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
[ 20, 58, 98, 5 ]
39
[ "20/5=4", "58+98=156", "156/4=39" ]
Current State: 39:[20, 58, 98, 5], Operations: [] Exploring Operation: 20/5=4, Resulting Numbers: [58, 98, 4] Generated Node #2: [58, 98, 4] from Operation: 20/5=4 Current State: 39:[58, 98, 4], Operations: ['20/5=4'] Exploring Operation: 58+98=156, Resulting Numbers: [4, 156] Generated Node #3: [4, 156] from Operation: 58+98=156 Current State: 39:[4, 156], Operations: ['20/5=4', '58+98=156'] Exploring Operation: 156/4=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
Current State: 39:[20, 58, 98, 5], Operations: [] Exploring Operation: 98-20=78, Resulting Numbers: [58, 5, 78] Generated Node #0,0: 39:[58, 5, 78] Operation: 98-20=78 Exploring Operation: 20/5=4, Resulting Numbers: [58, 98, 4] Generated Node #0,1: 39:[58, 98, 4] Operation: 20/5=4 Exploring Operation: 58-20=38, Resulting Numbers: [98, 5, 38] Generated Node #0,2: 39:[98, 5, 38] Operation: 58-20=38 Exploring Operation: 98-58=40, Resulting Numbers: [20, 5, 40] Generated Node #0,3: 39:[20, 5, 40] Operation: 98-58=40 Moving to Node #0,3 Current State: 39:[20, 5, 40], Operations: ['98-58=40'] Exploring Operation: 40/20=2, Resulting Numbers: [5, 2] Generated Node #0,3,0: 39:[5, 2] Operation: 40/20=2 Exploring Operation: 20/5=4, Resulting Numbers: [40, 4] Generated Node #0,3,1: 39:[40, 4] Operation: 20/5=4 Exploring Operation: 20-5=15, Resulting Numbers: [40, 15] Generated Node #0,3,2: 39:[40, 15] Operation: 20-5=15 Exploring Operation: 40-20=20, Resulting Numbers: [5, 20] Generated Node #0,3,3: 39:[5, 20] Operation: 40-20=20 Moving to Node #0,0 Current State: 39:[58, 5, 78], Operations: ['98-20=78'] Exploring Operation: 78-5=73, Resulting Numbers: [58, 73] Generated Node #0,0,0: 39:[58, 73] Operation: 78-5=73 Exploring Operation: 58-5=53, Resulting Numbers: [78, 53] Generated Node #0,0,1: 39:[78, 53] Operation: 58-5=53 Exploring Operation: 58+5=63, Resulting Numbers: [78, 63] Generated Node #0,0,2: 39:[78, 63] Operation: 58+5=63 Exploring Operation: 78-58=20, Resulting Numbers: [5, 20] Generated Node #0,0,3: 39:[5, 20] Operation: 78-58=20 Moving to Node #0,2 Current State: 39:[98, 5, 38], Operations: ['58-20=38'] Exploring Operation: 98-38=60, Resulting Numbers: [5, 60] Generated Node #0,2,0: 39:[5, 60] Operation: 98-38=60 Exploring Operation: 5+38=43, Resulting Numbers: [98, 43] Generated Node #0,2,1: 39:[98, 43] Operation: 5+38=43 Exploring Operation: 98+5=103, Resulting Numbers: [38, 103] Generated Node #0,2,2: 39:[38, 103] Operation: 98+5=103 Exploring Operation: 98-5=93, Resulting Numbers: [38, 93] Generated Node #0,2,3: 39:[38, 93] Operation: 98-5=93 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 39:[5, 60], Operations: ['58-20=38', '98-38=60'] Exploring Operation: 60/5=12, Resulting Numbers: [12] 12,39 unequal: No Solution Exploring Operation: 5+60=65, Resulting Numbers: [65] 65,39 unequal: No Solution Exploring Operation: 5*60=300, Resulting Numbers: [300] 300,39 unequal: No Solution Exploring Operation: 60-5=55, Resulting Numbers: [55] 55,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 39:[38, 93], Operations: ['58-20=38', '98-5=93'] Exploring Operation: 38*93=3534, Resulting Numbers: [3534] 3534,39 unequal: No Solution Exploring Operation: 93-38=55, Resulting Numbers: [55] 55,39 unequal: No Solution Exploring Operation: 38+93=131, Resulting Numbers: [131] 131,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 39:[98, 43], Operations: ['58-20=38', '5+38=43'] Exploring Operation: 98*43=4214, Resulting Numbers: [4214] 4214,39 unequal: No Solution Exploring Operation: 98+43=141, Resulting Numbers: [141] 141,39 unequal: No Solution Exploring Operation: 98-43=55, Resulting Numbers: [55] 55,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 39:[38, 103], Operations: ['58-20=38', '98+5=103'] Exploring Operation: 38+103=141, Resulting Numbers: [141] 141,39 unequal: No Solution Exploring Operation: 103-38=65, Resulting Numbers: [65] 65,39 unequal: No Solution Exploring Operation: 38*103=3914, Resulting Numbers: [3914] 3914,39 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: 39:[58, 98, 4], Operations: ['20/5=4'] Exploring Operation: 98-58=40, Resulting Numbers: [4, 40] Generated Node #0,1,0: 39:[4, 40] Operation: 98-58=40 Exploring Operation: 98-4=94, Resulting Numbers: [58, 94] Generated Node #0,1,1: 39:[58, 94] Operation: 98-4=94 Exploring Operation: 58-4=54, Resulting Numbers: [98, 54] Generated Node #0,1,2: 39:[98, 54] Operation: 58-4=54 Exploring Operation: 58+4=62, Resulting Numbers: [98, 62] Generated Node #0,1,3: 39:[98, 62] Operation: 58+4=62 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 39:[4, 40], Operations: ['20/5=4', '98-58=40'] Exploring Operation: 40/4=10, Resulting Numbers: [10] 10,39 unequal: No Solution Exploring Operation: 4+40=44, Resulting Numbers: [44] 44,39 unequal: No Solution Exploring Operation: 4*40=160, Resulting Numbers: [160] 160,39 unequal: No Solution Exploring Operation: 40-4=36, Resulting Numbers: [36] 36,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 39:[58, 94], Operations: ['20/5=4', '98-4=94'] Exploring Operation: 94-58=36, Resulting Numbers: [36] 36,39 unequal: No Solution Exploring Operation: 58*94=5452, Resulting Numbers: [5452] 5452,39 unequal: No Solution Exploring Operation: 58+94=152, Resulting Numbers: [152] 152,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 39:[98, 54], Operations: ['20/5=4', '58-4=54'] Exploring Operation: 98-54=44, Resulting Numbers: [44] 44,39 unequal: No Solution Exploring Operation: 98*54=5292, Resulting Numbers: [5292] 5292,39 unequal: No Solution Exploring Operation: 98+54=152, Resulting Numbers: [152] 152,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 39:[98, 62], Operations: ['20/5=4', '58+4=62'] Exploring Operation: 98*62=6076, Resulting Numbers: [6076] 6076,39 unequal: No Solution Exploring Operation: 98+62=160, Resulting Numbers: [160] 160,39 unequal: No Solution Exploring Operation: 98-62=36, Resulting Numbers: [36] 36,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3,1 Current State: 39:[40, 4], Operations: ['98-58=40', '20/5=4'] Exploring Operation: 40-4=36, Resulting Numbers: [36] 36,39 unequal: No Solution Exploring Operation: 40*4=160, Resulting Numbers: [160] 160,39 unequal: No Solution Exploring Operation: 40+4=44, Resulting Numbers: [44] 44,39 unequal: No Solution Exploring Operation: 40/4=10, Resulting Numbers: [10] 10,39 unequal: No Solution Moving to Node #0,3,2 Current State: 39:[40, 15], Operations: ['98-58=40', '20-5=15'] Exploring Operation: 40+15=55, Resulting Numbers: [55] 55,39 unequal: No Solution Exploring Operation: 40-15=25, Resulting Numbers: [25] 25,39 unequal: No Solution Exploring Operation: 40*15=600, Resulting Numbers: [600] 600,39 unequal: No Solution Moving to Node #0,3,0 Current State: 39:[5, 2], Operations: ['98-58=40', '40/20=2'] Exploring Operation: 5+2=7, Resulting Numbers: [7] 7,39 unequal: No Solution Exploring Operation: 5*2=10, Resulting Numbers: [10] 10,39 unequal: No Solution Exploring Operation: 5-2=3, Resulting Numbers: [3] 3,39 unequal: No Solution Moving to Node #0,0,3 Current State: 39:[5, 20], Operations: ['98-20=78', '78-58=20'] Exploring Operation: 20/5=4, Resulting Numbers: [4] 4,39 unequal: No Solution Exploring Operation: 5+20=25, Resulting Numbers: [25] 25,39 unequal: No Solution Exploring Operation: 20-5=15, Resulting Numbers: [15] 15,39 unequal: No Solution Exploring Operation: 5*20=100, Resulting Numbers: [100] 100,39 unequal: No Solution Moving to Node #0,3,3 Current State: 39:[5, 20], Operations: ['98-58=40', '40-20=20'] Exploring Operation: 20/5=4, Resulting Numbers: [4] 4,39 unequal: No Solution Exploring Operation: 5*20=100, Resulting Numbers: [100] 100,39 unequal: No Solution Exploring Operation: 5+20=25, Resulting Numbers: [25] 25,39 unequal: No Solution Exploring Operation: 20-5=15, Resulting Numbers: [15] 15,39 unequal: No Solution Moving to Node #0,0,1 Current State: 39:[78, 53], Operations: ['98-20=78', '58-5=53'] Exploring Operation: 78+53=131, Resulting Numbers: [131] 131,39 unequal: No Solution Exploring Operation: 78*53=4134, Resulting Numbers: [4134] 4134,39 unequal: No Solution Exploring Operation: 78-53=25, Resulting Numbers: [25] 25,39 unequal: No Solution Moving to Node #0,0,0 Current State: 39:[58, 73], Operations: ['98-20=78', '78-5=73'] Exploring Operation: 73-58=15, Resulting Numbers: [15] 15,39 unequal: No Solution Exploring Operation: 58+73=131, Resulting Numbers: [131] 131,39 unequal: No Solution Exploring Operation: 58*73=4234, Resulting Numbers: [4234] 4234,39 unequal: No Solution Moving to Node #0,0,2 Current State: 39:[78, 63], Operations: ['98-20=78', '58+5=63'] Exploring Operation: 78*63=4914, Resulting Numbers: [4914] 4914,39 unequal: No Solution Exploring Operation: 78-63=15, Resulting Numbers: [15] 15,39 unequal: No Solution Exploring Operation: 78+63=141, Resulting Numbers: [141] 141,39 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 27, 8, 73, 16 ]
92
[ "27+8=35", "73-16=57", "35+57=92" ]
Current State: 92:[27, 8, 73, 16], Operations: [] Exploring Operation: 27+8=35, Resulting Numbers: [73, 16, 35] Generated Node #2: [73, 16, 35] from Operation: 27+8=35 Current State: 92:[73, 16, 35], Operations: ['27+8=35'] Exploring Operation: 73-16=57, Resulting Numbers: [35, 57] Generated Node #3: [35, 57] from Operation: 73-16=57 Current State: 92:[35, 57], Operations: ['27+8=35', '73-16=57'] Exploring Operation: 35+57=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
Current State: 92:[27, 8, 73, 16], Operations: [] Exploring Operation: 27+73=100, Resulting Numbers: [8, 16, 100] Generated Node #0,0: 92:[8, 16, 100] Operation: 27+73=100 Exploring Operation: 73-16=57, Resulting Numbers: [27, 8, 57] Generated Node #0,1: 92:[27, 8, 57] Operation: 73-16=57 Exploring Operation: 73-27=46, Resulting Numbers: [8, 16, 46] Generated Node #0,2: 92:[8, 16, 46] Operation: 73-27=46 Exploring Operation: 73+16=89, Resulting Numbers: [27, 8, 89] Generated Node #0,3: 92:[27, 8, 89] Operation: 73+16=89 Exploring Operation: 8+73=81, Resulting Numbers: [27, 16, 81] Generated Node #0,4: 92:[27, 16, 81] Operation: 8+73=81 Moving to Node #0,2 Current State: 92:[8, 16, 46], Operations: ['73-27=46'] Exploring Operation: 8+46=54, Resulting Numbers: [16, 54] Generated Node #0,2,0: 92:[16, 54] Operation: 8+46=54 Exploring Operation: 16-8=8, Resulting Numbers: [46, 8] Generated Node #0,2,1: 92:[46, 8] Operation: 16-8=8 Exploring Operation: 46-16=30, Resulting Numbers: [8, 30] Generated Node #0,2,2: 92:[8, 30] Operation: 46-16=30 Exploring Operation: 8+16=24, Resulting Numbers: [46, 24] Generated Node #0,2,3: 92:[46, 24] Operation: 8+16=24 Exploring Operation: 16/8=2, Resulting Numbers: [46, 2] Generated Node #0,2,4: 92:[46, 2] Operation: 16/8=2 Moving to Node #0,3 Current State: 92:[27, 8, 89], Operations: ['73+16=89'] Exploring Operation: 27-8=19, Resulting Numbers: [89, 19] Generated Node #0,3,0: 92:[89, 19] Operation: 27-8=19 Exploring Operation: 8+89=97, Resulting Numbers: [27, 97] Generated Node #0,3,1: 92:[27, 97] Operation: 8+89=97 Exploring Operation: 89-27=62, Resulting Numbers: [8, 62] Generated Node #0,3,2: 92:[8, 62] Operation: 89-27=62 Exploring Operation: 27+8=35, Resulting Numbers: [89, 35] Generated Node #0,3,3: 92:[89, 35] Operation: 27+8=35 Exploring Operation: 89-8=81, Resulting Numbers: [27, 81] Generated Node #0,3,4: 92:[27, 81] Operation: 89-8=81 Moving to Node #0,0 Current State: 92:[8, 16, 100], Operations: ['27+73=100'] Exploring Operation: 16-8=8, Resulting Numbers: [100, 8] Generated Node #0,0,0: 92:[100, 8] Operation: 16-8=8 Exploring Operation: 100-16=84, Resulting Numbers: [8, 84] Generated Node #0,0,1: 92:[8, 84] Operation: 100-16=84 Exploring Operation: 8+16=24, Resulting Numbers: [100, 24] Generated Node #0,0,2: 92:[100, 24] Operation: 8+16=24 Exploring Operation: 100-8=92, Resulting Numbers: [16, 92] Generated Node #0,0,3: 92:[16, 92] Operation: 100-8=92 Exploring Operation: 16/8=2, Resulting Numbers: [100, 2] Generated Node #0,0,4: 92:[100, 2] Operation: 16/8=2 Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 92:[16, 92], Operations: ['27+73=100', '100-8=92'] Exploring Operation: 16*92=1472, Resulting Numbers: [1472] 1472,92 unequal: No Solution Exploring Operation: 16+92=108, Resulting Numbers: [108] 108,92 unequal: No Solution Exploring Operation: 92-16=76, Resulting Numbers: [76] 76,92 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 92:[100, 2], Operations: ['27+73=100', '16/8=2'] Exploring Operation: 100+2=102, Resulting Numbers: [102] 102,92 unequal: No Solution Exploring Operation: 100-2=98, Resulting Numbers: [98] 98,92 unequal: No Solution Exploring Operation: 100/2=50, Resulting Numbers: [50] 50,92 unequal: No Solution Exploring Operation: 100*2=200, Resulting Numbers: [200] 200,92 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 92:[100, 24], Operations: ['27+73=100', '8+16=24'] Exploring Operation: 100+24=124, Resulting Numbers: [124] 124,92 unequal: No Solution Exploring Operation: 100-24=76, Resulting Numbers: [76] 76,92 unequal: No Solution Exploring Operation: 100*24=2400, Resulting Numbers: [2400] 2400,92 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 92:[100, 8], Operations: ['27+73=100', '16-8=8'] Exploring Operation: 100+8=108, Resulting Numbers: [108] 108,92 unequal: No Solution Exploring Operation: 100-8=92, Resulting Numbers: [92] 92,92 equal: Goal Reached Moving to Node #0 Current State: 92:[27, 8, 73, 16], Operations: [] Exploring Operation: 27+73=100, Resulting Numbers: [8, 16, 100] Generated Node #0,0: 92:[8, 16, 100] Operation: 27+73=100 Moving to Node #0,0 Current State: 92:[8, 16, 100], Operations: ['27+73=100'] Exploring Operation: 16-8=8, Resulting Numbers: [100, 8] Generated Node #0,0,0: 92:[100, 8] Operation: 16-8=8 Moving to Node #0,0,0 Current State: 92:[100, 8], Operations: ['27+73=100', '16-8=8'] Exploring Operation: 100-8=92, Resulting Numbers: [92] 92,92 equal: Goal Reached Exit Sub Search at level 1
0.96875
hs_5
mult_heuristic
[ 62, 37, 36, 76 ]
87
[ "62-37=25", "36+76=112", "112-25=87" ]
Current State: 87:[62, 37, 36, 76], Operations: [] Exploring Operation: 62-37=25, Resulting Numbers: [36, 76, 25] Generated Node #2: [36, 76, 25] from Operation: 62-37=25 Current State: 87:[36, 76, 25], Operations: ['62-37=25'] Exploring Operation: 36+76=112, Resulting Numbers: [25, 112] Generated Node #3: [25, 112] from Operation: 36+76=112 Current State: 87:[25, 112], Operations: ['62-37=25', '36+76=112'] Exploring Operation: 112-25=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
Current State: 87:[62, 37, 36, 76], Operations: [] Exploring Operation: 62-36=26, Resulting Numbers: [37, 76, 26] Generated Node #0,0: 87:[37, 76, 26] Operation: 62-36=26 Exploring Operation: 62-37=25, Resulting Numbers: [36, 76, 25] Generated Node #0,1: 87:[36, 76, 25] Operation: 62-37=25 Exploring Operation: 76-62=14, Resulting Numbers: [37, 36, 14] Generated Node #0,2: 87:[37, 36, 14] Operation: 76-62=14 Moving to Node #0,0 Current State: 87:[37, 76, 26], Operations: ['62-36=26'] Exploring Operation: 76-37=39, Resulting Numbers: [26, 39] Generated Node #0,0,0: 87:[26, 39] Operation: 76-37=39 Exploring Operation: 76+26=102, Resulting Numbers: [37, 102] Generated Node #0,0,1: 87:[37, 102] Operation: 76+26=102 Exploring Operation: 37-26=11, Resulting Numbers: [76, 11] Generated Node #0,0,2: 87:[76, 11] Operation: 37-26=11 Moving to Node #0,1 Current State: 87:[36, 76, 25], Operations: ['62-37=25'] Exploring Operation: 76-36=40, Resulting Numbers: [25, 40] Generated Node #0,1,0: 87:[25, 40] Operation: 76-36=40 Exploring Operation: 36-25=11, Resulting Numbers: [76, 11] Generated Node #0,1,1: 87:[76, 11] Operation: 36-25=11 Exploring Operation: 76+25=101, Resulting Numbers: [36, 101] Generated Node #0,1,2: 87:[36, 101] Operation: 76+25=101 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 87:[25, 40], Operations: ['62-37=25', '76-36=40'] Exploring Operation: 25*40=1000, Resulting Numbers: [1000] 1000,87 unequal: No Solution Exploring Operation: 25+40=65, Resulting Numbers: [65] 65,87 unequal: No Solution Exploring Operation: 40-25=15, Resulting Numbers: [15] 15,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 87:[76, 11], Operations: ['62-37=25', '36-25=11'] Exploring Operation: 76-11=65, Resulting Numbers: [65] 65,87 unequal: No Solution Exploring Operation: 76*11=836, Resulting Numbers: [836] 836,87 unequal: No Solution Exploring Operation: 76+11=87, Resulting Numbers: [87] 87,87 equal: Goal Reached Moving to Node #0 Current State: 87:[62, 37, 36, 76], Operations: [] Exploring Operation: 62-37=25, Resulting Numbers: [36, 76, 25] Generated Node #0,1: 87:[36, 76, 25] Operation: 62-37=25 Moving to Node #0,1 Current State: 87:[36, 76, 25], Operations: ['62-37=25'] Exploring Operation: 36-25=11, Resulting Numbers: [76, 11] Generated Node #0,1,1: 87:[76, 11] Operation: 36-25=11 Moving to Node #0,1,1 Current State: 87:[76, 11], Operations: ['62-37=25', '36-25=11'] Exploring Operation: 76+11=87, Resulting Numbers: [87] 87,87 equal: Goal Reached Exit Sub Search at level 1
0.983507
hs_3
mult_heuristic
[ 4, 87, 80, 6 ]
31
[ "4*6=24", "87-80=7", "24+7=31" ]
Current State: 31:[4, 87, 80, 6], Operations: [] Exploring Operation: 4*6=24, Resulting Numbers: [87, 80, 24] Generated Node #2: [87, 80, 24] from Operation: 4*6=24 Current State: 31:[87, 80, 24], Operations: ['4*6=24'] Exploring Operation: 87-80=7, Resulting Numbers: [24, 7] Generated Node #3: [24, 7] from Operation: 87-80=7 Current State: 31:[24, 7], Operations: ['4*6=24', '87-80=7'] Exploring Operation: 24+7=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
Current State: 31:[4, 87, 80, 6], Operations: [] Exploring Operation: 87-80=7, Resulting Numbers: [4, 6, 7] Generated Node #0,0: 31:[4, 6, 7] Operation: 87-80=7 Start Sub Search at level 1: Moving to Node #0,0 Current State: 31:[4, 6, 7], Operations: ['87-80=7'] Exploring Operation: 4*7=28, Resulting Numbers: [6, 28] Generated Node #0,0,0: 31:[6, 28] Operation: 4*7=28 Moving to Node #0,0,0 Current State: 31:[6, 28], Operations: ['87-80=7', '4*7=28'] Exploring Operation: 6+28=34, Resulting Numbers: [34] 34,31 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
mult_heuristic
[ 45, 2, 29, 9 ]
48
[ "45/9=5", "29-5=24", "2*24=48" ]
Current State: 48:[45, 2, 29, 9], Operations: [] Exploring Operation: 45/9=5, Resulting Numbers: [2, 29, 5] Generated Node #2: [2, 29, 5] from Operation: 45/9=5 Current State: 48:[2, 29, 5], Operations: ['45/9=5'] Exploring Operation: 29-5=24, Resulting Numbers: [2, 24] Generated Node #3: [2, 24] from Operation: 29-5=24 Current State: 48:[2, 24], Operations: ['45/9=5', '29-5=24'] Exploring Operation: 2*24=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
Current State: 48:[45, 2, 29, 9], Operations: [] Exploring Operation: 45+2=47, Resulting Numbers: [29, 9, 47] Generated Node #0,0: 48:[29, 9, 47] Operation: 45+2=47 Exploring Operation: 29-2=27, Resulting Numbers: [45, 9, 27] Generated Node #0,1: 48:[45, 9, 27] Operation: 29-2=27 Exploring Operation: 45/9=5, Resulting Numbers: [2, 29, 5] Generated Node #0,2: 48:[2, 29, 5] Operation: 45/9=5 Exploring Operation: 29-9=20, Resulting Numbers: [45, 2, 20] Generated Node #0,3: 48:[45, 2, 20] Operation: 29-9=20 Exploring Operation: 45-29=16, Resulting Numbers: [2, 9, 16] Generated Node #0,4: 48:[2, 9, 16] Operation: 45-29=16 Start Sub Search at level 1: Moving to Node #0,4 Current State: 48:[2, 9, 16], Operations: ['45-29=16'] Exploring Operation: 9+16=25, Resulting Numbers: [2, 25] Generated Node #0,4,0: 48:[2, 25] Operation: 9+16=25 Exploring Operation: 16-9=7, Resulting Numbers: [2, 7] Generated Node #0,4,1: 48:[2, 7] Operation: 16-9=7 Exploring Operation: 9-2=7, Resulting Numbers: [16, 7] Generated Node #0,4,2: 48:[16, 7] Operation: 9-2=7 Exploring Operation: 16/2=8, Resulting Numbers: [9, 8] Generated Node #0,4,3: 48:[9, 8] Operation: 16/2=8 Exploring Operation: 2+9=11, Resulting Numbers: [16, 11] Generated Node #0,4,4: 48:[16, 11] Operation: 2+9=11 Start Sub Search at level 2: Moving to Node #0,4,0 Current State: 48:[2, 25], Operations: ['45-29=16', '9+16=25'] Exploring Operation: 2*25=50, Resulting Numbers: [50] 50,48 unequal: No Solution Exploring Operation: 2+25=27, Resulting Numbers: [27] 27,48 unequal: No Solution Exploring Operation: 25-2=23, Resulting Numbers: [23] 23,48 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: 48:[2, 7], Operations: ['45-29=16', '16-9=7'] Exploring Operation: 2+7=9, Resulting Numbers: [9] 9,48 unequal: No Solution Exploring Operation: 7-2=5, Resulting Numbers: [5] 5,48 unequal: No Solution Exploring Operation: 2*7=14, Resulting Numbers: [14] 14,48 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: 48:[16, 7], Operations: ['45-29=16', '9-2=7'] Exploring Operation: 16*7=112, Resulting Numbers: [112] 112,48 unequal: No Solution Exploring Operation: 16+7=23, Resulting Numbers: [23] 23,48 unequal: No Solution Exploring Operation: 16-7=9, Resulting Numbers: [9] 9,48 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: 48:[9, 8], Operations: ['45-29=16', '16/2=8'] Exploring Operation: 9*8=72, Resulting Numbers: [72] 72,48 unequal: No Solution Exploring Operation: 9-8=1, Resulting Numbers: [1] 1,48 unequal: No Solution Exploring Operation: 9+8=17, Resulting Numbers: [17] 17,48 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: 48:[16, 11], Operations: ['45-29=16', '2+9=11'] Exploring Operation: 16+11=27, Resulting Numbers: [27] 27,48 unequal: No Solution Exploring Operation: 16-11=5, Resulting Numbers: [5] 5,48 unequal: No Solution Exploring Operation: 16*11=176, Resulting Numbers: [176] 176,48 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: 48:[2, 29, 5], Operations: ['45/9=5'] Exploring Operation: 29-5=24, Resulting Numbers: [2, 24] Generated Node #0,2,0: 48:[2, 24] Operation: 29-5=24 Exploring Operation: 2+5=7, Resulting Numbers: [29, 7] Generated Node #0,2,1: 48:[29, 7] Operation: 2+5=7 Exploring Operation: 29-2=27, Resulting Numbers: [5, 27] Generated Node #0,2,2: 48:[5, 27] Operation: 29-2=27 Exploring Operation: 2*5=10, Resulting Numbers: [29, 10] Generated Node #0,2,3: 48:[29, 10] Operation: 2*5=10 Exploring Operation: 5-2=3, Resulting Numbers: [29, 3] Generated Node #0,2,4: 48:[29, 3] Operation: 5-2=3 Moving to Node #0,2,0 Current State: 48:[2, 24], Operations: ['45/9=5', '29-5=24'] Exploring Operation: 2*24=48, Resulting Numbers: [48] 48,48 equal: Goal Reached Moving to Node #0 Current State: 48:[45, 2, 29, 9], Operations: [] Exploring Operation: 45/9=5, Resulting Numbers: [2, 29, 5] Generated Node #0,2: 48:[2, 29, 5] Operation: 45/9=5 Moving to Node #0,2 Current State: 48:[2, 29, 5], Operations: ['45/9=5'] Exploring Operation: 29-5=24, Resulting Numbers: [2, 24] Generated Node #0,2,0: 48:[2, 24] Operation: 29-5=24 Moving to Node #0,2,0 Current State: 48:[2, 24], Operations: ['45/9=5', '29-5=24'] Exploring Operation: 2*24=48, Resulting Numbers: [48] 48,48 equal: Goal Reached Exit Sub Search at level 1
0.969618
hs_5
mult_heuristic
[ 83, 82, 61, 10 ]
51
[ "83-82=1", "61-10=51", "1*51=51" ]
Current State: 51:[83, 82, 61, 10], Operations: [] Exploring Operation: 83-82=1, Resulting Numbers: [61, 10, 1] Generated Node #2: [61, 10, 1] from Operation: 83-82=1 Current State: 51:[61, 10, 1], Operations: ['83-82=1'] Exploring Operation: 61-10=51, Resulting Numbers: [1, 51] Generated Node #3: [1, 51] from Operation: 61-10=51 Current State: 51:[1, 51], Operations: ['83-82=1', '61-10=51'] Exploring Operation: 1*51=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
Current State: 51:[83, 82, 61, 10], Operations: [] Exploring Operation: 83-61=22, Resulting Numbers: [82, 10, 22] Generated Node #0,0: 51:[82, 10, 22] Operation: 83-61=22 Exploring Operation: 82-61=21, Resulting Numbers: [83, 10, 21] Generated Node #0,1: 51:[83, 10, 21] Operation: 82-61=21 Exploring Operation: 82-10=72, Resulting Numbers: [83, 61, 72] Generated Node #0,2: 51:[83, 61, 72] Operation: 82-10=72 Exploring Operation: 83-10=73, Resulting Numbers: [82, 61, 73] Generated Node #0,3: 51:[82, 61, 73] Operation: 83-10=73 Exploring Operation: 83-82=1, Resulting Numbers: [61, 10, 1] Generated Node #0,4: 51:[61, 10, 1] Operation: 83-82=1 Moving to Node #0,4 Current State: 51:[61, 10, 1], Operations: ['83-82=1'] Exploring Operation: 61*1=61, Resulting Numbers: [10, 61] Generated Node #0,4,0: 51:[10, 61] Operation: 61*1=61 Exploring Operation: 61-10=51, Resulting Numbers: [1, 51] Generated Node #0,4,1: 51:[1, 51] Operation: 61-10=51 Exploring Operation: 10+1=11, Resulting Numbers: [61, 11] Generated Node #0,4,2: 51:[61, 11] Operation: 10+1=11 Exploring Operation: 61-1=60, Resulting Numbers: [10, 60] Generated Node #0,4,3: 51:[10, 60] Operation: 61-1=60 Exploring Operation: 10-1=9, Resulting Numbers: [61, 9] Generated Node #0,4,4: 51:[61, 9] Operation: 10-1=9 Moving to Node #0,1 Current State: 51:[83, 10, 21], Operations: ['82-61=21'] Exploring Operation: 10+21=31, Resulting Numbers: [83, 31] Generated Node #0,1,0: 51:[83, 31] Operation: 10+21=31 Exploring Operation: 83+10=93, Resulting Numbers: [21, 93] Generated Node #0,1,1: 51:[21, 93] Operation: 83+10=93 Exploring Operation: 83-10=73, Resulting Numbers: [21, 73] Generated Node #0,1,2: 51:[21, 73] Operation: 83-10=73 Exploring Operation: 21-10=11, Resulting Numbers: [83, 11] Generated Node #0,1,3: 51:[83, 11] Operation: 21-10=11 Exploring Operation: 83-21=62, Resulting Numbers: [10, 62] Generated Node #0,1,4: 51:[10, 62] Operation: 83-21=62 Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 51:[10, 62], Operations: ['82-61=21', '83-21=62'] Exploring Operation: 62-10=52, Resulting Numbers: [52] 52,51 unequal: No Solution Exploring Operation: 10*62=620, Resulting Numbers: [620] 620,51 unequal: No Solution Exploring Operation: 10+62=72, Resulting Numbers: [72] 72,51 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 #0,1,2 Current State: 51:[21, 73], Operations: ['82-61=21', '83-10=73'] Exploring Operation: 21+73=94, Resulting Numbers: [94] 94,51 unequal: No Solution Exploring Operation: 73-21=52, Resulting Numbers: [52] 52,51 unequal: No Solution Exploring Operation: 21*73=1533, Resulting Numbers: [1533] 1533,51 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 #0,1,3 Current State: 51:[83, 11], Operations: ['82-61=21', '21-10=11'] Exploring Operation: 83+11=94, Resulting Numbers: [94] 94,51 unequal: No Solution Exploring Operation: 83*11=913, Resulting Numbers: [913] 913,51 unequal: No Solution Exploring Operation: 83-11=72, Resulting Numbers: [72] 72,51 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 #0,1,0 Current State: 51:[83, 31], Operations: ['82-61=21', '10+21=31'] Exploring Operation: 83*31=2573, Resulting Numbers: [2573] 2573,51 unequal: No Solution Exploring Operation: 83-31=52, Resulting Numbers: [52] 52,51 unequal: No Solution Exploring Operation: 83+31=114, Resulting Numbers: [114] 114,51 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 #0,1,1 Current State: 51:[21, 93], Operations: ['82-61=21', '83+10=93'] Exploring Operation: 93-21=72, Resulting Numbers: [72] 72,51 unequal: No Solution Exploring Operation: 21+93=114, Resulting Numbers: [114] 114,51 unequal: No Solution Exploring Operation: 21*93=1953, Resulting Numbers: [1953] 1953,51 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: 51:[82, 10, 22], Operations: ['83-61=22'] Exploring Operation: 82-10=72, Resulting Numbers: [22, 72] Generated Node #0,0,0: 51:[22, 72] Operation: 82-10=72 Exploring Operation: 82+10=92, Resulting Numbers: [22, 92] Generated Node #0,0,1: 51:[22, 92] Operation: 82+10=92 Exploring Operation: 10+22=32, Resulting Numbers: [82, 32] Generated Node #0,0,2: 51:[82, 32] Operation: 10+22=32 Exploring Operation: 82-22=60, Resulting Numbers: [10, 60] Generated Node #0,0,3: 51:[10, 60] Operation: 82-22=60 Exploring Operation: 22-10=12, Resulting Numbers: [82, 12] Generated Node #0,0,4: 51:[82, 12] Operation: 22-10=12 Moving to Node #0,2 Current State: 51:[83, 61, 72], Operations: ['82-10=72'] Exploring Operation: 83-61=22, Resulting Numbers: [72, 22] Generated Node #0,2,0: 51:[72, 22] Operation: 83-61=22 Exploring Operation: 83+72=155, Resulting Numbers: [61, 155] Generated Node #0,2,1: 51:[61, 155] Operation: 83+72=155 Exploring Operation: 72-61=11, Resulting Numbers: [83, 11] Generated Node #0,2,2: 51:[83, 11] Operation: 72-61=11 Exploring Operation: 83-72=11, Resulting Numbers: [61, 11] Generated Node #0,2,3: 51:[61, 11] Operation: 83-72=11 Exploring Operation: 83+61=144, Resulting Numbers: [72, 144] Generated Node #0,2,4: 51:[72, 144] Operation: 83+61=144 Moving to Node #0,3 Current State: 51:[82, 61, 73], Operations: ['83-10=73'] Exploring Operation: 82+73=155, Resulting Numbers: [61, 155] Generated Node #0,3,0: 51:[61, 155] Operation: 82+73=155 Exploring Operation: 82-61=21, Resulting Numbers: [73, 21] Generated Node #0,3,1: 51:[73, 21] Operation: 82-61=21 Exploring Operation: 82+61=143, Resulting Numbers: [73, 143] Generated Node #0,3,2: 51:[73, 143] Operation: 82+61=143 Exploring Operation: 73-61=12, Resulting Numbers: [82, 12] Generated Node #0,3,3: 51:[82, 12] Operation: 73-61=12 Exploring Operation: 82-73=9, Resulting Numbers: [61, 9] Generated Node #0,3,4: 51:[61, 9] Operation: 82-73=9 Moving to Node #0,4,1 Current State: 51:[1, 51], Operations: ['83-82=1', '61-10=51'] Exploring Operation: 1*51=51, Resulting Numbers: [51] 51,51 equal: Goal Reached Moving to Node #0 Current State: 51:[83, 82, 61, 10], Operations: [] Exploring Operation: 83-82=1, Resulting Numbers: [61, 10, 1] Generated Node #0,4: 51:[61, 10, 1] Operation: 83-82=1 Moving to Node #0,4 Current State: 51:[61, 10, 1], Operations: ['83-82=1'] Exploring Operation: 61-10=51, Resulting Numbers: [1, 51] Generated Node #0,4,1: 51:[1, 51] Operation: 61-10=51 Moving to Node #0,4,1 Current State: 51:[1, 51], Operations: ['83-82=1', '61-10=51'] Exploring Operation: 1*51=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
0.956597
hs_5
mult_heuristic
[ 1, 31, 11, 13 ]
62
[ "1*31=31", "13-11=2", "31*2=62" ]
Current State: 62:[1, 31, 11, 13], Operations: [] Exploring Operation: 1*31=31, Resulting Numbers: [11, 13, 31] Generated Node #2: [11, 13, 31] from Operation: 1*31=31 Current State: 62:[11, 13, 31], Operations: ['1*31=31'] Exploring Operation: 13-11=2, Resulting Numbers: [31, 2] Generated Node #3: [31, 2] from Operation: 13-11=2 Current State: 62:[31, 2], Operations: ['1*31=31', '13-11=2'] Exploring Operation: 31*2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
Current State: 62:[1, 31, 11, 13], Operations: [] Exploring Operation: 11+13=24, Resulting Numbers: [1, 31, 24] Generated Node #0,0: 62:[1, 31, 24] Operation: 11+13=24 Exploring Operation: 11-1=10, Resulting Numbers: [31, 13, 10] Generated Node #0,1: 62:[31, 13, 10] Operation: 11-1=10 Exploring Operation: 13-11=2, Resulting Numbers: [1, 31, 2] Generated Node #0,2: 62:[1, 31, 2] Operation: 13-11=2 Moving to Node #0,2 Current State: 62:[1, 31, 2], Operations: ['13-11=2'] Exploring Operation: 1*2=2, Resulting Numbers: [31, 2] Generated Node #0,2,0: 62:[31, 2] Operation: 1*2=2 Exploring Operation: 1*31=31, Resulting Numbers: [2, 31] Generated Node #0,2,1: 62:[2, 31] Operation: 1*31=31 Exploring Operation: 31/1=31, Resulting Numbers: [2, 31] Generated Node #0,2,2: 62:[2, 31] Operation: 31/1=31 Moving to Node #0,0 Current State: 62:[1, 31, 24], Operations: ['11+13=24'] Exploring Operation: 31-24=7, Resulting Numbers: [1, 7] Generated Node #0,0,0: 62:[1, 7] Operation: 31-24=7 Exploring Operation: 1*31=31, Resulting Numbers: [24, 31] Generated Node #0,0,1: 62:[24, 31] Operation: 1*31=31 Exploring Operation: 1+24=25, Resulting Numbers: [31, 25] Generated Node #0,0,2: 62:[31, 25] Operation: 1+24=25 Moving to Node #0,1 Current State: 62:[31, 13, 10], Operations: ['11-1=10'] Exploring Operation: 13-10=3, Resulting Numbers: [31, 3] Generated Node #0,1,0: 62:[31, 3] Operation: 13-10=3 Exploring Operation: 31+13=44, Resulting Numbers: [10, 44] Generated Node #0,1,1: 62:[10, 44] Operation: 31+13=44 Exploring Operation: 13+10=23, Resulting Numbers: [31, 23] Generated Node #0,1,2: 62:[31, 23] Operation: 13+10=23 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 62:[31, 3], Operations: ['11-1=10', '13-10=3'] Exploring Operation: 31+3=34, Resulting Numbers: [34] 34,62 unequal: No Solution Exploring Operation: 31*3=93, Resulting Numbers: [93] 93,62 unequal: No Solution Exploring Operation: 31-3=28, Resulting Numbers: [28] 28,62 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 #0,1,2 Current State: 62:[31, 23], Operations: ['11-1=10', '13+10=23'] Exploring Operation: 31+23=54, Resulting Numbers: [54] 54,62 unequal: No Solution Exploring Operation: 31-23=8, Resulting Numbers: [8] 8,62 unequal: No Solution Exploring Operation: 31*23=713, Resulting Numbers: [713] 713,62 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 #0,1,1 Current State: 62:[10, 44], Operations: ['11-1=10', '31+13=44'] Exploring Operation: 10*44=440, Resulting Numbers: [440] 440,62 unequal: No Solution Exploring Operation: 44-10=34, Resulting Numbers: [34] 34,62 unequal: No Solution Exploring Operation: 10+44=54, Resulting Numbers: [54] 54,62 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: 62:[31, 2], Operations: ['13-11=2', '1*2=2'] Exploring Operation: 31*2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached Moving to Node #0 Current State: 62:[1, 31, 11, 13], Operations: [] Exploring Operation: 13-11=2, Resulting Numbers: [1, 31, 2] Generated Node #0,2: 62:[1, 31, 2] Operation: 13-11=2 Moving to Node #0,2 Current State: 62:[1, 31, 2], Operations: ['13-11=2'] Exploring Operation: 1*2=2, Resulting Numbers: [31, 2] Generated Node #0,2,0: 62:[31, 2] Operation: 1*2=2 Moving to Node #0,2,0 Current State: 62:[31, 2], Operations: ['13-11=2', '1*2=2'] Exploring Operation: 31*2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
0.977431
hs_3
mult_heuristic
[ 40, 6, 9, 68 ]
82
[ "68-40=28", "6*9=54", "28+54=82" ]
Current State: 82:[40, 6, 9, 68], Operations: [] Exploring Operation: 68-40=28, Resulting Numbers: [6, 9, 28] Generated Node #2: [6, 9, 28] from Operation: 68-40=28 Current State: 82:[6, 9, 28], Operations: ['68-40=28'] Exploring Operation: 6*9=54, Resulting Numbers: [28, 54] Generated Node #3: [28, 54] from Operation: 6*9=54 Current State: 82:[28, 54], Operations: ['68-40=28', '6*9=54'] Exploring Operation: 28+54=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
Current State: 82:[40, 6, 9, 68], Operations: [] Exploring Operation: 6+68=74, Resulting Numbers: [40, 9, 74] Generated Node #0,0: 82:[40, 9, 74] Operation: 6+68=74 Exploring Operation: 9-6=3, Resulting Numbers: [40, 68, 3] Generated Node #0,1: 82:[40, 68, 3] Operation: 9-6=3 Exploring Operation: 9+68=77, Resulting Numbers: [40, 6, 77] Generated Node #0,2: 82:[40, 6, 77] Operation: 9+68=77 Moving to Node #0,2 Current State: 82:[40, 6, 77], Operations: ['9+68=77'] Exploring Operation: 6+77=83, Resulting Numbers: [40, 83] Generated Node #0,2,0: 82:[40, 83] Operation: 6+77=83 Exploring Operation: 40+6=46, Resulting Numbers: [77, 46] Generated Node #0,2,1: 82:[77, 46] Operation: 40+6=46 Exploring Operation: 77-40=37, Resulting Numbers: [6, 37] Generated Node #0,2,2: 82:[6, 37] Operation: 77-40=37 Moving to Node #0,0 Current State: 82:[40, 9, 74], Operations: ['6+68=74'] Exploring Operation: 74-40=34, Resulting Numbers: [9, 34] Generated Node #0,0,0: 82:[9, 34] Operation: 74-40=34 Exploring Operation: 9+74=83, Resulting Numbers: [40, 83] Generated Node #0,0,1: 82:[40, 83] Operation: 9+74=83 Exploring Operation: 40+9=49, Resulting Numbers: [74, 49] Generated Node #0,0,2: 82:[74, 49] Operation: 40+9=49 Moving to Node #0,1 Current State: 82:[40, 68, 3], Operations: ['9-6=3'] Exploring Operation: 40+3=43, Resulting Numbers: [68, 43] Generated Node #0,1,0: 82:[68, 43] Operation: 40+3=43 Exploring Operation: 68-40=28, Resulting Numbers: [3, 28] Generated Node #0,1,1: 82:[3, 28] Operation: 68-40=28 Exploring Operation: 68+3=71, Resulting Numbers: [40, 71] Generated Node #0,1,2: 82:[40, 71] Operation: 68+3=71 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 82:[40, 71], Operations: ['9-6=3', '68+3=71'] Exploring Operation: 40*71=2840, Resulting Numbers: [2840] 2840,82 unequal: No Solution Exploring Operation: 71-40=31, Resulting Numbers: [31] 31,82 unequal: No Solution Exploring Operation: 40+71=111, Resulting Numbers: [111] 111,82 unequal: No Solution No 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: 82:[3, 28], Operations: ['9-6=3', '68-40=28'] Exploring Operation: 3+28=31, Resulting Numbers: [31] 31,82 unequal: No Solution Exploring Operation: 3*28=84, Resulting Numbers: [84] 84,82 unequal: No Solution Exploring Operation: 28-3=25, Resulting Numbers: [25] 25,82 unequal: No Solution No 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: 82:[68, 43], Operations: ['9-6=3', '40+3=43'] Exploring Operation: 68*43=2924, Resulting Numbers: [2924] 2924,82 unequal: No Solution Exploring Operation: 68+43=111, Resulting Numbers: [111] 111,82 unequal: No Solution Exploring Operation: 68-43=25, Resulting Numbers: [25] 25,82 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: 82:[40, 83], Operations: ['9+68=77', '6+77=83'] Exploring Operation: 83-40=43, Resulting Numbers: [43] 43,82 unequal: No Solution Exploring Operation: 40*83=3320, Resulting Numbers: [3320] 3320,82 unequal: No Solution Exploring Operation: 40+83=123, Resulting Numbers: [123] 123,82 unequal: No Solution Moving to Node #0,0,1 Current State: 82:[40, 83], Operations: ['6+68=74', '9+74=83'] Exploring Operation: 40*83=3320, Resulting Numbers: [3320] 3320,82 unequal: No Solution Exploring Operation: 40+83=123, Resulting Numbers: [123] 123,82 unequal: No Solution Exploring Operation: 83-40=43, Resulting Numbers: [43] 43,82 unequal: No Solution Moving to Node #0,2,2 Current State: 82:[6, 37], Operations: ['9+68=77', '77-40=37'] Exploring Operation: 6+37=43, Resulting Numbers: [43] 43,82 unequal: No Solution Exploring Operation: 6*37=222, Resulting Numbers: [222] 222,82 unequal: No Solution Exploring Operation: 37-6=31, Resulting Numbers: [31] 31,82 unequal: No Solution Moving to Node #0,2,1 Current State: 82:[77, 46], Operations: ['9+68=77', '40+6=46'] Exploring Operation: 77-46=31, Resulting Numbers: [31] 31,82 unequal: No Solution Exploring Operation: 77+46=123, Resulting Numbers: [123] 123,82 unequal: No Solution Exploring Operation: 77*46=3542, Resulting Numbers: [3542] 3542,82 unequal: No Solution Moving to Node #0,0,0 Current State: 82:[9, 34], Operations: ['6+68=74', '74-40=34'] Exploring Operation: 9+34=43, Resulting Numbers: [43] 43,82 unequal: No Solution Exploring Operation: 9*34=306, Resulting Numbers: [306] 306,82 unequal: No Solution Exploring Operation: 34-9=25, Resulting Numbers: [25] 25,82 unequal: No Solution Moving to Node #0,0,2 Current State: 82:[74, 49], Operations: ['6+68=74', '40+9=49'] Exploring Operation: 74-49=25, Resulting Numbers: [25] 25,82 unequal: No Solution Exploring Operation: 74+49=123, Resulting Numbers: [123] 123,82 unequal: No Solution Exploring Operation: 74*49=3626, Resulting Numbers: [3626] 3626,82 unequal: No Solution No solution found.
0
hs_3
mult_heuristic
[ 22, 72, 87, 4 ]
83
[ "87-22=65", "72/4=18", "65+18=83" ]
Current State: 83:[22, 72, 87, 4], Operations: [] Exploring Operation: 87-22=65, Resulting Numbers: [72, 4, 65] Generated Node #2: [72, 4, 65] from Operation: 87-22=65 Current State: 83:[72, 4, 65], Operations: ['87-22=65'] Exploring Operation: 72/4=18, Resulting Numbers: [65, 18] Generated Node #3: [65, 18] from Operation: 72/4=18 Current State: 83:[65, 18], Operations: ['87-22=65', '72/4=18'] Exploring Operation: 65+18=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
Current State: 83:[22, 72, 87, 4], Operations: [] Exploring Operation: 72+4=76, Resulting Numbers: [22, 87, 76] Generated Node #0,0: 83:[22, 87, 76] Operation: 72+4=76 Exploring Operation: 22*4=88, Resulting Numbers: [72, 87, 88] Generated Node #0,1: 83:[72, 87, 88] Operation: 22*4=88 Exploring Operation: 87-4=83, Resulting Numbers: [22, 72, 83] Generated Node #0,2: 83:[22, 72, 83] Operation: 87-4=83 Exploring Operation: 22+4=26, Resulting Numbers: [72, 87, 26] Generated Node #0,3: 83:[72, 87, 26] Operation: 22+4=26 Moving to Node #0,1 Current State: 83:[72, 87, 88], Operations: ['22*4=88'] Exploring Operation: 87-72=15, Resulting Numbers: [88, 15] Generated Node #0,1,0: 83:[88, 15] Operation: 87-72=15 Exploring Operation: 72+87=159, Resulting Numbers: [88, 159] Generated Node #0,1,1: 83:[88, 159] Operation: 72+87=159 Exploring Operation: 72+88=160, Resulting Numbers: [87, 160] Generated Node #0,1,2: 83:[87, 160] Operation: 72+88=160 Exploring Operation: 88-72=16, Resulting Numbers: [87, 16] Generated Node #0,1,3: 83:[87, 16] Operation: 88-72=16 Moving to Node #0,2 Current State: 83:[22, 72, 83], Operations: ['87-4=83'] Exploring Operation: 22+72=94, Resulting Numbers: [83, 94] Generated Node #0,2,0: 83:[83, 94] Operation: 22+72=94 Exploring Operation: 22+83=105, Resulting Numbers: [72, 105] Generated Node #0,2,1: 83:[72, 105] Operation: 22+83=105 Exploring Operation: 72-22=50, Resulting Numbers: [83, 50] Generated Node #0,2,2: 83:[83, 50] Operation: 72-22=50 Exploring Operation: 83-22=61, Resulting Numbers: [72, 61] Generated Node #0,2,3: 83:[72, 61] Operation: 83-22=61 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 83:[83, 94], Operations: ['87-4=83', '22+72=94'] Exploring Operation: 83+94=177, Resulting Numbers: [177] 177,83 unequal: No Solution Exploring Operation: 94-83=11, Resulting Numbers: [11] 11,83 unequal: No Solution Exploring Operation: 83*94=7802, Resulting Numbers: [7802] 7802,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 83:[72, 105], Operations: ['87-4=83', '22+83=105'] Exploring Operation: 105-72=33, Resulting Numbers: [33] 33,83 unequal: No Solution Exploring Operation: 72+105=177, Resulting Numbers: [177] 177,83 unequal: No Solution Exploring Operation: 72*105=7560, Resulting Numbers: [7560] 7560,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 83:[83, 50], Operations: ['87-4=83', '72-22=50'] Exploring Operation: 83-50=33, Resulting Numbers: [33] 33,83 unequal: No Solution Exploring Operation: 83*50=4150, Resulting Numbers: [4150] 4150,83 unequal: No Solution Exploring Operation: 83+50=133, Resulting Numbers: [133] 133,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 83:[72, 61], Operations: ['87-4=83', '83-22=61'] Exploring Operation: 72-61=11, Resulting Numbers: [11] 11,83 unequal: No Solution Exploring Operation: 72+61=133, Resulting Numbers: [133] 133,83 unequal: No Solution Exploring Operation: 72*61=4392, Resulting Numbers: [4392] 4392,83 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: 83:[22, 87, 76], Operations: ['72+4=76'] Exploring Operation: 22+87=109, Resulting Numbers: [76, 109] Generated Node #0,0,0: 83:[76, 109] Operation: 22+87=109 Exploring Operation: 22+76=98, Resulting Numbers: [87, 98] Generated Node #0,0,1: 83:[87, 98] Operation: 22+76=98 Exploring Operation: 87-22=65, Resulting Numbers: [76, 65] Generated Node #0,0,2: 83:[76, 65] Operation: 87-22=65 Exploring Operation: 76-22=54, Resulting Numbers: [87, 54] Generated Node #0,0,3: 83:[87, 54] Operation: 76-22=54 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 83:[87, 98], Operations: ['72+4=76', '22+76=98'] Exploring Operation: 98-87=11, Resulting Numbers: [11] 11,83 unequal: No Solution Exploring Operation: 87*98=8526, Resulting Numbers: [8526] 8526,83 unequal: No Solution Exploring Operation: 87+98=185, Resulting Numbers: [185] 185,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 83:[76, 65], Operations: ['72+4=76', '87-22=65'] Exploring Operation: 76*65=4940, Resulting Numbers: [4940] 4940,83 unequal: No Solution Exploring Operation: 76-65=11, Resulting Numbers: [11] 11,83 unequal: No Solution Exploring Operation: 76+65=141, Resulting Numbers: [141] 141,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 83:[76, 109], Operations: ['72+4=76', '22+87=109'] Exploring Operation: 109-76=33, Resulting Numbers: [33] 33,83 unequal: No Solution Exploring Operation: 76+109=185, Resulting Numbers: [185] 185,83 unequal: No Solution Exploring Operation: 76*109=8284, Resulting Numbers: [8284] 8284,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 83:[87, 54], Operations: ['72+4=76', '76-22=54'] Exploring Operation: 87*54=4698, Resulting Numbers: [4698] 4698,83 unequal: No Solution Exploring Operation: 87+54=141, Resulting Numbers: [141] 141,83 unequal: No Solution Exploring Operation: 87-54=33, Resulting Numbers: [33] 33,83 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: 83:[72, 87, 26], Operations: ['22+4=26'] Exploring Operation: 72-26=46, Resulting Numbers: [87, 46] Generated Node #0,3,0: 83:[87, 46] Operation: 72-26=46 Exploring Operation: 87-26=61, Resulting Numbers: [72, 61] Generated Node #0,3,1: 83:[72, 61] Operation: 87-26=61 Exploring Operation: 72+26=98, Resulting Numbers: [87, 98] Generated Node #0,3,2: 83:[87, 98] Operation: 72+26=98 Exploring Operation: 87+26=113, Resulting Numbers: [72, 113] Generated Node #0,3,3: 83:[72, 113] Operation: 87+26=113 Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 83:[87, 98], Operations: ['22+4=26', '72+26=98'] Exploring Operation: 98-87=11, Resulting Numbers: [11] 11,83 unequal: No Solution Exploring Operation: 87*98=8526, Resulting Numbers: [8526] 8526,83 unequal: No Solution Exploring Operation: 87+98=185, Resulting Numbers: [185] 185,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 83:[72, 61], Operations: ['22+4=26', '87-26=61'] Exploring Operation: 72-61=11, Resulting Numbers: [11] 11,83 unequal: No Solution Exploring Operation: 72+61=133, Resulting Numbers: [133] 133,83 unequal: No Solution Exploring Operation: 72*61=4392, Resulting Numbers: [4392] 4392,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 83:[87, 46], Operations: ['22+4=26', '72-26=46'] Exploring Operation: 87*46=4002, Resulting Numbers: [4002] 4002,83 unequal: No Solution Exploring Operation: 87+46=133, Resulting Numbers: [133] 133,83 unequal: No Solution Exploring Operation: 87-46=41, Resulting Numbers: [41] 41,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 83:[72, 113], Operations: ['22+4=26', '87+26=113'] Exploring Operation: 72+113=185, Resulting Numbers: [185] 185,83 unequal: No Solution Exploring Operation: 113-72=41, Resulting Numbers: [41] 41,83 unequal: No Solution Exploring Operation: 72*113=8136, Resulting Numbers: [8136] 8136,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,3 Current State: 83:[87, 16], Operations: ['22*4=88', '88-72=16'] Exploring Operation: 87*16=1392, Resulting Numbers: [1392] 1392,83 unequal: No Solution Exploring Operation: 87+16=103, Resulting Numbers: [103] 103,83 unequal: No Solution Exploring Operation: 87-16=71, Resulting Numbers: [71] 71,83 unequal: No Solution Moving to Node #0,1,0 Current State: 83:[88, 15], Operations: ['22*4=88', '87-72=15'] Exploring Operation: 88+15=103, Resulting Numbers: [103] 103,83 unequal: No Solution Exploring Operation: 88-15=73, Resulting Numbers: [73] 73,83 unequal: No Solution Exploring Operation: 88*15=1320, Resulting Numbers: [1320] 1320,83 unequal: No Solution Moving to Node #0,1,2 Current State: 83:[87, 160], Operations: ['22*4=88', '72+88=160'] Exploring Operation: 87*160=13920, Resulting Numbers: [13920] 13920,83 unequal: No Solution Exploring Operation: 87+160=247, Resulting Numbers: [247] 247,83 unequal: No Solution Exploring Operation: 160-87=73, Resulting Numbers: [73] 73,83 unequal: No Solution Moving to Node #0,1,1 Current State: 83:[88, 159], Operations: ['22*4=88', '72+87=159'] Exploring Operation: 159-88=71, Resulting Numbers: [71] 71,83 unequal: No Solution Exploring Operation: 88+159=247, Resulting Numbers: [247] 247,83 unequal: No Solution Exploring Operation: 88*159=13992, Resulting Numbers: [13992] 13992,83 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 76, 38, 56, 46 ]
48
[ "76-38=38", "56-46=10", "38+10=48" ]
Current State: 48:[76, 38, 56, 46], Operations: [] Exploring Operation: 76-38=38, Resulting Numbers: [56, 46, 38] Generated Node #2: [56, 46, 38] from Operation: 76-38=38 Current State: 48:[56, 46, 38], Operations: ['76-38=38'] Exploring Operation: 56-46=10, Resulting Numbers: [38, 10] Generated Node #3: [38, 10] from Operation: 56-46=10 Current State: 48:[38, 10], Operations: ['76-38=38', '56-46=10'] Exploring Operation: 38+10=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
Current State: 48:[76, 38, 56, 46], Operations: [] Exploring Operation: 76-56=20, Resulting Numbers: [38, 46, 20] Generated Node #0,0: 48:[38, 46, 20] Operation: 76-56=20 Exploring Operation: 76-38=38, Resulting Numbers: [56, 46, 38] Generated Node #0,1: 48:[56, 46, 38] Operation: 76-38=38 Exploring Operation: 76-46=30, Resulting Numbers: [38, 56, 30] Generated Node #0,2: 48:[38, 56, 30] Operation: 76-46=30 Exploring Operation: 76/38=2, Resulting Numbers: [56, 46, 2] Generated Node #0,3: 48:[56, 46, 2] Operation: 76/38=2 Exploring Operation: 56-38=18, Resulting Numbers: [76, 46, 18] Generated Node #0,4: 48:[76, 46, 18] Operation: 56-38=18 Moving to Node #0,3 Current State: 48:[56, 46, 2], Operations: ['76/38=2'] Exploring Operation: 46+2=48, Resulting Numbers: [56, 48] Generated Node #0,3,0: 48:[56, 48] Operation: 46+2=48 Exploring Operation: 56-2=54, Resulting Numbers: [46, 54] Generated Node #0,3,1: 48:[46, 54] Operation: 56-2=54 Exploring Operation: 46/2=23, Resulting Numbers: [56, 23] Generated Node #0,3,2: 48:[56, 23] Operation: 46/2=23 Exploring Operation: 56/2=28, Resulting Numbers: [46, 28] Generated Node #0,3,3: 48:[46, 28] Operation: 56/2=28 Exploring Operation: 56-46=10, Resulting Numbers: [2, 10] Generated Node #0,3,4: 48:[2, 10] Operation: 56-46=10 Moving to Node #0,0 Current State: 48:[38, 46, 20], Operations: ['76-56=20'] Exploring Operation: 46+20=66, Resulting Numbers: [38, 66] Generated Node #0,0,0: 48:[38, 66] Operation: 46+20=66 Exploring Operation: 46-38=8, Resulting Numbers: [20, 8] Generated Node #0,0,1: 48:[20, 8] Operation: 46-38=8 Exploring Operation: 38+20=58, Resulting Numbers: [46, 58] Generated Node #0,0,2: 48:[46, 58] Operation: 38+20=58 Exploring Operation: 46-20=26, Resulting Numbers: [38, 26] Generated Node #0,0,3: 48:[38, 26] Operation: 46-20=26 Exploring Operation: 38-20=18, Resulting Numbers: [46, 18] Generated Node #0,0,4: 48:[46, 18] Operation: 38-20=18 Moving to Node #0,1 Current State: 48:[56, 46, 38], Operations: ['76-38=38'] Exploring Operation: 46+38=84, Resulting Numbers: [56, 84] Generated Node #0,1,0: 48:[56, 84] Operation: 46+38=84 Exploring Operation: 46-38=8, Resulting Numbers: [56, 8] Generated Node #0,1,1: 48:[56, 8] Operation: 46-38=8 Exploring Operation: 56-46=10, Resulting Numbers: [38, 10] Generated Node #0,1,2: 48:[38, 10] Operation: 56-46=10 Exploring Operation: 56+38=94, Resulting Numbers: [46, 94] Generated Node #0,1,3: 48:[46, 94] Operation: 56+38=94 Exploring Operation: 56-38=18, Resulting Numbers: [46, 18] Generated Node #0,1,4: 48:[46, 18] Operation: 56-38=18 Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 48:[46, 18], Operations: ['76-38=38', '56-38=18'] Exploring Operation: 46+18=64, Resulting Numbers: [64] 64,48 unequal: No Solution Exploring Operation: 46-18=28, Resulting Numbers: [28] 28,48 unequal: No Solution Exploring Operation: 46*18=828, Resulting Numbers: [828] 828,48 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:[56, 8], Operations: ['76-38=38', '46-38=8'] Exploring Operation: 56-8=48, Resulting Numbers: [48] 48,48 equal: Goal Reached Moving to Node #0 Current State: 48:[76, 38, 56, 46], Operations: [] Exploring Operation: 76-38=38, Resulting Numbers: [56, 46, 38] Generated Node #0,1: 48:[56, 46, 38] Operation: 76-38=38 Moving to Node #0,1 Current State: 48:[56, 46, 38], Operations: ['76-38=38'] Exploring Operation: 46-38=8, Resulting Numbers: [56, 8] Generated Node #0,1,1: 48:[56, 8] Operation: 46-38=8 Moving to Node #0,1,1 Current State: 48:[56, 8], Operations: ['76-38=38', '46-38=8'] Exploring Operation: 56-8=48, Resulting Numbers: [48] 48,48 equal: Goal Reached Exit Sub Search at level 1
0.975694
hs_5
mult_heuristic
[ 12, 2, 78, 95 ]
50
[ "12+78=90", "90/2=45", "95-45=50" ]
Current State: 50:[12, 2, 78, 95], Operations: [] Exploring Operation: 12+78=90, Resulting Numbers: [2, 95, 90] Generated Node #2: [2, 95, 90] from Operation: 12+78=90 Current State: 50:[2, 95, 90], Operations: ['12+78=90'] Exploring Operation: 90/2=45, Resulting Numbers: [95, 45] Generated Node #3: [95, 45] from Operation: 90/2=45 Current State: 50:[95, 45], Operations: ['12+78=90', '90/2=45'] Exploring Operation: 95-45=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
Current State: 50:[12, 2, 78, 95], Operations: [] Exploring Operation: 95-78=17, Resulting Numbers: [12, 2, 17] Generated Node #0,0: 50:[12, 2, 17] Operation: 95-78=17 Exploring Operation: 78/2=39, Resulting Numbers: [12, 95, 39] Generated Node #0,1: 50:[12, 95, 39] Operation: 78/2=39 Start Sub Search at level 1: Moving to Node #0,0 Current State: 50:[12, 2, 17], Operations: ['95-78=17'] Exploring Operation: 12+17=29, Resulting Numbers: [2, 29] Generated Node #0,0,0: 50:[2, 29] Operation: 12+17=29 Exploring Operation: 17-12=5, Resulting Numbers: [2, 5] Generated Node #0,0,1: 50:[2, 5] Operation: 17-12=5 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 50:[2, 5], Operations: ['95-78=17', '17-12=5'] Exploring Operation: 2*5=10, Resulting Numbers: [10] 10,50 unequal: No Solution Exploring Operation: 5-2=3, Resulting Numbers: [3] 3,50 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: 50:[2, 29], Operations: ['95-78=17', '12+17=29'] Exploring Operation: 29-2=27, Resulting Numbers: [27] 27,50 unequal: No Solution Exploring Operation: 2+29=31, Resulting Numbers: [31] 31,50 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: 50:[12, 95, 39], Operations: ['78/2=39'] Exploring Operation: 95-39=56, Resulting Numbers: [12, 56] Generated Node #0,1,0: 50:[12, 56] Operation: 95-39=56 Exploring Operation: 95-12=83, Resulting Numbers: [39, 83] Generated Node #0,1,1: 50:[39, 83] Operation: 95-12=83 Moving to Node #0,1,0 Current State: 50:[12, 56], Operations: ['78/2=39', '95-39=56'] Exploring Operation: 12+56=68, Resulting Numbers: [68] 68,50 unequal: No Solution Exploring Operation: 56-12=44, Resulting Numbers: [44] 44,50 unequal: No Solution Moving to Node #0,1,1 Current State: 50:[39, 83], Operations: ['78/2=39', '95-12=83'] Exploring Operation: 39+83=122, Resulting Numbers: [122] 122,50 unequal: No Solution Exploring Operation: 83-39=44, Resulting Numbers: [44] 44,50 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
[ 91, 39, 92, 22 ]
62
[ "91-39=52", "92+22=114", "114-52=62" ]
Current State: 62:[91, 39, 92, 22], Operations: [] Exploring Operation: 91-39=52, Resulting Numbers: [92, 22, 52] Generated Node #2: [92, 22, 52] from Operation: 91-39=52 Current State: 62:[92, 22, 52], Operations: ['91-39=52'] Exploring Operation: 92+22=114, Resulting Numbers: [52, 114] Generated Node #3: [52, 114] from Operation: 92+22=114 Current State: 62:[52, 114], Operations: ['91-39=52', '92+22=114'] Exploring Operation: 114-52=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
Current State: 62:[91, 39, 92, 22], Operations: [] Exploring Operation: 92-22=70, Resulting Numbers: [91, 39, 70] Generated Node #0,0: 62:[91, 39, 70] Operation: 92-22=70 Exploring Operation: 92-91=1, Resulting Numbers: [39, 22, 1] Generated Node #0,1: 62:[39, 22, 1] Operation: 92-91=1 Exploring Operation: 91-22=69, Resulting Numbers: [39, 92, 69] Generated Node #0,2: 62:[39, 92, 69] Operation: 91-22=69 Exploring Operation: 91-39=52, Resulting Numbers: [92, 22, 52] Generated Node #0,3: 62:[92, 22, 52] Operation: 91-39=52 Exploring Operation: 92-39=53, Resulting Numbers: [91, 22, 53] Generated Node #0,4: 62:[91, 22, 53] Operation: 92-39=53 Moving to Node #0,1 Current State: 62:[39, 22, 1], Operations: ['92-91=1'] Exploring Operation: 22+1=23, Resulting Numbers: [39, 23] Generated Node #0,1,0: 62:[39, 23] Operation: 22+1=23 Exploring Operation: 39*1=39, Resulting Numbers: [22, 39] Generated Node #0,1,1: 62:[22, 39] Operation: 39*1=39 Exploring Operation: 39-22=17, Resulting Numbers: [1, 17] Generated Node #0,1,2: 62:[1, 17] Operation: 39-22=17 Exploring Operation: 39-1=38, Resulting Numbers: [22, 38] Generated Node #0,1,3: 62:[22, 38] Operation: 39-1=38 Exploring Operation: 39+22=61, Resulting Numbers: [1, 61] Generated Node #0,1,4: 62:[1, 61] Operation: 39+22=61 Moving to Node #0,2 Current State: 62:[39, 92, 69], Operations: ['91-22=69'] Exploring Operation: 39+69=108, Resulting Numbers: [92, 108] Generated Node #0,2,0: 62:[92, 108] Operation: 39+69=108 Exploring Operation: 92-39=53, Resulting Numbers: [69, 53] Generated Node #0,2,1: 62:[69, 53] Operation: 92-39=53 Exploring Operation: 39+92=131, Resulting Numbers: [69, 131] Generated Node #0,2,2: 62:[69, 131] Operation: 39+92=131 Exploring Operation: 69-39=30, Resulting Numbers: [92, 30] Generated Node #0,2,3: 62:[92, 30] Operation: 69-39=30 Exploring Operation: 92-69=23, Resulting Numbers: [39, 23] Generated Node #0,2,4: 62:[39, 23] Operation: 92-69=23 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 62:[69, 53], Operations: ['91-22=69', '92-39=53'] Exploring Operation: 69*53=3657, Resulting Numbers: [3657] 3657,62 unequal: No Solution Exploring Operation: 69-53=16, Resulting Numbers: [16] 16,62 unequal: No Solution Exploring Operation: 69+53=122, Resulting Numbers: [122] 122,62 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 #0,2,4 Current State: 62:[39, 23], Operations: ['91-22=69', '92-69=23'] Exploring Operation: 39-23=16, Resulting Numbers: [16] 16,62 unequal: No Solution Exploring Operation: 39+23=62, Resulting Numbers: [62] 62,62 equal: Goal Reached Moving to Node #0 Current State: 62:[91, 39, 92, 22], Operations: [] Exploring Operation: 91-22=69, Resulting Numbers: [39, 92, 69] Generated Node #0,2: 62:[39, 92, 69] Operation: 91-22=69 Moving to Node #0,2 Current State: 62:[39, 92, 69], Operations: ['91-22=69'] Exploring Operation: 92-69=23, Resulting Numbers: [39, 23] Generated Node #0,2,4: 62:[39, 23] Operation: 92-69=23 Moving to Node #0,2,4 Current State: 62:[39, 23], Operations: ['91-22=69', '92-69=23'] Exploring Operation: 39+23=62, Resulting Numbers: [62] 62,62 equal: Goal Reached Exit Sub Search at level 1
0.979167
hs_5
sum_heuristic
[ 11, 9, 46, 52 ]
49
[ "11-9=2", "46+52=98", "98/2=49" ]
Current State: 49:[11, 9, 46, 52], Operations: [] Exploring Operation: 11-9=2, Resulting Numbers: [46, 52, 2] Generated Node #2: [46, 52, 2] from Operation: 11-9=2 Current State: 49:[46, 52, 2], Operations: ['11-9=2'] Exploring Operation: 46+52=98, Resulting Numbers: [2, 98] Generated Node #3: [2, 98] from Operation: 46+52=98 Current State: 49:[2, 98], Operations: ['11-9=2', '46+52=98'] Exploring Operation: 98/2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
Current State: 49:[11, 9, 46, 52], Operations: [] Exploring Operation: 52-46=6, Resulting Numbers: [11, 9, 6] Generated Node #0,0: 49:[11, 9, 6] Operation: 52-46=6 Moving to Node #0,0 Current State: 49:[11, 9, 6], Operations: ['52-46=6'] Exploring Operation: 11-6=5, Resulting Numbers: [9, 5] Generated Node #0,0,0: 49:[9, 5] Operation: 11-6=5 Moving to Node #0,0,0 Current State: 49:[9, 5], Operations: ['52-46=6', '11-6=5'] Exploring Operation: 9-5=4, Resulting Numbers: [4] 4,49 unequal: No Solution No solution found.
