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
[ 62, 30, 19, 6 ]
33
[ "30*19=570", "570/6=95", "95-62=33" ]
Current State: 33:[62, 30, 19, 6], Operations: [] Exploring Operation: 30*19=570, Resulting Numbers: [62, 6, 570] Generated Node #2: [62, 6, 570] from Operation: 30*19=570 Current State: 33:[62, 6, 570], Operations: ['30*19=570'] Exploring Operation: 570/6=95, Resulting Numbers: [62, 95] Generated Node #3: [62, 95] from Operation: 570/6=95 Current State: 33:[62, 95], Operations: ['30*19=570', '570/6=95'] Exploring Operation: 95-62=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
Current State: 33:[62, 30, 19, 6], Operations: [] Exploring Operation: 62-30=32, Resulting Numbers: [19, 6, 32] Generated Node #0,0: 33:[19, 6, 32] Operation: 62-30=32 Exploring Operation: 62-19=43, Resulting Numbers: [30, 6, 43] Generated Node #0,1: 33:[30, 6, 43] Operation: 62-19=43 Exploring Operation: 30-19=11, Resulting Numbers: [62, 6, 11] Generated Node #0,2: 33:[62, 6, 11] Operation: 30-19=11 Start Sub Search at level 1: Moving to Node #0,0 Current State: 33:[19, 6, 32], Operations: ['62-30=32'] Exploring Operation: 32-19=13, Resulting Numbers: [6, 13] Generated Node #0,0,0: 33:[6, 13] Operation: 32-19=13 Exploring Operation: 19-6=13, Resulting Numbers: [32, 13] Generated Node #0,0,1: 33:[32, 13] Operation: 19-6=13 Exploring Operation: 19+6=25, Resulting Numbers: [32, 25] Generated Node #0,0,2: 33:[32, 25] Operation: 19+6=25 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 33:[32, 13], Operations: ['62-30=32', '19-6=13'] Exploring Operation: 32*13=416, Resulting Numbers: [416] 416,33 unequal: No Solution Exploring Operation: 32+13=45, Resulting Numbers: [45] 45,33 unequal: No Solution Exploring Operation: 32-13=19, Resulting Numbers: [19] 19,33 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: 33:[6, 13], Operations: ['62-30=32', '32-19=13'] Exploring Operation: 13-6=7, Resulting Numbers: [7] 7,33 unequal: No Solution Exploring Operation: 6+13=19, Resulting Numbers: [19] 19,33 unequal: No Solution Exploring Operation: 6*13=78, Resulting Numbers: [78] 78,33 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: 33:[32, 25], Operations: ['62-30=32', '19+6=25'] Exploring Operation: 32+25=57, Resulting Numbers: [57] 57,33 unequal: No Solution Exploring Operation: 32*25=800, Resulting Numbers: [800] 800,33 unequal: No Solution Exploring Operation: 32-25=7, Resulting Numbers: [7] 7,33 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: 33:[30, 6, 43], Operations: ['62-19=43'] Exploring Operation: 30/6=5, Resulting Numbers: [43, 5] Generated Node #0,1,0: 33:[43, 5] Operation: 30/6=5 Exploring Operation: 43-6=37, Resulting Numbers: [30, 37] Generated Node #0,1,1: 33:[30, 37] Operation: 43-6=37 Exploring Operation: 43-30=13, Resulting Numbers: [6, 13] Generated Node #0,1,2: 33:[6, 13] Operation: 43-30=13 Moving to Node #0,1,2 Current State: 33:[6, 13], Operations: ['62-19=43', '43-30=13'] Exploring Operation: 6+13=19, Resulting Numbers: [19] 19,33 unequal: No Solution Exploring Operation: 6*13=78, Resulting Numbers: [78] 78,33 unequal: No Solution Exploring Operation: 13-6=7, Resulting Numbers: [7] 7,33 unequal: No Solution Moving to Node #0,1,1 Current State: 33:[30, 37], Operations: ['62-19=43', '43-6=37'] Exploring Operation: 30+37=67, Resulting Numbers: [67] 67,33 unequal: No Solution Exploring Operation: 37-30=7, Resulting Numbers: [7] 7,33 unequal: No Solution Exploring Operation: 30*37=1110, Resulting Numbers: [1110] 1110,33 unequal: No Solution Moving to Node #0,1,0 Current State: 33:[43, 5], Operations: ['62-19=43', '30/6=5'] Exploring Operation: 43*5=215, Resulting Numbers: [215] 215,33 unequal: No Solution Exploring Operation: 43-5=38, Resulting Numbers: [38] 38,33 unequal: No Solution Exploring Operation: 43+5=48, Resulting Numbers: [48] 48,33 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 Current State: 33:[62, 6, 11], Operations: ['30-19=11'] Exploring Operation: 62-11=51, Resulting Numbers: [6, 51] Generated Node #0,2,0: 33:[6, 51] Operation: 62-11=51 Exploring Operation: 11-6=5, Resulting Numbers: [62, 5] Generated Node #0,2,1: 33:[62, 5] Operation: 11-6=5 Exploring Operation: 62-6=56, Resulting Numbers: [11, 56] Generated Node #0,2,2: 33:[11, 56] Operation: 62-6=56 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 33:[6, 51], Operations: ['30-19=11', '62-11=51'] Exploring Operation: 6+51=57, Resulting Numbers: [57] 57,33 unequal: No Solution Exploring Operation: 51-6=45, Resulting Numbers: [45] 45,33 unequal: No Solution Exploring Operation: 6*51=306, Resulting Numbers: [306] 306,33 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: 33:[11, 56], Operations: ['30-19=11', '62-6=56'] Exploring Operation: 11*56=616, Resulting Numbers: [616] 616,33 unequal: No Solution Exploring Operation: 11+56=67, Resulting Numbers: [67] 67,33 unequal: No Solution Exploring Operation: 56-11=45, Resulting Numbers: [45] 45,33 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: 33:[62, 5], Operations: ['30-19=11', '11-6=5'] Exploring Operation: 62*5=310, Resulting Numbers: [310] 310,33 unequal: No Solution Exploring Operation: 62-5=57, Resulting Numbers: [57] 57,33 unequal: No Solution Exploring Operation: 62+5=67, Resulting Numbers: [67] 67,33 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
[ 44, 3, 73, 13 ]
12
[ "44+73=117", "117/13=9", "3+9=12" ]
Current State: 12:[44, 3, 73, 13], Operations: [] Exploring Operation: 44+73=117, Resulting Numbers: [3, 13, 117] Generated Node #2: [3, 13, 117] from Operation: 44+73=117 Current State: 12:[3, 13, 117], Operations: ['44+73=117'] Exploring Operation: 117/13=9, Resulting Numbers: [3, 9] Generated Node #3: [3, 9] from Operation: 117/13=9 Current State: 12:[3, 9], Operations: ['44+73=117', '117/13=9'] Exploring Operation: 3+9=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
Current State: 12:[44, 3, 73, 13], Operations: [] Exploring Operation: 73-44=29, Resulting Numbers: [3, 13, 29] Generated Node #0,0: 12:[3, 13, 29] Operation: 73-44=29 Moving to Node #0,0 Current State: 12:[3, 13, 29], Operations: ['73-44=29'] Exploring Operation: 29-13=16, Resulting Numbers: [3, 16] Generated Node #0,0,0: 12:[3, 16] Operation: 29-13=16 Moving to Node #0,0,0 Current State: 12:[3, 16], Operations: ['73-44=29', '29-13=16'] Exploring Operation: 16-3=13, Resulting Numbers: [13] 13,12 unequal: No Solution No solution found.
0
hs_1
sum_heuristic
[ 22, 44, 4, 76 ]
32
[ "22*4=88", "44+76=120", "120-88=32" ]
Current State: 32:[22, 44, 4, 76], Operations: [] Exploring Operation: 22*4=88, Resulting Numbers: [44, 76, 88] Generated Node #2: [44, 76, 88] from Operation: 22*4=88 Current State: 32:[44, 76, 88], Operations: ['22*4=88'] Exploring Operation: 44+76=120, Resulting Numbers: [88, 120] Generated Node #3: [88, 120] from Operation: 44+76=120 Current State: 32:[88, 120], Operations: ['22*4=88', '44+76=120'] Exploring Operation: 120-88=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
Current State: 32:[22, 44, 4, 76], Operations: [] Exploring Operation: 44/22=2, Resulting Numbers: [4, 76, 2] Generated Node #0,0: 32:[4, 76, 2] Operation: 44/22=2 Exploring Operation: 76/4=19, Resulting Numbers: [22, 44, 19] Generated Node #0,1: 32:[22, 44, 19] Operation: 76/4=19 Exploring Operation: 76-44=32, Resulting Numbers: [22, 4, 32] Generated Node #0,2: 32:[22, 4, 32] Operation: 76-44=32 Exploring Operation: 76-22=54, Resulting Numbers: [44, 4, 54] Generated Node #0,3: 32:[44, 4, 54] Operation: 76-22=54 Moving to Node #0,2 Current State: 32:[22, 4, 32], Operations: ['76-44=32'] Exploring Operation: 32-22=10, Resulting Numbers: [4, 10] Generated Node #0,2,0: 32:[4, 10] Operation: 32-22=10 Exploring Operation: 22+4=26, Resulting Numbers: [32, 26] Generated Node #0,2,1: 32:[32, 26] Operation: 22+4=26 Exploring Operation: 22-4=18, Resulting Numbers: [32, 18] Generated Node #0,2,2: 32:[32, 18] Operation: 22-4=18 Exploring Operation: 32/4=8, Resulting Numbers: [22, 8] Generated Node #0,2,3: 32:[22, 8] Operation: 32/4=8 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 32:[4, 10], Operations: ['76-44=32', '32-22=10'] Exploring Operation: 10-4=6, Resulting Numbers: [6] 6,32 unequal: No Solution Exploring Operation: 4*10=40, Resulting Numbers: [40] 40,32 unequal: No Solution Exploring Operation: 4+10=14, Resulting Numbers: [14] 14,32 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: 32:[32, 18], Operations: ['76-44=32', '22-4=18'] Exploring Operation: 32+18=50, Resulting Numbers: [50] 50,32 unequal: No Solution Exploring Operation: 32-18=14, Resulting Numbers: [14] 14,32 unequal: No Solution Exploring Operation: 32*18=576, Resulting Numbers: [576] 576,32 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: 32:[32, 26], Operations: ['76-44=32', '22+4=26'] Exploring Operation: 32-26=6, Resulting Numbers: [6] 6,32 unequal: No Solution Exploring Operation: 32*26=832, Resulting Numbers: [832] 832,32 unequal: No Solution Exploring Operation: 32+26=58, Resulting Numbers: [58] 58,32 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: 32:[22, 8], Operations: ['76-44=32', '32/4=8'] Exploring Operation: 22+8=30, Resulting Numbers: [30] 30,32 unequal: No Solution Exploring Operation: 22-8=14, Resulting Numbers: [14] 14,32 unequal: No Solution Exploring Operation: 22*8=176, Resulting Numbers: [176] 176,32 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: 32:[22, 44, 19], Operations: ['76/4=19'] Exploring Operation: 44-19=25, Resulting Numbers: [22, 25] Generated Node #0,1,0: 32:[22, 25] Operation: 44-19=25 Exploring Operation: 22-19=3, Resulting Numbers: [44, 3] Generated Node #0,1,1: 32:[44, 3] Operation: 22-19=3 Exploring Operation: 44/22=2, Resulting Numbers: [19, 2] Generated Node #0,1,2: 32:[19, 2] Operation: 44/22=2 Exploring Operation: 44-22=22, Resulting Numbers: [19, 22] Generated Node #0,1,3: 32:[19, 22] Operation: 44-22=22 Moving to Node #0,3 Current State: 32:[44, 4, 54], Operations: ['76-22=54'] Exploring Operation: 54-44=10, Resulting Numbers: [4, 10] Generated Node #0,3,0: 32:[4, 10] Operation: 54-44=10 Exploring Operation: 44/4=11, Resulting Numbers: [54, 11] Generated Node #0,3,1: 32:[54, 11] Operation: 44/4=11 Exploring Operation: 54-4=50, Resulting Numbers: [44, 50] Generated Node #0,3,2: 32:[44, 50] Operation: 54-4=50 Exploring Operation: 44-4=40, Resulting Numbers: [54, 40] Generated Node #0,3,3: 32:[54, 40] Operation: 44-4=40 Moving to Node #0,0 Current State: 32:[4, 76, 2], Operations: ['44/22=2'] Exploring Operation: 76/4=19, Resulting Numbers: [2, 19] Generated Node #0,0,0: 32:[2, 19] Operation: 76/4=19 Exploring Operation: 76-4=72, Resulting Numbers: [2, 72] Generated Node #0,0,1: 32:[2, 72] Operation: 76-4=72 Exploring Operation: 76/2=38, Resulting Numbers: [4, 38] Generated Node #0,0,2: 32:[4, 38] Operation: 76/2=38 Exploring Operation: 76-2=74, Resulting Numbers: [4, 74] Generated Node #0,0,3: 32:[4, 74] Operation: 76-2=74 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 32:[2, 19], Operations: ['44/22=2', '76/4=19'] Exploring Operation: 2+19=21, Resulting Numbers: [21] 21,32 unequal: No Solution Exploring Operation: 19-2=17, Resulting Numbers: [17] 17,32 unequal: No Solution Exploring Operation: 2*19=38, Resulting Numbers: [38] 38,32 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: 32:[4, 38], Operations: ['44/22=2', '76/2=38'] Exploring Operation: 38-4=34, Resulting Numbers: [34] 34,32 unequal: No Solution Exploring Operation: 4+38=42, Resulting Numbers: [42] 42,32 unequal: No Solution Exploring Operation: 4*38=152, Resulting Numbers: [152] 152,32 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: 32:[2, 72], Operations: ['44/22=2', '76-4=72'] Exploring Operation: 2+72=74, Resulting Numbers: [74] 74,32 unequal: No Solution Exploring Operation: 2*72=144, Resulting Numbers: [144] 144,32 unequal: No Solution Exploring Operation: 72/2=36, Resulting Numbers: [36] 36,32 unequal: No Solution Exploring Operation: 72-2=70, Resulting Numbers: [70] 70,32 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: 32:[4, 74], Operations: ['44/22=2', '76-2=74'] Exploring Operation: 74-4=70, Resulting Numbers: [70] 70,32 unequal: No Solution Exploring Operation: 4+74=78, Resulting Numbers: [78] 78,32 unequal: No Solution Exploring Operation: 4*74=296, Resulting Numbers: [296] 296,32 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3,0 Current State: 32:[4, 10], Operations: ['76-22=54', '54-44=10'] Exploring Operation: 4*10=40, Resulting Numbers: [40] 40,32 unequal: No Solution Exploring Operation: 10-4=6, Resulting Numbers: [6] 6,32 unequal: No Solution Exploring Operation: 4+10=14, Resulting Numbers: [14] 14,32 unequal: No Solution Moving to Node #0,1,2 Current State: 32:[19, 2], Operations: ['76/4=19', '44/22=2'] Exploring Operation: 19-2=17, Resulting Numbers: [17] 17,32 unequal: No Solution Exploring Operation: 19+2=21, Resulting Numbers: [21] 21,32 unequal: No Solution Exploring Operation: 19*2=38, Resulting Numbers: [38] 38,32 unequal: No Solution Moving to Node #0,1,3 Current State: 32:[19, 22], Operations: ['76/4=19', '44-22=22'] Exploring Operation: 19*22=418, Resulting Numbers: [418] 418,32 unequal: No Solution Exploring Operation: 22-19=3, Resulting Numbers: [3] 3,32 unequal: No Solution Exploring Operation: 19+22=41, Resulting Numbers: [41] 41,32 unequal: No Solution Moving to Node #0,1,0 Current State: 32:[22, 25], Operations: ['76/4=19', '44-19=25'] Exploring Operation: 25-22=3, Resulting Numbers: [3] 3,32 unequal: No Solution Exploring Operation: 22*25=550, Resulting Numbers: [550] 550,32 unequal: No Solution Exploring Operation: 22+25=47, Resulting Numbers: [47] 47,32 unequal: No Solution Moving to Node #0,1,1 Current State: 32:[44, 3], Operations: ['76/4=19', '22-19=3'] Exploring Operation: 44*3=132, Resulting Numbers: [132] 132,32 unequal: No Solution Exploring Operation: 44+3=47, Resulting Numbers: [47] 47,32 unequal: No Solution Exploring Operation: 44-3=41, Resulting Numbers: [41] 41,32 unequal: No Solution Moving to Node #0,3,1 Current State: 32:[54, 11], Operations: ['76-22=54', '44/4=11'] Exploring Operation: 54*11=594, Resulting Numbers: [594] 594,32 unequal: No Solution Exploring Operation: 54+11=65, Resulting Numbers: [65] 65,32 unequal: No Solution Exploring Operation: 54-11=43, Resulting Numbers: [43] 43,32 unequal: No Solution Moving to Node #0,3,2 Current State: 32:[44, 50], Operations: ['76-22=54', '54-4=50'] Exploring Operation: 44+50=94, Resulting Numbers: [94] 94,32 unequal: No Solution Exploring Operation: 44*50=2200, Resulting Numbers: [2200] 2200,32 unequal: No Solution Exploring Operation: 50-44=6, Resulting Numbers: [6] 6,32 unequal: No Solution Moving to Node #0,3,3 Current State: 32:[54, 40], Operations: ['76-22=54', '44-4=40'] Exploring Operation: 54*40=2160, Resulting Numbers: [2160] 2160,32 unequal: No Solution Exploring Operation: 54-40=14, Resulting Numbers: [14] 14,32 unequal: No Solution Exploring Operation: 54+40=94, Resulting Numbers: [94] 94,32 unequal: No Solution No solution found.
0
hs_4
sum_heuristic
[ 2, 2, 94, 45 ]
91
[ "94-2=92", "92/2=46", "45+46=91" ]
Current State: 91:[2, 2, 94, 45], Operations: [] Exploring Operation: 94-2=92, Resulting Numbers: [45, 92] Generated Node #2: [45, 92] from Operation: 94-2=92 Current State: 91:[45, 92], Operations: ['94-2=92'] Exploring Operation: 92/2=46, Resulting Numbers: [45, 46] Generated Node #3: [45, 46] from Operation: 92/2=46 Current State: 91:[45, 46], Operations: ['94-2=92', '92/2=46'] Exploring Operation: 45+46=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
Current State: 91:[2, 2, 94, 45], Operations: [] Exploring Operation: 2*45=90, Resulting Numbers: [2, 94, 90] Generated Node #0,0: 91:[2, 94, 90] Operation: 2*45=90 Exploring Operation: 2+2=4, Resulting Numbers: [94, 45, 4] Generated Node #0,1: 91:[94, 45, 4] Operation: 2+2=4 Exploring Operation: 2*2=4, Resulting Numbers: [94, 45, 4] Generated Node #0,2: 91:[94, 45, 4] Operation: 2*2=4 Exploring Operation: 2*45=90, Resulting Numbers: [2, 94, 90] Generated Node #0,3: 91:[2, 94, 90] Operation: 2*45=90 Start Sub Search at level 1: Moving to Node #0,0 Current State: 91:[2, 94, 90], Operations: ['2*45=90'] Exploring Operation: 2+94=96, Resulting Numbers: [90, 96] Generated Node #0,0,0: 91:[90, 96] Operation: 2+94=96 Exploring Operation: 90-2=88, Resulting Numbers: [94, 88] Generated Node #0,0,1: 91:[94, 88] Operation: 90-2=88 Exploring Operation: 2+90=92, Resulting Numbers: [94, 92] Generated Node #0,0,2: 91:[94, 92] Operation: 2+90=92 Exploring Operation: 94-2=92, Resulting Numbers: [90, 92] Generated Node #0,0,3: 91:[90, 92] Operation: 94-2=92 Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 91:[90, 92], Operations: ['2*45=90', '94-2=92'] Exploring Operation: 90+92=182, Resulting Numbers: [182] 182,91 unequal: No Solution Exploring Operation: 90*92=8280, Resulting Numbers: [8280] 8280,91 unequal: No Solution Exploring Operation: 92-90=2, Resulting Numbers: [2] 2,91 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: 91:[94, 92], Operations: ['2*45=90', '2+90=92'] Exploring Operation: 94-92=2, Resulting Numbers: [2] 2,91 unequal: No Solution Exploring Operation: 94*92=8648, Resulting Numbers: [8648] 8648,91 unequal: No Solution Exploring Operation: 94+92=186, Resulting Numbers: [186] 186,91 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: 91:[90, 96], Operations: ['2*45=90', '2+94=96'] Exploring Operation: 96-90=6, Resulting Numbers: [6] 6,91 unequal: No Solution Exploring Operation: 90*96=8640, Resulting Numbers: [8640] 8640,91 unequal: No Solution Exploring Operation: 90+96=186, Resulting Numbers: [186] 186,91 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: 91:[94, 88], Operations: ['2*45=90', '90-2=88'] Exploring Operation: 94+88=182, Resulting Numbers: [182] 182,91 unequal: No Solution Exploring Operation: 94-88=6, Resulting Numbers: [6] 6,91 unequal: No Solution Exploring Operation: 94*88=8272, Resulting Numbers: [8272] 8272,91 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: 91:[2, 94, 90], Operations: ['2*45=90'] Exploring Operation: 2+90=92, Resulting Numbers: [94, 92] Generated Node #0,3,0: 91:[94, 92] Operation: 2+90=92 Exploring Operation: 94-2=92, Resulting Numbers: [90, 92] Generated Node #0,3,1: 91:[90, 92] Operation: 94-2=92 Exploring Operation: 90-2=88, Resulting Numbers: [94, 88] Generated Node #0,3,2: 91:[94, 88] Operation: 90-2=88 Exploring Operation: 2+94=96, Resulting Numbers: [90, 96] Generated Node #0,3,3: 91:[90, 96] Operation: 2+94=96 Moving to Node #0,3,1 Current State: 91:[90, 92], Operations: ['2*45=90', '94-2=92'] Exploring Operation: 90*92=8280, Resulting Numbers: [8280] 8280,91 unequal: No Solution Exploring Operation: 92-90=2, Resulting Numbers: [2] 2,91 unequal: No Solution Exploring Operation: 90+92=182, Resulting Numbers: [182] 182,91 unequal: No Solution Moving to Node #0,3,0 Current State: 91:[94, 92], Operations: ['2*45=90', '2+90=92'] Exploring Operation: 94+92=186, Resulting Numbers: [186] 186,91 unequal: No Solution Exploring Operation: 94-92=2, Resulting Numbers: [2] 2,91 unequal: No Solution Exploring Operation: 94*92=8648, Resulting Numbers: [8648] 8648,91 unequal: No Solution Moving to Node #0,3,3 Current State: 91:[90, 96], Operations: ['2*45=90', '2+94=96'] Exploring Operation: 96-90=6, Resulting Numbers: [6] 6,91 unequal: No Solution Exploring Operation: 90*96=8640, Resulting Numbers: [8640] 8640,91 unequal: No Solution Exploring Operation: 90+96=186, Resulting Numbers: [186] 186,91 unequal: No Solution Moving to Node #0,3,2 Current State: 91:[94, 88], Operations: ['2*45=90', '90-2=88'] Exploring Operation: 94+88=182, Resulting Numbers: [182] 182,91 unequal: No Solution Exploring Operation: 94-88=6, Resulting Numbers: [6] 6,91 unequal: No Solution Exploring Operation: 94*88=8272, Resulting Numbers: [8272] 8272,91 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: 91:[94, 45, 4], Operations: ['2+2=4'] Exploring Operation: 94-45=49, Resulting Numbers: [4, 49] Generated Node #0,1,0: 91:[4, 49] Operation: 94-45=49 Exploring Operation: 45-4=41, Resulting Numbers: [94, 41] Generated Node #0,1,1: 91:[94, 41] Operation: 45-4=41 Exploring Operation: 94-4=90, Resulting Numbers: [45, 90] Generated Node #0,1,2: 91:[45, 90] Operation: 94-4=90 Exploring Operation: 94+4=98, Resulting Numbers: [45, 98] Generated Node #0,1,3: 91:[45, 98] Operation: 94+4=98 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 91:[94, 41], Operations: ['2+2=4', '45-4=41'] Exploring Operation: 94*41=3854, Resulting Numbers: [3854] 3854,91 unequal: No Solution Exploring Operation: 94-41=53, Resulting Numbers: [53] 53,91 unequal: No Solution Exploring Operation: 94+41=135, Resulting Numbers: [135] 135,91 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: 91:[45, 90], Operations: ['2+2=4', '94-4=90'] Exploring Operation: 45*90=4050, Resulting Numbers: [4050] 4050,91 unequal: No Solution Exploring Operation: 90/45=2, Resulting Numbers: [2] 2,91 unequal: No Solution Exploring Operation: 90-45=45, Resulting Numbers: [45] 45,91 unequal: No Solution Exploring Operation: 45+90=135, Resulting Numbers: [135] 135,91 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: 91:[4, 49], Operations: ['2+2=4', '94-45=49'] Exploring Operation: 49-4=45, Resulting Numbers: [45] 45,91 unequal: No Solution Exploring Operation: 4*49=196, Resulting Numbers: [196] 196,91 unequal: No Solution Exploring Operation: 4+49=53, Resulting Numbers: [53] 53,91 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: 91:[45, 98], Operations: ['2+2=4', '94+4=98'] Exploring Operation: 45*98=4410, Resulting Numbers: [4410] 4410,91 unequal: No Solution Exploring Operation: 98-45=53, Resulting Numbers: [53] 53,91 unequal: No Solution Exploring Operation: 45+98=143, Resulting Numbers: [143] 143,91 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: 91:[94, 45, 4], Operations: ['2*2=4'] Exploring Operation: 94+4=98, Resulting Numbers: [45, 98] Generated Node #0,2,0: 91:[45, 98] Operation: 94+4=98 Exploring Operation: 94-4=90, Resulting Numbers: [45, 90] Generated Node #0,2,1: 91:[45, 90] Operation: 94-4=90 Exploring Operation: 45-4=41, Resulting Numbers: [94, 41] Generated Node #0,2,2: 91:[94, 41] Operation: 45-4=41 Exploring Operation: 94-45=49, Resulting Numbers: [4, 49] Generated Node #0,2,3: 91:[4, 49] Operation: 94-45=49 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 91:[94, 41], Operations: ['2*2=4', '45-4=41'] Exploring Operation: 94*41=3854, Resulting Numbers: [3854] 3854,91 unequal: No Solution Exploring Operation: 94+41=135, Resulting Numbers: [135] 135,91 unequal: No Solution Exploring Operation: 94-41=53, Resulting Numbers: [53] 53,91 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: 91:[45, 90], Operations: ['2*2=4', '94-4=90'] Exploring Operation: 45*90=4050, Resulting Numbers: [4050] 4050,91 unequal: No Solution Exploring Operation: 90-45=45, Resulting Numbers: [45] 45,91 unequal: No Solution Exploring Operation: 90/45=2, Resulting Numbers: [2] 2,91 unequal: No Solution Exploring Operation: 45+90=135, Resulting Numbers: [135] 135,91 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: 91:[45, 98], Operations: ['2*2=4', '94+4=98'] Exploring Operation: 98-45=53, Resulting Numbers: [53] 53,91 unequal: No Solution Exploring Operation: 45*98=4410, Resulting Numbers: [4410] 4410,91 unequal: No Solution Exploring Operation: 45+98=143, Resulting Numbers: [143] 143,91 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: 91:[4, 49], Operations: ['2*2=4', '94-45=49'] Exploring Operation: 49-4=45, Resulting Numbers: [45] 45,91 unequal: No Solution Exploring Operation: 4*49=196, Resulting Numbers: [196] 196,91 unequal: No Solution Exploring Operation: 4+49=53, Resulting Numbers: [53] 53,91 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
[ 61, 93, 62, 3 ]
30
[ "62-61=1", "93/3=31", "31-1=30" ]
Current State: 30:[61, 93, 62, 3], Operations: [] Exploring Operation: 62-61=1, Resulting Numbers: [93, 3, 1] Generated Node #2: [93, 3, 1] from Operation: 62-61=1 Current State: 30:[93, 3, 1], Operations: ['62-61=1'] Exploring Operation: 93/3=31, Resulting Numbers: [1, 31] Generated Node #3: [1, 31] from Operation: 93/3=31 Current State: 30:[1, 31], Operations: ['62-61=1', '93/3=31'] Exploring Operation: 31-1=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
Current State: 30:[61, 93, 62, 3], Operations: [] Exploring Operation: 62-61=1, Resulting Numbers: [93, 3, 1] Generated Node #0,0: 30:[93, 3, 1] Operation: 62-61=1 Exploring Operation: 93-62=31, Resulting Numbers: [61, 3, 31] Generated Node #0,1: 30:[61, 3, 31] Operation: 93-62=31 Exploring Operation: 93-61=32, Resulting Numbers: [62, 3, 32] Generated Node #0,2: 30:[62, 3, 32] Operation: 93-61=32 Moving to Node #0,1 Current State: 30:[61, 3, 31], Operations: ['93-62=31'] Exploring Operation: 61-3=58, Resulting Numbers: [31, 58] Generated Node #0,1,0: 30:[31, 58] Operation: 61-3=58 Exploring Operation: 61-31=30, Resulting Numbers: [3, 30] Generated Node #0,1,1: 30:[3, 30] Operation: 61-31=30 Exploring Operation: 31-3=28, Resulting Numbers: [61, 28] Generated Node #0,1,2: 30:[61, 28] Operation: 31-3=28 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 30:[3, 30], Operations: ['93-62=31', '61-31=30'] Exploring Operation: 30/3=10, Resulting Numbers: [10] 10,30 unequal: No Solution Exploring Operation: 30-3=27, Resulting Numbers: [27] 27,30 unequal: No Solution Exploring Operation: 3+30=33, Resulting Numbers: [33] 33,30 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:[31, 58], Operations: ['93-62=31', '61-3=58'] Exploring Operation: 58-31=27, Resulting Numbers: [27] 27,30 unequal: No Solution Exploring Operation: 31+58=89, Resulting Numbers: [89] 89,30 unequal: No Solution Exploring Operation: 31*58=1798, Resulting Numbers: [1798] 1798,30 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 #0,1,2 Current State: 30:[61, 28], Operations: ['93-62=31', '31-3=28'] Exploring Operation: 61-28=33, Resulting Numbers: [33] 33,30 unequal: No Solution Exploring Operation: 61*28=1708, Resulting Numbers: [1708] 1708,30 unequal: No Solution Exploring Operation: 61+28=89, Resulting Numbers: [89] 89,30 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: 30:[62, 3, 32], Operations: ['93-61=32'] Exploring Operation: 32-3=29, Resulting Numbers: [62, 29] Generated Node #0,2,0: 30:[62, 29] Operation: 32-3=29 Exploring Operation: 62-32=30, Resulting Numbers: [3, 30] Generated Node #0,2,1: 30:[3, 30] Operation: 62-32=30 Exploring Operation: 62-3=59, Resulting Numbers: [32, 59] Generated Node #0,2,2: 30:[32, 59] Operation: 62-3=59 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 30:[3, 30], Operations: ['93-61=32', '62-32=30'] Exploring Operation: 3+30=33, Resulting Numbers: [33] 33,30 unequal: No Solution Exploring Operation: 30-3=27, Resulting Numbers: [27] 27,30 unequal: No Solution Exploring Operation: 30/3=10, Resulting Numbers: [10] 10,30 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 #0,2,2 Current State: 30:[32, 59], Operations: ['93-61=32', '62-3=59'] Exploring Operation: 32*59=1888, Resulting Numbers: [1888] 1888,30 unequal: No Solution Exploring Operation: 59-32=27, Resulting Numbers: [27] 27,30 unequal: No Solution Exploring Operation: 32+59=91, Resulting Numbers: [91] 91,30 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 #0,2,0 Current State: 30:[62, 29], Operations: ['93-61=32', '32-3=29'] Exploring Operation: 62*29=1798, Resulting Numbers: [1798] 1798,30 unequal: No Solution Exploring Operation: 62+29=91, Resulting Numbers: [91] 91,30 unequal: No Solution Exploring Operation: 62-29=33, Resulting Numbers: [33] 33,30 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: 30:[93, 3, 1], Operations: ['62-61=1'] Exploring Operation: 93/3=31, Resulting Numbers: [1, 31] Generated Node #0,0,0: 30:[1, 31] Operation: 93/3=31 Exploring Operation: 93-3=90, Resulting Numbers: [1, 90] Generated Node #0,0,1: 30:[1, 90] Operation: 93-3=90 Exploring Operation: 93-1=92, Resulting Numbers: [3, 92] Generated Node #0,0,2: 30:[3, 92] Operation: 93-1=92 Moving to Node #0,0,0 Current State: 30:[1, 31], Operations: ['62-61=1', '93/3=31'] Exploring Operation: 31/1=31, Resulting Numbers: [31] 31,30 unequal: No Solution Exploring Operation: 31-1=30, Resulting Numbers: [30] 30,30 equal: Goal Reached Moving to Node #0 Current State: 30:[61, 93, 62, 3], Operations: [] Exploring Operation: 62-61=1, Resulting Numbers: [93, 3, 1] Generated Node #0,0: 30:[93, 3, 1] Operation: 62-61=1 Moving to Node #0,0 Current State: 30:[93, 3, 1], Operations: ['62-61=1'] Exploring Operation: 93/3=31, Resulting Numbers: [1, 31] Generated Node #0,0,0: 30:[1, 31] Operation: 93/3=31 Moving to Node #0,0,0 Current State: 30:[1, 31], Operations: ['62-61=1', '93/3=31'] Exploring Operation: 31-1=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
0.96875
hs_3
mult_heuristic
[ 24, 6, 9, 43 ]
51
[ "9-6=3", "24/3=8", "43+8=51" ]
Current State: 51:[24, 6, 9, 43], Operations: [] Exploring Operation: 9-6=3, Resulting Numbers: [24, 43, 3] Generated Node #2: [24, 43, 3] from Operation: 9-6=3 Current State: 51:[24, 43, 3], Operations: ['9-6=3'] Exploring Operation: 24/3=8, Resulting Numbers: [43, 8] Generated Node #3: [43, 8] from Operation: 24/3=8 Current State: 51:[43, 8], Operations: ['9-6=3', '24/3=8'] Exploring Operation: 43+8=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
Current State: 51:[24, 6, 9, 43], Operations: [] Exploring Operation: 24-9=15, Resulting Numbers: [6, 43, 15] Generated Node #0,0: 51:[6, 43, 15] Operation: 24-9=15 Exploring Operation: 43-24=19, Resulting Numbers: [6, 9, 19] Generated Node #0,1: 51:[6, 9, 19] Operation: 43-24=19 Exploring Operation: 9+43=52, Resulting Numbers: [24, 6, 52] Generated Node #0,2: 51:[24, 6, 52] Operation: 9+43=52 Exploring Operation: 24-6=18, Resulting Numbers: [9, 43, 18] Generated Node #0,3: 51:[9, 43, 18] Operation: 24-6=18 Exploring Operation: 24/6=4, Resulting Numbers: [9, 43, 4] Generated Node #0,4: 51:[9, 43, 4] Operation: 24/6=4 Start Sub Search at level 1: Moving to Node #0,1 Current State: 51:[6, 9, 19], Operations: ['43-24=19'] Exploring Operation: 6+9=15, Resulting Numbers: [19, 15] Generated Node #0,1,0: 51:[19, 15] Operation: 6+9=15 Exploring Operation: 19-9=10, Resulting Numbers: [6, 10] Generated Node #0,1,1: 51:[6, 10] Operation: 19-9=10 Exploring Operation: 9-6=3, Resulting Numbers: [19, 3] Generated Node #0,1,2: 51:[19, 3] Operation: 9-6=3 Exploring Operation: 6*9=54, Resulting Numbers: [19, 54] Generated Node #0,1,3: 51:[19, 54] Operation: 6*9=54 Exploring Operation: 19-6=13, Resulting Numbers: [9, 13] Generated Node #0,1,4: 51:[9, 13] Operation: 19-6=13 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 51:[19, 3], Operations: ['43-24=19', '9-6=3'] Exploring Operation: 19+3=22, Resulting Numbers: [22] 22,51 unequal: No Solution Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,51 unequal: No Solution Exploring Operation: 19-3=16, Resulting Numbers: [16] 16,51 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 #0,1,0 Current State: 51:[19, 15], Operations: ['43-24=19', '6+9=15'] Exploring Operation: 19+15=34, Resulting Numbers: [34] 34,51 unequal: No Solution Exploring Operation: 19-15=4, Resulting Numbers: [4] 4,51 unequal: No Solution Exploring Operation: 19*15=285, Resulting Numbers: [285] 285,51 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 #0,1,3 Current State: 51:[19, 54], Operations: ['43-24=19', '6*9=54'] Exploring Operation: 19*54=1026, Resulting Numbers: [1026] 1026,51 unequal: No Solution Exploring Operation: 19+54=73, Resulting Numbers: [73] 73,51 unequal: No Solution Exploring Operation: 54-19=35, Resulting Numbers: [35] 35,51 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 #0,1,1 Current State: 51:[6, 10], Operations: ['43-24=19', '19-9=10'] Exploring Operation: 6+10=16, Resulting Numbers: [16] 16,51 unequal: No Solution Exploring Operation: 10-6=4, Resulting Numbers: [4] 4,51 unequal: No Solution Exploring Operation: 6*10=60, Resulting Numbers: [60] 60,51 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 #0,1,4 Current State: 51:[9, 13], Operations: ['43-24=19', '19-6=13'] Exploring Operation: 9+13=22, Resulting Numbers: [22] 22,51 unequal: No Solution Exploring Operation: 9*13=117, Resulting Numbers: [117] 117,51 unequal: No Solution Exploring Operation: 13-9=4, Resulting Numbers: [4] 4,51 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 #0,2 Current State: 51:[24, 6, 52], Operations: ['9+43=52'] Exploring Operation: 24+6=30, Resulting Numbers: [52, 30] Generated Node #0,2,0: 51:[52, 30] Operation: 24+6=30 Exploring Operation: 52-6=46, Resulting Numbers: [24, 46] Generated Node #0,2,1: 51:[24, 46] Operation: 52-6=46 Exploring Operation: 24/6=4, Resulting Numbers: [52, 4] Generated Node #0,2,2: 51:[52, 4] Operation: 24/6=4 Exploring Operation: 52-24=28, Resulting Numbers: [6, 28] Generated Node #0,2,3: 51:[6, 28] Operation: 52-24=28 Exploring Operation: 24-6=18, Resulting Numbers: [52, 18] Generated Node #0,2,4: 51:[52, 18] Operation: 24-6=18 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 51:[52, 4], Operations: ['9+43=52', '24/6=4'] Exploring Operation: 52/4=13, Resulting Numbers: [13] 13,51 unequal: No Solution Exploring Operation: 52-4=48, Resulting Numbers: [48] 48,51 unequal: No Solution Exploring Operation: 52+4=56, Resulting Numbers: [56] 56,51 unequal: No Solution Exploring Operation: 52*4=208, Resulting Numbers: [208] 208,51 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 #0,2,4 Current State: 51:[52, 18], Operations: ['9+43=52', '24-6=18'] Exploring Operation: 52+18=70, Resulting Numbers: [70] 70,51 unequal: No Solution Exploring Operation: 52-18=34, Resulting Numbers: [34] 34,51 unequal: No Solution Exploring Operation: 52*18=936, Resulting Numbers: [936] 936,51 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 #0,2,1 Current State: 51:[24, 46], Operations: ['9+43=52', '52-6=46'] Exploring Operation: 46-24=22, Resulting Numbers: [22] 22,51 unequal: No Solution Exploring Operation: 24+46=70, Resulting Numbers: [70] 70,51 unequal: No Solution Exploring Operation: 24*46=1104, Resulting Numbers: [1104] 1104,51 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:[52, 30], Operations: ['9+43=52', '24+6=30'] Exploring Operation: 52-30=22, Resulting Numbers: [22] 22,51 unequal: No Solution Exploring Operation: 52*30=1560, Resulting Numbers: [1560] 1560,51 unequal: No Solution Exploring Operation: 52+30=82, Resulting Numbers: [82] 82,51 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:[6, 28], Operations: ['9+43=52', '52-24=28'] Exploring Operation: 28-6=22, Resulting Numbers: [22] 22,51 unequal: No Solution Exploring Operation: 6+28=34, Resulting Numbers: [34] 34,51 unequal: No Solution Exploring Operation: 6*28=168, Resulting Numbers: [168] 168,51 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:[6, 43, 15], Operations: ['24-9=15'] Exploring Operation: 43+15=58, Resulting Numbers: [6, 58] Generated Node #0,0,0: 51:[6, 58] Operation: 43+15=58 Exploring Operation: 6+15=21, Resulting Numbers: [43, 21] Generated Node #0,0,1: 51:[43, 21] Operation: 6+15=21 Exploring Operation: 15-6=9, Resulting Numbers: [43, 9] Generated Node #0,0,2: 51:[43, 9] Operation: 15-6=9 Exploring Operation: 6+43=49, Resulting Numbers: [15, 49] Generated Node #0,0,3: 51:[15, 49] Operation: 6+43=49 Exploring Operation: 43-15=28, Resulting Numbers: [6, 28] Generated Node #0,0,4: 51:[6, 28] Operation: 43-15=28 Moving to Node #0,0,3 Current State: 51:[15, 49], Operations: ['24-9=15', '6+43=49'] Exploring Operation: 15*49=735, Resulting Numbers: [735] 735,51 unequal: No Solution Exploring Operation: 49-15=34, Resulting Numbers: [34] 34,51 unequal: No Solution Exploring Operation: 15+49=64, Resulting Numbers: [64] 64,51 unequal: No Solution Moving to Node #0,0,0 Current State: 51:[6, 58], Operations: ['24-9=15', '43+15=58'] Exploring Operation: 58-6=52, Resulting Numbers: [52] 52,51 unequal: No Solution Exploring Operation: 6+58=64, Resulting Numbers: [64] 64,51 unequal: No Solution Exploring Operation: 6*58=348, Resulting Numbers: [348] 348,51 unequal: No Solution Moving to Node #0,0,1 Current State: 51:[43, 21], Operations: ['24-9=15', '6+15=21'] Exploring Operation: 43+21=64, Resulting Numbers: [64] 64,51 unequal: No Solution Exploring Operation: 43*21=903, Resulting Numbers: [903] 903,51 unequal: No Solution Exploring Operation: 43-21=22, Resulting Numbers: [22] 22,51 unequal: No Solution Moving to Node #0,0,2 Current State: 51:[43, 9], Operations: ['24-9=15', '15-6=9'] Exploring Operation: 43*9=387, Resulting Numbers: [387] 387,51 unequal: No Solution Exploring Operation: 43+9=52, Resulting Numbers: [52] 52,51 unequal: No Solution Exploring Operation: 43-9=34, Resulting Numbers: [34] 34,51 unequal: No Solution Moving to Node #0,0,4 Current State: 51:[6, 28], Operations: ['24-9=15', '43-15=28'] Exploring Operation: 6*28=168, Resulting Numbers: [168] 168,51 unequal: No Solution Exploring Operation: 28-6=22, Resulting Numbers: [22] 22,51 unequal: No Solution Exploring Operation: 6+28=34, Resulting Numbers: [34] 34,51 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 #0,3 Current State: 51:[9, 43, 18], Operations: ['24-6=18'] Exploring Operation: 9+43=52, Resulting Numbers: [18, 52] Generated Node #0,3,0: 51:[18, 52] Operation: 9+43=52 Exploring Operation: 43-18=25, Resulting Numbers: [9, 25] Generated Node #0,3,1: 51:[9, 25] Operation: 43-18=25 Exploring Operation: 18/9=2, Resulting Numbers: [43, 2] Generated Node #0,3,2: 51:[43, 2] Operation: 18/9=2 Exploring Operation: 43+18=61, Resulting Numbers: [9, 61] Generated Node #0,3,3: 51:[9, 61] Operation: 43+18=61 Exploring Operation: 18-9=9, Resulting Numbers: [43, 9] Generated Node #0,3,4: 51:[43, 9] Operation: 18-9=9 Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 51:[18, 52], Operations: ['24-6=18', '9+43=52'] Exploring Operation: 18*52=936, Resulting Numbers: [936] 936,51 unequal: No Solution Exploring Operation: 52-18=34, Resulting Numbers: [34] 34,51 unequal: No Solution Exploring Operation: 18+52=70, Resulting Numbers: [70] 70,51 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 #0,3,2 Current State: 51:[43, 2], Operations: ['24-6=18', '18/9=2'] Exploring Operation: 43+2=45, Resulting Numbers: [45] 45,51 unequal: No Solution Exploring Operation: 43*2=86, Resulting Numbers: [86] 86,51 unequal: No Solution Exploring Operation: 43-2=41, Resulting Numbers: [41] 41,51 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 #0,3,1 Current State: 51:[9, 25], Operations: ['24-6=18', '43-18=25'] Exploring Operation: 9*25=225, Resulting Numbers: [225] 225,51 unequal: No Solution Exploring Operation: 25-9=16, Resulting Numbers: [16] 16,51 unequal: No Solution Exploring Operation: 9+25=34, Resulting Numbers: [34] 34,51 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 #0,3,4 Current State: 51:[43, 9], Operations: ['24-6=18', '18-9=9'] Exploring Operation: 43-9=34, Resulting Numbers: [34] 34,51 unequal: No Solution Exploring Operation: 43+9=52, Resulting Numbers: [52] 52,51 unequal: No Solution Exploring Operation: 43*9=387, Resulting Numbers: [387] 387,51 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 #0,3,3 Current State: 51:[9, 61], Operations: ['24-6=18', '43+18=61'] Exploring Operation: 61-9=52, Resulting Numbers: [52] 52,51 unequal: No Solution Exploring Operation: 9*61=549, Resulting Numbers: [549] 549,51 unequal: No Solution Exploring Operation: 9+61=70, Resulting Numbers: [70] 70,51 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 #0,4 Current State: 51:[9, 43, 4], Operations: ['24/6=4'] Exploring Operation: 9-4=5, Resulting Numbers: [43, 5] Generated Node #0,4,0: 51:[43, 5] Operation: 9-4=5 Exploring Operation: 43+4=47, Resulting Numbers: [9, 47] Generated Node #0,4,1: 51:[9, 47] Operation: 43+4=47 Exploring Operation: 9+4=13, Resulting Numbers: [43, 13] Generated Node #0,4,2: 51:[43, 13] Operation: 9+4=13 Exploring Operation: 9+43=52, Resulting Numbers: [4, 52] Generated Node #0,4,3: 51:[4, 52] Operation: 9+43=52 Exploring Operation: 43-9=34, Resulting Numbers: [4, 34] Generated Node #0,4,4: 51:[4, 34] Operation: 43-9=34 Moving to Node #0,4,3 Current State: 51:[4, 52], Operations: ['24/6=4', '9+43=52'] Exploring Operation: 52-4=48, Resulting Numbers: [48] 48,51 unequal: No Solution Exploring Operation: 52/4=13, Resulting Numbers: [13] 13,51 unequal: No Solution Exploring Operation: 4+52=56, Resulting Numbers: [56] 56,51 unequal: No Solution Exploring Operation: 4*52=208, Resulting Numbers: [208] 208,51 unequal: No Solution Moving to Node #0,4,1 Current State: 51:[9, 47], Operations: ['24/6=4', '43+4=47'] Exploring Operation: 9*47=423, Resulting Numbers: [423] 423,51 unequal: No Solution Exploring Operation: 9+47=56, Resulting Numbers: [56] 56,51 unequal: No Solution Exploring Operation: 47-9=38, Resulting Numbers: [38] 38,51 unequal: No Solution Moving to Node #0,4,0 Current State: 51:[43, 5], Operations: ['24/6=4', '9-4=5'] Exploring Operation: 43-5=38, Resulting Numbers: [38] 38,51 unequal: No Solution Exploring Operation: 43+5=48, Resulting Numbers: [48] 48,51 unequal: No Solution Exploring Operation: 43*5=215, Resulting Numbers: [215] 215,51 unequal: No Solution Moving to Node #0,4,2 Current State: 51:[43, 13], Operations: ['24/6=4', '9+4=13'] Exploring Operation: 43-13=30, Resulting Numbers: [30] 30,51 unequal: No Solution Exploring Operation: 43*13=559, Resulting Numbers: [559] 559,51 unequal: No Solution Exploring Operation: 43+13=56, Resulting Numbers: [56] 56,51 unequal: No Solution Moving to Node #0,4,4 Current State: 51:[4, 34], Operations: ['24/6=4', '43-9=34'] Exploring Operation: 4+34=38, Resulting Numbers: [38] 38,51 unequal: No Solution Exploring Operation: 4*34=136, Resulting Numbers: [136] 136,51 unequal: No Solution Exploring Operation: 34-4=30, Resulting Numbers: [30] 30,51 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
[ 69, 1, 47, 78 ]
99
[ "69-1=68", "78-47=31", "68+31=99" ]
Current State: 99:[69, 1, 47, 78], Operations: [] Exploring Operation: 69-1=68, Resulting Numbers: [47, 78, 68] Generated Node #2: [47, 78, 68] from Operation: 69-1=68 Current State: 99:[47, 78, 68], Operations: ['69-1=68'] Exploring Operation: 78-47=31, Resulting Numbers: [68, 31] Generated Node #3: [68, 31] from Operation: 78-47=31 Current State: 99:[68, 31], Operations: ['69-1=68', '78-47=31'] Exploring Operation: 68+31=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
Current State: 99:[69, 1, 47, 78], Operations: [] Exploring Operation: 78-69=9, Resulting Numbers: [1, 47, 9] Generated Node #0,0: 99:[1, 47, 9] Operation: 78-69=9 Exploring Operation: 69+47=116, Resulting Numbers: [1, 78, 116] Generated Node #0,1: 99:[1, 78, 116] Operation: 69+47=116 Exploring Operation: 47+78=125, Resulting Numbers: [69, 1, 125] Generated Node #0,2: 99:[69, 1, 125] Operation: 47+78=125 Exploring Operation: 69-47=22, Resulting Numbers: [1, 78, 22] Generated Node #0,3: 99:[1, 78, 22] Operation: 69-47=22 Exploring Operation: 78-47=31, Resulting Numbers: [69, 1, 31] Generated Node #0,4: 99:[69, 1, 31] Operation: 78-47=31 Moving to Node #0,0 Current State: 99:[1, 47, 9], Operations: ['78-69=9'] Exploring Operation: 1*9=9, Resulting Numbers: [47, 9] Generated Node #0,0,0: 99:[47, 9] Operation: 1*9=9 Exploring Operation: 47-1=46, Resulting Numbers: [9, 46] Generated Node #0,0,1: 99:[9, 46] Operation: 47-1=46 Exploring Operation: 1*47=47, Resulting Numbers: [9, 47] Generated Node #0,0,2: 99:[9, 47] Operation: 1*47=47 Exploring Operation: 47-9=38, Resulting Numbers: [1, 38] Generated Node #0,0,3: 99:[1, 38] Operation: 47-9=38 Exploring Operation: 47/1=47, Resulting Numbers: [9, 47] Generated Node #0,0,4: 99:[9, 47] Operation: 47/1=47 Moving to Node #0,4 Current State: 99:[69, 1, 31], Operations: ['78-47=31'] Exploring Operation: 69*1=69, Resulting Numbers: [31, 69] Generated Node #0,4,0: 99:[31, 69] Operation: 69*1=69 Exploring Operation: 69+1=70, Resulting Numbers: [31, 70] Generated Node #0,4,1: 99:[31, 70] Operation: 69+1=70 Exploring Operation: 69-31=38, Resulting Numbers: [1, 38] Generated Node #0,4,2: 99:[1, 38] Operation: 69-31=38 Exploring Operation: 69+31=100, Resulting Numbers: [1, 100] Generated Node #0,4,3: 99:[1, 100] Operation: 69+31=100 Exploring Operation: 1+31=32, Resulting Numbers: [69, 32] Generated Node #0,4,4: 99:[69, 32] Operation: 1+31=32 Moving to Node #0,3 Current State: 99:[1, 78, 22], Operations: ['69-47=22'] Exploring Operation: 22-1=21, Resulting Numbers: [78, 21] Generated Node #0,3,0: 99:[78, 21] Operation: 22-1=21 Exploring Operation: 1+78=79, Resulting Numbers: [22, 79] Generated Node #0,3,1: 99:[22, 79] Operation: 1+78=79 Exploring Operation: 78-22=56, Resulting Numbers: [1, 56] Generated Node #0,3,2: 99:[1, 56] Operation: 78-22=56 Exploring Operation: 1+22=23, Resulting Numbers: [78, 23] Generated Node #0,3,3: 99:[78, 23] Operation: 1+22=23 Exploring Operation: 78+22=100, Resulting Numbers: [1, 100] Generated Node #0,3,4: 99:[1, 100] Operation: 78+22=100 Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 99:[1, 100], Operations: ['69-47=22', '78+22=100'] Exploring Operation: 1+100=101, Resulting Numbers: [101] 101,99 unequal: No Solution Exploring Operation: 100/1=100, Resulting Numbers: [100] 100,99 unequal: No Solution Exploring Operation: 100-1=99, Resulting Numbers: [99] 99,99 equal: Goal Reached Moving to Node #0 Current State: 99:[69, 1, 47, 78], Operations: [] Exploring Operation: 69-47=22, Resulting Numbers: [1, 78, 22] Generated Node #0,3: 99:[1, 78, 22] Operation: 69-47=22 Moving to Node #0,3 Current State: 99:[1, 78, 22], Operations: ['69-47=22'] Exploring Operation: 78+22=100, Resulting Numbers: [1, 100] Generated Node #0,3,4: 99:[1, 100] Operation: 78+22=100 Moving to Node #0,3,4 Current State: 99:[1, 100], Operations: ['69-47=22', '78+22=100'] Exploring Operation: 100-1=99, Resulting Numbers: [99] 99,99 equal: Goal Reached Exit Sub Search at level 1
0.976563
hs_5
mult_heuristic
[ 71, 98, 39, 54 ]
42
[ "98-71=27", "54-39=15", "27+15=42" ]
Current State: 42:[71, 98, 39, 54], Operations: [] Exploring Operation: 98-71=27, Resulting Numbers: [39, 54, 27] Generated Node #2: [39, 54, 27] from Operation: 98-71=27 Current State: 42:[39, 54, 27], Operations: ['98-71=27'] Exploring Operation: 54-39=15, Resulting Numbers: [27, 15] Generated Node #3: [27, 15] from Operation: 54-39=15 Current State: 42:[27, 15], Operations: ['98-71=27', '54-39=15'] Exploring Operation: 27+15=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
Current State: 42:[71, 98, 39, 54], Operations: [] Exploring Operation: 71-54=17, Resulting Numbers: [98, 39, 17] Generated Node #0,0: 42:[98, 39, 17] Operation: 71-54=17 Exploring Operation: 98-71=27, Resulting Numbers: [39, 54, 27] Generated Node #0,1: 42:[39, 54, 27] Operation: 98-71=27 Exploring Operation: 98-54=44, Resulting Numbers: [71, 39, 44] Generated Node #0,2: 42:[71, 39, 44] Operation: 98-54=44 Exploring Operation: 98-39=59, Resulting Numbers: [71, 54, 59] Generated Node #0,3: 42:[71, 54, 59] Operation: 98-39=59 Start Sub Search at level 1: Moving to Node #0,1 Current State: 42:[39, 54, 27], Operations: ['98-71=27'] Exploring Operation: 54/27=2, Resulting Numbers: [39, 2] Generated Node #0,1,0: 42:[39, 2] Operation: 54/27=2 Exploring Operation: 54-39=15, Resulting Numbers: [27, 15] Generated Node #0,1,1: 42:[27, 15] Operation: 54-39=15 Exploring Operation: 39-27=12, Resulting Numbers: [54, 12] Generated Node #0,1,2: 42:[54, 12] Operation: 39-27=12 Exploring Operation: 54-27=27, Resulting Numbers: [39, 27] Generated Node #0,1,3: 42:[39, 27] Operation: 54-27=27 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 42:[39, 2], Operations: ['98-71=27', '54/27=2'] Exploring Operation: 39-2=37, Resulting Numbers: [37] 37,42 unequal: No Solution Exploring Operation: 39+2=41, Resulting Numbers: [41] 41,42 unequal: No Solution Exploring Operation: 39*2=78, Resulting Numbers: [78] 78,42 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 #0,1,1 Current State: 42:[27, 15], Operations: ['98-71=27', '54-39=15'] Exploring Operation: 27+15=42, Resulting Numbers: [42] 42,42 equal: Goal Reached Moving to Node #0 Current State: 42:[71, 98, 39, 54], Operations: [] Exploring Operation: 98-71=27, Resulting Numbers: [39, 54, 27] Generated Node #0,1: 42:[39, 54, 27] Operation: 98-71=27 Moving to Node #0,1 Current State: 42:[39, 54, 27], Operations: ['98-71=27'] Exploring Operation: 54-39=15, Resulting Numbers: [27, 15] Generated Node #0,1,1: 42:[27, 15] Operation: 54-39=15 Moving to Node #0,1,1 Current State: 42:[27, 15], Operations: ['98-71=27', '54-39=15'] Exploring Operation: 27+15=42, Resulting Numbers: [42] 42,42 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.986111
hs_4
sum_heuristic
[ 90, 21, 87, 2 ]
57
[ "90-87=3", "21-2=19", "3*19=57" ]
Current State: 57:[90, 21, 87, 2], Operations: [] Exploring Operation: 90-87=3, Resulting Numbers: [21, 2, 3] Generated Node #2: [21, 2, 3] from Operation: 90-87=3 Current State: 57:[21, 2, 3], Operations: ['90-87=3'] Exploring Operation: 21-2=19, Resulting Numbers: [3, 19] Generated Node #3: [3, 19] from Operation: 21-2=19 Current State: 57:[3, 19], Operations: ['90-87=3', '21-2=19'] Exploring Operation: 3*19=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
Current State: 57:[90, 21, 87, 2], Operations: [] Exploring Operation: 90-87=3, Resulting Numbers: [21, 2, 3] Generated Node #0,0: 57:[21, 2, 3] Operation: 90-87=3 Exploring Operation: 90/2=45, Resulting Numbers: [21, 87, 45] Generated Node #0,1: 57:[21, 87, 45] Operation: 90/2=45 Exploring Operation: 90-21=69, Resulting Numbers: [87, 2, 69] Generated Node #0,2: 57:[87, 2, 69] Operation: 90-21=69 Exploring Operation: 87-21=66, Resulting Numbers: [90, 2, 66] Generated Node #0,3: 57:[90, 2, 66] Operation: 87-21=66 Start Sub Search at level 1: Moving to Node #0,0 Current State: 57:[21, 2, 3], Operations: ['90-87=3'] Exploring Operation: 21+2=23, Resulting Numbers: [3, 23] Generated Node #0,0,0: 57:[3, 23] Operation: 21+2=23 Exploring Operation: 21-3=18, Resulting Numbers: [2, 18] Generated Node #0,0,1: 57:[2, 18] Operation: 21-3=18 Exploring Operation: 21-2=19, Resulting Numbers: [3, 19] Generated Node #0,0,2: 57:[3, 19] Operation: 21-2=19 Exploring Operation: 2+3=5, Resulting Numbers: [21, 5] Generated Node #0,0,3: 57:[21, 5] Operation: 2+3=5 Moving to Node #0,0,2 Current State: 57:[3, 19], Operations: ['90-87=3', '21-2=19'] Exploring Operation: 3+19=22, Resulting Numbers: [22] 22,57 unequal: No Solution Exploring Operation: 19-3=16, Resulting Numbers: [16] 16,57 unequal: No Solution Exploring Operation: 3*19=57, Resulting Numbers: [57] 57,57 equal: Goal Reached Moving to Node #0 Current State: 57:[90, 21, 87, 2], Operations: [] Exploring Operation: 90-87=3, Resulting Numbers: [21, 2, 3] Generated Node #0,0: 57:[21, 2, 3] Operation: 90-87=3 Moving to Node #0,0 Current State: 57:[21, 2, 3], Operations: ['90-87=3'] Exploring Operation: 21-2=19, Resulting Numbers: [3, 19] Generated Node #0,0,2: 57:[3, 19] Operation: 21-2=19 Moving to Node #0,0,2 Current State: 57:[3, 19], Operations: ['90-87=3', '21-2=19'] Exploring Operation: 3*19=57, Resulting Numbers: [57] 57,57 equal: Goal Reached Exit Sub Search at level 1
0.986979
hs_4
mult_heuristic
[ 43, 20, 58, 19 ]
80
[ "58-43=15", "19-15=4", "20*4=80" ]
Current State: 80:[43, 20, 58, 19], Operations: [] Exploring Operation: 58-43=15, Resulting Numbers: [20, 19, 15] Generated Node #2: [20, 19, 15] from Operation: 58-43=15 Current State: 80:[20, 19, 15], Operations: ['58-43=15'] Exploring Operation: 19-15=4, Resulting Numbers: [20, 4] Generated Node #3: [20, 4] from Operation: 19-15=4 Current State: 80:[20, 4], Operations: ['58-43=15', '19-15=4'] Exploring Operation: 20*4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
Current State: 80:[43, 20, 58, 19], Operations: [] Exploring Operation: 58-19=39, Resulting Numbers: [43, 20, 39] Generated Node #0,0: 80:[43, 20, 39] Operation: 58-19=39 Exploring Operation: 58-43=15, Resulting Numbers: [20, 19, 15] Generated Node #0,1: 80:[20, 19, 15] Operation: 58-43=15 Exploring Operation: 20+58=78, Resulting Numbers: [43, 19, 78] Generated Node #0,2: 80:[43, 19, 78] Operation: 20+58=78 Start Sub Search at level 1: Moving to Node #0,1 Current State: 80:[20, 19, 15], Operations: ['58-43=15'] Exploring Operation: 20-15=5, Resulting Numbers: [19, 5] Generated Node #0,1,0: 80:[19, 5] Operation: 20-15=5 Exploring Operation: 19-15=4, Resulting Numbers: [20, 4] Generated Node #0,1,1: 80:[20, 4] Operation: 19-15=4 Exploring Operation: 20+19=39, Resulting Numbers: [15, 39] Generated Node #0,1,2: 80:[15, 39] Operation: 20+19=39 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 80:[20, 4], Operations: ['58-43=15', '19-15=4'] Exploring Operation: 20*4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached Moving to Node #0 Current State: 80:[43, 20, 58, 19], Operations: [] Exploring Operation: 58-43=15, Resulting Numbers: [20, 19, 15] Generated Node #0,1: 80:[20, 19, 15] Operation: 58-43=15 Moving to Node #0,1 Current State: 80:[20, 19, 15], Operations: ['58-43=15'] Exploring Operation: 19-15=4, Resulting Numbers: [20, 4] Generated Node #0,1,1: 80:[20, 4] Operation: 19-15=4 Moving to Node #0,1,1 Current State: 80:[20, 4], Operations: ['58-43=15', '19-15=4'] Exploring Operation: 20*4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.990451
hs_3
mult_heuristic
[ 63, 41, 44, 89 ]
91
[ "63-41=22", "44/22=2", "89+2=91" ]
Current State: 91:[63, 41, 44, 89], Operations: [] Exploring Operation: 63-41=22, Resulting Numbers: [44, 89, 22] Generated Node #2: [44, 89, 22] from Operation: 63-41=22 Current State: 91:[44, 89, 22], Operations: ['63-41=22'] Exploring Operation: 44/22=2, Resulting Numbers: [89, 2] Generated Node #3: [89, 2] from Operation: 44/22=2 Current State: 91:[89, 2], Operations: ['63-41=22', '44/22=2'] Exploring Operation: 89+2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
