Datasets:

nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
search_path
stringlengths
505
16.8k
rating
float64
0
0.99
search_type
stringclasses
5 values
heuristic
stringclasses
2 values
[ 16, 31, 94, 47 ]
93
[ "16+31=47", "47/47=1", "94-1=93" ]
Current State: 93:[16, 31, 94, 47], Operations: [] Exploring Operation: 16+31=47, Resulting Numbers: [94, 47, 47] Generated Node #2: [94, 47, 47] from Operation: 16+31=47 Current State: 93:[94, 47, 47], Operations: ['16+31=47'] Exploring Operation: 47/47=1, Resulting Numbers: [94, 1] Generated Node #3: [94, 1] from Ope...
4
Current State: 93:[16, 31, 94, 47], Operations: [] Exploring Operation: 47-31=16, Resulting Numbers: [16, 94, 16] Generated Node #0,0: 93:[16, 94, 16] Operation: 47-31=16 Exploring Operation: 94/47=2, Resulting Numbers: [16, 31, 2] Generated Node #0,1: 93:[16, 31, 2] Operation: 94/47=2 Exploring Operation: 47-16=31, Re...
0.990451
hs_3
mult_heuristic
[ 56, 5, 52, 42 ]
76
[ "5+52=57", "56*57=3192", "3192/42=76" ]
Current State: 76:[56, 5, 52, 42], Operations: [] Exploring Operation: 5+52=57, Resulting Numbers: [56, 42, 57] Generated Node #2: [56, 42, 57] from Operation: 5+52=57 Current State: 76:[56, 42, 57], Operations: ['5+52=57'] Exploring Operation: 56*57=3192, Resulting Numbers: [42, 3192] Generated Node #3: [42, 3192] fro...
4
Current State: 76:[56, 5, 52, 42], Operations: [] Exploring Operation: 56-52=4, Resulting Numbers: [5, 42, 4] Generated Node #0,0: 76:[5, 42, 4] Operation: 56-52=4 Moving to Node #0,0 Current State: 76:[5, 42, 4], Operations: ['56-52=4'] Exploring Operation: 42-5=37, Resulting Numbers: [4, 37] Generated Node #0,0,0: 76...
0
hs_1
mult_heuristic
[ 13, 78, 66, 3 ]
53
[ "13+66=79", "78/3=26", "79-26=53" ]
Current State: 53:[13, 78, 66, 3], Operations: [] Exploring Operation: 13+66=79, Resulting Numbers: [78, 3, 79] Generated Node #2: [78, 3, 79] from Operation: 13+66=79 Current State: 53:[78, 3, 79], Operations: ['13+66=79'] Exploring Operation: 78/3=26, Resulting Numbers: [79, 26] Generated Node #3: [79, 26] from Opera...
4
Current State: 53:[13, 78, 66, 3], Operations: [] Exploring Operation: 13+3=16, Resulting Numbers: [78, 66, 16] Generated Node #0,0: 53:[78, 66, 16] Operation: 13+3=16 Exploring Operation: 13*3=39, Resulting Numbers: [78, 66, 39] Generated Node #0,1: 53:[78, 66, 39] Operation: 13*3=39 Exploring Operation: 66-13=53, Res...
0
hs_4
mult_heuristic
[ 21, 63, 73, 98 ]
57
[ "63/21=3", "73+98=171", "171/3=57" ]
Current State: 57:[21, 63, 73, 98], Operations: [] Exploring Operation: 63/21=3, Resulting Numbers: [73, 98, 3] Generated Node #2: [73, 98, 3] from Operation: 63/21=3 Current State: 57:[73, 98, 3], Operations: ['63/21=3'] Exploring Operation: 73+98=171, Resulting Numbers: [3, 171] Generated Node #3: [3, 171] from Opera...
4
Current State: 57:[21, 63, 73, 98], Operations: [] Exploring Operation: 98-73=25, Resulting Numbers: [21, 63, 25] Generated Node #0,0: 57:[21, 63, 25] Operation: 98-73=25 Exploring Operation: 98-21=77, Resulting Numbers: [63, 73, 77] Generated Node #0,1: 57:[63, 73, 77] Operation: 98-21=77 Exploring Operation: 98-63=35...
0
hs_3
mult_heuristic
[ 17, 9, 73, 63 ]
53
[ "17+73=90", "90/9=10", "63-10=53" ]
Current State: 53:[17, 9, 73, 63], Operations: [] Exploring Operation: 17+73=90, Resulting Numbers: [9, 63, 90] Generated Node #2: [9, 63, 90] from Operation: 17+73=90 Current State: 53:[9, 63, 90], Operations: ['17+73=90'] Exploring Operation: 90/9=10, Resulting Numbers: [63, 10] Generated Node #3: [63, 10] from Opera...
4
Current State: 53:[17, 9, 73, 63], Operations: [] Exploring Operation: 73-9=64, Resulting Numbers: [17, 63, 64] Generated Node #0,0: 53:[17, 63, 64] Operation: 73-9=64 Exploring Operation: 63-9=54, Resulting Numbers: [17, 73, 54] Generated Node #0,1: 53:[17, 73, 54] Operation: 63-9=54 Exploring Operation: 73-17=56, Res...
0
hs_5
sum_heuristic
[ 94, 98, 36, 23 ]
32
[ "98-94=4", "36/4=9", "23+9=32" ]
Current State: 32:[94, 98, 36, 23], Operations: [] Exploring Operation: 98-94=4, Resulting Numbers: [36, 23, 4] Generated Node #2: [36, 23, 4] from Operation: 98-94=4 Current State: 32:[36, 23, 4], Operations: ['98-94=4'] Exploring Operation: 36/4=9, Resulting Numbers: [23, 9] Generated Node #3: [23, 9] from Operation:...
4
Current State: 32:[94, 98, 36, 23], Operations: [] Exploring Operation: 98-36=62, Resulting Numbers: [94, 23, 62] Generated Node #0,0: 32:[94, 23, 62] Operation: 98-36=62 Exploring Operation: 94-23=71, Resulting Numbers: [98, 36, 71] Generated Node #0,1: 32:[98, 36, 71] Operation: 94-23=71 Exploring Operation: 98-23=75...
0.977431
hs_5
sum_heuristic
[ 46, 22, 32, 35 ]
34
[ "46-35=11", "22/11=2", "32+2=34" ]
Current State: 34:[46, 22, 32, 35], Operations: [] Exploring Operation: 46-35=11, Resulting Numbers: [22, 32, 11] Generated Node #2: [22, 32, 11] from Operation: 46-35=11 Current State: 34:[22, 32, 11], Operations: ['46-35=11'] Exploring Operation: 22/11=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Ope...
4
Current State: 34:[46, 22, 32, 35], Operations: [] Exploring Operation: 46-22=24, Resulting Numbers: [32, 35, 24] Generated Node #0,0: 34:[32, 35, 24] Operation: 46-22=24 Exploring Operation: 46-35=11, Resulting Numbers: [22, 32, 11] Generated Node #0,1: 34:[22, 32, 11] Operation: 46-35=11 Exploring Operation: 35-22=13...
0.970486
hs_4
mult_heuristic
[ 65, 99, 58, 11 ]
13
[ "99-65=34", "58-11=47", "47-34=13" ]
Current State: 13:[65, 99, 58, 11], Operations: [] Exploring Operation: 99-65=34, Resulting Numbers: [58, 11, 34] Generated Node #2: [58, 11, 34] from Operation: 99-65=34 Current State: 13:[58, 11, 34], Operations: ['99-65=34'] Exploring Operation: 58-11=47, Resulting Numbers: [34, 47] Generated Node #3: [34, 47] from ...
4
Current State: 13:[65, 99, 58, 11], Operations: [] Exploring Operation: 65-58=7, Resulting Numbers: [99, 11, 7] Generated Node #0,0: 13:[99, 11, 7] Operation: 65-58=7 Exploring Operation: 99-58=41, Resulting Numbers: [65, 11, 41] Generated Node #0,1: 13:[65, 11, 41] Operation: 99-58=41 Exploring Operation: 99-65=34, Re...
0.988715
hs_3
sum_heuristic
[ 18, 74, 2, 77 ]
49
[ "74-18=56", "56/2=28", "77-28=49" ]
Current State: 49:[18, 74, 2, 77], Operations: [] Exploring Operation: 74-18=56, Resulting Numbers: [2, 77, 56] Generated Node #2: [2, 77, 56] from Operation: 74-18=56 Current State: 49:[2, 77, 56], Operations: ['74-18=56'] Exploring Operation: 56/2=28, Resulting Numbers: [77, 28] Generated Node #3: [77, 28] from Opera...
4
Current State: 49:[18, 74, 2, 77], Operations: [] Exploring Operation: 77-74=3, Resulting Numbers: [18, 2, 3] Generated Node #0,0: 49:[18, 2, 3] Operation: 77-74=3 Exploring Operation: 77-18=59, Resulting Numbers: [74, 2, 59] Generated Node #0,1: 49:[74, 2, 59] Operation: 77-18=59 Exploring Operation: 18/2=9, Resulting...
0
hs_5
sum_heuristic
[ 60, 71, 1, 32 ]
21
[ "71-60=11", "1*32=32", "32-11=21" ]
Current State: 21:[60, 71, 1, 32], Operations: [] Exploring Operation: 71-60=11, Resulting Numbers: [1, 32, 11] Generated Node #2: [1, 32, 11] from Operation: 71-60=11 Current State: 21:[1, 32, 11], Operations: ['71-60=11'] Exploring Operation: 1*32=32, Resulting Numbers: [11, 32] Generated Node #3: [11, 32] from Opera...
4
Current State: 21:[60, 71, 1, 32], Operations: [] Exploring Operation: 71-32=39, Resulting Numbers: [60, 1, 39] Generated Node #0,0: 21:[60, 1, 39] Operation: 71-32=39 Exploring Operation: 60-32=28, Resulting Numbers: [71, 1, 28] Generated Node #0,1: 21:[71, 1, 28] Operation: 60-32=28 Exploring Operation: 60-1=59, Resu...
0.986979
hs_4
mult_heuristic
[ 48, 34, 31, 58 ]
41
[ "48-34=14", "58-31=27", "14+27=41" ]
Current State: 41:[48, 34, 31, 58], Operations: [] Exploring Operation: 48-34=14, Resulting Numbers: [31, 58, 14] Generated Node #2: [31, 58, 14] from Operation: 48-34=14 Current State: 41:[31, 58, 14], Operations: ['48-34=14'] Exploring Operation: 58-31=27, Resulting Numbers: [14, 27] Generated Node #3: [14, 27] from ...
4
Current State: 41:[48, 34, 31, 58], Operations: [] Exploring Operation: 58-34=24, Resulting Numbers: [48, 31, 24] Generated Node #0,0: 41:[48, 31, 24] Operation: 58-34=24 Exploring Operation: 58-48=10, Resulting Numbers: [34, 31, 10] Generated Node #0,1: 41:[34, 31, 10] Operation: 58-48=10 Exploring Operation: 58-31=27...
0.983507
hs_4
sum_heuristic
[ 2, 19, 54, 5 ]
47
[ "19-5=14", "14/2=7", "54-7=47" ]
Current State: 47:[2, 19, 54, 5], Operations: [] Exploring Operation: 19-5=14, Resulting Numbers: [2, 54, 14] Generated Node #2: [2, 54, 14] from Operation: 19-5=14 Current State: 47:[2, 54, 14], Operations: ['19-5=14'] Exploring Operation: 14/2=7, Resulting Numbers: [54, 7] Generated Node #3: [54, 7] from Operation: 1...
4
Current State: 47:[2, 19, 54, 5], Operations: [] Exploring Operation: 2*19=38, Resulting Numbers: [54, 5, 38] Generated Node #0,0: 47:[54, 5, 38] Operation: 2*19=38 Exploring Operation: 2*5=10, Resulting Numbers: [19, 54, 10] Generated Node #0,1: 47:[19, 54, 10] Operation: 2*5=10 Exploring Operation: 2+19=21, Resulting...
0
hs_3
mult_heuristic
[ 16, 85, 92, 89 ]
88
[ "89-85=4", "16/4=4", "92-4=88" ]
Current State: 88:[16, 85, 92, 89], Operations: [] Exploring Operation: 89-85=4, Resulting Numbers: [16, 92, 4] Generated Node #2: [16, 92, 4] from Operation: 89-85=4 Current State: 88:[16, 92, 4], Operations: ['89-85=4'] Exploring Operation: 16/4=4, Resulting Numbers: [92, 4] Generated Node #3: [92, 4] from Operation:...
