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 |
|---|---|---|---|---|---|---|---|---|
[
46,
26,
26,
60
] | 29 | [
"46-26=20",
"60/20=3",
"26+3=29"
] | Current State: 29:[46, 26, 26, 60], Operations: []
Exploring Operation: 46-26=20, Resulting Numbers: [60, 20]
Generated Node #2: [60, 20] from Operation: 46-26=20
Current State: 29:[60, 20], Operations: ['46-26=20']
Exploring Operation: 60/20=3, Resulting Numbers: [3]
3,29 equal: Goal Reached
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[46, 26, 26, 60], Operations: []
Exploring Operation: 60-46=14, Resulting Numbers: [26, 26, 14]
Generated Node #0,0: 29:[26, 26, 14] Operation: 60-46=14
Moving to Node #0,0
Current State: 29:[26, 26, 14], Operations: ['60-46=14']
Exploring Operation: 26+14=40, Resulting Numbers: [26, 40]
Generated Node #0,0,0: 29:[26, 40] Operation: 26+14=40
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 29:[26, 40], Operations: ['60-46=14', '26+14=40']
Exploring Operation: 40-26=14, Resulting Numbers: [14]
14,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
3,
56,
64,
83
] | 73 | [
"83-56=27",
"27/3=9",
"64+9=73"
] | Current State: 73:[3, 56, 64, 83], Operations: []
Exploring Operation: 83-56=27, Resulting Numbers: [3, 64, 27]
Generated Node #2: [3, 64, 27] from Operation: 83-56=27
Current State: 73:[3, 64, 27], Operations: ['83-56=27']
Exploring Operation: 27/3=9, Resulting Numbers: [64, 9]
Generated Node #3: [64, 9] from Operation: 27/3=9
Current State: 73:[64, 9], Operations: ['83-56=27', '27/3=9']
Exploring Operation: 64+9=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[3, 56, 64, 83], Operations: []
Exploring Operation: 64-3=61, Resulting Numbers: [56, 83, 61]
Generated Node #0,0: 73:[56, 83, 61] Operation: 64-3=61
Exploring Operation: 3+56=59, Resulting Numbers: [64, 83, 59]
Generated Node #0,1: 73:[64, 83, 59] Operation: 3+56=59
Exploring Operation: 3+64=67, Resulting Numbers: [56, 83, 67]
Generated Node #0,2: 73:[56, 83, 67] Operation: 3+64=67
Exploring Operation: 83-3=80, Resulting Numbers: [56, 64, 80]
Generated Node #0,3: 73:[56, 64, 80] Operation: 83-3=80
Exploring Operation: 56-3=53, Resulting Numbers: [64, 83, 53]
Generated Node #0,4: 73:[64, 83, 53] Operation: 56-3=53
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[64, 83, 59], Operations: ['3+56=59']
Exploring Operation: 64+59=123, Resulting Numbers: [83, 123]
Generated Node #0,1,0: 73:[83, 123] Operation: 64+59=123
Exploring Operation: 64-59=5, Resulting Numbers: [83, 5]
Generated Node #0,1,1: 73:[83, 5] Operation: 64-59=5
Exploring Operation: 83-64=19, Resulting Numbers: [59, 19]
Generated Node #0,1,2: 73:[59, 19] Operation: 83-64=19
Exploring Operation: 83+59=142, Resulting Numbers: [64, 142]
Generated Node #0,1,3: 73:[64, 142] Operation: 83+59=142
Exploring Operation: 83-59=24, Resulting Numbers: [64, 24]
Generated Node #0,1,4: 73:[64, 24] Operation: 83-59=24
Moving to Node #0,1,4
Current State: 73:[64, 24], Operations: ['3+56=59', '83-59=24']
Exploring Operation: 64+24=88, Resulting Numbers: [88]
88,73 unequal: No Solution
Exploring Operation: 64*24=1536, Resulting Numbers: [1536]
1536,73 unequal: No Solution
Exploring Operation: 64-24=40, Resulting Numbers: [40]
40,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[83, 123], Operations: ['3+56=59', '64+59=123']
Exploring Operation: 83*123=10209, Resulting Numbers: [10209]
10209,73 unequal: No Solution
Exploring Operation: 83+123=206, Resulting Numbers: [206]
206,73 unequal: No Solution
Exploring Operation: 123-83=40, Resulting Numbers: [40]
40,73 unequal: No Solution
Moving to Node #0,1,2
Current State: 73:[59, 19], Operations: ['3+56=59', '83-64=19']
Exploring Operation: 59+19=78, Resulting Numbers: [78]
78,73 unequal: No Solution
Exploring Operation: 59*19=1121, Resulting Numbers: [1121]
1121,73 unequal: No Solution
Exploring Operation: 59-19=40, Resulting Numbers: [40]
40,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[83, 5], Operations: ['3+56=59', '64-59=5']
Exploring Operation: 83-5=78, Resulting Numbers: [78]
78,73 unequal: No Solution
Exploring Operation: 83+5=88, Resulting Numbers: [88]
88,73 unequal: No Solution
Exploring Operation: 83*5=415, Resulting Numbers: [415]
415,73 unequal: No Solution
Moving to Node #0,1,3
Current State: 73:[64, 142], Operations: ['3+56=59', '83+59=142']
Exploring Operation: 64*142=9088, Resulting Numbers: [9088]
9088,73 unequal: No Solution
Exploring Operation: 142-64=78, Resulting Numbers: [78]
78,73 unequal: No Solution
Exploring Operation: 64+142=206, Resulting Numbers: [206]
206,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 73:[56, 83, 67], Operations: ['3+64=67']
Exploring Operation: 83-67=16, Resulting Numbers: [56, 16]
Generated Node #0,2,0: 73:[56, 16] Operation: 83-67=16
Exploring Operation: 56+83=139, Resulting Numbers: [67, 139]
Generated Node #0,2,1: 73:[67, 139] Operation: 56+83=139
Exploring Operation: 56+67=123, Resulting Numbers: [83, 123]
Generated Node #0,2,2: 73:[83, 123] Operation: 56+67=123
Exploring Operation: 83-56=27, Resulting Numbers: [67, 27]
Generated Node #0,2,3: 73:[67, 27] Operation: 83-56=27
Exploring Operation: 67-56=11, Resulting Numbers: [83, 11]
Generated Node #0,2,4: 73:[83, 11] Operation: 67-56=11
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 73:[67, 27], Operations: ['3+64=67', '83-56=27']
Exploring Operation: 67+27=94, Resulting Numbers: [94]
94,73 unequal: No Solution
Exploring Operation: 67-27=40, Resulting Numbers: [40]
40,73 unequal: No Solution
Exploring Operation: 67*27=1809, Resulting Numbers: [1809]
1809,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 73:[83, 123], Operations: ['3+64=67', '56+67=123']
Exploring Operation: 123-83=40, Resulting Numbers: [40]
40,73 unequal: No Solution
Exploring Operation: 83*123=10209, Resulting Numbers: [10209]
10209,73 unequal: No Solution
Exploring Operation: 83+123=206, Resulting Numbers: [206]
206,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 73:[67, 139], Operations: ['3+64=67', '56+83=139']
Exploring Operation: 67*139=9313, Resulting Numbers: [9313]
9313,73 unequal: No Solution
Exploring Operation: 67+139=206, Resulting Numbers: [206]
206,73 unequal: No Solution
Exploring Operation: 139-67=72, Resulting Numbers: [72]
72,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 73:[83, 11], Operations: ['3+64=67', '67-56=11']
Exploring Operation: 83-11=72, Resulting Numbers: [72]
72,73 unequal: No Solution
Exploring Operation: 83*11=913, Resulting Numbers: [913]
913,73 unequal: No Solution
Exploring Operation: 83+11=94, Resulting Numbers: [94]
94,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 73:[56, 16], Operations: ['3+64=67', '83-67=16']
Exploring Operation: 56-16=40, Resulting Numbers: [40]
40,73 unequal: No Solution
Exploring Operation: 56+16=72, Resulting Numbers: [72]
72,73 unequal: No Solution
Exploring Operation: 56*16=896, Resulting Numbers: [896]
896,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 73:[56, 64, 80], Operations: ['83-3=80']
Exploring Operation: 64-56=8, Resulting Numbers: [80, 8]
Generated Node #0,3,0: 73:[80, 8] Operation: 64-56=8
Exploring Operation: 56+80=136, Resulting Numbers: [64, 136]
Generated Node #0,3,1: 73:[64, 136] Operation: 56+80=136
Exploring Operation: 56+64=120, Resulting Numbers: [80, 120]
Generated Node #0,3,2: 73:[80, 120] Operation: 56+64=120
Exploring Operation: 80-64=16, Resulting Numbers: [56, 16]
Generated Node #0,3,3: 73:[56, 16] Operation: 80-64=16
Exploring Operation: 80-56=24, Resulting Numbers: [64, 24]
Generated Node #0,3,4: 73:[64, 24] Operation: 80-56=24
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 73:[80, 120], Operations: ['83-3=80', '56+64=120']
Exploring Operation: 120-80=40, Resulting Numbers: [40]
40,73 unequal: No Solution
Exploring Operation: 80+120=200, Resulting Numbers: [200]
200,73 unequal: No Solution
Exploring Operation: 80*120=9600, Resulting Numbers: [9600]
9600,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 73:[64, 24], Operations: ['83-3=80', '80-56=24']
Exploring Operation: 64-24=40, Resulting Numbers: [40]
40,73 unequal: No Solution
Exploring Operation: 64+24=88, Resulting Numbers: [88]
88,73 unequal: No Solution
Exploring Operation: 64*24=1536, Resulting Numbers: [1536]
1536,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 73:[80, 8], Operations: ['83-3=80', '64-56=8']
Exploring Operation: 80*8=640, Resulting Numbers: [640]
640,73 unequal: No Solution
Exploring Operation: 80+8=88, Resulting Numbers: [88]
88,73 unequal: No Solution
Exploring Operation: 80-8=72, Resulting Numbers: [72]
72,73 unequal: No Solution
Exploring Operation: 80/8=10, Resulting Numbers: [10]
10,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 73:[64, 136], Operations: ['83-3=80', '56+80=136']
Exploring Operation: 64*136=8704, Resulting Numbers: [8704]
8704,73 unequal: No Solution
Exploring Operation: 64+136=200, Resulting Numbers: [200]
200,73 unequal: No Solution
Exploring Operation: 136-64=72, Resulting Numbers: [72]
72,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 73:[56, 16], Operations: ['83-3=80', '80-64=16']
Exploring Operation: 56-16=40, Resulting Numbers: [40]
40,73 unequal: No Solution
Exploring Operation: 56*16=896, Resulting Numbers: [896]
896,73 unequal: No Solution
Exploring Operation: 56+16=72, Resulting Numbers: [72]
72,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[56, 83, 61], Operations: ['64-3=61']
Exploring Operation: 83-61=22, Resulting Numbers: [56, 22]
Generated Node #0,0,0: 73:[56, 22] Operation: 83-61=22
Exploring Operation: 56+83=139, Resulting Numbers: [61, 139]
Generated Node #0,0,1: 73:[61, 139] Operation: 56+83=139
Exploring Operation: 61-56=5, Resulting Numbers: [83, 5]
Generated Node #0,0,2: 73:[83, 5] Operation: 61-56=5
Exploring Operation: 83-56=27, Resulting Numbers: [61, 27]
Generated Node #0,0,3: 73:[61, 27] Operation: 83-56=27
Exploring Operation: 56+61=117, Resulting Numbers: [83, 117]
Generated Node #0,0,4: 73:[83, 117] Operation: 56+61=117
Moving to Node #0,0,4
Current State: 73:[83, 117], Operations: ['64-3=61', '56+61=117']
Exploring Operation: 83+117=200, Resulting Numbers: [200]
200,73 unequal: No Solution
Exploring Operation: 83*117=9711, Resulting Numbers: [9711]
9711,73 unequal: No Solution
Exploring Operation: 117-83=34, Resulting Numbers: [34]
34,73 unequal: No Solution
Moving to Node #0,0,3
Current State: 73:[61, 27], Operations: ['64-3=61', '83-56=27']
Exploring Operation: 61*27=1647, Resulting Numbers: [1647]
1647,73 unequal: No Solution
Exploring Operation: 61-27=34, Resulting Numbers: [34]
34,73 unequal: No Solution
Exploring Operation: 61+27=88, Resulting Numbers: [88]
88,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[56, 22], Operations: ['64-3=61', '83-61=22']
Exploring Operation: 56*22=1232, Resulting Numbers: [1232]
1232,73 unequal: No Solution
Exploring Operation: 56-22=34, Resulting Numbers: [34]
34,73 unequal: No Solution
Exploring Operation: 56+22=78, Resulting Numbers: [78]
78,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[61, 139], Operations: ['64-3=61', '56+83=139']
Exploring Operation: 61*139=8479, Resulting Numbers: [8479]
8479,73 unequal: No Solution
Exploring Operation: 61+139=200, Resulting Numbers: [200]
200,73 unequal: No Solution
Exploring Operation: 139-61=78, Resulting Numbers: [78]
78,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[83, 5], Operations: ['64-3=61', '61-56=5']
Exploring Operation: 83*5=415, Resulting Numbers: [415]
415,73 unequal: No Solution
Exploring Operation: 83+5=88, Resulting Numbers: [88]
88,73 unequal: No Solution
Exploring Operation: 83-5=78, Resulting Numbers: [78]
78,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 73:[64, 83, 53], Operations: ['56-3=53']
Exploring Operation: 83-53=30, Resulting Numbers: [64, 30]
Generated Node #0,4,0: 73:[64, 30] Operation: 83-53=30
Exploring Operation: 64+53=117, Resulting Numbers: [83, 117]
Generated Node #0,4,1: 73:[83, 117] Operation: 64+53=117
Exploring Operation: 83-64=19, Resulting Numbers: [53, 19]
Generated Node #0,4,2: 73:[53, 19] Operation: 83-64=19
Exploring Operation: 64-53=11, Resulting Numbers: [83, 11]
Generated Node #0,4,3: 73:[83, 11] Operation: 64-53=11
Exploring Operation: 83+53=136, Resulting Numbers: [64, 136]
Generated Node #0,4,4: 73:[64, 136] Operation: 83+53=136
Moving to Node #0,4,0
Current State: 73:[64, 30], Operations: ['56-3=53', '83-53=30']
Exploring Operation: 64-30=34, Resulting Numbers: [34]
34,73 unequal: No Solution
Exploring Operation: 64*30=1920, Resulting Numbers: [1920]
1920,73 unequal: No Solution
Exploring Operation: 64+30=94, Resulting Numbers: [94]
94,73 unequal: No Solution
Moving to Node #0,4,1
Current State: 73:[83, 117], Operations: ['56-3=53', '64+53=117']
Exploring Operation: 83+117=200, Resulting Numbers: [200]
200,73 unequal: No Solution
Exploring Operation: 83*117=9711, Resulting Numbers: [9711]
9711,73 unequal: No Solution
Exploring Operation: 117-83=34, Resulting Numbers: [34]
34,73 unequal: No Solution
Moving to Node #0,4,3
Current State: 73:[83, 11], Operations: ['56-3=53', '64-53=11']
Exploring Operation: 83-11=72, Resulting Numbers: [72]
72,73 unequal: No Solution
Exploring Operation: 83*11=913, Resulting Numbers: [913]
913,73 unequal: No Solution
Exploring Operation: 83+11=94, Resulting Numbers: [94]
94,73 unequal: No Solution
Moving to Node #0,4,4
Current State: 73:[64, 136], Operations: ['56-3=53', '83+53=136']
Exploring Operation: 64+136=200, Resulting Numbers: [200]
200,73 unequal: No Solution
Exploring Operation: 64*136=8704, Resulting Numbers: [8704]
8704,73 unequal: No Solution
Exploring Operation: 136-64=72, Resulting Numbers: [72]
72,73 unequal: No Solution
Moving to Node #0,4,2
Current State: 73:[53, 19], Operations: ['56-3=53', '83-64=19']
Exploring Operation: 53*19=1007, Resulting Numbers: [1007]
1007,73 unequal: No Solution
Exploring Operation: 53+19=72, Resulting Numbers: [72]
72,73 unequal: No Solution
Exploring Operation: 53-19=34, Resulting Numbers: [34]
34,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
96,
75,
10,
5
] | 29 | [
"96-75=21",
"10*5=50",
"50-21=29"
] | Current State: 29:[96, 75, 10, 5], Operations: []
Exploring Operation: 96-75=21, Resulting Numbers: [10, 5, 21]
Generated Node #2: [10, 5, 21] from Operation: 96-75=21
Current State: 29:[10, 5, 21], Operations: ['96-75=21']
Exploring Operation: 10*5=50, Resulting Numbers: [21, 50]
Generated Node #3: [21, 50] from Operation: 10*5=50
Current State: 29:[21, 50], Operations: ['96-75=21', '10*5=50']
Exploring Operation: 50-21=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[96, 75, 10, 5], Operations: []
Exploring Operation: 96-75=21, Resulting Numbers: [10, 5, 21]
Generated Node #0,0: 29:[10, 5, 21] Operation: 96-75=21
Exploring Operation: 96-5=91, Resulting Numbers: [75, 10, 91]
Generated Node #0,1: 29:[75, 10, 91] Operation: 96-5=91
Exploring Operation: 75/5=15, Resulting Numbers: [96, 10, 15]
Generated Node #0,2: 29:[96, 10, 15] Operation: 75/5=15
Exploring Operation: 96-10=86, Resulting Numbers: [75, 5, 86]
Generated Node #0,3: 29:[75, 5, 86] Operation: 96-10=86
Moving to Node #0,0
Current State: 29:[10, 5, 21], Operations: ['96-75=21']
Exploring Operation: 10+21=31, Resulting Numbers: [5, 31]
Generated Node #0,0,0: 29:[5, 31] Operation: 10+21=31
Exploring Operation: 10+5=15, Resulting Numbers: [21, 15]
Generated Node #0,0,1: 29:[21, 15] Operation: 10+5=15
Exploring Operation: 10*5=50, Resulting Numbers: [21, 50]
Generated Node #0,0,2: 29:[21, 50] Operation: 10*5=50
Exploring Operation: 5+21=26, Resulting Numbers: [10, 26]
Generated Node #0,0,3: 29:[10, 26] Operation: 5+21=26
Moving to Node #0,2
Current State: 29:[96, 10, 15], Operations: ['75/5=15']
Exploring Operation: 96-15=81, Resulting Numbers: [10, 81]
Generated Node #0,2,0: 29:[10, 81] Operation: 96-15=81
Exploring Operation: 96+10=106, Resulting Numbers: [15, 106]
Generated Node #0,2,1: 29:[15, 106] Operation: 96+10=106
Exploring Operation: 96-10=86, Resulting Numbers: [15, 86]
Generated Node #0,2,2: 29:[15, 86] Operation: 96-10=86
Exploring Operation: 10+15=25, Resulting Numbers: [96, 25]
Generated Node #0,2,3: 29:[96, 25] Operation: 10+15=25
Moving to Node #0,3
Current State: 29:[75, 5, 86], Operations: ['96-10=86']
Exploring Operation: 86-75=11, Resulting Numbers: [5, 11]
Generated Node #0,3,0: 29:[5, 11] Operation: 86-75=11
Exploring Operation: 75-5=70, Resulting Numbers: [86, 70]
Generated Node #0,3,1: 29:[86, 70] Operation: 75-5=70
Exploring Operation: 75/5=15, Resulting Numbers: [86, 15]
Generated Node #0,3,2: 29:[86, 15] Operation: 75/5=15
Exploring Operation: 86-5=81, Resulting Numbers: [75, 81]
Generated Node #0,3,3: 29:[75, 81] Operation: 86-5=81
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 29:[5, 11], Operations: ['96-10=86', '86-75=11']
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,29 unequal: No Solution
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,29 unequal: No Solution
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 29:[86, 15], Operations: ['96-10=86', '75/5=15']
Exploring Operation: 86*15=1290, Resulting Numbers: [1290]
1290,29 unequal: No Solution
Exploring Operation: 86+15=101, Resulting Numbers: [101]
101,29 unequal: No Solution
Exploring Operation: 86-15=71, Resulting Numbers: [71]
71,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 29:[86, 70], Operations: ['96-10=86', '75-5=70']
Exploring Operation: 86+70=156, Resulting Numbers: [156]
156,29 unequal: No Solution
Exploring Operation: 86*70=6020, Resulting Numbers: [6020]
6020,29 unequal: No Solution
Exploring Operation: 86-70=16, Resulting Numbers: [16]
16,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 29:[75, 81], Operations: ['96-10=86', '86-5=81']
Exploring Operation: 75+81=156, Resulting Numbers: [156]
156,29 unequal: No Solution
Exploring Operation: 81-75=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 75*81=6075, Resulting Numbers: [6075]
6075,29 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: 29:[75, 10, 91], Operations: ['96-5=91']
Exploring Operation: 91-10=81, Resulting Numbers: [75, 81]
Generated Node #0,1,0: 29:[75, 81] Operation: 91-10=81
Exploring Operation: 75-10=65, Resulting Numbers: [91, 65]
Generated Node #0,1,1: 29:[91, 65] Operation: 75-10=65
Exploring Operation: 75+10=85, Resulting Numbers: [91, 85]
Generated Node #0,1,2: 29:[91, 85] Operation: 75+10=85
Exploring Operation: 91-75=16, Resulting Numbers: [10, 16]
Generated Node #0,1,3: 29:[10, 16] Operation: 91-75=16
Moving to Node #0,0,1
Current State: 29:[21, 15], Operations: ['96-75=21', '10+5=15']
Exploring Operation: 21+15=36, Resulting Numbers: [36]
36,29 unequal: No Solution
Exploring Operation: 21*15=315, Resulting Numbers: [315]
315,29 unequal: No Solution
Exploring Operation: 21-15=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Moving to Node #0,0,3
Current State: 29:[10, 26], Operations: ['96-75=21', '5+21=26']
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,29 unequal: No Solution
Exploring Operation: 10*26=260, Resulting Numbers: [260]
260,29 unequal: No Solution
Exploring Operation: 10+26=36, Resulting Numbers: [36]
36,29 unequal: No Solution
Moving to Node #0,0,0
Current State: 29:[5, 31], Operations: ['96-75=21', '10+21=31']
Exploring Operation: 5+31=36, Resulting Numbers: [36]
36,29 unequal: No Solution
Exploring Operation: 5*31=155, Resulting Numbers: [155]
155,29 unequal: No Solution
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Moving to Node #0,0,2
Current State: 29:[21, 50], Operations: ['96-75=21', '10*5=50']
Exploring Operation: 21*50=1050, Resulting Numbers: [1050]
1050,29 unequal: No Solution
Exploring Operation: 21+50=71, Resulting Numbers: [71]
71,29 unequal: No Solution
Exploring Operation: 50-21=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[96, 75, 10, 5], Operations: []
Exploring Operation: 96-75=21, Resulting Numbers: [10, 5, 21]
Generated Node #0,0: 29:[10, 5, 21] Operation: 96-75=21
Moving to Node #0,0
Current State: 29:[10, 5, 21], Operations: ['96-75=21']
Exploring Operation: 10*5=50, Resulting Numbers: [21, 50]
Generated Node #0,0,2: 29:[21, 50] Operation: 10*5=50
Moving to Node #0,0,2
Current State: 29:[21, 50], Operations: ['96-75=21', '10*5=50']
Exploring Operation: 50-21=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 0.958333 | hs_4 | sum_heuristic |
[
38,
40,
15,
19
] | 35 | [
"38/19=2",
"40/2=20",
"15+20=35"
] | Current State: 35:[38, 40, 15, 19], Operations: []
Exploring Operation: 38/19=2, Resulting Numbers: [40, 15, 2]
Generated Node #2: [40, 15, 2] from Operation: 38/19=2
Current State: 35:[40, 15, 2], Operations: ['38/19=2']
Exploring Operation: 40/2=20, Resulting Numbers: [15, 20]
Generated Node #3: [15, 20] from Operation: 40/2=20
Current State: 35:[15, 20], Operations: ['38/19=2', '40/2=20']
Exploring Operation: 15+20=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[38, 40, 15, 19], Operations: []
Exploring Operation: 19-15=4, Resulting Numbers: [38, 40, 4]
Generated Node #0,0: 35:[38, 40, 4] Operation: 19-15=4
Exploring Operation: 15+19=34, Resulting Numbers: [38, 40, 34]
Generated Node #0,1: 35:[38, 40, 34] Operation: 15+19=34
Moving to Node #0,0
Current State: 35:[38, 40, 4], Operations: ['19-15=4']
Exploring Operation: 40-4=36, Resulting Numbers: [38, 36]
Generated Node #0,0,0: 35:[38, 36] Operation: 40-4=36
Exploring Operation: 40-38=2, Resulting Numbers: [4, 2]
Generated Node #0,0,1: 35:[4, 2] Operation: 40-38=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 35:[38, 36], Operations: ['19-15=4', '40-4=36']
Exploring Operation: 38-36=2, Resulting Numbers: [2]
2,35 unequal: No Solution
Exploring Operation: 38+36=74, Resulting Numbers: [74]
74,35 unequal: No Solution
No 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: 35:[4, 2], Operations: ['19-15=4', '40-38=2']
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,35 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: 35:[38, 40, 34], Operations: ['15+19=34']
Exploring Operation: 40-34=6, Resulting Numbers: [38, 6]
Generated Node #0,1,0: 35:[38, 6] Operation: 40-34=6
Exploring Operation: 40-38=2, Resulting Numbers: [34, 2]
Generated Node #0,1,1: 35:[34, 2] Operation: 40-38=2
Moving to Node #0,1,0
Current State: 35:[38, 6], Operations: ['15+19=34', '40-34=6']
Exploring Operation: 38-6=32, Resulting Numbers: [32]
32,35 unequal: No Solution
Exploring Operation: 38+6=44, Resulting Numbers: [44]
44,35 unequal: No Solution
Moving to Node #0,1,1
Current State: 35:[34, 2], Operations: ['15+19=34', '40-38=2']
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,35 unequal: No Solution
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,35 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
6,
82,
78,
95
] | 93 | [
"82-6=76",
"95-78=17",
"76+17=93"
] | Current State: 93:[6, 82, 78, 95], Operations: []
Exploring Operation: 82-6=76, Resulting Numbers: [78, 95, 76]
Generated Node #2: [78, 95, 76] from Operation: 82-6=76
Current State: 93:[78, 95, 76], Operations: ['82-6=76']
Exploring Operation: 95-78=17, Resulting Numbers: [76, 17]
Generated Node #3: [76, 17] from Operation: 95-78=17
Current State: 93:[76, 17], Operations: ['82-6=76', '95-78=17']
Exploring Operation: 76+17=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[6, 82, 78, 95], Operations: []
Exploring Operation: 82-78=4, Resulting Numbers: [6, 95, 4]
Generated Node #0,0: 93:[6, 95, 4] Operation: 82-78=4
Exploring Operation: 6+78=84, Resulting Numbers: [82, 95, 84]
Generated Node #0,1: 93:[82, 95, 84] Operation: 6+78=84
Exploring Operation: 6+82=88, Resulting Numbers: [78, 95, 88]
Generated Node #0,2: 93:[78, 95, 88] Operation: 6+82=88
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[6, 95, 4], Operations: ['82-78=4']
Exploring Operation: 95-6=89, Resulting Numbers: [4, 89]
Generated Node #0,0,0: 93:[4, 89] Operation: 95-6=89
Exploring Operation: 6-4=2, Resulting Numbers: [95, 2]
Generated Node #0,0,1: 93:[95, 2] Operation: 6-4=2
Exploring Operation: 95-4=91, Resulting Numbers: [6, 91]
Generated Node #0,0,2: 93:[6, 91] Operation: 95-4=91
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 93:[95, 2], Operations: ['82-78=4', '6-4=2']
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[6, 82, 78, 95], Operations: []
Exploring Operation: 82-78=4, Resulting Numbers: [6, 95, 4]
Generated Node #0,0: 93:[6, 95, 4] Operation: 82-78=4
Moving to Node #0,0
Current State: 93:[6, 95, 4], Operations: ['82-78=4']
Exploring Operation: 6-4=2, Resulting Numbers: [95, 2]
Generated Node #0,0,1: 93:[95, 2] Operation: 6-4=2
Moving to Node #0,0,1
Current State: 93:[95, 2], Operations: ['82-78=4', '6-4=2']
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
3,
91,
30,
39
] | 74 | [
"39/3=13",
"91-30=61",
"13+61=74"
] | Current State: 74:[3, 91, 30, 39], Operations: []
Exploring Operation: 39/3=13, Resulting Numbers: [91, 30, 13]
Generated Node #2: [91, 30, 13] from Operation: 39/3=13
Current State: 74:[91, 30, 13], Operations: ['39/3=13']
Exploring Operation: 91-30=61, Resulting Numbers: [13, 61]
Generated Node #3: [13, 61] from Operation: 91-30=61
Current State: 74:[13, 61], Operations: ['39/3=13', '91-30=61']
Exploring Operation: 13+61=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[3, 91, 30, 39], Operations: []
