Datasets:
Parallel-Reasoning
/
sosp_sft_data

Dataset card Data Studio Files
xet
Community
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
[ 96, 72, 35, 8 ]
67
[ "96-72=24", "35+8=43", "24+43=67" ]
Current State: 67:[96, 72, 35, 8], Operations: [] Exploring Operation: 96-72=24, Resulting Numbers: [35, 8, 24] Generated Node #2: [35, 8, 24] from Operation: 96-72=24 Current State: 67:[35, 8, 24], Operations: ['96-72=24'] Exploring Operation: 35+8=43, Resulting Numbers: [24, 43] Generated Node #3: [24, 43] from Operation: 35+8=43 Current State: 67:[24, 43], Operations: ['96-72=24', '35+8=43'] Exploring Operation: 24+43=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
Current State: 67:[96, 72, 35, 8], Operations: [] Exploring Operation: 96-8=88, Resulting Numbers: [72, 35, 88] Generated Node #0,0: 67:[72, 35, 88] Operation: 96-8=88 Moving to Node #0,0 Current State: 67:[72, 35, 88], Operations: ['96-8=88'] Exploring Operation: 88-35=53, Resulting Numbers: [72, 53] Generated Node #0,0,0: 67:[72, 53] Operation: 88-35=53 Moving to Node #0,0,0 Current State: 67:[72, 53], Operations: ['96-8=88', '88-35=53'] Exploring Operation: 72-53=19, Resulting Numbers: [19] 19,67 unequal: No Solution No solution found.
0
hs_1
sum_heuristic
[ 14, 92, 49, 6 ]
23
[ "92-14=78", "49+6=55", "78-55=23" ]
Current State: 23:[14, 92, 49, 6], Operations: [] Exploring Operation: 92-14=78, Resulting Numbers: [49, 6, 78] Generated Node #2: [49, 6, 78] from Operation: 92-14=78 Current State: 23:[49, 6, 78], Operations: ['92-14=78'] Exploring Operation: 49+6=55, Resulting Numbers: [78, 55] Generated Node #3: [78, 55] from Operation: 49+6=55 Current State: 23:[78, 55], Operations: ['92-14=78', '49+6=55'] Exploring Operation: 78-55=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
Current State: 23:[14, 92, 49, 6], Operations: [] Exploring Operation: 49-14=35, Resulting Numbers: [92, 6, 35] Generated Node #0,0: 23:[92, 6, 35] Operation: 49-14=35 Exploring Operation: 92-14=78, Resulting Numbers: [49, 6, 78] Generated Node #0,1: 23:[49, 6, 78] Operation: 92-14=78 Exploring Operation: 92-49=43, Resulting Numbers: [14, 6, 43] Generated Node #0,2: 23:[14, 6, 43] Operation: 92-49=43 Exploring Operation: 14+6=20, Resulting Numbers: [92, 49, 20] Generated Node #0,3: 23:[92, 49, 20] Operation: 14+6=20 Start Sub Search at level 1: Moving to Node #0,2 Current State: 23:[14, 6, 43], Operations: ['92-49=43'] Exploring Operation: 43-6=37, Resulting Numbers: [14, 37] Generated Node #0,2,0: 23:[14, 37] Operation: 43-6=37 Exploring Operation: 14+6=20, Resulting Numbers: [43, 20] Generated Node #0,2,1: 23:[43, 20] Operation: 14+6=20 Exploring Operation: 14-6=8, Resulting Numbers: [43, 8] Generated Node #0,2,2: 23:[43, 8] Operation: 14-6=8 Exploring Operation: 43-14=29, Resulting Numbers: [6, 29] Generated Node #0,2,3: 23:[6, 29] Operation: 43-14=29 Moving to Node #0,2,0 Current State: 23:[14, 37], Operations: ['92-49=43', '43-6=37'] Exploring Operation: 14*37=518, Resulting Numbers: [518] 518,23 unequal: No Solution Exploring Operation: 14+37=51, Resulting Numbers: [51] 51,23 unequal: No Solution Exploring Operation: 37-14=23, Resulting Numbers: [23] 23,23 equal: Goal Reached Moving to Node #0 Current State: 23:[14, 92, 49, 6], Operations: [] Exploring Operation: 92-49=43, Resulting Numbers: [14, 6, 43] Generated Node #0,2: 23:[14, 6, 43] Operation: 92-49=43 Moving to Node #0,2 Current State: 23:[14, 6, 43], Operations: ['92-49=43'] Exploring Operation: 43-6=37, Resulting Numbers: [14, 37] Generated Node #0,2,0: 23:[14, 37] Operation: 43-6=37 Moving to Node #0,2,0 Current State: 23:[14, 37], Operations: ['92-49=43', '43-6=37'] Exploring Operation: 37-14=23, Resulting Numbers: [23] 23,23 equal: Goal Reached Exit Sub Search at level 1
0.986979
hs_4
mult_heuristic
[ 6, 69, 10, 44 ]
74
[ "6+44=50", "50/10=5", "69+5=74" ]
Current State: 74:[6, 69, 10, 44], Operations: [] Exploring Operation: 6+44=50, Resulting Numbers: [69, 10, 50] Generated Node #2: [69, 10, 50] from Operation: 6+44=50 Current State: 74:[69, 10, 50], Operations: ['6+44=50'] Exploring Operation: 50/10=5, Resulting Numbers: [69, 5] Generated Node #3: [69, 5] from Operation: 50/10=5 Current State: 74:[69, 5], Operations: ['6+44=50', '50/10=5'] Exploring Operation: 69+5=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
Current State: 74:[6, 69, 10, 44], Operations: [] Exploring Operation: 10-6=4, Resulting Numbers: [69, 44, 4] Generated Node #0,0: 74:[69, 44, 4] Operation: 10-6=4 Exploring Operation: 44-10=34, Resulting Numbers: [6, 69, 34] Generated Node #0,1: 74:[6, 69, 34] Operation: 44-10=34 Exploring Operation: 44-6=38, Resulting Numbers: [69, 10, 38] Generated Node #0,2: 74:[69, 10, 38] Operation: 44-6=38 Moving to Node #0,1 Current State: 74:[6, 69, 34], Operations: ['44-10=34'] Exploring Operation: 6+34=40, Resulting Numbers: [69, 40] Generated Node #0,1,0: 74:[69, 40] Operation: 6+34=40 Exploring Operation: 6+69=75, Resulting Numbers: [34, 75] Generated Node #0,1,1: 74:[34, 75] Operation: 6+69=75 Exploring Operation: 69-34=35, Resulting Numbers: [6, 35] Generated Node #0,1,2: 74:[6, 35] Operation: 69-34=35 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 74:[34, 75], Operations: ['44-10=34', '6+69=75'] Exploring Operation: 75-34=41, Resulting Numbers: [41] 41,74 unequal: No Solution Exploring Operation: 34*75=2550, Resulting Numbers: [2550] 2550,74 unequal: No Solution Exploring Operation: 34+75=109, Resulting Numbers: [109] 109,74 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 74:[6, 35], Operations: ['44-10=34', '69-34=35'] Exploring Operation: 6*35=210, Resulting Numbers: [210] 210,74 unequal: No Solution Exploring Operation: 35-6=29, Resulting Numbers: [29] 29,74 unequal: No Solution Exploring Operation: 6+35=41, Resulting Numbers: [41] 41,74 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 74:[69, 40], Operations: ['44-10=34', '6+34=40'] Exploring Operation: 69*40=2760, Resulting Numbers: [2760] 2760,74 unequal: No Solution Exploring Operation: 69+40=109, Resulting Numbers: [109] 109,74 unequal: No Solution Exploring Operation: 69-40=29, Resulting Numbers: [29] 29,74 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 74:[69, 44, 4], Operations: ['10-6=4'] Exploring Operation: 69+4=73, Resulting Numbers: [44, 73] Generated Node #0,0,0: 74:[44, 73] Operation: 69+4=73 Exploring Operation: 69-44=25, Resulting Numbers: [4, 25] Generated Node #0,0,1: 74:[4, 25] Operation: 69-44=25 Exploring Operation: 44-4=40, Resulting Numbers: [69, 40] Generated Node #0,0,2: 74:[69, 40] Operation: 44-4=40 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 74:[44, 73], Operations: ['10-6=4', '69+4=73'] Exploring Operation: 73-44=29, Resulting Numbers: [29] 29,74 unequal: No Solution Exploring Operation: 44*73=3212, Resulting Numbers: [3212] 3212,74 unequal: No Solution Exploring Operation: 44+73=117, Resulting Numbers: [117] 117,74 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 74:[69, 40], Operations: ['10-6=4', '44-4=40'] Exploring Operation: 69-40=29, Resulting Numbers: [29] 29,74 unequal: No Solution Exploring Operation: 69*40=2760, Resulting Numbers: [2760] 2760,74 unequal: No Solution Exploring Operation: 69+40=109, Resulting Numbers: [109] 109,74 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 74:[4, 25], Operations: ['10-6=4', '69-44=25'] Exploring Operation: 4+25=29, Resulting Numbers: [29] 29,74 unequal: No Solution Exploring Operation: 25-4=21, Resulting Numbers: [21] 21,74 unequal: No Solution Exploring Operation: 4*25=100, Resulting Numbers: [100] 100,74 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 74:[69, 10, 38], Operations: ['44-6=38'] Exploring Operation: 69+10=79, Resulting Numbers: [38, 79] Generated Node #0,2,0: 74:[38, 79] Operation: 69+10=79 Exploring Operation: 69-38=31, Resulting Numbers: [10, 31] Generated Node #0,2,1: 74:[10, 31] Operation: 69-38=31 Exploring Operation: 38-10=28, Resulting Numbers: [69, 28] Generated Node #0,2,2: 74:[69, 28] Operation: 38-10=28 Moving to Node #0,2,0 Current State: 74:[38, 79], Operations: ['44-6=38', '69+10=79'] Exploring Operation: 79-38=41, Resulting Numbers: [41] 41,74 unequal: No Solution Exploring Operation: 38+79=117, Resulting Numbers: [117] 117,74 unequal: No Solution Exploring Operation: 38*79=3002, Resulting Numbers: [3002] 3002,74 unequal: No Solution Moving to Node #0,2,1 Current State: 74:[10, 31], Operations: ['44-6=38', '69-38=31'] Exploring Operation: 10+31=41, Resulting Numbers: [41] 41,74 unequal: No Solution Exploring Operation: 31-10=21, Resulting Numbers: [21] 21,74 unequal: No Solution Exploring Operation: 10*31=310, Resulting Numbers: [310] 310,74 unequal: No Solution Moving to Node #0,2,2 Current State: 74:[69, 28], Operations: ['44-6=38', '38-10=28'] Exploring Operation: 69-28=41, Resulting Numbers: [41] 41,74 unequal: No Solution Exploring Operation: 69+28=97, Resulting Numbers: [97] 97,74 unequal: No Solution Exploring Operation: 69*28=1932, Resulting Numbers: [1932] 1932,74 unequal: No Solution No solution found.
0
hs_3
mult_heuristic
[ 52, 3, 84, 27 ]
69
[ "84-52=32", "3*32=96", "96-27=69" ]
Current State: 69:[52, 3, 84, 27], Operations: [] Exploring Operation: 84-52=32, Resulting Numbers: [3, 27, 32] Generated Node #2: [3, 27, 32] from Operation: 84-52=32 Current State: 69:[3, 27, 32], Operations: ['84-52=32'] Exploring Operation: 3*32=96, Resulting Numbers: [27, 96] Generated Node #3: [27, 96] from Operation: 3*32=96 Current State: 69:[27, 96], Operations: ['84-52=32', '3*32=96'] Exploring Operation: 96-27=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
Current State: 69:[52, 3, 84, 27], Operations: [] Exploring Operation: 52-27=25, Resulting Numbers: [3, 84, 25] Generated Node #0,0: 69:[3, 84, 25] Operation: 52-27=25 Exploring Operation: 84-52=32, Resulting Numbers: [3, 27, 32] Generated Node #0,1: 69:[3, 27, 32] Operation: 84-52=32 Exploring Operation: 52+27=79, Resulting Numbers: [3, 84, 79] Generated Node #0,2: 69:[3, 84, 79] Operation: 52+27=79 Moving to Node #0,1 Current State: 69:[3, 27, 32], Operations: ['84-52=32'] Exploring Operation: 27-3=24, Resulting Numbers: [32, 24] Generated Node #0,1,0: 69:[32, 24] Operation: 27-3=24 Exploring Operation: 32-27=5, Resulting Numbers: [3, 5] Generated Node #0,1,1: 69:[3, 5] Operation: 32-27=5 Exploring Operation: 32-3=29, Resulting Numbers: [27, 29] Generated Node #0,1,2: 69:[27, 29] Operation: 32-3=29 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 69:[3, 5], Operations: ['84-52=32', '32-27=5'] Exploring Operation: 3+5=8, Resulting Numbers: [8] 8,69 unequal: No Solution Exploring Operation: 3*5=15, Resulting Numbers: [15] 15,69 unequal: No Solution Exploring Operation: 5-3=2, Resulting Numbers: [2] 2,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 69:[32, 24], Operations: ['84-52=32', '27-3=24'] Exploring Operation: 32-24=8, Resulting Numbers: [8] 8,69 unequal: No Solution Exploring Operation: 32+24=56, Resulting Numbers: [56] 56,69 unequal: No Solution Exploring Operation: 32*24=768, Resulting Numbers: [768] 768,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 69:[27, 29], Operations: ['84-52=32', '32-3=29'] Exploring Operation: 29-27=2, Resulting Numbers: [2] 2,69 unequal: No Solution Exploring Operation: 27+29=56, Resulting Numbers: [56] 56,69 unequal: No Solution Exploring Operation: 27*29=783, Resulting Numbers: [783] 783,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 69:[3, 84, 25], Operations: ['52-27=25'] Exploring Operation: 84-3=81, Resulting Numbers: [25, 81] Generated Node #0,0,0: 69:[25, 81] Operation: 84-3=81 Exploring Operation: 84/3=28, Resulting Numbers: [25, 28] Generated Node #0,0,1: 69:[25, 28] Operation: 84/3=28 Exploring Operation: 84-25=59, Resulting Numbers: [3, 59] Generated Node #0,0,2: 69:[3, 59] Operation: 84-25=59 Moving to Node #0,2 Current State: 69:[3, 84, 79], Operations: ['52+27=79'] Exploring Operation: 84-79=5, Resulting Numbers: [3, 5] Generated Node #0,2,0: 69:[3, 5] Operation: 84-79=5 Exploring Operation: 84/3=28, Resulting Numbers: [79, 28] Generated Node #0,2,1: 69:[79, 28] Operation: 84/3=28 Exploring Operation: 84-3=81, Resulting Numbers: [79, 81] Generated Node #0,2,2: 69:[79, 81] Operation: 84-3=81 Moving to Node #0,2,0 Current State: 69:[3, 5], Operations: ['52+27=79', '84-79=5'] Exploring Operation: 5-3=2, Resulting Numbers: [2] 2,69 unequal: No Solution Exploring Operation: 3+5=8, Resulting Numbers: [8] 8,69 unequal: No Solution Exploring Operation: 3*5=15, Resulting Numbers: [15] 15,69 unequal: No Solution Moving to Node #0,0,1 Current State: 69:[25, 28], Operations: ['52-27=25', '84/3=28'] Exploring Operation: 25*28=700, Resulting Numbers: [700] 700,69 unequal: No Solution Exploring Operation: 28-25=3, Resulting Numbers: [3] 3,69 unequal: No Solution Exploring Operation: 25+28=53, Resulting Numbers: [53] 53,69 unequal: No Solution Moving to Node #0,0,2 Current State: 69:[3, 59], Operations: ['52-27=25', '84-25=59'] Exploring Operation: 3*59=177, Resulting Numbers: [177] 177,69 unequal: No Solution Exploring Operation: 59-3=56, Resulting Numbers: [56] 56,69 unequal: No Solution Exploring Operation: 3+59=62, Resulting Numbers: [62] 62,69 unequal: No Solution Moving to Node #0,0,0 Current State: 69:[25, 81], Operations: ['52-27=25', '84-3=81'] Exploring Operation: 81-25=56, Resulting Numbers: [56] 56,69 unequal: No Solution Exploring Operation: 25*81=2025, Resulting Numbers: [2025] 2025,69 unequal: No Solution Exploring Operation: 25+81=106, Resulting Numbers: [106] 106,69 unequal: No Solution Moving to Node #0,2,1 Current State: 69:[79, 28], Operations: ['52+27=79', '84/3=28'] Exploring Operation: 79-28=51, Resulting Numbers: [51] 51,69 unequal: No Solution Exploring Operation: 79*28=2212, Resulting Numbers: [2212] 2212,69 unequal: No Solution Exploring Operation: 79+28=107, Resulting Numbers: [107] 107,69 unequal: No Solution Moving to Node #0,2,2 Current State: 69:[79, 81], Operations: ['52+27=79', '84-3=81'] Exploring Operation: 79*81=6399, Resulting Numbers: [6399] 6399,69 unequal: No Solution Exploring Operation: 81-79=2, Resulting Numbers: [2] 2,69 unequal: No Solution Exploring Operation: 79+81=160, Resulting Numbers: [160] 160,69 unequal: No Solution No solution found.
0
hs_3
mult_heuristic
[ 46, 2, 25, 43 ]
10
[ "43-25=18", "2*18=36", "46-36=10" ]
Current State: 10:[46, 2, 25, 43], Operations: [] Exploring Operation: 43-25=18, Resulting Numbers: [46, 2, 18] Generated Node #2: [46, 2, 18] from Operation: 43-25=18 Current State: 10:[46, 2, 18], Operations: ['43-25=18'] Exploring Operation: 2*18=36, Resulting Numbers: [46, 36] Generated Node #3: [46, 36] from Operation: 2*18=36 Current State: 10:[46, 36], Operations: ['43-25=18', '2*18=36'] Exploring Operation: 46-36=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
Current State: 10:[46, 2, 25, 43], Operations: [] Exploring Operation: 43-25=18, Resulting Numbers: [46, 2, 18] Generated Node #0,0: 10:[46, 2, 18] Operation: 43-25=18 Exploring Operation: 46/2=23, Resulting Numbers: [25, 43, 23] Generated Node #0,1: 10:[25, 43, 23] Operation: 46/2=23 Exploring Operation: 46-43=3, Resulting Numbers: [2, 25, 3] Generated Node #0,2: 10:[2, 25, 3] Operation: 46-43=3 Exploring Operation: 46-25=21, Resulting Numbers: [2, 43, 21] Generated Node #0,3: 10:[2, 43, 21] Operation: 46-25=21 Start Sub Search at level 1: Moving to Node #0,2 Current State: 10:[2, 25, 3], Operations: ['46-43=3'] Exploring Operation: 2*3=6, Resulting Numbers: [25, 6] Generated Node #0,2,0: 10:[25, 6] Operation: 2*3=6 Exploring Operation: 25-2=23, Resulting Numbers: [3, 23] Generated Node #0,2,1: 10:[3, 23] Operation: 25-2=23 Exploring Operation: 2+3=5, Resulting Numbers: [25, 5] Generated Node #0,2,2: 10:[25, 5] Operation: 2+3=5 Exploring Operation: 25-3=22, Resulting Numbers: [2, 22] Generated Node #0,2,3: 10:[2, 22] Operation: 25-3=22 Moving to Node #0,2,3 Current State: 10:[2, 22], Operations: ['46-43=3', '25-3=22'] Exploring Operation: 22-2=20, Resulting Numbers: [20] 20,10 unequal: No Solution Exploring Operation: 2+22=24, Resulting Numbers: [24] 24,10 unequal: No Solution Exploring Operation: 2*22=44, Resulting Numbers: [44] 44,10 unequal: No Solution Exploring Operation: 22/2=11, Resulting Numbers: [11] 11,10 unequal: No Solution Moving to Node #0,2,1 Current State: 10:[3, 23], Operations: ['46-43=3', '25-2=23'] Exploring Operation: 23-3=20, Resulting Numbers: [20] 20,10 unequal: No Solution Exploring Operation: 3*23=69, Resulting Numbers: [69] 69,10 unequal: No Solution Exploring Operation: 3+23=26, Resulting Numbers: [26] 26,10 unequal: No Solution Moving to Node #0,2,2 Current State: 10:[25, 5], Operations: ['46-43=3', '2+3=5'] Exploring Operation: 25-5=20, Resulting Numbers: [20] 20,10 unequal: No Solution Exploring Operation: 25/5=5, Resulting Numbers: [5] 5,10 unequal: No Solution Exploring Operation: 25*5=125, Resulting Numbers: [125] 125,10 unequal: No Solution Exploring Operation: 25+5=30, Resulting Numbers: [30] 30,10 unequal: No Solution Moving to Node #0,2,0 Current State: 10:[25, 6], Operations: ['46-43=3', '2*3=6'] Exploring Operation: 25*6=150, Resulting Numbers: [150] 150,10 unequal: No Solution Exploring Operation: 25-6=19, Resulting Numbers: [19] 19,10 unequal: No Solution Exploring Operation: 25+6=31, Resulting Numbers: [31] 31,10 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 10:[46, 2, 18], Operations: ['43-25=18'] Exploring Operation: 46-2=44, Resulting Numbers: [18, 44] Generated Node #0,0,0: 10:[18, 44] Operation: 46-2=44 Exploring Operation: 46-18=28, Resulting Numbers: [2, 28] Generated Node #0,0,1: 10:[2, 28] Operation: 46-18=28 Exploring Operation: 18/2=9, Resulting Numbers: [46, 9] Generated Node #0,0,2: 10:[46, 9] Operation: 18/2=9 Exploring Operation: 46/2=23, Resulting Numbers: [18, 23] Generated Node #0,0,3: 10:[18, 23] Operation: 46/2=23 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 10:[2, 28], Operations: ['43-25=18', '46-18=28'] Exploring Operation: 2+28=30, Resulting Numbers: [30] 30,10 unequal: No Solution Exploring Operation: 28-2=26, Resulting Numbers: [26] 26,10 unequal: No Solution Exploring Operation: 2*28=56, Resulting Numbers: [56] 56,10 unequal: No Solution Exploring Operation: 28/2=14, Resulting Numbers: [14] 14,10 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 10:[18, 23], Operations: ['43-25=18', '46/2=23'] Exploring Operation: 23-18=5, Resulting Numbers: [5] 5,10 unequal: No Solution Exploring Operation: 18+23=41, Resulting Numbers: [41] 41,10 unequal: No Solution Exploring Operation: 18*23=414, Resulting Numbers: [414] 414,10 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 10:[46, 9], Operations: ['43-25=18', '18/2=9'] Exploring Operation: 46*9=414, Resulting Numbers: [414] 414,10 unequal: No Solution Exploring Operation: 46-9=37, Resulting Numbers: [37] 37,10 unequal: No Solution Exploring Operation: 46+9=55, Resulting Numbers: [55] 55,10 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 10:[18, 44], Operations: ['43-25=18', '46-2=44'] Exploring Operation: 44-18=26, Resulting Numbers: [26] 26,10 unequal: No Solution Exploring Operation: 18+44=62, Resulting Numbers: [62] 62,10 unequal: No Solution Exploring Operation: 18*44=792, Resulting Numbers: [792] 792,10 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 10:[2, 43, 21], Operations: ['46-25=21'] Exploring Operation: 43-2=41, Resulting Numbers: [21, 41] Generated Node #0,3,0: 10:[21, 41] Operation: 43-2=41 Exploring Operation: 21-2=19, Resulting Numbers: [43, 19] Generated Node #0,3,1: 10:[43, 19] Operation: 21-2=19 Exploring Operation: 2+43=45, Resulting Numbers: [21, 45] Generated Node #0,3,2: 10:[21, 45] Operation: 2+43=45 Exploring Operation: 43-21=22, Resulting Numbers: [2, 22] Generated Node #0,3,3: 10:[2, 22] Operation: 43-21=22 Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 10:[2, 22], Operations: ['46-25=21', '43-21=22'] Exploring Operation: 2+22=24, Resulting Numbers: [24] 24,10 unequal: No Solution Exploring Operation: 22/2=11, Resulting Numbers: [11] 11,10 unequal: No Solution Exploring Operation: 22-2=20, Resulting Numbers: [20] 20,10 unequal: No Solution Exploring Operation: 2*22=44, Resulting Numbers: [44] 44,10 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 10:[21, 41], Operations: ['46-25=21', '43-2=41'] Exploring Operation: 21*41=861, Resulting Numbers: [861] 861,10 unequal: No Solution Exploring Operation: 21+41=62, Resulting Numbers: [62] 62,10 unequal: No Solution Exploring Operation: 41-21=20, Resulting Numbers: [20] 20,10 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 10:[43, 19], Operations: ['46-25=21', '21-2=19'] Exploring Operation: 43+19=62, Resulting Numbers: [62] 62,10 unequal: No Solution Exploring Operation: 43*19=817, Resulting Numbers: [817] 817,10 unequal: No Solution Exploring Operation: 43-19=24, Resulting Numbers: [24] 24,10 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 10:[21, 45], Operations: ['46-25=21', '2+43=45'] Exploring Operation: 21*45=945, Resulting Numbers: [945] 945,10 unequal: No Solution Exploring Operation: 45-21=24, Resulting Numbers: [24] 24,10 unequal: No Solution Exploring Operation: 21+45=66, Resulting Numbers: [66] 66,10 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 10:[25, 43, 23], Operations: ['46/2=23'] Exploring Operation: 25-23=2, Resulting Numbers: [43, 2] Generated Node #0,1,0: 10:[43, 2] Operation: 25-23=2 Exploring Operation: 43-23=20, Resulting Numbers: [25, 20] Generated Node #0,1,1: 10:[25, 20] Operation: 43-23=20 Exploring Operation: 43-25=18, Resulting Numbers: [23, 18] Generated Node #0,1,2: 10:[23, 18] Operation: 43-25=18 Exploring Operation: 25+43=68, Resulting Numbers: [23, 68] Generated Node #0,1,3: 10:[23, 68] Operation: 25+43=68 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 10:[23, 18], Operations: ['46/2=23', '43-25=18'] Exploring Operation: 23+18=41, Resulting Numbers: [41] 41,10 unequal: No Solution Exploring Operation: 23*18=414, Resulting Numbers: [414] 414,10 unequal: No Solution Exploring Operation: 23-18=5, Resulting Numbers: [5] 5,10 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 10:[25, 20], Operations: ['46/2=23', '43-23=20'] Exploring Operation: 25*20=500, Resulting Numbers: [500] 500,10 unequal: No Solution Exploring Operation: 25-20=5, Resulting Numbers: [5] 5,10 unequal: No Solution Exploring Operation: 25+20=45, Resulting Numbers: [45] 45,10 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 10:[43, 2], Operations: ['46/2=23', '25-23=2'] Exploring Operation: 43+2=45, Resulting Numbers: [45] 45,10 unequal: No Solution Exploring Operation: 43-2=41, Resulting Numbers: [41] 41,10 unequal: No Solution Exploring Operation: 43*2=86, Resulting Numbers: [86] 86,10 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 10:[23, 68], Operations: ['46/2=23', '25+43=68'] Exploring Operation: 23*68=1564, Resulting Numbers: [1564] 1564,10 unequal: No Solution Exploring Operation: 68-23=45, Resulting Numbers: [45] 45,10 unequal: No Solution Exploring Operation: 23+68=91, Resulting Numbers: [91] 91,10 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
sum_heuristic
[ 52, 94, 5, 22 ]
25
[ "94-52=42", "22-5=17", "42-17=25" ]
Current State: 25:[52, 94, 5, 22], Operations: [] Exploring Operation: 94-52=42, Resulting Numbers: [5, 22, 42] Generated Node #2: [5, 22, 42] from Operation: 94-52=42 Current State: 25:[5, 22, 42], Operations: ['94-52=42'] Exploring Operation: 22-5=17, Resulting Numbers: [42, 17] Generated Node #3: [42, 17] from Operation: 22-5=17 Current State: 25:[42, 17], Operations: ['94-52=42', '22-5=17'] Exploring Operation: 42-17=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
Current State: 25:[52, 94, 5, 22], Operations: [] Exploring Operation: 94-22=72, Resulting Numbers: [52, 5, 72] Generated Node #0,0: 25:[52, 5, 72] Operation: 94-22=72 Exploring Operation: 52-22=30, Resulting Numbers: [94, 5, 30] Generated Node #0,1: 25:[94, 5, 30] Operation: 52-22=30 Exploring Operation: 94-52=42, Resulting Numbers: [5, 22, 42] Generated Node #0,2: 25:[5, 22, 42] Operation: 94-52=42 Start Sub Search at level 1: Moving to Node #0,2 Current State: 25:[5, 22, 42], Operations: ['94-52=42'] Exploring Operation: 42-5=37, Resulting Numbers: [22, 37] Generated Node #0,2,0: 25:[22, 37] Operation: 42-5=37 Exploring Operation: 5+22=27, Resulting Numbers: [42, 27] Generated Node #0,2,1: 25:[42, 27] Operation: 5+22=27 Exploring Operation: 42-22=20, Resulting Numbers: [5, 20] Generated Node #0,2,2: 25:[5, 20] Operation: 42-22=20 Moving to Node #0,2,2 Current State: 25:[5, 20], Operations: ['94-52=42', '42-22=20'] Exploring Operation: 20/5=4, Resulting Numbers: [4] 4,25 unequal: No Solution Exploring Operation: 20-5=15, Resulting Numbers: [15] 15,25 unequal: No Solution Exploring Operation: 5+20=25, Resulting Numbers: [25] 25,25 equal: Goal Reached Moving to Node #0 Current State: 25:[52, 94, 5, 22], Operations: [] Exploring Operation: 94-52=42, Resulting Numbers: [5, 22, 42] Generated Node #0,2: 25:[5, 22, 42] Operation: 94-52=42 Moving to Node #0,2 Current State: 25:[5, 22, 42], Operations: ['94-52=42'] Exploring Operation: 42-22=20, Resulting Numbers: [5, 20] Generated Node #0,2,2: 25:[5, 20] Operation: 42-22=20 Moving to Node #0,2,2 Current State: 25:[5, 20], Operations: ['94-52=42', '42-22=20'] Exploring Operation: 5+20=25, Resulting Numbers: [25] 25,25 equal: Goal Reached Exit Sub Search at level 1
0.988715
hs_3
mult_heuristic
[ 21, 67, 35, 46 ]
57
[ "67-21=46", "46-35=11", "46+11=57" ]
Current State: 57:[21, 67, 35, 46], Operations: [] Exploring Operation: 67-21=46, Resulting Numbers: [35, 46, 46] Generated Node #2: [35, 46, 46] from Operation: 67-21=46 Current State: 57:[35, 46, 46], Operations: ['67-21=46'] Exploring Operation: 46-35=11, Resulting Numbers: [11] 11,57 equal: Goal Reached Exploring Operation: 46+11=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
Current State: 57:[21, 67, 35, 46], Operations: [] Exploring Operation: 67-46=21, Resulting Numbers: [21, 35, 21] Generated Node #0,0: 57:[21, 35, 21] Operation: 67-46=21 Start Sub Search at level 1: Moving to Node #0,0 Current State: 57:[21, 35, 21], Operations: ['67-46=21'] Exploring Operation: 21+35=56, Resulting Numbers: [21, 56] Generated Node #0,0,0: 57:[21, 56] Operation: 21+35=56 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 57:[21, 56], Operations: ['67-46=21', '21+35=56'] Exploring Operation: 56-21=35, Resulting Numbers: [35] 35,57 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
mult_heuristic
[ 51, 35, 88, 10 ]
62
[ "51-35=16", "88-10=78", "78-16=62" ]
Current State: 62:[51, 35, 88, 10], Operations: [] Exploring Operation: 51-35=16, Resulting Numbers: [88, 10, 16] Generated Node #2: [88, 10, 16] from Operation: 51-35=16 Current State: 62:[88, 10, 16], Operations: ['51-35=16'] Exploring Operation: 88-10=78, Resulting Numbers: [16, 78] Generated Node #3: [16, 78] from Operation: 88-10=78 Current State: 62:[16, 78], Operations: ['51-35=16', '88-10=78'] Exploring Operation: 78-16=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
Current State: 62:[51, 35, 88, 10], Operations: [] Exploring Operation: 51-10=41, Resulting Numbers: [35, 88, 41] Generated Node #0,0: 62:[35, 88, 41] Operation: 51-10=41 Exploring Operation: 88-35=53, Resulting Numbers: [51, 10, 53] Generated Node #0,1: 62:[51, 10, 53] Operation: 88-35=53 Exploring Operation: 88-51=37, Resulting Numbers: [35, 10, 37] Generated Node #0,2: 62:[35, 10, 37] Operation: 88-51=37 Exploring Operation: 88-10=78, Resulting Numbers: [51, 35, 78] Generated Node #0,3: 62:[51, 35, 78] Operation: 88-10=78 Exploring Operation: 51+10=61, Resulting Numbers: [35, 88, 61] Generated Node #0,4: 62:[35, 88, 61] Operation: 51+10=61 Start Sub Search at level 1: Moving to Node #0,2 Current State: 62:[35, 10, 37], Operations: ['88-51=37'] Exploring Operation: 35+37=72, Resulting Numbers: [10, 72] Generated Node #0,2,0: 62:[10, 72] Operation: 35+37=72 Exploring Operation: 35-10=25, Resulting Numbers: [37, 25] Generated Node #0,2,1: 62:[37, 25] Operation: 35-10=25 Exploring Operation: 10+37=47, Resulting Numbers: [35, 47] Generated Node #0,2,2: 62:[35, 47] Operation: 10+37=47 Exploring Operation: 37-10=27, Resulting Numbers: [35, 27] Generated Node #0,2,3: 62:[35, 27] Operation: 37-10=27 Exploring Operation: 37-35=2, Resulting Numbers: [10, 2] Generated Node #0,2,4: 62:[10, 2] Operation: 37-35=2 Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 62:[35, 27], Operations: ['88-51=37', '37-10=27'] Exploring Operation: 35+27=62, Resulting Numbers: [62] 62,62 equal: Goal Reached Moving to Node #0 Current State: 62:[51, 35, 88, 10], Operations: [] Exploring Operation: 88-51=37, Resulting Numbers: [35, 10, 37] Generated Node #0,2: 62:[35, 10, 37] Operation: 88-51=37 Moving to Node #0,2 Current State: 62:[35, 10, 37], Operations: ['88-51=37'] Exploring Operation: 37-10=27, Resulting Numbers: [35, 27] Generated Node #0,2,3: 62:[35, 27] Operation: 37-10=27 Moving to Node #0,2,3 Current State: 62:[35, 27], Operations: ['88-51=37', '37-10=27'] Exploring Operation: 35+27=62, Resulting Numbers: [62] 62,62 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.986979
hs_5
sum_heuristic
[ 59, 31, 56, 6 ]
93
[ "59-56=3", "6-3=3", "31*3=93" ]
Current State: 93:[59, 31, 56, 6], Operations: [] Exploring Operation: 59-56=3, Resulting Numbers: [31, 6, 3] Generated Node #2: [31, 6, 3] from Operation: 59-56=3 Current State: 93:[31, 6, 3], Operations: ['59-56=3'] Exploring Operation: 6-3=3, Resulting Numbers: [31, 3] Generated Node #3: [31, 3] from Operation: 6-3=3 Current State: 93:[31, 3], Operations: ['59-56=3', '6-3=3'] Exploring Operation: 31*3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
Current State: 93:[59, 31, 56, 6], Operations: [] Exploring Operation: 59+31=90, Resulting Numbers: [56, 6, 90] Generated Node #0,0: 93:[56, 6, 90] Operation: 59+31=90 Exploring Operation: 59-56=3, Resulting Numbers: [31, 6, 3] Generated Node #0,1: 93:[31, 6, 3] Operation: 59-56=3 Exploring Operation: 59-31=28, Resulting Numbers: [56, 6, 28] Generated Node #0,2: 93:[56, 6, 28] Operation: 59-31=28 Exploring Operation: 59+56=115, Resulting Numbers: [31, 6, 115] Generated Node #0,3: 93:[31, 6, 115] Operation: 59+56=115 Moving to Node #0,1 Current State: 93:[31, 6, 3], Operations: ['59-56=3'] Exploring Operation: 6/3=2, Resulting Numbers: [31, 2] Generated Node #0,1,0: 93:[31, 2] Operation: 6/3=2 Exploring Operation: 31*3=93, Resulting Numbers: [6, 93] Generated Node #0,1,1: 93:[6, 93] Operation: 31*3=93 Exploring Operation: 6-3=3, Resulting Numbers: [31, 3] Generated Node #0,1,2: 93:[31, 3] Operation: 6-3=3 Exploring Operation: 31+6=37, Resulting Numbers: [3, 37] Generated Node #0,1,3: 93:[3, 37] Operation: 31+6=37 Moving to Node #0,3 Current State: 93:[31, 6, 115], Operations: ['59+56=115'] Exploring Operation: 31+6=37, Resulting Numbers: [115, 37] Generated Node #0,3,0: 93:[115, 37] Operation: 31+6=37 Exploring Operation: 115-31=84, Resulting Numbers: [6, 84] Generated Node #0,3,1: 93:[6, 84] Operation: 115-31=84 Exploring Operation: 31-6=25, Resulting Numbers: [115, 25] Generated Node #0,3,2: 93:[115, 25] Operation: 31-6=25 Exploring Operation: 115-6=109, Resulting Numbers: [31, 109] Generated Node #0,3,3: 93:[31, 109] Operation: 115-6=109 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 93:[6, 84], Operations: ['59+56=115', '115-31=84'] Exploring Operation: 84/6=14, Resulting Numbers: [14] 14,93 unequal: No Solution Exploring Operation: 6*84=504, Resulting Numbers: [504] 504,93 unequal: No Solution Exploring Operation: 84-6=78, Resulting Numbers: [78] 78,93 unequal: No Solution Exploring Operation: 6+84=90, Resulting Numbers: [90] 90,93 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 93:[31, 109], Operations: ['59+56=115', '115-6=109'] Exploring Operation: 31+109=140, Resulting Numbers: [140] 140,93 unequal: No Solution Exploring Operation: 109-31=78, Resulting Numbers: [78] 78,93 unequal: No Solution Exploring Operation: 31*109=3379, Resulting Numbers: [3379] 3379,93 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 93:[115, 37], Operations: ['59+56=115', '31+6=37'] Exploring Operation: 115-37=78, Resulting Numbers: [78] 78,93 unequal: No Solution Exploring Operation: 115*37=4255, Resulting Numbers: [4255] 4255,93 unequal: No Solution Exploring Operation: 115+37=152, Resulting Numbers: [152] 152,93 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 93:[115, 25], Operations: ['59+56=115', '31-6=25'] Exploring Operation: 115*25=2875, Resulting Numbers: [2875] 2875,93 unequal: No Solution Exploring Operation: 115-25=90, Resulting Numbers: [90] 90,93 unequal: No Solution Exploring Operation: 115+25=140, Resulting Numbers: [140] 140,93 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 93:[56, 6, 28], Operations: ['59-31=28'] Exploring Operation: 56-6=50, Resulting Numbers: [28, 50] Generated Node #0,2,0: 93:[28, 50] Operation: 56-6=50 Exploring Operation: 56+28=84, Resulting Numbers: [6, 84] Generated Node #0,2,1: 93:[6, 84] Operation: 56+28=84 Exploring Operation: 56-28=28, Resulting Numbers: [6, 28] Generated Node #0,2,2: 93:[6, 28] Operation: 56-28=28 Exploring Operation: 56/28=2, Resulting Numbers: [6, 2] Generated Node #0,2,3: 93:[6, 2] Operation: 56/28=2 Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 93:[6, 2], Operations: ['59-31=28', '56/28=2'] Exploring Operation: 6*2=12, Resulting Numbers: [12] 12,93 unequal: No Solution Exploring Operation: 6+2=8, Resulting Numbers: [8] 8,93 unequal: No Solution Exploring Operation: 6/2=3, Resulting Numbers: [3] 3,93 unequal: No Solution Exploring Operation: 6-2=4, Resulting Numbers: [4] 4,93 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 93:[6, 28], Operations: ['59-31=28', '56-28=28'] Exploring Operation: 28-6=22, Resulting Numbers: [22] 22,93 unequal: No Solution Exploring Operation: 6+28=34, Resulting Numbers: [34] 34,93 unequal: No Solution Exploring Operation: 6*28=168, Resulting Numbers: [168] 168,93 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 93:[6, 84], Operations: ['59-31=28', '56+28=84'] Exploring Operation: 6+84=90, Resulting Numbers: [90] 90,93 unequal: No Solution Exploring Operation: 84/6=14, Resulting Numbers: [14] 14,93 unequal: No Solution Exploring Operation: 6*84=504, Resulting Numbers: [504] 504,93 unequal: No Solution Exploring Operation: 84-6=78, Resulting Numbers: [78] 78,93 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 93:[28, 50], Operations: ['59-31=28', '56-6=50'] Exploring Operation: 28+50=78, Resulting Numbers: [78] 78,93 unequal: No Solution Exploring Operation: 50-28=22, Resulting Numbers: [22] 22,93 unequal: No Solution Exploring Operation: 28*50=1400, Resulting Numbers: [1400] 1400,93 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 93:[56, 6, 90], Operations: ['59+31=90'] Exploring Operation: 56+6=62, Resulting Numbers: [90, 62] Generated Node #0,0,0: 93:[90, 62] Operation: 56+6=62 Exploring Operation: 90-56=34, Resulting Numbers: [6, 34] Generated Node #0,0,1: 93:[6, 34] Operation: 90-56=34 Exploring Operation: 6+90=96, Resulting Numbers: [56, 96] Generated Node #0,0,2: 93:[56, 96] Operation: 6+90=96 Exploring Operation: 56-6=50, Resulting Numbers: [90, 50] Generated Node #0,0,3: 93:[90, 50] Operation: 56-6=50 Moving to Node #0,1,2 Current State: 93:[31, 3], Operations: ['59-56=3', '6-3=3'] Exploring Operation: 31+3=34, Resulting Numbers: [34] 34,93 unequal: No Solution Exploring Operation: 31-3=28, Resulting Numbers: [28] 28,93 unequal: No Solution Exploring Operation: 31*3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached Moving to Node #0 Current State: 93:[59, 31, 56, 6], Operations: [] Exploring Operation: 59-56=3, Resulting Numbers: [31, 6, 3] Generated Node #0,1: 93:[31, 6, 3] Operation: 59-56=3 Moving to Node #0,1 Current State: 93:[31, 6, 3], Operations: ['59-56=3'] Exploring Operation: 6-3=3, Resulting Numbers: [31, 3] Generated Node #0,1,2: 93:[31, 3] Operation: 6-3=3 Moving to Node #0,1,2 Current State: 93:[31, 3], Operations: ['59-56=3', '6-3=3'] Exploring Operation: 31*3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
0.953125
hs_4
sum_heuristic
[ 69, 81, 3, 2 ]
73
[ "69*2=138", "81+138=219", "219/3=73" ]
Current State: 73:[69, 81, 3, 2], Operations: [] Exploring Operation: 69*2=138, Resulting Numbers: [81, 3, 138] Generated Node #2: [81, 3, 138] from Operation: 69*2=138 Current State: 73:[81, 3, 138], Operations: ['69*2=138'] Exploring Operation: 81+138=219, Resulting Numbers: [3, 219] Generated Node #3: [3, 219] from Operation: 81+138=219 Current State: 73:[3, 219], Operations: ['69*2=138', '81+138=219'] Exploring Operation: 219/3=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
Current State: 73:[69, 81, 3, 2], Operations: [] Exploring Operation: 3*2=6, Resulting Numbers: [69, 81, 6] Generated Node #0,0: 73:[69, 81, 6] Operation: 3*2=6 Exploring Operation: 69+2=71, Resulting Numbers: [81, 3, 71] Generated Node #0,1: 73:[81, 3, 71] Operation: 69+2=71 Exploring Operation: 81-3=78, Resulting Numbers: [69, 2, 78] Generated Node #0,2: 73:[69, 2, 78] Operation: 81-3=78 Exploring Operation: 69+3=72, Resulting Numbers: [81, 2, 72] Generated Node #0,3: 73:[81, 2, 72] Operation: 69+3=72 Moving to Node #0,0 Current State: 73:[69, 81, 6], Operations: ['3*2=6'] Exploring Operation: 81+6=87, Resulting Numbers: [69, 87] Generated Node #0,0,0: 73:[69, 87] Operation: 81+6=87 Exploring Operation: 69+6=75, Resulting Numbers: [81, 75] Generated Node #0,0,1: 73:[81, 75] Operation: 69+6=75 Exploring Operation: 69-6=63, Resulting Numbers: [81, 63] Generated Node #0,0,2: 73:[81, 63] Operation: 69-6=63 Exploring Operation: 81-6=75, Resulting Numbers: [69, 75] Generated Node #0,0,3: 73:[69, 75] Operation: 81-6=75 Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 73:[69, 75], Operations: ['3*2=6', '81-6=75'] Exploring Operation: 69+75=144, Resulting Numbers: [144] 144,73 unequal: No Solution Exploring Operation: 69*75=5175, Resulting Numbers: [5175] 5175,73 unequal: No Solution Exploring Operation: 75-69=6, Resulting Numbers: [6] 6,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 73:[81, 75], Operations: ['3*2=6', '69+6=75'] Exploring Operation: 81-75=6, Resulting Numbers: [6] 6,73 unequal: No Solution Exploring Operation: 81*75=6075, Resulting Numbers: [6075] 6075,73 unequal: No Solution Exploring Operation: 81+75=156, Resulting Numbers: [156] 156,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 73:[69, 87], Operations: ['3*2=6', '81+6=87'] Exploring Operation: 69*87=6003, Resulting Numbers: [6003] 6003,73 unequal: No Solution Exploring Operation: 69+87=156, Resulting Numbers: [156] 156,73 unequal: No Solution Exploring Operation: 87-69=18, Resulting Numbers: [18] 18,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 73:[81, 63], Operations: ['3*2=6', '69-6=63'] Exploring Operation: 81*63=5103, Resulting Numbers: [5103] 5103,73 unequal: No Solution Exploring Operation: 81-63=18, Resulting Numbers: [18] 18,73 unequal: No Solution Exploring Operation: 81+63=144, Resulting Numbers: [144] 144,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 73:[69, 2, 78], Operations: ['81-3=78'] Exploring Operation: 78-2=76, Resulting Numbers: [69, 76] Generated Node #0,2,0: 73:[69, 76] Operation: 78-2=76 Exploring Operation: 69-2=67, Resulting Numbers: [78, 67] Generated Node #0,2,1: 73:[78, 67] Operation: 69-2=67 Exploring Operation: 2+78=80, Resulting Numbers: [69, 80] Generated Node #0,2,2: 73:[69, 80] Operation: 2+78=80 Exploring Operation: 69+2=71, Resulting Numbers: [78, 71] Generated Node #0,2,3: 73:[78, 71] Operation: 69+2=71 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 73:[69, 76], Operations: ['81-3=78', '78-2=76'] Exploring Operation: 76-69=7, Resulting Numbers: [7] 7,73 unequal: No Solution Exploring Operation: 69*76=5244, Resulting Numbers: [5244] 5244,73 unequal: No Solution Exploring Operation: 69+76=145, Resulting Numbers: [145] 145,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 73:[78, 71], Operations: ['81-3=78', '69+2=71'] Exploring Operation: 78-71=7, Resulting Numbers: [7] 7,73 unequal: No Solution Exploring Operation: 78*71=5538, Resulting Numbers: [5538] 5538,73 unequal: No Solution Exploring Operation: 78+71=149, Resulting Numbers: [149] 149,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 73:[78, 67], Operations: ['81-3=78', '69-2=67'] Exploring Operation: 78+67=145, Resulting Numbers: [145] 145,73 unequal: No Solution Exploring Operation: 78*67=5226, Resulting Numbers: [5226] 5226,73 unequal: No Solution Exploring Operation: 78-67=11, Resulting Numbers: [11] 11,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 73:[69, 80], Operations: ['81-3=78', '2+78=80'] Exploring Operation: 80-69=11, Resulting Numbers: [11] 11,73 unequal: No Solution Exploring Operation: 69*80=5520, Resulting Numbers: [5520] 5520,73 unequal: No Solution Exploring Operation: 69+80=149, Resulting Numbers: [149] 149,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 73:[81, 3, 71], Operations: ['69+2=71'] Exploring Operation: 71-3=68, Resulting Numbers: [81, 68] Generated Node #0,1,0: 73:[81, 68] Operation: 71-3=68 Exploring Operation: 81-3=78, Resulting Numbers: [71, 78] Generated Node #0,1,1: 73:[71, 78] Operation: 81-3=78 Exploring Operation: 3+71=74, Resulting Numbers: [81, 74] Generated Node #0,1,2: 73:[81, 74] Operation: 3+71=74 Exploring Operation: 81+3=84, Resulting Numbers: [71, 84] Generated Node #0,1,3: 73:[71, 84] Operation: 81+3=84 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 73:[71, 78], Operations: ['69+2=71', '81-3=78'] Exploring Operation: 78-71=7, Resulting Numbers: [7] 7,73 unequal: No Solution Exploring Operation: 71*78=5538, Resulting Numbers: [5538] 5538,73 unequal: No Solution Exploring Operation: 71+78=149, Resulting Numbers: [149] 149,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 73:[81, 74], Operations: ['69+2=71', '3+71=74'] Exploring Operation: 81+74=155, Resulting Numbers: [155] 155,73 unequal: No Solution Exploring Operation: 81*74=5994, Resulting Numbers: [5994] 5994,73 unequal: No Solution Exploring Operation: 81-74=7, Resulting Numbers: [7] 7,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 73:[81, 68], Operations: ['69+2=71', '71-3=68'] Exploring Operation: 81+68=149, Resulting Numbers: [149] 149,73 unequal: No Solution Exploring Operation: 81-68=13, Resulting Numbers: [13] 13,73 unequal: No Solution Exploring Operation: 81*68=5508, Resulting Numbers: [5508] 5508,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 73:[71, 84], Operations: ['69+2=71', '81+3=84'] Exploring Operation: 71*84=5964, Resulting Numbers: [5964] 5964,73 unequal: No Solution Exploring Operation: 84-71=13, Resulting Numbers: [13] 13,73 unequal: No Solution Exploring Operation: 71+84=155, Resulting Numbers: [155] 155,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 73:[81, 2, 72], Operations: ['69+3=72'] Exploring Operation: 2+72=74, Resulting Numbers: [81, 74] Generated Node #0,3,0: 73:[81, 74] Operation: 2+72=74 Exploring Operation: 81-2=79, Resulting Numbers: [72, 79] Generated Node #0,3,1: 73:[72, 79] Operation: 81-2=79 Exploring Operation: 72-2=70, Resulting Numbers: [81, 70] Generated Node #0,3,2: 73:[81, 70] Operation: 72-2=70 Exploring Operation: 81+2=83, Resulting Numbers: [72, 83] Generated Node #0,3,3: 73:[72, 83] Operation: 81+2=83 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 73:[72, 79], Operations: ['69+3=72', '81-2=79'] Exploring Operation: 72*79=5688, Resulting Numbers: [5688] 5688,73 unequal: No Solution Exploring Operation: 72+79=151, Resulting Numbers: [151] 151,73 unequal: No Solution Exploring Operation: 79-72=7, Resulting Numbers: [7] 7,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 73:[81, 74], Operations: ['69+3=72', '2+72=74'] Exploring Operation: 81+74=155, Resulting Numbers: [155] 155,73 unequal: No Solution Exploring Operation: 81*74=5994, Resulting Numbers: [5994] 5994,73 unequal: No Solution Exploring Operation: 81-74=7, Resulting Numbers: [7] 7,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 73:[81, 70], Operations: ['69+3=72', '72-2=70'] Exploring Operation: 81*70=5670, Resulting Numbers: [5670] 5670,73 unequal: No Solution Exploring Operation: 81+70=151, Resulting Numbers: [151] 151,73 unequal: No Solution Exploring Operation: 81-70=11, Resulting Numbers: [11] 11,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 73:[72, 83], Operations: ['69+3=72', '81+2=83'] Exploring Operation: 83-72=11, Resulting Numbers: [11] 11,73 unequal: No Solution Exploring Operation: 72+83=155, Resulting Numbers: [155] 155,73 unequal: No Solution Exploring Operation: 72*83=5976, Resulting Numbers: [5976] 5976,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
sum_heuristic
[ 14, 6, 5, 15 ]
46
[ "15-5=10", "6*10=60", "60-14=46" ]
Current State: 46:[14, 6, 5, 15], Operations: [] Exploring Operation: 15-5=10, Resulting Numbers: [14, 6, 10] Generated Node #2: [14, 6, 10] from Operation: 15-5=10 Current State: 46:[14, 6, 10], Operations: ['15-5=10'] Exploring Operation: 6*10=60, Resulting Numbers: [14, 60] Generated Node #3: [14, 60] from Operation: 6*10=60 Current State: 46:[14, 60], Operations: ['15-5=10', '6*10=60'] Exploring Operation: 60-14=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
Current State: 46:[14, 6, 5, 15], Operations: [] Exploring Operation: 14+15=29, Resulting Numbers: [6, 5, 29] Generated Node #0,0: 46:[6, 5, 29] Operation: 14+15=29 Exploring Operation: 15-14=1, Resulting Numbers: [6, 5, 1] Generated Node #0,1: 46:[6, 5, 1] Operation: 15-14=1 Start Sub Search at level 1: Moving to Node #0,1 Current State: 46:[6, 5, 1], Operations: ['15-14=1'] Exploring Operation: 6-5=1, Resulting Numbers: [1, 1] Generated Node #0,1,0: 46:[1, 1] Operation: 6-5=1 Exploring Operation: 6-1=5, Resulting Numbers: [5, 5] Generated Node #0,1,1: 46:[5, 5] Operation: 6-1=5 Moving to Node #0,1,0 Current State: 46:[1, 1], Operations: ['15-14=1', '6-5=1'] Exploring Operation: 1*1=1, Resulting Numbers: [1] 1,46 unequal: No Solution Exploring Operation: 1+1=2, Resulting Numbers: [2] 2,46 unequal: No Solution Moving to Node #0,1,1 Current State: 46:[5, 5], Operations: ['15-14=1', '6-1=5'] Exploring Operation: 5*5=25, Resulting Numbers: [25] 25,46 unequal: No Solution Exploring Operation: 5/5=1, Resulting Numbers: [1] 1,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 46:[6, 5, 29], Operations: ['14+15=29'] Exploring Operation: 29-6=23, Resulting Numbers: [5, 23] Generated Node #0,0,0: 46:[5, 23] Operation: 29-6=23 Exploring Operation: 29-5=24, Resulting Numbers: [6, 24] Generated Node #0,0,1: 46:[6, 24] Operation: 29-5=24 Moving to Node #0,0,0 Current State: 46:[5, 23], Operations: ['14+15=29', '29-6=23'] Exploring Operation: 23-5=18, Resulting Numbers: [18] 18,46 unequal: No Solution Exploring Operation: 5+23=28, Resulting Numbers: [28] 28,46 unequal: No Solution Moving to Node #0,0,1 Current State: 46:[6, 24], Operations: ['14+15=29', '29-5=24'] Exploring Operation: 24/6=4, Resulting Numbers: [4] 4,46 unequal: No Solution Exploring Operation: 24-6=18, Resulting Numbers: [18] 18,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
sum_heuristic
[ 47, 37, 44, 14 ]
26
[ "47+37=84", "44+14=58", "84-58=26" ]
Current State: 26:[47, 37, 44, 14], Operations: [] Exploring Operation: 47+37=84, Resulting Numbers: [44, 14, 84] Generated Node #2: [44, 14, 84] from Operation: 47+37=84 Current State: 26:[44, 14, 84], Operations: ['47+37=84'] Exploring Operation: 44+14=58, Resulting Numbers: [84, 58] Generated Node #3: [84, 58] from Operation: 44+14=58 Current State: 26:[84, 58], Operations: ['47+37=84', '44+14=58'] Exploring Operation: 84-58=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
Current State: 26:[47, 37, 44, 14], Operations: [] Exploring Operation: 47-44=3, Resulting Numbers: [37, 14, 3] Generated Node #0,0: 26:[37, 14, 3] Operation: 47-44=3 Exploring Operation: 44-37=7, Resulting Numbers: [47, 14, 7] Generated Node #0,1: 26:[47, 14, 7] Operation: 44-37=7 Exploring Operation: 47-14=33, Resulting Numbers: [37, 44, 33] Generated Node #0,2: 26:[37, 44, 33] Operation: 47-14=33 Exploring Operation: 44-14=30, Resulting Numbers: [47, 37, 30] Generated Node #0,3: 26:[47, 37, 30] Operation: 44-14=30 Exploring Operation: 47-37=10, Resulting Numbers: [44, 14, 10] Generated Node #0,4: 26:[44, 14, 10] Operation: 47-37=10 Moving to Node #0,0 Current State: 26:[37, 14, 3], Operations: ['47-44=3'] Exploring Operation: 14+3=17, Resulting Numbers: [37, 17] Generated Node #0,0,0: 26:[37, 17] Operation: 14+3=17 Exploring Operation: 37-14=23, Resulting Numbers: [3, 23] Generated Node #0,0,1: 26:[3, 23] Operation: 37-14=23 Exploring Operation: 37+3=40, Resulting Numbers: [14, 40] Generated Node #0,0,2: 26:[14, 40] Operation: 37+3=40 Exploring Operation: 37-3=34, Resulting Numbers: [14, 34] Generated Node #0,0,3: 26:[14, 34] Operation: 37-3=34 Exploring Operation: 14-3=11, Resulting Numbers: [37, 11] Generated Node #0,0,4: 26:[37, 11] Operation: 14-3=11 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 26:[3, 23], Operations: ['47-44=3', '37-14=23'] Exploring Operation: 3*23=69, Resulting Numbers: [69] 69,26 unequal: No Solution Exploring Operation: 3+23=26, Resulting Numbers: [26] 26,26 equal: Goal Reached Moving to Node #0 Current State: 26:[47, 37, 44, 14], Operations: [] Exploring Operation: 47-44=3, Resulting Numbers: [37, 14, 3] Generated Node #0,0: 26:[37, 14, 3] Operation: 47-44=3 Moving to Node #0,0 Current State: 26:[37, 14, 3], Operations: ['47-44=3'] Exploring Operation: 37-14=23, Resulting Numbers: [3, 23] Generated Node #0,0,1: 26:[3, 23] Operation: 37-14=23 Moving to Node #0,0,1 Current State: 26:[3, 23], Operations: ['47-44=3', '37-14=23'] Exploring Operation: 3+23=26, Resulting Numbers: [26] 26,26 equal: Goal Reached Exit Sub Search at level 1
0.986111
hs_5
sum_heuristic
[ 10, 89, 93, 10 ]
50
[ "93-89=4", "10*4=40", "10+40=50" ]
Current State: 50:[10, 89, 93, 10], Operations: [] Exploring Operation: 93-89=4, Resulting Numbers: [10, 10, 4] Generated Node #2: [10, 10, 4] from Operation: 93-89=4 Current State: 50:[10, 10, 4], Operations: ['93-89=4'] Exploring Operation: 10*4=40, Resulting Numbers: [40] 40,50 equal: Goal Reached Exploring Operation: 10+40=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
Current State: 50:[10, 89, 93, 10], Operations: [] Exploring Operation: 93-89=4, Resulting Numbers: [10, 10, 4] Generated Node #0,0: 50:[10, 10, 4] Operation: 93-89=4 Moving to Node #0,0 Current State: 50:[10, 10, 4], Operations: ['93-89=4'] Exploring Operation: 10-4=6, Resulting Numbers: [10, 6] Generated Node #0,0,0: 50:[10, 6] Operation: 10-4=6 Moving to Node #0,0,0 Current State: 50:[10, 6], Operations: ['93-89=4', '10-4=6'] Exploring Operation: 10-6=4, Resulting Numbers: [4] 4,50 unequal: No Solution No solution found.