Current State: 91:[63, 41, 44, 89], Operations: [] Exploring Operation: 44-41=3, Resulting Numbers: [63, 89, 3] Generated Node #0,0: 91:[63, 89, 3] Operation: 44-41=3 Moving to Node #0,0 Current State: 91:[63, 89, 3], Operations: ['44-41=3'] Exploring Operation: 63/3=21, Resulting Numbers: [89, 21] Generated Node #0,0,0: 91:[89, 21] Operation: 63/3=21 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 91:[89, 21], Operations: ['44-41=3', '63/3=21'] Exploring Operation: 89+21=110, Resulting Numbers: [110] 110,91 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
[ 91, 37, 1, 30 ]
85
[ "91-37=54", "1+30=31", "54+31=85" ]
Current State: 85:[91, 37, 1, 30], Operations: [] Exploring Operation: 91-37=54, Resulting Numbers: [1, 30, 54] Generated Node #2: [1, 30, 54] from Operation: 91-37=54 Current State: 85:[1, 30, 54], Operations: ['91-37=54'] Exploring Operation: 1+30=31, Resulting Numbers: [54, 31] Generated Node #3: [54, 31] from Operation: 1+30=31 Current State: 85:[54, 31], Operations: ['91-37=54', '1+30=31'] Exploring Operation: 54+31=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
Current State: 85:[91, 37, 1, 30], Operations: [] Exploring Operation: 37-30=7, Resulting Numbers: [91, 1, 7] Generated Node #0,0: 85:[91, 1, 7] Operation: 37-30=7 Moving to Node #0,0 Current State: 85:[91, 1, 7], Operations: ['37-30=7'] Exploring Operation: 91-7=84, Resulting Numbers: [1, 84] Generated Node #0,0,0: 85:[1, 84] Operation: 91-7=84 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 85:[1, 84], Operations: ['37-30=7', '91-7=84'] Exploring Operation: 1+84=85, Resulting Numbers: [85] 85,85 equal: Goal Reached Moving to Node #0 Current State: 85:[91, 37, 1, 30], Operations: [] Exploring Operation: 37-30=7, Resulting Numbers: [91, 1, 7] Generated Node #0,0: 85:[91, 1, 7] Operation: 37-30=7 Moving to Node #0,0 Current State: 85:[91, 1, 7], Operations: ['37-30=7'] Exploring Operation: 91-7=84, Resulting Numbers: [1, 84] Generated Node #0,0,0: 85:[1, 84] Operation: 91-7=84 Moving to Node #0,0,0 Current State: 85:[1, 84], Operations: ['37-30=7', '91-7=84'] Exploring Operation: 1+84=85, Resulting Numbers: [85] 85,85 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
sum_heuristic
[ 59, 3, 81, 97 ]
79
[ "59+81=140", "97+140=237", "237/3=79" ]
Current State: 79:[59, 3, 81, 97], Operations: [] Exploring Operation: 59+81=140, Resulting Numbers: [3, 97, 140] Generated Node #2: [3, 97, 140] from Operation: 59+81=140 Current State: 79:[3, 97, 140], Operations: ['59+81=140'] Exploring Operation: 97+140=237, Resulting Numbers: [3, 237] Generated Node #3: [3, 237] from Operation: 97+140=237 Current State: 79:[3, 237], Operations: ['59+81=140', '97+140=237'] Exploring Operation: 237/3=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
Current State: 79:[59, 3, 81, 97], Operations: [] Exploring Operation: 97-3=94, Resulting Numbers: [59, 81, 94] Generated Node #0,0: 79:[59, 81, 94] Operation: 97-3=94 Exploring Operation: 81-3=78, Resulting Numbers: [59, 97, 78] Generated Node #0,1: 79:[59, 97, 78] Operation: 81-3=78 Exploring Operation: 59-3=56, Resulting Numbers: [81, 97, 56] Generated Node #0,2: 79:[81, 97, 56] Operation: 59-3=56 Exploring Operation: 59+3=62, Resulting Numbers: [81, 97, 62] Generated Node #0,3: 79:[81, 97, 62] Operation: 59+3=62 Exploring Operation: 3+81=84, Resulting Numbers: [59, 97, 84] Generated Node #0,4: 79:[59, 97, 84] Operation: 3+81=84 Start Sub Search at level 1: Moving to Node #0,0 Current State: 79:[59, 81, 94], Operations: ['97-3=94'] Exploring Operation: 59+81=140, Resulting Numbers: [94, 140] Generated Node #0,0,0: 79:[94, 140] Operation: 59+81=140 Exploring Operation: 94-59=35, Resulting Numbers: [81, 35] Generated Node #0,0,1: 79:[81, 35] Operation: 94-59=35 Exploring Operation: 94-81=13, Resulting Numbers: [59, 13] Generated Node #0,0,2: 79:[59, 13] Operation: 94-81=13 Exploring Operation: 59+94=153, Resulting Numbers: [81, 153] Generated Node #0,0,3: 79:[81, 153] Operation: 59+94=153 Exploring Operation: 81-59=22, Resulting Numbers: [94, 22] Generated Node #0,0,4: 79:[94, 22] Operation: 81-59=22 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 79:[81, 35], Operations: ['97-3=94', '94-59=35'] Exploring Operation: 81+35=116, Resulting Numbers: [116] 116,79 unequal: No Solution Exploring Operation: 81-35=46, Resulting Numbers: [46] 46,79 unequal: No Solution Exploring Operation: 81*35=2835, Resulting Numbers: [2835] 2835,79 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: 79:[94, 22], Operations: ['97-3=94', '81-59=22'] Exploring Operation: 94+22=116, Resulting Numbers: [116] 116,79 unequal: No Solution Exploring Operation: 94-22=72, Resulting Numbers: [72] 72,79 unequal: No Solution Exploring Operation: 94*22=2068, Resulting Numbers: [2068] 2068,79 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: 79:[94, 140], Operations: ['97-3=94', '59+81=140'] Exploring Operation: 140-94=46, Resulting Numbers: [46] 46,79 unequal: No Solution Exploring Operation: 94+140=234, Resulting Numbers: [234] 234,79 unequal: No Solution Exploring Operation: 94*140=13160, Resulting Numbers: [13160] 13160,79 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: 79:[81, 153], Operations: ['97-3=94', '59+94=153'] Exploring Operation: 81+153=234, Resulting Numbers: [234] 234,79 unequal: No Solution Exploring Operation: 153-81=72, Resulting Numbers: [72] 72,79 unequal: No Solution Exploring Operation: 81*153=12393, Resulting Numbers: [12393] 12393,79 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: 79:[59, 13], Operations: ['97-3=94', '94-81=13'] Exploring Operation: 59-13=46, Resulting Numbers: [46] 46,79 unequal: No Solution Exploring Operation: 59+13=72, Resulting Numbers: [72] 72,79 unequal: No Solution Exploring Operation: 59*13=767, Resulting Numbers: [767] 767,79 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: 79:[81, 97, 62], Operations: ['59+3=62'] Exploring Operation: 81-62=19, Resulting Numbers: [97, 19] Generated Node #0,3,0: 79:[97, 19] Operation: 81-62=19 Exploring Operation: 97-81=16, Resulting Numbers: [62, 16] Generated Node #0,3,1: 79:[62, 16] Operation: 97-81=16 Exploring Operation: 97-62=35, Resulting Numbers: [81, 35] Generated Node #0,3,2: 79:[81, 35] Operation: 97-62=35 Exploring Operation: 81+62=143, Resulting Numbers: [97, 143] Generated Node #0,3,3: 79:[97, 143] Operation: 81+62=143 Exploring Operation: 97+62=159, Resulting Numbers: [81, 159] Generated Node #0,3,4: 79:[81, 159] Operation: 97+62=159 Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 79:[81, 35], Operations: ['59+3=62', '97-62=35'] Exploring Operation: 81-35=46, Resulting Numbers: [46] 46,79 unequal: No Solution Exploring Operation: 81*35=2835, Resulting Numbers: [2835] 2835,79 unequal: No Solution Exploring Operation: 81+35=116, Resulting Numbers: [116] 116,79 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: 79:[97, 19], Operations: ['59+3=62', '81-62=19'] Exploring Operation: 97*19=1843, Resulting Numbers: [1843] 1843,79 unequal: No Solution Exploring Operation: 97-19=78, Resulting Numbers: [78] 78,79 unequal: No Solution Exploring Operation: 97+19=116, Resulting Numbers: [116] 116,79 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: 79:[62, 16], Operations: ['59+3=62', '97-81=16'] Exploring Operation: 62+16=78, Resulting Numbers: [78] 78,79 unequal: No Solution Exploring Operation: 62*16=992, Resulting Numbers: [992] 992,79 unequal: No Solution Exploring Operation: 62-16=46, Resulting Numbers: [46] 46,79 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: 79:[97, 143], Operations: ['59+3=62', '81+62=143'] Exploring Operation: 143-97=46, Resulting Numbers: [46] 46,79 unequal: No Solution Exploring Operation: 97+143=240, Resulting Numbers: [240] 240,79 unequal: No Solution Exploring Operation: 97*143=13871, Resulting Numbers: [13871] 13871,79 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 #0,3,4 Current State: 79:[81, 159], Operations: ['59+3=62', '97+62=159'] Exploring Operation: 81+159=240, Resulting Numbers: [240] 240,79 unequal: No Solution Exploring Operation: 81*159=12879, Resulting Numbers: [12879] 12879,79 unequal: No Solution Exploring Operation: 159-81=78, Resulting Numbers: [78] 78,79 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: 79:[59, 97, 78], Operations: ['81-3=78'] Exploring Operation: 59+97=156, Resulting Numbers: [78, 156] Generated Node #0,1,0: 79:[78, 156] Operation: 59+97=156 Exploring Operation: 59+78=137, Resulting Numbers: [97, 137] Generated Node #0,1,1: 79:[97, 137] Operation: 59+78=137 Exploring Operation: 97-78=19, Resulting Numbers: [59, 19] Generated Node #0,1,2: 79:[59, 19] Operation: 97-78=19 Exploring Operation: 97-59=38, Resulting Numbers: [78, 38] Generated Node #0,1,3: 79:[78, 38] Operation: 97-59=38 Exploring Operation: 78-59=19, Resulting Numbers: [97, 19] Generated Node #0,1,4: 79:[97, 19] Operation: 78-59=19 Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 79:[78, 38], Operations: ['81-3=78', '97-59=38'] Exploring Operation: 78*38=2964, Resulting Numbers: [2964] 2964,79 unequal: No Solution Exploring Operation: 78-38=40, Resulting Numbers: [40] 40,79 unequal: No Solution Exploring Operation: 78+38=116, Resulting Numbers: [116] 116,79 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: 79:[97, 137], Operations: ['81-3=78', '59+78=137'] Exploring Operation: 137-97=40, Resulting Numbers: [40] 40,79 unequal: No Solution Exploring Operation: 97+137=234, Resulting Numbers: [234] 234,79 unequal: No Solution Exploring Operation: 97*137=13289, Resulting Numbers: [13289] 13289,79 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: 79:[78, 156], Operations: ['81-3=78', '59+97=156'] Exploring Operation: 78*156=12168, Resulting Numbers: [12168] 12168,79 unequal: No Solution Exploring Operation: 156-78=78, Resulting Numbers: [78] 78,79 unequal: No Solution Exploring Operation: 156/78=2, Resulting Numbers: [2] 2,79 unequal: No Solution Exploring Operation: 78+156=234, Resulting Numbers: [234] 234,79 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: 79:[97, 19], Operations: ['81-3=78', '78-59=19'] Exploring Operation: 97-19=78, Resulting Numbers: [78] 78,79 unequal: No Solution Exploring Operation: 97*19=1843, Resulting Numbers: [1843] 1843,79 unequal: No Solution Exploring Operation: 97+19=116, Resulting Numbers: [116] 116,79 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: 79:[59, 19], Operations: ['81-3=78', '97-78=19'] Exploring Operation: 59*19=1121, Resulting Numbers: [1121] 1121,79 unequal: No Solution Exploring Operation: 59+19=78, Resulting Numbers: [78] 78,79 unequal: No Solution Exploring Operation: 59-19=40, Resulting Numbers: [40] 40,79 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: 79:[81, 97, 56], Operations: ['59-3=56'] Exploring Operation: 97-56=41, Resulting Numbers: [81, 41] Generated Node #0,2,0: 79:[81, 41] Operation: 97-56=41 Exploring Operation: 81-56=25, Resulting Numbers: [97, 25] Generated Node #0,2,1: 79:[97, 25] Operation: 81-56=25 Exploring Operation: 81+56=137, Resulting Numbers: [97, 137] Generated Node #0,2,2: 79:[97, 137] Operation: 81+56=137 Exploring Operation: 97-81=16, Resulting Numbers: [56, 16] Generated Node #0,2,3: 79:[56, 16] Operation: 97-81=16 Exploring Operation: 97+56=153, Resulting Numbers: [81, 153] Generated Node #0,2,4: 79:[81, 153] Operation: 97+56=153 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 79:[81, 41], Operations: ['59-3=56', '97-56=41'] Exploring Operation: 81-41=40, Resulting Numbers: [40] 40,79 unequal: No Solution Exploring Operation: 81*41=3321, Resulting Numbers: [3321] 3321,79 unequal: No Solution Exploring Operation: 81+41=122, Resulting Numbers: [122] 122,79 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: 79:[97, 25], Operations: ['59-3=56', '81-56=25'] Exploring Operation: 97*25=2425, Resulting Numbers: [2425] 2425,79 unequal: No Solution Exploring Operation: 97+25=122, Resulting Numbers: [122] 122,79 unequal: No Solution Exploring Operation: 97-25=72, Resulting Numbers: [72] 72,79 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: 79:[97, 137], Operations: ['59-3=56', '81+56=137'] Exploring Operation: 137-97=40, Resulting Numbers: [40] 40,79 unequal: No Solution Exploring Operation: 97*137=13289, Resulting Numbers: [13289] 13289,79 unequal: No Solution Exploring Operation: 97+137=234, Resulting Numbers: [234] 234,79 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 #0,2,4 Current State: 79:[81, 153], Operations: ['59-3=56', '97+56=153'] Exploring Operation: 153-81=72, Resulting Numbers: [72] 72,79 unequal: No Solution Exploring Operation: 81+153=234, Resulting Numbers: [234] 234,79 unequal: No Solution Exploring Operation: 81*153=12393, Resulting Numbers: [12393] 12393,79 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: 79:[56, 16], Operations: ['59-3=56', '97-81=16'] Exploring Operation: 56*16=896, Resulting Numbers: [896] 896,79 unequal: No Solution Exploring Operation: 56-16=40, Resulting Numbers: [40] 40,79 unequal: No Solution Exploring Operation: 56+16=72, Resulting Numbers: [72] 72,79 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 #0,4 Current State: 79:[59, 97, 84], Operations: ['3+81=84'] Exploring Operation: 97-84=13, Resulting Numbers: [59, 13] Generated Node #0,4,0: 79:[59, 13] Operation: 97-84=13 Exploring Operation: 84-59=25, Resulting Numbers: [97, 25] Generated Node #0,4,1: 79:[97, 25] Operation: 84-59=25 Exploring Operation: 59+84=143, Resulting Numbers: [97, 143] Generated Node #0,4,2: 79:[97, 143] Operation: 59+84=143 Exploring Operation: 59+97=156, Resulting Numbers: [84, 156] Generated Node #0,4,3: 79:[84, 156] Operation: 59+97=156 Exploring Operation: 97-59=38, Resulting Numbers: [84, 38] Generated Node #0,4,4: 79:[84, 38] Operation: 97-59=38 Moving to Node #0,4,4 Current State: 79:[84, 38], Operations: ['3+81=84', '97-59=38'] Exploring Operation: 84*38=3192, Resulting Numbers: [3192] 3192,79 unequal: No Solution Exploring Operation: 84-38=46, Resulting Numbers: [46] 46,79 unequal: No Solution Exploring Operation: 84+38=122, Resulting Numbers: [122] 122,79 unequal: No Solution Moving to Node #0,4,1 Current State: 79:[97, 25], Operations: ['3+81=84', '84-59=25'] Exploring Operation: 97-25=72, Resulting Numbers: [72] 72,79 unequal: No Solution Exploring Operation: 97*25=2425, Resulting Numbers: [2425] 2425,79 unequal: No Solution Exploring Operation: 97+25=122, Resulting Numbers: [122] 122,79 unequal: No Solution Moving to Node #0,4,2 Current State: 79:[97, 143], Operations: ['3+81=84', '59+84=143'] Exploring Operation: 97+143=240, Resulting Numbers: [240] 240,79 unequal: No Solution Exploring Operation: 97*143=13871, Resulting Numbers: [13871] 13871,79 unequal: No Solution Exploring Operation: 143-97=46, Resulting Numbers: [46] 46,79 unequal: No Solution Moving to Node #0,4,3 Current State: 79:[84, 156], Operations: ['3+81=84', '59+97=156'] Exploring Operation: 156-84=72, Resulting Numbers: [72] 72,79 unequal: No Solution Exploring Operation: 84+156=240, Resulting Numbers: [240] 240,79 unequal: No Solution Exploring Operation: 84*156=13104, Resulting Numbers: [13104] 13104,79 unequal: No Solution Moving to Node #0,4,0 Current State: 79:[59, 13], Operations: ['3+81=84', '97-84=13'] Exploring Operation: 59-13=46, Resulting Numbers: [46] 46,79 unequal: No Solution Exploring Operation: 59+13=72, Resulting Numbers: [72] 72,79 unequal: No Solution Exploring Operation: 59*13=767, Resulting Numbers: [767] 767,79 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
mult_heuristic
[ 16, 32, 2, 7 ]
73
[ "16-7=9", "32*2=64", "9+64=73" ]
Current State: 73:[16, 32, 2, 7], Operations: [] Exploring Operation: 16-7=9, Resulting Numbers: [32, 2, 9] Generated Node #2: [32, 2, 9] from Operation: 16-7=9 Current State: 73:[32, 2, 9], Operations: ['16-7=9'] Exploring Operation: 32*2=64, Resulting Numbers: [9, 64] Generated Node #3: [9, 64] from Operation: 32*2=64 Current State: 73:[9, 64], Operations: ['16-7=9', '32*2=64'] Exploring Operation: 9+64=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
Current State: 73:[16, 32, 2, 7], Operations: [] Exploring Operation: 32*2=64, Resulting Numbers: [16, 7, 64] Generated Node #0,0: 73:[16, 7, 64] Operation: 32*2=64 Exploring Operation: 16*7=112, Resulting Numbers: [32, 2, 112] Generated Node #0,1: 73:[32, 2, 112] Operation: 16*7=112 Exploring Operation: 2*7=14, Resulting Numbers: [16, 32, 14] Generated Node #0,2: 73:[16, 32, 14] Operation: 2*7=14 Exploring Operation: 16*2=32, Resulting Numbers: [32, 7, 32] Generated Node #0,3: 73:[32, 7, 32] Operation: 16*2=32 Start Sub Search at level 1: Moving to Node #0,0 Current State: 73:[16, 7, 64], Operations: ['32*2=64'] Exploring Operation: 16*7=112, Resulting Numbers: [64, 112] Generated Node #0,0,0: 73:[64, 112] Operation: 16*7=112 Exploring Operation: 16+7=23, Resulting Numbers: [64, 23] Generated Node #0,0,1: 73:[64, 23] Operation: 16+7=23 Exploring Operation: 7+64=71, Resulting Numbers: [16, 71] Generated Node #0,0,2: 73:[16, 71] Operation: 7+64=71 Exploring Operation: 16-7=9, Resulting Numbers: [64, 9] Generated Node #0,0,3: 73:[64, 9] Operation: 16-7=9 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 73:[64, 112], Operations: ['32*2=64', '16*7=112'] Exploring Operation: 64*112=7168, Resulting Numbers: [7168] 7168,73 unequal: No Solution Exploring Operation: 112-64=48, Resulting Numbers: [48] 48,73 unequal: No Solution Exploring Operation: 64+112=176, Resulting Numbers: [176] 176,73 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: 73:[64, 23], Operations: ['32*2=64', '16+7=23'] Exploring Operation: 64-23=41, Resulting Numbers: [41] 41,73 unequal: No Solution Exploring Operation: 64*23=1472, Resulting Numbers: [1472] 1472,73 unequal: No Solution Exploring Operation: 64+23=87, Resulting Numbers: [87] 87,73 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: 73:[16, 71], Operations: ['32*2=64', '7+64=71'] Exploring Operation: 71-16=55, Resulting Numbers: [55] 55,73 unequal: No Solution Exploring Operation: 16+71=87, Resulting Numbers: [87] 87,73 unequal: No Solution Exploring Operation: 16*71=1136, Resulting Numbers: [1136] 1136,73 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: 73:[64, 9], Operations: ['32*2=64', '16-7=9'] Exploring Operation: 64+9=73, Resulting Numbers: [73] 73,73 equal: Goal Reached Moving to Node #0 Current State: 73:[16, 32, 2, 7], Operations: [] Exploring Operation: 32*2=64, Resulting Numbers: [16, 7, 64] Generated Node #0,0: 73:[16, 7, 64] Operation: 32*2=64 Moving to Node #0,0 Current State: 73:[16, 7, 64], Operations: ['32*2=64'] Exploring Operation: 16-7=9, Resulting Numbers: [64, 9] Generated Node #0,0,3: 73:[64, 9] Operation: 16-7=9 Moving to Node #0,0,3 Current State: 73:[64, 9], Operations: ['32*2=64', '16-7=9'] Exploring Operation: 64+9=73, Resulting Numbers: [73] 73,73 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.980903
hs_4
mult_heuristic
[ 79, 91, 20, 88 ]
89
[ "88-79=9", "20*9=180", "180-91=89" ]
Current State: 89:[79, 91, 20, 88], Operations: [] Exploring Operation: 88-79=9, Resulting Numbers: [91, 20, 9] Generated Node #2: [91, 20, 9] from Operation: 88-79=9 Current State: 89:[91, 20, 9], Operations: ['88-79=9'] Exploring Operation: 20*9=180, Resulting Numbers: [91, 180] Generated Node #3: [91, 180] from Operation: 20*9=180 Current State: 89:[91, 180], Operations: ['88-79=9', '20*9=180'] Exploring Operation: 180-91=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
Current State: 89:[79, 91, 20, 88], Operations: [] Exploring Operation: 20+88=108, Resulting Numbers: [79, 91, 108] Generated Node #0,0: 89:[79, 91, 108] Operation: 20+88=108 Exploring Operation: 91+20=111, Resulting Numbers: [79, 88, 111] Generated Node #0,1: 89:[79, 88, 111] Operation: 91+20=111 Exploring Operation: 79+20=99, Resulting Numbers: [91, 88, 99] Generated Node #0,2: 89:[91, 88, 99] Operation: 79+20=99 Exploring Operation: 91-20=71, Resulting Numbers: [79, 88, 71] Generated Node #0,3: 89:[79, 88, 71] Operation: 91-20=71 Exploring Operation: 79-20=59, Resulting Numbers: [91, 88, 59] Generated Node #0,4: 89:[91, 88, 59] Operation: 79-20=59 Start Sub Search at level 1: Moving to Node #0,2 Current State: 89:[91, 88, 99], Operations: ['79+20=99'] Exploring Operation: 91-88=3, Resulting Numbers: [99, 3] Generated Node #0,2,0: 89:[99, 3] Operation: 91-88=3 Exploring Operation: 88+99=187, Resulting Numbers: [91, 187] Generated Node #0,2,1: 89:[91, 187] Operation: 88+99=187 Exploring Operation: 99-91=8, Resulting Numbers: [88, 8] Generated Node #0,2,2: 89:[88, 8] Operation: 99-91=8 Exploring Operation: 91+88=179, Resulting Numbers: [99, 179] Generated Node #0,2,3: 89:[99, 179] Operation: 91+88=179 Exploring Operation: 99-88=11, Resulting Numbers: [91, 11] Generated Node #0,2,4: 89:[91, 11] Operation: 99-88=11 Start Sub Search at level 2: Moving to Node #0,2,4 Current State: 89:[91, 11], Operations: ['79+20=99', '99-88=11'] Exploring Operation: 91-11=80, Resulting Numbers: [80] 80,89 unequal: No Solution Exploring Operation: 91+11=102, Resulting Numbers: [102] 102,89 unequal: No Solution Exploring Operation: 91*11=1001, Resulting Numbers: [1001] 1001,89 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: 89:[88, 8], Operations: ['79+20=99', '99-91=8'] Exploring Operation: 88+8=96, Resulting Numbers: [96] 96,89 unequal: No Solution Exploring Operation: 88*8=704, Resulting Numbers: [704] 704,89 unequal: No Solution Exploring Operation: 88-8=80, Resulting Numbers: [80] 80,89 unequal: No Solution Exploring Operation: 88/8=11, Resulting Numbers: [11] 11,89 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: 89:[99, 3], Operations: ['79+20=99', '91-88=3'] Exploring Operation: 99*3=297, Resulting Numbers: [297] 297,89 unequal: No Solution Exploring Operation: 99/3=33, Resulting Numbers: [33] 33,89 unequal: No Solution Exploring Operation: 99-3=96, Resulting Numbers: [96] 96,89 unequal: No Solution Exploring Operation: 99+3=102, Resulting Numbers: [102] 102,89 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: 89:[91, 187], Operations: ['79+20=99', '88+99=187'] Exploring Operation: 91*187=17017, Resulting Numbers: [17017] 17017,89 unequal: No Solution Exploring Operation: 91+187=278, Resulting Numbers: [278] 278,89 unequal: No Solution Exploring Operation: 187-91=96, Resulting Numbers: [96] 96,89 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: 89:[99, 179], Operations: ['79+20=99', '91+88=179'] Exploring Operation: 99*179=17721, Resulting Numbers: [17721] 17721,89 unequal: No Solution Exploring Operation: 99+179=278, Resulting Numbers: [278] 278,89 unequal: No Solution Exploring Operation: 179-99=80, Resulting Numbers: [80] 80,89 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: 89:[79, 88, 71], Operations: ['91-20=71'] Exploring Operation: 79+88=167, Resulting Numbers: [71, 167] Generated Node #0,3,0: 89:[71, 167] Operation: 79+88=167 Exploring Operation: 79-71=8, Resulting Numbers: [88, 8] Generated Node #0,3,1: 89:[88, 8] Operation: 79-71=8 Exploring Operation: 79+71=150, Resulting Numbers: [88, 150] Generated Node #0,3,2: 89:[88, 150] Operation: 79+71=150 Exploring Operation: 88-71=17, Resulting Numbers: [79, 17] Generated Node #0,3,3: 89:[79, 17] Operation: 88-71=17 Exploring Operation: 88+71=159, Resulting Numbers: [79, 159] Generated Node #0,3,4: 89:[79, 159] Operation: 88+71=159 Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 89:[88, 150], Operations: ['91-20=71', '79+71=150'] Exploring Operation: 150-88=62, Resulting Numbers: [62] 62,89 unequal: No Solution Exploring Operation: 88*150=13200, Resulting Numbers: [13200] 13200,89 unequal: No Solution Exploring Operation: 88+150=238, Resulting Numbers: [238] 238,89 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 #0,3,4 Current State: 89:[79, 159], Operations: ['91-20=71', '88+71=159'] Exploring Operation: 159-79=80, Resulting Numbers: [80] 80,89 unequal: No Solution Exploring Operation: 79+159=238, Resulting Numbers: [238] 238,89 unequal: No Solution Exploring Operation: 79*159=12561, Resulting Numbers: [12561] 12561,89 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: 89:[88, 8], Operations: ['91-20=71', '79-71=8'] Exploring Operation: 88-8=80, Resulting Numbers: [80] 80,89 unequal: No Solution Exploring Operation: 88*8=704, Resulting Numbers: [704] 704,89 unequal: No Solution Exploring Operation: 88+8=96, Resulting Numbers: [96] 96,89 unequal: No Solution Exploring Operation: 88/8=11, Resulting Numbers: [11] 11,89 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: 89:[79, 17], Operations: ['91-20=71', '88-71=17'] Exploring Operation: 79+17=96, Resulting Numbers: [96] 96,89 unequal: No Solution Exploring Operation: 79-17=62, Resulting Numbers: [62] 62,89 unequal: No Solution Exploring Operation: 79*17=1343, Resulting Numbers: [1343] 1343,89 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: 89:[71, 167], Operations: ['91-20=71', '79+88=167'] Exploring Operation: 167-71=96, Resulting Numbers: [96] 96,89 unequal: No Solution Exploring Operation: 71*167=11857, Resulting Numbers: [11857] 11857,89 unequal: No Solution Exploring Operation: 71+167=238, Resulting Numbers: [238] 238,89 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: 89:[79, 91, 108], Operations: ['20+88=108'] Exploring Operation: 108-79=29, Resulting Numbers: [91, 29] Generated Node #0,0,0: 89:[91, 29] Operation: 108-79=29 Exploring Operation: 91-79=12, Resulting Numbers: [108, 12] Generated Node #0,0,1: 89:[108, 12] Operation: 91-79=12 Exploring Operation: 79+91=170, Resulting Numbers: [108, 170] Generated Node #0,0,2: 89:[108, 170] Operation: 79+91=170 Exploring Operation: 108-91=17, Resulting Numbers: [79, 17] Generated Node #0,0,3: 89:[79, 17] Operation: 108-91=17 Exploring Operation: 79+108=187, Resulting Numbers: [91, 187] Generated Node #0,0,4: 89:[91, 187] Operation: 79+108=187 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 89:[91, 29], Operations: ['20+88=108', '108-79=29'] Exploring Operation: 91+29=120, Resulting Numbers: [120] 120,89 unequal: No Solution Exploring Operation: 91*29=2639, Resulting Numbers: [2639] 2639,89 unequal: No Solution Exploring Operation: 91-29=62, Resulting Numbers: [62] 62,89 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: 89:[79, 17], Operations: ['20+88=108', '108-91=17'] Exploring Operation: 79+17=96, Resulting Numbers: [96] 96,89 unequal: No Solution Exploring Operation: 79*17=1343, Resulting Numbers: [1343] 1343,89 unequal: No Solution Exploring Operation: 79-17=62, Resulting Numbers: [62] 62,89 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: 89:[108, 12], Operations: ['20+88=108', '91-79=12'] Exploring Operation: 108*12=1296, Resulting Numbers: [1296] 1296,89 unequal: No Solution Exploring Operation: 108+12=120, Resulting Numbers: [120] 120,89 unequal: No Solution Exploring Operation: 108-12=96, Resulting Numbers: [96] 96,89 unequal: No Solution Exploring Operation: 108/12=9, Resulting Numbers: [9] 9,89 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: 89:[108, 170], Operations: ['20+88=108', '79+91=170'] Exploring Operation: 108*170=18360, Resulting Numbers: [18360] 18360,89 unequal: No Solution Exploring Operation: 170-108=62, Resulting Numbers: [62] 62,89 unequal: No Solution Exploring Operation: 108+170=278, Resulting Numbers: [278] 278,89 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: 89:[91, 187], Operations: ['20+88=108', '79+108=187'] Exploring Operation: 187-91=96, Resulting Numbers: [96] 96,89 unequal: No Solution Exploring Operation: 91+187=278, Resulting Numbers: [278] 278,89 unequal: No Solution Exploring Operation: 91*187=17017, Resulting Numbers: [17017] 17017,89 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: 89:[79, 88, 111], Operations: ['91+20=111'] Exploring Operation: 111-88=23, Resulting Numbers: [79, 23] Generated Node #0,1,0: 89:[79, 23] Operation: 111-88=23 Exploring Operation: 79+111=190, Resulting Numbers: [88, 190] Generated Node #0,1,1: 89:[88, 190] Operation: 79+111=190 Exploring Operation: 79+88=167, Resulting Numbers: [111, 167] Generated Node #0,1,2: 89:[111, 167] Operation: 79+88=167 Exploring Operation: 111-79=32, Resulting Numbers: [88, 32] Generated Node #0,1,3: 89:[88, 32] Operation: 111-79=32 Exploring Operation: 88-79=9, Resulting Numbers: [111, 9] Generated Node #0,1,4: 89:[111, 9] Operation: 88-79=9 Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 89:[88, 32], Operations: ['91+20=111', '111-79=32'] Exploring Operation: 88-32=56, Resulting Numbers: [56] 56,89 unequal: No Solution Exploring Operation: 88*32=2816, Resulting Numbers: [2816] 2816,89 unequal: No Solution Exploring Operation: 88+32=120, Resulting Numbers: [120] 120,89 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: 89:[79, 23], Operations: ['91+20=111', '111-88=23'] Exploring Operation: 79+23=102, Resulting Numbers: [102] 102,89 unequal: No Solution Exploring Operation: 79*23=1817, Resulting Numbers: [1817] 1817,89 unequal: No Solution Exploring Operation: 79-23=56, Resulting Numbers: [56] 56,89 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: 89:[111, 167], Operations: ['91+20=111', '79+88=167'] Exploring Operation: 111+167=278, Resulting Numbers: [278] 278,89 unequal: No Solution Exploring Operation: 111*167=18537, Resulting Numbers: [18537] 18537,89 unequal: No Solution Exploring Operation: 167-111=56, Resulting Numbers: [56] 56,89 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: 89:[88, 190], Operations: ['91+20=111', '79+111=190'] Exploring Operation: 88*190=16720, Resulting Numbers: [16720] 16720,89 unequal: No Solution Exploring Operation: 88+190=278, Resulting Numbers: [278] 278,89 unequal: No Solution Exploring Operation: 190-88=102, Resulting Numbers: [102] 102,89 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: 89:[111, 9], Operations: ['91+20=111', '88-79=9'] Exploring Operation: 111-9=102, Resulting Numbers: [102] 102,89 unequal: No Solution Exploring Operation: 111+9=120, Resulting Numbers: [120] 120,89 unequal: No Solution Exploring Operation: 111*9=999, Resulting Numbers: [999] 999,89 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 #0,4 Current State: 89:[91, 88, 59], Operations: ['79-20=59'] Exploring Operation: 88+59=147, Resulting Numbers: [91, 147] Generated Node #0,4,0: 89:[91, 147] Operation: 88+59=147 Exploring Operation: 91+59=150, Resulting Numbers: [88, 150] Generated Node #0,4,1: 89:[88, 150] Operation: 91+59=150 Exploring Operation: 88-59=29, Resulting Numbers: [91, 29] Generated Node #0,4,2: 89:[91, 29] Operation: 88-59=29 Exploring Operation: 91-59=32, Resulting Numbers: [88, 32] Generated Node #0,4,3: 89:[88, 32] Operation: 91-59=32 Exploring Operation: 91-88=3, Resulting Numbers: [59, 3] Generated Node #0,4,4: 89:[59, 3] Operation: 91-88=3 Start Sub Search at level 2: Moving to Node #0,4,3 Current State: 89:[88, 32], Operations: ['79-20=59', '91-59=32'] Exploring Operation: 88+32=120, Resulting Numbers: [120] 120,89 unequal: No Solution Exploring Operation: 88-32=56, Resulting Numbers: [56] 56,89 unequal: No Solution Exploring Operation: 88*32=2816, Resulting Numbers: [2816] 2816,89 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: 89:[91, 147], Operations: ['79-20=59', '88+59=147'] Exploring Operation: 91+147=238, Resulting Numbers: [238] 238,89 unequal: No Solution Exploring Operation: 91*147=13377, Resulting Numbers: [13377] 13377,89 unequal: No Solution Exploring Operation: 147-91=56, Resulting Numbers: [56] 56,89 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 #0,4,1 Current State: 89:[88, 150], Operations: ['79-20=59', '91+59=150'] Exploring Operation: 150-88=62, Resulting Numbers: [62] 62,89 unequal: No Solution Exploring Operation: 88*150=13200, Resulting Numbers: [13200] 13200,89 unequal: No Solution Exploring Operation: 88+150=238, Resulting Numbers: [238] 238,89 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: 89:[91, 29], Operations: ['79-20=59', '88-59=29'] Exploring Operation: 91*29=2639, Resulting Numbers: [2639] 2639,89 unequal: No Solution Exploring Operation: 91+29=120, Resulting Numbers: [120] 120,89 unequal: No Solution Exploring Operation: 91-29=62, Resulting Numbers: [62] 62,89 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: 89:[59, 3], Operations: ['79-20=59', '91-88=3'] Exploring Operation: 59*3=177, Resulting Numbers: [177] 177,89 unequal: No Solution Exploring Operation: 59+3=62, Resulting Numbers: [62] 62,89 unequal: No Solution Exploring Operation: 59-3=56, Resulting Numbers: [56] 56,89 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
sum_heuristic
[ 38, 11, 17, 85 ]
75
[ "38-11=27", "17+85=102", "102-27=75" ]
Current State: 75:[38, 11, 17, 85], Operations: [] Exploring Operation: 38-11=27, Resulting Numbers: [17, 85, 27] Generated Node #2: [17, 85, 27] from Operation: 38-11=27 Current State: 75:[17, 85, 27], Operations: ['38-11=27'] Exploring Operation: 17+85=102, Resulting Numbers: [27, 102] Generated Node #3: [27, 102] from Operation: 17+85=102 Current State: 75:[27, 102], Operations: ['38-11=27', '17+85=102'] Exploring Operation: 102-27=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
Current State: 75:[38, 11, 17, 85], Operations: [] Exploring Operation: 38-11=27, Resulting Numbers: [17, 85, 27] Generated Node #0,0: 75:[17, 85, 27] Operation: 38-11=27 Exploring Operation: 85/17=5, Resulting Numbers: [38, 11, 5] Generated Node #0,1: 75:[38, 11, 5] Operation: 85/17=5 Exploring Operation: 85-11=74, Resulting Numbers: [38, 17, 74] Generated Node #0,2: 75:[38, 17, 74] Operation: 85-11=74 Moving to Node #0,0 Current State: 75:[17, 85, 27], Operations: ['38-11=27'] Exploring Operation: 85/17=5, Resulting Numbers: [27, 5] Generated Node #0,0,0: 75:[27, 5] Operation: 85/17=5 Exploring Operation: 27-17=10, Resulting Numbers: [85, 10] Generated Node #0,0,1: 75:[85, 10] Operation: 27-17=10 Exploring Operation: 85-17=68, Resulting Numbers: [27, 68] Generated Node #0,0,2: 75:[27, 68] Operation: 85-17=68 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 75:[27, 5], Operations: ['38-11=27', '85/17=5'] Exploring Operation: 27-5=22, Resulting Numbers: [22] 22,75 unequal: No Solution Exploring Operation: 27*5=135, Resulting Numbers: [135] 135,75 unequal: No Solution Exploring Operation: 27+5=32, Resulting Numbers: [32] 32,75 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: 75:[27, 68], Operations: ['38-11=27', '85-17=68'] Exploring Operation: 68-27=41, Resulting Numbers: [41] 41,75 unequal: No Solution Exploring Operation: 27+68=95, Resulting Numbers: [95] 95,75 unequal: No Solution Exploring Operation: 27*68=1836, Resulting Numbers: [1836] 1836,75 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: 75:[85, 10], Operations: ['38-11=27', '27-17=10'] Exploring Operation: 85+10=95, Resulting Numbers: [95] 95,75 unequal: No Solution Exploring Operation: 85*10=850, Resulting Numbers: [850] 850,75 unequal: No Solution Exploring Operation: 85-10=75, Resulting Numbers: [75] 75,75 equal: Goal Reached Moving to Node #0 Current State: 75:[38, 11, 17, 85], Operations: [] Exploring Operation: 38-11=27, Resulting Numbers: [17, 85, 27] Generated Node #0,0: 75:[17, 85, 27] Operation: 38-11=27 Moving to Node #0,0 Current State: 75:[17, 85, 27], Operations: ['38-11=27'] Exploring Operation: 27-17=10, Resulting Numbers: [85, 10] Generated Node #0,0,1: 75:[85, 10] Operation: 27-17=10 Moving to Node #0,0,1 Current State: 75:[85, 10], Operations: ['38-11=27', '27-17=10'] Exploring Operation: 85-10=75, Resulting Numbers: [75] 75,75 equal: Goal Reached Exit Sub Search at level 1
0.983507
hs_3
sum_heuristic
[ 95, 44, 12, 98 ]
59
[ "95-44=51", "12+98=110", "110-51=59" ]
Current State: 59:[95, 44, 12, 98], Operations: [] Exploring Operation: 95-44=51, Resulting Numbers: [12, 98, 51] Generated Node #2: [12, 98, 51] from Operation: 95-44=51 Current State: 59:[12, 98, 51], Operations: ['95-44=51'] Exploring Operation: 12+98=110, Resulting Numbers: [51, 110] Generated Node #3: [51, 110] from Operation: 12+98=110 Current State: 59:[51, 110], Operations: ['95-44=51', '12+98=110'] Exploring Operation: 110-51=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
Current State: 59:[95, 44, 12, 98], Operations: [] Exploring Operation: 98-12=86, Resulting Numbers: [95, 44, 86] Generated Node #0,0: 59:[95, 44, 86] Operation: 98-12=86 Exploring Operation: 95-12=83, Resulting Numbers: [44, 98, 83] Generated Node #0,1: 59:[44, 98, 83] Operation: 95-12=83 Exploring Operation: 44+12=56, Resulting Numbers: [95, 98, 56] Generated Node #0,2: 59:[95, 98, 56] Operation: 44+12=56 Start Sub Search at level 1: Moving to Node #0,0 Current State: 59:[95, 44, 86], Operations: ['98-12=86'] Exploring Operation: 86-44=42, Resulting Numbers: [95, 42] Generated Node #0,0,0: 59:[95, 42] Operation: 86-44=42 Exploring Operation: 95-86=9, Resulting Numbers: [44, 9] Generated Node #0,0,1: 59:[44, 9] Operation: 95-86=9 Exploring Operation: 95-44=51, Resulting Numbers: [86, 51] Generated Node #0,0,2: 59:[86, 51] Operation: 95-44=51 Moving to Node #0,0,2 Current State: 59:[86, 51], Operations: ['98-12=86', '95-44=51'] Exploring Operation: 86-51=35, Resulting Numbers: [35] 35,59 unequal: No Solution Exploring Operation: 86*51=4386, Resulting Numbers: [4386] 4386,59 unequal: No Solution Exploring Operation: 86+51=137, Resulting Numbers: [137] 137,59 unequal: No Solution Moving to Node #0,0,0 Current State: 59:[95, 42], Operations: ['98-12=86', '86-44=42'] Exploring Operation: 95*42=3990, Resulting Numbers: [3990] 3990,59 unequal: No Solution Exploring Operation: 95+42=137, Resulting Numbers: [137] 137,59 unequal: No Solution Exploring Operation: 95-42=53, Resulting Numbers: [53] 53,59 unequal: No Solution Moving to Node #0,0,1 Current State: 59:[44, 9], Operations: ['98-12=86', '95-86=9'] Exploring Operation: 44-9=35, Resulting Numbers: [35] 35,59 unequal: No Solution Exploring Operation: 44*9=396, Resulting Numbers: [396] 396,59 unequal: No Solution Exploring Operation: 44+9=53, Resulting Numbers: [53] 53,59 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 #0,1 Current State: 59:[44, 98, 83], Operations: ['95-12=83'] Exploring Operation: 98-83=15, Resulting Numbers: [44, 15] Generated Node #0,1,0: 59:[44, 15] Operation: 98-83=15 Exploring Operation: 83-44=39, Resulting Numbers: [98, 39] Generated Node #0,1,1: 59:[98, 39] Operation: 83-44=39 Exploring Operation: 98-44=54, Resulting Numbers: [83, 54] Generated Node #0,1,2: 59:[83, 54] Operation: 98-44=54 Moving to Node #0,1,2 Current State: 59:[83, 54], Operations: ['95-12=83', '98-44=54'] Exploring Operation: 83*54=4482, Resulting Numbers: [4482] 4482,59 unequal: No Solution Exploring Operation: 83+54=137, Resulting Numbers: [137] 137,59 unequal: No Solution Exploring Operation: 83-54=29, Resulting Numbers: [29] 29,59 unequal: No Solution Moving to Node #0,1,0 Current State: 59:[44, 15], Operations: ['95-12=83', '98-83=15'] Exploring Operation: 44+15=59, Resulting Numbers: [59] 59,59 equal: Goal Reached Moving to Node #0 Current State: 59:[95, 44, 12, 98], Operations: [] Exploring Operation: 95-12=83, Resulting Numbers: [44, 98, 83] Generated Node #0,1: 59:[44, 98, 83] Operation: 95-12=83 Moving to Node #0,1 Current State: 59:[44, 98, 83], Operations: ['95-12=83'] Exploring Operation: 98-83=15, Resulting Numbers: [44, 15] Generated Node #0,1,0: 59:[44, 15] Operation: 98-83=15 Moving to Node #0,1,0 Current State: 59:[44, 15], Operations: ['95-12=83', '98-83=15'] Exploring Operation: 44+15=59, Resulting Numbers: [59] 59,59 equal: Goal Reached Exit Sub Search at level 1
0.977431
hs_3
sum_heuristic
[ 7, 87, 70, 2 ]
30
[ "87-7=80", "80/2=40", "70-40=30" ]
Current State: 30:[7, 87, 70, 2], Operations: [] Exploring Operation: 87-7=80, Resulting Numbers: [70, 2, 80] Generated Node #2: [70, 2, 80] from Operation: 87-7=80 Current State: 30:[70, 2, 80], Operations: ['87-7=80'] Exploring Operation: 80/2=40, Resulting Numbers: [70, 40] Generated Node #3: [70, 40] from Operation: 80/2=40 Current State: 30:[70, 40], Operations: ['87-7=80', '80/2=40'] Exploring Operation: 70-40=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
Current State: 30:[7, 87, 70, 2], Operations: [] Exploring Operation: 87-70=17, Resulting Numbers: [7, 2, 17] Generated Node #0,0: 30:[7, 2, 17] Operation: 87-70=17 Exploring Operation: 70/7=10, Resulting Numbers: [87, 2, 10] Generated Node #0,1: 30:[87, 2, 10] Operation: 70/7=10 Exploring Operation: 70/2=35, Resulting Numbers: [7, 87, 35] Generated Node #0,2: 30:[7, 87, 35] Operation: 70/2=35 Exploring Operation: 87-7=80, Resulting Numbers: [70, 2, 80] Generated Node #0,3: 30:[70, 2, 80] Operation: 87-7=80 Moving to Node #0,0 Current State: 30:[7, 2, 17], Operations: ['87-70=17'] Exploring Operation: 17-2=15, Resulting Numbers: [7, 15] Generated Node #0,0,0: 30:[7, 15] Operation: 17-2=15 Exploring Operation: 7-2=5, Resulting Numbers: [17, 5] Generated Node #0,0,1: 30:[17, 5] Operation: 7-2=5 Exploring Operation: 17-7=10, Resulting Numbers: [2, 10] Generated Node #0,0,2: 30:[2, 10] Operation: 17-7=10 Exploring Operation: 7+2=9, Resulting Numbers: [17, 9] Generated Node #0,0,3: 30:[17, 9] Operation: 7+2=9 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 30:[2, 10], Operations: ['87-70=17', '17-7=10'] Exploring Operation: 2*10=20, Resulting Numbers: [20] 20,30 unequal: No Solution Exploring Operation: 10-2=8, Resulting Numbers: [8] 8,30 unequal: No Solution Exploring Operation: 10/2=5, Resulting Numbers: [5] 5,30 unequal: No Solution Exploring Operation: 2+10=12, Resulting Numbers: [12] 12,30 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 #0,0,0 Current State: 30:[7, 15], Operations: ['87-70=17', '17-2=15'] Exploring Operation: 15-7=8, Resulting Numbers: [8] 8,30 unequal: No Solution Exploring Operation: 7*15=105, Resulting Numbers: [105] 105,30 unequal: No Solution Exploring Operation: 7+15=22, Resulting Numbers: [22] 22,30 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 #0,0,1 Current State: 30:[17, 5], Operations: ['87-70=17', '7-2=5'] Exploring Operation: 17-5=12, Resulting Numbers: [12] 12,30 unequal: No Solution Exploring Operation: 17+5=22, Resulting Numbers: [22] 22,30 unequal: No Solution Exploring Operation: 17*5=85, Resulting Numbers: [85] 85,30 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 #0,0,3 Current State: 30:[17, 9], Operations: ['87-70=17', '7+2=9'] Exploring Operation: 17-9=8, Resulting Numbers: [8] 8,30 unequal: No Solution Exploring Operation: 17+9=26, Resulting Numbers: [26] 26,30 unequal: No Solution Exploring Operation: 17*9=153, Resulting Numbers: [153] 153,30 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: 30:[87, 2, 10], Operations: ['70/7=10'] Exploring Operation: 87-2=85, Resulting Numbers: [10, 85] Generated Node #0,1,0: 30:[10, 85] Operation: 87-2=85 Exploring Operation: 87+2=89, Resulting Numbers: [10, 89] Generated Node #0,1,1: 30:[10, 89] Operation: 87+2=89 Exploring Operation: 10/2=5, Resulting Numbers: [87, 5] Generated Node #0,1,2: 30:[87, 5] Operation: 10/2=5 Exploring Operation: 87-10=77, Resulting Numbers: [2, 77] Generated Node #0,1,3: 30:[2, 77] Operation: 87-10=77 Moving to Node #0,2 Current State: 30:[7, 87, 35], Operations: ['70/2=35'] Exploring Operation: 35/7=5, Resulting Numbers: [87, 5] Generated Node #0,2,0: 30:[87, 5] Operation: 35/7=5 Exploring Operation: 35-7=28, Resulting Numbers: [87, 28] Generated Node #0,2,1: 30:[87, 28] Operation: 35-7=28 Exploring Operation: 87-7=80, Resulting Numbers: [35, 80] Generated Node #0,2,2: 30:[35, 80] Operation: 87-7=80 Exploring Operation: 87-35=52, Resulting Numbers: [7, 52] Generated Node #0,2,3: 30:[7, 52] Operation: 87-35=52 Moving to Node #0,3 Current State: 30:[70, 2, 80], Operations: ['87-7=80'] Exploring Operation: 70/2=35, Resulting Numbers: [80, 35] Generated Node #0,3,0: 30:[80, 35] Operation: 70/2=35 Exploring Operation: 80-70=10, Resulting Numbers: [2, 10] Generated Node #0,3,1: 30:[2, 10] Operation: 80-70=10 Exploring Operation: 80/2=40, Resulting Numbers: [70, 40] Generated Node #0,3,2: 30:[70, 40] Operation: 80/2=40 Exploring Operation: 70-2=68, Resulting Numbers: [80, 68] Generated Node #0,3,3: 30:[80, 68] Operation: 70-2=68 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 30:[2, 10], Operations: ['87-7=80', '80-70=10'] Exploring Operation: 2*10=20, Resulting Numbers: [20] 20,30 unequal: No Solution Exploring Operation: 2+10=12, Resulting Numbers: [12] 12,30 unequal: No Solution Exploring Operation: 10/2=5, Resulting Numbers: [5] 5,30 unequal: No Solution Exploring Operation: 10-2=8, Resulting Numbers: [8] 8,30 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 #0,3,2 Current State: 30:[70, 40], Operations: ['87-7=80', '80/2=40'] Exploring Operation: 70+40=110, Resulting Numbers: [110] 110,30 unequal: No Solution Exploring Operation: 70-40=30, Resulting Numbers: [30] 30,30 equal: Goal Reached Moving to Node #0 Current State: 30:[7, 87, 70, 2], Operations: [] Exploring Operation: 87-7=80, Resulting Numbers: [70, 2, 80] Generated Node #0,3: 30:[70, 2, 80] Operation: 87-7=80 Moving to Node #0,3 Current State: 30:[70, 2, 80], Operations: ['87-7=80'] Exploring Operation: 80/2=40, Resulting Numbers: [70, 40] Generated Node #0,3,2: 30:[70, 40] Operation: 80/2=40 Moving to Node #0,3,2 Current State: 30:[70, 40], Operations: ['87-7=80', '80/2=40'] Exploring Operation: 70-40=30, Resulting Numbers: [30] 30,30 equal: Goal Reached Exit Sub Search at level 1
0.962674
hs_4
sum_heuristic
[ 60, 51, 21, 37 ]
87
[ "51*37=1887", "1887-60=1827", "1827/21=87" ]
Current State: 87:[60, 51, 21, 37], Operations: [] Exploring Operation: 51*37=1887, Resulting Numbers: [60, 21, 1887] Generated Node #2: [60, 21, 1887] from Operation: 51*37=1887 Current State: 87:[60, 21, 1887], Operations: ['51*37=1887'] Exploring Operation: 1887-60=1827, Resulting Numbers: [21, 1827] Generated Node #3: [21, 1827] from Operation: 1887-60=1827 Current State: 87:[21, 1827], Operations: ['51*37=1887', '1887-60=1827'] Exploring Operation: 1827/21=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
Current State: 87:[60, 51, 21, 37], Operations: [] Exploring Operation: 51-21=30, Resulting Numbers: [60, 37, 30] Generated Node #0,0: 87:[60, 37, 30] Operation: 51-21=30 Exploring Operation: 60+21=81, Resulting Numbers: [51, 37, 81] Generated Node #0,1: 87:[51, 37, 81] Operation: 60+21=81 Exploring Operation: 60-37=23, Resulting Numbers: [51, 21, 23] Generated Node #0,2: 87:[51, 21, 23] Operation: 60-37=23 Exploring Operation: 60-51=9, Resulting Numbers: [21, 37, 9] Generated Node #0,3: 87:[21, 37, 9] Operation: 60-51=9 Moving to Node #0,3 Current State: 87:[21, 37, 9], Operations: ['60-51=9'] Exploring Operation: 21-9=12, Resulting Numbers: [37, 12] Generated Node #0,3,0: 87:[37, 12] Operation: 21-9=12 Exploring Operation: 37-21=16, Resulting Numbers: [9, 16] Generated Node #0,3,1: 87:[9, 16] Operation: 37-21=16 Exploring Operation: 21+9=30, Resulting Numbers: [37, 30] Generated Node #0,3,2: 87:[37, 30] Operation: 21+9=30 Exploring Operation: 37-9=28, Resulting Numbers: [21, 28] Generated Node #0,3,3: 87:[21, 28] Operation: 37-9=28 Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 87:[37, 30], Operations: ['60-51=9', '21+9=30'] Exploring Operation: 37+30=67, Resulting Numbers: [67] 67,87 unequal: No Solution Exploring Operation: 37*30=1110, Resulting Numbers: [1110] 1110,87 unequal: No Solution Exploring Operation: 37-30=7, Resulting Numbers: [7] 7,87 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:[21, 28], Operations: ['60-51=9', '37-9=28'] Exploring Operation: 21*28=588, Resulting Numbers: [588] 588,87 unequal: No Solution Exploring Operation: 28-21=7, Resulting Numbers: [7] 7,87 unequal: No Solution Exploring Operation: 21+28=49, Resulting Numbers: [49] 49,87 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:[37, 12], Operations: ['60-51=9', '21-9=12'] Exploring Operation: 37+12=49, Resulting Numbers: [49] 49,87 unequal: No Solution Exploring Operation: 37-12=25, Resulting Numbers: [25] 25,87 unequal: No Solution Exploring Operation: 37*12=444, Resulting Numbers: [444] 444,87 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 #0,3,1 Current State: 87:[9, 16], Operations: ['60-51=9', '37-21=16'] Exploring Operation: 16-9=7, Resulting Numbers: [7] 7,87 unequal: No Solution Exploring Operation: 9*16=144, Resulting Numbers: [144] 144,87 unequal: No Solution Exploring Operation: 9+16=25, Resulting Numbers: [25] 25,87 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:[51, 37, 81], Operations: ['60+21=81'] Exploring Operation: 51+37=88, Resulting Numbers: [81, 88] Generated Node #0,1,0: 87:[81, 88] Operation: 51+37=88 Exploring Operation: 81-37=44, Resulting Numbers: [51, 44] Generated Node #0,1,1: 87:[51, 44] Operation: 81-37=44 Exploring Operation: 81-51=30, Resulting Numbers: [37, 30] Generated Node #0,1,2: 87:[37, 30] Operation: 81-51=30 Exploring Operation: 51-37=14, Resulting Numbers: [81, 14] Generated Node #0,1,3: 87:[81, 14] Operation: 51-37=14 Moving to Node #0,0 Current State: 87:[60, 37, 30], Operations: ['51-21=30'] Exploring Operation: 60+37=97, Resulting Numbers: [30, 97] Generated Node #0,0,0: 87:[30, 97] Operation: 60+37=97 Exploring Operation: 60/30=2, Resulting Numbers: [37, 2] Generated Node #0,0,1: 87:[37, 2] Operation: 60/30=2 Exploring Operation: 60-30=30, Resulting Numbers: [37, 30] Generated Node #0,0,2: 87:[37, 30] Operation: 60-30=30 Exploring Operation: 60-37=23, Resulting Numbers: [30, 23] Generated Node #0,0,3: 87:[30, 23] Operation: 60-37=23 Moving to Node #0,2 Current State: 87:[51, 21, 23], Operations: ['60-37=23'] Exploring Operation: 51+23=74, Resulting Numbers: [21, 74] Generated Node #0,2,0: 87:[21, 74] Operation: 51+23=74 Exploring Operation: 51+21=72, Resulting Numbers: [23, 72] Generated Node #0,2,1: 87:[23, 72] Operation: 51+21=72 Exploring Operation: 51-23=28, Resulting Numbers: [21, 28] Generated Node #0,2,2: 87:[21, 28] Operation: 51-23=28 Exploring Operation: 51-21=30, Resulting Numbers: [23, 30] Generated Node #0,2,3: 87:[23, 30] Operation: 51-21=30 Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 87:[23, 30], Operations: ['60-37=23', '51-21=30'] Exploring Operation: 23+30=53, Resulting Numbers: [53] 53,87 unequal: No Solution Exploring Operation: 30-23=7, Resulting Numbers: [7] 7,87 unequal: No Solution Exploring Operation: 23*30=690, Resulting Numbers: [690] 690,87 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:[21, 28], Operations: ['60-37=23', '51-23=28'] Exploring Operation: 21+28=49, Resulting Numbers: [49] 49,87 unequal: No Solution Exploring Operation: 28-21=7, Resulting Numbers: [7] 7,87 unequal: No Solution Exploring Operation: 21*28=588, Resulting Numbers: [588] 588,87 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 #0,2,0 Current State: 87:[21, 74], Operations: ['60-37=23', '51+23=74'] Exploring Operation: 74-21=53, Resulting Numbers: [53] 53,87 unequal: No Solution Exploring Operation: 21+74=95, Resulting Numbers: [95] 95,87 unequal: No Solution Exploring Operation: 21*74=1554, Resulting Numbers: [1554] 1554,87 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:[23, 72], Operations: ['60-37=23', '51+21=72'] Exploring Operation: 72-23=49, Resulting Numbers: [49] 49,87 unequal: No Solution Exploring Operation: 23*72=1656, Resulting Numbers: [1656] 1656,87 unequal: No Solution Exploring Operation: 23+72=95, Resulting Numbers: [95] 95,87 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: 87:[81, 88], Operations: ['60+21=81', '51+37=88'] Exploring Operation: 81*88=7128, Resulting Numbers: [7128] 7128,87 unequal: No Solution Exploring Operation: 81+88=169, Resulting Numbers: [169] 169,87 unequal: No Solution Exploring Operation: 88-81=7, Resulting Numbers: [7] 7,87 unequal: No Solution Moving to Node #0,0,3 Current State: 87:[30, 23], Operations: ['51-21=30', '60-37=23'] Exploring Operation: 30+23=53, Resulting Numbers: [53] 53,87 unequal: No Solution Exploring Operation: 30-23=7, Resulting Numbers: [7] 7,87 unequal: No Solution Exploring Operation: 30*23=690, Resulting Numbers: [690] 690,87 unequal: No Solution Moving to Node #0,0,1 Current State: 87:[37, 2], Operations: ['51-21=30', '60/30=2'] Exploring Operation: 37*2=74, Resulting Numbers: [74] 74,87 unequal: No Solution Exploring Operation: 37-2=35, Resulting Numbers: [35] 35,87 unequal: No Solution Exploring Operation: 37+2=39, Resulting Numbers: [39] 39,87 unequal: No Solution Moving to Node #0,0,2 Current State: 87:[37, 30], Operations: ['51-21=30', '60-30=30'] Exploring Operation: 37*30=1110, Resulting Numbers: [1110] 1110,87 unequal: No Solution Exploring Operation: 37-30=7, Resulting Numbers: [7] 7,87 unequal: No Solution Exploring Operation: 37+30=67, Resulting Numbers: [67] 67,87 unequal: No Solution Moving to Node #0,1,2 Current State: 87:[37, 30], Operations: ['60+21=81', '81-51=30'] Exploring Operation: 37*30=1110, Resulting Numbers: [1110] 1110,87 unequal: No Solution Exploring Operation: 37+30=67, Resulting Numbers: [67] 67,87 unequal: No Solution Exploring Operation: 37-30=7, Resulting Numbers: [7] 7,87 unequal: No Solution Moving to Node #0,0,0 Current State: 87:[30, 97], Operations: ['51-21=30', '60+37=97'] Exploring Operation: 30+97=127, Resulting Numbers: [127] 127,87 unequal: No Solution Exploring Operation: 30*97=2910, Resulting Numbers: [2910] 2910,87 unequal: No Solution Exploring Operation: 97-30=67, Resulting Numbers: [67] 67,87 unequal: No Solution Moving to Node #0,1,3 Current State: 87:[81, 14], Operations: ['60+21=81', '51-37=14'] Exploring Operation: 81*14=1134, Resulting Numbers: [1134] 1134,87 unequal: No Solution Exploring Operation: 81-14=67, Resulting Numbers: [67] 67,87 unequal: No Solution Exploring Operation: 81+14=95, Resulting Numbers: [95] 95,87 unequal: No Solution Moving to Node #0,1,1 Current State: 87:[51, 44], Operations: ['60+21=81', '81-37=44'] Exploring Operation: 51*44=2244, Resulting Numbers: [2244] 2244,87 unequal: No Solution Exploring Operation: 51-44=7, Resulting Numbers: [7] 7,87 unequal: No Solution Exploring Operation: 51+44=95, Resulting Numbers: [95] 95,87 unequal: No Solution No solution found.