Exploring Operation: 91-30=61, Resulting Numbers: [3, 39, 61]
Generated Node #0,0: 74:[3, 39, 61] Operation: 91-30=61
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[3, 39, 61], Operations: ['91-30=61']
Exploring Operation: 3+61=64, Resulting Numbers: [39, 64]
Generated Node #0,0,0: 74:[39, 64] Operation: 3+61=64
Moving to Node #0,0,0
Current State: 74:[39, 64], Operations: ['91-30=61', '3+61=64']
Exploring Operation: 64-39=25, Resulting Numbers: [25]
25,74 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 |
[
52,
47,
82,
7
] | 24 | [
"52+47=99",
"82-7=75",
"99-75=24"
] | Current State: 24:[52, 47, 82, 7], Operations: []
Exploring Operation: 52+47=99, Resulting Numbers: [82, 7, 99]
Generated Node #2: [82, 7, 99] from Operation: 52+47=99
Current State: 24:[82, 7, 99], Operations: ['52+47=99']
Exploring Operation: 82-7=75, Resulting Numbers: [99, 75]
Generated Node #3: [99, 75] from Operation: 82-7=75
Current State: 24:[99, 75], Operations: ['52+47=99', '82-7=75']
Exploring Operation: 99-75=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[52, 47, 82, 7], Operations: []
Exploring Operation: 82-52=30, Resulting Numbers: [47, 7, 30]
Generated Node #0,0: 24:[47, 7, 30] Operation: 82-52=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[47, 7, 30], Operations: ['82-52=30']
Exploring Operation: 47-30=17, Resulting Numbers: [7, 17]
Generated Node #0,0,0: 24:[7, 17] Operation: 47-30=17
Moving to Node #0,0,0
Current State: 24:[7, 17], Operations: ['82-52=30', '47-30=17']
Exploring Operation: 7+17=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[52, 47, 82, 7], Operations: []
Exploring Operation: 82-52=30, Resulting Numbers: [47, 7, 30]
Generated Node #0,0: 24:[47, 7, 30] Operation: 82-52=30
Moving to Node #0,0
Current State: 24:[47, 7, 30], Operations: ['82-52=30']
Exploring Operation: 47-30=17, Resulting Numbers: [7, 17]
Generated Node #0,0,0: 24:[7, 17] Operation: 47-30=17
Moving to Node #0,0,0
Current State: 24:[7, 17], Operations: ['82-52=30', '47-30=17']
Exploring Operation: 7+17=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
26,
50,
13,
40
] | 92 | [
"26/13=2",
"50+40=90",
"2+90=92"
] | Current State: 92:[26, 50, 13, 40], Operations: []
Exploring Operation: 26/13=2, Resulting Numbers: [50, 40, 2]
Generated Node #2: [50, 40, 2] from Operation: 26/13=2
Current State: 92:[50, 40, 2], Operations: ['26/13=2']
Exploring Operation: 50+40=90, Resulting Numbers: [2, 90]
Generated Node #3: [2, 90] from Operation: 50+40=90
Current State: 92:[2, 90], Operations: ['26/13=2', '50+40=90']
Exploring Operation: 2+90=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[26, 50, 13, 40], Operations: []
Exploring Operation: 26/13=2, Resulting Numbers: [50, 40, 2]
Generated Node #0,0: 92:[50, 40, 2] Operation: 26/13=2
Exploring Operation: 50+40=90, Resulting Numbers: [26, 13, 90]
Generated Node #0,1: 92:[26, 13, 90] Operation: 50+40=90
Exploring Operation: 50-26=24, Resulting Numbers: [13, 40, 24]
Generated Node #0,2: 92:[13, 40, 24] Operation: 50-26=24
Exploring Operation: 40-13=27, Resulting Numbers: [26, 50, 27]
Generated Node #0,3: 92:[26, 50, 27] Operation: 40-13=27
Exploring Operation: 13+40=53, Resulting Numbers: [26, 50, 53]
Generated Node #0,4: 92:[26, 50, 53] Operation: 13+40=53
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[50, 40, 2], Operations: ['26/13=2']
Exploring Operation: 50-2=48, Resulting Numbers: [40, 48]
Generated Node #0,0,0: 92:[40, 48] Operation: 50-2=48
Exploring Operation: 50/2=25, Resulting Numbers: [40, 25]
Generated Node #0,0,1: 92:[40, 25] Operation: 50/2=25
Exploring Operation: 50-40=10, Resulting Numbers: [2, 10]
Generated Node #0,0,2: 92:[2, 10] Operation: 50-40=10
Exploring Operation: 50+40=90, Resulting Numbers: [2, 90]
Generated Node #0,0,3: 92:[2, 90] Operation: 50+40=90
Exploring Operation: 40/2=20, Resulting Numbers: [50, 20]
Generated Node #0,0,4: 92:[50, 20] Operation: 40/2=20
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 92:[2, 90], Operations: ['26/13=2', '50+40=90']
Exploring Operation: 2+90=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[26, 50, 13, 40], Operations: []
Exploring Operation: 26/13=2, Resulting Numbers: [50, 40, 2]
Generated Node #0,0: 92:[50, 40, 2] Operation: 26/13=2
Moving to Node #0,0
Current State: 92:[50, 40, 2], Operations: ['26/13=2']
Exploring Operation: 50+40=90, Resulting Numbers: [2, 90]
Generated Node #0,0,3: 92:[2, 90] Operation: 50+40=90
Moving to Node #0,0,3
Current State: 92:[2, 90], Operations: ['26/13=2', '50+40=90']
Exploring Operation: 2+90=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
21,
4,
60,
63
] | 96 | [
"60-21=39",
"63-39=24",
"4*24=96"
] | Current State: 96:[21, 4, 60, 63], Operations: []
Exploring Operation: 60-21=39, Resulting Numbers: [4, 63, 39]
Generated Node #2: [4, 63, 39] from Operation: 60-21=39
Current State: 96:[4, 63, 39], Operations: ['60-21=39']
Exploring Operation: 63-39=24, Resulting Numbers: [4, 24]
Generated Node #3: [4, 24] from Operation: 63-39=24
Current State: 96:[4, 24], Operations: ['60-21=39', '63-39=24']
Exploring Operation: 4*24=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[21, 4, 60, 63], Operations: []
Exploring Operation: 63/21=3, Resulting Numbers: [4, 60, 3]
Generated Node #0,0: 96:[4, 60, 3] Operation: 63/21=3
Exploring Operation: 63-60=3, Resulting Numbers: [21, 4, 3]
Generated Node #0,1: 96:[21, 4, 3] Operation: 63-60=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[21, 4, 3], Operations: ['63-60=3']
Exploring Operation: 21+4=25, Resulting Numbers: [3, 25]
Generated Node #0,1,0: 96:[3, 25] Operation: 21+4=25
Exploring Operation: 21+3=24, Resulting Numbers: [4, 24]
Generated Node #0,1,1: 96:[4, 24] Operation: 21+3=24
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 96:[4, 24], Operations: ['63-60=3', '21+3=24']
Exploring Operation: 4*24=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[21, 4, 60, 63], Operations: []
Exploring Operation: 63-60=3, Resulting Numbers: [21, 4, 3]
Generated Node #0,1: 96:[21, 4, 3] Operation: 63-60=3
Moving to Node #0,1
Current State: 96:[21, 4, 3], Operations: ['63-60=3']
Exploring Operation: 21+3=24, Resulting Numbers: [4, 24]
Generated Node #0,1,1: 96:[4, 24] Operation: 21+3=24
Moving to Node #0,1,1
Current State: 96:[4, 24], Operations: ['63-60=3', '21+3=24']
Exploring Operation: 4*24=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
57,
29,
45,
51
] | 58 | [
"57+45=102",
"29*102=2958",
"2958/51=58"
] | Current State: 58:[57, 29, 45, 51], Operations: []
Exploring Operation: 57+45=102, Resulting Numbers: [29, 51, 102]
Generated Node #2: [29, 51, 102] from Operation: 57+45=102
Current State: 58:[29, 51, 102], Operations: ['57+45=102']
Exploring Operation: 29*102=2958, Resulting Numbers: [51, 2958]
Generated Node #3: [51, 2958] from Operation: 29*102=2958
Current State: 58:[51, 2958], Operations: ['57+45=102', '29*102=2958']
Exploring Operation: 2958/51=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[57, 29, 45, 51], Operations: []
Exploring Operation: 45-29=16, Resulting Numbers: [57, 51, 16]
Generated Node #0,0: 58:[57, 51, 16] Operation: 45-29=16
Exploring Operation: 57-29=28, Resulting Numbers: [45, 51, 28]
Generated Node #0,1: 58:[45, 51, 28] Operation: 57-29=28
Exploring Operation: 51-45=6, Resulting Numbers: [57, 29, 6]
Generated Node #0,2: 58:[57, 29, 6] Operation: 51-45=6
Exploring Operation: 57-51=6, Resulting Numbers: [29, 45, 6]
Generated Node #0,3: 58:[29, 45, 6] Operation: 57-51=6
Exploring Operation: 57-45=12, Resulting Numbers: [29, 51, 12]
Generated Node #0,4: 58:[29, 51, 12] Operation: 57-45=12
Moving to Node #0,2
Current State: 58:[57, 29, 6], Operations: ['51-45=6']
Exploring Operation: 29+6=35, Resulting Numbers: [57, 35]
Generated Node #0,2,0: 58:[57, 35] Operation: 29+6=35
Exploring Operation: 29-6=23, Resulting Numbers: [57, 23]
Generated Node #0,2,1: 58:[57, 23] Operation: 29-6=23
Exploring Operation: 57-29=28, Resulting Numbers: [6, 28]
Generated Node #0,2,2: 58:[6, 28] Operation: 57-29=28
Exploring Operation: 57+6=63, Resulting Numbers: [29, 63]
Generated Node #0,2,3: 58:[29, 63] Operation: 57+6=63
Exploring Operation: 57-6=51, Resulting Numbers: [29, 51]
Generated Node #0,2,4: 58:[29, 51] Operation: 57-6=51
Moving to Node #0,4
Current State: 58:[29, 51, 12], Operations: ['57-45=12']
Exploring Operation: 29-12=17, Resulting Numbers: [51, 17]
Generated Node #0,4,0: 58:[51, 17] Operation: 29-12=17
Exploring Operation: 51+12=63, Resulting Numbers: [29, 63]
Generated Node #0,4,1: 58:[29, 63] Operation: 51+12=63
Exploring Operation: 29+12=41, Resulting Numbers: [51, 41]
Generated Node #0,4,2: 58:[51, 41] Operation: 29+12=41
Exploring Operation: 51-12=39, Resulting Numbers: [29, 39]
Generated Node #0,4,3: 58:[29, 39] Operation: 51-12=39
Exploring Operation: 51-29=22, Resulting Numbers: [12, 22]
Generated Node #0,4,4: 58:[12, 22] Operation: 51-29=22
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 58:[29, 63], Operations: ['57-45=12', '51+12=63']
Exploring Operation: 63-29=34, Resulting Numbers: [34]
34,58 unequal: No Solution
Exploring Operation: 29*63=1827, Resulting Numbers: [1827]
1827,58 unequal: No Solution
Exploring Operation: 29+63=92, Resulting Numbers: [92]
92,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 58:[29, 39], Operations: ['57-45=12', '51-12=39']
Exploring Operation: 39-29=10, Resulting Numbers: [10]
10,58 unequal: No Solution
Exploring Operation: 29*39=1131, Resulting Numbers: [1131]
1131,58 unequal: No Solution
Exploring Operation: 29+39=68, Resulting Numbers: [68]
68,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 58:[12, 22], Operations: ['57-45=12', '51-29=22']
Exploring Operation: 22-12=10, Resulting Numbers: [10]
10,58 unequal: No Solution
Exploring Operation: 12*22=264, Resulting Numbers: [264]
264,58 unequal: No Solution
Exploring Operation: 12+22=34, Resulting Numbers: [34]
34,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 58:[51, 17], Operations: ['57-45=12', '29-12=17']
Exploring Operation: 51+17=68, Resulting Numbers: [68]
68,58 unequal: No Solution
Exploring Operation: 51*17=867, Resulting Numbers: [867]
867,58 unequal: No Solution
Exploring Operation: 51/17=3, Resulting Numbers: [3]
3,58 unequal: No Solution
Exploring Operation: 51-17=34, Resulting Numbers: [34]
34,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 58:[51, 41], Operations: ['57-45=12', '29+12=41']
Exploring Operation: 51+41=92, Resulting Numbers: [92]
92,58 unequal: No Solution
Exploring Operation: 51*41=2091, Resulting Numbers: [2091]
2091,58 unequal: No Solution
Exploring Operation: 51-41=10, Resulting Numbers: [10]
10,58 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: 58:[29, 45, 6], Operations: ['57-51=6']
Exploring Operation: 29+6=35, Resulting Numbers: [45, 35]
Generated Node #0,3,0: 58:[45, 35] Operation: 29+6=35
Exploring Operation: 29-6=23, Resulting Numbers: [45, 23]
Generated Node #0,3,1: 58:[45, 23] Operation: 29-6=23
Exploring Operation: 45+6=51, Resulting Numbers: [29, 51]
Generated Node #0,3,2: 58:[29, 51] Operation: 45+6=51
Exploring Operation: 45-6=39, Resulting Numbers: [29, 39]
Generated Node #0,3,3: 58:[29, 39] Operation: 45-6=39
Exploring Operation: 45-29=16, Resulting Numbers: [6, 16]
Generated Node #0,3,4: 58:[6, 16] Operation: 45-29=16
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 58:[29, 51], Operations: ['57-51=6', '45+6=51']
Exploring Operation: 51-29=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Exploring Operation: 29+51=80, Resulting Numbers: [80]
80,58 unequal: No Solution
Exploring Operation: 29*51=1479, Resulting Numbers: [1479]
1479,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 58:[29, 39], Operations: ['57-51=6', '45-6=39']
Exploring Operation: 39-29=10, Resulting Numbers: [10]
10,58 unequal: No Solution
Exploring Operation: 29+39=68, Resulting Numbers: [68]
68,58 unequal: No Solution
Exploring Operation: 29*39=1131, Resulting Numbers: [1131]
1131,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 58:[6, 16], Operations: ['57-51=6', '45-29=16']
Exploring Operation: 6*16=96, Resulting Numbers: [96]
96,58 unequal: No Solution
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,58 unequal: No Solution
Exploring Operation: 6+16=22, Resulting Numbers: [22]
22,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 58:[45, 35], Operations: ['57-51=6', '29+6=35']
Exploring Operation: 45-35=10, Resulting Numbers: [10]
10,58 unequal: No Solution
Exploring Operation: 45+35=80, Resulting Numbers: [80]
80,58 unequal: No Solution
Exploring Operation: 45*35=1575, Resulting Numbers: [1575]
1575,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 58:[45, 23], Operations: ['57-51=6', '29-6=23']
Exploring Operation: 45-23=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Exploring Operation: 45+23=68, Resulting Numbers: [68]
68,58 unequal: No Solution
Exploring Operation: 45*23=1035, Resulting Numbers: [1035]
1035,58 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: 58:[57, 51, 16], Operations: ['45-29=16']
Exploring Operation: 57+16=73, Resulting Numbers: [51, 73]
Generated Node #0,0,0: 58:[51, 73] Operation: 57+16=73
Exploring Operation: 57-16=41, Resulting Numbers: [51, 41]
Generated Node #0,0,1: 58:[51, 41] Operation: 57-16=41
Exploring Operation: 51-16=35, Resulting Numbers: [57, 35]
Generated Node #0,0,2: 58:[57, 35] Operation: 51-16=35
Exploring Operation: 57-51=6, Resulting Numbers: [16, 6]
Generated Node #0,0,3: 58:[16, 6] Operation: 57-51=6
Exploring Operation: 51+16=67, Resulting Numbers: [57, 67]
Generated Node #0,0,4: 58:[57, 67] Operation: 51+16=67
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 58:[57, 35], Operations: ['45-29=16', '51-16=35']
Exploring Operation: 57-35=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Exploring Operation: 57+35=92, Resulting Numbers: [92]
92,58 unequal: No Solution
Exploring Operation: 57*35=1995, Resulting Numbers: [1995]
1995,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 58:[57, 67], Operations: ['45-29=16', '51+16=67']
Exploring Operation: 67-57=10, Resulting Numbers: [10]
10,58 unequal: No Solution
Exploring Operation: 57+67=124, Resulting Numbers: [124]
124,58 unequal: No Solution
Exploring Operation: 57*67=3819, Resulting Numbers: [3819]
3819,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 58:[16, 6], Operations: ['45-29=16', '57-51=6']
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,58 unequal: No Solution
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,58 unequal: No Solution
Exploring Operation: 16+6=22, Resulting Numbers: [22]
22,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 58:[51, 41], Operations: ['45-29=16', '57-16=41']
Exploring Operation: 51-41=10, Resulting Numbers: [10]
10,58 unequal: No Solution
Exploring Operation: 51*41=2091, Resulting Numbers: [2091]
2091,58 unequal: No Solution
Exploring Operation: 51+41=92, Resulting Numbers: [92]
92,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[51, 73], Operations: ['45-29=16', '57+16=73']
Exploring Operation: 51*73=3723, Resulting Numbers: [3723]
3723,58 unequal: No Solution
Exploring Operation: 51+73=124, Resulting Numbers: [124]
124,58 unequal: No Solution
Exploring Operation: 73-51=22, Resulting Numbers: [22]
22,58 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: 58:[45, 51, 28], Operations: ['57-29=28']
Exploring Operation: 45+28=73, Resulting Numbers: [51, 73]
Generated Node #0,1,0: 58:[51, 73] Operation: 45+28=73
Exploring Operation: 51-45=6, Resulting Numbers: [28, 6]
Generated Node #0,1,1: 58:[28, 6] Operation: 51-45=6
Exploring Operation: 51+28=79, Resulting Numbers: [45, 79]
Generated Node #0,1,2: 58:[45, 79] Operation: 51+28=79
Exploring Operation: 51-28=23, Resulting Numbers: [45, 23]
Generated Node #0,1,3: 58:[45, 23] Operation: 51-28=23
Exploring Operation: 45-28=17, Resulting Numbers: [51, 17]
Generated Node #0,1,4: 58:[51, 17] Operation: 45-28=17
Moving to Node #0,2,2
Current State: 58:[6, 28], Operations: ['51-45=6', '57-29=28']
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Exploring Operation: 6+28=34, Resulting Numbers: [34]
34,58 unequal: No Solution
Exploring Operation: 6*28=168, Resulting Numbers: [168]
168,58 unequal: No Solution
Moving to Node #0,1,1
Current State: 58:[28, 6], Operations: ['57-29=28', '51-45=6']
Exploring Operation: 28*6=168, Resulting Numbers: [168]
168,58 unequal: No Solution
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Exploring Operation: 28+6=34, Resulting Numbers: [34]
34,58 unequal: No Solution
Moving to Node #0,2,3
Current State: 58:[29, 63], Operations: ['51-45=6', '57+6=63']
Exploring Operation: 29*63=1827, Resulting Numbers: [1827]
1827,58 unequal: No Solution
Exploring Operation: 63-29=34, Resulting Numbers: [34]
34,58 unequal: No Solution
Exploring Operation: 29+63=92, Resulting Numbers: [92]
92,58 unequal: No Solution
Moving to Node #0,2,0
Current State: 58:[57, 35], Operations: ['51-45=6', '29+6=35']
Exploring Operation: 57+35=92, Resulting Numbers: [92]
92,58 unequal: No Solution
Exploring Operation: 57*35=1995, Resulting Numbers: [1995]
1995,58 unequal: No Solution
Exploring Operation: 57-35=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Moving to Node #0,2,4
Current State: 58:[29, 51], Operations: ['51-45=6', '57-6=51']
Exploring Operation: 51-29=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Exploring Operation: 29*51=1479, Resulting Numbers: [1479]
1479,58 unequal: No Solution
Exploring Operation: 29+51=80, Resulting Numbers: [80]
80,58 unequal: No Solution
Moving to Node #0,2,1
Current State: 58:[57, 23], Operations: ['51-45=6', '29-6=23']
Exploring Operation: 57*23=1311, Resulting Numbers: [1311]
1311,58 unequal: No Solution
Exploring Operation: 57+23=80, Resulting Numbers: [80]
80,58 unequal: No Solution
Exploring Operation: 57-23=34, Resulting Numbers: [34]
34,58 unequal: No Solution
Moving to Node #0,1,3
Current State: 58:[45, 23], Operations: ['57-29=28', '51-28=23']
Exploring Operation: 45*23=1035, Resulting Numbers: [1035]
1035,58 unequal: No Solution
Exploring Operation: 45-23=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Exploring Operation: 45+23=68, Resulting Numbers: [68]
68,58 unequal: No Solution
Moving to Node #0,1,4
Current State: 58:[51, 17], Operations: ['57-29=28', '45-28=17']
Exploring Operation: 51-17=34, Resulting Numbers: [34]
34,58 unequal: No Solution
Exploring Operation: 51/17=3, Resulting Numbers: [3]
3,58 unequal: No Solution
Exploring Operation: 51*17=867, Resulting Numbers: [867]
867,58 unequal: No Solution
Exploring Operation: 51+17=68, Resulting Numbers: [68]
68,58 unequal: No Solution
Moving to Node #0,1,0
Current State: 58:[51, 73], Operations: ['57-29=28', '45+28=73']
Exploring Operation: 51*73=3723, Resulting Numbers: [3723]
3723,58 unequal: No Solution
Exploring Operation: 73-51=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Exploring Operation: 51+73=124, Resulting Numbers: [124]
124,58 unequal: No Solution
Moving to Node #0,1,2
Current State: 58:[45, 79], Operations: ['57-29=28', '51+28=79']
Exploring Operation: 45+79=124, Resulting Numbers: [124]
124,58 unequal: No Solution
Exploring Operation: 79-45=34, Resulting Numbers: [34]
34,58 unequal: No Solution
Exploring Operation: 45*79=3555, Resulting Numbers: [3555]
3555,58 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
77,
66,
80,
28
] | 41 | [
"77-66=11",
"80-28=52",
"52-11=41"
] | Current State: 41:[77, 66, 80, 28], Operations: []
Exploring Operation: 77-66=11, Resulting Numbers: [80, 28, 11]
Generated Node #2: [80, 28, 11] from Operation: 77-66=11
Current State: 41:[80, 28, 11], Operations: ['77-66=11']
Exploring Operation: 80-28=52, Resulting Numbers: [11, 52]
Generated Node #3: [11, 52] from Operation: 80-28=52
Current State: 41:[11, 52], Operations: ['77-66=11', '80-28=52']
Exploring Operation: 52-11=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[77, 66, 80, 28], Operations: []
Exploring Operation: 80-28=52, Resulting Numbers: [77, 66, 52]
Generated Node #0,0: 41:[77, 66, 52] Operation: 80-28=52
Exploring Operation: 77-28=49, Resulting Numbers: [66, 80, 49]
Generated Node #0,1: 41:[66, 80, 49] Operation: 77-28=49
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[77, 66, 52], Operations: ['80-28=52']
Exploring Operation: 77-66=11, Resulting Numbers: [52, 11]
Generated Node #0,0,0: 41:[52, 11] Operation: 77-66=11
Exploring Operation: 77-52=25, Resulting Numbers: [66, 25]
Generated Node #0,0,1: 41:[66, 25] Operation: 77-52=25
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 41:[52, 11], Operations: ['80-28=52', '77-66=11']
Exploring Operation: 52+11=63, Resulting Numbers: [63]
63,41 unequal: No Solution
Exploring Operation: 52-11=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[77, 66, 80, 28], Operations: []
Exploring Operation: 80-28=52, Resulting Numbers: [77, 66, 52]
Generated Node #0,0: 41:[77, 66, 52] Operation: 80-28=52
Moving to Node #0,0
Current State: 41:[77, 66, 52], Operations: ['80-28=52']
Exploring Operation: 77-66=11, Resulting Numbers: [52, 11]
Generated Node #0,0,0: 41:[52, 11] Operation: 77-66=11
Moving to Node #0,0,0
Current State: 41:[52, 11], Operations: ['80-28=52', '77-66=11']
Exploring Operation: 52-11=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
74,
49,
15,
85
] | 95 | [
"74-49=25",
"85-15=70",
"25+70=95"
] | Current State: 95:[74, 49, 15, 85], Operations: []
Exploring Operation: 74-49=25, Resulting Numbers: [15, 85, 25]
Generated Node #2: [15, 85, 25] from Operation: 74-49=25
Current State: 95:[15, 85, 25], Operations: ['74-49=25']
Exploring Operation: 85-15=70, Resulting Numbers: [25, 70]
Generated Node #3: [25, 70] from Operation: 85-15=70
Current State: 95:[25, 70], Operations: ['74-49=25', '85-15=70']
Exploring Operation: 25+70=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[74, 49, 15, 85], Operations: []
Exploring Operation: 74-49=25, Resulting Numbers: [15, 85, 25]
Generated Node #0,0: 95:[15, 85, 25] Operation: 74-49=25
Moving to Node #0,0
Current State: 95:[15, 85, 25], Operations: ['74-49=25']
Exploring Operation: 15+85=100, Resulting Numbers: [25, 100]
Generated Node #0,0,0: 95:[25, 100] Operation: 15+85=100
Moving to Node #0,0,0
Current State: 95:[25, 100], Operations: ['74-49=25', '15+85=100']
Exploring Operation: 100/25=4, Resulting Numbers: [4]
4,95 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
4,
89,
45,
50
] | 21 | [
"89+45=134",
"134-50=84",
"84/4=21"
] | Current State: 21:[4, 89, 45, 50], Operations: []
Exploring Operation: 89+45=134, Resulting Numbers: [4, 50, 134]
Generated Node #2: [4, 50, 134] from Operation: 89+45=134
Current State: 21:[4, 50, 134], Operations: ['89+45=134']
Exploring Operation: 134-50=84, Resulting Numbers: [4, 84]
Generated Node #3: [4, 84] from Operation: 134-50=84
Current State: 21:[4, 84], Operations: ['89+45=134', '134-50=84']
Exploring Operation: 84/4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[4, 89, 45, 50], Operations: []
Exploring Operation: 50-45=5, Resulting Numbers: [4, 89, 5]
Generated Node #0,0: 21:[4, 89, 5] Operation: 50-45=5
Exploring Operation: 89-50=39, Resulting Numbers: [4, 45, 39]
Generated Node #0,1: 21:[4, 45, 39] Operation: 89-50=39
Exploring Operation: 89-45=44, Resulting Numbers: [4, 50, 44]
Generated Node #0,2: 21:[4, 50, 44] Operation: 89-45=44
Moving to Node #0,1
Current State: 21:[4, 45, 39], Operations: ['89-50=39']
Exploring Operation: 39-4=35, Resulting Numbers: [45, 35]
Generated Node #0,1,0: 21:[45, 35] Operation: 39-4=35
Exploring Operation: 45-4=41, Resulting Numbers: [39, 41]
Generated Node #0,1,1: 21:[39, 41] Operation: 45-4=41
Exploring Operation: 45-39=6, Resulting Numbers: [4, 6]
Generated Node #0,1,2: 21:[4, 6] Operation: 45-39=6
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 21:[4, 6], Operations: ['89-50=39', '45-39=6']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,21 unequal: No Solution
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,21 unequal: No Solution
No 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: 21:[45, 35], Operations: ['89-50=39', '39-4=35']
Exploring Operation: 45-35=10, Resulting Numbers: [10]
10,21 unequal: No Solution
Exploring Operation: 45+35=80, Resulting Numbers: [80]
80,21 unequal: No Solution
Exploring Operation: 45*35=1575, Resulting Numbers: [1575]
1575,21 unequal: No Solution
No 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: 21:[39, 41], Operations: ['89-50=39', '45-4=41']
Exploring Operation: 39*41=1599, Resulting Numbers: [1599]
1599,21 unequal: No Solution
Exploring Operation: 39+41=80, Resulting Numbers: [80]
80,21 unequal: No Solution
Exploring Operation: 41-39=2, Resulting Numbers: [2]
2,21 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: 21:[4, 50, 44], Operations: ['89-45=44']
Exploring Operation: 50-44=6, Resulting Numbers: [4, 6]
Generated Node #0,2,0: 21:[4, 6] Operation: 50-44=6
Exploring Operation: 44/4=11, Resulting Numbers: [50, 11]
Generated Node #0,2,1: 21:[50, 11] Operation: 44/4=11
Exploring Operation: 50-4=46, Resulting Numbers: [44, 46]
Generated Node #0,2,2: 21:[44, 46] Operation: 50-4=46
Moving to Node #0,0
Current State: 21:[4, 89, 5], Operations: ['50-45=5']
Exploring Operation: 89-5=84, Resulting Numbers: [4, 84]
Generated Node #0,0,0: 21:[4, 84] Operation: 89-5=84
