 11, 'cost': 866}, {'facility': 'F7', 'customer': 12, 'cost': 2}, {'facility': 'F7', 'customer': 13, 'cost': 855}, {'facility': 'F7', 'customer': 14, 'cost': 321}, {'facility': 'F7', 'customer': 15, 'cost': 703}, {'facility': 'F7', 'customer': 16, 'cost': 82}, {'facility': 'F7', 'customer': 17, 'cost': 827}, {'facility': 'F8', 'customer': 0, 'cost': 500}, {'facility': 'F8', 'customer': 1, 'cost': 413}, {'facility': 'F8', 'customer': 2, 'cost': 753}, {'facility': 'F8', 'customer': 3, 'cost': 812}, {'facility': 'F8', 'customer': 4, 'cost': 836}, {'facility': 'F8', 'customer': 5, 'cost': 94}, {'facility': 'F8', 'customer': 6, 'cost': 542}, {'facility': 'F8', 'customer': 7, 'cost': 12}, {'facility': 'F8', 'customer': 8, 'cost': 684}, {'facility': 'F8', 'customer': 9, 'cost': 78}, {'facility': 'F8', 'customer': 10, 'cost': 727}, {'facility': 'F8', 'customer': 11, 'cost': 87}, {'facility': 'F8', 'customer': 12, 'cost': 520}, {'facility': 'F8', 'customer': 13, 'cost': 241}, {'facility': 'F8', 'customer': 14, 'cost': 946}, {'facility': 'F8', 'customer': 15, 'cost': 167}, {'facility': 'F8', 'customer': 16, 'cost': 165}, {'facility': 'F8', 'customer': 17, 'cost': 876}], 'objective': 7665.0}","{'selected': ['F3', 'F7'], 'assignments': ['F7', 'F3', 'F3', 'F7', 'F3', 'F7', 'F3', 'F7', 'F3', 'F3', 'F7', 'F3', 'F7', 'F3', 'F7', 'F7', 'F7', 'F3']}",4,csv,0
UFLP,UFLP,"Recently the neighborhood board brought up which community tool sheds to keep maintained and how to assign homes to them. The job is to choose some sheds to pay for and then register each household with a single kept shed — households can only access sheds on that maintained list. To pick the best arrangement, you add the maintenance costs for the kept sheds and the travel cost for each household to reach its assigned shed; the arrangement with the lowest total of those added costs is preferred. No home can be left out or listed twice. The detailed costs and household distances are provided below.

# total_candidate_sheds=8
# total_households=19
# SHEDS
shed_id,maintenance_cost
F1,2000
F2,2000
F3,2000
F4,2000
F5,2000
F6,2000
F7,2000
F8,2000
# HOUSEHOLDS
household_id
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
# HOUSEHOLD_TRAVELS
shed_id,household_id,household_travel_cost
F1,A,936
F1,B,495
F1,C,743
F1,D,435
F1,E,524
F1,F,253
F1,G,245
F1,H,395
F1,I,594
F1,J,119
F1,K,680
F1,L,30
F1,M,694
F1,N,474
F1,O,567
F1,P,417
F1,Q,146
F1,R,762
F1,S,655
F2,A,299
F2,B,710
F2,C,423
F2,D,447
F2,E,310
F2,F,534
F2,G,4
F2,H,457
F2,I,132
F2,J,147
F2,K,236
F2,L,440
F2,M,636
F2,N,674
F2,O,494
F2,P,181
F2,Q,668
F2,R,127
F2,S,477
F3,A,433
F3,B,557
F3,C,292
F3,D,903
F3,E,283
F3,F,598
F3,G,916
F3,H,67
F3,I,626
F3,J,562
F3,K,113
F3,L,595
F3,M,199
F3,N,43
F3,O,315
F3,P,740
F3,Q,941
F3,R,718
F3,S,160
F4,A,661
F4,B,313
F4,C,919
F4,D,260
F4,E,752
F4,F,458
F4,G,585
F4,H,834
F4,I,777
F4,J,666
F4,K,699
F4,L,264
F4,M,185
F4,N,537
F4,O,834
F4,P,695
F4,Q,38
F4,R,972
F4,S,734
F5,A,719
F5,B,987
F5,C,19
F5,D,270
F5,E,115
F5,F,167
F5,G,728
F5,H,323
F5,I,351
F5,J,585
F5,K,700
F5,L,763
F5,M,510
F5,N,662
F5,O,578
F5,P,149
F5,Q,900
F5,R,975
F5,S,94
F6,A,58
F6,B,959
F6,C,250
F6,D,845
F6,E,727
F6,F,422
F6,G,115
F6,H,924
F6,I,851
F6,J,32
F6,K,528
F6,L,746
F6,M,113
F6,N,281
F6,O,924
F6,P,617
F6,Q,712
F6,R,602
F6,S,621
F7,A,840
F7,B,38
F7,C,17
F7,D,531
F7,E,483
F7,F,882
F7,G,240
F7,H,140
F7,I,345
F7,J,86
F7,K,452
F7,L,530
F7,M,785
F7,N,306
F7,O,256
F7,P,416
F7,Q,125
F7,R,747
F7,S,402
F8,A,630
F8,B,480
F8,C,886
F8,D,914
F8,E,435
F8,F,797
F8,G,100
F8,H,61
F8,I,805
F8,J,261
F8,K,19
F8,L,828
F8,M,392
F8,N,439
F8,O,343
F8,P,134
F8,Q,729
F8,R,72
F8,S,44

Also, when you send the actual solution back, just stick to a small JSON shape so it's easy to check. Something casual like this will do:

{
  ""solution"": {
    ""selected"": [<shed_to_keep>, <shed_to_keep>, ...],
    ""assignments"": [<assigned_shed>, <assigned_shed>, ...]
  }
}

Here ""selected"" is the list of shed locations you choose to keep (their IDs), and ""assignments"" lists, for each household in the same order as the input, which kept shed they're signed up to. Think of it like filling out a simple form — which sheds are kept and where each house is registered. This JSON is just the sketch of the shape I expect, not the filled-in answer.

Please use the exact identifiers from the instance input — do not rename them or invent new labels. Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'opening_costs': [2000, 2000, 2000, 2000, 2000, 2000, 2000, 2000], 'connection_costs': [[936, 495, 743, 435, 524, 253, 245, 395, 594, 119, 680, 30, 694, 474, 567, 417, 146, 762, 655], [299, 710, 423, 447, 310, 534, 4, 457, 132, 147, 236, 440, 636, 674, 494, 181, 668, 127, 477], [433, 557, 292, 903, 283, 598, 916, 67, 626, 562, 113, 595, 199, 43, 315, 740, 941, 718, 160], [661, 313, 919, 260, 752, 458, 585, 834, 777, 666, 699, 264, 185, 537, 834, 695, 38, 972, 734], [719, 987, 19, 270, 115, 167, 728, 323, 351, 585, 700, 763, 510, 662, 578, 149, 900, 975, 94], [58, 959, 250, 845, 727, 422, 115, 924, 851, 32, 528, 746, 113, 281, 924, 617, 712, 602, 621], [840, 38, 17, 531, 483, 882, 240, 140, 345, 86, 452, 530, 785, 306, 256, 416, 125, 747, 402], [630, 480, 886, 914, 435, 797, 100, 61, 805, 261, 19, 828, 392, 439, 343, 134, 729, 72, 44]], 'objective': 8716.0}","{'open_facilities': [1, 6], 'assignments': [1, 6, 6, 1, 1, 1, 1, 6, 1, 6, 1, 1, 1, 6, 6, 1, 6, 1, 6]}",8716.0,"{'problem_type': 'UFLP', 'num_facilities': 8, 'num_customers': 19, 'facilities': [{'id': 'F1', 'opening_cost': 2000}, {'id': 'F2', 'opening_cost': 2000}, {'id': 'F3', 'opening_cost': 2000}, {'id': 'F4', 'opening_cost': 2000}, {'id': 'F5', 'opening_cost': 2000}, {'id': 'F6', 'opening_cost': 2000}, {'id': 'F7', 'opening_cost': 2000}, {'id': 'F8', 'opening_cost': 2000}], 'customers': [{'id': 'A'}, {'id': 'B'}, {'id': 'C'}, {'id': 'D'}, {'id': 'E'}, {'id': 'F'}, {'id': 'G'}, {'id': 'H'}, {'id': 'I'}, {'id': 'J'}, {'id': 'K'}, {'id': 'L'}, {'id': 'M'}, {'id': 'N'}, {'id': 'O'}, {'id': 'P'}, {'id': 'Q'}, {'id': 'R'}, {'id': 'S'}], 'connection_costs': [{'facility': 'F1', 'customer': 'A', 'cost': 936}, {'facility': 'F1', 'customer': 'B', 'cost': 495}, {'facility': 'F1', 'customer': 'C', 'cost': 743}, {'facility': 'F1', 'customer': 'D', 'cost': 435}, {'facility': 'F1', 'customer': 'E', 'cost': 524}, {'facility': 'F1', 'customer': 'F', 'cost': 253}, {'facility': 'F1', 'customer': 'G', 'cost': 245}, {'facility': 'F1', 'customer': 'H', 'cost': 395}, {'facility': 'F1', 'customer': 'I', 'cost': 594}, {'facility': 'F1', 'customer': 'J', 'cost': 119}, {'facility': 'F1', 'customer': 'K', 'cost': 680}, {'facility': 'F1', 'customer': 'L', 'cost': 30}, {'facility': 'F1', 'customer': 'M', 'cost': 694}, {'facility': 'F1', 'customer': 'N', 'cost': 474}, {'facility': 'F1', 'customer': 'O', 'cost': 567}, {'facility': 'F1', 'customer': 'P', 'cost': 417}, {'facility': 'F1', 'customer': 'Q', 'cost': 146}, {'facility': 'F1', 'customer': 'R', 'cost': 762}, {'facility': 'F1', 'customer': 'S', 'cost': 655}, {'facility': 'F2', 'customer': 'A', 'cost': 299}, {'facility': 'F2', 'customer': 'B', 'cost': 710}, {'facility': 'F2', 'customer': 'C', 'cost': 423}, {'facility': 'F2', 'customer': 'D', 'cost': 447}, {'facility': 'F2', 'customer': 'E', 'cost': 310}, {'facility': 'F2', 'customer': 'F', 'cost': 534}, {'facility': 'F2', 'customer': 'G', 'cost': 4}, {'facility': 'F2', 'customer': 'H', 'cost': 457}, {'facility': 'F2', 'customer': 'I', 'cost': 132}, {'facility': 'F2', 'customer': 'J', 'cost': 147}, {'facility': 'F2', 'customer': 'K', 'cost': 236}, {'facility': 'F2', 'customer': 'L', 'cost': 440}, {'facility': 'F2', 'customer': 'M', 'cost': 636}, {'facility': 'F2', 'customer': 'N', 'cost': 674}, {'facility': 'F2', 'customer': 'O', 'cost': 494}, {'facility': 'F2', 'customer': 'P', 'cost': 181}, {'facility': 'F2', 'customer': 'Q', 'cost': 668}, {'facility': 'F2', 'customer': 'R', 'cost': 127}, {'facility': 'F2', 'customer': 'S', 'cost': 477}, {'facility': 'F3', 'customer': 'A', 'cost': 433}, {'facility': 'F3', 'customer': 'B', 'cost': 557}, {'facility': 'F3', 'customer': 'C', 'cost': 292}, {'facility': 'F3', 'customer': 'D', 'cost': 903}, {'facility': 'F3', 'customer': 'E', 'cost': 283}, {'facility': 'F3', 'customer': 'F', 'cost': 598}, {'facility': 'F3', 'customer': 'G', 'cost': 916}, {'facility': 'F3', 'customer': 'H', 'cost': 67}, {'facility': 'F3', 'customer': 'I', 'cost': 626}, {'facility': 'F3', 'customer': 'J', 'cost': 562}, {'facility': 'F3', 'customer': 'K', 'cost': 113}, {'facility': 'F3', 'customer': 'L', 'cost': 595}, {'facility': 'F3', 'customer': 'M', 'cost': 199}, {'facility': 'F3', 'customer': 'N', 'cost': 43}, {'facility': 'F3', 'customer': 'O', 'cost': 315}, {'facility': 'F3', 'customer': 'P', 'cost': 740}, {'facility': 'F3', 'customer': 'Q', 'cost': 941}, {'facility': 'F3', 'customer': 'R', 'cost': 718}, {'facility': 'F3', 'customer': 'S', 'cost': 160}, {'facility': 'F4', 'customer': 'A', 'cost': 661}, {'facility': 'F4', 'customer': 'B', 'cost': 313}, {'facility': 'F4', 'customer': 'C', 'cost': 919}, {'facility': 'F4', 'customer': 'D', 'cost': 260}, {'facility': 'F4', 'customer': 'E', 'cost': 752}, {'facility': 'F4', 'customer': 'F', 'cost': 458}, {'facility': 'F4', 'customer': 'G', 'cost': 585}, {'facility': 'F4', 'customer': 'H', 'cost': 834}, {'facility': 'F4', 'customer': 'I', 'cost': 777}, {'facility': 'F4', 'customer': 'J', 'cost': 666}, {'facility': 'F4', 'customer': 'K', 'cost': 699}, {'facility': 'F4', 'customer': 'L', 'cost': 264}, {'facility': 'F4', 'customer': 'M', 'cost': 185}, {'facility': 'F4', 'customer': 'N', 'cost': 537}, {'facility': 'F4', 'customer': 'O', 'cost': 834}, {'facility': 'F4', 'customer': 'P', 'cost': 695}, {'facility': 'F4', 'customer': 'Q', 'cost': 38}, {'facility': 'F4', 'customer': 'R', 'cost': 972}, {'facility': 'F4', 'customer': 'S', 'cost': 734}, {'facility': 'F5', 'customer': 'A', 'cost': 719}, {'facility': 'F5', 'customer': 'B', 'cost': 987}, {'facility': 'F5', 'customer': 'C', 'cost': 19}, {'facility': 'F5', 'customer': 'D', 'cost': 270}, {'facility': 'F5', 'customer': 'E', 'cost': 115}, {'facility': 'F5', 'customer': 'F', 'cost': 167}, {'facility': 'F5', 'customer': 'G', 'cost': 728}, {'facility': 'F5', 'customer': 'H', 'cost': 323}, {'facility': 'F5', 'customer': 'I', 'cost': 351}, {'facility': 'F5', 'customer': 'J', 'cost': 585}, {'facility': 'F5', 'customer': 'K', 'cost': 700}, {'facility': 'F5', 'customer': 'L', 'cost': 763}, {'facility': 'F5', 'customer': 'M', 'cost': 510}, {'facility': 'F5', 'customer': 'N', 'cost': 662}, {'facility': 'F5', 'customer': 'O', 'cost': 578}, {'facility': 'F5', 'customer': 'P', 'cost': 149}, {'facility': 'F5', 'customer': 'Q', 'cost': 900}, {'facility': 'F5', 'customer': 'R', 'cost': 975}, {'facility': 'F5', 'customer': 'S', 'cost': 94}, {'facility': 'F6', 'customer': 'A', 'cost': 58}, {'facility': 'F6', 'customer': 'B', 'cost': 959}, {'facility': 'F6', 'customer': 'C', 'cost': 250}, {'facility': 'F6', 'customer': 'D', 'cost': 845}, {'facility': 'F6', 'customer': 'E', 'cost': 727}, {'facility': 'F6', 'customer': 'F', 'cost': 422}, {'facility': 'F6', 'customer': 'G', 'cost': 115}, {'facility': 'F6', 'customer': 'H', 'cost': 924}, {'facility': 'F6', 'customer': 'I', 'cost': 851}, {'facility': 'F6', 'customer': 'J', 'cost': 32}, {'facility': 'F6', 'customer': 'K', 'cost': 528}, {'facility': 'F6', 'customer': 'L', 'cost': 746}, {'facility': 'F6', 'customer': 'M', 'cost': 113}, {'facility': 'F6', 'customer': 'N', 'cost': 281}, {'facility': 'F6', 'customer': 'O', 'cost': 924}, {'facility': 'F6', 'customer': 'P', 'cost': 617}, {'facility': 'F6', 'customer': 'Q', 'cost': 712}, {'facility': 'F6', 'customer': 'R', 'cost': 602}, {'facility': 'F6', 'customer': 'S', 'cost': 621}, {'facility': 'F7', 'customer': 'A', 'cost': 840}, {'facility': 'F7', 'customer': 'B', 'cost': 38}, {'facility': 'F7', 'customer': 'C', 'cost': 17}, {'facility': 'F7', 'customer': 'D', 'cost': 531}, {'facility': 'F7', 'customer': 'E', 'cost': 483}, {'facility': 'F7', 'customer': 'F', 'cost': 882}, {'facility': 'F7', 'customer': 'G', 'cost': 240}, {'facility': 'F7', 'customer': 'H', 'cost': 140}, {'facility': 'F7', 'customer': 'I', 'cost': 345}, {'facility': 'F7', 'customer': 'J', 'cost': 86}, {'facility': 'F7', 'customer': 'K', 'cost': 452}, {'facility': 'F7', 'customer': 'L', 'cost': 530}, {'facility': 'F7', 'customer': 'M', 'cost': 785}, {'facility': 'F7', 'customer': 'N', 'cost': 306}, {'facility': 'F7', 'customer': 'O', 'cost': 256}, {'facility': 'F7', 'customer': 'P', 'cost': 416}, {'facility': 'F7', 'customer': 'Q', 'cost': 125}, {'facility': 'F7', 'customer': 'R', 'cost': 747}, {'facility': 'F7', 'customer': 'S', 'cost': 402}, {'facility': 'F8', 'customer': 'A', 'cost': 630}, {'facility': 'F8', 'customer': 'B', 'cost': 480}, {'facility': 'F8', 'customer': 'C', 'cost': 886}, {'facility': 'F8', 'customer': 'D', 'cost': 914}, {'facility': 'F8', 'customer': 'E', 'cost': 435}, {'facility': 'F8', 'customer': 'F', 'cost': 797}, {'facility': 'F8', 'customer': 'G', 'cost': 100}, {'facility': 'F8', 'customer': 'H', 'cost': 61}, {'facility': 'F8', 'customer': 'I', 'cost': 805}, {'facility': 'F8', 'customer': 'J', 'cost': 261}, {'facility': 'F8', 'customer': 'K', 'cost': 19}, {'facility': 'F8', 'customer': 'L', 'cost': 828}, {'facility': 'F8', 'customer': 'M', 'cost': 392}, {'facility': 'F8', 'customer': 'N', 'cost': 439}, {'facility': 'F8', 'customer': 'O', 'cost': 343}, {'facility': 'F8', 'customer': 'P', 'cost': 134}, {'facility': 'F8', 'customer': 'Q', 'cost': 729}, {'facility': 'F8', 'customer': 'R', 'cost': 72}, {'facility': 'F8', 'customer': 'S', 'cost': 44}], 'objective': 8716.0}","{'selected': ['F2', 'F7'], 'assignments': ['F2', 'F7', 'F7', 'F2', 'F2', 'F2', 'F2', 'F7', 'F2', 'F7', 'F2', 'F2', 'F2', 'F7', 'F7', 'F2', 'F7', 'F2', 'F7']}",5,csv,names
UFLP,UFLP,"Back when the shop was deciding routes for the month, the owner had to choose which mobile grooming vans to deploy and who would service each client. The constraint was clear: each appointment must be covered by exactly one van that was actually sent out — no appointment left out, no appointment served twice, and no assigning to vans that weren’t deployed. A smarter schedule is simply the cheaper one overall: add together the deployment charges for the vans chosen and the travel costs for every appointment, and keep that combined amount as low as possible. The detailed van information and appointments are shown below.

{
  ""num_candidate_vans"": 6,
  ""num_appointments"": 15,
  ""vans"": [
    {
      ""van_id"": ""F1"",
      ""deployment_cost"": 1337
    },
    {
      ""van_id"": ""F2"",
      ""deployment_cost"": 1702
    },
    {
      ""van_id"": ""F3"",
      ""deployment_cost"": 1696
    },
    {
      ""van_id"": ""F4"",
      ""deployment_cost"": 1831
    },
    {
      ""van_id"": ""F5"",
      ""deployment_cost"": 1241
    },
    {
      ""van_id"": ""F6"",
      ""deployment_cost"": 1139
    }
  ],
  ""appointments"": [
    {
      ""appointment_id"": ""A""
    },
    {
      ""appointment_id"": ""B""
    },
    {
      ""appointment_id"": ""C""
    },
    {
      ""appointment_id"": ""D""
    },
    {
      ""appointment_id"": ""E""
    },
    {
      ""appointment_id"": ""F""
    },
    {
      ""appointment_id"": ""G""
    },
    {
      ""appointment_id"": ""H""
    },
    {
      ""appointment_id"": ""I""
    },
    {
      ""appointment_id"": ""J""
    },
    {
      ""appointment_id"": ""K""
    },
    {
      ""appointment_id"": ""L""
    },
    {
      ""appointment_id"": ""M""
    },
    {
      ""appointment_id"": ""N""
    },
    {
      ""appointment_id"": ""O""
    }
  ],
  ""travels"": [
    {
      ""van_id"": ""F1"",
      ""appointment_id"": ""A"",
      ""travel_cost"": 813
    },
    {
      ""van_id"": ""F1"",
      ""appointment_id"": ""B"",
      ""travel_cost"": 990
    },
    {
      ""van_id"": ""F1"",
      ""appointment_id"": ""C"",
      ""travel_cost"": 511
    },
    {
      ""van_id"": ""F1"",
      ""appointment_id"": ""D"",
      ""travel_cost"": 29
    },
    {
      ""van_id"": ""F1"",
      ""appointment_id"": ""E"",
      ""travel_cost"": 978
    },
    {
      ""van_id"": ""F1"",
      ""appointment_id"": ""F"",
      ""travel_cost"": 938
    },
    {
      ""van_id"": ""F1"",
      ""appointment_id"": ""G"",
      ""travel_cost"": 213
    },
    {
      ""van_id"": ""F1"",
      ""appointment_id"": ""H"",
      ""travel_cost"": 286
    },
    {
      ""van_id"": ""F1"",
      ""appointment_id"": ""I"",
      ""travel_cost"": 331
    },
    {
      ""van_id"": ""F1"",
      ""appointment_id"": ""J"",
      ""travel_cost"": 992
    },
    {
      ""van_id"": ""F1"",
      ""appointment_id"": ""K"",
      ""travel_cost"": 847
    },
    {
      ""van_id"": ""F1"",
      ""appointment_id"": ""L"",
      ""travel_cost"": 206
    },
    {
      ""van_id"": ""F1"",
      ""appointment_id"": ""M"",
      ""travel_cost"": 424
    },
    {
      ""van_id"": ""F1"",
      ""appointment_id"": ""N"",
      ""travel_cost"": 653
    },
    {
      ""van_id"": ""F1"",
      ""appointment_id"": ""O"",
      ""travel_cost"": 830
    },
    {
      ""van_id"": ""F2"",
      ""appointment_id"": ""A"",
      ""travel_cost"": 988
    },
    {
      ""van_id"": ""F2"",
      ""appointment_id"": ""B"",
      ""travel_cost"": 182
    },
    {
      ""van_id"": ""F2"",
      ""appointment_id"": ""C"",
      ""travel_cost"": 301
    },
    {
      ""van_id"": ""F2"",
      ""appointment_id"": ""D"",
      ""travel_cost"": 948
    },
    {
      ""van_id"": ""F2"",
      ""appointment_id"": ""E"",
      ""travel_cost"": 688
    },
    {
      ""van_id"": ""F2"",
      ""appointment_id"": ""F"",
      ""travel_cost"": 952
    },
    {
      ""van_id"": ""F2"",
      ""appointment_id"": ""G"",
      ""travel_cost"": 495
    },
    {
      ""van_id"": ""F2"",
      ""appointment_id"": ""H"",
      ""travel_cost"": 783
    },
    {
      ""van_id"": ""F2"",
      ""appointment_id"": ""I"",
      ""travel_cost"": 223
    },
    {
      ""van_id"": ""F2"",
      ""appointment_id"": ""J"",
      ""travel_cost"": 603
    },
    {
      ""van_id"": ""F2"",
      ""appointment_id"": ""K"",
      ""travel_cost"": 812
    },
    {
      ""van_id"": ""F2"",
      ""appointment_id"": ""L"",
      ""travel_cost"": 44
    },
    {
      ""van_id"": ""F2"",
      ""appointment_id"": ""M"",
      ""travel_cost"": 263
    },
    {
      ""van_id"": ""F2"",
      ""appointment_id"": ""N"",
      ""travel_cost"": 291
    },
    {
      ""van_id"": ""F2"",
      ""appointment_id"": ""O"",
      ""travel_cost"": 66
    },
    {
      ""van_id"": ""F3"",
      ""appointment_id"": ""A"",
      ""travel_cost"": 490
    },
    {
      ""van_id"": ""F3"",
      ""appointment_id"": ""B"",
      ""travel_cost"": 116
    },
    {
      ""van_id"": ""F3"",
      ""appointment_id"": ""C"",
      ""travel_cost"": 75
    },
    {
      ""van_id"": ""F3"",
      ""appointment_id"": ""D"",
      ""travel_cost"": 247
    },
    {
      ""van_id"": ""F3"",
      ""appointment_id"": ""E"",
      ""travel_cost"": 516
    },
    {
      ""van_id"": ""F3"",
      ""appointment_id"": ""F"",
      ""travel_cost"": 141
    },
    {
      ""van_id"": ""F3"",
      ""appointment_id"": ""G"",
      ""travel_cost"": 122
    },
    {
      ""van_id"": ""F3"",
      ""appointment_id"": ""H"",
      ""travel_cost"": 167
    },
    {
      ""van_id"": ""F3"",
      ""appointment_id"": ""I"",
      ""travel_cost"": 169
    },
    {
      ""van_id"": ""F3"",
      ""appointment_id"": ""J"",
      ""travel_cost"": 554
    },
    {
      ""van_id"": ""F3"",
      ""appointment_id"": ""K"",
      ""travel_cost"": 911
    },
    {
      ""van_id"": ""F3"",
      ""appointment_id"": ""L"",
      ""travel_cost"": 247
    },
    {
      ""van_id"": ""F3"",
      ""appointment_id"": ""M"",
      ""travel_cost"": 973
    },
    {
      ""van_id"": ""F3"",
      ""appointment_id"": ""N"",
      ""travel_cost"": 296
    },
    {
      ""van_id"": ""F3"",
      ""appointment_id"": ""O"",
      ""travel_cost"": 276
    },
    {
      ""van_id"": ""F4"",
      ""appointment_id"": ""A"",
      ""travel_cost"": 150
    },
    {
      ""van_id"": ""F4"",
      ""appointment_id"": ""B"",
      ""travel_cost"": 481
    },
    {
      ""van_id"": ""F4"",
      ""appointment_id"": ""C"",
      ""travel_cost"": 762
    },
    {
      ""van_id"": ""F4"",
      ""appointment_id"": ""D"",
      ""travel_cost"": 455
    },
    {
      ""van_id"": ""F4"",
      ""appointment_id"": ""E"",
      ""travel_cost"": 170
    },
    {
      ""van_id"": ""F4"",
      ""appointment_id"": ""F"",
      ""travel_cost"": 96
    },
    {
      ""van_id"": ""F4"",
      ""appointment_id"": ""G"",
      ""travel_cost"": 897
    },
    {
      ""van_id"": ""F4"",
      ""appointment_id"": ""H"",
      ""travel_cost"": 510
    },
    {
      ""van_id"": ""F4"",
      ""appointment_id"": ""I"",
      ""travel_cost"": 278
    },
    {
      ""van_id"": ""F4"",
      ""appointment_id"": ""J"",
      ""travel_cost"": 845
    },
    {
      ""van_id"": ""F4"",
      ""appointment_id"": ""K"",
      ""travel_cost"": 785
    },
    {
      ""van_id"": ""F4"",
      ""appointment_id"": ""L"",
      ""travel_cost"": 787
    },
    {
      ""van_id"": ""F4"",
      ""appointment_id"": ""M"",
      ""travel_cost"": 201
    },
    {
      ""van_id"": ""F4"",
      ""appointment_id"": ""N"",
      ""travel_cost"": 937
    },
    {
      ""van_id"": ""F4"",
      ""appointment_id"": ""O"",
      ""travel_cost"": 756
    },
    {
      ""van_id"": ""F5"",
      ""appointment_id"": ""A"",
      ""travel_cost"": 697
    },
    {
      ""van_id"": ""F5"",
      ""appointment_id"": ""B"",
      ""travel_cost"": 770
    },
    {
      ""van_id"": ""F5"",
      ""appointment_id"": ""C"",
      ""travel_cost"": 346
    },
    {
      ""van_id"": ""F5"",
      ""appointment_id"": ""D"",
      ""travel_cost"": 37
    },
    {
      ""van_id"": ""F5"",
      ""appointment_id"": ""E"",
      ""travel_cost"": 666
    },
    {
      ""van_id"": ""F5"",
      ""appointment_id"": ""F"",
      ""travel_cost"": 706
    },
    {
      ""van_id"": ""F5"",
      ""appointment_id"": ""G"",
      ""travel_cost"": 195
    },
    {
      ""van_id"": ""F5"",
      ""appointment_id"": ""H"",
      ""travel_cost"": 547
    },
    {
      ""van_id"": ""F5"",
      ""appointment_id"": ""I"",
      ""travel_cost"": 886
    },
    {
      ""van_id"": ""F5"",
      ""appointment_id"": ""J"",
      ""travel_cost"": 472
    },
    {
      ""van_id"": ""F5"",
      ""appointment_id"": ""K"",
      ""travel_cost"": 869
    },
    {
      ""van_id"": ""F5"",
      ""appointment_id"": ""L"",
      ""travel_cost"": 956
    },
    {
      ""van_id"": ""F5"",
      ""appointment_id"": ""M"",
      ""travel_cost"": 389
    },
    {
      ""van_id"": ""F5"",
      ""appointment_id"": ""N"",
      ""travel_cost"": 763
    },
    {
      ""van_id"": ""F5"",
      ""appointment_id"": ""O"",
      ""travel_cost"": 258
    },
    {
      ""van_id"": ""F6"",
      ""appointment_id"": ""A"",
      ""travel_cost"": 930
    },
    {
      ""van_id"": ""F6"",
      ""appointment_id"": ""B"",
      ""travel_cost"": 952
    },
    {
      ""van_id"": ""F6"",
      ""appointment_id"": ""C"",
      ""travel_cost"": 241
    },
    {
      ""van_id"": ""F6"",
      ""appointment_id"": ""D"",
      ""travel_cost"": 557
    },
    {
      ""van_id"": ""F6"",
      ""appointment_id"": ""E"",
      ""travel_cost"": 734
    },
    {
      ""van_id"": ""F6"",
      ""appointment_id"": ""F"",
      ""travel_cost"": 760
    },
    {
      ""van_id"": ""F6"",
      ""appointment_id"": ""G"",
      ""travel_cost"": 18
    },
    {
      ""van_id"": ""F6"",
      ""appointment_id"": ""H"",
      ""travel_cost"": 524
    },
    {
      ""van_id"": ""F6"",
      ""appointment_id"": ""I"",
      ""travel_cost"": 352
    },
    {
      ""van_id"": ""F6"",
      ""appointment_id"": ""J"",
      ""travel_cost"": 863
    },
    {
      ""van_id"": ""F6"",
      ""appointment_id"": ""K"",
      ""travel_cost"": 392
    },
    {
      ""van_id"": ""F6"",
      ""appointment_id"": ""L"",
      ""travel_cost"": 262
    },
    {
      ""van_id"": ""F6"",
      ""appointment_id"": ""M"",
      ""travel_cost"": 804
    },
    {
      ""van_id"": ""F6"",
      ""appointment_id"": ""N"",
      ""travel_cost"": 942
    },
    {
      ""van_id"": ""F6"",
      ""appointment_id"": ""O"",
      ""travel_cost"": 461
    }
  ]
}

If you want to tell me which vans you actually sent and who each client got, please use this simple JSON layout so it's easy to read and check:

{
  ""solution"": {
    ""selected"": [<van_to_deploy>, <van_to_deploy>, ...],
    ""assignments"": [<van_assigned_to_customer>, <van_assigned_to_customer>, ...]
  }
}

Pretty straightforward: ""selected"" is the list of vans you decide to send out, and ""assignments"" lists, in the same order as the appointments in the instance, which van handles each appointment. Think of it like filling out a form — pick the vans you deploy, then next to each client write the van that will serve them.

This JSON is just the expected shape — a sketch — not the actual solution.

Important: all identifiers must be used exactly as they appear in the instance input — no renaming and no new labels.
For example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'opening_costs': [1337, 1702, 1696, 1831, 1241, 1139], 'connection_costs': [[813, 990, 511, 29, 978, 938, 213, 286, 331, 992, 847, 206, 424, 653, 830], [988, 182, 301, 948, 688, 952, 495, 783, 223, 603, 812, 44, 263, 291, 66], [490, 116, 75, 247, 516, 141, 122, 167, 169, 554, 911, 247, 973, 296, 276], [150, 481, 762, 455, 170, 96, 897, 510, 278, 845, 785, 787, 201, 937, 756], [697, 770, 346, 37, 666, 706, 195, 547, 886, 472, 869, 956, 389, 763, 258], [930, 952, 241, 557, 734, 760, 18, 524, 352, 863, 392, 262, 804, 942, 461]], 'objective': 6996.0}","{'open_facilities': [2], 'assignments': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]}",6996.0,"{'problem_type': 'UFLP', 'num_facilities': 6, 'num_customers': 15, 'facilities': [{'id': 'F1', 'opening_cost': 1337}, {'id': 'F2', 'opening_cost': 1702}, {'id': 'F3', 'opening_cost': 1696}, {'id': 'F4', 'opening_cost': 1831}, {'id': 'F5', 'opening_cost': 1241}, {'id': 'F6', 'opening_cost': 1139}], 'customers': [{'id': 'A'}, {'id': 'B'}, {'id': 'C'}, {'id': 'D'}, {'id': 'E'}, {'id': 'F'}, {'id': 'G'}, {'id': 'H'}, {'id': 'I'}, {'id': 'J'}, {'id': 'K'}, {'id': 'L'}, {'id': 'M'}, {'id': 'N'}, {'id': 'O'}], 'connection_costs': [{'facility': 'F1', 'customer': 'A', 'cost': 813}, {'facility': 'F1', 'customer': 'B', 'cost': 990}, {'facility': 'F1', 'customer': 'C', 'cost': 511}, {'facility': 'F1', 'customer': 'D', 'cost': 29}, {'facility': 'F1', 'customer': 'E', 'cost': 978}, {'facility': 'F1', 'customer': 'F', 'cost': 938}, {'facility': 'F1', 'customer': 'G', 'cost': 213}, {'facility': 'F1', 'customer': 'H', 'cost': 286}, {'facility': 'F1', 'customer': 'I', 'cost': 331}, {'facility': 'F1', 'customer': 'J', 'cost': 992}, {'facility': 'F1', 'customer': 'K', 'cost': 847}, {'facility': 'F1', 'customer': 'L', 'cost': 206}, {'facility': 'F1', 'customer': 'M', 'cost': 424}, {'facility': 'F1', 'customer': 'N', 'cost': 653}, {'facility': 'F1', 'customer': 'O', 'cost': 830}, {'facility': 'F2', 'customer': 'A', 'cost': 988}, {'facility': 'F2', 'customer': 'B', 'cost': 182}, {'facility': 'F2', 'customer': 'C', 'cost': 301}, {'facility': 'F2', 'customer': 'D', 'cost': 948}, {'facility': 'F2', 'customer': 'E', 'cost': 688}, {'facility': 'F2', 'customer': 'F', 'cost': 952}, {'facility': 'F2', 'customer': 'G', 'cost': 495}, {'facility': 'F2', 'customer': 'H', 'cost': 783}, {'facility': 'F2', 'customer': 'I', 'cost': 223}, {'facility': 'F2', 'customer': 'J', 'cost': 603}, {'facility': 'F2', 'customer': 'K', 'cost': 812}, {'facility': 'F2', 'customer': 'L', 'cost': 44}, {'facility': 'F2', 'customer': 'M', 'cost': 263}, {'facility': 'F2', 'customer': 'N', 'cost': 291}, {'facility': 'F2', 'customer': 'O', 'cost': 66}, {'facility': 'F3', 'customer': 'A', 'cost': 490}, {'facility': 'F3', 'customer': 'B', 'cost': 116}, {'facility': 'F3', 'customer': 'C', 'cost': 75}, {'facility': 'F3', 'customer': 'D', 'cost': 247}, {'facility': 'F3', 'customer': 'E', 'cost': 516}, {'facility': 'F3', 'customer': 'F', 'cost': 141}, {'facility': 'F3', 'customer': 'G', 'cost': 122}, {'facility': 'F3', 'customer': 'H', 'cost': 167}, {'facility': 'F3', 'customer': 'I', 'cost': 169}, {'facility': 'F3', 'customer': 'J', 'cost': 554}, {'facility': 'F3', 'customer': 'K', 'cost': 911}, {'facility': 'F3', 'customer': 'L', 'cost': 247}, {'facility': 'F3', 'customer': 'M', 'cost': 973}, {'facility': 'F3', 'customer': 'N', 'cost': 296}, {'facility': 'F3', 'customer': 'O', 'cost': 276}, {'facility': 'F4', 'customer': 'A', 'cost': 150}, {'facility': 'F4', 'customer': 'B', 'cost': 481}, {'facility': 'F4', 'customer': 'C', 'cost': 762}, {'facility': 'F4', 'customer': 'D', 'cost': 455}, {'facility': 'F4', 'customer': 'E', 'cost': 170}, {'facility': 'F4', 'customer': 'F', 'cost': 96}, {'facility': 'F4', 'customer': 'G', 'cost': 897}, {'facility': 'F4', 'customer': 'H', 'cost': 510}, {'facility': 'F4', 'customer': 'I', 'cost': 278}, {'facility': 'F4', 'customer': 'J', 'cost': 845}, {'facility': 'F4', 'customer': 'K', 'cost': 785}, {'facility': 'F4', 'customer': 'L', 'cost': 787}, {'facility': 'F4', 'customer': 'M', 'cost': 201}, {'facility': 'F4', 'customer': 'N', 'cost': 937}, {'facility': 'F4', 'customer': 'O', 'cost': 756}, {'facility': 'F5', 'customer': 'A', 'cost': 697}, {'facility': 'F5', 'customer': 'B', 'cost': 770}, {'facility': 'F5', 'customer': 'C', 'cost': 346}, {'facility': 'F5', 'customer': 'D', 'cost': 37}, {'facility': 'F5', 'customer': 'E', 'cost': 666}, {'facility': 'F5', 'customer': 'F', 'cost': 706}, {'facility': 'F5', 'customer': 'G', 'cost': 195}, {'facility': 'F5', 'customer': 'H', 'cost': 547}, {'facility': 'F5', 'customer': 'I', 'cost': 886}, {'facility': 'F5', 'customer': 'J', 'cost': 472}, {'facility': 'F5', 'customer': 'K', 'cost': 869}, {'facility': 'F5', 'customer': 'L', 'cost': 956}, {'facility': 'F5', 'customer': 'M', 'cost': 389}, {'facility': 'F5', 'customer': 'N', 'cost': 763}, {'facility': 'F5', 'customer': 'O', 'cost': 258}, {'facility': 'F6', 'customer': 'A', 'cost': 930}, {'facility': 'F6', 'customer': 'B', 'cost': 952}, {'facility': 'F6', 'customer': 'C', 'cost': 241}, {'facility': 'F6', 'customer': 'D', 'cost': 557}, {'facility': 'F6', 'customer': 'E', 'cost': 734}, {'facility': 'F6', 'customer': 'F', 'cost': 760}, {'facility': 'F6', 'customer': 'G', 'cost': 18}, {'facility': 'F6', 'customer': 'H', 'cost': 524}, {'facility': 'F6', 'customer': 'I', 'cost': 352}, {'facility': 'F6', 'customer': 'J', 'cost': 863}, {'facility': 'F6', 'customer': 'K', 'cost': 392}, {'facility': 'F6', 'customer': 'L', 'cost': 262}, {'facility': 'F6', 'customer': 'M', 'cost': 804}, {'facility': 'F6', 'customer': 'N', 'cost': 942}, {'facility': 'F6', 'customer': 'O', 'cost': 461}], 'objective': 6996.0}","{'selected': ['F3'], 'assignments': ['F3', 'F3', 'F3', 'F3', 'F3', 'F3', 'F3', 'F3', 'F3', 'F3', 'F3', 'F3', 'F3', 'F3', 'F3']}",6,json,names
UFLP,UFLP,"Many people on the planning team are working through a straightforward trade-off: open more pickup hubs (which costs money) or have customers travel farther (which raises travel bills). The task is to choose which hubs to open and register each customer to a single opened hub so that when you add together the hub opening charges and all customer travel costs the total is as small as it can be. Every customer must be assigned to exactly one hub that’s been opened, and customers can’t use hubs that remain closed. The specific options and numbers are shown below.

There are 9 hubs and 18 customers in this instance.

**Hubs**
| hub_id | hub_opening_fee |
|---|---|
| F1 | 1000 |
| F2 | 1000 |
| F3 | 1000 |
| F4 | 1000 |
| F5 | 1000 |
| F6 | 1000 |
| F7 | 1000 |
| F8 | 1000 |
| F9 | 1000 |

**Customers**
| customer_id |
|---|
| 0 |
| 1 |
| 2 |
| 3 |
| 4 |
| 5 |
| 6 |
| 7 |
| 8 |
| 9 |
| 10 |
| 11 |
| 12 |
| 13 |
| 14 |
| 15 |
| 16 |
| 17 |

**Travel Cost To Hub**
| hub_id | customer_id | travel_cost_to_hub |
|---|---|---|
| F1 | 0 | 808 |
| F1 | 1 | 355 |
| F1 | 2 | 311 |
| F1 | 3 | 248 |
| F1 | 4 | 923 |
| F1 | 5 | 597 |
| F1 | 6 | 258 |
| F1 | 7 | 910 |
| F1 | 8 | 736 |
| F1 | 9 | 954 |
| F1 | 10 | 65 |
| F1 | 11 | 43 |
| F1 | 12 | 769 |
| F1 | 13 | 796 |
| F1 | 14 | 642 |
| F1 | 15 | 390 |
| F1 | 16 | 22 |
| F1 | 17 | 139 |
| F2 | 0 | 10 |
| F2 | 1 | 289 |
| F2 | 2 | 337 |
| F2 | 3 | 886 |
| F2 | 4 | 551 |
| F2 | 5 | 409 |
| F2 | 6 | 161 |
| F2 | 7 | 376 |
| F2 | 8 | 785 |
| F2 | 9 | 545 |
| F2 | 10 | 182 |
| F2 | 11 | 724 |
| F2 | 12 | 156 |
| F2 | 13 | 417 |
| F2 | 14 | 652 |
| F2 | 15 | 737 |
| F2 | 16 | 129 |
| F2 | 17 | 804 |
| F3 | 0 | 503 |
| F3 | 1 | 706 |
| F3 | 2 | 307 |
| F3 | 3 | 160 |
| F3 | 4 | 567 |
| F3 | 5 | 281 |
| F3 | 6 | 247 |
| F3 | 7 | 201 |
| F3 | 8 | 216 |
| F3 | 9 | 40 |
| F3 | 10 | 263 |
| F3 | 11 | 216 |
| F3 | 12 | 635 |
| F3 | 13 | 910 |
| F3 | 14 | 78 |
| F3 | 15 | 119 |
| F3 | 16 | 950 |
| F3 | 17 | 474 |
| F4 | 0 | 79 |
| F4 | 1 | 811 |
| F4 | 2 | 318 |
| F4 | 3 | 144 |
| F4 | 4 | 7 |
| F4 | 5 | 998 |
| F4 | 6 | 437 |
| F4 | 7 | 147 |
| F4 | 8 | 556 |
| F4 | 9 | 409 |
| F4 | 10 | 137 |
| F4 | 11 | 390 |
| F4 | 12 | 80 |
| F4 | 13 | 365 |
| F4 | 14 | 846 |
| F4 | 15 | 324 |
| F4 | 16 | 781 |
| F4 | 17 | 21 |
| F5 | 0 | 284 |
| F5 | 1 | 440 |
| F5 | 2 | 763 |
| F5 | 3 | 988 |
| F5 | 4 | 549 |
| F5 | 5 | 686 |
| F5 | 6 | 316 |
| F5 | 7 | 35 |
| F5 | 8 | 512 |
| F5 | 9 | 71 |
| F5 | 10 | 827 |
| F5 | 11 | 143 |
| F5 | 12 | 543 |
| F5 | 13 | 359 |
| F5 | 14 | 899 |
| F5 | 15 | 313 |
| F5 | 16 | 647 |
| F5 | 17 | 927 |
| F6 | 0 | 41 |
| F6 | 1 | 419 |
| F6 | 2 | 651 |
| F6 | 3 | 921 |
| F6 | 4 | 931 |
| F6 | 5 | 846 |
| F6 | 6 | 769 |
| F6 | 7 | 724 |
| F6 | 8 | 401 |
| F6 | 9 | 738 |
| F6 | 10 | 118 |
| F6 | 11 | 173 |
| F6 | 12 | 275 |
| F6 | 13 | 702 |
| F6 | 14 | 395 |
| F6 | 15 | 993 |
| F6 | 16 | 889 |
| F6 | 17 | 816 |
| F7 | 0 | 198 |
| F7 | 1 | 938 |
| F7 | 2 | 108 |
| F7 | 3 | 922 |
| F7 | 4 | 834 |
| F7 | 5 | 606 |
| F7 | 6 | 89 |
| F7 | 7 | 106 |
| F7 | 8 | 158 |
| F7 | 9 | 756 |
| F7 | 10 | 419 |
| F7 | 11 | 206 |
| F7 | 12 | 857 |
| F7 | 13 | 895 |
| F7 | 14 | 9 |
| F7 | 15 | 740 |
| F7 | 16 | 323 |
| F7 | 17 | 449 |
| F8 | 0 | 166 |
| F8 | 1 | 15 |
| F8 | 2 | 879 |
| F8 | 3 | 927 |
| F8 | 4 | 695 |
| F8 | 5 | 519 |
| F8 | 6 | 331 |
| F8 | 7 | 184 |
| F8 | 8 | 695 |
| F8 | 9 | 352 |
| F8 | 10 | 721 |
| F8 | 11 | 131 |
| F8 | 12 | 78 |
| F8 | 13 | 900 |
| F8 | 14 | 199 |
| F8 | 15 | 976 |
| F8 | 16 | 286 |
| F8 | 17 | 3 |
| F9 | 0 | 356 |
| F9 | 1 | 414 |
| F9 | 2 | 430 |
| F9 | 3 | 756 |
| F9 | 4 | 320 |
| F9 | 5 | 900 |
| F9 | 6 | 919 |
| F9 | 7 | 309 |
| F9 | 8 | 633 |
| F9 | 9 | 197 |
| F9 | 10 | 599 |
| F9 | 11 | 689 |
| F9 | 12 | 579 |
| F9 | 13 | 174 |
| F9 | 14 | 765 |
| F9 | 15 | 315 |
| F9 | 16 | 172 |
| F9 | 17 | 404 |

Just so we're on the same page about how I want the answer formatted, please use this simple JSON shape when you send the solution — it makes it easy to read and plug into the rest of the workflow.

{
  ""solution"": {
    ""selected"": [<hub_to_open>, <hub_to_open>, ...],
    ""assignments"": [<chosen_open_hub>, <chosen_open_hub>, ...]
  }
}

Think of it like a little form: ""selected"" is the list of hubs you choose to open, and ""assignments"" is the list that says, for each customer (in the same order as the input), which opened hub they will use. This is just the shape I expect — fill in the actual identifiers from the instance when you produce the final answer.

Please use the exact identifiers from the instance input — don't rename them or invent new labels. 
- for example: Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'opening_costs': [1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000], 'connection_costs': [[808, 355, 311, 248, 923, 597, 258, 910, 736, 954, 65, 43, 769, 796, 642, 390, 22, 139], [10, 289, 337, 886, 551, 409, 161, 376, 785, 545, 182, 724, 156, 417, 652, 737, 129, 804], [503, 706, 307, 160, 567, 281, 247, 201, 216, 40, 263, 216, 635, 910, 78, 119, 950, 474], [79, 811, 318, 144, 7, 998, 437, 147, 556, 409, 137, 390, 80, 365, 846, 324, 781, 21], [284, 440, 763, 988, 549, 686, 316, 35, 512, 71, 827, 143, 543, 359, 899, 313, 647, 927], [41, 419, 651, 921, 931, 846, 769, 724, 401, 738, 118, 173, 275, 702, 395, 993, 889, 816], [198, 938, 108, 922, 834, 606, 89, 106, 158, 756, 419, 206, 857, 895, 9, 740, 323, 449], [166, 15, 879, 927, 695, 519, 331, 184, 695, 352, 721, 131, 78, 900, 199, 976, 286, 3], [356, 414, 430, 756, 320, 900, 919, 309, 633, 197, 599, 689, 579, 174, 765, 315, 172, 404]], 'objective': 5616.0}","{'open_facilities': [0, 2, 3], 'assignments': [3, 0, 2, 3, 3, 2, 2, 3, 2, 2, 0, 0, 3, 3, 2, 2, 0, 3]}",5616.0,"{'problem_type': 'UFLP', 'num_facilities': 9, 'num_customers': 18, 'facilities': [{'id': 'F1', 'opening_cost': 1000}, {'id': 'F2', 'opening_cost': 1000}, {'id': 'F3', 'opening_cost': 1000}, {'id': 'F4', 'opening_cost': 1000}, {'id': 'F5', 'opening_cost': 1000}, {'id': 'F6', 'opening_cost': 1000}, {'id': 'F7', 'opening_cost': 1000}, {'id': 'F8', 'opening_cost': 1000}, {'id': 'F9', 'opening_cost': 1000}], 'customers': [{'id': 0}, {'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}, {'id': 16}, {'id': 17}], 'connection_costs': [{'facility': 'F1', 'customer': 0, 'cost': 808}, {'facility': 'F1', 'customer': 1, 'cost': 355}, {'facility': 'F1', 'customer': 2, 'cost': 311}, {'facility': 'F1', 'customer': 3, 'cost': 248}, {'facility': 'F1', 'customer': 4, 'cost': 923}, {'facility': 'F1', 'customer': 5, 'cost': 597}, {'facility': 'F1', 'customer': 6, 'cost': 258}, {'facility': 'F1', 'customer': 7, 'cost': 910}, {'facility': 'F1', 'customer': 8, 'cost': 736}, {'facility': 'F1', 'customer': 9, 'cost': 954}, {'facility': 'F1', 'customer': 10, 'cost': 65}, {'facility': 'F1', 'customer': 11, 'cost': 43}, {'facility': 'F1', 'customer': 12, 'cost': 769}, {'facility': 'F1', 'customer': 13, 'cost': 796}, {'facility': 'F1', 'customer': 14, 'cost': 642}, {'facility': 'F1', 'customer': 15, 'cost': 390}, {'facility': 'F1', 'customer': 16, 'cost': 22}, {'facility': 'F1', 'customer': 17, 'cost': 139}, {'facility': 'F2', 'customer': 0, 'cost': 10}, {'facility': 'F2', 'customer': 1, 'cost': 289}, {'facility': 'F2', 'customer': 2, 'cost': 337}, {'facility': 'F2', 'customer': 3, 'cost': 886}, {'facility': 'F2', 'customer': 4, 'cost': 551}, {'facility': 'F2', 'customer': 5, 'cost': 409}, {'facility': 'F2', 'customer': 6, 'cost': 161}, {'facility': 'F2', 'customer': 7, 'cost': 376}, {'facility': 'F2', 'customer': 8, 'cost': 785}, {'facility': 'F2', 'customer': 9, 'cost': 545}, {'facility': 'F2', 'customer': 10, 'cost': 182}, {'facility': 'F2', 'customer': 11, 'cost': 724}, {'facility': 'F2', 'customer': 12, 'cost': 156}, {'facility': 'F2', 'customer': 13, 'cost': 417}, {'facility': 'F2', 'customer': 14, 'cost': 652}, {'facility': 'F2', 'customer': 15, 'cost': 737}, {'facility': 'F2', 'customer': 16, 'cost': 129}, {'facility': 'F2', 'customer': 17, 'cost': 804}, {'facility': 'F3', 'customer': 0, 'cost': 503}, {'facility': 'F3', 'customer': 1, 'cost': 706}, {'facility': 'F3', 'customer': 2, 'cost': 307}, {'facility': 'F3', 'customer': 3, 'cost': 160}, {'facility': 'F3', 'customer': 4, 'cost': 567}, {'facility': 'F3', 'customer': 5, 'cost': 281}, {'facility': 'F3', 'customer': 6, 'cost': 247}, {'facility': 'F3', 'customer': 7, 'cost': 201}, {'facility': 'F3', 'customer': 8, 'cost': 216}, {'facility': 'F3', 'customer': 9, 'cost': 40}, {'facility': 'F3', 'customer': 10, 'cost': 263}, {'facility': 'F3', 'customer': 11, 'cost': 216}, {'facility': 'F3', 'customer': 12, 'cost': 635}, {'facility': 'F3', 'customer': 13, 'cost': 910}, {'facility': 'F3', 'customer': 14, 'cost': 78}, {'facility': 'F3', 'customer': 15, 'cost': 119}, {'facility': 'F3', 'customer': 16, 'cost': 950}, {'facility': 'F3', 'customer': 17, 'cost': 474}, {'facility': 'F4', 'customer': 0, 'cost': 79}, {'facility': 'F4', 'customer': 1, 'cost': 811}, {'facility': 'F4', 'customer': 2, 'cost': 318}, {'facility': 'F4', 'customer': 3, 'cost': 144}, {'facility': 'F4', 'customer': 4, 'cost': 7}, {'facility': 'F4', 'customer': 5, 'cost': 998}, {'facility': 'F4', 'customer': 6, 'cost': 437}, {'facility': 'F4', 'customer': 7, 'cost': 147}, {'facility': 'F4', 'customer': 8, 'cost': 556}, {'facility': 'F4', 'customer': 9, 'cost': 409}, {'facility': 'F4', 'customer': 10, 'cost': 137}, {'facility': 'F4', 'customer': 11, 'cost': 390}, {'facility': 'F4', 'customer': 12, 'cost': 80}, {'facility': 'F4', 'customer': 13, 'cost': 365}, {'facility': 'F4', 'customer': 14, 'cost': 846}, {'facility': 'F4', 'customer': 15, 'cost': 324}, {'facility': 'F4', 'customer': 16, 'cost': 781}, {'facility': 'F4', 'customer': 17, 'cost': 21}, {'facility': 'F5', 'customer': 0, 'cost': 284}, {'facility': 'F5', 'customer': 1, 'cost': 440}, {'facility': 'F5', 'customer': 2, 'cost': 763}, {'facility': 'F5', 'customer': 3, 'cost': 988}, {'facility': 'F5', 'customer': 4, 'cost': 549}, {'facility': 'F5', 'customer': 5, 'cost': 686}, {'facility': 'F5', 'customer': 6, 'cost': 316}, {'facility': 'F5', 'customer': 7, 'cost': 35}, {'facility': 'F5', 'customer': 8, 'cost': 512}, {'facility': 'F5', 'customer': 9, 'cost': 71}, {'facility': 'F5', 'customer': 10, 'cost': 827}, {'facility': 'F5', 'customer': 11, 'cost': 143}, {'facility': 'F5', 'customer': 12, 'cost': 543}, {'facility': 'F5', 'customer': 13, 'cost': 359}, {'facility': 'F5', 'customer': 14, 'cost': 899}, {'facility': 'F5', 'customer': 15, 'cost': 313}, {'facility': 'F5', 'customer': 16, 'cost': 647}, {'facility': 'F5', 'customer': 17, 'cost': 927}, {'facility': 'F6', 'customer': 0, 'cost': 41}, {'facility': 'F6', 'customer': 1, 'cost': 419}, {'facility': 'F6', 'customer': 2, 'cost': 651}, {'facility': 'F6', 'customer': 3, 'cost': 921}, {'facility': 'F6', 'customer': 4, 'cost': 931}, {'facility': 'F6', 'customer': 5, 'cost': 846}, {'facility': 'F6', 'customer': 6, 'cost': 769}, {'facility': 'F6', 'customer': 7, 'cost': 724}, {'facility': 'F6', 'customer': 8, 'cost': 401}, {'facility': 'F6', 'customer': 9, 'cost': 738}, {'facility': 'F6', 'customer': 10, 'cost': 118}, {'facility': 'F6', 'customer': 11, 'cost': 173}, {'facility': 'F6', 'customer': 12, 'cost': 275}, {'facility': 'F6', 'customer': 13, 'cost': 702}, {'facility': 'F6', 'customer': 14, 'cost': 395}, {'facility': 'F6', 'customer': 15, 'cost': 993}, {'facility': 'F6', 'customer': 16, 'cost': 889}, {'facility': 'F6', 'customer': 17, 'cost': 816}, {'facility': 'F7', 'customer': 0, 'cost': 198}, {'facility': 'F7', 'customer': 1, 'cost': 938}, {'facility': 'F7', 'customer': 2, 'cost': 108}, {'facility': 'F7', 'customer': 3, 'cost': 922}, {'facility': 'F7', 'customer': 4, 'cost': 834}, {'facility': 'F7', 'customer': 5, 'cost': 606}, {'facility': 'F7', 'customer': 6, 'cost': 89}, {'facility': 'F7', 'customer': 7, 'cost': 106}, {'facility': 'F7', 'customer': 8, 'cost': 158}, {'facility': 'F7', 'customer': 9, 'cost': 756}, {'facility': 'F7', 'customer': 10, 'cost': 419}, {'facility': 'F7', 'customer': 11, 'cost': 206}, {'facility': 'F7', 'customer': 12, 'cost': 857}, {'facility': 'F7', 'customer': 13, 'cost': 895}, {'facility': 'F7', 'customer': 14, 'cost': 9}, {'facility': 'F7', 'customer': 15, 'cost': 740}, {'facility': 'F7', 'customer': 16, 'cost': 323}, {'facility': 'F7', 'customer': 17, 'cost': 449}, {'facility': 'F8', 'customer': 0, 'cost': 166}, {'facility': 'F8', 'customer': 1, 'cost': 15}, {'facility': 'F8', 'customer': 2, 'cost': 879}, {'facility': 'F8', 'customer': 3, 'cost': 927}, {'facility': 'F8', 'customer': 4, 'cost': 695}, {'facility': 'F8', 'customer': 5, 'cost': 519}, {'facility': 'F8', 'customer': 6, 'cost': 331}, {'facility': 'F8', 'customer': 7, 'cost': 184}, {'facility': 'F8', 'customer': 8, 'cost': 695}, {'facility': 'F8', 'customer': 9, 'cost': 352}, {'facility': 'F8', 'customer': 10, 'cost': 721}, {'facility': 'F8', 'customer': 11, 'cost': 131}, {'facility': 'F8', 'customer': 12, 'cost': 78}, {'facility': 'F8', 'customer': 13, 'cost': 900}, {'facility': 'F8', 'customer': 14, 'cost': 199}, {'facility': 'F8', 'customer': 15, 'cost': 976}, {'facility': 'F8', 'customer': 16, 'cost': 286}, {'facility': 'F8', 'customer': 17, 'cost': 3}, {'facility': 'F9', 'customer': 0, 'cost': 356}, {'facility': 'F9', 'customer': 1, 'cost': 414}, {'facility': 'F9', 'customer': 2, 'cost': 430}, {'facility': 'F9', 'customer': 3, 'cost': 756}, {'facility': 'F9', 'customer': 4, 'cost': 320}, {'facility': 'F9', 'customer': 5, 'cost': 900}, {'facility': 'F9', 'customer': 6, 'cost': 919}, {'facility': 'F9', 'customer': 7, 'cost': 309}, {'facility': 'F9', 'customer': 8, 'cost': 633}, {'facility': 'F9', 'customer': 9, 'cost': 197}, {'facility': 'F9', 'customer': 10, 'cost': 599}, {'facility': 'F9', 'customer': 11, 'cost': 689}, {'facility': 'F9', 'customer': 12, 'cost': 579}, {'facility': 'F9', 'customer': 13, 'cost': 174}, {'facility': 'F9', 'customer': 14, 'cost': 765}, {'facility': 'F9', 'customer': 15, 'cost': 315}, {'facility': 'F9', 'customer': 16, 'cost': 172}, {'facility': 'F9', 'customer': 17, 'cost': 404}], 'objective': 5616.0}","{'selected': ['F1', 'F3', 'F4'], 'assignments': ['F4', 'F1', 'F3', 'F4', 'F4', 'F3', 'F3', 'F4', 'F3', 'F3', 'F1', 'F1', 'F4', 'F4', 'F3', 'F3', 'F1', 'F4']}",7,markdown_table,0
UFLP,UFLP,"I’m the one putting together the community garden plan this season: pick which plots to get ready and then place every interested family into exactly one of those prepared plots. Only plots that are prepared can take families, and a plot can host any number of families. The goal is to keep the total bill down — add up the setup cost for each plot that’s prepared plus the travel cost for every family to their assigned plot — and choose the combination that yields the smallest total. The exact plots, their setup costs, and the family travel numbers are listed below.

# num_plots=8
# num_families=19
# PLOTS
plot_id,plot_setup_cost
F1,1189
F2,1515
F3,1644
F4,1841
F5,1725
F6,1227
F7,1645
F8,1361
# FAMILYS
family_id
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
# TRAVELS
plot_id,family_id,travel_cost
F1,1,321
F1,2,5
F1,3,524
F1,4,176
F1,5,708
F1,6,255
F1,7,348
F1,8,410
F1,9,884
F1,10,53
F1,11,229
F1,12,338
F1,13,655
F1,14,661
F1,15,940
F1,16,150
F1,17,147
F1,18,843
F1,19,46
F2,1,419
F2,2,593
F2,3,408
F2,4,751
F2,5,350
F2,6,226
F2,7,967
F2,8,654
F2,9,636
F2,10,243
F2,11,262
F2,12,788
F2,13,791
F2,14,48
F2,15,766
F2,16,634
F2,17,309
F2,18,422
F2,19,67
F3,1,447
F3,2,3
F3,3,955
F3,4,746
F3,5,269
F3,6,247
F3,7,793
F3,8,909
F3,9,952
F3,10,208
F3,11,462
F3,12,244
F3,13,56
F3,14,813
F3,15,394
F3,16,843
F3,17,577
F3,18,252
F3,19,216
F4,1,912
F4,2,737
F4,3,368
F4,4,762
F4,5,443
F4,6,320
F4,7,873
F4,8,160
F4,9,26
F4,10,87
F4,11,785
F4,12,931
F4,13,95
F4,14,286
F4,15,4
F4,16,42
F4,17,296
F4,18,305
F4,19,439
F5,1,970
F5,2,128
F5,3,897
F5,4,218
F5,5,354
F5,6,770
F5,7,787
F5,8,295
F5,9,569
F5,10,233
F5,11,44
F5,12,414
F5,13,500
F5,14,296
F5,15,565
F5,16,199
F5,17,22
F5,18,315
F5,19,979
F6,1,681
F6,2,420
F6,3,133
F6,4,766
F6,5,712
F6,6,202
F6,7,654
F6,8,860
F6,9,853
F6,10,257
F6,11,437
F6,12,647
F6,13,468
F6,14,704
F6,15,83
F6,16,399
F6,17,986
F6,18,42
F6,19,426
F7,1,836
F7,2,161
F7,3,870
F7,4,787
F7,5,331
F7,6,739
F7,7,622
F7,8,802
F7,9,786
F7,10,339
F7,11,338
F7,12,752
F7,13,996
F7,14,352
F7,15,803
F7,16,536
F7,17,855
F7,18,297
F7,19,223
F8,1,284
F8,2,418
F8,3,645
F8,4,482
F8,5,738
F8,6,188
F8,7,125
F8,8,321
F8,9,265
F8,10,132
F8,11,177
F8,12,589
F8,13,17
F8,14,34
F8,15,669
F8,16,17
F8,17,5
F8,18,683
F8,19,891

You can send back the final plan in a little JSON snippet like this — just helps me parse it easily. Something in this shape will do:

{
  ""solution"": {
    ""selected"": [<plot_to_prepare>, <plot_to_prepare>, ...],
    ""assignments"": [<assigned_plot>, <assigned_plot>, ...]
  }
}

Quick, friendly guide: ""selected"" is the list of plots you decide to get ready (those incur setup costs). ""assignments"" lists, in order, which prepared plot each family will use (so the first entry is the plot for the first family, the second for the second family, and so on). Think of this JSON as a simple form — a sketch of the shape I need, not the final numbers.

Please make sure all plot and family identifiers you put in there match the instance exactly — don’t rename them or invent new labels.  
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'opening_costs': [1189, 1515, 1644, 1841, 1725, 1227, 1645, 1361], 'connection_costs': [[321, 5, 524, 176, 708, 255, 348, 410, 884, 53, 229, 338, 655, 661, 940, 150, 147, 843, 46], [419, 593, 408, 751, 350, 226, 967, 654, 636, 243, 262, 788, 791, 48, 766, 634, 309, 422, 67], [447, 3, 955, 746, 269, 247, 793, 909, 952, 208, 462, 244, 56, 813, 394, 843, 577, 252, 216], [912, 737, 368, 762, 443, 320, 873, 160, 26, 87, 785, 931, 95, 286, 4, 42, 296, 305, 439], [970, 128, 897, 218, 354, 770, 787, 295, 569, 233, 44, 414, 500, 296, 565, 199, 22, 315, 979], [681, 420, 133, 766, 712, 202, 654, 860, 853, 257, 437, 647, 468, 704, 83, 399, 986, 42, 426], [836, 161, 870, 787, 331, 739, 622, 802, 786, 339, 338, 752, 996, 352, 803, 536, 855, 297, 223], [284, 418, 645, 482, 738, 188, 125, 321, 265, 132, 177, 589, 17, 34, 669, 17, 5, 683, 891]], 'objective': 6677.0}","{'open_facilities': [0, 3], 'assignments': [0, 0, 3, 0, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3, 0]}",6677.0,"{'problem_type': 'UFLP', 'num_facilities': 8, 'num_customers': 19, 'facilities': [{'id': 'F1', 'opening_cost': 1189}, {'id': 'F2', 'opening_cost': 1515}, {'id': 'F3', 'opening_cost': 1644}, {'id': 'F4', 'opening_cost': 1841}, {'id': 'F5', 'opening_cost': 1725}, {'id': 'F6', 'opening_cost': 1227}, {'id': 'F7', 'opening_cost': 1645}, {'id': 'F8', 'opening_cost': 1361}], 'customers': [{'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}, {'id': 16}, {'id': 17}, {'id': 18}, {'id': 19}], 'connection_costs': [{'facility': 'F1', 'customer': 1, 'cost': 321}, {'facility': 'F1', 'customer': 2, 'cost': 5}, {'facility': 'F1', 'customer': 3, 'cost': 524}, {'facility': 'F1', 'customer': 4, 'cost': 176}, {'facility': 'F1', 'customer': 5, 'cost': 708}, {'facility': 'F1', 'customer': 6, 'cost': 255}, {'facility': 'F1', 'customer': 7, 'cost': 348}, {'facility': 'F1', 'customer': 8, 'cost': 410}, {'facility': 'F1', 'customer': 9, 'cost': 884}, {'facility': 'F1', 'customer': 10, 'cost': 53}, {'facility': 'F1', 'customer': 11, 'cost': 229}, {'facility': 'F1', 'customer': 12, 'cost': 338}, {'facility': 'F1', 'customer': 13, 'cost': 655}, {'facility': 'F1', 'customer': 14, 'cost': 661}, {'facility': 'F1', 'customer': 15, 'cost': 940}, {'facility': 'F1', 'customer': 16, 'cost': 150}, {'facility': 'F1', 'customer': 17, 'cost': 147}, {'facility': 'F1', 'customer': 18, 'cost': 843}, {'facility': 'F1', 'customer': 19, 'cost': 46}, {'facility': 'F2', 'customer': 1, 'cost': 419}, {'facility': 'F2', 'customer': 2, 'cost': 593}, {'facility': 'F2', 'customer': 3, 'cost': 408}, {'facility': 'F2', 'customer': 4, 'cost': 751}, {'facility': 'F2', 'customer': 5, 'cost': 350}, {'facility': 'F2', 'customer': 6, 'cost': 226}, {'facility': 'F2', 'customer': 7, 'cost': 967}, {'facility': 'F2', 'customer': 8, 'cost': 654}, {'facility': 'F2', 'customer': 9, 'cost': 636}, {'facility': 'F2', 'customer': 10, 'cost': 243}, {'facility': 'F2', 'customer': 11, 'cost': 262}, {'facility': 'F2', 'customer': 12, 'cost': 788}, {'facility': 'F2', 'customer': 13, 'cost': 791}, {'facility': 'F2', 'customer': 14, 'cost': 48}, {'facility': 'F2', 'customer': 15, 'cost': 766}, {'facility': 'F2', 'customer': 16, 'cost': 634}, {'facility': 'F2', 'customer': 17, 'cost': 309}, {'facility': 'F2', 'customer': 18, 'cost': 422}, {'facility': 'F2', 'customer': 19, 'cost': 67}, {'facility': 'F3', 'customer': 1, 'cost': 447}, {'facility': 'F3', 'customer': 2, 'cost': 3}, {'facility': 'F3', 'customer': 3, 'cost': 955}, {'facility': 'F3', 'customer': 4, 'cost': 746}, {'facility': 'F3', 'customer': 5, 'cost': 269}, {'facility': 'F3', 'customer': 6, 'cost': 247}, {'facility': 'F3', 'customer': 7, 'cost': 793}, {'facility': 'F3', 'customer': 8, 'cost': 909}, {'facility': 'F3', 'customer': 9, 'cost': 952}, {'facility': 'F3', 'customer': 10, 'cost': 208}, {'facility': 'F3', 'customer': 11, 'cost': 462}, {'facility': 'F3', 'customer': 12, 'cost': 244}, {'facility': 'F3', 'customer': 13, 'cost': 56}, {'facility': 'F3', 'customer': 14, 'cost': 813}, {'facility': 'F3', 'customer': 15, 'cost': 394}, {'facility': 'F3', 'customer': 16, 'cost': 843}, {'facility': 'F3', 'customer': 17, 'cost': 577}, {'facility': 'F3', 'customer': 18, 'cost': 252}, {'facility': 'F3', 'customer': 19, 'cost': 216}, {'facility': 'F4', 'customer': 1, 'cost': 912}, {'facility': 'F4', 'customer': 2, 'cost': 737}, {'facility': 'F4', 'customer': 3, 'cost': 368}, {'facility': 'F4', 'customer': 4, 'cost': 762}, {'facility': 'F4', 'customer': 5, 'cost': 443}, {'facility': 'F4', 'customer': 6, 'cost': 320}, {'facility': 'F4', 'customer': 7, 'cost': 873}, {'facility': 'F4', 'customer': 8, 'cost': 160}, {'facility': 'F4', 'customer': 9, 'cost': 26}, {'facility': 'F4', 'customer': 10, 'cost': 87}, {'facility': 'F4', 'customer': 11, 'cost': 785}, {'facility': 'F4', 'customer': 12, 'cost': 931}, {'facility': 'F4', 'customer': 13, 'cost': 95}, {'facility': 'F4', 'customer': 14, 'cost': 286}, {'facility': 'F4', 'customer': 15, 'cost': 4}, {'facility': 'F4', 'customer': 16, 'cost': 42}, {'facility': 'F4', 'customer': 17, 'cost': 296}, {'facility': 'F4', 'customer': 18, 'cost': 305}, {'facility': 'F4', 'customer': 19, 'cost': 439}, {'facility': 'F5', 'customer': 1, 'cost': 970}, {'facility': 'F5', 'customer': 2, 'cost': 128}, {'facility': 'F5', 'customer': 3, 'cost': 897}, {'facility': 'F5', 'customer': 4, 'cost': 218}, {'facility': 'F5', 'customer': 5, 'cost': 354}, {'facility': 'F5', 'customer': 6, 'cost': 770}, {'facility': 'F5', 'customer': 7, 'cost': 787}, {'facility': 'F5', 'customer': 8, 'cost': 295}, {'facility': 'F5', 'customer': 9, 'cost': 569}, {'facility': 'F5', 'customer': 10, 'cost': 233}, {'facility': 'F5', 'customer': 11, 'cost': 44}, {'facility': 'F5', 'customer': 12, 'cost': 414}, {'facility': 'F5', 'customer': 13, 'cost': 500}, {'facility': 'F5', 'customer': 14, 'cost': 296}, {'facility': 'F5', 'customer': 15, 'cost': 565}, {'facility': 'F5', 'customer': 16, 'cost': 199}, {'facility': 'F5', 'customer': 17, 'cost': 22}, {'facility': 'F5', 'customer': 18, 'cost': 315}, {'facility': 'F5', 'customer': 19, 'cost': 979}, {'facility': 'F6', 'customer': 1, 'cost': 681}, {'facility': 'F6', 'customer': 2, 'cost': 420}, {'facility': 'F6', 'customer': 3, 'cost': 133}, {'facility': 'F6', 'customer': 4, 'cost': 766}, {'facility': 'F6', 'customer': 5, 'cost': 712}, {'facility': 'F6', 'customer': 6, 'cost': 202}, {'facility': 'F6', 'customer': 7, 'cost': 654}, {'facility': 'F6', 'customer': 8, 'cost': 860}, {'facility': 'F6', 'customer': 9, 'cost': 853}, {'facility': 'F6', 'customer': 10, 'cost': 257}, {'facility': 'F6', 'customer': 11, 'cost': 437}, {'facility': 'F6', 'customer': 12, 'cost': 647}, {'facility': 'F6', 'customer': 13, 'cost': 468}, {'facility': 'F6', 'customer': 14, 'cost': 704}, {'facility': 'F6', 'customer': 15, 'cost': 83}, {'facility': 'F6', 'customer': 16, 'cost': 399}, {'facility': 'F6', 'customer': 17, 'cost': 986}, {'facility': 'F6', 'customer': 18, 'cost': 42}, {'facility': 'F6', 'customer': 19, 'cost': 426}, {'facility': 'F7', 'customer': 1, 'cost': 836}, {'facility': 'F7', 'customer': 2, 'cost': 161}, {'facility': 'F7', 'customer': 3, 'cost': 870}, {'facility': 'F7', 'customer': 4, 'cost': 787}, {'facility': 'F7', 'customer': 5, 'cost': 331}, {'facility': 'F7', 'customer': 6, 'cost': 739}, {'facility': 'F7', 'customer': 7, 'cost': 622}, {'facility': 'F7', 'customer': 8, 'cost': 802}, {'facility': 'F7', 'customer': 9, 'cost': 786}, {'facility': 'F7', 'customer': 10, 'cost': 339}, {'facility': 'F7', 'customer': 11, 'cost': 338}, {'facility': 'F7', 'customer': 12, 'cost': 752}, {'facility': 'F7', 'customer': 13, 'cost': 996}, {'facility': 'F7', 'customer': 14, 'cost': 352}, {'facility': 'F7', 'customer': 15, 'cost': 803}, {'facility': 'F7', 'customer': 16, 'cost': 536}, {'facility': 'F7', 'customer': 17, 'cost': 855}, {'facility': 'F7', 'customer': 18, 'cost': 297}, {'facility': 'F7', 'customer': 19, 'cost': 223}, {'facility': 'F8', 'customer': 1, 'cost': 284}, {'facility': 'F8', 'customer': 2, 'cost': 418}, {'facility': 'F8', 'customer': 3, 'cost': 645}, {'facility': 'F8', 'customer': 4, 'cost': 482}, {'facility': 'F8', 'customer': 5, 'cost': 738}, {'facility': 'F8', 'customer': 6, 'cost': 188}, {'facility': 'F8', 'customer': 7, 'cost': 125}, {'facility': 'F8', 'customer': 8, 'cost': 321}, {'facility': 'F8', 'customer': 9, 'cost': 265}, {'facility': 'F8', 'customer': 10, 'cost': 132}, {'facility': 'F8', 'customer': 11, 'cost': 177}, {'facility': 'F8', 'customer': 12, 'cost': 589}, {'facility': 'F8', 'customer': 13, 'cost': 17}, {'facility': 'F8', 'customer': 14, 'cost': 34}, {'facility': 'F8', 'customer': 15, 'cost': 669}, {'facility': 'F8', 'customer': 16, 'cost': 17}, {'facility': 'F8', 'customer': 17, 'cost': 5}, {'facility': 'F8', 'customer': 18, 'cost': 683}, {'facility': 'F8', 'customer': 19, 'cost': 891}], 'objective': 6677.0}","{'selected': ['F1', 'F4'], 'assignments': ['F1', 'F1', 'F4', 'F1', 'F4', 'F1', 'F1', 'F4', 'F4', 'F1', 'F1', 'F1', 'F4', 'F4', 'F4', 'F4', 'F1', 'F4', 'F1']}",8,csv,1
UFLP,UFLP,"Someone on the team needs to decide which weekend sites to launch so all students have a weekend tutoring spot. Each candidate site carries a launch price, and every student will have some commute cost depending on which site they use. The choice is twofold: pick which sites to open, then put each student at exactly one of those opened sites — no skipping students and no splitting them between centers. To compare choices, add up the costs to open the chosen sites plus the commuting costs for all students to their assigned sites; the plan with the smallest total bill is preferable. Sites aren’t capacity-limited, but students may only be assigned to sites that are actually launched. The concrete details are shown below.

{
  ""num_candidate_centers"": 8,
  ""num_students"": 19,
  ""centers"": [
    {
      ""center_id"": ""F1"",
      ""launch_cost"": 1716
    },
    {
      ""center_id"": ""F2"",
      ""launch_cost"": 1489
    },
    {
      ""center_id"": ""F3"",
      ""launch_cost"": 1125
    },
    {
      ""center_id"": ""F4"",
      ""launch_cost"": 1116
    },
    {
      ""center_id"": ""F5"",
      ""launch_cost"": 1082
    },
    {
      ""center_id"": ""F6"",
      ""launch_cost"": 1788
    },
    {
      ""center_id"": ""F7"",
      ""launch_cost"": 1109
    },
    {
      ""center_id"": ""F8"",
      ""launch_cost"": 1234
    }
  ],
  ""students"": [
    {
      ""student_id"": 1
    },
    {
      ""student_id"": 2
    },
    {
      ""student_id"": 3
    },
    {
      ""student_id"": 4
    },
    {
      ""student_id"": 5
    },
    {
      ""student_id"": 6
    },
    {
      ""student_id"": 7
    },
    {
      ""student_id"": 8
    },
    {
      ""student_id"": 9
    },
    {
      ""student_id"": 10
    },
    {
      ""student_id"": 11
    },
    {
      ""student_id"": 12
    },
    {
      ""student_id"": 13
    },
    {
      ""student_id"": 14
    },
    {
      ""student_id"": 15
    },
    {
      ""student_id"": 16
    },
    {
      ""student_id"": 17
    },
    {
      ""student_id"": 18
    },
    {
      ""student_id"": 19
    }
  ],
  ""commutes"": [
    {
      ""center_id"": ""F1"",
      ""student_id"": 1,
      ""commute_cost"": 798
    },
    {
      ""center_id"": ""F1"",
      ""student_id"": 2,
      ""commute_cost"": 567
    },
    {
      ""center_id"": ""F1"",
      ""student_id"": 3,
      ""commute_cost"": 702
    },
    {
      ""center_id"": ""F1"",
      ""student_id"": 4,
      ""commute_cost"": 558
    },
    {
      ""center_id"": ""F1"",
      ""student_id"": 5,
      ""commute_cost"": 339
    },
    {
      ""center_id"": ""F1"",
      ""student_id"": 6,
      ""commute_cost"": 550
    },
    {
      ""center_id"": ""F1"",
      ""student_id"": 7,
      ""commute_cost"": 48
    },
    {
      ""center_id"": ""F1"",
      ""student_id"": 8,
      ""commute_cost"": 490
    },
    {
      ""center_id"": ""F1"",
      ""student_id"": 9,
      ""commute_cost"": 188
    },
    {
      ""center_id"": ""F1"",
      ""student_id"": 10,
      ""commute_cost"": 675
    },
    {
      ""center_id"": ""F1"",
      ""student_id"": 11,
      ""commute_cost"": 570
    },
    {
      ""center_id"": ""F1"",
      ""student_id"": 12,
      ""commute_cost"": 121
    },
    {
      ""center_id"": ""F1"",
      ""student_id"": 13,
      ""commute_cost"": 846
    },
    {
      ""center_id"": ""F1"",
      ""student_id"": 14,
      ""commute_cost"": 773
    },
    {
      ""center_id"": ""F1"",
      ""student_id"": 15,
      ""commute_cost"": 363
    },
    {
      ""center_id"": ""F1"",
      ""student_id"": 16,
      ""commute_cost"": 767
    },
    {
      ""center_id"": ""F1"",
      ""student_id"": 17,
      ""commute_cost"": 469
    },
    {
      ""center_id"": ""F1"",
      ""student_id"": 18,
      ""commute_cost"": 774
    },
    {
      ""center_id"": ""F1"",
      ""student_id"": 19,
      ""commute_cost"": 801
    },
    {
      ""center_id"": ""F2"",
      ""student_id"": 1,
      ""commute_cost"": 303
    },
    {
      ""center_id"": ""F2"",
      ""student_id"": 2,
      ""commute_cost"": 382
    },
    {
      ""center_id"": ""F2"",
      ""student_id"": 3,
      ""commute_cost"": 68
    },
    {
      ""center_id"": ""F2"",
      ""student_id"": 4,
      ""commute_cost"": 787
    },
    {
      ""center_id"": ""F2"",
      ""student_id"": 5,
      ""commute_cost"": 542
    },
    {
      ""center_id"": ""F2"",
      ""student_id"": 6,
      ""commute_cost"": 992
    },
    {
      ""center_id"": ""F2"",
      ""student_id"": 7,
      ""commute_cost"": 396
    },
    {
      ""center_id"": ""F2"",
      ""student_id"": 8,
      ""commute_cost"": 410
    },
    {
      ""center_id"": ""F2"",
      ""student_id"": 9,
      ""commute_cost"": 126
    },
    {
      ""center_id"": ""F2"",
      ""student_id"": 10,
      ""commute_cost"": 19
    },
    {
      ""center_id"": ""F2"",
      ""student_id"": 11,
      ""commute_cost"": 794
    },
    {
      ""center_id"": ""F2"",
      ""student_id"": 12,
      ""commute_cost"": 998
    },
    {
      ""center_id"": ""F2"",
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      ""commute_cost"": 467
    },
    {
      ""center_id"": ""F2"",
      ""student_id"": 14,
      ""commute_cost"": 993
    },
    {
      ""center_id"": ""F2"",
      ""student_id"": 15,
      ""commute_cost"": 755
    },
    {
      ""center_id"": ""F2"",
      ""student_id"": 16,
      ""commute_cost"": 607
    },
    {
      ""center_id"": ""F2"",
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    },
    {
      ""center_id"": ""F2"",
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      ""commute_cost"": 300
    },
    {
      ""center_id"": ""F2"",
      ""student_id"": 19,
      ""commute_cost"": 348
    },
    {
      ""center_id"": ""F3"",
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      ""commute_cost"": 916
    },
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    },
    {
      ""center_id"": ""F3"",
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    },
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    },
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    },
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    },
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    },
    {
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    },
    {
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    },
    {
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    },
    {
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    },
    {
      ""center_id"": ""F3"",
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      ""commute_cost"": 144
    },
    {
      ""center_id"": ""F3"",
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    },
    {
      ""center_id"": ""F3"",
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    },
    {
      ""center_id"": ""F3"",
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    },
    {
      ""center_id"": ""F3"",
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    },
    {
      ""center_id"": ""F3"",
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    },
    {
      ""center_id"": ""F3"",
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    },
    {
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    },
    {
      ""center_id"": ""F4"",
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    },
    {
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    },
    {
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    {
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    {
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    },
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    {
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    },
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    },
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    },
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    },
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    },
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    },
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    },
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    },
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    },
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    },
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    },
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    },
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    },
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    },
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    },
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    },
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    },
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    },
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      ""commute_cost"": 73
    },
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    },
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    },
    {
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      ""commute_cost"": 31
    },
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      ""commute_cost"": 470
    },
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      ""commute_cost"": 884
    },
    {
      ""center_id"": ""F7"",
      ""student_id"": 6,
      ""commute_cost"": 26
    },
    {
      ""center_id"": ""F7"",
      ""student_id"": 7,
      ""commute_cost"": 186
    },
    {
      ""center_id"": ""F7"",
      ""student_id"": 8,
      ""commute_cost"": 83
    },
    {
      ""center_id"": ""F7"",
      ""student_id"": 9,
      ""commute_cost"": 843
    },
    {
      ""center_id"": ""F7"",
      ""student_id"": 10,
      ""commute_cost"": 861
    },
    {
      ""center_id"": ""F7"",
      ""student_id"": 11,
      ""commute_cost"": 813
    },
    {
      ""center_id"": ""F7"",
      ""student_id"": 12,
      ""commute_cost"": 595
    },
    {
      ""center_id"": ""F7"",
      ""student_id"": 13,
      ""commute_cost"": 150
    },
    {
      ""center_id"": ""F7"",
      ""student_id"": 14,
      ""commute_cost"": 660
    },
    {
      ""center_id"": ""F7"",
      ""student_id"": 15,
      ""commute_cost"": 617
    },
    {
      ""center_id"": ""F7"",
      ""student_id"": 16,
      ""commute_cost"": 247
    },
    {
      ""center_id"": ""F7"",
      ""student_id"": 17,
      ""commute_cost"": 405
    },
    {
      ""center_id"": ""F7"",
      ""student_id"": 18,
      ""commute_cost"": 974
    },
    {
      ""center_id"": ""F7"",
      ""student_id"": 19,
      ""commute_cost"": 377
    },
    {
      ""center_id"": ""F8"",
      ""student_id"": 1,
      ""commute_cost"": 999
    },
    {
      ""center_id"": ""F8"",
      ""student_id"": 2,
      ""commute_cost"": 12
    },
    {
      ""center_id"": ""F8"",
      ""student_id"": 3,
      ""commute_cost"": 408
    },
    {
      ""center_id"": ""F8"",
      ""student_id"": 4,
      ""commute_cost"": 745
    },
    {
      ""center_id"": ""F8"",
      ""student_id"": 5,
      ""commute_cost"": 386
    },
    {
      ""center_id"": ""F8"",
      ""student_id"": 6,
      ""commute_cost"": 787
    },
    {
      ""center_id"": ""F8"",
      ""student_id"": 7,
      ""commute_cost"": 467
    },
    {
      ""center_id"": ""F8"",
      ""student_id"": 8,
      ""commute_cost"": 221
    },
    {
      ""center_id"": ""F8"",
      ""student_id"": 9,
      ""commute_cost"": 724
    },
    {
      ""center_id"": ""F8"",
      ""student_id"": 10,
      ""commute_cost"": 819
    },
    {
      ""center_id"": ""F8"",
      ""student_id"": 11,
      ""commute_cost"": 487
    },
    {
      ""center_id"": ""F8"",
      ""student_id"": 12,
      ""commute_cost"": 182
    },
    {
      ""center_id"": ""F8"",
      ""student_id"": 13,
      ""commute_cost"": 68
    },
    {
      ""center_id"": ""F8"",
      ""student_id"": 14,
      ""commute_cost"": 771
    },
    {
      ""center_id"": ""F8"",
      ""student_id"": 15,
      ""commute_cost"": 544
    },
    {
      ""center_id"": ""F8"",
      ""student_id"": 16,
      ""commute_cost"": 559
    },
    {
      ""center_id"": ""F8"",
      ""student_id"": 17,
      ""commute_cost"": 730
    },
    {
      ""center_id"": ""F8"",
      ""student_id"": 18,
      ""commute_cost"": 790
    },
    {
      ""center_id"": ""F8"",
      ""student_id"": 19,
      ""commute_cost"": 991
    }
  ]
}

Also, when you hand back the plan, it helps if you use a simple JSON shape like this so we can read it automatically — nothing fancy, just the bits we need:

{
  ""solution"": {
    ""selected"": [<site_to_open>, <site_to_open>, ...],
    ""assignments"": [<chosen_open_site>, <chosen_open_site>, ...]
  }
}

Think of ""selected"" as the list of weekend sites you decide to launch, and ""assignments"" as, for each student (in the same order as the input), which launched site they’ll go to. This block is just a sketch of the shape I expect, not the actual answer.

Please make sure every identifier you use matches the instance input exactly — don’t rename IDs or invent new ones. Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'opening_costs': [1716, 1489, 1125, 1116, 1082, 1788, 1109, 1234], 'connection_costs': [[798, 567, 702, 558, 339, 550, 48, 490, 188, 675, 570, 121, 846, 773, 363, 767, 469, 774, 801], [303, 382, 68, 787, 542, 992, 396, 410, 126, 19, 794, 998, 467, 993, 755, 607, 118, 300, 348], [916, 565, 644, 898, 586, 56, 297, 990, 956, 273, 142, 144, 641, 976, 321, 393, 363, 792, 427], [57, 62, 902, 459, 504, 21, 100, 853, 245, 679, 424, 486, 321, 509, 879, 145, 939, 985, 182], [607, 679, 209, 318, 738, 298, 61, 869, 510, 368, 849, 725, 487, 261, 49, 609, 107, 484, 321], [533, 675, 896, 371, 121, 43, 174, 183, 146, 219, 282, 63, 274, 221, 825, 770, 265, 459, 73], [524, 310, 31, 470, 884, 26, 186, 83, 843, 861, 813, 595, 150, 660, 617, 247, 405, 974, 377], [999, 12, 408, 745, 386, 787, 467, 221, 724, 819, 487, 182, 68, 771, 544, 559, 730, 790, 991]], 'objective': 7056.0}","{'open_facilities': [3, 4, 5], 'assignments': [3, 3, 4, 4, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 5]}",7056.0,"{'problem_type': 'UFLP', 'num_facilities': 8, 'num_customers': 19, 'facilities': [{'id': 'F1', 'opening_cost': 1716}, {'id': 'F2', 'opening_cost': 1489}, {'id': 'F3', 'opening_cost': 1125}, {'id': 'F4', 'opening_cost': 1116}, {'id': 'F5', 'opening_cost': 1082}, {'id': 'F6', 'opening_cost': 1788}, {'id': 'F7', 'opening_cost': 1109}, {'id': 'F8', 'opening_cost': 1234}], 'customers': [{'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}, {'id': 16}, {'id': 17}, {'id': 18}, {'id': 19}], 'connection_costs': [{'facility': 'F1', 'customer': 1, 'cost': 798}, {'facility': 'F1', 'customer': 2, 'cost': 567}, {'facility': 'F1', 'customer': 3, 'cost': 702}, {'facility': 'F1', 'customer': 4, 'cost': 558}, {'facility': 'F1', 'customer': 5, 'cost': 339}, {'facility': 'F1', 'customer': 6, 'cost': 550}, {'facility': 'F1', 'customer': 7, 'cost': 48}, {'facility': 'F1', 'customer': 8, 'cost': 490}, {'facility': 'F1', 'customer': 9, 'cost': 188}, {'facility': 'F1', 'customer': 10, 'cost': 675}, {'facility': 'F1', 'customer': 11, 'cost': 570}, {'facility': 'F1', 'customer': 12, 'cost': 121}, {'facility': 'F1', 'customer': 13, 'cost': 846}, {'facility': 'F1', 'customer': 14, 'cost': 773}, {'facility': 'F1', 'customer': 15, 'cost': 363}, {'facility': 'F1', 'customer': 16, 'cost': 767}, {'facility': 'F1', 'customer': 17, 'cost': 469}, {'facility': 'F1', 'customer': 18, 'cost': 774}, {'facility': 'F1', 'customer': 19, 'cost': 801}, {'facility': 'F2', 'customer': 1, 'cost': 303}, {'facility': 'F2', 'customer': 2, 'cost': 382}, {'facility': 'F2', 'customer': 3, 'cost': 68}, {'facility': 'F2', 'customer': 4, 'cost': 787}, {'facility': 'F2', 'customer': 5, 'cost': 542}, {'facility': 'F2', 'customer': 6, 'cost': 992}, {'facility': 'F2', 'customer': 7, 'cost': 396}, {'facility': 'F2', 'customer': 8, 'cost': 410}, {'facility': 'F2', 'customer': 9, 'cost': 126}, {'facility': 'F2', 'customer': 10, 'cost': 19}, {'facility': 'F2', 'customer': 11, 'cost': 794}, {'facility': 'F2', 'customer': 12, 'cost': 998}, {'facility': 'F2', 'customer': 13, 'cost': 467}, {'facility': 'F2', 'customer': 14, 'cost': 993}, {'facility': 'F2', 'customer': 15, 'cost': 755}, {'facility': 'F2', 'customer': 16, 'cost': 607}, {'facility': 'F2', 'customer': 17, 'cost': 118}, {'facility': 'F2', 'customer': 18, 'cost': 300}, {'facility': 'F2', 'customer': 19, 'cost': 348}, {'facility': 'F3', 'customer': 1, 'cost': 916}, {'facility': 'F3', 'customer': 2, 'cost': 565}, {'facility': 'F3', 'customer': 3, 'cost': 644}, {'facility': 'F3', 'customer': 4, 'cost': 898}, {'facility': 'F3', 'customer': 5, 'cost': 586}, {'facility': 'F3', 'customer': 6, 'cost': 56}, {'facility': 'F3', 'customer': 7, 'cost': 297}, {'facility': 'F3', 'customer': 8, 'cost': 990}, {'facility': 'F3', 'customer': 9, 'cost': 956}, {'facility': 'F3', 'customer': 10, 'cost': 273}, {'facility': 'F3', 'customer': 11, 'cost': 142}, {'facility': 'F3', 'customer': 12, 'cost': 144}, {'facility': 'F3', 'customer': 13, 'cost': 641}, {'facility': 'F3', 'customer': 14, 'cost': 976}, {'facility': 'F3', 'customer': 15, 'cost': 321}, {'facility': 'F3', 'customer': 16, 'cost': 393}, {'facility': 'F3', 'customer': 17, 'cost': 363}, {'facility': 'F3', 'customer': 18, 'cost': 792}, {'facility': 'F3', 'customer': 19, 'cost': 427}, {'facility': 'F4', 'customer': 1, 'cost': 57}, {'facility': 'F4', 'customer': 2, 'cost': 62}, {'facility': 'F4', 'customer': 3, 'cost': 902}, {'facility': 'F4', 'customer': 4, 'cost': 459}, {'facility': 'F4', 'customer': 5, 'cost': 504}, {'facility': 'F4', 'customer': 6, 'cost': 21}, {'facility': 'F4', 'customer': 7, 'cost': 100}, {'facility': 'F4', 'customer': 8, 'cost': 853}, {'facility': 'F4', 'customer': 9, 'cost': 245}, {'facility': 'F4', 'customer': 10, 'cost': 679}, {'facility': 'F4', 'customer': 11, 'cost': 424}, {'facility': 'F4', 'customer': 12, 'cost': 486}, {'facility': 'F4', 'customer': 13, 'cost': 321}, {'facility': 'F4', 'customer': 14, 'cost': 509}, {'facility': 'F4', 'customer': 15, 'cost': 879}, {'facility': 'F4', 'customer': 16, 'cost': 145}, {'facility': 'F4', 'customer': 17, 'cost': 939}, {'facility': 'F4', 'customer': 18, 'cost': 985}, {'facility': 'F4', 'customer': 19, 'cost': 182}, {'facility': 'F5', 'customer': 1, 'cost': 607}, {'facility': 'F5', 'customer': 2, 'cost': 679}, {'facility': 'F5', 'customer': 3, 'cost': 209}, {'facility': 'F5', 'customer': 4, 'cost': 318}, {'facility': 'F5', 'customer': 5, 'cost': 738}, {'facility': 'F5', 'customer': 6, 'cost': 298}, {'facility': 'F5', 'customer': 7, 'cost': 61}, {'facility': 'F5', 'customer': 8, 'cost': 869}, {'facility': 'F5', 'customer': 9, 'cost': 510}, {'facility': 'F5', 'customer': 10, 'cost': 368}, {'facility': 'F5', 'customer': 11, 'cost': 849}, {'facility': 'F5', 'customer': 12, 'cost': 725}, {'facility': 'F5', 'customer': 13, 'cost': 487}, {'facility': 'F5', 'customer': 14, 'cost': 261}, {'facility': 'F5', 'customer': 15, 'cost': 49}, {'facility': 'F5', 'customer': 16, 'cost': 609}, {'facility': 'F5', 'customer': 17, 'cost': 107}, {'facility': 'F5', 'customer': 18, 'cost': 484}, {'facility': 'F5', 'customer': 19, 'cost': 321}, {'facility': 'F6', 'customer': 1, 'cost': 533}, {'facility': 'F6', 'customer': 2, 'cost': 675}, {'facility': 'F6', 'customer': 3, 'cost': 896}, {'facility': 'F6', 'customer': 4, 'cost': 371}, {'facility': 'F6', 'customer': 5, 'cost': 121}, {'facility': 'F6', 'customer': 6, 'cost': 43}, {'facility': 'F6', 'customer': 7, 'cost': 174}, {'facility': 'F6', 'customer': 8, 'cost': 183}, {'facility': 'F6', 'customer': 9, 'cost': 146}, {'facility': 'F6', 'customer': 10, 'cost': 219}, {'facility': 'F6', 'customer': 11, 'cost': 282}, {'facility': 'F6', 'customer': 12, 'cost': 63}, {'facility': 'F6', 'customer': 13, 'cost': 274}, {'facility': 'F6', 'customer': 14, 'cost': 221}, {'facility': 'F6', 'customer': 15, 'cost': 825}, {'facility': 'F6', 'customer': 16, 'cost': 770}, {'facility': 'F6', 'customer': 17, 'cost': 265}, {'facility': 'F6', 'customer': 18, 'cost': 459}, {'facility': 'F6', 'customer': 19, 'cost': 73}, {'facility': 'F7', 'customer': 1, 'cost': 524}, {'facility': 'F7', 'customer': 2, 'cost': 310}, {'facility': 'F7', 'customer': 3, 'cost': 31}, {'facility': 'F7', 'customer': 4, 'cost': 470}, {'facility': 'F7', 'customer': 5, 'cost': 884}, {'facility': 'F7', 'customer': 6, 'cost': 26}, {'facility': 'F7', 'customer': 7, 'cost': 186}, {'facility': 'F7', 'customer': 8, 'cost': 83}, {'facility': 'F7', 'customer': 9, 'cost': 843}, {'facility': 'F7', 'customer': 10, 'cost': 861}, {'facility': 'F7', 'customer': 11, 'cost': 813}, {'facility': 'F7', 'customer': 12, 'cost': 595}, {'facility': 'F7', 'customer': 13, 'cost': 150}, {'facility': 'F7', 'customer': 14, 'cost': 660}, {'facility': 'F7', 'customer': 15, 'cost': 617}, {'facility': 'F7', 'customer': 16, 'cost': 247}, {'facility': 'F7', 'customer': 17, 'cost': 405}, {'facility': 'F7', 'customer': 18, 'cost': 974}, {'facility': 'F7', 'customer': 19, 'cost': 377}, {'facility': 'F8', 'customer': 1, 'cost': 999}, {'facility': 'F8', 'customer': 2, 'cost': 12}, {'facility': 'F8', 'customer': 3, 'cost': 408}, {'facility': 'F8', 'customer': 4, 'cost': 745}, {'facility': 'F8', 'customer': 5, 'cost': 386}, {'facility': 'F8', 'customer': 6, 'cost': 787}, {'facility': 'F8', 'customer': 7, 'cost': 467}, {'facility': 'F8', 'customer': 8, 'cost': 221}, {'facility': 'F8', 'customer': 9, 'cost': 724}, {'facility': 'F8', 'customer': 10, 'cost': 819}, {'facility': 'F8', 'customer': 11, 'cost': 487}, {'facility': 'F8', 'customer': 12, 'cost': 182}, {'facility': 'F8', 'customer': 13, 'cost': 68}, {'facility': 'F8', 'customer': 14, 'cost': 771}, {'facility': 'F8', 'customer': 15, 'cost': 544}, {'facility': 'F8', 'customer': 16, 'cost': 559}, {'facility': 'F8', 'customer': 17, 'cost': 730}, {'facility': 'F8', 'customer': 18, 'cost': 790}, {'facility': 'F8', 'customer': 19, 'cost': 991}], 'objective': 7056.0}","{'selected': ['F4', 'F5', 'F6'], 'assignments': ['F4', 'F4', 'F5', 'F5', 'F6', 'F4', 'F5', 'F6', 'F6', 'F6', 'F6', 'F6', 'F6', 'F6', 'F5', 'F4', 'F5', 'F6', 'F6']}",9,json,1
UFLP,UFLP,"Our team is sketching out where to place repair kiosks along the loop: there are candidate locations and a list of riders who might stop by. The job is to pick which locations to actually install and then assign every single rider to one of those installed kiosks. A good layout minimizes the overall cost — sum up the installation costs for the kiosks that are built plus the extra miles (or cost) riders take to reach their assigned kiosk, and prefer the plan with the smallest total. Kiosks not built are off-limits, and built kiosks can serve unlimited riders. The detailed instance information is below.

{
  ""num_kiosk_locations"": 7,
  ""num_riders"": 17,
  ""kiosks"": [
    {
      ""kiosk_id"": ""F1"",
      ""installation_cost"": 9104
    },
    {
      ""kiosk_id"": ""F2"",
      ""installation_cost"": 6635
    },
    {
      ""kiosk_id"": ""F3"",
      ""installation_cost"": 4246
    },
    {
      ""kiosk_id"": ""F4"",
      ""installation_cost"": 6506
    },
    {
      ""kiosk_id"": ""F5"",
      ""installation_cost"": 2688
    },
    {
      ""kiosk_id"": ""F6"",
      ""installation_cost"": 2974
    },
    {
      ""kiosk_id"": ""F7"",
      ""installation_cost"": 2905
    }
  ],
  ""riders"": [
    {
      ""rider_id"": 0
    },
    {
      ""rider_id"": 1
    },
    {
      ""rider_id"": 2
    },
    {
      ""rider_id"": 3
    },
    {
      ""rider_id"": 4
    },
    {
      ""rider_id"": 5
    },
    {
      ""rider_id"": 6
    },
    {
      ""rider_id"": 7
    },
    {
      ""rider_id"": 8
    },
    {
      ""rider_id"": 9
    },
    {
      ""rider_id"": 10
    },
    {
      ""rider_id"": 11
    },
    {
      ""rider_id"": 12
    },
    {
      ""rider_id"": 13
    },
    {
      ""rider_id"": 14
    },
    {
      ""rider_id"": 15
    },
    {
      ""rider_id"": 16
    }
  ],
  ""detour_distance_ors"": [
    {
      ""kiosk_id"": ""F1"",
      ""rider_id"": 0,
      ""detour_distance_or_cost"": 101
    },
    {
      ""kiosk_id"": ""F1"",
      ""rider_id"": 1,
      ""detour_distance_or_cost"": 705
    },
    {
      ""kiosk_id"": ""F1"",
      ""rider_id"": 2,
      ""detour_distance_or_cost"": 583
    },
    {
      ""kiosk_id"": ""F1"",
      ""rider_id"": 3,
      ""detour_distance_or_cost"": 314
    },
    {
      ""kiosk_id"": ""F1"",
      ""rider_id"": 4,
      ""detour_distance_or_cost"": 228
    },
    {
      ""kiosk_id"": ""F1"",
      ""rider_id"": 5,
      ""detour_distance_or_cost"": 364
    },
    {
      ""kiosk_id"": ""F1"",
      ""rider_id"": 6,
      ""detour_distance_or_cost"": 739
    },
    {
      ""kiosk_id"": ""F1"",
      ""rider_id"": 7,
      ""detour_distance_or_cost"": 296
    },
    {
      ""kiosk_id"": ""F1"",
      ""rider_id"": 8,
      ""detour_distance_or_cost"": 608
    },
    {
      ""kiosk_id"": ""F1"",
      ""rider_id"": 9,
      ""detour_distance_or_cost"": 812
    },
    {
      ""kiosk_id"": ""F1"",
      ""rider_id"": 10,
      ""detour_distance_or_cost"": 399
    },
    {
      ""kiosk_id"": ""F1"",
      ""rider_id"": 11,
      ""detour_distance_or_cost"": 764
    },
    {
      ""kiosk_id"": ""F1"",
      ""rider_id"": 12,
      ""detour_distance_or_cost"": 359
    },
    {
      ""kiosk_id"": ""F1"",
      ""rider_id"": 13,
      ""detour_distance_or_cost"": 637
    },
    {
      ""kiosk_id"": ""F1"",
      ""rider_id"": 14,
      ""detour_distance_or_cost"": 369
    },
    {
      ""kiosk_id"": ""F1"",
      ""rider_id"": 15,
      ""detour_distance_or_cost"": 294
    },
    {
      ""kiosk_id"": ""F1"",
      ""rider_id"": 16,
      ""detour_distance_or_cost"": 385
    },
    {
      ""kiosk_id"": ""F2"",
      ""rider_id"": 0,
      ""detour_distance_or_cost"": 773
    },
    {
      ""kiosk_id"": ""F2"",
      ""rider_id"": 1,
      ""detour_distance_or_cost"": 387
    },
    {
      ""kiosk_id"": ""F2"",
      ""rider_id"": 2,
      ""detour_distance_or_cost"": 389
    },
    {
      ""kiosk_id"": ""F2"",
      ""rider_id"": 3,
      ""detour_distance_or_cost"": 872
    },
    {
      ""kiosk_id"": ""F2"",
      ""rider_id"": 4,
      ""detour_distance_or_cost"": 808
    },
    {
      ""kiosk_id"": ""F2"",
      ""rider_id"": 5,
      ""detour_distance_or_cost"": 712
    },
    {
      ""kiosk_id"": ""F2"",
      ""rider_id"": 6,
      ""detour_distance_or_cost"": 12
    },
    {
      ""kiosk_id"": ""F2"",
      ""rider_id"": 7,
      ""detour_distance_or_cost"": 241
    },
    {
      ""kiosk_id"": ""F2"",
      ""rider_id"": 8,
      ""detour_distance_or_cost"": 582
    },
    {
      ""kiosk_id"": ""F2"",
      ""rider_id"": 9,
      ""detour_distance_or_cost"": 486
    },
    {
      ""kiosk_id"": ""F2"",
      ""rider_id"": 10,
      ""detour_distance_or_cost"": 987
    },
    {
      ""kiosk_id"": ""F2"",
      ""rider_id"": 11,
      ""detour_distance_or_cost"": 607
    },
    {
      ""kiosk_id"": ""F2"",
      ""rider_id"": 12,
      ""detour_distance_or_cost"": 775
    },
    {
      ""kiosk_id"": ""F2"",
      ""rider_id"": 13,
      ""detour_distance_or_cost"": 253
    },
    {
      ""kiosk_id"": ""F2"",
      ""rider_id"": 14,
      ""detour_distance_or_cost"": 986
    },
    {
      ""kiosk_id"": ""F2"",
      ""rider_id"": 15,
      ""detour_distance_or_cost"": 499
    },
    {
      ""kiosk_id"": ""F2"",
      ""rider_id"": 16,
      ""detour_distance_or_cost"": 707
    },
    {
      ""kiosk_id"": ""F3"",
      ""rider_id"": 0,
      ""detour_distance_or_cost"": 194
    },
    {
      ""kiosk_id"": ""F3"",
      ""rider_id"": 1,
      ""detour_distance_or_cost"": 680
    },
    {
      ""kiosk_id"": ""F3"",
      ""rider_id"": 2,
      ""detour_distance_or_cost"": 208
    },
    {
      ""kiosk_id"": ""F3"",
      ""rider_id"": 3,
      ""detour_distance_or_cost"": 368
    },
    {
      ""kiosk_id"": ""F3"",
      ""rider_id"": 4,
      ""detour_distance_or_cost"": 936
    },
    {
      ""kiosk_id"": ""F3"",
      ""rider_id"": 5,
      ""detour_distance_or_cost"": 770
    },
    {
      ""kiosk_id"": ""F3"",
      ""rider_id"": 6,
      ""detour_distance_or_cost"": 500
    },
    {
      ""kiosk_id"": ""F3"",
      ""rider_id"": 7,
      ""detour_distance_or_cost"": 255
    },
    {
      ""kiosk_id"": ""F3"",
      ""rider_id"": 8,
      ""detour_distance_or_cost"": 205
    },
    {
      ""kiosk_id"": ""F3"",
      ""rider_id"": 9,
      ""detour_distance_or_cost"": 951
    },
    {
      ""kiosk_id"": ""F3"",
      ""rider_id"": 10,
      ""detour_distance_or_cost"": 606
    },
    {
      ""kiosk_id"": ""F3"",
      ""rider_id"": 11,
      ""detour_distance_or_cost"": 837
    },
    {
      ""kiosk_id"": ""F3"",
      ""rider_id"": 12,
      ""detour_distance_or_cost"": 846
    },
    {
      ""kiosk_id"": ""F3"",
      ""rider_id"": 13,
      ""detour_distance_or_cost"": 238
    },
    {
      ""kiosk_id"": ""F3"",
      ""rider_id"": 14,
      ""detour_distance_or_cost"": 113
    },
    {
      ""kiosk_id"": ""F3"",
      ""rider_id"": 15,
      ""detour_distance_or_cost"": 24
    },
    {
      ""kiosk_id"": ""F3"",
      ""rider_id"": 16,
      ""detour_distance_or_cost"": 417
    },
    {
      ""kiosk_id"": ""F4"",
      ""rider_id"": 0,
      ""detour_distance_or_cost"": 135
    },
    {
      ""kiosk_id"": ""F4"",
      ""rider_id"": 1,
      ""detour_distance_or_cost"": 879
    },
    {
      ""kiosk_id"": ""F4"",
      ""rider_id"": 2,
      ""detour_distance_or_cost"": 233
    },
    {
      ""kiosk_id"": ""F4"",
      ""rider_id"": 3,
      ""detour_distance_or_cost"": 752
    },
    {
      ""kiosk_id"": ""F4"",
      ""rider_id"": 4,
      ""detour_distance_or_cost"": 142
    },
    {
      ""kiosk_id"": ""F4"",
      ""rider_id"": 5,
      ""detour_distance_or_cost"": 940
    },
    {
      ""kiosk_id"": ""F4"",
      ""rider_id"": 6,
      ""detour_distance_or_cost"": 437
    },
    {
      ""kiosk_id"": ""F4"",
      ""rider_id"": 7,
      ""detour_distance_or_cost"": 371
    },
    {
      ""kiosk_id"": ""F4"",
      ""rider_id"": 8,
      ""detour_distance_or_cost"": 442
    },
    {
      ""kiosk_id"": ""F4"",
      ""rider_id"": 9,
      ""detour_distance_or_cost"": 428
    },
    {
      ""kiosk_id"": ""F4"",
      ""rider_id"": 10,
      ""detour_distance_or_cost"": 218
    },
    {
      ""kiosk_id"": ""F4"",
      ""rider_id"": 11,
      ""detour_distance_or_cost"": 805
    },
    {
      ""kiosk_id"": ""F4"",
      ""rider_id"": 12,
      ""detour_distance_or_cost"": 159
    },
    {
      ""kiosk_id"": ""F4"",
      ""rider_id"": 13,
      ""detour_distance_or_cost"": 492
    },
    {
      ""kiosk_id"": ""F4"",
      ""rider_id"": 14,
      ""detour_distance_or_cost"": 151
    },
    {
      ""kiosk_id"": ""F4"",
      ""rider_id"": 15,
      ""detour_distance_or_cost"": 270
    },
    {
      ""kiosk_id"": ""F4"",
      ""rider_id"": 16,
      ""detour_distance_or_cost"": 228
    },
    {
      ""kiosk_id"": ""F5"",
      ""rider_id"": 0,
      ""detour_distance_or_cost"": 294
    },
    {
      ""kiosk_id"": ""F5"",
      ""rider_id"": 1,
      ""detour_distance_or_cost"": 994
    },
    {
      ""kiosk_id"": ""F5"",
      ""rider_id"": 2,
      ""detour_distance_or_cost"": 685
    },
    {
      ""kiosk_id"": ""F5"",
      ""rider_id"": 3,
      ""detour_distance_or_cost"": 886
    },
    {
      ""kiosk_id"": ""F5"",
      ""rider_id"": 4,
      ""detour_distance_or_cost"": 982
    },
    {
      ""kiosk_id"": ""F5"",
      ""rider_id"": 5,
      ""detour_distance_or_cost"": 293
    },
    {
      ""kiosk_id"": ""F5"",
      ""rider_id"": 6,
      ""detour_distance_or_cost"": 401
    },
    {
      ""kiosk_id"": ""F5"",
      ""rider_id"": 7,
      ""detour_distance_or_cost"": 49
    },
    {
      ""kiosk_id"": ""F5"",
      ""rider_id"": 8,
      ""detour_distance_or_cost"": 336
    },
    {
      ""kiosk_id"": ""F5"",
      ""rider_id"": 9,
      ""detour_distance_or_cost"": 774
    },
    {
      ""kiosk_id"": ""F5"",
      ""rider_id"": 10,
      ""detour_distance_or_cost"": 172
    },
    {
      ""kiosk_id"": ""F5"",
      ""rider_id"": 11,
      ""detour_distance_or_cost"": 754
    },
    {
      ""kiosk_id"": ""F5"",
      ""rider_id"": 12,
      ""detour_distance_or_cost"": 957
    },
    {
      ""kiosk_id"": ""F5"",
      ""rider_id"": 13,
      ""detour_distance_or_cost"": 833
    },
    {
      ""kiosk_id"": ""F5"",
      ""rider_id"": 14,
      ""detour_distance_or_cost"": 771
    },
    {
      ""kiosk_id"": ""F5"",
      ""rider_id"": 15,
      ""detour_distance_or_cost"": 581
    },
    {
      ""kiosk_id"": ""F5"",
      ""rider_id"": 16,
      ""detour_distance_or_cost"": 219
    },
    {
      ""kiosk_id"": ""F6"",
      ""rider_id"": 0,
      ""detour_distance_or_cost"": 775
    },
    {
      ""kiosk_id"": ""F6"",
      ""rider_id"": 1,
      ""detour_distance_or_cost"": 844
    },
    {
      ""kiosk_id"": ""F6"",
      ""rider_id"": 2,
      ""detour_distance_or_cost"": 837
    },
    {
      ""kiosk_id"": ""F6"",
      ""rider_id"": 3,
      ""detour_distance_or_cost"": 251
    },
    {
      ""kiosk_id"": ""F6"",
      ""rider_id"": 4,
      ""detour_distance_or_cost"": 699
    },
    {
      ""kiosk_id"": ""F6"",
      ""rider_id"": 5,
      ""detour_distance_or_cost"": 65
    },
    {
      ""kiosk_id"": ""F6"",
      ""rider_id"": 6,
      ""detour_distance_or_cost"": 904
    },
    {
      ""kiosk_id"": ""F6"",
      ""rider_id"": 7,
      ""detour_distance_or_cost"": 239
    },
    {
      ""kiosk_id"": ""F6"",
      ""rider_id"": 8,
      ""detour_distance_or_cost"": 463
    },
    {
      ""kiosk_id"": ""F6"",
      ""rider_id"": 9,
      ""detour_distance_or_cost"": 542
    },
    {
      ""kiosk_id"": ""F6"",
      ""rider_id"": 10,
      ""detour_distance_or_cost"": 506
    },
    {
      ""kiosk_id"": ""F6"",
      ""rider_id"": 11,
      ""detour_distance_or_cost"": 824
    },
    {
      ""kiosk_id"": ""F6"",
      ""rider_id"": 12,
      ""detour_distance_or_cost"": 458
    },
    {
      ""kiosk_id"": ""F6"",
      ""rider_id"": 13,
      ""detour_distance_or_cost"": 501
    },
    {
      ""kiosk_id"": ""F6"",
      ""rider_id"": 14,
      ""detour_distance_or_cost"": 151
    },
    {
      ""kiosk_id"": ""F6"",
      ""rider_id"": 15,
      ""detour_distance_or_cost"": 284
    },
    {
      ""kiosk_id"": ""F6"",
      ""rider_id"": 16,
      ""detour_distance_or_cost"": 376
    },
    {
      ""kiosk_id"": ""F7"",
      ""rider_id"": 0,
      ""detour_distance_or_cost"": 307
    },
    {
      ""kiosk_id"": ""F7"",
      ""rider_id"": 1,
      ""detour_distance_or_cost"": 929
    },
    {
      ""kiosk_id"": ""F7"",
      ""rider_id"": 2,
      ""detour_distance_or_cost"": 872
    },
    {
      ""kiosk_id"": ""F7"",
      ""rider_id"": 3,
      ""detour_distance_or_cost"": 930
    },
    {
      ""kiosk_id"": ""F7"",
      ""rider_id"": 4,
      ""detour_distance_or_cost"": 135
    },
    {
      ""kiosk_id"": ""F7"",
      ""rider_id"": 5,
      ""detour_distance_or_cost"": 424
    },
    {
      ""kiosk_id"": ""F7"",
      ""rider_id"": 6,
      ""detour_distance_or_cost"": 297
    },
    {
      ""kiosk_id"": ""F7"",
      ""rider_id"": 7,
      ""detour_distance_or_cost"": 985
    },
    {
      ""kiosk_id"": ""F7"",
      ""rider_id"": 8,
      ""detour_distance_or_cost"": 213
    },
    {
      ""kiosk_id"": ""F7"",
      ""rider_id"": 9,
      ""detour_distance_or_cost"": 455
    },
    {
      ""kiosk_id"": ""F7"",
      ""rider_id"": 10,
      ""detour_distance_or_cost"": 488
    },
    {
      ""kiosk_id"": ""F7"",
      ""rider_id"": 11,
      ""detour_distance_or_cost"": 237
    },
    {
      ""kiosk_id"": ""F7"",
      ""rider_id"": 12,
      ""detour_distance_or_cost"": 166
    },
    {
      ""kiosk_id"": ""F7"",
      ""rider_id"": 13,
      ""detour_distance_or_cost"": 384
    },
    {
      ""kiosk_id"": ""F7"",
      ""rider_id"": 14,
      ""detour_distance_or_cost"": 507
    },
    {
      ""kiosk_id"": ""F7"",
      ""rider_id"": 15,
      ""detour_distance_or_cost"": 629
    },
    {
      ""kiosk_id"": ""F7"",
      ""rider_id"": 16,
      ""detour_distance_or_cost"": 105
    }
  ]
}

You can just send the plan back in a small JSON file like this so it's easy to check and parse.

{
  ""solution"": {
    ""selected"": [<site_to_open>, <site_to_open>, ...],
    ""assignments"": [<assigned_site>, <assigned_site>, ...]
  }
}

Think of it like a simple form: ""selected"" is the list of kiosk locations you choose to build, and ""assignments"" tells, for each rider (in the same order they were listed in the input), which opened kiosk they will use. This is just the expected shape — not the actual answer — so fill in the real IDs from the instance when you submit.