4
Current State: 88:[16, 85, 92, 89], Operations: [] Exploring Operation: 92-85=7, Resulting Numbers: [16, 89, 7] Generated Node #0,0: 88:[16, 89, 7] Operation: 92-85=7 Exploring Operation: 89-85=4, Resulting Numbers: [16, 92, 4] Generated Node #0,1: 88:[16, 92, 4] Operation: 89-85=4 Moving to Node #0,0 Current State: 88...
0.986111
hs_2
mult_heuristic
[ 24, 37, 87, 56 ]
53
[ "24+87=111", "111/37=3", "56-3=53" ]
Current State: 53:[24, 37, 87, 56], Operations: [] Exploring Operation: 24+87=111, Resulting Numbers: [37, 56, 111] Generated Node #2: [37, 56, 111] from Operation: 24+87=111 Current State: 53:[37, 56, 111], Operations: ['24+87=111'] Exploring Operation: 111/37=3, Resulting Numbers: [56, 3] Generated Node #3: [56, 3] f...
4
Current State: 53:[24, 37, 87, 56], Operations: [] Exploring Operation: 24+37=61, Resulting Numbers: [87, 56, 61] Generated Node #0,0: 53:[87, 56, 61] Operation: 24+37=61 Exploring Operation: 87-37=50, Resulting Numbers: [24, 56, 50] Generated Node #0,1: 53:[24, 56, 50] Operation: 87-37=50 Exploring Operation: 87-24=63...
0
hs_3
sum_heuristic
[ 52, 12, 20, 88 ]
43
[ "20+88=108", "108/12=9", "52-9=43" ]
Current State: 43:[52, 12, 20, 88], Operations: [] Exploring Operation: 20+88=108, Resulting Numbers: [52, 12, 108] Generated Node #2: [52, 12, 108] from Operation: 20+88=108 Current State: 43:[52, 12, 108], Operations: ['20+88=108'] Exploring Operation: 108/12=9, Resulting Numbers: [52, 9] Generated Node #3: [52, 9] f...
4
Current State: 43:[52, 12, 20, 88], Operations: [] Exploring Operation: 88-52=36, Resulting Numbers: [12, 20, 36] Generated Node #0,0: 43:[12, 20, 36] Operation: 88-52=36 Exploring Operation: 88-20=68, Resulting Numbers: [52, 12, 68] Generated Node #0,1: 43:[52, 12, 68] Operation: 88-20=68 Exploring Operation: 12+20=32...
0
hs_4
mult_heuristic
[ 17, 89, 1, 29 ]
76
[ "17+89=106", "1+29=30", "106-30=76" ]
Current State: 76:[17, 89, 1, 29], Operations: [] Exploring Operation: 17+89=106, Resulting Numbers: [1, 29, 106] Generated Node #2: [1, 29, 106] from Operation: 17+89=106 Current State: 76:[1, 29, 106], Operations: ['17+89=106'] Exploring Operation: 1+29=30, Resulting Numbers: [106, 30] Generated Node #3: [106, 30] fr...
4
Current State: 76:[17, 89, 1, 29], Operations: [] Exploring Operation: 89-17=72, Resulting Numbers: [1, 29, 72] Generated Node #0,0: 76:[1, 29, 72] Operation: 89-17=72 Exploring Operation: 29-17=12, Resulting Numbers: [89, 1, 12] Generated Node #0,1: 76:[89, 1, 12] Operation: 29-17=12 Exploring Operation: 89-29=60, Res...
0.980035
hs_3
mult_heuristic
[ 63, 3, 97, 33 ]
45
[ "97-63=34", "33/3=11", "34+11=45" ]
Current State: 45:[63, 3, 97, 33], Operations: [] Exploring Operation: 97-63=34, Resulting Numbers: [3, 33, 34] Generated Node #2: [3, 33, 34] from Operation: 97-63=34 Current State: 45:[3, 33, 34], Operations: ['97-63=34'] Exploring Operation: 33/3=11, Resulting Numbers: [34, 11] Generated Node #3: [34, 11] from Opera...
4
Current State: 45:[63, 3, 97, 33], Operations: [] Exploring Operation: 97-63=34, Resulting Numbers: [3, 33, 34] Generated Node #0,0: 45:[3, 33, 34] Operation: 97-63=34 Moving to Node #0,0 Current State: 45:[3, 33, 34], Operations: ['97-63=34'] Exploring Operation: 34-33=1, Resulting Numbers: [3, 1] Generated Node #0,0,...
0
hs_1
mult_heuristic
[ 45, 23, 55, 44 ]
31
[ "45+23=68", "55+44=99", "99-68=31" ]
Current State: 31:[45, 23, 55, 44], Operations: [] Exploring Operation: 45+23=68, Resulting Numbers: [55, 44, 68] Generated Node #2: [55, 44, 68] from Operation: 45+23=68 Current State: 31:[55, 44, 68], Operations: ['45+23=68'] Exploring Operation: 55+44=99, Resulting Numbers: [68, 99] Generated Node #3: [68, 99] from ...
4
Current State: 31:[45, 23, 55, 44], Operations: [] Exploring Operation: 45-23=22, Resulting Numbers: [55, 44, 22] Generated Node #0,0: 31:[55, 44, 22] Operation: 45-23=22 Exploring Operation: 44-23=21, Resulting Numbers: [45, 55, 21] Generated Node #0,1: 31:[45, 55, 21] Operation: 44-23=21 Exploring Operation: 55-45=10...
0.985243
hs_5
mult_heuristic
[ 38, 38, 68, 15 ]
83
[ "38-38=0", "68+15=83", "0+83=83" ]
Current State: 83:[38, 38, 68, 15], Operations: [] Exploring Operation: 38-38=0, Resulting Numbers: [68, 15, 0] Generated Node #2: [68, 15, 0] from Operation: 38-38=0 Current State: 83:[68, 15, 0], Operations: ['38-38=0'] Exploring Operation: 68+15=83, Resulting Numbers: [0, 83] Generated Node #3: [0, 83] from Operatio...
4
Current State: 83:[38, 38, 68, 15], Operations: [] Exploring Operation: 38+15=53, Resulting Numbers: [38, 68, 53] Generated Node #0,0: 83:[38, 68, 53] Operation: 38+15=53 Exploring Operation: 38+15=53, Resulting Numbers: [38, 68, 53] Generated Node #0,1: 83:[38, 68, 53] Operation: 38+15=53 Exploring Operation: 38+38=76...
0.984375
hs_3
mult_heuristic
[ 9, 56, 35, 96 ]
93
[ "56-35=21", "9*21=189", "189-96=93" ]
Current State: 93:[9, 56, 35, 96], Operations: [] Exploring Operation: 56-35=21, Resulting Numbers: [9, 96, 21] Generated Node #2: [9, 96, 21] from Operation: 56-35=21 Current State: 93:[9, 96, 21], Operations: ['56-35=21'] Exploring Operation: 9*21=189, Resulting Numbers: [96, 189] Generated Node #3: [96, 189] from Op...
4
Current State: 93:[9, 56, 35, 96], Operations: [] Exploring Operation: 96-56=40, Resulting Numbers: [9, 35, 40] Generated Node #0,0: 93:[9, 35, 40] Operation: 96-56=40 Exploring Operation: 56-35=21, Resulting Numbers: [9, 96, 21] Generated Node #0,1: 93:[9, 96, 21] Operation: 56-35=21 Exploring Operation: 56+35=91, Res...
0
hs_3
mult_heuristic
[ 41, 90, 9, 93 ]
42
[ "93-41=52", "90/9=10", "52-10=42" ]
Current State: 42:[41, 90, 9, 93], Operations: [] Exploring Operation: 93-41=52, Resulting Numbers: [90, 9, 52] Generated Node #2: [90, 9, 52] from Operation: 93-41=52 Current State: 42:[90, 9, 52], Operations: ['93-41=52'] Exploring Operation: 90/9=10, Resulting Numbers: [52, 10] Generated Node #3: [52, 10] from Opera...
4
Current State: 42:[41, 90, 9, 93], Operations: [] Exploring Operation: 93-90=3, Resulting Numbers: [41, 9, 3] Generated Node #0,0: 42:[41, 9, 3] Operation: 93-90=3 Exploring Operation: 90/9=10, Resulting Numbers: [41, 93, 10] Generated Node #0,1: 42:[41, 93, 10] Operation: 90/9=10 Moving to Node #0,0 Current State: 42:...
0.986111
hs_2
sum_heuristic
[ 18, 79, 9, 53 ]
30
[ "18*9=162", "79+53=132", "162-132=30" ]
Current State: 30:[18, 79, 9, 53], Operations: [] Exploring Operation: 18*9=162, Resulting Numbers: [79, 53, 162] Generated Node #2: [79, 53, 162] from Operation: 18*9=162 Current State: 30:[79, 53, 162], Operations: ['18*9=162'] Exploring Operation: 79+53=132, Resulting Numbers: [162, 132] Generated Node #3: [162, 132...
4
Current State: 30:[18, 79, 9, 53], Operations: [] Exploring Operation: 79-18=61, Resulting Numbers: [9, 53, 61] Generated Node #0,0: 30:[9, 53, 61] Operation: 79-18=61 Exploring Operation: 79-53=26, Resulting Numbers: [18, 9, 26] Generated Node #0,1: 30:[18, 9, 26] Operation: 79-53=26 Exploring Operation: 53-18=35, Res...
0
hs_3
mult_heuristic
[ 11, 51, 52, 41 ]
53
[ "51-11=40", "52+41=93", "93-40=53" ]
Current State: 53:[11, 51, 52, 41], Operations: [] Exploring Operation: 51-11=40, Resulting Numbers: [52, 41, 40] Generated Node #2: [52, 41, 40] from Operation: 51-11=40 Current State: 53:[52, 41, 40], Operations: ['51-11=40'] Exploring Operation: 52+41=93, Resulting Numbers: [40, 93] Generated Node #3: [40, 93] from ...
4
Current State: 53:[11, 51, 52, 41], Operations: [] Exploring Operation: 11+41=52, Resulting Numbers: [51, 52, 52] Generated Node #0,0: 53:[51, 52, 52] Operation: 11+41=52 Start Sub Search at level 1: Moving to Node #0,0 Current State: 53:[51, 52, 52], Operations: ['11+41=52'] Exploring Operation: 51+52=103, Resulting N...
0
hs_1
sum_heuristic
[ 40, 2, 92, 40 ]
94
[ "40+2=42", "92-40=52", "42+52=94" ]
Current State: 94:[40, 2, 92, 40], Operations: [] Exploring Operation: 40+2=42, Resulting Numbers: [92, 42] Generated Node #2: [92, 42] from Operation: 40+2=42 Current State: 94:[92, 42], Operations: ['40+2=42'] Exploring Operation: 92-40=52, Resulting Numbers: [42, 52] Generated Node #3: [42, 52] from Operation: 92-40...
4
Current State: 94:[40, 2, 92, 40], Operations: [] Exploring Operation: 92-40=52, Resulting Numbers: [40, 2, 52] Generated Node #0,0: 94:[40, 2, 52] Operation: 92-40=52 Exploring Operation: 40/40=1, Resulting Numbers: [2, 92, 1] Generated Node #0,1: 94:[2, 92, 1] Operation: 40/40=1 Exploring Operation: 40-40=0, Resultin...
0.984375
hs_4
sum_heuristic
[ 72, 31, 9, 33 ]
10
[ "72/9=8", "33-31=2", "8+2=10" ]
Current State: 10:[72, 31, 9, 33], Operations: [] Exploring Operation: 72/9=8, Resulting Numbers: [31, 33, 8] Generated Node #2: [31, 33, 8] from Operation: 72/9=8 Current State: 10:[31, 33, 8], Operations: ['72/9=8'] Exploring Operation: 33-31=2, Resulting Numbers: [8, 2] Generated Node #3: [8, 2] from Operation: 33-3...
4
Current State: 10:[72, 31, 9, 33], Operations: [] Exploring Operation: 72/9=8, Resulting Numbers: [31, 33, 8] Generated Node #0,0: 10:[31, 33, 8] Operation: 72/9=8 Moving to Node #0,0 Current State: 10:[31, 33, 8], Operations: ['72/9=8'] Exploring Operation: 33-31=2, Resulting Numbers: [8, 2] Generated Node #0,0,0: 10:...