Exploring Operation: 4*5=20, Resulting Numbers: [89, 20]
Generated Node #0,0,1: 21:[89, 20] Operation: 4*5=20
Exploring Operation: 89-4=85, Resulting Numbers: [5, 85]
Generated Node #0,0,2: 21:[5, 85] Operation: 89-4=85
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 21:[4, 84], Operations: ['50-45=5', '89-5=84']
Exploring Operation: 4+84=88, Resulting Numbers: [88]
88,21 unequal: No Solution
Exploring Operation: 84/4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[4, 89, 45, 50], Operations: []
Exploring Operation: 50-45=5, Resulting Numbers: [4, 89, 5]
Generated Node #0,0: 21:[4, 89, 5] Operation: 50-45=5
Moving to Node #0,0
Current State: 21:[4, 89, 5], Operations: ['50-45=5']
Exploring Operation: 89-5=84, Resulting Numbers: [4, 84]
Generated Node #0,0,0: 21:[4, 84] Operation: 89-5=84
Moving to Node #0,0,0
Current State: 21:[4, 84], Operations: ['50-45=5', '89-5=84']
Exploring Operation: 84/4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_3 | mult_heuristic |
[
36,
35,
71,
45
] | 46 | [
"36+35=71",
"71/71=1",
"45+1=46"
] | Current State: 46:[36, 35, 71, 45], Operations: []
Exploring Operation: 36+35=71, Resulting Numbers: [71, 45, 71]
Generated Node #2: [71, 45, 71] from Operation: 36+35=71
Current State: 46:[71, 45, 71], Operations: ['36+35=71']
Exploring Operation: 71/71=1, Resulting Numbers: [45, 1]
Generated Node #3: [45, 1] from Operation: 71/71=1
Current State: 46:[45, 1], Operations: ['36+35=71', '71/71=1']
Exploring Operation: 45+1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[36, 35, 71, 45], Operations: []
Exploring Operation: 71-36=35, Resulting Numbers: [35, 45, 35]
Generated Node #0,0: 46:[35, 45, 35] Operation: 71-36=35
Exploring Operation: 71-35=36, Resulting Numbers: [36, 45, 36]
Generated Node #0,1: 46:[36, 45, 36] Operation: 71-35=36
Moving to Node #0,1
Current State: 46:[36, 45, 36], Operations: ['71-35=36']
Exploring Operation: 36-36=0, Resulting Numbers: [45, 0]
Generated Node #0,1,0: 46:[45, 0] Operation: 36-36=0
Exploring Operation: 36/36=1, Resulting Numbers: [45, 1]
Generated Node #0,1,1: 46:[45, 1] Operation: 36/36=1
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 46:[45, 1], Operations: ['71-35=36', '36/36=1']
Exploring Operation: 45*1=45, Resulting Numbers: [45]
45,46 unequal: No Solution
Exploring Operation: 45+1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[36, 35, 71, 45], Operations: []
Exploring Operation: 71-35=36, Resulting Numbers: [36, 45, 36]
Generated Node #0,1: 46:[36, 45, 36] Operation: 71-35=36
Moving to Node #0,1
Current State: 46:[36, 45, 36], Operations: ['71-35=36']
Exploring Operation: 36/36=1, Resulting Numbers: [45, 1]
Generated Node #0,1,1: 46:[45, 1] Operation: 36/36=1
Moving to Node #0,1,1
Current State: 46:[45, 1], Operations: ['71-35=36', '36/36=1']
Exploring Operation: 45+1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
88,
28,
69,
31
] | 57 | [
"88-69=19",
"31-28=3",
"19*3=57"
] | Current State: 57:[88, 28, 69, 31], Operations: []
Exploring Operation: 88-69=19, Resulting Numbers: [28, 31, 19]
Generated Node #2: [28, 31, 19] from Operation: 88-69=19
Current State: 57:[28, 31, 19], Operations: ['88-69=19']
Exploring Operation: 31-28=3, Resulting Numbers: [19, 3]
Generated Node #3: [19, 3] from Operation: 31-28=3
Current State: 57:[19, 3], Operations: ['88-69=19', '31-28=3']
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[88, 28, 69, 31], Operations: []
Exploring Operation: 88-69=19, Resulting Numbers: [28, 31, 19]
Generated Node #0,0: 57:[28, 31, 19] Operation: 88-69=19
Moving to Node #0,0
Current State: 57:[28, 31, 19], Operations: ['88-69=19']
Exploring Operation: 31-28=3, Resulting Numbers: [19, 3]
Generated Node #0,0,0: 57:[19, 3] Operation: 31-28=3
Moving to Node #0,0,0
Current State: 57:[19, 3], Operations: ['88-69=19', '31-28=3']
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[88, 28, 69, 31], Operations: []
Exploring Operation: 88-69=19, Resulting Numbers: [28, 31, 19]
Generated Node #0,0: 57:[28, 31, 19] Operation: 88-69=19
Moving to Node #0,0
Current State: 57:[28, 31, 19], Operations: ['88-69=19']
Exploring Operation: 31-28=3, Resulting Numbers: [19, 3]
Generated Node #0,0,0: 57:[19, 3] Operation: 31-28=3
Moving to Node #0,0,0
Current State: 57:[19, 3], Operations: ['88-69=19', '31-28=3']
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
58,
71,
3,
34
] | 77 | [
"58+71=129",
"129/3=43",
"34+43=77"
] | Current State: 77:[58, 71, 3, 34], Operations: []
Exploring Operation: 58+71=129, Resulting Numbers: [3, 34, 129]
Generated Node #2: [3, 34, 129] from Operation: 58+71=129
Current State: 77:[3, 34, 129], Operations: ['58+71=129']
Exploring Operation: 129/3=43, Resulting Numbers: [34, 43]
Generated Node #3: [34, 43] from Operation: 129/3=43
Current State: 77:[34, 43], Operations: ['58+71=129', '129/3=43']
Exploring Operation: 34+43=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[58, 71, 3, 34], Operations: []
Exploring Operation: 58-34=24, Resulting Numbers: [71, 3, 24]
Generated Node #0,0: 77:[71, 3, 24] Operation: 58-34=24
Exploring Operation: 71-58=13, Resulting Numbers: [3, 34, 13]
Generated Node #0,1: 77:[3, 34, 13] Operation: 71-58=13
Exploring Operation: 58+34=92, Resulting Numbers: [71, 3, 92]
Generated Node #0,2: 77:[71, 3, 92] Operation: 58+34=92
Moving to Node #0,0
Current State: 77:[71, 3, 24], Operations: ['58-34=24']
Exploring Operation: 24/3=8, Resulting Numbers: [71, 8]
Generated Node #0,0,0: 77:[71, 8] Operation: 24/3=8
Exploring Operation: 71+3=74, Resulting Numbers: [24, 74]
Generated Node #0,0,1: 77:[24, 74] Operation: 71+3=74
Exploring Operation: 3*24=72, Resulting Numbers: [71, 72]
Generated Node #0,0,2: 77:[71, 72] Operation: 3*24=72
Moving to Node #0,2
Current State: 77:[71, 3, 92], Operations: ['58+34=92']
Exploring Operation: 92-3=89, Resulting Numbers: [71, 89]
Generated Node #0,2,0: 77:[71, 89] Operation: 92-3=89
Exploring Operation: 71+3=74, Resulting Numbers: [92, 74]
Generated Node #0,2,1: 77:[92, 74] Operation: 71+3=74
Exploring Operation: 92-71=21, Resulting Numbers: [3, 21]
Generated Node #0,2,2: 77:[3, 21] Operation: 92-71=21
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 77:[3, 21], Operations: ['58+34=92', '92-71=21']
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,77 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,77 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,77 unequal: No Solution
No 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: 77:[71, 89], Operations: ['58+34=92', '92-3=89']
Exploring Operation: 71+89=160, Resulting Numbers: [160]
160,77 unequal: No Solution
Exploring Operation: 71*89=6319, Resulting Numbers: [6319]
6319,77 unequal: No Solution
Exploring Operation: 89-71=18, Resulting Numbers: [18]
18,77 unequal: No Solution
No 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: 77:[92, 74], Operations: ['58+34=92', '71+3=74']
Exploring Operation: 92-74=18, Resulting Numbers: [18]
18,77 unequal: No Solution
Exploring Operation: 92+74=166, Resulting Numbers: [166]
166,77 unequal: No Solution
Exploring Operation: 92*74=6808, Resulting Numbers: [6808]
6808,77 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: 77:[3, 34, 13], Operations: ['71-58=13']
Exploring Operation: 34-13=21, Resulting Numbers: [3, 21]
Generated Node #0,1,0: 77:[3, 21] Operation: 34-13=21
Exploring Operation: 13-3=10, Resulting Numbers: [34, 10]
Generated Node #0,1,1: 77:[34, 10] Operation: 13-3=10
Exploring Operation: 34-3=31, Resulting Numbers: [13, 31]
Generated Node #0,1,2: 77:[13, 31] Operation: 34-3=31
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 77:[3, 21], Operations: ['71-58=13', '34-13=21']
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,77 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,77 unequal: No Solution
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,77 unequal: No Solution
No 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: 77:[13, 31], Operations: ['71-58=13', '34-3=31']
Exploring Operation: 31-13=18, Resulting Numbers: [18]
18,77 unequal: No Solution
Exploring Operation: 13*31=403, Resulting Numbers: [403]
403,77 unequal: No Solution
Exploring Operation: 13+31=44, Resulting Numbers: [44]
44,77 unequal: No Solution
No 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: 77:[34, 10], Operations: ['71-58=13', '13-3=10']
Exploring Operation: 34*10=340, Resulting Numbers: [340]
340,77 unequal: No Solution
Exploring Operation: 34+10=44, Resulting Numbers: [44]
44,77 unequal: No Solution
Exploring Operation: 34-10=24, Resulting Numbers: [24]
24,77 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: 77:[71, 8], Operations: ['58-34=24', '24/3=8']
Exploring Operation: 71+8=79, Resulting Numbers: [79]
79,77 unequal: No Solution
Exploring Operation: 71-8=63, Resulting Numbers: [63]
63,77 unequal: No Solution
Exploring Operation: 71*8=568, Resulting Numbers: [568]
568,77 unequal: No Solution
Moving to Node #0,0,2
Current State: 77:[71, 72], Operations: ['58-34=24', '3*24=72']
Exploring Operation: 71*72=5112, Resulting Numbers: [5112]
5112,77 unequal: No Solution
Exploring Operation: 71+72=143, Resulting Numbers: [143]
143,77 unequal: No Solution
Exploring Operation: 72-71=1, Resulting Numbers: [1]
1,77 unequal: No Solution
Moving to Node #0,0,1
Current State: 77:[24, 74], Operations: ['58-34=24', '71+3=74']
Exploring Operation: 24+74=98, Resulting Numbers: [98]
98,77 unequal: No Solution
Exploring Operation: 74-24=50, Resulting Numbers: [50]
50,77 unequal: No Solution
Exploring Operation: 24*74=1776, Resulting Numbers: [1776]
1776,77 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
6,
60,
72,
93
] | 75 | [
"60-6=54",
"93-72=21",
"54+21=75"
] | Current State: 75:[6, 60, 72, 93], Operations: []
Exploring Operation: 60-6=54, Resulting Numbers: [72, 93, 54]
Generated Node #2: [72, 93, 54] from Operation: 60-6=54
Current State: 75:[72, 93, 54], Operations: ['60-6=54']
Exploring Operation: 93-72=21, Resulting Numbers: [54, 21]
Generated Node #3: [54, 21] from Operation: 93-72=21
Current State: 75:[54, 21], Operations: ['60-6=54', '93-72=21']
Exploring Operation: 54+21=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[6, 60, 72, 93], Operations: []
Exploring Operation: 93-60=33, Resulting Numbers: [6, 72, 33]
Generated Node #0,0: 75:[6, 72, 33] Operation: 93-60=33
Moving to Node #0,0
Current State: 75:[6, 72, 33], Operations: ['93-60=33']
Exploring Operation: 33-6=27, Resulting Numbers: [72, 27]
Generated Node #0,0,0: 75:[72, 27] Operation: 33-6=27
Moving to Node #0,0,0
Current State: 75:[72, 27], Operations: ['93-60=33', '33-6=27']
Exploring Operation: 72-27=45, Resulting Numbers: [45]
45,75 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
30,
26,
61,
79
] | 72 | [
"30-26=4",
"79-61=18",
"4*18=72"
] | Current State: 72:[30, 26, 61, 79], Operations: []
Exploring Operation: 30-26=4, Resulting Numbers: [61, 79, 4]
Generated Node #2: [61, 79, 4] from Operation: 30-26=4
Current State: 72:[61, 79, 4], Operations: ['30-26=4']
Exploring Operation: 79-61=18, Resulting Numbers: [4, 18]
Generated Node #3: [4, 18] from Operation: 79-61=18
Current State: 72:[4, 18], Operations: ['30-26=4', '79-61=18']
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[30, 26, 61, 79], Operations: []
Exploring Operation: 30-26=4, Resulting Numbers: [61, 79, 4]
Generated Node #0,0: 72:[61, 79, 4] Operation: 30-26=4
Exploring Operation: 79-30=49, Resulting Numbers: [26, 61, 49]
Generated Node #0,1: 72:[26, 61, 49] Operation: 79-30=49
Exploring Operation: 61-26=35, Resulting Numbers: [30, 79, 35]
Generated Node #0,2: 72:[30, 79, 35] Operation: 61-26=35
Exploring Operation: 61-30=31, Resulting Numbers: [26, 79, 31]
Generated Node #0,3: 72:[26, 79, 31] Operation: 61-30=31
Exploring Operation: 79-61=18, Resulting Numbers: [30, 26, 18]
Generated Node #0,4: 72:[30, 26, 18] Operation: 79-61=18
Moving to Node #0,4
Current State: 72:[30, 26, 18], Operations: ['79-61=18']
Exploring Operation: 26+18=44, Resulting Numbers: [30, 44]
Generated Node #0,4,0: 72:[30, 44] Operation: 26+18=44
Exploring Operation: 30+18=48, Resulting Numbers: [26, 48]
Generated Node #0,4,1: 72:[26, 48] Operation: 30+18=48
Exploring Operation: 30-26=4, Resulting Numbers: [18, 4]
Generated Node #0,4,2: 72:[18, 4] Operation: 30-26=4
Exploring Operation: 30-18=12, Resulting Numbers: [26, 12]
Generated Node #0,4,3: 72:[26, 12] Operation: 30-18=12
Exploring Operation: 26-18=8, Resulting Numbers: [30, 8]
Generated Node #0,4,4: 72:[30, 8] Operation: 26-18=8
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 72:[18, 4], Operations: ['79-61=18', '30-26=4']
Exploring Operation: 18*4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[30, 26, 61, 79], Operations: []
Exploring Operation: 79-61=18, Resulting Numbers: [30, 26, 18]
Generated Node #0,4: 72:[30, 26, 18] Operation: 79-61=18
Moving to Node #0,4
Current State: 72:[30, 26, 18], Operations: ['79-61=18']
Exploring Operation: 30-26=4, Resulting Numbers: [18, 4]
Generated Node #0,4,2: 72:[18, 4] Operation: 30-26=4
Moving to Node #0,4,2
Current State: 72:[18, 4], Operations: ['79-61=18', '30-26=4']
Exploring Operation: 18*4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
77,
80,
20,
64
] | 73 | [
"77+80=157",
"20+64=84",
"157-84=73"
] | Current State: 73:[77, 80, 20, 64], Operations: []
Exploring Operation: 77+80=157, Resulting Numbers: [20, 64, 157]
Generated Node #2: [20, 64, 157] from Operation: 77+80=157
Current State: 73:[20, 64, 157], Operations: ['77+80=157']
Exploring Operation: 20+64=84, Resulting Numbers: [157, 84]
Generated Node #3: [157, 84] from Operation: 20+64=84
Current State: 73:[157, 84], Operations: ['77+80=157', '20+64=84']
Exploring Operation: 157-84=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[77, 80, 20, 64], Operations: []
Exploring Operation: 20+64=84, Resulting Numbers: [77, 80, 84]
Generated Node #0,0: 73:[77, 80, 84] Operation: 20+64=84
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[77, 80, 84], Operations: ['20+64=84']
Exploring Operation: 84-77=7, Resulting Numbers: [80, 7]
Generated Node #0,0,0: 73:[80, 7] Operation: 84-77=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 73:[80, 7], Operations: ['20+64=84', '84-77=7']
Exploring Operation: 80-7=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[77, 80, 20, 64], Operations: []
Exploring Operation: 20+64=84, Resulting Numbers: [77, 80, 84]
Generated Node #0,0: 73:[77, 80, 84] Operation: 20+64=84
Moving to Node #0,0
Current State: 73:[77, 80, 84], Operations: ['20+64=84']
Exploring Operation: 84-77=7, Resulting Numbers: [80, 7]
Generated Node #0,0,0: 73:[80, 7] Operation: 84-77=7
Moving to Node #0,0,0
Current State: 73:[80, 7], Operations: ['20+64=84', '84-77=7']
Exploring Operation: 80-7=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
39,
5,
30,
80
] | 17 | [
"30+80=110",
"110/5=22",
"39-22=17"
] | Current State: 17:[39, 5, 30, 80], Operations: []
Exploring Operation: 30+80=110, Resulting Numbers: [39, 5, 110]
Generated Node #2: [39, 5, 110] from Operation: 30+80=110
Current State: 17:[39, 5, 110], Operations: ['30+80=110']
Exploring Operation: 110/5=22, Resulting Numbers: [39, 22]
Generated Node #3: [39, 22] from Operation: 110/5=22
Current State: 17:[39, 22], Operations: ['30+80=110', '110/5=22']
Exploring Operation: 39-22=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[39, 5, 30, 80], Operations: []
Exploring Operation: 80-39=41, Resulting Numbers: [5, 30, 41]
Generated Node #0,0: 17:[5, 30, 41] Operation: 80-39=41
Exploring Operation: 80-30=50, Resulting Numbers: [39, 5, 50]
Generated Node #0,1: 17:[39, 5, 50] Operation: 80-30=50
Exploring Operation: 80/5=16, Resulting Numbers: [39, 30, 16]
Generated Node #0,2: 17:[39, 30, 16] Operation: 80/5=16
Exploring Operation: 39-30=9, Resulting Numbers: [5, 80, 9]
Generated Node #0,3: 17:[5, 80, 9] Operation: 39-30=9
Start Sub Search at level 1: Moving to Node #0,2
Current State: 17:[39, 30, 16], Operations: ['80/5=16']
Exploring Operation: 39+16=55, Resulting Numbers: [30, 55]
Generated Node #0,2,0: 17:[30, 55] Operation: 39+16=55
Exploring Operation: 30-16=14, Resulting Numbers: [39, 14]
Generated Node #0,2,1: 17:[39, 14] Operation: 30-16=14
Exploring Operation: 39-30=9, Resulting Numbers: [16, 9]
Generated Node #0,2,2: 17:[16, 9] Operation: 39-30=9
Exploring Operation: 39-16=23, Resulting Numbers: [30, 23]
Generated Node #0,2,3: 17:[30, 23] Operation: 39-16=23
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 17:[16, 9], Operations: ['80/5=16', '39-30=9']
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,17 unequal: No Solution
Exploring Operation: 16+9=25, Resulting Numbers: [25]
25,17 unequal: No Solution
Exploring Operation: 16*9=144, Resulting Numbers: [144]
144,17 unequal: No Solution
No 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: 17:[30, 23], Operations: ['80/5=16', '39-16=23']
Exploring Operation: 30-23=7, Resulting Numbers: [7]
7,17 unequal: No Solution
Exploring Operation: 30+23=53, Resulting Numbers: [53]
53,17 unequal: No Solution
Exploring Operation: 30*23=690, Resulting Numbers: [690]
690,17 unequal: No Solution
No 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: 17:[39, 14], Operations: ['80/5=16', '30-16=14']
Exploring Operation: 39+14=53, Resulting Numbers: [53]
53,17 unequal: No Solution
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,17 unequal: No Solution
Exploring Operation: 39*14=546, Resulting Numbers: [546]
546,17 unequal: No Solution
No 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: 17:[30, 55], Operations: ['80/5=16', '39+16=55']
Exploring Operation: 30+55=85, Resulting Numbers: [85]
85,17 unequal: No Solution
Exploring Operation: 55-30=25, Resulting Numbers: [25]
25,17 unequal: No Solution
Exploring Operation: 30*55=1650, Resulting Numbers: [1650]
1650,17 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: 17:[5, 30, 41], Operations: ['80-39=41']
Exploring Operation: 41-30=11, Resulting Numbers: [5, 11]
Generated Node #0,0,0: 17:[5, 11] Operation: 41-30=11
Exploring Operation: 30/5=6, Resulting Numbers: [41, 6]
Generated Node #0,0,1: 17:[41, 6] Operation: 30/5=6
Exploring Operation: 30-5=25, Resulting Numbers: [41, 25]
Generated Node #0,0,2: 17:[41, 25] Operation: 30-5=25
Exploring Operation: 41-5=36, Resulting Numbers: [30, 36]
Generated Node #0,0,3: 17:[30, 36] Operation: 41-5=36
Moving to Node #0,0,0
Current State: 17:[5, 11], Operations: ['80-39=41', '41-30=11']
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,17 unequal: No Solution
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,17 unequal: No Solution
Moving to Node #0,0,3
Current State: 17:[30, 36], Operations: ['80-39=41', '41-5=36']
Exploring Operation: 30+36=66, Resulting Numbers: [66]
66,17 unequal: No Solution
Exploring Operation: 30*36=1080, Resulting Numbers: [1080]
1080,17 unequal: No Solution
Exploring Operation: 36-30=6, Resulting Numbers: [6]
6,17 unequal: No Solution
Moving to Node #0,0,2
Current State: 17:[41, 25], Operations: ['80-39=41', '30-5=25']
Exploring Operation: 41-25=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Exploring Operation: 41*25=1025, Resulting Numbers: [1025]
1025,17 unequal: No Solution
Exploring Operation: 41+25=66, Resulting Numbers: [66]
66,17 unequal: No Solution
Moving to Node #0,0,1
Current State: 17:[41, 6], Operations: ['80-39=41', '30/5=6']
Exploring Operation: 41*6=246, Resulting Numbers: [246]
246,17 unequal: No Solution
Exploring Operation: 41-6=35, Resulting Numbers: [35]
35,17 unequal: No Solution
Exploring Operation: 41+6=47, Resulting Numbers: [47]
47,17 unequal: No Solution
No 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: 17:[39, 5, 50], Operations: ['80-30=50']
Exploring Operation: 39-5=34, Resulting Numbers: [50, 34]
Generated Node #0,1,0: 17:[50, 34] Operation: 39-5=34
Exploring Operation: 50-39=11, Resulting Numbers: [5, 11]
Generated Node #0,1,1: 17:[5, 11] Operation: 50-39=11
Exploring Operation: 50/5=10, Resulting Numbers: [39, 10]
Generated Node #0,1,2: 17:[39, 10] Operation: 50/5=10
Exploring Operation: 50-5=45, Resulting Numbers: [39, 45]
Generated Node #0,1,3: 17:[39, 45] Operation: 50-5=45
Moving to Node #0,1,1
Current State: 17:[5, 11], Operations: ['80-30=50', '50-39=11']
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,17 unequal: No Solution
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,17 unequal: No Solution
Moving to Node #0,1,2
Current State: 17:[39, 10], Operations: ['80-30=50', '50/5=10']
Exploring Operation: 39+10=49, Resulting Numbers: [49]
49,17 unequal: No Solution
Exploring Operation: 39-10=29, Resulting Numbers: [29]
29,17 unequal: No Solution
Exploring Operation: 39*10=390, Resulting Numbers: [390]
390,17 unequal: No Solution
Moving to Node #0,1,3
Current State: 17:[39, 45], Operations: ['80-30=50', '50-5=45']
Exploring Operation: 39+45=84, Resulting Numbers: [84]
84,17 unequal: No Solution
Exploring Operation: 39*45=1755, Resulting Numbers: [1755]
1755,17 unequal: No Solution
Exploring Operation: 45-39=6, Resulting Numbers: [6]
6,17 unequal: No Solution
Moving to Node #0,1,0
Current State: 17:[50, 34], Operations: ['80-30=50', '39-5=34']
Exploring Operation: 50-34=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Exploring Operation: 50+34=84, Resulting Numbers: [84]
84,17 unequal: No Solution
Exploring Operation: 50*34=1700, Resulting Numbers: [1700]
1700,17 unequal: No Solution
No 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: 17:[5, 80, 9], Operations: ['39-30=9']
Exploring Operation: 80-9=71, Resulting Numbers: [5, 71]
Generated Node #0,3,0: 17:[5, 71] Operation: 80-9=71
Exploring Operation: 80/5=16, Resulting Numbers: [9, 16]
Generated Node #0,3,1: 17:[9, 16] Operation: 80/5=16
Exploring Operation: 80-5=75, Resulting Numbers: [9, 75]
Generated Node #0,3,2: 17:[9, 75] Operation: 80-5=75
Exploring Operation: 5+9=14, Resulting Numbers: [80, 14]
Generated Node #0,3,3: 17:[80, 14] Operation: 5+9=14
Moving to Node #0,3,1
Current State: 17:[9, 16], Operations: ['39-30=9', '80/5=16']
Exploring Operation: 9+16=25, Resulting Numbers: [25]
25,17 unequal: No Solution
Exploring Operation: 9*16=144, Resulting Numbers: [144]
144,17 unequal: No Solution
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,17 unequal: No Solution
Moving to Node #0,3,2
Current State: 17:[9, 75], Operations: ['39-30=9', '80-5=75']
Exploring Operation: 75-9=66, Resulting Numbers: [66]
66,17 unequal: No Solution
Exploring Operation: 9+75=84, Resulting Numbers: [84]
84,17 unequal: No Solution
Exploring Operation: 9*75=675, Resulting Numbers: [675]
675,17 unequal: No Solution
Moving to Node #0,3,0
Current State: 17:[5, 71], Operations: ['39-30=9', '80-9=71']
Exploring Operation: 71-5=66, Resulting Numbers: [66]
66,17 unequal: No Solution
Exploring Operation: 5*71=355, Resulting Numbers: [355]
355,17 unequal: No Solution
Exploring Operation: 5+71=76, Resulting Numbers: [76]
76,17 unequal: No Solution
Moving to Node #0,3,3
Current State: 17:[80, 14], Operations: ['39-30=9', '5+9=14']
Exploring Operation: 80+14=94, Resulting Numbers: [94]
94,17 unequal: No Solution
Exploring Operation: 80-14=66, Resulting Numbers: [66]
66,17 unequal: No Solution
Exploring Operation: 80*14=1120, Resulting Numbers: [1120]
1120,17 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 |
[
79,
48,
92,
26
] | 46 | [
"92-79=13",
"26/13=2",
"48-2=46"
] | Current State: 46:[79, 48, 92, 26], Operations: []
Exploring Operation: 92-79=13, Resulting Numbers: [48, 26, 13]
Generated Node #2: [48, 26, 13] from Operation: 92-79=13
Current State: 46:[48, 26, 13], Operations: ['92-79=13']
Exploring Operation: 26/13=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 26/13=2
Current State: 46:[48, 2], Operations: ['92-79=13', '26/13=2']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[79, 48, 92, 26], Operations: []
Exploring Operation: 92-48=44, Resulting Numbers: [79, 26, 44]
Generated Node #0,0: 46:[79, 26, 44] Operation: 92-48=44
Exploring Operation: 92-26=66, Resulting Numbers: [79, 48, 66]
Generated Node #0,1: 46:[79, 48, 66] Operation: 92-26=66
Exploring Operation: 92-79=13, Resulting Numbers: [48, 26, 13]
Generated Node #0,2: 46:[48, 26, 13] Operation: 92-79=13
Exploring Operation: 79-26=53, Resulting Numbers: [48, 92, 53]
Generated Node #0,3: 46:[48, 92, 53] Operation: 79-26=53
Moving to Node #0,2
Current State: 46:[48, 26, 13], Operations: ['92-79=13']
Exploring Operation: 48-26=22, Resulting Numbers: [13, 22]
Generated Node #0,2,0: 46:[13, 22] Operation: 48-26=22
Exploring Operation: 26/13=2, Resulting Numbers: [48, 2]
Generated Node #0,2,1: 46:[48, 2] Operation: 26/13=2
Exploring Operation: 26+13=39, Resulting Numbers: [48, 39]
Generated Node #0,2,2: 46:[48, 39] Operation: 26+13=39
Exploring Operation: 26-13=13, Resulting Numbers: [48, 13]
Generated Node #0,2,3: 46:[48, 13] Operation: 26-13=13
Moving to Node #0,0
Current State: 46:[79, 26, 44], Operations: ['92-48=44']
Exploring Operation: 79-26=53, Resulting Numbers: [44, 53]
Generated Node #0,0,0: 46:[44, 53] Operation: 79-26=53
Exploring Operation: 79-44=35, Resulting Numbers: [26, 35]
Generated Node #0,0,1: 46:[26, 35] Operation: 79-44=35
Exploring Operation: 44-26=18, Resulting Numbers: [79, 18]
Generated Node #0,0,2: 46:[79, 18] Operation: 44-26=18