0
hs_1
mult_heuristic
[ 68, 77, 63, 91 ]
98
[ "77-68=9", "63/9=7", "91+7=98" ]
Current State: 98:[68, 77, 63, 91], Operations: [] Exploring Operation: 77-68=9, Resulting Numbers: [63, 91, 9] Generated Node #2: [63, 91, 9] from Operation: 77-68=9 Current State: 98:[63, 91, 9], Operations: ['77-68=9'] Exploring Operation: 63/9=7, Resulting Numbers: [91, 7] Generated Node #3: [91, 7] from Operation: 63/9=7 Current State: 98:[91, 7], Operations: ['77-68=9', '63/9=7'] Exploring Operation: 91+7=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
Current State: 98:[68, 77, 63, 91], Operations: [] Exploring Operation: 68-63=5, Resulting Numbers: [77, 91, 5] Generated Node #0,0: 98:[77, 91, 5] Operation: 68-63=5 Exploring Operation: 77-63=14, Resulting Numbers: [68, 91, 14] Generated Node #0,1: 98:[68, 91, 14] Operation: 77-63=14 Exploring Operation: 77-68=9, Resulting Numbers: [63, 91, 9] Generated Node #0,2: 98:[63, 91, 9] Operation: 77-68=9 Start Sub Search at level 1: Moving to Node #0,2 Current State: 98:[63, 91, 9], Operations: ['77-68=9'] Exploring Operation: 91-63=28, Resulting Numbers: [9, 28] Generated Node #0,2,0: 98:[9, 28] Operation: 91-63=28 Exploring Operation: 63/9=7, Resulting Numbers: [91, 7] Generated Node #0,2,1: 98:[91, 7] Operation: 63/9=7 Exploring Operation: 63-9=54, Resulting Numbers: [91, 54] Generated Node #0,2,2: 98:[91, 54] Operation: 63-9=54 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 98:[91, 7], Operations: ['77-68=9', '63/9=7'] Exploring Operation: 91-7=84, Resulting Numbers: [84] 84,98 unequal: No Solution Exploring Operation: 91+7=98, Resulting Numbers: [98] 98,98 equal: Goal Reached Moving to Node #0 Current State: 98:[68, 77, 63, 91], Operations: [] Exploring Operation: 77-68=9, Resulting Numbers: [63, 91, 9] Generated Node #0,2: 98:[63, 91, 9] Operation: 77-68=9 Moving to Node #0,2 Current State: 98:[63, 91, 9], Operations: ['77-68=9'] Exploring Operation: 63/9=7, Resulting Numbers: [91, 7] Generated Node #0,2,1: 98:[91, 7] Operation: 63/9=7 Moving to Node #0,2,1 Current State: 98:[91, 7], Operations: ['77-68=9', '63/9=7'] Exploring Operation: 91+7=98, Resulting Numbers: [98] 98,98 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.989583
hs_3
mult_heuristic
[ 30, 40, 59, 8 ]
61
[ "40-30=10", "59-8=51", "10+51=61" ]
Current State: 61:[30, 40, 59, 8], Operations: [] Exploring Operation: 40-30=10, Resulting Numbers: [59, 8, 10] Generated Node #2: [59, 8, 10] from Operation: 40-30=10 Current State: 61:[59, 8, 10], Operations: ['40-30=10'] Exploring Operation: 59-8=51, Resulting Numbers: [10, 51] Generated Node #3: [10, 51] from Operation: 59-8=51 Current State: 61:[10, 51], Operations: ['40-30=10', '59-8=51'] Exploring Operation: 10+51=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
Current State: 61:[30, 40, 59, 8], Operations: [] Exploring Operation: 30+8=38, Resulting Numbers: [40, 59, 38] Generated Node #0,0: 61:[40, 59, 38] Operation: 30+8=38 Start Sub Search at level 1: Moving to Node #0,0 Current State: 61:[40, 59, 38], Operations: ['30+8=38'] Exploring Operation: 40+38=78, Resulting Numbers: [59, 78] Generated Node #0,0,0: 61:[59, 78] Operation: 40+38=78 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 61:[59, 78], Operations: ['30+8=38', '40+38=78'] Exploring Operation: 78-59=19, Resulting Numbers: [19] 19,61 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
mult_heuristic
[ 28, 42, 57, 48 ]
10
[ "28*57=1596", "1596/42=38", "48-38=10" ]
Current State: 10:[28, 42, 57, 48], Operations: [] Exploring Operation: 28*57=1596, Resulting Numbers: [42, 48, 1596] Generated Node #2: [42, 48, 1596] from Operation: 28*57=1596 Current State: 10:[42, 48, 1596], Operations: ['28*57=1596'] Exploring Operation: 1596/42=38, Resulting Numbers: [48, 38] Generated Node #3: [48, 38] from Operation: 1596/42=38 Current State: 10:[48, 38], Operations: ['28*57=1596', '1596/42=38'] Exploring Operation: 48-38=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
Current State: 10:[28, 42, 57, 48], Operations: [] Exploring Operation: 57-48=9, Resulting Numbers: [28, 42, 9] Generated Node #0,0: 10:[28, 42, 9] Operation: 57-48=9 Start Sub Search at level 1: Moving to Node #0,0 Current State: 10:[28, 42, 9], Operations: ['57-48=9'] Exploring Operation: 42-28=14, Resulting Numbers: [9, 14] Generated Node #0,0,0: 10:[9, 14] Operation: 42-28=14 Moving to Node #0,0,0 Current State: 10:[9, 14], Operations: ['57-48=9', '42-28=14'] Exploring Operation: 14-9=5, Resulting Numbers: [5] 5,10 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
mult_heuristic
[ 29, 6, 27, 81 ]
52
[ "29+81=110", "6*27=162", "162-110=52" ]
Current State: 52:[29, 6, 27, 81], Operations: [] Exploring Operation: 29+81=110, Resulting Numbers: [6, 27, 110] Generated Node #2: [6, 27, 110] from Operation: 29+81=110 Current State: 52:[6, 27, 110], Operations: ['29+81=110'] Exploring Operation: 6*27=162, Resulting Numbers: [110, 162] Generated Node #3: [110, 162] from Operation: 6*27=162 Current State: 52:[110, 162], Operations: ['29+81=110', '6*27=162'] Exploring Operation: 162-110=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
Current State: 52:[29, 6, 27, 81], Operations: [] Exploring Operation: 81/27=3, Resulting Numbers: [29, 6, 3] Generated Node #0,0: 52:[29, 6, 3] Operation: 81/27=3 Exploring Operation: 81-6=75, Resulting Numbers: [29, 27, 75] Generated Node #0,1: 52:[29, 27, 75] Operation: 81-6=75 Exploring Operation: 81-29=52, Resulting Numbers: [6, 27, 52] Generated Node #0,2: 52:[6, 27, 52] Operation: 81-29=52 Exploring Operation: 81-27=54, Resulting Numbers: [29, 6, 54] Generated Node #0,3: 52:[29, 6, 54] Operation: 81-27=54 Exploring Operation: 29-27=2, Resulting Numbers: [6, 81, 2] Generated Node #0,4: 52:[6, 81, 2] Operation: 29-27=2 Start Sub Search at level 1: Moving to Node #0,2 Current State: 52:[6, 27, 52], Operations: ['81-29=52'] Exploring Operation: 6+27=33, Resulting Numbers: [52, 33] Generated Node #0,2,0: 52:[52, 33] Operation: 6+27=33 Exploring Operation: 52-27=25, Resulting Numbers: [6, 25] Generated Node #0,2,1: 52:[6, 25] Operation: 52-27=25 Exploring Operation: 27-6=21, Resulting Numbers: [52, 21] Generated Node #0,2,2: 52:[52, 21] Operation: 27-6=21 Exploring Operation: 6+52=58, Resulting Numbers: [27, 58] Generated Node #0,2,3: 52:[27, 58] Operation: 6+52=58 Exploring Operation: 52-6=46, Resulting Numbers: [27, 46] Generated Node #0,2,4: 52:[27, 46] Operation: 52-6=46 Moving to Node #0,2,1 Current State: 52:[6, 25], Operations: ['81-29=52', '52-27=25'] Exploring Operation: 6+25=31, Resulting Numbers: [31] 31,52 unequal: No Solution Exploring Operation: 25-6=19, Resulting Numbers: [19] 19,52 unequal: No Solution Exploring Operation: 6*25=150, Resulting Numbers: [150] 150,52 unequal: No Solution Moving to Node #0,2,2 Current State: 52:[52, 21], Operations: ['81-29=52', '27-6=21'] Exploring Operation: 52*21=1092, Resulting Numbers: [1092] 1092,52 unequal: No Solution Exploring Operation: 52+21=73, Resulting Numbers: [73] 73,52 unequal: No Solution Exploring Operation: 52-21=31, Resulting Numbers: [31] 31,52 unequal: No Solution Moving to Node #0,2,0 Current State: 52:[52, 33], Operations: ['81-29=52', '6+27=33'] Exploring Operation: 52*33=1716, Resulting Numbers: [1716] 1716,52 unequal: No Solution Exploring Operation: 52-33=19, Resulting Numbers: [19] 19,52 unequal: No Solution Exploring Operation: 52+33=85, Resulting Numbers: [85] 85,52 unequal: No Solution Moving to Node #0,2,3 Current State: 52:[27, 58], Operations: ['81-29=52', '6+52=58'] Exploring Operation: 27*58=1566, Resulting Numbers: [1566] 1566,52 unequal: No Solution Exploring Operation: 58-27=31, Resulting Numbers: [31] 31,52 unequal: No Solution Exploring Operation: 27+58=85, Resulting Numbers: [85] 85,52 unequal: No Solution Moving to Node #0,2,4 Current State: 52:[27, 46], Operations: ['81-29=52', '52-6=46'] Exploring Operation: 27*46=1242, Resulting Numbers: [1242] 1242,52 unequal: No Solution Exploring Operation: 46-27=19, Resulting Numbers: [19] 19,52 unequal: No Solution Exploring Operation: 27+46=73, Resulting Numbers: [73] 73,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 52:[29, 6, 3], Operations: ['81/27=3'] Exploring Operation: 6+3=9, Resulting Numbers: [29, 9] Generated Node #0,0,0: 52:[29, 9] Operation: 6+3=9 Exploring Operation: 6/3=2, Resulting Numbers: [29, 2] Generated Node #0,0,1: 52:[29, 2] Operation: 6/3=2 Exploring Operation: 29-6=23, Resulting Numbers: [3, 23] Generated Node #0,0,2: 52:[3, 23] Operation: 29-6=23 Exploring Operation: 6-3=3, Resulting Numbers: [29, 3] Generated Node #0,0,3: 52:[29, 3] Operation: 6-3=3 Exploring Operation: 29-3=26, Resulting Numbers: [6, 26] Generated Node #0,0,4: 52:[6, 26] Operation: 29-3=26 Start Sub Search at level 2: Moving to Node #0,0,4 Current State: 52:[6, 26], Operations: ['81/27=3', '29-3=26'] Exploring Operation: 6+26=32, Resulting Numbers: [32] 32,52 unequal: No Solution Exploring Operation: 26-6=20, Resulting Numbers: [20] 20,52 unequal: No Solution Exploring Operation: 6*26=156, Resulting Numbers: [156] 156,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 52:[29, 2], Operations: ['81/27=3', '6/3=2'] Exploring Operation: 29*2=58, Resulting Numbers: [58] 58,52 unequal: No Solution Exploring Operation: 29+2=31, Resulting Numbers: [31] 31,52 unequal: No Solution Exploring Operation: 29-2=27, Resulting Numbers: [27] 27,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 52:[3, 23], Operations: ['81/27=3', '29-6=23'] Exploring Operation: 3*23=69, Resulting Numbers: [69] 69,52 unequal: No Solution Exploring Operation: 3+23=26, Resulting Numbers: [26] 26,52 unequal: No Solution Exploring Operation: 23-3=20, Resulting Numbers: [20] 20,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 52:[29, 3], Operations: ['81/27=3', '6-3=3'] Exploring Operation: 29+3=32, Resulting Numbers: [32] 32,52 unequal: No Solution Exploring Operation: 29-3=26, Resulting Numbers: [26] 26,52 unequal: No Solution Exploring Operation: 29*3=87, Resulting Numbers: [87] 87,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 52:[29, 9], Operations: ['81/27=3', '6+3=9'] Exploring Operation: 29*9=261, Resulting Numbers: [261] 261,52 unequal: No Solution Exploring Operation: 29-9=20, Resulting Numbers: [20] 20,52 unequal: No Solution Exploring Operation: 29+9=38, Resulting Numbers: [38] 38,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 52:[29, 6, 54], Operations: ['81-27=54'] Exploring Operation: 54-6=48, Resulting Numbers: [29, 48] Generated Node #0,3,0: 52:[29, 48] Operation: 54-6=48 Exploring Operation: 54-29=25, Resulting Numbers: [6, 25] Generated Node #0,3,1: 52:[6, 25] Operation: 54-29=25 Exploring Operation: 29+6=35, Resulting Numbers: [54, 35] Generated Node #0,3,2: 52:[54, 35] Operation: 29+6=35 Exploring Operation: 29-6=23, Resulting Numbers: [54, 23] Generated Node #0,3,3: 52:[54, 23] Operation: 29-6=23 Exploring Operation: 54/6=9, Resulting Numbers: [29, 9] Generated Node #0,3,4: 52:[29, 9] Operation: 54/6=9 Moving to Node #0,3,1 Current State: 52:[6, 25], Operations: ['81-27=54', '54-29=25'] Exploring Operation: 6*25=150, Resulting Numbers: [150] 150,52 unequal: No Solution Exploring Operation: 6+25=31, Resulting Numbers: [31] 31,52 unequal: No Solution Exploring Operation: 25-6=19, Resulting Numbers: [19] 19,52 unequal: No Solution Moving to Node #0,3,3 Current State: 52:[54, 23], Operations: ['81-27=54', '29-6=23'] Exploring Operation: 54*23=1242, Resulting Numbers: [1242] 1242,52 unequal: No Solution Exploring Operation: 54-23=31, Resulting Numbers: [31] 31,52 unequal: No Solution Exploring Operation: 54+23=77, Resulting Numbers: [77] 77,52 unequal: No Solution Moving to Node #0,3,0 Current State: 52:[29, 48], Operations: ['81-27=54', '54-6=48'] Exploring Operation: 29*48=1392, Resulting Numbers: [1392] 1392,52 unequal: No Solution Exploring Operation: 48-29=19, Resulting Numbers: [19] 19,52 unequal: No Solution Exploring Operation: 29+48=77, Resulting Numbers: [77] 77,52 unequal: No Solution Moving to Node #0,3,4 Current State: 52:[29, 9], Operations: ['81-27=54', '54/6=9'] Exploring Operation: 29-9=20, Resulting Numbers: [20] 20,52 unequal: No Solution Exploring Operation: 29*9=261, Resulting Numbers: [261] 261,52 unequal: No Solution Exploring Operation: 29+9=38, Resulting Numbers: [38] 38,52 unequal: No Solution Moving to Node #0,3,2 Current State: 52:[54, 35], Operations: ['81-27=54', '29+6=35'] Exploring Operation: 54+35=89, Resulting Numbers: [89] 89,52 unequal: No Solution Exploring Operation: 54*35=1890, Resulting Numbers: [1890] 1890,52 unequal: No Solution Exploring Operation: 54-35=19, Resulting Numbers: [19] 19,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 52:[29, 27, 75], Operations: ['81-6=75'] Exploring Operation: 29+27=56, Resulting Numbers: [75, 56] Generated Node #0,1,0: 52:[75, 56] Operation: 29+27=56 Exploring Operation: 29-27=2, Resulting Numbers: [75, 2] Generated Node #0,1,1: 52:[75, 2] Operation: 29-27=2 Exploring Operation: 75-27=48, Resulting Numbers: [29, 48] Generated Node #0,1,2: 52:[29, 48] Operation: 75-27=48 Exploring Operation: 29+75=104, Resulting Numbers: [27, 104] Generated Node #0,1,3: 52:[27, 104] Operation: 29+75=104 Exploring Operation: 75-29=46, Resulting Numbers: [27, 46] Generated Node #0,1,4: 52:[27, 46] Operation: 75-29=46 Moving to Node #0,1,2 Current State: 52:[29, 48], Operations: ['81-6=75', '75-27=48'] Exploring Operation: 29*48=1392, Resulting Numbers: [1392] 1392,52 unequal: No Solution Exploring Operation: 29+48=77, Resulting Numbers: [77] 77,52 unequal: No Solution Exploring Operation: 48-29=19, Resulting Numbers: [19] 19,52 unequal: No Solution Moving to Node #0,1,4 Current State: 52:[27, 46], Operations: ['81-6=75', '75-29=46'] Exploring Operation: 27+46=73, Resulting Numbers: [73] 73,52 unequal: No Solution Exploring Operation: 46-27=19, Resulting Numbers: [19] 19,52 unequal: No Solution Exploring Operation: 27*46=1242, Resulting Numbers: [1242] 1242,52 unequal: No Solution Moving to Node #0,1,1 Current State: 52:[75, 2], Operations: ['81-6=75', '29-27=2'] Exploring Operation: 75+2=77, Resulting Numbers: [77] 77,52 unequal: No Solution Exploring Operation: 75*2=150, Resulting Numbers: [150] 150,52 unequal: No Solution Exploring Operation: 75-2=73, Resulting Numbers: [73] 73,52 unequal: No Solution Moving to Node #0,1,0 Current State: 52:[75, 56], Operations: ['81-6=75', '29+27=56'] Exploring Operation: 75+56=131, Resulting Numbers: [131] 131,52 unequal: No Solution Exploring Operation: 75*56=4200, Resulting Numbers: [4200] 4200,52 unequal: No Solution Exploring Operation: 75-56=19, Resulting Numbers: [19] 19,52 unequal: No Solution Moving to Node #0,1,3 Current State: 52:[27, 104], Operations: ['81-6=75', '29+75=104'] Exploring Operation: 104-27=77, Resulting Numbers: [77] 77,52 unequal: No Solution Exploring Operation: 27+104=131, Resulting Numbers: [131] 131,52 unequal: No Solution Exploring Operation: 27*104=2808, Resulting Numbers: [2808] 2808,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 52:[6, 81, 2], Operations: ['29-27=2'] Exploring Operation: 6*2=12, Resulting Numbers: [81, 12] Generated Node #0,4,0: 52:[81, 12] Operation: 6*2=12 Exploring Operation: 81-6=75, Resulting Numbers: [2, 75] Generated Node #0,4,1: 52:[2, 75] Operation: 81-6=75 Exploring Operation: 6-2=4, Resulting Numbers: [81, 4] Generated Node #0,4,2: 52:[81, 4] Operation: 6-2=4 Exploring Operation: 81-2=79, Resulting Numbers: [6, 79] Generated Node #0,4,3: 52:[6, 79] Operation: 81-2=79 Exploring Operation: 6/2=3, Resulting Numbers: [81, 3] Generated Node #0,4,4: 52:[81, 3] Operation: 6/2=3 Start Sub Search at level 2: Moving to Node #0,4,1 Current State: 52:[2, 75], Operations: ['29-27=2', '81-6=75'] Exploring Operation: 2*75=150, Resulting Numbers: [150] 150,52 unequal: No Solution Exploring Operation: 2+75=77, Resulting Numbers: [77] 77,52 unequal: No Solution Exploring Operation: 75-2=73, Resulting Numbers: [73] 73,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,2 Current State: 52:[81, 4], Operations: ['29-27=2', '6-2=4'] Exploring Operation: 81*4=324, Resulting Numbers: [324] 324,52 unequal: No Solution Exploring Operation: 81+4=85, Resulting Numbers: [85] 85,52 unequal: No Solution Exploring Operation: 81-4=77, Resulting Numbers: [77] 77,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,3 Current State: 52:[6, 79], Operations: ['29-27=2', '81-2=79'] Exploring Operation: 79-6=73, Resulting Numbers: [73] 73,52 unequal: No Solution Exploring Operation: 6+79=85, Resulting Numbers: [85] 85,52 unequal: No Solution Exploring Operation: 6*79=474, Resulting Numbers: [474] 474,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,0 Current State: 52:[81, 12], Operations: ['29-27=2', '6*2=12'] Exploring Operation: 81+12=93, Resulting Numbers: [93] 93,52 unequal: No Solution Exploring Operation: 81-12=69, Resulting Numbers: [69] 69,52 unequal: No Solution Exploring Operation: 81*12=972, Resulting Numbers: [972] 972,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,4 Current State: 52:[81, 3], Operations: ['29-27=2', '6/2=3'] Exploring Operation: 81-3=78, Resulting Numbers: [78] 78,52 unequal: No Solution Exploring Operation: 81*3=243, Resulting Numbers: [243] 243,52 unequal: No Solution Exploring Operation: 81/3=27, Resulting Numbers: [27] 27,52 unequal: No Solution Exploring Operation: 81+3=84, Resulting Numbers: [84] 84,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
mult_heuristic
[ 11, 83, 33, 46 ]
60
[ "46-33=13", "11*13=143", "143-83=60" ]
Current State: 60:[11, 83, 33, 46], Operations: [] Exploring Operation: 46-33=13, Resulting Numbers: [11, 83, 13] Generated Node #2: [11, 83, 13] from Operation: 46-33=13 Current State: 60:[11, 83, 13], Operations: ['46-33=13'] Exploring Operation: 11*13=143, Resulting Numbers: [83, 143] Generated Node #3: [83, 143] from Operation: 11*13=143 Current State: 60:[83, 143], Operations: ['46-33=13', '11*13=143'] Exploring Operation: 143-83=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
Current State: 60:[11, 83, 33, 46], Operations: [] Exploring Operation: 83-33=50, Resulting Numbers: [11, 46, 50] Generated Node #0,0: 60:[11, 46, 50] Operation: 83-33=50 Exploring Operation: 46-33=13, Resulting Numbers: [11, 83, 13] Generated Node #0,1: 60:[11, 83, 13] Operation: 46-33=13 Exploring Operation: 83-46=37, Resulting Numbers: [11, 33, 37] Generated Node #0,2: 60:[11, 33, 37] Operation: 83-46=37 Exploring Operation: 83-11=72, Resulting Numbers: [33, 46, 72] Generated Node #0,3: 60:[33, 46, 72] Operation: 83-11=72 Start Sub Search at level 1: Moving to Node #0,2 Current State: 60:[11, 33, 37], Operations: ['83-46=37'] Exploring Operation: 33-11=22, Resulting Numbers: [37, 22] Generated Node #0,2,0: 60:[37, 22] Operation: 33-11=22 Exploring Operation: 37-33=4, Resulting Numbers: [11, 4] Generated Node #0,2,1: 60:[11, 4] Operation: 37-33=4 Exploring Operation: 33/11=3, Resulting Numbers: [37, 3] Generated Node #0,2,2: 60:[37, 3] Operation: 33/11=3 Exploring Operation: 37-11=26, Resulting Numbers: [33, 26] Generated Node #0,2,3: 60:[33, 26] Operation: 37-11=26 Moving to Node #0,2,1 Current State: 60:[11, 4], Operations: ['83-46=37', '37-33=4'] Exploring Operation: 11*4=44, Resulting Numbers: [44] 44,60 unequal: No Solution Exploring Operation: 11-4=7, Resulting Numbers: [7] 7,60 unequal: No Solution Exploring Operation: 11+4=15, Resulting Numbers: [15] 15,60 unequal: No Solution Moving to Node #0,2,3 Current State: 60:[33, 26], Operations: ['83-46=37', '37-11=26'] Exploring Operation: 33+26=59, Resulting Numbers: [59] 59,60 unequal: No Solution Exploring Operation: 33*26=858, Resulting Numbers: [858] 858,60 unequal: No Solution Exploring Operation: 33-26=7, Resulting Numbers: [7] 7,60 unequal: No Solution Moving to Node #0,2,2 Current State: 60:[37, 3], Operations: ['83-46=37', '33/11=3'] Exploring Operation: 37-3=34, Resulting Numbers: [34] 34,60 unequal: No Solution Exploring Operation: 37*3=111, Resulting Numbers: [111] 111,60 unequal: No Solution Exploring Operation: 37+3=40, Resulting Numbers: [40] 40,60 unequal: No Solution Moving to Node #0,2,0 Current State: 60:[37, 22], Operations: ['83-46=37', '33-11=22'] Exploring Operation: 37*22=814, Resulting Numbers: [814] 814,60 unequal: No Solution Exploring Operation: 37+22=59, Resulting Numbers: [59] 59,60 unequal: No Solution Exploring Operation: 37-22=15, Resulting Numbers: [15] 15,60 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 60:[11, 46, 50], Operations: ['83-33=50'] Exploring Operation: 11+50=61, Resulting Numbers: [46, 61] Generated Node #0,0,0: 60:[46, 61] Operation: 11+50=61 Exploring Operation: 50-46=4, Resulting Numbers: [11, 4] Generated Node #0,0,1: 60:[11, 4] Operation: 50-46=4 Exploring Operation: 46-11=35, Resulting Numbers: [50, 35] Generated Node #0,0,2: 60:[50, 35] Operation: 46-11=35 Exploring Operation: 11+46=57, Resulting Numbers: [50, 57] Generated Node #0,0,3: 60:[50, 57] Operation: 11+46=57 Moving to Node #0,0,1 Current State: 60:[11, 4], Operations: ['83-33=50', '50-46=4'] Exploring Operation: 11+4=15, Resulting Numbers: [15] 15,60 unequal: No Solution Exploring Operation: 11-4=7, Resulting Numbers: [7] 7,60 unequal: No Solution Exploring Operation: 11*4=44, Resulting Numbers: [44] 44,60 unequal: No Solution Moving to Node #0,0,3 Current State: 60:[50, 57], Operations: ['83-33=50', '11+46=57'] Exploring Operation: 50*57=2850, Resulting Numbers: [2850] 2850,60 unequal: No Solution Exploring Operation: 50+57=107, Resulting Numbers: [107] 107,60 unequal: No Solution Exploring Operation: 57-50=7, Resulting Numbers: [7] 7,60 unequal: No Solution Moving to Node #0,0,2 Current State: 60:[50, 35], Operations: ['83-33=50', '46-11=35'] Exploring Operation: 50*35=1750, Resulting Numbers: [1750] 1750,60 unequal: No Solution Exploring Operation: 50-35=15, Resulting Numbers: [15] 15,60 unequal: No Solution Exploring Operation: 50+35=85, Resulting Numbers: [85] 85,60 unequal: No Solution Moving to Node #0,0,0 Current State: 60:[46, 61], Operations: ['83-33=50', '11+50=61'] Exploring Operation: 61-46=15, Resulting Numbers: [15] 15,60 unequal: No Solution Exploring Operation: 46+61=107, Resulting Numbers: [107] 107,60 unequal: No Solution Exploring Operation: 46*61=2806, Resulting Numbers: [2806] 2806,60 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 60:[11, 83, 13], Operations: ['46-33=13'] Exploring Operation: 11+13=24, Resulting Numbers: [83, 24] Generated Node #0,1,0: 60:[83, 24] Operation: 11+13=24 Exploring Operation: 83-11=72, Resulting Numbers: [13, 72] Generated Node #0,1,1: 60:[13, 72] Operation: 83-11=72 Exploring Operation: 83-13=70, Resulting Numbers: [11, 70] Generated Node #0,1,2: 60:[11, 70] Operation: 83-13=70 Exploring Operation: 13-11=2, Resulting Numbers: [83, 2] Generated Node #0,1,3: 60:[83, 2] Operation: 13-11=2 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 60:[11, 70], Operations: ['46-33=13', '83-13=70'] Exploring Operation: 11+70=81, Resulting Numbers: [81] 81,60 unequal: No Solution Exploring Operation: 70-11=59, Resulting Numbers: [59] 59,60 unequal: No Solution Exploring Operation: 11*70=770, Resulting Numbers: [770] 770,60 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 60:[13, 72], Operations: ['46-33=13', '83-11=72'] Exploring Operation: 72-13=59, Resulting Numbers: [59] 59,60 unequal: No Solution Exploring Operation: 13*72=936, Resulting Numbers: [936] 936,60 unequal: No Solution Exploring Operation: 13+72=85, Resulting Numbers: [85] 85,60 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 60:[83, 2], Operations: ['46-33=13', '13-11=2'] Exploring Operation: 83*2=166, Resulting Numbers: [166] 166,60 unequal: No Solution Exploring Operation: 83-2=81, Resulting Numbers: [81] 81,60 unequal: No Solution Exploring Operation: 83+2=85, Resulting Numbers: [85] 85,60 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 60:[83, 24], Operations: ['46-33=13', '11+13=24'] Exploring Operation: 83+24=107, Resulting Numbers: [107] 107,60 unequal: No Solution Exploring Operation: 83-24=59, Resulting Numbers: [59] 59,60 unequal: No Solution Exploring Operation: 83*24=1992, Resulting Numbers: [1992] 1992,60 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 60:[33, 46, 72], Operations: ['83-11=72'] Exploring Operation: 46-33=13, Resulting Numbers: [72, 13] Generated Node #0,3,0: 60:[72, 13] Operation: 46-33=13 Exploring Operation: 72-46=26, Resulting Numbers: [33, 26] Generated Node #0,3,1: 60:[33, 26] Operation: 72-46=26 Exploring Operation: 33+46=79, Resulting Numbers: [72, 79] Generated Node #0,3,2: 60:[72, 79] Operation: 33+46=79 Exploring Operation: 72-33=39, Resulting Numbers: [46, 39] Generated Node #0,3,3: 60:[46, 39] Operation: 72-33=39 Moving to Node #0,3,1 Current State: 60:[33, 26], Operations: ['83-11=72', '72-46=26'] Exploring Operation: 33-26=7, Resulting Numbers: [7] 7,60 unequal: No Solution Exploring Operation: 33*26=858, Resulting Numbers: [858] 858,60 unequal: No Solution Exploring Operation: 33+26=59, Resulting Numbers: [59] 59,60 unequal: No Solution Moving to Node #0,3,0 Current State: 60:[72, 13], Operations: ['83-11=72', '46-33=13'] Exploring Operation: 72-13=59, Resulting Numbers: [59] 59,60 unequal: No Solution Exploring Operation: 72+13=85, Resulting Numbers: [85] 85,60 unequal: No Solution Exploring Operation: 72*13=936, Resulting Numbers: [936] 936,60 unequal: No Solution Moving to Node #0,3,3 Current State: 60:[46, 39], Operations: ['83-11=72', '72-33=39'] Exploring Operation: 46-39=7, Resulting Numbers: [7] 7,60 unequal: No Solution Exploring Operation: 46+39=85, Resulting Numbers: [85] 85,60 unequal: No Solution Exploring Operation: 46*39=1794, Resulting Numbers: [1794] 1794,60 unequal: No Solution Moving to Node #0,3,2 Current State: 60:[72, 79], Operations: ['83-11=72', '33+46=79'] Exploring Operation: 72*79=5688, Resulting Numbers: [5688] 5688,60 unequal: No Solution Exploring Operation: 72+79=151, Resulting Numbers: [151] 151,60 unequal: No Solution Exploring Operation: 79-72=7, Resulting Numbers: [7] 7,60 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
mult_heuristic
[ 33, 85, 37, 61 ]
66
[ "85+37=122", "33*122=4026", "4026/61=66" ]
Current State: 66:[33, 85, 37, 61], Operations: [] Exploring Operation: 85+37=122, Resulting Numbers: [33, 61, 122] Generated Node #2: [33, 61, 122] from Operation: 85+37=122 Current State: 66:[33, 61, 122], Operations: ['85+37=122'] Exploring Operation: 33*122=4026, Resulting Numbers: [61, 4026] Generated Node #3: [61, 4026] from Operation: 33*122=4026 Current State: 66:[61, 4026], Operations: ['85+37=122', '33*122=4026'] Exploring Operation: 4026/61=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
Current State: 66:[33, 85, 37, 61], Operations: [] Exploring Operation: 85-37=48, Resulting Numbers: [33, 61, 48] Generated Node #0,0: 66:[33, 61, 48] Operation: 85-37=48 Exploring Operation: 37-33=4, Resulting Numbers: [85, 61, 4] Generated Node #0,1: 66:[85, 61, 4] Operation: 37-33=4 Exploring Operation: 85-33=52, Resulting Numbers: [37, 61, 52] Generated Node #0,2: 66:[37, 61, 52] Operation: 85-33=52 Exploring Operation: 61-37=24, Resulting Numbers: [33, 85, 24] Generated Node #0,3: 66:[33, 85, 24] Operation: 61-37=24 Exploring Operation: 85-61=24, Resulting Numbers: [33, 37, 24] Generated Node #0,4: 66:[33, 37, 24] Operation: 85-61=24 Start Sub Search at level 1: Moving to Node #0,4 Current State: 66:[33, 37, 24], Operations: ['85-61=24'] Exploring Operation: 37-33=4, Resulting Numbers: [24, 4] Generated Node #0,4,0: 66:[24, 4] Operation: 37-33=4 Exploring Operation: 37+24=61, Resulting Numbers: [33, 61] Generated Node #0,4,1: 66:[33, 61] Operation: 37+24=61 Exploring Operation: 33+37=70, Resulting Numbers: [24, 70] Generated Node #0,4,2: 66:[24, 70] Operation: 33+37=70 Exploring Operation: 33-24=9, Resulting Numbers: [37, 9] Generated Node #0,4,3: 66:[37, 9] Operation: 33-24=9 Exploring Operation: 37-24=13, Resulting Numbers: [33, 13] Generated Node #0,4,4: 66:[33, 13] Operation: 37-24=13 Moving to Node #0,4,4 Current State: 66:[33, 13], Operations: ['85-61=24', '37-24=13'] Exploring Operation: 33-13=20, Resulting Numbers: [20] 20,66 unequal: No Solution Exploring Operation: 33*13=429, Resulting Numbers: [429] 429,66 unequal: No Solution Exploring Operation: 33+13=46, Resulting Numbers: [46] 46,66 unequal: No Solution Moving to Node #0,4,0 Current State: 66:[24, 4], Operations: ['85-61=24', '37-33=4'] Exploring Operation: 24+4=28, Resulting Numbers: [28] 28,66 unequal: No Solution Exploring Operation: 24-4=20, Resulting Numbers: [20] 20,66 unequal: No Solution Exploring Operation: 24*4=96, Resulting Numbers: [96] 96,66 unequal: No Solution Exploring Operation: 24/4=6, Resulting Numbers: [6] 6,66 unequal: No Solution Moving to Node #0,4,1 Current State: 66:[33, 61], Operations: ['85-61=24', '37+24=61'] Exploring Operation: 61-33=28, Resulting Numbers: [28] 28,66 unequal: No Solution Exploring Operation: 33+61=94, Resulting Numbers: [94] 94,66 unequal: No Solution Exploring Operation: 33*61=2013, Resulting Numbers: [2013] 2013,66 unequal: No Solution Moving to Node #0,4,2 Current State: 66:[24, 70], Operations: ['85-61=24', '33+37=70'] Exploring Operation: 24*70=1680, Resulting Numbers: [1680] 1680,66 unequal: No Solution Exploring Operation: 70-24=46, Resulting Numbers: [46] 46,66 unequal: No Solution Exploring Operation: 24+70=94, Resulting Numbers: [94] 94,66 unequal: No Solution Moving to Node #0,4,3 Current State: 66:[37, 9], Operations: ['85-61=24', '33-24=9'] Exploring Operation: 37-9=28, Resulting Numbers: [28] 28,66 unequal: No Solution Exploring Operation: 37+9=46, Resulting Numbers: [46] 46,66 unequal: No Solution Exploring Operation: 37*9=333, Resulting Numbers: [333] 333,66 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 66:[33, 61, 48], Operations: ['85-37=48'] Exploring Operation: 33+48=81, Resulting Numbers: [61, 81] Generated Node #0,0,0: 66:[61, 81] Operation: 33+48=81 Exploring Operation: 61-48=13, Resulting Numbers: [33, 13] Generated Node #0,0,1: 66:[33, 13] Operation: 61-48=13 Exploring Operation: 33+61=94, Resulting Numbers: [48, 94] Generated Node #0,0,2: 66:[48, 94] Operation: 33+61=94 Exploring Operation: 61-33=28, Resulting Numbers: [48, 28] Generated Node #0,0,3: 66:[48, 28] Operation: 61-33=28 Exploring Operation: 48-33=15, Resulting Numbers: [61, 15] Generated Node #0,0,4: 66:[61, 15] Operation: 48-33=15 Moving to Node #0,0,1 Current State: 66:[33, 13], Operations: ['85-37=48', '61-48=13'] Exploring Operation: 33+13=46, Resulting Numbers: [46] 46,66 unequal: No Solution Exploring Operation: 33*13=429, Resulting Numbers: [429] 429,66 unequal: No Solution Exploring Operation: 33-13=20, Resulting Numbers: [20] 20,66 unequal: No Solution Moving to Node #0,0,4 Current State: 66:[61, 15], Operations: ['85-37=48', '48-33=15'] Exploring Operation: 61-15=46, Resulting Numbers: [46] 46,66 unequal: No Solution Exploring Operation: 61+15=76, Resulting Numbers: [76] 76,66 unequal: No Solution Exploring Operation: 61*15=915, Resulting Numbers: [915] 915,66 unequal: No Solution Moving to Node #0,0,0 Current State: 66:[61, 81], Operations: ['85-37=48', '33+48=81'] Exploring Operation: 61+81=142, Resulting Numbers: [142] 142,66 unequal: No Solution Exploring Operation: 61*81=4941, Resulting Numbers: [4941] 4941,66 unequal: No Solution Exploring Operation: 81-61=20, Resulting Numbers: [20] 20,66 unequal: No Solution Moving to Node #0,0,3 Current State: 66:[48, 28], Operations: ['85-37=48', '61-33=28'] Exploring Operation: 48+28=76, Resulting Numbers: [76] 76,66 unequal: No Solution Exploring Operation: 48-28=20, Resulting Numbers: [20] 20,66 unequal: No Solution Exploring Operation: 48*28=1344, Resulting Numbers: [1344] 1344,66 unequal: No Solution Moving to Node #0,0,2 Current State: 66:[48, 94], Operations: ['85-37=48', '33+61=94'] Exploring Operation: 48+94=142, Resulting Numbers: [142] 142,66 unequal: No Solution Exploring Operation: 94-48=46, Resulting Numbers: [46] 46,66 unequal: No Solution Exploring Operation: 48*94=4512, Resulting Numbers: [4512] 4512,66 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 66:[33, 85, 24], Operations: ['61-37=24'] Exploring Operation: 85-24=61, Resulting Numbers: [33, 61] Generated Node #0,3,0: 66:[33, 61] Operation: 85-24=61 Exploring Operation: 85+24=109, Resulting Numbers: [33, 109] Generated Node #0,3,1: 66:[33, 109] Operation: 85+24=109 Exploring Operation: 85-33=52, Resulting Numbers: [24, 52] Generated Node #0,3,2: 66:[24, 52] Operation: 85-33=52 Exploring Operation: 33-24=9, Resulting Numbers: [85, 9] Generated Node #0,3,3: 66:[85, 9] Operation: 33-24=9 Exploring Operation: 33+24=57, Resulting Numbers: [85, 57] Generated Node #0,3,4: 66:[85, 57] Operation: 33+24=57 Moving to Node #0,3,0 Current State: 66:[33, 61], Operations: ['61-37=24', '85-24=61'] Exploring Operation: 33*61=2013, Resulting Numbers: [2013] 2013,66 unequal: No Solution Exploring Operation: 61-33=28, Resulting Numbers: [28] 28,66 unequal: No Solution Exploring Operation: 33+61=94, Resulting Numbers: [94] 94,66 unequal: No Solution Moving to Node #0,3,2 Current State: 66:[24, 52], Operations: ['61-37=24', '85-33=52'] Exploring Operation: 24+52=76, Resulting Numbers: [76] 76,66 unequal: No Solution Exploring Operation: 52-24=28, Resulting Numbers: [28] 28,66 unequal: No Solution Exploring Operation: 24*52=1248, Resulting Numbers: [1248] 1248,66 unequal: No Solution Moving to Node #0,3,3 Current State: 66:[85, 9], Operations: ['61-37=24', '33-24=9'] Exploring Operation: 85*9=765, Resulting Numbers: [765] 765,66 unequal: No Solution Exploring Operation: 85+9=94, Resulting Numbers: [94] 94,66 unequal: No Solution Exploring Operation: 85-9=76, Resulting Numbers: [76] 76,66 unequal: No Solution Moving to Node #0,3,4 Current State: 66:[85, 57], Operations: ['61-37=24', '33+24=57'] Exploring Operation: 85*57=4845, Resulting Numbers: [4845] 4845,66 unequal: No Solution Exploring Operation: 85+57=142, Resulting Numbers: [142] 142,66 unequal: No Solution Exploring Operation: 85-57=28, Resulting Numbers: [28] 28,66 unequal: No Solution Moving to Node #0,3,1 Current State: 66:[33, 109], Operations: ['61-37=24', '85+24=109'] Exploring Operation: 109-33=76, Resulting Numbers: [76] 76,66 unequal: No Solution Exploring Operation: 33*109=3597, Resulting Numbers: [3597] 3597,66 unequal: No Solution Exploring Operation: 33+109=142, Resulting Numbers: [142] 142,66 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 66:[37, 61, 52], Operations: ['85-33=52'] Exploring Operation: 52-37=15, Resulting Numbers: [61, 15] Generated Node #0,2,0: 66:[61, 15] Operation: 52-37=15 Exploring Operation: 37+61=98, Resulting Numbers: [52, 98] Generated Node #0,2,1: 66:[52, 98] Operation: 37+61=98 Exploring Operation: 37+52=89, Resulting Numbers: [61, 89] Generated Node #0,2,2: 66:[61, 89] Operation: 37+52=89 Exploring Operation: 61-37=24, Resulting Numbers: [52, 24] Generated Node #0,2,3: 66:[52, 24] Operation: 61-37=24 Exploring Operation: 61-52=9, Resulting Numbers: [37, 9] Generated Node #0,2,4: 66:[37, 9] Operation: 61-52=9 Start Sub Search at level 2: Moving to Node #0,2,4 Current State: 66:[37, 9], Operations: ['85-33=52', '61-52=9'] Exploring Operation: 37*9=333, Resulting Numbers: [333] 333,66 unequal: No Solution Exploring Operation: 37+9=46, Resulting Numbers: [46] 46,66 unequal: No Solution Exploring Operation: 37-9=28, Resulting Numbers: [28] 28,66 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 66:[61, 15], Operations: ['85-33=52', '52-37=15'] Exploring Operation: 61+15=76, Resulting Numbers: [76] 76,66 unequal: No Solution Exploring Operation: 61-15=46, Resulting Numbers: [46] 46,66 unequal: No Solution Exploring Operation: 61*15=915, Resulting Numbers: [915] 915,66 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 66:[52, 24], Operations: ['85-33=52', '61-37=24'] Exploring Operation: 52*24=1248, Resulting Numbers: [1248] 1248,66 unequal: No Solution Exploring Operation: 52+24=76, Resulting Numbers: [76] 76,66 unequal: No Solution Exploring Operation: 52-24=28, Resulting Numbers: [28] 28,66 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 66:[61, 89], Operations: ['85-33=52', '37+52=89'] Exploring Operation: 61+89=150, Resulting Numbers: [150] 150,66 unequal: No Solution Exploring Operation: 61*89=5429, Resulting Numbers: [5429] 5429,66 unequal: No Solution Exploring Operation: 89-61=28, Resulting Numbers: [28] 28,66 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 66:[52, 98], Operations: ['85-33=52', '37+61=98'] Exploring Operation: 52*98=5096, Resulting Numbers: [5096] 5096,66 unequal: No Solution Exploring Operation: 98-52=46, Resulting Numbers: [46] 46,66 unequal: No Solution Exploring Operation: 52+98=150, Resulting Numbers: [150] 150,66 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 66:[85, 61, 4], Operations: ['37-33=4'] Exploring Operation: 61-4=57, Resulting Numbers: [85, 57] Generated Node #0,1,0: 66:[85, 57] Operation: 61-4=57 Exploring Operation: 85-61=24, Resulting Numbers: [4, 24] Generated Node #0,1,1: 66:[4, 24] Operation: 85-61=24 Exploring Operation: 85+4=89, Resulting Numbers: [61, 89] Generated Node #0,1,2: 66:[61, 89] Operation: 85+4=89 Exploring Operation: 61+4=65, Resulting Numbers: [85, 65] Generated Node #0,1,3: 66:[85, 65] Operation: 61+4=65 Exploring Operation: 85-4=81, Resulting Numbers: [61, 81] Generated Node #0,1,4: 66:[61, 81] Operation: 85-4=81 Moving to Node #0,1,1 Current State: 66:[4, 24], Operations: ['37-33=4', '85-61=24'] Exploring Operation: 24/4=6, Resulting Numbers: [6] 6,66 unequal: No Solution Exploring Operation: 24-4=20, Resulting Numbers: [20] 20,66 unequal: No Solution Exploring Operation: 4+24=28, Resulting Numbers: [28] 28,66 unequal: No Solution Exploring Operation: 4*24=96, Resulting Numbers: [96] 96,66 unequal: No Solution Moving to Node #0,1,4 Current State: 66:[61, 81], Operations: ['37-33=4', '85-4=81'] Exploring Operation: 61+81=142, Resulting Numbers: [142] 142,66 unequal: No Solution Exploring Operation: 61*81=4941, Resulting Numbers: [4941] 4941,66 unequal: No Solution Exploring Operation: 81-61=20, Resulting Numbers: [20] 20,66 unequal: No Solution Moving to Node #0,1,3 Current State: 66:[85, 65], Operations: ['37-33=4', '61+4=65'] Exploring Operation: 85-65=20, Resulting Numbers: [20] 20,66 unequal: No Solution Exploring Operation: 85*65=5525, Resulting Numbers: [5525] 5525,66 unequal: No Solution Exploring Operation: 85+65=150, Resulting Numbers: [150] 150,66 unequal: No Solution Moving to Node #0,1,0 Current State: 66:[85, 57], Operations: ['37-33=4', '61-4=57'] Exploring Operation: 85-57=28, Resulting Numbers: [28] 28,66 unequal: No Solution Exploring Operation: 85*57=4845, Resulting Numbers: [4845] 4845,66 unequal: No Solution Exploring Operation: 85+57=142, Resulting Numbers: [142] 142,66 unequal: No Solution Moving to Node #0,1,2 Current State: 66:[61, 89], Operations: ['37-33=4', '85+4=89'] Exploring Operation: 61+89=150, Resulting Numbers: [150] 150,66 unequal: No Solution Exploring Operation: 61*89=5429, Resulting Numbers: [5429] 5429,66 unequal: No Solution Exploring Operation: 89-61=28, Resulting Numbers: [28] 28,66 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
sum_heuristic
[ 21, 84, 78, 49 ]
42
[ "21*84=1764", "1764/49=36", "78-36=42" ]
Current State: 42:[21, 84, 78, 49], Operations: [] Exploring Operation: 21*84=1764, Resulting Numbers: [78, 49, 1764] Generated Node #2: [78, 49, 1764] from Operation: 21*84=1764 Current State: 42:[78, 49, 1764], Operations: ['21*84=1764'] Exploring Operation: 1764/49=36, Resulting Numbers: [78, 36] Generated Node #3: [78, 36] from Operation: 1764/49=36 Current State: 42:[78, 36], Operations: ['21*84=1764', '1764/49=36'] Exploring Operation: 78-36=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
Current State: 42:[21, 84, 78, 49], Operations: [] Exploring Operation: 84-49=35, Resulting Numbers: [21, 78, 35] Generated Node #0,0: 42:[21, 78, 35] Operation: 84-49=35 Exploring Operation: 84-78=6, Resulting Numbers: [21, 49, 6] Generated Node #0,1: 42:[21, 49, 6] Operation: 84-78=6 Start Sub Search at level 1: Moving to Node #0,1 Current State: 42:[21, 49, 6], Operations: ['84-78=6'] Exploring Operation: 49-21=28, Resulting Numbers: [6, 28] Generated Node #0,1,0: 42:[6, 28] Operation: 49-21=28 Exploring Operation: 49-6=43, Resulting Numbers: [21, 43] Generated Node #0,1,1: 42:[21, 43] Operation: 49-6=43 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 42:[21, 43], Operations: ['84-78=6', '49-6=43'] Exploring Operation: 43-21=22, Resulting Numbers: [22] 22,42 unequal: No Solution Exploring Operation: 21+43=64, Resulting Numbers: [64] 64,42 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 42:[6, 28], Operations: ['84-78=6', '49-21=28'] Exploring Operation: 6+28=34, Resulting Numbers: [34] 34,42 unequal: No Solution Exploring Operation: 28-6=22, Resulting Numbers: [22] 22,42 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 42:[21, 78, 35], Operations: ['84-49=35'] Exploring Operation: 78-35=43, Resulting Numbers: [21, 43] Generated Node #0,0,0: 42:[21, 43] Operation: 78-35=43 Exploring Operation: 78-21=57, Resulting Numbers: [35, 57] Generated Node #0,0,1: 42:[35, 57] Operation: 78-21=57 Moving to Node #0,0,0 Current State: 42:[21, 43], Operations: ['84-49=35', '78-35=43'] Exploring Operation: 21+43=64, Resulting Numbers: [64] 64,42 unequal: No Solution Exploring Operation: 43-21=22, Resulting Numbers: [22] 22,42 unequal: No Solution Moving to Node #0,0,1 Current State: 42:[35, 57], Operations: ['84-49=35', '78-21=57'] Exploring Operation: 57-35=22, Resulting Numbers: [22] 22,42 unequal: No Solution Exploring Operation: 35+57=92, Resulting Numbers: [92] 92,42 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
sum_heuristic
[ 92, 37, 80, 52 ]
27
[ "92-37=55", "80-52=28", "55-28=27" ]
Current State: 27:[92, 37, 80, 52], Operations: [] Exploring Operation: 92-37=55, Resulting Numbers: [80, 52, 55] Generated Node #2: [80, 52, 55] from Operation: 92-37=55 Current State: 27:[80, 52, 55], Operations: ['92-37=55'] Exploring Operation: 80-52=28, Resulting Numbers: [55, 28] Generated Node #3: [55, 28] from Operation: 80-52=28 Current State: 27:[55, 28], Operations: ['92-37=55', '80-52=28'] Exploring Operation: 55-28=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
Current State: 27:[92, 37, 80, 52], Operations: [] Exploring Operation: 92-52=40, Resulting Numbers: [37, 80, 40] Generated Node #0,0: 27:[37, 80, 40] Operation: 92-52=40 Exploring Operation: 80-52=28, Resulting Numbers: [92, 37, 28] Generated Node #0,1: 27:[92, 37, 28] Operation: 80-52=28 Exploring Operation: 92-37=55, Resulting Numbers: [80, 52, 55] Generated Node #0,2: 27:[80, 52, 55] Operation: 92-37=55 Exploring Operation: 92-80=12, Resulting Numbers: [37, 52, 12] Generated Node #0,3: 27:[37, 52, 12] Operation: 92-80=12 Start Sub Search at level 1: Moving to Node #0,3 Current State: 27:[37, 52, 12], Operations: ['92-80=12'] Exploring Operation: 37+12=49, Resulting Numbers: [52, 49] Generated Node #0,3,0: 27:[52, 49] Operation: 37+12=49 Exploring Operation: 52-37=15, Resulting Numbers: [12, 15] Generated Node #0,3,1: 27:[12, 15] Operation: 52-37=15 Exploring Operation: 52-12=40, Resulting Numbers: [37, 40] Generated Node #0,3,2: 27:[37, 40] Operation: 52-12=40 Exploring Operation: 37-12=25, Resulting Numbers: [52, 25] Generated Node #0,3,3: 27:[52, 25] Operation: 37-12=25 Moving to Node #0,3,1 Current State: 27:[12, 15], Operations: ['92-80=12', '52-37=15'] Exploring Operation: 12+15=27, Resulting Numbers: [27] 27,27 equal: Goal Reached Moving to Node #0 Current State: 27:[92, 37, 80, 52], Operations: [] Exploring Operation: 92-80=12, Resulting Numbers: [37, 52, 12] Generated Node #0,3: 27:[37, 52, 12] Operation: 92-80=12 Moving to Node #0,3 Current State: 27:[37, 52, 12], Operations: ['92-80=12'] Exploring Operation: 52-37=15, Resulting Numbers: [12, 15] Generated Node #0,3,1: 27:[12, 15] Operation: 52-37=15 Moving to Node #0,3,1 Current State: 27:[12, 15], Operations: ['92-80=12', '52-37=15'] Exploring Operation: 12+15=27, Resulting Numbers: [27] 27,27 equal: Goal Reached Exit Sub Search at level 1
0.988715
hs_4
mult_heuristic
[ 23, 2, 8, 75 ]
56
[ "75-23=52", "8/2=4", "52+4=56" ]
Current State: 56:[23, 2, 8, 75], Operations: [] Exploring Operation: 75-23=52, Resulting Numbers: [2, 8, 52] Generated Node #2: [2, 8, 52] from Operation: 75-23=52 Current State: 56:[2, 8, 52], Operations: ['75-23=52'] Exploring Operation: 8/2=4, Resulting Numbers: [52, 4] Generated Node #3: [52, 4] from Operation: 8/2=4 Current State: 56:[52, 4], Operations: ['75-23=52', '8/2=4'] Exploring Operation: 52+4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
Current State: 56:[23, 2, 8, 75], Operations: [] Exploring Operation: 75-8=67, Resulting Numbers: [23, 2, 67] Generated Node #0,0: 56:[23, 2, 67] Operation: 75-8=67 Exploring Operation: 23+2=25, Resulting Numbers: [8, 75, 25] Generated Node #0,1: 56:[8, 75, 25] Operation: 23+2=25 Exploring Operation: 75-23=52, Resulting Numbers: [2, 8, 52] Generated Node #0,2: 56:[2, 8, 52] Operation: 75-23=52 Exploring Operation: 23-8=15, Resulting Numbers: [2, 75, 15] Generated Node #0,3: 56:[2, 75, 15] Operation: 23-8=15 Start Sub Search at level 1: Moving to Node #0,2 Current State: 56:[2, 8, 52], Operations: ['75-23=52'] Exploring Operation: 52/2=26, Resulting Numbers: [8, 26] Generated Node #0,2,0: 56:[8, 26] Operation: 52/2=26 Exploring Operation: 8/2=4, Resulting Numbers: [52, 4] Generated Node #0,2,1: 56:[52, 4] Operation: 8/2=4 Exploring Operation: 2+52=54, Resulting Numbers: [8, 54] Generated Node #0,2,2: 56:[8, 54] Operation: 2+52=54 Exploring Operation: 8+52=60, Resulting Numbers: [2, 60] Generated Node #0,2,3: 56:[2, 60] Operation: 8+52=60 Moving to Node #0,2,0 Current State: 56:[8, 26], Operations: ['75-23=52', '52/2=26'] Exploring Operation: 26-8=18, Resulting Numbers: [18] 18,56 unequal: No Solution Exploring Operation: 8+26=34, Resulting Numbers: [34] 34,56 unequal: No Solution Exploring Operation: 8*26=208, Resulting Numbers: [208] 208,56 unequal: No Solution Moving to Node #0,2,2 Current State: 56:[8, 54], Operations: ['75-23=52', '2+52=54'] Exploring Operation: 8*54=432, Resulting Numbers: [432] 432,56 unequal: No Solution Exploring Operation: 54-8=46, Resulting Numbers: [46] 46,56 unequal: No Solution Exploring Operation: 8+54=62, Resulting Numbers: [62] 62,56 unequal: No Solution Moving to Node #0,2,3 Current State: 56:[2, 60], Operations: ['75-23=52', '8+52=60'] Exploring Operation: 60/2=30, Resulting Numbers: [30] 30,56 unequal: No Solution Exploring Operation: 2+60=62, Resulting Numbers: [62] 62,56 unequal: No Solution Exploring Operation: 2*60=120, Resulting Numbers: [120] 120,56 unequal: No Solution Exploring Operation: 60-2=58, Resulting Numbers: [58] 58,56 unequal: No Solution Moving to Node #0,2,1 Current State: 56:[52, 4], Operations: ['75-23=52', '8/2=4'] Exploring Operation: 52-4=48, Resulting Numbers: [48] 48,56 unequal: No Solution Exploring Operation: 52*4=208, Resulting Numbers: [208] 208,56 unequal: No Solution Exploring Operation: 52/4=13, Resulting Numbers: [13] 13,56 unequal: No Solution Exploring Operation: 52+4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached Moving to Node #0 Current State: 56:[23, 2, 8, 75], Operations: [] Exploring Operation: 75-23=52, Resulting Numbers: [2, 8, 52] Generated Node #0,2: 56:[2, 8, 52] Operation: 75-23=52 Moving to Node #0,2 Current State: 56:[2, 8, 52], Operations: ['75-23=52'] Exploring Operation: 8/2=4, Resulting Numbers: [52, 4] Generated Node #0,2,1: 56:[52, 4] Operation: 8/2=4 Moving to Node #0,2,1 Current State: 56:[52, 4], Operations: ['75-23=52', '8/2=4'] Exploring Operation: 52+4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached Exit Sub Search at level 1
0.977431
hs_4
sum_heuristic
[ 32, 82, 21, 56 ]
27
[ "82-32=50", "21+56=77", "77-50=27" ]
Current State: 27:[32, 82, 21, 56], Operations: [] Exploring Operation: 82-32=50, Resulting Numbers: [21, 56, 50] Generated Node #2: [21, 56, 50] from Operation: 82-32=50 Current State: 27:[21, 56, 50], Operations: ['82-32=50'] Exploring Operation: 21+56=77, Resulting Numbers: [50, 77] Generated Node #3: [50, 77] from Operation: 21+56=77 Current State: 27:[50, 77], Operations: ['82-32=50', '21+56=77'] Exploring Operation: 77-50=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
Current State: 27:[32, 82, 21, 56], Operations: [] Exploring Operation: 82-32=50, Resulting Numbers: [21, 56, 50] Generated Node #0,0: 27:[21, 56, 50] Operation: 82-32=50 Exploring Operation: 82-56=26, Resulting Numbers: [32, 21, 26] Generated Node #0,1: 27:[32, 21, 26] Operation: 82-56=26 Moving to Node #0,1 Current State: 27:[32, 21, 26], Operations: ['82-56=26'] Exploring Operation: 26-21=5, Resulting Numbers: [32, 5] Generated Node #0,1,0: 27:[32, 5] Operation: 26-21=5 Exploring Operation: 32-21=11, Resulting Numbers: [26, 11] Generated Node #0,1,1: 27:[26, 11] Operation: 32-21=11 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 27:[26, 11], Operations: ['82-56=26', '32-21=11'] Exploring Operation: 26-11=15, Resulting Numbers: [15] 15,27 unequal: No Solution Exploring Operation: 26+11=37, Resulting Numbers: [37] 37,27 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 27:[32, 5], Operations: ['82-56=26', '26-21=5'] Exploring Operation: 32-5=27, Resulting Numbers: [27] 27,27 equal: Goal Reached Moving to Node #0 Current State: 27:[32, 82, 21, 56], Operations: [] Exploring Operation: 82-56=26, Resulting Numbers: [32, 21, 26] Generated Node #0,1: 27:[32, 21, 26] Operation: 82-56=26 Moving to Node #0,1 Current State: 27:[32, 21, 26], Operations: ['82-56=26'] Exploring Operation: 26-21=5, Resulting Numbers: [32, 5] Generated Node #0,1,0: 27:[32, 5] Operation: 26-21=5 Moving to Node #0,1,0 Current State: 27:[32, 5], Operations: ['82-56=26', '26-21=5'] Exploring Operation: 32-5=27, Resulting Numbers: [27] 27,27 equal: Goal Reached Exit Sub Search at level 1
0.990451
hs_2
sum_heuristic
[ 3, 65, 24, 31 ]
61
[ "3+65=68", "31-24=7", "68-7=61" ]
Current State: 61:[3, 65, 24, 31], Operations: [] Exploring Operation: 3+65=68, Resulting Numbers: [24, 31, 68] Generated Node #2: [24, 31, 68] from Operation: 3+65=68 Current State: 61:[24, 31, 68], Operations: ['3+65=68'] Exploring Operation: 31-24=7, Resulting Numbers: [68, 7] Generated Node #3: [68, 7] from Operation: 31-24=7 Current State: 61:[68, 7], Operations: ['3+65=68', '31-24=7'] Exploring Operation: 68-7=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
Current State: 61:[3, 65, 24, 31], Operations: [] Exploring Operation: 65-3=62, Resulting Numbers: [24, 31, 62] Generated Node #0,0: 61:[24, 31, 62] Operation: 65-3=62 Exploring Operation: 3+24=27, Resulting Numbers: [65, 31, 27] Generated Node #0,1: 61:[65, 31, 27] Operation: 3+24=27 Exploring Operation: 3*24=72, Resulting Numbers: [65, 31, 72] Generated Node #0,2: 61:[65, 31, 72] Operation: 3*24=72 Exploring Operation: 3+31=34, Resulting Numbers: [65, 24, 34] Generated Node #0,3: 61:[65, 24, 34] Operation: 3+31=34 Moving to Node #0,2 Current State: 61:[65, 31, 72], Operations: ['3*24=72'] Exploring Operation: 65-31=34, Resulting Numbers: [72, 34] Generated Node #0,2,0: 61:[72, 34] Operation: 65-31=34 Exploring Operation: 72-31=41, Resulting Numbers: [65, 41] Generated Node #0,2,1: 61:[65, 41] Operation: 72-31=41 Exploring Operation: 31+72=103, Resulting Numbers: [65, 103] Generated Node #0,2,2: 61:[65, 103] Operation: 31+72=103 Exploring Operation: 65+31=96, Resulting Numbers: [72, 96] Generated Node #0,2,3: 61:[72, 96] Operation: 65+31=96 Moving to Node #0,1 Current State: 61:[65, 31, 27], Operations: ['3+24=27'] Exploring Operation: 31+27=58, Resulting Numbers: [65, 58] Generated Node #0,1,0: 61:[65, 58] Operation: 31+27=58 Exploring Operation: 65-31=34, Resulting Numbers: [27, 34] Generated Node #0,1,1: 61:[27, 34] Operation: 65-31=34 Exploring Operation: 65-27=38, Resulting Numbers: [31, 38] Generated Node #0,1,2: 61:[31, 38] Operation: 65-27=38 Exploring Operation: 65+27=92, Resulting Numbers: [31, 92] Generated Node #0,1,3: 61:[31, 92] Operation: 65+27=92 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 61:[65, 58], Operations: ['3+24=27', '31+27=58'] Exploring Operation: 65-58=7, Resulting Numbers: [7] 7,61 unequal: No Solution Exploring Operation: 65+58=123, Resulting Numbers: [123] 123,61 unequal: No Solution Exploring Operation: 65*58=3770, Resulting Numbers: [3770] 3770,61 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 61:[31, 38], Operations: ['3+24=27', '65-27=38'] Exploring Operation: 31+38=69, Resulting Numbers: [69] 69,61 unequal: No Solution Exploring Operation: 38-31=7, Resulting Numbers: [7] 7,61 unequal: No Solution Exploring Operation: 31*38=1178, Resulting Numbers: [1178] 1178,61 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 61:[27, 34], Operations: ['3+24=27', '65-31=34'] Exploring Operation: 34-27=7, Resulting Numbers: [7] 7,61 unequal: No Solution Exploring Operation: 27+34=61, Resulting Numbers: [61] 61,61 equal: Goal Reached Moving to Node #0 Current State: 61:[3, 65, 24, 31], Operations: [] Exploring Operation: 3+24=27, Resulting Numbers: [65, 31, 27] Generated Node #0,1: 61:[65, 31, 27] Operation: 3+24=27 Moving to Node #0,1 Current State: 61:[65, 31, 27], Operations: ['3+24=27'] Exploring Operation: 65-31=34, Resulting Numbers: [27, 34] Generated Node #0,1,1: 61:[27, 34] Operation: 65-31=34 Moving to Node #0,1,1 Current State: 61:[27, 34], Operations: ['3+24=27', '65-31=34'] Exploring Operation: 27+34=61, Resulting Numbers: [61] 61,61 equal: Goal Reached Exit Sub Search at level 1
0.979167
hs_4
sum_heuristic
[ 47, 37, 94, 68 ]
71
[ "94/47=2", "68/2=34", "37+34=71" ]
Current State: 71:[47, 37, 94, 68], Operations: [] Exploring Operation: 94/47=2, Resulting Numbers: [37, 68, 2] Generated Node #2: [37, 68, 2] from Operation: 94/47=2 Current State: 71:[37, 68, 2], Operations: ['94/47=2'] Exploring Operation: 68/2=34, Resulting Numbers: [37, 34] Generated Node #3: [37, 34] from Operation: 68/2=34 Current State: 71:[37, 34], Operations: ['94/47=2', '68/2=34'] Exploring Operation: 37+34=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
Current State: 71:[47, 37, 94, 68], Operations: [] Exploring Operation: 47+37=84, Resulting Numbers: [94, 68, 84] Generated Node #0,0: 71:[94, 68, 84] Operation: 47+37=84 Moving to Node #0,0 Current State: 71:[94, 68, 84], Operations: ['47+37=84'] Exploring Operation: 94-68=26, Resulting Numbers: [84, 26] Generated Node #0,0,0: 71:[84, 26] Operation: 94-68=26 Moving to Node #0,0,0 Current State: 71:[84, 26], Operations: ['47+37=84', '94-68=26'] Exploring Operation: 84-26=58, Resulting Numbers: [58] 58,71 unequal: No Solution No solution found.