0.993924
hs_1
mult_heuristic
[ 42, 73, 45, 29 ]
47
[ "73-42=31", "45-29=16", "31+16=47" ]
Current State: 47:[42, 73, 45, 29], Operations: [] Exploring Operation: 73-42=31, Resulting Numbers: [45, 29, 31] Generated Node #2: [45, 29, 31] from Operation: 73-42=31 Current State: 47:[45, 29, 31], Operations: ['73-42=31'] Exploring Operation: 45-29=16, Resulting Numbers: [31, 16] Generated Node #3: [31, 16] from ...
4
Current State: 47:[42, 73, 45, 29], Operations: [] Exploring Operation: 73-42=31, Resulting Numbers: [45, 29, 31] Generated Node #0,0: 47:[45, 29, 31] Operation: 73-42=31 Exploring Operation: 73-29=44, Resulting Numbers: [42, 45, 44] Generated Node #0,1: 47:[42, 45, 44] Operation: 73-29=44 Start Sub Search at level 1: ...
0
hs_2
sum_heuristic
[ 1, 59, 61, 99 ]
21
[ "1*59=59", "99-61=38", "59-38=21" ]
Current State: 21:[1, 59, 61, 99], Operations: [] Exploring Operation: 1*59=59, Resulting Numbers: [61, 99, 59] Generated Node #2: [61, 99, 59] from Operation: 1*59=59 Current State: 21:[61, 99, 59], Operations: ['1*59=59'] Exploring Operation: 99-61=38, Resulting Numbers: [59, 38] Generated Node #3: [59, 38] from Oper...
4
Current State: 21:[1, 59, 61, 99], Operations: [] Exploring Operation: 99-61=38, Resulting Numbers: [1, 59, 38] Generated Node #0,0: 21:[1, 59, 38] Operation: 99-61=38 Moving to Node #0,0 Current State: 21:[1, 59, 38], Operations: ['99-61=38'] Exploring Operation: 59-38=21, Resulting Numbers: [1, 21] Generated Node #0,...
0.993924
hs_1
sum_heuristic
[ 24, 6, 99, 35 ]
41
[ "24/6=4", "35*4=140", "140-99=41" ]
Current State: 41:[24, 6, 99, 35], Operations: [] Exploring Operation: 24/6=4, Resulting Numbers: [99, 35, 4] Generated Node #2: [99, 35, 4] from Operation: 24/6=4 Current State: 41:[99, 35, 4], Operations: ['24/6=4'] Exploring Operation: 35*4=140, Resulting Numbers: [99, 140] Generated Node #3: [99, 140] from Operatio...
4
Current State: 41:[24, 6, 99, 35], Operations: [] Exploring Operation: 99-6=93, Resulting Numbers: [24, 35, 93] Generated Node #0,0: 41:[24, 35, 93] Operation: 99-6=93 Exploring Operation: 24+6=30, Resulting Numbers: [99, 35, 30] Generated Node #0,1: 41:[99, 35, 30] Operation: 24+6=30 Exploring Operation: 99-24=75, Res...
0
hs_4
mult_heuristic
[ 6, 8, 47, 90 ]
90
[ "6*8=48", "48-47=1", "90*1=90" ]
Current State: 90:[6, 8, 47, 90], Operations: [] Exploring Operation: 6*8=48, Resulting Numbers: [47, 90, 48] Generated Node #2: [47, 90, 48] from Operation: 6*8=48 Current State: 90:[47, 90, 48], Operations: ['6*8=48'] Exploring Operation: 48-47=1, Resulting Numbers: [90, 1] Generated Node #3: [90, 1] from Operation: ...
4
Current State: 90:[6, 8, 47, 90], Operations: [] Exploring Operation: 8-6=2, Resulting Numbers: [47, 90, 2] Generated Node #0,0: 90:[47, 90, 2] Operation: 8-6=2 Exploring Operation: 6+8=14, Resulting Numbers: [47, 90, 14] Generated Node #0,1: 90:[47, 90, 14] Operation: 6+8=14 Start Sub Search at level 1: Moving to Node...
0
hs_2
mult_heuristic
[ 23, 76, 73, 82 ]
16
[ "23+73=96", "82-76=6", "96/6=16" ]
Current State: 16:[23, 76, 73, 82], Operations: [] Exploring Operation: 23+73=96, Resulting Numbers: [76, 82, 96] Generated Node #2: [76, 82, 96] from Operation: 23+73=96 Current State: 16:[76, 82, 96], Operations: ['23+73=96'] Exploring Operation: 82-76=6, Resulting Numbers: [96, 6] Generated Node #3: [96, 6] from Ope...
4
Current State: 16:[23, 76, 73, 82], Operations: [] Exploring Operation: 82-76=6, Resulting Numbers: [23, 73, 6] Generated Node #0,0: 16:[23, 73, 6] Operation: 82-76=6 Exploring Operation: 82-73=9, Resulting Numbers: [23, 76, 9] Generated Node #0,1: 16:[23, 76, 9] Operation: 82-73=9 Exploring Operation: 76-73=3, Resulti...
0
hs_3
sum_heuristic
[ 24, 62, 97, 91 ]
66
[ "97-91=6", "24/6=4", "62+4=66" ]
Current State: 66:[24, 62, 97, 91], Operations: [] Exploring Operation: 97-91=6, Resulting Numbers: [24, 62, 6] Generated Node #2: [24, 62, 6] from Operation: 97-91=6 Current State: 66:[24, 62, 6], Operations: ['97-91=6'] Exploring Operation: 24/6=4, Resulting Numbers: [62, 4] Generated Node #3: [62, 4] from Operation:...
4
Current State: 66:[24, 62, 97, 91], Operations: [] Exploring Operation: 97-24=73, Resulting Numbers: [62, 91, 73] Generated Node #0,0: 66:[62, 91, 73] Operation: 97-24=73 Exploring Operation: 91-24=67, Resulting Numbers: [62, 97, 67] Generated Node #0,1: 66:[62, 97, 67] Operation: 91-24=67 Exploring Operation: 97-91=6,...
0.981771
hs_5
sum_heuristic
[ 31, 19, 1, 75 ]
24
[ "31+19=50", "75-1=74", "74-50=24" ]
Current State: 24:[31, 19, 1, 75], Operations: [] Exploring Operation: 31+19=50, Resulting Numbers: [1, 75, 50] Generated Node #2: [1, 75, 50] from Operation: 31+19=50 Current State: 24:[1, 75, 50], Operations: ['31+19=50'] Exploring Operation: 75-1=74, Resulting Numbers: [50, 74] Generated Node #3: [50, 74] from Opera...
4
Current State: 24:[31, 19, 1, 75], Operations: [] Exploring Operation: 75-19=56, Resulting Numbers: [31, 1, 56] Generated Node #0,0: 24:[31, 1, 56] Operation: 75-19=56 Exploring Operation: 31-19=12, Resulting Numbers: [1, 75, 12] Generated Node #0,1: 24:[1, 75, 12] Operation: 31-19=12 Exploring Operation: 75-31=44, Res...
0.986111
hs_4
mult_heuristic
[ 4, 75, 57, 27 ]
90
[ "4*27=108", "75-57=18", "108-18=90" ]
Current State: 90:[4, 75, 57, 27], Operations: [] Exploring Operation: 4*27=108, Resulting Numbers: [75, 57, 108] Generated Node #2: [75, 57, 108] from Operation: 4*27=108 Current State: 90:[75, 57, 108], Operations: ['4*27=108'] Exploring Operation: 75-57=18, Resulting Numbers: [108, 18] Generated Node #3: [108, 18] f...
4
Current State: 90:[4, 75, 57, 27], Operations: [] Exploring Operation: 75-27=48, Resulting Numbers: [4, 57, 48] Generated Node #0,0: 90:[4, 57, 48] Operation: 75-27=48 Exploring Operation: 57-27=30, Resulting Numbers: [4, 75, 30] Generated Node #0,1: 90:[4, 75, 30] Operation: 57-27=30 Exploring Operation: 75-57=18, Res...
0
hs_3
sum_heuristic
[ 23, 74, 13, 15 ]
79
[ "74-23=51", "13+15=28", "51+28=79" ]
Current State: 79:[23, 74, 13, 15], Operations: [] Exploring Operation: 74-23=51, Resulting Numbers: [13, 15, 51] Generated Node #2: [13, 15, 51] from Operation: 74-23=51 Current State: 79:[13, 15, 51], Operations: ['74-23=51'] Exploring Operation: 13+15=28, Resulting Numbers: [51, 28] Generated Node #3: [51, 28] from ...
4
Current State: 79:[23, 74, 13, 15], Operations: [] Exploring Operation: 23+15=38, Resulting Numbers: [74, 13, 38] Generated Node #0,0: 79:[74, 13, 38] Operation: 23+15=38 Exploring Operation: 13+15=28, Resulting Numbers: [23, 74, 28] Generated Node #0,1: 79:[23, 74, 28] Operation: 13+15=28 Exploring Operation: 74+13=87...
0.96441
hs_5
sum_heuristic
[ 3, 27, 12, 15 ]
57
[ "3+27=30", "12+15=27", "30+27=57" ]
Current State: 57:[3, 27, 12, 15], Operations: [] Exploring Operation: 3+27=30, Resulting Numbers: [12, 15, 30] Generated Node #2: [12, 15, 30] from Operation: 3+27=30 Current State: 57:[12, 15, 30], Operations: ['3+27=30'] Exploring Operation: 12+15=27, Resulting Numbers: [30, 27] Generated Node #3: [30, 27] from Oper...
4
Current State: 57:[3, 27, 12, 15], Operations: [] Exploring Operation: 15-12=3, Resulting Numbers: [3, 27, 3] Generated Node #0,0: 57:[3, 27, 3] Operation: 15-12=3 Exploring Operation: 12/3=4, Resulting Numbers: [27, 15, 4] Generated Node #0,1: 57:[27, 15, 4] Operation: 12/3=4 Exploring Operation: 27-15=12, Resulting N...
0
hs_4
sum_heuristic
[ 31, 4, 18, 51 ]
55
[ "31*4=124", "18+51=69", "124-69=55" ]
Current State: 55:[31, 4, 18, 51], Operations: [] Exploring Operation: 31*4=124, Resulting Numbers: [18, 51, 124] Generated Node #2: [18, 51, 124] from Operation: 31*4=124 Current State: 55:[18, 51, 124], Operations: ['31*4=124'] Exploring Operation: 18+51=69, Resulting Numbers: [124, 69] Generated Node #3: [124, 69] f...
4
Current State: 55:[31, 4, 18, 51], Operations: [] Exploring Operation: 31-18=13, Resulting Numbers: [4, 51, 13] Generated Node #0,0: 55:[4, 51, 13] Operation: 31-18=13 Exploring Operation: 18-4=14, Resulting Numbers: [31, 51, 14] Generated Node #0,1: 55:[31, 51, 14] Operation: 18-4=14 Exploring Operation: 31+18=49, Res...
0
hs_5
mult_heuristic
[ 33, 61, 12, 67 ]
83
[ "61-33=28", "67-12=55", "28+55=83" ]
Current State: 83:[33, 61, 12, 67], Operations: [] Exploring Operation: 61-33=28, Resulting Numbers: [12, 67, 28] Generated Node #2: [12, 67, 28] from Operation: 61-33=28 Current State: 83:[12, 67, 28], Operations: ['61-33=28'] Exploring Operation: 67-12=55, Resulting Numbers: [28, 55] Generated Node #3: [28, 55] from ...
4
Current State: 83:[33, 61, 12, 67], Operations: [] Exploring Operation: 12+67=79, Resulting Numbers: [33, 61, 79] Generated Node #0,0: 83:[33, 61, 79] Operation: 12+67=79 Exploring Operation: 61+12=73, Resulting Numbers: [33, 67, 73] Generated Node #0,1: 83:[33, 67, 73] Operation: 61+12=73 Exploring Operation: 33+12=45...
0.962674
hs_3
mult_heuristic
[ 27, 13, 25, 11 ]
76
[ "27+13=40", "25+11=36", "40+36=76" ]
Current State: 76:[27, 13, 25, 11], Operations: [] Exploring Operation: 27+13=40, Resulting Numbers: [25, 11, 40] Generated Node #2: [25, 11, 40] from Operation: 27+13=40 Current State: 76:[25, 11, 40], Operations: ['27+13=40'] Exploring Operation: 25+11=36, Resulting Numbers: [40, 36] Generated Node #3: [40, 36] from ...