0
hs_1
sum_heuristic
[ 42, 97, 61, 75 ]
69
[ "97-42=55", "75-61=14", "55+14=69" ]
Current State: 69:[42, 97, 61, 75], Operations: [] Exploring Operation: 97-42=55, Resulting Numbers: [61, 75, 55] Generated Node #2: [61, 75, 55] from Operation: 97-42=55 Current State: 69:[61, 75, 55], Operations: ['97-42=55'] Exploring Operation: 75-61=14, Resulting Numbers: [55, 14] Generated Node #3: [55, 14] from Operation: 75-61=14 Current State: 69:[55, 14], Operations: ['97-42=55', '75-61=14'] Exploring Operation: 55+14=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
Current State: 69:[42, 97, 61, 75], Operations: [] Exploring Operation: 97-42=55, Resulting Numbers: [61, 75, 55] Generated Node #0,0: 69:[61, 75, 55] Operation: 97-42=55 Moving to Node #0,0 Current State: 69:[61, 75, 55], Operations: ['97-42=55'] Exploring Operation: 61-55=6, Resulting Numbers: [75, 6] Generated Node #0,0,0: 69:[75, 6] Operation: 61-55=6 Moving to Node #0,0,0 Current State: 69:[75, 6], Operations: ['97-42=55', '61-55=6'] Exploring Operation: 75-6=69, Resulting Numbers: [69] 69,69 equal: Goal Reached Moving to Node #0 Current State: 69:[42, 97, 61, 75], Operations: [] Exploring Operation: 97-42=55, Resulting Numbers: [61, 75, 55] Generated Node #0,0: 69:[61, 75, 55] Operation: 97-42=55 Moving to Node #0,0 Current State: 69:[61, 75, 55], Operations: ['97-42=55'] Exploring Operation: 61-55=6, Resulting Numbers: [75, 6] Generated Node #0,0,0: 69:[75, 6] Operation: 61-55=6 Moving to Node #0,0,0 Current State: 69:[75, 6], Operations: ['97-42=55', '61-55=6'] Exploring Operation: 75-6=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
0.993924
hs_1
mult_heuristic
[ 77, 94, 2, 29 ]
53
[ "94-29=65", "2*65=130", "130-77=53" ]
Current State: 53:[77, 94, 2, 29], Operations: [] Exploring Operation: 94-29=65, Resulting Numbers: [77, 2, 65] Generated Node #2: [77, 2, 65] from Operation: 94-29=65 Current State: 53:[77, 2, 65], Operations: ['94-29=65'] Exploring Operation: 2*65=130, Resulting Numbers: [77, 130] Generated Node #3: [77, 130] from Operation: 2*65=130 Current State: 53:[77, 130], Operations: ['94-29=65', '2*65=130'] Exploring Operation: 130-77=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
Current State: 53:[77, 94, 2, 29], Operations: [] Exploring Operation: 2*29=58, Resulting Numbers: [77, 94, 58] Generated Node #0,0: 53:[77, 94, 58] Operation: 2*29=58 Exploring Operation: 94-2=92, Resulting Numbers: [77, 29, 92] Generated Node #0,1: 53:[77, 29, 92] Operation: 94-2=92 Exploring Operation: 94/2=47, Resulting Numbers: [77, 29, 47] Generated Node #0,2: 53:[77, 29, 47] Operation: 94/2=47 Exploring Operation: 77-2=75, Resulting Numbers: [94, 29, 75] Generated Node #0,3: 53:[94, 29, 75] Operation: 77-2=75 Start Sub Search at level 1: Moving to Node #0,2 Current State: 53:[77, 29, 47], Operations: ['94/2=47'] Exploring Operation: 29+47=76, Resulting Numbers: [77, 76] Generated Node #0,2,0: 53:[77, 76] Operation: 29+47=76 Exploring Operation: 77-29=48, Resulting Numbers: [47, 48] Generated Node #0,2,1: 53:[47, 48] Operation: 77-29=48 Exploring Operation: 77+29=106, Resulting Numbers: [47, 106] Generated Node #0,2,2: 53:[47, 106] Operation: 77+29=106 Exploring Operation: 77-47=30, Resulting Numbers: [29, 30] Generated Node #0,2,3: 53:[29, 30] Operation: 77-47=30 Moving to Node #0,2,1 Current State: 53:[47, 48], Operations: ['94/2=47', '77-29=48'] Exploring Operation: 47*48=2256, Resulting Numbers: [2256] 2256,53 unequal: No Solution Exploring Operation: 47+48=95, Resulting Numbers: [95] 95,53 unequal: No Solution Exploring Operation: 48-47=1, Resulting Numbers: [1] 1,53 unequal: No Solution Moving to Node #0,2,3 Current State: 53:[29, 30], Operations: ['94/2=47', '77-47=30'] Exploring Operation: 29*30=870, Resulting Numbers: [870] 870,53 unequal: No Solution Exploring Operation: 30-29=1, Resulting Numbers: [1] 1,53 unequal: No Solution Exploring Operation: 29+30=59, Resulting Numbers: [59] 59,53 unequal: No Solution Moving to Node #0,2,0 Current State: 53:[77, 76], Operations: ['94/2=47', '29+47=76'] Exploring Operation: 77*76=5852, Resulting Numbers: [5852] 5852,53 unequal: No Solution Exploring Operation: 77-76=1, Resulting Numbers: [1] 1,53 unequal: No Solution Exploring Operation: 77+76=153, Resulting Numbers: [153] 153,53 unequal: No Solution Moving to Node #0,2,2 Current State: 53:[47, 106], Operations: ['94/2=47', '77+29=106'] Exploring Operation: 47+106=153, Resulting Numbers: [153] 153,53 unequal: No Solution Exploring Operation: 106-47=59, Resulting Numbers: [59] 59,53 unequal: No Solution Exploring Operation: 47*106=4982, Resulting Numbers: [4982] 4982,53 unequal: No Solution No 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: 53:[77, 94, 58], Operations: ['2*29=58'] Exploring Operation: 77+94=171, Resulting Numbers: [58, 171] Generated Node #0,0,0: 53:[58, 171] Operation: 77+94=171 Exploring Operation: 94-77=17, Resulting Numbers: [58, 17] Generated Node #0,0,1: 53:[58, 17] Operation: 94-77=17 Exploring Operation: 94-58=36, Resulting Numbers: [77, 36] Generated Node #0,0,2: 53:[77, 36] Operation: 94-58=36 Exploring Operation: 77-58=19, Resulting Numbers: [94, 19] Generated Node #0,0,3: 53:[94, 19] Operation: 77-58=19 Moving to Node #0,0,1 Current State: 53:[58, 17], Operations: ['2*29=58', '94-77=17'] Exploring Operation: 58*17=986, Resulting Numbers: [986] 986,53 unequal: No Solution Exploring Operation: 58-17=41, Resulting Numbers: [41] 41,53 unequal: No Solution Exploring Operation: 58+17=75, Resulting Numbers: [75] 75,53 unequal: No Solution Moving to Node #0,0,2 Current State: 53:[77, 36], Operations: ['2*29=58', '94-58=36'] Exploring Operation: 77+36=113, Resulting Numbers: [113] 113,53 unequal: No Solution Exploring Operation: 77*36=2772, Resulting Numbers: [2772] 2772,53 unequal: No Solution Exploring Operation: 77-36=41, Resulting Numbers: [41] 41,53 unequal: No Solution Moving to Node #0,0,3 Current State: 53:[94, 19], Operations: ['2*29=58', '77-58=19'] Exploring Operation: 94-19=75, Resulting Numbers: [75] 75,53 unequal: No Solution Exploring Operation: 94+19=113, Resulting Numbers: [113] 113,53 unequal: No Solution Exploring Operation: 94*19=1786, Resulting Numbers: [1786] 1786,53 unequal: No Solution Moving to Node #0,0,0 Current State: 53:[58, 171], Operations: ['2*29=58', '77+94=171'] Exploring Operation: 171-58=113, Resulting Numbers: [113] 113,53 unequal: No Solution Exploring Operation: 58+171=229, Resulting Numbers: [229] 229,53 unequal: No Solution Exploring Operation: 58*171=9918, Resulting Numbers: [9918] 9918,53 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 53:[77, 29, 92], Operations: ['94-2=92'] Exploring Operation: 92-77=15, Resulting Numbers: [29, 15] Generated Node #0,1,0: 53:[29, 15] Operation: 92-77=15 Exploring Operation: 77+29=106, Resulting Numbers: [92, 106] Generated Node #0,1,1: 53:[92, 106] Operation: 77+29=106 Exploring Operation: 92-29=63, Resulting Numbers: [77, 63] Generated Node #0,1,2: 53:[77, 63] Operation: 92-29=63 Exploring Operation: 77-29=48, Resulting Numbers: [92, 48] Generated Node #0,1,3: 53:[92, 48] Operation: 77-29=48 Moving to Node #0,1,2 Current State: 53:[77, 63], Operations: ['94-2=92', '92-29=63'] Exploring Operation: 77+63=140, Resulting Numbers: [140] 140,53 unequal: No Solution Exploring Operation: 77-63=14, Resulting Numbers: [14] 14,53 unequal: No Solution Exploring Operation: 77*63=4851, Resulting Numbers: [4851] 4851,53 unequal: No Solution Moving to Node #0,1,3 Current State: 53:[92, 48], Operations: ['94-2=92', '77-29=48'] Exploring Operation: 92-48=44, Resulting Numbers: [44] 44,53 unequal: No Solution Exploring Operation: 92+48=140, Resulting Numbers: [140] 140,53 unequal: No Solution Exploring Operation: 92*48=4416, Resulting Numbers: [4416] 4416,53 unequal: No Solution Moving to Node #0,1,0 Current State: 53:[29, 15], Operations: ['94-2=92', '92-77=15'] Exploring Operation: 29+15=44, Resulting Numbers: [44] 44,53 unequal: No Solution Exploring Operation: 29-15=14, Resulting Numbers: [14] 14,53 unequal: No Solution Exploring Operation: 29*15=435, Resulting Numbers: [435] 435,53 unequal: No Solution Moving to Node #0,1,1 Current State: 53:[92, 106], Operations: ['94-2=92', '77+29=106'] Exploring Operation: 92+106=198, Resulting Numbers: [198] 198,53 unequal: No Solution Exploring Operation: 106-92=14, Resulting Numbers: [14] 14,53 unequal: No Solution Exploring Operation: 92*106=9752, Resulting Numbers: [9752] 9752,53 unequal: No Solution No 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: 53:[94, 29, 75], Operations: ['77-2=75'] Exploring Operation: 94-75=19, Resulting Numbers: [29, 19] Generated Node #0,3,0: 53:[29, 19] Operation: 94-75=19 Exploring Operation: 94-29=65, Resulting Numbers: [75, 65] Generated Node #0,3,1: 53:[75, 65] Operation: 94-29=65 Exploring Operation: 75-29=46, Resulting Numbers: [94, 46] Generated Node #0,3,2: 53:[94, 46] Operation: 75-29=46 Exploring Operation: 94+29=123, Resulting Numbers: [75, 123] Generated Node #0,3,3: 53:[75, 123] Operation: 94+29=123 Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 53:[75, 65], Operations: ['77-2=75', '94-29=65'] Exploring Operation: 75+65=140, Resulting Numbers: [140] 140,53 unequal: No Solution Exploring Operation: 75*65=4875, Resulting Numbers: [4875] 4875,53 unequal: No Solution Exploring Operation: 75-65=10, Resulting Numbers: [10] 10,53 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 53:[94, 46], Operations: ['77-2=75', '75-29=46'] Exploring Operation: 94-46=48, Resulting Numbers: [48] 48,53 unequal: No Solution Exploring Operation: 94+46=140, Resulting Numbers: [140] 140,53 unequal: No Solution Exploring Operation: 94*46=4324, Resulting Numbers: [4324] 4324,53 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 53:[29, 19], Operations: ['77-2=75', '94-75=19'] Exploring Operation: 29-19=10, Resulting Numbers: [10] 10,53 unequal: No Solution Exploring Operation: 29*19=551, Resulting Numbers: [551] 551,53 unequal: No Solution Exploring Operation: 29+19=48, Resulting Numbers: [48] 48,53 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 53:[75, 123], Operations: ['77-2=75', '94+29=123'] Exploring Operation: 123-75=48, Resulting Numbers: [48] 48,53 unequal: No Solution Exploring Operation: 75+123=198, Resulting Numbers: [198] 198,53 unequal: No Solution Exploring Operation: 75*123=9225, Resulting Numbers: [9225] 9225,53 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
sum_heuristic
[ 81, 84, 8, 77 ]
96
[ "81+84=165", "77-8=69", "165-69=96" ]
Current State: 96:[81, 84, 8, 77], Operations: [] Exploring Operation: 81+84=165, Resulting Numbers: [8, 77, 165] Generated Node #2: [8, 77, 165] from Operation: 81+84=165 Current State: 96:[8, 77, 165], Operations: ['81+84=165'] Exploring Operation: 77-8=69, Resulting Numbers: [165, 69] Generated Node #3: [165, 69] from Operation: 77-8=69 Current State: 96:[165, 69], Operations: ['81+84=165', '77-8=69'] Exploring Operation: 165-69=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
Current State: 96:[81, 84, 8, 77], Operations: [] Exploring Operation: 81-77=4, Resulting Numbers: [84, 8, 4] Generated Node #0,0: 96:[84, 8, 4] Operation: 81-77=4 Exploring Operation: 84-81=3, Resulting Numbers: [8, 77, 3] Generated Node #0,1: 96:[8, 77, 3] Operation: 84-81=3 Exploring Operation: 81+8=89, Resulting Numbers: [84, 77, 89] Generated Node #0,2: 96:[84, 77, 89] Operation: 81+8=89 Exploring Operation: 84-77=7, Resulting Numbers: [81, 8, 7] Generated Node #0,3: 96:[81, 8, 7] Operation: 84-77=7 Start Sub Search at level 1: Moving to Node #0,0 Current State: 96:[84, 8, 4], Operations: ['81-77=4'] Exploring Operation: 84+4=88, Resulting Numbers: [8, 88] Generated Node #0,0,0: 96:[8, 88] Operation: 84+4=88 Exploring Operation: 84+8=92, Resulting Numbers: [4, 92] Generated Node #0,0,1: 96:[4, 92] Operation: 84+8=92 Exploring Operation: 8+4=12, Resulting Numbers: [84, 12] Generated Node #0,0,2: 96:[84, 12] Operation: 8+4=12 Exploring Operation: 84/4=21, Resulting Numbers: [8, 21] Generated Node #0,0,3: 96:[8, 21] Operation: 84/4=21 Moving to Node #0,0,3 Current State: 96:[8, 21], Operations: ['81-77=4', '84/4=21'] Exploring Operation: 8*21=168, Resulting Numbers: [168] 168,96 unequal: No Solution Exploring Operation: 21-8=13, Resulting Numbers: [13] 13,96 unequal: No Solution Exploring Operation: 8+21=29, Resulting Numbers: [29] 29,96 unequal: No Solution Moving to Node #0,0,1 Current State: 96:[4, 92], Operations: ['81-77=4', '84+8=92'] Exploring Operation: 92-4=88, Resulting Numbers: [88] 88,96 unequal: No Solution Exploring Operation: 4+92=96, Resulting Numbers: [96] 96,96 equal: Goal Reached Moving to Node #0 Current State: 96:[81, 84, 8, 77], Operations: [] Exploring Operation: 81-77=4, Resulting Numbers: [84, 8, 4] Generated Node #0,0: 96:[84, 8, 4] Operation: 81-77=4 Moving to Node #0,0 Current State: 96:[84, 8, 4], Operations: ['81-77=4'] Exploring Operation: 84+8=92, Resulting Numbers: [4, 92] Generated Node #0,0,1: 96:[4, 92] Operation: 84+8=92 Moving to Node #0,0,1 Current State: 96:[4, 92], Operations: ['81-77=4', '84+8=92'] Exploring Operation: 4+92=96, Resulting Numbers: [96] 96,96 equal: Goal Reached Exit Sub Search at level 1
0.985243
hs_4
mult_heuristic
[ 31, 13, 62, 90 ]
58
[ "62/31=2", "90/2=45", "13+45=58" ]
Current State: 58:[31, 13, 62, 90], Operations: [] Exploring Operation: 62/31=2, Resulting Numbers: [13, 90, 2] Generated Node #2: [13, 90, 2] from Operation: 62/31=2 Current State: 58:[13, 90, 2], Operations: ['62/31=2'] Exploring Operation: 90/2=45, Resulting Numbers: [13, 45] Generated Node #3: [13, 45] from Operation: 90/2=45 Current State: 58:[13, 45], Operations: ['62/31=2', '90/2=45'] Exploring Operation: 13+45=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
Current State: 58:[31, 13, 62, 90], Operations: [] Exploring Operation: 90-62=28, Resulting Numbers: [31, 13, 28] Generated Node #0,0: 58:[31, 13, 28] Operation: 90-62=28 Start Sub Search at level 1: Moving to Node #0,0 Current State: 58:[31, 13, 28], Operations: ['90-62=28'] Exploring Operation: 31-13=18, Resulting Numbers: [28, 18] Generated Node #0,0,0: 58:[28, 18] Operation: 31-13=18 Moving to Node #0,0,0 Current State: 58:[28, 18], Operations: ['90-62=28', '31-13=18'] Exploring Operation: 28-18=10, Resulting Numbers: [10] 10,58 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
mult_heuristic
[ 74, 25, 16, 99 ]
85
[ "25-16=9", "99/9=11", "74+11=85" ]
Current State: 85:[74, 25, 16, 99], Operations: [] Exploring Operation: 25-16=9, Resulting Numbers: [74, 99, 9] Generated Node #2: [74, 99, 9] from Operation: 25-16=9 Current State: 85:[74, 99, 9], Operations: ['25-16=9'] Exploring Operation: 99/9=11, Resulting Numbers: [74, 11] Generated Node #3: [74, 11] from Operation: 99/9=11 Current State: 85:[74, 11], Operations: ['25-16=9', '99/9=11'] Exploring Operation: 74+11=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
Current State: 85:[74, 25, 16, 99], Operations: [] Exploring Operation: 74+16=90, Resulting Numbers: [25, 99, 90] Generated Node #0,0: 85:[25, 99, 90] Operation: 74+16=90 Exploring Operation: 99-25=74, Resulting Numbers: [74, 16, 74] Generated Node #0,1: 85:[74, 16, 74] Operation: 99-25=74 Exploring Operation: 99-74=25, Resulting Numbers: [25, 16, 25] Generated Node #0,2: 85:[25, 16, 25] Operation: 99-74=25 Exploring Operation: 99-16=83, Resulting Numbers: [74, 25, 83] Generated Node #0,3: 85:[74, 25, 83] Operation: 99-16=83 Exploring Operation: 74+25=99, Resulting Numbers: [16, 99, 99] Generated Node #0,4: 85:[16, 99, 99] Operation: 74+25=99 Start Sub Search at level 1: Moving to Node #0,2 Current State: 85:[25, 16, 25], Operations: ['99-74=25'] Exploring Operation: 25/25=1, Resulting Numbers: [16, 1] Generated Node #0,2,0: 85:[16, 1] Operation: 25/25=1 Exploring Operation: 25-25=0, Resulting Numbers: [16, 0] Generated Node #0,2,1: 85:[16, 0] Operation: 25-25=0 Exploring Operation: 25+16=41, Resulting Numbers: [25, 41] Generated Node #0,2,2: 85:[25, 41] Operation: 25+16=41 Exploring Operation: 25-16=9, Resulting Numbers: [25, 9] Generated Node #0,2,3: 85:[25, 9] Operation: 25-16=9 Exploring Operation: 25-16=9, Resulting Numbers: [25, 9] Generated Node #0,2,4: 85:[25, 9] Operation: 25-16=9 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 85:[16, 1], Operations: ['99-74=25', '25/25=1'] Exploring Operation: 16/1=16, Resulting Numbers: [16] 16,85 unequal: No Solution Exploring Operation: 16+1=17, Resulting Numbers: [17] 17,85 unequal: No Solution Exploring Operation: 16-1=15, Resulting Numbers: [15] 15,85 unequal: No Solution Exploring Operation: 16*1=16, Resulting Numbers: [16] 16,85 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: 85:[16, 0], Operations: ['99-74=25', '25-25=0'] Exploring Operation: 16+0=16, Resulting Numbers: [16] 16,85 unequal: No Solution Exploring Operation: 16*0=0, Resulting Numbers: [0] 0,85 unequal: No Solution Exploring Operation: 16-0=16, Resulting Numbers: [16] 16,85 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: 85:[25, 9], Operations: ['99-74=25', '25-16=9'] Exploring Operation: 25-9=16, Resulting Numbers: [16] 16,85 unequal: No Solution Exploring Operation: 25*9=225, Resulting Numbers: [225] 225,85 unequal: No Solution Exploring Operation: 25+9=34, Resulting Numbers: [34] 34,85 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: 85:[25, 9], Operations: ['99-74=25', '25-16=9'] Exploring Operation: 25+9=34, Resulting Numbers: [34] 34,85 unequal: No Solution Exploring Operation: 25*9=225, Resulting Numbers: [225] 225,85 unequal: No Solution Exploring Operation: 25-9=16, Resulting Numbers: [16] 16,85 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: 85:[25, 41], Operations: ['99-74=25', '25+16=41'] Exploring Operation: 25+41=66, Resulting Numbers: [66] 66,85 unequal: No Solution Exploring Operation: 25*41=1025, Resulting Numbers: [1025] 1025,85 unequal: No Solution Exploring Operation: 41-25=16, Resulting Numbers: [16] 16,85 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: 85:[74, 25, 83], Operations: ['99-16=83'] Exploring Operation: 83-25=58, Resulting Numbers: [74, 58] Generated Node #0,3,0: 85:[74, 58] Operation: 83-25=58 Exploring Operation: 83-74=9, Resulting Numbers: [25, 9] Generated Node #0,3,1: 85:[25, 9] Operation: 83-74=9 Exploring Operation: 25+83=108, Resulting Numbers: [74, 108] Generated Node #0,3,2: 85:[74, 108] Operation: 25+83=108 Exploring Operation: 74-25=49, Resulting Numbers: [83, 49] Generated Node #0,3,3: 85:[83, 49] Operation: 74-25=49 Exploring Operation: 74+25=99, Resulting Numbers: [83, 99] Generated Node #0,3,4: 85:[83, 99] Operation: 74+25=99 Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 85:[25, 9], Operations: ['99-16=83', '83-74=9'] Exploring Operation: 25-9=16, Resulting Numbers: [16] 16,85 unequal: No Solution Exploring Operation: 25+9=34, Resulting Numbers: [34] 34,85 unequal: No Solution Exploring Operation: 25*9=225, Resulting Numbers: [225] 225,85 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: 85:[83, 99], Operations: ['99-16=83', '74+25=99'] Exploring Operation: 83*99=8217, Resulting Numbers: [8217] 8217,85 unequal: No Solution Exploring Operation: 99-83=16, Resulting Numbers: [16] 16,85 unequal: No Solution Exploring Operation: 83+99=182, Resulting Numbers: [182] 182,85 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: 85:[74, 108], Operations: ['99-16=83', '25+83=108'] Exploring Operation: 74*108=7992, Resulting Numbers: [7992] 7992,85 unequal: No Solution Exploring Operation: 108-74=34, Resulting Numbers: [34] 34,85 unequal: No Solution Exploring Operation: 74+108=182, Resulting Numbers: [182] 182,85 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: 85:[83, 49], Operations: ['99-16=83', '74-25=49'] Exploring Operation: 83*49=4067, Resulting Numbers: [4067] 4067,85 unequal: No Solution Exploring Operation: 83+49=132, Resulting Numbers: [132] 132,85 unequal: No Solution Exploring Operation: 83-49=34, Resulting Numbers: [34] 34,85 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: 85:[74, 58], Operations: ['99-16=83', '83-25=58'] Exploring Operation: 74*58=4292, Resulting Numbers: [4292] 4292,85 unequal: No Solution Exploring Operation: 74+58=132, Resulting Numbers: [132] 132,85 unequal: No Solution Exploring Operation: 74-58=16, Resulting Numbers: [16] 16,85 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: 85:[74, 16, 74], Operations: ['99-25=74'] Exploring Operation: 74/74=1, Resulting Numbers: [16, 1] Generated Node #0,1,0: 85:[16, 1] Operation: 74/74=1 Exploring Operation: 74+16=90, Resulting Numbers: [74, 90] Generated Node #0,1,1: 85:[74, 90] Operation: 74+16=90 Exploring Operation: 16+74=90, Resulting Numbers: [74, 90] Generated Node #0,1,2: 85:[74, 90] Operation: 16+74=90 Exploring Operation: 74-16=58, Resulting Numbers: [74, 58] Generated Node #0,1,3: 85:[74, 58] Operation: 74-16=58 Exploring Operation: 74-74=0, Resulting Numbers: [16, 0] Generated Node #0,1,4: 85:[16, 0] Operation: 74-74=0 Moving to Node #0,1,0 Current State: 85:[16, 1], Operations: ['99-25=74', '74/74=1'] Exploring Operation: 16+1=17, Resulting Numbers: [17] 17,85 unequal: No Solution Exploring Operation: 16/1=16, Resulting Numbers: [16] 16,85 unequal: No Solution Exploring Operation: 16-1=15, Resulting Numbers: [15] 15,85 unequal: No Solution Exploring Operation: 16*1=16, Resulting Numbers: [16] 16,85 unequal: No Solution Moving to Node #0,1,4 Current State: 85:[16, 0], Operations: ['99-25=74', '74-74=0'] Exploring Operation: 16+0=16, Resulting Numbers: [16] 16,85 unequal: No Solution Exploring Operation: 16-0=16, Resulting Numbers: [16] 16,85 unequal: No Solution Exploring Operation: 16*0=0, Resulting Numbers: [0] 0,85 unequal: No Solution Moving to Node #0,1,1 Current State: 85:[74, 90], Operations: ['99-25=74', '74+16=90'] Exploring Operation: 90-74=16, Resulting Numbers: [16] 16,85 unequal: No Solution Exploring Operation: 74*90=6660, Resulting Numbers: [6660] 6660,85 unequal: No Solution Exploring Operation: 74+90=164, Resulting Numbers: [164] 164,85 unequal: No Solution Moving to Node #0,1,2 Current State: 85:[74, 90], Operations: ['99-25=74', '16+74=90'] Exploring Operation: 74*90=6660, Resulting Numbers: [6660] 6660,85 unequal: No Solution Exploring Operation: 74+90=164, Resulting Numbers: [164] 164,85 unequal: No Solution Exploring Operation: 90-74=16, Resulting Numbers: [16] 16,85 unequal: No Solution Moving to Node #0,1,3 Current State: 85:[74, 58], Operations: ['99-25=74', '74-16=58'] Exploring Operation: 74*58=4292, Resulting Numbers: [4292] 4292,85 unequal: No Solution Exploring Operation: 74+58=132, Resulting Numbers: [132] 132,85 unequal: No Solution Exploring Operation: 74-58=16, Resulting Numbers: [16] 16,85 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 85:[25, 99, 90], Operations: ['74+16=90'] Exploring Operation: 99-25=74, Resulting Numbers: [90, 74] Generated Node #0,0,0: 85:[90, 74] Operation: 99-25=74 Exploring Operation: 90-25=65, Resulting Numbers: [99, 65] Generated Node #0,0,1: 85:[99, 65] Operation: 90-25=65 Exploring Operation: 25+99=124, Resulting Numbers: [90, 124] Generated Node #0,0,2: 85:[90, 124] Operation: 25+99=124 Exploring Operation: 25+90=115, Resulting Numbers: [99, 115] Generated Node #0,0,3: 85:[99, 115] Operation: 25+90=115 Exploring Operation: 99-90=9, Resulting Numbers: [25, 9] Generated Node #0,0,4: 85:[25, 9] Operation: 99-90=9 Moving to Node #0,0,4 Current State: 85:[25, 9], Operations: ['74+16=90', '99-90=9'] Exploring Operation: 25+9=34, Resulting Numbers: [34] 34,85 unequal: No Solution Exploring Operation: 25-9=16, Resulting Numbers: [16] 16,85 unequal: No Solution Exploring Operation: 25*9=225, Resulting Numbers: [225] 225,85 unequal: No Solution Moving to Node #0,0,0 Current State: 85:[90, 74], Operations: ['74+16=90', '99-25=74'] Exploring Operation: 90-74=16, Resulting Numbers: [16] 16,85 unequal: No Solution Exploring Operation: 90*74=6660, Resulting Numbers: [6660] 6660,85 unequal: No Solution Exploring Operation: 90+74=164, Resulting Numbers: [164] 164,85 unequal: No Solution Moving to Node #0,0,1 Current State: 85:[99, 65], Operations: ['74+16=90', '90-25=65'] Exploring Operation: 99+65=164, Resulting Numbers: [164] 164,85 unequal: No Solution Exploring Operation: 99-65=34, Resulting Numbers: [34] 34,85 unequal: No Solution Exploring Operation: 99*65=6435, Resulting Numbers: [6435] 6435,85 unequal: No Solution Moving to Node #0,0,2 Current State: 85:[90, 124], Operations: ['74+16=90', '25+99=124'] Exploring Operation: 90*124=11160, Resulting Numbers: [11160] 11160,85 unequal: No Solution Exploring Operation: 90+124=214, Resulting Numbers: [214] 214,85 unequal: No Solution Exploring Operation: 124-90=34, Resulting Numbers: [34] 34,85 unequal: No Solution Moving to Node #0,0,3 Current State: 85:[99, 115], Operations: ['74+16=90', '25+90=115'] Exploring Operation: 115-99=16, Resulting Numbers: [16] 16,85 unequal: No Solution Exploring Operation: 99*115=11385, Resulting Numbers: [11385] 11385,85 unequal: No Solution Exploring Operation: 99+115=214, Resulting Numbers: [214] 214,85 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 85:[16, 99, 99], Operations: ['74+25=99'] Exploring Operation: 99/99=1, Resulting Numbers: [16, 1] Generated Node #0,4,0: 85:[16, 1] Operation: 99/99=1 Exploring Operation: 16+99=115, Resulting Numbers: [99, 115] Generated Node #0,4,1: 85:[99, 115] Operation: 16+99=115 Exploring Operation: 99-16=83, Resulting Numbers: [99, 83] Generated Node #0,4,2: 85:[99, 83] Operation: 99-16=83 Exploring Operation: 99-99=0, Resulting Numbers: [16, 0] Generated Node #0,4,3: 85:[16, 0] Operation: 99-99=0 Exploring Operation: 99-16=83, Resulting Numbers: [99, 83] Generated Node #0,4,4: 85:[99, 83] Operation: 99-16=83 Start Sub Search at level 2: Moving to Node #0,4,0 Current State: 85:[16, 1], Operations: ['74+25=99', '99/99=1'] Exploring Operation: 16/1=16, Resulting Numbers: [16] 16,85 unequal: No Solution Exploring Operation: 16+1=17, Resulting Numbers: [17] 17,85 unequal: No Solution Exploring Operation: 16*1=16, Resulting Numbers: [16] 16,85 unequal: No Solution Exploring Operation: 16-1=15, Resulting Numbers: [15] 15,85 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: 85:[16, 0], Operations: ['74+25=99', '99-99=0'] Exploring Operation: 16*0=0, Resulting Numbers: [0] 0,85 unequal: No Solution Exploring Operation: 16+0=16, Resulting Numbers: [16] 16,85 unequal: No Solution Exploring Operation: 16-0=16, Resulting Numbers: [16] 16,85 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: 85:[99, 83], Operations: ['74+25=99', '99-16=83'] Exploring Operation: 99+83=182, Resulting Numbers: [182] 182,85 unequal: No Solution Exploring Operation: 99*83=8217, Resulting Numbers: [8217] 8217,85 unequal: No Solution Exploring Operation: 99-83=16, Resulting Numbers: [16] 16,85 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: 85:[99, 83], Operations: ['74+25=99', '99-16=83'] Exploring Operation: 99*83=8217, Resulting Numbers: [8217] 8217,85 unequal: No Solution Exploring Operation: 99-83=16, Resulting Numbers: [16] 16,85 unequal: No Solution Exploring Operation: 99+83=182, Resulting Numbers: [182] 182,85 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: 85:[99, 115], Operations: ['74+25=99', '16+99=115'] Exploring Operation: 99*115=11385, Resulting Numbers: [11385] 11385,85 unequal: No Solution Exploring Operation: 115-99=16, Resulting Numbers: [16] 16,85 unequal: No Solution Exploring Operation: 99+115=214, Resulting Numbers: [214] 214,85 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
mult_heuristic
[ 90, 68, 23, 95 ]
94
[ "90-68=22", "95-23=72", "22+72=94" ]
Current State: 94:[90, 68, 23, 95], Operations: [] Exploring Operation: 90-68=22, Resulting Numbers: [23, 95, 22] Generated Node #2: [23, 95, 22] from Operation: 90-68=22 Current State: 94:[23, 95, 22], Operations: ['90-68=22'] Exploring Operation: 95-23=72, Resulting Numbers: [22, 72] Generated Node #3: [22, 72] from Operation: 95-23=72 Current State: 94:[22, 72], Operations: ['90-68=22', '95-23=72'] Exploring Operation: 22+72=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
Current State: 94:[90, 68, 23, 95], Operations: [] Exploring Operation: 68-23=45, Resulting Numbers: [90, 95, 45] Generated Node #0,0: 94:[90, 95, 45] Operation: 68-23=45 Exploring Operation: 90-68=22, Resulting Numbers: [23, 95, 22] Generated Node #0,1: 94:[23, 95, 22] Operation: 90-68=22 Exploring Operation: 68+23=91, Resulting Numbers: [90, 95, 91] Generated Node #0,2: 94:[90, 95, 91] Operation: 68+23=91 Exploring Operation: 90-23=67, Resulting Numbers: [68, 95, 67] Generated Node #0,3: 94:[68, 95, 67] Operation: 90-23=67 Exploring Operation: 90+23=113, Resulting Numbers: [68, 95, 113] Generated Node #0,4: 94:[68, 95, 113] Operation: 90+23=113 Start Sub Search at level 1: Moving to Node #0,0 Current State: 94:[90, 95, 45], Operations: ['68-23=45'] Exploring Operation: 95-45=50, Resulting Numbers: [90, 50] Generated Node #0,0,0: 94:[90, 50] Operation: 95-45=50 Exploring Operation: 90+45=135, Resulting Numbers: [95, 135] Generated Node #0,0,1: 94:[95, 135] Operation: 90+45=135 Exploring Operation: 90/45=2, Resulting Numbers: [95, 2] Generated Node #0,0,2: 94:[95, 2] Operation: 90/45=2 Exploring Operation: 90-45=45, Resulting Numbers: [95, 45] Generated Node #0,0,3: 94:[95, 45] Operation: 90-45=45 Exploring Operation: 95-90=5, Resulting Numbers: [45, 5] Generated Node #0,0,4: 94:[45, 5] Operation: 95-90=5 Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 94:[95, 2], Operations: ['68-23=45', '90/45=2'] Exploring Operation: 95*2=190, Resulting Numbers: [190] 190,94 unequal: No Solution Exploring Operation: 95-2=93, Resulting Numbers: [93] 93,94 unequal: No Solution Exploring Operation: 95+2=97, Resulting Numbers: [97] 97,94 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: 94:[95, 45], Operations: ['68-23=45', '90-45=45'] Exploring Operation: 95-45=50, Resulting Numbers: [50] 50,94 unequal: No Solution Exploring Operation: 95*45=4275, Resulting Numbers: [4275] 4275,94 unequal: No Solution Exploring Operation: 95+45=140, Resulting Numbers: [140] 140,94 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: 94:[45, 5], Operations: ['68-23=45', '95-90=5'] Exploring Operation: 45+5=50, Resulting Numbers: [50] 50,94 unequal: No Solution Exploring Operation: 45/5=9, Resulting Numbers: [9] 9,94 unequal: No Solution Exploring Operation: 45-5=40, Resulting Numbers: [40] 40,94 unequal: No Solution Exploring Operation: 45*5=225, Resulting Numbers: [225] 225,94 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: 94:[90, 50], Operations: ['68-23=45', '95-45=50'] Exploring Operation: 90+50=140, Resulting Numbers: [140] 140,94 unequal: No Solution Exploring Operation: 90-50=40, Resulting Numbers: [40] 40,94 unequal: No Solution Exploring Operation: 90*50=4500, Resulting Numbers: [4500] 4500,94 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: 94:[95, 135], Operations: ['68-23=45', '90+45=135'] Exploring Operation: 135-95=40, Resulting Numbers: [40] 40,94 unequal: No Solution Exploring Operation: 95*135=12825, Resulting Numbers: [12825] 12825,94 unequal: No Solution Exploring Operation: 95+135=230, Resulting Numbers: [230] 230,94 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: 94:[90, 95, 91], Operations: ['68+23=91'] Exploring Operation: 90+91=181, Resulting Numbers: [95, 181] Generated Node #0,2,0: 94:[95, 181] Operation: 90+91=181 Exploring Operation: 95-90=5, Resulting Numbers: [91, 5] Generated Node #0,2,1: 94:[91, 5] Operation: 95-90=5 Exploring Operation: 95-91=4, Resulting Numbers: [90, 4] Generated Node #0,2,2: 94:[90, 4] Operation: 95-91=4 Exploring Operation: 91-90=1, Resulting Numbers: [95, 1] Generated Node #0,2,3: 94:[95, 1] Operation: 91-90=1 Exploring Operation: 90+95=185, Resulting Numbers: [91, 185] Generated Node #0,2,4: 94:[91, 185] Operation: 90+95=185 Moving to Node #0,2,3 Current State: 94:[95, 1], Operations: ['68+23=91', '91-90=1'] Exploring Operation: 95/1=95, Resulting Numbers: [95] 95,94 unequal: No Solution Exploring Operation: 95+1=96, Resulting Numbers: [96] 96,94 unequal: No Solution Exploring Operation: 95*1=95, Resulting Numbers: [95] 95,94 unequal: No Solution Exploring Operation: 95-1=94, Resulting Numbers: [94] 94,94 equal: Goal Reached Moving to Node #0 Current State: 94:[90, 68, 23, 95], Operations: [] Exploring Operation: 68+23=91, Resulting Numbers: [90, 95, 91] Generated Node #0,2: 94:[90, 95, 91] Operation: 68+23=91 Moving to Node #0,2 Current State: 94:[90, 95, 91], Operations: ['68+23=91'] Exploring Operation: 91-90=1, Resulting Numbers: [95, 1] Generated Node #0,2,3: 94:[95, 1] Operation: 91-90=1 Moving to Node #0,2,3 Current State: 94:[95, 1], Operations: ['68+23=91', '91-90=1'] Exploring Operation: 95-1=94, Resulting Numbers: [94] 94,94 equal: Goal Reached Exit Sub Search at level 1
0.966146
hs_5
sum_heuristic
[ 73, 5, 40, 93 ]
72
[ "73-40=33", "5*33=165", "165-93=72" ]
Current State: 72:[73, 5, 40, 93], Operations: [] Exploring Operation: 73-40=33, Resulting Numbers: [5, 93, 33] Generated Node #2: [5, 93, 33] from Operation: 73-40=33 Current State: 72:[5, 93, 33], Operations: ['73-40=33'] Exploring Operation: 5*33=165, Resulting Numbers: [93, 165] Generated Node #3: [93, 165] from Operation: 5*33=165 Current State: 72:[93, 165], Operations: ['73-40=33', '5*33=165'] Exploring Operation: 165-93=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
Current State: 72:[73, 5, 40, 93], Operations: [] Exploring Operation: 93-40=53, Resulting Numbers: [73, 5, 53] Generated Node #0,0: 72:[73, 5, 53] Operation: 93-40=53 Exploring Operation: 93-73=20, Resulting Numbers: [5, 40, 20] Generated Node #0,1: 72:[5, 40, 20] Operation: 93-73=20 Exploring Operation: 93-5=88, Resulting Numbers: [73, 40, 88] Generated Node #0,2: 72:[73, 40, 88] Operation: 93-5=88 Start Sub Search at level 1: Moving to Node #0,1 Current State: 72:[5, 40, 20], Operations: ['93-73=20'] Exploring Operation: 40/5=8, Resulting Numbers: [20, 8] Generated Node #0,1,0: 72:[20, 8] Operation: 40/5=8 Exploring Operation: 40/20=2, Resulting Numbers: [5, 2] Generated Node #0,1,1: 72:[5, 2] Operation: 40/20=2 Exploring Operation: 40-5=35, Resulting Numbers: [20, 35] Generated Node #0,1,2: 72:[20, 35] Operation: 40-5=35 Moving to Node #0,1,1 Current State: 72:[5, 2], Operations: ['93-73=20', '40/20=2'] Exploring Operation: 5+2=7, Resulting Numbers: [7] 7,72 unequal: No Solution Exploring Operation: 5*2=10, Resulting Numbers: [10] 10,72 unequal: No Solution Exploring Operation: 5-2=3, Resulting Numbers: [3] 3,72 unequal: No Solution Moving to Node #0,1,0 Current State: 72:[20, 8], Operations: ['93-73=20', '40/5=8'] Exploring Operation: 20-8=12, Resulting Numbers: [12] 12,72 unequal: No Solution Exploring Operation: 20*8=160, Resulting Numbers: [160] 160,72 unequal: No Solution Exploring Operation: 20+8=28, Resulting Numbers: [28] 28,72 unequal: No Solution Moving to Node #0,1,2 Current State: 72:[20, 35], Operations: ['93-73=20', '40-5=35'] Exploring Operation: 35-20=15, Resulting Numbers: [15] 15,72 unequal: No Solution Exploring Operation: 20*35=700, Resulting Numbers: [700] 700,72 unequal: No Solution Exploring Operation: 20+35=55, Resulting Numbers: [55] 55,72 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 Current State: 72:[73, 5, 53], Operations: ['93-40=53'] Exploring Operation: 5+53=58, Resulting Numbers: [73, 58] Generated Node #0,0,0: 72:[73, 58] Operation: 5+53=58 Exploring Operation: 73-53=20, Resulting Numbers: [5, 20] Generated Node #0,0,1: 72:[5, 20] Operation: 73-53=20 Exploring Operation: 53-5=48, Resulting Numbers: [73, 48] Generated Node #0,0,2: 72:[73, 48] Operation: 53-5=48 Moving to Node #0,0,1 Current State: 72:[5, 20], Operations: ['93-40=53', '73-53=20'] Exploring Operation: 20-5=15, Resulting Numbers: [15] 15,72 unequal: No Solution Exploring Operation: 20/5=4, Resulting Numbers: [4] 4,72 unequal: No Solution Exploring Operation: 5+20=25, Resulting Numbers: [25] 25,72 unequal: No Solution Moving to Node #0,0,2 Current State: 72:[73, 48], Operations: ['93-40=53', '53-5=48'] Exploring Operation: 73*48=3504, Resulting Numbers: [3504] 3504,72 unequal: No Solution Exploring Operation: 73-48=25, Resulting Numbers: [25] 25,72 unequal: No Solution Exploring Operation: 73+48=121, Resulting Numbers: [121] 121,72 unequal: No Solution Moving to Node #0,0,0 Current State: 72:[73, 58], Operations: ['93-40=53', '5+53=58'] Exploring Operation: 73*58=4234, Resulting Numbers: [4234] 4234,72 unequal: No Solution Exploring Operation: 73+58=131, Resulting Numbers: [131] 131,72 unequal: No Solution Exploring Operation: 73-58=15, Resulting Numbers: [15] 15,72 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 #0,2 Current State: 72:[73, 40, 88], Operations: ['93-5=88'] Exploring Operation: 73-40=33, Resulting Numbers: [88, 33] Generated Node #0,2,0: 72:[88, 33] Operation: 73-40=33 Exploring Operation: 88-40=48, Resulting Numbers: [73, 48] Generated Node #0,2,1: 72:[73, 48] Operation: 88-40=48 Exploring Operation: 88-73=15, Resulting Numbers: [40, 15] Generated Node #0,2,2: 72:[40, 15] Operation: 88-73=15 Moving to Node #0,2,2 Current State: 72:[40, 15], Operations: ['93-5=88', '88-73=15'] Exploring Operation: 40-15=25, Resulting Numbers: [25] 25,72 unequal: No Solution Exploring Operation: 40+15=55, Resulting Numbers: [55] 55,72 unequal: No Solution Exploring Operation: 40*15=600, Resulting Numbers: [600] 600,72 unequal: No Solution Moving to Node #0,2,1 Current State: 72:[73, 48], Operations: ['93-5=88', '88-40=48'] Exploring Operation: 73+48=121, Resulting Numbers: [121] 121,72 unequal: No Solution Exploring Operation: 73*48=3504, Resulting Numbers: [3504] 3504,72 unequal: No Solution Exploring Operation: 73-48=25, Resulting Numbers: [25] 25,72 unequal: No Solution Moving to Node #0,2,0 Current State: 72:[88, 33], Operations: ['93-5=88', '73-40=33'] Exploring Operation: 88-33=55, Resulting Numbers: [55] 55,72 unequal: No Solution Exploring Operation: 88*33=2904, Resulting Numbers: [2904] 2904,72 unequal: No Solution Exploring Operation: 88+33=121, Resulting Numbers: [121] 121,72 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
[ 54, 54, 10, 99 ]
24
[ "54-10=44", "54*44=2376", "2376/99=24" ]
Current State: 24:[54, 54, 10, 99], Operations: [] Exploring Operation: 54-10=44, Resulting Numbers: [99, 44] Generated Node #2: [99, 44] from Operation: 54-10=44 Current State: 24:[99, 44], Operations: ['54-10=44'] Exploring Operation: 54*44=2376, Resulting Numbers: [99, 2376] Generated Node #3: [99, 2376] from Operation: 54*44=2376 Current State: 24:[99, 2376], Operations: ['54-10=44', '54*44=2376'] Exploring Operation: 2376/99=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
Current State: 24:[54, 54, 10, 99], Operations: [] Exploring Operation: 99-54=45, Resulting Numbers: [54, 10, 45] Generated Node #0,0: 24:[54, 10, 45] Operation: 99-54=45 Exploring Operation: 99-54=45, Resulting Numbers: [54, 10, 45] Generated Node #0,1: 24:[54, 10, 45] Operation: 99-54=45 Start Sub Search at level 1: Moving to Node #0,0 Current State: 24:[54, 10, 45], Operations: ['99-54=45'] Exploring Operation: 54-10=44, Resulting Numbers: [45, 44] Generated Node #0,0,0: 24:[45, 44] Operation: 54-10=44 Exploring Operation: 54-45=9, Resulting Numbers: [10, 9] Generated Node #0,0,1: 24:[10, 9] Operation: 54-45=9 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 24:[10, 9], Operations: ['99-54=45', '54-45=9'] Exploring Operation: 10+9=19, Resulting Numbers: [19] 19,24 unequal: No Solution Exploring Operation: 10-9=1, Resulting Numbers: [1] 1,24 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: 24:[45, 44], Operations: ['99-54=45', '54-10=44'] Exploring Operation: 45-44=1, Resulting Numbers: [1] 1,24 unequal: No Solution Exploring Operation: 45+44=89, Resulting Numbers: [89] 89,24 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: 24:[54, 10, 45], Operations: ['99-54=45'] Exploring Operation: 54-10=44, Resulting Numbers: [45, 44] Generated Node #0,1,0: 24:[45, 44] Operation: 54-10=44 Exploring Operation: 54-45=9, Resulting Numbers: [10, 9] Generated Node #0,1,1: 24:[10, 9] Operation: 54-45=9 Moving to Node #0,1,1 Current State: 24:[10, 9], Operations: ['99-54=45', '54-45=9'] Exploring Operation: 10+9=19, Resulting Numbers: [19] 19,24 unequal: No Solution Exploring Operation: 10-9=1, Resulting Numbers: [1] 1,24 unequal: No Solution Moving to Node #0,1,0 Current State: 24:[45, 44], Operations: ['99-54=45', '54-10=44'] Exploring Operation: 45-44=1, Resulting Numbers: [1] 1,24 unequal: No Solution Exploring Operation: 45+44=89, Resulting Numbers: [89] 89,24 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
[ 13, 9, 97, 3 ]
57
[ "97-13=84", "9*3=27", "84-27=57" ]
Current State: 57:[13, 9, 97, 3], Operations: [] Exploring Operation: 97-13=84, Resulting Numbers: [9, 3, 84] Generated Node #2: [9, 3, 84] from Operation: 97-13=84 Current State: 57:[9, 3, 84], Operations: ['97-13=84'] Exploring Operation: 9*3=27, Resulting Numbers: [84, 27] Generated Node #3: [84, 27] from Operation: 9*3=27 Current State: 57:[84, 27], Operations: ['97-13=84', '9*3=27'] Exploring Operation: 84-27=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
Current State: 57:[13, 9, 97, 3], Operations: [] Exploring Operation: 13-9=4, Resulting Numbers: [97, 3, 4] Generated Node #0,0: 57:[97, 3, 4] Operation: 13-9=4 Exploring Operation: 97-13=84, Resulting Numbers: [9, 3, 84] Generated Node #0,1: 57:[9, 3, 84] Operation: 97-13=84 Exploring Operation: 9/3=3, Resulting Numbers: [13, 97, 3] Generated Node #0,2: 57:[13, 97, 3] Operation: 9/3=3 Exploring Operation: 13+9=22, Resulting Numbers: [97, 3, 22] Generated Node #0,3: 57:[97, 3, 22] Operation: 13+9=22 Exploring Operation: 97-9=88, Resulting Numbers: [13, 3, 88] Generated Node #0,4: 57:[13, 3, 88] Operation: 97-9=88 Start Sub Search at level 1: Moving to Node #0,1 Current State: 57:[9, 3, 84], Operations: ['97-13=84'] Exploring Operation: 84/3=28, Resulting Numbers: [9, 28] Generated Node #0,1,0: 57:[9, 28] Operation: 84/3=28 Exploring Operation: 84-9=75, Resulting Numbers: [3, 75] Generated Node #0,1,1: 57:[3, 75] Operation: 84-9=75 Exploring Operation: 9-3=6, Resulting Numbers: [84, 6] Generated Node #0,1,2: 57:[84, 6] Operation: 9-3=6 Exploring Operation: 84-3=81, Resulting Numbers: [9, 81] Generated Node #0,1,3: 57:[9, 81] Operation: 84-3=81 Exploring Operation: 9/3=3, Resulting Numbers: [84, 3] Generated Node #0,1,4: 57:[84, 3] Operation: 9/3=3 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 57:[9, 28], Operations: ['97-13=84', '84/3=28'] Exploring Operation: 9*28=252, Resulting Numbers: [252] 252,57 unequal: No Solution Exploring Operation: 9+28=37, Resulting Numbers: [37] 37,57 unequal: No Solution Exploring Operation: 28-9=19, Resulting Numbers: [19] 19,57 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: 57:[3, 75], Operations: ['97-13=84', '84-9=75'] Exploring Operation: 75-3=72, Resulting Numbers: [72] 72,57 unequal: No Solution Exploring Operation: 3*75=225, Resulting Numbers: [225] 225,57 unequal: No Solution Exploring Operation: 75/3=25, Resulting Numbers: [25] 25,57 unequal: No Solution Exploring Operation: 3+75=78, Resulting Numbers: [78] 78,57 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: 57:[84, 3], Operations: ['97-13=84', '9/3=3'] Exploring Operation: 84-3=81, Resulting Numbers: [81] 81,57 unequal: No Solution Exploring Operation: 84/3=28, Resulting Numbers: [28] 28,57 unequal: No Solution Exploring Operation: 84+3=87, Resulting Numbers: [87] 87,57 unequal: No Solution Exploring Operation: 84*3=252, Resulting Numbers: [252] 252,57 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: 57:[84, 6], Operations: ['97-13=84', '9-3=6'] Exploring Operation: 84-6=78, Resulting Numbers: [78] 78,57 unequal: No Solution Exploring Operation: 84*6=504, Resulting Numbers: [504] 504,57 unequal: No Solution Exploring Operation: 84/6=14, Resulting Numbers: [14] 14,57 unequal: No Solution Exploring Operation: 84+6=90, Resulting Numbers: [90] 90,57 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: 57:[9, 81], Operations: ['97-13=84', '84-3=81'] Exploring Operation: 9+81=90, Resulting Numbers: [90] 90,57 unequal: No Solution Exploring Operation: 9*81=729, Resulting Numbers: [729] 729,57 unequal: No Solution Exploring Operation: 81/9=9, Resulting Numbers: [9] 9,57 unequal: No Solution Exploring Operation: 81-9=72, Resulting Numbers: [72] 72,57 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 57:[13, 3, 88], Operations: ['97-9=88'] Exploring Operation: 13+3=16, Resulting Numbers: [88, 16] Generated Node #0,4,0: 57:[88, 16] Operation: 13+3=16 Exploring Operation: 3+88=91, Resulting Numbers: [13, 91] Generated Node #0,4,1: 57:[13, 91] Operation: 3+88=91 Exploring Operation: 88-13=75, Resulting Numbers: [3, 75] Generated Node #0,4,2: 57:[3, 75] Operation: 88-13=75 Exploring Operation: 13-3=10, Resulting Numbers: [88, 10] Generated Node #0,4,3: 57:[88, 10] Operation: 13-3=10 Exploring Operation: 88-3=85, Resulting Numbers: [13, 85] Generated Node #0,4,4: 57:[13, 85] Operation: 88-3=85 Start Sub Search at level 2: Moving to Node #0,4,2 Current State: 57:[3, 75], Operations: ['97-9=88', '88-13=75'] Exploring Operation: 75-3=72, Resulting Numbers: [72] 72,57 unequal: No Solution Exploring Operation: 3+75=78, Resulting Numbers: [78] 78,57 unequal: No Solution Exploring Operation: 75/3=25, Resulting Numbers: [25] 25,57 unequal: No Solution Exploring Operation: 3*75=225, Resulting Numbers: [225] 225,57 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: 57:[88, 16], Operations: ['97-9=88', '13+3=16'] Exploring Operation: 88+16=104, Resulting Numbers: [104] 104,57 unequal: No Solution Exploring Operation: 88-16=72, Resulting Numbers: [72] 72,57 unequal: No Solution Exploring Operation: 88*16=1408, Resulting Numbers: [1408] 1408,57 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: 57:[13, 85], Operations: ['97-9=88', '88-3=85'] Exploring Operation: 13+85=98, Resulting Numbers: [98] 98,57 unequal: No Solution Exploring Operation: 13*85=1105, Resulting Numbers: [1105] 1105,57 unequal: No Solution Exploring Operation: 85-13=72, Resulting Numbers: [72] 72,57 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: 57:[88, 10], Operations: ['97-9=88', '13-3=10'] Exploring Operation: 88-10=78, Resulting Numbers: [78] 78,57 unequal: No Solution Exploring Operation: 88*10=880, Resulting Numbers: [880] 880,57 unequal: No Solution Exploring Operation: 88+10=98, Resulting Numbers: [98] 98,57 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: 57:[13, 91], Operations: ['97-9=88', '3+88=91'] Exploring Operation: 91/13=7, Resulting Numbers: [7] 7,57 unequal: No Solution Exploring Operation: 13+91=104, Resulting Numbers: [104] 104,57 unequal: No Solution Exploring Operation: 91-13=78, Resulting Numbers: [78] 78,57 unequal: No Solution Exploring Operation: 13*91=1183, Resulting Numbers: [1183] 1183,57 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 57:[97, 3, 4], Operations: ['13-9=4'] Exploring Operation: 97+4=101, Resulting Numbers: [3, 101] Generated Node #0,0,0: 57:[3, 101] Operation: 97+4=101 Exploring Operation: 97+3=100, Resulting Numbers: [4, 100] Generated Node #0,0,1: 57:[4, 100] Operation: 97+3=100 Exploring Operation: 4-3=1, Resulting Numbers: [97, 1] Generated Node #0,0,2: 57:[97, 1] Operation: 4-3=1 Exploring Operation: 97-4=93, Resulting Numbers: [3, 93] Generated Node #0,0,3: 57:[3, 93] Operation: 97-4=93 Exploring Operation: 97-3=94, Resulting Numbers: [4, 94] Generated Node #0,0,4: 57:[4, 94] Operation: 97-3=94 Moving to Node #0,0,3 Current State: 57:[3, 93], Operations: ['13-9=4', '97-4=93'] Exploring Operation: 3*93=279, Resulting Numbers: [279] 279,57 unequal: No Solution Exploring Operation: 93-3=90, Resulting Numbers: [90] 90,57 unequal: No Solution Exploring Operation: 3+93=96, Resulting Numbers: [96] 96,57 unequal: No Solution Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,57 unequal: No Solution Moving to Node #0,0,4 Current State: 57:[4, 94], Operations: ['13-9=4', '97-3=94'] Exploring Operation: 94-4=90, Resulting Numbers: [90] 90,57 unequal: No Solution Exploring Operation: 4*94=376, Resulting Numbers: [376] 376,57 unequal: No Solution Exploring Operation: 4+94=98, Resulting Numbers: [98] 98,57 unequal: No Solution Moving to Node #0,0,2 Current State: 57:[97, 1], Operations: ['13-9=4', '4-3=1'] Exploring Operation: 97*1=97, Resulting Numbers: [97] 97,57 unequal: No Solution Exploring Operation: 97+1=98, Resulting Numbers: [98] 98,57 unequal: No Solution Exploring Operation: 97-1=96, Resulting Numbers: [96] 96,57 unequal: No Solution Exploring Operation: 97/1=97, Resulting Numbers: [97] 97,57 unequal: No Solution Moving to Node #0,0,0 Current State: 57:[3, 101], Operations: ['13-9=4', '97+4=101'] Exploring Operation: 101-3=98, Resulting Numbers: [98] 98,57 unequal: No Solution Exploring Operation: 3*101=303, Resulting Numbers: [303] 303,57 unequal: No Solution Exploring Operation: 3+101=104, Resulting Numbers: [104] 104,57 unequal: No Solution Moving to Node #0,0,1 Current State: 57:[4, 100], Operations: ['13-9=4', '97+3=100'] Exploring Operation: 100/4=25, Resulting Numbers: [25] 25,57 unequal: No Solution Exploring Operation: 4+100=104, Resulting Numbers: [104] 104,57 unequal: No Solution Exploring Operation: 100-4=96, Resulting Numbers: [96] 96,57 unequal: No Solution Exploring Operation: 4*100=400, Resulting Numbers: [400] 400,57 unequal: No Solution No 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: 57:[97, 3, 22], Operations: ['13+9=22'] Exploring Operation: 97-3=94, Resulting Numbers: [22, 94] Generated Node #0,3,0: 57:[22, 94] Operation: 97-3=94 Exploring Operation: 22-3=19, Resulting Numbers: [97, 19] Generated Node #0,3,1: 57:[97, 19] Operation: 22-3=19 Exploring Operation: 3+22=25, Resulting Numbers: [97, 25] Generated Node #0,3,2: 57:[97, 25] Operation: 3+22=25 Exploring Operation: 97-22=75, Resulting Numbers: [3, 75] Generated Node #0,3,3: 57:[3, 75] Operation: 97-22=75 Exploring Operation: 97+3=100, Resulting Numbers: [22, 100] Generated Node #0,3,4: 57:[22, 100] Operation: 97+3=100 Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 57:[3, 75], Operations: ['13+9=22', '97-22=75'] Exploring Operation: 75/3=25, Resulting Numbers: [25] 25,57 unequal: No Solution Exploring Operation: 75-3=72, Resulting Numbers: [72] 72,57 unequal: No Solution Exploring Operation: 3*75=225, Resulting Numbers: [225] 225,57 unequal: No Solution Exploring Operation: 3+75=78, Resulting Numbers: [78] 78,57 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: 57:[22, 94], Operations: ['13+9=22', '97-3=94'] Exploring Operation: 22*94=2068, Resulting Numbers: [2068] 2068,57 unequal: No Solution Exploring Operation: 22+94=116, Resulting Numbers: [116] 116,57 unequal: No Solution Exploring Operation: 94-22=72, Resulting Numbers: [72] 72,57 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: 57:[97, 19], Operations: ['13+9=22', '22-3=19'] Exploring Operation: 97*19=1843, Resulting Numbers: [1843] 1843,57 unequal: No Solution Exploring Operation: 97-19=78, Resulting Numbers: [78] 78,57 unequal: No Solution Exploring Operation: 97+19=116, Resulting Numbers: [116] 116,57 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: 57:[97, 25], Operations: ['13+9=22', '3+22=25'] Exploring Operation: 97+25=122, Resulting Numbers: [122] 122,57 unequal: No Solution Exploring Operation: 97*25=2425, Resulting Numbers: [2425] 2425,57 unequal: No Solution Exploring Operation: 97-25=72, Resulting Numbers: [72] 72,57 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: 57:[22, 100], Operations: ['13+9=22', '97+3=100'] Exploring Operation: 22*100=2200, Resulting Numbers: [2200] 2200,57 unequal: No Solution Exploring Operation: 22+100=122, Resulting Numbers: [122] 122,57 unequal: No Solution Exploring Operation: 100-22=78, Resulting Numbers: [78] 78,57 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 57:[13, 97, 3], Operations: ['9/3=3'] Exploring Operation: 13-3=10, Resulting Numbers: [97, 10] Generated Node #0,2,0: 57:[97, 10] Operation: 13-3=10 Exploring Operation: 97-13=84, Resulting Numbers: [3, 84] Generated Node #0,2,1: 57:[3, 84] Operation: 97-13=84 Exploring Operation: 97+3=100, Resulting Numbers: [13, 100] Generated Node #0,2,2: 57:[13, 100] Operation: 97+3=100 Exploring Operation: 13+3=16, Resulting Numbers: [97, 16] Generated Node #0,2,3: 57:[97, 16] Operation: 13+3=16 Exploring Operation: 97-3=94, Resulting Numbers: [13, 94] Generated Node #0,2,4: 57:[13, 94] Operation: 97-3=94 Moving to Node #0,2,1 Current State: 57:[3, 84], Operations: ['9/3=3', '97-13=84'] Exploring Operation: 3*84=252, Resulting Numbers: [252] 252,57 unequal: No Solution Exploring Operation: 84-3=81, Resulting Numbers: [81] 81,57 unequal: No Solution Exploring Operation: 3+84=87, Resulting Numbers: [87] 87,57 unequal: No Solution Exploring Operation: 84/3=28, Resulting Numbers: [28] 28,57 unequal: No Solution Moving to Node #0,2,4 Current State: 57:[13, 94], Operations: ['9/3=3', '97-3=94'] Exploring Operation: 13+94=107, Resulting Numbers: [107] 107,57 unequal: No Solution Exploring Operation: 94-13=81, Resulting Numbers: [81] 81,57 unequal: No Solution Exploring Operation: 13*94=1222, Resulting Numbers: [1222] 1222,57 unequal: No Solution Moving to Node #0,2,3 Current State: 57:[97, 16], Operations: ['9/3=3', '13+3=16'] Exploring Operation: 97-16=81, Resulting Numbers: [81] 81,57 unequal: No Solution Exploring Operation: 97*16=1552, Resulting Numbers: [1552] 1552,57 unequal: No Solution Exploring Operation: 97+16=113, Resulting Numbers: [113] 113,57 unequal: No Solution Moving to Node #0,2,0 Current State: 57:[97, 10], Operations: ['9/3=3', '13-3=10'] Exploring Operation: 97+10=107, Resulting Numbers: [107] 107,57 unequal: No Solution Exploring Operation: 97*10=970, Resulting Numbers: [970] 970,57 unequal: No Solution Exploring Operation: 97-10=87, Resulting Numbers: [87] 87,57 unequal: No Solution Moving to Node #0,2,2 Current State: 57:[13, 100], Operations: ['9/3=3', '97+3=100'] Exploring Operation: 100-13=87, Resulting Numbers: [87] 87,57 unequal: No Solution Exploring Operation: 13*100=1300, Resulting Numbers: [1300] 1300,57 unequal: No Solution Exploring Operation: 13+100=113, Resulting Numbers: [113] 113,57 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