0
hs_1
sum_heuristic
[ 46, 63, 20, 68 ]
54
[ "68-63=5", "20*5=100", "100-46=54" ]
Current State: 54:[46, 63, 20, 68], Operations: [] Exploring Operation: 68-63=5, Resulting Numbers: [46, 20, 5] Generated Node #2: [46, 20, 5] from Operation: 68-63=5 Current State: 54:[46, 20, 5], Operations: ['68-63=5'] Exploring Operation: 20*5=100, Resulting Numbers: [46, 100] Generated Node #3: [46, 100] from Operation: 20*5=100 Current State: 54:[46, 100], Operations: ['68-63=5', '20*5=100'] Exploring Operation: 100-46=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
Current State: 54:[46, 63, 20, 68], Operations: [] Exploring Operation: 68-20=48, Resulting Numbers: [46, 63, 48] Generated Node #0,0: 54:[46, 63, 48] Operation: 68-20=48 Exploring Operation: 68-63=5, Resulting Numbers: [46, 20, 5] Generated Node #0,1: 54:[46, 20, 5] Operation: 68-63=5 Exploring Operation: 63-46=17, Resulting Numbers: [20, 68, 17] Generated Node #0,2: 54:[20, 68, 17] Operation: 63-46=17 Exploring Operation: 68-46=22, Resulting Numbers: [63, 20, 22] Generated Node #0,3: 54:[63, 20, 22] Operation: 68-46=22 Moving to Node #0,1 Current State: 54:[46, 20, 5], Operations: ['68-63=5'] Exploring Operation: 46+5=51, Resulting Numbers: [20, 51] Generated Node #0,1,0: 54:[20, 51] Operation: 46+5=51 Exploring Operation: 46-20=26, Resulting Numbers: [5, 26] Generated Node #0,1,1: 54:[5, 26] Operation: 46-20=26 Exploring Operation: 20/5=4, Resulting Numbers: [46, 4] Generated Node #0,1,2: 54:[46, 4] Operation: 20/5=4 Exploring Operation: 20+5=25, Resulting Numbers: [46, 25] Generated Node #0,1,3: 54:[46, 25] Operation: 20+5=25 Moving to Node #0,3 Current State: 54:[63, 20, 22], Operations: ['68-46=22'] Exploring Operation: 63-20=43, Resulting Numbers: [22, 43] Generated Node #0,3,0: 54:[22, 43] Operation: 63-20=43 Exploring Operation: 22-20=2, Resulting Numbers: [63, 2] Generated Node #0,3,1: 54:[63, 2] Operation: 22-20=2 Exploring Operation: 20+22=42, Resulting Numbers: [63, 42] Generated Node #0,3,2: 54:[63, 42] Operation: 20+22=42 Exploring Operation: 63-22=41, Resulting Numbers: [20, 41] Generated Node #0,3,3: 54:[20, 41] Operation: 63-22=41 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 54:[63, 2], Operations: ['68-46=22', '22-20=2'] Exploring Operation: 63*2=126, Resulting Numbers: [126] 126,54 unequal: No Solution Exploring Operation: 63+2=65, Resulting Numbers: [65] 65,54 unequal: No Solution Exploring Operation: 63-2=61, Resulting Numbers: [61] 61,54 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 54:[22, 43], Operations: ['68-46=22', '63-20=43'] Exploring Operation: 22+43=65, Resulting Numbers: [65] 65,54 unequal: No Solution Exploring Operation: 43-22=21, Resulting Numbers: [21] 21,54 unequal: No Solution Exploring Operation: 22*43=946, Resulting Numbers: [946] 946,54 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 54:[20, 41], Operations: ['68-46=22', '63-22=41'] Exploring Operation: 41-20=21, Resulting Numbers: [21] 21,54 unequal: No Solution Exploring Operation: 20*41=820, Resulting Numbers: [820] 820,54 unequal: No Solution Exploring Operation: 20+41=61, Resulting Numbers: [61] 61,54 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 54:[63, 42], Operations: ['68-46=22', '20+22=42'] Exploring Operation: 63*42=2646, Resulting Numbers: [2646] 2646,54 unequal: No Solution Exploring Operation: 63-42=21, Resulting Numbers: [21] 21,54 unequal: No Solution Exploring Operation: 63+42=105, Resulting Numbers: [105] 105,54 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 54:[20, 68, 17], Operations: ['63-46=17'] Exploring Operation: 68-20=48, Resulting Numbers: [17, 48] Generated Node #0,2,0: 54:[17, 48] Operation: 68-20=48 Exploring Operation: 68-17=51, Resulting Numbers: [20, 51] Generated Node #0,2,1: 54:[20, 51] Operation: 68-17=51 Exploring Operation: 20-17=3, Resulting Numbers: [68, 3] Generated Node #0,2,2: 54:[68, 3] Operation: 20-17=3 Exploring Operation: 68/17=4, Resulting Numbers: [20, 4] Generated Node #0,2,3: 54:[20, 4] Operation: 68/17=4 Moving to Node #0,0 Current State: 54:[46, 63, 48], Operations: ['68-20=48'] Exploring Operation: 63-46=17, Resulting Numbers: [48, 17] Generated Node #0,0,0: 54:[48, 17] Operation: 63-46=17 Exploring Operation: 48-46=2, Resulting Numbers: [63, 2] Generated Node #0,0,1: 54:[63, 2] Operation: 48-46=2 Exploring Operation: 46+48=94, Resulting Numbers: [63, 94] Generated Node #0,0,2: 54:[63, 94] Operation: 46+48=94 Exploring Operation: 63-48=15, Resulting Numbers: [46, 15] Generated Node #0,0,3: 54:[46, 15] Operation: 63-48=15 Moving to Node #0,1,1 Current State: 54:[5, 26], Operations: ['68-63=5', '46-20=26'] Exploring Operation: 26-5=21, Resulting Numbers: [21] 21,54 unequal: No Solution Exploring Operation: 5*26=130, Resulting Numbers: [130] 130,54 unequal: No Solution Exploring Operation: 5+26=31, Resulting Numbers: [31] 31,54 unequal: No Solution Moving to Node #0,2,3 Current State: 54:[20, 4], Operations: ['63-46=17', '68/17=4'] Exploring Operation: 20/4=5, Resulting Numbers: [5] 5,54 unequal: No Solution Exploring Operation: 20-4=16, Resulting Numbers: [16] 16,54 unequal: No Solution Exploring Operation: 20+4=24, Resulting Numbers: [24] 24,54 unequal: No Solution Exploring Operation: 20*4=80, Resulting Numbers: [80] 80,54 unequal: No Solution Moving to Node #0,2,1 Current State: 54:[20, 51], Operations: ['63-46=17', '68-17=51'] Exploring Operation: 20+51=71, Resulting Numbers: [71] 71,54 unequal: No Solution Exploring Operation: 51-20=31, Resulting Numbers: [31] 31,54 unequal: No Solution Exploring Operation: 20*51=1020, Resulting Numbers: [1020] 1020,54 unequal: No Solution Moving to Node #0,1,0 Current State: 54:[20, 51], Operations: ['68-63=5', '46+5=51'] Exploring Operation: 20*51=1020, Resulting Numbers: [1020] 1020,54 unequal: No Solution Exploring Operation: 51-20=31, Resulting Numbers: [31] 31,54 unequal: No Solution Exploring Operation: 20+51=71, Resulting Numbers: [71] 71,54 unequal: No Solution Moving to Node #0,2,0 Current State: 54:[17, 48], Operations: ['63-46=17', '68-20=48'] Exploring Operation: 17*48=816, Resulting Numbers: [816] 816,54 unequal: No Solution Exploring Operation: 17+48=65, Resulting Numbers: [65] 65,54 unequal: No Solution Exploring Operation: 48-17=31, Resulting Numbers: [31] 31,54 unequal: No Solution Moving to Node #0,0,0 Current State: 54:[48, 17], Operations: ['68-20=48', '63-46=17'] Exploring Operation: 48+17=65, Resulting Numbers: [65] 65,54 unequal: No Solution Exploring Operation: 48-17=31, Resulting Numbers: [31] 31,54 unequal: No Solution Exploring Operation: 48*17=816, Resulting Numbers: [816] 816,54 unequal: No Solution Moving to Node #0,1,2 Current State: 54:[46, 4], Operations: ['68-63=5', '20/5=4'] Exploring Operation: 46*4=184, Resulting Numbers: [184] 184,54 unequal: No Solution Exploring Operation: 46-4=42, Resulting Numbers: [42] 42,54 unequal: No Solution Exploring Operation: 46+4=50, Resulting Numbers: [50] 50,54 unequal: No Solution Moving to Node #0,0,1 Current State: 54:[63, 2], Operations: ['68-20=48', '48-46=2'] Exploring Operation: 63+2=65, Resulting Numbers: [65] 65,54 unequal: No Solution Exploring Operation: 63-2=61, Resulting Numbers: [61] 61,54 unequal: No Solution Exploring Operation: 63*2=126, Resulting Numbers: [126] 126,54 unequal: No Solution Moving to Node #0,1,3 Current State: 54:[46, 25], Operations: ['68-63=5', '20+5=25'] Exploring Operation: 46-25=21, Resulting Numbers: [21] 21,54 unequal: No Solution Exploring Operation: 46*25=1150, Resulting Numbers: [1150] 1150,54 unequal: No Solution Exploring Operation: 46+25=71, Resulting Numbers: [71] 71,54 unequal: No Solution Moving to Node #0,0,3 Current State: 54:[46, 15], Operations: ['68-20=48', '63-48=15'] Exploring Operation: 46-15=31, Resulting Numbers: [31] 31,54 unequal: No Solution Exploring Operation: 46*15=690, Resulting Numbers: [690] 690,54 unequal: No Solution Exploring Operation: 46+15=61, Resulting Numbers: [61] 61,54 unequal: No Solution Moving to Node #0,2,2 Current State: 54:[68, 3], Operations: ['63-46=17', '20-17=3'] Exploring Operation: 68-3=65, Resulting Numbers: [65] 65,54 unequal: No Solution Exploring Operation: 68*3=204, Resulting Numbers: [204] 204,54 unequal: No Solution Exploring Operation: 68+3=71, Resulting Numbers: [71] 71,54 unequal: No Solution Moving to Node #0,0,2 Current State: 54:[63, 94], Operations: ['68-20=48', '46+48=94'] Exploring Operation: 63+94=157, Resulting Numbers: [157] 157,54 unequal: No Solution Exploring Operation: 94-63=31, Resulting Numbers: [31] 31,54 unequal: No Solution Exploring Operation: 63*94=5922, Resulting Numbers: [5922] 5922,54 unequal: No Solution No solution found.
0
hs_4
sum_heuristic
[ 53, 64, 3, 6 ]
99
[ "53+64=117", "3*6=18", "117-18=99" ]
Current State: 99:[53, 64, 3, 6], Operations: [] Exploring Operation: 53+64=117, Resulting Numbers: [3, 6, 117] Generated Node #2: [3, 6, 117] from Operation: 53+64=117 Current State: 99:[3, 6, 117], Operations: ['53+64=117'] Exploring Operation: 3*6=18, Resulting Numbers: [117, 18] Generated Node #3: [117, 18] from Operation: 3*6=18 Current State: 99:[117, 18], Operations: ['53+64=117', '3*6=18'] Exploring Operation: 117-18=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
Current State: 99:[53, 64, 3, 6], Operations: [] Exploring Operation: 53+64=117, Resulting Numbers: [3, 6, 117] Generated Node #0,0: 99:[3, 6, 117] Operation: 53+64=117 Exploring Operation: 64-53=11, Resulting Numbers: [3, 6, 11] Generated Node #0,1: 99:[3, 6, 11] Operation: 64-53=11 Exploring Operation: 64-6=58, Resulting Numbers: [53, 3, 58] Generated Node #0,2: 99:[53, 3, 58] Operation: 64-6=58 Exploring Operation: 53-6=47, Resulting Numbers: [64, 3, 47] Generated Node #0,3: 99:[64, 3, 47] Operation: 53-6=47 Moving to Node #0,1 Current State: 99:[3, 6, 11], Operations: ['64-53=11'] Exploring Operation: 11-6=5, Resulting Numbers: [3, 5] Generated Node #0,1,0: 99:[3, 5] Operation: 11-6=5 Exploring Operation: 6-3=3, Resulting Numbers: [11, 3] Generated Node #0,1,1: 99:[11, 3] Operation: 6-3=3 Exploring Operation: 6/3=2, Resulting Numbers: [11, 2] Generated Node #0,1,2: 99:[11, 2] Operation: 6/3=2 Exploring Operation: 3+6=9, Resulting Numbers: [11, 9] Generated Node #0,1,3: 99:[11, 9] Operation: 3+6=9 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 99:[11, 3], Operations: ['64-53=11', '6-3=3'] Exploring Operation: 11+3=14, Resulting Numbers: [14] 14,99 unequal: No Solution Exploring Operation: 11-3=8, Resulting Numbers: [8] 8,99 unequal: No Solution Exploring Operation: 11*3=33, Resulting Numbers: [33] 33,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 99:[11, 9], Operations: ['64-53=11', '3+6=9'] Exploring Operation: 11-9=2, Resulting Numbers: [2] 2,99 unequal: No Solution Exploring Operation: 11*9=99, Resulting Numbers: [99] 99,99 equal: Goal Reached Moving to Node #0 Current State: 99:[53, 64, 3, 6], Operations: [] Exploring Operation: 64-53=11, Resulting Numbers: [3, 6, 11] Generated Node #0,1: 99:[3, 6, 11] Operation: 64-53=11 Moving to Node #0,1 Current State: 99:[3, 6, 11], Operations: ['64-53=11'] Exploring Operation: 3+6=9, Resulting Numbers: [11, 9] Generated Node #0,1,3: 99:[11, 9] Operation: 3+6=9 Moving to Node #0,1,3 Current State: 99:[11, 9], Operations: ['64-53=11', '3+6=9'] Exploring Operation: 11*9=99, Resulting Numbers: [99] 99,99 equal: Goal Reached Exit Sub Search at level 1
0.985243
hs_4
mult_heuristic
[ 14, 58, 30, 6 ]
87
[ "14+6=20", "58*30=1740", "1740/20=87" ]
Current State: 87:[14, 58, 30, 6], Operations: [] Exploring Operation: 14+6=20, Resulting Numbers: [58, 30, 20] Generated Node #2: [58, 30, 20] from Operation: 14+6=20 Current State: 87:[58, 30, 20], Operations: ['14+6=20'] Exploring Operation: 58*30=1740, Resulting Numbers: [20, 1740] Generated Node #3: [20, 1740] from Operation: 58*30=1740 Current State: 87:[20, 1740], Operations: ['14+6=20', '58*30=1740'] Exploring Operation: 1740/20=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
Current State: 87:[14, 58, 30, 6], Operations: [] Exploring Operation: 58+30=88, Resulting Numbers: [14, 6, 88] Generated Node #0,0: 87:[14, 6, 88] Operation: 58+30=88 Exploring Operation: 58-14=44, Resulting Numbers: [30, 6, 44] Generated Node #0,1: 87:[30, 6, 44] Operation: 58-14=44 Exploring Operation: 58-30=28, Resulting Numbers: [14, 6, 28] Generated Node #0,2: 87:[14, 6, 28] Operation: 58-30=28 Exploring Operation: 14+58=72, Resulting Numbers: [30, 6, 72] Generated Node #0,3: 87:[30, 6, 72] Operation: 14+58=72 Moving to Node #0,0 Current State: 87:[14, 6, 88], Operations: ['58+30=88'] Exploring Operation: 14+6=20, Resulting Numbers: [88, 20] Generated Node #0,0,0: 87:[88, 20] Operation: 14+6=20 Exploring Operation: 88-14=74, Resulting Numbers: [6, 74] Generated Node #0,0,1: 87:[6, 74] Operation: 88-14=74 Exploring Operation: 14-6=8, Resulting Numbers: [88, 8] Generated Node #0,0,2: 87:[88, 8] Operation: 14-6=8 Exploring Operation: 14*6=84, Resulting Numbers: [88, 84] Generated Node #0,0,3: 87:[88, 84] Operation: 14*6=84 Moving to Node #0,2 Current State: 87:[14, 6, 28], Operations: ['58-30=28'] Exploring Operation: 28/14=2, Resulting Numbers: [6, 2] Generated Node #0,2,0: 87:[6, 2] Operation: 28/14=2 Exploring Operation: 14-6=8, Resulting Numbers: [28, 8] Generated Node #0,2,1: 87:[28, 8] Operation: 14-6=8 Exploring Operation: 14*6=84, Resulting Numbers: [28, 84] Generated Node #0,2,2: 87:[28, 84] Operation: 14*6=84 Exploring Operation: 14+6=20, Resulting Numbers: [28, 20] Generated Node #0,2,3: 87:[28, 20] Operation: 14+6=20 Moving to Node #0,3 Current State: 87:[30, 6, 72], Operations: ['14+58=72'] Exploring Operation: 72-30=42, Resulting Numbers: [6, 42] Generated Node #0,3,0: 87:[6, 42] Operation: 72-30=42 Exploring Operation: 72/6=12, Resulting Numbers: [30, 12] Generated Node #0,3,1: 87:[30, 12] Operation: 72/6=12 Exploring Operation: 6+72=78, Resulting Numbers: [30, 78] Generated Node #0,3,2: 87:[30, 78] Operation: 6+72=78 Exploring Operation: 30/6=5, Resulting Numbers: [72, 5] Generated Node #0,3,3: 87:[72, 5] Operation: 30/6=5 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 87:[30, 12], Operations: ['14+58=72', '72/6=12'] Exploring Operation: 30-12=18, Resulting Numbers: [18] 18,87 unequal: No Solution Exploring Operation: 30*12=360, Resulting Numbers: [360] 360,87 unequal: No Solution Exploring Operation: 30+12=42, Resulting Numbers: [42] 42,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 87:[30, 78], Operations: ['14+58=72', '6+72=78'] Exploring Operation: 30+78=108, Resulting Numbers: [108] 108,87 unequal: No Solution Exploring Operation: 30*78=2340, Resulting Numbers: [2340] 2340,87 unequal: No Solution Exploring Operation: 78-30=48, Resulting Numbers: [48] 48,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 87:[6, 42], Operations: ['14+58=72', '72-30=42'] Exploring Operation: 42/6=7, Resulting Numbers: [7] 7,87 unequal: No Solution Exploring Operation: 6+42=48, Resulting Numbers: [48] 48,87 unequal: No Solution Exploring Operation: 42-6=36, Resulting Numbers: [36] 36,87 unequal: No Solution Exploring Operation: 6*42=252, Resulting Numbers: [252] 252,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 87:[72, 5], Operations: ['14+58=72', '30/6=5'] Exploring Operation: 72-5=67, Resulting Numbers: [67] 67,87 unequal: No Solution Exploring Operation: 72+5=77, Resulting Numbers: [77] 77,87 unequal: No Solution Exploring Operation: 72*5=360, Resulting Numbers: [360] 360,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 87:[30, 6, 44], Operations: ['58-14=44'] Exploring Operation: 44-30=14, Resulting Numbers: [6, 14] Generated Node #0,1,0: 87:[6, 14] Operation: 44-30=14 Exploring Operation: 30+44=74, Resulting Numbers: [6, 74] Generated Node #0,1,1: 87:[6, 74] Operation: 30+44=74 Exploring Operation: 44-6=38, Resulting Numbers: [30, 38] Generated Node #0,1,2: 87:[30, 38] Operation: 44-6=38 Exploring Operation: 30/6=5, Resulting Numbers: [44, 5] Generated Node #0,1,3: 87:[44, 5] Operation: 30/6=5 Moving to Node #0,0,3 Current State: 87:[88, 84], Operations: ['58+30=88', '14*6=84'] Exploring Operation: 88-84=4, Resulting Numbers: [4] 4,87 unequal: No Solution Exploring Operation: 88*84=7392, Resulting Numbers: [7392] 7392,87 unequal: No Solution Exploring Operation: 88+84=172, Resulting Numbers: [172] 172,87 unequal: No Solution Moving to Node #0,2,2 Current State: 87:[28, 84], Operations: ['58-30=28', '14*6=84'] Exploring Operation: 28+84=112, Resulting Numbers: [112] 112,87 unequal: No Solution Exploring Operation: 28*84=2352, Resulting Numbers: [2352] 2352,87 unequal: No Solution Exploring Operation: 84/28=3, Resulting Numbers: [3] 3,87 unequal: No Solution Exploring Operation: 84-28=56, Resulting Numbers: [56] 56,87 unequal: No Solution Moving to Node #0,2,0 Current State: 87:[6, 2], Operations: ['58-30=28', '28/14=2'] Exploring Operation: 6*2=12, Resulting Numbers: [12] 12,87 unequal: No Solution Exploring Operation: 6+2=8, Resulting Numbers: [8] 8,87 unequal: No Solution Exploring Operation: 6/2=3, Resulting Numbers: [3] 3,87 unequal: No Solution Exploring Operation: 6-2=4, Resulting Numbers: [4] 4,87 unequal: No Solution Moving to Node #0,2,1 Current State: 87:[28, 8], Operations: ['58-30=28', '14-6=8'] Exploring Operation: 28*8=224, Resulting Numbers: [224] 224,87 unequal: No Solution Exploring Operation: 28-8=20, Resulting Numbers: [20] 20,87 unequal: No Solution Exploring Operation: 28+8=36, Resulting Numbers: [36] 36,87 unequal: No Solution Moving to Node #0,0,2 Current State: 87:[88, 8], Operations: ['58+30=88', '14-6=8'] Exploring Operation: 88+8=96, Resulting Numbers: [96] 96,87 unequal: No Solution Exploring Operation: 88/8=11, Resulting Numbers: [11] 11,87 unequal: No Solution Exploring Operation: 88*8=704, Resulting Numbers: [704] 704,87 unequal: No Solution Exploring Operation: 88-8=80, Resulting Numbers: [80] 80,87 unequal: No Solution Moving to Node #0,0,0 Current State: 87:[88, 20], Operations: ['58+30=88', '14+6=20'] Exploring Operation: 88*20=1760, Resulting Numbers: [1760] 1760,87 unequal: No Solution Exploring Operation: 88-20=68, Resulting Numbers: [68] 68,87 unequal: No Solution Exploring Operation: 88+20=108, Resulting Numbers: [108] 108,87 unequal: No Solution Moving to Node #0,2,3 Current State: 87:[28, 20], Operations: ['58-30=28', '14+6=20'] Exploring Operation: 28*20=560, Resulting Numbers: [560] 560,87 unequal: No Solution Exploring Operation: 28-20=8, Resulting Numbers: [8] 8,87 unequal: No Solution Exploring Operation: 28+20=48, Resulting Numbers: [48] 48,87 unequal: No Solution Moving to Node #0,1,2 Current State: 87:[30, 38], Operations: ['58-14=44', '44-6=38'] Exploring Operation: 38-30=8, Resulting Numbers: [8] 8,87 unequal: No Solution Exploring Operation: 30*38=1140, Resulting Numbers: [1140] 1140,87 unequal: No Solution Exploring Operation: 30+38=68, Resulting Numbers: [68] 68,87 unequal: No Solution Moving to Node #0,1,0 Current State: 87:[6, 14], Operations: ['58-14=44', '44-30=14'] Exploring Operation: 6+14=20, Resulting Numbers: [20] 20,87 unequal: No Solution Exploring Operation: 14-6=8, Resulting Numbers: [8] 8,87 unequal: No Solution Exploring Operation: 6*14=84, Resulting Numbers: [84] 84,87 unequal: No Solution Moving to Node #0,1,1 Current State: 87:[6, 74], Operations: ['58-14=44', '30+44=74'] Exploring Operation: 74-6=68, Resulting Numbers: [68] 68,87 unequal: No Solution Exploring Operation: 6*74=444, Resulting Numbers: [444] 444,87 unequal: No Solution Exploring Operation: 6+74=80, Resulting Numbers: [80] 80,87 unequal: No Solution Moving to Node #0,0,1 Current State: 87:[6, 74], Operations: ['58+30=88', '88-14=74'] Exploring Operation: 74-6=68, Resulting Numbers: [68] 68,87 unequal: No Solution Exploring Operation: 6+74=80, Resulting Numbers: [80] 80,87 unequal: No Solution Exploring Operation: 6*74=444, Resulting Numbers: [444] 444,87 unequal: No Solution Moving to Node #0,1,3 Current State: 87:[44, 5], Operations: ['58-14=44', '30/6=5'] Exploring Operation: 44+5=49, Resulting Numbers: [49] 49,87 unequal: No Solution Exploring Operation: 44*5=220, Resulting Numbers: [220] 220,87 unequal: No Solution Exploring Operation: 44-5=39, Resulting Numbers: [39] 39,87 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 9, 66, 16, 17 ]
64
[ "17-9=8", "16/8=2", "66-2=64" ]
Current State: 64:[9, 66, 16, 17], Operations: [] Exploring Operation: 17-9=8, Resulting Numbers: [66, 16, 8] Generated Node #2: [66, 16, 8] from Operation: 17-9=8 Current State: 64:[66, 16, 8], Operations: ['17-9=8'] Exploring Operation: 16/8=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 16/8=2 Current State: 64:[66, 2], Operations: ['17-9=8', '16/8=2'] Exploring Operation: 66-2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
Current State: 64:[9, 66, 16, 17], Operations: [] Exploring Operation: 16+17=33, Resulting Numbers: [9, 66, 33] Generated Node #0,0: 64:[9, 66, 33] Operation: 16+17=33 Exploring Operation: 17-9=8, Resulting Numbers: [66, 16, 8] Generated Node #0,1: 64:[66, 16, 8] Operation: 17-9=8 Exploring Operation: 16-9=7, Resulting Numbers: [66, 17, 7] Generated Node #0,2: 64:[66, 17, 7] Operation: 16-9=7 Moving to Node #0,1 Current State: 64:[66, 16, 8], Operations: ['17-9=8'] Exploring Operation: 66-8=58, Resulting Numbers: [16, 58] Generated Node #0,1,0: 64:[16, 58] Operation: 66-8=58 Exploring Operation: 16-8=8, Resulting Numbers: [66, 8] Generated Node #0,1,1: 64:[66, 8] Operation: 16-8=8 Exploring Operation: 16/8=2, Resulting Numbers: [66, 2] Generated Node #0,1,2: 64:[66, 2] Operation: 16/8=2 Moving to Node #0,0 Current State: 64:[9, 66, 33], Operations: ['16+17=33'] Exploring Operation: 66-9=57, Resulting Numbers: [33, 57] Generated Node #0,0,0: 64:[33, 57] Operation: 66-9=57 Exploring Operation: 66-33=33, Resulting Numbers: [9, 33] Generated Node #0,0,1: 64:[9, 33] Operation: 66-33=33 Exploring Operation: 66/33=2, Resulting Numbers: [9, 2] Generated Node #0,0,2: 64:[9, 2] Operation: 66/33=2 Moving to Node #0,2 Current State: 64:[66, 17, 7], Operations: ['16-9=7'] Exploring Operation: 66+7=73, Resulting Numbers: [17, 73] Generated Node #0,2,0: 64:[17, 73] Operation: 66+7=73 Exploring Operation: 17-7=10, Resulting Numbers: [66, 10] Generated Node #0,2,1: 64:[66, 10] Operation: 17-7=10 Exploring Operation: 66-7=59, Resulting Numbers: [17, 59] Generated Node #0,2,2: 64:[17, 59] Operation: 66-7=59 Moving to Node #0,0,2 Current State: 64:[9, 2], Operations: ['16+17=33', '66/33=2'] Exploring Operation: 9*2=18, Resulting Numbers: [18] 18,64 unequal: No Solution Exploring Operation: 9+2=11, Resulting Numbers: [11] 11,64 unequal: No Solution Exploring Operation: 9-2=7, Resulting Numbers: [7] 7,64 unequal: No Solution Moving to Node #0,1,1 Current State: 64:[66, 8], Operations: ['17-9=8', '16-8=8'] Exploring Operation: 66-8=58, Resulting Numbers: [58] 58,64 unequal: No Solution Exploring Operation: 66+8=74, Resulting Numbers: [74] 74,64 unequal: No Solution Exploring Operation: 66*8=528, Resulting Numbers: [528] 528,64 unequal: No Solution Moving to Node #0,0,1 Current State: 64:[9, 33], Operations: ['16+17=33', '66-33=33'] Exploring Operation: 9+33=42, Resulting Numbers: [42] 42,64 unequal: No Solution Exploring Operation: 9*33=297, Resulting Numbers: [297] 297,64 unequal: No Solution Exploring Operation: 33-9=24, Resulting Numbers: [24] 24,64 unequal: No Solution Moving to Node #0,1,2 Current State: 64:[66, 2], Operations: ['17-9=8', '16/8=2'] Exploring Operation: 66-2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached Moving to Node #0 Current State: 64:[9, 66, 16, 17], Operations: [] Exploring Operation: 17-9=8, Resulting Numbers: [66, 16, 8] Generated Node #0,1: 64:[66, 16, 8] Operation: 17-9=8 Moving to Node #0,1 Current State: 64:[66, 16, 8], Operations: ['17-9=8'] Exploring Operation: 16/8=2, Resulting Numbers: [66, 2] Generated Node #0,1,2: 64:[66, 2] Operation: 16/8=2 Moving to Node #0,1,2 Current State: 64:[66, 2], Operations: ['17-9=8', '16/8=2'] Exploring Operation: 66-2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
0.977431
hs_3
mult_heuristic
[ 47, 2, 26, 77 ]
69
[ "47+26=73", "2*73=146", "146-77=69" ]
Current State: 69:[47, 2, 26, 77], Operations: [] Exploring Operation: 47+26=73, Resulting Numbers: [2, 77, 73] Generated Node #2: [2, 77, 73] from Operation: 47+26=73 Current State: 69:[2, 77, 73], Operations: ['47+26=73'] Exploring Operation: 2*73=146, Resulting Numbers: [77, 146] Generated Node #3: [77, 146] from Operation: 2*73=146 Current State: 69:[77, 146], Operations: ['47+26=73', '2*73=146'] Exploring Operation: 146-77=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
Current State: 69:[47, 2, 26, 77], Operations: [] Exploring Operation: 47-26=21, Resulting Numbers: [2, 77, 21] Generated Node #0,0: 69:[2, 77, 21] Operation: 47-26=21 Start Sub Search at level 1: Moving to Node #0,0 Current State: 69:[2, 77, 21], Operations: ['47-26=21'] Exploring Operation: 77-2=75, Resulting Numbers: [21, 75] Generated Node #0,0,0: 69:[21, 75] Operation: 77-2=75 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 69:[21, 75], Operations: ['47-26=21', '77-2=75'] Exploring Operation: 75-21=54, Resulting Numbers: [54] 54,69 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 92, 51, 89, 64 ]
39
[ "92-89=3", "64-51=13", "3*13=39" ]
Current State: 39:[92, 51, 89, 64], Operations: [] Exploring Operation: 92-89=3, Resulting Numbers: [51, 64, 3] Generated Node #2: [51, 64, 3] from Operation: 92-89=3 Current State: 39:[51, 64, 3], Operations: ['92-89=3'] Exploring Operation: 64-51=13, Resulting Numbers: [3, 13] Generated Node #3: [3, 13] from Operation: 64-51=13 Current State: 39:[3, 13], Operations: ['92-89=3', '64-51=13'] Exploring Operation: 3*13=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
Current State: 39:[92, 51, 89, 64], Operations: [] Exploring Operation: 92-89=3, Resulting Numbers: [51, 64, 3] Generated Node #0,0: 39:[51, 64, 3] Operation: 92-89=3 Moving to Node #0,0 Current State: 39:[51, 64, 3], Operations: ['92-89=3'] Exploring Operation: 64-51=13, Resulting Numbers: [3, 13] Generated Node #0,0,0: 39:[3, 13] Operation: 64-51=13 Moving to Node #0,0,0 Current State: 39:[3, 13], Operations: ['92-89=3', '64-51=13'] Exploring Operation: 3*13=39, Resulting Numbers: [39] 39,39 equal: Goal Reached Moving to Node #0 Current State: 39:[92, 51, 89, 64], Operations: [] Exploring Operation: 92-89=3, Resulting Numbers: [51, 64, 3] Generated Node #0,0: 39:[51, 64, 3] Operation: 92-89=3 Moving to Node #0,0 Current State: 39:[51, 64, 3], Operations: ['92-89=3'] Exploring Operation: 64-51=13, Resulting Numbers: [3, 13] Generated Node #0,0,0: 39:[3, 13] Operation: 64-51=13 Moving to Node #0,0,0 Current State: 39:[3, 13], Operations: ['92-89=3', '64-51=13'] Exploring Operation: 3*13=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
0.993924
hs_1
sum_heuristic
[ 30, 51, 11, 30 ]
63
[ "30/30=1", "51+11=62", "1+62=63" ]
Current State: 63:[30, 51, 11, 30], Operations: [] Exploring Operation: 30/30=1, Resulting Numbers: [51, 11, 1] Generated Node #2: [51, 11, 1] from Operation: 30/30=1 Current State: 63:[51, 11, 1], Operations: ['30/30=1'] Exploring Operation: 51+11=62, Resulting Numbers: [1, 62] Generated Node #3: [1, 62] from Operation: 51+11=62 Current State: 63:[1, 62], Operations: ['30/30=1', '51+11=62'] Exploring Operation: 1+62=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
Current State: 63:[30, 51, 11, 30], Operations: [] Exploring Operation: 51-30=21, Resulting Numbers: [11, 30, 21] Generated Node #0,0: 63:[11, 30, 21] Operation: 51-30=21 Moving to Node #0,0 Current State: 63:[11, 30, 21], Operations: ['51-30=21'] Exploring Operation: 30-11=19, Resulting Numbers: [21, 19] Generated Node #0,0,0: 63:[21, 19] Operation: 30-11=19 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 63:[21, 19], Operations: ['51-30=21', '30-11=19'] Exploring Operation: 21-19=2, Resulting Numbers: [2] 2,63 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 92, 7, 97, 3 ]
70
[ "92+97=189", "189/3=63", "7+63=70" ]
Current State: 70:[92, 7, 97, 3], Operations: [] Exploring Operation: 92+97=189, Resulting Numbers: [7, 3, 189] Generated Node #2: [7, 3, 189] from Operation: 92+97=189 Current State: 70:[7, 3, 189], Operations: ['92+97=189'] Exploring Operation: 189/3=63, Resulting Numbers: [7, 63] Generated Node #3: [7, 63] from Operation: 189/3=63 Current State: 70:[7, 63], Operations: ['92+97=189', '189/3=63'] Exploring Operation: 7+63=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
Current State: 70:[92, 7, 97, 3], Operations: [] Exploring Operation: 97-92=5, Resulting Numbers: [7, 3, 5] Generated Node #0,0: 70:[7, 3, 5] Operation: 97-92=5 Moving to Node #0,0 Current State: 70:[7, 3, 5], Operations: ['97-92=5'] Exploring Operation: 7+3=10, Resulting Numbers: [5, 10] Generated Node #0,0,0: 70:[5, 10] Operation: 7+3=10 Moving to Node #0,0,0 Current State: 70:[5, 10], Operations: ['97-92=5', '7+3=10'] Exploring Operation: 10-5=5, Resulting Numbers: [5] 5,70 unequal: No Solution No solution found.
0
hs_1
sum_heuristic
[ 71, 30, 11, 46 ]
92
[ "71-11=60", "60/30=2", "46*2=92" ]
Current State: 92:[71, 30, 11, 46], Operations: [] Exploring Operation: 71-11=60, Resulting Numbers: [30, 46, 60] Generated Node #2: [30, 46, 60] from Operation: 71-11=60 Current State: 92:[30, 46, 60], Operations: ['71-11=60'] Exploring Operation: 60/30=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 60/30=2 Current State: 92:[46, 2], Operations: ['71-11=60', '60/30=2'] Exploring Operation: 46*2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
Current State: 92:[71, 30, 11, 46], Operations: [] Exploring Operation: 71-46=25, Resulting Numbers: [30, 11, 25] Generated Node #0,0: 92:[30, 11, 25] Operation: 71-46=25 Exploring Operation: 71+30=101, Resulting Numbers: [11, 46, 101] Generated Node #0,1: 92:[11, 46, 101] Operation: 71+30=101 Exploring Operation: 71-30=41, Resulting Numbers: [11, 46, 41] Generated Node #0,2: 92:[11, 46, 41] Operation: 71-30=41 Start Sub Search at level 1: Moving to Node #0,2 Current State: 92:[11, 46, 41], Operations: ['71-30=41'] Exploring Operation: 11+41=52, Resulting Numbers: [46, 52] Generated Node #0,2,0: 92:[46, 52] Operation: 11+41=52 Exploring Operation: 41-11=30, Resulting Numbers: [46, 30] Generated Node #0,2,1: 92:[46, 30] Operation: 41-11=30 Exploring Operation: 46-41=5, Resulting Numbers: [11, 5] Generated Node #0,2,2: 92:[11, 5] Operation: 46-41=5 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 92:[46, 52], Operations: ['71-30=41', '11+41=52'] Exploring Operation: 52-46=6, Resulting Numbers: [6] 6,92 unequal: No Solution Exploring Operation: 46*52=2392, Resulting Numbers: [2392] 2392,92 unequal: No Solution Exploring Operation: 46+52=98, Resulting Numbers: [98] 98,92 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 92:[46, 30], Operations: ['71-30=41', '41-11=30'] Exploring Operation: 46*30=1380, Resulting Numbers: [1380] 1380,92 unequal: No Solution Exploring Operation: 46+30=76, Resulting Numbers: [76] 76,92 unequal: No Solution Exploring Operation: 46-30=16, Resulting Numbers: [16] 16,92 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 92:[11, 5], Operations: ['71-30=41', '46-41=5'] Exploring Operation: 11+5=16, Resulting Numbers: [16] 16,92 unequal: No Solution Exploring Operation: 11*5=55, Resulting Numbers: [55] 55,92 unequal: No Solution Exploring Operation: 11-5=6, Resulting Numbers: [6] 6,92 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 92:[30, 11, 25], Operations: ['71-46=25'] Exploring Operation: 30+11=41, Resulting Numbers: [25, 41] Generated Node #0,0,0: 92:[25, 41] Operation: 30+11=41 Exploring Operation: 30-25=5, Resulting Numbers: [11, 5] Generated Node #0,0,1: 92:[11, 5] Operation: 30-25=5 Exploring Operation: 30-11=19, Resulting Numbers: [25, 19] Generated Node #0,0,2: 92:[25, 19] Operation: 30-11=19 Moving to Node #0,0,2 Current State: 92:[25, 19], Operations: ['71-46=25', '30-11=19'] Exploring Operation: 25+19=44, Resulting Numbers: [44] 44,92 unequal: No Solution Exploring Operation: 25*19=475, Resulting Numbers: [475] 475,92 unequal: No Solution Exploring Operation: 25-19=6, Resulting Numbers: [6] 6,92 unequal: No Solution Moving to Node #0,0,0 Current State: 92:[25, 41], Operations: ['71-46=25', '30+11=41'] Exploring Operation: 41-25=16, Resulting Numbers: [16] 16,92 unequal: No Solution Exploring Operation: 25+41=66, Resulting Numbers: [66] 66,92 unequal: No Solution Exploring Operation: 25*41=1025, Resulting Numbers: [1025] 1025,92 unequal: No Solution Moving to Node #0,0,1 Current State: 92:[11, 5], Operations: ['71-46=25', '30-25=5'] Exploring Operation: 11+5=16, Resulting Numbers: [16] 16,92 unequal: No Solution Exploring Operation: 11-5=6, Resulting Numbers: [6] 6,92 unequal: No Solution Exploring Operation: 11*5=55, Resulting Numbers: [55] 55,92 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 92:[11, 46, 101], Operations: ['71+30=101'] Exploring Operation: 11+46=57, Resulting Numbers: [101, 57] Generated Node #0,1,0: 92:[101, 57] Operation: 11+46=57 Exploring Operation: 101-11=90, Resulting Numbers: [46, 90] Generated Node #0,1,1: 92:[46, 90] Operation: 101-11=90 Exploring Operation: 101-46=55, Resulting Numbers: [11, 55] Generated Node #0,1,2: 92:[11, 55] Operation: 101-46=55 Moving to Node #0,1,1 Current State: 92:[46, 90], Operations: ['71+30=101', '101-11=90'] Exploring Operation: 90-46=44, Resulting Numbers: [44] 44,92 unequal: No Solution Exploring Operation: 46+90=136, Resulting Numbers: [136] 136,92 unequal: No Solution Exploring Operation: 46*90=4140, Resulting Numbers: [4140] 4140,92 unequal: No Solution Moving to Node #0,1,2 Current State: 92:[11, 55], Operations: ['71+30=101', '101-46=55'] Exploring Operation: 55/11=5, Resulting Numbers: [5] 5,92 unequal: No Solution Exploring Operation: 55-11=44, Resulting Numbers: [44] 44,92 unequal: No Solution Exploring Operation: 11+55=66, Resulting Numbers: [66] 66,92 unequal: No Solution Moving to Node #0,1,0 Current State: 92:[101, 57], Operations: ['71+30=101', '11+46=57'] Exploring Operation: 101+57=158, Resulting Numbers: [158] 158,92 unequal: No Solution Exploring Operation: 101-57=44, Resulting Numbers: [44] 44,92 unequal: No Solution Exploring Operation: 101*57=5757, Resulting Numbers: [5757] 5757,92 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_3
mult_heuristic
[ 44, 35, 97, 13 ]
39
[ "35+97=132", "132/44=3", "13*3=39" ]
Current State: 39:[44, 35, 97, 13], Operations: [] Exploring Operation: 35+97=132, Resulting Numbers: [44, 13, 132] Generated Node #2: [44, 13, 132] from Operation: 35+97=132 Current State: 39:[44, 13, 132], Operations: ['35+97=132'] Exploring Operation: 132/44=3, Resulting Numbers: [13, 3] Generated Node #3: [13, 3] from Operation: 132/44=3 Current State: 39:[13, 3], Operations: ['35+97=132', '132/44=3'] Exploring Operation: 13*3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
Current State: 39:[44, 35, 97, 13], Operations: [] Exploring Operation: 97-13=84, Resulting Numbers: [44, 35, 84] Generated Node #0,0: 39:[44, 35, 84] Operation: 97-13=84 Exploring Operation: 97-35=62, Resulting Numbers: [44, 13, 62] Generated Node #0,1: 39:[44, 13, 62] Operation: 97-35=62 Exploring Operation: 97-44=53, Resulting Numbers: [35, 13, 53] Generated Node #0,2: 39:[35, 13, 53] Operation: 97-44=53 Start Sub Search at level 1: Moving to Node #0,2 Current State: 39:[35, 13, 53], Operations: ['97-44=53'] Exploring Operation: 53-13=40, Resulting Numbers: [35, 40] Generated Node #0,2,0: 39:[35, 40] Operation: 53-13=40 Exploring Operation: 35+13=48, Resulting Numbers: [53, 48] Generated Node #0,2,1: 39:[53, 48] Operation: 35+13=48 Exploring Operation: 53-35=18, Resulting Numbers: [13, 18] Generated Node #0,2,2: 39:[13, 18] Operation: 53-35=18 Moving to Node #0,2,0 Current State: 39:[35, 40], Operations: ['97-44=53', '53-13=40'] Exploring Operation: 35*40=1400, Resulting Numbers: [1400] 1400,39 unequal: No Solution Exploring Operation: 40-35=5, Resulting Numbers: [5] 5,39 unequal: No Solution Exploring Operation: 35+40=75, Resulting Numbers: [75] 75,39 unequal: No Solution Moving to Node #0,2,2 Current State: 39:[13, 18], Operations: ['97-44=53', '53-35=18'] Exploring Operation: 13*18=234, Resulting Numbers: [234] 234,39 unequal: No Solution Exploring Operation: 13+18=31, Resulting Numbers: [31] 31,39 unequal: No Solution Exploring Operation: 18-13=5, Resulting Numbers: [5] 5,39 unequal: No Solution Moving to Node #0,2,1 Current State: 39:[53, 48], Operations: ['97-44=53', '35+13=48'] Exploring Operation: 53+48=101, Resulting Numbers: [101] 101,39 unequal: No Solution Exploring Operation: 53*48=2544, Resulting Numbers: [2544] 2544,39 unequal: No Solution Exploring Operation: 53-48=5, Resulting Numbers: [5] 5,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 39:[44, 13, 62], Operations: ['97-35=62'] Exploring Operation: 62-13=49, Resulting Numbers: [44, 49] Generated Node #0,1,0: 39:[44, 49] Operation: 62-13=49 Exploring Operation: 62-44=18, Resulting Numbers: [13, 18] Generated Node #0,1,1: 39:[13, 18] Operation: 62-44=18 Exploring Operation: 44-13=31, Resulting Numbers: [62, 31] Generated Node #0,1,2: 39:[62, 31] Operation: 44-13=31 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 39:[13, 18], Operations: ['97-35=62', '62-44=18'] Exploring Operation: 18-13=5, Resulting Numbers: [5] 5,39 unequal: No Solution Exploring Operation: 13+18=31, Resulting Numbers: [31] 31,39 unequal: No Solution Exploring Operation: 13*18=234, Resulting Numbers: [234] 234,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 39:[44, 49], Operations: ['97-35=62', '62-13=49'] Exploring Operation: 44+49=93, Resulting Numbers: [93] 93,39 unequal: No Solution Exploring Operation: 49-44=5, Resulting Numbers: [5] 5,39 unequal: No Solution Exploring Operation: 44*49=2156, Resulting Numbers: [2156] 2156,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 39:[62, 31], Operations: ['97-35=62', '44-13=31'] Exploring Operation: 62/31=2, Resulting Numbers: [2] 2,39 unequal: No Solution Exploring Operation: 62+31=93, Resulting Numbers: [93] 93,39 unequal: No Solution Exploring Operation: 62-31=31, Resulting Numbers: [31] 31,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 39:[44, 35, 84], Operations: ['97-13=84'] Exploring Operation: 84-44=40, Resulting Numbers: [35, 40] Generated Node #0,0,0: 39:[35, 40] Operation: 84-44=40 Exploring Operation: 84-35=49, Resulting Numbers: [44, 49] Generated Node #0,0,1: 39:[44, 49] Operation: 84-35=49 Exploring Operation: 44-35=9, Resulting Numbers: [84, 9] Generated Node #0,0,2: 39:[84, 9] Operation: 44-35=9 Moving to Node #0,0,0 Current State: 39:[35, 40], Operations: ['97-13=84', '84-44=40'] Exploring Operation: 35+40=75, Resulting Numbers: [75] 75,39 unequal: No Solution Exploring Operation: 35*40=1400, Resulting Numbers: [1400] 1400,39 unequal: No Solution Exploring Operation: 40-35=5, Resulting Numbers: [5] 5,39 unequal: No Solution Moving to Node #0,0,1 Current State: 39:[44, 49], Operations: ['97-13=84', '84-35=49'] Exploring Operation: 44+49=93, Resulting Numbers: [93] 93,39 unequal: No Solution Exploring Operation: 49-44=5, Resulting Numbers: [5] 5,39 unequal: No Solution Exploring Operation: 44*49=2156, Resulting Numbers: [2156] 2156,39 unequal: No Solution Moving to Node #0,0,2 Current State: 39:[84, 9], Operations: ['97-13=84', '44-35=9'] Exploring Operation: 84-9=75, Resulting Numbers: [75] 75,39 unequal: No Solution Exploring Operation: 84*9=756, Resulting Numbers: [756] 756,39 unequal: No Solution Exploring Operation: 84+9=93, Resulting Numbers: [93] 93,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_3
sum_heuristic
[ 56, 80, 14, 35 ]
41
[ "56/14=4", "80-35=45", "45-4=41" ]
Current State: 41:[56, 80, 14, 35], Operations: [] Exploring Operation: 56/14=4, Resulting Numbers: [80, 35, 4] Generated Node #2: [80, 35, 4] from Operation: 56/14=4 Current State: 41:[80, 35, 4], Operations: ['56/14=4'] Exploring Operation: 80-35=45, Resulting Numbers: [4, 45] Generated Node #3: [4, 45] from Operation: 80-35=45 Current State: 41:[4, 45], Operations: ['56/14=4', '80-35=45'] Exploring Operation: 45-4=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
Current State: 41:[56, 80, 14, 35], Operations: [] Exploring Operation: 80-35=45, Resulting Numbers: [56, 14, 45] Generated Node #0,0: 41:[56, 14, 45] Operation: 80-35=45 Exploring Operation: 80-14=66, Resulting Numbers: [56, 35, 66] Generated Node #0,1: 41:[56, 35, 66] Operation: 80-14=66 Exploring Operation: 56-14=42, Resulting Numbers: [80, 35, 42] Generated Node #0,2: 41:[80, 35, 42] Operation: 56-14=42 Exploring Operation: 80-56=24, Resulting Numbers: [14, 35, 24] Generated Node #0,3: 41:[14, 35, 24] Operation: 80-56=24 Start Sub Search at level 1: Moving to Node #0,0 Current State: 41:[56, 14, 45], Operations: ['80-35=45'] Exploring Operation: 14+45=59, Resulting Numbers: [56, 59] Generated Node #0,0,0: 41:[56, 59] Operation: 14+45=59 Exploring Operation: 56+14=70, Resulting Numbers: [45, 70] Generated Node #0,0,1: 41:[45, 70] Operation: 56+14=70 Exploring Operation: 45-14=31, Resulting Numbers: [56, 31] Generated Node #0,0,2: 41:[56, 31] Operation: 45-14=31 Exploring Operation: 56-14=42, Resulting Numbers: [45, 42] Generated Node #0,0,3: 41:[45, 42] Operation: 56-14=42 Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 41:[45, 42], Operations: ['80-35=45', '56-14=42'] Exploring Operation: 45*42=1890, Resulting Numbers: [1890] 1890,41 unequal: No Solution Exploring Operation: 45-42=3, Resulting Numbers: [3] 3,41 unequal: No Solution Exploring Operation: 45+42=87, Resulting Numbers: [87] 87,41 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 41:[56, 31], Operations: ['80-35=45', '45-14=31'] Exploring Operation: 56-31=25, Resulting Numbers: [25] 25,41 unequal: No Solution Exploring Operation: 56*31=1736, Resulting Numbers: [1736] 1736,41 unequal: No Solution Exploring Operation: 56+31=87, Resulting Numbers: [87] 87,41 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 41:[56, 59], Operations: ['80-35=45', '14+45=59'] Exploring Operation: 59-56=3, Resulting Numbers: [3] 3,41 unequal: No Solution Exploring Operation: 56+59=115, Resulting Numbers: [115] 115,41 unequal: No Solution Exploring Operation: 56*59=3304, Resulting Numbers: [3304] 3304,41 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 41:[45, 70], Operations: ['80-35=45', '56+14=70'] Exploring Operation: 45+70=115, Resulting Numbers: [115] 115,41 unequal: No Solution Exploring Operation: 70-45=25, Resulting Numbers: [25] 25,41 unequal: No Solution Exploring Operation: 45*70=3150, Resulting Numbers: [3150] 3150,41 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 41:[56, 35, 66], Operations: ['80-14=66'] Exploring Operation: 66-56=10, Resulting Numbers: [35, 10] Generated Node #0,1,0: 41:[35, 10] Operation: 66-56=10 Exploring Operation: 56-35=21, Resulting Numbers: [66, 21] Generated Node #0,1,1: 41:[66, 21] Operation: 56-35=21 Exploring Operation: 56+35=91, Resulting Numbers: [66, 91] Generated Node #0,1,2: 41:[66, 91] Operation: 56+35=91 Exploring Operation: 66-35=31, Resulting Numbers: [56, 31] Generated Node #0,1,3: 41:[56, 31] Operation: 66-35=31 Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 41:[56, 31], Operations: ['80-14=66', '66-35=31'] Exploring Operation: 56+31=87, Resulting Numbers: [87] 87,41 unequal: No Solution Exploring Operation: 56*31=1736, Resulting Numbers: [1736] 1736,41 unequal: No Solution Exploring Operation: 56-31=25, Resulting Numbers: [25] 25,41 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 41:[35, 10], Operations: ['80-14=66', '66-56=10'] Exploring Operation: 35*10=350, Resulting Numbers: [350] 350,41 unequal: No Solution Exploring Operation: 35-10=25, Resulting Numbers: [25] 25,41 unequal: No Solution Exploring Operation: 35+10=45, Resulting Numbers: [45] 45,41 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 41:[66, 21], Operations: ['80-14=66', '56-35=21'] Exploring Operation: 66+21=87, Resulting Numbers: [87] 87,41 unequal: No Solution Exploring Operation: 66-21=45, Resulting Numbers: [45] 45,41 unequal: No Solution Exploring Operation: 66*21=1386, Resulting Numbers: [1386] 1386,41 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 41:[66, 91], Operations: ['80-14=66', '56+35=91'] Exploring Operation: 91-66=25, Resulting Numbers: [25] 25,41 unequal: No Solution Exploring Operation: 66*91=6006, Resulting Numbers: [6006] 6006,41 unequal: No Solution Exploring Operation: 66+91=157, Resulting Numbers: [157] 157,41 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 41:[80, 35, 42], Operations: ['56-14=42'] Exploring Operation: 42-35=7, Resulting Numbers: [80, 7] Generated Node #0,2,0: 41:[80, 7] Operation: 42-35=7 Exploring Operation: 80-35=45, Resulting Numbers: [42, 45] Generated Node #0,2,1: 41:[42, 45] Operation: 80-35=45 Exploring Operation: 80+35=115, Resulting Numbers: [42, 115] Generated Node #0,2,2: 41:[42, 115] Operation: 80+35=115 Exploring Operation: 80-42=38, Resulting Numbers: [35, 38] Generated Node #0,2,3: 41:[35, 38] Operation: 80-42=38 Moving to Node #0,2,1 Current State: 41:[42, 45], Operations: ['56-14=42', '80-35=45'] Exploring Operation: 42+45=87, Resulting Numbers: [87] 87,41 unequal: No Solution Exploring Operation: 42*45=1890, Resulting Numbers: [1890] 1890,41 unequal: No Solution Exploring Operation: 45-42=3, Resulting Numbers: [3] 3,41 unequal: No Solution Moving to Node #0,2,3 Current State: 41:[35, 38], Operations: ['56-14=42', '80-42=38'] Exploring Operation: 35+38=73, Resulting Numbers: [73] 73,41 unequal: No Solution Exploring Operation: 38-35=3, Resulting Numbers: [3] 3,41 unequal: No Solution Exploring Operation: 35*38=1330, Resulting Numbers: [1330] 1330,41 unequal: No Solution Moving to Node #0,2,0 Current State: 41:[80, 7], Operations: ['56-14=42', '42-35=7'] Exploring Operation: 80+7=87, Resulting Numbers: [87] 87,41 unequal: No Solution Exploring Operation: 80-7=73, Resulting Numbers: [73] 73,41 unequal: No Solution Exploring Operation: 80*7=560, Resulting Numbers: [560] 560,41 unequal: No Solution Moving to Node #0,2,2 Current State: 41:[42, 115], Operations: ['56-14=42', '80+35=115'] Exploring Operation: 42+115=157, Resulting Numbers: [157] 157,41 unequal: No Solution Exploring Operation: 115-42=73, Resulting Numbers: [73] 73,41 unequal: No Solution Exploring Operation: 42*115=4830, Resulting Numbers: [4830] 4830,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 41:[14, 35, 24], Operations: ['80-56=24'] Exploring Operation: 14+35=49, Resulting Numbers: [24, 49] Generated Node #0,3,0: 41:[24, 49] Operation: 14+35=49 Exploring Operation: 24-14=10, Resulting Numbers: [35, 10] Generated Node #0,3,1: 41:[35, 10] Operation: 24-14=10 Exploring Operation: 35-14=21, Resulting Numbers: [24, 21] Generated Node #0,3,2: 41:[24, 21] Operation: 35-14=21 Exploring Operation: 14+24=38, Resulting Numbers: [35, 38] Generated Node #0,3,3: 41:[35, 38] Operation: 14+24=38 Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 41:[35, 38], Operations: ['80-56=24', '14+24=38'] Exploring Operation: 35+38=73, Resulting Numbers: [73] 73,41 unequal: No Solution Exploring Operation: 35*38=1330, Resulting Numbers: [1330] 1330,41 unequal: No Solution Exploring Operation: 38-35=3, Resulting Numbers: [3] 3,41 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 41:[24, 49], Operations: ['80-56=24', '14+35=49'] Exploring Operation: 24*49=1176, Resulting Numbers: [1176] 1176,41 unequal: No Solution Exploring Operation: 49-24=25, Resulting Numbers: [25] 25,41 unequal: No Solution Exploring Operation: 24+49=73, Resulting Numbers: [73] 73,41 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 41:[35, 10], Operations: ['80-56=24', '24-14=10'] Exploring Operation: 35*10=350, Resulting Numbers: [350] 350,41 unequal: No Solution Exploring Operation: 35+10=45, Resulting Numbers: [45] 45,41 unequal: No Solution Exploring Operation: 35-10=25, Resulting Numbers: [25] 25,41 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 41:[24, 21], Operations: ['80-56=24', '35-14=21'] Exploring Operation: 24-21=3, Resulting Numbers: [3] 3,41 unequal: No Solution Exploring Operation: 24+21=45, Resulting Numbers: [45] 45,41 unequal: No Solution Exploring Operation: 24*21=504, Resulting Numbers: [504] 504,41 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
sum_heuristic
[ 71, 78, 2, 64 ]
39
[ "78-71=7", "64/2=32", "7+32=39" ]
Current State: 39:[71, 78, 2, 64], Operations: [] Exploring Operation: 78-71=7, Resulting Numbers: [2, 64, 7] Generated Node #2: [2, 64, 7] from Operation: 78-71=7 Current State: 39:[2, 64, 7], Operations: ['78-71=7'] Exploring Operation: 64/2=32, Resulting Numbers: [7, 32] Generated Node #3: [7, 32] from Operation: 64/2=32 Current State: 39:[7, 32], Operations: ['78-71=7', '64/2=32'] Exploring Operation: 7+32=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
Current State: 39:[71, 78, 2, 64], Operations: [] Exploring Operation: 78-71=7, Resulting Numbers: [2, 64, 7] Generated Node #0,0: 39:[2, 64, 7] Operation: 78-71=7 Start Sub Search at level 1: Moving to Node #0,0 Current State: 39:[2, 64, 7], Operations: ['78-71=7'] Exploring Operation: 64/2=32, Resulting Numbers: [7, 32] Generated Node #0,0,0: 39:[7, 32] Operation: 64/2=32 Moving to Node #0,0,0 Current State: 39:[7, 32], Operations: ['78-71=7', '64/2=32'] Exploring Operation: 7+32=39, Resulting Numbers: [39] 39,39 equal: Goal Reached Moving to Node #0 Current State: 39:[71, 78, 2, 64], Operations: [] Exploring Operation: 78-71=7, Resulting Numbers: [2, 64, 7] Generated Node #0,0: 39:[2, 64, 7] Operation: 78-71=7 Moving to Node #0,0 Current State: 39:[2, 64, 7], Operations: ['78-71=7'] Exploring Operation: 64/2=32, Resulting Numbers: [7, 32] Generated Node #0,0,0: 39:[7, 32] Operation: 64/2=32 Moving to Node #0,0,0 Current State: 39:[7, 32], Operations: ['78-71=7', '64/2=32'] Exploring Operation: 7+32=39, Resulting Numbers: [39] 39,39 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
mult_heuristic
[ 61, 10, 36, 9 ]
78
[ "61-10=51", "36-9=27", "51+27=78" ]
Current State: 78:[61, 10, 36, 9], Operations: [] Exploring Operation: 61-10=51, Resulting Numbers: [36, 9, 51] Generated Node #2: [36, 9, 51] from Operation: 61-10=51 Current State: 78:[36, 9, 51], Operations: ['61-10=51'] Exploring Operation: 36-9=27, Resulting Numbers: [51, 27] Generated Node #3: [51, 27] from Operation: 36-9=27 Current State: 78:[51, 27], Operations: ['61-10=51', '36-9=27'] Exploring Operation: 51+27=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
Current State: 78:[61, 10, 36, 9], Operations: [] Exploring Operation: 61-36=25, Resulting Numbers: [10, 9, 25] Generated Node #0,0: 78:[10, 9, 25] Operation: 61-36=25 Exploring Operation: 61+10=71, Resulting Numbers: [36, 9, 71] Generated Node #0,1: 78:[36, 9, 71] Operation: 61+10=71 Start Sub Search at level 1: Moving to Node #0,0 Current State: 78:[10, 9, 25], Operations: ['61-36=25'] Exploring Operation: 10-9=1, Resulting Numbers: [25, 1] Generated Node #0,0,0: 78:[25, 1] Operation: 10-9=1 Exploring Operation: 25-10=15, Resulting Numbers: [9, 15] Generated Node #0,0,1: 78:[9, 15] Operation: 25-10=15 Moving to Node #0,0,0 Current State: 78:[25, 1], Operations: ['61-36=25', '10-9=1'] Exploring Operation: 25+1=26, Resulting Numbers: [26] 26,78 unequal: No Solution Exploring Operation: 25*1=25, Resulting Numbers: [25] 25,78 unequal: No Solution Moving to Node #0,0,1 Current State: 78:[9, 15], Operations: ['61-36=25', '25-10=15'] Exploring Operation: 15-9=6, Resulting Numbers: [6] 6,78 unequal: No Solution Exploring Operation: 9+15=24, Resulting Numbers: [24] 24,78 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 78:[36, 9, 71], Operations: ['61+10=71'] Exploring Operation: 71-36=35, Resulting Numbers: [9, 35] Generated Node #0,1,0: 78:[9, 35] Operation: 71-36=35 Exploring Operation: 9+71=80, Resulting Numbers: [36, 80] Generated Node #0,1,1: 78:[36, 80] Operation: 9+71=80 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 78:[36, 80], Operations: ['61+10=71', '9+71=80'] Exploring Operation: 36+80=116, Resulting Numbers: [116] 116,78 unequal: No Solution Exploring Operation: 80-36=44, Resulting Numbers: [44] 44,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 78:[9, 35], Operations: ['61+10=71', '71-36=35'] Exploring Operation: 35-9=26, Resulting Numbers: [26] 26,78 unequal: No Solution Exploring Operation: 9+35=44, Resulting Numbers: [44] 44,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
mult_heuristic
[ 89, 3, 81, 10 ]
14
[ "89+81=170", "170/10=17", "17-3=14" ]
Current State: 14:[89, 3, 81, 10], Operations: [] Exploring Operation: 89+81=170, Resulting Numbers: [3, 10, 170] Generated Node #2: [3, 10, 170] from Operation: 89+81=170 Current State: 14:[3, 10, 170], Operations: ['89+81=170'] Exploring Operation: 170/10=17, Resulting Numbers: [3, 17] Generated Node #3: [3, 17] from Operation: 170/10=17 Current State: 14:[3, 17], Operations: ['89+81=170', '170/10=17'] Exploring Operation: 17-3=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
Current State: 14:[89, 3, 81, 10], Operations: [] Exploring Operation: 89-81=8, Resulting Numbers: [3, 10, 8] Generated Node #0,0: 14:[3, 10, 8] Operation: 89-81=8 Start Sub Search at level 1: Moving to Node #0,0 Current State: 14:[3, 10, 8], Operations: ['89-81=8'] Exploring Operation: 10-3=7, Resulting Numbers: [8, 7] Generated Node #0,0,0: 14:[8, 7] Operation: 10-3=7 Moving to Node #0,0,0 Current State: 14:[8, 7], Operations: ['89-81=8', '10-3=7'] Exploring Operation: 8+7=15, Resulting Numbers: [15] 15,14 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 65, 11, 42, 53 ]
19
[ "65+11=76", "42+53=95", "95-76=19" ]
Current State: 19:[65, 11, 42, 53], Operations: [] Exploring Operation: 65+11=76, Resulting Numbers: [42, 53, 76] Generated Node #2: [42, 53, 76] from Operation: 65+11=76 Current State: 19:[42, 53, 76], Operations: ['65+11=76'] Exploring Operation: 42+53=95, Resulting Numbers: [76, 95] Generated Node #3: [76, 95] from Operation: 42+53=95 Current State: 19:[76, 95], Operations: ['65+11=76', '42+53=95'] Exploring Operation: 95-76=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
Current State: 19:[65, 11, 42, 53], Operations: [] Exploring Operation: 53-42=11, Resulting Numbers: [65, 11, 11] Generated Node #0,0: 19:[65, 11, 11] Operation: 53-42=11 Exploring Operation: 65-42=23, Resulting Numbers: [11, 53, 23] Generated Node #0,1: 19:[11, 53, 23] Operation: 65-42=23 Exploring Operation: 42-11=31, Resulting Numbers: [65, 53, 31] Generated Node #0,2: 19:[65, 53, 31] Operation: 42-11=31 Exploring Operation: 65-53=12, Resulting Numbers: [11, 42, 12] Generated Node #0,3: 19:[11, 42, 12] Operation: 65-53=12 Exploring Operation: 65-11=54, Resulting Numbers: [42, 53, 54] Generated Node #0,4: 19:[42, 53, 54] Operation: 65-11=54 Start Sub Search at level 1: Moving to Node #0,3 Current State: 19:[11, 42, 12], Operations: ['65-53=12'] Exploring Operation: 12-11=1, Resulting Numbers: [42, 1] Generated Node #0,3,0: 19:[42, 1] Operation: 12-11=1 Exploring Operation: 11+42=53, Resulting Numbers: [12, 53] Generated Node #0,3,1: 19:[12, 53] Operation: 11+42=53 Exploring Operation: 42-12=30, Resulting Numbers: [11, 30] Generated Node #0,3,2: 19:[11, 30] Operation: 42-12=30 Exploring Operation: 42-11=31, Resulting Numbers: [12, 31] Generated Node #0,3,3: 19:[12, 31] Operation: 42-11=31 Exploring Operation: 11+12=23, Resulting Numbers: [42, 23] Generated Node #0,3,4: 19:[42, 23] Operation: 11+12=23 Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 19:[11, 30], Operations: ['65-53=12', '42-12=30'] Exploring Operation: 11+30=41, Resulting Numbers: [41] 41,19 unequal: No Solution Exploring Operation: 30-11=19, Resulting Numbers: [19] 19,19 equal: Goal Reached Moving to Node #0 Current State: 19:[65, 11, 42, 53], Operations: [] Exploring Operation: 65-53=12, Resulting Numbers: [11, 42, 12] Generated Node #0,3: 19:[11, 42, 12] Operation: 65-53=12 Moving to Node #0,3 Current State: 19:[11, 42, 12], Operations: ['65-53=12'] Exploring Operation: 42-12=30, Resulting Numbers: [11, 30] Generated Node #0,3,2: 19:[11, 30] Operation: 42-12=30 Moving to Node #0,3,2 Current State: 19:[11, 30], Operations: ['65-53=12', '42-12=30'] Exploring Operation: 30-11=19, Resulting Numbers: [19] 19,19 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.986111
hs_5
sum_heuristic
[ 60, 42, 2, 48 ]
84
[ "60-42=18", "2*18=36", "48+36=84" ]
Current State: 84:[60, 42, 2, 48], Operations: [] Exploring Operation: 60-42=18, Resulting Numbers: [2, 48, 18] Generated Node #2: [2, 48, 18] from Operation: 60-42=18 Current State: 84:[2, 48, 18], Operations: ['60-42=18'] Exploring Operation: 2*18=36, Resulting Numbers: [48, 36] Generated Node #3: [48, 36] from Operation: 2*18=36 Current State: 84:[48, 36], Operations: ['60-42=18', '2*18=36'] Exploring Operation: 48+36=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
Current State: 84:[60, 42, 2, 48], Operations: [] Exploring Operation: 60-48=12, Resulting Numbers: [42, 2, 12] Generated Node #0,0: 84:[42, 2, 12] Operation: 60-48=12 Start Sub Search at level 1: Moving to Node #0,0 Current State: 84:[42, 2, 12], Operations: ['60-48=12'] Exploring Operation: 42*2=84, Resulting Numbers: [12, 84] Generated Node #0,0,0: 84:[12, 84] Operation: 42*2=84 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 84:[12, 84], Operations: ['60-48=12', '42*2=84'] Exploring Operation: 84/12=7, Resulting Numbers: [7] 7,84 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 85, 3, 34, 9 ]
45
[ "85+3=88", "34+9=43", "88-43=45" ]
Current State: 45:[85, 3, 34, 9], Operations: [] Exploring Operation: 85+3=88, Resulting Numbers: [34, 9, 88] Generated Node #2: [34, 9, 88] from Operation: 85+3=88 Current State: 45:[34, 9, 88], Operations: ['85+3=88'] Exploring Operation: 34+9=43, Resulting Numbers: [88, 43] Generated Node #3: [88, 43] from Operation: 34+9=43 Current State: 45:[88, 43], Operations: ['85+3=88', '34+9=43'] Exploring Operation: 88-43=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
Current State: 45:[85, 3, 34, 9], Operations: [] Exploring Operation: 85-9=76, Resulting Numbers: [3, 34, 76] Generated Node #0,0: 45:[3, 34, 76] Operation: 85-9=76 Exploring Operation: 85-34=51, Resulting Numbers: [3, 9, 51] Generated Node #0,1: 45:[3, 9, 51] Operation: 85-34=51 Moving to Node #0,1 Current State: 45:[3, 9, 51], Operations: ['85-34=51'] Exploring Operation: 51-3=48, Resulting Numbers: [9, 48] Generated Node #0,1,0: 45:[9, 48] Operation: 51-3=48 Exploring Operation: 51/3=17, Resulting Numbers: [9, 17] Generated Node #0,1,1: 45:[9, 17] Operation: 51/3=17 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 45:[9, 17], Operations: ['85-34=51', '51/3=17'] Exploring Operation: 17-9=8, Resulting Numbers: [8] 8,45 unequal: No Solution Exploring Operation: 9+17=26, Resulting Numbers: [26] 26,45 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 45:[9, 48], Operations: ['85-34=51', '51-3=48'] Exploring Operation: 48-9=39, Resulting Numbers: [39] 39,45 unequal: No Solution Exploring Operation: 9+48=57, Resulting Numbers: [57] 57,45 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 45:[3, 34, 76], Operations: ['85-9=76'] Exploring Operation: 3+34=37, Resulting Numbers: [76, 37] Generated Node #0,0,0: 45:[76, 37] Operation: 3+34=37 Exploring Operation: 76-34=42, Resulting Numbers: [3, 42] Generated Node #0,0,1: 45:[3, 42] Operation: 76-34=42 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 45:[3, 42], Operations: ['85-9=76', '76-34=42'] Exploring Operation: 3+42=45, Resulting Numbers: [45] 45,45 equal: Goal Reached Moving to Node #0 Current State: 45:[85, 3, 34, 9], Operations: [] Exploring Operation: 85-9=76, Resulting Numbers: [3, 34, 76] Generated Node #0,0: 45:[3, 34, 76] Operation: 85-9=76 Moving to Node #0,0 Current State: 45:[3, 34, 76], Operations: ['85-9=76'] Exploring Operation: 76-34=42, Resulting Numbers: [3, 42] Generated Node #0,0,1: 45:[3, 42] Operation: 76-34=42 Moving to Node #0,0,1 Current State: 45:[3, 42], Operations: ['85-9=76', '76-34=42'] Exploring Operation: 3+42=45, Resulting Numbers: [45] 45,45 equal: Goal Reached Exit Sub Search at level 1
0.986979
hs_2
mult_heuristic
[ 52, 60, 87, 64 ]
79
[ "60-52=8", "64/8=8", "87-8=79" ]
Current State: 79:[52, 60, 87, 64], Operations: [] Exploring Operation: 60-52=8, Resulting Numbers: [87, 64, 8] Generated Node #2: [87, 64, 8] from Operation: 60-52=8 Current State: 79:[87, 64, 8], Operations: ['60-52=8'] Exploring Operation: 64/8=8, Resulting Numbers: [87, 8] Generated Node #3: [87, 8] from Operation: 64/8=8 Current State: 79:[87, 8], Operations: ['60-52=8', '64/8=8'] Exploring Operation: 87-8=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
Current State: 79:[52, 60, 87, 64], Operations: [] Exploring Operation: 52+64=116, Resulting Numbers: [60, 87, 116] Generated Node #0,0: 79:[60, 87, 116] Operation: 52+64=116 Exploring Operation: 52+60=112, Resulting Numbers: [87, 64, 112] Generated Node #0,1: 79:[87, 64, 112] Operation: 52+60=112 Moving to Node #0,1 Current State: 79:[87, 64, 112], Operations: ['52+60=112'] Exploring Operation: 112-64=48, Resulting Numbers: [87, 48] Generated Node #0,1,0: 79:[87, 48] Operation: 112-64=48 Exploring Operation: 112-87=25, Resulting Numbers: [64, 25] Generated Node #0,1,1: 79:[64, 25] Operation: 112-87=25 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 79:[87, 48], Operations: ['52+60=112', '112-64=48'] Exploring Operation: 87+48=135, Resulting Numbers: [135] 135,79 unequal: No Solution Exploring Operation: 87-48=39, Resulting Numbers: [39] 39,79 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 79:[64, 25], Operations: ['52+60=112', '112-87=25'] Exploring Operation: 64+25=89, Resulting Numbers: [89] 89,79 unequal: No Solution Exploring Operation: 64-25=39, Resulting Numbers: [39] 39,79 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 79:[60, 87, 116], Operations: ['52+64=116'] Exploring Operation: 116-60=56, Resulting Numbers: [87, 56] Generated Node #0,0,0: 79:[87, 56] Operation: 116-60=56 Exploring Operation: 116-87=29, Resulting Numbers: [60, 29] Generated Node #0,0,1: 79:[60, 29] Operation: 116-87=29 Moving to Node #0,0,0 Current State: 79:[87, 56], Operations: ['52+64=116', '116-60=56'] Exploring Operation: 87-56=31, Resulting Numbers: [31] 31,79 unequal: No Solution Exploring Operation: 87+56=143, Resulting Numbers: [143] 143,79 unequal: No Solution Moving to Node #0,0,1 Current State: 79:[60, 29], Operations: ['52+64=116', '116-87=29'] Exploring Operation: 60+29=89, Resulting Numbers: [89] 89,79 unequal: No Solution Exploring Operation: 60-29=31, Resulting Numbers: [31] 31,79 unequal: No Solution No solution found.