Please make sure to use the exact identifiers from the input — do not rename them or invent new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'opening_costs': [9104, 6635, 4246, 6506, 2688, 2974, 2905], 'connection_costs': [[101, 705, 583, 314, 228, 364, 739, 296, 608, 812, 399, 764, 359, 637, 369, 294, 385], [773, 387, 389, 872, 808, 712, 12, 241, 582, 486, 987, 607, 775, 253, 986, 499, 707], [194, 680, 208, 368, 936, 770, 500, 255, 205, 951, 606, 837, 846, 238, 113, 24, 417], [135, 879, 233, 752, 142, 940, 437, 371, 442, 428, 218, 805, 159, 492, 151, 270, 228], [294, 994, 685, 886, 982, 293, 401, 49, 336, 774, 172, 754, 957, 833, 771, 581, 219], [775, 844, 837, 251, 699, 65, 904, 239, 463, 542, 506, 824, 458, 501, 151, 284, 376], [307, 929, 872, 930, 135, 424, 297, 985, 213, 455, 488, 237, 166, 384, 507, 629, 105]], 'objective': 10968.0}","{'open_facilities': [6], 'assignments': [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]}",10968.0,"{'problem_type': 'UFLP', 'num_facilities': 7, 'num_customers': 17, 'facilities': [{'id': 'F1', 'opening_cost': 9104}, {'id': 'F2', 'opening_cost': 6635}, {'id': 'F3', 'opening_cost': 4246}, {'id': 'F4', 'opening_cost': 6506}, {'id': 'F5', 'opening_cost': 2688}, {'id': 'F6', 'opening_cost': 2974}, {'id': 'F7', 'opening_cost': 2905}], 'customers': [{'id': 0}, {'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}, {'id': 16}], 'connection_costs': [{'facility': 'F1', 'customer': 0, 'cost': 101}, {'facility': 'F1', 'customer': 1, 'cost': 705}, {'facility': 'F1', 'customer': 2, 'cost': 583}, {'facility': 'F1', 'customer': 3, 'cost': 314}, {'facility': 'F1', 'customer': 4, 'cost': 228}, {'facility': 'F1', 'customer': 5, 'cost': 364}, {'facility': 'F1', 'customer': 6, 'cost': 739}, {'facility': 'F1', 'customer': 7, 'cost': 296}, {'facility': 'F1', 'customer': 8, 'cost': 608}, {'facility': 'F1', 'customer': 9, 'cost': 812}, {'facility': 'F1', 'customer': 10, 'cost': 399}, {'facility': 'F1', 'customer': 11, 'cost': 764}, {'facility': 'F1', 'customer': 12, 'cost': 359}, {'facility': 'F1', 'customer': 13, 'cost': 637}, {'facility': 'F1', 'customer': 14, 'cost': 369}, {'facility': 'F1', 'customer': 15, 'cost': 294}, {'facility': 'F1', 'customer': 16, 'cost': 385}, {'facility': 'F2', 'customer': 0, 'cost': 773}, {'facility': 'F2', 'customer': 1, 'cost': 387}, {'facility': 'F2', 'customer': 2, 'cost': 389}, {'facility': 'F2', 'customer': 3, 'cost': 872}, {'facility': 'F2', 'customer': 4, 'cost': 808}, {'facility': 'F2', 'customer': 5, 'cost': 712}, {'facility': 'F2', 'customer': 6, 'cost': 12}, {'facility': 'F2', 'customer': 7, 'cost': 241}, {'facility': 'F2', 'customer': 8, 'cost': 582}, {'facility': 'F2', 'customer': 9, 'cost': 486}, {'facility': 'F2', 'customer': 10, 'cost': 987}, {'facility': 'F2', 'customer': 11, 'cost': 607}, {'facility': 'F2', 'customer': 12, 'cost': 775}, {'facility': 'F2', 'customer': 13, 'cost': 253}, {'facility': 'F2', 'customer': 14, 'cost': 986}, {'facility': 'F2', 'customer': 15, 'cost': 499}, {'facility': 'F2', 'customer': 16, 'cost': 707}, {'facility': 'F3', 'customer': 0, 'cost': 194}, {'facility': 'F3', 'customer': 1, 'cost': 680}, {'facility': 'F3', 'customer': 2, 'cost': 208}, {'facility': 'F3', 'customer': 3, 'cost': 368}, {'facility': 'F3', 'customer': 4, 'cost': 936}, {'facility': 'F3', 'customer': 5, 'cost': 770}, {'facility': 'F3', 'customer': 6, 'cost': 500}, {'facility': 'F3', 'customer': 7, 'cost': 255}, {'facility': 'F3', 'customer': 8, 'cost': 205}, {'facility': 'F3', 'customer': 9, 'cost': 951}, {'facility': 'F3', 'customer': 10, 'cost': 606}, {'facility': 'F3', 'customer': 11, 'cost': 837}, {'facility': 'F3', 'customer': 12, 'cost': 846}, {'facility': 'F3', 'customer': 13, 'cost': 238}, {'facility': 'F3', 'customer': 14, 'cost': 113}, {'facility': 'F3', 'customer': 15, 'cost': 24}, {'facility': 'F3', 'customer': 16, 'cost': 417}, {'facility': 'F4', 'customer': 0, 'cost': 135}, {'facility': 'F4', 'customer': 1, 'cost': 879}, {'facility': 'F4', 'customer': 2, 'cost': 233}, {'facility': 'F4', 'customer': 3, 'cost': 752}, {'facility': 'F4', 'customer': 4, 'cost': 142}, {'facility': 'F4', 'customer': 5, 'cost': 940}, {'facility': 'F4', 'customer': 6, 'cost': 437}, {'facility': 'F4', 'customer': 7, 'cost': 371}, {'facility': 'F4', 'customer': 8, 'cost': 442}, {'facility': 'F4', 'customer': 9, 'cost': 428}, {'facility': 'F4', 'customer': 10, 'cost': 218}, {'facility': 'F4', 'customer': 11, 'cost': 805}, {'facility': 'F4', 'customer': 12, 'cost': 159}, {'facility': 'F4', 'customer': 13, 'cost': 492}, {'facility': 'F4', 'customer': 14, 'cost': 151}, {'facility': 'F4', 'customer': 15, 'cost': 270}, {'facility': 'F4', 'customer': 16, 'cost': 228}, {'facility': 'F5', 'customer': 0, 'cost': 294}, {'facility': 'F5', 'customer': 1, 'cost': 994}, {'facility': 'F5', 'customer': 2, 'cost': 685}, {'facility': 'F5', 'customer': 3, 'cost': 886}, {'facility': 'F5', 'customer': 4, 'cost': 982}, {'facility': 'F5', 'customer': 5, 'cost': 293}, {'facility': 'F5', 'customer': 6, 'cost': 401}, {'facility': 'F5', 'customer': 7, 'cost': 49}, {'facility': 'F5', 'customer': 8, 'cost': 336}, {'facility': 'F5', 'customer': 9, 'cost': 774}, {'facility': 'F5', 'customer': 10, 'cost': 172}, {'facility': 'F5', 'customer': 11, 'cost': 754}, {'facility': 'F5', 'customer': 12, 'cost': 957}, {'facility': 'F5', 'customer': 13, 'cost': 833}, {'facility': 'F5', 'customer': 14, 'cost': 771}, {'facility': 'F5', 'customer': 15, 'cost': 581}, {'facility': 'F5', 'customer': 16, 'cost': 219}, {'facility': 'F6', 'customer': 0, 'cost': 775}, {'facility': 'F6', 'customer': 1, 'cost': 844}, {'facility': 'F6', 'customer': 2, 'cost': 837}, {'facility': 'F6', 'customer': 3, 'cost': 251}, {'facility': 'F6', 'customer': 4, 'cost': 699}, {'facility': 'F6', 'customer': 5, 'cost': 65}, {'facility': 'F6', 'customer': 6, 'cost': 904}, {'facility': 'F6', 'customer': 7, 'cost': 239}, {'facility': 'F6', 'customer': 8, 'cost': 463}, {'facility': 'F6', 'customer': 9, 'cost': 542}, {'facility': 'F6', 'customer': 10, 'cost': 506}, {'facility': 'F6', 'customer': 11, 'cost': 824}, {'facility': 'F6', 'customer': 12, 'cost': 458}, {'facility': 'F6', 'customer': 13, 'cost': 501}, {'facility': 'F6', 'customer': 14, 'cost': 151}, {'facility': 'F6', 'customer': 15, 'cost': 284}, {'facility': 'F6', 'customer': 16, 'cost': 376}, {'facility': 'F7', 'customer': 0, 'cost': 307}, {'facility': 'F7', 'customer': 1, 'cost': 929}, {'facility': 'F7', 'customer': 2, 'cost': 872}, {'facility': 'F7', 'customer': 3, 'cost': 930}, {'facility': 'F7', 'customer': 4, 'cost': 135}, {'facility': 'F7', 'customer': 5, 'cost': 424}, {'facility': 'F7', 'customer': 6, 'cost': 297}, {'facility': 'F7', 'customer': 7, 'cost': 985}, {'facility': 'F7', 'customer': 8, 'cost': 213}, {'facility': 'F7', 'customer': 9, 'cost': 455}, {'facility': 'F7', 'customer': 10, 'cost': 488}, {'facility': 'F7', 'customer': 11, 'cost': 237}, {'facility': 'F7', 'customer': 12, 'cost': 166}, {'facility': 'F7', 'customer': 13, 'cost': 384}, {'facility': 'F7', 'customer': 14, 'cost': 507}, {'facility': 'F7', 'customer': 15, 'cost': 629}, {'facility': 'F7', 'customer': 16, 'cost': 105}], 'objective': 10968.0}","{'selected': ['F7'], 'assignments': ['F7', 'F7', 'F7', 'F7', 'F7', 'F7', 'F7', 'F7', 'F7', 'F7', 'F7', 'F7', 'F7', 'F7', 'F7', 'F7', 'F7']}",10,json,0
UFLP,UFLP,"Someone on the relief team has to decide which supply caches to put resources into and which stocked cache each household should use. The rule is simple: each household must be assigned to one stocked cache only, and they can’t go to caches we didn’t stock. What we’re trying to do, practically, is keep the total expense down — that total is just the stocking bills for the caches we pick plus the retrieval distance or travel cost for every household, all added together. The candidate locations, costs, and household distances are shown below.

There are 8 caches and 20 households in this instance.

**Caches**
| cache_id | stocking_cost |
|---|---|
| F1 | 2000 |
| F2 | 2000 |
| F3 | 2000 |
| F4 | 2000 |
| F5 | 2000 |
| F6 | 2000 |
| F7 | 2000 |
| F8 | 2000 |

**Households**
| household_id |
|---|
| A |
| B |
| C |
| D |
| E |
| F |
| G |
| H |
| I |
| J |
| K |
| L |
| M |
| N |
| O |
| P |
| Q |
| R |
| S |
| T |

**Travel Cost**
| cache_id | household_id | travel_cost |
|---|---|---|
| F1 | A | 335 |
| F1 | B | 471 |
| F1 | C | 717 |
| F1 | D | 361 |
| F1 | E | 160 |
| F1 | F | 497 |
| F1 | G | 959 |
| F1 | H | 351 |
| F1 | I | 235 |
| F1 | J | 521 |
| F1 | K | 434 |
| F1 | L | 434 |
| F1 | M | 831 |
| F1 | N | 926 |
| F1 | O | 287 |
| F1 | P | 991 |
| F1 | Q | 193 |
| F1 | R | 897 |
| F1 | S | 905 |
| F1 | T | 208 |
| F2 | A | 566 |
| F2 | B | 706 |
| F2 | C | 174 |
| F2 | D | 58 |
| F2 | E | 906 |
| F2 | F | 406 |
| F2 | G | 870 |
| F2 | H | 711 |
| F2 | I | 59 |
| F2 | J | 432 |
| F2 | K | 524 |
| F2 | L | 694 |
| F2 | M | 637 |
| F2 | N | 578 |
| F2 | O | 996 |
| F2 | P | 953 |
| F2 | Q | 414 |
| F2 | R | 108 |
| F2 | S | 695 |
| F2 | T | 364 |
| F3 | A | 590 |
| F3 | B | 315 |
| F3 | C | 530 |
| F3 | D | 524 |
| F3 | E | 288 |
| F3 | F | 851 |
| F3 | G | 917 |
| F3 | H | 84 |
| F3 | I | 920 |
| F3 | J | 565 |
| F3 | K | 189 |
| F3 | L | 367 |
| F3 | M | 895 |
| F3 | N | 677 |
| F3 | O | 292 |
| F3 | P | 290 |
| F3 | Q | 684 |
| F3 | R | 972 |
| F3 | S | 207 |
| F3 | T | 846 |
| F4 | A | 652 |
| F4 | B | 315 |
| F4 | C | 789 |
| F4 | D | 392 |
| F4 | E | 24 |
| F4 | F | 302 |
| F4 | G | 590 |
| F4 | H | 631 |
| F4 | I | 373 |
| F4 | J | 203 |
| F4 | K | 18 |
| F4 | L | 796 |
| F4 | M | 630 |
| F4 | N | 91 |
| F4 | O | 506 |
| F4 | P | 916 |
| F4 | Q | 278 |
| F4 | R | 557 |
| F4 | S | 56 |
| F4 | T | 184 |
| F5 | A | 796 |
| F5 | B | 925 |
| F5 | C | 280 |
| F5 | D | 384 |
| F5 | E | 367 |
| F5 | F | 215 |
| F5 | G | 795 |
| F5 | H | 667 |
| F5 | I | 633 |
| F5 | J | 223 |
| F5 | K | 726 |
| F5 | L | 202 |
| F5 | M | 322 |
| F5 | N | 691 |
| F5 | O | 37 |
| F5 | P | 582 |
| F5 | Q | 582 |
| F5 | R | 920 |
| F5 | S | 433 |
| F5 | T | 492 |
| F6 | A | 887 |
| F6 | B | 625 |
| F6 | C | 798 |
| F6 | D | 160 |
| F6 | E | 479 |
| F6 | F | 266 |
| F6 | G | 918 |
| F6 | H | 663 |
| F6 | I | 98 |
| F6 | J | 772 |
| F6 | K | 850 |
| F6 | L | 680 |
| F6 | M | 58 |
| F6 | N | 111 |
| F6 | O | 616 |
| F6 | P | 167 |
| F6 | Q | 242 |
| F6 | R | 215 |
| F6 | S | 307 |
| F6 | T | 710 |
| F7 | A | 565 |
| F7 | B | 748 |
| F7 | C | 180 |
| F7 | D | 509 |
| F7 | E | 658 |
| F7 | F | 507 |
| F7 | G | 468 |
| F7 | H | 733 |
| F7 | I | 261 |
| F7 | J | 659 |
| F7 | K | 578 |
| F7 | L | 634 |
| F7 | M | 628 |
| F7 | N | 919 |
| F7 | O | 997 |
| F7 | P | 610 |
| F7 | Q | 252 |
| F7 | R | 954 |
| F7 | S | 283 |
| F7 | T | 332 |
| F8 | A | 632 |
| F8 | B | 610 |
| F8 | C | 991 |
| F8 | D | 414 |
| F8 | E | 49 |
| F8 | F | 358 |
| F8 | G | 436 |
| F8 | H | 150 |
| F8 | I | 494 |
| F8 | J | 32 |
| F8 | K | 664 |
| F8 | L | 533 |
| F8 | M | 118 |
| F8 | N | 17 |
| F8 | O | 136 |
| F8 | P | 45 |
| F8 | Q | 791 |
| F8 | R | 858 |
| F8 | S | 846 |
| F8 | T | 915 |

If you want to hand me the plan, just follow this simple JSON shape so I can read it automatically — nothing fancy, just a small form to fill in.

{
  ""solution"": {
    ""selected"": [<cache_to_stock>, <cache_to_stock>, ...],
    ""assignments"": [<chosen_stocked_cache>, <chosen_stocked_cache>, ...]
  }
}

Think of ""selected"" as the list of caches we decide to stock, and ""assignments"" as, for each household in the same order as the input, which stocked cache they will use. Super casual: ""selected"" = which caches we put supplies into; ""assignments"" = which stocked cache each household goes to.

This JSON is just a sketch of the shape I expect in the answer — not the actual plan itself.

Please use the exact identifiers from the instance input when you fill this in — no renaming and no new labels. 
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'opening_costs': [2000, 2000, 2000, 2000, 2000, 2000, 2000, 2000], 'connection_costs': [[335, 471, 717, 361, 160, 497, 959, 351, 235, 521, 434, 434, 831, 926, 287, 991, 193, 897, 905, 208], [566, 706, 174, 58, 906, 406, 870, 711, 59, 432, 524, 694, 637, 578, 996, 953, 414, 108, 695, 364], [590, 315, 530, 524, 288, 851, 917, 84, 920, 565, 189, 367, 895, 677, 292, 290, 684, 972, 207, 846], [652, 315, 789, 392, 24, 302, 590, 631, 373, 203, 18, 796, 630, 91, 506, 916, 278, 557, 56, 184], [796, 925, 280, 384, 367, 215, 795, 667, 633, 223, 726, 202, 322, 691, 37, 582, 582, 920, 433, 492], [887, 625, 798, 160, 479, 266, 918, 663, 98, 772, 850, 680, 58, 111, 616, 167, 242, 215, 307, 710], [565, 748, 180, 509, 658, 507, 468, 733, 261, 659, 578, 634, 628, 919, 997, 610, 252, 954, 283, 332], [632, 610, 991, 414, 49, 358, 436, 150, 494, 32, 664, 533, 118, 17, 136, 45, 791, 858, 846, 915]], 'objective': 9387.0}","{'open_facilities': [3, 7], 'assignments': [7, 3, 3, 3, 3, 3, 7, 7, 3, 7, 3, 7, 7, 7, 7, 7, 3, 3, 3, 3]}",9387.0,"{'problem_type': 'UFLP', 'num_facilities': 8, 'num_customers': 20, 'facilities': [{'id': 'F1', 'opening_cost': 2000}, {'id': 'F2', 'opening_cost': 2000}, {'id': 'F3', 'opening_cost': 2000}, {'id': 'F4', 'opening_cost': 2000}, {'id': 'F5', 'opening_cost': 2000}, {'id': 'F6', 'opening_cost': 2000}, {'id': 'F7', 'opening_cost': 2000}, {'id': 'F8', 'opening_cost': 2000}], 'customers': [{'id': 'A'}, {'id': 'B'}, {'id': 'C'}, {'id': 'D'}, {'id': 'E'}, {'id': 'F'}, {'id': 'G'}, {'id': 'H'}, {'id': 'I'}, {'id': 'J'}, {'id': 'K'}, {'id': 'L'}, {'id': 'M'}, {'id': 'N'}, {'id': 'O'}, {'id': 'P'}, {'id': 'Q'}, {'id': 'R'}, {'id': 'S'}, {'id': 'T'}], 'connection_costs': [{'facility': 'F1', 'customer': 'A', 'cost': 335}, {'facility': 'F1', 'customer': 'B', 'cost': 471}, {'facility': 'F1', 'customer': 'C', 'cost': 717}, {'facility': 'F1', 'customer': 'D', 'cost': 361}, {'facility': 'F1', 'customer': 'E', 'cost': 160}, {'facility': 'F1', 'customer': 'F', 'cost': 497}, {'facility': 'F1', 'customer': 'G', 'cost': 959}, {'facility': 'F1', 'customer': 'H', 'cost': 351}, {'facility': 'F1', 'customer': 'I', 'cost': 235}, {'facility': 'F1', 'customer': 'J', 'cost': 521}, {'facility': 'F1', 'customer': 'K', 'cost': 434}, {'facility': 'F1', 'customer': 'L', 'cost': 434}, {'facility': 'F1', 'customer': 'M', 'cost': 831}, {'facility': 'F1', 'customer': 'N', 'cost': 926}, {'facility': 'F1', 'customer': 'O', 'cost': 287}, {'facility': 'F1', 'customer': 'P', 'cost': 991}, {'facility': 'F1', 'customer': 'Q', 'cost': 193}, {'facility': 'F1', 'customer': 'R', 'cost': 897}, {'facility': 'F1', 'customer': 'S', 'cost': 905}, {'facility': 'F1', 'customer': 'T', 'cost': 208}, {'facility': 'F2', 'customer': 'A', 'cost': 566}, {'facility': 'F2', 'customer': 'B', 'cost': 706}, {'facility': 'F2', 'customer': 'C', 'cost': 174}, {'facility': 'F2', 'customer': 'D', 'cost': 58}, {'facility': 'F2', 'customer': 'E', 'cost': 906}, {'facility': 'F2', 'customer': 'F', 'cost': 406}, {'facility': 'F2', 'customer': 'G', 'cost': 870}, {'facility': 'F2', 'customer': 'H', 'cost': 711}, {'facility': 'F2', 'customer': 'I', 'cost': 59}, {'facility': 'F2', 'customer': 'J', 'cost': 432}, {'facility': 'F2', 'customer': 'K', 'cost': 524}, {'facility': 'F2', 'customer': 'L', 'cost': 694}, {'facility': 'F2', 'customer': 'M', 'cost': 637}, {'facility': 'F2', 'customer': 'N', 'cost': 578}, {'facility': 'F2', 'customer': 'O', 'cost': 996}, {'facility': 'F2', 'customer': 'P', 'cost': 953}, {'facility': 'F2', 'customer': 'Q', 'cost': 414}, {'facility': 'F2', 'customer': 'R', 'cost': 108}, {'facility': 'F2', 'customer': 'S', 'cost': 695}, {'facility': 'F2', 'customer': 'T', 'cost': 364}, {'facility': 'F3', 'customer': 'A', 'cost': 590}, {'facility': 'F3', 'customer': 'B', 'cost': 315}, {'facility': 'F3', 'customer': 'C', 'cost': 530}, {'facility': 'F3', 'customer': 'D', 'cost': 524}, {'facility': 'F3', 'customer': 'E', 'cost': 288}, {'facility': 'F3', 'customer': 'F', 'cost': 851}, {'facility': 'F3', 'customer': 'G', 'cost': 917}, {'facility': 'F3', 'customer': 'H', 'cost': 84}, {'facility': 'F3', 'customer': 'I', 'cost': 920}, {'facility': 'F3', 'customer': 'J', 'cost': 565}, {'facility': 'F3', 'customer': 'K', 'cost': 189}, {'facility': 'F3', 'customer': 'L', 'cost': 367}, {'facility': 'F3', 'customer': 'M', 'cost': 895}, {'facility': 'F3', 'customer': 'N', 'cost': 677}, {'facility': 'F3', 'customer': 'O', 'cost': 292}, {'facility': 'F3', 'customer': 'P', 'cost': 290}, {'facility': 'F3', 'customer': 'Q', 'cost': 684}, {'facility': 'F3', 'customer': 'R', 'cost': 972}, {'facility': 'F3', 'customer': 'S', 'cost': 207}, {'facility': 'F3', 'customer': 'T', 'cost': 846}, {'facility': 'F4', 'customer': 'A', 'cost': 652}, {'facility': 'F4', 'customer': 'B', 'cost': 315}, {'facility': 'F4', 'customer': 'C', 'cost': 789}, {'facility': 'F4', 'customer': 'D', 'cost': 392}, {'facility': 'F4', 'customer': 'E', 'cost': 24}, {'facility': 'F4', 'customer': 'F', 'cost': 302}, {'facility': 'F4', 'customer': 'G', 'cost': 590}, {'facility': 'F4', 'customer': 'H', 'cost': 631}, {'facility': 'F4', 'customer': 'I', 'cost': 373}, {'facility': 'F4', 'customer': 'J', 'cost': 203}, {'facility': 'F4', 'customer': 'K', 'cost': 18}, {'facility': 'F4', 'customer': 'L', 'cost': 796}, {'facility': 'F4', 'customer': 'M', 'cost': 630}, {'facility': 'F4', 'customer': 'N', 'cost': 91}, {'facility': 'F4', 'customer': 'O', 'cost': 506}, {'facility': 'F4', 'customer': 'P', 'cost': 916}, {'facility': 'F4', 'customer': 'Q', 'cost': 278}, {'facility': 'F4', 'customer': 'R', 'cost': 557}, {'facility': 'F4', 'customer': 'S', 'cost': 56}, {'facility': 'F4', 'customer': 'T', 'cost': 184}, {'facility': 'F5', 'customer': 'A', 'cost': 796}, {'facility': 'F5', 'customer': 'B', 'cost': 925}, {'facility': 'F5', 'customer': 'C', 'cost': 280}, {'facility': 'F5', 'customer': 'D', 'cost': 384}, {'facility': 'F5', 'customer': 'E', 'cost': 367}, {'facility': 'F5', 'customer': 'F', 'cost': 215}, {'facility': 'F5', 'customer': 'G', 'cost': 795}, {'facility': 'F5', 'customer': 'H', 'cost': 667}, {'facility': 'F5', 'customer': 'I', 'cost': 633}, {'facility': 'F5', 'customer': 'J', 'cost': 223}, {'facility': 'F5', 'customer': 'K', 'cost': 726}, {'facility': 'F5', 'customer': 'L', 'cost': 202}, {'facility': 'F5', 'customer': 'M', 'cost': 322}, {'facility': 'F5', 'customer': 'N', 'cost': 691}, {'facility': 'F5', 'customer': 'O', 'cost': 37}, {'facility': 'F5', 'customer': 'P', 'cost': 582}, {'facility': 'F5', 'customer': 'Q', 'cost': 582}, {'facility': 'F5', 'customer': 'R', 'cost': 920}, {'facility': 'F5', 'customer': 'S', 'cost': 433}, {'facility': 'F5', 'customer': 'T', 'cost': 492}, {'facility': 'F6', 'customer': 'A', 'cost': 887}, {'facility': 'F6', 'customer': 'B', 'cost': 625}, {'facility': 'F6', 'customer': 'C', 'cost': 798}, {'facility': 'F6', 'customer': 'D', 'cost': 160}, {'facility': 'F6', 'customer': 'E', 'cost': 479}, {'facility': 'F6', 'customer': 'F', 'cost': 266}, {'facility': 'F6', 'customer': 'G', 'cost': 918}, {'facility': 'F6', 'customer': 'H', 'cost': 663}, {'facility': 'F6', 'customer': 'I', 'cost': 98}, {'facility': 'F6', 'customer': 'J', 'cost': 772}, {'facility': 'F6', 'customer': 'K', 'cost': 850}, {'facility': 'F6', 'customer': 'L', 'cost': 680}, {'facility': 'F6', 'customer': 'M', 'cost': 58}, {'facility': 'F6', 'customer': 'N', 'cost': 111}, {'facility': 'F6', 'customer': 'O', 'cost': 616}, {'facility': 'F6', 'customer': 'P', 'cost': 167}, {'facility': 'F6', 'customer': 'Q', 'cost': 242}, {'facility': 'F6', 'customer': 'R', 'cost': 215}, {'facility': 'F6', 'customer': 'S', 'cost': 307}, {'facility': 'F6', 'customer': 'T', 'cost': 710}, {'facility': 'F7', 'customer': 'A', 'cost': 565}, {'facility': 'F7', 'customer': 'B', 'cost': 748}, {'facility': 'F7', 'customer': 'C', 'cost': 180}, {'facility': 'F7', 'customer': 'D', 'cost': 509}, {'facility': 'F7', 'customer': 'E', 'cost': 658}, {'facility': 'F7', 'customer': 'F', 'cost': 507}, {'facility': 'F7', 'customer': 'G', 'cost': 468}, {'facility': 'F7', 'customer': 'H', 'cost': 733}, {'facility': 'F7', 'customer': 'I', 'cost': 261}, {'facility': 'F7', 'customer': 'J', 'cost': 659}, {'facility': 'F7', 'customer': 'K', 'cost': 578}, {'facility': 'F7', 'customer': 'L', 'cost': 634}, {'facility': 'F7', 'customer': 'M', 'cost': 628}, {'facility': 'F7', 'customer': 'N', 'cost': 919}, {'facility': 'F7', 'customer': 'O', 'cost': 997}, {'facility': 'F7', 'customer': 'P', 'cost': 610}, {'facility': 'F7', 'customer': 'Q', 'cost': 252}, {'facility': 'F7', 'customer': 'R', 'cost': 954}, {'facility': 'F7', 'customer': 'S', 'cost': 283}, {'facility': 'F7', 'customer': 'T', 'cost': 332}, {'facility': 'F8', 'customer': 'A', 'cost': 632}, {'facility': 'F8', 'customer': 'B', 'cost': 610}, {'facility': 'F8', 'customer': 'C', 'cost': 991}, {'facility': 'F8', 'customer': 'D', 'cost': 414}, {'facility': 'F8', 'customer': 'E', 'cost': 49}, {'facility': 'F8', 'customer': 'F', 'cost': 358}, {'facility': 'F8', 'customer': 'G', 'cost': 436}, {'facility': 'F8', 'customer': 'H', 'cost': 150}, {'facility': 'F8', 'customer': 'I', 'cost': 494}, {'facility': 'F8', 'customer': 'J', 'cost': 32}, {'facility': 'F8', 'customer': 'K', 'cost': 664}, {'facility': 'F8', 'customer': 'L', 'cost': 533}, {'facility': 'F8', 'customer': 'M', 'cost': 118}, {'facility': 'F8', 'customer': 'N', 'cost': 17}, {'facility': 'F8', 'customer': 'O', 'cost': 136}, {'facility': 'F8', 'customer': 'P', 'cost': 45}, {'facility': 'F8', 'customer': 'Q', 'cost': 791}, {'facility': 'F8', 'customer': 'R', 'cost': 858}, {'facility': 'F8', 'customer': 'S', 'cost': 846}, {'facility': 'F8', 'customer': 'T', 'cost': 915}], 'objective': 9387.0}","{'selected': ['F4', 'F8'], 'assignments': ['F8', 'F4', 'F4', 'F4', 'F4', 'F4', 'F8', 'F8', 'F4', 'F8', 'F4', 'F8', 'F8', 'F8', 'F8', 'F8', 'F4', 'F4', 'F4', 'F4']}",11,markdown_table,names
UFLP,UFLP,"At the festival gates the problem is practical: decide which vendor stalls to lease and assign every artisan to one leased stall. Leasing a stall costs money, only leased stalls can be used, and each artisan needs a single stall (no doubles, no omissions). Festival-goers will head to a single vendor, and the final tally is the rent paid for the leased stalls plus the total walking distance of all attendees to their vendor — the task is to make that tally as small as it can be. Concrete data follows below.

# num_candidate_stalls=9
# num_attendees=19
# STALLS
stall_id,stall_rent
F1,2000
F2,2000
F3,2000
F4,2000
F5,2000
F6,2000
F7,2000
F8,2000
F9,2000
# ATTENDEES
attendee_id
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
# WALKING_DISTANCES
stall_id,attendee_id,walking_distance_cost
F1,0,584
F1,1,99
F1,2,203
F1,3,107
F1,4,936
F1,5,128
F1,6,783
F1,7,933
F1,8,990
F1,9,321
F1,10,595
F1,11,194
F1,12,895
F1,13,665
F1,14,334
F1,15,607
F1,16,242
F1,17,465
F1,18,539
F2,0,534
F2,1,463
F2,2,801
F2,3,884
F2,4,863
F2,5,25
F2,6,819
F2,7,327
F2,8,661
F2,9,783
F2,10,7
F2,11,847
F2,12,30
F2,13,797
F2,14,39
F2,15,774
F2,16,579
F2,17,341
F2,18,852
F3,0,438
F3,1,303
F3,2,437
F3,3,170
F3,4,430
F3,5,837
F3,6,916
F3,7,188
F3,8,574
F3,9,738
F3,10,251
F3,11,556
F3,12,615
F3,13,173
F3,14,896
F3,15,660
F3,16,648
F3,17,130
F3,18,377
F4,0,976
F4,1,414
F4,2,505
F4,3,337
F4,4,881
F4,5,487
F4,6,684
F4,7,675
F4,8,103
F4,9,32
F4,10,994
F4,11,352
F4,12,200
F4,13,967
F4,14,255
F4,15,228
F4,16,634
F4,17,445
F4,18,396
F5,0,927
F5,1,181
F5,2,868
F5,3,612
F5,4,266
F5,5,273
F5,6,287
F5,7,962
F5,8,957
F5,9,592
F5,10,157
F5,11,830
F5,12,463
F5,13,637
F5,14,793
F5,15,520
F5,16,716
F5,17,981
F5,18,47
F6,0,706
F6,1,689
F6,2,209
F6,3,140
F6,4,655
F6,5,312
F6,6,235
F6,7,316
F6,8,752
F6,9,361
F6,10,551
F6,11,149
F6,12,344
F6,13,141
F6,14,998
F6,15,179
F6,16,307
F6,17,297
F6,18,878
F7,0,666
F7,1,261
F7,2,318
F7,3,231
F7,4,69
F7,5,531
F7,6,293
F7,7,245
F7,8,360
F7,9,653
F7,10,635
F7,11,417
F7,12,5
F7,13,129
F7,14,846
F7,15,220
F7,16,218
F7,17,131
F7,18,359
F8,0,33
F8,1,49
F8,2,398
F8,3,355
F8,4,987
F8,5,595
F8,6,717
F8,7,207
F8,8,831
F8,9,331
F8,10,220
F8,11,961
F8,12,602
F8,13,711
F8,14,296
F8,15,10
F8,16,717
F8,17,956
F8,18,737
F9,0,654
F9,1,536
F9,2,289
F9,3,240
F9,4,342
F9,5,147
F9,6,610
F9,7,213
F9,8,710
F9,9,62
F9,10,748
F9,11,752
F9,12,388
F9,13,76
F9,14,259
F9,15,580
F9,16,313
F9,17,220
F9,18,580

Also, just so we're on the same page, please return your choice in this little JSON layout — keeps things tidy and machine-friendly:

{
  ""solution"": {
    ""selected"": [<stall_to_lease>, <stall_to_lease>, ...],
    ""assignments"": [<leased_stall_for_artisan>, <leased_stall_for_artisan>, ...]
  }
}

""selected"" is the list of stalls you decide to lease. ""assignments"" is a list with one entry per artisan saying which leased stall they will use. Think of it like filling out a simple form: pick the stalls, then point each artisan to one of the picked stalls.

This JSON is just the outline of the shape I expect — not the actual answer. Please make sure every identifier you put in here matches exactly the identifiers in the instance input — don't rename them and don't invent new ones.

- for example: Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'opening_costs': [2000, 2000, 2000, 2000, 2000, 2000, 2000, 2000, 2000], 'connection_costs': [[584, 99, 203, 107, 936, 128, 783, 933, 990, 321, 595, 194, 895, 665, 334, 607, 242, 465, 539], [534, 463, 801, 884, 863, 25, 819, 327, 661, 783, 7, 847, 30, 797, 39, 774, 579, 341, 852], [438, 303, 437, 170, 430, 837, 916, 188, 574, 738, 251, 556, 615, 173, 896, 660, 648, 130, 377], [976, 414, 505, 337, 881, 487, 684, 675, 103, 32, 994, 352, 200, 967, 255, 228, 634, 445, 396], [927, 181, 868, 612, 266, 273, 287, 962, 957, 592, 157, 830, 463, 637, 793, 520, 716, 981, 47], [706, 689, 209, 140, 655, 312, 235, 316, 752, 361, 551, 149, 344, 141, 998, 179, 307, 297, 878], [666, 261, 318, 231, 69, 531, 293, 245, 360, 653, 635, 417, 5, 129, 846, 220, 218, 131, 359], [33, 49, 398, 355, 987, 595, 717, 207, 831, 331, 220, 961, 602, 711, 296, 10, 717, 956, 737], [654, 536, 289, 240, 342, 147, 610, 213, 710, 62, 748, 752, 388, 76, 259, 580, 313, 220, 580]], 'objective': 8207.0}","{'open_facilities': [6, 7], 'assignments': [7, 7, 6, 6, 6, 6, 6, 7, 6, 7, 7, 6, 6, 6, 7, 7, 6, 6, 6]}",8207.0,"{'problem_type': 'UFLP', 'num_facilities': 9, 'num_customers': 19, 'facilities': [{'id': 'F1', 'opening_cost': 2000}, {'id': 'F2', 'opening_cost': 2000}, {'id': 'F3', 'opening_cost': 2000}, {'id': 'F4', 'opening_cost': 2000}, {'id': 'F5', 'opening_cost': 2000}, {'id': 'F6', 'opening_cost': 2000}, {'id': 'F7', 'opening_cost': 2000}, {'id': 'F8', 'opening_cost': 2000}, {'id': 'F9', 'opening_cost': 2000}], 'customers': [{'id': 0}, {'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}, {'id': 16}, {'id': 17}, {'id': 18}], 'connection_costs': [{'facility': 'F1', 'customer': 0, 'cost': 584}, {'facility': 'F1', 'customer': 1, 'cost': 99}, {'facility': 'F1', 'customer': 2, 'cost': 203}, {'facility': 'F1', 'customer': 3, 'cost': 107}, {'facility': 'F1', 'customer': 4, 'cost': 936}, {'facility': 'F1', 'customer': 5, 'cost': 128}, {'facility': 'F1', 'customer': 6, 'cost': 783}, {'facility': 'F1', 'customer': 7, 'cost': 933}, {'facility': 'F1', 'customer': 8, 'cost': 990}, {'facility': 'F1', 'customer': 9, 'cost': 321}, {'facility': 'F1', 'customer': 10, 'cost': 595}, {'facility': 'F1', 'customer': 11, 'cost': 194}, {'facility': 'F1', 'customer': 12, 'cost': 895}, {'facility': 'F1', 'customer': 13, 'cost': 665}, {'facility': 'F1', 'customer': 14, 'cost': 334}, {'facility': 'F1', 'customer': 15, 'cost': 607}, {'facility': 'F1', 'customer': 16, 'cost': 242}, {'facility': 'F1', 'customer': 17, 'cost': 465}, {'facility': 'F1', 'customer': 18, 'cost': 539}, {'facility': 'F2', 'customer': 0, 'cost': 534}, {'facility': 'F2', 'customer': 1, 'cost': 463}, {'facility': 'F2', 'customer': 2, 'cost': 801}, {'facility': 'F2', 'customer': 3, 'cost': 884}, {'facility': 'F2', 'customer': 4, 'cost': 863}, {'facility': 'F2', 'customer': 5, 'cost': 25}, {'facility': 'F2', 'customer': 6, 'cost': 819}, {'facility': 'F2', 'customer': 7, 'cost': 327}, {'facility': 'F2', 'customer': 8, 'cost': 661}, {'facility': 'F2', 'customer': 9, 'cost': 783}, {'facility': 'F2', 'customer': 10, 'cost': 7}, {'facility': 'F2', 'customer': 11, 'cost': 847}, {'facility': 'F2', 'customer': 12, 'cost': 30}, {'facility': 'F2', 'customer': 13, 'cost': 797}, {'facility': 'F2', 'customer': 14, 'cost': 39}, {'facility': 'F2', 'customer': 15, 'cost': 774}, {'facility': 'F2', 'customer': 16, 'cost': 579}, {'facility': 'F2', 'customer': 17, 'cost': 341}, {'facility': 'F2', 'customer': 18, 'cost': 852}, {'facility': 'F3', 'customer': 0, 'cost': 438}, {'facility': 'F3', 'customer': 1, 'cost': 303}, {'facility': 'F3', 'customer': 2, 'cost': 437}, {'facility': 'F3', 'customer': 3, 'cost': 170}, {'facility': 'F3', 'customer': 4, 'cost': 430}, {'facility': 'F3', 'customer': 5, 'cost': 837}, {'facility': 'F3', 'customer': 6, 'cost': 916}, {'facility': 'F3', 'customer': 7, 'cost': 188}, {'facility': 'F3', 'customer': 8, 'cost': 574}, {'facility': 'F3', 'customer': 9, 'cost': 738}, {'facility': 'F3', 'customer': 10, 'cost': 251}, {'facility': 'F3', 'customer': 11, 'cost': 556}, {'facility': 'F3', 'customer': 12, 'cost': 615}, {'facility': 'F3', 'customer': 13, 'cost': 173}, {'facility': 'F3', 'customer': 14, 'cost': 896}, {'facility': 'F3', 'customer': 15, 'cost': 660}, {'facility': 'F3', 'customer': 16, 'cost': 648}, {'facility': 'F3', 'customer': 17, 'cost': 130}, {'facility': 'F3', 'customer': 18, 'cost': 377}, {'facility': 'F4', 'customer': 0, 'cost': 976}, {'facility': 'F4', 'customer': 1, 'cost': 414}, {'facility': 'F4', 'customer': 2, 'cost': 505}, {'facility': 'F4', 'customer': 3, 'cost': 337}, {'facility': 'F4', 'customer': 4, 'cost': 881}, {'facility': 'F4', 'customer': 5, 'cost': 487}, {'facility': 'F4', 'customer': 6, 'cost': 684}, {'facility': 'F4', 'customer': 7, 'cost': 675}, {'facility': 'F4', 'customer': 8, 'cost': 103}, {'facility': 'F4', 'customer': 9, 'cost': 32}, {'facility': 'F4', 'customer': 10, 'cost': 994}, {'facility': 'F4', 'customer': 11, 'cost': 352}, {'facility': 'F4', 'customer': 12, 'cost': 200}, {'facility': 'F4', 'customer': 13, 'cost': 967}, {'facility': 'F4', 'customer': 14, 'cost': 255}, {'facility': 'F4', 'customer': 15, 'cost': 228}, {'facility': 'F4', 'customer': 16, 'cost': 634}, {'facility': 'F4', 'customer': 17, 'cost': 445}, {'facility': 'F4', 'customer': 18, 'cost': 396}, {'facility': 'F5', 'customer': 0, 'cost': 927}, {'facility': 'F5', 'customer': 1, 'cost': 181}, {'facility': 'F5', 'customer': 2, 'cost': 868}, {'facility': 'F5', 'customer': 3, 'cost': 612}, {'facility': 'F5', 'customer': 4, 'cost': 266}, {'facility': 'F5', 'customer': 5, 'cost': 273}, {'facility': 'F5', 'customer': 6, 'cost': 287}, {'facility': 'F5', 'customer': 7, 'cost': 962}, {'facility': 'F5', 'customer': 8, 'cost': 957}, {'facility': 'F5', 'customer': 9, 'cost': 592}, {'facility': 'F5', 'customer': 10, 'cost': 157}, {'facility': 'F5', 'customer': 11, 'cost': 830}, {'facility': 'F5', 'customer': 12, 'cost': 463}, {'facility': 'F5', 'customer': 13, 'cost': 637}, {'facility': 'F5', 'customer': 14, 'cost': 793}, {'facility': 'F5', 'customer': 15, 'cost': 520}, {'facility': 'F5', 'customer': 16, 'cost': 716}, {'facility': 'F5', 'customer': 17, 'cost': 981}, {'facility': 'F5', 'customer': 18, 'cost': 47}, {'facility': 'F6', 'customer': 0, 'cost': 706}, {'facility': 'F6', 'customer': 1, 'cost': 689}, {'facility': 'F6', 'customer': 2, 'cost': 209}, {'facility': 'F6', 'customer': 3, 'cost': 140}, {'facility': 'F6', 'customer': 4, 'cost': 655}, {'facility': 'F6', 'customer': 5, 'cost': 312}, {'facility': 'F6', 'customer': 6, 'cost': 235}, {'facility': 'F6', 'customer': 7, 'cost': 316}, {'facility': 'F6', 'customer': 8, 'cost': 752}, {'facility': 'F6', 'customer': 9, 'cost': 361}, {'facility': 'F6', 'customer': 10, 'cost': 551}, {'facility': 'F6', 'customer': 11, 'cost': 149}, {'facility': 'F6', 'customer': 12, 'cost': 344}, {'facility': 'F6', 'customer': 13, 'cost': 141}, {'facility': 'F6', 'customer': 14, 'cost': 998}, {'facility': 'F6', 'customer': 15, 'cost': 179}, {'facility': 'F6', 'customer': 16, 'cost': 307}, {'facility': 'F6', 'customer': 17, 'cost': 297}, {'facility': 'F6', 'customer': 18, 'cost': 878}, {'facility': 'F7', 'customer': 0, 'cost': 666}, {'facility': 'F7', 'customer': 1, 'cost': 261}, {'facility': 'F7', 'customer': 2, 'cost': 318}, {'facility': 'F7', 'customer': 3, 'cost': 231}, {'facility': 'F7', 'customer': 4, 'cost': 69}, {'facility': 'F7', 'customer': 5, 'cost': 531}, {'facility': 'F7', 'customer': 6, 'cost': 293}, {'facility': 'F7', 'customer': 7, 'cost': 245}, {'facility': 'F7', 'customer': 8, 'cost': 360}, {'facility': 'F7', 'customer': 9, 'cost': 653}, {'facility': 'F7', 'customer': 10, 'cost': 635}, {'facility': 'F7', 'customer': 11, 'cost': 417}, {'facility': 'F7', 'customer': 12, 'cost': 5}, {'facility': 'F7', 'customer': 13, 'cost': 129}, {'facility': 'F7', 'customer': 14, 'cost': 846}, {'facility': 'F7', 'customer': 15, 'cost': 220}, {'facility': 'F7', 'customer': 16, 'cost': 218}, {'facility': 'F7', 'customer': 17, 'cost': 131}, {'facility': 'F7', 'customer': 18, 'cost': 359}, {'facility': 'F8', 'customer': 0, 'cost': 33}, {'facility': 'F8', 'customer': 1, 'cost': 49}, {'facility': 'F8', 'customer': 2, 'cost': 398}, {'facility': 'F8', 'customer': 3, 'cost': 355}, {'facility': 'F8', 'customer': 4, 'cost': 987}, {'facility': 'F8', 'customer': 5, 'cost': 595}, {'facility': 'F8', 'customer': 6, 'cost': 717}, {'facility': 'F8', 'customer': 7, 'cost': 207}, {'facility': 'F8', 'customer': 8, 'cost': 831}, {'facility': 'F8', 'customer': 9, 'cost': 331}, {'facility': 'F8', 'customer': 10, 'cost': 220}, {'facility': 'F8', 'customer': 11, 'cost': 961}, {'facility': 'F8', 'customer': 12, 'cost': 602}, {'facility': 'F8', 'customer': 13, 'cost': 711}, {'facility': 'F8', 'customer': 14, 'cost': 296}, {'facility': 'F8', 'customer': 15, 'cost': 10}, {'facility': 'F8', 'customer': 16, 'cost': 717}, {'facility': 'F8', 'customer': 17, 'cost': 956}, {'facility': 'F8', 'customer': 18, 'cost': 737}, {'facility': 'F9', 'customer': 0, 'cost': 654}, {'facility': 'F9', 'customer': 1, 'cost': 536}, {'facility': 'F9', 'customer': 2, 'cost': 289}, {'facility': 'F9', 'customer': 3, 'cost': 240}, {'facility': 'F9', 'customer': 4, 'cost': 342}, {'facility': 'F9', 'customer': 5, 'cost': 147}, {'facility': 'F9', 'customer': 6, 'cost': 610}, {'facility': 'F9', 'customer': 7, 'cost': 213}, {'facility': 'F9', 'customer': 8, 'cost': 710}, {'facility': 'F9', 'customer': 9, 'cost': 62}, {'facility': 'F9', 'customer': 10, 'cost': 748}, {'facility': 'F9', 'customer': 11, 'cost': 752}, {'facility': 'F9', 'customer': 12, 'cost': 388}, {'facility': 'F9', 'customer': 13, 'cost': 76}, {'facility': 'F9', 'customer': 14, 'cost': 259}, {'facility': 'F9', 'customer': 15, 'cost': 580}, {'facility': 'F9', 'customer': 16, 'cost': 313}, {'facility': 'F9', 'customer': 17, 'cost': 220}, {'facility': 'F9', 'customer': 18, 'cost': 580}], 'objective': 8207.0}","{'selected': ['F7', 'F8'], 'assignments': ['F8', 'F8', 'F7', 'F7', 'F7', 'F7', 'F7', 'F8', 'F7', 'F8', 'F8', 'F7', 'F7', 'F7', 'F8', 'F8', 'F7', 'F7', 'F7']}",12,csv,0
UFLP,UFLP,"Someone in charge needs to figure out which remote work pods to put up on campus and how to seat the freelancers. The rule is every freelancer gets assigned to one and only one of the pods that were actually installed — no double-assignments and no sending anyone to a non-existent pod. The best setup is the one that keeps the total cost down, where that total is the sum of all pod installation charges plus all freelancers’ commuting inconvenience to their assigned pod. The specific instance details follow below.

# num_candidate_pods=7
# num_freelancers=17
# PODS
pod_id,pod_setup_cost
F1,1060
F2,1291
F3,1822
F4,1755
F5,1364
F6,1203
F7,1229
# FREELANCERS
freelancer_id
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
# COMMUTE_INCONVENIENCES
pod_id,freelancer_id,commute_inconvenience_cost
F1,0,486
F1,1,591
F1,2,695
F1,3,676
F1,4,174
F1,5,302
F1,6,123
F1,7,6
F1,8,947
F1,9,740
F1,10,608
F1,11,944
F1,12,695
F1,13,296
F1,14,687
F1,15,497
F1,16,408
F2,0,407
F2,1,618
F2,2,512
F2,3,559
F2,4,645
F2,5,270
F2,6,403
F2,7,879
F2,8,142
F2,9,179
F2,10,816
F2,11,489
F2,12,571
F2,13,169
F2,14,858
F2,15,421
F2,16,455
F3,0,571
F3,1,68
F3,2,965
F3,3,524
F3,4,467
F3,5,867
F3,6,937
F3,7,968
F3,8,798
F3,9,595
F3,10,332
F3,11,530
F3,12,369
F3,13,131
F3,14,951
F3,15,926
F3,16,35
F4,0,223
F4,1,268
F4,2,237
F4,3,506
F4,4,340
F4,5,187
F4,6,258
F4,7,183
F4,8,278
F4,9,950
F4,10,561
F4,11,46
F4,12,27
F4,13,435
F4,14,38
F4,15,283
F4,16,507
F5,0,960
F5,1,552
F5,2,291
F5,3,60
F5,4,729
F5,5,206
F5,6,190
F5,7,822
F5,8,223
F5,9,459
F5,10,38
F5,11,128
F5,12,121
F5,13,780
F5,14,187
F5,15,748
F5,16,647
F6,0,364
F6,1,29
F6,2,458
F6,3,676
F6,4,927
F6,5,898
F6,6,231
F6,7,955
F6,8,107
F6,9,713
F6,10,848
F6,11,521
F6,12,1
F6,13,445
F6,14,32
F6,15,179
F6,16,475
F7,0,833
F7,1,357
F7,2,162
F7,3,330
F7,4,607
F7,5,524
F7,6,349
F7,7,738
F7,8,302
F7,9,365
F7,10,827
F7,11,540
F7,12,568
F7,13,959
F7,14,409
F7,15,353
F7,16,903

So, when you send the answer back, a little JSON sketch like this is perfect — just showing which pods you actually install and which pod each freelancer is sent to:

{
  ""solution"": {
    ""selected"": [<pod_to_install>, <pod_to_install>, ...],
    ""assignments"": [<assigned_pod>, <assigned_pod>, ...]
  }
}

""selected"" is where you list the pods you put up (one entry per pod). ""assignments"" lists, in order, the pod each freelancer uses — one entry per freelancer. Super informal: think of ""selected"" as the installations box and ""assignments"" as the seating map. This is only the shape I expect, not the final choices.

Please use the exact identifiers from the instance input — do not rename them or invent new labels. 
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'opening_costs': [1060, 1291, 1822, 1755, 1364, 1203, 1229], 'connection_costs': [[486, 591, 695, 676, 174, 302, 123, 6, 947, 740, 608, 944, 695, 296, 687, 497, 408], [407, 618, 512, 559, 645, 270, 403, 879, 142, 179, 816, 489, 571, 169, 858, 421, 455], [571, 68, 965, 524, 467, 867, 937, 968, 798, 595, 332, 530, 369, 131, 951, 926, 35], [223, 268, 237, 506, 340, 187, 258, 183, 278, 950, 561, 46, 27, 435, 38, 283, 507], [960, 552, 291, 60, 729, 206, 190, 822, 223, 459, 38, 128, 121, 780, 187, 748, 647], [364, 29, 458, 676, 927, 898, 231, 955, 107, 713, 848, 521, 1, 445, 32, 179, 475], [833, 357, 162, 330, 607, 524, 349, 738, 302, 365, 827, 540, 568, 959, 409, 353, 903]], 'objective': 6528.0}","{'open_facilities': [0, 4, 5], 'assignments': [5, 5, 4, 4, 0, 4, 0, 0, 5, 4, 4, 4, 5, 0, 5, 5, 0]}",6528.0,"{'problem_type': 'UFLP', 'num_facilities': 7, 'num_customers': 17, 'facilities': [{'id': 'F1', 'opening_cost': 1060}, {'id': 'F2', 'opening_cost': 1291}, {'id': 'F3', 'opening_cost': 1822}, {'id': 'F4', 'opening_cost': 1755}, {'id': 'F5', 'opening_cost': 1364}, {'id': 'F6', 'opening_cost': 1203}, {'id': 'F7', 'opening_cost': 1229}], 'customers': [{'id': 0}, {'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}, {'id': 16}], 'connection_costs': [{'facility': 'F1', 'customer': 0, 'cost': 486}, {'facility': 'F1', 'customer': 1, 'cost': 591}, {'facility': 'F1', 'customer': 2, 'cost': 695}, {'facility': 'F1', 'customer': 3, 'cost': 676}, {'facility': 'F1', 'customer': 4, 'cost': 174}, {'facility': 'F1', 'customer': 5, 'cost': 302}, {'facility': 'F1', 'customer': 6, 'cost': 123}, {'facility': 'F1', 'customer': 7, 'cost': 6}, {'facility': 'F1', 'customer': 8, 'cost': 947}, {'facility': 'F1', 'customer': 9, 'cost': 740}, {'facility': 'F1', 'customer': 10, 'cost': 608}, {'facility': 'F1', 'customer': 11, 'cost': 944}, {'facility': 'F1', 'customer': 12, 'cost': 695}, {'facility': 'F1', 'customer': 13, 'cost': 296}, {'facility': 'F1', 'customer': 14, 'cost': 687}, {'facility': 'F1', 'customer': 15, 'cost': 497}, {'facility': 'F1', 'customer': 16, 'cost': 408}, {'facility': 'F2', 'customer': 0, 'cost': 407}, {'facility': 'F2', 'customer': 1, 'cost': 618}, {'facility': 'F2', 'customer': 2, 'cost': 512}, {'facility': 'F2', 'customer': 3, 'cost': 559}, {'facility': 'F2', 'customer': 4, 'cost': 645}, {'facility': 'F2', 'customer': 5, 'cost': 270}, {'facility': 'F2', 'customer': 6, 'cost': 403}, {'facility': 'F2', 'customer': 7, 'cost': 879}, {'facility': 'F2', 'customer': 8, 'cost': 142}, {'facility': 'F2', 'customer': 9, 'cost': 179}, {'facility': 'F2', 'customer': 10, 'cost': 816}, {'facility': 'F2', 'customer': 11, 'cost': 489}, {'facility': 'F2', 'customer': 12, 'cost': 571}, {'facility': 'F2', 'customer': 13, 'cost': 169}, {'facility': 'F2', 'customer': 14, 'cost': 858}, {'facility': 'F2', 'customer': 15, 'cost': 421}, {'facility': 'F2', 'customer': 16, 'cost': 455}, {'facility': 'F3', 'customer': 0, 'cost': 571}, {'facility': 'F3', 'customer': 1, 'cost': 68}, {'facility': 'F3', 'customer': 2, 'cost': 965}, {'facility': 'F3', 'customer': 3, 'cost': 524}, {'facility': 'F3', 'customer': 4, 'cost': 467}, {'facility': 'F3', 'customer': 5, 'cost': 867}, {'facility': 'F3', 'customer': 6, 'cost': 937}, {'facility': 'F3', 'customer': 7, 'cost': 968}, {'facility': 'F3', 'customer': 8, 'cost': 798}, {'facility': 'F3', 'customer': 9, 'cost': 595}, {'facility': 'F3', 'customer': 10, 'cost': 332}, {'facility': 'F3', 'customer': 11, 'cost': 530}, {'facility': 'F3', 'customer': 12, 'cost': 369}, {'facility': 'F3', 'customer': 13, 'cost': 131}, {'facility': 'F3', 'customer': 14, 'cost': 951}, {'facility': 'F3', 'customer': 15, 'cost': 926}, {'facility': 'F3', 'customer': 16, 'cost': 35}, {'facility': 'F4', 'customer': 0, 'cost': 223}, {'facility': 'F4', 'customer': 1, 'cost': 268}, {'facility': 'F4', 'customer': 2, 'cost': 237}, {'facility': 'F4', 'customer': 3, 'cost': 506}, {'facility': 'F4', 'customer': 4, 'cost': 340}, {'facility': 'F4', 'customer': 5, 'cost': 187}, {'facility': 'F4', 'customer': 6, 'cost': 258}, {'facility': 'F4', 'customer': 7, 'cost': 183}, {'facility': 'F4', 'customer': 8, 'cost': 278}, {'facility': 'F4', 'customer': 9, 'cost': 950}, {'facility': 'F4', 'customer': 10, 'cost': 561}, {'facility': 'F4', 'customer': 11, 'cost': 46}, {'facility': 'F4', 'customer': 12, 'cost': 27}, {'facility': 'F4', 'customer': 13, 'cost': 435}, {'facility': 'F4', 'customer': 14, 'cost': 38}, {'facility': 'F4', 'customer': 15, 'cost': 283}, {'facility': 'F4', 'customer': 16, 'cost': 507}, {'facility': 'F5', 'customer': 0, 'cost': 960}, {'facility': 'F5', 'customer': 1, 'cost': 552}, {'facility': 'F5', 'customer': 2, 'cost': 291}, {'facility': 'F5', 'customer': 3, 'cost': 60}, {'facility': 'F5', 'customer': 4, 'cost': 729}, {'facility': 'F5', 'customer': 5, 'cost': 206}, {'facility': 'F5', 'customer': 6, 'cost': 190}, {'facility': 'F5', 'customer': 7, 'cost': 822}, {'facility': 'F5', 'customer': 8, 'cost': 223}, {'facility': 'F5', 'customer': 9, 'cost': 459}, {'facility': 'F5', 'customer': 10, 'cost': 38}, {'facility': 'F5', 'customer': 11, 'cost': 128}, {'facility': 'F5', 'customer': 12, 'cost': 121}, {'facility': 'F5', 'customer': 13, 'cost': 780}, {'facility': 'F5', 'customer': 14, 'cost': 187}, {'facility': 'F5', 'customer': 15, 'cost': 748}, {'facility': 'F5', 'customer': 16, 'cost': 647}, {'facility': 'F6', 'customer': 0, 'cost': 364}, {'facility': 'F6', 'customer': 1, 'cost': 29}, {'facility': 'F6', 'customer': 2, 'cost': 458}, {'facility': 'F6', 'customer': 3, 'cost': 676}, {'facility': 'F6', 'customer': 4, 'cost': 927}, {'facility': 'F6', 'customer': 5, 'cost': 898}, {'facility': 'F6', 'customer': 6, 'cost': 231}, {'facility': 'F6', 'customer': 7, 'cost': 955}, {'facility': 'F6', 'customer': 8, 'cost': 107}, {'facility': 'F6', 'customer': 9, 'cost': 713}, {'facility': 'F6', 'customer': 10, 'cost': 848}, {'facility': 'F6', 'customer': 11, 'cost': 521}, {'facility': 'F6', 'customer': 12, 'cost': 1}, {'facility': 'F6', 'customer': 13, 'cost': 445}, {'facility': 'F6', 'customer': 14, 'cost': 32}, {'facility': 'F6', 'customer': 15, 'cost': 179}, {'facility': 'F6', 'customer': 16, 'cost': 475}, {'facility': 'F7', 'customer': 0, 'cost': 833}, {'facility': 'F7', 'customer': 1, 'cost': 357}, {'facility': 'F7', 'customer': 2, 'cost': 162}, {'facility': 'F7', 'customer': 3, 'cost': 330}, {'facility': 'F7', 'customer': 4, 'cost': 607}, {'facility': 'F7', 'customer': 5, 'cost': 524}, {'facility': 'F7', 'customer': 6, 'cost': 349}, {'facility': 'F7', 'customer': 7, 'cost': 738}, {'facility': 'F7', 'customer': 8, 'cost': 302}, {'facility': 'F7', 'customer': 9, 'cost': 365}, {'facility': 'F7', 'customer': 10, 'cost': 827}, {'facility': 'F7', 'customer': 11, 'cost': 540}, {'facility': 'F7', 'customer': 12, 'cost': 568}, {'facility': 'F7', 'customer': 13, 'cost': 959}, {'facility': 'F7', 'customer': 14, 'cost': 409}, {'facility': 'F7', 'customer': 15, 'cost': 353}, {'facility': 'F7', 'customer': 16, 'cost': 903}], 'objective': 6528.0}","{'selected': ['F1', 'F5', 'F6'], 'assignments': ['F6', 'F6', 'F5', 'F5', 'F1', 'F5', 'F1', 'F1', 'F6', 'F5', 'F5', 'F5', 'F6', 'F1', 'F6', 'F6', 'F1']}",13,csv,0
UFLP,UFLP,"In our district the administrator must choose which temporary classroom trailers to bring in and then put every after-school student into one of the trailers that arrived. The decision is to select which trailers to bring and then assign each student to exactly one of those brought trailers (students can’t go to trailers that weren’t brought, and nobody gets left without an assignment). What makes one plan preferable is the total cost you end up with — add together the cost to bring the chosen trailers plus the travel-time cost for every student getting to their assigned trailer; the plan with the lowest combined total is best. Trailers can hold any number of students, and the concrete details will be shown below.

There are 9 candidate trailers, 20 after-school students, and the trailer bringing costs 1865, 1525, 1260, 1853, 1134, 1076, 1603, 1696, 1831.
Trailer F1 has a bringing cost of 1865.
Trailer F2 has a bringing cost of 1525.
Trailer F3 has a bringing cost of 1260.
Trailer F4 has a bringing cost of 1853.
Trailer F5 has a bringing cost of 1134.
Trailer F6 has a bringing cost of 1076.
Trailer F7 has a bringing cost of 1603.
Trailer F8 has a bringing cost of 1696.
Trailer F9 has a bringing cost of 1831.
Student 0 incurs travel-time cost 272 to reach trailer F1.
Student 1 incurs travel-time cost 225 to reach trailer F1.
Student 2 incurs travel-time cost 636 to reach trailer F1.
Student 3 incurs travel-time cost 558 to reach trailer F1.
Student 4 incurs travel-time cost 933 to reach trailer F1.
Student 5 incurs travel-time cost 444 to reach trailer F1.
Student 6 incurs travel-time cost 421 to reach trailer F1.
Student 7 incurs travel-time cost 470 to reach trailer F1.
Student 8 incurs travel-time cost 664 to reach trailer F1.
Student 9 incurs travel-time cost 447 to reach trailer F1.
Student 10 incurs travel-time cost 168 to reach trailer F1.
Student 11 incurs travel-time cost 616 to reach trailer F1.
Student 12 incurs travel-time cost 663 to reach trailer F1.
Student 13 incurs travel-time cost 822 to reach trailer F1.
Student 14 incurs travel-time cost 365 to reach trailer F1.
Student 15 incurs travel-time cost 886 to reach trailer F1.
Student 16 incurs travel-time cost 399 to reach trailer F1.
Student 17 incurs travel-time cost 610 to reach trailer F1.
Student 18 incurs travel-time cost 387 to reach trailer F1.
Student 19 incurs travel-time cost 879 to reach trailer F1.
Student 0 incurs travel-time cost 536 to reach trailer F2.
Student 1 incurs travel-time cost 74 to reach trailer F2.
Student 2 incurs travel-time cost 510 to reach trailer F2.
Student 3 incurs travel-time cost 386 to reach trailer F2.
Student 4 incurs travel-time cost 129 to reach trailer F2.
Student 5 incurs travel-time cost 595 to reach trailer F2.
Student 6 incurs travel-time cost 420 to reach trailer F2.
Student 7 incurs travel-time cost 764 to reach trailer F2.
Student 8 incurs travel-time cost 521 to reach trailer F2.
Student 9 incurs travel-time cost 456 to reach trailer F2.
Student 10 incurs travel-time cost 210 to reach trailer F2.
Student 11 incurs travel-time cost 688 to reach trailer F2.
Student 12 incurs travel-time cost 795 to reach trailer F2.
Student 13 incurs travel-time cost 291 to reach trailer F2.
Student 14 incurs travel-time cost 771 to reach trailer F2.
Student 15 incurs travel-time cost 468 to reach trailer F2.
Student 16 incurs travel-time cost 29 to reach trailer F2.
Student 17 incurs travel-time cost 516 to reach trailer F2.
Student 18 incurs travel-time cost 771 to reach trailer F2.
Student 19 incurs travel-time cost 285 to reach trailer F2.
Student 0 incurs travel-time cost 853 to reach trailer F3.
Student 1 incurs travel-time cost 260 to reach trailer F3.
Student 2 incurs travel-time cost 124 to reach trailer F3.
Student 3 incurs travel-time cost 123 to reach trailer F3.
Student 4 incurs travel-time cost 814 to reach trailer F3.
Student 5 incurs travel-time cost 118 to reach trailer F3.
Student 6 incurs travel-time cost 485 to reach trailer F3.
Student 7 incurs travel-time cost 22 to reach trailer F3.
Student 8 incurs travel-time cost 85 to reach trailer F3.
Student 9 incurs travel-time cost 220 to reach trailer F3.
Student 10 incurs travel-time cost 468 to reach trailer F3.
Student 11 incurs travel-time cost 879 to reach trailer F3.
Student 12 incurs travel-time cost 658 to reach trailer F3.
Student 13 incurs travel-time cost 450 to reach trailer F3.
Student 14 incurs travel-time cost 406 to reach trailer F3.
Student 15 incurs travel-time cost 89 to reach trailer F3.
Student 16 incurs travel-time cost 804 to reach trailer F3.
Student 17 incurs travel-time cost 192 to reach trailer F3.
Student 18 incurs travel-time cost 489 to reach trailer F3.
Student 19 incurs travel-time cost 919 to reach trailer F3.
Student 0 incurs travel-time cost 2 to reach trailer F4.
Student 1 incurs travel-time cost 399 to reach trailer F4.
Student 2 incurs travel-time cost 53 to reach trailer F4.
Student 3 incurs travel-time cost 522 to reach trailer F4.
Student 4 incurs travel-time cost 426 to reach trailer F4.
Student 5 incurs travel-time cost 875 to reach trailer F4.
Student 6 incurs travel-time cost 179 to reach trailer F4.
Student 7 incurs travel-time cost 23 to reach trailer F4.
Student 8 incurs travel-time cost 750 to reach trailer F4.
Student 9 incurs travel-time cost 904 to reach trailer F4.
Student 10 incurs travel-time cost 510 to reach trailer F4.
Student 11 incurs travel-time cost 777 to reach trailer F4.
Student 12 incurs travel-time cost 766 to reach trailer F4.
Student 13 incurs travel-time cost 410 to reach trailer F4.
Student 14 incurs travel-time cost 916 to reach trailer F4.
Student 15 incurs travel-time cost 716 to reach trailer F4.
Student 16 incurs travel-time cost 209 to reach trailer F4.
Student 17 incurs travel-time cost 358 to reach trailer F4.
Student 18 incurs travel-time cost 296 to reach trailer F4.
Student 19 incurs travel-time cost 686 to reach trailer F4.
Student 0 incurs travel-time cost 345 to reach trailer F5.
Student 1 incurs travel-time cost 738 to reach trailer F5.
Student 2 incurs travel-time cost 868 to reach trailer F5.
Student 3 incurs travel-time cost 843 to reach trailer F5.
Student 4 incurs travel-time cost 149 to reach trailer F5.
Student 5 incurs travel-time cost 660 to reach trailer F5.
Student 6 incurs travel-time cost 916 to reach trailer F5.
Student 7 incurs travel-time cost 210 to reach trailer F5.
Student 8 incurs travel-time cost 568 to reach trailer F5.
Student 9 incurs travel-time cost 72 to reach trailer F5.
Student 10 incurs travel-time cost 516 to reach trailer F5.
Student 11 incurs travel-time cost 790 to reach trailer F5.
Student 12 incurs travel-time cost 915 to reach trailer F5.
Student 13 incurs travel-time cost 835 to reach trailer F5.
Student 14 incurs travel-time cost 828 to reach trailer F5.
Student 15 incurs travel-time cost 293 to reach trailer F5.
Student 16 incurs travel-time cost 685 to reach trailer F5.
Student 17 incurs travel-time cost 874 to reach trailer F5.
Student 18 incurs travel-time cost 827 to reach trailer F5.
Student 19 incurs travel-time cost 158 to reach trailer F5.
Student 0 incurs travel-time cost 416 to reach trailer F6.
Student 1 incurs travel-time cost 955 to reach trailer F6.
Student 2 incurs travel-time cost 992 to reach trailer F6.
Student 3 incurs travel-time cost 378 to reach trailer F6.
Student 4 incurs travel-time cost 957 to reach trailer F6.
Student 5 incurs travel-time cost 265 to reach trailer F6.
Student 6 incurs travel-time cost 124 to reach trailer F6.
Student 7 incurs travel-time cost 638 to reach trailer F6.
Student 8 incurs travel-time cost 283 to reach trailer F6.
Student 9 incurs travel-time cost 320 to reach trailer F6.
Student 10 incurs travel-time cost 171 to reach trailer F6.
Student 11 incurs travel-time cost 198 to reach trailer F6.
Student 12 incurs travel-time cost 705 to reach trailer F6.
Student 13 incurs travel-time cost 149 to reach trailer F6.
Student 14 incurs travel-time cost 561 to reach trailer F6.
Student 15 incurs travel-time cost 151 to reach trailer F6.
Student 16 incurs travel-time cost 821 to reach trailer F6.
Student 17 incurs travel-time cost 451 to reach trailer F6.
Student 18 incurs travel-time cost 191 to reach trailer F6.
Student 19 incurs travel-time cost 644 to reach trailer F6.
Student 0 incurs travel-time cost 541 to reach trailer F7.
Student 1 incurs travel-time cost 212 to reach trailer F7.
Student 2 incurs travel-time cost 454 to reach trailer F7.
Student 3 incurs travel-time cost 629 to reach trailer F7.
Student 4 incurs travel-time cost 457 to reach trailer F7.
Student 5 incurs travel-time cost 112 to reach trailer F7.
Student 6 incurs travel-time cost 227 to reach trailer F7.
Student 7 incurs travel-time cost 283 to reach trailer F7.
Student 8 incurs travel-time cost 7 to reach trailer F7.
Student 9 incurs travel-time cost 333 to reach trailer F7.
Student 10 incurs travel-time cost 834 to reach trailer F7.
Student 11 incurs travel-time cost 580 to reach trailer F7.
Student 12 incurs travel-time cost 510 to reach trailer F7.
Student 13 incurs travel-time cost 14 to reach trailer F7.
Student 14 incurs travel-time cost 627 to reach trailer F7.
Student 15 incurs travel-time cost 182 to reach trailer F7.
Student 16 incurs travel-time cost 31 to reach trailer F7.
Student 17 incurs travel-time cost 453 to reach trailer F7.
Student 18 incurs travel-time cost 419 to reach trailer F7.
Student 19 incurs travel-time cost 597 to reach trailer F7.
Student 0 incurs travel-time cost 490 to reach trailer F8.
Student 1 incurs travel-time cost 283 to reach trailer F8.
Student 2 incurs travel-time cost 747 to reach trailer F8.
Student 3 incurs travel-time cost 702 to reach trailer F8.
Student 4 incurs travel-time cost 385 to reach trailer F8.
Student 5 incurs travel-time cost 159 to reach trailer F8.
Student 6 incurs travel-time cost 116 to reach trailer F8.
Student 7 incurs travel-time cost 75 to reach trailer F8.
Student 8 incurs travel-time cost 334 to reach trailer F8.
Student 9 incurs travel-time cost 484 to reach trailer F8.
Student 10 incurs travel-time cost 141 to reach trailer F8.
Student 11 incurs travel-time cost 754 to reach trailer F8.
Student 12 incurs travel-time cost 554 to reach trailer F8.
Student 13 incurs travel-time cost 284 to reach trailer F8.
Student 14 incurs travel-time cost 731 to reach trailer F8.
Student 15 incurs travel-time cost 973 to reach trailer F8.
Student 16 incurs travel-time cost 652 to reach trailer F8.
Student 17 incurs travel-time cost 438 to reach trailer F8.
Student 18 incurs travel-time cost 4 to reach trailer F8.
Student 19 incurs travel-time cost 773 to reach trailer F8.
Student 0 incurs travel-time cost 150 to reach trailer F9.
Student 1 incurs travel-time cost 138 to reach trailer F9.
Student 2 incurs travel-time cost 63 to reach trailer F9.
Student 3 incurs travel-time cost 635 to reach trailer F9.
Student 4 incurs travel-time cost 165 to reach trailer F9.
Student 5 incurs travel-time cost 552 to reach trailer F9.
Student 6 incurs travel-time cost 481 to reach trailer F9.
Student 7 incurs travel-time cost 762 to reach trailer F9.
Student 8 incurs travel-time cost 737 to reach trailer F9.
Student 9 incurs travel-time cost 284 to reach trailer F9.
Student 10 incurs travel-time cost 199 to reach trailer F9.
Student 11 incurs travel-time cost 824 to reach trailer F9.
Student 12 incurs travel-time cost 845 to reach trailer F9.
Student 13 incurs travel-time cost 985 to reach trailer F9.
Student 14 incurs travel-time cost 710 to reach trailer F9.
Student 15 incurs travel-time cost 201 to reach trailer F9.
Student 16 incurs travel-time cost 474 to reach trailer F9.
Student 17 incurs travel-time cost 616 to reach trailer F9.
Student 18 incurs travel-time cost 968 to reach trailer F9.
Student 19 incurs travel-time cost 80 to reach trailer F9.
The administrator will use these details to choose which trailers to bring and assign every student so the combined bringing costs plus student travel-time costs is minimized.

If you want to send back a plan, just use this simple JSON shape so I can read it easily — nothing fancy, just a small form that says which trailers you brought and which trailer each student goes to.

{
  ""solution"": {
    ""selected"": [""<trailer_to_bring>"", ""<trailer_to_bring>"", ...],
    ""assignments"": [""<assigned_trailer>"", ""<assigned_trailer>"", ...]
  }
}

Think of ""selected"" as the list of trailers you decided to bring in, and ""assignments"" as a student-by-student list saying which of the brought trailers each student will go to (in the same student order as the instance). Super casual — it's just a sketch of the shape I expect, not the actual answer.

Please make sure you use the exact identifiers from the instance input when you fill this in — don't rename them or invent new labels. Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'opening_costs': [1865, 1525, 1260, 1853, 1134, 1076, 1603, 1696, 1831], 'connection_costs': [[272, 225, 636, 558, 933, 444, 421, 470, 664, 447, 168, 616, 663, 822, 365, 886, 399, 610, 387, 879], [536, 74, 510, 386, 129, 595, 420, 764, 521, 456, 210, 688, 795, 291, 771, 468, 29, 516, 771, 285], [853, 260, 124, 123, 814, 118, 485, 22, 85, 220, 468, 879, 658, 450, 406, 89, 804, 192, 489, 919], [2, 399, 53, 522, 426, 875, 179, 23, 750, 904, 510, 777, 766, 410, 916, 716, 209, 358, 296, 686], [345, 738, 868, 843, 149, 660, 916, 210, 568, 72, 516, 790, 915, 835, 828, 293, 685, 874, 827, 158], [416, 955, 992, 378, 957, 265, 124, 638, 283, 320, 171, 198, 705, 149, 561, 151, 821, 451, 191, 644], [541, 212, 454, 629, 457, 112, 227, 283, 7, 333, 834, 580, 510, 14, 627, 182, 31, 453, 419, 597], [490, 283, 747, 702, 385, 159, 116, 75, 334, 484, 141, 754, 554, 284, 731, 973, 652, 438, 4, 773], [150, 138, 63, 635, 165, 552, 481, 762, 737, 284, 199, 824, 845, 985, 710, 201, 474, 616, 968, 80]], 'objective': 7664.0}","{'open_facilities': [1, 2, 5], 'assignments': [5, 1, 2, 2, 1, 2, 5, 2, 2, 2, 5, 5, 2, 5, 2, 2, 1, 2, 5, 1]}",7664.0,"{'problem_type': 'UFLP', 'num_facilities': 9, 'num_customers': 20, 'facilities': [{'id': 'F1', 'opening_cost': 1865}, {'id': 'F2', 'opening_cost': 1525}, {'id': 'F3', 'opening_cost': 1260}, {'id': 'F4', 'opening_cost': 1853}, {'id': 'F5', 'opening_cost': 1134}, {'id': 'F6', 'opening_cost': 1076}, {'id': 'F7', 'opening_cost': 1603}, {'id': 'F8', 'opening_cost': 1696}, {'id': 'F9', 'opening_cost': 1831}], 'customers': [{'id': 0}, {'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}, {'id': 16}, {'id': 17}, {'id': 18}, {'id': 19}], 'connection_costs': [{'facility': 'F1', 'customer': 0, 'cost': 272}, {'facility': 'F1', 'customer': 1, 'cost': 225}, {'facility': 'F1', 'customer': 2, 'cost': 636}, {'facility': 'F1', 'customer': 3, 'cost': 558}, {'facility': 'F1', 'customer': 4, 'cost': 933}, {'facility': 'F1', 'customer': 5, 'cost': 444}, {'facility': 'F1', 'customer': 6, 'cost': 421}, {'facility': 'F1', 'customer': 7, 'cost': 470}, {'facility': 'F1', 'customer': 8, 'cost': 664}, {'facility': 'F1', 'customer': 9, 'cost': 447}, {'facility': 'F1', 'customer': 10, 'cost': 168}, {'facility': 'F1', 'customer': 11, 'cost': 616}, {'facility': 'F1', 'customer': 12, 'cost': 663}, {'facility': 'F1', 'customer': 13, 'cost': 822}, {'facility': 'F1', 'customer': 14, 'cost': 365}, {'facility': 'F1', 'customer': 15, 'cost': 886}, {'facility': 'F1', 'customer': 16, 'cost': 399}, {'facility': 'F1', 'customer': 17, 'cost': 610}, {'facility': 'F1', 'customer': 18, 'cost': 387}, {'facility': 'F1', 'customer': 19, 'cost': 879}, {'facility': 'F2', 'customer': 0, 'cost': 536}, {'facility': 'F2', 'customer': 1, 'cost': 74}, {'facility': 'F2', 'customer': 2, 'cost': 510}, {'facility': 'F2', 'customer': 3, 'cost': 386}, {'facility': 'F2', 'customer': 4, 'cost': 129}, {'facility': 'F2', 'customer': 5, 'cost': 595}, {'facility': 'F2', 'customer': 6, 'cost': 420}, {'facility': 'F2', 'customer': 7, 'cost': 764}, {'facility': 'F2', 'customer': 8, 'cost': 521}, {'facility': 'F2', 'customer': 9, 'cost': 456}, {'facility': 'F2', 'customer': 10, 'cost': 210}, {'facility': 'F2', 'customer': 11, 'cost': 688}, {'facility': 'F2', 'customer': 12, 'cost': 795}, {'facility': 'F2', 'customer': 13, 'cost': 291}, {'facility': 'F2', 'customer': 14, 'cost': 771}, {'facility': 'F2', 'customer': 15, 'cost': 468}, {'facility': 'F2', 'customer': 16, 'cost': 29}, {'facility': 'F2', 'customer': 17, 'cost': 516}, {'facility': 'F2', 'customer': 18, 'cost': 771}, {'facility': 'F2', 'customer': 19, 'cost': 285}, {'facility': 'F3', 'customer': 0, 'cost': 853}, {'facility': 'F3', 'customer': 1, 'cost': 260}, {'facility': 'F3', 'customer': 2, 'cost': 124}, {'facility': 'F3', 'customer': 3, 'cost': 123}, {'facility': 'F3', 'customer': 4, 'cost': 814}, {'facility': 'F3', 'customer': 5, 'cost': 118}, {'facility': 'F3', 'customer': 6, 'cost': 485}, {'facility': 'F3', 'customer': 7, 'cost': 22}, {'facility': 'F3', 'customer': 8, 'cost': 85}, {'facility': 'F3', 'customer': 9, 'cost': 220}, {'facility': 'F3', 'customer': 10, 'cost': 468}, {'facility': 'F3', 'customer': 11, 'cost': 879}, {'facility': 'F3', 'customer': 12, 'cost': 658}, {'facility': 'F3', 'customer': 13, 'cost': 450}, {'facility': 'F3', 'customer': 14, 'cost': 406}, {'facility': 'F3', 'customer': 15, 'cost': 89}, {'facility': 'F3', 'customer': 16, 'cost': 804}, {'facility': 'F3', 'customer': 17, 'cost': 192}, {'facility': 'F3', 'customer': 18, 'cost': 489}, {'facility': 'F3', 'customer': 19, 'cost': 919}, {'facility': 'F4', 'customer': 0, 'cost': 2}, {'facility': 'F4', 'customer': 1, 'cost': 399}, {'facility': 'F4', 'customer': 2, 'cost': 53}, {'facility': 'F4', 'customer': 3, 'cost': 522}, {'facility': 'F4', 'customer': 4, 'cost': 426}, {'facility': 'F4', 'customer': 5, 'cost': 875}, {'facility': 'F4', 'customer': 6, 'cost': 179}, {'facility': 'F4', 'customer': 7, 'cost': 23}, {'facility': 'F4', 'customer': 8, 'cost': 750}, {'facility': 'F4', 'customer': 9, 'cost': 904}, {'facility': 'F4', 'customer': 10, 'cost': 510}, {'facility': 'F4', 'customer': 11, 'cost': 777}, {'facility': 'F4', 'customer': 12, 'cost': 766}, {'facility': 'F4', 'customer': 13, 'cost': 410}, {'facility': 'F4', 'customer': 14, 'cost': 916}, {'facility': 'F4', 'customer': 15, 'cost': 716}, {'facility': 'F4', 'customer': 16, 'cost': 209}, {'facility': 'F4', 'customer': 17, 'cost': 358}, {'facility': 'F4', 'customer': 18, 'cost': 296}, {'facility': 'F4', 'customer': 19, 'cost': 686}, {'facility': 'F5', 'customer': 0, 'cost': 345}, {'facility': 'F5', 'customer': 1, 'cost': 738}, {'facility': 'F5', 'customer': 2, 'cost': 868}, {'facility': 'F5', 'customer': 3, 'cost': 843}, {'facility': 'F5', 'customer': 4, 'cost': 149}, {'facility': 'F5', 'customer': 5, 'cost': 660}, {'facility': 'F5', 'customer': 6, 'cost': 916}, {'facility': 'F5', 'customer': 7, 'cost': 210}, {'facility': 'F5', 'customer': 8, 'cost': 568}, {'facility': 'F5', 'customer': 9, 'cost': 72}, {'facility': 'F5', 'customer': 10, 'cost': 516}, {'facility': 'F5', 'customer': 11, 'cost': 790}, {'facility': 'F5', 'customer': 12, 'cost': 915}, {'facility': 'F5', 'customer': 13, 'cost': 835}, {'facility': 'F5', 'customer': 14, 'cost': 828}, {'facility': 'F5', 'customer': 15, 'cost': 293}, {'facility': 'F5', 'customer': 16, 'cost': 685}, {'facility': 'F5', 'customer': 17, 'cost': 874}, {'facility': 'F5', 'customer': 18, 'cost': 827}, {'facility': 'F5', 'customer': 19, 'cost': 158}, {'facility': 'F6', 'customer': 0, 'cost': 416}, {'facility': 'F6', 'customer': 1, 'cost': 955}, {'facility': 'F6', 'customer': 2, 'cost': 992}, {'facility': 'F6', 'customer': 3, 'cost': 378}, {'facility': 'F6', 'customer': 4, 'cost': 957}, {'facility': 'F6', 'customer': 5, 'cost': 265}, {'facility': 'F6', 'customer': 6, 'cost': 124}, {'facility': 'F6', 'customer': 7, 'cost': 638}, {'facility': 'F6', 'customer': 8, 'cost': 283}, {'facility': 'F6', 'customer': 9, 'cost': 320}, {'facility': 'F6', 'customer': 10, 'cost': 171}, {'facility': 'F6', 'customer': 11, 'cost': 198}, {'facility': 'F6', 'customer': 12, 'cost': 705}, {'facility': 'F6', 'customer': 13, 'cost': 149}, {'facility': 'F6', 'customer': 14, 'cost': 561}, {'facility': 'F6', 'customer': 15, 'cost': 151}, {'facility': 'F6', 'customer': 16, 'cost': 821}, {'facility': 'F6', 'customer': 17, 'cost': 451}, {'facility': 'F6', 'customer': 18, 'cost': 191}, {'facility': 'F6', 'customer': 19, 'cost': 644}, {'facility': 'F7', 'customer': 0, 'cost': 541}, {'facility': 'F7', 'customer': 1, 'cost': 212}, {'facility': 'F7', 'customer': 2, 'cost': 454}, {'facility': 'F7', 'customer': 3, 'cost': 629}, {'facility': 'F7', 'customer': 4, 'cost': 457}, {'facility': 'F7', 'customer': 5, 'cost': 112}, {'facility': 'F7', 'customer': 6, 'cost': 227}, {'facility': 'F7', 'customer': 7, 'cost': 283}, {'facility': 'F7', 'customer': 8, 'cost': 7}, {'facility': 'F7', 'customer': 9, 'cost': 333}, {'facility': 'F7', 'customer': 10, 'cost': 834}, {'facility': 'F7', 'customer': 11, 'cost': 580}, {'facility': 'F7', 'customer': 12, 'cost': 510}, {'facility': 'F7', 'customer': 13, 'cost': 14}, {'facility': 'F7', 'customer': 14, 'cost': 627}, {'facility': 'F7', 'customer': 15, 'cost': 182}, {'facility': 'F7', 'customer': 16, 'cost': 31}, {'facility': 'F7', 'customer': 17, 'cost': 453}, {'facility': 'F7', 'customer': 18, 'cost': 419}, {'facility': 'F7', 'customer': 19, 'cost': 597}, {'facility': 'F8', 'customer': 0, 'cost': 490}, {'facility': 'F8', 'customer': 1, 'cost': 283}, {'facility': 'F8', 'customer': 2, 'cost': 747}, {'facility': 'F8', 'customer': 3, 'cost': 702}, {'facility': 'F8', 'customer': 4, 'cost': 385}, {'facility': 'F8', 'customer': 5, 'cost': 159}, {'facility': 'F8', 'customer': 6, 'cost': 116}, {'facility': 'F8', 'customer': 7, 'cost': 75}, {'facility': 'F8', 'customer': 8, 'cost': 334}, {'facility': 'F8', 'customer': 9, 'cost': 484}, {'facility': 'F8', 'customer': 10, 'cost': 141}, {'facility': 'F8', 'customer': 11, 'cost': 754}, {'facility': 'F8', 'customer': 12, 'cost': 554}, {'facility': 'F8', 'customer': 13, 'cost': 284}, {'facility': 'F8', 'customer': 14, 'cost': 731}, {'facility': 'F8', 'customer': 15, 'cost': 973}, {'facility': 'F8', 'customer': 16, 'cost': 652}, {'facility': 'F8', 'customer': 17, 'cost': 438}, {'facility': 'F8', 'customer': 18, 'cost': 4}, {'facility': 'F8', 'customer': 19, 'cost': 773}, {'facility': 'F9', 'customer': 0, 'cost': 150}, {'facility': 'F9', 'customer': 1, 'cost': 138}, {'facility': 'F9', 'customer': 2, 'cost': 63}, {'facility': 'F9', 'customer': 3, 'cost': 635}, {'facility': 'F9', 'customer': 4, 'cost': 165}, {'facility': 'F9', 'customer': 5, 'cost': 552}, {'facility': 'F9', 'customer': 6, 'cost': 481}, {'facility': 'F9', 'customer': 7, 'cost': 762}, {'facility': 'F9', 'customer': 8, 'cost': 737}, {'facility': 'F9', 'customer': 9, 'cost': 284}, {'facility': 'F9', 'customer': 10, 'cost': 199}, {'facility': 'F9', 'customer': 11, 'cost': 824}, {'facility': 'F9', 'customer': 12, 'cost': 845}, {'facility': 'F9', 'customer': 13, 'cost': 985}, {'facility': 'F9', 'customer': 14, 'cost': 710}, {'facility': 'F9', 'customer': 15, 'cost': 201}, {'facility': 'F9', 'customer': 16, 'cost': 474}, {'facility': 'F9', 'customer': 17, 'cost': 616}, {'facility': 'F9', 'customer': 18, 'cost': 968}, {'facility': 'F9', 'customer': 19, 'cost': 80}], 'objective': 7664.0}","{'selected': ['F2', 'F3', 'F6'], 'assignments': ['F6', 'F2', 'F3', 'F3', 'F2', 'F3', 'F6', 'F3', 'F3', 'F3', 'F6', 'F6', 'F3', 'F6', 'F3', 'F3', 'F2', 'F3', 'F6', 'F2']}",14,nl,0
UFLP,UFLP,"Around town the recycling squad is planning which drop-off sites to maintain and how to route every block to a single maintained site. Closed sites won’t be available, blocks can’t split their pickups, and maintained sites can serve unlimited blocks. What makes one plan better is the total sum: all the maintenance fees for the kept sites plus the distances people from each block must travel to their assigned site — the lower that combined sum, the better the plan. The specific instance details follow below.

There are 7 sites and 17 blocks in this instance.

**Sites**
| site_id | maintenance_fee |
|---|---|
| F1 | 3209 |
| F2 | 6501 |
| F3 | 5009 |
| F4 | 8830 |
| F5 | 9900 |
| F6 | 8012 |
| F7 | 2989 |

**Blocks**
| block_id |
|---|
| 1 |
| 2 |
| 3 |
| 4 |
| 5 |
| 6 |
| 7 |
| 8 |
| 9 |
| 10 |
| 11 |
| 12 |
| 13 |
| 14 |
| 15 |
| 16 |
| 17 |

**Walking Distance**
| site_id | block_id | walking_distance |
|---|---|---|
| F1 | 1 | 926 |
| F1 | 2 | 488 |
| F1 | 3 | 580 |
| F1 | 4 | 693 |
| F1 | 5 | 180 |
| F1 | 6 | 728 |
| F1 | 7 | 220 |
| F1 | 8 | 180 |
| F1 | 9 | 324 |
| F1 | 10 | 585 |
| F1 | 11 | 421 |
| F1 | 12 | 105 |
| F1 | 13 | 21 |
| F1 | 14 | 854 |
| F1 | 15 | 525 |
| F1 | 16 | 96 |
| F1 | 17 | 496 |
| F2 | 1 | 394 |
| F2 | 2 | 451 |
| F2 | 3 | 361 |
| F2 | 4 | 518 |
| F2 | 5 | 860 |
| F2 | 6 | 43 |
| F2 | 7 | 277 |
| F2 | 8 | 526 |
| F2 | 9 | 888 |
| F2 | 10 | 789 |
| F2 | 11 | 944 |
| F2 | 12 | 145 |
| F2 | 13 | 380 |
| F2 | 14 | 183 |
| F2 | 15 | 378 |
| F2 | 16 | 507 |
| F2 | 17 | 987 |
| F3 | 1 | 511 |
| F3 | 2 | 207 |
| F3 | 3 | 797 |
| F3 | 4 | 41 |
| F3 | 5 | 334 |
| F3 | 6 | 374 |
| F3 | 7 | 844 |
| F3 | 8 | 710 |
| F3 | 9 | 689 |
| F3 | 10 | 213 |
| F3 | 11 | 171 |
| F3 | 12 | 934 |
| F3 | 13 | 284 |
| F3 | 14 | 604 |
| F3 | 15 | 139 |
| F3 | 16 | 144 |
| F3 | 17 | 58 |
| F4 | 1 | 788 |
| F4 | 2 | 181 |
| F4 | 3 | 817 |
| F4 | 4 | 172 |
| F4 | 5 | 585 |
| F4 | 6 | 539 |
| F4 | 7 | 827 |
| F4 | 8 | 117 |
| F4 | 9 | 454 |
| F4 | 10 | 91 |
| F4 | 11 | 106 |
| F4 | 12 | 855 |
| F4 | 13 | 131 |
| F4 | 14 | 851 |
| F4 | 15 | 520 |
| F4 | 16 | 862 |
| F4 | 17 | 382 |
| F5 | 1 | 460 |
| F5 | 2 | 682 |
| F5 | 3 | 80 |
| F5 | 4 | 482 |
| F5 | 5 | 162 |
| F5 | 6 | 168 |
| F5 | 7 | 721 |
| F5 | 8 | 667 |
| F5 | 9 | 356 |
| F5 | 10 | 57 |
| F5 | 11 | 490 |
| F5 | 12 | 274 |
| F5 | 13 | 132 |
| F5 | 14 | 328 |
| F5 | 15 | 461 |
| F5 | 16 | 170 |
| F5 | 17 | 47 |
| F6 | 1 | 632 |
| F6 | 2 | 736 |
| F6 | 3 | 549 |
| F6 | 4 | 171 |
| F6 | 5 | 121 |
| F6 | 6 | 16 |
| F6 | 7 | 986 |
| F6 | 8 | 224 |
| F6 | 9 | 827 |
| F6 | 10 | 311 |
| F6 | 11 | 452 |
| F6 | 12 | 330 |
| F6 | 13 | 46 |
| F6 | 14 | 274 |
| F6 | 15 | 330 |
| F6 | 16 | 731 |
| F6 | 17 | 704 |
| F7 | 1 | 310 |
| F7 | 2 | 998 |
| F7 | 3 | 834 |
| F7 | 4 | 802 |
| F7 | 5 | 234 |
| F7 | 6 | 701 |
| F7 | 7 | 257 |
| F7 | 8 | 402 |
| F7 | 9 | 817 |
| F7 | 10 | 717 |
| F7 | 11 | 341 |
| F7 | 12 | 315 |
| F7 | 13 | 87 |
| F7 | 14 | 5 |
| F7 | 15 | 822 |
| F7 | 16 | 381 |
| F7 | 17 | 483 |

Also, when you send your plan back, please stick to this simple JSON layout so it's easy to check automatically.

{
  ""solution"": {
    ""selected"": [<site_to_open>, <site_to_open>, ...],
    ""assignments"": [<chosen_open_site>, <chosen_open_site>, ...]
  }
}

Think of it like a short form: ""selected"" is the list of drop-off sites you decide to keep maintained, and ""assignments"" is, for each block in the same order as the instance, which maintained site that block will use. This JSON is just a sketch of the shape I expect — it’s not the real answer itself.

Please make sure every identifier you use matches exactly what’s in the instance input — don’t rename or invent labels. 
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'opening_costs': [3209, 6501, 5009, 8830, 9900, 8012, 2989], 'connection_costs': [[926, 488, 580, 693, 180, 728, 220, 180, 324, 585, 421, 105, 21, 854, 525, 96, 496], [394, 451, 361, 518, 860, 43, 277, 526, 888, 789, 944, 145, 380, 183, 378, 507, 987], [511, 207, 797, 41, 334, 374, 844, 710, 689, 213, 171, 934, 284, 604, 139, 144, 58], [788, 181, 817, 172, 585, 539, 827, 117, 454, 91, 106, 855, 131, 851, 520, 862, 382], [460, 682, 80, 482, 162, 168, 721, 667, 356, 57, 490, 274, 132, 328, 461, 170, 47], [632, 736, 549, 171, 121, 16, 986, 224, 827, 311, 452, 330, 46, 274, 330, 731, 704], [310, 998, 834, 802, 234, 701, 257, 402, 817, 717, 341, 315, 87, 5, 822, 381, 483]], 'objective': 10631.0}","{'open_facilities': [0], 'assignments': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]}",10631.0,"{'problem_type': 'UFLP', 'num_facilities': 7, 'num_customers': 17, 'facilities': [{'id': 'F1', 'opening_cost': 3209}, {'id': 'F2', 'opening_cost': 6501}, {'id': 'F3', 'opening_cost': 5009}, {'id': 'F4', 'opening_cost': 8830}, {'id': 'F5', 'opening_cost': 9900}, {'id': 'F6', 'opening_cost': 8012}, {'id': 'F7', 'opening_cost': 2989}], 'customers': [{'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}, {'id': 16}, {'id': 17}], 'connection_costs': [{'facility': 'F1', 'customer': 1, 'cost': 926}, {'facility': 'F1', 'customer': 2, 'cost': 488}, {'facility': 'F1', 'customer': 3, 'cost': 580}, {'facility': 'F1', 'customer': 4, 'cost': 693}, {'facility': 'F1', 'customer': 5, 'cost': 180}, {'facility': 'F1', 'customer': 6, 'cost': 728}, {'facility': 'F1', 'customer': 7, 'cost': 220}, {'facility': 'F1', 'customer': 8, 'cost': 180}, {'facility': 'F1', 'customer': 9, 'cost': 324}, {'facility': 'F1', 'customer': 10, 'cost': 585}, {'facility': 'F1', 'customer': 11, 'cost': 421}, {'facility': 'F1', 'customer': 12, 'cost': 105}, {'facility': 'F1', 'customer': 13, 'cost': 21}, {'facility': 'F1', 'customer': 14, 'cost': 854}, {'facility': 'F1', 'customer': 15, 'cost': 525}, {'facility': 'F1', 'customer': 16, 'cost': 96}, {'facility': 'F1', 'customer': 17, 'cost': 496}, {'facility': 'F2', 'customer': 1, 'cost': 394}, {'facility': 'F2', 'customer': 2, 'cost': 451}, {'facility': 'F2', 'customer': 3, 'cost': 361}, {'facility': 'F2', 'customer': 4, 'cost': 518}, {'facility': 'F2', 'customer': 5, 'cost': 860}, {'facility': 'F2', 'customer': 6, 'cost': 43}, {'facility': 'F2', 'customer': 7, 'cost': 277}, {'facility': 'F2', 'customer': 8, 'cost': 526}, {'facility': 'F2', 'customer': 9, 'cost': 888}, {'facility': 'F2', 'customer': 10, 'cost': 789}, {'facility': 'F2', 'customer': 11, 'cost': 944}, {'facility': 'F2', 'customer': 12, 'cost': 145}, {'facility': 'F2', 'customer': 13, 'cost': 380}, {'facility': 'F2', 'customer': 14, 'cost': 183}, {'facility': 'F2', 'customer': 15, 'cost': 378}, {'facility': 'F2', 'customer': 16, 'cost': 507}, {'facility': 'F2', 'customer': 17, 'cost': 987}, {'facility': 'F3', 'customer': 1, 'cost': 511}, {'facility': 'F3', 'customer': 2, 'cost': 207}, {'facility': 'F3', 'customer': 3, 'cost': 797}, {'facility': 'F3', 'customer': 4, 'cost': 41}, {'facility': 'F3', 'customer': 5, 'cost': 334}, {'facility': 'F3', 'customer': 6, 'cost': 374}, {'facility': 'F3', 'customer': 7, 'cost': 844}, {'facility': 'F3', 'customer': 8, 'cost': 710}, {'facility': 'F3', 'customer': 9, 'cost': 689}, {'facility': 'F3', 'customer': 10, 'cost': 213}, {'facility': 'F3', 'customer': 11, 'cost': 171}, {'facility': 'F3', 'customer': 12, 'cost': 934}, {'facility': 'F3', 'customer': 13, 'cost': 284}, {'facility': 'F3', 'customer': 14, 'cost': 604}, {'facility': 'F3', 'customer': 15, 'cost': 139}, {'facility': 'F3', 'customer': 16, 'cost': 144}, {'facility': 'F3', 'customer': 17, 'cost': 58}, {'facility': 'F4', 'customer': 1, 'cost': 788}, {'facility': 'F4', 'customer': 2, 'cost': 181}, {'facility': 'F4', 'customer': 3, 'cost': 817}, {'facility': 'F4', 'customer': 4, 'cost': 172}, {'facility': 'F4', 'customer': 5, 'cost': 585}, {'facility': 'F4', 'customer': 6, 'cost': 539}, {'facility': 'F4', 'customer': 7, 'cost': 827}, {'facility': 'F4', 'customer': 8, 'cost': 117}, {'facility': 'F4', 'customer': 9, 'cost': 454}, {'facility': 'F4', 'customer': 10, 'cost': 91}, {'facility': 'F4', 'customer': 11, 'cost': 106}, {'facility': 'F4', 'customer': 12, 'cost': 855}, {'facility': 'F4', 'customer': 13, 'cost': 131}, {'facility': 'F4', 'customer': 14, 'cost': 851}, {'facility': 'F4', 'customer': 15, 'cost': 520}, {'facility': 'F4', 'customer': 16, 'cost': 862}, {'facility': 'F4', 'customer': 17, 'cost': 382}, {'facility': 'F5', 'customer': 1, 'cost': 460}, {'facility': 'F5', 'customer': 2, 'cost': 682}, {'facility': 'F5', 'customer': 3, 'cost': 80}, {'facility': 'F5', 'customer': 4, 'cost': 482}, {'facility': 'F5', 'customer': 5, 'cost': 162}, {'facility': 'F5', 'customer': 6, 'cost': 168}, {'facility': 'F5', 'customer': 7, 'cost': 721}, {'facility': 'F5', 'customer': 8, 'cost': 667}, {'facility': 'F5', 'customer': 9, 'cost': 356}, {'facility': 'F5', 'customer': 10, 'cost': 57}, {'facility': 'F5', 'customer': 11, 'cost': 490}, {'facility': 'F5', 'customer': 12, 'cost': 274}, {'facility': 'F5', 'customer': 13, 'cost': 132}, {'facility': 'F5', 'customer': 14, 'cost': 328}, {'facility': 'F5', 'customer': 15, 'cost': 461}, {'facility': 'F5', 'customer': 16, 'cost': 170}, {'facility': 'F5', 'customer': 17, 'cost': 47}, {'facility': 'F6', 'customer': 1, 'cost': 632}, {'facility': 'F6', 'customer': 2, 'cost': 736}, {'facility': 'F6', 'customer': 3, 'cost': 549}, {'facility': 'F6', 'customer': 4, 'cost': 171}, {'facility': 'F6', 'customer': 5, 'cost': 121}, {'facility': 'F6', 'customer': 6, 'cost': 16}, {'facility': 'F6', 'customer': 7, 'cost': 986}, {'facility': 'F6', 'customer': 8, 'cost': 224}, {'facility': 'F6', 'customer': 9, 'cost': 827}, {'facility': 'F6', 'customer': 10, 'cost': 311}, {'facility': 'F6', 'customer': 11, 'cost': 452}, {'facility': 'F6', 'customer': 12, 'cost': 330}, {'facility': 'F6', 'customer': 13, 'cost': 46}, {'facility': 'F6', 'customer': 14, 'cost': 274}, {'facility': 'F6', 'customer': 15, 'cost': 330}, {'facility': 'F6', 'customer': 16, 'cost': 731}, {'facility': 'F6', 'customer': 17, 'cost': 704}, {'facility': 'F7', 'customer': 1, 'cost': 310}, {'facility': 'F7', 'customer': 2, 'cost': 998}, {'facility': 'F7', 'customer': 3, 'cost': 834}, {'facility': 'F7', 'customer': 4, 'cost': 802}, {'facility': 'F7', 'customer': 5, 'cost': 234}, {'facility': 'F7', 'customer': 6, 'cost': 701}, {'facility': 'F7', 'customer': 7, 'cost': 257}, {'facility': 'F7', 'customer': 8, 'cost': 402}, {'facility': 'F7', 'customer': 9, 'cost': 817}, {'facility': 'F7', 'customer': 10, 'cost': 717}, {'facility': 'F7', 'customer': 11, 'cost': 341}, {'facility': 'F7', 'customer': 12, 'cost': 315}, {'facility': 'F7', 'customer': 13, 'cost': 87}, {'facility': 'F7', 'customer': 14, 'cost': 5}, {'facility': 'F7', 'customer': 15, 'cost': 822}, {'facility': 'F7', 'customer': 16, 'cost': 381}, {'facility': 'F7', 'customer': 17, 'cost': 483}], 'objective': 10631.0}","{'selected': ['F1'], 'assignments': ['F1', 'F1', 'F1', 'F1', 'F1', 'F1', 'F1', 'F1', 'F1', 'F1', 'F1', 'F1', 'F1', 'F1', 'F1', 'F1', 'F1']}",15,markdown_table,1
UFLP,UFLP,"Someone managing the farm markets needs to pick which roadside produce stands will operate this season and assign each regular buyer to a single open stand. Better choices are those that cut the total expense, calculated by adding the operating costs for all stands left open plus the travel cost for each customer to their chosen stand. Each customer gets exactly one operating stand and nobody visits a closed one; stands aren’t capped on how many people they can serve. The exact numbers are shown below.

There are 7 candidate roadside produce stands, 17 regular buyers, and the stand opening costs are 1000, 1000, 1000, 1000, 1000, 1000, 1000.
Stand F1 has an opening cost of 1000.
Stand F2 has an opening cost of 1000.
Stand F3 has an opening cost of 1000.
Stand F4 has an opening cost of 1000.
Stand F5 has an opening cost of 1000.
Stand F6 has an opening cost of 1000.
Stand F7 has an opening cost of 1000.
Buyer A would incur travel cost 767 to visit stand F1.
Buyer B would incur travel cost 116 to visit stand F1.
Buyer C would incur travel cost 167 to visit stand F1.
Buyer D would incur travel cost 69 to visit stand F1.
Buyer E would incur travel cost 382 to visit stand F1.
Buyer F would incur travel cost 851 to visit stand F1.
Buyer G would incur travel cost 777 to visit stand F1.
Buyer H would incur travel cost 711 to visit stand F1.
Buyer I would incur travel cost 50 to visit stand F1.
Buyer J would incur travel cost 85 to visit stand F1.
Buyer K would incur travel cost 653 to visit stand F1.
Buyer L would incur travel cost 584 to visit stand F1.
Buyer M would incur travel cost 188 to visit stand F1.
Buyer N would incur travel cost 850 to visit stand F1.
Buyer O would incur travel cost 795 to visit stand F1.
Buyer P would incur travel cost 24 to visit stand F1.
Buyer Q would incur travel cost 413 to visit stand F1.
Buyer A would incur travel cost 61 to visit stand F2.
Buyer B would incur travel cost 539 to visit stand F2.
Buyer C would incur travel cost 673 to visit stand F2.
Buyer D would incur travel cost 873 to visit stand F2.
Buyer E would incur travel cost 954 to visit stand F2.
Buyer F would incur travel cost 393 to visit stand F2.
Buyer G would incur travel cost 120 to visit stand F2.
Buyer H would incur travel cost 738 to visit stand F2.
Buyer I would incur travel cost 720 to visit stand F2.
Buyer J would incur travel cost 377 to visit stand F2.
Buyer K would incur travel cost 845 to visit stand F2.
Buyer L would incur travel cost 786 to visit stand F2.
Buyer M would incur travel cost 656 to visit stand F2.
Buyer N would incur travel cost 799 to visit stand F2.
Buyer O would incur travel cost 12 to visit stand F2.
Buyer P would incur travel cost 462 to visit stand F2.
Buyer Q would incur travel cost 711 to visit stand F2.
Buyer A would incur travel cost 100 to visit stand F3.
Buyer B would incur travel cost 787 to visit stand F3.
Buyer C would incur travel cost 19 to visit stand F3.
Buyer D would incur travel cost 740 to visit stand F3.
Buyer E would incur travel cost 1 to visit stand F3.
Buyer F would incur travel cost 391 to visit stand F3.
Buyer G would incur travel cost 927 to visit stand F3.
Buyer H would incur travel cost 929 to visit stand F3.
Buyer I would incur travel cost 819 to visit stand F3.
Buyer J would incur travel cost 849 to visit stand F3.
Buyer K would incur travel cost 287 to visit stand F3.
Buyer L would incur travel cost 416 to visit stand F3.
Buyer M would incur travel cost 742 to visit stand F3.
Buyer N would incur travel cost 926 to visit stand F3.
Buyer O would incur travel cost 517 to visit stand F3.
Buyer P would incur travel cost 454 to visit stand F3.
Buyer Q would incur travel cost 92 to visit stand F3.
Buyer A would incur travel cost 683 to visit stand F4.
Buyer B would incur travel cost 590 to visit stand F4.
Buyer C would incur travel cost 631 to visit stand F4.
Buyer D would incur travel cost 710 to visit stand F4.
Buyer E would incur travel cost 504 to visit stand F4.
Buyer F would incur travel cost 514 to visit stand F4.
Buyer G would incur travel cost 481 to visit stand F4.
Buyer H would incur travel cost 686 to visit stand F4.
Buyer I would incur travel cost 892 to visit stand F4.
Buyer J would incur travel cost 238 to visit stand F4.
Buyer K would incur travel cost 462 to visit stand F4.
Buyer L would incur travel cost 859 to visit stand F4.
Buyer M would incur travel cost 889 to visit stand F4.
Buyer N would incur travel cost 692 to visit stand F4.
Buyer O would incur travel cost 860 to visit stand F4.
Buyer P would incur travel cost 973 to visit stand F4.
Buyer Q would incur travel cost 608 to visit stand F4.
Buyer A would incur travel cost 840 to visit stand F5.
Buyer B would incur travel cost 176 to visit stand F5.
Buyer C would incur travel cost 167 to visit stand F5.
Buyer D would incur travel cost 298 to visit stand F5.
Buyer E would incur travel cost 132 to visit stand F5.
Buyer F would incur travel cost 186 to visit stand F5.
Buyer G would incur travel cost 948 to visit stand F5.
Buyer H would incur travel cost 118 to visit stand F5.
Buyer I would incur travel cost 320 to visit stand F5.
Buyer J would incur travel cost 368 to visit stand F5.
Buyer K would incur travel cost 776 to visit stand F5.
Buyer L would incur travel cost 488 to visit stand F5.
Buyer M would incur travel cost 193 to visit stand F5.
Buyer N would incur travel cost 474 to visit stand F5.
Buyer O would incur travel cost 49 to visit stand F5.
Buyer P would incur travel cost 792 to visit stand F5.
Buyer Q would incur travel cost 574 to visit stand F5.
Buyer A would incur travel cost 664 to visit stand F6.
Buyer B would incur travel cost 257 to visit stand F6.
Buyer C would incur travel cost 926 to visit stand F6.
Buyer D would incur travel cost 575 to visit stand F6.
Buyer E would incur travel cost 139 to visit stand F6.
Buyer F would incur travel cost 183 to visit stand F6.
Buyer G would incur travel cost 700 to visit stand F6.
Buyer H would incur travel cost 199 to visit stand F6.
Buyer I would incur travel cost 790 to visit stand F6.
Buyer J would incur travel cost 219 to visit stand F6.
Buyer K would incur travel cost 723 to visit stand F6.
Buyer L would incur travel cost 540 to visit stand F6.
Buyer M would incur travel cost 696 to visit stand F6.
Buyer N would incur travel cost 254 to visit stand F6.
Buyer O would incur travel cost 61 to visit stand F6.
Buyer P would incur travel cost 3 to visit stand F6.
Buyer Q would incur travel cost 452 to visit stand F6.
Buyer A would incur travel cost 217 to visit stand F7.
Buyer B would incur travel cost 138 to visit stand F7.
Buyer C would incur travel cost 929 to visit stand F7.
Buyer D would incur travel cost 204 to visit stand F7.
Buyer E would incur travel cost 873 to visit stand F7.
Buyer F would incur travel cost 497 to visit stand F7.
Buyer G would incur travel cost 708 to visit stand F7.
Buyer H would incur travel cost 620 to visit stand F7.
Buyer I would incur travel cost 957 to visit stand F7.
Buyer J would incur travel cost 239 to visit stand F7.
Buyer K would incur travel cost 640 to visit stand F7.
Buyer L would incur travel cost 841 to visit stand F7.
Buyer M would incur travel cost 535 to visit stand F7.
Buyer N would incur travel cost 984 to visit stand F7.
Buyer O would incur travel cost 719 to visit stand F7.
Buyer P would incur travel cost 294 to visit stand F7.
Buyer Q would incur travel cost 550 to visit stand F7.
These numbers are for the manager to use in choosing which stands to open and how to assign buyers so the total expense (stand opening costs plus travel costs) is minimized.

If you want to send me the plan in a tidy, machine-friendly way, just use this simple JSON shape below — it shows which stands to open and which open stand each buyer will go to.

{
  ""solution"": {
    ""selected"": [<site_to_open>, <site_to_open>, ...],
    ""assignments"": [<chosen_open_site>, <chosen_open_site>, ...]
  }
}

""selected"" is the list of stands you'll keep operating this season. ""assignments"" says, for each regular buyer (in the same order as the instance), which open stand they go to. Think of it like filling out a short form: pick the open stands, then list each buyer's chosen stand. This is just a sketch of the shape I need, not the actual filled-in answer.

Please make sure to use the exact identifiers from the instance input — do not rename them or invent new ones.  
Valid identifiers look like plain numbers such as ""1"" or ""23"", single capital letters like ""A"" or ""B"", or a capital letter followed by digits like ""A1"" or ""X7"".","{'opening_costs': [1000, 1000, 1000, 1000, 1000, 1000, 1000], 'connection_costs': [[767, 116, 167, 69, 382, 851, 777, 711, 50, 85, 653, 584, 188, 850, 795, 24, 413], [61, 539, 673, 873, 954, 393, 120, 738, 720, 377, 845, 786, 656, 799, 12, 462, 711], [100, 787, 19, 740, 1, 391, 927, 929, 819, 849, 287, 416, 742, 926, 517, 454, 92], [683, 590, 631, 710, 504, 514, 481, 686, 892, 238, 462, 859, 889, 692, 860, 973, 608], [840, 176, 167, 298, 132, 186, 948, 118, 320, 368, 776, 488, 193, 474, 49, 792, 574], [664, 257, 926, 575, 139, 183, 700, 199, 790, 219, 723, 540, 696, 254, 61, 3, 452], [217, 138, 929, 204, 873, 497, 708, 620, 957, 239, 640, 841, 535, 984, 719, 294, 550]], 'objective': 5823.0}","{'open_facilities': [0, 2, 5], 'assignments': [2, 0, 2, 0, 2, 5, 5, 5, 0, 0, 2, 2, 0, 5, 5, 5, 2]}",5823.0,"{'problem_type': 'UFLP', 'num_facilities': 7, 'num_customers': 17, 'facilities': [{'id': 'F1', 'opening_cost': 1000}, {'id': 'F2', 'opening_cost': 1000}, {'id': 'F3', 'opening_cost': 1000}, {'id': 'F4', 'opening_cost': 1000}, {'id': 'F5', 'opening_cost': 1000}, {'id': 'F6', 'opening_cost': 1000}, {'id': 'F7', 'opening_cost': 1000}], 'customers': [{'id': 'A'}, {'id': 'B'}, {'id': 'C'}, {'id': 'D'}, {'id': 'E'}, {'id': 'F'}, {'id': 'G'}, {'id': 'H'}, {'id': 'I'}, {'id': 'J'}, {'id': 'K'}, {'id': 'L'}, {'id': 'M'}, {'id': 'N'}, {'id': 'O'}, {'id': 'P'}, {'id': 'Q'}], 'connection_costs': [{'facility': 'F1', 'customer': 'A', 'cost': 767}, {'facility': 'F1', 'customer': 'B', 'cost': 116}, {'facility': 'F1', 'customer': 'C', 'cost': 167}, {'facility': 'F1', 'customer': 'D', 'cost': 69}, {'facility': 'F1', 'customer': 'E', 'cost': 382}, {'facility': 'F1', 'customer': 'F', 'cost': 851}, {'facility': 'F1', 'customer': 'G', 'cost': 777}, {'facility': 'F1', 'customer': 'H', 'cost': 711}, {'facility': 'F1', 'customer': 'I', 'cost': 50}, {'facility': 'F1', 'customer': 'J', 'cost': 85}, {'facility': 'F1', 'customer': 'K', 'cost': 653}, {'facility': 'F1', 'customer': 'L', 'cost': 584}, {'facility': 'F1', 'customer': 'M', 'cost': 188}, {'facility': 'F1', 'customer': 'N', 'cost': 850}, {'facility': 'F1', 'customer': 'O', 'cost': 795}, {'facility': 'F1', 'customer': 'P', 'cost': 24}, {'facility': 'F1', 'customer': 'Q', 'cost': 413}, {'facility': 'F2', 'customer': 'A', 'cost': 61}, {'facility': 'F2', 'customer': 'B', 'cost': 539}, {'facility': 'F2', 'customer': 'C', 'cost': 673}, {'facility': 'F2', 'customer': 'D', 'cost': 873}, {'facility': 'F2', 'customer': 'E', 'cost': 954}, {'facility': 'F2', 'customer': 'F', 'cost': 393}, {'facility': 'F2', 'customer': 'G', 'cost': 120}, {'facility': 'F2', 'customer': 'H', 'cost': 738}, {'facility': 'F2', 'customer': 'I', 'cost': 720}, {'facility': 'F2', 'customer': 'J', 'cost': 377}, {'facility': 'F2', 'customer': 'K', 'cost': 845}, {'facility': 'F2', 'customer': 'L', 'cost': 786}, {'facility': 'F2', 'customer': 'M', 'cost': 656}, {'facility': 'F2', 'customer': 'N', 'cost': 799}, {'facility': 'F2', 'customer': 'O', 'cost': 12}, {'facility': 'F2', 'customer': 'P', 'cost': 462}, {'facility': 'F2', 'customer': 'Q', 'cost': 711}, {'facility': 'F3', 'customer': 'A', 'cost': 100}, {'facility': 'F3', 'customer': 'B', 'cost': 787}, {'facility': 'F3', 'customer': 'C', 'cost': 19}, {'facility': 'F3', 'customer': 'D', 'cost': 740}, {'facility': 'F3', 'customer': 'E', 'cost': 1}, {'facility': 'F3', 'customer': 'F', 'cost': 391}, {'facility': 'F3', 'customer': 'G', 'cost': 927}, {'facility': 'F3', 'customer': 'H', 'cost': 929}, {'facility': 'F3', 'customer': 'I', 'cost': 819}, {'facility': 'F3', 'customer': 'J', 'cost': 849}, {'facility': 'F3', 'customer': 'K', 'cost': 287}, {'facility': 'F3', 'customer': 'L', 'cost': 416}, {'facility': 'F3', 'customer': 'M', 'cost': 742}, {'facility': 'F3', 'customer': 'N', 'cost': 926}, {'facility': 'F3', 'customer': 'O', 'cost': 517}, {'facility': 'F3', 'customer': 'P', 'cost': 454}, {'facility': 'F3', 'customer': 'Q', 'cost': 92}, {'facility': 'F4', 'customer': 'A', 'cost': 683}, {'facility': 'F4', 'customer': 'B', 'cost': 590}, {'facility': 'F4', 'customer': 'C', 'cost': 631}, {'facility': 'F4', 'customer': 'D', 'cost': 710}, {'facility': 'F4', 'customer': 'E', 'cost': 504}, {'facility': 'F4', 'customer': 'F', 'cost': 514}, {'facility': 'F4', 'customer': 'G', 'cost': 481}, {'facility': 'F4', 'customer': 'H', 'cost': 686}, {'facility': 'F4', 'customer': 'I', 'cost': 892}, {'facility': 'F4', 'customer': 'J', 'cost': 238}, {'facility': 'F4', 'customer': 'K', 'cost': 462}, {'facility': 'F4', 'customer': 'L', 'cost': 859}, {'facility': 'F4', 'customer': 'M', 'cost': 889}, {'facility': 'F4', 'customer': 'N', 'cost': 692}, {'facility': 'F4', 'customer': 'O', 'cost': 860}, {'facility': 'F4', 'customer': 'P', 'cost': 973}, {'facility': 'F4', 'customer': 'Q', 'cost': 608}, {'facility': 'F5', 'customer': 'A', 'cost': 840}, {'facility': 'F5', 'customer': 'B', 'cost': 176}, {'facility': 'F5', 'customer': 'C', 'cost': 167}, {'facility': 'F5', 'customer': 'D', 'cost': 298}, {'facility': 'F5', 'customer': 'E', 'cost': 132}, {'facility': 'F5', 'customer': 'F', 'cost': 186}, {'facility': 'F5', 'customer': 'G', 'cost': 948}, {'facility': 'F5', 'customer': 'H', 'cost': 118}, {'facility': 'F5', 'customer': 'I', 'cost': 320}, {'facility': 'F5', 'customer': 'J', 'cost': 368}, {'facility': 'F5', 'customer': 'K', 'cost': 776}, {'facility': 'F5', 'customer': 'L', 'cost': 488}, {'facility': 'F5', 'customer': 'M', 'cost': 193}, {'facility': 'F5', 'customer': 'N', 'cost': 474}, {'facility': 'F5', 'customer': 'O', 'cost': 49}, {'facility': 'F5', 'customer': 'P', 'cost': 792}, {'facility': 'F5', 'customer': 'Q', 'cost': 574}, {'facility': 'F6', 'customer': 'A', 'cost': 664}, {'facility': 'F6', 'customer': 'B', 'cost': 257}, {'facility': 'F6', 'customer': 'C', 'cost': 926}, {'facility': 'F6', 'customer': 'D', 'cost': 575}, {'facility': 'F6', 'customer': 'E', 'cost': 139}, {'facility': 'F6', 'customer': 'F', 'cost': 183}, {'facility': 'F6', 'customer': 'G', 'cost': 700}, {'facility': 'F6', 'customer': 'H', 'cost': 199}, {'facility': 'F6', 'customer': 'I', 'cost': 790}, {'facility': 'F6', 'customer': 'J', 'cost': 219}, {'facility': 'F6', 'customer': 'K', 'cost': 723}, {'facility': 'F6', 'customer': 'L', 'cost': 540}, {'facility': 'F6', 'customer': 'M', 'cost': 696}, {'facility': 'F6', 'customer': 'N', 'cost': 254}, {'facility': 'F6', 'customer': 'O', 'cost': 61}, {'facility': 'F6', 'customer': 'P', 'cost': 3}, {'facility': 'F6', 'customer': 'Q', 'cost': 452}, {'facility': 'F7', 'customer': 'A', 'cost': 217}, {'facility': 'F7', 'customer': 'B', 'cost': 138}, {'facility': 'F7', 'customer': 'C', 'cost': 929}, {'facility': 'F7', 'customer': 'D', 'cost': 204}, {'facility': 'F7', 'customer': 'E', 'cost': 873}, {'facility': 'F7', 'customer': 'F', 'cost': 497}, {'facility': 'F7', 'customer': 'G', 'cost': 708}, {'facility': 'F7', 'customer': 'H', 'cost': 620}, {'facility': 'F7', 'customer': 'I', 'cost': 957}, {'facility': 'F7', 'customer': 'J', 'cost': 239}, {'facility': 'F7', 'customer': 'K', 'cost': 640}, {'facility': 'F7', 'customer': 'L', 'cost': 841}, {'facility': 'F7', 'customer': 'M', 'cost': 535}, {'facility': 'F7', 'customer': 'N', 'cost': 984}, {'facility': 'F7', 'customer': 'O', 'cost': 719}, {'facility': 'F7', 'customer': 'P', 'cost': 294}, {'facility': 'F7', 'customer': 'Q', 'cost': 550}], 'objective': 5823.0}","{'selected': ['F1', 'F3', 'F6'], 'assignments': ['F3', 'F1', 'F3', 'F1', 'F3', 'F6', 'F6', 'F6', 'F1', 'F1', 'F3', 'F3', 'F1', 'F6', 'F6', 'F6', 'F3']}",16,nl,names
UFLP,UFLP,"At the conservatory the director must decide which piano practice rooms to operate and then send every musician to one of those open rooms. The smart trade-off is obvious in plain terms: keep an eye on the sum of the room upkeep bills plus the walking time for all musicians, and choose the setup with the least total. Each musician is assigned to exactly one available room — closed rooms aren’t options — and open rooms can host multiple musicians without limit. The specific room costs and walking distances are listed below.

There are 6 rooms and 15 musicians in this instance.