4
Current State: 76:[27, 13, 25, 11], Operations: [] Exploring Operation: 27-25=2, Resulting Numbers: [13, 11, 2] Generated Node #0,0: 76:[13, 11, 2] Operation: 27-25=2 Exploring Operation: 27+11=38, Resulting Numbers: [13, 25, 38] Generated Node #0,1: 76:[13, 25, 38] Operation: 27+11=38 Exploring Operation: 13-11=2, Res...
0.988715
hs_3
sum_heuristic
[ 85, 5, 44, 61 ]
88
[ "85/5=17", "44+61=105", "105-17=88" ]
Current State: 88:[85, 5, 44, 61], Operations: [] Exploring Operation: 85/5=17, Resulting Numbers: [44, 61, 17] Generated Node #2: [44, 61, 17] from Operation: 85/5=17 Current State: 88:[44, 61, 17], Operations: ['85/5=17'] Exploring Operation: 44+61=105, Resulting Numbers: [17, 105] Generated Node #3: [17, 105] from O...
4
Current State: 88:[85, 5, 44, 61], Operations: [] Exploring Operation: 85+5=90, Resulting Numbers: [44, 61, 90] Generated Node #0,0: 88:[44, 61, 90] Operation: 85+5=90 Exploring Operation: 61-5=56, Resulting Numbers: [85, 44, 56] Generated Node #0,1: 88:[85, 44, 56] Operation: 61-5=56 Exploring Operation: 61-44=17, Res...
0
hs_4
sum_heuristic
[ 8, 40, 32, 59 ]
59
[ "40-8=32", "32+59=91", "91-32=59" ]
Current State: 59:[8, 40, 32, 59], Operations: [] Exploring Operation: 40-8=32, Resulting Numbers: [32, 59, 32] Generated Node #2: [32, 59, 32] from Operation: 40-8=32 Current State: 59:[32, 59, 32], Operations: ['40-8=32'] Exploring Operation: 32+59=91, Resulting Numbers: [91] 91,59 equal: Goal Reached Exploring Opera...
4
Current State: 59:[8, 40, 32, 59], Operations: [] Exploring Operation: 40-8=32, Resulting Numbers: [32, 59, 32] Generated Node #0,0: 59:[32, 59, 32] Operation: 40-8=32 Exploring Operation: 8+32=40, Resulting Numbers: [40, 59, 40] Generated Node #0,1: 59:[40, 59, 40] Operation: 8+32=40 Exploring Operation: 32-8=24, Resu...
0.984375
hs_5
sum_heuristic
[ 14, 83, 3, 80 ]
59
[ "14+83=97", "80+97=177", "177/3=59" ]
Current State: 59:[14, 83, 3, 80], Operations: [] Exploring Operation: 14+83=97, Resulting Numbers: [3, 80, 97] Generated Node #2: [3, 80, 97] from Operation: 14+83=97 Current State: 59:[3, 80, 97], Operations: ['14+83=97'] Exploring Operation: 80+97=177, Resulting Numbers: [3, 177] Generated Node #3: [3, 177] from Ope...
4
Current State: 59:[14, 83, 3, 80], Operations: [] Exploring Operation: 83-14=69, Resulting Numbers: [3, 80, 69] Generated Node #0,0: 59:[3, 80, 69] Operation: 83-14=69 Exploring Operation: 14*3=42, Resulting Numbers: [83, 80, 42] Generated Node #0,1: 59:[83, 80, 42] Operation: 14*3=42 Moving to Node #0,1 Current State:...
0
hs_2
mult_heuristic
[ 77, 44, 3, 35 ]
60
[ "44*3=132", "35*132=4620", "4620/77=60" ]
Current State: 60:[77, 44, 3, 35], Operations: [] Exploring Operation: 44*3=132, Resulting Numbers: [77, 35, 132] Generated Node #2: [77, 35, 132] from Operation: 44*3=132 Current State: 60:[77, 35, 132], Operations: ['44*3=132'] Exploring Operation: 35*132=4620, Resulting Numbers: [77, 4620] Generated Node #3: [77, 46...
4
Current State: 60:[77, 44, 3, 35], Operations: [] Exploring Operation: 44-3=41, Resulting Numbers: [77, 35, 41] Generated Node #0,0: 60:[77, 35, 41] Operation: 44-3=41 Exploring Operation: 77-44=33, Resulting Numbers: [3, 35, 33] Generated Node #0,1: 60:[3, 35, 33] Operation: 77-44=33 Exploring Operation: 77-35=42, Res...
0
hs_5
sum_heuristic
[ 42, 83, 77, 3 ]
12
[ "83-42=41", "77-41=36", "36/3=12" ]
Current State: 12:[42, 83, 77, 3], Operations: [] Exploring Operation: 83-42=41, Resulting Numbers: [77, 3, 41] Generated Node #2: [77, 3, 41] from Operation: 83-42=41 Current State: 12:[77, 3, 41], Operations: ['83-42=41'] Exploring Operation: 77-41=36, Resulting Numbers: [3, 36] Generated Node #3: [3, 36] from Operat...
4
Current State: 12:[42, 83, 77, 3], Operations: [] Exploring Operation: 77-42=35, Resulting Numbers: [83, 3, 35] Generated Node #0,0: 12:[83, 3, 35] Operation: 77-42=35 Exploring Operation: 83-42=41, Resulting Numbers: [77, 3, 41] Generated Node #0,1: 12:[77, 3, 41] Operation: 83-42=41 Exploring Operation: 83-77=6, Resu...
0.985243
hs_3
mult_heuristic
[ 46, 98, 15, 25 ]
42
[ "98-46=52", "25-15=10", "52-10=42" ]
Current State: 42:[46, 98, 15, 25], Operations: [] Exploring Operation: 98-46=52, Resulting Numbers: [15, 25, 52] Generated Node #2: [15, 25, 52] from Operation: 98-46=52 Current State: 42:[15, 25, 52], Operations: ['98-46=52'] Exploring Operation: 25-15=10, Resulting Numbers: [52, 10] Generated Node #3: [52, 10] from ...
4
Current State: 42:[46, 98, 15, 25], Operations: [] Exploring Operation: 98-15=83, Resulting Numbers: [46, 25, 83] Generated Node #0,0: 42:[46, 25, 83] Operation: 98-15=83 Exploring Operation: 98-46=52, Resulting Numbers: [15, 25, 52] Generated Node #0,1: 42:[15, 25, 52] Operation: 98-46=52 Exploring Operation: 15+25=40...
0.986111
hs_5
sum_heuristic
[ 27, 83, 60, 9 ]
41
[ "27+83=110", "60+9=69", "110-69=41" ]
Current State: 41:[27, 83, 60, 9], Operations: [] Exploring Operation: 27+83=110, Resulting Numbers: [60, 9, 110] Generated Node #2: [60, 9, 110] from Operation: 27+83=110 Current State: 41:[60, 9, 110], Operations: ['27+83=110'] Exploring Operation: 60+9=69, Resulting Numbers: [110, 69] Generated Node #3: [110, 69] fr...
4
Current State: 41:[27, 83, 60, 9], Operations: [] Exploring Operation: 83-27=56, Resulting Numbers: [60, 9, 56] Generated Node #0,0: 41:[60, 9, 56] Operation: 83-27=56 Exploring Operation: 27+9=36, Resulting Numbers: [83, 60, 36] Generated Node #0,1: 41:[83, 60, 36] Operation: 27+9=36 Exploring Operation: 83-60=23, Res...
0.984375
hs_3
sum_heuristic
[ 62, 6, 12, 24 ]
78
[ "62+12=74", "24/6=4", "74+4=78" ]
Current State: 78:[62, 6, 12, 24], Operations: [] Exploring Operation: 62+12=74, Resulting Numbers: [6, 24, 74] Generated Node #2: [6, 24, 74] from Operation: 62+12=74 Current State: 78:[6, 24, 74], Operations: ['62+12=74'] Exploring Operation: 24/6=4, Resulting Numbers: [74, 4] Generated Node #3: [74, 4] from Operatio...
4
Current State: 78:[62, 6, 12, 24], Operations: [] Exploring Operation: 62+6=68, Resulting Numbers: [12, 24, 68] Generated Node #0,0: 78:[12, 24, 68] Operation: 62+6=68 Exploring Operation: 62-24=38, Resulting Numbers: [6, 12, 38] Generated Node #0,1: 78:[6, 12, 38] Operation: 62-24=38 Exploring Operation: 62+12=74, Res...
0.966146
hs_5
mult_heuristic
[ 20, 61, 18, 50 ]
73
[ "61-20=41", "50-18=32", "41+32=73" ]
Current State: 73:[20, 61, 18, 50], Operations: [] Exploring Operation: 61-20=41, Resulting Numbers: [18, 50, 41] Generated Node #2: [18, 50, 41] from Operation: 61-20=41 Current State: 73:[18, 50, 41], Operations: ['61-20=41'] Exploring Operation: 50-18=32, Resulting Numbers: [41, 32] Generated Node #3: [41, 32] from ...
4
Current State: 73:[20, 61, 18, 50], Operations: [] Exploring Operation: 20+50=70, Resulting Numbers: [61, 18, 70] Generated Node #0,0: 73:[61, 18, 70] Operation: 20+50=70 Exploring Operation: 20+18=38, Resulting Numbers: [61, 50, 38] Generated Node #0,1: 73:[61, 50, 38] Operation: 20+18=38 Exploring Operation: 18+50=68...
0.974826
hs_3
sum_heuristic
[ 9, 58, 4, 79 ]
15
[ "9*4=36", "79-58=21", "36-21=15" ]
Current State: 15:[9, 58, 4, 79], Operations: [] Exploring Operation: 9*4=36, Resulting Numbers: [58, 79, 36] Generated Node #2: [58, 79, 36] from Operation: 9*4=36 Current State: 15:[58, 79, 36], Operations: ['9*4=36'] Exploring Operation: 79-58=21, Resulting Numbers: [36, 21] Generated Node #3: [36, 21] from Operatio...
4
Current State: 15:[9, 58, 4, 79], Operations: [] Exploring Operation: 79-9=70, Resulting Numbers: [58, 4, 70] Generated Node #0,0: 15:[58, 4, 70] Operation: 79-9=70 Exploring Operation: 9-4=5, Resulting Numbers: [58, 79, 5] Generated Node #0,1: 15:[58, 79, 5] Operation: 9-4=5 Exploring Operation: 58-4=54, Resulting Num...
0
hs_5
sum_heuristic
[ 82, 72, 10, 56 ]
76
[ "82-72=10", "10+56=66", "10+66=76" ]
Current State: 76:[82, 72, 10, 56], Operations: [] Exploring Operation: 82-72=10, Resulting Numbers: [10, 56, 10] Generated Node #2: [10, 56, 10] from Operation: 82-72=10 Current State: 76:[10, 56, 10], Operations: ['82-72=10'] Exploring Operation: 10+56=66, Resulting Numbers: [66] 66,76 equal: Goal Reached Exploring O...
4
Current State: 76:[82, 72, 10, 56], Operations: [] Exploring Operation: 82-56=26, Resulting Numbers: [72, 10, 26] Generated Node #0,0: 76:[72, 10, 26] Operation: 82-56=26 Exploring Operation: 72-56=16, Resulting Numbers: [82, 10, 16] Generated Node #0,1: 76:[82, 10, 16] Operation: 72-56=16 Moving to Node #0,1 Current S...
0.989583
hs_2
mult_heuristic
[ 34, 21, 45, 47 ]
38
[ "47-45=2", "34/2=17", "21+17=38" ]
Current State: 38:[34, 21, 45, 47], Operations: [] Exploring Operation: 47-45=2, Resulting Numbers: [34, 21, 2] Generated Node #2: [34, 21, 2] from Operation: 47-45=2 Current State: 38:[34, 21, 2], Operations: ['47-45=2'] Exploring Operation: 34/2=17, Resulting Numbers: [21, 17] Generated Node #3: [21, 17] from Operati...
4
Current State: 38:[34, 21, 45, 47], Operations: [] Exploring Operation: 47-34=13, Resulting Numbers: [21, 45, 13] Generated Node #0,0: 38:[21, 45, 13] Operation: 47-34=13 Exploring Operation: 47-45=2, Resulting Numbers: [34, 21, 2] Generated Node #0,1: 38:[34, 21, 2] Operation: 47-45=2 Start Sub Search at level 1: Movi...