0
hs_2
sum_heuristic
[ 95, 57, 41, 8 ]
60
[ "95+57=152", "152/8=19", "41+19=60" ]
Current State: 60:[95, 57, 41, 8], Operations: [] Exploring Operation: 95+57=152, Resulting Numbers: [41, 8, 152] Generated Node #2: [41, 8, 152] from Operation: 95+57=152 Current State: 60:[41, 8, 152], Operations: ['95+57=152'] Exploring Operation: 152/8=19, Resulting Numbers: [41, 19] Generated Node #3: [41, 19] from Operation: 152/8=19 Current State: 60:[41, 19], Operations: ['95+57=152', '152/8=19'] Exploring Operation: 41+19=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
Current State: 60:[95, 57, 41, 8], Operations: [] Exploring Operation: 95-41=54, Resulting Numbers: [57, 8, 54] Generated Node #0,0: 60:[57, 8, 54] Operation: 95-41=54 Start Sub Search at level 1: Moving to Node #0,0 Current State: 60:[57, 8, 54], Operations: ['95-41=54'] Exploring Operation: 57-54=3, Resulting Numbers: [8, 3] Generated Node #0,0,0: 60:[8, 3] Operation: 57-54=3 Moving to Node #0,0,0 Current State: 60:[8, 3], Operations: ['95-41=54', '57-54=3'] Exploring Operation: 8-3=5, Resulting Numbers: [5] 5,60 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
mult_heuristic
[ 13, 80, 81, 83 ]
96
[ "13+83=96", "81-80=1", "96*1=96" ]
Current State: 96:[13, 80, 81, 83], Operations: [] Exploring Operation: 13+83=96, Resulting Numbers: [80, 81, 96] Generated Node #2: [80, 81, 96] from Operation: 13+83=96 Current State: 96:[80, 81, 96], Operations: ['13+83=96'] Exploring Operation: 81-80=1, Resulting Numbers: [96, 1] Generated Node #3: [96, 1] from Operation: 81-80=1 Current State: 96:[96, 1], Operations: ['13+83=96', '81-80=1'] Exploring Operation: 96*1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
Current State: 96:[13, 80, 81, 83], Operations: [] Exploring Operation: 83-80=3, Resulting Numbers: [13, 81, 3] Generated Node #0,0: 96:[13, 81, 3] Operation: 83-80=3 Exploring Operation: 81-80=1, Resulting Numbers: [13, 83, 1] Generated Node #0,1: 96:[13, 83, 1] Operation: 81-80=1 Start Sub Search at level 1: Moving to Node #0,1 Current State: 96:[13, 83, 1], Operations: ['81-80=1'] Exploring Operation: 13+83=96, Resulting Numbers: [1, 96] Generated Node #0,1,0: 96:[1, 96] Operation: 13+83=96 Exploring Operation: 13-1=12, Resulting Numbers: [83, 12] Generated Node #0,1,1: 96:[83, 12] Operation: 13-1=12 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 96:[1, 96], Operations: ['81-80=1', '13+83=96'] Exploring Operation: 96/1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached Moving to Node #0 Current State: 96:[13, 80, 81, 83], Operations: [] Exploring Operation: 81-80=1, Resulting Numbers: [13, 83, 1] Generated Node #0,1: 96:[13, 83, 1] Operation: 81-80=1 Moving to Node #0,1 Current State: 96:[13, 83, 1], Operations: ['81-80=1'] Exploring Operation: 13+83=96, Resulting Numbers: [1, 96] Generated Node #0,1,0: 96:[1, 96] Operation: 13+83=96 Moving to Node #0,1,0 Current State: 96:[1, 96], Operations: ['81-80=1', '13+83=96'] Exploring Operation: 96/1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.992188
hs_2
sum_heuristic
[ 76, 95, 4, 1 ]
100
[ "95+1=96", "96/4=24", "76+24=100" ]
Current State: 100:[76, 95, 4, 1], Operations: [] Exploring Operation: 95+1=96, Resulting Numbers: [76, 4, 96] Generated Node #2: [76, 4, 96] from Operation: 95+1=96 Current State: 100:[76, 4, 96], Operations: ['95+1=96'] Exploring Operation: 96/4=24, Resulting Numbers: [76, 24] Generated Node #3: [76, 24] from Operation: 96/4=24 Current State: 100:[76, 24], Operations: ['95+1=96', '96/4=24'] Exploring Operation: 76+24=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
Current State: 100:[76, 95, 4, 1], Operations: [] Exploring Operation: 95-76=19, Resulting Numbers: [4, 1, 19] Generated Node #0,0: 100:[4, 1, 19] Operation: 95-76=19 Exploring Operation: 76/4=19, Resulting Numbers: [95, 1, 19] Generated Node #0,1: 100:[95, 1, 19] Operation: 76/4=19 Moving to Node #0,0 Current State: 100:[4, 1, 19], Operations: ['95-76=19'] Exploring Operation: 4+1=5, Resulting Numbers: [19, 5] Generated Node #0,0,0: 100:[19, 5] Operation: 4+1=5 Exploring Operation: 1+19=20, Resulting Numbers: [4, 20] Generated Node #0,0,1: 100:[4, 20] Operation: 1+19=20 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 100:[4, 20], Operations: ['95-76=19', '1+19=20'] Exploring Operation: 4+20=24, Resulting Numbers: [24] 24,100 unequal: No Solution Exploring Operation: 20/4=5, Resulting Numbers: [5] 5,100 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 100:[19, 5], Operations: ['95-76=19', '4+1=5'] Exploring Operation: 19+5=24, Resulting Numbers: [24] 24,100 unequal: No Solution Exploring Operation: 19-5=14, Resulting Numbers: [14] 14,100 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 100:[95, 1, 19], Operations: ['76/4=19'] Exploring Operation: 95+1=96, Resulting Numbers: [19, 96] Generated Node #0,1,0: 100:[19, 96] Operation: 95+1=96 Exploring Operation: 95/19=5, Resulting Numbers: [1, 5] Generated Node #0,1,1: 100:[1, 5] Operation: 95/19=5 Moving to Node #0,1,1 Current State: 100:[1, 5], Operations: ['76/4=19', '95/19=5'] Exploring Operation: 5-1=4, Resulting Numbers: [4] 4,100 unequal: No Solution Exploring Operation: 1*5=5, Resulting Numbers: [5] 5,100 unequal: No Solution Moving to Node #0,1,0 Current State: 100:[19, 96], Operations: ['76/4=19', '95+1=96'] Exploring Operation: 96-19=77, Resulting Numbers: [77] 77,100 unequal: No Solution Exploring Operation: 19+96=115, Resulting Numbers: [115] 115,100 unequal: No Solution No solution found.
0
hs_2
mult_heuristic
[ 34, 90, 17, 63 ]
18
[ "34/17=2", "90/2=45", "63-45=18" ]
Current State: 18:[34, 90, 17, 63], Operations: [] Exploring Operation: 34/17=2, Resulting Numbers: [90, 63, 2] Generated Node #2: [90, 63, 2] from Operation: 34/17=2 Current State: 18:[90, 63, 2], Operations: ['34/17=2'] Exploring Operation: 90/2=45, Resulting Numbers: [63, 45] Generated Node #3: [63, 45] from Operation: 90/2=45 Current State: 18:[63, 45], Operations: ['34/17=2', '90/2=45'] Exploring Operation: 63-45=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
Current State: 18:[34, 90, 17, 63], Operations: [] Exploring Operation: 90-34=56, Resulting Numbers: [17, 63, 56] Generated Node #0,0: 18:[17, 63, 56] Operation: 90-34=56 Exploring Operation: 90-63=27, Resulting Numbers: [34, 17, 27] Generated Node #0,1: 18:[34, 17, 27] Operation: 90-63=27 Start Sub Search at level 1: Moving to Node #0,1 Current State: 18:[34, 17, 27], Operations: ['90-63=27'] Exploring Operation: 34/17=2, Resulting Numbers: [27, 2] Generated Node #0,1,0: 18:[27, 2] Operation: 34/17=2 Exploring Operation: 34-27=7, Resulting Numbers: [17, 7] Generated Node #0,1,1: 18:[17, 7] Operation: 34-27=7 Moving to Node #0,1,1 Current State: 18:[17, 7], Operations: ['90-63=27', '34-27=7'] Exploring Operation: 17-7=10, Resulting Numbers: [10] 10,18 unequal: No Solution Exploring Operation: 17+7=24, Resulting Numbers: [24] 24,18 unequal: No Solution Moving to Node #0,1,0 Current State: 18:[27, 2], Operations: ['90-63=27', '34/17=2'] Exploring Operation: 27-2=25, Resulting Numbers: [25] 25,18 unequal: No Solution Exploring Operation: 27+2=29, Resulting Numbers: [29] 29,18 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 18:[17, 63, 56], Operations: ['90-34=56'] Exploring Operation: 63-17=46, Resulting Numbers: [56, 46] Generated Node #0,0,0: 18:[56, 46] Operation: 63-17=46 Exploring Operation: 63-56=7, Resulting Numbers: [17, 7] Generated Node #0,0,1: 18:[17, 7] Operation: 63-56=7 Moving to Node #0,0,1 Current State: 18:[17, 7], Operations: ['90-34=56', '63-56=7'] Exploring Operation: 17-7=10, Resulting Numbers: [10] 10,18 unequal: No Solution Exploring Operation: 17+7=24, Resulting Numbers: [24] 24,18 unequal: No Solution Moving to Node #0,0,0 Current State: 18:[56, 46], Operations: ['90-34=56', '63-17=46'] Exploring Operation: 56-46=10, Resulting Numbers: [10] 10,18 unequal: No Solution Exploring Operation: 56+46=102, Resulting Numbers: [102] 102,18 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
sum_heuristic
[ 91, 48, 22, 10 ]
87
[ "22-10=12", "48/12=4", "91-4=87" ]
Current State: 87:[91, 48, 22, 10], Operations: [] Exploring Operation: 22-10=12, Resulting Numbers: [91, 48, 12] Generated Node #2: [91, 48, 12] from Operation: 22-10=12 Current State: 87:[91, 48, 12], Operations: ['22-10=12'] Exploring Operation: 48/12=4, Resulting Numbers: [91, 4] Generated Node #3: [91, 4] from Operation: 48/12=4 Current State: 87:[91, 4], Operations: ['22-10=12', '48/12=4'] Exploring Operation: 91-4=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
Current State: 87:[91, 48, 22, 10], Operations: [] Exploring Operation: 48+22=70, Resulting Numbers: [91, 10, 70] Generated Node #0,0: 87:[91, 10, 70] Operation: 48+22=70 Exploring Operation: 48-22=26, Resulting Numbers: [91, 10, 26] Generated Node #0,1: 87:[91, 10, 26] Operation: 48-22=26 Exploring Operation: 22+10=32, Resulting Numbers: [91, 48, 32] Generated Node #0,2: 87:[91, 48, 32] Operation: 22+10=32 Exploring Operation: 91-48=43, Resulting Numbers: [22, 10, 43] Generated Node #0,3: 87:[22, 10, 43] Operation: 91-48=43 Exploring Operation: 48-10=38, Resulting Numbers: [91, 22, 38] Generated Node #0,4: 87:[91, 22, 38] Operation: 48-10=38 Moving to Node #0,1 Current State: 87:[91, 10, 26], Operations: ['48-22=26'] Exploring Operation: 91-26=65, Resulting Numbers: [10, 65] Generated Node #0,1,0: 87:[10, 65] Operation: 91-26=65 Exploring Operation: 91+10=101, Resulting Numbers: [26, 101] Generated Node #0,1,1: 87:[26, 101] Operation: 91+10=101 Exploring Operation: 10+26=36, Resulting Numbers: [91, 36] Generated Node #0,1,2: 87:[91, 36] Operation: 10+26=36 Exploring Operation: 26-10=16, Resulting Numbers: [91, 16] Generated Node #0,1,3: 87:[91, 16] Operation: 26-10=16 Exploring Operation: 91-10=81, Resulting Numbers: [26, 81] Generated Node #0,1,4: 87:[26, 81] Operation: 91-10=81 Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 87:[26, 81], Operations: ['48-22=26', '91-10=81'] Exploring Operation: 26*81=2106, Resulting Numbers: [2106] 2106,87 unequal: No Solution Exploring Operation: 26+81=107, Resulting Numbers: [107] 107,87 unequal: No Solution Exploring Operation: 81-26=55, Resulting Numbers: [55] 55,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 87:[91, 36], Operations: ['48-22=26', '10+26=36'] Exploring Operation: 91+36=127, Resulting Numbers: [127] 127,87 unequal: No Solution Exploring Operation: 91-36=55, Resulting Numbers: [55] 55,87 unequal: No Solution Exploring Operation: 91*36=3276, Resulting Numbers: [3276] 3276,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 87:[26, 101], Operations: ['48-22=26', '91+10=101'] Exploring Operation: 101-26=75, Resulting Numbers: [75] 75,87 unequal: No Solution Exploring Operation: 26+101=127, Resulting Numbers: [127] 127,87 unequal: No Solution Exploring Operation: 26*101=2626, Resulting Numbers: [2626] 2626,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 87:[91, 16], Operations: ['48-22=26', '26-10=16'] Exploring Operation: 91*16=1456, Resulting Numbers: [1456] 1456,87 unequal: No Solution Exploring Operation: 91+16=107, Resulting Numbers: [107] 107,87 unequal: No Solution Exploring Operation: 91-16=75, Resulting Numbers: [75] 75,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 87:[10, 65], Operations: ['48-22=26', '91-26=65'] Exploring Operation: 10*65=650, Resulting Numbers: [650] 650,87 unequal: No Solution Exploring Operation: 65-10=55, Resulting Numbers: [55] 55,87 unequal: No Solution Exploring Operation: 10+65=75, Resulting Numbers: [75] 75,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,4 Current State: 87:[91, 22, 38], Operations: ['48-10=38'] Exploring Operation: 91-38=53, Resulting Numbers: [22, 53] Generated Node #0,4,0: 87:[22, 53] Operation: 91-38=53 Exploring Operation: 22+38=60, Resulting Numbers: [91, 60] Generated Node #0,4,1: 87:[91, 60] Operation: 22+38=60 Exploring Operation: 91-22=69, Resulting Numbers: [38, 69] Generated Node #0,4,2: 87:[38, 69] Operation: 91-22=69 Exploring Operation: 91+22=113, Resulting Numbers: [38, 113] Generated Node #0,4,3: 87:[38, 113] Operation: 91+22=113 Exploring Operation: 38-22=16, Resulting Numbers: [91, 16] Generated Node #0,4,4: 87:[91, 16] Operation: 38-22=16 Moving to Node #0,2 Current State: 87:[91, 48, 32], Operations: ['22+10=32'] Exploring Operation: 91+48=139, Resulting Numbers: [32, 139] Generated Node #0,2,0: 87:[32, 139] Operation: 91+48=139 Exploring Operation: 48-32=16, Resulting Numbers: [91, 16] Generated Node #0,2,1: 87:[91, 16] Operation: 48-32=16 Exploring Operation: 91-32=59, Resulting Numbers: [48, 59] Generated Node #0,2,2: 87:[48, 59] Operation: 91-32=59 Exploring Operation: 48+32=80, Resulting Numbers: [91, 80] Generated Node #0,2,3: 87:[91, 80] Operation: 48+32=80 Exploring Operation: 91-48=43, Resulting Numbers: [32, 43] Generated Node #0,2,4: 87:[32, 43] Operation: 91-48=43 Moving to Node #0,0 Current State: 87:[91, 10, 70], Operations: ['48+22=70'] Exploring Operation: 91-70=21, Resulting Numbers: [10, 21] Generated Node #0,0,0: 87:[10, 21] Operation: 91-70=21 Exploring Operation: 91+10=101, Resulting Numbers: [70, 101] Generated Node #0,0,1: 87:[70, 101] Operation: 91+10=101 Exploring Operation: 91-10=81, Resulting Numbers: [70, 81] Generated Node #0,0,2: 87:[70, 81] Operation: 91-10=81 Exploring Operation: 10+70=80, Resulting Numbers: [91, 80] Generated Node #0,0,3: 87:[91, 80] Operation: 10+70=80 Exploring Operation: 70/10=7, Resulting Numbers: [91, 7] Generated Node #0,0,4: 87:[91, 7] Operation: 70/10=7 Moving to Node #0,3 Current State: 87:[22, 10, 43], Operations: ['91-48=43'] Exploring Operation: 43-10=33, Resulting Numbers: [22, 33] Generated Node #0,3,0: 87:[22, 33] Operation: 43-10=33 Exploring Operation: 22+43=65, Resulting Numbers: [10, 65] Generated Node #0,3,1: 87:[10, 65] Operation: 22+43=65 Exploring Operation: 22-10=12, Resulting Numbers: [43, 12] Generated Node #0,3,2: 87:[43, 12] Operation: 22-10=12 Exploring Operation: 22+10=32, Resulting Numbers: [43, 32] Generated Node #0,3,3: 87:[43, 32] Operation: 22+10=32 Exploring Operation: 43-22=21, Resulting Numbers: [10, 21] Generated Node #0,3,4: 87:[10, 21] Operation: 43-22=21 Moving to Node #0,0,4 Current State: 87:[91, 7], Operations: ['48+22=70', '70/10=7'] Exploring Operation: 91*7=637, Resulting Numbers: [637] 637,87 unequal: No Solution Exploring Operation: 91-7=84, Resulting Numbers: [84] 84,87 unequal: No Solution Exploring Operation: 91+7=98, Resulting Numbers: [98] 98,87 unequal: No Solution Exploring Operation: 91/7=13, Resulting Numbers: [13] 13,87 unequal: No Solution Moving to Node #0,0,3 Current State: 87:[91, 80], Operations: ['48+22=70', '10+70=80'] Exploring Operation: 91*80=7280, Resulting Numbers: [7280] 7280,87 unequal: No Solution Exploring Operation: 91-80=11, Resulting Numbers: [11] 11,87 unequal: No Solution Exploring Operation: 91+80=171, Resulting Numbers: [171] 171,87 unequal: No Solution Moving to Node #0,2,3 Current State: 87:[91, 80], Operations: ['22+10=32', '48+32=80'] Exploring Operation: 91+80=171, Resulting Numbers: [171] 171,87 unequal: No Solution Exploring Operation: 91-80=11, Resulting Numbers: [11] 11,87 unequal: No Solution Exploring Operation: 91*80=7280, Resulting Numbers: [7280] 7280,87 unequal: No Solution Moving to Node #0,3,0 Current State: 87:[22, 33], Operations: ['91-48=43', '43-10=33'] Exploring Operation: 33-22=11, Resulting Numbers: [11] 11,87 unequal: No Solution Exploring Operation: 22+33=55, Resulting Numbers: [55] 55,87 unequal: No Solution Exploring Operation: 22*33=726, Resulting Numbers: [726] 726,87 unequal: No Solution Moving to Node #0,0,0 Current State: 87:[10, 21], Operations: ['48+22=70', '91-70=21'] Exploring Operation: 10*21=210, Resulting Numbers: [210] 210,87 unequal: No Solution Exploring Operation: 10+21=31, Resulting Numbers: [31] 31,87 unequal: No Solution Exploring Operation: 21-10=11, Resulting Numbers: [11] 11,87 unequal: No Solution Moving to Node #0,3,4 Current State: 87:[10, 21], Operations: ['91-48=43', '43-22=21'] Exploring Operation: 21-10=11, Resulting Numbers: [11] 11,87 unequal: No Solution Exploring Operation: 10*21=210, Resulting Numbers: [210] 210,87 unequal: No Solution Exploring Operation: 10+21=31, Resulting Numbers: [31] 31,87 unequal: No Solution Moving to Node #0,2,1 Current State: 87:[91, 16], Operations: ['22+10=32', '48-32=16'] Exploring Operation: 91-16=75, Resulting Numbers: [75] 75,87 unequal: No Solution Exploring Operation: 91+16=107, Resulting Numbers: [107] 107,87 unequal: No Solution Exploring Operation: 91*16=1456, Resulting Numbers: [1456] 1456,87 unequal: No Solution Moving to Node #0,4,4 Current State: 87:[91, 16], Operations: ['48-10=38', '38-22=16'] Exploring Operation: 91+16=107, Resulting Numbers: [107] 107,87 unequal: No Solution Exploring Operation: 91*16=1456, Resulting Numbers: [1456] 1456,87 unequal: No Solution Exploring Operation: 91-16=75, Resulting Numbers: [75] 75,87 unequal: No Solution Moving to Node #0,2,4 Current State: 87:[32, 43], Operations: ['22+10=32', '91-48=43'] Exploring Operation: 32*43=1376, Resulting Numbers: [1376] 1376,87 unequal: No Solution Exploring Operation: 43-32=11, Resulting Numbers: [11] 11,87 unequal: No Solution Exploring Operation: 32+43=75, Resulting Numbers: [75] 75,87 unequal: No Solution Moving to Node #0,3,3 Current State: 87:[43, 32], Operations: ['91-48=43', '22+10=32'] Exploring Operation: 43+32=75, Resulting Numbers: [75] 75,87 unequal: No Solution Exploring Operation: 43-32=11, Resulting Numbers: [11] 11,87 unequal: No Solution Exploring Operation: 43*32=1376, Resulting Numbers: [1376] 1376,87 unequal: No Solution Moving to Node #0,0,2 Current State: 87:[70, 81], Operations: ['48+22=70', '91-10=81'] Exploring Operation: 70+81=151, Resulting Numbers: [151] 151,87 unequal: No Solution Exploring Operation: 81-70=11, Resulting Numbers: [11] 11,87 unequal: No Solution Exploring Operation: 70*81=5670, Resulting Numbers: [5670] 5670,87 unequal: No Solution Moving to Node #0,3,2 Current State: 87:[43, 12], Operations: ['91-48=43', '22-10=12'] Exploring Operation: 43-12=31, Resulting Numbers: [31] 31,87 unequal: No Solution Exploring Operation: 43+12=55, Resulting Numbers: [55] 55,87 unequal: No Solution Exploring Operation: 43*12=516, Resulting Numbers: [516] 516,87 unequal: No Solution Moving to Node #0,4,2 Current State: 87:[38, 69], Operations: ['48-10=38', '91-22=69'] Exploring Operation: 69-38=31, Resulting Numbers: [31] 31,87 unequal: No Solution Exploring Operation: 38+69=107, Resulting Numbers: [107] 107,87 unequal: No Solution Exploring Operation: 38*69=2622, Resulting Numbers: [2622] 2622,87 unequal: No Solution Moving to Node #0,3,1 Current State: 87:[10, 65], Operations: ['91-48=43', '22+43=65'] Exploring Operation: 65-10=55, Resulting Numbers: [55] 55,87 unequal: No Solution Exploring Operation: 10+65=75, Resulting Numbers: [75] 75,87 unequal: No Solution Exploring Operation: 10*65=650, Resulting Numbers: [650] 650,87 unequal: No Solution Moving to Node #0,4,0 Current State: 87:[22, 53], Operations: ['48-10=38', '91-38=53'] Exploring Operation: 53-22=31, Resulting Numbers: [31] 31,87 unequal: No Solution Exploring Operation: 22+53=75, Resulting Numbers: [75] 75,87 unequal: No Solution Exploring Operation: 22*53=1166, Resulting Numbers: [1166] 1166,87 unequal: No Solution Moving to Node #0,4,1 Current State: 87:[91, 60], Operations: ['48-10=38', '22+38=60'] Exploring Operation: 91*60=5460, Resulting Numbers: [5460] 5460,87 unequal: No Solution Exploring Operation: 91+60=151, Resulting Numbers: [151] 151,87 unequal: No Solution Exploring Operation: 91-60=31, Resulting Numbers: [31] 31,87 unequal: No Solution Moving to Node #0,0,1 Current State: 87:[70, 101], Operations: ['48+22=70', '91+10=101'] Exploring Operation: 70*101=7070, Resulting Numbers: [7070] 7070,87 unequal: No Solution Exploring Operation: 70+101=171, Resulting Numbers: [171] 171,87 unequal: No Solution Exploring Operation: 101-70=31, Resulting Numbers: [31] 31,87 unequal: No Solution Moving to Node #0,4,3 Current State: 87:[38, 113], Operations: ['48-10=38', '91+22=113'] Exploring Operation: 113-38=75, Resulting Numbers: [75] 75,87 unequal: No Solution Exploring Operation: 38*113=4294, Resulting Numbers: [4294] 4294,87 unequal: No Solution Exploring Operation: 38+113=151, Resulting Numbers: [151] 151,87 unequal: No Solution Moving to Node #0,2,2 Current State: 87:[48, 59], Operations: ['22+10=32', '91-32=59'] Exploring Operation: 48+59=107, Resulting Numbers: [107] 107,87 unequal: No Solution Exploring Operation: 59-48=11, Resulting Numbers: [11] 11,87 unequal: No Solution Exploring Operation: 48*59=2832, Resulting Numbers: [2832] 2832,87 unequal: No Solution Moving to Node #0,2,0 Current State: 87:[32, 139], Operations: ['22+10=32', '91+48=139'] Exploring Operation: 32*139=4448, Resulting Numbers: [4448] 4448,87 unequal: No Solution Exploring Operation: 139-32=107, Resulting Numbers: [107] 107,87 unequal: No Solution Exploring Operation: 32+139=171, Resulting Numbers: [171] 171,87 unequal: No Solution No solution found.
0
hs_5
sum_heuristic
[ 65, 64, 74, 4 ]
59
[ "65+64=129", "74-4=70", "129-70=59" ]
Current State: 59:[65, 64, 74, 4], Operations: [] Exploring Operation: 65+64=129, Resulting Numbers: [74, 4, 129] Generated Node #2: [74, 4, 129] from Operation: 65+64=129 Current State: 59:[74, 4, 129], Operations: ['65+64=129'] Exploring Operation: 74-4=70, Resulting Numbers: [129, 70] Generated Node #3: [129, 70] from Operation: 74-4=70 Current State: 59:[129, 70], Operations: ['65+64=129', '74-4=70'] Exploring Operation: 129-70=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
Current State: 59:[65, 64, 74, 4], Operations: [] Exploring Operation: 65-4=61, Resulting Numbers: [64, 74, 61] Generated Node #0,0: 59:[64, 74, 61] Operation: 65-4=61 Start Sub Search at level 1: Moving to Node #0,0 Current State: 59:[64, 74, 61], Operations: ['65-4=61'] Exploring Operation: 74-64=10, Resulting Numbers: [61, 10] Generated Node #0,0,0: 59:[61, 10] Operation: 74-64=10 Moving to Node #0,0,0 Current State: 59:[61, 10], Operations: ['65-4=61', '74-64=10'] Exploring Operation: 61-10=51, Resulting Numbers: [51] 51,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
mult_heuristic
[ 85, 3, 49, 87 ]
41
[ "85-49=36", "87+36=123", "123/3=41" ]
Current State: 41:[85, 3, 49, 87], Operations: [] Exploring Operation: 85-49=36, Resulting Numbers: [3, 87, 36] Generated Node #2: [3, 87, 36] from Operation: 85-49=36 Current State: 41:[3, 87, 36], Operations: ['85-49=36'] Exploring Operation: 87+36=123, Resulting Numbers: [3, 123] Generated Node #3: [3, 123] from Operation: 87+36=123 Current State: 41:[3, 123], Operations: ['85-49=36', '87+36=123'] Exploring Operation: 123/3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
Current State: 41:[85, 3, 49, 87], Operations: [] Exploring Operation: 87-49=38, Resulting Numbers: [85, 3, 38] Generated Node #0,0: 41:[85, 3, 38] Operation: 87-49=38 Exploring Operation: 87/3=29, Resulting Numbers: [85, 49, 29] Generated Node #0,1: 41:[85, 49, 29] Operation: 87/3=29 Exploring Operation: 85-3=82, Resulting Numbers: [49, 87, 82] Generated Node #0,2: 41:[49, 87, 82] Operation: 85-3=82 Exploring Operation: 87-85=2, Resulting Numbers: [3, 49, 2] Generated Node #0,3: 41:[3, 49, 2] Operation: 87-85=2 Exploring Operation: 85-49=36, Resulting Numbers: [3, 87, 36] Generated Node #0,4: 41:[3, 87, 36] Operation: 85-49=36 Moving to Node #0,1 Current State: 41:[85, 49, 29], Operations: ['87/3=29'] Exploring Operation: 85-49=36, Resulting Numbers: [29, 36] Generated Node #0,1,0: 41:[29, 36] Operation: 85-49=36 Exploring Operation: 49-29=20, Resulting Numbers: [85, 20] Generated Node #0,1,1: 41:[85, 20] Operation: 49-29=20 Exploring Operation: 49+29=78, Resulting Numbers: [85, 78] Generated Node #0,1,2: 41:[85, 78] Operation: 49+29=78 Exploring Operation: 85+29=114, Resulting Numbers: [49, 114] Generated Node #0,1,3: 41:[49, 114] Operation: 85+29=114 Exploring Operation: 85-29=56, Resulting Numbers: [49, 56] Generated Node #0,1,4: 41:[49, 56] Operation: 85-29=56 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 41:[29, 36], Operations: ['87/3=29', '85-49=36'] Exploring Operation: 36-29=7, Resulting Numbers: [7] 7,41 unequal: No Solution Exploring Operation: 29*36=1044, Resulting Numbers: [1044] 1044,41 unequal: No Solution Exploring Operation: 29+36=65, Resulting Numbers: [65] 65,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 41:[49, 56], Operations: ['87/3=29', '85-29=56'] Exploring Operation: 56-49=7, Resulting Numbers: [7] 7,41 unequal: No Solution Exploring Operation: 49*56=2744, Resulting Numbers: [2744] 2744,41 unequal: No Solution Exploring Operation: 49+56=105, Resulting Numbers: [105] 105,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 41:[85, 20], Operations: ['87/3=29', '49-29=20'] Exploring Operation: 85*20=1700, Resulting Numbers: [1700] 1700,41 unequal: No Solution Exploring Operation: 85+20=105, Resulting Numbers: [105] 105,41 unequal: No Solution Exploring Operation: 85-20=65, Resulting Numbers: [65] 65,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 41:[85, 78], Operations: ['87/3=29', '49+29=78'] Exploring Operation: 85*78=6630, Resulting Numbers: [6630] 6630,41 unequal: No Solution Exploring Operation: 85+78=163, Resulting Numbers: [163] 163,41 unequal: No Solution Exploring Operation: 85-78=7, Resulting Numbers: [7] 7,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 41:[49, 114], Operations: ['87/3=29', '85+29=114'] Exploring Operation: 114-49=65, Resulting Numbers: [65] 65,41 unequal: No Solution Exploring Operation: 49+114=163, Resulting Numbers: [163] 163,41 unequal: No Solution Exploring Operation: 49*114=5586, Resulting Numbers: [5586] 5586,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 41:[3, 49, 2], Operations: ['87-85=2'] Exploring Operation: 3-2=1, Resulting Numbers: [49, 1] Generated Node #0,3,0: 41:[49, 1] Operation: 3-2=1 Exploring Operation: 49-2=47, Resulting Numbers: [3, 47] Generated Node #0,3,1: 41:[3, 47] Operation: 49-2=47 Exploring Operation: 49-3=46, Resulting Numbers: [2, 46] Generated Node #0,3,2: 41:[2, 46] Operation: 49-3=46 Exploring Operation: 3+2=5, Resulting Numbers: [49, 5] Generated Node #0,3,3: 41:[49, 5] Operation: 3+2=5 Exploring Operation: 3*2=6, Resulting Numbers: [49, 6] Generated Node #0,3,4: 41:[49, 6] Operation: 3*2=6 Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 41:[49, 6], Operations: ['87-85=2', '3*2=6'] Exploring Operation: 49+6=55, Resulting Numbers: [55] 55,41 unequal: No Solution Exploring Operation: 49*6=294, Resulting Numbers: [294] 294,41 unequal: No Solution Exploring Operation: 49-6=43, Resulting Numbers: [43] 43,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 41:[3, 47], Operations: ['87-85=2', '49-2=47'] Exploring Operation: 3+47=50, Resulting Numbers: [50] 50,41 unequal: No Solution Exploring Operation: 47-3=44, Resulting Numbers: [44] 44,41 unequal: No Solution Exploring Operation: 3*47=141, Resulting Numbers: [141] 141,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 41:[2, 46], Operations: ['87-85=2', '49-3=46'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,41 unequal: No Solution Exploring Operation: 46-2=44, Resulting Numbers: [44] 44,41 unequal: No Solution Exploring Operation: 2+46=48, Resulting Numbers: [48] 48,41 unequal: No Solution Exploring Operation: 2*46=92, Resulting Numbers: [92] 92,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 41:[49, 5], Operations: ['87-85=2', '3+2=5'] Exploring Operation: 49+5=54, Resulting Numbers: [54] 54,41 unequal: No Solution Exploring Operation: 49-5=44, Resulting Numbers: [44] 44,41 unequal: No Solution Exploring Operation: 49*5=245, Resulting Numbers: [245] 245,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 41:[49, 1], Operations: ['87-85=2', '3-2=1'] Exploring Operation: 49/1=49, Resulting Numbers: [49] 49,41 unequal: No Solution Exploring Operation: 49*1=49, Resulting Numbers: [49] 49,41 unequal: No Solution Exploring Operation: 49+1=50, Resulting Numbers: [50] 50,41 unequal: No Solution Exploring Operation: 49-1=48, Resulting Numbers: [48] 48,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 41:[85, 3, 38], Operations: ['87-49=38'] Exploring Operation: 38-3=35, Resulting Numbers: [85, 35] Generated Node #0,0,0: 41:[85, 35] Operation: 38-3=35 Exploring Operation: 85-3=82, Resulting Numbers: [38, 82] Generated Node #0,0,1: 41:[38, 82] Operation: 85-3=82 Exploring Operation: 85-38=47, Resulting Numbers: [3, 47] Generated Node #0,0,2: 41:[3, 47] Operation: 85-38=47 Exploring Operation: 85+3=88, Resulting Numbers: [38, 88] Generated Node #0,0,3: 41:[38, 88] Operation: 85+3=88 Exploring Operation: 3+38=41, Resulting Numbers: [85, 41] Generated Node #0,0,4: 41:[85, 41] Operation: 3+38=41 Moving to Node #0,4 Current State: 41:[3, 87, 36], Operations: ['85-49=36'] Exploring Operation: 3+36=39, Resulting Numbers: [87, 39] Generated Node #0,4,0: 41:[87, 39] Operation: 3+36=39 Exploring Operation: 3+87=90, Resulting Numbers: [36, 90] Generated Node #0,4,1: 41:[36, 90] Operation: 3+87=90 Exploring Operation: 87-3=84, Resulting Numbers: [36, 84] Generated Node #0,4,2: 41:[36, 84] Operation: 87-3=84 Exploring Operation: 87/3=29, Resulting Numbers: [36, 29] Generated Node #0,4,3: 41:[36, 29] Operation: 87/3=29 Exploring Operation: 87-36=51, Resulting Numbers: [3, 51] Generated Node #0,4,4: 41:[3, 51] Operation: 87-36=51 Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 41:[36, 29], Operations: ['85-49=36', '87/3=29'] Exploring Operation: 36*29=1044, Resulting Numbers: [1044] 1044,41 unequal: No Solution Exploring Operation: 36+29=65, Resulting Numbers: [65] 65,41 unequal: No Solution Exploring Operation: 36-29=7, Resulting Numbers: [7] 7,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 41:[87, 39], Operations: ['85-49=36', '3+36=39'] Exploring Operation: 87+39=126, Resulting Numbers: [126] 126,41 unequal: No Solution Exploring Operation: 87-39=48, Resulting Numbers: [48] 48,41 unequal: No Solution Exploring Operation: 87*39=3393, Resulting Numbers: [3393] 3393,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 41:[36, 84], Operations: ['85-49=36', '87-3=84'] Exploring Operation: 36*84=3024, Resulting Numbers: [3024] 3024,41 unequal: No Solution Exploring Operation: 84-36=48, Resulting Numbers: [48] 48,41 unequal: No Solution Exploring Operation: 36+84=120, Resulting Numbers: [120] 120,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 41:[3, 51], Operations: ['85-49=36', '87-36=51'] Exploring Operation: 3*51=153, Resulting Numbers: [153] 153,41 unequal: No Solution Exploring Operation: 51/3=17, Resulting Numbers: [17] 17,41 unequal: No Solution Exploring Operation: 51-3=48, Resulting Numbers: [48] 48,41 unequal: No Solution Exploring Operation: 3+51=54, Resulting Numbers: [54] 54,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 41:[36, 90], Operations: ['85-49=36', '3+87=90'] Exploring Operation: 90-36=54, Resulting Numbers: [54] 54,41 unequal: No Solution Exploring Operation: 36*90=3240, Resulting Numbers: [3240] 3240,41 unequal: No Solution Exploring Operation: 36+90=126, Resulting Numbers: [126] 126,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 41:[49, 87, 82], Operations: ['85-3=82'] Exploring Operation: 82-49=33, Resulting Numbers: [87, 33] Generated Node #0,2,0: 41:[87, 33] Operation: 82-49=33 Exploring Operation: 49+82=131, Resulting Numbers: [87, 131] Generated Node #0,2,1: 41:[87, 131] Operation: 49+82=131 Exploring Operation: 87-49=38, Resulting Numbers: [82, 38] Generated Node #0,2,2: 41:[82, 38] Operation: 87-49=38 Exploring Operation: 87-82=5, Resulting Numbers: [49, 5] Generated Node #0,2,3: 41:[49, 5] Operation: 87-82=5 Exploring Operation: 49+87=136, Resulting Numbers: [82, 136] Generated Node #0,2,4: 41:[82, 136] Operation: 49+87=136 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 41:[82, 38], Operations: ['85-3=82', '87-49=38'] Exploring Operation: 82*38=3116, Resulting Numbers: [3116] 3116,41 unequal: No Solution Exploring Operation: 82+38=120, Resulting Numbers: [120] 120,41 unequal: No Solution Exploring Operation: 82-38=44, Resulting Numbers: [44] 44,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 41:[49, 5], Operations: ['85-3=82', '87-82=5'] Exploring Operation: 49*5=245, Resulting Numbers: [245] 245,41 unequal: No Solution Exploring Operation: 49+5=54, Resulting Numbers: [54] 54,41 unequal: No Solution Exploring Operation: 49-5=44, Resulting Numbers: [44] 44,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 41:[87, 33], Operations: ['85-3=82', '82-49=33'] Exploring Operation: 87*33=2871, Resulting Numbers: [2871] 2871,41 unequal: No Solution Exploring Operation: 87+33=120, Resulting Numbers: [120] 120,41 unequal: No Solution Exploring Operation: 87-33=54, Resulting Numbers: [54] 54,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 41:[87, 131], Operations: ['85-3=82', '49+82=131'] Exploring Operation: 131-87=44, Resulting Numbers: [44] 44,41 unequal: No Solution Exploring Operation: 87+131=218, Resulting Numbers: [218] 218,41 unequal: No Solution Exploring Operation: 87*131=11397, Resulting Numbers: [11397] 11397,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 41:[82, 136], Operations: ['85-3=82', '49+87=136'] Exploring Operation: 82*136=11152, Resulting Numbers: [11152] 11152,41 unequal: No Solution Exploring Operation: 82+136=218, Resulting Numbers: [218] 218,41 unequal: No Solution Exploring Operation: 136-82=54, Resulting Numbers: [54] 54,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0,1 Current State: 41:[38, 82], Operations: ['87-49=38', '85-3=82'] Exploring Operation: 82-38=44, Resulting Numbers: [44] 44,41 unequal: No Solution Exploring Operation: 38*82=3116, Resulting Numbers: [3116] 3116,41 unequal: No Solution Exploring Operation: 38+82=120, Resulting Numbers: [120] 120,41 unequal: No Solution Moving to Node #0,0,4 Current State: 41:[85, 41], Operations: ['87-49=38', '3+38=41'] Exploring Operation: 85+41=126, Resulting Numbers: [126] 126,41 unequal: No Solution Exploring Operation: 85-41=44, Resulting Numbers: [44] 44,41 unequal: No Solution Exploring Operation: 85*41=3485, Resulting Numbers: [3485] 3485,41 unequal: No Solution Moving to Node #0,0,2 Current State: 41:[3, 47], Operations: ['87-49=38', '85-38=47'] Exploring Operation: 3*47=141, Resulting Numbers: [141] 141,41 unequal: No Solution Exploring Operation: 3+47=50, Resulting Numbers: [50] 50,41 unequal: No Solution Exploring Operation: 47-3=44, Resulting Numbers: [44] 44,41 unequal: No Solution Moving to Node #0,0,0 Current State: 41:[85, 35], Operations: ['87-49=38', '38-3=35'] Exploring Operation: 85+35=120, Resulting Numbers: [120] 120,41 unequal: No Solution Exploring Operation: 85*35=2975, Resulting Numbers: [2975] 2975,41 unequal: No Solution Exploring Operation: 85-35=50, Resulting Numbers: [50] 50,41 unequal: No Solution Moving to Node #0,0,3 Current State: 41:[38, 88], Operations: ['87-49=38', '85+3=88'] Exploring Operation: 38+88=126, Resulting Numbers: [126] 126,41 unequal: No Solution Exploring Operation: 38*88=3344, Resulting Numbers: [3344] 3344,41 unequal: No Solution Exploring Operation: 88-38=50, Resulting Numbers: [50] 50,41 unequal: No Solution No solution found.