0
hs_4
sum_heuristic
[ 8, 65, 89, 41 ]
73
[ "65-8=57", "89+41=130", "130-57=73" ]
Current State: 73:[8, 65, 89, 41], Operations: [] Exploring Operation: 65-8=57, Resulting Numbers: [89, 41, 57] Generated Node #2: [89, 41, 57] from Operation: 65-8=57 Current State: 73:[89, 41, 57], Operations: ['65-8=57'] Exploring Operation: 89+41=130, Resulting Numbers: [57, 130] Generated Node #3: [57, 130] from Operation: 89+41=130 Current State: 73:[57, 130], Operations: ['65-8=57', '89+41=130'] Exploring Operation: 130-57=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
Current State: 73:[8, 65, 89, 41], Operations: [] Exploring Operation: 8+65=73, Resulting Numbers: [89, 41, 73] Generated Node #0,0: 73:[89, 41, 73] Operation: 8+65=73 Exploring Operation: 89-8=81, Resulting Numbers: [65, 41, 81] Generated Node #0,1: 73:[65, 41, 81] Operation: 89-8=81 Exploring Operation: 8+41=49, Resulting Numbers: [65, 89, 49] Generated Node #0,2: 73:[65, 89, 49] Operation: 8+41=49 Start Sub Search at level 1: Moving to Node #0,0 Current State: 73:[89, 41, 73], Operations: ['8+65=73'] Exploring Operation: 89-41=48, Resulting Numbers: [73, 48] Generated Node #0,0,0: 73:[73, 48] Operation: 89-41=48 Exploring Operation: 89+41=130, Resulting Numbers: [73, 130] Generated Node #0,0,1: 73:[73, 130] Operation: 89+41=130 Exploring Operation: 41+73=114, Resulting Numbers: [89, 114] Generated Node #0,0,2: 73:[89, 114] Operation: 41+73=114 Moving to Node #0,0,0 Current State: 73:[73, 48], Operations: ['8+65=73', '89-41=48'] Exploring Operation: 73+48=121, Resulting Numbers: [121] 121,73 unequal: No Solution Exploring Operation: 73-48=25, Resulting Numbers: [25] 25,73 unequal: No Solution Exploring Operation: 73*48=3504, Resulting Numbers: [3504] 3504,73 unequal: No Solution Moving to Node #0,0,1 Current State: 73:[73, 130], Operations: ['8+65=73', '89+41=130'] Exploring Operation: 73+130=203, Resulting Numbers: [203] 203,73 unequal: No Solution Exploring Operation: 73*130=9490, Resulting Numbers: [9490] 9490,73 unequal: No Solution Exploring Operation: 130-73=57, Resulting Numbers: [57] 57,73 unequal: No Solution Moving to Node #0,0,2 Current State: 73:[89, 114], Operations: ['8+65=73', '41+73=114'] Exploring Operation: 89*114=10146, Resulting Numbers: [10146] 10146,73 unequal: No Solution Exploring Operation: 114-89=25, Resulting Numbers: [25] 25,73 unequal: No Solution Exploring Operation: 89+114=203, Resulting Numbers: [203] 203,73 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 Current State: 73:[65, 41, 81], Operations: ['89-8=81'] Exploring Operation: 65-41=24, Resulting Numbers: [81, 24] Generated Node #0,1,0: 73:[81, 24] Operation: 65-41=24 Exploring Operation: 81-41=40, Resulting Numbers: [65, 40] Generated Node #0,1,1: 73:[65, 40] Operation: 81-41=40 Exploring Operation: 65+41=106, Resulting Numbers: [81, 106] Generated Node #0,1,2: 73:[81, 106] Operation: 65+41=106 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 73:[65, 40], Operations: ['89-8=81', '81-41=40'] Exploring Operation: 65+40=105, Resulting Numbers: [105] 105,73 unequal: No Solution Exploring Operation: 65-40=25, Resulting Numbers: [25] 25,73 unequal: No Solution Exploring Operation: 65*40=2600, Resulting Numbers: [2600] 2600,73 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: 73:[81, 106], Operations: ['89-8=81', '65+41=106'] Exploring Operation: 106-81=25, Resulting Numbers: [25] 25,73 unequal: No Solution Exploring Operation: 81*106=8586, Resulting Numbers: [8586] 8586,73 unequal: No Solution Exploring Operation: 81+106=187, Resulting Numbers: [187] 187,73 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: 73:[81, 24], Operations: ['89-8=81', '65-41=24'] Exploring Operation: 81-24=57, Resulting Numbers: [57] 57,73 unequal: No Solution Exploring Operation: 81*24=1944, Resulting Numbers: [1944] 1944,73 unequal: No Solution Exploring Operation: 81+24=105, Resulting Numbers: [105] 105,73 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: 73:[65, 89, 49], Operations: ['8+41=49'] Exploring Operation: 89-65=24, Resulting Numbers: [49, 24] Generated Node #0,2,0: 73:[49, 24] Operation: 89-65=24 Exploring Operation: 89-49=40, Resulting Numbers: [65, 40] Generated Node #0,2,1: 73:[65, 40] Operation: 89-49=40 Exploring Operation: 65+49=114, Resulting Numbers: [89, 114] Generated Node #0,2,2: 73:[89, 114] Operation: 65+49=114 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 73:[65, 40], Operations: ['8+41=49', '89-49=40'] Exploring Operation: 65+40=105, Resulting Numbers: [105] 105,73 unequal: No Solution Exploring Operation: 65-40=25, Resulting Numbers: [25] 25,73 unequal: No Solution Exploring Operation: 65*40=2600, Resulting Numbers: [2600] 2600,73 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: 73:[89, 114], Operations: ['8+41=49', '65+49=114'] Exploring Operation: 114-89=25, Resulting Numbers: [25] 25,73 unequal: No Solution Exploring Operation: 89*114=10146, Resulting Numbers: [10146] 10146,73 unequal: No Solution Exploring Operation: 89+114=203, Resulting Numbers: [203] 203,73 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: 73:[49, 24], Operations: ['8+41=49', '89-65=24'] Exploring Operation: 49*24=1176, Resulting Numbers: [1176] 1176,73 unequal: No Solution Exploring Operation: 49+24=73, Resulting Numbers: [73] 73,73 equal: Goal Reached Moving to Node #0 Current State: 73:[8, 65, 89, 41], Operations: [] Exploring Operation: 8+41=49, Resulting Numbers: [65, 89, 49] Generated Node #0,2: 73:[65, 89, 49] Operation: 8+41=49 Moving to Node #0,2 Current State: 73:[65, 89, 49], Operations: ['8+41=49'] Exploring Operation: 89-65=24, Resulting Numbers: [49, 24] Generated Node #0,2,0: 73:[49, 24] Operation: 89-65=24 Moving to Node #0,2,0 Current State: 73:[49, 24], Operations: ['8+41=49', '89-65=24'] Exploring Operation: 49+24=73, Resulting Numbers: [73] 73,73 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.963542
hs_3
mult_heuristic
[ 44, 17, 28, 97 ]
64
[ "44+17=61", "28+97=125", "125-61=64" ]
Current State: 64:[44, 17, 28, 97], Operations: [] Exploring Operation: 44+17=61, Resulting Numbers: [28, 97, 61] Generated Node #2: [28, 97, 61] from Operation: 44+17=61 Current State: 64:[28, 97, 61], Operations: ['44+17=61'] Exploring Operation: 28+97=125, Resulting Numbers: [61, 125] Generated Node #3: [61, 125] from Operation: 28+97=125 Current State: 64:[61, 125], Operations: ['44+17=61', '28+97=125'] Exploring Operation: 125-61=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
Current State: 64:[44, 17, 28, 97], Operations: [] Exploring Operation: 44-28=16, Resulting Numbers: [17, 97, 16] Generated Node #0,0: 64:[17, 97, 16] Operation: 44-28=16 Exploring Operation: 97-17=80, Resulting Numbers: [44, 28, 80] Generated Node #0,1: 64:[44, 28, 80] Operation: 97-17=80 Exploring Operation: 97-28=69, Resulting Numbers: [44, 17, 69] Generated Node #0,2: 64:[44, 17, 69] Operation: 97-28=69 Exploring Operation: 97-44=53, Resulting Numbers: [17, 28, 53] Generated Node #0,3: 64:[17, 28, 53] Operation: 97-44=53 Exploring Operation: 44+17=61, Resulting Numbers: [28, 97, 61] Generated Node #0,4: 64:[28, 97, 61] Operation: 44+17=61 Moving to Node #0,3 Current State: 64:[17, 28, 53], Operations: ['97-44=53'] Exploring Operation: 53-28=25, Resulting Numbers: [17, 25] Generated Node #0,3,0: 64:[17, 25] Operation: 53-28=25 Exploring Operation: 53-17=36, Resulting Numbers: [28, 36] Generated Node #0,3,1: 64:[28, 36] Operation: 53-17=36 Exploring Operation: 28-17=11, Resulting Numbers: [53, 11] Generated Node #0,3,2: 64:[53, 11] Operation: 28-17=11 Exploring Operation: 28+53=81, Resulting Numbers: [17, 81] Generated Node #0,3,3: 64:[17, 81] Operation: 28+53=81 Exploring Operation: 17+53=70, Resulting Numbers: [28, 70] Generated Node #0,3,4: 64:[28, 70] Operation: 17+53=70 Moving to Node #0,2 Current State: 64:[44, 17, 69], Operations: ['97-28=69'] Exploring Operation: 69-44=25, Resulting Numbers: [17, 25] Generated Node #0,2,0: 64:[17, 25] Operation: 69-44=25 Exploring Operation: 69-17=52, Resulting Numbers: [44, 52] Generated Node #0,2,1: 64:[44, 52] Operation: 69-17=52 Exploring Operation: 44+17=61, Resulting Numbers: [69, 61] Generated Node #0,2,2: 64:[69, 61] Operation: 44+17=61 Exploring Operation: 44-17=27, Resulting Numbers: [69, 27] Generated Node #0,2,3: 64:[69, 27] Operation: 44-17=27 Exploring Operation: 17+69=86, Resulting Numbers: [44, 86] Generated Node #0,2,4: 64:[44, 86] Operation: 17+69=86 Moving to Node #0,1 Current State: 64:[44, 28, 80], Operations: ['97-17=80'] Exploring Operation: 44-28=16, Resulting Numbers: [80, 16] Generated Node #0,1,0: 64:[80, 16] Operation: 44-28=16 Exploring Operation: 28+80=108, Resulting Numbers: [44, 108] Generated Node #0,1,1: 64:[44, 108] Operation: 28+80=108 Exploring Operation: 44+28=72, Resulting Numbers: [80, 72] Generated Node #0,1,2: 64:[80, 72] Operation: 44+28=72 Exploring Operation: 80-44=36, Resulting Numbers: [28, 36] Generated Node #0,1,3: 64:[28, 36] Operation: 80-44=36 Exploring Operation: 80-28=52, Resulting Numbers: [44, 52] Generated Node #0,1,4: 64:[44, 52] Operation: 80-28=52 Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 64:[28, 36], Operations: ['97-17=80', '80-44=36'] Exploring Operation: 28+36=64, Resulting Numbers: [64] 64,64 equal: Goal Reached Moving to Node #0 Current State: 64:[44, 17, 28, 97], Operations: [] Exploring Operation: 97-17=80, Resulting Numbers: [44, 28, 80] Generated Node #0,1: 64:[44, 28, 80] Operation: 97-17=80 Moving to Node #0,1 Current State: 64:[44, 28, 80], Operations: ['97-17=80'] Exploring Operation: 80-44=36, Resulting Numbers: [28, 36] Generated Node #0,1,3: 64:[28, 36] Operation: 80-44=36 Moving to Node #0,1,3 Current State: 64:[28, 36], Operations: ['97-17=80', '80-44=36'] Exploring Operation: 28+36=64, Resulting Numbers: [64] 64,64 equal: Goal Reached Exit Sub Search at level 1
0.978299
hs_5
sum_heuristic
[ 44, 40, 13, 24 ]
76
[ "44-40=4", "13*4=52", "24+52=76" ]
Current State: 76:[44, 40, 13, 24], Operations: [] Exploring Operation: 44-40=4, Resulting Numbers: [13, 24, 4] Generated Node #2: [13, 24, 4] from Operation: 44-40=4 Current State: 76:[13, 24, 4], Operations: ['44-40=4'] Exploring Operation: 13*4=52, Resulting Numbers: [24, 52] Generated Node #3: [24, 52] from Operation: 13*4=52 Current State: 76:[24, 52], Operations: ['44-40=4', '13*4=52'] Exploring Operation: 24+52=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
Current State: 76:[44, 40, 13, 24], Operations: [] Exploring Operation: 44-13=31, Resulting Numbers: [40, 24, 31] Generated Node #0,0: 76:[40, 24, 31] Operation: 44-13=31 Exploring Operation: 44-24=20, Resulting Numbers: [40, 13, 20] Generated Node #0,1: 76:[40, 13, 20] Operation: 44-24=20 Exploring Operation: 13+24=37, Resulting Numbers: [44, 40, 37] Generated Node #0,2: 76:[44, 40, 37] Operation: 13+24=37 Exploring Operation: 44-40=4, Resulting Numbers: [13, 24, 4] Generated Node #0,3: 76:[13, 24, 4] Operation: 44-40=4 Start Sub Search at level 1: Moving to Node #0,1 Current State: 76:[40, 13, 20], Operations: ['44-24=20'] Exploring Operation: 40/20=2, Resulting Numbers: [13, 2] Generated Node #0,1,0: 76:[13, 2] Operation: 40/20=2 Exploring Operation: 40-20=20, Resulting Numbers: [13, 20] Generated Node #0,1,1: 76:[13, 20] Operation: 40-20=20 Exploring Operation: 20-13=7, Resulting Numbers: [40, 7] Generated Node #0,1,2: 76:[40, 7] Operation: 20-13=7 Exploring Operation: 13+20=33, Resulting Numbers: [40, 33] Generated Node #0,1,3: 76:[40, 33] Operation: 13+20=33 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 76:[40, 7], Operations: ['44-24=20', '20-13=7'] Exploring Operation: 40-7=33, Resulting Numbers: [33] 33,76 unequal: No Solution Exploring Operation: 40+7=47, Resulting Numbers: [47] 47,76 unequal: No Solution Exploring Operation: 40*7=280, Resulting Numbers: [280] 280,76 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: 76:[13, 2], Operations: ['44-24=20', '40/20=2'] Exploring Operation: 13+2=15, Resulting Numbers: [15] 15,76 unequal: No Solution Exploring Operation: 13*2=26, Resulting Numbers: [26] 26,76 unequal: No Solution Exploring Operation: 13-2=11, Resulting Numbers: [11] 11,76 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: 76:[13, 20], Operations: ['44-24=20', '40-20=20'] Exploring Operation: 13*20=260, Resulting Numbers: [260] 260,76 unequal: No Solution Exploring Operation: 13+20=33, Resulting Numbers: [33] 33,76 unequal: No Solution Exploring Operation: 20-13=7, Resulting Numbers: [7] 7,76 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: 76:[40, 33], Operations: ['44-24=20', '13+20=33'] Exploring Operation: 40-33=7, Resulting Numbers: [7] 7,76 unequal: No Solution Exploring Operation: 40*33=1320, Resulting Numbers: [1320] 1320,76 unequal: No Solution Exploring Operation: 40+33=73, Resulting Numbers: [73] 73,76 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: 76:[44, 40, 37], Operations: ['13+24=37'] Exploring Operation: 44-40=4, Resulting Numbers: [37, 4] Generated Node #0,2,0: 76:[37, 4] Operation: 44-40=4 Exploring Operation: 40+37=77, Resulting Numbers: [44, 77] Generated Node #0,2,1: 76:[44, 77] Operation: 40+37=77 Exploring Operation: 44+37=81, Resulting Numbers: [40, 81] Generated Node #0,2,2: 76:[40, 81] Operation: 44+37=81 Exploring Operation: 44-37=7, Resulting Numbers: [40, 7] Generated Node #0,2,3: 76:[40, 7] Operation: 44-37=7 Moving to Node #0,2,0 Current State: 76:[37, 4], Operations: ['13+24=37', '44-40=4'] Exploring Operation: 37*4=148, Resulting Numbers: [148] 148,76 unequal: No Solution Exploring Operation: 37+4=41, Resulting Numbers: [41] 41,76 unequal: No Solution Exploring Operation: 37-4=33, Resulting Numbers: [33] 33,76 unequal: No Solution Moving to Node #0,2,3 Current State: 76:[40, 7], Operations: ['13+24=37', '44-37=7'] Exploring Operation: 40*7=280, Resulting Numbers: [280] 280,76 unequal: No Solution Exploring Operation: 40+7=47, Resulting Numbers: [47] 47,76 unequal: No Solution Exploring Operation: 40-7=33, Resulting Numbers: [33] 33,76 unequal: No Solution Moving to Node #0,2,2 Current State: 76:[40, 81], Operations: ['13+24=37', '44+37=81'] Exploring Operation: 40+81=121, Resulting Numbers: [121] 121,76 unequal: No Solution Exploring Operation: 81-40=41, Resulting Numbers: [41] 41,76 unequal: No Solution Exploring Operation: 40*81=3240, Resulting Numbers: [3240] 3240,76 unequal: No Solution Moving to Node #0,2,1 Current State: 76:[44, 77], Operations: ['13+24=37', '40+37=77'] Exploring Operation: 77-44=33, Resulting Numbers: [33] 33,76 unequal: No Solution Exploring Operation: 44+77=121, Resulting Numbers: [121] 121,76 unequal: No Solution Exploring Operation: 44*77=3388, Resulting Numbers: [3388] 3388,76 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: 76:[13, 24, 4], Operations: ['44-40=4'] Exploring Operation: 24-13=11, Resulting Numbers: [4, 11] Generated Node #0,3,0: 76:[4, 11] Operation: 24-13=11 Exploring Operation: 24-4=20, Resulting Numbers: [13, 20] Generated Node #0,3,1: 76:[13, 20] Operation: 24-4=20 Exploring Operation: 13+24=37, Resulting Numbers: [4, 37] Generated Node #0,3,2: 76:[4, 37] Operation: 13+24=37 Exploring Operation: 13+4=17, Resulting Numbers: [24, 17] Generated Node #0,3,3: 76:[24, 17] Operation: 13+4=17 Moving to Node #0,3,2 Current State: 76:[4, 37], Operations: ['44-40=4', '13+24=37'] Exploring Operation: 37-4=33, Resulting Numbers: [33] 33,76 unequal: No Solution Exploring Operation: 4*37=148, Resulting Numbers: [148] 148,76 unequal: No Solution Exploring Operation: 4+37=41, Resulting Numbers: [41] 41,76 unequal: No Solution Moving to Node #0,3,1 Current State: 76:[13, 20], Operations: ['44-40=4', '24-4=20'] Exploring Operation: 13*20=260, Resulting Numbers: [260] 260,76 unequal: No Solution Exploring Operation: 20-13=7, Resulting Numbers: [7] 7,76 unequal: No Solution Exploring Operation: 13+20=33, Resulting Numbers: [33] 33,76 unequal: No Solution Moving to Node #0,3,0 Current State: 76:[4, 11], Operations: ['44-40=4', '24-13=11'] Exploring Operation: 4+11=15, Resulting Numbers: [15] 15,76 unequal: No Solution Exploring Operation: 4*11=44, Resulting Numbers: [44] 44,76 unequal: No Solution Exploring Operation: 11-4=7, Resulting Numbers: [7] 7,76 unequal: No Solution Moving to Node #0,3,3 Current State: 76:[24, 17], Operations: ['44-40=4', '13+4=17'] Exploring Operation: 24*17=408, Resulting Numbers: [408] 408,76 unequal: No Solution Exploring Operation: 24-17=7, Resulting Numbers: [7] 7,76 unequal: No Solution Exploring Operation: 24+17=41, Resulting Numbers: [41] 41,76 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: 76:[40, 24, 31], Operations: ['44-13=31'] Exploring Operation: 40-31=9, Resulting Numbers: [24, 9] Generated Node #0,0,0: 76:[24, 9] Operation: 40-31=9 Exploring Operation: 31-24=7, Resulting Numbers: [40, 7] Generated Node #0,0,1: 76:[40, 7] Operation: 31-24=7 Exploring Operation: 40-24=16, Resulting Numbers: [31, 16] Generated Node #0,0,2: 76:[31, 16] Operation: 40-24=16 Exploring Operation: 40+31=71, Resulting Numbers: [24, 71] Generated Node #0,0,3: 76:[24, 71] Operation: 40+31=71 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 76:[40, 7], Operations: ['44-13=31', '31-24=7'] Exploring Operation: 40*7=280, Resulting Numbers: [280] 280,76 unequal: No Solution Exploring Operation: 40-7=33, Resulting Numbers: [33] 33,76 unequal: No Solution Exploring Operation: 40+7=47, Resulting Numbers: [47] 47,76 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: 76:[24, 9], Operations: ['44-13=31', '40-31=9'] Exploring Operation: 24-9=15, Resulting Numbers: [15] 15,76 unequal: No Solution Exploring Operation: 24+9=33, Resulting Numbers: [33] 33,76 unequal: No Solution Exploring Operation: 24*9=216, Resulting Numbers: [216] 216,76 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: 76:[31, 16], Operations: ['44-13=31', '40-24=16'] Exploring Operation: 31*16=496, Resulting Numbers: [496] 496,76 unequal: No Solution Exploring Operation: 31+16=47, Resulting Numbers: [47] 47,76 unequal: No Solution Exploring Operation: 31-16=15, Resulting Numbers: [15] 15,76 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: 76:[24, 71], Operations: ['44-13=31', '40+31=71'] Exploring Operation: 24*71=1704, Resulting Numbers: [1704] 1704,76 unequal: No Solution Exploring Operation: 71-24=47, Resulting Numbers: [47] 47,76 unequal: No Solution Exploring Operation: 24+71=95, Resulting Numbers: [95] 95,76 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
mult_heuristic
[ 9, 24, 7, 58 ]
70
[ "9-7=2", "24/2=12", "58+12=70" ]
Current State: 70:[9, 24, 7, 58], Operations: [] Exploring Operation: 9-7=2, Resulting Numbers: [24, 58, 2] Generated Node #2: [24, 58, 2] from Operation: 9-7=2 Current State: 70:[24, 58, 2], Operations: ['9-7=2'] Exploring Operation: 24/2=12, Resulting Numbers: [58, 12] Generated Node #3: [58, 12] from Operation: 24/2=12 Current State: 70:[58, 12], Operations: ['9-7=2', '24/2=12'] Exploring Operation: 58+12=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
Current State: 70:[9, 24, 7, 58], Operations: [] Exploring Operation: 9+58=67, Resulting Numbers: [24, 7, 67] Generated Node #0,0: 70:[24, 7, 67] Operation: 9+58=67 Exploring Operation: 24+58=82, Resulting Numbers: [9, 7, 82] Generated Node #0,1: 70:[9, 7, 82] Operation: 24+58=82 Exploring Operation: 24-9=15, Resulting Numbers: [7, 58, 15] Generated Node #0,2: 70:[7, 58, 15] Operation: 24-9=15 Exploring Operation: 58-24=34, Resulting Numbers: [9, 7, 34] Generated Node #0,3: 70:[9, 7, 34] Operation: 58-24=34 Exploring Operation: 9+24=33, Resulting Numbers: [7, 58, 33] Generated Node #0,4: 70:[7, 58, 33] Operation: 9+24=33 Moving to Node #0,3 Current State: 70:[9, 7, 34], Operations: ['58-24=34'] Exploring Operation: 9-7=2, Resulting Numbers: [34, 2] Generated Node #0,3,0: 70:[34, 2] Operation: 9-7=2 Exploring Operation: 9+7=16, Resulting Numbers: [34, 16] Generated Node #0,3,1: 70:[34, 16] Operation: 9+7=16 Exploring Operation: 7+34=41, Resulting Numbers: [9, 41] Generated Node #0,3,2: 70:[9, 41] Operation: 7+34=41 Exploring Operation: 9+34=43, Resulting Numbers: [7, 43] Generated Node #0,3,3: 70:[7, 43] Operation: 9+34=43 Exploring Operation: 9*7=63, Resulting Numbers: [34, 63] Generated Node #0,3,4: 70:[34, 63] Operation: 9*7=63 Moving to Node #0,1 Current State: 70:[9, 7, 82], Operations: ['24+58=82'] Exploring Operation: 9+7=16, Resulting Numbers: [82, 16] Generated Node #0,1,0: 70:[82, 16] Operation: 9+7=16 Exploring Operation: 9-7=2, Resulting Numbers: [82, 2] Generated Node #0,1,1: 70:[82, 2] Operation: 9-7=2 Exploring Operation: 9*7=63, Resulting Numbers: [82, 63] Generated Node #0,1,2: 70:[82, 63] Operation: 9*7=63 Exploring Operation: 82-9=73, Resulting Numbers: [7, 73] Generated Node #0,1,3: 70:[7, 73] Operation: 82-9=73 Exploring Operation: 82-7=75, Resulting Numbers: [9, 75] Generated Node #0,1,4: 70:[9, 75] Operation: 82-7=75 Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 70:[7, 73], Operations: ['24+58=82', '82-9=73'] Exploring Operation: 7+73=80, Resulting Numbers: [80] 80,70 unequal: No Solution Exploring Operation: 7*73=511, Resulting Numbers: [511] 511,70 unequal: No Solution Exploring Operation: 73-7=66, Resulting Numbers: [66] 66,70 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: 70:[9, 75], Operations: ['24+58=82', '82-7=75'] Exploring Operation: 9+75=84, Resulting Numbers: [84] 84,70 unequal: No Solution Exploring Operation: 75-9=66, Resulting Numbers: [66] 66,70 unequal: No Solution Exploring Operation: 9*75=675, Resulting Numbers: [675] 675,70 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: 70:[82, 2], Operations: ['24+58=82', '9-7=2'] Exploring Operation: 82/2=41, Resulting Numbers: [41] 41,70 unequal: No Solution Exploring Operation: 82*2=164, Resulting Numbers: [164] 164,70 unequal: No Solution Exploring Operation: 82-2=80, Resulting Numbers: [80] 80,70 unequal: No Solution Exploring Operation: 82+2=84, Resulting Numbers: [84] 84,70 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: 70:[82, 16], Operations: ['24+58=82', '9+7=16'] Exploring Operation: 82-16=66, Resulting Numbers: [66] 66,70 unequal: No Solution Exploring Operation: 82+16=98, Resulting Numbers: [98] 98,70 unequal: No Solution Exploring Operation: 82*16=1312, Resulting Numbers: [1312] 1312,70 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: 70:[82, 63], Operations: ['24+58=82', '9*7=63'] Exploring Operation: 82*63=5166, Resulting Numbers: [5166] 5166,70 unequal: No Solution Exploring Operation: 82-63=19, Resulting Numbers: [19] 19,70 unequal: No Solution Exploring Operation: 82+63=145, Resulting Numbers: [145] 145,70 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: 70:[24, 7, 67], Operations: ['9+58=67'] Exploring Operation: 24-7=17, Resulting Numbers: [67, 17] Generated Node #0,0,0: 70:[67, 17] Operation: 24-7=17 Exploring Operation: 67-7=60, Resulting Numbers: [24, 60] Generated Node #0,0,1: 70:[24, 60] Operation: 67-7=60 Exploring Operation: 24+7=31, Resulting Numbers: [67, 31] Generated Node #0,0,2: 70:[67, 31] Operation: 24+7=31 Exploring Operation: 67-24=43, Resulting Numbers: [7, 43] Generated Node #0,0,3: 70:[7, 43] Operation: 67-24=43 Exploring Operation: 7+67=74, Resulting Numbers: [24, 74] Generated Node #0,0,4: 70:[24, 74] Operation: 7+67=74 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 70:[67, 17], Operations: ['9+58=67', '24-7=17'] Exploring Operation: 67+17=84, Resulting Numbers: [84] 84,70 unequal: No Solution Exploring Operation: 67*17=1139, Resulting Numbers: [1139] 1139,70 unequal: No Solution Exploring Operation: 67-17=50, Resulting Numbers: [50] 50,70 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: 70:[67, 31], Operations: ['9+58=67', '24+7=31'] Exploring Operation: 67*31=2077, Resulting Numbers: [2077] 2077,70 unequal: No Solution Exploring Operation: 67-31=36, Resulting Numbers: [36] 36,70 unequal: No Solution Exploring Operation: 67+31=98, Resulting Numbers: [98] 98,70 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: 70:[7, 43], Operations: ['9+58=67', '67-24=43'] Exploring Operation: 43-7=36, Resulting Numbers: [36] 36,70 unequal: No Solution Exploring Operation: 7+43=50, Resulting Numbers: [50] 50,70 unequal: No Solution Exploring Operation: 7*43=301, Resulting Numbers: [301] 301,70 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 #0,0,4 Current State: 70:[24, 74], Operations: ['9+58=67', '7+67=74'] Exploring Operation: 24*74=1776, Resulting Numbers: [1776] 1776,70 unequal: No Solution Exploring Operation: 74-24=50, Resulting Numbers: [50] 50,70 unequal: No Solution Exploring Operation: 24+74=98, Resulting Numbers: [98] 98,70 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: 70:[24, 60], Operations: ['9+58=67', '67-7=60'] Exploring Operation: 24*60=1440, Resulting Numbers: [1440] 1440,70 unequal: No Solution Exploring Operation: 60-24=36, Resulting Numbers: [36] 36,70 unequal: No Solution Exploring Operation: 24+60=84, Resulting Numbers: [84] 84,70 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: 70:[7, 58, 15], Operations: ['24-9=15'] Exploring Operation: 58-7=51, Resulting Numbers: [15, 51] Generated Node #0,2,0: 70:[15, 51] Operation: 58-7=51 Exploring Operation: 7+58=65, Resulting Numbers: [15, 65] Generated Node #0,2,1: 70:[15, 65] Operation: 7+58=65 Exploring Operation: 15-7=8, Resulting Numbers: [58, 8] Generated Node #0,2,2: 70:[58, 8] Operation: 15-7=8 Exploring Operation: 58-15=43, Resulting Numbers: [7, 43] Generated Node #0,2,3: 70:[7, 43] Operation: 58-15=43 Exploring Operation: 58+15=73, Resulting Numbers: [7, 73] Generated Node #0,2,4: 70:[7, 73] Operation: 58+15=73 Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 70:[7, 73], Operations: ['24-9=15', '58+15=73'] Exploring Operation: 73-7=66, Resulting Numbers: [66] 66,70 unequal: No Solution Exploring Operation: 7+73=80, Resulting Numbers: [80] 80,70 unequal: No Solution Exploring Operation: 7*73=511, Resulting Numbers: [511] 511,70 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: 70:[15, 65], Operations: ['24-9=15', '7+58=65'] Exploring Operation: 15+65=80, Resulting Numbers: [80] 80,70 unequal: No Solution Exploring Operation: 15*65=975, Resulting Numbers: [975] 975,70 unequal: No Solution Exploring Operation: 65-15=50, Resulting Numbers: [50] 50,70 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: 70:[7, 43], Operations: ['24-9=15', '58-15=43'] Exploring Operation: 43-7=36, Resulting Numbers: [36] 36,70 unequal: No Solution Exploring Operation: 7*43=301, Resulting Numbers: [301] 301,70 unequal: No Solution Exploring Operation: 7+43=50, Resulting Numbers: [50] 50,70 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: 70:[58, 8], Operations: ['24-9=15', '15-7=8'] Exploring Operation: 58+8=66, Resulting Numbers: [66] 66,70 unequal: No Solution Exploring Operation: 58-8=50, Resulting Numbers: [50] 50,70 unequal: No Solution Exploring Operation: 58*8=464, Resulting Numbers: [464] 464,70 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: 70:[15, 51], Operations: ['24-9=15', '58-7=51'] Exploring Operation: 15*51=765, Resulting Numbers: [765] 765,70 unequal: No Solution Exploring Operation: 51-15=36, Resulting Numbers: [36] 36,70 unequal: No Solution Exploring Operation: 15+51=66, Resulting Numbers: [66] 66,70 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: 70:[7, 58, 33], Operations: ['9+24=33'] Exploring Operation: 58-7=51, Resulting Numbers: [33, 51] Generated Node #0,4,0: 70:[33, 51] Operation: 58-7=51 Exploring Operation: 7+58=65, Resulting Numbers: [33, 65] Generated Node #0,4,1: 70:[33, 65] Operation: 7+58=65 Exploring Operation: 58-33=25, Resulting Numbers: [7, 25] Generated Node #0,4,2: 70:[7, 25] Operation: 58-33=25 Exploring Operation: 7+33=40, Resulting Numbers: [58, 40] Generated Node #0,4,3: 70:[58, 40] Operation: 7+33=40 Exploring Operation: 33-7=26, Resulting Numbers: [58, 26] Generated Node #0,4,4: 70:[58, 26] Operation: 33-7=26 Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 70:[33, 65], Operations: ['9+24=33', '7+58=65'] Exploring Operation: 33*65=2145, Resulting Numbers: [2145] 2145,70 unequal: No Solution Exploring Operation: 33+65=98, Resulting Numbers: [98] 98,70 unequal: No Solution Exploring Operation: 65-33=32, Resulting Numbers: [32] 32,70 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: 70:[7, 25], Operations: ['9+24=33', '58-33=25'] Exploring Operation: 25-7=18, Resulting Numbers: [18] 18,70 unequal: No Solution Exploring Operation: 7*25=175, Resulting Numbers: [175] 175,70 unequal: No Solution Exploring Operation: 7+25=32, Resulting Numbers: [32] 32,70 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: 70:[58, 40], Operations: ['9+24=33', '7+33=40'] Exploring Operation: 58-40=18, Resulting Numbers: [18] 18,70 unequal: No Solution Exploring Operation: 58+40=98, Resulting Numbers: [98] 98,70 unequal: No Solution Exploring Operation: 58*40=2320, Resulting Numbers: [2320] 2320,70 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: 70:[33, 51], Operations: ['9+24=33', '58-7=51'] Exploring Operation: 51-33=18, Resulting Numbers: [18] 18,70 unequal: No Solution Exploring Operation: 33*51=1683, Resulting Numbers: [1683] 1683,70 unequal: No Solution Exploring Operation: 33+51=84, Resulting Numbers: [84] 84,70 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: 70:[58, 26], Operations: ['9+24=33', '33-7=26'] Exploring Operation: 58-26=32, Resulting Numbers: [32] 32,70 unequal: No Solution Exploring Operation: 58*26=1508, Resulting Numbers: [1508] 1508,70 unequal: No Solution Exploring Operation: 58+26=84, Resulting Numbers: [84] 84,70 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3,0 Current State: 70:[34, 2], Operations: ['58-24=34', '9-7=2'] Exploring Operation: 34*2=68, Resulting Numbers: [68] 68,70 unequal: No Solution Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,70 unequal: No Solution Exploring Operation: 34+2=36, Resulting Numbers: [36] 36,70 unequal: No Solution Exploring Operation: 34-2=32, Resulting Numbers: [32] 32,70 unequal: No Solution Moving to Node #0,3,1 Current State: 70:[34, 16], Operations: ['58-24=34', '9+7=16'] Exploring Operation: 34-16=18, Resulting Numbers: [18] 18,70 unequal: No Solution Exploring Operation: 34*16=544, Resulting Numbers: [544] 544,70 unequal: No Solution Exploring Operation: 34+16=50, Resulting Numbers: [50] 50,70 unequal: No Solution Moving to Node #0,3,2 Current State: 70:[9, 41], Operations: ['58-24=34', '7+34=41'] Exploring Operation: 9*41=369, Resulting Numbers: [369] 369,70 unequal: No Solution Exploring Operation: 9+41=50, Resulting Numbers: [50] 50,70 unequal: No Solution Exploring Operation: 41-9=32, Resulting Numbers: [32] 32,70 unequal: No Solution Moving to Node #0,3,3 Current State: 70:[7, 43], Operations: ['58-24=34', '9+34=43'] Exploring Operation: 7*43=301, Resulting Numbers: [301] 301,70 unequal: No Solution Exploring Operation: 43-7=36, Resulting Numbers: [36] 36,70 unequal: No Solution Exploring Operation: 7+43=50, Resulting Numbers: [50] 50,70 unequal: No Solution Moving to Node #0,3,4 Current State: 70:[34, 63], Operations: ['58-24=34', '9*7=63'] Exploring Operation: 34*63=2142, Resulting Numbers: [2142] 2142,70 unequal: No Solution Exploring Operation: 34+63=97, Resulting Numbers: [97] 97,70 unequal: No Solution Exploring Operation: 63-34=29, Resulting Numbers: [29] 29,70 unequal: No Solution No solution found.
0
hs_5
sum_heuristic
[ 46, 47, 53, 38 ]
91
[ "47-46=1", "53+38=91", "1*91=91" ]
Current State: 91:[46, 47, 53, 38], Operations: [] Exploring Operation: 47-46=1, Resulting Numbers: [53, 38, 1] Generated Node #2: [53, 38, 1] from Operation: 47-46=1 Current State: 91:[53, 38, 1], Operations: ['47-46=1'] Exploring Operation: 53+38=91, Resulting Numbers: [1, 91] Generated Node #3: [1, 91] from Operation: 53+38=91 Current State: 91:[1, 91], Operations: ['47-46=1', '53+38=91'] Exploring Operation: 1*91=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
Current State: 91:[46, 47, 53, 38], Operations: [] Exploring Operation: 46+47=93, Resulting Numbers: [53, 38, 93] Generated Node #0,0: 91:[53, 38, 93] Operation: 46+47=93 Exploring Operation: 53-47=6, Resulting Numbers: [46, 38, 6] Generated Node #0,1: 91:[46, 38, 6] Operation: 53-47=6 Exploring Operation: 53-46=7, Resulting Numbers: [47, 38, 7] Generated Node #0,2: 91:[47, 38, 7] Operation: 53-46=7 Moving to Node #0,1 Current State: 91:[46, 38, 6], Operations: ['53-47=6'] Exploring Operation: 46+38=84, Resulting Numbers: [6, 84] Generated Node #0,1,0: 91:[6, 84] Operation: 46+38=84 Exploring Operation: 46-6=40, Resulting Numbers: [38, 40] Generated Node #0,1,1: 91:[38, 40] Operation: 46-6=40 Exploring Operation: 46-38=8, Resulting Numbers: [6, 8] Generated Node #0,1,2: 91:[6, 8] Operation: 46-38=8 Moving to Node #0,2 Current State: 91:[47, 38, 7], Operations: ['53-46=7'] Exploring Operation: 47-7=40, Resulting Numbers: [38, 40] Generated Node #0,2,0: 91:[38, 40] Operation: 47-7=40 Exploring Operation: 47-38=9, Resulting Numbers: [7, 9] Generated Node #0,2,1: 91:[7, 9] Operation: 47-38=9 Exploring Operation: 47+38=85, Resulting Numbers: [7, 85] Generated Node #0,2,2: 91:[7, 85] Operation: 47+38=85 Moving to Node #0,0 Current State: 91:[53, 38, 93], Operations: ['46+47=93'] Exploring Operation: 93-53=40, Resulting Numbers: [38, 40] Generated Node #0,0,0: 91:[38, 40] Operation: 93-53=40 Exploring Operation: 53-38=15, Resulting Numbers: [93, 15] Generated Node #0,0,1: 91:[93, 15] Operation: 53-38=15 Exploring Operation: 53+38=91, Resulting Numbers: [93, 91] Generated Node #0,0,2: 91:[93, 91] Operation: 53+38=91 Moving to Node #0,1,2 Current State: 91:[6, 8], Operations: ['53-47=6', '46-38=8'] Exploring Operation: 6*8=48, Resulting Numbers: [48] 48,91 unequal: No Solution Exploring Operation: 8-6=2, Resulting Numbers: [2] 2,91 unequal: No Solution Exploring Operation: 6+8=14, Resulting Numbers: [14] 14,91 unequal: No Solution Moving to Node #0,0,2 Current State: 91:[93, 91], Operations: ['46+47=93', '53+38=91'] Exploring Operation: 93+91=184, Resulting Numbers: [184] 184,91 unequal: No Solution Exploring Operation: 93-91=2, Resulting Numbers: [2] 2,91 unequal: No Solution Exploring Operation: 93*91=8463, Resulting Numbers: [8463] 8463,91 unequal: No Solution Moving to Node #0,2,1 Current State: 91:[7, 9], Operations: ['53-46=7', '47-38=9'] Exploring Operation: 7+9=16, Resulting Numbers: [16] 16,91 unequal: No Solution Exploring Operation: 7*9=63, Resulting Numbers: [63] 63,91 unequal: No Solution Exploring Operation: 9-7=2, Resulting Numbers: [2] 2,91 unequal: No Solution Moving to Node #0,0,1 Current State: 91:[93, 15], Operations: ['46+47=93', '53-38=15'] Exploring Operation: 93*15=1395, Resulting Numbers: [1395] 1395,91 unequal: No Solution Exploring Operation: 93-15=78, Resulting Numbers: [78] 78,91 unequal: No Solution Exploring Operation: 93+15=108, Resulting Numbers: [108] 108,91 unequal: No Solution Moving to Node #0,2,2 Current State: 91:[7, 85], Operations: ['53-46=7', '47+38=85'] Exploring Operation: 85-7=78, Resulting Numbers: [78] 78,91 unequal: No Solution Exploring Operation: 7+85=92, Resulting Numbers: [92] 92,91 unequal: No Solution Exploring Operation: 7*85=595, Resulting Numbers: [595] 595,91 unequal: No Solution Moving to Node #0,1,0 Current State: 91:[6, 84], Operations: ['53-47=6', '46+38=84'] Exploring Operation: 84-6=78, Resulting Numbers: [78] 78,91 unequal: No Solution Exploring Operation: 6+84=90, Resulting Numbers: [90] 90,91 unequal: No Solution Exploring Operation: 84/6=14, Resulting Numbers: [14] 14,91 unequal: No Solution Moving to Node #0,1,1 Current State: 91:[38, 40], Operations: ['53-47=6', '46-6=40'] Exploring Operation: 40-38=2, Resulting Numbers: [2] 2,91 unequal: No Solution Exploring Operation: 38*40=1520, Resulting Numbers: [1520] 1520,91 unequal: No Solution Exploring Operation: 38+40=78, Resulting Numbers: [78] 78,91 unequal: No Solution Moving to Node #0,2,0 Current State: 91:[38, 40], Operations: ['53-46=7', '47-7=40'] Exploring Operation: 38+40=78, Resulting Numbers: [78] 78,91 unequal: No Solution Exploring Operation: 38*40=1520, Resulting Numbers: [1520] 1520,91 unequal: No Solution Exploring Operation: 40-38=2, Resulting Numbers: [2] 2,91 unequal: No Solution Moving to Node #0,0,0 Current State: 91:[38, 40], Operations: ['46+47=93', '93-53=40'] Exploring Operation: 40-38=2, Resulting Numbers: [2] 2,91 unequal: No Solution Exploring Operation: 38+40=78, Resulting Numbers: [78] 78,91 unequal: No Solution Exploring Operation: 38*40=1520, Resulting Numbers: [1520] 1520,91 unequal: No Solution No solution found.
0
hs_3
mult_heuristic
[ 41, 6, 49, 79 ]
31
[ "49-41=8", "6*8=48", "79-48=31" ]
Current State: 31:[41, 6, 49, 79], Operations: [] Exploring Operation: 49-41=8, Resulting Numbers: [6, 79, 8] Generated Node #2: [6, 79, 8] from Operation: 49-41=8 Current State: 31:[6, 79, 8], Operations: ['49-41=8'] Exploring Operation: 6*8=48, Resulting Numbers: [79, 48] Generated Node #3: [79, 48] from Operation: 6*8=48 Current State: 31:[79, 48], Operations: ['49-41=8', '6*8=48'] Exploring Operation: 79-48=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
Current State: 31:[41, 6, 49, 79], Operations: [] Exploring Operation: 79-41=38, Resulting Numbers: [6, 49, 38] Generated Node #0,0: 31:[6, 49, 38] Operation: 79-41=38 Exploring Operation: 79-49=30, Resulting Numbers: [41, 6, 30] Generated Node #0,1: 31:[41, 6, 30] Operation: 79-49=30 Moving to Node #0,1 Current State: 31:[41, 6, 30], Operations: ['79-49=30'] Exploring Operation: 41-6=35, Resulting Numbers: [30, 35] Generated Node #0,1,0: 31:[30, 35] Operation: 41-6=35 Exploring Operation: 6+30=36, Resulting Numbers: [41, 36] Generated Node #0,1,1: 31:[41, 36] Operation: 6+30=36 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 31:[30, 35], Operations: ['79-49=30', '41-6=35'] Exploring Operation: 35-30=5, Resulting Numbers: [5] 5,31 unequal: No Solution Exploring Operation: 30+35=65, Resulting Numbers: [65] 65,31 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: 31:[41, 36], Operations: ['79-49=30', '6+30=36'] Exploring Operation: 41+36=77, Resulting Numbers: [77] 77,31 unequal: No Solution Exploring Operation: 41-36=5, Resulting Numbers: [5] 5,31 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: 31:[6, 49, 38], Operations: ['79-41=38'] Exploring Operation: 49-6=43, Resulting Numbers: [38, 43] Generated Node #0,0,0: 31:[38, 43] Operation: 49-6=43 Exploring Operation: 38-6=32, Resulting Numbers: [49, 32] Generated Node #0,0,1: 31:[49, 32] Operation: 38-6=32 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 31:[38, 43], Operations: ['79-41=38', '49-6=43'] Exploring Operation: 43-38=5, Resulting Numbers: [5] 5,31 unequal: No Solution Exploring Operation: 38+43=81, Resulting Numbers: [81] 81,31 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: 31:[49, 32], Operations: ['79-41=38', '38-6=32'] Exploring Operation: 49+32=81, Resulting Numbers: [81] 81,31 unequal: No Solution Exploring Operation: 49-32=17, Resulting Numbers: [17] 17,31 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
[ 68, 40, 76, 37 ]
48
[ "68+76=144", "40-37=3", "144/3=48" ]
Current State: 48:[68, 40, 76, 37], Operations: [] Exploring Operation: 68+76=144, Resulting Numbers: [40, 37, 144] Generated Node #2: [40, 37, 144] from Operation: 68+76=144 Current State: 48:[40, 37, 144], Operations: ['68+76=144'] Exploring Operation: 40-37=3, Resulting Numbers: [144, 3] Generated Node #3: [144, 3] from Operation: 40-37=3 Current State: 48:[144, 3], Operations: ['68+76=144', '40-37=3'] Exploring Operation: 144/3=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
Current State: 48:[68, 40, 76, 37], Operations: [] Exploring Operation: 76-68=8, Resulting Numbers: [40, 37, 8] Generated Node #0,0: 48:[40, 37, 8] Operation: 76-68=8 Exploring Operation: 76-37=39, Resulting Numbers: [68, 40, 39] Generated Node #0,1: 48:[68, 40, 39] Operation: 76-37=39 Moving to Node #0,0 Current State: 48:[40, 37, 8], Operations: ['76-68=8'] Exploring Operation: 40+8=48, Resulting Numbers: [37, 48] Generated Node #0,0,0: 48:[37, 48] Operation: 40+8=48 Exploring Operation: 40-37=3, Resulting Numbers: [8, 3] Generated Node #0,0,1: 48:[8, 3] Operation: 40-37=3 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 48:[8, 3], Operations: ['76-68=8', '40-37=3'] Exploring Operation: 8*3=24, Resulting Numbers: [24] 24,48 unequal: No Solution Exploring Operation: 8+3=11, Resulting Numbers: [11] 11,48 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: 48:[37, 48], Operations: ['76-68=8', '40+8=48'] Exploring Operation: 37+48=85, Resulting Numbers: [85] 85,48 unequal: No Solution Exploring Operation: 48-37=11, Resulting Numbers: [11] 11,48 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: 48:[68, 40, 39], Operations: ['76-37=39'] Exploring Operation: 68-40=28, Resulting Numbers: [39, 28] Generated Node #0,1,0: 48:[39, 28] Operation: 68-40=28 Exploring Operation: 68-39=29, Resulting Numbers: [40, 29] Generated Node #0,1,1: 48:[40, 29] Operation: 68-39=29 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 48:[39, 28], Operations: ['76-37=39', '68-40=28'] Exploring Operation: 39-28=11, Resulting Numbers: [11] 11,48 unequal: No Solution Exploring Operation: 39+28=67, Resulting Numbers: [67] 67,48 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: 48:[40, 29], Operations: ['76-37=39', '68-39=29'] Exploring Operation: 40-29=11, Resulting Numbers: [11] 11,48 unequal: No Solution Exploring Operation: 40+29=69, Resulting Numbers: [69] 69,48 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
[ 64, 57, 18, 59 ]
44
[ "64+57=121", "18+59=77", "121-77=44" ]
Current State: 44:[64, 57, 18, 59], Operations: [] Exploring Operation: 64+57=121, Resulting Numbers: [18, 59, 121] Generated Node #2: [18, 59, 121] from Operation: 64+57=121 Current State: 44:[18, 59, 121], Operations: ['64+57=121'] Exploring Operation: 18+59=77, Resulting Numbers: [121, 77] Generated Node #3: [121, 77] from Operation: 18+59=77 Current State: 44:[121, 77], Operations: ['64+57=121', '18+59=77'] Exploring Operation: 121-77=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
Current State: 44:[64, 57, 18, 59], Operations: [] Exploring Operation: 64-59=5, Resulting Numbers: [57, 18, 5] Generated Node #0,0: 44:[57, 18, 5] Operation: 64-59=5 Moving to Node #0,0 Current State: 44:[57, 18, 5], Operations: ['64-59=5'] Exploring Operation: 57-18=39, Resulting Numbers: [5, 39] Generated Node #0,0,0: 44:[5, 39] Operation: 57-18=39 Moving to Node #0,0,0 Current State: 44:[5, 39], Operations: ['64-59=5', '57-18=39'] Exploring Operation: 5+39=44, Resulting Numbers: [44] 44,44 equal: Goal Reached Moving to Node #0 Current State: 44:[64, 57, 18, 59], Operations: [] Exploring Operation: 64-59=5, Resulting Numbers: [57, 18, 5] Generated Node #0,0: 44:[57, 18, 5] Operation: 64-59=5 Moving to Node #0,0 Current State: 44:[57, 18, 5], Operations: ['64-59=5'] Exploring Operation: 57-18=39, Resulting Numbers: [5, 39] Generated Node #0,0,0: 44:[5, 39] Operation: 57-18=39 Moving to Node #0,0,0 Current State: 44:[5, 39], Operations: ['64-59=5', '57-18=39'] Exploring Operation: 5+39=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
0.993924
hs_1
mult_heuristic
[ 96, 78, 14, 14 ]
56
[ "96-78=18", "18-14=4", "14*4=56" ]
Current State: 56:[96, 78, 14, 14], Operations: [] Exploring Operation: 96-78=18, Resulting Numbers: [14, 14, 18] Generated Node #2: [14, 14, 18] from Operation: 96-78=18 Current State: 56:[14, 14, 18], Operations: ['96-78=18'] Exploring Operation: 18-14=4, Resulting Numbers: [4] 4,56 equal: Goal Reached Exploring Operation: 14*4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
Current State: 56:[96, 78, 14, 14], Operations: [] Exploring Operation: 78-14=64, Resulting Numbers: [96, 14, 64] Generated Node #0,0: 56:[96, 14, 64] Operation: 78-14=64 Exploring Operation: 96-14=82, Resulting Numbers: [78, 14, 82] Generated Node #0,1: 56:[78, 14, 82] Operation: 96-14=82 Exploring Operation: 78-14=64, Resulting Numbers: [96, 14, 64] Generated Node #0,2: 56:[96, 14, 64] Operation: 78-14=64 Exploring Operation: 96-14=82, Resulting Numbers: [78, 14, 82] Generated Node #0,3: 56:[78, 14, 82] Operation: 96-14=82 Exploring Operation: 96-78=18, Resulting Numbers: [14, 14, 18] Generated Node #0,4: 56:[14, 14, 18] Operation: 96-78=18 Moving to Node #0,4 Current State: 56:[14, 14, 18], Operations: ['96-78=18'] Exploring Operation: 18-14=4, Resulting Numbers: [14, 4] Generated Node #0,4,0: 56:[14, 4] Operation: 18-14=4 Exploring Operation: 14+18=32, Resulting Numbers: [14, 32] Generated Node #0,4,1: 56:[14, 32] Operation: 14+18=32 Exploring Operation: 14+14=28, Resulting Numbers: [18, 28] Generated Node #0,4,2: 56:[18, 28] Operation: 14+14=28 Exploring Operation: 14+18=32, Resulting Numbers: [14, 32] Generated Node #0,4,3: 56:[14, 32] Operation: 14+18=32 Exploring Operation: 18-14=4, Resulting Numbers: [14, 4] Generated Node #0,4,4: 56:[14, 4] Operation: 18-14=4 Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 56:[14, 4], Operations: ['96-78=18', '18-14=4'] Exploring Operation: 14+4=18, Resulting Numbers: [18] 18,56 unequal: No Solution Exploring Operation: 14*4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached Moving to Node #0 Current State: 56:[96, 78, 14, 14], Operations: [] Exploring Operation: 96-78=18, Resulting Numbers: [14, 14, 18] Generated Node #0,4: 56:[14, 14, 18] Operation: 96-78=18 Moving to Node #0,4 Current State: 56:[14, 14, 18], Operations: ['96-78=18'] Exploring Operation: 18-14=4, Resulting Numbers: [14, 4] Generated Node #0,4,0: 56:[14, 4] Operation: 18-14=4 Moving to Node #0,4,0 Current State: 56:[14, 4], Operations: ['96-78=18', '18-14=4'] Exploring Operation: 14*4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached Exit Sub Search at level 1
0.986111
hs_5
mult_heuristic
[ 4, 3, 44, 32 ]
32
[ "4+32=36", "36/3=12", "44-12=32" ]
Current State: 32:[4, 3, 44, 32], Operations: [] Exploring Operation: 4+32=36, Resulting Numbers: [3, 44, 36] Generated Node #2: [3, 44, 36] from Operation: 4+32=36 Current State: 32:[3, 44, 36], Operations: ['4+32=36'] Exploring Operation: 36/3=12, Resulting Numbers: [44, 12] Generated Node #3: [44, 12] from Operation: 36/3=12 Current State: 32:[44, 12], Operations: ['4+32=36', '36/3=12'] Exploring Operation: 44-12=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
Current State: 32:[4, 3, 44, 32], Operations: [] Exploring Operation: 44/4=11, Resulting Numbers: [3, 32, 11] Generated Node #0,0: 32:[3, 32, 11] Operation: 44/4=11 Exploring Operation: 44-4=40, Resulting Numbers: [3, 32, 40] Generated Node #0,1: 32:[3, 32, 40] Operation: 44-4=40 Exploring Operation: 44-32=12, Resulting Numbers: [4, 3, 12] Generated Node #0,2: 32:[4, 3, 12] Operation: 44-32=12 Start Sub Search at level 1: Moving to Node #0,0 Current State: 32:[3, 32, 11], Operations: ['44/4=11'] Exploring Operation: 3+11=14, Resulting Numbers: [32, 14] Generated Node #0,0,0: 32:[32, 14] Operation: 3+11=14 Exploring Operation: 3*11=33, Resulting Numbers: [32, 33] Generated Node #0,0,1: 32:[32, 33] Operation: 3*11=33 Exploring Operation: 11-3=8, Resulting Numbers: [32, 8] Generated Node #0,0,2: 32:[32, 8] Operation: 11-3=8 Moving to Node #0,0,2 Current State: 32:[32, 8], Operations: ['44/4=11', '11-3=8'] Exploring Operation: 32/8=4, Resulting Numbers: [4] 4,32 unequal: No Solution Exploring Operation: 32-8=24, Resulting Numbers: [24] 24,32 unequal: No Solution Exploring Operation: 32+8=40, Resulting Numbers: [40] 40,32 unequal: No Solution Moving to Node #0,0,1 Current State: 32:[32, 33], Operations: ['44/4=11', '3*11=33'] Exploring Operation: 33-32=1, Resulting Numbers: [1] 1,32 unequal: No Solution Exploring Operation: 32*33=1056, Resulting Numbers: [1056] 1056,32 unequal: No Solution Exploring Operation: 32+33=65, Resulting Numbers: [65] 65,32 unequal: No Solution Moving to Node #0,0,0 Current State: 32:[32, 14], Operations: ['44/4=11', '3+11=14'] Exploring Operation: 32+14=46, Resulting Numbers: [46] 46,32 unequal: No Solution Exploring Operation: 32*14=448, Resulting Numbers: [448] 448,32 unequal: No Solution Exploring Operation: 32-14=18, Resulting Numbers: [18] 18,32 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: 32:[4, 3, 12], Operations: ['44-32=12'] Exploring Operation: 12-4=8, Resulting Numbers: [3, 8] Generated Node #0,2,0: 32:[3, 8] Operation: 12-4=8 Exploring Operation: 4+12=16, Resulting Numbers: [3, 16] Generated Node #0,2,1: 32:[3, 16] Operation: 4+12=16 Exploring Operation: 12/3=4, Resulting Numbers: [4, 4] Generated Node #0,2,2: 32:[4, 4] Operation: 12/3=4 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 32:[4, 4], Operations: ['44-32=12', '12/3=4'] Exploring Operation: 4*4=16, Resulting Numbers: [16] 16,32 unequal: No Solution Exploring Operation: 4+4=8, Resulting Numbers: [8] 8,32 unequal: No Solution Exploring Operation: 4/4=1, Resulting Numbers: [1] 1,32 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: 32:[3, 8], Operations: ['44-32=12', '12-4=8'] Exploring Operation: 8-3=5, Resulting Numbers: [5] 5,32 unequal: No Solution Exploring Operation: 3*8=24, Resulting Numbers: [24] 24,32 unequal: No Solution Exploring Operation: 3+8=11, Resulting Numbers: [11] 11,32 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: 32:[3, 16], Operations: ['44-32=12', '4+12=16'] Exploring Operation: 3*16=48, Resulting Numbers: [48] 48,32 unequal: No Solution Exploring Operation: 16-3=13, Resulting Numbers: [13] 13,32 unequal: No Solution Exploring Operation: 3+16=19, Resulting Numbers: [19] 19,32 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: 32:[3, 32, 40], Operations: ['44-4=40'] Exploring Operation: 40-32=8, Resulting Numbers: [3, 8] Generated Node #0,1,0: 32:[3, 8] Operation: 40-32=8 Exploring Operation: 3+32=35, Resulting Numbers: [40, 35] Generated Node #0,1,1: 32:[40, 35] Operation: 3+32=35 Exploring Operation: 40-3=37, Resulting Numbers: [32, 37] Generated Node #0,1,2: 32:[32, 37] Operation: 40-3=37 Moving to Node #0,1,0 Current State: 32:[3, 8], Operations: ['44-4=40', '40-32=8'] Exploring Operation: 8-3=5, Resulting Numbers: [5] 5,32 unequal: No Solution Exploring Operation: 3*8=24, Resulting Numbers: [24] 24,32 unequal: No Solution Exploring Operation: 3+8=11, Resulting Numbers: [11] 11,32 unequal: No Solution Moving to Node #0,1,2 Current State: 32:[32, 37], Operations: ['44-4=40', '40-3=37'] Exploring Operation: 32*37=1184, Resulting Numbers: [1184] 1184,32 unequal: No Solution Exploring Operation: 37-32=5, Resulting Numbers: [5] 5,32 unequal: No Solution Exploring Operation: 32+37=69, Resulting Numbers: [69] 69,32 unequal: No Solution Moving to Node #0,1,1 Current State: 32:[40, 35], Operations: ['44-4=40', '3+32=35'] Exploring Operation: 40-35=5, Resulting Numbers: [5] 5,32 unequal: No Solution Exploring Operation: 40+35=75, Resulting Numbers: [75] 75,32 unequal: No Solution Exploring Operation: 40*35=1400, Resulting Numbers: [1400] 1400,32 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
[ 30, 89, 32, 3 ]
11
[ "89-32=57", "57/3=19", "30-19=11" ]
Current State: 11:[30, 89, 32, 3], Operations: [] Exploring Operation: 89-32=57, Resulting Numbers: [30, 3, 57] Generated Node #2: [30, 3, 57] from Operation: 89-32=57 Current State: 11:[30, 3, 57], Operations: ['89-32=57'] Exploring Operation: 57/3=19, Resulting Numbers: [30, 19] Generated Node #3: [30, 19] from Operation: 57/3=19 Current State: 11:[30, 19], Operations: ['89-32=57', '57/3=19'] Exploring Operation: 30-19=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
Current State: 11:[30, 89, 32, 3], Operations: [] Exploring Operation: 89-32=57, Resulting Numbers: [30, 3, 57] Generated Node #0,0: 11:[30, 3, 57] Operation: 89-32=57 Start Sub Search at level 1: Moving to Node #0,0 Current State: 11:[30, 3, 57], Operations: ['89-32=57'] Exploring Operation: 57-30=27, Resulting Numbers: [3, 27] Generated Node #0,0,0: 11:[3, 27] Operation: 57-30=27 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 11:[3, 27], Operations: ['89-32=57', '57-30=27'] Exploring Operation: 27/3=9, Resulting Numbers: [9] 9,11 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
[ 25, 56, 87, 61 ]
59
[ "25+87=112", "112/56=2", "61-2=59" ]
Current State: 59:[25, 56, 87, 61], Operations: [] Exploring Operation: 25+87=112, Resulting Numbers: [56, 61, 112] Generated Node #2: [56, 61, 112] from Operation: 25+87=112 Current State: 59:[56, 61, 112], Operations: ['25+87=112'] Exploring Operation: 112/56=2, Resulting Numbers: [61, 2] Generated Node #3: [61, 2] from Operation: 112/56=2 Current State: 59:[61, 2], Operations: ['25+87=112', '112/56=2'] Exploring Operation: 61-2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
Current State: 59:[25, 56, 87, 61], Operations: [] Exploring Operation: 87-25=62, Resulting Numbers: [56, 61, 62] Generated Node #0,0: 59:[56, 61, 62] Operation: 87-25=62 Exploring Operation: 25+56=81, Resulting Numbers: [87, 61, 81] Generated Node #0,1: 59:[87, 61, 81] Operation: 25+56=81 Start Sub Search at level 1: Moving to Node #0,0 Current State: 59:[56, 61, 62], Operations: ['87-25=62'] Exploring Operation: 62-56=6, Resulting Numbers: [61, 6] Generated Node #0,0,0: 59:[61, 6] Operation: 62-56=6 Exploring Operation: 61-56=5, Resulting Numbers: [62, 5] Generated Node #0,0,1: 59:[62, 5] Operation: 61-56=5 Moving to Node #0,0,0 Current State: 59:[61, 6], Operations: ['87-25=62', '62-56=6'] Exploring Operation: 61-6=55, Resulting Numbers: [55] 55,59 unequal: No Solution Exploring Operation: 61+6=67, Resulting Numbers: [67] 67,59 unequal: No Solution Moving to Node #0,0,1 Current State: 59:[62, 5], Operations: ['87-25=62', '61-56=5'] Exploring Operation: 62+5=67, Resulting Numbers: [67] 67,59 unequal: No Solution Exploring Operation: 62-5=57, Resulting Numbers: [57] 57,59 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 #0,1 Current State: 59:[87, 61, 81], Operations: ['25+56=81'] Exploring Operation: 87-81=6, Resulting Numbers: [61, 6] Generated Node #0,1,0: 59:[61, 6] Operation: 87-81=6 Exploring Operation: 87-61=26, Resulting Numbers: [81, 26] Generated Node #0,1,1: 59:[81, 26] Operation: 87-61=26 Moving to Node #0,1,0 Current State: 59:[61, 6], Operations: ['25+56=81', '87-81=6'] Exploring Operation: 61+6=67, Resulting Numbers: [67] 67,59 unequal: No Solution Exploring Operation: 61-6=55, Resulting Numbers: [55] 55,59 unequal: No Solution Moving to Node #0,1,1 Current State: 59:[81, 26], Operations: ['25+56=81', '87-61=26'] Exploring Operation: 81+26=107, Resulting Numbers: [107] 107,59 unequal: No Solution Exploring Operation: 81-26=55, Resulting Numbers: [55] 55,59 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
[ 36, 10, 14, 9 ]
35
[ "36/9=4", "10*14=140", "140/4=35" ]
Current State: 35:[36, 10, 14, 9], Operations: [] Exploring Operation: 36/9=4, Resulting Numbers: [10, 14, 4] Generated Node #2: [10, 14, 4] from Operation: 36/9=4 Current State: 35:[10, 14, 4], Operations: ['36/9=4'] Exploring Operation: 10*14=140, Resulting Numbers: [4, 140] Generated Node #3: [4, 140] from Operation: 10*14=140 Current State: 35:[4, 140], Operations: ['36/9=4', '10*14=140'] Exploring Operation: 140/4=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
Current State: 35:[36, 10, 14, 9], Operations: [] Exploring Operation: 14-10=4, Resulting Numbers: [36, 9, 4] Generated Node #0,0: 35:[36, 9, 4] Operation: 14-10=4 Moving to Node #0,0 Current State: 35:[36, 9, 4], Operations: ['14-10=4'] Exploring Operation: 9-4=5, Resulting Numbers: [36, 5] Generated Node #0,0,0: 35:[36, 5] Operation: 9-4=5 Moving to Node #0,0,0 Current State: 35:[36, 5], Operations: ['14-10=4', '9-4=5'] Exploring Operation: 36-5=31, Resulting Numbers: [31] 31,35 unequal: No Solution No solution found.