**Rooms**
| room_id | room_upkeep_cost |
|---|---|
| F1 | 1424 |
| F2 | 1555 |
| F3 | 1477 |
| F4 | 1444 |
| F5 | 1106 |
| F6 | 1690 |

**Musicians**
| musician_id |
|---|
| 0 |
| 1 |
| 2 |
| 3 |
| 4 |
| 5 |
| 6 |
| 7 |
| 8 |
| 9 |
| 10 |
| 11 |
| 12 |
| 13 |
| 14 |

**Walking Time**
| room_id | musician_id | walking_time |
|---|---|---|
| F1 | 0 | 665 |
| F1 | 1 | 222 |
| F1 | 2 | 654 |
| F1 | 3 | 847 |
| F1 | 4 | 128 |
| F1 | 5 | 201 |
| F1 | 6 | 223 |
| F1 | 7 | 309 |
| F1 | 8 | 85 |
| F1 | 9 | 241 |
| F1 | 10 | 748 |
| F1 | 11 | 378 |
| F1 | 12 | 399 |
| F1 | 13 | 580 |
| F1 | 14 | 208 |
| F2 | 0 | 417 |
| F2 | 1 | 295 |
| F2 | 2 | 658 |
| F2 | 3 | 4 |
| F2 | 4 | 317 |
| F2 | 5 | 899 |
| F2 | 6 | 983 |
| F2 | 7 | 344 |
| F2 | 8 | 459 |
| F2 | 9 | 0 |
| F2 | 10 | 113 |
| F2 | 11 | 315 |
| F2 | 12 | 482 |
| F2 | 13 | 446 |
| F2 | 14 | 189 |
| F3 | 0 | 542 |
| F3 | 1 | 725 |
| F3 | 2 | 511 |
| F3 | 3 | 40 |
| F3 | 4 | 998 |
| F3 | 5 | 41 |
| F3 | 6 | 738 |
| F3 | 7 | 610 |
| F3 | 8 | 802 |
| F3 | 9 | 585 |
| F3 | 10 | 106 |
| F3 | 11 | 919 |
| F3 | 12 | 864 |
| F3 | 13 | 861 |
| F3 | 14 | 262 |
| F4 | 0 | 650 |
| F4 | 1 | 925 |
| F4 | 2 | 606 |
| F4 | 3 | 780 |
| F4 | 4 | 936 |
| F4 | 5 | 437 |
| F4 | 6 | 244 |
| F4 | 7 | 72 |
| F4 | 8 | 431 |
| F4 | 9 | 359 |
| F4 | 10 | 721 |
| F4 | 11 | 341 |
| F4 | 12 | 850 |
| F4 | 13 | 358 |
| F4 | 14 | 300 |
| F5 | 0 | 917 |
| F5 | 1 | 115 |
| F5 | 2 | 963 |
| F5 | 3 | 978 |
| F5 | 4 | 705 |
| F5 | 5 | 232 |
| F5 | 6 | 881 |
| F5 | 7 | 710 |
| F5 | 8 | 514 |
| F5 | 9 | 306 |
| F5 | 10 | 95 |
| F5 | 11 | 128 |
| F5 | 12 | 972 |
| F5 | 13 | 179 |
| F5 | 14 | 766 |
| F6 | 0 | 96 |
| F6 | 1 | 467 |
| F6 | 2 | 912 |
| F6 | 3 | 328 |
| F6 | 4 | 3 |
| F6 | 5 | 571 |
| F6 | 6 | 196 |
| F6 | 7 | 891 |
| F6 | 8 | 74 |
| F6 | 9 | 633 |
| F6 | 10 | 470 |
| F6 | 11 | 519 |
| F6 | 12 | 943 |
| F6 | 13 | 272 |
| F6 | 14 | 322 |

You can just give the plan in a tiny JSON shape like this — it makes it easy to check which rooms get opened and where each musician is sent:

{
  ""solution"": {
    ""selected"": [<room_to_open>, <room_to_open>, ...],
    ""assignments"": [<chosen_open_room>, <chosen_open_room>, ...]
  }
}

""selected"" is the list of practice rooms you decide to operate. ""assignments"" lists, for every musician in order, which open room they go to. Think of it like filling out a simple form: pick the rooms you’ll run, then list each musician’s room.

This is just a sketch of the shape I expect, not the actual answer. Please use the exact identifiers from the instance input — do not rename them or invent new labels. Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'opening_costs': [1424, 1555, 1477, 1444, 1106, 1690], 'connection_costs': [[665, 222, 654, 847, 128, 201, 223, 309, 85, 241, 748, 378, 399, 580, 208], [417, 295, 658, 4, 317, 899, 983, 344, 459, 0, 113, 315, 482, 446, 189], [542, 725, 511, 40, 998, 41, 738, 610, 802, 585, 106, 919, 864, 861, 262], [650, 925, 606, 780, 936, 437, 244, 72, 431, 359, 721, 341, 850, 358, 300], [917, 115, 963, 978, 705, 232, 881, 710, 514, 306, 95, 128, 972, 179, 766], [96, 467, 912, 328, 3, 571, 196, 891, 74, 633, 470, 519, 943, 272, 322]], 'objective': 6684.0}","{'open_facilities': [0, 1], 'assignments': [1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1]}",6684.0,"{'problem_type': 'UFLP', 'num_facilities': 6, 'num_customers': 15, 'facilities': [{'id': 'F1', 'opening_cost': 1424}, {'id': 'F2', 'opening_cost': 1555}, {'id': 'F3', 'opening_cost': 1477}, {'id': 'F4', 'opening_cost': 1444}, {'id': 'F5', 'opening_cost': 1106}, {'id': 'F6', 'opening_cost': 1690}], 'customers': [{'id': 0}, {'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}], 'connection_costs': [{'facility': 'F1', 'customer': 0, 'cost': 665}, {'facility': 'F1', 'customer': 1, 'cost': 222}, {'facility': 'F1', 'customer': 2, 'cost': 654}, {'facility': 'F1', 'customer': 3, 'cost': 847}, {'facility': 'F1', 'customer': 4, 'cost': 128}, {'facility': 'F1', 'customer': 5, 'cost': 201}, {'facility': 'F1', 'customer': 6, 'cost': 223}, {'facility': 'F1', 'customer': 7, 'cost': 309}, {'facility': 'F1', 'customer': 8, 'cost': 85}, {'facility': 'F1', 'customer': 9, 'cost': 241}, {'facility': 'F1', 'customer': 10, 'cost': 748}, {'facility': 'F1', 'customer': 11, 'cost': 378}, {'facility': 'F1', 'customer': 12, 'cost': 399}, {'facility': 'F1', 'customer': 13, 'cost': 580}, {'facility': 'F1', 'customer': 14, 'cost': 208}, {'facility': 'F2', 'customer': 0, 'cost': 417}, {'facility': 'F2', 'customer': 1, 'cost': 295}, {'facility': 'F2', 'customer': 2, 'cost': 658}, {'facility': 'F2', 'customer': 3, 'cost': 4}, {'facility': 'F2', 'customer': 4, 'cost': 317}, {'facility': 'F2', 'customer': 5, 'cost': 899}, {'facility': 'F2', 'customer': 6, 'cost': 983}, {'facility': 'F2', 'customer': 7, 'cost': 344}, {'facility': 'F2', 'customer': 8, 'cost': 459}, {'facility': 'F2', 'customer': 9, 'cost': 0}, {'facility': 'F2', 'customer': 10, 'cost': 113}, {'facility': 'F2', 'customer': 11, 'cost': 315}, {'facility': 'F2', 'customer': 12, 'cost': 482}, {'facility': 'F2', 'customer': 13, 'cost': 446}, {'facility': 'F2', 'customer': 14, 'cost': 189}, {'facility': 'F3', 'customer': 0, 'cost': 542}, {'facility': 'F3', 'customer': 1, 'cost': 725}, {'facility': 'F3', 'customer': 2, 'cost': 511}, {'facility': 'F3', 'customer': 3, 'cost': 40}, {'facility': 'F3', 'customer': 4, 'cost': 998}, {'facility': 'F3', 'customer': 5, 'cost': 41}, {'facility': 'F3', 'customer': 6, 'cost': 738}, {'facility': 'F3', 'customer': 7, 'cost': 610}, {'facility': 'F3', 'customer': 8, 'cost': 802}, {'facility': 'F3', 'customer': 9, 'cost': 585}, {'facility': 'F3', 'customer': 10, 'cost': 106}, {'facility': 'F3', 'customer': 11, 'cost': 919}, {'facility': 'F3', 'customer': 12, 'cost': 864}, {'facility': 'F3', 'customer': 13, 'cost': 861}, {'facility': 'F3', 'customer': 14, 'cost': 262}, {'facility': 'F4', 'customer': 0, 'cost': 650}, {'facility': 'F4', 'customer': 1, 'cost': 925}, {'facility': 'F4', 'customer': 2, 'cost': 606}, {'facility': 'F4', 'customer': 3, 'cost': 780}, {'facility': 'F4', 'customer': 4, 'cost': 936}, {'facility': 'F4', 'customer': 5, 'cost': 437}, {'facility': 'F4', 'customer': 6, 'cost': 244}, {'facility': 'F4', 'customer': 7, 'cost': 72}, {'facility': 'F4', 'customer': 8, 'cost': 431}, {'facility': 'F4', 'customer': 9, 'cost': 359}, {'facility': 'F4', 'customer': 10, 'cost': 721}, {'facility': 'F4', 'customer': 11, 'cost': 341}, {'facility': 'F4', 'customer': 12, 'cost': 850}, {'facility': 'F4', 'customer': 13, 'cost': 358}, {'facility': 'F4', 'customer': 14, 'cost': 300}, {'facility': 'F5', 'customer': 0, 'cost': 917}, {'facility': 'F5', 'customer': 1, 'cost': 115}, {'facility': 'F5', 'customer': 2, 'cost': 963}, {'facility': 'F5', 'customer': 3, 'cost': 978}, {'facility': 'F5', 'customer': 4, 'cost': 705}, {'facility': 'F5', 'customer': 5, 'cost': 232}, {'facility': 'F5', 'customer': 6, 'cost': 881}, {'facility': 'F5', 'customer': 7, 'cost': 710}, {'facility': 'F5', 'customer': 8, 'cost': 514}, {'facility': 'F5', 'customer': 9, 'cost': 306}, {'facility': 'F5', 'customer': 10, 'cost': 95}, {'facility': 'F5', 'customer': 11, 'cost': 128}, {'facility': 'F5', 'customer': 12, 'cost': 972}, {'facility': 'F5', 'customer': 13, 'cost': 179}, {'facility': 'F5', 'customer': 14, 'cost': 766}, {'facility': 'F6', 'customer': 0, 'cost': 96}, {'facility': 'F6', 'customer': 1, 'cost': 467}, {'facility': 'F6', 'customer': 2, 'cost': 912}, {'facility': 'F6', 'customer': 3, 'cost': 328}, {'facility': 'F6', 'customer': 4, 'cost': 3}, {'facility': 'F6', 'customer': 5, 'cost': 571}, {'facility': 'F6', 'customer': 6, 'cost': 196}, {'facility': 'F6', 'customer': 7, 'cost': 891}, {'facility': 'F6', 'customer': 8, 'cost': 74}, {'facility': 'F6', 'customer': 9, 'cost': 633}, {'facility': 'F6', 'customer': 10, 'cost': 470}, {'facility': 'F6', 'customer': 11, 'cost': 519}, {'facility': 'F6', 'customer': 12, 'cost': 943}, {'facility': 'F6', 'customer': 13, 'cost': 272}, {'facility': 'F6', 'customer': 14, 'cost': 322}], 'objective': 6684.0}","{'selected': ['F1', 'F2'], 'assignments': ['F2', 'F1', 'F1', 'F2', 'F1', 'F1', 'F1', 'F1', 'F1', 'F2', 'F2', 'F2', 'F1', 'F2', 'F2']}",17,markdown_table,0
UFLP,UFLP,"We’re organizing a citywide donation drive and need to pick which potential drop-off boxes to install and then decide which installed box each donor will go to. Each possible box costs money to place, and each donor incurs some detour to reach the box they’re assigned to, so the trick is to keep the total cost down by adding all the installation fees and every donor’s extra travel; a lower total means a better rollout. Also, every donor must be routed to one single box that’s actually been installed — no duplicates, no unassigned donors, and nobody should be told to use a box that wasn’t put out. The specific locations, costs, and donor positions are listed below.

There are 7 boxs and 15 donors in this instance.

**Boxs**
| box_id | installation_fee |
|---|---|
| F1 | 2000 |
| F2 | 2000 |
| F3 | 2000 |
| F4 | 2000 |
| F5 | 2000 |
| F6 | 2000 |
| F7 | 2000 |

**Donors**
| donor_id |
|---|
| 1 |
| 2 |
| 3 |
| 4 |
| 5 |
| 6 |
| 7 |
| 8 |
| 9 |
| 10 |
| 11 |
| 12 |
| 13 |
| 14 |
| 15 |

**Donor Detour Cost**
| box_id | donor_id | donor_detour_cost |
|---|---|---|
| F1 | 1 | 28 |
| F1 | 2 | 831 |
| F1 | 3 | 103 |
| F1 | 4 | 753 |
| F1 | 5 | 800 |
| F1 | 6 | 65 |
| F1 | 7 | 472 |
| F1 | 8 | 351 |
| F1 | 9 | 766 |
| F1 | 10 | 558 |
| F1 | 11 | 417 |
| F1 | 12 | 805 |
| F1 | 13 | 676 |
| F1 | 14 | 985 |
| F1 | 15 | 298 |
| F2 | 1 | 128 |
| F2 | 2 | 428 |
| F2 | 3 | 788 |
| F2 | 4 | 173 |
| F2 | 5 | 866 |
| F2 | 6 | 416 |
| F2 | 7 | 667 |
| F2 | 8 | 548 |
| F2 | 9 | 334 |
| F2 | 10 | 366 |
| F2 | 11 | 278 |
| F2 | 12 | 901 |
| F2 | 13 | 501 |
| F2 | 14 | 842 |
| F2 | 15 | 270 |
| F3 | 1 | 160 |
| F3 | 2 | 649 |
| F3 | 3 | 681 |
| F3 | 4 | 460 |
| F3 | 5 | 630 |
| F3 | 6 | 112 |
| F3 | 7 | 212 |
| F3 | 8 | 128 |
| F3 | 9 | 339 |
| F3 | 10 | 447 |
| F3 | 11 | 480 |
| F3 | 12 | 938 |
| F3 | 13 | 160 |
| F3 | 14 | 864 |
| F3 | 15 | 222 |
| F4 | 1 | 871 |
| F4 | 2 | 130 |
| F4 | 3 | 40 |
| F4 | 4 | 959 |
| F4 | 5 | 869 |
| F4 | 6 | 628 |
| F4 | 7 | 689 |
| F4 | 8 | 156 |
| F4 | 9 | 273 |
| F4 | 10 | 236 |
| F4 | 11 | 24 |
| F4 | 12 | 420 |
| F4 | 13 | 363 |
| F4 | 14 | 460 |
| F4 | 15 | 877 |
| F5 | 1 | 545 |
| F5 | 2 | 918 |
| F5 | 3 | 368 |
| F5 | 4 | 807 |
| F5 | 5 | 546 |
| F5 | 6 | 890 |
| F5 | 7 | 848 |
| F5 | 8 | 711 |
| F5 | 9 | 118 |
| F5 | 10 | 779 |
| F5 | 11 | 767 |
| F5 | 12 | 895 |
| F5 | 13 | 252 |
| F5 | 14 | 138 |
| F5 | 15 | 692 |
| F6 | 1 | 943 |
| F6 | 2 | 205 |
| F6 | 3 | 826 |
| F6 | 4 | 395 |
| F6 | 5 | 445 |
| F6 | 6 | 184 |
| F6 | 7 | 147 |
| F6 | 8 | 886 |
| F6 | 9 | 275 |
| F6 | 10 | 792 |
| F6 | 11 | 909 |
| F6 | 12 | 948 |
| F6 | 13 | 947 |
| F6 | 14 | 794 |
| F6 | 15 | 219 |
| F7 | 1 | 237 |
| F7 | 2 | 36 |
| F7 | 3 | 673 |
| F7 | 4 | 709 |
| F7 | 5 | 958 |
| F7 | 6 | 599 |
| F7 | 7 | 442 |
| F7 | 8 | 233 |
| F7 | 9 | 994 |
| F7 | 10 | 138 |
| F7 | 11 | 906 |
| F7 | 12 | 472 |
| F7 | 13 | 843 |
| F7 | 14 | 62 |
| F7 | 15 | 747 |

Oh, and one more practical thing — when you send the plan back, a tiny JSON sketch like the one below is perfect for me. It just lists which boxes we actually install and then, for each donor, which installed box they should go to.

{
  ""solution"": {
    ""selected"": [<site_to_open>, <site_to_open>, ...],
    ""assignments"": [<chosen_dropbox>, <chosen_dropbox>, ...]
  }
}

""selected"" is the list of drop-off box locations you decide to install. ""assignments"" is a list with one entry per donor saying which installed box they should use. Super casual: think of ""selected"" as the checklist of boxes we put out, and ""assignments"" as the little directions we hand each donor. This is just the expected shape — not the final plan itself.

Please use the exact identifiers from the instance input when filling those lists — do not rename identifiers or invent new ones.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'opening_costs': [2000, 2000, 2000, 2000, 2000, 2000, 2000], 'connection_costs': [[28, 831, 103, 753, 800, 65, 472, 351, 766, 558, 417, 805, 676, 985, 298], [128, 428, 788, 173, 866, 416, 667, 548, 334, 366, 278, 901, 501, 842, 270], [160, 649, 681, 460, 630, 112, 212, 128, 339, 447, 480, 938, 160, 864, 222], [871, 130, 40, 959, 869, 628, 689, 156, 273, 236, 24, 420, 363, 460, 877], [545, 918, 368, 807, 546, 890, 848, 711, 118, 779, 767, 895, 252, 138, 692], [943, 205, 826, 395, 445, 184, 147, 886, 275, 792, 909, 948, 947, 794, 219], [237, 36, 673, 709, 958, 599, 442, 233, 994, 138, 906, 472, 843, 62, 747]], 'objective': 7667.0}","{'open_facilities': [2, 3], 'assignments': [2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2]}",7667.0,"{'problem_type': 'UFLP', 'num_facilities': 7, 'num_customers': 15, 'facilities': [{'id': 'F1', 'opening_cost': 2000}, {'id': 'F2', 'opening_cost': 2000}, {'id': 'F3', 'opening_cost': 2000}, {'id': 'F4', 'opening_cost': 2000}, {'id': 'F5', 'opening_cost': 2000}, {'id': 'F6', 'opening_cost': 2000}, {'id': 'F7', 'opening_cost': 2000}], 'customers': [{'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}], 'connection_costs': [{'facility': 'F1', 'customer': 1, 'cost': 28}, {'facility': 'F1', 'customer': 2, 'cost': 831}, {'facility': 'F1', 'customer': 3, 'cost': 103}, {'facility': 'F1', 'customer': 4, 'cost': 753}, {'facility': 'F1', 'customer': 5, 'cost': 800}, {'facility': 'F1', 'customer': 6, 'cost': 65}, {'facility': 'F1', 'customer': 7, 'cost': 472}, {'facility': 'F1', 'customer': 8, 'cost': 351}, {'facility': 'F1', 'customer': 9, 'cost': 766}, {'facility': 'F1', 'customer': 10, 'cost': 558}, {'facility': 'F1', 'customer': 11, 'cost': 417}, {'facility': 'F1', 'customer': 12, 'cost': 805}, {'facility': 'F1', 'customer': 13, 'cost': 676}, {'facility': 'F1', 'customer': 14, 'cost': 985}, {'facility': 'F1', 'customer': 15, 'cost': 298}, {'facility': 'F2', 'customer': 1, 'cost': 128}, {'facility': 'F2', 'customer': 2, 'cost': 428}, {'facility': 'F2', 'customer': 3, 'cost': 788}, {'facility': 'F2', 'customer': 4, 'cost': 173}, {'facility': 'F2', 'customer': 5, 'cost': 866}, {'facility': 'F2', 'customer': 6, 'cost': 416}, {'facility': 'F2', 'customer': 7, 'cost': 667}, {'facility': 'F2', 'customer': 8, 'cost': 548}, {'facility': 'F2', 'customer': 9, 'cost': 334}, {'facility': 'F2', 'customer': 10, 'cost': 366}, {'facility': 'F2', 'customer': 11, 'cost': 278}, {'facility': 'F2', 'customer': 12, 'cost': 901}, {'facility': 'F2', 'customer': 13, 'cost': 501}, {'facility': 'F2', 'customer': 14, 'cost': 842}, {'facility': 'F2', 'customer': 15, 'cost': 270}, {'facility': 'F3', 'customer': 1, 'cost': 160}, {'facility': 'F3', 'customer': 2, 'cost': 649}, {'facility': 'F3', 'customer': 3, 'cost': 681}, {'facility': 'F3', 'customer': 4, 'cost': 460}, {'facility': 'F3', 'customer': 5, 'cost': 630}, {'facility': 'F3', 'customer': 6, 'cost': 112}, {'facility': 'F3', 'customer': 7, 'cost': 212}, {'facility': 'F3', 'customer': 8, 'cost': 128}, {'facility': 'F3', 'customer': 9, 'cost': 339}, {'facility': 'F3', 'customer': 10, 'cost': 447}, {'facility': 'F3', 'customer': 11, 'cost': 480}, {'facility': 'F3', 'customer': 12, 'cost': 938}, {'facility': 'F3', 'customer': 13, 'cost': 160}, {'facility': 'F3', 'customer': 14, 'cost': 864}, {'facility': 'F3', 'customer': 15, 'cost': 222}, {'facility': 'F4', 'customer': 1, 'cost': 871}, {'facility': 'F4', 'customer': 2, 'cost': 130}, {'facility': 'F4', 'customer': 3, 'cost': 40}, {'facility': 'F4', 'customer': 4, 'cost': 959}, {'facility': 'F4', 'customer': 5, 'cost': 869}, {'facility': 'F4', 'customer': 6, 'cost': 628}, {'facility': 'F4', 'customer': 7, 'cost': 689}, {'facility': 'F4', 'customer': 8, 'cost': 156}, {'facility': 'F4', 'customer': 9, 'cost': 273}, {'facility': 'F4', 'customer': 10, 'cost': 236}, {'facility': 'F4', 'customer': 11, 'cost': 24}, {'facility': 'F4', 'customer': 12, 'cost': 420}, {'facility': 'F4', 'customer': 13, 'cost': 363}, {'facility': 'F4', 'customer': 14, 'cost': 460}, {'facility': 'F4', 'customer': 15, 'cost': 877}, {'facility': 'F5', 'customer': 1, 'cost': 545}, {'facility': 'F5', 'customer': 2, 'cost': 918}, {'facility': 'F5', 'customer': 3, 'cost': 368}, {'facility': 'F5', 'customer': 4, 'cost': 807}, {'facility': 'F5', 'customer': 5, 'cost': 546}, {'facility': 'F5', 'customer': 6, 'cost': 890}, {'facility': 'F5', 'customer': 7, 'cost': 848}, {'facility': 'F5', 'customer': 8, 'cost': 711}, {'facility': 'F5', 'customer': 9, 'cost': 118}, {'facility': 'F5', 'customer': 10, 'cost': 779}, {'facility': 'F5', 'customer': 11, 'cost': 767}, {'facility': 'F5', 'customer': 12, 'cost': 895}, {'facility': 'F5', 'customer': 13, 'cost': 252}, {'facility': 'F5', 'customer': 14, 'cost': 138}, {'facility': 'F5', 'customer': 15, 'cost': 692}, {'facility': 'F6', 'customer': 1, 'cost': 943}, {'facility': 'F6', 'customer': 2, 'cost': 205}, {'facility': 'F6', 'customer': 3, 'cost': 826}, {'facility': 'F6', 'customer': 4, 'cost': 395}, {'facility': 'F6', 'customer': 5, 'cost': 445}, {'facility': 'F6', 'customer': 6, 'cost': 184}, {'facility': 'F6', 'customer': 7, 'cost': 147}, {'facility': 'F6', 'customer': 8, 'cost': 886}, {'facility': 'F6', 'customer': 9, 'cost': 275}, {'facility': 'F6', 'customer': 10, 'cost': 792}, {'facility': 'F6', 'customer': 11, 'cost': 909}, {'facility': 'F6', 'customer': 12, 'cost': 948}, {'facility': 'F6', 'customer': 13, 'cost': 947}, {'facility': 'F6', 'customer': 14, 'cost': 794}, {'facility': 'F6', 'customer': 15, 'cost': 219}, {'facility': 'F7', 'customer': 1, 'cost': 237}, {'facility': 'F7', 'customer': 2, 'cost': 36}, {'facility': 'F7', 'customer': 3, 'cost': 673}, {'facility': 'F7', 'customer': 4, 'cost': 709}, {'facility': 'F7', 'customer': 5, 'cost': 958}, {'facility': 'F7', 'customer': 6, 'cost': 599}, {'facility': 'F7', 'customer': 7, 'cost': 442}, {'facility': 'F7', 'customer': 8, 'cost': 233}, {'facility': 'F7', 'customer': 9, 'cost': 994}, {'facility': 'F7', 'customer': 10, 'cost': 138}, {'facility': 'F7', 'customer': 11, 'cost': 906}, {'facility': 'F7', 'customer': 12, 'cost': 472}, {'facility': 'F7', 'customer': 13, 'cost': 843}, {'facility': 'F7', 'customer': 14, 'cost': 62}, {'facility': 'F7', 'customer': 15, 'cost': 747}], 'objective': 7667.0}","{'selected': ['F3', 'F4'], 'assignments': ['F3', 'F4', 'F4', 'F3', 'F3', 'F3', 'F3', 'F3', 'F4', 'F4', 'F4', 'F4', 'F3', 'F4', 'F3']}",18,markdown_table,1
UFLP,UFLP,"Recently the social services office was tasked with picking which evening soup kitchens to fund and assigning every nearby person in need to one of the funded kitchens. The rule is clear: only funded kitchens can receive people, everyone must be sent to one and only one kitchen, and any funded kitchen can serve as many people as needed. What they want is the cheapest overall arrangement — total up the funding commitments plus each person’s travel cost to their assigned kitchen, and keep that total as low as possible. Detailed numbers and locations are shown below.

There are 9 kitchens and 19 persons in this instance.

**Kitchens**
| kitchen_id | kitchen_funding_cost |
|---|---|
| F1 | 1000 |
| F2 | 1000 |
| F3 | 1000 |
| F4 | 1000 |
| F5 | 1000 |
| F6 | 1000 |
| F7 | 1000 |
| F8 | 1000 |
| F9 | 1000 |

**Persons**
| person_id |
|---|
| 0 |
| 1 |
| 2 |
| 3 |
| 4 |
| 5 |
| 6 |
| 7 |
| 8 |
| 9 |
| 10 |
| 11 |
| 12 |
| 13 |
| 14 |
| 15 |
| 16 |
| 17 |
| 18 |

**Travel Cost**
| kitchen_id | person_id | travel_cost |
|---|---|---|
| F1 | 0 | 984 |
| F1 | 1 | 689 |
| F1 | 2 | 763 |
| F1 | 3 | 158 |
| F1 | 4 | 409 |
| F1 | 5 | 213 |
| F1 | 6 | 264 |
| F1 | 7 | 401 |
| F1 | 8 | 370 |
| F1 | 9 | 59 |
| F1 | 10 | 438 |
| F1 | 11 | 616 |
| F1 | 12 | 53 |
| F1 | 13 | 209 |
| F1 | 14 | 781 |
| F1 | 15 | 506 |
| F1 | 16 | 326 |
| F1 | 17 | 693 |
| F1 | 18 | 662 |
| F2 | 0 | 713 |
| F2 | 1 | 813 |
| F2 | 2 | 407 |
| F2 | 3 | 556 |
| F2 | 4 | 521 |
| F2 | 5 | 315 |
| F2 | 6 | 832 |
| F2 | 7 | 588 |
| F2 | 8 | 392 |
| F2 | 9 | 809 |
| F2 | 10 | 143 |
| F2 | 11 | 208 |
| F2 | 12 | 308 |
| F2 | 13 | 803 |
| F2 | 14 | 193 |
| F2 | 15 | 355 |
| F2 | 16 | 200 |
| F2 | 17 | 38 |
| F2 | 18 | 508 |
| F3 | 0 | 446 |
| F3 | 1 | 6 |
| F3 | 2 | 996 |
| F3 | 3 | 472 |
| F3 | 4 | 688 |
| F3 | 5 | 356 |
| F3 | 6 | 302 |
| F3 | 7 | 250 |
| F3 | 8 | 164 |
| F3 | 9 | 981 |
| F3 | 10 | 488 |
| F3 | 11 | 531 |
| F3 | 12 | 869 |
| F3 | 13 | 712 |
| F3 | 14 | 386 |
| F3 | 15 | 261 |
| F3 | 16 | 819 |
| F3 | 17 | 863 |
| F3 | 18 | 113 |
| F4 | 0 | 292 |
| F4 | 1 | 410 |
| F4 | 2 | 788 |
| F4 | 3 | 724 |
| F4 | 4 | 399 |
| F4 | 5 | 213 |
| F4 | 6 | 734 |
| F4 | 7 | 637 |
| F4 | 8 | 219 |
| F4 | 9 | 523 |
| F4 | 10 | 52 |
| F4 | 11 | 285 |
| F4 | 12 | 225 |
| F4 | 13 | 270 |
| F4 | 14 | 0 |
| F4 | 15 | 799 |
| F4 | 16 | 0 |
| F4 | 17 | 79 |
| F4 | 18 | 162 |
| F5 | 0 | 467 |
| F5 | 1 | 484 |
| F5 | 2 | 94 |
| F5 | 3 | 355 |
| F5 | 4 | 684 |
| F5 | 5 | 924 |
| F5 | 6 | 431 |
| F5 | 7 | 109 |
| F5 | 8 | 994 |
| F5 | 9 | 601 |
| F5 | 10 | 712 |
| F5 | 11 | 805 |
| F5 | 12 | 994 |
| F5 | 13 | 213 |
| F5 | 14 | 734 |
| F5 | 15 | 779 |
| F5 | 16 | 574 |
| F5 | 17 | 458 |
| F5 | 18 | 734 |
| F6 | 0 | 443 |
| F6 | 1 | 588 |
| F6 | 2 | 94 |
| F6 | 3 | 937 |
| F6 | 4 | 565 |
| F6 | 5 | 264 |
| F6 | 6 | 623 |
| F6 | 7 | 632 |
| F6 | 8 | 617 |
| F6 | 9 | 287 |
| F6 | 10 | 623 |
| F6 | 11 | 94 |
| F6 | 12 | 923 |
| F6 | 13 | 162 |
| F6 | 14 | 454 |
| F6 | 15 | 101 |
| F6 | 16 | 496 |
| F6 | 17 | 163 |
| F6 | 18 | 940 |
| F7 | 0 | 804 |
| F7 | 1 | 630 |
| F7 | 2 | 835 |
| F7 | 3 | 541 |
| F7 | 4 | 110 |
| F7 | 5 | 410 |
| F7 | 6 | 17 |
| F7 | 7 | 443 |
| F7 | 8 | 701 |
| F7 | 9 | 462 |
| F7 | 10 | 883 |
| F7 | 11 | 819 |
| F7 | 12 | 163 |
| F7 | 13 | 516 |
| F7 | 14 | 973 |
| F7 | 15 | 381 |
| F7 | 16 | 945 |
| F7 | 17 | 564 |
| F7 | 18 | 534 |
| F8 | 0 | 70 |
| F8 | 1 | 307 |
| F8 | 2 | 838 |
| F8 | 3 | 200 |
| F8 | 4 | 743 |
| F8 | 5 | 62 |
| F8 | 6 | 166 |
| F8 | 7 | 40 |
| F8 | 8 | 830 |
| F8 | 9 | 654 |
| F8 | 10 | 650 |
| F8 | 11 | 954 |
| F8 | 12 | 538 |
| F8 | 13 | 750 |
| F8 | 14 | 424 |
| F8 | 15 | 182 |
| F8 | 16 | 656 |
| F8 | 17 | 596 |
| F8 | 18 | 87 |
| F9 | 0 | 883 |
| F9 | 1 | 687 |
| F9 | 2 | 528 |
| F9 | 3 | 512 |
| F9 | 4 | 614 |
| F9 | 5 | 460 |
| F9 | 6 | 745 |
| F9 | 7 | 553 |
| F9 | 8 | 582 |
| F9 | 9 | 640 |
| F9 | 10 | 683 |
| F9 | 11 | 531 |
| F9 | 12 | 999 |
| F9 | 13 | 740 |
| F9 | 14 | 294 |
| F9 | 15 | 905 |
| F9 | 16 | 78 |
| F9 | 17 | 328 |
| F9 | 18 | 201 |

One quick thing before you go: it'd be great if you could return the final choice in a tiny JSON form so it's easy to read. Here's the relaxed shape I'm expecting — just a small sketch showing which kitchens we fund and which funded kitchen each person is sent to.

{
  ""solution"": {
    ""selected"": [<kitchen_to_fund>, <kitchen_to_fund>, ...],
    ""assignments"": [<assigned_kitchen>, <assigned_kitchen>, ...]
  }
}

Think of it like a simple form: ""selected"" is the list of soup kitchens we decide to fund, and ""assignments"" lists, in the same order as the people in the instance, the funded kitchen each person is assigned to. This is only the expected shape — not the actual answer itself.

Please make sure all identifiers are used exactly as they appear in the instance input — do not rename them or invent new labels. 
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'opening_costs': [1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000], 'connection_costs': [[984, 689, 763, 158, 409, 213, 264, 401, 370, 59, 438, 616, 53, 209, 781, 506, 326, 693, 662], [713, 813, 407, 556, 521, 315, 832, 588, 392, 809, 143, 208, 308, 803, 193, 355, 200, 38, 508], [446, 6, 996, 472, 688, 356, 302, 250, 164, 981, 488, 531, 869, 712, 386, 261, 819, 863, 113], [292, 410, 788, 724, 399, 213, 734, 637, 219, 523, 52, 285, 225, 270, 0, 799, 0, 79, 162], [467, 484, 94, 355, 684, 924, 431, 109, 994, 601, 712, 805, 994, 213, 734, 779, 574, 458, 734], [443, 588, 94, 937, 565, 264, 623, 632, 617, 287, 623, 94, 923, 162, 454, 101, 496, 163, 940], [804, 630, 835, 541, 110, 410, 17, 443, 701, 462, 883, 819, 163, 516, 973, 381, 945, 564, 534], [70, 307, 838, 200, 743, 62, 166, 40, 830, 654, 650, 954, 538, 750, 424, 182, 656, 596, 87], [883, 687, 528, 512, 614, 460, 745, 553, 582, 640, 683, 531, 999, 740, 294, 905, 78, 328, 201]], 'objective': 5644.0}","{'open_facilities': [3, 5, 7], 'assignments': [7, 7, 5, 7, 3, 7, 7, 7, 3, 5, 3, 5, 3, 5, 3, 5, 3, 3, 7]}",5644.0,"{'problem_type': 'UFLP', 'num_facilities': 9, 'num_customers': 19, 'facilities': [{'id': 'F1', 'opening_cost': 1000}, {'id': 'F2', 'opening_cost': 1000}, {'id': 'F3', 'opening_cost': 1000}, {'id': 'F4', 'opening_cost': 1000}, {'id': 'F5', 'opening_cost': 1000}, {'id': 'F6', 'opening_cost': 1000}, {'id': 'F7', 'opening_cost': 1000}, {'id': 'F8', 'opening_cost': 1000}, {'id': 'F9', 'opening_cost': 1000}], 'customers': [{'id': 0}, {'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}, {'id': 16}, {'id': 17}, {'id': 18}], 'connection_costs': [{'facility': 'F1', 'customer': 0, 'cost': 984}, {'facility': 'F1', 'customer': 1, 'cost': 689}, {'facility': 'F1', 'customer': 2, 'cost': 763}, {'facility': 'F1', 'customer': 3, 'cost': 158}, {'facility': 'F1', 'customer': 4, 'cost': 409}, {'facility': 'F1', 'customer': 5, 'cost': 213}, {'facility': 'F1', 'customer': 6, 'cost': 264}, {'facility': 'F1', 'customer': 7, 'cost': 401}, {'facility': 'F1', 'customer': 8, 'cost': 370}, {'facility': 'F1', 'customer': 9, 'cost': 59}, {'facility': 'F1', 'customer': 10, 'cost': 438}, {'facility': 'F1', 'customer': 11, 'cost': 616}, {'facility': 'F1', 'customer': 12, 'cost': 53}, {'facility': 'F1', 'customer': 13, 'cost': 209}, {'facility': 'F1', 'customer': 14, 'cost': 781}, {'facility': 'F1', 'customer': 15, 'cost': 506}, {'facility': 'F1', 'customer': 16, 'cost': 326}, {'facility': 'F1', 'customer': 17, 'cost': 693}, {'facility': 'F1', 'customer': 18, 'cost': 662}, {'facility': 'F2', 'customer': 0, 'cost': 713}, {'facility': 'F2', 'customer': 1, 'cost': 813}, {'facility': 'F2', 'customer': 2, 'cost': 407}, {'facility': 'F2', 'customer': 3, 'cost': 556}, {'facility': 'F2', 'customer': 4, 'cost': 521}, {'facility': 'F2', 'customer': 5, 'cost': 315}, {'facility': 'F2', 'customer': 6, 'cost': 832}, {'facility': 'F2', 'customer': 7, 'cost': 588}, {'facility': 'F2', 'customer': 8, 'cost': 392}, {'facility': 'F2', 'customer': 9, 'cost': 809}, {'facility': 'F2', 'customer': 10, 'cost': 143}, {'facility': 'F2', 'customer': 11, 'cost': 208}, {'facility': 'F2', 'customer': 12, 'cost': 308}, {'facility': 'F2', 'customer': 13, 'cost': 803}, {'facility': 'F2', 'customer': 14, 'cost': 193}, {'facility': 'F2', 'customer': 15, 'cost': 355}, {'facility': 'F2', 'customer': 16, 'cost': 200}, {'facility': 'F2', 'customer': 17, 'cost': 38}, {'facility': 'F2', 'customer': 18, 'cost': 508}, {'facility': 'F3', 'customer': 0, 'cost': 446}, {'facility': 'F3', 'customer': 1, 'cost': 6}, {'facility': 'F3', 'customer': 2, 'cost': 996}, {'facility': 'F3', 'customer': 3, 'cost': 472}, {'facility': 'F3', 'customer': 4, 'cost': 688}, {'facility': 'F3', 'customer': 5, 'cost': 356}, {'facility': 'F3', 'customer': 6, 'cost': 302}, {'facility': 'F3', 'customer': 7, 'cost': 250}, {'facility': 'F3', 'customer': 8, 'cost': 164}, {'facility': 'F3', 'customer': 9, 'cost': 981}, {'facility': 'F3', 'customer': 10, 'cost': 488}, {'facility': 'F3', 'customer': 11, 'cost': 531}, {'facility': 'F3', 'customer': 12, 'cost': 869}, {'facility': 'F3', 'customer': 13, 'cost': 712}, {'facility': 'F3', 'customer': 14, 'cost': 386}, {'facility': 'F3', 'customer': 15, 'cost': 261}, {'facility': 'F3', 'customer': 16, 'cost': 819}, {'facility': 'F3', 'customer': 17, 'cost': 863}, {'facility': 'F3', 'customer': 18, 'cost': 113}, {'facility': 'F4', 'customer': 0, 'cost': 292}, {'facility': 'F4', 'customer': 1, 'cost': 410}, {'facility': 'F4', 'customer': 2, 'cost': 788}, {'facility': 'F4', 'customer': 3, 'cost': 724}, {'facility': 'F4', 'customer': 4, 'cost': 399}, {'facility': 'F4', 'customer': 5, 'cost': 213}, {'facility': 'F4', 'customer': 6, 'cost': 734}, {'facility': 'F4', 'customer': 7, 'cost': 637}, {'facility': 'F4', 'customer': 8, 'cost': 219}, {'facility': 'F4', 'customer': 9, 'cost': 523}, {'facility': 'F4', 'customer': 10, 'cost': 52}, {'facility': 'F4', 'customer': 11, 'cost': 285}, {'facility': 'F4', 'customer': 12, 'cost': 225}, {'facility': 'F4', 'customer': 13, 'cost': 270}, {'facility': 'F4', 'customer': 14, 'cost': 0}, {'facility': 'F4', 'customer': 15, 'cost': 799}, {'facility': 'F4', 'customer': 16, 'cost': 0}, {'facility': 'F4', 'customer': 17, 'cost': 79}, {'facility': 'F4', 'customer': 18, 'cost': 162}, {'facility': 'F5', 'customer': 0, 'cost': 467}, {'facility': 'F5', 'customer': 1, 'cost': 484}, {'facility': 'F5', 'customer': 2, 'cost': 94}, {'facility': 'F5', 'customer': 3, 'cost': 355}, {'facility': 'F5', 'customer': 4, 'cost': 684}, {'facility': 'F5', 'customer': 5, 'cost': 924}, {'facility': 'F5', 'customer': 6, 'cost': 431}, {'facility': 'F5', 'customer': 7, 'cost': 109}, {'facility': 'F5', 'customer': 8, 'cost': 994}, {'facility': 'F5', 'customer': 9, 'cost': 601}, {'facility': 'F5', 'customer': 10, 'cost': 712}, {'facility': 'F5', 'customer': 11, 'cost': 805}, {'facility': 'F5', 'customer': 12, 'cost': 994}, {'facility': 'F5', 'customer': 13, 'cost': 213}, {'facility': 'F5', 'customer': 14, 'cost': 734}, {'facility': 'F5', 'customer': 15, 'cost': 779}, {'facility': 'F5', 'customer': 16, 'cost': 574}, {'facility': 'F5', 'customer': 17, 'cost': 458}, {'facility': 'F5', 'customer': 18, 'cost': 734}, {'facility': 'F6', 'customer': 0, 'cost': 443}, {'facility': 'F6', 'customer': 1, 'cost': 588}, {'facility': 'F6', 'customer': 2, 'cost': 94}, {'facility': 'F6', 'customer': 3, 'cost': 937}, {'facility': 'F6', 'customer': 4, 'cost': 565}, {'facility': 'F6', 'customer': 5, 'cost': 264}, {'facility': 'F6', 'customer': 6, 'cost': 623}, {'facility': 'F6', 'customer': 7, 'cost': 632}, {'facility': 'F6', 'customer': 8, 'cost': 617}, {'facility': 'F6', 'customer': 9, 'cost': 287}, {'facility': 'F6', 'customer': 10, 'cost': 623}, {'facility': 'F6', 'customer': 11, 'cost': 94}, {'facility': 'F6', 'customer': 12, 'cost': 923}, {'facility': 'F6', 'customer': 13, 'cost': 162}, {'facility': 'F6', 'customer': 14, 'cost': 454}, {'facility': 'F6', 'customer': 15, 'cost': 101}, {'facility': 'F6', 'customer': 16, 'cost': 496}, {'facility': 'F6', 'customer': 17, 'cost': 163}, {'facility': 'F6', 'customer': 18, 'cost': 940}, {'facility': 'F7', 'customer': 0, 'cost': 804}, {'facility': 'F7', 'customer': 1, 'cost': 630}, {'facility': 'F7', 'customer': 2, 'cost': 835}, {'facility': 'F7', 'customer': 3, 'cost': 541}, {'facility': 'F7', 'customer': 4, 'cost': 110}, {'facility': 'F7', 'customer': 5, 'cost': 410}, {'facility': 'F7', 'customer': 6, 'cost': 17}, {'facility': 'F7', 'customer': 7, 'cost': 443}, {'facility': 'F7', 'customer': 8, 'cost': 701}, {'facility': 'F7', 'customer': 9, 'cost': 462}, {'facility': 'F7', 'customer': 10, 'cost': 883}, {'facility': 'F7', 'customer': 11, 'cost': 819}, {'facility': 'F7', 'customer': 12, 'cost': 163}, {'facility': 'F7', 'customer': 13, 'cost': 516}, {'facility': 'F7', 'customer': 14, 'cost': 973}, {'facility': 'F7', 'customer': 15, 'cost': 381}, {'facility': 'F7', 'customer': 16, 'cost': 945}, {'facility': 'F7', 'customer': 17, 'cost': 564}, {'facility': 'F7', 'customer': 18, 'cost': 534}, {'facility': 'F8', 'customer': 0, 'cost': 70}, {'facility': 'F8', 'customer': 1, 'cost': 307}, {'facility': 'F8', 'customer': 2, 'cost': 838}, {'facility': 'F8', 'customer': 3, 'cost': 200}, {'facility': 'F8', 'customer': 4, 'cost': 743}, {'facility': 'F8', 'customer': 5, 'cost': 62}, {'facility': 'F8', 'customer': 6, 'cost': 166}, {'facility': 'F8', 'customer': 7, 'cost': 40}, {'facility': 'F8', 'customer': 8, 'cost': 830}, {'facility': 'F8', 'customer': 9, 'cost': 654}, {'facility': 'F8', 'customer': 10, 'cost': 650}, {'facility': 'F8', 'customer': 11, 'cost': 954}, {'facility': 'F8', 'customer': 12, 'cost': 538}, {'facility': 'F8', 'customer': 13, 'cost': 750}, {'facility': 'F8', 'customer': 14, 'cost': 424}, {'facility': 'F8', 'customer': 15, 'cost': 182}, {'facility': 'F8', 'customer': 16, 'cost': 656}, {'facility': 'F8', 'customer': 17, 'cost': 596}, {'facility': 'F8', 'customer': 18, 'cost': 87}, {'facility': 'F9', 'customer': 0, 'cost': 883}, {'facility': 'F9', 'customer': 1, 'cost': 687}, {'facility': 'F9', 'customer': 2, 'cost': 528}, {'facility': 'F9', 'customer': 3, 'cost': 512}, {'facility': 'F9', 'customer': 4, 'cost': 614}, {'facility': 'F9', 'customer': 5, 'cost': 460}, {'facility': 'F9', 'customer': 6, 'cost': 745}, {'facility': 'F9', 'customer': 7, 'cost': 553}, {'facility': 'F9', 'customer': 8, 'cost': 582}, {'facility': 'F9', 'customer': 9, 'cost': 640}, {'facility': 'F9', 'customer': 10, 'cost': 683}, {'facility': 'F9', 'customer': 11, 'cost': 531}, {'facility': 'F9', 'customer': 12, 'cost': 999}, {'facility': 'F9', 'customer': 13, 'cost': 740}, {'facility': 'F9', 'customer': 14, 'cost': 294}, {'facility': 'F9', 'customer': 15, 'cost': 905}, {'facility': 'F9', 'customer': 16, 'cost': 78}, {'facility': 'F9', 'customer': 17, 'cost': 328}, {'facility': 'F9', 'customer': 18, 'cost': 201}], 'objective': 5644.0}","{'selected': ['F4', 'F6', 'F8'], 'assignments': ['F8', 'F8', 'F6', 'F8', 'F4', 'F8', 'F8', 'F8', 'F4', 'F6', 'F4', 'F6', 'F4', 'F6', 'F4', 'F6', 'F4', 'F4', 'F8']}",19,markdown_table,0
UFLP,UFLP,"Someone in charge of the building’s network has to pick which of the small servers around the floor to power, then bind each device to a single powered server. Each server has a startup cost and each device-server pair has a delay cost; the winning setup is simply the one with the lowest combined total of server power costs plus all the devices’ latency penalties. Every device must be attached to exactly one turned-on server, and the real numbers and map follow below.

{
  ""num_servers"": 7,
  ""num_devices"": 16,
  ""servers"": [
    {
      ""server_id"": ""F1"",
      ""server_startup_cost"": 1530
    },
    {
      ""server_id"": ""F2"",
      ""server_startup_cost"": 1504
    },
    {
      ""server_id"": ""F3"",
      ""server_startup_cost"": 1115
    },
    {
      ""server_id"": ""F4"",
      ""server_startup_cost"": 1108
    },
    {
      ""server_id"": ""F5"",
      ""server_startup_cost"": 1433
    },
    {
      ""server_id"": ""F6"",
      ""server_startup_cost"": 1578
    },
    {
      ""server_id"": ""F7"",
      ""server_startup_cost"": 1072
    }
  ],
  ""devices"": [
    {
      ""device_id"": 1
    },
    {
      ""device_id"": 2
    },
    {
      ""device_id"": 3
    },
    {
      ""device_id"": 4
    },
    {
      ""device_id"": 5
    },
    {
      ""device_id"": 6
    },
    {
      ""device_id"": 7
    },
    {
      ""device_id"": 8
    },
    {
      ""device_id"": 9
    },
    {
      ""device_id"": 10
    },
    {
      ""device_id"": 11
    },
    {
      ""device_id"": 12
    },
    {
      ""device_id"": 13
    },
    {
      ""device_id"": 14
    },
    {
      ""device_id"": 15
    },
    {
      ""device_id"": 16
    }
  ],
  ""latencys"": [
    {
      ""server_id"": ""F1"",
      ""device_id"": 1,
      ""latency_cost"": 899
    },
    {
      ""server_id"": ""F1"",
      ""device_id"": 2,
      ""latency_cost"": 303
    },
    {
      ""server_id"": ""F1"",
      ""device_id"": 3,
      ""latency_cost"": 96
    },
    {
      ""server_id"": ""F1"",
      ""device_id"": 4,
      ""latency_cost"": 500
    },
    {
      ""server_id"": ""F1"",
      ""device_id"": 5,
      ""latency_cost"": 602
    },
    {
      ""server_id"": ""F1"",
      ""device_id"": 6,
      ""latency_cost"": 530
    },
    {
      ""server_id"": ""F1"",
      ""device_id"": 7,
      ""latency_cost"": 250
    },
    {
      ""server_id"": ""F1"",
      ""device_id"": 8,
      ""latency_cost"": 759
    },
    {
      ""server_id"": ""F1"",
      ""device_id"": 9,
      ""latency_cost"": 944
    },
    {
      ""server_id"": ""F1"",
      ""device_id"": 10,
      ""latency_cost"": 490
    },
    {
      ""server_id"": ""F1"",
      ""device_id"": 11,
      ""latency_cost"": 216
    },
    {
      ""server_id"": ""F1"",
      ""device_id"": 12,
      ""latency_cost"": 716
    },
    {
      ""server_id"": ""F1"",
      ""device_id"": 13,
      ""latency_cost"": 679
    },
    {
      ""server_id"": ""F1"",
      ""device_id"": 14,
      ""latency_cost"": 218
    },
    {
      ""server_id"": ""F1"",
      ""device_id"": 15,
      ""latency_cost"": 355
    },
    {
      ""server_id"": ""F1"",
      ""device_id"": 16,
      ""latency_cost"": 774
    },
    {
      ""server_id"": ""F2"",
      ""device_id"": 1,
      ""latency_cost"": 736
    },
    {
      ""server_id"": ""F2"",
      ""device_id"": 2,
      ""latency_cost"": 976
    },
    {
      ""server_id"": ""F2"",
      ""device_id"": 3,
      ""latency_cost"": 289
    },
    {
      ""server_id"": ""F2"",
      ""device_id"": 4,
      ""latency_cost"": 249
    },
    {
      ""server_id"": ""F2"",
      ""device_id"": 5,
      ""latency_cost"": 831
    },
    {
      ""server_id"": ""F2"",
      ""device_id"": 6,
      ""latency_cost"": 205
    },
    {
      ""server_id"": ""F2"",
      ""device_id"": 7,
      ""latency_cost"": 996
    },
    {
      ""server_id"": ""F2"",
      ""device_id"": 8,
      ""latency_cost"": 202
    },
    {
      ""server_id"": ""F2"",
      ""device_id"": 9,
      ""latency_cost"": 58
    },
    {
      ""server_id"": ""F2"",
      ""device_id"": 10,
      ""latency_cost"": 939
    },
    {
      ""server_id"": ""F2"",
      ""device_id"": 11,
      ""latency_cost"": 147
    },
    {
      ""server_id"": ""F2"",
      ""device_id"": 12,
      ""latency_cost"": 452
    },
    {
      ""server_id"": ""F2"",
      ""device_id"": 13,
      ""latency_cost"": 610
    },
    {
      ""server_id"": ""F2"",
      ""device_id"": 14,
      ""latency_cost"": 766
    },
    {
      ""server_id"": ""F2"",
      ""device_id"": 15,
      ""latency_cost"": 997
    },
    {
      ""server_id"": ""F2"",
      ""device_id"": 16,
      ""latency_cost"": 284
    },
    {
      ""server_id"": ""F3"",
      ""device_id"": 1,
      ""latency_cost"": 19
    },
    {
      ""server_id"": ""F3"",
      ""device_id"": 2,
      ""latency_cost"": 78
    },
    {
      ""server_id"": ""F3"",
      ""device_id"": 3,
      ""latency_cost"": 849
    },
    {
      ""server_id"": ""F3"",
      ""device_id"": 4,
      ""latency_cost"": 993
    },
    {
      ""server_id"": ""F3"",
      ""device_id"": 5,
      ""latency_cost"": 625
    },
    {
      ""server_id"": ""F3"",
      ""device_id"": 6,
      ""latency_cost"": 833
    },
    {
      ""server_id"": ""F3"",
      ""device_id"": 7,
      ""latency_cost"": 709
    },
    {
      ""server_id"": ""F3"",
      ""device_id"": 8,
      ""latency_cost"": 923
    },
    {
      ""server_id"": ""F3"",
      ""device_id"": 9,
      ""latency_cost"": 469
    },
    {
      ""server_id"": ""F3"",
      ""device_id"": 10,
      ""latency_cost"": 943
    },
    {
      ""server_id"": ""F3"",
      ""device_id"": 11,
      ""latency_cost"": 197
    },
    {
      ""server_id"": ""F3"",
      ""device_id"": 12,
      ""latency_cost"": 859
    },
    {
      ""server_id"": ""F3"",
      ""device_id"": 13,
      ""latency_cost"": 867
    },
    {
      ""server_id"": ""F3"",
      ""device_id"": 14,
      ""latency_cost"": 954
    },
    {
      ""server_id"": ""F3"",
      ""device_id"": 15,
      ""latency_cost"": 823
    },
    {
      ""server_id"": ""F3"",
      ""device_id"": 16,
      ""latency_cost"": 798
    },
    {
      ""server_id"": ""F4"",
      ""device_id"": 1,
      ""latency_cost"": 865
    },
    {
      ""server_id"": ""F4"",
      ""device_id"": 2,
      ""latency_cost"": 443
    },
    {
      ""server_id"": ""F4"",
      ""device_id"": 3,
      ""latency_cost"": 639
    },
    {
      ""server_id"": ""F4"",
      ""device_id"": 4,
      ""latency_cost"": 596
    },
    {
      ""server_id"": ""F4"",
      ""device_id"": 5,
      ""latency_cost"": 821
    },
    {
      ""server_id"": ""F4"",
      ""device_id"": 6,
      ""latency_cost"": 954
    },
    {
      ""server_id"": ""F4"",
      ""device_id"": 7,
      ""latency_cost"": 312
    },
    {
      ""server_id"": ""F4"",
      ""device_id"": 8,
      ""latency_cost"": 884
    },
    {
      ""server_id"": ""F4"",
      ""device_id"": 9,
      ""latency_cost"": 865
    },
    {
      ""server_id"": ""F4"",
      ""device_id"": 10,
      ""latency_cost"": 865
    },
    {
      ""server_id"": ""F4"",
      ""device_id"": 11,
      ""latency_cost"": 488
    },
    {
      ""server_id"": ""F4"",
      ""device_id"": 12,
      ""latency_cost"": 929
    },
    {
      ""server_id"": ""F4"",
      ""device_id"": 13,
      ""latency_cost"": 684
    },
    {
      ""server_id"": ""F4"",
      ""device_id"": 14,
      ""latency_cost"": 522
    },
    {
      ""server_id"": ""F4"",
      ""device_id"": 15,
      ""latency_cost"": 506
    },
    {
      ""server_id"": ""F4"",
      ""device_id"": 16,
      ""latency_cost"": 149
    },
    {
      ""server_id"": ""F5"",
      ""device_id"": 1,
      ""latency_cost"": 827
    },
    {
      ""server_id"": ""F5"",
      ""device_id"": 2,
      ""latency_cost"": 933
    },
    {
      ""server_id"": ""F5"",
      ""device_id"": 3,
      ""latency_cost"": 799
    },
    {
      ""server_id"": ""F5"",
      ""device_id"": 4,
      ""latency_cost"": 929
    },
    {
      ""server_id"": ""F5"",
      ""device_id"": 5,
      ""latency_cost"": 851
    },
    {
      ""server_id"": ""F5"",
      ""device_id"": 6,
      ""latency_cost"": 770
    },
    {
      ""server_id"": ""F5"",
      ""device_id"": 7,
      ""latency_cost"": 156
    },
    {
      ""server_id"": ""F5"",
      ""device_id"": 8,
      ""latency_cost"": 884
    },
    {
      ""server_id"": ""F5"",
      ""device_id"": 9,
      ""latency_cost"": 354
    },
    {
      ""server_id"": ""F5"",
      ""device_id"": 10,
      ""latency_cost"": 157
    },
    {
      ""server_id"": ""F5"",
      ""device_id"": 11,
      ""latency_cost"": 444
    },
    {
      ""server_id"": ""F5"",
      ""device_id"": 12,
      ""latency_cost"": 5
    },
    {
      ""server_id"": ""F5"",
      ""device_id"": 13,
      ""latency_cost"": 620
    },
    {
      ""server_id"": ""F5"",
      ""device_id"": 14,
      ""latency_cost"": 542
    },
    {
      ""server_id"": ""F5"",
      ""device_id"": 15,
      ""latency_cost"": 632
    },
    {
      ""server_id"": ""F5"",
      ""device_id"": 16,
      ""latency_cost"": 250
    },
    {
      ""server_id"": ""F6"",
      ""device_id"": 1,
      ""latency_cost"": 789
    },
    {
      ""server_id"": ""F6"",
      ""device_id"": 2,
      ""latency_cost"": 520
    },
    {
      ""server_id"": ""F6"",
      ""device_id"": 3,
      ""latency_cost"": 605
    },
    {
      ""server_id"": ""F6"",
      ""device_id"": 4,
      ""latency_cost"": 929
    },
    {
      ""server_id"": ""F6"",
      ""device_id"": 5,
      ""latency_cost"": 44
    },
    {
      ""server_id"": ""F6"",
      ""device_id"": 6,
      ""latency_cost"": 766
    },
    {
      ""server_id"": ""F6"",
      ""device_id"": 7,
      ""latency_cost"": 710
    },
    {
      ""server_id"": ""F6"",
      ""device_id"": 8,
      ""latency_cost"": 466
    },
    {
      ""server_id"": ""F6"",
      ""device_id"": 9,
      ""latency_cost"": 286
    },
    {
      ""server_id"": ""F6"",
      ""device_id"": 10,
      ""latency_cost"": 100
    },
    {
      ""server_id"": ""F6"",
      ""device_id"": 11,
      ""latency_cost"": 350
    },
    {
      ""server_id"": ""F6"",
      ""device_id"": 12,
      ""latency_cost"": 904
    },
    {
      ""server_id"": ""F6"",
      ""device_id"": 13,
      ""latency_cost"": 32
    },
    {
      ""server_id"": ""F6"",
      ""device_id"": 14,
      ""latency_cost"": 23
    },
    {
      ""server_id"": ""F6"",
      ""device_id"": 15,
      ""latency_cost"": 179
    },
    {
      ""server_id"": ""F6"",
      ""device_id"": 16,
      ""latency_cost"": 150
    },
    {
      ""server_id"": ""F7"",
      ""device_id"": 1,
      ""latency_cost"": 567
    },
    {
      ""server_id"": ""F7"",
      ""device_id"": 2,
      ""latency_cost"": 795
    },
    {
      ""server_id"": ""F7"",
      ""device_id"": 3,
      ""latency_cost"": 586
    },
    {
      ""server_id"": ""F7"",
      ""device_id"": 4,
      ""latency_cost"": 465
    },
    {
      ""server_id"": ""F7"",
      ""device_id"": 5,
      ""latency_cost"": 213
    },
    {
      ""server_id"": ""F7"",
      ""device_id"": 6,
      ""latency_cost"": 75
    },
    {
      ""server_id"": ""F7"",
      ""device_id"": 7,
      ""latency_cost"": 300
    },
    {
      ""server_id"": ""F7"",
      ""device_id"": 8,
      ""latency_cost"": 308
    },
    {
      ""server_id"": ""F7"",
      ""device_id"": 9,
      ""latency_cost"": 294
    },
    {
      ""server_id"": ""F7"",
      ""device_id"": 10,
      ""latency_cost"": 878
    },
    {
      ""server_id"": ""F7"",
      ""device_id"": 11,
      ""latency_cost"": 522
    },
    {
      ""server_id"": ""F7"",
      ""device_id"": 12,
      ""latency_cost"": 154
    },
    {
      ""server_id"": ""F7"",
      ""device_id"": 13,
      ""latency_cost"": 344
    },
    {
      ""server_id"": ""F7"",
      ""device_id"": 14,
      ""latency_cost"": 133
    },
    {
      ""server_id"": ""F7"",
      ""device_id"": 15,
      ""latency_cost"": 289
    },
    {
      ""server_id"": ""F7"",
      ""device_id"": 16,
      ""latency_cost"": 798
    }
  ]
}

You can just hand me the answer in a tiny JSON form like this — nothing fancy, just which sites you flip on and then, for every device in order, which powered site it uses:

{
  ""solution"": {
    ""selected"": [<site_to_open>, <site_to_open>, ...],
    ""assignments"": [<chosen_open_site>, <chosen_open_site>, ...]
  }
}

""selected"" is the short list of servers (sites) you decide to power up. ""assignments"" lists, in the same order as the devices were given in the instance, the site each device is bound to. Think of it like filling out a simple form: first pick the open sites, then say where each device goes. This JSON is just the shape I need — not the real answer.

Please make sure to use the exact identifiers from the instance input — don't rename or invent labels. Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'opening_costs': [1530, 1504, 1115, 1108, 1433, 1578, 1072], 'connection_costs': [[899, 303, 96, 500, 602, 530, 250, 759, 944, 490, 216, 716, 679, 218, 355, 774], [736, 976, 289, 249, 831, 205, 996, 202, 58, 939, 147, 452, 610, 766, 997, 284], [19, 78, 849, 993, 625, 833, 709, 923, 469, 943, 197, 859, 867, 954, 823, 798], [865, 443, 639, 596, 821, 954, 312, 884, 865, 865, 488, 929, 684, 522, 506, 149], [827, 933, 799, 929, 851, 770, 156, 884, 354, 157, 444, 5, 620, 542, 632, 250], [789, 520, 605, 929, 44, 766, 710, 466, 286, 100, 350, 904, 32, 23, 179, 150], [567, 795, 586, 465, 213, 75, 300, 308, 294, 878, 522, 154, 344, 133, 289, 798]], 'objective': 6761.0}","{'open_facilities': [2, 5, 6], 'assignments': [2, 2, 6, 6, 5, 6, 6, 6, 5, 5, 2, 6, 5, 5, 5, 5]}",6761.0,"{'problem_type': 'UFLP', 'num_facilities': 7, 'num_customers': 16, 'facilities': [{'id': 'F1', 'opening_cost': 1530}, {'id': 'F2', 'opening_cost': 1504}, {'id': 'F3', 'opening_cost': 1115}, {'id': 'F4', 'opening_cost': 1108}, {'id': 'F5', 'opening_cost': 1433}, {'id': 'F6', 'opening_cost': 1578}, {'id': 'F7', 'opening_cost': 1072}], 'customers': [{'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}, {'id': 16}], 'connection_costs': [{'facility': 'F1', 'customer': 1, 'cost': 899}, {'facility': 'F1', 'customer': 2, 'cost': 303}, {'facility': 'F1', 'customer': 3, 'cost': 96}, {'facility': 'F1', 'customer': 4, 'cost': 500}, {'facility': 'F1', 'customer': 5, 'cost': 602}, {'facility': 'F1', 'customer': 6, 'cost': 530}, {'facility': 'F1', 'customer': 7, 'cost': 250}, {'facility': 'F1', 'customer': 8, 'cost': 759}, {'facility': 'F1', 'customer': 9, 'cost': 944}, {'facility': 'F1', 'customer': 10, 'cost': 490}, {'facility': 'F1', 'customer': 11, 'cost': 216}, {'facility': 'F1', 'customer': 12, 'cost': 716}, {'facility': 'F1', 'customer': 13, 'cost': 679}, {'facility': 'F1', 'customer': 14, 'cost': 218}, {'facility': 'F1', 'customer': 15, 'cost': 355}, {'facility': 'F1', 'customer': 16, 'cost': 774}, {'facility': 'F2', 'customer': 1, 'cost': 736}, {'facility': 'F2', 'customer': 2, 'cost': 976}, {'facility': 'F2', 'customer': 3, 'cost': 289}, {'facility': 'F2', 'customer': 4, 'cost': 249}, {'facility': 'F2', 'customer': 5, 'cost': 831}, {'facility': 'F2', 'customer': 6, 'cost': 205}, {'facility': 'F2', 'customer': 7, 'cost': 996}, {'facility': 'F2', 'customer': 8, 'cost': 202}, {'facility': 'F2', 'customer': 9, 'cost': 58}, {'facility': 'F2', 'customer': 10, 'cost': 939}, {'facility': 'F2', 'customer': 11, 'cost': 147}, {'facility': 'F2', 'customer': 12, 'cost': 452}, {'facility': 'F2', 'customer': 13, 'cost': 610}, {'facility': 'F2', 'customer': 14, 'cost': 766}, {'facility': 'F2', 'customer': 15, 'cost': 997}, {'facility': 'F2', 'customer': 16, 'cost': 284}, {'facility': 'F3', 'customer': 1, 'cost': 19}, {'facility': 'F3', 'customer': 2, 'cost': 78}, {'facility': 'F3', 'customer': 3, 'cost': 849}, {'facility': 'F3', 'customer': 4, 'cost': 993}, {'facility': 'F3', 'customer': 5, 'cost': 625}, {'facility': 'F3', 'customer': 6, 'cost': 833}, {'facility': 'F3', 'customer': 7, 'cost': 709}, {'facility': 'F3', 'customer': 8, 'cost': 923}, {'facility': 'F3', 'customer': 9, 'cost': 469}, {'facility': 'F3', 'customer': 10, 'cost': 943}, {'facility': 'F3', 'customer': 11, 'cost': 197}, {'facility': 'F3', 'customer': 12, 'cost': 859}, {'facility': 'F3', 'customer': 13, 'cost': 867}, {'facility': 'F3', 'customer': 14, 'cost': 954}, {'facility': 'F3', 'customer': 15, 'cost': 823}, {'facility': 'F3', 'customer': 16, 'cost': 798}, {'facility': 'F4', 'customer': 1, 'cost': 865}, {'facility': 'F4', 'customer': 2, 'cost': 443}, {'facility': 'F4', 'customer': 3, 'cost': 639}, {'facility': 'F4', 'customer': 4, 'cost': 596}, {'facility': 'F4', 'customer': 5, 'cost': 821}, {'facility': 'F4', 'customer': 6, 'cost': 954}, {'facility': 'F4', 'customer': 7, 'cost': 312}, {'facility': 'F4', 'customer': 8, 'cost': 884}, {'facility': 'F4', 'customer': 9, 'cost': 865}, {'facility': 'F4', 'customer': 10, 'cost': 865}, {'facility': 'F4', 'customer': 11, 'cost': 488}, {'facility': 'F4', 'customer': 12, 'cost': 929}, {'facility': 'F4', 'customer': 13, 'cost': 684}, {'facility': 'F4', 'customer': 14, 'cost': 522}, {'facility': 'F4', 'customer': 15, 'cost': 506}, {'facility': 'F4', 'customer': 16, 'cost': 149}, {'facility': 'F5', 'customer': 1, 'cost': 827}, {'facility': 'F5', 'customer': 2, 'cost': 933}, {'facility': 'F5', 'customer': 3, 'cost': 799}, {'facility': 'F5', 'customer': 4, 'cost': 929}, {'facility': 'F5', 'customer': 5, 'cost': 851}, {'facility': 'F5', 'customer': 6, 'cost': 770}, {'facility': 'F5', 'customer': 7, 'cost': 156}, {'facility': 'F5', 'customer': 8, 'cost': 884}, {'facility': 'F5', 'customer': 9, 'cost': 354}, {'facility': 'F5', 'customer': 10, 'cost': 157}, {'facility': 'F5', 'customer': 11, 'cost': 444}, {'facility': 'F5', 'customer': 12, 'cost': 5}, {'facility': 'F5', 'customer': 13, 'cost': 620}, {'facility': 'F5', 'customer': 14, 'cost': 542}, {'facility': 'F5', 'customer': 15, 'cost': 632}, {'facility': 'F5', 'customer': 16, 'cost': 250}, {'facility': 'F6', 'customer': 1, 'cost': 789}, {'facility': 'F6', 'customer': 2, 'cost': 520}, {'facility': 'F6', 'customer': 3, 'cost': 605}, {'facility': 'F6', 'customer': 4, 'cost': 929}, {'facility': 'F6', 'customer': 5, 'cost': 44}, {'facility': 'F6', 'customer': 6, 'cost': 766}, {'facility': 'F6', 'customer': 7, 'cost': 710}, {'facility': 'F6', 'customer': 8, 'cost': 466}, {'facility': 'F6', 'customer': 9, 'cost': 286}, {'facility': 'F6', 'customer': 10, 'cost': 100}, {'facility': 'F6', 'customer': 11, 'cost': 350}, {'facility': 'F6', 'customer': 12, 'cost': 904}, {'facility': 'F6', 'customer': 13, 'cost': 32}, {'facility': 'F6', 'customer': 14, 'cost': 23}, {'facility': 'F6', 'customer': 15, 'cost': 179}, {'facility': 'F6', 'customer': 16, 'cost': 150}, {'facility': 'F7', 'customer': 1, 'cost': 567}, {'facility': 'F7', 'customer': 2, 'cost': 795}, {'facility': 'F7', 'customer': 3, 'cost': 586}, {'facility': 'F7', 'customer': 4, 'cost': 465}, {'facility': 'F7', 'customer': 5, 'cost': 213}, {'facility': 'F7', 'customer': 6, 'cost': 75}, {'facility': 'F7', 'customer': 7, 'cost': 300}, {'facility': 'F7', 'customer': 8, 'cost': 308}, {'facility': 'F7', 'customer': 9, 'cost': 294}, {'facility': 'F7', 'customer': 10, 'cost': 878}, {'facility': 'F7', 'customer': 11, 'cost': 522}, {'facility': 'F7', 'customer': 12, 'cost': 154}, {'facility': 'F7', 'customer': 13, 'cost': 344}, {'facility': 'F7', 'customer': 14, 'cost': 133}, {'facility': 'F7', 'customer': 15, 'cost': 289}, {'facility': 'F7', 'customer': 16, 'cost': 798}], 'objective': 6761.0}","{'selected': ['F3', 'F6', 'F7'], 'assignments': ['F3', 'F3', 'F7', 'F7', 'F6', 'F7', 'F7', 'F7', 'F6', 'F6', 'F3', 'F7', 'F6', 'F6', 'F6', 'F6']}",20,json,1
UFLP,UFLP,"Out on the road the charging crew chooses which stations to fire up and which active station each customer will visit. Switching on a station costs money, and sending a customer there causes a detour cost — every customer needs exactly one station and can’t be split between stations. The smartest choice is the one that yields the lowest total bill: total activation costs plus total customer detour costs, and the scenario’s exact details are shown below.

Below are the 6 candidate charging stations, the 15 customers, and the station activation costs: 6535, 7582, 8084, 2659, 7826, 6354.
Station F1 costs 6535 to switch on.
Station F2 costs 7582 to switch on.
Station F3 costs 8084 to switch on.
Station F4 costs 2659 to switch on.
Station F5 costs 7826 to switch on.
Station F6 costs 6354 to switch on.
Customer A assigned to station F1 incurs detour 501.
Customer B assigned to station F1 incurs detour 138.
Customer C assigned to station F1 incurs detour 548.
Customer D assigned to station F1 incurs detour 323.
Customer E assigned to station F1 incurs detour 733.
Customer F assigned to station F1 incurs detour 323.
Customer G assigned to station F1 incurs detour 618.
Customer H assigned to station F1 incurs detour 414.
Customer I assigned to station F1 incurs detour 444.
Customer J assigned to station F1 incurs detour 619.
Customer K assigned to station F1 incurs detour 181.
Customer L assigned to station F1 incurs detour 348.
Customer M assigned to station F1 incurs detour 977.
Customer N assigned to station F1 incurs detour 518.
Customer O assigned to station F1 incurs detour 756.
Customer A assigned to station F2 incurs detour 304.
Customer B assigned to station F2 incurs detour 568.
Customer C assigned to station F2 incurs detour 391.
Customer D assigned to station F2 incurs detour 389.
Customer E assigned to station F2 incurs detour 728.
Customer F assigned to station F2 incurs detour 888.
Customer G assigned to station F2 incurs detour 781.
Customer H assigned to station F2 incurs detour 417.
Customer I assigned to station F2 incurs detour 992.
Customer J assigned to station F2 incurs detour 141.
Customer K assigned to station F2 incurs detour 336.
Customer L assigned to station F2 incurs detour 463.
Customer M assigned to station F2 incurs detour 468.
Customer N assigned to station F2 incurs detour 76.
Customer O assigned to station F2 incurs detour 908.
Customer A assigned to station F3 incurs detour 27.
Customer B assigned to station F3 incurs detour 436.
Customer C assigned to station F3 incurs detour 152.
Customer D assigned to station F3 incurs detour 138.
Customer E assigned to station F3 incurs detour 591.
Customer F assigned to station F3 incurs detour 498.
Customer G assigned to station F3 incurs detour 525.
Customer H assigned to station F3 incurs detour 106.
Customer I assigned to station F3 incurs detour 467.
Customer J assigned to station F3 incurs detour 580.
Customer K assigned to station F3 incurs detour 744.
Customer L assigned to station F3 incurs detour 756.
Customer M assigned to station F3 incurs detour 700.
Customer N assigned to station F3 incurs detour 514.
Customer O assigned to station F3 incurs detour 859.
Customer A assigned to station F4 incurs detour 898.
Customer B assigned to station F4 incurs detour 744.
Customer C assigned to station F4 incurs detour 81.
Customer D assigned to station F4 incurs detour 981.
Customer E assigned to station F4 incurs detour 100.
Customer F assigned to station F4 incurs detour 83.
Customer G assigned to station F4 incurs detour 887.
Customer H assigned to station F4 incurs detour 894.
Customer I assigned to station F4 incurs detour 884.
Customer J assigned to station F4 incurs detour 989.
Customer K assigned to station F4 incurs detour 476.
Customer L assigned to station F4 incurs detour 722.
Customer M assigned to station F4 incurs detour 248.
Customer N assigned to station F4 incurs detour 378.
Customer O assigned to station F4 incurs detour 554.
Customer A assigned to station F5 incurs detour 163.
Customer B assigned to station F5 incurs detour 119.
Customer C assigned to station F5 incurs detour 728.
Customer D assigned to station F5 incurs detour 374.
Customer E assigned to station F5 incurs detour 277.
Customer F assigned to station F5 incurs detour 213.
Customer G assigned to station F5 incurs detour 994.
Customer H assigned to station F5 incurs detour 678.
Customer I assigned to station F5 incurs detour 721.
Customer J assigned to station F5 incurs detour 966.
Customer K assigned to station F5 incurs detour 646.
Customer L assigned to station F5 incurs detour 131.
Customer M assigned to station F5 incurs detour 376.
Customer N assigned to station F5 incurs detour 671.
Customer O assigned to station F5 incurs detour 136.
Customer A assigned to station F6 incurs detour 484.
Customer B assigned to station F6 incurs detour 114.
Customer C assigned to station F6 incurs detour 530.
Customer D assigned to station F6 incurs detour 397.
Customer E assigned to station F6 incurs detour 686.
Customer F assigned to station F6 incurs detour 234.
Customer G assigned to station F6 incurs detour 121.
Customer H assigned to station F6 incurs detour 590.
Customer I assigned to station F6 incurs detour 721.
Customer J assigned to station F6 incurs detour 539.
Customer K assigned to station F6 incurs detour 822.
Customer L assigned to station F6 incurs detour 63.
Customer M assigned to station F6 incurs detour 35.
Customer N assigned to station F6 incurs detour 979.
Customer O assigned to station F6 incurs detour 649.
The crew will pick which stations to activate and which customer goes where so the total of activation plus detour costs is as low as possible.

Also, to keep things tidy, please return your pick in this simple JSON shape — just a quick sketch of the form I’ll read. It should look like this:

{
  ""solution"": {
    ""selected"": [<station_to_open>, <station_to_open>, ...],
    ""assignments"": [<chosen_open_station>, <chosen_open_station>, ...]
  }
}

""selected"" is the list of stations the crew decides to switch on. ""assignments"" lists, for each customer in the input order, which opened station that customer will visit. Think of it like a filled-in form: which stations are active, and for each customer where they go.

This JSON is just the expected shape — not the actual solution itself. And one more important note: use the exact identifiers from the instance input, do not rename them or invent new labels. Valid identifiers look like plain numbers such as ""1"" or ""23"", single capital letters like ""A"" or ""B"", or a capital letter followed by digits like ""A1"" or ""X7"".","{'opening_costs': [6535, 7582, 8084, 2659, 7826, 6354], 'connection_costs': [[501, 138, 548, 323, 733, 323, 618, 414, 444, 619, 181, 348, 977, 518, 756], [304, 568, 391, 389, 728, 888, 781, 417, 992, 141, 336, 463, 468, 76, 908], [27, 436, 152, 138, 591, 498, 525, 106, 467, 580, 744, 756, 700, 514, 859], [898, 744, 81, 981, 100, 83, 887, 894, 884, 989, 476, 722, 248, 378, 554], [163, 119, 728, 374, 277, 213, 994, 678, 721, 966, 646, 131, 376, 671, 136], [484, 114, 530, 397, 686, 234, 121, 590, 721, 539, 822, 63, 35, 979, 649]], 'objective': 11578.0}","{'open_facilities': [3], 'assignments': [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]}",11578.0,"{'problem_type': 'UFLP', 'num_facilities': 6, 'num_customers': 15, 'facilities': [{'id': 'F1', 'opening_cost': 6535}, {'id': 'F2', 'opening_cost': 7582}, {'id': 'F3', 'opening_cost': 8084}, {'id': 'F4', 'opening_cost': 2659}, {'id': 'F5', 'opening_cost': 7826}, {'id': 'F6', 'opening_cost': 6354}], 'customers': [{'id': 'A'}, {'id': 'B'}, {'id': 'C'}, {'id': 'D'}, {'id': 'E'}, {'id': 'F'}, {'id': 'G'}, {'id': 'H'}, {'id': 'I'}, {'id': 'J'}, {'id': 'K'}, {'id': 'L'}, {'id': 'M'}, {'id': 'N'}, {'id': 'O'}], 'connection_costs': [{'facility': 'F1', 'customer': 'A', 'cost': 501}, {'facility': 'F1', 'customer': 'B', 'cost': 138}, {'facility': 'F1', 'customer': 'C', 'cost': 548}, {'facility': 'F1', 'customer': 'D', 'cost': 323}, {'facility': 'F1', 'customer': 'E', 'cost': 733}, {'facility': 'F1', 'customer': 'F', 'cost': 323}, {'facility': 'F1', 'customer': 'G', 'cost': 618}, {'facility': 'F1', 'customer': 'H', 'cost': 414}, {'facility': 'F1', 'customer': 'I', 'cost': 444}, {'facility': 'F1', 'customer': 'J', 'cost': 619}, {'facility': 'F1', 'customer': 'K', 'cost': 181}, {'facility': 'F1', 'customer': 'L', 'cost': 348}, {'facility': 'F1', 'customer': 'M', 'cost': 977}, {'facility': 'F1', 'customer': 'N', 'cost': 518}, {'facility': 'F1', 'customer': 'O', 'cost': 756}, {'facility': 'F2', 'customer': 'A', 'cost': 304}, {'facility': 'F2', 'customer': 'B', 'cost': 568}, {'facility': 'F2', 'customer': 'C', 'cost': 391}, {'facility': 'F2', 'customer': 'D', 'cost': 389}, {'facility': 'F2', 'customer': 'E', 'cost': 728}, {'facility': 'F2', 'customer': 'F', 'cost': 888}, {'facility': 'F2', 'customer': 'G', 'cost': 781}, {'facility': 'F2', 'customer': 'H', 'cost': 417}, {'facility': 'F2', 'customer': 'I', 'cost': 992}, {'facility': 'F2', 'customer': 'J', 'cost': 141}, {'facility': 'F2', 'customer': 'K', 'cost': 336}, {'facility': 'F2', 'customer': 'L', 'cost': 463}, {'facility': 'F2', 'customer': 'M', 'cost': 468}, {'facility': 'F2', 'customer': 'N', 'cost': 76}, {'facility': 'F2', 'customer': 'O', 'cost': 908}, {'facility': 'F3', 'customer': 'A', 'cost': 27}, {'facility': 'F3', 'customer': 'B', 'cost': 436}, {'facility': 'F3', 'customer': 'C', 'cost': 152}, {'facility': 'F3', 'customer': 'D', 'cost': 138}, {'facility': 'F3', 'customer': 'E', 'cost': 591}, {'facility': 'F3', 'customer': 'F', 'cost': 498}, {'facility': 'F3', 'customer': 'G', 'cost': 525}, {'facility': 'F3', 'customer': 'H', 'cost': 106}, {'facility': 'F3', 'customer': 'I', 'cost': 467}, {'facility': 'F3', 'customer': 'J', 'cost': 580}, {'facility': 'F3', 'customer': 'K', 'cost': 744}, {'facility': 'F3', 'customer': 'L', 'cost': 756}, {'facility': 'F3', 'customer': 'M', 'cost': 700}, {'facility': 'F3', 'customer': 'N', 'cost': 514}, {'facility': 'F3', 'customer': 'O', 'cost': 859}, {'facility': 'F4', 'customer': 'A', 'cost': 898}, {'facility': 'F4', 'customer': 'B', 'cost': 744}, {'facility': 'F4', 'customer': 'C', 'cost': 81}, {'facility': 'F4', 'customer': 'D', 'cost': 981}, {'facility': 'F4', 'customer': 'E', 'cost': 100}, {'facility': 'F4', 'customer': 'F', 'cost': 83}, {'facility': 'F4', 'customer': 'G', 'cost': 887}, {'facility': 'F4', 'customer': 'H', 'cost': 894}, {'facility': 'F4', 'customer': 'I', 'cost': 884}, {'facility': 'F4', 'customer': 'J', 'cost': 989}, {'facility': 'F4', 'customer': 'K', 'cost': 476}, {'facility': 'F4', 'customer': 'L', 'cost': 722}, {'facility': 'F4', 'customer': 'M', 'cost': 248}, {'facility': 'F4', 'customer': 'N', 'cost': 378}, {'facility': 'F4', 'customer': 'O', 'cost': 554}, {'facility': 'F5', 'customer': 'A', 'cost': 163}, {'facility': 'F5', 'customer': 'B', 'cost': 119}, {'facility': 'F5', 'customer': 'C', 'cost': 728}, {'facility': 'F5', 'customer': 'D', 'cost': 374}, {'facility': 'F5', 'customer': 'E', 'cost': 277}, {'facility': 'F5', 'customer': 'F', 'cost': 213}, {'facility': 'F5', 'customer': 'G', 'cost': 994}, {'facility': 'F5', 'customer': 'H', 'cost': 678}, {'facility': 'F5', 'customer': 'I', 'cost': 721}, {'facility': 'F5', 'customer': 'J', 'cost': 966}, {'facility': 'F5', 'customer': 'K', 'cost': 646}, {'facility': 'F5', 'customer': 'L', 'cost': 131}, {'facility': 'F5', 'customer': 'M', 'cost': 376}, {'facility': 'F5', 'customer': 'N', 'cost': 671}, {'facility': 'F5', 'customer': 'O', 'cost': 136}, {'facility': 'F6', 'customer': 'A', 'cost': 484}, {'facility': 'F6', 'customer': 'B', 'cost': 114}, {'facility': 'F6', 'customer': 'C', 'cost': 530}, {'facility': 'F6', 'customer': 'D', 'cost': 397}, {'facility': 'F6', 'customer': 'E', 'cost': 686}, {'facility': 'F6', 'customer': 'F', 'cost': 234}, {'facility': 'F6', 'customer': 'G', 'cost': 121}, {'facility': 'F6', 'customer': 'H', 'cost': 590}, {'facility': 'F6', 'customer': 'I', 'cost': 721}, {'facility': 'F6', 'customer': 'J', 'cost': 539}, {'facility': 'F6', 'customer': 'K', 'cost': 822}, {'facility': 'F6', 'customer': 'L', 'cost': 63}, {'facility': 'F6', 'customer': 'M', 'cost': 35}, {'facility': 'F6', 'customer': 'N', 'cost': 979}, {'facility': 'F6', 'customer': 'O', 'cost': 649}], 'objective': 11578.0}","{'selected': ['F4'], 'assignments': ['F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4']}",21,nl,names
UFLP,UFLP,"Someone on the school staff is lining up afternoon tutoring and has to pick which rooms to open and where each student will go. What makes one plan better than another is simple: add together the rental charges for the chosen rooms and the travel burden for each student — the plan that gives the smallest combined amount is preferred. No student can be left unassigned or split between rooms; every student goes to one offered room, and rooms don’t have hard capacity limits. The concrete details follow below.

There are 8 candidate rooms to consider, 19 students to assign, and the room rental costs are 2000, 2000, 2000, 2000, 2000, 2000, 2000, 2000.
Room F1 has a rental charge of 2000 if opened for the afternoon.
Room F2 has a rental charge of 2000 if opened for the afternoon.
Room F3 has a rental charge of 2000 if opened for the afternoon.
Room F4 has a rental charge of 2000 if opened for the afternoon.
Room F5 has a rental charge of 2000 if opened for the afternoon.
Room F6 has a rental charge of 2000 if opened for the afternoon.
Room F7 has a rental charge of 2000 if opened for the afternoon.
Room F8 has a rental charge of 2000 if opened for the afternoon.
Student 0 would incur travel cost 475 to attend room F1.
Student 1 would incur travel cost 212 to attend room F1.
Student 2 would incur travel cost 40 to attend room F1.
Student 3 would incur travel cost 420 to attend room F1.
Student 4 would incur travel cost 722 to attend room F1.
Student 5 would incur travel cost 530 to attend room F1.
Student 6 would incur travel cost 618 to attend room F1.
Student 7 would incur travel cost 141 to attend room F1.
Student 8 would incur travel cost 45 to attend room F1.
Student 9 would incur travel cost 356 to attend room F1.
Student 10 would incur travel cost 604 to attend room F1.
Student 11 would incur travel cost 733 to attend room F1.
Student 12 would incur travel cost 989 to attend room F1.
Student 13 would incur travel cost 450 to attend room F1.
Student 14 would incur travel cost 975 to attend room F1.
Student 15 would incur travel cost 633 to attend room F1.
Student 16 would incur travel cost 840 to attend room F1.
Student 17 would incur travel cost 915 to attend room F1.
Student 18 would incur travel cost 263 to attend room F1.
Student 0 would incur travel cost 116 to attend room F2.
Student 1 would incur travel cost 323 to attend room F2.
Student 2 would incur travel cost 403 to attend room F2.
Student 3 would incur travel cost 569 to attend room F2.
Student 4 would incur travel cost 597 to attend room F2.
Student 5 would incur travel cost 490 to attend room F2.
Student 6 would incur travel cost 415 to attend room F2.
Student 7 would incur travel cost 305 to attend room F2.
Student 8 would incur travel cost 743 to attend room F2.
Student 9 would incur travel cost 427 to attend room F2.
Student 10 would incur travel cost 244 to attend room F2.
Student 11 would incur travel cost 658 to attend room F2.
Student 12 would incur travel cost 238 to attend room F2.
Student 13 would incur travel cost 851 to attend room F2.
Student 14 would incur travel cost 173 to attend room F2.
Student 15 would incur travel cost 158 to attend room F2.
Student 16 would incur travel cost 101 to attend room F2.
Student 17 would incur travel cost 745 to attend room F2.
Student 18 would incur travel cost 447 to attend room F2.
Student 0 would incur travel cost 85 to attend room F3.
Student 1 would incur travel cost 300 to attend room F3.
Student 2 would incur travel cost 732 to attend room F3.
Student 3 would incur travel cost 291 to attend room F3.
Student 4 would incur travel cost 799 to attend room F3.
Student 5 would incur travel cost 952 to attend room F3.
Student 6 would incur travel cost 162 to attend room F3.
Student 7 would incur travel cost 850 to attend room F3.
Student 8 would incur travel cost 978 to attend room F3.
Student 9 would incur travel cost 57 to attend room F3.
Student 10 would incur travel cost 550 to attend room F3.
Student 11 would incur travel cost 218 to attend room F3.
Student 12 would incur travel cost 103 to attend room F3.
Student 13 would incur travel cost 57 to attend room F3.
Student 14 would incur travel cost 602 to attend room F3.
Student 15 would incur travel cost 172 to attend room F3.
Student 16 would incur travel cost 343 to attend room F3.
Student 17 would incur travel cost 433 to attend room F3.
Student 18 would incur travel cost 985 to attend room F3.
Student 0 would incur travel cost 819 to attend room F4.
Student 1 would incur travel cost 299 to attend room F4.
Student 2 would incur travel cost 299 to attend room F4.
Student 3 would incur travel cost 654 to attend room F4.
Student 4 would incur travel cost 751 to attend room F4.
Student 5 would incur travel cost 332 to attend room F4.
Student 6 would incur travel cost 595 to attend room F4.
Student 7 would incur travel cost 223 to attend room F4.
Student 8 would incur travel cost 938 to attend room F4.
Student 9 would incur travel cost 822 to attend room F4.
Student 10 would incur travel cost 797 to attend room F4.
Student 11 would incur travel cost 834 to attend room F4.
Student 12 would incur travel cost 90 to attend room F4.
Student 13 would incur travel cost 808 to attend room F4.
Student 14 would incur travel cost 342 to attend room F4.
Student 15 would incur travel cost 600 to attend room F4.
Student 16 would incur travel cost 220 to attend room F4.
Student 17 would incur travel cost 579 to attend room F4.
Student 18 would incur travel cost 327 to attend room F4.
Student 0 would incur travel cost 758 to attend room F5.
Student 1 would incur travel cost 384 to attend room F5.
Student 2 would incur travel cost 173 to attend room F5.
Student 3 would incur travel cost 198 to attend room F5.
Student 4 would incur travel cost 380 to attend room F5.
Student 5 would incur travel cost 667 to attend room F5.
Student 6 would incur travel cost 50 to attend room F5.
Student 7 would incur travel cost 794 to attend room F5.
Student 8 would incur travel cost 580 to attend room F5.
Student 9 would incur travel cost 633 to attend room F5.
Student 10 would incur travel cost 599 to attend room F5.
Student 11 would incur travel cost 891 to attend room F5.
Student 12 would incur travel cost 52 to attend room F5.
Student 13 would incur travel cost 500 to attend room F5.
Student 14 would incur travel cost 877 to attend room F5.
Student 15 would incur travel cost 582 to attend room F5.
Student 16 would incur travel cost 570 to attend room F5.
Student 17 would incur travel cost 188 to attend room F5.
Student 18 would incur travel cost 393 to attend room F5.
Student 0 would incur travel cost 163 to attend room F6.
Student 1 would incur travel cost 270 to attend room F6.
Student 2 would incur travel cost 10 to attend room F6.
Student 3 would incur travel cost 894 to attend room F6.
Student 4 would incur travel cost 65 to attend room F6.
Student 5 would incur travel cost 981 to attend room F6.
Student 6 would incur travel cost 103 to attend room F6.
Student 7 would incur travel cost 286 to attend room F6.
Student 8 would incur travel cost 525 to attend room F6.
Student 9 would incur travel cost 968 to attend room F6.
Student 10 would incur travel cost 760 to attend room F6.
Student 11 would incur travel cost 235 to attend room F6.
Student 12 would incur travel cost 835 to attend room F6.
Student 13 would incur travel cost 721 to attend room F6.
Student 14 would incur travel cost 136 to attend room F6.
Student 15 would incur travel cost 531 to attend room F6.
Student 16 would incur travel cost 357 to attend room F6.
Student 17 would incur travel cost 192 to attend room F6.
Student 18 would incur travel cost 427 to attend room F6.
Student 0 would incur travel cost 991 to attend room F7.
Student 1 would incur travel cost 831 to attend room F7.
Student 2 would incur travel cost 315 to attend room F7.
Student 3 would incur travel cost 990 to attend room F7.
Student 4 would incur travel cost 913 to attend room F7.
Student 5 would incur travel cost 934 to attend room F7.
Student 6 would incur travel cost 155 to attend room F7.
Student 7 would incur travel cost 476 to attend room F7.
Student 8 would incur travel cost 868 to attend room F7.
Student 9 would incur travel cost 987 to attend room F7.
Student 10 would incur travel cost 329 to attend room F7.
Student 11 would incur travel cost 165 to attend room F7.
Student 12 would incur travel cost 42 to attend room F7.
Student 13 would incur travel cost 621 to attend room F7.
Student 14 would incur travel cost 183 to attend room F7.
Student 15 would incur travel cost 862 to attend room F7.
Student 16 would incur travel cost 13 to attend room F7.
Student 17 would incur travel cost 320 to attend room F7.
Student 18 would incur travel cost 175 to attend room F7.
Student 0 would incur travel cost 918 to attend room F8.
Student 1 would incur travel cost 377 to attend room F8.
Student 2 would incur travel cost 753 to attend room F8.
Student 3 would incur travel cost 964 to attend room F8.
Student 4 would incur travel cost 970 to attend room F8.
Student 5 would incur travel cost 908 to attend room F8.
Student 6 would incur travel cost 12 to attend room F8.
Student 7 would incur travel cost 278 to attend room F8.
Student 8 would incur travel cost 522 to attend room F8.
Student 9 would incur travel cost 684 to attend room F8.
Student 10 would incur travel cost 669 to attend room F8.
Student 11 would incur travel cost 670 to attend room F8.
Student 12 would incur travel cost 176 to attend room F8.
Student 13 would incur travel cost 385 to attend room F8.
Student 14 would incur travel cost 187 to attend room F8.
Student 15 would incur travel cost 946 to attend room F8.
Student 16 would incur travel cost 887 to attend room F8.
Student 17 would incur travel cost 307 to attend room F8.
Student 18 would incur travel cost 328 to attend room F8.
Use these details to pick which rooms to open and where each student goes so the combined rental and travel cost is minimized.

If you want to hand me the plan, a small JSON sketch is easiest — something that lists which rooms you open and, for each student, which opened room they go to. Here’s the shape I expect:

{
  ""solution"": {
    ""selected"": [<room_to_open>, <room_to_open>, ...],
    ""assignments"": [<chosen_open_room>, <chosen_open_room>, ...]
  }
}

""selected"" is just the list of room IDs you decide to open (the rental charges will be counted for those). ""assignments"" gives one entry per student showing the room they’ll attend — so the first entry is the room for the first student, the second for the second student, and so on. Easy, no extra fields needed.

This is just a sketch of the expected shape, not the actual answer — fill it in with the real IDs from the instance input.

Please use the exact identifiers from the instance input — do not rename them or invent new labels. For example: Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'opening_costs': [2000, 2000, 2000, 2000, 2000, 2000, 2000, 2000], 'connection_costs': [[475, 212, 40, 420, 722, 530, 618, 141, 45, 356, 604, 733, 989, 450, 975, 633, 840, 915, 263], [116, 323, 403, 569, 597, 490, 415, 305, 743, 427, 244, 658, 238, 851, 173, 158, 101, 745, 447], [85, 300, 732, 291, 799, 952, 162, 850, 978, 57, 550, 218, 103, 57, 602, 172, 343, 433, 985], [819, 299, 299, 654, 751, 332, 595, 223, 938, 822, 797, 834, 90, 808, 342, 600, 220, 579, 327], [758, 384, 173, 198, 380, 667, 50, 794, 580, 633, 599, 891, 52, 500, 877, 582, 570, 188, 393], [163, 270, 10, 894, 65, 981, 103, 286, 525, 968, 760, 235, 835, 721, 136, 531, 357, 192, 427], [991, 831, 315, 990, 913, 934, 155, 476, 868, 987, 329, 165, 42, 621, 183, 862, 13, 320, 175], [918, 377, 753, 964, 970, 908, 12, 278, 522, 684, 669, 670, 176, 385, 187, 946, 887, 307, 328]], 'objective': 8842.0}","{'open_facilities': [2, 5], 'assignments': [2, 5, 5, 2, 5, 2, 5, 5, 5, 2, 2, 2, 2, 2, 5, 2, 2, 5, 5]}",8842.0,"{'problem_type': 'UFLP', 'num_facilities': 8, 'num_customers': 19, 'facilities': [{'id': 'F1', 'opening_cost': 2000}, {'id': 'F2', 'opening_cost': 2000}, {'id': 'F3', 'opening_cost': 2000}, {'id': 'F4', 'opening_cost': 2000}, {'id': 'F5', 'opening_cost': 2000}, {'id': 'F6', 'opening_cost': 2000}, {'id': 'F7', 'opening_cost': 2000}, {'id': 'F8', 'opening_cost': 2000}], 'customers': [{'id': 0}, {'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}, {'id': 16}, {'id': 17}, {'id': 18}], 'connection_costs': [{'facility': 'F1', 'customer': 0, 'cost': 475}, {'facility': 'F1', 'customer': 1, 'cost': 212}, {'facility': 'F1', 'customer': 2, 'cost': 40}, {'facility': 'F1', 'customer': 3, 'cost': 420}, {'facility': 'F1', 'customer': 4, 'cost': 722}, {'facility': 'F1', 'customer': 5, 'cost': 530}, {'facility': 'F1', 'customer': 6, 'cost': 618}, {'facility': 'F1', 'customer': 7, 'cost': 141}, {'facility': 'F1', 'customer': 8, 'cost': 45}, {'facility': 'F1', 'customer': 9, 'cost': 356}, {'facility': 'F1', 'customer': 10, 'cost': 604}, {'facility': 'F1', 'customer': 11, 'cost': 733}, {'facility': 'F1', 'customer': 12, 'cost': 989}, {'facility': 'F1', 'customer': 13, 'cost': 450}, {'facility': 'F1', 'customer': 14, 'cost': 975}, {'facility': 'F1', 'customer': 15, 'cost': 633}, {'facility': 'F1', 'customer': 16, 'cost': 840}, {'facility': 'F1', 'customer': 17, 'cost': 915}, {'facility': 'F1', 'customer': 18, 'cost': 263}, {'facility': 'F2', 'customer': 0, 'cost': 116}, {'facility': 'F2', 'customer': 1, 'cost': 323}, {'facility': 'F2', 'customer': 2, 'cost': 403}, {'facility': 'F2', 'customer': 3, 'cost': 569}, {'facility': 'F2', 'customer': 4, 'cost': 597}, {'facility': 'F2', 'customer': 5, 'cost': 490}, {'facility': 'F2', 'customer': 6, 'cost': 415}, {'facility': 'F2', 'customer': 7, 'cost': 305}, {'facility': 'F2', 'customer': 8, 'cost': 743}, {'facility': 'F2', 'customer': 9, 'cost': 427}, {'facility': 'F2', 'customer': 10, 'cost': 244}, {'facility': 'F2', 'customer': 11, 'cost': 658}, {'facility': 'F2', 'customer': 12, 'cost': 238}, {'facility': 'F2', 'customer': 13, 'cost': 851}, {'facility': 'F2', 'customer': 14, 'cost': 173}, {'facility': 'F2', 'customer': 15, 'cost': 158}, {'facility': 'F2', 'customer': 16, 'cost': 101}, {'facility': 'F2', 'customer': 17, 'cost': 745}, {'facility': 'F2', 'customer': 18, 'cost': 447}, {'facility': 'F3', 'customer': 0, 'cost': 85}, {'facility': 'F3', 'customer': 1, 'cost': 300}, {'facility': 'F3', 'customer': 2, 'cost': 732}, {'facility': 'F3', 'customer': 3, 'cost': 291}, {'facility': 'F3', 'customer': 4, 'cost': 799}, {'facility': 'F3', 'customer': 5, 'cost': 952}, {'facility': 'F3', 'customer': 6, 'cost': 162}, {'facility': 'F3', 'customer': 7, 'cost': 850}, {'facility': 'F3', 'customer': 8, 'cost': 978}, {'facility': 'F3', 'customer': 9, 'cost': 57}, {'facility': 'F3', 'customer': 10, 'cost': 550}, {'facility': 'F3', 'customer': 11, 'cost': 218}, {'facility': 'F3', 'customer': 12, 'cost': 103}, {'facility': 'F3', 'customer': 13, 'cost': 57}, {'facility': 'F3', 'customer': 14, 'cost': 602}, {'facility': 'F3', 'customer': 15, 'cost': 172}, {'facility': 'F3', 'customer': 16, 'cost': 343}, {'facility': 'F3', 'customer': 17, 'cost': 433}, {'facility': 'F3', 'customer': 18, 'cost': 985}, {'facility': 'F4', 'customer': 0, 'cost': 819}, {'facility': 'F4', 'customer': 1, 'cost': 299}, {'facility': 'F4', 'customer': 2, 'cost': 299}, {'facility': 'F4', 'customer': 3, 'cost': 654}, {'facility': 'F4', 'customer': 4, 'cost': 751}, {'facility': 'F4', 'customer': 5, 'cost': 332}, {'facility': 'F4', 'customer': 6, 'cost': 595}, {'facility': 'F4', 'customer': 7, 'cost': 223}, {'facility': 'F4', 'customer': 8, 'cost': 938}, {'facility': 'F4', 'customer': 9, 'cost': 822}, {'facility': 'F4', 'customer': 10, 'cost': 797}, {'facility': 'F4', 'customer': 11, 'cost': 834}, {'facility': 'F4', 'customer': 12, 'cost': 90}, {'facility': 'F4', 'customer': 13, 'cost': 808}, {'facility': 'F4', 'customer': 14, 'cost': 342}, {'facility': 'F4', 'customer': 15, 'cost': 600}, {'facility': 'F4', 'customer': 16, 'cost': 220}, {'facility': 'F4', 'customer': 17, 'cost': 579}, {'facility': 'F4', 'customer': 18, 'cost': 327}, {'facility': 'F5', 'customer': 0, 'cost': 758}, {'facility': 'F5', 'customer': 1, 'cost': 384}, {'facility': 'F5', 'customer': 2, 'cost': 173}, {'facility': 'F5', 'customer': 3, 'cost': 198}, {'facility': 'F5', 'customer': 4, 'cost': 380}, {'facility': 'F5', 'customer': 5, 'cost': 667}, {'facility': 'F5', 'customer': 6, 'cost': 50}, {'facility': 'F5', 'customer': 7, 'cost': 794}, {'facility': 'F5', 'customer': 8, 'cost': 580}, {'facility': 'F5', 'customer': 9, 'cost': 633}, {'facility': 'F5', 'customer': 10, 'cost': 599}, {'facility': 'F5', 'customer': 11, 'cost': 891}, {'facility': 'F5', 'customer': 12, 'cost': 52}, {'facility': 'F5', 'customer': 13, 'cost': 500}, {'facility': 'F5', 'customer': 14, 'cost': 877}, {'facility': 'F5', 'customer': 15, 'cost': 582}, {'facility': 'F5', 'customer': 16, 'cost': 570}, {'facility': 'F5', 'customer': 17, 'cost': 188}, {'facility': 'F5', 'customer': 18, 'cost': 393}, {'facility': 'F6', 'customer': 0, 'cost': 163}, {'facility': 'F6', 'customer': 1, 'cost': 270}, {'facility': 'F6', 'customer': 2, 'cost': 10}, {'facility': 'F6', 'customer': 3, 'cost': 894}, {'facility': 'F6', 'customer': 4, 'cost': 65}, {'facility': 'F6', 'customer': 5, 'cost': 981}, {'facility': 'F6', 'customer': 6, 'cost': 103}, {'facility': 'F6', 'customer': 7, 'cost': 286}, {'facility': 'F6', 'customer': 8, 'cost': 525}, {'facility': 'F6', 'customer': 9, 'cost': 968}, {'facility': 'F6', 'customer': 10, 'cost': 760}, {'facility': 'F6', 'customer': 11, 'cost': 235}, {'facility': 'F6', 'customer': 12, 'cost': 835}, {'facility': 'F6', 'customer': 13, 'cost': 721}, {'facility': 'F6', 'customer': 14, 'cost': 136}, {'facility': 'F6', 'customer': 15, 'cost': 531}, {'facility': 'F6', 'customer': 16, 'cost': 357}, {'facility': 'F6', 'customer': 17, 'cost': 192}, {'facility': 'F6', 'customer': 18, 'cost': 427}, {'facility': 'F7', 'customer': 0, 'cost': 991}, {'facility': 'F7', 'customer': 1, 'cost': 831}, {'facility': 'F7', 'customer': 2, 'cost': 315}, {'facility': 'F7', 'customer': 3, 'cost': 990}, {'facility': 'F7', 'customer': 4, 'cost': 913}, {'facility': 'F7', 'customer': 5, 'cost': 934}, {'facility': 'F7', 'customer': 6, 'cost': 155}, {'facility': 'F7', 'customer': 7, 'cost': 476}, {'facility': 'F7', 'customer': 8, 'cost': 868}, {'facility': 'F7', 'customer': 9, 'cost': 987}, {'facility': 'F7', 'customer': 10, 'cost': 329}, {'facility': 'F7', 'customer': 11, 'cost': 165}, {'facility': 'F7', 'customer': 12, 'cost': 42}, {'facility': 'F7', 'customer': 13, 'cost': 621}, {'facility': 'F7', 'customer': 14, 'cost': 183}, {'facility': 'F7', 'customer': 15, 'cost': 862}, {'facility': 'F7', 'customer': 16, 'cost': 13}, {'facility': 'F7', 'customer': 17, 'cost': 320}, {'facility': 'F7', 'customer': 18, 'cost': 175}, {'facility': 'F8', 'customer': 0, 'cost': 918}, {'facility': 'F8', 'customer': 1, 'cost': 377}, {'facility': 'F8', 'customer': 2, 'cost': 753}, {'facility': 'F8', 'customer': 3, 'cost': 964}, {'facility': 'F8', 'customer': 4, 'cost': 970}, {'facility': 'F8', 'customer': 5, 'cost': 908}, {'facility': 'F8', 'customer': 6, 'cost': 12}, {'facility': 'F8', 'customer': 7, 'cost': 278}, {'facility': 'F8', 'customer': 8, 'cost': 522}, {'facility': 'F8', 'customer': 9, 'cost': 684}, {'facility': 'F8', 'customer': 10, 'cost': 669}, {'facility': 'F8', 'customer': 11, 'cost': 670}, {'facility': 'F8', 'customer': 12, 'cost': 176}, {'facility': 'F8', 'customer': 13, 'cost': 385}, {'facility': 'F8', 'customer': 14, 'cost': 187}, {'facility': 'F8', 'customer': 15, 'cost': 946}, {'facility': 'F8', 'customer': 16, 'cost': 887}, {'facility': 'F8', 'customer': 17, 'cost': 307}, {'facility': 'F8', 'customer': 18, 'cost': 328}], 'objective': 8842.0}","{'selected': ['F3', 'F6'], 'assignments': ['F3', 'F6', 'F6', 'F3', 'F6', 'F3', 'F6', 'F6', 'F6', 'F3', 'F3', 'F3', 'F3', 'F3', 'F6', 'F3', 'F3', 'F6', 'F6']}",22,nl,0
UFLP,UFLP,"Many people rely on the bookmobile, and the outreach team must pick from a list of possible stops, each with its own price to operate. Patrons are scattered around, so once stops are chosen each patron needs to be assigned to exactly one of those running stops. The smart choice is the one that minimizes the total cost — the running costs for chosen stops plus the combined travel distance of everyone — calculated by simply adding those two parts together. No patron can be assigned to more than one stop or be left out, and assignments only count if the stop is actually running. The specifics are shown below.

There are 9 candidate stops, 20 patrons to assign, and the stop operating costs are 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000.
Stop F1 has an operating cost of 1000.
Stop F2 has an operating cost of 1000.
Stop F3 has an operating cost of 1000.
Stop F4 has an operating cost of 1000.
Stop F5 has an operating cost of 1000.
Stop F6 has an operating cost of 1000.
Stop F7 has an operating cost of 1000.
Stop F8 has an operating cost of 1000.
Stop F9 has an operating cost of 1000.
Patron 0 would incur a travel distance cost of 526 to use stop F1.
Patron 1 would incur a travel distance cost of 458 to use stop F1.
Patron 2 would incur a travel distance cost of 743 to use stop F1.
Patron 3 would incur a travel distance cost of 668 to use stop F1.
Patron 4 would incur a travel distance cost of 113 to use stop F1.
Patron 5 would incur a travel distance cost of 604 to use stop F1.
Patron 6 would incur a travel distance cost of 971 to use stop F1.
Patron 7 would incur a travel distance cost of 282 to use stop F1.
Patron 8 would incur a travel distance cost of 886 to use stop F1.
Patron 9 would incur a travel distance cost of 503 to use stop F1.
Patron 10 would incur a travel distance cost of 314 to use stop F1.
Patron 11 would incur a travel distance cost of 136 to use stop F1.
Patron 12 would incur a travel distance cost of 902 to use stop F1.
Patron 13 would incur a travel distance cost of 677 to use stop F1.
Patron 14 would incur a travel distance cost of 642 to use stop F1.
Patron 15 would incur a travel distance cost of 274 to use stop F1.
Patron 16 would incur a travel distance cost of 523 to use stop F1.
Patron 17 would incur a travel distance cost of 740 to use stop F1.
Patron 18 would incur a travel distance cost of 154 to use stop F1.
Patron 19 would incur a travel distance cost of 195 to use stop F1.
Patron 0 would incur a travel distance cost of 59 to use stop F2.
Patron 1 would incur a travel distance cost of 744 to use stop F2.
Patron 2 would incur a travel distance cost of 787 to use stop F2.
Patron 3 would incur a travel distance cost of 9 to use stop F2.
Patron 4 would incur a travel distance cost of 740 to use stop F2.
Patron 5 would incur a travel distance cost of 670 to use stop F2.
Patron 6 would incur a travel distance cost of 654 to use stop F2.
Patron 7 would incur a travel distance cost of 834 to use stop F2.
Patron 8 would incur a travel distance cost of 939 to use stop F2.
Patron 9 would incur a travel distance cost of 64 to use stop F2.
Patron 10 would incur a travel distance cost of 102 to use stop F2.
Patron 11 would incur a travel distance cost of 163 to use stop F2.
Patron 12 would incur a travel distance cost of 774 to use stop F2.
Patron 13 would incur a travel distance cost of 852 to use stop F2.
Patron 14 would incur a travel distance cost of 128 to use stop F2.
Patron 15 would incur a travel distance cost of 341 to use stop F2.
Patron 16 would incur a travel distance cost of 803 to use stop F2.
Patron 17 would incur a travel distance cost of 876 to use stop F2.
Patron 18 would incur a travel distance cost of 131 to use stop F2.
Patron 19 would incur a travel distance cost of 523 to use stop F2.
Patron 0 would incur a travel distance cost of 882 to use stop F3.
Patron 1 would incur a travel distance cost of 299 to use stop F3.
Patron 2 would incur a travel distance cost of 945 to use stop F3.
Patron 3 would incur a travel distance cost of 813 to use stop F3.
Patron 4 would incur a travel distance cost of 629 to use stop F3.
Patron 5 would incur a travel distance cost of 221 to use stop F3.
Patron 6 would incur a travel distance cost of 791 to use stop F3.
Patron 7 would incur a travel distance cost of 316 to use stop F3.
Patron 8 would incur a travel distance cost of 499 to use stop F3.
Patron 9 would incur a travel distance cost of 697 to use stop F3.
Patron 10 would incur a travel distance cost of 127 to use stop F3.
Patron 11 would incur a travel distance cost of 652 to use stop F3.
Patron 12 would incur a travel distance cost of 407 to use stop F3.
Patron 13 would incur a travel distance cost of 135 to use stop F3.
Patron 14 would incur a travel distance cost of 356 to use stop F3.
Patron 15 would incur a travel distance cost of 709 to use stop F3.
Patron 16 would incur a travel distance cost of 345 to use stop F3.
Patron 17 would incur a travel distance cost of 399 to use stop F3.
Patron 18 would incur a travel distance cost of 482 to use stop F3.
Patron 19 would incur a travel distance cost of 650 to use stop F3.
Patron 0 would incur a travel distance cost of 446 to use stop F4.
Patron 1 would incur a travel distance cost of 752 to use stop F4.
Patron 2 would incur a travel distance cost of 421 to use stop F4.
Patron 3 would incur a travel distance cost of 472 to use stop F4.
Patron 4 would incur a travel distance cost of 817 to use stop F4.
Patron 5 would incur a travel distance cost of 897 to use stop F4.
Patron 6 would incur a travel distance cost of 867 to use stop F4.
Patron 7 would incur a travel distance cost of 250 to use stop F4.
Patron 8 would incur a travel distance cost of 770 to use stop F4.
Patron 9 would incur a travel distance cost of 527 to use stop F4.
Patron 10 would incur a travel distance cost of 73 to use stop F4.
Patron 11 would incur a travel distance cost of 553 to use stop F4.
Patron 12 would incur a travel distance cost of 531 to use stop F4.
Patron 13 would incur a travel distance cost of 237 to use stop F4.
Patron 14 would incur a travel distance cost of 761 to use stop F4.
Patron 15 would incur a travel distance cost of 920 to use stop F4.
Patron 16 would incur a travel distance cost of 113 to use stop F4.
Patron 17 would incur a travel distance cost of 218 to use stop F4.
Patron 18 would incur a travel distance cost of 727 to use stop F4.
Patron 19 would incur a travel distance cost of 473 to use stop F4.
Patron 0 would incur a travel distance cost of 54 to use stop F5.
Patron 1 would incur a travel distance cost of 708 to use stop F5.
Patron 2 would incur a travel distance cost of 836 to use stop F5.
Patron 3 would incur a travel distance cost of 85 to use stop F5.
Patron 4 would incur a travel distance cost of 456 to use stop F5.
Patron 5 would incur a travel distance cost of 110 to use stop F5.
Patron 6 would incur a travel distance cost of 691 to use stop F5.
Patron 7 would incur a travel distance cost of 201 to use stop F5.
Patron 8 would incur a travel distance cost of 968 to use stop F5.
Patron 9 would incur a travel distance cost of 143 to use stop F5.
Patron 10 would incur a travel distance cost of 315 to use stop F5.
Patron 11 would incur a travel distance cost of 756 to use stop F5.
Patron 12 would incur a travel distance cost of 13 to use stop F5.
Patron 13 would incur a travel distance cost of 215 to use stop F5.
Patron 14 would incur a travel distance cost of 783 to use stop F5.
Patron 15 would incur a travel distance cost of 437 to use stop F5.
Patron 16 would incur a travel distance cost of 745 to use stop F5.
Patron 17 would incur a travel distance cost of 8 to use stop F5.
Patron 18 would incur a travel distance cost of 633 to use stop F5.
Patron 19 would incur a travel distance cost of 809 to use stop F5.
Patron 0 would incur a travel distance cost of 887 to use stop F6.
Patron 1 would incur a travel distance cost of 42 to use stop F6.
Patron 2 would incur a travel distance cost of 445 to use stop F6.
Patron 3 would incur a travel distance cost of 851 to use stop F6.
Patron 4 would incur a travel distance cost of 660 to use stop F6.
Patron 5 would incur a travel distance cost of 660 to use stop F6.
Patron 6 would incur a travel distance cost of 858 to use stop F6.
Patron 7 would incur a travel distance cost of 173 to use stop F6.
Patron 8 would incur a travel distance cost of 759 to use stop F6.
Patron 9 would incur a travel distance cost of 579 to use stop F6.
Patron 10 would incur a travel distance cost of 382 to use stop F6.
Patron 11 would incur a travel distance cost of 898 to use stop F6.
Patron 12 would incur a travel distance cost of 8 to use stop F6.
Patron 13 would incur a travel distance cost of 599 to use stop F6.
Patron 14 would incur a travel distance cost of 525 to use stop F6.
Patron 15 would incur a travel distance cost of 138 to use stop F6.
Patron 16 would incur a travel distance cost of 67 to use stop F6.
Patron 17 would incur a travel distance cost of 644 to use stop F6.
Patron 18 would incur a travel distance cost of 104 to use stop F6.
Patron 19 would incur a travel distance cost of 159 to use stop F6.
Patron 0 would incur a travel distance cost of 850 to use stop F7.
Patron 1 would incur a travel distance cost of 784 to use stop F7.
Patron 2 would incur a travel distance cost of 480 to use stop F7.
Patron 3 would incur a travel distance cost of 471 to use stop F7.
Patron 4 would incur a travel distance cost of 828 to use stop F7.
Patron 5 would incur a travel distance cost of 22 to use stop F7.
Patron 6 would incur a travel distance cost of 679 to use stop F7.
Patron 7 would incur a travel distance cost of 96 to use stop F7.
Patron 8 would incur a travel distance cost of 685 to use stop F7.
Patron 9 would incur a travel distance cost of 214 to use stop F7.
Patron 10 would incur a travel distance cost of 78 to use stop F7.
Patron 11 would incur a travel distance cost of 46 to use stop F7.
Patron 12 would incur a travel distance cost of 863 to use stop F7.
Patron 13 would incur a travel distance cost of 273 to use stop F7.
Patron 14 would incur a travel distance cost of 854 to use stop F7.
Patron 15 would incur a travel distance cost of 332 to use stop F7.
Patron 16 would incur a travel distance cost of 844 to use stop F7.
Patron 17 would incur a travel distance cost of 672 to use stop F7.
Patron 18 would incur a travel distance cost of 647 to use stop F7.
Patron 19 would incur a travel distance cost of 779 to use stop F7.
Patron 0 would incur a travel distance cost of 673 to use stop F8.
Patron 1 would incur a travel distance cost of 210 to use stop F8.
Patron 2 would incur a travel distance cost of 268 to use stop F8.
Patron 3 would incur a travel distance cost of 209 to use stop F8.
Patron 4 would incur a travel distance cost of 132 to use stop F8.
Patron 5 would incur a travel distance cost of 948 to use stop F8.
Patron 6 would incur a travel distance cost of 361 to use stop F8.
Patron 7 would incur a travel distance cost of 665 to use stop F8.
Patron 8 would incur a travel distance cost of 125 to use stop F8.
Patron 9 would incur a travel distance cost of 193 to use stop F8.
Patron 10 would incur a travel distance cost of 285 to use stop F8.
Patron 11 would incur a travel distance cost of 348 to use stop F8.
Patron 12 would incur a travel distance cost of 538 to use stop F8.
Patron 13 would incur a travel distance cost of 429 to use stop F8.
Patron 14 would incur a travel distance cost of 304 to use stop F8.
Patron 15 would incur a travel distance cost of 825 to use stop F8.
Patron 16 would incur a travel distance cost of 197 to use stop F8.
Patron 17 would incur a travel distance cost of 209 to use stop F8.
Patron 18 would incur a travel distance cost of 867 to use stop F8.
Patron 19 would incur a travel distance cost of 574 to use stop F8.
Patron 0 would incur a travel distance cost of 883 to use stop F9.
Patron 1 would incur a travel distance cost of 572 to use stop F9.
Patron 2 would incur a travel distance cost of 689 to use stop F9.
Patron 3 would incur a travel distance cost of 512 to use stop F9.
Patron 4 would incur a travel distance cost of 873 to use stop F9.
Patron 5 would incur a travel distance cost of 708 to use stop F9.
Patron 6 would incur a travel distance cost of 832 to use stop F9.
Patron 7 would incur a travel distance cost of 553 to use stop F9.
Patron 8 would incur a travel distance cost of 922 to use stop F9.
Patron 9 would incur a travel distance cost of 535 to use stop F9.
Patron 10 would incur a travel distance cost of 991 to use stop F9.
Patron 11 would incur a travel distance cost of 810 to use stop F9.
Patron 12 would incur a travel distance cost of 531 to use stop F9.
Patron 13 would incur a travel distance cost of 351 to use stop F9.
Patron 14 would incur a travel distance cost of 522 to use stop F9.
Patron 15 would incur a travel distance cost of 653 to use stop F9.
Patron 16 would incur a travel distance cost of 570 to use stop F9.
Patron 17 would incur a travel distance cost of 282 to use stop F9.
Patron 18 would incur a travel distance cost of 459 to use stop F9.
Patron 19 would incur a travel distance cost of 550 to use stop F9.
These entries specify the candidate stops and patron travel costs so the outreach team can choose stops and assign patrons to minimize total operating plus travel cost.

When you reply, just stick to this simple JSON layout so it's easy to parse and check.

{
  ""solution"": {
    ""selected"": [<stop_to_open>, <stop_to_open>, ...],
    ""assignments"": [<assigned_stop>, <assigned_stop>, ...]
  }
}

""selected"" is where you list the stops you decide to run (the ones you pay to operate). ""assignments"" is a list, in the same order as the patrons in the instance, saying which running stop each patron will use. Think of it like filling out a form: pick the stops, then say for each patron which stop they're going to.

This JSON is just a sketch of the shape I need — not the final answer itself.