0
hs_5
mult_heuristic
[ 32, 87, 29, 62 ]
97
[ "32+62=94", "87/29=3", "94+3=97" ]
Current State: 97:[32, 87, 29, 62], Operations: [] Exploring Operation: 32+62=94, Resulting Numbers: [87, 29, 94] Generated Node #2: [87, 29, 94] from Operation: 32+62=94 Current State: 97:[87, 29, 94], Operations: ['32+62=94'] Exploring Operation: 87/29=3, Resulting Numbers: [94, 3] Generated Node #3: [94, 3] from Operation: 87/29=3 Current State: 97:[94, 3], Operations: ['32+62=94', '87/29=3'] Exploring Operation: 94+3=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
Current State: 97:[32, 87, 29, 62], Operations: [] Exploring Operation: 32+29=61, Resulting Numbers: [87, 62, 61] Generated Node #0,0: 97:[87, 62, 61] Operation: 32+29=61 Exploring Operation: 32+62=94, Resulting Numbers: [87, 29, 94] Generated Node #0,1: 97:[87, 29, 94] Operation: 32+62=94 Start Sub Search at level 1: Moving to Node #0,0 Current State: 97:[87, 62, 61], Operations: ['32+29=61'] Exploring Operation: 87+61=148, Resulting Numbers: [62, 148] Generated Node #0,0,0: 97:[62, 148] Operation: 87+61=148 Exploring Operation: 62+61=123, Resulting Numbers: [87, 123] Generated Node #0,0,1: 97:[87, 123] Operation: 62+61=123 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 97:[87, 123], Operations: ['32+29=61', '62+61=123'] Exploring Operation: 123-87=36, Resulting Numbers: [36] 36,97 unequal: No Solution Exploring Operation: 87+123=210, Resulting Numbers: [210] 210,97 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 97:[62, 148], Operations: ['32+29=61', '87+61=148'] Exploring Operation: 148-62=86, Resulting Numbers: [86] 86,97 unequal: No Solution Exploring Operation: 62+148=210, Resulting Numbers: [210] 210,97 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 97:[87, 29, 94], Operations: ['32+62=94'] Exploring Operation: 87+29=116, Resulting Numbers: [94, 116] Generated Node #0,1,0: 97:[94, 116] Operation: 87+29=116 Exploring Operation: 29+94=123, Resulting Numbers: [87, 123] Generated Node #0,1,1: 97:[87, 123] Operation: 29+94=123 Moving to Node #0,1,0 Current State: 97:[94, 116], Operations: ['32+62=94', '87+29=116'] Exploring Operation: 94+116=210, Resulting Numbers: [210] 210,97 unequal: No Solution Exploring Operation: 116-94=22, Resulting Numbers: [22] 22,97 unequal: No Solution Moving to Node #0,1,1 Current State: 97:[87, 123], Operations: ['32+62=94', '29+94=123'] Exploring Operation: 87+123=210, Resulting Numbers: [210] 210,97 unequal: No Solution Exploring Operation: 123-87=36, Resulting Numbers: [36] 36,97 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
sum_heuristic
[ 28, 56, 79, 8 ]
58
[ "79-28=51", "56/8=7", "51+7=58" ]
Current State: 58:[28, 56, 79, 8], Operations: [] Exploring Operation: 79-28=51, Resulting Numbers: [56, 8, 51] Generated Node #2: [56, 8, 51] from Operation: 79-28=51 Current State: 58:[56, 8, 51], Operations: ['79-28=51'] Exploring Operation: 56/8=7, Resulting Numbers: [51, 7] Generated Node #3: [51, 7] from Operation: 56/8=7 Current State: 58:[51, 7], Operations: ['79-28=51', '56/8=7'] Exploring Operation: 51+7=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
Current State: 58:[28, 56, 79, 8], Operations: [] Exploring Operation: 56/8=7, Resulting Numbers: [28, 79, 7] Generated Node #0,0: 58:[28, 79, 7] Operation: 56/8=7 Exploring Operation: 79-56=23, Resulting Numbers: [28, 8, 23] Generated Node #0,1: 58:[28, 8, 23] Operation: 79-56=23 Exploring Operation: 79-8=71, Resulting Numbers: [28, 56, 71] Generated Node #0,2: 58:[28, 56, 71] Operation: 79-8=71 Exploring Operation: 79-28=51, Resulting Numbers: [56, 8, 51] Generated Node #0,3: 58:[56, 8, 51] Operation: 79-28=51 Exploring Operation: 56/28=2, Resulting Numbers: [79, 8, 2] Generated Node #0,4: 58:[79, 8, 2] Operation: 56/28=2 Start Sub Search at level 1: Moving to Node #0,1 Current State: 58:[28, 8, 23], Operations: ['79-56=23'] Exploring Operation: 28+23=51, Resulting Numbers: [8, 51] Generated Node #0,1,0: 58:[8, 51] Operation: 28+23=51 Exploring Operation: 23-8=15, Resulting Numbers: [28, 15] Generated Node #0,1,1: 58:[28, 15] Operation: 23-8=15 Exploring Operation: 28-23=5, Resulting Numbers: [8, 5] Generated Node #0,1,2: 58:[8, 5] Operation: 28-23=5 Exploring Operation: 8+23=31, Resulting Numbers: [28, 31] Generated Node #0,1,3: 58:[28, 31] Operation: 8+23=31 Exploring Operation: 28+8=36, Resulting Numbers: [23, 36] Generated Node #0,1,4: 58:[23, 36] Operation: 28+8=36 Moving to Node #0,1,3 Current State: 58:[28, 31], Operations: ['79-56=23', '8+23=31'] Exploring Operation: 28+31=59, Resulting Numbers: [59] 59,58 unequal: No Solution Exploring Operation: 28*31=868, Resulting Numbers: [868] 868,58 unequal: No Solution Exploring Operation: 31-28=3, Resulting Numbers: [3] 3,58 unequal: No Solution Moving to Node #0,1,2 Current State: 58:[8, 5], Operations: ['79-56=23', '28-23=5'] Exploring Operation: 8-5=3, Resulting Numbers: [3] 3,58 unequal: No Solution Exploring Operation: 8*5=40, Resulting Numbers: [40] 40,58 unequal: No Solution Exploring Operation: 8+5=13, Resulting Numbers: [13] 13,58 unequal: No Solution Moving to Node #0,1,0 Current State: 58:[8, 51], Operations: ['79-56=23', '28+23=51'] Exploring Operation: 8*51=408, Resulting Numbers: [408] 408,58 unequal: No Solution Exploring Operation: 8+51=59, Resulting Numbers: [59] 59,58 unequal: No Solution Exploring Operation: 51-8=43, Resulting Numbers: [43] 43,58 unequal: No Solution Moving to Node #0,1,4 Current State: 58:[23, 36], Operations: ['79-56=23', '28+8=36'] Exploring Operation: 23+36=59, Resulting Numbers: [59] 59,58 unequal: No Solution Exploring Operation: 36-23=13, Resulting Numbers: [13] 13,58 unequal: No Solution Exploring Operation: 23*36=828, Resulting Numbers: [828] 828,58 unequal: No Solution Moving to Node #0,1,1 Current State: 58:[28, 15], Operations: ['79-56=23', '23-8=15'] Exploring Operation: 28+15=43, Resulting Numbers: [43] 43,58 unequal: No Solution Exploring Operation: 28*15=420, Resulting Numbers: [420] 420,58 unequal: No Solution Exploring Operation: 28-15=13, Resulting Numbers: [13] 13,58 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 58:[56, 8, 51], Operations: ['79-28=51'] Exploring Operation: 56+8=64, Resulting Numbers: [51, 64] Generated Node #0,3,0: 58:[51, 64] Operation: 56+8=64 Exploring Operation: 56/8=7, Resulting Numbers: [51, 7] Generated Node #0,3,1: 58:[51, 7] Operation: 56/8=7 Exploring Operation: 51-8=43, Resulting Numbers: [56, 43] Generated Node #0,3,2: 58:[56, 43] Operation: 51-8=43 Exploring Operation: 8+51=59, Resulting Numbers: [56, 59] Generated Node #0,3,3: 58:[56, 59] Operation: 8+51=59 Exploring Operation: 56-51=5, Resulting Numbers: [8, 5] Generated Node #0,3,4: 58:[8, 5] Operation: 56-51=5 Moving to Node #0,3,3 Current State: 58:[56, 59], Operations: ['79-28=51', '8+51=59'] Exploring Operation: 56+59=115, Resulting Numbers: [115] 115,58 unequal: No Solution Exploring Operation: 56*59=3304, Resulting Numbers: [3304] 3304,58 unequal: No Solution Exploring Operation: 59-56=3, Resulting Numbers: [3] 3,58 unequal: No Solution Moving to Node #0,3,4 Current State: 58:[8, 5], Operations: ['79-28=51', '56-51=5'] Exploring Operation: 8-5=3, Resulting Numbers: [3] 3,58 unequal: No Solution Exploring Operation: 8*5=40, Resulting Numbers: [40] 40,58 unequal: No Solution Exploring Operation: 8+5=13, Resulting Numbers: [13] 13,58 unequal: No Solution Moving to Node #0,3,1 Current State: 58:[51, 7], Operations: ['79-28=51', '56/8=7'] Exploring Operation: 51*7=357, Resulting Numbers: [357] 357,58 unequal: No Solution Exploring Operation: 51-7=44, Resulting Numbers: [44] 44,58 unequal: No Solution Exploring Operation: 51+7=58, Resulting Numbers: [58] 58,58 equal: Goal Reached Moving to Node #0 Current State: 58:[28, 56, 79, 8], Operations: [] Exploring Operation: 79-28=51, Resulting Numbers: [56, 8, 51] Generated Node #0,3: 58:[56, 8, 51] Operation: 79-28=51 Moving to Node #0,3 Current State: 58:[56, 8, 51], Operations: ['79-28=51'] Exploring Operation: 56/8=7, Resulting Numbers: [51, 7] Generated Node #0,3,1: 58:[51, 7] Operation: 56/8=7 Moving to Node #0,3,1 Current State: 58:[51, 7], Operations: ['79-28=51', '56/8=7'] Exploring Operation: 51+7=58, Resulting Numbers: [58] 58,58 equal: Goal Reached Exit Sub Search at level 1
0.962674
hs_5
mult_heuristic
[ 94, 20, 35, 77 ]
38
[ "94-20=74", "35+77=112", "112-74=38" ]
Current State: 38:[94, 20, 35, 77], Operations: [] Exploring Operation: 94-20=74, Resulting Numbers: [35, 77, 74] Generated Node #2: [35, 77, 74] from Operation: 94-20=74 Current State: 38:[35, 77, 74], Operations: ['94-20=74'] Exploring Operation: 35+77=112, Resulting Numbers: [74, 112] Generated Node #3: [74, 112] from Operation: 35+77=112 Current State: 38:[74, 112], Operations: ['94-20=74', '35+77=112'] Exploring Operation: 112-74=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
Current State: 38:[94, 20, 35, 77], Operations: [] Exploring Operation: 94-77=17, Resulting Numbers: [20, 35, 17] Generated Node #0,0: 38:[20, 35, 17] Operation: 94-77=17 Exploring Operation: 94-35=59, Resulting Numbers: [20, 77, 59] Generated Node #0,1: 38:[20, 77, 59] Operation: 94-35=59 Start Sub Search at level 1: Moving to Node #0,0 Current State: 38:[20, 35, 17], Operations: ['94-77=17'] Exploring Operation: 20+17=37, Resulting Numbers: [35, 37] Generated Node #0,0,0: 38:[35, 37] Operation: 20+17=37 Exploring Operation: 35-17=18, Resulting Numbers: [20, 18] Generated Node #0,0,1: 38:[20, 18] Operation: 35-17=18 Moving to Node #0,0,1 Current State: 38:[20, 18], Operations: ['94-77=17', '35-17=18'] Exploring Operation: 20+18=38, Resulting Numbers: [38] 38,38 equal: Goal Reached Moving to Node #0 Current State: 38:[94, 20, 35, 77], Operations: [] Exploring Operation: 94-77=17, Resulting Numbers: [20, 35, 17] Generated Node #0,0: 38:[20, 35, 17] Operation: 94-77=17 Moving to Node #0,0 Current State: 38:[20, 35, 17], Operations: ['94-77=17'] Exploring Operation: 35-17=18, Resulting Numbers: [20, 18] Generated Node #0,0,1: 38:[20, 18] Operation: 35-17=18 Moving to Node #0,0,1 Current State: 38:[20, 18], Operations: ['94-77=17', '35-17=18'] Exploring Operation: 20+18=38, Resulting Numbers: [38] 38,38 equal: Goal Reached Exit Sub Search at level 1
0.992188
hs_2
mult_heuristic
[ 21, 4, 49, 95 ]
39
[ "95-4=91", "21*91=1911", "1911/49=39" ]
Current State: 39:[21, 4, 49, 95], Operations: [] Exploring Operation: 95-4=91, Resulting Numbers: [21, 49, 91] Generated Node #2: [21, 49, 91] from Operation: 95-4=91 Current State: 39:[21, 49, 91], Operations: ['95-4=91'] Exploring Operation: 21*91=1911, Resulting Numbers: [49, 1911] Generated Node #3: [49, 1911] from Operation: 21*91=1911 Current State: 39:[49, 1911], Operations: ['95-4=91', '21*91=1911'] Exploring Operation: 1911/49=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
Current State: 39:[21, 4, 49, 95], Operations: [] Exploring Operation: 49-21=28, Resulting Numbers: [4, 95, 28] Generated Node #0,0: 39:[4, 95, 28] Operation: 49-21=28 Exploring Operation: 95-21=74, Resulting Numbers: [4, 49, 74] Generated Node #0,1: 39:[4, 49, 74] Operation: 95-21=74 Exploring Operation: 95-49=46, Resulting Numbers: [21, 4, 46] Generated Node #0,2: 39:[21, 4, 46] Operation: 95-49=46 Exploring Operation: 21-4=17, Resulting Numbers: [49, 95, 17] Generated Node #0,3: 39:[49, 95, 17] Operation: 21-4=17 Start Sub Search at level 1: Moving to Node #0,2 Current State: 39:[21, 4, 46], Operations: ['95-49=46'] Exploring Operation: 21-4=17, Resulting Numbers: [46, 17] Generated Node #0,2,0: 39:[46, 17] Operation: 21-4=17 Exploring Operation: 21+4=25, Resulting Numbers: [46, 25] Generated Node #0,2,1: 39:[46, 25] Operation: 21+4=25 Exploring Operation: 46-21=25, Resulting Numbers: [4, 25] Generated Node #0,2,2: 39:[4, 25] Operation: 46-21=25 Exploring Operation: 46-4=42, Resulting Numbers: [21, 42] Generated Node #0,2,3: 39:[21, 42] Operation: 46-4=42 Moving to Node #0,2,0 Current State: 39:[46, 17], Operations: ['95-49=46', '21-4=17'] Exploring Operation: 46*17=782, Resulting Numbers: [782] 782,39 unequal: No Solution Exploring Operation: 46+17=63, Resulting Numbers: [63] 63,39 unequal: No Solution Exploring Operation: 46-17=29, Resulting Numbers: [29] 29,39 unequal: No Solution Moving to Node #0,2,3 Current State: 39:[21, 42], Operations: ['95-49=46', '46-4=42'] Exploring Operation: 42/21=2, Resulting Numbers: [2] 2,39 unequal: No Solution Exploring Operation: 21+42=63, Resulting Numbers: [63] 63,39 unequal: No Solution Exploring Operation: 42-21=21, Resulting Numbers: [21] 21,39 unequal: No Solution Exploring Operation: 21*42=882, Resulting Numbers: [882] 882,39 unequal: No Solution Moving to Node #0,2,2 Current State: 39:[4, 25], Operations: ['95-49=46', '46-21=25'] Exploring Operation: 25-4=21, Resulting Numbers: [21] 21,39 unequal: No Solution Exploring Operation: 4*25=100, Resulting Numbers: [100] 100,39 unequal: No Solution Exploring Operation: 4+25=29, Resulting Numbers: [29] 29,39 unequal: No Solution Moving to Node #0,2,1 Current State: 39:[46, 25], Operations: ['95-49=46', '21+4=25'] Exploring Operation: 46*25=1150, Resulting Numbers: [1150] 1150,39 unequal: No Solution Exploring Operation: 46+25=71, Resulting Numbers: [71] 71,39 unequal: No Solution Exploring Operation: 46-25=21, Resulting Numbers: [21] 21,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 39:[4, 49, 74], Operations: ['95-21=74'] Exploring Operation: 4+49=53, Resulting Numbers: [74, 53] Generated Node #0,1,0: 39:[74, 53] Operation: 4+49=53 Exploring Operation: 74-49=25, Resulting Numbers: [4, 25] Generated Node #0,1,1: 39:[4, 25] Operation: 74-49=25 Exploring Operation: 49-4=45, Resulting Numbers: [74, 45] Generated Node #0,1,2: 39:[74, 45] Operation: 49-4=45 Exploring Operation: 74-4=70, Resulting Numbers: [49, 70] Generated Node #0,1,3: 39:[49, 70] Operation: 74-4=70 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 39:[4, 25], Operations: ['95-21=74', '74-49=25'] Exploring Operation: 4*25=100, Resulting Numbers: [100] 100,39 unequal: No Solution Exploring Operation: 25-4=21, Resulting Numbers: [21] 21,39 unequal: No Solution Exploring Operation: 4+25=29, Resulting Numbers: [29] 29,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 39:[74, 45], Operations: ['95-21=74', '49-4=45'] Exploring Operation: 74-45=29, Resulting Numbers: [29] 29,39 unequal: No Solution Exploring Operation: 74+45=119, Resulting Numbers: [119] 119,39 unequal: No Solution Exploring Operation: 74*45=3330, Resulting Numbers: [3330] 3330,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 39:[49, 70], Operations: ['95-21=74', '74-4=70'] Exploring Operation: 49*70=3430, Resulting Numbers: [3430] 3430,39 unequal: No Solution Exploring Operation: 49+70=119, Resulting Numbers: [119] 119,39 unequal: No Solution Exploring Operation: 70-49=21, Resulting Numbers: [21] 21,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 39:[74, 53], Operations: ['95-21=74', '4+49=53'] Exploring Operation: 74+53=127, Resulting Numbers: [127] 127,39 unequal: No Solution Exploring Operation: 74*53=3922, Resulting Numbers: [3922] 3922,39 unequal: No Solution Exploring Operation: 74-53=21, Resulting Numbers: [21] 21,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 39:[4, 95, 28], Operations: ['49-21=28'] Exploring Operation: 4+28=32, Resulting Numbers: [95, 32] Generated Node #0,0,0: 39:[95, 32] Operation: 4+28=32 Exploring Operation: 28/4=7, Resulting Numbers: [95, 7] Generated Node #0,0,1: 39:[95, 7] Operation: 28/4=7 Exploring Operation: 95-28=67, Resulting Numbers: [4, 67] Generated Node #0,0,2: 39:[4, 67] Operation: 95-28=67 Exploring Operation: 95-4=91, Resulting Numbers: [28, 91] Generated Node #0,0,3: 39:[28, 91] Operation: 95-4=91 Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 39:[4, 67], Operations: ['49-21=28', '95-28=67'] Exploring Operation: 67-4=63, Resulting Numbers: [63] 63,39 unequal: No Solution Exploring Operation: 4*67=268, Resulting Numbers: [268] 268,39 unequal: No Solution Exploring Operation: 4+67=71, Resulting Numbers: [71] 71,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 39:[95, 7], Operations: ['49-21=28', '28/4=7'] Exploring Operation: 95-7=88, Resulting Numbers: [88] 88,39 unequal: No Solution Exploring Operation: 95*7=665, Resulting Numbers: [665] 665,39 unequal: No Solution Exploring Operation: 95+7=102, Resulting Numbers: [102] 102,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 39:[95, 32], Operations: ['49-21=28', '4+28=32'] Exploring Operation: 95-32=63, Resulting Numbers: [63] 63,39 unequal: No Solution Exploring Operation: 95+32=127, Resulting Numbers: [127] 127,39 unequal: No Solution Exploring Operation: 95*32=3040, Resulting Numbers: [3040] 3040,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 39:[28, 91], Operations: ['49-21=28', '95-4=91'] Exploring Operation: 28*91=2548, Resulting Numbers: [2548] 2548,39 unequal: No Solution Exploring Operation: 91-28=63, Resulting Numbers: [63] 63,39 unequal: No Solution Exploring Operation: 28+91=119, Resulting Numbers: [119] 119,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 39:[49, 95, 17], Operations: ['21-4=17'] Exploring Operation: 95-17=78, Resulting Numbers: [49, 78] Generated Node #0,3,0: 39:[49, 78] Operation: 95-17=78 Exploring Operation: 49+17=66, Resulting Numbers: [95, 66] Generated Node #0,3,1: 39:[95, 66] Operation: 49+17=66 Exploring Operation: 95-49=46, Resulting Numbers: [17, 46] Generated Node #0,3,2: 39:[17, 46] Operation: 95-49=46 Exploring Operation: 49-17=32, Resulting Numbers: [95, 32] Generated Node #0,3,3: 39:[95, 32] Operation: 49-17=32 Moving to Node #0,3,2 Current State: 39:[17, 46], Operations: ['21-4=17', '95-49=46'] Exploring Operation: 17+46=63, Resulting Numbers: [63] 63,39 unequal: No Solution Exploring Operation: 46-17=29, Resulting Numbers: [29] 29,39 unequal: No Solution Exploring Operation: 17*46=782, Resulting Numbers: [782] 782,39 unequal: No Solution Moving to Node #0,3,0 Current State: 39:[49, 78], Operations: ['21-4=17', '95-17=78'] Exploring Operation: 78-49=29, Resulting Numbers: [29] 29,39 unequal: No Solution Exploring Operation: 49*78=3822, Resulting Numbers: [3822] 3822,39 unequal: No Solution Exploring Operation: 49+78=127, Resulting Numbers: [127] 127,39 unequal: No Solution Moving to Node #0,3,3 Current State: 39:[95, 32], Operations: ['21-4=17', '49-17=32'] Exploring Operation: 95-32=63, Resulting Numbers: [63] 63,39 unequal: No Solution Exploring Operation: 95+32=127, Resulting Numbers: [127] 127,39 unequal: No Solution Exploring Operation: 95*32=3040, Resulting Numbers: [3040] 3040,39 unequal: No Solution Moving to Node #0,3,1 Current State: 39:[95, 66], Operations: ['21-4=17', '49+17=66'] Exploring Operation: 95+66=161, Resulting Numbers: [161] 161,39 unequal: No Solution Exploring Operation: 95*66=6270, Resulting Numbers: [6270] 6270,39 unequal: No Solution Exploring Operation: 95-66=29, Resulting Numbers: [29] 29,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
sum_heuristic
[ 85, 90, 30, 15 ]
80
[ "85*30=2550", "2550/15=170", "170-90=80" ]
Current State: 80:[85, 90, 30, 15], Operations: [] Exploring Operation: 85*30=2550, Resulting Numbers: [90, 15, 2550] Generated Node #2: [90, 15, 2550] from Operation: 85*30=2550 Current State: 80:[90, 15, 2550], Operations: ['85*30=2550'] Exploring Operation: 2550/15=170, Resulting Numbers: [90, 170] Generated Node #3: [90, 170] from Operation: 2550/15=170 Current State: 80:[90, 170], Operations: ['85*30=2550', '2550/15=170'] Exploring Operation: 170-90=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
Current State: 80:[85, 90, 30, 15], Operations: [] Exploring Operation: 90-85=5, Resulting Numbers: [30, 15, 5] Generated Node #0,0: 80:[30, 15, 5] Operation: 90-85=5 Exploring Operation: 90/30=3, Resulting Numbers: [85, 15, 3] Generated Node #0,1: 80:[85, 15, 3] Operation: 90/30=3 Exploring Operation: 90/15=6, Resulting Numbers: [85, 30, 6] Generated Node #0,2: 80:[85, 30, 6] Operation: 90/15=6 Exploring Operation: 30/15=2, Resulting Numbers: [85, 90, 2] Generated Node #0,3: 80:[85, 90, 2] Operation: 30/15=2 Exploring Operation: 30-15=15, Resulting Numbers: [85, 90, 15] Generated Node #0,4: 80:[85, 90, 15] Operation: 30-15=15 Moving to Node #0,1 Current State: 80:[85, 15, 3], Operations: ['90/30=3'] Exploring Operation: 15-3=12, Resulting Numbers: [85, 12] Generated Node #0,1,0: 80:[85, 12] Operation: 15-3=12 Exploring Operation: 85-3=82, Resulting Numbers: [15, 82] Generated Node #0,1,1: 80:[15, 82] Operation: 85-3=82 Exploring Operation: 15+3=18, Resulting Numbers: [85, 18] Generated Node #0,1,2: 80:[85, 18] Operation: 15+3=18 Exploring Operation: 85+3=88, Resulting Numbers: [15, 88] Generated Node #0,1,3: 80:[15, 88] Operation: 85+3=88 Exploring Operation: 15/3=5, Resulting Numbers: [85, 5] Generated Node #0,1,4: 80:[85, 5] Operation: 15/3=5 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 80:[15, 82], Operations: ['90/30=3', '85-3=82'] Exploring Operation: 82-15=67, Resulting Numbers: [67] 67,80 unequal: No Solution Exploring Operation: 15+82=97, Resulting Numbers: [97] 97,80 unequal: No Solution Exploring Operation: 15*82=1230, Resulting Numbers: [1230] 1230,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 80:[85, 5], Operations: ['90/30=3', '15/3=5'] Exploring Operation: 85-5=80, Resulting Numbers: [80] 80,80 equal: Goal Reached Moving to Node #0 Current State: 80:[85, 90, 30, 15], Operations: [] Exploring Operation: 90/30=3, Resulting Numbers: [85, 15, 3] Generated Node #0,1: 80:[85, 15, 3] Operation: 90/30=3 Moving to Node #0,1 Current State: 80:[85, 15, 3], Operations: ['90/30=3'] Exploring Operation: 15/3=5, Resulting Numbers: [85, 5] Generated Node #0,1,4: 80:[85, 5] Operation: 15/3=5 Moving to Node #0,1,4 Current State: 80:[85, 5], Operations: ['90/30=3', '15/3=5'] Exploring Operation: 85-5=80, Resulting Numbers: [80] 80,80 equal: Goal Reached Exit Sub Search at level 1
0.984375
hs_5
mult_heuristic
[ 4, 24, 98, 63 ]
44
[ "98-24=74", "74-63=11", "4*11=44" ]
Current State: 44:[4, 24, 98, 63], Operations: [] Exploring Operation: 98-24=74, Resulting Numbers: [4, 63, 74] Generated Node #2: [4, 63, 74] from Operation: 98-24=74 Current State: 44:[4, 63, 74], Operations: ['98-24=74'] Exploring Operation: 74-63=11, Resulting Numbers: [4, 11] Generated Node #3: [4, 11] from Operation: 74-63=11 Current State: 44:[4, 11], Operations: ['98-24=74', '74-63=11'] Exploring Operation: 4*11=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
Current State: 44:[4, 24, 98, 63], Operations: [] Exploring Operation: 98-4=94, Resulting Numbers: [24, 63, 94] Generated Node #0,0: 44:[24, 63, 94] Operation: 98-4=94 Exploring Operation: 98-24=74, Resulting Numbers: [4, 63, 74] Generated Node #0,1: 44:[4, 63, 74] Operation: 98-24=74 Exploring Operation: 63-4=59, Resulting Numbers: [24, 98, 59] Generated Node #0,2: 44:[24, 98, 59] Operation: 63-4=59 Exploring Operation: 98-63=35, Resulting Numbers: [4, 24, 35] Generated Node #0,3: 44:[4, 24, 35] Operation: 98-63=35 Exploring Operation: 63-24=39, Resulting Numbers: [4, 98, 39] Generated Node #0,4: 44:[4, 98, 39] Operation: 63-24=39 Moving to Node #0,3 Current State: 44:[4, 24, 35], Operations: ['98-63=35'] Exploring Operation: 35-24=11, Resulting Numbers: [4, 11] Generated Node #0,3,0: 44:[4, 11] Operation: 35-24=11 Exploring Operation: 24/4=6, Resulting Numbers: [35, 6] Generated Node #0,3,1: 44:[35, 6] Operation: 24/4=6 Exploring Operation: 4+35=39, Resulting Numbers: [24, 39] Generated Node #0,3,2: 44:[24, 39] Operation: 4+35=39 Exploring Operation: 35-4=31, Resulting Numbers: [24, 31] Generated Node #0,3,3: 44:[24, 31] Operation: 35-4=31 Exploring Operation: 24-4=20, Resulting Numbers: [35, 20] Generated Node #0,3,4: 44:[35, 20] Operation: 24-4=20 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 44:[4, 11], Operations: ['98-63=35', '35-24=11'] Exploring Operation: 11-4=7, Resulting Numbers: [7] 7,44 unequal: No Solution Exploring Operation: 4+11=15, Resulting Numbers: [15] 15,44 unequal: No Solution Exploring Operation: 4*11=44, Resulting Numbers: [44] 44,44 equal: Goal Reached Moving to Node #0 Current State: 44:[4, 24, 98, 63], Operations: [] Exploring Operation: 98-63=35, Resulting Numbers: [4, 24, 35] Generated Node #0,3: 44:[4, 24, 35] Operation: 98-63=35 Moving to Node #0,3 Current State: 44:[4, 24, 35], Operations: ['98-63=35'] Exploring Operation: 35-24=11, Resulting Numbers: [4, 11] Generated Node #0,3,0: 44:[4, 11] Operation: 35-24=11 Moving to Node #0,3,0 Current State: 44:[4, 11], Operations: ['98-63=35', '35-24=11'] Exploring Operation: 4*11=44, Resulting Numbers: [44] 44,44 equal: Goal Reached Exit Sub Search at level 1
0.985243
hs_5
sum_heuristic
[ 81, 93, 13, 33 ]
33
[ "93-81=12", "13-12=1", "33*1=33" ]
Current State: 33:[81, 93, 13, 33], Operations: [] Exploring Operation: 93-81=12, Resulting Numbers: [13, 33, 12] Generated Node #2: [13, 33, 12] from Operation: 93-81=12 Current State: 33:[13, 33, 12], Operations: ['93-81=12'] Exploring Operation: 13-12=1, Resulting Numbers: [33, 1] Generated Node #3: [33, 1] from Operation: 13-12=1 Current State: 33:[33, 1], Operations: ['93-81=12', '13-12=1'] Exploring Operation: 33*1=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
Current State: 33:[81, 93, 13, 33], Operations: [] Exploring Operation: 93-81=12, Resulting Numbers: [13, 33, 12] Generated Node #0,0: 33:[13, 33, 12] Operation: 93-81=12 Exploring Operation: 81-13=68, Resulting Numbers: [93, 33, 68] Generated Node #0,1: 33:[93, 33, 68] Operation: 81-13=68 Exploring Operation: 81-33=48, Resulting Numbers: [93, 13, 48] Generated Node #0,2: 33:[93, 13, 48] Operation: 81-33=48 Exploring Operation: 93-33=60, Resulting Numbers: [81, 13, 60] Generated Node #0,3: 33:[81, 13, 60] Operation: 93-33=60 Start Sub Search at level 1: Moving to Node #0,0 Current State: 33:[13, 33, 12], Operations: ['93-81=12'] Exploring Operation: 13-12=1, Resulting Numbers: [33, 1] Generated Node #0,0,0: 33:[33, 1] Operation: 13-12=1 Exploring Operation: 33-13=20, Resulting Numbers: [12, 20] Generated Node #0,0,1: 33:[12, 20] Operation: 33-13=20 Exploring Operation: 13+12=25, Resulting Numbers: [33, 25] Generated Node #0,0,2: 33:[33, 25] Operation: 13+12=25 Exploring Operation: 33-12=21, Resulting Numbers: [13, 21] Generated Node #0,0,3: 33:[13, 21] Operation: 33-12=21 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 33:[33, 1], Operations: ['93-81=12', '13-12=1'] Exploring Operation: 33+1=34, Resulting Numbers: [34] 34,33 unequal: No Solution Exploring Operation: 33-1=32, Resulting Numbers: [32] 32,33 unequal: No Solution Exploring Operation: 33*1=33, Resulting Numbers: [33] 33,33 equal: Goal Reached Moving to Node #0 Current State: 33:[81, 93, 13, 33], Operations: [] Exploring Operation: 93-81=12, Resulting Numbers: [13, 33, 12] Generated Node #0,0: 33:[13, 33, 12] Operation: 93-81=12 Moving to Node #0,0 Current State: 33:[13, 33, 12], Operations: ['93-81=12'] Exploring Operation: 13-12=1, Resulting Numbers: [33, 1] Generated Node #0,0,0: 33:[33, 1] Operation: 13-12=1 Moving to Node #0,0,0 Current State: 33:[33, 1], Operations: ['93-81=12', '13-12=1'] Exploring Operation: 33*1=33, Resulting Numbers: [33] 33,33 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.986979
hs_4
mult_heuristic
[ 9, 73, 51, 44 ]
31
[ "73-9=64", "51+44=95", "95-64=31" ]
Current State: 31:[9, 73, 51, 44], Operations: [] Exploring Operation: 73-9=64, Resulting Numbers: [51, 44, 64] Generated Node #2: [51, 44, 64] from Operation: 73-9=64 Current State: 31:[51, 44, 64], Operations: ['73-9=64'] Exploring Operation: 51+44=95, Resulting Numbers: [64, 95] Generated Node #3: [64, 95] from Operation: 51+44=95 Current State: 31:[64, 95], Operations: ['73-9=64', '51+44=95'] Exploring Operation: 95-64=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
Current State: 31:[9, 73, 51, 44], Operations: [] Exploring Operation: 73-44=29, Resulting Numbers: [9, 51, 29] Generated Node #0,0: 31:[9, 51, 29] Operation: 73-44=29 Exploring Operation: 73-51=22, Resulting Numbers: [9, 44, 22] Generated Node #0,1: 31:[9, 44, 22] Operation: 73-51=22 Exploring Operation: 73-9=64, Resulting Numbers: [51, 44, 64] Generated Node #0,2: 31:[51, 44, 64] Operation: 73-9=64 Start Sub Search at level 1: Moving to Node #0,0 Current State: 31:[9, 51, 29], Operations: ['73-44=29'] Exploring Operation: 9+29=38, Resulting Numbers: [51, 38] Generated Node #0,0,0: 31:[51, 38] Operation: 9+29=38 Exploring Operation: 9+51=60, Resulting Numbers: [29, 60] Generated Node #0,0,1: 31:[29, 60] Operation: 9+51=60 Exploring Operation: 51-9=42, Resulting Numbers: [29, 42] Generated Node #0,0,2: 31:[29, 42] Operation: 51-9=42 Moving to Node #0,0,2 Current State: 31:[29, 42], Operations: ['73-44=29', '51-9=42'] Exploring Operation: 29*42=1218, Resulting Numbers: [1218] 1218,31 unequal: No Solution Exploring Operation: 29+42=71, Resulting Numbers: [71] 71,31 unequal: No Solution Exploring Operation: 42-29=13, Resulting Numbers: [13] 13,31 unequal: No Solution Moving to Node #0,0,0 Current State: 31:[51, 38], Operations: ['73-44=29', '9+29=38'] Exploring Operation: 51*38=1938, Resulting Numbers: [1938] 1938,31 unequal: No Solution Exploring Operation: 51-38=13, Resulting Numbers: [13] 13,31 unequal: No Solution Exploring Operation: 51+38=89, Resulting Numbers: [89] 89,31 unequal: No Solution Moving to Node #0,0,1 Current State: 31:[29, 60], Operations: ['73-44=29', '9+51=60'] Exploring Operation: 29+60=89, Resulting Numbers: [89] 89,31 unequal: No Solution Exploring Operation: 29*60=1740, Resulting Numbers: [1740] 1740,31 unequal: No Solution Exploring Operation: 60-29=31, Resulting Numbers: [31] 31,31 equal: Goal Reached Moving to Node #0 Current State: 31:[9, 73, 51, 44], Operations: [] Exploring Operation: 73-44=29, Resulting Numbers: [9, 51, 29] Generated Node #0,0: 31:[9, 51, 29] Operation: 73-44=29 Moving to Node #0,0 Current State: 31:[9, 51, 29], Operations: ['73-44=29'] Exploring Operation: 9+51=60, Resulting Numbers: [29, 60] Generated Node #0,0,1: 31:[29, 60] Operation: 9+51=60 Moving to Node #0,0,1 Current State: 31:[29, 60], Operations: ['73-44=29', '9+51=60'] Exploring Operation: 60-29=31, Resulting Numbers: [31] 31,31 equal: Goal Reached Exit Sub Search at level 1
0.983507
hs_3
sum_heuristic
[ 50, 93, 45, 22 ]
24
[ "93-50=43", "45+22=67", "67-43=24" ]
Current State: 24:[50, 93, 45, 22], Operations: [] Exploring Operation: 93-50=43, Resulting Numbers: [45, 22, 43] Generated Node #2: [45, 22, 43] from Operation: 93-50=43 Current State: 24:[45, 22, 43], Operations: ['93-50=43'] Exploring Operation: 45+22=67, Resulting Numbers: [43, 67] Generated Node #3: [43, 67] from Operation: 45+22=67 Current State: 24:[43, 67], Operations: ['93-50=43', '45+22=67'] Exploring Operation: 67-43=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
Current State: 24:[50, 93, 45, 22], Operations: [] Exploring Operation: 93-50=43, Resulting Numbers: [45, 22, 43] Generated Node #0,0: 24:[45, 22, 43] Operation: 93-50=43 Start Sub Search at level 1: Moving to Node #0,0 Current State: 24:[45, 22, 43], Operations: ['93-50=43'] Exploring Operation: 45-43=2, Resulting Numbers: [22, 2] Generated Node #0,0,0: 24:[22, 2] Operation: 45-43=2 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 24:[22, 2], Operations: ['93-50=43', '45-43=2'] Exploring Operation: 22+2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached Moving to Node #0 Current State: 24:[50, 93, 45, 22], Operations: [] Exploring Operation: 93-50=43, Resulting Numbers: [45, 22, 43] Generated Node #0,0: 24:[45, 22, 43] Operation: 93-50=43 Moving to Node #0,0 Current State: 24:[45, 22, 43], Operations: ['93-50=43'] Exploring Operation: 45-43=2, Resulting Numbers: [22, 2] Generated Node #0,0,0: 24:[22, 2] Operation: 45-43=2 Moving to Node #0,0,0 Current State: 24:[22, 2], Operations: ['93-50=43', '45-43=2'] Exploring Operation: 22+2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.993924
hs_1
sum_heuristic
[ 92, 91, 6, 93 ]
46
[ "92+91=183", "93+183=276", "276/6=46" ]
Current State: 46:[92, 91, 6, 93], Operations: [] Exploring Operation: 92+91=183, Resulting Numbers: [6, 93, 183] Generated Node #2: [6, 93, 183] from Operation: 92+91=183 Current State: 46:[6, 93, 183], Operations: ['92+91=183'] Exploring Operation: 93+183=276, Resulting Numbers: [6, 276] Generated Node #3: [6, 276] from Operation: 93+183=276 Current State: 46:[6, 276], Operations: ['92+91=183', '93+183=276'] Exploring Operation: 276/6=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
Current State: 46:[92, 91, 6, 93], Operations: [] Exploring Operation: 93-92=1, Resulting Numbers: [91, 6, 1] Generated Node #0,0: 46:[91, 6, 1] Operation: 93-92=1 Exploring Operation: 92-91=1, Resulting Numbers: [6, 93, 1] Generated Node #0,1: 46:[6, 93, 1] Operation: 92-91=1 Exploring Operation: 93-91=2, Resulting Numbers: [92, 6, 2] Generated Node #0,2: 46:[92, 6, 2] Operation: 93-91=2 Exploring Operation: 92-6=86, Resulting Numbers: [91, 93, 86] Generated Node #0,3: 46:[91, 93, 86] Operation: 92-6=86 Moving to Node #0,0 Current State: 46:[91, 6, 1], Operations: ['93-92=1'] Exploring Operation: 91-1=90, Resulting Numbers: [6, 90] Generated Node #0,0,0: 46:[6, 90] Operation: 91-1=90 Exploring Operation: 6-1=5, Resulting Numbers: [91, 5] Generated Node #0,0,1: 46:[91, 5] Operation: 6-1=5 Exploring Operation: 91*1=91, Resulting Numbers: [6, 91] Generated Node #0,0,2: 46:[6, 91] Operation: 91*1=91 Exploring Operation: 91-6=85, Resulting Numbers: [1, 85] Generated Node #0,0,3: 46:[1, 85] Operation: 91-6=85 Moving to Node #0,2 Current State: 46:[92, 6, 2], Operations: ['93-91=2'] Exploring Operation: 92/2=46, Resulting Numbers: [6, 46] Generated Node #0,2,0: 46:[6, 46] Operation: 92/2=46 Exploring Operation: 92-6=86, Resulting Numbers: [2, 86] Generated Node #0,2,1: 46:[2, 86] Operation: 92-6=86 Exploring Operation: 92-2=90, Resulting Numbers: [6, 90] Generated Node #0,2,2: 46:[6, 90] Operation: 92-2=90 Exploring Operation: 6/2=3, Resulting Numbers: [92, 3] Generated Node #0,2,3: 46:[92, 3] Operation: 6/2=3 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 46:[6, 46], Operations: ['93-91=2', '92/2=46'] Exploring Operation: 46-6=40, Resulting Numbers: [40] 40,46 unequal: No Solution Exploring Operation: 6*46=276, Resulting Numbers: [276] 276,46 unequal: No Solution Exploring Operation: 6+46=52, Resulting Numbers: [52] 52,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 46:[2, 86], Operations: ['93-91=2', '92-6=86'] Exploring Operation: 2*86=172, Resulting Numbers: [172] 172,46 unequal: No Solution Exploring Operation: 2+86=88, Resulting Numbers: [88] 88,46 unequal: No Solution Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,46 unequal: No Solution Exploring Operation: 86-2=84, Resulting Numbers: [84] 84,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 46:[92, 3], Operations: ['93-91=2', '6/2=3'] Exploring Operation: 92-3=89, Resulting Numbers: [89] 89,46 unequal: No Solution Exploring Operation: 92+3=95, Resulting Numbers: [95] 95,46 unequal: No Solution Exploring Operation: 92*3=276, Resulting Numbers: [276] 276,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 46:[6, 90], Operations: ['93-91=2', '92-2=90'] Exploring Operation: 90-6=84, Resulting Numbers: [84] 84,46 unequal: No Solution Exploring Operation: 6+90=96, Resulting Numbers: [96] 96,46 unequal: No Solution Exploring Operation: 6*90=540, Resulting Numbers: [540] 540,46 unequal: No Solution Exploring Operation: 90/6=15, Resulting Numbers: [15] 15,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 46:[6, 93, 1], Operations: ['92-91=1'] Exploring Operation: 6*1=6, Resulting Numbers: [93, 6] Generated Node #0,1,0: 46:[93, 6] Operation: 6*1=6 Exploring Operation: 93-6=87, Resulting Numbers: [1, 87] Generated Node #0,1,1: 46:[1, 87] Operation: 93-6=87 Exploring Operation: 93-1=92, Resulting Numbers: [6, 92] Generated Node #0,1,2: 46:[6, 92] Operation: 93-1=92 Exploring Operation: 6-1=5, Resulting Numbers: [93, 5] Generated Node #0,1,3: 46:[93, 5] Operation: 6-1=5 Moving to Node #0,3 Current State: 46:[91, 93, 86], Operations: ['92-6=86'] Exploring Operation: 93-86=7, Resulting Numbers: [91, 7] Generated Node #0,3,0: 46:[91, 7] Operation: 93-86=7 Exploring Operation: 91-86=5, Resulting Numbers: [93, 5] Generated Node #0,3,1: 46:[93, 5] Operation: 91-86=5 Exploring Operation: 91+93=184, Resulting Numbers: [86, 184] Generated Node #0,3,2: 46:[86, 184] Operation: 91+93=184 Exploring Operation: 93-91=2, Resulting Numbers: [86, 2] Generated Node #0,3,3: 46:[86, 2] Operation: 93-91=2 Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 46:[86, 2], Operations: ['92-6=86', '93-91=2'] Exploring Operation: 86*2=172, Resulting Numbers: [172] 172,46 unequal: No Solution Exploring Operation: 86+2=88, Resulting Numbers: [88] 88,46 unequal: No Solution Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,46 unequal: No Solution Exploring Operation: 86-2=84, Resulting Numbers: [84] 84,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 46:[91, 7], Operations: ['92-6=86', '93-86=7'] Exploring Operation: 91+7=98, Resulting Numbers: [98] 98,46 unequal: No Solution Exploring Operation: 91-7=84, Resulting Numbers: [84] 84,46 unequal: No Solution Exploring Operation: 91*7=637, Resulting Numbers: [637] 637,46 unequal: No Solution Exploring Operation: 91/7=13, Resulting Numbers: [13] 13,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 46:[93, 5], Operations: ['92-6=86', '91-86=5'] Exploring Operation: 93-5=88, Resulting Numbers: [88] 88,46 unequal: No Solution Exploring Operation: 93+5=98, Resulting Numbers: [98] 98,46 unequal: No Solution Exploring Operation: 93*5=465, Resulting Numbers: [465] 465,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 46:[86, 184], Operations: ['92-6=86', '91+93=184'] Exploring Operation: 86+184=270, Resulting Numbers: [270] 270,46 unequal: No Solution Exploring Operation: 86*184=15824, Resulting Numbers: [15824] 15824,46 unequal: No Solution Exploring Operation: 184-86=98, Resulting Numbers: [98] 98,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0,3 Current State: 46:[1, 85], Operations: ['93-92=1', '91-6=85'] Exploring Operation: 85/1=85, Resulting Numbers: [85] 85,46 unequal: No Solution Exploring Operation: 1*85=85, Resulting Numbers: [85] 85,46 unequal: No Solution Exploring Operation: 85-1=84, Resulting Numbers: [84] 84,46 unequal: No Solution Exploring Operation: 1+85=86, Resulting Numbers: [86] 86,46 unequal: No Solution Moving to Node #0,1,1 Current State: 46:[1, 87], Operations: ['92-91=1', '93-6=87'] Exploring Operation: 1+87=88, Resulting Numbers: [88] 88,46 unequal: No Solution Exploring Operation: 87-1=86, Resulting Numbers: [86] 86,46 unequal: No Solution Exploring Operation: 87/1=87, Resulting Numbers: [87] 87,46 unequal: No Solution Exploring Operation: 1*87=87, Resulting Numbers: [87] 87,46 unequal: No Solution Moving to Node #0,0,1 Current State: 46:[91, 5], Operations: ['93-92=1', '6-1=5'] Exploring Operation: 91-5=86, Resulting Numbers: [86] 86,46 unequal: No Solution Exploring Operation: 91+5=96, Resulting Numbers: [96] 96,46 unequal: No Solution Exploring Operation: 91*5=455, Resulting Numbers: [455] 455,46 unequal: No Solution Moving to Node #0,0,0 Current State: 46:[6, 90], Operations: ['93-92=1', '91-1=90'] Exploring Operation: 6+90=96, Resulting Numbers: [96] 96,46 unequal: No Solution Exploring Operation: 90/6=15, Resulting Numbers: [15] 15,46 unequal: No Solution Exploring Operation: 6*90=540, Resulting Numbers: [540] 540,46 unequal: No Solution Exploring Operation: 90-6=84, Resulting Numbers: [84] 84,46 unequal: No Solution Moving to Node #0,0,2 Current State: 46:[6, 91], Operations: ['93-92=1', '91*1=91'] Exploring Operation: 91-6=85, Resulting Numbers: [85] 85,46 unequal: No Solution Exploring Operation: 6*91=546, Resulting Numbers: [546] 546,46 unequal: No Solution Exploring Operation: 6+91=97, Resulting Numbers: [97] 97,46 unequal: No Solution Moving to Node #0,1,2 Current State: 46:[6, 92], Operations: ['92-91=1', '93-1=92'] Exploring Operation: 6+92=98, Resulting Numbers: [98] 98,46 unequal: No Solution Exploring Operation: 92-6=86, Resulting Numbers: [86] 86,46 unequal: No Solution Exploring Operation: 6*92=552, Resulting Numbers: [552] 552,46 unequal: No Solution Moving to Node #0,1,3 Current State: 46:[93, 5], Operations: ['92-91=1', '6-1=5'] Exploring Operation: 93-5=88, Resulting Numbers: [88] 88,46 unequal: No Solution Exploring Operation: 93*5=465, Resulting Numbers: [465] 465,46 unequal: No Solution Exploring Operation: 93+5=98, Resulting Numbers: [98] 98,46 unequal: No Solution Moving to Node #0,1,0 Current State: 46:[93, 6], Operations: ['92-91=1', '6*1=6'] Exploring Operation: 93*6=558, Resulting Numbers: [558] 558,46 unequal: No Solution Exploring Operation: 93-6=87, Resulting Numbers: [87] 87,46 unequal: No Solution Exploring Operation: 93+6=99, Resulting Numbers: [99] 99,46 unequal: No Solution No solution found.