[ 62, 23, 49, 25 ]
15
[ "62-23=39", "49-25=24", "39-24=15" ]
Current State: 15:[62, 23, 49, 25], Operations: [] Exploring Operation: 62-23=39, Resulting Numbers: [49, 25, 39] Generated Node #2: [49, 25, 39] from Operation: 62-23=39 Current State: 15:[49, 25, 39], Operations: ['62-23=39'] Exploring Operation: 49-25=24, Resulting Numbers: [39, 24] Generated Node #3: [39, 24] from Operation: 49-25=24 Current State: 15:[39, 24], Operations: ['62-23=39', '49-25=24'] Exploring Operation: 39-24=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
Current State: 15:[62, 23, 49, 25], Operations: [] Exploring Operation: 62-25=37, Resulting Numbers: [23, 49, 37] Generated Node #0,0: 15:[23, 49, 37] Operation: 62-25=37 Exploring Operation: 49-23=26, Resulting Numbers: [62, 25, 26] Generated Node #0,1: 15:[62, 25, 26] Operation: 49-23=26 Exploring Operation: 49-25=24, Resulting Numbers: [62, 23, 24] Generated Node #0,2: 15:[62, 23, 24] Operation: 49-25=24 Exploring Operation: 62-23=39, Resulting Numbers: [49, 25, 39] Generated Node #0,3: 15:[49, 25, 39] Operation: 62-23=39 Exploring Operation: 62-49=13, Resulting Numbers: [23, 25, 13] Generated Node #0,4: 15:[23, 25, 13] Operation: 62-49=13 Moving to Node #0,4 Current State: 15:[23, 25, 13], Operations: ['62-49=13'] Exploring Operation: 23-13=10, Resulting Numbers: [25, 10] Generated Node #0,4,0: 15:[25, 10] Operation: 23-13=10 Exploring Operation: 25+13=38, Resulting Numbers: [23, 38] Generated Node #0,4,1: 15:[23, 38] Operation: 25+13=38 Exploring Operation: 23+13=36, Resulting Numbers: [25, 36] Generated Node #0,4,2: 15:[25, 36] Operation: 23+13=36 Exploring Operation: 25-13=12, Resulting Numbers: [23, 12] Generated Node #0,4,3: 15:[23, 12] Operation: 25-13=12 Exploring Operation: 25-23=2, Resulting Numbers: [13, 2] Generated Node #0,4,4: 15:[13, 2] Operation: 25-23=2 Moving to Node #0,2 Current State: 15:[62, 23, 24], Operations: ['49-25=24'] Exploring Operation: 62-23=39, Resulting Numbers: [24, 39] Generated Node #0,2,0: 15:[24, 39] Operation: 62-23=39 Exploring Operation: 24-23=1, Resulting Numbers: [62, 1] Generated Node #0,2,1: 15:[62, 1] Operation: 24-23=1 Exploring Operation: 62-24=38, Resulting Numbers: [23, 38] Generated Node #0,2,2: 15:[23, 38] Operation: 62-24=38 Exploring Operation: 62+23=85, Resulting Numbers: [24, 85] Generated Node #0,2,3: 15:[24, 85] Operation: 62+23=85 Exploring Operation: 62+24=86, Resulting Numbers: [23, 86] Generated Node #0,2,4: 15:[23, 86] Operation: 62+24=86 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 15:[23, 38], Operations: ['49-25=24', '62-24=38'] Exploring Operation: 38-23=15, Resulting Numbers: [15] 15,15 equal: Goal Reached Moving to Node #0 Current State: 15:[62, 23, 49, 25], Operations: [] Exploring Operation: 49-25=24, Resulting Numbers: [62, 23, 24] Generated Node #0,2: 15:[62, 23, 24] Operation: 49-25=24 Moving to Node #0,2 Current State: 15:[62, 23, 24], Operations: ['49-25=24'] Exploring Operation: 62-24=38, Resulting Numbers: [23, 38] Generated Node #0,2,2: 15:[23, 38] Operation: 62-24=38 Moving to Node #0,2,2 Current State: 15:[23, 38], Operations: ['49-25=24', '62-24=38'] Exploring Operation: 38-23=15, Resulting Numbers: [15] 15,15 equal: Goal Reached Exit Sub Search at level 1
0.982639
hs_5
mult_heuristic
[ 14, 21, 23, 92 ]
34
[ "14+21=35", "92-23=69", "69-35=34" ]
Current State: 34:[14, 21, 23, 92], Operations: [] Exploring Operation: 14+21=35, Resulting Numbers: [23, 92, 35] Generated Node #2: [23, 92, 35] from Operation: 14+21=35 Current State: 34:[23, 92, 35], Operations: ['14+21=35'] Exploring Operation: 92-23=69, Resulting Numbers: [35, 69] Generated Node #3: [35, 69] from Operation: 92-23=69 Current State: 34:[35, 69], Operations: ['14+21=35', '92-23=69'] Exploring Operation: 69-35=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
Current State: 34:[14, 21, 23, 92], Operations: [] Exploring Operation: 92/23=4, Resulting Numbers: [14, 21, 4] Generated Node #0,0: 34:[14, 21, 4] Operation: 92/23=4 Exploring Operation: 92-14=78, Resulting Numbers: [21, 23, 78] Generated Node #0,1: 34:[21, 23, 78] Operation: 92-14=78 Exploring Operation: 23-21=2, Resulting Numbers: [14, 92, 2] Generated Node #0,2: 34:[14, 92, 2] Operation: 23-21=2 Exploring Operation: 92-21=71, Resulting Numbers: [14, 23, 71] Generated Node #0,3: 34:[14, 23, 71] Operation: 92-21=71 Exploring Operation: 92-23=69, Resulting Numbers: [14, 21, 69] Generated Node #0,4: 34:[14, 21, 69] Operation: 92-23=69 Start Sub Search at level 1: Moving to Node #0,0 Current State: 34:[14, 21, 4], Operations: ['92/23=4'] Exploring Operation: 14+21=35, Resulting Numbers: [4, 35] Generated Node #0,0,0: 34:[4, 35] Operation: 14+21=35 Exploring Operation: 21-4=17, Resulting Numbers: [14, 17] Generated Node #0,0,1: 34:[14, 17] Operation: 21-4=17 Exploring Operation: 14-4=10, Resulting Numbers: [21, 10] Generated Node #0,0,2: 34:[21, 10] Operation: 14-4=10 Exploring Operation: 21-14=7, Resulting Numbers: [4, 7] Generated Node #0,0,3: 34:[4, 7] Operation: 21-14=7 Exploring Operation: 14+4=18, Resulting Numbers: [21, 18] Generated Node #0,0,4: 34:[21, 18] Operation: 14+4=18 Moving to Node #0,0,0 Current State: 34:[4, 35], Operations: ['92/23=4', '14+21=35'] Exploring Operation: 4+35=39, Resulting Numbers: [39] 39,34 unequal: No Solution Exploring Operation: 4*35=140, Resulting Numbers: [140] 140,34 unequal: No Solution Exploring Operation: 35-4=31, Resulting Numbers: [31] 31,34 unequal: No Solution Moving to Node #0,0,1 Current State: 34:[14, 17], Operations: ['92/23=4', '21-4=17'] Exploring Operation: 14+17=31, Resulting Numbers: [31] 31,34 unequal: No Solution Exploring Operation: 17-14=3, Resulting Numbers: [3] 3,34 unequal: No Solution Exploring Operation: 14*17=238, Resulting Numbers: [238] 238,34 unequal: No Solution Moving to Node #0,0,4 Current State: 34:[21, 18], Operations: ['92/23=4', '14+4=18'] Exploring Operation: 21+18=39, Resulting Numbers: [39] 39,34 unequal: No Solution Exploring Operation: 21-18=3, Resulting Numbers: [3] 3,34 unequal: No Solution Exploring Operation: 21*18=378, Resulting Numbers: [378] 378,34 unequal: No Solution Moving to Node #0,0,3 Current State: 34:[4, 7], Operations: ['92/23=4', '21-14=7'] Exploring Operation: 7-4=3, Resulting Numbers: [3] 3,34 unequal: No Solution Exploring Operation: 4*7=28, Resulting Numbers: [28] 28,34 unequal: No Solution Exploring Operation: 4+7=11, Resulting Numbers: [11] 11,34 unequal: No Solution Moving to Node #0,0,2 Current State: 34:[21, 10], Operations: ['92/23=4', '14-4=10'] Exploring Operation: 21*10=210, Resulting Numbers: [210] 210,34 unequal: No Solution Exploring Operation: 21-10=11, Resulting Numbers: [11] 11,34 unequal: No Solution Exploring Operation: 21+10=31, Resulting Numbers: [31] 31,34 unequal: No Solution No 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: 34:[14, 21, 69], Operations: ['92-23=69'] Exploring Operation: 14+21=35, Resulting Numbers: [69, 35] Generated Node #0,4,0: 34:[69, 35] Operation: 14+21=35 Exploring Operation: 69-14=55, Resulting Numbers: [21, 55] Generated Node #0,4,1: 34:[21, 55] Operation: 69-14=55 Exploring Operation: 14+69=83, Resulting Numbers: [21, 83] Generated Node #0,4,2: 34:[21, 83] Operation: 14+69=83 Exploring Operation: 21-14=7, Resulting Numbers: [69, 7] Generated Node #0,4,3: 34:[69, 7] Operation: 21-14=7 Exploring Operation: 69-21=48, Resulting Numbers: [14, 48] Generated Node #0,4,4: 34:[14, 48] Operation: 69-21=48 Start Sub Search at level 2: Moving to Node #0,4,4 Current State: 34:[14, 48], Operations: ['92-23=69', '69-21=48'] Exploring Operation: 14*48=672, Resulting Numbers: [672] 672,34 unequal: No Solution Exploring Operation: 48-14=34, Resulting Numbers: [34] 34,34 equal: Goal Reached Moving to Node #0 Current State: 34:[14, 21, 23, 92], Operations: [] Exploring Operation: 92-23=69, Resulting Numbers: [14, 21, 69] Generated Node #0,4: 34:[14, 21, 69] Operation: 92-23=69 Moving to Node #0,4 Current State: 34:[14, 21, 69], Operations: ['92-23=69'] Exploring Operation: 69-21=48, Resulting Numbers: [14, 48] Generated Node #0,4,4: 34:[14, 48] Operation: 69-21=48 Moving to Node #0,4,4 Current State: 34:[14, 48], Operations: ['92-23=69', '69-21=48'] Exploring Operation: 48-14=34, Resulting Numbers: [34] 34,34 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.96875
hs_5
mult_heuristic
[ 3, 36, 17, 69 ]
90
[ "36+17=53", "3*53=159", "159-69=90" ]
Current State: 90:[3, 36, 17, 69], Operations: [] Exploring Operation: 36+17=53, Resulting Numbers: [3, 69, 53] Generated Node #2: [3, 69, 53] from Operation: 36+17=53 Current State: 90:[3, 69, 53], Operations: ['36+17=53'] Exploring Operation: 3*53=159, Resulting Numbers: [69, 159] Generated Node #3: [69, 159] from Operation: 3*53=159 Current State: 90:[69, 159], Operations: ['36+17=53', '3*53=159'] Exploring Operation: 159-69=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
Current State: 90:[3, 36, 17, 69], Operations: [] Exploring Operation: 69-17=52, Resulting Numbers: [3, 36, 52] Generated Node #0,0: 90:[3, 36, 52] Operation: 69-17=52 Exploring Operation: 17+69=86, Resulting Numbers: [3, 36, 86] Generated Node #0,1: 90:[3, 36, 86] Operation: 17+69=86 Exploring Operation: 69-36=33, Resulting Numbers: [3, 17, 33] Generated Node #0,2: 90:[3, 17, 33] Operation: 69-36=33 Exploring Operation: 69/3=23, Resulting Numbers: [36, 17, 23] Generated Node #0,3: 90:[36, 17, 23] Operation: 69/3=23 Start Sub Search at level 1: Moving to Node #0,2 Current State: 90:[3, 17, 33], Operations: ['69-36=33'] Exploring Operation: 17-3=14, Resulting Numbers: [33, 14] Generated Node #0,2,0: 90:[33, 14] Operation: 17-3=14 Exploring Operation: 33/3=11, Resulting Numbers: [17, 11] Generated Node #0,2,1: 90:[17, 11] Operation: 33/3=11 Exploring Operation: 33-3=30, Resulting Numbers: [17, 30] Generated Node #0,2,2: 90:[17, 30] Operation: 33-3=30 Exploring Operation: 33-17=16, Resulting Numbers: [3, 16] Generated Node #0,2,3: 90:[3, 16] Operation: 33-17=16 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 90:[17, 30], Operations: ['69-36=33', '33-3=30'] Exploring Operation: 17*30=510, Resulting Numbers: [510] 510,90 unequal: No Solution Exploring Operation: 17+30=47, Resulting Numbers: [47] 47,90 unequal: No Solution Exploring Operation: 30-17=13, Resulting Numbers: [13] 13,90 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: 90:[3, 16], Operations: ['69-36=33', '33-17=16'] Exploring Operation: 3+16=19, Resulting Numbers: [19] 19,90 unequal: No Solution Exploring Operation: 16-3=13, Resulting Numbers: [13] 13,90 unequal: No Solution Exploring Operation: 3*16=48, Resulting Numbers: [48] 48,90 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: 90:[17, 11], Operations: ['69-36=33', '33/3=11'] Exploring Operation: 17-11=6, Resulting Numbers: [6] 6,90 unequal: No Solution Exploring Operation: 17*11=187, Resulting Numbers: [187] 187,90 unequal: No Solution Exploring Operation: 17+11=28, Resulting Numbers: [28] 28,90 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: 90:[33, 14], Operations: ['69-36=33', '17-3=14'] Exploring Operation: 33+14=47, Resulting Numbers: [47] 47,90 unequal: No Solution Exploring Operation: 33*14=462, Resulting Numbers: [462] 462,90 unequal: No Solution Exploring Operation: 33-14=19, Resulting Numbers: [19] 19,90 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: 90:[3, 36, 86], Operations: ['17+69=86'] Exploring Operation: 36-3=33, Resulting Numbers: [86, 33] Generated Node #0,1,0: 90:[86, 33] Operation: 36-3=33 Exploring Operation: 86-36=50, Resulting Numbers: [3, 50] Generated Node #0,1,1: 90:[3, 50] Operation: 86-36=50 Exploring Operation: 36/3=12, Resulting Numbers: [86, 12] Generated Node #0,1,2: 90:[86, 12] Operation: 36/3=12 Exploring Operation: 3+86=89, Resulting Numbers: [36, 89] Generated Node #0,1,3: 90:[36, 89] Operation: 3+86=89 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 90:[3, 50], Operations: ['17+69=86', '86-36=50'] Exploring Operation: 3*50=150, Resulting Numbers: [150] 150,90 unequal: No Solution Exploring Operation: 3+50=53, Resulting Numbers: [53] 53,90 unequal: No Solution Exploring Operation: 50-3=47, Resulting Numbers: [47] 47,90 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: 90:[86, 12], Operations: ['17+69=86', '36/3=12'] Exploring Operation: 86+12=98, Resulting Numbers: [98] 98,90 unequal: No Solution Exploring Operation: 86*12=1032, Resulting Numbers: [1032] 1032,90 unequal: No Solution Exploring Operation: 86-12=74, Resulting Numbers: [74] 74,90 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: 90:[86, 33], Operations: ['17+69=86', '36-3=33'] Exploring Operation: 86+33=119, Resulting Numbers: [119] 119,90 unequal: No Solution Exploring Operation: 86*33=2838, Resulting Numbers: [2838] 2838,90 unequal: No Solution Exploring Operation: 86-33=53, Resulting Numbers: [53] 53,90 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: 90:[36, 89], Operations: ['17+69=86', '3+86=89'] Exploring Operation: 36*89=3204, Resulting Numbers: [3204] 3204,90 unequal: No Solution Exploring Operation: 89-36=53, Resulting Numbers: [53] 53,90 unequal: No Solution Exploring Operation: 36+89=125, Resulting Numbers: [125] 125,90 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: 90:[36, 17, 23], Operations: ['69/3=23'] Exploring Operation: 17+23=40, Resulting Numbers: [36, 40] Generated Node #0,3,0: 90:[36, 40] Operation: 17+23=40 Exploring Operation: 36-17=19, Resulting Numbers: [23, 19] Generated Node #0,3,1: 90:[23, 19] Operation: 36-17=19 Exploring Operation: 23-17=6, Resulting Numbers: [36, 6] Generated Node #0,3,2: 90:[36, 6] Operation: 23-17=6 Exploring Operation: 36-23=13, Resulting Numbers: [17, 13] Generated Node #0,3,3: 90:[17, 13] Operation: 36-23=13 Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 90:[17, 13], Operations: ['69/3=23', '36-23=13'] Exploring Operation: 17*13=221, Resulting Numbers: [221] 221,90 unequal: No Solution Exploring Operation: 17+13=30, Resulting Numbers: [30] 30,90 unequal: No Solution Exploring Operation: 17-13=4, Resulting Numbers: [4] 4,90 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: 90:[23, 19], Operations: ['69/3=23', '36-17=19'] Exploring Operation: 23+19=42, Resulting Numbers: [42] 42,90 unequal: No Solution Exploring Operation: 23*19=437, Resulting Numbers: [437] 437,90 unequal: No Solution Exploring Operation: 23-19=4, Resulting Numbers: [4] 4,90 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: 90:[36, 6], Operations: ['69/3=23', '23-17=6'] Exploring Operation: 36-6=30, Resulting Numbers: [30] 30,90 unequal: No Solution Exploring Operation: 36*6=216, Resulting Numbers: [216] 216,90 unequal: No Solution Exploring Operation: 36+6=42, Resulting Numbers: [42] 42,90 unequal: No Solution Exploring Operation: 36/6=6, Resulting Numbers: [6] 6,90 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: 90:[36, 40], Operations: ['69/3=23', '17+23=40'] Exploring Operation: 36+40=76, Resulting Numbers: [76] 76,90 unequal: No Solution Exploring Operation: 36*40=1440, Resulting Numbers: [1440] 1440,90 unequal: No Solution Exploring Operation: 40-36=4, Resulting Numbers: [4] 4,90 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: 90:[3, 36, 52], Operations: ['69-17=52'] Exploring Operation: 52-36=16, Resulting Numbers: [3, 16] Generated Node #0,0,0: 90:[3, 16] Operation: 52-36=16 Exploring Operation: 36+52=88, Resulting Numbers: [3, 88] Generated Node #0,0,1: 90:[3, 88] Operation: 36+52=88 Exploring Operation: 36/3=12, Resulting Numbers: [52, 12] Generated Node #0,0,2: 90:[52, 12] Operation: 36/3=12 Exploring Operation: 36-3=33, Resulting Numbers: [52, 33] Generated Node #0,0,3: 90:[52, 33] Operation: 36-3=33 Moving to Node #0,0,0 Current State: 90:[3, 16], Operations: ['69-17=52', '52-36=16'] Exploring Operation: 3+16=19, Resulting Numbers: [19] 19,90 unequal: No Solution Exploring Operation: 16-3=13, Resulting Numbers: [13] 13,90 unequal: No Solution Exploring Operation: 3*16=48, Resulting Numbers: [48] 48,90 unequal: No Solution Moving to Node #0,0,1 Current State: 90:[3, 88], Operations: ['69-17=52', '36+52=88'] Exploring Operation: 3+88=91, Resulting Numbers: [91] 91,90 unequal: No Solution Exploring Operation: 88-3=85, Resulting Numbers: [85] 85,90 unequal: No Solution Exploring Operation: 3*88=264, Resulting Numbers: [264] 264,90 unequal: No Solution Moving to Node #0,0,2 Current State: 90:[52, 12], Operations: ['69-17=52', '36/3=12'] Exploring Operation: 52+12=64, Resulting Numbers: [64] 64,90 unequal: No Solution Exploring Operation: 52*12=624, Resulting Numbers: [624] 624,90 unequal: No Solution Exploring Operation: 52-12=40, Resulting Numbers: [40] 40,90 unequal: No Solution Moving to Node #0,0,3 Current State: 90:[52, 33], Operations: ['69-17=52', '36-3=33'] Exploring Operation: 52-33=19, Resulting Numbers: [19] 19,90 unequal: No Solution Exploring Operation: 52*33=1716, Resulting Numbers: [1716] 1716,90 unequal: No Solution Exploring Operation: 52+33=85, Resulting Numbers: [85] 85,90 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
[ 59, 86, 2, 32 ]
91
[ "86-59=27", "2*32=64", "27+64=91" ]
Current State: 91:[59, 86, 2, 32], Operations: [] Exploring Operation: 86-59=27, Resulting Numbers: [2, 32, 27] Generated Node #2: [2, 32, 27] from Operation: 86-59=27 Current State: 91:[2, 32, 27], Operations: ['86-59=27'] Exploring Operation: 2*32=64, Resulting Numbers: [27, 64] Generated Node #3: [27, 64] from Operation: 2*32=64 Current State: 91:[27, 64], Operations: ['86-59=27', '2*32=64'] Exploring Operation: 27+64=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
Current State: 91:[59, 86, 2, 32], Operations: [] Exploring Operation: 59+32=91, Resulting Numbers: [86, 2, 91] Generated Node #0,0: 91:[86, 2, 91] Operation: 59+32=91 Moving to Node #0,0 Current State: 91:[86, 2, 91], Operations: ['59+32=91'] Exploring Operation: 86+2=88, Resulting Numbers: [91, 88] Generated Node #0,0,0: 91:[91, 88] Operation: 86+2=88 Moving to Node #0,0,0 Current State: 91:[91, 88], Operations: ['59+32=91', '86+2=88'] Exploring Operation: 91-88=3, Resulting Numbers: [3] 3,91 unequal: No Solution No solution found.
0
hs_1
sum_heuristic
[ 74, 93, 8, 9 ]
80
[ "93-74=19", "19-9=10", "8*10=80" ]
Current State: 80:[74, 93, 8, 9], Operations: [] Exploring Operation: 93-74=19, Resulting Numbers: [8, 9, 19] Generated Node #2: [8, 9, 19] from Operation: 93-74=19 Current State: 80:[8, 9, 19], Operations: ['93-74=19'] Exploring Operation: 19-9=10, Resulting Numbers: [8, 10] Generated Node #3: [8, 10] from Operation: 19-9=10 Current State: 80:[8, 10], Operations: ['93-74=19', '19-9=10'] Exploring Operation: 8*10=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
Current State: 80:[74, 93, 8, 9], Operations: [] Exploring Operation: 93-74=19, Resulting Numbers: [8, 9, 19] Generated Node #0,0: 80:[8, 9, 19] Operation: 93-74=19 Exploring Operation: 93-9=84, Resulting Numbers: [74, 8, 84] Generated Node #0,1: 80:[74, 8, 84] Operation: 93-9=84 Moving to Node #0,0 Current State: 80:[8, 9, 19], Operations: ['93-74=19'] Exploring Operation: 8+9=17, Resulting Numbers: [19, 17] Generated Node #0,0,0: 80:[19, 17] Operation: 8+9=17 Exploring Operation: 19-9=10, Resulting Numbers: [8, 10] Generated Node #0,0,1: 80:[8, 10] Operation: 19-9=10 Moving to Node #0,1 Current State: 80:[74, 8, 84], Operations: ['93-9=84'] Exploring Operation: 74+8=82, Resulting Numbers: [84, 82] Generated Node #0,1,0: 80:[84, 82] Operation: 74+8=82 Exploring Operation: 84-74=10, Resulting Numbers: [8, 10] Generated Node #0,1,1: 80:[8, 10] Operation: 84-74=10 Moving to Node #0,0,1 Current State: 80:[8, 10], Operations: ['93-74=19', '19-9=10'] Exploring Operation: 10-8=2, Resulting Numbers: [2] 2,80 unequal: No Solution Exploring Operation: 8*10=80, Resulting Numbers: [80] 80,80 equal: Goal Reached Moving to Node #0 Current State: 80:[74, 93, 8, 9], Operations: [] Exploring Operation: 93-74=19, Resulting Numbers: [8, 9, 19] Generated Node #0,0: 80:[8, 9, 19] Operation: 93-74=19 Moving to Node #0,0 Current State: 80:[8, 9, 19], Operations: ['93-74=19'] Exploring Operation: 19-9=10, Resulting Numbers: [8, 10] Generated Node #0,0,1: 80:[8, 10] Operation: 19-9=10 Moving to Node #0,0,1 Current State: 80:[8, 10], Operations: ['93-74=19', '19-9=10'] Exploring Operation: 8*10=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
0.989583
hs_2
mult_heuristic
[ 58, 3, 12, 75 ]
64
[ "75-3=72", "72/12=6", "58+6=64" ]
Current State: 64:[58, 3, 12, 75], Operations: [] Exploring Operation: 75-3=72, Resulting Numbers: [58, 12, 72] Generated Node #2: [58, 12, 72] from Operation: 75-3=72 Current State: 64:[58, 12, 72], Operations: ['75-3=72'] Exploring Operation: 72/12=6, Resulting Numbers: [58, 6] Generated Node #3: [58, 6] from Operation: 72/12=6 Current State: 64:[58, 6], Operations: ['75-3=72', '72/12=6'] Exploring Operation: 58+6=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
Current State: 64:[58, 3, 12, 75], Operations: [] Exploring Operation: 75-58=17, Resulting Numbers: [3, 12, 17] Generated Node #0,0: 64:[3, 12, 17] Operation: 75-58=17 Moving to Node #0,0 Current State: 64:[3, 12, 17], Operations: ['75-58=17'] Exploring Operation: 12/3=4, Resulting Numbers: [17, 4] Generated Node #0,0,0: 64:[17, 4] Operation: 12/3=4 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 64:[17, 4], Operations: ['75-58=17', '12/3=4'] Exploring Operation: 17-4=13, Resulting Numbers: [13] 13,64 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
[ 20, 29, 85, 8 ]
46
[ "20*8=160", "29+85=114", "160-114=46" ]
Current State: 46:[20, 29, 85, 8], Operations: [] Exploring Operation: 20*8=160, Resulting Numbers: [29, 85, 160] Generated Node #2: [29, 85, 160] from Operation: 20*8=160 Current State: 46:[29, 85, 160], Operations: ['20*8=160'] Exploring Operation: 29+85=114, Resulting Numbers: [160, 114] Generated Node #3: [160, 114] from Operation: 29+85=114 Current State: 46:[160, 114], Operations: ['20*8=160', '29+85=114'] Exploring Operation: 160-114=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
Current State: 46:[20, 29, 85, 8], Operations: [] Exploring Operation: 85-8=77, Resulting Numbers: [20, 29, 77] Generated Node #0,0: 46:[20, 29, 77] Operation: 85-8=77 Exploring Operation: 29-8=21, Resulting Numbers: [20, 85, 21] Generated Node #0,1: 46:[20, 85, 21] Operation: 29-8=21 Exploring Operation: 85-20=65, Resulting Numbers: [29, 8, 65] Generated Node #0,2: 46:[29, 8, 65] Operation: 85-20=65 Exploring Operation: 85-29=56, Resulting Numbers: [20, 8, 56] Generated Node #0,3: 46:[20, 8, 56] Operation: 85-29=56 Moving to Node #0,3 Current State: 46:[20, 8, 56], Operations: ['85-29=56'] Exploring Operation: 56-20=36, Resulting Numbers: [8, 36] Generated Node #0,3,0: 46:[8, 36] Operation: 56-20=36 Exploring Operation: 56-8=48, Resulting Numbers: [20, 48] Generated Node #0,3,1: 46:[20, 48] Operation: 56-8=48 Exploring Operation: 20+8=28, Resulting Numbers: [56, 28] Generated Node #0,3,2: 46:[56, 28] Operation: 20+8=28 Exploring Operation: 56/8=7, Resulting Numbers: [20, 7] Generated Node #0,3,3: 46:[20, 7] Operation: 56/8=7 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 46:[20, 48], Operations: ['85-29=56', '56-8=48'] Exploring Operation: 20*48=960, Resulting Numbers: [960] 960,46 unequal: No Solution Exploring Operation: 48-20=28, Resulting Numbers: [28] 28,46 unequal: No Solution Exploring Operation: 20+48=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 #0,3,3 Current State: 46:[20, 7], Operations: ['85-29=56', '56/8=7'] Exploring Operation: 20*7=140, Resulting Numbers: [140] 140,46 unequal: No Solution Exploring Operation: 20+7=27, Resulting Numbers: [27] 27,46 unequal: No Solution Exploring Operation: 20-7=13, Resulting Numbers: [13] 13,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 46:[56, 28], Operations: ['85-29=56', '20+8=28'] Exploring Operation: 56-28=28, Resulting Numbers: [28] 28,46 unequal: No Solution Exploring Operation: 56/28=2, Resulting Numbers: [2] 2,46 unequal: No Solution Exploring Operation: 56*28=1568, Resulting Numbers: [1568] 1568,46 unequal: No Solution Exploring Operation: 56+28=84, Resulting Numbers: [84] 84,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 46:[8, 36], Operations: ['85-29=56', '56-20=36'] Exploring Operation: 36-8=28, Resulting Numbers: [28] 28,46 unequal: No Solution Exploring Operation: 8*36=288, Resulting Numbers: [288] 288,46 unequal: No Solution Exploring Operation: 8+36=44, Resulting Numbers: [44] 44,46 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: 46:[29, 8, 65], Operations: ['85-20=65'] Exploring Operation: 29-8=21, Resulting Numbers: [65, 21] Generated Node #0,2,0: 46:[65, 21] Operation: 29-8=21 Exploring Operation: 29+8=37, Resulting Numbers: [65, 37] Generated Node #0,2,1: 46:[65, 37] Operation: 29+8=37 Exploring Operation: 65-8=57, Resulting Numbers: [29, 57] Generated Node #0,2,2: 46:[29, 57] Operation: 65-8=57 Exploring Operation: 65-29=36, Resulting Numbers: [8, 36] Generated Node #0,2,3: 46:[8, 36] Operation: 65-29=36 Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 46:[8, 36], Operations: ['85-20=65', '65-29=36'] Exploring Operation: 8+36=44, Resulting Numbers: [44] 44,46 unequal: No Solution Exploring Operation: 36-8=28, Resulting Numbers: [28] 28,46 unequal: No Solution Exploring Operation: 8*36=288, Resulting Numbers: [288] 288,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 46:[29, 57], Operations: ['85-20=65', '65-8=57'] Exploring Operation: 29+57=86, Resulting Numbers: [86] 86,46 unequal: No Solution Exploring Operation: 29*57=1653, Resulting Numbers: [1653] 1653,46 unequal: No Solution Exploring Operation: 57-29=28, Resulting Numbers: [28] 28,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 46:[65, 21], Operations: ['85-20=65', '29-8=21'] Exploring Operation: 65+21=86, Resulting Numbers: [86] 86,46 unequal: No Solution Exploring Operation: 65-21=44, Resulting Numbers: [44] 44,46 unequal: No Solution Exploring Operation: 65*21=1365, Resulting Numbers: [1365] 1365,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 46:[65, 37], Operations: ['85-20=65', '29+8=37'] Exploring Operation: 65*37=2405, Resulting Numbers: [2405] 2405,46 unequal: No Solution Exploring Operation: 65-37=28, Resulting Numbers: [28] 28,46 unequal: No Solution Exploring Operation: 65+37=102, Resulting Numbers: [102] 102,46 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: 46:[20, 29, 77], Operations: ['85-8=77'] Exploring Operation: 29-20=9, Resulting Numbers: [77, 9] Generated Node #0,0,0: 46:[77, 9] Operation: 29-20=9 Exploring Operation: 77-29=48, Resulting Numbers: [20, 48] Generated Node #0,0,1: 46:[20, 48] Operation: 77-29=48 Exploring Operation: 77-20=57, Resulting Numbers: [29, 57] Generated Node #0,0,2: 46:[29, 57] Operation: 77-20=57 Exploring Operation: 20+29=49, Resulting Numbers: [77, 49] Generated Node #0,0,3: 46:[77, 49] Operation: 20+29=49 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 46:[20, 48], Operations: ['85-8=77', '77-29=48'] Exploring Operation: 20+48=68, Resulting Numbers: [68] 68,46 unequal: No Solution Exploring Operation: 48-20=28, Resulting Numbers: [28] 28,46 unequal: No Solution Exploring Operation: 20*48=960, Resulting Numbers: [960] 960,46 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 #0,0,2 Current State: 46:[29, 57], Operations: ['85-8=77', '77-20=57'] Exploring Operation: 57-29=28, Resulting Numbers: [28] 28,46 unequal: No Solution Exploring Operation: 29*57=1653, Resulting Numbers: [1653] 1653,46 unequal: No Solution Exploring Operation: 29+57=86, Resulting Numbers: [86] 86,46 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 #0,0,3 Current State: 46:[77, 49], Operations: ['85-8=77', '20+29=49'] Exploring Operation: 77+49=126, Resulting Numbers: [126] 126,46 unequal: No Solution Exploring Operation: 77-49=28, Resulting Numbers: [28] 28,46 unequal: No Solution Exploring Operation: 77*49=3773, Resulting Numbers: [3773] 3773,46 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 #0,0,0 Current State: 46:[77, 9], Operations: ['85-8=77', '29-20=9'] Exploring Operation: 77-9=68, Resulting Numbers: [68] 68,46 unequal: No Solution Exploring Operation: 77+9=86, Resulting Numbers: [86] 86,46 unequal: No Solution Exploring Operation: 77*9=693, Resulting Numbers: [693] 693,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 46:[20, 85, 21], Operations: ['29-8=21'] Exploring Operation: 85-21=64, Resulting Numbers: [20, 64] Generated Node #0,1,0: 46:[20, 64] Operation: 85-21=64 Exploring Operation: 21-20=1, Resulting Numbers: [85, 1] Generated Node #0,1,1: 46:[85, 1] Operation: 21-20=1 Exploring Operation: 85-20=65, Resulting Numbers: [21, 65] Generated Node #0,1,2: 46:[21, 65] Operation: 85-20=65 Exploring Operation: 20+21=41, Resulting Numbers: [85, 41] Generated Node #0,1,3: 46:[85, 41] Operation: 20+21=41 Moving to Node #0,1,0 Current State: 46:[20, 64], Operations: ['29-8=21', '85-21=64'] Exploring Operation: 64-20=44, Resulting Numbers: [44] 44,46 unequal: No Solution Exploring Operation: 20+64=84, Resulting Numbers: [84] 84,46 unequal: No Solution Exploring Operation: 20*64=1280, Resulting Numbers: [1280] 1280,46 unequal: No Solution Moving to Node #0,1,2 Current State: 46:[21, 65], Operations: ['29-8=21', '85-20=65'] Exploring Operation: 21+65=86, Resulting Numbers: [86] 86,46 unequal: No Solution Exploring Operation: 65-21=44, Resulting Numbers: [44] 44,46 unequal: No Solution Exploring Operation: 21*65=1365, Resulting Numbers: [1365] 1365,46 unequal: No Solution Moving to Node #0,1,1 Current State: 46:[85, 1], Operations: ['29-8=21', '21-20=1'] Exploring Operation: 85/1=85, Resulting Numbers: [85] 85,46 unequal: No Solution Exploring Operation: 85-1=84, Resulting Numbers: [84] 84,46 unequal: No Solution Exploring Operation: 85+1=86, Resulting Numbers: [86] 86,46 unequal: No Solution Exploring Operation: 85*1=85, Resulting Numbers: [85] 85,46 unequal: No Solution Moving to Node #0,1,3 Current State: 46:[85, 41], Operations: ['29-8=21', '20+21=41'] Exploring Operation: 85-41=44, Resulting Numbers: [44] 44,46 unequal: No Solution Exploring Operation: 85*41=3485, Resulting Numbers: [3485] 3485,46 unequal: No Solution Exploring Operation: 85+41=126, Resulting Numbers: [126] 126,46 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 36, 68, 39, 52 ]
59
[ "68-36=32", "39+52=91", "91-32=59" ]
Current State: 59:[36, 68, 39, 52], Operations: [] Exploring Operation: 68-36=32, Resulting Numbers: [39, 52, 32] Generated Node #2: [39, 52, 32] from Operation: 68-36=32 Current State: 59:[39, 52, 32], Operations: ['68-36=32'] Exploring Operation: 39+52=91, Resulting Numbers: [32, 91] Generated Node #3: [32, 91] from Operation: 39+52=91 Current State: 59:[32, 91], Operations: ['68-36=32', '39+52=91'] Exploring Operation: 91-32=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
Current State: 59:[36, 68, 39, 52], Operations: [] Exploring Operation: 68-36=32, Resulting Numbers: [39, 52, 32] Generated Node #0,0: 59:[39, 52, 32] Operation: 68-36=32 Exploring Operation: 36+39=75, Resulting Numbers: [68, 52, 75] Generated Node #0,1: 59:[68, 52, 75] Operation: 36+39=75 Moving to Node #0,1 Current State: 59:[68, 52, 75], Operations: ['36+39=75'] Exploring Operation: 75-52=23, Resulting Numbers: [68, 23] Generated Node #0,1,0: 59:[68, 23] Operation: 75-52=23 Exploring Operation: 68-52=16, Resulting Numbers: [75, 16] Generated Node #0,1,1: 59:[75, 16] Operation: 68-52=16 Moving to Node #0,0 Current State: 59:[39, 52, 32], Operations: ['68-36=32'] Exploring Operation: 52+32=84, Resulting Numbers: [39, 84] Generated Node #0,0,0: 59:[39, 84] Operation: 52+32=84 Exploring Operation: 39+32=71, Resulting Numbers: [52, 71] Generated Node #0,0,1: 59:[52, 71] Operation: 39+32=71 Moving to Node #0,0,1 Current State: 59:[52, 71], Operations: ['68-36=32', '39+32=71'] Exploring Operation: 71-52=19, Resulting Numbers: [19] 19,59 unequal: No Solution Exploring Operation: 52+71=123, Resulting Numbers: [123] 123,59 unequal: No Solution Moving to Node #0,1,0 Current State: 59:[68, 23], Operations: ['36+39=75', '75-52=23'] Exploring Operation: 68+23=91, Resulting Numbers: [91] 91,59 unequal: No Solution Exploring Operation: 68-23=45, Resulting Numbers: [45] 45,59 unequal: No Solution Moving to Node #0,0,0 Current State: 59:[39, 84], Operations: ['68-36=32', '52+32=84'] Exploring Operation: 39+84=123, Resulting Numbers: [123] 123,59 unequal: No Solution Exploring Operation: 84-39=45, Resulting Numbers: [45] 45,59 unequal: No Solution Moving to Node #0,1,1 Current State: 59:[75, 16], Operations: ['36+39=75', '68-52=16'] Exploring Operation: 75-16=59, Resulting Numbers: [59] 59,59 equal: Goal Reached Moving to Node #0 Current State: 59:[36, 68, 39, 52], Operations: [] Exploring Operation: 36+39=75, Resulting Numbers: [68, 52, 75] Generated Node #0,1: 59:[68, 52, 75] Operation: 36+39=75 Moving to Node #0,1 Current State: 59:[68, 52, 75], Operations: ['36+39=75'] Exploring Operation: 68-52=16, Resulting Numbers: [75, 16] Generated Node #0,1,1: 59:[75, 16] Operation: 68-52=16 Moving to Node #0,1,1 Current State: 59:[75, 16], Operations: ['36+39=75', '68-52=16'] Exploring Operation: 75-16=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
0.985243
hs_2
mult_heuristic
[ 10, 14, 64, 29 ]
96
[ "29-14=15", "64*15=960", "960/10=96" ]
Current State: 96:[10, 14, 64, 29], Operations: [] Exploring Operation: 29-14=15, Resulting Numbers: [10, 64, 15] Generated Node #2: [10, 64, 15] from Operation: 29-14=15 Current State: 96:[10, 64, 15], Operations: ['29-14=15'] Exploring Operation: 64*15=960, Resulting Numbers: [10, 960] Generated Node #3: [10, 960] from Operation: 64*15=960 Current State: 96:[10, 960], Operations: ['29-14=15', '64*15=960'] Exploring Operation: 960/10=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
Current State: 96:[10, 14, 64, 29], Operations: [] Exploring Operation: 64+29=93, Resulting Numbers: [10, 14, 93] Generated Node #0,0: 96:[10, 14, 93] Operation: 64+29=93 Exploring Operation: 64-14=50, Resulting Numbers: [10, 29, 50] Generated Node #0,1: 96:[10, 29, 50] Operation: 64-14=50 Exploring Operation: 64-10=54, Resulting Numbers: [14, 29, 54] Generated Node #0,2: 96:[14, 29, 54] Operation: 64-10=54 Exploring Operation: 64-29=35, Resulting Numbers: [10, 14, 35] Generated Node #0,3: 96:[10, 14, 35] Operation: 64-29=35 Start Sub Search at level 1: Moving to Node #0,0 Current State: 96:[10, 14, 93], Operations: ['64+29=93'] Exploring Operation: 10+93=103, Resulting Numbers: [14, 103] Generated Node #0,0,0: 96:[14, 103] Operation: 10+93=103 Exploring Operation: 14+93=107, Resulting Numbers: [10, 107] Generated Node #0,0,1: 96:[10, 107] Operation: 14+93=107 Exploring Operation: 14-10=4, Resulting Numbers: [93, 4] Generated Node #0,0,2: 96:[93, 4] Operation: 14-10=4 Exploring Operation: 10+14=24, Resulting Numbers: [93, 24] Generated Node #0,0,3: 96:[93, 24] Operation: 10+14=24 Moving to Node #0,0,2 Current State: 96:[93, 4], Operations: ['64+29=93', '14-10=4'] Exploring Operation: 93*4=372, Resulting Numbers: [372] 372,96 unequal: No Solution Exploring Operation: 93-4=89, Resulting Numbers: [89] 89,96 unequal: No Solution Exploring Operation: 93+4=97, Resulting Numbers: [97] 97,96 unequal: No Solution Moving to Node #0,0,3 Current State: 96:[93, 24], Operations: ['64+29=93', '10+14=24'] Exploring Operation: 93+24=117, Resulting Numbers: [117] 117,96 unequal: No Solution Exploring Operation: 93*24=2232, Resulting Numbers: [2232] 2232,96 unequal: No Solution Exploring Operation: 93-24=69, Resulting Numbers: [69] 69,96 unequal: No Solution Moving to Node #0,0,0 Current State: 96:[14, 103], Operations: ['64+29=93', '10+93=103'] Exploring Operation: 14+103=117, Resulting Numbers: [117] 117,96 unequal: No Solution Exploring Operation: 14*103=1442, Resulting Numbers: [1442] 1442,96 unequal: No Solution Exploring Operation: 103-14=89, Resulting Numbers: [89] 89,96 unequal: No Solution Moving to Node #0,0,1 Current State: 96:[10, 107], Operations: ['64+29=93', '14+93=107'] Exploring Operation: 10+107=117, Resulting Numbers: [117] 117,96 unequal: No Solution Exploring Operation: 107-10=97, Resulting Numbers: [97] 97,96 unequal: No Solution Exploring Operation: 10*107=1070, Resulting Numbers: [1070] 1070,96 unequal: No Solution No 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: 96:[10, 29, 50], Operations: ['64-14=50'] Exploring Operation: 50/10=5, Resulting Numbers: [29, 5] Generated Node #0,1,0: 96:[29, 5] Operation: 50/10=5 Exploring Operation: 10+29=39, Resulting Numbers: [50, 39] Generated Node #0,1,1: 96:[50, 39] Operation: 10+29=39 Exploring Operation: 50-29=21, Resulting Numbers: [10, 21] Generated Node #0,1,2: 96:[10, 21] Operation: 50-29=21 Exploring Operation: 29-10=19, Resulting Numbers: [50, 19] Generated Node #0,1,3: 96:[50, 19] Operation: 29-10=19 Moving to Node #0,1,0 Current State: 96:[29, 5], Operations: ['64-14=50', '50/10=5'] Exploring Operation: 29*5=145, Resulting Numbers: [145] 145,96 unequal: No Solution Exploring Operation: 29-5=24, Resulting Numbers: [24] 24,96 unequal: No Solution Exploring Operation: 29+5=34, Resulting Numbers: [34] 34,96 unequal: No Solution Moving to Node #0,1,3 Current State: 96:[50, 19], Operations: ['64-14=50', '29-10=19'] Exploring Operation: 50+19=69, Resulting Numbers: [69] 69,96 unequal: No Solution Exploring Operation: 50*19=950, Resulting Numbers: [950] 950,96 unequal: No Solution Exploring Operation: 50-19=31, Resulting Numbers: [31] 31,96 unequal: No Solution Moving to Node #0,1,2 Current State: 96:[10, 21], Operations: ['64-14=50', '50-29=21'] Exploring Operation: 10*21=210, Resulting Numbers: [210] 210,96 unequal: No Solution Exploring Operation: 21-10=11, Resulting Numbers: [11] 11,96 unequal: No Solution Exploring Operation: 10+21=31, Resulting Numbers: [31] 31,96 unequal: No Solution Moving to Node #0,1,1 Current State: 96:[50, 39], Operations: ['64-14=50', '10+29=39'] Exploring Operation: 50*39=1950, Resulting Numbers: [1950] 1950,96 unequal: No Solution Exploring Operation: 50-39=11, Resulting Numbers: [11] 11,96 unequal: No Solution Exploring Operation: 50+39=89, Resulting Numbers: [89] 89,96 unequal: No Solution No 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: 96:[10, 14, 35], Operations: ['64-29=35'] Exploring Operation: 14-10=4, Resulting Numbers: [35, 4] Generated Node #0,3,0: 96:[35, 4] Operation: 14-10=4 Exploring Operation: 14+35=49, Resulting Numbers: [10, 49] Generated Node #0,3,1: 96:[10, 49] Operation: 14+35=49 Exploring Operation: 35-10=25, Resulting Numbers: [14, 25] Generated Node #0,3,2: 96:[14, 25] Operation: 35-10=25 Exploring Operation: 10+14=24, Resulting Numbers: [35, 24] Generated Node #0,3,3: 96:[35, 24] Operation: 10+14=24 Moving to Node #0,3,0 Current State: 96:[35, 4], Operations: ['64-29=35', '14-10=4'] Exploring Operation: 35*4=140, Resulting Numbers: [140] 140,96 unequal: No Solution Exploring Operation: 35+4=39, Resulting Numbers: [39] 39,96 unequal: No Solution Exploring Operation: 35-4=31, Resulting Numbers: [31] 31,96 unequal: No Solution Moving to Node #0,3,2 Current State: 96:[14, 25], Operations: ['64-29=35', '35-10=25'] Exploring Operation: 25-14=11, Resulting Numbers: [11] 11,96 unequal: No Solution Exploring Operation: 14*25=350, Resulting Numbers: [350] 350,96 unequal: No Solution Exploring Operation: 14+25=39, Resulting Numbers: [39] 39,96 unequal: No Solution Moving to Node #0,3,1 Current State: 96:[10, 49], Operations: ['64-29=35', '14+35=49'] Exploring Operation: 10+49=59, Resulting Numbers: [59] 59,96 unequal: No Solution Exploring Operation: 49-10=39, Resulting Numbers: [39] 39,96 unequal: No Solution Exploring Operation: 10*49=490, Resulting Numbers: [490] 490,96 unequal: No Solution Moving to Node #0,3,3 Current State: 96:[35, 24], Operations: ['64-29=35', '10+14=24'] Exploring Operation: 35+24=59, Resulting Numbers: [59] 59,96 unequal: No Solution Exploring Operation: 35*24=840, Resulting Numbers: [840] 840,96 unequal: No Solution Exploring Operation: 35-24=11, Resulting Numbers: [11] 11,96 unequal: No Solution No 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: 96:[14, 29, 54], Operations: ['64-10=54'] Exploring Operation: 54-14=40, Resulting Numbers: [29, 40] Generated Node #0,2,0: 96:[29, 40] Operation: 54-14=40 Exploring Operation: 14+29=43, Resulting Numbers: [54, 43] Generated Node #0,2,1: 96:[54, 43] Operation: 14+29=43 Exploring Operation: 29-14=15, Resulting Numbers: [54, 15] Generated Node #0,2,2: 96:[54, 15] Operation: 29-14=15 Exploring Operation: 54-29=25, Resulting Numbers: [14, 25] Generated Node #0,2,3: 96:[14, 25] Operation: 54-29=25 Moving to Node #0,2,3 Current State: 96:[14, 25], Operations: ['64-10=54', '54-29=25'] Exploring Operation: 14+25=39, Resulting Numbers: [39] 39,96 unequal: No Solution Exploring Operation: 14*25=350, Resulting Numbers: [350] 350,96 unequal: No Solution Exploring Operation: 25-14=11, Resulting Numbers: [11] 11,96 unequal: No Solution Moving to Node #0,2,2 Current State: 96:[54, 15], Operations: ['64-10=54', '29-14=15'] Exploring Operation: 54-15=39, Resulting Numbers: [39] 39,96 unequal: No Solution Exploring Operation: 54*15=810, Resulting Numbers: [810] 810,96 unequal: No Solution Exploring Operation: 54+15=69, Resulting Numbers: [69] 69,96 unequal: No Solution Moving to Node #0,2,1 Current State: 96:[54, 43], Operations: ['64-10=54', '14+29=43'] Exploring Operation: 54-43=11, Resulting Numbers: [11] 11,96 unequal: No Solution Exploring Operation: 54+43=97, Resulting Numbers: [97] 97,96 unequal: No Solution Exploring Operation: 54*43=2322, Resulting Numbers: [2322] 2322,96 unequal: No Solution Moving to Node #0,2,0 Current State: 96:[29, 40], Operations: ['64-10=54', '54-14=40'] Exploring Operation: 40-29=11, Resulting Numbers: [11] 11,96 unequal: No Solution Exploring Operation: 29*40=1160, Resulting Numbers: [1160] 1160,96 unequal: No Solution Exploring Operation: 29+40=69, Resulting Numbers: [69] 69,96 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
sum_heuristic
[ 2, 22, 68, 29 ]
41
[ "68/2=34", "29-22=7", "34+7=41" ]
Current State: 41:[2, 22, 68, 29], Operations: [] Exploring Operation: 68/2=34, Resulting Numbers: [22, 29, 34] Generated Node #2: [22, 29, 34] from Operation: 68/2=34 Current State: 41:[22, 29, 34], Operations: ['68/2=34'] Exploring Operation: 29-22=7, Resulting Numbers: [34, 7] Generated Node #3: [34, 7] from Operation: 29-22=7 Current State: 41:[34, 7], Operations: ['68/2=34', '29-22=7'] Exploring Operation: 34+7=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
Current State: 41:[2, 22, 68, 29], Operations: [] Exploring Operation: 2*22=44, Resulting Numbers: [68, 29, 44] Generated Node #0,0: 41:[68, 29, 44] Operation: 2*22=44 Exploring Operation: 68/2=34, Resulting Numbers: [22, 29, 34] Generated Node #0,1: 41:[22, 29, 34] Operation: 68/2=34 Exploring Operation: 2+22=24, Resulting Numbers: [68, 29, 24] Generated Node #0,2: 41:[68, 29, 24] Operation: 2+22=24 Start Sub Search at level 1: Moving to Node #0,1 Current State: 41:[22, 29, 34], Operations: ['68/2=34'] Exploring Operation: 22+34=56, Resulting Numbers: [29, 56] Generated Node #0,1,0: 41:[29, 56] Operation: 22+34=56 Exploring Operation: 22+29=51, Resulting Numbers: [34, 51] Generated Node #0,1,1: 41:[34, 51] Operation: 22+29=51 Exploring Operation: 29-22=7, Resulting Numbers: [34, 7] Generated Node #0,1,2: 41:[34, 7] Operation: 29-22=7 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 41:[34, 51], Operations: ['68/2=34', '22+29=51'] Exploring Operation: 51-34=17, Resulting Numbers: [17] 17,41 unequal: No Solution Exploring Operation: 34+51=85, Resulting Numbers: [85] 85,41 unequal: No Solution Exploring Operation: 34*51=1734, Resulting Numbers: [1734] 1734,41 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 41:[29, 56], Operations: ['68/2=34', '22+34=56'] Exploring Operation: 29*56=1624, Resulting Numbers: [1624] 1624,41 unequal: No Solution Exploring Operation: 29+56=85, Resulting Numbers: [85] 85,41 unequal: No Solution Exploring Operation: 56-29=27, Resulting Numbers: [27] 27,41 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 41:[34, 7], Operations: ['68/2=34', '29-22=7'] Exploring Operation: 34*7=238, Resulting Numbers: [238] 238,41 unequal: No Solution Exploring Operation: 34+7=41, Resulting Numbers: [41] 41,41 equal: Goal Reached Moving to Node #0 Current State: 41:[2, 22, 68, 29], Operations: [] Exploring Operation: 68/2=34, Resulting Numbers: [22, 29, 34] Generated Node #0,1: 41:[22, 29, 34] Operation: 68/2=34 Moving to Node #0,1 Current State: 41:[22, 29, 34], Operations: ['68/2=34'] Exploring Operation: 29-22=7, Resulting Numbers: [34, 7] Generated Node #0,1,2: 41:[34, 7] Operation: 29-22=7 Moving to Node #0,1,2 Current State: 41:[34, 7], Operations: ['68/2=34', '29-22=7'] Exploring Operation: 34+7=41, Resulting Numbers: [41] 41,41 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.984375
hs_3
mult_heuristic
[ 75, 42, 73, 25 ]
34
[ "75-73=2", "42-25=17", "2*17=34" ]
Current State: 34:[75, 42, 73, 25], Operations: [] Exploring Operation: 75-73=2, Resulting Numbers: [42, 25, 2] Generated Node #2: [42, 25, 2] from Operation: 75-73=2 Current State: 34:[42, 25, 2], Operations: ['75-73=2'] Exploring Operation: 42-25=17, Resulting Numbers: [2, 17] Generated Node #3: [2, 17] from Operation: 42-25=17 Current State: 34:[2, 17], Operations: ['75-73=2', '42-25=17'] Exploring Operation: 2*17=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
Current State: 34:[75, 42, 73, 25], Operations: [] Exploring Operation: 75-25=50, Resulting Numbers: [42, 73, 50] Generated Node #0,0: 34:[42, 73, 50] Operation: 75-25=50 Exploring Operation: 75-42=33, Resulting Numbers: [73, 25, 33] Generated Node #0,1: 34:[73, 25, 33] Operation: 75-42=33 Exploring Operation: 75-73=2, Resulting Numbers: [42, 25, 2] Generated Node #0,2: 34:[42, 25, 2] Operation: 75-73=2 Exploring Operation: 73-42=31, Resulting Numbers: [75, 25, 31] Generated Node #0,3: 34:[75, 25, 31] Operation: 73-42=31 Exploring Operation: 75/25=3, Resulting Numbers: [42, 73, 3] Generated Node #0,4: 34:[42, 73, 3] Operation: 75/25=3 Start Sub Search at level 1: Moving to Node #0,2 Current State: 34:[42, 25, 2], Operations: ['75-73=2'] Exploring Operation: 42-2=40, Resulting Numbers: [25, 40] Generated Node #0,2,0: 34:[25, 40] Operation: 42-2=40 Exploring Operation: 25-2=23, Resulting Numbers: [42, 23] Generated Node #0,2,1: 34:[42, 23] Operation: 25-2=23 Exploring Operation: 25+2=27, Resulting Numbers: [42, 27] Generated Node #0,2,2: 34:[42, 27] Operation: 25+2=27 Exploring Operation: 42/2=21, Resulting Numbers: [25, 21] Generated Node #0,2,3: 34:[25, 21] Operation: 42/2=21 Exploring Operation: 42-25=17, Resulting Numbers: [2, 17] Generated Node #0,2,4: 34:[2, 17] Operation: 42-25=17 Start Sub Search at level 2: Moving to Node #0,2,4 Current State: 34:[2, 17], Operations: ['75-73=2', '42-25=17'] Exploring Operation: 17-2=15, Resulting Numbers: [15] 15,34 unequal: No Solution Exploring Operation: 2+17=19, Resulting Numbers: [19] 19,34 unequal: No Solution Exploring Operation: 2*17=34, Resulting Numbers: [34] 34,34 equal: Goal Reached Moving to Node #0 Current State: 34:[75, 42, 73, 25], Operations: [] Exploring Operation: 75-73=2, Resulting Numbers: [42, 25, 2] Generated Node #0,2: 34:[42, 25, 2] Operation: 75-73=2 Moving to Node #0,2 Current State: 34:[42, 25, 2], Operations: ['75-73=2'] Exploring Operation: 42-25=17, Resulting Numbers: [2, 17] Generated Node #0,2,4: 34:[2, 17] Operation: 42-25=17 Moving to Node #0,2,4 Current State: 34:[2, 17], Operations: ['75-73=2', '42-25=17'] Exploring Operation: 2*17=34, Resulting Numbers: [34] 34,34 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.985243
hs_5
sum_heuristic
[ 65, 73, 69, 41 ]
99
[ "73-69=4", "41*4=164", "164-65=99" ]
Current State: 99:[65, 73, 69, 41], Operations: [] Exploring Operation: 73-69=4, Resulting Numbers: [65, 41, 4] Generated Node #2: [65, 41, 4] from Operation: 73-69=4 Current State: 99:[65, 41, 4], Operations: ['73-69=4'] Exploring Operation: 41*4=164, Resulting Numbers: [65, 164] Generated Node #3: [65, 164] from Operation: 41*4=164 Current State: 99:[65, 164], Operations: ['73-69=4', '41*4=164'] Exploring Operation: 164-65=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
Current State: 99:[65, 73, 69, 41], Operations: [] Exploring Operation: 73-65=8, Resulting Numbers: [69, 41, 8] Generated Node #0,0: 99:[69, 41, 8] Operation: 73-65=8 Exploring Operation: 69-65=4, Resulting Numbers: [73, 41, 4] Generated Node #0,1: 99:[73, 41, 4] Operation: 69-65=4 Moving to Node #0,1 Current State: 99:[73, 41, 4], Operations: ['69-65=4'] Exploring Operation: 73+41=114, Resulting Numbers: [4, 114] Generated Node #0,1,0: 99:[4, 114] Operation: 73+41=114 Exploring Operation: 73-41=32, Resulting Numbers: [4, 32] Generated Node #0,1,1: 99:[4, 32] Operation: 73-41=32 Moving to Node #0,0 Current State: 99:[69, 41, 8], Operations: ['73-65=8'] Exploring Operation: 69+41=110, Resulting Numbers: [8, 110] Generated Node #0,0,0: 99:[8, 110] Operation: 69+41=110 Exploring Operation: 69-41=28, Resulting Numbers: [8, 28] Generated Node #0,0,1: 99:[8, 28] Operation: 69-41=28 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 99:[8, 28], Operations: ['73-65=8', '69-41=28'] Exploring Operation: 28-8=20, Resulting Numbers: [20] 20,99 unequal: No Solution Exploring Operation: 8+28=36, Resulting Numbers: [36] 36,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 99:[8, 110], Operations: ['73-65=8', '69+41=110'] Exploring Operation: 8+110=118, Resulting Numbers: [118] 118,99 unequal: No Solution Exploring Operation: 110-8=102, Resulting Numbers: [102] 102,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,1 Current State: 99:[4, 32], Operations: ['69-65=4', '73-41=32'] Exploring Operation: 32/4=8, Resulting Numbers: [8] 8,99 unequal: No Solution Exploring Operation: 4+32=36, Resulting Numbers: [36] 36,99 unequal: No Solution Moving to Node #0,1,0 Current State: 99:[4, 114], Operations: ['69-65=4', '73+41=114'] Exploring Operation: 4+114=118, Resulting Numbers: [118] 118,99 unequal: No Solution Exploring Operation: 114-4=110, Resulting Numbers: [110] 110,99 unequal: No Solution No solution found.