Please be careful: use the exact identifiers from the instance input, do not rename them or invent new labels. Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'opening_costs': [1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000], 'connection_costs': [[526, 458, 743, 668, 113, 604, 971, 282, 886, 503, 314, 136, 902, 677, 642, 274, 523, 740, 154, 195], [59, 744, 787, 9, 740, 670, 654, 834, 939, 64, 102, 163, 774, 852, 128, 341, 803, 876, 131, 523], [882, 299, 945, 813, 629, 221, 791, 316, 499, 697, 127, 652, 407, 135, 356, 709, 345, 399, 482, 650], [446, 752, 421, 472, 817, 897, 867, 250, 770, 527, 73, 553, 531, 237, 761, 920, 113, 218, 727, 473], [54, 708, 836, 85, 456, 110, 691, 201, 968, 143, 315, 756, 13, 215, 783, 437, 745, 8, 633, 809], [887, 42, 445, 851, 660, 660, 858, 173, 759, 579, 382, 898, 8, 599, 525, 138, 67, 644, 104, 159], [850, 784, 480, 471, 828, 22, 679, 96, 685, 214, 78, 46, 863, 273, 854, 332, 844, 672, 647, 779], [673, 210, 268, 209, 132, 948, 361, 665, 125, 193, 285, 348, 538, 429, 304, 825, 197, 209, 867, 574], [883, 572, 689, 512, 873, 708, 832, 553, 922, 535, 991, 810, 531, 351, 522, 653, 570, 282, 459, 550]], 'objective': 6129.0}","{'open_facilities': [4, 5, 7], 'assignments': [4, 5, 7, 4, 7, 4, 7, 5, 7, 4, 7, 7, 5, 4, 7, 5, 5, 4, 5, 5]}",6129.0,"{'problem_type': 'UFLP', 'num_facilities': 9, 'num_customers': 20, 'facilities': [{'id': 'F1', 'opening_cost': 1000}, {'id': 'F2', 'opening_cost': 1000}, {'id': 'F3', 'opening_cost': 1000}, {'id': 'F4', 'opening_cost': 1000}, {'id': 'F5', 'opening_cost': 1000}, {'id': 'F6', 'opening_cost': 1000}, {'id': 'F7', 'opening_cost': 1000}, {'id': 'F8', 'opening_cost': 1000}, {'id': 'F9', 'opening_cost': 1000}], 'customers': [{'id': 0}, {'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}, {'id': 16}, {'id': 17}, {'id': 18}, {'id': 19}], 'connection_costs': [{'facility': 'F1', 'customer': 0, 'cost': 526}, {'facility': 'F1', 'customer': 1, 'cost': 458}, {'facility': 'F1', 'customer': 2, 'cost': 743}, {'facility': 'F1', 'customer': 3, 'cost': 668}, {'facility': 'F1', 'customer': 4, 'cost': 113}, {'facility': 'F1', 'customer': 5, 'cost': 604}, {'facility': 'F1', 'customer': 6, 'cost': 971}, {'facility': 'F1', 'customer': 7, 'cost': 282}, {'facility': 'F1', 'customer': 8, 'cost': 886}, {'facility': 'F1', 'customer': 9, 'cost': 503}, {'facility': 'F1', 'customer': 10, 'cost': 314}, {'facility': 'F1', 'customer': 11, 'cost': 136}, {'facility': 'F1', 'customer': 12, 'cost': 902}, {'facility': 'F1', 'customer': 13, 'cost': 677}, {'facility': 'F1', 'customer': 14, 'cost': 642}, {'facility': 'F1', 'customer': 15, 'cost': 274}, {'facility': 'F1', 'customer': 16, 'cost': 523}, {'facility': 'F1', 'customer': 17, 'cost': 740}, {'facility': 'F1', 'customer': 18, 'cost': 154}, {'facility': 'F1', 'customer': 19, 'cost': 195}, {'facility': 'F2', 'customer': 0, 'cost': 59}, {'facility': 'F2', 'customer': 1, 'cost': 744}, {'facility': 'F2', 'customer': 2, 'cost': 787}, {'facility': 'F2', 'customer': 3, 'cost': 9}, {'facility': 'F2', 'customer': 4, 'cost': 740}, {'facility': 'F2', 'customer': 5, 'cost': 670}, {'facility': 'F2', 'customer': 6, 'cost': 654}, {'facility': 'F2', 'customer': 7, 'cost': 834}, {'facility': 'F2', 'customer': 8, 'cost': 939}, {'facility': 'F2', 'customer': 9, 'cost': 64}, {'facility': 'F2', 'customer': 10, 'cost': 102}, {'facility': 'F2', 'customer': 11, 'cost': 163}, {'facility': 'F2', 'customer': 12, 'cost': 774}, {'facility': 'F2', 'customer': 13, 'cost': 852}, {'facility': 'F2', 'customer': 14, 'cost': 128}, {'facility': 'F2', 'customer': 15, 'cost': 341}, {'facility': 'F2', 'customer': 16, 'cost': 803}, {'facility': 'F2', 'customer': 17, 'cost': 876}, {'facility': 'F2', 'customer': 18, 'cost': 131}, {'facility': 'F2', 'customer': 19, 'cost': 523}, {'facility': 'F3', 'customer': 0, 'cost': 882}, {'facility': 'F3', 'customer': 1, 'cost': 299}, {'facility': 'F3', 'customer': 2, 'cost': 945}, {'facility': 'F3', 'customer': 3, 'cost': 813}, {'facility': 'F3', 'customer': 4, 'cost': 629}, {'facility': 'F3', 'customer': 5, 'cost': 221}, {'facility': 'F3', 'customer': 6, 'cost': 791}, {'facility': 'F3', 'customer': 7, 'cost': 316}, {'facility': 'F3', 'customer': 8, 'cost': 499}, {'facility': 'F3', 'customer': 9, 'cost': 697}, {'facility': 'F3', 'customer': 10, 'cost': 127}, {'facility': 'F3', 'customer': 11, 'cost': 652}, {'facility': 'F3', 'customer': 12, 'cost': 407}, {'facility': 'F3', 'customer': 13, 'cost': 135}, {'facility': 'F3', 'customer': 14, 'cost': 356}, {'facility': 'F3', 'customer': 15, 'cost': 709}, {'facility': 'F3', 'customer': 16, 'cost': 345}, {'facility': 'F3', 'customer': 17, 'cost': 399}, {'facility': 'F3', 'customer': 18, 'cost': 482}, {'facility': 'F3', 'customer': 19, 'cost': 650}, {'facility': 'F4', 'customer': 0, 'cost': 446}, {'facility': 'F4', 'customer': 1, 'cost': 752}, {'facility': 'F4', 'customer': 2, 'cost': 421}, {'facility': 'F4', 'customer': 3, 'cost': 472}, {'facility': 'F4', 'customer': 4, 'cost': 817}, {'facility': 'F4', 'customer': 5, 'cost': 897}, {'facility': 'F4', 'customer': 6, 'cost': 867}, {'facility': 'F4', 'customer': 7, 'cost': 250}, {'facility': 'F4', 'customer': 8, 'cost': 770}, {'facility': 'F4', 'customer': 9, 'cost': 527}, {'facility': 'F4', 'customer': 10, 'cost': 73}, {'facility': 'F4', 'customer': 11, 'cost': 553}, {'facility': 'F4', 'customer': 12, 'cost': 531}, {'facility': 'F4', 'customer': 13, 'cost': 237}, {'facility': 'F4', 'customer': 14, 'cost': 761}, {'facility': 'F4', 'customer': 15, 'cost': 920}, {'facility': 'F4', 'customer': 16, 'cost': 113}, {'facility': 'F4', 'customer': 17, 'cost': 218}, {'facility': 'F4', 'customer': 18, 'cost': 727}, {'facility': 'F4', 'customer': 19, 'cost': 473}, {'facility': 'F5', 'customer': 0, 'cost': 54}, {'facility': 'F5', 'customer': 1, 'cost': 708}, {'facility': 'F5', 'customer': 2, 'cost': 836}, {'facility': 'F5', 'customer': 3, 'cost': 85}, {'facility': 'F5', 'customer': 4, 'cost': 456}, {'facility': 'F5', 'customer': 5, 'cost': 110}, {'facility': 'F5', 'customer': 6, 'cost': 691}, {'facility': 'F5', 'customer': 7, 'cost': 201}, {'facility': 'F5', 'customer': 8, 'cost': 968}, {'facility': 'F5', 'customer': 9, 'cost': 143}, {'facility': 'F5', 'customer': 10, 'cost': 315}, {'facility': 'F5', 'customer': 11, 'cost': 756}, {'facility': 'F5', 'customer': 12, 'cost': 13}, {'facility': 'F5', 'customer': 13, 'cost': 215}, {'facility': 'F5', 'customer': 14, 'cost': 783}, {'facility': 'F5', 'customer': 15, 'cost': 437}, {'facility': 'F5', 'customer': 16, 'cost': 745}, {'facility': 'F5', 'customer': 17, 'cost': 8}, {'facility': 'F5', 'customer': 18, 'cost': 633}, {'facility': 'F5', 'customer': 19, 'cost': 809}, {'facility': 'F6', 'customer': 0, 'cost': 887}, {'facility': 'F6', 'customer': 1, 'cost': 42}, {'facility': 'F6', 'customer': 2, 'cost': 445}, {'facility': 'F6', 'customer': 3, 'cost': 851}, {'facility': 'F6', 'customer': 4, 'cost': 660}, {'facility': 'F6', 'customer': 5, 'cost': 660}, {'facility': 'F6', 'customer': 6, 'cost': 858}, {'facility': 'F6', 'customer': 7, 'cost': 173}, {'facility': 'F6', 'customer': 8, 'cost': 759}, {'facility': 'F6', 'customer': 9, 'cost': 579}, {'facility': 'F6', 'customer': 10, 'cost': 382}, {'facility': 'F6', 'customer': 11, 'cost': 898}, {'facility': 'F6', 'customer': 12, 'cost': 8}, {'facility': 'F6', 'customer': 13, 'cost': 599}, {'facility': 'F6', 'customer': 14, 'cost': 525}, {'facility': 'F6', 'customer': 15, 'cost': 138}, {'facility': 'F6', 'customer': 16, 'cost': 67}, {'facility': 'F6', 'customer': 17, 'cost': 644}, {'facility': 'F6', 'customer': 18, 'cost': 104}, {'facility': 'F6', 'customer': 19, 'cost': 159}, {'facility': 'F7', 'customer': 0, 'cost': 850}, {'facility': 'F7', 'customer': 1, 'cost': 784}, {'facility': 'F7', 'customer': 2, 'cost': 480}, {'facility': 'F7', 'customer': 3, 'cost': 471}, {'facility': 'F7', 'customer': 4, 'cost': 828}, {'facility': 'F7', 'customer': 5, 'cost': 22}, {'facility': 'F7', 'customer': 6, 'cost': 679}, {'facility': 'F7', 'customer': 7, 'cost': 96}, {'facility': 'F7', 'customer': 8, 'cost': 685}, {'facility': 'F7', 'customer': 9, 'cost': 214}, {'facility': 'F7', 'customer': 10, 'cost': 78}, {'facility': 'F7', 'customer': 11, 'cost': 46}, {'facility': 'F7', 'customer': 12, 'cost': 863}, {'facility': 'F7', 'customer': 13, 'cost': 273}, {'facility': 'F7', 'customer': 14, 'cost': 854}, {'facility': 'F7', 'customer': 15, 'cost': 332}, {'facility': 'F7', 'customer': 16, 'cost': 844}, {'facility': 'F7', 'customer': 17, 'cost': 672}, {'facility': 'F7', 'customer': 18, 'cost': 647}, {'facility': 'F7', 'customer': 19, 'cost': 779}, {'facility': 'F8', 'customer': 0, 'cost': 673}, {'facility': 'F8', 'customer': 1, 'cost': 210}, {'facility': 'F8', 'customer': 2, 'cost': 268}, {'facility': 'F8', 'customer': 3, 'cost': 209}, {'facility': 'F8', 'customer': 4, 'cost': 132}, {'facility': 'F8', 'customer': 5, 'cost': 948}, {'facility': 'F8', 'customer': 6, 'cost': 361}, {'facility': 'F8', 'customer': 7, 'cost': 665}, {'facility': 'F8', 'customer': 8, 'cost': 125}, {'facility': 'F8', 'customer': 9, 'cost': 193}, {'facility': 'F8', 'customer': 10, 'cost': 285}, {'facility': 'F8', 'customer': 11, 'cost': 348}, {'facility': 'F8', 'customer': 12, 'cost': 538}, {'facility': 'F8', 'customer': 13, 'cost': 429}, {'facility': 'F8', 'customer': 14, 'cost': 304}, {'facility': 'F8', 'customer': 15, 'cost': 825}, {'facility': 'F8', 'customer': 16, 'cost': 197}, {'facility': 'F8', 'customer': 17, 'cost': 209}, {'facility': 'F8', 'customer': 18, 'cost': 867}, {'facility': 'F8', 'customer': 19, 'cost': 574}, {'facility': 'F9', 'customer': 0, 'cost': 883}, {'facility': 'F9', 'customer': 1, 'cost': 572}, {'facility': 'F9', 'customer': 2, 'cost': 689}, {'facility': 'F9', 'customer': 3, 'cost': 512}, {'facility': 'F9', 'customer': 4, 'cost': 873}, {'facility': 'F9', 'customer': 5, 'cost': 708}, {'facility': 'F9', 'customer': 6, 'cost': 832}, {'facility': 'F9', 'customer': 7, 'cost': 553}, {'facility': 'F9', 'customer': 8, 'cost': 922}, {'facility': 'F9', 'customer': 9, 'cost': 535}, {'facility': 'F9', 'customer': 10, 'cost': 991}, {'facility': 'F9', 'customer': 11, 'cost': 810}, {'facility': 'F9', 'customer': 12, 'cost': 531}, {'facility': 'F9', 'customer': 13, 'cost': 351}, {'facility': 'F9', 'customer': 14, 'cost': 522}, {'facility': 'F9', 'customer': 15, 'cost': 653}, {'facility': 'F9', 'customer': 16, 'cost': 570}, {'facility': 'F9', 'customer': 17, 'cost': 282}, {'facility': 'F9', 'customer': 18, 'cost': 459}, {'facility': 'F9', 'customer': 19, 'cost': 550}], 'objective': 6129.0}","{'selected': ['F5', 'F6', 'F8'], 'assignments': ['F5', 'F6', 'F8', 'F5', 'F8', 'F5', 'F8', 'F6', 'F8', 'F5', 'F8', 'F8', 'F6', 'F5', 'F8', 'F6', 'F6', 'F5', 'F6', 'F6']}",23,nl,0
UFLP,UFLP,"Many people don’t realize how much goes into choosing which distribution points to run for a farmers market network and how to route vendors there. Each candidate point has a cost to bring online, and each vendor has a cost to haul goods to whichever point they use. The goal is to keep the overall expense as small as possible — the total is simply the combined cost of the points we decide to run plus all vendors’ hauling costs — and every vendor must be sent to exactly one running point, with no duplicates or omissions. The concrete numbers appear below.

There are 8 distribution points and 20 vendors in this instance.

**Distribution Points**
| distribution_point_id | setup_cost |
|---|---|
| F1 | 1000 |
| F2 | 1000 |
| F3 | 1000 |
| F4 | 1000 |
| F5 | 1000 |
| F6 | 1000 |
| F7 | 1000 |
| F8 | 1000 |

**Vendors**
| vendor_id |
|---|
| A |
| B |
| C |
| D |
| E |
| F |
| G |
| H |
| I |
| J |
| K |
| L |
| M |
| N |
| O |
| P |
| Q |
| R |
| S |
| T |

**Hauling Cost**
| distribution_point_id | vendor_id | hauling_cost |
|---|---|---|
| F1 | A | 172 |
| F1 | B | 948 |
| F1 | C | 877 |
| F1 | D | 314 |
| F1 | E | 386 |
| F1 | F | 276 |
| F1 | G | 124 |
| F1 | H | 739 |
| F1 | I | 28 |
| F1 | J | 595 |
| F1 | K | 191 |
| F1 | L | 123 |
| F1 | M | 306 |
| F1 | N | 657 |
| F1 | O | 293 |
| F1 | P | 44 |
| F1 | Q | 177 |
| F1 | R | 403 |
| F1 | S | 856 |
| F1 | T | 472 |
| F2 | A | 862 |
| F2 | B | 115 |
| F2 | C | 654 |
| F2 | D | 944 |
| F2 | E | 320 |
| F2 | F | 209 |
| F2 | G | 929 |
| F2 | H | 393 |
| F2 | I | 360 |
| F2 | J | 361 |
| F2 | K | 961 |
| F2 | L | 6 |
| F2 | M | 324 |
| F2 | N | 895 |
| F2 | O | 724 |
| F2 | P | 100 |
| F2 | Q | 799 |
| F2 | R | 676 |
| F2 | S | 949 |
| F2 | T | 485 |
| F3 | A | 224 |
| F3 | B | 169 |
| F3 | C | 600 |
| F3 | D | 50 |
| F3 | E | 567 |
| F3 | F | 260 |
| F3 | G | 932 |
| F3 | H | 635 |
| F3 | I | 940 |
| F3 | J | 688 |
| F3 | K | 826 |
| F3 | L | 816 |
| F3 | M | 747 |
| F3 | N | 550 |
| F3 | O | 971 |
| F3 | P | 229 |
| F3 | Q | 952 |
| F3 | R | 612 |
| F3 | S | 826 |
| F3 | T | 163 |
| F4 | A | 735 |
| F4 | B | 937 |
| F4 | C | 239 |
| F4 | D | 584 |
| F4 | E | 117 |
| F4 | F | 231 |
| F4 | G | 665 |
| F4 | H | 855 |
| F4 | I | 579 |
| F4 | J | 604 |
| F4 | K | 926 |
| F4 | L | 675 |
| F4 | M | 670 |
| F4 | N | 576 |
| F4 | O | 139 |
| F4 | P | 448 |
| F4 | Q | 553 |
| F4 | R | 780 |
| F4 | S | 190 |
| F4 | T | 622 |
| F5 | A | 7 |
| F5 | B | 96 |
| F5 | C | 86 |
| F5 | D | 315 |
| F5 | E | 788 |
| F5 | F | 102 |
| F5 | G | 446 |
| F5 | H | 648 |
| F5 | I | 56 |
| F5 | J | 803 |
| F5 | K | 990 |
| F5 | L | 329 |
| F5 | M | 79 |
| F5 | N | 695 |
| F5 | O | 40 |
| F5 | P | 287 |
| F5 | Q | 655 |
| F5 | R | 649 |
| F5 | S | 23 |
| F5 | T | 14 |
| F6 | A | 263 |
| F6 | B | 538 |
| F6 | C | 416 |
| F6 | D | 770 |
| F6 | E | 870 |
| F6 | F | 436 |
| F6 | G | 804 |
| F6 | H | 632 |
| F6 | I | 723 |
| F6 | J | 915 |
| F6 | K | 171 |
| F6 | L | 181 |
| F6 | M | 484 |
| F6 | N | 660 |
| F6 | O | 94 |
| F6 | P | 382 |
| F6 | Q | 475 |
| F6 | R | 648 |
| F6 | S | 373 |
| F6 | T | 487 |
| F7 | A | 60 |
| F7 | B | 866 |
| F7 | C | 21 |
| F7 | D | 641 |
| F7 | E | 738 |
| F7 | F | 233 |
| F7 | G | 562 |
| F7 | H | 704 |
| F7 | I | 755 |
| F7 | J | 487 |
| F7 | K | 303 |
| F7 | L | 439 |
| F7 | M | 193 |
| F7 | N | 472 |
| F7 | O | 763 |
| F7 | P | 511 |
| F7 | Q | 865 |
| F7 | R | 586 |
| F7 | S | 406 |
| F7 | T | 755 |
| F8 | A | 238 |
| F8 | B | 955 |
| F8 | C | 21 |
| F8 | D | 406 |
| F8 | E | 210 |
| F8 | F | 385 |
| F8 | G | 19 |
| F8 | H | 484 |
| F8 | I | 262 |
| F8 | J | 724 |
| F8 | K | 521 |
| F8 | L | 74 |
| F8 | M | 998 |
| F8 | N | 748 |
| F8 | O | 56 |
| F8 | P | 527 |
| F8 | Q | 886 |
| F8 | R | 708 |
| F8 | S | 813 |
| F8 | T | 862 |

Also, I’ll keep my reply in a simple JSON layout so it’s easy to fill in — here’s the shape I expect you to follow:

{
  ""solution"": {
    ""selected"": [<site_to_open>, <site_to_open>, ...],
    ""assignments"": [<chosen_open_site>, <chosen_open_site>, ...]
  }
}

""selected"" is the list of market points you decide to run (put the exact identifiers from the instance there). ""assignments"" is a list, one entry per vendor in the same order as the instance, showing which open point that vendor goes to. It’s just a quick form-like sketch of the expected shape, not the real answer.

Please use the exact identifiers from the instance input — don’t rename them or invent new labels. 
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'opening_costs': [1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000], 'connection_costs': [[172, 948, 877, 314, 386, 276, 124, 739, 28, 595, 191, 123, 306, 657, 293, 44, 177, 403, 856, 472], [862, 115, 654, 944, 320, 209, 929, 393, 360, 361, 961, 6, 324, 895, 724, 100, 799, 676, 949, 485], [224, 169, 600, 50, 567, 260, 932, 635, 940, 688, 826, 816, 747, 550, 971, 229, 952, 612, 826, 163], [735, 937, 239, 584, 117, 231, 665, 855, 579, 604, 926, 675, 670, 576, 139, 448, 553, 780, 190, 622], [7, 96, 86, 315, 788, 102, 446, 648, 56, 803, 990, 329, 79, 695, 40, 287, 655, 649, 23, 14], [263, 538, 416, 770, 870, 436, 804, 632, 723, 915, 171, 181, 484, 660, 94, 382, 475, 648, 373, 487], [60, 866, 21, 641, 738, 233, 562, 704, 755, 487, 303, 439, 193, 472, 763, 511, 865, 586, 406, 755], [238, 955, 21, 406, 210, 385, 19, 484, 262, 724, 521, 74, 998, 748, 56, 527, 886, 708, 813, 862]], 'objective': 6137.0}","{'open_facilities': [0, 4], 'assignments': [4, 4, 4, 0, 0, 4, 0, 4, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 4, 4]}",6137.0,"{'problem_type': 'UFLP', 'num_facilities': 8, 'num_customers': 20, 'facilities': [{'id': 'F1', 'opening_cost': 1000}, {'id': 'F2', 'opening_cost': 1000}, {'id': 'F3', 'opening_cost': 1000}, {'id': 'F4', 'opening_cost': 1000}, {'id': 'F5', 'opening_cost': 1000}, {'id': 'F6', 'opening_cost': 1000}, {'id': 'F7', 'opening_cost': 1000}, {'id': 'F8', 'opening_cost': 1000}], 'customers': [{'id': 'A'}, {'id': 'B'}, {'id': 'C'}, {'id': 'D'}, {'id': 'E'}, {'id': 'F'}, {'id': 'G'}, {'id': 'H'}, {'id': 'I'}, {'id': 'J'}, {'id': 'K'}, {'id': 'L'}, {'id': 'M'}, {'id': 'N'}, {'id': 'O'}, {'id': 'P'}, {'id': 'Q'}, {'id': 'R'}, {'id': 'S'}, {'id': 'T'}], 'connection_costs': [{'facility': 'F1', 'customer': 'A', 'cost': 172}, {'facility': 'F1', 'customer': 'B', 'cost': 948}, {'facility': 'F1', 'customer': 'C', 'cost': 877}, {'facility': 'F1', 'customer': 'D', 'cost': 314}, {'facility': 'F1', 'customer': 'E', 'cost': 386}, {'facility': 'F1', 'customer': 'F', 'cost': 276}, {'facility': 'F1', 'customer': 'G', 'cost': 124}, {'facility': 'F1', 'customer': 'H', 'cost': 739}, {'facility': 'F1', 'customer': 'I', 'cost': 28}, {'facility': 'F1', 'customer': 'J', 'cost': 595}, {'facility': 'F1', 'customer': 'K', 'cost': 191}, {'facility': 'F1', 'customer': 'L', 'cost': 123}, {'facility': 'F1', 'customer': 'M', 'cost': 306}, {'facility': 'F1', 'customer': 'N', 'cost': 657}, {'facility': 'F1', 'customer': 'O', 'cost': 293}, {'facility': 'F1', 'customer': 'P', 'cost': 44}, {'facility': 'F1', 'customer': 'Q', 'cost': 177}, {'facility': 'F1', 'customer': 'R', 'cost': 403}, {'facility': 'F1', 'customer': 'S', 'cost': 856}, {'facility': 'F1', 'customer': 'T', 'cost': 472}, {'facility': 'F2', 'customer': 'A', 'cost': 862}, {'facility': 'F2', 'customer': 'B', 'cost': 115}, {'facility': 'F2', 'customer': 'C', 'cost': 654}, {'facility': 'F2', 'customer': 'D', 'cost': 944}, {'facility': 'F2', 'customer': 'E', 'cost': 320}, {'facility': 'F2', 'customer': 'F', 'cost': 209}, {'facility': 'F2', 'customer': 'G', 'cost': 929}, {'facility': 'F2', 'customer': 'H', 'cost': 393}, {'facility': 'F2', 'customer': 'I', 'cost': 360}, {'facility': 'F2', 'customer': 'J', 'cost': 361}, {'facility': 'F2', 'customer': 'K', 'cost': 961}, {'facility': 'F2', 'customer': 'L', 'cost': 6}, {'facility': 'F2', 'customer': 'M', 'cost': 324}, {'facility': 'F2', 'customer': 'N', 'cost': 895}, {'facility': 'F2', 'customer': 'O', 'cost': 724}, {'facility': 'F2', 'customer': 'P', 'cost': 100}, {'facility': 'F2', 'customer': 'Q', 'cost': 799}, {'facility': 'F2', 'customer': 'R', 'cost': 676}, {'facility': 'F2', 'customer': 'S', 'cost': 949}, {'facility': 'F2', 'customer': 'T', 'cost': 485}, {'facility': 'F3', 'customer': 'A', 'cost': 224}, {'facility': 'F3', 'customer': 'B', 'cost': 169}, {'facility': 'F3', 'customer': 'C', 'cost': 600}, {'facility': 'F3', 'customer': 'D', 'cost': 50}, {'facility': 'F3', 'customer': 'E', 'cost': 567}, {'facility': 'F3', 'customer': 'F', 'cost': 260}, {'facility': 'F3', 'customer': 'G', 'cost': 932}, {'facility': 'F3', 'customer': 'H', 'cost': 635}, {'facility': 'F3', 'customer': 'I', 'cost': 940}, {'facility': 'F3', 'customer': 'J', 'cost': 688}, {'facility': 'F3', 'customer': 'K', 'cost': 826}, {'facility': 'F3', 'customer': 'L', 'cost': 816}, {'facility': 'F3', 'customer': 'M', 'cost': 747}, {'facility': 'F3', 'customer': 'N', 'cost': 550}, {'facility': 'F3', 'customer': 'O', 'cost': 971}, {'facility': 'F3', 'customer': 'P', 'cost': 229}, {'facility': 'F3', 'customer': 'Q', 'cost': 952}, {'facility': 'F3', 'customer': 'R', 'cost': 612}, {'facility': 'F3', 'customer': 'S', 'cost': 826}, {'facility': 'F3', 'customer': 'T', 'cost': 163}, {'facility': 'F4', 'customer': 'A', 'cost': 735}, {'facility': 'F4', 'customer': 'B', 'cost': 937}, {'facility': 'F4', 'customer': 'C', 'cost': 239}, {'facility': 'F4', 'customer': 'D', 'cost': 584}, {'facility': 'F4', 'customer': 'E', 'cost': 117}, {'facility': 'F4', 'customer': 'F', 'cost': 231}, {'facility': 'F4', 'customer': 'G', 'cost': 665}, {'facility': 'F4', 'customer': 'H', 'cost': 855}, {'facility': 'F4', 'customer': 'I', 'cost': 579}, {'facility': 'F4', 'customer': 'J', 'cost': 604}, {'facility': 'F4', 'customer': 'K', 'cost': 926}, {'facility': 'F4', 'customer': 'L', 'cost': 675}, {'facility': 'F4', 'customer': 'M', 'cost': 670}, {'facility': 'F4', 'customer': 'N', 'cost': 576}, {'facility': 'F4', 'customer': 'O', 'cost': 139}, {'facility': 'F4', 'customer': 'P', 'cost': 448}, {'facility': 'F4', 'customer': 'Q', 'cost': 553}, {'facility': 'F4', 'customer': 'R', 'cost': 780}, {'facility': 'F4', 'customer': 'S', 'cost': 190}, {'facility': 'F4', 'customer': 'T', 'cost': 622}, {'facility': 'F5', 'customer': 'A', 'cost': 7}, {'facility': 'F5', 'customer': 'B', 'cost': 96}, {'facility': 'F5', 'customer': 'C', 'cost': 86}, {'facility': 'F5', 'customer': 'D', 'cost': 315}, {'facility': 'F5', 'customer': 'E', 'cost': 788}, {'facility': 'F5', 'customer': 'F', 'cost': 102}, {'facility': 'F5', 'customer': 'G', 'cost': 446}, {'facility': 'F5', 'customer': 'H', 'cost': 648}, {'facility': 'F5', 'customer': 'I', 'cost': 56}, {'facility': 'F5', 'customer': 'J', 'cost': 803}, {'facility': 'F5', 'customer': 'K', 'cost': 990}, {'facility': 'F5', 'customer': 'L', 'cost': 329}, {'facility': 'F5', 'customer': 'M', 'cost': 79}, {'facility': 'F5', 'customer': 'N', 'cost': 695}, {'facility': 'F5', 'customer': 'O', 'cost': 40}, {'facility': 'F5', 'customer': 'P', 'cost': 287}, {'facility': 'F5', 'customer': 'Q', 'cost': 655}, {'facility': 'F5', 'customer': 'R', 'cost': 649}, {'facility': 'F5', 'customer': 'S', 'cost': 23}, {'facility': 'F5', 'customer': 'T', 'cost': 14}, {'facility': 'F6', 'customer': 'A', 'cost': 263}, {'facility': 'F6', 'customer': 'B', 'cost': 538}, {'facility': 'F6', 'customer': 'C', 'cost': 416}, {'facility': 'F6', 'customer': 'D', 'cost': 770}, {'facility': 'F6', 'customer': 'E', 'cost': 870}, {'facility': 'F6', 'customer': 'F', 'cost': 436}, {'facility': 'F6', 'customer': 'G', 'cost': 804}, {'facility': 'F6', 'customer': 'H', 'cost': 632}, {'facility': 'F6', 'customer': 'I', 'cost': 723}, {'facility': 'F6', 'customer': 'J', 'cost': 915}, {'facility': 'F6', 'customer': 'K', 'cost': 171}, {'facility': 'F6', 'customer': 'L', 'cost': 181}, {'facility': 'F6', 'customer': 'M', 'cost': 484}, {'facility': 'F6', 'customer': 'N', 'cost': 660}, {'facility': 'F6', 'customer': 'O', 'cost': 94}, {'facility': 'F6', 'customer': 'P', 'cost': 382}, {'facility': 'F6', 'customer': 'Q', 'cost': 475}, {'facility': 'F6', 'customer': 'R', 'cost': 648}, {'facility': 'F6', 'customer': 'S', 'cost': 373}, {'facility': 'F6', 'customer': 'T', 'cost': 487}, {'facility': 'F7', 'customer': 'A', 'cost': 60}, {'facility': 'F7', 'customer': 'B', 'cost': 866}, {'facility': 'F7', 'customer': 'C', 'cost': 21}, {'facility': 'F7', 'customer': 'D', 'cost': 641}, {'facility': 'F7', 'customer': 'E', 'cost': 738}, {'facility': 'F7', 'customer': 'F', 'cost': 233}, {'facility': 'F7', 'customer': 'G', 'cost': 562}, {'facility': 'F7', 'customer': 'H', 'cost': 704}, {'facility': 'F7', 'customer': 'I', 'cost': 755}, {'facility': 'F7', 'customer': 'J', 'cost': 487}, {'facility': 'F7', 'customer': 'K', 'cost': 303}, {'facility': 'F7', 'customer': 'L', 'cost': 439}, {'facility': 'F7', 'customer': 'M', 'cost': 193}, {'facility': 'F7', 'customer': 'N', 'cost': 472}, {'facility': 'F7', 'customer': 'O', 'cost': 763}, {'facility': 'F7', 'customer': 'P', 'cost': 511}, {'facility': 'F7', 'customer': 'Q', 'cost': 865}, {'facility': 'F7', 'customer': 'R', 'cost': 586}, {'facility': 'F7', 'customer': 'S', 'cost': 406}, {'facility': 'F7', 'customer': 'T', 'cost': 755}, {'facility': 'F8', 'customer': 'A', 'cost': 238}, {'facility': 'F8', 'customer': 'B', 'cost': 955}, {'facility': 'F8', 'customer': 'C', 'cost': 21}, {'facility': 'F8', 'customer': 'D', 'cost': 406}, {'facility': 'F8', 'customer': 'E', 'cost': 210}, {'facility': 'F8', 'customer': 'F', 'cost': 385}, {'facility': 'F8', 'customer': 'G', 'cost': 19}, {'facility': 'F8', 'customer': 'H', 'cost': 484}, {'facility': 'F8', 'customer': 'I', 'cost': 262}, {'facility': 'F8', 'customer': 'J', 'cost': 724}, {'facility': 'F8', 'customer': 'K', 'cost': 521}, {'facility': 'F8', 'customer': 'L', 'cost': 74}, {'facility': 'F8', 'customer': 'M', 'cost': 998}, {'facility': 'F8', 'customer': 'N', 'cost': 748}, {'facility': 'F8', 'customer': 'O', 'cost': 56}, {'facility': 'F8', 'customer': 'P', 'cost': 527}, {'facility': 'F8', 'customer': 'Q', 'cost': 886}, {'facility': 'F8', 'customer': 'R', 'cost': 708}, {'facility': 'F8', 'customer': 'S', 'cost': 813}, {'facility': 'F8', 'customer': 'T', 'cost': 862}], 'objective': 6137.0}","{'selected': ['F1', 'F5'], 'assignments': ['F5', 'F5', 'F5', 'F1', 'F1', 'F5', 'F1', 'F5', 'F1', 'F1', 'F1', 'F1', 'F5', 'F1', 'F5', 'F1', 'F1', 'F1', 'F5', 'F5']}",24,markdown_table,names
UFLP,UFLP,"Backstage it’s being decided which candidate info tables to put people at and how to route each festivalgoer to a single staffed table so the combined hit — staffing fees plus everyone’s walking burden — is as small as possible. To measure a plan, total the staffing costs for the tables that are opened and then add every visitor’s walk cost based on which table they’re sent to. No one can be left unassigned or sent to an unstaffed table, and any staffed table can serve any number of visitors. The specific details and numbers are listed below.

# num_candidate_booths=7
# num_attendees=17
# BOOTHS
booth_id,staffing_fee
F1,1000
F2,1000
F3,1000
F4,1000
F5,1000
F6,1000
F7,1000
# ATTENDEES
attendee_id
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
# WALKINGS
booth_id,attendee_id,walking_cost
F1,1,993
F1,2,990
F1,3,508
F1,4,292
F1,5,93
F1,6,309
F1,7,997
F1,8,808
F1,9,146
F1,10,441
F1,11,920
F1,12,793
F1,13,226
F1,14,813
F1,15,626
F1,16,959
F1,17,179
F2,1,707
F2,2,396
F2,3,685
F2,4,908
F2,5,595
F2,6,717
F2,7,13
F2,8,7
F2,9,733
F2,10,383
F2,11,7
F2,12,858
F2,13,935
F2,14,985
F2,15,840
F2,16,910
F2,17,558
F3,1,94
F3,2,61
F3,3,621
F3,4,109
F3,5,918
F3,6,559
F3,7,389
F3,8,841
F3,9,393
F3,10,307
F3,11,120
F3,12,54
F3,13,885
F3,14,675
F3,15,786
F3,16,999
F3,17,462
F4,1,400
F4,2,403
F4,3,192
F4,4,609
F4,5,166
F4,6,114
F4,7,618
F4,8,958
F4,9,866
F4,10,725
F4,11,891
F4,12,573
F4,13,947
F4,14,136
F4,15,777
F4,16,228
F4,17,661
F5,1,480
F5,2,130
F5,3,163
F5,4,219
F5,5,453
F5,6,632
F5,7,852
F5,8,341
F5,9,795
F5,10,163
F5,11,22
F5,12,518
F5,13,845
F5,14,389
F5,15,125
F5,16,852
F5,17,907
F6,1,359
F6,2,683
F6,3,630
F6,4,469
F6,5,852
F6,6,269
F6,7,437
F6,8,509
F6,9,514
F6,10,410
F6,11,481
F6,12,865
F6,13,635
F6,14,802
F6,15,859
F6,16,516
F6,17,973
F7,1,129
F7,2,586
F7,3,880
F7,4,110
F7,5,470
F7,6,30
F7,7,745
F7,8,437
F7,9,712
F7,10,905
F7,11,781
F7,12,875
F7,13,410
F7,14,179
F7,15,103
F7,16,283
F7,17,952

Quick heads-up: when you send back your plan, use this little JSON layout so I can read it reliably.

{
  ""solution"": {
    ""selected"": [<info_table_to_open>, <info_table_to_open>, ...],
    ""assignments"": [<assigned_info_table>, <assigned_info_table>, ...]
  }
}

""selected"" is where you list which info tables you're opening, and ""assignments"" is a list that, for each festivalgoer in the order they appear in the instance, says which opened table they get sent to. Think of it as a simple form: open these tables, and these people go to those tables.

This JSON is just the expected shape — a sketch of how your answer should be formatted, not the actual choices.

All identifiers in your actual answer must match the instance input exactly — do not rename them or invent new labels. For example: Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'opening_costs': [1000, 1000, 1000, 1000, 1000, 1000, 1000], 'connection_costs': [[993, 990, 508, 292, 93, 309, 997, 808, 146, 441, 920, 793, 226, 813, 626, 959, 179], [707, 396, 685, 908, 595, 717, 13, 7, 733, 383, 7, 858, 935, 985, 840, 910, 558], [94, 61, 621, 109, 918, 559, 389, 841, 393, 307, 120, 54, 885, 675, 786, 999, 462], [400, 403, 192, 609, 166, 114, 618, 958, 866, 725, 891, 573, 947, 136, 777, 228, 661], [480, 130, 163, 219, 453, 632, 852, 341, 795, 163, 22, 518, 845, 389, 125, 852, 907], [359, 683, 630, 469, 852, 269, 437, 509, 514, 410, 481, 865, 635, 802, 859, 516, 973], [129, 586, 880, 110, 470, 30, 745, 437, 712, 905, 781, 875, 410, 179, 103, 283, 952]], 'objective': 6318.0}","{'open_facilities': [0, 2, 6], 'assignments': [2, 2, 0, 2, 0, 6, 2, 6, 0, 2, 2, 2, 0, 6, 6, 6, 0]}",6318.0,"{'problem_type': 'UFLP', 'num_facilities': 7, 'num_customers': 17, 'facilities': [{'id': 'F1', 'opening_cost': 1000}, {'id': 'F2', 'opening_cost': 1000}, {'id': 'F3', 'opening_cost': 1000}, {'id': 'F4', 'opening_cost': 1000}, {'id': 'F5', 'opening_cost': 1000}, {'id': 'F6', 'opening_cost': 1000}, {'id': 'F7', 'opening_cost': 1000}], 'customers': [{'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}, {'id': 16}, {'id': 17}], 'connection_costs': [{'facility': 'F1', 'customer': 1, 'cost': 993}, {'facility': 'F1', 'customer': 2, 'cost': 990}, {'facility': 'F1', 'customer': 3, 'cost': 508}, {'facility': 'F1', 'customer': 4, 'cost': 292}, {'facility': 'F1', 'customer': 5, 'cost': 93}, {'facility': 'F1', 'customer': 6, 'cost': 309}, {'facility': 'F1', 'customer': 7, 'cost': 997}, {'facility': 'F1', 'customer': 8, 'cost': 808}, {'facility': 'F1', 'customer': 9, 'cost': 146}, {'facility': 'F1', 'customer': 10, 'cost': 441}, {'facility': 'F1', 'customer': 11, 'cost': 920}, {'facility': 'F1', 'customer': 12, 'cost': 793}, {'facility': 'F1', 'customer': 13, 'cost': 226}, {'facility': 'F1', 'customer': 14, 'cost': 813}, {'facility': 'F1', 'customer': 15, 'cost': 626}, {'facility': 'F1', 'customer': 16, 'cost': 959}, {'facility': 'F1', 'customer': 17, 'cost': 179}, {'facility': 'F2', 'customer': 1, 'cost': 707}, {'facility': 'F2', 'customer': 2, 'cost': 396}, {'facility': 'F2', 'customer': 3, 'cost': 685}, {'facility': 'F2', 'customer': 4, 'cost': 908}, {'facility': 'F2', 'customer': 5, 'cost': 595}, {'facility': 'F2', 'customer': 6, 'cost': 717}, {'facility': 'F2', 'customer': 7, 'cost': 13}, {'facility': 'F2', 'customer': 8, 'cost': 7}, {'facility': 'F2', 'customer': 9, 'cost': 733}, {'facility': 'F2', 'customer': 10, 'cost': 383}, {'facility': 'F2', 'customer': 11, 'cost': 7}, {'facility': 'F2', 'customer': 12, 'cost': 858}, {'facility': 'F2', 'customer': 13, 'cost': 935}, {'facility': 'F2', 'customer': 14, 'cost': 985}, {'facility': 'F2', 'customer': 15, 'cost': 840}, {'facility': 'F2', 'customer': 16, 'cost': 910}, {'facility': 'F2', 'customer': 17, 'cost': 558}, {'facility': 'F3', 'customer': 1, 'cost': 94}, {'facility': 'F3', 'customer': 2, 'cost': 61}, {'facility': 'F3', 'customer': 3, 'cost': 621}, {'facility': 'F3', 'customer': 4, 'cost': 109}, {'facility': 'F3', 'customer': 5, 'cost': 918}, {'facility': 'F3', 'customer': 6, 'cost': 559}, {'facility': 'F3', 'customer': 7, 'cost': 389}, {'facility': 'F3', 'customer': 8, 'cost': 841}, {'facility': 'F3', 'customer': 9, 'cost': 393}, {'facility': 'F3', 'customer': 10, 'cost': 307}, {'facility': 'F3', 'customer': 11, 'cost': 120}, {'facility': 'F3', 'customer': 12, 'cost': 54}, {'facility': 'F3', 'customer': 13, 'cost': 885}, {'facility': 'F3', 'customer': 14, 'cost': 675}, {'facility': 'F3', 'customer': 15, 'cost': 786}, {'facility': 'F3', 'customer': 16, 'cost': 999}, {'facility': 'F3', 'customer': 17, 'cost': 462}, {'facility': 'F4', 'customer': 1, 'cost': 400}, {'facility': 'F4', 'customer': 2, 'cost': 403}, {'facility': 'F4', 'customer': 3, 'cost': 192}, {'facility': 'F4', 'customer': 4, 'cost': 609}, {'facility': 'F4', 'customer': 5, 'cost': 166}, {'facility': 'F4', 'customer': 6, 'cost': 114}, {'facility': 'F4', 'customer': 7, 'cost': 618}, {'facility': 'F4', 'customer': 8, 'cost': 958}, {'facility': 'F4', 'customer': 9, 'cost': 866}, {'facility': 'F4', 'customer': 10, 'cost': 725}, {'facility': 'F4', 'customer': 11, 'cost': 891}, {'facility': 'F4', 'customer': 12, 'cost': 573}, {'facility': 'F4', 'customer': 13, 'cost': 947}, {'facility': 'F4', 'customer': 14, 'cost': 136}, {'facility': 'F4', 'customer': 15, 'cost': 777}, {'facility': 'F4', 'customer': 16, 'cost': 228}, {'facility': 'F4', 'customer': 17, 'cost': 661}, {'facility': 'F5', 'customer': 1, 'cost': 480}, {'facility': 'F5', 'customer': 2, 'cost': 130}, {'facility': 'F5', 'customer': 3, 'cost': 163}, {'facility': 'F5', 'customer': 4, 'cost': 219}, {'facility': 'F5', 'customer': 5, 'cost': 453}, {'facility': 'F5', 'customer': 6, 'cost': 632}, {'facility': 'F5', 'customer': 7, 'cost': 852}, {'facility': 'F5', 'customer': 8, 'cost': 341}, {'facility': 'F5', 'customer': 9, 'cost': 795}, {'facility': 'F5', 'customer': 10, 'cost': 163}, {'facility': 'F5', 'customer': 11, 'cost': 22}, {'facility': 'F5', 'customer': 12, 'cost': 518}, {'facility': 'F5', 'customer': 13, 'cost': 845}, {'facility': 'F5', 'customer': 14, 'cost': 389}, {'facility': 'F5', 'customer': 15, 'cost': 125}, {'facility': 'F5', 'customer': 16, 'cost': 852}, {'facility': 'F5', 'customer': 17, 'cost': 907}, {'facility': 'F6', 'customer': 1, 'cost': 359}, {'facility': 'F6', 'customer': 2, 'cost': 683}, {'facility': 'F6', 'customer': 3, 'cost': 630}, {'facility': 'F6', 'customer': 4, 'cost': 469}, {'facility': 'F6', 'customer': 5, 'cost': 852}, {'facility': 'F6', 'customer': 6, 'cost': 269}, {'facility': 'F6', 'customer': 7, 'cost': 437}, {'facility': 'F6', 'customer': 8, 'cost': 509}, {'facility': 'F6', 'customer': 9, 'cost': 514}, {'facility': 'F6', 'customer': 10, 'cost': 410}, {'facility': 'F6', 'customer': 11, 'cost': 481}, {'facility': 'F6', 'customer': 12, 'cost': 865}, {'facility': 'F6', 'customer': 13, 'cost': 635}, {'facility': 'F6', 'customer': 14, 'cost': 802}, {'facility': 'F6', 'customer': 15, 'cost': 859}, {'facility': 'F6', 'customer': 16, 'cost': 516}, {'facility': 'F6', 'customer': 17, 'cost': 973}, {'facility': 'F7', 'customer': 1, 'cost': 129}, {'facility': 'F7', 'customer': 2, 'cost': 586}, {'facility': 'F7', 'customer': 3, 'cost': 880}, {'facility': 'F7', 'customer': 4, 'cost': 110}, {'facility': 'F7', 'customer': 5, 'cost': 470}, {'facility': 'F7', 'customer': 6, 'cost': 30}, {'facility': 'F7', 'customer': 7, 'cost': 745}, {'facility': 'F7', 'customer': 8, 'cost': 437}, {'facility': 'F7', 'customer': 9, 'cost': 712}, {'facility': 'F7', 'customer': 10, 'cost': 905}, {'facility': 'F7', 'customer': 11, 'cost': 781}, {'facility': 'F7', 'customer': 12, 'cost': 875}, {'facility': 'F7', 'customer': 13, 'cost': 410}, {'facility': 'F7', 'customer': 14, 'cost': 179}, {'facility': 'F7', 'customer': 15, 'cost': 103}, {'facility': 'F7', 'customer': 16, 'cost': 283}, {'facility': 'F7', 'customer': 17, 'cost': 952}], 'objective': 6318.0}","{'selected': ['F1', 'F3', 'F7'], 'assignments': ['F3', 'F3', 'F1', 'F3', 'F1', 'F7', 'F3', 'F7', 'F1', 'F3', 'F3', 'F3', 'F1', 'F7', 'F7', 'F7', 'F1']}",25,csv,1
UFLP,UFLP,"Someone running a neighborhood parcel service is weighing which depots to switch on and which depot should handle each delivery. Each depot has a startup cost and each delivery carries a cost depending on the chosen depot, so decisions are judged by the total spend: depot startup costs plus the sum of all delivery costs. Every single delivery needs to be tied to one opened depot and not more. The full list of depots, costs, and deliveries appears below.

{
  ""num_depots"": 8,
  ""num_deliveries"": 17,
  ""depots"": [
    {
      ""depot_id"": ""F1"",
      ""depot_startup_cost"": 2000
    },
    {
      ""depot_id"": ""F2"",
      ""depot_startup_cost"": 2000
    },
    {
      ""depot_id"": ""F3"",
      ""depot_startup_cost"": 2000
    },
    {
      ""depot_id"": ""F4"",
      ""depot_startup_cost"": 2000
    },
    {
      ""depot_id"": ""F5"",
      ""depot_startup_cost"": 2000
    },
    {
      ""depot_id"": ""F6"",
      ""depot_startup_cost"": 2000
    },
    {
      ""depot_id"": ""F7"",
      ""depot_startup_cost"": 2000
    },
    {
      ""depot_id"": ""F8"",
      ""depot_startup_cost"": 2000
    }
  ],
  ""deliverys"": [
    {
      ""depot_id"": ""F1"",
      ""delivery_id"": ""A"",
      ""delivery_cost"": 807
    },
    {
      ""depot_id"": ""F1"",
      ""delivery_id"": ""B"",
      ""delivery_cost"": 985
    },
    {
      ""depot_id"": ""F1"",
      ""delivery_id"": ""C"",
      ""delivery_cost"": 20
    },
    {
      ""depot_id"": ""F1"",
      ""delivery_id"": ""D"",
      ""delivery_cost"": 227
    },
    {
      ""depot_id"": ""F1"",
      ""delivery_id"": ""E"",
      ""delivery_cost"": 68
    },
    {
      ""depot_id"": ""F1"",
      ""delivery_id"": ""F"",
      ""delivery_cost"": 471
    },
    {
      ""depot_id"": ""F1"",
      ""delivery_id"": ""G"",
      ""delivery_cost"": 464
    },
    {
      ""depot_id"": ""F1"",
      ""delivery_id"": ""H"",
      ""delivery_cost"": 279
    },
    {
      ""depot_id"": ""F1"",
      ""delivery_id"": ""I"",
      ""delivery_cost"": 332
    },
    {
      ""depot_id"": ""F1"",
      ""delivery_id"": ""J"",
      ""delivery_cost"": 874
    },
    {
      ""depot_id"": ""F1"",
      ""delivery_id"": ""K"",
      ""delivery_cost"": 480
    },
    {
      ""depot_id"": ""F1"",
      ""delivery_id"": ""L"",
      ""delivery_cost"": 710
    },
    {
      ""depot_id"": ""F1"",
      ""delivery_id"": ""M"",
      ""delivery_cost"": 527
    },
    {
      ""depot_id"": ""F1"",
      ""delivery_id"": ""N"",
      ""delivery_cost"": 841
    },
    {
      ""depot_id"": ""F1"",
      ""delivery_id"": ""O"",
      ""delivery_cost"": 424
    },
    {
      ""depot_id"": ""F1"",
      ""delivery_id"": ""P"",
      ""delivery_cost"": 14
    },
    {
      ""depot_id"": ""F1"",
      ""delivery_id"": ""Q"",
      ""delivery_cost"": 543
    },
    {
      ""depot_id"": ""F2"",
      ""delivery_id"": ""A"",
      ""delivery_cost"": 872
    },
    {
      ""depot_id"": ""F2"",
      ""delivery_id"": ""B"",
      ""delivery_cost"": 435
    },
    {
      ""depot_id"": ""F2"",
      ""delivery_id"": ""C"",
      ""delivery_cost"": 724
    },
    {
      ""depot_id"": ""F2"",
      ""delivery_id"": ""D"",
      ""delivery_cost"": 389
    },
    {
      ""depot_id"": ""F2"",
      ""delivery_id"": ""E"",
      ""delivery_cost"": 10
    },
    {
      ""depot_id"": ""F2"",
      ""delivery_id"": ""F"",
      ""delivery_cost"": 693
    },
    {
      ""depot_id"": ""F2"",
      ""delivery_id"": ""G"",
      ""delivery_cost"": 834
    },
    {
      ""depot_id"": ""F2"",
      ""delivery_id"": ""H"",
      ""delivery_cost"": 487
    },
    {
      ""depot_id"": ""F2"",
      ""delivery_id"": ""I"",
      ""delivery_cost"": 37
    },
    {
      ""depot_id"": ""F2"",
      ""delivery_id"": ""J"",
      ""delivery_cost"": 336
    },
    {
      ""depot_id"": ""F2"",
      ""delivery_id"": ""K"",
      ""delivery_cost"": 66
    },
    {
      ""depot_id"": ""F2"",
      ""delivery_id"": ""L"",
      ""delivery_cost"": 754
    },
    {
      ""depot_id"": ""F2"",
      ""delivery_id"": ""M"",
      ""delivery_cost"": 470
    },
    {
      ""depot_id"": ""F2"",
      ""delivery_id"": ""N"",
      ""delivery_cost"": 714
    },
    {
      ""depot_id"": ""F2"",
      ""delivery_id"": ""O"",
      ""delivery_cost"": 731
    },
    {
      ""depot_id"": ""F2"",
      ""delivery_id"": ""P"",
      ""delivery_cost"": 940
    },
    {
      ""depot_id"": ""F2"",
      ""delivery_id"": ""Q"",
      ""delivery_cost"": 976
    },
    {
      ""depot_id"": ""F3"",
      ""delivery_id"": ""A"",
      ""delivery_cost"": 285
    },
    {
      ""depot_id"": ""F3"",
      ""delivery_id"": ""B"",
      ""delivery_cost"": 317
    },
    {
      ""depot_id"": ""F3"",
      ""delivery_id"": ""C"",
      ""delivery_cost"": 903
    },
    {
      ""depot_id"": ""F3"",
      ""delivery_id"": ""D"",
      ""delivery_cost"": 509
    },
    {
      ""depot_id"": ""F3"",
      ""delivery_id"": ""E"",
      ""delivery_cost"": 639
    },
    {
      ""depot_id"": ""F3"",
      ""delivery_id"": ""F"",
      ""delivery_cost"": 136
    },
    {
      ""depot_id"": ""F3"",
      ""delivery_id"": ""G"",
      ""delivery_cost"": 149
    },
    {
      ""depot_id"": ""F3"",
      ""delivery_id"": ""H"",
      ""delivery_cost"": 192
    },
    {
      ""depot_id"": ""F3"",
      ""delivery_id"": ""I"",
      ""delivery_cost"": 488
    },
    {
      ""depot_id"": ""F3"",
      ""delivery_id"": ""J"",
      ""delivery_cost"": 817
    },
    {
      ""depot_id"": ""F3"",
      ""delivery_id"": ""K"",
      ""delivery_cost"": 679
    },
    {
      ""depot_id"": ""F3"",
      ""delivery_id"": ""L"",
      ""delivery_cost"": 746
    },
    {
      ""depot_id"": ""F3"",
      ""delivery_id"": ""M"",
      ""delivery_cost"": 351
    },
    {
      ""depot_id"": ""F3"",
      ""delivery_id"": ""N"",
      ""delivery_cost"": 888
    },
    {
      ""depot_id"": ""F3"",
      ""delivery_id"": ""O"",
      ""delivery_cost"": 612
    },
    {
      ""depot_id"": ""F3"",
      ""delivery_id"": ""P"",
      ""delivery_cost"": 77
    },
    {
      ""depot_id"": ""F3"",
      ""delivery_id"": ""Q"",
      ""delivery_cost"": 116
    },
    {
      ""depot_id"": ""F4"",
      ""delivery_id"": ""A"",
      ""delivery_cost"": 575
    },
    {
      ""depot_id"": ""F4"",
      ""delivery_id"": ""B"",
      ""delivery_cost"": 968
    },
    {
      ""depot_id"": ""F4"",
      ""delivery_id"": ""C"",
      ""delivery_cost"": 689
    },
    {
      ""depot_id"": ""F4"",
      ""delivery_id"": ""D"",
      ""delivery_cost"": 209
    },
    {
      ""depot_id"": ""F4"",
      ""delivery_id"": ""E"",
      ""delivery_cost"": 661
    },
    {
      ""depot_id"": ""F4"",
      ""delivery_id"": ""F"",
      ""delivery_cost"": 241
    },
    {
      ""depot_id"": ""F4"",
      ""delivery_id"": ""G"",
      ""delivery_cost"": 1000
    },
    {
      ""depot_id"": ""F4"",
      ""delivery_id"": ""H"",
      ""delivery_cost"": 688
    },
    {
      ""depot_id"": ""F4"",
      ""delivery_id"": ""I"",
      ""delivery_cost"": 361
    },
    {
      ""depot_id"": ""F4"",
      ""delivery_id"": ""J"",
      ""delivery_cost"": 263
    },
    {
      ""depot_id"": ""F4"",
      ""delivery_id"": ""K"",
      ""delivery_cost"": 206
    },
    {
      ""depot_id"": ""F4"",
      ""delivery_id"": ""L"",
      ""delivery_cost"": 218
    },
    {
      ""depot_id"": ""F4"",
      ""delivery_id"": ""M"",
      ""delivery_cost"": 127
    },
    {
      ""depot_id"": ""F4"",
      ""delivery_id"": ""N"",
      ""delivery_cost"": 769
    },
    {
      ""depot_id"": ""F4"",
      ""delivery_id"": ""O"",
      ""delivery_cost"": 149
    },
    {
      ""depot_id"": ""F4"",
      ""delivery_id"": ""P"",
      ""delivery_cost"": 791
    },
    {
      ""depot_id"": ""F4"",
      ""delivery_id"": ""Q"",
      ""delivery_cost"": 207
    },
    {
      ""depot_id"": ""F5"",
      ""delivery_id"": ""A"",
      ""delivery_cost"": 682
    },
    {
      ""depot_id"": ""F5"",
      ""delivery_id"": ""B"",
      ""delivery_cost"": 391
    },
    {
      ""depot_id"": ""F5"",
      ""delivery_id"": ""C"",
      ""delivery_cost"": 35
    },
    {
      ""depot_id"": ""F5"",
      ""delivery_id"": ""D"",
      ""delivery_cost"": 630
    },
    {
      ""depot_id"": ""F5"",
      ""delivery_id"": ""E"",
      ""delivery_cost"": 752
    },
    {
      ""depot_id"": ""F5"",
      ""delivery_id"": ""F"",
      ""delivery_cost"": 455
    },
    {
      ""depot_id"": ""F5"",
      ""delivery_id"": ""G"",
      ""delivery_cost"": 767
    },
    {
      ""depot_id"": ""F5"",
      ""delivery_id"": ""H"",
      ""delivery_cost"": 352
    },
    {
      ""depot_id"": ""F5"",
      ""delivery_id"": ""I"",
      ""delivery_cost"": 942
    },
    {
      ""depot_id"": ""F5"",
      ""delivery_id"": ""J"",
      ""delivery_cost"": 533
    },
    {
      ""depot_id"": ""F5"",
      ""delivery_id"": ""K"",
      ""delivery_cost"": 428
    },
    {
      ""depot_id"": ""F5"",
      ""delivery_id"": ""L"",
      ""delivery_cost"": 789
    },
    {
      ""depot_id"": ""F5"",
      ""delivery_id"": ""M"",
      ""delivery_cost"": 366
    },
    {
      ""depot_id"": ""F5"",
      ""delivery_id"": ""N"",
      ""delivery_cost"": 799
    },
    {
      ""depot_id"": ""F5"",
      ""delivery_id"": ""O"",
      ""delivery_cost"": 561
    },
    {
      ""depot_id"": ""F5"",
      ""delivery_id"": ""P"",
      ""delivery_cost"": 833
    },
    {
      ""depot_id"": ""F5"",
      ""delivery_id"": ""Q"",
      ""delivery_cost"": 645
    },
    {
      ""depot_id"": ""F6"",
      ""delivery_id"": ""A"",
      ""delivery_cost"": 766
    },
    {
      ""depot_id"": ""F6"",
      ""delivery_id"": ""B"",
      ""delivery_cost"": 323
    },
    {
      ""depot_id"": ""F6"",
      ""delivery_id"": ""C"",
      ""delivery_cost"": 730
    },
    {
      ""depot_id"": ""F6"",
      ""delivery_id"": ""D"",
      ""delivery_cost"": 851
    },
    {
      ""depot_id"": ""F6"",
      ""delivery_id"": ""E"",
      ""delivery_cost"": 420
    },
    {
      ""depot_id"": ""F6"",
      ""delivery_id"": ""F"",
      ""delivery_cost"": 583
    },
    {
      ""depot_id"": ""F6"",
      ""delivery_id"": ""G"",
      ""delivery_cost"": 660
    },
    {
      ""depot_id"": ""F6"",
      ""delivery_id"": ""H"",
      ""delivery_cost"": 29
    },
    {
      ""depot_id"": ""F6"",
      ""delivery_id"": ""I"",
      ""delivery_cost"": 214
    },
    {
      ""depot_id"": ""F6"",
      ""delivery_id"": ""J"",
      ""delivery_cost"": 538
    },
    {
      ""depot_id"": ""F6"",
      ""delivery_id"": ""K"",
      ""delivery_cost"": 54
    },
    {
      ""depot_id"": ""F6"",
      ""delivery_id"": ""L"",
      ""delivery_cost"": 777
    },
    {
      ""depot_id"": ""F6"",
      ""delivery_id"": ""M"",
      ""delivery_cost"": 626
    },
    {
      ""depot_id"": ""F6"",
      ""delivery_id"": ""N"",
      ""delivery_cost"": 465
    },
    {
      ""depot_id"": ""F6"",
      ""delivery_id"": ""O"",
      ""delivery_cost"": 644
    },
    {
      ""depot_id"": ""F6"",
      ""delivery_id"": ""P"",
      ""delivery_cost"": 857
    },
    {
      ""depot_id"": ""F6"",
      ""delivery_id"": ""Q"",
      ""delivery_cost"": 244
    },
    {
      ""depot_id"": ""F7"",
      ""delivery_id"": ""A"",
      ""delivery_cost"": 924
    },
    {
      ""depot_id"": ""F7"",
      ""delivery_id"": ""B"",
      ""delivery_cost"": 475
    },
    {
      ""depot_id"": ""F7"",
      ""delivery_id"": ""C"",
      ""delivery_cost"": 536
    },
    {
      ""depot_id"": ""F7"",
      ""delivery_id"": ""D"",
      ""delivery_cost"": 289
    },
    {
      ""depot_id"": ""F7"",
      ""delivery_id"": ""E"",
      ""delivery_cost"": 844
    },
    {
      ""depot_id"": ""F7"",
      ""delivery_id"": ""F"",
      ""delivery_cost"": 75
    },
    {
      ""depot_id"": ""F7"",
      ""delivery_id"": ""G"",
      ""delivery_cost"": 697
    },
    {
      ""depot_id"": ""F7"",
      ""delivery_id"": ""H"",
      ""delivery_cost"": 393
    },
    {
      ""depot_id"": ""F7"",
      ""delivery_id"": ""I"",
      ""delivery_cost"": 62
    },
    {
      ""depot_id"": ""F7"",
      ""delivery_id"": ""J"",
      ""delivery_cost"": 506
    },
    {
      ""depot_id"": ""F7"",
      ""delivery_id"": ""K"",
      ""delivery_cost"": 181
    },
    {
      ""depot_id"": ""F7"",
      ""delivery_id"": ""L"",
      ""delivery_cost"": 245
    },
    {
      ""depot_id"": ""F7"",
      ""delivery_id"": ""M"",
      ""delivery_cost"": 347
    },
    {
      ""depot_id"": ""F7"",
      ""delivery_id"": ""N"",
      ""delivery_cost"": 466
    },
    {
      ""depot_id"": ""F7"",
      ""delivery_id"": ""O"",
      ""delivery_cost"": 752
    },
    {
      ""depot_id"": ""F7"",
      ""delivery_id"": ""P"",
      ""delivery_cost"": 808
    },
    {
      ""depot_id"": ""F7"",
      ""delivery_id"": ""Q"",
      ""delivery_cost"": 880
    },
    {
      ""depot_id"": ""F8"",
      ""delivery_id"": ""A"",
      ""delivery_cost"": 610
    },
    {
      ""depot_id"": ""F8"",
      ""delivery_id"": ""B"",
      ""delivery_cost"": 147
    },
    {
      ""depot_id"": ""F8"",
      ""delivery_id"": ""C"",
      ""delivery_cost"": 572
    },
    {
      ""depot_id"": ""F8"",
      ""delivery_id"": ""D"",
      ""delivery_cost"": 124
    },
    {
      ""depot_id"": ""F8"",
      ""delivery_id"": ""E"",
      ""delivery_cost"": 687
    },
    {
      ""depot_id"": ""F8"",
      ""delivery_id"": ""F"",
      ""delivery_cost"": 802
    },
    {
      ""depot_id"": ""F8"",
      ""delivery_id"": ""G"",
      ""delivery_cost"": 542
    },
    {
      ""depot_id"": ""F8"",
      ""delivery_id"": ""H"",
      ""delivery_cost"": 112
    },
    {
      ""depot_id"": ""F8"",
      ""delivery_id"": ""I"",
      ""delivery_cost"": 931
    },
    {
      ""depot_id"": ""F8"",
      ""delivery_id"": ""J"",
      ""delivery_cost"": 569
    },
    {
      ""depot_id"": ""F8"",
      ""delivery_id"": ""K"",
      ""delivery_cost"": 683
    },
    {
      ""depot_id"": ""F8"",
      ""delivery_id"": ""L"",
      ""delivery_cost"": 601
    },
    {
      ""depot_id"": ""F8"",
      ""delivery_id"": ""M"",
      ""delivery_cost"": 973
    },
    {
      ""depot_id"": ""F8"",
      ""delivery_id"": ""N"",
      ""delivery_cost"": 816
    },
    {
      ""depot_id"": ""F8"",
      ""delivery_id"": ""O"",
      ""delivery_cost"": 838
    },
    {
      ""depot_id"": ""F8"",
      ""delivery_id"": ""P"",
      ""delivery_cost"": 10
    },
    {
      ""depot_id"": ""F8"",
      ""delivery_id"": ""Q"",
      ""delivery_cost"": 348
    }
  ]
}

You can just send back the choices in a tiny JSON snippet like this:

{
  ""solution"": {
    ""selected"": [<depot_to_open>, <depot_to_open>, ...],
    ""assignments"": [<chosen_open_depot>, <chosen_open_depot>, ...]
  }
}

Think of ""selected"" as the list of depots you decide to switch on, and ""assignments"" as, for each delivery in order, which opened depot will handle it. Super casual sketch — not the final picks, just the shape I need.

Please make sure you use the exact depot and delivery identifiers from the instance input — don't rename them or invent new labels. Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'opening_costs': [2000, 2000, 2000, 2000, 2000, 2000, 2000, 2000], 'connection_costs': [[807, 985, 20, 227, 68, 471, 464, 279, 332, 874, 480, 710, 527, 841, 424, 14, 543], [872, 435, 724, 389, 10, 693, 834, 487, 37, 336, 66, 754, 470, 714, 731, 940, 976], [285, 317, 903, 509, 639, 136, 149, 192, 488, 817, 679, 746, 351, 888, 612, 77, 116], [575, 968, 689, 209, 661, 241, 1000, 688, 361, 263, 206, 218, 127, 769, 149, 791, 207], [682, 391, 35, 630, 752, 455, 767, 352, 942, 533, 428, 789, 366, 799, 561, 833, 645], [766, 323, 730, 851, 420, 583, 660, 29, 214, 538, 54, 777, 626, 465, 644, 857, 244], [924, 475, 536, 289, 844, 75, 697, 393, 62, 506, 181, 245, 347, 466, 752, 808, 880], [610, 147, 572, 124, 687, 802, 542, 112, 931, 569, 683, 601, 973, 816, 838, 10, 348]], 'objective': 8902.0}","{'open_facilities': [2, 3], 'assignments': [2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 2, 2]}",8902.0,"{'problem_type': 'UFLP', 'num_facilities': 8, 'num_customers': 17, 'facilities': [{'id': 'F1', 'opening_cost': 2000}, {'id': 'F2', 'opening_cost': 2000}, {'id': 'F3', 'opening_cost': 2000}, {'id': 'F4', 'opening_cost': 2000}, {'id': 'F5', 'opening_cost': 2000}, {'id': 'F6', 'opening_cost': 2000}, {'id': 'F7', 'opening_cost': 2000}, {'id': 'F8', 'opening_cost': 2000}], 'customers': [{'id': 'A'}, {'id': 'B'}, {'id': 'C'}, {'id': 'D'}, {'id': 'E'}, {'id': 'F'}, {'id': 'G'}, {'id': 'H'}, {'id': 'I'}, {'id': 'J'}, {'id': 'K'}, {'id': 'L'}, {'id': 'M'}, {'id': 'N'}, {'id': 'O'}, {'id': 'P'}, {'id': 'Q'}], 'connection_costs': [{'facility': 'F1', 'customer': 'A', 'cost': 807}, {'facility': 'F1', 'customer': 'B', 'cost': 985}, {'facility': 'F1', 'customer': 'C', 'cost': 20}, {'facility': 'F1', 'customer': 'D', 'cost': 227}, {'facility': 'F1', 'customer': 'E', 'cost': 68}, {'facility': 'F1', 'customer': 'F', 'cost': 471}, {'facility': 'F1', 'customer': 'G', 'cost': 464}, {'facility': 'F1', 'customer': 'H', 'cost': 279}, {'facility': 'F1', 'customer': 'I', 'cost': 332}, {'facility': 'F1', 'customer': 'J', 'cost': 874}, {'facility': 'F1', 'customer': 'K', 'cost': 480}, {'facility': 'F1', 'customer': 'L', 'cost': 710}, {'facility': 'F1', 'customer': 'M', 'cost': 527}, {'facility': 'F1', 'customer': 'N', 'cost': 841}, {'facility': 'F1', 'customer': 'O', 'cost': 424}, {'facility': 'F1', 'customer': 'P', 'cost': 14}, {'facility': 'F1', 'customer': 'Q', 'cost': 543}, {'facility': 'F2', 'customer': 'A', 'cost': 872}, {'facility': 'F2', 'customer': 'B', 'cost': 435}, {'facility': 'F2', 'customer': 'C', 'cost': 724}, {'facility': 'F2', 'customer': 'D', 'cost': 389}, {'facility': 'F2', 'customer': 'E', 'cost': 10}, {'facility': 'F2', 'customer': 'F', 'cost': 693}, {'facility': 'F2', 'customer': 'G', 'cost': 834}, {'facility': 'F2', 'customer': 'H', 'cost': 487}, {'facility': 'F2', 'customer': 'I', 'cost': 37}, {'facility': 'F2', 'customer': 'J', 'cost': 336}, {'facility': 'F2', 'customer': 'K', 'cost': 66}, {'facility': 'F2', 'customer': 'L', 'cost': 754}, {'facility': 'F2', 'customer': 'M', 'cost': 470}, {'facility': 'F2', 'customer': 'N', 'cost': 714}, {'facility': 'F2', 'customer': 'O', 'cost': 731}, {'facility': 'F2', 'customer': 'P', 'cost': 940}, {'facility': 'F2', 'customer': 'Q', 'cost': 976}, {'facility': 'F3', 'customer': 'A', 'cost': 285}, {'facility': 'F3', 'customer': 'B', 'cost': 317}, {'facility': 'F3', 'customer': 'C', 'cost': 903}, {'facility': 'F3', 'customer': 'D', 'cost': 509}, {'facility': 'F3', 'customer': 'E', 'cost': 639}, {'facility': 'F3', 'customer': 'F', 'cost': 136}, {'facility': 'F3', 'customer': 'G', 'cost': 149}, {'facility': 'F3', 'customer': 'H', 'cost': 192}, {'facility': 'F3', 'customer': 'I', 'cost': 488}, {'facility': 'F3', 'customer': 'J', 'cost': 817}, {'facility': 'F3', 'customer': 'K', 'cost': 679}, {'facility': 'F3', 'customer': 'L', 'cost': 746}, {'facility': 'F3', 'customer': 'M', 'cost': 351}, {'facility': 'F3', 'customer': 'N', 'cost': 888}, {'facility': 'F3', 'customer': 'O', 'cost': 612}, {'facility': 'F3', 'customer': 'P', 'cost': 77}, {'facility': 'F3', 'customer': 'Q', 'cost': 116}, {'facility': 'F4', 'customer': 'A', 'cost': 575}, {'facility': 'F4', 'customer': 'B', 'cost': 968}, {'facility': 'F4', 'customer': 'C', 'cost': 689}, {'facility': 'F4', 'customer': 'D', 'cost': 209}, {'facility': 'F4', 'customer': 'E', 'cost': 661}, {'facility': 'F4', 'customer': 'F', 'cost': 241}, {'facility': 'F4', 'customer': 'G', 'cost': 1000}, {'facility': 'F4', 'customer': 'H', 'cost': 688}, {'facility': 'F4', 'customer': 'I', 'cost': 361}, {'facility': 'F4', 'customer': 'J', 'cost': 263}, {'facility': 'F4', 'customer': 'K', 'cost': 206}, {'facility': 'F4', 'customer': 'L', 'cost': 218}, {'facility': 'F4', 'customer': 'M', 'cost': 127}, {'facility': 'F4', 'customer': 'N', 'cost': 769}, {'facility': 'F4', 'customer': 'O', 'cost': 149}, {'facility': 'F4', 'customer': 'P', 'cost': 791}, {'facility': 'F4', 'customer': 'Q', 'cost': 207}, {'facility': 'F5', 'customer': 'A', 'cost': 682}, {'facility': 'F5', 'customer': 'B', 'cost': 391}, {'facility': 'F5', 'customer': 'C', 'cost': 35}, {'facility': 'F5', 'customer': 'D', 'cost': 630}, {'facility': 'F5', 'customer': 'E', 'cost': 752}, {'facility': 'F5', 'customer': 'F', 'cost': 455}, {'facility': 'F5', 'customer': 'G', 'cost': 767}, {'facility': 'F5', 'customer': 'H', 'cost': 352}, {'facility': 'F5', 'customer': 'I', 'cost': 942}, {'facility': 'F5', 'customer': 'J', 'cost': 533}, {'facility': 'F5', 'customer': 'K', 'cost': 428}, {'facility': 'F5', 'customer': 'L', 'cost': 789}, {'facility': 'F5', 'customer': 'M', 'cost': 366}, {'facility': 'F5', 'customer': 'N', 'cost': 799}, {'facility': 'F5', 'customer': 'O', 'cost': 561}, {'facility': 'F5', 'customer': 'P', 'cost': 833}, {'facility': 'F5', 'customer': 'Q', 'cost': 645}, {'facility': 'F6', 'customer': 'A', 'cost': 766}, {'facility': 'F6', 'customer': 'B', 'cost': 323}, {'facility': 'F6', 'customer': 'C', 'cost': 730}, {'facility': 'F6', 'customer': 'D', 'cost': 851}, {'facility': 'F6', 'customer': 'E', 'cost': 420}, {'facility': 'F6', 'customer': 'F', 'cost': 583}, {'facility': 'F6', 'customer': 'G', 'cost': 660}, {'facility': 'F6', 'customer': 'H', 'cost': 29}, {'facility': 'F6', 'customer': 'I', 'cost': 214}, {'facility': 'F6', 'customer': 'J', 'cost': 538}, {'facility': 'F6', 'customer': 'K', 'cost': 54}, {'facility': 'F6', 'customer': 'L', 'cost': 777}, {'facility': 'F6', 'customer': 'M', 'cost': 626}, {'facility': 'F6', 'customer': 'N', 'cost': 465}, {'facility': 'F6', 'customer': 'O', 'cost': 644}, {'facility': 'F6', 'customer': 'P', 'cost': 857}, {'facility': 'F6', 'customer': 'Q', 'cost': 244}, {'facility': 'F7', 'customer': 'A', 'cost': 924}, {'facility': 'F7', 'customer': 'B', 'cost': 475}, {'facility': 'F7', 'customer': 'C', 'cost': 536}, {'facility': 'F7', 'customer': 'D', 'cost': 289}, {'facility': 'F7', 'customer': 'E', 'cost': 844}, {'facility': 'F7', 'customer': 'F', 'cost': 75}, {'facility': 'F7', 'customer': 'G', 'cost': 697}, {'facility': 'F7', 'customer': 'H', 'cost': 393}, {'facility': 'F7', 'customer': 'I', 'cost': 62}, {'facility': 'F7', 'customer': 'J', 'cost': 506}, {'facility': 'F7', 'customer': 'K', 'cost': 181}, {'facility': 'F7', 'customer': 'L', 'cost': 245}, {'facility': 'F7', 'customer': 'M', 'cost': 347}, {'facility': 'F7', 'customer': 'N', 'cost': 466}, {'facility': 'F7', 'customer': 'O', 'cost': 752}, {'facility': 'F7', 'customer': 'P', 'cost': 808}, {'facility': 'F7', 'customer': 'Q', 'cost': 880}, {'facility': 'F8', 'customer': 'A', 'cost': 610}, {'facility': 'F8', 'customer': 'B', 'cost': 147}, {'facility': 'F8', 'customer': 'C', 'cost': 572}, {'facility': 'F8', 'customer': 'D', 'cost': 124}, {'facility': 'F8', 'customer': 'E', 'cost': 687}, {'facility': 'F8', 'customer': 'F', 'cost': 802}, {'facility': 'F8', 'customer': 'G', 'cost': 542}, {'facility': 'F8', 'customer': 'H', 'cost': 112}, {'facility': 'F8', 'customer': 'I', 'cost': 931}, {'facility': 'F8', 'customer': 'J', 'cost': 569}, {'facility': 'F8', 'customer': 'K', 'cost': 683}, {'facility': 'F8', 'customer': 'L', 'cost': 601}, {'facility': 'F8', 'customer': 'M', 'cost': 973}, {'facility': 'F8', 'customer': 'N', 'cost': 816}, {'facility': 'F8', 'customer': 'O', 'cost': 838}, {'facility': 'F8', 'customer': 'P', 'cost': 10}, {'facility': 'F8', 'customer': 'Q', 'cost': 348}], 'objective': 8902.0}","{'selected': ['F3', 'F4'], 'assignments': ['F3', 'F3', 'F4', 'F4', 'F3', 'F3', 'F3', 'F3', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F3', 'F3']}",26,json,names
UFLP,UFLP,"There’s a community project to roll out lending lockers for a local tool library so people can pick up items at convenient spots. The job is to pick which lockers to install and then attach every borrower to exactly one of the installed lockers — nobody should be missing or duplicated in the sign-up list. Effectiveness is judged by the sum of two things: the cost of installing the chosen lockers plus the sum of each borrower’s effort to fetch their tools; the lower that combined sum, the better the plan. The specific locker locations, installation costs, and borrower list will be shown below.

{
  ""num_lockers"": 6,
  ""num_borrowers"": 15,
  ""lockers"": [
    {
      ""locker_id"": ""F1"",
      ""installation_cost"": 2000
    },
    {
      ""locker_id"": ""F2"",
      ""installation_cost"": 2000
    },
    {
      ""locker_id"": ""F3"",
      ""installation_cost"": 2000
    },
    {
      ""locker_id"": ""F4"",
      ""installation_cost"": 2000
    },
    {
      ""locker_id"": ""F5"",
      ""installation_cost"": 2000
    },
    {
      ""locker_id"": ""F6"",
      ""installation_cost"": 2000
    }
  ],
  ""borrowers"": [
    {
      ""borrower_id"": ""A""
    },
    {
      ""borrower_id"": ""B""
    },
    {
      ""borrower_id"": ""C""
    },
    {
      ""borrower_id"": ""D""
    },
    {
      ""borrower_id"": ""E""
    },
    {
      ""borrower_id"": ""F""
    },
    {
      ""borrower_id"": ""G""
    },
    {
      ""borrower_id"": ""H""
    },
    {
      ""borrower_id"": ""I""
    },
    {
      ""borrower_id"": ""J""
    },
    {
      ""borrower_id"": ""K""
    },
    {
      ""borrower_id"": ""L""
    },
    {
      ""borrower_id"": ""M""
    },
    {
      ""borrower_id"": ""N""
    },
    {
      ""borrower_id"": ""O""
    }
  ],
  ""retrieval_efforts"": [
    {
      ""locker_id"": ""F1"",
      ""borrower_id"": ""A"",
      ""retrieval_effort"": 722
    },
    {
      ""locker_id"": ""F1"",
      ""borrower_id"": ""B"",
      ""retrieval_effort"": 744
    },
    {
      ""locker_id"": ""F1"",
      ""borrower_id"": ""C"",
      ""retrieval_effort"": 600
    },
    {
      ""locker_id"": ""F1"",
      ""borrower_id"": ""D"",
      ""retrieval_effort"": 701
    },
    {
      ""locker_id"": ""F1"",
      ""borrower_id"": ""E"",
      ""retrieval_effort"": 36
    },
    {
      ""locker_id"": ""F1"",
      ""borrower_id"": ""F"",
      ""retrieval_effort"": 201
    },
    {
      ""locker_id"": ""F1"",
      ""borrower_id"": ""G"",
      ""retrieval_effort"": 690
    },
    {
      ""locker_id"": ""F1"",
      ""borrower_id"": ""H"",
      ""retrieval_effort"": 618
    },
    {
      ""locker_id"": ""F1"",
      ""borrower_id"": ""I"",
      ""retrieval_effort"": 986
    },
    {
      ""locker_id"": ""F1"",
      ""borrower_id"": ""J"",
      ""retrieval_effort"": 365
    },
    {
      ""locker_id"": ""F1"",
      ""borrower_id"": ""K"",
      ""retrieval_effort"": 499
    },
    {
      ""locker_id"": ""F1"",
      ""borrower_id"": ""L"",
      ""retrieval_effort"": 525
    },
    {
      ""locker_id"": ""F1"",
      ""borrower_id"": ""M"",
      ""retrieval_effort"": 140
    },
    {
      ""locker_id"": ""F1"",
      ""borrower_id"": ""N"",
      ""retrieval_effort"": 207
    },
    {
      ""locker_id"": ""F1"",
      ""borrower_id"": ""O"",
      ""retrieval_effort"": 862
    },
    {
      ""locker_id"": ""F2"",
      ""borrower_id"": ""A"",
      ""retrieval_effort"": 839
    },
    {
      ""locker_id"": ""F2"",
      ""borrower_id"": ""B"",
      ""retrieval_effort"": 871
    },
    {
      ""locker_id"": ""F2"",
      ""borrower_id"": ""C"",
      ""retrieval_effort"": 189
    },
    {
      ""locker_id"": ""F2"",
      ""borrower_id"": ""D"",
      ""retrieval_effort"": 504
    },
    {
      ""locker_id"": ""F2"",
      ""borrower_id"": ""E"",
      ""retrieval_effort"": 566
    },
    {
      ""locker_id"": ""F2"",
      ""borrower_id"": ""F"",
      ""retrieval_effort"": 232
    },
    {
      ""locker_id"": ""F2"",
      ""borrower_id"": ""G"",
      ""retrieval_effort"": 740
    },
    {
      ""locker_id"": ""F2"",
      ""borrower_id"": ""H"",
      ""retrieval_effort"": 409
    },
    {
      ""locker_id"": ""F2"",
      ""borrower_id"": ""I"",
      ""retrieval_effort"": 278
    },
    {
      ""locker_id"": ""F2"",
      ""borrower_id"": ""J"",
      ""retrieval_effort"": 59
    },
    {
      ""locker_id"": ""F2"",
      ""borrower_id"": ""K"",
      ""retrieval_effort"": 326
    },
    {
      ""locker_id"": ""F2"",
      ""borrower_id"": ""L"",
      ""retrieval_effort"": 707
    },
    {
      ""locker_id"": ""F2"",
      ""borrower_id"": ""M"",
      ""retrieval_effort"": 2
    },
    {
      ""locker_id"": ""F2"",
      ""borrower_id"": ""N"",
      ""retrieval_effort"": 228
    },
    {
      ""locker_id"": ""F2"",
      ""borrower_id"": ""O"",
      ""retrieval_effort"": 610
    },
    {
      ""locker_id"": ""F3"",
      ""borrower_id"": ""A"",
      ""retrieval_effort"": 625
    },
    {
      ""locker_id"": ""F3"",
      ""borrower_id"": ""B"",
      ""retrieval_effort"": 127
    },
    {
      ""locker_id"": ""F3"",
      ""borrower_id"": ""C"",
      ""retrieval_effort"": 721
    },
    {
      ""locker_id"": ""F3"",
      ""borrower_id"": ""D"",
      ""retrieval_effort"": 300
    },
    {
      ""locker_id"": ""F3"",
      ""borrower_id"": ""E"",
      ""retrieval_effort"": 458
    },
    {
      ""locker_id"": ""F3"",
      ""borrower_id"": ""F"",
      ""retrieval_effort"": 328
    },
    {
      ""locker_id"": ""F3"",
      ""borrower_id"": ""G"",
      ""retrieval_effort"": 942
    },
    {
      ""locker_id"": ""F3"",
      ""borrower_id"": ""H"",
      ""retrieval_effort"": 138
    },
    {
      ""locker_id"": ""F3"",
      ""borrower_id"": ""I"",
      ""retrieval_effort"": 716
    },
    {
      ""locker_id"": ""F3"",
      ""borrower_id"": ""J"",
      ""retrieval_effort"": 602
    },
    {
      ""locker_id"": ""F3"",
      ""borrower_id"": ""K"",
      ""retrieval_effort"": 538
    },
    {
      ""locker_id"": ""F3"",
      ""borrower_id"": ""L"",
      ""retrieval_effort"": 372
    },
    {
      ""locker_id"": ""F3"",
      ""borrower_id"": ""M"",
      ""retrieval_effort"": 651
    },
    {
      ""locker_id"": ""F3"",
      ""borrower_id"": ""N"",
      ""retrieval_effort"": 622
    },
    {
      ""locker_id"": ""F3"",
      ""borrower_id"": ""O"",
      ""retrieval_effort"": 42
    },
    {
      ""locker_id"": ""F4"",
      ""borrower_id"": ""A"",
      ""retrieval_effort"": 781
    },
    {
      ""locker_id"": ""F4"",
      ""borrower_id"": ""B"",
      ""retrieval_effort"": 355
    },
    {
      ""locker_id"": ""F4"",
      ""borrower_id"": ""C"",
      ""retrieval_effort"": 936
    },
    {
      ""locker_id"": ""F4"",
      ""borrower_id"": ""D"",
      ""retrieval_effort"": 980
    },
    {
      ""locker_id"": ""F4"",
      ""borrower_id"": ""E"",
      ""retrieval_effort"": 959
    },
    {
      ""locker_id"": ""F4"",
      ""borrower_id"": ""F"",
      ""retrieval_effort"": 476
    },
    {
      ""locker_id"": ""F4"",
      ""borrower_id"": ""G"",
      ""retrieval_effort"": 788
    },
    {
      ""locker_id"": ""F4"",
      ""borrower_id"": ""H"",
      ""retrieval_effort"": 792
    },
    {
      ""locker_id"": ""F4"",
      ""borrower_id"": ""I"",
      ""retrieval_effort"": 806
    },
    {
      ""locker_id"": ""F4"",
      ""borrower_id"": ""J"",
      ""retrieval_effort"": 930
    },
    {
      ""locker_id"": ""F4"",
      ""borrower_id"": ""K"",
      ""retrieval_effort"": 699
    },
    {
      ""locker_id"": ""F4"",
      ""borrower_id"": ""L"",
      ""retrieval_effort"": 998
    },
    {
      ""locker_id"": ""F4"",
      ""borrower_id"": ""M"",
      ""retrieval_effort"": 762
    },
    {
      ""locker_id"": ""F4"",
      ""borrower_id"": ""N"",
      ""retrieval_effort"": 880
    },
    {
      ""locker_id"": ""F4"",
      ""borrower_id"": ""O"",
      ""retrieval_effort"": 295
    },
    {
      ""locker_id"": ""F5"",
      ""borrower_id"": ""A"",
      ""retrieval_effort"": 317
    },
    {
      ""locker_id"": ""F5"",
      ""borrower_id"": ""B"",
      ""retrieval_effort"": 646
    },
    {
      ""locker_id"": ""F5"",
      ""borrower_id"": ""C"",
      ""retrieval_effort"": 813
    },
    {
      ""locker_id"": ""F5"",
      ""borrower_id"": ""D"",
      ""retrieval_effort"": 607
    },
    {
      ""locker_id"": ""F5"",
      ""borrower_id"": ""E"",
      ""retrieval_effort"": 325
    },
    {
      ""locker_id"": ""F5"",
      ""borrower_id"": ""F"",
      ""retrieval_effort"": 428
    },
    {
      ""locker_id"": ""F5"",
      ""borrower_id"": ""G"",
      ""retrieval_effort"": 18
    },
    {
      ""locker_id"": ""F5"",
      ""borrower_id"": ""H"",
      ""retrieval_effort"": 157
    },
    {
      ""locker_id"": ""F5"",
      ""borrower_id"": ""I"",
      ""retrieval_effort"": 832
    },
    {
      ""locker_id"": ""F5"",
      ""borrower_id"": ""J"",
      ""retrieval_effort"": 20
    },
    {
      ""locker_id"": ""F5"",
      ""borrower_id"": ""K"",
      ""retrieval_effort"": 310
    },
    {
      ""locker_id"": ""F5"",
      ""borrower_id"": ""L"",
      ""retrieval_effort"": 214
    },
    {
      ""locker_id"": ""F5"",
      ""borrower_id"": ""M"",
      ""retrieval_effort"": 714
    },
    {
      ""locker_id"": ""F5"",
      ""borrower_id"": ""N"",
      ""retrieval_effort"": 312
    },
    {
      ""locker_id"": ""F5"",
      ""borrower_id"": ""O"",
      ""retrieval_effort"": 54
    },
    {
      ""locker_id"": ""F6"",
      ""borrower_id"": ""A"",
      ""retrieval_effort"": 767
    },
    {
      ""locker_id"": ""F6"",
      ""borrower_id"": ""B"",
      ""retrieval_effort"": 665
    },
    {
      ""locker_id"": ""F6"",
      ""borrower_id"": ""C"",
      ""retrieval_effort"": 225
    },
    {
      ""locker_id"": ""F6"",
      ""borrower_id"": ""D"",
      ""retrieval_effort"": 94
    },
    {
      ""locker_id"": ""F6"",
      ""borrower_id"": ""E"",
      ""retrieval_effort"": 806
    },
    {
      ""locker_id"": ""F6"",
      ""borrower_id"": ""F"",
      ""retrieval_effort"": 530
    },
    {
      ""locker_id"": ""F6"",
      ""borrower_id"": ""G"",
      ""retrieval_effort"": 290
    },
    {
      ""locker_id"": ""F6"",
      ""borrower_id"": ""H"",
      ""retrieval_effort"": 726
    },
    {
      ""locker_id"": ""F6"",
      ""borrower_id"": ""I"",
      ""retrieval_effort"": 989
    },
    {
      ""locker_id"": ""F6"",
      ""borrower_id"": ""J"",
      ""retrieval_effort"": 822
    },
    {
      ""locker_id"": ""F6"",
      ""borrower_id"": ""K"",
      ""retrieval_effort"": 525
    },
    {
      ""locker_id"": ""F6"",
      ""borrower_id"": ""L"",
      ""retrieval_effort"": 565
    },
    {
      ""locker_id"": ""F6"",
      ""borrower_id"": ""M"",
      ""retrieval_effort"": 850
    },
    {
      ""locker_id"": ""F6"",
      ""borrower_id"": ""N"",
      ""retrieval_effort"": 447
    },
    {
      ""locker_id"": ""F6"",
      ""borrower_id"": ""O"",
      ""retrieval_effort"": 187
    }
  ]
}

I’ll send the plan back in a simple JSON layout so it’s easy to read and use. It will follow this shape:

{
  ""solution"": {
    ""selected"": [<site_to_open>, <site_to_open>, ...],
    ""assignments"": [<chosen_site_to_open>, <chosen_site_to_open>, ...]
  }
}

""selected"" is where I’ll list which locker sites we decide to install. ""assignments"" is a list, in borrower order, saying which opened site each borrower is attached to. Think of it as a short form — a sketch of the shape I’ll fill with the actual choices.

Please make sure to use the exact identifiers from the instance input — do not rename them or invent new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'opening_costs': [2000, 2000, 2000, 2000, 2000, 2000], 'connection_costs': [[722, 744, 600, 701, 36, 201, 690, 618, 986, 365, 499, 525, 140, 207, 862], [839, 871, 189, 504, 566, 232, 740, 409, 278, 59, 326, 707, 2, 228, 610], [625, 127, 721, 300, 458, 328, 942, 138, 716, 602, 538, 372, 651, 622, 42], [781, 355, 936, 980, 959, 476, 788, 792, 806, 930, 699, 998, 762, 880, 295], [317, 646, 813, 607, 325, 428, 18, 157, 832, 20, 310, 214, 714, 312, 54], [767, 665, 225, 94, 806, 530, 290, 726, 989, 822, 525, 565, 850, 447, 187]], 'objective': 7494.0}","{'open_facilities': [1, 4], 'assignments': [4, 4, 1, 1, 4, 1, 4, 4, 1, 4, 4, 4, 1, 1, 4]}",7494.0,"{'problem_type': 'UFLP', 'num_facilities': 6, 'num_customers': 15, 'facilities': [{'id': 'F1', 'opening_cost': 2000}, {'id': 'F2', 'opening_cost': 2000}, {'id': 'F3', 'opening_cost': 2000}, {'id': 'F4', 'opening_cost': 2000}, {'id': 'F5', 'opening_cost': 2000}, {'id': 'F6', 'opening_cost': 2000}], 'customers': [{'id': 'A'}, {'id': 'B'}, {'id': 'C'}, {'id': 'D'}, {'id': 'E'}, {'id': 'F'}, {'id': 'G'}, {'id': 'H'}, {'id': 'I'}, {'id': 'J'}, {'id': 'K'}, {'id': 'L'}, {'id': 'M'}, {'id': 'N'}, {'id': 'O'}], 'connection_costs': [{'facility': 'F1', 'customer': 'A', 'cost': 722}, {'facility': 'F1', 'customer': 'B', 'cost': 744}, {'facility': 'F1', 'customer': 'C', 'cost': 600}, {'facility': 'F1', 'customer': 'D', 'cost': 701}, {'facility': 'F1', 'customer': 'E', 'cost': 36}, {'facility': 'F1', 'customer': 'F', 'cost': 201}, {'facility': 'F1', 'customer': 'G', 'cost': 690}, {'facility': 'F1', 'customer': 'H', 'cost': 618}, {'facility': 'F1', 'customer': 'I', 'cost': 986}, {'facility': 'F1', 'customer': 'J', 'cost': 365}, {'facility': 'F1', 'customer': 'K', 'cost': 499}, {'facility': 'F1', 'customer': 'L', 'cost': 525}, {'facility': 'F1', 'customer': 'M', 'cost': 140}, {'facility': 'F1', 'customer': 'N', 'cost': 207}, {'facility': 'F1', 'customer': 'O', 'cost': 862}, {'facility': 'F2', 'customer': 'A', 'cost': 839}, {'facility': 'F2', 'customer': 'B', 'cost': 871}, {'facility': 'F2', 'customer': 'C', 'cost': 189}, {'facility': 'F2', 'customer': 'D', 'cost': 504}, {'facility': 'F2', 'customer': 'E', 'cost': 566}, {'facility': 'F2', 'customer': 'F', 'cost': 232}, {'facility': 'F2', 'customer': 'G', 'cost': 740}, {'facility': 'F2', 'customer': 'H', 'cost': 409}, {'facility': 'F2', 'customer': 'I', 'cost': 278}, {'facility': 'F2', 'customer': 'J', 'cost': 59}, {'facility': 'F2', 'customer': 'K', 'cost': 326}, {'facility': 'F2', 'customer': 'L', 'cost': 707}, {'facility': 'F2', 'customer': 'M', 'cost': 2}, {'facility': 'F2', 'customer': 'N', 'cost': 228}, {'facility': 'F2', 'customer': 'O', 'cost': 610}, {'facility': 'F3', 'customer': 'A', 'cost': 625}, {'facility': 'F3', 'customer': 'B', 'cost': 127}, {'facility': 'F3', 'customer': 'C', 'cost': 721}, {'facility': 'F3', 'customer': 'D', 'cost': 300}, {'facility': 'F3', 'customer': 'E', 'cost': 458}, {'facility': 'F3', 'customer': 'F', 'cost': 328}, {'facility': 'F3', 'customer': 'G', 'cost': 942}, {'facility': 'F3', 'customer': 'H', 'cost': 138}, {'facility': 'F3', 'customer': 'I', 'cost': 716}, {'facility': 'F3', 'customer': 'J', 'cost': 602}, {'facility': 'F3', 'customer': 'K', 'cost': 538}, {'facility': 'F3', 'customer': 'L', 'cost': 372}, {'facility': 'F3', 'customer': 'M', 'cost': 651}, {'facility': 'F3', 'customer': 'N', 'cost': 622}, {'facility': 'F3', 'customer': 'O', 'cost': 42}, {'facility': 'F4', 'customer': 'A', 'cost': 781}, {'facility': 'F4', 'customer': 'B', 'cost': 355}, {'facility': 'F4', 'customer': 'C', 'cost': 936}, {'facility': 'F4', 'customer': 'D', 'cost': 980}, {'facility': 'F4', 'customer': 'E', 'cost': 959}, {'facility': 'F4', 'customer': 'F', 'cost': 476}, {'facility': 'F4', 'customer': 'G', 'cost': 788}, {'facility': 'F4', 'customer': 'H', 'cost': 792}, {'facility': 'F4', 'customer': 'I', 'cost': 806}, {'facility': 'F4', 'customer': 'J', 'cost': 930}, {'facility': 'F4', 'customer': 'K', 'cost': 699}, {'facility': 'F4', 'customer': 'L', 'cost': 998}, {'facility': 'F4', 'customer': 'M', 'cost': 762}, {'facility': 'F4', 'customer': 'N', 'cost': 880}, {'facility': 'F4', 'customer': 'O', 'cost': 295}, {'facility': 'F5', 'customer': 'A', 'cost': 317}, {'facility': 'F5', 'customer': 'B', 'cost': 646}, {'facility': 'F5', 'customer': 'C', 'cost': 813}, {'facility': 'F5', 'customer': 'D', 'cost': 607}, {'facility': 'F5', 'customer': 'E', 'cost': 325}, {'facility': 'F5', 'customer': 'F', 'cost': 428}, {'facility': 'F5', 'customer': 'G', 'cost': 18}, {'facility': 'F5', 'customer': 'H', 'cost': 157}, {'facility': 'F5', 'customer': 'I', 'cost': 832}, {'facility': 'F5', 'customer': 'J', 'cost': 20}, {'facility': 'F5', 'customer': 'K', 'cost': 310}, {'facility': 'F5', 'customer': 'L', 'cost': 214}, {'facility': 'F5', 'customer': 'M', 'cost': 714}, {'facility': 'F5', 'customer': 'N', 'cost': 312}, {'facility': 'F5', 'customer': 'O', 'cost': 54}, {'facility': 'F6', 'customer': 'A', 'cost': 767}, {'facility': 'F6', 'customer': 'B', 'cost': 665}, {'facility': 'F6', 'customer': 'C', 'cost': 225}, {'facility': 'F6', 'customer': 'D', 'cost': 94}, {'facility': 'F6', 'customer': 'E', 'cost': 806}, {'facility': 'F6', 'customer': 'F', 'cost': 530}, {'facility': 'F6', 'customer': 'G', 'cost': 290}, {'facility': 'F6', 'customer': 'H', 'cost': 726}, {'facility': 'F6', 'customer': 'I', 'cost': 989}, {'facility': 'F6', 'customer': 'J', 'cost': 822}, {'facility': 'F6', 'customer': 'K', 'cost': 525}, {'facility': 'F6', 'customer': 'L', 'cost': 565}, {'facility': 'F6', 'customer': 'M', 'cost': 850}, {'facility': 'F6', 'customer': 'N', 'cost': 447}, {'facility': 'F6', 'customer': 'O', 'cost': 187}], 'objective': 7494.0}","{'selected': ['F2', 'F5'], 'assignments': ['F5', 'F5', 'F2', 'F2', 'F5', 'F2', 'F5', 'F5', 'F2', 'F5', 'F5', 'F5', 'F2', 'F2', 'F5']}",27,json,names
UFLP,UFLP,"Recently the county asked us to choose which vaccination sites to operate and to assign each resident to a single chosen site. The winning setup is the one with the smallest total cost — that total comes from the sum of the sites’ operating costs we use plus the travel cost for each resident to their assigned spot. Make sure everyone has one assigned site and no one is assigned twice; the concrete figures are shown below.

{
  ""num_vaccination_sites"": 6,
  ""num_residents"": 16,
  ""sites"": [
    {
      ""site_id"": ""F1"",
      ""operating_cost"": 2000
    },
    {
      ""site_id"": ""F2"",
      ""operating_cost"": 2000
    },
    {
      ""site_id"": ""F3"",
      ""operating_cost"": 2000
    },
    {
      ""site_id"": ""F4"",
      ""operating_cost"": 2000
    },
    {
      ""site_id"": ""F5"",
      ""operating_cost"": 2000
    },
    {
      ""site_id"": ""F6"",
      ""operating_cost"": 2000
    }
  ],
  ""residents"": [
    {
      ""resident_id"": 1
    },
    {
      ""resident_id"": 2
    },
    {
      ""resident_id"": 3
    },
    {
      ""resident_id"": 4
    },
    {
      ""resident_id"": 5
    },
    {
      ""resident_id"": 6
    },
    {
      ""resident_id"": 7
    },
    {
      ""resident_id"": 8
    },
    {
      ""resident_id"": 9
    },
    {
      ""resident_id"": 10
    },
    {
      ""resident_id"": 11
    },
    {
      ""resident_id"": 12
    },
    {
      ""resident_id"": 13
    },
    {
      ""resident_id"": 14
    },
    {
      ""resident_id"": 15
    },
    {
      ""resident_id"": 16
    }
  ],
  ""travels"": [
    {
      ""site_id"": ""F1"",
      ""resident_id"": 1,
      ""travel_cost"": 286
    },
    {
      ""site_id"": ""F1"",
      ""resident_id"": 2,
      ""travel_cost"": 765
    },
    {
      ""site_id"": ""F1"",
      ""resident_id"": 3,
      ""travel_cost"": 429
    },
    {
      ""site_id"": ""F1"",
      ""resident_id"": 4,
      ""travel_cost"": 190
    },
    {
      ""site_id"": ""F1"",
      ""resident_id"": 5,
      ""travel_cost"": 742
    },
    {
      ""site_id"": ""F1"",
      ""resident_id"": 6,
      ""travel_cost"": 648
    },
    {
      ""site_id"": ""F1"",
      ""resident_id"": 7,
      ""travel_cost"": 647
    },
    {
      ""site_id"": ""F1"",
      ""resident_id"": 8,
      ""travel_cost"": 806
    },
    {
      ""site_id"": ""F1"",
      ""resident_id"": 9,
      ""travel_cost"": 351
    },
    {
      ""site_id"": ""F1"",
      ""resident_id"": 10,
      ""travel_cost"": 610
    },
    {
      ""site_id"": ""F1"",
      ""resident_id"": 11,
      ""travel_cost"": 904
    },
    {
      ""site_id"": ""F1"",
      ""resident_id"": 12,
      ""travel_cost"": 805
    },
    {
      ""site_id"": ""F1"",
      ""resident_id"": 13,
      ""travel_cost"": 81
    },
    {
      ""site_id"": ""F1"",
      ""resident_id"": 14,
      ""travel_cost"": 662
    },
    {
      ""site_id"": ""F1"",
      ""resident_id"": 15,
      ""travel_cost"": 934
    },
    {
      ""site_id"": ""F1"",
      ""resident_id"": 16,
      ""travel_cost"": 398
    },
    {
      ""site_id"": ""F2"",
      ""resident_id"": 1,
      ""travel_cost"": 288
    },
    {
      ""site_id"": ""F2"",
      ""resident_id"": 2,
      ""travel_cost"": 446
    },
    {
      ""site_id"": ""F2"",
      ""resident_id"": 3,
      ""travel_cost"": 410
    },
    {
      ""site_id"": ""F2"",
      ""resident_id"": 4,
      ""travel_cost"": 213
    },
    {
      ""site_id"": ""F2"",
      ""resident_id"": 5,
      ""travel_cost"": 623
    },
    {
      ""site_id"": ""F2"",
      ""resident_id"": 6,
      ""travel_cost"": 362
    },
    {
      ""site_id"": ""F2"",
      ""resident_id"": 7,
      ""travel_cost"": 980
    },
    {
      ""site_id"": ""F2"",
      ""resident_id"": 8,
      ""travel_cost"": 97
    },
    {
      ""site_id"": ""F2"",
      ""resident_id"": 9,
      ""travel_cost"": 969
    },
    {
      ""site_id"": ""F2"",
      ""resident_id"": 10,
      ""travel_cost"": 603
    },
    {
      ""site_id"": ""F2"",
      ""resident_id"": 11,
      ""travel_cost"": 864
    },
    {
      ""site_id"": ""F2"",
      ""resident_id"": 12,
      ""travel_cost"": 967
    },
    {
      ""site_id"": ""F2"",
      ""resident_id"": 13,
      ""travel_cost"": 275
    },
    {
      ""site_id"": ""F2"",
      ""resident_id"": 14,
      ""travel_cost"": 711
    },
    {
      ""site_id"": ""F2"",
      ""resident_id"": 15,
      ""travel_cost"": 576
    },
    {
      ""site_id"": ""F2"",
      ""resident_id"": 16,
      ""travel_cost"": 920
    },
    {
      ""site_id"": ""F3"",
      ""resident_id"": 1,
      ""travel_cost"": 529
    },
    {
      ""site_id"": ""F3"",
      ""resident_id"": 2,
      ""travel_cost"": 690
    },
    {
      ""site_id"": ""F3"",
      ""resident_id"": 3,
      ""travel_cost"": 319
    },
    {
      ""site_id"": ""F3"",
      ""resident_id"": 4,
      ""travel_cost"": 281
    },
    {
      ""site_id"": ""F3"",
      ""resident_id"": 5,
      ""travel_cost"": 606
    },
    {
      ""site_id"": ""F3"",
      ""resident_id"": 6,
      ""travel_cost"": 82
    },
    {
      ""site_id"": ""F3"",
      ""resident_id"": 7,
      ""travel_cost"": 845
    },
    {
      ""site_id"": ""F3"",
      ""resident_id"": 8,
      ""travel_cost"": 253
    },
    {
      ""site_id"": ""F3"",
      ""resident_id"": 9,
      ""travel_cost"": 934
    },
    {
      ""site_id"": ""F3"",
      ""resident_id"": 10,
      ""travel_cost"": 874
    },
    {
      ""site_id"": ""F3"",
      ""resident_id"": 11,
      ""travel_cost"": 499
    },
    {
      ""site_id"": ""F3"",
      ""resident_id"": 12,
      ""travel_cost"": 477
    },
    {
      ""site_id"": ""F3"",
      ""resident_id"": 13,
      ""travel_cost"": 85
    },
    {
      ""site_id"": ""F3"",
      ""resident_id"": 14,
      ""travel_cost"": 177
    },
    {
      ""site_id"": ""F3"",
      ""resident_id"": 15,
      ""travel_cost"": 271
    },
    {
      ""site_id"": ""F3"",
      ""resident_id"": 16,
      ""travel_cost"": 751
    },
    {
      ""site_id"": ""F4"",
      ""resident_id"": 1,
      ""travel_cost"": 108
    },
    {
      ""site_id"": ""F4"",
      ""resident_id"": 2,
      ""travel_cost"": 341
    },
    {
      ""site_id"": ""F4"",
      ""resident_id"": 3,
      ""travel_cost"": 375
    },
    {
      ""site_id"": ""F4"",
      ""resident_id"": 4,
      ""travel_cost"": 38
    },
    {
      ""site_id"": ""F4"",
      ""resident_id"": 5,
      ""travel_cost"": 513
    },
    {
      ""site_id"": ""F4"",
      ""resident_id"": 6,
      ""travel_cost"": 554
    },
    {
      ""site_id"": ""F4"",
      ""resident_id"": 7,
      ""travel_cost"": 505
    },
    {
      ""site_id"": ""F4"",
      ""resident_id"": 8,
      ""travel_cost"": 498
    },
    {
      ""site_id"": ""F4"",
      ""resident_id"": 9,
      ""travel_cost"": 854
    },
    {
      ""site_id"": ""F4"",
      ""resident_id"": 10,
      ""travel_cost"": 816
    },
    {
      ""site_id"": ""F4"",
      ""resident_id"": 11,
      ""travel_cost"": 628
    },
    {
      ""site_id"": ""F4"",
      ""resident_id"": 12,
      ""travel_cost"": 864
    },
    {
      ""site_id"": ""F4"",
      ""resident_id"": 13,
      ""travel_cost"": 978
    },
    {
      ""site_id"": ""F4"",
      ""resident_id"": 14,
      ""travel_cost"": 718
    },
    {
      ""site_id"": ""F4"",
      ""resident_id"": 15,
      ""travel_cost"": 870
    },
    {
      ""site_id"": ""F4"",
      ""resident_id"": 16,
      ""travel_cost"": 620
    },
    {
      ""site_id"": ""F5"",
      ""resident_id"": 1,
      ""travel_cost"": 605
    },
    {
      ""site_id"": ""F5"",
      ""resident_id"": 2,
      ""travel_cost"": 491
    },
    {
      ""site_id"": ""F5"",
      ""resident_id"": 3,
      ""travel_cost"": 627
    },
    {
      ""site_id"": ""F5"",
      ""resident_id"": 4,
      ""travel_cost"": 208
    },
    {
      ""site_id"": ""F5"",
      ""resident_id"": 5,
      ""travel_cost"": 462
    },
    {
      ""site_id"": ""F5"",
      ""resident_id"": 6,
      ""travel_cost"": 218
    },
    {
      ""site_id"": ""F5"",
      ""resident_id"": 7,
      ""travel_cost"": 798
    },
    {
      ""site_id"": ""F5"",
      ""resident_id"": 8,
      ""travel_cost"": 396
    },
    {
      ""site_id"": ""F5"",
      ""resident_id"": 9,
      ""travel_cost"": 861
    },
    {
      ""site_id"": ""F5"",
      ""resident_id"": 10,
      ""travel_cost"": 7
    },
    {
      ""site_id"": ""F5"",
      ""resident_id"": 11,
      ""travel_cost"": 588
    },
    {
      ""site_id"": ""F5"",
      ""resident_id"": 12,
      ""travel_cost"": 947
    },
    {
      ""site_id"": ""F5"",
      ""resident_id"": 13,
      ""travel_cost"": 253
    },
    {
      ""site_id"": ""F5"",
      ""resident_id"": 14,
      ""travel_cost"": 774
    },
    {
      ""site_id"": ""F5"",
      ""resident_id"": 15,
      ""travel_cost"": 548
    },
    {
      ""site_id"": ""F5"",
      ""resident_id"": 16,
      ""travel_cost"": 701
    },
    {
      ""site_id"": ""F6"",
      ""resident_id"": 1,
      ""travel_cost"": 455
    },
    {
      ""site_id"": ""F6"",
      ""resident_id"": 2,
      ""travel_cost"": 471
    },
    {
      ""site_id"": ""F6"",
      ""resident_id"": 3,
      ""travel_cost"": 482
    },
    {
      ""site_id"": ""F6"",
      ""resident_id"": 4,
      ""travel_cost"": 995
    },
    {
      ""site_id"": ""F6"",
      ""resident_id"": 5,
      ""travel_cost"": 395
    },
    {
      ""site_id"": ""F6"",
      ""resident_id"": 6,
      ""travel_cost"": 465
    },
    {
      ""site_id"": ""F6"",
      ""resident_id"": 7,
      ""travel_cost"": 185
    },
    {
      ""site_id"": ""F6"",
      ""resident_id"": 8,
      ""travel_cost"": 780
    },
    {
      ""site_id"": ""F6"",
      ""resident_id"": 9,
      ""travel_cost"": 211
    },
    {
      ""site_id"": ""F6"",
      ""resident_id"": 10,
      ""travel_cost"": 644
    },
    {
      ""site_id"": ""F6"",
      ""resident_id"": 11,
      ""travel_cost"": 77
    },
    {
      ""site_id"": ""F6"",
      ""resident_id"": 12,
      ""travel_cost"": 607
    },
    {
      ""site_id"": ""F6"",
      ""resident_id"": 13,
      ""travel_cost"": 969
    },
    {
      ""site_id"": ""F6"",
      ""resident_id"": 14,
      ""travel_cost"": 61
    },
    {
      ""site_id"": ""F6"",
      ""resident_id"": 15,
      ""travel_cost"": 73
    },
    {
      ""site_id"": ""F6"",
      ""resident_id"": 16,
      ""travel_cost"": 279
    }
  ]
}

Just send back your answer in this little JSON shape so I can read it programmatically — nothing fancy, just the keys below.

{
  ""solution"": {
    ""selected"": [<site_to_open>, <site_to_open>, ...],
    ""assignments"": [<chosen_open_site>, <chosen_open_site>, ...]
  }
}

""selected"" is where you list the vaccination sites you choose to operate. ""assignments"" is a list, in the same order as the residents in the instance, saying which chosen site each resident will go to. Think of it like filling out a simple form: which sites are open, and which site each person is assigned to.

This JSON is just a sketch of the expected shape — please return the actual choices and assignments when you answer.

All identifiers must be used exactly as they appear in the instance input — no renaming and no new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'opening_costs': [2000, 2000, 2000, 2000, 2000, 2000], 'connection_costs': [[286, 765, 429, 190, 742, 648, 647, 806, 351, 610, 904, 805, 81, 662, 934, 398], [288, 446, 410, 213, 623, 362, 980, 97, 969, 603, 864, 967, 275, 711, 576, 920], [529, 690, 319, 281, 606, 82, 845, 253, 934, 874, 499, 477, 85, 177, 271, 751], [108, 341, 375, 38, 513, 554, 505, 498, 854, 816, 628, 864, 978, 718, 870, 620], [605, 491, 627, 208, 462, 218, 798, 396, 861, 7, 588, 947, 253, 774, 548, 701], [455, 471, 482, 995, 395, 465, 185, 780, 211, 644, 77, 607, 969, 61, 73, 279]], 'objective': 8348.0}","{'open_facilities': [2, 5], 'assignments': [5, 5, 2, 2, 5, 2, 5, 2, 5, 5, 5, 2, 2, 5, 5, 5]}",8348.0,"{'problem_type': 'UFLP', 'num_facilities': 6, 'num_customers': 16, 'facilities': [{'id': 'F1', 'opening_cost': 2000}, {'id': 'F2', 'opening_cost': 2000}, {'id': 'F3', 'opening_cost': 2000}, {'id': 'F4', 'opening_cost': 2000}, {'id': 'F5', 'opening_cost': 2000}, {'id': 'F6', 'opening_cost': 2000}], 'customers': [{'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}, {'id': 16}], 'connection_costs': [{'facility': 'F1', 'customer': 1, 'cost': 286}, {'facility': 'F1', 'customer': 2, 'cost': 765}, {'facility': 'F1', 'customer': 3, 'cost': 429}, {'facility': 'F1', 'customer': 4, 'cost': 190}, {'facility': 'F1', 'customer': 5, 'cost': 742}, {'facility': 'F1', 'customer': 6, 'cost': 648}, {'facility': 'F1', 'customer': 7, 'cost': 647}, {'facility': 'F1', 'customer': 8, 'cost': 806}, {'facility': 'F1', 'customer': 9, 'cost': 351}, {'facility': 'F1', 'customer': 10, 'cost': 610}, {'facility': 'F1', 'customer': 11, 'cost': 904}, {'facility': 'F1', 'customer': 12, 'cost': 805}, {'facility': 'F1', 'customer': 13, 'cost': 81}, {'facility': 'F1', 'customer': 14, 'cost': 662}, {'facility': 'F1', 'customer': 15, 'cost': 934}, {'facility': 'F1', 'customer': 16, 'cost': 398}, {'facility': 'F2', 'customer': 1, 'cost': 288}, {'facility': 'F2', 'customer': 2, 'cost': 446}, {'facility': 'F2', 'customer': 3, 'cost': 410}, {'facility': 'F2', 'customer': 4, 'cost': 213}, {'facility': 'F2', 'customer': 5, 'cost': 623}, {'facility': 'F2', 'customer': 6, 'cost': 362}, {'facility': 'F2', 'customer': 7, 'cost': 980}, {'facility': 'F2', 'customer': 8, 'cost': 97}, {'facility': 'F2', 'customer': 9, 'cost': 969}, {'facility': 'F2', 'customer': 10, 'cost': 603}, {'facility': 'F2', 'customer': 11, 'cost': 864}, {'facility': 'F2', 'customer': 12, 'cost': 967}, {'facility': 'F2', 'customer': 13, 'cost': 275}, {'facility': 'F2', 'customer': 14, 'cost': 711}, {'facility': 'F2', 'customer': 15, 'cost': 576}, {'facility': 'F2', 'customer': 16, 'cost': 920}, {'facility': 'F3', 'customer': 1, 'cost': 529}, {'facility': 'F3', 'customer': 2, 'cost': 690}, {'facility': 'F3', 'customer': 3, 'cost': 319}, {'facility': 'F3', 'customer': 4, 'cost': 281}, {'facility': 'F3', 'customer': 5, 'cost': 606}, {'facility': 'F3', 'customer': 6, 'cost': 82}, {'facility': 'F3', 'customer': 7, 'cost': 845}, {'facility': 'F3', 'customer': 8, 'cost': 253}, {'facility': 'F3', 'customer': 9, 'cost': 934}, {'facility': 'F3', 'customer': 10, 'cost': 874}, {'facility': 'F3', 'customer': 11, 'cost': 499}, {'facility': 'F3', 'customer': 12, 'cost': 477}, {'facility': 'F3', 'customer': 13, 'cost': 85}, {'facility': 'F3', 'customer': 14, 'cost': 177}, {'facility': 'F3', 'customer': 15, 'cost': 271}, {'facility': 'F3', 'customer': 16, 'cost': 751}, {'facility': 'F4', 'customer': 1, 'cost': 108}, {'facility': 'F4', 'customer': 2, 'cost': 341}, {'facility': 'F4', 'customer': 3, 'cost': 375}, {'facility': 'F4', 'customer': 4, 'cost': 38}, {'facility': 'F4', 'customer': 5, 'cost': 513}, {'facility': 'F4', 'customer': 6, 'cost': 554}, {'facility': 'F4', 'customer': 7, 'cost': 505}, {'facility': 'F4', 'customer': 8, 'cost': 498}, {'facility': 'F4', 'customer': 9, 'cost': 854}, {'facility': 'F4', 'customer': 10, 'cost': 816}, {'facility': 'F4', 'customer': 11, 'cost': 628}, {'facility': 'F4', 'customer': 12, 'cost': 864}, {'facility': 'F4', 'customer': 13, 'cost': 978}, {'facility': 'F4', 'customer': 14, 'cost': 718}, {'facility': 'F4', 'customer': 15, 'cost': 870}, {'facility': 'F4', 'customer': 16, 'cost': 620}, {'facility': 'F5', 'customer': 1, 'cost': 605}, {'facility': 'F5', 'customer': 2, 'cost': 491}, {'facility': 'F5', 'customer': 3, 'cost': 627}, {'facility': 'F5', 'customer': 4, 'cost': 208}, {'facility': 'F5', 'customer': 5, 'cost': 462}, {'facility': 'F5', 'customer': 6, 'cost': 218}, {'facility': 'F5', 'customer': 7, 'cost': 798}, {'facility': 'F5', 'customer': 8, 'cost': 396}, {'facility': 'F5', 'customer': 9, 'cost': 861}, {'facility': 'F5', 'customer': 10, 'cost': 7}, {'facility': 'F5', 'customer': 11, 'cost': 588}, {'facility': 'F5', 'customer': 12, 'cost': 947}, {'facility': 'F5', 'customer': 13, 'cost': 253}, {'facility': 'F5', 'customer': 14, 'cost': 774}, {'facility': 'F5', 'customer': 15, 'cost': 548}, {'facility': 'F5', 'customer': 16, 'cost': 701}, {'facility': 'F6', 'customer': 1, 'cost': 455}, {'facility': 'F6', 'customer': 2, 'cost': 471}, {'facility': 'F6', 'customer': 3, 'cost': 482}, {'facility': 'F6', 'customer': 4, 'cost': 995}, {'facility': 'F6', 'customer': 5, 'cost': 395}, {'facility': 'F6', 'customer': 6, 'cost': 465}, {'facility': 'F6', 'customer': 7, 'cost': 185}, {'facility': 'F6', 'customer': 8, 'cost': 780}, {'facility': 'F6', 'customer': 9, 'cost': 211}, {'facility': 'F6', 'customer': 10, 'cost': 644}, {'facility': 'F6', 'customer': 11, 'cost': 77}, {'facility': 'F6', 'customer': 12, 'cost': 607}, {'facility': 'F6', 'customer': 13, 'cost': 969}, {'facility': 'F6', 'customer': 14, 'cost': 61}, {'facility': 'F6', 'customer': 15, 'cost': 73}, {'facility': 'F6', 'customer': 16, 'cost': 279}], 'objective': 8348.0}","{'selected': ['F3', 'F6'], 'assignments': ['F6', 'F6', 'F3', 'F3', 'F6', 'F3', 'F6', 'F3', 'F6', 'F6', 'F6', 'F3', 'F3', 'F6', 'F6', 'F6']}",28,json,1
UFLP,UFLP,"I run a fleet of mobile pet groomers and have to pick which pop-up grooming tents to put up around town and then send every client to one of those tents. The trick is that each tent costs money to set up, and every client has a travel or pickup cost to get to the tent they use, so the better plan is the one that keeps the overall bill as low as possible — add up the setup fees for the tents that are put up plus the travel/pickup cost for every client. Each client has to be assigned to exactly one of the tents we actually set up (no one gets skipped and nobody goes to two places), and tents can handle as many pets as needed. The concrete details are shown below.