0
hs_4
sum_heuristic
[ 48, 3, 68, 8 ]
84
[ "48*3=144", "68-8=60", "144-60=84" ]
Current State: 84:[48, 3, 68, 8], Operations: [] Exploring Operation: 48*3=144, Resulting Numbers: [68, 8, 144] Generated Node #2: [68, 8, 144] from Operation: 48*3=144 Current State: 84:[68, 8, 144], Operations: ['48*3=144'] Exploring Operation: 68-8=60, Resulting Numbers: [144, 60] Generated Node #3: [144, 60] from Operation: 68-8=60 Current State: 84:[144, 60], Operations: ['48*3=144', '68-8=60'] Exploring Operation: 144-60=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
Current State: 84:[48, 3, 68, 8], Operations: [] Exploring Operation: 68-48=20, Resulting Numbers: [3, 8, 20] Generated Node #0,0: 84:[3, 8, 20] Operation: 68-48=20 Start Sub Search at level 1: Moving to Node #0,0 Current State: 84:[3, 8, 20], Operations: ['68-48=20'] Exploring Operation: 8+20=28, Resulting Numbers: [3, 28] Generated Node #0,0,0: 84:[3, 28] Operation: 8+20=28 Moving to Node #0,0,0 Current State: 84:[3, 28], Operations: ['68-48=20', '8+20=28'] Exploring Operation: 3*28=84, Resulting Numbers: [84] 84,84 equal: Goal Reached Moving to Node #0 Current State: 84:[48, 3, 68, 8], Operations: [] Exploring Operation: 68-48=20, Resulting Numbers: [3, 8, 20] Generated Node #0,0: 84:[3, 8, 20] Operation: 68-48=20 Moving to Node #0,0 Current State: 84:[3, 8, 20], Operations: ['68-48=20'] Exploring Operation: 8+20=28, Resulting Numbers: [3, 28] Generated Node #0,0,0: 84:[3, 28] Operation: 8+20=28 Moving to Node #0,0,0 Current State: 84:[3, 28], Operations: ['68-48=20', '8+20=28'] Exploring Operation: 3*28=84, Resulting Numbers: [84] 84,84 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
sum_heuristic
[ 42, 72, 53, 54 ]
59
[ "54-42=12", "72/12=6", "53+6=59" ]
Current State: 59:[42, 72, 53, 54], Operations: [] Exploring Operation: 54-42=12, Resulting Numbers: [72, 53, 12] Generated Node #2: [72, 53, 12] from Operation: 54-42=12 Current State: 59:[72, 53, 12], Operations: ['54-42=12'] Exploring Operation: 72/12=6, Resulting Numbers: [53, 6] Generated Node #3: [53, 6] from Operation: 72/12=6 Current State: 59:[53, 6], Operations: ['54-42=12', '72/12=6'] Exploring Operation: 53+6=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
Current State: 59:[42, 72, 53, 54], Operations: [] Exploring Operation: 42+54=96, Resulting Numbers: [72, 53, 96] Generated Node #0,0: 59:[72, 53, 96] Operation: 42+54=96 Exploring Operation: 72-42=30, Resulting Numbers: [53, 54, 30] Generated Node #0,1: 59:[53, 54, 30] Operation: 72-42=30 Exploring Operation: 72-53=19, Resulting Numbers: [42, 54, 19] Generated Node #0,2: 59:[42, 54, 19] Operation: 72-53=19 Exploring Operation: 42+53=95, Resulting Numbers: [72, 54, 95] Generated Node #0,3: 59:[72, 54, 95] Operation: 42+53=95 Start Sub Search at level 1: Moving to Node #0,1 Current State: 59:[53, 54, 30], Operations: ['72-42=30'] Exploring Operation: 53+30=83, Resulting Numbers: [54, 83] Generated Node #0,1,0: 59:[54, 83] Operation: 53+30=83 Exploring Operation: 54+30=84, Resulting Numbers: [53, 84] Generated Node #0,1,1: 59:[53, 84] Operation: 54+30=84 Exploring Operation: 53-30=23, Resulting Numbers: [54, 23] Generated Node #0,1,2: 59:[54, 23] Operation: 53-30=23 Exploring Operation: 54-30=24, Resulting Numbers: [53, 24] Generated Node #0,1,3: 59:[53, 24] Operation: 54-30=24 Moving to Node #0,1,0 Current State: 59:[54, 83], Operations: ['72-42=30', '53+30=83'] Exploring Operation: 83-54=29, Resulting Numbers: [29] 29,59 unequal: No Solution Exploring Operation: 54*83=4482, Resulting Numbers: [4482] 4482,59 unequal: No Solution Exploring Operation: 54+83=137, Resulting Numbers: [137] 137,59 unequal: No Solution Moving to Node #0,1,1 Current State: 59:[53, 84], Operations: ['72-42=30', '54+30=84'] Exploring Operation: 84-53=31, Resulting Numbers: [31] 31,59 unequal: No Solution Exploring Operation: 53*84=4452, Resulting Numbers: [4452] 4452,59 unequal: No Solution Exploring Operation: 53+84=137, Resulting Numbers: [137] 137,59 unequal: No Solution Moving to Node #0,1,3 Current State: 59:[53, 24], Operations: ['72-42=30', '54-30=24'] Exploring Operation: 53-24=29, Resulting Numbers: [29] 29,59 unequal: No Solution Exploring Operation: 53+24=77, Resulting Numbers: [77] 77,59 unequal: No Solution Exploring Operation: 53*24=1272, Resulting Numbers: [1272] 1272,59 unequal: No Solution Moving to Node #0,1,2 Current State: 59:[54, 23], Operations: ['72-42=30', '53-30=23'] Exploring Operation: 54-23=31, Resulting Numbers: [31] 31,59 unequal: No Solution Exploring Operation: 54*23=1242, Resulting Numbers: [1242] 1242,59 unequal: No Solution Exploring Operation: 54+23=77, Resulting Numbers: [77] 77,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 59:[72, 54, 95], Operations: ['42+53=95'] Exploring Operation: 95-54=41, Resulting Numbers: [72, 41] Generated Node #0,3,0: 59:[72, 41] Operation: 95-54=41 Exploring Operation: 72-54=18, Resulting Numbers: [95, 18] Generated Node #0,3,1: 59:[95, 18] Operation: 72-54=18 Exploring Operation: 72+54=126, Resulting Numbers: [95, 126] Generated Node #0,3,2: 59:[95, 126] Operation: 72+54=126 Exploring Operation: 95-72=23, Resulting Numbers: [54, 23] Generated Node #0,3,3: 59:[54, 23] Operation: 95-72=23 Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 59:[72, 41], Operations: ['42+53=95', '95-54=41'] Exploring Operation: 72-41=31, Resulting Numbers: [31] 31,59 unequal: No Solution Exploring Operation: 72+41=113, Resulting Numbers: [113] 113,59 unequal: No Solution Exploring Operation: 72*41=2952, Resulting Numbers: [2952] 2952,59 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 59:[54, 23], Operations: ['42+53=95', '95-72=23'] Exploring Operation: 54-23=31, Resulting Numbers: [31] 31,59 unequal: No Solution Exploring Operation: 54*23=1242, Resulting Numbers: [1242] 1242,59 unequal: No Solution Exploring Operation: 54+23=77, Resulting Numbers: [77] 77,59 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 59:[95, 18], Operations: ['42+53=95', '72-54=18'] Exploring Operation: 95*18=1710, Resulting Numbers: [1710] 1710,59 unequal: No Solution Exploring Operation: 95+18=113, Resulting Numbers: [113] 113,59 unequal: No Solution Exploring Operation: 95-18=77, Resulting Numbers: [77] 77,59 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 59:[95, 126], Operations: ['42+53=95', '72+54=126'] Exploring Operation: 95*126=11970, Resulting Numbers: [11970] 11970,59 unequal: No Solution Exploring Operation: 95+126=221, Resulting Numbers: [221] 221,59 unequal: No Solution Exploring Operation: 126-95=31, Resulting Numbers: [31] 31,59 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 59:[72, 53, 96], Operations: ['42+54=96'] Exploring Operation: 96-53=43, Resulting Numbers: [72, 43] Generated Node #0,0,0: 59:[72, 43] Operation: 96-53=43 Exploring Operation: 72+53=125, Resulting Numbers: [96, 125] Generated Node #0,0,1: 59:[96, 125] Operation: 72+53=125 Exploring Operation: 72-53=19, Resulting Numbers: [96, 19] Generated Node #0,0,2: 59:[96, 19] Operation: 72-53=19 Exploring Operation: 96-72=24, Resulting Numbers: [53, 24] Generated Node #0,0,3: 59:[53, 24] Operation: 96-72=24 Moving to Node #0,0,0 Current State: 59:[72, 43], Operations: ['42+54=96', '96-53=43'] Exploring Operation: 72*43=3096, Resulting Numbers: [3096] 3096,59 unequal: No Solution Exploring Operation: 72+43=115, Resulting Numbers: [115] 115,59 unequal: No Solution Exploring Operation: 72-43=29, Resulting Numbers: [29] 29,59 unequal: No Solution Moving to Node #0,0,3 Current State: 59:[53, 24], Operations: ['42+54=96', '96-72=24'] Exploring Operation: 53-24=29, Resulting Numbers: [29] 29,59 unequal: No Solution Exploring Operation: 53*24=1272, Resulting Numbers: [1272] 1272,59 unequal: No Solution Exploring Operation: 53+24=77, Resulting Numbers: [77] 77,59 unequal: No Solution Moving to Node #0,0,2 Current State: 59:[96, 19], Operations: ['42+54=96', '72-53=19'] Exploring Operation: 96-19=77, Resulting Numbers: [77] 77,59 unequal: No Solution Exploring Operation: 96+19=115, Resulting Numbers: [115] 115,59 unequal: No Solution Exploring Operation: 96*19=1824, Resulting Numbers: [1824] 1824,59 unequal: No Solution Moving to Node #0,0,1 Current State: 59:[96, 125], Operations: ['42+54=96', '72+53=125'] Exploring Operation: 96*125=12000, Resulting Numbers: [12000] 12000,59 unequal: No Solution Exploring Operation: 96+125=221, Resulting Numbers: [221] 221,59 unequal: No Solution Exploring Operation: 125-96=29, Resulting Numbers: [29] 29,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 59:[42, 54, 19], Operations: ['72-53=19'] Exploring Operation: 54-19=35, Resulting Numbers: [42, 35] Generated Node #0,2,0: 59:[42, 35] Operation: 54-19=35 Exploring Operation: 54+19=73, Resulting Numbers: [42, 73] Generated Node #0,2,1: 59:[42, 73] Operation: 54+19=73 Exploring Operation: 42-19=23, Resulting Numbers: [54, 23] Generated Node #0,2,2: 59:[54, 23] Operation: 42-19=23 Exploring Operation: 42+19=61, Resulting Numbers: [54, 61] Generated Node #0,2,3: 59:[54, 61] Operation: 42+19=61 Moving to Node #0,2,3 Current State: 59:[54, 61], Operations: ['72-53=19', '42+19=61'] Exploring Operation: 61-54=7, Resulting Numbers: [7] 7,59 unequal: No Solution Exploring Operation: 54*61=3294, Resulting Numbers: [3294] 3294,59 unequal: No Solution Exploring Operation: 54+61=115, Resulting Numbers: [115] 115,59 unequal: No Solution Moving to Node #0,2,1 Current State: 59:[42, 73], Operations: ['72-53=19', '54+19=73'] Exploring Operation: 42+73=115, Resulting Numbers: [115] 115,59 unequal: No Solution Exploring Operation: 73-42=31, Resulting Numbers: [31] 31,59 unequal: No Solution Exploring Operation: 42*73=3066, Resulting Numbers: [3066] 3066,59 unequal: No Solution Moving to Node #0,2,2 Current State: 59:[54, 23], Operations: ['72-53=19', '42-19=23'] Exploring Operation: 54-23=31, Resulting Numbers: [31] 31,59 unequal: No Solution Exploring Operation: 54*23=1242, Resulting Numbers: [1242] 1242,59 unequal: No Solution Exploring Operation: 54+23=77, Resulting Numbers: [77] 77,59 unequal: No Solution Moving to Node #0,2,0 Current State: 59:[42, 35], Operations: ['72-53=19', '54-19=35'] Exploring Operation: 42*35=1470, Resulting Numbers: [1470] 1470,59 unequal: No Solution Exploring Operation: 42-35=7, Resulting Numbers: [7] 7,59 unequal: No Solution Exploring Operation: 42+35=77, Resulting Numbers: [77] 77,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
mult_heuristic
[ 36, 3, 15, 90 ]
12
[ "90/15=6", "6-3=3", "36/3=12" ]
Current State: 12:[36, 3, 15, 90], Operations: [] Exploring Operation: 90/15=6, Resulting Numbers: [36, 3, 6] Generated Node #2: [36, 3, 6] from Operation: 90/15=6 Current State: 12:[36, 3, 6], Operations: ['90/15=6'] Exploring Operation: 6-3=3, Resulting Numbers: [36, 3] Generated Node #3: [36, 3] from Operation: 6-3=3 Current State: 12:[36, 3], Operations: ['90/15=6', '6-3=3'] Exploring Operation: 36/3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
Current State: 12:[36, 3, 15, 90], Operations: [] Exploring Operation: 90-36=54, Resulting Numbers: [3, 15, 54] Generated Node #0,0: 12:[3, 15, 54] Operation: 90-36=54 Exploring Operation: 90/15=6, Resulting Numbers: [36, 3, 6] Generated Node #0,1: 12:[36, 3, 6] Operation: 90/15=6 Exploring Operation: 36-15=21, Resulting Numbers: [3, 90, 21] Generated Node #0,2: 12:[3, 90, 21] Operation: 36-15=21 Exploring Operation: 90/3=30, Resulting Numbers: [36, 15, 30] Generated Node #0,3: 12:[36, 15, 30] Operation: 90/3=30 Exploring Operation: 36/3=12, Resulting Numbers: [15, 90, 12] Generated Node #0,4: 12:[15, 90, 12] Operation: 36/3=12 Moving to Node #0,1 Current State: 12:[36, 3, 6], Operations: ['90/15=6'] Exploring Operation: 36/6=6, Resulting Numbers: [3, 6] Generated Node #0,1,0: 12:[3, 6] Operation: 36/6=6 Exploring Operation: 36-3=33, Resulting Numbers: [6, 33] Generated Node #0,1,1: 12:[6, 33] Operation: 36-3=33 Exploring Operation: 36/3=12, Resulting Numbers: [6, 12] Generated Node #0,1,2: 12:[6, 12] Operation: 36/3=12 Exploring Operation: 36-6=30, Resulting Numbers: [3, 30] Generated Node #0,1,3: 12:[3, 30] Operation: 36-6=30 Exploring Operation: 6-3=3, Resulting Numbers: [36, 3] Generated Node #0,1,4: 12:[36, 3] Operation: 6-3=3 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 12:[3, 6], Operations: ['90/15=6', '36/6=6'] Exploring Operation: 6/3=2, Resulting Numbers: [2] 2,12 unequal: No Solution Exploring Operation: 3*6=18, Resulting Numbers: [18] 18,12 unequal: No Solution Exploring Operation: 6-3=3, Resulting Numbers: [3] 3,12 unequal: No Solution Exploring Operation: 3+6=9, Resulting Numbers: [9] 9,12 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 12:[6, 12], Operations: ['90/15=6', '36/3=12'] Exploring Operation: 12-6=6, Resulting Numbers: [6] 6,12 unequal: No Solution Exploring Operation: 12/6=2, Resulting Numbers: [2] 2,12 unequal: No Solution Exploring Operation: 6*12=72, Resulting Numbers: [72] 72,12 unequal: No Solution Exploring Operation: 6+12=18, Resulting Numbers: [18] 18,12 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 12:[3, 30], Operations: ['90/15=6', '36-6=30'] Exploring Operation: 30/3=10, Resulting Numbers: [10] 10,12 unequal: No Solution Exploring Operation: 3+30=33, Resulting Numbers: [33] 33,12 unequal: No Solution Exploring Operation: 3*30=90, Resulting Numbers: [90] 90,12 unequal: No Solution Exploring Operation: 30-3=27, Resulting Numbers: [27] 27,12 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 12:[6, 33], Operations: ['90/15=6', '36-3=33'] Exploring Operation: 33-6=27, Resulting Numbers: [27] 27,12 unequal: No Solution Exploring Operation: 6*33=198, Resulting Numbers: [198] 198,12 unequal: No Solution Exploring Operation: 6+33=39, Resulting Numbers: [39] 39,12 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 12:[36, 3], Operations: ['90/15=6', '6-3=3'] Exploring Operation: 36/3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached Moving to Node #0 Current State: 12:[36, 3, 15, 90], Operations: [] Exploring Operation: 90/15=6, Resulting Numbers: [36, 3, 6] Generated Node #0,1: 12:[36, 3, 6] Operation: 90/15=6 Moving to Node #0,1 Current State: 12:[36, 3, 6], Operations: ['90/15=6'] Exploring Operation: 6-3=3, Resulting Numbers: [36, 3] Generated Node #0,1,4: 12:[36, 3] Operation: 6-3=3 Moving to Node #0,1,4 Current State: 12:[36, 3], Operations: ['90/15=6', '6-3=3'] Exploring Operation: 36/3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached Exit Sub Search at level 1
0.973958
hs_5
mult_heuristic
[ 16, 25, 34, 93 ]
100
[ "16+25=41", "93-34=59", "41+59=100" ]
Current State: 100:[16, 25, 34, 93], Operations: [] Exploring Operation: 16+25=41, Resulting Numbers: [34, 93, 41] Generated Node #2: [34, 93, 41] from Operation: 16+25=41 Current State: 100:[34, 93, 41], Operations: ['16+25=41'] Exploring Operation: 93-34=59, Resulting Numbers: [41, 59] Generated Node #3: [41, 59] from Operation: 93-34=59 Current State: 100:[41, 59], Operations: ['16+25=41', '93-34=59'] Exploring Operation: 41+59=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
Current State: 100:[16, 25, 34, 93], Operations: [] Exploring Operation: 16+34=50, Resulting Numbers: [25, 93, 50] Generated Node #0,0: 100:[25, 93, 50] Operation: 16+34=50 Exploring Operation: 34-16=18, Resulting Numbers: [25, 93, 18] Generated Node #0,1: 100:[25, 93, 18] Operation: 34-16=18 Exploring Operation: 93-34=59, Resulting Numbers: [16, 25, 59] Generated Node #0,2: 100:[16, 25, 59] Operation: 93-34=59 Exploring Operation: 34-25=9, Resulting Numbers: [16, 93, 9] Generated Node #0,3: 100:[16, 93, 9] Operation: 34-25=9 Start Sub Search at level 1: Moving to Node #0,0 Current State: 100:[25, 93, 50], Operations: ['16+34=50'] Exploring Operation: 50/25=2, Resulting Numbers: [93, 2] Generated Node #0,0,0: 100:[93, 2] Operation: 50/25=2 Exploring Operation: 25+93=118, Resulting Numbers: [50, 118] Generated Node #0,0,1: 100:[50, 118] Operation: 25+93=118 Exploring Operation: 50-25=25, Resulting Numbers: [93, 25] Generated Node #0,0,2: 100:[93, 25] Operation: 50-25=25 Exploring Operation: 93-50=43, Resulting Numbers: [25, 43] Generated Node #0,0,3: 100:[25, 43] Operation: 93-50=43 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 100:[93, 2], Operations: ['16+34=50', '50/25=2'] Exploring Operation: 93+2=95, Resulting Numbers: [95] 95,100 unequal: No Solution Exploring Operation: 93-2=91, Resulting Numbers: [91] 91,100 unequal: No Solution Exploring Operation: 93*2=186, Resulting Numbers: [186] 186,100 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 100:[93, 25], Operations: ['16+34=50', '50-25=25'] Exploring Operation: 93*25=2325, Resulting Numbers: [2325] 2325,100 unequal: No Solution Exploring Operation: 93-25=68, Resulting Numbers: [68] 68,100 unequal: No Solution Exploring Operation: 93+25=118, Resulting Numbers: [118] 118,100 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 100:[25, 43], Operations: ['16+34=50', '93-50=43'] Exploring Operation: 43-25=18, Resulting Numbers: [18] 18,100 unequal: No Solution Exploring Operation: 25+43=68, Resulting Numbers: [68] 68,100 unequal: No Solution Exploring Operation: 25*43=1075, Resulting Numbers: [1075] 1075,100 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 100:[50, 118], Operations: ['16+34=50', '25+93=118'] Exploring Operation: 50+118=168, Resulting Numbers: [168] 168,100 unequal: No Solution Exploring Operation: 118-50=68, Resulting Numbers: [68] 68,100 unequal: No Solution Exploring Operation: 50*118=5900, Resulting Numbers: [5900] 5900,100 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 100:[25, 93, 18], Operations: ['34-16=18'] Exploring Operation: 25+93=118, Resulting Numbers: [18, 118] Generated Node #0,1,0: 100:[18, 118] Operation: 25+93=118 Exploring Operation: 93+18=111, Resulting Numbers: [25, 111] Generated Node #0,1,1: 100:[25, 111] Operation: 93+18=111 Exploring Operation: 25+18=43, Resulting Numbers: [93, 43] Generated Node #0,1,2: 100:[93, 43] Operation: 25+18=43 Exploring Operation: 25-18=7, Resulting Numbers: [93, 7] Generated Node #0,1,3: 100:[93, 7] Operation: 25-18=7 Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 100:[93, 7], Operations: ['34-16=18', '25-18=7'] Exploring Operation: 93-7=86, Resulting Numbers: [86] 86,100 unequal: No Solution Exploring Operation: 93*7=651, Resulting Numbers: [651] 651,100 unequal: No Solution Exploring Operation: 93+7=100, Resulting Numbers: [100] 100,100 equal: Goal Reached Moving to Node #0 Current State: 100:[16, 25, 34, 93], Operations: [] Exploring Operation: 34-16=18, Resulting Numbers: [25, 93, 18] Generated Node #0,1: 100:[25, 93, 18] Operation: 34-16=18 Moving to Node #0,1 Current State: 100:[25, 93, 18], Operations: ['34-16=18'] Exploring Operation: 25-18=7, Resulting Numbers: [93, 7] Generated Node #0,1,3: 100:[93, 7] Operation: 25-18=7 Moving to Node #0,1,3 Current State: 100:[93, 7], Operations: ['34-16=18', '25-18=7'] Exploring Operation: 93+7=100, Resulting Numbers: [100] 100,100 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.97309
hs_4
sum_heuristic
[ 48, 2, 36, 98 ]
55
[ "48-36=12", "98+12=110", "110/2=55" ]
Current State: 55:[48, 2, 36, 98], Operations: [] Exploring Operation: 48-36=12, Resulting Numbers: [2, 98, 12] Generated Node #2: [2, 98, 12] from Operation: 48-36=12 Current State: 55:[2, 98, 12], Operations: ['48-36=12'] Exploring Operation: 98+12=110, Resulting Numbers: [2, 110] Generated Node #3: [2, 110] from Operation: 98+12=110 Current State: 55:[2, 110], Operations: ['48-36=12', '98+12=110'] Exploring Operation: 110/2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
Current State: 55:[48, 2, 36, 98], Operations: [] Exploring Operation: 98-36=62, Resulting Numbers: [48, 2, 62] Generated Node #0,0: 55:[48, 2, 62] Operation: 98-36=62 Exploring Operation: 98-48=50, Resulting Numbers: [2, 36, 50] Generated Node #0,1: 55:[2, 36, 50] Operation: 98-48=50 Start Sub Search at level 1: Moving to Node #0,0 Current State: 55:[48, 2, 62], Operations: ['98-36=62'] Exploring Operation: 48+2=50, Resulting Numbers: [62, 50] Generated Node #0,0,0: 55:[62, 50] Operation: 48+2=50 Exploring Operation: 62-48=14, Resulting Numbers: [2, 14] Generated Node #0,0,1: 55:[2, 14] Operation: 62-48=14 Moving to Node #0,0,1 Current State: 55:[2, 14], Operations: ['98-36=62', '62-48=14'] Exploring Operation: 14-2=12, Resulting Numbers: [12] 12,55 unequal: No Solution Exploring Operation: 14/2=7, Resulting Numbers: [7] 7,55 unequal: No Solution Moving to Node #0,0,0 Current State: 55:[62, 50], Operations: ['98-36=62', '48+2=50'] Exploring Operation: 62-50=12, Resulting Numbers: [12] 12,55 unequal: No Solution Exploring Operation: 62+50=112, Resulting Numbers: [112] 112,55 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 55:[2, 36, 50], Operations: ['98-48=50'] Exploring Operation: 36/2=18, Resulting Numbers: [50, 18] Generated Node #0,1,0: 55:[50, 18] Operation: 36/2=18 Exploring Operation: 50-36=14, Resulting Numbers: [2, 14] Generated Node #0,1,1: 55:[2, 14] Operation: 50-36=14 Moving to Node #0,1,1 Current State: 55:[2, 14], Operations: ['98-48=50', '50-36=14'] Exploring Operation: 14-2=12, Resulting Numbers: [12] 12,55 unequal: No Solution Exploring Operation: 14/2=7, Resulting Numbers: [7] 7,55 unequal: No Solution Moving to Node #0,1,0 Current State: 55:[50, 18], Operations: ['98-48=50', '36/2=18'] Exploring Operation: 50-18=32, Resulting Numbers: [32] 32,55 unequal: No Solution Exploring Operation: 50+18=68, Resulting Numbers: [68] 68,55 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
sum_heuristic
[ 12, 24, 52, 2 ]
38
[ "24-12=12", "52-2=50", "50-12=38" ]
Current State: 38:[12, 24, 52, 2], Operations: [] Exploring Operation: 24-12=12, Resulting Numbers: [52, 2, 12] Generated Node #2: [52, 2, 12] from Operation: 24-12=12 Current State: 38:[52, 2, 12], Operations: ['24-12=12'] Exploring Operation: 52-2=50, Resulting Numbers: [12, 50] Generated Node #3: [12, 50] from Operation: 52-2=50 Current State: 38:[12, 50], Operations: ['24-12=12', '52-2=50'] Exploring Operation: 50-12=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
Current State: 38:[12, 24, 52, 2], Operations: [] Exploring Operation: 24/12=2, Resulting Numbers: [52, 2, 2] Generated Node #0,0: 38:[52, 2, 2] Operation: 24/12=2 Exploring Operation: 12+24=36, Resulting Numbers: [52, 2, 36] Generated Node #0,1: 38:[52, 2, 36] Operation: 12+24=36 Exploring Operation: 52-12=40, Resulting Numbers: [24, 2, 40] Generated Node #0,2: 38:[24, 2, 40] Operation: 52-12=40 Start Sub Search at level 1: Moving to Node #0,2 Current State: 38:[24, 2, 40], Operations: ['52-12=40'] Exploring Operation: 40-2=38, Resulting Numbers: [24, 38] Generated Node #0,2,0: 38:[24, 38] Operation: 40-2=38 Exploring Operation: 24-2=22, Resulting Numbers: [40, 22] Generated Node #0,2,1: 38:[40, 22] Operation: 24-2=22 Exploring Operation: 40-24=16, Resulting Numbers: [2, 16] Generated Node #0,2,2: 38:[2, 16] Operation: 40-24=16 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 38:[2, 16], Operations: ['52-12=40', '40-24=16'] Exploring Operation: 16-2=14, Resulting Numbers: [14] 14,38 unequal: No Solution Exploring Operation: 2+16=18, Resulting Numbers: [18] 18,38 unequal: No Solution Exploring Operation: 2*16=32, Resulting Numbers: [32] 32,38 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 38:[24, 38], Operations: ['52-12=40', '40-2=38'] Exploring Operation: 38-24=14, Resulting Numbers: [14] 14,38 unequal: No Solution Exploring Operation: 24*38=912, Resulting Numbers: [912] 912,38 unequal: No Solution Exploring Operation: 24+38=62, Resulting Numbers: [62] 62,38 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 38:[40, 22], Operations: ['52-12=40', '24-2=22'] Exploring Operation: 40*22=880, Resulting Numbers: [880] 880,38 unequal: No Solution Exploring Operation: 40+22=62, Resulting Numbers: [62] 62,38 unequal: No Solution Exploring Operation: 40-22=18, Resulting Numbers: [18] 18,38 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 38:[52, 2, 2], Operations: ['24/12=2'] Exploring Operation: 52/2=26, Resulting Numbers: [2, 26] Generated Node #0,0,0: 38:[2, 26] Operation: 52/2=26 Exploring Operation: 52-2=50, Resulting Numbers: [2, 50] Generated Node #0,0,1: 38:[2, 50] Operation: 52-2=50 Exploring Operation: 52/2=26, Resulting Numbers: [2, 26] Generated Node #0,0,2: 38:[2, 26] Operation: 52/2=26 Moving to Node #0,0,0 Current State: 38:[2, 26], Operations: ['24/12=2', '52/2=26'] Exploring Operation: 26/2=13, Resulting Numbers: [13] 13,38 unequal: No Solution Exploring Operation: 26-2=24, Resulting Numbers: [24] 24,38 unequal: No Solution Exploring Operation: 2+26=28, Resulting Numbers: [28] 28,38 unequal: No Solution Moving to Node #0,0,2 Current State: 38:[2, 26], Operations: ['24/12=2', '52/2=26'] Exploring Operation: 2+26=28, Resulting Numbers: [28] 28,38 unequal: No Solution Exploring Operation: 26/2=13, Resulting Numbers: [13] 13,38 unequal: No Solution Exploring Operation: 26-2=24, Resulting Numbers: [24] 24,38 unequal: No Solution Moving to Node #0,0,1 Current State: 38:[2, 50], Operations: ['24/12=2', '52-2=50'] Exploring Operation: 2+50=52, Resulting Numbers: [52] 52,38 unequal: No Solution Exploring Operation: 50-2=48, Resulting Numbers: [48] 48,38 unequal: No Solution Exploring Operation: 50/2=25, Resulting Numbers: [25] 25,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 38:[52, 2, 36], Operations: ['12+24=36'] Exploring Operation: 52-2=50, Resulting Numbers: [36, 50] Generated Node #0,1,0: 38:[36, 50] Operation: 52-2=50 Exploring Operation: 52/2=26, Resulting Numbers: [36, 26] Generated Node #0,1,1: 38:[36, 26] Operation: 52/2=26 Exploring Operation: 52-36=16, Resulting Numbers: [2, 16] Generated Node #0,1,2: 38:[2, 16] Operation: 52-36=16 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 38:[2, 16], Operations: ['12+24=36', '52-36=16'] Exploring Operation: 2*16=32, Resulting Numbers: [32] 32,38 unequal: No Solution Exploring Operation: 16-2=14, Resulting Numbers: [14] 14,38 unequal: No Solution Exploring Operation: 2+16=18, Resulting Numbers: [18] 18,38 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 38:[36, 26], Operations: ['12+24=36', '52/2=26'] Exploring Operation: 36+26=62, Resulting Numbers: [62] 62,38 unequal: No Solution Exploring Operation: 36*26=936, Resulting Numbers: [936] 936,38 unequal: No Solution Exploring Operation: 36-26=10, Resulting Numbers: [10] 10,38 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 38:[36, 50], Operations: ['12+24=36', '52-2=50'] Exploring Operation: 36+50=86, Resulting Numbers: [86] 86,38 unequal: No Solution Exploring Operation: 36*50=1800, Resulting Numbers: [1800] 1800,38 unequal: No Solution Exploring Operation: 50-36=14, Resulting Numbers: [14] 14,38 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_3
mult_heuristic
[ 17, 6, 27, 35 ]
30
[ "35-17=18", "18/6=3", "27+3=30" ]
Current State: 30:[17, 6, 27, 35], Operations: [] Exploring Operation: 35-17=18, Resulting Numbers: [6, 27, 18] Generated Node #2: [6, 27, 18] from Operation: 35-17=18 Current State: 30:[6, 27, 18], Operations: ['35-17=18'] Exploring Operation: 18/6=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 18/6=3 Current State: 30:[27, 3], Operations: ['35-17=18', '18/6=3'] Exploring Operation: 27+3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
Current State: 30:[17, 6, 27, 35], Operations: [] Exploring Operation: 35-6=29, Resulting Numbers: [17, 27, 29] Generated Node #0,0: 30:[17, 27, 29] Operation: 35-6=29 Exploring Operation: 35-17=18, Resulting Numbers: [6, 27, 18] Generated Node #0,1: 30:[6, 27, 18] Operation: 35-17=18 Exploring Operation: 27-17=10, Resulting Numbers: [6, 35, 10] Generated Node #0,2: 30:[6, 35, 10] Operation: 27-17=10 Exploring Operation: 35-27=8, Resulting Numbers: [17, 6, 8] Generated Node #0,3: 30:[17, 6, 8] Operation: 35-27=8 Moving to Node #0,3 Current State: 30:[17, 6, 8], Operations: ['35-27=8'] Exploring Operation: 17-8=9, Resulting Numbers: [6, 9] Generated Node #0,3,0: 30:[6, 9] Operation: 17-8=9 Exploring Operation: 8-6=2, Resulting Numbers: [17, 2] Generated Node #0,3,1: 30:[17, 2] Operation: 8-6=2 Exploring Operation: 6+8=14, Resulting Numbers: [17, 14] Generated Node #0,3,2: 30:[17, 14] Operation: 6+8=14 Exploring Operation: 17-6=11, Resulting Numbers: [8, 11] Generated Node #0,3,3: 30:[8, 11] Operation: 17-6=11 Moving to Node #0,2 Current State: 30:[6, 35, 10], Operations: ['27-17=10'] Exploring Operation: 35-10=25, Resulting Numbers: [6, 25] Generated Node #0,2,0: 30:[6, 25] Operation: 35-10=25 Exploring Operation: 6+10=16, Resulting Numbers: [35, 16] Generated Node #0,2,1: 30:[35, 16] Operation: 6+10=16 Exploring Operation: 35-6=29, Resulting Numbers: [10, 29] Generated Node #0,2,2: 30:[10, 29] Operation: 35-6=29 Exploring Operation: 10-6=4, Resulting Numbers: [35, 4] Generated Node #0,2,3: 30:[35, 4] Operation: 10-6=4 Moving to Node #0,1 Current State: 30:[6, 27, 18], Operations: ['35-17=18'] Exploring Operation: 18/6=3, Resulting Numbers: [27, 3] Generated Node #0,1,0: 30:[27, 3] Operation: 18/6=3 Exploring Operation: 27-18=9, Resulting Numbers: [6, 9] Generated Node #0,1,1: 30:[6, 9] Operation: 27-18=9 Exploring Operation: 18-6=12, Resulting Numbers: [27, 12] Generated Node #0,1,2: 30:[27, 12] Operation: 18-6=12 Exploring Operation: 6+27=33, Resulting Numbers: [18, 33] Generated Node #0,1,3: 30:[18, 33] Operation: 6+27=33 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 30:[6, 9], Operations: ['35-17=18', '27-18=9'] Exploring Operation: 6+9=15, Resulting Numbers: [15] 15,30 unequal: No Solution Exploring Operation: 9-6=3, Resulting Numbers: [3] 3,30 unequal: No Solution Exploring Operation: 6*9=54, Resulting Numbers: [54] 54,30 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 30:[27, 3], Operations: ['35-17=18', '18/6=3'] Exploring Operation: 27-3=24, Resulting Numbers: [24] 24,30 unequal: No Solution Exploring Operation: 27*3=81, Resulting Numbers: [81] 81,30 unequal: No Solution Exploring Operation: 27/3=9, Resulting Numbers: [9] 9,30 unequal: No Solution Exploring Operation: 27+3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached Moving to Node #0 Current State: 30:[17, 6, 27, 35], Operations: [] Exploring Operation: 35-17=18, Resulting Numbers: [6, 27, 18] Generated Node #0,1: 30:[6, 27, 18] Operation: 35-17=18 Moving to Node #0,1 Current State: 30:[6, 27, 18], Operations: ['35-17=18'] Exploring Operation: 18/6=3, Resulting Numbers: [27, 3] Generated Node #0,1,0: 30:[27, 3] Operation: 18/6=3 Moving to Node #0,1,0 Current State: 30:[27, 3], Operations: ['35-17=18', '18/6=3'] Exploring Operation: 27+3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached Exit Sub Search at level 1
0.976563
hs_4
sum_heuristic
[ 67, 50, 37, 98 ]
71
[ "50+98=148", "148/37=4", "67+4=71" ]
Current State: 71:[67, 50, 37, 98], Operations: [] Exploring Operation: 50+98=148, Resulting Numbers: [67, 37, 148] Generated Node #2: [67, 37, 148] from Operation: 50+98=148 Current State: 71:[67, 37, 148], Operations: ['50+98=148'] Exploring Operation: 148/37=4, Resulting Numbers: [67, 4] Generated Node #3: [67, 4] from Operation: 148/37=4 Current State: 71:[67, 4], Operations: ['50+98=148', '148/37=4'] Exploring Operation: 67+4=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
Current State: 71:[67, 50, 37, 98], Operations: [] Exploring Operation: 98-37=61, Resulting Numbers: [67, 50, 61] Generated Node #0,0: 71:[67, 50, 61] Operation: 98-37=61 Moving to Node #0,0 Current State: 71:[67, 50, 61], Operations: ['98-37=61'] Exploring Operation: 50+61=111, Resulting Numbers: [67, 111] Generated Node #0,0,0: 71:[67, 111] Operation: 50+61=111 Moving to Node #0,0,0 Current State: 71:[67, 111], Operations: ['98-37=61', '50+61=111'] Exploring Operation: 111-67=44, Resulting Numbers: [44] 44,71 unequal: No Solution No solution found.
0
hs_1
sum_heuristic
[ 12, 25, 8, 24 ]
31
[ "12-8=4", "24/4=6", "25+6=31" ]
Current State: 31:[12, 25, 8, 24], Operations: [] Exploring Operation: 12-8=4, Resulting Numbers: [25, 24, 4] Generated Node #2: [25, 24, 4] from Operation: 12-8=4 Current State: 31:[25, 24, 4], Operations: ['12-8=4'] Exploring Operation: 24/4=6, Resulting Numbers: [25, 6] Generated Node #3: [25, 6] from Operation: 24/4=6 Current State: 31:[25, 6], Operations: ['12-8=4', '24/4=6'] Exploring Operation: 25+6=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
Current State: 31:[12, 25, 8, 24], Operations: [] Exploring Operation: 12+8=20, Resulting Numbers: [25, 24, 20] Generated Node #0,0: 31:[25, 24, 20] Operation: 12+8=20 Start Sub Search at level 1: Moving to Node #0,0 Current State: 31:[25, 24, 20], Operations: ['12+8=20'] Exploring Operation: 24+20=44, Resulting Numbers: [25, 44] Generated Node #0,0,0: 31:[25, 44] Operation: 24+20=44 Moving to Node #0,0,0 Current State: 31:[25, 44], Operations: ['12+8=20', '24+20=44'] Exploring Operation: 44-25=19, Resulting Numbers: [19] 19,31 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 74, 14, 47, 94 ]
53
[ "74+14=88", "47+94=141", "141-88=53" ]
Current State: 53:[74, 14, 47, 94], Operations: [] Exploring Operation: 74+14=88, Resulting Numbers: [47, 94, 88] Generated Node #2: [47, 94, 88] from Operation: 74+14=88 Current State: 53:[47, 94, 88], Operations: ['74+14=88'] Exploring Operation: 47+94=141, Resulting Numbers: [88, 141] Generated Node #3: [88, 141] from Operation: 47+94=141 Current State: 53:[88, 141], Operations: ['74+14=88', '47+94=141'] Exploring Operation: 141-88=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
Current State: 53:[74, 14, 47, 94], Operations: [] Exploring Operation: 74-14=60, Resulting Numbers: [47, 94, 60] Generated Node #0,0: 53:[47, 94, 60] Operation: 74-14=60 Exploring Operation: 94-14=80, Resulting Numbers: [74, 47, 80] Generated Node #0,1: 53:[74, 47, 80] Operation: 94-14=80 Start Sub Search at level 1: Moving to Node #0,0 Current State: 53:[47, 94, 60], Operations: ['74-14=60'] Exploring Operation: 94-47=47, Resulting Numbers: [60, 47] Generated Node #0,0,0: 53:[60, 47] Operation: 94-47=47 Exploring Operation: 94-60=34, Resulting Numbers: [47, 34] Generated Node #0,0,1: 53:[47, 34] Operation: 94-60=34 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 53:[60, 47], Operations: ['74-14=60', '94-47=47'] Exploring Operation: 60+47=107, Resulting Numbers: [107] 107,53 unequal: No Solution Exploring Operation: 60-47=13, Resulting Numbers: [13] 13,53 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 53:[47, 34], Operations: ['74-14=60', '94-60=34'] Exploring Operation: 47+34=81, Resulting Numbers: [81] 81,53 unequal: No Solution Exploring Operation: 47-34=13, Resulting Numbers: [13] 13,53 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 53:[74, 47, 80], Operations: ['94-14=80'] Exploring Operation: 80-47=33, Resulting Numbers: [74, 33] Generated Node #0,1,0: 53:[74, 33] Operation: 80-47=33 Exploring Operation: 74-47=27, Resulting Numbers: [80, 27] Generated Node #0,1,1: 53:[80, 27] Operation: 74-47=27 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 53:[74, 33], Operations: ['94-14=80', '80-47=33'] Exploring Operation: 74-33=41, Resulting Numbers: [41] 41,53 unequal: No Solution Exploring Operation: 74+33=107, Resulting Numbers: [107] 107,53 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 53:[80, 27], Operations: ['94-14=80', '74-47=27'] Exploring Operation: 80-27=53, Resulting Numbers: [53] 53,53 equal: Goal Reached Moving to Node #0 Current State: 53:[74, 14, 47, 94], Operations: [] Exploring Operation: 94-14=80, Resulting Numbers: [74, 47, 80] Generated Node #0,1: 53:[74, 47, 80] Operation: 94-14=80 Moving to Node #0,1 Current State: 53:[74, 47, 80], Operations: ['94-14=80'] Exploring Operation: 74-47=27, Resulting Numbers: [80, 27] Generated Node #0,1,1: 53:[80, 27] Operation: 74-47=27 Moving to Node #0,1,1 Current State: 53:[80, 27], Operations: ['94-14=80', '74-47=27'] Exploring Operation: 80-27=53, Resulting Numbers: [53] 53,53 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.985243
hs_2
sum_heuristic
[ 13, 68, 91, 47 ]
57
[ "13+68=81", "91+47=138", "138-81=57" ]
Current State: 57:[13, 68, 91, 47], Operations: [] Exploring Operation: 13+68=81, Resulting Numbers: [91, 47, 81] Generated Node #2: [91, 47, 81] from Operation: 13+68=81 Current State: 57:[91, 47, 81], Operations: ['13+68=81'] Exploring Operation: 91+47=138, Resulting Numbers: [81, 138] Generated Node #3: [81, 138] from Operation: 91+47=138 Current State: 57:[81, 138], Operations: ['13+68=81', '91+47=138'] Exploring Operation: 138-81=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
Current State: 57:[13, 68, 91, 47], Operations: [] Exploring Operation: 91-68=23, Resulting Numbers: [13, 47, 23] Generated Node #0,0: 57:[13, 47, 23] Operation: 91-68=23 Moving to Node #0,0 Current State: 57:[13, 47, 23], Operations: ['91-68=23'] Exploring Operation: 13+47=60, Resulting Numbers: [23, 60] Generated Node #0,0,0: 57:[23, 60] Operation: 13+47=60 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 57:[23, 60], Operations: ['91-68=23', '13+47=60'] Exploring Operation: 60-23=37, Resulting Numbers: [37] 37,57 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
mult_heuristic
[ 91, 37, 56, 37 ]
36
[ "91-56=35", "37/37=1", "35+1=36" ]
Current State: 36:[91, 37, 56, 37], Operations: [] Exploring Operation: 91-56=35, Resulting Numbers: [37, 37, 35] Generated Node #2: [37, 37, 35] from Operation: 91-56=35 Current State: 36:[37, 37, 35], Operations: ['91-56=35'] Exploring Operation: 37/37=1, Resulting Numbers: [35, 1] Generated Node #3: [35, 1] from Operation: 37/37=1 Current State: 36:[35, 1], Operations: ['91-56=35', '37/37=1'] Exploring Operation: 35+1=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
Current State: 36:[91, 37, 56, 37], Operations: [] Exploring Operation: 91-56=35, Resulting Numbers: [37, 37, 35] Generated Node #0,0: 36:[37, 37, 35] Operation: 91-56=35 Exploring Operation: 91-37=54, Resulting Numbers: [37, 56, 54] Generated Node #0,1: 36:[37, 56, 54] Operation: 91-37=54 Exploring Operation: 91-37=54, Resulting Numbers: [56, 37, 54] Generated Node #0,2: 36:[56, 37, 54] Operation: 91-37=54 Moving to Node #0,0 Current State: 36:[37, 37, 35], Operations: ['91-56=35'] Exploring Operation: 37/37=1, Resulting Numbers: [35, 1] Generated Node #0,0,0: 36:[35, 1] Operation: 37/37=1 Exploring Operation: 37-35=2, Resulting Numbers: [37, 2] Generated Node #0,0,1: 36:[37, 2] Operation: 37-35=2 Exploring Operation: 37-35=2, Resulting Numbers: [37, 2] Generated Node #0,0,2: 36:[37, 2] Operation: 37-35=2 Moving to Node #0,1 Current State: 36:[37, 56, 54], Operations: ['91-37=54'] Exploring Operation: 54-37=17, Resulting Numbers: [56, 17] Generated Node #0,1,0: 36:[56, 17] Operation: 54-37=17 Exploring Operation: 56-54=2, Resulting Numbers: [37, 2] Generated Node #0,1,1: 36:[37, 2] Operation: 56-54=2 Exploring Operation: 56-37=19, Resulting Numbers: [54, 19] Generated Node #0,1,2: 36:[54, 19] Operation: 56-37=19 Moving to Node #0,2 Current State: 36:[56, 37, 54], Operations: ['91-37=54'] Exploring Operation: 54-37=17, Resulting Numbers: [56, 17] Generated Node #0,2,0: 36:[56, 17] Operation: 54-37=17 Exploring Operation: 56-37=19, Resulting Numbers: [54, 19] Generated Node #0,2,1: 36:[54, 19] Operation: 56-37=19 Exploring Operation: 56-54=2, Resulting Numbers: [37, 2] Generated Node #0,2,2: 36:[37, 2] Operation: 56-54=2 Moving to Node #0,0,1 Current State: 36:[37, 2], Operations: ['91-56=35', '37-35=2'] Exploring Operation: 37*2=74, Resulting Numbers: [74] 74,36 unequal: No Solution Exploring Operation: 37+2=39, Resulting Numbers: [39] 39,36 unequal: No Solution Exploring Operation: 37-2=35, Resulting Numbers: [35] 35,36 unequal: No Solution Moving to Node #0,2,2 Current State: 36:[37, 2], Operations: ['91-37=54', '56-54=2'] Exploring Operation: 37+2=39, Resulting Numbers: [39] 39,36 unequal: No Solution Exploring Operation: 37*2=74, Resulting Numbers: [74] 74,36 unequal: No Solution Exploring Operation: 37-2=35, Resulting Numbers: [35] 35,36 unequal: No Solution Moving to Node #0,0,2 Current State: 36:[37, 2], Operations: ['91-56=35', '37-35=2'] Exploring Operation: 37-2=35, Resulting Numbers: [35] 35,36 unequal: No Solution Exploring Operation: 37+2=39, Resulting Numbers: [39] 39,36 unequal: No Solution Exploring Operation: 37*2=74, Resulting Numbers: [74] 74,36 unequal: No Solution Moving to Node #0,1,1 Current State: 36:[37, 2], Operations: ['91-37=54', '56-54=2'] Exploring Operation: 37*2=74, Resulting Numbers: [74] 74,36 unequal: No Solution Exploring Operation: 37-2=35, Resulting Numbers: [35] 35,36 unequal: No Solution Exploring Operation: 37+2=39, Resulting Numbers: [39] 39,36 unequal: No Solution Moving to Node #0,0,0 Current State: 36:[35, 1], Operations: ['91-56=35', '37/37=1'] Exploring Operation: 35+1=36, Resulting Numbers: [36] 36,36 equal: Goal Reached Moving to Node #0 Current State: 36:[91, 37, 56, 37], Operations: [] Exploring Operation: 91-56=35, Resulting Numbers: [37, 37, 35] Generated Node #0,0: 36:[37, 37, 35] Operation: 91-56=35 Moving to Node #0,0 Current State: 36:[37, 37, 35], Operations: ['91-56=35'] Exploring Operation: 37/37=1, Resulting Numbers: [35, 1] Generated Node #0,0,0: 36:[35, 1] Operation: 37/37=1 Moving to Node #0,0,0 Current State: 36:[35, 1], Operations: ['91-56=35', '37/37=1'] Exploring Operation: 35+1=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
0.974826
hs_3
mult_heuristic
[ 1, 66, 36, 40 ]
11
[ "66-1=65", "36+40=76", "76-65=11" ]
Current State: 11:[1, 66, 36, 40], Operations: [] Exploring Operation: 66-1=65, Resulting Numbers: [36, 40, 65] Generated Node #2: [36, 40, 65] from Operation: 66-1=65 Current State: 11:[36, 40, 65], Operations: ['66-1=65'] Exploring Operation: 36+40=76, Resulting Numbers: [65, 76] Generated Node #3: [65, 76] from Operation: 36+40=76 Current State: 11:[65, 76], Operations: ['66-1=65', '36+40=76'] Exploring Operation: 76-65=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
Current State: 11:[1, 66, 36, 40], Operations: [] Exploring Operation: 66-36=30, Resulting Numbers: [1, 40, 30] Generated Node #0,0: 11:[1, 40, 30] Operation: 66-36=30 Exploring Operation: 66-40=26, Resulting Numbers: [1, 36, 26] Generated Node #0,1: 11:[1, 36, 26] Operation: 66-40=26 Exploring Operation: 40-36=4, Resulting Numbers: [1, 66, 4] Generated Node #0,2: 11:[1, 66, 4] Operation: 40-36=4 Moving to Node #0,1 Current State: 11:[1, 36, 26], Operations: ['66-40=26'] Exploring Operation: 36-26=10, Resulting Numbers: [1, 10] Generated Node #0,1,0: 11:[1, 10] Operation: 36-26=10 Exploring Operation: 36-1=35, Resulting Numbers: [26, 35] Generated Node #0,1,1: 11:[26, 35] Operation: 36-1=35 Exploring Operation: 26-1=25, Resulting Numbers: [36, 25] Generated Node #0,1,2: 11:[36, 25] Operation: 26-1=25 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 11:[1, 10], Operations: ['66-40=26', '36-26=10'] Exploring Operation: 1+10=11, Resulting Numbers: [11] 11,11 equal: Goal Reached Moving to Node #0 Current State: 11:[1, 66, 36, 40], Operations: [] Exploring Operation: 66-40=26, Resulting Numbers: [1, 36, 26] Generated Node #0,1: 11:[1, 36, 26] Operation: 66-40=26 Moving to Node #0,1 Current State: 11:[1, 36, 26], Operations: ['66-40=26'] Exploring Operation: 36-26=10, Resulting Numbers: [1, 10] Generated Node #0,1,0: 11:[1, 10] Operation: 36-26=10 Moving to Node #0,1,0 Current State: 11:[1, 10], Operations: ['66-40=26', '36-26=10'] Exploring Operation: 1+10=11, Resulting Numbers: [11] 11,11 equal: Goal Reached Exit Sub Search at level 1
0.990451
hs_3
sum_heuristic
[ 31, 21, 7, 9 ]
19
[ "31-9=22", "21/7=3", "22-3=19" ]
Current State: 19:[31, 21, 7, 9], Operations: [] Exploring Operation: 31-9=22, Resulting Numbers: [21, 7, 22] Generated Node #2: [21, 7, 22] from Operation: 31-9=22 Current State: 19:[21, 7, 22], Operations: ['31-9=22'] Exploring Operation: 21/7=3, Resulting Numbers: [22, 3] Generated Node #3: [22, 3] from Operation: 21/7=3 Current State: 19:[22, 3], Operations: ['31-9=22', '21/7=3'] Exploring Operation: 22-3=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
Current State: 19:[31, 21, 7, 9], Operations: [] Exploring Operation: 7+9=16, Resulting Numbers: [31, 21, 16] Generated Node #0,0: 19:[31, 21, 16] Operation: 7+9=16 Exploring Operation: 21-7=14, Resulting Numbers: [31, 9, 14] Generated Node #0,1: 19:[31, 9, 14] Operation: 21-7=14 Exploring Operation: 31-7=24, Resulting Numbers: [21, 9, 24] Generated Node #0,2: 19:[21, 9, 24] Operation: 31-7=24 Exploring Operation: 31-9=22, Resulting Numbers: [21, 7, 22] Generated Node #0,3: 19:[21, 7, 22] Operation: 31-9=22 Start Sub Search at level 1: Moving to Node #0,0 Current State: 19:[31, 21, 16], Operations: ['7+9=16'] Exploring Operation: 31-21=10, Resulting Numbers: [16, 10] Generated Node #0,0,0: 19:[16, 10] Operation: 31-21=10 Exploring Operation: 31+16=47, Resulting Numbers: [21, 47] Generated Node #0,0,1: 19:[21, 47] Operation: 31+16=47 Exploring Operation: 31-16=15, Resulting Numbers: [21, 15] Generated Node #0,0,2: 19:[21, 15] Operation: 31-16=15 Exploring Operation: 21-16=5, Resulting Numbers: [31, 5] Generated Node #0,0,3: 19:[31, 5] Operation: 21-16=5 Moving to Node #0,0,2 Current State: 19:[21, 15], Operations: ['7+9=16', '31-16=15'] Exploring Operation: 21+15=36, Resulting Numbers: [36] 36,19 unequal: No Solution Exploring Operation: 21*15=315, Resulting Numbers: [315] 315,19 unequal: No Solution Exploring Operation: 21-15=6, Resulting Numbers: [6] 6,19 unequal: No Solution Moving to Node #0,0,0 Current State: 19:[16, 10], Operations: ['7+9=16', '31-21=10'] Exploring Operation: 16*10=160, Resulting Numbers: [160] 160,19 unequal: No Solution Exploring Operation: 16+10=26, Resulting Numbers: [26] 26,19 unequal: No Solution Exploring Operation: 16-10=6, Resulting Numbers: [6] 6,19 unequal: No Solution Moving to Node #0,0,3 Current State: 19:[31, 5], Operations: ['7+9=16', '21-16=5'] Exploring Operation: 31-5=26, Resulting Numbers: [26] 26,19 unequal: No Solution Exploring Operation: 31+5=36, Resulting Numbers: [36] 36,19 unequal: No Solution Exploring Operation: 31*5=155, Resulting Numbers: [155] 155,19 unequal: No Solution Moving to Node #0,0,1 Current State: 19:[21, 47], Operations: ['7+9=16', '31+16=47'] Exploring Operation: 47-21=26, Resulting Numbers: [26] 26,19 unequal: No Solution Exploring Operation: 21+47=68, Resulting Numbers: [68] 68,19 unequal: No Solution Exploring Operation: 21*47=987, Resulting Numbers: [987] 987,19 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 19:[21, 9, 24], Operations: ['31-7=24'] Exploring Operation: 9+24=33, Resulting Numbers: [21, 33] Generated Node #0,2,0: 19:[21, 33] Operation: 9+24=33 Exploring Operation: 21-9=12, Resulting Numbers: [24, 12] Generated Node #0,2,1: 19:[24, 12] Operation: 21-9=12 Exploring Operation: 21+9=30, Resulting Numbers: [24, 30] Generated Node #0,2,2: 19:[24, 30] Operation: 21+9=30 Exploring Operation: 24-9=15, Resulting Numbers: [21, 15] Generated Node #0,2,3: 19:[21, 15] Operation: 24-9=15 Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 19:[21, 15], Operations: ['31-7=24', '24-9=15'] Exploring Operation: 21*15=315, Resulting Numbers: [315] 315,19 unequal: No Solution Exploring Operation: 21-15=6, Resulting Numbers: [6] 6,19 unequal: No Solution Exploring Operation: 21+15=36, Resulting Numbers: [36] 36,19 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 19:[24, 12], Operations: ['31-7=24', '21-9=12'] Exploring Operation: 24/12=2, Resulting Numbers: [2] 2,19 unequal: No Solution Exploring Operation: 24-12=12, Resulting Numbers: [12] 12,19 unequal: No Solution Exploring Operation: 24*12=288, Resulting Numbers: [288] 288,19 unequal: No Solution Exploring Operation: 24+12=36, Resulting Numbers: [36] 36,19 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 19:[21, 33], Operations: ['31-7=24', '9+24=33'] Exploring Operation: 33-21=12, Resulting Numbers: [12] 12,19 unequal: No Solution Exploring Operation: 21*33=693, Resulting Numbers: [693] 693,19 unequal: No Solution Exploring Operation: 21+33=54, Resulting Numbers: [54] 54,19 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 19:[24, 30], Operations: ['31-7=24', '21+9=30'] Exploring Operation: 30-24=6, Resulting Numbers: [6] 6,19 unequal: No Solution Exploring Operation: 24+30=54, Resulting Numbers: [54] 54,19 unequal: No Solution Exploring Operation: 24*30=720, Resulting Numbers: [720] 720,19 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 19:[21, 7, 22], Operations: ['31-9=22'] Exploring Operation: 7+22=29, Resulting Numbers: [21, 29] Generated Node #0,3,0: 19:[21, 29] Operation: 7+22=29 Exploring Operation: 21-7=14, Resulting Numbers: [22, 14] Generated Node #0,3,1: 19:[22, 14] Operation: 21-7=14 Exploring Operation: 22-7=15, Resulting Numbers: [21, 15] Generated Node #0,3,2: 19:[21, 15] Operation: 22-7=15 Exploring Operation: 21+7=28, Resulting Numbers: [22, 28] Generated Node #0,3,3: 19:[22, 28] Operation: 21+7=28 Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 19:[21, 15], Operations: ['31-9=22', '22-7=15'] Exploring Operation: 21-15=6, Resulting Numbers: [6] 6,19 unequal: No Solution Exploring Operation: 21+15=36, Resulting Numbers: [36] 36,19 unequal: No Solution Exploring Operation: 21*15=315, Resulting Numbers: [315] 315,19 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 19:[22, 14], Operations: ['31-9=22', '21-7=14'] Exploring Operation: 22*14=308, Resulting Numbers: [308] 308,19 unequal: No Solution Exploring Operation: 22-14=8, Resulting Numbers: [8] 8,19 unequal: No Solution Exploring Operation: 22+14=36, Resulting Numbers: [36] 36,19 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 19:[21, 29], Operations: ['31-9=22', '7+22=29'] Exploring Operation: 21*29=609, Resulting Numbers: [609] 609,19 unequal: No Solution Exploring Operation: 21+29=50, Resulting Numbers: [50] 50,19 unequal: No Solution Exploring Operation: 29-21=8, Resulting Numbers: [8] 8,19 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 19:[22, 28], Operations: ['31-9=22', '21+7=28'] Exploring Operation: 28-22=6, Resulting Numbers: [6] 6,19 unequal: No Solution Exploring Operation: 22*28=616, Resulting Numbers: [616] 616,19 unequal: No Solution Exploring Operation: 22+28=50, Resulting Numbers: [50] 50,19 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 19:[31, 9, 14], Operations: ['21-7=14'] Exploring Operation: 31-9=22, Resulting Numbers: [14, 22] Generated Node #0,1,0: 19:[14, 22] Operation: 31-9=22 Exploring Operation: 31+9=40, Resulting Numbers: [14, 40] Generated Node #0,1,1: 19:[14, 40] Operation: 31+9=40 Exploring Operation: 9+14=23, Resulting Numbers: [31, 23] Generated Node #0,1,2: 19:[31, 23] Operation: 9+14=23 Exploring Operation: 31-14=17, Resulting Numbers: [9, 17] Generated Node #0,1,3: 19:[9, 17] Operation: 31-14=17 Moving to Node #0,1,0 Current State: 19:[14, 22], Operations: ['21-7=14', '31-9=22'] Exploring Operation: 22-14=8, Resulting Numbers: [8] 8,19 unequal: No Solution Exploring Operation: 14+22=36, Resulting Numbers: [36] 36,19 unequal: No Solution Exploring Operation: 14*22=308, Resulting Numbers: [308] 308,19 unequal: No Solution Moving to Node #0,1,3 Current State: 19:[9, 17], Operations: ['21-7=14', '31-14=17'] Exploring Operation: 9*17=153, Resulting Numbers: [153] 153,19 unequal: No Solution Exploring Operation: 9+17=26, Resulting Numbers: [26] 26,19 unequal: No Solution Exploring Operation: 17-9=8, Resulting Numbers: [8] 8,19 unequal: No Solution Moving to Node #0,1,2 Current State: 19:[31, 23], Operations: ['21-7=14', '9+14=23'] Exploring Operation: 31*23=713, Resulting Numbers: [713] 713,19 unequal: No Solution Exploring Operation: 31-23=8, Resulting Numbers: [8] 8,19 unequal: No Solution Exploring Operation: 31+23=54, Resulting Numbers: [54] 54,19 unequal: No Solution Moving to Node #0,1,1 Current State: 19:[14, 40], Operations: ['21-7=14', '31+9=40'] Exploring Operation: 40-14=26, Resulting Numbers: [26] 26,19 unequal: No Solution Exploring Operation: 14+40=54, Resulting Numbers: [54] 54,19 unequal: No Solution Exploring Operation: 14*40=560, Resulting Numbers: [560] 560,19 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
mult_heuristic
[ 6, 4, 79, 56 ]
46
[ "6-4=2", "79-56=23", "2*23=46" ]
Current State: 46:[6, 4, 79, 56], Operations: [] Exploring Operation: 6-4=2, Resulting Numbers: [79, 56, 2] Generated Node #2: [79, 56, 2] from Operation: 6-4=2 Current State: 46:[79, 56, 2], Operations: ['6-4=2'] Exploring Operation: 79-56=23, Resulting Numbers: [2, 23] Generated Node #3: [2, 23] from Operation: 79-56=23 Current State: 46:[2, 23], Operations: ['6-4=2', '79-56=23'] Exploring Operation: 2*23=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
Current State: 46:[6, 4, 79, 56], Operations: [] Exploring Operation: 79-56=23, Resulting Numbers: [6, 4, 23] Generated Node #0,0: 46:[6, 4, 23] Operation: 79-56=23 Exploring Operation: 79-6=73, Resulting Numbers: [4, 56, 73] Generated Node #0,1: 46:[4, 56, 73] Operation: 79-6=73 Moving to Node #0,0 Current State: 46:[6, 4, 23], Operations: ['79-56=23'] Exploring Operation: 6-4=2, Resulting Numbers: [23, 2] Generated Node #0,0,0: 46:[23, 2] Operation: 6-4=2 Exploring Operation: 6*4=24, Resulting Numbers: [23, 24] Generated Node #0,0,1: 46:[23, 24] Operation: 6*4=24 Moving to Node #0,1 Current State: 46:[4, 56, 73], Operations: ['79-6=73'] Exploring Operation: 73-56=17, Resulting Numbers: [4, 17] Generated Node #0,1,0: 46:[4, 17] Operation: 73-56=17 Exploring Operation: 56-4=52, Resulting Numbers: [73, 52] Generated Node #0,1,1: 46:[73, 52] Operation: 56-4=52 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 46:[4, 17], Operations: ['79-6=73', '73-56=17'] Exploring Operation: 17-4=13, Resulting Numbers: [13] 13,46 unequal: No Solution Exploring Operation: 4+17=21, Resulting Numbers: [21] 21,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 46:[73, 52], Operations: ['79-6=73', '56-4=52'] Exploring Operation: 73-52=21, Resulting Numbers: [21] 21,46 unequal: No Solution Exploring Operation: 73+52=125, Resulting Numbers: [125] 125,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0,0 Current State: 46:[23, 2], Operations: ['79-56=23', '6-4=2'] Exploring Operation: 23*2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached Moving to Node #0 Current State: 46:[6, 4, 79, 56], Operations: [] Exploring Operation: 79-56=23, Resulting Numbers: [6, 4, 23] Generated Node #0,0: 46:[6, 4, 23] Operation: 79-56=23 Moving to Node #0,0 Current State: 46:[6, 4, 23], Operations: ['79-56=23'] Exploring Operation: 6-4=2, Resulting Numbers: [23, 2] Generated Node #0,0,0: 46:[23, 2] Operation: 6-4=2 Moving to Node #0,0,0 Current State: 46:[23, 2], Operations: ['79-56=23', '6-4=2'] Exploring Operation: 23*2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
0.986979
hs_2
mult_heuristic
[ 45, 48, 2, 84 ]
90
[ "48-45=3", "2*3=6", "84+6=90" ]
Current State: 90:[45, 48, 2, 84], Operations: [] Exploring Operation: 48-45=3, Resulting Numbers: [2, 84, 3] Generated Node #2: [2, 84, 3] from Operation: 48-45=3 Current State: 90:[2, 84, 3], Operations: ['48-45=3'] Exploring Operation: 2*3=6, Resulting Numbers: [84, 6] Generated Node #3: [84, 6] from Operation: 2*3=6 Current State: 90:[84, 6], Operations: ['48-45=3', '2*3=6'] Exploring Operation: 84+6=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
Current State: 90:[45, 48, 2, 84], Operations: [] Exploring Operation: 84/2=42, Resulting Numbers: [45, 48, 42] Generated Node #0,0: 90:[45, 48, 42] Operation: 84/2=42 Exploring Operation: 48-2=46, Resulting Numbers: [45, 84, 46] Generated Node #0,1: 90:[45, 84, 46] Operation: 48-2=46 Exploring Operation: 48-45=3, Resulting Numbers: [2, 84, 3] Generated Node #0,2: 90:[2, 84, 3] Operation: 48-45=3 Exploring Operation: 84-48=36, Resulting Numbers: [45, 2, 36] Generated Node #0,3: 90:[45, 2, 36] Operation: 84-48=36 Moving to Node #0,0 Current State: 90:[45, 48, 42], Operations: ['84/2=42'] Exploring Operation: 45-42=3, Resulting Numbers: [48, 3] Generated Node #0,0,0: 90:[48, 3] Operation: 45-42=3 Exploring Operation: 48-42=6, Resulting Numbers: [45, 6] Generated Node #0,0,1: 90:[45, 6] Operation: 48-42=6 Exploring Operation: 48-45=3, Resulting Numbers: [42, 3] Generated Node #0,0,2: 90:[42, 3] Operation: 48-45=3 Exploring Operation: 48+42=90, Resulting Numbers: [45, 90] Generated Node #0,0,3: 90:[45, 90] Operation: 48+42=90 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 90:[45, 6], Operations: ['84/2=42', '48-42=6'] Exploring Operation: 45*6=270, Resulting Numbers: [270] 270,90 unequal: No Solution Exploring Operation: 45-6=39, Resulting Numbers: [39] 39,90 unequal: No Solution Exploring Operation: 45+6=51, Resulting Numbers: [51] 51,90 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 90:[45, 90], Operations: ['84/2=42', '48+42=90'] Exploring Operation: 45*90=4050, Resulting Numbers: [4050] 4050,90 unequal: No Solution Exploring Operation: 45+90=135, Resulting Numbers: [135] 135,90 unequal: No Solution Exploring Operation: 90/45=2, Resulting Numbers: [2] 2,90 unequal: No Solution Exploring Operation: 90-45=45, Resulting Numbers: [45] 45,90 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 90:[48, 3], Operations: ['84/2=42', '45-42=3'] Exploring Operation: 48*3=144, Resulting Numbers: [144] 144,90 unequal: No Solution Exploring Operation: 48-3=45, Resulting Numbers: [45] 45,90 unequal: No Solution Exploring Operation: 48+3=51, Resulting Numbers: [51] 51,90 unequal: No Solution Exploring Operation: 48/3=16, Resulting Numbers: [16] 16,90 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 90:[42, 3], Operations: ['84/2=42', '48-45=3'] Exploring Operation: 42+3=45, Resulting Numbers: [45] 45,90 unequal: No Solution Exploring Operation: 42*3=126, Resulting Numbers: [126] 126,90 unequal: No Solution Exploring Operation: 42-3=39, Resulting Numbers: [39] 39,90 unequal: No Solution Exploring Operation: 42/3=14, Resulting Numbers: [14] 14,90 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 90:[45, 2, 36], Operations: ['84-48=36'] Exploring Operation: 45-36=9, Resulting Numbers: [2, 9] Generated Node #0,3,0: 90:[2, 9] Operation: 45-36=9 Exploring Operation: 36/2=18, Resulting Numbers: [45, 18] Generated Node #0,3,1: 90:[45, 18] Operation: 36/2=18 Exploring Operation: 45*2=90, Resulting Numbers: [36, 90] Generated Node #0,3,2: 90:[36, 90] Operation: 45*2=90 Exploring Operation: 36-2=34, Resulting Numbers: [45, 34] Generated Node #0,3,3: 90:[45, 34] Operation: 36-2=34 Moving to Node #0,2 Current State: 90:[2, 84, 3], Operations: ['48-45=3'] Exploring Operation: 2+84=86, Resulting Numbers: [3, 86] Generated Node #0,2,0: 90:[3, 86] Operation: 2+84=86 Exploring Operation: 84+3=87, Resulting Numbers: [2, 87] Generated Node #0,2,1: 90:[2, 87] Operation: 84+3=87 Exploring Operation: 84/2=42, Resulting Numbers: [3, 42] Generated Node #0,2,2: 90:[3, 42] Operation: 84/2=42 Exploring Operation: 84/3=28, Resulting Numbers: [2, 28] Generated Node #0,2,3: 90:[2, 28] Operation: 84/3=28 Moving to Node #0,1 Current State: 90:[45, 84, 46], Operations: ['48-2=46'] Exploring Operation: 46-45=1, Resulting Numbers: [84, 1] Generated Node #0,1,0: 90:[84, 1] Operation: 46-45=1 Exploring Operation: 45+46=91, Resulting Numbers: [84, 91] Generated Node #0,1,1: 90:[84, 91] Operation: 45+46=91 Exploring Operation: 84-46=38, Resulting Numbers: [45, 38] Generated Node #0,1,2: 90:[45, 38] Operation: 84-46=38 Exploring Operation: 84-45=39, Resulting Numbers: [46, 39] Generated Node #0,1,3: 90:[46, 39] Operation: 84-45=39 Moving to Node #0,3,0 Current State: 90:[2, 9], Operations: ['84-48=36', '45-36=9'] Exploring Operation: 2+9=11, Resulting Numbers: [11] 11,90 unequal: No Solution Exploring Operation: 9-2=7, Resulting Numbers: [7] 7,90 unequal: No Solution Exploring Operation: 2*9=18, Resulting Numbers: [18] 18,90 unequal: No Solution Moving to Node #0,3,1 Current State: 90:[45, 18], Operations: ['84-48=36', '36/2=18'] Exploring Operation: 45*18=810, Resulting Numbers: [810] 810,90 unequal: No Solution Exploring Operation: 45-18=27, Resulting Numbers: [27] 27,90 unequal: No Solution Exploring Operation: 45+18=63, Resulting Numbers: [63] 63,90 unequal: No Solution Moving to Node #0,2,3 Current State: 90:[2, 28], Operations: ['48-45=3', '84/3=28'] Exploring Operation: 2+28=30, Resulting Numbers: [30] 30,90 unequal: No Solution Exploring Operation: 2*28=56, Resulting Numbers: [56] 56,90 unequal: No Solution Exploring Operation: 28-2=26, Resulting Numbers: [26] 26,90 unequal: No Solution Exploring Operation: 28/2=14, Resulting Numbers: [14] 14,90 unequal: No Solution Moving to Node #0,2,1 Current State: 90:[2, 87], Operations: ['48-45=3', '84+3=87'] Exploring Operation: 2+87=89, Resulting Numbers: [89] 89,90 unequal: No Solution Exploring Operation: 87-2=85, Resulting Numbers: [85] 85,90 unequal: No Solution Exploring Operation: 2*87=174, Resulting Numbers: [174] 174,90 unequal: No Solution Moving to Node #0,2,2 Current State: 90:[3, 42], Operations: ['48-45=3', '84/2=42'] Exploring Operation: 3*42=126, Resulting Numbers: [126] 126,90 unequal: No Solution Exploring Operation: 3+42=45, Resulting Numbers: [45] 45,90 unequal: No Solution Exploring Operation: 42-3=39, Resulting Numbers: [39] 39,90 unequal: No Solution Exploring Operation: 42/3=14, Resulting Numbers: [14] 14,90 unequal: No Solution Moving to Node #0,3,3 Current State: 90:[45, 34], Operations: ['84-48=36', '36-2=34'] Exploring Operation: 45+34=79, Resulting Numbers: [79] 79,90 unequal: No Solution Exploring Operation: 45*34=1530, Resulting Numbers: [1530] 1530,90 unequal: No Solution Exploring Operation: 45-34=11, Resulting Numbers: [11] 11,90 unequal: No Solution Moving to Node #0,2,0 Current State: 90:[3, 86], Operations: ['48-45=3', '2+84=86'] Exploring Operation: 3*86=258, Resulting Numbers: [258] 258,90 unequal: No Solution Exploring Operation: 3+86=89, Resulting Numbers: [89] 89,90 unequal: No Solution Exploring Operation: 86-3=83, Resulting Numbers: [83] 83,90 unequal: No Solution Moving to Node #0,3,2 Current State: 90:[36, 90], Operations: ['84-48=36', '45*2=90'] Exploring Operation: 90-36=54, Resulting Numbers: [54] 54,90 unequal: No Solution Exploring Operation: 36+90=126, Resulting Numbers: [126] 126,90 unequal: No Solution Exploring Operation: 36*90=3240, Resulting Numbers: [3240] 3240,90 unequal: No Solution Moving to Node #0,1,1 Current State: 90:[84, 91], Operations: ['48-2=46', '45+46=91'] Exploring Operation: 84*91=7644, Resulting Numbers: [7644] 7644,90 unequal: No Solution Exploring Operation: 84+91=175, Resulting Numbers: [175] 175,90 unequal: No Solution Exploring Operation: 91-84=7, Resulting Numbers: [7] 7,90 unequal: No Solution Moving to Node #0,1,0 Current State: 90:[84, 1], Operations: ['48-2=46', '46-45=1'] Exploring Operation: 84*1=84, Resulting Numbers: [84] 84,90 unequal: No Solution Exploring Operation: 84+1=85, Resulting Numbers: [85] 85,90 unequal: No Solution Exploring Operation: 84-1=83, Resulting Numbers: [83] 83,90 unequal: No Solution Exploring Operation: 84/1=84, Resulting Numbers: [84] 84,90 unequal: No Solution Moving to Node #0,1,2 Current State: 90:[45, 38], Operations: ['48-2=46', '84-46=38'] Exploring Operation: 45-38=7, Resulting Numbers: [7] 7,90 unequal: No Solution Exploring Operation: 45+38=83, Resulting Numbers: [83] 83,90 unequal: No Solution Exploring Operation: 45*38=1710, Resulting Numbers: [1710] 1710,90 unequal: No Solution Moving to Node #0,1,3 Current State: 90:[46, 39], Operations: ['48-2=46', '84-45=39'] Exploring Operation: 46+39=85, Resulting Numbers: [85] 85,90 unequal: No Solution Exploring Operation: 46-39=7, Resulting Numbers: [7] 7,90 unequal: No Solution Exploring Operation: 46*39=1794, Resulting Numbers: [1794] 1794,90 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 57, 93, 3, 63 ]
33
[ "93-57=36", "63+36=99", "99/3=33" ]
Current State: 33:[57, 93, 3, 63], Operations: [] Exploring Operation: 93-57=36, Resulting Numbers: [3, 63, 36] Generated Node #2: [3, 63, 36] from Operation: 93-57=36 Current State: 33:[3, 63, 36], Operations: ['93-57=36'] Exploring Operation: 63+36=99, Resulting Numbers: [3, 99] Generated Node #3: [3, 99] from Operation: 63+36=99 Current State: 33:[3, 99], Operations: ['93-57=36', '63+36=99'] Exploring Operation: 99/3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
Current State: 33:[57, 93, 3, 63], Operations: [] Exploring Operation: 93-57=36, Resulting Numbers: [3, 63, 36] Generated Node #0,0: 33:[3, 63, 36] Operation: 93-57=36 Exploring Operation: 93/3=31, Resulting Numbers: [57, 63, 31] Generated Node #0,1: 33:[57, 63, 31] Operation: 93/3=31 Exploring Operation: 93-63=30, Resulting Numbers: [57, 3, 30] Generated Node #0,2: 33:[57, 3, 30] Operation: 93-63=30 Exploring Operation: 63/3=21, Resulting Numbers: [57, 93, 21] Generated Node #0,3: 33:[57, 93, 21] Operation: 63/3=21 Exploring Operation: 63-57=6, Resulting Numbers: [93, 3, 6] Generated Node #0,4: 33:[93, 3, 6] Operation: 63-57=6 Moving to Node #0,2 Current State: 33:[57, 3, 30], Operations: ['93-63=30'] Exploring Operation: 30/3=10, Resulting Numbers: [57, 10] Generated Node #0,2,0: 33:[57, 10] Operation: 30/3=10 Exploring Operation: 57-3=54, Resulting Numbers: [30, 54] Generated Node #0,2,1: 33:[30, 54] Operation: 57-3=54 Exploring Operation: 3+30=33, Resulting Numbers: [57, 33] Generated Node #0,2,2: 33:[57, 33] Operation: 3+30=33 Exploring Operation: 57-30=27, Resulting Numbers: [3, 27] Generated Node #0,2,3: 33:[3, 27] Operation: 57-30=27 Exploring Operation: 57/3=19, Resulting Numbers: [30, 19] Generated Node #0,2,4: 33:[30, 19] Operation: 57/3=19 Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 33:[3, 27], Operations: ['93-63=30', '57-30=27'] Exploring Operation: 27-3=24, Resulting Numbers: [24] 24,33 unequal: No Solution Exploring Operation: 27/3=9, Resulting Numbers: [9] 9,33 unequal: No Solution Exploring Operation: 3+27=30, Resulting Numbers: [30] 30,33 unequal: No Solution Exploring Operation: 3*27=81, Resulting Numbers: [81] 81,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 33:[30, 19], Operations: ['93-63=30', '57/3=19'] Exploring Operation: 30*19=570, Resulting Numbers: [570] 570,33 unequal: No Solution Exploring Operation: 30+19=49, Resulting Numbers: [49] 49,33 unequal: No Solution Exploring Operation: 30-19=11, Resulting Numbers: [11] 11,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 33:[30, 54], Operations: ['93-63=30', '57-3=54'] Exploring Operation: 30*54=1620, Resulting Numbers: [1620] 1620,33 unequal: No Solution Exploring Operation: 54-30=24, Resulting Numbers: [24] 24,33 unequal: No Solution Exploring Operation: 30+54=84, Resulting Numbers: [84] 84,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 33:[57, 33], Operations: ['93-63=30', '3+30=33'] Exploring Operation: 57-33=24, Resulting Numbers: [24] 24,33 unequal: No Solution Exploring Operation: 57+33=90, Resulting Numbers: [90] 90,33 unequal: No Solution Exploring Operation: 57*33=1881, Resulting Numbers: [1881] 1881,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 33:[57, 10], Operations: ['93-63=30', '30/3=10'] Exploring Operation: 57*10=570, Resulting Numbers: [570] 570,33 unequal: No Solution Exploring Operation: 57-10=47, Resulting Numbers: [47] 47,33 unequal: No Solution Exploring Operation: 57+10=67, Resulting Numbers: [67] 67,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 33:[3, 63, 36], Operations: ['93-57=36'] Exploring Operation: 63/3=21, Resulting Numbers: [36, 21] Generated Node #0,0,0: 33:[36, 21] Operation: 63/3=21 Exploring Operation: 63-3=60, Resulting Numbers: [36, 60] Generated Node #0,0,1: 33:[36, 60] Operation: 63-3=60 Exploring Operation: 63-36=27, Resulting Numbers: [3, 27] Generated Node #0,0,2: 33:[3, 27] Operation: 63-36=27 Exploring Operation: 36-3=33, Resulting Numbers: [63, 33] Generated Node #0,0,3: 33:[63, 33] Operation: 36-3=33 Exploring Operation: 36/3=12, Resulting Numbers: [63, 12] Generated Node #0,0,4: 33:[63, 12] Operation: 36/3=12 Moving to Node #0,1 Current State: 33:[57, 63, 31], Operations: ['93/3=31'] Exploring Operation: 63+31=94, Resulting Numbers: [57, 94] Generated Node #0,1,0: 33:[57, 94] Operation: 63+31=94 Exploring Operation: 57-31=26, Resulting Numbers: [63, 26] Generated Node #0,1,1: 33:[63, 26] Operation: 57-31=26 Exploring Operation: 63-31=32, Resulting Numbers: [57, 32] Generated Node #0,1,2: 33:[57, 32] Operation: 63-31=32 Exploring Operation: 63-57=6, Resulting Numbers: [31, 6] Generated Node #0,1,3: 33:[31, 6] Operation: 63-57=6 Exploring Operation: 57+31=88, Resulting Numbers: [63, 88] Generated Node #0,1,4: 33:[63, 88] Operation: 57+31=88 Moving to Node #0,4 Current State: 33:[93, 3, 6], Operations: ['63-57=6'] Exploring Operation: 93-6=87, Resulting Numbers: [3, 87] Generated Node #0,4,0: 33:[3, 87] Operation: 93-6=87 Exploring Operation: 6-3=3, Resulting Numbers: [93, 3] Generated Node #0,4,1: 33:[93, 3] Operation: 6-3=3 Exploring Operation: 6/3=2, Resulting Numbers: [93, 2] Generated Node #0,4,2: 33:[93, 2] Operation: 6/3=2 Exploring Operation: 93-3=90, Resulting Numbers: [6, 90] Generated Node #0,4,3: 33:[6, 90] Operation: 93-3=90 Exploring Operation: 93/3=31, Resulting Numbers: [6, 31] Generated Node #0,4,4: 33:[6, 31] Operation: 93/3=31 Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 33:[6, 31], Operations: ['63-57=6', '93/3=31'] Exploring Operation: 6+31=37, Resulting Numbers: [37] 37,33 unequal: No Solution Exploring Operation: 6*31=186, Resulting Numbers: [186] 186,33 unequal: No Solution Exploring Operation: 31-6=25, Resulting Numbers: [25] 25,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 33:[3, 87], Operations: ['63-57=6', '93-6=87'] Exploring Operation: 87/3=29, Resulting Numbers: [29] 29,33 unequal: No Solution Exploring Operation: 3*87=261, Resulting Numbers: [261] 261,33 unequal: No Solution Exploring Operation: 3+87=90, Resulting Numbers: [90] 90,33 unequal: No Solution Exploring Operation: 87-3=84, Resulting Numbers: [84] 84,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 33:[93, 3], Operations: ['63-57=6', '6-3=3'] Exploring Operation: 93-3=90, Resulting Numbers: [90] 90,33 unequal: No Solution Exploring Operation: 93+3=96, Resulting Numbers: [96] 96,33 unequal: No Solution Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,33 unequal: No Solution Exploring Operation: 93*3=279, Resulting Numbers: [279] 279,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 33:[6, 90], Operations: ['63-57=6', '93-3=90'] Exploring Operation: 6*90=540, Resulting Numbers: [540] 540,33 unequal: No Solution Exploring Operation: 90/6=15, Resulting Numbers: [15] 15,33 unequal: No Solution Exploring Operation: 6+90=96, Resulting Numbers: [96] 96,33 unequal: No Solution Exploring Operation: 90-6=84, Resulting Numbers: [84] 84,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 33:[93, 2], Operations: ['63-57=6', '6/3=2'] Exploring Operation: 93*2=186, Resulting Numbers: [186] 186,33 unequal: No Solution Exploring Operation: 93+2=95, Resulting Numbers: [95] 95,33 unequal: No Solution Exploring Operation: 93-2=91, Resulting Numbers: [91] 91,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 33:[57, 93, 21], Operations: ['63/3=21'] Exploring Operation: 93-21=72, Resulting Numbers: [57, 72] Generated Node #0,3,0: 33:[57, 72] Operation: 93-21=72 Exploring Operation: 57-21=36, Resulting Numbers: [93, 36] Generated Node #0,3,1: 33:[93, 36] Operation: 57-21=36 Exploring Operation: 93-57=36, Resulting Numbers: [21, 36] Generated Node #0,3,2: 33:[21, 36] Operation: 93-57=36 Exploring Operation: 57+21=78, Resulting Numbers: [93, 78] Generated Node #0,3,3: 33:[93, 78] Operation: 57+21=78 Exploring Operation: 93+21=114, Resulting Numbers: [57, 114] Generated Node #0,3,4: 33:[57, 114] Operation: 93+21=114 Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 33:[21, 36], Operations: ['63/3=21', '93-57=36'] Exploring Operation: 21*36=756, Resulting Numbers: [756] 756,33 unequal: No Solution Exploring Operation: 21+36=57, Resulting Numbers: [57] 57,33 unequal: No Solution Exploring Operation: 36-21=15, Resulting Numbers: [15] 15,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 33:[57, 72], Operations: ['63/3=21', '93-21=72'] Exploring Operation: 57*72=4104, Resulting Numbers: [4104] 4104,33 unequal: No Solution Exploring Operation: 57+72=129, Resulting Numbers: [129] 129,33 unequal: No Solution Exploring Operation: 72-57=15, Resulting Numbers: [15] 15,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 33:[93, 36], Operations: ['63/3=21', '57-21=36'] Exploring Operation: 93+36=129, Resulting Numbers: [129] 129,33 unequal: No Solution Exploring Operation: 93*36=3348, Resulting Numbers: [3348] 3348,33 unequal: No Solution Exploring Operation: 93-36=57, Resulting Numbers: [57] 57,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 33:[93, 78], Operations: ['63/3=21', '57+21=78'] Exploring Operation: 93+78=171, Resulting Numbers: [171] 171,33 unequal: No Solution Exploring Operation: 93*78=7254, Resulting Numbers: [7254] 7254,33 unequal: No Solution Exploring Operation: 93-78=15, Resulting Numbers: [15] 15,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 33:[57, 114], Operations: ['63/3=21', '93+21=114'] Exploring Operation: 57+114=171, Resulting Numbers: [171] 171,33 unequal: No Solution Exploring Operation: 57*114=6498, Resulting Numbers: [6498] 6498,33 unequal: No Solution Exploring Operation: 114/57=2, Resulting Numbers: [2] 2,33 unequal: No Solution Exploring Operation: 114-57=57, Resulting Numbers: [57] 57,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,3 Current State: 33:[31, 6], Operations: ['93/3=31', '63-57=6'] Exploring Operation: 31-6=25, Resulting Numbers: [25] 25,33 unequal: No Solution Exploring Operation: 31*6=186, Resulting Numbers: [186] 186,33 unequal: No Solution Exploring Operation: 31+6=37, Resulting Numbers: [37] 37,33 unequal: No Solution Moving to Node #0,0,2 Current State: 33:[3, 27], Operations: ['93-57=36', '63-36=27'] Exploring Operation: 27/3=9, Resulting Numbers: [9] 9,33 unequal: No Solution Exploring Operation: 3*27=81, Resulting Numbers: [81] 81,33 unequal: No Solution Exploring Operation: 27-3=24, Resulting Numbers: [24] 24,33 unequal: No Solution Exploring Operation: 3+27=30, Resulting Numbers: [30] 30,33 unequal: No Solution Moving to Node #0,0,0 Current State: 33:[36, 21], Operations: ['93-57=36', '63/3=21'] Exploring Operation: 36+21=57, Resulting Numbers: [57] 57,33 unequal: No Solution Exploring Operation: 36-21=15, Resulting Numbers: [15] 15,33 unequal: No Solution Exploring Operation: 36*21=756, Resulting Numbers: [756] 756,33 unequal: No Solution Moving to Node #0,1,2 Current State: 33:[57, 32], Operations: ['93/3=31', '63-31=32'] Exploring Operation: 57+32=89, Resulting Numbers: [89] 89,33 unequal: No Solution Exploring Operation: 57-32=25, Resulting Numbers: [25] 25,33 unequal: No Solution Exploring Operation: 57*32=1824, Resulting Numbers: [1824] 1824,33 unequal: No Solution Moving to Node #0,0,1 Current State: 33:[36, 60], Operations: ['93-57=36', '63-3=60'] Exploring Operation: 36+60=96, Resulting Numbers: [96] 96,33 unequal: No Solution Exploring Operation: 60-36=24, Resulting Numbers: [24] 24,33 unequal: No Solution Exploring Operation: 36*60=2160, Resulting Numbers: [2160] 2160,33 unequal: No Solution Moving to Node #0,0,3 Current State: 33:[63, 33], Operations: ['93-57=36', '36-3=33'] Exploring Operation: 63+33=96, Resulting Numbers: [96] 96,33 unequal: No Solution Exploring Operation: 63*33=2079, Resulting Numbers: [2079] 2079,33 unequal: No Solution Exploring Operation: 63-33=30, Resulting Numbers: [30] 30,33 unequal: No Solution Moving to Node #0,0,4 Current State: 33:[63, 12], Operations: ['93-57=36', '36/3=12'] Exploring Operation: 63-12=51, Resulting Numbers: [51] 51,33 unequal: No Solution Exploring Operation: 63*12=756, Resulting Numbers: [756] 756,33 unequal: No Solution Exploring Operation: 63+12=75, Resulting Numbers: [75] 75,33 unequal: No Solution Moving to Node #0,1,1 Current State: 33:[63, 26], Operations: ['93/3=31', '57-31=26'] Exploring Operation: 63-26=37, Resulting Numbers: [37] 37,33 unequal: No Solution Exploring Operation: 63*26=1638, Resulting Numbers: [1638] 1638,33 unequal: No Solution Exploring Operation: 63+26=89, Resulting Numbers: [89] 89,33 unequal: No Solution Moving to Node #0,1,4 Current State: 33:[63, 88], Operations: ['93/3=31', '57+31=88'] Exploring Operation: 88-63=25, Resulting Numbers: [25] 25,33 unequal: No Solution Exploring Operation: 63*88=5544, Resulting Numbers: [5544] 5544,33 unequal: No Solution Exploring Operation: 63+88=151, Resulting Numbers: [151] 151,33 unequal: No Solution Moving to Node #0,1,0 Current State: 33:[57, 94], Operations: ['93/3=31', '63+31=94'] Exploring Operation: 57*94=5358, Resulting Numbers: [5358] 5358,33 unequal: No Solution Exploring Operation: 94-57=37, Resulting Numbers: [37] 37,33 unequal: No Solution Exploring Operation: 57+94=151, Resulting Numbers: [151] 151,33 unequal: No Solution No solution found.