0
hs_1
mult_heuristic
[ 4, 88, 84, 18 ]
19
[ "88-4=84", "84/84=1", "18+1=19" ]
Current State: 19:[4, 88, 84, 18], Operations: [] Exploring Operation: 88-4=84, Resulting Numbers: [84, 18, 84] Generated Node #2: [84, 18, 84] from Operation: 88-4=84 Current State: 19:[84, 18, 84], Operations: ['88-4=84'] Exploring Operation: 84/84=1, Resulting Numbers: [18, 1] Generated Node #3: [18, 1] from Operation: 84/84=1 Current State: 19:[18, 1], Operations: ['88-4=84', '84/84=1'] Exploring Operation: 18+1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
Current State: 19:[4, 88, 84, 18], Operations: [] Exploring Operation: 84/4=21, Resulting Numbers: [88, 18, 21] Generated Node #0,0: 19:[88, 18, 21] Operation: 84/4=21 Exploring Operation: 88/4=22, Resulting Numbers: [84, 18, 22] Generated Node #0,1: 19:[84, 18, 22] Operation: 88/4=22 Exploring Operation: 88-84=4, Resulting Numbers: [4, 18, 4] Generated Node #0,2: 19:[4, 18, 4] Operation: 88-84=4 Exploring Operation: 88-4=84, Resulting Numbers: [84, 18, 84] Generated Node #0,3: 19:[84, 18, 84] Operation: 88-4=84 Moving to Node #0,2 Current State: 19:[4, 18, 4], Operations: ['88-84=4'] Exploring Operation: 18+4=22, Resulting Numbers: [4, 22] Generated Node #0,2,0: 19:[4, 22] Operation: 18+4=22 Exploring Operation: 4+18=22, Resulting Numbers: [4, 22] Generated Node #0,2,1: 19:[4, 22] Operation: 4+18=22 Exploring Operation: 4+4=8, Resulting Numbers: [18, 8] Generated Node #0,2,2: 19:[18, 8] Operation: 4+4=8 Exploring Operation: 4*4=16, Resulting Numbers: [18, 16] Generated Node #0,2,3: 19:[18, 16] Operation: 4*4=16 Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 19:[18, 16], Operations: ['88-84=4', '4*4=16'] Exploring Operation: 18+16=34, Resulting Numbers: [34] 34,19 unequal: No Solution Exploring Operation: 18*16=288, Resulting Numbers: [288] 288,19 unequal: No Solution Exploring Operation: 18-16=2, Resulting Numbers: [2] 2,19 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 #0,2,2 Current State: 19:[18, 8], Operations: ['88-84=4', '4+4=8'] Exploring Operation: 18+8=26, Resulting Numbers: [26] 26,19 unequal: No Solution Exploring Operation: 18*8=144, Resulting Numbers: [144] 144,19 unequal: No Solution Exploring Operation: 18-8=10, Resulting Numbers: [10] 10,19 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 #0,2,0 Current State: 19:[4, 22], Operations: ['88-84=4', '18+4=22'] Exploring Operation: 4+22=26, Resulting Numbers: [26] 26,19 unequal: No Solution Exploring Operation: 4*22=88, Resulting Numbers: [88] 88,19 unequal: No Solution Exploring Operation: 22-4=18, Resulting Numbers: [18] 18,19 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 #0,2,1 Current State: 19:[4, 22], Operations: ['88-84=4', '4+18=22'] Exploring Operation: 4*22=88, Resulting Numbers: [88] 88,19 unequal: No Solution Exploring Operation: 22-4=18, Resulting Numbers: [18] 18,19 unequal: No Solution Exploring Operation: 4+22=26, Resulting Numbers: [26] 26,19 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: 19:[84, 18, 22], Operations: ['88/4=22'] Exploring Operation: 84-22=62, Resulting Numbers: [18, 62] Generated Node #0,1,0: 19:[18, 62] Operation: 84-22=62 Exploring Operation: 84-18=66, Resulting Numbers: [22, 66] Generated Node #0,1,1: 19:[22, 66] Operation: 84-18=66 Exploring Operation: 22-18=4, Resulting Numbers: [84, 4] Generated Node #0,1,2: 19:[84, 4] Operation: 22-18=4 Exploring Operation: 84+18=102, Resulting Numbers: [22, 102] Generated Node #0,1,3: 19:[22, 102] Operation: 84+18=102 Moving to Node #0,0 Current State: 19:[88, 18, 21], Operations: ['84/4=21'] Exploring Operation: 88-18=70, Resulting Numbers: [21, 70] Generated Node #0,0,0: 19:[21, 70] Operation: 88-18=70 Exploring Operation: 21-18=3, Resulting Numbers: [88, 3] Generated Node #0,0,1: 19:[88, 3] Operation: 21-18=3 Exploring Operation: 88-21=67, Resulting Numbers: [18, 67] Generated Node #0,0,2: 19:[18, 67] Operation: 88-21=67 Exploring Operation: 88+18=106, Resulting Numbers: [21, 106] Generated Node #0,0,3: 19:[21, 106] Operation: 88+18=106 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 19:[18, 67], Operations: ['84/4=21', '88-21=67'] Exploring Operation: 67-18=49, Resulting Numbers: [49] 49,19 unequal: No Solution Exploring Operation: 18*67=1206, Resulting Numbers: [1206] 1206,19 unequal: No Solution Exploring Operation: 18+67=85, Resulting Numbers: [85] 85,19 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 #0,0,0 Current State: 19:[21, 70], Operations: ['84/4=21', '88-18=70'] Exploring Operation: 21*70=1470, Resulting Numbers: [1470] 1470,19 unequal: No Solution Exploring Operation: 21+70=91, Resulting Numbers: [91] 91,19 unequal: No Solution Exploring Operation: 70-21=49, Resulting Numbers: [49] 49,19 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 #0,0,1 Current State: 19:[88, 3], Operations: ['84/4=21', '21-18=3'] Exploring Operation: 88+3=91, Resulting Numbers: [91] 91,19 unequal: No Solution Exploring Operation: 88-3=85, Resulting Numbers: [85] 85,19 unequal: No Solution Exploring Operation: 88*3=264, Resulting Numbers: [264] 264,19 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 #0,0,3 Current State: 19:[21, 106], Operations: ['84/4=21', '88+18=106'] Exploring Operation: 106-21=85, Resulting Numbers: [85] 85,19 unequal: No Solution Exploring Operation: 21*106=2226, Resulting Numbers: [2226] 2226,19 unequal: No Solution Exploring Operation: 21+106=127, Resulting Numbers: [127] 127,19 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: 19:[84, 18, 84], Operations: ['88-4=84'] Exploring Operation: 84-18=66, Resulting Numbers: [84, 66] Generated Node #0,3,0: 19:[84, 66] Operation: 84-18=66 Exploring Operation: 84-84=0, Resulting Numbers: [18, 0] Generated Node #0,3,1: 19:[18, 0] Operation: 84-84=0 Exploring Operation: 84/84=1, Resulting Numbers: [18, 1] Generated Node #0,3,2: 19:[18, 1] Operation: 84/84=1 Exploring Operation: 84-18=66, Resulting Numbers: [84, 66] Generated Node #0,3,3: 19:[84, 66] Operation: 84-18=66 Moving to Node #0,3,2 Current State: 19:[18, 1], Operations: ['88-4=84', '84/84=1'] Exploring Operation: 18-1=17, Resulting Numbers: [17] 17,19 unequal: No Solution Exploring Operation: 18*1=18, Resulting Numbers: [18] 18,19 unequal: No Solution Exploring Operation: 18/1=18, Resulting Numbers: [18] 18,19 unequal: No Solution Exploring Operation: 18+1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached Moving to Node #0 Current State: 19:[4, 88, 84, 18], Operations: [] Exploring Operation: 88-4=84, Resulting Numbers: [84, 18, 84] Generated Node #0,3: 19:[84, 18, 84] Operation: 88-4=84 Moving to Node #0,3 Current State: 19:[84, 18, 84], Operations: ['88-4=84'] Exploring Operation: 84/84=1, Resulting Numbers: [18, 1] Generated Node #0,3,2: 19:[18, 1] Operation: 84/84=1 Moving to Node #0,3,2 Current State: 19:[18, 1], Operations: ['88-4=84', '84/84=1'] Exploring Operation: 18+1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
0.954861
hs_4
mult_heuristic
[ 84, 50, 6, 54 ]
36
[ "50+6=56", "54*56=3024", "3024/84=36" ]
Current State: 36:[84, 50, 6, 54], Operations: [] Exploring Operation: 50+6=56, Resulting Numbers: [84, 54, 56] Generated Node #2: [84, 54, 56] from Operation: 50+6=56 Current State: 36:[84, 54, 56], Operations: ['50+6=56'] Exploring Operation: 54*56=3024, Resulting Numbers: [84, 3024] Generated Node #3: [84, 3024] from Operation: 54*56=3024 Current State: 36:[84, 3024], Operations: ['50+6=56', '54*56=3024'] Exploring Operation: 3024/84=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
Current State: 36:[84, 50, 6, 54], Operations: [] Exploring Operation: 84-50=34, Resulting Numbers: [6, 54, 34] Generated Node #0,0: 36:[6, 54, 34] Operation: 84-50=34 Moving to Node #0,0 Current State: 36:[6, 54, 34], Operations: ['84-50=34'] Exploring Operation: 54/6=9, Resulting Numbers: [34, 9] Generated Node #0,0,0: 36:[34, 9] Operation: 54/6=9 Moving to Node #0,0,0 Current State: 36:[34, 9], Operations: ['84-50=34', '54/6=9'] Exploring Operation: 34+9=43, Resulting Numbers: [43] 43,36 unequal: No Solution No solution found.
0
hs_1
mult_heuristic
[ 29, 87, 27, 75 ]
52
[ "87/29=3", "75/3=25", "27+25=52" ]
Current State: 52:[29, 87, 27, 75], Operations: [] Exploring Operation: 87/29=3, Resulting Numbers: [27, 75, 3] Generated Node #2: [27, 75, 3] from Operation: 87/29=3 Current State: 52:[27, 75, 3], Operations: ['87/29=3'] Exploring Operation: 75/3=25, Resulting Numbers: [27, 25] Generated Node #3: [27, 25] from Operation: 75/3=25 Current State: 52:[27, 25], Operations: ['87/29=3', '75/3=25'] Exploring Operation: 27+25=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
Current State: 52:[29, 87, 27, 75], Operations: [] Exploring Operation: 87-75=12, Resulting Numbers: [29, 27, 12] Generated Node #0,0: 52:[29, 27, 12] Operation: 87-75=12 Exploring Operation: 87-27=60, Resulting Numbers: [29, 75, 60] Generated Node #0,1: 52:[29, 75, 60] Operation: 87-27=60 Exploring Operation: 87/29=3, Resulting Numbers: [27, 75, 3] Generated Node #0,2: 52:[27, 75, 3] Operation: 87/29=3 Exploring Operation: 87-29=58, Resulting Numbers: [27, 75, 58] Generated Node #0,3: 52:[27, 75, 58] Operation: 87-29=58 Moving to Node #0,0 Current State: 52:[29, 27, 12], Operations: ['87-75=12'] Exploring Operation: 29-27=2, Resulting Numbers: [12, 2] Generated Node #0,0,0: 52:[12, 2] Operation: 29-27=2 Exploring Operation: 29+27=56, Resulting Numbers: [12, 56] Generated Node #0,0,1: 52:[12, 56] Operation: 29+27=56 Exploring Operation: 29-12=17, Resulting Numbers: [27, 17] Generated Node #0,0,2: 52:[27, 17] Operation: 29-12=17 Exploring Operation: 27-12=15, Resulting Numbers: [29, 15] Generated Node #0,0,3: 52:[29, 15] Operation: 27-12=15 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 52:[12, 2], Operations: ['87-75=12', '29-27=2'] Exploring Operation: 12+2=14, Resulting Numbers: [14] 14,52 unequal: No Solution Exploring Operation: 12-2=10, Resulting Numbers: [10] 10,52 unequal: No Solution Exploring Operation: 12/2=6, Resulting Numbers: [6] 6,52 unequal: No Solution Exploring Operation: 12*2=24, Resulting Numbers: [24] 24,52 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 #0,0,1 Current State: 52:[12, 56], Operations: ['87-75=12', '29+27=56'] Exploring Operation: 12*56=672, Resulting Numbers: [672] 672,52 unequal: No Solution Exploring Operation: 56-12=44, Resulting Numbers: [44] 44,52 unequal: No Solution Exploring Operation: 12+56=68, Resulting Numbers: [68] 68,52 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 #0,0,2 Current State: 52:[27, 17], Operations: ['87-75=12', '29-12=17'] Exploring Operation: 27*17=459, Resulting Numbers: [459] 459,52 unequal: No Solution Exploring Operation: 27-17=10, Resulting Numbers: [10] 10,52 unequal: No Solution Exploring Operation: 27+17=44, Resulting Numbers: [44] 44,52 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 #0,0,3 Current State: 52:[29, 15], Operations: ['87-75=12', '27-12=15'] Exploring Operation: 29+15=44, Resulting Numbers: [44] 44,52 unequal: No Solution Exploring Operation: 29-15=14, Resulting Numbers: [14] 14,52 unequal: No Solution Exploring Operation: 29*15=435, Resulting Numbers: [435] 435,52 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: 52:[27, 75, 3], Operations: ['87/29=3'] Exploring Operation: 75-27=48, Resulting Numbers: [3, 48] Generated Node #0,2,0: 52:[3, 48] Operation: 75-27=48 Exploring Operation: 75/3=25, Resulting Numbers: [27, 25] Generated Node #0,2,1: 52:[27, 25] Operation: 75/3=25 Exploring Operation: 27-3=24, Resulting Numbers: [75, 24] Generated Node #0,2,2: 52:[75, 24] Operation: 27-3=24 Exploring Operation: 75-3=72, Resulting Numbers: [27, 72] Generated Node #0,2,3: 52:[27, 72] Operation: 75-3=72 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 52:[27, 25], Operations: ['87/29=3', '75/3=25'] Exploring Operation: 27*25=675, Resulting Numbers: [675] 675,52 unequal: No Solution Exploring Operation: 27+25=52, Resulting Numbers: [52] 52,52 equal: Goal Reached Moving to Node #0 Current State: 52:[29, 87, 27, 75], Operations: [] Exploring Operation: 87/29=3, Resulting Numbers: [27, 75, 3] Generated Node #0,2: 52:[27, 75, 3] Operation: 87/29=3 Moving to Node #0,2 Current State: 52:[27, 75, 3], Operations: ['87/29=3'] Exploring Operation: 75/3=25, Resulting Numbers: [27, 25] Generated Node #0,2,1: 52:[27, 25] Operation: 75/3=25 Moving to Node #0,2,1 Current State: 52:[27, 25], Operations: ['87/29=3', '75/3=25'] Exploring Operation: 27+25=52, Resulting Numbers: [52] 52,52 equal: Goal Reached Exit Sub Search at level 1
0.97309
hs_4
sum_heuristic
[ 35, 22, 55, 2 ]
24
[ "55-35=20", "22*2=44", "44-20=24" ]
Current State: 24:[35, 22, 55, 2], Operations: [] Exploring Operation: 55-35=20, Resulting Numbers: [22, 2, 20] Generated Node #2: [22, 2, 20] from Operation: 55-35=20 Current State: 24:[22, 2, 20], Operations: ['55-35=20'] Exploring Operation: 22*2=44, Resulting Numbers: [20, 44] Generated Node #3: [20, 44] from Operation: 22*2=44 Current State: 24:[20, 44], Operations: ['55-35=20', '22*2=44'] Exploring Operation: 44-20=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
Current State: 24:[35, 22, 55, 2], Operations: [] Exploring Operation: 55-35=20, Resulting Numbers: [22, 2, 20] Generated Node #0,0: 24:[22, 2, 20] Operation: 55-35=20 Moving to Node #0,0 Current State: 24:[22, 2, 20], Operations: ['55-35=20'] Exploring Operation: 22-20=2, Resulting Numbers: [2, 2] Generated Node #0,0,0: 24:[2, 2] Operation: 22-20=2 Moving to Node #0,0,0 Current State: 24:[2, 2], Operations: ['55-35=20', '22-20=2'] Exploring Operation: 2+2=4, Resulting Numbers: [4] 4,24 unequal: No Solution No solution found.
0
hs_1
mult_heuristic
[ 58, 41, 24, 13 ]
96
[ "58-41=17", "17-13=4", "24*4=96" ]
Current State: 96:[58, 41, 24, 13], Operations: [] Exploring Operation: 58-41=17, Resulting Numbers: [24, 13, 17] Generated Node #2: [24, 13, 17] from Operation: 58-41=17 Current State: 96:[24, 13, 17], Operations: ['58-41=17'] Exploring Operation: 17-13=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 17-13=4 Current State: 96:[24, 4], Operations: ['58-41=17', '17-13=4'] Exploring Operation: 24*4=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
Current State: 96:[58, 41, 24, 13], Operations: [] Exploring Operation: 58+41=99, Resulting Numbers: [24, 13, 99] Generated Node #0,0: 96:[24, 13, 99] Operation: 58+41=99 Exploring Operation: 58-24=34, Resulting Numbers: [41, 13, 34] Generated Node #0,1: 96:[41, 13, 34] Operation: 58-24=34 Exploring Operation: 58-41=17, Resulting Numbers: [24, 13, 17] Generated Node #0,2: 96:[24, 13, 17] Operation: 58-41=17 Exploring Operation: 58-13=45, Resulting Numbers: [41, 24, 45] Generated Node #0,3: 96:[41, 24, 45] Operation: 58-13=45 Start Sub Search at level 1: Moving to Node #0,2 Current State: 96:[24, 13, 17], Operations: ['58-41=17'] Exploring Operation: 17-13=4, Resulting Numbers: [24, 4] Generated Node #0,2,0: 96:[24, 4] Operation: 17-13=4 Exploring Operation: 13+17=30, Resulting Numbers: [24, 30] Generated Node #0,2,1: 96:[24, 30] Operation: 13+17=30 Exploring Operation: 24-17=7, Resulting Numbers: [13, 7] Generated Node #0,2,2: 96:[13, 7] Operation: 24-17=7 Exploring Operation: 24-13=11, Resulting Numbers: [17, 11] Generated Node #0,2,3: 96:[17, 11] Operation: 24-13=11 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 96:[24, 4], Operations: ['58-41=17', '17-13=4'] Exploring Operation: 24*4=96, Resulting Numbers: [96] 96,96 equal: Goal Reached Moving to Node #0 Current State: 96:[58, 41, 24, 13], Operations: [] Exploring Operation: 58-41=17, Resulting Numbers: [24, 13, 17] Generated Node #0,2: 96:[24, 13, 17] Operation: 58-41=17 Moving to Node #0,2 Current State: 96:[24, 13, 17], Operations: ['58-41=17'] Exploring Operation: 17-13=4, Resulting Numbers: [24, 4] Generated Node #0,2,0: 96:[24, 4] Operation: 17-13=4 Moving to Node #0,2,0 Current State: 96:[24, 4], Operations: ['58-41=17', '17-13=4'] Exploring Operation: 24*4=96, Resulting Numbers: [96] 96,96 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.988715
hs_4
sum_heuristic
[ 19, 44, 85, 99 ]
66
[ "85-19=66", "44*99=4356", "4356/66=66" ]
Current State: 66:[19, 44, 85, 99], Operations: [] Exploring Operation: 85-19=66, Resulting Numbers: [44, 99, 66] Generated Node #2: [44, 99, 66] from Operation: 85-19=66 Current State: 66:[44, 99, 66], Operations: ['85-19=66'] Exploring Operation: 44*99=4356, Resulting Numbers: [66, 4356] Generated Node #3: [66, 4356] from Operation: 44*99=4356 Current State: 66:[66, 4356], Operations: ['85-19=66', '44*99=4356'] Exploring Operation: 4356/66=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
Current State: 66:[19, 44, 85, 99], Operations: [] Exploring Operation: 99-85=14, Resulting Numbers: [19, 44, 14] Generated Node #0,0: 66:[19, 44, 14] Operation: 99-85=14 Exploring Operation: 99-44=55, Resulting Numbers: [19, 85, 55] Generated Node #0,1: 66:[19, 85, 55] Operation: 99-44=55 Moving to Node #0,0 Current State: 66:[19, 44, 14], Operations: ['99-85=14'] Exploring Operation: 44-19=25, Resulting Numbers: [14, 25] Generated Node #0,0,0: 66:[14, 25] Operation: 44-19=25 Exploring Operation: 19+44=63, Resulting Numbers: [14, 63] Generated Node #0,0,1: 66:[14, 63] Operation: 19+44=63 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 66:[14, 25], Operations: ['99-85=14', '44-19=25'] Exploring Operation: 25-14=11, Resulting Numbers: [11] 11,66 unequal: No Solution Exploring Operation: 14+25=39, Resulting Numbers: [39] 39,66 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 #0,0,1 Current State: 66:[14, 63], Operations: ['99-85=14', '19+44=63'] Exploring Operation: 14+63=77, Resulting Numbers: [77] 77,66 unequal: No Solution Exploring Operation: 63-14=49, Resulting Numbers: [49] 49,66 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: 66:[19, 85, 55], Operations: ['99-44=55'] Exploring Operation: 85-19=66, Resulting Numbers: [55, 66] Generated Node #0,1,0: 66:[55, 66] Operation: 85-19=66 Exploring Operation: 85-55=30, Resulting Numbers: [19, 30] Generated Node #0,1,1: 66:[19, 30] Operation: 85-55=30 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 66:[19, 30], Operations: ['99-44=55', '85-55=30'] Exploring Operation: 30-19=11, Resulting Numbers: [11] 11,66 unequal: No Solution Exploring Operation: 19+30=49, Resulting Numbers: [49] 49,66 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 #0,1,0 Current State: 66:[55, 66], Operations: ['99-44=55', '85-19=66'] Exploring Operation: 55+66=121, Resulting Numbers: [121] 121,66 unequal: No Solution Exploring Operation: 66-55=11, Resulting Numbers: [11] 11,66 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
mult_heuristic
[ 18, 64, 10, 86 ]
94
[ "18-10=8", "64/8=8", "86+8=94" ]
Current State: 94:[18, 64, 10, 86], Operations: [] Exploring Operation: 18-10=8, Resulting Numbers: [64, 86, 8] Generated Node #2: [64, 86, 8] from Operation: 18-10=8 Current State: 94:[64, 86, 8], Operations: ['18-10=8'] Exploring Operation: 64/8=8, Resulting Numbers: [86, 8] Generated Node #3: [86, 8] from Operation: 64/8=8 Current State: 94:[86, 8], Operations: ['18-10=8', '64/8=8'] Exploring Operation: 86+8=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
Current State: 94:[18, 64, 10, 86], Operations: [] Exploring Operation: 18+64=82, Resulting Numbers: [10, 86, 82] Generated Node #0,0: 94:[10, 86, 82] Operation: 18+64=82 Exploring Operation: 18-10=8, Resulting Numbers: [64, 86, 8] Generated Node #0,1: 94:[64, 86, 8] Operation: 18-10=8 Exploring Operation: 64-18=46, Resulting Numbers: [10, 86, 46] Generated Node #0,2: 94:[10, 86, 46] Operation: 64-18=46 Moving to Node #0,2 Current State: 94:[10, 86, 46], Operations: ['64-18=46'] Exploring Operation: 10+86=96, Resulting Numbers: [46, 96] Generated Node #0,2,0: 94:[46, 96] Operation: 10+86=96 Exploring Operation: 10+46=56, Resulting Numbers: [86, 56] Generated Node #0,2,1: 94:[86, 56] Operation: 10+46=56 Exploring Operation: 86-46=40, Resulting Numbers: [10, 40] Generated Node #0,2,2: 94:[10, 40] Operation: 86-46=40 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 94:[46, 96], Operations: ['64-18=46', '10+86=96'] Exploring Operation: 46+96=142, Resulting Numbers: [142] 142,94 unequal: No Solution Exploring Operation: 46*96=4416, Resulting Numbers: [4416] 4416,94 unequal: No Solution Exploring Operation: 96-46=50, Resulting Numbers: [50] 50,94 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: 94:[10, 40], Operations: ['64-18=46', '86-46=40'] Exploring Operation: 40/10=4, Resulting Numbers: [4] 4,94 unequal: No Solution Exploring Operation: 10+40=50, Resulting Numbers: [50] 50,94 unequal: No Solution Exploring Operation: 40-10=30, Resulting Numbers: [30] 30,94 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: 94:[86, 56], Operations: ['64-18=46', '10+46=56'] Exploring Operation: 86*56=4816, Resulting Numbers: [4816] 4816,94 unequal: No Solution Exploring Operation: 86-56=30, Resulting Numbers: [30] 30,94 unequal: No Solution Exploring Operation: 86+56=142, Resulting Numbers: [142] 142,94 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: 94:[10, 86, 82], Operations: ['18+64=82'] Exploring Operation: 10+82=92, Resulting Numbers: [86, 92] Generated Node #0,0,0: 94:[86, 92] Operation: 10+82=92 Exploring Operation: 86-82=4, Resulting Numbers: [10, 4] Generated Node #0,0,1: 94:[10, 4] Operation: 86-82=4 Exploring Operation: 10+86=96, Resulting Numbers: [82, 96] Generated Node #0,0,2: 94:[82, 96] Operation: 10+86=96 Moving to Node #0,1 Current State: 94:[64, 86, 8], Operations: ['18-10=8'] Exploring Operation: 64/8=8, Resulting Numbers: [86, 8] Generated Node #0,1,0: 94:[86, 8] Operation: 64/8=8 Exploring Operation: 64-8=56, Resulting Numbers: [86, 56] Generated Node #0,1,1: 94:[86, 56] Operation: 64-8=56 Exploring Operation: 86+8=94, Resulting Numbers: [64, 94] Generated Node #0,1,2: 94:[64, 94] Operation: 86+8=94 Moving to Node #0,0,0 Current State: 94:[86, 92], Operations: ['18+64=82', '10+82=92'] Exploring Operation: 86+92=178, Resulting Numbers: [178] 178,94 unequal: No Solution Exploring Operation: 92-86=6, Resulting Numbers: [6] 6,94 unequal: No Solution Exploring Operation: 86*92=7912, Resulting Numbers: [7912] 7912,94 unequal: No Solution Moving to Node #0,0,1 Current State: 94:[10, 4], Operations: ['18+64=82', '86-82=4'] Exploring Operation: 10+4=14, Resulting Numbers: [14] 14,94 unequal: No Solution Exploring Operation: 10*4=40, Resulting Numbers: [40] 40,94 unequal: No Solution Exploring Operation: 10-4=6, Resulting Numbers: [6] 6,94 unequal: No Solution Moving to Node #0,0,2 Current State: 94:[82, 96], Operations: ['18+64=82', '10+86=96'] Exploring Operation: 82*96=7872, Resulting Numbers: [7872] 7872,94 unequal: No Solution Exploring Operation: 82+96=178, Resulting Numbers: [178] 178,94 unequal: No Solution Exploring Operation: 96-82=14, Resulting Numbers: [14] 14,94 unequal: No Solution Moving to Node #0,1,0 Current State: 94:[86, 8], Operations: ['18-10=8', '64/8=8'] Exploring Operation: 86*8=688, Resulting Numbers: [688] 688,94 unequal: No Solution Exploring Operation: 86-8=78, Resulting Numbers: [78] 78,94 unequal: No Solution Exploring Operation: 86+8=94, Resulting Numbers: [94] 94,94 equal: Goal Reached Moving to Node #0 Current State: 94:[18, 64, 10, 86], Operations: [] Exploring Operation: 18-10=8, Resulting Numbers: [64, 86, 8] Generated Node #0,1: 94:[64, 86, 8] Operation: 18-10=8 Moving to Node #0,1 Current State: 94:[64, 86, 8], Operations: ['18-10=8'] Exploring Operation: 64/8=8, Resulting Numbers: [86, 8] Generated Node #0,1,0: 94:[86, 8] Operation: 64/8=8 Moving to Node #0,1,0 Current State: 94:[86, 8], Operations: ['18-10=8', '64/8=8'] Exploring Operation: 86+8=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
0.967882
hs_3
sum_heuristic
[ 76, 38, 15, 2 ]
25
[ "76-38=38", "15-2=13", "38-13=25" ]
Current State: 25:[76, 38, 15, 2], Operations: [] Exploring Operation: 76-38=38, Resulting Numbers: [15, 2, 38] Generated Node #2: [15, 2, 38] from Operation: 76-38=38 Current State: 25:[15, 2, 38], Operations: ['76-38=38'] Exploring Operation: 15-2=13, Resulting Numbers: [38, 13] Generated Node #3: [38, 13] from Operation: 15-2=13 Current State: 25:[38, 13], Operations: ['76-38=38', '15-2=13'] Exploring Operation: 38-13=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
Current State: 25:[76, 38, 15, 2], Operations: [] Exploring Operation: 76-38=38, Resulting Numbers: [15, 2, 38] Generated Node #0,0: 25:[15, 2, 38] Operation: 76-38=38 Exploring Operation: 76/2=38, Resulting Numbers: [38, 15, 38] Generated Node #0,1: 25:[38, 15, 38] Operation: 76/2=38 Exploring Operation: 76/38=2, Resulting Numbers: [15, 2, 2] Generated Node #0,2: 25:[15, 2, 2] Operation: 76/38=2 Moving to Node #0,2 Current State: 25:[15, 2, 2], Operations: ['76/38=2'] Exploring Operation: 15+2=17, Resulting Numbers: [2, 17] Generated Node #0,2,0: 25:[2, 17] Operation: 15+2=17 Exploring Operation: 15*2=30, Resulting Numbers: [2, 30] Generated Node #0,2,1: 25:[2, 30] Operation: 15*2=30 Exploring Operation: 15*2=30, Resulting Numbers: [2, 30] Generated Node #0,2,2: 25:[2, 30] Operation: 15*2=30 Moving to Node #0,0 Current State: 25:[15, 2, 38], Operations: ['76-38=38'] Exploring Operation: 38-15=23, Resulting Numbers: [2, 23] Generated Node #0,0,0: 25:[2, 23] Operation: 38-15=23 Exploring Operation: 38/2=19, Resulting Numbers: [15, 19] Generated Node #0,0,1: 25:[15, 19] Operation: 38/2=19 Exploring Operation: 15*2=30, Resulting Numbers: [38, 30] Generated Node #0,0,2: 25:[38, 30] Operation: 15*2=30 Moving to Node #0,1 Current State: 25:[38, 15, 38], Operations: ['76/2=38'] Exploring Operation: 38-15=23, Resulting Numbers: [38, 23] Generated Node #0,1,0: 25:[38, 23] Operation: 38-15=23 Exploring Operation: 38/38=1, Resulting Numbers: [15, 1] Generated Node #0,1,1: 25:[15, 1] Operation: 38/38=1 Exploring Operation: 38-38=0, Resulting Numbers: [15, 0] Generated Node #0,1,2: 25:[15, 0] Operation: 38-38=0 Moving to Node #0,0,0 Current State: 25:[2, 23], Operations: ['76-38=38', '38-15=23'] Exploring Operation: 2+23=25, Resulting Numbers: [25] 25,25 equal: Goal Reached Moving to Node #0 Current State: 25:[76, 38, 15, 2], Operations: [] Exploring Operation: 76-38=38, Resulting Numbers: [15, 2, 38] Generated Node #0,0: 25:[15, 2, 38] Operation: 76-38=38 Moving to Node #0,0 Current State: 25:[15, 2, 38], Operations: ['76-38=38'] Exploring Operation: 38-15=23, Resulting Numbers: [2, 23] Generated Node #0,0,0: 25:[2, 23] Operation: 38-15=23 Moving to Node #0,0,0 Current State: 25:[2, 23], Operations: ['76-38=38', '38-15=23'] Exploring Operation: 2+23=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
0.985243
hs_3
mult_heuristic
[ 68, 75, 87, 50 ]
10
[ "87*50=4350", "4350/75=58", "68-58=10" ]
Current State: 10:[68, 75, 87, 50], Operations: [] Exploring Operation: 87*50=4350, Resulting Numbers: [68, 75, 4350] Generated Node #2: [68, 75, 4350] from Operation: 87*50=4350 Current State: 10:[68, 75, 4350], Operations: ['87*50=4350'] Exploring Operation: 4350/75=58, Resulting Numbers: [68, 58] Generated Node #3: [68, 58] from Operation: 4350/75=58 Current State: 10:[68, 58], Operations: ['87*50=4350', '4350/75=58'] Exploring Operation: 68-58=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
Current State: 10:[68, 75, 87, 50], Operations: [] Exploring Operation: 75-68=7, Resulting Numbers: [87, 50, 7] Generated Node #0,0: 10:[87, 50, 7] Operation: 75-68=7 Exploring Operation: 87-75=12, Resulting Numbers: [68, 50, 12] Generated Node #0,1: 10:[68, 50, 12] Operation: 87-75=12 Exploring Operation: 87-68=19, Resulting Numbers: [75, 50, 19] Generated Node #0,2: 10:[75, 50, 19] Operation: 87-68=19 Moving to Node #0,1 Current State: 10:[68, 50, 12], Operations: ['87-75=12'] Exploring Operation: 68-50=18, Resulting Numbers: [12, 18] Generated Node #0,1,0: 10:[12, 18] Operation: 68-50=18 Exploring Operation: 68-12=56, Resulting Numbers: [50, 56] Generated Node #0,1,1: 10:[50, 56] Operation: 68-12=56 Exploring Operation: 50-12=38, Resulting Numbers: [68, 38] Generated Node #0,1,2: 10:[68, 38] Operation: 50-12=38 Moving to Node #0,2 Current State: 10:[75, 50, 19], Operations: ['87-68=19'] Exploring Operation: 75-19=56, Resulting Numbers: [50, 56] Generated Node #0,2,0: 10:[50, 56] Operation: 75-19=56 Exploring Operation: 50-19=31, Resulting Numbers: [75, 31] Generated Node #0,2,1: 10:[75, 31] Operation: 50-19=31 Exploring Operation: 75-50=25, Resulting Numbers: [19, 25] Generated Node #0,2,2: 10:[19, 25] Operation: 75-50=25 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 10:[19, 25], Operations: ['87-68=19', '75-50=25'] Exploring Operation: 19*25=475, Resulting Numbers: [475] 475,10 unequal: No Solution Exploring Operation: 19+25=44, Resulting Numbers: [44] 44,10 unequal: No Solution Exploring Operation: 25-19=6, Resulting Numbers: [6] 6,10 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 #0,2,0 Current State: 10:[50, 56], Operations: ['87-68=19', '75-19=56'] Exploring Operation: 50+56=106, Resulting Numbers: [106] 106,10 unequal: No Solution Exploring Operation: 50*56=2800, Resulting Numbers: [2800] 2800,10 unequal: No Solution Exploring Operation: 56-50=6, Resulting Numbers: [6] 6,10 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 #0,2,1 Current State: 10:[75, 31], Operations: ['87-68=19', '50-19=31'] Exploring Operation: 75-31=44, Resulting Numbers: [44] 44,10 unequal: No Solution Exploring Operation: 75+31=106, Resulting Numbers: [106] 106,10 unequal: No Solution Exploring Operation: 75*31=2325, Resulting Numbers: [2325] 2325,10 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: 10:[87, 50, 7], Operations: ['75-68=7'] Exploring Operation: 87-7=80, Resulting Numbers: [50, 80] Generated Node #0,0,0: 10:[50, 80] Operation: 87-7=80 Exploring Operation: 50-7=43, Resulting Numbers: [87, 43] Generated Node #0,0,1: 10:[87, 43] Operation: 50-7=43 Exploring Operation: 87-50=37, Resulting Numbers: [7, 37] Generated Node #0,0,2: 10:[7, 37] Operation: 87-50=37 Moving to Node #0,1,0 Current State: 10:[12, 18], Operations: ['87-75=12', '68-50=18'] Exploring Operation: 18-12=6, Resulting Numbers: [6] 6,10 unequal: No Solution Exploring Operation: 12+18=30, Resulting Numbers: [30] 30,10 unequal: No Solution Exploring Operation: 12*18=216, Resulting Numbers: [216] 216,10 unequal: No Solution Moving to Node #0,0,2 Current State: 10:[7, 37], Operations: ['75-68=7', '87-50=37'] Exploring Operation: 7*37=259, Resulting Numbers: [259] 259,10 unequal: No Solution Exploring Operation: 7+37=44, Resulting Numbers: [44] 44,10 unequal: No Solution Exploring Operation: 37-7=30, Resulting Numbers: [30] 30,10 unequal: No Solution Moving to Node #0,1,2 Current State: 10:[68, 38], Operations: ['87-75=12', '50-12=38'] Exploring Operation: 68*38=2584, Resulting Numbers: [2584] 2584,10 unequal: No Solution Exploring Operation: 68+38=106, Resulting Numbers: [106] 106,10 unequal: No Solution Exploring Operation: 68-38=30, Resulting Numbers: [30] 30,10 unequal: No Solution Moving to Node #0,1,1 Current State: 10:[50, 56], Operations: ['87-75=12', '68-12=56'] Exploring Operation: 50+56=106, Resulting Numbers: [106] 106,10 unequal: No Solution Exploring Operation: 50*56=2800, Resulting Numbers: [2800] 2800,10 unequal: No Solution Exploring Operation: 56-50=6, Resulting Numbers: [6] 6,10 unequal: No Solution Moving to Node #0,0,1 Current State: 10:[87, 43], Operations: ['75-68=7', '50-7=43'] Exploring Operation: 87-43=44, Resulting Numbers: [44] 44,10 unequal: No Solution Exploring Operation: 87*43=3741, Resulting Numbers: [3741] 3741,10 unequal: No Solution Exploring Operation: 87+43=130, Resulting Numbers: [130] 130,10 unequal: No Solution Moving to Node #0,0,0 Current State: 10:[50, 80], Operations: ['75-68=7', '87-7=80'] Exploring Operation: 50*80=4000, Resulting Numbers: [4000] 4000,10 unequal: No Solution Exploring Operation: 80-50=30, Resulting Numbers: [30] 30,10 unequal: No Solution Exploring Operation: 50+80=130, Resulting Numbers: [130] 130,10 unequal: No Solution No solution found.
0
hs_3
mult_heuristic
[ 64, 36, 51, 94 ]
71
[ "64-36=28", "94-51=43", "28+43=71" ]
Current State: 71:[64, 36, 51, 94], Operations: [] Exploring Operation: 64-36=28, Resulting Numbers: [51, 94, 28] Generated Node #2: [51, 94, 28] from Operation: 64-36=28 Current State: 71:[51, 94, 28], Operations: ['64-36=28'] Exploring Operation: 94-51=43, Resulting Numbers: [28, 43] Generated Node #3: [28, 43] from Operation: 94-51=43 Current State: 71:[28, 43], Operations: ['64-36=28', '94-51=43'] Exploring Operation: 28+43=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
Current State: 71:[64, 36, 51, 94], Operations: [] Exploring Operation: 36+51=87, Resulting Numbers: [64, 94, 87] Generated Node #0,0: 71:[64, 94, 87] Operation: 36+51=87 Exploring Operation: 94-36=58, Resulting Numbers: [64, 51, 58] Generated Node #0,1: 71:[64, 51, 58] Operation: 94-36=58 Exploring Operation: 94-51=43, Resulting Numbers: [64, 36, 43] Generated Node #0,2: 71:[64, 36, 43] Operation: 94-51=43 Start Sub Search at level 1: Moving to Node #0,1 Current State: 71:[64, 51, 58], Operations: ['94-36=58'] Exploring Operation: 64+51=115, Resulting Numbers: [58, 115] Generated Node #0,1,0: 71:[58, 115] Operation: 64+51=115 Exploring Operation: 64-51=13, Resulting Numbers: [58, 13] Generated Node #0,1,1: 71:[58, 13] Operation: 64-51=13 Exploring Operation: 51+58=109, Resulting Numbers: [64, 109] Generated Node #0,1,2: 71:[64, 109] Operation: 51+58=109 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 71:[64, 109], Operations: ['94-36=58', '51+58=109'] Exploring Operation: 64+109=173, Resulting Numbers: [173] 173,71 unequal: No Solution Exploring Operation: 109-64=45, Resulting Numbers: [45] 45,71 unequal: No Solution Exploring Operation: 64*109=6976, Resulting Numbers: [6976] 6976,71 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: 71:[58, 115], Operations: ['94-36=58', '64+51=115'] Exploring Operation: 115-58=57, Resulting Numbers: [57] 57,71 unequal: No Solution Exploring Operation: 58+115=173, Resulting Numbers: [173] 173,71 unequal: No Solution Exploring Operation: 58*115=6670, Resulting Numbers: [6670] 6670,71 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: 71:[58, 13], Operations: ['94-36=58', '64-51=13'] Exploring Operation: 58*13=754, Resulting Numbers: [754] 754,71 unequal: No Solution Exploring Operation: 58+13=71, Resulting Numbers: [71] 71,71 equal: Goal Reached Moving to Node #0 Current State: 71:[64, 36, 51, 94], Operations: [] Exploring Operation: 94-36=58, Resulting Numbers: [64, 51, 58] Generated Node #0,1: 71:[64, 51, 58] Operation: 94-36=58 Moving to Node #0,1 Current State: 71:[64, 51, 58], Operations: ['94-36=58'] Exploring Operation: 64-51=13, Resulting Numbers: [58, 13] Generated Node #0,1,1: 71:[58, 13] Operation: 64-51=13 Moving to Node #0,1,1 Current State: 71:[58, 13], Operations: ['94-36=58', '64-51=13'] Exploring Operation: 58+13=71, Resulting Numbers: [71] 71,71 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.984375
hs_3
sum_heuristic
[ 6, 57, 45, 39 ]
41
[ "57-45=12", "12/6=2", "39+2=41" ]
Current State: 41:[6, 57, 45, 39], Operations: [] Exploring Operation: 57-45=12, Resulting Numbers: [6, 39, 12] Generated Node #2: [6, 39, 12] from Operation: 57-45=12 Current State: 41:[6, 39, 12], Operations: ['57-45=12'] Exploring Operation: 12/6=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 12/6=2 Current State: 41:[39, 2], Operations: ['57-45=12', '12/6=2'] Exploring Operation: 39+2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
Current State: 41:[6, 57, 45, 39], Operations: [] Exploring Operation: 45-6=39, Resulting Numbers: [57, 39, 39] Generated Node #0,0: 41:[57, 39, 39] Operation: 45-6=39 Exploring Operation: 57-6=51, Resulting Numbers: [45, 39, 51] Generated Node #0,1: 41:[45, 39, 51] Operation: 57-6=51 Exploring Operation: 6+39=45, Resulting Numbers: [57, 45, 45] Generated Node #0,2: 41:[57, 45, 45] Operation: 6+39=45 Exploring Operation: 6+57=63, Resulting Numbers: [45, 39, 63] Generated Node #0,3: 41:[45, 39, 63] Operation: 6+57=63 Exploring Operation: 6+45=51, Resulting Numbers: [57, 39, 51] Generated Node #0,4: 41:[57, 39, 51] Operation: 6+45=51 Moving to Node #0,1 Current State: 41:[45, 39, 51], Operations: ['57-6=51'] Exploring Operation: 39+51=90, Resulting Numbers: [45, 90] Generated Node #0,1,0: 41:[45, 90] Operation: 39+51=90 Exploring Operation: 45+39=84, Resulting Numbers: [51, 84] Generated Node #0,1,1: 41:[51, 84] Operation: 45+39=84 Exploring Operation: 51-39=12, Resulting Numbers: [45, 12] Generated Node #0,1,2: 41:[45, 12] Operation: 51-39=12 Exploring Operation: 51-45=6, Resulting Numbers: [39, 6] Generated Node #0,1,3: 41:[39, 6] Operation: 51-45=6 Exploring Operation: 45-39=6, Resulting Numbers: [51, 6] Generated Node #0,1,4: 41:[51, 6] Operation: 45-39=6 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 41:[45, 12], Operations: ['57-6=51', '51-39=12'] Exploring Operation: 45-12=33, Resulting Numbers: [33] 33,41 unequal: No Solution Exploring Operation: 45*12=540, Resulting Numbers: [540] 540,41 unequal: No Solution Exploring Operation: 45+12=57, Resulting Numbers: [57] 57,41 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:[39, 6], Operations: ['57-6=51', '51-45=6'] Exploring Operation: 39*6=234, Resulting Numbers: [234] 234,41 unequal: No Solution Exploring Operation: 39+6=45, Resulting Numbers: [45] 45,41 unequal: No Solution Exploring Operation: 39-6=33, Resulting Numbers: [33] 33,41 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:[51, 6], Operations: ['57-6=51', '45-39=6'] Exploring Operation: 51-6=45, Resulting Numbers: [45] 45,41 unequal: No Solution Exploring Operation: 51+6=57, Resulting Numbers: [57] 57,41 unequal: No Solution Exploring Operation: 51*6=306, Resulting Numbers: [306] 306,41 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 #0,1,0 Current State: 41:[45, 90], Operations: ['57-6=51', '39+51=90'] Exploring Operation: 90/45=2, Resulting Numbers: [2] 2,41 unequal: No Solution Exploring Operation: 45+90=135, Resulting Numbers: [135] 135,41 unequal: No Solution Exploring Operation: 90-45=45, Resulting Numbers: [45] 45,41 unequal: No Solution Exploring Operation: 45*90=4050, Resulting Numbers: [4050] 4050,41 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:[51, 84], Operations: ['57-6=51', '45+39=84'] Exploring Operation: 84-51=33, Resulting Numbers: [33] 33,41 unequal: No Solution Exploring Operation: 51*84=4284, Resulting Numbers: [4284] 4284,41 unequal: No Solution Exploring Operation: 51+84=135, Resulting Numbers: [135] 135,41 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:[57, 39, 39], Operations: ['45-6=39'] Exploring Operation: 39+39=78, Resulting Numbers: [57, 78] Generated Node #0,0,0: 41:[57, 78] Operation: 39+39=78 Exploring Operation: 57-39=18, Resulting Numbers: [39, 18] Generated Node #0,0,1: 41:[39, 18] Operation: 57-39=18 Exploring Operation: 57+39=96, Resulting Numbers: [39, 96] Generated Node #0,0,2: 41:[39, 96] Operation: 57+39=96 Exploring Operation: 39/39=1, Resulting Numbers: [57, 1] Generated Node #0,0,3: 41:[57, 1] Operation: 39/39=1 Exploring Operation: 57-39=18, Resulting Numbers: [39, 18] Generated Node #0,0,4: 41:[39, 18] Operation: 57-39=18 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 41:[39, 18], Operations: ['45-6=39', '57-39=18'] Exploring Operation: 39*18=702, Resulting Numbers: [702] 702,41 unequal: No Solution Exploring Operation: 39+18=57, Resulting Numbers: [57] 57,41 unequal: No Solution Exploring Operation: 39-18=21, Resulting Numbers: [21] 21,41 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 #0,0,4 Current State: 41:[39, 18], Operations: ['45-6=39', '57-39=18'] Exploring Operation: 39-18=21, Resulting Numbers: [21] 21,41 unequal: No Solution Exploring Operation: 39+18=57, Resulting Numbers: [57] 57,41 unequal: No Solution Exploring Operation: 39*18=702, Resulting Numbers: [702] 702,41 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 #0,0,0 Current State: 41:[57, 78], Operations: ['45-6=39', '39+39=78'] Exploring Operation: 57*78=4446, Resulting Numbers: [4446] 4446,41 unequal: No Solution Exploring Operation: 78-57=21, Resulting Numbers: [21] 21,41 unequal: No Solution Exploring Operation: 57+78=135, Resulting Numbers: [135] 135,41 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 #0,0,3 Current State: 41:[57, 1], Operations: ['45-6=39', '39/39=1'] Exploring Operation: 57-1=56, Resulting Numbers: [56] 56,41 unequal: No Solution Exploring Operation: 57/1=57, Resulting Numbers: [57] 57,41 unequal: No Solution Exploring Operation: 57+1=58, Resulting Numbers: [58] 58,41 unequal: No Solution Exploring Operation: 57*1=57, Resulting Numbers: [57] 57,41 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 #0,0,2 Current State: 41:[39, 96], Operations: ['45-6=39', '57+39=96'] Exploring Operation: 39+96=135, Resulting Numbers: [135] 135,41 unequal: No Solution Exploring Operation: 39*96=3744, Resulting Numbers: [3744] 3744,41 unequal: No Solution Exploring Operation: 96-39=57, Resulting Numbers: [57] 57,41 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:[57, 45, 45], Operations: ['6+39=45'] Exploring Operation: 45/45=1, Resulting Numbers: [57, 1] Generated Node #0,2,0: 41:[57, 1] Operation: 45/45=1 Exploring Operation: 45-45=0, Resulting Numbers: [57, 0] Generated Node #0,2,1: 41:[57, 0] Operation: 45-45=0 Exploring Operation: 57-45=12, Resulting Numbers: [45, 12] Generated Node #0,2,2: 41:[45, 12] Operation: 57-45=12 Exploring Operation: 57-45=12, Resulting Numbers: [45, 12] Generated Node #0,2,3: 41:[45, 12] Operation: 57-45=12 Exploring Operation: 57+45=102, Resulting Numbers: [45, 102] Generated Node #0,2,4: 41:[45, 102] Operation: 57+45=102 Moving to Node #0,3 Current State: 41:[45, 39, 63], Operations: ['6+57=63'] Exploring Operation: 63-39=24, Resulting Numbers: [45, 24] Generated Node #0,3,0: 41:[45, 24] Operation: 63-39=24 Exploring Operation: 63-45=18, Resulting Numbers: [39, 18] Generated Node #0,3,1: 41:[39, 18] Operation: 63-45=18 Exploring Operation: 39+63=102, Resulting Numbers: [45, 102] Generated Node #0,3,2: 41:[45, 102] Operation: 39+63=102 Exploring Operation: 45-39=6, Resulting Numbers: [63, 6] Generated Node #0,3,3: 41:[63, 6] Operation: 45-39=6 Exploring Operation: 45+39=84, Resulting Numbers: [63, 84] Generated Node #0,3,4: 41:[63, 84] Operation: 45+39=84 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 41:[45, 24], Operations: ['6+57=63', '63-39=24'] Exploring Operation: 45+24=69, Resulting Numbers: [69] 69,41 unequal: No Solution Exploring Operation: 45*24=1080, Resulting Numbers: [1080] 1080,41 unequal: No Solution Exploring Operation: 45-24=21, Resulting Numbers: [21] 21,41 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:[39, 18], Operations: ['6+57=63', '63-45=18'] Exploring Operation: 39+18=57, Resulting Numbers: [57] 57,41 unequal: No Solution Exploring Operation: 39*18=702, Resulting Numbers: [702] 702,41 unequal: No Solution Exploring Operation: 39-18=21, Resulting Numbers: [21] 21,41 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:[63, 6], Operations: ['6+57=63', '45-39=6'] Exploring Operation: 63*6=378, Resulting Numbers: [378] 378,41 unequal: No Solution Exploring Operation: 63-6=57, Resulting Numbers: [57] 57,41 unequal: No Solution Exploring Operation: 63+6=69, Resulting Numbers: [69] 69,41 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:[45, 102], Operations: ['6+57=63', '39+63=102'] Exploring Operation: 102-45=57, Resulting Numbers: [57] 57,41 unequal: No Solution Exploring Operation: 45*102=4590, Resulting Numbers: [4590] 4590,41 unequal: No Solution Exploring Operation: 45+102=147, Resulting Numbers: [147] 147,41 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 #0,3,4 Current State: 41:[63, 84], Operations: ['6+57=63', '45+39=84'] Exploring Operation: 63*84=5292, Resulting Numbers: [5292] 5292,41 unequal: No Solution Exploring Operation: 63+84=147, Resulting Numbers: [147] 147,41 unequal: No Solution Exploring Operation: 84-63=21, Resulting Numbers: [21] 21,41 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: 41:[57, 39, 51], Operations: ['6+45=51'] Exploring Operation: 57-39=18, Resulting Numbers: [51, 18] Generated Node #0,4,0: 41:[51, 18] Operation: 57-39=18 Exploring Operation: 57-51=6, Resulting Numbers: [39, 6] Generated Node #0,4,1: 41:[39, 6] Operation: 57-51=6 Exploring Operation: 51-39=12, Resulting Numbers: [57, 12] Generated Node #0,4,2: 41:[57, 12] Operation: 51-39=12 Exploring Operation: 39+51=90, Resulting Numbers: [57, 90] Generated Node #0,4,3: 41:[57, 90] Operation: 39+51=90 Exploring Operation: 57+39=96, Resulting Numbers: [51, 96] Generated Node #0,4,4: 41:[51, 96] Operation: 57+39=96 Moving to Node #0,2,2 Current State: 41:[45, 12], Operations: ['6+39=45', '57-45=12'] Exploring Operation: 45*12=540, Resulting Numbers: [540] 540,41 unequal: No Solution Exploring Operation: 45-12=33, Resulting Numbers: [33] 33,41 unequal: No Solution Exploring Operation: 45+12=57, Resulting Numbers: [57] 57,41 unequal: No Solution Moving to Node #0,4,0 Current State: 41:[51, 18], Operations: ['6+45=51', '57-39=18'] Exploring Operation: 51*18=918, Resulting Numbers: [918] 918,41 unequal: No Solution Exploring Operation: 51+18=69, Resulting Numbers: [69] 69,41 unequal: No Solution Exploring Operation: 51-18=33, Resulting Numbers: [33] 33,41 unequal: No Solution Moving to Node #0,2,3 Current State: 41:[45, 12], Operations: ['6+39=45', '57-45=12'] Exploring Operation: 45*12=540, Resulting Numbers: [540] 540,41 unequal: No Solution Exploring Operation: 45+12=57, Resulting Numbers: [57] 57,41 unequal: No Solution Exploring Operation: 45-12=33, Resulting Numbers: [33] 33,41 unequal: No Solution Moving to Node #0,4,1 Current State: 41:[39, 6], Operations: ['6+45=51', '57-51=6'] Exploring Operation: 39*6=234, Resulting Numbers: [234] 234,41 unequal: No Solution Exploring Operation: 39+6=45, Resulting Numbers: [45] 45,41 unequal: No Solution Exploring Operation: 39-6=33, Resulting Numbers: [33] 33,41 unequal: No Solution Moving to Node #0,4,2 Current State: 41:[57, 12], Operations: ['6+45=51', '51-39=12'] Exploring Operation: 57*12=684, Resulting Numbers: [684] 684,41 unequal: No Solution Exploring Operation: 57+12=69, Resulting Numbers: [69] 69,41 unequal: No Solution Exploring Operation: 57-12=45, Resulting Numbers: [45] 45,41 unequal: No Solution Moving to Node #0,2,0 Current State: 41:[57, 1], Operations: ['6+39=45', '45/45=1'] Exploring Operation: 57/1=57, Resulting Numbers: [57] 57,41 unequal: No Solution Exploring Operation: 57*1=57, Resulting Numbers: [57] 57,41 unequal: No Solution Exploring Operation: 57-1=56, Resulting Numbers: [56] 56,41 unequal: No Solution Exploring Operation: 57+1=58, Resulting Numbers: [58] 58,41 unequal: No Solution Moving to Node #0,2,1 Current State: 41:[57, 0], Operations: ['6+39=45', '45-45=0'] Exploring Operation: 57*0=0, Resulting Numbers: [0] 0,41 unequal: No Solution Exploring Operation: 57-0=57, Resulting Numbers: [57] 57,41 unequal: No Solution Exploring Operation: 57+0=57, Resulting Numbers: [57] 57,41 unequal: No Solution Moving to Node #0,4,3 Current State: 41:[57, 90], Operations: ['6+45=51', '39+51=90'] Exploring Operation: 90-57=33, Resulting Numbers: [33] 33,41 unequal: No Solution Exploring Operation: 57*90=5130, Resulting Numbers: [5130] 5130,41 unequal: No Solution Exploring Operation: 57+90=147, Resulting Numbers: [147] 147,41 unequal: No Solution Moving to Node #0,4,4 Current State: 41:[51, 96], Operations: ['6+45=51', '57+39=96'] Exploring Operation: 96-51=45, Resulting Numbers: [45] 45,41 unequal: No Solution Exploring Operation: 51+96=147, Resulting Numbers: [147] 147,41 unequal: No Solution Exploring Operation: 51*96=4896, Resulting Numbers: [4896] 4896,41 unequal: No Solution Moving to Node #0,2,4 Current State: 41:[45, 102], Operations: ['6+39=45', '57+45=102'] Exploring Operation: 45+102=147, Resulting Numbers: [147] 147,41 unequal: No Solution Exploring Operation: 45*102=4590, Resulting Numbers: [4590] 4590,41 unequal: No Solution Exploring Operation: 102-45=57, Resulting Numbers: [57] 57,41 unequal: No Solution No solution found.