Exploring Operation: 26+44=70, Resulting Numbers: [79, 70]
Generated Node #0,0,3: 46:[79, 70] Operation: 26+44=70
Moving to Node #0,3
Current State: 46:[48, 92, 53], Operations: ['79-26=53']
Exploring Operation: 92-53=39, Resulting Numbers: [48, 39]
Generated Node #0,3,0: 46:[48, 39] Operation: 92-53=39
Exploring Operation: 53-48=5, Resulting Numbers: [92, 5]
Generated Node #0,3,1: 46:[92, 5] Operation: 53-48=5
Exploring Operation: 48+92=140, Resulting Numbers: [53, 140]
Generated Node #0,3,2: 46:[53, 140] Operation: 48+92=140
Exploring Operation: 92-48=44, Resulting Numbers: [53, 44]
Generated Node #0,3,3: 46:[53, 44] Operation: 92-48=44
Moving to Node #0,1
Current State: 46:[79, 48, 66], Operations: ['92-26=66']
Exploring Operation: 79+48=127, Resulting Numbers: [66, 127]
Generated Node #0,1,0: 46:[66, 127] Operation: 79+48=127
Exploring Operation: 66-48=18, Resulting Numbers: [79, 18]
Generated Node #0,1,1: 46:[79, 18] Operation: 66-48=18
Exploring Operation: 79-48=31, Resulting Numbers: [66, 31]
Generated Node #0,1,2: 46:[66, 31] Operation: 79-48=31
Exploring Operation: 79-66=13, Resulting Numbers: [48, 13]
Generated Node #0,1,3: 46:[48, 13] Operation: 79-66=13
Moving to Node #0,2,1
Current State: 46:[48, 2], Operations: ['92-79=13', '26/13=2']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[79, 48, 92, 26], Operations: []
Exploring Operation: 92-79=13, Resulting Numbers: [48, 26, 13]
Generated Node #0,2: 46:[48, 26, 13] Operation: 92-79=13
Moving to Node #0,2
Current State: 46:[48, 26, 13], Operations: ['92-79=13']
Exploring Operation: 26/13=2, Resulting Numbers: [48, 2]
Generated Node #0,2,1: 46:[48, 2] Operation: 26/13=2
Moving to Node #0,2,1
Current State: 46:[48, 2], Operations: ['92-79=13', '26/13=2']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 0.978299 | hs_4 | mult_heuristic |
[
18,
59,
47,
18
] | 48 | [
"18+59=77",
"47-18=29",
"77-29=48"
] | Current State: 48:[18, 59, 47, 18], Operations: []
Exploring Operation: 18+59=77, Resulting Numbers: [47, 77]
Generated Node #2: [47, 77] from Operation: 18+59=77
Current State: 48:[47, 77], Operations: ['18+59=77']
Exploring Operation: 47-18=29, Resulting Numbers: [77, 29]
Generated Node #3: [77, 29] from Operation: 47-18=29
Current State: 48:[77, 29], Operations: ['18+59=77', '47-18=29']
Exploring Operation: 77-29=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[18, 59, 47, 18], Operations: []
Exploring Operation: 59-18=41, Resulting Numbers: [47, 18, 41]
Generated Node #0,0: 48:[47, 18, 41] Operation: 59-18=41
Exploring Operation: 59-47=12, Resulting Numbers: [18, 18, 12]
Generated Node #0,1: 48:[18, 18, 12] Operation: 59-47=12
Moving to Node #0,1
Current State: 48:[18, 18, 12], Operations: ['59-47=12']
Exploring Operation: 18/18=1, Resulting Numbers: [12, 1]
Generated Node #0,1,0: 48:[12, 1] Operation: 18/18=1
Exploring Operation: 18-18=0, Resulting Numbers: [12, 0]
Generated Node #0,1,1: 48:[12, 0] Operation: 18-18=0
Moving to Node #0,0
Current State: 48:[47, 18, 41], Operations: ['59-18=41']
Exploring Operation: 47-41=6, Resulting Numbers: [18, 6]
Generated Node #0,0,0: 48:[18, 6] Operation: 47-41=6
Exploring Operation: 41-18=23, Resulting Numbers: [47, 23]
Generated Node #0,0,1: 48:[47, 23] Operation: 41-18=23
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 48:[18, 6], Operations: ['59-18=41', '47-41=6']
Exploring Operation: 18+6=24, Resulting Numbers: [24]
24,48 unequal: No Solution
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 48:[47, 23], Operations: ['59-18=41', '41-18=23']
Exploring Operation: 47-23=24, Resulting Numbers: [24]
24,48 unequal: No Solution
Exploring Operation: 47+23=70, Resulting Numbers: [70]
70,48 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: 48:[12, 1], Operations: ['59-47=12', '18/18=1']
Exploring Operation: 12/1=12, Resulting Numbers: [12]
12,48 unequal: No Solution
Exploring Operation: 12*1=12, Resulting Numbers: [12]
12,48 unequal: No Solution
Moving to Node #0,1,1
Current State: 48:[12, 0], Operations: ['59-47=12', '18-18=0']
Exploring Operation: 12+0=12, Resulting Numbers: [12]
12,48 unequal: No Solution
Exploring Operation: 12-0=12, Resulting Numbers: [12]
12,48 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
54,
3,
29,
11
] | 50 | [
"54+29=83",
"3*11=33",
"83-33=50"
] | Current State: 50:[54, 3, 29, 11], Operations: []
Exploring Operation: 54+29=83, Resulting Numbers: [3, 11, 83]
Generated Node #2: [3, 11, 83] from Operation: 54+29=83
Current State: 50:[3, 11, 83], Operations: ['54+29=83']
Exploring Operation: 3*11=33, Resulting Numbers: [83, 33]
Generated Node #3: [83, 33] from Operation: 3*11=33
Current State: 50:[83, 33], Operations: ['54+29=83', '3*11=33']
Exploring Operation: 83-33=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[54, 3, 29, 11], Operations: []
Exploring Operation: 29-3=26, Resulting Numbers: [54, 11, 26]
Generated Node #0,0: 50:[54, 11, 26] Operation: 29-3=26
Exploring Operation: 54-3=51, Resulting Numbers: [29, 11, 51]
Generated Node #0,1: 50:[29, 11, 51] Operation: 54-3=51
Exploring Operation: 54-29=25, Resulting Numbers: [3, 11, 25]
Generated Node #0,2: 50:[3, 11, 25] Operation: 54-29=25
Moving to Node #0,2
Current State: 50:[3, 11, 25], Operations: ['54-29=25']
Exploring Operation: 3+25=28, Resulting Numbers: [11, 28]
Generated Node #0,2,0: 50:[11, 28] Operation: 3+25=28
Exploring Operation: 11-3=8, Resulting Numbers: [25, 8]
Generated Node #0,2,1: 50:[25, 8] Operation: 11-3=8
Exploring Operation: 3+11=14, Resulting Numbers: [25, 14]
Generated Node #0,2,2: 50:[25, 14] Operation: 3+11=14
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 50:[25, 8], Operations: ['54-29=25', '11-3=8']
Exploring Operation: 25+8=33, Resulting Numbers: [33]
33,50 unequal: No Solution
Exploring Operation: 25*8=200, Resulting Numbers: [200]
200,50 unequal: No Solution
Exploring Operation: 25-8=17, Resulting Numbers: [17]
17,50 unequal: No Solution
No 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: 50:[11, 28], Operations: ['54-29=25', '3+25=28']
Exploring Operation: 11*28=308, Resulting Numbers: [308]
308,50 unequal: No Solution
Exploring Operation: 28-11=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Exploring Operation: 11+28=39, Resulting Numbers: [39]
39,50 unequal: No Solution
No 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: 50:[25, 14], Operations: ['54-29=25', '3+11=14']
Exploring Operation: 25*14=350, Resulting Numbers: [350]
350,50 unequal: No Solution
Exploring Operation: 25+14=39, Resulting Numbers: [39]
39,50 unequal: No Solution
Exploring Operation: 25-14=11, Resulting Numbers: [11]
11,50 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: 50:[54, 11, 26], Operations: ['29-3=26']
Exploring Operation: 54-26=28, Resulting Numbers: [11, 28]
Generated Node #0,0,0: 50:[11, 28] Operation: 54-26=28
Exploring Operation: 54-11=43, Resulting Numbers: [26, 43]
Generated Node #0,0,1: 50:[26, 43] Operation: 54-11=43
Exploring Operation: 26-11=15, Resulting Numbers: [54, 15]
Generated Node #0,0,2: 50:[54, 15] Operation: 26-11=15
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 50:[11, 28], Operations: ['29-3=26', '54-26=28']
Exploring Operation: 11+28=39, Resulting Numbers: [39]
39,50 unequal: No Solution
Exploring Operation: 11*28=308, Resulting Numbers: [308]
308,50 unequal: No Solution
Exploring Operation: 28-11=17, Resulting Numbers: [17]
17,50 unequal: No Solution
No 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: 50:[26, 43], Operations: ['29-3=26', '54-11=43']
Exploring Operation: 43-26=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Exploring Operation: 26*43=1118, Resulting Numbers: [1118]
1118,50 unequal: No Solution
Exploring Operation: 26+43=69, Resulting Numbers: [69]
69,50 unequal: No Solution
No 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: 50:[54, 15], Operations: ['29-3=26', '26-11=15']
Exploring Operation: 54+15=69, Resulting Numbers: [69]
69,50 unequal: No Solution
Exploring Operation: 54*15=810, Resulting Numbers: [810]
810,50 unequal: No Solution
Exploring Operation: 54-15=39, Resulting Numbers: [39]
39,50 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: 50:[29, 11, 51], Operations: ['54-3=51']
Exploring Operation: 29+11=40, Resulting Numbers: [51, 40]
Generated Node #0,1,0: 50:[51, 40] Operation: 29+11=40
Exploring Operation: 51-29=22, Resulting Numbers: [11, 22]
Generated Node #0,1,1: 50:[11, 22] Operation: 51-29=22
Exploring Operation: 29-11=18, Resulting Numbers: [51, 18]
Generated Node #0,1,2: 50:[51, 18] Operation: 29-11=18
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 50:[11, 22], Operations: ['54-3=51', '51-29=22']
Exploring Operation: 11+22=33, Resulting Numbers: [33]
33,50 unequal: No Solution
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,50 unequal: No Solution
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,50 unequal: No Solution
No 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: 50:[51, 18], Operations: ['54-3=51', '29-11=18']
Exploring Operation: 51*18=918, Resulting Numbers: [918]
918,50 unequal: No Solution
Exploring Operation: 51+18=69, Resulting Numbers: [69]
69,50 unequal: No Solution
Exploring Operation: 51-18=33, Resulting Numbers: [33]
33,50 unequal: No Solution
No 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: 50:[51, 40], Operations: ['54-3=51', '29+11=40']
Exploring Operation: 51+40=91, Resulting Numbers: [91]
91,50 unequal: No Solution
Exploring Operation: 51*40=2040, Resulting Numbers: [2040]
2040,50 unequal: No Solution
Exploring Operation: 51-40=11, Resulting Numbers: [11]
11,50 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 |
[
60,
60,
61,
27
] | 88 | [
"60-60=0",
"61+27=88",
"0+88=88"
] | Current State: 88:[60, 60, 61, 27], Operations: []
Exploring Operation: 60-60=0, Resulting Numbers: [61, 27, 0]
Generated Node #2: [61, 27, 0] from Operation: 60-60=0
Current State: 88:[61, 27, 0], Operations: ['60-60=0']
Exploring Operation: 61+27=88, Resulting Numbers: [0, 88]
Generated Node #3: [0, 88] from Operation: 61+27=88
Current State: 88:[0, 88], Operations: ['60-60=0', '61+27=88']
Exploring Operation: 0+88=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[60, 60, 61, 27], Operations: []
Exploring Operation: 61-60=1, Resulting Numbers: [60, 27, 1]
Generated Node #0,0: 88:[60, 27, 1] Operation: 61-60=1
Exploring Operation: 60-60=0, Resulting Numbers: [61, 27, 0]
Generated Node #0,1: 88:[61, 27, 0] Operation: 60-60=0
Exploring Operation: 60/60=1, Resulting Numbers: [61, 27, 1]
Generated Node #0,2: 88:[61, 27, 1] Operation: 60/60=1
Exploring Operation: 61-60=1, Resulting Numbers: [60, 27, 1]
Generated Node #0,3: 88:[60, 27, 1] Operation: 61-60=1
Exploring Operation: 61+27=88, Resulting Numbers: [60, 60, 88]
Generated Node #0,4: 88:[60, 60, 88] Operation: 61+27=88
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[60, 27, 1], Operations: ['61-60=1']
Exploring Operation: 60-27=33, Resulting Numbers: [1, 33]
Generated Node #0,0,0: 88:[1, 33] Operation: 60-27=33
Exploring Operation: 60-1=59, Resulting Numbers: [27, 59]
Generated Node #0,0,1: 88:[27, 59] Operation: 60-1=59
Exploring Operation: 60*1=60, Resulting Numbers: [27, 60]
Generated Node #0,0,2: 88:[27, 60] Operation: 60*1=60
Exploring Operation: 60+27=87, Resulting Numbers: [1, 87]
Generated Node #0,0,3: 88:[1, 87] Operation: 60+27=87
Exploring Operation: 27-1=26, Resulting Numbers: [60, 26]
Generated Node #0,0,4: 88:[60, 26] Operation: 27-1=26
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 88:[1, 87], Operations: ['61-60=1', '60+27=87']
Exploring Operation: 1+87=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[60, 60, 61, 27], Operations: []
Exploring Operation: 61-60=1, Resulting Numbers: [60, 27, 1]
Generated Node #0,0: 88:[60, 27, 1] Operation: 61-60=1
Moving to Node #0,0
Current State: 88:[60, 27, 1], Operations: ['61-60=1']
Exploring Operation: 60+27=87, Resulting Numbers: [1, 87]
Generated Node #0,0,3: 88:[1, 87] Operation: 60+27=87
Moving to Node #0,0,3
Current State: 88:[1, 87], Operations: ['61-60=1', '60+27=87']
Exploring Operation: 1+87=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
2,
91,
55,
79
] | 98 | [
"2*55=110",
"91-79=12",
"110-12=98"
] | Current State: 98:[2, 91, 55, 79], Operations: []
Exploring Operation: 2*55=110, Resulting Numbers: [91, 79, 110]
Generated Node #2: [91, 79, 110] from Operation: 2*55=110
Current State: 98:[91, 79, 110], Operations: ['2*55=110']
Exploring Operation: 91-79=12, Resulting Numbers: [110, 12]
Generated Node #3: [110, 12] from Operation: 91-79=12
Current State: 98:[110, 12], Operations: ['2*55=110', '91-79=12']
Exploring Operation: 110-12=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[2, 91, 55, 79], Operations: []
Exploring Operation: 2+91=93, Resulting Numbers: [55, 79, 93]
Generated Node #0,0: 98:[55, 79, 93] Operation: 2+91=93
Exploring Operation: 79-55=24, Resulting Numbers: [2, 91, 24]
Generated Node #0,1: 98:[2, 91, 24] Operation: 79-55=24
Exploring Operation: 91-79=12, Resulting Numbers: [2, 55, 12]
Generated Node #0,2: 98:[2, 55, 12] Operation: 91-79=12
Moving to Node #0,2
Current State: 98:[2, 55, 12], Operations: ['91-79=12']
Exploring Operation: 2+12=14, Resulting Numbers: [55, 14]
Generated Node #0,2,0: 98:[55, 14] Operation: 2+12=14
Exploring Operation: 55-2=53, Resulting Numbers: [12, 53]
Generated Node #0,2,1: 98:[12, 53] Operation: 55-2=53
Exploring Operation: 55-12=43, Resulting Numbers: [2, 43]
Generated Node #0,2,2: 98:[2, 43] Operation: 55-12=43
Moving to Node #0,1
Current State: 98:[2, 91, 24], Operations: ['79-55=24']
Exploring Operation: 2+91=93, Resulting Numbers: [24, 93]
Generated Node #0,1,0: 98:[24, 93] Operation: 2+91=93
Exploring Operation: 24/2=12, Resulting Numbers: [91, 12]
Generated Node #0,1,1: 98:[91, 12] Operation: 24/2=12
Exploring Operation: 2*24=48, Resulting Numbers: [91, 48]
Generated Node #0,1,2: 98:[91, 48] Operation: 2*24=48
Moving to Node #0,0
Current State: 98:[55, 79, 93], Operations: ['2+91=93']
Exploring Operation: 93-79=14, Resulting Numbers: [55, 14]
Generated Node #0,0,0: 98:[55, 14] Operation: 93-79=14
Exploring Operation: 93-55=38, Resulting Numbers: [79, 38]
Generated Node #0,0,1: 98:[79, 38] Operation: 93-55=38
Exploring Operation: 79-55=24, Resulting Numbers: [93, 24]
Generated Node #0,0,2: 98:[93, 24] Operation: 79-55=24
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 98:[55, 14], Operations: ['2+91=93', '93-79=14']
Exploring Operation: 55-14=41, Resulting Numbers: [41]
41,98 unequal: No Solution
Exploring Operation: 55+14=69, Resulting Numbers: [69]
69,98 unequal: No Solution
Exploring Operation: 55*14=770, Resulting Numbers: [770]
770,98 unequal: No Solution
No 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: 98:[93, 24], Operations: ['2+91=93', '79-55=24']
Exploring Operation: 93+24=117, Resulting Numbers: [117]
117,98 unequal: No Solution
Exploring Operation: 93-24=69, Resulting Numbers: [69]
69,98 unequal: No Solution
Exploring Operation: 93*24=2232, Resulting Numbers: [2232]
2232,98 unequal: No Solution
No 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: 98:[79, 38], Operations: ['2+91=93', '93-55=38']
Exploring Operation: 79*38=3002, Resulting Numbers: [3002]
3002,98 unequal: No Solution
Exploring Operation: 79+38=117, Resulting Numbers: [117]
117,98 unequal: No Solution
Exploring Operation: 79-38=41, Resulting Numbers: [41]
41,98 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: 98:[55, 14], Operations: ['91-79=12', '2+12=14']
Exploring Operation: 55+14=69, Resulting Numbers: [69]
69,98 unequal: No Solution
Exploring Operation: 55*14=770, Resulting Numbers: [770]
770,98 unequal: No Solution
Exploring Operation: 55-14=41, Resulting Numbers: [41]
41,98 unequal: No Solution
Moving to Node #0,2,2
Current State: 98:[2, 43], Operations: ['91-79=12', '55-12=43']
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,98 unequal: No Solution
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,98 unequal: No Solution
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,98 unequal: No Solution
Moving to Node #0,2,1
Current State: 98:[12, 53], Operations: ['91-79=12', '55-2=53']
Exploring Operation: 12*53=636, Resulting Numbers: [636]
636,98 unequal: No Solution
Exploring Operation: 53-12=41, Resulting Numbers: [41]
41,98 unequal: No Solution
Exploring Operation: 12+53=65, Resulting Numbers: [65]
65,98 unequal: No Solution
Moving to Node #0,1,2
Current State: 98:[91, 48], Operations: ['79-55=24', '2*24=48']
Exploring Operation: 91*48=4368, Resulting Numbers: [4368]
4368,98 unequal: No Solution
Exploring Operation: 91-48=43, Resulting Numbers: [43]
43,98 unequal: No Solution
Exploring Operation: 91+48=139, Resulting Numbers: [139]
139,98 unequal: No Solution
Moving to Node #0,1,1
Current State: 98:[91, 12], Operations: ['79-55=24', '24/2=12']
Exploring Operation: 91-12=79, Resulting Numbers: [79]
79,98 unequal: No Solution
Exploring Operation: 91*12=1092, Resulting Numbers: [1092]
1092,98 unequal: No Solution
Exploring Operation: 91+12=103, Resulting Numbers: [103]
103,98 unequal: No Solution
Moving to Node #0,1,0
Current State: 98:[24, 93], Operations: ['79-55=24', '2+91=93']
Exploring Operation: 93-24=69, Resulting Numbers: [69]
69,98 unequal: No Solution
Exploring Operation: 24*93=2232, Resulting Numbers: [2232]
2232,98 unequal: No Solution
Exploring Operation: 24+93=117, Resulting Numbers: [117]
117,98 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
32,
55,
57,
12
] | 40 | [
"32-12=20",
"57-55=2",
"20*2=40"
] | Current State: 40:[32, 55, 57, 12], Operations: []
Exploring Operation: 32-12=20, Resulting Numbers: [55, 57, 20]
Generated Node #2: [55, 57, 20] from Operation: 32-12=20
Current State: 40:[55, 57, 20], Operations: ['32-12=20']
Exploring Operation: 57-55=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 57-55=2
Current State: 40:[20, 2], Operations: ['32-12=20', '57-55=2']
Exploring Operation: 20*2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[32, 55, 57, 12], Operations: []
Exploring Operation: 57-55=2, Resulting Numbers: [32, 12, 2]
Generated Node #0,0: 40:[32, 12, 2] Operation: 57-55=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[32, 12, 2], Operations: ['57-55=2']
Exploring Operation: 32-12=20, Resulting Numbers: [2, 20]
Generated Node #0,0,0: 40:[2, 20] Operation: 32-12=20
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 40:[2, 20], Operations: ['57-55=2', '32-12=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[32, 55, 57, 12], Operations: []
Exploring Operation: 57-55=2, Resulting Numbers: [32, 12, 2]
Generated Node #0,0: 40:[32, 12, 2] Operation: 57-55=2
Moving to Node #0,0
Current State: 40:[32, 12, 2], Operations: ['57-55=2']
Exploring Operation: 32-12=20, Resulting Numbers: [2, 20]
Generated Node #0,0,0: 40:[2, 20] Operation: 32-12=20
Moving to Node #0,0,0
Current State: 40:[2, 20], Operations: ['57-55=2', '32-12=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
55,
21,
24,
16
] | 35 | [
"21-16=5",
"55/5=11",
"24+11=35"
] | Current State: 35:[55, 21, 24, 16], Operations: []
Exploring Operation: 21-16=5, Resulting Numbers: [55, 24, 5]
Generated Node #2: [55, 24, 5] from Operation: 21-16=5
Current State: 35:[55, 24, 5], Operations: ['21-16=5']
Exploring Operation: 55/5=11, Resulting Numbers: [24, 11]
Generated Node #3: [24, 11] from Operation: 55/5=11
Current State: 35:[24, 11], Operations: ['21-16=5', '55/5=11']
Exploring Operation: 24+11=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[55, 21, 24, 16], Operations: []
Exploring Operation: 55-24=31, Resulting Numbers: [21, 16, 31]
Generated Node #0,0: 35:[21, 16, 31] Operation: 55-24=31
Exploring Operation: 55-21=34, Resulting Numbers: [24, 16, 34]
Generated Node #0,1: 35:[24, 16, 34] Operation: 55-21=34
Moving to Node #0,1
Current State: 35:[24, 16, 34], Operations: ['55-21=34']
Exploring Operation: 24-16=8, Resulting Numbers: [34, 8]
Generated Node #0,1,0: 35:[34, 8] Operation: 24-16=8
Exploring Operation: 24+16=40, Resulting Numbers: [34, 40]
Generated Node #0,1,1: 35:[34, 40] Operation: 24+16=40
Moving to Node #0,0
Current State: 35:[21, 16, 31], Operations: ['55-24=31']
Exploring Operation: 21+16=37, Resulting Numbers: [31, 37]
Generated Node #0,0,0: 35:[31, 37] Operation: 21+16=37
Exploring Operation: 21-16=5, Resulting Numbers: [31, 5]
Generated Node #0,0,1: 35:[31, 5] Operation: 21-16=5
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 35:[31, 5], Operations: ['55-24=31', '21-16=5']
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,35 unequal: No Solution
Exploring Operation: 31+5=36, Resulting Numbers: [36]
36,35 unequal: No Solution
No 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: 35:[31, 37], Operations: ['55-24=31', '21+16=37']
Exploring Operation: 31+37=68, Resulting Numbers: [68]
68,35 unequal: No Solution
Exploring Operation: 37-31=6, Resulting Numbers: [6]
6,35 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: 35:[34, 8], Operations: ['55-21=34', '24-16=8']
Exploring Operation: 34-8=26, Resulting Numbers: [26]
26,35 unequal: No Solution
Exploring Operation: 34+8=42, Resulting Numbers: [42]
42,35 unequal: No Solution
Moving to Node #0,1,1
Current State: 35:[34, 40], Operations: ['55-21=34', '24+16=40']
Exploring Operation: 40-34=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 34+40=74, Resulting Numbers: [74]
74,35 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
80,
91,
13,
9
] | 78 | [
"80-9=71",
"91/13=7",
"71+7=78"
] | Current State: 78:[80, 91, 13, 9], Operations: []
Exploring Operation: 80-9=71, Resulting Numbers: [91, 13, 71]
Generated Node #2: [91, 13, 71] from Operation: 80-9=71
Current State: 78:[91, 13, 71], Operations: ['80-9=71']
Exploring Operation: 91/13=7, Resulting Numbers: [71, 7]
Generated Node #3: [71, 7] from Operation: 91/13=7
Current State: 78:[71, 7], Operations: ['80-9=71', '91/13=7']
Exploring Operation: 71+7=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[80, 91, 13, 9], Operations: []
Exploring Operation: 91-80=11, Resulting Numbers: [13, 9, 11]
Generated Node #0,0: 78:[13, 9, 11] Operation: 91-80=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[13, 9, 11], Operations: ['91-80=11']
Exploring Operation: 11-9=2, Resulting Numbers: [13, 2]
Generated Node #0,0,0: 78:[13, 2] Operation: 11-9=2
Moving to Node #0,0,0
Current State: 78:[13, 2], Operations: ['91-80=11', '11-9=2']
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,78 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 |
[
7,
7,
64,
55
] | 58 | [
"7*7=49",
"64-55=9",
"49+9=58"
] | Current State: 58:[7, 7, 64, 55], Operations: []
Exploring Operation: 7*7=49, Resulting Numbers: [64, 55, 49]
Generated Node #2: [64, 55, 49] from Operation: 7*7=49
Current State: 58:[64, 55, 49], Operations: ['7*7=49']
Exploring Operation: 64-55=9, Resulting Numbers: [49, 9]
Generated Node #3: [49, 9] from Operation: 64-55=9
Current State: 58:[49, 9], Operations: ['7*7=49', '64-55=9']
Exploring Operation: 49+9=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[7, 7, 64, 55], Operations: []
Exploring Operation: 64-7=57, Resulting Numbers: [7, 55, 57]
Generated Node #0,0: 58:[7, 55, 57] Operation: 64-7=57
Exploring Operation: 64-7=57, Resulting Numbers: [7, 55, 57]
Generated Node #0,1: 58:[7, 55, 57] Operation: 64-7=57
Exploring Operation: 7/7=1, Resulting Numbers: [64, 55, 1]
Generated Node #0,2: 58:[64, 55, 1] Operation: 7/7=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[7, 55, 57], Operations: ['64-7=57']
Exploring Operation: 7+55=62, Resulting Numbers: [57, 62]
Generated Node #0,0,0: 58:[57, 62] Operation: 7+55=62
Exploring Operation: 57-55=2, Resulting Numbers: [7, 2]
Generated Node #0,0,1: 58:[7, 2] Operation: 57-55=2
Exploring Operation: 7+57=64, Resulting Numbers: [55, 64]
Generated Node #0,0,2: 58:[55, 64] Operation: 7+57=64
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 58:[57, 62], Operations: ['64-7=57', '7+55=62']
Exploring Operation: 62-57=5, Resulting Numbers: [5]
5,58 unequal: No Solution
Exploring Operation: 57*62=3534, Resulting Numbers: [3534]
3534,58 unequal: No Solution
Exploring Operation: 57+62=119, Resulting Numbers: [119]
119,58 unequal: No Solution
No 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: 58:[7, 2], Operations: ['64-7=57', '57-55=2']
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,58 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,58 unequal: No Solution
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,58 unequal: No Solution
No 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: 58:[55, 64], Operations: ['64-7=57', '7+57=64']
Exploring Operation: 64-55=9, Resulting Numbers: [9]
9,58 unequal: No Solution
Exploring Operation: 55+64=119, Resulting Numbers: [119]
119,58 unequal: No Solution
Exploring Operation: 55*64=3520, Resulting Numbers: [3520]
3520,58 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: 58:[7, 55, 57], Operations: ['64-7=57']
Exploring Operation: 7+57=64, Resulting Numbers: [55, 64]
Generated Node #0,1,0: 58:[55, 64] Operation: 7+57=64
Exploring Operation: 57-55=2, Resulting Numbers: [7, 2]
Generated Node #0,1,1: 58:[7, 2] Operation: 57-55=2
Exploring Operation: 7+55=62, Resulting Numbers: [57, 62]
Generated Node #0,1,2: 58:[57, 62] Operation: 7+55=62