# num_candidate_tents=8
# num_clients=19
# TENTS
tent_id,tent_setup_cost
F1,2000
F2,2000
F3,2000
F4,2000
F5,2000
F6,2000
F7,2000
F8,2000
# CLIENTS
client_id
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
# CLIENT_TRAVELS
tent_id,client_id,client_travel_cost
F1,0,848
F1,1,323
F1,2,4
F1,3,631
F1,4,989
F1,5,863
F1,6,183
F1,7,468
F1,8,990
F1,9,618
F1,10,767
F1,11,60
F1,12,534
F1,13,522
F1,14,792
F1,15,292
F1,16,251
F1,17,243
F1,18,275
F2,0,988
F2,1,561
F2,2,317
F2,3,728
F2,4,584
F2,5,438
F2,6,423
F2,7,564
F2,8,369
F2,9,104
F2,10,139
F2,11,230
F2,12,396
F2,13,664
F2,14,470
F2,15,177
F2,16,63
F2,17,511
F2,18,43
F3,0,80
F3,1,124
F3,2,266
F3,3,508
F3,4,865
F3,5,86
F3,6,616
F3,7,201
F3,8,44
F3,9,310
F3,10,962
F3,11,769
F3,12,100
F3,13,662
F3,14,515
F3,15,935
F3,16,631
F3,17,468
F3,18,371
F4,0,926
F4,1,817
F4,2,798
F4,3,497
F4,4,151
F4,5,387
F4,6,356
F4,7,278
F4,8,894
F4,9,284
F4,10,967
F4,11,104
F4,12,201
F4,13,785
F4,14,484
F4,15,737
F4,16,144
F4,17,873
F4,18,844
F5,0,12
F5,1,696
F5,2,443
F5,3,812
F5,4,436
F5,5,278
F5,6,672
F5,7,517
F5,8,825
F5,9,514
F5,10,937
F5,11,217
F5,12,284
F5,13,613
F5,14,14
F5,15,278
F5,16,115
F5,17,737
F5,18,127
F6,0,564
F6,1,811
F6,2,950
F6,3,823
F6,4,200
F6,5,954
F6,6,537
F6,7,415
F6,8,224
F6,9,715
F6,10,54
F6,11,271
F6,12,195
F6,13,1
F6,14,751
F6,15,1
F6,16,976
F6,17,966
F6,18,481
F7,0,681
F7,1,194
F7,2,78
F7,3,68
F7,4,421
F7,5,677
F7,6,837
F7,7,618
F7,8,645
F7,9,158
F7,10,787
F7,11,57
F7,12,276
F7,13,34
F7,14,56
F7,15,244
F7,16,372
F7,17,891
F7,18,820
F8,0,53
F8,1,275
F8,2,433
F8,3,730
F8,4,415
F8,5,771
F8,6,88
F8,7,553
F8,8,442
F8,9,32
F8,10,235
F8,11,24
F8,12,449
F8,13,773
F8,14,498
F8,15,892
F8,16,343
F8,17,463
F8,18,762

Also, just so everything comes back to me in a predictable shape, please put the plan in this little JSON layout when you reply — just the same structure, nice and simple:

{
  ""solution"": {
    ""selected"": [<tent_to_open>, <tent_to_open>, ...],
    ""assignments"": [<chosen_open_tent>, <chosen_open_tent>, ...]
  }
}

""selected"" is where you list the tents you decide to set up. ""assignments"" is a client-by-client list (in the same order as the input) saying which opened tent each client will go to. Think of it like filling out a short form: which tents are up, and for every client which tent they use.

This JSON is just a sketch of the expected shape — not the actual answer itself.

Please make sure to use the exact identifiers from the instance input when you fill this in — don't rename them or invent new labels. 
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'opening_costs': [2000, 2000, 2000, 2000, 2000, 2000, 2000, 2000], 'connection_costs': [[848, 323, 4, 631, 989, 863, 183, 468, 990, 618, 767, 60, 534, 522, 792, 292, 251, 243, 275], [988, 561, 317, 728, 584, 438, 423, 564, 369, 104, 139, 230, 396, 664, 470, 177, 63, 511, 43], [80, 124, 266, 508, 865, 86, 616, 201, 44, 310, 962, 769, 100, 662, 515, 935, 631, 468, 371], [926, 817, 798, 497, 151, 387, 356, 278, 894, 284, 967, 104, 201, 785, 484, 737, 144, 873, 844], [12, 696, 443, 812, 436, 278, 672, 517, 825, 514, 937, 217, 284, 613, 14, 278, 115, 737, 127], [564, 811, 950, 823, 200, 954, 537, 415, 224, 715, 54, 271, 195, 1, 751, 1, 976, 966, 481], [681, 194, 78, 68, 421, 677, 837, 618, 645, 158, 787, 57, 276, 34, 56, 244, 372, 891, 820], [53, 275, 433, 730, 415, 771, 88, 553, 442, 32, 235, 24, 449, 773, 498, 892, 343, 463, 762]], 'objective': 8365.0}","{'open_facilities': [2, 6], 'assignments': [2, 2, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6, 2, 6, 6, 6, 6, 2, 2]}",8365.0,"{'problem_type': 'UFLP', 'num_facilities': 8, 'num_customers': 19, 'facilities': [{'id': 'F1', 'opening_cost': 2000}, {'id': 'F2', 'opening_cost': 2000}, {'id': 'F3', 'opening_cost': 2000}, {'id': 'F4', 'opening_cost': 2000}, {'id': 'F5', 'opening_cost': 2000}, {'id': 'F6', 'opening_cost': 2000}, {'id': 'F7', 'opening_cost': 2000}, {'id': 'F8', 'opening_cost': 2000}], 'customers': [{'id': 0}, {'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}, {'id': 16}, {'id': 17}, {'id': 18}], 'connection_costs': [{'facility': 'F1', 'customer': 0, 'cost': 848}, {'facility': 'F1', 'customer': 1, 'cost': 323}, {'facility': 'F1', 'customer': 2, 'cost': 4}, {'facility': 'F1', 'customer': 3, 'cost': 631}, {'facility': 'F1', 'customer': 4, 'cost': 989}, {'facility': 'F1', 'customer': 5, 'cost': 863}, {'facility': 'F1', 'customer': 6, 'cost': 183}, {'facility': 'F1', 'customer': 7, 'cost': 468}, {'facility': 'F1', 'customer': 8, 'cost': 990}, {'facility': 'F1', 'customer': 9, 'cost': 618}, {'facility': 'F1', 'customer': 10, 'cost': 767}, {'facility': 'F1', 'customer': 11, 'cost': 60}, {'facility': 'F1', 'customer': 12, 'cost': 534}, {'facility': 'F1', 'customer': 13, 'cost': 522}, {'facility': 'F1', 'customer': 14, 'cost': 792}, {'facility': 'F1', 'customer': 15, 'cost': 292}, {'facility': 'F1', 'customer': 16, 'cost': 251}, {'facility': 'F1', 'customer': 17, 'cost': 243}, {'facility': 'F1', 'customer': 18, 'cost': 275}, {'facility': 'F2', 'customer': 0, 'cost': 988}, {'facility': 'F2', 'customer': 1, 'cost': 561}, {'facility': 'F2', 'customer': 2, 'cost': 317}, {'facility': 'F2', 'customer': 3, 'cost': 728}, {'facility': 'F2', 'customer': 4, 'cost': 584}, {'facility': 'F2', 'customer': 5, 'cost': 438}, {'facility': 'F2', 'customer': 6, 'cost': 423}, {'facility': 'F2', 'customer': 7, 'cost': 564}, {'facility': 'F2', 'customer': 8, 'cost': 369}, {'facility': 'F2', 'customer': 9, 'cost': 104}, {'facility': 'F2', 'customer': 10, 'cost': 139}, {'facility': 'F2', 'customer': 11, 'cost': 230}, {'facility': 'F2', 'customer': 12, 'cost': 396}, {'facility': 'F2', 'customer': 13, 'cost': 664}, {'facility': 'F2', 'customer': 14, 'cost': 470}, {'facility': 'F2', 'customer': 15, 'cost': 177}, {'facility': 'F2', 'customer': 16, 'cost': 63}, {'facility': 'F2', 'customer': 17, 'cost': 511}, {'facility': 'F2', 'customer': 18, 'cost': 43}, {'facility': 'F3', 'customer': 0, 'cost': 80}, {'facility': 'F3', 'customer': 1, 'cost': 124}, {'facility': 'F3', 'customer': 2, 'cost': 266}, {'facility': 'F3', 'customer': 3, 'cost': 508}, {'facility': 'F3', 'customer': 4, 'cost': 865}, {'facility': 'F3', 'customer': 5, 'cost': 86}, {'facility': 'F3', 'customer': 6, 'cost': 616}, {'facility': 'F3', 'customer': 7, 'cost': 201}, {'facility': 'F3', 'customer': 8, 'cost': 44}, {'facility': 'F3', 'customer': 9, 'cost': 310}, {'facility': 'F3', 'customer': 10, 'cost': 962}, {'facility': 'F3', 'customer': 11, 'cost': 769}, {'facility': 'F3', 'customer': 12, 'cost': 100}, {'facility': 'F3', 'customer': 13, 'cost': 662}, {'facility': 'F3', 'customer': 14, 'cost': 515}, {'facility': 'F3', 'customer': 15, 'cost': 935}, {'facility': 'F3', 'customer': 16, 'cost': 631}, {'facility': 'F3', 'customer': 17, 'cost': 468}, {'facility': 'F3', 'customer': 18, 'cost': 371}, {'facility': 'F4', 'customer': 0, 'cost': 926}, {'facility': 'F4', 'customer': 1, 'cost': 817}, {'facility': 'F4', 'customer': 2, 'cost': 798}, {'facility': 'F4', 'customer': 3, 'cost': 497}, {'facility': 'F4', 'customer': 4, 'cost': 151}, {'facility': 'F4', 'customer': 5, 'cost': 387}, {'facility': 'F4', 'customer': 6, 'cost': 356}, {'facility': 'F4', 'customer': 7, 'cost': 278}, {'facility': 'F4', 'customer': 8, 'cost': 894}, {'facility': 'F4', 'customer': 9, 'cost': 284}, {'facility': 'F4', 'customer': 10, 'cost': 967}, {'facility': 'F4', 'customer': 11, 'cost': 104}, {'facility': 'F4', 'customer': 12, 'cost': 201}, {'facility': 'F4', 'customer': 13, 'cost': 785}, {'facility': 'F4', 'customer': 14, 'cost': 484}, {'facility': 'F4', 'customer': 15, 'cost': 737}, {'facility': 'F4', 'customer': 16, 'cost': 144}, {'facility': 'F4', 'customer': 17, 'cost': 873}, {'facility': 'F4', 'customer': 18, 'cost': 844}, {'facility': 'F5', 'customer': 0, 'cost': 12}, {'facility': 'F5', 'customer': 1, 'cost': 696}, {'facility': 'F5', 'customer': 2, 'cost': 443}, {'facility': 'F5', 'customer': 3, 'cost': 812}, {'facility': 'F5', 'customer': 4, 'cost': 436}, {'facility': 'F5', 'customer': 5, 'cost': 278}, {'facility': 'F5', 'customer': 6, 'cost': 672}, {'facility': 'F5', 'customer': 7, 'cost': 517}, {'facility': 'F5', 'customer': 8, 'cost': 825}, {'facility': 'F5', 'customer': 9, 'cost': 514}, {'facility': 'F5', 'customer': 10, 'cost': 937}, {'facility': 'F5', 'customer': 11, 'cost': 217}, {'facility': 'F5', 'customer': 12, 'cost': 284}, {'facility': 'F5', 'customer': 13, 'cost': 613}, {'facility': 'F5', 'customer': 14, 'cost': 14}, {'facility': 'F5', 'customer': 15, 'cost': 278}, {'facility': 'F5', 'customer': 16, 'cost': 115}, {'facility': 'F5', 'customer': 17, 'cost': 737}, {'facility': 'F5', 'customer': 18, 'cost': 127}, {'facility': 'F6', 'customer': 0, 'cost': 564}, {'facility': 'F6', 'customer': 1, 'cost': 811}, {'facility': 'F6', 'customer': 2, 'cost': 950}, {'facility': 'F6', 'customer': 3, 'cost': 823}, {'facility': 'F6', 'customer': 4, 'cost': 200}, {'facility': 'F6', 'customer': 5, 'cost': 954}, {'facility': 'F6', 'customer': 6, 'cost': 537}, {'facility': 'F6', 'customer': 7, 'cost': 415}, {'facility': 'F6', 'customer': 8, 'cost': 224}, {'facility': 'F6', 'customer': 9, 'cost': 715}, {'facility': 'F6', 'customer': 10, 'cost': 54}, {'facility': 'F6', 'customer': 11, 'cost': 271}, {'facility': 'F6', 'customer': 12, 'cost': 195}, {'facility': 'F6', 'customer': 13, 'cost': 1}, {'facility': 'F6', 'customer': 14, 'cost': 751}, {'facility': 'F6', 'customer': 15, 'cost': 1}, {'facility': 'F6', 'customer': 16, 'cost': 976}, {'facility': 'F6', 'customer': 17, 'cost': 966}, {'facility': 'F6', 'customer': 18, 'cost': 481}, {'facility': 'F7', 'customer': 0, 'cost': 681}, {'facility': 'F7', 'customer': 1, 'cost': 194}, {'facility': 'F7', 'customer': 2, 'cost': 78}, {'facility': 'F7', 'customer': 3, 'cost': 68}, {'facility': 'F7', 'customer': 4, 'cost': 421}, {'facility': 'F7', 'customer': 5, 'cost': 677}, {'facility': 'F7', 'customer': 6, 'cost': 837}, {'facility': 'F7', 'customer': 7, 'cost': 618}, {'facility': 'F7', 'customer': 8, 'cost': 645}, {'facility': 'F7', 'customer': 9, 'cost': 158}, {'facility': 'F7', 'customer': 10, 'cost': 787}, {'facility': 'F7', 'customer': 11, 'cost': 57}, {'facility': 'F7', 'customer': 12, 'cost': 276}, {'facility': 'F7', 'customer': 13, 'cost': 34}, {'facility': 'F7', 'customer': 14, 'cost': 56}, {'facility': 'F7', 'customer': 15, 'cost': 244}, {'facility': 'F7', 'customer': 16, 'cost': 372}, {'facility': 'F7', 'customer': 17, 'cost': 891}, {'facility': 'F7', 'customer': 18, 'cost': 820}, {'facility': 'F8', 'customer': 0, 'cost': 53}, {'facility': 'F8', 'customer': 1, 'cost': 275}, {'facility': 'F8', 'customer': 2, 'cost': 433}, {'facility': 'F8', 'customer': 3, 'cost': 730}, {'facility': 'F8', 'customer': 4, 'cost': 415}, {'facility': 'F8', 'customer': 5, 'cost': 771}, {'facility': 'F8', 'customer': 6, 'cost': 88}, {'facility': 'F8', 'customer': 7, 'cost': 553}, {'facility': 'F8', 'customer': 8, 'cost': 442}, {'facility': 'F8', 'customer': 9, 'cost': 32}, {'facility': 'F8', 'customer': 10, 'cost': 235}, {'facility': 'F8', 'customer': 11, 'cost': 24}, {'facility': 'F8', 'customer': 12, 'cost': 449}, {'facility': 'F8', 'customer': 13, 'cost': 773}, {'facility': 'F8', 'customer': 14, 'cost': 498}, {'facility': 'F8', 'customer': 15, 'cost': 892}, {'facility': 'F8', 'customer': 16, 'cost': 343}, {'facility': 'F8', 'customer': 17, 'cost': 463}, {'facility': 'F8', 'customer': 18, 'cost': 762}], 'objective': 8365.0}","{'selected': ['F3', 'F7'], 'assignments': ['F3', 'F3', 'F7', 'F7', 'F7', 'F3', 'F3', 'F3', 'F3', 'F7', 'F7', 'F7', 'F3', 'F7', 'F7', 'F7', 'F7', 'F3', 'F3']}",29,csv,0
UFLP,UFLP,"I’m looking after the city’s waste dropoff network and need to choose which pickup sites to keep open and which to close. Each site kept costs money to maintain, and every household has some effort or travel distance to get to whichever site they use. A good plan is simply one that costs less overall: add up the upkeep costs for the sites that stay open plus the travel burden for every household to its assigned site, and keep that total as small as possible. Every household has to be assigned to exactly one of the sites that are kept open — nobody can be left without a dropoff or sent to a closed one. The exact list of sites, their maintenance fees, and household travel numbers are shown below.

There are 9 dropoff sites and 20 households in this instance.

**Dropoff Sites**
| dropoff_site_id | site_maintenance_cost |
|---|---|
| F1 | 3128 |
| F2 | 3881 |
| F3 | 7348 |
| F4 | 9202 |
| F5 | 7407 |
| F6 | 1043 |
| F7 | 7632 |
| F8 | 1199 |
| F9 | 2240 |

**Households**
| household_id |
|---|
| 0 |
| 1 |
| 2 |
| 3 |
| 4 |
| 5 |
| 6 |
| 7 |
| 8 |
| 9 |
| 10 |
| 11 |
| 12 |
| 13 |
| 14 |
| 15 |
| 16 |
| 17 |
| 18 |
| 19 |

**Household Travel Cost**
| dropoff_site_id | household_id | household_travel_cost |
|---|---|---|
| F1 | 0 | 870 |
| F1 | 1 | 203 |
| F1 | 2 | 691 |
| F1 | 3 | 322 |
| F1 | 4 | 930 |
| F1 | 5 | 515 |
| F1 | 6 | 228 |
| F1 | 7 | 455 |
| F1 | 8 | 252 |
| F1 | 9 | 660 |
| F1 | 10 | 752 |
| F1 | 11 | 834 |
| F1 | 12 | 859 |
| F1 | 13 | 559 |
| F1 | 14 | 982 |
| F1 | 15 | 33 |
| F1 | 16 | 438 |
| F1 | 17 | 694 |
| F1 | 18 | 157 |
| F1 | 19 | 511 |
| F2 | 0 | 55 |
| F2 | 1 | 364 |
| F2 | 2 | 197 |
| F2 | 3 | 635 |
| F2 | 4 | 360 |
| F2 | 5 | 363 |
| F2 | 6 | 261 |
| F2 | 7 | 81 |
| F2 | 8 | 361 |
| F2 | 9 | 957 |
| F2 | 10 | 527 |
| F2 | 11 | 236 |
| F2 | 12 | 422 |
| F2 | 13 | 744 |
| F2 | 14 | 288 |
| F2 | 15 | 179 |
| F2 | 16 | 501 |
| F2 | 17 | 717 |
| F2 | 18 | 682 |
| F2 | 19 | 267 |
| F3 | 0 | 614 |
| F3 | 1 | 388 |
| F3 | 2 | 313 |
| F3 | 3 | 362 |
| F3 | 4 | 980 |
| F3 | 5 | 747 |
| F3 | 6 | 351 |
| F3 | 7 | 48 |
| F3 | 8 | 505 |
| F3 | 9 | 596 |
| F3 | 10 | 397 |
| F3 | 11 | 839 |
| F3 | 12 | 935 |
| F3 | 13 | 675 |
| F3 | 14 | 59 |
| F3 | 15 | 302 |
| F3 | 16 | 681 |
| F3 | 17 | 242 |
| F3 | 18 | 368 |
| F3 | 19 | 169 |
| F4 | 0 | 294 |
| F4 | 1 | 706 |
| F4 | 2 | 22 |
| F4 | 3 | 941 |
| F4 | 4 | 549 |
| F4 | 5 | 961 |
| F4 | 6 | 461 |
| F4 | 7 | 532 |
| F4 | 8 | 718 |
| F4 | 9 | 428 |
| F4 | 10 | 27 |
| F4 | 11 | 530 |
| F4 | 12 | 802 |
| F4 | 13 | 874 |
| F4 | 14 | 654 |
| F4 | 15 | 40 |
| F4 | 16 | 42 |
| F4 | 17 | 647 |
| F4 | 18 | 719 |
| F4 | 19 | 926 |
| F5 | 0 | 705 |
| F5 | 1 | 771 |
| F5 | 2 | 854 |
| F5 | 3 | 539 |
| F5 | 4 | 8 |
| F5 | 5 | 730 |
| F5 | 6 | 78 |
| F5 | 7 | 993 |
| F5 | 8 | 954 |
| F5 | 9 | 448 |
| F5 | 10 | 560 |
| F5 | 11 | 995 |
| F5 | 12 | 989 |
| F5 | 13 | 280 |
| F5 | 14 | 977 |
| F5 | 15 | 85 |
| F5 | 16 | 892 |
| F5 | 17 | 419 |
| F5 | 18 | 101 |
| F5 | 19 | 94 |
| F6 | 0 | 745 |
| F6 | 1 | 780 |
| F6 | 2 | 708 |
| F6 | 3 | 130 |
| F6 | 4 | 176 |
| F6 | 5 | 595 |
| F6 | 6 | 277 |
| F6 | 7 | 706 |
| F6 | 8 | 567 |
| F6 | 9 | 458 |
| F6 | 10 | 52 |
| F6 | 11 | 898 |
| F6 | 12 | 279 |
| F6 | 13 | 865 |
| F6 | 14 | 290 |
| F6 | 15 | 608 |
| F6 | 16 | 371 |
| F6 | 17 | 449 |
| F6 | 18 | 543 |
| F6 | 19 | 370 |
| F7 | 0 | 380 |
| F7 | 1 | 606 |
| F7 | 2 | 496 |
| F7 | 3 | 925 |
| F7 | 4 | 863 |
| F7 | 5 | 229 |
| F7 | 6 | 462 |
| F7 | 7 | 162 |
| F7 | 8 | 186 |
| F7 | 9 | 308 |
| F7 | 10 | 206 |
| F7 | 11 | 319 |
| F7 | 12 | 648 |
| F7 | 13 | 806 |
| F7 | 14 | 65 |
| F7 | 15 | 720 |
| F7 | 16 | 764 |
| F7 | 17 | 828 |
| F7 | 18 | 632 |
| F7 | 19 | 561 |
| F8 | 0 | 271 |
| F8 | 1 | 957 |
| F8 | 2 | 714 |
| F8 | 3 | 639 |
| F8 | 4 | 175 |
| F8 | 5 | 350 |
| F8 | 6 | 691 |
| F8 | 7 | 640 |
| F8 | 8 | 377 |
| F8 | 9 | 476 |
| F8 | 10 | 383 |
| F8 | 11 | 43 |
| F8 | 12 | 636 |
| F8 | 13 | 704 |
| F8 | 14 | 155 |
| F8 | 15 | 165 |
| F8 | 16 | 881 |
| F8 | 17 | 883 |
| F8 | 18 | 172 |
| F8 | 19 | 450 |
| F9 | 0 | 165 |
| F9 | 1 | 398 |
| F9 | 2 | 32 |
| F9 | 3 | 757 |
| F9 | 4 | 887 |
| F9 | 5 | 101 |
| F9 | 6 | 944 |
| F9 | 7 | 610 |
| F9 | 8 | 20 |
| F9 | 9 | 332 |
| F9 | 10 | 906 |
| F9 | 11 | 790 |
| F9 | 12 | 217 |
| F9 | 13 | 390 |
| F9 | 14 | 239 |
| F9 | 15 | 913 |
| F9 | 16 | 513 |
| F9 | 17 | 599 |
| F9 | 18 | 120 |
| F9 | 19 | 749 |

I’ll show the shape I want the answer in so it’s easy to read and plug into whatever tool you’re using. Keep the layout exactly like this:

{
  ""solution"": {
    ""selected"": [<site_to_open>, <site_to_open>, ...],
    ""assignments"": [<chosen_open_site>, <chosen_open_site>, ...]
  }
}

""selected"" is the list of pickup sites you’ll keep open. ""assignments"" lists, for each household in the same order as the input, which open site that household uses. This is just a sketch of the expected shape — not the real solution.

Please make sure all identifiers come straight from the instance and are not changed or invented. No renaming or new labels — use them exactly as given.

- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'opening_costs': [3128, 3881, 7348, 9202, 7407, 1043, 7632, 1199, 2240], 'connection_costs': [[870, 203, 691, 322, 930, 515, 228, 455, 252, 660, 752, 834, 859, 559, 982, 33, 438, 694, 157, 511], [55, 364, 197, 635, 360, 363, 261, 81, 361, 957, 527, 236, 422, 744, 288, 179, 501, 717, 682, 267], [614, 388, 313, 362, 980, 747, 351, 48, 505, 596, 397, 839, 935, 675, 59, 302, 681, 242, 368, 169], [294, 706, 22, 941, 549, 961, 461, 532, 718, 428, 27, 530, 802, 874, 654, 40, 42, 647, 719, 926], [705, 771, 854, 539, 8, 730, 78, 993, 954, 448, 560, 995, 989, 280, 977, 85, 892, 419, 101, 94], [745, 780, 708, 130, 176, 595, 277, 706, 567, 458, 52, 898, 279, 865, 290, 608, 371, 449, 543, 370], [380, 606, 496, 925, 863, 229, 462, 162, 186, 308, 206, 319, 648, 806, 65, 720, 764, 828, 632, 561], [271, 957, 714, 639, 175, 350, 691, 640, 377, 476, 383, 43, 636, 704, 155, 165, 881, 883, 172, 450], [165, 398, 32, 757, 887, 101, 944, 610, 20, 332, 906, 790, 217, 390, 239, 913, 513, 599, 120, 749]], 'objective': 9054.0}","{'open_facilities': [5, 7, 8], 'assignments': [8, 8, 8, 5, 7, 8, 5, 8, 8, 8, 5, 7, 8, 8, 7, 7, 5, 5, 8, 5]}",9054.0,"{'problem_type': 'UFLP', 'num_facilities': 9, 'num_customers': 20, 'facilities': [{'id': 'F1', 'opening_cost': 3128}, {'id': 'F2', 'opening_cost': 3881}, {'id': 'F3', 'opening_cost': 7348}, {'id': 'F4', 'opening_cost': 9202}, {'id': 'F5', 'opening_cost': 7407}, {'id': 'F6', 'opening_cost': 1043}, {'id': 'F7', 'opening_cost': 7632}, {'id': 'F8', 'opening_cost': 1199}, {'id': 'F9', 'opening_cost': 2240}], 'customers': [{'id': 0}, {'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}, {'id': 16}, {'id': 17}, {'id': 18}, {'id': 19}], 'connection_costs': [{'facility': 'F1', 'customer': 0, 'cost': 870}, {'facility': 'F1', 'customer': 1, 'cost': 203}, {'facility': 'F1', 'customer': 2, 'cost': 691}, {'facility': 'F1', 'customer': 3, 'cost': 322}, {'facility': 'F1', 'customer': 4, 'cost': 930}, {'facility': 'F1', 'customer': 5, 'cost': 515}, {'facility': 'F1', 'customer': 6, 'cost': 228}, {'facility': 'F1', 'customer': 7, 'cost': 455}, {'facility': 'F1', 'customer': 8, 'cost': 252}, {'facility': 'F1', 'customer': 9, 'cost': 660}, {'facility': 'F1', 'customer': 10, 'cost': 752}, {'facility': 'F1', 'customer': 11, 'cost': 834}, {'facility': 'F1', 'customer': 12, 'cost': 859}, {'facility': 'F1', 'customer': 13, 'cost': 559}, {'facility': 'F1', 'customer': 14, 'cost': 982}, {'facility': 'F1', 'customer': 15, 'cost': 33}, {'facility': 'F1', 'customer': 16, 'cost': 438}, {'facility': 'F1', 'customer': 17, 'cost': 694}, {'facility': 'F1', 'customer': 18, 'cost': 157}, {'facility': 'F1', 'customer': 19, 'cost': 511}, {'facility': 'F2', 'customer': 0, 'cost': 55}, {'facility': 'F2', 'customer': 1, 'cost': 364}, {'facility': 'F2', 'customer': 2, 'cost': 197}, {'facility': 'F2', 'customer': 3, 'cost': 635}, {'facility': 'F2', 'customer': 4, 'cost': 360}, {'facility': 'F2', 'customer': 5, 'cost': 363}, {'facility': 'F2', 'customer': 6, 'cost': 261}, {'facility': 'F2', 'customer': 7, 'cost': 81}, {'facility': 'F2', 'customer': 8, 'cost': 361}, {'facility': 'F2', 'customer': 9, 'cost': 957}, {'facility': 'F2', 'customer': 10, 'cost': 527}, {'facility': 'F2', 'customer': 11, 'cost': 236}, {'facility': 'F2', 'customer': 12, 'cost': 422}, {'facility': 'F2', 'customer': 13, 'cost': 744}, {'facility': 'F2', 'customer': 14, 'cost': 288}, {'facility': 'F2', 'customer': 15, 'cost': 179}, {'facility': 'F2', 'customer': 16, 'cost': 501}, {'facility': 'F2', 'customer': 17, 'cost': 717}, {'facility': 'F2', 'customer': 18, 'cost': 682}, {'facility': 'F2', 'customer': 19, 'cost': 267}, {'facility': 'F3', 'customer': 0, 'cost': 614}, {'facility': 'F3', 'customer': 1, 'cost': 388}, {'facility': 'F3', 'customer': 2, 'cost': 313}, {'facility': 'F3', 'customer': 3, 'cost': 362}, {'facility': 'F3', 'customer': 4, 'cost': 980}, {'facility': 'F3', 'customer': 5, 'cost': 747}, {'facility': 'F3', 'customer': 6, 'cost': 351}, {'facility': 'F3', 'customer': 7, 'cost': 48}, {'facility': 'F3', 'customer': 8, 'cost': 505}, {'facility': 'F3', 'customer': 9, 'cost': 596}, {'facility': 'F3', 'customer': 10, 'cost': 397}, {'facility': 'F3', 'customer': 11, 'cost': 839}, {'facility': 'F3', 'customer': 12, 'cost': 935}, {'facility': 'F3', 'customer': 13, 'cost': 675}, {'facility': 'F3', 'customer': 14, 'cost': 59}, {'facility': 'F3', 'customer': 15, 'cost': 302}, {'facility': 'F3', 'customer': 16, 'cost': 681}, {'facility': 'F3', 'customer': 17, 'cost': 242}, {'facility': 'F3', 'customer': 18, 'cost': 368}, {'facility': 'F3', 'customer': 19, 'cost': 169}, {'facility': 'F4', 'customer': 0, 'cost': 294}, {'facility': 'F4', 'customer': 1, 'cost': 706}, {'facility': 'F4', 'customer': 2, 'cost': 22}, {'facility': 'F4', 'customer': 3, 'cost': 941}, {'facility': 'F4', 'customer': 4, 'cost': 549}, {'facility': 'F4', 'customer': 5, 'cost': 961}, {'facility': 'F4', 'customer': 6, 'cost': 461}, {'facility': 'F4', 'customer': 7, 'cost': 532}, {'facility': 'F4', 'customer': 8, 'cost': 718}, {'facility': 'F4', 'customer': 9, 'cost': 428}, {'facility': 'F4', 'customer': 10, 'cost': 27}, {'facility': 'F4', 'customer': 11, 'cost': 530}, {'facility': 'F4', 'customer': 12, 'cost': 802}, {'facility': 'F4', 'customer': 13, 'cost': 874}, {'facility': 'F4', 'customer': 14, 'cost': 654}, {'facility': 'F4', 'customer': 15, 'cost': 40}, {'facility': 'F4', 'customer': 16, 'cost': 42}, {'facility': 'F4', 'customer': 17, 'cost': 647}, {'facility': 'F4', 'customer': 18, 'cost': 719}, {'facility': 'F4', 'customer': 19, 'cost': 926}, {'facility': 'F5', 'customer': 0, 'cost': 705}, {'facility': 'F5', 'customer': 1, 'cost': 771}, {'facility': 'F5', 'customer': 2, 'cost': 854}, {'facility': 'F5', 'customer': 3, 'cost': 539}, {'facility': 'F5', 'customer': 4, 'cost': 8}, {'facility': 'F5', 'customer': 5, 'cost': 730}, {'facility': 'F5', 'customer': 6, 'cost': 78}, {'facility': 'F5', 'customer': 7, 'cost': 993}, {'facility': 'F5', 'customer': 8, 'cost': 954}, {'facility': 'F5', 'customer': 9, 'cost': 448}, {'facility': 'F5', 'customer': 10, 'cost': 560}, {'facility': 'F5', 'customer': 11, 'cost': 995}, {'facility': 'F5', 'customer': 12, 'cost': 989}, {'facility': 'F5', 'customer': 13, 'cost': 280}, {'facility': 'F5', 'customer': 14, 'cost': 977}, {'facility': 'F5', 'customer': 15, 'cost': 85}, {'facility': 'F5', 'customer': 16, 'cost': 892}, {'facility': 'F5', 'customer': 17, 'cost': 419}, {'facility': 'F5', 'customer': 18, 'cost': 101}, {'facility': 'F5', 'customer': 19, 'cost': 94}, {'facility': 'F6', 'customer': 0, 'cost': 745}, {'facility': 'F6', 'customer': 1, 'cost': 780}, {'facility': 'F6', 'customer': 2, 'cost': 708}, {'facility': 'F6', 'customer': 3, 'cost': 130}, {'facility': 'F6', 'customer': 4, 'cost': 176}, {'facility': 'F6', 'customer': 5, 'cost': 595}, {'facility': 'F6', 'customer': 6, 'cost': 277}, {'facility': 'F6', 'customer': 7, 'cost': 706}, {'facility': 'F6', 'customer': 8, 'cost': 567}, {'facility': 'F6', 'customer': 9, 'cost': 458}, {'facility': 'F6', 'customer': 10, 'cost': 52}, {'facility': 'F6', 'customer': 11, 'cost': 898}, {'facility': 'F6', 'customer': 12, 'cost': 279}, {'facility': 'F6', 'customer': 13, 'cost': 865}, {'facility': 'F6', 'customer': 14, 'cost': 290}, {'facility': 'F6', 'customer': 15, 'cost': 608}, {'facility': 'F6', 'customer': 16, 'cost': 371}, {'facility': 'F6', 'customer': 17, 'cost': 449}, {'facility': 'F6', 'customer': 18, 'cost': 543}, {'facility': 'F6', 'customer': 19, 'cost': 370}, {'facility': 'F7', 'customer': 0, 'cost': 380}, {'facility': 'F7', 'customer': 1, 'cost': 606}, {'facility': 'F7', 'customer': 2, 'cost': 496}, {'facility': 'F7', 'customer': 3, 'cost': 925}, {'facility': 'F7', 'customer': 4, 'cost': 863}, {'facility': 'F7', 'customer': 5, 'cost': 229}, {'facility': 'F7', 'customer': 6, 'cost': 462}, {'facility': 'F7', 'customer': 7, 'cost': 162}, {'facility': 'F7', 'customer': 8, 'cost': 186}, {'facility': 'F7', 'customer': 9, 'cost': 308}, {'facility': 'F7', 'customer': 10, 'cost': 206}, {'facility': 'F7', 'customer': 11, 'cost': 319}, {'facility': 'F7', 'customer': 12, 'cost': 648}, {'facility': 'F7', 'customer': 13, 'cost': 806}, {'facility': 'F7', 'customer': 14, 'cost': 65}, {'facility': 'F7', 'customer': 15, 'cost': 720}, {'facility': 'F7', 'customer': 16, 'cost': 764}, {'facility': 'F7', 'customer': 17, 'cost': 828}, {'facility': 'F7', 'customer': 18, 'cost': 632}, {'facility': 'F7', 'customer': 19, 'cost': 561}, {'facility': 'F8', 'customer': 0, 'cost': 271}, {'facility': 'F8', 'customer': 1, 'cost': 957}, {'facility': 'F8', 'customer': 2, 'cost': 714}, {'facility': 'F8', 'customer': 3, 'cost': 639}, {'facility': 'F8', 'customer': 4, 'cost': 175}, {'facility': 'F8', 'customer': 5, 'cost': 350}, {'facility': 'F8', 'customer': 6, 'cost': 691}, {'facility': 'F8', 'customer': 7, 'cost': 640}, {'facility': 'F8', 'customer': 8, 'cost': 377}, {'facility': 'F8', 'customer': 9, 'cost': 476}, {'facility': 'F8', 'customer': 10, 'cost': 383}, {'facility': 'F8', 'customer': 11, 'cost': 43}, {'facility': 'F8', 'customer': 12, 'cost': 636}, {'facility': 'F8', 'customer': 13, 'cost': 704}, {'facility': 'F8', 'customer': 14, 'cost': 155}, {'facility': 'F8', 'customer': 15, 'cost': 165}, {'facility': 'F8', 'customer': 16, 'cost': 881}, {'facility': 'F8', 'customer': 17, 'cost': 883}, {'facility': 'F8', 'customer': 18, 'cost': 172}, {'facility': 'F8', 'customer': 19, 'cost': 450}, {'facility': 'F9', 'customer': 0, 'cost': 165}, {'facility': 'F9', 'customer': 1, 'cost': 398}, {'facility': 'F9', 'customer': 2, 'cost': 32}, {'facility': 'F9', 'customer': 3, 'cost': 757}, {'facility': 'F9', 'customer': 4, 'cost': 887}, {'facility': 'F9', 'customer': 5, 'cost': 101}, {'facility': 'F9', 'customer': 6, 'cost': 944}, {'facility': 'F9', 'customer': 7, 'cost': 610}, {'facility': 'F9', 'customer': 8, 'cost': 20}, {'facility': 'F9', 'customer': 9, 'cost': 332}, {'facility': 'F9', 'customer': 10, 'cost': 906}, {'facility': 'F9', 'customer': 11, 'cost': 790}, {'facility': 'F9', 'customer': 12, 'cost': 217}, {'facility': 'F9', 'customer': 13, 'cost': 390}, {'facility': 'F9', 'customer': 14, 'cost': 239}, {'facility': 'F9', 'customer': 15, 'cost': 913}, {'facility': 'F9', 'customer': 16, 'cost': 513}, {'facility': 'F9', 'customer': 17, 'cost': 599}, {'facility': 'F9', 'customer': 18, 'cost': 120}, {'facility': 'F9', 'customer': 19, 'cost': 749}], 'objective': 9054.0}","{'selected': ['F6', 'F8', 'F9'], 'assignments': ['F9', 'F9', 'F9', 'F6', 'F8', 'F9', 'F6', 'F9', 'F9', 'F9', 'F6', 'F8', 'F9', 'F9', 'F8', 'F8', 'F6', 'F6', 'F9', 'F6']}",30,markdown_table,0
UFLP,UFLP,"Many people assumed the answer was “turn on everything,” but the ops crew knew better: only some nodes should be enabled, and each user should be assigned to one enabled node. Switching on a node costs money, and each user routed pays a latency cost — the overall amount to watch is the sum of those activation fees plus the users’ latency costs, so a plan that lowers that sum wins. Each user needs a single assigned active node (no doubling up or leaving anyone out), and capacity isn’t a constraint. The specifics are given below.

{
  ""total_edge_nodes"": 7,
  ""total_users"": 16,
  ""nodes"": [
    {
      ""node_id"": ""F1"",
      ""node_activation_cost"": 2000
    },
    {
      ""node_id"": ""F2"",
      ""node_activation_cost"": 2000
    },
    {
      ""node_id"": ""F3"",
      ""node_activation_cost"": 2000
    },
    {
      ""node_id"": ""F4"",
      ""node_activation_cost"": 2000
    },
    {
      ""node_id"": ""F5"",
      ""node_activation_cost"": 2000
    },
    {
      ""node_id"": ""F6"",
      ""node_activation_cost"": 2000
    },
    {
      ""node_id"": ""F7"",
      ""node_activation_cost"": 2000
    }
  ],
  ""users"": [
    {
      ""user_id"": 0
    },
    {
      ""user_id"": 1
    },
    {
      ""user_id"": 2
    },
    {
      ""user_id"": 3
    },
    {
      ""user_id"": 4
    },
    {
      ""user_id"": 5
    },
    {
      ""user_id"": 6
    },
    {
      ""user_id"": 7
    },
    {
      ""user_id"": 8
    },
    {
      ""user_id"": 9
    },
    {
      ""user_id"": 10
    },
    {
      ""user_id"": 11
    },
    {
      ""user_id"": 12
    },
    {
      ""user_id"": 13
    },
    {
      ""user_id"": 14
    },
    {
      ""user_id"": 15
    }
  ],
  ""latencys"": [
    {
      ""node_id"": ""F1"",
      ""user_id"": 0,
      ""latency_cost"": 388
    },
    {
      ""node_id"": ""F1"",
      ""user_id"": 1,
      ""latency_cost"": 339
    },
    {
      ""node_id"": ""F1"",
      ""user_id"": 2,
      ""latency_cost"": 325
    },
    {
      ""node_id"": ""F1"",
      ""user_id"": 3,
      ""latency_cost"": 370
    },
    {
      ""node_id"": ""F1"",
      ""user_id"": 4,
      ""latency_cost"": 559
    },
    {
      ""node_id"": ""F1"",
      ""user_id"": 5,
      ""latency_cost"": 148
    },
    {
      ""node_id"": ""F1"",
      ""user_id"": 6,
      ""latency_cost"": 513
    },
    {
      ""node_id"": ""F1"",
      ""user_id"": 7,
      ""latency_cost"": 181
    },
    {
      ""node_id"": ""F1"",
      ""user_id"": 8,
      ""latency_cost"": 219
    },
    {
      ""node_id"": ""F1"",
      ""user_id"": 9,
      ""latency_cost"": 783
    },
    {
      ""node_id"": ""F1"",
      ""user_id"": 10,
      ""latency_cost"": 28
    },
    {
      ""node_id"": ""F1"",
      ""user_id"": 11,
      ""latency_cost"": 401
    },
    {
      ""node_id"": ""F1"",
      ""user_id"": 12,
      ""latency_cost"": 323
    },
    {
      ""node_id"": ""F1"",
      ""user_id"": 13,
      ""latency_cost"": 107
    },
    {
      ""node_id"": ""F1"",
      ""user_id"": 14,
      ""latency_cost"": 406
    },
    {
      ""node_id"": ""F1"",
      ""user_id"": 15,
      ""latency_cost"": 3
    },
    {
      ""node_id"": ""F2"",
      ""user_id"": 0,
      ""latency_cost"": 902
    },
    {
      ""node_id"": ""F2"",
      ""user_id"": 1,
      ""latency_cost"": 224
    },
    {
      ""node_id"": ""F2"",
      ""user_id"": 2,
      ""latency_cost"": 313
    },
    {
      ""node_id"": ""F2"",
      ""user_id"": 3,
      ""latency_cost"": 481
    },
    {
      ""node_id"": ""F2"",
      ""user_id"": 4,
      ""latency_cost"": 682
    },
    {
      ""node_id"": ""F2"",
      ""user_id"": 5,
      ""latency_cost"": 744
    },
    {
      ""node_id"": ""F2"",
      ""user_id"": 6,
      ""latency_cost"": 838
    },
    {
      ""node_id"": ""F2"",
      ""user_id"": 7,
      ""latency_cost"": 816
    },
    {
      ""node_id"": ""F2"",
      ""user_id"": 8,
      ""latency_cost"": 172
    },
    {
      ""node_id"": ""F2"",
      ""user_id"": 9,
      ""latency_cost"": 924
    },
    {
      ""node_id"": ""F2"",
      ""user_id"": 10,
      ""latency_cost"": 730
    },
    {
      ""node_id"": ""F2"",
      ""user_id"": 11,
      ""latency_cost"": 651
    },
    {
      ""node_id"": ""F2"",
      ""user_id"": 12,
      ""latency_cost"": 499
    },
    {
      ""node_id"": ""F2"",
      ""user_id"": 13,
      ""latency_cost"": 819
    },
    {
      ""node_id"": ""F2"",
      ""user_id"": 14,
      ""latency_cost"": 752
    },
    {
      ""node_id"": ""F2"",
      ""user_id"": 15,
      ""latency_cost"": 231
    },
    {
      ""node_id"": ""F3"",
      ""user_id"": 0,
      ""latency_cost"": 633
    },
    {
      ""node_id"": ""F3"",
      ""user_id"": 1,
      ""latency_cost"": 842
    },
    {
      ""node_id"": ""F3"",
      ""user_id"": 2,
      ""latency_cost"": 742
    },
    {
      ""node_id"": ""F3"",
      ""user_id"": 3,
      ""latency_cost"": 930
    },
    {
      ""node_id"": ""F3"",
      ""user_id"": 4,
      ""latency_cost"": 634
    },
    {
      ""node_id"": ""F3"",
      ""user_id"": 5,
      ""latency_cost"": 366
    },
    {
      ""node_id"": ""F3"",
      ""user_id"": 6,
      ""latency_cost"": 382
    },
    {
      ""node_id"": ""F3"",
      ""user_id"": 7,
      ""latency_cost"": 246
    },
    {
      ""node_id"": ""F3"",
      ""user_id"": 8,
      ""latency_cost"": 619
    },
    {
      ""node_id"": ""F3"",
      ""user_id"": 9,
      ""latency_cost"": 763
    },
    {
      ""node_id"": ""F3"",
      ""user_id"": 10,
      ""latency_cost"": 892
    },
    {
      ""node_id"": ""F3"",
      ""user_id"": 11,
      ""latency_cost"": 202
    },
    {
      ""node_id"": ""F3"",
      ""user_id"": 12,
      ""latency_cost"": 780
    },
    {
      ""node_id"": ""F3"",
      ""user_id"": 13,
      ""latency_cost"": 571
    },
    {
      ""node_id"": ""F3"",
      ""user_id"": 14,
      ""latency_cost"": 57
    },
    {
      ""node_id"": ""F3"",
      ""user_id"": 15,
      ""latency_cost"": 859
    },
    {
      ""node_id"": ""F4"",
      ""user_id"": 0,
      ""latency_cost"": 761
    },
    {
      ""node_id"": ""F4"",
      ""user_id"": 1,
      ""latency_cost"": 860
    },
    {
      ""node_id"": ""F4"",
      ""user_id"": 2,
      ""latency_cost"": 50
    },
    {
      ""node_id"": ""F4"",
      ""user_id"": 3,
      ""latency_cost"": 334
    },
    {
      ""node_id"": ""F4"",
      ""user_id"": 4,
      ""latency_cost"": 539
    },
    {
      ""node_id"": ""F4"",
      ""user_id"": 5,
      ""latency_cost"": 149
    },
    {
      ""node_id"": ""F4"",
      ""user_id"": 6,
      ""latency_cost"": 618
    },
    {
      ""node_id"": ""F4"",
      ""user_id"": 7,
      ""latency_cost"": 936
    },
    {
      ""node_id"": ""F4"",
      ""user_id"": 8,
      ""latency_cost"": 378
    },
    {
      ""node_id"": ""F4"",
      ""user_id"": 9,
      ""latency_cost"": 783
    },
    {
      ""node_id"": ""F4"",
      ""user_id"": 10,
      ""latency_cost"": 760
    },
    {
      ""node_id"": ""F4"",
      ""user_id"": 11,
      ""latency_cost"": 19
    },
    {
      ""node_id"": ""F4"",
      ""user_id"": 12,
      ""latency_cost"": 359
    },
    {
      ""node_id"": ""F4"",
      ""user_id"": 13,
      ""latency_cost"": 968
    },
    {
      ""node_id"": ""F4"",
      ""user_id"": 14,
      ""latency_cost"": 16
    },
    {
      ""node_id"": ""F4"",
      ""user_id"": 15,
      ""latency_cost"": 589
    },
    {
      ""node_id"": ""F5"",
      ""user_id"": 0,
      ""latency_cost"": 704
    },
    {
      ""node_id"": ""F5"",
      ""user_id"": 1,
      ""latency_cost"": 369
    },
    {
      ""node_id"": ""F5"",
      ""user_id"": 2,
      ""latency_cost"": 855
    },
    {
      ""node_id"": ""F5"",
      ""user_id"": 3,
      ""latency_cost"": 608
    },
    {
      ""node_id"": ""F5"",
      ""user_id"": 4,
      ""latency_cost"": 989
    },
    {
      ""node_id"": ""F5"",
      ""user_id"": 5,
      ""latency_cost"": 697
    },
    {
      ""node_id"": ""F5"",
      ""user_id"": 6,
      ""latency_cost"": 941
    },
    {
      ""node_id"": ""F5"",
      ""user_id"": 7,
      ""latency_cost"": 4
    },
    {
      ""node_id"": ""F5"",
      ""user_id"": 8,
      ""latency_cost"": 716
    },
    {
      ""node_id"": ""F5"",
      ""user_id"": 9,
      ""latency_cost"": 574
    },
    {
      ""node_id"": ""F5"",
      ""user_id"": 10,
      ""latency_cost"": 407
    },
    {
      ""node_id"": ""F5"",
      ""user_id"": 11,
      ""latency_cost"": 193
    },
    {
      ""node_id"": ""F5"",
      ""user_id"": 12,
      ""latency_cost"": 286
    },
    {
      ""node_id"": ""F5"",
      ""user_id"": 13,
      ""latency_cost"": 341
    },
    {
      ""node_id"": ""F5"",
      ""user_id"": 14,
      ""latency_cost"": 23
    },
    {
      ""node_id"": ""F5"",
      ""user_id"": 15,
      ""latency_cost"": 795
    },
    {
      ""node_id"": ""F6"",
      ""user_id"": 0,
      ""latency_cost"": 65
    },
    {
      ""node_id"": ""F6"",
      ""user_id"": 1,
      ""latency_cost"": 461
    },
    {
      ""node_id"": ""F6"",
      ""user_id"": 2,
      ""latency_cost"": 153
    },
    {
      ""node_id"": ""F6"",
      ""user_id"": 3,
      ""latency_cost"": 744
    },
    {
      ""node_id"": ""F6"",
      ""user_id"": 4,
      ""latency_cost"": 565
    },
    {
      ""node_id"": ""F6"",
      ""user_id"": 5,
      ""latency_cost"": 128
    },
    {
      ""node_id"": ""F6"",
      ""user_id"": 6,
      ""latency_cost"": 953
    },
    {
      ""node_id"": ""F6"",
      ""user_id"": 7,
      ""latency_cost"": 503
    },
    {
      ""node_id"": ""F6"",
      ""user_id"": 8,
      ""latency_cost"": 61
    },
    {
      ""node_id"": ""F6"",
      ""user_id"": 9,
      ""latency_cost"": 209
    },
    {
      ""node_id"": ""F6"",
      ""user_id"": 10,
      ""latency_cost"": 924
    },
    {
      ""node_id"": ""F6"",
      ""user_id"": 11,
      ""latency_cost"": 869
    },
    {
      ""node_id"": ""F6"",
      ""user_id"": 12,
      ""latency_cost"": 107
    },
    {
      ""node_id"": ""F6"",
      ""user_id"": 13,
      ""latency_cost"": 44
    },
    {
      ""node_id"": ""F6"",
      ""user_id"": 14,
      ""latency_cost"": 707
    },
    {
      ""node_id"": ""F6"",
      ""user_id"": 15,
      ""latency_cost"": 557
    },
    {
      ""node_id"": ""F7"",
      ""user_id"": 0,
      ""latency_cost"": 316
    },
    {
      ""node_id"": ""F7"",
      ""user_id"": 1,
      ""latency_cost"": 772
    },
    {
      ""node_id"": ""F7"",
      ""user_id"": 2,
      ""latency_cost"": 576
    },
    {
      ""node_id"": ""F7"",
      ""user_id"": 3,
      ""latency_cost"": 562
    },
    {
      ""node_id"": ""F7"",
      ""user_id"": 4,
      ""latency_cost"": 471
    },
    {
      ""node_id"": ""F7"",
      ""user_id"": 5,
      ""latency_cost"": 223
    },
    {
      ""node_id"": ""F7"",
      ""user_id"": 6,
      ""latency_cost"": 329
    },
    {
      ""node_id"": ""F7"",
      ""user_id"": 7,
      ""latency_cost"": 990
    },
    {
      ""node_id"": ""F7"",
      ""user_id"": 8,
      ""latency_cost"": 564
    },
    {
      ""node_id"": ""F7"",
      ""user_id"": 9,
      ""latency_cost"": 988
    },
    {
      ""node_id"": ""F7"",
      ""user_id"": 10,
      ""latency_cost"": 762
    },
    {
      ""node_id"": ""F7"",
      ""user_id"": 11,
      ""latency_cost"": 564
    },
    {
      ""node_id"": ""F7"",
      ""user_id"": 12,
      ""latency_cost"": 379
    },
    {
      ""node_id"": ""F7"",
      ""user_id"": 13,
      ""latency_cost"": 900
    },
    {
      ""node_id"": ""F7"",
      ""user_id"": 14,
      ""latency_cost"": 108
    },
    {
      ""node_id"": ""F7"",
      ""user_id"": 15,
      ""latency_cost"": 862
    }
  ]
}

If you want to reply with the plan, please stick to this simple JSON shape so it's easy to parse — just a tiny sketch of which nodes you turn on and who goes where.

{
  ""solution"": {
    ""selected"": [<node_to_enable>, <node_to_enable>, ...],
    ""assignments"": [<assigned_node>, <assigned_node>, ...]
  }
}

""selected"" is the list of nodes you switch on (the activation fees you pay). ""assignments"" is a per-user list — for each user in the same order as the input, put the one active node they're routed to. Think of it like filling out a short form: which nodes are enabled, and then, for each user, which enabled node they use. This JSON is just the expected shape — not the actual answer.

Please make sure to use the identifiers exactly as they appear in the instance input — do not rename them or invent new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'opening_costs': [2000, 2000, 2000, 2000, 2000, 2000, 2000], 'connection_costs': [[388, 339, 325, 370, 559, 148, 513, 181, 219, 783, 28, 401, 323, 107, 406, 3], [902, 224, 313, 481, 682, 744, 838, 816, 172, 924, 730, 651, 499, 819, 752, 231], [633, 842, 742, 930, 634, 366, 382, 246, 619, 763, 892, 202, 780, 571, 57, 859], [761, 860, 50, 334, 539, 149, 618, 936, 378, 783, 760, 19, 359, 968, 16, 589], [704, 369, 855, 608, 989, 697, 941, 4, 716, 574, 407, 193, 286, 341, 23, 795], [65, 461, 153, 744, 565, 128, 953, 503, 61, 209, 924, 869, 107, 44, 707, 557], [316, 772, 576, 562, 471, 223, 329, 990, 564, 988, 762, 564, 379, 900, 108, 862]], 'objective': 7093.0}","{'open_facilities': [0], 'assignments': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]}",7093.0,"{'problem_type': 'UFLP', 'num_facilities': 7, 'num_customers': 16, 'facilities': [{'id': 'F1', 'opening_cost': 2000}, {'id': 'F2', 'opening_cost': 2000}, {'id': 'F3', 'opening_cost': 2000}, {'id': 'F4', 'opening_cost': 2000}, {'id': 'F5', 'opening_cost': 2000}, {'id': 'F6', 'opening_cost': 2000}, {'id': 'F7', 'opening_cost': 2000}], 'customers': [{'id': 0}, {'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}], 'connection_costs': [{'facility': 'F1', 'customer': 0, 'cost': 388}, {'facility': 'F1', 'customer': 1, 'cost': 339}, {'facility': 'F1', 'customer': 2, 'cost': 325}, {'facility': 'F1', 'customer': 3, 'cost': 370}, {'facility': 'F1', 'customer': 4, 'cost': 559}, {'facility': 'F1', 'customer': 5, 'cost': 148}, {'facility': 'F1', 'customer': 6, 'cost': 513}, {'facility': 'F1', 'customer': 7, 'cost': 181}, {'facility': 'F1', 'customer': 8, 'cost': 219}, {'facility': 'F1', 'customer': 9, 'cost': 783}, {'facility': 'F1', 'customer': 10, 'cost': 28}, {'facility': 'F1', 'customer': 11, 'cost': 401}, {'facility': 'F1', 'customer': 12, 'cost': 323}, {'facility': 'F1', 'customer': 13, 'cost': 107}, {'facility': 'F1', 'customer': 14, 'cost': 406}, {'facility': 'F1', 'customer': 15, 'cost': 3}, {'facility': 'F2', 'customer': 0, 'cost': 902}, {'facility': 'F2', 'customer': 1, 'cost': 224}, {'facility': 'F2', 'customer': 2, 'cost': 313}, {'facility': 'F2', 'customer': 3, 'cost': 481}, {'facility': 'F2', 'customer': 4, 'cost': 682}, {'facility': 'F2', 'customer': 5, 'cost': 744}, {'facility': 'F2', 'customer': 6, 'cost': 838}, {'facility': 'F2', 'customer': 7, 'cost': 816}, {'facility': 'F2', 'customer': 8, 'cost': 172}, {'facility': 'F2', 'customer': 9, 'cost': 924}, {'facility': 'F2', 'customer': 10, 'cost': 730}, {'facility': 'F2', 'customer': 11, 'cost': 651}, {'facility': 'F2', 'customer': 12, 'cost': 499}, {'facility': 'F2', 'customer': 13, 'cost': 819}, {'facility': 'F2', 'customer': 14, 'cost': 752}, {'facility': 'F2', 'customer': 15, 'cost': 231}, {'facility': 'F3', 'customer': 0, 'cost': 633}, {'facility': 'F3', 'customer': 1, 'cost': 842}, {'facility': 'F3', 'customer': 2, 'cost': 742}, {'facility': 'F3', 'customer': 3, 'cost': 930}, {'facility': 'F3', 'customer': 4, 'cost': 634}, {'facility': 'F3', 'customer': 5, 'cost': 366}, {'facility': 'F3', 'customer': 6, 'cost': 382}, {'facility': 'F3', 'customer': 7, 'cost': 246}, {'facility': 'F3', 'customer': 8, 'cost': 619}, {'facility': 'F3', 'customer': 9, 'cost': 763}, {'facility': 'F3', 'customer': 10, 'cost': 892}, {'facility': 'F3', 'customer': 11, 'cost': 202}, {'facility': 'F3', 'customer': 12, 'cost': 780}, {'facility': 'F3', 'customer': 13, 'cost': 571}, {'facility': 'F3', 'customer': 14, 'cost': 57}, {'facility': 'F3', 'customer': 15, 'cost': 859}, {'facility': 'F4', 'customer': 0, 'cost': 761}, {'facility': 'F4', 'customer': 1, 'cost': 860}, {'facility': 'F4', 'customer': 2, 'cost': 50}, {'facility': 'F4', 'customer': 3, 'cost': 334}, {'facility': 'F4', 'customer': 4, 'cost': 539}, {'facility': 'F4', 'customer': 5, 'cost': 149}, {'facility': 'F4', 'customer': 6, 'cost': 618}, {'facility': 'F4', 'customer': 7, 'cost': 936}, {'facility': 'F4', 'customer': 8, 'cost': 378}, {'facility': 'F4', 'customer': 9, 'cost': 783}, {'facility': 'F4', 'customer': 10, 'cost': 760}, {'facility': 'F4', 'customer': 11, 'cost': 19}, {'facility': 'F4', 'customer': 12, 'cost': 359}, {'facility': 'F4', 'customer': 13, 'cost': 968}, {'facility': 'F4', 'customer': 14, 'cost': 16}, {'facility': 'F4', 'customer': 15, 'cost': 589}, {'facility': 'F5', 'customer': 0, 'cost': 704}, {'facility': 'F5', 'customer': 1, 'cost': 369}, {'facility': 'F5', 'customer': 2, 'cost': 855}, {'facility': 'F5', 'customer': 3, 'cost': 608}, {'facility': 'F5', 'customer': 4, 'cost': 989}, {'facility': 'F5', 'customer': 5, 'cost': 697}, {'facility': 'F5', 'customer': 6, 'cost': 941}, {'facility': 'F5', 'customer': 7, 'cost': 4}, {'facility': 'F5', 'customer': 8, 'cost': 716}, {'facility': 'F5', 'customer': 9, 'cost': 574}, {'facility': 'F5', 'customer': 10, 'cost': 407}, {'facility': 'F5', 'customer': 11, 'cost': 193}, {'facility': 'F5', 'customer': 12, 'cost': 286}, {'facility': 'F5', 'customer': 13, 'cost': 341}, {'facility': 'F5', 'customer': 14, 'cost': 23}, {'facility': 'F5', 'customer': 15, 'cost': 795}, {'facility': 'F6', 'customer': 0, 'cost': 65}, {'facility': 'F6', 'customer': 1, 'cost': 461}, {'facility': 'F6', 'customer': 2, 'cost': 153}, {'facility': 'F6', 'customer': 3, 'cost': 744}, {'facility': 'F6', 'customer': 4, 'cost': 565}, {'facility': 'F6', 'customer': 5, 'cost': 128}, {'facility': 'F6', 'customer': 6, 'cost': 953}, {'facility': 'F6', 'customer': 7, 'cost': 503}, {'facility': 'F6', 'customer': 8, 'cost': 61}, {'facility': 'F6', 'customer': 9, 'cost': 209}, {'facility': 'F6', 'customer': 10, 'cost': 924}, {'facility': 'F6', 'customer': 11, 'cost': 869}, {'facility': 'F6', 'customer': 12, 'cost': 107}, {'facility': 'F6', 'customer': 13, 'cost': 44}, {'facility': 'F6', 'customer': 14, 'cost': 707}, {'facility': 'F6', 'customer': 15, 'cost': 557}, {'facility': 'F7', 'customer': 0, 'cost': 316}, {'facility': 'F7', 'customer': 1, 'cost': 772}, {'facility': 'F7', 'customer': 2, 'cost': 576}, {'facility': 'F7', 'customer': 3, 'cost': 562}, {'facility': 'F7', 'customer': 4, 'cost': 471}, {'facility': 'F7', 'customer': 5, 'cost': 223}, {'facility': 'F7', 'customer': 6, 'cost': 329}, {'facility': 'F7', 'customer': 7, 'cost': 990}, {'facility': 'F7', 'customer': 8, 'cost': 564}, {'facility': 'F7', 'customer': 9, 'cost': 988}, {'facility': 'F7', 'customer': 10, 'cost': 762}, {'facility': 'F7', 'customer': 11, 'cost': 564}, {'facility': 'F7', 'customer': 12, 'cost': 379}, {'facility': 'F7', 'customer': 13, 'cost': 900}, {'facility': 'F7', 'customer': 14, 'cost': 108}, {'facility': 'F7', 'customer': 15, 'cost': 862}], 'objective': 7093.0}","{'selected': ['F1'], 'assignments': ['F1', 'F1', 'F1', 'F1', 'F1', 'F1', 'F1', 'F1', 'F1', 'F1', 'F1', 'F1', 'F1', 'F1', 'F1', 'F1']}",31,json,0
UFLP,UFLP,"Many people depend on our local meal pickup program, and part of running it is choosing which kitchens to turn on and deciding a single kitchen for each recipient. Turning on a kitchen costs a set amount, and getting a meal from that kitchen to a person has its own cost — the grand total is the sum of the kitchens we open plus all the individual pickup/delivery charges. Every recipient must be paired with one open kitchen (no doubles, no omissions), and open kitchens can take unlimited orders. The concrete numbers and options are listed below.

# total_kitchens=8
# total_recipients=16
# KITCHENS
kitchen_id,kitchen_opening_cost
F1,1000
F2,1000
F3,1000
F4,1000
F5,1000
F6,1000
F7,1000
F8,1000
# RECIPIENTS
recipient_id
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
# PICKUP_DELIVERYS
kitchen_id,recipient_id,pickup_delivery_cost
F1,A,794
F1,B,787
F1,C,433
F1,D,69
F1,E,356
F1,F,400
F1,G,979
F1,H,288
F1,I,337
F1,J,468
F1,K,85
F1,L,301
F1,M,538
F1,N,503
F1,O,960
F1,P,914
F2,A,596
F2,B,996
F2,C,932
F2,D,875
F2,E,298
F2,F,688
F2,G,356
F2,H,132
F2,I,778
F2,J,250
F2,K,116
F2,L,79
F2,M,869
F2,N,63
F2,O,89
F2,P,798
F3,A,648
F3,B,997
F3,C,758
F3,D,856
F3,E,422
F3,F,833
F3,G,54
F3,H,70
F3,I,817
F3,J,162
F3,K,764
F3,L,609
F3,M,599
F3,N,950
F3,O,135
F3,P,470
F4,A,797
F4,B,94
F4,C,659
F4,D,912
F4,E,246
F4,F,684
F4,G,924
F4,H,196
F4,I,208
F4,J,109
F4,K,693
F4,L,862
F4,M,994
F4,N,623
F4,O,378
F4,P,661
F5,A,425
F5,B,717
F5,C,690
F5,D,498
F5,E,165
F5,F,284
F5,G,104
F5,H,200
F5,I,920
F5,J,325
F5,K,621
F5,L,133
F5,M,155
F5,N,603
F5,O,280
F5,P,432
F6,A,882
F6,B,996
F6,C,972
F6,D,298
F6,E,5
F6,F,486
F6,G,554
F6,H,274
F6,I,101
F6,J,665
F6,K,368
F6,L,117
F6,M,92
F6,N,461
F6,O,163
F6,P,524
F7,A,319
F7,B,838
F7,C,42
F7,D,280
F7,E,498
F7,F,743
F7,G,62
F7,H,984
F7,I,745
F7,J,40
F7,K,497
F7,L,342
F7,M,538
F7,N,257
F7,O,687
F7,P,579
F8,A,16
F8,B,528
F8,C,80
F8,D,204
F8,E,408
F8,F,614
F8,G,460
F8,H,864
F8,I,966
F8,J,553
F8,K,239
F8,L,875
F8,M,999
F8,N,615
F8,O,758
F8,P,239

If you prefer a neat, copy-pastable format for the result, I'll use a tiny JSON sketch like this so it's easy to read and check:

{
  ""solution"": {
    ""selected"": [<kitchen_to_open>, <kitchen_to_open>, ...],
    ""assignments"": [<kitchen_chosen_for_recipient>, <kitchen_chosen_for_recipient>, ...]
  }
}

""selected"" is where I'll list the kitchens we decide to turn on. ""assignments"" is a list, one entry per recipient in the same order as the instance, showing which open kitchen each person will use. This is just the shape I’ll follow — not the final choices.

Please use the exact identifiers from the instance input for every entry — don't rename them or invent new labels. 
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'opening_costs': [1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000], 'connection_costs': [[794, 787, 433, 69, 356, 400, 979, 288, 337, 468, 85, 301, 538, 503, 960, 914], [596, 996, 932, 875, 298, 688, 356, 132, 778, 250, 116, 79, 869, 63, 89, 798], [648, 997, 758, 856, 422, 833, 54, 70, 817, 162, 764, 609, 599, 950, 135, 470], [797, 94, 659, 912, 246, 684, 924, 196, 208, 109, 693, 862, 994, 623, 378, 661], [425, 717, 690, 498, 165, 284, 104, 200, 920, 325, 621, 133, 155, 603, 280, 432], [882, 996, 972, 298, 5, 486, 554, 274, 101, 665, 368, 117, 92, 461, 163, 524], [319, 838, 42, 280, 498, 743, 62, 984, 745, 40, 497, 342, 538, 257, 687, 579], [16, 528, 80, 204, 408, 614, 460, 864, 966, 553, 239, 875, 999, 615, 758, 239]], 'objective': 5836.0}","{'open_facilities': [1, 5, 7], 'assignments': [7, 7, 7, 7, 5, 5, 1, 1, 5, 1, 1, 1, 5, 1, 1, 7]}",5836.0,"{'problem_type': 'UFLP', 'num_facilities': 8, 'num_customers': 16, 'facilities': [{'id': 'F1', 'opening_cost': 1000}, {'id': 'F2', 'opening_cost': 1000}, {'id': 'F3', 'opening_cost': 1000}, {'id': 'F4', 'opening_cost': 1000}, {'id': 'F5', 'opening_cost': 1000}, {'id': 'F6', 'opening_cost': 1000}, {'id': 'F7', 'opening_cost': 1000}, {'id': 'F8', 'opening_cost': 1000}], 'customers': [{'id': 'A'}, {'id': 'B'}, {'id': 'C'}, {'id': 'D'}, {'id': 'E'}, {'id': 'F'}, {'id': 'G'}, {'id': 'H'}, {'id': 'I'}, {'id': 'J'}, {'id': 'K'}, {'id': 'L'}, {'id': 'M'}, {'id': 'N'}, {'id': 'O'}, {'id': 'P'}], 'connection_costs': [{'facility': 'F1', 'customer': 'A', 'cost': 794}, {'facility': 'F1', 'customer': 'B', 'cost': 787}, {'facility': 'F1', 'customer': 'C', 'cost': 433}, {'facility': 'F1', 'customer': 'D', 'cost': 69}, {'facility': 'F1', 'customer': 'E', 'cost': 356}, {'facility': 'F1', 'customer': 'F', 'cost': 400}, {'facility': 'F1', 'customer': 'G', 'cost': 979}, {'facility': 'F1', 'customer': 'H', 'cost': 288}, {'facility': 'F1', 'customer': 'I', 'cost': 337}, {'facility': 'F1', 'customer': 'J', 'cost': 468}, {'facility': 'F1', 'customer': 'K', 'cost': 85}, {'facility': 'F1', 'customer': 'L', 'cost': 301}, {'facility': 'F1', 'customer': 'M', 'cost': 538}, {'facility': 'F1', 'customer': 'N', 'cost': 503}, {'facility': 'F1', 'customer': 'O', 'cost': 960}, {'facility': 'F1', 'customer': 'P', 'cost': 914}, {'facility': 'F2', 'customer': 'A', 'cost': 596}, {'facility': 'F2', 'customer': 'B', 'cost': 996}, {'facility': 'F2', 'customer': 'C', 'cost': 932}, {'facility': 'F2', 'customer': 'D', 'cost': 875}, {'facility': 'F2', 'customer': 'E', 'cost': 298}, {'facility': 'F2', 'customer': 'F', 'cost': 688}, {'facility': 'F2', 'customer': 'G', 'cost': 356}, {'facility': 'F2', 'customer': 'H', 'cost': 132}, {'facility': 'F2', 'customer': 'I', 'cost': 778}, {'facility': 'F2', 'customer': 'J', 'cost': 250}, {'facility': 'F2', 'customer': 'K', 'cost': 116}, {'facility': 'F2', 'customer': 'L', 'cost': 79}, {'facility': 'F2', 'customer': 'M', 'cost': 869}, {'facility': 'F2', 'customer': 'N', 'cost': 63}, {'facility': 'F2', 'customer': 'O', 'cost': 89}, {'facility': 'F2', 'customer': 'P', 'cost': 798}, {'facility': 'F3', 'customer': 'A', 'cost': 648}, {'facility': 'F3', 'customer': 'B', 'cost': 997}, {'facility': 'F3', 'customer': 'C', 'cost': 758}, {'facility': 'F3', 'customer': 'D', 'cost': 856}, {'facility': 'F3', 'customer': 'E', 'cost': 422}, {'facility': 'F3', 'customer': 'F', 'cost': 833}, {'facility': 'F3', 'customer': 'G', 'cost': 54}, {'facility': 'F3', 'customer': 'H', 'cost': 70}, {'facility': 'F3', 'customer': 'I', 'cost': 817}, {'facility': 'F3', 'customer': 'J', 'cost': 162}, {'facility': 'F3', 'customer': 'K', 'cost': 764}, {'facility': 'F3', 'customer': 'L', 'cost': 609}, {'facility': 'F3', 'customer': 'M', 'cost': 599}, {'facility': 'F3', 'customer': 'N', 'cost': 950}, {'facility': 'F3', 'customer': 'O', 'cost': 135}, {'facility': 'F3', 'customer': 'P', 'cost': 470}, {'facility': 'F4', 'customer': 'A', 'cost': 797}, {'facility': 'F4', 'customer': 'B', 'cost': 94}, {'facility': 'F4', 'customer': 'C', 'cost': 659}, {'facility': 'F4', 'customer': 'D', 'cost': 912}, {'facility': 'F4', 'customer': 'E', 'cost': 246}, {'facility': 'F4', 'customer': 'F', 'cost': 684}, {'facility': 'F4', 'customer': 'G', 'cost': 924}, {'facility': 'F4', 'customer': 'H', 'cost': 196}, {'facility': 'F4', 'customer': 'I', 'cost': 208}, {'facility': 'F4', 'customer': 'J', 'cost': 109}, {'facility': 'F4', 'customer': 'K', 'cost': 693}, {'facility': 'F4', 'customer': 'L', 'cost': 862}, {'facility': 'F4', 'customer': 'M', 'cost': 994}, {'facility': 'F4', 'customer': 'N', 'cost': 623}, {'facility': 'F4', 'customer': 'O', 'cost': 378}, {'facility': 'F4', 'customer': 'P', 'cost': 661}, {'facility': 'F5', 'customer': 'A', 'cost': 425}, {'facility': 'F5', 'customer': 'B', 'cost': 717}, {'facility': 'F5', 'customer': 'C', 'cost': 690}, {'facility': 'F5', 'customer': 'D', 'cost': 498}, {'facility': 'F5', 'customer': 'E', 'cost': 165}, {'facility': 'F5', 'customer': 'F', 'cost': 284}, {'facility': 'F5', 'customer': 'G', 'cost': 104}, {'facility': 'F5', 'customer': 'H', 'cost': 200}, {'facility': 'F5', 'customer': 'I', 'cost': 920}, {'facility': 'F5', 'customer': 'J', 'cost': 325}, {'facility': 'F5', 'customer': 'K', 'cost': 621}, {'facility': 'F5', 'customer': 'L', 'cost': 133}, {'facility': 'F5', 'customer': 'M', 'cost': 155}, {'facility': 'F5', 'customer': 'N', 'cost': 603}, {'facility': 'F5', 'customer': 'O', 'cost': 280}, {'facility': 'F5', 'customer': 'P', 'cost': 432}, {'facility': 'F6', 'customer': 'A', 'cost': 882}, {'facility': 'F6', 'customer': 'B', 'cost': 996}, {'facility': 'F6', 'customer': 'C', 'cost': 972}, {'facility': 'F6', 'customer': 'D', 'cost': 298}, {'facility': 'F6', 'customer': 'E', 'cost': 5}, {'facility': 'F6', 'customer': 'F', 'cost': 486}, {'facility': 'F6', 'customer': 'G', 'cost': 554}, {'facility': 'F6', 'customer': 'H', 'cost': 274}, {'facility': 'F6', 'customer': 'I', 'cost': 101}, {'facility': 'F6', 'customer': 'J', 'cost': 665}, {'facility': 'F6', 'customer': 'K', 'cost': 368}, {'facility': 'F6', 'customer': 'L', 'cost': 117}, {'facility': 'F6', 'customer': 'M', 'cost': 92}, {'facility': 'F6', 'customer': 'N', 'cost': 461}, {'facility': 'F6', 'customer': 'O', 'cost': 163}, {'facility': 'F6', 'customer': 'P', 'cost': 524}, {'facility': 'F7', 'customer': 'A', 'cost': 319}, {'facility': 'F7', 'customer': 'B', 'cost': 838}, {'facility': 'F7', 'customer': 'C', 'cost': 42}, {'facility': 'F7', 'customer': 'D', 'cost': 280}, {'facility': 'F7', 'customer': 'E', 'cost': 498}, {'facility': 'F7', 'customer': 'F', 'cost': 743}, {'facility': 'F7', 'customer': 'G', 'cost': 62}, {'facility': 'F7', 'customer': 'H', 'cost': 984}, {'facility': 'F7', 'customer': 'I', 'cost': 745}, {'facility': 'F7', 'customer': 'J', 'cost': 40}, {'facility': 'F7', 'customer': 'K', 'cost': 497}, {'facility': 'F7', 'customer': 'L', 'cost': 342}, {'facility': 'F7', 'customer': 'M', 'cost': 538}, {'facility': 'F7', 'customer': 'N', 'cost': 257}, {'facility': 'F7', 'customer': 'O', 'cost': 687}, {'facility': 'F7', 'customer': 'P', 'cost': 579}, {'facility': 'F8', 'customer': 'A', 'cost': 16}, {'facility': 'F8', 'customer': 'B', 'cost': 528}, {'facility': 'F8', 'customer': 'C', 'cost': 80}, {'facility': 'F8', 'customer': 'D', 'cost': 204}, {'facility': 'F8', 'customer': 'E', 'cost': 408}, {'facility': 'F8', 'customer': 'F', 'cost': 614}, {'facility': 'F8', 'customer': 'G', 'cost': 460}, {'facility': 'F8', 'customer': 'H', 'cost': 864}, {'facility': 'F8', 'customer': 'I', 'cost': 966}, {'facility': 'F8', 'customer': 'J', 'cost': 553}, {'facility': 'F8', 'customer': 'K', 'cost': 239}, {'facility': 'F8', 'customer': 'L', 'cost': 875}, {'facility': 'F8', 'customer': 'M', 'cost': 999}, {'facility': 'F8', 'customer': 'N', 'cost': 615}, {'facility': 'F8', 'customer': 'O', 'cost': 758}, {'facility': 'F8', 'customer': 'P', 'cost': 239}], 'objective': 5836.0}","{'selected': ['F2', 'F6', 'F8'], 'assignments': ['F8', 'F8', 'F8', 'F8', 'F6', 'F6', 'F2', 'F2', 'F6', 'F2', 'F2', 'F2', 'F6', 'F2', 'F2', 'F8']}",32,csv,names
UFLP,UFLP,"Someone on the events crew has to map out which pop-up booths get rented and then tie each customer group to a single one of those booths. Each group must end up at exactly one open booth (no leftovers, no multiple assignments), and booths can host as many groups as needed. The deciding factor is total cost: take the fees for the booths that are opened and add the travel/service cost for every group to its assigned booth — the configuration with the smallest total is the one to pick. The precise details are shown below.

{
  ""num_booths"": 9,
  ""num_customer_groups"": 19,
  ""booths"": [
    {
      ""booth_id"": ""F1"",
      ""booth_rental_fee"": 7433
    },
    {
      ""booth_id"": ""F2"",
      ""booth_rental_fee"": 2501
    },
    {
      ""booth_id"": ""F3"",
      ""booth_rental_fee"": 3751
    },
    {
      ""booth_id"": ""F4"",
      ""booth_rental_fee"": 7764
    },
    {
      ""booth_id"": ""F5"",
      ""booth_rental_fee"": 4583
    },
    {
      ""booth_id"": ""F6"",
      ""booth_rental_fee"": 7729
    },
    {
      ""booth_id"": ""F7"",
      ""booth_rental_fee"": 3889
    },
    {
      ""booth_id"": ""F8"",
      ""booth_rental_fee"": 9155
    },
    {
      ""booth_id"": ""F9"",
      ""booth_rental_fee"": 7670
    }
  ],
  ""groups"": [
    {
      ""group_id"": 0
    },
    {
      ""group_id"": 1
    },
    {
      ""group_id"": 2
    },
    {
      ""group_id"": 3
    },
    {
      ""group_id"": 4
    },
    {
      ""group_id"": 5
    },
    {
      ""group_id"": 6
    },
    {
      ""group_id"": 7
    },
    {
      ""group_id"": 8
    },
    {
      ""group_id"": 9
    },
    {
      ""group_id"": 10
    },
    {
      ""group_id"": 11
    },
    {
      ""group_id"": 12
    },
    {
      ""group_id"": 13
    },
    {
      ""group_id"": 14
    },
    {
      ""group_id"": 15
    },
    {
      ""group_id"": 16
    },
    {
      ""group_id"": 17
    },
    {
      ""group_id"": 18
    }
  ],
  ""group_travel_services"": [
    {
      ""booth_id"": ""F1"",
      ""group_id"": 0,
      ""group_travel_service_cost"": 923
    },
    {
      ""booth_id"": ""F1"",
      ""group_id"": 1,
      ""group_travel_service_cost"": 468
    },
    {
      ""booth_id"": ""F1"",
      ""group_id"": 2,
      ""group_travel_service_cost"": 439
    },
    {
      ""booth_id"": ""F1"",
      ""group_id"": 3,
      ""group_travel_service_cost"": 989
    },
    {
      ""booth_id"": ""F1"",
      ""group_id"": 4,
      ""group_travel_service_cost"": 678
    },
    {
      ""booth_id"": ""F1"",
      ""group_id"": 5,
      ""group_travel_service_cost"": 111
    },
    {
      ""booth_id"": ""F1"",
      ""group_id"": 6,
      ""group_travel_service_cost"": 812
    },
    {
      ""booth_id"": ""F1"",
      ""group_id"": 7,
      ""group_travel_service_cost"": 375
    },
    {
      ""booth_id"": ""F1"",
      ""group_id"": 8,
      ""group_travel_service_cost"": 267
    },
    {
      ""booth_id"": ""F1"",
      ""group_id"": 9,
      ""group_travel_service_cost"": 254
    },
    {
      ""booth_id"": ""F1"",
      ""group_id"": 10,
      ""group_travel_service_cost"": 869
    },
    {
      ""booth_id"": ""F1"",
      ""group_id"": 11,
      ""group_travel_service_cost"": 234
    },
    {
      ""booth_id"": ""F1"",
      ""group_id"": 12,
      ""group_travel_service_cost"": 638
    },
    {
      ""booth_id"": ""F1"",
      ""group_id"": 13,
      ""group_travel_service_cost"": 679
    },
    {
      ""booth_id"": ""F1"",
      ""group_id"": 14,
      ""group_travel_service_cost"": 163
    },
    {
      ""booth_id"": ""F1"",
      ""group_id"": 15,
      ""group_travel_service_cost"": 531
    },
    {
      ""booth_id"": ""F1"",
      ""group_id"": 16,
      ""group_travel_service_cost"": 839
    },
    {
      ""booth_id"": ""F1"",
      ""group_id"": 17,
      ""group_travel_service_cost"": 69
    },
    {
      ""booth_id"": ""F1"",
      ""group_id"": 18,
      ""group_travel_service_cost"": 59
    },
    {
      ""booth_id"": ""F2"",
      ""group_id"": 0,
      ""group_travel_service_cost"": 449
    },
    {
      ""booth_id"": ""F2"",
      ""group_id"": 1,
      ""group_travel_service_cost"": 420
    },
    {
      ""booth_id"": ""F2"",
      ""group_id"": 2,
      ""group_travel_service_cost"": 429
    },
    {
      ""booth_id"": ""F2"",
      ""group_id"": 3,
      ""group_travel_service_cost"": 174
    },
    {
      ""booth_id"": ""F2"",
      ""group_id"": 4,
      ""group_travel_service_cost"": 140
    },
    {
      ""booth_id"": ""F2"",
      ""group_id"": 5,
      ""group_travel_service_cost"": 356
    },
    {
      ""booth_id"": ""F2"",
      ""group_id"": 6,
      ""group_travel_service_cost"": 37
    },
    {
      ""booth_id"": ""F2"",
      ""group_id"": 7,
      ""group_travel_service_cost"": 268
    },
    {
      ""booth_id"": ""F2"",
      ""group_id"": 8,
      ""group_travel_service_cost"": 934
    },
    {
      ""booth_id"": ""F2"",
      ""group_id"": 9,
      ""group_travel_service_cost"": 566
    },
    {
      ""booth_id"": ""F2"",
      ""group_id"": 10,
      ""group_travel_service_cost"": 85
    },
    {
      ""booth_id"": ""F2"",
      ""group_id"": 11,
      ""group_travel_service_cost"": 368
    },
    {
      ""booth_id"": ""F2"",
      ""group_id"": 12,
      ""group_travel_service_cost"": 365
    },
    {
      ""booth_id"": ""F2"",
      ""group_id"": 13,
      ""group_travel_service_cost"": 799
    },
    {
      ""booth_id"": ""F2"",
      ""group_id"": 14,
      ""group_travel_service_cost"": 829
    },
    {
      ""booth_id"": ""F2"",
      ""group_id"": 15,
      ""group_travel_service_cost"": 32
    },
    {
      ""booth_id"": ""F2"",
      ""group_id"": 16,
      ""group_travel_service_cost"": 231
    },
    {
      ""booth_id"": ""F2"",
      ""group_id"": 17,
      ""group_travel_service_cost"": 869
    },
    {
      ""booth_id"": ""F2"",
      ""group_id"": 18,
      ""group_travel_service_cost"": 327
    },
    {
      ""booth_id"": ""F3"",
      ""group_id"": 0,
      ""group_travel_service_cost"": 266
    },
    {
      ""booth_id"": ""F3"",
      ""group_id"": 1,
      ""group_travel_service_cost"": 560
    },
    {
      ""booth_id"": ""F3"",
      ""group_id"": 2,
      ""group_travel_service_cost"": 203
    },
    {
      ""booth_id"": ""F3"",
      ""group_id"": 3,
      ""group_travel_service_cost"": 888
    },
    {
      ""booth_id"": ""F3"",
      ""group_id"": 4,
      ""group_travel_service_cost"": 85
    },
    {
      ""booth_id"": ""F3"",
      ""group_id"": 5,
      ""group_travel_service_cost"": 560
    },
    {
      ""booth_id"": ""F3"",
      ""group_id"": 6,
      ""group_travel_service_cost"": 425
    },
    {
      ""booth_id"": ""F3"",
      ""group_id"": 7,
      ""group_travel_service_cost"": 787
    },
    {
      ""booth_id"": ""F3"",
      ""group_id"": 8,
      ""group_travel_service_cost"": 348
    },
    {
      ""booth_id"": ""F3"",
      ""group_id"": 9,
      ""group_travel_service_cost"": 609
    },
    {
      ""booth_id"": ""F3"",
      ""group_id"": 10,
      ""group_travel_service_cost"": 101
    },
    {
      ""booth_id"": ""F3"",
      ""group_id"": 11,
      ""group_travel_service_cost"": 995
    },
    {
      ""booth_id"": ""F3"",
      ""group_id"": 12,
      ""group_travel_service_cost"": 461
    },
    {
      ""booth_id"": ""F3"",
      ""group_id"": 13,
      ""group_travel_service_cost"": 904
    },
    {
      ""booth_id"": ""F3"",
      ""group_id"": 14,
      ""group_travel_service_cost"": 373
    },
    {
      ""booth_id"": ""F3"",
      ""group_id"": 15,
      ""group_travel_service_cost"": 579
    },
    {
      ""booth_id"": ""F3"",
      ""group_id"": 16,
      ""group_travel_service_cost"": 819
    },
    {
      ""booth_id"": ""F3"",
      ""group_id"": 17,
      ""group_travel_service_cost"": 525
    },
    {
      ""booth_id"": ""F3"",
      ""group_id"": 18,
      ""group_travel_service_cost"": 560
    },
    {
      ""booth_id"": ""F4"",
      ""group_id"": 0,
      ""group_travel_service_cost"": 103
    },
    {
      ""booth_id"": ""F4"",
      ""group_id"": 1,
      ""group_travel_service_cost"": 290
    },
    {
      ""booth_id"": ""F4"",
      ""group_id"": 2,
      ""group_travel_service_cost"": 890
    },
    {
      ""booth_id"": ""F4"",
      ""group_id"": 3,
      ""group_travel_service_cost"": 666
    },
    {
      ""booth_id"": ""F4"",
      ""group_id"": 4,
      ""group_travel_service_cost"": 855
    },
    {
      ""booth_id"": ""F4"",
      ""group_id"": 5,
      ""group_travel_service_cost"": 634
    },
    {
      ""booth_id"": ""F4"",
      ""group_id"": 6,
      ""group_travel_service_cost"": 375
    },
    {
      ""booth_id"": ""F4"",
      ""group_id"": 7,
      ""group_travel_service_cost"": 911
    },
    {
      ""booth_id"": ""F4"",
      ""group_id"": 8,
      ""group_travel_service_cost"": 421
    },
    {
      ""booth_id"": ""F4"",
      ""group_id"": 9,
      ""group_travel_service_cost"": 665
    },
    {
      ""booth_id"": ""F4"",
      ""group_id"": 10,
      ""group_travel_service_cost"": 564
    },
    {
      ""booth_id"": ""F4"",
      ""group_id"": 11,
      ""group_travel_service_cost"": 564
    },
    {
      ""booth_id"": ""F4"",
      ""group_id"": 12,
      ""group_travel_service_cost"": 90
    },
    {
      ""booth_id"": ""F4"",
      ""group_id"": 13,
      ""group_travel_service_cost"": 89
    },
    {
      ""booth_id"": ""F4"",
      ""group_id"": 14,
      ""group_travel_service_cost"": 280
    },
    {
      ""booth_id"": ""F4"",
      ""group_id"": 15,
      ""group_travel_service_cost"": 449
    },
    {
      ""booth_id"": ""F4"",
      ""group_id"": 16,
      ""group_travel_service_cost"": 129
    },
    {
      ""booth_id"": ""F4"",
      ""group_id"": 17,
      ""group_travel_service_cost"": 213
    },
    {
      ""booth_id"": ""F4"",
      ""group_id"": 18,
      ""group_travel_service_cost"": 738
    },
    {
      ""booth_id"": ""F5"",
      ""group_id"": 0,
      ""group_travel_service_cost"": 99
    },
    {
      ""booth_id"": ""F5"",
      ""group_id"": 1,
      ""group_travel_service_cost"": 540
    },
    {
      ""booth_id"": ""F5"",
      ""group_id"": 2,
      ""group_travel_service_cost"": 447
    },
    {
      ""booth_id"": ""F5"",
      ""group_id"": 3,
      ""group_travel_service_cost"": 439
    },
    {
      ""booth_id"": ""F5"",
      ""group_id"": 4,
      ""group_travel_service_cost"": 218
    },
    {
      ""booth_id"": ""F5"",
      ""group_id"": 5,
      ""group_travel_service_cost"": 298
    },
    {
      ""booth_id"": ""F5"",
      ""group_id"": 6,
      ""group_travel_service_cost"": 778
    },
    {
      ""booth_id"": ""F5"",
      ""group_id"": 7,
      ""group_travel_service_cost"": 389
    },
    {
      ""booth_id"": ""F5"",
      ""group_id"": 8,
      ""group_travel_service_cost"": 141
    },
    {
      ""booth_id"": ""F5"",
      ""group_id"": 9,
      ""group_travel_service_cost"": 918
    },
    {
      ""booth_id"": ""F5"",
      ""group_id"": 10,
      ""group_travel_service_cost"": 479
    },
    {
      ""booth_id"": ""F5"",
      ""group_id"": 11,
      ""group_travel_service_cost"": 404
    },
    {
      ""booth_id"": ""F5"",
      ""group_id"": 12,
      ""group_travel_service_cost"": 933
    },
    {
      ""booth_id"": ""F5"",
      ""group_id"": 13,
      ""group_travel_service_cost"": 74
    },
    {
      ""booth_id"": ""F5"",
      ""group_id"": 14,
      ""group_travel_service_cost"": 914
    },
    {
      ""booth_id"": ""F5"",
      ""group_id"": 15,
      ""group_travel_service_cost"": 875
    },
    {
      ""booth_id"": ""F5"",
      ""group_id"": 16,
      ""group_travel_service_cost"": 802
    },
    {
      ""booth_id"": ""F5"",
      ""group_id"": 17,
      ""group_travel_service_cost"": 582
    },
    {
      ""booth_id"": ""F5"",
      ""group_id"": 18,
      ""group_travel_service_cost"": 73
    },
    {
      ""booth_id"": ""F6"",
      ""group_id"": 0,
      ""group_travel_service_cost"": 804
    },
    {
      ""booth_id"": ""F6"",
      ""group_id"": 1,
      ""group_travel_service_cost"": 81
    },
    {
      ""booth_id"": ""F6"",
      ""group_id"": 2,
      ""group_travel_service_cost"": 538
    },
    {
      ""booth_id"": ""F6"",
      ""group_id"": 3,
      ""group_travel_service_cost"": 145
    },
    {
      ""booth_id"": ""F6"",
      ""group_id"": 4,
      ""group_travel_service_cost"": 733
    },
    {
      ""booth_id"": ""F6"",
      ""group_id"": 5,
      ""group_travel_service_cost"": 199
    },
    {
      ""booth_id"": ""F6"",
      ""group_id"": 6,
      ""group_travel_service_cost"": 18
    },
    {
      ""booth_id"": ""F6"",
      ""group_id"": 7,
      ""group_travel_service_cost"": 785
    },
    {
      ""booth_id"": ""F6"",
      ""group_id"": 8,
      ""group_travel_service_cost"": 663
    },
    {
      ""booth_id"": ""F6"",
      ""group_id"": 9,
      ""group_travel_service_cost"": 343
    },
    {
      ""booth_id"": ""F6"",
      ""group_id"": 10,
      ""group_travel_service_cost"": 494
    },
    {
      ""booth_id"": ""F6"",
      ""group_id"": 11,
      ""group_travel_service_cost"": 158
    },
    {
      ""booth_id"": ""F6"",
      ""group_id"": 12,
      ""group_travel_service_cost"": 54
    },
    {
      ""booth_id"": ""F6"",
      ""group_id"": 13,
      ""group_travel_service_cost"": 896
    },
    {
      ""booth_id"": ""F6"",
      ""group_id"": 14,
      ""group_travel_service_cost"": 152
    },
    {
      ""booth_id"": ""F6"",
      ""group_id"": 15,
      ""group_travel_service_cost"": 738
    },
    {
      ""booth_id"": ""F6"",
      ""group_id"": 16,
      ""group_travel_service_cost"": 204
    },
    {
      ""booth_id"": ""F6"",
      ""group_id"": 17,
      ""group_travel_service_cost"": 709
    },
    {
      ""booth_id"": ""F6"",
      ""group_id"": 18,
      ""group_travel_service_cost"": 232
    },
    {
      ""booth_id"": ""F7"",
      ""group_id"": 0,
      ""group_travel_service_cost"": 222
    },
    {
      ""booth_id"": ""F7"",
      ""group_id"": 1,
      ""group_travel_service_cost"": 164
    },
    {
      ""booth_id"": ""F7"",
      ""group_id"": 2,
      ""group_travel_service_cost"": 565
    },
    {
      ""booth_id"": ""F7"",
      ""group_id"": 3,
      ""group_travel_service_cost"": 622
    },
    {
      ""booth_id"": ""F7"",
      ""group_id"": 4,
      ""group_travel_service_cost"": 50
    },
    {
      ""booth_id"": ""F7"",
      ""group_id"": 5,
      ""group_travel_service_cost"": 314
    },
    {
      ""booth_id"": ""F7"",
      ""group_id"": 6,
      ""group_travel_service_cost"": 479
    },
    {
      ""booth_id"": ""F7"",
      ""group_id"": 7,
      ""group_travel_service_cost"": 571
    },
    {
      ""booth_id"": ""F7"",
      ""group_id"": 8,
      ""group_travel_service_cost"": 102
    },
    {
      ""booth_id"": ""F7"",
      ""group_id"": 9,
      ""group_travel_service_cost"": 901
    },
    {
      ""booth_id"": ""F7"",
      ""group_id"": 10,
      ""group_travel_service_cost"": 977
    },
    {
      ""booth_id"": ""F7"",
      ""group_id"": 11,
      ""group_travel_service_cost"": 428
    },
    {
      ""booth_id"": ""F7"",
      ""group_id"": 12,
      ""group_travel_service_cost"": 343
    },
    {
      ""booth_id"": ""F7"",
      ""group_id"": 13,
      ""group_travel_service_cost"": 837
    },
    {
      ""booth_id"": ""F7"",
      ""group_id"": 14,
      ""group_travel_service_cost"": 164
    },
    {
      ""booth_id"": ""F7"",
      ""group_id"": 15,
      ""group_travel_service_cost"": 384
    },
    {
      ""booth_id"": ""F7"",
      ""group_id"": 16,
      ""group_travel_service_cost"": 386
    },
    {
      ""booth_id"": ""F7"",
      ""group_id"": 17,
      ""group_travel_service_cost"": 594
    },
    {
      ""booth_id"": ""F7"",
      ""group_id"": 18,
      ""group_travel_service_cost"": 953
    },
    {
      ""booth_id"": ""F8"",
      ""group_id"": 0,
      ""group_travel_service_cost"": 650
    },
    {
      ""booth_id"": ""F8"",
      ""group_id"": 1,
      ""group_travel_service_cost"": 150
    },
    {
      ""booth_id"": ""F8"",
      ""group_id"": 2,
      ""group_travel_service_cost"": 648
    },
    {
      ""booth_id"": ""F8"",
      ""group_id"": 3,
      ""group_travel_service_cost"": 200
    },
    {
      ""booth_id"": ""F8"",
      ""group_id"": 4,
      ""group_travel_service_cost"": 718
    },
    {
      ""booth_id"": ""F8"",
      ""group_id"": 5,
      ""group_travel_service_cost"": 973
    },
    {
      ""booth_id"": ""F8"",
      ""group_id"": 6,
      ""group_travel_service_cost"": 401
    },
    {
      ""booth_id"": ""F8"",
      ""group_id"": 7,
      ""group_travel_service_cost"": 198
    },
    {
      ""booth_id"": ""F8"",
      ""group_id"": 8,
      ""group_travel_service_cost"": 449
    },
    {
      ""booth_id"": ""F8"",
      ""group_id"": 9,
      ""group_travel_service_cost"": 324
    },
    {
      ""booth_id"": ""F8"",
      ""group_id"": 10,
      ""group_travel_service_cost"": 396
    },
    {
      ""booth_id"": ""F8"",
      ""group_id"": 11,
      ""group_travel_service_cost"": 254
    },
    {
      ""booth_id"": ""F8"",
      ""group_id"": 12,
      ""group_travel_service_cost"": 926
    },
    {
      ""booth_id"": ""F8"",
      ""group_id"": 13,
      ""group_travel_service_cost"": 307
    },
    {
      ""booth_id"": ""F8"",
      ""group_id"": 14,
      ""group_travel_service_cost"": 796
    },
    {
      ""booth_id"": ""F8"",
      ""group_id"": 15,
      ""group_travel_service_cost"": 352
    },
    {
      ""booth_id"": ""F8"",
      ""group_id"": 16,
      ""group_travel_service_cost"": 332
    },
    {
      ""booth_id"": ""F8"",
      ""group_id"": 17,
      ""group_travel_service_cost"": 876
    },
    {
      ""booth_id"": ""F8"",
      ""group_id"": 18,
      ""group_travel_service_cost"": 25
    },
    {
      ""booth_id"": ""F9"",
      ""group_id"": 0,
      ""group_travel_service_cost"": 415
    },
    {
      ""booth_id"": ""F9"",
      ""group_id"": 1,
      ""group_travel_service_cost"": 540
    },
    {
      ""booth_id"": ""F9"",
      ""group_id"": 2,
      ""group_travel_service_cost"": 457
    },
    {
      ""booth_id"": ""F9"",
      ""group_id"": 3,
      ""group_travel_service_cost"": 534
    },
    {
      ""booth_id"": ""F9"",
      ""group_id"": 4,
      ""group_travel_service_cost"": 715
    },
    {
      ""booth_id"": ""F9"",
      ""group_id"": 5,
      ""group_travel_service_cost"": 443
    },
    {
      ""booth_id"": ""F9"",
      ""group_id"": 6,
      ""group_travel_service_cost"": 564
    },
    {
      ""booth_id"": ""F9"",
      ""group_id"": 7,
      ""group_travel_service_cost"": 431
    },
    {
      ""booth_id"": ""F9"",
      ""group_id"": 8,
      ""group_travel_service_cost"": 187
    },
    {
      ""booth_id"": ""F9"",
      ""group_id"": 9,
      ""group_travel_service_cost"": 431
    },
    {
      ""booth_id"": ""F9"",
      ""group_id"": 10,
      ""group_travel_service_cost"": 25
    },
    {
      ""booth_id"": ""F9"",
      ""group_id"": 11,
      ""group_travel_service_cost"": 852
    },
    {
      ""booth_id"": ""F9"",
      ""group_id"": 12,
      ""group_travel_service_cost"": 733
    },
    {
      ""booth_id"": ""F9"",
      ""group_id"": 13,
      ""group_travel_service_cost"": 245
    },
    {
      ""booth_id"": ""F9"",
      ""group_id"": 14,
      ""group_travel_service_cost"": 313
    },
    {
      ""booth_id"": ""F9"",
      ""group_id"": 15,
      ""group_travel_service_cost"": 654
    },
    {
      ""booth_id"": ""F9"",
      ""group_id"": 16,
      ""group_travel_service_cost"": 716
    },
    {
      ""booth_id"": ""F9"",
      ""group_id"": 17,
      ""group_travel_service_cost"": 749
    },
    {
      ""booth_id"": ""F9"",
      ""group_id"": 18,
      ""group_travel_service_cost"": 232
    }
  ]
}

When you answer, just return the picks in a tiny JSON blob like the one below so it's easy to parse — nothing fancy, just the two lists we need.

{
  ""solution"": {
    ""selected"": [<site_to_open>, <site_to_open>, ...],
    ""assignments"": [<assigned_site>, <assigned_site>, ...]
  }
}

Think of ""selected"" as the booths we decide to rent, and ""assignments"" as a simple one-entry-per-group list saying which rented booth each group goes to. Super casual: selected = which booths are open, assignments = which open booth each group is tied to.

This JSON is just a sketch of the shape I want back — not the real answer. Also, please use the exact identifiers from the instance input with no renaming and no new labels.  
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'opening_costs': [7433, 2501, 3751, 7764, 4583, 7729, 3889, 9155, 7670], 'connection_costs': [[923, 468, 439, 989, 678, 111, 812, 375, 267, 254, 869, 234, 638, 679, 163, 531, 839, 69, 59], [449, 420, 429, 174, 140, 356, 37, 268, 934, 566, 85, 368, 365, 799, 829, 32, 231, 869, 327], [266, 560, 203, 888, 85, 560, 425, 787, 348, 609, 101, 995, 461, 904, 373, 579, 819, 525, 560], [103, 290, 890, 666, 855, 634, 375, 911, 421, 665, 564, 564, 90, 89, 280, 449, 129, 213, 738], [99, 540, 447, 439, 218, 298, 778, 389, 141, 918, 479, 404, 933, 74, 914, 875, 802, 582, 73], [804, 81, 538, 145, 733, 199, 18, 785, 663, 343, 494, 158, 54, 896, 152, 738, 204, 709, 232], [222, 164, 565, 622, 50, 314, 479, 571, 102, 901, 977, 428, 343, 837, 164, 384, 386, 594, 953], [650, 150, 648, 200, 718, 973, 401, 198, 449, 324, 396, 254, 926, 307, 796, 352, 332, 876, 25], [415, 540, 457, 534, 715, 443, 564, 431, 187, 431, 25, 852, 733, 245, 313, 654, 716, 749, 232]], 'objective': 10179.0}","{'open_facilities': [1], 'assignments': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]}",10179.0,"{'problem_type': 'UFLP', 'num_facilities': 9, 'num_customers': 19, 'facilities': [{'id': 'F1', 'opening_cost': 7433}, {'id': 'F2', 'opening_cost': 2501}, {'id': 'F3', 'opening_cost': 3751}, {'id': 'F4', 'opening_cost': 7764}, {'id': 'F5', 'opening_cost': 4583}, {'id': 'F6', 'opening_cost': 7729}, {'id': 'F7', 'opening_cost': 3889}, {'id': 'F8', 'opening_cost': 9155}, {'id': 'F9', 'opening_cost': 7670}], 'customers': [{'id': 0}, {'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}, {'id': 16}, {'id': 17}, {'id': 18}], 'connection_costs': [{'facility': 'F1', 'customer': 0, 'cost': 923}, {'facility': 'F1', 'customer': 1, 'cost': 468}, {'facility': 'F1', 'customer': 2, 'cost': 439}, {'facility': 'F1', 'customer': 3, 'cost': 989}, {'facility': 'F1', 'customer': 4, 'cost': 678}, {'facility': 'F1', 'customer': 5, 'cost': 111}, {'facility': 'F1', 'customer': 6, 'cost': 812}, {'facility': 'F1', 'customer': 7, 'cost': 375}, {'facility': 'F1', 'customer': 8, 'cost': 267}, {'facility': 'F1', 'customer': 9, 'cost': 254}, {'facility': 'F1', 'customer': 10, 'cost': 869}, {'facility': 'F1', 'customer': 11, 'cost': 234}, {'facility': 'F1', 'customer': 12, 'cost': 638}, {'facility': 'F1', 'customer': 13, 'cost': 679}, {'facility': 'F1', 'customer': 14, 'cost': 163}, {'facility': 'F1', 'customer': 15, 'cost': 531}, {'facility': 'F1', 'customer': 16, 'cost': 839}, {'facility': 'F1', 'customer': 17, 'cost': 69}, {'facility': 'F1', 'customer': 18, 'cost': 59}, {'facility': 'F2', 'customer': 0, 'cost': 449}, {'facility': 'F2', 'customer': 1, 'cost': 420}, {'facility': 'F2', 'customer': 2, 'cost': 429}, {'facility': 'F2', 'customer': 3, 'cost': 174}, {'facility': 'F2', 'customer': 4, 'cost': 140}, {'facility': 'F2', 'customer': 5, 'cost': 356}, {'facility': 'F2', 'customer': 6, 'cost': 37}, {'facility': 'F2', 'customer': 7, 'cost': 268}, {'facility': 'F2', 'customer': 8, 'cost': 934}, {'facility': 'F2', 'customer': 9, 'cost': 566}, {'facility': 'F2', 'customer': 10, 'cost': 85}, {'facility': 'F2', 'customer': 11, 'cost': 368}, {'facility': 'F2', 'customer': 12, 'cost': 365}, {'facility': 'F2', 'customer': 13, 'cost': 799}, {'facility': 'F2', 'customer': 14, 'cost': 829}, {'facility': 'F2', 'customer': 15, 'cost': 32}, {'facility': 'F2', 'customer': 16, 'cost': 231}, {'facility': 'F2', 'customer': 17, 'cost': 869}, {'facility': 'F2', 'customer': 18, 'cost': 327}, {'facility': 'F3', 'customer': 0, 'cost': 266}, {'facility': 'F3', 'customer': 1, 'cost': 560}, {'facility': 'F3', 'customer': 2, 'cost': 203}, {'facility': 'F3', 'customer': 3, 'cost': 888}, {'facility': 'F3', 'customer': 4, 'cost': 85}, {'facility': 'F3', 'customer': 5, 'cost': 560}, {'facility': 'F3', 'customer': 6, 'cost': 425}, {'facility': 'F3', 'customer': 7, 'cost': 787}, {'facility': 'F3', 'customer': 8, 'cost': 348}, {'facility': 'F3', 'customer': 9, 'cost': 609}, {'facility': 'F3', 'customer': 10, 'cost': 101}, {'facility': 'F3', 'customer': 11, 'cost': 995}, {'facility': 'F3', 'customer': 12, 'cost': 461}, {'facility': 'F3', 'customer': 13, 'cost': 904}, {'facility': 'F3', 'customer': 14, 'cost': 373}, {'facility': 'F3', 'customer': 15, 'cost': 579}, {'facility': 'F3', 'customer': 16, 'cost': 819}, {'facility': 'F3', 'customer': 17, 'cost': 525}, {'facility': 'F3', 'customer': 18, 'cost': 560}, {'facility': 'F4', 'customer': 0, 'cost': 103}, {'facility': 'F4', 'customer': 1, 'cost': 290}, {'facility': 'F4', 'customer': 2, 'cost': 890}, {'facility': 'F4', 'customer': 3, 'cost': 666}, {'facility': 'F4', 'customer': 4, 'cost': 855}, {'facility': 'F4', 'customer': 5, 'cost': 634}, {'facility': 'F4', 'customer': 6, 'cost': 375}, {'facility': 'F4', 'customer': 7, 'cost': 911}, {'facility': 'F4', 'customer': 8, 'cost': 421}, {'facility': 'F4', 'customer': 9, 'cost': 665}, {'facility': 'F4', 'customer': 10, 'cost': 564}, {'facility': 'F4', 'customer': 11, 'cost': 564}, {'facility': 'F4', 'customer': 12, 'cost': 90}, {'facility': 'F4', 'customer': 13, 'cost': 89}, {'facility': 'F4', 'customer': 14, 'cost': 280}, {'facility': 'F4', 'customer': 15, 'cost': 449}, {'facility': 'F4', 'customer': 16, 'cost': 129}, {'facility': 'F4', 'customer': 17, 'cost': 213}, {'facility': 'F4', 'customer': 18, 'cost': 738}, {'facility': 'F5', 'customer': 0, 'cost': 99}, {'facility': 'F5', 'customer': 1, 'cost': 540}, {'facility': 'F5', 'customer': 2, 'cost': 447}, {'facility': 'F5', 'customer': 3, 'cost': 439}, {'facility': 'F5', 'customer': 4, 'cost': 218}, {'facility': 'F5', 'customer': 5, 'cost': 298}, {'facility': 'F5', 'customer': 6, 'cost': 778}, {'facility': 'F5', 'customer': 7, 'cost': 389}, {'facility': 'F5', 'customer': 8, 'cost': 141}, {'facility': 'F5', 'customer': 9, 'cost': 918}, {'facility': 'F5', 'customer': 10, 'cost': 479}, {'facility': 'F5', 'customer': 11, 'cost': 404}, {'facility': 'F5', 'customer': 12, 'cost': 933}, {'facility': 'F5', 'customer': 13, 'cost': 74}, {'facility': 'F5', 'customer': 14, 'cost': 914}, {'facility': 'F5', 'customer': 15, 'cost': 875}, {'facility': 'F5', 'customer': 16, 'cost': 802}, {'facility': 'F5', 'customer': 17, 'cost': 582}, {'facility': 'F5', 'customer': 18, 'cost': 73}, {'facility': 'F6', 'customer': 0, 'cost': 804}, {'facility': 'F6', 'customer': 1, 'cost': 81}, {'facility': 'F6', 'customer': 2, 'cost': 538}, {'facility': 'F6', 'customer': 3, 'cost': 145}, {'facility': 'F6', 'customer': 4, 'cost': 733}, {'facility': 'F6', 'customer': 5, 'cost': 199}, {'facility': 'F6', 'customer': 6, 'cost': 18}, {'facility': 'F6', 'customer': 7, 'cost': 785}, {'facility': 'F6', 'customer': 8, 'cost': 663}, {'facility': 'F6', 'customer': 9, 'cost': 343}, {'facility': 'F6', 'customer': 10, 'cost': 494}, {'facility': 'F6', 'customer': 11, 'cost': 158}, {'facility': 'F6', 'customer': 12, 'cost': 54}, {'facility': 'F6', 'customer': 13, 'cost': 896}, {'facility': 'F6', 'customer': 14, 'cost': 152}, {'facility': 'F6', 'customer': 15, 'cost': 738}, {'facility': 'F6', 'customer': 16, 'cost': 204}, {'facility': 'F6', 'customer': 17, 'cost': 709}, {'facility': 'F6', 'customer': 18, 'cost': 232}, {'facility': 'F7', 'customer': 0, 'cost': 222}, {'facility': 'F7', 'customer': 1, 'cost': 164}, {'facility': 'F7', 'customer': 2, 'cost': 565}, {'facility': 'F7', 'customer': 3, 'cost': 622}, {'facility': 'F7', 'customer': 4, 'cost': 50}, {'facility': 'F7', 'customer': 5, 'cost': 314}, {'facility': 'F7', 'customer': 6, 'cost': 479}, {'facility': 'F7', 'customer': 7, 'cost': 571}, {'facility': 'F7', 'customer': 8, 'cost': 102}, {'facility': 'F7', 'customer': 9, 'cost': 901}, {'facility': 'F7', 'customer': 10, 'cost': 977}, {'facility': 'F7', 'customer': 11, 'cost': 428}, {'facility': 'F7', 'customer': 12, 'cost': 343}, {'facility': 'F7', 'customer': 13, 'cost': 837}, {'facility': 'F7', 'customer': 14, 'cost': 164}, {'facility': 'F7', 'customer': 15, 'cost': 384}, {'facility': 'F7', 'customer': 16, 'cost': 386}, {'facility': 'F7', 'customer': 17, 'cost': 594}, {'facility': 'F7', 'customer': 18, 'cost': 953}, {'facility': 'F8', 'customer': 0, 'cost': 650}, {'facility': 'F8', 'customer': 1, 'cost': 150}, {'facility': 'F8', 'customer': 2, 'cost': 648}, {'facility': 'F8', 'customer': 3, 'cost': 200}, {'facility': 'F8', 'customer': 4, 'cost': 718}, {'facility': 'F8', 'customer': 5, 'cost': 973}, {'facility': 'F8', 'customer': 6, 'cost': 401}, {'facility': 'F8', 'customer': 7, 'cost': 198}, {'facility': 'F8', 'customer': 8, 'cost': 449}, {'facility': 'F8', 'customer': 9, 'cost': 324}, {'facility': 'F8', 'customer': 10, 'cost': 396}, {'facility': 'F8', 'customer': 11, 'cost': 254}, {'facility': 'F8', 'customer': 12, 'cost': 926}, {'facility': 'F8', 'customer': 13, 'cost': 307}, {'facility': 'F8', 'customer': 14, 'cost': 796}, {'facility': 'F8', 'customer': 15, 'cost': 352}, {'facility': 'F8', 'customer': 16, 'cost': 332}, {'facility': 'F8', 'customer': 17, 'cost': 876}, {'facility': 'F8', 'customer': 18, 'cost': 25}, {'facility': 'F9', 'customer': 0, 'cost': 415}, {'facility': 'F9', 'customer': 1, 'cost': 540}, {'facility': 'F9', 'customer': 2, 'cost': 457}, {'facility': 'F9', 'customer': 3, 'cost': 534}, {'facility': 'F9', 'customer': 4, 'cost': 715}, {'facility': 'F9', 'customer': 5, 'cost': 443}, {'facility': 'F9', 'customer': 6, 'cost': 564}, {'facility': 'F9', 'customer': 7, 'cost': 431}, {'facility': 'F9', 'customer': 8, 'cost': 187}, {'facility': 'F9', 'customer': 9, 'cost': 431}, {'facility': 'F9', 'customer': 10, 'cost': 25}, {'facility': 'F9', 'customer': 11, 'cost': 852}, {'facility': 'F9', 'customer': 12, 'cost': 733}, {'facility': 'F9', 'customer': 13, 'cost': 245}, {'facility': 'F9', 'customer': 14, 'cost': 313}, {'facility': 'F9', 'customer': 15, 'cost': 654}, {'facility': 'F9', 'customer': 16, 'cost': 716}, {'facility': 'F9', 'customer': 17, 'cost': 749}, {'facility': 'F9', 'customer': 18, 'cost': 232}], 'objective': 10179.0}","{'selected': ['F2'], 'assignments': ['F2', 'F2', 'F2', 'F2', 'F2', 'F2', 'F2', 'F2', 'F2', 'F2', 'F2', 'F2', 'F2', 'F2', 'F2', 'F2', 'F2', 'F2', 'F2']}",33,json,0
UFLP,UFLP,"Recently the bike-share folks have been mapping out which docks to open and which dock every rider should be linked to. There’s a cost to open any dock and a separate inconvenience score for each rider depending on which opened dock they use, so the winning plan is simply the one with the smallest combined cost: the total of all dock-opening fees plus the total of all riders’ access costs. Nobody can be left without a registered dock or assigned to a dock that wasn’t opened, and docks don’t have limits on how many riders they can handle. The concrete details are shown below.