0
hs_5
mult_heuristic
[ 31, 56, 66, 59 ]
27
[ "59-56=3", "31*3=93", "93-66=27" ]
Current State: 27:[31, 56, 66, 59], Operations: [] Exploring Operation: 59-56=3, Resulting Numbers: [31, 66, 3] Generated Node #2: [31, 66, 3] from Operation: 59-56=3 Current State: 27:[31, 66, 3], Operations: ['59-56=3'] Exploring Operation: 31*3=93, Resulting Numbers: [66, 93] Generated Node #3: [66, 93] from Operation: 31*3=93 Current State: 27:[66, 93], Operations: ['59-56=3', '31*3=93'] Exploring Operation: 93-66=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
Current State: 27:[31, 56, 66, 59], Operations: [] Exploring Operation: 66-59=7, Resulting Numbers: [31, 56, 7] Generated Node #0,0: 27:[31, 56, 7] Operation: 66-59=7 Start Sub Search at level 1: Moving to Node #0,0 Current State: 27:[31, 56, 7], Operations: ['66-59=7'] Exploring Operation: 56-31=25, Resulting Numbers: [7, 25] Generated Node #0,0,0: 27:[7, 25] Operation: 56-31=25 Moving to Node #0,0,0 Current State: 27:[7, 25], Operations: ['66-59=7', '56-31=25'] Exploring Operation: 7+25=32, Resulting Numbers: [32] 32,27 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
[ 68, 94, 87, 15 ]
90
[ "68+94=162", "87-15=72", "162-72=90" ]
Current State: 90:[68, 94, 87, 15], Operations: [] Exploring Operation: 68+94=162, Resulting Numbers: [87, 15, 162] Generated Node #2: [87, 15, 162] from Operation: 68+94=162 Current State: 90:[87, 15, 162], Operations: ['68+94=162'] Exploring Operation: 87-15=72, Resulting Numbers: [162, 72] Generated Node #3: [162, 72] from Operation: 87-15=72 Current State: 90:[162, 72], Operations: ['68+94=162', '87-15=72'] Exploring Operation: 162-72=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
Current State: 90:[68, 94, 87, 15], Operations: [] Exploring Operation: 87-68=19, Resulting Numbers: [94, 15, 19] Generated Node #0,0: 90:[94, 15, 19] Operation: 87-68=19 Moving to Node #0,0 Current State: 90:[94, 15, 19], Operations: ['87-68=19'] Exploring Operation: 19-15=4, Resulting Numbers: [94, 4] Generated Node #0,0,0: 90:[94, 4] Operation: 19-15=4 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 90:[94, 4], Operations: ['87-68=19', '19-15=4'] Exploring Operation: 94-4=90, Resulting Numbers: [90] 90,90 equal: Goal Reached Moving to Node #0 Current State: 90:[68, 94, 87, 15], Operations: [] Exploring Operation: 87-68=19, Resulting Numbers: [94, 15, 19] Generated Node #0,0: 90:[94, 15, 19] Operation: 87-68=19 Moving to Node #0,0 Current State: 90:[94, 15, 19], Operations: ['87-68=19'] Exploring Operation: 19-15=4, Resulting Numbers: [94, 4] Generated Node #0,0,0: 90:[94, 4] Operation: 19-15=4 Moving to Node #0,0,0 Current State: 90:[94, 4], Operations: ['87-68=19', '19-15=4'] Exploring Operation: 94-4=90, Resulting Numbers: [90] 90,90 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
sum_heuristic
[ 47, 68, 54, 42 ]
70
[ "47-42=5", "68-54=14", "5*14=70" ]
Current State: 70:[47, 68, 54, 42], Operations: [] Exploring Operation: 47-42=5, Resulting Numbers: [68, 54, 5] Generated Node #2: [68, 54, 5] from Operation: 47-42=5 Current State: 70:[68, 54, 5], Operations: ['47-42=5'] Exploring Operation: 68-54=14, Resulting Numbers: [5, 14] Generated Node #3: [5, 14] from Operation: 68-54=14 Current State: 70:[5, 14], Operations: ['47-42=5', '68-54=14'] Exploring Operation: 5*14=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
Current State: 70:[47, 68, 54, 42], Operations: [] Exploring Operation: 54-47=7, Resulting Numbers: [68, 42, 7] Generated Node #0,0: 70:[68, 42, 7] Operation: 54-47=7 Moving to Node #0,0 Current State: 70:[68, 42, 7], Operations: ['54-47=7'] Exploring Operation: 42-7=35, Resulting Numbers: [68, 35] Generated Node #0,0,0: 70:[68, 35] Operation: 42-7=35 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 70:[68, 35], Operations: ['54-47=7', '42-7=35'] Exploring Operation: 68-35=33, Resulting Numbers: [33] 33,70 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
[ 36, 81, 77, 19 ]
68
[ "36-19=17", "81-77=4", "17*4=68" ]
Current State: 68:[36, 81, 77, 19], Operations: [] Exploring Operation: 36-19=17, Resulting Numbers: [81, 77, 17] Generated Node #2: [81, 77, 17] from Operation: 36-19=17 Current State: 68:[81, 77, 17], Operations: ['36-19=17'] Exploring Operation: 81-77=4, Resulting Numbers: [17, 4] Generated Node #3: [17, 4] from Operation: 81-77=4 Current State: 68:[17, 4], Operations: ['36-19=17', '81-77=4'] Exploring Operation: 17*4=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
Current State: 68:[36, 81, 77, 19], Operations: [] Exploring Operation: 81-77=4, Resulting Numbers: [36, 19, 4] Generated Node #0,0: 68:[36, 19, 4] Operation: 81-77=4 Moving to Node #0,0 Current State: 68:[36, 19, 4], Operations: ['81-77=4'] Exploring Operation: 36-19=17, Resulting Numbers: [4, 17] Generated Node #0,0,0: 68:[4, 17] Operation: 36-19=17 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 68:[4, 17], Operations: ['81-77=4', '36-19=17'] Exploring Operation: 4*17=68, Resulting Numbers: [68] 68,68 equal: Goal Reached Moving to Node #0 Current State: 68:[36, 81, 77, 19], Operations: [] Exploring Operation: 81-77=4, Resulting Numbers: [36, 19, 4] Generated Node #0,0: 68:[36, 19, 4] Operation: 81-77=4 Moving to Node #0,0 Current State: 68:[36, 19, 4], Operations: ['81-77=4'] Exploring Operation: 36-19=17, Resulting Numbers: [4, 17] Generated Node #0,0,0: 68:[4, 17] Operation: 36-19=17 Moving to Node #0,0,0 Current State: 68:[4, 17], Operations: ['81-77=4', '36-19=17'] Exploring Operation: 4*17=68, Resulting Numbers: [68] 68,68 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
mult_heuristic
[ 35, 73, 52, 32 ]
24
[ "35+73=108", "52+32=84", "108-84=24" ]
Current State: 24:[35, 73, 52, 32], Operations: [] Exploring Operation: 35+73=108, Resulting Numbers: [52, 32, 108] Generated Node #2: [52, 32, 108] from Operation: 35+73=108 Current State: 24:[52, 32, 108], Operations: ['35+73=108'] Exploring Operation: 52+32=84, Resulting Numbers: [108, 84] Generated Node #3: [108, 84] from Operation: 52+32=84 Current State: 24:[108, 84], Operations: ['35+73=108', '52+32=84'] Exploring Operation: 108-84=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
Current State: 24:[35, 73, 52, 32], Operations: [] Exploring Operation: 73-32=41, Resulting Numbers: [35, 52, 41] Generated Node #0,0: 24:[35, 52, 41] Operation: 73-32=41 Exploring Operation: 73-52=21, Resulting Numbers: [35, 32, 21] Generated Node #0,1: 24:[35, 32, 21] Operation: 73-52=21 Exploring Operation: 73-35=38, Resulting Numbers: [52, 32, 38] Generated Node #0,2: 24:[52, 32, 38] Operation: 73-35=38 Moving to Node #0,1 Current State: 24:[35, 32, 21], Operations: ['73-52=21'] Exploring Operation: 35-21=14, Resulting Numbers: [32, 14] Generated Node #0,1,0: 24:[32, 14] Operation: 35-21=14 Exploring Operation: 35-32=3, Resulting Numbers: [21, 3] Generated Node #0,1,1: 24:[21, 3] Operation: 35-32=3 Exploring Operation: 32-21=11, Resulting Numbers: [35, 11] Generated Node #0,1,2: 24:[35, 11] Operation: 32-21=11 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 24:[21, 3], Operations: ['73-52=21', '35-32=3'] Exploring Operation: 21-3=18, Resulting Numbers: [18] 18,24 unequal: No Solution Exploring Operation: 21+3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached Moving to Node #0 Current State: 24:[35, 73, 52, 32], Operations: [] Exploring Operation: 73-52=21, Resulting Numbers: [35, 32, 21] Generated Node #0,1: 24:[35, 32, 21] Operation: 73-52=21 Moving to Node #0,1 Current State: 24:[35, 32, 21], Operations: ['73-52=21'] Exploring Operation: 35-32=3, Resulting Numbers: [21, 3] Generated Node #0,1,1: 24:[21, 3] Operation: 35-32=3 Moving to Node #0,1,1 Current State: 24:[21, 3], Operations: ['73-52=21', '35-32=3'] Exploring Operation: 21+3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached Exit Sub Search at level 1
0.989583
hs_3
mult_heuristic
[ 13, 16, 86, 68 ]
11
[ "13+16=29", "86-68=18", "29-18=11" ]
Current State: 11:[13, 16, 86, 68], Operations: [] Exploring Operation: 13+16=29, Resulting Numbers: [86, 68, 29] Generated Node #2: [86, 68, 29] from Operation: 13+16=29 Current State: 11:[86, 68, 29], Operations: ['13+16=29'] Exploring Operation: 86-68=18, Resulting Numbers: [29, 18] Generated Node #3: [29, 18] from Operation: 86-68=18 Current State: 11:[29, 18], Operations: ['13+16=29', '86-68=18'] Exploring Operation: 29-18=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
Current State: 11:[13, 16, 86, 68], Operations: [] Exploring Operation: 86-68=18, Resulting Numbers: [13, 16, 18] Generated Node #0,0: 11:[13, 16, 18] Operation: 86-68=18 Exploring Operation: 86-16=70, Resulting Numbers: [13, 68, 70] Generated Node #0,1: 11:[13, 68, 70] Operation: 86-16=70 Moving to Node #0,0 Current State: 11:[13, 16, 18], Operations: ['86-68=18'] Exploring Operation: 18-13=5, Resulting Numbers: [16, 5] Generated Node #0,0,0: 11:[16, 5] Operation: 18-13=5 Exploring Operation: 18-16=2, Resulting Numbers: [13, 2] Generated Node #0,0,1: 11:[13, 2] Operation: 18-16=2 Moving to Node #0,1 Current State: 11:[13, 68, 70], Operations: ['86-16=70'] Exploring Operation: 70-68=2, Resulting Numbers: [13, 2] Generated Node #0,1,0: 11:[13, 2] Operation: 70-68=2 Exploring Operation: 68-13=55, Resulting Numbers: [70, 55] Generated Node #0,1,1: 11:[70, 55] Operation: 68-13=55 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 11:[13, 2], Operations: ['86-16=70', '70-68=2'] Exploring Operation: 13+2=15, Resulting Numbers: [15] 15,11 unequal: No Solution Exploring Operation: 13-2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached Moving to Node #0 Current State: 11:[13, 16, 86, 68], Operations: [] Exploring Operation: 86-16=70, Resulting Numbers: [13, 68, 70] Generated Node #0,1: 11:[13, 68, 70] Operation: 86-16=70 Moving to Node #0,1 Current State: 11:[13, 68, 70], Operations: ['86-16=70'] Exploring Operation: 70-68=2, Resulting Numbers: [13, 2] Generated Node #0,1,0: 11:[13, 2] Operation: 70-68=2 Moving to Node #0,1,0 Current State: 11:[13, 2], Operations: ['86-16=70', '70-68=2'] Exploring Operation: 13-2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached Exit Sub Search at level 1
0.989583
hs_2
sum_heuristic
[ 4, 36, 98, 3 ]
55
[ "4+36=40", "98-3=95", "95-40=55" ]
Current State: 55:[4, 36, 98, 3], Operations: [] Exploring Operation: 4+36=40, Resulting Numbers: [98, 3, 40] Generated Node #2: [98, 3, 40] from Operation: 4+36=40 Current State: 55:[98, 3, 40], Operations: ['4+36=40'] Exploring Operation: 98-3=95, Resulting Numbers: [40, 95] Generated Node #3: [40, 95] from Operation: 98-3=95 Current State: 55:[40, 95], Operations: ['4+36=40', '98-3=95'] Exploring Operation: 95-40=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
Current State: 55:[4, 36, 98, 3], Operations: [] Exploring Operation: 36/3=12, Resulting Numbers: [4, 98, 12] Generated Node #0,0: 55:[4, 98, 12] Operation: 36/3=12 Exploring Operation: 98-36=62, Resulting Numbers: [4, 3, 62] Generated Node #0,1: 55:[4, 3, 62] Operation: 98-36=62 Start Sub Search at level 1: Moving to Node #0,1 Current State: 55:[4, 3, 62], Operations: ['98-36=62'] Exploring Operation: 62-3=59, Resulting Numbers: [4, 59] Generated Node #0,1,0: 55:[4, 59] Operation: 62-3=59 Exploring Operation: 62-4=58, Resulting Numbers: [3, 58] Generated Node #0,1,1: 55:[3, 58] Operation: 62-4=58 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 55:[4, 59], Operations: ['98-36=62', '62-3=59'] Exploring Operation: 59-4=55, Resulting Numbers: [55] 55,55 equal: Goal Reached Moving to Node #0 Current State: 55:[4, 36, 98, 3], Operations: [] Exploring Operation: 98-36=62, Resulting Numbers: [4, 3, 62] Generated Node #0,1: 55:[4, 3, 62] Operation: 98-36=62 Moving to Node #0,1 Current State: 55:[4, 3, 62], Operations: ['98-36=62'] Exploring Operation: 62-3=59, Resulting Numbers: [4, 59] Generated Node #0,1,0: 55:[4, 59] Operation: 62-3=59 Moving to Node #0,1,0 Current State: 55:[4, 59], Operations: ['98-36=62', '62-3=59'] Exploring Operation: 59-4=55, Resulting Numbers: [55] 55,55 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.992188
hs_2
sum_heuristic
[ 31, 92, 28, 78 ]
33
[ "92-78=14", "28/14=2", "31+2=33" ]
Current State: 33:[31, 92, 28, 78], Operations: [] Exploring Operation: 92-78=14, Resulting Numbers: [31, 28, 14] Generated Node #2: [31, 28, 14] from Operation: 92-78=14 Current State: 33:[31, 28, 14], Operations: ['92-78=14'] Exploring Operation: 28/14=2, Resulting Numbers: [31, 2] Generated Node #3: [31, 2] from Operation: 28/14=2 Current State: 33:[31, 2], Operations: ['92-78=14', '28/14=2'] Exploring Operation: 31+2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
Current State: 33:[31, 92, 28, 78], Operations: [] Exploring Operation: 92-78=14, Resulting Numbers: [31, 28, 14] Generated Node #0,0: 33:[31, 28, 14] Operation: 92-78=14 Exploring Operation: 92-31=61, Resulting Numbers: [28, 78, 61] Generated Node #0,1: 33:[28, 78, 61] Operation: 92-31=61 Exploring Operation: 92-28=64, Resulting Numbers: [31, 78, 64] Generated Node #0,2: 33:[31, 78, 64] Operation: 92-28=64 Exploring Operation: 78-31=47, Resulting Numbers: [92, 28, 47] Generated Node #0,3: 33:[92, 28, 47] Operation: 78-31=47 Exploring Operation: 78-28=50, Resulting Numbers: [31, 92, 50] Generated Node #0,4: 33:[31, 92, 50] Operation: 78-28=50 Start Sub Search at level 1: Moving to Node #0,0 Current State: 33:[31, 28, 14], Operations: ['92-78=14'] Exploring Operation: 28-14=14, Resulting Numbers: [31, 14] Generated Node #0,0,0: 33:[31, 14] Operation: 28-14=14 Exploring Operation: 31-28=3, Resulting Numbers: [14, 3] Generated Node #0,0,1: 33:[14, 3] Operation: 31-28=3 Exploring Operation: 31-14=17, Resulting Numbers: [28, 17] Generated Node #0,0,2: 33:[28, 17] Operation: 31-14=17 Exploring Operation: 28+14=42, Resulting Numbers: [31, 42] Generated Node #0,0,3: 33:[31, 42] Operation: 28+14=42 Exploring Operation: 28/14=2, Resulting Numbers: [31, 2] Generated Node #0,0,4: 33:[31, 2] Operation: 28/14=2 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 33:[14, 3], Operations: ['92-78=14', '31-28=3'] Exploring Operation: 14-3=11, Resulting Numbers: [11] 11,33 unequal: No Solution Exploring Operation: 14+3=17, Resulting Numbers: [17] 17,33 unequal: No Solution Exploring Operation: 14*3=42, Resulting Numbers: [42] 42,33 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: 33:[31, 2], Operations: ['92-78=14', '28/14=2'] Exploring Operation: 31*2=62, Resulting Numbers: [62] 62,33 unequal: No Solution Exploring Operation: 31+2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached Moving to Node #0 Current State: 33:[31, 92, 28, 78], Operations: [] Exploring Operation: 92-78=14, Resulting Numbers: [31, 28, 14] Generated Node #0,0: 33:[31, 28, 14] Operation: 92-78=14 Moving to Node #0,0 Current State: 33:[31, 28, 14], Operations: ['92-78=14'] Exploring Operation: 28/14=2, Resulting Numbers: [31, 2] Generated Node #0,0,4: 33:[31, 2] Operation: 28/14=2 Moving to Node #0,0,4 Current State: 33:[31, 2], Operations: ['92-78=14', '28/14=2'] Exploring Operation: 31+2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.983507
hs_5
sum_heuristic
[ 90, 68, 7, 51 ]
73
[ "68+51=119", "119/7=17", "90-17=73" ]
Current State: 73:[90, 68, 7, 51], Operations: [] Exploring Operation: 68+51=119, Resulting Numbers: [90, 7, 119] Generated Node #2: [90, 7, 119] from Operation: 68+51=119 Current State: 73:[90, 7, 119], Operations: ['68+51=119'] Exploring Operation: 119/7=17, Resulting Numbers: [90, 17] Generated Node #3: [90, 17] from Operation: 119/7=17 Current State: 73:[90, 17], Operations: ['68+51=119', '119/7=17'] Exploring Operation: 90-17=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
Current State: 73:[90, 68, 7, 51], Operations: [] Exploring Operation: 90+7=97, Resulting Numbers: [68, 51, 97] Generated Node #0,0: 73:[68, 51, 97] Operation: 90+7=97 Exploring Operation: 90-7=83, Resulting Numbers: [68, 51, 83] Generated Node #0,1: 73:[68, 51, 83] Operation: 90-7=83 Exploring Operation: 68+7=75, Resulting Numbers: [90, 51, 75] Generated Node #0,2: 73:[90, 51, 75] Operation: 68+7=75 Exploring Operation: 7+51=58, Resulting Numbers: [90, 68, 58] Generated Node #0,3: 73:[90, 68, 58] Operation: 7+51=58 Start Sub Search at level 1: Moving to Node #0,1 Current State: 73:[68, 51, 83], Operations: ['90-7=83'] Exploring Operation: 83-51=32, Resulting Numbers: [68, 32] Generated Node #0,1,0: 73:[68, 32] Operation: 83-51=32 Exploring Operation: 68-51=17, Resulting Numbers: [83, 17] Generated Node #0,1,1: 73:[83, 17] Operation: 68-51=17 Exploring Operation: 68+51=119, Resulting Numbers: [83, 119] Generated Node #0,1,2: 73:[83, 119] Operation: 68+51=119 Exploring Operation: 51+83=134, Resulting Numbers: [68, 134] Generated Node #0,1,3: 73:[68, 134] Operation: 51+83=134 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 73:[68, 32], Operations: ['90-7=83', '83-51=32'] Exploring Operation: 68-32=36, Resulting Numbers: [36] 36,73 unequal: No Solution Exploring Operation: 68+32=100, Resulting Numbers: [100] 100,73 unequal: No Solution Exploring Operation: 68*32=2176, Resulting Numbers: [2176] 2176,73 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: 73:[83, 119], Operations: ['90-7=83', '68+51=119'] Exploring Operation: 119-83=36, Resulting Numbers: [36] 36,73 unequal: No Solution Exploring Operation: 83*119=9877, Resulting Numbers: [9877] 9877,73 unequal: No Solution Exploring Operation: 83+119=202, Resulting Numbers: [202] 202,73 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: 73:[83, 17], Operations: ['90-7=83', '68-51=17'] Exploring Operation: 83+17=100, Resulting Numbers: [100] 100,73 unequal: No Solution Exploring Operation: 83*17=1411, Resulting Numbers: [1411] 1411,73 unequal: No Solution Exploring Operation: 83-17=66, Resulting Numbers: [66] 66,73 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: 73:[68, 134], Operations: ['90-7=83', '51+83=134'] Exploring Operation: 68*134=9112, Resulting Numbers: [9112] 9112,73 unequal: No Solution Exploring Operation: 68+134=202, Resulting Numbers: [202] 202,73 unequal: No Solution Exploring Operation: 134-68=66, Resulting Numbers: [66] 66,73 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: 73:[90, 68, 58], Operations: ['7+51=58'] Exploring Operation: 90+58=148, Resulting Numbers: [68, 148] Generated Node #0,3,0: 73:[68, 148] Operation: 90+58=148 Exploring Operation: 68+58=126, Resulting Numbers: [90, 126] Generated Node #0,3,1: 73:[90, 126] Operation: 68+58=126 Exploring Operation: 90-68=22, Resulting Numbers: [58, 22] Generated Node #0,3,2: 73:[58, 22] Operation: 90-68=22 Exploring Operation: 90-58=32, Resulting Numbers: [68, 32] Generated Node #0,3,3: 73:[68, 32] Operation: 90-58=32 Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 73:[68, 32], Operations: ['7+51=58', '90-58=32'] Exploring Operation: 68*32=2176, Resulting Numbers: [2176] 2176,73 unequal: No Solution Exploring Operation: 68-32=36, Resulting Numbers: [36] 36,73 unequal: No Solution Exploring Operation: 68+32=100, Resulting Numbers: [100] 100,73 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: 73:[58, 22], Operations: ['7+51=58', '90-68=22'] Exploring Operation: 58*22=1276, Resulting Numbers: [1276] 1276,73 unequal: No Solution Exploring Operation: 58-22=36, Resulting Numbers: [36] 36,73 unequal: No Solution Exploring Operation: 58+22=80, Resulting Numbers: [80] 80,73 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: 73:[90, 126], Operations: ['7+51=58', '68+58=126'] Exploring Operation: 90*126=11340, Resulting Numbers: [11340] 11340,73 unequal: No Solution Exploring Operation: 126-90=36, Resulting Numbers: [36] 36,73 unequal: No Solution Exploring Operation: 90+126=216, Resulting Numbers: [216] 216,73 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: 73:[68, 148], Operations: ['7+51=58', '90+58=148'] Exploring Operation: 148-68=80, Resulting Numbers: [80] 80,73 unequal: No Solution Exploring Operation: 68*148=10064, Resulting Numbers: [10064] 10064,73 unequal: No Solution Exploring Operation: 68+148=216, Resulting Numbers: [216] 216,73 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: 73:[90, 51, 75], Operations: ['68+7=75'] Exploring Operation: 51+75=126, Resulting Numbers: [90, 126] Generated Node #0,2,0: 73:[90, 126] Operation: 51+75=126 Exploring Operation: 90-51=39, Resulting Numbers: [75, 39] Generated Node #0,2,1: 73:[75, 39] Operation: 90-51=39 Exploring Operation: 90+51=141, Resulting Numbers: [75, 141] Generated Node #0,2,2: 73:[75, 141] Operation: 90+51=141 Exploring Operation: 75-51=24, Resulting Numbers: [90, 24] Generated Node #0,2,3: 73:[90, 24] Operation: 75-51=24 Moving to Node #0,2,1 Current State: 73:[75, 39], Operations: ['68+7=75', '90-51=39'] Exploring Operation: 75+39=114, Resulting Numbers: [114] 114,73 unequal: No Solution Exploring Operation: 75*39=2925, Resulting Numbers: [2925] 2925,73 unequal: No Solution Exploring Operation: 75-39=36, Resulting Numbers: [36] 36,73 unequal: No Solution Moving to Node #0,2,3 Current State: 73:[90, 24], Operations: ['68+7=75', '75-51=24'] Exploring Operation: 90+24=114, Resulting Numbers: [114] 114,73 unequal: No Solution Exploring Operation: 90*24=2160, Resulting Numbers: [2160] 2160,73 unequal: No Solution Exploring Operation: 90-24=66, Resulting Numbers: [66] 66,73 unequal: No Solution Moving to Node #0,2,2 Current State: 73:[75, 141], Operations: ['68+7=75', '90+51=141'] Exploring Operation: 75*141=10575, Resulting Numbers: [10575] 10575,73 unequal: No Solution Exploring Operation: 75+141=216, Resulting Numbers: [216] 216,73 unequal: No Solution Exploring Operation: 141-75=66, Resulting Numbers: [66] 66,73 unequal: No Solution Moving to Node #0,2,0 Current State: 73:[90, 126], Operations: ['68+7=75', '51+75=126'] Exploring Operation: 126-90=36, Resulting Numbers: [36] 36,73 unequal: No Solution Exploring Operation: 90*126=11340, Resulting Numbers: [11340] 11340,73 unequal: No Solution Exploring Operation: 90+126=216, Resulting Numbers: [216] 216,73 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 Current State: 73:[68, 51, 97], Operations: ['90+7=97'] Exploring Operation: 68-51=17, Resulting Numbers: [97, 17] Generated Node #0,0,0: 73:[97, 17] Operation: 68-51=17 Exploring Operation: 97-51=46, Resulting Numbers: [68, 46] Generated Node #0,0,1: 73:[68, 46] Operation: 97-51=46 Exploring Operation: 97-68=29, Resulting Numbers: [51, 29] Generated Node #0,0,2: 73:[51, 29] Operation: 97-68=29 Exploring Operation: 68+51=119, Resulting Numbers: [97, 119] Generated Node #0,0,3: 73:[97, 119] Operation: 68+51=119 Moving to Node #0,0,1 Current State: 73:[68, 46], Operations: ['90+7=97', '97-51=46'] Exploring Operation: 68*46=3128, Resulting Numbers: [3128] 3128,73 unequal: No Solution Exploring Operation: 68-46=22, Resulting Numbers: [22] 22,73 unequal: No Solution Exploring Operation: 68+46=114, Resulting Numbers: [114] 114,73 unequal: No Solution Moving to Node #0,0,2 Current State: 73:[51, 29], Operations: ['90+7=97', '97-68=29'] Exploring Operation: 51-29=22, Resulting Numbers: [22] 22,73 unequal: No Solution Exploring Operation: 51+29=80, Resulting Numbers: [80] 80,73 unequal: No Solution Exploring Operation: 51*29=1479, Resulting Numbers: [1479] 1479,73 unequal: No Solution Moving to Node #0,0,3 Current State: 73:[97, 119], Operations: ['90+7=97', '68+51=119'] Exploring Operation: 97+119=216, Resulting Numbers: [216] 216,73 unequal: No Solution Exploring Operation: 119-97=22, Resulting Numbers: [22] 22,73 unequal: No Solution Exploring Operation: 97*119=11543, Resulting Numbers: [11543] 11543,73 unequal: No Solution Moving to Node #0,0,0 Current State: 73:[97, 17], Operations: ['90+7=97', '68-51=17'] Exploring Operation: 97*17=1649, Resulting Numbers: [1649] 1649,73 unequal: No Solution Exploring Operation: 97-17=80, Resulting Numbers: [80] 80,73 unequal: No Solution Exploring Operation: 97+17=114, Resulting Numbers: [114] 114,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
mult_heuristic
[ 47, 16, 7, 27 ]
38
[ "47+27=74", "16*7=112", "112-74=38" ]
Current State: 38:[47, 16, 7, 27], Operations: [] Exploring Operation: 47+27=74, Resulting Numbers: [16, 7, 74] Generated Node #2: [16, 7, 74] from Operation: 47+27=74 Current State: 38:[16, 7, 74], Operations: ['47+27=74'] Exploring Operation: 16*7=112, Resulting Numbers: [74, 112] Generated Node #3: [74, 112] from Operation: 16*7=112 Current State: 38:[74, 112], Operations: ['47+27=74', '16*7=112'] Exploring Operation: 112-74=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
Current State: 38:[47, 16, 7, 27], Operations: [] Exploring Operation: 7+27=34, Resulting Numbers: [47, 16, 34] Generated Node #0,0: 38:[47, 16, 34] Operation: 7+27=34 Exploring Operation: 47-7=40, Resulting Numbers: [16, 27, 40] Generated Node #0,1: 38:[16, 27, 40] Operation: 47-7=40 Exploring Operation: 47-27=20, Resulting Numbers: [16, 7, 20] Generated Node #0,2: 38:[16, 7, 20] Operation: 47-27=20 Exploring Operation: 27-7=20, Resulting Numbers: [47, 16, 20] Generated Node #0,3: 38:[47, 16, 20] Operation: 27-7=20 Exploring Operation: 16+27=43, Resulting Numbers: [47, 7, 43] Generated Node #0,4: 38:[47, 7, 43] Operation: 16+27=43 Start Sub Search at level 1: Moving to Node #0,2 Current State: 38:[16, 7, 20], Operations: ['47-27=20'] Exploring Operation: 20-7=13, Resulting Numbers: [16, 13] Generated Node #0,2,0: 38:[16, 13] Operation: 20-7=13 Exploring Operation: 16-7=9, Resulting Numbers: [20, 9] Generated Node #0,2,1: 38:[20, 9] Operation: 16-7=9 Exploring Operation: 20-16=4, Resulting Numbers: [7, 4] Generated Node #0,2,2: 38:[7, 4] Operation: 20-16=4 Exploring Operation: 16+7=23, Resulting Numbers: [20, 23] Generated Node #0,2,3: 38:[20, 23] Operation: 16+7=23 Exploring Operation: 16+20=36, Resulting Numbers: [7, 36] Generated Node #0,2,4: 38:[7, 36] Operation: 16+20=36 Moving to Node #0,2,3 Current State: 38:[20, 23], Operations: ['47-27=20', '16+7=23'] Exploring Operation: 20*23=460, Resulting Numbers: [460] 460,38 unequal: No Solution Exploring Operation: 23-20=3, Resulting Numbers: [3] 3,38 unequal: No Solution Exploring Operation: 20+23=43, Resulting Numbers: [43] 43,38 unequal: No Solution Moving to Node #0,2,4 Current State: 38:[7, 36], Operations: ['47-27=20', '16+20=36'] Exploring Operation: 7+36=43, Resulting Numbers: [43] 43,38 unequal: No Solution Exploring Operation: 7*36=252, Resulting Numbers: [252] 252,38 unequal: No Solution Exploring Operation: 36-7=29, Resulting Numbers: [29] 29,38 unequal: No Solution Moving to Node #0,2,2 Current State: 38:[7, 4], Operations: ['47-27=20', '20-16=4'] Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,38 unequal: No Solution Exploring Operation: 7+4=11, Resulting Numbers: [11] 11,38 unequal: No Solution Exploring Operation: 7-4=3, Resulting Numbers: [3] 3,38 unequal: No Solution Moving to Node #0,2,1 Current State: 38:[20, 9], Operations: ['47-27=20', '16-7=9'] Exploring Operation: 20-9=11, Resulting Numbers: [11] 11,38 unequal: No Solution Exploring Operation: 20*9=180, Resulting Numbers: [180] 180,38 unequal: No Solution Exploring Operation: 20+9=29, Resulting Numbers: [29] 29,38 unequal: No Solution Moving to Node #0,2,0 Current State: 38:[16, 13], Operations: ['47-27=20', '20-7=13'] Exploring Operation: 16*13=208, Resulting Numbers: [208] 208,38 unequal: No Solution Exploring Operation: 16+13=29, Resulting Numbers: [29] 29,38 unequal: No Solution Exploring Operation: 16-13=3, Resulting Numbers: [3] 3,38 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:[16, 27, 40], Operations: ['47-7=40'] Exploring Operation: 16+27=43, Resulting Numbers: [40, 43] Generated Node #0,1,0: 38:[40, 43] Operation: 16+27=43 Exploring Operation: 16+40=56, Resulting Numbers: [27, 56] Generated Node #0,1,1: 38:[27, 56] Operation: 16+40=56 Exploring Operation: 40-16=24, Resulting Numbers: [27, 24] Generated Node #0,1,2: 38:[27, 24] Operation: 40-16=24 Exploring Operation: 27-16=11, Resulting Numbers: [40, 11] Generated Node #0,1,3: 38:[40, 11] Operation: 27-16=11 Exploring Operation: 40-27=13, Resulting Numbers: [16, 13] Generated Node #0,1,4: 38:[16, 13] Operation: 40-27=13 Moving to Node #0,1,0 Current State: 38:[40, 43], Operations: ['47-7=40', '16+27=43'] Exploring Operation: 40+43=83, Resulting Numbers: [83] 83,38 unequal: No Solution Exploring Operation: 43-40=3, Resulting Numbers: [3] 3,38 unequal: No Solution Exploring Operation: 40*43=1720, Resulting Numbers: [1720] 1720,38 unequal: No Solution Moving to Node #0,1,4 Current State: 38:[16, 13], Operations: ['47-7=40', '40-27=13'] Exploring Operation: 16*13=208, Resulting Numbers: [208] 208,38 unequal: No Solution Exploring Operation: 16+13=29, Resulting Numbers: [29] 29,38 unequal: No Solution Exploring Operation: 16-13=3, Resulting Numbers: [3] 3,38 unequal: No Solution Moving to Node #0,1,3 Current State: 38:[40, 11], Operations: ['47-7=40', '27-16=11'] Exploring Operation: 40+11=51, Resulting Numbers: [51] 51,38 unequal: No Solution Exploring Operation: 40*11=440, Resulting Numbers: [440] 440,38 unequal: No Solution Exploring Operation: 40-11=29, Resulting Numbers: [29] 29,38 unequal: No Solution Moving to Node #0,1,2 Current State: 38:[27, 24], Operations: ['47-7=40', '40-16=24'] Exploring Operation: 27*24=648, Resulting Numbers: [648] 648,38 unequal: No Solution Exploring Operation: 27-24=3, Resulting Numbers: [3] 3,38 unequal: No Solution Exploring Operation: 27+24=51, Resulting Numbers: [51] 51,38 unequal: No Solution Moving to Node #0,1,1 Current State: 38:[27, 56], Operations: ['47-7=40', '16+40=56'] Exploring Operation: 27*56=1512, Resulting Numbers: [1512] 1512,38 unequal: No Solution Exploring Operation: 27+56=83, Resulting Numbers: [83] 83,38 unequal: No Solution Exploring Operation: 56-27=29, Resulting Numbers: [29] 29,38 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 #0,3 Current State: 38:[47, 16, 20], Operations: ['27-7=20'] Exploring Operation: 47+16=63, Resulting Numbers: [20, 63] Generated Node #0,3,0: 38:[20, 63] Operation: 47+16=63 Exploring Operation: 47-16=31, Resulting Numbers: [20, 31] Generated Node #0,3,1: 38:[20, 31] Operation: 47-16=31 Exploring Operation: 16+20=36, Resulting Numbers: [47, 36] Generated Node #0,3,2: 38:[47, 36] Operation: 16+20=36 Exploring Operation: 47-20=27, Resulting Numbers: [16, 27] Generated Node #0,3,3: 38:[16, 27] Operation: 47-20=27 Exploring Operation: 20-16=4, Resulting Numbers: [47, 4] Generated Node #0,3,4: 38:[47, 4] Operation: 20-16=4 Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 38:[20, 31], Operations: ['27-7=20', '47-16=31'] Exploring Operation: 20+31=51, Resulting Numbers: [51] 51,38 unequal: No Solution Exploring Operation: 20*31=620, Resulting Numbers: [620] 620,38 unequal: No Solution Exploring Operation: 31-20=11, Resulting Numbers: [11] 11,38 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 #0,3,2 Current State: 38:[47, 36], Operations: ['27-7=20', '16+20=36'] Exploring Operation: 47+36=83, Resulting Numbers: [83] 83,38 unequal: No Solution Exploring Operation: 47-36=11, Resulting Numbers: [11] 11,38 unequal: No Solution Exploring Operation: 47*36=1692, Resulting Numbers: [1692] 1692,38 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 #0,3,3 Current State: 38:[16, 27], Operations: ['27-7=20', '47-20=27'] Exploring Operation: 16+27=43, Resulting Numbers: [43] 43,38 unequal: No Solution Exploring Operation: 16*27=432, Resulting Numbers: [432] 432,38 unequal: No Solution Exploring Operation: 27-16=11, Resulting Numbers: [11] 11,38 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 #0,3,4 Current State: 38:[47, 4], Operations: ['27-7=20', '20-16=4'] Exploring Operation: 47*4=188, Resulting Numbers: [188] 188,38 unequal: No Solution Exploring Operation: 47-4=43, Resulting Numbers: [43] 43,38 unequal: No Solution Exploring Operation: 47+4=51, Resulting Numbers: [51] 51,38 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 #0,3,0 Current State: 38:[20, 63], Operations: ['27-7=20', '47+16=63'] Exploring Operation: 63-20=43, Resulting Numbers: [43] 43,38 unequal: No Solution Exploring Operation: 20+63=83, Resulting Numbers: [83] 83,38 unequal: No Solution Exploring Operation: 20*63=1260, Resulting Numbers: [1260] 1260,38 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:[47, 16, 34], Operations: ['7+27=34'] Exploring Operation: 16+34=50, Resulting Numbers: [47, 50] Generated Node #0,0,0: 38:[47, 50] Operation: 16+34=50 Exploring Operation: 47-16=31, Resulting Numbers: [34, 31] Generated Node #0,0,1: 38:[34, 31] Operation: 47-16=31 Exploring Operation: 34-16=18, Resulting Numbers: [47, 18] Generated Node #0,0,2: 38:[47, 18] Operation: 34-16=18 Exploring Operation: 47-34=13, Resulting Numbers: [16, 13] Generated Node #0,0,3: 38:[16, 13] Operation: 47-34=13 Exploring Operation: 47+16=63, Resulting Numbers: [34, 63] Generated Node #0,0,4: 38:[34, 63] Operation: 47+16=63 Moving to Node #0,0,3 Current State: 38:[16, 13], Operations: ['7+27=34', '47-34=13'] Exploring Operation: 16-13=3, Resulting Numbers: [3] 3,38 unequal: No Solution Exploring Operation: 16*13=208, Resulting Numbers: [208] 208,38 unequal: No Solution Exploring Operation: 16+13=29, Resulting Numbers: [29] 29,38 unequal: No Solution Moving to Node #0,0,2 Current State: 38:[47, 18], Operations: ['7+27=34', '34-16=18'] Exploring Operation: 47-18=29, Resulting Numbers: [29] 29,38 unequal: No Solution Exploring Operation: 47+18=65, Resulting Numbers: [65] 65,38 unequal: No Solution Exploring Operation: 47*18=846, Resulting Numbers: [846] 846,38 unequal: No Solution Moving to Node #0,0,1 Current State: 38:[34, 31], Operations: ['7+27=34', '47-16=31'] Exploring Operation: 34*31=1054, Resulting Numbers: [1054] 1054,38 unequal: No Solution Exploring Operation: 34-31=3, Resulting Numbers: [3] 3,38 unequal: No Solution Exploring Operation: 34+31=65, Resulting Numbers: [65] 65,38 unequal: No Solution Moving to Node #0,0,0 Current State: 38:[47, 50], Operations: ['7+27=34', '16+34=50'] Exploring Operation: 47*50=2350, Resulting Numbers: [2350] 2350,38 unequal: No Solution Exploring Operation: 47+50=97, Resulting Numbers: [97] 97,38 unequal: No Solution Exploring Operation: 50-47=3, Resulting Numbers: [3] 3,38 unequal: No Solution Moving to Node #0,0,4 Current State: 38:[34, 63], Operations: ['7+27=34', '47+16=63'] Exploring Operation: 34*63=2142, Resulting Numbers: [2142] 2142,38 unequal: No Solution Exploring Operation: 34+63=97, Resulting Numbers: [97] 97,38 unequal: No Solution Exploring Operation: 63-34=29, Resulting Numbers: [29] 29,38 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 #0,4 Current State: 38:[47, 7, 43], Operations: ['16+27=43'] Exploring Operation: 47-7=40, Resulting Numbers: [43, 40] Generated Node #0,4,0: 38:[43, 40] Operation: 47-7=40 Exploring Operation: 47-43=4, Resulting Numbers: [7, 4] Generated Node #0,4,1: 38:[7, 4] Operation: 47-43=4 Exploring Operation: 43-7=36, Resulting Numbers: [47, 36] Generated Node #0,4,2: 38:[47, 36] Operation: 43-7=36 Exploring Operation: 7+43=50, Resulting Numbers: [47, 50] Generated Node #0,4,3: 38:[47, 50] Operation: 7+43=50 Exploring Operation: 47+7=54, Resulting Numbers: [43, 54] Generated Node #0,4,4: 38:[43, 54] Operation: 47+7=54 Start Sub Search at level 2: Moving to Node #0,4,0 Current State: 38:[43, 40], Operations: ['16+27=43', '47-7=40'] Exploring Operation: 43+40=83, Resulting Numbers: [83] 83,38 unequal: No Solution Exploring Operation: 43*40=1720, Resulting Numbers: [1720] 1720,38 unequal: No Solution Exploring Operation: 43-40=3, Resulting Numbers: [3] 3,38 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 #0,4,1 Current State: 38:[7, 4], Operations: ['16+27=43', '47-43=4'] Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,38 unequal: No Solution Exploring Operation: 7+4=11, Resulting Numbers: [11] 11,38 unequal: No Solution Exploring Operation: 7-4=3, Resulting Numbers: [3] 3,38 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 #0,4,2 Current State: 38:[47, 36], Operations: ['16+27=43', '43-7=36'] Exploring Operation: 47+36=83, Resulting Numbers: [83] 83,38 unequal: No Solution Exploring Operation: 47-36=11, Resulting Numbers: [11] 11,38 unequal: No Solution Exploring Operation: 47*36=1692, Resulting Numbers: [1692] 1692,38 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 #0,4,3 Current State: 38:[47, 50], Operations: ['16+27=43', '7+43=50'] Exploring Operation: 47*50=2350, Resulting Numbers: [2350] 2350,38 unequal: No Solution Exploring Operation: 47+50=97, Resulting Numbers: [97] 97,38 unequal: No Solution Exploring Operation: 50-47=3, Resulting Numbers: [3] 3,38 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 #0,4,4 Current State: 38:[43, 54], Operations: ['16+27=43', '47+7=54'] Exploring Operation: 54-43=11, Resulting Numbers: [11] 11,38 unequal: No Solution Exploring Operation: 43*54=2322, Resulting Numbers: [2322] 2322,38 unequal: No Solution Exploring Operation: 43+54=97, Resulting Numbers: [97] 97,38 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_5
sum_heuristic
[ 46, 85, 92, 15 ]
72
[ "92/46=2", "85-15=70", "2+70=72" ]
Current State: 72:[46, 85, 92, 15], Operations: [] Exploring Operation: 92/46=2, Resulting Numbers: [85, 15, 2] Generated Node #2: [85, 15, 2] from Operation: 92/46=2 Current State: 72:[85, 15, 2], Operations: ['92/46=2'] Exploring Operation: 85-15=70, Resulting Numbers: [2, 70] Generated Node #3: [2, 70] from Operation: 85-15=70 Current State: 72:[2, 70], Operations: ['92/46=2', '85-15=70'] Exploring Operation: 2+70=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
Current State: 72:[46, 85, 92, 15], Operations: [] Exploring Operation: 92-85=7, Resulting Numbers: [46, 15, 7] Generated Node #0,0: 72:[46, 15, 7] Operation: 92-85=7 Exploring Operation: 92-15=77, Resulting Numbers: [46, 85, 77] Generated Node #0,1: 72:[46, 85, 77] Operation: 92-15=77 Exploring Operation: 92/46=2, Resulting Numbers: [85, 15, 2] Generated Node #0,2: 72:[85, 15, 2] Operation: 92/46=2 Exploring Operation: 85-46=39, Resulting Numbers: [92, 15, 39] Generated Node #0,3: 72:[92, 15, 39] Operation: 85-46=39 Exploring Operation: 92-46=46, Resulting Numbers: [85, 15, 46] Generated Node #0,4: 72:[85, 15, 46] Operation: 92-46=46 Moving to Node #0,0 Current State: 72:[46, 15, 7], Operations: ['92-85=7'] Exploring Operation: 46-15=31, Resulting Numbers: [7, 31] Generated Node #0,0,0: 72:[7, 31] Operation: 46-15=31 Exploring Operation: 46+15=61, Resulting Numbers: [7, 61] Generated Node #0,0,1: 72:[7, 61] Operation: 46+15=61 Exploring Operation: 46-7=39, Resulting Numbers: [15, 39] Generated Node #0,0,2: 72:[15, 39] Operation: 46-7=39 Exploring Operation: 15+7=22, Resulting Numbers: [46, 22] Generated Node #0,0,3: 72:[46, 22] Operation: 15+7=22 Exploring Operation: 15-7=8, Resulting Numbers: [46, 8] Generated Node #0,0,4: 72:[46, 8] Operation: 15-7=8 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 72:[7, 31], Operations: ['92-85=7', '46-15=31'] Exploring Operation: 31-7=24, Resulting Numbers: [24] 24,72 unequal: No Solution Exploring Operation: 7+31=38, Resulting Numbers: [38] 38,72 unequal: No Solution Exploring Operation: 7*31=217, Resulting Numbers: [217] 217,72 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: 72:[15, 39], Operations: ['92-85=7', '46-7=39'] Exploring Operation: 15+39=54, Resulting Numbers: [54] 54,72 unequal: No Solution Exploring Operation: 15*39=585, Resulting Numbers: [585] 585,72 unequal: No Solution Exploring Operation: 39-15=24, Resulting Numbers: [24] 24,72 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 #0,0,4 Current State: 72:[46, 8], Operations: ['92-85=7', '15-7=8'] Exploring Operation: 46+8=54, Resulting Numbers: [54] 54,72 unequal: No Solution Exploring Operation: 46*8=368, Resulting Numbers: [368] 368,72 unequal: No Solution Exploring Operation: 46-8=38, Resulting Numbers: [38] 38,72 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: 72:[7, 61], Operations: ['92-85=7', '46+15=61'] Exploring Operation: 7*61=427, Resulting Numbers: [427] 427,72 unequal: No Solution Exploring Operation: 61-7=54, Resulting Numbers: [54] 54,72 unequal: No Solution Exploring Operation: 7+61=68, Resulting Numbers: [68] 68,72 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: 72:[46, 22], Operations: ['92-85=7', '15+7=22'] Exploring Operation: 46-22=24, Resulting Numbers: [24] 24,72 unequal: No Solution Exploring Operation: 46+22=68, Resulting Numbers: [68] 68,72 unequal: No Solution Exploring Operation: 46*22=1012, Resulting Numbers: [1012] 1012,72 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: 72:[85, 15, 2], Operations: ['92/46=2'] Exploring Operation: 85-15=70, Resulting Numbers: [2, 70] Generated Node #0,2,0: 72:[2, 70] Operation: 85-15=70 Exploring Operation: 85+2=87, Resulting Numbers: [15, 87] Generated Node #0,2,1: 72:[15, 87] Operation: 85+2=87 Exploring Operation: 15+2=17, Resulting Numbers: [85, 17] Generated Node #0,2,2: 72:[85, 17] Operation: 15+2=17 Exploring Operation: 15-2=13, Resulting Numbers: [85, 13] Generated Node #0,2,3: 72:[85, 13] Operation: 15-2=13 Exploring Operation: 85-2=83, Resulting Numbers: [15, 83] Generated Node #0,2,4: 72:[15, 83] Operation: 85-2=83 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 72:[2, 70], Operations: ['92/46=2', '85-15=70'] Exploring Operation: 2+70=72, Resulting Numbers: [72] 72,72 equal: Goal Reached Moving to Node #0 Current State: 72:[46, 85, 92, 15], Operations: [] Exploring Operation: 92/46=2, Resulting Numbers: [85, 15, 2] Generated Node #0,2: 72:[85, 15, 2] Operation: 92/46=2 Moving to Node #0,2 Current State: 72:[85, 15, 2], Operations: ['92/46=2'] Exploring Operation: 85-15=70, Resulting Numbers: [2, 70] Generated Node #0,2,0: 72:[2, 70] Operation: 85-15=70 Moving to Node #0,2,0 Current State: 72:[2, 70], Operations: ['92/46=2', '85-15=70'] Exploring Operation: 2+70=72, Resulting Numbers: [72] 72,72 equal: Goal Reached Exit Sub Search at level 1
0.969618
hs_5
sum_heuristic
[ 61, 15, 24, 80 ]
75
[ "61+24=85", "85-80=5", "15*5=75" ]
Current State: 75:[61, 15, 24, 80], Operations: [] Exploring Operation: 61+24=85, Resulting Numbers: [15, 80, 85] Generated Node #2: [15, 80, 85] from Operation: 61+24=85 Current State: 75:[15, 80, 85], Operations: ['61+24=85'] Exploring Operation: 85-80=5, Resulting Numbers: [15, 5] Generated Node #3: [15, 5] from Operation: 85-80=5 Current State: 75:[15, 5], Operations: ['61+24=85', '85-80=5'] Exploring Operation: 15*5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
Current State: 75:[61, 15, 24, 80], Operations: [] Exploring Operation: 80-61=19, Resulting Numbers: [15, 24, 19] Generated Node #0,0: 75:[15, 24, 19] Operation: 80-61=19 Start Sub Search at level 1: Moving to Node #0,0 Current State: 75:[15, 24, 19], Operations: ['80-61=19'] Exploring Operation: 24-19=5, Resulting Numbers: [15, 5] Generated Node #0,0,0: 75:[15, 5] Operation: 24-19=5 Moving to Node #0,0,0 Current State: 75:[15, 5], Operations: ['80-61=19', '24-19=5'] Exploring Operation: 15*5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached Moving to Node #0 Current State: 75:[61, 15, 24, 80], Operations: [] Exploring Operation: 80-61=19, Resulting Numbers: [15, 24, 19] Generated Node #0,0: 75:[15, 24, 19] Operation: 80-61=19 Moving to Node #0,0 Current State: 75:[15, 24, 19], Operations: ['80-61=19'] Exploring Operation: 24-19=5, Resulting Numbers: [15, 5] Generated Node #0,0,0: 75:[15, 5] Operation: 24-19=5 Moving to Node #0,0,0 Current State: 75:[15, 5], Operations: ['80-61=19', '24-19=5'] Exploring Operation: 15*5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
sum_heuristic
[ 45, 40, 77, 82 ]
10
[ "45-40=5", "82-77=5", "5+5=10" ]
Current State: 10:[45, 40, 77, 82], Operations: [] Exploring Operation: 45-40=5, Resulting Numbers: [77, 82, 5] Generated Node #2: [77, 82, 5] from Operation: 45-40=5 Current State: 10:[77, 82, 5], Operations: ['45-40=5'] Exploring Operation: 82-77=5, Resulting Numbers: [5, 5] Generated Node #3: [5, 5] from Operation: 82-77=5 Current State: 10:[5, 5], Operations: ['45-40=5', '82-77=5'] Exploring Operation: 5+5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
Current State: 10:[45, 40, 77, 82], Operations: [] Exploring Operation: 77-40=37, Resulting Numbers: [45, 82, 37] Generated Node #0,0: 10:[45, 82, 37] Operation: 77-40=37 Exploring Operation: 82-40=42, Resulting Numbers: [45, 77, 42] Generated Node #0,1: 10:[45, 77, 42] Operation: 82-40=42 Exploring Operation: 82-77=5, Resulting Numbers: [45, 40, 5] Generated Node #0,2: 10:[45, 40, 5] Operation: 82-77=5 Exploring Operation: 77-45=32, Resulting Numbers: [40, 82, 32] Generated Node #0,3: 10:[40, 82, 32] Operation: 77-45=32 Exploring Operation: 82-45=37, Resulting Numbers: [40, 77, 37] Generated Node #0,4: 10:[40, 77, 37] Operation: 82-45=37 Start Sub Search at level 1: Moving to Node #0,2 Current State: 10:[45, 40, 5], Operations: ['82-77=5'] Exploring Operation: 40-5=35, Resulting Numbers: [45, 35] Generated Node #0,2,0: 10:[45, 35] Operation: 40-5=35 Exploring Operation: 45-40=5, Resulting Numbers: [5, 5] Generated Node #0,2,1: 10:[5, 5] Operation: 45-40=5 Exploring Operation: 45-5=40, Resulting Numbers: [40, 40] Generated Node #0,2,2: 10:[40, 40] Operation: 45-5=40 Exploring Operation: 40/5=8, Resulting Numbers: [45, 8] Generated Node #0,2,3: 10:[45, 8] Operation: 40/5=8 Exploring Operation: 45/5=9, Resulting Numbers: [40, 9] Generated Node #0,2,4: 10:[40, 9] Operation: 45/5=9 Moving to Node #0,2,1 Current State: 10:[5, 5], Operations: ['82-77=5', '45-40=5'] Exploring Operation: 5-5=0, Resulting Numbers: [0] 0,10 unequal: No Solution Exploring Operation: 5/5=1, Resulting Numbers: [1] 1,10 unequal: No Solution Exploring Operation: 5*5=25, Resulting Numbers: [25] 25,10 unequal: No Solution Exploring Operation: 5+5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached Moving to Node #0 Current State: 10:[45, 40, 77, 82], Operations: [] Exploring Operation: 82-77=5, Resulting Numbers: [45, 40, 5] Generated Node #0,2: 10:[45, 40, 5] Operation: 82-77=5 Moving to Node #0,2 Current State: 10:[45, 40, 5], Operations: ['82-77=5'] Exploring Operation: 45-40=5, Resulting Numbers: [5, 5] Generated Node #0,2,1: 10:[5, 5] Operation: 45-40=5 Moving to Node #0,2,1 Current State: 10:[5, 5], Operations: ['82-77=5', '45-40=5'] Exploring Operation: 5+5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached Exit Sub Search at level 1
0.984375
hs_5
sum_heuristic
[ 89, 5, 59, 16 ]
19
[ "89+5=94", "59+16=75", "94-75=19" ]
Current State: 19:[89, 5, 59, 16], Operations: [] Exploring Operation: 89+5=94, Resulting Numbers: [59, 16, 94] Generated Node #2: [59, 16, 94] from Operation: 89+5=94 Current State: 19:[59, 16, 94], Operations: ['89+5=94'] Exploring Operation: 59+16=75, Resulting Numbers: [94, 75] Generated Node #3: [94, 75] from Operation: 59+16=75 Current State: 19:[94, 75], Operations: ['89+5=94', '59+16=75'] Exploring Operation: 94-75=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
Current State: 19:[89, 5, 59, 16], Operations: [] Exploring Operation: 89-16=73, Resulting Numbers: [5, 59, 73] Generated Node #0,0: 19:[5, 59, 73] Operation: 89-16=73 Exploring Operation: 59-5=54, Resulting Numbers: [89, 16, 54] Generated Node #0,1: 19:[89, 16, 54] Operation: 59-5=54 Exploring Operation: 89-5=84, Resulting Numbers: [59, 16, 84] Generated Node #0,2: 19:[59, 16, 84] Operation: 89-5=84 Exploring Operation: 59-16=43, Resulting Numbers: [89, 5, 43] Generated Node #0,3: 19:[89, 5, 43] Operation: 59-16=43 Exploring Operation: 89-59=30, Resulting Numbers: [5, 16, 30] Generated Node #0,4: 19:[5, 16, 30] Operation: 89-59=30 Moving to Node #0,4 Current State: 19:[5, 16, 30], Operations: ['89-59=30'] Exploring Operation: 16-5=11, Resulting Numbers: [30, 11] Generated Node #0,4,0: 19:[30, 11] Operation: 16-5=11 Exploring Operation: 30/5=6, Resulting Numbers: [16, 6] Generated Node #0,4,1: 19:[16, 6] Operation: 30/5=6 Exploring Operation: 30-5=25, Resulting Numbers: [16, 25] Generated Node #0,4,2: 19:[16, 25] Operation: 30-5=25 Exploring Operation: 5+16=21, Resulting Numbers: [30, 21] Generated Node #0,4,3: 19:[30, 21] Operation: 5+16=21 Exploring Operation: 5+30=35, Resulting Numbers: [16, 35] Generated Node #0,4,4: 19:[16, 35] Operation: 5+30=35 Moving to Node #0,1 Current State: 19:[89, 16, 54], Operations: ['59-5=54'] Exploring Operation: 54-16=38, Resulting Numbers: [89, 38] Generated Node #0,1,0: 19:[89, 38] Operation: 54-16=38 Exploring Operation: 89+16=105, Resulting Numbers: [54, 105] Generated Node #0,1,1: 19:[54, 105] Operation: 89+16=105 Exploring Operation: 16+54=70, Resulting Numbers: [89, 70] Generated Node #0,1,2: 19:[89, 70] Operation: 16+54=70 Exploring Operation: 89-54=35, Resulting Numbers: [16, 35] Generated Node #0,1,3: 19:[16, 35] Operation: 89-54=35 Exploring Operation: 89-16=73, Resulting Numbers: [54, 73] Generated Node #0,1,4: 19:[54, 73] Operation: 89-16=73 Moving to Node #0,3 Current State: 19:[89, 5, 43], Operations: ['59-16=43'] Exploring Operation: 89-5=84, Resulting Numbers: [43, 84] Generated Node #0,3,0: 19:[43, 84] Operation: 89-5=84 Exploring Operation: 89-43=46, Resulting Numbers: [5, 46] Generated Node #0,3,1: 19:[5, 46] Operation: 89-43=46 Exploring Operation: 89+5=94, Resulting Numbers: [43, 94] Generated Node #0,3,2: 19:[43, 94] Operation: 89+5=94 Exploring Operation: 5+43=48, Resulting Numbers: [89, 48] Generated Node #0,3,3: 19:[89, 48] Operation: 5+43=48 Exploring Operation: 43-5=38, Resulting Numbers: [89, 38] Generated Node #0,3,4: 19:[89, 38] Operation: 43-5=38 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 19:[5, 46], Operations: ['59-16=43', '89-43=46'] Exploring Operation: 5*46=230, Resulting Numbers: [230] 230,19 unequal: No Solution Exploring Operation: 5+46=51, Resulting Numbers: [51] 51,19 unequal: No Solution Exploring Operation: 46-5=41, Resulting Numbers: [41] 41,19 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 #0,3,0 Current State: 19:[43, 84], Operations: ['59-16=43', '89-5=84'] Exploring Operation: 43*84=3612, Resulting Numbers: [3612] 3612,19 unequal: No Solution Exploring Operation: 84-43=41, Resulting Numbers: [41] 41,19 unequal: No Solution Exploring Operation: 43+84=127, Resulting Numbers: [127] 127,19 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 #0,3,4 Current State: 19:[89, 38], Operations: ['59-16=43', '43-5=38'] Exploring Operation: 89+38=127, Resulting Numbers: [127] 127,19 unequal: No Solution Exploring Operation: 89-38=51, Resulting Numbers: [51] 51,19 unequal: No Solution Exploring Operation: 89*38=3382, Resulting Numbers: [3382] 3382,19 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 #0,3,2 Current State: 19:[43, 94], Operations: ['59-16=43', '89+5=94'] Exploring Operation: 43+94=137, Resulting Numbers: [137] 137,19 unequal: No Solution Exploring Operation: 94-43=51, Resulting Numbers: [51] 51,19 unequal: No Solution Exploring Operation: 43*94=4042, Resulting Numbers: [4042] 4042,19 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 #0,3,3 Current State: 19:[89, 48], Operations: ['59-16=43', '5+43=48'] Exploring Operation: 89+48=137, Resulting Numbers: [137] 137,19 unequal: No Solution Exploring Operation: 89-48=41, Resulting Numbers: [41] 41,19 unequal: No Solution Exploring Operation: 89*48=4272, Resulting Numbers: [4272] 4272,19 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: 19:[5, 59, 73], Operations: ['89-16=73'] Exploring Operation: 5+73=78, Resulting Numbers: [59, 78] Generated Node #0,0,0: 19:[59, 78] Operation: 5+73=78 Exploring Operation: 5+59=64, Resulting Numbers: [73, 64] Generated Node #0,0,1: 19:[73, 64] Operation: 5+59=64 Exploring Operation: 59-5=54, Resulting Numbers: [73, 54] Generated Node #0,0,2: 19:[73, 54] Operation: 59-5=54 Exploring Operation: 73-59=14, Resulting Numbers: [5, 14] Generated Node #0,0,3: 19:[5, 14] Operation: 73-59=14 Exploring Operation: 73-5=68, Resulting Numbers: [59, 68] Generated Node #0,0,4: 19:[59, 68] Operation: 73-5=68 Moving to Node #0,2 Current State: 19:[59, 16, 84], Operations: ['89-5=84'] Exploring Operation: 59+16=75, Resulting Numbers: [84, 75] Generated Node #0,2,0: 19:[84, 75] Operation: 59+16=75 Exploring Operation: 84-16=68, Resulting Numbers: [59, 68] Generated Node #0,2,1: 19:[59, 68] Operation: 84-16=68 Exploring Operation: 16+84=100, Resulting Numbers: [59, 100] Generated Node #0,2,2: 19:[59, 100] Operation: 16+84=100 Exploring Operation: 59-16=43, Resulting Numbers: [84, 43] Generated Node #0,2,3: 19:[84, 43] Operation: 59-16=43 Exploring Operation: 84-59=25, Resulting Numbers: [16, 25] Generated Node #0,2,4: 19:[16, 25] Operation: 84-59=25 Moving to Node #0,4,2 Current State: 19:[16, 25], Operations: ['89-59=30', '30-5=25'] Exploring Operation: 16*25=400, Resulting Numbers: [400] 400,19 unequal: No Solution Exploring Operation: 25-16=9, Resulting Numbers: [9] 9,19 unequal: No Solution Exploring Operation: 16+25=41, Resulting Numbers: [41] 41,19 unequal: No Solution Moving to Node #0,2,4 Current State: 19:[16, 25], Operations: ['89-5=84', '84-59=25'] Exploring Operation: 25-16=9, Resulting Numbers: [9] 9,19 unequal: No Solution Exploring Operation: 16+25=41, Resulting Numbers: [41] 41,19 unequal: No Solution Exploring Operation: 16*25=400, Resulting Numbers: [400] 400,19 unequal: No Solution Moving to Node #0,4,3 Current State: 19:[30, 21], Operations: ['89-59=30', '5+16=21'] Exploring Operation: 30-21=9, Resulting Numbers: [9] 9,19 unequal: No Solution Exploring Operation: 30*21=630, Resulting Numbers: [630] 630,19 unequal: No Solution Exploring Operation: 30+21=51, Resulting Numbers: [51] 51,19 unequal: No Solution Moving to Node #0,4,1 Current State: 19:[16, 6], Operations: ['89-59=30', '30/5=6'] Exploring Operation: 16+6=22, Resulting Numbers: [22] 22,19 unequal: No Solution Exploring Operation: 16-6=10, Resulting Numbers: [10] 10,19 unequal: No Solution Exploring Operation: 16*6=96, Resulting Numbers: [96] 96,19 unequal: No Solution Moving to Node #0,1,3 Current State: 19:[16, 35], Operations: ['59-5=54', '89-54=35'] Exploring Operation: 35-16=19, Resulting Numbers: [19] 19,19 equal: Goal Reached Moving to Node #0 Current State: 19:[89, 5, 59, 16], Operations: [] Exploring Operation: 59-5=54, Resulting Numbers: [89, 16, 54] Generated Node #0,1: 19:[89, 16, 54] Operation: 59-5=54 Moving to Node #0,1 Current State: 19:[89, 16, 54], Operations: ['59-5=54'] Exploring Operation: 89-54=35, Resulting Numbers: [16, 35] Generated Node #0,1,3: 19:[16, 35] Operation: 89-54=35 Moving to Node #0,1,3 Current State: 19:[16, 35], Operations: ['59-5=54', '89-54=35'] Exploring Operation: 35-16=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
0.946181
hs_5
sum_heuristic
[ 37, 50, 75, 8 ]
54
[ "50-37=13", "75-8=67", "67-13=54" ]
Current State: 54:[37, 50, 75, 8], Operations: [] Exploring Operation: 50-37=13, Resulting Numbers: [75, 8, 13] Generated Node #2: [75, 8, 13] from Operation: 50-37=13 Current State: 54:[75, 8, 13], Operations: ['50-37=13'] Exploring Operation: 75-8=67, Resulting Numbers: [13, 67] Generated Node #3: [13, 67] from Operation: 75-8=67 Current State: 54:[13, 67], Operations: ['50-37=13', '75-8=67'] Exploring Operation: 67-13=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
Current State: 54:[37, 50, 75, 8], Operations: [] Exploring Operation: 75-37=38, Resulting Numbers: [50, 8, 38] Generated Node #0,0: 54:[50, 8, 38] Operation: 75-37=38 Exploring Operation: 75-50=25, Resulting Numbers: [37, 8, 25] Generated Node #0,1: 54:[37, 8, 25] Operation: 75-50=25 Exploring Operation: 50-37=13, Resulting Numbers: [75, 8, 13] Generated Node #0,2: 54:[75, 8, 13] Operation: 50-37=13 Start Sub Search at level 1: Moving to Node #0,1 Current State: 54:[37, 8, 25], Operations: ['75-50=25'] Exploring Operation: 37+25=62, Resulting Numbers: [8, 62] Generated Node #0,1,0: 54:[8, 62] Operation: 37+25=62 Exploring Operation: 37-8=29, Resulting Numbers: [25, 29] Generated Node #0,1,1: 54:[25, 29] Operation: 37-8=29 Exploring Operation: 37-25=12, Resulting Numbers: [8, 12] Generated Node #0,1,2: 54:[8, 12] Operation: 37-25=12 Moving to Node #0,1,1 Current State: 54:[25, 29], Operations: ['75-50=25', '37-8=29'] Exploring Operation: 25+29=54, Resulting Numbers: [54] 54,54 equal: Goal Reached Moving to Node #0 Current State: 54:[37, 50, 75, 8], Operations: [] Exploring Operation: 75-50=25, Resulting Numbers: [37, 8, 25] Generated Node #0,1: 54:[37, 8, 25] Operation: 75-50=25 Moving to Node #0,1 Current State: 54:[37, 8, 25], Operations: ['75-50=25'] Exploring Operation: 37-8=29, Resulting Numbers: [25, 29] Generated Node #0,1,1: 54:[25, 29] Operation: 37-8=29 Moving to Node #0,1,1 Current State: 54:[25, 29], Operations: ['75-50=25', '37-8=29'] Exploring Operation: 25+29=54, Resulting Numbers: [54] 54,54 equal: Goal Reached Exit Sub Search at level 1
0.990451
hs_3
sum_heuristic
[ 96, 15, 89, 74 ]
82
[ "96-15=81", "89+74=163", "163-81=82" ]
Current State: 82:[96, 15, 89, 74], Operations: [] Exploring Operation: 96-15=81, Resulting Numbers: [89, 74, 81] Generated Node #2: [89, 74, 81] from Operation: 96-15=81 Current State: 82:[89, 74, 81], Operations: ['96-15=81'] Exploring Operation: 89+74=163, Resulting Numbers: [81, 163] Generated Node #3: [81, 163] from Operation: 89+74=163 Current State: 82:[81, 163], Operations: ['96-15=81', '89+74=163'] Exploring Operation: 163-81=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
Current State: 82:[96, 15, 89, 74], Operations: [] Exploring Operation: 96-89=7, Resulting Numbers: [15, 74, 7] Generated Node #0,0: 82:[15, 74, 7] Operation: 96-89=7 Exploring Operation: 96-15=81, Resulting Numbers: [89, 74, 81] Generated Node #0,1: 82:[89, 74, 81] Operation: 96-15=81 Start Sub Search at level 1: Moving to Node #0,1 Current State: 82:[89, 74, 81], Operations: ['96-15=81'] Exploring Operation: 81-74=7, Resulting Numbers: [89, 7] Generated Node #0,1,0: 82:[89, 7] Operation: 81-74=7 Exploring Operation: 89-74=15, Resulting Numbers: [81, 15] Generated Node #0,1,1: 82:[81, 15] Operation: 89-74=15 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 82:[89, 7], Operations: ['96-15=81', '81-74=7'] Exploring Operation: 89-7=82, Resulting Numbers: [82] 82,82 equal: Goal Reached Moving to Node #0 Current State: 82:[96, 15, 89, 74], Operations: [] Exploring Operation: 96-15=81, Resulting Numbers: [89, 74, 81] Generated Node #0,1: 82:[89, 74, 81] Operation: 96-15=81 Moving to Node #0,1 Current State: 82:[89, 74, 81], Operations: ['96-15=81'] Exploring Operation: 81-74=7, Resulting Numbers: [89, 7] Generated Node #0,1,0: 82:[89, 7] Operation: 81-74=7 Moving to Node #0,1,0 Current State: 82:[89, 7], Operations: ['96-15=81', '81-74=7'] Exploring Operation: 89-7=82, Resulting Numbers: [82] 82,82 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.992188
hs_2
sum_heuristic
[ 94, 69, 45, 3 ]
10
[ "94-69=25", "45/3=15", "25-15=10" ]
Current State: 10:[94, 69, 45, 3], Operations: [] Exploring Operation: 94-69=25, Resulting Numbers: [45, 3, 25] Generated Node #2: [45, 3, 25] from Operation: 94-69=25 Current State: 10:[45, 3, 25], Operations: ['94-69=25'] Exploring Operation: 45/3=15, Resulting Numbers: [25, 15] Generated Node #3: [25, 15] from Operation: 45/3=15 Current State: 10:[25, 15], Operations: ['94-69=25', '45/3=15'] Exploring Operation: 25-15=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
Current State: 10:[94, 69, 45, 3], Operations: [] Exploring Operation: 94-45=49, Resulting Numbers: [69, 3, 49] Generated Node #0,0: 10:[69, 3, 49] Operation: 94-45=49 Exploring Operation: 94-69=25, Resulting Numbers: [45, 3, 25] Generated Node #0,1: 10:[45, 3, 25] Operation: 94-69=25 Moving to Node #0,1 Current State: 10:[45, 3, 25], Operations: ['94-69=25'] Exploring Operation: 45-25=20, Resulting Numbers: [3, 20] Generated Node #0,1,0: 10:[3, 20] Operation: 45-25=20 Exploring Operation: 45/3=15, Resulting Numbers: [25, 15] Generated Node #0,1,1: 10:[25, 15] Operation: 45/3=15 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 10:[3, 20], Operations: ['94-69=25', '45-25=20'] Exploring Operation: 20-3=17, Resulting Numbers: [17] 17,10 unequal: No Solution Exploring Operation: 3+20=23, Resulting Numbers: [23] 23,10 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 #0,1,1 Current State: 10:[25, 15], Operations: ['94-69=25', '45/3=15'] Exploring Operation: 25+15=40, Resulting Numbers: [40] 40,10 unequal: No Solution Exploring Operation: 25-15=10, Resulting Numbers: [10] 10,10 equal: Goal Reached Moving to Node #0 Current State: 10:[94, 69, 45, 3], Operations: [] Exploring Operation: 94-69=25, Resulting Numbers: [45, 3, 25] Generated Node #0,1: 10:[45, 3, 25] Operation: 94-69=25 Moving to Node #0,1 Current State: 10:[45, 3, 25], Operations: ['94-69=25'] Exploring Operation: 45/3=15, Resulting Numbers: [25, 15] Generated Node #0,1,1: 10:[25, 15] Operation: 45/3=15 Moving to Node #0,1,1 Current State: 10:[25, 15], Operations: ['94-69=25', '45/3=15'] Exploring Operation: 25-15=10, Resulting Numbers: [10] 10,10 equal: Goal Reached Exit Sub Search at level 1
0.989583
hs_2
sum_heuristic
[ 84, 26, 92, 22 ]
81
[ "92-26=66", "66/22=3", "84-3=81" ]
Current State: 81:[84, 26, 92, 22], Operations: [] Exploring Operation: 92-26=66, Resulting Numbers: [84, 22, 66] Generated Node #2: [84, 22, 66] from Operation: 92-26=66 Current State: 81:[84, 22, 66], Operations: ['92-26=66'] Exploring Operation: 66/22=3, Resulting Numbers: [84, 3] Generated Node #3: [84, 3] from Operation: 66/22=3 Current State: 81:[84, 3], Operations: ['92-26=66', '66/22=3'] Exploring Operation: 84-3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
Current State: 81:[84, 26, 92, 22], Operations: [] Exploring Operation: 92-84=8, Resulting Numbers: [26, 22, 8] Generated Node #0,0: 81:[26, 22, 8] Operation: 92-84=8 Moving to Node #0,0 Current State: 81:[26, 22, 8], Operations: ['92-84=8'] Exploring Operation: 26-22=4, Resulting Numbers: [8, 4] Generated Node #0,0,0: 81:[8, 4] Operation: 26-22=4 Moving to Node #0,0,0 Current State: 81:[8, 4], Operations: ['92-84=8', '26-22=4'] Exploring Operation: 8-4=4, Resulting Numbers: [4] 4,81 unequal: No Solution No solution found.