0
hs_2
sum_heuristic
[ 3, 38, 69, 74 ]
81
[ "74-38=36", "36/3=12", "69+12=81" ]
Current State: 81:[3, 38, 69, 74], Operations: [] Exploring Operation: 74-38=36, Resulting Numbers: [3, 69, 36] Generated Node #2: [3, 69, 36] from Operation: 74-38=36 Current State: 81:[3, 69, 36], Operations: ['74-38=36'] Exploring Operation: 36/3=12, Resulting Numbers: [69, 12] Generated Node #3: [69, 12] from Operation: 36/3=12 Current State: 81:[69, 12], Operations: ['74-38=36', '36/3=12'] Exploring Operation: 69+12=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
Current State: 81:[3, 38, 69, 74], Operations: [] Exploring Operation: 74-69=5, Resulting Numbers: [3, 38, 5] Generated Node #0,0: 81:[3, 38, 5] Operation: 74-69=5 Exploring Operation: 74-38=36, Resulting Numbers: [3, 69, 36] Generated Node #0,1: 81:[3, 69, 36] Operation: 74-38=36 Exploring Operation: 69-38=31, Resulting Numbers: [3, 74, 31] Generated Node #0,2: 81:[3, 74, 31] Operation: 69-38=31 Start Sub Search at level 1: Moving to Node #0,2 Current State: 81:[3, 74, 31], Operations: ['69-38=31'] Exploring Operation: 74-3=71, Resulting Numbers: [31, 71] Generated Node #0,2,0: 81:[31, 71] Operation: 74-3=71 Exploring Operation: 3+74=77, Resulting Numbers: [31, 77] Generated Node #0,2,1: 81:[31, 77] Operation: 3+74=77 Exploring Operation: 31-3=28, Resulting Numbers: [74, 28] Generated Node #0,2,2: 81:[74, 28] Operation: 31-3=28 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 81:[31, 77], Operations: ['69-38=31', '3+74=77'] Exploring Operation: 31+77=108, Resulting Numbers: [108] 108,81 unequal: No Solution Exploring Operation: 31*77=2387, Resulting Numbers: [2387] 2387,81 unequal: No Solution Exploring Operation: 77-31=46, Resulting Numbers: [46] 46,81 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: 81:[74, 28], Operations: ['69-38=31', '31-3=28'] Exploring Operation: 74+28=102, Resulting Numbers: [102] 102,81 unequal: No Solution Exploring Operation: 74-28=46, Resulting Numbers: [46] 46,81 unequal: No Solution Exploring Operation: 74*28=2072, Resulting Numbers: [2072] 2072,81 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: 81:[31, 71], Operations: ['69-38=31', '74-3=71'] Exploring Operation: 71-31=40, Resulting Numbers: [40] 40,81 unequal: No Solution Exploring Operation: 31+71=102, Resulting Numbers: [102] 102,81 unequal: No Solution Exploring Operation: 31*71=2201, Resulting Numbers: [2201] 2201,81 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: 81:[3, 38, 5], Operations: ['74-69=5'] Exploring Operation: 38-5=33, Resulting Numbers: [3, 33] Generated Node #0,0,0: 81:[3, 33] Operation: 38-5=33 Exploring Operation: 38-3=35, Resulting Numbers: [5, 35] Generated Node #0,0,1: 81:[5, 35] Operation: 38-3=35 Exploring Operation: 3+5=8, Resulting Numbers: [38, 8] Generated Node #0,0,2: 81:[38, 8] Operation: 3+5=8 Moving to Node #0,0,0 Current State: 81:[3, 33], Operations: ['74-69=5', '38-5=33'] Exploring Operation: 33/3=11, Resulting Numbers: [11] 11,81 unequal: No Solution Exploring Operation: 3+33=36, Resulting Numbers: [36] 36,81 unequal: No Solution Exploring Operation: 33-3=30, Resulting Numbers: [30] 30,81 unequal: No Solution Moving to Node #0,0,1 Current State: 81:[5, 35], Operations: ['74-69=5', '38-3=35'] Exploring Operation: 5+35=40, Resulting Numbers: [40] 40,81 unequal: No Solution Exploring Operation: 35/5=7, Resulting Numbers: [7] 7,81 unequal: No Solution Exploring Operation: 35-5=30, Resulting Numbers: [30] 30,81 unequal: No Solution Moving to Node #0,0,2 Current State: 81:[38, 8], Operations: ['74-69=5', '3+5=8'] Exploring Operation: 38*8=304, Resulting Numbers: [304] 304,81 unequal: No Solution Exploring Operation: 38-8=30, Resulting Numbers: [30] 30,81 unequal: No Solution Exploring Operation: 38+8=46, Resulting Numbers: [46] 46,81 unequal: No Solution No 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: 81:[3, 69, 36], Operations: ['74-38=36'] Exploring Operation: 36/3=12, Resulting Numbers: [69, 12] Generated Node #0,1,0: 81:[69, 12] Operation: 36/3=12 Exploring Operation: 69/3=23, Resulting Numbers: [36, 23] Generated Node #0,1,1: 81:[36, 23] Operation: 69/3=23 Exploring Operation: 69-36=33, Resulting Numbers: [3, 33] Generated Node #0,1,2: 81:[3, 33] Operation: 69-36=33 Moving to Node #0,1,2 Current State: 81:[3, 33], Operations: ['74-38=36', '69-36=33'] Exploring Operation: 33/3=11, Resulting Numbers: [11] 11,81 unequal: No Solution Exploring Operation: 3+33=36, Resulting Numbers: [36] 36,81 unequal: No Solution Exploring Operation: 33-3=30, Resulting Numbers: [30] 30,81 unequal: No Solution Moving to Node #0,1,1 Current State: 81:[36, 23], Operations: ['74-38=36', '69/3=23'] Exploring Operation: 36*23=828, Resulting Numbers: [828] 828,81 unequal: No Solution Exploring Operation: 36+23=59, Resulting Numbers: [59] 59,81 unequal: No Solution Exploring Operation: 36-23=13, Resulting Numbers: [13] 13,81 unequal: No Solution Moving to Node #0,1,0 Current State: 81:[69, 12], Operations: ['74-38=36', '36/3=12'] Exploring Operation: 69+12=81, Resulting Numbers: [81] 81,81 equal: Goal Reached Moving to Node #0 Current State: 81:[3, 38, 69, 74], Operations: [] Exploring Operation: 74-38=36, Resulting Numbers: [3, 69, 36] Generated Node #0,1: 81:[3, 69, 36] Operation: 74-38=36 Moving to Node #0,1 Current State: 81:[3, 69, 36], Operations: ['74-38=36'] Exploring Operation: 36/3=12, Resulting Numbers: [69, 12] Generated Node #0,1,0: 81:[69, 12] Operation: 36/3=12 Moving to Node #0,1,0 Current State: 81:[69, 12], Operations: ['74-38=36', '36/3=12'] Exploring Operation: 69+12=81, Resulting Numbers: [81] 81,81 equal: Goal Reached Exit Sub Search at level 1
0.96441
hs_3
mult_heuristic
[ 83, 55, 4, 58 ]
49
[ "83+55=138", "58+138=196", "196/4=49" ]
Current State: 49:[83, 55, 4, 58], Operations: [] Exploring Operation: 83+55=138, Resulting Numbers: [4, 58, 138] Generated Node #2: [4, 58, 138] from Operation: 83+55=138 Current State: 49:[4, 58, 138], Operations: ['83+55=138'] Exploring Operation: 58+138=196, Resulting Numbers: [4, 196] Generated Node #3: [4, 196] from Operation: 58+138=196 Current State: 49:[4, 196], Operations: ['83+55=138', '58+138=196'] Exploring Operation: 196/4=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
Current State: 49:[83, 55, 4, 58], Operations: [] Exploring Operation: 83-4=79, Resulting Numbers: [55, 58, 79] Generated Node #0,0: 49:[55, 58, 79] Operation: 83-4=79 Exploring Operation: 83-55=28, Resulting Numbers: [4, 58, 28] Generated Node #0,1: 49:[4, 58, 28] Operation: 83-55=28 Exploring Operation: 83-58=25, Resulting Numbers: [55, 4, 25] Generated Node #0,2: 49:[55, 4, 25] Operation: 83-58=25 Exploring Operation: 58-55=3, Resulting Numbers: [83, 4, 3] Generated Node #0,3: 49:[83, 4, 3] Operation: 58-55=3 Moving to Node #0,2 Current State: 49:[55, 4, 25], Operations: ['83-58=25'] Exploring Operation: 55-4=51, Resulting Numbers: [25, 51] Generated Node #0,2,0: 49:[25, 51] Operation: 55-4=51 Exploring Operation: 25-4=21, Resulting Numbers: [55, 21] Generated Node #0,2,1: 49:[55, 21] Operation: 25-4=21 Exploring Operation: 4+25=29, Resulting Numbers: [55, 29] Generated Node #0,2,2: 49:[55, 29] Operation: 4+25=29 Exploring Operation: 55-25=30, Resulting Numbers: [4, 30] Generated Node #0,2,3: 49:[4, 30] Operation: 55-25=30 Moving to Node #0,1 Current State: 49:[4, 58, 28], Operations: ['83-55=28'] Exploring Operation: 4+28=32, Resulting Numbers: [58, 32] Generated Node #0,1,0: 49:[58, 32] Operation: 4+28=32 Exploring Operation: 58-4=54, Resulting Numbers: [28, 54] Generated Node #0,1,1: 49:[28, 54] Operation: 58-4=54 Exploring Operation: 58-28=30, Resulting Numbers: [4, 30] Generated Node #0,1,2: 49:[4, 30] Operation: 58-28=30 Exploring Operation: 28/4=7, Resulting Numbers: [58, 7] Generated Node #0,1,3: 49:[58, 7] Operation: 28/4=7 Moving to Node #0,3 Current State: 49:[83, 4, 3], Operations: ['58-55=3'] Exploring Operation: 83-4=79, Resulting Numbers: [3, 79] Generated Node #0,3,0: 49:[3, 79] Operation: 83-4=79 Exploring Operation: 83-3=80, Resulting Numbers: [4, 80] Generated Node #0,3,1: 49:[4, 80] Operation: 83-3=80 Exploring Operation: 4*3=12, Resulting Numbers: [83, 12] Generated Node #0,3,2: 49:[83, 12] Operation: 4*3=12 Exploring Operation: 4+3=7, Resulting Numbers: [83, 7] Generated Node #0,3,3: 49:[83, 7] Operation: 4+3=7 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 49:[3, 79], Operations: ['58-55=3', '83-4=79'] Exploring Operation: 79-3=76, Resulting Numbers: [76] 76,49 unequal: No Solution Exploring Operation: 3+79=82, Resulting Numbers: [82] 82,49 unequal: No Solution Exploring Operation: 3*79=237, Resulting Numbers: [237] 237,49 unequal: No Solution No 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: 49:[4, 80], Operations: ['58-55=3', '83-3=80'] Exploring Operation: 80/4=20, Resulting Numbers: [20] 20,49 unequal: No Solution Exploring Operation: 80-4=76, Resulting Numbers: [76] 76,49 unequal: No Solution Exploring Operation: 4*80=320, Resulting Numbers: [320] 320,49 unequal: No Solution Exploring Operation: 4+80=84, Resulting Numbers: [84] 84,49 unequal: No Solution No 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: 49:[83, 7], Operations: ['58-55=3', '4+3=7'] Exploring Operation: 83+7=90, Resulting Numbers: [90] 90,49 unequal: No Solution Exploring Operation: 83*7=581, Resulting Numbers: [581] 581,49 unequal: No Solution Exploring Operation: 83-7=76, Resulting Numbers: [76] 76,49 unequal: No Solution No 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: 49:[83, 12], Operations: ['58-55=3', '4*3=12'] Exploring Operation: 83*12=996, Resulting Numbers: [996] 996,49 unequal: No Solution Exploring Operation: 83-12=71, Resulting Numbers: [71] 71,49 unequal: No Solution Exploring Operation: 83+12=95, Resulting Numbers: [95] 95,49 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: 49:[55, 58, 79], Operations: ['83-4=79'] Exploring Operation: 79-55=24, Resulting Numbers: [58, 24] Generated Node #0,0,0: 49:[58, 24] Operation: 79-55=24 Exploring Operation: 55+58=113, Resulting Numbers: [79, 113] Generated Node #0,0,1: 49:[79, 113] Operation: 55+58=113 Exploring Operation: 79-58=21, Resulting Numbers: [55, 21] Generated Node #0,0,2: 49:[55, 21] Operation: 79-58=21 Exploring Operation: 58-55=3, Resulting Numbers: [79, 3] Generated Node #0,0,3: 49:[79, 3] Operation: 58-55=3 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 49:[55, 21], Operations: ['83-4=79', '79-58=21'] Exploring Operation: 55+21=76, Resulting Numbers: [76] 76,49 unequal: No Solution Exploring Operation: 55*21=1155, Resulting Numbers: [1155] 1155,49 unequal: No Solution Exploring Operation: 55-21=34, Resulting Numbers: [34] 34,49 unequal: No Solution No 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: 49:[58, 24], Operations: ['83-4=79', '79-55=24'] Exploring Operation: 58-24=34, Resulting Numbers: [34] 34,49 unequal: No Solution Exploring Operation: 58*24=1392, Resulting Numbers: [1392] 1392,49 unequal: No Solution Exploring Operation: 58+24=82, Resulting Numbers: [82] 82,49 unequal: No Solution No 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: 49:[79, 3], Operations: ['83-4=79', '58-55=3'] Exploring Operation: 79-3=76, Resulting Numbers: [76] 76,49 unequal: No Solution Exploring Operation: 79*3=237, Resulting Numbers: [237] 237,49 unequal: No Solution Exploring Operation: 79+3=82, Resulting Numbers: [82] 82,49 unequal: No Solution No 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: 49:[79, 113], Operations: ['83-4=79', '55+58=113'] Exploring Operation: 79*113=8927, Resulting Numbers: [8927] 8927,49 unequal: No Solution Exploring Operation: 79+113=192, Resulting Numbers: [192] 192,49 unequal: No Solution Exploring Operation: 113-79=34, Resulting Numbers: [34] 34,49 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,3 Current State: 49:[58, 7], Operations: ['83-55=28', '28/4=7'] Exploring Operation: 58+7=65, Resulting Numbers: [65] 65,49 unequal: No Solution Exploring Operation: 58-7=51, Resulting Numbers: [51] 51,49 unequal: No Solution Exploring Operation: 58*7=406, Resulting Numbers: [406] 406,49 unequal: No Solution Moving to Node #0,2,0 Current State: 49:[25, 51], Operations: ['83-58=25', '55-4=51'] Exploring Operation: 51-25=26, Resulting Numbers: [26] 26,49 unequal: No Solution Exploring Operation: 25*51=1275, Resulting Numbers: [1275] 1275,49 unequal: No Solution Exploring Operation: 25+51=76, Resulting Numbers: [76] 76,49 unequal: No Solution Moving to Node #0,2,1 Current State: 49:[55, 21], Operations: ['83-58=25', '25-4=21'] Exploring Operation: 55*21=1155, Resulting Numbers: [1155] 1155,49 unequal: No Solution Exploring Operation: 55+21=76, Resulting Numbers: [76] 76,49 unequal: No Solution Exploring Operation: 55-21=34, Resulting Numbers: [34] 34,49 unequal: No Solution Moving to Node #0,2,3 Current State: 49:[4, 30], Operations: ['83-58=25', '55-25=30'] Exploring Operation: 4*30=120, Resulting Numbers: [120] 120,49 unequal: No Solution Exploring Operation: 30-4=26, Resulting Numbers: [26] 26,49 unequal: No Solution Exploring Operation: 4+30=34, Resulting Numbers: [34] 34,49 unequal: No Solution Moving to Node #0,1,2 Current State: 49:[4, 30], Operations: ['83-55=28', '58-28=30'] Exploring Operation: 30-4=26, Resulting Numbers: [26] 26,49 unequal: No Solution Exploring Operation: 4*30=120, Resulting Numbers: [120] 120,49 unequal: No Solution Exploring Operation: 4+30=34, Resulting Numbers: [34] 34,49 unequal: No Solution Moving to Node #0,1,0 Current State: 49:[58, 32], Operations: ['83-55=28', '4+28=32'] Exploring Operation: 58*32=1856, Resulting Numbers: [1856] 1856,49 unequal: No Solution Exploring Operation: 58+32=90, Resulting Numbers: [90] 90,49 unequal: No Solution Exploring Operation: 58-32=26, Resulting Numbers: [26] 26,49 unequal: No Solution Moving to Node #0,1,1 Current State: 49:[28, 54], Operations: ['83-55=28', '58-4=54'] Exploring Operation: 28+54=82, Resulting Numbers: [82] 82,49 unequal: No Solution Exploring Operation: 54-28=26, Resulting Numbers: [26] 26,49 unequal: No Solution Exploring Operation: 28*54=1512, Resulting Numbers: [1512] 1512,49 unequal: No Solution Moving to Node #0,2,2 Current State: 49:[55, 29], Operations: ['83-58=25', '4+25=29'] Exploring Operation: 55*29=1595, Resulting Numbers: [1595] 1595,49 unequal: No Solution Exploring Operation: 55-29=26, Resulting Numbers: [26] 26,49 unequal: No Solution Exploring Operation: 55+29=84, Resulting Numbers: [84] 84,49 unequal: No Solution No solution found.
0
hs_4
sum_heuristic
[ 19, 56, 4, 8 ]
24
[ "19*8=152", "152-56=96", "96/4=24" ]
Current State: 24:[19, 56, 4, 8], Operations: [] Exploring Operation: 19*8=152, Resulting Numbers: [56, 4, 152] Generated Node #2: [56, 4, 152] from Operation: 19*8=152 Current State: 24:[56, 4, 152], Operations: ['19*8=152'] Exploring Operation: 152-56=96, Resulting Numbers: [4, 96] Generated Node #3: [4, 96] from Operation: 152-56=96 Current State: 24:[4, 96], Operations: ['19*8=152', '152-56=96'] Exploring Operation: 96/4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
Current State: 24:[19, 56, 4, 8], Operations: [] Exploring Operation: 19+4=23, Resulting Numbers: [56, 8, 23] Generated Node #0,0: 24:[56, 8, 23] Operation: 19+4=23 Exploring Operation: 56-19=37, Resulting Numbers: [4, 8, 37] Generated Node #0,1: 24:[4, 8, 37] Operation: 56-19=37 Exploring Operation: 56-8=48, Resulting Numbers: [19, 4, 48] Generated Node #0,2: 24:[19, 4, 48] Operation: 56-8=48 Exploring Operation: 56/8=7, Resulting Numbers: [19, 4, 7] Generated Node #0,3: 24:[19, 4, 7] Operation: 56/8=7 Exploring Operation: 56/4=14, Resulting Numbers: [19, 8, 14] Generated Node #0,4: 24:[19, 8, 14] Operation: 56/4=14 Start Sub Search at level 1: Moving to Node #0,3 Current State: 24:[19, 4, 7], Operations: ['56/8=7'] Exploring Operation: 19+4=23, Resulting Numbers: [7, 23] Generated Node #0,3,0: 24:[7, 23] Operation: 19+4=23 Exploring Operation: 19-7=12, Resulting Numbers: [4, 12] Generated Node #0,3,1: 24:[4, 12] Operation: 19-7=12 Exploring Operation: 7-4=3, Resulting Numbers: [19, 3] Generated Node #0,3,2: 24:[19, 3] Operation: 7-4=3 Exploring Operation: 19-4=15, Resulting Numbers: [7, 15] Generated Node #0,3,3: 24:[7, 15] Operation: 19-4=15 Exploring Operation: 19+7=26, Resulting Numbers: [4, 26] Generated Node #0,3,4: 24:[4, 26] Operation: 19+7=26 Moving to Node #0,3,1 Current State: 24:[4, 12], Operations: ['56/8=7', '19-7=12'] Exploring Operation: 4*12=48, Resulting Numbers: [48] 48,24 unequal: No Solution Exploring Operation: 12/4=3, Resulting Numbers: [3] 3,24 unequal: No Solution Exploring Operation: 12-4=8, Resulting Numbers: [8] 8,24 unequal: No Solution Exploring Operation: 4+12=16, Resulting Numbers: [16] 16,24 unequal: No Solution Moving to Node #0,3,4 Current State: 24:[4, 26], Operations: ['56/8=7', '19+7=26'] Exploring Operation: 26-4=22, Resulting Numbers: [22] 22,24 unequal: No Solution Exploring Operation: 4+26=30, Resulting Numbers: [30] 30,24 unequal: No Solution Exploring Operation: 4*26=104, Resulting Numbers: [104] 104,24 unequal: No Solution Moving to Node #0,3,0 Current State: 24:[7, 23], Operations: ['56/8=7', '19+4=23'] Exploring Operation: 7*23=161, Resulting Numbers: [161] 161,24 unequal: No Solution Exploring Operation: 23-7=16, Resulting Numbers: [16] 16,24 unequal: No Solution Exploring Operation: 7+23=30, Resulting Numbers: [30] 30,24 unequal: No Solution Moving to Node #0,3,3 Current State: 24:[7, 15], Operations: ['56/8=7', '19-4=15'] Exploring Operation: 7*15=105, Resulting Numbers: [105] 105,24 unequal: No Solution Exploring Operation: 15-7=8, Resulting Numbers: [8] 8,24 unequal: No Solution Exploring Operation: 7+15=22, Resulting Numbers: [22] 22,24 unequal: No Solution Moving to Node #0,3,2 Current State: 24:[19, 3], Operations: ['56/8=7', '7-4=3'] Exploring Operation: 19+3=22, Resulting Numbers: [22] 22,24 unequal: No Solution Exploring Operation: 19-3=16, Resulting Numbers: [16] 16,24 unequal: No Solution Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,24 unequal: No Solution No 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: 24:[19, 8, 14], Operations: ['56/4=14'] Exploring Operation: 14-8=6, Resulting Numbers: [19, 6] Generated Node #0,4,0: 24:[19, 6] Operation: 14-8=6 Exploring Operation: 19-14=5, Resulting Numbers: [8, 5] Generated Node #0,4,1: 24:[8, 5] Operation: 19-14=5 Exploring Operation: 19-8=11, Resulting Numbers: [14, 11] Generated Node #0,4,2: 24:[14, 11] Operation: 19-8=11 Exploring Operation: 19+8=27, Resulting Numbers: [14, 27] Generated Node #0,4,3: 24:[14, 27] Operation: 19+8=27 Exploring Operation: 8+14=22, Resulting Numbers: [19, 22] Generated Node #0,4,4: 24:[19, 22] Operation: 8+14=22 Start Sub Search at level 2: Moving to Node #0,4,1 Current State: 24:[8, 5], Operations: ['56/4=14', '19-14=5'] Exploring Operation: 8*5=40, Resulting Numbers: [40] 40,24 unequal: No Solution Exploring Operation: 8+5=13, Resulting Numbers: [13] 13,24 unequal: No Solution Exploring Operation: 8-5=3, Resulting Numbers: [3] 3,24 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: 24:[14, 11], Operations: ['56/4=14', '19-8=11'] Exploring Operation: 14+11=25, Resulting Numbers: [25] 25,24 unequal: No Solution Exploring Operation: 14-11=3, Resulting Numbers: [3] 3,24 unequal: No Solution Exploring Operation: 14*11=154, Resulting Numbers: [154] 154,24 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: 24:[19, 6], Operations: ['56/4=14', '14-8=6'] Exploring Operation: 19+6=25, Resulting Numbers: [25] 25,24 unequal: No Solution Exploring Operation: 19*6=114, Resulting Numbers: [114] 114,24 unequal: No Solution Exploring Operation: 19-6=13, Resulting Numbers: [13] 13,24 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: 24:[14, 27], Operations: ['56/4=14', '19+8=27'] Exploring Operation: 27-14=13, Resulting Numbers: [13] 13,24 unequal: No Solution Exploring Operation: 14*27=378, Resulting Numbers: [378] 378,24 unequal: No Solution Exploring Operation: 14+27=41, Resulting Numbers: [41] 41,24 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: 24:[19, 22], Operations: ['56/4=14', '8+14=22'] Exploring Operation: 19*22=418, Resulting Numbers: [418] 418,24 unequal: No Solution Exploring Operation: 22-19=3, Resulting Numbers: [3] 3,24 unequal: No Solution Exploring Operation: 19+22=41, Resulting Numbers: [41] 41,24 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: 24:[4, 8, 37], Operations: ['56-19=37'] Exploring Operation: 37-8=29, Resulting Numbers: [4, 29] Generated Node #0,1,0: 24:[4, 29] Operation: 37-8=29 Exploring Operation: 8/4=2, Resulting Numbers: [37, 2] Generated Node #0,1,1: 24:[37, 2] Operation: 8/4=2 Exploring Operation: 4+8=12, Resulting Numbers: [37, 12] Generated Node #0,1,2: 24:[37, 12] Operation: 4+8=12 Exploring Operation: 37-4=33, Resulting Numbers: [8, 33] Generated Node #0,1,3: 24:[8, 33] Operation: 37-4=33 Exploring Operation: 8-4=4, Resulting Numbers: [37, 4] Generated Node #0,1,4: 24:[37, 4] Operation: 8-4=4 Moving to Node #0,1,0 Current State: 24:[4, 29], Operations: ['56-19=37', '37-8=29'] Exploring Operation: 4*29=116, Resulting Numbers: [116] 116,24 unequal: No Solution Exploring Operation: 4+29=33, Resulting Numbers: [33] 33,24 unequal: No Solution Exploring Operation: 29-4=25, Resulting Numbers: [25] 25,24 unequal: No Solution Moving to Node #0,1,3 Current State: 24:[8, 33], Operations: ['56-19=37', '37-4=33'] Exploring Operation: 8*33=264, Resulting Numbers: [264] 264,24 unequal: No Solution Exploring Operation: 33-8=25, Resulting Numbers: [25] 25,24 unequal: No Solution Exploring Operation: 8+33=41, Resulting Numbers: [41] 41,24 unequal: No Solution Moving to Node #0,1,1 Current State: 24:[37, 2], Operations: ['56-19=37', '8/4=2'] Exploring Operation: 37*2=74, Resulting Numbers: [74] 74,24 unequal: No Solution Exploring Operation: 37-2=35, Resulting Numbers: [35] 35,24 unequal: No Solution Exploring Operation: 37+2=39, Resulting Numbers: [39] 39,24 unequal: No Solution Moving to Node #0,1,2 Current State: 24:[37, 12], Operations: ['56-19=37', '4+8=12'] Exploring Operation: 37-12=25, Resulting Numbers: [25] 25,24 unequal: No Solution Exploring Operation: 37+12=49, Resulting Numbers: [49] 49,24 unequal: No Solution Exploring Operation: 37*12=444, Resulting Numbers: [444] 444,24 unequal: No Solution Moving to Node #0,1,4 Current State: 24:[37, 4], Operations: ['56-19=37', '8-4=4'] Exploring Operation: 37*4=148, Resulting Numbers: [148] 148,24 unequal: No Solution Exploring Operation: 37-4=33, Resulting Numbers: [33] 33,24 unequal: No Solution Exploring Operation: 37+4=41, Resulting Numbers: [41] 41,24 unequal: No Solution No 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: 24:[19, 4, 48], Operations: ['56-8=48'] Exploring Operation: 48/4=12, Resulting Numbers: [19, 12] Generated Node #0,2,0: 24:[19, 12] Operation: 48/4=12 Exploring Operation: 48-4=44, Resulting Numbers: [19, 44] Generated Node #0,2,1: 24:[19, 44] Operation: 48-4=44 Exploring Operation: 19+4=23, Resulting Numbers: [48, 23] Generated Node #0,2,2: 24:[48, 23] Operation: 19+4=23 Exploring Operation: 19-4=15, Resulting Numbers: [48, 15] Generated Node #0,2,3: 24:[48, 15] Operation: 19-4=15 Exploring Operation: 48-19=29, Resulting Numbers: [4, 29] Generated Node #0,2,4: 24:[4, 29] Operation: 48-19=29 Moving to Node #0,2,0 Current State: 24:[19, 12], Operations: ['56-8=48', '48/4=12'] Exploring Operation: 19+12=31, Resulting Numbers: [31] 31,24 unequal: No Solution Exploring Operation: 19-12=7, Resulting Numbers: [7] 7,24 unequal: No Solution Exploring Operation: 19*12=228, Resulting Numbers: [228] 228,24 unequal: No Solution Moving to Node #0,2,4 Current State: 24:[4, 29], Operations: ['56-8=48', '48-19=29'] Exploring Operation: 4*29=116, Resulting Numbers: [116] 116,24 unequal: No Solution Exploring Operation: 29-4=25, Resulting Numbers: [25] 25,24 unequal: No Solution Exploring Operation: 4+29=33, Resulting Numbers: [33] 33,24 unequal: No Solution Moving to Node #0,2,1 Current State: 24:[19, 44], Operations: ['56-8=48', '48-4=44'] Exploring Operation: 19*44=836, Resulting Numbers: [836] 836,24 unequal: No Solution Exploring Operation: 19+44=63, Resulting Numbers: [63] 63,24 unequal: No Solution Exploring Operation: 44-19=25, Resulting Numbers: [25] 25,24 unequal: No Solution Moving to Node #0,2,2 Current State: 24:[48, 23], Operations: ['56-8=48', '19+4=23'] Exploring Operation: 48-23=25, Resulting Numbers: [25] 25,24 unequal: No Solution Exploring Operation: 48*23=1104, Resulting Numbers: [1104] 1104,24 unequal: No Solution Exploring Operation: 48+23=71, Resulting Numbers: [71] 71,24 unequal: No Solution Moving to Node #0,2,3 Current State: 24:[48, 15], Operations: ['56-8=48', '19-4=15'] Exploring Operation: 48-15=33, Resulting Numbers: [33] 33,24 unequal: No Solution Exploring Operation: 48+15=63, Resulting Numbers: [63] 63,24 unequal: No Solution Exploring Operation: 48*15=720, Resulting Numbers: [720] 720,24 unequal: No Solution No 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: 24:[56, 8, 23], Operations: ['19+4=23'] Exploring Operation: 56-8=48, Resulting Numbers: [23, 48] Generated Node #0,0,0: 24:[23, 48] Operation: 56-8=48 Exploring Operation: 8+23=31, Resulting Numbers: [56, 31] Generated Node #0,0,1: 24:[56, 31] Operation: 8+23=31 Exploring Operation: 56/8=7, Resulting Numbers: [23, 7] Generated Node #0,0,2: 24:[23, 7] Operation: 56/8=7 Exploring Operation: 56-23=33, Resulting Numbers: [8, 33] Generated Node #0,0,3: 24:[8, 33] Operation: 56-23=33 Exploring Operation: 23-8=15, Resulting Numbers: [56, 15] Generated Node #0,0,4: 24:[56, 15] Operation: 23-8=15 Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 24:[23, 7], Operations: ['19+4=23', '56/8=7'] Exploring Operation: 23-7=16, Resulting Numbers: [16] 16,24 unequal: No Solution Exploring Operation: 23*7=161, Resulting Numbers: [161] 161,24 unequal: No Solution Exploring Operation: 23+7=30, Resulting Numbers: [30] 30,24 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: 24:[8, 33], Operations: ['19+4=23', '56-23=33'] Exploring Operation: 8*33=264, Resulting Numbers: [264] 264,24 unequal: No Solution Exploring Operation: 33-8=25, Resulting Numbers: [25] 25,24 unequal: No Solution Exploring Operation: 8+33=41, Resulting Numbers: [41] 41,24 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: 24:[23, 48], Operations: ['19+4=23', '56-8=48'] Exploring Operation: 23*48=1104, Resulting Numbers: [1104] 1104,24 unequal: No Solution Exploring Operation: 23+48=71, Resulting Numbers: [71] 71,24 unequal: No Solution Exploring Operation: 48-23=25, Resulting Numbers: [25] 25,24 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: 24:[56, 15], Operations: ['19+4=23', '23-8=15'] Exploring Operation: 56+15=71, Resulting Numbers: [71] 71,24 unequal: No Solution Exploring Operation: 56-15=41, Resulting Numbers: [41] 41,24 unequal: No Solution Exploring Operation: 56*15=840, Resulting Numbers: [840] 840,24 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: 24:[56, 31], Operations: ['19+4=23', '8+23=31'] Exploring Operation: 56*31=1736, Resulting Numbers: [1736] 1736,24 unequal: No Solution Exploring Operation: 56+31=87, Resulting Numbers: [87] 87,24 unequal: No Solution Exploring Operation: 56-31=25, Resulting Numbers: [25] 25,24 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
[ 15, 31, 13, 93 ]
34
[ "15+31=46", "93-13=80", "80-46=34" ]
Current State: 34:[15, 31, 13, 93], Operations: [] Exploring Operation: 15+31=46, Resulting Numbers: [13, 93, 46] Generated Node #2: [13, 93, 46] from Operation: 15+31=46 Current State: 34:[13, 93, 46], Operations: ['15+31=46'] Exploring Operation: 93-13=80, Resulting Numbers: [46, 80] Generated Node #3: [46, 80] from Operation: 93-13=80 Current State: 34:[46, 80], Operations: ['15+31=46', '93-13=80'] Exploring Operation: 80-46=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
Current State: 34:[15, 31, 13, 93], Operations: [] Exploring Operation: 93/31=3, Resulting Numbers: [15, 13, 3] Generated Node #0,0: 34:[15, 13, 3] Operation: 93/31=3 Moving to Node #0,0 Current State: 34:[15, 13, 3], Operations: ['93/31=3'] Exploring Operation: 15-13=2, Resulting Numbers: [3, 2] Generated Node #0,0,0: 34:[3, 2] Operation: 15-13=2 Moving to Node #0,0,0 Current State: 34:[3, 2], Operations: ['93/31=3', '15-13=2'] Exploring Operation: 3-2=1, Resulting Numbers: [1] 1,34 unequal: No Solution No solution found.
0
hs_1
sum_heuristic
[ 68, 82, 30, 97 ]
66
[ "97-82=15", "30/15=2", "68-2=66" ]
Current State: 66:[68, 82, 30, 97], Operations: [] Exploring Operation: 97-82=15, Resulting Numbers: [68, 30, 15] Generated Node #2: [68, 30, 15] from Operation: 97-82=15 Current State: 66:[68, 30, 15], Operations: ['97-82=15'] Exploring Operation: 30/15=2, Resulting Numbers: [68, 2] Generated Node #3: [68, 2] from Operation: 30/15=2 Current State: 66:[68, 2], Operations: ['97-82=15', '30/15=2'] Exploring Operation: 68-2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
Current State: 66:[68, 82, 30, 97], Operations: [] Exploring Operation: 97-82=15, Resulting Numbers: [68, 30, 15] Generated Node #0,0: 66:[68, 30, 15] Operation: 97-82=15 Exploring Operation: 97-30=67, Resulting Numbers: [68, 82, 67] Generated Node #0,1: 66:[68, 82, 67] Operation: 97-30=67 Exploring Operation: 97-68=29, Resulting Numbers: [82, 30, 29] Generated Node #0,2: 66:[82, 30, 29] Operation: 97-68=29 Exploring Operation: 82-68=14, Resulting Numbers: [30, 97, 14] Generated Node #0,3: 66:[30, 97, 14] Operation: 82-68=14 Moving to Node #0,0 Current State: 66:[68, 30, 15], Operations: ['97-82=15'] Exploring Operation: 68-30=38, Resulting Numbers: [15, 38] Generated Node #0,0,0: 66:[15, 38] Operation: 68-30=38 Exploring Operation: 30+15=45, Resulting Numbers: [68, 45] Generated Node #0,0,1: 66:[68, 45] Operation: 30+15=45 Exploring Operation: 30-15=15, Resulting Numbers: [68, 15] Generated Node #0,0,2: 66:[68, 15] Operation: 30-15=15 Exploring Operation: 30/15=2, Resulting Numbers: [68, 2] Generated Node #0,0,3: 66:[68, 2] Operation: 30/15=2 Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 66:[68, 2], Operations: ['97-82=15', '30/15=2'] Exploring Operation: 68-2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached Moving to Node #0 Current State: 66:[68, 82, 30, 97], Operations: [] Exploring Operation: 97-82=15, Resulting Numbers: [68, 30, 15] Generated Node #0,0: 66:[68, 30, 15] Operation: 97-82=15 Moving to Node #0,0 Current State: 66:[68, 30, 15], Operations: ['97-82=15'] Exploring Operation: 30/15=2, Resulting Numbers: [68, 2] Generated Node #0,0,3: 66:[68, 2] Operation: 30/15=2 Moving to Node #0,0,3 Current State: 66:[68, 2], Operations: ['97-82=15', '30/15=2'] Exploring Operation: 68-2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached Exit Sub Search at level 1
0.988715
hs_4
mult_heuristic
[ 72, 66, 12, 62 ]
33
[ "72-12=60", "62-60=2", "66/2=33" ]
Current State: 33:[72, 66, 12, 62], Operations: [] Exploring Operation: 72-12=60, Resulting Numbers: [66, 62, 60] Generated Node #2: [66, 62, 60] from Operation: 72-12=60 Current State: 33:[66, 62, 60], Operations: ['72-12=60'] Exploring Operation: 62-60=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 62-60=2 Current State: 33:[66, 2], Operations: ['72-12=60', '62-60=2'] Exploring Operation: 66/2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
Current State: 33:[72, 66, 12, 62], Operations: [] Exploring Operation: 72-66=6, Resulting Numbers: [12, 62, 6] Generated Node #0,0: 33:[12, 62, 6] Operation: 72-66=6 Exploring Operation: 72-62=10, Resulting Numbers: [66, 12, 10] Generated Node #0,1: 33:[66, 12, 10] Operation: 72-62=10 Moving to Node #0,0 Current State: 33:[12, 62, 6], Operations: ['72-66=6'] Exploring Operation: 62-6=56, Resulting Numbers: [12, 56] Generated Node #0,0,0: 33:[12, 56] Operation: 62-6=56 Exploring Operation: 62-12=50, Resulting Numbers: [6, 50] Generated Node #0,0,1: 33:[6, 50] Operation: 62-12=50 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 33:[6, 50], Operations: ['72-66=6', '62-12=50'] Exploring Operation: 50-6=44, Resulting Numbers: [44] 44,33 unequal: No Solution Exploring Operation: 6+50=56, Resulting Numbers: [56] 56,33 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 #0,0,0 Current State: 33:[12, 56], Operations: ['72-66=6', '62-6=56'] Exploring Operation: 56-12=44, Resulting Numbers: [44] 44,33 unequal: No Solution Exploring Operation: 12+56=68, Resulting Numbers: [68] 68,33 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: 33:[66, 12, 10], Operations: ['72-62=10'] Exploring Operation: 66-12=54, Resulting Numbers: [10, 54] Generated Node #0,1,0: 33:[10, 54] Operation: 66-12=54 Exploring Operation: 66-10=56, Resulting Numbers: [12, 56] Generated Node #0,1,1: 33:[12, 56] Operation: 66-10=56 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 33:[10, 54], Operations: ['72-62=10', '66-12=54'] Exploring Operation: 10+54=64, Resulting Numbers: [64] 64,33 unequal: No Solution Exploring Operation: 54-10=44, Resulting Numbers: [44] 44,33 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 #0,1,1 Current State: 33:[12, 56], Operations: ['72-62=10', '66-10=56'] Exploring Operation: 12+56=68, Resulting Numbers: [68] 68,33 unequal: No Solution Exploring Operation: 56-12=44, Resulting Numbers: [44] 44,33 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
[ 96, 40, 98, 48 ]
10
[ "96+40=136", "98+48=146", "146-136=10" ]
Current State: 10:[96, 40, 98, 48], Operations: [] Exploring Operation: 96+40=136, Resulting Numbers: [98, 48, 136] Generated Node #2: [98, 48, 136] from Operation: 96+40=136 Current State: 10:[98, 48, 136], Operations: ['96+40=136'] Exploring Operation: 98+48=146, Resulting Numbers: [136, 146] Generated Node #3: [136, 146] from Operation: 98+48=146 Current State: 10:[136, 146], Operations: ['96+40=136', '98+48=146'] Exploring Operation: 146-136=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
Current State: 10:[96, 40, 98, 48], Operations: [] Exploring Operation: 98-96=2, Resulting Numbers: [40, 48, 2] Generated Node #0,0: 10:[40, 48, 2] Operation: 98-96=2 Start Sub Search at level 1: Moving to Node #0,0 Current State: 10:[40, 48, 2], Operations: ['98-96=2'] Exploring Operation: 48-40=8, Resulting Numbers: [2, 8] Generated Node #0,0,0: 10:[2, 8] Operation: 48-40=8 Moving to Node #0,0,0 Current State: 10:[2, 8], Operations: ['98-96=2', '48-40=8'] Exploring Operation: 2+8=10, Resulting Numbers: [10] 10,10 equal: Goal Reached Moving to Node #0 Current State: 10:[96, 40, 98, 48], Operations: [] Exploring Operation: 98-96=2, Resulting Numbers: [40, 48, 2] Generated Node #0,0: 10:[40, 48, 2] Operation: 98-96=2 Moving to Node #0,0 Current State: 10:[40, 48, 2], Operations: ['98-96=2'] Exploring Operation: 48-40=8, Resulting Numbers: [2, 8] Generated Node #0,0,0: 10:[2, 8] Operation: 48-40=8 Moving to Node #0,0,0 Current State: 10:[2, 8], Operations: ['98-96=2', '48-40=8'] Exploring Operation: 2+8=10, Resulting Numbers: [10] 10,10 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
mult_heuristic
[ 68, 32, 35, 95 ]
24
[ "68-32=36", "95-35=60", "60-36=24" ]
Current State: 24:[68, 32, 35, 95], Operations: [] Exploring Operation: 68-32=36, Resulting Numbers: [35, 95, 36] Generated Node #2: [35, 95, 36] from Operation: 68-32=36 Current State: 24:[35, 95, 36], Operations: ['68-32=36'] Exploring Operation: 95-35=60, Resulting Numbers: [36, 60] Generated Node #3: [36, 60] from Operation: 95-35=60 Current State: 24:[36, 60], Operations: ['68-32=36', '95-35=60'] Exploring Operation: 60-36=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
Current State: 24:[68, 32, 35, 95], Operations: [] Exploring Operation: 95-68=27, Resulting Numbers: [32, 35, 27] Generated Node #0,0: 24:[32, 35, 27] Operation: 95-68=27 Exploring Operation: 68-35=33, Resulting Numbers: [32, 95, 33] Generated Node #0,1: 24:[32, 95, 33] Operation: 68-35=33 Start Sub Search at level 1: Moving to Node #0,0 Current State: 24:[32, 35, 27], Operations: ['95-68=27'] Exploring Operation: 35-32=3, Resulting Numbers: [27, 3] Generated Node #0,0,0: 24:[27, 3] Operation: 35-32=3 Exploring Operation: 35-27=8, Resulting Numbers: [32, 8] Generated Node #0,0,1: 24:[32, 8] Operation: 35-27=8 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 24:[27, 3], Operations: ['95-68=27', '35-32=3'] Exploring Operation: 27/3=9, Resulting Numbers: [9] 9,24 unequal: No Solution Exploring Operation: 27-3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached Moving to Node #0 Current State: 24:[68, 32, 35, 95], Operations: [] Exploring Operation: 95-68=27, Resulting Numbers: [32, 35, 27] Generated Node #0,0: 24:[32, 35, 27] Operation: 95-68=27 Moving to Node #0,0 Current State: 24:[32, 35, 27], Operations: ['95-68=27'] Exploring Operation: 35-32=3, Resulting Numbers: [27, 3] Generated Node #0,0,0: 24:[27, 3] Operation: 35-32=3 Moving to Node #0,0,0 Current State: 24:[27, 3], Operations: ['95-68=27', '35-32=3'] Exploring Operation: 27-3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.991319
hs_2
sum_heuristic
[ 32, 7, 87, 1 ]
62
[ "32-7=25", "87*1=87", "87-25=62" ]
Current State: 62:[32, 7, 87, 1], Operations: [] Exploring Operation: 32-7=25, Resulting Numbers: [87, 1, 25] Generated Node #2: [87, 1, 25] from Operation: 32-7=25 Current State: 62:[87, 1, 25], Operations: ['32-7=25'] Exploring Operation: 87*1=87, Resulting Numbers: [25, 87] Generated Node #3: [25, 87] from Operation: 87*1=87 Current State: 62:[25, 87], Operations: ['32-7=25', '87*1=87'] Exploring Operation: 87-25=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
Current State: 62:[32, 7, 87, 1], Operations: [] Exploring Operation: 87-32=55, Resulting Numbers: [7, 1, 55] Generated Node #0,0: 62:[7, 1, 55] Operation: 87-32=55 Exploring Operation: 7-1=6, Resulting Numbers: [32, 87, 6] Generated Node #0,1: 62:[32, 87, 6] Operation: 7-1=6 Exploring Operation: 87-7=80, Resulting Numbers: [32, 1, 80] Generated Node #0,2: 62:[32, 1, 80] Operation: 87-7=80 Exploring Operation: 32-1=31, Resulting Numbers: [7, 87, 31] Generated Node #0,3: 62:[7, 87, 31] Operation: 32-1=31 Start Sub Search at level 1: Moving to Node #0,0 Current State: 62:[7, 1, 55], Operations: ['87-32=55'] Exploring Operation: 1+55=56, Resulting Numbers: [7, 56] Generated Node #0,0,0: 62:[7, 56] Operation: 1+55=56 Exploring Operation: 7-1=6, Resulting Numbers: [55, 6] Generated Node #0,0,1: 62:[55, 6] Operation: 7-1=6 Exploring Operation: 7+55=62, Resulting Numbers: [1, 62] Generated Node #0,0,2: 62:[1, 62] Operation: 7+55=62 Exploring Operation: 7*1=7, Resulting Numbers: [55, 7] Generated Node #0,0,3: 62:[55, 7] Operation: 7*1=7 Moving to Node #0,0,2 Current State: 62:[1, 62], Operations: ['87-32=55', '7+55=62'] Exploring Operation: 62-1=61, Resulting Numbers: [61] 61,62 unequal: No Solution Exploring Operation: 1+62=63, Resulting Numbers: [63] 63,62 unequal: No Solution Exploring Operation: 62/1=62, Resulting Numbers: [62] 62,62 equal: Goal Reached Moving to Node #0 Current State: 62:[32, 7, 87, 1], Operations: [] Exploring Operation: 87-32=55, Resulting Numbers: [7, 1, 55] Generated Node #0,0: 62:[7, 1, 55] Operation: 87-32=55 Moving to Node #0,0 Current State: 62:[7, 1, 55], Operations: ['87-32=55'] Exploring Operation: 7+55=62, Resulting Numbers: [1, 62] Generated Node #0,0,2: 62:[1, 62] Operation: 7+55=62 Moving to Node #0,0,2 Current State: 62:[1, 62], Operations: ['87-32=55', '7+55=62'] Exploring Operation: 62/1=62, Resulting Numbers: [62] 62,62 equal: Goal Reached Exit Sub Search at level 1
0.986979
hs_4
mult_heuristic
[ 38, 3, 70, 2 ]
54
[ "38/2=19", "3+70=73", "73-19=54" ]
Current State: 54:[38, 3, 70, 2], Operations: [] Exploring Operation: 38/2=19, Resulting Numbers: [3, 70, 19] Generated Node #2: [3, 70, 19] from Operation: 38/2=19 Current State: 54:[3, 70, 19], Operations: ['38/2=19'] Exploring Operation: 3+70=73, Resulting Numbers: [19, 73] Generated Node #3: [19, 73] from Operation: 3+70=73 Current State: 54:[19, 73], Operations: ['38/2=19', '3+70=73'] Exploring Operation: 73-19=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
Current State: 54:[38, 3, 70, 2], Operations: [] Exploring Operation: 38-3=35, Resulting Numbers: [70, 2, 35] Generated Node #0,0: 54:[70, 2, 35] Operation: 38-3=35 Exploring Operation: 70/2=35, Resulting Numbers: [38, 3, 35] Generated Node #0,1: 54:[38, 3, 35] Operation: 70/2=35 Exploring Operation: 38/2=19, Resulting Numbers: [3, 70, 19] Generated Node #0,2: 54:[3, 70, 19] Operation: 38/2=19 Exploring Operation: 70-38=32, Resulting Numbers: [3, 2, 32] Generated Node #0,3: 54:[3, 2, 32] Operation: 70-38=32 Start Sub Search at level 1: Moving to Node #0,3 Current State: 54:[3, 2, 32], Operations: ['70-38=32'] Exploring Operation: 32-2=30, Resulting Numbers: [3, 30] Generated Node #0,3,0: 54:[3, 30] Operation: 32-2=30 Exploring Operation: 32/2=16, Resulting Numbers: [3, 16] Generated Node #0,3,1: 54:[3, 16] Operation: 32/2=16 Exploring Operation: 3*2=6, Resulting Numbers: [32, 6] Generated Node #0,3,2: 54:[32, 6] Operation: 3*2=6 Exploring Operation: 32-3=29, Resulting Numbers: [2, 29] Generated Node #0,3,3: 54:[2, 29] Operation: 32-3=29 Moving to Node #0,3,1 Current State: 54:[3, 16], Operations: ['70-38=32', '32/2=16'] Exploring Operation: 3*16=48, Resulting Numbers: [48] 48,54 unequal: No Solution Exploring Operation: 3+16=19, Resulting Numbers: [19] 19,54 unequal: No Solution Exploring Operation: 16-3=13, Resulting Numbers: [13] 13,54 unequal: No Solution Moving to Node #0,3,3 Current State: 54:[2, 29], Operations: ['70-38=32', '32-3=29'] Exploring Operation: 29-2=27, Resulting Numbers: [27] 27,54 unequal: No Solution Exploring Operation: 2*29=58, Resulting Numbers: [58] 58,54 unequal: No Solution Exploring Operation: 2+29=31, Resulting Numbers: [31] 31,54 unequal: No Solution Moving to Node #0,3,0 Current State: 54:[3, 30], Operations: ['70-38=32', '32-2=30'] Exploring Operation: 30/3=10, Resulting Numbers: [10] 10,54 unequal: No Solution Exploring Operation: 3+30=33, Resulting Numbers: [33] 33,54 unequal: No Solution Exploring Operation: 30-3=27, Resulting Numbers: [27] 27,54 unequal: No Solution Exploring Operation: 3*30=90, Resulting Numbers: [90] 90,54 unequal: No Solution Moving to Node #0,3,2 Current State: 54:[32, 6], Operations: ['70-38=32', '3*2=6'] Exploring Operation: 32*6=192, Resulting Numbers: [192] 192,54 unequal: No Solution Exploring Operation: 32-6=26, Resulting Numbers: [26] 26,54 unequal: No Solution Exploring Operation: 32+6=38, Resulting Numbers: [38] 38,54 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 54:[3, 70, 19], Operations: ['38/2=19'] Exploring Operation: 3*19=57, Resulting Numbers: [70, 57] Generated Node #0,2,0: 54:[70, 57] Operation: 3*19=57 Exploring Operation: 70-3=67, Resulting Numbers: [19, 67] Generated Node #0,2,1: 54:[19, 67] Operation: 70-3=67 Exploring Operation: 19-3=16, Resulting Numbers: [70, 16] Generated Node #0,2,2: 54:[70, 16] Operation: 19-3=16 Exploring Operation: 70-19=51, Resulting Numbers: [3, 51] Generated Node #0,2,3: 54:[3, 51] Operation: 70-19=51 Moving to Node #0,2,3 Current State: 54:[3, 51], Operations: ['38/2=19', '70-19=51'] Exploring Operation: 3+51=54, Resulting Numbers: [54] 54,54 equal: Goal Reached Moving to Node #0 Current State: 54:[38, 3, 70, 2], Operations: [] Exploring Operation: 38/2=19, Resulting Numbers: [3, 70, 19] Generated Node #0,2: 54:[3, 70, 19] Operation: 38/2=19 Moving to Node #0,2 Current State: 54:[3, 70, 19], Operations: ['38/2=19'] Exploring Operation: 70-19=51, Resulting Numbers: [3, 51] Generated Node #0,2,3: 54:[3, 51] Operation: 70-19=51 Moving to Node #0,2,3 Current State: 54:[3, 51], Operations: ['38/2=19', '70-19=51'] Exploring Operation: 3+51=54, Resulting Numbers: [54] 54,54 equal: Goal Reached Exit Sub Search at level 1
0.973958
hs_4
mult_heuristic
[ 84, 25, 93, 37 ]
56
[ "25+37=62", "84*62=5208", "5208/93=56" ]
Current State: 56:[84, 25, 93, 37], Operations: [] Exploring Operation: 25+37=62, Resulting Numbers: [84, 93, 62] Generated Node #2: [84, 93, 62] from Operation: 25+37=62 Current State: 56:[84, 93, 62], Operations: ['25+37=62'] Exploring Operation: 84*62=5208, Resulting Numbers: [93, 5208] Generated Node #3: [93, 5208] from Operation: 84*62=5208 Current State: 56:[93, 5208], Operations: ['25+37=62', '84*62=5208'] Exploring Operation: 5208/93=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
Current State: 56:[84, 25, 93, 37], Operations: [] Exploring Operation: 93-37=56, Resulting Numbers: [84, 25, 56] Generated Node #0,0: 56:[84, 25, 56] Operation: 93-37=56 Exploring Operation: 84-25=59, Resulting Numbers: [93, 37, 59] Generated Node #0,1: 56:[93, 37, 59] Operation: 84-25=59 Exploring Operation: 84-37=47, Resulting Numbers: [25, 93, 47] Generated Node #0,2: 56:[25, 93, 47] Operation: 84-37=47 Exploring Operation: 93-84=9, Resulting Numbers: [25, 37, 9] Generated Node #0,3: 56:[25, 37, 9] Operation: 93-84=9 Exploring Operation: 93-25=68, Resulting Numbers: [84, 37, 68] Generated Node #0,4: 56:[84, 37, 68] Operation: 93-25=68 Moving to Node #0,3 Current State: 56:[25, 37, 9], Operations: ['93-84=9'] Exploring Operation: 25-9=16, Resulting Numbers: [37, 16] Generated Node #0,3,0: 56:[37, 16] Operation: 25-9=16 Exploring Operation: 37+9=46, Resulting Numbers: [25, 46] Generated Node #0,3,1: 56:[25, 46] Operation: 37+9=46 Exploring Operation: 37-9=28, Resulting Numbers: [25, 28] Generated Node #0,3,2: 56:[25, 28] Operation: 37-9=28 Exploring Operation: 37-25=12, Resulting Numbers: [9, 12] Generated Node #0,3,3: 56:[9, 12] Operation: 37-25=12 Exploring Operation: 25+37=62, Resulting Numbers: [9, 62] Generated Node #0,3,4: 56:[9, 62] Operation: 25+37=62 Moving to Node #0,0 Current State: 56:[84, 25, 56], Operations: ['93-37=56'] Exploring Operation: 25+56=81, Resulting Numbers: [84, 81] Generated Node #0,0,0: 56:[84, 81] Operation: 25+56=81 Exploring Operation: 84-56=28, Resulting Numbers: [25, 28] Generated Node #0,0,1: 56:[25, 28] Operation: 84-56=28 Exploring Operation: 84+25=109, Resulting Numbers: [56, 109] Generated Node #0,0,2: 56:[56, 109] Operation: 84+25=109 Exploring Operation: 56-25=31, Resulting Numbers: [84, 31] Generated Node #0,0,3: 56:[84, 31] Operation: 56-25=31 Exploring Operation: 84-25=59, Resulting Numbers: [56, 59] Generated Node #0,0,4: 56:[56, 59] Operation: 84-25=59 Moving to Node #0,1 Current State: 56:[93, 37, 59], Operations: ['84-25=59'] Exploring Operation: 59-37=22, Resulting Numbers: [93, 22] Generated Node #0,1,0: 56:[93, 22] Operation: 59-37=22 Exploring Operation: 93+37=130, Resulting Numbers: [59, 130] Generated Node #0,1,1: 56:[59, 130] Operation: 93+37=130 Exploring Operation: 93-37=56, Resulting Numbers: [59, 56] Generated Node #0,1,2: 56:[59, 56] Operation: 93-37=56 Exploring Operation: 93-59=34, Resulting Numbers: [37, 34] Generated Node #0,1,3: 56:[37, 34] Operation: 93-59=34 Exploring Operation: 37+59=96, Resulting Numbers: [93, 96] Generated Node #0,1,4: 56:[93, 96] Operation: 37+59=96 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 56:[59, 56], Operations: ['84-25=59', '93-37=56'] Exploring Operation: 59-56=3, Resulting Numbers: [3] 3,56 unequal: No Solution Exploring Operation: 59*56=3304, Resulting Numbers: [3304] 3304,56 unequal: No Solution Exploring Operation: 59+56=115, Resulting Numbers: [115] 115,56 unequal: No Solution No 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: 56:[37, 34], Operations: ['84-25=59', '93-59=34'] Exploring Operation: 37+34=71, Resulting Numbers: [71] 71,56 unequal: No Solution Exploring Operation: 37*34=1258, Resulting Numbers: [1258] 1258,56 unequal: No Solution Exploring Operation: 37-34=3, Resulting Numbers: [3] 3,56 unequal: No Solution No 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: 56:[93, 22], Operations: ['84-25=59', '59-37=22'] Exploring Operation: 93-22=71, Resulting Numbers: [71] 71,56 unequal: No Solution Exploring Operation: 93+22=115, Resulting Numbers: [115] 115,56 unequal: No Solution Exploring Operation: 93*22=2046, Resulting Numbers: [2046] 2046,56 unequal: No Solution No 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: 56:[59, 130], Operations: ['84-25=59', '93+37=130'] Exploring Operation: 130-59=71, Resulting Numbers: [71] 71,56 unequal: No Solution Exploring Operation: 59*130=7670, Resulting Numbers: [7670] 7670,56 unequal: No Solution Exploring Operation: 59+130=189, Resulting Numbers: [189] 189,56 unequal: No Solution No 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: 56:[93, 96], Operations: ['84-25=59', '37+59=96'] Exploring Operation: 93+96=189, Resulting Numbers: [189] 189,56 unequal: No Solution Exploring Operation: 96-93=3, Resulting Numbers: [3] 3,56 unequal: No Solution Exploring Operation: 93*96=8928, Resulting Numbers: [8928] 8928,56 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: 56:[25, 93, 47], Operations: ['84-37=47'] Exploring Operation: 25+47=72, Resulting Numbers: [93, 72] Generated Node #0,2,0: 56:[93, 72] Operation: 25+47=72 Exploring Operation: 93-47=46, Resulting Numbers: [25, 46] Generated Node #0,2,1: 56:[25, 46] Operation: 93-47=46 Exploring Operation: 93-25=68, Resulting Numbers: [47, 68] Generated Node #0,2,2: 56:[47, 68] Operation: 93-25=68 Exploring Operation: 25+93=118, Resulting Numbers: [47, 118] Generated Node #0,2,3: 56:[47, 118] Operation: 25+93=118 Exploring Operation: 47-25=22, Resulting Numbers: [93, 22] Generated Node #0,2,4: 56:[93, 22] Operation: 47-25=22 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 56:[25, 46], Operations: ['84-37=47', '93-47=46'] Exploring Operation: 25*46=1150, Resulting Numbers: [1150] 1150,56 unequal: No Solution Exploring Operation: 46-25=21, Resulting Numbers: [21] 21,56 unequal: No Solution Exploring Operation: 25+46=71, Resulting Numbers: [71] 71,56 unequal: No Solution No 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: 56:[47, 68], Operations: ['84-37=47', '93-25=68'] Exploring Operation: 68-47=21, Resulting Numbers: [21] 21,56 unequal: No Solution Exploring Operation: 47*68=3196, Resulting Numbers: [3196] 3196,56 unequal: No Solution Exploring Operation: 47+68=115, Resulting Numbers: [115] 115,56 unequal: No Solution No 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: 56:[93, 22], Operations: ['84-37=47', '47-25=22'] Exploring Operation: 93+22=115, Resulting Numbers: [115] 115,56 unequal: No Solution Exploring Operation: 93*22=2046, Resulting Numbers: [2046] 2046,56 unequal: No Solution Exploring Operation: 93-22=71, Resulting Numbers: [71] 71,56 unequal: No Solution No 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: 56:[93, 72], Operations: ['84-37=47', '25+47=72'] Exploring Operation: 93*72=6696, Resulting Numbers: [6696] 6696,56 unequal: No Solution Exploring Operation: 93+72=165, Resulting Numbers: [165] 165,56 unequal: No Solution Exploring Operation: 93-72=21, Resulting Numbers: [21] 21,56 unequal: No Solution No 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: 56:[47, 118], Operations: ['84-37=47', '25+93=118'] Exploring Operation: 47+118=165, Resulting Numbers: [165] 165,56 unequal: No Solution Exploring Operation: 118-47=71, Resulting Numbers: [71] 71,56 unequal: No Solution Exploring Operation: 47*118=5546, Resulting Numbers: [5546] 5546,56 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: 56:[84, 37, 68], Operations: ['93-25=68'] Exploring Operation: 84-37=47, Resulting Numbers: [68, 47] Generated Node #0,4,0: 56:[68, 47] Operation: 84-37=47 Exploring Operation: 84+37=121, Resulting Numbers: [68, 121] Generated Node #0,4,1: 56:[68, 121] Operation: 84+37=121 Exploring Operation: 37+68=105, Resulting Numbers: [84, 105] Generated Node #0,4,2: 56:[84, 105] Operation: 37+68=105 Exploring Operation: 84-68=16, Resulting Numbers: [37, 16] Generated Node #0,4,3: 56:[37, 16] Operation: 84-68=16 Exploring Operation: 68-37=31, Resulting Numbers: [84, 31] Generated Node #0,4,4: 56:[84, 31] Operation: 68-37=31 Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 56:[37, 16], Operations: ['93-25=68', '84-68=16'] Exploring Operation: 37-16=21, Resulting Numbers: [21] 21,56 unequal: No Solution Exploring Operation: 37+16=53, Resulting Numbers: [53] 53,56 unequal: No Solution Exploring Operation: 37*16=592, Resulting Numbers: [592] 592,56 unequal: No Solution No 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: 56:[68, 47], Operations: ['93-25=68', '84-37=47'] Exploring Operation: 68*47=3196, Resulting Numbers: [3196] 3196,56 unequal: No Solution Exploring Operation: 68+47=115, Resulting Numbers: [115] 115,56 unequal: No Solution Exploring Operation: 68-47=21, Resulting Numbers: [21] 21,56 unequal: No Solution No 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: 56:[84, 31], Operations: ['93-25=68', '68-37=31'] Exploring Operation: 84*31=2604, Resulting Numbers: [2604] 2604,56 unequal: No Solution Exploring Operation: 84-31=53, Resulting Numbers: [53] 53,56 unequal: No Solution Exploring Operation: 84+31=115, Resulting Numbers: [115] 115,56 unequal: No Solution No 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: 56:[68, 121], Operations: ['93-25=68', '84+37=121'] Exploring Operation: 121-68=53, Resulting Numbers: [53] 53,56 unequal: No Solution Exploring Operation: 68+121=189, Resulting Numbers: [189] 189,56 unequal: No Solution Exploring Operation: 68*121=8228, Resulting Numbers: [8228] 8228,56 unequal: No Solution No 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: 56:[84, 105], Operations: ['93-25=68', '37+68=105'] Exploring Operation: 105-84=21, Resulting Numbers: [21] 21,56 unequal: No Solution Exploring Operation: 84+105=189, Resulting Numbers: [189] 189,56 unequal: No Solution Exploring Operation: 84*105=8820, Resulting Numbers: [8820] 8820,56 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3,2 Current State: 56:[25, 28], Operations: ['93-84=9', '37-9=28'] Exploring Operation: 28-25=3, Resulting Numbers: [3] 3,56 unequal: No Solution Exploring Operation: 25+28=53, Resulting Numbers: [53] 53,56 unequal: No Solution Exploring Operation: 25*28=700, Resulting Numbers: [700] 700,56 unequal: No Solution Moving to Node #0,0,1 Current State: 56:[25, 28], Operations: ['93-37=56', '84-56=28'] Exploring Operation: 28-25=3, Resulting Numbers: [3] 3,56 unequal: No Solution Exploring Operation: 25+28=53, Resulting Numbers: [53] 53,56 unequal: No Solution Exploring Operation: 25*28=700, Resulting Numbers: [700] 700,56 unequal: No Solution Moving to Node #0,0,4 Current State: 56:[56, 59], Operations: ['93-37=56', '84-25=59'] Exploring Operation: 56*59=3304, Resulting Numbers: [3304] 3304,56 unequal: No Solution Exploring Operation: 56+59=115, Resulting Numbers: [115] 115,56 unequal: No Solution Exploring Operation: 59-56=3, Resulting Numbers: [3] 3,56 unequal: No Solution Moving to Node #0,3,3 Current State: 56:[9, 12], Operations: ['93-84=9', '37-25=12'] Exploring Operation: 12-9=3, Resulting Numbers: [3] 3,56 unequal: No Solution Exploring Operation: 9*12=108, Resulting Numbers: [108] 108,56 unequal: No Solution Exploring Operation: 9+12=21, Resulting Numbers: [21] 21,56 unequal: No Solution Moving to Node #0,3,4 Current State: 56:[9, 62], Operations: ['93-84=9', '25+37=62'] Exploring Operation: 9+62=71, Resulting Numbers: [71] 71,56 unequal: No Solution Exploring Operation: 9*62=558, Resulting Numbers: [558] 558,56 unequal: No Solution Exploring Operation: 62-9=53, Resulting Numbers: [53] 53,56 unequal: No Solution Moving to Node #0,3,0 Current State: 56:[37, 16], Operations: ['93-84=9', '25-9=16'] Exploring Operation: 37-16=21, Resulting Numbers: [21] 21,56 unequal: No Solution Exploring Operation: 37+16=53, Resulting Numbers: [53] 53,56 unequal: No Solution Exploring Operation: 37*16=592, Resulting Numbers: [592] 592,56 unequal: No Solution Moving to Node #0,3,1 Current State: 56:[25, 46], Operations: ['93-84=9', '37+9=46'] Exploring Operation: 25*46=1150, Resulting Numbers: [1150] 1150,56 unequal: No Solution Exploring Operation: 46-25=21, Resulting Numbers: [21] 21,56 unequal: No Solution Exploring Operation: 25+46=71, Resulting Numbers: [71] 71,56 unequal: No Solution Moving to Node #0,0,3 Current State: 56:[84, 31], Operations: ['93-37=56', '56-25=31'] Exploring Operation: 84+31=115, Resulting Numbers: [115] 115,56 unequal: No Solution Exploring Operation: 84*31=2604, Resulting Numbers: [2604] 2604,56 unequal: No Solution Exploring Operation: 84-31=53, Resulting Numbers: [53] 53,56 unequal: No Solution Moving to Node #0,0,2 Current State: 56:[56, 109], Operations: ['93-37=56', '84+25=109'] Exploring Operation: 109-56=53, Resulting Numbers: [53] 53,56 unequal: No Solution Exploring Operation: 56*109=6104, Resulting Numbers: [6104] 6104,56 unequal: No Solution Exploring Operation: 56+109=165, Resulting Numbers: [165] 165,56 unequal: No Solution Moving to Node #0,0,0 Current State: 56:[84, 81], Operations: ['93-37=56', '25+56=81'] Exploring Operation: 84+81=165, Resulting Numbers: [165] 165,56 unequal: No Solution Exploring Operation: 84*81=6804, Resulting Numbers: [6804] 6804,56 unequal: No Solution Exploring Operation: 84-81=3, Resulting Numbers: [3] 3,56 unequal: No Solution No solution found.
0
hs_5
mult_heuristic
[ 37, 41, 27, 40 ]
11
[ "37+41=78", "27+40=67", "78-67=11" ]
Current State: 11:[37, 41, 27, 40], Operations: [] Exploring Operation: 37+41=78, Resulting Numbers: [27, 40, 78] Generated Node #2: [27, 40, 78] from Operation: 37+41=78 Current State: 11:[27, 40, 78], Operations: ['37+41=78'] Exploring Operation: 27+40=67, Resulting Numbers: [78, 67] Generated Node #3: [78, 67] from Operation: 27+40=67 Current State: 11:[78, 67], Operations: ['37+41=78', '27+40=67'] Exploring Operation: 78-67=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
Current State: 11:[37, 41, 27, 40], Operations: [] Exploring Operation: 41-37=4, Resulting Numbers: [27, 40, 4] Generated Node #0,0: 11:[27, 40, 4] Operation: 41-37=4 Start Sub Search at level 1: Moving to Node #0,0 Current State: 11:[27, 40, 4], Operations: ['41-37=4'] Exploring Operation: 40-27=13, Resulting Numbers: [4, 13] Generated Node #0,0,0: 11:[4, 13] Operation: 40-27=13 Moving to Node #0,0,0 Current State: 11:[4, 13], Operations: ['41-37=4', '40-27=13'] Exploring Operation: 13-4=9, Resulting Numbers: [9] 9,11 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
[ 30, 64, 94, 33 ]
33
[ "30+64=94", "94+33=127", "127-94=33" ]
Current State: 33:[30, 64, 94, 33], Operations: [] Exploring Operation: 30+64=94, Resulting Numbers: [94, 33, 94] Generated Node #2: [94, 33, 94] from Operation: 30+64=94 Current State: 33:[94, 33, 94], Operations: ['30+64=94'] Exploring Operation: 94+33=127, Resulting Numbers: [127] 127,33 equal: Goal Reached Exploring Operation: 127-94=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
Current State: 33:[30, 64, 94, 33], Operations: [] Exploring Operation: 94-64=30, Resulting Numbers: [30, 33, 30] Generated Node #0,0: 33:[30, 33, 30] Operation: 94-64=30 Start Sub Search at level 1: Moving to Node #0,0 Current State: 33:[30, 33, 30], Operations: ['94-64=30'] Exploring Operation: 30/30=1, Resulting Numbers: [33, 1] Generated Node #0,0,0: 33:[33, 1] Operation: 30/30=1 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 33:[33, 1], Operations: ['94-64=30', '30/30=1'] Exploring Operation: 33*1=33, Resulting Numbers: [33] 33,33 equal: Goal Reached Moving to Node #0 Current State: 33:[30, 64, 94, 33], Operations: [] Exploring Operation: 94-64=30, Resulting Numbers: [30, 33, 30] Generated Node #0,0: 33:[30, 33, 30] Operation: 94-64=30 Moving to Node #0,0 Current State: 33:[30, 33, 30], Operations: ['94-64=30'] Exploring Operation: 30/30=1, Resulting Numbers: [33, 1] Generated Node #0,0,0: 33:[33, 1] Operation: 30/30=1 Moving to Node #0,0,0 Current State: 33:[33, 1], Operations: ['94-64=30', '30/30=1'] Exploring Operation: 33*1=33, Resulting Numbers: [33] 33,33 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.993924
hs_1
mult_heuristic
[ 51, 69, 63, 12 ]
53
[ "51+69=120", "120/12=10", "63-10=53" ]
Current State: 53:[51, 69, 63, 12], Operations: [] Exploring Operation: 51+69=120, Resulting Numbers: [63, 12, 120] Generated Node #2: [63, 12, 120] from Operation: 51+69=120 Current State: 53:[63, 12, 120], Operations: ['51+69=120'] Exploring Operation: 120/12=10, Resulting Numbers: [63, 10] Generated Node #3: [63, 10] from Operation: 120/12=10 Current State: 53:[63, 10], Operations: ['51+69=120', '120/12=10'] Exploring Operation: 63-10=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
Current State: 53:[51, 69, 63, 12], Operations: [] Exploring Operation: 69-12=57, Resulting Numbers: [51, 63, 57] Generated Node #0,0: 53:[51, 63, 57] Operation: 69-12=57 Exploring Operation: 63-12=51, Resulting Numbers: [51, 69, 51] Generated Node #0,1: 53:[51, 69, 51] Operation: 63-12=51 Moving to Node #0,0 Current State: 53:[51, 63, 57], Operations: ['69-12=57'] Exploring Operation: 63-51=12, Resulting Numbers: [57, 12] Generated Node #0,0,0: 53:[57, 12] Operation: 63-51=12 Exploring Operation: 63-57=6, Resulting Numbers: [51, 6] Generated Node #0,0,1: 53:[51, 6] Operation: 63-57=6 Moving to Node #0,1 Current State: 53:[51, 69, 51], Operations: ['63-12=51'] Exploring Operation: 69-51=18, Resulting Numbers: [51, 18] Generated Node #0,1,0: 53:[51, 18] Operation: 69-51=18 Exploring Operation: 69-51=18, Resulting Numbers: [51, 18] Generated Node #0,1,1: 53:[51, 18] Operation: 69-51=18 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 53:[51, 18], Operations: ['63-12=51', '69-51=18'] Exploring Operation: 51-18=33, Resulting Numbers: [33] 33,53 unequal: No Solution Exploring Operation: 51+18=69, Resulting Numbers: [69] 69,53 unequal: No Solution No 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: 53:[51, 18], Operations: ['63-12=51', '69-51=18'] Exploring Operation: 51+18=69, Resulting Numbers: [69] 69,53 unequal: No Solution Exploring Operation: 51-18=33, Resulting Numbers: [33] 33,53 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0,0 Current State: 53:[57, 12], Operations: ['69-12=57', '63-51=12'] Exploring Operation: 57+12=69, Resulting Numbers: [69] 69,53 unequal: No Solution Exploring Operation: 57-12=45, Resulting Numbers: [45] 45,53 unequal: No Solution Moving to Node #0,0,1 Current State: 53:[51, 6], Operations: ['69-12=57', '63-57=6'] Exploring Operation: 51+6=57, Resulting Numbers: [57] 57,53 unequal: No Solution Exploring Operation: 51-6=45, Resulting Numbers: [45] 45,53 unequal: No Solution No solution found.