{
  ""num_stations"": 8,
  ""num_riders"": 16,
  ""stations"": [
    {
      ""station_id"": ""F1"",
      ""station_opening_fee"": 1896
    },
    {
      ""station_id"": ""F2"",
      ""station_opening_fee"": 1965
    },
    {
      ""station_id"": ""F3"",
      ""station_opening_fee"": 1681
    },
    {
      ""station_id"": ""F4"",
      ""station_opening_fee"": 1160
    },
    {
      ""station_id"": ""F5"",
      ""station_opening_fee"": 1833
    },
    {
      ""station_id"": ""F6"",
      ""station_opening_fee"": 1562
    },
    {
      ""station_id"": ""F7"",
      ""station_opening_fee"": 1224
    },
    {
      ""station_id"": ""F8"",
      ""station_opening_fee"": 1594
    }
  ],
  ""riders"": [
    {
      ""rider_id"": 0
    },
    {
      ""rider_id"": 1
    },
    {
      ""rider_id"": 2
    },
    {
      ""rider_id"": 3
    },
    {
      ""rider_id"": 4
    },
    {
      ""rider_id"": 5
    },
    {
      ""rider_id"": 6
    },
    {
      ""rider_id"": 7
    },
    {
      ""rider_id"": 8
    },
    {
      ""rider_id"": 9
    },
    {
      ""rider_id"": 10
    },
    {
      ""rider_id"": 11
    },
    {
      ""rider_id"": 12
    },
    {
      ""rider_id"": 13
    },
    {
      ""rider_id"": 14
    },
    {
      ""rider_id"": 15
    }
  ],
  ""access_inconveniences"": [
    {
      ""station_id"": ""F1"",
      ""rider_id"": 0,
      ""access_inconvenience"": 390
    },
    {
      ""station_id"": ""F1"",
      ""rider_id"": 1,
      ""access_inconvenience"": 352
    },
    {
      ""station_id"": ""F1"",
      ""rider_id"": 2,
      ""access_inconvenience"": 891
    },
    {
      ""station_id"": ""F1"",
      ""rider_id"": 3,
      ""access_inconvenience"": 472
    },
    {
      ""station_id"": ""F1"",
      ""rider_id"": 4,
      ""access_inconvenience"": 148
    },
    {
      ""station_id"": ""F1"",
      ""rider_id"": 5,
      ""access_inconvenience"": 213
    },
    {
      ""station_id"": ""F1"",
      ""rider_id"": 6,
      ""access_inconvenience"": 321
    },
    {
      ""station_id"": ""F1"",
      ""rider_id"": 7,
      ""access_inconvenience"": 908
    },
    {
      ""station_id"": ""F1"",
      ""rider_id"": 8,
      ""access_inconvenience"": 261
    },
    {
      ""station_id"": ""F1"",
      ""rider_id"": 9,
      ""access_inconvenience"": 128
    },
    {
      ""station_id"": ""F1"",
      ""rider_id"": 10,
      ""access_inconvenience"": 685
    },
    {
      ""station_id"": ""F1"",
      ""rider_id"": 11,
      ""access_inconvenience"": 572
    },
    {
      ""station_id"": ""F1"",
      ""rider_id"": 12,
      ""access_inconvenience"": 162
    },
    {
      ""station_id"": ""F1"",
      ""rider_id"": 13,
      ""access_inconvenience"": 151
    },
    {
      ""station_id"": ""F1"",
      ""rider_id"": 14,
      ""access_inconvenience"": 429
    },
    {
      ""station_id"": ""F1"",
      ""rider_id"": 15,
      ""access_inconvenience"": 359
    },
    {
      ""station_id"": ""F2"",
      ""rider_id"": 0,
      ""access_inconvenience"": 923
    },
    {
      ""station_id"": ""F2"",
      ""rider_id"": 1,
      ""access_inconvenience"": 930
    },
    {
      ""station_id"": ""F2"",
      ""rider_id"": 2,
      ""access_inconvenience"": 371
    },
    {
      ""station_id"": ""F2"",
      ""rider_id"": 3,
      ""access_inconvenience"": 320
    },
    {
      ""station_id"": ""F2"",
      ""rider_id"": 4,
      ""access_inconvenience"": 634
    },
    {
      ""station_id"": ""F2"",
      ""rider_id"": 5,
      ""access_inconvenience"": 547
    },
    {
      ""station_id"": ""F2"",
      ""rider_id"": 6,
      ""access_inconvenience"": 919
    },
    {
      ""station_id"": ""F2"",
      ""rider_id"": 7,
      ""access_inconvenience"": 296
    },
    {
      ""station_id"": ""F2"",
      ""rider_id"": 8,
      ""access_inconvenience"": 819
    },
    {
      ""station_id"": ""F2"",
      ""rider_id"": 9,
      ""access_inconvenience"": 526
    },
    {
      ""station_id"": ""F2"",
      ""rider_id"": 10,
      ""access_inconvenience"": 134
    },
    {
      ""station_id"": ""F2"",
      ""rider_id"": 11,
      ""access_inconvenience"": 494
    },
    {
      ""station_id"": ""F2"",
      ""rider_id"": 12,
      ""access_inconvenience"": 551
    },
    {
      ""station_id"": ""F2"",
      ""rider_id"": 13,
      ""access_inconvenience"": 657
    },
    {
      ""station_id"": ""F2"",
      ""rider_id"": 14,
      ""access_inconvenience"": 810
    },
    {
      ""station_id"": ""F2"",
      ""rider_id"": 15,
      ""access_inconvenience"": 8
    },
    {
      ""station_id"": ""F3"",
      ""rider_id"": 0,
      ""access_inconvenience"": 990
    },
    {
      ""station_id"": ""F3"",
      ""rider_id"": 1,
      ""access_inconvenience"": 247
    },
    {
      ""station_id"": ""F3"",
      ""rider_id"": 2,
      ""access_inconvenience"": 100
    },
    {
      ""station_id"": ""F3"",
      ""rider_id"": 3,
      ""access_inconvenience"": 469
    },
    {
      ""station_id"": ""F3"",
      ""rider_id"": 4,
      ""access_inconvenience"": 990
    },
    {
      ""station_id"": ""F3"",
      ""rider_id"": 5,
      ""access_inconvenience"": 792
    },
    {
      ""station_id"": ""F3"",
      ""rider_id"": 6,
      ""access_inconvenience"": 760
    },
    {
      ""station_id"": ""F3"",
      ""rider_id"": 7,
      ""access_inconvenience"": 10
    },
    {
      ""station_id"": ""F3"",
      ""rider_id"": 8,
      ""access_inconvenience"": 868
    },
    {
      ""station_id"": ""F3"",
      ""rider_id"": 9,
      ""access_inconvenience"": 839
    },
    {
      ""station_id"": ""F3"",
      ""rider_id"": 10,
      ""access_inconvenience"": 814
    },
    {
      ""station_id"": ""F3"",
      ""rider_id"": 11,
      ""access_inconvenience"": 670
    },
    {
      ""station_id"": ""F3"",
      ""rider_id"": 12,
      ""access_inconvenience"": 589
    },
    {
      ""station_id"": ""F3"",
      ""rider_id"": 13,
      ""access_inconvenience"": 819
    },
    {
      ""station_id"": ""F3"",
      ""rider_id"": 14,
      ""access_inconvenience"": 191
    },
    {
      ""station_id"": ""F3"",
      ""rider_id"": 15,
      ""access_inconvenience"": 398
    },
    {
      ""station_id"": ""F4"",
      ""rider_id"": 0,
      ""access_inconvenience"": 707
    },
    {
      ""station_id"": ""F4"",
      ""rider_id"": 1,
      ""access_inconvenience"": 993
    },
    {
      ""station_id"": ""F4"",
      ""rider_id"": 2,
      ""access_inconvenience"": 544
    },
    {
      ""station_id"": ""F4"",
      ""rider_id"": 3,
      ""access_inconvenience"": 23
    },
    {
      ""station_id"": ""F4"",
      ""rider_id"": 4,
      ""access_inconvenience"": 27
    },
    {
      ""station_id"": ""F4"",
      ""rider_id"": 5,
      ""access_inconvenience"": 608
    },
    {
      ""station_id"": ""F4"",
      ""rider_id"": 6,
      ""access_inconvenience"": 338
    },
    {
      ""station_id"": ""F4"",
      ""rider_id"": 7,
      ""access_inconvenience"": 344
    },
    {
      ""station_id"": ""F4"",
      ""rider_id"": 8,
      ""access_inconvenience"": 167
    },
    {
      ""station_id"": ""F4"",
      ""rider_id"": 9,
      ""access_inconvenience"": 66
    },
    {
      ""station_id"": ""F4"",
      ""rider_id"": 10,
      ""access_inconvenience"": 225
    },
    {
      ""station_id"": ""F4"",
      ""rider_id"": 11,
      ""access_inconvenience"": 483
    },
    {
      ""station_id"": ""F4"",
      ""rider_id"": 12,
      ""access_inconvenience"": 724
    },
    {
      ""station_id"": ""F4"",
      ""rider_id"": 13,
      ""access_inconvenience"": 344
    },
    {
      ""station_id"": ""F4"",
      ""rider_id"": 14,
      ""access_inconvenience"": 63
    },
    {
      ""station_id"": ""F4"",
      ""rider_id"": 15,
      ""access_inconvenience"": 339
    },
    {
      ""station_id"": ""F5"",
      ""rider_id"": 0,
      ""access_inconvenience"": 413
    },
    {
      ""station_id"": ""F5"",
      ""rider_id"": 1,
      ""access_inconvenience"": 140
    },
    {
      ""station_id"": ""F5"",
      ""rider_id"": 2,
      ""access_inconvenience"": 227
    },
    {
      ""station_id"": ""F5"",
      ""rider_id"": 3,
      ""access_inconvenience"": 394
    },
    {
      ""station_id"": ""F5"",
      ""rider_id"": 4,
      ""access_inconvenience"": 932
    },
    {
      ""station_id"": ""F5"",
      ""rider_id"": 5,
      ""access_inconvenience"": 658
    },
    {
      ""station_id"": ""F5"",
      ""rider_id"": 6,
      ""access_inconvenience"": 845
    },
    {
      ""station_id"": ""F5"",
      ""rider_id"": 7,
      ""access_inconvenience"": 339
    },
    {
      ""station_id"": ""F5"",
      ""rider_id"": 8,
      ""access_inconvenience"": 246
    },
    {
      ""station_id"": ""F5"",
      ""rider_id"": 9,
      ""access_inconvenience"": 709
    },
    {
      ""station_id"": ""F5"",
      ""rider_id"": 10,
      ""access_inconvenience"": 497
    },
    {
      ""station_id"": ""F5"",
      ""rider_id"": 11,
      ""access_inconvenience"": 909
    },
    {
      ""station_id"": ""F5"",
      ""rider_id"": 12,
      ""access_inconvenience"": 827
    },
    {
      ""station_id"": ""F5"",
      ""rider_id"": 13,
      ""access_inconvenience"": 481
    },
    {
      ""station_id"": ""F5"",
      ""rider_id"": 14,
      ""access_inconvenience"": 780
    },
    {
      ""station_id"": ""F5"",
      ""rider_id"": 15,
      ""access_inconvenience"": 506
    },
    {
      ""station_id"": ""F6"",
      ""rider_id"": 0,
      ""access_inconvenience"": 946
    },
    {
      ""station_id"": ""F6"",
      ""rider_id"": 1,
      ""access_inconvenience"": 875
    },
    {
      ""station_id"": ""F6"",
      ""rider_id"": 2,
      ""access_inconvenience"": 844
    },
    {
      ""station_id"": ""F6"",
      ""rider_id"": 3,
      ""access_inconvenience"": 384
    },
    {
      ""station_id"": ""F6"",
      ""rider_id"": 4,
      ""access_inconvenience"": 722
    },
    {
      ""station_id"": ""F6"",
      ""rider_id"": 5,
      ""access_inconvenience"": 31
    },
    {
      ""station_id"": ""F6"",
      ""rider_id"": 6,
      ""access_inconvenience"": 208
    },
    {
      ""station_id"": ""F6"",
      ""rider_id"": 7,
      ""access_inconvenience"": 184
    },
    {
      ""station_id"": ""F6"",
      ""rider_id"": 8,
      ""access_inconvenience"": 246
    },
    {
      ""station_id"": ""F6"",
      ""rider_id"": 9,
      ""access_inconvenience"": 814
    },
    {
      ""station_id"": ""F6"",
      ""rider_id"": 10,
      ""access_inconvenience"": 354
    },
    {
      ""station_id"": ""F6"",
      ""rider_id"": 11,
      ""access_inconvenience"": 666
    },
    {
      ""station_id"": ""F6"",
      ""rider_id"": 12,
      ""access_inconvenience"": 343
    },
    {
      ""station_id"": ""F6"",
      ""rider_id"": 13,
      ""access_inconvenience"": 486
    },
    {
      ""station_id"": ""F6"",
      ""rider_id"": 14,
      ""access_inconvenience"": 474
    },
    {
      ""station_id"": ""F6"",
      ""rider_id"": 15,
      ""access_inconvenience"": 972
    },
    {
      ""station_id"": ""F7"",
      ""rider_id"": 0,
      ""access_inconvenience"": 543
    },
    {
      ""station_id"": ""F7"",
      ""rider_id"": 1,
      ""access_inconvenience"": 783
    },
    {
      ""station_id"": ""F7"",
      ""rider_id"": 2,
      ""access_inconvenience"": 756
    },
    {
      ""station_id"": ""F7"",
      ""rider_id"": 3,
      ""access_inconvenience"": 468
    },
    {
      ""station_id"": ""F7"",
      ""rider_id"": 4,
      ""access_inconvenience"": 232
    },
    {
      ""station_id"": ""F7"",
      ""rider_id"": 5,
      ""access_inconvenience"": 521
    },
    {
      ""station_id"": ""F7"",
      ""rider_id"": 6,
      ""access_inconvenience"": 685
    },
    {
      ""station_id"": ""F7"",
      ""rider_id"": 7,
      ""access_inconvenience"": 931
    },
    {
      ""station_id"": ""F7"",
      ""rider_id"": 8,
      ""access_inconvenience"": 141
    },
    {
      ""station_id"": ""F7"",
      ""rider_id"": 9,
      ""access_inconvenience"": 754
    },
    {
      ""station_id"": ""F7"",
      ""rider_id"": 10,
      ""access_inconvenience"": 837
    },
    {
      ""station_id"": ""F7"",
      ""rider_id"": 11,
      ""access_inconvenience"": 145
    },
    {
      ""station_id"": ""F7"",
      ""rider_id"": 12,
      ""access_inconvenience"": 519
    },
    {
      ""station_id"": ""F7"",
      ""rider_id"": 13,
      ""access_inconvenience"": 100
    },
    {
      ""station_id"": ""F7"",
      ""rider_id"": 14,
      ""access_inconvenience"": 408
    },
    {
      ""station_id"": ""F7"",
      ""rider_id"": 15,
      ""access_inconvenience"": 405
    },
    {
      ""station_id"": ""F8"",
      ""rider_id"": 0,
      ""access_inconvenience"": 394
    },
    {
      ""station_id"": ""F8"",
      ""rider_id"": 1,
      ""access_inconvenience"": 644
    },
    {
      ""station_id"": ""F8"",
      ""rider_id"": 2,
      ""access_inconvenience"": 762
    },
    {
      ""station_id"": ""F8"",
      ""rider_id"": 3,
      ""access_inconvenience"": 911
    },
    {
      ""station_id"": ""F8"",
      ""rider_id"": 4,
      ""access_inconvenience"": 719
    },
    {
      ""station_id"": ""F8"",
      ""rider_id"": 5,
      ""access_inconvenience"": 907
    },
    {
      ""station_id"": ""F8"",
      ""rider_id"": 6,
      ""access_inconvenience"": 483
    },
    {
      ""station_id"": ""F8"",
      ""rider_id"": 7,
      ""access_inconvenience"": 11
    },
    {
      ""station_id"": ""F8"",
      ""rider_id"": 8,
      ""access_inconvenience"": 717
    },
    {
      ""station_id"": ""F8"",
      ""rider_id"": 9,
      ""access_inconvenience"": 874
    },
    {
      ""station_id"": ""F8"",
      ""rider_id"": 10,
      ""access_inconvenience"": 554
    },
    {
      ""station_id"": ""F8"",
      ""rider_id"": 11,
      ""access_inconvenience"": 429
    },
    {
      ""station_id"": ""F8"",
      ""rider_id"": 12,
      ""access_inconvenience"": 289
    },
    {
      ""station_id"": ""F8"",
      ""rider_id"": 13,
      ""access_inconvenience"": 53
    },
    {
      ""station_id"": ""F8"",
      ""rider_id"": 14,
      ""access_inconvenience"": 809
    },
    {
      ""station_id"": ""F8"",
      ""rider_id"": 15,
      ""access_inconvenience"": 915
    }
  ]
}

Oh, and when you send the plan back, just use this simple JSON shape so I can read it easily:

{
  ""solution"": {
    ""selected"": [<dock_to_open>, <dock_to_open>, ...],
    ""assignments"": [<assigned_dock>, <assigned_dock>, ...]
  }
}

""selected"" is where you list the docks you choose to open. ""assignments"" is a parallel list (one entry per rider, in the same order as the input) saying which opened dock each rider is linked to. Think of it like filling out a form: which docks are active, and who goes to which one.

This is just a sketch of the expected shape, not the actual answer—I'll need the real identifiers from the instance to produce a concrete plan. Please make sure you use the identifiers exactly as they appear in the input — no renaming and no new labels.

For example: Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'opening_costs': [1896, 1965, 1681, 1160, 1833, 1562, 1224, 1594], 'connection_costs': [[390, 352, 891, 472, 148, 213, 321, 908, 261, 128, 685, 572, 162, 151, 429, 359], [923, 930, 371, 320, 634, 547, 919, 296, 819, 526, 134, 494, 551, 657, 810, 8], [990, 247, 100, 469, 990, 792, 760, 10, 868, 839, 814, 670, 589, 819, 191, 398], [707, 993, 544, 23, 27, 608, 338, 344, 167, 66, 225, 483, 724, 344, 63, 339], [413, 140, 227, 394, 932, 658, 845, 339, 246, 709, 497, 909, 827, 481, 780, 506], [946, 875, 844, 384, 722, 31, 208, 184, 246, 814, 354, 666, 343, 486, 474, 972], [543, 783, 756, 468, 232, 521, 685, 931, 141, 754, 837, 145, 519, 100, 408, 405], [394, 644, 762, 911, 719, 907, 483, 11, 717, 874, 554, 429, 289, 53, 809, 915]], 'objective': 6926.0}","{'open_facilities': [0, 3], 'assignments': [0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 0, 0, 3, 3]}",6926.0,"{'problem_type': 'UFLP', 'num_facilities': 8, 'num_customers': 16, 'facilities': [{'id': 'F1', 'opening_cost': 1896}, {'id': 'F2', 'opening_cost': 1965}, {'id': 'F3', 'opening_cost': 1681}, {'id': 'F4', 'opening_cost': 1160}, {'id': 'F5', 'opening_cost': 1833}, {'id': 'F6', 'opening_cost': 1562}, {'id': 'F7', 'opening_cost': 1224}, {'id': 'F8', 'opening_cost': 1594}], 'customers': [{'id': 0}, {'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}], 'connection_costs': [{'facility': 'F1', 'customer': 0, 'cost': 390}, {'facility': 'F1', 'customer': 1, 'cost': 352}, {'facility': 'F1', 'customer': 2, 'cost': 891}, {'facility': 'F1', 'customer': 3, 'cost': 472}, {'facility': 'F1', 'customer': 4, 'cost': 148}, {'facility': 'F1', 'customer': 5, 'cost': 213}, {'facility': 'F1', 'customer': 6, 'cost': 321}, {'facility': 'F1', 'customer': 7, 'cost': 908}, {'facility': 'F1', 'customer': 8, 'cost': 261}, {'facility': 'F1', 'customer': 9, 'cost': 128}, {'facility': 'F1', 'customer': 10, 'cost': 685}, {'facility': 'F1', 'customer': 11, 'cost': 572}, {'facility': 'F1', 'customer': 12, 'cost': 162}, {'facility': 'F1', 'customer': 13, 'cost': 151}, {'facility': 'F1', 'customer': 14, 'cost': 429}, {'facility': 'F1', 'customer': 15, 'cost': 359}, {'facility': 'F2', 'customer': 0, 'cost': 923}, {'facility': 'F2', 'customer': 1, 'cost': 930}, {'facility': 'F2', 'customer': 2, 'cost': 371}, {'facility': 'F2', 'customer': 3, 'cost': 320}, {'facility': 'F2', 'customer': 4, 'cost': 634}, {'facility': 'F2', 'customer': 5, 'cost': 547}, {'facility': 'F2', 'customer': 6, 'cost': 919}, {'facility': 'F2', 'customer': 7, 'cost': 296}, {'facility': 'F2', 'customer': 8, 'cost': 819}, {'facility': 'F2', 'customer': 9, 'cost': 526}, {'facility': 'F2', 'customer': 10, 'cost': 134}, {'facility': 'F2', 'customer': 11, 'cost': 494}, {'facility': 'F2', 'customer': 12, 'cost': 551}, {'facility': 'F2', 'customer': 13, 'cost': 657}, {'facility': 'F2', 'customer': 14, 'cost': 810}, {'facility': 'F2', 'customer': 15, 'cost': 8}, {'facility': 'F3', 'customer': 0, 'cost': 990}, {'facility': 'F3', 'customer': 1, 'cost': 247}, {'facility': 'F3', 'customer': 2, 'cost': 100}, {'facility': 'F3', 'customer': 3, 'cost': 469}, {'facility': 'F3', 'customer': 4, 'cost': 990}, {'facility': 'F3', 'customer': 5, 'cost': 792}, {'facility': 'F3', 'customer': 6, 'cost': 760}, {'facility': 'F3', 'customer': 7, 'cost': 10}, {'facility': 'F3', 'customer': 8, 'cost': 868}, {'facility': 'F3', 'customer': 9, 'cost': 839}, {'facility': 'F3', 'customer': 10, 'cost': 814}, {'facility': 'F3', 'customer': 11, 'cost': 670}, {'facility': 'F3', 'customer': 12, 'cost': 589}, {'facility': 'F3', 'customer': 13, 'cost': 819}, {'facility': 'F3', 'customer': 14, 'cost': 191}, {'facility': 'F3', 'customer': 15, 'cost': 398}, {'facility': 'F4', 'customer': 0, 'cost': 707}, {'facility': 'F4', 'customer': 1, 'cost': 993}, {'facility': 'F4', 'customer': 2, 'cost': 544}, {'facility': 'F4', 'customer': 3, 'cost': 23}, {'facility': 'F4', 'customer': 4, 'cost': 27}, {'facility': 'F4', 'customer': 5, 'cost': 608}, {'facility': 'F4', 'customer': 6, 'cost': 338}, {'facility': 'F4', 'customer': 7, 'cost': 344}, {'facility': 'F4', 'customer': 8, 'cost': 167}, {'facility': 'F4', 'customer': 9, 'cost': 66}, {'facility': 'F4', 'customer': 10, 'cost': 225}, {'facility': 'F4', 'customer': 11, 'cost': 483}, {'facility': 'F4', 'customer': 12, 'cost': 724}, {'facility': 'F4', 'customer': 13, 'cost': 344}, {'facility': 'F4', 'customer': 14, 'cost': 63}, {'facility': 'F4', 'customer': 15, 'cost': 339}, {'facility': 'F5', 'customer': 0, 'cost': 413}, {'facility': 'F5', 'customer': 1, 'cost': 140}, {'facility': 'F5', 'customer': 2, 'cost': 227}, {'facility': 'F5', 'customer': 3, 'cost': 394}, {'facility': 'F5', 'customer': 4, 'cost': 932}, {'facility': 'F5', 'customer': 5, 'cost': 658}, {'facility': 'F5', 'customer': 6, 'cost': 845}, {'facility': 'F5', 'customer': 7, 'cost': 339}, {'facility': 'F5', 'customer': 8, 'cost': 246}, {'facility': 'F5', 'customer': 9, 'cost': 709}, {'facility': 'F5', 'customer': 10, 'cost': 497}, {'facility': 'F5', 'customer': 11, 'cost': 909}, {'facility': 'F5', 'customer': 12, 'cost': 827}, {'facility': 'F5', 'customer': 13, 'cost': 481}, {'facility': 'F5', 'customer': 14, 'cost': 780}, {'facility': 'F5', 'customer': 15, 'cost': 506}, {'facility': 'F6', 'customer': 0, 'cost': 946}, {'facility': 'F6', 'customer': 1, 'cost': 875}, {'facility': 'F6', 'customer': 2, 'cost': 844}, {'facility': 'F6', 'customer': 3, 'cost': 384}, {'facility': 'F6', 'customer': 4, 'cost': 722}, {'facility': 'F6', 'customer': 5, 'cost': 31}, {'facility': 'F6', 'customer': 6, 'cost': 208}, {'facility': 'F6', 'customer': 7, 'cost': 184}, {'facility': 'F6', 'customer': 8, 'cost': 246}, {'facility': 'F6', 'customer': 9, 'cost': 814}, {'facility': 'F6', 'customer': 10, 'cost': 354}, {'facility': 'F6', 'customer': 11, 'cost': 666}, {'facility': 'F6', 'customer': 12, 'cost': 343}, {'facility': 'F6', 'customer': 13, 'cost': 486}, {'facility': 'F6', 'customer': 14, 'cost': 474}, {'facility': 'F6', 'customer': 15, 'cost': 972}, {'facility': 'F7', 'customer': 0, 'cost': 543}, {'facility': 'F7', 'customer': 1, 'cost': 783}, {'facility': 'F7', 'customer': 2, 'cost': 756}, {'facility': 'F7', 'customer': 3, 'cost': 468}, {'facility': 'F7', 'customer': 4, 'cost': 232}, {'facility': 'F7', 'customer': 5, 'cost': 521}, {'facility': 'F7', 'customer': 6, 'cost': 685}, {'facility': 'F7', 'customer': 7, 'cost': 931}, {'facility': 'F7', 'customer': 8, 'cost': 141}, {'facility': 'F7', 'customer': 9, 'cost': 754}, {'facility': 'F7', 'customer': 10, 'cost': 837}, {'facility': 'F7', 'customer': 11, 'cost': 145}, {'facility': 'F7', 'customer': 12, 'cost': 519}, {'facility': 'F7', 'customer': 13, 'cost': 100}, {'facility': 'F7', 'customer': 14, 'cost': 408}, {'facility': 'F7', 'customer': 15, 'cost': 405}, {'facility': 'F8', 'customer': 0, 'cost': 394}, {'facility': 'F8', 'customer': 1, 'cost': 644}, {'facility': 'F8', 'customer': 2, 'cost': 762}, {'facility': 'F8', 'customer': 3, 'cost': 911}, {'facility': 'F8', 'customer': 4, 'cost': 719}, {'facility': 'F8', 'customer': 5, 'cost': 907}, {'facility': 'F8', 'customer': 6, 'cost': 483}, {'facility': 'F8', 'customer': 7, 'cost': 11}, {'facility': 'F8', 'customer': 8, 'cost': 717}, {'facility': 'F8', 'customer': 9, 'cost': 874}, {'facility': 'F8', 'customer': 10, 'cost': 554}, {'facility': 'F8', 'customer': 11, 'cost': 429}, {'facility': 'F8', 'customer': 12, 'cost': 289}, {'facility': 'F8', 'customer': 13, 'cost': 53}, {'facility': 'F8', 'customer': 14, 'cost': 809}, {'facility': 'F8', 'customer': 15, 'cost': 915}], 'objective': 6926.0}","{'selected': ['F1', 'F4'], 'assignments': ['F1', 'F1', 'F4', 'F4', 'F4', 'F1', 'F1', 'F4', 'F4', 'F4', 'F4', 'F4', 'F1', 'F1', 'F4', 'F4']}",34,json,0
UFLP,UFLP,"We coordinate a network of volunteer tutoring spots and are deciding which spots to activate and which active spot each student should go to. Activating a spot costs money, and each student has a travel cost depending on which active spot they’re sent to. Better choices are those where the sum of the activation costs plus all students’ travel costs ends up lowest. Each student must go to one, and only one, active spot; nobody gets skipped. The concrete details are listed below.

We have 8 candidate hubs, 17 learners, and hub activation costs 1530, 1504, 1779, 1900, 1638, 1611, 1657, 1516.
Hub F1 has an activation cost of 1530.
Hub F2 has an activation cost of 1504.
Hub F3 has an activation cost of 1779.
Hub F4 has an activation cost of 1900.
Hub F5 has an activation cost of 1638.
Hub F6 has an activation cost of 1611.
Hub F7 has an activation cost of 1657.
Hub F8 has an activation cost of 1516.
Learner A would incur travel cost 802 if assigned to hub F1.
Learner B would incur travel cost 507 if assigned to hub F1.
Learner C would incur travel cost 743 if assigned to hub F1.
Learner D would incur travel cost 796 if assigned to hub F1.
Learner E would incur travel cost 866 if assigned to hub F1.
Learner F would incur travel cost 627 if assigned to hub F1.
Learner G would incur travel cost 375 if assigned to hub F1.
Learner H would incur travel cost 180 if assigned to hub F1.
Learner I would incur travel cost 486 if assigned to hub F1.
Learner J would incur travel cost 11 if assigned to hub F1.
Learner K would incur travel cost 226 if assigned to hub F1.
Learner L would incur travel cost 455 if assigned to hub F1.
Learner M would incur travel cost 737 if assigned to hub F1.
Learner N would incur travel cost 178 if assigned to hub F1.
Learner O would incur travel cost 716 if assigned to hub F1.
Learner P would incur travel cost 574 if assigned to hub F1.
Learner Q would incur travel cost 774 if assigned to hub F1.
Learner A would incur travel cost 710 if assigned to hub F2.
Learner B would incur travel cost 256 if assigned to hub F2.
Learner C would incur travel cost 485 if assigned to hub F2.
Learner D would incur travel cost 149 if assigned to hub F2.
Learner E would incur travel cost 682 if assigned to hub F2.
Learner F would incur travel cost 435 if assigned to hub F2.
Learner G would incur travel cost 495 if assigned to hub F2.
Learner H would incur travel cost 161 if assigned to hub F2.
Learner I would incur travel cost 657 if assigned to hub F2.
Learner J would incur travel cost 442 if assigned to hub F2.
Learner K would incur travel cost 510 if assigned to hub F2.
Learner L would incur travel cost 859 if assigned to hub F2.
Learner M would incur travel cost 341 if assigned to hub F2.
Learner N would incur travel cost 629 if assigned to hub F2.
Learner O would incur travel cost 452 if assigned to hub F2.
Learner P would incur travel cost 764 if assigned to hub F2.
Learner Q would incur travel cost 475 if assigned to hub F2.
Learner A would incur travel cost 489 if assigned to hub F3.
Learner B would incur travel cost 145 if assigned to hub F3.
Learner C would incur travel cost 49 if assigned to hub F3.
Learner D would incur travel cost 151 if assigned to hub F3.
Learner E would incur travel cost 671 if assigned to hub F3.
Learner F would incur travel cost 151 if assigned to hub F3.
Learner G would incur travel cost 428 if assigned to hub F3.
Learner H would incur travel cost 118 if assigned to hub F3.
Learner I would incur travel cost 823 if assigned to hub F3.
Learner J would incur travel cost 153 if assigned to hub F3.
Learner K would incur travel cost 312 if assigned to hub F3.
Learner L would incur travel cost 81 if assigned to hub F3.
Learner M would incur travel cost 419 if assigned to hub F3.
Learner N would incur travel cost 430 if assigned to hub F3.
Learner O would incur travel cost 733 if assigned to hub F3.
Learner P would incur travel cost 63 if assigned to hub F3.
Learner Q would incur travel cost 874 if assigned to hub F3.
Learner A would incur travel cost 620 if assigned to hub F4.
Learner B would incur travel cost 229 if assigned to hub F4.
Learner C would incur travel cost 546 if assigned to hub F4.
Learner D would incur travel cost 743 if assigned to hub F4.
Learner E would incur travel cost 560 if assigned to hub F4.
Learner F would incur travel cost 414 if assigned to hub F4.
Learner G would incur travel cost 76 if assigned to hub F4.
Learner H would incur travel cost 719 if assigned to hub F4.
Learner I would incur travel cost 833 if assigned to hub F4.
Learner J would incur travel cost 429 if assigned to hub F4.
Learner K would incur travel cost 774 if assigned to hub F4.
Learner L would incur travel cost 661 if assigned to hub F4.
Learner M would incur travel cost 11 if assigned to hub F4.
Learner N would incur travel cost 783 if assigned to hub F4.
Learner O would incur travel cost 513 if assigned to hub F4.
Learner P would incur travel cost 896 if assigned to hub F4.
Learner Q would incur travel cost 652 if assigned to hub F4.
Learner A would incur travel cost 770 if assigned to hub F5.
Learner B would incur travel cost 628 if assigned to hub F5.
Learner C would incur travel cost 372 if assigned to hub F5.
Learner D would incur travel cost 989 if assigned to hub F5.
Learner E would incur travel cost 17 if assigned to hub F5.
Learner F would incur travel cost 804 if assigned to hub F5.
Learner G would incur travel cost 256 if assigned to hub F5.
Learner H would incur travel cost 67 if assigned to hub F5.
Learner I would incur travel cost 281 if assigned to hub F5.
Learner J would incur travel cost 787 if assigned to hub F5.
Learner K would incur travel cost 519 if assigned to hub F5.
Learner L would incur travel cost 853 if assigned to hub F5.
Learner M would incur travel cost 630 if assigned to hub F5.
Learner N would incur travel cost 293 if assigned to hub F5.
Learner O would incur travel cost 166 if assigned to hub F5.
Learner P would incur travel cost 773 if assigned to hub F5.
Learner Q would incur travel cost 160 if assigned to hub F5.
Learner A would incur travel cost 830 if assigned to hub F6.
Learner B would incur travel cost 626 if assigned to hub F6.
Learner C would incur travel cost 262 if assigned to hub F6.
Learner D would incur travel cost 137 if assigned to hub F6.
Learner E would incur travel cost 802 if assigned to hub F6.
Learner F would incur travel cost 500 if assigned to hub F6.
Learner G would incur travel cost 415 if assigned to hub F6.
Learner H would incur travel cost 343 if assigned to hub F6.
Learner I would incur travel cost 803 if assigned to hub F6.
Learner J would incur travel cost 687 if assigned to hub F6.
Learner K would incur travel cost 658 if assigned to hub F6.
Learner L would incur travel cost 992 if assigned to hub F6.
Learner M would incur travel cost 591 if assigned to hub F6.
Learner N would incur travel cost 409 if assigned to hub F6.
Learner O would incur travel cost 620 if assigned to hub F6.
Learner P would incur travel cost 123 if assigned to hub F6.
Learner Q would incur travel cost 54 if assigned to hub F6.
Learner A would incur travel cost 636 if assigned to hub F7.
Learner B would incur travel cost 990 if assigned to hub F7.
Learner C would incur travel cost 214 if assigned to hub F7.
Learner D would incur travel cost 661 if assigned to hub F7.
Learner E would incur travel cost 562 if assigned to hub F7.
Learner F would incur travel cost 211 if assigned to hub F7.
Learner G would incur travel cost 270 if assigned to hub F7.
Learner H would incur travel cost 155 if assigned to hub F7.
Learner I would incur travel cost 429 if assigned to hub F7.
Learner J would incur travel cost 309 if assigned to hub F7.
Learner K would incur travel cost 22 if assigned to hub F7.
Learner L would incur travel cost 824 if assigned to hub F7.
Learner M would incur travel cost 340 if assigned to hub F7.
Learner N would incur travel cost 413 if assigned to hub F7.
Learner O would incur travel cost 697 if assigned to hub F7.
Learner P would incur travel cost 225 if assigned to hub F7.
Learner Q would incur travel cost 343 if assigned to hub F7.
Learner A would incur travel cost 818 if assigned to hub F8.
Learner B would incur travel cost 120 if assigned to hub F8.
Learner C would incur travel cost 847 if assigned to hub F8.
Learner D would incur travel cost 195 if assigned to hub F8.
Learner E would incur travel cost 419 if assigned to hub F8.
Learner F would incur travel cost 564 if assigned to hub F8.
Learner G would incur travel cost 65 if assigned to hub F8.
Learner H would incur travel cost 727 if assigned to hub F8.
Learner I would incur travel cost 882 if assigned to hub F8.
Learner J would incur travel cost 88 if assigned to hub F8.
Learner K would incur travel cost 595 if assigned to hub F8.
Learner L would incur travel cost 822 if assigned to hub F8.
Learner M would incur travel cost 701 if assigned to hub F8.
Learner N would incur travel cost 534 if assigned to hub F8.
Learner O would incur travel cost 364 if assigned to hub F8.
Learner P would incur travel cost 640 if assigned to hub F8.
Learner Q would incur travel cost 580 if assigned to hub F8.
We will use these details to pick which hubs to open and assign each learner so total activation plus travel costs is minimized.

Also, when you send back the actual choices, please use a tiny JSON snippet like this to tell us which spots you activate and which active spot each student goes to.

{
  ""solution"": {
    ""selected"": [<spot_to_activate>, <spot_to_activate>, ...],
    ""assignments"": [<assigned_spot>, <assigned_spot>, ...]
  }
}

This just sketches the shape we want: ""selected"" is the list of spots you decide to activate (one placeholder per spot), and ""assignments"" lists, in order, which active spot each student is sent to. Think of it like filling out a short form — which locations are turned on, and for each student which turned-on spot they’ll use.

The JSON above is only an example of the shape we need, not the answer itself.

One more important thing — use the exact identifiers from the instance input, do not rename them or invent new ones. Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'opening_costs': [1530, 1504, 1779, 1900, 1638, 1611, 1657, 1516], 'connection_costs': [[802, 507, 743, 796, 866, 627, 375, 180, 486, 11, 226, 455, 737, 178, 716, 574, 774], [710, 256, 485, 149, 682, 435, 495, 161, 657, 442, 510, 859, 341, 629, 452, 764, 475], [489, 145, 49, 151, 671, 151, 428, 118, 823, 153, 312, 81, 419, 430, 733, 63, 874], [620, 229, 546, 743, 560, 414, 76, 719, 833, 429, 774, 661, 11, 783, 513, 896, 652], [770, 628, 372, 989, 17, 804, 256, 67, 281, 787, 519, 853, 630, 293, 166, 773, 160], [830, 626, 262, 137, 802, 500, 415, 343, 803, 687, 658, 992, 591, 409, 620, 123, 54], [636, 990, 214, 661, 562, 211, 270, 155, 429, 309, 22, 824, 340, 413, 697, 225, 343], [818, 120, 847, 195, 419, 564, 65, 727, 882, 88, 595, 822, 701, 534, 364, 640, 580]], 'objective': 6670.0}","{'open_facilities': [2, 4], 'assignments': [2, 2, 2, 2, 4, 2, 4, 4, 4, 2, 2, 2, 2, 4, 4, 2, 4]}",6670.0,"{'problem_type': 'UFLP', 'num_facilities': 8, 'num_customers': 17, 'facilities': [{'id': 'F1', 'opening_cost': 1530}, {'id': 'F2', 'opening_cost': 1504}, {'id': 'F3', 'opening_cost': 1779}, {'id': 'F4', 'opening_cost': 1900}, {'id': 'F5', 'opening_cost': 1638}, {'id': 'F6', 'opening_cost': 1611}, {'id': 'F7', 'opening_cost': 1657}, {'id': 'F8', 'opening_cost': 1516}], 'customers': [{'id': 'A'}, {'id': 'B'}, {'id': 'C'}, {'id': 'D'}, {'id': 'E'}, {'id': 'F'}, {'id': 'G'}, {'id': 'H'}, {'id': 'I'}, {'id': 'J'}, {'id': 'K'}, {'id': 'L'}, {'id': 'M'}, {'id': 'N'}, {'id': 'O'}, {'id': 'P'}, {'id': 'Q'}], 'connection_costs': [{'facility': 'F1', 'customer': 'A', 'cost': 802}, {'facility': 'F1', 'customer': 'B', 'cost': 507}, {'facility': 'F1', 'customer': 'C', 'cost': 743}, {'facility': 'F1', 'customer': 'D', 'cost': 796}, {'facility': 'F1', 'customer': 'E', 'cost': 866}, {'facility': 'F1', 'customer': 'F', 'cost': 627}, {'facility': 'F1', 'customer': 'G', 'cost': 375}, {'facility': 'F1', 'customer': 'H', 'cost': 180}, {'facility': 'F1', 'customer': 'I', 'cost': 486}, {'facility': 'F1', 'customer': 'J', 'cost': 11}, {'facility': 'F1', 'customer': 'K', 'cost': 226}, {'facility': 'F1', 'customer': 'L', 'cost': 455}, {'facility': 'F1', 'customer': 'M', 'cost': 737}, {'facility': 'F1', 'customer': 'N', 'cost': 178}, {'facility': 'F1', 'customer': 'O', 'cost': 716}, {'facility': 'F1', 'customer': 'P', 'cost': 574}, {'facility': 'F1', 'customer': 'Q', 'cost': 774}, {'facility': 'F2', 'customer': 'A', 'cost': 710}, {'facility': 'F2', 'customer': 'B', 'cost': 256}, {'facility': 'F2', 'customer': 'C', 'cost': 485}, {'facility': 'F2', 'customer': 'D', 'cost': 149}, {'facility': 'F2', 'customer': 'E', 'cost': 682}, {'facility': 'F2', 'customer': 'F', 'cost': 435}, {'facility': 'F2', 'customer': 'G', 'cost': 495}, {'facility': 'F2', 'customer': 'H', 'cost': 161}, {'facility': 'F2', 'customer': 'I', 'cost': 657}, {'facility': 'F2', 'customer': 'J', 'cost': 442}, {'facility': 'F2', 'customer': 'K', 'cost': 510}, {'facility': 'F2', 'customer': 'L', 'cost': 859}, {'facility': 'F2', 'customer': 'M', 'cost': 341}, {'facility': 'F2', 'customer': 'N', 'cost': 629}, {'facility': 'F2', 'customer': 'O', 'cost': 452}, {'facility': 'F2', 'customer': 'P', 'cost': 764}, {'facility': 'F2', 'customer': 'Q', 'cost': 475}, {'facility': 'F3', 'customer': 'A', 'cost': 489}, {'facility': 'F3', 'customer': 'B', 'cost': 145}, {'facility': 'F3', 'customer': 'C', 'cost': 49}, {'facility': 'F3', 'customer': 'D', 'cost': 151}, {'facility': 'F3', 'customer': 'E', 'cost': 671}, {'facility': 'F3', 'customer': 'F', 'cost': 151}, {'facility': 'F3', 'customer': 'G', 'cost': 428}, {'facility': 'F3', 'customer': 'H', 'cost': 118}, {'facility': 'F3', 'customer': 'I', 'cost': 823}, {'facility': 'F3', 'customer': 'J', 'cost': 153}, {'facility': 'F3', 'customer': 'K', 'cost': 312}, {'facility': 'F3', 'customer': 'L', 'cost': 81}, {'facility': 'F3', 'customer': 'M', 'cost': 419}, {'facility': 'F3', 'customer': 'N', 'cost': 430}, {'facility': 'F3', 'customer': 'O', 'cost': 733}, {'facility': 'F3', 'customer': 'P', 'cost': 63}, {'facility': 'F3', 'customer': 'Q', 'cost': 874}, {'facility': 'F4', 'customer': 'A', 'cost': 620}, {'facility': 'F4', 'customer': 'B', 'cost': 229}, {'facility': 'F4', 'customer': 'C', 'cost': 546}, {'facility': 'F4', 'customer': 'D', 'cost': 743}, {'facility': 'F4', 'customer': 'E', 'cost': 560}, {'facility': 'F4', 'customer': 'F', 'cost': 414}, {'facility': 'F4', 'customer': 'G', 'cost': 76}, {'facility': 'F4', 'customer': 'H', 'cost': 719}, {'facility': 'F4', 'customer': 'I', 'cost': 833}, {'facility': 'F4', 'customer': 'J', 'cost': 429}, {'facility': 'F4', 'customer': 'K', 'cost': 774}, {'facility': 'F4', 'customer': 'L', 'cost': 661}, {'facility': 'F4', 'customer': 'M', 'cost': 11}, {'facility': 'F4', 'customer': 'N', 'cost': 783}, {'facility': 'F4', 'customer': 'O', 'cost': 513}, {'facility': 'F4', 'customer': 'P', 'cost': 896}, {'facility': 'F4', 'customer': 'Q', 'cost': 652}, {'facility': 'F5', 'customer': 'A', 'cost': 770}, {'facility': 'F5', 'customer': 'B', 'cost': 628}, {'facility': 'F5', 'customer': 'C', 'cost': 372}, {'facility': 'F5', 'customer': 'D', 'cost': 989}, {'facility': 'F5', 'customer': 'E', 'cost': 17}, {'facility': 'F5', 'customer': 'F', 'cost': 804}, {'facility': 'F5', 'customer': 'G', 'cost': 256}, {'facility': 'F5', 'customer': 'H', 'cost': 67}, {'facility': 'F5', 'customer': 'I', 'cost': 281}, {'facility': 'F5', 'customer': 'J', 'cost': 787}, {'facility': 'F5', 'customer': 'K', 'cost': 519}, {'facility': 'F5', 'customer': 'L', 'cost': 853}, {'facility': 'F5', 'customer': 'M', 'cost': 630}, {'facility': 'F5', 'customer': 'N', 'cost': 293}, {'facility': 'F5', 'customer': 'O', 'cost': 166}, {'facility': 'F5', 'customer': 'P', 'cost': 773}, {'facility': 'F5', 'customer': 'Q', 'cost': 160}, {'facility': 'F6', 'customer': 'A', 'cost': 830}, {'facility': 'F6', 'customer': 'B', 'cost': 626}, {'facility': 'F6', 'customer': 'C', 'cost': 262}, {'facility': 'F6', 'customer': 'D', 'cost': 137}, {'facility': 'F6', 'customer': 'E', 'cost': 802}, {'facility': 'F6', 'customer': 'F', 'cost': 500}, {'facility': 'F6', 'customer': 'G', 'cost': 415}, {'facility': 'F6', 'customer': 'H', 'cost': 343}, {'facility': 'F6', 'customer': 'I', 'cost': 803}, {'facility': 'F6', 'customer': 'J', 'cost': 687}, {'facility': 'F6', 'customer': 'K', 'cost': 658}, {'facility': 'F6', 'customer': 'L', 'cost': 992}, {'facility': 'F6', 'customer': 'M', 'cost': 591}, {'facility': 'F6', 'customer': 'N', 'cost': 409}, {'facility': 'F6', 'customer': 'O', 'cost': 620}, {'facility': 'F6', 'customer': 'P', 'cost': 123}, {'facility': 'F6', 'customer': 'Q', 'cost': 54}, {'facility': 'F7', 'customer': 'A', 'cost': 636}, {'facility': 'F7', 'customer': 'B', 'cost': 990}, {'facility': 'F7', 'customer': 'C', 'cost': 214}, {'facility': 'F7', 'customer': 'D', 'cost': 661}, {'facility': 'F7', 'customer': 'E', 'cost': 562}, {'facility': 'F7', 'customer': 'F', 'cost': 211}, {'facility': 'F7', 'customer': 'G', 'cost': 270}, {'facility': 'F7', 'customer': 'H', 'cost': 155}, {'facility': 'F7', 'customer': 'I', 'cost': 429}, {'facility': 'F7', 'customer': 'J', 'cost': 309}, {'facility': 'F7', 'customer': 'K', 'cost': 22}, {'facility': 'F7', 'customer': 'L', 'cost': 824}, {'facility': 'F7', 'customer': 'M', 'cost': 340}, {'facility': 'F7', 'customer': 'N', 'cost': 413}, {'facility': 'F7', 'customer': 'O', 'cost': 697}, {'facility': 'F7', 'customer': 'P', 'cost': 225}, {'facility': 'F7', 'customer': 'Q', 'cost': 343}, {'facility': 'F8', 'customer': 'A', 'cost': 818}, {'facility': 'F8', 'customer': 'B', 'cost': 120}, {'facility': 'F8', 'customer': 'C', 'cost': 847}, {'facility': 'F8', 'customer': 'D', 'cost': 195}, {'facility': 'F8', 'customer': 'E', 'cost': 419}, {'facility': 'F8', 'customer': 'F', 'cost': 564}, {'facility': 'F8', 'customer': 'G', 'cost': 65}, {'facility': 'F8', 'customer': 'H', 'cost': 727}, {'facility': 'F8', 'customer': 'I', 'cost': 882}, {'facility': 'F8', 'customer': 'J', 'cost': 88}, {'facility': 'F8', 'customer': 'K', 'cost': 595}, {'facility': 'F8', 'customer': 'L', 'cost': 822}, {'facility': 'F8', 'customer': 'M', 'cost': 701}, {'facility': 'F8', 'customer': 'N', 'cost': 534}, {'facility': 'F8', 'customer': 'O', 'cost': 364}, {'facility': 'F8', 'customer': 'P', 'cost': 640}, {'facility': 'F8', 'customer': 'Q', 'cost': 580}], 'objective': 6670.0}","{'selected': ['F3', 'F5'], 'assignments': ['F3', 'F3', 'F3', 'F3', 'F5', 'F3', 'F5', 'F5', 'F5', 'F3', 'F3', 'F3', 'F3', 'F5', 'F5', 'F3', 'F5']}",35,nl,names
UFLP,UFLP,"Recently during the response phase it became clear: decide which depots to activate and assign every affected household to one of the open depots. Activating a depot comes with a price, and every household will incur some effort to reach the depot they’re sent to. The plan that wins is the one with the lowest overall sum — add together the operating cost for every opened depot and the pickup effort for every household. Every household has to be assigned to exactly one open depot; nothing is omitted or duplicated. The concrete details appear below.

# num_depots=7
# num_households=17
# DEPOTS
depot_id,depot_opening_cost
F1,1965
F2,1101
F3,1129
F4,1724
F5,1082
F6,1469
F7,1996
# HOUSEHOLDS
household_id
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
# PICKUP_EFFORTS
depot_id,household_id,pickup_effort
F1,A,636
F1,B,790
F1,C,596
F1,D,380
F1,E,336
F1,F,413
F1,G,634
F1,H,547
F1,I,455
F1,J,45
F1,K,41
F1,L,476
F1,M,134
F1,N,24
F1,O,23
F1,P,760
F1,Q,626
F2,A,925
F2,B,729
F2,C,164
F2,D,561
F2,E,414
F2,F,363
F2,G,888
F2,H,140
F2,I,347
F2,J,176
F2,K,120
F2,L,171
F2,M,10
F2,N,465
F2,O,793
F2,P,416
F2,Q,387
F3,A,197
F3,B,36
F3,C,783
F3,D,593
F3,E,529
F3,F,42
F3,G,448
F3,H,370
F3,I,613
F3,J,105
F3,K,14
F3,L,266
F3,M,917
F3,N,318
F3,O,644
F3,P,109
F3,Q,985
F4,A,462
F4,B,777
F4,C,198
F4,D,935
F4,E,24
F4,F,321
F4,G,83
F4,H,972
F4,I,22
F4,J,160
F4,K,721
F4,L,170
F4,M,797
F4,N,210
F4,O,262
F4,P,975
F4,Q,700
F5,A,117
F5,B,424
F5,C,758
F5,D,597
F5,E,199
F5,F,773
F5,G,731
F5,H,732
F5,I,831
F5,J,383
F5,K,555
F5,L,670
F5,M,497
F5,N,257
F5,O,133
F5,P,854
F5,Q,153
F6,A,919
F6,B,589
F6,C,793
F6,D,88
F6,E,80
F6,F,108
F6,G,10
F6,H,467
F6,I,925
F6,J,254
F6,K,506
F6,L,903
F6,M,409
F6,N,177
F6,O,892
F6,P,315
F6,Q,150
F7,A,990
F7,B,321
F7,C,979
F7,D,680
F7,E,26
F7,F,385
F7,G,233
F7,H,40
F7,I,966
F7,J,204
F7,K,34
F7,L,59
F7,M,279
F7,N,701
F7,O,417
F7,P,798
F7,Q,627

Oh, and when you send the plan back, just use a tiny JSON object like this — nothing fancy, just that shape:

{
  ""solution"": {
    ""selected"": [<site_to_open>, <site_to_open>, ...],
    ""assignments"": [<chosen_open_site>, <chosen_open_site>, ...]
  }
}

""selected"" is the list of depots/depots-to-activate (the ones we pay to open). ""assignments"" lists, in order, which open depot each household is sent to. Super simple, like filling out a form — which depots, and which depot for each household.

This is just a sketch of the shape I need, not the actual answer. Please make sure all identifiers you use match the instance input exactly — don't rename or invent labels. Valid identifiers look like plain numbers such as ""1"" or ""23"", single capital letters like ""A"" or ""B"", or a capital letter followed by digits like ""A1"" or ""X7"".","{'opening_costs': [1965, 1101, 1129, 1724, 1082, 1469, 1996], 'connection_costs': [[636, 790, 596, 380, 336, 413, 634, 547, 455, 45, 41, 476, 134, 24, 23, 760, 626], [925, 729, 164, 561, 414, 363, 888, 140, 347, 176, 120, 171, 10, 465, 793, 416, 387], [197, 36, 783, 593, 529, 42, 448, 370, 613, 105, 14, 266, 917, 318, 644, 109, 985], [462, 777, 198, 935, 24, 321, 83, 972, 22, 160, 721, 170, 797, 210, 262, 975, 700], [117, 424, 758, 597, 199, 773, 731, 732, 831, 383, 555, 670, 497, 257, 133, 854, 153], [919, 589, 793, 88, 80, 108, 10, 467, 925, 254, 506, 903, 409, 177, 892, 315, 150], [990, 321, 979, 680, 26, 385, 233, 40, 966, 204, 34, 59, 279, 701, 417, 798, 627]], 'objective': 6183.0}","{'open_facilities': [1, 2, 5], 'assignments': [2, 2, 1, 5, 5, 2, 5, 1, 1, 2, 2, 1, 1, 5, 2, 2, 5]}",6183.0,"{'problem_type': 'UFLP', 'num_facilities': 7, 'num_customers': 17, 'facilities': [{'id': 'F1', 'opening_cost': 1965}, {'id': 'F2', 'opening_cost': 1101}, {'id': 'F3', 'opening_cost': 1129}, {'id': 'F4', 'opening_cost': 1724}, {'id': 'F5', 'opening_cost': 1082}, {'id': 'F6', 'opening_cost': 1469}, {'id': 'F7', 'opening_cost': 1996}], 'customers': [{'id': 'A'}, {'id': 'B'}, {'id': 'C'}, {'id': 'D'}, {'id': 'E'}, {'id': 'F'}, {'id': 'G'}, {'id': 'H'}, {'id': 'I'}, {'id': 'J'}, {'id': 'K'}, {'id': 'L'}, {'id': 'M'}, {'id': 'N'}, {'id': 'O'}, {'id': 'P'}, {'id': 'Q'}], 'connection_costs': [{'facility': 'F1', 'customer': 'A', 'cost': 636}, {'facility': 'F1', 'customer': 'B', 'cost': 790}, {'facility': 'F1', 'customer': 'C', 'cost': 596}, {'facility': 'F1', 'customer': 'D', 'cost': 380}, {'facility': 'F1', 'customer': 'E', 'cost': 336}, {'facility': 'F1', 'customer': 'F', 'cost': 413}, {'facility': 'F1', 'customer': 'G', 'cost': 634}, {'facility': 'F1', 'customer': 'H', 'cost': 547}, {'facility': 'F1', 'customer': 'I', 'cost': 455}, {'facility': 'F1', 'customer': 'J', 'cost': 45}, {'facility': 'F1', 'customer': 'K', 'cost': 41}, {'facility': 'F1', 'customer': 'L', 'cost': 476}, {'facility': 'F1', 'customer': 'M', 'cost': 134}, {'facility': 'F1', 'customer': 'N', 'cost': 24}, {'facility': 'F1', 'customer': 'O', 'cost': 23}, {'facility': 'F1', 'customer': 'P', 'cost': 760}, {'facility': 'F1', 'customer': 'Q', 'cost': 626}, {'facility': 'F2', 'customer': 'A', 'cost': 925}, {'facility': 'F2', 'customer': 'B', 'cost': 729}, {'facility': 'F2', 'customer': 'C', 'cost': 164}, {'facility': 'F2', 'customer': 'D', 'cost': 561}, {'facility': 'F2', 'customer': 'E', 'cost': 414}, {'facility': 'F2', 'customer': 'F', 'cost': 363}, {'facility': 'F2', 'customer': 'G', 'cost': 888}, {'facility': 'F2', 'customer': 'H', 'cost': 140}, {'facility': 'F2', 'customer': 'I', 'cost': 347}, {'facility': 'F2', 'customer': 'J', 'cost': 176}, {'facility': 'F2', 'customer': 'K', 'cost': 120}, {'facility': 'F2', 'customer': 'L', 'cost': 171}, {'facility': 'F2', 'customer': 'M', 'cost': 10}, {'facility': 'F2', 'customer': 'N', 'cost': 465}, {'facility': 'F2', 'customer': 'O', 'cost': 793}, {'facility': 'F2', 'customer': 'P', 'cost': 416}, {'facility': 'F2', 'customer': 'Q', 'cost': 387}, {'facility': 'F3', 'customer': 'A', 'cost': 197}, {'facility': 'F3', 'customer': 'B', 'cost': 36}, {'facility': 'F3', 'customer': 'C', 'cost': 783}, {'facility': 'F3', 'customer': 'D', 'cost': 593}, {'facility': 'F3', 'customer': 'E', 'cost': 529}, {'facility': 'F3', 'customer': 'F', 'cost': 42}, {'facility': 'F3', 'customer': 'G', 'cost': 448}, {'facility': 'F3', 'customer': 'H', 'cost': 370}, {'facility': 'F3', 'customer': 'I', 'cost': 613}, {'facility': 'F3', 'customer': 'J', 'cost': 105}, {'facility': 'F3', 'customer': 'K', 'cost': 14}, {'facility': 'F3', 'customer': 'L', 'cost': 266}, {'facility': 'F3', 'customer': 'M', 'cost': 917}, {'facility': 'F3', 'customer': 'N', 'cost': 318}, {'facility': 'F3', 'customer': 'O', 'cost': 644}, {'facility': 'F3', 'customer': 'P', 'cost': 109}, {'facility': 'F3', 'customer': 'Q', 'cost': 985}, {'facility': 'F4', 'customer': 'A', 'cost': 462}, {'facility': 'F4', 'customer': 'B', 'cost': 777}, {'facility': 'F4', 'customer': 'C', 'cost': 198}, {'facility': 'F4', 'customer': 'D', 'cost': 935}, {'facility': 'F4', 'customer': 'E', 'cost': 24}, {'facility': 'F4', 'customer': 'F', 'cost': 321}, {'facility': 'F4', 'customer': 'G', 'cost': 83}, {'facility': 'F4', 'customer': 'H', 'cost': 972}, {'facility': 'F4', 'customer': 'I', 'cost': 22}, {'facility': 'F4', 'customer': 'J', 'cost': 160}, {'facility': 'F4', 'customer': 'K', 'cost': 721}, {'facility': 'F4', 'customer': 'L', 'cost': 170}, {'facility': 'F4', 'customer': 'M', 'cost': 797}, {'facility': 'F4', 'customer': 'N', 'cost': 210}, {'facility': 'F4', 'customer': 'O', 'cost': 262}, {'facility': 'F4', 'customer': 'P', 'cost': 975}, {'facility': 'F4', 'customer': 'Q', 'cost': 700}, {'facility': 'F5', 'customer': 'A', 'cost': 117}, {'facility': 'F5', 'customer': 'B', 'cost': 424}, {'facility': 'F5', 'customer': 'C', 'cost': 758}, {'facility': 'F5', 'customer': 'D', 'cost': 597}, {'facility': 'F5', 'customer': 'E', 'cost': 199}, {'facility': 'F5', 'customer': 'F', 'cost': 773}, {'facility': 'F5', 'customer': 'G', 'cost': 731}, {'facility': 'F5', 'customer': 'H', 'cost': 732}, {'facility': 'F5', 'customer': 'I', 'cost': 831}, {'facility': 'F5', 'customer': 'J', 'cost': 383}, {'facility': 'F5', 'customer': 'K', 'cost': 555}, {'facility': 'F5', 'customer': 'L', 'cost': 670}, {'facility': 'F5', 'customer': 'M', 'cost': 497}, {'facility': 'F5', 'customer': 'N', 'cost': 257}, {'facility': 'F5', 'customer': 'O', 'cost': 133}, {'facility': 'F5', 'customer': 'P', 'cost': 854}, {'facility': 'F5', 'customer': 'Q', 'cost': 153}, {'facility': 'F6', 'customer': 'A', 'cost': 919}, {'facility': 'F6', 'customer': 'B', 'cost': 589}, {'facility': 'F6', 'customer': 'C', 'cost': 793}, {'facility': 'F6', 'customer': 'D', 'cost': 88}, {'facility': 'F6', 'customer': 'E', 'cost': 80}, {'facility': 'F6', 'customer': 'F', 'cost': 108}, {'facility': 'F6', 'customer': 'G', 'cost': 10}, {'facility': 'F6', 'customer': 'H', 'cost': 467}, {'facility': 'F6', 'customer': 'I', 'cost': 925}, {'facility': 'F6', 'customer': 'J', 'cost': 254}, {'facility': 'F6', 'customer': 'K', 'cost': 506}, {'facility': 'F6', 'customer': 'L', 'cost': 903}, {'facility': 'F6', 'customer': 'M', 'cost': 409}, {'facility': 'F6', 'customer': 'N', 'cost': 177}, {'facility': 'F6', 'customer': 'O', 'cost': 892}, {'facility': 'F6', 'customer': 'P', 'cost': 315}, {'facility': 'F6', 'customer': 'Q', 'cost': 150}, {'facility': 'F7', 'customer': 'A', 'cost': 990}, {'facility': 'F7', 'customer': 'B', 'cost': 321}, {'facility': 'F7', 'customer': 'C', 'cost': 979}, {'facility': 'F7', 'customer': 'D', 'cost': 680}, {'facility': 'F7', 'customer': 'E', 'cost': 26}, {'facility': 'F7', 'customer': 'F', 'cost': 385}, {'facility': 'F7', 'customer': 'G', 'cost': 233}, {'facility': 'F7', 'customer': 'H', 'cost': 40}, {'facility': 'F7', 'customer': 'I', 'cost': 966}, {'facility': 'F7', 'customer': 'J', 'cost': 204}, {'facility': 'F7', 'customer': 'K', 'cost': 34}, {'facility': 'F7', 'customer': 'L', 'cost': 59}, {'facility': 'F7', 'customer': 'M', 'cost': 279}, {'facility': 'F7', 'customer': 'N', 'cost': 701}, {'facility': 'F7', 'customer': 'O', 'cost': 417}, {'facility': 'F7', 'customer': 'P', 'cost': 798}, {'facility': 'F7', 'customer': 'Q', 'cost': 627}], 'objective': 6183.0}","{'selected': ['F2', 'F3', 'F6'], 'assignments': ['F3', 'F3', 'F2', 'F6', 'F6', 'F3', 'F6', 'F2', 'F2', 'F3', 'F3', 'F2', 'F2', 'F6', 'F3', 'F3', 'F6']}",36,csv,names
UFLP,UFLP,"Recently the team running a neighborhood art rental decided to rethink which pickup spots to offer and who should use each spot. The idea is to balance the cost of running each spot with how much it costs clients to get there — the plan that wins is the one with the lowest sum of the chosen spots’ operating fees plus all clients’ connection costs. It’s important that every client is assigned to one, and only one, open pickup point (no sharing and no leaving anyone out). The concrete details are provided below.

There are 7 pickup points and 15 clients in this instance.

**Pickup Points**
| pickup_point_id | operation_fee |
|---|---|
| F1 | 1000 |
| F2 | 1000 |
| F3 | 1000 |
| F4 | 1000 |
| F5 | 1000 |
| F6 | 1000 |
| F7 | 1000 |

**Clients**
| client_id |
|---|
| 1 |
| 2 |
| 3 |
| 4 |
| 5 |
| 6 |
| 7 |
| 8 |
| 9 |
| 10 |
| 11 |
| 12 |
| 13 |
| 14 |
| 15 |

**Client Travel Cost**
| pickup_point_id | client_id | client_travel_cost |
|---|---|---|
| F1 | 1 | 45 |
| F1 | 2 | 789 |
| F1 | 3 | 743 |
| F1 | 4 | 189 |
| F1 | 5 | 311 |
| F1 | 6 | 939 |
| F1 | 7 | 421 |
| F1 | 8 | 637 |
| F1 | 9 | 609 |
| F1 | 10 | 385 |
| F1 | 11 | 736 |
| F1 | 12 | 46 |
| F1 | 13 | 122 |
| F1 | 14 | 796 |
| F1 | 15 | 22 |
| F2 | 1 | 514 |
| F2 | 2 | 731 |
| F2 | 3 | 743 |
| F2 | 4 | 697 |
| F2 | 5 | 823 |
| F2 | 6 | 550 |
| F2 | 7 | 765 |
| F2 | 8 | 225 |
| F2 | 9 | 466 |
| F2 | 10 | 577 |
| F2 | 11 | 948 |
| F2 | 12 | 560 |
| F2 | 13 | 213 |
| F2 | 14 | 113 |
| F2 | 15 | 824 |
| F3 | 1 | 564 |
| F3 | 2 | 678 |
| F3 | 3 | 238 |
| F3 | 4 | 23 |
| F3 | 5 | 360 |
| F3 | 6 | 281 |
| F3 | 7 | 68 |
| F3 | 8 | 341 |
| F3 | 9 | 23 |
| F3 | 10 | 279 |
| F3 | 11 | 13 |
| F3 | 12 | 296 |
| F3 | 13 | 367 |
| F3 | 14 | 624 |
| F3 | 15 | 874 |
| F4 | 1 | 404 |
| F4 | 2 | 713 |
| F4 | 3 | 645 |
| F4 | 4 | 687 |
| F4 | 5 | 58 |
| F4 | 6 | 155 |
| F4 | 7 | 408 |
| F4 | 8 | 553 |
| F4 | 9 | 943 |
| F4 | 10 | 75 |
| F4 | 11 | 750 |
| F4 | 12 | 732 |
| F4 | 13 | 92 |
| F4 | 14 | 852 |
| F4 | 15 | 833 |
| F5 | 1 | 498 |
| F5 | 2 | 256 |
| F5 | 3 | 936 |
| F5 | 4 | 37 |
| F5 | 5 | 824 |
| F5 | 6 | 750 |
| F5 | 7 | 610 |
| F5 | 8 | 733 |
| F5 | 9 | 162 |
| F5 | 10 | 10 |
| F5 | 11 | 987 |
| F5 | 12 | 678 |
| F5 | 13 | 472 |
| F5 | 14 | 312 |
| F5 | 15 | 397 |
| F6 | 1 | 332 |
| F6 | 2 | 143 |
| F6 | 3 | 888 |
| F6 | 4 | 930 |
| F6 | 5 | 985 |
| F6 | 6 | 509 |
| F6 | 7 | 175 |
| F6 | 8 | 137 |
| F6 | 9 | 218 |
| F6 | 10 | 789 |
| F6 | 11 | 894 |
| F6 | 12 | 374 |
| F6 | 13 | 637 |
| F6 | 14 | 199 |
| F6 | 15 | 113 |
| F7 | 1 | 369 |
| F7 | 2 | 279 |
| F7 | 3 | 804 |
| F7 | 4 | 197 |
| F7 | 5 | 430 |
| F7 | 6 | 254 |
| F7 | 7 | 479 |
| F7 | 8 | 838 |
| F7 | 9 | 444 |
| F7 | 10 | 267 |
| F7 | 11 | 633 |
| F7 | 12 | 825 |
| F7 | 13 | 202 |
| F7 | 14 | 174 |
| F7 | 15 | 172 |

Oh, and when you send the final pick of spots and who goes where, please use a simple JSON shape like this so I can read it automatically:

{
  ""solution"": {
    ""selected"": [<pickup_spot>, <pickup_spot>, ...],
    ""assignments"": [<assigned_spot>, <assigned_spot>, ...]
  }
}

Pretty straightforward: ""selected"" is the list of pickup spots you choose to open, and ""assignments"" lists, in customer order, which open spot each customer will use. Think of it like filling out a quick form — this is just the expected shape, not the final content.

Important: use the exact identifiers from the instance input — do not rename or invent labels. Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'opening_costs': [1000, 1000, 1000, 1000, 1000, 1000, 1000], 'connection_costs': [[45, 789, 743, 189, 311, 939, 421, 637, 609, 385, 736, 46, 122, 796, 22], [514, 731, 743, 697, 823, 550, 765, 225, 466, 577, 948, 560, 213, 113, 824], [564, 678, 238, 23, 360, 281, 68, 341, 23, 279, 13, 296, 367, 624, 874], [404, 713, 645, 687, 58, 155, 408, 553, 943, 75, 750, 732, 92, 852, 833], [498, 256, 936, 37, 824, 750, 610, 733, 162, 10, 987, 678, 472, 312, 397], [332, 143, 888, 930, 985, 509, 175, 137, 218, 789, 894, 374, 637, 199, 113], [369, 279, 804, 197, 430, 254, 479, 838, 444, 267, 633, 825, 202, 174, 172]], 'objective': 4872.0}","{'open_facilities': [2, 5], 'assignments': [5, 5, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 5, 5]}",4872.0,"{'problem_type': 'UFLP', 'num_facilities': 7, 'num_customers': 15, 'facilities': [{'id': 'F1', 'opening_cost': 1000}, {'id': 'F2', 'opening_cost': 1000}, {'id': 'F3', 'opening_cost': 1000}, {'id': 'F4', 'opening_cost': 1000}, {'id': 'F5', 'opening_cost': 1000}, {'id': 'F6', 'opening_cost': 1000}, {'id': 'F7', 'opening_cost': 1000}], 'customers': [{'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}], 'connection_costs': [{'facility': 'F1', 'customer': 1, 'cost': 45}, {'facility': 'F1', 'customer': 2, 'cost': 789}, {'facility': 'F1', 'customer': 3, 'cost': 743}, {'facility': 'F1', 'customer': 4, 'cost': 189}, {'facility': 'F1', 'customer': 5, 'cost': 311}, {'facility': 'F1', 'customer': 6, 'cost': 939}, {'facility': 'F1', 'customer': 7, 'cost': 421}, {'facility': 'F1', 'customer': 8, 'cost': 637}, {'facility': 'F1', 'customer': 9, 'cost': 609}, {'facility': 'F1', 'customer': 10, 'cost': 385}, {'facility': 'F1', 'customer': 11, 'cost': 736}, {'facility': 'F1', 'customer': 12, 'cost': 46}, {'facility': 'F1', 'customer': 13, 'cost': 122}, {'facility': 'F1', 'customer': 14, 'cost': 796}, {'facility': 'F1', 'customer': 15, 'cost': 22}, {'facility': 'F2', 'customer': 1, 'cost': 514}, {'facility': 'F2', 'customer': 2, 'cost': 731}, {'facility': 'F2', 'customer': 3, 'cost': 743}, {'facility': 'F2', 'customer': 4, 'cost': 697}, {'facility': 'F2', 'customer': 5, 'cost': 823}, {'facility': 'F2', 'customer': 6, 'cost': 550}, {'facility': 'F2', 'customer': 7, 'cost': 765}, {'facility': 'F2', 'customer': 8, 'cost': 225}, {'facility': 'F2', 'customer': 9, 'cost': 466}, {'facility': 'F2', 'customer': 10, 'cost': 577}, {'facility': 'F2', 'customer': 11, 'cost': 948}, {'facility': 'F2', 'customer': 12, 'cost': 560}, {'facility': 'F2', 'customer': 13, 'cost': 213}, {'facility': 'F2', 'customer': 14, 'cost': 113}, {'facility': 'F2', 'customer': 15, 'cost': 824}, {'facility': 'F3', 'customer': 1, 'cost': 564}, {'facility': 'F3', 'customer': 2, 'cost': 678}, {'facility': 'F3', 'customer': 3, 'cost': 238}, {'facility': 'F3', 'customer': 4, 'cost': 23}, {'facility': 'F3', 'customer': 5, 'cost': 360}, {'facility': 'F3', 'customer': 6, 'cost': 281}, {'facility': 'F3', 'customer': 7, 'cost': 68}, {'facility': 'F3', 'customer': 8, 'cost': 341}, {'facility': 'F3', 'customer': 9, 'cost': 23}, {'facility': 'F3', 'customer': 10, 'cost': 279}, {'facility': 'F3', 'customer': 11, 'cost': 13}, {'facility': 'F3', 'customer': 12, 'cost': 296}, {'facility': 'F3', 'customer': 13, 'cost': 367}, {'facility': 'F3', 'customer': 14, 'cost': 624}, {'facility': 'F3', 'customer': 15, 'cost': 874}, {'facility': 'F4', 'customer': 1, 'cost': 404}, {'facility': 'F4', 'customer': 2, 'cost': 713}, {'facility': 'F4', 'customer': 3, 'cost': 645}, {'facility': 'F4', 'customer': 4, 'cost': 687}, {'facility': 'F4', 'customer': 5, 'cost': 58}, {'facility': 'F4', 'customer': 6, 'cost': 155}, {'facility': 'F4', 'customer': 7, 'cost': 408}, {'facility': 'F4', 'customer': 8, 'cost': 553}, {'facility': 'F4', 'customer': 9, 'cost': 943}, {'facility': 'F4', 'customer': 10, 'cost': 75}, {'facility': 'F4', 'customer': 11, 'cost': 750}, {'facility': 'F4', 'customer': 12, 'cost': 732}, {'facility': 'F4', 'customer': 13, 'cost': 92}, {'facility': 'F4', 'customer': 14, 'cost': 852}, {'facility': 'F4', 'customer': 15, 'cost': 833}, {'facility': 'F5', 'customer': 1, 'cost': 498}, {'facility': 'F5', 'customer': 2, 'cost': 256}, {'facility': 'F5', 'customer': 3, 'cost': 936}, {'facility': 'F5', 'customer': 4, 'cost': 37}, {'facility': 'F5', 'customer': 5, 'cost': 824}, {'facility': 'F5', 'customer': 6, 'cost': 750}, {'facility': 'F5', 'customer': 7, 'cost': 610}, {'facility': 'F5', 'customer': 8, 'cost': 733}, {'facility': 'F5', 'customer': 9, 'cost': 162}, {'facility': 'F5', 'customer': 10, 'cost': 10}, {'facility': 'F5', 'customer': 11, 'cost': 987}, {'facility': 'F5', 'customer': 12, 'cost': 678}, {'facility': 'F5', 'customer': 13, 'cost': 472}, {'facility': 'F5', 'customer': 14, 'cost': 312}, {'facility': 'F5', 'customer': 15, 'cost': 397}, {'facility': 'F6', 'customer': 1, 'cost': 332}, {'facility': 'F6', 'customer': 2, 'cost': 143}, {'facility': 'F6', 'customer': 3, 'cost': 888}, {'facility': 'F6', 'customer': 4, 'cost': 930}, {'facility': 'F6', 'customer': 5, 'cost': 985}, {'facility': 'F6', 'customer': 6, 'cost': 509}, {'facility': 'F6', 'customer': 7, 'cost': 175}, {'facility': 'F6', 'customer': 8, 'cost': 137}, {'facility': 'F6', 'customer': 9, 'cost': 218}, {'facility': 'F6', 'customer': 10, 'cost': 789}, {'facility': 'F6', 'customer': 11, 'cost': 894}, {'facility': 'F6', 'customer': 12, 'cost': 374}, {'facility': 'F6', 'customer': 13, 'cost': 637}, {'facility': 'F6', 'customer': 14, 'cost': 199}, {'facility': 'F6', 'customer': 15, 'cost': 113}, {'facility': 'F7', 'customer': 1, 'cost': 369}, {'facility': 'F7', 'customer': 2, 'cost': 279}, {'facility': 'F7', 'customer': 3, 'cost': 804}, {'facility': 'F7', 'customer': 4, 'cost': 197}, {'facility': 'F7', 'customer': 5, 'cost': 430}, {'facility': 'F7', 'customer': 6, 'cost': 254}, {'facility': 'F7', 'customer': 7, 'cost': 479}, {'facility': 'F7', 'customer': 8, 'cost': 838}, {'facility': 'F7', 'customer': 9, 'cost': 444}, {'facility': 'F7', 'customer': 10, 'cost': 267}, {'facility': 'F7', 'customer': 11, 'cost': 633}, {'facility': 'F7', 'customer': 12, 'cost': 825}, {'facility': 'F7', 'customer': 13, 'cost': 202}, {'facility': 'F7', 'customer': 14, 'cost': 174}, {'facility': 'F7', 'customer': 15, 'cost': 172}], 'objective': 4872.0}","{'selected': ['F3', 'F6'], 'assignments': ['F6', 'F6', 'F3', 'F3', 'F3', 'F3', 'F3', 'F6', 'F3', 'F3', 'F3', 'F3', 'F3', 'F6', 'F6']}",37,markdown_table,1
UFLP,UFLP,"Many people in town use a subscription meal-kit, and the business needs to choose which packing locations to run and which location handles each order. Running a location costs a flat fee, and each order has a shipping cost depending on where it’s packed; the total cost to watch is simply the sum of the running fees for chosen locations plus the shipping costs for every assigned order. Every order has to be packed exactly once at an open location. The concrete instance info is below.

There are 6 candidate packing centers and 16 customer orders, and the list of opening fees is 6238, 3244, 7474, 3397, 3491, 7687.
Packing center F1 has an opening fee of 6238.
Packing center F2 has an opening fee of 3244.
Packing center F3 has an opening fee of 7474.
Packing center F4 has an opening fee of 3397.
Packing center F5 has an opening fee of 3491.
Packing center F6 has an opening fee of 7687.
If order 0 is packed at packing center F1, the shipping cost is 157.
If order 1 is packed at packing center F1, the shipping cost is 224.
If order 2 is packed at packing center F1, the shipping cost is 564.
If order 3 is packed at packing center F1, the shipping cost is 412.
If order 4 is packed at packing center F1, the shipping cost is 709.
If order 5 is packed at packing center F1, the shipping cost is 620.
If order 6 is packed at packing center F1, the shipping cost is 843.
If order 7 is packed at packing center F1, the shipping cost is 373.
If order 8 is packed at packing center F1, the shipping cost is 85.
If order 9 is packed at packing center F1, the shipping cost is 187.
If order 10 is packed at packing center F1, the shipping cost is 521.
If order 11 is packed at packing center F1, the shipping cost is 245.
If order 12 is packed at packing center F1, the shipping cost is 285.
If order 13 is packed at packing center F1, the shipping cost is 258.
If order 14 is packed at packing center F1, the shipping cost is 192.
If order 15 is packed at packing center F1, the shipping cost is 760.
If order 0 is packed at packing center F2, the shipping cost is 943.
If order 1 is packed at packing center F2, the shipping cost is 456.
If order 2 is packed at packing center F2, the shipping cost is 408.
If order 3 is packed at packing center F2, the shipping cost is 576.
If order 4 is packed at packing center F2, the shipping cost is 92.
If order 5 is packed at packing center F2, the shipping cost is 552.
If order 6 is packed at packing center F2, the shipping cost is 445.
If order 7 is packed at packing center F2, the shipping cost is 734.
If order 8 is packed at packing center F2, the shipping cost is 95.
If order 9 is packed at packing center F2, the shipping cost is 129.
If order 10 is packed at packing center F2, the shipping cost is 339.
If order 11 is packed at packing center F2, the shipping cost is 66.
If order 12 is packed at packing center F2, the shipping cost is 236.
If order 13 is packed at packing center F2, the shipping cost is 555.
If order 14 is packed at packing center F2, the shipping cost is 850.
If order 15 is packed at packing center F2, the shipping cost is 476.
If order 0 is packed at packing center F3, the shipping cost is 275.
If order 1 is packed at packing center F3, the shipping cost is 976.
If order 2 is packed at packing center F3, the shipping cost is 123.
If order 3 is packed at packing center F3, the shipping cost is 519.
If order 4 is packed at packing center F3, the shipping cost is 364.
If order 5 is packed at packing center F3, the shipping cost is 487.
If order 6 is packed at packing center F3, the shipping cost is 745.
If order 7 is packed at packing center F3, the shipping cost is 453.
If order 8 is packed at packing center F3, the shipping cost is 619.
If order 9 is packed at packing center F3, the shipping cost is 718.
If order 10 is packed at packing center F3, the shipping cost is 419.
If order 11 is packed at packing center F3, the shipping cost is 235.
If order 12 is packed at packing center F3, the shipping cost is 306.
If order 13 is packed at packing center F3, the shipping cost is 654.
If order 14 is packed at packing center F3, the shipping cost is 122.
If order 15 is packed at packing center F3, the shipping cost is 698.
If order 0 is packed at packing center F4, the shipping cost is 426.
If order 1 is packed at packing center F4, the shipping cost is 697.
If order 2 is packed at packing center F4, the shipping cost is 173.
If order 3 is packed at packing center F4, the shipping cost is 15.
If order 4 is packed at packing center F4, the shipping cost is 714.
If order 5 is packed at packing center F4, the shipping cost is 57.
If order 6 is packed at packing center F4, the shipping cost is 248.
If order 7 is packed at packing center F4, the shipping cost is 701.
If order 8 is packed at packing center F4, the shipping cost is 76.
If order 9 is packed at packing center F4, the shipping cost is 781.
If order 10 is packed at packing center F4, the shipping cost is 563.
If order 11 is packed at packing center F4, the shipping cost is 123.
If order 12 is packed at packing center F4, the shipping cost is 777.
If order 13 is packed at packing center F4, the shipping cost is 710.
If order 14 is packed at packing center F4, the shipping cost is 174.
If order 15 is packed at packing center F4, the shipping cost is 131.
If order 0 is packed at packing center F5, the shipping cost is 798.
If order 1 is packed at packing center F5, the shipping cost is 212.
If order 2 is packed at packing center F5, the shipping cost is 12.
If order 3 is packed at packing center F5, the shipping cost is 768.
If order 4 is packed at packing center F5, the shipping cost is 975.
If order 5 is packed at packing center F5, the shipping cost is 671.
If order 6 is packed at packing center F5, the shipping cost is 219.
If order 7 is packed at packing center F5, the shipping cost is 202.
If order 8 is packed at packing center F5, the shipping cost is 721.
If order 9 is packed at packing center F5, the shipping cost is 807.
If order 10 is packed at packing center F5, the shipping cost is 191.
If order 11 is packed at packing center F5, the shipping cost is 650.
If order 12 is packed at packing center F5, the shipping cost is 147.
If order 13 is packed at packing center F5, the shipping cost is 349.
If order 14 is packed at packing center F5, the shipping cost is 173.
If order 15 is packed at packing center F5, the shipping cost is 547.
If order 0 is packed at packing center F6, the shipping cost is 623.
If order 1 is packed at packing center F6, the shipping cost is 748.
If order 2 is packed at packing center F6, the shipping cost is 648.
If order 3 is packed at packing center F6, the shipping cost is 783.
If order 4 is packed at packing center F6, the shipping cost is 159.
If order 5 is packed at packing center F6, the shipping cost is 955.
If order 6 is packed at packing center F6, the shipping cost is 837.
If order 7 is packed at packing center F6, the shipping cost is 658.
If order 8 is packed at packing center F6, the shipping cost is 732.
If order 9 is packed at packing center F6, the shipping cost is 815.
If order 10 is packed at packing center F6, the shipping cost is 566.
If order 11 is packed at packing center F6, the shipping cost is 789.
If order 12 is packed at packing center F6, the shipping cost is 983.
If order 13 is packed at packing center F6, the shipping cost is 115.
If order 14 is packed at packing center F6, the shipping cost is 258.
If order 15 is packed at packing center F6, the shipping cost is 863.
Decisions should minimize the total of chosen opening fees plus the shipping costs for all assigned orders.

Also, when you send back your answer, please follow this simple JSON layout so I can read it easily:

{
  ""solution"": {
    ""selected"": [<packing_site_to_open>, <packing_site_to_open>, ...],
    ""assignments"": [<chosen_packing_location>, <chosen_packing_location>, ...]
  }
}

This little sketch is just the shape I need: the selected list is where you say which packing locations we’ll run, and the assignments list says, for each order in the instance, which open packing location handles it. Think of it like a short form: ""selected"" = which sites we turn on, ""assignments"" = which site packs each order.

This is only a template of the expected shape — not the final answer itself.

Please be sure to use the identifiers exactly as they appear in the instance input — do not rename them or introduce new labels. 
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'opening_costs': [6238, 3244, 7474, 3397, 3491, 7687], 'connection_costs': [[157, 224, 564, 412, 709, 620, 843, 373, 85, 187, 521, 245, 285, 258, 192, 760], [943, 456, 408, 576, 92, 552, 445, 734, 95, 129, 339, 66, 236, 555, 850, 476], [275, 976, 123, 519, 364, 487, 745, 453, 619, 718, 419, 235, 306, 654, 122, 698], [426, 697, 173, 15, 714, 57, 248, 701, 76, 781, 563, 123, 777, 710, 174, 131], [798, 212, 12, 768, 975, 671, 219, 202, 721, 807, 191, 650, 147, 349, 173, 547], [623, 748, 648, 783, 159, 955, 837, 658, 732, 815, 566, 789, 983, 115, 258, 863]], 'objective': 9763.0}","{'open_facilities': [3], 'assignments': [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]}",9763.0,"{'problem_type': 'UFLP', 'num_facilities': 6, 'num_customers': 16, 'facilities': [{'id': 'F1', 'opening_cost': 6238}, {'id': 'F2', 'opening_cost': 3244}, {'id': 'F3', 'opening_cost': 7474}, {'id': 'F4', 'opening_cost': 3397}, {'id': 'F5', 'opening_cost': 3491}, {'id': 'F6', 'opening_cost': 7687}], 'customers': [{'id': 0}, {'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}], 'connection_costs': [{'facility': 'F1', 'customer': 0, 'cost': 157}, {'facility': 'F1', 'customer': 1, 'cost': 224}, {'facility': 'F1', 'customer': 2, 'cost': 564}, {'facility': 'F1', 'customer': 3, 'cost': 412}, {'facility': 'F1', 'customer': 4, 'cost': 709}, {'facility': 'F1', 'customer': 5, 'cost': 620}, {'facility': 'F1', 'customer': 6, 'cost': 843}, {'facility': 'F1', 'customer': 7, 'cost': 373}, {'facility': 'F1', 'customer': 8, 'cost': 85}, {'facility': 'F1', 'customer': 9, 'cost': 187}, {'facility': 'F1', 'customer': 10, 'cost': 521}, {'facility': 'F1', 'customer': 11, 'cost': 245}, {'facility': 'F1', 'customer': 12, 'cost': 285}, {'facility': 'F1', 'customer': 13, 'cost': 258}, {'facility': 'F1', 'customer': 14, 'cost': 192}, {'facility': 'F1', 'customer': 15, 'cost': 760}, {'facility': 'F2', 'customer': 0, 'cost': 943}, {'facility': 'F2', 'customer': 1, 'cost': 456}, {'facility': 'F2', 'customer': 2, 'cost': 408}, {'facility': 'F2', 'customer': 3, 'cost': 576}, {'facility': 'F2', 'customer': 4, 'cost': 92}, {'facility': 'F2', 'customer': 5, 'cost': 552}, {'facility': 'F2', 'customer': 6, 'cost': 445}, {'facility': 'F2', 'customer': 7, 'cost': 734}, {'facility': 'F2', 'customer': 8, 'cost': 95}, {'facility': 'F2', 'customer': 9, 'cost': 129}, {'facility': 'F2', 'customer': 10, 'cost': 339}, {'facility': 'F2', 'customer': 11, 'cost': 66}, {'facility': 'F2', 'customer': 12, 'cost': 236}, {'facility': 'F2', 'customer': 13, 'cost': 555}, {'facility': 'F2', 'customer': 14, 'cost': 850}, {'facility': 'F2', 'customer': 15, 'cost': 476}, {'facility': 'F3', 'customer': 0, 'cost': 275}, {'facility': 'F3', 'customer': 1, 'cost': 976}, {'facility': 'F3', 'customer': 2, 'cost': 123}, {'facility': 'F3', 'customer': 3, 'cost': 519}, {'facility': 'F3', 'customer': 4, 'cost': 364}, {'facility': 'F3', 'customer': 5, 'cost': 487}, {'facility': 'F3', 'customer': 6, 'cost': 745}, {'facility': 'F3', 'customer': 7, 'cost': 453}, {'facility': 'F3', 'customer': 8, 'cost': 619}, {'facility': 'F3', 'customer': 9, 'cost': 718}, {'facility': 'F3', 'customer': 10, 'cost': 419}, {'facility': 'F3', 'customer': 11, 'cost': 235}, {'facility': 'F3', 'customer': 12, 'cost': 306}, {'facility': 'F3', 'customer': 13, 'cost': 654}, {'facility': 'F3', 'customer': 14, 'cost': 122}, {'facility': 'F3', 'customer': 15, 'cost': 698}, {'facility': 'F4', 'customer': 0, 'cost': 426}, {'facility': 'F4', 'customer': 1, 'cost': 697}, {'facility': 'F4', 'customer': 2, 'cost': 173}, {'facility': 'F4', 'customer': 3, 'cost': 15}, {'facility': 'F4', 'customer': 4, 'cost': 714}, {'facility': 'F4', 'customer': 5, 'cost': 57}, {'facility': 'F4', 'customer': 6, 'cost': 248}, {'facility': 'F4', 'customer': 7, 'cost': 701}, {'facility': 'F4', 'customer': 8, 'cost': 76}, {'facility': 'F4', 'customer': 9, 'cost': 781}, {'facility': 'F4', 'customer': 10, 'cost': 563}, {'facility': 'F4', 'customer': 11, 'cost': 123}, {'facility': 'F4', 'customer': 12, 'cost': 777}, {'facility': 'F4', 'customer': 13, 'cost': 710}, {'facility': 'F4', 'customer': 14, 'cost': 174}, {'facility': 'F4', 'customer': 15, 'cost': 131}, {'facility': 'F5', 'customer': 0, 'cost': 798}, {'facility': 'F5', 'customer': 1, 'cost': 212}, {'facility': 'F5', 'customer': 2, 'cost': 12}, {'facility': 'F5', 'customer': 3, 'cost': 768}, {'facility': 'F5', 'customer': 4, 'cost': 975}, {'facility': 'F5', 'customer': 5, 'cost': 671}, {'facility': 'F5', 'customer': 6, 'cost': 219}, {'facility': 'F5', 'customer': 7, 'cost': 202}, {'facility': 'F5', 'customer': 8, 'cost': 721}, {'facility': 'F5', 'customer': 9, 'cost': 807}, {'facility': 'F5', 'customer': 10, 'cost': 191}, {'facility': 'F5', 'customer': 11, 'cost': 650}, {'facility': 'F5', 'customer': 12, 'cost': 147}, {'facility': 'F5', 'customer': 13, 'cost': 349}, {'facility': 'F5', 'customer': 14, 'cost': 173}, {'facility': 'F5', 'customer': 15, 'cost': 547}, {'facility': 'F6', 'customer': 0, 'cost': 623}, {'facility': 'F6', 'customer': 1, 'cost': 748}, {'facility': 'F6', 'customer': 2, 'cost': 648}, {'facility': 'F6', 'customer': 3, 'cost': 783}, {'facility': 'F6', 'customer': 4, 'cost': 159}, {'facility': 'F6', 'customer': 5, 'cost': 955}, {'facility': 'F6', 'customer': 6, 'cost': 837}, {'facility': 'F6', 'customer': 7, 'cost': 658}, {'facility': 'F6', 'customer': 8, 'cost': 732}, {'facility': 'F6', 'customer': 9, 'cost': 815}, {'facility': 'F6', 'customer': 10, 'cost': 566}, {'facility': 'F6', 'customer': 11, 'cost': 789}, {'facility': 'F6', 'customer': 12, 'cost': 983}, {'facility': 'F6', 'customer': 13, 'cost': 115}, {'facility': 'F6', 'customer': 14, 'cost': 258}, {'facility': 'F6', 'customer': 15, 'cost': 863}], 'objective': 9763.0}","{'selected': ['F4'], 'assignments': ['F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4']}",38,nl,0
UFLP,UFLP,"There’s a town shuttle plan on my desk: a list of possible stops with activation prices and a list of commuters with how far they’d have to travel to each stop. The trick is to decide which stops to switch on and then pair every commuter with one of the switched-on stops so the combined bill — paying for the stops we turned on plus the travel cost for everyone — ends up as small as it can be. Everyone must be assigned to a single active stop (no one gets skipped or sent to multiple stops), and active stops can handle unlimited riders. The concrete data appear below.

{
  ""num_candidate_stops"": 7,
  ""num_commuters"": 17,
  ""stops"": [
    {
      ""stop_id"": ""F1"",
      ""activation_cost"": 1000
    },
    {
      ""stop_id"": ""F2"",
      ""activation_cost"": 1000
    },
    {
      ""stop_id"": ""F3"",
      ""activation_cost"": 1000
    },
    {
      ""stop_id"": ""F4"",
      ""activation_cost"": 1000
    },
    {
      ""stop_id"": ""F5"",
      ""activation_cost"": 1000
    },
    {
      ""stop_id"": ""F6"",
      ""activation_cost"": 1000
    },
    {
      ""stop_id"": ""F7"",
      ""activation_cost"": 1000
    }
  ],
  ""commuters"": [
    {
      ""commuter_id"": 0
    },
    {
      ""commuter_id"": 1
    },
    {
      ""commuter_id"": 2
    },
    {
      ""commuter_id"": 3
    },
    {
      ""commuter_id"": 4
    },
    {
      ""commuter_id"": 5
    },
    {
      ""commuter_id"": 6
    },
    {
      ""commuter_id"": 7
    },
    {
      ""commuter_id"": 8
    },
    {
      ""commuter_id"": 9
    },
    {
      ""commuter_id"": 10
    },
    {
      ""commuter_id"": 11
    },
    {
      ""commuter_id"": 12
    },
    {
      ""commuter_id"": 13
    },
    {
      ""commuter_id"": 14
    },
    {
      ""commuter_id"": 15
    },
    {
      ""commuter_id"": 16
    }
  ],
  ""travels"": [
    {
      ""stop_id"": ""F1"",
      ""commuter_id"": 0,
      ""travel_cost"": 808
    },
    {
      ""stop_id"": ""F1"",
      ""commuter_id"": 1,
      ""travel_cost"": 767
    },
    {
      ""stop_id"": ""F1"",
      ""commuter_id"": 2,
      ""travel_cost"": 793
    },
    {
      ""stop_id"": ""F1"",
      ""commuter_id"": 3,
      ""travel_cost"": 901
    },
    {
      ""stop_id"": ""F1"",
      ""commuter_id"": 4,
      ""travel_cost"": 280
    },
    {
      ""stop_id"": ""F1"",
      ""commuter_id"": 5,
      ""travel_cost"": 354
    },
    {
      ""stop_id"": ""F1"",
      ""commuter_id"": 6,
      ""travel_cost"": 626
    },
    {
      ""stop_id"": ""F1"",
      ""commuter_id"": 7,
      ""travel_cost"": 994
    },
    {
      ""stop_id"": ""F1"",
      ""commuter_id"": 8,
      ""travel_cost"": 893
    },
    {
      ""stop_id"": ""F1"",
      ""commuter_id"": 9,
      ""travel_cost"": 342
    },
    {
      ""stop_id"": ""F1"",
      ""commuter_id"": 10,
      ""travel_cost"": 880
    },
    {
      ""stop_id"": ""F1"",
      ""commuter_id"": 11,
      ""travel_cost"": 111
    },
    {
      ""stop_id"": ""F1"",
      ""commuter_id"": 12,
      ""travel_cost"": 175
    },
    {
      ""stop_id"": ""F1"",
      ""commuter_id"": 13,
      ""travel_cost"": 456
    },
    {
      ""stop_id"": ""F1"",
      ""commuter_id"": 14,
      ""travel_cost"": 848
    },
    {
      ""stop_id"": ""F1"",
      ""commuter_id"": 15,
      ""travel_cost"": 766
    },
    {
      ""stop_id"": ""F1"",
      ""commuter_id"": 16,
      ""travel_cost"": 389
    },
    {
      ""stop_id"": ""F2"",
      ""commuter_id"": 0,
      ""travel_cost"": 841
    },
    {
      ""stop_id"": ""F2"",
      ""commuter_id"": 1,
      ""travel_cost"": 954
    },
    {
      ""stop_id"": ""F2"",
      ""commuter_id"": 2,
      ""travel_cost"": 54
    },
    {
      ""stop_id"": ""F2"",
      ""commuter_id"": 3,
      ""travel_cost"": 641
    },
    {
      ""stop_id"": ""F2"",
      ""commuter_id"": 4,
      ""travel_cost"": 163
    },
    {
      ""stop_id"": ""F2"",
      ""commuter_id"": 5,
      ""travel_cost"": 845
    },
    {
      ""stop_id"": ""F2"",
      ""commuter_id"": 6,
      ""travel_cost"": 786
    },
    {
      ""stop_id"": ""F2"",
      ""commuter_id"": 7,
      ""travel_cost"": 656
    },
    {
      ""stop_id"": ""F2"",
      ""commuter_id"": 8,
      ""travel_cost"": 183
    },
    {
      ""stop_id"": ""F2"",
      ""commuter_id"": 9,
      ""travel_cost"": 712
    },
    {
      ""stop_id"": ""F2"",
      ""commuter_id"": 10,
      ""travel_cost"": 12
    },
    {
      ""stop_id"": ""F2"",
      ""commuter_id"": 11,
      ""travel_cost"": 649
    },
    {
      ""stop_id"": ""F2"",
      ""commuter_id"": 12,
      ""travel_cost"": 350
    },
    {
      ""stop_id"": ""F2"",
      ""commuter_id"": 13,
      ""travel_cost"": 973
    },
    {
      ""stop_id"": ""F2"",
      ""commuter_id"": 14,
      ""travel_cost"": 81
    },
    {
      ""stop_id"": ""F2"",
      ""commuter_id"": 15,
      ""travel_cost"": 711
    },
    {
      ""stop_id"": ""F2"",
      ""commuter_id"": 16,
      ""travel_cost"": 929
    },
    {
      ""stop_id"": ""F3"",
      ""commuter_id"": 0,
      ""travel_cost"": 624
    },
    {
      ""stop_id"": ""F3"",
      ""commuter_id"": 1,
      ""travel_cost"": 233
    },
    {
      ""stop_id"": ""F3"",
      ""commuter_id"": 2,
      ""travel_cost"": 359
    },
    {
      ""stop_id"": ""F3"",
      ""commuter_id"": 3,
      ""travel_cost"": 588
    },
    {
      ""stop_id"": ""F3"",
      ""commuter_id"": 4,
      ""travel_cost"": 392
    },
    {
      ""stop_id"": ""F3"",
      ""commuter_id"": 5,
      ""travel_cost"": 809
    },
    {
      ""stop_id"": ""F3"",
      ""commuter_id"": 6,
      ""travel_cost"": 396
    },
    {
      ""stop_id"": ""F3"",
      ""commuter_id"": 7,
      ""travel_cost"": 562
    },
    {
      ""stop_id"": ""F3"",
      ""commuter_id"": 8,
      ""travel_cost"": 770
    },
    {
      ""stop_id"": ""F3"",
      ""commuter_id"": 9,
      ""travel_cost"": 269
    },
    {
      ""stop_id"": ""F3"",
      ""commuter_id"": 10,
      ""travel_cost"": 738
    },
    {
      ""stop_id"": ""F3"",
      ""commuter_id"": 11,
      ""travel_cost"": 788
    },
    {
      ""stop_id"": ""F3"",
      ""commuter_id"": 12,
      ""travel_cost"": 420
    },
    {
      ""stop_id"": ""F3"",
      ""commuter_id"": 13,
      ""travel_cost"": 448
    },
    {
      ""stop_id"": ""F3"",
      ""commuter_id"": 14,
      ""travel_cost"": 781
    },
    {
      ""stop_id"": ""F3"",
      ""commuter_id"": 15,
      ""travel_cost"": 856
    },
    {
      ""stop_id"": ""F3"",
      ""commuter_id"": 16,
      ""travel_cost"": 908
    },
    {
      ""stop_id"": ""F4"",
      ""commuter_id"": 0,
      ""travel_cost"": 819
    },
    {
      ""stop_id"": ""F4"",
      ""commuter_id"": 1,
      ""travel_cost"": 629
    },
    {
      ""stop_id"": ""F4"",
      ""commuter_id"": 2,
      ""travel_cost"": 648
    },
    {
      ""stop_id"": ""F4"",
      ""commuter_id"": 3,
      ""travel_cost"": 316
    },
    {
      ""stop_id"": ""F4"",
      ""commuter_id"": 4,
      ""travel_cost"": 416
    },
    {
      ""stop_id"": ""F4"",
      ""commuter_id"": 5,
      ""travel_cost"": 978
    },
    {
      ""stop_id"": ""F4"",
      ""commuter_id"": 6,
      ""travel_cost"": 181
    },
    {
      ""stop_id"": ""F4"",
      ""commuter_id"": 7,
      ""travel_cost"": 697
    },
    {
      ""stop_id"": ""F4"",
      ""commuter_id"": 8,
      ""travel_cost"": 127
    },
    {
      ""stop_id"": ""F4"",
      ""commuter_id"": 9,
      ""travel_cost"": 196
    },
    {
      ""stop_id"": ""F4"",
      ""commuter_id"": 10,
      ""travel_cost"": 153
    },
    {
      ""stop_id"": ""F4"",
      ""commuter_id"": 11,
      ""travel_cost"": 135
    },
    {
      ""stop_id"": ""F4"",
      ""commuter_id"": 12,
      ""travel_cost"": 356
    },
    {
      ""stop_id"": ""F4"",
      ""commuter_id"": 13,
      ""travel_cost"": 345
    },
    {
      ""stop_id"": ""F4"",
      ""commuter_id"": 14,
      ""travel_cost"": 399
    },
    {
      ""stop_id"": ""F4"",
      ""commuter_id"": 15,
      ""travel_cost"": 650
    },
    {
      ""stop_id"": ""F4"",
      ""commuter_id"": 16,
      ""travel_cost"": 638
    },
    {
      ""stop_id"": ""F5"",
      ""commuter_id"": 0,
      ""travel_cost"": 585
    },
    {
      ""stop_id"": ""F5"",
      ""commuter_id"": 1,
      ""travel_cost"": 398
    },
    {
      ""stop_id"": ""F5"",
      ""commuter_id"": 2,
      ""travel_cost"": 70
    },
    {
      ""stop_id"": ""F5"",
      ""commuter_id"": 3,
      ""travel_cost"": 162
    },
    {
      ""stop_id"": ""F5"",
      ""commuter_id"": 4,
      ""travel_cost"": 463
    },
    {
      ""stop_id"": ""F5"",
      ""commuter_id"": 5,
      ""travel_cost"": 478
    },
    {
      ""stop_id"": ""F5"",
      ""commuter_id"": 6,
      ""travel_cost"": 536
    },
    {
      ""stop_id"": ""F5"",
      ""commuter_id"": 7,
      ""travel_cost"": 381
    },
    {
      ""stop_id"": ""F5"",
      ""commuter_id"": 8,
      ""travel_cost"": 632
    },
    {
      ""stop_id"": ""F5"",
      ""commuter_id"": 9,
      ""travel_cost"": 950
    },
    {
      ""stop_id"": ""F5"",
      ""commuter_id"": 10,
      ""travel_cost"": 464
    },
    {
      ""stop_id"": ""F5"",
      ""commuter_id"": 11,
      ""travel_cost"": 586
    },
    {
      ""stop_id"": ""F5"",
      ""commuter_id"": 12,
      ""travel_cost"": 948
    },
    {
      ""stop_id"": ""F5"",
      ""commuter_id"": 13,
      ""travel_cost"": 589
    },
    {
      ""stop_id"": ""F5"",
      ""commuter_id"": 14,
      ""travel_cost"": 502
    },
    {
      ""stop_id"": ""F5"",
      ""commuter_id"": 15,
      ""travel_cost"": 529
    },
    {
      ""stop_id"": ""F5"",
      ""commuter_id"": 16,
      ""travel_cost"": 470
    },
    {
      ""stop_id"": ""F6"",
      ""commuter_id"": 0,
      ""travel_cost"": 509
    },
    {
      ""stop_id"": ""F6"",
      ""commuter_id"": 1,
      ""travel_cost"": 504
    },
    {
      ""stop_id"": ""F6"",
      ""commuter_id"": 2,
      ""travel_cost"": 865
    },
    {
      ""stop_id"": ""F6"",
      ""commuter_id"": 3,
      ""travel_cost"": 443
    },
    {
      ""stop_id"": ""F6"",
      ""commuter_id"": 4,
      ""travel_cost"": 701
    },
    {
      ""stop_id"": ""F6"",
      ""commuter_id"": 5,
      ""travel_cost"": 462
    },
    {
      ""stop_id"": ""F6"",
      ""commuter_id"": 6,
      ""travel_cost"": 859
    },
    {
      ""stop_id"": ""F6"",
      ""commuter_id"": 7,
      ""travel_cost"": 889
    },
    {
      ""stop_id"": ""F6"",
      ""commuter_id"": 8,
      ""travel_cost"": 174
    },
    {
      ""stop_id"": ""F6"",
      ""commuter_id"": 9,
      ""travel_cost"": 80
    },
    {
      ""stop_id"": ""F6"",
      ""commuter_id"": 10,
      ""travel_cost"": 860
    },
    {
      ""stop_id"": ""F6"",
      ""commuter_id"": 11,
      ""travel_cost"": 760
    },
    {
      ""stop_id"": ""F6"",
      ""commuter_id"": 12,
      ""travel_cost"": 354
    },
    {
      ""stop_id"": ""F6"",
      ""commuter_id"": 13,
      ""travel_cost"": 59
    },
    {
      ""stop_id"": ""F6"",
      ""commuter_id"": 14,
      ""travel_cost"": 646
    },
    {
      ""stop_id"": ""F6"",
      ""commuter_id"": 15,
      ""travel_cost"": 608
    },
    {
      ""stop_id"": ""F6"",
      ""commuter_id"": 16,
      ""travel_cost"": 161
    },
    {
      ""stop_id"": ""F7"",
      ""commuter_id"": 0,
      ""travel_cost"": 744
    },
    {
      ""stop_id"": ""F7"",
      ""commuter_id"": 1,
      ""travel_cost"": 132
    },
    {
      ""stop_id"": ""F7"",
      ""commuter_id"": 2,
      ""travel_cost"": 274
    },
    {
      ""stop_id"": ""F7"",
      ""commuter_id"": 3,
      ""travel_cost"": 665
    },
    {
      ""stop_id"": ""F7"",
      ""commuter_id"": 4,
      ""travel_cost"": 723
    },
    {
      ""stop_id"": ""F7"",
      ""commuter_id"": 5,
      ""travel_cost"": 776
    },
    {
      ""stop_id"": ""F7"",
      ""commuter_id"": 6,
      ""travel_cost"": 488
    },
    {
      ""stop_id"": ""F7"",
      ""commuter_id"": 7,
      ""travel_cost"": 193
    },
    {
      ""stop_id"": ""F7"",
      ""commuter_id"": 8,
      ""travel_cost"": 285
    },
    {
      ""stop_id"": ""F7"",
      ""commuter_id"": 9,
      ""travel_cost"": 461
    },
    {
      ""stop_id"": ""F7"",
      ""commuter_id"": 10,
      ""travel_cost"": 49
    },
    {
      ""stop_id"": ""F7"",
      ""commuter_id"": 11,
      ""travel_cost"": 429
    },
    {
      ""stop_id"": ""F7"",
      ""commuter_id"": 12,
      ""travel_cost"": 304
    },
    {
      ""stop_id"": ""F7"",
      ""commuter_id"": 13,
      ""travel_cost"": 197
    },
    {
      ""stop_id"": ""F7"",
      ""commuter_id"": 14,
      ""travel_cost"": 209
    },
    {
      ""stop_id"": ""F7"",
      ""commuter_id"": 15,
      ""travel_cost"": 574
    },
    {
      ""stop_id"": ""F7"",
      ""commuter_id"": 16,
      ""travel_cost"": 524
    }
  ]
}

I'll give the result in a small, predictable JSON shape so it's easy to read — nothing fancy, just the two things we need to report.

{
  ""solution"": {
    ""selected"": [<stop_to_open>, <stop_to_open>, ...],
    ""assignments"": [<chosen_open_stop>, <chosen_open_stop>, ...]
  }
}

Pretty straightforward: ""selected"" is the list of stops we switch on (the activation purchases), and ""assignments"" tells which active stop each commuter uses, in the same order the commuters appear in the input. This is just the sketch of the expected shape, not the actual answer.

Please use identifiers exactly as they appear in the instance input — no renaming and no new labels. For example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'opening_costs': [1000, 1000, 1000, 1000, 1000, 1000, 1000], 'connection_costs': [[808, 767, 793, 901, 280, 354, 626, 994, 893, 342, 880, 111, 175, 456, 848, 766, 389], [841, 954, 54, 641, 163, 845, 786, 656, 183, 712, 12, 649, 350, 973, 81, 711, 929], [624, 233, 359, 588, 392, 809, 396, 562, 770, 269, 738, 788, 420, 448, 781, 856, 908], [819, 629, 648, 316, 416, 978, 181, 697, 127, 196, 153, 135, 356, 345, 399, 650, 638], [585, 398, 70, 162, 463, 478, 536, 381, 632, 950, 464, 586, 948, 589, 502, 529, 470], [509, 504, 865, 443, 701, 462, 859, 889, 174, 80, 860, 760, 354, 59, 646, 608, 161], [744, 132, 274, 665, 723, 776, 488, 193, 285, 461, 49, 429, 304, 197, 209, 574, 524]], 'objective': 7181.0}","{'open_facilities': [3, 5, 6], 'assignments': [5, 6, 6, 3, 3, 5, 3, 6, 3, 5, 6, 3, 6, 5, 6, 6, 5]}",7181.0,"{'problem_type': 'UFLP', 'num_facilities': 7, 'num_customers': 17, 'facilities': [{'id': 'F1', 'opening_cost': 1000}, {'id': 'F2', 'opening_cost': 1000}, {'id': 'F3', 'opening_cost': 1000}, {'id': 'F4', 'opening_cost': 1000}, {'id': 'F5', 'opening_cost': 1000}, {'id': 'F6', 'opening_cost': 1000}, {'id': 'F7', 'opening_cost': 1000}], 'customers': [{'id': 0}, {'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}, {'id': 16}], 'connection_costs': [{'facility': 'F1', 'customer': 0, 'cost': 808}, {'facility': 'F1', 'customer': 1, 'cost': 767}, {'facility': 'F1', 'customer': 2, 'cost': 793}, {'facility': 'F1', 'customer': 3, 'cost': 901}, {'facility': 'F1', 'customer': 4, 'cost': 280}, {'facility': 'F1', 'customer': 5, 'cost': 354}, {'facility': 'F1', 'customer': 6, 'cost': 626}, {'facility': 'F1', 'customer': 7, 'cost': 994}, {'facility': 'F1', 'customer': 8, 'cost': 893}, {'facility': 'F1', 'customer': 9, 'cost': 342}, {'facility': 'F1', 'customer': 10, 'cost': 880}, {'facility': 'F1', 'customer': 11, 'cost': 111}, {'facility': 'F1', 'customer': 12, 'cost': 175}, {'facility': 'F1', 'customer': 13, 'cost': 456}, {'facility': 'F1', 'customer': 14, 'cost': 848}, {'facility': 'F1', 'customer': 15, 'cost': 766}, {'facility': 'F1', 'customer': 16, 'cost': 389}, {'facility': 'F2', 'customer': 0, 'cost': 841}, {'facility': 'F2', 'customer': 1, 'cost': 954}, {'facility': 'F2', 'customer': 2, 'cost': 54}, {'facility': 'F2', 'customer': 3, 'cost': 641}, {'facility': 'F2', 'customer': 4, 'cost': 163}, {'facility': 'F2', 'customer': 5, 'cost': 845}, {'facility': 'F2', 'customer': 6, 'cost': 786}, {'facility': 'F2', 'customer': 7, 'cost': 656}, {'facility': 'F2', 'customer': 8, 'cost': 183}, {'facility': 'F2', 'customer': 9, 'cost': 712}, {'facility': 'F2', 'customer': 10, 'cost': 12}, {'facility': 'F2', 'customer': 11, 'cost': 649}, {'facility': 'F2', 'customer': 12, 'cost': 350}, {'facility': 'F2', 'customer': 13, 'cost': 973}, {'facility': 'F2', 'customer': 14, 'cost': 81}, {'facility': 'F2', 'customer': 15, 'cost': 711}, {'facility': 'F2', 'customer': 16, 'cost': 929}, {'facility': 'F3', 'customer': 0, 'cost': 624}, {'facility': 'F3', 'customer': 1, 'cost': 233}, {'facility': 'F3', 'customer': 2, 'cost': 359}, {'facility': 'F3', 'customer': 3, 'cost': 588}, {'facility': 'F3', 'customer': 4, 'cost': 392}, {'facility': 'F3', 'customer': 5, 'cost': 809}, {'facility': 'F3', 'customer': 6, 'cost': 396}, {'facility': 'F3', 'customer': 7, 'cost': 562}, {'facility': 'F3', 'customer': 8, 'cost': 770}, {'facility': 'F3', 'customer': 9, 'cost': 269}, {'facility': 'F3', 'customer': 10, 'cost': 738}, {'facility': 'F3', 'customer': 11, 'cost': 788}, {'facility': 'F3', 'customer': 12, 'cost': 420}, {'facility': 'F3', 'customer': 13, 'cost': 448}, {'facility': 'F3', 'customer': 14, 'cost': 781}, {'facility': 'F3', 'customer': 15, 'cost': 856}, {'facility': 'F3', 'customer': 16, 'cost': 908}, {'facility': 'F4', 'customer': 0, 'cost': 819}, {'facility': 'F4', 'customer': 1, 'cost': 629}, {'facility': 'F4', 'customer': 2, 'cost': 648}, {'facility': 'F4', 'customer': 3, 'cost': 316}, {'facility': 'F4', 'customer': 4, 'cost': 416}, {'facility': 'F4', 'customer': 5, 'cost': 978}, {'facility': 'F4', 'customer': 6, 'cost': 181}, {'facility': 'F4', 'customer': 7, 'cost': 697}, {'facility': 'F4', 'customer': 8, 'cost': 127}, {'facility': 'F4', 'customer': 9, 'cost': 196}, {'facility': 'F4', 'customer': 10, 'cost': 153}, {'facility': 'F4', 'customer': 11, 'cost': 135}, {'facility': 'F4', 'customer': 12, 'cost': 356}, {'facility': 'F4', 'customer': 13, 'cost': 345}, {'facility': 'F4', 'customer': 14, 'cost': 399}, {'facility': 'F4', 'customer': 15, 'cost': 650}, {'facility': 'F4', 'customer': 16, 'cost': 638}, {'facility': 'F5', 'customer': 0, 'cost': 585}, {'facility': 'F5', 'customer': 1, 'cost': 398}, {'facility': 'F5', 'customer': 2, 'cost': 70}, {'facility': 'F5', 'customer': 3, 'cost': 162}, {'facility': 'F5', 'customer': 4, 'cost': 463}, {'facility': 'F5', 'customer': 5, 'cost': 478}, {'facility': 'F5', 'customer': 6, 'cost': 536}, {'facility': 'F5', 'customer': 7, 'cost': 381}, {'facility': 'F5', 'customer': 8, 'cost': 632}, {'facility': 'F5', 'customer': 9, 'cost': 950}, {'facility': 'F5', 'customer': 10, 'cost': 464}, {'facility': 'F5', 'customer': 11, 'cost': 586}, {'facility': 'F5', 'customer': 12, 'cost': 948}, {'facility': 'F5', 'customer': 13, 'cost': 589}, {'facility': 'F5', 'customer': 14, 'cost': 502}, {'facility': 'F5', 'customer': 15, 'cost': 529}, {'facility': 'F5', 'customer': 16, 'cost': 470}, {'facility': 'F6', 'customer': 0, 'cost': 509}, {'facility': 'F6', 'customer': 1, 'cost': 504}, {'facility': 'F6', 'customer': 2, 'cost': 865}, {'facility': 'F6', 'customer': 3, 'cost': 443}, {'facility': 'F6', 'customer': 4, 'cost': 701}, {'facility': 'F6', 'customer': 5, 'cost': 462}, {'facility': 'F6', 'customer': 6, 'cost': 859}, {'facility': 'F6', 'customer': 7, 'cost': 889}, {'facility': 'F6', 'customer': 8, 'cost': 174}, {'facility': 'F6', 'customer': 9, 'cost': 80}, {'facility': 'F6', 'customer': 10, 'cost': 860}, {'facility': 'F6', 'customer': 11, 'cost': 760}, {'facility': 'F6', 'customer': 12, 'cost': 354}, {'facility': 'F6', 'customer': 13, 'cost': 59}, {'facility': 'F6', 'customer': 14, 'cost': 646}, {'facility': 'F6', 'customer': 15, 'cost': 608}, {'facility': 'F6', 'customer': 16, 'cost': 161}, {'facility': 'F7', 'customer': 0, 'cost': 744}, {'facility': 'F7', 'customer': 1, 'cost': 132}, {'facility': 'F7', 'customer': 2, 'cost': 274}, {'facility': 'F7', 'customer': 3, 'cost': 665}, {'facility': 'F7', 'customer': 4, 'cost': 723}, {'facility': 'F7', 'customer': 5, 'cost': 776}, {'facility': 'F7', 'customer': 6, 'cost': 488}, {'facility': 'F7', 'customer': 7, 'cost': 193}, {'facility': 'F7', 'customer': 8, 'cost': 285}, {'facility': 'F7', 'customer': 9, 'cost': 461}, {'facility': 'F7', 'customer': 10, 'cost': 49}, {'facility': 'F7', 'customer': 11, 'cost': 429}, {'facility': 'F7', 'customer': 12, 'cost': 304}, {'facility': 'F7', 'customer': 13, 'cost': 197}, {'facility': 'F7', 'customer': 14, 'cost': 209}, {'facility': 'F7', 'customer': 15, 'cost': 574}, {'facility': 'F7', 'customer': 16, 'cost': 524}], 'objective': 7181.0}","{'selected': ['F4', 'F6', 'F7'], 'assignments': ['F6', 'F7', 'F7', 'F4', 'F4', 'F6', 'F4', 'F7', 'F4', 'F6', 'F7', 'F4', 'F7', 'F6', 'F7', 'F7', 'F6']}",39,json,0
UFLP,UFLP,"Many people on the planning team are debating which neighborhood outlets to start and how to attach each block to a single open outlet. The choice is which outlets to pay to open (each has a setup price) and then making sure each block is linked to exactly one of those opened outlets — no block left unassigned and no double assignments — with each link costing a delivery or customer-travel amount. The best option is the one with the lowest combined expense: add up the setup costs for opened outlets and the travel/delivery costs for every block’s assignment. The instance details are presented below.

There are 6 candidate outlets and 16 blocks; the outlet setup costs are 1000, 1000, 1000, 1000, 1000, 1000.
Candidate outlet F1 has a setup cost of 1000.
Candidate outlet F2 has a setup cost of 1000.
Candidate outlet F3 has a setup cost of 1000.
Candidate outlet F4 has a setup cost of 1000.
Candidate outlet F5 has a setup cost of 1000.
Candidate outlet F6 has a setup cost of 1000.
Block 1 can be served by outlet F1 at delivery/travel cost 458.
Block 2 can be served by outlet F1 at delivery/travel cost 70.
Block 3 can be served by outlet F1 at delivery/travel cost 32.
Block 4 can be served by outlet F1 at delivery/travel cost 632.
Block 5 can be served by outlet F1 at delivery/travel cost 557.
Block 6 can be served by outlet F1 at delivery/travel cost 669.
Block 7 can be served by outlet F1 at delivery/travel cost 802.
Block 8 can be served by outlet F1 at delivery/travel cost 314.
Block 9 can be served by outlet F1 at delivery/travel cost 983.
Block 10 can be served by outlet F1 at delivery/travel cost 514.
Block 11 can be served by outlet F1 at delivery/travel cost 638.
Block 12 can be served by outlet F1 at delivery/travel cost 203.
Block 13 can be served by outlet F1 at delivery/travel cost 872.
Block 14 can be served by outlet F1 at delivery/travel cost 274.
Block 15 can be served by outlet F1 at delivery/travel cost 755.
Block 16 can be served by outlet F1 at delivery/travel cost 666.
Block 1 can be served by outlet F2 at delivery/travel cost 299.
Block 2 can be served by outlet F2 at delivery/travel cost 968.
Block 3 can be served by outlet F2 at delivery/travel cost 81.
Block 4 can be served by outlet F2 at delivery/travel cost 68.
Block 5 can be served by outlet F2 at delivery/travel cost 578.
Block 6 can be served by outlet F2 at delivery/travel cost 819.
Block 7 can be served by outlet F2 at delivery/travel cost 978.
Block 8 can be served by outlet F2 at delivery/travel cost 127.
Block 9 can be served by outlet F2 at delivery/travel cost 502.
Block 10 can be served by outlet F2 at delivery/travel cost 757.
Block 11 can be served by outlet F2 at delivery/travel cost 153.
Block 12 can be served by outlet F2 at delivery/travel cost 440.
Block 13 can be served by outlet F2 at delivery/travel cost 457.
Block 14 can be served by outlet F2 at delivery/travel cost 709.
Block 15 can be served by outlet F2 at delivery/travel cost 306.
Block 16 can be served by outlet F2 at delivery/travel cost 984.
Block 1 can be served by outlet F3 at delivery/travel cost 752.
Block 2 can be served by outlet F3 at delivery/travel cost 284.
Block 3 can be served by outlet F3 at delivery/travel cost 932.
Block 4 can be served by outlet F3 at delivery/travel cost 981.
Block 5 can be served by outlet F3 at delivery/travel cost 14.
Block 6 can be served by outlet F3 at delivery/travel cost 879.
Block 7 can be served by outlet F3 at delivery/travel cost 981.
Block 8 can be served by outlet F3 at delivery/travel cost 73.
Block 9 can be served by outlet F3 at delivery/travel cost 488.
Block 10 can be served by outlet F3 at delivery/travel cost 869.
Block 11 can be served by outlet F3 at delivery/travel cost 972.
Block 12 can be served by outlet F3 at delivery/travel cost 788.
Block 13 can be served by outlet F3 at delivery/travel cost 598.
Block 14 can be served by outlet F3 at delivery/travel cost 920.
Block 15 can be served by outlet F3 at delivery/travel cost 89.
Block 16 can be served by outlet F3 at delivery/travel cost 327.
Block 1 can be served by outlet F4 at delivery/travel cost 864.
Block 2 can be served by outlet F4 at delivery/travel cost 885.
Block 3 can be served by outlet F4 at delivery/travel cost 598.
Block 4 can be served by outlet F4 at delivery/travel cost 618.
Block 5 can be served by outlet F4 at delivery/travel cost 616.
Block 6 can be served by outlet F4 at delivery/travel cost 958.
Block 7 can be served by outlet F4 at delivery/travel cost 313.
Block 8 can be served by outlet F4 at delivery/travel cost 977.
Block 9 can be served by outlet F4 at delivery/travel cost 129.
Block 10 can be served by outlet F4 at delivery/travel cost 19.
Block 11 can be served by outlet F4 at delivery/travel cost 432.
Block 12 can be served by outlet F4 at delivery/travel cost 632.
Block 13 can be served by outlet F4 at delivery/travel cost 155.
Block 14 can be served by outlet F4 at delivery/travel cost 673.
Block 15 can be served by outlet F4 at delivery/travel cost 899.
Block 16 can be served by outlet F4 at delivery/travel cost 159.
Block 1 can be served by outlet F5 at delivery/travel cost 118.
Block 2 can be served by outlet F5 at delivery/travel cost 252.
Block 3 can be served by outlet F5 at delivery/travel cost 466.
Block 4 can be served by outlet F5 at delivery/travel cost 838.
Block 5 can be served by outlet F5 at delivery/travel cost 483.
Block 6 can be served by outlet F5 at delivery/travel cost 558.
Block 7 can be served by outlet F5 at delivery/travel cost 910.
Block 8 can be served by outlet F5 at delivery/travel cost 105.
Block 9 can be served by outlet F5 at delivery/travel cost 86.
Block 10 can be served by outlet F5 at delivery/travel cost 217.
Block 11 can be served by outlet F5 at delivery/travel cost 56.
Block 12 can be served by outlet F5 at delivery/travel cost 967.
Block 13 can be served by outlet F5 at delivery/travel cost 825.
Block 14 can be served by outlet F5 at delivery/travel cost 643.
Block 15 can be served by outlet F5 at delivery/travel cost 302.
Block 16 can be served by outlet F5 at delivery/travel cost 802.
Block 1 can be served by outlet F6 at delivery/travel cost 633.
Block 2 can be served by outlet F6 at delivery/travel cost 590.
Block 3 can be served by outlet F6 at delivery/travel cost 203.
Block 4 can be served by outlet F6 at delivery/travel cost 437.
Block 5 can be served by outlet F6 at delivery/travel cost 739.
Block 6 can be served by outlet F6 at delivery/travel cost 509.
Block 7 can be served by outlet F6 at delivery/travel cost 462.
Block 8 can be served by outlet F6 at delivery/travel cost 174.
Block 9 can be served by outlet F6 at delivery/travel cost 883.
Block 10 can be served by outlet F6 at delivery/travel cost 163.
Block 11 can be served by outlet F6 at delivery/travel cost 860.
Block 12 can be served by outlet F6 at delivery/travel cost 664.
Block 13 can be served by outlet F6 at delivery/travel cost 975.
Block 14 can be served by outlet F6 at delivery/travel cost 738.
Block 15 can be served by outlet F6 at delivery/travel cost 68.
Block 16 can be served by outlet F6 at delivery/travel cost 85.
The planning team will use these figures to decide which outlets to open and how to assign each block so the total of setup fees plus delivery/travel costs is minimized.

Just so we're all on the same page about how to give the final pick-and-link info, please use this simple JSON layout when you reply. It's just the shape I need — nothing fancy.

{
  ""solution"": {
    ""selected"": [<outlet_to_open>, <outlet_to_open>, ...],
    ""assignments"": [<assigned_outlet>, <assigned_outlet>, ...]
  }
}

""selected"" is where you list the outlets you decide to open. ""assignments"" is a list, one entry per block, saying which opened outlet that block is attached to. Think of it like filling out a form: the first part names the open outlets, the second part maps every block to one of those outlets.