0.990451
hs_2
sum_heuristic
[ 27, 23, 71, 51 ]
80
[ "27-23=4", "71-51=20", "4*20=80" ]
Current State: 80:[27, 23, 71, 51], Operations: [] Exploring Operation: 27-23=4, Resulting Numbers: [71, 51, 4] Generated Node #2: [71, 51, 4] from Operation: 27-23=4 Current State: 80:[71, 51, 4], Operations: ['27-23=4'] Exploring Operation: 71-51=20, Resulting Numbers: [4, 20] Generated Node #3: [4, 20] from Operatio...
4
Current State: 80:[27, 23, 71, 51], Operations: [] Exploring Operation: 27+51=78, Resulting Numbers: [23, 71, 78] Generated Node #0,0: 80:[23, 71, 78] Operation: 27+51=78 Exploring Operation: 71-27=44, Resulting Numbers: [23, 51, 44] Generated Node #0,1: 80:[23, 51, 44] Operation: 71-27=44 Exploring Operation: 51-27=24...
0.985243
hs_5
mult_heuristic
[ 49, 15, 49, 92 ]
77
[ "49+15=64", "49+92=141", "141-64=77" ]
Current State: 77:[49, 15, 49, 92], Operations: [] Exploring Operation: 49+15=64, Resulting Numbers: [92, 64] Generated Node #2: [92, 64] from Operation: 49+15=64 Current State: 77:[92, 64], Operations: ['49+15=64'] Exploring Operation: 49+92=141, Resulting Numbers: [64, 141] Generated Node #3: [64, 141] from Operation...
4
Current State: 77:[49, 15, 49, 92], Operations: [] Exploring Operation: 49/49=1, Resulting Numbers: [15, 92, 1] Generated Node #0,0: 77:[15, 92, 1] Operation: 49/49=1 Start Sub Search at level 1: Moving to Node #0,0 Current State: 77:[15, 92, 1], Operations: ['49/49=1'] Exploring Operation: 92-15=77, Resulting Numbers:...
0.993924
hs_1
mult_heuristic
[ 40, 14, 75, 57 ]
36
[ "40+14=54", "75-57=18", "54-18=36" ]
Current State: 36:[40, 14, 75, 57], Operations: [] Exploring Operation: 40+14=54, Resulting Numbers: [75, 57, 54] Generated Node #2: [75, 57, 54] from Operation: 40+14=54 Current State: 36:[75, 57, 54], Operations: ['40+14=54'] Exploring Operation: 75-57=18, Resulting Numbers: [54, 18] Generated Node #3: [54, 18] from ...
4
Current State: 36:[40, 14, 75, 57], Operations: [] Exploring Operation: 75-40=35, Resulting Numbers: [14, 57, 35] Generated Node #0,0: 36:[14, 57, 35] Operation: 75-40=35 Exploring Operation: 75-57=18, Resulting Numbers: [40, 14, 18] Generated Node #0,1: 36:[40, 14, 18] Operation: 75-57=18 Exploring Operation: 57-40=17...
0.986111
hs_4
mult_heuristic
[ 60, 33, 6, 18 ]
71
[ "33*6=198", "198/18=11", "60+11=71" ]
Current State: 71:[60, 33, 6, 18], Operations: [] Exploring Operation: 33*6=198, Resulting Numbers: [60, 18, 198] Generated Node #2: [60, 18, 198] from Operation: 33*6=198 Current State: 71:[60, 18, 198], Operations: ['33*6=198'] Exploring Operation: 198/18=11, Resulting Numbers: [60, 11] Generated Node #3: [60, 11] fr...
4
Current State: 71:[60, 33, 6, 18], Operations: [] Exploring Operation: 6*18=108, Resulting Numbers: [60, 33, 108] Generated Node #0,0: 71:[60, 33, 108] Operation: 6*18=108 Start Sub Search at level 1: Moving to Node #0,0 Current State: 71:[60, 33, 108], Operations: ['6*18=108'] Exploring Operation: 108-33=75, Resulting...
0
hs_1
sum_heuristic
[ 24, 77, 98, 98 ]
54
[ "77-24=53", "98/98=1", "53+1=54" ]
Current State: 54:[24, 77, 98, 98], Operations: [] Exploring Operation: 77-24=53, Resulting Numbers: [98, 98, 53] Generated Node #2: [98, 98, 53] from Operation: 77-24=53 Current State: 54:[98, 98, 53], Operations: ['77-24=53'] Exploring Operation: 98/98=1, Resulting Numbers: [53, 1] Generated Node #3: [53, 1] from Ope...
4
Current State: 54:[24, 77, 98, 98], Operations: [] Exploring Operation: 98/98=1, Resulting Numbers: [24, 77, 1] Generated Node #0,0: 54:[24, 77, 1] Operation: 98/98=1 Exploring Operation: 98-77=21, Resulting Numbers: [24, 98, 21] Generated Node #0,1: 54:[24, 98, 21] Operation: 98-77=21 Exploring Operation: 98-98=0, Res...
0.988715
hs_3
sum_heuristic
[ 11, 51, 68, 24 ]
30
[ "11+51=62", "68+24=92", "92-62=30" ]
Current State: 30:[11, 51, 68, 24], Operations: [] Exploring Operation: 11+51=62, Resulting Numbers: [68, 24, 62] Generated Node #2: [68, 24, 62] from Operation: 11+51=62 Current State: 30:[68, 24, 62], Operations: ['11+51=62'] Exploring Operation: 68+24=92, Resulting Numbers: [62, 92] Generated Node #3: [62, 92] from ...
4
Current State: 30:[11, 51, 68, 24], Operations: [] Exploring Operation: 51-11=40, Resulting Numbers: [68, 24, 40] Generated Node #0,0: 30:[68, 24, 40] Operation: 51-11=40 Exploring Operation: 51-24=27, Resulting Numbers: [11, 68, 27] Generated Node #0,1: 30:[11, 68, 27] Operation: 51-24=27 Exploring Operation: 68-24=44...
0.985243
hs_4
sum_heuristic
[ 68, 3, 97, 15 ]
72
[ "97-68=29", "3*29=87", "87-15=72" ]
Current State: 72:[68, 3, 97, 15], Operations: [] Exploring Operation: 97-68=29, Resulting Numbers: [3, 15, 29] Generated Node #2: [3, 15, 29] from Operation: 97-68=29 Current State: 72:[3, 15, 29], Operations: ['97-68=29'] Exploring Operation: 3*29=87, Resulting Numbers: [15, 87] Generated Node #3: [15, 87] from Opera...
4
Current State: 72:[68, 3, 97, 15], Operations: [] Exploring Operation: 97-15=82, Resulting Numbers: [68, 3, 82] Generated Node #0,0: 72:[68, 3, 82] Operation: 97-15=82 Exploring Operation: 97-68=29, Resulting Numbers: [3, 15, 29] Generated Node #0,1: 72:[3, 15, 29] Operation: 97-68=29 Moving to Node #0,1 Current State:...
0
hs_2
mult_heuristic
[ 94, 28, 73, 47 ]
92
[ "94-28=66", "73-47=26", "66+26=92" ]
Current State: 92:[94, 28, 73, 47], Operations: [] Exploring Operation: 94-28=66, Resulting Numbers: [73, 47, 66] Generated Node #2: [73, 47, 66] from Operation: 94-28=66 Current State: 92:[73, 47, 66], Operations: ['94-28=66'] Exploring Operation: 73-47=26, Resulting Numbers: [66, 26] Generated Node #3: [66, 26] from ...
4
Current State: 92:[94, 28, 73, 47], Operations: [] Exploring Operation: 94-73=21, Resulting Numbers: [28, 47, 21] Generated Node #0,0: 92:[28, 47, 21] Operation: 94-73=21 Exploring Operation: 73-28=45, Resulting Numbers: [94, 47, 45] Generated Node #0,1: 92:[94, 47, 45] Operation: 73-28=45 Exploring Operation: 28+73=10...
0.9375
hs_5
mult_heuristic
[ 58, 87, 3, 54 ]
83
[ "58+54=112", "87/3=29", "112-29=83" ]
Current State: 83:[58, 87, 3, 54], Operations: [] Exploring Operation: 58+54=112, Resulting Numbers: [87, 3, 112] Generated Node #2: [87, 3, 112] from Operation: 58+54=112 Current State: 83:[87, 3, 112], Operations: ['58+54=112'] Exploring Operation: 87/3=29, Resulting Numbers: [112, 29] Generated Node #3: [112, 29] fr...
4
Current State: 83:[58, 87, 3, 54], Operations: [] Exploring Operation: 3+54=57, Resulting Numbers: [58, 87, 57] Generated Node #0,0: 83:[58, 87, 57] Operation: 3+54=57 Exploring Operation: 87-3=84, Resulting Numbers: [58, 54, 84] Generated Node #0,1: 83:[58, 54, 84] Operation: 87-3=84 Exploring Operation: 58+3=61, Resu...
0
hs_3
mult_heuristic
[ 35, 44, 77, 40 ]
38
[ "35+44=79", "77+40=117", "117-79=38" ]
Current State: 38:[35, 44, 77, 40], Operations: [] Exploring Operation: 35+44=79, Resulting Numbers: [77, 40, 79] Generated Node #2: [77, 40, 79] from Operation: 35+44=79 Current State: 38:[77, 40, 79], Operations: ['35+44=79'] Exploring Operation: 77+40=117, Resulting Numbers: [79, 117] Generated Node #3: [79, 117] fr...
4
Current State: 38:[35, 44, 77, 40], Operations: [] Exploring Operation: 77-40=37, Resulting Numbers: [35, 44, 37] Generated Node #0,0: 38:[35, 44, 37] Operation: 77-40=37 Exploring Operation: 77-35=42, Resulting Numbers: [44, 40, 42] Generated Node #0,1: 38:[44, 40, 42] Operation: 77-35=42 Exploring Operation: 44-40=4,...
0.971354
hs_4
sum_heuristic
[ 34, 14, 21, 66 ]
65
[ "34-14=20", "66-21=45", "20+45=65" ]
Current State: 65:[34, 14, 21, 66], Operations: [] Exploring Operation: 34-14=20, Resulting Numbers: [21, 66, 20] Generated Node #2: [21, 66, 20] from Operation: 34-14=20 Current State: 65:[21, 66, 20], Operations: ['34-14=20'] Exploring Operation: 66-21=45, Resulting Numbers: [20, 45] Generated Node #3: [20, 45] from ...
4
Current State: 65:[34, 14, 21, 66], Operations: [] Exploring Operation: 34+21=55, Resulting Numbers: [14, 66, 55] Generated Node #0,0: 65:[14, 66, 55] Operation: 34+21=55 Exploring Operation: 21-14=7, Resulting Numbers: [34, 66, 7] Generated Node #0,1: 65:[34, 66, 7] Operation: 21-14=7 Exploring Operation: 34-14=20, Re...
0.986979
hs_4
sum_heuristic
[ 86, 27, 85, 3 ]
80
[ "86-85=1", "27*3=81", "81-1=80" ]
Current State: 80:[86, 27, 85, 3], Operations: [] Exploring Operation: 86-85=1, Resulting Numbers: [27, 3, 1] Generated Node #2: [27, 3, 1] from Operation: 86-85=1 Current State: 80:[27, 3, 1], Operations: ['86-85=1'] Exploring Operation: 27*3=81, Resulting Numbers: [1, 81] Generated Node #3: [1, 81] from Operation: 27...
4
Current State: 80:[86, 27, 85, 3], Operations: [] Exploring Operation: 86-85=1, Resulting Numbers: [27, 3, 1] Generated Node #0,0: 80:[27, 3, 1] Operation: 86-85=1 Start Sub Search at level 1: Moving to Node #0,0 Current State: 80:[27, 3, 1], Operations: ['86-85=1'] Exploring Operation: 27*3=81, Resulting Numbers: [1, ...
0.993924
hs_1
mult_heuristic
[ 73, 37, 65, 19 ]
48
[ "73-37=36", "65+19=84", "84-36=48" ]
Current State: 48:[73, 37, 65, 19], Operations: [] Exploring Operation: 73-37=36, Resulting Numbers: [65, 19, 36] Generated Node #2: [65, 19, 36] from Operation: 73-37=36 Current State: 48:[65, 19, 36], Operations: ['73-37=36'] Exploring Operation: 65+19=84, Resulting Numbers: [36, 84] Generated Node #3: [36, 84] from ...