0
hs_5
mult_heuristic
[ 53, 45, 48, 6 ]
46
[ "53-45=8", "48+6=54", "54-8=46" ]
Current State: 46:[53, 45, 48, 6], Operations: [] Exploring Operation: 53-45=8, Resulting Numbers: [48, 6, 8] Generated Node #2: [48, 6, 8] from Operation: 53-45=8 Current State: 46:[48, 6, 8], Operations: ['53-45=8'] Exploring Operation: 48+6=54, Resulting Numbers: [8, 54] Generated Node #3: [8, 54] from Operation: 48+6=54 Current State: 46:[8, 54], Operations: ['53-45=8', '48+6=54'] Exploring Operation: 54-8=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
Current State: 46:[53, 45, 48, 6], Operations: [] Exploring Operation: 53-48=5, Resulting Numbers: [45, 6, 5] Generated Node #0,0: 46:[45, 6, 5] Operation: 53-48=5 Exploring Operation: 53-45=8, Resulting Numbers: [48, 6, 8] Generated Node #0,1: 46:[48, 6, 8] Operation: 53-45=8 Exploring Operation: 53-6=47, Resulting Numbers: [45, 48, 47] Generated Node #0,2: 46:[45, 48, 47] Operation: 53-6=47 Exploring Operation: 48-45=3, Resulting Numbers: [53, 6, 3] Generated Node #0,3: 46:[53, 6, 3] Operation: 48-45=3 Start Sub Search at level 1: Moving to Node #0,2 Current State: 46:[45, 48, 47], Operations: ['53-6=47'] Exploring Operation: 48-47=1, Resulting Numbers: [45, 1] Generated Node #0,2,0: 46:[45, 1] Operation: 48-47=1 Exploring Operation: 48-45=3, Resulting Numbers: [47, 3] Generated Node #0,2,1: 46:[47, 3] Operation: 48-45=3 Exploring Operation: 47-45=2, Resulting Numbers: [48, 2] Generated Node #0,2,2: 46:[48, 2] Operation: 47-45=2 Exploring Operation: 45+48=93, Resulting Numbers: [47, 93] Generated Node #0,2,3: 46:[47, 93] Operation: 45+48=93 Moving to Node #0,2,0 Current State: 46:[45, 1], Operations: ['53-6=47', '48-47=1'] Exploring Operation: 45/1=45, Resulting Numbers: [45] 45,46 unequal: No Solution Exploring Operation: 45*1=45, Resulting Numbers: [45] 45,46 unequal: No Solution Exploring Operation: 45+1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached Moving to Node #0 Current State: 46:[53, 45, 48, 6], Operations: [] Exploring Operation: 53-6=47, Resulting Numbers: [45, 48, 47] Generated Node #0,2: 46:[45, 48, 47] Operation: 53-6=47 Moving to Node #0,2 Current State: 46:[45, 48, 47], Operations: ['53-6=47'] Exploring Operation: 48-47=1, Resulting Numbers: [45, 1] Generated Node #0,2,0: 46:[45, 1] Operation: 48-47=1 Moving to Node #0,2,0 Current State: 46:[45, 1], Operations: ['53-6=47', '48-47=1'] Exploring Operation: 45+1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached Exit Sub Search at level 1
0.986979
hs_4
sum_heuristic
[ 27, 77, 73, 61 ]
47
[ "77-73=4", "27*4=108", "108-61=47" ]
Current State: 47:[27, 77, 73, 61], Operations: [] Exploring Operation: 77-73=4, Resulting Numbers: [27, 61, 4] Generated Node #2: [27, 61, 4] from Operation: 77-73=4 Current State: 47:[27, 61, 4], Operations: ['77-73=4'] Exploring Operation: 27*4=108, Resulting Numbers: [61, 108] Generated Node #3: [61, 108] from Operation: 27*4=108 Current State: 47:[61, 108], Operations: ['77-73=4', '27*4=108'] Exploring Operation: 108-61=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
Current State: 47:[27, 77, 73, 61], Operations: [] Exploring Operation: 77-27=50, Resulting Numbers: [73, 61, 50] Generated Node #0,0: 47:[73, 61, 50] Operation: 77-27=50 Exploring Operation: 73-27=46, Resulting Numbers: [77, 61, 46] Generated Node #0,1: 47:[77, 61, 46] Operation: 73-27=46 Moving to Node #0,0 Current State: 47:[73, 61, 50], Operations: ['77-27=50'] Exploring Operation: 73-50=23, Resulting Numbers: [61, 23] Generated Node #0,0,0: 47:[61, 23] Operation: 73-50=23 Exploring Operation: 73-61=12, Resulting Numbers: [50, 12] Generated Node #0,0,1: 47:[50, 12] Operation: 73-61=12 Moving to Node #0,1 Current State: 47:[77, 61, 46], Operations: ['73-27=46'] Exploring Operation: 77-46=31, Resulting Numbers: [61, 31] Generated Node #0,1,0: 47:[61, 31] Operation: 77-46=31 Exploring Operation: 77-61=16, Resulting Numbers: [46, 16] Generated Node #0,1,1: 47:[46, 16] Operation: 77-61=16 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 47:[61, 31], Operations: ['73-27=46', '77-46=31'] Exploring Operation: 61-31=30, Resulting Numbers: [30] 30,47 unequal: No Solution Exploring Operation: 61+31=92, Resulting Numbers: [92] 92,47 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 47:[46, 16], Operations: ['73-27=46', '77-61=16'] Exploring Operation: 46+16=62, Resulting Numbers: [62] 62,47 unequal: No Solution Exploring Operation: 46-16=30, Resulting Numbers: [30] 30,47 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0,0 Current State: 47:[61, 23], Operations: ['77-27=50', '73-50=23'] Exploring Operation: 61-23=38, Resulting Numbers: [38] 38,47 unequal: No Solution Exploring Operation: 61+23=84, Resulting Numbers: [84] 84,47 unequal: No Solution Moving to Node #0,0,1 Current State: 47:[50, 12], Operations: ['77-27=50', '73-61=12'] Exploring Operation: 50+12=62, Resulting Numbers: [62] 62,47 unequal: No Solution Exploring Operation: 50-12=38, Resulting Numbers: [38] 38,47 unequal: No Solution No solution found.
0
hs_2
sum_heuristic
[ 2, 47, 56, 39 ]
87
[ "2*39=78", "56-47=9", "78+9=87" ]
Current State: 87:[2, 47, 56, 39], Operations: [] Exploring Operation: 2*39=78, Resulting Numbers: [47, 56, 78] Generated Node #2: [47, 56, 78] from Operation: 2*39=78 Current State: 87:[47, 56, 78], Operations: ['2*39=78'] Exploring Operation: 56-47=9, Resulting Numbers: [78, 9] Generated Node #3: [78, 9] from Operation: 56-47=9 Current State: 87:[78, 9], Operations: ['2*39=78', '56-47=9'] Exploring Operation: 78+9=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
Current State: 87:[2, 47, 56, 39], Operations: [] Exploring Operation: 56-47=9, Resulting Numbers: [2, 39, 9] Generated Node #0,0: 87:[2, 39, 9] Operation: 56-47=9 Exploring Operation: 56+39=95, Resulting Numbers: [2, 47, 95] Generated Node #0,1: 87:[2, 47, 95] Operation: 56+39=95 Exploring Operation: 47+56=103, Resulting Numbers: [2, 39, 103] Generated Node #0,2: 87:[2, 39, 103] Operation: 47+56=103 Moving to Node #0,0 Current State: 87:[2, 39, 9], Operations: ['56-47=9'] Exploring Operation: 39-9=30, Resulting Numbers: [2, 30] Generated Node #0,0,0: 87:[2, 30] Operation: 39-9=30 Exploring Operation: 9-2=7, Resulting Numbers: [39, 7] Generated Node #0,0,1: 87:[39, 7] Operation: 9-2=7 Exploring Operation: 39-2=37, Resulting Numbers: [9, 37] Generated Node #0,0,2: 87:[9, 37] Operation: 39-2=37 Moving to Node #0,1 Current State: 87:[2, 47, 95], Operations: ['56+39=95'] Exploring Operation: 2*47=94, Resulting Numbers: [95, 94] Generated Node #0,1,0: 87:[95, 94] Operation: 2*47=94 Exploring Operation: 47-2=45, Resulting Numbers: [95, 45] Generated Node #0,1,1: 87:[95, 45] Operation: 47-2=45 Exploring Operation: 95-47=48, Resulting Numbers: [2, 48] Generated Node #0,1,2: 87:[2, 48] Operation: 95-47=48 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 87:[95, 94], Operations: ['56+39=95', '2*47=94'] Exploring Operation: 95*94=8930, Resulting Numbers: [8930] 8930,87 unequal: No Solution Exploring Operation: 95+94=189, Resulting Numbers: [189] 189,87 unequal: No Solution Exploring Operation: 95-94=1, Resulting Numbers: [1] 1,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 87:[2, 48], Operations: ['56+39=95', '95-47=48'] Exploring Operation: 2*48=96, Resulting Numbers: [96] 96,87 unequal: No Solution Exploring Operation: 48/2=24, Resulting Numbers: [24] 24,87 unequal: No Solution Exploring Operation: 48-2=46, Resulting Numbers: [46] 46,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 87:[95, 45], Operations: ['56+39=95', '47-2=45'] Exploring Operation: 95-45=50, Resulting Numbers: [50] 50,87 unequal: No Solution Exploring Operation: 95+45=140, Resulting Numbers: [140] 140,87 unequal: No Solution Exploring Operation: 95*45=4275, Resulting Numbers: [4275] 4275,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 87:[2, 39, 103], Operations: ['47+56=103'] Exploring Operation: 39-2=37, Resulting Numbers: [103, 37] Generated Node #0,2,0: 87:[103, 37] Operation: 39-2=37 Exploring Operation: 103-39=64, Resulting Numbers: [2, 64] Generated Node #0,2,1: 87:[2, 64] Operation: 103-39=64 Exploring Operation: 103-2=101, Resulting Numbers: [39, 101] Generated Node #0,2,2: 87:[39, 101] Operation: 103-2=101 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 87:[103, 37], Operations: ['47+56=103', '39-2=37'] Exploring Operation: 103+37=140, Resulting Numbers: [140] 140,87 unequal: No Solution Exploring Operation: 103-37=66, Resulting Numbers: [66] 66,87 unequal: No Solution Exploring Operation: 103*37=3811, Resulting Numbers: [3811] 3811,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 87:[2, 64], Operations: ['47+56=103', '103-39=64'] Exploring Operation: 64/2=32, Resulting Numbers: [32] 32,87 unequal: No Solution Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,87 unequal: No Solution Exploring Operation: 2+64=66, Resulting Numbers: [66] 66,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 87:[39, 101], Operations: ['47+56=103', '103-2=101'] Exploring Operation: 101-39=62, Resulting Numbers: [62] 62,87 unequal: No Solution Exploring Operation: 39+101=140, Resulting Numbers: [140] 140,87 unequal: No Solution Exploring Operation: 39*101=3939, Resulting Numbers: [3939] 3939,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0,0 Current State: 87:[2, 30], Operations: ['56-47=9', '39-9=30'] Exploring Operation: 2+30=32, Resulting Numbers: [32] 32,87 unequal: No Solution Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,87 unequal: No Solution Exploring Operation: 30-2=28, Resulting Numbers: [28] 28,87 unequal: No Solution Moving to Node #0,0,1 Current State: 87:[39, 7], Operations: ['56-47=9', '9-2=7'] Exploring Operation: 39-7=32, Resulting Numbers: [32] 32,87 unequal: No Solution Exploring Operation: 39+7=46, Resulting Numbers: [46] 46,87 unequal: No Solution Exploring Operation: 39*7=273, Resulting Numbers: [273] 273,87 unequal: No Solution Moving to Node #0,0,2 Current State: 87:[9, 37], Operations: ['56-47=9', '39-2=37'] Exploring Operation: 9*37=333, Resulting Numbers: [333] 333,87 unequal: No Solution Exploring Operation: 9+37=46, Resulting Numbers: [46] 46,87 unequal: No Solution Exploring Operation: 37-9=28, Resulting Numbers: [28] 28,87 unequal: No Solution No solution found.
0
hs_3
mult_heuristic
[ 30, 36, 66, 67 ]
67
[ "30+36=66", "66+67=133", "133-66=67" ]
Current State: 67:[30, 36, 66, 67], Operations: [] Exploring Operation: 30+36=66, Resulting Numbers: [66, 67, 66] Generated Node #2: [66, 67, 66] from Operation: 30+36=66 Current State: 67:[66, 67, 66], Operations: ['30+36=66'] Exploring Operation: 66+67=133, Resulting Numbers: [133] 133,67 equal: Goal Reached Exploring Operation: 133-66=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
Current State: 67:[30, 36, 66, 67], Operations: [] Exploring Operation: 30+36=66, Resulting Numbers: [66, 67, 66] Generated Node #0,0: 67:[66, 67, 66] Operation: 30+36=66 Exploring Operation: 30+66=96, Resulting Numbers: [36, 67, 96] Generated Node #0,1: 67:[36, 67, 96] Operation: 30+66=96 Exploring Operation: 36-30=6, Resulting Numbers: [66, 67, 6] Generated Node #0,2: 67:[66, 67, 6] Operation: 36-30=6 Moving to Node #0,0 Current State: 67:[66, 67, 66], Operations: ['30+36=66'] Exploring Operation: 66+66=132, Resulting Numbers: [67, 132] Generated Node #0,0,0: 67:[67, 132] Operation: 66+66=132 Exploring Operation: 66/66=1, Resulting Numbers: [67, 1] Generated Node #0,0,1: 67:[67, 1] Operation: 66/66=1 Exploring Operation: 66+67=133, Resulting Numbers: [66, 133] Generated Node #0,0,2: 67:[66, 133] Operation: 66+67=133 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 67:[67, 132], Operations: ['30+36=66', '66+66=132'] Exploring Operation: 67*132=8844, Resulting Numbers: [8844] 8844,67 unequal: No Solution Exploring Operation: 67+132=199, Resulting Numbers: [199] 199,67 unequal: No Solution Exploring Operation: 132-67=65, Resulting Numbers: [65] 65,67 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 67:[67, 1], Operations: ['30+36=66', '66/66=1'] Exploring Operation: 67/1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached Moving to Node #0 Current State: 67:[30, 36, 66, 67], Operations: [] Exploring Operation: 30+36=66, Resulting Numbers: [66, 67, 66] Generated Node #0,0: 67:[66, 67, 66] Operation: 30+36=66 Moving to Node #0,0 Current State: 67:[66, 67, 66], Operations: ['30+36=66'] Exploring Operation: 66/66=1, Resulting Numbers: [67, 1] Generated Node #0,0,1: 67:[67, 1] Operation: 66/66=1 Moving to Node #0,0,1 Current State: 67:[67, 1], Operations: ['30+36=66', '66/66=1'] Exploring Operation: 67/1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached Exit Sub Search at level 1
0.987847
hs_3
mult_heuristic
[ 25, 23, 55, 52 ]
58
[ "25-23=2", "55*2=110", "110-52=58" ]
Current State: 58:[25, 23, 55, 52], Operations: [] Exploring Operation: 25-23=2, Resulting Numbers: [55, 52, 2] Generated Node #2: [55, 52, 2] from Operation: 25-23=2 Current State: 58:[55, 52, 2], Operations: ['25-23=2'] Exploring Operation: 55*2=110, Resulting Numbers: [52, 110] Generated Node #3: [52, 110] from Operation: 55*2=110 Current State: 58:[52, 110], Operations: ['25-23=2', '55*2=110'] Exploring Operation: 110-52=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
Current State: 58:[25, 23, 55, 52], Operations: [] Exploring Operation: 52-23=29, Resulting Numbers: [25, 55, 29] Generated Node #0,0: 58:[25, 55, 29] Operation: 52-23=29 Start Sub Search at level 1: Moving to Node #0,0 Current State: 58:[25, 55, 29], Operations: ['52-23=29'] Exploring Operation: 55-25=30, Resulting Numbers: [29, 30] Generated Node #0,0,0: 58:[29, 30] Operation: 55-25=30 Moving to Node #0,0,0 Current State: 58:[29, 30], Operations: ['52-23=29', '55-25=30'] Exploring Operation: 29+30=59, Resulting Numbers: [59] 59,58 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 80, 76, 1, 12 ]
17
[ "80-76=4", "1+12=13", "4+13=17" ]
Current State: 17:[80, 76, 1, 12], Operations: [] Exploring Operation: 80-76=4, Resulting Numbers: [1, 12, 4] Generated Node #2: [1, 12, 4] from Operation: 80-76=4 Current State: 17:[1, 12, 4], Operations: ['80-76=4'] Exploring Operation: 1+12=13, Resulting Numbers: [4, 13] Generated Node #3: [4, 13] from Operation: 1+12=13 Current State: 17:[4, 13], Operations: ['80-76=4', '1+12=13'] Exploring Operation: 4+13=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
Current State: 17:[80, 76, 1, 12], Operations: [] Exploring Operation: 80-76=4, Resulting Numbers: [1, 12, 4] Generated Node #0,0: 17:[1, 12, 4] Operation: 80-76=4 Start Sub Search at level 1: Moving to Node #0,0 Current State: 17:[1, 12, 4], Operations: ['80-76=4'] Exploring Operation: 1+12=13, Resulting Numbers: [4, 13] Generated Node #0,0,0: 17:[4, 13] Operation: 1+12=13 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 17:[4, 13], Operations: ['80-76=4', '1+12=13'] Exploring Operation: 4+13=17, Resulting Numbers: [17] 17,17 equal: Goal Reached Moving to Node #0 Current State: 17:[80, 76, 1, 12], Operations: [] Exploring Operation: 80-76=4, Resulting Numbers: [1, 12, 4] Generated Node #0,0: 17:[1, 12, 4] Operation: 80-76=4 Moving to Node #0,0 Current State: 17:[1, 12, 4], Operations: ['80-76=4'] Exploring Operation: 1+12=13, Resulting Numbers: [4, 13] Generated Node #0,0,0: 17:[4, 13] Operation: 1+12=13 Moving to Node #0,0,0 Current State: 17:[4, 13], Operations: ['80-76=4', '1+12=13'] Exploring Operation: 4+13=17, Resulting Numbers: [17] 17,17 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.993924
hs_1
sum_heuristic
[ 54, 70, 26, 88 ]
29
[ "88-70=18", "54/18=3", "26+3=29" ]
Current State: 29:[54, 70, 26, 88], Operations: [] Exploring Operation: 88-70=18, Resulting Numbers: [54, 26, 18] Generated Node #2: [54, 26, 18] from Operation: 88-70=18 Current State: 29:[54, 26, 18], Operations: ['88-70=18'] Exploring Operation: 54/18=3, Resulting Numbers: [26, 3] Generated Node #3: [26, 3] from Operation: 54/18=3 Current State: 29:[26, 3], Operations: ['88-70=18', '54/18=3'] Exploring Operation: 26+3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
Current State: 29:[54, 70, 26, 88], Operations: [] Exploring Operation: 70-54=16, Resulting Numbers: [26, 88, 16] Generated Node #0,0: 29:[26, 88, 16] Operation: 70-54=16 Exploring Operation: 70-26=44, Resulting Numbers: [54, 88, 44] Generated Node #0,1: 29:[54, 88, 44] Operation: 70-26=44 Exploring Operation: 88-54=34, Resulting Numbers: [70, 26, 34] Generated Node #0,2: 29:[70, 26, 34] Operation: 88-54=34 Exploring Operation: 88-70=18, Resulting Numbers: [54, 26, 18] Generated Node #0,3: 29:[54, 26, 18] Operation: 88-70=18 Start Sub Search at level 1: Moving to Node #0,3 Current State: 29:[54, 26, 18], Operations: ['88-70=18'] Exploring Operation: 54-18=36, Resulting Numbers: [26, 36] Generated Node #0,3,0: 29:[26, 36] Operation: 54-18=36 Exploring Operation: 54/18=3, Resulting Numbers: [26, 3] Generated Node #0,3,1: 29:[26, 3] Operation: 54/18=3 Exploring Operation: 26+18=44, Resulting Numbers: [54, 44] Generated Node #0,3,2: 29:[54, 44] Operation: 26+18=44 Exploring Operation: 54-26=28, Resulting Numbers: [18, 28] Generated Node #0,3,3: 29:[18, 28] Operation: 54-26=28 Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 29:[26, 36], Operations: ['88-70=18', '54-18=36'] Exploring Operation: 26*36=936, Resulting Numbers: [936] 936,29 unequal: No Solution Exploring Operation: 36-26=10, Resulting Numbers: [10] 10,29 unequal: No Solution Exploring Operation: 26+36=62, Resulting Numbers: [62] 62,29 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 29:[18, 28], Operations: ['88-70=18', '54-26=28'] Exploring Operation: 18+28=46, Resulting Numbers: [46] 46,29 unequal: No Solution Exploring Operation: 28-18=10, Resulting Numbers: [10] 10,29 unequal: No Solution Exploring Operation: 18*28=504, Resulting Numbers: [504] 504,29 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 29:[26, 3], Operations: ['88-70=18', '54/18=3'] Exploring Operation: 26*3=78, Resulting Numbers: [78] 78,29 unequal: No Solution Exploring Operation: 26+3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached Moving to Node #0 Current State: 29:[54, 70, 26, 88], Operations: [] Exploring Operation: 88-70=18, Resulting Numbers: [54, 26, 18] Generated Node #0,3: 29:[54, 26, 18] Operation: 88-70=18 Moving to Node #0,3 Current State: 29:[54, 26, 18], Operations: ['88-70=18'] Exploring Operation: 54/18=3, Resulting Numbers: [26, 3] Generated Node #0,3,1: 29:[26, 3] Operation: 54/18=3 Moving to Node #0,3,1 Current State: 29:[26, 3], Operations: ['88-70=18', '54/18=3'] Exploring Operation: 26+3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.982639
hs_4
sum_heuristic
[ 95, 25, 98, 25 ]
100
[ "98-95=3", "25*3=75", "25+75=100" ]
Current State: 100:[95, 25, 98, 25], Operations: [] Exploring Operation: 98-95=3, Resulting Numbers: [25, 25, 3] Generated Node #2: [25, 25, 3] from Operation: 98-95=3 Current State: 100:[25, 25, 3], Operations: ['98-95=3'] Exploring Operation: 25*3=75, Resulting Numbers: [75] 75,100 equal: Goal Reached Exploring Operation: 25+75=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
Current State: 100:[95, 25, 98, 25], Operations: [] Exploring Operation: 98-95=3, Resulting Numbers: [25, 25, 3] Generated Node #0,0: 100:[25, 25, 3] Operation: 98-95=3 Moving to Node #0,0 Current State: 100:[25, 25, 3], Operations: ['98-95=3'] Exploring Operation: 25+25=50, Resulting Numbers: [3, 50] Generated Node #0,0,0: 100:[3, 50] Operation: 25+25=50 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 100:[3, 50], Operations: ['98-95=3', '25+25=50'] Exploring Operation: 3+50=53, Resulting Numbers: [53] 53,100 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
mult_heuristic
[ 87, 64, 59, 8 ]
44
[ "87-64=23", "59+8=67", "67-23=44" ]
Current State: 44:[87, 64, 59, 8], Operations: [] Exploring Operation: 87-64=23, Resulting Numbers: [59, 8, 23] Generated Node #2: [59, 8, 23] from Operation: 87-64=23 Current State: 44:[59, 8, 23], Operations: ['87-64=23'] Exploring Operation: 59+8=67, Resulting Numbers: [23, 67] Generated Node #3: [23, 67] from Operation: 59+8=67 Current State: 44:[23, 67], Operations: ['87-64=23', '59+8=67'] Exploring Operation: 67-23=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
Current State: 44:[87, 64, 59, 8], Operations: [] Exploring Operation: 87-64=23, Resulting Numbers: [59, 8, 23] Generated Node #0,0: 44:[59, 8, 23] Operation: 87-64=23 Exploring Operation: 87-59=28, Resulting Numbers: [64, 8, 28] Generated Node #0,1: 44:[64, 8, 28] Operation: 87-59=28 Exploring Operation: 64-59=5, Resulting Numbers: [87, 8, 5] Generated Node #0,2: 44:[87, 8, 5] Operation: 64-59=5 Moving to Node #0,0 Current State: 44:[59, 8, 23], Operations: ['87-64=23'] Exploring Operation: 59-8=51, Resulting Numbers: [23, 51] Generated Node #0,0,0: 44:[23, 51] Operation: 59-8=51 Exploring Operation: 23-8=15, Resulting Numbers: [59, 15] Generated Node #0,0,1: 44:[59, 15] Operation: 23-8=15 Exploring Operation: 59-23=36, Resulting Numbers: [8, 36] Generated Node #0,0,2: 44:[8, 36] Operation: 59-23=36 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 44:[23, 51], Operations: ['87-64=23', '59-8=51'] Exploring Operation: 23*51=1173, Resulting Numbers: [1173] 1173,44 unequal: No Solution Exploring Operation: 23+51=74, Resulting Numbers: [74] 74,44 unequal: No Solution Exploring Operation: 51-23=28, Resulting Numbers: [28] 28,44 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 44:[8, 36], Operations: ['87-64=23', '59-23=36'] Exploring Operation: 8+36=44, Resulting Numbers: [44] 44,44 equal: Goal Reached Moving to Node #0 Current State: 44:[87, 64, 59, 8], Operations: [] Exploring Operation: 87-64=23, Resulting Numbers: [59, 8, 23] Generated Node #0,0: 44:[59, 8, 23] Operation: 87-64=23 Moving to Node #0,0 Current State: 44:[59, 8, 23], Operations: ['87-64=23'] Exploring Operation: 59-23=36, Resulting Numbers: [8, 36] Generated Node #0,0,2: 44:[8, 36] Operation: 59-23=36 Moving to Node #0,0,2 Current State: 44:[8, 36], Operations: ['87-64=23', '59-23=36'] Exploring Operation: 8+36=44, Resulting Numbers: [44] 44,44 equal: Goal Reached Exit Sub Search at level 1
0.987847
hs_3
sum_heuristic
[ 11, 72, 64, 74 ]
21
[ "74-72=2", "64/2=32", "32-11=21" ]
Current State: 21:[11, 72, 64, 74], Operations: [] Exploring Operation: 74-72=2, Resulting Numbers: [11, 64, 2] Generated Node #2: [11, 64, 2] from Operation: 74-72=2 Current State: 21:[11, 64, 2], Operations: ['74-72=2'] Exploring Operation: 64/2=32, Resulting Numbers: [11, 32] Generated Node #3: [11, 32] from Operation: 64/2=32 Current State: 21:[11, 32], Operations: ['74-72=2', '64/2=32'] Exploring Operation: 32-11=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
Current State: 21:[11, 72, 64, 74], Operations: [] Exploring Operation: 74-64=10, Resulting Numbers: [11, 72, 10] Generated Node #0,0: 21:[11, 72, 10] Operation: 74-64=10 Exploring Operation: 74-72=2, Resulting Numbers: [11, 64, 2] Generated Node #0,1: 21:[11, 64, 2] Operation: 74-72=2 Exploring Operation: 72-11=61, Resulting Numbers: [64, 74, 61] Generated Node #0,2: 21:[64, 74, 61] Operation: 72-11=61 Exploring Operation: 72-64=8, Resulting Numbers: [11, 74, 8] Generated Node #0,3: 21:[11, 74, 8] Operation: 72-64=8 Moving to Node #0,1 Current State: 21:[11, 64, 2], Operations: ['74-72=2'] Exploring Operation: 11-2=9, Resulting Numbers: [64, 9] Generated Node #0,1,0: 21:[64, 9] Operation: 11-2=9 Exploring Operation: 64/2=32, Resulting Numbers: [11, 32] Generated Node #0,1,1: 21:[11, 32] Operation: 64/2=32 Exploring Operation: 11*2=22, Resulting Numbers: [64, 22] Generated Node #0,1,2: 21:[64, 22] Operation: 11*2=22 Exploring Operation: 64-11=53, Resulting Numbers: [2, 53] Generated Node #0,1,3: 21:[2, 53] Operation: 64-11=53 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 21:[11, 32], Operations: ['74-72=2', '64/2=32'] Exploring Operation: 11*32=352, Resulting Numbers: [352] 352,21 unequal: No Solution Exploring Operation: 11+32=43, Resulting Numbers: [43] 43,21 unequal: No Solution Exploring Operation: 32-11=21, Resulting Numbers: [21] 21,21 equal: Goal Reached Moving to Node #0 Current State: 21:[11, 72, 64, 74], Operations: [] Exploring Operation: 74-72=2, Resulting Numbers: [11, 64, 2] Generated Node #0,1: 21:[11, 64, 2] Operation: 74-72=2 Moving to Node #0,1 Current State: 21:[11, 64, 2], Operations: ['74-72=2'] Exploring Operation: 64/2=32, Resulting Numbers: [11, 32] Generated Node #0,1,1: 21:[11, 32] Operation: 64/2=32 Moving to Node #0,1,1 Current State: 21:[11, 32], Operations: ['74-72=2', '64/2=32'] Exploring Operation: 32-11=21, Resulting Numbers: [21] 21,21 equal: Goal Reached Exit Sub Search at level 1
0.986979
hs_4
mult_heuristic
[ 37, 88, 3, 31 ]
42
[ "88-37=51", "3*31=93", "93-51=42" ]
Current State: 42:[37, 88, 3, 31], Operations: [] Exploring Operation: 88-37=51, Resulting Numbers: [3, 31, 51] Generated Node #2: [3, 31, 51] from Operation: 88-37=51 Current State: 42:[3, 31, 51], Operations: ['88-37=51'] Exploring Operation: 3*31=93, Resulting Numbers: [51, 93] Generated Node #3: [51, 93] from Operation: 3*31=93 Current State: 42:[51, 93], Operations: ['88-37=51', '3*31=93'] Exploring Operation: 93-51=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
Current State: 42:[37, 88, 3, 31], Operations: [] Exploring Operation: 88-37=51, Resulting Numbers: [3, 31, 51] Generated Node #0,0: 42:[3, 31, 51] Operation: 88-37=51 Start Sub Search at level 1: Moving to Node #0,0 Current State: 42:[3, 31, 51], Operations: ['88-37=51'] Exploring Operation: 51-31=20, Resulting Numbers: [3, 20] Generated Node #0,0,0: 42:[3, 20] Operation: 51-31=20 Moving to Node #0,0,0 Current State: 42:[3, 20], Operations: ['88-37=51', '51-31=20'] Exploring Operation: 3+20=23, Resulting Numbers: [23] 23,42 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 64, 36, 32, 50 ]
28
[ "64/32=2", "50-36=14", "2*14=28" ]
Current State: 28:[64, 36, 32, 50], Operations: [] Exploring Operation: 64/32=2, Resulting Numbers: [36, 50, 2] Generated Node #2: [36, 50, 2] from Operation: 64/32=2 Current State: 28:[36, 50, 2], Operations: ['64/32=2'] Exploring Operation: 50-36=14, Resulting Numbers: [2, 14] Generated Node #3: [2, 14] from Operation: 50-36=14 Current State: 28:[2, 14], Operations: ['64/32=2', '50-36=14'] Exploring Operation: 2*14=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
Current State: 28:[64, 36, 32, 50], Operations: [] Exploring Operation: 64-50=14, Resulting Numbers: [36, 32, 14] Generated Node #0,0: 28:[36, 32, 14] Operation: 64-50=14 Exploring Operation: 64/32=2, Resulting Numbers: [36, 50, 2] Generated Node #0,1: 28:[36, 50, 2] Operation: 64/32=2 Exploring Operation: 64-36=28, Resulting Numbers: [32, 50, 28] Generated Node #0,2: 28:[32, 50, 28] Operation: 64-36=28 Start Sub Search at level 1: Moving to Node #0,0 Current State: 28:[36, 32, 14], Operations: ['64-50=14'] Exploring Operation: 36-14=22, Resulting Numbers: [32, 22] Generated Node #0,0,0: 28:[32, 22] Operation: 36-14=22 Exploring Operation: 32-14=18, Resulting Numbers: [36, 18] Generated Node #0,0,1: 28:[36, 18] Operation: 32-14=18 Exploring Operation: 36-32=4, Resulting Numbers: [14, 4] Generated Node #0,0,2: 28:[14, 4] Operation: 36-32=4 Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 28:[14, 4], Operations: ['64-50=14', '36-32=4'] Exploring Operation: 14-4=10, Resulting Numbers: [10] 10,28 unequal: No Solution Exploring Operation: 14+4=18, Resulting Numbers: [18] 18,28 unequal: No Solution Exploring Operation: 14*4=56, Resulting Numbers: [56] 56,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 28:[32, 22], Operations: ['64-50=14', '36-14=22'] Exploring Operation: 32-22=10, Resulting Numbers: [10] 10,28 unequal: No Solution Exploring Operation: 32*22=704, Resulting Numbers: [704] 704,28 unequal: No Solution Exploring Operation: 32+22=54, Resulting Numbers: [54] 54,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 28:[36, 18], Operations: ['64-50=14', '32-14=18'] Exploring Operation: 36/18=2, Resulting Numbers: [2] 2,28 unequal: No Solution Exploring Operation: 36-18=18, Resulting Numbers: [18] 18,28 unequal: No Solution Exploring Operation: 36+18=54, Resulting Numbers: [54] 54,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 28:[32, 50, 28], Operations: ['64-36=28'] Exploring Operation: 32-28=4, Resulting Numbers: [50, 4] Generated Node #0,2,0: 28:[50, 4] Operation: 32-28=4 Exploring Operation: 50-32=18, Resulting Numbers: [28, 18] Generated Node #0,2,1: 28:[28, 18] Operation: 50-32=18 Exploring Operation: 50-28=22, Resulting Numbers: [32, 22] Generated Node #0,2,2: 28:[32, 22] Operation: 50-28=22 Moving to Node #0,2,1 Current State: 28:[28, 18], Operations: ['64-36=28', '50-32=18'] Exploring Operation: 28*18=504, Resulting Numbers: [504] 504,28 unequal: No Solution Exploring Operation: 28+18=46, Resulting Numbers: [46] 46,28 unequal: No Solution Exploring Operation: 28-18=10, Resulting Numbers: [10] 10,28 unequal: No Solution Moving to Node #0,2,2 Current State: 28:[32, 22], Operations: ['64-36=28', '50-28=22'] Exploring Operation: 32+22=54, Resulting Numbers: [54] 54,28 unequal: No Solution Exploring Operation: 32-22=10, Resulting Numbers: [10] 10,28 unequal: No Solution Exploring Operation: 32*22=704, Resulting Numbers: [704] 704,28 unequal: No Solution Moving to Node #0,2,0 Current State: 28:[50, 4], Operations: ['64-36=28', '32-28=4'] Exploring Operation: 50*4=200, Resulting Numbers: [200] 200,28 unequal: No Solution Exploring Operation: 50+4=54, Resulting Numbers: [54] 54,28 unequal: No Solution Exploring Operation: 50-4=46, Resulting Numbers: [46] 46,28 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 28:[36, 50, 2], Operations: ['64/32=2'] Exploring Operation: 50/2=25, Resulting Numbers: [36, 25] Generated Node #0,1,0: 28:[36, 25] Operation: 50/2=25 Exploring Operation: 36/2=18, Resulting Numbers: [50, 18] Generated Node #0,1,1: 28:[50, 18] Operation: 36/2=18 Exploring Operation: 50-36=14, Resulting Numbers: [2, 14] Generated Node #0,1,2: 28:[2, 14] Operation: 50-36=14 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 28:[2, 14], Operations: ['64/32=2', '50-36=14'] Exploring Operation: 2*14=28, Resulting Numbers: [28] 28,28 equal: Goal Reached Moving to Node #0 Current State: 28:[64, 36, 32, 50], Operations: [] Exploring Operation: 64/32=2, Resulting Numbers: [36, 50, 2] Generated Node #0,1: 28:[36, 50, 2] Operation: 64/32=2 Moving to Node #0,1 Current State: 28:[36, 50, 2], Operations: ['64/32=2'] Exploring Operation: 50-36=14, Resulting Numbers: [2, 14] Generated Node #0,1,2: 28:[2, 14] Operation: 50-36=14 Moving to Node #0,1,2 Current State: 28:[2, 14], Operations: ['64/32=2', '50-36=14'] Exploring Operation: 2*14=28, Resulting Numbers: [28] 28,28 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.969618
hs_3
sum_heuristic
[ 74, 3, 38, 95 ]
97
[ "95-38=57", "3*57=171", "171-74=97" ]
Current State: 97:[74, 3, 38, 95], Operations: [] Exploring Operation: 95-38=57, Resulting Numbers: [74, 3, 57] Generated Node #2: [74, 3, 57] from Operation: 95-38=57 Current State: 97:[74, 3, 57], Operations: ['95-38=57'] Exploring Operation: 3*57=171, Resulting Numbers: [74, 171] Generated Node #3: [74, 171] from Operation: 3*57=171 Current State: 97:[74, 171], Operations: ['95-38=57', '3*57=171'] Exploring Operation: 171-74=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
Current State: 97:[74, 3, 38, 95], Operations: [] Exploring Operation: 74+3=77, Resulting Numbers: [38, 95, 77] Generated Node #0,0: 97:[38, 95, 77] Operation: 74+3=77 Exploring Operation: 3*38=114, Resulting Numbers: [74, 95, 114] Generated Node #0,1: 97:[74, 95, 114] Operation: 3*38=114 Moving to Node #0,1 Current State: 97:[74, 95, 114], Operations: ['3*38=114'] Exploring Operation: 114-74=40, Resulting Numbers: [95, 40] Generated Node #0,1,0: 97:[95, 40] Operation: 114-74=40 Exploring Operation: 74+95=169, Resulting Numbers: [114, 169] Generated Node #0,1,1: 97:[114, 169] Operation: 74+95=169 Moving to Node #0,0 Current State: 97:[38, 95, 77], Operations: ['74+3=77'] Exploring Operation: 38+77=115, Resulting Numbers: [95, 115] Generated Node #0,0,0: 97:[95, 115] Operation: 38+77=115 Exploring Operation: 38+95=133, Resulting Numbers: [77, 133] Generated Node #0,0,1: 97:[77, 133] Operation: 38+95=133 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 97:[95, 115], Operations: ['74+3=77', '38+77=115'] Exploring Operation: 95+115=210, Resulting Numbers: [210] 210,97 unequal: No Solution Exploring Operation: 115-95=20, Resulting Numbers: [20] 20,97 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 97:[77, 133], Operations: ['74+3=77', '38+95=133'] Exploring Operation: 77+133=210, Resulting Numbers: [210] 210,97 unequal: No Solution Exploring Operation: 133-77=56, Resulting Numbers: [56] 56,97 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,0 Current State: 97:[95, 40], Operations: ['3*38=114', '114-74=40'] Exploring Operation: 95-40=55, Resulting Numbers: [55] 55,97 unequal: No Solution Exploring Operation: 95+40=135, Resulting Numbers: [135] 135,97 unequal: No Solution Moving to Node #0,1,1 Current State: 97:[114, 169], Operations: ['3*38=114', '74+95=169'] Exploring Operation: 169-114=55, Resulting Numbers: [55] 55,97 unequal: No Solution Exploring Operation: 114+169=283, Resulting Numbers: [283] 283,97 unequal: No Solution No solution found.