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 58:[7, 2], Operations: ['64-7=57', '57-55=2']
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,58 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,58 unequal: No Solution
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,58 unequal: No Solution
No 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: 58:[57, 62], Operations: ['64-7=57', '7+55=62']
Exploring Operation: 57*62=3534, Resulting Numbers: [3534]
3534,58 unequal: No Solution
Exploring Operation: 62-57=5, Resulting Numbers: [5]
5,58 unequal: No Solution
Exploring Operation: 57+62=119, Resulting Numbers: [119]
119,58 unequal: No Solution
No 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: 58:[55, 64], Operations: ['64-7=57', '7+57=64']
Exploring Operation: 64-55=9, Resulting Numbers: [9]
9,58 unequal: No Solution
Exploring Operation: 55*64=3520, Resulting Numbers: [3520]
3520,58 unequal: No Solution
Exploring Operation: 55+64=119, Resulting Numbers: [119]
119,58 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: 58:[64, 55, 1], Operations: ['7/7=1']
Exploring Operation: 64-1=63, Resulting Numbers: [55, 63]
Generated Node #0,2,0: 58:[55, 63] Operation: 64-1=63
Exploring Operation: 55+1=56, Resulting Numbers: [64, 56]
Generated Node #0,2,1: 58:[64, 56] Operation: 55+1=56
Exploring Operation: 64-55=9, Resulting Numbers: [1, 9]
Generated Node #0,2,2: 58:[1, 9] Operation: 64-55=9
Moving to Node #0,2,0
Current State: 58:[55, 63], Operations: ['7/7=1', '64-1=63']
Exploring Operation: 55*63=3465, Resulting Numbers: [3465]
3465,58 unequal: No Solution
Exploring Operation: 63-55=8, Resulting Numbers: [8]
8,58 unequal: No Solution
Exploring Operation: 55+63=118, Resulting Numbers: [118]
118,58 unequal: No Solution
Moving to Node #0,2,1
Current State: 58:[64, 56], Operations: ['7/7=1', '55+1=56']
Exploring Operation: 64+56=120, Resulting Numbers: [120]
120,58 unequal: No Solution
Exploring Operation: 64-56=8, Resulting Numbers: [8]
8,58 unequal: No Solution
Exploring Operation: 64*56=3584, Resulting Numbers: [3584]
3584,58 unequal: No Solution
Moving to Node #0,2,2
Current State: 58:[1, 9], Operations: ['7/7=1', '64-55=9']
Exploring Operation: 1*9=9, Resulting Numbers: [9]
9,58 unequal: No Solution
Exploring Operation: 9-1=8, Resulting Numbers: [8]
8,58 unequal: No Solution
Exploring Operation: 9/1=9, Resulting Numbers: [9]
9,58 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 |
[
1,
66,
68,
98
] | 36 | [
"1*66=66",
"98-68=30",
"66-30=36"
] | Current State: 36:[1, 66, 68, 98], Operations: []
Exploring Operation: 1*66=66, Resulting Numbers: [68, 98, 66]
Generated Node #2: [68, 98, 66] from Operation: 1*66=66
Current State: 36:[68, 98, 66], Operations: ['1*66=66']
Exploring Operation: 98-68=30, Resulting Numbers: [66, 30]
Generated Node #3: [66, 30] from Operation: 98-68=30
Current State: 36:[66, 30], Operations: ['1*66=66', '98-68=30']
Exploring Operation: 66-30=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[1, 66, 68, 98], Operations: []
Exploring Operation: 98-66=32, Resulting Numbers: [1, 68, 32]
Generated Node #0,0: 36:[1, 68, 32] Operation: 98-66=32
Exploring Operation: 98-68=30, Resulting Numbers: [1, 66, 30]
Generated Node #0,1: 36:[1, 66, 30] Operation: 98-68=30
Exploring Operation: 68-66=2, Resulting Numbers: [1, 98, 2]
Generated Node #0,2: 36:[1, 98, 2] Operation: 68-66=2
Moving to Node #0,0
Current State: 36:[1, 68, 32], Operations: ['98-66=32']
Exploring Operation: 1+32=33, Resulting Numbers: [68, 33]
Generated Node #0,0,0: 36:[68, 33] Operation: 1+32=33
Exploring Operation: 68-1=67, Resulting Numbers: [32, 67]
Generated Node #0,0,1: 36:[32, 67] Operation: 68-1=67
Exploring Operation: 68-32=36, Resulting Numbers: [1, 36]
Generated Node #0,0,2: 36:[1, 36] Operation: 68-32=36
Moving to Node #0,1
Current State: 36:[1, 66, 30], Operations: ['98-68=30']
Exploring Operation: 1+30=31, Resulting Numbers: [66, 31]
Generated Node #0,1,0: 36:[66, 31] Operation: 1+30=31
Exploring Operation: 66-1=65, Resulting Numbers: [30, 65]
Generated Node #0,1,1: 36:[30, 65] Operation: 66-1=65
Exploring Operation: 66-30=36, Resulting Numbers: [1, 36]
Generated Node #0,1,2: 36:[1, 36] Operation: 66-30=36
Moving to Node #0,2
Current State: 36:[1, 98, 2], Operations: ['68-66=2']
Exploring Operation: 98-1=97, Resulting Numbers: [2, 97]
Generated Node #0,2,0: 36:[2, 97] Operation: 98-1=97
Exploring Operation: 98-2=96, Resulting Numbers: [1, 96]
Generated Node #0,2,1: 36:[1, 96] Operation: 98-2=96
Exploring Operation: 98/2=49, Resulting Numbers: [1, 49]
Generated Node #0,2,2: 36:[1, 49] Operation: 98/2=49
Moving to Node #0,0,2
Current State: 36:[1, 36], Operations: ['98-66=32', '68-32=36']
Exploring Operation: 1+36=37, Resulting Numbers: [37]
37,36 unequal: No Solution
Exploring Operation: 1*36=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[1, 66, 68, 98], Operations: []
Exploring Operation: 98-66=32, Resulting Numbers: [1, 68, 32]
Generated Node #0,0: 36:[1, 68, 32] Operation: 98-66=32
Moving to Node #0,0
Current State: 36:[1, 68, 32], Operations: ['98-66=32']
Exploring Operation: 68-32=36, Resulting Numbers: [1, 36]
Generated Node #0,0,2: 36:[1, 36] Operation: 68-32=36
Moving to Node #0,0,2
Current State: 36:[1, 36], Operations: ['98-66=32', '68-32=36']
Exploring Operation: 1*36=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 0.984375 | hs_3 | mult_heuristic |
[
14,
47,
53,
87
] | 95 | [
"14+47=61",
"87-53=34",
"61+34=95"
] | Current State: 95:[14, 47, 53, 87], Operations: []
Exploring Operation: 14+47=61, Resulting Numbers: [53, 87, 61]
Generated Node #2: [53, 87, 61] from Operation: 14+47=61
Current State: 95:[53, 87, 61], Operations: ['14+47=61']
Exploring Operation: 87-53=34, Resulting Numbers: [61, 34]
Generated Node #3: [61, 34] from Operation: 87-53=34
Current State: 95:[61, 34], Operations: ['14+47=61', '87-53=34']
Exploring Operation: 61+34=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[14, 47, 53, 87], Operations: []
Exploring Operation: 53-47=6, Resulting Numbers: [14, 87, 6]
Generated Node #0,0: 95:[14, 87, 6] Operation: 53-47=6
Moving to Node #0,0
Current State: 95:[14, 87, 6], Operations: ['53-47=6']
Exploring Operation: 14+87=101, Resulting Numbers: [6, 101]
Generated Node #0,0,0: 95:[6, 101] Operation: 14+87=101
Moving to Node #0,0,0
Current State: 95:[6, 101], Operations: ['53-47=6', '14+87=101']
Exploring Operation: 101-6=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[14, 47, 53, 87], Operations: []
Exploring Operation: 53-47=6, Resulting Numbers: [14, 87, 6]
Generated Node #0,0: 95:[14, 87, 6] Operation: 53-47=6
Moving to Node #0,0
Current State: 95:[14, 87, 6], Operations: ['53-47=6']
Exploring Operation: 14+87=101, Resulting Numbers: [6, 101]
Generated Node #0,0,0: 95:[6, 101] Operation: 14+87=101
Moving to Node #0,0,0
Current State: 95:[6, 101], Operations: ['53-47=6', '14+87=101']
Exploring Operation: 101-6=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
91,
61,
79,
84
] | 54 | [
"91-79=12",
"84/12=7",
"61-7=54"
] | Current State: 54:[91, 61, 79, 84], Operations: []
Exploring Operation: 91-79=12, Resulting Numbers: [61, 84, 12]
Generated Node #2: [61, 84, 12] from Operation: 91-79=12
Current State: 54:[61, 84, 12], Operations: ['91-79=12']
Exploring Operation: 84/12=7, Resulting Numbers: [61, 7]
Generated Node #3: [61, 7] from Operation: 84/12=7
Current State: 54:[61, 7], Operations: ['91-79=12', '84/12=7']
Exploring Operation: 61-7=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[91, 61, 79, 84], Operations: []
Exploring Operation: 91-84=7, Resulting Numbers: [61, 79, 7]
Generated Node #0,0: 54:[61, 79, 7] Operation: 91-84=7
Exploring Operation: 91-79=12, Resulting Numbers: [61, 84, 12]
Generated Node #0,1: 54:[61, 84, 12] Operation: 91-79=12
Exploring Operation: 84-79=5, Resulting Numbers: [91, 61, 5]
Generated Node #0,2: 54:[91, 61, 5] Operation: 84-79=5
Exploring Operation: 84-61=23, Resulting Numbers: [91, 79, 23]
Generated Node #0,3: 54:[91, 79, 23] Operation: 84-61=23
Exploring Operation: 91-61=30, Resulting Numbers: [79, 84, 30]
Generated Node #0,4: 54:[79, 84, 30] Operation: 91-61=30
Moving to Node #0,0
Current State: 54:[61, 79, 7], Operations: ['91-84=7']
Exploring Operation: 61+7=68, Resulting Numbers: [79, 68]
Generated Node #0,0,0: 54:[79, 68] Operation: 61+7=68
Exploring Operation: 79-7=72, Resulting Numbers: [61, 72]
Generated Node #0,0,1: 54:[61, 72] Operation: 79-7=72
Exploring Operation: 61-7=54, Resulting Numbers: [79, 54]
Generated Node #0,0,2: 54:[79, 54] Operation: 61-7=54
Exploring Operation: 79+7=86, Resulting Numbers: [61, 86]
Generated Node #0,0,3: 54:[61, 86] Operation: 79+7=86
Exploring Operation: 79-61=18, Resulting Numbers: [7, 18]
Generated Node #0,0,4: 54:[7, 18] Operation: 79-61=18
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 54:[7, 18], Operations: ['91-84=7', '79-61=18']
Exploring Operation: 7*18=126, Resulting Numbers: [126]
126,54 unequal: No Solution
Exploring Operation: 7+18=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,54 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 #0,0,1
Current State: 54:[61, 72], Operations: ['91-84=7', '79-7=72']
Exploring Operation: 72-61=11, Resulting Numbers: [11]
11,54 unequal: No Solution
Exploring Operation: 61*72=4392, Resulting Numbers: [4392]
4392,54 unequal: No Solution
Exploring Operation: 61+72=133, Resulting Numbers: [133]
133,54 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 #0,0,2
Current State: 54:[79, 54], Operations: ['91-84=7', '61-7=54']
Exploring Operation: 79-54=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Exploring Operation: 79+54=133, Resulting Numbers: [133]
133,54 unequal: No Solution
Exploring Operation: 79*54=4266, Resulting Numbers: [4266]
4266,54 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 #0,0,0
Current State: 54:[79, 68], Operations: ['91-84=7', '61+7=68']
Exploring Operation: 79+68=147, Resulting Numbers: [147]
147,54 unequal: No Solution
Exploring Operation: 79*68=5372, Resulting Numbers: [5372]
5372,54 unequal: No Solution
Exploring Operation: 79-68=11, Resulting Numbers: [11]
11,54 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 #0,0,3
Current State: 54:[61, 86], Operations: ['91-84=7', '79+7=86']
Exploring Operation: 61+86=147, Resulting Numbers: [147]
147,54 unequal: No Solution
Exploring Operation: 86-61=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Exploring Operation: 61*86=5246, Resulting Numbers: [5246]
5246,54 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: 54:[61, 84, 12], Operations: ['91-79=12']
Exploring Operation: 84-12=72, Resulting Numbers: [61, 72]
Generated Node #0,1,0: 54:[61, 72] Operation: 84-12=72
Exploring Operation: 84-61=23, Resulting Numbers: [12, 23]
Generated Node #0,1,1: 54:[12, 23] Operation: 84-61=23
Exploring Operation: 61+12=73, Resulting Numbers: [84, 73]
Generated Node #0,1,2: 54:[84, 73] Operation: 61+12=73
Exploring Operation: 84/12=7, Resulting Numbers: [61, 7]
Generated Node #0,1,3: 54:[61, 7] Operation: 84/12=7
Exploring Operation: 61-12=49, Resulting Numbers: [84, 49]
Generated Node #0,1,4: 54:[84, 49] Operation: 61-12=49
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 54:[12, 23], Operations: ['91-79=12', '84-61=23']
Exploring Operation: 12+23=35, Resulting Numbers: [35]
35,54 unequal: No Solution
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,54 unequal: No Solution
Exploring Operation: 12*23=276, Resulting Numbers: [276]
276,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 54:[61, 7], Operations: ['91-79=12', '84/12=7']
Exploring Operation: 61*7=427, Resulting Numbers: [427]
427,54 unequal: No Solution
Exploring Operation: 61-7=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[91, 61, 79, 84], Operations: []
Exploring Operation: 91-79=12, Resulting Numbers: [61, 84, 12]
Generated Node #0,1: 54:[61, 84, 12] Operation: 91-79=12
Moving to Node #0,1
Current State: 54:[61, 84, 12], Operations: ['91-79=12']
Exploring Operation: 84/12=7, Resulting Numbers: [61, 7]
Generated Node #0,1,3: 54:[61, 7] Operation: 84/12=7
Moving to Node #0,1,3
Current State: 54:[61, 7], Operations: ['91-79=12', '84/12=7']
Exploring Operation: 61-7=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.966146 | hs_5 | mult_heuristic |
[
58,
26,
66,
71
] | 53 | [
"58+26=84",
"66+71=137",
"137-84=53"
] | Current State: 53:[58, 26, 66, 71], Operations: []
Exploring Operation: 58+26=84, Resulting Numbers: [66, 71, 84]
Generated Node #2: [66, 71, 84] from Operation: 58+26=84
Current State: 53:[66, 71, 84], Operations: ['58+26=84']
Exploring Operation: 66+71=137, Resulting Numbers: [84, 137]
Generated Node #3: [84, 137] from Operation: 66+71=137
Current State: 53:[84, 137], Operations: ['58+26=84', '66+71=137']
Exploring Operation: 137-84=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[58, 26, 66, 71], Operations: []
Exploring Operation: 71-26=45, Resulting Numbers: [58, 66, 45]
Generated Node #0,0: 53:[58, 66, 45] Operation: 71-26=45
Exploring Operation: 58+26=84, Resulting Numbers: [66, 71, 84]
Generated Node #0,1: 53:[66, 71, 84] Operation: 58+26=84
Exploring Operation: 58-26=32, Resulting Numbers: [66, 71, 32]
Generated Node #0,2: 53:[66, 71, 32] Operation: 58-26=32
Exploring Operation: 66-26=40, Resulting Numbers: [58, 71, 40]
Generated Node #0,3: 53:[58, 71, 40] Operation: 66-26=40
Moving to Node #0,0
Current State: 53:[58, 66, 45], Operations: ['71-26=45']
Exploring Operation: 58-45=13, Resulting Numbers: [66, 13]
Generated Node #0,0,0: 53:[66, 13] Operation: 58-45=13
Exploring Operation: 66-45=21, Resulting Numbers: [58, 21]
Generated Node #0,0,1: 53:[58, 21] Operation: 66-45=21
Exploring Operation: 66-58=8, Resulting Numbers: [45, 8]
Generated Node #0,0,2: 53:[45, 8] Operation: 66-58=8
Exploring Operation: 58+45=103, Resulting Numbers: [66, 103]
Generated Node #0,0,3: 53:[66, 103] Operation: 58+45=103
Moving to Node #0,3
Current State: 53:[58, 71, 40], Operations: ['66-26=40']
Exploring Operation: 58-40=18, Resulting Numbers: [71, 18]
Generated Node #0,3,0: 53:[71, 18] Operation: 58-40=18
Exploring Operation: 71-58=13, Resulting Numbers: [40, 13]
Generated Node #0,3,1: 53:[40, 13] Operation: 71-58=13
Exploring Operation: 58+40=98, Resulting Numbers: [71, 98]
Generated Node #0,3,2: 53:[71, 98] Operation: 58+40=98
Exploring Operation: 71-40=31, Resulting Numbers: [58, 31]
Generated Node #0,3,3: 53:[58, 31] Operation: 71-40=31
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 53:[58, 31], Operations: ['66-26=40', '71-40=31']
Exploring Operation: 58*31=1798, Resulting Numbers: [1798]
1798,53 unequal: No Solution
Exploring Operation: 58+31=89, Resulting Numbers: [89]
89,53 unequal: No Solution
Exploring Operation: 58-31=27, Resulting Numbers: [27]
27,53 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 #0,3,0
Current State: 53:[71, 18], Operations: ['66-26=40', '58-40=18']
Exploring Operation: 71*18=1278, Resulting Numbers: [1278]
1278,53 unequal: No Solution
Exploring Operation: 71-18=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[58, 26, 66, 71], Operations: []
Exploring Operation: 66-26=40, Resulting Numbers: [58, 71, 40]
Generated Node #0,3: 53:[58, 71, 40] Operation: 66-26=40
Moving to Node #0,3
Current State: 53:[58, 71, 40], Operations: ['66-26=40']
Exploring Operation: 58-40=18, Resulting Numbers: [71, 18]
Generated Node #0,3,0: 53:[71, 18] Operation: 58-40=18
Moving to Node #0,3,0
Current State: 53:[71, 18], Operations: ['66-26=40', '58-40=18']
Exploring Operation: 71-18=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | mult_heuristic |
[
80,
46,
18,
34
] | 19 | [
"80-46=34",
"34/34=1",
"18+1=19"
] | Current State: 19:[80, 46, 18, 34], Operations: []
Exploring Operation: 80-46=34, Resulting Numbers: [18, 34, 34]
Generated Node #2: [18, 34, 34] from Operation: 80-46=34
Current State: 19:[18, 34, 34], Operations: ['80-46=34']
Exploring Operation: 34/34=1, Resulting Numbers: [18, 1]
Generated Node #3: [18, 1] from Operation: 34/34=1
Current State: 19:[18, 1], Operations: ['80-46=34', '34/34=1']
Exploring Operation: 18+1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[80, 46, 18, 34], Operations: []
Exploring Operation: 46-34=12, Resulting Numbers: [80, 18, 12]
Generated Node #0,0: 19:[80, 18, 12] Operation: 46-34=12
Exploring Operation: 80-34=46, Resulting Numbers: [46, 18, 46]
Generated Node #0,1: 19:[46, 18, 46] Operation: 80-34=46
Exploring Operation: 80-46=34, Resulting Numbers: [18, 34, 34]
Generated Node #0,2: 19:[18, 34, 34] Operation: 80-46=34
Exploring Operation: 80-18=62, Resulting Numbers: [46, 34, 62]
Generated Node #0,3: 19:[46, 34, 62] Operation: 80-18=62
Start Sub Search at level 1: Moving to Node #0,2
Current State: 19:[18, 34, 34], Operations: ['80-46=34']
Exploring Operation: 34-18=16, Resulting Numbers: [34, 16]
Generated Node #0,2,0: 19:[34, 16] Operation: 34-18=16
Exploring Operation: 34-34=0, Resulting Numbers: [18, 0]
Generated Node #0,2,1: 19:[18, 0] Operation: 34-34=0
Exploring Operation: 34-18=16, Resulting Numbers: [34, 16]
Generated Node #0,2,2: 19:[34, 16] Operation: 34-18=16
Exploring Operation: 34/34=1, Resulting Numbers: [18, 1]
Generated Node #0,2,3: 19:[18, 1] Operation: 34/34=1
Moving to Node #0,2,0
Current State: 19:[34, 16], Operations: ['80-46=34', '34-18=16']
Exploring Operation: 34-16=18, Resulting Numbers: [18]
18,19 unequal: No Solution
Exploring Operation: 34*16=544, Resulting Numbers: [544]
544,19 unequal: No Solution
Exploring Operation: 34+16=50, Resulting Numbers: [50]
50,19 unequal: No Solution
Moving to Node #0,2,2
Current State: 19:[34, 16], Operations: ['80-46=34', '34-18=16']
Exploring Operation: 34+16=50, Resulting Numbers: [50]
50,19 unequal: No Solution
Exploring Operation: 34*16=544, Resulting Numbers: [544]
544,19 unequal: No Solution
Exploring Operation: 34-16=18, Resulting Numbers: [18]
18,19 unequal: No Solution
Moving to Node #0,2,3
Current State: 19:[18, 1], Operations: ['80-46=34', '34/34=1']
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,19 unequal: No Solution
Exploring Operation: 18/1=18, Resulting Numbers: [18]
18,19 unequal: No Solution
Exploring Operation: 18+1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[80, 46, 18, 34], Operations: []
Exploring Operation: 80-46=34, Resulting Numbers: [18, 34, 34]
Generated Node #0,2: 19:[18, 34, 34] Operation: 80-46=34
Moving to Node #0,2
Current State: 19:[18, 34, 34], Operations: ['80-46=34']
Exploring Operation: 34/34=1, Resulting Numbers: [18, 1]
Generated Node #0,2,3: 19:[18, 1] Operation: 34/34=1
Moving to Node #0,2,3
Current State: 19:[18, 1], Operations: ['80-46=34', '34/34=1']
Exploring Operation: 18+1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | mult_heuristic |
[
10,
35,
16,
45
] | 24 | [
"35+45=80",
"80/10=8",
"16+8=24"
] | Current State: 24:[10, 35, 16, 45], Operations: []
Exploring Operation: 35+45=80, Resulting Numbers: [10, 16, 80]
Generated Node #2: [10, 16, 80] from Operation: 35+45=80
Current State: 24:[10, 16, 80], Operations: ['35+45=80']
Exploring Operation: 80/10=8, Resulting Numbers: [16, 8]
Generated Node #3: [16, 8] from Operation: 80/10=8
Current State: 24:[16, 8], Operations: ['35+45=80', '80/10=8']
Exploring Operation: 16+8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[10, 35, 16, 45], Operations: []
Exploring Operation: 45-35=10, Resulting Numbers: [10, 16, 10]
Generated Node #0,0: 24:[10, 16, 10] Operation: 45-35=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[10, 16, 10], Operations: ['45-35=10']
Exploring Operation: 16-10=6, Resulting Numbers: [10, 6]
Generated Node #0,0,0: 24:[10, 6] Operation: 16-10=6
Moving to Node #0,0,0
Current State: 24:[10, 6], Operations: ['45-35=10', '16-10=6']
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,24 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 |
[
45,
22,
5,
25
] | 30 | [
"25-22=3",
"5*3=15",
"45-15=30"
] | Current State: 30:[45, 22, 5, 25], Operations: []
Exploring Operation: 25-22=3, Resulting Numbers: [45, 5, 3]
Generated Node #2: [45, 5, 3] from Operation: 25-22=3
Current State: 30:[45, 5, 3], Operations: ['25-22=3']
Exploring Operation: 5*3=15, Resulting Numbers: [45, 15]
Generated Node #3: [45, 15] from Operation: 5*3=15
Current State: 30:[45, 15], Operations: ['25-22=3', '5*3=15']
Exploring Operation: 45-15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[45, 22, 5, 25], Operations: []
Exploring Operation: 45-25=20, Resulting Numbers: [22, 5, 20]
Generated Node #0,0: 30:[22, 5, 20] Operation: 45-25=20
Exploring Operation: 45-22=23, Resulting Numbers: [5, 25, 23]
Generated Node #0,1: 30:[5, 25, 23] Operation: 45-22=23
Exploring Operation: 45/5=9, Resulting Numbers: [22, 25, 9]
Generated Node #0,2: 30:[22, 25, 9] Operation: 45/5=9
Moving to Node #0,0
Current State: 30:[22, 5, 20], Operations: ['45-25=20']
Exploring Operation: 22-20=2, Resulting Numbers: [5, 2]
Generated Node #0,0,0: 30:[5, 2] Operation: 22-20=2
Exploring Operation: 22-5=17, Resulting Numbers: [20, 17]
Generated Node #0,0,1: 30:[20, 17] Operation: 22-5=17
Exploring Operation: 20-5=15, Resulting Numbers: [22, 15]
Generated Node #0,0,2: 30:[22, 15] Operation: 20-5=15
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 30:[5, 2], Operations: ['45-25=20', '22-20=2']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,30 unequal: No Solution
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 30:[20, 17], Operations: ['45-25=20', '22-5=17']
Exploring Operation: 20+17=37, Resulting Numbers: [37]
37,30 unequal: No Solution
Exploring Operation: 20*17=340, Resulting Numbers: [340]
340,30 unequal: No Solution
Exploring Operation: 20-17=3, Resulting Numbers: [3]
3,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 30:[22, 15], Operations: ['45-25=20', '20-5=15']
Exploring Operation: 22-15=7, Resulting Numbers: [7]
7,30 unequal: No Solution
Exploring Operation: 22*15=330, Resulting Numbers: [330]
330,30 unequal: No Solution
Exploring Operation: 22+15=37, Resulting Numbers: [37]
37,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 30:[5, 25, 23], Operations: ['45-22=23']
Exploring Operation: 25-23=2, Resulting Numbers: [5, 2]
Generated Node #0,1,0: 30:[5, 2] Operation: 25-23=2
Exploring Operation: 25/5=5, Resulting Numbers: [23, 5]
Generated Node #0,1,1: 30:[23, 5] Operation: 25/5=5
Exploring Operation: 5+25=30, Resulting Numbers: [23, 30]
Generated Node #0,1,2: 30:[23, 30] Operation: 5+25=30
Moving to Node #0,2
Current State: 30:[22, 25, 9], Operations: ['45/5=9']
Exploring Operation: 22-9=13, Resulting Numbers: [25, 13]
Generated Node #0,2,0: 30:[25, 13] Operation: 22-9=13
Exploring Operation: 25-22=3, Resulting Numbers: [9, 3]
Generated Node #0,2,1: 30:[9, 3] Operation: 25-22=3
Exploring Operation: 22+9=31, Resulting Numbers: [25, 31]
Generated Node #0,2,2: 30:[25, 31] Operation: 22+9=31
Moving to Node #0,1,0
Current State: 30:[5, 2], Operations: ['45-22=23', '25-23=2']
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,30 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,30 unequal: No Solution
Moving to Node #0,2,1
Current State: 30:[9, 3], Operations: ['45/5=9', '25-22=3']
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,30 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,30 unequal: No Solution
Moving to Node #0,2,2
Current State: 30:[25, 31], Operations: ['45/5=9', '22+9=31']
Exploring Operation: 25*31=775, Resulting Numbers: [775]
775,30 unequal: No Solution
Exploring Operation: 31-25=6, Resulting Numbers: [6]
6,30 unequal: No Solution
Exploring Operation: 25+31=56, Resulting Numbers: [56]
56,30 unequal: No Solution
Moving to Node #0,1,2
Current State: 30:[23, 30], Operations: ['45-22=23', '5+25=30']
Exploring Operation: 23*30=690, Resulting Numbers: [690]
690,30 unequal: No Solution
Exploring Operation: 23+30=53, Resulting Numbers: [53]
53,30 unequal: No Solution
Exploring Operation: 30-23=7, Resulting Numbers: [7]
7,30 unequal: No Solution
Moving to Node #0,1,1
Current State: 30:[23, 5], Operations: ['45-22=23', '25/5=5']
Exploring Operation: 23*5=115, Resulting Numbers: [115]
115,30 unequal: No Solution
Exploring Operation: 23+5=28, Resulting Numbers: [28]
28,30 unequal: No Solution
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,30 unequal: No Solution
Moving to Node #0,2,0
Current State: 30:[25, 13], Operations: ['45/5=9', '22-9=13']
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,30 unequal: No Solution
Exploring Operation: 25*13=325, Resulting Numbers: [325]
325,30 unequal: No Solution
Exploring Operation: 25+13=38, Resulting Numbers: [38]
38,30 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
6,
75,
19,
13
] | 22 | [
"6*13=78",
"75-19=56",
"78-56=22"
] | Current State: 22:[6, 75, 19, 13], Operations: []
Exploring Operation: 6*13=78, Resulting Numbers: [75, 19, 78]
Generated Node #2: [75, 19, 78] from Operation: 6*13=78
Current State: 22:[75, 19, 78], Operations: ['6*13=78']
Exploring Operation: 75-19=56, Resulting Numbers: [78, 56]
Generated Node #3: [78, 56] from Operation: 75-19=56
Current State: 22:[78, 56], Operations: ['6*13=78', '75-19=56']
Exploring Operation: 78-56=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[6, 75, 19, 13], Operations: []
Exploring Operation: 75-19=56, Resulting Numbers: [6, 13, 56]
Generated Node #0,0: 22:[6, 13, 56] Operation: 75-19=56