This JSON is only a sketch of the expected shape, not the actual solution. And please use the exact identifiers from the instance input — do not rename or invent labels. Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'opening_costs': [1000, 1000, 1000, 1000, 1000, 1000], 'connection_costs': [[458, 70, 32, 632, 557, 669, 802, 314, 983, 514, 638, 203, 872, 274, 755, 666], [299, 968, 81, 68, 578, 819, 978, 127, 502, 757, 153, 440, 457, 709, 306, 984], [752, 284, 932, 981, 14, 879, 981, 73, 488, 869, 972, 788, 598, 920, 89, 327], [864, 885, 598, 618, 616, 958, 313, 977, 129, 19, 432, 632, 155, 673, 899, 159], [118, 252, 466, 838, 483, 558, 910, 105, 86, 217, 56, 967, 825, 643, 302, 802], [633, 590, 203, 437, 739, 509, 462, 174, 883, 163, 860, 664, 975, 738, 68, 85]], 'objective': 6533.0}","{'open_facilities': [0, 1, 3], 'assignments': [1, 0, 0, 1, 0, 0, 3, 1, 3, 3, 1, 0, 3, 0, 1, 3]}",6533.0,"{'problem_type': 'UFLP', 'num_facilities': 6, 'num_customers': 16, 'facilities': [{'id': 'F1', 'opening_cost': 1000}, {'id': 'F2', 'opening_cost': 1000}, {'id': 'F3', 'opening_cost': 1000}, {'id': 'F4', 'opening_cost': 1000}, {'id': 'F5', 'opening_cost': 1000}, {'id': 'F6', 'opening_cost': 1000}], 'customers': [{'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}, {'id': 16}], 'connection_costs': [{'facility': 'F1', 'customer': 1, 'cost': 458}, {'facility': 'F1', 'customer': 2, 'cost': 70}, {'facility': 'F1', 'customer': 3, 'cost': 32}, {'facility': 'F1', 'customer': 4, 'cost': 632}, {'facility': 'F1', 'customer': 5, 'cost': 557}, {'facility': 'F1', 'customer': 6, 'cost': 669}, {'facility': 'F1', 'customer': 7, 'cost': 802}, {'facility': 'F1', 'customer': 8, 'cost': 314}, {'facility': 'F1', 'customer': 9, 'cost': 983}, {'facility': 'F1', 'customer': 10, 'cost': 514}, {'facility': 'F1', 'customer': 11, 'cost': 638}, {'facility': 'F1', 'customer': 12, 'cost': 203}, {'facility': 'F1', 'customer': 13, 'cost': 872}, {'facility': 'F1', 'customer': 14, 'cost': 274}, {'facility': 'F1', 'customer': 15, 'cost': 755}, {'facility': 'F1', 'customer': 16, 'cost': 666}, {'facility': 'F2', 'customer': 1, 'cost': 299}, {'facility': 'F2', 'customer': 2, 'cost': 968}, {'facility': 'F2', 'customer': 3, 'cost': 81}, {'facility': 'F2', 'customer': 4, 'cost': 68}, {'facility': 'F2', 'customer': 5, 'cost': 578}, {'facility': 'F2', 'customer': 6, 'cost': 819}, {'facility': 'F2', 'customer': 7, 'cost': 978}, {'facility': 'F2', 'customer': 8, 'cost': 127}, {'facility': 'F2', 'customer': 9, 'cost': 502}, {'facility': 'F2', 'customer': 10, 'cost': 757}, {'facility': 'F2', 'customer': 11, 'cost': 153}, {'facility': 'F2', 'customer': 12, 'cost': 440}, {'facility': 'F2', 'customer': 13, 'cost': 457}, {'facility': 'F2', 'customer': 14, 'cost': 709}, {'facility': 'F2', 'customer': 15, 'cost': 306}, {'facility': 'F2', 'customer': 16, 'cost': 984}, {'facility': 'F3', 'customer': 1, 'cost': 752}, {'facility': 'F3', 'customer': 2, 'cost': 284}, {'facility': 'F3', 'customer': 3, 'cost': 932}, {'facility': 'F3', 'customer': 4, 'cost': 981}, {'facility': 'F3', 'customer': 5, 'cost': 14}, {'facility': 'F3', 'customer': 6, 'cost': 879}, {'facility': 'F3', 'customer': 7, 'cost': 981}, {'facility': 'F3', 'customer': 8, 'cost': 73}, {'facility': 'F3', 'customer': 9, 'cost': 488}, {'facility': 'F3', 'customer': 10, 'cost': 869}, {'facility': 'F3', 'customer': 11, 'cost': 972}, {'facility': 'F3', 'customer': 12, 'cost': 788}, {'facility': 'F3', 'customer': 13, 'cost': 598}, {'facility': 'F3', 'customer': 14, 'cost': 920}, {'facility': 'F3', 'customer': 15, 'cost': 89}, {'facility': 'F3', 'customer': 16, 'cost': 327}, {'facility': 'F4', 'customer': 1, 'cost': 864}, {'facility': 'F4', 'customer': 2, 'cost': 885}, {'facility': 'F4', 'customer': 3, 'cost': 598}, {'facility': 'F4', 'customer': 4, 'cost': 618}, {'facility': 'F4', 'customer': 5, 'cost': 616}, {'facility': 'F4', 'customer': 6, 'cost': 958}, {'facility': 'F4', 'customer': 7, 'cost': 313}, {'facility': 'F4', 'customer': 8, 'cost': 977}, {'facility': 'F4', 'customer': 9, 'cost': 129}, {'facility': 'F4', 'customer': 10, 'cost': 19}, {'facility': 'F4', 'customer': 11, 'cost': 432}, {'facility': 'F4', 'customer': 12, 'cost': 632}, {'facility': 'F4', 'customer': 13, 'cost': 155}, {'facility': 'F4', 'customer': 14, 'cost': 673}, {'facility': 'F4', 'customer': 15, 'cost': 899}, {'facility': 'F4', 'customer': 16, 'cost': 159}, {'facility': 'F5', 'customer': 1, 'cost': 118}, {'facility': 'F5', 'customer': 2, 'cost': 252}, {'facility': 'F5', 'customer': 3, 'cost': 466}, {'facility': 'F5', 'customer': 4, 'cost': 838}, {'facility': 'F5', 'customer': 5, 'cost': 483}, {'facility': 'F5', 'customer': 6, 'cost': 558}, {'facility': 'F5', 'customer': 7, 'cost': 910}, {'facility': 'F5', 'customer': 8, 'cost': 105}, {'facility': 'F5', 'customer': 9, 'cost': 86}, {'facility': 'F5', 'customer': 10, 'cost': 217}, {'facility': 'F5', 'customer': 11, 'cost': 56}, {'facility': 'F5', 'customer': 12, 'cost': 967}, {'facility': 'F5', 'customer': 13, 'cost': 825}, {'facility': 'F5', 'customer': 14, 'cost': 643}, {'facility': 'F5', 'customer': 15, 'cost': 302}, {'facility': 'F5', 'customer': 16, 'cost': 802}, {'facility': 'F6', 'customer': 1, 'cost': 633}, {'facility': 'F6', 'customer': 2, 'cost': 590}, {'facility': 'F6', 'customer': 3, 'cost': 203}, {'facility': 'F6', 'customer': 4, 'cost': 437}, {'facility': 'F6', 'customer': 5, 'cost': 739}, {'facility': 'F6', 'customer': 6, 'cost': 509}, {'facility': 'F6', 'customer': 7, 'cost': 462}, {'facility': 'F6', 'customer': 8, 'cost': 174}, {'facility': 'F6', 'customer': 9, 'cost': 883}, {'facility': 'F6', 'customer': 10, 'cost': 163}, {'facility': 'F6', 'customer': 11, 'cost': 860}, {'facility': 'F6', 'customer': 12, 'cost': 664}, {'facility': 'F6', 'customer': 13, 'cost': 975}, {'facility': 'F6', 'customer': 14, 'cost': 738}, {'facility': 'F6', 'customer': 15, 'cost': 68}, {'facility': 'F6', 'customer': 16, 'cost': 85}], 'objective': 6533.0}","{'selected': ['F1', 'F2', 'F4'], 'assignments': ['F2', 'F1', 'F1', 'F2', 'F1', 'F1', 'F4', 'F2', 'F4', 'F4', 'F2', 'F1', 'F4', 'F1', 'F2', 'F4']}",40,nl,1
UFLP,UFLP,"Many people will be at the block party, and the organizers must choose which food truck locations to pay for and tell each attendee area which staffed location to use. Every staffed spot requires a rental fee, and every area adds up walking distance depending on which spot it’s sent to, so the combined total—stall fees plus total walking distance—is what the team wants to keep low. Each area needs exactly one assignment; no area can be unassigned or assigned to multiple spots. The specific data for spots, fees, and attendee areas are listed below.

There are 6 spots and 15 areas in this instance.

**Spots**
| spot_id | rental_fee |
|---|---|
| F1 | 1260 |
| F2 | 1152 |
| F3 | 1939 |
| F4 | 1773 |
| F5 | 1190 |
| F6 | 1017 |

**Areas**
| area_id |
|---|
| A |
| B |
| C |
| D |
| E |
| F |
| G |
| H |
| I |
| J |
| K |
| L |
| M |
| N |
| O |

**Walking Distance**
| spot_id | area_id | walking_distance |
|---|---|---|
| F1 | A | 124 |
| F1 | B | 226 |
| F1 | C | 547 |
| F1 | D | 519 |
| F1 | E | 220 |
| F1 | F | 861 |
| F1 | G | 859 |
| F1 | H | 45 |
| F1 | I | 658 |
| F1 | J | 804 |
| F1 | K | 732 |
| F1 | L | 429 |
| F1 | M | 478 |
| F1 | N | 914 |
| F1 | O | 728 |
| F2 | A | 842 |
| F2 | B | 478 |
| F2 | C | 26 |
| F2 | D | 319 |
| F2 | E | 615 |
| F2 | F | 736 |
| F2 | G | 662 |
| F2 | H | 190 |
| F2 | I | 688 |
| F2 | J | 945 |
| F2 | K | 142 |
| F2 | L | 805 |
| F2 | M | 148 |
| F2 | N | 955 |
| F2 | O | 177 |
| F3 | A | 692 |
| F3 | B | 6 |
| F3 | C | 596 |
| F3 | D | 146 |
| F3 | E | 827 |
| F3 | F | 333 |
| F3 | G | 881 |
| F3 | H | 759 |
| F3 | I | 163 |
| F3 | J | 94 |
| F3 | K | 294 |
| F3 | L | 833 |
| F3 | M | 457 |
| F3 | N | 79 |
| F3 | O | 159 |
| F4 | A | 355 |
| F4 | B | 77 |
| F4 | C | 470 |
| F4 | D | 305 |
| F4 | E | 162 |
| F4 | F | 159 |
| F4 | G | 675 |
| F4 | H | 882 |
| F4 | I | 430 |
| F4 | J | 612 |
| F4 | K | 982 |
| F4 | L | 261 |
| F4 | M | 917 |
| F4 | N | 9 |
| F4 | O | 579 |
| F5 | A | 223 |
| F5 | B | 654 |
| F5 | C | 6 |
| F5 | D | 87 |
| F5 | E | 299 |
| F5 | F | 333 |
| F5 | G | 663 |
| F5 | H | 519 |
| F5 | I | 659 |
| F5 | J | 534 |
| F5 | K | 744 |
| F5 | L | 571 |
| F5 | M | 424 |
| F5 | N | 915 |
| F5 | O | 721 |
| F6 | A | 823 |
| F6 | B | 430 |
| F6 | C | 448 |
| F6 | D | 593 |
| F6 | E | 747 |
| F6 | F | 84 |
| F6 | G | 496 |
| F6 | H | 774 |
| F6 | I | 684 |
| F6 | J | 866 |
| F6 | K | 289 |
| F6 | L | 888 |
| F6 | M | 270 |
| F6 | N | 3 |
| F6 | O | 97 |

You can just send the final choices in a small JSON snippet like this so it's easy to read and parse. Here's the shape I expect:

{
  ""solution"": {
    ""selected"": [<stall_to_rent>, <stall_to_rent>, ...],
    ""assignments"": [<assigned_spot>, <assigned_spot>, ...]
  }
}

""selected"" is the list of staffed spots you decide to pay for (the rental fees). ""assignments"" is, for each attendee area in the same order as the input, which staffed spot that area should use. Super casual: think of ""selected"" as the stalls you're booking, and ""assignments"" as the directions you'd hand out to each group.

This JSON is just a sketch of the expected shape — not the actual answer. Please make sure to use the exact identifiers from the instance input (do not rename them and don’t invent new labels).

- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'opening_costs': [1260, 1152, 1939, 1773, 1190, 1017], 'connection_costs': [[124, 226, 547, 519, 220, 861, 859, 45, 658, 804, 732, 429, 478, 914, 728], [842, 478, 26, 319, 615, 736, 662, 190, 688, 945, 142, 805, 148, 955, 177], [692, 6, 596, 146, 827, 333, 881, 759, 163, 94, 294, 833, 457, 79, 159], [355, 77, 470, 305, 162, 159, 675, 882, 430, 612, 982, 261, 917, 9, 579], [223, 654, 6, 87, 299, 333, 663, 519, 659, 534, 744, 571, 424, 915, 721], [823, 430, 448, 593, 747, 84, 496, 774, 684, 866, 289, 888, 270, 3, 97]], 'objective': 6640.0}","{'open_facilities': [1, 3], 'assignments': [3, 3, 1, 3, 3, 3, 1, 1, 3, 3, 1, 3, 1, 3, 1]}",6640.0,"{'problem_type': 'UFLP', 'num_facilities': 6, 'num_customers': 15, 'facilities': [{'id': 'F1', 'opening_cost': 1260}, {'id': 'F2', 'opening_cost': 1152}, {'id': 'F3', 'opening_cost': 1939}, {'id': 'F4', 'opening_cost': 1773}, {'id': 'F5', 'opening_cost': 1190}, {'id': 'F6', 'opening_cost': 1017}], 'customers': [{'id': 'A'}, {'id': 'B'}, {'id': 'C'}, {'id': 'D'}, {'id': 'E'}, {'id': 'F'}, {'id': 'G'}, {'id': 'H'}, {'id': 'I'}, {'id': 'J'}, {'id': 'K'}, {'id': 'L'}, {'id': 'M'}, {'id': 'N'}, {'id': 'O'}], 'connection_costs': [{'facility': 'F1', 'customer': 'A', 'cost': 124}, {'facility': 'F1', 'customer': 'B', 'cost': 226}, {'facility': 'F1', 'customer': 'C', 'cost': 547}, {'facility': 'F1', 'customer': 'D', 'cost': 519}, {'facility': 'F1', 'customer': 'E', 'cost': 220}, {'facility': 'F1', 'customer': 'F', 'cost': 861}, {'facility': 'F1', 'customer': 'G', 'cost': 859}, {'facility': 'F1', 'customer': 'H', 'cost': 45}, {'facility': 'F1', 'customer': 'I', 'cost': 658}, {'facility': 'F1', 'customer': 'J', 'cost': 804}, {'facility': 'F1', 'customer': 'K', 'cost': 732}, {'facility': 'F1', 'customer': 'L', 'cost': 429}, {'facility': 'F1', 'customer': 'M', 'cost': 478}, {'facility': 'F1', 'customer': 'N', 'cost': 914}, {'facility': 'F1', 'customer': 'O', 'cost': 728}, {'facility': 'F2', 'customer': 'A', 'cost': 842}, {'facility': 'F2', 'customer': 'B', 'cost': 478}, {'facility': 'F2', 'customer': 'C', 'cost': 26}, {'facility': 'F2', 'customer': 'D', 'cost': 319}, {'facility': 'F2', 'customer': 'E', 'cost': 615}, {'facility': 'F2', 'customer': 'F', 'cost': 736}, {'facility': 'F2', 'customer': 'G', 'cost': 662}, {'facility': 'F2', 'customer': 'H', 'cost': 190}, {'facility': 'F2', 'customer': 'I', 'cost': 688}, {'facility': 'F2', 'customer': 'J', 'cost': 945}, {'facility': 'F2', 'customer': 'K', 'cost': 142}, {'facility': 'F2', 'customer': 'L', 'cost': 805}, {'facility': 'F2', 'customer': 'M', 'cost': 148}, {'facility': 'F2', 'customer': 'N', 'cost': 955}, {'facility': 'F2', 'customer': 'O', 'cost': 177}, {'facility': 'F3', 'customer': 'A', 'cost': 692}, {'facility': 'F3', 'customer': 'B', 'cost': 6}, {'facility': 'F3', 'customer': 'C', 'cost': 596}, {'facility': 'F3', 'customer': 'D', 'cost': 146}, {'facility': 'F3', 'customer': 'E', 'cost': 827}, {'facility': 'F3', 'customer': 'F', 'cost': 333}, {'facility': 'F3', 'customer': 'G', 'cost': 881}, {'facility': 'F3', 'customer': 'H', 'cost': 759}, {'facility': 'F3', 'customer': 'I', 'cost': 163}, {'facility': 'F3', 'customer': 'J', 'cost': 94}, {'facility': 'F3', 'customer': 'K', 'cost': 294}, {'facility': 'F3', 'customer': 'L', 'cost': 833}, {'facility': 'F3', 'customer': 'M', 'cost': 457}, {'facility': 'F3', 'customer': 'N', 'cost': 79}, {'facility': 'F3', 'customer': 'O', 'cost': 159}, {'facility': 'F4', 'customer': 'A', 'cost': 355}, {'facility': 'F4', 'customer': 'B', 'cost': 77}, {'facility': 'F4', 'customer': 'C', 'cost': 470}, {'facility': 'F4', 'customer': 'D', 'cost': 305}, {'facility': 'F4', 'customer': 'E', 'cost': 162}, {'facility': 'F4', 'customer': 'F', 'cost': 159}, {'facility': 'F4', 'customer': 'G', 'cost': 675}, {'facility': 'F4', 'customer': 'H', 'cost': 882}, {'facility': 'F4', 'customer': 'I', 'cost': 430}, {'facility': 'F4', 'customer': 'J', 'cost': 612}, {'facility': 'F4', 'customer': 'K', 'cost': 982}, {'facility': 'F4', 'customer': 'L', 'cost': 261}, {'facility': 'F4', 'customer': 'M', 'cost': 917}, {'facility': 'F4', 'customer': 'N', 'cost': 9}, {'facility': 'F4', 'customer': 'O', 'cost': 579}, {'facility': 'F5', 'customer': 'A', 'cost': 223}, {'facility': 'F5', 'customer': 'B', 'cost': 654}, {'facility': 'F5', 'customer': 'C', 'cost': 6}, {'facility': 'F5', 'customer': 'D', 'cost': 87}, {'facility': 'F5', 'customer': 'E', 'cost': 299}, {'facility': 'F5', 'customer': 'F', 'cost': 333}, {'facility': 'F5', 'customer': 'G', 'cost': 663}, {'facility': 'F5', 'customer': 'H', 'cost': 519}, {'facility': 'F5', 'customer': 'I', 'cost': 659}, {'facility': 'F5', 'customer': 'J', 'cost': 534}, {'facility': 'F5', 'customer': 'K', 'cost': 744}, {'facility': 'F5', 'customer': 'L', 'cost': 571}, {'facility': 'F5', 'customer': 'M', 'cost': 424}, {'facility': 'F5', 'customer': 'N', 'cost': 915}, {'facility': 'F5', 'customer': 'O', 'cost': 721}, {'facility': 'F6', 'customer': 'A', 'cost': 823}, {'facility': 'F6', 'customer': 'B', 'cost': 430}, {'facility': 'F6', 'customer': 'C', 'cost': 448}, {'facility': 'F6', 'customer': 'D', 'cost': 593}, {'facility': 'F6', 'customer': 'E', 'cost': 747}, {'facility': 'F6', 'customer': 'F', 'cost': 84}, {'facility': 'F6', 'customer': 'G', 'cost': 496}, {'facility': 'F6', 'customer': 'H', 'cost': 774}, {'facility': 'F6', 'customer': 'I', 'cost': 684}, {'facility': 'F6', 'customer': 'J', 'cost': 866}, {'facility': 'F6', 'customer': 'K', 'cost': 289}, {'facility': 'F6', 'customer': 'L', 'cost': 888}, {'facility': 'F6', 'customer': 'M', 'cost': 270}, {'facility': 'F6', 'customer': 'N', 'cost': 3}, {'facility': 'F6', 'customer': 'O', 'cost': 97}], 'objective': 6640.0}","{'selected': ['F2', 'F4'], 'assignments': ['F4', 'F4', 'F2', 'F4', 'F4', 'F4', 'F2', 'F2', 'F4', 'F4', 'F2', 'F4', 'F2', 'F4', 'F2']}",41,markdown_table,names
UFLP,UFLP,"Someone on the logistics team has to choose which cold depots to open and then point each clinic to exactly one of those open depots so vaccines and supplies can be sent. Every clinic must be tied to a single operating depot — no clinic gets left out and none is linked to a depot that’s closed. The way to tell which choice is preferable is to add the operating fees for the depots that are open and the transport cost for each clinic to its depot; the lower that sum, the better. The concrete numbers follow below.

{
  ""num_candidate_depots"": 6,
  ""num_clinics"": 17,
  ""depots"": [
    {
      ""depot_id"": ""F1"",
      ""depot_operating_cost"": 6383
    },
    {
      ""depot_id"": ""F2"",
      ""depot_operating_cost"": 6161
    },
    {
      ""depot_id"": ""F3"",
      ""depot_operating_cost"": 6735
    },
    {
      ""depot_id"": ""F4"",
      ""depot_operating_cost"": 5537
    },
    {
      ""depot_id"": ""F5"",
      ""depot_operating_cost"": 1905
    },
    {
      ""depot_id"": ""F6"",
      ""depot_operating_cost"": 5781
    }
  ],
  ""clinics"": [
    {
      ""clinic_id"": 1
    },
    {
      ""clinic_id"": 2
    },
    {
      ""clinic_id"": 3
    },
    {
      ""clinic_id"": 4
    },
    {
      ""clinic_id"": 5
    },
    {
      ""clinic_id"": 6
    },
    {
      ""clinic_id"": 7
    },
    {
      ""clinic_id"": 8
    },
    {
      ""clinic_id"": 9
    },
    {
      ""clinic_id"": 10
    },
    {
      ""clinic_id"": 11
    },
    {
      ""clinic_id"": 12
    },
    {
      ""clinic_id"": 13
    },
    {
      ""clinic_id"": 14
    },
    {
      ""clinic_id"": 15
    },
    {
      ""clinic_id"": 16
    },
    {
      ""clinic_id"": 17
    }
  ],
  ""transports"": [
    {
      ""depot_id"": ""F1"",
      ""clinic_id"": 1,
      ""transport_cost"": 148
    },
    {
      ""depot_id"": ""F1"",
      ""clinic_id"": 2,
      ""transport_cost"": 533
    },
    {
      ""depot_id"": ""F1"",
      ""clinic_id"": 3,
      ""transport_cost"": 296
    },
    {
      ""depot_id"": ""F1"",
      ""clinic_id"": 4,
      ""transport_cost"": 867
    },
    {
      ""depot_id"": ""F1"",
      ""clinic_id"": 5,
      ""transport_cost"": 754
    },
    {
      ""depot_id"": ""F1"",
      ""clinic_id"": 6,
      ""transport_cost"": 274
    },
    {
      ""depot_id"": ""F1"",
      ""clinic_id"": 7,
      ""transport_cost"": 520
    },
    {
      ""depot_id"": ""F1"",
      ""clinic_id"": 8,
      ""transport_cost"": 433
    },
    {
      ""depot_id"": ""F1"",
      ""clinic_id"": 9,
      ""transport_cost"": 23
    },
    {
      ""depot_id"": ""F1"",
      ""clinic_id"": 10,
      ""transport_cost"": 217
    },
    {
      ""depot_id"": ""F1"",
      ""clinic_id"": 11,
      ""transport_cost"": 902
    },
    {
      ""depot_id"": ""F1"",
      ""clinic_id"": 12,
      ""transport_cost"": 389
    },
    {
      ""depot_id"": ""F1"",
      ""clinic_id"": 13,
      ""transport_cost"": 536
    },
    {
      ""depot_id"": ""F1"",
      ""clinic_id"": 14,
      ""transport_cost"": 371
    },
    {
      ""depot_id"": ""F1"",
      ""clinic_id"": 15,
      ""transport_cost"": 625
    },
    {
      ""depot_id"": ""F1"",
      ""clinic_id"": 16,
      ""transport_cost"": 275
    },
    {
      ""depot_id"": ""F1"",
      ""clinic_id"": 17,
      ""transport_cost"": 217
    },
    {
      ""depot_id"": ""F2"",
      ""clinic_id"": 1,
      ""transport_cost"": 197
    },
    {
      ""depot_id"": ""F2"",
      ""clinic_id"": 2,
      ""transport_cost"": 911
    },
    {
      ""depot_id"": ""F2"",
      ""clinic_id"": 3,
      ""transport_cost"": 28
    },
    {
      ""depot_id"": ""F2"",
      ""clinic_id"": 4,
      ""transport_cost"": 548
    },
    {
      ""depot_id"": ""F2"",
      ""clinic_id"": 5,
      ""transport_cost"": 715
    },
    {
      ""depot_id"": ""F2"",
      ""clinic_id"": 6,
      ""transport_cost"": 344
    },
    {
      ""depot_id"": ""F2"",
      ""clinic_id"": 7,
      ""transport_cost"": 331
    },
    {
      ""depot_id"": ""F2"",
      ""clinic_id"": 8,
      ""transport_cost"": 66
    },
    {
      ""depot_id"": ""F2"",
      ""clinic_id"": 9,
      ""transport_cost"": 113
    },
    {
      ""depot_id"": ""F2"",
      ""clinic_id"": 10,
      ""transport_cost"": 432
    },
    {
      ""depot_id"": ""F2"",
      ""clinic_id"": 11,
      ""transport_cost"": 908
    },
    {
      ""depot_id"": ""F2"",
      ""clinic_id"": 12,
      ""transport_cost"": 308
    },
    {
      ""depot_id"": ""F2"",
      ""clinic_id"": 13,
      ""transport_cost"": 541
    },
    {
      ""depot_id"": ""F2"",
      ""clinic_id"": 14,
      ""transport_cost"": 638
    },
    {
      ""depot_id"": ""F2"",
      ""clinic_id"": 15,
      ""transport_cost"": 838
    },
    {
      ""depot_id"": ""F2"",
      ""clinic_id"": 16,
      ""transport_cost"": 952
    },
    {
      ""depot_id"": ""F2"",
      ""clinic_id"": 17,
      ""transport_cost"": 689
    },
    {
      ""depot_id"": ""F3"",
      ""clinic_id"": 1,
      ""transport_cost"": 909
    },
    {
      ""depot_id"": ""F3"",
      ""clinic_id"": 2,
      ""transport_cost"": 557
    },
    {
      ""depot_id"": ""F3"",
      ""clinic_id"": 3,
      ""transport_cost"": 716
    },
    {
      ""depot_id"": ""F3"",
      ""clinic_id"": 4,
      ""transport_cost"": 609
    },
    {
      ""depot_id"": ""F3"",
      ""clinic_id"": 5,
      ""transport_cost"": 920
    },
    {
      ""depot_id"": ""F3"",
      ""clinic_id"": 6,
      ""transport_cost"": 119
    },
    {
      ""depot_id"": ""F3"",
      ""clinic_id"": 7,
      ""transport_cost"": 704
    },
    {
      ""depot_id"": ""F3"",
      ""clinic_id"": 8,
      ""transport_cost"": 520
    },
    {
      ""depot_id"": ""F3"",
      ""clinic_id"": 9,
      ""transport_cost"": 676
    },
    {
      ""depot_id"": ""F3"",
      ""clinic_id"": 10,
      ""transport_cost"": 789
    },
    {
      ""depot_id"": ""F3"",
      ""clinic_id"": 11,
      ""transport_cost"": 338
    },
    {
      ""depot_id"": ""F3"",
      ""clinic_id"": 12,
      ""transport_cost"": 128
    },
    {
      ""depot_id"": ""F3"",
      ""clinic_id"": 13,
      ""transport_cost"": 140
    },
    {
      ""depot_id"": ""F3"",
      ""clinic_id"": 14,
      ""transport_cost"": 52
    },
    {
      ""depot_id"": ""F3"",
      ""clinic_id"": 15,
      ""transport_cost"": 229
    },
    {
      ""depot_id"": ""F3"",
      ""clinic_id"": 16,
      ""transport_cost"": 708
    },
    {
      ""depot_id"": ""F3"",
      ""clinic_id"": 17,
      ""transport_cost"": 506
    },
    {
      ""depot_id"": ""F4"",
      ""clinic_id"": 1,
      ""transport_cost"": 608
    },
    {
      ""depot_id"": ""F4"",
      ""clinic_id"": 2,
      ""transport_cost"": 32
    },
    {
      ""depot_id"": ""F4"",
      ""clinic_id"": 3,
      ""transport_cost"": 531
    },
    {
      ""depot_id"": ""F4"",
      ""clinic_id"": 4,
      ""transport_cost"": 695
    },
    {
      ""depot_id"": ""F4"",
      ""clinic_id"": 5,
      ""transport_cost"": 26
    },
    {
      ""depot_id"": ""F4"",
      ""clinic_id"": 6,
      ""transport_cost"": 700
    },
    {
      ""depot_id"": ""F4"",
      ""clinic_id"": 7,
      ""transport_cost"": 769
    },
    {
      ""depot_id"": ""F4"",
      ""clinic_id"": 8,
      ""transport_cost"": 154
    },
    {
      ""depot_id"": ""F4"",
      ""clinic_id"": 9,
      ""transport_cost"": 729
    },
    {
      ""depot_id"": ""F4"",
      ""clinic_id"": 10,
      ""transport_cost"": 711
    },
    {
      ""depot_id"": ""F4"",
      ""clinic_id"": 11,
      ""transport_cost"": 72
    },
    {
      ""depot_id"": ""F4"",
      ""clinic_id"": 12,
      ""transport_cost"": 479
    },
    {
      ""depot_id"": ""F4"",
      ""clinic_id"": 13,
      ""transport_cost"": 604
    },
    {
      ""depot_id"": ""F4"",
      ""clinic_id"": 14,
      ""transport_cost"": 56
    },
    {
      ""depot_id"": ""F4"",
      ""clinic_id"": 15,
      ""transport_cost"": 828
    },
    {
      ""depot_id"": ""F4"",
      ""clinic_id"": 16,
      ""transport_cost"": 964
    },
    {
      ""depot_id"": ""F4"",
      ""clinic_id"": 17,
      ""transport_cost"": 115
    },
    {
      ""depot_id"": ""F5"",
      ""clinic_id"": 1,
      ""transport_cost"": 272
    },
    {
      ""depot_id"": ""F5"",
      ""clinic_id"": 2,
      ""transport_cost"": 429
    },
    {
      ""depot_id"": ""F5"",
      ""clinic_id"": 3,
      ""transport_cost"": 950
    },
    {
      ""depot_id"": ""F5"",
      ""clinic_id"": 4,
      ""transport_cost"": 227
    },
    {
      ""depot_id"": ""F5"",
      ""clinic_id"": 5,
      ""transport_cost"": 607
    },
    {
      ""depot_id"": ""F5"",
      ""clinic_id"": 6,
      ""transport_cost"": 572
    },
    {
      ""depot_id"": ""F5"",
      ""clinic_id"": 7,
      ""transport_cost"": 407
    },
    {
      ""depot_id"": ""F5"",
      ""clinic_id"": 8,
      ""transport_cost"": 653
    },
    {
      ""depot_id"": ""F5"",
      ""clinic_id"": 9,
      ""transport_cost"": 73
    },
    {
      ""depot_id"": ""F5"",
      ""clinic_id"": 10,
      ""transport_cost"": 615
    },
    {
      ""depot_id"": ""F5"",
      ""clinic_id"": 11,
      ""transport_cost"": 692
    },
    {
      ""depot_id"": ""F5"",
      ""clinic_id"": 12,
      ""transport_cost"": 351
    },
    {
      ""depot_id"": ""F5"",
      ""clinic_id"": 13,
      ""transport_cost"": 235
    },
    {
      ""depot_id"": ""F5"",
      ""clinic_id"": 14,
      ""transport_cost"": 504
    },
    {
      ""depot_id"": ""F5"",
      ""clinic_id"": 15,
      ""transport_cost"": 913
    },
    {
      ""depot_id"": ""F5"",
      ""clinic_id"": 16,
      ""transport_cost"": 711
    },
    {
      ""depot_id"": ""F5"",
      ""clinic_id"": 17,
      ""transport_cost"": 639
    },
    {
      ""depot_id"": ""F6"",
      ""clinic_id"": 1,
      ""transport_cost"": 681
    },
    {
      ""depot_id"": ""F6"",
      ""clinic_id"": 2,
      ""transport_cost"": 744
    },
    {
      ""depot_id"": ""F6"",
      ""clinic_id"": 3,
      ""transport_cost"": 712
    },
    {
      ""depot_id"": ""F6"",
      ""clinic_id"": 4,
      ""transport_cost"": 138
    },
    {
      ""depot_id"": ""F6"",
      ""clinic_id"": 5,
      ""transport_cost"": 427
    },
    {
      ""depot_id"": ""F6"",
      ""clinic_id"": 6,
      ""transport_cost"": 832
    },
    {
      ""depot_id"": ""F6"",
      ""clinic_id"": 7,
      ""transport_cost"": 561
    },
    {
      ""depot_id"": ""F6"",
      ""clinic_id"": 8,
      ""transport_cost"": 893
    },
    {
      ""depot_id"": ""F6"",
      ""clinic_id"": 9,
      ""transport_cost"": 125
    },
    {
      ""depot_id"": ""F6"",
      ""clinic_id"": 10,
      ""transport_cost"": 529
    },
    {
      ""depot_id"": ""F6"",
      ""clinic_id"": 11,
      ""transport_cost"": 28
    },
    {
      ""depot_id"": ""F6"",
      ""clinic_id"": 12,
      ""transport_cost"": 399
    },
    {
      ""depot_id"": ""F6"",
      ""clinic_id"": 13,
      ""transport_cost"": 903
    },
    {
      ""depot_id"": ""F6"",
      ""clinic_id"": 14,
      ""transport_cost"": 104
    },
    {
      ""depot_id"": ""F6"",
      ""clinic_id"": 15,
      ""transport_cost"": 191
    },
    {
      ""depot_id"": ""F6"",
      ""clinic_id"": 16,
      ""transport_cost"": 838
    },
    {
      ""depot_id"": ""F6"",
      ""clinic_id"": 17,
      ""transport_cost"": 505
    }
  ]
}

Also, when you send back the actual choices, please use this simple JSON layout so it’s easy to read and plug into our tools — here’s the shape we expect:

{
  ""solution"": {
    ""selected"": [<site_to_open>, <site_to_open>, ...],
    ""assignments"": [<chosen_open_site>, <chosen_open_site>, ...]
  }
}

Quick note on what those fields mean in plain terms: selected is the list of depot ids you decide to open; assignments lists, for each clinic (in the same order as the instance), the id of the open depot that clinic will use. Think of it like a short form: which depots open, and who goes where.

This JSON is just a sketch of the expected shape — not the actual answer. Please make sure all identifiers are used exactly as they appear in the instance input — no renaming and no new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'opening_costs': [6383, 6161, 6735, 5537, 1905, 5781], 'connection_costs': [[148, 533, 296, 867, 754, 274, 520, 433, 23, 217, 902, 389, 536, 371, 625, 275, 217], [197, 911, 28, 548, 715, 344, 331, 66, 113, 432, 908, 308, 541, 638, 838, 952, 689], [909, 557, 716, 609, 920, 119, 704, 520, 676, 789, 338, 128, 140, 52, 229, 708, 506], [608, 32, 531, 695, 26, 700, 769, 154, 729, 711, 72, 479, 604, 56, 828, 964, 115], [272, 429, 950, 227, 607, 572, 407, 653, 73, 615, 692, 351, 235, 504, 913, 711, 639], [681, 744, 712, 138, 427, 832, 561, 893, 125, 529, 28, 399, 903, 104, 191, 838, 505]], 'objective': 10755.0}","{'open_facilities': [4], 'assignments': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]}",10755.0,"{'problem_type': 'UFLP', 'num_facilities': 6, 'num_customers': 17, 'facilities': [{'id': 'F1', 'opening_cost': 6383}, {'id': 'F2', 'opening_cost': 6161}, {'id': 'F3', 'opening_cost': 6735}, {'id': 'F4', 'opening_cost': 5537}, {'id': 'F5', 'opening_cost': 1905}, {'id': 'F6', 'opening_cost': 5781}], 'customers': [{'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}, {'id': 16}, {'id': 17}], 'connection_costs': [{'facility': 'F1', 'customer': 1, 'cost': 148}, {'facility': 'F1', 'customer': 2, 'cost': 533}, {'facility': 'F1', 'customer': 3, 'cost': 296}, {'facility': 'F1', 'customer': 4, 'cost': 867}, {'facility': 'F1', 'customer': 5, 'cost': 754}, {'facility': 'F1', 'customer': 6, 'cost': 274}, {'facility': 'F1', 'customer': 7, 'cost': 520}, {'facility': 'F1', 'customer': 8, 'cost': 433}, {'facility': 'F1', 'customer': 9, 'cost': 23}, {'facility': 'F1', 'customer': 10, 'cost': 217}, {'facility': 'F1', 'customer': 11, 'cost': 902}, {'facility': 'F1', 'customer': 12, 'cost': 389}, {'facility': 'F1', 'customer': 13, 'cost': 536}, {'facility': 'F1', 'customer': 14, 'cost': 371}, {'facility': 'F1', 'customer': 15, 'cost': 625}, {'facility': 'F1', 'customer': 16, 'cost': 275}, {'facility': 'F1', 'customer': 17, 'cost': 217}, {'facility': 'F2', 'customer': 1, 'cost': 197}, {'facility': 'F2', 'customer': 2, 'cost': 911}, {'facility': 'F2', 'customer': 3, 'cost': 28}, {'facility': 'F2', 'customer': 4, 'cost': 548}, {'facility': 'F2', 'customer': 5, 'cost': 715}, {'facility': 'F2', 'customer': 6, 'cost': 344}, {'facility': 'F2', 'customer': 7, 'cost': 331}, {'facility': 'F2', 'customer': 8, 'cost': 66}, {'facility': 'F2', 'customer': 9, 'cost': 113}, {'facility': 'F2', 'customer': 10, 'cost': 432}, {'facility': 'F2', 'customer': 11, 'cost': 908}, {'facility': 'F2', 'customer': 12, 'cost': 308}, {'facility': 'F2', 'customer': 13, 'cost': 541}, {'facility': 'F2', 'customer': 14, 'cost': 638}, {'facility': 'F2', 'customer': 15, 'cost': 838}, {'facility': 'F2', 'customer': 16, 'cost': 952}, {'facility': 'F2', 'customer': 17, 'cost': 689}, {'facility': 'F3', 'customer': 1, 'cost': 909}, {'facility': 'F3', 'customer': 2, 'cost': 557}, {'facility': 'F3', 'customer': 3, 'cost': 716}, {'facility': 'F3', 'customer': 4, 'cost': 609}, {'facility': 'F3', 'customer': 5, 'cost': 920}, {'facility': 'F3', 'customer': 6, 'cost': 119}, {'facility': 'F3', 'customer': 7, 'cost': 704}, {'facility': 'F3', 'customer': 8, 'cost': 520}, {'facility': 'F3', 'customer': 9, 'cost': 676}, {'facility': 'F3', 'customer': 10, 'cost': 789}, {'facility': 'F3', 'customer': 11, 'cost': 338}, {'facility': 'F3', 'customer': 12, 'cost': 128}, {'facility': 'F3', 'customer': 13, 'cost': 140}, {'facility': 'F3', 'customer': 14, 'cost': 52}, {'facility': 'F3', 'customer': 15, 'cost': 229}, {'facility': 'F3', 'customer': 16, 'cost': 708}, {'facility': 'F3', 'customer': 17, 'cost': 506}, {'facility': 'F4', 'customer': 1, 'cost': 608}, {'facility': 'F4', 'customer': 2, 'cost': 32}, {'facility': 'F4', 'customer': 3, 'cost': 531}, {'facility': 'F4', 'customer': 4, 'cost': 695}, {'facility': 'F4', 'customer': 5, 'cost': 26}, {'facility': 'F4', 'customer': 6, 'cost': 700}, {'facility': 'F4', 'customer': 7, 'cost': 769}, {'facility': 'F4', 'customer': 8, 'cost': 154}, {'facility': 'F4', 'customer': 9, 'cost': 729}, {'facility': 'F4', 'customer': 10, 'cost': 711}, {'facility': 'F4', 'customer': 11, 'cost': 72}, {'facility': 'F4', 'customer': 12, 'cost': 479}, {'facility': 'F4', 'customer': 13, 'cost': 604}, {'facility': 'F4', 'customer': 14, 'cost': 56}, {'facility': 'F4', 'customer': 15, 'cost': 828}, {'facility': 'F4', 'customer': 16, 'cost': 964}, {'facility': 'F4', 'customer': 17, 'cost': 115}, {'facility': 'F5', 'customer': 1, 'cost': 272}, {'facility': 'F5', 'customer': 2, 'cost': 429}, {'facility': 'F5', 'customer': 3, 'cost': 950}, {'facility': 'F5', 'customer': 4, 'cost': 227}, {'facility': 'F5', 'customer': 5, 'cost': 607}, {'facility': 'F5', 'customer': 6, 'cost': 572}, {'facility': 'F5', 'customer': 7, 'cost': 407}, {'facility': 'F5', 'customer': 8, 'cost': 653}, {'facility': 'F5', 'customer': 9, 'cost': 73}, {'facility': 'F5', 'customer': 10, 'cost': 615}, {'facility': 'F5', 'customer': 11, 'cost': 692}, {'facility': 'F5', 'customer': 12, 'cost': 351}, {'facility': 'F5', 'customer': 13, 'cost': 235}, {'facility': 'F5', 'customer': 14, 'cost': 504}, {'facility': 'F5', 'customer': 15, 'cost': 913}, {'facility': 'F5', 'customer': 16, 'cost': 711}, {'facility': 'F5', 'customer': 17, 'cost': 639}, {'facility': 'F6', 'customer': 1, 'cost': 681}, {'facility': 'F6', 'customer': 2, 'cost': 744}, {'facility': 'F6', 'customer': 3, 'cost': 712}, {'facility': 'F6', 'customer': 4, 'cost': 138}, {'facility': 'F6', 'customer': 5, 'cost': 427}, {'facility': 'F6', 'customer': 6, 'cost': 832}, {'facility': 'F6', 'customer': 7, 'cost': 561}, {'facility': 'F6', 'customer': 8, 'cost': 893}, {'facility': 'F6', 'customer': 9, 'cost': 125}, {'facility': 'F6', 'customer': 10, 'cost': 529}, {'facility': 'F6', 'customer': 11, 'cost': 28}, {'facility': 'F6', 'customer': 12, 'cost': 399}, {'facility': 'F6', 'customer': 13, 'cost': 903}, {'facility': 'F6', 'customer': 14, 'cost': 104}, {'facility': 'F6', 'customer': 15, 'cost': 191}, {'facility': 'F6', 'customer': 16, 'cost': 838}, {'facility': 'F6', 'customer': 17, 'cost': 505}], 'objective': 10755.0}","{'selected': ['F5'], 'assignments': ['F5', 'F5', 'F5', 'F5', 'F5', 'F5', 'F5', 'F5', 'F5', 'F5', 'F5', 'F5', 'F5', 'F5', 'F5', 'F5', 'F5']}",42,json,1
UFLP,UFLP,"I run the distribution side of a retail network and need to pick which micro-warehouses to switch on and which hub will serve each shop. The idea is simple: every shop has to be tied to one—and only one—open hub, and the total bill is the sum of the opening fees for the hubs chosen plus all the shipment costs from hubs to shops. A plan is better when that combined bill is smaller, so the challenge is to turn on a smart set of hubs and link each shop to one of them without leaving any shop out or giving any shop two homes. The concrete details (locations, fees and shipping costs) are shown below.

{
  ""total_candidate_hubs"": 8,
  ""total_shops"": 16,
  ""hubs"": [
    {
      ""hub_id"": ""F1"",
      ""activation_fee"": 6182
    },
    {
      ""hub_id"": ""F2"",
      ""activation_fee"": 6249
    },
    {
      ""hub_id"": ""F3"",
      ""activation_fee"": 4281
    },
    {
      ""hub_id"": ""F4"",
      ""activation_fee"": 1488
    },
    {
      ""hub_id"": ""F5"",
      ""activation_fee"": 4636
    },
    {
      ""hub_id"": ""F6"",
      ""activation_fee"": 2176
    },
    {
      ""hub_id"": ""F7"",
      ""activation_fee"": 7678
    },
    {
      ""hub_id"": ""F8"",
      ""activation_fee"": 8217
    }
  ],
  ""shops"": [
    {
      ""shop_id"": 1
    },
    {
      ""shop_id"": 2
    },
    {
      ""shop_id"": 3
    },
    {
      ""shop_id"": 4
    },
    {
      ""shop_id"": 5
    },
    {
      ""shop_id"": 6
    },
    {
      ""shop_id"": 7
    },
    {
      ""shop_id"": 8
    },
    {
      ""shop_id"": 9
    },
    {
      ""shop_id"": 10
    },
    {
      ""shop_id"": 11
    },
    {
      ""shop_id"": 12
    },
    {
      ""shop_id"": 13
    },
    {
      ""shop_id"": 14
    },
    {
      ""shop_id"": 15
    },
    {
      ""shop_id"": 16
    }
  ],
  ""shipments"": [
    {
      ""hub_id"": ""F1"",
      ""shop_id"": 1,
      ""shipment_cost"": 830
    },
    {
      ""hub_id"": ""F1"",
      ""shop_id"": 2,
      ""shipment_cost"": 162
    },
    {
      ""hub_id"": ""F1"",
      ""shop_id"": 3,
      ""shipment_cost"": 460
    },
    {
      ""hub_id"": ""F1"",
      ""shop_id"": 4,
      ""shipment_cost"": 621
    },
    {
      ""hub_id"": ""F1"",
      ""shop_id"": 5,
      ""shipment_cost"": 735
    },
    {
      ""hub_id"": ""F1"",
      ""shop_id"": 6,
      ""shipment_cost"": 52
    },
    {
      ""hub_id"": ""F1"",
      ""shop_id"": 7,
      ""shipment_cost"": 592
    },
    {
      ""hub_id"": ""F1"",
      ""shop_id"": 8,
      ""shipment_cost"": 302
    },
    {
      ""hub_id"": ""F1"",
      ""shop_id"": 9,
      ""shipment_cost"": 181
    },
    {
      ""hub_id"": ""F1"",
      ""shop_id"": 10,
      ""shipment_cost"": 349
    },
    {
      ""hub_id"": ""F1"",
      ""shop_id"": 11,
      ""shipment_cost"": 633
    },
    {
      ""hub_id"": ""F1"",
      ""shop_id"": 12,
      ""shipment_cost"": 556
    },
    {
      ""hub_id"": ""F1"",
      ""shop_id"": 13,
      ""shipment_cost"": 895
    },
    {
      ""hub_id"": ""F1"",
      ""shop_id"": 14,
      ""shipment_cost"": 697
    },
    {
      ""hub_id"": ""F1"",
      ""shop_id"": 15,
      ""shipment_cost"": 264
    },
    {
      ""hub_id"": ""F1"",
      ""shop_id"": 16,
      ""shipment_cost"": 350
    },
    {
      ""hub_id"": ""F2"",
      ""shop_id"": 1,
      ""shipment_cost"": 11
    },
    {
      ""hub_id"": ""F2"",
      ""shop_id"": 2,
      ""shipment_cost"": 934
    },
    {
      ""hub_id"": ""F2"",
      ""shop_id"": 3,
      ""shipment_cost"": 759
    },
    {
      ""hub_id"": ""F2"",
      ""shop_id"": 4,
      ""shipment_cost"": 354
    },
    {
      ""hub_id"": ""F2"",
      ""shop_id"": 5,
      ""shipment_cost"": 946
    },
    {
      ""hub_id"": ""F2"",
      ""shop_id"": 6,
      ""shipment_cost"": 283
    },
    {
      ""hub_id"": ""F2"",
      ""shop_id"": 7,
      ""shipment_cost"": 475
    },
    {
      ""hub_id"": ""F2"",
      ""shop_id"": 8,
      ""shipment_cost"": 745
    },
    {
      ""hub_id"": ""F2"",
      ""shop_id"": 9,
      ""shipment_cost"": 813
    },
    {
      ""hub_id"": ""F2"",
      ""shop_id"": 10,
      ""shipment_cost"": 249
    },
    {
      ""hub_id"": ""F2"",
      ""shop_id"": 11,
      ""shipment_cost"": 487
    },
    {
      ""hub_id"": ""F2"",
      ""shop_id"": 12,
      ""shipment_cost"": 160
    },
    {
      ""hub_id"": ""F2"",
      ""shop_id"": 13,
      ""shipment_cost"": 666
    },
    {
      ""hub_id"": ""F2"",
      ""shop_id"": 14,
      ""shipment_cost"": 739
    },
    {
      ""hub_id"": ""F2"",
      ""shop_id"": 15,
      ""shipment_cost"": 950
    },
    {
      ""hub_id"": ""F2"",
      ""shop_id"": 16,
      ""shipment_cost"": 196
    },
    {
      ""hub_id"": ""F3"",
      ""shop_id"": 1,
      ""shipment_cost"": 962
    },
    {
      ""hub_id"": ""F3"",
      ""shop_id"": 2,
      ""shipment_cost"": 108
    },
    {
      ""hub_id"": ""F3"",
      ""shop_id"": 3,
      ""shipment_cost"": 170
    },
    {
      ""hub_id"": ""F3"",
      ""shop_id"": 4,
      ""shipment_cost"": 214
    },
    {
      ""hub_id"": ""F3"",
      ""shop_id"": 5,
      ""shipment_cost"": 199
    },
    {
      ""hub_id"": ""F3"",
      ""shop_id"": 6,
      ""shipment_cost"": 770
    },
    {
      ""hub_id"": ""F3"",
      ""shop_id"": 7,
      ""shipment_cost"": 786
    },
    {
      ""hub_id"": ""F3"",
      ""shop_id"": 8,
      ""shipment_cost"": 353
    },
    {
      ""hub_id"": ""F3"",
      ""shop_id"": 9,
      ""shipment_cost"": 878
    },
    {
      ""hub_id"": ""F3"",
      ""shop_id"": 10,
      ""shipment_cost"": 113
    },
    {
      ""hub_id"": ""F3"",
      ""shop_id"": 11,
      ""shipment_cost"": 927
    },
    {
      ""hub_id"": ""F3"",
      ""shop_id"": 12,
      ""shipment_cost"": 978
    },
    {
      ""hub_id"": ""F3"",
      ""shop_id"": 13,
      ""shipment_cost"": 817
    },
    {
      ""hub_id"": ""F3"",
      ""shop_id"": 14,
      ""shipment_cost"": 708
    },
    {
      ""hub_id"": ""F3"",
      ""shop_id"": 15,
      ""shipment_cost"": 856
    },
    {
      ""hub_id"": ""F3"",
      ""shop_id"": 16,
      ""shipment_cost"": 115
    },
    {
      ""hub_id"": ""F4"",
      ""shop_id"": 1,
      ""shipment_cost"": 340
    },
    {
      ""hub_id"": ""F4"",
      ""shop_id"": 2,
      ""shipment_cost"": 984
    },
    {
      ""hub_id"": ""F4"",
      ""shop_id"": 3,
      ""shipment_cost"": 84
    },
    {
      ""hub_id"": ""F4"",
      ""shop_id"": 4,
      ""shipment_cost"": 664
    },
    {
      ""hub_id"": ""F4"",
      ""shop_id"": 5,
      ""shipment_cost"": 429
    },
    {
      ""hub_id"": ""F4"",
      ""shop_id"": 6,
      ""shipment_cost"": 90
    },
    {
      ""hub_id"": ""F4"",
      ""shop_id"": 7,
      ""shipment_cost"": 211
    },
    {
      ""hub_id"": ""F4"",
      ""shop_id"": 8,
      ""shipment_cost"": 329
    },
    {
      ""hub_id"": ""F4"",
      ""shop_id"": 9,
      ""shipment_cost"": 234
    },
    {
      ""hub_id"": ""F4"",
      ""shop_id"": 10,
      ""shipment_cost"": 930
    },
    {
      ""hub_id"": ""F4"",
      ""shop_id"": 11,
      ""shipment_cost"": 706
    },
    {
      ""hub_id"": ""F4"",
      ""shop_id"": 12,
      ""shipment_cost"": 371
    },
    {
      ""hub_id"": ""F4"",
      ""shop_id"": 13,
      ""shipment_cost"": 590
    },
    {
      ""hub_id"": ""F4"",
      ""shop_id"": 14,
      ""shipment_cost"": 668
    },
    {
      ""hub_id"": ""F4"",
      ""shop_id"": 15,
      ""shipment_cost"": 796
    },
    {
      ""hub_id"": ""F4"",
      ""shop_id"": 16,
      ""shipment_cost"": 570
    },
    {
      ""hub_id"": ""F5"",
      ""shop_id"": 1,
      ""shipment_cost"": 400
    },
    {
      ""hub_id"": ""F5"",
      ""shop_id"": 2,
      ""shipment_cost"": 302
    },
    {
      ""hub_id"": ""F5"",
      ""shop_id"": 3,
      ""shipment_cost"": 92
    },
    {
      ""hub_id"": ""F5"",
      ""shop_id"": 4,
      ""shipment_cost"": 5
    },
    {
      ""hub_id"": ""F5"",
      ""shop_id"": 5,
      ""shipment_cost"": 905
    },
    {
      ""hub_id"": ""F5"",
      ""shop_id"": 6,
      ""shipment_cost"": 554
    },
    {
      ""hub_id"": ""F5"",
      ""shop_id"": 7,
      ""shipment_cost"": 403
    },
    {
      ""hub_id"": ""F5"",
      ""shop_id"": 8,
      ""shipment_cost"": 645
    },
    {
      ""hub_id"": ""F5"",
      ""shop_id"": 9,
      ""shipment_cost"": 80
    },
    {
      ""hub_id"": ""F5"",
      ""shop_id"": 10,
      ""shipment_cost"": 292
    },
    {
      ""hub_id"": ""F5"",
      ""shop_id"": 11,
      ""shipment_cost"": 568
    },
    {
      ""hub_id"": ""F5"",
      ""shop_id"": 12,
      ""shipment_cost"": 376
    },
    {
      ""hub_id"": ""F5"",
      ""shop_id"": 13,
      ""shipment_cost"": 490
    },
    {
      ""hub_id"": ""F5"",
      ""shop_id"": 14,
      ""shipment_cost"": 600
    },
    {
      ""hub_id"": ""F5"",
      ""shop_id"": 15,
      ""shipment_cost"": 404
    },
    {
      ""hub_id"": ""F5"",
      ""shop_id"": 16,
      ""shipment_cost"": 287
    },
    {
      ""hub_id"": ""F6"",
      ""shop_id"": 1,
      ""shipment_cost"": 93
    },
    {
      ""hub_id"": ""F6"",
      ""shop_id"": 2,
      ""shipment_cost"": 658
    },
    {
      ""hub_id"": ""F6"",
      ""shop_id"": 3,
      ""shipment_cost"": 302
    },
    {
      ""hub_id"": ""F6"",
      ""shop_id"": 4,
      ""shipment_cost"": 885
    },
    {
      ""hub_id"": ""F6"",
      ""shop_id"": 5,
      ""shipment_cost"": 544
    },
    {
      ""hub_id"": ""F6"",
      ""shop_id"": 6,
      ""shipment_cost"": 475
    },
    {
      ""hub_id"": ""F6"",
      ""shop_id"": 7,
      ""shipment_cost"": 488
    },
    {
      ""hub_id"": ""F6"",
      ""shop_id"": 8,
      ""shipment_cost"": 894
    },
    {
      ""hub_id"": ""F6"",
      ""shop_id"": 9,
      ""shipment_cost"": 578
    },
    {
      ""hub_id"": ""F6"",
      ""shop_id"": 10,
      ""shipment_cost"": 529
    },
    {
      ""hub_id"": ""F6"",
      ""shop_id"": 11,
      ""shipment_cost"": 319
    },
    {
      ""hub_id"": ""F6"",
      ""shop_id"": 12,
      ""shipment_cost"": 111
    },
    {
      ""hub_id"": ""F6"",
      ""shop_id"": 13,
      ""shipment_cost"": 596
    },
    {
      ""hub_id"": ""F6"",
      ""shop_id"": 14,
      ""shipment_cost"": 170
    },
    {
      ""hub_id"": ""F6"",
      ""shop_id"": 15,
      ""shipment_cost"": 829
    },
    {
      ""hub_id"": ""F6"",
      ""shop_id"": 16,
      ""shipment_cost"": 964
    },
    {
      ""hub_id"": ""F7"",
      ""shop_id"": 1,
      ""shipment_cost"": 397
    },
    {
      ""hub_id"": ""F7"",
      ""shop_id"": 2,
      ""shipment_cost"": 264
    },
    {
      ""hub_id"": ""F7"",
      ""shop_id"": 3,
      ""shipment_cost"": 933
    },
    {
      ""hub_id"": ""F7"",
      ""shop_id"": 4,
      ""shipment_cost"": 448
    },
    {
      ""hub_id"": ""F7"",
      ""shop_id"": 5,
      ""shipment_cost"": 967
    },
    {
      ""hub_id"": ""F7"",
      ""shop_id"": 6,
      ""shipment_cost"": 349
    },
    {
      ""hub_id"": ""F7"",
      ""shop_id"": 7,
      ""shipment_cost"": 721
    },
    {
      ""hub_id"": ""F7"",
      ""shop_id"": 8,
      ""shipment_cost"": 743
    },
    {
      ""hub_id"": ""F7"",
      ""shop_id"": 9,
      ""shipment_cost"": 270
    },
    {
      ""hub_id"": ""F7"",
      ""shop_id"": 10,
      ""shipment_cost"": 942
    },
    {
      ""hub_id"": ""F7"",
      ""shop_id"": 11,
      ""shipment_cost"": 587
    },
    {
      ""hub_id"": ""F7"",
      ""shop_id"": 12,
      ""shipment_cost"": 74
    },
    {
      ""hub_id"": ""F7"",
      ""shop_id"": 13,
      ""shipment_cost"": 778
    },
    {
      ""hub_id"": ""F7"",
      ""shop_id"": 14,
      ""shipment_cost"": 433
    },
    {
      ""hub_id"": ""F7"",
      ""shop_id"": 15,
      ""shipment_cost"": 810
    },
    {
      ""hub_id"": ""F7"",
      ""shop_id"": 16,
      ""shipment_cost"": 710
    },
    {
      ""hub_id"": ""F8"",
      ""shop_id"": 1,
      ""shipment_cost"": 697
    },
    {
      ""hub_id"": ""F8"",
      ""shop_id"": 2,
      ""shipment_cost"": 643
    },
    {
      ""hub_id"": ""F8"",
      ""shop_id"": 3,
      ""shipment_cost"": 313
    },
    {
      ""hub_id"": ""F8"",
      ""shop_id"": 4,
      ""shipment_cost"": 529
    },
    {
      ""hub_id"": ""F8"",
      ""shop_id"": 5,
      ""shipment_cost"": 216
    },
    {
      ""hub_id"": ""F8"",
      ""shop_id"": 6,
      ""shipment_cost"": 352
    },
    {
      ""hub_id"": ""F8"",
      ""shop_id"": 7,
      ""shipment_cost"": 571
    },
    {
      ""hub_id"": ""F8"",
      ""shop_id"": 8,
      ""shipment_cost"": 672
    },
    {
      ""hub_id"": ""F8"",
      ""shop_id"": 9,
      ""shipment_cost"": 684
    },
    {
      ""hub_id"": ""F8"",
      ""shop_id"": 10,
      ""shipment_cost"": 258
    },
    {
      ""hub_id"": ""F8"",
      ""shop_id"": 11,
      ""shipment_cost"": 149
    },
    {
      ""hub_id"": ""F8"",
      ""shop_id"": 12,
      ""shipment_cost"": 644
    },
    {
      ""hub_id"": ""F8"",
      ""shop_id"": 13,
      ""shipment_cost"": 948
    },
    {
      ""hub_id"": ""F8"",
      ""shop_id"": 14,
      ""shipment_cost"": 819
    },
    {
      ""hub_id"": ""F8"",
      ""shop_id"": 15,
      ""shipment_cost"": 914
    },
    {
      ""hub_id"": ""F8"",
      ""shop_id"": 16,
      ""shipment_cost"": 482
    }
  ]
}

Also, when you hand back the plan, please use this little JSON layout so I can read it automatically — nothing fancy, just two lists: which micro-warehouses you flip on, and which open micro-warehouse serves each shop.

{
  ""solution"": {
    ""selected"": [<microwarehouse_to_open>, <microwarehouse_to_open>, ...],
    ""assignments"": [<chosen_open_microwarehouse>, <chosen_open_microwarehouse>, ...]
  }
}

Think of ""selected"" as the checklist of micro-warehouses you plan to switch on (their IDs), and ""assignments"" as a one-to-one list that says, in the same order as the shops in the instance, which open micro-warehouse will serve that shop. This JSON is just a sketch of the shape I need — not the actual answer.

Please make sure you use the exact identifiers from the instance input — do not rename them or invent new labels. Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'opening_costs': [6182, 6249, 4281, 1488, 4636, 2176, 7678, 8217], 'connection_costs': [[830, 162, 460, 621, 735, 52, 592, 302, 181, 349, 633, 556, 895, 697, 264, 350], [11, 934, 759, 354, 946, 283, 475, 745, 813, 249, 487, 160, 666, 739, 950, 196], [962, 108, 170, 214, 199, 770, 786, 353, 878, 113, 927, 978, 817, 708, 856, 115], [340, 984, 84, 664, 429, 90, 211, 329, 234, 930, 706, 371, 590, 668, 796, 570], [400, 302, 92, 5, 905, 554, 403, 645, 80, 292, 568, 376, 490, 600, 404, 287], [93, 658, 302, 885, 544, 475, 488, 894, 578, 529, 319, 111, 596, 170, 829, 964], [397, 264, 933, 448, 967, 349, 721, 743, 270, 942, 587, 74, 778, 433, 810, 710], [697, 643, 313, 529, 216, 352, 571, 672, 684, 258, 149, 644, 948, 819, 914, 482]], 'objective': 9484.0}","{'open_facilities': [3], 'assignments': [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]}",9484.0,"{'problem_type': 'UFLP', 'num_facilities': 8, 'num_customers': 16, 'facilities': [{'id': 'F1', 'opening_cost': 6182}, {'id': 'F2', 'opening_cost': 6249}, {'id': 'F3', 'opening_cost': 4281}, {'id': 'F4', 'opening_cost': 1488}, {'id': 'F5', 'opening_cost': 4636}, {'id': 'F6', 'opening_cost': 2176}, {'id': 'F7', 'opening_cost': 7678}, {'id': 'F8', 'opening_cost': 8217}], 'customers': [{'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}, {'id': 16}], 'connection_costs': [{'facility': 'F1', 'customer': 1, 'cost': 830}, {'facility': 'F1', 'customer': 2, 'cost': 162}, {'facility': 'F1', 'customer': 3, 'cost': 460}, {'facility': 'F1', 'customer': 4, 'cost': 621}, {'facility': 'F1', 'customer': 5, 'cost': 735}, {'facility': 'F1', 'customer': 6, 'cost': 52}, {'facility': 'F1', 'customer': 7, 'cost': 592}, {'facility': 'F1', 'customer': 8, 'cost': 302}, {'facility': 'F1', 'customer': 9, 'cost': 181}, {'facility': 'F1', 'customer': 10, 'cost': 349}, {'facility': 'F1', 'customer': 11, 'cost': 633}, {'facility': 'F1', 'customer': 12, 'cost': 556}, {'facility': 'F1', 'customer': 13, 'cost': 895}, {'facility': 'F1', 'customer': 14, 'cost': 697}, {'facility': 'F1', 'customer': 15, 'cost': 264}, {'facility': 'F1', 'customer': 16, 'cost': 350}, {'facility': 'F2', 'customer': 1, 'cost': 11}, {'facility': 'F2', 'customer': 2, 'cost': 934}, {'facility': 'F2', 'customer': 3, 'cost': 759}, {'facility': 'F2', 'customer': 4, 'cost': 354}, {'facility': 'F2', 'customer': 5, 'cost': 946}, {'facility': 'F2', 'customer': 6, 'cost': 283}, {'facility': 'F2', 'customer': 7, 'cost': 475}, {'facility': 'F2', 'customer': 8, 'cost': 745}, {'facility': 'F2', 'customer': 9, 'cost': 813}, {'facility': 'F2', 'customer': 10, 'cost': 249}, {'facility': 'F2', 'customer': 11, 'cost': 487}, {'facility': 'F2', 'customer': 12, 'cost': 160}, {'facility': 'F2', 'customer': 13, 'cost': 666}, {'facility': 'F2', 'customer': 14, 'cost': 739}, {'facility': 'F2', 'customer': 15, 'cost': 950}, {'facility': 'F2', 'customer': 16, 'cost': 196}, {'facility': 'F3', 'customer': 1, 'cost': 962}, {'facility': 'F3', 'customer': 2, 'cost': 108}, {'facility': 'F3', 'customer': 3, 'cost': 170}, {'facility': 'F3', 'customer': 4, 'cost': 214}, {'facility': 'F3', 'customer': 5, 'cost': 199}, {'facility': 'F3', 'customer': 6, 'cost': 770}, {'facility': 'F3', 'customer': 7, 'cost': 786}, {'facility': 'F3', 'customer': 8, 'cost': 353}, {'facility': 'F3', 'customer': 9, 'cost': 878}, {'facility': 'F3', 'customer': 10, 'cost': 113}, {'facility': 'F3', 'customer': 11, 'cost': 927}, {'facility': 'F3', 'customer': 12, 'cost': 978}, {'facility': 'F3', 'customer': 13, 'cost': 817}, {'facility': 'F3', 'customer': 14, 'cost': 708}, {'facility': 'F3', 'customer': 15, 'cost': 856}, {'facility': 'F3', 'customer': 16, 'cost': 115}, {'facility': 'F4', 'customer': 1, 'cost': 340}, {'facility': 'F4', 'customer': 2, 'cost': 984}, {'facility': 'F4', 'customer': 3, 'cost': 84}, {'facility': 'F4', 'customer': 4, 'cost': 664}, {'facility': 'F4', 'customer': 5, 'cost': 429}, {'facility': 'F4', 'customer': 6, 'cost': 90}, {'facility': 'F4', 'customer': 7, 'cost': 211}, {'facility': 'F4', 'customer': 8, 'cost': 329}, {'facility': 'F4', 'customer': 9, 'cost': 234}, {'facility': 'F4', 'customer': 10, 'cost': 930}, {'facility': 'F4', 'customer': 11, 'cost': 706}, {'facility': 'F4', 'customer': 12, 'cost': 371}, {'facility': 'F4', 'customer': 13, 'cost': 590}, {'facility': 'F4', 'customer': 14, 'cost': 668}, {'facility': 'F4', 'customer': 15, 'cost': 796}, {'facility': 'F4', 'customer': 16, 'cost': 570}, {'facility': 'F5', 'customer': 1, 'cost': 400}, {'facility': 'F5', 'customer': 2, 'cost': 302}, {'facility': 'F5', 'customer': 3, 'cost': 92}, {'facility': 'F5', 'customer': 4, 'cost': 5}, {'facility': 'F5', 'customer': 5, 'cost': 905}, {'facility': 'F5', 'customer': 6, 'cost': 554}, {'facility': 'F5', 'customer': 7, 'cost': 403}, {'facility': 'F5', 'customer': 8, 'cost': 645}, {'facility': 'F5', 'customer': 9, 'cost': 80}, {'facility': 'F5', 'customer': 10, 'cost': 292}, {'facility': 'F5', 'customer': 11, 'cost': 568}, {'facility': 'F5', 'customer': 12, 'cost': 376}, {'facility': 'F5', 'customer': 13, 'cost': 490}, {'facility': 'F5', 'customer': 14, 'cost': 600}, {'facility': 'F5', 'customer': 15, 'cost': 404}, {'facility': 'F5', 'customer': 16, 'cost': 287}, {'facility': 'F6', 'customer': 1, 'cost': 93}, {'facility': 'F6', 'customer': 2, 'cost': 658}, {'facility': 'F6', 'customer': 3, 'cost': 302}, {'facility': 'F6', 'customer': 4, 'cost': 885}, {'facility': 'F6', 'customer': 5, 'cost': 544}, {'facility': 'F6', 'customer': 6, 'cost': 475}, {'facility': 'F6', 'customer': 7, 'cost': 488}, {'facility': 'F6', 'customer': 8, 'cost': 894}, {'facility': 'F6', 'customer': 9, 'cost': 578}, {'facility': 'F6', 'customer': 10, 'cost': 529}, {'facility': 'F6', 'customer': 11, 'cost': 319}, {'facility': 'F6', 'customer': 12, 'cost': 111}, {'facility': 'F6', 'customer': 13, 'cost': 596}, {'facility': 'F6', 'customer': 14, 'cost': 170}, {'facility': 'F6', 'customer': 15, 'cost': 829}, {'facility': 'F6', 'customer': 16, 'cost': 964}, {'facility': 'F7', 'customer': 1, 'cost': 397}, {'facility': 'F7', 'customer': 2, 'cost': 264}, {'facility': 'F7', 'customer': 3, 'cost': 933}, {'facility': 'F7', 'customer': 4, 'cost': 448}, {'facility': 'F7', 'customer': 5, 'cost': 967}, {'facility': 'F7', 'customer': 6, 'cost': 349}, {'facility': 'F7', 'customer': 7, 'cost': 721}, {'facility': 'F7', 'customer': 8, 'cost': 743}, {'facility': 'F7', 'customer': 9, 'cost': 270}, {'facility': 'F7', 'customer': 10, 'cost': 942}, {'facility': 'F7', 'customer': 11, 'cost': 587}, {'facility': 'F7', 'customer': 12, 'cost': 74}, {'facility': 'F7', 'customer': 13, 'cost': 778}, {'facility': 'F7', 'customer': 14, 'cost': 433}, {'facility': 'F7', 'customer': 15, 'cost': 810}, {'facility': 'F7', 'customer': 16, 'cost': 710}, {'facility': 'F8', 'customer': 1, 'cost': 697}, {'facility': 'F8', 'customer': 2, 'cost': 643}, {'facility': 'F8', 'customer': 3, 'cost': 313}, {'facility': 'F8', 'customer': 4, 'cost': 529}, {'facility': 'F8', 'customer': 5, 'cost': 216}, {'facility': 'F8', 'customer': 6, 'cost': 352}, {'facility': 'F8', 'customer': 7, 'cost': 571}, {'facility': 'F8', 'customer': 8, 'cost': 672}, {'facility': 'F8', 'customer': 9, 'cost': 684}, {'facility': 'F8', 'customer': 10, 'cost': 258}, {'facility': 'F8', 'customer': 11, 'cost': 149}, {'facility': 'F8', 'customer': 12, 'cost': 644}, {'facility': 'F8', 'customer': 13, 'cost': 948}, {'facility': 'F8', 'customer': 14, 'cost': 819}, {'facility': 'F8', 'customer': 15, 'cost': 914}, {'facility': 'F8', 'customer': 16, 'cost': 482}], 'objective': 9484.0}","{'selected': ['F4'], 'assignments': ['F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4', 'F4']}",43,json,1
UFLP,UFLP,"I’m lining up which library-style book branches the district should actually open and then signing each neighborhood school up with one of those open branches. The idea is simple: every branch costs money to start, and each school has a delivery or pickup cost to be served from a particular branch, so the total bill is the sum of the branch opening fees plus all the delivery/pickup charges. The job is to pick which branches to open and make sure every school is assigned to exactly one open branch (no school left unassigned and no school registered to two branches), while keeping that total bill as small as possible. The concrete entries—branch options, opening fees, and school delivery costs—are listed below.

{
  ""num_branches"": 8,
  ""num_schools"": 20,
  ""branchs"": [
    {
      ""branch_id"": ""F1"",
      ""branch_opening_fee"": 1337
    },
    {
      ""branch_id"": ""F2"",
      ""branch_opening_fee"": 1655
    },
    {
      ""branch_id"": ""F3"",
      ""branch_opening_fee"": 1130
    },
    {
      ""branch_id"": ""F4"",
      ""branch_opening_fee"": 1081
    },
    {
      ""branch_id"": ""F5"",
      ""branch_opening_fee"": 1244
    },
    {
      ""branch_id"": ""F6"",
      ""branch_opening_fee"": 1294
    },
    {
      ""branch_id"": ""F7"",
      ""branch_opening_fee"": 1785
    },
    {
      ""branch_id"": ""F8"",
      ""branch_opening_fee"": 1391
    }
  ],
  ""schools"": [
    {
      ""school_id"": 0
    },
    {
      ""school_id"": 1
    },
    {
      ""school_id"": 2
    },
    {
      ""school_id"": 3
    },
    {
      ""school_id"": 4
    },
    {
      ""school_id"": 5
    },
    {
      ""school_id"": 6
    },
    {
      ""school_id"": 7
    },
    {
      ""school_id"": 8
    },
    {
      ""school_id"": 9
    },
    {
      ""school_id"": 10
    },
    {
      ""school_id"": 11
    },
    {
      ""school_id"": 12
    },
    {
      ""school_id"": 13
    },
    {
      ""school_id"": 14
    },
    {
      ""school_id"": 15
    },
    {
      ""school_id"": 16
    },
    {
      ""school_id"": 17
    },
    {
      ""school_id"": 18
    },
    {
      ""school_id"": 19
    }
  ],
  ""deliverys"": [
    {
      ""branch_id"": ""F1"",
      ""school_id"": 0,
      ""delivery_cost"": 900
    },
    {
      ""branch_id"": ""F1"",
      ""school_id"": 1,
      ""delivery_cost"": 966
    },
    {
      ""branch_id"": ""F1"",
      ""school_id"": 2,
      ""delivery_cost"": 748
    },
    {
      ""branch_id"": ""F1"",
      ""school_id"": 3,
      ""delivery_cost"": 343
    },
    {
      ""branch_id"": ""F1"",
      ""school_id"": 4,
      ""delivery_cost"": 432
    },
    {
      ""branch_id"": ""F1"",
      ""school_id"": 5,
      ""delivery_cost"": 447
    },
    {
      ""branch_id"": ""F1"",
      ""school_id"": 6,
      ""delivery_cost"": 225
    },
    {
      ""branch_id"": ""F1"",
      ""school_id"": 7,
      ""delivery_cost"": 152
    },
    {
      ""branch_id"": ""F1"",
      ""school_id"": 8,
      ""delivery_cost"": 976
    },
    {
      ""branch_id"": ""F1"",
      ""school_id"": 9,
      ""delivery_cost"": 366
    },
    {
      ""branch_id"": ""F1"",
      ""school_id"": 10,
      ""delivery_cost"": 381
    },
    {
      ""branch_id"": ""F1"",
      ""school_id"": 11,
      ""delivery_cost"": 11
    },
    {
      ""branch_id"": ""F1"",
      ""school_id"": 12,
      ""delivery_cost"": 884
    },
    {
      ""branch_id"": ""F1"",
      ""school_id"": 13,
      ""delivery_cost"": 206
    },
    {
      ""branch_id"": ""F1"",
      ""school_id"": 14,
      ""delivery_cost"": 424
    },
    {
      ""branch_id"": ""F1"",
      ""school_id"": 15,
      ""delivery_cost"": 448
    },
    {
      ""branch_id"": ""F1"",
      ""school_id"": 16,
      ""delivery_cost"": 623
    },
    {
      ""branch_id"": ""F1"",
      ""school_id"": 17,
      ""delivery_cost"": 550
    },
    {
      ""branch_id"": ""F1"",
      ""school_id"": 18,
      ""delivery_cost"": 7
    },
    {
      ""branch_id"": ""F1"",
      ""school_id"": 19,
      ""delivery_cost"": 830
    },
    {
      ""branch_id"": ""F2"",
      ""school_id"": 0,
      ""delivery_cost"": 514
    },
    {
      ""branch_id"": ""F2"",
      ""school_id"": 1,
      ""delivery_cost"": 878
    },
    {
      ""branch_id"": ""F2"",
      ""school_id"": 2,
      ""delivery_cost"": 893
    },
    {
      ""branch_id"": ""F2"",
      ""school_id"": 3,
      ""delivery_cost"": 274
    },
    {
      ""branch_id"": ""F2"",
      ""school_id"": 4,
      ""delivery_cost"": 525
    },
    {
      ""branch_id"": ""F2"",
      ""school_id"": 5,
      ""delivery_cost"": 570
    },
    {
      ""branch_id"": ""F2"",
      ""school_id"": 6,
      ""delivery_cost"": 78
    },
    {
      ""branch_id"": ""F2"",
      ""school_id"": 7,
      ""delivery_cost"": 564
    },
    {
      ""branch_id"": ""F2"",
      ""school_id"": 8,
      ""delivery_cost"": 394
    },
    {
      ""branch_id"": ""F2"",
      ""school_id"": 9,
      ""delivery_cost"": 721
    },
    {
      ""branch_id"": ""F2"",
      ""school_id"": 10,
      ""delivery_cost"": 748
    },
    {
      ""branch_id"": ""F2"",
      ""school_id"": 11,
      ""delivery_cost"": 271
    },
    {
      ""branch_id"": ""F2"",
      ""school_id"": 12,
      ""delivery_cost"": 235
    },
    {
      ""branch_id"": ""F2"",
      ""school_id"": 13,
      ""delivery_cost"": 303
    },
    {
      ""branch_id"": ""F2"",
      ""school_id"": 14,
      ""delivery_cost"": 732
    },
    {
      ""branch_id"": ""F2"",
      ""school_id"": 15,
      ""delivery_cost"": 421
    },
    {
      ""branch_id"": ""F2"",
      ""school_id"": 16,
      ""delivery_cost"": 697
    },
    {
      ""branch_id"": ""F2"",
      ""school_id"": 17,
      ""delivery_cost"": 823
    },
    {
      ""branch_id"": ""F2"",
      ""school_id"": 18,
      ""delivery_cost"": 449
    },
    {
      ""branch_id"": ""F2"",
      ""school_id"": 19,
      ""delivery_cost"": 297
    },
    {
      ""branch_id"": ""F3"",
      ""school_id"": 0,
      ""delivery_cost"": 764
    },
    {
      ""branch_id"": ""F3"",
      ""school_id"": 1,
      ""delivery_cost"": 21
    },
    {
      ""branch_id"": ""F3"",
      ""school_id"": 2,
      ""delivery_cost"": 99
    },
    {
      ""branch_id"": ""F3"",
      ""school_id"": 3,
      ""delivery_cost"": 478
    },
    {
      ""branch_id"": ""F3"",
      ""school_id"": 4,
      ""delivery_cost"": 442
    },
    {
      ""branch_id"": ""F3"",
      ""school_id"": 5,
      ""delivery_cost"": 158
    },
    {
      ""branch_id"": ""F3"",
      ""school_id"": 6,
      ""delivery_cost"": 778
    },
    {
      ""branch_id"": ""F3"",
      ""school_id"": 7,
      ""delivery_cost"": 823
    },
    {
      ""branch_id"": ""F3"",
      ""school_id"": 8,
      ""delivery_cost"": 496
    },
    {
      ""branch_id"": ""F3"",
      ""school_id"": 9,
      ""delivery_cost"": 786
    },
    {
      ""branch_id"": ""F3"",
      ""school_id"": 10,
      ""delivery_cost"": 194
    },
    {
      ""branch_id"": ""F3"",
      ""school_id"": 11,
      ""delivery_cost"": 170
    },
    {
      ""branch_id"": ""F3"",
      ""school_id"": 12,
      ""delivery_cost"": 113
    },
    {
      ""branch_id"": ""F3"",
      ""school_id"": 13,
      ""delivery_cost"": 45
    },
    {
      ""branch_id"": ""F3"",
      ""school_id"": 14,
      ""delivery_cost"": 251
    },
    {
      ""branch_id"": ""F3"",
      ""school_id"": 15,
      ""delivery_cost"": 91
    },
    {
      ""branch_id"": ""F3"",
      ""school_id"": 16,
      ""delivery_cost"": 394
    },
    {
      ""branch_id"": ""F3"",
      ""school_id"": 17,
      ""delivery_cost"": 269
    },
    {
      ""branch_id"": ""F3"",
      ""school_id"": 18,
      ""delivery_cost"": 941
    },
    {
      ""branch_id"": ""F3"",
      ""school_id"": 19,
      ""delivery_cost"": 669
    },
    {
      ""branch_id"": ""F4"",
      ""school_id"": 0,
      ""delivery_cost"": 706
    },
    {
      ""branch_id"": ""F4"",
      ""school_id"": 1,
      ""delivery_cost"": 226
    },
    {
      ""branch_id"": ""F4"",
      ""school_id"": 2,
      ""delivery_cost"": 670
    },
    {
      ""branch_id"": ""F4"",
      ""school_id"": 3,
      ""delivery_cost"": 292
    },
    {
      ""branch_id"": ""F4"",
      ""school_id"": 4,
      ""delivery_cost"": 876
    },
    {
      ""branch_id"": ""F4"",
      ""school_id"": 5,
      ""delivery_cost"": 552
    },
    {
      ""branch_id"": ""F4"",
      ""school_id"": 6,
      ""delivery_cost"": 260
    },
    {
      ""branch_id"": ""F4"",
      ""school_id"": 7,
      ""delivery_cost"": 238
    },
    {
      ""branch_id"": ""F4"",
      ""school_id"": 8,
      ""delivery_cost"": 108
    },
    {
      ""branch_id"": ""F4"",
      ""school_id"": 9,
      ""delivery_cost"": 69
    },
    {
      ""branch_id"": ""F4"",
      ""school_id"": 10,
      ""delivery_cost"": 488
    },
    {
      ""branch_id"": ""F4"",
      ""school_id"": 11,
      ""delivery_cost"": 254
    },
    {
      ""branch_id"": ""F4"",
      ""school_id"": 12,
      ""delivery_cost"": 81
    },
    {
      ""branch_id"": ""F4"",
      ""school_id"": 13,
      ""delivery_cost"": 781
    },
    {
      ""branch_id"": ""F4"",
      ""school_id"": 14,
      ""delivery_cost"": 200
    },
    {
      ""branch_id"": ""F4"",
      ""school_id"": 15,
      ""delivery_cost"": 576
    },
    {
      ""branch_id"": ""F4"",
      ""school_id"": 16,
      ""delivery_cost"": 620
    },
    {
      ""branch_id"": ""F4"",
      ""school_id"": 17,
      ""delivery_cost"": 673
    },
    {
      ""branch_id"": ""F4"",
      ""school_id"": 18,
      ""delivery_cost"": 152
    },
    {
      ""branch_id"": ""F4"",
      ""school_id"": 19,
      ""delivery_cost"": 907
    },
    {
      ""branch_id"": ""F5"",
      ""school_id"": 0,
      ""delivery_cost"": 303
    },
    {
      ""branch_id"": ""F5"",
      ""school_id"": 1,
      ""delivery_cost"": 134
    },
    {
      ""branch_id"": ""F5"",
      ""school_id"": 2,
      ""delivery_cost"": 57
    },
    {
      ""branch_id"": ""F5"",
      ""school_id"": 3,
      ""delivery_cost"": 162
    },
    {
      ""branch_id"": ""F5"",
      ""school_id"": 4,
      ""delivery_cost"": 571
    },
    {
      ""branch_id"": ""F5"",
      ""school_id"": 5,
      ""delivery_cost"": 688
    },
    {
      ""branch_id"": ""F5"",
      ""school_id"": 6,
      ""delivery_cost"": 680
    },
    {
      ""branch_id"": ""F5"",
      ""school_id"": 7,
      ""delivery_cost"": 876
    },
    {
      ""branch_id"": ""F5"",
      ""school_id"": 8,
      ""delivery_cost"": 943
    },
    {
      ""branch_id"": ""F5"",
      ""school_id"": 9,
      ""delivery_cost"": 540
    },
    {
      ""branch_id"": ""F5"",
      ""school_id"": 10,
      ""delivery_cost"": 201
    },
    {
      ""branch_id"": ""F5"",
      ""school_id"": 11,
      ""delivery_cost"": 220
    },
    {
      ""branch_id"": ""F5"",
      ""school_id"": 12,
      ""delivery_cost"": 412
    },
    {
      ""branch_id"": ""F5"",
      ""school_id"": 13,
      ""delivery_cost"": 951
    },
    {
      ""branch_id"": ""F5"",
      ""school_id"": 14,
      ""delivery_cost"": 40
    },
    {
      ""branch_id"": ""F5"",
      ""school_id"": 15,
      ""delivery_cost"": 607
    },
    {
      ""branch_id"": ""F5"",
      ""school_id"": 16,
      ""delivery_cost"": 251
    },
    {
      ""branch_id"": ""F5"",
      ""school_id"": 17,
      ""delivery_cost"": 810
    },
    {
      ""branch_id"": ""F5"",
      ""school_id"": 18,
      ""delivery_cost"": 805
    },
    {
      ""branch_id"": ""F5"",
      ""school_id"": 19,
      ""delivery_cost"": 616
    },
    {
      ""branch_id"": ""F6"",
      ""school_id"": 0,
      ""delivery_cost"": 319
    },
    {
      ""branch_id"": ""F6"",
      ""school_id"": 1,
      ""delivery_cost"": 541
    },
    {
      ""branch_id"": ""F6"",
      ""school_id"": 2,
      ""delivery_cost"": 967
    },
    {
      ""branch_id"": ""F6"",
      ""school_id"": 3,
      ""delivery_cost"": 692
    },
    {
      ""branch_id"": ""F6"",
      ""school_id"": 4,
      ""delivery_cost"": 109
    },
    {
      ""branch_id"": ""F6"",
      ""school_id"": 5,
      ""delivery_cost"": 478
    },
    {
      ""branch_id"": ""F6"",
      ""school_id"": 6,
      ""delivery_cost"": 692
    },
    {
      ""branch_id"": ""F6"",
      ""school_id"": 7,
      ""delivery_cost"": 156
    },
    {
      ""branch_id"": ""F6"",
      ""school_id"": 8,
      ""delivery_cost"": 778
    },
    {
      ""branch_id"": ""F6"",
      ""school_id"": 9,
      ""delivery_cost"": 349
    },
    {
      ""branch_id"": ""F6"",
      ""school_id"": 10,
      ""delivery_cost"": 576
    },
    {
      ""branch_id"": ""F6"",
      ""school_id"": 11,
      ""delivery_cost"": 318
    },
    {
      ""branch_id"": ""F6"",
      ""school_id"": 12,
      ""delivery_cost"": 982
    },
    {
      ""branch_id"": ""F6"",
      ""school_id"": 13,
      ""delivery_cost"": 222
    },
    {
      ""branch_id"": ""F6"",
      ""school_id"": 14,
      ""delivery_cost"": 828
    },
    {
      ""branch_id"": ""F6"",
      ""school_id"": 15,
      ""delivery_cost"": 447
    },
    {
      ""branch_id"": ""F6"",
      ""school_id"": 16,
      ""delivery_cost"": 503
    },
    {
      ""branch_id"": ""F6"",
      ""school_id"": 17,
      ""delivery_cost"": 213
    },
    {
      ""branch_id"": ""F6"",
      ""school_id"": 18,
      ""delivery_cost"": 291
    },
    {
      ""branch_id"": ""F6"",
      ""school_id"": 19,
      ""delivery_cost"": 4
    },
    {
      ""branch_id"": ""F7"",
      ""school_id"": 0,
      ""delivery_cost"": 454
    },
    {
      ""branch_id"": ""F7"",
      ""school_id"": 1,
      ""delivery_cost"": 313
    },
    {
      ""branch_id"": ""F7"",
      ""school_id"": 2,
      ""delivery_cost"": 40
    },
    {
      ""branch_id"": ""F7"",
      ""school_id"": 3,
      ""delivery_cost"": 574
    },
    {
      ""branch_id"": ""F7"",
      ""school_id"": 4,
      ""delivery_cost"": 866
    },
    {
      ""branch_id"": ""F7"",
      ""school_id"": 5,
      ""delivery_cost"": 235
    },
    {
      ""branch_id"": ""F7"",
      ""school_id"": 6,
      ""delivery_cost"": 428
    },
    {
      ""branch_id"": ""F7"",
      ""school_id"": 7,
      ""delivery_cost"": 733
    },
    {
      ""branch_id"": ""F7"",
      ""school_id"": 8,
      ""delivery_cost"": 194
    },
    {
      ""branch_id"": ""F7"",
      ""school_id"": 9,
      ""delivery_cost"": 739
    },
    {
      ""branch_id"": ""F7"",
      ""school_id"": 10,
      ""delivery_cost"": 486
    },
    {
      ""branch_id"": ""F7"",
      ""school_id"": 11,
      ""delivery_cost"": 318
    },
    {
      ""branch_id"": ""F7"",
      ""school_id"": 12,
      ""delivery_cost"": 280
    },
    {
      ""branch_id"": ""F7"",
      ""school_id"": 13,
      ""delivery_cost"": 432
    },
    {
      ""branch_id"": ""F7"",
      ""school_id"": 14,
      ""delivery_cost"": 842
    },
    {
      ""branch_id"": ""F7"",
      ""school_id"": 15,
      ""delivery_cost"": 650
    },
    {
      ""branch_id"": ""F7"",
      ""school_id"": 16,
      ""delivery_cost"": 30
    },
    {
      ""branch_id"": ""F7"",
      ""school_id"": 17,
      ""delivery_cost"": 608
    },
    {
      ""branch_id"": ""F7"",
      ""school_id"": 18,
      ""delivery_cost"": 9
    },
    {
      ""branch_id"": ""F7"",
      ""school_id"": 19,
      ""delivery_cost"": 926
    },
    {
      ""branch_id"": ""F8"",
      ""school_id"": 0,
      ""delivery_cost"": 285
    },
    {
      ""branch_id"": ""F8"",
      ""school_id"": 1,
      ""delivery_cost"": 516
    },
    {
      ""branch_id"": ""F8"",
      ""school_id"": 2,
      ""delivery_cost"": 340
    },
    {
      ""branch_id"": ""F8"",
      ""school_id"": 3,
      ""delivery_cost"": 285
    },
    {
      ""branch_id"": ""F8"",
      ""school_id"": 4,
      ""delivery_cost"": 119
    },
    {
      ""branch_id"": ""F8"",
      ""school_id"": 5,
      ""delivery_cost"": 539
    },
    {
      ""branch_id"": ""F8"",
      ""school_id"": 6,
      ""delivery_cost"": 999
    },
    {
      ""branch_id"": ""F8"",
      ""school_id"": 7,
      ""delivery_cost"": 198
    },
    {
      ""branch_id"": ""F8"",
      ""school_id"": 8,
      ""delivery_cost"": 678
    },
    {
      ""branch_id"": ""F8"",
      ""school_id"": 9,
      ""delivery_cost"": 77
    },
    {
      ""branch_id"": ""F8"",
      ""school_id"": 10,
      ""delivery_cost"": 357
    },
    {
      ""branch_id"": ""F8"",
      ""school_id"": 11,
      ""delivery_cost"": 196
    },
    {
      ""branch_id"": ""F8"",
      ""school_id"": 12,
      ""delivery_cost"": 700
    },
    {
      ""branch_id"": ""F8"",
      ""school_id"": 13,
      ""delivery_cost"": 230
    },
    {
      ""branch_id"": ""F8"",
      ""school_id"": 14,
      ""delivery_cost"": 811
    },
    {
      ""branch_id"": ""F8"",
      ""school_id"": 15,
      ""delivery_cost"": 843
    },
    {
      ""branch_id"": ""F8"",
      ""school_id"": 16,
      ""delivery_cost"": 164
    },
    {
      ""branch_id"": ""F8"",
      ""school_id"": 17,
      ""delivery_cost"": 811
    },
    {
      ""branch_id"": ""F8"",
      ""school_id"": 18,
      ""delivery_cost"": 751
    },
    {
      ""branch_id"": ""F8"",
      ""school_id"": 19,
      ""delivery_cost"": 209
    }
  ]
}

Also, when you send the solution back, just stick to this little JSON shape so it’s easy to read and parse:

{
  ""solution"": {
    ""selected"": [<branch_to_open>, <branch_to_open>, ...],
    ""assignments"": [<chosen_open_branch>, <chosen_open_branch>, ...]
  }
}

This is just a sketch of the shape I’m expecting — nothing filled in yet. ""selected"" is the list of branches the district will open, and ""assignments"" is a list (in the same order as the schools were given in the instance) saying which opened branch each school signs up with.

Please note: all identifiers in your actual answer must match the instance input exactly — don’t rename them and don’t invent new labels. For example: Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'opening_costs': [1337, 1655, 1130, 1081, 1244, 1294, 1785, 1391], 'connection_costs': [[900, 966, 748, 343, 432, 447, 225, 152, 976, 366, 381, 11, 884, 206, 424, 448, 623, 550, 7, 830], [514, 878, 893, 274, 525, 570, 78, 564, 394, 721, 748, 271, 235, 303, 732, 421, 697, 823, 449, 297], [764, 21, 99, 478, 442, 158, 778, 823, 496, 786, 194, 170, 113, 45, 251, 91, 394, 269, 941, 669], [706, 226, 670, 292, 876, 552, 260, 238, 108, 69, 488, 254, 81, 781, 200, 576, 620, 673, 152, 907], [303, 134, 57, 162, 571, 688, 680, 876, 943, 540, 201, 220, 412, 951, 40, 607, 251, 810, 805, 616], [319, 541, 967, 692, 109, 478, 692, 156, 778, 349, 576, 318, 982, 222, 828, 447, 503, 213, 291, 4], [454, 313, 40, 574, 866, 235, 428, 733, 194, 739, 486, 318, 280, 432, 842, 650, 30, 608, 9, 926], [285, 516, 340, 285, 119, 539, 999, 198, 678, 77, 357, 196, 700, 230, 811, 843, 164, 811, 751, 209]], 'objective': 6640.0}","{'open_facilities': [2, 3, 5], 'assignments': [5, 2, 2, 3, 5, 2, 3, 5, 3, 3, 2, 2, 3, 2, 3, 2, 2, 5, 3, 5]}",6640.0,"{'problem_type': 'UFLP', 'num_facilities': 8, 'num_customers': 20, 'facilities': [{'id': 'F1', 'opening_cost': 1337}, {'id': 'F2', 'opening_cost': 1655}, {'id': 'F3', 'opening_cost': 1130}, {'id': 'F4', 'opening_cost': 1081}, {'id': 'F5', 'opening_cost': 1244}, {'id': 'F6', 'opening_cost': 1294}, {'id': 'F7', 'opening_cost': 1785}, {'id': 'F8', 'opening_cost': 1391}], 'customers': [{'id': 0}, {'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}, {'id': 16}, {'id': 17}, {'id': 18}, {'id': 19}], 'connection_costs': [{'facility': 'F1', 'customer': 0, 'cost': 900}, {'facility': 'F1', 'customer': 1, 'cost': 966}, {'facility': 'F1', 'customer': 2, 'cost': 748}, {'facility': 'F1', 'customer': 3, 'cost': 343}, {'facility': 'F1', 'customer': 4, 'cost': 432}, {'facility': 'F1', 'customer': 5, 'cost': 447}, {'facility': 'F1', 'customer': 6, 'cost': 225}, {'facility': 'F1', 'customer': 7, 'cost': 152}, {'facility': 'F1', 'customer': 8, 'cost': 976}, {'facility': 'F1', 'customer': 9, 'cost': 366}, {'facility': 'F1', 'customer': 10, 'cost': 381}, {'facility': 'F1', 'customer': 11, 'cost': 11}, {'facility': 'F1', 'customer': 12, 'cost': 884}, {'facility': 'F1', 'customer': 13, 'cost': 206}, {'facility': 'F1', 'customer': 14, 'cost': 424}, {'facility': 'F1', 'customer': 15, 'cost': 448}, {'facility': 'F1', 'customer': 16, 'cost': 623}, {'facility': 'F1', 'customer': 17, 'cost': 550}, {'facility': 'F1', 'customer': 18, 'cost': 7}, {'facility': 'F1', 'customer': 19, 'cost': 830}, {'facility': 'F2', 'customer': 0, 'cost': 514}, {'facility': 'F2', 'customer': 1, 'cost': 878}, {'facility': 'F2', 'customer': 2, 'cost': 893}, {'facility': 'F2', 'customer': 3, 'cost': 274}, {'facility': 'F2', 'customer': 4, 'cost': 525}, {'facility': 'F2', 'customer': 5, 'cost': 570}, {'facility': 'F2', 'customer': 6, 'cost': 78}, {'facility': 'F2', 'customer': 7, 'cost': 564}, {'facility': 'F2', 'customer': 8, 'cost': 394}, {'facility': 'F2', 'customer': 9, 'cost': 721}, {'facility': 'F2', 'customer': 10, 'cost': 748}, {'facility': 'F2', 'customer': 11, 'cost': 271}, {'facility': 'F2', 'customer': 12, 'cost': 235}, {'facility': 'F2', 'customer': 13, 'cost': 303}, {'facility': 'F2', 'customer': 14, 'cost': 732}, {'facility': 'F2', 'customer': 15, 'cost': 421}, {'facility': 'F2', 'customer': 16, 'cost': 697}, {'facility': 'F2', 'customer': 17, 'cost': 823}, {'facility': 'F2', 'customer': 18, 'cost': 449}, {'facility': 'F2', 'customer': 19, 'cost': 297}, {'facility': 'F3', 'customer': 0, 'cost': 764}, {'facility': 'F3', 'customer': 1, 'cost': 21}, {'facility': 'F3', 'customer': 2, 'cost': 99}, {'facility': 'F3', 'customer': 3, 'cost': 478}, {'facility': 'F3', 'customer': 4, 'cost': 442}, {'facility': 'F3', 'customer': 5, 'cost': 158}, {'facility': 'F3', 'customer': 6, 'cost': 778}, {'facility': 'F3', 'customer': 7, 'cost': 823}, {'facility': 'F3', 'customer': 8, 'cost': 496}, {'facility': 'F3', 'customer': 9, 'cost': 786}, {'facility': 'F3', 'customer': 10, 'cost': 194}, {'facility': 'F3', 'customer': 11, 'cost': 170}, {'facility': 'F3', 'customer': 12, 'cost': 113}, {'facility': 'F3', 'customer': 13, 'cost': 45}, {'facility': 'F3', 'customer': 14, 'cost': 251}, {'facility': 'F3', 'customer': 15, 'cost': 91}, {'facility': 'F3', 'customer': 16, 'cost': 394}, {'facility': 'F3', 'customer': 17, 'cost': 269}, {'facility': 'F3', 'customer': 18, 'cost': 941}, {'facility': 'F3', 'customer': 19, 'cost': 669}, {'facility': 'F4', 'customer': 0, 'cost': 706}, {'facility': 'F4', 'customer': 1, 'cost': 226}, {'facility': 'F4', 'customer': 2, 'cost': 670}, {'facility': 'F4', 'customer': 3, 'cost': 292}, {'facility': 'F4', 'customer': 4, 'cost': 876}, {'facility': 'F4', 'customer': 5, 'cost': 552}, {'facility': 'F4', 'customer': 6, 'cost': 260}, {'facility': 'F4', 'customer': 7, 'cost': 238}, {'facility': 'F4', 'customer': 8, 'cost': 108}, {'facility': 'F4', 'customer': 9, 'cost': 69}, {'facility': 'F4', 'customer': 10, 'cost': 488}, {'facility': 'F4', 'customer': 11, 'cost': 254}, {'facility': 'F4', 'customer': 12, 'cost': 81}, {'facility': 'F4', 'customer': 13, 'cost': 781}, {'facility': 'F4', 'customer': 14, 'cost': 200}, {'facility': 'F4', 'customer': 15, 'cost': 576}, {'facility': 'F4', 'customer': 16, 'cost': 620}, {'facility': 'F4', 'customer': 17, 'cost': 673}, {'facility': 'F4', 'customer': 18, 'cost': 152}, {'facility': 'F4', 'customer': 19, 'cost': 907}, {'facility': 'F5', 'customer': 0, 'cost': 303}, {'facility': 'F5', 'customer': 1, 'cost': 134}, {'facility': 'F5', 'customer': 2, 'cost': 57}, {'facility': 'F5', 'customer': 3, 'cost': 162}, {'facility': 'F5', 'customer': 4, 'cost': 571}, {'facility': 'F5', 'customer': 5, 'cost': 688}, {'facility': 'F5', 'customer': 6, 'cost': 680}, {'facility': 'F5', 'customer': 7, 'cost': 876}, {'facility': 'F5', 'customer': 8, 'cost': 943}, {'facility': 'F5', 'customer': 9, 'cost': 540}, {'facility': 'F5', 'customer': 10, 'cost': 201}, {'facility': 'F5', 'customer': 11, 'cost': 220}, {'facility': 'F5', 'customer': 12, 'cost': 412}, {'facility': 'F5', 'customer': 13, 'cost': 951}, {'facility': 'F5', 'customer': 14, 'cost': 40}, {'facility': 'F5', 'customer': 15, 'cost': 607}, {'facility': 'F5', 'customer': 16, 'cost': 251}, {'facility': 'F5', 'customer': 17, 'cost': 810}, {'facility': 'F5', 'customer': 18, 'cost': 805}, {'facility': 'F5', 'customer': 19, 'cost': 616}, {'facility': 'F6', 'customer': 0, 'cost': 319}, {'facility': 'F6', 'customer': 1, 'cost': 541}, {'facility': 'F6', 'customer': 2, 'cost': 967}, {'facility': 'F6', 'customer': 3, 'cost': 692}, {'facility': 'F6', 'customer': 4, 'cost': 109}, {'facility': 'F6', 'customer': 5, 'cost': 478}, {'facility': 'F6', 'customer': 6, 'cost': 692}, {'facility': 'F6', 'customer': 7, 'cost': 156}, {'facility': 'F6', 'customer': 8, 'cost': 778}, {'facility': 'F6', 'customer': 9, 'cost': 349}, {'facility': 'F6', 'customer': 10, 'cost': 576}, {'facility': 'F6', 'customer': 11, 'cost': 318}, {'facility': 'F6', 'customer': 12, 'cost': 982}, {'facility': 'F6', 'customer': 13, 'cost': 222}, {'facility': 'F6', 'customer': 14, 'cost': 828}, {'facility': 'F6', 'customer': 15, 'cost': 447}, {'facility': 'F6', 'customer': 16, 'cost': 503}, {'facility': 'F6', 'customer': 17, 'cost': 213}, {'facility': 'F6', 'customer': 18, 'cost': 291}, {'facility': 'F6', 'customer': 19, 'cost': 4}, {'facility': 'F7', 'customer': 0, 'cost': 454}, {'facility': 'F7', 'customer': 1, 'cost': 313}, {'facility': 'F7', 'customer': 2, 'cost': 40}, {'facility': 'F7', 'customer': 3, 'cost': 574}, {'facility': 'F7', 'customer': 4, 'cost': 866}, {'facility': 'F7', 'customer': 5, 'cost': 235}, {'facility': 'F7', 'customer': 6, 'cost': 428}, {'facility': 'F7', 'customer': 7, 'cost': 733}, {'facility': 'F7', 'customer': 8, 'cost': 194}, {'facility': 'F7', 'customer': 9, 'cost': 739}, {'facility': 'F7', 'customer': 10, 'cost': 486}, {'facility': 'F7', 'customer': 11, 'cost': 318}, {'facility': 'F7', 'customer': 12, 'cost': 280}, {'facility': 'F7', 'customer': 13, 'cost': 432}, {'facility': 'F7', 'customer': 14, 'cost': 842}, {'facility': 'F7', 'customer': 15, 'cost': 650}, {'facility': 'F7', 'customer': 16, 'cost': 30}, {'facility': 'F7', 'customer': 17, 'cost': 608}, {'facility': 'F7', 'customer': 18, 'cost': 9}, {'facility': 'F7', 'customer': 19, 'cost': 926}, {'facility': 'F8', 'customer': 0, 'cost': 285}, {'facility': 'F8', 'customer': 1, 'cost': 516}, {'facility': 'F8', 'customer': 2, 'cost': 340}, {'facility': 'F8', 'customer': 3, 'cost': 285}, {'facility': 'F8', 'customer': 4, 'cost': 119}, {'facility': 'F8', 'customer': 5, 'cost': 539}, {'facility': 'F8', 'customer': 6, 'cost': 999}, {'facility': 'F8', 'customer': 7, 'cost': 198}, {'facility': 'F8', 'customer': 8, 'cost': 678}, {'facility': 'F8', 'customer': 9, 'cost': 77}, {'facility': 'F8', 'customer': 10, 'cost': 357}, {'facility': 'F8', 'customer': 11, 'cost': 196}, {'facility': 'F8', 'customer': 12, 'cost': 700}, {'facility': 'F8', 'customer': 13, 'cost': 230}, {'facility': 'F8', 'customer': 14, 'cost': 811}, {'facility': 'F8', 'customer': 15, 'cost': 843}, {'facility': 'F8', 'customer': 16, 'cost': 164}, {'facility': 'F8', 'customer': 17, 'cost': 811}, {'facility': 'F8', 'customer': 18, 'cost': 751}, {'facility': 'F8', 'customer': 19, 'cost': 209}], 'objective': 6640.0}","{'selected': ['F3', 'F4', 'F6'], 'assignments': ['F6', 'F3', 'F3', 'F4', 'F6', 'F3', 'F4', 'F6', 'F4', 'F4', 'F3', 'F3', 'F4', 'F3', 'F4', 'F3', 'F3', 'F6', 'F4', 'F6']}",44,json,0
UFLP,UFLP,"Recently the food bank had to tighten the budget, so the director needed to decide which distribution points to keep open. Each candidate point has a running fee, and getting food to a community group from a point costs volunteer time or transport money. The task is to pick the set of points to operate and assign each group to exactly one of those points so that the total expense — the sum of the operating fees plus every group’s delivery cost — is as small as possible; every group must be assigned once and sites can serve any number of groups. The detailed list of sites, their operating costs, and group-by-group delivery costs is shown below.

# num_distribution_points=7
# num_community_groups=16
# DISTRIBUTION_POINTS
distribution_point_id,running_fee
F1,4366
F2,9724
F3,3182
F4,6951
F5,9157
F6,7499
F7,3200
# COMMUNITY_GROUPS
community_group_id
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
# DELIVERYS
distribution_point_id,community_group_id,delivery_cost
F1,1,728
F1,2,72
F1,3,244
F1,4,683
F1,5,226
F1,6,131
F1,7,651
F1,8,340
F1,9,919
F1,10,727
F1,11,127
F1,12,678
F1,13,34
F1,14,191
F1,15,167
F1,16,735
F2,1,894
F2,2,182
F2,3,786
F2,4,693
F2,5,447
F2,6,592
F2,7,112
F2,8,802
F2,9,732
F2,10,156
F2,11,453
F2,12,395
F2,13,803
F2,14,671
F2,15,301
F2,16,862
F3,1,661
F3,2,789
F3,3,998
F3,4,227
F3,5,750
F3,6,589
F3,7,115
F3,8,135
F3,9,809
F3,10,16
F3,11,319
F3,12,304
F3,13,789
F3,14,482
F3,15,196
F3,16,479
F4,1,932
F4,2,598
F4,3,80
F4,4,67
F4,5,923
F4,6,723
F4,7,870
F4,8,656
F4,9,386
F4,10,863
F4,11,480
F4,12,639
F4,13,244
F4,14,249
F4,15,790
F4,16,188
F5,1,517
F5,2,391
F5,3,999
F5,4,598
F5,5,321
F5,6,574
F5,7,330
F5,8,498
F5,9,135
F5,10,628
F5,11,770
F5,12,828
F5,13,726
F5,14,364
F5,15,352
F5,16,479
F6,1,249
F6,2,826
F6,3,348
F6,4,761
F6,5,100
F6,6,293
F6,7,960
F6,8,27
F6,9,656
F6,10,190
F6,11,526
F6,12,29
F6,13,741
F6,14,38
F6,15,874
F6,16,450
F7,1,437
F7,2,580
F7,3,900
F7,4,778
F7,5,502
F7,6,945
F7,7,806
F7,8,925
F7,9,616
F7,10,611
F7,11,956
F7,12,538
F7,13,363
F7,14,538
F7,15,243
F7,16,797

Oh, and when you send the decision back, please follow this little JSON layout so it's easy to read and process. For our story it might look like this:

{
  ""solution"": {
    ""selected"": [<site_to_open>, <site_to_open>, ...],
    ""assignments"": [<site_assigned>, <site_assigned>, ...]
  }
}

""selected"" is where you list the site IDs you'll keep operating (those are the sites we pay the running fee for). ""assignments"" gives, in the same order as the community groups appear in the instance, which open site each group is assigned to. Think of it as a simple form — a list of open sites and then a list that points each group to one of those sites.

This JSON is just the sketch of the shape I expect, not the actual solution.

Please make sure to use the exact identifiers from the instance input — do not rename them or create new labels.
- for example: ""Valid identifiers look like plain numbers such as ""1"" or ""23"", single capital letters like ""A"" or ""B"", or a capital letter followed by digits like ""A1"" or ""X7"".""","{'opening_costs': [4366, 9724, 3182, 6951, 9157, 7499, 3200], 'connection_costs': [[728, 72, 244, 683, 226, 131, 651, 340, 919, 727, 127, 678, 34, 191, 167, 735], [894, 182, 786, 693, 447, 592, 112, 802, 732, 156, 453, 395, 803, 671, 301, 862], [661, 789, 998, 227, 750, 589, 115, 135, 809, 16, 319, 304, 789, 482, 196, 479], [932, 598, 80, 67, 923, 723, 870, 656, 386, 863, 480, 639, 244, 249, 790, 188], [517, 391, 999, 598, 321, 574, 330, 498, 135, 628, 770, 828, 726, 364, 352, 479], [249, 826, 348, 761, 100, 293, 960, 27, 656, 190, 526, 29, 741, 38, 874, 450], [437, 580, 900, 778, 502, 945, 806, 925, 616, 611, 956, 538, 363, 538, 243, 797]], 'objective': 10840.0}","{'open_facilities': [2], 'assignments': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]}",10840.0,"{'problem_type': 'UFLP', 'num_facilities': 7, 'num_customers': 16, 'facilities': [{'id': 'F1', 'opening_cost': 4366}, {'id': 'F2', 'opening_cost': 9724}, {'id': 'F3', 'opening_cost': 3182}, {'id': 'F4', 'opening_cost': 6951}, {'id': 'F5', 'opening_cost': 9157}, {'id': 'F6', 'opening_cost': 7499}, {'id': 'F7', 'opening_cost': 3200}], 'customers': [{'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}, {'id': 16}], 'connection_costs': [{'facility': 'F1', 'customer': 1, 'cost': 728}, {'facility': 'F1', 'customer': 2, 'cost': 72}, {'facility': 'F1', 'customer': 3, 'cost': 244}, {'facility': 'F1', 'customer': 4, 'cost': 683}, {'facility': 'F1', 'customer': 5, 'cost': 226}, {'facility': 'F1', 'customer': 6, 'cost': 131}, {'facility': 'F1', 'customer': 7, 'cost': 651}, {'facility': 'F1', 'customer': 8, 'cost': 340}, {'facility': 'F1', 'customer': 9, 'cost': 919}, {'facility': 'F1', 'customer': 10, 'cost': 727}, {'facility': 'F1', 'customer': 11, 'cost': 127}, {'facility': 'F1', 'customer': 12, 'cost': 678}, {'facility': 'F1', 'customer': 13, 'cost': 34}, {'facility': 'F1', 'customer': 14, 'cost': 191}, {'facility': 'F1', 'customer': 15, 'cost': 167}, {'facility': 'F1', 'customer': 16, 'cost': 735}, {'facility': 'F2', 'customer': 1, 'cost': 894}, {'facility': 'F2', 'customer': 2, 'cost': 182}, {'facility': 'F2', 'customer': 3, 'cost': 786}, {'facility': 'F2', 'customer': 4, 'cost': 693}, {'facility': 'F2', 'customer': 5, 'cost': 447}, {'facility': 'F2', 'customer': 6, 'cost': 592}, {'facility': 'F2', 'customer': 7, 'cost': 112}, {'facility': 'F2', 'customer': 8, 'cost': 802}, {'facility': 'F2', 'customer': 9, 'cost': 732}, {'facility': 'F2', 'customer': 10, 'cost': 156}, {'facility': 'F2', 'customer': 11, 'cost': 453}, {'facility': 'F2', 'customer': 12, 'cost': 395}, {'facility': 'F2', 'customer': 13, 'cost': 803}, {'facility': 'F2', 'customer': 14, 'cost': 671}, {'facility': 'F2', 'customer': 15, 'cost': 301}, {'facility': 'F2', 'customer': 16, 'cost': 862}, {'facility': 'F3', 'customer': 1, 'cost': 661}, {'facility': 'F3', 'customer': 2, 'cost': 789}, {'facility': 'F3', 'customer': 3, 'cost': 998}, {'facility': 'F3', 'customer': 4, 'cost': 227}, {'facility': 'F3', 'customer': 5, 'cost': 750}, {'facility': 'F3', 'customer': 6, 'cost': 589}, {'facility': 'F3', 'customer': 7, 'cost': 115}, {'facility': 'F3', 'customer': 8, 'cost': 135}, {'facility': 'F3', 'customer': 9, 'cost': 809}, {'facility': 'F3', 'customer': 10, 'cost': 16}, {'facility': 'F3', 'customer': 11, 'cost': 319}, {'facility': 'F3', 'customer': 12, 'cost': 304}, {'facility': 'F3', 'customer': 13, 'cost': 789}, {'facility': 'F3', 'customer': 14, 'cost': 482}, {'facility': 'F3', 'customer': 15, 'cost': 196}, {'facility': 'F3', 'customer': 16, 'cost': 479}, {'facility': 'F4', 'customer': 1, 'cost': 932}, {'facility': 'F4', 'customer': 2, 'cost': 598}, {'facility': 'F4', 'customer': 3, 'cost': 80}, {'facility': 'F4', 'customer': 4, 'cost': 67}, {'facility': 'F4', 'customer': 5, 'cost': 923}, {'facility': 'F4', 'customer': 6, 'cost': 723}, {'facility': 'F4', 'customer': 7, 'cost': 870}, {'facility': 'F4', 'customer': 8, 'cost': 656}, {'facility': 'F4', 'customer': 9, 'cost': 386}, {'facility': 'F4', 'customer': 10, 'cost': 863}, {'facility': 'F4', 'customer': 11, 'cost': 480}, {'facility': 'F4', 'customer': 12, 'cost': 639}, {'facility': 'F4', 'customer': 13, 'cost': 244}, {'facility': 'F4', 'customer': 14, 'cost': 249}, {'facility': 'F4', 'customer': 15, 'cost': 790}, {'facility': 'F4', 'customer': 16, 'cost': 188}, {'facility': 'F5', 'customer': 1, 'cost': 517}, {'facility': 'F5', 'customer': 2, 'cost': 391}, {'facility': 'F5', 'customer': 3, 'cost': 999}, {'facility': 'F5', 'customer': 4, 'cost': 598}, {'facility': 'F5', 'customer': 5, 'cost': 321}, {'facility': 'F5', 'customer': 6, 'cost': 574}, {'facility': 'F5', 'customer': 7, 'cost': 330}, {'facility': 'F5', 'customer': 8, 'cost': 498}, {'facility': 'F5', 'customer': 9, 'cost': 135}, {'facility': 'F5', 'customer': 10, 'cost': 628}, {'facility': 'F5', 'customer': 11, 'cost': 770}, {'facility': 'F5', 'customer': 12, 'cost': 828}, {'facility': 'F5', 'customer': 13, 'cost': 726}, {'facility': 'F5', 'customer': 14, 'cost': 364}, {'facility': 'F5', 'customer': 15, 'cost': 352}, {'facility': 'F5', 'customer': 16, 'cost': 479}, {'facility': 'F6', 'customer': 1, 'cost': 249}, {'facility': 'F6', 'customer': 2, 'cost': 826}, {'facility': 'F6', 'customer': 3, 'cost': 348}, {'facility': 'F6', 'customer': 4, 'cost': 761}, {'facility': 'F6', 'customer': 5, 'cost': 100}, {'facility': 'F6', 'customer': 6, 'cost': 293}, {'facility': 'F6', 'customer': 7, 'cost': 960}, {'facility': 'F6', 'customer': 8, 'cost': 27}, {'facility': 'F6', 'customer': 9, 'cost': 656}, {'facility': 'F6', 'customer': 10, 'cost': 190}, {'facility': 'F6', 'customer': 11, 'cost': 526}, {'facility': 'F6', 'customer': 12, 'cost': 29}, {'facility': 'F6', 'customer': 13, 'cost': 741}, {'facility': 'F6', 'customer': 14, 'cost': 38}, {'facility': 'F6', 'customer': 15, 'cost': 874}, {'facility': 'F6', 'customer': 16, 'cost': 450}, {'facility': 'F7', 'customer': 1, 'cost': 437}, {'facility': 'F7', 'customer': 2, 'cost': 580}, {'facility': 'F7', 'customer': 3, 'cost': 900}, {'facility': 'F7', 'customer': 4, 'cost': 778}, {'facility': 'F7', 'customer': 5, 'cost': 502}, {'facility': 'F7', 'customer': 6, 'cost': 945}, {'facility': 'F7', 'customer': 7, 'cost': 806}, {'facility': 'F7', 'customer': 8, 'cost': 925}, {'facility': 'F7', 'customer': 9, 'cost': 616}, {'facility': 'F7', 'customer': 10, 'cost': 611}, {'facility': 'F7', 'customer': 11, 'cost': 956}, {'facility': 'F7', 'customer': 12, 'cost': 538}, {'facility': 'F7', 'customer': 13, 'cost': 363}, {'facility': 'F7', 'customer': 14, 'cost': 538}, {'facility': 'F7', 'customer': 15, 'cost': 243}, {'facility': 'F7', 'customer': 16, 'cost': 797}], 'objective': 10840.0}","{'selected': ['F3'], 'assignments': ['F3', 'F3', 'F3', 'F3', 'F3', 'F3', 'F3', 'F3', 'F3', 'F3', 'F3', 'F3', 'F3', 'F3', 'F3', 'F3']}",45,csv,1
UFLP,UFLP,"Many neighborhoods are waiting for pop-up clinic visits, so the coordinator has to decide which health posts to staff and which staffed post each residential cluster will use. The rule is straightforward: each cluster must go to exactly one staffed post (not zero, not two), and any staffed post can take unlimited clusters. The aim is to keep overall expenses as low as possible by adding up the staffing costs for the posts that are opened and the travel cost for all patients to reach their assigned post — lower total is better. The concrete details and numbers are provided below.

There are 7 posts and 16 clusters in this instance.

**Posts**
| post_id | staffing_cost |
|---|---|
| F1 | 2000 |
| F2 | 2000 |
| F3 | 2000 |
| F4 | 2000 |
| F5 | 2000 |
| F6 | 2000 |
| F7 | 2000 |

**Clusters**
| cluster_id |
|---|
| A |
| B |
| C |
| D |
| E |
| F |
| G |
| H |
| I |
| J |
| K |
| L |
| M |
| N |
| O |
| P |

**Travel Cost**
| post_id | cluster_id | travel_cost |
|---|---|---|
| F1 | A | 949 |
| F1 | B | 562 |
| F1 | C | 847 |
| F1 | D | 498 |
| F1 | E | 238 |
| F1 | F | 269 |
| F1 | G | 825 |
| F1 | H | 25 |
| F1 | I | 347 |
| F1 | J | 651 |
| F1 | K | 374 |
| F1 | L | 646 |
| F1 | M | 84 |
| F1 | N | 231 |
| F1 | O | 462 |
| F1 | P | 123 |
| F2 | A | 353 |
| F2 | B | 846 |
| F2 | C | 531 |
| F2 | D | 998 |
| F2 | E | 394 |
| F2 | F | 266 |
| F2 | G | 936 |
| F2 | H | 208 |
| F2 | I | 962 |
| F2 | J | 445 |
| F2 | K | 465 |
| F2 | L | 662 |
| F2 | M | 733 |
| F2 | N | 631 |
| F2 | O | 620 |
| F2 | P | 371 |
| F3 | A | 504 |
| F3 | B | 968 |
| F3 | C | 523 |
| F3 | D | 608 |
| F3 | E | 696 |
| F3 | F | 594 |
| F3 | G | 947 |
| F3 | H | 405 |
| F3 | I | 409 |
| F3 | J | 532 |
| F3 | K | 755 |
| F3 | L | 87 |
| F3 | M | 695 |
| F3 | N | 115 |
| F3 | O | 270 |
| F3 | P | 662 |
| F4 | A | 939 |
| F4 | B | 741 |
| F4 | C | 796 |
| F4 | D | 96 |
| F4 | E | 701 |
| F4 | F | 798 |
| F4 | G | 663 |
| F4 | H | 217 |
| F4 | I | 967 |
| F4 | J | 781 |
| F4 | K | 676 |
| F4 | L | 785 |
| F4 | M | 761 |
| F4 | N | 144 |
| F4 | O | 349 |
| F4 | P | 844 |
| F5 | A | 421 |
| F5 | B | 384 |
| F5 | C | 371 |
| F5 | D | 222 |
| F5 | E | 891 |
| F5 | F | 917 |
| F5 | G | 287 |
| F5 | H | 169 |
| F5 | I | 713 |
| F5 | J | 295 |
| F5 | K | 660 |
| F5 | L | 485 |
| F5 | M | 842 |
| F5 | N | 757 |
| F5 | O | 524 |
| F5 | P | 84 |
| F6 | A | 873 |
| F6 | B | 48 |
| F6 | C | 421 |
| F6 | D | 75 |
| F6 | E | 159 |
| F6 | F | 433 |
| F6 | G | 674 |
| F6 | H | 48 |
| F6 | I | 235 |
| F6 | J | 723 |
| F6 | K | 867 |
| F6 | L | 773 |
| F6 | M | 741 |
| F6 | N | 343 |
| F6 | O | 910 |
| F6 | P | 762 |
| F7 | A | 884 |
| F7 | B | 205 |
| F7 | C | 404 |
| F7 | D | 45 |
| F7 | E | 926 |
| F7 | F | 707 |
| F7 | G | 273 |
| F7 | H | 250 |
| F7 | I | 823 |
| F7 | J | 520 |
| F7 | K | 327 |
| F7 | L | 97 |
| F7 | M | 74 |
| F7 | N | 238 |
| F7 | O | 738 |
| F7 | P | 256 |

Oh, and when you send the actual plan back, please stick to this JSON layout so it's easy to parse:

{
  ""solution"": {
    ""selected"": [<post_to_staff>, <post_to_staff>, ...],
    ""assignments"": [<chosen_staffed_post>, <chosen_staffed_post>, ...]
  }
}

Think of ""selected"" as the list of posts you'll staff, and ""assignments"" as which staffed post each residential cluster will use (one entry per cluster, in the same order as the instance's cluster list). This JSON is just a sketch of the shape I expect, not the final answer.