0
hs_2
mult_heuristic
[ 84, 58, 2, 10 ]
10
[ "84/2=42", "58+42=100", "100/10=10" ]
Current State: 10:[84, 58, 2, 10], Operations: [] Exploring Operation: 84/2=42, Resulting Numbers: [58, 10, 42] Generated Node #2: [58, 10, 42] from Operation: 84/2=42 Current State: 10:[58, 10, 42], Operations: ['84/2=42'] Exploring Operation: 58+42=100, Resulting Numbers: [10, 100] Generated Node #3: [10, 100] from Operation: 58+42=100 Current State: 10:[10, 100], Operations: ['84/2=42', '58+42=100'] Exploring Operation: 100/10=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
Current State: 10:[84, 58, 2, 10], Operations: [] Exploring Operation: 84-10=74, Resulting Numbers: [58, 2, 74] Generated Node #0,0: 10:[58, 2, 74] Operation: 84-10=74 Exploring Operation: 84-58=26, Resulting Numbers: [2, 10, 26] Generated Node #0,1: 10:[2, 10, 26] Operation: 84-58=26 Exploring Operation: 58/2=29, Resulting Numbers: [84, 10, 29] Generated Node #0,2: 10:[84, 10, 29] Operation: 58/2=29 Exploring Operation: 84/2=42, Resulting Numbers: [58, 10, 42] Generated Node #0,3: 10:[58, 10, 42] Operation: 84/2=42 Moving to Node #0,1 Current State: 10:[2, 10, 26], Operations: ['84-58=26'] Exploring Operation: 26-2=24, Resulting Numbers: [10, 24] Generated Node #0,1,0: 10:[10, 24] Operation: 26-2=24 Exploring Operation: 26-10=16, Resulting Numbers: [2, 16] Generated Node #0,1,1: 10:[2, 16] Operation: 26-10=16 Exploring Operation: 10/2=5, Resulting Numbers: [26, 5] Generated Node #0,1,2: 10:[26, 5] Operation: 10/2=5 Exploring Operation: 26/2=13, Resulting Numbers: [10, 13] Generated Node #0,1,3: 10:[10, 13] Operation: 26/2=13 Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 10:[10, 13], Operations: ['84-58=26', '26/2=13'] Exploring Operation: 13-10=3, Resulting Numbers: [3] 3,10 unequal: No Solution Exploring Operation: 10+13=23, Resulting Numbers: [23] 23,10 unequal: No Solution Exploring Operation: 10*13=130, Resulting Numbers: [130] 130,10 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:[2, 16], Operations: ['84-58=26', '26-10=16'] Exploring Operation: 16-2=14, Resulting Numbers: [14] 14,10 unequal: No Solution Exploring Operation: 16/2=8, Resulting Numbers: [8] 8,10 unequal: No Solution Exploring Operation: 2+16=18, Resulting Numbers: [18] 18,10 unequal: No Solution Exploring Operation: 2*16=32, Resulting Numbers: [32] 32,10 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 #0,1,0 Current State: 10:[10, 24], Operations: ['84-58=26', '26-2=24'] Exploring Operation: 10*24=240, Resulting Numbers: [240] 240,10 unequal: No Solution Exploring Operation: 10+24=34, Resulting Numbers: [34] 34,10 unequal: No Solution Exploring Operation: 24-10=14, Resulting Numbers: [14] 14,10 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 #0,1,2 Current State: 10:[26, 5], Operations: ['84-58=26', '10/2=5'] Exploring Operation: 26*5=130, Resulting Numbers: [130] 130,10 unequal: No Solution Exploring Operation: 26+5=31, Resulting Numbers: [31] 31,10 unequal: No Solution Exploring Operation: 26-5=21, Resulting Numbers: [21] 21,10 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: 10:[58, 10, 42], Operations: ['84/2=42'] Exploring Operation: 58-10=48, Resulting Numbers: [42, 48] Generated Node #0,3,0: 10:[42, 48] Operation: 58-10=48 Exploring Operation: 58-42=16, Resulting Numbers: [10, 16] Generated Node #0,3,1: 10:[10, 16] Operation: 58-42=16 Exploring Operation: 42-10=32, Resulting Numbers: [58, 32] Generated Node #0,3,2: 10:[58, 32] Operation: 42-10=32 Exploring Operation: 58+10=68, Resulting Numbers: [42, 68] Generated Node #0,3,3: 10:[42, 68] Operation: 58+10=68 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 10:[10, 16], Operations: ['84/2=42', '58-42=16'] Exploring Operation: 10*16=160, Resulting Numbers: [160] 160,10 unequal: No Solution Exploring Operation: 10+16=26, Resulting Numbers: [26] 26,10 unequal: No Solution Exploring Operation: 16-10=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 #0,3,0 Current State: 10:[42, 48], Operations: ['84/2=42', '58-10=48'] Exploring Operation: 42*48=2016, Resulting Numbers: [2016] 2016,10 unequal: No Solution Exploring Operation: 42+48=90, Resulting Numbers: [90] 90,10 unequal: No Solution Exploring Operation: 48-42=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 #0,3,2 Current State: 10:[58, 32], Operations: ['84/2=42', '42-10=32'] Exploring Operation: 58+32=90, Resulting Numbers: [90] 90,10 unequal: No Solution Exploring Operation: 58-32=26, Resulting Numbers: [26] 26,10 unequal: No Solution Exploring Operation: 58*32=1856, Resulting Numbers: [1856] 1856,10 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 #0,3,3 Current State: 10:[42, 68], Operations: ['84/2=42', '58+10=68'] Exploring Operation: 42*68=2856, Resulting Numbers: [2856] 2856,10 unequal: No Solution Exploring Operation: 42+68=110, Resulting Numbers: [110] 110,10 unequal: No Solution Exploring Operation: 68-42=26, Resulting Numbers: [26] 26,10 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: 10:[84, 10, 29], Operations: ['58/2=29'] Exploring Operation: 84+10=94, Resulting Numbers: [29, 94] Generated Node #0,2,0: 10:[29, 94] Operation: 84+10=94 Exploring Operation: 84-10=74, Resulting Numbers: [29, 74] Generated Node #0,2,1: 10:[29, 74] Operation: 84-10=74 Exploring Operation: 84-29=55, Resulting Numbers: [10, 55] Generated Node #0,2,2: 10:[10, 55] Operation: 84-29=55 Exploring Operation: 29-10=19, Resulting Numbers: [84, 19] Generated Node #0,2,3: 10:[84, 19] Operation: 29-10=19 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 10:[10, 55], Operations: ['58/2=29', '84-29=55'] Exploring Operation: 10*55=550, Resulting Numbers: [550] 550,10 unequal: No Solution Exploring Operation: 55-10=45, Resulting Numbers: [45] 45,10 unequal: No Solution Exploring Operation: 10+55=65, Resulting Numbers: [65] 65,10 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:[29, 74], Operations: ['58/2=29', '84-10=74'] Exploring Operation: 74-29=45, Resulting Numbers: [45] 45,10 unequal: No Solution Exploring Operation: 29+74=103, Resulting Numbers: [103] 103,10 unequal: No Solution Exploring Operation: 29*74=2146, Resulting Numbers: [2146] 2146,10 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 #0,2,3 Current State: 10:[84, 19], Operations: ['58/2=29', '29-10=19'] Exploring Operation: 84*19=1596, Resulting Numbers: [1596] 1596,10 unequal: No Solution Exploring Operation: 84-19=65, Resulting Numbers: [65] 65,10 unequal: No Solution Exploring Operation: 84+19=103, Resulting Numbers: [103] 103,10 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:[29, 94], Operations: ['58/2=29', '84+10=94'] Exploring Operation: 94-29=65, Resulting Numbers: [65] 65,10 unequal: No Solution Exploring Operation: 29*94=2726, Resulting Numbers: [2726] 2726,10 unequal: No Solution Exploring Operation: 29+94=123, Resulting Numbers: [123] 123,10 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:[58, 2, 74], Operations: ['84-10=74'] Exploring Operation: 58-2=56, Resulting Numbers: [74, 56] Generated Node #0,0,0: 10:[74, 56] Operation: 58-2=56 Exploring Operation: 74/2=37, Resulting Numbers: [58, 37] Generated Node #0,0,1: 10:[58, 37] Operation: 74/2=37 Exploring Operation: 74-58=16, Resulting Numbers: [2, 16] Generated Node #0,0,2: 10:[2, 16] Operation: 74-58=16 Exploring Operation: 58/2=29, Resulting Numbers: [74, 29] Generated Node #0,0,3: 10:[74, 29] Operation: 58/2=29 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 10:[2, 16], Operations: ['84-10=74', '74-58=16'] Exploring Operation: 2*16=32, Resulting Numbers: [32] 32,10 unequal: No Solution Exploring Operation: 16-2=14, Resulting Numbers: [14] 14,10 unequal: No Solution Exploring Operation: 2+16=18, Resulting Numbers: [18] 18,10 unequal: No Solution Exploring Operation: 16/2=8, Resulting Numbers: [8] 8,10 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 10:[58, 37], Operations: ['84-10=74', '74/2=37'] Exploring Operation: 58-37=21, Resulting Numbers: [21] 21,10 unequal: No Solution Exploring Operation: 58+37=95, Resulting Numbers: [95] 95,10 unequal: No Solution Exploring Operation: 58*37=2146, Resulting Numbers: [2146] 2146,10 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 10:[74, 29], Operations: ['84-10=74', '58/2=29'] Exploring Operation: 74-29=45, Resulting Numbers: [45] 45,10 unequal: No Solution Exploring Operation: 74+29=103, Resulting Numbers: [103] 103,10 unequal: No Solution Exploring Operation: 74*29=2146, Resulting Numbers: [2146] 2146,10 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 10:[74, 56], Operations: ['84-10=74', '58-2=56'] Exploring Operation: 74-56=18, Resulting Numbers: [18] 18,10 unequal: No Solution Exploring Operation: 74+56=130, Resulting Numbers: [130] 130,10 unequal: No Solution Exploring Operation: 74*56=4144, Resulting Numbers: [4144] 4144,10 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
[ 7, 74, 3, 91 ]
13
[ "7+74=81", "3+91=94", "94-81=13" ]
Current State: 13:[7, 74, 3, 91], Operations: [] Exploring Operation: 7+74=81, Resulting Numbers: [3, 91, 81] Generated Node #2: [3, 91, 81] from Operation: 7+74=81 Current State: 13:[3, 91, 81], Operations: ['7+74=81'] Exploring Operation: 3+91=94, Resulting Numbers: [81, 94] Generated Node #3: [81, 94] from Operation: 3+91=94 Current State: 13:[81, 94], Operations: ['7+74=81', '3+91=94'] Exploring Operation: 94-81=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
Current State: 13:[7, 74, 3, 91], Operations: [] Exploring Operation: 91/7=13, Resulting Numbers: [74, 3, 13] Generated Node #0,0: 13:[74, 3, 13] Operation: 91/7=13 Exploring Operation: 91-74=17, Resulting Numbers: [7, 3, 17] Generated Node #0,1: 13:[7, 3, 17] Operation: 91-74=17 Exploring Operation: 74-7=67, Resulting Numbers: [3, 91, 67] Generated Node #0,2: 13:[3, 91, 67] Operation: 74-7=67 Start Sub Search at level 1: Moving to Node #0,1 Current State: 13:[7, 3, 17], Operations: ['91-74=17'] Exploring Operation: 7+3=10, Resulting Numbers: [17, 10] Generated Node #0,1,0: 13:[17, 10] Operation: 7+3=10 Exploring Operation: 7*3=21, Resulting Numbers: [17, 21] Generated Node #0,1,1: 13:[17, 21] Operation: 7*3=21 Exploring Operation: 17-3=14, Resulting Numbers: [7, 14] Generated Node #0,1,2: 13:[7, 14] Operation: 17-3=14 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 13:[17, 10], Operations: ['91-74=17', '7+3=10'] Exploring Operation: 17+10=27, Resulting Numbers: [27] 27,13 unequal: No Solution Exploring Operation: 17*10=170, Resulting Numbers: [170] 170,13 unequal: No Solution Exploring Operation: 17-10=7, Resulting Numbers: [7] 7,13 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: 13:[7, 14], Operations: ['91-74=17', '17-3=14'] Exploring Operation: 14/7=2, Resulting Numbers: [2] 2,13 unequal: No Solution Exploring Operation: 7+14=21, Resulting Numbers: [21] 21,13 unequal: No Solution Exploring Operation: 14-7=7, Resulting Numbers: [7] 7,13 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: 13:[17, 21], Operations: ['91-74=17', '7*3=21'] Exploring Operation: 17*21=357, Resulting Numbers: [357] 357,13 unequal: No Solution Exploring Operation: 21-17=4, Resulting Numbers: [4] 4,13 unequal: No Solution Exploring Operation: 17+21=38, Resulting Numbers: [38] 38,13 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: 13:[74, 3, 13], Operations: ['91/7=13'] Exploring Operation: 74-3=71, Resulting Numbers: [13, 71] Generated Node #0,0,0: 13:[13, 71] Operation: 74-3=71 Exploring Operation: 74-13=61, Resulting Numbers: [3, 61] Generated Node #0,0,1: 13:[3, 61] Operation: 74-13=61 Exploring Operation: 74+3=77, Resulting Numbers: [13, 77] Generated Node #0,0,2: 13:[13, 77] Operation: 74+3=77 Moving to Node #0,0,0 Current State: 13:[13, 71], Operations: ['91/7=13', '74-3=71'] Exploring Operation: 71-13=58, Resulting Numbers: [58] 58,13 unequal: No Solution Exploring Operation: 13+71=84, Resulting Numbers: [84] 84,13 unequal: No Solution Exploring Operation: 13*71=923, Resulting Numbers: [923] 923,13 unequal: No Solution Moving to Node #0,0,1 Current State: 13:[3, 61], Operations: ['91/7=13', '74-13=61'] Exploring Operation: 3*61=183, Resulting Numbers: [183] 183,13 unequal: No Solution Exploring Operation: 3+61=64, Resulting Numbers: [64] 64,13 unequal: No Solution Exploring Operation: 61-3=58, Resulting Numbers: [58] 58,13 unequal: No Solution Moving to Node #0,0,2 Current State: 13:[13, 77], Operations: ['91/7=13', '74+3=77'] Exploring Operation: 77-13=64, Resulting Numbers: [64] 64,13 unequal: No Solution Exploring Operation: 13*77=1001, Resulting Numbers: [1001] 1001,13 unequal: No Solution Exploring Operation: 13+77=90, Resulting Numbers: [90] 90,13 unequal: No Solution No 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: 13:[3, 91, 67], Operations: ['74-7=67'] Exploring Operation: 67-3=64, Resulting Numbers: [91, 64] Generated Node #0,2,0: 13:[91, 64] Operation: 67-3=64 Exploring Operation: 91-67=24, Resulting Numbers: [3, 24] Generated Node #0,2,1: 13:[3, 24] Operation: 91-67=24 Exploring Operation: 91-3=88, Resulting Numbers: [67, 88] Generated Node #0,2,2: 13:[67, 88] Operation: 91-3=88 Moving to Node #0,2,1 Current State: 13:[3, 24], Operations: ['74-7=67', '91-67=24'] Exploring Operation: 3+24=27, Resulting Numbers: [27] 27,13 unequal: No Solution Exploring Operation: 24-3=21, Resulting Numbers: [21] 21,13 unequal: No Solution Exploring Operation: 24/3=8, Resulting Numbers: [8] 8,13 unequal: No Solution Moving to Node #0,2,0 Current State: 13:[91, 64], Operations: ['74-7=67', '67-3=64'] Exploring Operation: 91-64=27, Resulting Numbers: [27] 27,13 unequal: No Solution Exploring Operation: 91+64=155, Resulting Numbers: [155] 155,13 unequal: No Solution Exploring Operation: 91*64=5824, Resulting Numbers: [5824] 5824,13 unequal: No Solution Moving to Node #0,2,2 Current State: 13:[67, 88], Operations: ['74-7=67', '91-3=88'] Exploring Operation: 67+88=155, Resulting Numbers: [155] 155,13 unequal: No Solution Exploring Operation: 88-67=21, Resulting Numbers: [21] 21,13 unequal: No Solution Exploring Operation: 67*88=5896, Resulting Numbers: [5896] 5896,13 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
[ 62, 57, 72, 21 ]
33
[ "62-57=5", "21*5=105", "105-72=33" ]
Current State: 33:[62, 57, 72, 21], Operations: [] Exploring Operation: 62-57=5, Resulting Numbers: [72, 21, 5] Generated Node #2: [72, 21, 5] from Operation: 62-57=5 Current State: 33:[72, 21, 5], Operations: ['62-57=5'] Exploring Operation: 21*5=105, Resulting Numbers: [72, 105] Generated Node #3: [72, 105] from Operation: 21*5=105 Current State: 33:[72, 105], Operations: ['62-57=5', '21*5=105'] Exploring Operation: 105-72=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
Current State: 33:[62, 57, 72, 21], Operations: [] Exploring Operation: 62-21=41, Resulting Numbers: [57, 72, 41] Generated Node #0,0: 33:[57, 72, 41] Operation: 62-21=41 Exploring Operation: 72-62=10, Resulting Numbers: [57, 21, 10] Generated Node #0,1: 33:[57, 21, 10] Operation: 72-62=10 Exploring Operation: 72-57=15, Resulting Numbers: [62, 21, 15] Generated Node #0,2: 33:[62, 21, 15] Operation: 72-57=15 Exploring Operation: 62-57=5, Resulting Numbers: [72, 21, 5] Generated Node #0,3: 33:[72, 21, 5] Operation: 62-57=5 Moving to Node #0,1 Current State: 33:[57, 21, 10], Operations: ['72-62=10'] Exploring Operation: 21-10=11, Resulting Numbers: [57, 11] Generated Node #0,1,0: 33:[57, 11] Operation: 21-10=11 Exploring Operation: 21+10=31, Resulting Numbers: [57, 31] Generated Node #0,1,1: 33:[57, 31] Operation: 21+10=31 Exploring Operation: 57-21=36, Resulting Numbers: [10, 36] Generated Node #0,1,2: 33:[10, 36] Operation: 57-21=36 Exploring Operation: 57-10=47, Resulting Numbers: [21, 47] Generated Node #0,1,3: 33:[21, 47] Operation: 57-10=47 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 33:[10, 36], Operations: ['72-62=10', '57-21=36'] Exploring Operation: 36-10=26, Resulting Numbers: [26] 26,33 unequal: No Solution Exploring Operation: 10+36=46, Resulting Numbers: [46] 46,33 unequal: No Solution Exploring Operation: 10*36=360, Resulting Numbers: [360] 360,33 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 #0,1,0 Current State: 33:[57, 11], Operations: ['72-62=10', '21-10=11'] Exploring Operation: 57-11=46, Resulting Numbers: [46] 46,33 unequal: No Solution Exploring Operation: 57+11=68, Resulting Numbers: [68] 68,33 unequal: No Solution Exploring Operation: 57*11=627, Resulting Numbers: [627] 627,33 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 #0,1,3 Current State: 33:[21, 47], Operations: ['72-62=10', '57-10=47'] Exploring Operation: 21+47=68, Resulting Numbers: [68] 68,33 unequal: No Solution Exploring Operation: 47-21=26, Resulting Numbers: [26] 26,33 unequal: No Solution Exploring Operation: 21*47=987, Resulting Numbers: [987] 987,33 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 #0,1,1 Current State: 33:[57, 31], Operations: ['72-62=10', '21+10=31'] Exploring Operation: 57+31=88, Resulting Numbers: [88] 88,33 unequal: No Solution Exploring Operation: 57-31=26, Resulting Numbers: [26] 26,33 unequal: No Solution Exploring Operation: 57*31=1767, Resulting Numbers: [1767] 1767,33 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: 33:[62, 21, 15], Operations: ['72-57=15'] Exploring Operation: 21+15=36, Resulting Numbers: [62, 36] Generated Node #0,2,0: 33:[62, 36] Operation: 21+15=36 Exploring Operation: 62-15=47, Resulting Numbers: [21, 47] Generated Node #0,2,1: 33:[21, 47] Operation: 62-15=47 Exploring Operation: 62-21=41, Resulting Numbers: [15, 41] Generated Node #0,2,2: 33:[15, 41] Operation: 62-21=41 Exploring Operation: 21-15=6, Resulting Numbers: [62, 6] Generated Node #0,2,3: 33:[62, 6] Operation: 21-15=6 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 33:[15, 41], Operations: ['72-57=15', '62-21=41'] Exploring Operation: 15+41=56, Resulting Numbers: [56] 56,33 unequal: No Solution Exploring Operation: 41-15=26, Resulting Numbers: [26] 26,33 unequal: No Solution Exploring Operation: 15*41=615, Resulting Numbers: [615] 615,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 33:[21, 47], Operations: ['72-57=15', '62-15=47'] Exploring Operation: 21+47=68, Resulting Numbers: [68] 68,33 unequal: No Solution Exploring Operation: 47-21=26, Resulting Numbers: [26] 26,33 unequal: No Solution Exploring Operation: 21*47=987, Resulting Numbers: [987] 987,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 33:[62, 36], Operations: ['72-57=15', '21+15=36'] Exploring Operation: 62+36=98, Resulting Numbers: [98] 98,33 unequal: No Solution Exploring Operation: 62*36=2232, Resulting Numbers: [2232] 2232,33 unequal: No Solution Exploring Operation: 62-36=26, Resulting Numbers: [26] 26,33 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 #0,2,3 Current State: 33:[62, 6], Operations: ['72-57=15', '21-15=6'] Exploring Operation: 62-6=56, Resulting Numbers: [56] 56,33 unequal: No Solution Exploring Operation: 62*6=372, Resulting Numbers: [372] 372,33 unequal: No Solution Exploring Operation: 62+6=68, Resulting Numbers: [68] 68,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 33:[72, 21, 5], Operations: ['62-57=5'] Exploring Operation: 21-5=16, Resulting Numbers: [72, 16] Generated Node #0,3,0: 33:[72, 16] Operation: 21-5=16 Exploring Operation: 72-21=51, Resulting Numbers: [5, 51] Generated Node #0,3,1: 33:[5, 51] Operation: 72-21=51 Exploring Operation: 21+5=26, Resulting Numbers: [72, 26] Generated Node #0,3,2: 33:[72, 26] Operation: 21+5=26 Exploring Operation: 72-5=67, Resulting Numbers: [21, 67] Generated Node #0,3,3: 33:[21, 67] Operation: 72-5=67 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 33:[5, 51], Operations: ['62-57=5', '72-21=51'] Exploring Operation: 5*51=255, Resulting Numbers: [255] 255,33 unequal: No Solution Exploring Operation: 5+51=56, Resulting Numbers: [56] 56,33 unequal: No Solution Exploring Operation: 51-5=46, Resulting Numbers: [46] 46,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 33:[72, 16], Operations: ['62-57=5', '21-5=16'] Exploring Operation: 72-16=56, Resulting Numbers: [56] 56,33 unequal: No Solution Exploring Operation: 72*16=1152, Resulting Numbers: [1152] 1152,33 unequal: No Solution Exploring Operation: 72+16=88, Resulting Numbers: [88] 88,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 33:[21, 67], Operations: ['62-57=5', '72-5=67'] Exploring Operation: 67-21=46, Resulting Numbers: [46] 46,33 unequal: No Solution Exploring Operation: 21*67=1407, Resulting Numbers: [1407] 1407,33 unequal: No Solution Exploring Operation: 21+67=88, Resulting Numbers: [88] 88,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 33:[72, 26], Operations: ['62-57=5', '21+5=26'] Exploring Operation: 72+26=98, Resulting Numbers: [98] 98,33 unequal: No Solution Exploring Operation: 72*26=1872, Resulting Numbers: [1872] 1872,33 unequal: No Solution Exploring Operation: 72-26=46, Resulting Numbers: [46] 46,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 33:[57, 72, 41], Operations: ['62-21=41'] Exploring Operation: 57-41=16, Resulting Numbers: [72, 16] Generated Node #0,0,0: 33:[72, 16] Operation: 57-41=16 Exploring Operation: 72-41=31, Resulting Numbers: [57, 31] Generated Node #0,0,1: 33:[57, 31] Operation: 72-41=31 Exploring Operation: 72-57=15, Resulting Numbers: [41, 15] Generated Node #0,0,2: 33:[41, 15] Operation: 72-57=15 Exploring Operation: 57+72=129, Resulting Numbers: [41, 129] Generated Node #0,0,3: 33:[41, 129] Operation: 57+72=129 Moving to Node #0,0,2 Current State: 33:[41, 15], Operations: ['62-21=41', '72-57=15'] Exploring Operation: 41*15=615, Resulting Numbers: [615] 615,33 unequal: No Solution Exploring Operation: 41+15=56, Resulting Numbers: [56] 56,33 unequal: No Solution Exploring Operation: 41-15=26, Resulting Numbers: [26] 26,33 unequal: No Solution Moving to Node #0,0,1 Current State: 33:[57, 31], Operations: ['62-21=41', '72-41=31'] Exploring Operation: 57*31=1767, Resulting Numbers: [1767] 1767,33 unequal: No Solution Exploring Operation: 57+31=88, Resulting Numbers: [88] 88,33 unequal: No Solution Exploring Operation: 57-31=26, Resulting Numbers: [26] 26,33 unequal: No Solution Moving to Node #0,0,0 Current State: 33:[72, 16], Operations: ['62-21=41', '57-41=16'] Exploring Operation: 72*16=1152, Resulting Numbers: [1152] 1152,33 unequal: No Solution Exploring Operation: 72+16=88, Resulting Numbers: [88] 88,33 unequal: No Solution Exploring Operation: 72-16=56, Resulting Numbers: [56] 56,33 unequal: No Solution Moving to Node #0,0,3 Current State: 33:[41, 129], Operations: ['62-21=41', '57+72=129'] Exploring Operation: 41+129=170, Resulting Numbers: [170] 170,33 unequal: No Solution Exploring Operation: 41*129=5289, Resulting Numbers: [5289] 5289,33 unequal: No Solution Exploring Operation: 129-41=88, Resulting Numbers: [88] 88,33 unequal: No Solution No solution found.
0
hs_4
sum_heuristic
[ 28, 56, 59, 6 ]
93
[ "56-28=28", "59+6=65", "28+65=93" ]
Current State: 93:[28, 56, 59, 6], Operations: [] Exploring Operation: 56-28=28, Resulting Numbers: [59, 6, 28] Generated Node #2: [59, 6, 28] from Operation: 56-28=28 Current State: 93:[59, 6, 28], Operations: ['56-28=28'] Exploring Operation: 59+6=65, Resulting Numbers: [28, 65] Generated Node #3: [28, 65] from Operation: 59+6=65 Current State: 93:[28, 65], Operations: ['56-28=28', '59+6=65'] Exploring Operation: 28+65=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
Current State: 93:[28, 56, 59, 6], Operations: [] Exploring Operation: 59-56=3, Resulting Numbers: [28, 6, 3] Generated Node #0,0: 93:[28, 6, 3] Operation: 59-56=3 Start Sub Search at level 1: Moving to Node #0,0 Current State: 93:[28, 6, 3], Operations: ['59-56=3'] Exploring Operation: 28+6=34, Resulting Numbers: [3, 34] Generated Node #0,0,0: 93:[3, 34] Operation: 28+6=34 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 93:[3, 34], Operations: ['59-56=3', '28+6=34'] Exploring Operation: 34-3=31, Resulting Numbers: [31] 31,93 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
[ 74, 14, 38, 30 ]
13
[ "14*30=420", "74+420=494", "494/38=13" ]
Current State: 13:[74, 14, 38, 30], Operations: [] Exploring Operation: 14*30=420, Resulting Numbers: [74, 38, 420] Generated Node #2: [74, 38, 420] from Operation: 14*30=420 Current State: 13:[74, 38, 420], Operations: ['14*30=420'] Exploring Operation: 74+420=494, Resulting Numbers: [38, 494] Generated Node #3: [38, 494] from Operation: 74+420=494 Current State: 13:[38, 494], Operations: ['14*30=420', '74+420=494'] Exploring Operation: 494/38=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
Current State: 13:[74, 14, 38, 30], Operations: [] Exploring Operation: 38-30=8, Resulting Numbers: [74, 14, 8] Generated Node #0,0: 13:[74, 14, 8] Operation: 38-30=8 Exploring Operation: 74-38=36, Resulting Numbers: [14, 30, 36] Generated Node #0,1: 13:[14, 30, 36] Operation: 74-38=36 Exploring Operation: 74-14=60, Resulting Numbers: [38, 30, 60] Generated Node #0,2: 13:[38, 30, 60] Operation: 74-14=60 Exploring Operation: 74-30=44, Resulting Numbers: [14, 38, 44] Generated Node #0,3: 13:[14, 38, 44] Operation: 74-30=44 Moving to Node #0,1 Current State: 13:[14, 30, 36], Operations: ['74-38=36'] Exploring Operation: 36-14=22, Resulting Numbers: [30, 22] Generated Node #0,1,0: 13:[30, 22] Operation: 36-14=22 Exploring Operation: 36-30=6, Resulting Numbers: [14, 6] Generated Node #0,1,1: 13:[14, 6] Operation: 36-30=6 Exploring Operation: 30-14=16, Resulting Numbers: [36, 16] Generated Node #0,1,2: 13:[36, 16] Operation: 30-14=16 Exploring Operation: 14+30=44, Resulting Numbers: [36, 44] Generated Node #0,1,3: 13:[36, 44] Operation: 14+30=44 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 13:[14, 6], Operations: ['74-38=36', '36-30=6'] Exploring Operation: 14+6=20, Resulting Numbers: [20] 20,13 unequal: No Solution Exploring Operation: 14-6=8, Resulting Numbers: [8] 8,13 unequal: No Solution Exploring Operation: 14*6=84, Resulting Numbers: [84] 84,13 unequal: No Solution No 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: 13:[30, 22], Operations: ['74-38=36', '36-14=22'] Exploring Operation: 30*22=660, Resulting Numbers: [660] 660,13 unequal: No Solution Exploring Operation: 30+22=52, Resulting Numbers: [52] 52,13 unequal: No Solution Exploring Operation: 30-22=8, Resulting Numbers: [8] 8,13 unequal: No Solution No 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: 13:[36, 16], Operations: ['74-38=36', '30-14=16'] Exploring Operation: 36*16=576, Resulting Numbers: [576] 576,13 unequal: No Solution Exploring Operation: 36-16=20, Resulting Numbers: [20] 20,13 unequal: No Solution Exploring Operation: 36+16=52, Resulting Numbers: [52] 52,13 unequal: No Solution No 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: 13:[36, 44], Operations: ['74-38=36', '14+30=44'] Exploring Operation: 44-36=8, Resulting Numbers: [8] 8,13 unequal: No Solution Exploring Operation: 36*44=1584, Resulting Numbers: [1584] 1584,13 unequal: No Solution Exploring Operation: 36+44=80, Resulting Numbers: [80] 80,13 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: 13:[14, 38, 44], Operations: ['74-30=44'] Exploring Operation: 14+38=52, Resulting Numbers: [44, 52] Generated Node #0,3,0: 13:[44, 52] Operation: 14+38=52 Exploring Operation: 44-38=6, Resulting Numbers: [14, 6] Generated Node #0,3,1: 13:[14, 6] Operation: 44-38=6 Exploring Operation: 44-14=30, Resulting Numbers: [38, 30] Generated Node #0,3,2: 13:[38, 30] Operation: 44-14=30 Exploring Operation: 38-14=24, Resulting Numbers: [44, 24] Generated Node #0,3,3: 13:[44, 24] Operation: 38-14=24 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 13:[14, 6], Operations: ['74-30=44', '44-38=6'] Exploring Operation: 14*6=84, Resulting Numbers: [84] 84,13 unequal: No Solution Exploring Operation: 14-6=8, Resulting Numbers: [8] 8,13 unequal: No Solution Exploring Operation: 14+6=20, Resulting Numbers: [20] 20,13 unequal: No Solution No 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: 13:[38, 30], Operations: ['74-30=44', '44-14=30'] Exploring Operation: 38*30=1140, Resulting Numbers: [1140] 1140,13 unequal: No Solution Exploring Operation: 38+30=68, Resulting Numbers: [68] 68,13 unequal: No Solution Exploring Operation: 38-30=8, Resulting Numbers: [8] 8,13 unequal: No Solution No 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: 13:[44, 24], Operations: ['74-30=44', '38-14=24'] Exploring Operation: 44+24=68, Resulting Numbers: [68] 68,13 unequal: No Solution Exploring Operation: 44-24=20, Resulting Numbers: [20] 20,13 unequal: No Solution Exploring Operation: 44*24=1056, Resulting Numbers: [1056] 1056,13 unequal: No Solution No 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: 13:[44, 52], Operations: ['74-30=44', '14+38=52'] Exploring Operation: 52-44=8, Resulting Numbers: [8] 8,13 unequal: No Solution Exploring Operation: 44*52=2288, Resulting Numbers: [2288] 2288,13 unequal: No Solution Exploring Operation: 44+52=96, Resulting Numbers: [96] 96,13 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: 13:[74, 14, 8], Operations: ['38-30=8'] Exploring Operation: 74+8=82, Resulting Numbers: [14, 82] Generated Node #0,0,0: 13:[14, 82] Operation: 74+8=82 Exploring Operation: 14-8=6, Resulting Numbers: [74, 6] Generated Node #0,0,1: 13:[74, 6] Operation: 14-8=6 Exploring Operation: 74-14=60, Resulting Numbers: [8, 60] Generated Node #0,0,2: 13:[8, 60] Operation: 74-14=60 Exploring Operation: 74-8=66, Resulting Numbers: [14, 66] Generated Node #0,0,3: 13:[14, 66] Operation: 74-8=66 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 13:[8, 60], Operations: ['38-30=8', '74-14=60'] Exploring Operation: 8+60=68, Resulting Numbers: [68] 68,13 unequal: No Solution Exploring Operation: 60-8=52, Resulting Numbers: [52] 52,13 unequal: No Solution Exploring Operation: 8*60=480, Resulting Numbers: [480] 480,13 unequal: No Solution No 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: 13:[14, 66], Operations: ['38-30=8', '74-8=66'] Exploring Operation: 66-14=52, Resulting Numbers: [52] 52,13 unequal: No Solution Exploring Operation: 14+66=80, Resulting Numbers: [80] 80,13 unequal: No Solution Exploring Operation: 14*66=924, Resulting Numbers: [924] 924,13 unequal: No Solution No 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: 13:[74, 6], Operations: ['38-30=8', '14-8=6'] Exploring Operation: 74-6=68, Resulting Numbers: [68] 68,13 unequal: No Solution Exploring Operation: 74*6=444, Resulting Numbers: [444] 444,13 unequal: No Solution Exploring Operation: 74+6=80, Resulting Numbers: [80] 80,13 unequal: No Solution No 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: 13:[14, 82], Operations: ['38-30=8', '74+8=82'] Exploring Operation: 14+82=96, Resulting Numbers: [96] 96,13 unequal: No Solution Exploring Operation: 82-14=68, Resulting Numbers: [68] 68,13 unequal: No Solution Exploring Operation: 14*82=1148, Resulting Numbers: [1148] 1148,13 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: 13:[38, 30, 60], Operations: ['74-14=60'] Exploring Operation: 60-38=22, Resulting Numbers: [30, 22] Generated Node #0,2,0: 13:[30, 22] Operation: 60-38=22 Exploring Operation: 60-30=30, Resulting Numbers: [38, 30] Generated Node #0,2,1: 13:[38, 30] Operation: 60-30=30 Exploring Operation: 60/30=2, Resulting Numbers: [38, 2] Generated Node #0,2,2: 13:[38, 2] Operation: 60/30=2 Exploring Operation: 38-30=8, Resulting Numbers: [60, 8] Generated Node #0,2,3: 13:[60, 8] Operation: 38-30=8 Moving to Node #0,2,0 Current State: 13:[30, 22], Operations: ['74-14=60', '60-38=22'] Exploring Operation: 30-22=8, Resulting Numbers: [8] 8,13 unequal: No Solution Exploring Operation: 30*22=660, Resulting Numbers: [660] 660,13 unequal: No Solution Exploring Operation: 30+22=52, Resulting Numbers: [52] 52,13 unequal: No Solution Moving to Node #0,2,2 Current State: 13:[38, 2], Operations: ['74-14=60', '60/30=2'] Exploring Operation: 38*2=76, Resulting Numbers: [76] 76,13 unequal: No Solution Exploring Operation: 38+2=40, Resulting Numbers: [40] 40,13 unequal: No Solution Exploring Operation: 38-2=36, Resulting Numbers: [36] 36,13 unequal: No Solution Exploring Operation: 38/2=19, Resulting Numbers: [19] 19,13 unequal: No Solution Moving to Node #0,2,1 Current State: 13:[38, 30], Operations: ['74-14=60', '60-30=30'] Exploring Operation: 38*30=1140, Resulting Numbers: [1140] 1140,13 unequal: No Solution Exploring Operation: 38-30=8, Resulting Numbers: [8] 8,13 unequal: No Solution Exploring Operation: 38+30=68, Resulting Numbers: [68] 68,13 unequal: No Solution Moving to Node #0,2,3 Current State: 13:[60, 8], Operations: ['74-14=60', '38-30=8'] Exploring Operation: 60+8=68, Resulting Numbers: [68] 68,13 unequal: No Solution Exploring Operation: 60*8=480, Resulting Numbers: [480] 480,13 unequal: No Solution Exploring Operation: 60-8=52, Resulting Numbers: [52] 52,13 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 87, 87, 84, 31 ]
52
[ "87/87=1", "84-31=53", "53-1=52" ]
Current State: 52:[87, 87, 84, 31], Operations: [] Exploring Operation: 87/87=1, Resulting Numbers: [84, 31, 1] Generated Node #2: [84, 31, 1] from Operation: 87/87=1 Current State: 52:[84, 31, 1], Operations: ['87/87=1'] Exploring Operation: 84-31=53, Resulting Numbers: [1, 53] Generated Node #3: [1, 53] from Operation: 84-31=53 Current State: 52:[1, 53], Operations: ['87/87=1', '84-31=53'] Exploring Operation: 53-1=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
Current State: 52:[87, 87, 84, 31], Operations: [] Exploring Operation: 87-87=0, Resulting Numbers: [84, 31, 0] Generated Node #0,0: 52:[84, 31, 0] Operation: 87-87=0 Exploring Operation: 87/87=1, Resulting Numbers: [84, 31, 1] Generated Node #0,1: 52:[84, 31, 1] Operation: 87/87=1 Moving to Node #0,1 Current State: 52:[84, 31, 1], Operations: ['87/87=1'] Exploring Operation: 84-1=83, Resulting Numbers: [31, 83] Generated Node #0,1,0: 52:[31, 83] Operation: 84-1=83 Exploring Operation: 84-31=53, Resulting Numbers: [1, 53] Generated Node #0,1,1: 52:[1, 53] Operation: 84-31=53 Moving to Node #0,0 Current State: 52:[84, 31, 0], Operations: ['87-87=0'] Exploring Operation: 84-31=53, Resulting Numbers: [0, 53] Generated Node #0,0,0: 52:[0, 53] Operation: 84-31=53 Exploring Operation: 84*0=0, Resulting Numbers: [31, 0] Generated Node #0,0,1: 52:[31, 0] Operation: 84*0=0 Moving to Node #0,1,1 Current State: 52:[1, 53], Operations: ['87/87=1', '84-31=53'] Exploring Operation: 1*53=53, Resulting Numbers: [53] 53,52 unequal: No Solution Exploring Operation: 53-1=52, Resulting Numbers: [52] 52,52 equal: Goal Reached Moving to Node #0 Current State: 52:[87, 87, 84, 31], Operations: [] Exploring Operation: 87/87=1, Resulting Numbers: [84, 31, 1] Generated Node #0,1: 52:[84, 31, 1] Operation: 87/87=1 Moving to Node #0,1 Current State: 52:[84, 31, 1], Operations: ['87/87=1'] Exploring Operation: 84-31=53, Resulting Numbers: [1, 53] Generated Node #0,1,1: 52:[1, 53] Operation: 84-31=53 Moving to Node #0,1,1 Current State: 52:[1, 53], Operations: ['87/87=1', '84-31=53'] Exploring Operation: 53-1=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
0.989583
hs_2
sum_heuristic
[ 5, 30, 48, 34 ]
60
[ "5*48=240", "34-30=4", "240/4=60" ]
Current State: 60:[5, 30, 48, 34], Operations: [] Exploring Operation: 5*48=240, Resulting Numbers: [30, 34, 240] Generated Node #2: [30, 34, 240] from Operation: 5*48=240 Current State: 60:[30, 34, 240], Operations: ['5*48=240'] Exploring Operation: 34-30=4, Resulting Numbers: [240, 4] Generated Node #3: [240, 4] from Operation: 34-30=4 Current State: 60:[240, 4], Operations: ['5*48=240', '34-30=4'] Exploring Operation: 240/4=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
Current State: 60:[5, 30, 48, 34], Operations: [] Exploring Operation: 48-30=18, Resulting Numbers: [5, 34, 18] Generated Node #0,0: 60:[5, 34, 18] Operation: 48-30=18 Exploring Operation: 5+48=53, Resulting Numbers: [30, 34, 53] Generated Node #0,1: 60:[30, 34, 53] Operation: 5+48=53 Exploring Operation: 48-34=14, Resulting Numbers: [5, 30, 14] Generated Node #0,2: 60:[5, 30, 14] Operation: 48-34=14 Moving to Node #0,2 Current State: 60:[5, 30, 14], Operations: ['48-34=14'] Exploring Operation: 14-5=9, Resulting Numbers: [30, 9] Generated Node #0,2,0: 60:[30, 9] Operation: 14-5=9 Exploring Operation: 5+14=19, Resulting Numbers: [30, 19] Generated Node #0,2,1: 60:[30, 19] Operation: 5+14=19 Exploring Operation: 30/5=6, Resulting Numbers: [14, 6] Generated Node #0,2,2: 60:[14, 6] Operation: 30/5=6 Moving to Node #0,0 Current State: 60:[5, 34, 18], Operations: ['48-30=18'] Exploring Operation: 34-5=29, Resulting Numbers: [18, 29] Generated Node #0,0,0: 60:[18, 29] Operation: 34-5=29 Exploring Operation: 18-5=13, Resulting Numbers: [34, 13] Generated Node #0,0,1: 60:[34, 13] Operation: 18-5=13 Exploring Operation: 34-18=16, Resulting Numbers: [5, 16] Generated Node #0,0,2: 60:[5, 16] Operation: 34-18=16 Moving to Node #0,1 Current State: 60:[30, 34, 53], Operations: ['5+48=53'] Exploring Operation: 53-30=23, Resulting Numbers: [34, 23] Generated Node #0,1,0: 60:[34, 23] Operation: 53-30=23 Exploring Operation: 53-34=19, Resulting Numbers: [30, 19] Generated Node #0,1,1: 60:[30, 19] Operation: 53-34=19 Exploring Operation: 34-30=4, Resulting Numbers: [53, 4] Generated Node #0,1,2: 60:[53, 4] Operation: 34-30=4 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 60:[30, 19], Operations: ['5+48=53', '53-34=19'] Exploring Operation: 30+19=49, Resulting Numbers: [49] 49,60 unequal: No Solution Exploring Operation: 30-19=11, Resulting Numbers: [11] 11,60 unequal: No Solution Exploring Operation: 30*19=570, Resulting Numbers: [570] 570,60 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 60:[34, 23], Operations: ['5+48=53', '53-30=23'] Exploring Operation: 34-23=11, Resulting Numbers: [11] 11,60 unequal: No Solution Exploring Operation: 34*23=782, Resulting Numbers: [782] 782,60 unequal: No Solution Exploring Operation: 34+23=57, Resulting Numbers: [57] 57,60 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 60:[53, 4], Operations: ['5+48=53', '34-30=4'] Exploring Operation: 53-4=49, Resulting Numbers: [49] 49,60 unequal: No Solution Exploring Operation: 53+4=57, Resulting Numbers: [57] 57,60 unequal: No Solution Exploring Operation: 53*4=212, Resulting Numbers: [212] 212,60 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: 60:[30, 9], Operations: ['48-34=14', '14-5=9'] Exploring Operation: 30*9=270, Resulting Numbers: [270] 270,60 unequal: No Solution Exploring Operation: 30-9=21, Resulting Numbers: [21] 21,60 unequal: No Solution Exploring Operation: 30+9=39, Resulting Numbers: [39] 39,60 unequal: No Solution Moving to Node #0,2,2 Current State: 60:[14, 6], Operations: ['48-34=14', '30/5=6'] Exploring Operation: 14-6=8, Resulting Numbers: [8] 8,60 unequal: No Solution Exploring Operation: 14+6=20, Resulting Numbers: [20] 20,60 unequal: No Solution Exploring Operation: 14*6=84, Resulting Numbers: [84] 84,60 unequal: No Solution Moving to Node #0,2,1 Current State: 60:[30, 19], Operations: ['48-34=14', '5+14=19'] Exploring Operation: 30-19=11, Resulting Numbers: [11] 11,60 unequal: No Solution Exploring Operation: 30+19=49, Resulting Numbers: [49] 49,60 unequal: No Solution Exploring Operation: 30*19=570, Resulting Numbers: [570] 570,60 unequal: No Solution Moving to Node #0,0,2 Current State: 60:[5, 16], Operations: ['48-30=18', '34-18=16'] Exploring Operation: 5+16=21, Resulting Numbers: [21] 21,60 unequal: No Solution Exploring Operation: 16-5=11, Resulting Numbers: [11] 11,60 unequal: No Solution Exploring Operation: 5*16=80, Resulting Numbers: [80] 80,60 unequal: No Solution Moving to Node #0,0,0 Current State: 60:[18, 29], Operations: ['48-30=18', '34-5=29'] Exploring Operation: 18+29=47, Resulting Numbers: [47] 47,60 unequal: No Solution Exploring Operation: 18*29=522, Resulting Numbers: [522] 522,60 unequal: No Solution Exploring Operation: 29-18=11, Resulting Numbers: [11] 11,60 unequal: No Solution Moving to Node #0,0,1 Current State: 60:[34, 13], Operations: ['48-30=18', '18-5=13'] Exploring Operation: 34*13=442, Resulting Numbers: [442] 442,60 unequal: No Solution Exploring Operation: 34-13=21, Resulting Numbers: [21] 21,60 unequal: No Solution Exploring Operation: 34+13=47, Resulting Numbers: [47] 47,60 unequal: No Solution No solution found.
0
hs_3
sum_heuristic
[ 45, 42, 95, 8 ]
100
[ "45-42=3", "95+8=103", "103-3=100" ]
Current State: 100:[45, 42, 95, 8], Operations: [] Exploring Operation: 45-42=3, Resulting Numbers: [95, 8, 3] Generated Node #2: [95, 8, 3] from Operation: 45-42=3 Current State: 100:[95, 8, 3], Operations: ['45-42=3'] Exploring Operation: 95+8=103, Resulting Numbers: [3, 103] Generated Node #3: [3, 103] from Operation: 95+8=103 Current State: 100:[3, 103], Operations: ['45-42=3', '95+8=103'] Exploring Operation: 103-3=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
Current State: 100:[45, 42, 95, 8], Operations: [] Exploring Operation: 45-42=3, Resulting Numbers: [95, 8, 3] Generated Node #0,0: 100:[95, 8, 3] Operation: 45-42=3 Moving to Node #0,0 Current State: 100:[95, 8, 3], Operations: ['45-42=3'] Exploring Operation: 95+8=103, Resulting Numbers: [3, 103] Generated Node #0,0,0: 100:[3, 103] Operation: 95+8=103 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 100:[3, 103], Operations: ['45-42=3', '95+8=103'] Exploring Operation: 103-3=100, Resulting Numbers: [100] 100,100 equal: Goal Reached Moving to Node #0 Current State: 100:[45, 42, 95, 8], Operations: [] Exploring Operation: 45-42=3, Resulting Numbers: [95, 8, 3] Generated Node #0,0: 100:[95, 8, 3] Operation: 45-42=3 Moving to Node #0,0 Current State: 100:[95, 8, 3], Operations: ['45-42=3'] Exploring Operation: 95+8=103, Resulting Numbers: [3, 103] Generated Node #0,0,0: 100:[3, 103] Operation: 95+8=103 Moving to Node #0,0,0 Current State: 100:[3, 103], Operations: ['45-42=3', '95+8=103'] Exploring Operation: 103-3=100, Resulting Numbers: [100] 100,100 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
sum_heuristic
[ 18, 42, 96, 12 ]
24
[ "18+42=60", "96-12=84", "84-60=24" ]
Current State: 24:[18, 42, 96, 12], Operations: [] Exploring Operation: 18+42=60, Resulting Numbers: [96, 12, 60] Generated Node #2: [96, 12, 60] from Operation: 18+42=60 Current State: 24:[96, 12, 60], Operations: ['18+42=60'] Exploring Operation: 96-12=84, Resulting Numbers: [60, 84] Generated Node #3: [60, 84] from Operation: 96-12=84 Current State: 24:[60, 84], Operations: ['18+42=60', '96-12=84'] Exploring Operation: 84-60=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
Current State: 24:[18, 42, 96, 12], Operations: [] Exploring Operation: 96-42=54, Resulting Numbers: [18, 12, 54] Generated Node #0,0: 24:[18, 12, 54] Operation: 96-42=54 Exploring Operation: 42-18=24, Resulting Numbers: [96, 12, 24] Generated Node #0,1: 24:[96, 12, 24] Operation: 42-18=24 Exploring Operation: 96-18=78, Resulting Numbers: [42, 12, 78] Generated Node #0,2: 24:[42, 12, 78] Operation: 96-18=78 Exploring Operation: 96/12=8, Resulting Numbers: [18, 42, 8] Generated Node #0,3: 24:[18, 42, 8] Operation: 96/12=8 Exploring Operation: 42-12=30, Resulting Numbers: [18, 96, 30] Generated Node #0,4: 24:[18, 96, 30] Operation: 42-12=30 Start Sub Search at level 1: Moving to Node #0,3 Current State: 24:[18, 42, 8], Operations: ['96/12=8'] Exploring Operation: 42+8=50, Resulting Numbers: [18, 50] Generated Node #0,3,0: 24:[18, 50] Operation: 42+8=50 Exploring Operation: 18+8=26, Resulting Numbers: [42, 26] Generated Node #0,3,1: 24:[42, 26] Operation: 18+8=26 Exploring Operation: 42-8=34, Resulting Numbers: [18, 34] Generated Node #0,3,2: 24:[18, 34] Operation: 42-8=34 Exploring Operation: 18-8=10, Resulting Numbers: [42, 10] Generated Node #0,3,3: 24:[42, 10] Operation: 18-8=10 Exploring Operation: 42-18=24, Resulting Numbers: [8, 24] Generated Node #0,3,4: 24:[8, 24] Operation: 42-18=24 Start Sub Search at level 2: Moving to Node #0,3,4 Current State: 24:[8, 24], Operations: ['96/12=8', '42-18=24'] Exploring Operation: 8*24=192, Resulting Numbers: [192] 192,24 unequal: No Solution Exploring Operation: 8+24=32, Resulting Numbers: [32] 32,24 unequal: No Solution Exploring Operation: 24-8=16, Resulting Numbers: [16] 16,24 unequal: No Solution Exploring Operation: 24/8=3, Resulting Numbers: [3] 3,24 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: 24:[18, 34], Operations: ['96/12=8', '42-8=34'] Exploring Operation: 18*34=612, Resulting Numbers: [612] 612,24 unequal: No Solution Exploring Operation: 34-18=16, Resulting Numbers: [16] 16,24 unequal: No Solution Exploring Operation: 18+34=52, Resulting Numbers: [52] 52,24 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: 24:[42, 26], Operations: ['96/12=8', '18+8=26'] Exploring Operation: 42*26=1092, Resulting Numbers: [1092] 1092,24 unequal: No Solution Exploring Operation: 42-26=16, Resulting Numbers: [16] 16,24 unequal: No Solution Exploring Operation: 42+26=68, Resulting Numbers: [68] 68,24 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: 24:[42, 10], Operations: ['96/12=8', '18-8=10'] Exploring Operation: 42+10=52, Resulting Numbers: [52] 52,24 unequal: No Solution Exploring Operation: 42*10=420, Resulting Numbers: [420] 420,24 unequal: No Solution Exploring Operation: 42-10=32, Resulting Numbers: [32] 32,24 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: 24:[18, 50], Operations: ['96/12=8', '42+8=50'] Exploring Operation: 18*50=900, Resulting Numbers: [900] 900,24 unequal: No Solution Exploring Operation: 18+50=68, Resulting Numbers: [68] 68,24 unequal: No Solution Exploring Operation: 50-18=32, Resulting Numbers: [32] 32,24 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: 24:[18, 12, 54], Operations: ['96-42=54'] Exploring Operation: 54-12=42, Resulting Numbers: [18, 42] Generated Node #0,0,0: 24:[18, 42] Operation: 54-12=42 Exploring Operation: 54/18=3, Resulting Numbers: [12, 3] Generated Node #0,0,1: 24:[12, 3] Operation: 54/18=3 Exploring Operation: 54-18=36, Resulting Numbers: [12, 36] Generated Node #0,0,2: 24:[12, 36] Operation: 54-18=36 Exploring Operation: 18+12=30, Resulting Numbers: [54, 30] Generated Node #0,0,3: 24:[54, 30] Operation: 18+12=30 Exploring Operation: 18-12=6, Resulting Numbers: [54, 6] Generated Node #0,0,4: 24:[54, 6] Operation: 18-12=6 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 24:[12, 3], Operations: ['96-42=54', '54/18=3'] Exploring Operation: 12+3=15, Resulting Numbers: [15] 15,24 unequal: No Solution Exploring Operation: 12*3=36, Resulting Numbers: [36] 36,24 unequal: No Solution Exploring Operation: 12-3=9, Resulting Numbers: [9] 9,24 unequal: No Solution Exploring Operation: 12/3=4, Resulting Numbers: [4] 4,24 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: 24:[12, 36], Operations: ['96-42=54', '54-18=36'] Exploring Operation: 12+36=48, Resulting Numbers: [48] 48,24 unequal: No Solution Exploring Operation: 12*36=432, Resulting Numbers: [432] 432,24 unequal: No Solution Exploring Operation: 36-12=24, Resulting Numbers: [24] 24,24 equal: Goal Reached Moving to Node #0 Current State: 24:[18, 42, 96, 12], Operations: [] Exploring Operation: 96-42=54, Resulting Numbers: [18, 12, 54] Generated Node #0,0: 24:[18, 12, 54] Operation: 96-42=54 Moving to Node #0,0 Current State: 24:[18, 12, 54], Operations: ['96-42=54'] Exploring Operation: 54-18=36, Resulting Numbers: [12, 36] Generated Node #0,0,2: 24:[12, 36] Operation: 54-18=36 Moving to Node #0,0,2 Current State: 24:[12, 36], Operations: ['96-42=54', '54-18=36'] Exploring Operation: 36-12=24, Resulting Numbers: [24] 24,24 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.963542
hs_5
sum_heuristic
[ 68, 2, 24, 91 ]
71
[ "91-68=23", "2*24=48", "23+48=71" ]
Current State: 71:[68, 2, 24, 91], Operations: [] Exploring Operation: 91-68=23, Resulting Numbers: [2, 24, 23] Generated Node #2: [2, 24, 23] from Operation: 91-68=23 Current State: 71:[2, 24, 23], Operations: ['91-68=23'] Exploring Operation: 2*24=48, Resulting Numbers: [23, 48] Generated Node #3: [23, 48] from Operation: 2*24=48 Current State: 71:[23, 48], Operations: ['91-68=23', '2*24=48'] Exploring Operation: 23+48=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
Current State: 71:[68, 2, 24, 91], Operations: [] Exploring Operation: 2*24=48, Resulting Numbers: [68, 91, 48] Generated Node #0,0: 71:[68, 91, 48] Operation: 2*24=48 Start Sub Search at level 1: Moving to Node #0,0 Current State: 71:[68, 91, 48], Operations: ['2*24=48'] Exploring Operation: 91-48=43, Resulting Numbers: [68, 43] Generated Node #0,0,0: 71:[68, 43] Operation: 91-48=43 Moving to Node #0,0,0 Current State: 71:[68, 43], Operations: ['2*24=48', '91-48=43'] Exploring Operation: 68+43=111, Resulting Numbers: [111] 111,71 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
[ 98, 25, 10, 20 ]
71
[ "98-25=73", "20/10=2", "73-2=71" ]
Current State: 71:[98, 25, 10, 20], Operations: [] Exploring Operation: 98-25=73, Resulting Numbers: [10, 20, 73] Generated Node #2: [10, 20, 73] from Operation: 98-25=73 Current State: 71:[10, 20, 73], Operations: ['98-25=73'] Exploring Operation: 20/10=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 20/10=2 Current State: 71:[73, 2], Operations: ['98-25=73', '20/10=2'] Exploring Operation: 73-2=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
Current State: 71:[98, 25, 10, 20], Operations: [] Exploring Operation: 98-25=73, Resulting Numbers: [10, 20, 73] Generated Node #0,0: 71:[10, 20, 73] Operation: 98-25=73 Exploring Operation: 98-10=88, Resulting Numbers: [25, 20, 88] Generated Node #0,1: 71:[25, 20, 88] Operation: 98-10=88 Start Sub Search at level 1: Moving to Node #0,0 Current State: 71:[10, 20, 73], Operations: ['98-25=73'] Exploring Operation: 10+20=30, Resulting Numbers: [73, 30] Generated Node #0,0,0: 71:[73, 30] Operation: 10+20=30 Exploring Operation: 73-10=63, Resulting Numbers: [20, 63] Generated Node #0,0,1: 71:[20, 63] Operation: 73-10=63 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 71:[73, 30], Operations: ['98-25=73', '10+20=30'] Exploring Operation: 73-30=43, Resulting Numbers: [43] 43,71 unequal: No Solution Exploring Operation: 73+30=103, Resulting Numbers: [103] 103,71 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 #0,0,1 Current State: 71:[20, 63], Operations: ['98-25=73', '73-10=63'] Exploring Operation: 63-20=43, Resulting Numbers: [43] 43,71 unequal: No Solution Exploring Operation: 20+63=83, Resulting Numbers: [83] 83,71 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: 71:[25, 20, 88], Operations: ['98-10=88'] Exploring Operation: 88-20=68, Resulting Numbers: [25, 68] Generated Node #0,1,0: 71:[25, 68] Operation: 88-20=68 Exploring Operation: 25+20=45, Resulting Numbers: [88, 45] Generated Node #0,1,1: 71:[88, 45] Operation: 25+20=45 Moving to Node #0,1,1 Current State: 71:[88, 45], Operations: ['98-10=88', '25+20=45'] Exploring Operation: 88-45=43, Resulting Numbers: [43] 43,71 unequal: No Solution Exploring Operation: 88+45=133, Resulting Numbers: [133] 133,71 unequal: No Solution Moving to Node #0,1,0 Current State: 71:[25, 68], Operations: ['98-10=88', '88-20=68'] Exploring Operation: 25+68=93, Resulting Numbers: [93] 93,71 unequal: No Solution Exploring Operation: 68-25=43, Resulting Numbers: [43] 43,71 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
[ 94, 96, 3, 91 ]
83
[ "94+96=190", "3*91=273", "273-190=83" ]
Current State: 83:[94, 96, 3, 91], Operations: [] Exploring Operation: 94+96=190, Resulting Numbers: [3, 91, 190] Generated Node #2: [3, 91, 190] from Operation: 94+96=190 Current State: 83:[3, 91, 190], Operations: ['94+96=190'] Exploring Operation: 3*91=273, Resulting Numbers: [190, 273] Generated Node #3: [190, 273] from Operation: 3*91=273 Current State: 83:[190, 273], Operations: ['94+96=190', '3*91=273'] Exploring Operation: 273-190=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
Current State: 83:[94, 96, 3, 91], Operations: [] Exploring Operation: 94+3=97, Resulting Numbers: [96, 91, 97] Generated Node #0,0: 83:[96, 91, 97] Operation: 94+3=97 Exploring Operation: 91-3=88, Resulting Numbers: [94, 96, 88] Generated Node #0,1: 83:[94, 96, 88] Operation: 91-3=88 Exploring Operation: 94-3=91, Resulting Numbers: [96, 91, 91] Generated Node #0,2: 83:[96, 91, 91] Operation: 94-3=91 Exploring Operation: 96+3=99, Resulting Numbers: [94, 91, 99] Generated Node #0,3: 83:[94, 91, 99] Operation: 96+3=99 Exploring Operation: 96-3=93, Resulting Numbers: [94, 91, 93] Generated Node #0,4: 83:[94, 91, 93] Operation: 96-3=93 Moving to Node #0,1 Current State: 83:[94, 96, 88], Operations: ['91-3=88'] Exploring Operation: 96-94=2, Resulting Numbers: [88, 2] Generated Node #0,1,0: 83:[88, 2] Operation: 96-94=2 Exploring Operation: 94+96=190, Resulting Numbers: [88, 190] Generated Node #0,1,1: 83:[88, 190] Operation: 94+96=190 Exploring Operation: 94-88=6, Resulting Numbers: [96, 6] Generated Node #0,1,2: 83:[96, 6] Operation: 94-88=6 Exploring Operation: 96-88=8, Resulting Numbers: [94, 8] Generated Node #0,1,3: 83:[94, 8] Operation: 96-88=8 Exploring Operation: 94+88=182, Resulting Numbers: [96, 182] Generated Node #0,1,4: 83:[96, 182] Operation: 94+88=182 Moving to Node #0,4 Current State: 83:[94, 91, 93], Operations: ['96-3=93'] Exploring Operation: 94-93=1, Resulting Numbers: [91, 1] Generated Node #0,4,0: 83:[91, 1] Operation: 94-93=1 Exploring Operation: 94-91=3, Resulting Numbers: [93, 3] Generated Node #0,4,1: 83:[93, 3] Operation: 94-91=3 Exploring Operation: 94+93=187, Resulting Numbers: [91, 187] Generated Node #0,4,2: 83:[91, 187] Operation: 94+93=187 Exploring Operation: 94+91=185, Resulting Numbers: [93, 185] Generated Node #0,4,3: 83:[93, 185] Operation: 94+91=185 Exploring Operation: 93-91=2, Resulting Numbers: [94, 2] Generated Node #0,4,4: 83:[94, 2] Operation: 93-91=2 Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 83:[91, 1], Operations: ['96-3=93', '94-93=1'] Exploring Operation: 91+1=92, Resulting Numbers: [92] 92,83 unequal: No Solution Exploring Operation: 91/1=91, Resulting Numbers: [91] 91,83 unequal: No Solution Exploring Operation: 91*1=91, Resulting Numbers: [91] 91,83 unequal: No Solution Exploring Operation: 91-1=90, Resulting Numbers: [90] 90,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 83:[93, 3], Operations: ['96-3=93', '94-91=3'] Exploring Operation: 93*3=279, Resulting Numbers: [279] 279,83 unequal: No Solution Exploring Operation: 93+3=96, Resulting Numbers: [96] 96,83 unequal: No Solution Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,83 unequal: No Solution Exploring Operation: 93-3=90, Resulting Numbers: [90] 90,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 83:[94, 2], Operations: ['96-3=93', '93-91=2'] Exploring Operation: 94/2=47, Resulting Numbers: [47] 47,83 unequal: No Solution Exploring Operation: 94+2=96, Resulting Numbers: [96] 96,83 unequal: No Solution Exploring Operation: 94-2=92, Resulting Numbers: [92] 92,83 unequal: No Solution Exploring Operation: 94*2=188, Resulting Numbers: [188] 188,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 83:[91, 187], Operations: ['96-3=93', '94+93=187'] Exploring Operation: 91+187=278, Resulting Numbers: [278] 278,83 unequal: No Solution Exploring Operation: 187-91=96, Resulting Numbers: [96] 96,83 unequal: No Solution Exploring Operation: 91*187=17017, Resulting Numbers: [17017] 17017,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 83:[93, 185], Operations: ['96-3=93', '94+91=185'] Exploring Operation: 93*185=17205, Resulting Numbers: [17205] 17205,83 unequal: No Solution Exploring Operation: 93+185=278, Resulting Numbers: [278] 278,83 unequal: No Solution Exploring Operation: 185-93=92, Resulting Numbers: [92] 92,83 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: 83:[96, 91, 91], Operations: ['94-3=91'] Exploring Operation: 91-91=0, Resulting Numbers: [96, 0] Generated Node #0,2,0: 83:[96, 0] Operation: 91-91=0 Exploring Operation: 91/91=1, Resulting Numbers: [96, 1] Generated Node #0,2,1: 83:[96, 1] Operation: 91/91=1 Exploring Operation: 96-91=5, Resulting Numbers: [91, 5] Generated Node #0,2,2: 83:[91, 5] Operation: 96-91=5 Exploring Operation: 96-91=5, Resulting Numbers: [91, 5] Generated Node #0,2,3: 83:[91, 5] Operation: 96-91=5 Exploring Operation: 96+91=187, Resulting Numbers: [91, 187] Generated Node #0,2,4: 83:[91, 187] Operation: 96+91=187 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 83:[91, 5], Operations: ['94-3=91', '96-91=5'] Exploring Operation: 91-5=86, Resulting Numbers: [86] 86,83 unequal: No Solution Exploring Operation: 91+5=96, Resulting Numbers: [96] 96,83 unequal: No Solution Exploring Operation: 91*5=455, Resulting Numbers: [455] 455,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 83:[91, 5], Operations: ['94-3=91', '96-91=5'] Exploring Operation: 91+5=96, Resulting Numbers: [96] 96,83 unequal: No Solution Exploring Operation: 91-5=86, Resulting Numbers: [86] 86,83 unequal: No Solution Exploring Operation: 91*5=455, Resulting Numbers: [455] 455,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 83:[96, 1], Operations: ['94-3=91', '91/91=1'] Exploring Operation: 96+1=97, Resulting Numbers: [97] 97,83 unequal: No Solution Exploring Operation: 96-1=95, Resulting Numbers: [95] 95,83 unequal: No Solution Exploring Operation: 96*1=96, Resulting Numbers: [96] 96,83 unequal: No Solution Exploring Operation: 96/1=96, Resulting Numbers: [96] 96,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 83:[96, 0], Operations: ['94-3=91', '91-91=0'] Exploring Operation: 96-0=96, Resulting Numbers: [96] 96,83 unequal: No Solution Exploring Operation: 96*0=0, Resulting Numbers: [0] 0,83 unequal: No Solution Exploring Operation: 96+0=96, Resulting Numbers: [96] 96,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 83:[91, 187], Operations: ['94-3=91', '96+91=187'] Exploring Operation: 91+187=278, Resulting Numbers: [278] 278,83 unequal: No Solution Exploring Operation: 91*187=17017, Resulting Numbers: [17017] 17017,83 unequal: No Solution Exploring Operation: 187-91=96, Resulting Numbers: [96] 96,83 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: 83:[96, 91, 97], Operations: ['94+3=97'] Exploring Operation: 97-91=6, Resulting Numbers: [96, 6] Generated Node #0,0,0: 83:[96, 6] Operation: 97-91=6 Exploring Operation: 96+97=193, Resulting Numbers: [91, 193] Generated Node #0,0,1: 83:[91, 193] Operation: 96+97=193 Exploring Operation: 96-91=5, Resulting Numbers: [97, 5] Generated Node #0,0,2: 83:[97, 5] Operation: 96-91=5 Exploring Operation: 97-96=1, Resulting Numbers: [91, 1] Generated Node #0,0,3: 83:[91, 1] Operation: 97-96=1 Exploring Operation: 96+91=187, Resulting Numbers: [97, 187] Generated Node #0,0,4: 83:[97, 187] Operation: 96+91=187 Moving to Node #0,3 Current State: 83:[94, 91, 99], Operations: ['96+3=99'] Exploring Operation: 99-91=8, Resulting Numbers: [94, 8] Generated Node #0,3,0: 83:[94, 8] Operation: 99-91=8 Exploring Operation: 94+99=193, Resulting Numbers: [91, 193] Generated Node #0,3,1: 83:[91, 193] Operation: 94+99=193 Exploring Operation: 94+91=185, Resulting Numbers: [99, 185] Generated Node #0,3,2: 83:[99, 185] Operation: 94+91=185 Exploring Operation: 94-91=3, Resulting Numbers: [99, 3] Generated Node #0,3,3: 83:[99, 3] Operation: 94-91=3 Exploring Operation: 99-94=5, Resulting Numbers: [91, 5] Generated Node #0,3,4: 83:[91, 5] Operation: 99-94=5 Moving to Node #0,1,0 Current State: 83:[88, 2], Operations: ['91-3=88', '96-94=2'] Exploring Operation: 88-2=86, Resulting Numbers: [86] 86,83 unequal: No Solution Exploring Operation: 88/2=44, Resulting Numbers: [44] 44,83 unequal: No Solution Exploring Operation: 88*2=176, Resulting Numbers: [176] 176,83 unequal: No Solution Exploring Operation: 88+2=90, Resulting Numbers: [90] 90,83 unequal: No Solution Moving to Node #0,3,4 Current State: 83:[91, 5], Operations: ['96+3=99', '99-94=5'] Exploring Operation: 91+5=96, Resulting Numbers: [96] 96,83 unequal: No Solution Exploring Operation: 91-5=86, Resulting Numbers: [86] 86,83 unequal: No Solution Exploring Operation: 91*5=455, Resulting Numbers: [455] 455,83 unequal: No Solution Moving to Node #0,1,3 Current State: 83:[94, 8], Operations: ['91-3=88', '96-88=8'] Exploring Operation: 94+8=102, Resulting Numbers: [102] 102,83 unequal: No Solution Exploring Operation: 94*8=752, Resulting Numbers: [752] 752,83 unequal: No Solution Exploring Operation: 94-8=86, Resulting Numbers: [86] 86,83 unequal: No Solution Moving to Node #0,3,0 Current State: 83:[94, 8], Operations: ['96+3=99', '99-91=8'] Exploring Operation: 94+8=102, Resulting Numbers: [102] 102,83 unequal: No Solution Exploring Operation: 94-8=86, Resulting Numbers: [86] 86,83 unequal: No Solution Exploring Operation: 94*8=752, Resulting Numbers: [752] 752,83 unequal: No Solution Moving to Node #0,0,3 Current State: 83:[91, 1], Operations: ['94+3=97', '97-96=1'] Exploring Operation: 91*1=91, Resulting Numbers: [91] 91,83 unequal: No Solution Exploring Operation: 91+1=92, Resulting Numbers: [92] 92,83 unequal: No Solution Exploring Operation: 91-1=90, Resulting Numbers: [90] 90,83 unequal: No Solution Exploring Operation: 91/1=91, Resulting Numbers: [91] 91,83 unequal: No Solution Moving to Node #0,1,2 Current State: 83:[96, 6], Operations: ['91-3=88', '94-88=6'] Exploring Operation: 96*6=576, Resulting Numbers: [576] 576,83 unequal: No Solution Exploring Operation: 96/6=16, Resulting Numbers: [16] 16,83 unequal: No Solution Exploring Operation: 96+6=102, Resulting Numbers: [102] 102,83 unequal: No Solution Exploring Operation: 96-6=90, Resulting Numbers: [90] 90,83 unequal: No Solution Moving to Node #0,0,0 Current State: 83:[96, 6], Operations: ['94+3=97', '97-91=6'] Exploring Operation: 96-6=90, Resulting Numbers: [90] 90,83 unequal: No Solution Exploring Operation: 96+6=102, Resulting Numbers: [102] 102,83 unequal: No Solution Exploring Operation: 96/6=16, Resulting Numbers: [16] 16,83 unequal: No Solution Exploring Operation: 96*6=576, Resulting Numbers: [576] 576,83 unequal: No Solution Moving to Node #0,0,2 Current State: 83:[97, 5], Operations: ['94+3=97', '96-91=5'] Exploring Operation: 97-5=92, Resulting Numbers: [92] 92,83 unequal: No Solution Exploring Operation: 97+5=102, Resulting Numbers: [102] 102,83 unequal: No Solution Exploring Operation: 97*5=485, Resulting Numbers: [485] 485,83 unequal: No Solution Moving to Node #0,3,3 Current State: 83:[99, 3], Operations: ['96+3=99', '94-91=3'] Exploring Operation: 99-3=96, Resulting Numbers: [96] 96,83 unequal: No Solution Exploring Operation: 99*3=297, Resulting Numbers: [297] 297,83 unequal: No Solution Exploring Operation: 99/3=33, Resulting Numbers: [33] 33,83 unequal: No Solution Exploring Operation: 99+3=102, Resulting Numbers: [102] 102,83 unequal: No Solution Moving to Node #0,1,4 Current State: 83:[96, 182], Operations: ['91-3=88', '94+88=182'] Exploring Operation: 96+182=278, Resulting Numbers: [278] 278,83 unequal: No Solution Exploring Operation: 182-96=86, Resulting Numbers: [86] 86,83 unequal: No Solution Exploring Operation: 96*182=17472, Resulting Numbers: [17472] 17472,83 unequal: No Solution Moving to Node #0,1,1 Current State: 83:[88, 190], Operations: ['91-3=88', '94+96=190'] Exploring Operation: 190-88=102, Resulting Numbers: [102] 102,83 unequal: No Solution Exploring Operation: 88*190=16720, Resulting Numbers: [16720] 16720,83 unequal: No Solution Exploring Operation: 88+190=278, Resulting Numbers: [278] 278,83 unequal: No Solution Moving to Node #0,3,1 Current State: 83:[91, 193], Operations: ['96+3=99', '94+99=193'] Exploring Operation: 91+193=284, Resulting Numbers: [284] 284,83 unequal: No Solution Exploring Operation: 193-91=102, Resulting Numbers: [102] 102,83 unequal: No Solution Exploring Operation: 91*193=17563, Resulting Numbers: [17563] 17563,83 unequal: No Solution Moving to Node #0,3,2 Current State: 83:[99, 185], Operations: ['96+3=99', '94+91=185'] Exploring Operation: 99+185=284, Resulting Numbers: [284] 284,83 unequal: No Solution Exploring Operation: 99*185=18315, Resulting Numbers: [18315] 18315,83 unequal: No Solution Exploring Operation: 185-99=86, Resulting Numbers: [86] 86,83 unequal: No Solution Moving to Node #0,0,1 Current State: 83:[91, 193], Operations: ['94+3=97', '96+97=193'] Exploring Operation: 193-91=102, Resulting Numbers: [102] 102,83 unequal: No Solution Exploring Operation: 91+193=284, Resulting Numbers: [284] 284,83 unequal: No Solution Exploring Operation: 91*193=17563, Resulting Numbers: [17563] 17563,83 unequal: No Solution Moving to Node #0,0,4 Current State: 83:[97, 187], Operations: ['94+3=97', '96+91=187'] Exploring Operation: 97+187=284, Resulting Numbers: [284] 284,83 unequal: No Solution Exploring Operation: 97*187=18139, Resulting Numbers: [18139] 18139,83 unequal: No Solution Exploring Operation: 187-97=90, Resulting Numbers: [90] 90,83 unequal: No Solution No solution found.