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[6, 13, 56], Operations: ['75-19=56']
Exploring Operation: 56-13=43, Resulting Numbers: [6, 43]
Generated Node #0,0,0: 22:[6, 43] Operation: 56-13=43
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 22:[6, 43], Operations: ['75-19=56', '56-13=43']
Exploring Operation: 43-6=37, Resulting Numbers: [37]
37,22 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 |
[
63,
24,
9,
53
] | 83 | [
"63-24=39",
"53-9=44",
"39+44=83"
] | Current State: 83:[63, 24, 9, 53], Operations: []
Exploring Operation: 63-24=39, Resulting Numbers: [9, 53, 39]
Generated Node #2: [9, 53, 39] from Operation: 63-24=39
Current State: 83:[9, 53, 39], Operations: ['63-24=39']
Exploring Operation: 53-9=44, Resulting Numbers: [39, 44]
Generated Node #3: [39, 44] from Operation: 53-9=44
Current State: 83:[39, 44], Operations: ['63-24=39', '53-9=44']
Exploring Operation: 39+44=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[63, 24, 9, 53], Operations: []
Exploring Operation: 63+9=72, Resulting Numbers: [24, 53, 72]
Generated Node #0,0: 83:[24, 53, 72] Operation: 63+9=72
Exploring Operation: 24+9=33, Resulting Numbers: [63, 53, 33]
Generated Node #0,1: 83:[63, 53, 33] Operation: 24+9=33
Exploring Operation: 9+53=62, Resulting Numbers: [63, 24, 62]
Generated Node #0,2: 83:[63, 24, 62] Operation: 9+53=62
Exploring Operation: 24+53=77, Resulting Numbers: [63, 9, 77]
Generated Node #0,3: 83:[63, 9, 77] Operation: 24+53=77
Moving to Node #0,0
Current State: 83:[24, 53, 72], Operations: ['63+9=72']
Exploring Operation: 24+72=96, Resulting Numbers: [53, 96]
Generated Node #0,0,0: 83:[53, 96] Operation: 24+72=96
Exploring Operation: 72-24=48, Resulting Numbers: [53, 48]
Generated Node #0,0,1: 83:[53, 48] Operation: 72-24=48
Exploring Operation: 24+53=77, Resulting Numbers: [72, 77]
Generated Node #0,0,2: 83:[72, 77] Operation: 24+53=77
Exploring Operation: 53-24=29, Resulting Numbers: [72, 29]
Generated Node #0,0,3: 83:[72, 29] Operation: 53-24=29
Moving to Node #0,2
Current State: 83:[63, 24, 62], Operations: ['9+53=62']
Exploring Operation: 24+62=86, Resulting Numbers: [63, 86]
Generated Node #0,2,0: 83:[63, 86] Operation: 24+62=86
Exploring Operation: 63-24=39, Resulting Numbers: [62, 39]
Generated Node #0,2,1: 83:[62, 39] Operation: 63-24=39
Exploring Operation: 63+24=87, Resulting Numbers: [62, 87]
Generated Node #0,2,2: 83:[62, 87] Operation: 63+24=87
Exploring Operation: 62-24=38, Resulting Numbers: [63, 38]
Generated Node #0,2,3: 83:[63, 38] Operation: 62-24=38
Moving to Node #0,1
Current State: 83:[63, 53, 33], Operations: ['24+9=33']
Exploring Operation: 63+33=96, Resulting Numbers: [53, 96]
Generated Node #0,1,0: 83:[53, 96] Operation: 63+33=96
Exploring Operation: 63+53=116, Resulting Numbers: [33, 116]
Generated Node #0,1,1: 83:[33, 116] Operation: 63+53=116
Exploring Operation: 53+33=86, Resulting Numbers: [63, 86]
Generated Node #0,1,2: 83:[63, 86] Operation: 53+33=86
Exploring Operation: 63-33=30, Resulting Numbers: [53, 30]
Generated Node #0,1,3: 83:[53, 30] Operation: 63-33=30
Moving to Node #0,3
Current State: 83:[63, 9, 77], Operations: ['24+53=77']
Exploring Operation: 63-9=54, Resulting Numbers: [77, 54]
Generated Node #0,3,0: 83:[77, 54] Operation: 63-9=54
Exploring Operation: 9+77=86, Resulting Numbers: [63, 86]
Generated Node #0,3,1: 83:[63, 86] Operation: 9+77=86
Exploring Operation: 77-9=68, Resulting Numbers: [63, 68]
Generated Node #0,3,2: 83:[63, 68] Operation: 77-9=68
Exploring Operation: 63+9=72, Resulting Numbers: [77, 72]
Generated Node #0,3,3: 83:[77, 72] Operation: 63+9=72
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 83:[77, 72], Operations: ['24+53=77', '63+9=72']
Exploring Operation: 77-72=5, Resulting Numbers: [5]
5,83 unequal: No Solution
Exploring Operation: 77*72=5544, Resulting Numbers: [5544]
5544,83 unequal: No Solution
Exploring Operation: 77+72=149, Resulting Numbers: [149]
149,83 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:[63, 86], Operations: ['24+53=77', '9+77=86']
Exploring Operation: 63+86=149, Resulting Numbers: [149]
149,83 unequal: No Solution
Exploring Operation: 63*86=5418, Resulting Numbers: [5418]
5418,83 unequal: No Solution
Exploring Operation: 86-63=23, Resulting Numbers: [23]
23,83 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:[77, 54], Operations: ['24+53=77', '63-9=54']
Exploring Operation: 77+54=131, Resulting Numbers: [131]
131,83 unequal: No Solution
Exploring Operation: 77*54=4158, Resulting Numbers: [4158]
4158,83 unequal: No Solution
Exploring Operation: 77-54=23, Resulting Numbers: [23]
23,83 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 #0,3,2
Current State: 83:[63, 68], Operations: ['24+53=77', '77-9=68']
Exploring Operation: 63+68=131, Resulting Numbers: [131]
131,83 unequal: No Solution
Exploring Operation: 68-63=5, Resulting Numbers: [5]
5,83 unequal: No Solution
Exploring Operation: 63*68=4284, Resulting Numbers: [4284]
4284,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 83:[72, 77], Operations: ['63+9=72', '24+53=77']
Exploring Operation: 77-72=5, Resulting Numbers: [5]
5,83 unequal: No Solution
Exploring Operation: 72*77=5544, Resulting Numbers: [5544]
5544,83 unequal: No Solution
Exploring Operation: 72+77=149, Resulting Numbers: [149]
149,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[63, 86], Operations: ['9+53=62', '24+62=86']
Exploring Operation: 63+86=149, Resulting Numbers: [149]
149,83 unequal: No Solution
Exploring Operation: 86-63=23, Resulting Numbers: [23]
23,83 unequal: No Solution
Exploring Operation: 63*86=5418, Resulting Numbers: [5418]
5418,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[63, 86], Operations: ['24+9=33', '53+33=86']
Exploring Operation: 63*86=5418, Resulting Numbers: [5418]
5418,83 unequal: No Solution
Exploring Operation: 63+86=149, Resulting Numbers: [149]
149,83 unequal: No Solution
Exploring Operation: 86-63=23, Resulting Numbers: [23]
23,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[62, 87], Operations: ['9+53=62', '63+24=87']
Exploring Operation: 87-62=25, Resulting Numbers: [25]
25,83 unequal: No Solution
Exploring Operation: 62+87=149, Resulting Numbers: [149]
149,83 unequal: No Solution
Exploring Operation: 62*87=5394, Resulting Numbers: [5394]
5394,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[53, 96], Operations: ['63+9=72', '24+72=96']
Exploring Operation: 53*96=5088, Resulting Numbers: [5088]
5088,83 unequal: No Solution
Exploring Operation: 96-53=43, Resulting Numbers: [43]
43,83 unequal: No Solution
Exploring Operation: 53+96=149, Resulting Numbers: [149]
149,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[53, 96], Operations: ['24+9=33', '63+33=96']
Exploring Operation: 53*96=5088, Resulting Numbers: [5088]
5088,83 unequal: No Solution
Exploring Operation: 96-53=43, Resulting Numbers: [43]
43,83 unequal: No Solution
Exploring Operation: 53+96=149, Resulting Numbers: [149]
149,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[62, 39], Operations: ['9+53=62', '63-24=39']
Exploring Operation: 62+39=101, Resulting Numbers: [101]
101,83 unequal: No Solution
Exploring Operation: 62*39=2418, Resulting Numbers: [2418]
2418,83 unequal: No Solution
Exploring Operation: 62-39=23, Resulting Numbers: [23]
23,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[53, 48], Operations: ['63+9=72', '72-24=48']
Exploring Operation: 53*48=2544, Resulting Numbers: [2544]
2544,83 unequal: No Solution
Exploring Operation: 53+48=101, Resulting Numbers: [101]
101,83 unequal: No Solution
Exploring Operation: 53-48=5, Resulting Numbers: [5]
5,83 unequal: No Solution
Moving to Node #0,0,3
Current State: 83:[72, 29], Operations: ['63+9=72', '53-24=29']
Exploring Operation: 72*29=2088, Resulting Numbers: [2088]
2088,83 unequal: No Solution
Exploring Operation: 72+29=101, Resulting Numbers: [101]
101,83 unequal: No Solution
Exploring Operation: 72-29=43, Resulting Numbers: [43]
43,83 unequal: No Solution
Moving to Node #0,2,3
Current State: 83:[63, 38], Operations: ['9+53=62', '62-24=38']
Exploring Operation: 63-38=25, Resulting Numbers: [25]
25,83 unequal: No Solution
Exploring Operation: 63+38=101, Resulting Numbers: [101]
101,83 unequal: No Solution
Exploring Operation: 63*38=2394, Resulting Numbers: [2394]
2394,83 unequal: No Solution
Moving to Node #0,1,3
Current State: 83:[53, 30], Operations: ['24+9=33', '63-33=30']
Exploring Operation: 53-30=23, Resulting Numbers: [23]
23,83 unequal: No Solution
Exploring Operation: 53*30=1590, Resulting Numbers: [1590]
1590,83 unequal: No Solution
Exploring Operation: 53+30=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[63, 24, 9, 53], Operations: []
Exploring Operation: 24+9=33, Resulting Numbers: [63, 53, 33]
Generated Node #0,1: 83:[63, 53, 33] Operation: 24+9=33
Moving to Node #0,1
Current State: 83:[63, 53, 33], Operations: ['24+9=33']
Exploring Operation: 63-33=30, Resulting Numbers: [53, 30]
Generated Node #0,1,3: 83:[53, 30] Operation: 63-33=30
Moving to Node #0,1,3
Current State: 83:[53, 30], Operations: ['24+9=33', '63-33=30']
Exploring Operation: 53+30=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 0.940104 | hs_4 | sum_heuristic |
[
40,
25,
42,
30
] | 85 | [
"42-40=2",
"30*2=60",
"25+60=85"
] | Current State: 85:[40, 25, 42, 30], Operations: []
Exploring Operation: 42-40=2, Resulting Numbers: [25, 30, 2]
Generated Node #2: [25, 30, 2] from Operation: 42-40=2
Current State: 85:[25, 30, 2], Operations: ['42-40=2']
Exploring Operation: 30*2=60, Resulting Numbers: [25, 60]
Generated Node #3: [25, 60] from Operation: 30*2=60
Current State: 85:[25, 60], Operations: ['42-40=2', '30*2=60']
Exploring Operation: 25+60=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[40, 25, 42, 30], Operations: []
Exploring Operation: 42-25=17, Resulting Numbers: [40, 30, 17]
Generated Node #0,0: 85:[40, 30, 17] Operation: 42-25=17
Exploring Operation: 42-30=12, Resulting Numbers: [40, 25, 12]
Generated Node #0,1: 85:[40, 25, 12] Operation: 42-30=12
Exploring Operation: 40+42=82, Resulting Numbers: [25, 30, 82]
Generated Node #0,2: 85:[25, 30, 82] Operation: 40+42=82
Exploring Operation: 42-40=2, Resulting Numbers: [25, 30, 2]
Generated Node #0,3: 85:[25, 30, 2] Operation: 42-40=2
Exploring Operation: 40-30=10, Resulting Numbers: [25, 42, 10]
Generated Node #0,4: 85:[25, 42, 10] Operation: 40-30=10
Start Sub Search at level 1: Moving to Node #0,2
Current State: 85:[25, 30, 82], Operations: ['40+42=82']
Exploring Operation: 30-25=5, Resulting Numbers: [82, 5]
Generated Node #0,2,0: 85:[82, 5] Operation: 30-25=5
Exploring Operation: 25+82=107, Resulting Numbers: [30, 107]
Generated Node #0,2,1: 85:[30, 107] Operation: 25+82=107
Exploring Operation: 30+82=112, Resulting Numbers: [25, 112]
Generated Node #0,2,2: 85:[25, 112] Operation: 30+82=112
Exploring Operation: 82-25=57, Resulting Numbers: [30, 57]
Generated Node #0,2,3: 85:[30, 57] Operation: 82-25=57
Exploring Operation: 25+30=55, Resulting Numbers: [82, 55]
Generated Node #0,2,4: 85:[82, 55] Operation: 25+30=55
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 85:[82, 5], Operations: ['40+42=82', '30-25=5']
Exploring Operation: 82-5=77, Resulting Numbers: [77]
77,85 unequal: No Solution
Exploring Operation: 82+5=87, Resulting Numbers: [87]
87,85 unequal: No Solution
Exploring Operation: 82*5=410, Resulting Numbers: [410]
410,85 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:[82, 55], Operations: ['40+42=82', '25+30=55']
Exploring Operation: 82+55=137, Resulting Numbers: [137]
137,85 unequal: No Solution
Exploring Operation: 82*55=4510, Resulting Numbers: [4510]
4510,85 unequal: No Solution
Exploring Operation: 82-55=27, Resulting Numbers: [27]
27,85 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:[30, 107], Operations: ['40+42=82', '25+82=107']
Exploring Operation: 30+107=137, Resulting Numbers: [137]
137,85 unequal: No Solution
Exploring Operation: 30*107=3210, Resulting Numbers: [3210]
3210,85 unequal: No Solution
Exploring Operation: 107-30=77, Resulting Numbers: [77]
77,85 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, 112], Operations: ['40+42=82', '30+82=112']
Exploring Operation: 25+112=137, Resulting Numbers: [137]
137,85 unequal: No Solution
Exploring Operation: 25*112=2800, Resulting Numbers: [2800]
2800,85 unequal: No Solution
Exploring Operation: 112-25=87, Resulting Numbers: [87]
87,85 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:[30, 57], Operations: ['40+42=82', '82-25=57']
Exploring Operation: 57-30=27, Resulting Numbers: [27]
27,85 unequal: No Solution
Exploring Operation: 30+57=87, Resulting Numbers: [87]
87,85 unequal: No Solution
Exploring Operation: 30*57=1710, Resulting Numbers: [1710]
1710,85 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:[25, 30, 2], Operations: ['42-40=2']
Exploring Operation: 25-2=23, Resulting Numbers: [30, 23]
Generated Node #0,3,0: 85:[30, 23] Operation: 25-2=23
Exploring Operation: 25+2=27, Resulting Numbers: [30, 27]
Generated Node #0,3,1: 85:[30, 27] Operation: 25+2=27
Exploring Operation: 30-2=28, Resulting Numbers: [25, 28]
Generated Node #0,3,2: 85:[25, 28] Operation: 30-2=28
Exploring Operation: 30-25=5, Resulting Numbers: [2, 5]
Generated Node #0,3,3: 85:[2, 5] Operation: 30-25=5
Exploring Operation: 30/2=15, Resulting Numbers: [25, 15]
Generated Node #0,3,4: 85:[25, 15] Operation: 30/2=15
Moving to Node #0,3,3
Current State: 85:[2, 5], Operations: ['42-40=2', '30-25=5']
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,85 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,85 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,85 unequal: No Solution
Moving to Node #0,3,4
Current State: 85:[25, 15], Operations: ['42-40=2', '30/2=15']
Exploring Operation: 25-15=10, Resulting Numbers: [10]
10,85 unequal: No Solution
Exploring Operation: 25*15=375, Resulting Numbers: [375]
375,85 unequal: No Solution
Exploring Operation: 25+15=40, Resulting Numbers: [40]
40,85 unequal: No Solution
Moving to Node #0,3,0
Current State: 85:[30, 23], Operations: ['42-40=2', '25-2=23']
Exploring Operation: 30+23=53, Resulting Numbers: [53]
53,85 unequal: No Solution
Exploring Operation: 30-23=7, Resulting Numbers: [7]
7,85 unequal: No Solution
Exploring Operation: 30*23=690, Resulting Numbers: [690]
690,85 unequal: No Solution
Moving to Node #0,3,2
Current State: 85:[25, 28], Operations: ['42-40=2', '30-2=28']
Exploring Operation: 25+28=53, Resulting Numbers: [53]
53,85 unequal: No Solution
Exploring Operation: 28-25=3, Resulting Numbers: [3]
3,85 unequal: No Solution
Exploring Operation: 25*28=700, Resulting Numbers: [700]
700,85 unequal: No Solution
Moving to Node #0,3,1
Current State: 85:[30, 27], Operations: ['42-40=2', '25+2=27']
Exploring Operation: 30*27=810, Resulting Numbers: [810]
810,85 unequal: No Solution
Exploring Operation: 30-27=3, Resulting Numbers: [3]
3,85 unequal: No Solution
Exploring Operation: 30+27=57, Resulting Numbers: [57]
57,85 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:[40, 30, 17], Operations: ['42-25=17']
Exploring Operation: 40-30=10, Resulting Numbers: [17, 10]
Generated Node #0,0,0: 85:[17, 10] Operation: 40-30=10
Exploring Operation: 40+30=70, Resulting Numbers: [17, 70]
Generated Node #0,0,1: 85:[17, 70] Operation: 40+30=70
Exploring Operation: 40-17=23, Resulting Numbers: [30, 23]
Generated Node #0,0,2: 85:[30, 23] Operation: 40-17=23
Exploring Operation: 30-17=13, Resulting Numbers: [40, 13]
Generated Node #0,0,3: 85:[40, 13] Operation: 30-17=13
Exploring Operation: 40+17=57, Resulting Numbers: [30, 57]
Generated Node #0,0,4: 85:[30, 57] Operation: 40+17=57
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 85:[17, 10], Operations: ['42-25=17', '40-30=10']
Exploring Operation: 17+10=27, Resulting Numbers: [27]
27,85 unequal: No Solution
Exploring Operation: 17*10=170, Resulting Numbers: [170]
170,85 unequal: No Solution
Exploring Operation: 17-10=7, Resulting Numbers: [7]
7,85 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 #0,0,1
Current State: 85:[17, 70], Operations: ['42-25=17', '40+30=70']
Exploring Operation: 70-17=53, Resulting Numbers: [53]
53,85 unequal: No Solution
Exploring Operation: 17+70=87, Resulting Numbers: [87]
87,85 unequal: No Solution
Exploring Operation: 17*70=1190, Resulting Numbers: [1190]
1190,85 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 #0,0,2
Current State: 85:[30, 23], Operations: ['42-25=17', '40-17=23']
Exploring Operation: 30-23=7, Resulting Numbers: [7]
7,85 unequal: No Solution
Exploring Operation: 30*23=690, Resulting Numbers: [690]
690,85 unequal: No Solution
Exploring Operation: 30+23=53, Resulting Numbers: [53]
53,85 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 #0,0,3
Current State: 85:[40, 13], Operations: ['42-25=17', '30-17=13']
Exploring Operation: 40*13=520, Resulting Numbers: [520]
520,85 unequal: No Solution
Exploring Operation: 40+13=53, Resulting Numbers: [53]
53,85 unequal: No Solution
Exploring Operation: 40-13=27, Resulting Numbers: [27]
27,85 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 #0,0,4
Current State: 85:[30, 57], Operations: ['42-25=17', '40+17=57']
Exploring Operation: 30+57=87, Resulting Numbers: [87]
87,85 unequal: No Solution
Exploring Operation: 30*57=1710, Resulting Numbers: [1710]
1710,85 unequal: No Solution
Exploring Operation: 57-30=27, Resulting Numbers: [27]
27,85 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:[40, 25, 12], Operations: ['42-30=12']
Exploring Operation: 40+25=65, Resulting Numbers: [12, 65]
Generated Node #0,1,0: 85:[12, 65] Operation: 40+25=65
Exploring Operation: 40+12=52, Resulting Numbers: [25, 52]
Generated Node #0,1,1: 85:[25, 52] Operation: 40+12=52
Exploring Operation: 40-12=28, Resulting Numbers: [25, 28]
Generated Node #0,1,2: 85:[25, 28] Operation: 40-12=28
Exploring Operation: 40-25=15, Resulting Numbers: [12, 15]
Generated Node #0,1,3: 85:[12, 15] Operation: 40-25=15
Exploring Operation: 25-12=13, Resulting Numbers: [40, 13]
Generated Node #0,1,4: 85:[40, 13] Operation: 25-12=13
Moving to Node #0,1,3
Current State: 85:[12, 15], Operations: ['42-30=12', '40-25=15']
Exploring Operation: 12*15=180, Resulting Numbers: [180]
180,85 unequal: No Solution
Exploring Operation: 15-12=3, Resulting Numbers: [3]
3,85 unequal: No Solution
Exploring Operation: 12+15=27, Resulting Numbers: [27]
27,85 unequal: No Solution
Moving to Node #0,1,2
Current State: 85:[25, 28], Operations: ['42-30=12', '40-12=28']
Exploring Operation: 25+28=53, Resulting Numbers: [53]
53,85 unequal: No Solution
Exploring Operation: 25*28=700, Resulting Numbers: [700]
700,85 unequal: No Solution
Exploring Operation: 28-25=3, Resulting Numbers: [3]
3,85 unequal: No Solution
Moving to Node #0,1,0
Current State: 85:[12, 65], Operations: ['42-30=12', '40+25=65']
Exploring Operation: 65-12=53, Resulting Numbers: [53]
53,85 unequal: No Solution
Exploring Operation: 12*65=780, Resulting Numbers: [780]
780,85 unequal: No Solution
Exploring Operation: 12+65=77, Resulting Numbers: [77]
77,85 unequal: No Solution
Moving to Node #0,1,4
Current State: 85:[40, 13], Operations: ['42-30=12', '25-12=13']
Exploring Operation: 40-13=27, Resulting Numbers: [27]
27,85 unequal: No Solution
Exploring Operation: 40+13=53, Resulting Numbers: [53]
53,85 unequal: No Solution
Exploring Operation: 40*13=520, Resulting Numbers: [520]
520,85 unequal: No Solution
Moving to Node #0,1,1
Current State: 85:[25, 52], Operations: ['42-30=12', '40+12=52']
Exploring Operation: 25*52=1300, Resulting Numbers: [1300]
1300,85 unequal: No Solution
Exploring Operation: 25+52=77, Resulting Numbers: [77]
77,85 unequal: No Solution
Exploring Operation: 52-25=27, Resulting Numbers: [27]
27,85 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:[25, 42, 10], Operations: ['40-30=10']
Exploring Operation: 25-10=15, Resulting Numbers: [42, 15]
Generated Node #0,4,0: 85:[42, 15] Operation: 25-10=15
Exploring Operation: 42+10=52, Resulting Numbers: [25, 52]
Generated Node #0,4,1: 85:[25, 52] Operation: 42+10=52
Exploring Operation: 42-10=32, Resulting Numbers: [25, 32]
Generated Node #0,4,2: 85:[25, 32] Operation: 42-10=32
Exploring Operation: 42-25=17, Resulting Numbers: [10, 17]
Generated Node #0,4,3: 85:[10, 17] Operation: 42-25=17
Exploring Operation: 25+42=67, Resulting Numbers: [10, 67]
Generated Node #0,4,4: 85:[10, 67] Operation: 25+42=67
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 85:[10, 17], Operations: ['40-30=10', '42-25=17']
Exploring Operation: 10+17=27, Resulting Numbers: [27]
27,85 unequal: No Solution
Exploring Operation: 17-10=7, Resulting Numbers: [7]
7,85 unequal: No Solution
Exploring Operation: 10*17=170, Resulting Numbers: [170]
170,85 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:[25, 32], Operations: ['40-30=10', '42-10=32']
Exploring Operation: 25+32=57, Resulting Numbers: [57]
57,85 unequal: No Solution
Exploring Operation: 25*32=800, Resulting Numbers: [800]
800,85 unequal: No Solution
Exploring Operation: 32-25=7, Resulting Numbers: [7]
7,85 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:[10, 67], Operations: ['40-30=10', '25+42=67']
Exploring Operation: 10+67=77, Resulting Numbers: [77]
77,85 unequal: No Solution
Exploring Operation: 10*67=670, Resulting Numbers: [670]
670,85 unequal: No Solution
Exploring Operation: 67-10=57, Resulting Numbers: [57]
57,85 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 #0,4,0
Current State: 85:[42, 15], Operations: ['40-30=10', '25-10=15']
Exploring Operation: 42+15=57, Resulting Numbers: [57]
57,85 unequal: No Solution
Exploring Operation: 42*15=630, Resulting Numbers: [630]
630,85 unequal: No Solution
Exploring Operation: 42-15=27, Resulting Numbers: [27]
27,85 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:[25, 52], Operations: ['40-30=10', '42+10=52']
Exploring Operation: 25*52=1300, Resulting Numbers: [1300]
1300,85 unequal: No Solution
Exploring Operation: 52-25=27, Resulting Numbers: [27]
27,85 unequal: No Solution
Exploring Operation: 25+52=77, Resulting Numbers: [77]
77,85 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 | sum_heuristic |
[
3,
61,
37,
75
] | 54 | [
"61-3=58",
"37+75=112",
"112-58=54"
] | Current State: 54:[3, 61, 37, 75], Operations: []
Exploring Operation: 61-3=58, Resulting Numbers: [37, 75, 58]
Generated Node #2: [37, 75, 58] from Operation: 61-3=58
Current State: 54:[37, 75, 58], Operations: ['61-3=58']
Exploring Operation: 37+75=112, Resulting Numbers: [58, 112]
Generated Node #3: [58, 112] from Operation: 37+75=112
Current State: 54:[58, 112], Operations: ['61-3=58', '37+75=112']
Exploring Operation: 112-58=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[3, 61, 37, 75], Operations: []
Exploring Operation: 75-61=14, Resulting Numbers: [3, 37, 14]
Generated Node #0,0: 54:[3, 37, 14] Operation: 75-61=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[3, 37, 14], Operations: ['75-61=14']
Exploring Operation: 37+14=51, Resulting Numbers: [3, 51]
Generated Node #0,0,0: 54:[3, 51] Operation: 37+14=51
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 54:[3, 51], Operations: ['75-61=14', '37+14=51']
Exploring Operation: 3+51=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[3, 61, 37, 75], Operations: []
Exploring Operation: 75-61=14, Resulting Numbers: [3, 37, 14]
Generated Node #0,0: 54:[3, 37, 14] Operation: 75-61=14
Moving to Node #0,0
Current State: 54:[3, 37, 14], Operations: ['75-61=14']
Exploring Operation: 37+14=51, Resulting Numbers: [3, 51]
Generated Node #0,0,0: 54:[3, 51] Operation: 37+14=51
Moving to Node #0,0,0
Current State: 54:[3, 51], Operations: ['75-61=14', '37+14=51']
Exploring Operation: 3+51=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
44,
18,
2,
11
] | 91 | [
"44+11=55",
"18*2=36",
"55+36=91"
] | Current State: 91:[44, 18, 2, 11], Operations: []
Exploring Operation: 44+11=55, Resulting Numbers: [18, 2, 55]
Generated Node #2: [18, 2, 55] from Operation: 44+11=55
Current State: 91:[18, 2, 55], Operations: ['44+11=55']
Exploring Operation: 18*2=36, Resulting Numbers: [55, 36]
Generated Node #3: [55, 36] from Operation: 18*2=36
Current State: 91:[55, 36], Operations: ['44+11=55', '18*2=36']
Exploring Operation: 55+36=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[44, 18, 2, 11], Operations: []
Exploring Operation: 44*2=88, Resulting Numbers: [18, 11, 88]
Generated Node #0,0: 91:[18, 11, 88] Operation: 44*2=88
Exploring Operation: 44/11=4, Resulting Numbers: [18, 2, 4]
Generated Node #0,1: 91:[18, 2, 4] Operation: 44/11=4
Exploring Operation: 44-18=26, Resulting Numbers: [2, 11, 26]
Generated Node #0,2: 91:[2, 11, 26] Operation: 44-18=26
Exploring Operation: 44/2=22, Resulting Numbers: [18, 11, 22]
Generated Node #0,3: 91:[18, 11, 22] Operation: 44/2=22
Moving to Node #0,0
Current State: 91:[18, 11, 88], Operations: ['44*2=88']
Exploring Operation: 18+88=106, Resulting Numbers: [11, 106]
Generated Node #0,0,0: 91:[11, 106] Operation: 18+88=106
Exploring Operation: 18-11=7, Resulting Numbers: [88, 7]
Generated Node #0,0,1: 91:[88, 7] Operation: 18-11=7
Exploring Operation: 11+88=99, Resulting Numbers: [18, 99]
Generated Node #0,0,2: 91:[18, 99] Operation: 11+88=99
Exploring Operation: 88/11=8, Resulting Numbers: [18, 8]