4
Current State: 48:[73, 37, 65, 19], Operations: [] Exploring Operation: 73-37=36, Resulting Numbers: [65, 19, 36] Generated Node #0,0: 48:[65, 19, 36] Operation: 73-37=36 Exploring Operation: 73-65=8, Resulting Numbers: [37, 19, 8] Generated Node #0,1: 48:[37, 19, 8] Operation: 73-65=8 Start Sub Search at level 1: Movi...
0.986111
hs_2
mult_heuristic
[ 56, 23, 34, 9 ]
43
[ "34-23=11", "9*11=99", "99-56=43" ]
Current State: 43:[56, 23, 34, 9], Operations: [] Exploring Operation: 34-23=11, Resulting Numbers: [56, 9, 11] Generated Node #2: [56, 9, 11] from Operation: 34-23=11 Current State: 43:[56, 9, 11], Operations: ['34-23=11'] Exploring Operation: 9*11=99, Resulting Numbers: [56, 99] Generated Node #3: [56, 99] from Opera...
4
Current State: 43:[56, 23, 34, 9], Operations: [] Exploring Operation: 56-9=47, Resulting Numbers: [23, 34, 47] Generated Node #0,0: 43:[23, 34, 47] Operation: 56-9=47 Start Sub Search at level 1: Moving to Node #0,0 Current State: 43:[23, 34, 47], Operations: ['56-9=47'] Exploring Operation: 23+34=57, Resulting Number...
0
hs_1
mult_heuristic
[ 19, 69, 68, 70 ]
25
[ "69-19=50", "70-68=2", "50/2=25" ]
Current State: 25:[19, 69, 68, 70], Operations: [] Exploring Operation: 69-19=50, Resulting Numbers: [68, 70, 50] Generated Node #2: [68, 70, 50] from Operation: 69-19=50 Current State: 25:[68, 70, 50], Operations: ['69-19=50'] Exploring Operation: 70-68=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Ope...
4
Current State: 25:[19, 69, 68, 70], Operations: [] Exploring Operation: 70-69=1, Resulting Numbers: [19, 68, 1] Generated Node #0,0: 25:[19, 68, 1] Operation: 70-69=1 Start Sub Search at level 1: Moving to Node #0,0 Current State: 25:[19, 68, 1], Operations: ['70-69=1'] Exploring Operation: 68-19=49, Resulting Numbers:...
0
hs_1
mult_heuristic
[ 8, 10, 17, 7 ]
57
[ "17-10=7", "7*7=49", "8+49=57" ]
Current State: 57:[8, 10, 17, 7], Operations: [] Exploring Operation: 17-10=7, Resulting Numbers: [8, 7, 7] Generated Node #2: [8, 7, 7] from Operation: 17-10=7 Current State: 57:[8, 7, 7], Operations: ['17-10=7'] Exploring Operation: 7*7=49, Resulting Numbers: [8, 49] Generated Node #3: [8, 49] from Operation: 7*7=49 ...
4
Current State: 57:[8, 10, 17, 7], Operations: [] Exploring Operation: 10-8=2, Resulting Numbers: [17, 7, 2] Generated Node #0,0: 57:[17, 7, 2] Operation: 10-8=2 Exploring Operation: 10-7=3, Resulting Numbers: [8, 17, 3] Generated Node #0,1: 57:[8, 17, 3] Operation: 10-7=3 Exploring Operation: 10+7=17, Resulting Numbers...
0
hs_4
sum_heuristic
[ 40, 43, 30, 17 ]
42
[ "43+17=60", "60/30=2", "40+2=42" ]
Current State: 42:[40, 43, 30, 17], Operations: [] Exploring Operation: 43+17=60, Resulting Numbers: [40, 30, 60] Generated Node #2: [40, 30, 60] from Operation: 43+17=60 Current State: 42:[40, 30, 60], Operations: ['43+17=60'] Exploring Operation: 60/30=2, Resulting Numbers: [40, 2] Generated Node #3: [40, 2] from Ope...
4
Current State: 42:[40, 43, 30, 17], Operations: [] Exploring Operation: 40-30=10, Resulting Numbers: [43, 17, 10] Generated Node #0,0: 42:[43, 17, 10] Operation: 40-30=10 Exploring Operation: 43-30=13, Resulting Numbers: [40, 17, 13] Generated Node #0,1: 42:[40, 17, 13] Operation: 43-30=13 Exploring Operation: 30-17=13...
0
hs_3
mult_heuristic
[ 41, 84, 24, 72 ]
82
[ "41*24=984", "84-72=12", "984/12=82" ]
Current State: 82:[41, 84, 24, 72], Operations: [] Exploring Operation: 41*24=984, Resulting Numbers: [84, 72, 984] Generated Node #2: [84, 72, 984] from Operation: 41*24=984 Current State: 82:[84, 72, 984], Operations: ['41*24=984'] Exploring Operation: 84-72=12, Resulting Numbers: [984, 12] Generated Node #3: [984, 1...
4
Current State: 82:[41, 84, 24, 72], Operations: [] Exploring Operation: 72-24=48, Resulting Numbers: [41, 84, 48] Generated Node #0,0: 82:[41, 84, 48] Operation: 72-24=48 Exploring Operation: 72/24=3, Resulting Numbers: [41, 84, 3] Generated Node #0,1: 82:[41, 84, 3] Operation: 72/24=3 Exploring Operation: 24+72=96, Re...
0
hs_3
mult_heuristic
[ 90, 8, 31, 60 ]
19
[ "90*8=720", "720/60=12", "31-12=19" ]
Current State: 19:[90, 8, 31, 60], Operations: [] Exploring Operation: 90*8=720, Resulting Numbers: [31, 60, 720] Generated Node #2: [31, 60, 720] from Operation: 90*8=720 Current State: 19:[31, 60, 720], Operations: ['90*8=720'] Exploring Operation: 720/60=12, Resulting Numbers: [31, 12] Generated Node #3: [31, 12] fr...
4
Current State: 19:[90, 8, 31, 60], Operations: [] Exploring Operation: 90-31=59, Resulting Numbers: [8, 60, 59] Generated Node #0,0: 19:[8, 60, 59] Operation: 90-31=59 Exploring Operation: 90-60=30, Resulting Numbers: [8, 31, 30] Generated Node #0,1: 19:[8, 31, 30] Operation: 90-60=30 Moving to Node #0,1 Current State:...
0
hs_2
sum_heuristic
[ 16, 53, 6, 38 ]
51
[ "38-6=32", "32/16=2", "53-2=51" ]
Current State: 51:[16, 53, 6, 38], Operations: [] Exploring Operation: 38-6=32, Resulting Numbers: [16, 53, 32] Generated Node #2: [16, 53, 32] from Operation: 38-6=32 Current State: 51:[16, 53, 32], Operations: ['38-6=32'] Exploring Operation: 32/16=2, Resulting Numbers: [53, 2] Generated Node #3: [53, 2] from Operati...
4
Current State: 51:[16, 53, 6, 38], Operations: [] Exploring Operation: 6+38=44, Resulting Numbers: [16, 53, 44] Generated Node #0,0: 51:[16, 53, 44] Operation: 6+38=44 Exploring Operation: 53-38=15, Resulting Numbers: [16, 6, 15] Generated Node #0,1: 51:[16, 6, 15] Operation: 53-38=15 Exploring Operation: 16+38=54, Res...
0
hs_5
mult_heuristic
[ 2, 5, 69, 45 ]
68
[ "5-2=3", "69/3=23", "45+23=68" ]
Current State: 68:[2, 5, 69, 45], Operations: [] Exploring Operation: 5-2=3, Resulting Numbers: [69, 45, 3] Generated Node #2: [69, 45, 3] from Operation: 5-2=3 Current State: 68:[69, 45, 3], Operations: ['5-2=3'] Exploring Operation: 69/3=23, Resulting Numbers: [45, 23] Generated Node #3: [45, 23] from Operation: 69/3...
4
Current State: 68:[2, 5, 69, 45], Operations: [] Exploring Operation: 45/5=9, Resulting Numbers: [2, 69, 9] Generated Node #0,0: 68:[2, 69, 9] Operation: 45/5=9 Moving to Node #0,0 Current State: 68:[2, 69, 9], Operations: ['45/5=9'] Exploring Operation: 2*9=18, Resulting Numbers: [69, 18] Generated Node #0,0,0: 68:[69...
0
hs_1
sum_heuristic
[ 90, 37, 55, 56 ]
52
[ "90-37=53", "56-55=1", "53-1=52" ]
Current State: 52:[90, 37, 55, 56], Operations: [] Exploring Operation: 90-37=53, Resulting Numbers: [55, 56, 53] Generated Node #2: [55, 56, 53] from Operation: 90-37=53 Current State: 52:[55, 56, 53], Operations: ['90-37=53'] Exploring Operation: 56-55=1, Resulting Numbers: [53, 1] Generated Node #3: [53, 1] from Ope...
4
Current State: 52:[90, 37, 55, 56], Operations: [] Exploring Operation: 56-37=19, Resulting Numbers: [90, 55, 19] Generated Node #0,0: 52:[90, 55, 19] Operation: 56-37=19 Exploring Operation: 90-37=53, Resulting Numbers: [55, 56, 53] Generated Node #0,1: 52:[55, 56, 53] Operation: 90-37=53 Exploring Operation: 55-37=18...
0.986111
hs_5
mult_heuristic
[ 40, 25, 10, 16 ]
14
[ "40+10=50", "50/25=2", "16-2=14" ]
Current State: 14:[40, 25, 10, 16], Operations: [] Exploring Operation: 40+10=50, Resulting Numbers: [25, 16, 50] Generated Node #2: [25, 16, 50] from Operation: 40+10=50 Current State: 14:[25, 16, 50], Operations: ['40+10=50'] Exploring Operation: 50/25=2, Resulting Numbers: [16, 2] Generated Node #3: [16, 2] from Ope...
4
Current State: 14:[40, 25, 10, 16], Operations: [] Exploring Operation: 40-10=30, Resulting Numbers: [25, 16, 30] Generated Node #0,0: 14:[25, 16, 30] Operation: 40-10=30 Exploring Operation: 25-10=15, Resulting Numbers: [40, 16, 15] Generated Node #0,1: 14:[40, 16, 15] Operation: 25-10=15 Exploring Operation: 40-25=15...
0
hs_5
mult_heuristic
[ 9, 64, 45, 63 ]
53
[ "64-9=55", "45+63=108", "108-55=53" ]
Current State: 53:[9, 64, 45, 63], Operations: [] Exploring Operation: 64-9=55, Resulting Numbers: [45, 63, 55] Generated Node #2: [45, 63, 55] from Operation: 64-9=55 Current State: 53:[45, 63, 55], Operations: ['64-9=55'] Exploring Operation: 45+63=108, Resulting Numbers: [55, 108] Generated Node #3: [55, 108] from O...
4
Current State: 53:[9, 64, 45, 63], Operations: [] Exploring Operation: 63-9=54, Resulting Numbers: [64, 45, 54] Generated Node #0,0: 53:[64, 45, 54] Operation: 63-9=54 Exploring Operation: 64-9=55, Resulting Numbers: [45, 63, 55] Generated Node #0,1: 53:[45, 63, 55] Operation: 64-9=55 Exploring Operation: 9+45=54, Resu...
0.975694
hs_3
mult_heuristic
[ 49, 63, 98, 12 ]
28
[ "49+98=147", "12*147=1764", "1764/63=28" ]
Current State: 28:[49, 63, 98, 12], Operations: [] Exploring Operation: 49+98=147, Resulting Numbers: [63, 12, 147] Generated Node #2: [63, 12, 147] from Operation: 49+98=147 Current State: 28:[63, 12, 147], Operations: ['49+98=147'] Exploring Operation: 12*147=1764, Resulting Numbers: [63, 1764] Generated Node #3: [63...
4
Current State: 28:[49, 63, 98, 12], Operations: [] Exploring Operation: 98-63=35, Resulting Numbers: [49, 12, 35] Generated Node #0,0: 28:[49, 12, 35] Operation: 98-63=35 Exploring Operation: 98/49=2, Resulting Numbers: [63, 12, 2] Generated Node #0,1: 28:[63, 12, 2] Operation: 98/49=2 Moving to Node #0,0 Current State...