0
hs_5
mult_heuristic
[ 24, 95, 73, 92 ]
85
[ "95+73=168", "168/24=7", "92-7=85" ]
Current State: 85:[24, 95, 73, 92], Operations: [] Exploring Operation: 95+73=168, Resulting Numbers: [24, 92, 168] Generated Node #2: [24, 92, 168] from Operation: 95+73=168 Current State: 85:[24, 92, 168], Operations: ['95+73=168'] Exploring Operation: 168/24=7, Resulting Numbers: [92, 7] Generated Node #3: [92, 7] from Operation: 168/24=7 Current State: 85:[92, 7], Operations: ['95+73=168', '168/24=7'] Exploring Operation: 92-7=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
Current State: 85:[24, 95, 73, 92], Operations: [] Exploring Operation: 24+73=97, Resulting Numbers: [95, 92, 97] Generated Node #0,0: 85:[95, 92, 97] Operation: 24+73=97 Exploring Operation: 92-73=19, Resulting Numbers: [24, 95, 19] Generated Node #0,1: 85:[24, 95, 19] Operation: 92-73=19 Exploring Operation: 95-92=3, Resulting Numbers: [24, 73, 3] Generated Node #0,2: 85:[24, 73, 3] Operation: 95-92=3 Exploring Operation: 95-73=22, Resulting Numbers: [24, 92, 22] Generated Node #0,3: 85:[24, 92, 22] Operation: 95-73=22 Start Sub Search at level 1: Moving to Node #0,1 Current State: 85:[24, 95, 19], Operations: ['92-73=19'] Exploring Operation: 95/19=5, Resulting Numbers: [24, 5] Generated Node #0,1,0: 85:[24, 5] Operation: 95/19=5 Exploring Operation: 95-19=76, Resulting Numbers: [24, 76] Generated Node #0,1,1: 85:[24, 76] Operation: 95-19=76 Exploring Operation: 24-19=5, Resulting Numbers: [95, 5] Generated Node #0,1,2: 85:[95, 5] Operation: 24-19=5 Exploring Operation: 95-24=71, Resulting Numbers: [19, 71] Generated Node #0,1,3: 85:[19, 71] Operation: 95-24=71 Moving to Node #0,1,0 Current State: 85:[24, 5], Operations: ['92-73=19', '95/19=5'] Exploring Operation: 24*5=120, Resulting Numbers: [120] 120,85 unequal: No Solution Exploring Operation: 24-5=19, Resulting Numbers: [19] 19,85 unequal: No Solution Exploring Operation: 24+5=29, Resulting Numbers: [29] 29,85 unequal: No Solution Moving to Node #0,1,2 Current State: 85:[95, 5], Operations: ['92-73=19', '24-19=5'] Exploring Operation: 95+5=100, Resulting Numbers: [100] 100,85 unequal: No Solution Exploring Operation: 95*5=475, Resulting Numbers: [475] 475,85 unequal: No Solution Exploring Operation: 95-5=90, Resulting Numbers: [90] 90,85 unequal: No Solution Exploring Operation: 95/5=19, Resulting Numbers: [19] 19,85 unequal: No Solution Moving to Node #0,1,3 Current State: 85:[19, 71], Operations: ['92-73=19', '95-24=71'] Exploring Operation: 19*71=1349, Resulting Numbers: [1349] 1349,85 unequal: No Solution Exploring Operation: 71-19=52, Resulting Numbers: [52] 52,85 unequal: No Solution Exploring Operation: 19+71=90, Resulting Numbers: [90] 90,85 unequal: No Solution Moving to Node #0,1,1 Current State: 85:[24, 76], Operations: ['92-73=19', '95-19=76'] Exploring Operation: 76-24=52, Resulting Numbers: [52] 52,85 unequal: No Solution Exploring Operation: 24*76=1824, Resulting Numbers: [1824] 1824,85 unequal: No Solution Exploring Operation: 24+76=100, Resulting Numbers: [100] 100,85 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 85:[24, 92, 22], Operations: ['95-73=22'] Exploring Operation: 24-22=2, Resulting Numbers: [92, 2] Generated Node #0,3,0: 85:[92, 2] Operation: 24-22=2 Exploring Operation: 92-22=70, Resulting Numbers: [24, 70] Generated Node #0,3,1: 85:[24, 70] Operation: 92-22=70 Exploring Operation: 24+92=116, Resulting Numbers: [22, 116] Generated Node #0,3,2: 85:[22, 116] Operation: 24+92=116 Exploring Operation: 92-24=68, Resulting Numbers: [22, 68] Generated Node #0,3,3: 85:[22, 68] Operation: 92-24=68 Moving to Node #0,3,0 Current State: 85:[92, 2], Operations: ['95-73=22', '24-22=2'] Exploring Operation: 92*2=184, Resulting Numbers: [184] 184,85 unequal: No Solution Exploring Operation: 92/2=46, Resulting Numbers: [46] 46,85 unequal: No Solution Exploring Operation: 92+2=94, Resulting Numbers: [94] 94,85 unequal: No Solution Exploring Operation: 92-2=90, Resulting Numbers: [90] 90,85 unequal: No Solution Moving to Node #0,3,3 Current State: 85:[22, 68], Operations: ['95-73=22', '92-24=68'] Exploring Operation: 68-22=46, Resulting Numbers: [46] 46,85 unequal: No Solution Exploring Operation: 22+68=90, Resulting Numbers: [90] 90,85 unequal: No Solution Exploring Operation: 22*68=1496, Resulting Numbers: [1496] 1496,85 unequal: No Solution Moving to Node #0,3,1 Current State: 85:[24, 70], Operations: ['95-73=22', '92-22=70'] Exploring Operation: 24+70=94, Resulting Numbers: [94] 94,85 unequal: No Solution Exploring Operation: 70-24=46, Resulting Numbers: [46] 46,85 unequal: No Solution Exploring Operation: 24*70=1680, Resulting Numbers: [1680] 1680,85 unequal: No Solution Moving to Node #0,3,2 Current State: 85:[22, 116], Operations: ['95-73=22', '24+92=116'] Exploring Operation: 22+116=138, Resulting Numbers: [138] 138,85 unequal: No Solution Exploring Operation: 116-22=94, Resulting Numbers: [94] 94,85 unequal: No Solution Exploring Operation: 22*116=2552, Resulting Numbers: [2552] 2552,85 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 85:[24, 73, 3], Operations: ['95-92=3'] Exploring Operation: 24/3=8, Resulting Numbers: [73, 8] Generated Node #0,2,0: 85:[73, 8] Operation: 24/3=8 Exploring Operation: 73+3=76, Resulting Numbers: [24, 76] Generated Node #0,2,1: 85:[24, 76] Operation: 73+3=76 Exploring Operation: 24+73=97, Resulting Numbers: [3, 97] Generated Node #0,2,2: 85:[3, 97] Operation: 24+73=97 Exploring Operation: 24-3=21, Resulting Numbers: [73, 21] Generated Node #0,2,3: 85:[73, 21] Operation: 24-3=21 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 85:[3, 97], Operations: ['95-92=3', '24+73=97'] Exploring Operation: 97-3=94, Resulting Numbers: [94] 94,85 unequal: No Solution Exploring Operation: 3*97=291, Resulting Numbers: [291] 291,85 unequal: No Solution Exploring Operation: 3+97=100, Resulting Numbers: [100] 100,85 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: 85:[73, 8], Operations: ['95-92=3', '24/3=8'] Exploring Operation: 73*8=584, Resulting Numbers: [584] 584,85 unequal: No Solution Exploring Operation: 73-8=65, Resulting Numbers: [65] 65,85 unequal: No Solution Exploring Operation: 73+8=81, Resulting Numbers: [81] 81,85 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: 85:[24, 76], Operations: ['95-92=3', '73+3=76'] Exploring Operation: 24+76=100, Resulting Numbers: [100] 100,85 unequal: No Solution Exploring Operation: 24*76=1824, Resulting Numbers: [1824] 1824,85 unequal: No Solution Exploring Operation: 76-24=52, Resulting Numbers: [52] 52,85 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: 85:[73, 21], Operations: ['95-92=3', '24-3=21'] Exploring Operation: 73-21=52, Resulting Numbers: [52] 52,85 unequal: No Solution Exploring Operation: 73*21=1533, Resulting Numbers: [1533] 1533,85 unequal: No Solution Exploring Operation: 73+21=94, Resulting Numbers: [94] 94,85 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: 85:[95, 92, 97], Operations: ['24+73=97'] Exploring Operation: 97-92=5, Resulting Numbers: [95, 5] Generated Node #0,0,0: 85:[95, 5] Operation: 97-92=5 Exploring Operation: 95-92=3, Resulting Numbers: [97, 3] Generated Node #0,0,1: 85:[97, 3] Operation: 95-92=3 Exploring Operation: 95+92=187, Resulting Numbers: [97, 187] Generated Node #0,0,2: 85:[97, 187] Operation: 95+92=187 Exploring Operation: 97-95=2, Resulting Numbers: [92, 2] Generated Node #0,0,3: 85:[92, 2] Operation: 97-95=2 Moving to Node #0,0,0 Current State: 85:[95, 5], Operations: ['24+73=97', '97-92=5'] Exploring Operation: 95+5=100, Resulting Numbers: [100] 100,85 unequal: No Solution Exploring Operation: 95*5=475, Resulting Numbers: [475] 475,85 unequal: No Solution Exploring Operation: 95-5=90, Resulting Numbers: [90] 90,85 unequal: No Solution Exploring Operation: 95/5=19, Resulting Numbers: [19] 19,85 unequal: No Solution Moving to Node #0,0,3 Current State: 85:[92, 2], Operations: ['24+73=97', '97-95=2'] Exploring Operation: 92/2=46, Resulting Numbers: [46] 46,85 unequal: No Solution Exploring Operation: 92-2=90, Resulting Numbers: [90] 90,85 unequal: No Solution Exploring Operation: 92*2=184, Resulting Numbers: [184] 184,85 unequal: No Solution Exploring Operation: 92+2=94, Resulting Numbers: [94] 94,85 unequal: No Solution Moving to Node #0,0,1 Current State: 85:[97, 3], Operations: ['24+73=97', '95-92=3'] Exploring Operation: 97+3=100, Resulting Numbers: [100] 100,85 unequal: No Solution Exploring Operation: 97*3=291, Resulting Numbers: [291] 291,85 unequal: No Solution Exploring Operation: 97-3=94, Resulting Numbers: [94] 94,85 unequal: No Solution Moving to Node #0,0,2 Current State: 85:[97, 187], Operations: ['24+73=97', '95+92=187'] Exploring Operation: 97+187=284, Resulting Numbers: [284] 284,85 unequal: No Solution Exploring Operation: 97*187=18139, Resulting Numbers: [18139] 18139,85 unequal: No Solution Exploring Operation: 187-97=90, Resulting Numbers: [90] 90,85 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
sum_heuristic
[ 34, 30, 39, 94 ]
62
[ "34-30=4", "39*4=156", "156-94=62" ]
Current State: 62:[34, 30, 39, 94], Operations: [] Exploring Operation: 34-30=4, Resulting Numbers: [39, 94, 4] Generated Node #2: [39, 94, 4] from Operation: 34-30=4 Current State: 62:[39, 94, 4], Operations: ['34-30=4'] Exploring Operation: 39*4=156, Resulting Numbers: [94, 156] Generated Node #3: [94, 156] from Operation: 39*4=156 Current State: 62:[94, 156], Operations: ['34-30=4', '39*4=156'] Exploring Operation: 156-94=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
Current State: 62:[34, 30, 39, 94], Operations: [] Exploring Operation: 34+30=64, Resulting Numbers: [39, 94, 64] Generated Node #0,0: 62:[39, 94, 64] Operation: 34+30=64 Exploring Operation: 94-34=60, Resulting Numbers: [30, 39, 60] Generated Node #0,1: 62:[30, 39, 60] Operation: 94-34=60 Exploring Operation: 94-39=55, Resulting Numbers: [34, 30, 55] Generated Node #0,2: 62:[34, 30, 55] Operation: 94-39=55 Exploring Operation: 94-30=64, Resulting Numbers: [34, 39, 64] Generated Node #0,3: 62:[34, 39, 64] Operation: 94-30=64 Exploring Operation: 39-34=5, Resulting Numbers: [30, 94, 5] Generated Node #0,4: 62:[30, 94, 5] Operation: 39-34=5 Moving to Node #0,1 Current State: 62:[30, 39, 60], Operations: ['94-34=60'] Exploring Operation: 30+39=69, Resulting Numbers: [60, 69] Generated Node #0,1,0: 62:[60, 69] Operation: 30+39=69 Exploring Operation: 60/30=2, Resulting Numbers: [39, 2] Generated Node #0,1,1: 62:[39, 2] Operation: 60/30=2 Exploring Operation: 60-39=21, Resulting Numbers: [30, 21] Generated Node #0,1,2: 62:[30, 21] Operation: 60-39=21 Exploring Operation: 60-30=30, Resulting Numbers: [39, 30] Generated Node #0,1,3: 62:[39, 30] Operation: 60-30=30 Exploring Operation: 39-30=9, Resulting Numbers: [60, 9] Generated Node #0,1,4: 62:[60, 9] Operation: 39-30=9 Moving to Node #0,2 Current State: 62:[34, 30, 55], Operations: ['94-39=55'] Exploring Operation: 30+55=85, Resulting Numbers: [34, 85] Generated Node #0,2,0: 62:[34, 85] Operation: 30+55=85 Exploring Operation: 55-34=21, Resulting Numbers: [30, 21] Generated Node #0,2,1: 62:[30, 21] Operation: 55-34=21 Exploring Operation: 55-30=25, Resulting Numbers: [34, 25] Generated Node #0,2,2: 62:[34, 25] Operation: 55-30=25 Exploring Operation: 34+30=64, Resulting Numbers: [55, 64] Generated Node #0,2,3: 62:[55, 64] Operation: 34+30=64 Exploring Operation: 34-30=4, Resulting Numbers: [55, 4] Generated Node #0,2,4: 62:[55, 4] Operation: 34-30=4 Moving to Node #0,3 Current State: 62:[34, 39, 64], Operations: ['94-30=64'] Exploring Operation: 34+64=98, Resulting Numbers: [39, 98] Generated Node #0,3,0: 62:[39, 98] Operation: 34+64=98 Exploring Operation: 39-34=5, Resulting Numbers: [64, 5] Generated Node #0,3,1: 62:[64, 5] Operation: 39-34=5 Exploring Operation: 64-34=30, Resulting Numbers: [39, 30] Generated Node #0,3,2: 62:[39, 30] Operation: 64-34=30 Exploring Operation: 64-39=25, Resulting Numbers: [34, 25] Generated Node #0,3,3: 62:[34, 25] Operation: 64-39=25 Exploring Operation: 34+39=73, Resulting Numbers: [64, 73] Generated Node #0,3,4: 62:[64, 73] Operation: 34+39=73 Moving to Node #0,4 Current State: 62:[30, 94, 5], Operations: ['39-34=5'] Exploring Operation: 94-30=64, Resulting Numbers: [5, 64] Generated Node #0,4,0: 62:[5, 64] Operation: 94-30=64 Exploring Operation: 30+5=35, Resulting Numbers: [94, 35] Generated Node #0,4,1: 62:[94, 35] Operation: 30+5=35 Exploring Operation: 30-5=25, Resulting Numbers: [94, 25] Generated Node #0,4,2: 62:[94, 25] Operation: 30-5=25 Exploring Operation: 30/5=6, Resulting Numbers: [94, 6] Generated Node #0,4,3: 62:[94, 6] Operation: 30/5=6 Exploring Operation: 94-5=89, Resulting Numbers: [30, 89] Generated Node #0,4,4: 62:[30, 89] Operation: 94-5=89 Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 62:[5, 64], Operations: ['39-34=5', '94-30=64'] Exploring Operation: 5*64=320, Resulting Numbers: [320] 320,62 unequal: No Solution Exploring Operation: 64-5=59, Resulting Numbers: [59] 59,62 unequal: No Solution Exploring Operation: 5+64=69, Resulting Numbers: [69] 69,62 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 #0,4,4 Current State: 62:[30, 89], Operations: ['39-34=5', '94-5=89'] Exploring Operation: 89-30=59, Resulting Numbers: [59] 59,62 unequal: No Solution Exploring Operation: 30*89=2670, Resulting Numbers: [2670] 2670,62 unequal: No Solution Exploring Operation: 30+89=119, Resulting Numbers: [119] 119,62 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 #0,4,1 Current State: 62:[94, 35], Operations: ['39-34=5', '30+5=35'] Exploring Operation: 94*35=3290, Resulting Numbers: [3290] 3290,62 unequal: No Solution Exploring Operation: 94+35=129, Resulting Numbers: [129] 129,62 unequal: No Solution Exploring Operation: 94-35=59, Resulting Numbers: [59] 59,62 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 #0,4,3 Current State: 62:[94, 6], Operations: ['39-34=5', '30/5=6'] Exploring Operation: 94+6=100, Resulting Numbers: [100] 100,62 unequal: No Solution Exploring Operation: 94*6=564, Resulting Numbers: [564] 564,62 unequal: No Solution Exploring Operation: 94-6=88, Resulting Numbers: [88] 88,62 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 #0,4,2 Current State: 62:[94, 25], Operations: ['39-34=5', '30-5=25'] Exploring Operation: 94+25=119, Resulting Numbers: [119] 119,62 unequal: No Solution Exploring Operation: 94*25=2350, Resulting Numbers: [2350] 2350,62 unequal: No Solution Exploring Operation: 94-25=69, Resulting Numbers: [69] 69,62 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: 62:[39, 94, 64], Operations: ['34+30=64'] Exploring Operation: 94-39=55, Resulting Numbers: [64, 55] Generated Node #0,0,0: 62:[64, 55] Operation: 94-39=55 Exploring Operation: 39+64=103, Resulting Numbers: [94, 103] Generated Node #0,0,1: 62:[94, 103] Operation: 39+64=103 Exploring Operation: 39+94=133, Resulting Numbers: [64, 133] Generated Node #0,0,2: 62:[64, 133] Operation: 39+94=133 Exploring Operation: 94-64=30, Resulting Numbers: [39, 30] Generated Node #0,0,3: 62:[39, 30] Operation: 94-64=30 Exploring Operation: 64-39=25, Resulting Numbers: [94, 25] Generated Node #0,0,4: 62:[94, 25] Operation: 64-39=25 Moving to Node #0,3,1 Current State: 62:[64, 5], Operations: ['94-30=64', '39-34=5'] Exploring Operation: 64+5=69, Resulting Numbers: [69] 69,62 unequal: No Solution Exploring Operation: 64-5=59, Resulting Numbers: [59] 59,62 unequal: No Solution Exploring Operation: 64*5=320, Resulting Numbers: [320] 320,62 unequal: No Solution Moving to Node #0,1,1 Current State: 62:[39, 2], Operations: ['94-34=60', '60/30=2'] Exploring Operation: 39*2=78, Resulting Numbers: [78] 78,62 unequal: No Solution Exploring Operation: 39-2=37, Resulting Numbers: [37] 37,62 unequal: No Solution Exploring Operation: 39+2=41, Resulting Numbers: [41] 41,62 unequal: No Solution Moving to Node #0,1,3 Current State: 62:[39, 30], Operations: ['94-34=60', '60-30=30'] Exploring Operation: 39+30=69, Resulting Numbers: [69] 69,62 unequal: No Solution Exploring Operation: 39*30=1170, Resulting Numbers: [1170] 1170,62 unequal: No Solution Exploring Operation: 39-30=9, Resulting Numbers: [9] 9,62 unequal: No Solution Moving to Node #0,2,3 Current State: 62:[55, 64], Operations: ['94-39=55', '34+30=64'] Exploring Operation: 55*64=3520, Resulting Numbers: [3520] 3520,62 unequal: No Solution Exploring Operation: 64-55=9, Resulting Numbers: [9] 9,62 unequal: No Solution Exploring Operation: 55+64=119, Resulting Numbers: [119] 119,62 unequal: No Solution Moving to Node #0,2,2 Current State: 62:[34, 25], Operations: ['94-39=55', '55-30=25'] Exploring Operation: 34*25=850, Resulting Numbers: [850] 850,62 unequal: No Solution Exploring Operation: 34+25=59, Resulting Numbers: [59] 59,62 unequal: No Solution Exploring Operation: 34-25=9, Resulting Numbers: [9] 9,62 unequal: No Solution Moving to Node #0,3,3 Current State: 62:[34, 25], Operations: ['94-30=64', '64-39=25'] Exploring Operation: 34-25=9, Resulting Numbers: [9] 9,62 unequal: No Solution Exploring Operation: 34+25=59, Resulting Numbers: [59] 59,62 unequal: No Solution Exploring Operation: 34*25=850, Resulting Numbers: [850] 850,62 unequal: No Solution Moving to Node #0,3,2 Current State: 62:[39, 30], Operations: ['94-30=64', '64-34=30'] Exploring Operation: 39-30=9, Resulting Numbers: [9] 9,62 unequal: No Solution Exploring Operation: 39*30=1170, Resulting Numbers: [1170] 1170,62 unequal: No Solution Exploring Operation: 39+30=69, Resulting Numbers: [69] 69,62 unequal: No Solution Moving to Node #0,0,3 Current State: 62:[39, 30], Operations: ['34+30=64', '94-64=30'] Exploring Operation: 39-30=9, Resulting Numbers: [9] 9,62 unequal: No Solution Exploring Operation: 39*30=1170, Resulting Numbers: [1170] 1170,62 unequal: No Solution Exploring Operation: 39+30=69, Resulting Numbers: [69] 69,62 unequal: No Solution Moving to Node #0,0,0 Current State: 62:[64, 55], Operations: ['34+30=64', '94-39=55'] Exploring Operation: 64-55=9, Resulting Numbers: [9] 9,62 unequal: No Solution Exploring Operation: 64*55=3520, Resulting Numbers: [3520] 3520,62 unequal: No Solution Exploring Operation: 64+55=119, Resulting Numbers: [119] 119,62 unequal: No Solution Moving to Node #0,1,0 Current State: 62:[60, 69], Operations: ['94-34=60', '30+39=69'] Exploring Operation: 69-60=9, Resulting Numbers: [9] 9,62 unequal: No Solution Exploring Operation: 60+69=129, Resulting Numbers: [129] 129,62 unequal: No Solution Exploring Operation: 60*69=4140, Resulting Numbers: [4140] 4140,62 unequal: No Solution Moving to Node #0,1,4 Current State: 62:[60, 9], Operations: ['94-34=60', '39-30=9'] Exploring Operation: 60*9=540, Resulting Numbers: [540] 540,62 unequal: No Solution Exploring Operation: 60+9=69, Resulting Numbers: [69] 69,62 unequal: No Solution Exploring Operation: 60-9=51, Resulting Numbers: [51] 51,62 unequal: No Solution Moving to Node #0,2,4 Current State: 62:[55, 4], Operations: ['94-39=55', '34-30=4'] Exploring Operation: 55*4=220, Resulting Numbers: [220] 220,62 unequal: No Solution Exploring Operation: 55-4=51, Resulting Numbers: [51] 51,62 unequal: No Solution Exploring Operation: 55+4=59, Resulting Numbers: [59] 59,62 unequal: No Solution Moving to Node #0,1,2 Current State: 62:[30, 21], Operations: ['94-34=60', '60-39=21'] Exploring Operation: 30-21=9, Resulting Numbers: [9] 9,62 unequal: No Solution Exploring Operation: 30+21=51, Resulting Numbers: [51] 51,62 unequal: No Solution Exploring Operation: 30*21=630, Resulting Numbers: [630] 630,62 unequal: No Solution Moving to Node #0,2,1 Current State: 62:[30, 21], Operations: ['94-39=55', '55-34=21'] Exploring Operation: 30+21=51, Resulting Numbers: [51] 51,62 unequal: No Solution Exploring Operation: 30-21=9, Resulting Numbers: [9] 9,62 unequal: No Solution Exploring Operation: 30*21=630, Resulting Numbers: [630] 630,62 unequal: No Solution Moving to Node #0,3,4 Current State: 62:[64, 73], Operations: ['94-30=64', '34+39=73'] Exploring Operation: 73-64=9, Resulting Numbers: [9] 9,62 unequal: No Solution Exploring Operation: 64*73=4672, Resulting Numbers: [4672] 4672,62 unequal: No Solution Exploring Operation: 64+73=137, Resulting Numbers: [137] 137,62 unequal: No Solution Moving to Node #0,2,0 Current State: 62:[34, 85], Operations: ['94-39=55', '30+55=85'] Exploring Operation: 34+85=119, Resulting Numbers: [119] 119,62 unequal: No Solution Exploring Operation: 85-34=51, Resulting Numbers: [51] 51,62 unequal: No Solution Exploring Operation: 34*85=2890, Resulting Numbers: [2890] 2890,62 unequal: No Solution Moving to Node #0,0,4 Current State: 62:[94, 25], Operations: ['34+30=64', '64-39=25'] Exploring Operation: 94*25=2350, Resulting Numbers: [2350] 2350,62 unequal: No Solution Exploring Operation: 94+25=119, Resulting Numbers: [119] 119,62 unequal: No Solution Exploring Operation: 94-25=69, Resulting Numbers: [69] 69,62 unequal: No Solution Moving to Node #0,3,0 Current State: 62:[39, 98], Operations: ['94-30=64', '34+64=98'] Exploring Operation: 98-39=59, Resulting Numbers: [59] 59,62 unequal: No Solution Exploring Operation: 39*98=3822, Resulting Numbers: [3822] 3822,62 unequal: No Solution Exploring Operation: 39+98=137, Resulting Numbers: [137] 137,62 unequal: No Solution Moving to Node #0,0,1 Current State: 62:[94, 103], Operations: ['34+30=64', '39+64=103'] Exploring Operation: 103-94=9, Resulting Numbers: [9] 9,62 unequal: No Solution Exploring Operation: 94*103=9682, Resulting Numbers: [9682] 9682,62 unequal: No Solution Exploring Operation: 94+103=197, Resulting Numbers: [197] 197,62 unequal: No Solution Moving to Node #0,0,2 Current State: 62:[64, 133], Operations: ['34+30=64', '39+94=133'] Exploring Operation: 133-64=69, Resulting Numbers: [69] 69,62 unequal: No Solution Exploring Operation: 64+133=197, Resulting Numbers: [197] 197,62 unequal: No Solution Exploring Operation: 64*133=8512, Resulting Numbers: [8512] 8512,62 unequal: No Solution No solution found.
0
hs_5
sum_heuristic
[ 26, 94, 13, 83 ]
36
[ "26/13=2", "94/2=47", "83-47=36" ]
Current State: 36:[26, 94, 13, 83], Operations: [] Exploring Operation: 26/13=2, Resulting Numbers: [94, 83, 2] Generated Node #2: [94, 83, 2] from Operation: 26/13=2 Current State: 36:[94, 83, 2], Operations: ['26/13=2'] Exploring Operation: 94/2=47, Resulting Numbers: [83, 47] Generated Node #3: [83, 47] from Operation: 94/2=47 Current State: 36:[83, 47], Operations: ['26/13=2', '94/2=47'] Exploring Operation: 83-47=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
Current State: 36:[26, 94, 13, 83], Operations: [] Exploring Operation: 94-26=68, Resulting Numbers: [13, 83, 68] Generated Node #0,0: 36:[13, 83, 68] Operation: 94-26=68 Exploring Operation: 94-83=11, Resulting Numbers: [26, 13, 11] Generated Node #0,1: 36:[26, 13, 11] Operation: 94-83=11 Exploring Operation: 83-26=57, Resulting Numbers: [94, 13, 57] Generated Node #0,2: 36:[94, 13, 57] Operation: 83-26=57 Start Sub Search at level 1: Moving to Node #0,1 Current State: 36:[26, 13, 11], Operations: ['94-83=11'] Exploring Operation: 26/13=2, Resulting Numbers: [11, 2] Generated Node #0,1,0: 36:[11, 2] Operation: 26/13=2 Exploring Operation: 26-13=13, Resulting Numbers: [11, 13] Generated Node #0,1,1: 36:[11, 13] Operation: 26-13=13 Exploring Operation: 26+11=37, Resulting Numbers: [13, 37] Generated Node #0,1,2: 36:[13, 37] Operation: 26+11=37 Moving to Node #0,1,0 Current State: 36:[11, 2], Operations: ['94-83=11', '26/13=2'] Exploring Operation: 11*2=22, Resulting Numbers: [22] 22,36 unequal: No Solution Exploring Operation: 11-2=9, Resulting Numbers: [9] 9,36 unequal: No Solution Exploring Operation: 11+2=13, Resulting Numbers: [13] 13,36 unequal: No Solution Moving to Node #0,1,1 Current State: 36:[11, 13], Operations: ['94-83=11', '26-13=13'] Exploring Operation: 13-11=2, Resulting Numbers: [2] 2,36 unequal: No Solution Exploring Operation: 11*13=143, Resulting Numbers: [143] 143,36 unequal: No Solution Exploring Operation: 11+13=24, Resulting Numbers: [24] 24,36 unequal: No Solution Moving to Node #0,1,2 Current State: 36:[13, 37], Operations: ['94-83=11', '26+11=37'] Exploring Operation: 13*37=481, Resulting Numbers: [481] 481,36 unequal: No Solution Exploring Operation: 13+37=50, Resulting Numbers: [50] 50,36 unequal: No Solution Exploring Operation: 37-13=24, Resulting Numbers: [24] 24,36 unequal: No Solution No 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: 36:[13, 83, 68], Operations: ['94-26=68'] Exploring Operation: 68-13=55, Resulting Numbers: [83, 55] Generated Node #0,0,0: 36:[83, 55] Operation: 68-13=55 Exploring Operation: 83-68=15, Resulting Numbers: [13, 15] Generated Node #0,0,1: 36:[13, 15] Operation: 83-68=15 Exploring Operation: 83-13=70, Resulting Numbers: [68, 70] Generated Node #0,0,2: 36:[68, 70] Operation: 83-13=70 Moving to Node #0,0,1 Current State: 36:[13, 15], Operations: ['94-26=68', '83-68=15'] Exploring Operation: 13*15=195, Resulting Numbers: [195] 195,36 unequal: No Solution Exploring Operation: 15-13=2, Resulting Numbers: [2] 2,36 unequal: No Solution Exploring Operation: 13+15=28, Resulting Numbers: [28] 28,36 unequal: No Solution Moving to Node #0,0,0 Current State: 36:[83, 55], Operations: ['94-26=68', '68-13=55'] Exploring Operation: 83+55=138, Resulting Numbers: [138] 138,36 unequal: No Solution Exploring Operation: 83*55=4565, Resulting Numbers: [4565] 4565,36 unequal: No Solution Exploring Operation: 83-55=28, Resulting Numbers: [28] 28,36 unequal: No Solution Moving to Node #0,0,2 Current State: 36:[68, 70], Operations: ['94-26=68', '83-13=70'] Exploring Operation: 68*70=4760, Resulting Numbers: [4760] 4760,36 unequal: No Solution Exploring Operation: 68+70=138, Resulting Numbers: [138] 138,36 unequal: No Solution Exploring Operation: 70-68=2, Resulting Numbers: [2] 2,36 unequal: No Solution No 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: 36:[94, 13, 57], Operations: ['83-26=57'] Exploring Operation: 94-13=81, Resulting Numbers: [57, 81] Generated Node #0,2,0: 36:[57, 81] Operation: 94-13=81 Exploring Operation: 94-57=37, Resulting Numbers: [13, 37] Generated Node #0,2,1: 36:[13, 37] Operation: 94-57=37 Exploring Operation: 57-13=44, Resulting Numbers: [94, 44] Generated Node #0,2,2: 36:[94, 44] Operation: 57-13=44 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 36:[13, 37], Operations: ['83-26=57', '94-57=37'] Exploring Operation: 13+37=50, Resulting Numbers: [50] 50,36 unequal: No Solution Exploring Operation: 13*37=481, Resulting Numbers: [481] 481,36 unequal: No Solution Exploring Operation: 37-13=24, Resulting Numbers: [24] 24,36 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: 36:[57, 81], Operations: ['83-26=57', '94-13=81'] Exploring Operation: 57*81=4617, Resulting Numbers: [4617] 4617,36 unequal: No Solution Exploring Operation: 57+81=138, Resulting Numbers: [138] 138,36 unequal: No Solution Exploring Operation: 81-57=24, Resulting Numbers: [24] 24,36 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: 36:[94, 44], Operations: ['83-26=57', '57-13=44'] Exploring Operation: 94+44=138, Resulting Numbers: [138] 138,36 unequal: No Solution Exploring Operation: 94*44=4136, Resulting Numbers: [4136] 4136,36 unequal: No Solution Exploring Operation: 94-44=50, Resulting Numbers: [50] 50,36 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
[ 56, 70, 43, 50 ]
79
[ "70-56=14", "43+50=93", "93-14=79" ]
Current State: 79:[56, 70, 43, 50], Operations: [] Exploring Operation: 70-56=14, Resulting Numbers: [43, 50, 14] Generated Node #2: [43, 50, 14] from Operation: 70-56=14 Current State: 79:[43, 50, 14], Operations: ['70-56=14'] Exploring Operation: 43+50=93, Resulting Numbers: [14, 93] Generated Node #3: [14, 93] from Operation: 43+50=93 Current State: 79:[14, 93], Operations: ['70-56=14', '43+50=93'] Exploring Operation: 93-14=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
Current State: 79:[56, 70, 43, 50], Operations: [] Exploring Operation: 43+50=93, Resulting Numbers: [56, 70, 93] Generated Node #0,0: 79:[56, 70, 93] Operation: 43+50=93 Exploring Operation: 56+43=99, Resulting Numbers: [70, 50, 99] Generated Node #0,1: 79:[70, 50, 99] Operation: 56+43=99 Exploring Operation: 56+50=106, Resulting Numbers: [70, 43, 106] Generated Node #0,2: 79:[70, 43, 106] Operation: 56+50=106 Start Sub Search at level 1: Moving to Node #0,0 Current State: 79:[56, 70, 93], Operations: ['43+50=93'] Exploring Operation: 93-56=37, Resulting Numbers: [70, 37] Generated Node #0,0,0: 79:[70, 37] Operation: 93-56=37 Exploring Operation: 70-56=14, Resulting Numbers: [93, 14] Generated Node #0,0,1: 79:[93, 14] Operation: 70-56=14 Exploring Operation: 56+70=126, Resulting Numbers: [93, 126] Generated Node #0,0,2: 79:[93, 126] Operation: 56+70=126 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 79:[70, 37], Operations: ['43+50=93', '93-56=37'] Exploring Operation: 70-37=33, Resulting Numbers: [33] 33,79 unequal: No Solution Exploring Operation: 70+37=107, Resulting Numbers: [107] 107,79 unequal: No Solution Exploring Operation: 70*37=2590, Resulting Numbers: [2590] 2590,79 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:[93, 126], Operations: ['43+50=93', '56+70=126'] Exploring Operation: 93+126=219, Resulting Numbers: [219] 219,79 unequal: No Solution Exploring Operation: 126-93=33, Resulting Numbers: [33] 33,79 unequal: No Solution Exploring Operation: 93*126=11718, Resulting Numbers: [11718] 11718,79 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 #0,0,1 Current State: 79:[93, 14], Operations: ['43+50=93', '70-56=14'] Exploring Operation: 93+14=107, Resulting Numbers: [107] 107,79 unequal: No Solution Exploring Operation: 93*14=1302, Resulting Numbers: [1302] 1302,79 unequal: No Solution Exploring Operation: 93-14=79, Resulting Numbers: [79] 79,79 equal: Goal Reached Moving to Node #0 Current State: 79:[56, 70, 43, 50], Operations: [] Exploring Operation: 43+50=93, Resulting Numbers: [56, 70, 93] Generated Node #0,0: 79:[56, 70, 93] Operation: 43+50=93 Moving to Node #0,0 Current State: 79:[56, 70, 93], Operations: ['43+50=93'] Exploring Operation: 70-56=14, Resulting Numbers: [93, 14] Generated Node #0,0,1: 79:[93, 14] Operation: 70-56=14 Moving to Node #0,0,1 Current State: 79:[93, 14], Operations: ['43+50=93', '70-56=14'] Exploring Operation: 93-14=79, Resulting Numbers: [79] 79,79 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.983507
hs_3
mult_heuristic
[ 48, 7, 91, 28 ]
51
[ "91-7=84", "84/28=3", "48+3=51" ]
Current State: 51:[48, 7, 91, 28], Operations: [] Exploring Operation: 91-7=84, Resulting Numbers: [48, 28, 84] Generated Node #2: [48, 28, 84] from Operation: 91-7=84 Current State: 51:[48, 28, 84], Operations: ['91-7=84'] Exploring Operation: 84/28=3, Resulting Numbers: [48, 3] Generated Node #3: [48, 3] from Operation: 84/28=3 Current State: 51:[48, 3], Operations: ['91-7=84', '84/28=3'] Exploring Operation: 48+3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
Current State: 51:[48, 7, 91, 28], Operations: [] Exploring Operation: 91/7=13, Resulting Numbers: [48, 28, 13] Generated Node #0,0: 51:[48, 28, 13] Operation: 91/7=13 Exploring Operation: 91-28=63, Resulting Numbers: [48, 7, 63] Generated Node #0,1: 51:[48, 7, 63] Operation: 91-28=63 Exploring Operation: 91-48=43, Resulting Numbers: [7, 28, 43] Generated Node #0,2: 51:[7, 28, 43] Operation: 91-48=43 Start Sub Search at level 1: Moving to Node #0,0 Current State: 51:[48, 28, 13], Operations: ['91/7=13'] Exploring Operation: 28+13=41, Resulting Numbers: [48, 41] Generated Node #0,0,0: 51:[48, 41] Operation: 28+13=41 Exploring Operation: 28-13=15, Resulting Numbers: [48, 15] Generated Node #0,0,1: 51:[48, 15] Operation: 28-13=15 Exploring Operation: 48-28=20, Resulting Numbers: [13, 20] Generated Node #0,0,2: 51:[13, 20] Operation: 48-28=20 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 51:[48, 15], Operations: ['91/7=13', '28-13=15'] Exploring Operation: 48+15=63, Resulting Numbers: [63] 63,51 unequal: No Solution Exploring Operation: 48-15=33, Resulting Numbers: [33] 33,51 unequal: No Solution Exploring Operation: 48*15=720, Resulting Numbers: [720] 720,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 51:[13, 20], Operations: ['91/7=13', '48-28=20'] Exploring Operation: 13*20=260, Resulting Numbers: [260] 260,51 unequal: No Solution Exploring Operation: 20-13=7, Resulting Numbers: [7] 7,51 unequal: No Solution Exploring Operation: 13+20=33, Resulting Numbers: [33] 33,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 51:[48, 41], Operations: ['91/7=13', '28+13=41'] Exploring Operation: 48+41=89, Resulting Numbers: [89] 89,51 unequal: No Solution Exploring Operation: 48*41=1968, Resulting Numbers: [1968] 1968,51 unequal: No Solution Exploring Operation: 48-41=7, Resulting Numbers: [7] 7,51 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 #0,1 Current State: 51:[48, 7, 63], Operations: ['91-28=63'] Exploring Operation: 63-7=56, Resulting Numbers: [48, 56] Generated Node #0,1,0: 51:[48, 56] Operation: 63-7=56 Exploring Operation: 63/7=9, Resulting Numbers: [48, 9] Generated Node #0,1,1: 51:[48, 9] Operation: 63/7=9 Exploring Operation: 63-48=15, Resulting Numbers: [7, 15] Generated Node #0,1,2: 51:[7, 15] Operation: 63-48=15 Moving to Node #0,1,2 Current State: 51:[7, 15], Operations: ['91-28=63', '63-48=15'] Exploring Operation: 15-7=8, Resulting Numbers: [8] 8,51 unequal: No Solution Exploring Operation: 7+15=22, Resulting Numbers: [22] 22,51 unequal: No Solution Exploring Operation: 7*15=105, Resulting Numbers: [105] 105,51 unequal: No Solution Moving to Node #0,1,0 Current State: 51:[48, 56], Operations: ['91-28=63', '63-7=56'] Exploring Operation: 48*56=2688, Resulting Numbers: [2688] 2688,51 unequal: No Solution Exploring Operation: 56-48=8, Resulting Numbers: [8] 8,51 unequal: No Solution Exploring Operation: 48+56=104, Resulting Numbers: [104] 104,51 unequal: No Solution Moving to Node #0,1,1 Current State: 51:[48, 9], Operations: ['91-28=63', '63/7=9'] Exploring Operation: 48+9=57, Resulting Numbers: [57] 57,51 unequal: No Solution Exploring Operation: 48*9=432, Resulting Numbers: [432] 432,51 unequal: No Solution Exploring Operation: 48-9=39, Resulting Numbers: [39] 39,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 51:[7, 28, 43], Operations: ['91-48=43'] Exploring Operation: 28-7=21, Resulting Numbers: [43, 21] Generated Node #0,2,0: 51:[43, 21] Operation: 28-7=21 Exploring Operation: 28/7=4, Resulting Numbers: [43, 4] Generated Node #0,2,1: 51:[43, 4] Operation: 28/7=4 Exploring Operation: 43-28=15, Resulting Numbers: [7, 15] Generated Node #0,2,2: 51:[7, 15] Operation: 43-28=15 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 51:[7, 15], Operations: ['91-48=43', '43-28=15'] Exploring Operation: 7*15=105, Resulting Numbers: [105] 105,51 unequal: No Solution Exploring Operation: 7+15=22, Resulting Numbers: [22] 22,51 unequal: No Solution Exploring Operation: 15-7=8, Resulting Numbers: [8] 8,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 51:[43, 4], Operations: ['91-48=43', '28/7=4'] Exploring Operation: 43*4=172, Resulting Numbers: [172] 172,51 unequal: No Solution Exploring Operation: 43-4=39, Resulting Numbers: [39] 39,51 unequal: No Solution Exploring Operation: 43+4=47, Resulting Numbers: [47] 47,51 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:[43, 21], Operations: ['91-48=43', '28-7=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 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
[ 92, 72, 20, 49 ]
49
[ "92-72=20", "20+49=69", "69-20=49" ]
Current State: 49:[92, 72, 20, 49], Operations: [] Exploring Operation: 92-72=20, Resulting Numbers: [20, 49, 20] Generated Node #2: [20, 49, 20] from Operation: 92-72=20 Current State: 49:[20, 49, 20], Operations: ['92-72=20'] Exploring Operation: 20+49=69, Resulting Numbers: [69] 69,49 equal: Goal Reached Exploring Operation: 69-20=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
Current State: 49:[92, 72, 20, 49], Operations: [] Exploring Operation: 92-20=72, Resulting Numbers: [72, 49, 72] Generated Node #0,0: 49:[72, 49, 72] Operation: 92-20=72 Exploring Operation: 92-72=20, Resulting Numbers: [20, 49, 20] Generated Node #0,1: 49:[20, 49, 20] Operation: 92-72=20 Exploring Operation: 92-49=43, Resulting Numbers: [72, 20, 43] Generated Node #0,2: 49:[72, 20, 43] Operation: 92-49=43 Exploring Operation: 72-20=52, Resulting Numbers: [92, 49, 52] Generated Node #0,3: 49:[92, 49, 52] Operation: 72-20=52 Start Sub Search at level 1: Moving to Node #0,1 Current State: 49:[20, 49, 20], Operations: ['92-72=20'] Exploring Operation: 20+20=40, Resulting Numbers: [49, 40] Generated Node #0,1,0: 49:[49, 40] Operation: 20+20=40 Exploring Operation: 20/20=1, Resulting Numbers: [49, 1] Generated Node #0,1,1: 49:[49, 1] Operation: 20/20=1 Exploring Operation: 20+49=69, Resulting Numbers: [20, 69] Generated Node #0,1,2: 49:[20, 69] Operation: 20+49=69 Exploring Operation: 20-20=0, Resulting Numbers: [49, 0] Generated Node #0,1,3: 49:[49, 0] Operation: 20-20=0 Moving to Node #0,1,1 Current State: 49:[49, 1], Operations: ['92-72=20', '20/20=1'] Exploring Operation: 49+1=50, Resulting Numbers: [50] 50,49 unequal: No Solution Exploring Operation: 49*1=49, Resulting Numbers: [49] 49,49 equal: Goal Reached Moving to Node #0 Current State: 49:[92, 72, 20, 49], Operations: [] Exploring Operation: 92-72=20, Resulting Numbers: [20, 49, 20] Generated Node #0,1: 49:[20, 49, 20] Operation: 92-72=20 Moving to Node #0,1 Current State: 49:[20, 49, 20], Operations: ['92-72=20'] Exploring Operation: 20/20=1, Resulting Numbers: [49, 1] Generated Node #0,1,1: 49:[49, 1] Operation: 20/20=1 Moving to Node #0,1,1 Current State: 49:[49, 1], Operations: ['92-72=20', '20/20=1'] Exploring Operation: 49*1=49, Resulting Numbers: [49] 49,49 equal: Goal Reached Exit Sub Search at level 1
0.987847
hs_4
mult_heuristic
[ 37, 92, 5, 8 ]
88
[ "92-37=55", "55/5=11", "8*11=88" ]
Current State: 88:[37, 92, 5, 8], Operations: [] Exploring Operation: 92-37=55, Resulting Numbers: [5, 8, 55] Generated Node #2: [5, 8, 55] from Operation: 92-37=55 Current State: 88:[5, 8, 55], Operations: ['92-37=55'] Exploring Operation: 55/5=11, Resulting Numbers: [8, 11] Generated Node #3: [8, 11] from Operation: 55/5=11 Current State: 88:[8, 11], Operations: ['92-37=55', '55/5=11'] Exploring Operation: 8*11=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
Current State: 88:[37, 92, 5, 8], Operations: [] Exploring Operation: 37+5=42, Resulting Numbers: [92, 8, 42] Generated Node #0,0: 88:[92, 8, 42] Operation: 37+5=42 Exploring Operation: 37+8=45, Resulting Numbers: [92, 5, 45] Generated Node #0,1: 88:[92, 5, 45] Operation: 37+8=45 Moving to Node #0,0 Current State: 88:[92, 8, 42], Operations: ['37+5=42'] Exploring Operation: 92-8=84, Resulting Numbers: [42, 84] Generated Node #0,0,0: 88:[42, 84] Operation: 92-8=84 Exploring Operation: 92-42=50, Resulting Numbers: [8, 50] Generated Node #0,0,1: 88:[8, 50] Operation: 92-42=50 Moving to Node #0,1 Current State: 88:[92, 5, 45], Operations: ['37+8=45'] Exploring Operation: 92-5=87, Resulting Numbers: [45, 87] Generated Node #0,1,0: 88:[45, 87] Operation: 92-5=87 Exploring Operation: 92-45=47, Resulting Numbers: [5, 47] Generated Node #0,1,1: 88:[5, 47] Operation: 92-45=47 Moving to Node #0,1,0 Current State: 88:[45, 87], Operations: ['37+8=45', '92-5=87'] Exploring Operation: 45+87=132, Resulting Numbers: [132] 132,88 unequal: No Solution Exploring Operation: 87-45=42, Resulting Numbers: [42] 42,88 unequal: No Solution Moving to Node #0,1,1 Current State: 88:[5, 47], Operations: ['37+8=45', '92-45=47'] Exploring Operation: 5+47=52, Resulting Numbers: [52] 52,88 unequal: No Solution Exploring Operation: 47-5=42, Resulting Numbers: [42] 42,88 unequal: No Solution Moving to Node #0,0,1 Current State: 88:[8, 50], Operations: ['37+5=42', '92-42=50'] Exploring Operation: 8+50=58, Resulting Numbers: [58] 58,88 unequal: No Solution Exploring Operation: 50-8=42, Resulting Numbers: [42] 42,88 unequal: No Solution Moving to Node #0,0,0 Current State: 88:[42, 84], Operations: ['37+5=42', '92-8=84'] Exploring Operation: 84-42=42, Resulting Numbers: [42] 42,88 unequal: No Solution Exploring Operation: 84/42=2, Resulting Numbers: [2] 2,88 unequal: No Solution No solution found.
0
hs_2
sum_heuristic
[ 63, 46, 36, 80 ]
61
[ "63-46=17", "80-36=44", "17+44=61" ]
Current State: 61:[63, 46, 36, 80], Operations: [] Exploring Operation: 63-46=17, Resulting Numbers: [36, 80, 17] Generated Node #2: [36, 80, 17] from Operation: 63-46=17 Current State: 61:[36, 80, 17], Operations: ['63-46=17'] Exploring Operation: 80-36=44, Resulting Numbers: [17, 44] Generated Node #3: [17, 44] from Operation: 80-36=44 Current State: 61:[17, 44], Operations: ['63-46=17', '80-36=44'] Exploring Operation: 17+44=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
Current State: 61:[63, 46, 36, 80], Operations: [] Exploring Operation: 80-36=44, Resulting Numbers: [63, 46, 44] Generated Node #0,0: 61:[63, 46, 44] Operation: 80-36=44 Start Sub Search at level 1: Moving to Node #0,0 Current State: 61:[63, 46, 44], Operations: ['80-36=44'] Exploring Operation: 46+44=90, Resulting Numbers: [63, 90] Generated Node #0,0,0: 61:[63, 90] Operation: 46+44=90 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 61:[63, 90], Operations: ['80-36=44', '46+44=90'] Exploring Operation: 90-63=27, Resulting Numbers: [27] 27,61 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
mult_heuristic
[ 64, 5, 2, 7 ]
40
[ "5+7=12", "2*12=24", "64-24=40" ]
Current State: 40:[64, 5, 2, 7], Operations: [] Exploring Operation: 5+7=12, Resulting Numbers: [64, 2, 12] Generated Node #2: [64, 2, 12] from Operation: 5+7=12 Current State: 40:[64, 2, 12], Operations: ['5+7=12'] Exploring Operation: 2*12=24, Resulting Numbers: [64, 24] Generated Node #3: [64, 24] from Operation: 2*12=24 Current State: 40:[64, 24], Operations: ['5+7=12', '2*12=24'] Exploring Operation: 64-24=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
Current State: 40:[64, 5, 2, 7], Operations: [] Exploring Operation: 64-7=57, Resulting Numbers: [5, 2, 57] Generated Node #0,0: 40:[5, 2, 57] Operation: 64-7=57 Exploring Operation: 64/2=32, Resulting Numbers: [5, 7, 32] Generated Node #0,1: 40:[5, 7, 32] Operation: 64/2=32 Moving to Node #0,1 Current State: 40:[5, 7, 32], Operations: ['64/2=32'] Exploring Operation: 5+32=37, Resulting Numbers: [7, 37] Generated Node #0,1,0: 40:[7, 37] Operation: 5+32=37 Exploring Operation: 7+32=39, Resulting Numbers: [5, 39] Generated Node #0,1,1: 40:[5, 39] Operation: 7+32=39 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 40:[5, 39], Operations: ['64/2=32', '7+32=39'] Exploring Operation: 5+39=44, Resulting Numbers: [44] 44,40 unequal: No Solution Exploring Operation: 39-5=34, Resulting Numbers: [34] 34,40 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 #0,1,0 Current State: 40:[7, 37], Operations: ['64/2=32', '5+32=37'] Exploring Operation: 37-7=30, Resulting Numbers: [30] 30,40 unequal: No Solution Exploring Operation: 7+37=44, Resulting Numbers: [44] 44,40 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: 40:[5, 2, 57], Operations: ['64-7=57'] Exploring Operation: 57-2=55, Resulting Numbers: [5, 55] Generated Node #0,0,0: 40:[5, 55] Operation: 57-2=55 Exploring Operation: 57-5=52, Resulting Numbers: [2, 52] Generated Node #0,0,1: 40:[2, 52] Operation: 57-5=52 Moving to Node #0,0,1 Current State: 40:[2, 52], Operations: ['64-7=57', '57-5=52'] Exploring Operation: 52-2=50, Resulting Numbers: [50] 50,40 unequal: No Solution Exploring Operation: 52/2=26, Resulting Numbers: [26] 26,40 unequal: No Solution Moving to Node #0,0,0 Current State: 40:[5, 55], Operations: ['64-7=57', '57-2=55'] Exploring Operation: 55/5=11, Resulting Numbers: [11] 11,40 unequal: No Solution Exploring Operation: 55-5=50, Resulting Numbers: [50] 50,40 unequal: No Solution No solution found.