0
hs_2
mult_heuristic
[ 6, 21, 10, 38 ]
43
[ "21-6=15", "38-10=28", "15+28=43" ]
Current State: 43:[6, 21, 10, 38], Operations: [] Exploring Operation: 21-6=15, Resulting Numbers: [10, 38, 15] Generated Node #2: [10, 38, 15] from Operation: 21-6=15 Current State: 43:[10, 38, 15], Operations: ['21-6=15'] Exploring Operation: 38-10=28, Resulting Numbers: [15, 28] Generated Node #3: [15, 28] from Operation: 38-10=28 Current State: 43:[15, 28], Operations: ['21-6=15', '38-10=28'] Exploring Operation: 15+28=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
Current State: 43:[6, 21, 10, 38], Operations: [] Exploring Operation: 6+21=27, Resulting Numbers: [10, 38, 27] Generated Node #0,0: 43:[10, 38, 27] Operation: 6+21=27 Exploring Operation: 6*10=60, Resulting Numbers: [21, 38, 60] Generated Node #0,1: 43:[21, 38, 60] Operation: 6*10=60 Exploring Operation: 6+10=16, Resulting Numbers: [21, 38, 16] Generated Node #0,2: 43:[21, 38, 16] Operation: 6+10=16 Moving to Node #0,1 Current State: 43:[21, 38, 60], Operations: ['6*10=60'] Exploring Operation: 38-21=17, Resulting Numbers: [60, 17] Generated Node #0,1,0: 43:[60, 17] Operation: 38-21=17 Exploring Operation: 21+38=59, Resulting Numbers: [60, 59] Generated Node #0,1,1: 43:[60, 59] Operation: 21+38=59 Exploring Operation: 60-21=39, Resulting Numbers: [38, 39] Generated Node #0,1,2: 43:[38, 39] Operation: 60-21=39 Moving to Node #0,0 Current State: 43:[10, 38, 27], Operations: ['6+21=27'] Exploring Operation: 10+38=48, Resulting Numbers: [27, 48] Generated Node #0,0,0: 43:[27, 48] Operation: 10+38=48 Exploring Operation: 10+27=37, Resulting Numbers: [38, 37] Generated Node #0,0,1: 43:[38, 37] Operation: 10+27=37 Exploring Operation: 38-10=28, Resulting Numbers: [27, 28] Generated Node #0,0,2: 43:[27, 28] Operation: 38-10=28 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 43:[38, 37], Operations: ['6+21=27', '10+27=37'] Exploring Operation: 38*37=1406, Resulting Numbers: [1406] 1406,43 unequal: No Solution Exploring Operation: 38-37=1, Resulting Numbers: [1] 1,43 unequal: No Solution Exploring Operation: 38+37=75, Resulting Numbers: [75] 75,43 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 43:[27, 48], Operations: ['6+21=27', '10+38=48'] Exploring Operation: 27+48=75, Resulting Numbers: [75] 75,43 unequal: No Solution Exploring Operation: 27*48=1296, Resulting Numbers: [1296] 1296,43 unequal: No Solution Exploring Operation: 48-27=21, Resulting Numbers: [21] 21,43 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 43:[27, 28], Operations: ['6+21=27', '38-10=28'] Exploring Operation: 28-27=1, Resulting Numbers: [1] 1,43 unequal: No Solution Exploring Operation: 27+28=55, Resulting Numbers: [55] 55,43 unequal: No Solution Exploring Operation: 27*28=756, Resulting Numbers: [756] 756,43 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 43:[21, 38, 16], Operations: ['6+10=16'] Exploring Operation: 21+38=59, Resulting Numbers: [16, 59] Generated Node #0,2,0: 43:[16, 59] Operation: 21+38=59 Exploring Operation: 21+16=37, Resulting Numbers: [38, 37] Generated Node #0,2,1: 43:[38, 37] Operation: 21+16=37 Exploring Operation: 38+16=54, Resulting Numbers: [21, 54] Generated Node #0,2,2: 43:[21, 54] Operation: 38+16=54 Moving to Node #0,1,2 Current State: 43:[38, 39], Operations: ['6*10=60', '60-21=39'] Exploring Operation: 39-38=1, Resulting Numbers: [1] 1,43 unequal: No Solution Exploring Operation: 38+39=77, Resulting Numbers: [77] 77,43 unequal: No Solution Exploring Operation: 38*39=1482, Resulting Numbers: [1482] 1482,43 unequal: No Solution Moving to Node #0,2,1 Current State: 43:[38, 37], Operations: ['6+10=16', '21+16=37'] Exploring Operation: 38-37=1, Resulting Numbers: [1] 1,43 unequal: No Solution Exploring Operation: 38+37=75, Resulting Numbers: [75] 75,43 unequal: No Solution Exploring Operation: 38*37=1406, Resulting Numbers: [1406] 1406,43 unequal: No Solution Moving to Node #0,2,2 Current State: 43:[21, 54], Operations: ['6+10=16', '38+16=54'] Exploring Operation: 21*54=1134, Resulting Numbers: [1134] 1134,43 unequal: No Solution Exploring Operation: 54-21=33, Resulting Numbers: [33] 33,43 unequal: No Solution Exploring Operation: 21+54=75, Resulting Numbers: [75] 75,43 unequal: No Solution Moving to Node #0,1,1 Current State: 43:[60, 59], Operations: ['6*10=60', '21+38=59'] Exploring Operation: 60+59=119, Resulting Numbers: [119] 119,43 unequal: No Solution Exploring Operation: 60*59=3540, Resulting Numbers: [3540] 3540,43 unequal: No Solution Exploring Operation: 60-59=1, Resulting Numbers: [1] 1,43 unequal: No Solution Moving to Node #0,2,0 Current State: 43:[16, 59], Operations: ['6+10=16', '21+38=59'] Exploring Operation: 16*59=944, Resulting Numbers: [944] 944,43 unequal: No Solution Exploring Operation: 16+59=75, Resulting Numbers: [75] 75,43 unequal: No Solution Exploring Operation: 59-16=43, Resulting Numbers: [43] 43,43 equal: Goal Reached Moving to Node #0 Current State: 43:[6, 21, 10, 38], Operations: [] Exploring Operation: 6+10=16, Resulting Numbers: [21, 38, 16] Generated Node #0,2: 43:[21, 38, 16] Operation: 6+10=16 Moving to Node #0,2 Current State: 43:[21, 38, 16], Operations: ['6+10=16'] Exploring Operation: 21+38=59, Resulting Numbers: [16, 59] Generated Node #0,2,0: 43:[16, 59] Operation: 21+38=59 Moving to Node #0,2,0 Current State: 43:[16, 59], Operations: ['6+10=16', '21+38=59'] Exploring Operation: 59-16=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
0.965278
hs_3
sum_heuristic
[ 28, 8, 26, 11 ]
66
[ "28-8=20", "26-20=6", "11*6=66" ]
Current State: 66:[28, 8, 26, 11], Operations: [] Exploring Operation: 28-8=20, Resulting Numbers: [26, 11, 20] Generated Node #2: [26, 11, 20] from Operation: 28-8=20 Current State: 66:[26, 11, 20], Operations: ['28-8=20'] Exploring Operation: 26-20=6, Resulting Numbers: [11, 6] Generated Node #3: [11, 6] from Operation: 26-20=6 Current State: 66:[11, 6], Operations: ['28-8=20', '26-20=6'] Exploring Operation: 11*6=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
Current State: 66:[28, 8, 26, 11], Operations: [] Exploring Operation: 28-26=2, Resulting Numbers: [8, 11, 2] Generated Node #0,0: 66:[8, 11, 2] Operation: 28-26=2 Start Sub Search at level 1: Moving to Node #0,0 Current State: 66:[8, 11, 2], Operations: ['28-26=2'] Exploring Operation: 11-8=3, Resulting Numbers: [2, 3] Generated Node #0,0,0: 66:[2, 3] Operation: 11-8=3 Moving to Node #0,0,0 Current State: 66:[2, 3], Operations: ['28-26=2', '11-8=3'] Exploring Operation: 2*3=6, Resulting Numbers: [6] 6,66 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
mult_heuristic
[ 84, 25, 44, 63 ]
40
[ "84-25=59", "63-44=19", "59-19=40" ]
Current State: 40:[84, 25, 44, 63], Operations: [] Exploring Operation: 84-25=59, Resulting Numbers: [44, 63, 59] Generated Node #2: [44, 63, 59] from Operation: 84-25=59 Current State: 40:[44, 63, 59], Operations: ['84-25=59'] Exploring Operation: 63-44=19, Resulting Numbers: [59, 19] Generated Node #3: [59, 19] from Operation: 63-44=19 Current State: 40:[59, 19], Operations: ['84-25=59', '63-44=19'] Exploring Operation: 59-19=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
Current State: 40:[84, 25, 44, 63], Operations: [] Exploring Operation: 84-25=59, Resulting Numbers: [44, 63, 59] Generated Node #0,0: 40:[44, 63, 59] Operation: 84-25=59 Exploring Operation: 84-44=40, Resulting Numbers: [25, 63, 40] Generated Node #0,1: 40:[25, 63, 40] Operation: 84-44=40 Exploring Operation: 84-63=21, Resulting Numbers: [25, 44, 21] Generated Node #0,2: 40:[25, 44, 21] Operation: 84-63=21 Start Sub Search at level 1: Moving to Node #0,2 Current State: 40:[25, 44, 21], Operations: ['84-63=21'] Exploring Operation: 44-21=23, Resulting Numbers: [25, 23] Generated Node #0,2,0: 40:[25, 23] Operation: 44-21=23 Exploring Operation: 44-25=19, Resulting Numbers: [21, 19] Generated Node #0,2,1: 40:[21, 19] Operation: 44-25=19 Exploring Operation: 25-21=4, Resulting Numbers: [44, 4] Generated Node #0,2,2: 40:[44, 4] Operation: 25-21=4 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 40:[21, 19], Operations: ['84-63=21', '44-25=19'] Exploring Operation: 21+19=40, Resulting Numbers: [40] 40,40 equal: Goal Reached Moving to Node #0 Current State: 40:[84, 25, 44, 63], Operations: [] Exploring Operation: 84-63=21, Resulting Numbers: [25, 44, 21] Generated Node #0,2: 40:[25, 44, 21] Operation: 84-63=21 Moving to Node #0,2 Current State: 40:[25, 44, 21], Operations: ['84-63=21'] Exploring Operation: 44-25=19, Resulting Numbers: [21, 19] Generated Node #0,2,1: 40:[21, 19] Operation: 44-25=19 Moving to Node #0,2,1 Current State: 40:[21, 19], Operations: ['84-63=21', '44-25=19'] Exploring Operation: 21+19=40, Resulting Numbers: [40] 40,40 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.990451
hs_3
mult_heuristic
[ 17, 96, 62, 90 ]
45
[ "17*90=1530", "96-62=34", "1530/34=45" ]
Current State: 45:[17, 96, 62, 90], Operations: [] Exploring Operation: 17*90=1530, Resulting Numbers: [96, 62, 1530] Generated Node #2: [96, 62, 1530] from Operation: 17*90=1530 Current State: 45:[96, 62, 1530], Operations: ['17*90=1530'] Exploring Operation: 96-62=34, Resulting Numbers: [1530, 34] Generated Node #3: [1530, 34] from Operation: 96-62=34 Current State: 45:[1530, 34], Operations: ['17*90=1530', '96-62=34'] Exploring Operation: 1530/34=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
Current State: 45:[17, 96, 62, 90], Operations: [] Exploring Operation: 96-90=6, Resulting Numbers: [17, 62, 6] Generated Node #0,0: 45:[17, 62, 6] Operation: 96-90=6 Exploring Operation: 62-17=45, Resulting Numbers: [96, 90, 45] Generated Node #0,1: 45:[96, 90, 45] Operation: 62-17=45 Exploring Operation: 96-17=79, Resulting Numbers: [62, 90, 79] Generated Node #0,2: 45:[62, 90, 79] Operation: 96-17=79 Exploring Operation: 90-62=28, Resulting Numbers: [17, 96, 28] Generated Node #0,3: 45:[17, 96, 28] Operation: 90-62=28 Exploring Operation: 96-62=34, Resulting Numbers: [17, 90, 34] Generated Node #0,4: 45:[17, 90, 34] Operation: 96-62=34 Start Sub Search at level 1: Moving to Node #0,0 Current State: 45:[17, 62, 6], Operations: ['96-90=6'] Exploring Operation: 17-6=11, Resulting Numbers: [62, 11] Generated Node #0,0,0: 45:[62, 11] Operation: 17-6=11 Exploring Operation: 62-6=56, Resulting Numbers: [17, 56] Generated Node #0,0,1: 45:[17, 56] Operation: 62-6=56 Exploring Operation: 62+6=68, Resulting Numbers: [17, 68] Generated Node #0,0,2: 45:[17, 68] Operation: 62+6=68 Exploring Operation: 62-17=45, Resulting Numbers: [6, 45] Generated Node #0,0,3: 45:[6, 45] Operation: 62-17=45 Exploring Operation: 17+6=23, Resulting Numbers: [62, 23] Generated Node #0,0,4: 45:[62, 23] Operation: 17+6=23 Moving to Node #0,0,3 Current State: 45:[6, 45], Operations: ['96-90=6', '62-17=45'] Exploring Operation: 6*45=270, Resulting Numbers: [270] 270,45 unequal: No Solution Exploring Operation: 6+45=51, Resulting Numbers: [51] 51,45 unequal: No Solution Exploring Operation: 45-6=39, Resulting Numbers: [39] 39,45 unequal: No Solution Moving to Node #0,0,1 Current State: 45:[17, 56], Operations: ['96-90=6', '62-6=56'] Exploring Operation: 17*56=952, Resulting Numbers: [952] 952,45 unequal: No Solution Exploring Operation: 17+56=73, Resulting Numbers: [73] 73,45 unequal: No Solution Exploring Operation: 56-17=39, Resulting Numbers: [39] 39,45 unequal: No Solution Moving to Node #0,0,0 Current State: 45:[62, 11], Operations: ['96-90=6', '17-6=11'] Exploring Operation: 62+11=73, Resulting Numbers: [73] 73,45 unequal: No Solution Exploring Operation: 62*11=682, Resulting Numbers: [682] 682,45 unequal: No Solution Exploring Operation: 62-11=51, Resulting Numbers: [51] 51,45 unequal: No Solution Moving to Node #0,0,2 Current State: 45:[17, 68], Operations: ['96-90=6', '62+6=68'] Exploring Operation: 68/17=4, Resulting Numbers: [4] 4,45 unequal: No Solution Exploring Operation: 17+68=85, Resulting Numbers: [85] 85,45 unequal: No Solution Exploring Operation: 68-17=51, Resulting Numbers: [51] 51,45 unequal: No Solution Exploring Operation: 17*68=1156, Resulting Numbers: [1156] 1156,45 unequal: No Solution Moving to Node #0,0,4 Current State: 45:[62, 23], Operations: ['96-90=6', '17+6=23'] Exploring Operation: 62+23=85, Resulting Numbers: [85] 85,45 unequal: No Solution Exploring Operation: 62*23=1426, Resulting Numbers: [1426] 1426,45 unequal: No Solution Exploring Operation: 62-23=39, Resulting Numbers: [39] 39,45 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 45:[17, 90, 34], Operations: ['96-62=34'] Exploring Operation: 90-34=56, Resulting Numbers: [17, 56] Generated Node #0,4,0: 45:[17, 56] Operation: 90-34=56 Exploring Operation: 17+34=51, Resulting Numbers: [90, 51] Generated Node #0,4,1: 45:[90, 51] Operation: 17+34=51 Exploring Operation: 34-17=17, Resulting Numbers: [90, 17] Generated Node #0,4,2: 45:[90, 17] Operation: 34-17=17 Exploring Operation: 34/17=2, Resulting Numbers: [90, 2] Generated Node #0,4,3: 45:[90, 2] Operation: 34/17=2 Exploring Operation: 90-17=73, Resulting Numbers: [34, 73] Generated Node #0,4,4: 45:[34, 73] Operation: 90-17=73 Moving to Node #0,4,0 Current State: 45:[17, 56], Operations: ['96-62=34', '90-34=56'] Exploring Operation: 56-17=39, Resulting Numbers: [39] 39,45 unequal: No Solution Exploring Operation: 17+56=73, Resulting Numbers: [73] 73,45 unequal: No Solution Exploring Operation: 17*56=952, Resulting Numbers: [952] 952,45 unequal: No Solution Moving to Node #0,4,4 Current State: 45:[34, 73], Operations: ['96-62=34', '90-17=73'] Exploring Operation: 34*73=2482, Resulting Numbers: [2482] 2482,45 unequal: No Solution Exploring Operation: 34+73=107, Resulting Numbers: [107] 107,45 unequal: No Solution Exploring Operation: 73-34=39, Resulting Numbers: [39] 39,45 unequal: No Solution Moving to Node #0,4,3 Current State: 45:[90, 2], Operations: ['96-62=34', '34/17=2'] Exploring Operation: 90*2=180, Resulting Numbers: [180] 180,45 unequal: No Solution Exploring Operation: 90+2=92, Resulting Numbers: [92] 92,45 unequal: No Solution Exploring Operation: 90-2=88, Resulting Numbers: [88] 88,45 unequal: No Solution Exploring Operation: 90/2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached Moving to Node #0 Current State: 45:[17, 96, 62, 90], Operations: [] Exploring Operation: 96-62=34, Resulting Numbers: [17, 90, 34] Generated Node #0,4: 45:[17, 90, 34] Operation: 96-62=34 Moving to Node #0,4 Current State: 45:[17, 90, 34], Operations: ['96-62=34'] Exploring Operation: 34/17=2, Resulting Numbers: [90, 2] Generated Node #0,4,3: 45:[90, 2] Operation: 34/17=2 Moving to Node #0,4,3 Current State: 45:[90, 2], Operations: ['96-62=34', '34/17=2'] Exploring Operation: 90/2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached Exit Sub Search at level 1
0.960938
hs_5
mult_heuristic
[ 49, 88, 90, 6 ]
54
[ "88-49=39", "90/6=15", "39+15=54" ]
Current State: 54:[49, 88, 90, 6], Operations: [] Exploring Operation: 88-49=39, Resulting Numbers: [90, 6, 39] Generated Node #2: [90, 6, 39] from Operation: 88-49=39 Current State: 54:[90, 6, 39], Operations: ['88-49=39'] Exploring Operation: 90/6=15, Resulting Numbers: [39, 15] Generated Node #3: [39, 15] from Operation: 90/6=15 Current State: 54:[39, 15], Operations: ['88-49=39', '90/6=15'] Exploring Operation: 39+15=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
Current State: 54:[49, 88, 90, 6], Operations: [] Exploring Operation: 90/6=15, Resulting Numbers: [49, 88, 15] Generated Node #0,0: 54:[49, 88, 15] Operation: 90/6=15 Exploring Operation: 90-88=2, Resulting Numbers: [49, 6, 2] Generated Node #0,1: 54:[49, 6, 2] Operation: 90-88=2 Exploring Operation: 90-49=41, Resulting Numbers: [88, 6, 41] Generated Node #0,2: 54:[88, 6, 41] Operation: 90-49=41 Moving to Node #0,1 Current State: 54:[49, 6, 2], Operations: ['90-88=2'] Exploring Operation: 49+6=55, Resulting Numbers: [2, 55] Generated Node #0,1,0: 54:[2, 55] Operation: 49+6=55 Exploring Operation: 6/2=3, Resulting Numbers: [49, 3] Generated Node #0,1,1: 54:[49, 3] Operation: 6/2=3 Exploring Operation: 49+2=51, Resulting Numbers: [6, 51] Generated Node #0,1,2: 54:[6, 51] Operation: 49+2=51 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 54:[2, 55], Operations: ['90-88=2', '49+6=55'] Exploring Operation: 2+55=57, Resulting Numbers: [57] 57,54 unequal: No Solution Exploring Operation: 55-2=53, Resulting Numbers: [53] 53,54 unequal: No Solution Exploring Operation: 2*55=110, Resulting Numbers: [110] 110,54 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 54:[6, 51], Operations: ['90-88=2', '49+2=51'] Exploring Operation: 51-6=45, Resulting Numbers: [45] 45,54 unequal: No Solution Exploring Operation: 6+51=57, Resulting Numbers: [57] 57,54 unequal: No Solution Exploring Operation: 6*51=306, Resulting Numbers: [306] 306,54 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 54:[49, 3], Operations: ['90-88=2', '6/2=3'] Exploring Operation: 49+3=52, Resulting Numbers: [52] 52,54 unequal: No Solution Exploring Operation: 49*3=147, Resulting Numbers: [147] 147,54 unequal: No Solution Exploring Operation: 49-3=46, Resulting Numbers: [46] 46,54 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 54:[49, 88, 15], Operations: ['90/6=15'] Exploring Operation: 49-15=34, Resulting Numbers: [88, 34] Generated Node #0,0,0: 54:[88, 34] Operation: 49-15=34 Exploring Operation: 88-15=73, Resulting Numbers: [49, 73] Generated Node #0,0,1: 54:[49, 73] Operation: 88-15=73 Exploring Operation: 88-49=39, Resulting Numbers: [15, 39] Generated Node #0,0,2: 54:[15, 39] Operation: 88-49=39 Moving to Node #0,2 Current State: 54:[88, 6, 41], Operations: ['90-49=41'] Exploring Operation: 6+41=47, Resulting Numbers: [88, 47] Generated Node #0,2,0: 54:[88, 47] Operation: 6+41=47 Exploring Operation: 88-41=47, Resulting Numbers: [6, 47] Generated Node #0,2,1: 54:[6, 47] Operation: 88-41=47 Exploring Operation: 88-6=82, Resulting Numbers: [41, 82] Generated Node #0,2,2: 54:[41, 82] Operation: 88-6=82 Moving to Node #0,2,1 Current State: 54:[6, 47], Operations: ['90-49=41', '88-41=47'] Exploring Operation: 6*47=282, Resulting Numbers: [282] 282,54 unequal: No Solution Exploring Operation: 6+47=53, Resulting Numbers: [53] 53,54 unequal: No Solution Exploring Operation: 47-6=41, Resulting Numbers: [41] 41,54 unequal: No Solution Moving to Node #0,0,2 Current State: 54:[15, 39], Operations: ['90/6=15', '88-49=39'] Exploring Operation: 15+39=54, Resulting Numbers: [54] 54,54 equal: Goal Reached Moving to Node #0 Current State: 54:[49, 88, 90, 6], Operations: [] Exploring Operation: 90/6=15, Resulting Numbers: [49, 88, 15] Generated Node #0,0: 54:[49, 88, 15] Operation: 90/6=15 Moving to Node #0,0 Current State: 54:[49, 88, 15], Operations: ['90/6=15'] Exploring Operation: 88-49=39, Resulting Numbers: [15, 39] Generated Node #0,0,2: 54:[15, 39] Operation: 88-49=39 Moving to Node #0,0,2 Current State: 54:[15, 39], Operations: ['90/6=15', '88-49=39'] Exploring Operation: 15+39=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
0.974826
hs_3
sum_heuristic
[ 67, 5, 53, 45 ]
69
[ "67+53=120", "120/5=24", "45+24=69" ]
Current State: 69:[67, 5, 53, 45], Operations: [] Exploring Operation: 67+53=120, Resulting Numbers: [5, 45, 120] Generated Node #2: [5, 45, 120] from Operation: 67+53=120 Current State: 69:[5, 45, 120], Operations: ['67+53=120'] Exploring Operation: 120/5=24, Resulting Numbers: [45, 24] Generated Node #3: [45, 24] from Operation: 120/5=24 Current State: 69:[45, 24], Operations: ['67+53=120', '120/5=24'] Exploring Operation: 45+24=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
Current State: 69:[67, 5, 53, 45], Operations: [] Exploring Operation: 53-45=8, Resulting Numbers: [67, 5, 8] Generated Node #0,0: 69:[67, 5, 8] Operation: 53-45=8 Start Sub Search at level 1: Moving to Node #0,0 Current State: 69:[67, 5, 8], Operations: ['53-45=8'] Exploring Operation: 8-5=3, Resulting Numbers: [67, 3] Generated Node #0,0,0: 69:[67, 3] Operation: 8-5=3 Moving to Node #0,0,0 Current State: 69:[67, 3], Operations: ['53-45=8', '8-5=3'] Exploring Operation: 67+3=70, Resulting Numbers: [70] 70,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 80, 51, 38, 16 ]
51
[ "80-51=29", "38-16=22", "29+22=51" ]
Current State: 51:[80, 51, 38, 16], Operations: [] Exploring Operation: 80-51=29, Resulting Numbers: [38, 16, 29] Generated Node #2: [38, 16, 29] from Operation: 80-51=29 Current State: 51:[38, 16, 29], Operations: ['80-51=29'] Exploring Operation: 38-16=22, Resulting Numbers: [29, 22] Generated Node #3: [29, 22] from Operation: 38-16=22 Current State: 51:[29, 22], Operations: ['80-51=29', '38-16=22'] Exploring Operation: 29+22=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
Current State: 51:[80, 51, 38, 16], Operations: [] Exploring Operation: 80-51=29, Resulting Numbers: [38, 16, 29] Generated Node #0,0: 51:[38, 16, 29] Operation: 80-51=29 Exploring Operation: 80-38=42, Resulting Numbers: [51, 16, 42] Generated Node #0,1: 51:[51, 16, 42] Operation: 80-38=42 Exploring Operation: 80/16=5, Resulting Numbers: [51, 38, 5] Generated Node #0,2: 51:[51, 38, 5] Operation: 80/16=5 Exploring Operation: 80-16=64, Resulting Numbers: [51, 38, 64] Generated Node #0,3: 51:[51, 38, 64] Operation: 80-16=64 Start Sub Search at level 1: Moving to Node #0,1 Current State: 51:[51, 16, 42], Operations: ['80-38=42'] Exploring Operation: 51+16=67, Resulting Numbers: [42, 67] Generated Node #0,1,0: 51:[42, 67] Operation: 51+16=67 Exploring Operation: 42-16=26, Resulting Numbers: [51, 26] Generated Node #0,1,1: 51:[51, 26] Operation: 42-16=26 Exploring Operation: 16+42=58, Resulting Numbers: [51, 58] Generated Node #0,1,2: 51:[51, 58] Operation: 16+42=58 Exploring Operation: 51-42=9, Resulting Numbers: [16, 9] Generated Node #0,1,3: 51:[16, 9] Operation: 51-42=9 Moving to Node #0,1,2 Current State: 51:[51, 58], Operations: ['80-38=42', '16+42=58'] Exploring Operation: 51*58=2958, Resulting Numbers: [2958] 2958,51 unequal: No Solution Exploring Operation: 58-51=7, Resulting Numbers: [7] 7,51 unequal: No Solution Exploring Operation: 51+58=109, Resulting Numbers: [109] 109,51 unequal: No Solution Moving to Node #0,1,3 Current State: 51:[16, 9], Operations: ['80-38=42', '51-42=9'] Exploring Operation: 16*9=144, Resulting Numbers: [144] 144,51 unequal: No Solution Exploring Operation: 16+9=25, Resulting Numbers: [25] 25,51 unequal: No Solution Exploring Operation: 16-9=7, Resulting Numbers: [7] 7,51 unequal: No Solution Moving to Node #0,1,1 Current State: 51:[51, 26], Operations: ['80-38=42', '42-16=26'] Exploring Operation: 51+26=77, Resulting Numbers: [77] 77,51 unequal: No Solution Exploring Operation: 51-26=25, Resulting Numbers: [25] 25,51 unequal: No Solution Exploring Operation: 51*26=1326, Resulting Numbers: [1326] 1326,51 unequal: No Solution Moving to Node #0,1,0 Current State: 51:[42, 67], Operations: ['80-38=42', '51+16=67'] Exploring Operation: 42*67=2814, Resulting Numbers: [2814] 2814,51 unequal: No Solution Exploring Operation: 67-42=25, Resulting Numbers: [25] 25,51 unequal: No Solution Exploring Operation: 42+67=109, Resulting Numbers: [109] 109,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 51:[51, 38, 5], Operations: ['80/16=5'] Exploring Operation: 38+5=43, Resulting Numbers: [51, 43] Generated Node #0,2,0: 51:[51, 43] Operation: 38+5=43 Exploring Operation: 51-38=13, Resulting Numbers: [5, 13] Generated Node #0,2,1: 51:[5, 13] Operation: 51-38=13 Exploring Operation: 51+5=56, Resulting Numbers: [38, 56] Generated Node #0,2,2: 51:[38, 56] Operation: 51+5=56 Exploring Operation: 38-5=33, Resulting Numbers: [51, 33] Generated Node #0,2,3: 51:[51, 33] Operation: 38-5=33 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 51:[5, 13], Operations: ['80/16=5', '51-38=13'] Exploring Operation: 13-5=8, Resulting Numbers: [8] 8,51 unequal: No Solution Exploring Operation: 5+13=18, Resulting Numbers: [18] 18,51 unequal: No Solution Exploring Operation: 5*13=65, Resulting Numbers: [65] 65,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 51:[51, 43], Operations: ['80/16=5', '38+5=43'] Exploring Operation: 51*43=2193, Resulting Numbers: [2193] 2193,51 unequal: No Solution Exploring Operation: 51+43=94, Resulting Numbers: [94] 94,51 unequal: No Solution Exploring Operation: 51-43=8, Resulting Numbers: [8] 8,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 51:[51, 33], Operations: ['80/16=5', '38-5=33'] Exploring Operation: 51+33=84, Resulting Numbers: [84] 84,51 unequal: No Solution Exploring Operation: 51*33=1683, Resulting Numbers: [1683] 1683,51 unequal: No Solution Exploring Operation: 51-33=18, Resulting Numbers: [18] 18,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 51:[38, 56], Operations: ['80/16=5', '51+5=56'] Exploring Operation: 38+56=94, Resulting Numbers: [94] 94,51 unequal: No Solution Exploring Operation: 38*56=2128, Resulting Numbers: [2128] 2128,51 unequal: No Solution Exploring Operation: 56-38=18, Resulting Numbers: [18] 18,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 51:[38, 16, 29], Operations: ['80-51=29'] Exploring Operation: 38-16=22, Resulting Numbers: [29, 22] Generated Node #0,0,0: 51:[29, 22] Operation: 38-16=22 Exploring Operation: 38+29=67, Resulting Numbers: [16, 67] Generated Node #0,0,1: 51:[16, 67] Operation: 38+29=67 Exploring Operation: 38-29=9, Resulting Numbers: [16, 9] Generated Node #0,0,2: 51:[16, 9] Operation: 38-29=9 Exploring Operation: 38+16=54, Resulting Numbers: [29, 54] Generated Node #0,0,3: 51:[29, 54] Operation: 38+16=54 Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 51:[16, 9], Operations: ['80-51=29', '38-29=9'] Exploring Operation: 16+9=25, Resulting Numbers: [25] 25,51 unequal: No Solution Exploring Operation: 16*9=144, Resulting Numbers: [144] 144,51 unequal: No Solution Exploring Operation: 16-9=7, Resulting Numbers: [7] 7,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 51:[29, 54], Operations: ['80-51=29', '38+16=54'] Exploring Operation: 54-29=25, Resulting Numbers: [25] 25,51 unequal: No Solution Exploring Operation: 29*54=1566, Resulting Numbers: [1566] 1566,51 unequal: No Solution Exploring Operation: 29+54=83, Resulting Numbers: [83] 83,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 51:[29, 22], Operations: ['80-51=29', '38-16=22'] Exploring Operation: 29*22=638, Resulting Numbers: [638] 638,51 unequal: No Solution Exploring Operation: 29+22=51, Resulting Numbers: [51] 51,51 equal: Goal Reached Moving to Node #0 Current State: 51:[80, 51, 38, 16], Operations: [] Exploring Operation: 80-51=29, Resulting Numbers: [38, 16, 29] Generated Node #0,0: 51:[38, 16, 29] Operation: 80-51=29 Moving to Node #0,0 Current State: 51:[38, 16, 29], Operations: ['80-51=29'] Exploring Operation: 38-16=22, Resulting Numbers: [29, 22] Generated Node #0,0,0: 51:[29, 22] Operation: 38-16=22 Moving to Node #0,0,0 Current State: 51:[29, 22], Operations: ['80-51=29', '38-16=22'] Exploring Operation: 29+22=51, Resulting Numbers: [51] 51,51 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.954861
hs_4
mult_heuristic
[ 16, 64, 22, 2 ]
83
[ "16+22=38", "38/2=19", "64+19=83" ]
Current State: 83:[16, 64, 22, 2], Operations: [] Exploring Operation: 16+22=38, Resulting Numbers: [64, 2, 38] Generated Node #2: [64, 2, 38] from Operation: 16+22=38 Current State: 83:[64, 2, 38], Operations: ['16+22=38'] Exploring Operation: 38/2=19, Resulting Numbers: [64, 19] Generated Node #3: [64, 19] from Operation: 38/2=19 Current State: 83:[64, 19], Operations: ['16+22=38', '38/2=19'] Exploring Operation: 64+19=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
Current State: 83:[16, 64, 22, 2], Operations: [] Exploring Operation: 16*2=32, Resulting Numbers: [64, 22, 32] Generated Node #0,0: 83:[64, 22, 32] Operation: 16*2=32 Exploring Operation: 16+64=80, Resulting Numbers: [22, 2, 80] Generated Node #0,1: 83:[22, 2, 80] Operation: 16+64=80 Exploring Operation: 16+2=18, Resulting Numbers: [64, 22, 18] Generated Node #0,2: 83:[64, 22, 18] Operation: 16+2=18 Exploring Operation: 22*2=44, Resulting Numbers: [16, 64, 44] Generated Node #0,3: 83:[16, 64, 44] Operation: 22*2=44 Exploring Operation: 16+22=38, Resulting Numbers: [64, 2, 38] Generated Node #0,4: 83:[64, 2, 38] Operation: 16+22=38 Start Sub Search at level 1: Moving to Node #0,3 Current State: 83:[16, 64, 44], Operations: ['22*2=44'] Exploring Operation: 64+44=108, Resulting Numbers: [16, 108] Generated Node #0,3,0: 83:[16, 108] Operation: 64+44=108 Exploring Operation: 44-16=28, Resulting Numbers: [64, 28] Generated Node #0,3,1: 83:[64, 28] Operation: 44-16=28 Exploring Operation: 64-16=48, Resulting Numbers: [44, 48] Generated Node #0,3,2: 83:[44, 48] Operation: 64-16=48 Exploring Operation: 16+64=80, Resulting Numbers: [44, 80] Generated Node #0,3,3: 83:[44, 80] Operation: 16+64=80 Exploring Operation: 16+44=60, Resulting Numbers: [64, 60] Generated Node #0,3,4: 83:[64, 60] Operation: 16+44=60 Moving to Node #0,3,3 Current State: 83:[44, 80], Operations: ['22*2=44', '16+64=80'] Exploring Operation: 44*80=3520, Resulting Numbers: [3520] 3520,83 unequal: No Solution Exploring Operation: 44+80=124, Resulting Numbers: [124] 124,83 unequal: No Solution Exploring Operation: 80-44=36, Resulting Numbers: [36] 36,83 unequal: No Solution Moving to Node #0,3,4 Current State: 83:[64, 60], Operations: ['22*2=44', '16+44=60'] Exploring Operation: 64+60=124, Resulting Numbers: [124] 124,83 unequal: No Solution Exploring Operation: 64-60=4, Resulting Numbers: [4] 4,83 unequal: No Solution Exploring Operation: 64*60=3840, Resulting Numbers: [3840] 3840,83 unequal: No Solution Moving to Node #0,3,1 Current State: 83:[64, 28], Operations: ['22*2=44', '44-16=28'] Exploring Operation: 64+28=92, Resulting Numbers: [92] 92,83 unequal: No Solution Exploring Operation: 64-28=36, Resulting Numbers: [36] 36,83 unequal: No Solution Exploring Operation: 64*28=1792, Resulting Numbers: [1792] 1792,83 unequal: No Solution Moving to Node #0,3,2 Current State: 83:[44, 48], Operations: ['22*2=44', '64-16=48'] Exploring Operation: 44*48=2112, Resulting Numbers: [2112] 2112,83 unequal: No Solution Exploring Operation: 48-44=4, Resulting Numbers: [4] 4,83 unequal: No Solution Exploring Operation: 44+48=92, Resulting Numbers: [92] 92,83 unequal: No Solution Moving to Node #0,3,0 Current State: 83:[16, 108], Operations: ['22*2=44', '64+44=108'] Exploring Operation: 16*108=1728, Resulting Numbers: [1728] 1728,83 unequal: No Solution Exploring Operation: 16+108=124, Resulting Numbers: [124] 124,83 unequal: No Solution Exploring Operation: 108-16=92, Resulting Numbers: [92] 92,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 83:[64, 22, 32], Operations: ['16*2=32'] Exploring Operation: 64-22=42, Resulting Numbers: [32, 42] Generated Node #0,0,0: 83:[32, 42] Operation: 64-22=42 Exploring Operation: 64+22=86, Resulting Numbers: [32, 86] Generated Node #0,0,1: 83:[32, 86] Operation: 64+22=86 Exploring Operation: 64+32=96, Resulting Numbers: [22, 96] Generated Node #0,0,2: 83:[22, 96] Operation: 64+32=96 Exploring Operation: 22+32=54, Resulting Numbers: [64, 54] Generated Node #0,0,3: 83:[64, 54] Operation: 22+32=54 Exploring Operation: 32-22=10, Resulting Numbers: [64, 10] Generated Node #0,0,4: 83:[64, 10] Operation: 32-22=10 Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 83:[64, 54], Operations: ['16*2=32', '22+32=54'] Exploring Operation: 64+54=118, Resulting Numbers: [118] 118,83 unequal: No Solution Exploring Operation: 64*54=3456, Resulting Numbers: [3456] 3456,83 unequal: No Solution Exploring Operation: 64-54=10, Resulting Numbers: [10] 10,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 83:[32, 86], Operations: ['16*2=32', '64+22=86'] Exploring Operation: 32+86=118, Resulting Numbers: [118] 118,83 unequal: No Solution Exploring Operation: 86-32=54, Resulting Numbers: [54] 54,83 unequal: No Solution Exploring Operation: 32*86=2752, Resulting Numbers: [2752] 2752,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 83:[22, 96], Operations: ['16*2=32', '64+32=96'] Exploring Operation: 96-22=74, Resulting Numbers: [74] 74,83 unequal: No Solution Exploring Operation: 22*96=2112, Resulting Numbers: [2112] 2112,83 unequal: No Solution Exploring Operation: 22+96=118, Resulting Numbers: [118] 118,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 83:[32, 42], Operations: ['16*2=32', '64-22=42'] Exploring Operation: 32+42=74, Resulting Numbers: [74] 74,83 unequal: No Solution Exploring Operation: 32*42=1344, Resulting Numbers: [1344] 1344,83 unequal: No Solution Exploring Operation: 42-32=10, Resulting Numbers: [10] 10,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,4 Current State: 83:[64, 10], Operations: ['16*2=32', '32-22=10'] Exploring Operation: 64-10=54, Resulting Numbers: [54] 54,83 unequal: No Solution Exploring Operation: 64*10=640, Resulting Numbers: [640] 640,83 unequal: No Solution Exploring Operation: 64+10=74, Resulting Numbers: [74] 74,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 83:[22, 2, 80], Operations: ['16+64=80'] Exploring Operation: 22+2=24, Resulting Numbers: [80, 24] Generated Node #0,1,0: 83:[80, 24] Operation: 22+2=24 Exploring Operation: 80-2=78, Resulting Numbers: [22, 78] Generated Node #0,1,1: 83:[22, 78] Operation: 80-2=78 Exploring Operation: 22*2=44, Resulting Numbers: [80, 44] Generated Node #0,1,2: 83:[80, 44] Operation: 22*2=44 Exploring Operation: 22-2=20, Resulting Numbers: [80, 20] Generated Node #0,1,3: 83:[80, 20] Operation: 22-2=20 Exploring Operation: 2+80=82, Resulting Numbers: [22, 82] Generated Node #0,1,4: 83:[22, 82] Operation: 2+80=82 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 83:[80, 44], Operations: ['16+64=80', '22*2=44'] Exploring Operation: 80-44=36, Resulting Numbers: [36] 36,83 unequal: No Solution Exploring Operation: 80+44=124, Resulting Numbers: [124] 124,83 unequal: No Solution Exploring Operation: 80*44=3520, Resulting Numbers: [3520] 3520,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 83:[80, 24], Operations: ['16+64=80', '22+2=24'] Exploring Operation: 80*24=1920, Resulting Numbers: [1920] 1920,83 unequal: No Solution Exploring Operation: 80+24=104, Resulting Numbers: [104] 104,83 unequal: No Solution Exploring Operation: 80-24=56, Resulting Numbers: [56] 56,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,4 Current State: 83:[22, 82], Operations: ['16+64=80', '2+80=82'] Exploring Operation: 82-22=60, Resulting Numbers: [60] 60,83 unequal: No Solution Exploring Operation: 22+82=104, Resulting Numbers: [104] 104,83 unequal: No Solution Exploring Operation: 22*82=1804, Resulting Numbers: [1804] 1804,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 83:[22, 78], Operations: ['16+64=80', '80-2=78'] Exploring Operation: 78-22=56, Resulting Numbers: [56] 56,83 unequal: No Solution Exploring Operation: 22*78=1716, Resulting Numbers: [1716] 1716,83 unequal: No Solution Exploring Operation: 22+78=100, Resulting Numbers: [100] 100,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 83:[80, 20], Operations: ['16+64=80', '22-2=20'] Exploring Operation: 80/20=4, Resulting Numbers: [4] 4,83 unequal: No Solution Exploring Operation: 80*20=1600, Resulting Numbers: [1600] 1600,83 unequal: No Solution Exploring Operation: 80+20=100, Resulting Numbers: [100] 100,83 unequal: No Solution Exploring Operation: 80-20=60, Resulting Numbers: [60] 60,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 83:[64, 22, 18], Operations: ['16+2=18'] Exploring Operation: 64-18=46, Resulting Numbers: [22, 46] Generated Node #0,2,0: 83:[22, 46] Operation: 64-18=46 Exploring Operation: 22+18=40, Resulting Numbers: [64, 40] Generated Node #0,2,1: 83:[64, 40] Operation: 22+18=40 Exploring Operation: 64+22=86, Resulting Numbers: [18, 86] Generated Node #0,2,2: 83:[18, 86] Operation: 64+22=86 Exploring Operation: 64+18=82, Resulting Numbers: [22, 82] Generated Node #0,2,3: 83:[22, 82] Operation: 64+18=82 Exploring Operation: 22-18=4, Resulting Numbers: [64, 4] Generated Node #0,2,4: 83:[64, 4] Operation: 22-18=4 Moving to Node #0,2,1 Current State: 83:[64, 40], Operations: ['16+2=18', '22+18=40'] Exploring Operation: 64*40=2560, Resulting Numbers: [2560] 2560,83 unequal: No Solution Exploring Operation: 64+40=104, Resulting Numbers: [104] 104,83 unequal: No Solution Exploring Operation: 64-40=24, Resulting Numbers: [24] 24,83 unequal: No Solution Moving to Node #0,2,3 Current State: 83:[22, 82], Operations: ['16+2=18', '64+18=82'] Exploring Operation: 22+82=104, Resulting Numbers: [104] 104,83 unequal: No Solution Exploring Operation: 82-22=60, Resulting Numbers: [60] 60,83 unequal: No Solution Exploring Operation: 22*82=1804, Resulting Numbers: [1804] 1804,83 unequal: No Solution Moving to Node #0,2,2 Current State: 83:[18, 86], Operations: ['16+2=18', '64+22=86'] Exploring Operation: 18*86=1548, Resulting Numbers: [1548] 1548,83 unequal: No Solution Exploring Operation: 18+86=104, Resulting Numbers: [104] 104,83 unequal: No Solution Exploring Operation: 86-18=68, Resulting Numbers: [68] 68,83 unequal: No Solution Moving to Node #0,2,0 Current State: 83:[22, 46], Operations: ['16+2=18', '64-18=46'] Exploring Operation: 22+46=68, Resulting Numbers: [68] 68,83 unequal: No Solution Exploring Operation: 22*46=1012, Resulting Numbers: [1012] 1012,83 unequal: No Solution Exploring Operation: 46-22=24, Resulting Numbers: [24] 24,83 unequal: No Solution Moving to Node #0,2,4 Current State: 83:[64, 4], Operations: ['16+2=18', '22-18=4'] Exploring Operation: 64/4=16, Resulting Numbers: [16] 16,83 unequal: No Solution Exploring Operation: 64+4=68, Resulting Numbers: [68] 68,83 unequal: No Solution Exploring Operation: 64*4=256, Resulting Numbers: [256] 256,83 unequal: No Solution Exploring Operation: 64-4=60, Resulting Numbers: [60] 60,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 83:[64, 2, 38], Operations: ['16+22=38'] Exploring Operation: 64-2=62, Resulting Numbers: [38, 62] Generated Node #0,4,0: 83:[38, 62] Operation: 64-2=62 Exploring Operation: 2+38=40, Resulting Numbers: [64, 40] Generated Node #0,4,1: 83:[64, 40] Operation: 2+38=40 Exploring Operation: 64+2=66, Resulting Numbers: [38, 66] Generated Node #0,4,2: 83:[38, 66] Operation: 64+2=66 Exploring Operation: 38-2=36, Resulting Numbers: [64, 36] Generated Node #0,4,3: 83:[64, 36] Operation: 38-2=36 Exploring Operation: 2*38=76, Resulting Numbers: [64, 76] Generated Node #0,4,4: 83:[64, 76] Operation: 2*38=76 Moving to Node #0,4,4 Current State: 83:[64, 76], Operations: ['16+22=38', '2*38=76'] Exploring Operation: 64*76=4864, Resulting Numbers: [4864] 4864,83 unequal: No Solution Exploring Operation: 76-64=12, Resulting Numbers: [12] 12,83 unequal: No Solution Exploring Operation: 64+76=140, Resulting Numbers: [140] 140,83 unequal: No Solution Moving to Node #0,4,2 Current State: 83:[38, 66], Operations: ['16+22=38', '64+2=66'] Exploring Operation: 66-38=28, Resulting Numbers: [28] 28,83 unequal: No Solution Exploring Operation: 38+66=104, Resulting Numbers: [104] 104,83 unequal: No Solution Exploring Operation: 38*66=2508, Resulting Numbers: [2508] 2508,83 unequal: No Solution Moving to Node #0,4,1 Current State: 83:[64, 40], Operations: ['16+22=38', '2+38=40'] Exploring Operation: 64*40=2560, Resulting Numbers: [2560] 2560,83 unequal: No Solution Exploring Operation: 64-40=24, Resulting Numbers: [24] 24,83 unequal: No Solution Exploring Operation: 64+40=104, Resulting Numbers: [104] 104,83 unequal: No Solution Moving to Node #0,4,0 Current State: 83:[38, 62], Operations: ['16+22=38', '64-2=62'] Exploring Operation: 38+62=100, Resulting Numbers: [100] 100,83 unequal: No Solution Exploring Operation: 62-38=24, Resulting Numbers: [24] 24,83 unequal: No Solution Exploring Operation: 38*62=2356, Resulting Numbers: [2356] 2356,83 unequal: No Solution Moving to Node #0,4,3 Current State: 83:[64, 36], Operations: ['16+22=38', '38-2=36'] Exploring Operation: 64+36=100, Resulting Numbers: [100] 100,83 unequal: No Solution Exploring Operation: 64-36=28, Resulting Numbers: [28] 28,83 unequal: No Solution Exploring Operation: 64*36=2304, Resulting Numbers: [2304] 2304,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
sum_heuristic
[ 17, 65, 79, 56 ]
25
[ "65-17=48", "79-56=23", "48-23=25" ]
Current State: 25:[17, 65, 79, 56], Operations: [] Exploring Operation: 65-17=48, Resulting Numbers: [79, 56, 48] Generated Node #2: [79, 56, 48] from Operation: 65-17=48 Current State: 25:[79, 56, 48], Operations: ['65-17=48'] Exploring Operation: 79-56=23, Resulting Numbers: [48, 23] Generated Node #3: [48, 23] from Operation: 79-56=23 Current State: 25:[48, 23], Operations: ['65-17=48', '79-56=23'] Exploring Operation: 48-23=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
Current State: 25:[17, 65, 79, 56], Operations: [] Exploring Operation: 79-65=14, Resulting Numbers: [17, 56, 14] Generated Node #0,0: 25:[17, 56, 14] Operation: 79-65=14 Exploring Operation: 65-56=9, Resulting Numbers: [17, 79, 9] Generated Node #0,1: 25:[17, 79, 9] Operation: 65-56=9 Exploring Operation: 65-17=48, Resulting Numbers: [79, 56, 48] Generated Node #0,2: 25:[79, 56, 48] Operation: 65-17=48 Exploring Operation: 79-56=23, Resulting Numbers: [17, 65, 23] Generated Node #0,3: 25:[17, 65, 23] Operation: 79-56=23 Moving to Node #0,0 Current State: 25:[17, 56, 14], Operations: ['79-65=14'] Exploring Operation: 17-14=3, Resulting Numbers: [56, 3] Generated Node #0,0,0: 25:[56, 3] Operation: 17-14=3 Exploring Operation: 56/14=4, Resulting Numbers: [17, 4] Generated Node #0,0,1: 25:[17, 4] Operation: 56/14=4 Exploring Operation: 56-14=42, Resulting Numbers: [17, 42] Generated Node #0,0,2: 25:[17, 42] Operation: 56-14=42 Exploring Operation: 56-17=39, Resulting Numbers: [14, 39] Generated Node #0,0,3: 25:[14, 39] Operation: 56-17=39 Moving to Node #0,3 Current State: 25:[17, 65, 23], Operations: ['79-56=23'] Exploring Operation: 65-17=48, Resulting Numbers: [23, 48] Generated Node #0,3,0: 25:[23, 48] Operation: 65-17=48 Exploring Operation: 23-17=6, Resulting Numbers: [65, 6] Generated Node #0,3,1: 25:[65, 6] Operation: 23-17=6 Exploring Operation: 65-23=42, Resulting Numbers: [17, 42] Generated Node #0,3,2: 25:[17, 42] Operation: 65-23=42 Exploring Operation: 17+23=40, Resulting Numbers: [65, 40] Generated Node #0,3,3: 25:[65, 40] Operation: 17+23=40 Moving to Node #0,1 Current State: 25:[17, 79, 9], Operations: ['65-56=9'] Exploring Operation: 79-17=62, Resulting Numbers: [9, 62] Generated Node #0,1,0: 25:[9, 62] Operation: 79-17=62 Exploring Operation: 79-9=70, Resulting Numbers: [17, 70] Generated Node #0,1,1: 25:[17, 70] Operation: 79-9=70 Exploring Operation: 17-9=8, Resulting Numbers: [79, 8] Generated Node #0,1,2: 25:[79, 8] Operation: 17-9=8 Exploring Operation: 17+9=26, Resulting Numbers: [79, 26] Generated Node #0,1,3: 25:[79, 26] Operation: 17+9=26 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 25:[9, 62], Operations: ['65-56=9', '79-17=62'] Exploring Operation: 9*62=558, Resulting Numbers: [558] 558,25 unequal: No Solution Exploring Operation: 9+62=71, Resulting Numbers: [71] 71,25 unequal: No Solution Exploring Operation: 62-9=53, Resulting Numbers: [53] 53,25 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 25:[17, 70], Operations: ['65-56=9', '79-9=70'] Exploring Operation: 70-17=53, Resulting Numbers: [53] 53,25 unequal: No Solution Exploring Operation: 17*70=1190, Resulting Numbers: [1190] 1190,25 unequal: No Solution Exploring Operation: 17+70=87, Resulting Numbers: [87] 87,25 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 25:[79, 26], Operations: ['65-56=9', '17+9=26'] Exploring Operation: 79+26=105, Resulting Numbers: [105] 105,25 unequal: No Solution Exploring Operation: 79-26=53, Resulting Numbers: [53] 53,25 unequal: No Solution Exploring Operation: 79*26=2054, Resulting Numbers: [2054] 2054,25 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 25:[79, 8], Operations: ['65-56=9', '17-9=8'] Exploring Operation: 79-8=71, Resulting Numbers: [71] 71,25 unequal: No Solution Exploring Operation: 79+8=87, Resulting Numbers: [87] 87,25 unequal: No Solution Exploring Operation: 79*8=632, Resulting Numbers: [632] 632,25 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 25:[79, 56, 48], Operations: ['65-17=48'] Exploring Operation: 79-56=23, Resulting Numbers: [48, 23] Generated Node #0,2,0: 25:[48, 23] Operation: 79-56=23 Exploring Operation: 56-48=8, Resulting Numbers: [79, 8] Generated Node #0,2,1: 25:[79, 8] Operation: 56-48=8 Exploring Operation: 79-48=31, Resulting Numbers: [56, 31] Generated Node #0,2,2: 25:[56, 31] Operation: 79-48=31 Exploring Operation: 79+56=135, Resulting Numbers: [48, 135] Generated Node #0,2,3: 25:[48, 135] Operation: 79+56=135 Moving to Node #0,0,1 Current State: 25:[17, 4], Operations: ['79-65=14', '56/14=4'] Exploring Operation: 17+4=21, Resulting Numbers: [21] 21,25 unequal: No Solution Exploring Operation: 17-4=13, Resulting Numbers: [13] 13,25 unequal: No Solution Exploring Operation: 17*4=68, Resulting Numbers: [68] 68,25 unequal: No Solution Moving to Node #0,0,3 Current State: 25:[14, 39], Operations: ['79-65=14', '56-17=39'] Exploring Operation: 39-14=25, Resulting Numbers: [25] 25,25 equal: Goal Reached Moving to Node #0 Current State: 25:[17, 65, 79, 56], Operations: [] Exploring Operation: 79-65=14, Resulting Numbers: [17, 56, 14] Generated Node #0,0: 25:[17, 56, 14] Operation: 79-65=14 Moving to Node #0,0 Current State: 25:[17, 56, 14], Operations: ['79-65=14'] Exploring Operation: 56-17=39, Resulting Numbers: [14, 39] Generated Node #0,0,3: 25:[14, 39] Operation: 56-17=39 Moving to Node #0,0,3 Current State: 25:[14, 39], Operations: ['79-65=14', '56-17=39'] Exploring Operation: 39-14=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
0.965278
hs_4
mult_heuristic
[ 92, 99, 86, 84 ]
85
[ "92-86=6", "84/6=14", "99-14=85" ]
Current State: 85:[92, 99, 86, 84], Operations: [] Exploring Operation: 92-86=6, Resulting Numbers: [99, 84, 6] Generated Node #2: [99, 84, 6] from Operation: 92-86=6 Current State: 85:[99, 84, 6], Operations: ['92-86=6'] Exploring Operation: 84/6=14, Resulting Numbers: [99, 14] Generated Node #3: [99, 14] from Operation: 84/6=14 Current State: 85:[99, 14], Operations: ['92-86=6', '84/6=14'] Exploring Operation: 99-14=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
Current State: 85:[92, 99, 86, 84], Operations: [] Exploring Operation: 99-92=7, Resulting Numbers: [86, 84, 7] Generated Node #0,0: 85:[86, 84, 7] Operation: 99-92=7 Exploring Operation: 92-84=8, Resulting Numbers: [99, 86, 8] Generated Node #0,1: 85:[99, 86, 8] Operation: 92-84=8 Exploring Operation: 99-84=15, Resulting Numbers: [92, 86, 15] Generated Node #0,2: 85:[92, 86, 15] Operation: 99-84=15 Exploring Operation: 99-86=13, Resulting Numbers: [92, 84, 13] Generated Node #0,3: 85:[92, 84, 13] Operation: 99-86=13 Exploring Operation: 92-86=6, Resulting Numbers: [99, 84, 6] Generated Node #0,4: 85:[99, 84, 6] Operation: 92-86=6 Moving to Node #0,0 Current State: 85:[86, 84, 7], Operations: ['99-92=7'] Exploring Operation: 86+7=93, Resulting Numbers: [84, 93] Generated Node #0,0,0: 85:[84, 93] Operation: 86+7=93 Exploring Operation: 86-7=79, Resulting Numbers: [84, 79] Generated Node #0,0,1: 85:[84, 79] Operation: 86-7=79 Exploring Operation: 84/7=12, Resulting Numbers: [86, 12] Generated Node #0,0,2: 85:[86, 12] Operation: 84/7=12 Exploring Operation: 84+7=91, Resulting Numbers: [86, 91] Generated Node #0,0,3: 85:[86, 91] Operation: 84+7=91 Exploring Operation: 86-84=2, Resulting Numbers: [7, 2] Generated Node #0,0,4: 85:[7, 2] Operation: 86-84=2 Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 85:[7, 2], Operations: ['99-92=7', '86-84=2'] Exploring Operation: 7+2=9, Resulting Numbers: [9] 9,85 unequal: No Solution Exploring Operation: 7*2=14, Resulting Numbers: [14] 14,85 unequal: No Solution Exploring Operation: 7-2=5, Resulting Numbers: [5] 5,85 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 85:[86, 12], Operations: ['99-92=7', '84/7=12'] Exploring Operation: 86+12=98, Resulting Numbers: [98] 98,85 unequal: No Solution Exploring Operation: 86-12=74, Resulting Numbers: [74] 74,85 unequal: No Solution Exploring Operation: 86*12=1032, Resulting Numbers: [1032] 1032,85 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 85:[84, 79], Operations: ['99-92=7', '86-7=79'] Exploring Operation: 84*79=6636, Resulting Numbers: [6636] 6636,85 unequal: No Solution Exploring Operation: 84-79=5, Resulting Numbers: [5] 5,85 unequal: No Solution Exploring Operation: 84+79=163, Resulting Numbers: [163] 163,85 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 85:[86, 91], Operations: ['99-92=7', '84+7=91'] Exploring Operation: 86*91=7826, Resulting Numbers: [7826] 7826,85 unequal: No Solution Exploring Operation: 86+91=177, Resulting Numbers: [177] 177,85 unequal: No Solution Exploring Operation: 91-86=5, Resulting Numbers: [5] 5,85 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 85:[84, 93], Operations: ['99-92=7', '86+7=93'] Exploring Operation: 84*93=7812, Resulting Numbers: [7812] 7812,85 unequal: No Solution Exploring Operation: 93-84=9, Resulting Numbers: [9] 9,85 unequal: No Solution Exploring Operation: 84+93=177, Resulting Numbers: [177] 177,85 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 85:[92, 86, 15], Operations: ['99-84=15'] Exploring Operation: 92+15=107, Resulting Numbers: [86, 107] Generated Node #0,2,0: 85:[86, 107] Operation: 92+15=107 Exploring Operation: 86+15=101, Resulting Numbers: [92, 101] Generated Node #0,2,1: 85:[92, 101] Operation: 86+15=101 Exploring Operation: 86-15=71, Resulting Numbers: [92, 71] Generated Node #0,2,2: 85:[92, 71] Operation: 86-15=71 Exploring Operation: 92-86=6, Resulting Numbers: [15, 6] Generated Node #0,2,3: 85:[15, 6] Operation: 92-86=6 Exploring Operation: 92-15=77, Resulting Numbers: [86, 77] Generated Node #0,2,4: 85:[86, 77] Operation: 92-15=77 Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 85:[15, 6], Operations: ['99-84=15', '92-86=6'] Exploring Operation: 15*6=90, Resulting Numbers: [90] 90,85 unequal: No Solution Exploring Operation: 15-6=9, Resulting Numbers: [9] 9,85 unequal: No Solution Exploring Operation: 15+6=21, Resulting Numbers: [21] 21,85 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 85:[86, 77], Operations: ['99-84=15', '92-15=77'] Exploring Operation: 86+77=163, Resulting Numbers: [163] 163,85 unequal: No Solution Exploring Operation: 86-77=9, Resulting Numbers: [9] 9,85 unequal: No Solution Exploring Operation: 86*77=6622, Resulting Numbers: [6622] 6622,85 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 85:[92, 71], Operations: ['99-84=15', '86-15=71'] Exploring Operation: 92+71=163, Resulting Numbers: [163] 163,85 unequal: No Solution Exploring Operation: 92*71=6532, Resulting Numbers: [6532] 6532,85 unequal: No Solution Exploring Operation: 92-71=21, Resulting Numbers: [21] 21,85 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 85:[86, 107], Operations: ['99-84=15', '92+15=107'] Exploring Operation: 107-86=21, Resulting Numbers: [21] 21,85 unequal: No Solution Exploring Operation: 86*107=9202, Resulting Numbers: [9202] 9202,85 unequal: No Solution Exploring Operation: 86+107=193, Resulting Numbers: [193] 193,85 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 85:[92, 101], Operations: ['99-84=15', '86+15=101'] Exploring Operation: 92+101=193, Resulting Numbers: [193] 193,85 unequal: No Solution Exploring Operation: 101-92=9, Resulting Numbers: [9] 9,85 unequal: No Solution Exploring Operation: 92*101=9292, Resulting Numbers: [9292] 9292,85 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 85:[92, 84, 13], Operations: ['99-86=13'] Exploring Operation: 92+13=105, Resulting Numbers: [84, 105] Generated Node #0,3,0: 85:[84, 105] Operation: 92+13=105 Exploring Operation: 92-13=79, Resulting Numbers: [84, 79] Generated Node #0,3,1: 85:[84, 79] Operation: 92-13=79 Exploring Operation: 84-13=71, Resulting Numbers: [92, 71] Generated Node #0,3,2: 85:[92, 71] Operation: 84-13=71 Exploring Operation: 84+13=97, Resulting Numbers: [92, 97] Generated Node #0,3,3: 85:[92, 97] Operation: 84+13=97 Exploring Operation: 92-84=8, Resulting Numbers: [13, 8] Generated Node #0,3,4: 85:[13, 8] Operation: 92-84=8 Moving to Node #0,4 Current State: 85:[99, 84, 6], Operations: ['92-86=6'] Exploring Operation: 84/6=14, Resulting Numbers: [99, 14] Generated Node #0,4,0: 85:[99, 14] Operation: 84/6=14 Exploring Operation: 99+6=105, Resulting Numbers: [84, 105] Generated Node #0,4,1: 85:[84, 105] Operation: 99+6=105 Exploring Operation: 99-6=93, Resulting Numbers: [84, 93] Generated Node #0,4,2: 85:[84, 93] Operation: 99-6=93 Exploring Operation: 99-84=15, Resulting Numbers: [6, 15] Generated Node #0,4,3: 85:[6, 15] Operation: 99-84=15 Exploring Operation: 84+6=90, Resulting Numbers: [99, 90] Generated Node #0,4,4: 85:[99, 90] Operation: 84+6=90 Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 85:[6, 15], Operations: ['92-86=6', '99-84=15'] Exploring Operation: 6+15=21, Resulting Numbers: [21] 21,85 unequal: No Solution Exploring Operation: 6*15=90, Resulting Numbers: [90] 90,85 unequal: No Solution Exploring Operation: 15-6=9, Resulting Numbers: [9] 9,85 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 85:[84, 93], Operations: ['92-86=6', '99-6=93'] Exploring Operation: 84*93=7812, Resulting Numbers: [7812] 7812,85 unequal: No Solution Exploring Operation: 84+93=177, Resulting Numbers: [177] 177,85 unequal: No Solution Exploring Operation: 93-84=9, Resulting Numbers: [9] 9,85 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 85:[99, 14], Operations: ['92-86=6', '84/6=14'] Exploring Operation: 99-14=85, Resulting Numbers: [85] 85,85 equal: Goal Reached Moving to Node #0 Current State: 85:[92, 99, 86, 84], Operations: [] Exploring Operation: 92-86=6, Resulting Numbers: [99, 84, 6] Generated Node #0,4: 85:[99, 84, 6] Operation: 92-86=6 Moving to Node #0,4 Current State: 85:[99, 84, 6], Operations: ['92-86=6'] Exploring Operation: 84/6=14, Resulting Numbers: [99, 14] Generated Node #0,4,0: 85:[99, 14] Operation: 84/6=14 Moving to Node #0,4,0 Current State: 85:[99, 14], Operations: ['92-86=6', '84/6=14'] Exploring Operation: 99-14=85, Resulting Numbers: [85] 85,85 equal: Goal Reached Exit Sub Search at level 1
0.942708
hs_5
mult_heuristic