0
hs_1
mult_heuristic
[ 17, 69, 8, 11 ]
40
[ "11-8=3", "69/3=23", "17+23=40" ]
Current State: 40:[17, 69, 8, 11], Operations: [] Exploring Operation: 11-8=3, Resulting Numbers: [17, 69, 3] Generated Node #2: [17, 69, 3] from Operation: 11-8=3 Current State: 40:[17, 69, 3], Operations: ['11-8=3'] Exploring Operation: 69/3=23, Resulting Numbers: [17, 23] Generated Node #3: [17, 23] from Operation: 69/3=23 Current State: 40:[17, 23], Operations: ['11-8=3', '69/3=23'] Exploring Operation: 17+23=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
Current State: 40:[17, 69, 8, 11], Operations: [] Exploring Operation: 69-11=58, Resulting Numbers: [17, 8, 58] Generated Node #0,0: 40:[17, 8, 58] Operation: 69-11=58 Exploring Operation: 69-8=61, Resulting Numbers: [17, 11, 61] Generated Node #0,1: 40:[17, 11, 61] Operation: 69-8=61 Exploring Operation: 69-17=52, Resulting Numbers: [8, 11, 52] Generated Node #0,2: 40:[8, 11, 52] Operation: 69-17=52 Moving to Node #0,2 Current State: 40:[8, 11, 52], Operations: ['69-17=52'] Exploring Operation: 52-11=41, Resulting Numbers: [8, 41] Generated Node #0,2,0: 40:[8, 41] Operation: 52-11=41 Exploring Operation: 52-8=44, Resulting Numbers: [11, 44] Generated Node #0,2,1: 40:[11, 44] Operation: 52-8=44 Exploring Operation: 8+11=19, Resulting Numbers: [52, 19] Generated Node #0,2,2: 40:[52, 19] Operation: 8+11=19 Moving to Node #0,0 Current State: 40:[17, 8, 58], Operations: ['69-11=58'] Exploring Operation: 58-8=50, Resulting Numbers: [17, 50] Generated Node #0,0,0: 40:[17, 50] Operation: 58-8=50 Exploring Operation: 17-8=9, Resulting Numbers: [58, 9] Generated Node #0,0,1: 40:[58, 9] Operation: 17-8=9 Exploring Operation: 58-17=41, Resulting Numbers: [8, 41] Generated Node #0,0,2: 40:[8, 41] Operation: 58-17=41 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 40:[8, 41], Operations: ['69-11=58', '58-17=41'] Exploring Operation: 8+41=49, Resulting Numbers: [49] 49,40 unequal: No Solution Exploring Operation: 41-8=33, Resulting Numbers: [33] 33,40 unequal: No Solution Exploring Operation: 8*41=328, Resulting Numbers: [328] 328,40 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: 40:[17, 50], Operations: ['69-11=58', '58-8=50'] Exploring Operation: 17*50=850, Resulting Numbers: [850] 850,40 unequal: No Solution Exploring Operation: 50-17=33, Resulting Numbers: [33] 33,40 unequal: No Solution Exploring Operation: 17+50=67, Resulting Numbers: [67] 67,40 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: 40:[58, 9], Operations: ['69-11=58', '17-8=9'] Exploring Operation: 58*9=522, Resulting Numbers: [522] 522,40 unequal: No Solution Exploring Operation: 58-9=49, Resulting Numbers: [49] 49,40 unequal: No Solution Exploring Operation: 58+9=67, Resulting Numbers: [67] 67,40 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: 40:[17, 11, 61], Operations: ['69-8=61'] Exploring Operation: 17-11=6, Resulting Numbers: [61, 6] Generated Node #0,1,0: 40:[61, 6] Operation: 17-11=6 Exploring Operation: 61-17=44, Resulting Numbers: [11, 44] Generated Node #0,1,1: 40:[11, 44] Operation: 61-17=44 Exploring Operation: 61-11=50, Resulting Numbers: [17, 50] Generated Node #0,1,2: 40:[17, 50] Operation: 61-11=50 Moving to Node #0,2,0 Current State: 40:[8, 41], Operations: ['69-17=52', '52-11=41'] Exploring Operation: 8+41=49, Resulting Numbers: [49] 49,40 unequal: No Solution Exploring Operation: 41-8=33, Resulting Numbers: [33] 33,40 unequal: No Solution Exploring Operation: 8*41=328, Resulting Numbers: [328] 328,40 unequal: No Solution Moving to Node #0,2,1 Current State: 40:[11, 44], Operations: ['69-17=52', '52-8=44'] Exploring Operation: 44/11=4, Resulting Numbers: [4] 4,40 unequal: No Solution Exploring Operation: 44-11=33, Resulting Numbers: [33] 33,40 unequal: No Solution Exploring Operation: 11+44=55, Resulting Numbers: [55] 55,40 unequal: No Solution Moving to Node #0,1,1 Current State: 40:[11, 44], Operations: ['69-8=61', '61-17=44'] Exploring Operation: 44-11=33, Resulting Numbers: [33] 33,40 unequal: No Solution Exploring Operation: 11+44=55, Resulting Numbers: [55] 55,40 unequal: No Solution Exploring Operation: 44/11=4, Resulting Numbers: [4] 4,40 unequal: No Solution Moving to Node #0,2,2 Current State: 40:[52, 19], Operations: ['69-17=52', '8+11=19'] Exploring Operation: 52*19=988, Resulting Numbers: [988] 988,40 unequal: No Solution Exploring Operation: 52-19=33, Resulting Numbers: [33] 33,40 unequal: No Solution Exploring Operation: 52+19=71, Resulting Numbers: [71] 71,40 unequal: No Solution Moving to Node #0,1,2 Current State: 40:[17, 50], Operations: ['69-8=61', '61-11=50'] Exploring Operation: 50-17=33, Resulting Numbers: [33] 33,40 unequal: No Solution Exploring Operation: 17+50=67, Resulting Numbers: [67] 67,40 unequal: No Solution Exploring Operation: 17*50=850, Resulting Numbers: [850] 850,40 unequal: No Solution Moving to Node #0,1,0 Current State: 40:[61, 6], Operations: ['69-8=61', '17-11=6'] Exploring Operation: 61*6=366, Resulting Numbers: [366] 366,40 unequal: No Solution Exploring Operation: 61-6=55, Resulting Numbers: [55] 55,40 unequal: No Solution Exploring Operation: 61+6=67, Resulting Numbers: [67] 67,40 unequal: No Solution No solution found.
0
hs_3
sum_heuristic
[ 58, 15, 71, 41 ]
82
[ "58+15=73", "73-71=2", "41*2=82" ]
Current State: 82:[58, 15, 71, 41], Operations: [] Exploring Operation: 58+15=73, Resulting Numbers: [71, 41, 73] Generated Node #2: [71, 41, 73] from Operation: 58+15=73 Current State: 82:[71, 41, 73], Operations: ['58+15=73'] Exploring Operation: 73-71=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 73-71=2 Current State: 82:[41, 2], Operations: ['58+15=73', '73-71=2'] Exploring Operation: 41*2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
Current State: 82:[58, 15, 71, 41], Operations: [] Exploring Operation: 58-15=43, Resulting Numbers: [71, 41, 43] Generated Node #0,0: 82:[71, 41, 43] Operation: 58-15=43 Exploring Operation: 58+15=73, Resulting Numbers: [71, 41, 73] Generated Node #0,1: 82:[71, 41, 73] Operation: 58+15=73 Exploring Operation: 15+71=86, Resulting Numbers: [58, 41, 86] Generated Node #0,2: 82:[58, 41, 86] Operation: 15+71=86 Exploring Operation: 71-15=56, Resulting Numbers: [58, 41, 56] Generated Node #0,3: 82:[58, 41, 56] Operation: 71-15=56 Exploring Operation: 71-58=13, Resulting Numbers: [15, 41, 13] Generated Node #0,4: 82:[15, 41, 13] Operation: 71-58=13 Start Sub Search at level 1: Moving to Node #0,0 Current State: 82:[71, 41, 43], Operations: ['58-15=43'] Exploring Operation: 43-41=2, Resulting Numbers: [71, 2] Generated Node #0,0,0: 82:[71, 2] Operation: 43-41=2 Exploring Operation: 71-41=30, Resulting Numbers: [43, 30] Generated Node #0,0,1: 82:[43, 30] Operation: 71-41=30 Exploring Operation: 71-43=28, Resulting Numbers: [41, 28] Generated Node #0,0,2: 82:[41, 28] Operation: 71-43=28 Exploring Operation: 71+41=112, Resulting Numbers: [43, 112] Generated Node #0,0,3: 82:[43, 112] Operation: 71+41=112 Exploring Operation: 41+43=84, Resulting Numbers: [71, 84] Generated Node #0,0,4: 82:[71, 84] Operation: 41+43=84 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 82:[71, 2], Operations: ['58-15=43', '43-41=2'] Exploring Operation: 71*2=142, Resulting Numbers: [142] 142,82 unequal: No Solution Exploring Operation: 71+2=73, Resulting Numbers: [73] 73,82 unequal: No Solution Exploring Operation: 71-2=69, Resulting Numbers: [69] 69,82 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: 82:[43, 30], Operations: ['58-15=43', '71-41=30'] Exploring Operation: 43*30=1290, Resulting Numbers: [1290] 1290,82 unequal: No Solution Exploring Operation: 43-30=13, Resulting Numbers: [13] 13,82 unequal: No Solution Exploring Operation: 43+30=73, Resulting Numbers: [73] 73,82 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: 82:[41, 28], Operations: ['58-15=43', '71-43=28'] Exploring Operation: 41*28=1148, Resulting Numbers: [1148] 1148,82 unequal: No Solution Exploring Operation: 41-28=13, Resulting Numbers: [13] 13,82 unequal: No Solution Exploring Operation: 41+28=69, Resulting Numbers: [69] 69,82 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: 82:[71, 84], Operations: ['58-15=43', '41+43=84'] Exploring Operation: 71*84=5964, Resulting Numbers: [5964] 5964,82 unequal: No Solution Exploring Operation: 84-71=13, Resulting Numbers: [13] 13,82 unequal: No Solution Exploring Operation: 71+84=155, Resulting Numbers: [155] 155,82 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: 82:[43, 112], Operations: ['58-15=43', '71+41=112'] Exploring Operation: 112-43=69, Resulting Numbers: [69] 69,82 unequal: No Solution Exploring Operation: 43+112=155, Resulting Numbers: [155] 155,82 unequal: No Solution Exploring Operation: 43*112=4816, Resulting Numbers: [4816] 4816,82 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: 82:[71, 41, 73], Operations: ['58+15=73'] Exploring Operation: 71+41=112, Resulting Numbers: [73, 112] Generated Node #0,1,0: 82:[73, 112] Operation: 71+41=112 Exploring Operation: 73-71=2, Resulting Numbers: [41, 2] Generated Node #0,1,1: 82:[41, 2] Operation: 73-71=2 Exploring Operation: 71-41=30, Resulting Numbers: [73, 30] Generated Node #0,1,2: 82:[73, 30] Operation: 71-41=30 Exploring Operation: 41+73=114, Resulting Numbers: [71, 114] Generated Node #0,1,3: 82:[71, 114] Operation: 41+73=114 Exploring Operation: 73-41=32, Resulting Numbers: [71, 32] Generated Node #0,1,4: 82:[71, 32] Operation: 73-41=32 Moving to Node #0,1,1 Current State: 82:[41, 2], Operations: ['58+15=73', '73-71=2'] Exploring Operation: 41+2=43, Resulting Numbers: [43] 43,82 unequal: No Solution Exploring Operation: 41*2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached Moving to Node #0 Current State: 82:[58, 15, 71, 41], Operations: [] Exploring Operation: 58+15=73, Resulting Numbers: [71, 41, 73] Generated Node #0,1: 82:[71, 41, 73] Operation: 58+15=73 Moving to Node #0,1 Current State: 82:[71, 41, 73], Operations: ['58+15=73'] Exploring Operation: 73-71=2, Resulting Numbers: [41, 2] Generated Node #0,1,1: 82:[41, 2] Operation: 73-71=2 Moving to Node #0,1,1 Current State: 82:[41, 2], Operations: ['58+15=73', '73-71=2'] Exploring Operation: 41*2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached Exit Sub Search at level 1
0.96875
hs_5
sum_heuristic
[ 10, 40, 26, 32 ]
100
[ "32-26=6", "10*6=60", "40+60=100" ]
Current State: 100:[10, 40, 26, 32], Operations: [] Exploring Operation: 32-26=6, Resulting Numbers: [10, 40, 6] Generated Node #2: [10, 40, 6] from Operation: 32-26=6 Current State: 100:[10, 40, 6], Operations: ['32-26=6'] Exploring Operation: 10*6=60, Resulting Numbers: [40, 60] Generated Node #3: [40, 60] from Operation: 10*6=60 Current State: 100:[40, 60], Operations: ['32-26=6', '10*6=60'] Exploring Operation: 40+60=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
Current State: 100:[10, 40, 26, 32], Operations: [] Exploring Operation: 40-32=8, Resulting Numbers: [10, 26, 8] Generated Node #0,0: 100:[10, 26, 8] Operation: 40-32=8 Start Sub Search at level 1: Moving to Node #0,0 Current State: 100:[10, 26, 8], Operations: ['40-32=8'] Exploring Operation: 10-8=2, Resulting Numbers: [26, 2] Generated Node #0,0,0: 100:[26, 2] Operation: 10-8=2 Moving to Node #0,0,0 Current State: 100:[26, 2], Operations: ['40-32=8', '10-8=2'] Exploring Operation: 26-2=24, Resulting Numbers: [24] 24,100 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
[ 11, 89, 45, 40 ]
95
[ "11+89=100", "45-40=5", "100-5=95" ]
Current State: 95:[11, 89, 45, 40], Operations: [] Exploring Operation: 11+89=100, Resulting Numbers: [45, 40, 100] Generated Node #2: [45, 40, 100] from Operation: 11+89=100 Current State: 95:[45, 40, 100], Operations: ['11+89=100'] Exploring Operation: 45-40=5, Resulting Numbers: [100, 5] Generated Node #3: [100, 5] from Operation: 45-40=5 Current State: 95:[100, 5], Operations: ['11+89=100', '45-40=5'] Exploring Operation: 100-5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
Current State: 95:[11, 89, 45, 40], Operations: [] Exploring Operation: 45-40=5, Resulting Numbers: [11, 89, 5] Generated Node #0,0: 95:[11, 89, 5] Operation: 45-40=5 Exploring Operation: 45+40=85, Resulting Numbers: [11, 89, 85] Generated Node #0,1: 95:[11, 89, 85] Operation: 45+40=85 Moving to Node #0,0 Current State: 95:[11, 89, 5], Operations: ['45-40=5'] Exploring Operation: 11+89=100, Resulting Numbers: [5, 100] Generated Node #0,0,0: 95:[5, 100] Operation: 11+89=100 Exploring Operation: 11-5=6, Resulting Numbers: [89, 6] Generated Node #0,0,1: 95:[89, 6] Operation: 11-5=6 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 95:[5, 100], Operations: ['45-40=5', '11+89=100'] Exploring Operation: 100/5=20, Resulting Numbers: [20] 20,95 unequal: No Solution Exploring Operation: 100-5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached Moving to Node #0 Current State: 95:[11, 89, 45, 40], Operations: [] Exploring Operation: 45-40=5, Resulting Numbers: [11, 89, 5] Generated Node #0,0: 95:[11, 89, 5] Operation: 45-40=5 Moving to Node #0,0 Current State: 95:[11, 89, 5], Operations: ['45-40=5'] Exploring Operation: 11+89=100, Resulting Numbers: [5, 100] Generated Node #0,0,0: 95:[5, 100] Operation: 11+89=100 Moving to Node #0,0,0 Current State: 95:[5, 100], Operations: ['45-40=5', '11+89=100'] Exploring Operation: 100-5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached Exit Sub Search at level 1
0.991319
hs_2
sum_heuristic
[ 54, 95, 93, 45 ]
97
[ "95-54=41", "93+45=138", "138-41=97" ]
Current State: 97:[54, 95, 93, 45], Operations: [] Exploring Operation: 95-54=41, Resulting Numbers: [93, 45, 41] Generated Node #2: [93, 45, 41] from Operation: 95-54=41 Current State: 97:[93, 45, 41], Operations: ['95-54=41'] Exploring Operation: 93+45=138, Resulting Numbers: [41, 138] Generated Node #3: [41, 138] from Operation: 93+45=138 Current State: 97:[41, 138], Operations: ['95-54=41', '93+45=138'] Exploring Operation: 138-41=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
Current State: 97:[54, 95, 93, 45], Operations: [] Exploring Operation: 54+45=99, Resulting Numbers: [95, 93, 99] Generated Node #0,0: 97:[95, 93, 99] Operation: 54+45=99 Moving to Node #0,0 Current State: 97:[95, 93, 99], Operations: ['54+45=99'] Exploring Operation: 95+93=188, Resulting Numbers: [99, 188] Generated Node #0,0,0: 97:[99, 188] Operation: 95+93=188 Moving to Node #0,0,0 Current State: 97:[99, 188], Operations: ['54+45=99', '95+93=188'] Exploring Operation: 188-99=89, Resulting Numbers: [89] 89,97 unequal: No Solution No solution found.
0
hs_1
sum_heuristic
[ 33, 6, 9, 11 ]
22
[ "9-6=3", "33/3=11", "11+11=22" ]
Current State: 22:[33, 6, 9, 11], Operations: [] Exploring Operation: 9-6=3, Resulting Numbers: [33, 11, 3] Generated Node #2: [33, 11, 3] from Operation: 9-6=3 Current State: 22:[33, 11, 3], Operations: ['9-6=3'] Exploring Operation: 33/3=11, Resulting Numbers: [11, 11] Generated Node #3: [11, 11] from Operation: 33/3=11 Current State: 22:[11, 11], Operations: ['9-6=3', '33/3=11'] Exploring Operation: 11+11=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
Current State: 22:[33, 6, 9, 11], Operations: [] Exploring Operation: 33-9=24, Resulting Numbers: [6, 11, 24] Generated Node #0,0: 22:[6, 11, 24] Operation: 33-9=24 Exploring Operation: 33-11=22, Resulting Numbers: [6, 9, 22] Generated Node #0,1: 22:[6, 9, 22] Operation: 33-11=22 Moving to Node #0,0 Current State: 22:[6, 11, 24], Operations: ['33-9=24'] Exploring Operation: 24-6=18, Resulting Numbers: [11, 18] Generated Node #0,0,0: 22:[11, 18] Operation: 24-6=18 Exploring Operation: 24/6=4, Resulting Numbers: [11, 4] Generated Node #0,0,1: 22:[11, 4] Operation: 24/6=4 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 22:[11, 4], Operations: ['33-9=24', '24/6=4'] Exploring Operation: 11-4=7, Resulting Numbers: [7] 7,22 unequal: No Solution Exploring Operation: 11+4=15, Resulting Numbers: [15] 15,22 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: 22:[11, 18], Operations: ['33-9=24', '24-6=18'] Exploring Operation: 18-11=7, Resulting Numbers: [7] 7,22 unequal: No Solution Exploring Operation: 11+18=29, Resulting Numbers: [29] 29,22 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: 22:[6, 9, 22], Operations: ['33-11=22'] Exploring Operation: 6+9=15, Resulting Numbers: [22, 15] Generated Node #0,1,0: 22:[22, 15] Operation: 6+9=15 Exploring Operation: 9-6=3, Resulting Numbers: [22, 3] Generated Node #0,1,1: 22:[22, 3] Operation: 9-6=3 Moving to Node #0,1,1 Current State: 22:[22, 3], Operations: ['33-11=22', '9-6=3'] Exploring Operation: 22+3=25, Resulting Numbers: [25] 25,22 unequal: No Solution Exploring Operation: 22-3=19, Resulting Numbers: [19] 19,22 unequal: No Solution Moving to Node #0,1,0 Current State: 22:[22, 15], Operations: ['33-11=22', '6+9=15'] Exploring Operation: 22-15=7, Resulting Numbers: [7] 7,22 unequal: No Solution Exploring Operation: 22+15=37, Resulting Numbers: [37] 37,22 unequal: No Solution No solution found.
0
hs_2
mult_heuristic
[ 1, 16, 90, 93 ]
87
[ "16-1=15", "90/15=6", "93-6=87" ]
Current State: 87:[1, 16, 90, 93], Operations: [] Exploring Operation: 16-1=15, Resulting Numbers: [90, 93, 15] Generated Node #2: [90, 93, 15] from Operation: 16-1=15 Current State: 87:[90, 93, 15], Operations: ['16-1=15'] Exploring Operation: 90/15=6, Resulting Numbers: [93, 6] Generated Node #3: [93, 6] from Operation: 90/15=6 Current State: 87:[93, 6], Operations: ['16-1=15', '90/15=6'] Exploring Operation: 93-6=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
Current State: 87:[1, 16, 90, 93], Operations: [] Exploring Operation: 93-16=77, Resulting Numbers: [1, 90, 77] Generated Node #0,0: 87:[1, 90, 77] Operation: 93-16=77 Exploring Operation: 16-1=15, Resulting Numbers: [90, 93, 15] Generated Node #0,1: 87:[90, 93, 15] Operation: 16-1=15 Exploring Operation: 93-90=3, Resulting Numbers: [1, 16, 3] Generated Node #0,2: 87:[1, 16, 3] Operation: 93-90=3 Exploring Operation: 1+16=17, Resulting Numbers: [90, 93, 17] Generated Node #0,3: 87:[90, 93, 17] Operation: 1+16=17 Moving to Node #0,0 Current State: 87:[1, 90, 77], Operations: ['93-16=77'] Exploring Operation: 1*90=90, Resulting Numbers: [77, 90] Generated Node #0,0,0: 87:[77, 90] Operation: 1*90=90 Exploring Operation: 90-77=13, Resulting Numbers: [1, 13] Generated Node #0,0,1: 87:[1, 13] Operation: 90-77=13 Exploring Operation: 90-1=89, Resulting Numbers: [77, 89] Generated Node #0,0,2: 87:[77, 89] Operation: 90-1=89 Exploring Operation: 1+77=78, Resulting Numbers: [90, 78] Generated Node #0,0,3: 87:[90, 78] Operation: 1+77=78 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 87:[1, 13], Operations: ['93-16=77', '90-77=13'] Exploring Operation: 1+13=14, Resulting Numbers: [14] 14,87 unequal: No Solution Exploring Operation: 1*13=13, Resulting Numbers: [13] 13,87 unequal: No Solution Exploring Operation: 13-1=12, Resulting Numbers: [12] 12,87 unequal: No Solution Exploring Operation: 13/1=13, Resulting Numbers: [13] 13,87 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 #0,0,2 Current State: 87:[77, 89], Operations: ['93-16=77', '90-1=89'] Exploring Operation: 89-77=12, Resulting Numbers: [12] 12,87 unequal: No Solution Exploring Operation: 77+89=166, Resulting Numbers: [166] 166,87 unequal: No Solution Exploring Operation: 77*89=6853, Resulting Numbers: [6853] 6853,87 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 #0,0,3 Current State: 87:[90, 78], Operations: ['93-16=77', '1+77=78'] Exploring Operation: 90+78=168, Resulting Numbers: [168] 168,87 unequal: No Solution Exploring Operation: 90*78=7020, Resulting Numbers: [7020] 7020,87 unequal: No Solution Exploring Operation: 90-78=12, Resulting Numbers: [12] 12,87 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 #0,0,0 Current State: 87:[77, 90], Operations: ['93-16=77', '1*90=90'] Exploring Operation: 77+90=167, Resulting Numbers: [167] 167,87 unequal: No Solution Exploring Operation: 90-77=13, Resulting Numbers: [13] 13,87 unequal: No Solution Exploring Operation: 77*90=6930, Resulting Numbers: [6930] 6930,87 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:[1, 16, 3], Operations: ['93-90=3'] Exploring Operation: 16-3=13, Resulting Numbers: [1, 13] Generated Node #0,2,0: 87:[1, 13] Operation: 16-3=13 Exploring Operation: 1+16=17, Resulting Numbers: [3, 17] Generated Node #0,2,1: 87:[3, 17] Operation: 1+16=17 Exploring Operation: 16+3=19, Resulting Numbers: [1, 19] Generated Node #0,2,2: 87:[1, 19] Operation: 16+3=19 Exploring Operation: 16-1=15, Resulting Numbers: [3, 15] Generated Node #0,2,3: 87:[3, 15] Operation: 16-1=15 Moving to Node #0,3 Current State: 87:[90, 93, 17], Operations: ['1+16=17'] Exploring Operation: 93-17=76, Resulting Numbers: [90, 76] Generated Node #0,3,0: 87:[90, 76] Operation: 93-17=76 Exploring Operation: 90+17=107, Resulting Numbers: [93, 107] Generated Node #0,3,1: 87:[93, 107] Operation: 90+17=107 Exploring Operation: 90-17=73, Resulting Numbers: [93, 73] Generated Node #0,3,2: 87:[93, 73] Operation: 90-17=73 Exploring Operation: 93-90=3, Resulting Numbers: [17, 3] Generated Node #0,3,3: 87:[17, 3] Operation: 93-90=3 Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 87:[17, 3], Operations: ['1+16=17', '93-90=3'] Exploring Operation: 17-3=14, Resulting Numbers: [14] 14,87 unequal: No Solution Exploring Operation: 17+3=20, Resulting Numbers: [20] 20,87 unequal: No Solution Exploring Operation: 17*3=51, Resulting Numbers: [51] 51,87 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:[90, 76], Operations: ['1+16=17', '93-17=76'] Exploring Operation: 90*76=6840, Resulting Numbers: [6840] 6840,87 unequal: No Solution Exploring Operation: 90-76=14, Resulting Numbers: [14] 14,87 unequal: No Solution Exploring Operation: 90+76=166, Resulting Numbers: [166] 166,87 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:[93, 73], Operations: ['1+16=17', '90-17=73'] Exploring Operation: 93+73=166, Resulting Numbers: [166] 166,87 unequal: No Solution Exploring Operation: 93*73=6789, Resulting Numbers: [6789] 6789,87 unequal: No Solution Exploring Operation: 93-73=20, Resulting Numbers: [20] 20,87 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 #0,3,1 Current State: 87:[93, 107], Operations: ['1+16=17', '90+17=107'] Exploring Operation: 93+107=200, Resulting Numbers: [200] 200,87 unequal: No Solution Exploring Operation: 93*107=9951, Resulting Numbers: [9951] 9951,87 unequal: No Solution Exploring Operation: 107-93=14, Resulting Numbers: [14] 14,87 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:[90, 93, 15], Operations: ['16-1=15'] Exploring Operation: 93-90=3, Resulting Numbers: [15, 3] Generated Node #0,1,0: 87:[15, 3] Operation: 93-90=3 Exploring Operation: 90-15=75, Resulting Numbers: [93, 75] Generated Node #0,1,1: 87:[93, 75] Operation: 90-15=75 Exploring Operation: 93-15=78, Resulting Numbers: [90, 78] Generated Node #0,1,2: 87:[90, 78] Operation: 93-15=78 Exploring Operation: 90/15=6, Resulting Numbers: [93, 6] Generated Node #0,1,3: 87:[93, 6] Operation: 90/15=6 Moving to Node #0,1,3 Current State: 87:[93, 6], Operations: ['16-1=15', '90/15=6'] Exploring Operation: 93-6=87, Resulting Numbers: [87] 87,87 equal: Goal Reached Moving to Node #0 Current State: 87:[1, 16, 90, 93], Operations: [] Exploring Operation: 16-1=15, Resulting Numbers: [90, 93, 15] Generated Node #0,1: 87:[90, 93, 15] Operation: 16-1=15 Moving to Node #0,1 Current State: 87:[90, 93, 15], Operations: ['16-1=15'] Exploring Operation: 90/15=6, Resulting Numbers: [93, 6] Generated Node #0,1,3: 87:[93, 6] Operation: 90/15=6 Moving to Node #0,1,3 Current State: 87:[93, 6], Operations: ['16-1=15', '90/15=6'] Exploring Operation: 93-6=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
0.956597
hs_4
sum_heuristic
[ 20, 47, 79, 34 ]
86
[ "47-20=27", "79+34=113", "113-27=86" ]
Current State: 86:[20, 47, 79, 34], Operations: [] Exploring Operation: 47-20=27, Resulting Numbers: [79, 34, 27] Generated Node #2: [79, 34, 27] from Operation: 47-20=27 Current State: 86:[79, 34, 27], Operations: ['47-20=27'] Exploring Operation: 79+34=113, Resulting Numbers: [27, 113] Generated Node #3: [27, 113] from Operation: 79+34=113 Current State: 86:[27, 113], Operations: ['47-20=27', '79+34=113'] Exploring Operation: 113-27=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
Current State: 86:[20, 47, 79, 34], Operations: [] Exploring Operation: 34-20=14, Resulting Numbers: [47, 79, 14] Generated Node #0,0: 86:[47, 79, 14] Operation: 34-20=14 Exploring Operation: 20+79=99, Resulting Numbers: [47, 34, 99] Generated Node #0,1: 86:[47, 34, 99] Operation: 20+79=99 Exploring Operation: 79-34=45, Resulting Numbers: [20, 47, 45] Generated Node #0,2: 86:[20, 47, 45] Operation: 79-34=45 Exploring Operation: 20+34=54, Resulting Numbers: [47, 79, 54] Generated Node #0,3: 86:[47, 79, 54] Operation: 20+34=54 Exploring Operation: 79-20=59, Resulting Numbers: [47, 34, 59] Generated Node #0,4: 86:[47, 34, 59] Operation: 79-20=59 Moving to Node #0,3 Current State: 86:[47, 79, 54], Operations: ['20+34=54'] Exploring Operation: 54-47=7, Resulting Numbers: [79, 7] Generated Node #0,3,0: 86:[79, 7] Operation: 54-47=7 Exploring Operation: 79-47=32, Resulting Numbers: [54, 32] Generated Node #0,3,1: 86:[54, 32] Operation: 79-47=32 Exploring Operation: 79-54=25, Resulting Numbers: [47, 25] Generated Node #0,3,2: 86:[47, 25] Operation: 79-54=25 Exploring Operation: 47+54=101, Resulting Numbers: [79, 101] Generated Node #0,3,3: 86:[79, 101] Operation: 47+54=101 Exploring Operation: 47+79=126, Resulting Numbers: [54, 126] Generated Node #0,3,4: 86:[54, 126] Operation: 47+79=126 Moving to Node #0,0 Current State: 86:[47, 79, 14], Operations: ['34-20=14'] Exploring Operation: 79-47=32, Resulting Numbers: [14, 32] Generated Node #0,0,0: 86:[14, 32] Operation: 79-47=32 Exploring Operation: 47-14=33, Resulting Numbers: [79, 33] Generated Node #0,0,1: 86:[79, 33] Operation: 47-14=33 Exploring Operation: 79+14=93, Resulting Numbers: [47, 93] Generated Node #0,0,2: 86:[47, 93] Operation: 79+14=93 Exploring Operation: 47+14=61, Resulting Numbers: [79, 61] Generated Node #0,0,3: 86:[79, 61] Operation: 47+14=61 Exploring Operation: 79-14=65, Resulting Numbers: [47, 65] Generated Node #0,0,4: 86:[47, 65] Operation: 79-14=65 Moving to Node #0,2 Current State: 86:[20, 47, 45], Operations: ['79-34=45'] Exploring Operation: 45-20=25, Resulting Numbers: [47, 25] Generated Node #0,2,0: 86:[47, 25] Operation: 45-20=25 Exploring Operation: 47-45=2, Resulting Numbers: [20, 2] Generated Node #0,2,1: 86:[20, 2] Operation: 47-45=2 Exploring Operation: 47-20=27, Resulting Numbers: [45, 27] Generated Node #0,2,2: 86:[45, 27] Operation: 47-20=27 Exploring Operation: 47+45=92, Resulting Numbers: [20, 92] Generated Node #0,2,3: 86:[20, 92] Operation: 47+45=92 Exploring Operation: 20+47=67, Resulting Numbers: [45, 67] Generated Node #0,2,4: 86:[45, 67] Operation: 20+47=67 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 86:[20, 2], Operations: ['79-34=45', '47-45=2'] Exploring Operation: 20-2=18, Resulting Numbers: [18] 18,86 unequal: No Solution Exploring Operation: 20+2=22, Resulting Numbers: [22] 22,86 unequal: No Solution Exploring Operation: 20*2=40, Resulting Numbers: [40] 40,86 unequal: No Solution Exploring Operation: 20/2=10, Resulting Numbers: [10] 10,86 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: 86:[45, 27], Operations: ['79-34=45', '47-20=27'] Exploring Operation: 45-27=18, Resulting Numbers: [18] 18,86 unequal: No Solution Exploring Operation: 45*27=1215, Resulting Numbers: [1215] 1215,86 unequal: No Solution Exploring Operation: 45+27=72, Resulting Numbers: [72] 72,86 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: 86:[45, 67], Operations: ['79-34=45', '20+47=67'] Exploring Operation: 45*67=3015, Resulting Numbers: [3015] 3015,86 unequal: No Solution Exploring Operation: 67-45=22, Resulting Numbers: [22] 22,86 unequal: No Solution Exploring Operation: 45+67=112, Resulting Numbers: [112] 112,86 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: 86:[47, 25], Operations: ['79-34=45', '45-20=25'] Exploring Operation: 47*25=1175, Resulting Numbers: [1175] 1175,86 unequal: No Solution Exploring Operation: 47+25=72, Resulting Numbers: [72] 72,86 unequal: No Solution Exploring Operation: 47-25=22, Resulting Numbers: [22] 22,86 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: 86:[20, 92], Operations: ['79-34=45', '47+45=92'] Exploring Operation: 92-20=72, Resulting Numbers: [72] 72,86 unequal: No Solution Exploring Operation: 20*92=1840, Resulting Numbers: [1840] 1840,86 unequal: No Solution Exploring Operation: 20+92=112, Resulting Numbers: [112] 112,86 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: 86:[47, 34, 99], Operations: ['20+79=99'] Exploring Operation: 47+34=81, Resulting Numbers: [99, 81] Generated Node #0,1,0: 86:[99, 81] Operation: 47+34=81 Exploring Operation: 47-34=13, Resulting Numbers: [99, 13] Generated Node #0,1,1: 86:[99, 13] Operation: 47-34=13 Exploring Operation: 99-47=52, Resulting Numbers: [34, 52] Generated Node #0,1,2: 86:[34, 52] Operation: 99-47=52 Exploring Operation: 99-34=65, Resulting Numbers: [47, 65] Generated Node #0,1,3: 86:[47, 65] Operation: 99-34=65 Exploring Operation: 34+99=133, Resulting Numbers: [47, 133] Generated Node #0,1,4: 86:[47, 133] Operation: 34+99=133 Moving to Node #0,4 Current State: 86:[47, 34, 59], Operations: ['79-20=59'] Exploring Operation: 34+59=93, Resulting Numbers: [47, 93] Generated Node #0,4,0: 86:[47, 93] Operation: 34+59=93 Exploring Operation: 47-34=13, Resulting Numbers: [59, 13] Generated Node #0,4,1: 86:[59, 13] Operation: 47-34=13 Exploring Operation: 59-34=25, Resulting Numbers: [47, 25] Generated Node #0,4,2: 86:[47, 25] Operation: 59-34=25 Exploring Operation: 59-47=12, Resulting Numbers: [34, 12] Generated Node #0,4,3: 86:[34, 12] Operation: 59-47=12 Exploring Operation: 47+34=81, Resulting Numbers: [59, 81] Generated Node #0,4,4: 86:[59, 81] Operation: 47+34=81 Moving to Node #0,0,2 Current State: 86:[47, 93], Operations: ['34-20=14', '79+14=93'] Exploring Operation: 47+93=140, Resulting Numbers: [140] 140,86 unequal: No Solution Exploring Operation: 93-47=46, Resulting Numbers: [46] 46,86 unequal: No Solution Exploring Operation: 47*93=4371, Resulting Numbers: [4371] 4371,86 unequal: No Solution Moving to Node #0,4,0 Current State: 86:[47, 93], Operations: ['79-20=59', '34+59=93'] Exploring Operation: 93-47=46, Resulting Numbers: [46] 46,86 unequal: No Solution Exploring Operation: 47+93=140, Resulting Numbers: [140] 140,86 unequal: No Solution Exploring Operation: 47*93=4371, Resulting Numbers: [4371] 4371,86 unequal: No Solution Moving to Node #0,3,0 Current State: 86:[79, 7], Operations: ['20+34=54', '54-47=7'] Exploring Operation: 79-7=72, Resulting Numbers: [72] 72,86 unequal: No Solution Exploring Operation: 79*7=553, Resulting Numbers: [553] 553,86 unequal: No Solution Exploring Operation: 79+7=86, Resulting Numbers: [86] 86,86 equal: Goal Reached Moving to Node #0 Current State: 86:[20, 47, 79, 34], Operations: [] Exploring Operation: 20+34=54, Resulting Numbers: [47, 79, 54] Generated Node #0,3: 86:[47, 79, 54] Operation: 20+34=54 Moving to Node #0,3 Current State: 86:[47, 79, 54], Operations: ['20+34=54'] Exploring Operation: 54-47=7, Resulting Numbers: [79, 7] Generated Node #0,3,0: 86:[79, 7] Operation: 54-47=7 Moving to Node #0,3,0 Current State: 86:[79, 7], Operations: ['20+34=54', '54-47=7'] Exploring Operation: 79+7=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
0.948785
hs_5
mult_heuristic
[ 46, 22, 5, 23 ]
97
[ "46-22=24", "5*24=120", "120-23=97" ]
Current State: 97:[46, 22, 5, 23], Operations: [] Exploring Operation: 46-22=24, Resulting Numbers: [5, 23, 24] Generated Node #2: [5, 23, 24] from Operation: 46-22=24 Current State: 97:[5, 23, 24], Operations: ['46-22=24'] Exploring Operation: 5*24=120, Resulting Numbers: [23, 120] Generated Node #3: [23, 120] from Operation: 5*24=120 Current State: 97:[23, 120], Operations: ['46-22=24', '5*24=120'] Exploring Operation: 120-23=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
Current State: 97:[46, 22, 5, 23], Operations: [] Exploring Operation: 22*5=110, Resulting Numbers: [46, 23, 110] Generated Node #0,0: 97:[46, 23, 110] Operation: 22*5=110 Moving to Node #0,0 Current State: 97:[46, 23, 110], Operations: ['22*5=110'] Exploring Operation: 46+23=69, Resulting Numbers: [110, 69] Generated Node #0,0,0: 97:[110, 69] Operation: 46+23=69 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 97:[110, 69], Operations: ['22*5=110', '46+23=69'] Exploring Operation: 110-69=41, Resulting Numbers: [41] 41,97 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
[ 5, 58, 65, 76 ]
25
[ "76-58=18", "5*18=90", "90-65=25" ]
Current State: 25:[5, 58, 65, 76], Operations: [] Exploring Operation: 76-58=18, Resulting Numbers: [5, 65, 18] Generated Node #2: [5, 65, 18] from Operation: 76-58=18 Current State: 25:[5, 65, 18], Operations: ['76-58=18'] Exploring Operation: 5*18=90, Resulting Numbers: [65, 90] Generated Node #3: [65, 90] from Operation: 5*18=90 Current State: 25:[65, 90], Operations: ['76-58=18', '5*18=90'] Exploring Operation: 90-65=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
Current State: 25:[5, 58, 65, 76], Operations: [] Exploring Operation: 65/5=13, Resulting Numbers: [58, 76, 13] Generated Node #0,0: 25:[58, 76, 13] Operation: 65/5=13 Exploring Operation: 76-65=11, Resulting Numbers: [5, 58, 11] Generated Node #0,1: 25:[5, 58, 11] Operation: 76-65=11 Exploring Operation: 65-58=7, Resulting Numbers: [5, 76, 7] Generated Node #0,2: 25:[5, 76, 7] Operation: 65-58=7 Exploring Operation: 76-58=18, Resulting Numbers: [5, 65, 18] Generated Node #0,3: 25:[5, 65, 18] Operation: 76-58=18 Moving to Node #0,1 Current State: 25:[5, 58, 11], Operations: ['76-65=11'] Exploring Operation: 58-5=53, Resulting Numbers: [11, 53] Generated Node #0,1,0: 25:[11, 53] Operation: 58-5=53 Exploring Operation: 58-11=47, Resulting Numbers: [5, 47] Generated Node #0,1,1: 25:[5, 47] Operation: 58-11=47 Exploring Operation: 5+11=16, Resulting Numbers: [58, 16] Generated Node #0,1,2: 25:[58, 16] Operation: 5+11=16 Exploring Operation: 11-5=6, Resulting Numbers: [58, 6] Generated Node #0,1,3: 25:[58, 6] Operation: 11-5=6 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 25:[5, 47], Operations: ['76-65=11', '58-11=47'] Exploring Operation: 47-5=42, Resulting Numbers: [42] 42,25 unequal: No Solution Exploring Operation: 5*47=235, Resulting Numbers: [235] 235,25 unequal: No Solution Exploring Operation: 5+47=52, Resulting Numbers: [52] 52,25 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 #0,1,0 Current State: 25:[11, 53], Operations: ['76-65=11', '58-5=53'] Exploring Operation: 53-11=42, Resulting Numbers: [42] 42,25 unequal: No Solution Exploring Operation: 11+53=64, Resulting Numbers: [64] 64,25 unequal: No Solution Exploring Operation: 11*53=583, Resulting Numbers: [583] 583,25 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:[58, 6], Operations: ['76-65=11', '11-5=6'] Exploring Operation: 58-6=52, Resulting Numbers: [52] 52,25 unequal: No Solution Exploring Operation: 58+6=64, Resulting Numbers: [64] 64,25 unequal: No Solution Exploring Operation: 58*6=348, Resulting Numbers: [348] 348,25 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:[58, 16], Operations: ['76-65=11', '5+11=16'] Exploring Operation: 58*16=928, Resulting Numbers: [928] 928,25 unequal: No Solution Exploring Operation: 58-16=42, Resulting Numbers: [42] 42,25 unequal: No Solution Exploring Operation: 58+16=74, Resulting Numbers: [74] 74,25 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: 25:[5, 65, 18], Operations: ['76-58=18'] Exploring Operation: 65/5=13, Resulting Numbers: [18, 13] Generated Node #0,3,0: 25:[18, 13] Operation: 65/5=13 Exploring Operation: 65-18=47, Resulting Numbers: [5, 47] Generated Node #0,3,1: 25:[5, 47] Operation: 65-18=47 Exploring Operation: 65-5=60, Resulting Numbers: [18, 60] Generated Node #0,3,2: 25:[18, 60] Operation: 65-5=60 Exploring Operation: 5+18=23, Resulting Numbers: [65, 23] Generated Node #0,3,3: 25:[65, 23] Operation: 5+18=23 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 25:[18, 13], Operations: ['76-58=18', '65/5=13'] Exploring Operation: 18-13=5, Resulting Numbers: [5] 5,25 unequal: No Solution Exploring Operation: 18+13=31, Resulting Numbers: [31] 31,25 unequal: No Solution Exploring Operation: 18*13=234, Resulting Numbers: [234] 234,25 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 #0,3,1 Current State: 25:[5, 47], Operations: ['76-58=18', '65-18=47'] Exploring Operation: 5*47=235, Resulting Numbers: [235] 235,25 unequal: No Solution Exploring Operation: 5+47=52, Resulting Numbers: [52] 52,25 unequal: No Solution Exploring Operation: 47-5=42, Resulting Numbers: [42] 42,25 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 #0,3,2 Current State: 25:[18, 60], Operations: ['76-58=18', '65-5=60'] Exploring Operation: 18*60=1080, Resulting Numbers: [1080] 1080,25 unequal: No Solution Exploring Operation: 60-18=42, Resulting Numbers: [42] 42,25 unequal: No Solution Exploring Operation: 18+60=78, Resulting Numbers: [78] 78,25 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 #0,3,3 Current State: 25:[65, 23], Operations: ['76-58=18', '5+18=23'] Exploring Operation: 65+23=88, Resulting Numbers: [88] 88,25 unequal: No Solution Exploring Operation: 65*23=1495, Resulting Numbers: [1495] 1495,25 unequal: No Solution Exploring Operation: 65-23=42, Resulting Numbers: [42] 42,25 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:[5, 76, 7], Operations: ['65-58=7'] Exploring Operation: 5+76=81, Resulting Numbers: [7, 81] Generated Node #0,2,0: 25:[7, 81] Operation: 5+76=81 Exploring Operation: 76-5=71, Resulting Numbers: [7, 71] Generated Node #0,2,1: 25:[7, 71] Operation: 76-5=71 Exploring Operation: 7-5=2, Resulting Numbers: [76, 2] Generated Node #0,2,2: 25:[76, 2] Operation: 7-5=2 Exploring Operation: 76-7=69, Resulting Numbers: [5, 69] Generated Node #0,2,3: 25:[5, 69] Operation: 76-7=69 Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 25:[5, 69], Operations: ['65-58=7', '76-7=69'] Exploring Operation: 5+69=74, Resulting Numbers: [74] 74,25 unequal: No Solution Exploring Operation: 5*69=345, Resulting Numbers: [345] 345,25 unequal: No Solution Exploring Operation: 69-5=64, Resulting Numbers: [64] 64,25 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 #0,2,1 Current State: 25:[7, 71], Operations: ['65-58=7', '76-5=71'] Exploring Operation: 71-7=64, Resulting Numbers: [64] 64,25 unequal: No Solution Exploring Operation: 7*71=497, Resulting Numbers: [497] 497,25 unequal: No Solution Exploring Operation: 7+71=78, Resulting Numbers: [78] 78,25 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 #0,2,2 Current State: 25:[76, 2], Operations: ['65-58=7', '7-5=2'] Exploring Operation: 76+2=78, Resulting Numbers: [78] 78,25 unequal: No Solution Exploring Operation: 76*2=152, Resulting Numbers: [152] 152,25 unequal: No Solution Exploring Operation: 76-2=74, Resulting Numbers: [74] 74,25 unequal: No Solution Exploring Operation: 76/2=38, Resulting Numbers: [38] 38,25 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 #0,2,0 Current State: 25:[7, 81], Operations: ['65-58=7', '5+76=81'] Exploring Operation: 7+81=88, Resulting Numbers: [88] 88,25 unequal: No Solution Exploring Operation: 7*81=567, Resulting Numbers: [567] 567,25 unequal: No Solution Exploring Operation: 81-7=74, Resulting Numbers: [74] 74,25 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: 25:[58, 76, 13], Operations: ['65/5=13'] Exploring Operation: 76-58=18, Resulting Numbers: [13, 18] Generated Node #0,0,0: 25:[13, 18] Operation: 76-58=18 Exploring Operation: 76-13=63, Resulting Numbers: [58, 63] Generated Node #0,0,1: 25:[58, 63] Operation: 76-13=63 Exploring Operation: 58+13=71, Resulting Numbers: [76, 71] Generated Node #0,0,2: 25:[76, 71] Operation: 58+13=71 Exploring Operation: 58-13=45, Resulting Numbers: [76, 45] Generated Node #0,0,3: 25:[76, 45] Operation: 58-13=45 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 25:[13, 18], Operations: ['65/5=13', '76-58=18'] Exploring Operation: 18-13=5, Resulting Numbers: [5] 5,25 unequal: No Solution Exploring Operation: 13*18=234, Resulting Numbers: [234] 234,25 unequal: No Solution Exploring Operation: 13+18=31, Resulting Numbers: [31] 31,25 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 #0,0,1 Current State: 25:[58, 63], Operations: ['65/5=13', '76-13=63'] Exploring Operation: 58*63=3654, Resulting Numbers: [3654] 3654,25 unequal: No Solution Exploring Operation: 63-58=5, Resulting Numbers: [5] 5,25 unequal: No Solution Exploring Operation: 58+63=121, Resulting Numbers: [121] 121,25 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 #0,0,3 Current State: 25:[76, 45], Operations: ['65/5=13', '58-13=45'] Exploring Operation: 76-45=31, Resulting Numbers: [31] 31,25 unequal: No Solution Exploring Operation: 76+45=121, Resulting Numbers: [121] 121,25 unequal: No Solution Exploring Operation: 76*45=3420, Resulting Numbers: [3420] 3420,25 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 #0,0,2 Current State: 25:[76, 71], Operations: ['65/5=13', '58+13=71'] Exploring Operation: 76*71=5396, Resulting Numbers: [5396] 5396,25 unequal: No Solution Exploring Operation: 76-71=5, Resulting Numbers: [5] 5,25 unequal: No Solution Exploring Operation: 76+71=147, Resulting Numbers: [147] 147,25 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
[ 24, 92, 57, 41 ]
100
[ "24+92=116", "57-41=16", "116-16=100" ]
Current State: 100:[24, 92, 57, 41], Operations: [] Exploring Operation: 24+92=116, Resulting Numbers: [57, 41, 116] Generated Node #2: [57, 41, 116] from Operation: 24+92=116 Current State: 100:[57, 41, 116], Operations: ['24+92=116'] Exploring Operation: 57-41=16, Resulting Numbers: [116, 16] Generated Node #3: [116, 16] from Operation: 57-41=16 Current State: 100:[116, 16], Operations: ['24+92=116', '57-41=16'] Exploring Operation: 116-16=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
Current State: 100:[24, 92, 57, 41], Operations: [] Exploring Operation: 57-41=16, Resulting Numbers: [24, 92, 16] Generated Node #0,0: 100:[24, 92, 16] Operation: 57-41=16 Exploring Operation: 57+41=98, Resulting Numbers: [24, 92, 98] Generated Node #0,1: 100:[24, 92, 98] Operation: 57+41=98 Exploring Operation: 92-41=51, Resulting Numbers: [24, 57, 51] Generated Node #0,2: 100:[24, 57, 51] Operation: 92-41=51 Moving to Node #0,2 Current State: 100:[24, 57, 51], Operations: ['92-41=51'] Exploring Operation: 57-24=33, Resulting Numbers: [51, 33] Generated Node #0,2,0: 100:[51, 33] Operation: 57-24=33 Exploring Operation: 51-24=27, Resulting Numbers: [57, 27] Generated Node #0,2,1: 100:[57, 27] Operation: 51-24=27 Exploring Operation: 57-51=6, Resulting Numbers: [24, 6] Generated Node #0,2,2: 100:[24, 6] Operation: 57-51=6 Moving to Node #0,1 Current State: 100:[24, 92, 98], Operations: ['57+41=98'] Exploring Operation: 24+92=116, Resulting Numbers: [98, 116] Generated Node #0,1,0: 100:[98, 116] Operation: 24+92=116 Exploring Operation: 92-24=68, Resulting Numbers: [98, 68] Generated Node #0,1,1: 100:[98, 68] Operation: 92-24=68 Exploring Operation: 98-92=6, Resulting Numbers: [24, 6] Generated Node #0,1,2: 100:[24, 6] Operation: 98-92=6 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 100:[24, 6], Operations: ['57+41=98', '98-92=6'] Exploring Operation: 24+6=30, Resulting Numbers: [30] 30,100 unequal: No Solution Exploring Operation: 24-6=18, Resulting Numbers: [18] 18,100 unequal: No Solution Exploring Operation: 24/6=4, Resulting Numbers: [4] 4,100 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 #0,1,0 Current State: 100:[98, 116], Operations: ['57+41=98', '24+92=116'] Exploring Operation: 98*116=11368, Resulting Numbers: [11368] 11368,100 unequal: No Solution Exploring Operation: 116-98=18, Resulting Numbers: [18] 18,100 unequal: No Solution Exploring Operation: 98+116=214, Resulting Numbers: [214] 214,100 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 #0,1,1 Current State: 100:[98, 68], Operations: ['57+41=98', '92-24=68'] Exploring Operation: 98-68=30, Resulting Numbers: [30] 30,100 unequal: No Solution Exploring Operation: 98+68=166, Resulting Numbers: [166] 166,100 unequal: No Solution Exploring Operation: 98*68=6664, Resulting Numbers: [6664] 6664,100 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: 100:[24, 92, 16], Operations: ['57-41=16'] Exploring Operation: 24+16=40, Resulting Numbers: [92, 40] Generated Node #0,0,0: 100:[92, 40] Operation: 24+16=40 Exploring Operation: 92+16=108, Resulting Numbers: [24, 108] Generated Node #0,0,1: 100:[24, 108] Operation: 92+16=108 Exploring Operation: 24-16=8, Resulting Numbers: [92, 8] Generated Node #0,0,2: 100:[92, 8] Operation: 24-16=8 Moving to Node #0,2,2 Current State: 100:[24, 6], Operations: ['92-41=51', '57-51=6'] Exploring Operation: 24-6=18, Resulting Numbers: [18] 18,100 unequal: No Solution Exploring Operation: 24/6=4, Resulting Numbers: [4] 4,100 unequal: No Solution Exploring Operation: 24+6=30, Resulting Numbers: [30] 30,100 unequal: No Solution Moving to Node #0,2,1 Current State: 100:[57, 27], Operations: ['92-41=51', '51-24=27'] Exploring Operation: 57-27=30, Resulting Numbers: [30] 30,100 unequal: No Solution Exploring Operation: 57+27=84, Resulting Numbers: [84] 84,100 unequal: No Solution Exploring Operation: 57*27=1539, Resulting Numbers: [1539] 1539,100 unequal: No Solution Moving to Node #0,2,0 Current State: 100:[51, 33], Operations: ['92-41=51', '57-24=33'] Exploring Operation: 51*33=1683, Resulting Numbers: [1683] 1683,100 unequal: No Solution Exploring Operation: 51+33=84, Resulting Numbers: [84] 84,100 unequal: No Solution Exploring Operation: 51-33=18, Resulting Numbers: [18] 18,100 unequal: No Solution Moving to Node #0,0,1 Current State: 100:[24, 108], Operations: ['57-41=16', '92+16=108'] Exploring Operation: 24+108=132, Resulting Numbers: [132] 132,100 unequal: No Solution Exploring Operation: 24*108=2592, Resulting Numbers: [2592] 2592,100 unequal: No Solution Exploring Operation: 108-24=84, Resulting Numbers: [84] 84,100 unequal: No Solution Moving to Node #0,0,2 Current State: 100:[92, 8], Operations: ['57-41=16', '24-16=8'] Exploring Operation: 92+8=100, Resulting Numbers: [100] 100,100 equal: Goal Reached Moving to Node #0 Current State: 100:[24, 92, 57, 41], Operations: [] Exploring Operation: 57-41=16, Resulting Numbers: [24, 92, 16] Generated Node #0,0: 100:[24, 92, 16] Operation: 57-41=16 Moving to Node #0,0 Current State: 100:[24, 92, 16], Operations: ['57-41=16'] Exploring Operation: 24-16=8, Resulting Numbers: [92, 8] Generated Node #0,0,2: 100:[92, 8] Operation: 24-16=8 Moving to Node #0,0,2 Current State: 100:[92, 8], Operations: ['57-41=16', '24-16=8'] Exploring Operation: 92+8=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
0.967014
hs_3
mult_heuristic
[ 76, 7, 20, 80 ]
88
[ "76-20=56", "56/7=8", "80+8=88" ]
Current State: 88:[76, 7, 20, 80], Operations: [] Exploring Operation: 76-20=56, Resulting Numbers: [7, 80, 56] Generated Node #2: [7, 80, 56] from Operation: 76-20=56 Current State: 88:[7, 80, 56], Operations: ['76-20=56'] Exploring Operation: 56/7=8, Resulting Numbers: [80, 8] Generated Node #3: [80, 8] from Operation: 56/7=8 Current State: 88:[80, 8], Operations: ['76-20=56', '56/7=8'] Exploring Operation: 80+8=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
Current State: 88:[76, 7, 20, 80], Operations: [] Exploring Operation: 80/20=4, Resulting Numbers: [76, 7, 4] Generated Node #0,0: 88:[76, 7, 4] Operation: 80/20=4 Exploring Operation: 76+7=83, Resulting Numbers: [20, 80, 83] Generated Node #0,1: 88:[20, 80, 83] Operation: 76+7=83 Exploring Operation: 80-76=4, Resulting Numbers: [7, 20, 4] Generated Node #0,2: 88:[7, 20, 4] Operation: 80-76=4 Start Sub Search at level 1: Moving to Node #0,2 Current State: 88:[7, 20, 4], Operations: ['80-76=4'] Exploring Operation: 7+4=11, Resulting Numbers: [20, 11] Generated Node #0,2,0: 88:[20, 11] Operation: 7+4=11 Exploring Operation: 20-7=13, Resulting Numbers: [4, 13] Generated Node #0,2,1: 88:[4, 13] Operation: 20-7=13 Exploring Operation: 20/4=5, Resulting Numbers: [7, 5] Generated Node #0,2,2: 88:[7, 5] Operation: 20/4=5 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 88:[20, 11], Operations: ['80-76=4', '7+4=11'] Exploring Operation: 20+11=31, Resulting Numbers: [31] 31,88 unequal: No Solution Exploring Operation: 20*11=220, Resulting Numbers: [220] 220,88 unequal: No Solution Exploring Operation: 20-11=9, Resulting Numbers: [9] 9,88 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: 88:[4, 13], Operations: ['80-76=4', '20-7=13'] Exploring Operation: 4*13=52, Resulting Numbers: [52] 52,88 unequal: No Solution Exploring Operation: 4+13=17, Resulting Numbers: [17] 17,88 unequal: No Solution Exploring Operation: 13-4=9, Resulting Numbers: [9] 9,88 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: 88:[7, 5], Operations: ['80-76=4', '20/4=5'] Exploring Operation: 7-5=2, Resulting Numbers: [2] 2,88 unequal: No Solution Exploring Operation: 7+5=12, Resulting Numbers: [12] 12,88 unequal: No Solution Exploring Operation: 7*5=35, Resulting Numbers: [35] 35,88 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: 88:[76, 7, 4], Operations: ['80/20=4'] Exploring Operation: 76/4=19, Resulting Numbers: [7, 19] Generated Node #0,0,0: 88:[7, 19] Operation: 76/4=19 Exploring Operation: 76+4=80, Resulting Numbers: [7, 80] Generated Node #0,0,1: 88:[7, 80] Operation: 76+4=80 Exploring Operation: 76+7=83, Resulting Numbers: [4, 83] Generated Node #0,0,2: 88:[4, 83] Operation: 76+7=83 Moving to Node #0,0,0 Current State: 88:[7, 19], Operations: ['80/20=4', '76/4=19'] Exploring Operation: 7*19=133, Resulting Numbers: [133] 133,88 unequal: No Solution Exploring Operation: 19-7=12, Resulting Numbers: [12] 12,88 unequal: No Solution Exploring Operation: 7+19=26, Resulting Numbers: [26] 26,88 unequal: No Solution Moving to Node #0,0,2 Current State: 88:[4, 83], Operations: ['80/20=4', '76+7=83'] Exploring Operation: 4*83=332, Resulting Numbers: [332] 332,88 unequal: No Solution Exploring Operation: 4+83=87, Resulting Numbers: [87] 87,88 unequal: No Solution Exploring Operation: 83-4=79, Resulting Numbers: [79] 79,88 unequal: No Solution Moving to Node #0,0,1 Current State: 88:[7, 80], Operations: ['80/20=4', '76+4=80'] Exploring Operation: 7+80=87, Resulting Numbers: [87] 87,88 unequal: No Solution Exploring Operation: 7*80=560, Resulting Numbers: [560] 560,88 unequal: No Solution Exploring Operation: 80-7=73, Resulting Numbers: [73] 73,88 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: 88:[20, 80, 83], Operations: ['76+7=83'] Exploring Operation: 20+80=100, Resulting Numbers: [83, 100] Generated Node #0,1,0: 88:[83, 100] Operation: 20+80=100 Exploring Operation: 83-80=3, Resulting Numbers: [20, 3] Generated Node #0,1,1: 88:[20, 3] Operation: 83-80=3 Exploring Operation: 80/20=4, Resulting Numbers: [83, 4] Generated Node #0,1,2: 88:[83, 4] Operation: 80/20=4 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 88:[20, 3], Operations: ['76+7=83', '83-80=3'] Exploring Operation: 20*3=60, Resulting Numbers: [60] 60,88 unequal: No Solution Exploring Operation: 20-3=17, Resulting Numbers: [17] 17,88 unequal: No Solution Exploring Operation: 20+3=23, Resulting Numbers: [23] 23,88 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: 88:[83, 4], Operations: ['76+7=83', '80/20=4'] Exploring Operation: 83*4=332, Resulting Numbers: [332] 332,88 unequal: No Solution Exploring Operation: 83-4=79, Resulting Numbers: [79] 79,88 unequal: No Solution Exploring Operation: 83+4=87, Resulting Numbers: [87] 87,88 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: 88:[83, 100], Operations: ['76+7=83', '20+80=100'] Exploring Operation: 83*100=8300, Resulting Numbers: [8300] 8300,88 unequal: No Solution Exploring Operation: 83+100=183, Resulting Numbers: [183] 183,88 unequal: No Solution Exploring Operation: 100-83=17, Resulting Numbers: [17] 17,88 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
sum_heuristic
[ 57, 76, 34, 12 ]
41
[ "76-57=19", "34-12=22", "19+22=41" ]
Current State: 41:[57, 76, 34, 12], Operations: [] Exploring Operation: 76-57=19, Resulting Numbers: [34, 12, 19] Generated Node #2: [34, 12, 19] from Operation: 76-57=19 Current State: 41:[34, 12, 19], Operations: ['76-57=19'] Exploring Operation: 34-12=22, Resulting Numbers: [19, 22] Generated Node #3: [19, 22] from Operation: 34-12=22 Current State: 41:[19, 22], Operations: ['76-57=19', '34-12=22'] Exploring Operation: 19+22=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
Current State: 41:[57, 76, 34, 12], Operations: [] Exploring Operation: 76-12=64, Resulting Numbers: [57, 34, 64] Generated Node #0,0: 41:[57, 34, 64] Operation: 76-12=64 Exploring Operation: 57-12=45, Resulting Numbers: [76, 34, 45] Generated Node #0,1: 41:[76, 34, 45] Operation: 57-12=45 Exploring Operation: 76-34=42, Resulting Numbers: [57, 12, 42] Generated Node #0,2: 41:[57, 12, 42] Operation: 76-34=42 Moving to Node #0,0 Current State: 41:[57, 34, 64], Operations: ['76-12=64'] Exploring Operation: 57-34=23, Resulting Numbers: [64, 23] Generated Node #0,0,0: 41:[64, 23] Operation: 57-34=23 Exploring Operation: 64-34=30, Resulting Numbers: [57, 30] Generated Node #0,0,1: 41:[57, 30] Operation: 64-34=30 Exploring Operation: 64-57=7, Resulting Numbers: [34, 7] Generated Node #0,0,2: 41:[34, 7] Operation: 64-57=7 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 41:[57, 30], Operations: ['76-12=64', '64-34=30'] Exploring Operation: 57+30=87, Resulting Numbers: [87] 87,41 unequal: No Solution Exploring Operation: 57-30=27, Resulting Numbers: [27] 27,41 unequal: No Solution Exploring Operation: 57*30=1710, Resulting Numbers: [1710] 1710,41 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 #0,0,0 Current State: 41:[64, 23], Operations: ['76-12=64', '57-34=23'] Exploring Operation: 64+23=87, Resulting Numbers: [87] 87,41 unequal: No Solution Exploring Operation: 64*23=1472, Resulting Numbers: [1472] 1472,41 unequal: No Solution Exploring Operation: 64-23=41, Resulting Numbers: [41] 41,41 equal: Goal Reached Moving to Node #0 Current State: 41:[57, 76, 34, 12], Operations: [] Exploring Operation: 76-12=64, Resulting Numbers: [57, 34, 64] Generated Node #0,0: 41:[57, 34, 64] Operation: 76-12=64 Moving to Node #0,0 Current State: 41:[57, 34, 64], Operations: ['76-12=64'] Exploring Operation: 57-34=23, Resulting Numbers: [64, 23] Generated Node #0,0,0: 41:[64, 23] Operation: 57-34=23 Moving to Node #0,0,0 Current State: 41:[64, 23], Operations: ['76-12=64', '57-34=23'] Exploring Operation: 64-23=41, Resulting Numbers: [41] 41,41 equal: Goal Reached Exit Sub Search at level 1
0.986111
hs_3
sum_heuristic
[ 66, 60, 5, 35 ]
44
[ "5+35=40", "66*40=2640", "2640/60=44" ]
Current State: 44:[66, 60, 5, 35], Operations: [] Exploring Operation: 5+35=40, Resulting Numbers: [66, 60, 40] Generated Node #2: [66, 60, 40] from Operation: 5+35=40 Current State: 44:[66, 60, 40], Operations: ['5+35=40'] Exploring Operation: 66*40=2640, Resulting Numbers: [60, 2640] Generated Node #3: [60, 2640] from Operation: 66*40=2640 Current State: 44:[60, 2640], Operations: ['5+35=40', '66*40=2640'] Exploring Operation: 2640/60=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
Current State: 44:[66, 60, 5, 35], Operations: [] Exploring Operation: 66-60=6, Resulting Numbers: [5, 35, 6] Generated Node #0,0: 44:[5, 35, 6] Operation: 66-60=6 Moving to Node #0,0 Current State: 44:[5, 35, 6], Operations: ['66-60=6'] Exploring Operation: 35+6=41, Resulting Numbers: [5, 41] Generated Node #0,0,0: 44:[5, 41] Operation: 35+6=41 Moving to Node #0,0,0 Current State: 44:[5, 41], Operations: ['66-60=6', '35+6=41'] Exploring Operation: 5+41=46, Resulting Numbers: [46] 46,44 unequal: No Solution No solution found.