0
hs_2
sum_heuristic
[ 5, 62, 28, 77 ]
48
[ "62-5=57", "28+77=105", "105-57=48" ]
Current State: 48:[5, 62, 28, 77], Operations: [] Exploring Operation: 62-5=57, Resulting Numbers: [28, 77, 57] Generated Node #2: [28, 77, 57] from Operation: 62-5=57 Current State: 48:[28, 77, 57], Operations: ['62-5=57'] Exploring Operation: 28+77=105, Resulting Numbers: [57, 105] Generated Node #3: [57, 105] from Operation: 28+77=105 Current State: 48:[57, 105], Operations: ['62-5=57', '28+77=105'] Exploring Operation: 105-57=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
Current State: 48:[5, 62, 28, 77], Operations: [] Exploring Operation: 77-62=15, Resulting Numbers: [5, 28, 15] Generated Node #0,0: 48:[5, 28, 15] Operation: 77-62=15 Start Sub Search at level 1: Moving to Node #0,0 Current State: 48:[5, 28, 15], Operations: ['77-62=15'] Exploring Operation: 28-5=23, Resulting Numbers: [15, 23] Generated Node #0,0,0: 48:[15, 23] Operation: 28-5=23 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 48:[15, 23], Operations: ['77-62=15', '28-5=23'] Exploring Operation: 23-15=8, Resulting Numbers: [8] 8,48 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
mult_heuristic
[ 37, 60, 54, 38 ]
69
[ "60-37=23", "54+38=92", "92-23=69" ]
Current State: 69:[37, 60, 54, 38], Operations: [] Exploring Operation: 60-37=23, Resulting Numbers: [54, 38, 23] Generated Node #2: [54, 38, 23] from Operation: 60-37=23 Current State: 69:[54, 38, 23], Operations: ['60-37=23'] Exploring Operation: 54+38=92, Resulting Numbers: [23, 92] Generated Node #3: [23, 92] from Operation: 54+38=92 Current State: 69:[23, 92], Operations: ['60-37=23', '54+38=92'] Exploring Operation: 92-23=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
Current State: 69:[37, 60, 54, 38], Operations: [] Exploring Operation: 38-37=1, Resulting Numbers: [60, 54, 1] Generated Node #0,0: 69:[60, 54, 1] Operation: 38-37=1 Exploring Operation: 60-37=23, Resulting Numbers: [54, 38, 23] Generated Node #0,1: 69:[54, 38, 23] Operation: 60-37=23 Exploring Operation: 54-37=17, Resulting Numbers: [60, 38, 17] Generated Node #0,2: 69:[60, 38, 17] Operation: 54-37=17 Moving to Node #0,0 Current State: 69:[60, 54, 1], Operations: ['38-37=1'] Exploring Operation: 60+1=61, Resulting Numbers: [54, 61] Generated Node #0,0,0: 69:[54, 61] Operation: 60+1=61 Exploring Operation: 54+1=55, Resulting Numbers: [60, 55] Generated Node #0,0,1: 69:[60, 55] Operation: 54+1=55 Exploring Operation: 60-54=6, Resulting Numbers: [1, 6] Generated Node #0,0,2: 69:[1, 6] Operation: 60-54=6 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 69:[1, 6], Operations: ['38-37=1', '60-54=6'] Exploring Operation: 1*6=6, Resulting Numbers: [6] 6,69 unequal: No Solution Exploring Operation: 6-1=5, Resulting Numbers: [5] 5,69 unequal: No Solution Exploring Operation: 6/1=6, Resulting Numbers: [6] 6,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 69:[54, 61], Operations: ['38-37=1', '60+1=61'] Exploring Operation: 54+61=115, Resulting Numbers: [115] 115,69 unequal: No Solution Exploring Operation: 61-54=7, Resulting Numbers: [7] 7,69 unequal: No Solution Exploring Operation: 54*61=3294, Resulting Numbers: [3294] 3294,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 69:[60, 55], Operations: ['38-37=1', '54+1=55'] Exploring Operation: 60*55=3300, Resulting Numbers: [3300] 3300,69 unequal: No Solution Exploring Operation: 60-55=5, Resulting Numbers: [5] 5,69 unequal: No Solution Exploring Operation: 60+55=115, Resulting Numbers: [115] 115,69 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: 69:[54, 38, 23], Operations: ['60-37=23'] Exploring Operation: 54+38=92, Resulting Numbers: [23, 92] Generated Node #0,1,0: 69:[23, 92] Operation: 54+38=92 Exploring Operation: 54-38=16, Resulting Numbers: [23, 16] Generated Node #0,1,1: 69:[23, 16] Operation: 54-38=16 Exploring Operation: 54+23=77, Resulting Numbers: [38, 77] Generated Node #0,1,2: 69:[38, 77] Operation: 54+23=77 Moving to Node #0,2 Current State: 69:[60, 38, 17], Operations: ['54-37=17'] Exploring Operation: 38-17=21, Resulting Numbers: [60, 21] Generated Node #0,2,0: 69:[60, 21] Operation: 38-17=21 Exploring Operation: 60+17=77, Resulting Numbers: [38, 77] Generated Node #0,2,1: 69:[38, 77] Operation: 60+17=77 Exploring Operation: 60-38=22, Resulting Numbers: [17, 22] Generated Node #0,2,2: 69:[17, 22] Operation: 60-38=22 Moving to Node #0,1,1 Current State: 69:[23, 16], Operations: ['60-37=23', '54-38=16'] Exploring Operation: 23-16=7, Resulting Numbers: [7] 7,69 unequal: No Solution Exploring Operation: 23*16=368, Resulting Numbers: [368] 368,69 unequal: No Solution Exploring Operation: 23+16=39, Resulting Numbers: [39] 39,69 unequal: No Solution Moving to Node #0,2,2 Current State: 69:[17, 22], Operations: ['54-37=17', '60-38=22'] Exploring Operation: 22-17=5, Resulting Numbers: [5] 5,69 unequal: No Solution Exploring Operation: 17+22=39, Resulting Numbers: [39] 39,69 unequal: No Solution Exploring Operation: 17*22=374, Resulting Numbers: [374] 374,69 unequal: No Solution Moving to Node #0,2,0 Current State: 69:[60, 21], Operations: ['54-37=17', '38-17=21'] Exploring Operation: 60*21=1260, Resulting Numbers: [1260] 1260,69 unequal: No Solution Exploring Operation: 60+21=81, Resulting Numbers: [81] 81,69 unequal: No Solution Exploring Operation: 60-21=39, Resulting Numbers: [39] 39,69 unequal: No Solution Moving to Node #0,1,2 Current State: 69:[38, 77], Operations: ['60-37=23', '54+23=77'] Exploring Operation: 38*77=2926, Resulting Numbers: [2926] 2926,69 unequal: No Solution Exploring Operation: 77-38=39, Resulting Numbers: [39] 39,69 unequal: No Solution Exploring Operation: 38+77=115, Resulting Numbers: [115] 115,69 unequal: No Solution Moving to Node #0,1,0 Current State: 69:[23, 92], Operations: ['60-37=23', '54+38=92'] Exploring Operation: 92-23=69, Resulting Numbers: [69] 69,69 equal: Goal Reached Moving to Node #0 Current State: 69:[37, 60, 54, 38], Operations: [] Exploring Operation: 60-37=23, Resulting Numbers: [54, 38, 23] Generated Node #0,1: 69:[54, 38, 23] Operation: 60-37=23 Moving to Node #0,1 Current State: 69:[54, 38, 23], Operations: ['60-37=23'] Exploring Operation: 54+38=92, Resulting Numbers: [23, 92] Generated Node #0,1,0: 69:[23, 92] Operation: 54+38=92 Moving to Node #0,1,0 Current State: 69:[23, 92], Operations: ['60-37=23', '54+38=92'] Exploring Operation: 92-23=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
0.967014
hs_3
mult_heuristic
[ 91, 4, 28, 43 ]
40
[ "91-43=48", "48/4=12", "28+12=40" ]
Current State: 40:[91, 4, 28, 43], Operations: [] Exploring Operation: 91-43=48, Resulting Numbers: [4, 28, 48] Generated Node #2: [4, 28, 48] from Operation: 91-43=48 Current State: 40:[4, 28, 48], Operations: ['91-43=48'] Exploring Operation: 48/4=12, Resulting Numbers: [28, 12] Generated Node #3: [28, 12] from Operation: 48/4=12 Current State: 40:[28, 12], Operations: ['91-43=48', '48/4=12'] Exploring Operation: 28+12=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
Current State: 40:[91, 4, 28, 43], Operations: [] Exploring Operation: 28/4=7, Resulting Numbers: [91, 43, 7] Generated Node #0,0: 40:[91, 43, 7] Operation: 28/4=7 Exploring Operation: 91-28=63, Resulting Numbers: [4, 43, 63] Generated Node #0,1: 40:[4, 43, 63] Operation: 91-28=63 Exploring Operation: 91-43=48, Resulting Numbers: [4, 28, 48] Generated Node #0,2: 40:[4, 28, 48] Operation: 91-43=48 Moving to Node #0,2 Current State: 40:[4, 28, 48], Operations: ['91-43=48'] Exploring Operation: 48/4=12, Resulting Numbers: [28, 12] Generated Node #0,2,0: 40:[28, 12] Operation: 48/4=12 Exploring Operation: 28/4=7, Resulting Numbers: [48, 7] Generated Node #0,2,1: 40:[48, 7] Operation: 28/4=7 Exploring Operation: 48-28=20, Resulting Numbers: [4, 20] Generated Node #0,2,2: 40:[4, 20] Operation: 48-28=20 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 40:[4, 20], Operations: ['91-43=48', '48-28=20'] Exploring Operation: 20-4=16, Resulting Numbers: [16] 16,40 unequal: No Solution Exploring Operation: 4+20=24, Resulting Numbers: [24] 24,40 unequal: No Solution Exploring Operation: 20/4=5, Resulting Numbers: [5] 5,40 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 #0,2,1 Current State: 40:[48, 7], Operations: ['91-43=48', '28/4=7'] Exploring Operation: 48-7=41, Resulting Numbers: [41] 41,40 unequal: No Solution Exploring Operation: 48+7=55, Resulting Numbers: [55] 55,40 unequal: No Solution Exploring Operation: 48*7=336, Resulting Numbers: [336] 336,40 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 #0,2,0 Current State: 40:[28, 12], Operations: ['91-43=48', '48/4=12'] Exploring Operation: 28*12=336, Resulting Numbers: [336] 336,40 unequal: No Solution Exploring Operation: 28+12=40, Resulting Numbers: [40] 40,40 equal: Goal Reached Moving to Node #0 Current State: 40:[91, 4, 28, 43], Operations: [] Exploring Operation: 91-43=48, Resulting Numbers: [4, 28, 48] Generated Node #0,2: 40:[4, 28, 48] Operation: 91-43=48 Moving to Node #0,2 Current State: 40:[4, 28, 48], Operations: ['91-43=48'] Exploring Operation: 48/4=12, Resulting Numbers: [28, 12] Generated Node #0,2,0: 40:[28, 12] Operation: 48/4=12 Moving to Node #0,2,0 Current State: 40:[28, 12], Operations: ['91-43=48', '48/4=12'] Exploring Operation: 28+12=40, Resulting Numbers: [40] 40,40 equal: Goal Reached Exit Sub Search at level 1
0.984375
hs_3
mult_heuristic
[ 1, 9, 52, 32 ]
93
[ "1*9=9", "52+32=84", "9+84=93" ]
Current State: 93:[1, 9, 52, 32], Operations: [] Exploring Operation: 1*9=9, Resulting Numbers: [52, 32, 9] Generated Node #2: [52, 32, 9] from Operation: 1*9=9 Current State: 93:[52, 32, 9], Operations: ['1*9=9'] Exploring Operation: 52+32=84, Resulting Numbers: [9, 84] Generated Node #3: [9, 84] from Operation: 52+32=84 Current State: 93:[9, 84], Operations: ['1*9=9', '52+32=84'] Exploring Operation: 9+84=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
Current State: 93:[1, 9, 52, 32], Operations: [] Exploring Operation: 52-9=43, Resulting Numbers: [1, 32, 43] Generated Node #0,0: 93:[1, 32, 43] Operation: 52-9=43 Exploring Operation: 52-32=20, Resulting Numbers: [1, 9, 20] Generated Node #0,1: 93:[1, 9, 20] Operation: 52-32=20 Exploring Operation: 52+32=84, Resulting Numbers: [1, 9, 84] Generated Node #0,2: 93:[1, 9, 84] Operation: 52+32=84 Exploring Operation: 52-1=51, Resulting Numbers: [9, 32, 51] Generated Node #0,3: 93:[9, 32, 51] Operation: 52-1=51 Exploring Operation: 9-1=8, Resulting Numbers: [52, 32, 8] Generated Node #0,4: 93:[52, 32, 8] Operation: 9-1=8 Moving to Node #0,0 Current State: 93:[1, 32, 43], Operations: ['52-9=43'] Exploring Operation: 32-1=31, Resulting Numbers: [43, 31] Generated Node #0,0,0: 93:[43, 31] Operation: 32-1=31 Exploring Operation: 32/1=32, Resulting Numbers: [43, 32] Generated Node #0,0,1: 93:[43, 32] Operation: 32/1=32 Exploring Operation: 43-32=11, Resulting Numbers: [1, 11] Generated Node #0,0,2: 93:[1, 11] Operation: 43-32=11 Exploring Operation: 1*32=32, Resulting Numbers: [43, 32] Generated Node #0,0,3: 93:[43, 32] Operation: 1*32=32 Exploring Operation: 43-1=42, Resulting Numbers: [32, 42] Generated Node #0,0,4: 93:[32, 42] Operation: 43-1=42 Moving to Node #0,2 Current State: 93:[1, 9, 84], Operations: ['52+32=84'] Exploring Operation: 9/1=9, Resulting Numbers: [84, 9] Generated Node #0,2,0: 93:[84, 9] Operation: 9/1=9 Exploring Operation: 9+84=93, Resulting Numbers: [1, 93] Generated Node #0,2,1: 93:[1, 93] Operation: 9+84=93 Exploring Operation: 9-1=8, Resulting Numbers: [84, 8] Generated Node #0,2,2: 93:[84, 8] Operation: 9-1=8 Exploring Operation: 1*9=9, Resulting Numbers: [84, 9] Generated Node #0,2,3: 93:[84, 9] Operation: 1*9=9 Exploring Operation: 1+84=85, Resulting Numbers: [9, 85] Generated Node #0,2,4: 93:[9, 85] Operation: 1+84=85 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 93:[1, 93], Operations: ['52+32=84', '9+84=93'] Exploring Operation: 93/1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached Moving to Node #0 Current State: 93:[1, 9, 52, 32], Operations: [] Exploring Operation: 52+32=84, Resulting Numbers: [1, 9, 84] Generated Node #0,2: 93:[1, 9, 84] Operation: 52+32=84 Moving to Node #0,2 Current State: 93:[1, 9, 84], Operations: ['52+32=84'] Exploring Operation: 9+84=93, Resulting Numbers: [1, 93] Generated Node #0,2,1: 93:[1, 93] Operation: 9+84=93 Moving to Node #0,2,1 Current State: 93:[1, 93], Operations: ['52+32=84', '9+84=93'] Exploring Operation: 93/1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached Exit Sub Search at level 1
0.982639
hs_5
sum_heuristic
[ 70, 26, 19, 20 ]
97
[ "70+26=96", "20-19=1", "96+1=97" ]
Current State: 97:[70, 26, 19, 20], Operations: [] Exploring Operation: 70+26=96, Resulting Numbers: [19, 20, 96] Generated Node #2: [19, 20, 96] from Operation: 70+26=96 Current State: 97:[19, 20, 96], Operations: ['70+26=96'] Exploring Operation: 20-19=1, Resulting Numbers: [96, 1] Generated Node #3: [96, 1] from Operation: 20-19=1 Current State: 97:[96, 1], Operations: ['70+26=96', '20-19=1'] Exploring Operation: 96+1=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
Current State: 97:[70, 26, 19, 20], Operations: [] Exploring Operation: 70+20=90, Resulting Numbers: [26, 19, 90] Generated Node #0,0: 97:[26, 19, 90] Operation: 70+20=90 Exploring Operation: 26+19=45, Resulting Numbers: [70, 20, 45] Generated Node #0,1: 97:[70, 20, 45] Operation: 26+19=45 Exploring Operation: 70+19=89, Resulting Numbers: [26, 20, 89] Generated Node #0,2: 97:[26, 20, 89] Operation: 70+19=89 Exploring Operation: 70+26=96, Resulting Numbers: [19, 20, 96] Generated Node #0,3: 97:[19, 20, 96] Operation: 70+26=96 Start Sub Search at level 1: Moving to Node #0,0 Current State: 97:[26, 19, 90], Operations: ['70+20=90'] Exploring Operation: 26+90=116, Resulting Numbers: [19, 116] Generated Node #0,0,0: 97:[19, 116] Operation: 26+90=116 Exploring Operation: 26+19=45, Resulting Numbers: [90, 45] Generated Node #0,0,1: 97:[90, 45] Operation: 26+19=45 Exploring Operation: 19+90=109, Resulting Numbers: [26, 109] Generated Node #0,0,2: 97:[26, 109] Operation: 19+90=109 Exploring Operation: 26-19=7, Resulting Numbers: [90, 7] Generated Node #0,0,3: 97:[90, 7] Operation: 26-19=7 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 97:[90, 45], Operations: ['70+20=90', '26+19=45'] Exploring Operation: 90-45=45, Resulting Numbers: [45] 45,97 unequal: No Solution Exploring Operation: 90+45=135, Resulting Numbers: [135] 135,97 unequal: No Solution Exploring Operation: 90/45=2, Resulting Numbers: [2] 2,97 unequal: No Solution Exploring Operation: 90*45=4050, Resulting Numbers: [4050] 4050,97 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 97:[26, 109], Operations: ['70+20=90', '19+90=109'] Exploring Operation: 26*109=2834, Resulting Numbers: [2834] 2834,97 unequal: No Solution Exploring Operation: 26+109=135, Resulting Numbers: [135] 135,97 unequal: No Solution Exploring Operation: 109-26=83, Resulting Numbers: [83] 83,97 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 97:[19, 116], Operations: ['70+20=90', '26+90=116'] Exploring Operation: 116-19=97, Resulting Numbers: [97] 97,97 equal: Goal Reached Moving to Node #0 Current State: 97:[70, 26, 19, 20], Operations: [] Exploring Operation: 70+20=90, Resulting Numbers: [26, 19, 90] Generated Node #0,0: 97:[26, 19, 90] Operation: 70+20=90 Moving to Node #0,0 Current State: 97:[26, 19, 90], Operations: ['70+20=90'] Exploring Operation: 26+90=116, Resulting Numbers: [19, 116] Generated Node #0,0,0: 97:[19, 116] Operation: 26+90=116 Moving to Node #0,0,0 Current State: 97:[19, 116], Operations: ['70+20=90', '26+90=116'] Exploring Operation: 116-19=97, Resulting Numbers: [97] 97,97 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.982639
hs_4
mult_heuristic
[ 48, 2, 48, 6 ]
42
[ "48+2=50", "48/6=8", "50-8=42" ]
Current State: 42:[48, 2, 48, 6], Operations: [] Exploring Operation: 48+2=50, Resulting Numbers: [6, 50] Generated Node #2: [6, 50] from Operation: 48+2=50 Current State: 42:[6, 50], Operations: ['48+2=50'] Exploring Operation: 48/6=8, Resulting Numbers: [50, 8] Generated Node #3: [50, 8] from Operation: 48/6=8 Current State: 42:[50, 8], Operations: ['48+2=50', '48/6=8'] Exploring Operation: 50-8=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
Current State: 42:[48, 2, 48, 6], Operations: [] Exploring Operation: 48/48=1, Resulting Numbers: [2, 6, 1] Generated Node #0,0: 42:[2, 6, 1] Operation: 48/48=1 Moving to Node #0,0 Current State: 42:[2, 6, 1], Operations: ['48/48=1'] Exploring Operation: 2+1=3, Resulting Numbers: [6, 3] Generated Node #0,0,0: 42:[6, 3] Operation: 2+1=3 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 42:[6, 3], Operations: ['48/48=1', '2+1=3'] Exploring Operation: 6-3=3, Resulting Numbers: [3] 3,42 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 36, 11, 11, 5 ]
70
[ "36-11=25", "25-11=14", "5*14=70" ]
Current State: 70:[36, 11, 11, 5], Operations: [] Exploring Operation: 36-11=25, Resulting Numbers: [5, 25] Generated Node #2: [5, 25] from Operation: 36-11=25 Current State: 70:[5, 25], Operations: ['36-11=25'] Exploring Operation: 25-11=14, Resulting Numbers: [5, 14] Generated Node #3: [5, 14] from Operation: 25-11=14 Current State: 70:[5, 14], Operations: ['36-11=25', '25-11=14'] Exploring Operation: 5*14=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
Current State: 70:[36, 11, 11, 5], Operations: [] Exploring Operation: 11/11=1, Resulting Numbers: [36, 5, 1] Generated Node #0,0: 70:[36, 5, 1] Operation: 11/11=1 Exploring Operation: 11-5=6, Resulting Numbers: [36, 11, 6] Generated Node #0,1: 70:[36, 11, 6] Operation: 11-5=6 Exploring Operation: 11+5=16, Resulting Numbers: [36, 11, 16] Generated Node #0,2: 70:[36, 11, 16] Operation: 11+5=16 Exploring Operation: 11-5=6, Resulting Numbers: [36, 11, 6] Generated Node #0,3: 70:[36, 11, 6] Operation: 11-5=6 Exploring Operation: 11-11=0, Resulting Numbers: [36, 5, 0] Generated Node #0,4: 70:[36, 5, 0] Operation: 11-11=0 Moving to Node #0,0 Current State: 70:[36, 5, 1], Operations: ['11/11=1'] Exploring Operation: 36/1=36, Resulting Numbers: [5, 36] Generated Node #0,0,0: 70:[5, 36] Operation: 36/1=36 Exploring Operation: 36-1=35, Resulting Numbers: [5, 35] Generated Node #0,0,1: 70:[5, 35] Operation: 36-1=35 Exploring Operation: 36*1=36, Resulting Numbers: [5, 36] Generated Node #0,0,2: 70:[5, 36] Operation: 36*1=36 Exploring Operation: 5/1=5, Resulting Numbers: [36, 5] Generated Node #0,0,3: 70:[36, 5] Operation: 5/1=5 Exploring Operation: 5*1=5, Resulting Numbers: [36, 5] Generated Node #0,0,4: 70:[36, 5] Operation: 5*1=5 Moving to Node #0,3 Current State: 70:[36, 11, 6], Operations: ['11-5=6'] Exploring Operation: 36-6=30, Resulting Numbers: [11, 30] Generated Node #0,3,0: 70:[11, 30] Operation: 36-6=30 Exploring Operation: 11+6=17, Resulting Numbers: [36, 17] Generated Node #0,3,1: 70:[36, 17] Operation: 11+6=17 Exploring Operation: 36/6=6, Resulting Numbers: [11, 6] Generated Node #0,3,2: 70:[11, 6] Operation: 36/6=6 Exploring Operation: 11*6=66, Resulting Numbers: [36, 66] Generated Node #0,3,3: 70:[36, 66] Operation: 11*6=66 Exploring Operation: 11-6=5, Resulting Numbers: [36, 5] Generated Node #0,3,4: 70:[36, 5] Operation: 11-6=5 Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 70:[36, 5], Operations: ['11-5=6', '11-6=5'] Exploring Operation: 36*5=180, Resulting Numbers: [180] 180,70 unequal: No Solution Exploring Operation: 36+5=41, Resulting Numbers: [41] 41,70 unequal: No Solution Exploring Operation: 36-5=31, Resulting Numbers: [31] 31,70 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 #0,3,2 Current State: 70:[11, 6], Operations: ['11-5=6', '36/6=6'] Exploring Operation: 11*6=66, Resulting Numbers: [66] 66,70 unequal: No Solution Exploring Operation: 11+6=17, Resulting Numbers: [17] 17,70 unequal: No Solution Exploring Operation: 11-6=5, Resulting Numbers: [5] 5,70 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 #0,3,1 Current State: 70:[36, 17], Operations: ['11-5=6', '11+6=17'] Exploring Operation: 36-17=19, Resulting Numbers: [19] 19,70 unequal: No Solution Exploring Operation: 36+17=53, Resulting Numbers: [53] 53,70 unequal: No Solution Exploring Operation: 36*17=612, Resulting Numbers: [612] 612,70 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 #0,3,3 Current State: 70:[36, 66], Operations: ['11-5=6', '11*6=66'] Exploring Operation: 36+66=102, Resulting Numbers: [102] 102,70 unequal: No Solution Exploring Operation: 36*66=2376, Resulting Numbers: [2376] 2376,70 unequal: No Solution Exploring Operation: 66-36=30, Resulting Numbers: [30] 30,70 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 #0,3,0 Current State: 70:[11, 30], Operations: ['11-5=6', '36-6=30'] Exploring Operation: 30-11=19, Resulting Numbers: [19] 19,70 unequal: No Solution Exploring Operation: 11*30=330, Resulting Numbers: [330] 330,70 unequal: No Solution Exploring Operation: 11+30=41, Resulting Numbers: [41] 41,70 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: 70:[36, 11, 6], Operations: ['11-5=6'] Exploring Operation: 36-6=30, Resulting Numbers: [11, 30] Generated Node #0,1,0: 70:[11, 30] Operation: 36-6=30 Exploring Operation: 11*6=66, Resulting Numbers: [36, 66] Generated Node #0,1,1: 70:[36, 66] Operation: 11*6=66 Exploring Operation: 11-6=5, Resulting Numbers: [36, 5] Generated Node #0,1,2: 70:[36, 5] Operation: 11-6=5 Exploring Operation: 11+6=17, Resulting Numbers: [36, 17] Generated Node #0,1,3: 70:[36, 17] Operation: 11+6=17 Exploring Operation: 36/6=6, Resulting Numbers: [11, 6] Generated Node #0,1,4: 70:[11, 6] Operation: 36/6=6 Moving to Node #0,4 Current State: 70:[36, 5, 0], Operations: ['11-11=0'] Exploring Operation: 36+0=36, Resulting Numbers: [5, 36] Generated Node #0,4,0: 70:[5, 36] Operation: 36+0=36 Exploring Operation: 5-0=5, Resulting Numbers: [36, 5] Generated Node #0,4,1: 70:[36, 5] Operation: 5-0=5 Exploring Operation: 36-0=36, Resulting Numbers: [5, 36] Generated Node #0,4,2: 70:[5, 36] Operation: 36-0=36 Exploring Operation: 5+0=5, Resulting Numbers: [36, 5] Generated Node #0,4,3: 70:[36, 5] Operation: 5+0=5 Exploring Operation: 36*0=0, Resulting Numbers: [5, 0] Generated Node #0,4,4: 70:[5, 0] Operation: 36*0=0 Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 70:[5, 36], Operations: ['11-11=0', '36+0=36'] Exploring Operation: 5*36=180, Resulting Numbers: [180] 180,70 unequal: No Solution Exploring Operation: 36-5=31, Resulting Numbers: [31] 31,70 unequal: No Solution Exploring Operation: 5+36=41, Resulting Numbers: [41] 41,70 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 #0,4,1 Current State: 70:[36, 5], Operations: ['11-11=0', '5-0=5'] Exploring Operation: 36+5=41, Resulting Numbers: [41] 41,70 unequal: No Solution Exploring Operation: 36*5=180, Resulting Numbers: [180] 180,70 unequal: No Solution Exploring Operation: 36-5=31, Resulting Numbers: [31] 31,70 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:[5, 36], Operations: ['11-11=0', '36-0=36'] Exploring Operation: 5*36=180, Resulting Numbers: [180] 180,70 unequal: No Solution Exploring Operation: 5+36=41, Resulting Numbers: [41] 41,70 unequal: No Solution Exploring Operation: 36-5=31, Resulting Numbers: [31] 31,70 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:[36, 5], Operations: ['11-11=0', '5+0=5'] Exploring Operation: 36+5=41, Resulting Numbers: [41] 41,70 unequal: No Solution Exploring Operation: 36-5=31, Resulting Numbers: [31] 31,70 unequal: No Solution Exploring Operation: 36*5=180, Resulting Numbers: [180] 180,70 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:[5, 0], Operations: ['11-11=0', '36*0=0'] Exploring Operation: 5*0=0, Resulting Numbers: [0] 0,70 unequal: No Solution Exploring Operation: 5-0=5, Resulting Numbers: [5] 5,70 unequal: No Solution Exploring Operation: 5+0=5, Resulting Numbers: [5] 5,70 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:[36, 11, 16], Operations: ['11+5=16'] Exploring Operation: 16-11=5, Resulting Numbers: [36, 5] Generated Node #0,2,0: 70:[36, 5] Operation: 16-11=5 Exploring Operation: 36-11=25, Resulting Numbers: [16, 25] Generated Node #0,2,1: 70:[16, 25] Operation: 36-11=25 Exploring Operation: 36+11=47, Resulting Numbers: [16, 47] Generated Node #0,2,2: 70:[16, 47] Operation: 36+11=47 Exploring Operation: 36-16=20, Resulting Numbers: [11, 20] Generated Node #0,2,3: 70:[11, 20] Operation: 36-16=20 Exploring Operation: 11+16=27, Resulting Numbers: [36, 27] Generated Node #0,2,4: 70:[36, 27] Operation: 11+16=27 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 70:[36, 5], Operations: ['11+5=16', '16-11=5'] Exploring Operation: 36-5=31, Resulting Numbers: [31] 31,70 unequal: No Solution Exploring Operation: 36+5=41, Resulting Numbers: [41] 41,70 unequal: No Solution Exploring Operation: 36*5=180, Resulting Numbers: [180] 180,70 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:[11, 20], Operations: ['11+5=16', '36-16=20'] Exploring Operation: 20-11=9, Resulting Numbers: [9] 9,70 unequal: No Solution Exploring Operation: 11*20=220, Resulting Numbers: [220] 220,70 unequal: No Solution Exploring Operation: 11+20=31, Resulting Numbers: [31] 31,70 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 #0,2,4 Current State: 70:[36, 27], Operations: ['11+5=16', '11+16=27'] Exploring Operation: 36*27=972, Resulting Numbers: [972] 972,70 unequal: No Solution Exploring Operation: 36+27=63, Resulting Numbers: [63] 63,70 unequal: No Solution Exploring Operation: 36-27=9, Resulting Numbers: [9] 9,70 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:[16, 25], Operations: ['11+5=16', '36-11=25'] Exploring Operation: 25-16=9, Resulting Numbers: [9] 9,70 unequal: No Solution Exploring Operation: 16+25=41, Resulting Numbers: [41] 41,70 unequal: No Solution Exploring Operation: 16*25=400, Resulting Numbers: [400] 400,70 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:[16, 47], Operations: ['11+5=16', '36+11=47'] Exploring Operation: 16+47=63, Resulting Numbers: [63] 63,70 unequal: No Solution Exploring Operation: 16*47=752, Resulting Numbers: [752] 752,70 unequal: No Solution Exploring Operation: 47-16=31, Resulting Numbers: [31] 31,70 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0,1 Current State: 70:[5, 35], Operations: ['11/11=1', '36-1=35'] Exploring Operation: 5+35=40, Resulting Numbers: [40] 40,70 unequal: No Solution Exploring Operation: 35/5=7, Resulting Numbers: [7] 7,70 unequal: No Solution Exploring Operation: 5*35=175, Resulting Numbers: [175] 175,70 unequal: No Solution Exploring Operation: 35-5=30, Resulting Numbers: [30] 30,70 unequal: No Solution Moving to Node #0,0,2 Current State: 70:[5, 36], Operations: ['11/11=1', '36*1=36'] Exploring Operation: 36-5=31, Resulting Numbers: [31] 31,70 unequal: No Solution Exploring Operation: 5+36=41, Resulting Numbers: [41] 41,70 unequal: No Solution Exploring Operation: 5*36=180, Resulting Numbers: [180] 180,70 unequal: No Solution Moving to Node #0,1,2 Current State: 70:[36, 5], Operations: ['11-5=6', '11-6=5'] Exploring Operation: 36-5=31, Resulting Numbers: [31] 31,70 unequal: No Solution Exploring Operation: 36*5=180, Resulting Numbers: [180] 180,70 unequal: No Solution Exploring Operation: 36+5=41, Resulting Numbers: [41] 41,70 unequal: No Solution Moving to Node #0,0,0 Current State: 70:[5, 36], Operations: ['11/11=1', '36/1=36'] Exploring Operation: 5*36=180, Resulting Numbers: [180] 180,70 unequal: No Solution Exploring Operation: 5+36=41, Resulting Numbers: [41] 41,70 unequal: No Solution Exploring Operation: 36-5=31, Resulting Numbers: [31] 31,70 unequal: No Solution Moving to Node #0,0,4 Current State: 70:[36, 5], Operations: ['11/11=1', '5*1=5'] Exploring Operation: 36+5=41, Resulting Numbers: [41] 41,70 unequal: No Solution Exploring Operation: 36-5=31, Resulting Numbers: [31] 31,70 unequal: No Solution Exploring Operation: 36*5=180, Resulting Numbers: [180] 180,70 unequal: No Solution Moving to Node #0,0,3 Current State: 70:[36, 5], Operations: ['11/11=1', '5/1=5'] Exploring Operation: 36*5=180, Resulting Numbers: [180] 180,70 unequal: No Solution Exploring Operation: 36-5=31, Resulting Numbers: [31] 31,70 unequal: No Solution Exploring Operation: 36+5=41, Resulting Numbers: [41] 41,70 unequal: No Solution Moving to Node #0,1,4 Current State: 70:[11, 6], Operations: ['11-5=6', '36/6=6'] Exploring Operation: 11*6=66, Resulting Numbers: [66] 66,70 unequal: No Solution Exploring Operation: 11-6=5, Resulting Numbers: [5] 5,70 unequal: No Solution Exploring Operation: 11+6=17, Resulting Numbers: [17] 17,70 unequal: No Solution Moving to Node #0,1,3 Current State: 70:[36, 17], Operations: ['11-5=6', '11+6=17'] Exploring Operation: 36-17=19, Resulting Numbers: [19] 19,70 unequal: No Solution Exploring Operation: 36+17=53, Resulting Numbers: [53] 53,70 unequal: No Solution Exploring Operation: 36*17=612, Resulting Numbers: [612] 612,70 unequal: No Solution Moving to Node #0,1,1 Current State: 70:[36, 66], Operations: ['11-5=6', '11*6=66'] Exploring Operation: 36*66=2376, Resulting Numbers: [2376] 2376,70 unequal: No Solution Exploring Operation: 66-36=30, Resulting Numbers: [30] 30,70 unequal: No Solution Exploring Operation: 36+66=102, Resulting Numbers: [102] 102,70 unequal: No Solution Moving to Node #0,1,0 Current State: 70:[11, 30], Operations: ['11-5=6', '36-6=30'] Exploring Operation: 11*30=330, Resulting Numbers: [330] 330,70 unequal: No Solution Exploring Operation: 11+30=41, Resulting Numbers: [41] 41,70 unequal: No Solution Exploring Operation: 30-11=19, Resulting Numbers: [19] 19,70 unequal: No Solution No solution found.
0
hs_5
mult_heuristic
[ 84, 32, 10, 23 ]
46
[ "84*23=1932", "32+10=42", "1932/42=46" ]
Current State: 46:[84, 32, 10, 23], Operations: [] Exploring Operation: 84*23=1932, Resulting Numbers: [32, 10, 1932] Generated Node #2: [32, 10, 1932] from Operation: 84*23=1932 Current State: 46:[32, 10, 1932], Operations: ['84*23=1932'] Exploring Operation: 32+10=42, Resulting Numbers: [1932, 42] Generated Node #3: [1932, 42] from Operation: 32+10=42 Current State: 46:[1932, 42], Operations: ['84*23=1932', '32+10=42'] Exploring Operation: 1932/42=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
Current State: 46:[84, 32, 10, 23], Operations: [] Exploring Operation: 84-10=74, Resulting Numbers: [32, 23, 74] Generated Node #0,0: 46:[32, 23, 74] Operation: 84-10=74 Exploring Operation: 84-23=61, Resulting Numbers: [32, 10, 61] Generated Node #0,1: 46:[32, 10, 61] Operation: 84-23=61 Exploring Operation: 84-32=52, Resulting Numbers: [10, 23, 52] Generated Node #0,2: 46:[10, 23, 52] Operation: 84-32=52 Moving to Node #0,2 Current State: 46:[10, 23, 52], Operations: ['84-32=52'] Exploring Operation: 52-23=29, Resulting Numbers: [10, 29] Generated Node #0,2,0: 46:[10, 29] Operation: 52-23=29 Exploring Operation: 10+23=33, Resulting Numbers: [52, 33] Generated Node #0,2,1: 46:[52, 33] Operation: 10+23=33 Exploring Operation: 52-10=42, Resulting Numbers: [23, 42] Generated Node #0,2,2: 46:[23, 42] Operation: 52-10=42 Moving to Node #0,1 Current State: 46:[32, 10, 61], Operations: ['84-23=61'] Exploring Operation: 61-10=51, Resulting Numbers: [32, 51] Generated Node #0,1,0: 46:[32, 51] Operation: 61-10=51 Exploring Operation: 61-32=29, Resulting Numbers: [10, 29] Generated Node #0,1,1: 46:[10, 29] Operation: 61-32=29 Exploring Operation: 32-10=22, Resulting Numbers: [61, 22] Generated Node #0,1,2: 46:[61, 22] Operation: 32-10=22 Moving to Node #0,0 Current State: 46:[32, 23, 74], Operations: ['84-10=74'] Exploring Operation: 74-32=42, Resulting Numbers: [23, 42] Generated Node #0,0,0: 46:[23, 42] Operation: 74-32=42 Exploring Operation: 32-23=9, Resulting Numbers: [74, 9] Generated Node #0,0,1: 46:[74, 9] Operation: 32-23=9 Exploring Operation: 74-23=51, Resulting Numbers: [32, 51] Generated Node #0,0,2: 46:[32, 51] Operation: 74-23=51 Moving to Node #0,2,2 Current State: 46:[23, 42], Operations: ['84-32=52', '52-10=42'] Exploring Operation: 23*42=966, Resulting Numbers: [966] 966,46 unequal: No Solution Exploring Operation: 23+42=65, Resulting Numbers: [65] 65,46 unequal: No Solution Exploring Operation: 42-23=19, Resulting Numbers: [19] 19,46 unequal: No Solution Moving to Node #0,0,0 Current State: 46:[23, 42], Operations: ['84-10=74', '74-32=42'] Exploring Operation: 23+42=65, Resulting Numbers: [65] 65,46 unequal: No Solution Exploring Operation: 23*42=966, Resulting Numbers: [966] 966,46 unequal: No Solution Exploring Operation: 42-23=19, Resulting Numbers: [19] 19,46 unequal: No Solution Moving to Node #0,2,0 Current State: 46:[10, 29], Operations: ['84-32=52', '52-23=29'] Exploring Operation: 10+29=39, Resulting Numbers: [39] 39,46 unequal: No Solution Exploring Operation: 29-10=19, Resulting Numbers: [19] 19,46 unequal: No Solution Exploring Operation: 10*29=290, Resulting Numbers: [290] 290,46 unequal: No Solution Moving to Node #0,1,1 Current State: 46:[10, 29], Operations: ['84-23=61', '61-32=29'] Exploring Operation: 29-10=19, Resulting Numbers: [19] 19,46 unequal: No Solution Exploring Operation: 10*29=290, Resulting Numbers: [290] 290,46 unequal: No Solution Exploring Operation: 10+29=39, Resulting Numbers: [39] 39,46 unequal: No Solution Moving to Node #0,0,2 Current State: 46:[32, 51], Operations: ['84-10=74', '74-23=51'] Exploring Operation: 32*51=1632, Resulting Numbers: [1632] 1632,46 unequal: No Solution Exploring Operation: 51-32=19, Resulting Numbers: [19] 19,46 unequal: No Solution Exploring Operation: 32+51=83, Resulting Numbers: [83] 83,46 unequal: No Solution Moving to Node #0,1,0 Current State: 46:[32, 51], Operations: ['84-23=61', '61-10=51'] Exploring Operation: 32*51=1632, Resulting Numbers: [1632] 1632,46 unequal: No Solution Exploring Operation: 51-32=19, Resulting Numbers: [19] 19,46 unequal: No Solution Exploring Operation: 32+51=83, Resulting Numbers: [83] 83,46 unequal: No Solution Moving to Node #0,2,1 Current State: 46:[52, 33], Operations: ['84-32=52', '10+23=33'] Exploring Operation: 52+33=85, Resulting Numbers: [85] 85,46 unequal: No Solution Exploring Operation: 52-33=19, Resulting Numbers: [19] 19,46 unequal: No Solution Exploring Operation: 52*33=1716, Resulting Numbers: [1716] 1716,46 unequal: No Solution Moving to Node #0,1,2 Current State: 46:[61, 22], Operations: ['84-23=61', '32-10=22'] Exploring Operation: 61-22=39, Resulting Numbers: [39] 39,46 unequal: No Solution Exploring Operation: 61+22=83, Resulting Numbers: [83] 83,46 unequal: No Solution Exploring Operation: 61*22=1342, Resulting Numbers: [1342] 1342,46 unequal: No Solution Moving to Node #0,0,1 Current State: 46:[74, 9], Operations: ['84-10=74', '32-23=9'] Exploring Operation: 74-9=65, Resulting Numbers: [65] 65,46 unequal: No Solution Exploring Operation: 74*9=666, Resulting Numbers: [666] 666,46 unequal: No Solution Exploring Operation: 74+9=83, Resulting Numbers: [83] 83,46 unequal: No Solution No solution found.
0
hs_3
mult_heuristic
[ 71, 14, 2, 39 ]
36
[ "71-14=57", "57-39=18", "2*18=36" ]
Current State: 36:[71, 14, 2, 39], Operations: [] Exploring Operation: 71-14=57, Resulting Numbers: [2, 39, 57] Generated Node #2: [2, 39, 57] from Operation: 71-14=57 Current State: 36:[2, 39, 57], Operations: ['71-14=57'] Exploring Operation: 57-39=18, Resulting Numbers: [2, 18] Generated Node #3: [2, 18] from Operation: 57-39=18 Current State: 36:[2, 18], Operations: ['71-14=57', '57-39=18'] Exploring Operation: 2*18=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
Current State: 36:[71, 14, 2, 39], Operations: [] Exploring Operation: 71-14=57, Resulting Numbers: [2, 39, 57] Generated Node #0,0: 36:[2, 39, 57] Operation: 71-14=57 Exploring Operation: 71-2=69, Resulting Numbers: [14, 39, 69] Generated Node #0,1: 36:[14, 39, 69] Operation: 71-2=69 Exploring Operation: 71-39=32, Resulting Numbers: [14, 2, 32] Generated Node #0,2: 36:[14, 2, 32] Operation: 71-39=32 Moving to Node #0,2 Current State: 36:[14, 2, 32], Operations: ['71-39=32'] Exploring Operation: 2+32=34, Resulting Numbers: [14, 34] Generated Node #0,2,0: 36:[14, 34] Operation: 2+32=34 Exploring Operation: 14-2=12, Resulting Numbers: [32, 12] Generated Node #0,2,1: 36:[32, 12] Operation: 14-2=12 Exploring Operation: 32-14=18, Resulting Numbers: [2, 18] Generated Node #0,2,2: 36:[2, 18] Operation: 32-14=18 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 36:[2, 18], Operations: ['71-39=32', '32-14=18'] Exploring Operation: 2*18=36, Resulting Numbers: [36] 36,36 equal: Goal Reached Moving to Node #0 Current State: 36:[71, 14, 2, 39], Operations: [] Exploring Operation: 71-39=32, Resulting Numbers: [14, 2, 32] Generated Node #0,2: 36:[14, 2, 32] Operation: 71-39=32 Moving to Node #0,2 Current State: 36:[14, 2, 32], Operations: ['71-39=32'] Exploring Operation: 32-14=18, Resulting Numbers: [2, 18] Generated Node #0,2,2: 36:[2, 18] Operation: 32-14=18 Moving to Node #0,2,2 Current State: 36:[2, 18], Operations: ['71-39=32', '32-14=18'] Exploring Operation: 2*18=36, Resulting Numbers: [36] 36,36 equal: Goal Reached Exit Sub Search at level 1
0.990451
hs_3
mult_heuristic
[ 70, 60, 72, 26 ]
45
[ "70+26=96", "60*72=4320", "4320/96=45" ]
Current State: 45:[70, 60, 72, 26], Operations: [] Exploring Operation: 70+26=96, Resulting Numbers: [60, 72, 96] Generated Node #2: [60, 72, 96] from Operation: 70+26=96 Current State: 45:[60, 72, 96], Operations: ['70+26=96'] Exploring Operation: 60*72=4320, Resulting Numbers: [96, 4320] Generated Node #3: [96, 4320] from Operation: 60*72=4320 Current State: 45:[96, 4320], Operations: ['70+26=96', '60*72=4320'] Exploring Operation: 4320/96=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
Current State: 45:[70, 60, 72, 26], Operations: [] Exploring Operation: 70-60=10, Resulting Numbers: [72, 26, 10] Generated Node #0,0: 45:[72, 26, 10] Operation: 70-60=10 Exploring Operation: 72-70=2, Resulting Numbers: [60, 26, 2] Generated Node #0,1: 45:[60, 26, 2] Operation: 72-70=2 Moving to Node #0,1 Current State: 45:[60, 26, 2], Operations: ['72-70=2'] Exploring Operation: 26/2=13, Resulting Numbers: [60, 13] Generated Node #0,1,0: 45:[60, 13] Operation: 26/2=13 Exploring Operation: 60-26=34, Resulting Numbers: [2, 34] Generated Node #0,1,1: 45:[2, 34] Operation: 60-26=34 Moving to Node #0,0 Current State: 45:[72, 26, 10], Operations: ['70-60=10'] Exploring Operation: 72-10=62, Resulting Numbers: [26, 62] Generated Node #0,0,0: 45:[26, 62] Operation: 72-10=62 Exploring Operation: 72-26=46, Resulting Numbers: [10, 46] Generated Node #0,0,1: 45:[10, 46] Operation: 72-26=46 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 45:[10, 46], Operations: ['70-60=10', '72-26=46'] Exploring Operation: 46-10=36, Resulting Numbers: [36] 36,45 unequal: No Solution Exploring Operation: 10+46=56, Resulting Numbers: [56] 56,45 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 45:[26, 62], Operations: ['70-60=10', '72-10=62'] Exploring Operation: 26+62=88, Resulting Numbers: [88] 88,45 unequal: No Solution Exploring Operation: 62-26=36, Resulting Numbers: [36] 36,45 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,1 Current State: 45:[2, 34], Operations: ['72-70=2', '60-26=34'] Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,45 unequal: No Solution Exploring Operation: 2+34=36, Resulting Numbers: [36] 36,45 unequal: No Solution Moving to Node #0,1,0 Current State: 45:[60, 13], Operations: ['72-70=2', '26/2=13'] Exploring Operation: 60-13=47, Resulting Numbers: [47] 47,45 unequal: No Solution Exploring Operation: 60+13=73, Resulting Numbers: [73] 73,45 unequal: No Solution No solution found.
0
hs_2
sum_heuristic
[ 98, 54, 33, 9 ]
68
[ "98-54=44", "33-9=24", "44+24=68" ]
Current State: 68:[98, 54, 33, 9], Operations: [] Exploring Operation: 98-54=44, Resulting Numbers: [33, 9, 44] Generated Node #2: [33, 9, 44] from Operation: 98-54=44 Current State: 68:[33, 9, 44], Operations: ['98-54=44'] Exploring Operation: 33-9=24, Resulting Numbers: [44, 24] Generated Node #3: [44, 24] from Operation: 33-9=24 Current State: 68:[44, 24], Operations: ['98-54=44', '33-9=24'] Exploring Operation: 44+24=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
Current State: 68:[98, 54, 33, 9], Operations: [] Exploring Operation: 98-54=44, Resulting Numbers: [33, 9, 44] Generated Node #0,0: 68:[33, 9, 44] Operation: 98-54=44 Moving to Node #0,0 Current State: 68:[33, 9, 44], Operations: ['98-54=44'] Exploring Operation: 44-9=35, Resulting Numbers: [33, 35] Generated Node #0,0,0: 68:[33, 35] Operation: 44-9=35 Moving to Node #0,0,0 Current State: 68:[33, 35], Operations: ['98-54=44', '44-9=35'] Exploring Operation: 33+35=68, Resulting Numbers: [68] 68,68 equal: Goal Reached Moving to Node #0 Current State: 68:[98, 54, 33, 9], Operations: [] Exploring Operation: 98-54=44, Resulting Numbers: [33, 9, 44] Generated Node #0,0: 68:[33, 9, 44] Operation: 98-54=44 Moving to Node #0,0 Current State: 68:[33, 9, 44], Operations: ['98-54=44'] Exploring Operation: 44-9=35, Resulting Numbers: [33, 35] Generated Node #0,0,0: 68:[33, 35] Operation: 44-9=35 Moving to Node #0,0,0 Current State: 68:[33, 35], Operations: ['98-54=44', '44-9=35'] Exploring Operation: 33+35=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
0.993924
hs_1
mult_heuristic
[ 73, 40, 60, 80 ]
75
[ "40+80=120", "120/60=2", "73+2=75" ]
Current State: 75:[73, 40, 60, 80], Operations: [] Exploring Operation: 40+80=120, Resulting Numbers: [73, 60, 120] Generated Node #2: [73, 60, 120] from Operation: 40+80=120 Current State: 75:[73, 60, 120], Operations: ['40+80=120'] Exploring Operation: 120/60=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 120/60=2 Current State: 75:[73, 2], Operations: ['40+80=120', '120/60=2'] Exploring Operation: 73+2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
Current State: 75:[73, 40, 60, 80], Operations: [] Exploring Operation: 60-40=20, Resulting Numbers: [73, 80, 20] Generated Node #0,0: 75:[73, 80, 20] Operation: 60-40=20 Exploring Operation: 80/40=2, Resulting Numbers: [73, 60, 2] Generated Node #0,1: 75:[73, 60, 2] Operation: 80/40=2 Exploring Operation: 73-60=13, Resulting Numbers: [40, 80, 13] Generated Node #0,2: 75:[40, 80, 13] Operation: 73-60=13 Exploring Operation: 80-60=20, Resulting Numbers: [73, 40, 20] Generated Node #0,3: 75:[73, 40, 20] Operation: 80-60=20 Moving to Node #0,0 Current State: 75:[73, 80, 20], Operations: ['60-40=20'] Exploring Operation: 80/20=4, Resulting Numbers: [73, 4] Generated Node #0,0,0: 75:[73, 4] Operation: 80/20=4 Exploring Operation: 73+20=93, Resulting Numbers: [80, 93] Generated Node #0,0,1: 75:[80, 93] Operation: 73+20=93 Exploring Operation: 80-73=7, Resulting Numbers: [20, 7] Generated Node #0,0,2: 75:[20, 7] Operation: 80-73=7 Exploring Operation: 80-20=60, Resulting Numbers: [73, 60] Generated Node #0,0,3: 75:[73, 60] Operation: 80-20=60 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 75:[73, 4], Operations: ['60-40=20', '80/20=4'] Exploring Operation: 73*4=292, Resulting Numbers: [292] 292,75 unequal: No Solution Exploring Operation: 73-4=69, Resulting Numbers: [69] 69,75 unequal: No Solution Exploring Operation: 73+4=77, Resulting Numbers: [77] 77,75 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:[20, 7], Operations: ['60-40=20', '80-73=7'] Exploring Operation: 20+7=27, Resulting Numbers: [27] 27,75 unequal: No Solution Exploring Operation: 20-7=13, Resulting Numbers: [13] 13,75 unequal: No Solution Exploring Operation: 20*7=140, Resulting Numbers: [140] 140,75 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 #0,0,3 Current State: 75:[73, 60], Operations: ['60-40=20', '80-20=60'] Exploring Operation: 73-60=13, Resulting Numbers: [13] 13,75 unequal: No Solution Exploring Operation: 73*60=4380, Resulting Numbers: [4380] 4380,75 unequal: No Solution Exploring Operation: 73+60=133, Resulting Numbers: [133] 133,75 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:[80, 93], Operations: ['60-40=20', '73+20=93'] Exploring Operation: 93-80=13, Resulting Numbers: [13] 13,75 unequal: No Solution Exploring Operation: 80*93=7440, Resulting Numbers: [7440] 7440,75 unequal: No Solution Exploring Operation: 80+93=173, Resulting Numbers: [173] 173,75 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: 75:[73, 60, 2], Operations: ['80/40=2'] Exploring Operation: 73-60=13, Resulting Numbers: [2, 13] Generated Node #0,1,0: 75:[2, 13] Operation: 73-60=13 Exploring Operation: 60/2=30, Resulting Numbers: [73, 30] Generated Node #0,1,1: 75:[73, 30] Operation: 60/2=30 Exploring Operation: 60+2=62, Resulting Numbers: [73, 62] Generated Node #0,1,2: 75:[73, 62] Operation: 60+2=62 Exploring Operation: 73+2=75, Resulting Numbers: [60, 75] Generated Node #0,1,3: 75:[60, 75] Operation: 73+2=75 Moving to Node #0,3 Current State: 75:[73, 40, 20], Operations: ['80-60=20'] Exploring Operation: 40-20=20, Resulting Numbers: [73, 20] Generated Node #0,3,0: 75:[73, 20] Operation: 40-20=20 Exploring Operation: 73-40=33, Resulting Numbers: [20, 33] Generated Node #0,3,1: 75:[20, 33] Operation: 73-40=33 Exploring Operation: 40+20=60, Resulting Numbers: [73, 60] Generated Node #0,3,2: 75:[73, 60] Operation: 40+20=60 Exploring Operation: 40/20=2, Resulting Numbers: [73, 2] Generated Node #0,3,3: 75:[73, 2] Operation: 40/20=2 Moving to Node #0,2 Current State: 75:[40, 80, 13], Operations: ['73-60=13'] Exploring Operation: 80-13=67, Resulting Numbers: [40, 67] Generated Node #0,2,0: 75:[40, 67] Operation: 80-13=67 Exploring Operation: 40-13=27, Resulting Numbers: [80, 27] Generated Node #0,2,1: 75:[80, 27] Operation: 40-13=27 Exploring Operation: 80/40=2, Resulting Numbers: [13, 2] Generated Node #0,2,2: 75:[13, 2] Operation: 80/40=2 Exploring Operation: 80-40=40, Resulting Numbers: [13, 40] Generated Node #0,2,3: 75:[13, 40] Operation: 80-40=40 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 75:[13, 2], Operations: ['73-60=13', '80/40=2'] Exploring Operation: 13-2=11, Resulting Numbers: [11] 11,75 unequal: No Solution Exploring Operation: 13+2=15, Resulting Numbers: [15] 15,75 unequal: No Solution Exploring Operation: 13*2=26, Resulting Numbers: [26] 26,75 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 #0,2,1 Current State: 75:[80, 27], Operations: ['73-60=13', '40-13=27'] Exploring Operation: 80-27=53, Resulting Numbers: [53] 53,75 unequal: No Solution Exploring Operation: 80+27=107, Resulting Numbers: [107] 107,75 unequal: No Solution Exploring Operation: 80*27=2160, Resulting Numbers: [2160] 2160,75 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 #0,2,3 Current State: 75:[13, 40], Operations: ['73-60=13', '80-40=40'] Exploring Operation: 13*40=520, Resulting Numbers: [520] 520,75 unequal: No Solution Exploring Operation: 13+40=53, Resulting Numbers: [53] 53,75 unequal: No Solution Exploring Operation: 40-13=27, Resulting Numbers: [27] 27,75 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 #0,2,0 Current State: 75:[40, 67], Operations: ['73-60=13', '80-13=67'] Exploring Operation: 67-40=27, Resulting Numbers: [27] 27,75 unequal: No Solution Exploring Operation: 40+67=107, Resulting Numbers: [107] 107,75 unequal: No Solution Exploring Operation: 40*67=2680, Resulting Numbers: [2680] 2680,75 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: 75:[2, 13], Operations: ['80/40=2', '73-60=13'] Exploring Operation: 2*13=26, Resulting Numbers: [26] 26,75 unequal: No Solution Exploring Operation: 13-2=11, Resulting Numbers: [11] 11,75 unequal: No Solution Exploring Operation: 2+13=15, Resulting Numbers: [15] 15,75 unequal: No Solution Moving to Node #0,3,3 Current State: 75:[73, 2], Operations: ['80-60=20', '40/20=2'] Exploring Operation: 73-2=71, Resulting Numbers: [71] 71,75 unequal: No Solution Exploring Operation: 73*2=146, Resulting Numbers: [146] 146,75 unequal: No Solution Exploring Operation: 73+2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached Moving to Node #0 Current State: 75:[73, 40, 60, 80], Operations: [] Exploring Operation: 80-60=20, Resulting Numbers: [73, 40, 20] Generated Node #0,3: 75:[73, 40, 20] Operation: 80-60=20 Moving to Node #0,3 Current State: 75:[73, 40, 20], Operations: ['80-60=20'] Exploring Operation: 40/20=2, Resulting Numbers: [73, 2] Generated Node #0,3,3: 75:[73, 2] Operation: 40/20=2 Moving to Node #0,3,3 Current State: 75:[73, 2], Operations: ['80-60=20', '40/20=2'] Exploring Operation: 73+2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
0.953125
hs_4
sum_heuristic
[ 2, 23, 79, 80 ]
55
[ "2*79=158", "23+80=103", "158-103=55" ]
Current State: 55:[2, 23, 79, 80], Operations: [] Exploring Operation: 2*79=158, Resulting Numbers: [23, 80, 158] Generated Node #2: [23, 80, 158] from Operation: 2*79=158 Current State: 55:[23, 80, 158], Operations: ['2*79=158'] Exploring Operation: 23+80=103, Resulting Numbers: [158, 103] Generated Node #3: [158, 103] from Operation: 23+80=103 Current State: 55:[158, 103], Operations: ['2*79=158', '23+80=103'] Exploring Operation: 158-103=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
Current State: 55:[2, 23, 79, 80], Operations: [] Exploring Operation: 80-79=1, Resulting Numbers: [2, 23, 1] Generated Node #0,0: 55:[2, 23, 1] Operation: 80-79=1 Start Sub Search at level 1: Moving to Node #0,0 Current State: 55:[2, 23, 1], Operations: ['80-79=1'] Exploring Operation: 2*23=46, Resulting Numbers: [1, 46] Generated Node #0,0,0: 55:[1, 46] Operation: 2*23=46 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 55:[1, 46], Operations: ['80-79=1', '2*23=46'] Exploring Operation: 1+46=47, Resulting Numbers: [47] 47,55 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
mult_heuristic
[ 87, 39, 85, 11 ]
25
[ "87-85=2", "39+11=50", "50/2=25" ]
Current State: 25:[87, 39, 85, 11], Operations: [] Exploring Operation: 87-85=2, Resulting Numbers: [39, 11, 2] Generated Node #2: [39, 11, 2] from Operation: 87-85=2 Current State: 25:[39, 11, 2], Operations: ['87-85=2'] Exploring Operation: 39+11=50, Resulting Numbers: [2, 50] Generated Node #3: [2, 50] from Operation: 39+11=50 Current State: 25:[2, 50], Operations: ['87-85=2', '39+11=50'] Exploring Operation: 50/2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
Current State: 25:[87, 39, 85, 11], Operations: [] Exploring Operation: 87-85=2, Resulting Numbers: [39, 11, 2] Generated Node #0,0: 25:[39, 11, 2] Operation: 87-85=2 Moving to Node #0,0 Current State: 25:[39, 11, 2], Operations: ['87-85=2'] Exploring Operation: 39-11=28, Resulting Numbers: [2, 28] Generated Node #0,0,0: 25:[2, 28] Operation: 39-11=28 Moving to Node #0,0,0 Current State: 25:[2, 28], Operations: ['87-85=2', '39-11=28'] Exploring Operation: 28-2=26, Resulting Numbers: [26] 26,25 unequal: No Solution No solution found.