0
hs_2
mult_heuristic
[ 67, 68, 93, 63 ]
31
[ "68-67=1", "93-63=30", "1+30=31" ]
Current State: 31:[67, 68, 93, 63], Operations: [] Exploring Operation: 68-67=1, Resulting Numbers: [93, 63, 1] Generated Node #2: [93, 63, 1] from Operation: 68-67=1 Current State: 31:[93, 63, 1], Operations: ['68-67=1'] Exploring Operation: 93-63=30, Resulting Numbers: [1, 30] Generated Node #3: [1, 30] from Operatio...
4
Current State: 31:[67, 68, 93, 63], Operations: [] Exploring Operation: 93-67=26, Resulting Numbers: [68, 63, 26] Generated Node #0,0: 31:[68, 63, 26] Operation: 93-67=26 Exploring Operation: 68-67=1, Resulting Numbers: [93, 63, 1] Generated Node #0,1: 31:[93, 63, 1] Operation: 68-67=1 Exploring Operation: 93-63=30, Re...
0.985243
hs_5
mult_heuristic
[ 51, 73, 42, 73 ]
94
[ "51+42=93", "73/73=1", "93+1=94" ]
Current State: 94:[51, 73, 42, 73], Operations: [] Exploring Operation: 51+42=93, Resulting Numbers: [73, 73, 93] Generated Node #2: [73, 73, 93] from Operation: 51+42=93 Current State: 94:[73, 73, 93], Operations: ['51+42=93'] Exploring Operation: 73/73=1, Resulting Numbers: [93, 1] Generated Node #3: [93, 1] from Ope...
4
Current State: 94:[51, 73, 42, 73], Operations: [] Exploring Operation: 73-73=0, Resulting Numbers: [51, 42, 0] Generated Node #0,0: 94:[51, 42, 0] Operation: 73-73=0 Exploring Operation: 73/73=1, Resulting Numbers: [51, 42, 1] Generated Node #0,1: 94:[51, 42, 1] Operation: 73/73=1 Start Sub Search at level 1: Moving t...
0.991319
hs_2
mult_heuristic
[ 32, 47, 46, 22 ]
10
[ "32-22=10", "47-46=1", "10*1=10" ]
Current State: 10:[32, 47, 46, 22], Operations: [] Exploring Operation: 32-22=10, Resulting Numbers: [47, 46, 10] Generated Node #2: [47, 46, 10] from Operation: 32-22=10 Current State: 10:[47, 46, 10], Operations: ['32-22=10'] Exploring Operation: 47-46=1, Resulting Numbers: [10, 1] Generated Node #3: [10, 1] from Ope...
4
Current State: 10:[32, 47, 46, 22], Operations: [] Exploring Operation: 47-46=1, Resulting Numbers: [32, 22, 1] Generated Node #0,0: 10:[32, 22, 1] Operation: 47-46=1 Moving to Node #0,0 Current State: 10:[32, 22, 1], Operations: ['47-46=1'] Exploring Operation: 32-22=10, Resulting Numbers: [1, 10] Generated Node #0,0,...
0.993924
hs_1
mult_heuristic
[ 64, 43, 73, 23 ]
71
[ "64-43=21", "73-23=50", "21+50=71" ]
Current State: 71:[64, 43, 73, 23], Operations: [] Exploring Operation: 64-43=21, Resulting Numbers: [73, 23, 21] Generated Node #2: [73, 23, 21] from Operation: 64-43=21 Current State: 71:[73, 23, 21], Operations: ['64-43=21'] Exploring Operation: 73-23=50, Resulting Numbers: [21, 50] Generated Node #3: [21, 50] from ...
4
Current State: 71:[64, 43, 73, 23], Operations: [] Exploring Operation: 43+23=66, Resulting Numbers: [64, 73, 66] Generated Node #0,0: 71:[64, 73, 66] Operation: 43+23=66 Start Sub Search at level 1: Moving to Node #0,0 Current State: 71:[64, 73, 66], Operations: ['43+23=66'] Exploring Operation: 64+66=130, Resulting N...
0
hs_1
sum_heuristic
[ 74, 91, 27, 74 ]
63
[ "74/74=1", "91-27=64", "64-1=63" ]
Current State: 63:[74, 91, 27, 74], Operations: [] Exploring Operation: 74/74=1, Resulting Numbers: [91, 27, 1] Generated Node #2: [91, 27, 1] from Operation: 74/74=1 Current State: 63:[91, 27, 1], Operations: ['74/74=1'] Exploring Operation: 91-27=64, Resulting Numbers: [1, 64] Generated Node #3: [1, 64] from Operatio...
4
Current State: 63:[74, 91, 27, 74], Operations: [] Exploring Operation: 74/74=1, Resulting Numbers: [91, 27, 1] Generated Node #0,0: 63:[91, 27, 1] Operation: 74/74=1 Exploring Operation: 91-74=17, Resulting Numbers: [74, 27, 17] Generated Node #0,1: 63:[74, 27, 17] Operation: 91-74=17 Exploring Operation: 74-74=0, Res...
0.927951
hs_5
mult_heuristic
[ 33, 77, 51, 85 ]
76
[ "33+77=110", "85-51=34", "110-34=76" ]
Current State: 76:[33, 77, 51, 85], Operations: [] Exploring Operation: 33+77=110, Resulting Numbers: [51, 85, 110] Generated Node #2: [51, 85, 110] from Operation: 33+77=110 Current State: 76:[51, 85, 110], Operations: ['33+77=110'] Exploring Operation: 85-51=34, Resulting Numbers: [110, 34] Generated Node #3: [110, 3...
4
Current State: 76:[33, 77, 51, 85], Operations: [] Exploring Operation: 85-51=34, Resulting Numbers: [33, 77, 34] Generated Node #0,0: 76:[33, 77, 34] Operation: 85-51=34 Start Sub Search at level 1: Moving to Node #0,0 Current State: 76:[33, 77, 34], Operations: ['85-51=34'] Exploring Operation: 34-33=1, Resulting Num...
0.993924
hs_1
sum_heuristic
[ 15, 2, 12, 11 ]
45
[ "2+12=14", "14-11=3", "15*3=45" ]
Current State: 45:[15, 2, 12, 11], Operations: [] Exploring Operation: 2+12=14, Resulting Numbers: [15, 11, 14] Generated Node #2: [15, 11, 14] from Operation: 2+12=14 Current State: 45:[15, 11, 14], Operations: ['2+12=14'] Exploring Operation: 14-11=3, Resulting Numbers: [15, 3] Generated Node #3: [15, 3] from Operati...
4
Current State: 45:[15, 2, 12, 11], Operations: [] Exploring Operation: 11-2=9, Resulting Numbers: [15, 12, 9] Generated Node #0,0: 45:[15, 12, 9] Operation: 11-2=9 Exploring Operation: 15-12=3, Resulting Numbers: [2, 11, 3] Generated Node #0,1: 45:[2, 11, 3] Operation: 15-12=3 Exploring Operation: 12/2=6, Resulting Num...
0.980903
hs_5
mult_heuristic
[ 46, 81, 44, 3 ]
54
[ "46-44=2", "81/3=27", "2*27=54" ]
Current State: 54:[46, 81, 44, 3], Operations: [] Exploring Operation: 46-44=2, Resulting Numbers: [81, 3, 2] Generated Node #2: [81, 3, 2] from Operation: 46-44=2 Current State: 54:[81, 3, 2], Operations: ['46-44=2'] Exploring Operation: 81/3=27, Resulting Numbers: [2, 27] Generated Node #3: [2, 27] from Operation: 81...
4
Current State: 54:[46, 81, 44, 3], Operations: [] Exploring Operation: 81-46=35, Resulting Numbers: [44, 3, 35] Generated Node #0,0: 54:[44, 3, 35] Operation: 81-46=35 Exploring Operation: 81/3=27, Resulting Numbers: [46, 44, 27] Generated Node #0,1: 54:[46, 44, 27] Operation: 81/3=27 Exploring Operation: 81-44=37, Res...
0.980035
hs_3
mult_heuristic
[ 42, 16, 44, 40 ]
61
[ "42*40=1680", "1680/16=105", "105-44=61" ]
Current State: 61:[42, 16, 44, 40], Operations: [] Exploring Operation: 42*40=1680, Resulting Numbers: [16, 44, 1680] Generated Node #2: [16, 44, 1680] from Operation: 42*40=1680 Current State: 61:[16, 44, 1680], Operations: ['42*40=1680'] Exploring Operation: 1680/16=105, Resulting Numbers: [44, 105] Generated Node #3...
4
Current State: 61:[42, 16, 44, 40], Operations: [] Exploring Operation: 42+16=58, Resulting Numbers: [44, 40, 58] Generated Node #0,0: 61:[44, 40, 58] Operation: 42+16=58 Exploring Operation: 16+44=60, Resulting Numbers: [42, 40, 60] Generated Node #0,1: 61:[42, 40, 60] Operation: 16+44=60 Exploring Operation: 16+40=56...
0
hs_3
mult_heuristic
[ 26, 68, 24, 20 ]
76
[ "26-20=6", "24*6=144", "144-68=76" ]
Current State: 76:[26, 68, 24, 20], Operations: [] Exploring Operation: 26-20=6, Resulting Numbers: [68, 24, 6] Generated Node #2: [68, 24, 6] from Operation: 26-20=6 Current State: 76:[68, 24, 6], Operations: ['26-20=6'] Exploring Operation: 24*6=144, Resulting Numbers: [68, 144] Generated Node #3: [68, 144] from Oper...
4
Current State: 76:[26, 68, 24, 20], Operations: [] Exploring Operation: 68-24=44, Resulting Numbers: [26, 20, 44] Generated Node #0,0: 76:[26, 20, 44] Operation: 68-24=44 Exploring Operation: 68-26=42, Resulting Numbers: [24, 20, 42] Generated Node #0,1: 76:[24, 20, 42] Operation: 68-26=42 Exploring Operation: 26-24=2,...
0
hs_5
mult_heuristic
[ 1, 45, 4, 44 ]
22
[ "45-1=44", "44+44=88", "88/4=22" ]
Current State: 22:[1, 45, 4, 44], Operations: [] Exploring Operation: 45-1=44, Resulting Numbers: [4, 44, 44] Generated Node #2: [4, 44, 44] from Operation: 45-1=44 Current State: 22:[4, 44, 44], Operations: ['45-1=44'] Exploring Operation: 44+44=88, Resulting Numbers: [4, 88] Generated Node #3: [4, 88] from Operation:...
4
Current State: 22:[1, 45, 4, 44], Operations: [] Exploring Operation: 45-44=1, Resulting Numbers: [1, 4, 1] Generated Node #0,0: 22:[1, 4, 1] Operation: 45-44=1 Start Sub Search at level 1: Moving to Node #0,0 Current State: 22:[1, 4, 1], Operations: ['45-44=1'] Exploring Operation: 4-1=3, Resulting Numbers: [1, 3] Gen...
0
hs_1
sum_heuristic
[ 92, 46, 82, 3 ]
83
[ "92/46=2", "82+3=85", "85-2=83" ]
Current State: 83:[92, 46, 82, 3], Operations: [] Exploring Operation: 92/46=2, Resulting Numbers: [82, 3, 2] Generated Node #2: [82, 3, 2] from Operation: 92/46=2 Current State: 83:[82, 3, 2], Operations: ['92/46=2'] Exploring Operation: 82+3=85, Resulting Numbers: [2, 85] Generated Node #3: [2, 85] from Operation: 82...
4
Current State: 83:[92, 46, 82, 3], Operations: [] Exploring Operation: 92-3=89, Resulting Numbers: [46, 82, 89] Generated Node #0,0: 83:[46, 82, 89] Operation: 92-3=89 Exploring Operation: 46-3=43, Resulting Numbers: [92, 82, 43] Generated Node #0,1: 83:[92, 82, 43] Operation: 46-3=43 Exploring Operation: 46+3=49, Resu...
0.94184
hs_5
mult_heuristic
[ 5, 30, 34, 32 ]
60
[ "30/5=6", "34+32=66", "66-6=60" ]
Current State: 60:[5, 30, 34, 32], Operations: [] Exploring Operation: 30/5=6, Resulting Numbers: [34, 32, 6] Generated Node #2: [34, 32, 6] from Operation: 30/5=6 Current State: 60:[34, 32, 6], Operations: ['30/5=6'] Exploring Operation: 34+32=66, Resulting Numbers: [6, 66] Generated Node #3: [6, 66] from Operation: 3...