Generated Node #0,0,3: 91:[18, 8] Operation: 88/11=8
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 91:[88, 7], Operations: ['44*2=88', '18-11=7']
Exploring Operation: 88*7=616, Resulting Numbers: [616]
616,91 unequal: No Solution
Exploring Operation: 88+7=95, Resulting Numbers: [95]
95,91 unequal: No Solution
Exploring Operation: 88-7=81, Resulting Numbers: [81]
81,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 91:[18, 8], Operations: ['44*2=88', '88/11=8']
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,91 unequal: No Solution
Exploring Operation: 18+8=26, Resulting Numbers: [26]
26,91 unequal: No Solution
Exploring Operation: 18*8=144, Resulting Numbers: [144]
144,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 91:[18, 99], Operations: ['44*2=88', '11+88=99']
Exploring Operation: 99-18=81, Resulting Numbers: [81]
81,91 unequal: No Solution
Exploring Operation: 18+99=117, Resulting Numbers: [117]
117,91 unequal: No Solution
Exploring Operation: 18*99=1782, Resulting Numbers: [1782]
1782,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 91:[11, 106], Operations: ['44*2=88', '18+88=106']
Exploring Operation: 106-11=95, Resulting Numbers: [95]
95,91 unequal: No Solution
Exploring Operation: 11*106=1166, Resulting Numbers: [1166]
1166,91 unequal: No Solution
Exploring Operation: 11+106=117, Resulting Numbers: [117]
117,91 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: 91:[18, 2, 4], Operations: ['44/11=4']
Exploring Operation: 18/2=9, Resulting Numbers: [4, 9]
Generated Node #0,1,0: 91:[4, 9] Operation: 18/2=9
Exploring Operation: 18-2=16, Resulting Numbers: [4, 16]
Generated Node #0,1,1: 91:[4, 16] Operation: 18-2=16
Exploring Operation: 18-4=14, Resulting Numbers: [2, 14]
Generated Node #0,1,2: 91:[2, 14] Operation: 18-4=14
Exploring Operation: 2+4=6, Resulting Numbers: [18, 6]
Generated Node #0,1,3: 91:[18, 6] Operation: 2+4=6
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 91:[4, 9], Operations: ['44/11=4', '18/2=9']
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,91 unequal: No Solution
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,91 unequal: No Solution
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 91:[4, 16], Operations: ['44/11=4', '18-2=16']
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,91 unequal: No Solution
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,91 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,91 unequal: No Solution
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 91:[2, 14], Operations: ['44/11=4', '18-4=14']
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,91 unequal: No Solution
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,91 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,91 unequal: No Solution
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 91:[18, 6], Operations: ['44/11=4', '2+4=6']
Exploring Operation: 18/6=3, Resulting Numbers: [3]
3,91 unequal: No Solution
Exploring Operation: 18+6=24, Resulting Numbers: [24]
24,91 unequal: No Solution
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,91 unequal: No Solution
Exploring Operation: 18*6=108, Resulting Numbers: [108]
108,91 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: 91:[18, 11, 22], Operations: ['44/2=22']
Exploring Operation: 18-11=7, Resulting Numbers: [22, 7]
Generated Node #0,3,0: 91:[22, 7] Operation: 18-11=7
Exploring Operation: 22-11=11, Resulting Numbers: [18, 11]
Generated Node #0,3,1: 91:[18, 11] Operation: 22-11=11
Exploring Operation: 22/11=2, Resulting Numbers: [18, 2]
Generated Node #0,3,2: 91:[18, 2] Operation: 22/11=2
Exploring Operation: 22-18=4, Resulting Numbers: [11, 4]
Generated Node #0,3,3: 91:[11, 4] Operation: 22-18=4
Moving to Node #0,2
Current State: 91:[2, 11, 26], Operations: ['44-18=26']
Exploring Operation: 26-11=15, Resulting Numbers: [2, 15]
Generated Node #0,2,0: 91:[2, 15] Operation: 26-11=15
Exploring Operation: 26-2=24, Resulting Numbers: [11, 24]
Generated Node #0,2,1: 91:[11, 24] Operation: 26-2=24
Exploring Operation: 2+11=13, Resulting Numbers: [26, 13]
Generated Node #0,2,2: 91:[26, 13] Operation: 2+11=13
Exploring Operation: 26/2=13, Resulting Numbers: [11, 13]
Generated Node #0,2,3: 91:[11, 13] Operation: 26/2=13
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 91:[11, 13], Operations: ['44-18=26', '26/2=13']
Exploring Operation: 13-11=2, Resulting Numbers: [2]
2,91 unequal: No Solution
Exploring Operation: 11*13=143, Resulting Numbers: [143]
143,91 unequal: No Solution
Exploring Operation: 11+13=24, Resulting Numbers: [24]
24,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 91:[2, 15], Operations: ['44-18=26', '26-11=15']
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,91 unequal: No Solution
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,91 unequal: No Solution
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 91:[11, 24], Operations: ['44-18=26', '26-2=24']
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,91 unequal: No Solution
Exploring Operation: 11+24=35, Resulting Numbers: [35]
35,91 unequal: No Solution
Exploring Operation: 11*24=264, Resulting Numbers: [264]
264,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 91:[26, 13], Operations: ['44-18=26', '2+11=13']
Exploring Operation: 26+13=39, Resulting Numbers: [39]
39,91 unequal: No Solution
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,91 unequal: No Solution
Exploring Operation: 26*13=338, Resulting Numbers: [338]
338,91 unequal: No Solution
Exploring Operation: 26/13=2, Resulting Numbers: [2]
2,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,3
Current State: 91:[11, 4], Operations: ['44/2=22', '22-18=4']
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,91 unequal: No Solution
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,91 unequal: No Solution
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,91 unequal: No Solution
Moving to Node #0,3,1
Current State: 91:[18, 11], Operations: ['44/2=22', '22-11=11']
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,91 unequal: No Solution
Exploring Operation: 18*11=198, Resulting Numbers: [198]
198,91 unequal: No Solution
Exploring Operation: 18+11=29, Resulting Numbers: [29]
29,91 unequal: No Solution
Moving to Node #0,3,0
Current State: 91:[22, 7], Operations: ['44/2=22', '18-11=7']
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,91 unequal: No Solution
Exploring Operation: 22+7=29, Resulting Numbers: [29]
29,91 unequal: No Solution
Exploring Operation: 22*7=154, Resulting Numbers: [154]
154,91 unequal: No Solution
Moving to Node #0,3,2
Current State: 91:[18, 2], Operations: ['44/2=22', '22/11=2']
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,91 unequal: No Solution
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,91 unequal: No Solution
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,91 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,91 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
83,
98,
37,
73
] | 71 | [
"83+98=181",
"37+73=110",
"181-110=71"
] | Current State: 71:[83, 98, 37, 73], Operations: []
Exploring Operation: 83+98=181, Resulting Numbers: [37, 73, 181]
Generated Node #2: [37, 73, 181] from Operation: 83+98=181
Current State: 71:[37, 73, 181], Operations: ['83+98=181']
Exploring Operation: 37+73=110, Resulting Numbers: [181, 110]
Generated Node #3: [181, 110] from Operation: 37+73=110
Current State: 71:[181, 110], Operations: ['83+98=181', '37+73=110']
Exploring Operation: 181-110=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[83, 98, 37, 73], Operations: []
Exploring Operation: 83-37=46, Resulting Numbers: [98, 73, 46]
Generated Node #0,0: 71:[98, 73, 46] Operation: 83-37=46
Exploring Operation: 98-37=61, Resulting Numbers: [83, 73, 61]
Generated Node #0,1: 71:[83, 73, 61] Operation: 98-37=61
Exploring Operation: 83+37=120, Resulting Numbers: [98, 73, 120]
Generated Node #0,2: 71:[98, 73, 120] Operation: 83+37=120
Exploring Operation: 73-37=36, Resulting Numbers: [83, 98, 36]
Generated Node #0,3: 71:[83, 98, 36] Operation: 73-37=36
Start Sub Search at level 1: Moving to Node #0,1
Current State: 71:[83, 73, 61], Operations: ['98-37=61']
Exploring Operation: 83-73=10, Resulting Numbers: [61, 10]
Generated Node #0,1,0: 71:[61, 10] Operation: 83-73=10
Exploring Operation: 73-61=12, Resulting Numbers: [83, 12]
Generated Node #0,1,1: 71:[83, 12] Operation: 73-61=12
Exploring Operation: 83-61=22, Resulting Numbers: [73, 22]
Generated Node #0,1,2: 71:[73, 22] Operation: 83-61=22
Exploring Operation: 83+61=144, Resulting Numbers: [73, 144]
Generated Node #0,1,3: 71:[73, 144] Operation: 83+61=144
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 71:[73, 22], Operations: ['98-37=61', '83-61=22']
Exploring Operation: 73+22=95, Resulting Numbers: [95]
95,71 unequal: No Solution
Exploring Operation: 73-22=51, Resulting Numbers: [51]
51,71 unequal: No Solution
Exploring Operation: 73*22=1606, Resulting Numbers: [1606]
1606,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 71:[61, 10], Operations: ['98-37=61', '83-73=10']
Exploring Operation: 61*10=610, Resulting Numbers: [610]
610,71 unequal: No Solution
Exploring Operation: 61-10=51, Resulting Numbers: [51]
51,71 unequal: No Solution
Exploring Operation: 61+10=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[83, 98, 37, 73], Operations: []
Exploring Operation: 98-37=61, Resulting Numbers: [83, 73, 61]
Generated Node #0,1: 71:[83, 73, 61] Operation: 98-37=61
Moving to Node #0,1
Current State: 71:[83, 73, 61], Operations: ['98-37=61']
Exploring Operation: 83-73=10, Resulting Numbers: [61, 10]
Generated Node #0,1,0: 71:[61, 10] Operation: 83-73=10
Moving to Node #0,1,0
Current State: 71:[61, 10], Operations: ['98-37=61', '83-73=10']
Exploring Operation: 61+10=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_4 | mult_heuristic |
[
91,
73,
19,
48
] | 85 | [
"91-73=18",
"19+48=67",
"18+67=85"
] | Current State: 85:[91, 73, 19, 48], Operations: []
Exploring Operation: 91-73=18, Resulting Numbers: [19, 48, 18]
Generated Node #2: [19, 48, 18] from Operation: 91-73=18
Current State: 85:[19, 48, 18], Operations: ['91-73=18']
Exploring Operation: 19+48=67, Resulting Numbers: [18, 67]
Generated Node #3: [18, 67] from Operation: 19+48=67
Current State: 85:[18, 67], Operations: ['91-73=18', '19+48=67']
Exploring Operation: 18+67=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[91, 73, 19, 48], Operations: []
Exploring Operation: 48-19=29, Resulting Numbers: [91, 73, 29]
Generated Node #0,0: 85:[91, 73, 29] Operation: 48-19=29
Exploring Operation: 73-48=25, Resulting Numbers: [91, 19, 25]
Generated Node #0,1: 85:[91, 19, 25] Operation: 73-48=25
Exploring Operation: 91-73=18, Resulting Numbers: [19, 48, 18]
Generated Node #0,2: 85:[19, 48, 18] Operation: 91-73=18
Exploring Operation: 19+48=67, Resulting Numbers: [91, 73, 67]
Generated Node #0,3: 85:[91, 73, 67] Operation: 19+48=67
Start Sub Search at level 1: Moving to Node #0,1
Current State: 85:[91, 19, 25], Operations: ['73-48=25']
Exploring Operation: 91-19=72, Resulting Numbers: [25, 72]
Generated Node #0,1,0: 85:[25, 72] Operation: 91-19=72
Exploring Operation: 91+19=110, Resulting Numbers: [25, 110]
Generated Node #0,1,1: 85:[25, 110] Operation: 91+19=110
Exploring Operation: 25-19=6, Resulting Numbers: [91, 6]
Generated Node #0,1,2: 85:[91, 6] Operation: 25-19=6
Exploring Operation: 91-25=66, Resulting Numbers: [19, 66]
Generated Node #0,1,3: 85:[19, 66] Operation: 91-25=66
Moving to Node #0,1,2
Current State: 85:[91, 6], Operations: ['73-48=25', '25-19=6']
Exploring Operation: 91-6=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[91, 73, 19, 48], Operations: []
Exploring Operation: 73-48=25, Resulting Numbers: [91, 19, 25]
Generated Node #0,1: 85:[91, 19, 25] Operation: 73-48=25
Moving to Node #0,1
Current State: 85:[91, 19, 25], Operations: ['73-48=25']
Exploring Operation: 25-19=6, Resulting Numbers: [91, 6]
Generated Node #0,1,2: 85:[91, 6] Operation: 25-19=6
Moving to Node #0,1,2
Current State: 85:[91, 6], Operations: ['73-48=25', '25-19=6']
Exploring Operation: 91-6=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
52,
49,
66,
34
] | 35 | [
"52-49=3",
"66-34=32",
"3+32=35"
] | Current State: 35:[52, 49, 66, 34], Operations: []
Exploring Operation: 52-49=3, Resulting Numbers: [66, 34, 3]
Generated Node #2: [66, 34, 3] from Operation: 52-49=3
Current State: 35:[66, 34, 3], Operations: ['52-49=3']
Exploring Operation: 66-34=32, Resulting Numbers: [3, 32]
Generated Node #3: [3, 32] from Operation: 66-34=32
Current State: 35:[3, 32], Operations: ['52-49=3', '66-34=32']
Exploring Operation: 3+32=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[52, 49, 66, 34], Operations: []
Exploring Operation: 52-34=18, Resulting Numbers: [49, 66, 18]
Generated Node #0,0: 35:[49, 66, 18] Operation: 52-34=18
Exploring Operation: 52-49=3, Resulting Numbers: [66, 34, 3]
Generated Node #0,1: 35:[66, 34, 3] Operation: 52-49=3
Exploring Operation: 66-34=32, Resulting Numbers: [52, 49, 32]
Generated Node #0,2: 35:[52, 49, 32] Operation: 66-34=32
Exploring Operation: 66-49=17, Resulting Numbers: [52, 34, 17]
Generated Node #0,3: 35:[52, 34, 17] Operation: 66-49=17
Exploring Operation: 66-52=14, Resulting Numbers: [49, 34, 14]
Generated Node #0,4: 35:[49, 34, 14] Operation: 66-52=14
Moving to Node #0,4
Current State: 35:[49, 34, 14], Operations: ['66-52=14']
Exploring Operation: 49+14=63, Resulting Numbers: [34, 63]
Generated Node #0,4,0: 35:[34, 63] Operation: 49+14=63
Exploring Operation: 34-14=20, Resulting Numbers: [49, 20]
Generated Node #0,4,1: 35:[49, 20] Operation: 34-14=20
Exploring Operation: 34+14=48, Resulting Numbers: [49, 48]
Generated Node #0,4,2: 35:[49, 48] Operation: 34+14=48
Exploring Operation: 49-34=15, Resulting Numbers: [14, 15]
Generated Node #0,4,3: 35:[14, 15] Operation: 49-34=15
Exploring Operation: 49-14=35, Resulting Numbers: [34, 35]
Generated Node #0,4,4: 35:[34, 35] Operation: 49-14=35
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 35:[34, 35], Operations: ['66-52=14', '49-14=35']
Exploring Operation: 35-34=1, Resulting Numbers: [1]
1,35 unequal: No Solution
Exploring Operation: 34*35=1190, Resulting Numbers: [1190]
1190,35 unequal: No Solution
Exploring Operation: 34+35=69, Resulting Numbers: [69]
69,35 unequal: No Solution
No 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: 35:[14, 15], Operations: ['66-52=14', '49-34=15']
Exploring Operation: 14*15=210, Resulting Numbers: [210]
210,35 unequal: No Solution
Exploring Operation: 14+15=29, Resulting Numbers: [29]
29,35 unequal: No Solution
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,35 unequal: No Solution
No 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: 35:[49, 20], Operations: ['66-52=14', '34-14=20']
Exploring Operation: 49*20=980, Resulting Numbers: [980]
980,35 unequal: No Solution
Exploring Operation: 49+20=69, Resulting Numbers: [69]
69,35 unequal: No Solution
Exploring Operation: 49-20=29, Resulting Numbers: [29]
29,35 unequal: No Solution
No 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: 35:[49, 48], Operations: ['66-52=14', '34+14=48']
Exploring Operation: 49-48=1, Resulting Numbers: [1]
1,35 unequal: No Solution
Exploring Operation: 49*48=2352, Resulting Numbers: [2352]
2352,35 unequal: No Solution
Exploring Operation: 49+48=97, Resulting Numbers: [97]
97,35 unequal: No Solution
No 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: 35:[34, 63], Operations: ['66-52=14', '49+14=63']
Exploring Operation: 34+63=97, Resulting Numbers: [97]
97,35 unequal: No Solution
Exploring Operation: 63-34=29, Resulting Numbers: [29]
29,35 unequal: No Solution
Exploring Operation: 34*63=2142, Resulting Numbers: [2142]
2142,35 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: 35:[52, 34, 17], Operations: ['66-49=17']
Exploring Operation: 34-17=17, Resulting Numbers: [52, 17]
Generated Node #0,3,0: 35:[52, 17] Operation: 34-17=17
Exploring Operation: 52-34=18, Resulting Numbers: [17, 18]
Generated Node #0,3,1: 35:[17, 18] Operation: 52-34=18
Exploring Operation: 34/17=2, Resulting Numbers: [52, 2]
Generated Node #0,3,2: 35:[52, 2] Operation: 34/17=2
Exploring Operation: 52-17=35, Resulting Numbers: [34, 35]
Generated Node #0,3,3: 35:[34, 35] Operation: 52-17=35
Exploring Operation: 34+17=51, Resulting Numbers: [52, 51]
Generated Node #0,3,4: 35:[52, 51] Operation: 34+17=51
Moving to Node #0,1
Current State: 35:[66, 34, 3], Operations: ['52-49=3']
Exploring Operation: 66-3=63, Resulting Numbers: [34, 63]
Generated Node #0,1,0: 35:[34, 63] Operation: 66-3=63
Exploring Operation: 66/3=22, Resulting Numbers: [34, 22]
Generated Node #0,1,1: 35:[34, 22] Operation: 66/3=22
Exploring Operation: 66+3=69, Resulting Numbers: [34, 69]
Generated Node #0,1,2: 35:[34, 69] Operation: 66+3=69
Exploring Operation: 34+3=37, Resulting Numbers: [66, 37]
Generated Node #0,1,3: 35:[66, 37] Operation: 34+3=37
Exploring Operation: 66-34=32, Resulting Numbers: [3, 32]
Generated Node #0,1,4: 35:[3, 32] Operation: 66-34=32
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 35:[3, 32], Operations: ['52-49=3', '66-34=32']
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,35 unequal: No Solution
Exploring Operation: 3+32=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[52, 49, 66, 34], Operations: []
Exploring Operation: 52-49=3, Resulting Numbers: [66, 34, 3]
Generated Node #0,1: 35:[66, 34, 3] Operation: 52-49=3
Moving to Node #0,1
Current State: 35:[66, 34, 3], Operations: ['52-49=3']
Exploring Operation: 66-34=32, Resulting Numbers: [3, 32]
Generated Node #0,1,4: 35:[3, 32] Operation: 66-34=32
Moving to Node #0,1,4
Current State: 35:[3, 32], Operations: ['52-49=3', '66-34=32']
Exploring Operation: 3+32=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.96441 | hs_5 | mult_heuristic |
[
6,
37,
71,
11
] | 17 | [
"6+37=43",
"71-11=60",
"60-43=17"
] | Current State: 17:[6, 37, 71, 11], Operations: []
Exploring Operation: 6+37=43, Resulting Numbers: [71, 11, 43]
Generated Node #2: [71, 11, 43] from Operation: 6+37=43
Current State: 17:[71, 11, 43], Operations: ['6+37=43']
Exploring Operation: 71-11=60, Resulting Numbers: [43, 60]
Generated Node #3: [43, 60] from Operation: 71-11=60
Current State: 17:[43, 60], Operations: ['6+37=43', '71-11=60']
Exploring Operation: 60-43=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[6, 37, 71, 11], Operations: []
Exploring Operation: 37-6=31, Resulting Numbers: [71, 11, 31]
Generated Node #0,0: 17:[71, 11, 31] Operation: 37-6=31
Exploring Operation: 71-37=34, Resulting Numbers: [6, 11, 34]
Generated Node #0,1: 17:[6, 11, 34] Operation: 71-37=34
Start Sub Search at level 1: Moving to Node #0,1
Current State: 17:[6, 11, 34], Operations: ['71-37=34']
Exploring Operation: 6+11=17, Resulting Numbers: [34, 17]
Generated Node #0,1,0: 17:[34, 17] Operation: 6+11=17
Exploring Operation: 34-6=28, Resulting Numbers: [11, 28]
Generated Node #0,1,1: 17:[11, 28] Operation: 34-6=28
Moving to Node #0,1,0
Current State: 17:[34, 17], Operations: ['71-37=34', '6+11=17']
Exploring Operation: 34/17=2, Resulting Numbers: [2]
2,17 unequal: No Solution
Exploring Operation: 34-17=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[6, 37, 71, 11], Operations: []
Exploring Operation: 71-37=34, Resulting Numbers: [6, 11, 34]
Generated Node #0,1: 17:[6, 11, 34] Operation: 71-37=34
Moving to Node #0,1
Current State: 17:[6, 11, 34], Operations: ['71-37=34']
Exploring Operation: 6+11=17, Resulting Numbers: [34, 17]
Generated Node #0,1,0: 17:[34, 17] Operation: 6+11=17
Moving to Node #0,1,0
Current State: 17:[34, 17], Operations: ['71-37=34', '6+11=17']
Exploring Operation: 34-17=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
81,
52,
44,
86
] | 40 | [
"86-81=5",
"52-44=8",
"5*8=40"
] | Current State: 40:[81, 52, 44, 86], Operations: []
Exploring Operation: 86-81=5, Resulting Numbers: [52, 44, 5]
Generated Node #2: [52, 44, 5] from Operation: 86-81=5
Current State: 40:[52, 44, 5], Operations: ['86-81=5']
Exploring Operation: 52-44=8, Resulting Numbers: [5, 8]
Generated Node #3: [5, 8] from Operation: 52-44=8
Current State: 40:[5, 8], Operations: ['86-81=5', '52-44=8']
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[81, 52, 44, 86], Operations: []
Exploring Operation: 86-81=5, Resulting Numbers: [52, 44, 5]
Generated Node #0,0: 40:[52, 44, 5] Operation: 86-81=5
Exploring Operation: 86-44=42, Resulting Numbers: [81, 52, 42]
Generated Node #0,1: 40:[81, 52, 42] Operation: 86-44=42
Exploring Operation: 86-52=34, Resulting Numbers: [81, 44, 34]
Generated Node #0,2: 40:[81, 44, 34] Operation: 86-52=34
Exploring Operation: 81-52=29, Resulting Numbers: [44, 86, 29]
Generated Node #0,3: 40:[44, 86, 29] Operation: 81-52=29
Exploring Operation: 81-44=37, Resulting Numbers: [52, 86, 37]
Generated Node #0,4: 40:[52, 86, 37] Operation: 81-44=37
Moving to Node #0,0
Current State: 40:[52, 44, 5], Operations: ['86-81=5']
Exploring Operation: 52+5=57, Resulting Numbers: [44, 57]
Generated Node #0,0,0: 40:[44, 57] Operation: 52+5=57
Exploring Operation: 52-44=8, Resulting Numbers: [5, 8]
Generated Node #0,0,1: 40:[5, 8] Operation: 52-44=8
Exploring Operation: 52-5=47, Resulting Numbers: [44, 47]
Generated Node #0,0,2: 40:[44, 47] Operation: 52-5=47
Exploring Operation: 44+5=49, Resulting Numbers: [52, 49]
Generated Node #0,0,3: 40:[52, 49] Operation: 44+5=49
Exploring Operation: 44-5=39, Resulting Numbers: [52, 39]
Generated Node #0,0,4: 40:[52, 39] Operation: 44-5=39
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 40:[5, 8], Operations: ['86-81=5', '52-44=8']
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[81, 52, 44, 86], Operations: []
Exploring Operation: 86-81=5, Resulting Numbers: [52, 44, 5]
Generated Node #0,0: 40:[52, 44, 5] Operation: 86-81=5
Moving to Node #0,0
Current State: 40:[52, 44, 5], Operations: ['86-81=5']
Exploring Operation: 52-44=8, Resulting Numbers: [5, 8]
Generated Node #0,0,1: 40:[5, 8] Operation: 52-44=8
Moving to Node #0,0,1
Current State: 40:[5, 8], Operations: ['86-81=5', '52-44=8']
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
80,
40,
93,
54
] | 78 | [
"80/40=2",
"93-54=39",
"2*39=78"
] | Current State: 78:[80, 40, 93, 54], Operations: []
Exploring Operation: 80/40=2, Resulting Numbers: [93, 54, 2]
Generated Node #2: [93, 54, 2] from Operation: 80/40=2
Current State: 78:[93, 54, 2], Operations: ['80/40=2']
Exploring Operation: 93-54=39, Resulting Numbers: [2, 39]
Generated Node #3: [2, 39] from Operation: 93-54=39
Current State: 78:[2, 39], Operations: ['80/40=2', '93-54=39']
Exploring Operation: 2*39=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[80, 40, 93, 54], Operations: []
Exploring Operation: 93-54=39, Resulting Numbers: [80, 40, 39]
Generated Node #0,0: 78:[80, 40, 39] Operation: 93-54=39
Exploring Operation: 93-80=13, Resulting Numbers: [40, 54, 13]
Generated Node #0,1: 78:[40, 54, 13] Operation: 93-80=13
Exploring Operation: 80-54=26, Resulting Numbers: [40, 93, 26]
Generated Node #0,2: 78:[40, 93, 26] Operation: 80-54=26
Exploring Operation: 54-40=14, Resulting Numbers: [80, 93, 14]
Generated Node #0,3: 78:[80, 93, 14] Operation: 54-40=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[80, 40, 39], Operations: ['93-54=39']
Exploring Operation: 40+39=79, Resulting Numbers: [80, 79]
Generated Node #0,0,0: 78:[80, 79] Operation: 40+39=79
Exploring Operation: 80-39=41, Resulting Numbers: [40, 41]
Generated Node #0,0,1: 78:[40, 41] Operation: 80-39=41
Exploring Operation: 80-40=40, Resulting Numbers: [39, 40]
Generated Node #0,0,2: 78:[39, 40] Operation: 80-40=40
Exploring Operation: 80/40=2, Resulting Numbers: [39, 2]
Generated Node #0,0,3: 78:[39, 2] Operation: 80/40=2
Moving to Node #0,0,3
Current State: 78:[39, 2], Operations: ['93-54=39', '80/40=2']
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[80, 40, 93, 54], Operations: []
Exploring Operation: 93-54=39, Resulting Numbers: [80, 40, 39]
Generated Node #0,0: 78:[80, 40, 39] Operation: 93-54=39
Moving to Node #0,0
Current State: 78:[80, 40, 39], Operations: ['93-54=39']
Exploring Operation: 80/40=2, Resulting Numbers: [39, 2]
Generated Node #0,0,3: 78:[39, 2] Operation: 80/40=2
Moving to Node #0,0,3
Current State: 78:[39, 2], Operations: ['93-54=39', '80/40=2']
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
99,
96,
40,
45
] | 88 | [
"99-96=3",
"40+45=85",
"3+85=88"
] | Current State: 88:[99, 96, 40, 45], Operations: []
Exploring Operation: 99-96=3, Resulting Numbers: [40, 45, 3]
Generated Node #2: [40, 45, 3] from Operation: 99-96=3
Current State: 88:[40, 45, 3], Operations: ['99-96=3']
Exploring Operation: 40+45=85, Resulting Numbers: [3, 85]
Generated Node #3: [3, 85] from Operation: 40+45=85
Current State: 88:[3, 85], Operations: ['99-96=3', '40+45=85']
Exploring Operation: 3+85=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[99, 96, 40, 45], Operations: []
Exploring Operation: 99-96=3, Resulting Numbers: [40, 45, 3]
Generated Node #0,0: 88:[40, 45, 3] Operation: 99-96=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[40, 45, 3], Operations: ['99-96=3']
Exploring Operation: 45-40=5, Resulting Numbers: [3, 5]
Generated Node #0,0,0: 88:[3, 5] Operation: 45-40=5
Moving to Node #0,0,0