0
hs_1
sum_heuristic
[ 45, 23, 62, 10 ]
25
[ "62*10=620", "620-45=575", "575/23=25" ]
Current State: 25:[45, 23, 62, 10], Operations: [] Exploring Operation: 62*10=620, Resulting Numbers: [45, 23, 620] Generated Node #2: [45, 23, 620] from Operation: 62*10=620 Current State: 25:[45, 23, 620], Operations: ['62*10=620'] Exploring Operation: 620-45=575, Resulting Numbers: [23, 575] Generated Node #3: [23, 575] from Operation: 620-45=575 Current State: 25:[23, 575], Operations: ['62*10=620', '620-45=575'] Exploring Operation: 575/23=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
Current State: 25:[45, 23, 62, 10], Operations: [] Exploring Operation: 62-45=17, Resulting Numbers: [23, 10, 17] Generated Node #0,0: 25:[23, 10, 17] Operation: 62-45=17 Exploring Operation: 62-23=39, Resulting Numbers: [45, 10, 39] Generated Node #0,1: 25:[45, 10, 39] Operation: 62-23=39 Start Sub Search at level 1: Moving to Node #0,0 Current State: 25:[23, 10, 17], Operations: ['62-45=17'] Exploring Operation: 17-10=7, Resulting Numbers: [23, 7] Generated Node #0,0,0: 25:[23, 7] Operation: 17-10=7 Exploring Operation: 10+17=27, Resulting Numbers: [23, 27] Generated Node #0,0,1: 25:[23, 27] Operation: 10+17=27 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 25:[23, 7], Operations: ['62-45=17', '17-10=7'] Exploring Operation: 23-7=16, Resulting Numbers: [16] 16,25 unequal: No Solution Exploring Operation: 23+7=30, Resulting Numbers: [30] 30,25 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: 25:[23, 27], Operations: ['62-45=17', '10+17=27'] Exploring Operation: 27-23=4, Resulting Numbers: [4] 4,25 unequal: No Solution Exploring Operation: 23+27=50, Resulting Numbers: [50] 50,25 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: 25:[45, 10, 39], Operations: ['62-23=39'] Exploring Operation: 45-10=35, Resulting Numbers: [39, 35] Generated Node #0,1,0: 25:[39, 35] Operation: 45-10=35 Exploring Operation: 45-39=6, Resulting Numbers: [10, 6] Generated Node #0,1,1: 25:[10, 6] Operation: 45-39=6 Moving to Node #0,1,1 Current State: 25:[10, 6], Operations: ['62-23=39', '45-39=6'] Exploring Operation: 10+6=16, Resulting Numbers: [16] 16,25 unequal: No Solution Exploring Operation: 10-6=4, Resulting Numbers: [4] 4,25 unequal: No Solution Moving to Node #0,1,0 Current State: 25:[39, 35], Operations: ['62-23=39', '45-10=35'] Exploring Operation: 39-35=4, Resulting Numbers: [4] 4,25 unequal: No Solution Exploring Operation: 39+35=74, Resulting Numbers: [74] 74,25 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
mult_heuristic
[ 86, 20, 54, 69 ]
62
[ "86+54=140", "140/20=7", "69-7=62" ]
Current State: 62:[86, 20, 54, 69], Operations: [] Exploring Operation: 86+54=140, Resulting Numbers: [20, 69, 140] Generated Node #2: [20, 69, 140] from Operation: 86+54=140 Current State: 62:[20, 69, 140], Operations: ['86+54=140'] Exploring Operation: 140/20=7, Resulting Numbers: [69, 7] Generated Node #3: [69, 7] from Operation: 140/20=7 Current State: 62:[69, 7], Operations: ['86+54=140', '140/20=7'] Exploring Operation: 69-7=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
Current State: 62:[86, 20, 54, 69], Operations: [] Exploring Operation: 86-69=17, Resulting Numbers: [20, 54, 17] Generated Node #0,0: 62:[20, 54, 17] Operation: 86-69=17 Exploring Operation: 86-20=66, Resulting Numbers: [54, 69, 66] Generated Node #0,1: 62:[54, 69, 66] Operation: 86-20=66 Exploring Operation: 86-54=32, Resulting Numbers: [20, 69, 32] Generated Node #0,2: 62:[20, 69, 32] Operation: 86-54=32 Start Sub Search at level 1: Moving to Node #0,1 Current State: 62:[54, 69, 66], Operations: ['86-20=66'] Exploring Operation: 69-54=15, Resulting Numbers: [66, 15] Generated Node #0,1,0: 62:[66, 15] Operation: 69-54=15 Exploring Operation: 69-66=3, Resulting Numbers: [54, 3] Generated Node #0,1,1: 62:[54, 3] Operation: 69-66=3 Exploring Operation: 66-54=12, Resulting Numbers: [69, 12] Generated Node #0,1,2: 62:[69, 12] Operation: 66-54=12 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 62:[54, 3], Operations: ['86-20=66', '69-66=3'] Exploring Operation: 54-3=51, Resulting Numbers: [51] 51,62 unequal: No Solution Exploring Operation: 54+3=57, Resulting Numbers: [57] 57,62 unequal: No Solution Exploring Operation: 54/3=18, Resulting Numbers: [18] 18,62 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: 62:[66, 15], Operations: ['86-20=66', '69-54=15'] Exploring Operation: 66-15=51, Resulting Numbers: [51] 51,62 unequal: No Solution Exploring Operation: 66+15=81, Resulting Numbers: [81] 81,62 unequal: No Solution Exploring Operation: 66*15=990, Resulting Numbers: [990] 990,62 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: 62:[69, 12], Operations: ['86-20=66', '66-54=12'] Exploring Operation: 69*12=828, Resulting Numbers: [828] 828,62 unequal: No Solution Exploring Operation: 69-12=57, Resulting Numbers: [57] 57,62 unequal: No Solution Exploring Operation: 69+12=81, Resulting Numbers: [81] 81,62 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: 62:[20, 69, 32], Operations: ['86-54=32'] Exploring Operation: 32-20=12, Resulting Numbers: [69, 12] Generated Node #0,2,0: 62:[69, 12] Operation: 32-20=12 Exploring Operation: 69-20=49, Resulting Numbers: [32, 49] Generated Node #0,2,1: 62:[32, 49] Operation: 69-20=49 Exploring Operation: 20+32=52, Resulting Numbers: [69, 52] Generated Node #0,2,2: 62:[69, 52] Operation: 20+32=52 Moving to Node #0,2,1 Current State: 62:[32, 49], Operations: ['86-54=32', '69-20=49'] Exploring Operation: 49-32=17, Resulting Numbers: [17] 17,62 unequal: No Solution Exploring Operation: 32+49=81, Resulting Numbers: [81] 81,62 unequal: No Solution Exploring Operation: 32*49=1568, Resulting Numbers: [1568] 1568,62 unequal: No Solution Moving to Node #0,2,0 Current State: 62:[69, 12], Operations: ['86-54=32', '32-20=12'] Exploring Operation: 69-12=57, Resulting Numbers: [57] 57,62 unequal: No Solution Exploring Operation: 69*12=828, Resulting Numbers: [828] 828,62 unequal: No Solution Exploring Operation: 69+12=81, Resulting Numbers: [81] 81,62 unequal: No Solution Moving to Node #0,2,2 Current State: 62:[69, 52], Operations: ['86-54=32', '20+32=52'] Exploring Operation: 69*52=3588, Resulting Numbers: [3588] 3588,62 unequal: No Solution Exploring Operation: 69-52=17, Resulting Numbers: [17] 17,62 unequal: No Solution Exploring Operation: 69+52=121, Resulting Numbers: [121] 121,62 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: 62:[20, 54, 17], Operations: ['86-69=17'] Exploring Operation: 20+17=37, Resulting Numbers: [54, 37] Generated Node #0,0,0: 62:[54, 37] Operation: 20+17=37 Exploring Operation: 54-20=34, Resulting Numbers: [17, 34] Generated Node #0,0,1: 62:[17, 34] Operation: 54-20=34 Exploring Operation: 20-17=3, Resulting Numbers: [54, 3] Generated Node #0,0,2: 62:[54, 3] Operation: 20-17=3 Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 62:[54, 3], Operations: ['86-69=17', '20-17=3'] Exploring Operation: 54-3=51, Resulting Numbers: [51] 51,62 unequal: No Solution Exploring Operation: 54+3=57, Resulting Numbers: [57] 57,62 unequal: No Solution Exploring Operation: 54/3=18, Resulting Numbers: [18] 18,62 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: 62:[54, 37], Operations: ['86-69=17', '20+17=37'] Exploring Operation: 54-37=17, Resulting Numbers: [17] 17,62 unequal: No Solution Exploring Operation: 54+37=91, Resulting Numbers: [91] 91,62 unequal: No Solution Exploring Operation: 54*37=1998, Resulting Numbers: [1998] 1998,62 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: 62:[17, 34], Operations: ['86-69=17', '54-20=34'] Exploring Operation: 34-17=17, Resulting Numbers: [17] 17,62 unequal: No Solution Exploring Operation: 34/17=2, Resulting Numbers: [2] 2,62 unequal: No Solution Exploring Operation: 17+34=51, Resulting Numbers: [51] 51,62 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
[ 67, 1, 95, 67 ]
97
[ "67/67=1", "1+95=96", "1+96=97" ]
Current State: 97:[67, 1, 95, 67], Operations: [] Exploring Operation: 67/67=1, Resulting Numbers: [1, 95, 1] Generated Node #2: [1, 95, 1] from Operation: 67/67=1 Current State: 97:[1, 95, 1], Operations: ['67/67=1'] Exploring Operation: 1+95=96, Resulting Numbers: [96] 96,97 equal: Goal Reached Exploring Operation: 1+96=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
Current State: 97:[67, 1, 95, 67], Operations: [] Exploring Operation: 1+95=96, Resulting Numbers: [67, 67, 96] Generated Node #0,0: 97:[67, 67, 96] Operation: 1+95=96 Exploring Operation: 67+1=68, Resulting Numbers: [95, 67, 68] Generated Node #0,1: 97:[95, 67, 68] Operation: 67+1=68 Start Sub Search at level 1: Moving to Node #0,0 Current State: 97:[67, 67, 96], Operations: ['1+95=96'] Exploring Operation: 67+96=163, Resulting Numbers: [67, 163] Generated Node #0,0,0: 97:[67, 163] Operation: 67+96=163 Exploring Operation: 67+67=134, Resulting Numbers: [96, 134] Generated Node #0,0,1: 97:[96, 134] Operation: 67+67=134 Moving to Node #0,0,1 Current State: 97:[96, 134], Operations: ['1+95=96', '67+67=134'] Exploring Operation: 96+134=230, Resulting Numbers: [230] 230,97 unequal: No Solution Exploring Operation: 134-96=38, Resulting Numbers: [38] 38,97 unequal: No Solution Moving to Node #0,0,0 Current State: 97:[67, 163], Operations: ['1+95=96', '67+96=163'] Exploring Operation: 163-67=96, Resulting Numbers: [96] 96,97 unequal: No Solution Exploring Operation: 67+163=230, Resulting Numbers: [230] 230,97 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 #0,1 Current State: 97:[95, 67, 68], Operations: ['67+1=68'] Exploring Operation: 95+67=162, Resulting Numbers: [68, 162] Generated Node #0,1,0: 97:[68, 162] Operation: 95+67=162 Exploring Operation: 67+68=135, Resulting Numbers: [95, 135] Generated Node #0,1,1: 97:[95, 135] Operation: 67+68=135 Moving to Node #0,1,1 Current State: 97:[95, 135], Operations: ['67+1=68', '67+68=135'] Exploring Operation: 95+135=230, Resulting Numbers: [230] 230,97 unequal: No Solution Exploring Operation: 135-95=40, Resulting Numbers: [40] 40,97 unequal: No Solution Moving to Node #0,1,0 Current State: 97:[68, 162], Operations: ['67+1=68', '95+67=162'] Exploring Operation: 162-68=94, Resulting Numbers: [94] 94,97 unequal: No Solution Exploring Operation: 68+162=230, Resulting Numbers: [230] 230,97 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
mult_heuristic
[ 32, 62, 51, 43 ]
22
[ "62-32=30", "51-43=8", "30-8=22" ]
Current State: 22:[32, 62, 51, 43], Operations: [] Exploring Operation: 62-32=30, Resulting Numbers: [51, 43, 30] Generated Node #2: [51, 43, 30] from Operation: 62-32=30 Current State: 22:[51, 43, 30], Operations: ['62-32=30'] Exploring Operation: 51-43=8, Resulting Numbers: [30, 8] Generated Node #3: [30, 8] from Operation: 51-43=8 Current State: 22:[30, 8], Operations: ['62-32=30', '51-43=8'] Exploring Operation: 30-8=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
Current State: 22:[32, 62, 51, 43], Operations: [] Exploring Operation: 62-51=11, Resulting Numbers: [32, 43, 11] Generated Node #0,0: 22:[32, 43, 11] Operation: 62-51=11 Exploring Operation: 62-43=19, Resulting Numbers: [32, 51, 19] Generated Node #0,1: 22:[32, 51, 19] Operation: 62-43=19 Moving to Node #0,0 Current State: 22:[32, 43, 11], Operations: ['62-51=11'] Exploring Operation: 43-11=32, Resulting Numbers: [32, 32] Generated Node #0,0,0: 22:[32, 32] Operation: 43-11=32 Exploring Operation: 43-32=11, Resulting Numbers: [11, 11] Generated Node #0,0,1: 22:[11, 11] Operation: 43-32=11 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 22:[11, 11], Operations: ['62-51=11', '43-32=11'] Exploring Operation: 11/11=1, Resulting Numbers: [1] 1,22 unequal: No Solution Exploring Operation: 11+11=22, Resulting Numbers: [22] 22,22 equal: Goal Reached Moving to Node #0 Current State: 22:[32, 62, 51, 43], Operations: [] Exploring Operation: 62-51=11, Resulting Numbers: [32, 43, 11] Generated Node #0,0: 22:[32, 43, 11] Operation: 62-51=11 Moving to Node #0,0 Current State: 22:[32, 43, 11], Operations: ['62-51=11'] Exploring Operation: 43-32=11, Resulting Numbers: [11, 11] Generated Node #0,0,1: 22:[11, 11] Operation: 43-32=11 Moving to Node #0,0,1 Current State: 22:[11, 11], Operations: ['62-51=11', '43-32=11'] Exploring Operation: 11+11=22, Resulting Numbers: [22] 22,22 equal: Goal Reached Exit Sub Search at level 1
0.991319
hs_2
mult_heuristic
[ 19, 42, 13, 14 ]
34
[ "19+42=61", "13+14=27", "61-27=34" ]
Current State: 34:[19, 42, 13, 14], Operations: [] Exploring Operation: 19+42=61, Resulting Numbers: [13, 14, 61] Generated Node #2: [13, 14, 61] from Operation: 19+42=61 Current State: 34:[13, 14, 61], Operations: ['19+42=61'] Exploring Operation: 13+14=27, Resulting Numbers: [61, 27] Generated Node #3: [61, 27] from Operation: 13+14=27 Current State: 34:[61, 27], Operations: ['19+42=61', '13+14=27'] Exploring Operation: 61-27=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
Current State: 34:[19, 42, 13, 14], Operations: [] Exploring Operation: 42-13=29, Resulting Numbers: [19, 14, 29] Generated Node #0,0: 34:[19, 14, 29] Operation: 42-13=29 Exploring Operation: 42/14=3, Resulting Numbers: [19, 13, 3] Generated Node #0,1: 34:[19, 13, 3] Operation: 42/14=3 Moving to Node #0,1 Current State: 34:[19, 13, 3], Operations: ['42/14=3'] Exploring Operation: 19+13=32, Resulting Numbers: [3, 32] Generated Node #0,1,0: 34:[3, 32] Operation: 19+13=32 Exploring Operation: 13+3=16, Resulting Numbers: [19, 16] Generated Node #0,1,1: 34:[19, 16] Operation: 13+3=16 Moving to Node #0,0 Current State: 34:[19, 14, 29], Operations: ['42-13=29'] Exploring Operation: 19+14=33, Resulting Numbers: [29, 33] Generated Node #0,0,0: 34:[29, 33] Operation: 19+14=33 Exploring Operation: 29-14=15, Resulting Numbers: [19, 15] Generated Node #0,0,1: 34:[19, 15] Operation: 29-14=15 Moving to Node #0,1,0 Current State: 34:[3, 32], Operations: ['42/14=3', '19+13=32'] Exploring Operation: 32-3=29, Resulting Numbers: [29] 29,34 unequal: No Solution Exploring Operation: 3+32=35, Resulting Numbers: [35] 35,34 unequal: No Solution Moving to Node #0,1,1 Current State: 34:[19, 16], Operations: ['42/14=3', '13+3=16'] Exploring Operation: 19+16=35, Resulting Numbers: [35] 35,34 unequal: No Solution Exploring Operation: 19-16=3, Resulting Numbers: [3] 3,34 unequal: No Solution Moving to Node #0,0,1 Current State: 34:[19, 15], Operations: ['42-13=29', '29-14=15'] Exploring Operation: 19-15=4, Resulting Numbers: [4] 4,34 unequal: No Solution Exploring Operation: 19+15=34, Resulting Numbers: [34] 34,34 equal: Goal Reached Moving to Node #0 Current State: 34:[19, 42, 13, 14], Operations: [] Exploring Operation: 42-13=29, Resulting Numbers: [19, 14, 29] Generated Node #0,0: 34:[19, 14, 29] Operation: 42-13=29 Moving to Node #0,0 Current State: 34:[19, 14, 29], Operations: ['42-13=29'] Exploring Operation: 29-14=15, Resulting Numbers: [19, 15] Generated Node #0,0,1: 34:[19, 15] Operation: 29-14=15 Moving to Node #0,0,1 Current State: 34:[19, 15], Operations: ['42-13=29', '29-14=15'] Exploring Operation: 19+15=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
0.986111
hs_2
mult_heuristic
[ 25, 47, 70, 29 ]
31
[ "25+47=72", "70-29=41", "72-41=31" ]
Current State: 31:[25, 47, 70, 29], Operations: [] Exploring Operation: 25+47=72, Resulting Numbers: [70, 29, 72] Generated Node #2: [70, 29, 72] from Operation: 25+47=72 Current State: 31:[70, 29, 72], Operations: ['25+47=72'] Exploring Operation: 70-29=41, Resulting Numbers: [72, 41] Generated Node #3: [72, 41] from Operation: 70-29=41 Current State: 31:[72, 41], Operations: ['25+47=72', '70-29=41'] Exploring Operation: 72-41=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
Current State: 31:[25, 47, 70, 29], Operations: [] Exploring Operation: 70-25=45, Resulting Numbers: [47, 29, 45] Generated Node #0,0: 31:[47, 29, 45] Operation: 70-25=45 Exploring Operation: 70-47=23, Resulting Numbers: [25, 29, 23] Generated Node #0,1: 31:[25, 29, 23] Operation: 70-47=23 Exploring Operation: 47-25=22, Resulting Numbers: [70, 29, 22] Generated Node #0,2: 31:[70, 29, 22] Operation: 47-25=22 Exploring Operation: 70-29=41, Resulting Numbers: [25, 47, 41] Generated Node #0,3: 31:[25, 47, 41] Operation: 70-29=41 Moving to Node #0,1 Current State: 31:[25, 29, 23], Operations: ['70-47=23'] Exploring Operation: 25+23=48, Resulting Numbers: [29, 48] Generated Node #0,1,0: 31:[29, 48] Operation: 25+23=48 Exploring Operation: 25+29=54, Resulting Numbers: [23, 54] Generated Node #0,1,1: 31:[23, 54] Operation: 25+29=54 Exploring Operation: 25-23=2, Resulting Numbers: [29, 2] Generated Node #0,1,2: 31:[29, 2] Operation: 25-23=2 Exploring Operation: 29+23=52, Resulting Numbers: [25, 52] Generated Node #0,1,3: 31:[25, 52] Operation: 29+23=52 Moving to Node #0,3 Current State: 31:[25, 47, 41], Operations: ['70-29=41'] Exploring Operation: 25+47=72, Resulting Numbers: [41, 72] Generated Node #0,3,0: 31:[41, 72] Operation: 25+47=72 Exploring Operation: 47-41=6, Resulting Numbers: [25, 6] Generated Node #0,3,1: 31:[25, 6] Operation: 47-41=6 Exploring Operation: 41-25=16, Resulting Numbers: [47, 16] Generated Node #0,3,2: 31:[47, 16] Operation: 41-25=16 Exploring Operation: 47-25=22, Resulting Numbers: [41, 22] Generated Node #0,3,3: 31:[41, 22] Operation: 47-25=22 Moving to Node #0,0 Current State: 31:[47, 29, 45], Operations: ['70-25=45'] Exploring Operation: 47+29=76, Resulting Numbers: [45, 76] Generated Node #0,0,0: 31:[45, 76] Operation: 47+29=76 Exploring Operation: 47-29=18, Resulting Numbers: [45, 18] Generated Node #0,0,1: 31:[45, 18] Operation: 47-29=18 Exploring Operation: 47-45=2, Resulting Numbers: [29, 2] Generated Node #0,0,2: 31:[29, 2] Operation: 47-45=2 Exploring Operation: 45-29=16, Resulting Numbers: [47, 16] Generated Node #0,0,3: 31:[47, 16] Operation: 45-29=16 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 31:[45, 18], Operations: ['70-25=45', '47-29=18'] Exploring Operation: 45+18=63, Resulting Numbers: [63] 63,31 unequal: No Solution Exploring Operation: 45-18=27, Resulting Numbers: [27] 27,31 unequal: No Solution Exploring Operation: 45*18=810, Resulting Numbers: [810] 810,31 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: 31:[29, 2], Operations: ['70-25=45', '47-45=2'] Exploring Operation: 29-2=27, Resulting Numbers: [27] 27,31 unequal: No Solution Exploring Operation: 29+2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached Moving to Node #0 Current State: 31:[25, 47, 70, 29], Operations: [] Exploring Operation: 70-25=45, Resulting Numbers: [47, 29, 45] Generated Node #0,0: 31:[47, 29, 45] Operation: 70-25=45 Moving to Node #0,0 Current State: 31:[47, 29, 45], Operations: ['70-25=45'] Exploring Operation: 47-45=2, Resulting Numbers: [29, 2] Generated Node #0,0,2: 31:[29, 2] Operation: 47-45=2 Moving to Node #0,0,2 Current State: 31:[29, 2], Operations: ['70-25=45', '47-45=2'] Exploring Operation: 29+2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached Exit Sub Search at level 1
0.978299
hs_4
mult_heuristic
[ 12, 15, 22, 50 ]
75
[ "15-12=3", "22+50=72", "3+72=75" ]
Current State: 75:[12, 15, 22, 50], Operations: [] Exploring Operation: 15-12=3, Resulting Numbers: [22, 50, 3] Generated Node #2: [22, 50, 3] from Operation: 15-12=3 Current State: 75:[22, 50, 3], Operations: ['15-12=3'] Exploring Operation: 22+50=72, Resulting Numbers: [3, 72] Generated Node #3: [3, 72] from Operation: 22+50=72 Current State: 75:[3, 72], Operations: ['15-12=3', '22+50=72'] Exploring Operation: 3+72=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
Current State: 75:[12, 15, 22, 50], Operations: [] Exploring Operation: 22+50=72, Resulting Numbers: [12, 15, 72] Generated Node #0,0: 75:[12, 15, 72] Operation: 22+50=72 Moving to Node #0,0 Current State: 75:[12, 15, 72], Operations: ['22+50=72'] Exploring Operation: 72/12=6, Resulting Numbers: [15, 6] Generated Node #0,0,0: 75:[15, 6] Operation: 72/12=6 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 75:[15, 6], Operations: ['22+50=72', '72/12=6'] Exploring Operation: 15+6=21, Resulting Numbers: [21] 21,75 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
[ 17, 19, 72, 36 ]
18
[ "17+19=36", "72/36=2", "36/2=18" ]
Current State: 18:[17, 19, 72, 36], Operations: [] Exploring Operation: 17+19=36, Resulting Numbers: [72, 36, 36] Generated Node #2: [72, 36, 36] from Operation: 17+19=36 Current State: 18:[72, 36, 36], Operations: ['17+19=36'] Exploring Operation: 72/36=2, Resulting Numbers: [2] 2,18 equal: Goal Reached Exploring Operation: 36/2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
Current State: 18:[17, 19, 72, 36], Operations: [] Exploring Operation: 72/36=2, Resulting Numbers: [17, 19, 2] Generated Node #0,0: 18:[17, 19, 2] Operation: 72/36=2 Exploring Operation: 72-19=53, Resulting Numbers: [17, 36, 53] Generated Node #0,1: 18:[17, 36, 53] Operation: 72-19=53 Exploring Operation: 72-36=36, Resulting Numbers: [17, 19, 36] Generated Node #0,2: 18:[17, 19, 36] Operation: 72-36=36 Moving to Node #0,0 Current State: 18:[17, 19, 2], Operations: ['72/36=2'] Exploring Operation: 19-2=17, Resulting Numbers: [17, 17] Generated Node #0,0,0: 18:[17, 17] Operation: 19-2=17 Exploring Operation: 17+2=19, Resulting Numbers: [19, 19] Generated Node #0,0,1: 18:[19, 19] Operation: 17+2=19 Exploring Operation: 19-17=2, Resulting Numbers: [2, 2] Generated Node #0,0,2: 18:[2, 2] Operation: 19-17=2 Moving to Node #0,2 Current State: 18:[17, 19, 36], Operations: ['72-36=36'] Exploring Operation: 36-17=19, Resulting Numbers: [19, 19] Generated Node #0,2,0: 18:[19, 19] Operation: 36-17=19 Exploring Operation: 36-19=17, Resulting Numbers: [17, 17] Generated Node #0,2,1: 18:[17, 17] Operation: 36-19=17 Exploring Operation: 19-17=2, Resulting Numbers: [36, 2] Generated Node #0,2,2: 18:[36, 2] Operation: 19-17=2 Moving to Node #0,1 Current State: 18:[17, 36, 53], Operations: ['72-19=53'] Exploring Operation: 53-17=36, Resulting Numbers: [36, 36] Generated Node #0,1,0: 18:[36, 36] Operation: 53-17=36 Exploring Operation: 53-36=17, Resulting Numbers: [17, 17] Generated Node #0,1,1: 18:[17, 17] Operation: 53-36=17 Exploring Operation: 36-17=19, Resulting Numbers: [53, 19] Generated Node #0,1,2: 18:[53, 19] Operation: 36-17=19 Moving to Node #0,0,2 Current State: 18:[2, 2], Operations: ['72/36=2', '19-17=2'] Exploring Operation: 2*2=4, Resulting Numbers: [4] 4,18 unequal: No Solution Exploring Operation: 2/2=1, Resulting Numbers: [1] 1,18 unequal: No Solution Exploring Operation: 2+2=4, Resulting Numbers: [4] 4,18 unequal: No Solution Moving to Node #0,0,1 Current State: 18:[19, 19], Operations: ['72/36=2', '17+2=19'] Exploring Operation: 19+19=38, Resulting Numbers: [38] 38,18 unequal: No Solution Exploring Operation: 19/19=1, Resulting Numbers: [1] 1,18 unequal: No Solution Exploring Operation: 19-19=0, Resulting Numbers: [0] 0,18 unequal: No Solution Moving to Node #0,1,1 Current State: 18:[17, 17], Operations: ['72-19=53', '53-36=17'] Exploring Operation: 17-17=0, Resulting Numbers: [0] 0,18 unequal: No Solution Exploring Operation: 17/17=1, Resulting Numbers: [1] 1,18 unequal: No Solution Exploring Operation: 17+17=34, Resulting Numbers: [34] 34,18 unequal: No Solution Moving to Node #0,0,0 Current State: 18:[17, 17], Operations: ['72/36=2', '19-2=17'] Exploring Operation: 17-17=0, Resulting Numbers: [0] 0,18 unequal: No Solution Exploring Operation: 17/17=1, Resulting Numbers: [1] 1,18 unequal: No Solution Exploring Operation: 17+17=34, Resulting Numbers: [34] 34,18 unequal: No Solution Moving to Node #0,2,1 Current State: 18:[17, 17], Operations: ['72-36=36', '36-19=17'] Exploring Operation: 17+17=34, Resulting Numbers: [34] 34,18 unequal: No Solution Exploring Operation: 17-17=0, Resulting Numbers: [0] 0,18 unequal: No Solution Exploring Operation: 17/17=1, Resulting Numbers: [1] 1,18 unequal: No Solution Moving to Node #0,2,0 Current State: 18:[19, 19], Operations: ['72-36=36', '36-17=19'] Exploring Operation: 19+19=38, Resulting Numbers: [38] 38,18 unequal: No Solution Exploring Operation: 19/19=1, Resulting Numbers: [1] 1,18 unequal: No Solution Exploring Operation: 19-19=0, Resulting Numbers: [0] 0,18 unequal: No Solution Moving to Node #0,2,2 Current State: 18:[36, 2], Operations: ['72-36=36', '19-17=2'] Exploring Operation: 36/2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached Moving to Node #0 Current State: 18:[17, 19, 72, 36], Operations: [] Exploring Operation: 72-36=36, Resulting Numbers: [17, 19, 36] Generated Node #0,2: 18:[17, 19, 36] Operation: 72-36=36 Moving to Node #0,2 Current State: 18:[17, 19, 36], Operations: ['72-36=36'] Exploring Operation: 19-17=2, Resulting Numbers: [36, 2] Generated Node #0,2,2: 18:[36, 2] Operation: 19-17=2 Moving to Node #0,2,2 Current State: 18:[36, 2], Operations: ['72-36=36', '19-17=2'] Exploring Operation: 36/2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
0.969618
hs_3
mult_heuristic
[ 78, 54, 65, 36 ]
31
[ "78+54=132", "65+36=101", "132-101=31" ]
Current State: 31:[78, 54, 65, 36], Operations: [] Exploring Operation: 78+54=132, Resulting Numbers: [65, 36, 132] Generated Node #2: [65, 36, 132] from Operation: 78+54=132 Current State: 31:[65, 36, 132], Operations: ['78+54=132'] Exploring Operation: 65+36=101, Resulting Numbers: [132, 101] Generated Node #3: [132, 101] from Operation: 65+36=101 Current State: 31:[132, 101], Operations: ['78+54=132', '65+36=101'] Exploring Operation: 132-101=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
Current State: 31:[78, 54, 65, 36], Operations: [] Exploring Operation: 78-54=24, Resulting Numbers: [65, 36, 24] Generated Node #0,0: 31:[65, 36, 24] Operation: 78-54=24 Exploring Operation: 78-65=13, Resulting Numbers: [54, 36, 13] Generated Node #0,1: 31:[54, 36, 13] Operation: 78-65=13 Start Sub Search at level 1: Moving to Node #0,0 Current State: 31:[65, 36, 24], Operations: ['78-54=24'] Exploring Operation: 65-36=29, Resulting Numbers: [24, 29] Generated Node #0,0,0: 31:[24, 29] Operation: 65-36=29 Exploring Operation: 65-24=41, Resulting Numbers: [36, 41] Generated Node #0,0,1: 31:[36, 41] Operation: 65-24=41 Moving to Node #0,0,0 Current State: 31:[24, 29], Operations: ['78-54=24', '65-36=29'] Exploring Operation: 24+29=53, Resulting Numbers: [53] 53,31 unequal: No Solution Exploring Operation: 29-24=5, Resulting Numbers: [5] 5,31 unequal: No Solution Moving to Node #0,0,1 Current State: 31:[36, 41], Operations: ['78-54=24', '65-24=41'] Exploring Operation: 36+41=77, Resulting Numbers: [77] 77,31 unequal: No Solution Exploring Operation: 41-36=5, Resulting Numbers: [5] 5,31 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: 31:[54, 36, 13], Operations: ['78-65=13'] Exploring Operation: 54-36=18, Resulting Numbers: [13, 18] Generated Node #0,1,0: 31:[13, 18] Operation: 54-36=18 Exploring Operation: 54-13=41, Resulting Numbers: [36, 41] Generated Node #0,1,1: 31:[36, 41] Operation: 54-13=41 Moving to Node #0,1,1 Current State: 31:[36, 41], Operations: ['78-65=13', '54-13=41'] Exploring Operation: 36+41=77, Resulting Numbers: [77] 77,31 unequal: No Solution Exploring Operation: 41-36=5, Resulting Numbers: [5] 5,31 unequal: No Solution Moving to Node #0,1,0 Current State: 31:[13, 18], Operations: ['78-65=13', '54-36=18'] Exploring Operation: 18-13=5, Resulting Numbers: [5] 5,31 unequal: No Solution Exploring Operation: 13+18=31, Resulting Numbers: [31] 31,31 equal: Goal Reached Moving to Node #0 Current State: 31:[78, 54, 65, 36], Operations: [] Exploring Operation: 78-65=13, Resulting Numbers: [54, 36, 13] Generated Node #0,1: 31:[54, 36, 13] Operation: 78-65=13 Moving to Node #0,1 Current State: 31:[54, 36, 13], Operations: ['78-65=13'] Exploring Operation: 54-36=18, Resulting Numbers: [13, 18] Generated Node #0,1,0: 31:[13, 18] Operation: 54-36=18 Moving to Node #0,1,0 Current State: 31:[13, 18], Operations: ['78-65=13', '54-36=18'] Exploring Operation: 13+18=31, Resulting Numbers: [31] 31,31 equal: Goal Reached Exit Sub Search at level 1
0.984375
hs_2
sum_heuristic
[ 62, 72, 27, 38 ]
21
[ "72-62=10", "38-27=11", "10+11=21" ]
Current State: 21:[62, 72, 27, 38], Operations: [] Exploring Operation: 72-62=10, Resulting Numbers: [27, 38, 10] Generated Node #2: [27, 38, 10] from Operation: 72-62=10 Current State: 21:[27, 38, 10], Operations: ['72-62=10'] Exploring Operation: 38-27=11, Resulting Numbers: [10, 11] Generated Node #3: [10, 11] from Operation: 38-27=11 Current State: 21:[10, 11], Operations: ['72-62=10', '38-27=11'] Exploring Operation: 10+11=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
Current State: 21:[62, 72, 27, 38], Operations: [] Exploring Operation: 72-62=10, Resulting Numbers: [27, 38, 10] Generated Node #0,0: 21:[27, 38, 10] Operation: 72-62=10 Exploring Operation: 62-38=24, Resulting Numbers: [72, 27, 24] Generated Node #0,1: 21:[72, 27, 24] Operation: 62-38=24 Start Sub Search at level 1: Moving to Node #0,0 Current State: 21:[27, 38, 10], Operations: ['72-62=10'] Exploring Operation: 38-10=28, Resulting Numbers: [27, 28] Generated Node #0,0,0: 21:[27, 28] Operation: 38-10=28 Exploring Operation: 38-27=11, Resulting Numbers: [10, 11] Generated Node #0,0,1: 21:[10, 11] Operation: 38-27=11 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 21:[10, 11], Operations: ['72-62=10', '38-27=11'] Exploring Operation: 10+11=21, Resulting Numbers: [21] 21,21 equal: Goal Reached Moving to Node #0 Current State: 21:[62, 72, 27, 38], Operations: [] Exploring Operation: 72-62=10, Resulting Numbers: [27, 38, 10] Generated Node #0,0: 21:[27, 38, 10] Operation: 72-62=10 Moving to Node #0,0 Current State: 21:[27, 38, 10], Operations: ['72-62=10'] Exploring Operation: 38-27=11, Resulting Numbers: [10, 11] Generated Node #0,0,1: 21:[10, 11] Operation: 38-27=11 Moving to Node #0,0,1 Current State: 21:[10, 11], Operations: ['72-62=10', '38-27=11'] Exploring Operation: 10+11=21, Resulting Numbers: [21] 21,21 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.992188
hs_2
sum_heuristic
[ 10, 67, 46, 59 ]
23
[ "67-10=57", "59-57=2", "46/2=23" ]
Current State: 23:[10, 67, 46, 59], Operations: [] Exploring Operation: 67-10=57, Resulting Numbers: [46, 59, 57] Generated Node #2: [46, 59, 57] from Operation: 67-10=57 Current State: 23:[46, 59, 57], Operations: ['67-10=57'] Exploring Operation: 59-57=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 59-57=2 Current State: 23:[46, 2], Operations: ['67-10=57', '59-57=2'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
Current State: 23:[10, 67, 46, 59], Operations: [] Exploring Operation: 46-10=36, Resulting Numbers: [67, 59, 36] Generated Node #0,0: 23:[67, 59, 36] Operation: 46-10=36 Exploring Operation: 67-10=57, Resulting Numbers: [46, 59, 57] Generated Node #0,1: 23:[46, 59, 57] Operation: 67-10=57 Exploring Operation: 67-59=8, Resulting Numbers: [10, 46, 8] Generated Node #0,2: 23:[10, 46, 8] Operation: 67-59=8 Exploring Operation: 67-46=21, Resulting Numbers: [10, 59, 21] Generated Node #0,3: 23:[10, 59, 21] Operation: 67-46=21 Exploring Operation: 59-46=13, Resulting Numbers: [10, 67, 13] Generated Node #0,4: 23:[10, 67, 13] Operation: 59-46=13 Moving to Node #0,2 Current State: 23:[10, 46, 8], Operations: ['67-59=8'] Exploring Operation: 10+8=18, Resulting Numbers: [46, 18] Generated Node #0,2,0: 23:[46, 18] Operation: 10+8=18 Exploring Operation: 46-10=36, Resulting Numbers: [8, 36] Generated Node #0,2,1: 23:[8, 36] Operation: 46-10=36 Exploring Operation: 46-8=38, Resulting Numbers: [10, 38] Generated Node #0,2,2: 23:[10, 38] Operation: 46-8=38 Exploring Operation: 10-8=2, Resulting Numbers: [46, 2] Generated Node #0,2,3: 23:[46, 2] Operation: 10-8=2 Exploring Operation: 46+8=54, Resulting Numbers: [10, 54] Generated Node #0,2,4: 23:[10, 54] Operation: 46+8=54 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 23:[46, 18], Operations: ['67-59=8', '10+8=18'] Exploring Operation: 46+18=64, Resulting Numbers: [64] 64,23 unequal: No Solution Exploring Operation: 46-18=28, Resulting Numbers: [28] 28,23 unequal: No Solution Exploring Operation: 46*18=828, Resulting Numbers: [828] 828,23 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: 23:[8, 36], Operations: ['67-59=8', '46-10=36'] Exploring Operation: 36-8=28, Resulting Numbers: [28] 28,23 unequal: No Solution Exploring Operation: 8+36=44, Resulting Numbers: [44] 44,23 unequal: No Solution Exploring Operation: 8*36=288, Resulting Numbers: [288] 288,23 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: 23:[10, 38], Operations: ['67-59=8', '46-8=38'] Exploring Operation: 10*38=380, Resulting Numbers: [380] 380,23 unequal: No Solution Exploring Operation: 38-10=28, Resulting Numbers: [28] 28,23 unequal: No Solution Exploring Operation: 10+38=48, Resulting Numbers: [48] 48,23 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: 23:[46, 2], Operations: ['67-59=8', '10-8=2'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached Moving to Node #0 Current State: 23:[10, 67, 46, 59], Operations: [] Exploring Operation: 67-59=8, Resulting Numbers: [10, 46, 8] Generated Node #0,2: 23:[10, 46, 8] Operation: 67-59=8 Moving to Node #0,2 Current State: 23:[10, 46, 8], Operations: ['67-59=8'] Exploring Operation: 10-8=2, Resulting Numbers: [46, 2] Generated Node #0,2,3: 23:[46, 2] Operation: 10-8=2 Moving to Node #0,2,3 Current State: 23:[46, 2], Operations: ['67-59=8', '10-8=2'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached Exit Sub Search at level 1
0.979167
hs_5
sum_heuristic
[ 80, 66, 7, 72 ]
70
[ "80-66=14", "14/7=2", "72-2=70" ]
Current State: 70:[80, 66, 7, 72], Operations: [] Exploring Operation: 80-66=14, Resulting Numbers: [7, 72, 14] Generated Node #2: [7, 72, 14] from Operation: 80-66=14 Current State: 70:[7, 72, 14], Operations: ['80-66=14'] Exploring Operation: 14/7=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 14/7=2 Current State: 70:[72, 2], Operations: ['80-66=14', '14/7=2'] Exploring Operation: 72-2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
Current State: 70:[80, 66, 7, 72], Operations: [] Exploring Operation: 80-66=14, Resulting Numbers: [7, 72, 14] Generated Node #0,0: 70:[7, 72, 14] Operation: 80-66=14 Moving to Node #0,0 Current State: 70:[7, 72, 14], Operations: ['80-66=14'] Exploring Operation: 14-7=7, Resulting Numbers: [72, 7] Generated Node #0,0,0: 70:[72, 7] Operation: 14-7=7 Moving to Node #0,0,0 Current State: 70:[72, 7], Operations: ['80-66=14', '14-7=7'] Exploring Operation: 72-7=65, Resulting Numbers: [65] 65,70 unequal: No Solution No solution found.
0
hs_1
sum_heuristic
[ 46, 11, 69, 58 ]
46
[ "46+11=57", "69-58=11", "57-11=46" ]
Current State: 46:[46, 11, 69, 58], Operations: [] Exploring Operation: 46+11=57, Resulting Numbers: [69, 58, 57] Generated Node #2: [69, 58, 57] from Operation: 46+11=57 Current State: 46:[69, 58, 57], Operations: ['46+11=57'] Exploring Operation: 69-58=11, Resulting Numbers: [57, 11] Generated Node #3: [57, 11] from Operation: 69-58=11 Current State: 46:[57, 11], Operations: ['46+11=57', '69-58=11'] Exploring Operation: 57-11=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
Current State: 46:[46, 11, 69, 58], Operations: [] Exploring Operation: 69-58=11, Resulting Numbers: [46, 11, 11] Generated Node #0,0: 46:[46, 11, 11] Operation: 69-58=11 Exploring Operation: 69-46=23, Resulting Numbers: [11, 58, 23] Generated Node #0,1: 46:[11, 58, 23] Operation: 69-46=23 Moving to Node #0,0 Current State: 46:[46, 11, 11], Operations: ['69-58=11'] Exploring Operation: 11+11=22, Resulting Numbers: [46, 22] Generated Node #0,0,0: 46:[46, 22] Operation: 11+11=22 Exploring Operation: 11/11=1, Resulting Numbers: [46, 1] Generated Node #0,0,1: 46:[46, 1] Operation: 11/11=1 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 46:[46, 22], Operations: ['69-58=11', '11+11=22'] Exploring Operation: 46-22=24, Resulting Numbers: [24] 24,46 unequal: No Solution Exploring Operation: 46+22=68, Resulting Numbers: [68] 68,46 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 #0,0,1 Current State: 46:[46, 1], Operations: ['69-58=11', '11/11=1'] Exploring Operation: 46*1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached Moving to Node #0 Current State: 46:[46, 11, 69, 58], Operations: [] Exploring Operation: 69-58=11, Resulting Numbers: [46, 11, 11] Generated Node #0,0: 46:[46, 11, 11] Operation: 69-58=11 Moving to Node #0,0 Current State: 46:[46, 11, 11], Operations: ['69-58=11'] Exploring Operation: 11/11=1, Resulting Numbers: [46, 1] Generated Node #0,0,1: 46:[46, 1] Operation: 11/11=1 Moving to Node #0,0,1 Current State: 46:[46, 1], Operations: ['69-58=11', '11/11=1'] Exploring Operation: 46*1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached Exit Sub Search at level 1
0.990451
hs_2
mult_heuristic
[ 88, 82, 4, 73 ]
71
[ "88-82=6", "4+73=77", "77-6=71" ]
Current State: 71:[88, 82, 4, 73], Operations: [] Exploring Operation: 88-82=6, Resulting Numbers: [4, 73, 6] Generated Node #2: [4, 73, 6] from Operation: 88-82=6 Current State: 71:[4, 73, 6], Operations: ['88-82=6'] Exploring Operation: 4+73=77, Resulting Numbers: [6, 77] Generated Node #3: [6, 77] from Operation: 4+73=77 Current State: 71:[6, 77], Operations: ['88-82=6', '4+73=77'] Exploring Operation: 77-6=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
Current State: 71:[88, 82, 4, 73], Operations: [] Exploring Operation: 73-4=69, Resulting Numbers: [88, 82, 69] Generated Node #0,0: 71:[88, 82, 69] Operation: 73-4=69 Exploring Operation: 88-4=84, Resulting Numbers: [82, 73, 84] Generated Node #0,1: 71:[82, 73, 84] Operation: 88-4=84 Exploring Operation: 82-4=78, Resulting Numbers: [88, 73, 78] Generated Node #0,2: 71:[88, 73, 78] Operation: 82-4=78 Start Sub Search at level 1: Moving to Node #0,1 Current State: 71:[82, 73, 84], Operations: ['88-4=84'] Exploring Operation: 84-73=11, Resulting Numbers: [82, 11] Generated Node #0,1,0: 71:[82, 11] Operation: 84-73=11 Exploring Operation: 84-82=2, Resulting Numbers: [73, 2] Generated Node #0,1,1: 71:[73, 2] Operation: 84-82=2 Exploring Operation: 82-73=9, Resulting Numbers: [84, 9] Generated Node #0,1,2: 71:[84, 9] Operation: 82-73=9 Moving to Node #0,1,0 Current State: 71:[82, 11], Operations: ['88-4=84', '84-73=11'] Exploring Operation: 82*11=902, Resulting Numbers: [902] 902,71 unequal: No Solution Exploring Operation: 82-11=71, Resulting Numbers: [71] 71,71 equal: Goal Reached Moving to Node #0 Current State: 71:[88, 82, 4, 73], Operations: [] Exploring Operation: 88-4=84, Resulting Numbers: [82, 73, 84] Generated Node #0,1: 71:[82, 73, 84] Operation: 88-4=84 Moving to Node #0,1 Current State: 71:[82, 73, 84], Operations: ['88-4=84'] Exploring Operation: 84-73=11, Resulting Numbers: [82, 11] Generated Node #0,1,0: 71:[82, 11] Operation: 84-73=11 Moving to Node #0,1,0 Current State: 71:[82, 11], Operations: ['88-4=84', '84-73=11'] Exploring Operation: 82-11=71, Resulting Numbers: [71] 71,71 equal: Goal Reached Exit Sub Search at level 1
0.989583
hs_3
sum_heuristic
[ 13, 39, 73, 61 ]
38
[ "39-13=26", "73-61=12", "26+12=38" ]
Current State: 38:[13, 39, 73, 61], Operations: [] Exploring Operation: 39-13=26, Resulting Numbers: [73, 61, 26] Generated Node #2: [73, 61, 26] from Operation: 39-13=26 Current State: 38:[73, 61, 26], Operations: ['39-13=26'] Exploring Operation: 73-61=12, Resulting Numbers: [26, 12] Generated Node #3: [26, 12] from Operation: 73-61=12 Current State: 38:[26, 12], Operations: ['39-13=26', '73-61=12'] Exploring Operation: 26+12=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
Current State: 38:[13, 39, 73, 61], Operations: [] Exploring Operation: 73-61=12, Resulting Numbers: [13, 39, 12] Generated Node #0,0: 38:[13, 39, 12] Operation: 73-61=12 Moving to Node #0,0 Current State: 38:[13, 39, 12], Operations: ['73-61=12'] Exploring Operation: 13-12=1, Resulting Numbers: [39, 1] Generated Node #0,0,0: 38:[39, 1] Operation: 13-12=1 Moving to Node #0,0,0 Current State: 38:[39, 1], Operations: ['73-61=12', '13-12=1'] Exploring Operation: 39-1=38, Resulting Numbers: [38] 38,38 equal: Goal Reached Moving to Node #0 Current State: 38:[13, 39, 73, 61], Operations: [] Exploring Operation: 73-61=12, Resulting Numbers: [13, 39, 12] Generated Node #0,0: 38:[13, 39, 12] Operation: 73-61=12 Moving to Node #0,0 Current State: 38:[13, 39, 12], Operations: ['73-61=12'] Exploring Operation: 13-12=1, Resulting Numbers: [39, 1] Generated Node #0,0,0: 38:[39, 1] Operation: 13-12=1 Moving to Node #0,0,0 Current State: 38:[39, 1], Operations: ['73-61=12', '13-12=1'] Exploring Operation: 39-1=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
0.993924
hs_1
sum_heuristic
[ 25, 19, 51, 2 ]
18
[ "25*2=50", "51-19=32", "50-32=18" ]
Current State: 18:[25, 19, 51, 2], Operations: [] Exploring Operation: 25*2=50, Resulting Numbers: [19, 51, 50] Generated Node #2: [19, 51, 50] from Operation: 25*2=50 Current State: 18:[19, 51, 50], Operations: ['25*2=50'] Exploring Operation: 51-19=32, Resulting Numbers: [50, 32] Generated Node #3: [50, 32] from Operation: 51-19=32 Current State: 18:[50, 32], Operations: ['25*2=50', '51-19=32'] Exploring Operation: 50-32=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
Current State: 18:[25, 19, 51, 2], Operations: [] Exploring Operation: 25-19=6, Resulting Numbers: [51, 2, 6] Generated Node #0,0: 18:[51, 2, 6] Operation: 25-19=6 Exploring Operation: 51-2=49, Resulting Numbers: [25, 19, 49] Generated Node #0,1: 18:[25, 19, 49] Operation: 51-2=49 Exploring Operation: 51-25=26, Resulting Numbers: [19, 2, 26] Generated Node #0,2: 18:[19, 2, 26] Operation: 51-25=26 Exploring Operation: 51-19=32, Resulting Numbers: [25, 2, 32] Generated Node #0,3: 18:[25, 2, 32] Operation: 51-19=32 Exploring Operation: 25-2=23, Resulting Numbers: [19, 51, 23] Generated Node #0,4: 18:[19, 51, 23] Operation: 25-2=23 Moving to Node #0,2 Current State: 18:[19, 2, 26], Operations: ['51-25=26'] Exploring Operation: 26-19=7, Resulting Numbers: [2, 7] Generated Node #0,2,0: 18:[2, 7] Operation: 26-19=7 Exploring Operation: 19-2=17, Resulting Numbers: [26, 17] Generated Node #0,2,1: 18:[26, 17] Operation: 19-2=17 Exploring Operation: 26/2=13, Resulting Numbers: [19, 13] Generated Node #0,2,2: 18:[19, 13] Operation: 26/2=13 Exploring Operation: 26-2=24, Resulting Numbers: [19, 24] Generated Node #0,2,3: 18:[19, 24] Operation: 26-2=24 Exploring Operation: 19+2=21, Resulting Numbers: [26, 21] Generated Node #0,2,4: 18:[26, 21] Operation: 19+2=21 Moving to Node #0,3 Current State: 18:[25, 2, 32], Operations: ['51-19=32'] Exploring Operation: 25-2=23, Resulting Numbers: [32, 23] Generated Node #0,3,0: 18:[32, 23] Operation: 25-2=23 Exploring Operation: 32/2=16, Resulting Numbers: [25, 16] Generated Node #0,3,1: 18:[25, 16] Operation: 32/2=16 Exploring Operation: 32-2=30, Resulting Numbers: [25, 30] Generated Node #0,3,2: 18:[25, 30] Operation: 32-2=30 Exploring Operation: 25+2=27, Resulting Numbers: [32, 27] Generated Node #0,3,3: 18:[32, 27] Operation: 25+2=27 Exploring Operation: 32-25=7, Resulting Numbers: [2, 7] Generated Node #0,3,4: 18:[2, 7] Operation: 32-25=7 Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 18:[2, 7], Operations: ['51-19=32', '32-25=7'] Exploring Operation: 2*7=14, Resulting Numbers: [14] 14,18 unequal: No Solution Exploring Operation: 2+7=9, Resulting Numbers: [9] 9,18 unequal: No Solution Exploring Operation: 7-2=5, Resulting Numbers: [5] 5,18 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 #0,3,1 Current State: 18:[25, 16], Operations: ['51-19=32', '32/2=16'] Exploring Operation: 25*16=400, Resulting Numbers: [400] 400,18 unequal: No Solution Exploring Operation: 25+16=41, Resulting Numbers: [41] 41,18 unequal: No Solution Exploring Operation: 25-16=9, Resulting Numbers: [9] 9,18 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 #0,3,0 Current State: 18:[32, 23], Operations: ['51-19=32', '25-2=23'] Exploring Operation: 32*23=736, Resulting Numbers: [736] 736,18 unequal: No Solution Exploring Operation: 32+23=55, Resulting Numbers: [55] 55,18 unequal: No Solution Exploring Operation: 32-23=9, Resulting Numbers: [9] 9,18 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 #0,3,2 Current State: 18:[25, 30], Operations: ['51-19=32', '32-2=30'] Exploring Operation: 25+30=55, Resulting Numbers: [55] 55,18 unequal: No Solution Exploring Operation: 25*30=750, Resulting Numbers: [750] 750,18 unequal: No Solution Exploring Operation: 30-25=5, Resulting Numbers: [5] 5,18 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 #0,3,3 Current State: 18:[32, 27], Operations: ['51-19=32', '25+2=27'] Exploring Operation: 32*27=864, Resulting Numbers: [864] 864,18 unequal: No Solution Exploring Operation: 32-27=5, Resulting Numbers: [5] 5,18 unequal: No Solution Exploring Operation: 32+27=59, Resulting Numbers: [59] 59,18 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: 18:[51, 2, 6], Operations: ['25-19=6'] Exploring Operation: 6-2=4, Resulting Numbers: [51, 4] Generated Node #0,0,0: 18:[51, 4] Operation: 6-2=4 Exploring Operation: 51-2=49, Resulting Numbers: [6, 49] Generated Node #0,0,1: 18:[6, 49] Operation: 51-2=49 Exploring Operation: 2+6=8, Resulting Numbers: [51, 8] Generated Node #0,0,2: 18:[51, 8] Operation: 2+6=8 Exploring Operation: 6/2=3, Resulting Numbers: [51, 3] Generated Node #0,0,3: 18:[51, 3] Operation: 6/2=3 Exploring Operation: 51-6=45, Resulting Numbers: [2, 45] Generated Node #0,0,4: 18:[2, 45] Operation: 51-6=45 Moving to Node #0,1 Current State: 18:[25, 19, 49], Operations: ['51-2=49'] Exploring Operation: 49-19=30, Resulting Numbers: [25, 30] Generated Node #0,1,0: 18:[25, 30] Operation: 49-19=30 Exploring Operation: 25-19=6, Resulting Numbers: [49, 6] Generated Node #0,1,1: 18:[49, 6] Operation: 25-19=6 Exploring Operation: 25+19=44, Resulting Numbers: [49, 44] Generated Node #0,1,2: 18:[49, 44] Operation: 25+19=44 Exploring Operation: 25+49=74, Resulting Numbers: [19, 74] Generated Node #0,1,3: 18:[19, 74] Operation: 25+49=74 Exploring Operation: 49-25=24, Resulting Numbers: [19, 24] Generated Node #0,1,4: 18:[19, 24] Operation: 49-25=24 Moving to Node #0,4 Current State: 18:[19, 51, 23], Operations: ['25-2=23'] Exploring Operation: 19+23=42, Resulting Numbers: [51, 42] Generated Node #0,4,0: 18:[51, 42] Operation: 19+23=42 Exploring Operation: 51-19=32, Resulting Numbers: [23, 32] Generated Node #0,4,1: 18:[23, 32] Operation: 51-19=32 Exploring Operation: 51-23=28, Resulting Numbers: [19, 28] Generated Node #0,4,2: 18:[19, 28] Operation: 51-23=28 Exploring Operation: 19+51=70, Resulting Numbers: [23, 70] Generated Node #0,4,3: 18:[23, 70] Operation: 19+51=70 Exploring Operation: 23-19=4, Resulting Numbers: [51, 4] Generated Node #0,4,4: 18:[51, 4] Operation: 23-19=4 Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 18:[19, 28], Operations: ['25-2=23', '51-23=28'] Exploring Operation: 28-19=9, Resulting Numbers: [9] 9,18 unequal: No Solution Exploring Operation: 19+28=47, Resulting Numbers: [47] 47,18 unequal: No Solution Exploring Operation: 19*28=532, Resulting Numbers: [532] 532,18 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 #0,4,1 Current State: 18:[23, 32], Operations: ['25-2=23', '51-19=32'] Exploring Operation: 32-23=9, Resulting Numbers: [9] 9,18 unequal: No Solution Exploring Operation: 23+32=55, Resulting Numbers: [55] 55,18 unequal: No Solution Exploring Operation: 23*32=736, Resulting Numbers: [736] 736,18 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 #0,4,4 Current State: 18:[51, 4], Operations: ['25-2=23', '23-19=4'] Exploring Operation: 51-4=47, Resulting Numbers: [47] 47,18 unequal: No Solution Exploring Operation: 51+4=55, Resulting Numbers: [55] 55,18 unequal: No Solution Exploring Operation: 51*4=204, Resulting Numbers: [204] 204,18 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 #0,4,0 Current State: 18:[51, 42], Operations: ['25-2=23', '19+23=42'] Exploring Operation: 51*42=2142, Resulting Numbers: [2142] 2142,18 unequal: No Solution Exploring Operation: 51-42=9, Resulting Numbers: [9] 9,18 unequal: No Solution Exploring Operation: 51+42=93, Resulting Numbers: [93] 93,18 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 #0,4,3 Current State: 18:[23, 70], Operations: ['25-2=23', '19+51=70'] Exploring Operation: 23*70=1610, Resulting Numbers: [1610] 1610,18 unequal: No Solution Exploring Operation: 23+70=93, Resulting Numbers: [93] 93,18 unequal: No Solution Exploring Operation: 70-23=47, Resulting Numbers: [47] 47,18 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2,0 Current State: 18:[2, 7], Operations: ['51-25=26', '26-19=7'] Exploring Operation: 2+7=9, Resulting Numbers: [9] 9,18 unequal: No Solution Exploring Operation: 7-2=5, Resulting Numbers: [5] 5,18 unequal: No Solution Exploring Operation: 2*7=14, Resulting Numbers: [14] 14,18 unequal: No Solution Moving to Node #0,2,2 Current State: 18:[19, 13], Operations: ['51-25=26', '26/2=13'] Exploring Operation: 19*13=247, Resulting Numbers: [247] 247,18 unequal: No Solution Exploring Operation: 19-13=6, Resulting Numbers: [6] 6,18 unequal: No Solution Exploring Operation: 19+13=32, Resulting Numbers: [32] 32,18 unequal: No Solution Moving to Node #0,2,3 Current State: 18:[19, 24], Operations: ['51-25=26', '26-2=24'] Exploring Operation: 19+24=43, Resulting Numbers: [43] 43,18 unequal: No Solution Exploring Operation: 24-19=5, Resulting Numbers: [5] 5,18 unequal: No Solution Exploring Operation: 19*24=456, Resulting Numbers: [456] 456,18 unequal: No Solution Moving to Node #0,1,4 Current State: 18:[19, 24], Operations: ['51-2=49', '49-25=24'] Exploring Operation: 24-19=5, Resulting Numbers: [5] 5,18 unequal: No Solution Exploring Operation: 19+24=43, Resulting Numbers: [43] 43,18 unequal: No Solution Exploring Operation: 19*24=456, Resulting Numbers: [456] 456,18 unequal: No Solution Moving to Node #0,2,1 Current State: 18:[26, 17], Operations: ['51-25=26', '19-2=17'] Exploring Operation: 26+17=43, Resulting Numbers: [43] 43,18 unequal: No Solution Exploring Operation: 26*17=442, Resulting Numbers: [442] 442,18 unequal: No Solution Exploring Operation: 26-17=9, Resulting Numbers: [9] 9,18 unequal: No Solution Moving to Node #0,2,4 Current State: 18:[26, 21], Operations: ['51-25=26', '19+2=21'] Exploring Operation: 26*21=546, Resulting Numbers: [546] 546,18 unequal: No Solution Exploring Operation: 26+21=47, Resulting Numbers: [47] 47,18 unequal: No Solution Exploring Operation: 26-21=5, Resulting Numbers: [5] 5,18 unequal: No Solution Moving to Node #0,1,0 Current State: 18:[25, 30], Operations: ['51-2=49', '49-19=30'] Exploring Operation: 25+30=55, Resulting Numbers: [55] 55,18 unequal: No Solution Exploring Operation: 25*30=750, Resulting Numbers: [750] 750,18 unequal: No Solution Exploring Operation: 30-25=5, Resulting Numbers: [5] 5,18 unequal: No Solution Moving to Node #0,0,4 Current State: 18:[2, 45], Operations: ['25-19=6', '51-6=45'] Exploring Operation: 2*45=90, Resulting Numbers: [90] 90,18 unequal: No Solution Exploring Operation: 2+45=47, Resulting Numbers: [47] 47,18 unequal: No Solution Exploring Operation: 45-2=43, Resulting Numbers: [43] 43,18 unequal: No Solution Moving to Node #0,0,1 Current State: 18:[6, 49], Operations: ['25-19=6', '51-2=49'] Exploring Operation: 6*49=294, Resulting Numbers: [294] 294,18 unequal: No Solution Exploring Operation: 6+49=55, Resulting Numbers: [55] 55,18 unequal: No Solution Exploring Operation: 49-6=43, Resulting Numbers: [43] 43,18 unequal: No Solution Moving to Node #0,1,1 Current State: 18:[49, 6], Operations: ['51-2=49', '25-19=6'] Exploring Operation: 49+6=55, Resulting Numbers: [55] 55,18 unequal: No Solution Exploring Operation: 49-6=43, Resulting Numbers: [43] 43,18 unequal: No Solution Exploring Operation: 49*6=294, Resulting Numbers: [294] 294,18 unequal: No Solution Moving to Node #0,0,3 Current State: 18:[51, 3], Operations: ['25-19=6', '6/2=3'] Exploring Operation: 51/3=17, Resulting Numbers: [17] 17,18 unequal: No Solution Exploring Operation: 51-3=48, Resulting Numbers: [48] 48,18 unequal: No Solution Exploring Operation: 51+3=54, Resulting Numbers: [54] 54,18 unequal: No Solution Exploring Operation: 51*3=153, Resulting Numbers: [153] 153,18 unequal: No Solution Moving to Node #0,0,0 Current State: 18:[51, 4], Operations: ['25-19=6', '6-2=4'] Exploring Operation: 51*4=204, Resulting Numbers: [204] 204,18 unequal: No Solution Exploring Operation: 51-4=47, Resulting Numbers: [47] 47,18 unequal: No Solution Exploring Operation: 51+4=55, Resulting Numbers: [55] 55,18 unequal: No Solution Moving to Node #0,0,2 Current State: 18:[51, 8], Operations: ['25-19=6', '2+6=8'] Exploring Operation: 51+8=59, Resulting Numbers: [59] 59,18 unequal: No Solution Exploring Operation: 51*8=408, Resulting Numbers: [408] 408,18 unequal: No Solution Exploring Operation: 51-8=43, Resulting Numbers: [43] 43,18 unequal: No Solution Moving to Node #0,1,3 Current State: 18:[19, 74], Operations: ['51-2=49', '25+49=74'] Exploring Operation: 19*74=1406, Resulting Numbers: [1406] 1406,18 unequal: No Solution Exploring Operation: 74-19=55, Resulting Numbers: [55] 55,18 unequal: No Solution Exploring Operation: 19+74=93, Resulting Numbers: [93] 93,18 unequal: No Solution Moving to Node #0,1,2 Current State: 18:[49, 44], Operations: ['51-2=49', '25+19=44'] Exploring Operation: 49-44=5, Resulting Numbers: [5] 5,18 unequal: No Solution Exploring Operation: 49+44=93, Resulting Numbers: [93] 93,18 unequal: No Solution Exploring Operation: 49*44=2156, Resulting Numbers: [2156] 2156,18 unequal: No Solution No solution found.