4
Current State: 60:[5, 30, 34, 32], Operations: [] Exploring Operation: 34-5=29, Resulting Numbers: [30, 32, 29] Generated Node #0,0: 60:[30, 32, 29] Operation: 34-5=29 Exploring Operation: 34-32=2, Resulting Numbers: [5, 30, 2] Generated Node #0,1: 60:[5, 30, 2] Operation: 34-32=2 Exploring Operation: 32-30=2, Resultin...
0.934028
hs_5
sum_heuristic
[ 48, 4, 26, 8 ]
62
[ "48-4=44", "26-8=18", "44+18=62" ]
Current State: 62:[48, 4, 26, 8], Operations: [] Exploring Operation: 48-4=44, Resulting Numbers: [26, 8, 44] Generated Node #2: [26, 8, 44] from Operation: 48-4=44 Current State: 62:[26, 8, 44], Operations: ['48-4=44'] Exploring Operation: 26-8=18, Resulting Numbers: [44, 18] Generated Node #3: [44, 18] from Operation...
4
Current State: 62:[48, 4, 26, 8], Operations: [] Exploring Operation: 48/8=6, Resulting Numbers: [4, 26, 6] Generated Node #0,0: 62:[4, 26, 6] Operation: 48/8=6 Start Sub Search at level 1: Moving to Node #0,0 Current State: 62:[4, 26, 6], Operations: ['48/8=6'] Exploring Operation: 26+6=32, Resulting Numbers: [4, 32] ...
0
hs_1
mult_heuristic
[ 81, 13, 12, 97 ]
17
[ "81-13=68", "97-12=85", "85-68=17" ]
Current State: 17:[81, 13, 12, 97], Operations: [] Exploring Operation: 81-13=68, Resulting Numbers: [12, 97, 68] Generated Node #2: [12, 97, 68] from Operation: 81-13=68 Current State: 17:[12, 97, 68], Operations: ['81-13=68'] Exploring Operation: 97-12=85, Resulting Numbers: [68, 85] Generated Node #3: [68, 85] from ...
4
Current State: 17:[81, 13, 12, 97], Operations: [] Exploring Operation: 81-12=69, Resulting Numbers: [13, 97, 69] Generated Node #0,0: 17:[13, 97, 69] Operation: 81-12=69 Exploring Operation: 81-13=68, Resulting Numbers: [12, 97, 68] Generated Node #0,1: 17:[12, 97, 68] Operation: 81-13=68 Exploring Operation: 97-81=16...
0.982639
hs_4
mult_heuristic
[ 53, 31, 34, 69 ]
41
[ "31*69=2139", "34+2139=2173", "2173/53=41" ]
Current State: 41:[53, 31, 34, 69], Operations: [] Exploring Operation: 31*69=2139, Resulting Numbers: [53, 34, 2139] Generated Node #2: [53, 34, 2139] from Operation: 31*69=2139 Current State: 41:[53, 34, 2139], Operations: ['31*69=2139'] Exploring Operation: 34+2139=2173, Resulting Numbers: [53, 2173] Generated Node ...
4
Current State: 41:[53, 31, 34, 69], Operations: [] Exploring Operation: 69-31=38, Resulting Numbers: [53, 34, 38] Generated Node #0,0: 41:[53, 34, 38] Operation: 69-31=38 Exploring Operation: 69-34=35, Resulting Numbers: [53, 31, 35] Generated Node #0,1: 41:[53, 31, 35] Operation: 69-34=35 Start Sub Search at level 1: ...
0
hs_2
mult_heuristic
[ 73, 44, 4, 71 ]
92
[ "73-71=2", "44*2=88", "4+88=92" ]
Current State: 92:[73, 44, 4, 71], Operations: [] Exploring Operation: 73-71=2, Resulting Numbers: [44, 4, 2] Generated Node #2: [44, 4, 2] from Operation: 73-71=2 Current State: 92:[44, 4, 2], Operations: ['73-71=2'] Exploring Operation: 44*2=88, Resulting Numbers: [4, 88] Generated Node #3: [4, 88] from Operation: 44...
4
Current State: 92:[73, 44, 4, 71], Operations: [] Exploring Operation: 4+71=75, Resulting Numbers: [73, 44, 75] Generated Node #0,0: 92:[73, 44, 75] Operation: 4+71=75 Exploring Operation: 71-44=27, Resulting Numbers: [73, 4, 27] Generated Node #0,1: 92:[73, 4, 27] Operation: 71-44=27 Exploring Operation: 73-44=29, Res...
0
hs_5
mult_heuristic
[ 18, 72, 37, 24 ]
65
[ "72/18=4", "37+24=61", "4+61=65" ]
Current State: 65:[18, 72, 37, 24], Operations: [] Exploring Operation: 72/18=4, Resulting Numbers: [37, 24, 4] Generated Node #2: [37, 24, 4] from Operation: 72/18=4 Current State: 65:[37, 24, 4], Operations: ['72/18=4'] Exploring Operation: 37+24=61, Resulting Numbers: [4, 61] Generated Node #3: [4, 61] from Operatio...
4
Current State: 65:[18, 72, 37, 24], Operations: [] Exploring Operation: 18+37=55, Resulting Numbers: [72, 24, 55] Generated Node #0,0: 65:[72, 24, 55] Operation: 18+37=55 Exploring Operation: 37+24=61, Resulting Numbers: [18, 72, 61] Generated Node #0,1: 65:[18, 72, 61] Operation: 37+24=61 Exploring Operation: 37-18=19...
0.969618
hs_5
mult_heuristic
[ 24, 14, 10, 12 ]
22
[ "24/12=2", "14+10=24", "24-2=22" ]
Current State: 22:[24, 14, 10, 12], Operations: [] Exploring Operation: 24/12=2, Resulting Numbers: [14, 10, 2] Generated Node #2: [14, 10, 2] from Operation: 24/12=2 Current State: 22:[14, 10, 2], Operations: ['24/12=2'] Exploring Operation: 14+10=24, Resulting Numbers: [2, 24] Generated Node #3: [2, 24] from Operatio...
4
Current State: 22:[24, 14, 10, 12], Operations: [] Exploring Operation: 24/12=2, Resulting Numbers: [14, 10, 2] Generated Node #0,0: 22:[14, 10, 2] Operation: 24/12=2 Exploring Operation: 14-12=2, Resulting Numbers: [24, 10, 2] Generated Node #0,1: 22:[24, 10, 2] Operation: 14-12=2 Exploring Operation: 24-12=12, Result...
0.979167
hs_4
sum_heuristic
[ 59, 90, 13, 84 ]
66
[ "90-59=31", "13+84=97", "97-31=66" ]
Current State: 66:[59, 90, 13, 84], Operations: [] Exploring Operation: 90-59=31, Resulting Numbers: [13, 84, 31] Generated Node #2: [13, 84, 31] from Operation: 90-59=31 Current State: 66:[13, 84, 31], Operations: ['90-59=31'] Exploring Operation: 13+84=97, Resulting Numbers: [31, 97] Generated Node #3: [31, 97] from ...
4
Current State: 66:[59, 90, 13, 84], Operations: [] Exploring Operation: 90-59=31, Resulting Numbers: [13, 84, 31] Generated Node #0,0: 66:[13, 84, 31] Operation: 90-59=31 Exploring Operation: 90-84=6, Resulting Numbers: [59, 13, 6] Generated Node #0,1: 66:[59, 13, 6] Operation: 90-84=6 Moving to Node #0,1 Current State...
0.990451
hs_2
sum_heuristic
[ 8, 44, 76, 53 ]
57
[ "76-44=32", "32/8=4", "53+4=57" ]
Current State: 57:[8, 44, 76, 53], Operations: [] Exploring Operation: 76-44=32, Resulting Numbers: [8, 53, 32] Generated Node #2: [8, 53, 32] from Operation: 76-44=32 Current State: 57:[8, 53, 32], Operations: ['76-44=32'] Exploring Operation: 32/8=4, Resulting Numbers: [53, 4] Generated Node #3: [53, 4] from Operatio...
4
Current State: 57:[8, 44, 76, 53], Operations: [] Exploring Operation: 76-53=23, Resulting Numbers: [8, 44, 23] Generated Node #0,0: 57:[8, 44, 23] Operation: 76-53=23 Exploring Operation: 76-44=32, Resulting Numbers: [8, 53, 32] Generated Node #0,1: 57:[8, 53, 32] Operation: 76-44=32 Exploring Operation: 76-8=68, Resu...
0.955729
hs_4
mult_heuristic
[ 58, 94, 18, 29 ]
58
[ "94-58=36", "36/18=2", "29*2=58" ]
Current State: 58:[58, 94, 18, 29], Operations: [] Exploring Operation: 94-58=36, Resulting Numbers: [18, 29, 36] Generated Node #2: [18, 29, 36] from Operation: 94-58=36 Current State: 58:[18, 29, 36], Operations: ['94-58=36'] Exploring Operation: 36/18=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Ope...
4
Current State: 58:[58, 94, 18, 29], Operations: [] Exploring Operation: 94-58=36, Resulting Numbers: [18, 29, 36] Generated Node #0,0: 58:[18, 29, 36] Operation: 94-58=36 Exploring Operation: 94-18=76, Resulting Numbers: [58, 29, 76] Generated Node #0,1: 58:[58, 29, 76] Operation: 94-18=76 Start Sub Search at level 1: ...
0.991319
hs_2
sum_heuristic
[ 42, 29, 2, 48 ]
16
[ "42+48=90", "90/2=45", "45-29=16" ]
Current State: 16:[42, 29, 2, 48], Operations: [] Exploring Operation: 42+48=90, Resulting Numbers: [29, 2, 90] Generated Node #2: [29, 2, 90] from Operation: 42+48=90 Current State: 16:[29, 2, 90], Operations: ['42+48=90'] Exploring Operation: 90/2=45, Resulting Numbers: [29, 45] Generated Node #3: [29, 45] from Opera...
4
Current State: 16:[42, 29, 2, 48], Operations: [] Exploring Operation: 48-42=6, Resulting Numbers: [29, 2, 6] Generated Node #0,0: 16:[29, 2, 6] Operation: 48-42=6 Start Sub Search at level 1: Moving to Node #0,0 Current State: 16:[29, 2, 6], Operations: ['48-42=6'] Exploring Operation: 29-6=23, Resulting Numbers: [2, ...
0
hs_1
sum_heuristic
[ 74, 5, 2, 84 ]
40
[ "74+2=76", "84-76=8", "5*8=40" ]
Current State: 40:[74, 5, 2, 84], Operations: [] Exploring Operation: 74+2=76, Resulting Numbers: [5, 84, 76] Generated Node #2: [5, 84, 76] from Operation: 74+2=76 Current State: 40:[5, 84, 76], Operations: ['74+2=76'] Exploring Operation: 84-76=8, Resulting Numbers: [5, 8] Generated Node #3: [5, 8] from Operation: 84...
4
Current State: 40:[74, 5, 2, 84], Operations: [] Exploring Operation: 74-5=69, Resulting Numbers: [2, 84, 69] Generated Node #0,0: 40:[2, 84, 69] Operation: 74-5=69 Exploring Operation: 84-74=10, Resulting Numbers: [5, 2, 10] Generated Node #0,1: 40:[5, 2, 10] Operation: 84-74=10 Exploring Operation: 74/2=37, Resulting...
0.977431
hs_5
mult_heuristic
[ 50, 58, 13, 41 ]
20
[ "58-50=8", "41-13=28", "28-8=20" ]
Current State: 20:[50, 58, 13, 41], Operations: [] Exploring Operation: 58-50=8, Resulting Numbers: [13, 41, 8] Generated Node #2: [13, 41, 8] from Operation: 58-50=8 Current State: 20:[13, 41, 8], Operations: ['58-50=8'] Exploring Operation: 41-13=28, Resulting Numbers: [8, 28] Generated Node #3: [8, 28] from Operatio...
4
Current State: 20:[50, 58, 13, 41], Operations: [] Exploring Operation: 58-41=17, Resulting Numbers: [50, 13, 17] Generated Node #0,0: 20:[50, 13, 17] Operation: 58-41=17 Exploring Operation: 58-50=8, Resulting Numbers: [13, 41, 8] Generated Node #0,1: 20:[13, 41, 8] Operation: 58-50=8 Moving to Node #0,1 Current State...
0.990451
hs_2
sum_heuristic