0
hs_1
mult_heuristic
[ 95, 71, 18, 51 ]
57
[ "95-71=24", "51-18=33", "24+33=57" ]
Current State: 57:[95, 71, 18, 51], Operations: [] Exploring Operation: 95-71=24, Resulting Numbers: [18, 51, 24] Generated Node #2: [18, 51, 24] from Operation: 95-71=24 Current State: 57:[18, 51, 24], Operations: ['95-71=24'] Exploring Operation: 51-18=33, Resulting Numbers: [24, 33] Generated Node #3: [24, 33] from Operation: 51-18=33 Current State: 57:[24, 33], Operations: ['95-71=24', '51-18=33'] Exploring Operation: 24+33=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
Current State: 57:[95, 71, 18, 51], Operations: [] Exploring Operation: 71-51=20, Resulting Numbers: [95, 18, 20] Generated Node #0,0: 57:[95, 18, 20] Operation: 71-51=20 Exploring Operation: 95-71=24, Resulting Numbers: [18, 51, 24] Generated Node #0,1: 57:[18, 51, 24] Operation: 95-71=24 Exploring Operation: 95-18=77, Resulting Numbers: [71, 51, 77] Generated Node #0,2: 57:[71, 51, 77] Operation: 95-18=77 Exploring Operation: 95-51=44, Resulting Numbers: [71, 18, 44] Generated Node #0,3: 57:[71, 18, 44] Operation: 95-51=44 Start Sub Search at level 1: Moving to Node #0,1 Current State: 57:[18, 51, 24], Operations: ['95-71=24'] Exploring Operation: 18+51=69, Resulting Numbers: [24, 69] Generated Node #0,1,0: 57:[24, 69] Operation: 18+51=69 Exploring Operation: 51-24=27, Resulting Numbers: [18, 27] Generated Node #0,1,1: 57:[18, 27] Operation: 51-24=27 Exploring Operation: 24-18=6, Resulting Numbers: [51, 6] Generated Node #0,1,2: 57:[51, 6] Operation: 24-18=6 Exploring Operation: 51-18=33, Resulting Numbers: [24, 33] Generated Node #0,1,3: 57:[24, 33] Operation: 51-18=33 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 57:[18, 27], Operations: ['95-71=24', '51-24=27'] Exploring Operation: 27-18=9, Resulting Numbers: [9] 9,57 unequal: No Solution Exploring Operation: 18*27=486, Resulting Numbers: [486] 486,57 unequal: No Solution Exploring Operation: 18+27=45, Resulting Numbers: [45] 45,57 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: 57:[51, 6], Operations: ['95-71=24', '24-18=6'] Exploring Operation: 51-6=45, Resulting Numbers: [45] 45,57 unequal: No Solution Exploring Operation: 51*6=306, Resulting Numbers: [306] 306,57 unequal: No Solution Exploring Operation: 51+6=57, Resulting Numbers: [57] 57,57 equal: Goal Reached Moving to Node #0 Current State: 57:[95, 71, 18, 51], Operations: [] Exploring Operation: 95-71=24, Resulting Numbers: [18, 51, 24] Generated Node #0,1: 57:[18, 51, 24] Operation: 95-71=24 Moving to Node #0,1 Current State: 57:[18, 51, 24], Operations: ['95-71=24'] Exploring Operation: 24-18=6, Resulting Numbers: [51, 6] Generated Node #0,1,2: 57:[51, 6] Operation: 24-18=6 Moving to Node #0,1,2 Current State: 57:[51, 6], Operations: ['95-71=24', '24-18=6'] Exploring Operation: 51+6=57, Resulting Numbers: [57] 57,57 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.984375
hs_4
mult_heuristic
[ 73, 87, 66, 70 ]
97
[ "73-66=7", "70/7=10", "87+10=97" ]
Current State: 97:[73, 87, 66, 70], Operations: [] Exploring Operation: 73-66=7, Resulting Numbers: [87, 70, 7] Generated Node #2: [87, 70, 7] from Operation: 73-66=7 Current State: 97:[87, 70, 7], Operations: ['73-66=7'] Exploring Operation: 70/7=10, Resulting Numbers: [87, 10] Generated Node #3: [87, 10] from Operation: 70/7=10 Current State: 97:[87, 10], Operations: ['73-66=7', '70/7=10'] Exploring Operation: 87+10=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
Current State: 97:[73, 87, 66, 70], Operations: [] Exploring Operation: 66+70=136, Resulting Numbers: [73, 87, 136] Generated Node #0,0: 97:[73, 87, 136] Operation: 66+70=136 Exploring Operation: 73+70=143, Resulting Numbers: [87, 66, 143] Generated Node #0,1: 97:[87, 66, 143] Operation: 73+70=143 Exploring Operation: 87+66=153, Resulting Numbers: [73, 70, 153] Generated Node #0,2: 97:[73, 70, 153] Operation: 87+66=153 Exploring Operation: 73+66=139, Resulting Numbers: [87, 70, 139] Generated Node #0,3: 97:[87, 70, 139] Operation: 73+66=139 Start Sub Search at level 1: Moving to Node #0,0 Current State: 97:[73, 87, 136], Operations: ['66+70=136'] Exploring Operation: 73+87=160, Resulting Numbers: [136, 160] Generated Node #0,0,0: 97:[136, 160] Operation: 73+87=160 Exploring Operation: 87-73=14, Resulting Numbers: [136, 14] Generated Node #0,0,1: 97:[136, 14] Operation: 87-73=14 Exploring Operation: 136-87=49, Resulting Numbers: [73, 49] Generated Node #0,0,2: 97:[73, 49] Operation: 136-87=49 Exploring Operation: 136-73=63, Resulting Numbers: [87, 63] Generated Node #0,0,3: 97:[87, 63] Operation: 136-73=63 Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 97:[87, 63], Operations: ['66+70=136', '136-73=63'] Exploring Operation: 87+63=150, Resulting Numbers: [150] 150,97 unequal: No Solution Exploring Operation: 87*63=5481, Resulting Numbers: [5481] 5481,97 unequal: No Solution Exploring Operation: 87-63=24, Resulting Numbers: [24] 24,97 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 97:[73, 49], Operations: ['66+70=136', '136-87=49'] Exploring Operation: 73*49=3577, Resulting Numbers: [3577] 3577,97 unequal: No Solution Exploring Operation: 73-49=24, Resulting Numbers: [24] 24,97 unequal: No Solution Exploring Operation: 73+49=122, Resulting Numbers: [122] 122,97 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 97:[136, 160], Operations: ['66+70=136', '73+87=160'] Exploring Operation: 160-136=24, Resulting Numbers: [24] 24,97 unequal: No Solution Exploring Operation: 136+160=296, Resulting Numbers: [296] 296,97 unequal: No Solution Exploring Operation: 136*160=21760, Resulting Numbers: [21760] 21760,97 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 97:[136, 14], Operations: ['66+70=136', '87-73=14'] Exploring Operation: 136+14=150, Resulting Numbers: [150] 150,97 unequal: No Solution Exploring Operation: 136-14=122, Resulting Numbers: [122] 122,97 unequal: No Solution Exploring Operation: 136*14=1904, Resulting Numbers: [1904] 1904,97 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 97:[87, 70, 139], Operations: ['73+66=139'] Exploring Operation: 139-70=69, Resulting Numbers: [87, 69] Generated Node #0,3,0: 97:[87, 69] Operation: 139-70=69 Exploring Operation: 139-87=52, Resulting Numbers: [70, 52] Generated Node #0,3,1: 97:[70, 52] Operation: 139-87=52 Exploring Operation: 87+70=157, Resulting Numbers: [139, 157] Generated Node #0,3,2: 97:[139, 157] Operation: 87+70=157 Exploring Operation: 87-70=17, Resulting Numbers: [139, 17] Generated Node #0,3,3: 97:[139, 17] Operation: 87-70=17 Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 97:[87, 69], Operations: ['73+66=139', '139-70=69'] Exploring Operation: 87-69=18, Resulting Numbers: [18] 18,97 unequal: No Solution Exploring Operation: 87*69=6003, Resulting Numbers: [6003] 6003,97 unequal: No Solution Exploring Operation: 87+69=156, Resulting Numbers: [156] 156,97 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 97:[70, 52], Operations: ['73+66=139', '139-87=52'] Exploring Operation: 70-52=18, Resulting Numbers: [18] 18,97 unequal: No Solution Exploring Operation: 70*52=3640, Resulting Numbers: [3640] 3640,97 unequal: No Solution Exploring Operation: 70+52=122, Resulting Numbers: [122] 122,97 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 97:[139, 157], Operations: ['73+66=139', '87+70=157'] Exploring Operation: 157-139=18, Resulting Numbers: [18] 18,97 unequal: No Solution Exploring Operation: 139+157=296, Resulting Numbers: [296] 296,97 unequal: No Solution Exploring Operation: 139*157=21823, Resulting Numbers: [21823] 21823,97 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 97:[139, 17], Operations: ['73+66=139', '87-70=17'] Exploring Operation: 139-17=122, Resulting Numbers: [122] 122,97 unequal: No Solution Exploring Operation: 139*17=2363, Resulting Numbers: [2363] 2363,97 unequal: No Solution Exploring Operation: 139+17=156, Resulting Numbers: [156] 156,97 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 97:[87, 66, 143], Operations: ['73+70=143'] Exploring Operation: 143-87=56, Resulting Numbers: [66, 56] Generated Node #0,1,0: 97:[66, 56] Operation: 143-87=56 Exploring Operation: 143-66=77, Resulting Numbers: [87, 77] Generated Node #0,1,1: 97:[87, 77] Operation: 143-66=77 Exploring Operation: 87+66=153, Resulting Numbers: [143, 153] Generated Node #0,1,2: 97:[143, 153] Operation: 87+66=153 Exploring Operation: 87-66=21, Resulting Numbers: [143, 21] Generated Node #0,1,3: 97:[143, 21] Operation: 87-66=21 Moving to Node #0,1,1 Current State: 97:[87, 77], Operations: ['73+70=143', '143-66=77'] Exploring Operation: 87-77=10, Resulting Numbers: [10] 10,97 unequal: No Solution Exploring Operation: 87*77=6699, Resulting Numbers: [6699] 6699,97 unequal: No Solution Exploring Operation: 87+77=164, Resulting Numbers: [164] 164,97 unequal: No Solution Moving to Node #0,1,0 Current State: 97:[66, 56], Operations: ['73+70=143', '143-87=56'] Exploring Operation: 66*56=3696, Resulting Numbers: [3696] 3696,97 unequal: No Solution Exploring Operation: 66+56=122, Resulting Numbers: [122] 122,97 unequal: No Solution Exploring Operation: 66-56=10, Resulting Numbers: [10] 10,97 unequal: No Solution Moving to Node #0,1,2 Current State: 97:[143, 153], Operations: ['73+70=143', '87+66=153'] Exploring Operation: 153-143=10, Resulting Numbers: [10] 10,97 unequal: No Solution Exploring Operation: 143+153=296, Resulting Numbers: [296] 296,97 unequal: No Solution Exploring Operation: 143*153=21879, Resulting Numbers: [21879] 21879,97 unequal: No Solution Moving to Node #0,1,3 Current State: 97:[143, 21], Operations: ['73+70=143', '87-66=21'] Exploring Operation: 143+21=164, Resulting Numbers: [164] 164,97 unequal: No Solution Exploring Operation: 143-21=122, Resulting Numbers: [122] 122,97 unequal: No Solution Exploring Operation: 143*21=3003, Resulting Numbers: [3003] 3003,97 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 #0,2 Current State: 97:[73, 70, 153], Operations: ['87+66=153'] Exploring Operation: 73-70=3, Resulting Numbers: [153, 3] Generated Node #0,2,0: 97:[153, 3] Operation: 73-70=3 Exploring Operation: 153-70=83, Resulting Numbers: [73, 83] Generated Node #0,2,1: 97:[73, 83] Operation: 153-70=83 Exploring Operation: 73+70=143, Resulting Numbers: [153, 143] Generated Node #0,2,2: 97:[153, 143] Operation: 73+70=143 Exploring Operation: 153-73=80, Resulting Numbers: [70, 80] Generated Node #0,2,3: 97:[70, 80] Operation: 153-73=80 Moving to Node #0,2,1 Current State: 97:[73, 83], Operations: ['87+66=153', '153-70=83'] Exploring Operation: 73+83=156, Resulting Numbers: [156] 156,97 unequal: No Solution Exploring Operation: 83-73=10, Resulting Numbers: [10] 10,97 unequal: No Solution Exploring Operation: 73*83=6059, Resulting Numbers: [6059] 6059,97 unequal: No Solution Moving to Node #0,2,3 Current State: 97:[70, 80], Operations: ['87+66=153', '153-73=80'] Exploring Operation: 70*80=5600, Resulting Numbers: [5600] 5600,97 unequal: No Solution Exploring Operation: 80-70=10, Resulting Numbers: [10] 10,97 unequal: No Solution Exploring Operation: 70+80=150, Resulting Numbers: [150] 150,97 unequal: No Solution Moving to Node #0,2,2 Current State: 97:[153, 143], Operations: ['87+66=153', '73+70=143'] Exploring Operation: 153*143=21879, Resulting Numbers: [21879] 21879,97 unequal: No Solution Exploring Operation: 153-143=10, Resulting Numbers: [10] 10,97 unequal: No Solution Exploring Operation: 153+143=296, Resulting Numbers: [296] 296,97 unequal: No Solution Moving to Node #0,2,0 Current State: 97:[153, 3], Operations: ['87+66=153', '73-70=3'] Exploring Operation: 153*3=459, Resulting Numbers: [459] 459,97 unequal: No Solution Exploring Operation: 153/3=51, Resulting Numbers: [51] 51,97 unequal: No Solution Exploring Operation: 153-3=150, Resulting Numbers: [150] 150,97 unequal: No Solution Exploring Operation: 153+3=156, Resulting Numbers: [156] 156,97 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
sum_heuristic
[ 26, 2, 99, 20 ]
51
[ "26+2=28", "99-20=79", "79-28=51" ]
Current State: 51:[26, 2, 99, 20], Operations: [] Exploring Operation: 26+2=28, Resulting Numbers: [99, 20, 28] Generated Node #2: [99, 20, 28] from Operation: 26+2=28 Current State: 51:[99, 20, 28], Operations: ['26+2=28'] Exploring Operation: 99-20=79, Resulting Numbers: [28, 79] Generated Node #3: [28, 79] from Operation: 99-20=79 Current State: 51:[28, 79], Operations: ['26+2=28', '99-20=79'] Exploring Operation: 79-28=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
Current State: 51:[26, 2, 99, 20], Operations: [] Exploring Operation: 99-26=73, Resulting Numbers: [2, 20, 73] Generated Node #0,0: 51:[2, 20, 73] Operation: 99-26=73 Exploring Operation: 26-20=6, Resulting Numbers: [2, 99, 6] Generated Node #0,1: 51:[2, 99, 6] Operation: 26-20=6 Exploring Operation: 26*2=52, Resulting Numbers: [99, 20, 52] Generated Node #0,2: 51:[99, 20, 52] Operation: 26*2=52 Exploring Operation: 99-20=79, Resulting Numbers: [26, 2, 79] Generated Node #0,3: 51:[26, 2, 79] Operation: 99-20=79 Start Sub Search at level 1: Moving to Node #0,0 Current State: 51:[2, 20, 73], Operations: ['99-26=73'] Exploring Operation: 73-20=53, Resulting Numbers: [2, 53] Generated Node #0,0,0: 51:[2, 53] Operation: 73-20=53 Exploring Operation: 73-2=71, Resulting Numbers: [20, 71] Generated Node #0,0,1: 51:[20, 71] Operation: 73-2=71 Exploring Operation: 2+20=22, Resulting Numbers: [73, 22] Generated Node #0,0,2: 51:[73, 22] Operation: 2+20=22 Exploring Operation: 20-2=18, Resulting Numbers: [73, 18] Generated Node #0,0,3: 51:[73, 18] Operation: 20-2=18 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 51:[2, 53], Operations: ['99-26=73', '73-20=53'] Exploring Operation: 2*53=106, Resulting Numbers: [106] 106,51 unequal: No Solution Exploring Operation: 53-2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached Moving to Node #0 Current State: 51:[26, 2, 99, 20], Operations: [] Exploring Operation: 99-26=73, Resulting Numbers: [2, 20, 73] Generated Node #0,0: 51:[2, 20, 73] Operation: 99-26=73 Moving to Node #0,0 Current State: 51:[2, 20, 73], Operations: ['99-26=73'] Exploring Operation: 73-20=53, Resulting Numbers: [2, 53] Generated Node #0,0,0: 51:[2, 53] Operation: 73-20=53 Moving to Node #0,0,0 Current State: 51:[2, 53], Operations: ['99-26=73', '73-20=53'] Exploring Operation: 53-2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.987847
hs_4
sum_heuristic
[ 57, 2, 20, 7 ]
69
[ "20-2=18", "7*18=126", "126-57=69" ]
Current State: 69:[57, 2, 20, 7], Operations: [] Exploring Operation: 20-2=18, Resulting Numbers: [57, 7, 18] Generated Node #2: [57, 7, 18] from Operation: 20-2=18 Current State: 69:[57, 7, 18], Operations: ['20-2=18'] Exploring Operation: 7*18=126, Resulting Numbers: [57, 126] Generated Node #3: [57, 126] from Operation: 7*18=126 Current State: 69:[57, 126], Operations: ['20-2=18', '7*18=126'] Exploring Operation: 126-57=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
Current State: 69:[57, 2, 20, 7], Operations: [] Exploring Operation: 57+7=64, Resulting Numbers: [2, 20, 64] Generated Node #0,0: 69:[2, 20, 64] Operation: 57+7=64 Start Sub Search at level 1: Moving to Node #0,0 Current State: 69:[2, 20, 64], Operations: ['57+7=64'] Exploring Operation: 2+20=22, Resulting Numbers: [64, 22] Generated Node #0,0,0: 69:[64, 22] Operation: 2+20=22 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 69:[64, 22], Operations: ['57+7=64', '2+20=22'] Exploring Operation: 64+22=86, Resulting Numbers: [86] 86,69 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 64, 48, 23, 41 ]
24
[ "41-23=18", "64*18=1152", "1152/48=24" ]
Current State: 24:[64, 48, 23, 41], Operations: [] Exploring Operation: 41-23=18, Resulting Numbers: [64, 48, 18] Generated Node #2: [64, 48, 18] from Operation: 41-23=18 Current State: 24:[64, 48, 18], Operations: ['41-23=18'] Exploring Operation: 64*18=1152, Resulting Numbers: [48, 1152] Generated Node #3: [48, 1152] from Operation: 64*18=1152 Current State: 24:[48, 1152], Operations: ['41-23=18', '64*18=1152'] Exploring Operation: 1152/48=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
Current State: 24:[64, 48, 23, 41], Operations: [] Exploring Operation: 48-41=7, Resulting Numbers: [64, 23, 7] Generated Node #0,0: 24:[64, 23, 7] Operation: 48-41=7 Exploring Operation: 64-23=41, Resulting Numbers: [48, 41, 41] Generated Node #0,1: 24:[48, 41, 41] Operation: 64-23=41 Exploring Operation: 64-48=16, Resulting Numbers: [23, 41, 16] Generated Node #0,2: 24:[23, 41, 16] Operation: 64-48=16 Exploring Operation: 64-41=23, Resulting Numbers: [48, 23, 23] Generated Node #0,3: 24:[48, 23, 23] Operation: 64-41=23 Moving to Node #0,2 Current State: 24:[23, 41, 16], Operations: ['64-48=16'] Exploring Operation: 41-23=18, Resulting Numbers: [16, 18] Generated Node #0,2,0: 24:[16, 18] Operation: 41-23=18 Exploring Operation: 41-16=25, Resulting Numbers: [23, 25] Generated Node #0,2,1: 24:[23, 25] Operation: 41-16=25 Exploring Operation: 23-16=7, Resulting Numbers: [41, 7] Generated Node #0,2,2: 24:[41, 7] Operation: 23-16=7 Exploring Operation: 23+16=39, Resulting Numbers: [41, 39] Generated Node #0,2,3: 24:[41, 39] Operation: 23+16=39 Moving to Node #0,3 Current State: 24:[48, 23, 23], Operations: ['64-41=23'] Exploring Operation: 48-23=25, Resulting Numbers: [23, 25] Generated Node #0,3,0: 24:[23, 25] Operation: 48-23=25 Exploring Operation: 23/23=1, Resulting Numbers: [48, 1] Generated Node #0,3,1: 24:[48, 1] Operation: 23/23=1 Exploring Operation: 48-23=25, Resulting Numbers: [23, 25] Generated Node #0,3,2: 24:[23, 25] Operation: 48-23=25 Exploring Operation: 23-23=0, Resulting Numbers: [48, 0] Generated Node #0,3,3: 24:[48, 0] Operation: 23-23=0 Moving to Node #0,0 Current State: 24:[64, 23, 7], Operations: ['48-41=7'] Exploring Operation: 64-7=57, Resulting Numbers: [23, 57] Generated Node #0,0,0: 24:[23, 57] Operation: 64-7=57 Exploring Operation: 64-23=41, Resulting Numbers: [7, 41] Generated Node #0,0,1: 24:[7, 41] Operation: 64-23=41 Exploring Operation: 23-7=16, Resulting Numbers: [64, 16] Generated Node #0,0,2: 24:[64, 16] Operation: 23-7=16 Exploring Operation: 23+7=30, Resulting Numbers: [64, 30] Generated Node #0,0,3: 24:[64, 30] Operation: 23+7=30 Moving to Node #0,1 Current State: 24:[48, 41, 41], Operations: ['64-23=41'] Exploring Operation: 48-41=7, Resulting Numbers: [41, 7] Generated Node #0,1,0: 24:[41, 7] Operation: 48-41=7 Exploring Operation: 41-41=0, Resulting Numbers: [48, 0] Generated Node #0,1,1: 24:[48, 0] Operation: 41-41=0 Exploring Operation: 41/41=1, Resulting Numbers: [48, 1] Generated Node #0,1,2: 24:[48, 1] Operation: 41/41=1 Exploring Operation: 48-41=7, Resulting Numbers: [41, 7] Generated Node #0,1,3: 24:[41, 7] Operation: 48-41=7 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 24:[41, 7], Operations: ['64-23=41', '48-41=7'] Exploring Operation: 41*7=287, Resulting Numbers: [287] 287,24 unequal: No Solution Exploring Operation: 41-7=34, Resulting Numbers: [34] 34,24 unequal: No Solution Exploring Operation: 41+7=48, Resulting Numbers: [48] 48,24 unequal: No Solution No 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: 24:[41, 7], Operations: ['64-23=41', '48-41=7'] Exploring Operation: 41*7=287, Resulting Numbers: [287] 287,24 unequal: No Solution Exploring Operation: 41+7=48, Resulting Numbers: [48] 48,24 unequal: No Solution Exploring Operation: 41-7=34, Resulting Numbers: [34] 34,24 unequal: No Solution No 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: 24:[48, 1], Operations: ['64-23=41', '41/41=1'] Exploring Operation: 48/1=48, Resulting Numbers: [48] 48,24 unequal: No Solution Exploring Operation: 48+1=49, Resulting Numbers: [49] 49,24 unequal: No Solution Exploring Operation: 48-1=47, Resulting Numbers: [47] 47,24 unequal: No Solution Exploring Operation: 48*1=48, Resulting Numbers: [48] 48,24 unequal: No Solution No 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: 24:[48, 0], Operations: ['64-23=41', '41-41=0'] Exploring Operation: 48*0=0, Resulting Numbers: [0] 0,24 unequal: No Solution Exploring Operation: 48+0=48, Resulting Numbers: [48] 48,24 unequal: No Solution Exploring Operation: 48-0=48, Resulting Numbers: [48] 48,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2,1 Current State: 24:[23, 25], Operations: ['64-48=16', '41-16=25'] Exploring Operation: 25-23=2, Resulting Numbers: [2] 2,24 unequal: No Solution Exploring Operation: 23+25=48, Resulting Numbers: [48] 48,24 unequal: No Solution Exploring Operation: 23*25=575, Resulting Numbers: [575] 575,24 unequal: No Solution Moving to Node #0,3,2 Current State: 24:[23, 25], Operations: ['64-41=23', '48-23=25'] Exploring Operation: 23*25=575, Resulting Numbers: [575] 575,24 unequal: No Solution Exploring Operation: 25-23=2, Resulting Numbers: [2] 2,24 unequal: No Solution Exploring Operation: 23+25=48, Resulting Numbers: [48] 48,24 unequal: No Solution Moving to Node #0,3,0 Current State: 24:[23, 25], Operations: ['64-41=23', '48-23=25'] Exploring Operation: 23+25=48, Resulting Numbers: [48] 48,24 unequal: No Solution Exploring Operation: 25-23=2, Resulting Numbers: [2] 2,24 unequal: No Solution Exploring Operation: 23*25=575, Resulting Numbers: [575] 575,24 unequal: No Solution Moving to Node #0,2,0 Current State: 24:[16, 18], Operations: ['64-48=16', '41-23=18'] Exploring Operation: 16+18=34, Resulting Numbers: [34] 34,24 unequal: No Solution Exploring Operation: 18-16=2, Resulting Numbers: [2] 2,24 unequal: No Solution Exploring Operation: 16*18=288, Resulting Numbers: [288] 288,24 unequal: No Solution Moving to Node #0,2,2 Current State: 24:[41, 7], Operations: ['64-48=16', '23-16=7'] Exploring Operation: 41+7=48, Resulting Numbers: [48] 48,24 unequal: No Solution Exploring Operation: 41-7=34, Resulting Numbers: [34] 34,24 unequal: No Solution Exploring Operation: 41*7=287, Resulting Numbers: [287] 287,24 unequal: No Solution Moving to Node #0,0,1 Current State: 24:[7, 41], Operations: ['48-41=7', '64-23=41'] Exploring Operation: 41-7=34, Resulting Numbers: [34] 34,24 unequal: No Solution Exploring Operation: 7+41=48, Resulting Numbers: [48] 48,24 unequal: No Solution Exploring Operation: 7*41=287, Resulting Numbers: [287] 287,24 unequal: No Solution Moving to Node #0,3,1 Current State: 24:[48, 1], Operations: ['64-41=23', '23/23=1'] Exploring Operation: 48-1=47, Resulting Numbers: [47] 47,24 unequal: No Solution Exploring Operation: 48*1=48, Resulting Numbers: [48] 48,24 unequal: No Solution Exploring Operation: 48/1=48, Resulting Numbers: [48] 48,24 unequal: No Solution Exploring Operation: 48+1=49, Resulting Numbers: [49] 49,24 unequal: No Solution Moving to Node #0,3,3 Current State: 24:[48, 0], Operations: ['64-41=23', '23-23=0'] Exploring Operation: 48*0=0, Resulting Numbers: [0] 0,24 unequal: No Solution Exploring Operation: 48+0=48, Resulting Numbers: [48] 48,24 unequal: No Solution Exploring Operation: 48-0=48, Resulting Numbers: [48] 48,24 unequal: No Solution Moving to Node #0,2,3 Current State: 24:[41, 39], Operations: ['64-48=16', '23+16=39'] Exploring Operation: 41+39=80, Resulting Numbers: [80] 80,24 unequal: No Solution Exploring Operation: 41*39=1599, Resulting Numbers: [1599] 1599,24 unequal: No Solution Exploring Operation: 41-39=2, Resulting Numbers: [2] 2,24 unequal: No Solution Moving to Node #0,0,0 Current State: 24:[23, 57], Operations: ['48-41=7', '64-7=57'] Exploring Operation: 23+57=80, Resulting Numbers: [80] 80,24 unequal: No Solution Exploring Operation: 57-23=34, Resulting Numbers: [34] 34,24 unequal: No Solution Exploring Operation: 23*57=1311, Resulting Numbers: [1311] 1311,24 unequal: No Solution Moving to Node #0,0,2 Current State: 24:[64, 16], Operations: ['48-41=7', '23-7=16'] Exploring Operation: 64/16=4, Resulting Numbers: [4] 4,24 unequal: No Solution Exploring Operation: 64-16=48, Resulting Numbers: [48] 48,24 unequal: No Solution Exploring Operation: 64*16=1024, Resulting Numbers: [1024] 1024,24 unequal: No Solution Exploring Operation: 64+16=80, Resulting Numbers: [80] 80,24 unequal: No Solution Moving to Node #0,0,3 Current State: 24:[64, 30], Operations: ['48-41=7', '23+7=30'] Exploring Operation: 64+30=94, Resulting Numbers: [94] 94,24 unequal: No Solution Exploring Operation: 64*30=1920, Resulting Numbers: [1920] 1920,24 unequal: No Solution Exploring Operation: 64-30=34, Resulting Numbers: [34] 34,24 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 60, 35, 91, 2 ]
64
[ "60-35=25", "91-2=89", "89-25=64" ]
Current State: 64:[60, 35, 91, 2], Operations: [] Exploring Operation: 60-35=25, Resulting Numbers: [91, 2, 25] Generated Node #2: [91, 2, 25] from Operation: 60-35=25 Current State: 64:[91, 2, 25], Operations: ['60-35=25'] Exploring Operation: 91-2=89, Resulting Numbers: [25, 89] Generated Node #3: [25, 89] from Operation: 91-2=89 Current State: 64:[25, 89], Operations: ['60-35=25', '91-2=89'] Exploring Operation: 89-25=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
Current State: 64:[60, 35, 91, 2], Operations: [] Exploring Operation: 91-60=31, Resulting Numbers: [35, 2, 31] Generated Node #0,0: 64:[35, 2, 31] Operation: 91-60=31 Start Sub Search at level 1: Moving to Node #0,0 Current State: 64:[35, 2, 31], Operations: ['91-60=31'] Exploring Operation: 35-31=4, Resulting Numbers: [2, 4] Generated Node #0,0,0: 64:[2, 4] Operation: 35-31=4 Moving to Node #0,0,0 Current State: 64:[2, 4], Operations: ['91-60=31', '35-31=4'] Exploring Operation: 2*4=8, Resulting Numbers: [8] 8,64 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
[ 72, 27, 3, 56 ]
69
[ "72+27=99", "3*56=168", "168-99=69" ]
Current State: 69:[72, 27, 3, 56], Operations: [] Exploring Operation: 72+27=99, Resulting Numbers: [3, 56, 99] Generated Node #2: [3, 56, 99] from Operation: 72+27=99 Current State: 69:[3, 56, 99], Operations: ['72+27=99'] Exploring Operation: 3*56=168, Resulting Numbers: [99, 168] Generated Node #3: [99, 168] from Operation: 3*56=168 Current State: 69:[99, 168], Operations: ['72+27=99', '3*56=168'] Exploring Operation: 168-99=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
Current State: 69:[72, 27, 3, 56], Operations: [] Exploring Operation: 72-56=16, Resulting Numbers: [27, 3, 16] Generated Node #0,0: 69:[27, 3, 16] Operation: 72-56=16 Exploring Operation: 72-3=69, Resulting Numbers: [27, 56, 69] Generated Node #0,1: 69:[27, 56, 69] Operation: 72-3=69 Exploring Operation: 56-27=29, Resulting Numbers: [72, 3, 29] Generated Node #0,2: 69:[72, 3, 29] Operation: 56-27=29 Moving to Node #0,2 Current State: 69:[72, 3, 29], Operations: ['56-27=29'] Exploring Operation: 72/3=24, Resulting Numbers: [29, 24] Generated Node #0,2,0: 69:[29, 24] Operation: 72/3=24 Exploring Operation: 29-3=26, Resulting Numbers: [72, 26] Generated Node #0,2,1: 69:[72, 26] Operation: 29-3=26 Exploring Operation: 72-3=69, Resulting Numbers: [29, 69] Generated Node #0,2,2: 69:[29, 69] Operation: 72-3=69 Moving to Node #0,0 Current State: 69:[27, 3, 16], Operations: ['72-56=16'] Exploring Operation: 27-3=24, Resulting Numbers: [16, 24] Generated Node #0,0,0: 69:[16, 24] Operation: 27-3=24 Exploring Operation: 27-16=11, Resulting Numbers: [3, 11] Generated Node #0,0,1: 69:[3, 11] Operation: 27-16=11 Exploring Operation: 3+16=19, Resulting Numbers: [27, 19] Generated Node #0,0,2: 69:[27, 19] Operation: 3+16=19 Moving to Node #0,1 Current State: 69:[27, 56, 69], Operations: ['72-3=69'] Exploring Operation: 56-27=29, Resulting Numbers: [69, 29] Generated Node #0,1,0: 69:[69, 29] Operation: 56-27=29 Exploring Operation: 27+56=83, Resulting Numbers: [69, 83] Generated Node #0,1,1: 69:[69, 83] Operation: 27+56=83 Exploring Operation: 69-56=13, Resulting Numbers: [27, 13] Generated Node #0,1,2: 69:[27, 13] Operation: 69-56=13 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 69:[69, 29], Operations: ['72-3=69', '56-27=29'] Exploring Operation: 69+29=98, Resulting Numbers: [98] 98,69 unequal: No Solution Exploring Operation: 69-29=40, Resulting Numbers: [40] 40,69 unequal: No Solution Exploring Operation: 69*29=2001, Resulting Numbers: [2001] 2001,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 69:[69, 83], Operations: ['72-3=69', '27+56=83'] Exploring Operation: 69*83=5727, Resulting Numbers: [5727] 5727,69 unequal: No Solution Exploring Operation: 83-69=14, Resulting Numbers: [14] 14,69 unequal: No Solution Exploring Operation: 69+83=152, Resulting Numbers: [152] 152,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 69:[27, 13], Operations: ['72-3=69', '69-56=13'] Exploring Operation: 27-13=14, Resulting Numbers: [14] 14,69 unequal: No Solution Exploring Operation: 27*13=351, Resulting Numbers: [351] 351,69 unequal: No Solution Exploring Operation: 27+13=40, Resulting Numbers: [40] 40,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2,1 Current State: 69:[72, 26], Operations: ['56-27=29', '29-3=26'] Exploring Operation: 72+26=98, Resulting Numbers: [98] 98,69 unequal: No Solution Exploring Operation: 72*26=1872, Resulting Numbers: [1872] 1872,69 unequal: No Solution Exploring Operation: 72-26=46, Resulting Numbers: [46] 46,69 unequal: No Solution Moving to Node #0,2,2 Current State: 69:[29, 69], Operations: ['56-27=29', '72-3=69'] Exploring Operation: 69-29=40, Resulting Numbers: [40] 40,69 unequal: No Solution Exploring Operation: 29*69=2001, Resulting Numbers: [2001] 2001,69 unequal: No Solution Exploring Operation: 29+69=98, Resulting Numbers: [98] 98,69 unequal: No Solution Moving to Node #0,2,0 Current State: 69:[29, 24], Operations: ['56-27=29', '72/3=24'] Exploring Operation: 29+24=53, Resulting Numbers: [53] 53,69 unequal: No Solution Exploring Operation: 29-24=5, Resulting Numbers: [5] 5,69 unequal: No Solution Exploring Operation: 29*24=696, Resulting Numbers: [696] 696,69 unequal: No Solution Moving to Node #0,0,2 Current State: 69:[27, 19], Operations: ['72-56=16', '3+16=19'] Exploring Operation: 27*19=513, Resulting Numbers: [513] 513,69 unequal: No Solution Exploring Operation: 27-19=8, Resulting Numbers: [8] 8,69 unequal: No Solution Exploring Operation: 27+19=46, Resulting Numbers: [46] 46,69 unequal: No Solution Moving to Node #0,0,1 Current State: 69:[3, 11], Operations: ['72-56=16', '27-16=11'] Exploring Operation: 3*11=33, Resulting Numbers: [33] 33,69 unequal: No Solution Exploring Operation: 3+11=14, Resulting Numbers: [14] 14,69 unequal: No Solution Exploring Operation: 11-3=8, Resulting Numbers: [8] 8,69 unequal: No Solution Moving to Node #0,0,0 Current State: 69:[16, 24], Operations: ['72-56=16', '27-3=24'] Exploring Operation: 16+24=40, Resulting Numbers: [40] 40,69 unequal: No Solution Exploring Operation: 24-16=8, Resulting Numbers: [8] 8,69 unequal: No Solution Exploring Operation: 16*24=384, Resulting Numbers: [384] 384,69 unequal: No Solution No solution found.
0
hs_3
sum_heuristic
[ 42, 22, 21, 60 ]
59
[ "42-22=20", "60-21=39", "20+39=59" ]
Current State: 59:[42, 22, 21, 60], Operations: [] Exploring Operation: 42-22=20, Resulting Numbers: [21, 60, 20] Generated Node #2: [21, 60, 20] from Operation: 42-22=20 Current State: 59:[21, 60, 20], Operations: ['42-22=20'] Exploring Operation: 60-21=39, Resulting Numbers: [20, 39] Generated Node #3: [20, 39] from Operation: 60-21=39 Current State: 59:[20, 39], Operations: ['42-22=20', '60-21=39'] Exploring Operation: 20+39=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
Current State: 59:[42, 22, 21, 60], Operations: [] Exploring Operation: 42+21=63, Resulting Numbers: [22, 60, 63] Generated Node #0,0: 59:[22, 60, 63] Operation: 42+21=63 Exploring Operation: 22+21=43, Resulting Numbers: [42, 60, 43] Generated Node #0,1: 59:[42, 60, 43] Operation: 22+21=43 Moving to Node #0,1 Current State: 59:[42, 60, 43], Operations: ['22+21=43'] Exploring Operation: 42+43=85, Resulting Numbers: [60, 85] Generated Node #0,1,0: 59:[60, 85] Operation: 42+43=85 Exploring Operation: 60-42=18, Resulting Numbers: [43, 18] Generated Node #0,1,1: 59:[43, 18] Operation: 60-42=18 Moving to Node #0,0 Current State: 59:[22, 60, 63], Operations: ['42+21=63'] Exploring Operation: 60-22=38, Resulting Numbers: [63, 38] Generated Node #0,0,0: 59:[63, 38] Operation: 60-22=38 Exploring Operation: 63-22=41, Resulting Numbers: [60, 41] Generated Node #0,0,1: 59:[60, 41] Operation: 63-22=41 Moving to Node #0,0,1 Current State: 59:[60, 41], Operations: ['42+21=63', '63-22=41'] Exploring Operation: 60-41=19, Resulting Numbers: [19] 19,59 unequal: No Solution Exploring Operation: 60+41=101, Resulting Numbers: [101] 101,59 unequal: No Solution Moving to Node #0,0,0 Current State: 59:[63, 38], Operations: ['42+21=63', '60-22=38'] Exploring Operation: 63-38=25, Resulting Numbers: [25] 25,59 unequal: No Solution Exploring Operation: 63+38=101, Resulting Numbers: [101] 101,59 unequal: No Solution Moving to Node #0,1,0 Current State: 59:[60, 85], Operations: ['22+21=43', '42+43=85'] Exploring Operation: 85-60=25, Resulting Numbers: [25] 25,59 unequal: No Solution Exploring Operation: 60+85=145, Resulting Numbers: [145] 145,59 unequal: No Solution Moving to Node #0,1,1 Current State: 59:[43, 18], Operations: ['22+21=43', '60-42=18'] Exploring Operation: 43+18=61, Resulting Numbers: [61] 61,59 unequal: No Solution Exploring Operation: 43-18=25, Resulting Numbers: [25] 25,59 unequal: No Solution No solution found.
0
hs_2
mult_heuristic
[ 31, 32, 34, 15 ]
61
[ "34-32=2", "15*2=30", "31+30=61" ]
Current State: 61:[31, 32, 34, 15], Operations: [] Exploring Operation: 34-32=2, Resulting Numbers: [31, 15, 2] Generated Node #2: [31, 15, 2] from Operation: 34-32=2 Current State: 61:[31, 15, 2], Operations: ['34-32=2'] Exploring Operation: 15*2=30, Resulting Numbers: [31, 30] Generated Node #3: [31, 30] from Operation: 15*2=30 Current State: 61:[31, 30], Operations: ['34-32=2', '15*2=30'] Exploring Operation: 31+30=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
Current State: 61:[31, 32, 34, 15], Operations: [] Exploring Operation: 34+15=49, Resulting Numbers: [31, 32, 49] Generated Node #0,0: 61:[31, 32, 49] Operation: 34+15=49 Exploring Operation: 32+15=47, Resulting Numbers: [31, 34, 47] Generated Node #0,1: 61:[31, 34, 47] Operation: 32+15=47 Exploring Operation: 31+15=46, Resulting Numbers: [32, 34, 46] Generated Node #0,2: 61:[32, 34, 46] Operation: 31+15=46 Exploring Operation: 31+32=63, Resulting Numbers: [34, 15, 63] Generated Node #0,3: 61:[34, 15, 63] Operation: 31+32=63 Start Sub Search at level 1: Moving to Node #0,0 Current State: 61:[31, 32, 49], Operations: ['34+15=49'] Exploring Operation: 32-31=1, Resulting Numbers: [49, 1] Generated Node #0,0,0: 61:[49, 1] Operation: 32-31=1 Exploring Operation: 31+32=63, Resulting Numbers: [49, 63] Generated Node #0,0,1: 61:[49, 63] Operation: 31+32=63 Exploring Operation: 32+49=81, Resulting Numbers: [31, 81] Generated Node #0,0,2: 61:[31, 81] Operation: 32+49=81 Exploring Operation: 31+49=80, Resulting Numbers: [32, 80] Generated Node #0,0,3: 61:[32, 80] Operation: 31+49=80 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 61:[49, 63], Operations: ['34+15=49', '31+32=63'] Exploring Operation: 49*63=3087, Resulting Numbers: [3087] 3087,61 unequal: No Solution Exploring Operation: 63-49=14, Resulting Numbers: [14] 14,61 unequal: No Solution Exploring Operation: 49+63=112, Resulting Numbers: [112] 112,61 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: 61:[32, 80], Operations: ['34+15=49', '31+49=80'] Exploring Operation: 32*80=2560, Resulting Numbers: [2560] 2560,61 unequal: No Solution Exploring Operation: 80-32=48, Resulting Numbers: [48] 48,61 unequal: No Solution Exploring Operation: 32+80=112, Resulting Numbers: [112] 112,61 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: 61:[31, 81], Operations: ['34+15=49', '32+49=81'] Exploring Operation: 31*81=2511, Resulting Numbers: [2511] 2511,61 unequal: No Solution Exploring Operation: 31+81=112, Resulting Numbers: [112] 112,61 unequal: No Solution Exploring Operation: 81-31=50, Resulting Numbers: [50] 50,61 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: 61:[49, 1], Operations: ['34+15=49', '32-31=1'] Exploring Operation: 49+1=50, Resulting Numbers: [50] 50,61 unequal: No Solution Exploring Operation: 49*1=49, Resulting Numbers: [49] 49,61 unequal: No Solution Exploring Operation: 49/1=49, Resulting Numbers: [49] 49,61 unequal: No Solution Exploring Operation: 49-1=48, Resulting Numbers: [48] 48,61 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 61:[31, 34, 47], Operations: ['32+15=47'] Exploring Operation: 31+34=65, Resulting Numbers: [47, 65] Generated Node #0,1,0: 61:[47, 65] Operation: 31+34=65 Exploring Operation: 34+47=81, Resulting Numbers: [31, 81] Generated Node #0,1,1: 61:[31, 81] Operation: 34+47=81 Exploring Operation: 31+47=78, Resulting Numbers: [34, 78] Generated Node #0,1,2: 61:[34, 78] Operation: 31+47=78 Exploring Operation: 34-31=3, Resulting Numbers: [47, 3] Generated Node #0,1,3: 61:[47, 3] Operation: 34-31=3 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 61:[47, 65], Operations: ['32+15=47', '31+34=65'] Exploring Operation: 47*65=3055, Resulting Numbers: [3055] 3055,61 unequal: No Solution Exploring Operation: 65-47=18, Resulting Numbers: [18] 18,61 unequal: No Solution Exploring Operation: 47+65=112, Resulting Numbers: [112] 112,61 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: 61:[34, 78], Operations: ['32+15=47', '31+47=78'] Exploring Operation: 34*78=2652, Resulting Numbers: [2652] 2652,61 unequal: No Solution Exploring Operation: 34+78=112, Resulting Numbers: [112] 112,61 unequal: No Solution Exploring Operation: 78-34=44, Resulting Numbers: [44] 44,61 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: 61:[31, 81], Operations: ['32+15=47', '34+47=81'] Exploring Operation: 81-31=50, Resulting Numbers: [50] 50,61 unequal: No Solution Exploring Operation: 31*81=2511, Resulting Numbers: [2511] 2511,61 unequal: No Solution Exploring Operation: 31+81=112, Resulting Numbers: [112] 112,61 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: 61:[47, 3], Operations: ['32+15=47', '34-31=3'] Exploring Operation: 47-3=44, Resulting Numbers: [44] 44,61 unequal: No Solution Exploring Operation: 47+3=50, Resulting Numbers: [50] 50,61 unequal: No Solution Exploring Operation: 47*3=141, Resulting Numbers: [141] 141,61 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 61:[32, 34, 46], Operations: ['31+15=46'] Exploring Operation: 34-32=2, Resulting Numbers: [46, 2] Generated Node #0,2,0: 61:[46, 2] Operation: 34-32=2 Exploring Operation: 34+46=80, Resulting Numbers: [32, 80] Generated Node #0,2,1: 61:[32, 80] Operation: 34+46=80 Exploring Operation: 32+46=78, Resulting Numbers: [34, 78] Generated Node #0,2,2: 61:[34, 78] Operation: 32+46=78 Exploring Operation: 32+34=66, Resulting Numbers: [46, 66] Generated Node #0,2,3: 61:[46, 66] Operation: 32+34=66 Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 61:[46, 66], Operations: ['31+15=46', '32+34=66'] Exploring Operation: 46+66=112, Resulting Numbers: [112] 112,61 unequal: No Solution Exploring Operation: 66-46=20, Resulting Numbers: [20] 20,61 unequal: No Solution Exploring Operation: 46*66=3036, Resulting Numbers: [3036] 3036,61 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: 61:[34, 78], Operations: ['31+15=46', '32+46=78'] Exploring Operation: 34+78=112, Resulting Numbers: [112] 112,61 unequal: No Solution Exploring Operation: 78-34=44, Resulting Numbers: [44] 44,61 unequal: No Solution Exploring Operation: 34*78=2652, Resulting Numbers: [2652] 2652,61 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: 61:[32, 80], Operations: ['31+15=46', '34+46=80'] Exploring Operation: 32*80=2560, Resulting Numbers: [2560] 2560,61 unequal: No Solution Exploring Operation: 32+80=112, Resulting Numbers: [112] 112,61 unequal: No Solution Exploring Operation: 80-32=48, Resulting Numbers: [48] 48,61 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: 61:[46, 2], Operations: ['31+15=46', '34-32=2'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,61 unequal: No Solution Exploring Operation: 46+2=48, Resulting Numbers: [48] 48,61 unequal: No Solution Exploring Operation: 46-2=44, Resulting Numbers: [44] 44,61 unequal: No Solution Exploring Operation: 46*2=92, Resulting Numbers: [92] 92,61 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 61:[34, 15, 63], Operations: ['31+32=63'] Exploring Operation: 63-15=48, Resulting Numbers: [34, 48] Generated Node #0,3,0: 61:[34, 48] Operation: 63-15=48 Exploring Operation: 15+63=78, Resulting Numbers: [34, 78] Generated Node #0,3,1: 61:[34, 78] Operation: 15+63=78 Exploring Operation: 34-15=19, Resulting Numbers: [63, 19] Generated Node #0,3,2: 61:[63, 19] Operation: 34-15=19 Exploring Operation: 34+15=49, Resulting Numbers: [63, 49] Generated Node #0,3,3: 61:[63, 49] Operation: 34+15=49 Moving to Node #0,3,3 Current State: 61:[63, 49], Operations: ['31+32=63', '34+15=49'] Exploring Operation: 63+49=112, Resulting Numbers: [112] 112,61 unequal: No Solution Exploring Operation: 63-49=14, Resulting Numbers: [14] 14,61 unequal: No Solution Exploring Operation: 63*49=3087, Resulting Numbers: [3087] 3087,61 unequal: No Solution Moving to Node #0,3,0 Current State: 61:[34, 48], Operations: ['31+32=63', '63-15=48'] Exploring Operation: 48-34=14, Resulting Numbers: [14] 14,61 unequal: No Solution Exploring Operation: 34+48=82, Resulting Numbers: [82] 82,61 unequal: No Solution Exploring Operation: 34*48=1632, Resulting Numbers: [1632] 1632,61 unequal: No Solution Moving to Node #0,3,2 Current State: 61:[63, 19], Operations: ['31+32=63', '34-15=19'] Exploring Operation: 63*19=1197, Resulting Numbers: [1197] 1197,61 unequal: No Solution Exploring Operation: 63-19=44, Resulting Numbers: [44] 44,61 unequal: No Solution Exploring Operation: 63+19=82, Resulting Numbers: [82] 82,61 unequal: No Solution Moving to Node #0,3,1 Current State: 61:[34, 78], Operations: ['31+32=63', '15+63=78'] Exploring Operation: 34+78=112, Resulting Numbers: [112] 112,61 unequal: No Solution Exploring Operation: 78-34=44, Resulting Numbers: [44] 44,61 unequal: No Solution Exploring Operation: 34*78=2652, Resulting Numbers: [2652] 2652,61 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
sum_heuristic
[ 62, 31, 67, 54 ]
28
[ "62+31=93", "67+54=121", "121-93=28" ]
Current State: 28:[62, 31, 67, 54], Operations: [] Exploring Operation: 62+31=93, Resulting Numbers: [67, 54, 93] Generated Node #2: [67, 54, 93] from Operation: 62+31=93 Current State: 28:[67, 54, 93], Operations: ['62+31=93'] Exploring Operation: 67+54=121, Resulting Numbers: [93, 121] Generated Node #3: [93, 121] from Operation: 67+54=121 Current State: 28:[93, 121], Operations: ['62+31=93', '67+54=121'] Exploring Operation: 121-93=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
Current State: 28:[62, 31, 67, 54], Operations: [] Exploring Operation: 67-54=13, Resulting Numbers: [62, 31, 13] Generated Node #0,0: 28:[62, 31, 13] Operation: 67-54=13 Exploring Operation: 62-54=8, Resulting Numbers: [31, 67, 8] Generated Node #0,1: 28:[31, 67, 8] Operation: 62-54=8 Exploring Operation: 67-62=5, Resulting Numbers: [31, 54, 5] Generated Node #0,2: 28:[31, 54, 5] Operation: 67-62=5 Moving to Node #0,2 Current State: 28:[31, 54, 5], Operations: ['67-62=5'] Exploring Operation: 54-5=49, Resulting Numbers: [31, 49] Generated Node #0,2,0: 28:[31, 49] Operation: 54-5=49 Exploring Operation: 31-5=26, Resulting Numbers: [54, 26] Generated Node #0,2,1: 28:[54, 26] Operation: 31-5=26 Exploring Operation: 54-31=23, Resulting Numbers: [5, 23] Generated Node #0,2,2: 28:[5, 23] Operation: 54-31=23 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 28:[5, 23], Operations: ['67-62=5', '54-31=23'] Exploring Operation: 5+23=28, Resulting Numbers: [28] 28,28 equal: Goal Reached Moving to Node #0 Current State: 28:[62, 31, 67, 54], Operations: [] Exploring Operation: 67-62=5, Resulting Numbers: [31, 54, 5] Generated Node #0,2: 28:[31, 54, 5] Operation: 67-62=5 Moving to Node #0,2 Current State: 28:[31, 54, 5], Operations: ['67-62=5'] Exploring Operation: 54-31=23, Resulting Numbers: [5, 23] Generated Node #0,2,2: 28:[5, 23] Operation: 54-31=23 Moving to Node #0,2,2 Current State: 28:[5, 23], Operations: ['67-62=5', '54-31=23'] Exploring Operation: 5+23=28, Resulting Numbers: [28] 28,28 equal: Goal Reached Exit Sub Search at level 1
0.990451
hs_3
mult_heuristic
[ 10, 3, 24, 45 ]
27
[ "45-10=35", "24/3=8", "35-8=27" ]
Current State: 27:[10, 3, 24, 45], Operations: [] Exploring Operation: 45-10=35, Resulting Numbers: [3, 24, 35] Generated Node #2: [3, 24, 35] from Operation: 45-10=35 Current State: 27:[3, 24, 35], Operations: ['45-10=35'] Exploring Operation: 24/3=8, Resulting Numbers: [35, 8] Generated Node #3: [35, 8] from Operation: 24/3=8 Current State: 27:[35, 8], Operations: ['45-10=35', '24/3=8'] Exploring Operation: 35-8=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
Current State: 27:[10, 3, 24, 45], Operations: [] Exploring Operation: 45-10=35, Resulting Numbers: [3, 24, 35] Generated Node #0,0: 27:[3, 24, 35] Operation: 45-10=35 Exploring Operation: 45-24=21, Resulting Numbers: [10, 3, 21] Generated Node #0,1: 27:[10, 3, 21] Operation: 45-24=21 Exploring Operation: 45/3=15, Resulting Numbers: [10, 24, 15] Generated Node #0,2: 27:[10, 24, 15] Operation: 45/3=15 Moving to Node #0,1 Current State: 27:[10, 3, 21], Operations: ['45-24=21'] Exploring Operation: 21-10=11, Resulting Numbers: [3, 11] Generated Node #0,1,0: 27:[3, 11] Operation: 21-10=11 Exploring Operation: 10+21=31, Resulting Numbers: [3, 31] Generated Node #0,1,1: 27:[3, 31] Operation: 10+21=31 Exploring Operation: 21/3=7, Resulting Numbers: [10, 7] Generated Node #0,1,2: 27:[10, 7] Operation: 21/3=7 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 27:[3, 11], Operations: ['45-24=21', '21-10=11'] Exploring Operation: 3+11=14, Resulting Numbers: [14] 14,27 unequal: No Solution Exploring Operation: 11-3=8, Resulting Numbers: [8] 8,27 unequal: No Solution Exploring Operation: 3*11=33, Resulting Numbers: [33] 33,27 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 27:[10, 7], Operations: ['45-24=21', '21/3=7'] Exploring Operation: 10+7=17, Resulting Numbers: [17] 17,27 unequal: No Solution Exploring Operation: 10*7=70, Resulting Numbers: [70] 70,27 unequal: No Solution Exploring Operation: 10-7=3, Resulting Numbers: [3] 3,27 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 27:[3, 31], Operations: ['45-24=21', '10+21=31'] Exploring Operation: 3*31=93, Resulting Numbers: [93] 93,27 unequal: No Solution Exploring Operation: 31-3=28, Resulting Numbers: [28] 28,27 unequal: No Solution Exploring Operation: 3+31=34, Resulting Numbers: [34] 34,27 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: 27:[10, 24, 15], Operations: ['45/3=15'] Exploring Operation: 24-15=9, Resulting Numbers: [10, 9] Generated Node #0,2,0: 27:[10, 9] Operation: 24-15=9 Exploring Operation: 10+15=25, Resulting Numbers: [24, 25] Generated Node #0,2,1: 27:[24, 25] Operation: 10+15=25 Exploring Operation: 15-10=5, Resulting Numbers: [24, 5] Generated Node #0,2,2: 27:[24, 5] Operation: 15-10=5 Moving to Node #0,0 Current State: 27:[3, 24, 35], Operations: ['45-10=35'] Exploring Operation: 35-24=11, Resulting Numbers: [3, 11] Generated Node #0,0,0: 27:[3, 11] Operation: 35-24=11 Exploring Operation: 3+24=27, Resulting Numbers: [35, 27] Generated Node #0,0,1: 27:[35, 27] Operation: 3+24=27 Exploring Operation: 35-3=32, Resulting Numbers: [24, 32] Generated Node #0,0,2: 27:[24, 32] Operation: 35-3=32 Moving to Node #0,2,0 Current State: 27:[10, 9], Operations: ['45/3=15', '24-15=9'] Exploring Operation: 10*9=90, Resulting Numbers: [90] 90,27 unequal: No Solution Exploring Operation: 10+9=19, Resulting Numbers: [19] 19,27 unequal: No Solution Exploring Operation: 10-9=1, Resulting Numbers: [1] 1,27 unequal: No Solution Moving to Node #0,0,0 Current State: 27:[3, 11], Operations: ['45-10=35', '35-24=11'] Exploring Operation: 3*11=33, Resulting Numbers: [33] 33,27 unequal: No Solution Exploring Operation: 3+11=14, Resulting Numbers: [14] 14,27 unequal: No Solution Exploring Operation: 11-3=8, Resulting Numbers: [8] 8,27 unequal: No Solution Moving to Node #0,2,2 Current State: 27:[24, 5], Operations: ['45/3=15', '15-10=5'] Exploring Operation: 24*5=120, Resulting Numbers: [120] 120,27 unequal: No Solution Exploring Operation: 24+5=29, Resulting Numbers: [29] 29,27 unequal: No Solution Exploring Operation: 24-5=19, Resulting Numbers: [19] 19,27 unequal: No Solution Moving to Node #0,2,1 Current State: 27:[24, 25], Operations: ['45/3=15', '10+15=25'] Exploring Operation: 25-24=1, Resulting Numbers: [1] 1,27 unequal: No Solution Exploring Operation: 24+25=49, Resulting Numbers: [49] 49,27 unequal: No Solution Exploring Operation: 24*25=600, Resulting Numbers: [600] 600,27 unequal: No Solution Moving to Node #0,0,2 Current State: 27:[24, 32], Operations: ['45-10=35', '35-3=32'] Exploring Operation: 24*32=768, Resulting Numbers: [768] 768,27 unequal: No Solution Exploring Operation: 32-24=8, Resulting Numbers: [8] 8,27 unequal: No Solution Exploring Operation: 24+32=56, Resulting Numbers: [56] 56,27 unequal: No Solution Moving to Node #0,0,1 Current State: 27:[35, 27], Operations: ['45-10=35', '3+24=27'] Exploring Operation: 35+27=62, Resulting Numbers: [62] 62,27 unequal: No Solution Exploring Operation: 35-27=8, Resulting Numbers: [8] 8,27 unequal: No Solution Exploring Operation: 35*27=945, Resulting Numbers: [945] 945,27 unequal: No Solution No solution found.
0
hs_3
mult_heuristic
[ 52, 93, 22, 18 ]
37
[ "93-52=41", "22-18=4", "41-4=37" ]
Current State: 37:[52, 93, 22, 18], Operations: [] Exploring Operation: 93-52=41, Resulting Numbers: [22, 18, 41] Generated Node #2: [22, 18, 41] from Operation: 93-52=41 Current State: 37:[22, 18, 41], Operations: ['93-52=41'] Exploring Operation: 22-18=4, Resulting Numbers: [41, 4] Generated Node #3: [41, 4] from Operation: 22-18=4 Current State: 37:[41, 4], Operations: ['93-52=41', '22-18=4'] Exploring Operation: 41-4=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
Current State: 37:[52, 93, 22, 18], Operations: [] Exploring Operation: 93-52=41, Resulting Numbers: [22, 18, 41] Generated Node #0,0: 37:[22, 18, 41] Operation: 93-52=41 Exploring Operation: 93-22=71, Resulting Numbers: [52, 18, 71] Generated Node #0,1: 37:[52, 18, 71] Operation: 93-22=71 Moving to Node #0,0 Current State: 37:[22, 18, 41], Operations: ['93-52=41'] Exploring Operation: 22+18=40, Resulting Numbers: [41, 40] Generated Node #0,0,0: 37:[41, 40] Operation: 22+18=40 Exploring Operation: 41-18=23, Resulting Numbers: [22, 23] Generated Node #0,0,1: 37:[22, 23] Operation: 41-18=23 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 37:[41, 40], Operations: ['93-52=41', '22+18=40'] Exploring Operation: 41-40=1, Resulting Numbers: [1] 1,37 unequal: No Solution Exploring Operation: 41+40=81, Resulting Numbers: [81] 81,37 unequal: No Solution No 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: 37:[22, 23], Operations: ['93-52=41', '41-18=23'] Exploring Operation: 22+23=45, Resulting Numbers: [45] 45,37 unequal: No Solution Exploring Operation: 23-22=1, Resulting Numbers: [1] 1,37 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: 37:[52, 18, 71], Operations: ['93-22=71'] Exploring Operation: 71-18=53, Resulting Numbers: [52, 53] Generated Node #0,1,0: 37:[52, 53] Operation: 71-18=53 Exploring Operation: 52-18=34, Resulting Numbers: [71, 34] Generated Node #0,1,1: 37:[71, 34] Operation: 52-18=34 Moving to Node #0,1,0 Current State: 37:[52, 53], Operations: ['93-22=71', '71-18=53'] Exploring Operation: 52+53=105, Resulting Numbers: [105] 105,37 unequal: No Solution Exploring Operation: 53-52=1, Resulting Numbers: [1] 1,37 unequal: No Solution Moving to Node #0,1,1 Current State: 37:[71, 34], Operations: ['93-22=71', '52-18=34'] Exploring Operation: 71+34=105, Resulting Numbers: [105] 105,37 unequal: No Solution Exploring Operation: 71-34=37, Resulting Numbers: [37] 37,37 equal: Goal Reached Moving to Node #0 Current State: 37:[52, 93, 22, 18], Operations: [] Exploring Operation: 93-22=71, Resulting Numbers: [52, 18, 71] Generated Node #0,1: 37:[52, 18, 71] Operation: 93-22=71 Moving to Node #0,1 Current State: 37:[52, 18, 71], Operations: ['93-22=71'] Exploring Operation: 52-18=34, Resulting Numbers: [71, 34] Generated Node #0,1,1: 37:[71, 34] Operation: 52-18=34 Moving to Node #0,1,1 Current State: 37:[71, 34], Operations: ['93-22=71', '52-18=34'] Exploring Operation: 71-34=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
0.984375
hs_2
mult_heuristic
[ 45, 72, 11, 4 ]
12
[ "72-45=27", "11+4=15", "27-15=12" ]
Current State: 12:[45, 72, 11, 4], Operations: [] Exploring Operation: 72-45=27, Resulting Numbers: [11, 4, 27] Generated Node #2: [11, 4, 27] from Operation: 72-45=27 Current State: 12:[11, 4, 27], Operations: ['72-45=27'] Exploring Operation: 11+4=15, Resulting Numbers: [27, 15] Generated Node #3: [27, 15] from Operation: 11+4=15 Current State: 12:[27, 15], Operations: ['72-45=27', '11+4=15'] Exploring Operation: 27-15=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
Current State: 12:[45, 72, 11, 4], Operations: [] Exploring Operation: 72-45=27, Resulting Numbers: [11, 4, 27] Generated Node #0,0: 12:[11, 4, 27] Operation: 72-45=27 Exploring Operation: 72/4=18, Resulting Numbers: [45, 11, 18] Generated Node #0,1: 12:[45, 11, 18] Operation: 72/4=18 Start Sub Search at level 1: Moving to Node #0,0 Current State: 12:[11, 4, 27], Operations: ['72-45=27'] Exploring Operation: 27-4=23, Resulting Numbers: [11, 23] Generated Node #0,0,0: 12:[11, 23] Operation: 27-4=23 Exploring Operation: 27-11=16, Resulting Numbers: [4, 16] Generated Node #0,0,1: 12:[4, 16] Operation: 27-11=16 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 12:[4, 16], Operations: ['72-45=27', '27-11=16'] Exploring Operation: 16-4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached Moving to Node #0 Current State: 12:[45, 72, 11, 4], Operations: [] Exploring Operation: 72-45=27, Resulting Numbers: [11, 4, 27] Generated Node #0,0: 12:[11, 4, 27] Operation: 72-45=27 Moving to Node #0,0 Current State: 12:[11, 4, 27], Operations: ['72-45=27'] Exploring Operation: 27-11=16, Resulting Numbers: [4, 16] Generated Node #0,0,1: 12:[4, 16] Operation: 27-11=16 Moving to Node #0,0,1 Current State: 12:[4, 16], Operations: ['72-45=27', '27-11=16'] Exploring Operation: 16-4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.992188
hs_2
sum_heuristic
[ 46, 4, 91, 73 ]
68
[ "46+4=50", "91-73=18", "50+18=68" ]
Current State: 68:[46, 4, 91, 73], Operations: [] Exploring Operation: 46+4=50, Resulting Numbers: [91, 73, 50] Generated Node #2: [91, 73, 50] from Operation: 46+4=50 Current State: 68:[91, 73, 50], Operations: ['46+4=50'] Exploring Operation: 91-73=18, Resulting Numbers: [50, 18] Generated Node #3: [50, 18] from Operation: 91-73=18 Current State: 68:[50, 18], Operations: ['46+4=50', '91-73=18'] Exploring Operation: 50+18=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
Current State: 68:[46, 4, 91, 73], Operations: [] Exploring Operation: 91-73=18, Resulting Numbers: [46, 4, 18] Generated Node #0,0: 68:[46, 4, 18] Operation: 91-73=18 Exploring Operation: 46-4=42, Resulting Numbers: [91, 73, 42] Generated Node #0,1: 68:[91, 73, 42] Operation: 46-4=42 Exploring Operation: 73-46=27, Resulting Numbers: [4, 91, 27] Generated Node #0,2: 68:[4, 91, 27] Operation: 73-46=27 Exploring Operation: 91-46=45, Resulting Numbers: [4, 73, 45] Generated Node #0,3: 68:[4, 73, 45] Operation: 91-46=45 Moving to Node #0,0 Current State: 68:[46, 4, 18], Operations: ['91-73=18'] Exploring Operation: 46-4=42, Resulting Numbers: [18, 42] Generated Node #0,0,0: 68:[18, 42] Operation: 46-4=42 Exploring Operation: 46-18=28, Resulting Numbers: [4, 28] Generated Node #0,0,1: 68:[4, 28] Operation: 46-18=28 Exploring Operation: 46+18=64, Resulting Numbers: [4, 64] Generated Node #0,0,2: 68:[4, 64] Operation: 46+18=64 Exploring Operation: 18-4=14, Resulting Numbers: [46, 14] Generated Node #0,0,3: 68:[46, 14] Operation: 18-4=14 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 68:[4, 64], Operations: ['91-73=18', '46+18=64'] Exploring Operation: 4*64=256, Resulting Numbers: [256] 256,68 unequal: No Solution Exploring Operation: 4+64=68, Resulting Numbers: [68] 68,68 equal: Goal Reached Moving to Node #0 Current State: 68:[46, 4, 91, 73], Operations: [] Exploring Operation: 91-73=18, Resulting Numbers: [46, 4, 18] Generated Node #0,0: 68:[46, 4, 18] Operation: 91-73=18 Moving to Node #0,0 Current State: 68:[46, 4, 18], Operations: ['91-73=18'] Exploring Operation: 46+18=64, Resulting Numbers: [4, 64] Generated Node #0,0,2: 68:[4, 64] Operation: 46+18=64 Moving to Node #0,0,2 Current State: 68:[4, 64], Operations: ['91-73=18', '46+18=64'] Exploring Operation: 4+64=68, Resulting Numbers: [68] 68,68 equal: Goal Reached Exit Sub Search at level 1
0.987847
hs_4
mult_heuristic
[ 95, 19, 47, 80 ]
43
[ "95-19=76", "80-47=33", "76-33=43" ]
Current State: 43:[95, 19, 47, 80], Operations: [] Exploring Operation: 95-19=76, Resulting Numbers: [47, 80, 76] Generated Node #2: [47, 80, 76] from Operation: 95-19=76 Current State: 43:[47, 80, 76], Operations: ['95-19=76'] Exploring Operation: 80-47=33, Resulting Numbers: [76, 33] Generated Node #3: [76, 33] from Operation: 80-47=33 Current State: 43:[76, 33], Operations: ['95-19=76', '80-47=33'] Exploring Operation: 76-33=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
Current State: 43:[95, 19, 47, 80], Operations: [] Exploring Operation: 95-80=15, Resulting Numbers: [19, 47, 15] Generated Node #0,0: 43:[19, 47, 15] Operation: 95-80=15 Start Sub Search at level 1: Moving to Node #0,0 Current State: 43:[19, 47, 15], Operations: ['95-80=15'] Exploring Operation: 19+15=34, Resulting Numbers: [47, 34] Generated Node #0,0,0: 43:[47, 34] Operation: 19+15=34 Moving to Node #0,0,0 Current State: 43:[47, 34], Operations: ['95-80=15', '19+15=34'] Exploring Operation: 47-34=13, Resulting Numbers: [13] 13,43 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
[ 42, 42, 55, 94 ]
40
[ "42/42=1", "94-55=39", "1+39=40" ]
Current State: 40:[42, 42, 55, 94], Operations: [] Exploring Operation: 42/42=1, Resulting Numbers: [55, 94, 1] Generated Node #2: [55, 94, 1] from Operation: 42/42=1 Current State: 40:[55, 94, 1], Operations: ['42/42=1'] Exploring Operation: 94-55=39, Resulting Numbers: [1, 39] Generated Node #3: [1, 39] from Operation: 94-55=39 Current State: 40:[1, 39], Operations: ['42/42=1', '94-55=39'] Exploring Operation: 1+39=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
Current State: 40:[42, 42, 55, 94], Operations: [] Exploring Operation: 94-55=39, Resulting Numbers: [42, 42, 39] Generated Node #0,0: 40:[42, 42, 39] Operation: 94-55=39 Moving to Node #0,0 Current State: 40:[42, 42, 39], Operations: ['94-55=39'] Exploring Operation: 42/42=1, Resulting Numbers: [39, 1] Generated Node #0,0,0: 40:[39, 1] Operation: 42/42=1 Moving to Node #0,0,0 Current State: 40:[39, 1], Operations: ['94-55=39', '42/42=1'] Exploring Operation: 39+1=40, Resulting Numbers: [40] 40,40 equal: Goal Reached Moving to Node #0 Current State: 40:[42, 42, 55, 94], Operations: [] Exploring Operation: 94-55=39, Resulting Numbers: [42, 42, 39] Generated Node #0,0: 40:[42, 42, 39] Operation: 94-55=39 Moving to Node #0,0 Current State: 40:[42, 42, 39], Operations: ['94-55=39'] Exploring Operation: 42/42=1, Resulting Numbers: [39, 1] Generated Node #0,0,0: 40:[39, 1] Operation: 42/42=1 Moving to Node #0,0,0 Current State: 40:[39, 1], Operations: ['94-55=39', '42/42=1'] Exploring Operation: 39+1=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
0.993924
hs_1
sum_heuristic
[ 62, 16, 88, 73 ]
93
[ "62+16=78", "88-73=15", "78+15=93" ]
Current State: 93:[62, 16, 88, 73], Operations: [] Exploring Operation: 62+16=78, Resulting Numbers: [88, 73, 78] Generated Node #2: [88, 73, 78] from Operation: 62+16=78 Current State: 93:[88, 73, 78], Operations: ['62+16=78'] Exploring Operation: 88-73=15, Resulting Numbers: [78, 15] Generated Node #3: [78, 15] from Operation: 88-73=15 Current State: 93:[78, 15], Operations: ['62+16=78', '88-73=15'] Exploring Operation: 78+15=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
Current State: 93:[62, 16, 88, 73], Operations: [] Exploring Operation: 62+16=78, Resulting Numbers: [88, 73, 78] Generated Node #0,0: 93:[88, 73, 78] Operation: 62+16=78 Exploring Operation: 62-16=46, Resulting Numbers: [88, 73, 46] Generated Node #0,1: 93:[88, 73, 46] Operation: 62-16=46 Exploring Operation: 88-62=26, Resulting Numbers: [16, 73, 26] Generated Node #0,2: 93:[16, 73, 26] Operation: 88-62=26 Exploring Operation: 16+73=89, Resulting Numbers: [62, 88, 89] Generated Node #0,3: 93:[62, 88, 89] Operation: 16+73=89 Exploring Operation: 73-62=11, Resulting Numbers: [16, 88, 11] Generated Node #0,4: 93:[16, 88, 11] Operation: 73-62=11 Moving to Node #0,4 Current State: 93:[16, 88, 11], Operations: ['73-62=11'] Exploring Operation: 16+11=27, Resulting Numbers: [88, 27] Generated Node #0,4,0: 93:[88, 27] Operation: 16+11=27 Exploring Operation: 16+88=104, Resulting Numbers: [11, 104] Generated Node #0,4,1: 93:[11, 104] Operation: 16+88=104 Exploring Operation: 88/11=8, Resulting Numbers: [16, 8] Generated Node #0,4,2: 93:[16, 8] Operation: 88/11=8 Exploring Operation: 16-11=5, Resulting Numbers: [88, 5] Generated Node #0,4,3: 93:[88, 5] Operation: 16-11=5 Exploring Operation: 88+11=99, Resulting Numbers: [16, 99] Generated Node #0,4,4: 93:[16, 99] Operation: 88+11=99 Moving to Node #0,2 Current State: 93:[16, 73, 26], Operations: ['88-62=26'] Exploring Operation: 26-16=10, Resulting Numbers: [73, 10] Generated Node #0,2,0: 93:[73, 10] Operation: 26-16=10 Exploring Operation: 73-26=47, Resulting Numbers: [16, 47] Generated Node #0,2,1: 93:[16, 47] Operation: 73-26=47 Exploring Operation: 16+73=89, Resulting Numbers: [26, 89] Generated Node #0,2,2: 93:[26, 89] Operation: 16+73=89 Exploring Operation: 73+26=99, Resulting Numbers: [16, 99] Generated Node #0,2,3: 93:[16, 99] Operation: 73+26=99 Exploring Operation: 73-16=57, Resulting Numbers: [26, 57] Generated Node #0,2,4: 93:[26, 57] Operation: 73-16=57 Moving to Node #0,0 Current State: 93:[88, 73, 78], Operations: ['62+16=78'] Exploring Operation: 88-78=10, Resulting Numbers: [73, 10] Generated Node #0,0,0: 93:[73, 10] Operation: 88-78=10 Exploring Operation: 88+73=161, Resulting Numbers: [78, 161] Generated Node #0,0,1: 93:[78, 161] Operation: 88+73=161 Exploring Operation: 73+78=151, Resulting Numbers: [88, 151] Generated Node #0,0,2: 93:[88, 151] Operation: 73+78=151 Exploring Operation: 88-73=15, Resulting Numbers: [78, 15] Generated Node #0,0,3: 93:[78, 15] Operation: 88-73=15 Exploring Operation: 78-73=5, Resulting Numbers: [88, 5] Generated Node #0,0,4: 93:[88, 5] Operation: 78-73=5 Moving to Node #0,1 Current State: 93:[88, 73, 46], Operations: ['62-16=46'] Exploring Operation: 88-73=15, Resulting Numbers: [46, 15] Generated Node #0,1,0: 93:[46, 15] Operation: 88-73=15 Exploring Operation: 73-46=27, Resulting Numbers: [88, 27] Generated Node #0,1,1: 93:[88, 27] Operation: 73-46=27 Exploring Operation: 88-46=42, Resulting Numbers: [73, 42] Generated Node #0,1,2: 93:[73, 42] Operation: 88-46=42 Exploring Operation: 73+46=119, Resulting Numbers: [88, 119] Generated Node #0,1,3: 93:[88, 119] Operation: 73+46=119 Exploring Operation: 88+46=134, Resulting Numbers: [73, 134] Generated Node #0,1,4: 93:[73, 134] Operation: 88+46=134 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 93:[88, 27], Operations: ['62-16=46', '73-46=27'] Exploring Operation: 88+27=115, Resulting Numbers: [115] 115,93 unequal: No Solution Exploring Operation: 88-27=61, Resulting Numbers: [61] 61,93 unequal: No Solution Exploring Operation: 88*27=2376, Resulting Numbers: [2376] 2376,93 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 93:[46, 15], Operations: ['62-16=46', '88-73=15'] Exploring Operation: 46+15=61, Resulting Numbers: [61] 61,93 unequal: No Solution Exploring Operation: 46*15=690, Resulting Numbers: [690] 690,93 unequal: No Solution Exploring Operation: 46-15=31, Resulting Numbers: [31] 31,93 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 93:[73, 42], Operations: ['62-16=46', '88-46=42'] Exploring Operation: 73-42=31, Resulting Numbers: [31] 31,93 unequal: No Solution Exploring Operation: 73*42=3066, Resulting Numbers: [3066] 3066,93 unequal: No Solution Exploring Operation: 73+42=115, Resulting Numbers: [115] 115,93 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 93:[88, 119], Operations: ['62-16=46', '73+46=119'] Exploring Operation: 88*119=10472, Resulting Numbers: [10472] 10472,93 unequal: No Solution Exploring Operation: 88+119=207, Resulting Numbers: [207] 207,93 unequal: No Solution Exploring Operation: 119-88=31, Resulting Numbers: [31] 31,93 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 93:[73, 134], Operations: ['62-16=46', '88+46=134'] Exploring Operation: 73+134=207, Resulting Numbers: [207] 207,93 unequal: No Solution Exploring Operation: 134-73=61, Resulting Numbers: [61] 61,93 unequal: No Solution Exploring Operation: 73*134=9782, Resulting Numbers: [9782] 9782,93 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: 93:[62, 88, 89], Operations: ['16+73=89'] Exploring Operation: 88-62=26, Resulting Numbers: [89, 26] Generated Node #0,3,0: 93:[89, 26] Operation: 88-62=26 Exploring Operation: 89-88=1, Resulting Numbers: [62, 1] Generated Node #0,3,1: 93:[62, 1] Operation: 89-88=1 Exploring Operation: 62+88=150, Resulting Numbers: [89, 150] Generated Node #0,3,2: 93:[89, 150] Operation: 62+88=150 Exploring Operation: 89-62=27, Resulting Numbers: [88, 27] Generated Node #0,3,3: 93:[88, 27] Operation: 89-62=27 Exploring Operation: 62+89=151, Resulting Numbers: [88, 151] Generated Node #0,3,4: 93:[88, 151] Operation: 62+89=151 Moving to Node #0,4,3 Current State: 93:[88, 5], Operations: ['73-62=11', '16-11=5'] Exploring Operation: 88-5=83, Resulting Numbers: [83] 83,93 unequal: No Solution Exploring Operation: 88+5=93, Resulting Numbers: [93] 93,93 equal: Goal Reached Moving to Node #0 Current State: 93:[62, 16, 88, 73], Operations: [] Exploring Operation: 73-62=11, Resulting Numbers: [16, 88, 11] Generated Node #0,4: 93:[16, 88, 11] Operation: 73-62=11 Moving to Node #0,4 Current State: 93:[16, 88, 11], Operations: ['73-62=11'] Exploring Operation: 16-11=5, Resulting Numbers: [88, 5] Generated Node #0,4,3: 93:[88, 5] Operation: 16-11=5 Moving to Node #0,4,3 Current State: 93:[88, 5], Operations: ['73-62=11', '16-11=5'] Exploring Operation: 88+5=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
0.955729
hs_5
sum_heuristic