0
hs_5
sum_heuristic
[ 6, 56, 82, 98 ]
78
[ "6+56=62", "98-82=16", "62+16=78" ]
Current State: 78:[6, 56, 82, 98], Operations: [] Exploring Operation: 6+56=62, Resulting Numbers: [82, 98, 62] Generated Node #2: [82, 98, 62] from Operation: 6+56=62 Current State: 78:[82, 98, 62], Operations: ['6+56=62'] Exploring Operation: 98-82=16, Resulting Numbers: [62, 16] Generated Node #3: [62, 16] from Operation: 98-82=16 Current State: 78:[62, 16], Operations: ['6+56=62', '98-82=16'] Exploring Operation: 62+16=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
Current State: 78:[6, 56, 82, 98], Operations: [] Exploring Operation: 82-56=26, Resulting Numbers: [6, 98, 26] Generated Node #0,0: 78:[6, 98, 26] Operation: 82-56=26 Exploring Operation: 98-56=42, Resulting Numbers: [6, 82, 42] Generated Node #0,1: 78:[6, 82, 42] Operation: 98-56=42 Exploring Operation: 56-6=50, Resulting Numbers: [82, 98, 50] Generated Node #0,2: 78:[82, 98, 50] Operation: 56-6=50 Exploring Operation: 98-82=16, Resulting Numbers: [6, 56, 16] Generated Node #0,3: 78:[6, 56, 16] Operation: 98-82=16 Moving to Node #0,1 Current State: 78:[6, 82, 42], Operations: ['98-56=42'] Exploring Operation: 42-6=36, Resulting Numbers: [82, 36] Generated Node #0,1,0: 78:[82, 36] Operation: 42-6=36 Exploring Operation: 82-6=76, Resulting Numbers: [42, 76] Generated Node #0,1,1: 78:[42, 76] Operation: 82-6=76 Exploring Operation: 82-42=40, Resulting Numbers: [6, 40] Generated Node #0,1,2: 78:[6, 40] Operation: 82-42=40 Exploring Operation: 42/6=7, Resulting Numbers: [82, 7] Generated Node #0,1,3: 78:[82, 7] Operation: 42/6=7 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 78:[6, 40], Operations: ['98-56=42', '82-42=40'] Exploring Operation: 6*40=240, Resulting Numbers: [240] 240,78 unequal: No Solution Exploring Operation: 6+40=46, Resulting Numbers: [46] 46,78 unequal: No Solution Exploring Operation: 40-6=34, Resulting Numbers: [34] 34,78 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 #0,1,1 Current State: 78:[42, 76], Operations: ['98-56=42', '82-6=76'] Exploring Operation: 42+76=118, Resulting Numbers: [118] 118,78 unequal: No Solution Exploring Operation: 42*76=3192, Resulting Numbers: [3192] 3192,78 unequal: No Solution Exploring Operation: 76-42=34, Resulting Numbers: [34] 34,78 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 #0,1,3 Current State: 78:[82, 7], Operations: ['98-56=42', '42/6=7'] Exploring Operation: 82-7=75, Resulting Numbers: [75] 75,78 unequal: No Solution Exploring Operation: 82+7=89, Resulting Numbers: [89] 89,78 unequal: No Solution Exploring Operation: 82*7=574, Resulting Numbers: [574] 574,78 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 #0,1,0 Current State: 78:[82, 36], Operations: ['98-56=42', '42-6=36'] Exploring Operation: 82+36=118, Resulting Numbers: [118] 118,78 unequal: No Solution Exploring Operation: 82-36=46, Resulting Numbers: [46] 46,78 unequal: No Solution Exploring Operation: 82*36=2952, Resulting Numbers: [2952] 2952,78 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: 78:[6, 56, 16], Operations: ['98-82=16'] Exploring Operation: 6+56=62, Resulting Numbers: [16, 62] Generated Node #0,3,0: 78:[16, 62] Operation: 6+56=62 Exploring Operation: 56-16=40, Resulting Numbers: [6, 40] Generated Node #0,3,1: 78:[6, 40] Operation: 56-16=40 Exploring Operation: 56+16=72, Resulting Numbers: [6, 72] Generated Node #0,3,2: 78:[6, 72] Operation: 56+16=72 Exploring Operation: 56-6=50, Resulting Numbers: [16, 50] Generated Node #0,3,3: 78:[16, 50] Operation: 56-6=50 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 78:[6, 40], Operations: ['98-82=16', '56-16=40'] Exploring Operation: 40-6=34, Resulting Numbers: [34] 34,78 unequal: No Solution Exploring Operation: 6*40=240, Resulting Numbers: [240] 240,78 unequal: No Solution Exploring Operation: 6+40=46, Resulting Numbers: [46] 46,78 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 #0,3,2 Current State: 78:[6, 72], Operations: ['98-82=16', '56+16=72'] Exploring Operation: 72/6=12, Resulting Numbers: [12] 12,78 unequal: No Solution Exploring Operation: 6+72=78, Resulting Numbers: [78] 78,78 equal: Goal Reached Moving to Node #0 Current State: 78:[6, 56, 82, 98], Operations: [] Exploring Operation: 98-82=16, Resulting Numbers: [6, 56, 16] Generated Node #0,3: 78:[6, 56, 16] Operation: 98-82=16 Moving to Node #0,3 Current State: 78:[6, 56, 16], Operations: ['98-82=16'] Exploring Operation: 56+16=72, Resulting Numbers: [6, 72] Generated Node #0,3,2: 78:[6, 72] Operation: 56+16=72 Moving to Node #0,3,2 Current State: 78:[6, 72], Operations: ['98-82=16', '56+16=72'] Exploring Operation: 6+72=78, Resulting Numbers: [78] 78,78 equal: Goal Reached Exit Sub Search at level 1
0.971354
hs_4
sum_heuristic
[ 60, 11, 41, 68 ]
76
[ "60-11=49", "68-41=27", "49+27=76" ]
Current State: 76:[60, 11, 41, 68], Operations: [] Exploring Operation: 60-11=49, Resulting Numbers: [41, 68, 49] Generated Node #2: [41, 68, 49] from Operation: 60-11=49 Current State: 76:[41, 68, 49], Operations: ['60-11=49'] Exploring Operation: 68-41=27, Resulting Numbers: [49, 27] Generated Node #3: [49, 27] from Operation: 68-41=27 Current State: 76:[49, 27], Operations: ['60-11=49', '68-41=27'] Exploring Operation: 49+27=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
Current State: 76:[60, 11, 41, 68], Operations: [] Exploring Operation: 68-60=8, Resulting Numbers: [11, 41, 8] Generated Node #0,0: 76:[11, 41, 8] Operation: 68-60=8 Moving to Node #0,0 Current State: 76:[11, 41, 8], Operations: ['68-60=8'] Exploring Operation: 11+8=19, Resulting Numbers: [41, 19] Generated Node #0,0,0: 76:[41, 19] Operation: 11+8=19 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 76:[41, 19], Operations: ['68-60=8', '11+8=19'] Exploring Operation: 41-19=22, Resulting Numbers: [22] 22,76 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
[ 3, 60, 45, 50 ]
85
[ "3*60=180", "45+50=95", "180-95=85" ]
Current State: 85:[3, 60, 45, 50], Operations: [] Exploring Operation: 3*60=180, Resulting Numbers: [45, 50, 180] Generated Node #2: [45, 50, 180] from Operation: 3*60=180 Current State: 85:[45, 50, 180], Operations: ['3*60=180'] Exploring Operation: 45+50=95, Resulting Numbers: [180, 95] Generated Node #3: [180, 95] from Operation: 45+50=95 Current State: 85:[180, 95], Operations: ['3*60=180', '45+50=95'] Exploring Operation: 180-95=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
Current State: 85:[3, 60, 45, 50], Operations: [] Exploring Operation: 50-45=5, Resulting Numbers: [3, 60, 5] Generated Node #0,0: 85:[3, 60, 5] Operation: 50-45=5 Start Sub Search at level 1: Moving to Node #0,0 Current State: 85:[3, 60, 5], Operations: ['50-45=5'] Exploring Operation: 60/3=20, Resulting Numbers: [5, 20] Generated Node #0,0,0: 85:[5, 20] Operation: 60/3=20 Moving to Node #0,0,0 Current State: 85:[5, 20], Operations: ['50-45=5', '60/3=20'] Exploring Operation: 20/5=4, Resulting Numbers: [4] 4,85 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
[ 31, 21, 5, 19 ]
67
[ "21-19=2", "31*2=62", "5+62=67" ]
Current State: 67:[31, 21, 5, 19], Operations: [] Exploring Operation: 21-19=2, Resulting Numbers: [31, 5, 2] Generated Node #2: [31, 5, 2] from Operation: 21-19=2 Current State: 67:[31, 5, 2], Operations: ['21-19=2'] Exploring Operation: 31*2=62, Resulting Numbers: [5, 62] Generated Node #3: [5, 62] from Operation: 31*2=62 Current State: 67:[5, 62], Operations: ['21-19=2', '31*2=62'] Exploring Operation: 5+62=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
Current State: 67:[31, 21, 5, 19], Operations: [] Exploring Operation: 5*19=95, Resulting Numbers: [31, 21, 95] Generated Node #0,0: 67:[31, 21, 95] Operation: 5*19=95 Exploring Operation: 21*5=105, Resulting Numbers: [31, 19, 105] Generated Node #0,1: 67:[31, 19, 105] Operation: 21*5=105 Exploring Operation: 31+5=36, Resulting Numbers: [21, 19, 36] Generated Node #0,2: 67:[21, 19, 36] Operation: 31+5=36 Exploring Operation: 31+19=50, Resulting Numbers: [21, 5, 50] Generated Node #0,3: 67:[21, 5, 50] Operation: 31+19=50 Exploring Operation: 31+21=52, Resulting Numbers: [5, 19, 52] Generated Node #0,4: 67:[5, 19, 52] Operation: 31+21=52 Start Sub Search at level 1: Moving to Node #0,0 Current State: 67:[31, 21, 95], Operations: ['5*19=95'] Exploring Operation: 31-21=10, Resulting Numbers: [95, 10] Generated Node #0,0,0: 67:[95, 10] Operation: 31-21=10 Exploring Operation: 95-31=64, Resulting Numbers: [21, 64] Generated Node #0,0,1: 67:[21, 64] Operation: 95-31=64 Exploring Operation: 95-21=74, Resulting Numbers: [31, 74] Generated Node #0,0,2: 67:[31, 74] Operation: 95-21=74 Exploring Operation: 21+95=116, Resulting Numbers: [31, 116] Generated Node #0,0,3: 67:[31, 116] Operation: 21+95=116 Exploring Operation: 31+21=52, Resulting Numbers: [95, 52] Generated Node #0,0,4: 67:[95, 52] Operation: 31+21=52 Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 67:[31, 74], Operations: ['5*19=95', '95-21=74'] Exploring Operation: 31*74=2294, Resulting Numbers: [2294] 2294,67 unequal: No Solution Exploring Operation: 31+74=105, Resulting Numbers: [105] 105,67 unequal: No Solution Exploring Operation: 74-31=43, Resulting Numbers: [43] 43,67 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: 67:[95, 52], Operations: ['5*19=95', '31+21=52'] Exploring Operation: 95*52=4940, Resulting Numbers: [4940] 4940,67 unequal: No Solution Exploring Operation: 95+52=147, Resulting Numbers: [147] 147,67 unequal: No Solution Exploring Operation: 95-52=43, Resulting Numbers: [43] 43,67 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: 67:[21, 64], Operations: ['5*19=95', '95-31=64'] Exploring Operation: 21+64=85, Resulting Numbers: [85] 85,67 unequal: No Solution Exploring Operation: 21*64=1344, Resulting Numbers: [1344] 1344,67 unequal: No Solution Exploring Operation: 64-21=43, Resulting Numbers: [43] 43,67 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: 67:[95, 10], Operations: ['5*19=95', '31-21=10'] Exploring Operation: 95*10=950, Resulting Numbers: [950] 950,67 unequal: No Solution Exploring Operation: 95+10=105, Resulting Numbers: [105] 105,67 unequal: No Solution Exploring Operation: 95-10=85, Resulting Numbers: [85] 85,67 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: 67:[31, 116], Operations: ['5*19=95', '21+95=116'] Exploring Operation: 116-31=85, Resulting Numbers: [85] 85,67 unequal: No Solution Exploring Operation: 31*116=3596, Resulting Numbers: [3596] 3596,67 unequal: No Solution Exploring Operation: 31+116=147, Resulting Numbers: [147] 147,67 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: 67:[31, 19, 105], Operations: ['21*5=105'] Exploring Operation: 105-31=74, Resulting Numbers: [19, 74] Generated Node #0,1,0: 67:[19, 74] Operation: 105-31=74 Exploring Operation: 19+105=124, Resulting Numbers: [31, 124] Generated Node #0,1,1: 67:[31, 124] Operation: 19+105=124 Exploring Operation: 31+19=50, Resulting Numbers: [105, 50] Generated Node #0,1,2: 67:[105, 50] Operation: 31+19=50 Exploring Operation: 31-19=12, Resulting Numbers: [105, 12] Generated Node #0,1,3: 67:[105, 12] Operation: 31-19=12 Exploring Operation: 105-19=86, Resulting Numbers: [31, 86] Generated Node #0,1,4: 67:[31, 86] Operation: 105-19=86 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 67:[19, 74], Operations: ['21*5=105', '105-31=74'] Exploring Operation: 74-19=55, Resulting Numbers: [55] 55,67 unequal: No Solution Exploring Operation: 19*74=1406, Resulting Numbers: [1406] 1406,67 unequal: No Solution Exploring Operation: 19+74=93, Resulting Numbers: [93] 93,67 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: 67:[105, 50], Operations: ['21*5=105', '31+19=50'] Exploring Operation: 105*50=5250, Resulting Numbers: [5250] 5250,67 unequal: No Solution Exploring Operation: 105-50=55, Resulting Numbers: [55] 55,67 unequal: No Solution Exploring Operation: 105+50=155, Resulting Numbers: [155] 155,67 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: 67:[31, 86], Operations: ['21*5=105', '105-19=86'] Exploring Operation: 31+86=117, Resulting Numbers: [117] 117,67 unequal: No Solution Exploring Operation: 31*86=2666, Resulting Numbers: [2666] 2666,67 unequal: No Solution Exploring Operation: 86-31=55, Resulting Numbers: [55] 55,67 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: 67:[31, 124], Operations: ['21*5=105', '19+105=124'] Exploring Operation: 124-31=93, Resulting Numbers: [93] 93,67 unequal: No Solution Exploring Operation: 124/31=4, Resulting Numbers: [4] 4,67 unequal: No Solution Exploring Operation: 31+124=155, Resulting Numbers: [155] 155,67 unequal: No Solution Exploring Operation: 31*124=3844, Resulting Numbers: [3844] 3844,67 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: 67:[105, 12], Operations: ['21*5=105', '31-19=12'] Exploring Operation: 105+12=117, Resulting Numbers: [117] 117,67 unequal: No Solution Exploring Operation: 105-12=93, Resulting Numbers: [93] 93,67 unequal: No Solution Exploring Operation: 105*12=1260, Resulting Numbers: [1260] 1260,67 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: 67:[21, 19, 36], Operations: ['31+5=36'] Exploring Operation: 21+36=57, Resulting Numbers: [19, 57] Generated Node #0,2,0: 67:[19, 57] Operation: 21+36=57 Exploring Operation: 21+19=40, Resulting Numbers: [36, 40] Generated Node #0,2,1: 67:[36, 40] Operation: 21+19=40 Exploring Operation: 19+36=55, Resulting Numbers: [21, 55] Generated Node #0,2,2: 67:[21, 55] Operation: 19+36=55 Exploring Operation: 36-19=17, Resulting Numbers: [21, 17] Generated Node #0,2,3: 67:[21, 17] Operation: 36-19=17 Exploring Operation: 21-19=2, Resulting Numbers: [36, 2] Generated Node #0,2,4: 67:[36, 2] Operation: 21-19=2 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 67:[19, 57], Operations: ['31+5=36', '21+36=57'] Exploring Operation: 57/19=3, Resulting Numbers: [3] 3,67 unequal: No Solution Exploring Operation: 19+57=76, Resulting Numbers: [76] 76,67 unequal: No Solution Exploring Operation: 19*57=1083, Resulting Numbers: [1083] 1083,67 unequal: No Solution Exploring Operation: 57-19=38, Resulting Numbers: [38] 38,67 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: 67:[36, 40], Operations: ['31+5=36', '21+19=40'] Exploring Operation: 36+40=76, Resulting Numbers: [76] 76,67 unequal: No Solution Exploring Operation: 36*40=1440, Resulting Numbers: [1440] 1440,67 unequal: No Solution Exploring Operation: 40-36=4, Resulting Numbers: [4] 4,67 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: 67:[21, 55], Operations: ['31+5=36', '19+36=55'] Exploring Operation: 21*55=1155, Resulting Numbers: [1155] 1155,67 unequal: No Solution Exploring Operation: 21+55=76, Resulting Numbers: [76] 76,67 unequal: No Solution Exploring Operation: 55-21=34, Resulting Numbers: [34] 34,67 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: 67:[21, 17], Operations: ['31+5=36', '36-19=17'] Exploring Operation: 21*17=357, Resulting Numbers: [357] 357,67 unequal: No Solution Exploring Operation: 21+17=38, Resulting Numbers: [38] 38,67 unequal: No Solution Exploring Operation: 21-17=4, Resulting Numbers: [4] 4,67 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 #0,2,4 Current State: 67:[36, 2], Operations: ['31+5=36', '21-19=2'] Exploring Operation: 36/2=18, Resulting Numbers: [18] 18,67 unequal: No Solution Exploring Operation: 36*2=72, Resulting Numbers: [72] 72,67 unequal: No Solution Exploring Operation: 36+2=38, Resulting Numbers: [38] 38,67 unequal: No Solution Exploring Operation: 36-2=34, Resulting Numbers: [34] 34,67 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: 67:[21, 5, 50], Operations: ['31+19=50'] Exploring Operation: 21+50=71, Resulting Numbers: [5, 71] Generated Node #0,3,0: 67:[5, 71] Operation: 21+50=71 Exploring Operation: 21+5=26, Resulting Numbers: [50, 26] Generated Node #0,3,1: 67:[50, 26] Operation: 21+5=26 Exploring Operation: 21-5=16, Resulting Numbers: [50, 16] Generated Node #0,3,2: 67:[50, 16] Operation: 21-5=16 Exploring Operation: 5+50=55, Resulting Numbers: [21, 55] Generated Node #0,3,3: 67:[21, 55] Operation: 5+50=55 Exploring Operation: 21*5=105, Resulting Numbers: [50, 105] Generated Node #0,3,4: 67:[50, 105] Operation: 21*5=105 Start Sub Search at level 2: Moving to Node #0,3,4 Current State: 67:[50, 105], Operations: ['31+19=50', '21*5=105'] Exploring Operation: 105-50=55, Resulting Numbers: [55] 55,67 unequal: No Solution Exploring Operation: 50*105=5250, Resulting Numbers: [5250] 5250,67 unequal: No Solution Exploring Operation: 50+105=155, Resulting Numbers: [155] 155,67 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: 67:[50, 26], Operations: ['31+19=50', '21+5=26'] Exploring Operation: 50-26=24, Resulting Numbers: [24] 24,67 unequal: No Solution Exploring Operation: 50*26=1300, Resulting Numbers: [1300] 1300,67 unequal: No Solution Exploring Operation: 50+26=76, Resulting Numbers: [76] 76,67 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: 67:[21, 55], Operations: ['31+19=50', '5+50=55'] Exploring Operation: 55-21=34, Resulting Numbers: [34] 34,67 unequal: No Solution Exploring Operation: 21+55=76, Resulting Numbers: [76] 76,67 unequal: No Solution Exploring Operation: 21*55=1155, Resulting Numbers: [1155] 1155,67 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: 67:[5, 71], Operations: ['31+19=50', '21+50=71'] Exploring Operation: 5+71=76, Resulting Numbers: [76] 76,67 unequal: No Solution Exploring Operation: 5*71=355, Resulting Numbers: [355] 355,67 unequal: No Solution Exploring Operation: 71-5=66, Resulting Numbers: [66] 66,67 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: 67:[50, 16], Operations: ['31+19=50', '21-5=16'] Exploring Operation: 50+16=66, Resulting Numbers: [66] 66,67 unequal: No Solution Exploring Operation: 50-16=34, Resulting Numbers: [34] 34,67 unequal: No Solution Exploring Operation: 50*16=800, Resulting Numbers: [800] 800,67 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 #0,4 Current State: 67:[5, 19, 52], Operations: ['31+21=52'] Exploring Operation: 19+52=71, Resulting Numbers: [5, 71] Generated Node #0,4,0: 67:[5, 71] Operation: 19+52=71 Exploring Operation: 19-5=14, Resulting Numbers: [52, 14] Generated Node #0,4,1: 67:[52, 14] Operation: 19-5=14 Exploring Operation: 5*19=95, Resulting Numbers: [52, 95] Generated Node #0,4,2: 67:[52, 95] Operation: 5*19=95 Exploring Operation: 5+52=57, Resulting Numbers: [19, 57] Generated Node #0,4,3: 67:[19, 57] Operation: 5+52=57 Exploring Operation: 5+19=24, Resulting Numbers: [52, 24] Generated Node #0,4,4: 67:[52, 24] Operation: 5+19=24 Start Sub Search at level 2: Moving to Node #0,4,2 Current State: 67:[52, 95], Operations: ['31+21=52', '5*19=95'] Exploring Operation: 52*95=4940, Resulting Numbers: [4940] 4940,67 unequal: No Solution Exploring Operation: 95-52=43, Resulting Numbers: [43] 43,67 unequal: No Solution Exploring Operation: 52+95=147, Resulting Numbers: [147] 147,67 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: 67:[19, 57], Operations: ['31+21=52', '5+52=57'] Exploring Operation: 19*57=1083, Resulting Numbers: [1083] 1083,67 unequal: No Solution Exploring Operation: 19+57=76, Resulting Numbers: [76] 76,67 unequal: No Solution Exploring Operation: 57/19=3, Resulting Numbers: [3] 3,67 unequal: No Solution Exploring Operation: 57-19=38, Resulting Numbers: [38] 38,67 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: 67:[52, 24], Operations: ['31+21=52', '5+19=24'] Exploring Operation: 52+24=76, Resulting Numbers: [76] 76,67 unequal: No Solution Exploring Operation: 52-24=28, Resulting Numbers: [28] 28,67 unequal: No Solution Exploring Operation: 52*24=1248, Resulting Numbers: [1248] 1248,67 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: 67:[5, 71], Operations: ['31+21=52', '19+52=71'] Exploring Operation: 5*71=355, Resulting Numbers: [355] 355,67 unequal: No Solution Exploring Operation: 71-5=66, Resulting Numbers: [66] 66,67 unequal: No Solution Exploring Operation: 5+71=76, Resulting Numbers: [76] 76,67 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 #0,4,1 Current State: 67:[52, 14], Operations: ['31+21=52', '19-5=14'] Exploring Operation: 52+14=66, Resulting Numbers: [66] 66,67 unequal: No Solution Exploring Operation: 52*14=728, Resulting Numbers: [728] 728,67 unequal: No Solution Exploring Operation: 52-14=38, Resulting Numbers: [38] 38,67 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
sum_heuristic
[ 77, 7, 12, 2 ]
64
[ "77-7=70", "12/2=6", "70-6=64" ]
Current State: 64:[77, 7, 12, 2], Operations: [] Exploring Operation: 77-7=70, Resulting Numbers: [12, 2, 70] Generated Node #2: [12, 2, 70] from Operation: 77-7=70 Current State: 64:[12, 2, 70], Operations: ['77-7=70'] Exploring Operation: 12/2=6, Resulting Numbers: [70, 6] Generated Node #3: [70, 6] from Operation: 12/2=6 Current State: 64:[70, 6], Operations: ['77-7=70', '12/2=6'] Exploring Operation: 70-6=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
Current State: 64:[77, 7, 12, 2], Operations: [] Exploring Operation: 77-7=70, Resulting Numbers: [12, 2, 70] Generated Node #0,0: 64:[12, 2, 70] Operation: 77-7=70 Exploring Operation: 77-12=65, Resulting Numbers: [7, 2, 65] Generated Node #0,1: 64:[7, 2, 65] Operation: 77-12=65 Exploring Operation: 77/7=11, Resulting Numbers: [12, 2, 11] Generated Node #0,2: 64:[12, 2, 11] Operation: 77/7=11 Moving to Node #0,1 Current State: 64:[7, 2, 65], Operations: ['77-12=65'] Exploring Operation: 7+2=9, Resulting Numbers: [65, 9] Generated Node #0,1,0: 64:[65, 9] Operation: 7+2=9 Exploring Operation: 7-2=5, Resulting Numbers: [65, 5] Generated Node #0,1,1: 64:[65, 5] Operation: 7-2=5 Exploring Operation: 65-2=63, Resulting Numbers: [7, 63] Generated Node #0,1,2: 64:[7, 63] Operation: 65-2=63 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 64:[65, 9], Operations: ['77-12=65', '7+2=9'] Exploring Operation: 65*9=585, Resulting Numbers: [585] 585,64 unequal: No Solution Exploring Operation: 65-9=56, Resulting Numbers: [56] 56,64 unequal: No Solution Exploring Operation: 65+9=74, Resulting Numbers: [74] 74,64 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: 64:[65, 5], Operations: ['77-12=65', '7-2=5'] Exploring Operation: 65+5=70, Resulting Numbers: [70] 70,64 unequal: No Solution Exploring Operation: 65/5=13, Resulting Numbers: [13] 13,64 unequal: No Solution Exploring Operation: 65-5=60, Resulting Numbers: [60] 60,64 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: 64:[7, 63], Operations: ['77-12=65', '65-2=63'] Exploring Operation: 63/7=9, Resulting Numbers: [9] 9,64 unequal: No Solution Exploring Operation: 63-7=56, Resulting Numbers: [56] 56,64 unequal: No Solution Exploring Operation: 7+63=70, Resulting Numbers: [70] 70,64 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: 64:[12, 2, 11], Operations: ['77/7=11'] Exploring Operation: 12-11=1, Resulting Numbers: [2, 1] Generated Node #0,2,0: 64:[2, 1] Operation: 12-11=1 Exploring Operation: 12-2=10, Resulting Numbers: [11, 10] Generated Node #0,2,1: 64:[11, 10] Operation: 12-2=10 Exploring Operation: 12+2=14, Resulting Numbers: [11, 14] Generated Node #0,2,2: 64:[11, 14] Operation: 12+2=14 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 64:[2, 1], Operations: ['77/7=11', '12-11=1'] Exploring Operation: 2+1=3, Resulting Numbers: [3] 3,64 unequal: No Solution Exploring Operation: 2/1=2, Resulting Numbers: [2] 2,64 unequal: No Solution Exploring Operation: 2*1=2, Resulting Numbers: [2] 2,64 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: 64:[11, 10], Operations: ['77/7=11', '12-2=10'] Exploring Operation: 11+10=21, Resulting Numbers: [21] 21,64 unequal: No Solution Exploring Operation: 11*10=110, Resulting Numbers: [110] 110,64 unequal: No Solution Exploring Operation: 11-10=1, Resulting Numbers: [1] 1,64 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: 64:[11, 14], Operations: ['77/7=11', '12+2=14'] Exploring Operation: 11*14=154, Resulting Numbers: [154] 154,64 unequal: No Solution Exploring Operation: 14-11=3, Resulting Numbers: [3] 3,64 unequal: No Solution Exploring Operation: 11+14=25, Resulting Numbers: [25] 25,64 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: 64:[12, 2, 70], Operations: ['77-7=70'] Exploring Operation: 12+2=14, Resulting Numbers: [70, 14] Generated Node #0,0,0: 64:[70, 14] Operation: 12+2=14 Exploring Operation: 70-12=58, Resulting Numbers: [2, 58] Generated Node #0,0,1: 64:[2, 58] Operation: 70-12=58 Exploring Operation: 70/2=35, Resulting Numbers: [12, 35] Generated Node #0,0,2: 64:[12, 35] Operation: 70/2=35 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 64:[2, 58], Operations: ['77-7=70', '70-12=58'] Exploring Operation: 58-2=56, Resulting Numbers: [56] 56,64 unequal: No Solution Exploring Operation: 58/2=29, Resulting Numbers: [29] 29,64 unequal: No Solution Exploring Operation: 2+58=60, Resulting Numbers: [60] 60,64 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: 64:[12, 35], Operations: ['77-7=70', '70/2=35'] Exploring Operation: 12+35=47, Resulting Numbers: [47] 47,64 unequal: No Solution Exploring Operation: 35-12=23, Resulting Numbers: [23] 23,64 unequal: No Solution Exploring Operation: 12*35=420, Resulting Numbers: [420] 420,64 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: 64:[70, 14], Operations: ['77-7=70', '12+2=14'] Exploring Operation: 70/14=5, Resulting Numbers: [5] 5,64 unequal: No Solution Exploring Operation: 70-14=56, Resulting Numbers: [56] 56,64 unequal: No Solution Exploring Operation: 70+14=84, Resulting Numbers: [84] 84,64 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
[ 80, 3, 28, 11 ]
25
[ "80+28=108", "108/3=36", "36-11=25" ]
Current State: 25:[80, 3, 28, 11], Operations: [] Exploring Operation: 80+28=108, Resulting Numbers: [3, 11, 108] Generated Node #2: [3, 11, 108] from Operation: 80+28=108 Current State: 25:[3, 11, 108], Operations: ['80+28=108'] Exploring Operation: 108/3=36, Resulting Numbers: [11, 36] Generated Node #3: [11, 36] from Operation: 108/3=36 Current State: 25:[11, 36], Operations: ['80+28=108', '108/3=36'] Exploring Operation: 36-11=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
Current State: 25:[80, 3, 28, 11], Operations: [] Exploring Operation: 80-28=52, Resulting Numbers: [3, 11, 52] Generated Node #0,0: 25:[3, 11, 52] Operation: 80-28=52 Start Sub Search at level 1: Moving to Node #0,0 Current State: 25:[3, 11, 52], Operations: ['80-28=52'] Exploring Operation: 52-11=41, Resulting Numbers: [3, 41] Generated Node #0,0,0: 25:[3, 41] Operation: 52-11=41 Moving to Node #0,0,0 Current State: 25:[3, 41], Operations: ['80-28=52', '52-11=41'] Exploring Operation: 41-3=38, Resulting Numbers: [38] 38,25 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
[ 65, 10, 51, 4 ]
39
[ "65+51=116", "116/4=29", "10+29=39" ]
Current State: 39:[65, 10, 51, 4], Operations: [] Exploring Operation: 65+51=116, Resulting Numbers: [10, 4, 116] Generated Node #2: [10, 4, 116] from Operation: 65+51=116 Current State: 39:[10, 4, 116], Operations: ['65+51=116'] Exploring Operation: 116/4=29, Resulting Numbers: [10, 29] Generated Node #3: [10, 29] from Operation: 116/4=29 Current State: 39:[10, 29], Operations: ['65+51=116', '116/4=29'] Exploring Operation: 10+29=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
Current State: 39:[65, 10, 51, 4], Operations: [] Exploring Operation: 65-10=55, Resulting Numbers: [51, 4, 55] Generated Node #0,0: 39:[51, 4, 55] Operation: 65-10=55 Exploring Operation: 65-51=14, Resulting Numbers: [10, 4, 14] Generated Node #0,1: 39:[10, 4, 14] Operation: 65-51=14 Moving to Node #0,1 Current State: 39:[10, 4, 14], Operations: ['65-51=14'] Exploring Operation: 10+4=14, Resulting Numbers: [14, 14] Generated Node #0,1,0: 39:[14, 14] Operation: 10+4=14 Exploring Operation: 10*4=40, Resulting Numbers: [14, 40] Generated Node #0,1,1: 39:[14, 40] Operation: 10*4=40 Moving to Node #0,0 Current State: 39:[51, 4, 55], Operations: ['65-10=55'] Exploring Operation: 51-4=47, Resulting Numbers: [55, 47] Generated Node #0,0,0: 39:[55, 47] Operation: 51-4=47 Exploring Operation: 55-51=4, Resulting Numbers: [4, 4] Generated Node #0,0,1: 39:[4, 4] Operation: 55-51=4 Moving to Node #0,1,0 Current State: 39:[14, 14], Operations: ['65-51=14', '10+4=14'] Exploring Operation: 14-14=0, Resulting Numbers: [0] 0,39 unequal: No Solution Exploring Operation: 14/14=1, Resulting Numbers: [1] 1,39 unequal: No Solution Moving to Node #0,0,1 Current State: 39:[4, 4], Operations: ['65-10=55', '55-51=4'] Exploring Operation: 4*4=16, Resulting Numbers: [16] 16,39 unequal: No Solution Exploring Operation: 4/4=1, Resulting Numbers: [1] 1,39 unequal: No Solution Moving to Node #0,1,1 Current State: 39:[14, 40], Operations: ['65-51=14', '10*4=40'] Exploring Operation: 40-14=26, Resulting Numbers: [26] 26,39 unequal: No Solution Exploring Operation: 14+40=54, Resulting Numbers: [54] 54,39 unequal: No Solution Moving to Node #0,0,0 Current State: 39:[55, 47], Operations: ['65-10=55', '51-4=47'] Exploring Operation: 55-47=8, Resulting Numbers: [8] 8,39 unequal: No Solution Exploring Operation: 55+47=102, Resulting Numbers: [102] 102,39 unequal: No Solution No solution found.
0
hs_2
sum_heuristic
[ 44, 21, 48, 42 ]
29
[ "44-21=23", "48-42=6", "23+6=29" ]
Current State: 29:[44, 21, 48, 42], Operations: [] Exploring Operation: 44-21=23, Resulting Numbers: [48, 42, 23] Generated Node #2: [48, 42, 23] from Operation: 44-21=23 Current State: 29:[48, 42, 23], Operations: ['44-21=23'] Exploring Operation: 48-42=6, Resulting Numbers: [23, 6] Generated Node #3: [23, 6] from Operation: 48-42=6 Current State: 29:[23, 6], Operations: ['44-21=23', '48-42=6'] Exploring Operation: 23+6=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
Current State: 29:[44, 21, 48, 42], Operations: [] Exploring Operation: 44-21=23, Resulting Numbers: [48, 42, 23] Generated Node #0,0: 29:[48, 42, 23] Operation: 44-21=23 Exploring Operation: 42-21=21, Resulting Numbers: [44, 48, 21] Generated Node #0,1: 29:[44, 48, 21] Operation: 42-21=21 Exploring Operation: 48-21=27, Resulting Numbers: [44, 42, 27] Generated Node #0,2: 29:[44, 42, 27] Operation: 48-21=27 Exploring Operation: 48-44=4, Resulting Numbers: [21, 42, 4] Generated Node #0,3: 29:[21, 42, 4] Operation: 48-44=4 Moving to Node #0,2 Current State: 29:[44, 42, 27], Operations: ['48-21=27'] Exploring Operation: 44-42=2, Resulting Numbers: [27, 2] Generated Node #0,2,0: 29:[27, 2] Operation: 44-42=2 Exploring Operation: 44-27=17, Resulting Numbers: [42, 17] Generated Node #0,2,1: 29:[42, 17] Operation: 44-27=17 Exploring Operation: 42-27=15, Resulting Numbers: [44, 15] Generated Node #0,2,2: 29:[44, 15] Operation: 42-27=15 Exploring Operation: 44+27=71, Resulting Numbers: [42, 71] Generated Node #0,2,3: 29:[42, 71] Operation: 44+27=71 Moving to Node #0,0 Current State: 29:[48, 42, 23], Operations: ['44-21=23'] Exploring Operation: 48-23=25, Resulting Numbers: [42, 25] Generated Node #0,0,0: 29:[42, 25] Operation: 48-23=25 Exploring Operation: 42-23=19, Resulting Numbers: [48, 19] Generated Node #0,0,1: 29:[48, 19] Operation: 42-23=19 Exploring Operation: 48-42=6, Resulting Numbers: [23, 6] Generated Node #0,0,2: 29:[23, 6] Operation: 48-42=6 Exploring Operation: 48+23=71, Resulting Numbers: [42, 71] Generated Node #0,0,3: 29:[42, 71] Operation: 48+23=71 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 29:[42, 25], Operations: ['44-21=23', '48-23=25'] Exploring Operation: 42*25=1050, Resulting Numbers: [1050] 1050,29 unequal: No Solution Exploring Operation: 42+25=67, Resulting Numbers: [67] 67,29 unequal: No Solution Exploring Operation: 42-25=17, Resulting Numbers: [17] 17,29 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: 29:[48, 19], Operations: ['44-21=23', '42-23=19'] Exploring Operation: 48*19=912, Resulting Numbers: [912] 912,29 unequal: No Solution Exploring Operation: 48+19=67, Resulting Numbers: [67] 67,29 unequal: No Solution Exploring Operation: 48-19=29, Resulting Numbers: [29] 29,29 equal: Goal Reached Moving to Node #0 Current State: 29:[44, 21, 48, 42], Operations: [] Exploring Operation: 44-21=23, Resulting Numbers: [48, 42, 23] Generated Node #0,0: 29:[48, 42, 23] Operation: 44-21=23 Moving to Node #0,0 Current State: 29:[48, 42, 23], Operations: ['44-21=23'] Exploring Operation: 42-23=19, Resulting Numbers: [48, 19] Generated Node #0,0,1: 29:[48, 19] Operation: 42-23=19 Moving to Node #0,0,1 Current State: 29:[48, 19], Operations: ['44-21=23', '42-23=19'] Exploring Operation: 48-19=29, Resulting Numbers: [29] 29,29 equal: Goal Reached Exit Sub Search at level 1
0.980903
hs_4
sum_heuristic
[ 68, 10, 14, 42 ]
26
[ "68+10=78", "42/14=3", "78/3=26" ]
Current State: 26:[68, 10, 14, 42], Operations: [] Exploring Operation: 68+10=78, Resulting Numbers: [14, 42, 78] Generated Node #2: [14, 42, 78] from Operation: 68+10=78 Current State: 26:[14, 42, 78], Operations: ['68+10=78'] Exploring Operation: 42/14=3, Resulting Numbers: [78, 3] Generated Node #3: [78, 3] from Operation: 42/14=3 Current State: 26:[78, 3], Operations: ['68+10=78', '42/14=3'] Exploring Operation: 78/3=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
Current State: 26:[68, 10, 14, 42], Operations: [] Exploring Operation: 68-10=58, Resulting Numbers: [14, 42, 58] Generated Node #0,0: 26:[14, 42, 58] Operation: 68-10=58 Exploring Operation: 68-14=54, Resulting Numbers: [10, 42, 54] Generated Node #0,1: 26:[10, 42, 54] Operation: 68-14=54 Exploring Operation: 42/14=3, Resulting Numbers: [68, 10, 3] Generated Node #0,2: 26:[68, 10, 3] Operation: 42/14=3 Exploring Operation: 42-14=28, Resulting Numbers: [68, 10, 28] Generated Node #0,3: 26:[68, 10, 28] Operation: 42-14=28 Exploring Operation: 68-42=26, Resulting Numbers: [10, 14, 26] Generated Node #0,4: 26:[10, 14, 26] Operation: 68-42=26 Start Sub Search at level 1: Moving to Node #0,4 Current State: 26:[10, 14, 26], Operations: ['68-42=26'] Exploring Operation: 10+26=36, Resulting Numbers: [14, 36] Generated Node #0,4,0: 26:[14, 36] Operation: 10+26=36 Exploring Operation: 26-14=12, Resulting Numbers: [10, 12] Generated Node #0,4,1: 26:[10, 12] Operation: 26-14=12 Exploring Operation: 14-10=4, Resulting Numbers: [26, 4] Generated Node #0,4,2: 26:[26, 4] Operation: 14-10=4 Exploring Operation: 26-10=16, Resulting Numbers: [14, 16] Generated Node #0,4,3: 26:[14, 16] Operation: 26-10=16 Exploring Operation: 10+14=24, Resulting Numbers: [26, 24] Generated Node #0,4,4: 26:[26, 24] Operation: 10+14=24 Start Sub Search at level 2: Moving to Node #0,4,2 Current State: 26:[26, 4], Operations: ['68-42=26', '14-10=4'] Exploring Operation: 26-4=22, Resulting Numbers: [22] 22,26 unequal: No Solution Exploring Operation: 26+4=30, Resulting Numbers: [30] 30,26 unequal: No Solution Exploring Operation: 26*4=104, Resulting Numbers: [104] 104,26 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: 26:[26, 24], Operations: ['68-42=26', '10+14=24'] Exploring Operation: 26-24=2, Resulting Numbers: [2] 2,26 unequal: No Solution Exploring Operation: 26+24=50, Resulting Numbers: [50] 50,26 unequal: No Solution Exploring Operation: 26*24=624, Resulting Numbers: [624] 624,26 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 #0,4,1 Current State: 26:[10, 12], Operations: ['68-42=26', '26-14=12'] Exploring Operation: 10*12=120, Resulting Numbers: [120] 120,26 unequal: No Solution Exploring Operation: 12-10=2, Resulting Numbers: [2] 2,26 unequal: No Solution Exploring Operation: 10+12=22, Resulting Numbers: [22] 22,26 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: 26:[14, 16], Operations: ['68-42=26', '26-10=16'] Exploring Operation: 16-14=2, Resulting Numbers: [2] 2,26 unequal: No Solution Exploring Operation: 14+16=30, Resulting Numbers: [30] 30,26 unequal: No Solution Exploring Operation: 14*16=224, Resulting Numbers: [224] 224,26 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: 26:[14, 36], Operations: ['68-42=26', '10+26=36'] Exploring Operation: 14*36=504, Resulting Numbers: [504] 504,26 unequal: No Solution Exploring Operation: 14+36=50, Resulting Numbers: [50] 50,26 unequal: No Solution Exploring Operation: 36-14=22, Resulting Numbers: [22] 22,26 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: 26:[68, 10, 3], Operations: ['42/14=3'] Exploring Operation: 10+3=13, Resulting Numbers: [68, 13] Generated Node #0,2,0: 26:[68, 13] Operation: 10+3=13 Exploring Operation: 10-3=7, Resulting Numbers: [68, 7] Generated Node #0,2,1: 26:[68, 7] Operation: 10-3=7 Exploring Operation: 68-3=65, Resulting Numbers: [10, 65] Generated Node #0,2,2: 26:[10, 65] Operation: 68-3=65 Exploring Operation: 10*3=30, Resulting Numbers: [68, 30] Generated Node #0,2,3: 26:[68, 30] Operation: 10*3=30 Exploring Operation: 68-10=58, Resulting Numbers: [3, 58] Generated Node #0,2,4: 26:[3, 58] Operation: 68-10=58 Moving to Node #0,2,4 Current State: 26:[3, 58], Operations: ['42/14=3', '68-10=58'] Exploring Operation: 3*58=174, Resulting Numbers: [174] 174,26 unequal: No Solution Exploring Operation: 58-3=55, Resulting Numbers: [55] 55,26 unequal: No Solution Exploring Operation: 3+58=61, Resulting Numbers: [61] 61,26 unequal: No Solution Moving to Node #0,2,2 Current State: 26:[10, 65], Operations: ['42/14=3', '68-3=65'] Exploring Operation: 10*65=650, Resulting Numbers: [650] 650,26 unequal: No Solution Exploring Operation: 10+65=75, Resulting Numbers: [75] 75,26 unequal: No Solution Exploring Operation: 65-10=55, Resulting Numbers: [55] 55,26 unequal: No Solution Moving to Node #0,2,0 Current State: 26:[68, 13], Operations: ['42/14=3', '10+3=13'] Exploring Operation: 68*13=884, Resulting Numbers: [884] 884,26 unequal: No Solution Exploring Operation: 68-13=55, Resulting Numbers: [55] 55,26 unequal: No Solution Exploring Operation: 68+13=81, Resulting Numbers: [81] 81,26 unequal: No Solution Moving to Node #0,2,3 Current State: 26:[68, 30], Operations: ['42/14=3', '10*3=30'] Exploring Operation: 68*30=2040, Resulting Numbers: [2040] 2040,26 unequal: No Solution Exploring Operation: 68+30=98, Resulting Numbers: [98] 98,26 unequal: No Solution Exploring Operation: 68-30=38, Resulting Numbers: [38] 38,26 unequal: No Solution Moving to Node #0,2,1 Current State: 26:[68, 7], Operations: ['42/14=3', '10-3=7'] Exploring Operation: 68+7=75, Resulting Numbers: [75] 75,26 unequal: No Solution Exploring Operation: 68*7=476, Resulting Numbers: [476] 476,26 unequal: No Solution Exploring Operation: 68-7=61, Resulting Numbers: [61] 61,26 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: 26:[10, 42, 54], Operations: ['68-14=54'] Exploring Operation: 42-10=32, Resulting Numbers: [54, 32] Generated Node #0,1,0: 26:[54, 32] Operation: 42-10=32 Exploring Operation: 54-42=12, Resulting Numbers: [10, 12] Generated Node #0,1,1: 26:[10, 12] Operation: 54-42=12 Exploring Operation: 54-10=44, Resulting Numbers: [42, 44] Generated Node #0,1,2: 26:[42, 44] Operation: 54-10=44 Exploring Operation: 10+42=52, Resulting Numbers: [54, 52] Generated Node #0,1,3: 26:[54, 52] Operation: 10+42=52 Exploring Operation: 10+54=64, Resulting Numbers: [42, 64] Generated Node #0,1,4: 26:[42, 64] Operation: 10+54=64 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 26:[10, 12], Operations: ['68-14=54', '54-42=12'] Exploring Operation: 10*12=120, Resulting Numbers: [120] 120,26 unequal: No Solution Exploring Operation: 12-10=2, Resulting Numbers: [2] 2,26 unequal: No Solution Exploring Operation: 10+12=22, Resulting Numbers: [22] 22,26 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: 26:[54, 32], Operations: ['68-14=54', '42-10=32'] Exploring Operation: 54+32=86, Resulting Numbers: [86] 86,26 unequal: No Solution Exploring Operation: 54-32=22, Resulting Numbers: [22] 22,26 unequal: No Solution Exploring Operation: 54*32=1728, Resulting Numbers: [1728] 1728,26 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: 26:[42, 44], Operations: ['68-14=54', '54-10=44'] Exploring Operation: 42+44=86, Resulting Numbers: [86] 86,26 unequal: No Solution Exploring Operation: 44-42=2, Resulting Numbers: [2] 2,26 unequal: No Solution Exploring Operation: 42*44=1848, Resulting Numbers: [1848] 1848,26 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: 26:[54, 52], Operations: ['68-14=54', '10+42=52'] Exploring Operation: 54+52=106, Resulting Numbers: [106] 106,26 unequal: No Solution Exploring Operation: 54-52=2, Resulting Numbers: [2] 2,26 unequal: No Solution Exploring Operation: 54*52=2808, Resulting Numbers: [2808] 2808,26 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: 26:[42, 64], Operations: ['68-14=54', '10+54=64'] Exploring Operation: 64-42=22, Resulting Numbers: [22] 22,26 unequal: No Solution Exploring Operation: 42+64=106, Resulting Numbers: [106] 106,26 unequal: No Solution Exploring Operation: 42*64=2688, Resulting Numbers: [2688] 2688,26 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: 26:[68, 10, 28], Operations: ['42-14=28'] Exploring Operation: 68+10=78, Resulting Numbers: [28, 78] Generated Node #0,3,0: 26:[28, 78] Operation: 68+10=78 Exploring Operation: 68-10=58, Resulting Numbers: [28, 58] Generated Node #0,3,1: 26:[28, 58] Operation: 68-10=58 Exploring Operation: 28-10=18, Resulting Numbers: [68, 18] Generated Node #0,3,2: 26:[68, 18] Operation: 28-10=18 Exploring Operation: 10+28=38, Resulting Numbers: [68, 38] Generated Node #0,3,3: 26:[68, 38] Operation: 10+28=38 Exploring Operation: 68-28=40, Resulting Numbers: [10, 40] Generated Node #0,3,4: 26:[10, 40] Operation: 68-28=40 Start Sub Search at level 2: Moving to Node #0,3,4 Current State: 26:[10, 40], Operations: ['42-14=28', '68-28=40'] Exploring Operation: 10+40=50, Resulting Numbers: [50] 50,26 unequal: No Solution Exploring Operation: 40-10=30, Resulting Numbers: [30] 30,26 unequal: No Solution Exploring Operation: 40/10=4, Resulting Numbers: [4] 4,26 unequal: No Solution Exploring Operation: 10*40=400, Resulting Numbers: [400] 400,26 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: 26:[28, 58], Operations: ['42-14=28', '68-10=58'] Exploring Operation: 58-28=30, Resulting Numbers: [30] 30,26 unequal: No Solution Exploring Operation: 28*58=1624, Resulting Numbers: [1624] 1624,26 unequal: No Solution Exploring Operation: 28+58=86, Resulting Numbers: [86] 86,26 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: 26:[68, 18], Operations: ['42-14=28', '28-10=18'] Exploring Operation: 68+18=86, Resulting Numbers: [86] 86,26 unequal: No Solution Exploring Operation: 68-18=50, Resulting Numbers: [50] 50,26 unequal: No Solution Exploring Operation: 68*18=1224, Resulting Numbers: [1224] 1224,26 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: 26:[28, 78], Operations: ['42-14=28', '68+10=78'] Exploring Operation: 78-28=50, Resulting Numbers: [50] 50,26 unequal: No Solution Exploring Operation: 28*78=2184, Resulting Numbers: [2184] 2184,26 unequal: No Solution Exploring Operation: 28+78=106, Resulting Numbers: [106] 106,26 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: 26:[68, 38], Operations: ['42-14=28', '10+28=38'] Exploring Operation: 68*38=2584, Resulting Numbers: [2584] 2584,26 unequal: No Solution Exploring Operation: 68+38=106, Resulting Numbers: [106] 106,26 unequal: No Solution Exploring Operation: 68-38=30, Resulting Numbers: [30] 30,26 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: 26:[14, 42, 58], Operations: ['68-10=58'] Exploring Operation: 14+42=56, Resulting Numbers: [58, 56] Generated Node #0,0,0: 26:[58, 56] Operation: 14+42=56 Exploring Operation: 58-42=16, Resulting Numbers: [14, 16] Generated Node #0,0,1: 26:[14, 16] Operation: 58-42=16 Exploring Operation: 42-14=28, Resulting Numbers: [58, 28] Generated Node #0,0,2: 26:[58, 28] Operation: 42-14=28 Exploring Operation: 58-14=44, Resulting Numbers: [42, 44] Generated Node #0,0,3: 26:[42, 44] Operation: 58-14=44 Exploring Operation: 42/14=3, Resulting Numbers: [58, 3] Generated Node #0,0,4: 26:[58, 3] Operation: 42/14=3 Moving to Node #0,0,1 Current State: 26:[14, 16], Operations: ['68-10=58', '58-42=16'] Exploring Operation: 14*16=224, Resulting Numbers: [224] 224,26 unequal: No Solution Exploring Operation: 14+16=30, Resulting Numbers: [30] 30,26 unequal: No Solution Exploring Operation: 16-14=2, Resulting Numbers: [2] 2,26 unequal: No Solution Moving to Node #0,0,4 Current State: 26:[58, 3], Operations: ['68-10=58', '42/14=3'] Exploring Operation: 58*3=174, Resulting Numbers: [174] 174,26 unequal: No Solution Exploring Operation: 58+3=61, Resulting Numbers: [61] 61,26 unequal: No Solution Exploring Operation: 58-3=55, Resulting Numbers: [55] 55,26 unequal: No Solution Moving to Node #0,0,2 Current State: 26:[58, 28], Operations: ['68-10=58', '42-14=28'] Exploring Operation: 58-28=30, Resulting Numbers: [30] 30,26 unequal: No Solution Exploring Operation: 58+28=86, Resulting Numbers: [86] 86,26 unequal: No Solution Exploring Operation: 58*28=1624, Resulting Numbers: [1624] 1624,26 unequal: No Solution Moving to Node #0,0,3 Current State: 26:[42, 44], Operations: ['68-10=58', '58-14=44'] Exploring Operation: 42*44=1848, Resulting Numbers: [1848] 1848,26 unequal: No Solution Exploring Operation: 44-42=2, Resulting Numbers: [2] 2,26 unequal: No Solution Exploring Operation: 42+44=86, Resulting Numbers: [86] 86,26 unequal: No Solution Moving to Node #0,0,0 Current State: 26:[58, 56], Operations: ['68-10=58', '14+42=56'] Exploring Operation: 58+56=114, Resulting Numbers: [114] 114,26 unequal: No Solution Exploring Operation: 58-56=2, Resulting Numbers: [2] 2,26 unequal: No Solution Exploring Operation: 58*56=3248, Resulting Numbers: [3248] 3248,26 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