Please also be sure to use the exact identifiers from the instance input — do not rename them or invent new labels. Valid identifiers look like plain numbers such as ""1"" or ""23"", single capital letters like ""A"" or ""B"", or a capital letter followed by digits like ""A1"" or ""X7"".","{'opening_costs': [2000, 2000, 2000, 2000, 2000, 2000, 2000], 'connection_costs': [[949, 562, 847, 498, 238, 269, 825, 25, 347, 651, 374, 646, 84, 231, 462, 123], [353, 846, 531, 998, 394, 266, 936, 208, 962, 445, 465, 662, 733, 631, 620, 371], [504, 968, 523, 608, 696, 594, 947, 405, 409, 532, 755, 87, 695, 115, 270, 662], [939, 741, 796, 96, 701, 798, 663, 217, 967, 781, 676, 785, 761, 144, 349, 844], [421, 384, 371, 222, 891, 917, 287, 169, 713, 295, 660, 485, 842, 757, 524, 84], [873, 48, 421, 75, 159, 433, 674, 48, 235, 723, 867, 773, 741, 343, 910, 762], [884, 205, 404, 45, 926, 707, 273, 250, 823, 520, 327, 97, 74, 238, 738, 256]], 'objective': 8524.0}","{'open_facilities': [0, 6], 'assignments': [6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0]}",8524.0,"{'problem_type': 'UFLP', 'num_facilities': 7, 'num_customers': 16, 'facilities': [{'id': 'F1', 'opening_cost': 2000}, {'id': 'F2', 'opening_cost': 2000}, {'id': 'F3', 'opening_cost': 2000}, {'id': 'F4', 'opening_cost': 2000}, {'id': 'F5', 'opening_cost': 2000}, {'id': 'F6', 'opening_cost': 2000}, {'id': 'F7', 'opening_cost': 2000}], 'customers': [{'id': 'A'}, {'id': 'B'}, {'id': 'C'}, {'id': 'D'}, {'id': 'E'}, {'id': 'F'}, {'id': 'G'}, {'id': 'H'}, {'id': 'I'}, {'id': 'J'}, {'id': 'K'}, {'id': 'L'}, {'id': 'M'}, {'id': 'N'}, {'id': 'O'}, {'id': 'P'}], 'connection_costs': [{'facility': 'F1', 'customer': 'A', 'cost': 949}, {'facility': 'F1', 'customer': 'B', 'cost': 562}, {'facility': 'F1', 'customer': 'C', 'cost': 847}, {'facility': 'F1', 'customer': 'D', 'cost': 498}, {'facility': 'F1', 'customer': 'E', 'cost': 238}, {'facility': 'F1', 'customer': 'F', 'cost': 269}, {'facility': 'F1', 'customer': 'G', 'cost': 825}, {'facility': 'F1', 'customer': 'H', 'cost': 25}, {'facility': 'F1', 'customer': 'I', 'cost': 347}, {'facility': 'F1', 'customer': 'J', 'cost': 651}, {'facility': 'F1', 'customer': 'K', 'cost': 374}, {'facility': 'F1', 'customer': 'L', 'cost': 646}, {'facility': 'F1', 'customer': 'M', 'cost': 84}, {'facility': 'F1', 'customer': 'N', 'cost': 231}, {'facility': 'F1', 'customer': 'O', 'cost': 462}, {'facility': 'F1', 'customer': 'P', 'cost': 123}, {'facility': 'F2', 'customer': 'A', 'cost': 353}, {'facility': 'F2', 'customer': 'B', 'cost': 846}, {'facility': 'F2', 'customer': 'C', 'cost': 531}, {'facility': 'F2', 'customer': 'D', 'cost': 998}, {'facility': 'F2', 'customer': 'E', 'cost': 394}, {'facility': 'F2', 'customer': 'F', 'cost': 266}, {'facility': 'F2', 'customer': 'G', 'cost': 936}, {'facility': 'F2', 'customer': 'H', 'cost': 208}, {'facility': 'F2', 'customer': 'I', 'cost': 962}, {'facility': 'F2', 'customer': 'J', 'cost': 445}, {'facility': 'F2', 'customer': 'K', 'cost': 465}, {'facility': 'F2', 'customer': 'L', 'cost': 662}, {'facility': 'F2', 'customer': 'M', 'cost': 733}, {'facility': 'F2', 'customer': 'N', 'cost': 631}, {'facility': 'F2', 'customer': 'O', 'cost': 620}, {'facility': 'F2', 'customer': 'P', 'cost': 371}, {'facility': 'F3', 'customer': 'A', 'cost': 504}, {'facility': 'F3', 'customer': 'B', 'cost': 968}, {'facility': 'F3', 'customer': 'C', 'cost': 523}, {'facility': 'F3', 'customer': 'D', 'cost': 608}, {'facility': 'F3', 'customer': 'E', 'cost': 696}, {'facility': 'F3', 'customer': 'F', 'cost': 594}, {'facility': 'F3', 'customer': 'G', 'cost': 947}, {'facility': 'F3', 'customer': 'H', 'cost': 405}, {'facility': 'F3', 'customer': 'I', 'cost': 409}, {'facility': 'F3', 'customer': 'J', 'cost': 532}, {'facility': 'F3', 'customer': 'K', 'cost': 755}, {'facility': 'F3', 'customer': 'L', 'cost': 87}, {'facility': 'F3', 'customer': 'M', 'cost': 695}, {'facility': 'F3', 'customer': 'N', 'cost': 115}, {'facility': 'F3', 'customer': 'O', 'cost': 270}, {'facility': 'F3', 'customer': 'P', 'cost': 662}, {'facility': 'F4', 'customer': 'A', 'cost': 939}, {'facility': 'F4', 'customer': 'B', 'cost': 741}, {'facility': 'F4', 'customer': 'C', 'cost': 796}, {'facility': 'F4', 'customer': 'D', 'cost': 96}, {'facility': 'F4', 'customer': 'E', 'cost': 701}, {'facility': 'F4', 'customer': 'F', 'cost': 798}, {'facility': 'F4', 'customer': 'G', 'cost': 663}, {'facility': 'F4', 'customer': 'H', 'cost': 217}, {'facility': 'F4', 'customer': 'I', 'cost': 967}, {'facility': 'F4', 'customer': 'J', 'cost': 781}, {'facility': 'F4', 'customer': 'K', 'cost': 676}, {'facility': 'F4', 'customer': 'L', 'cost': 785}, {'facility': 'F4', 'customer': 'M', 'cost': 761}, {'facility': 'F4', 'customer': 'N', 'cost': 144}, {'facility': 'F4', 'customer': 'O', 'cost': 349}, {'facility': 'F4', 'customer': 'P', 'cost': 844}, {'facility': 'F5', 'customer': 'A', 'cost': 421}, {'facility': 'F5', 'customer': 'B', 'cost': 384}, {'facility': 'F5', 'customer': 'C', 'cost': 371}, {'facility': 'F5', 'customer': 'D', 'cost': 222}, {'facility': 'F5', 'customer': 'E', 'cost': 891}, {'facility': 'F5', 'customer': 'F', 'cost': 917}, {'facility': 'F5', 'customer': 'G', 'cost': 287}, {'facility': 'F5', 'customer': 'H', 'cost': 169}, {'facility': 'F5', 'customer': 'I', 'cost': 713}, {'facility': 'F5', 'customer': 'J', 'cost': 295}, {'facility': 'F5', 'customer': 'K', 'cost': 660}, {'facility': 'F5', 'customer': 'L', 'cost': 485}, {'facility': 'F5', 'customer': 'M', 'cost': 842}, {'facility': 'F5', 'customer': 'N', 'cost': 757}, {'facility': 'F5', 'customer': 'O', 'cost': 524}, {'facility': 'F5', 'customer': 'P', 'cost': 84}, {'facility': 'F6', 'customer': 'A', 'cost': 873}, {'facility': 'F6', 'customer': 'B', 'cost': 48}, {'facility': 'F6', 'customer': 'C', 'cost': 421}, {'facility': 'F6', 'customer': 'D', 'cost': 75}, {'facility': 'F6', 'customer': 'E', 'cost': 159}, {'facility': 'F6', 'customer': 'F', 'cost': 433}, {'facility': 'F6', 'customer': 'G', 'cost': 674}, {'facility': 'F6', 'customer': 'H', 'cost': 48}, {'facility': 'F6', 'customer': 'I', 'cost': 235}, {'facility': 'F6', 'customer': 'J', 'cost': 723}, {'facility': 'F6', 'customer': 'K', 'cost': 867}, {'facility': 'F6', 'customer': 'L', 'cost': 773}, {'facility': 'F6', 'customer': 'M', 'cost': 741}, {'facility': 'F6', 'customer': 'N', 'cost': 343}, {'facility': 'F6', 'customer': 'O', 'cost': 910}, {'facility': 'F6', 'customer': 'P', 'cost': 762}, {'facility': 'F7', 'customer': 'A', 'cost': 884}, {'facility': 'F7', 'customer': 'B', 'cost': 205}, {'facility': 'F7', 'customer': 'C', 'cost': 404}, {'facility': 'F7', 'customer': 'D', 'cost': 45}, {'facility': 'F7', 'customer': 'E', 'cost': 926}, {'facility': 'F7', 'customer': 'F', 'cost': 707}, {'facility': 'F7', 'customer': 'G', 'cost': 273}, {'facility': 'F7', 'customer': 'H', 'cost': 250}, {'facility': 'F7', 'customer': 'I', 'cost': 823}, {'facility': 'F7', 'customer': 'J', 'cost': 520}, {'facility': 'F7', 'customer': 'K', 'cost': 327}, {'facility': 'F7', 'customer': 'L', 'cost': 97}, {'facility': 'F7', 'customer': 'M', 'cost': 74}, {'facility': 'F7', 'customer': 'N', 'cost': 238}, {'facility': 'F7', 'customer': 'O', 'cost': 738}, {'facility': 'F7', 'customer': 'P', 'cost': 256}], 'objective': 8524.0}","{'selected': ['F1', 'F7'], 'assignments': ['F7', 'F7', 'F7', 'F7', 'F1', 'F1', 'F7', 'F1', 'F1', 'F7', 'F7', 'F7', 'F7', 'F1', 'F1', 'F1']}",46,markdown_table,names
UFLP,UFLP,"There’s a practical problem at the co-op: some central pickup sites could stay active while others could be shut down, and each decision affects how far farmers have to travel. The task is to pick a set of sites to keep running (each incurs its own upkeep cost) and then attach each farm to one of those running sites. The measure of a good plan is the total spending — the sum of the maintenance bills for the active sites plus all farmers’ delivery costs to their chosen site — and that total should be as small as possible. Each farm must be tied to exactly one active site, no exceptions or duplicates. The concrete setup and numbers follow below.

{
  ""num_pickup_sites"": 8,
  ""num_farms"": 20,
  ""sites"": [
    {
      ""site_id"": ""F1"",
      ""site_upkeep_cost"": 4060
    },
    {
      ""site_id"": ""F2"",
      ""site_upkeep_cost"": 7582
    },
    {
      ""site_id"": ""F3"",
      ""site_upkeep_cost"": 2839
    },
    {
      ""site_id"": ""F4"",
      ""site_upkeep_cost"": 6594
    },
    {
      ""site_id"": ""F5"",
      ""site_upkeep_cost"": 1423
    },
    {
      ""site_id"": ""F6"",
      ""site_upkeep_cost"": 5322
    },
    {
      ""site_id"": ""F7"",
      ""site_upkeep_cost"": 9642
    },
    {
      ""site_id"": ""F8"",
      ""site_upkeep_cost"": 5358
    }
  ],
  ""farms"": [
    {
      ""farm_id"": 0
    },
    {
      ""farm_id"": 1
    },
    {
      ""farm_id"": 2
    },
    {
      ""farm_id"": 3
    },
    {
      ""farm_id"": 4
    },
    {
      ""farm_id"": 5
    },
    {
      ""farm_id"": 6
    },
    {
      ""farm_id"": 7
    },
    {
      ""farm_id"": 8
    },
    {
      ""farm_id"": 9
    },
    {
      ""farm_id"": 10
    },
    {
      ""farm_id"": 11
    },
    {
      ""farm_id"": 12
    },
    {
      ""farm_id"": 13
    },
    {
      ""farm_id"": 14
    },
    {
      ""farm_id"": 15
    },
    {
      ""farm_id"": 16
    },
    {
      ""farm_id"": 17
    },
    {
      ""farm_id"": 18
    },
    {
      ""farm_id"": 19
    }
  ],
  ""deliverys"": [
    {
      ""site_id"": ""F1"",
      ""farm_id"": 0,
      ""delivery_cost"": 642
    },
    {
      ""site_id"": ""F1"",
      ""farm_id"": 1,
      ""delivery_cost"": 149
    },
    {
      ""site_id"": ""F1"",
      ""farm_id"": 2,
      ""delivery_cost"": 554
    },
    {
      ""site_id"": ""F1"",
      ""farm_id"": 3,
      ""delivery_cost"": 700
    },
    {
      ""site_id"": ""F1"",
      ""farm_id"": 4,
      ""delivery_cost"": 183
    },
    {
      ""site_id"": ""F1"",
      ""farm_id"": 5,
      ""delivery_cost"": 363
    },
    {
      ""site_id"": ""F1"",
      ""farm_id"": 6,
      ""delivery_cost"": 820
    },
    {
      ""site_id"": ""F1"",
      ""farm_id"": 7,
      ""delivery_cost"": 438
    },
    {
      ""site_id"": ""F1"",
      ""farm_id"": 8,
      ""delivery_cost"": 496
    },
    {
      ""site_id"": ""F1"",
      ""farm_id"": 9,
      ""delivery_cost"": 884
    },
    {
      ""site_id"": ""F1"",
      ""farm_id"": 10,
      ""delivery_cost"": 251
    },
    {
      ""site_id"": ""F1"",
      ""farm_id"": 11,
      ""delivery_cost"": 422
    },
    {
      ""site_id"": ""F1"",
      ""farm_id"": 12,
      ""delivery_cost"": 714
    },
    {
      ""site_id"": ""F1"",
      ""farm_id"": 13,
      ""delivery_cost"": 617
    },
    {
      ""site_id"": ""F1"",
      ""farm_id"": 14,
      ""delivery_cost"": 735
    },
    {
      ""site_id"": ""F1"",
      ""farm_id"": 15,
      ""delivery_cost"": 460
    },
    {
      ""site_id"": ""F1"",
      ""farm_id"": 16,
      ""delivery_cost"": 186
    },
    {
      ""site_id"": ""F1"",
      ""farm_id"": 17,
      ""delivery_cost"": 411
    },
    {
      ""site_id"": ""F1"",
      ""farm_id"": 18,
      ""delivery_cost"": 475
    },
    {
      ""site_id"": ""F1"",
      ""farm_id"": 19,
      ""delivery_cost"": 715
    },
    {
      ""site_id"": ""F2"",
      ""farm_id"": 0,
      ""delivery_cost"": 237
    },
    {
      ""site_id"": ""F2"",
      ""farm_id"": 1,
      ""delivery_cost"": 300
    },
    {
      ""site_id"": ""F2"",
      ""farm_id"": 2,
      ""delivery_cost"": 283
    },
    {
      ""site_id"": ""F2"",
      ""farm_id"": 3,
      ""delivery_cost"": 460
    },
    {
      ""site_id"": ""F2"",
      ""farm_id"": 4,
      ""delivery_cost"": 338
    },
    {
      ""site_id"": ""F2"",
      ""farm_id"": 5,
      ""delivery_cost"": 391
    },
    {
      ""site_id"": ""F2"",
      ""farm_id"": 6,
      ""delivery_cost"": 633
    },
    {
      ""site_id"": ""F2"",
      ""farm_id"": 7,
      ""delivery_cost"": 894
    },
    {
      ""site_id"": ""F2"",
      ""farm_id"": 8,
      ""delivery_cost"": 900
    },
    {
      ""site_id"": ""F2"",
      ""farm_id"": 9,
      ""delivery_cost"": 795
    },
    {
      ""site_id"": ""F2"",
      ""farm_id"": 10,
      ""delivery_cost"": 977
    },
    {
      ""site_id"": ""F2"",
      ""farm_id"": 11,
      ""delivery_cost"": 825
    },
    {
      ""site_id"": ""F2"",
      ""farm_id"": 12,
      ""delivery_cost"": 781
    },
    {
      ""site_id"": ""F2"",
      ""farm_id"": 13,
      ""delivery_cost"": 417
    },
    {
      ""site_id"": ""F2"",
      ""farm_id"": 14,
      ""delivery_cost"": 23
    },
    {
      ""site_id"": ""F2"",
      ""farm_id"": 15,
      ""delivery_cost"": 331
    },
    {
      ""site_id"": ""F2"",
      ""farm_id"": 16,
      ""delivery_cost"": 492
    },
    {
      ""site_id"": ""F2"",
      ""farm_id"": 17,
      ""delivery_cost"": 319
    },
    {
      ""site_id"": ""F2"",
      ""farm_id"": 18,
      ""delivery_cost"": 622
    },
    {
      ""site_id"": ""F2"",
      ""farm_id"": 19,
      ""delivery_cost"": 732
    },
    {
      ""site_id"": ""F3"",
      ""farm_id"": 0,
      ""delivery_cost"": 896
    },
    {
      ""site_id"": ""F3"",
      ""farm_id"": 1,
      ""delivery_cost"": 985
    },
    {
      ""site_id"": ""F3"",
      ""farm_id"": 2,
      ""delivery_cost"": 363
    },
    {
      ""site_id"": ""F3"",
      ""farm_id"": 3,
      ""delivery_cost"": 720
    },
    {
      ""site_id"": ""F3"",
      ""farm_id"": 4,
      ""delivery_cost"": 822
    },
    {
      ""site_id"": ""F3"",
      ""farm_id"": 5,
      ""delivery_cost"": 415
    },
    {
      ""site_id"": ""F3"",
      ""farm_id"": 6,
      ""delivery_cost"": 47
    },
    {
      ""site_id"": ""F3"",
      ""farm_id"": 7,
      ""delivery_cost"": 469
    },
    {
      ""site_id"": ""F3"",
      ""farm_id"": 8,
      ""delivery_cost"": 22
    },
    {
      ""site_id"": ""F3"",
      ""farm_id"": 9,
      ""delivery_cost"": 307
    },
    {
      ""site_id"": ""F3"",
      ""farm_id"": 10,
      ""delivery_cost"": 314
    },
    {
      ""site_id"": ""F3"",
      ""farm_id"": 11,
      ""delivery_cost"": 322
    },
    {
      ""site_id"": ""F3"",
      ""farm_id"": 12,
      ""delivery_cost"": 616
    },
    {
      ""site_id"": ""F3"",
      ""farm_id"": 13,
      ""delivery_cost"": 870
    },
    {
      ""site_id"": ""F3"",
      ""farm_id"": 14,
      ""delivery_cost"": 771
    },
    {
      ""site_id"": ""F3"",
      ""farm_id"": 15,
      ""delivery_cost"": 575
    },
    {
      ""site_id"": ""F3"",
      ""farm_id"": 16,
      ""delivery_cost"": 580
    },
    {
      ""site_id"": ""F3"",
      ""farm_id"": 17,
      ""delivery_cost"": 713
    },
    {
      ""site_id"": ""F3"",
      ""farm_id"": 18,
      ""delivery_cost"": 402
    },
    {
      ""site_id"": ""F3"",
      ""farm_id"": 19,
      ""delivery_cost"": 729
    },
    {
      ""site_id"": ""F4"",
      ""farm_id"": 0,
      ""delivery_cost"": 439
    },
    {
      ""site_id"": ""F4"",
      ""farm_id"": 1,
      ""delivery_cost"": 204
    },
    {
      ""site_id"": ""F4"",
      ""farm_id"": 2,
      ""delivery_cost"": 761
    },
    {
      ""site_id"": ""F4"",
      ""farm_id"": 3,
      ""delivery_cost"": 80
    },
    {
      ""site_id"": ""F4"",
      ""farm_id"": 4,
      ""delivery_cost"": 775
    },
    {
      ""site_id"": ""F4"",
      ""farm_id"": 5,
      ""delivery_cost"": 907
    },
    {
      ""site_id"": ""F4"",
      ""farm_id"": 6,
      ""delivery_cost"": 254
    },
    {
      ""site_id"": ""F4"",
      ""farm_id"": 7,
      ""delivery_cost"": 27
    },
    {
      ""site_id"": ""F4"",
      ""farm_id"": 8,
      ""delivery_cost"": 605
    },
    {
      ""site_id"": ""F4"",
      ""farm_id"": 9,
      ""delivery_cost"": 231
    },
    {
      ""site_id"": ""F4"",
      ""farm_id"": 10,
      ""delivery_cost"": 7
    },
    {
      ""site_id"": ""F4"",
      ""farm_id"": 11,
      ""delivery_cost"": 561
    },
    {
      ""site_id"": ""F4"",
      ""farm_id"": 12,
      ""delivery_cost"": 677
    },
    {
      ""site_id"": ""F4"",
      ""farm_id"": 13,
      ""delivery_cost"": 806
    },
    {
      ""site_id"": ""F4"",
      ""farm_id"": 14,
      ""delivery_cost"": 332
    },
    {
      ""site_id"": ""F4"",
      ""farm_id"": 15,
      ""delivery_cost"": 718
    },
    {
      ""site_id"": ""F4"",
      ""farm_id"": 16,
      ""delivery_cost"": 664
    },
    {
      ""site_id"": ""F4"",
      ""farm_id"": 17,
      ""delivery_cost"": 231
    },
    {
      ""site_id"": ""F4"",
      ""farm_id"": 18,
      ""delivery_cost"": 708
    },
    {
      ""site_id"": ""F4"",
      ""farm_id"": 19,
      ""delivery_cost"": 112
    },
    {
      ""site_id"": ""F5"",
      ""farm_id"": 0,
      ""delivery_cost"": 741
    },
    {
      ""site_id"": ""F5"",
      ""farm_id"": 1,
      ""delivery_cost"": 858
    },
    {
      ""site_id"": ""F5"",
      ""farm_id"": 2,
      ""delivery_cost"": 775
    },
    {
      ""site_id"": ""F5"",
      ""farm_id"": 3,
      ""delivery_cost"": 208
    },
    {
      ""site_id"": ""F5"",
      ""farm_id"": 4,
      ""delivery_cost"": 186
    },
    {
      ""site_id"": ""F5"",
      ""farm_id"": 5,
      ""delivery_cost"": 86
    },
    {
      ""site_id"": ""F5"",
      ""farm_id"": 6,
      ""delivery_cost"": 739
    },
    {
      ""site_id"": ""F5"",
      ""farm_id"": 7,
      ""delivery_cost"": 280
    },
    {
      ""site_id"": ""F5"",
      ""farm_id"": 8,
      ""delivery_cost"": 138
    },
    {
      ""site_id"": ""F5"",
      ""farm_id"": 9,
      ""delivery_cost"": 652
    },
    {
      ""site_id"": ""F5"",
      ""farm_id"": 10,
      ""delivery_cost"": 309
    },
    {
      ""site_id"": ""F5"",
      ""farm_id"": 11,
      ""delivery_cost"": 359
    },
    {
      ""site_id"": ""F5"",
      ""farm_id"": 12,
      ""delivery_cost"": 541
    },
    {
      ""site_id"": ""F5"",
      ""farm_id"": 13,
      ""delivery_cost"": 967
    },
    {
      ""site_id"": ""F5"",
      ""farm_id"": 14,
      ""delivery_cost"": 90
    },
    {
      ""site_id"": ""F5"",
      ""farm_id"": 15,
      ""delivery_cost"": 407
    },
    {
      ""site_id"": ""F5"",
      ""farm_id"": 16,
      ""delivery_cost"": 941
    },
    {
      ""site_id"": ""F5"",
      ""farm_id"": 17,
      ""delivery_cost"": 894
    },
    {
      ""site_id"": ""F5"",
      ""farm_id"": 18,
      ""delivery_cost"": 149
    },
    {
      ""site_id"": ""F5"",
      ""farm_id"": 19,
      ""delivery_cost"": 624
    },
    {
      ""site_id"": ""F6"",
      ""farm_id"": 0,
      ""delivery_cost"": 935
    },
    {
      ""site_id"": ""F6"",
      ""farm_id"": 1,
      ""delivery_cost"": 799
    },
    {
      ""site_id"": ""F6"",
      ""farm_id"": 2,
      ""delivery_cost"": 481
    },
    {
      ""site_id"": ""F6"",
      ""farm_id"": 3,
      ""delivery_cost"": 840
    },
    {
      ""site_id"": ""F6"",
      ""farm_id"": 4,
      ""delivery_cost"": 400
    },
    {
      ""site_id"": ""F6"",
      ""farm_id"": 5,
      ""delivery_cost"": 882
    },
    {
      ""site_id"": ""F6"",
      ""farm_id"": 6,
      ""delivery_cost"": 175
    },
    {
      ""site_id"": ""F6"",
      ""farm_id"": 7,
      ""delivery_cost"": 949
    },
    {
      ""site_id"": ""F6"",
      ""farm_id"": 8,
      ""delivery_cost"": 613
    },
    {
      ""site_id"": ""F6"",
      ""farm_id"": 9,
      ""delivery_cost"": 508
    },
    {
      ""site_id"": ""F6"",
      ""farm_id"": 10,
      ""delivery_cost"": 544
    },
    {
      ""site_id"": ""F6"",
      ""farm_id"": 11,
      ""delivery_cost"": 182
    },
    {
      ""site_id"": ""F6"",
      ""farm_id"": 12,
      ""delivery_cost"": 110
    },
    {
      ""site_id"": ""F6"",
      ""farm_id"": 13,
      ""delivery_cost"": 430
    },
    {
      ""site_id"": ""F6"",
      ""farm_id"": 14,
      ""delivery_cost"": 943
    },
    {
      ""site_id"": ""F6"",
      ""farm_id"": 15,
      ""delivery_cost"": 688
    },
    {
      ""site_id"": ""F6"",
      ""farm_id"": 16,
      ""delivery_cost"": 659
    },
    {
      ""site_id"": ""F6"",
      ""farm_id"": 17,
      ""delivery_cost"": 268
    },
    {
      ""site_id"": ""F6"",
      ""farm_id"": 18,
      ""delivery_cost"": 358
    },
    {
      ""site_id"": ""F6"",
      ""farm_id"": 19,
      ""delivery_cost"": 819
    },
    {
      ""site_id"": ""F7"",
      ""farm_id"": 0,
      ""delivery_cost"": 479
    },
    {
      ""site_id"": ""F7"",
      ""farm_id"": 1,
      ""delivery_cost"": 106
    },
    {
      ""site_id"": ""F7"",
      ""farm_id"": 2,
      ""delivery_cost"": 222
    },
    {
      ""site_id"": ""F7"",
      ""farm_id"": 3,
      ""delivery_cost"": 913
    },
    {
      ""site_id"": ""F7"",
      ""farm_id"": 4,
      ""delivery_cost"": 595
    },
    {
      ""site_id"": ""F7"",
      ""farm_id"": 5,
      ""delivery_cost"": 453
    },
    {
      ""site_id"": ""F7"",
      ""farm_id"": 6,
      ""delivery_cost"": 510
    },
    {
      ""site_id"": ""F7"",
      ""farm_id"": 7,
      ""delivery_cost"": 229
    },
    {
      ""site_id"": ""F7"",
      ""farm_id"": 8,
      ""delivery_cost"": 646
    },
    {
      ""site_id"": ""F7"",
      ""farm_id"": 9,
      ""delivery_cost"": 148
    },
    {
      ""site_id"": ""F7"",
      ""farm_id"": 10,
      ""delivery_cost"": 606
    },
    {
      ""site_id"": ""F7"",
      ""farm_id"": 11,
      ""delivery_cost"": 244
    },
    {
      ""site_id"": ""F7"",
      ""farm_id"": 12,
      ""delivery_cost"": 243
    },
    {
      ""site_id"": ""F7"",
      ""farm_id"": 13,
      ""delivery_cost"": 577
    },
    {
      ""site_id"": ""F7"",
      ""farm_id"": 14,
      ""delivery_cost"": 462
    },
    {
      ""site_id"": ""F7"",
      ""farm_id"": 15,
      ""delivery_cost"": 397
    },
    {
      ""site_id"": ""F7"",
      ""farm_id"": 16,
      ""delivery_cost"": 887
    },
    {
      ""site_id"": ""F7"",
      ""farm_id"": 17,
      ""delivery_cost"": 512
    },
    {
      ""site_id"": ""F7"",
      ""farm_id"": 18,
      ""delivery_cost"": 484
    },
    {
      ""site_id"": ""F7"",
      ""farm_id"": 19,
      ""delivery_cost"": 70
    },
    {
      ""site_id"": ""F8"",
      ""farm_id"": 0,
      ""delivery_cost"": 825
    },
    {
      ""site_id"": ""F8"",
      ""farm_id"": 1,
      ""delivery_cost"": 151
    },
    {
      ""site_id"": ""F8"",
      ""farm_id"": 2,
      ""delivery_cost"": 712
    },
    {
      ""site_id"": ""F8"",
      ""farm_id"": 3,
      ""delivery_cost"": 751
    },
    {
      ""site_id"": ""F8"",
      ""farm_id"": 4,
      ""delivery_cost"": 774
    },
    {
      ""site_id"": ""F8"",
      ""farm_id"": 5,
      ""delivery_cost"": 264
    },
    {
      ""site_id"": ""F8"",
      ""farm_id"": 6,
      ""delivery_cost"": 167
    },
    {
      ""site_id"": ""F8"",
      ""farm_id"": 7,
      ""delivery_cost"": 515
    },
    {
      ""site_id"": ""F8"",
      ""farm_id"": 8,
      ""delivery_cost"": 463
    },
    {
      ""site_id"": ""F8"",
      ""farm_id"": 9,
      ""delivery_cost"": 379
    },
    {
      ""site_id"": ""F8"",
      ""farm_id"": 10,
      ""delivery_cost"": 782
    },
    {
      ""site_id"": ""F8"",
      ""farm_id"": 11,
      ""delivery_cost"": 655
    },
    {
      ""site_id"": ""F8"",
      ""farm_id"": 12,
      ""delivery_cost"": 940
    },
    {
      ""site_id"": ""F8"",
      ""farm_id"": 13,
      ""delivery_cost"": 626
    },
    {
      ""site_id"": ""F8"",
      ""farm_id"": 14,
      ""delivery_cost"": 736
    },
    {
      ""site_id"": ""F8"",
      ""farm_id"": 15,
      ""delivery_cost"": 50
    },
    {
      ""site_id"": ""F8"",
      ""farm_id"": 16,
      ""delivery_cost"": 497
    },
    {
      ""site_id"": ""F8"",
      ""farm_id"": 17,
      ""delivery_cost"": 200
    },
    {
      ""site_id"": ""F8"",
      ""farm_id"": 18,
      ""delivery_cost"": 484
    },
    {
      ""site_id"": ""F8"",
      ""farm_id"": 19,
      ""delivery_cost"": 904
    }
  ]
}

Also, to keep things simple, please give the final plan in a tiny JSON sketch like this:

{
  ""solution"": {
    ""selected"": [<site_to_open>, <site_to_open>, ...],
    ""assignments"": [<chosen_open_site>, <chosen_open_site>, ...]
  }
}

Here ""selected"" is the list of sites you choose to keep running, and ""assignments"" lists, for each farm, the site it's assigned to (use the same order the instance uses for farms). Think of it like filling out a form: first pick which sites stay active, then say which active site each farm goes to.

This is just the expected shape — a sketch to show the layout, not the filled-in answer.

Please make sure to use the exact identifiers from the instance input with no renaming or invented labels. 
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'opening_costs': [4060, 7582, 2839, 6594, 1423, 5322, 9642, 5358], 'connection_costs': [[642, 149, 554, 700, 183, 363, 820, 438, 496, 884, 251, 422, 714, 617, 735, 460, 186, 411, 475, 715], [237, 300, 283, 460, 338, 391, 633, 894, 900, 795, 977, 825, 781, 417, 23, 331, 492, 319, 622, 732], [896, 985, 363, 720, 822, 415, 47, 469, 22, 307, 314, 322, 616, 870, 771, 575, 580, 713, 402, 729], [439, 204, 761, 80, 775, 907, 254, 27, 605, 231, 7, 561, 677, 806, 332, 718, 664, 231, 708, 112], [741, 858, 775, 208, 186, 86, 739, 280, 138, 652, 309, 359, 541, 967, 90, 407, 941, 894, 149, 624], [935, 799, 481, 840, 400, 882, 175, 949, 613, 508, 544, 182, 110, 430, 943, 688, 659, 268, 358, 819], [479, 106, 222, 913, 595, 453, 510, 229, 646, 148, 606, 244, 243, 577, 462, 397, 887, 512, 484, 70], [825, 151, 712, 751, 774, 264, 167, 515, 463, 379, 782, 655, 940, 626, 736, 50, 497, 200, 484, 904]], 'objective': 11367.0}","{'open_facilities': [4], 'assignments': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]}",11367.0,"{'problem_type': 'UFLP', 'num_facilities': 8, 'num_customers': 20, 'facilities': [{'id': 'F1', 'opening_cost': 4060}, {'id': 'F2', 'opening_cost': 7582}, {'id': 'F3', 'opening_cost': 2839}, {'id': 'F4', 'opening_cost': 6594}, {'id': 'F5', 'opening_cost': 1423}, {'id': 'F6', 'opening_cost': 5322}, {'id': 'F7', 'opening_cost': 9642}, {'id': 'F8', 'opening_cost': 5358}], 'customers': [{'id': 0}, {'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}, {'id': 16}, {'id': 17}, {'id': 18}, {'id': 19}], 'connection_costs': [{'facility': 'F1', 'customer': 0, 'cost': 642}, {'facility': 'F1', 'customer': 1, 'cost': 149}, {'facility': 'F1', 'customer': 2, 'cost': 554}, {'facility': 'F1', 'customer': 3, 'cost': 700}, {'facility': 'F1', 'customer': 4, 'cost': 183}, {'facility': 'F1', 'customer': 5, 'cost': 363}, {'facility': 'F1', 'customer': 6, 'cost': 820}, {'facility': 'F1', 'customer': 7, 'cost': 438}, {'facility': 'F1', 'customer': 8, 'cost': 496}, {'facility': 'F1', 'customer': 9, 'cost': 884}, {'facility': 'F1', 'customer': 10, 'cost': 251}, {'facility': 'F1', 'customer': 11, 'cost': 422}, {'facility': 'F1', 'customer': 12, 'cost': 714}, {'facility': 'F1', 'customer': 13, 'cost': 617}, {'facility': 'F1', 'customer': 14, 'cost': 735}, {'facility': 'F1', 'customer': 15, 'cost': 460}, {'facility': 'F1', 'customer': 16, 'cost': 186}, {'facility': 'F1', 'customer': 17, 'cost': 411}, {'facility': 'F1', 'customer': 18, 'cost': 475}, {'facility': 'F1', 'customer': 19, 'cost': 715}, {'facility': 'F2', 'customer': 0, 'cost': 237}, {'facility': 'F2', 'customer': 1, 'cost': 300}, {'facility': 'F2', 'customer': 2, 'cost': 283}, {'facility': 'F2', 'customer': 3, 'cost': 460}, {'facility': 'F2', 'customer': 4, 'cost': 338}, {'facility': 'F2', 'customer': 5, 'cost': 391}, {'facility': 'F2', 'customer': 6, 'cost': 633}, {'facility': 'F2', 'customer': 7, 'cost': 894}, {'facility': 'F2', 'customer': 8, 'cost': 900}, {'facility': 'F2', 'customer': 9, 'cost': 795}, {'facility': 'F2', 'customer': 10, 'cost': 977}, {'facility': 'F2', 'customer': 11, 'cost': 825}, {'facility': 'F2', 'customer': 12, 'cost': 781}, {'facility': 'F2', 'customer': 13, 'cost': 417}, {'facility': 'F2', 'customer': 14, 'cost': 23}, {'facility': 'F2', 'customer': 15, 'cost': 331}, {'facility': 'F2', 'customer': 16, 'cost': 492}, {'facility': 'F2', 'customer': 17, 'cost': 319}, {'facility': 'F2', 'customer': 18, 'cost': 622}, {'facility': 'F2', 'customer': 19, 'cost': 732}, {'facility': 'F3', 'customer': 0, 'cost': 896}, {'facility': 'F3', 'customer': 1, 'cost': 985}, {'facility': 'F3', 'customer': 2, 'cost': 363}, {'facility': 'F3', 'customer': 3, 'cost': 720}, {'facility': 'F3', 'customer': 4, 'cost': 822}, {'facility': 'F3', 'customer': 5, 'cost': 415}, {'facility': 'F3', 'customer': 6, 'cost': 47}, {'facility': 'F3', 'customer': 7, 'cost': 469}, {'facility': 'F3', 'customer': 8, 'cost': 22}, {'facility': 'F3', 'customer': 9, 'cost': 307}, {'facility': 'F3', 'customer': 10, 'cost': 314}, {'facility': 'F3', 'customer': 11, 'cost': 322}, {'facility': 'F3', 'customer': 12, 'cost': 616}, {'facility': 'F3', 'customer': 13, 'cost': 870}, {'facility': 'F3', 'customer': 14, 'cost': 771}, {'facility': 'F3', 'customer': 15, 'cost': 575}, {'facility': 'F3', 'customer': 16, 'cost': 580}, {'facility': 'F3', 'customer': 17, 'cost': 713}, {'facility': 'F3', 'customer': 18, 'cost': 402}, {'facility': 'F3', 'customer': 19, 'cost': 729}, {'facility': 'F4', 'customer': 0, 'cost': 439}, {'facility': 'F4', 'customer': 1, 'cost': 204}, {'facility': 'F4', 'customer': 2, 'cost': 761}, {'facility': 'F4', 'customer': 3, 'cost': 80}, {'facility': 'F4', 'customer': 4, 'cost': 775}, {'facility': 'F4', 'customer': 5, 'cost': 907}, {'facility': 'F4', 'customer': 6, 'cost': 254}, {'facility': 'F4', 'customer': 7, 'cost': 27}, {'facility': 'F4', 'customer': 8, 'cost': 605}, {'facility': 'F4', 'customer': 9, 'cost': 231}, {'facility': 'F4', 'customer': 10, 'cost': 7}, {'facility': 'F4', 'customer': 11, 'cost': 561}, {'facility': 'F4', 'customer': 12, 'cost': 677}, {'facility': 'F4', 'customer': 13, 'cost': 806}, {'facility': 'F4', 'customer': 14, 'cost': 332}, {'facility': 'F4', 'customer': 15, 'cost': 718}, {'facility': 'F4', 'customer': 16, 'cost': 664}, {'facility': 'F4', 'customer': 17, 'cost': 231}, {'facility': 'F4', 'customer': 18, 'cost': 708}, {'facility': 'F4', 'customer': 19, 'cost': 112}, {'facility': 'F5', 'customer': 0, 'cost': 741}, {'facility': 'F5', 'customer': 1, 'cost': 858}, {'facility': 'F5', 'customer': 2, 'cost': 775}, {'facility': 'F5', 'customer': 3, 'cost': 208}, {'facility': 'F5', 'customer': 4, 'cost': 186}, {'facility': 'F5', 'customer': 5, 'cost': 86}, {'facility': 'F5', 'customer': 6, 'cost': 739}, {'facility': 'F5', 'customer': 7, 'cost': 280}, {'facility': 'F5', 'customer': 8, 'cost': 138}, {'facility': 'F5', 'customer': 9, 'cost': 652}, {'facility': 'F5', 'customer': 10, 'cost': 309}, {'facility': 'F5', 'customer': 11, 'cost': 359}, {'facility': 'F5', 'customer': 12, 'cost': 541}, {'facility': 'F5', 'customer': 13, 'cost': 967}, {'facility': 'F5', 'customer': 14, 'cost': 90}, {'facility': 'F5', 'customer': 15, 'cost': 407}, {'facility': 'F5', 'customer': 16, 'cost': 941}, {'facility': 'F5', 'customer': 17, 'cost': 894}, {'facility': 'F5', 'customer': 18, 'cost': 149}, {'facility': 'F5', 'customer': 19, 'cost': 624}, {'facility': 'F6', 'customer': 0, 'cost': 935}, {'facility': 'F6', 'customer': 1, 'cost': 799}, {'facility': 'F6', 'customer': 2, 'cost': 481}, {'facility': 'F6', 'customer': 3, 'cost': 840}, {'facility': 'F6', 'customer': 4, 'cost': 400}, {'facility': 'F6', 'customer': 5, 'cost': 882}, {'facility': 'F6', 'customer': 6, 'cost': 175}, {'facility': 'F6', 'customer': 7, 'cost': 949}, {'facility': 'F6', 'customer': 8, 'cost': 613}, {'facility': 'F6', 'customer': 9, 'cost': 508}, {'facility': 'F6', 'customer': 10, 'cost': 544}, {'facility': 'F6', 'customer': 11, 'cost': 182}, {'facility': 'F6', 'customer': 12, 'cost': 110}, {'facility': 'F6', 'customer': 13, 'cost': 430}, {'facility': 'F6', 'customer': 14, 'cost': 943}, {'facility': 'F6', 'customer': 15, 'cost': 688}, {'facility': 'F6', 'customer': 16, 'cost': 659}, {'facility': 'F6', 'customer': 17, 'cost': 268}, {'facility': 'F6', 'customer': 18, 'cost': 358}, {'facility': 'F6', 'customer': 19, 'cost': 819}, {'facility': 'F7', 'customer': 0, 'cost': 479}, {'facility': 'F7', 'customer': 1, 'cost': 106}, {'facility': 'F7', 'customer': 2, 'cost': 222}, {'facility': 'F7', 'customer': 3, 'cost': 913}, {'facility': 'F7', 'customer': 4, 'cost': 595}, {'facility': 'F7', 'customer': 5, 'cost': 453}, {'facility': 'F7', 'customer': 6, 'cost': 510}, {'facility': 'F7', 'customer': 7, 'cost': 229}, {'facility': 'F7', 'customer': 8, 'cost': 646}, {'facility': 'F7', 'customer': 9, 'cost': 148}, {'facility': 'F7', 'customer': 10, 'cost': 606}, {'facility': 'F7', 'customer': 11, 'cost': 244}, {'facility': 'F7', 'customer': 12, 'cost': 243}, {'facility': 'F7', 'customer': 13, 'cost': 577}, {'facility': 'F7', 'customer': 14, 'cost': 462}, {'facility': 'F7', 'customer': 15, 'cost': 397}, {'facility': 'F7', 'customer': 16, 'cost': 887}, {'facility': 'F7', 'customer': 17, 'cost': 512}, {'facility': 'F7', 'customer': 18, 'cost': 484}, {'facility': 'F7', 'customer': 19, 'cost': 70}, {'facility': 'F8', 'customer': 0, 'cost': 825}, {'facility': 'F8', 'customer': 1, 'cost': 151}, {'facility': 'F8', 'customer': 2, 'cost': 712}, {'facility': 'F8', 'customer': 3, 'cost': 751}, {'facility': 'F8', 'customer': 4, 'cost': 774}, {'facility': 'F8', 'customer': 5, 'cost': 264}, {'facility': 'F8', 'customer': 6, 'cost': 167}, {'facility': 'F8', 'customer': 7, 'cost': 515}, {'facility': 'F8', 'customer': 8, 'cost': 463}, {'facility': 'F8', 'customer': 9, 'cost': 379}, {'facility': 'F8', 'customer': 10, 'cost': 782}, {'facility': 'F8', 'customer': 11, 'cost': 655}, {'facility': 'F8', 'customer': 12, 'cost': 940}, {'facility': 'F8', 'customer': 13, 'cost': 626}, {'facility': 'F8', 'customer': 14, 'cost': 736}, {'facility': 'F8', 'customer': 15, 'cost': 50}, {'facility': 'F8', 'customer': 16, 'cost': 497}, {'facility': 'F8', 'customer': 17, 'cost': 200}, {'facility': 'F8', 'customer': 18, 'cost': 484}, {'facility': 'F8', 'customer': 19, 'cost': 904}], 'objective': 11367.0}","{'selected': ['F5'], 'assignments': ['F5', 'F5', 'F5', 'F5', 'F5', 'F5', 'F5', 'F5', 'F5', 'F5', 'F5', 'F5', 'F5', 'F5', 'F5', 'F5', 'F5', 'F5', 'F5', 'F5']}",47,json,0
UFLP,UFLP,"There’s a fleet logistics puzzle: the company needs to decide which charging sites to enable and then send each parking zone’s vehicles to a single enabled site. Enabling a site isn’t free, and drivers spend time and fuel getting cars from their zones to the assigned site, so the total expense is the sum of the enabling fees plus all those repositioning costs — the aim is to keep that combined expense as low as possible. Each zone needs one and only one destination hub, and a hub can accept unlimited zones. The concrete instance details are listed below.

For this instance there are 8 candidate charging hubs, 20 parking zones, and the hub enabling fees are 2000, 2000, 2000, 2000, 2000, 2000, 2000, 2000.
Candidate hub F1 has an enabling fee of 2000.
Candidate hub F2 has an enabling fee of 2000.
Candidate hub F3 has an enabling fee of 2000.
Candidate hub F4 has an enabling fee of 2000.
Candidate hub F5 has an enabling fee of 2000.
Candidate hub F6 has an enabling fee of 2000.
Candidate hub F7 has an enabling fee of 2000.
Candidate hub F8 has an enabling fee of 2000.
Assigning parking zone 0 to hub F1 incurs a repositioning cost of 988.
Assigning parking zone 1 to hub F1 incurs a repositioning cost of 766.
Assigning parking zone 2 to hub F1 incurs a repositioning cost of 589.
Assigning parking zone 3 to hub F1 incurs a repositioning cost of 867.
Assigning parking zone 4 to hub F1 incurs a repositioning cost of 636.
Assigning parking zone 5 to hub F1 incurs a repositioning cost of 402.
Assigning parking zone 6 to hub F1 incurs a repositioning cost of 478.
Assigning parking zone 7 to hub F1 incurs a repositioning cost of 991.
Assigning parking zone 8 to hub F1 incurs a repositioning cost of 883.
Assigning parking zone 9 to hub F1 incurs a repositioning cost of 880.
Assigning parking zone 10 to hub F1 incurs a repositioning cost of 56.
Assigning parking zone 11 to hub F1 incurs a repositioning cost of 359.
Assigning parking zone 12 to hub F1 incurs a repositioning cost of 577.
Assigning parking zone 13 to hub F1 incurs a repositioning cost of 820.
Assigning parking zone 14 to hub F1 incurs a repositioning cost of 758.
Assigning parking zone 15 to hub F1 incurs a repositioning cost of 72.
Assigning parking zone 16 to hub F1 incurs a repositioning cost of 762.
Assigning parking zone 17 to hub F1 incurs a repositioning cost of 714.
Assigning parking zone 18 to hub F1 incurs a repositioning cost of 416.
Assigning parking zone 19 to hub F1 incurs a repositioning cost of 388.
Assigning parking zone 0 to hub F2 incurs a repositioning cost of 938.
Assigning parking zone 1 to hub F2 incurs a repositioning cost of 536.
Assigning parking zone 2 to hub F2 incurs a repositioning cost of 380.
Assigning parking zone 3 to hub F2 incurs a repositioning cost of 804.
Assigning parking zone 4 to hub F2 incurs a repositioning cost of 444.
Assigning parking zone 5 to hub F2 incurs a repositioning cost of 953.
Assigning parking zone 6 to hub F2 incurs a repositioning cost of 338.
Assigning parking zone 7 to hub F2 incurs a repositioning cost of 226.
Assigning parking zone 8 to hub F2 incurs a repositioning cost of 905.
Assigning parking zone 9 to hub F2 incurs a repositioning cost of 307.
Assigning parking zone 10 to hub F2 incurs a repositioning cost of 374.
Assigning parking zone 11 to hub F2 incurs a repositioning cost of 897.
Assigning parking zone 12 to hub F2 incurs a repositioning cost of 173.
Assigning parking zone 13 to hub F2 incurs a repositioning cost of 88.
Assigning parking zone 14 to hub F2 incurs a repositioning cost of 465.
Assigning parking zone 15 to hub F2 incurs a repositioning cost of 907.
Assigning parking zone 16 to hub F2 incurs a repositioning cost of 900.
Assigning parking zone 17 to hub F2 incurs a repositioning cost of 119.
Assigning parking zone 18 to hub F2 incurs a repositioning cost of 817.
Assigning parking zone 19 to hub F2 incurs a repositioning cost of 308.
Assigning parking zone 0 to hub F3 incurs a repositioning cost of 663.
Assigning parking zone 1 to hub F3 incurs a repositioning cost of 162.
Assigning parking zone 2 to hub F3 incurs a repositioning cost of 613.
Assigning parking zone 3 to hub F3 incurs a repositioning cost of 928.
Assigning parking zone 4 to hub F3 incurs a repositioning cost of 183.
Assigning parking zone 5 to hub F3 incurs a repositioning cost of 638.
Assigning parking zone 6 to hub F3 incurs a repositioning cost of 828.
Assigning parking zone 7 to hub F3 incurs a repositioning cost of 808.
Assigning parking zone 8 to hub F3 incurs a repositioning cost of 330.
Assigning parking zone 9 to hub F3 incurs a repositioning cost of 457.
Assigning parking zone 10 to hub F3 incurs a repositioning cost of 175.
Assigning parking zone 11 to hub F3 incurs a repositioning cost of 997.
Assigning parking zone 12 to hub F3 incurs a repositioning cost of 673.
Assigning parking zone 13 to hub F3 incurs a repositioning cost of 793.
Assigning parking zone 14 to hub F3 incurs a repositioning cost of 228.
Assigning parking zone 15 to hub F3 incurs a repositioning cost of 886.
Assigning parking zone 16 to hub F3 incurs a repositioning cost of 293.
Assigning parking zone 17 to hub F3 incurs a repositioning cost of 854.
Assigning parking zone 18 to hub F3 incurs a repositioning cost of 933.
Assigning parking zone 19 to hub F3 incurs a repositioning cost of 413.
Assigning parking zone 0 to hub F4 incurs a repositioning cost of 742.
Assigning parking zone 1 to hub F4 incurs a repositioning cost of 818.
Assigning parking zone 2 to hub F4 incurs a repositioning cost of 465.
Assigning parking zone 3 to hub F4 incurs a repositioning cost of 703.
Assigning parking zone 4 to hub F4 incurs a repositioning cost of 934.
Assigning parking zone 5 to hub F4 incurs a repositioning cost of 873.
Assigning parking zone 6 to hub F4 incurs a repositioning cost of 603.
Assigning parking zone 7 to hub F4 incurs a repositioning cost of 802.
Assigning parking zone 8 to hub F4 incurs a repositioning cost of 946.
Assigning parking zone 9 to hub F4 incurs a repositioning cost of 297.
Assigning parking zone 10 to hub F4 incurs a repositioning cost of 837.
Assigning parking zone 11 to hub F4 incurs a repositioning cost of 492.
Assigning parking zone 12 to hub F4 incurs a repositioning cost of 145.
Assigning parking zone 13 to hub F4 incurs a repositioning cost of 285.
Assigning parking zone 14 to hub F4 incurs a repositioning cost of 219.
Assigning parking zone 15 to hub F4 incurs a repositioning cost of 543.
Assigning parking zone 16 to hub F4 incurs a repositioning cost of 313.
Assigning parking zone 17 to hub F4 incurs a repositioning cost of 608.
Assigning parking zone 18 to hub F4 incurs a repositioning cost of 56.
Assigning parking zone 19 to hub F4 incurs a repositioning cost of 229.
Assigning parking zone 0 to hub F5 incurs a repositioning cost of 858.
Assigning parking zone 1 to hub F5 incurs a repositioning cost of 369.
Assigning parking zone 2 to hub F5 incurs a repositioning cost of 637.
Assigning parking zone 3 to hub F5 incurs a repositioning cost of 112.
Assigning parking zone 4 to hub F5 incurs a repositioning cost of 612.
Assigning parking zone 5 to hub F5 incurs a repositioning cost of 610.
Assigning parking zone 6 to hub F5 incurs a repositioning cost of 896.
Assigning parking zone 7 to hub F5 incurs a repositioning cost of 770.
Assigning parking zone 8 to hub F5 incurs a repositioning cost of 920.
Assigning parking zone 9 to hub F5 incurs a repositioning cost of 268.
Assigning parking zone 10 to hub F5 incurs a repositioning cost of 470.
Assigning parking zone 11 to hub F5 incurs a repositioning cost of 219.
Assigning parking zone 12 to hub F5 incurs a repositioning cost of 179.
Assigning parking zone 13 to hub F5 incurs a repositioning cost of 999.
Assigning parking zone 14 to hub F5 incurs a repositioning cost of 632.
Assigning parking zone 15 to hub F5 incurs a repositioning cost of 887.
Assigning parking zone 16 to hub F5 incurs a repositioning cost of 865.
Assigning parking zone 17 to hub F5 incurs a repositioning cost of 264.
Assigning parking zone 18 to hub F5 incurs a repositioning cost of 47.
Assigning parking zone 19 to hub F5 incurs a repositioning cost of 797.
Assigning parking zone 0 to hub F6 incurs a repositioning cost of 652.
Assigning parking zone 1 to hub F6 incurs a repositioning cost of 266.
Assigning parking zone 2 to hub F6 incurs a repositioning cost of 122.
Assigning parking zone 3 to hub F6 incurs a repositioning cost of 479.
Assigning parking zone 4 to hub F6 incurs a repositioning cost of 579.
Assigning parking zone 5 to hub F6 incurs a repositioning cost of 156.
Assigning parking zone 6 to hub F6 incurs a repositioning cost of 535.
Assigning parking zone 7 to hub F6 incurs a repositioning cost of 102.
Assigning parking zone 8 to hub F6 incurs a repositioning cost of 585.
Assigning parking zone 9 to hub F6 incurs a repositioning cost of 959.
Assigning parking zone 10 to hub F6 incurs a repositioning cost of 240.
Assigning parking zone 11 to hub F6 incurs a repositioning cost of 10.
Assigning parking zone 12 to hub F6 incurs a repositioning cost of 946.
Assigning parking zone 13 to hub F6 incurs a repositioning cost of 205.
Assigning parking zone 14 to hub F6 incurs a repositioning cost of 933.
Assigning parking zone 15 to hub F6 incurs a repositioning cost of 153.
Assigning parking zone 16 to hub F6 incurs a repositioning cost of 977.
Assigning parking zone 17 to hub F6 incurs a repositioning cost of 77.
Assigning parking zone 18 to hub F6 incurs a repositioning cost of 118.
Assigning parking zone 19 to hub F6 incurs a repositioning cost of 678.
Assigning parking zone 0 to hub F7 incurs a repositioning cost of 931.
Assigning parking zone 1 to hub F7 incurs a repositioning cost of 80.
Assigning parking zone 2 to hub F7 incurs a repositioning cost of 427.
Assigning parking zone 3 to hub F7 incurs a repositioning cost of 78.
Assigning parking zone 4 to hub F7 incurs a repositioning cost of 924.
Assigning parking zone 5 to hub F7 incurs a repositioning cost of 860.
Assigning parking zone 6 to hub F7 incurs a repositioning cost of 477.
Assigning parking zone 7 to hub F7 incurs a repositioning cost of 984.
Assigning parking zone 8 to hub F7 incurs a repositioning cost of 269.
Assigning parking zone 9 to hub F7 incurs a repositioning cost of 295.
Assigning parking zone 10 to hub F7 incurs a repositioning cost of 154.
Assigning parking zone 11 to hub F7 incurs a repositioning cost of 344.
Assigning parking zone 12 to hub F7 incurs a repositioning cost of 196.
Assigning parking zone 13 to hub F7 incurs a repositioning cost of 927.
Assigning parking zone 14 to hub F7 incurs a repositioning cost of 460.
Assigning parking zone 15 to hub F7 incurs a repositioning cost of 552.
Assigning parking zone 16 to hub F7 incurs a repositioning cost of 500.
Assigning parking zone 17 to hub F7 incurs a repositioning cost of 989.
Assigning parking zone 18 to hub F7 incurs a repositioning cost of 756.
Assigning parking zone 19 to hub F7 incurs a repositioning cost of 847.
Assigning parking zone 0 to hub F8 incurs a repositioning cost of 730.
Assigning parking zone 1 to hub F8 incurs a repositioning cost of 601.
Assigning parking zone 2 to hub F8 incurs a repositioning cost of 876.
Assigning parking zone 3 to hub F8 incurs a repositioning cost of 0.
Assigning parking zone 4 to hub F8 incurs a repositioning cost of 90.
Assigning parking zone 5 to hub F8 incurs a repositioning cost of 897.
Assigning parking zone 6 to hub F8 incurs a repositioning cost of 432.
Assigning parking zone 7 to hub F8 incurs a repositioning cost of 280.
Assigning parking zone 8 to hub F8 incurs a repositioning cost of 252.
Assigning parking zone 9 to hub F8 incurs a repositioning cost of 478.
Assigning parking zone 10 to hub F8 incurs a repositioning cost of 169.
Assigning parking zone 11 to hub F8 incurs a repositioning cost of 541.
Assigning parking zone 12 to hub F8 incurs a repositioning cost of 154.
Assigning parking zone 13 to hub F8 incurs a repositioning cost of 664.
Assigning parking zone 14 to hub F8 incurs a repositioning cost of 497.
Assigning parking zone 15 to hub F8 incurs a repositioning cost of 534.
Assigning parking zone 16 to hub F8 incurs a repositioning cost of 211.
Assigning parking zone 17 to hub F8 incurs a repositioning cost of 585.
Assigning parking zone 18 to hub F8 incurs a repositioning cost of 877.
Assigning parking zone 19 to hub F8 incurs a repositioning cost of 739.
The aim is to keep the combined enabling fees and repositioning costs as low as possible when choosing which hubs to enable and how to assign each zone.

Oh, and when you send the answer back, just follow this simple JSON shape so I can read it easily:

{
  ""solution"": {
    ""selected"": [<site_to_open>, <site_to_open>, ...],
    ""assignments"": [<assigned_site>, <assigned_site>, ...]
  }
}

This only sketches the format I'm expecting: ""selected"" is where you list the sites you decide to enable, and ""assignments"" is a list (one entry per parking zone, in the same order as the instance) saying which enabled site that zone uses. Pretty informal — think of it like filling out a short form, not a full report.

Please use the exact identifiers from the instance input when you fill those placeholders — do not rename them or invent new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'opening_costs': [2000, 2000, 2000, 2000, 2000, 2000, 2000, 2000], 'connection_costs': [[988, 766, 589, 867, 636, 402, 478, 991, 883, 880, 56, 359, 577, 820, 758, 72, 762, 714, 416, 388], [938, 536, 380, 804, 444, 953, 338, 226, 905, 307, 374, 897, 173, 88, 465, 907, 900, 119, 817, 308], [663, 162, 613, 928, 183, 638, 828, 808, 330, 457, 175, 997, 673, 793, 228, 886, 293, 854, 933, 413], [742, 818, 465, 703, 934, 873, 603, 802, 946, 297, 837, 492, 145, 285, 219, 543, 313, 608, 56, 229], [858, 369, 637, 112, 612, 610, 896, 770, 920, 268, 470, 219, 179, 999, 632, 887, 865, 264, 47, 797], [652, 266, 122, 479, 579, 156, 535, 102, 585, 959, 240, 10, 946, 205, 933, 153, 977, 77, 118, 678], [931, 80, 427, 78, 924, 860, 477, 984, 269, 295, 154, 344, 196, 927, 460, 552, 500, 989, 756, 847], [730, 601, 876, 0, 90, 897, 432, 280, 252, 478, 169, 541, 154, 664, 497, 534, 211, 585, 877, 739]], 'objective': 8822.0}","{'open_facilities': [5, 7], 'assignments': [5, 5, 5, 7, 7, 5, 7, 5, 7, 7, 7, 5, 7, 5, 7, 5, 7, 5, 5, 5]}",8822.0,"{'problem_type': 'UFLP', 'num_facilities': 8, 'num_customers': 20, 'facilities': [{'id': 'F1', 'opening_cost': 2000}, {'id': 'F2', 'opening_cost': 2000}, {'id': 'F3', 'opening_cost': 2000}, {'id': 'F4', 'opening_cost': 2000}, {'id': 'F5', 'opening_cost': 2000}, {'id': 'F6', 'opening_cost': 2000}, {'id': 'F7', 'opening_cost': 2000}, {'id': 'F8', 'opening_cost': 2000}], 'customers': [{'id': 0}, {'id': 1}, {'id': 2}, {'id': 3}, {'id': 4}, {'id': 5}, {'id': 6}, {'id': 7}, {'id': 8}, {'id': 9}, {'id': 10}, {'id': 11}, {'id': 12}, {'id': 13}, {'id': 14}, {'id': 15}, {'id': 16}, {'id': 17}, {'id': 18}, {'id': 19}], 'connection_costs': [{'facility': 'F1', 'customer': 0, 'cost': 988}, {'facility': 'F1', 'customer': 1, 'cost': 766}, {'facility': 'F1', 'customer': 2, 'cost': 589}, {'facility': 'F1', 'customer': 3, 'cost': 867}, {'facility': 'F1', 'customer': 4, 'cost': 636}, {'facility': 'F1', 'customer': 5, 'cost': 402}, {'facility': 'F1', 'customer': 6, 'cost': 478}, {'facility': 'F1', 'customer': 7, 'cost': 991}, {'facility': 'F1', 'customer': 8, 'cost': 883}, {'facility': 'F1', 'customer': 9, 'cost': 880}, {'facility': 'F1', 'customer': 10, 'cost': 56}, {'facility': 'F1', 'customer': 11, 'cost': 359}, {'facility': 'F1', 'customer': 12, 'cost': 577}, {'facility': 'F1', 'customer': 13, 'cost': 820}, {'facility': 'F1', 'customer': 14, 'cost': 758}, {'facility': 'F1', 'customer': 15, 'cost': 72}, {'facility': 'F1', 'customer': 16, 'cost': 762}, {'facility': 'F1', 'customer': 17, 'cost': 714}, {'facility': 'F1', 'customer': 18, 'cost': 416}, {'facility': 'F1', 'customer': 19, 'cost': 388}, {'facility': 'F2', 'customer': 0, 'cost': 938}, {'facility': 'F2', 'customer': 1, 'cost': 536}, {'facility': 'F2', 'customer': 2, 'cost': 380}, {'facility': 'F2', 'customer': 3, 'cost': 804}, {'facility': 'F2', 'customer': 4, 'cost': 444}, {'facility': 'F2', 'customer': 5, 'cost': 953}, {'facility': 'F2', 'customer': 6, 'cost': 338}, {'facility': 'F2', 'customer': 7, 'cost': 226}, {'facility': 'F2', 'customer': 8, 'cost': 905}, {'facility': 'F2', 'customer': 9, 'cost': 307}, {'facility': 'F2', 'customer': 10, 'cost': 374}, {'facility': 'F2', 'customer': 11, 'cost': 897}, {'facility': 'F2', 'customer': 12, 'cost': 173}, {'facility': 'F2', 'customer': 13, 'cost': 88}, {'facility': 'F2', 'customer': 14, 'cost': 465}, {'facility': 'F2', 'customer': 15, 'cost': 907}, {'facility': 'F2', 'customer': 16, 'cost': 900}, {'facility': 'F2', 'customer': 17, 'cost': 119}, {'facility': 'F2', 'customer': 18, 'cost': 817}, {'facility': 'F2', 'customer': 19, 'cost': 308}, {'facility': 'F3', 'customer': 0, 'cost': 663}, {'facility': 'F3', 'customer': 1, 'cost': 162}, {'facility': 'F3', 'customer': 2, 'cost': 613}, {'facility': 'F3', 'customer': 3, 'cost': 928}, {'facility': 'F3', 'customer': 4, 'cost': 183}, {'facility': 'F3', 'customer': 5, 'cost': 638}, {'facility': 'F3', 'customer': 6, 'cost': 828}, {'facility': 'F3', 'customer': 7, 'cost': 808}, {'facility': 'F3', 'customer': 8, 'cost': 330}, {'facility': 'F3', 'customer': 9, 'cost': 457}, {'facility': 'F3', 'customer': 10, 'cost': 175}, {'facility': 'F3', 'customer': 11, 'cost': 997}, {'facility': 'F3', 'customer': 12, 'cost': 673}, {'facility': 'F3', 'customer': 13, 'cost': 793}, {'facility': 'F3', 'customer': 14, 'cost': 228}, {'facility': 'F3', 'customer': 15, 'cost': 886}, {'facility': 'F3', 'customer': 16, 'cost': 293}, {'facility': 'F3', 'customer': 17, 'cost': 854}, {'facility': 'F3', 'customer': 18, 'cost': 933}, {'facility': 'F3', 'customer': 19, 'cost': 413}, {'facility': 'F4', 'customer': 0, 'cost': 742}, {'facility': 'F4', 'customer': 1, 'cost': 818}, {'facility': 'F4', 'customer': 2, 'cost': 465}, {'facility': 'F4', 'customer': 3, 'cost': 703}, {'facility': 'F4', 'customer': 4, 'cost': 934}, {'facility': 'F4', 'customer': 5, 'cost': 873}, {'facility': 'F4', 'customer': 6, 'cost': 603}, {'facility': 'F4', 'customer': 7, 'cost': 802}, {'facility': 'F4', 'customer': 8, 'cost': 946}, {'facility': 'F4', 'customer': 9, 'cost': 297}, {'facility': 'F4', 'customer': 10, 'cost': 837}, {'facility': 'F4', 'customer': 11, 'cost': 492}, {'facility': 'F4', 'customer': 12, 'cost': 145}, {'facility': 'F4', 'customer': 13, 'cost': 285}, {'facility': 'F4', 'customer': 14, 'cost': 219}, {'facility': 'F4', 'customer': 15, 'cost': 543}, {'facility': 'F4', 'customer': 16, 'cost': 313}, {'facility': 'F4', 'customer': 17, 'cost': 608}, {'facility': 'F4', 'customer': 18, 'cost': 56}, {'facility': 'F4', 'customer': 19, 'cost': 229}, {'facility': 'F5', 'customer': 0, 'cost': 858}, {'facility': 'F5', 'customer': 1, 'cost': 369}, {'facility': 'F5', 'customer': 2, 'cost': 637}, {'facility': 'F5', 'customer': 3, 'cost': 112}, {'facility': 'F5', 'customer': 4, 'cost': 612}, {'facility': 'F5', 'customer': 5, 'cost': 610}, {'facility': 'F5', 'customer': 6, 'cost': 896}, {'facility': 'F5', 'customer': 7, 'cost': 770}, {'facility': 'F5', 'customer': 8, 'cost': 920}, {'facility': 'F5', 'customer': 9, 'cost': 268}, {'facility': 'F5', 'customer': 10, 'cost': 470}, {'facility': 'F5', 'customer': 11, 'cost': 219}, {'facility': 'F5', 'customer': 12, 'cost': 179}, {'facility': 'F5', 'customer': 13, 'cost': 999}, {'facility': 'F5', 'customer': 14, 'cost': 632}, {'facility': 'F5', 'customer': 15, 'cost': 887}, {'facility': 'F5', 'customer': 16, 'cost': 865}, {'facility': 'F5', 'customer': 17, 'cost': 264}, {'facility': 'F5', 'customer': 18, 'cost': 47}, {'facility': 'F5', 'customer': 19, 'cost': 797}, {'facility': 'F6', 'customer': 0, 'cost': 652}, {'facility': 'F6', 'customer': 1, 'cost': 266}, {'facility': 'F6', 'customer': 2, 'cost': 122}, {'facility': 'F6', 'customer': 3, 'cost': 479}, {'facility': 'F6', 'customer': 4, 'cost': 579}, {'facility': 'F6', 'customer': 5, 'cost': 156}, {'facility': 'F6', 'customer': 6, 'cost': 535}, {'facility': 'F6', 'customer': 7, 'cost': 102}, {'facility': 'F6', 'customer': 8, 'cost': 585}, {'facility': 'F6', 'customer': 9, 'cost': 959}, {'facility': 'F6', 'customer': 10, 'cost': 240}, {'facility': 'F6', 'customer': 11, 'cost': 10}, {'facility': 'F6', 'customer': 12, 'cost': 946}, {'facility': 'F6', 'customer': 13, 'cost': 205}, {'facility': 'F6', 'customer': 14, 'cost': 933}, {'facility': 'F6', 'customer': 15, 'cost': 153}, {'facility': 'F6', 'customer': 16, 'cost': 977}, {'facility': 'F6', 'customer': 17, 'cost': 77}, {'facility': 'F6', 'customer': 18, 'cost': 118}, {'facility': 'F6', 'customer': 19, 'cost': 678}, {'facility': 'F7', 'customer': 0, 'cost': 931}, {'facility': 'F7', 'customer': 1, 'cost': 80}, {'facility': 'F7', 'customer': 2, 'cost': 427}, {'facility': 'F7', 'customer': 3, 'cost': 78}, {'facility': 'F7', 'customer': 4, 'cost': 924}, {'facility': 'F7', 'customer': 5, 'cost': 860}, {'facility': 'F7', 'customer': 6, 'cost': 477}, {'facility': 'F7', 'customer': 7, 'cost': 984}, {'facility': 'F7', 'customer': 8, 'cost': 269}, {'facility': 'F7', 'customer': 9, 'cost': 295}, {'facility': 'F7', 'customer': 10, 'cost': 154}, {'facility': 'F7', 'customer': 11, 'cost': 344}, {'facility': 'F7', 'customer': 12, 'cost': 196}, {'facility': 'F7', 'customer': 13, 'cost': 927}, {'facility': 'F7', 'customer': 14, 'cost': 460}, {'facility': 'F7', 'customer': 15, 'cost': 552}, {'facility': 'F7', 'customer': 16, 'cost': 500}, {'facility': 'F7', 'customer': 17, 'cost': 989}, {'facility': 'F7', 'customer': 18, 'cost': 756}, {'facility': 'F7', 'customer': 19, 'cost': 847}, {'facility': 'F8', 'customer': 0, 'cost': 730}, {'facility': 'F8', 'customer': 1, 'cost': 601}, {'facility': 'F8', 'customer': 2, 'cost': 876}, {'facility': 'F8', 'customer': 3, 'cost': 0}, {'facility': 'F8', 'customer': 4, 'cost': 90}, {'facility': 'F8', 'customer': 5, 'cost': 897}, {'facility': 'F8', 'customer': 6, 'cost': 432}, {'facility': 'F8', 'customer': 7, 'cost': 280}, {'facility': 'F8', 'customer': 8, 'cost': 252}, {'facility': 'F8', 'customer': 9, 'cost': 478}, {'facility': 'F8', 'customer': 10, 'cost': 169}, {'facility': 'F8', 'customer': 11, 'cost': 541}, {'facility': 'F8', 'customer': 12, 'cost': 154}, {'facility': 'F8', 'customer': 13, 'cost': 664}, {'facility': 'F8', 'customer': 14, 'cost': 497}, {'facility': 'F8', 'customer': 15, 'cost': 534}, {'facility': 'F8', 'customer': 16, 'cost': 211}, {'facility': 'F8', 'customer': 17, 'cost': 585}, {'facility': 'F8', 'customer': 18, 'cost': 877}, {'facility': 'F8', 'customer': 19, 'cost': 739}], 'objective': 8822.0}","{'selected': ['F6', 'F8'], 'assignments': ['F6', 'F6', 'F6', 'F8', 'F8', 'F6', 'F8', 'F6', 'F8', 'F8', 'F8', 'F6', 'F8', 'F6', 'F8', 'F6', 'F8', 'F6', 'F6', 'F6']}",48,nl,0
UFLP,UFLP,"In our town’s relief planning, the team will choose which clothing distribution centers to activate and then allocate each shelter to one of those active centers. It’s important that every shelter is assigned to exactly one open center — no shelter can be left out or be assigned to multiple centers. The goal is to minimize the total outlay: sum the opening costs of the centers that are opened and the transportation costs for all shelter assignments. The concrete numbers and locations are listed below.

There are 9 candidate centers and 18 shelters; the opening costs for the centers are 1375, 1880, 1379, 1550, 1295, 1839, 1888, 1561, 1761.
Candidate center F1 has an opening cost of 1375.
Candidate center F2 has an opening cost of 1880.
Candidate center F3 has an opening cost of 1379.
Candidate center F4 has an opening cost of 1550.
Candidate center F5 has an opening cost of 1295.
Candidate center F6 has an opening cost of 1839.
Candidate center F7 has an opening cost of 1888.
Candidate center F8 has an opening cost of 1561.
Candidate center F9 has an opening cost of 1761.
If shelter A is served from center F1, the transportation cost is 79.
If shelter B is served from center F1, the transportation cost is 311.
If shelter C is served from center F1, the transportation cost is 660.
If shelter D is served from center F1, the transportation cost is 532.
If shelter E is served from center F1, the transportation cost is 249.
If shelter F is served from center F1, the transportation cost is 117.
If shelter G is served from center F1, the transportation cost is 420.
If shelter H is served from center F1, the transportation cost is 554.
If shelter I is served from center F1, the transportation cost is 238.
If shelter J is served from center F1, the transportation cost is 355.
If shelter K is served from center F1, the transportation cost is 186.
If shelter L is served from center F1, the transportation cost is 903.
If shelter M is served from center F1, the transportation cost is 365.
If shelter N is served from center F1, the transportation cost is 89.
If shelter O is served from center F1, the transportation cost is 636.
If shelter P is served from center F1, the transportation cost is 169.
If shelter Q is served from center F1, the transportation cost is 209.
If shelter R is served from center F1, the transportation cost is 594.
If shelter A is served from center F2, the transportation cost is 365.
If shelter B is served from center F2, the transportation cost is 87.
If shelter C is served from center F2, the transportation cost is 626.
If shelter D is served from center F2, the transportation cost is 565.
If shelter E is served from center F2, the transportation cost is 671.
If shelter F is served from center F2, the transportation cost is 284.
If shelter G is served from center F2, the transportation cost is 920.
If shelter H is served from center F2, the transportation cost is 870.
If shelter I is served from center F2, the transportation cost is 977.
If shelter J is served from center F2, the transportation cost is 570.
If shelter K is served from center F2, the transportation cost is 687.
If shelter L is served from center F2, the transportation cost is 970.
If shelter M is served from center F2, the transportation cost is 506.
If shelter N is served from center F2, the transportation cost is 371.
If shelter O is served from center F2, the transportation cost is 697.
If shelter P is served from center F2, the transportation cost is 735.
If shelter Q is served from center F2, the transportation cost is 202.
If shelter R is served from center F2, the transportation cost is 328.
If shelter A is served from center F3, the transportation cost is 168.
If shelter B is served from center F3, the transportation cost is 143.
If shelter C is served from center F3, the transportation cost is 504.
If shelter D is served from center F3, the transportation cost is 603.
If shelter E is served from center F3, the transportation cost is 200.
If shelter F is served from center F3, the transportation cost is 880.
If shelter G is served from center F3, the transportation cost is 453.
If shelter H is served from center F3, the transportation cost is 575.
If shelter I is served from center F3, the transportation cost is 694.
If shelter J is served from center F3, the transportation cost is 565.
If shelter K is served from center F3, the transportation cost is 895.
If shelter L is served from center F3, the transportation cost is 432.
If shelter M is served from center F3, the transportation cost is 228.
If shelter N is served from center F3, the transportation cost is 171.
If shelter O is served from center F3, the transportation cost is 838.
If shelter P is served from center F3, the transportation cost is 628.
If shelter Q is served from center F3, the transportation cost is 327.
If shelter R is served from center F3, the transportation cost is 473.
If shelter A is served from center F4, the transportation cost is 653.
If shelter B is served from center F4, the transportation cost is 421.
If shelter C is served from center F4, the transportation cost is 558.
If shelter D is served from center F4, the transportation cost is 448.
If shelter E is served from center F4, the transportation cost is 429.
If shelter F is served from center F4, the transportation cost is 568.
If shelter G is served from center F4, the transportation cost is 1.
If shelter H is served from center F4, the transportation cost is 771.
If shelter I is served from center F4, the transportation cost is 985.
If shelter J is served from center F4, the transportation cost is 197.
If shelter K is served from center F4, the transportation cost is 781.
If shelter L is served from center F4, the transportation cost is 476.
If shelter M is served from center F4, the transportation cost is 627.
If shelter N is served from center F4, the transportation cost is 787.
If shelter O is served from center F4, the transportation cost is 713.
If shelter P is served from center F4, the transportation cost is 970.
If shelter Q is served from center F4, the transportation cost is 47.
If shelter R is served from center F4, the transportation cost is 625.
If shelter A is served from center F5, the transportation cost is 231.
If shelter B is served from center F5, the transportation cost is 720.
If shelter C is served from center F5, the transportation cost is 619.
If shelter D is served from center F5, the transportation cost is 821.
If shelter E is served from center F5, the transportation cost is 294.
If shelter F is served from center F5, the transportation cost is 601.
If shelter G is served from center F5, the transportation cost is 934.
If shelter H is served from center F5, the transportation cost is 573.
If shelter I is served from center F5, the transportation cost is 326.
If shelter J is served from center F5, the transportation cost is 892.
If shelter K is served from center F5, the transportation cost is 539.
If shelter L is served from center F5, the transportation cost is 256.
If shelter M is served from center F5, the transportation cost is 498.
If shelter N is served from center F5, the transportation cost is 341.
If shelter O is served from center F5, the transportation cost is 381.
If shelter P is served from center F5, the transportation cost is 546.
If shelter Q is served from center F5, the transportation cost is 4.
If shelter R is served from center F5, the transportation cost is 634.
If shelter A is served from center F6, the transportation cost is 769.
If shelter B is served from center F6, the transportation cost is 279.
If shelter C is served from center F6, the transportation cost is 650.
If shelter D is served from center F6, the transportation cost is 466.
If shelter E is served from center F6, the transportation cost is 409.
If shelter F is served from center F6, the transportation cost is 563.
If shelter G is served from center F6, the transportation cost is 767.
If shelter H is served from center F6, the transportation cost is 292.
If shelter I is served from center F6, the transportation cost is 820.
If shelter J is served from center F6, the transportation cost is 962.
If shelter K is served from center F6, the transportation cost is 604.
If shelter L is served from center F6, the transportation cost is 447.
If shelter M is served from center F6, the transportation cost is 652.
If shelter N is served from center F6, the transportation cost is 437.
If shelter O is served from center F6, the transportation cost is 801.
If shelter P is served from center F6, the transportation cost is 8.
If shelter Q is served from center F6, the transportation cost is 185.
If shelter R is served from center F6, the transportation cost is 718.
If shelter A is served from center F7, the transportation cost is 17.
If shelter B is served from center F7, the transportation cost is 918.
If shelter C is served from center F7, the transportation cost is 700.
If shelter D is served from center F7, the transportation cost is 407.
If shelter E is served from center F7, the transportation cost is 534.
If shelter F is served from center F7, the transportation cost is 376.
If shelter G is served from center F7, the transportation cost is 231.
If shelter H is served from center F7, the transportation cost is 925.
If shelter I is served from center F7, the transportation cost is 387.
If shelter J is served from center F7, the transportation cost is 858.
If shelter K is served from center F7, the transportation cost is 567.
If shelter L is served from center F7, the transportation cost is 561.
If shelter M is served from center F7, the transportation cost is 824.
If shelter N is served from center F7, the transportation cost is 508.
If shelter O is served from center F7, the transportation cost is 882.
If shelter P is served from center F7, the transportation cost is 28.
If shelter Q is served from center F7, the transportation cost is 994.
If shelter R is served from center F7, the transportation cost is 226.
If shelter A is served from center F8, the transportation cost is 750.
If shelter B is served from center F8, the transportation cost is 165.
If shelter C is served from center F8, the transportation cost is 177.
If shelter D is served from center F8, the transportation cost is 154.
If shelter E is served from center F8, the transportation cost is 717.
If shelter F is served from center F8, the transportation cost is 615.
If shelter G is served from center F8, the transportation cost is 179.
If shelter H is served from center F8, the transportation cost is 560.
If shelter I is served from center F8, the transportation cost is 169.
If shelter J is served from center F8, the transportation cost is 530.
If shelter K is served from center F8, the transportation cost is 340.
If shelter L is served from center F8, the transportation cost is 345.
If shelter M is served from center F8, the transportation cost is 891.
If shelter N is served from center F8, the transportation cost is 664.
If shelter O is served from center F8, the transportation cost is 215.
If shelter P is served from center F8, the transportation cost is 497.
If shelter Q is served from center F8, the transportation cost is 606.
If shelter R is served from center F8, the transportation cost is 338.
If shelter A is served from center F9, the transportation cost is 701.
If shelter B is served from center F9, the transportation cost is 56.
If shelter C is served from center F9, the transportation cost is 951.
If shelter D is served from center F9, the transportation cost is 742.
If shelter E is served from center F9, the transportation cost is 590.
If shelter F is served from center F9, the transportation cost is 932.
If shelter G is served from center F9, the transportation cost is 257.
If shelter H is served from center F9, the transportation cost is 104.
If shelter I is served from center F9, the transportation cost is 130.
If shelter J is served from center F9, the transportation cost is 181.
If shelter K is served from center F9, the transportation cost is 277.
If shelter L is served from center F9, the transportation cost is 798.
If shelter M is served from center F9, the transportation cost is 444.
If shelter N is served from center F9, the transportation cost is 906.
If shelter O is served from center F9, the transportation cost is 187.
If shelter P is served from center F9, the transportation cost is 980.
If shelter Q is served from center F9, the transportation cost is 994.
If shelter R is served from center F9, the transportation cost is 284.
The team will use these entries to evaluate and then minimize the combined opening and transportation costs.

Also, please send your answer using a simple JSON shape so it's easy to read and check. Here's the structure I expect:

{
  ""solution"": {
    ""selected"": [<site_to_open>, <site_to_open>, ...],
    ""assignments"": [<chosen_open_site>, <chosen_open_site>, ...]
  }
}

""selected"" is where you list which distribution centers you decide to activate. ""assignments"" is a list that, for each shelter in order, names the open center that shelter will use. Think of the JSON as a little form — a sketch of the expected shape, not the actual final choices.

One more thing: use the exact identifiers from the instance input — do not rename them or invent new labels. 
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'opening_costs': [1375, 1880, 1379, 1550, 1295, 1839, 1888, 1561, 1761], 'connection_costs': [[79, 311, 660, 532, 249, 117, 420, 554, 238, 355, 186, 903, 365, 89, 636, 169, 209, 594], [365, 87, 626, 565, 671, 284, 920, 870, 977, 570, 687, 970, 506, 371, 697, 735, 202, 328], [168, 143, 504, 603, 200, 880, 453, 575, 694, 565, 895, 432, 228, 171, 838, 628, 327, 473], [653, 421, 558, 448, 429, 568, 1, 771, 985, 197, 781, 476, 627, 787, 713, 970, 47, 625], [231, 720, 619, 821, 294, 601, 934, 573, 326, 892, 539, 256, 498, 341, 381, 546, 4, 634], [769, 279, 650, 466, 409, 563, 767, 292, 820, 962, 604, 447, 652, 437, 801, 8, 185, 718], [17, 918, 700, 407, 534, 376, 231, 925, 387, 858, 567, 561, 824, 508, 882, 28, 994, 226], [750, 165, 177, 154, 717, 615, 179, 560, 169, 530, 340, 345, 891, 664, 215, 497, 606, 338], [701, 56, 951, 742, 590, 932, 257, 104, 130, 181, 277, 798, 444, 906, 187, 980, 994, 284]], 'objective': 7050.0}","{'open_facilities': [0, 7], 'assignments': [0, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7]}",7050.0,"{'problem_type': 'UFLP', 'num_facilities': 9, 'num_customers': 18, 'facilities': [{'id': 'F1', 'opening_cost': 1375}, {'id': 'F2', 'opening_cost': 1880}, {'id': 'F3', 'opening_cost': 1379}, {'id': 'F4', 'opening_cost': 1550}, {'id': 'F5', 'opening_cost': 1295}, {'id': 'F6', 'opening_cost': 1839}, {'id': 'F7', 'opening_cost': 1888}, {'id': 'F8', 'opening_cost': 1561}, {'id': 'F9', 'opening_cost': 1761}], 'customers': [{'id': 'A'}, {'id': 'B'}, {'id': 'C'}, {'id': 'D'}, {'id': 'E'}, {'id': 'F'}, {'id': 'G'}, {'id': 'H'}, {'id': 'I'}, {'id': 'J'}, {'id': 'K'}, {'id': 'L'}, {'id': 'M'}, {'id': 'N'}, {'id': 'O'}, {'id': 'P'}, {'id': 'Q'}, {'id': 'R'}], 'connection_costs': [{'facility': 'F1', 'customer': 'A', 'cost': 79}, {'facility': 'F1', 'customer': 'B', 'cost': 311}, {'facility': 'F1', 'customer': 'C', 'cost': 660}, {'facility': 'F1', 'customer': 'D', 'cost': 532}, {'facility': 'F1', 'customer': 'E', 'cost': 249}, {'facility': 'F1', 'customer': 'F', 'cost': 117}, {'facility': 'F1', 'customer': 'G', 'cost': 420}, {'facility': 'F1', 'customer': 'H', 'cost': 554}, {'facility': 'F1', 'customer': 'I', 'cost': 238}, {'facility': 'F1', 'customer': 'J', 'cost': 355}, {'facility': 'F1', 'customer': 'K', 'cost': 186}, {'facility': 'F1', 'customer': 'L', 'cost': 903}, {'facility': 'F1', 'customer': 'M', 'cost': 365}, {'facility': 'F1', 'customer': 'N', 'cost': 89}, {'facility': 'F1', 'customer': 'O', 'cost': 636}, {'facility': 'F1', 'customer': 'P', 'cost': 169}, {'facility': 'F1', 'customer': 'Q', 'cost': 209}, {'facility': 'F1', 'customer': 'R', 'cost': 594}, {'facility': 'F2', 'customer': 'A', 'cost': 365}, {'facility': 'F2', 'customer': 'B', 'cost': 87}, {'facility': 'F2', 'customer': 'C', 'cost': 626}, {'facility': 'F2', 'customer': 'D', 'cost': 565}, {'facility': 'F2', 'customer': 'E', 'cost': 671}, {'facility': 'F2', 'customer': 'F', 'cost': 284}, {'facility': 'F2', 'customer': 'G', 'cost': 920}, {'facility': 'F2', 'customer': 'H', 'cost': 870}, {'facility': 'F2', 'customer': 'I', 'cost': 977}, {'facility': 'F2', 'customer': 'J', 'cost': 570}, {'facility': 'F2', 'customer': 'K', 'cost': 687}, {'facility': 'F2', 'customer': 'L', 'cost': 970}, {'facility': 'F2', 'customer': 'M', 'cost': 506}, {'facility': 'F2', 'customer': 'N', 'cost': 371}, {'facility': 'F2', 'customer': 'O', 'cost': 697}, {'facility': 'F2', 'customer': 'P', 'cost': 735}, {'facility': 'F2', 'customer': 'Q', 'cost': 202}, {'facility': 'F2', 'customer': 'R', 'cost': 328}, {'facility': 'F3', 'customer': 'A', 'cost': 168}, {'facility': 'F3', 'customer': 'B', 'cost': 143}, {'facility': 'F3', 'customer': 'C', 'cost': 504}, {'facility': 'F3', 'customer': 'D', 'cost': 603}, {'facility': 'F3', 'customer': 'E', 'cost': 200}, {'facility': 'F3', 'customer': 'F', 'cost': 880}, {'facility': 'F3', 'customer': 'G', 'cost': 453}, {'facility': 'F3', 'customer': 'H', 'cost': 575}, {'facility': 'F3', 'customer': 'I', 'cost': 694}, {'facility': 'F3', 'customer': 'J', 'cost': 565}, {'facility': 'F3', 'customer': 'K', 'cost': 895}, {'facility': 'F3', 'customer': 'L', 'cost': 432}, {'facility': 'F3', 'customer': 'M', 'cost': 228}, {'facility': 'F3', 'customer': 'N', 'cost': 171}, {'facility': 'F3', 'customer': 'O', 'cost': 838}, {'facility': 'F3', 'customer': 'P', 'cost': 628}, {'facility': 'F3', 'customer': 'Q', 'cost': 327}, {'facility': 'F3', 'customer': 'R', 'cost': 473}, {'facility': 'F4', 'customer': 'A', 'cost': 653}, {'facility': 'F4', 'customer': 'B', 'cost': 421}, {'facility': 'F4', 'customer': 'C', 'cost': 558}, {'facility': 'F4', 'customer': 'D', 'cost': 448}, {'facility': 'F4', 'customer': 'E', 'cost': 429}, {'facility': 'F4', 'customer': 'F', 'cost': 568}, {'facility': 'F4', 'customer': 'G', 'cost': 1}, {'facility': 'F4', 'customer': 'H', 'cost': 771}, {'facility': 'F4', 'customer': 'I', 'cost': 985}, {'facility': 'F4', 'customer': 'J', 'cost': 197}, {'facility': 'F4', 'customer': 'K', 'cost': 781}, {'facility': 'F4', 'customer': 'L', 'cost': 476}, {'facility': 'F4', 'customer': 'M', 'cost': 627}, {'facility': 'F4', 'customer': 'N', 'cost': 787}, {'facility': 'F4', 'customer': 'O', 'cost': 713}, {'facility': 'F4', 'customer': 'P', 'cost': 970}, {'facility': 'F4', 'customer': 'Q', 'cost': 47}, {'facility': 'F4', 'customer': 'R', 'cost': 625}, {'facility': 'F5', 'customer': 'A', 'cost': 231}, {'facility': 'F5', 'customer': 'B', 'cost': 720}, {'facility': 'F5', 'customer': 'C', 'cost': 619}, {'facility': 'F5', 'customer': 'D', 'cost': 821}, {'facility': 'F5', 'customer': 'E', 'cost': 294}, {'facility': 'F5', 'customer': 'F', 'cost': 601}, {'facility': 'F5', 'customer': 'G', 'cost': 934}, {'facility': 'F5', 'customer': 'H', 'cost': 573}, {'facility': 'F5', 'customer': 'I', 'cost': 326}, {'facility': 'F5', 'customer': 'J', 'cost': 892}, {'facility': 'F5', 'customer': 'K', 'cost': 539}, {'facility': 'F5', 'customer': 'L', 'cost': 256}, {'facility': 'F5', 'customer': 'M', 'cost': 498}, {'facility': 'F5', 'customer': 'N', 'cost': 341}, {'facility': 'F5', 'customer': 'O', 'cost': 381}, {'facility': 'F5', 'customer': 'P', 'cost': 546}, {'facility': 'F5', 'customer': 'Q', 'cost': 4}, {'facility': 'F5', 'customer': 'R', 'cost': 634}, {'facility': 'F6', 'customer': 'A', 'cost': 769}, {'facility': 'F6', 'customer': 'B', 'cost': 279}, {'facility': 'F6', 'customer': 'C', 'cost': 650}, {'facility': 'F6', 'customer': 'D', 'cost': 466}, {'facility': 'F6', 'customer': 'E', 'cost': 409}, {'facility': 'F6', 'customer': 'F', 'cost': 563}, {'facility': 'F6', 'customer': 'G', 'cost': 767}, {'facility': 'F6', 'customer': 'H', 'cost': 292}, {'facility': 'F6', 'customer': 'I', 'cost': 820}, {'facility': 'F6', 'customer': 'J', 'cost': 962}, {'facility': 'F6', 'customer': 'K', 'cost': 604}, {'facility': 'F6', 'customer': 'L', 'cost': 447}, {'facility': 'F6', 'customer': 'M', 'cost': 652}, {'facility': 'F6', 'customer': 'N', 'cost': 437}, {'facility': 'F6', 'customer': 'O', 'cost': 801}, {'facility': 'F6', 'customer': 'P', 'cost': 8}, {'facility': 'F6', 'customer': 'Q', 'cost': 185}, {'facility': 'F6', 'customer': 'R', 'cost': 718}, {'facility': 'F7', 'customer': 'A', 'cost': 17}, {'facility': 'F7', 'customer': 'B', 'cost': 918}, {'facility': 'F7', 'customer': 'C', 'cost': 700}, {'facility': 'F7', 'customer': 'D', 'cost': 407}, {'facility': 'F7', 'customer': 'E', 'cost': 534}, {'facility': 'F7', 'customer': 'F', 'cost': 376}, {'facility': 'F7', 'customer': 'G', 'cost': 231}, {'facility': 'F7', 'customer': 'H', 'cost': 925}, {'facility': 'F7', 'customer': 'I', 'cost': 387}, {'facility': 'F7', 'customer': 'J', 'cost': 858}, {'facility': 'F7', 'customer': 'K', 'cost': 567}, {'facility': 'F7', 'customer': 'L', 'cost': 561}, {'facility': 'F7', 'customer': 'M', 'cost': 824}, {'facility': 'F7', 'customer': 'N', 'cost': 508}, {'facility': 'F7', 'customer': 'O', 'cost': 882}, {'facility': 'F7', 'customer': 'P', 'cost': 28}, {'facility': 'F7', 'customer': 'Q', 'cost': 994}, {'facility': 'F7', 'customer': 'R', 'cost': 226}, {'facility': 'F8', 'customer': 'A', 'cost': 750}, {'facility': 'F8', 'customer': 'B', 'cost': 165}, {'facility': 'F8', 'customer': 'C', 'cost': 177}, {'facility': 'F8', 'customer': 'D', 'cost': 154}, {'facility': 'F8', 'customer': 'E', 'cost': 717}, {'facility': 'F8', 'customer': 'F', 'cost': 615}, {'facility': 'F8', 'customer': 'G', 'cost': 179}, {'facility': 'F8', 'customer': 'H', 'cost': 560}, {'facility': 'F8', 'customer': 'I', 'cost': 169}, {'facility': 'F8', 'customer': 'J', 'cost': 530}, {'facility': 'F8', 'customer': 'K', 'cost': 340}, {'facility': 'F8', 'customer': 'L', 'cost': 345}, {'facility': 'F8', 'customer': 'M', 'cost': 891}, {'facility': 'F8', 'customer': 'N', 'cost': 664}, {'facility': 'F8', 'customer': 'O', 'cost': 215}, {'facility': 'F8', 'customer': 'P', 'cost': 497}, {'facility': 'F8', 'customer': 'Q', 'cost': 606}, {'facility': 'F8', 'customer': 'R', 'cost': 338}, {'facility': 'F9', 'customer': 'A', 'cost': 701}, {'facility': 'F9', 'customer': 'B', 'cost': 56}, {'facility': 'F9', 'customer': 'C', 'cost': 951}, {'facility': 'F9', 'customer': 'D', 'cost': 742}, {'facility': 'F9', 'customer': 'E', 'cost': 590}, {'facility': 'F9', 'customer': 'F', 'cost': 932}, {'facility': 'F9', 'customer': 'G', 'cost': 257}, {'facility': 'F9', 'customer': 'H', 'cost': 104}, {'facility': 'F9', 'customer': 'I', 'cost': 130}, {'facility': 'F9', 'customer': 'J', 'cost': 181}, {'facility': 'F9', 'customer': 'K', 'cost': 277}, {'facility': 'F9', 'customer': 'L', 'cost': 798}, {'facility': 'F9', 'customer': 'M', 'cost': 444}, {'facility': 'F9', 'customer': 'N', 'cost': 906}, {'facility': 'F9', 'customer': 'O', 'cost': 187}, {'facility': 'F9', 'customer': 'P', 'cost': 980}, {'facility': 'F9', 'customer': 'Q', 'cost': 994}, {'facility': 'F9', 'customer': 'R', 'cost': 284}], 'objective': 7050.0}","{'selected': ['F1', 'F8'], 'assignments': ['F1', 'F8', 'F8', 'F8', 'F1', 'F1', 'F8', 'F1', 'F8', 'F1', 'F1', 'F8', 'F1', 'F1', 'F8', 'F1', 'F1', 'F8']}",49,nl,names
UFLP,UFLP,"I work with a city planner who's trying to figure out which public lockers to put around town and which neighborhood of commuters should use each installed locker. The idea is simple: every locker that gets installed costs money, and every commuter who has to detour to reach their assigned locker pays a little extra in time or distance. The planner needs to pick which lockers to install and then give each commuter catchment exactly one of those installed lockers to use — nothing left unassigned, and no catchment sent to more than one locker. In the end, the tally is the sum of the installation fees for the chosen lockers plus all the detour costs for commuters, and the plan that keeps that total as small as possible is the one they want. Concrete details about candidate locations, fees, and detour distances are shown below.

{
  ""num_lockers"": 8,
  ""num_catchments"": 20,
  ""lockers"": [
    {
      ""locker_id"": ""F1"",
      ""installation_fee"": 1171
    },
    {
      ""locker_id"": ""F2"",
      ""installation_fee"": 9737
    },
    {
      ""locker_id"": ""F3"",
      ""installation_fee"": 6680
    },
    {
      ""locker_id"": ""F4"",
      ""installation_fee"": 3501
    },
    {
      ""locker_id"": ""F5"",
      ""installation_fee"": 5272
    },
    {
      ""locker_id"": ""F6"",
      ""installation_fee"": 8839
    },
    {
      ""locker_id"": ""F7"",
      ""installation_fee"": 4115
    },
    {
      ""locker_id"": ""F8"",
      ""installation_fee"": 4604
    }
  ],
  ""catchments"": [
    {
      ""catchment_id"": ""A""
    },
    {
      ""catchment_id"": ""B""
    },
    {
      ""catchment_id"": ""C""
    },
    {
      ""catchment_id"": ""D""
    },
    {
      ""catchment_id"": ""E""
    },
    {
      ""catchment_id"": ""F""
    },
    {
      ""catchment_id"": ""G""
    },
    {
      ""catchment_id"": ""H""
    },
    {
      ""catchment_id"": ""I""
    },
    {
      ""catchment_id"": ""J""
    },
    {
      ""catchment_id"": ""K""
    },
    {
      ""catchment_id"": ""L""
    },
    {
      ""catchment_id"": ""M""
    },
    {
      ""catchment_id"": ""N""
    },
    {
      ""catchment_id"": ""O""
    },
    {
      ""catchment_id"": ""P""
    },
    {
      ""catchment_id"": ""Q""
    },
    {
      ""catchment_id"": ""R""
    },
    {
      ""catchment_id"": ""S""
    },
    {
      ""catchment_id"": ""T""
    }
  ],
  ""detours"": [
    {
      ""locker_id"": ""F1"",
      ""catchment_id"": ""A"",
      ""detour_cost"": 703
    },
    {
      ""locker_id"": ""F1"",
      ""catchment_id"": ""B"",
      ""detour_cost"": 495
    },
    {
      ""locker_id"": ""F1"",
      ""catchment_id"": ""C"",
      ""detour_cost"": 455
    },
    {
      ""locker_id"": ""F1"",
      ""catchment_id"": ""D"",
      ""detour_cost"": 801
    },
    {
      ""locker_id"": ""F1"",
      ""catchment_id"": ""E"",
      ""detour_cost"": 314
    },
    {
      ""locker_id"": ""F1"",
      ""catchment_id"": ""F"",
      ""detour_cost"": 789
    },
    {
      ""locker_id"": ""F1"",
      ""catchment_id"": ""G"",
      ""detour_cost"": 374
    },
    {
      ""locker_id"": ""F1"",
      ""catchment_id"": ""H"",
      ""detour_cost"": 646
    },
    {
      ""locker_id"": ""F1"",
      ""catchment_id"": ""I"",
      ""detour_cost"": 496
    },
    {
      ""locker_id"": ""F1"",
      ""catchment_id"": ""J"",
      ""detour_cost"": 934
    },
    {
      ""locker_id"": ""F1"",
      ""catchment_id"": ""K"",
      ""detour_cost"": 770
    },
    {
      ""locker_id"": ""F1"",
      ""catchment_id"": ""L"",
      ""detour_cost"": 65
    },
    {
      ""locker_id"": ""F1"",
      ""catchment_id"": ""M"",
      ""detour_cost"": 475
    },
    {
      ""locker_id"": ""F1"",
      ""catchment_id"": ""N"",
      ""detour_cost"": 375
    },
    {
      ""locker_id"": ""F1"",
      ""catchment_id"": ""O"",
      ""detour_cost"": 929
    },
    {
      ""locker_id"": ""F1"",
      ""catchment_id"": ""P"",
      ""detour_cost"": 23
    },
    {
      ""locker_id"": ""F1"",
      ""catchment_id"": ""Q"",
      ""detour_cost"": 704
    },
    {
      ""locker_id"": ""F1"",
      ""catchment_id"": ""R"",
      ""detour_cost"": 239
    },
    {
      ""locker_id"": ""F1"",
      ""catchment_id"": ""S"",
      ""detour_cost"": 660
    },
    {
      ""locker_id"": ""F1"",
      ""catchment_id"": ""T"",
      ""detour_cost"": 683
    },
    {
      ""locker_id"": ""F2"",
      ""catchment_id"": ""A"",
      ""detour_cost"": 365
    },
    {
      ""locker_id"": ""F2"",
      ""catchment_id"": ""B"",
      ""detour_cost"": 370
    },
    {
      ""locker_id"": ""F2"",
      ""catchment_id"": ""C"",
      ""detour_cost"": 447
    },
    {
      ""locker_id"": ""F2"",
      ""catchment_id"": ""D"",
      ""detour_cost"": 799
    },
    {
      ""locker_id"": ""F2"",
      ""catchment_id"": ""E"",
      ""detour_cost"": 851
    },
    {
      ""locker_id"": ""F2"",
      ""catchment_id"": ""F"",
      ""detour_cost"": 340
    },
    {
      ""locker_id"": ""F2"",
      ""catchment_id"": ""G"",
      ""detour_cost"": 271
    },
    {
      ""locker_id"": ""F2"",
      ""catchment_id"": ""H"",
      ""detour_cost"": 506
    },
    {
      ""locker_id"": ""F2"",
      ""catchment_id"": ""I"",
      ""detour_cost"": 11
    },
    {
      ""locker_id"": ""F2"",
      ""catchment_id"": ""J"",
      ""detour_cost"": 280
    },
    {
      ""locker_id"": ""F2"",
      ""catchment_id"": ""K"",
      ""detour_cost"": 712
    },
    {
      ""locker_id"": ""F2"",
      ""catchment_id"": ""L"",
      ""detour_cost"": 838
    },
    {
      ""locker_id"": ""F2"",
      ""catchment_id"": ""M"",
      ""detour_cost"": 670
    },
    {
      ""locker_id"": ""F2"",
      ""catchment_id"": ""N"",
      ""detour_cost"": 652
    },
    {
      ""locker_id"": ""F2"",
      ""catchment_id"": ""O"",
      ""detour_cost"": 287
    },
    {
      ""locker_id"": ""F2"",
      ""catchment_id"": ""P"",
      ""detour_cost"": 602
    },
    {
      ""locker_id"": ""F2"",
      ""catchment_id"": ""Q"",
      ""detour_cost"": 134
    },
    {
      ""locker_id"": ""F2"",
      ""catchment_id"": ""R"",
      ""detour_cost"": 735
    },
    {
      ""locker_id"": ""F2"",
      ""catchment_id"": ""S"",
      ""detour_cost"": 198
    },
    {
      ""locker_id"": ""F2"",
      ""catchment_id"": ""T"",
      ""detour_cost"": 586
    },
    {
      ""locker_id"": ""F3"",
      ""catchment_id"": ""A"",
      ""detour_cost"": 428
    },
    {
      ""locker_id"": ""F3"",
      ""catchment_id"": ""B"",
      ""detour_cost"": 941
    },
    {
      ""locker_id"": ""F3"",
      ""catchment_id"": ""C"",
      ""detour_cost"": 472
    },
    {
      ""locker_id"": ""F3"",
      ""catchment_id"": ""D"",
      ""detour_cost"": 808
    },
    {
      ""locker_id"": ""F3"",
      ""catchment_id"": ""E"",
      ""detour_cost"": 965
    },
    {
      ""locker_id"": ""F3"",
      ""catchment_id"": ""F"",
      ""detour_cost"": 845
    },
    {
      ""locker_id"": ""F3"",
      ""catchment_id"": ""G"",
      ""detour_cost"": 925
    },
    {
      ""locker_id"": ""F3"",
      ""catchment_id"": ""H"",
      ""detour_cost"": 208
    },
    {
      ""locker_id"": ""F3"",
      ""catchment_id"": ""I"",
      ""detour_cost"": 426
    },
    {
      ""locker_id"": ""F3"",
      ""catchment_id"": ""J"",
      ""detour_cost"": 942
    },
    {
      ""locker_id"": ""F3"",
      ""catchment_id"": ""K"",
      ""detour_cost"": 516
    },
    {
      ""locker_id"": ""F3"",
      ""catchment_id"": ""L"",
      ""detour_cost"": 337
    },
    {
      ""locker_id"": ""F3"",
      ""catchment_id"": ""M"",
      ""detour_cost"": 326
    },
    {
      ""locker_id"": ""F3"",
      ""catchment_id"": ""N"",
      ""detour_cost"": 427
    },
    {
      ""locker_id"": ""F3"",
      ""catchment_id"": ""O"",
      ""detour_cost"": 692
    },
    {
      ""locker_id"": ""F3"",
      ""catchment_id"": ""P"",
      ""detour_cost"": 543
    },
    {
      ""locker_id"": ""F3"",
      ""catchment_id"": ""Q"",
      ""detour_cost"": 688
    },
    {
      ""locker_id"": ""F3"",
      ""catchment_id"": ""R"",
      ""detour_cost"": 867
    },
    {
      ""locker_id"": ""F3"",
      ""catchment_id"": ""S"",
      ""detour_cost"": 121
    },
    {
      ""locker_id"": ""F3"",
      ""catchment_id"": ""T"",
      ""detour_cost"": 989
    },
    {
      ""locker_id"": ""F4"",
      ""catchment_id"": ""A"",
      ""detour_cost"": 942
    },
    {
      ""locker_id"": ""F4"",
      ""catchment_id"": ""B"",
      ""detour_cost"": 360
    },
    {
      ""locker_id"": ""F4"",
      ""catchment_id"": ""C"",
      ""detour_cost"": 351
    },
    {
      ""locker_id"": ""F4"",
      ""catchment_id"": ""D"",
      ""detour_cost"": 583
    },
    {
      ""locker_id"": ""F4"",
      ""catchment_id"": ""E"",
      ""detour_cost"": 537
    },
    {
      ""locker_id"": ""F4"",
      ""catchment_id"": ""F"",
      ""detour_cost"": 278
    },
    {
      ""locker_id"": ""F4"",
      ""catchment_id"": ""G"",
      ""detour_cost"": 523
    },
    {
      ""locker_id"": ""F4"",
      ""catchment_id"": ""H"",
      ""detour_cost"": 40
    },
    {
      ""locker_id"": ""F4"",
      ""catchment_id"": ""I"",
      ""detour_cost"": 555
    },
    {
      ""locker_id"": ""F4"",
      ""catchment_id"": ""J"",
      ""detour_cost"": 864
    },
    {
      ""locker_id"": ""F4"",
      ""catchment_id"": ""K"",
      ""detour_cost"": 741
    },
    {
      ""locker_id"": ""F4"",
      ""catchment_id"": ""L"",
      ""detour_cost"": 615
    },
    {
      ""locker_id"": ""F4"",
      ""catchment_id"": ""M"",
      ""detour_cost"": 802
    },
    {
      ""locker_id"": ""F4"",
      ""catchment_id"": ""N"",
      ""detour_cost"": 165
    },
    {
      ""locker_id"": ""F4"",
      ""catchment_id"": ""O"",
      ""detour_cost"": 903
    },
    {
      ""locker_id"": ""F4"",
      ""catchment_id"": ""P"",
      ""detour_cost"": 641
    },
    {
      ""locker_id"": ""F4"",
      ""catchment_id"": ""Q"",
      ""detour_cost"": 528
    },
    {
      ""locker_id"": ""F4"",
      ""catchment_id"": ""R"",
      ""detour_cost"": 205
    },
    {
      ""locker_id"": ""F4"",
      ""catchment_id"": ""S"",
      ""detour_cost"": 177
    },
    {
      ""locker_id"": ""F4"",
      ""catchment_id"": ""T"",
      ""detour_cost"": 400
    },
    {
      ""locker_id"": ""F5"",
      ""catchment_id"": ""A"",
      ""detour_cost"": 829
    },
    {
      ""locker_id"": ""F5"",
      ""catchment_id"": ""B"",
      ""detour_cost"": 73
    },
    {
      ""locker_id"": ""F5"",
      ""catchment_id"": ""C"",
      ""detour_cost"": 407
    },
    {
      ""locker_id"": ""F5"",
      ""catchment_id"": ""D"",
      ""detour_cost"": 619
    },
    {
      ""locker_id"": ""F5"",
      ""catchment_id"": ""E"",
      ""detour_cost"": 941
    },
    {
      ""locker_id"": ""F5"",
      ""catchment_id"": ""F"",
      ""detour_cost"": 922
    },
    {
      ""locker_id"": ""F5"",
      ""catchment_id"": ""G"",
      ""detour_cost"": 741
    },
    {
      ""locker_id"": ""F5"",
      ""catchment_id"": ""H"",
      ""detour_cost"": 209
    },
    {
      ""locker_id"": ""F5"",
      ""catchment_id"": ""I"",
      ""detour_cost"": 294
    },
    {
      ""locker_id"": ""F5"",
      ""catchment_id"": ""J"",
      ""detour_cost"": 72
    },
    {
      ""locker_id"": ""F5"",
      ""catchment_id"": ""K"",
      ""detour_cost"": 638
    },
    {
      ""locker_id"": ""F5"",
      ""catchment_id"": ""L"",
      ""detour_cost"": 834
    },
    {
      ""locker_id"": ""F5"",
      ""catchment_id"": ""M"",
      ""detour_cost"": 94
    },
    {
      ""locker_id"": ""F5"",
      ""catchment_id"": ""N"",
      ""detour_cost"": 587
    },
    {
      ""locker_id"": ""F5"",
      ""catchment_id"": ""O"",
      ""detour_cost"": 175
    },
    {
      ""locker_id"": ""F5"",
      ""catchment_id"": ""P"",
      ""detour_cost"": 713
    },
    {
      ""locker_id"": ""F5"",
      ""catchment_id"": ""Q"",
      ""detour_cost"": 34
    },
    {
      ""locker_id"": ""F5"",
      ""catchment_id"": ""R"",
      ""detour_cost"": 224
    },
    {
      ""locker_id"": ""F5"",
      ""catchment_id"": ""S"",
      ""detour_cost"": 185
    },
    {
      ""locker_id"": ""F5"",
      ""catchment_id"": ""T"",
      ""detour_cost"": 576
    },
    {
      ""locker_id"": ""F6"",
      ""catchment_id"": ""A"",
      ""detour_cost"": 493
    },
    {
      ""locker_id"": ""F6"",
      ""catchment_id"": ""B"",
      ""detour_cost"": 45
    },
    {
      ""locker_id"": ""F6"",
      ""catchment_id"": ""C"",
      ""detour_cost"": 803
    },
    {
      ""locker_id"": ""F6"",
      ""catchment_id"": ""D"",
      ""detour_cost"": 678
    },
    {
      ""locker_id"": ""F6"",
      ""catchment_id"": ""E"",
      ""detour_cost"": 665
    },
    {
      ""locker_id"": ""F6"",
      ""catchment_id"": ""F"",
      ""detour_cost"": 420
    },
    {
      ""locker_id"": ""F6"",
      ""catchment_id"": ""G"",
      ""detour_cost"": 36
    },
    {
      ""locker_id"": ""F6"",
      ""catchment_id"": ""H"",
      ""detour_cost"": 784
    },
    {
      ""locker_id"": ""F6"",
      ""catchment_id"": ""I"",
      ""detour_cost"": 501
    },
    {
      ""locker_id"": ""F6"",
      ""catchment_id"": ""J"",
      ""detour_cost"": 233
    },
    {
      ""locker_id"": ""F6"",
      ""catchment_id"": ""K"",
      ""detour_cost"": 363
    },
    {
      ""locker_id"": ""F6"",
      ""catchment_id"": ""L"",
      ""detour_cost"": 431
    },
    {
      ""locker_id"": ""F6"",
      ""catchment_id"": ""M"",
      ""detour_cost"": 64
    },
    {
      ""locker_id"": ""F6"",
      ""catchment_id"": ""N"",
      ""detour_cost"": 146
    },
    {
      ""locker_id"": ""F6"",
      ""catchment_id"": ""O"",
      ""detour_cost"": 396
    },
    {
      ""locker_id"": ""F6"",
      ""catchment_id"": ""P"",
      ""detour_cost"": 495
    },
    {
      ""locker_id"": ""F6"",
      ""catchment_id"": ""Q"",
      ""detour_cost"": 571
    },
    {
      ""locker_id"": ""F6"",
      ""catchment_id"": ""R"",
      ""detour_cost"": 976
    },
    {
      ""locker_id"": ""F6"",
      ""catchment_id"": ""S"",
      ""detour_cost"": 134
    },
    {
      ""locker_id"": ""F6"",
      ""catchment_id"": ""T"",
      ""detour_cost"": 960
    },
    {
      ""locker_id"": ""F7"",
      ""catchment_id"": ""A"",
      ""detour_cost"": 196
    },
    {
      ""locker_id"": ""F7"",
      ""catchment_id"": ""B"",
      ""detour_cost"": 897
    },
    {
      ""locker_id"": ""F7"",
      ""catchment_id"": ""C"",
      ""detour_cost"": 658
    },
    {
      ""locker_id"": ""F7"",
      ""catchment_id"": ""D"",
      ""detour_cost"": 536
    },
    {
      ""locker_id"": ""F7"",
      ""catchment_id"": ""E"",
      ""detour_cost"": 847
    },
    {
      ""locker_id"": ""F7"",
      ""catchment_id"": ""F"",
      ""detour_cost"": 638
    },
    {
      ""locker_id"": ""F7"",
      ""catchment_id"": ""G"",
      ""detour_cost"": 175
    },
    {
      ""locker_id"": ""F7"",
      ""catchment_id"": ""H"",
      ""detour_cost"": 69
    },
    {
      ""locker_id"": ""F7"",
      ""catchment_id"": ""I"",
      ""detour_cost"": 124
    },
    {
      ""locker_id"": ""F7"",
      ""catchment_id"": ""J"",
      ""detour_cost"": 880
    },
    {
      ""locker_id"": ""F7"",
      ""catchment_id"": ""K"",
      ""detour_cost"": 546
    },
    {
      ""locker_id"": ""F7"",
      ""catchment_id"": ""L"",
      ""detour_cost"": 871
    },
    {
      ""locker_id"": ""F7"",
      ""catchment_id"": ""M"",
      ""detour_cost"": 716
    },
    {
      ""locker_id"": ""F7"",
      ""catchment_id"": ""N"",
      ""detour_cost"": 219
    },
    {
      ""locker_id"": ""F7"",
      ""catchment_id"": ""O"",
      ""detour_cost"": 578
    },
    {
      ""locker_id"": ""F7"",
      ""catchment_id"": ""P"",
      ""detour_cost"": 731
    },
    {
      ""locker_id"": ""F7"",
      ""catchment_id"": ""Q"",
      ""detour_cost"": 596
    },
    {
      ""locker_id"": ""F7"",
      ""catchment_id"": ""R"",
      ""detour_cost"": 230
    },
    {
      ""locker_id"": ""F7"",
      ""catchment_id"": ""S"",
      ""detour_cost"": 464
    },
    {
      ""locker_id"": ""F7"",
      ""catchment_id"": ""T"",
      ""detour_cost"": 294
    },
    {
      ""locker_id"": ""F8"",
      ""catchment_id"": ""A"",
      ""detour_cost"": 892
    },
    {
      ""locker_id"": ""F8"",
      ""catchment_id"": ""B"",
      ""detour_cost"": 501
    },
    {
      ""locker_id"": ""F8"",
      ""catchment_id"": ""C"",
      ""detour_cost"": 728
    },
    {
      ""locker_id"": ""F8"",
      ""catchment_id"": ""D"",
      ""detour_cost"": 497
    },
    {
      ""locker_id"": ""F8"",
      ""catchment_id"": ""E"",
      ""detour_cost"": 121
    },
    {
      ""locker_id"": ""F8"",
      ""catchment_id"": ""F"",
      ""detour_cost"": 716
    },
    {
      ""locker_id"": ""F8"",
      ""catchment_id"": ""G"",
      ""detour_cost"": 862
    },
    {
      ""locker_id"": ""F8"",
      ""catchment_id"": ""H"",
      ""detour_cost"": 989
    },
    {
      ""locker_id"": ""F8"",
      ""catchment_id"": ""I"",
      ""detour_cost"": 516
    },
    {
      ""locker_id"": ""F8"",
      ""catchment_id"": ""J"",
      ""detour_cost"": 775
    },
    {
      ""locker_id"": ""F8"",
      ""catchment_id"": ""K"",
      ""detour_cost"": 152
    },
    {
      ""locker_id"": ""F8"",
      ""catchment_id"": ""L"",
      ""detour_cost"": 321
    },
    {
      ""locker_id"": ""F8"",
      ""catchment_id"": ""M"",
      ""detour_cost"": 933
    },
    {
      ""locker_id"": ""F8"",
      ""catchment_id"": ""N"",
      ""detour_cost"": 790
    },
    {
      ""locker_id"": ""F8"",
      ""catchment_id"": ""O"",
      ""detour_cost"": 705
    },
    {
      ""locker_id"": ""F8"",
      ""catchment_id"": ""P"",
      ""detour_cost"": 104
    },
    {
      ""locker_id"": ""F8"",
      ""catchment_id"": ""Q"",
      ""detour_cost"": 520
    },
    {
      ""locker_id"": ""F8"",
      ""catchment_id"": ""R"",
      ""detour_cost"": 707
    },
    {
      ""locker_id"": ""F8"",
      ""catchment_id"": ""S"",
      ""detour_cost"": 101
    },
    {
      ""locker_id"": ""F8"",
      ""catchment_id"": ""T"",
      ""detour_cost"": 467
    }
  ]
}

Oh, and to make it easy for me to read your plan, please send the final pick and the commuter assignments in this little JSON shape — nothing fancy, just a consistent form I can parse.

{
  ""solution"": {
    ""selected"": [<site_to_open>, <site_to_open>, ...],
    ""assignments"": [<chosen_site>, <chosen_site>, ...]
  }
}

Pretty simple: ""selected"" is the list of locker sites you want installed, and ""assignments"" lists, in the same order as the commuter catchments are given in the instance, which installed site each catchment should use. Think of it like a short form — not the real answer, just the shape I expect.

Please make sure to use the exact identifiers from the instance input — don't rename them or invent new labels. 
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'opening_costs': [1171, 9737, 6680, 3501, 5272, 8839, 4115, 4604], 'connection_costs': [[703, 495, 455, 801, 314, 789, 374, 646, 496, 934, 770, 65, 475, 375, 929, 23, 704, 239, 660, 683], [365, 370, 447, 799, 851, 340, 271, 506, 11, 280, 712, 838, 670, 652, 287, 602, 134, 735, 198, 586], [428, 941, 472, 808, 965, 845, 925, 208, 426, 942, 516, 337, 326, 427, 692, 543, 688, 867, 121, 989], [942, 360, 351, 583, 537, 278, 523, 40, 555, 864, 741, 615, 802, 165, 903, 641, 528, 205, 177, 400], [829, 73, 407, 619, 941, 922, 741, 209, 294, 72, 638, 834, 94, 587, 175, 713, 34, 224, 185, 576], [493, 45, 803, 678, 665, 420, 36, 784, 501, 233, 363, 431, 64, 146, 396, 495, 571, 976, 134, 960], [196, 897, 658, 536, 847, 638, 175, 69, 124, 880, 546, 871, 716, 219, 578, 731, 596, 230, 464, 294], [892, 501, 728, 497, 121, 716, 862, 989, 516, 775, 152, 321, 933, 790, 705, 104, 520, 707, 101, 467]], 'objective': 12101.0}","{'open_facilities': [0], 'assignments': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]}",12101.0,"{'problem_type': 'UFLP', 'num_facilities': 8, 'num_customers': 20, 'facilities': [{'id': 'F1', 'opening_cost': 1171}, {'id': 'F2', 'opening_cost': 9737}, {'id': 'F3', 'opening_cost': 6680}, {'id': 'F4', 'opening_cost': 3501}, {'id': 'F5', 'opening_cost': 5272}, {'id': 'F6', 'opening_cost': 8839}, {'id': 'F7', 'opening_cost': 4115}, {'id': 'F8', 'opening_cost': 4604}], 'customers': [{'id': 'A'}, {'id': 'B'}, {'id': 'C'}, {'id': 'D'}, {'id': 'E'}, {'id': 'F'}, {'id': 'G'}, {'id': 'H'}, {'id': 'I'}, {'id': 'J'}, {'id': 'K'}, {'id': 'L'}, {'id': 'M'}, {'id': 'N'}, {'id': 'O'}, {'id': 'P'}, {'id': 'Q'}, {'id': 'R'}, {'id': 'S'}, {'id': 'T'}], 'connection_costs': [{'facility': 'F1', 'customer': 'A', 'cost': 703}, {'facility': 'F1', 'customer': 'B', 'cost': 495}, {'facility': 'F1', 'customer': 'C', 'cost': 455}, {'facility': 'F1', 'customer': 'D', 'cost': 801}, {'facility': 'F1', 'customer': 'E', 'cost': 314}, {'facility': 'F1', 'customer': 'F', 'cost': 789}, {'facility': 'F1', 'customer': 'G', 'cost': 374}, {'facility': 'F1', 'customer': 'H', 'cost': 646}, {'facility': 'F1', 'customer': 'I', 'cost': 496}, {'facility': 'F1', 'customer': 'J', 'cost': 934}, {'facility': 'F1', 'customer': 'K', 'cost': 770}, {'facility': 'F1', 'customer': 'L', 'cost': 65}, {'facility': 'F1', 'customer': 'M', 'cost': 475}, {'facility': 'F1', 'customer': 'N', 'cost': 375}, {'facility': 'F1', 'customer': 'O', 'cost': 929}, {'facility': 'F1', 'customer': 'P', 'cost': 23}, {'facility': 'F1', 'customer': 'Q', 'cost': 704}, {'facility': 'F1', 'customer': 'R', 'cost': 239}, {'facility': 'F1', 'customer': 'S', 'cost': 660}, {'facility': 'F1', 'customer': 'T', 'cost': 683}, {'facility': 'F2', 'customer': 'A', 'cost': 365}, {'facility': 'F2', 'customer': 'B', 'cost': 370}, {'facility': 'F2', 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