Current State: 88:[3, 5], Operations: ['99-96=3', '45-40=5']
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,88 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 |
[
56,
60,
43,
29
] | 15 | [
"43-29=14",
"56/14=4",
"60/4=15"
] | Current State: 15:[56, 60, 43, 29], Operations: []
Exploring Operation: 43-29=14, Resulting Numbers: [56, 60, 14]
Generated Node #2: [56, 60, 14] from Operation: 43-29=14
Current State: 15:[56, 60, 14], Operations: ['43-29=14']
Exploring Operation: 56/14=4, Resulting Numbers: [60, 4]
Generated Node #3: [60, 4] from Operation: 56/14=4
Current State: 15:[60, 4], Operations: ['43-29=14', '56/14=4']
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[56, 60, 43, 29], Operations: []
Exploring Operation: 60-56=4, Resulting Numbers: [43, 29, 4]
Generated Node #0,0: 15:[43, 29, 4] Operation: 60-56=4
Moving to Node #0,0
Current State: 15:[43, 29, 4], Operations: ['60-56=4']
Exploring Operation: 43-29=14, Resulting Numbers: [4, 14]
Generated Node #0,0,0: 15:[4, 14] Operation: 43-29=14
Moving to Node #0,0,0
Current State: 15:[4, 14], Operations: ['60-56=4', '43-29=14']
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,15 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
79,
55,
3,
36
] | 12 | [
"79-55=24",
"36/3=12",
"24-12=12"
] | Current State: 12:[79, 55, 3, 36], Operations: []
Exploring Operation: 79-55=24, Resulting Numbers: [3, 36, 24]
Generated Node #2: [3, 36, 24] from Operation: 79-55=24
Current State: 12:[3, 36, 24], Operations: ['79-55=24']
Exploring Operation: 36/3=12, Resulting Numbers: [24, 12]
Generated Node #3: [24, 12] from Operation: 36/3=12
Current State: 12:[24, 12], Operations: ['79-55=24', '36/3=12']
Exploring Operation: 24-12=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[79, 55, 3, 36], Operations: []
Exploring Operation: 79-3=76, Resulting Numbers: [55, 36, 76]
Generated Node #0,0: 12:[55, 36, 76] Operation: 79-3=76
Exploring Operation: 79-55=24, Resulting Numbers: [3, 36, 24]
Generated Node #0,1: 12:[3, 36, 24] Operation: 79-55=24
Exploring Operation: 79-36=43, Resulting Numbers: [55, 3, 43]
Generated Node #0,2: 12:[55, 3, 43] Operation: 79-36=43
Exploring Operation: 55-36=19, Resulting Numbers: [79, 3, 19]
Generated Node #0,3: 12:[79, 3, 19] Operation: 55-36=19
Exploring Operation: 36/3=12, Resulting Numbers: [79, 55, 12]
Generated Node #0,4: 12:[79, 55, 12] Operation: 36/3=12
Moving to Node #0,1
Current State: 12:[3, 36, 24], Operations: ['79-55=24']
Exploring Operation: 24/3=8, Resulting Numbers: [36, 8]
Generated Node #0,1,0: 12:[36, 8] Operation: 24/3=8
Exploring Operation: 36-24=12, Resulting Numbers: [3, 12]
Generated Node #0,1,1: 12:[3, 12] Operation: 36-24=12
Exploring Operation: 24-3=21, Resulting Numbers: [36, 21]
Generated Node #0,1,2: 12:[36, 21] Operation: 24-3=21
Exploring Operation: 36/3=12, Resulting Numbers: [24, 12]
Generated Node #0,1,3: 12:[24, 12] Operation: 36/3=12
Exploring Operation: 36-3=33, Resulting Numbers: [24, 33]
Generated Node #0,1,4: 12:[24, 33] Operation: 36-3=33
Moving to Node #0,3
Current State: 12:[79, 3, 19], Operations: ['55-36=19']
Exploring Operation: 79+3=82, Resulting Numbers: [19, 82]
Generated Node #0,3,0: 12:[19, 82] Operation: 79+3=82
Exploring Operation: 79-19=60, Resulting Numbers: [3, 60]
Generated Node #0,3,1: 12:[3, 60] Operation: 79-19=60
Exploring Operation: 79-3=76, Resulting Numbers: [19, 76]
Generated Node #0,3,2: 12:[19, 76] Operation: 79-3=76
Exploring Operation: 19-3=16, Resulting Numbers: [79, 16]
Generated Node #0,3,3: 12:[79, 16] Operation: 19-3=16
Exploring Operation: 3+19=22, Resulting Numbers: [79, 22]
Generated Node #0,3,4: 12:[79, 22] Operation: 3+19=22
Moving to Node #0,2
Current State: 12:[55, 3, 43], Operations: ['79-36=43']
Exploring Operation: 55-43=12, Resulting Numbers: [3, 12]
Generated Node #0,2,0: 12:[3, 12] Operation: 55-43=12
Exploring Operation: 55+3=58, Resulting Numbers: [43, 58]
Generated Node #0,2,1: 12:[43, 58] Operation: 55+3=58
Exploring Operation: 55-3=52, Resulting Numbers: [43, 52]
Generated Node #0,2,2: 12:[43, 52] Operation: 55-3=52
Exploring Operation: 3+43=46, Resulting Numbers: [55, 46]
Generated Node #0,2,3: 12:[55, 46] Operation: 3+43=46
Exploring Operation: 43-3=40, Resulting Numbers: [55, 40]
Generated Node #0,2,4: 12:[55, 40] Operation: 43-3=40
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 12:[3, 12], Operations: ['79-36=43', '55-43=12']
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,12 unequal: No Solution
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,12 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,12 unequal: No Solution
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 12:[43, 52], Operations: ['79-36=43', '55-3=52']
Exploring Operation: 43*52=2236, Resulting Numbers: [2236]
2236,12 unequal: No Solution
Exploring Operation: 43+52=95, Resulting Numbers: [95]
95,12 unequal: No Solution
Exploring Operation: 52-43=9, Resulting Numbers: [9]
9,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 12:[55, 40], Operations: ['79-36=43', '43-3=40']
Exploring Operation: 55*40=2200, Resulting Numbers: [2200]
2200,12 unequal: No Solution
Exploring Operation: 55+40=95, Resulting Numbers: [95]
95,12 unequal: No Solution
Exploring Operation: 55-40=15, Resulting Numbers: [15]
15,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 12:[43, 58], Operations: ['79-36=43', '55+3=58']
Exploring Operation: 43*58=2494, Resulting Numbers: [2494]
2494,12 unequal: No Solution
Exploring Operation: 43+58=101, Resulting Numbers: [101]
101,12 unequal: No Solution
Exploring Operation: 58-43=15, Resulting Numbers: [15]
15,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 12:[55, 46], Operations: ['79-36=43', '3+43=46']
Exploring Operation: 55*46=2530, Resulting Numbers: [2530]
2530,12 unequal: No Solution
Exploring Operation: 55-46=9, Resulting Numbers: [9]
9,12 unequal: No Solution
Exploring Operation: 55+46=101, Resulting Numbers: [101]
101,12 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: 12:[79, 55, 12], Operations: ['36/3=12']
Exploring Operation: 79+12=91, Resulting Numbers: [55, 91]
Generated Node #0,4,0: 12:[55, 91] Operation: 79+12=91
Exploring Operation: 79-55=24, Resulting Numbers: [12, 24]
Generated Node #0,4,1: 12:[12, 24] Operation: 79-55=24
Exploring Operation: 79-12=67, Resulting Numbers: [55, 67]
Generated Node #0,4,2: 12:[55, 67] Operation: 79-12=67
Exploring Operation: 55-12=43, Resulting Numbers: [79, 43]
Generated Node #0,4,3: 12:[79, 43] Operation: 55-12=43
Exploring Operation: 79+55=134, Resulting Numbers: [12, 134]
Generated Node #0,4,4: 12:[12, 134] Operation: 79+55=134
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 12:[12, 24], Operations: ['36/3=12', '79-55=24']
Exploring Operation: 24-12=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[79, 55, 3, 36], Operations: []
Exploring Operation: 36/3=12, Resulting Numbers: [79, 55, 12]
Generated Node #0,4: 12:[79, 55, 12] Operation: 36/3=12
Moving to Node #0,4
Current State: 12:[79, 55, 12], Operations: ['36/3=12']
Exploring Operation: 79-55=24, Resulting Numbers: [12, 24]
Generated Node #0,4,1: 12:[12, 24] Operation: 79-55=24
Moving to Node #0,4,1
Current State: 12:[12, 24], Operations: ['36/3=12', '79-55=24']
Exploring Operation: 24-12=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.960069 | hs_5 | sum_heuristic |
[
31,
33,
5,
1
] | 58 | [
"31+33=64",
"5+1=6",
"64-6=58"
] | Current State: 58:[31, 33, 5, 1], Operations: []
Exploring Operation: 31+33=64, Resulting Numbers: [5, 1, 64]
Generated Node #2: [5, 1, 64] from Operation: 31+33=64
Current State: 58:[5, 1, 64], Operations: ['31+33=64']
Exploring Operation: 5+1=6, Resulting Numbers: [64, 6]
Generated Node #3: [64, 6] from Operation: 5+1=6
Current State: 58:[64, 6], Operations: ['31+33=64', '5+1=6']
Exploring Operation: 64-6=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[31, 33, 5, 1], Operations: []
Exploring Operation: 33-31=2, Resulting Numbers: [5, 1, 2]
Generated Node #0,0: 58:[5, 1, 2] Operation: 33-31=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[5, 1, 2], Operations: ['33-31=2']
Exploring Operation: 5-1=4, Resulting Numbers: [2, 4]
Generated Node #0,0,0: 58:[2, 4] Operation: 5-1=4
Moving to Node #0,0,0
Current State: 58:[2, 4], Operations: ['33-31=2', '5-1=4']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
63,
7,
50,
4
] | 37 | [
"63/7=9",
"50-4=46",
"46-9=37"
] | Current State: 37:[63, 7, 50, 4], Operations: []
Exploring Operation: 63/7=9, Resulting Numbers: [50, 4, 9]
Generated Node #2: [50, 4, 9] from Operation: 63/7=9
Current State: 37:[50, 4, 9], Operations: ['63/7=9']
Exploring Operation: 50-4=46, Resulting Numbers: [9, 46]
Generated Node #3: [9, 46] from Operation: 50-4=46
Current State: 37:[9, 46], Operations: ['63/7=9', '50-4=46']
Exploring Operation: 46-9=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[63, 7, 50, 4], Operations: []
Exploring Operation: 63-7=56, Resulting Numbers: [50, 4, 56]
Generated Node #0,0: 37:[50, 4, 56] Operation: 63-7=56
Exploring Operation: 7*4=28, Resulting Numbers: [63, 50, 28]
Generated Node #0,1: 37:[63, 50, 28] Operation: 7*4=28
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[63, 50, 28], Operations: ['7*4=28']
Exploring Operation: 63-28=35, Resulting Numbers: [50, 35]
Generated Node #0,1,0: 37:[50, 35] Operation: 63-28=35
Exploring Operation: 63-50=13, Resulting Numbers: [28, 13]
Generated Node #0,1,1: 37:[28, 13] Operation: 63-50=13
Moving to Node #0,1,0
Current State: 37:[50, 35], Operations: ['7*4=28', '63-28=35']
Exploring Operation: 50-35=15, Resulting Numbers: [15]
15,37 unequal: No Solution
Exploring Operation: 50+35=85, Resulting Numbers: [85]
85,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[28, 13], Operations: ['7*4=28', '63-50=13']
Exploring Operation: 28+13=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,37 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
Current State: 37:[50, 4, 56], Operations: ['63-7=56']
Exploring Operation: 56-4=52, Resulting Numbers: [50, 52]
Generated Node #0,0,0: 37:[50, 52] Operation: 56-4=52
Exploring Operation: 50-4=46, Resulting Numbers: [56, 46]
Generated Node #0,0,1: 37:[56, 46] Operation: 50-4=46
Moving to Node #0,0,0
Current State: 37:[50, 52], Operations: ['63-7=56', '56-4=52']
Exploring Operation: 52-50=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 50+52=102, Resulting Numbers: [102]
102,37 unequal: No Solution
Moving to Node #0,0,1
Current State: 37:[56, 46], Operations: ['63-7=56', '50-4=46']
Exploring Operation: 56+46=102, Resulting Numbers: [102]
102,37 unequal: No Solution
Exploring Operation: 56-46=10, Resulting Numbers: [10]
10,37 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 |
[
55,
81,
27,
10
] | 68 | [
"55+10=65",
"81/27=3",
"65+3=68"
] | Current State: 68:[55, 81, 27, 10], Operations: []
Exploring Operation: 55+10=65, Resulting Numbers: [81, 27, 65]
Generated Node #2: [81, 27, 65] from Operation: 55+10=65
Current State: 68:[81, 27, 65], Operations: ['55+10=65']
Exploring Operation: 81/27=3, Resulting Numbers: [65, 3]
Generated Node #3: [65, 3] from Operation: 81/27=3
Current State: 68:[65, 3], Operations: ['55+10=65', '81/27=3']
Exploring Operation: 65+3=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[55, 81, 27, 10], Operations: []
Exploring Operation: 81/27=3, Resulting Numbers: [55, 10, 3]
Generated Node #0,0: 68:[55, 10, 3] Operation: 81/27=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[55, 10, 3], Operations: ['81/27=3']
Exploring Operation: 55+10=65, Resulting Numbers: [3, 65]
Generated Node #0,0,0: 68:[3, 65] Operation: 55+10=65
Moving to Node #0,0,0
Current State: 68:[3, 65], Operations: ['81/27=3', '55+10=65']
Exploring Operation: 3+65=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[55, 81, 27, 10], Operations: []
Exploring Operation: 81/27=3, Resulting Numbers: [55, 10, 3]
Generated Node #0,0: 68:[55, 10, 3] Operation: 81/27=3
Moving to Node #0,0
Current State: 68:[55, 10, 3], Operations: ['81/27=3']
Exploring Operation: 55+10=65, Resulting Numbers: [3, 65]
Generated Node #0,0,0: 68:[3, 65] Operation: 55+10=65
Moving to Node #0,0,0
Current State: 68:[3, 65], Operations: ['81/27=3', '55+10=65']
Exploring Operation: 3+65=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
34,
6,
90,
13
] | 49 | [
"34-6=28",
"90-13=77",
"77-28=49"
] | Current State: 49:[34, 6, 90, 13], Operations: []
Exploring Operation: 34-6=28, Resulting Numbers: [90, 13, 28]
Generated Node #2: [90, 13, 28] from Operation: 34-6=28
Current State: 49:[90, 13, 28], Operations: ['34-6=28']
Exploring Operation: 90-13=77, Resulting Numbers: [28, 77]
Generated Node #3: [28, 77] from Operation: 90-13=77
Current State: 49:[28, 77], Operations: ['34-6=28', '90-13=77']
Exploring Operation: 77-28=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[34, 6, 90, 13], Operations: []
Exploring Operation: 90-13=77, Resulting Numbers: [34, 6, 77]
Generated Node #0,0: 49:[34, 6, 77] Operation: 90-13=77
Exploring Operation: 90/6=15, Resulting Numbers: [34, 13, 15]
Generated Node #0,1: 49:[34, 13, 15] Operation: 90/6=15
Exploring Operation: 34+13=47, Resulting Numbers: [6, 90, 47]
Generated Node #0,2: 49:[6, 90, 47] Operation: 34+13=47
Exploring Operation: 90-34=56, Resulting Numbers: [6, 13, 56]
Generated Node #0,3: 49:[6, 13, 56] Operation: 90-34=56
Exploring Operation: 34+6=40, Resulting Numbers: [90, 13, 40]
Generated Node #0,4: 49:[90, 13, 40] Operation: 34+6=40
Start Sub Search at level 1: Moving to Node #0,3
Current State: 49:[6, 13, 56], Operations: ['90-34=56']
Exploring Operation: 6+56=62, Resulting Numbers: [13, 62]
Generated Node #0,3,0: 49:[13, 62] Operation: 6+56=62
Exploring Operation: 6+13=19, Resulting Numbers: [56, 19]
Generated Node #0,3,1: 49:[56, 19] Operation: 6+13=19
Exploring Operation: 13-6=7, Resulting Numbers: [56, 7]
Generated Node #0,3,2: 49:[56, 7] Operation: 13-6=7
Exploring Operation: 56-6=50, Resulting Numbers: [13, 50]
Generated Node #0,3,3: 49:[13, 50] Operation: 56-6=50
Exploring Operation: 56-13=43, Resulting Numbers: [6, 43]
Generated Node #0,3,4: 49:[6, 43] Operation: 56-13=43
Moving to Node #0,3,2
Current State: 49:[56, 7], Operations: ['90-34=56', '13-6=7']
Exploring Operation: 56*7=392, Resulting Numbers: [392]
392,49 unequal: No Solution
Exploring Operation: 56-7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[34, 6, 90, 13], Operations: []
Exploring Operation: 90-34=56, Resulting Numbers: [6, 13, 56]
Generated Node #0,3: 49:[6, 13, 56] Operation: 90-34=56
Moving to Node #0,3
Current State: 49:[6, 13, 56], Operations: ['90-34=56']
Exploring Operation: 13-6=7, Resulting Numbers: [56, 7]
Generated Node #0,3,2: 49:[56, 7] Operation: 13-6=7
Moving to Node #0,3,2
Current State: 49:[56, 7], Operations: ['90-34=56', '13-6=7']
Exploring Operation: 56-7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
48,
93,
78,
6
] | 69 | [
"48+93=141",
"78-6=72",
"141-72=69"
] | Current State: 69:[48, 93, 78, 6], Operations: []
Exploring Operation: 48+93=141, Resulting Numbers: [78, 6, 141]
Generated Node #2: [78, 6, 141] from Operation: 48+93=141
Current State: 69:[78, 6, 141], Operations: ['48+93=141']
Exploring Operation: 78-6=72, Resulting Numbers: [141, 72]
Generated Node #3: [141, 72] from Operation: 78-6=72
Current State: 69:[141, 72], Operations: ['48+93=141', '78-6=72']
Exploring Operation: 141-72=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[48, 93, 78, 6], Operations: []
Exploring Operation: 78-48=30, Resulting Numbers: [93, 6, 30]
Generated Node #0,0: 69:[93, 6, 30] Operation: 78-48=30
Exploring Operation: 93-48=45, Resulting Numbers: [78, 6, 45]
Generated Node #0,1: 69:[78, 6, 45] Operation: 93-48=45
Exploring Operation: 93-78=15, Resulting Numbers: [48, 6, 15]
Generated Node #0,2: 69:[48, 6, 15] Operation: 93-78=15
Start Sub Search at level 1: Moving to Node #0,2
Current State: 69:[48, 6, 15], Operations: ['93-78=15']
Exploring Operation: 48-15=33, Resulting Numbers: [6, 33]
Generated Node #0,2,0: 69:[6, 33] Operation: 48-15=33
Exploring Operation: 48+15=63, Resulting Numbers: [6, 63]
Generated Node #0,2,1: 69:[6, 63] Operation: 48+15=63
Exploring Operation: 48/6=8, Resulting Numbers: [15, 8]
Generated Node #0,2,2: 69:[15, 8] Operation: 48/6=8
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 69:[6, 63], Operations: ['93-78=15', '48+15=63']
Exploring Operation: 6*63=378, Resulting Numbers: [378]
378,69 unequal: No Solution
Exploring Operation: 6+63=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[48, 93, 78, 6], Operations: []
Exploring Operation: 93-78=15, Resulting Numbers: [48, 6, 15]
Generated Node #0,2: 69:[48, 6, 15] Operation: 93-78=15
Moving to Node #0,2
Current State: 69:[48, 6, 15], Operations: ['93-78=15']
Exploring Operation: 48+15=63, Resulting Numbers: [6, 63]
Generated Node #0,2,1: 69:[6, 63] Operation: 48+15=63
Moving to Node #0,2,1
Current State: 69:[6, 63], Operations: ['93-78=15', '48+15=63']
Exploring Operation: 6+63=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
90,
33,
83,
59
] | 33 | [
"90-33=57",
"83-59=24",
"57-24=33"
] | Current State: 33:[90, 33, 83, 59], Operations: []
Exploring Operation: 90-33=57, Resulting Numbers: [83, 59, 57]
Generated Node #2: [83, 59, 57] from Operation: 90-33=57
Current State: 33:[83, 59, 57], Operations: ['90-33=57']
Exploring Operation: 83-59=24, Resulting Numbers: [57, 24]
Generated Node #3: [57, 24] from Operation: 83-59=24
Current State: 33:[57, 24], Operations: ['90-33=57', '83-59=24']
Exploring Operation: 57-24=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[90, 33, 83, 59], Operations: []
Exploring Operation: 90-83=7, Resulting Numbers: [33, 59, 7]
Generated Node #0,0: 33:[33, 59, 7] Operation: 90-83=7
Exploring Operation: 90-59=31, Resulting Numbers: [33, 83, 31]
Generated Node #0,1: 33:[33, 83, 31] Operation: 90-59=31
Exploring Operation: 90-33=57, Resulting Numbers: [83, 59, 57]
Generated Node #0,2: 33:[83, 59, 57] Operation: 90-33=57
Exploring Operation: 83-59=24, Resulting Numbers: [90, 33, 24]
Generated Node #0,3: 33:[90, 33, 24] Operation: 83-59=24
Exploring Operation: 83-33=50, Resulting Numbers: [90, 59, 50]
Generated Node #0,4: 33:[90, 59, 50] Operation: 83-33=50
Moving to Node #0,0
Current State: 33:[33, 59, 7], Operations: ['90-83=7']
Exploring Operation: 33-7=26, Resulting Numbers: [59, 26]
Generated Node #0,0,0: 33:[59, 26] Operation: 33-7=26
Exploring Operation: 33+7=40, Resulting Numbers: [59, 40]
Generated Node #0,0,1: 33:[59, 40] Operation: 33+7=40
Exploring Operation: 59+7=66, Resulting Numbers: [33, 66]
Generated Node #0,0,2: 33:[33, 66] Operation: 59+7=66
Exploring Operation: 59-7=52, Resulting Numbers: [33, 52]
Generated Node #0,0,3: 33:[33, 52] Operation: 59-7=52
Exploring Operation: 59-33=26, Resulting Numbers: [7, 26]
Generated Node #0,0,4: 33:[7, 26] Operation: 59-33=26
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 33:[7, 26], Operations: ['90-83=7', '59-33=26']
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,33 unequal: No Solution
Exploring Operation: 7+26=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[90, 33, 83, 59], Operations: []
Exploring Operation: 90-83=7, Resulting Numbers: [33, 59, 7]
Generated Node #0,0: 33:[33, 59, 7] Operation: 90-83=7
Moving to Node #0,0
Current State: 33:[33, 59, 7], Operations: ['90-83=7']
Exploring Operation: 59-33=26, Resulting Numbers: [7, 26]
Generated Node #0,0,4: 33:[7, 26] Operation: 59-33=26
Moving to Node #0,0,4
Current State: 33:[7, 26], Operations: ['90-83=7', '59-33=26']
Exploring Operation: 7+26=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
92,
79,
68,
66
] | 26 | [
"92-79=13",
"68-66=2",
"13*2=26"
] | Current State: 26:[92, 79, 68, 66], Operations: []
Exploring Operation: 92-79=13, Resulting Numbers: [68, 66, 13]
Generated Node #2: [68, 66, 13] from Operation: 92-79=13
Current State: 26:[68, 66, 13], Operations: ['92-79=13']
Exploring Operation: 68-66=2, Resulting Numbers: [13, 2]
Generated Node #3: [13, 2] from Operation: 68-66=2
Current State: 26:[13, 2], Operations: ['92-79=13', '68-66=2']
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[92, 79, 68, 66], Operations: []
Exploring Operation: 92-68=24, Resulting Numbers: [79, 66, 24]
Generated Node #0,0: 26:[79, 66, 24] Operation: 92-68=24
Exploring Operation: 92-79=13, Resulting Numbers: [68, 66, 13]
Generated Node #0,1: 26:[68, 66, 13] Operation: 92-79=13
Exploring Operation: 92-66=26, Resulting Numbers: [79, 68, 26]
Generated Node #0,2: 26:[79, 68, 26] Operation: 92-66=26
Exploring Operation: 79-68=11, Resulting Numbers: [92, 66, 11]
Generated Node #0,3: 26:[92, 66, 11] Operation: 79-68=11
Start Sub Search at level 1: Moving to Node #0,1
Current State: 26:[68, 66, 13], Operations: ['92-79=13']
Exploring Operation: 68+13=81, Resulting Numbers: [66, 81]
Generated Node #0,1,0: 26:[66, 81] Operation: 68+13=81
Exploring Operation: 68-66=2, Resulting Numbers: [13, 2]
Generated Node #0,1,1: 26:[13, 2] Operation: 68-66=2
Exploring Operation: 68-13=55, Resulting Numbers: [66, 55]
Generated Node #0,1,2: 26:[66, 55] Operation: 68-13=55
Exploring Operation: 66-13=53, Resulting Numbers: [68, 53]
Generated Node #0,1,3: 26:[68, 53] Operation: 66-13=53
Moving to Node #0,1,1
Current State: 26:[13, 2], Operations: ['92-79=13', '68-66=2']
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,26 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,26 unequal: No Solution
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[92, 79, 68, 66], Operations: []
Exploring Operation: 92-79=13, Resulting Numbers: [68, 66, 13]
Generated Node #0,1: 26:[68, 66, 13] Operation: 92-79=13
Moving to Node #0,1
Current State: 26:[68, 66, 13], Operations: ['92-79=13']
Exploring Operation: 68-66=2, Resulting Numbers: [13, 2]
Generated Node #0,1,1: 26:[13, 2] Operation: 68-66=2
Moving to Node #0,1,1
Current State: 26:[13, 2], Operations: ['92-79=13', '68-66=2']
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
39,
46,
56,
69
] | 82 | [
"39*46=1794",
"1794/69=26",
"56+26=82"
] | Current State: 82:[39, 46, 56, 69], Operations: []
Exploring Operation: 39*46=1794, Resulting Numbers: [56, 69, 1794]
Generated Node #2: [56, 69, 1794] from Operation: 39*46=1794
Current State: 82:[56, 69, 1794], Operations: ['39*46=1794']
Exploring Operation: 1794/69=26, Resulting Numbers: [56, 26]
Generated Node #3: [56, 26] from Operation: 1794/69=26
Current State: 82:[56, 26], Operations: ['39*46=1794', '1794/69=26']
Exploring Operation: 56+26=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[39, 46, 56, 69], Operations: []
Exploring Operation: 39+46=85, Resulting Numbers: [56, 69, 85]
Generated Node #0,0: 82:[56, 69, 85] Operation: 39+46=85
Exploring Operation: 56-46=10, Resulting Numbers: [39, 69, 10]
Generated Node #0,1: 82:[39, 69, 10] Operation: 56-46=10
Exploring Operation: 69-56=13, Resulting Numbers: [39, 46, 13]
Generated Node #0,2: 82:[39, 46, 13] Operation: 69-56=13
Start Sub Search at level 1: Moving to Node #0,2
Current State: 82:[39, 46, 13], Operations: ['69-56=13']
Exploring Operation: 46-13=33, Resulting Numbers: [39, 33]
Generated Node #0,2,0: 82:[39, 33] Operation: 46-13=33
Exploring Operation: 39+46=85, Resulting Numbers: [13, 85]
Generated Node #0,2,1: 82:[13, 85] Operation: 39+46=85
Exploring Operation: 39/13=3, Resulting Numbers: [46, 3]
Generated Node #0,2,2: 82:[46, 3] Operation: 39/13=3
Moving to Node #0,2,2
Current State: 82:[46, 3], Operations: ['69-56=13', '39/13=3']
Exploring Operation: 46*3=138, Resulting Numbers: [138]
138,82 unequal: No Solution
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,82 unequal: No Solution
Exploring Operation: 46+3=49, Resulting Numbers: [49]
49,82 unequal: No Solution
Moving to Node #0,2,0
Current State: 82:[39, 33], Operations: ['69-56=13', '46-13=33']
Exploring Operation: 39-33=6, Resulting Numbers: [6]
6,82 unequal: No Solution
Exploring Operation: 39+33=72, Resulting Numbers: [72]
72,82 unequal: No Solution
Exploring Operation: 39*33=1287, Resulting Numbers: [1287]
1287,82 unequal: No Solution
Moving to Node #0,2,1
Current State: 82:[13, 85], Operations: ['69-56=13', '39+46=85']
Exploring Operation: 13*85=1105, Resulting Numbers: [1105]
1105,82 unequal: No Solution
Exploring Operation: 13+85=98, Resulting Numbers: [98]
98,82 unequal: No Solution
Exploring Operation: 85-13=72, Resulting Numbers: [72]
72,82 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
Current State: 82:[39, 69, 10], Operations: ['56-46=10']
Exploring Operation: 69+10=79, Resulting Numbers: [39, 79]
Generated Node #0,1,0: 82:[39, 79] Operation: 69+10=79
Exploring Operation: 69-10=59, Resulting Numbers: [39, 59]
Generated Node #0,1,1: 82:[39, 59] Operation: 69-10=59
Exploring Operation: 69-39=30, Resulting Numbers: [10, 30]
Generated Node #0,1,2: 82:[10, 30] Operation: 69-39=30
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 82:[39, 79], Operations: ['56-46=10', '69+10=79']
Exploring Operation: 79-39=40, Resulting Numbers: [40]
40,82 unequal: No Solution
Exploring Operation: 39+79=118, Resulting Numbers: [118]
118,82 unequal: No Solution
Exploring Operation: 39*79=3081, Resulting Numbers: [3081]
3081,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 82:[10, 30], Operations: ['56-46=10', '69-39=30']
Exploring Operation: 30-10=20, Resulting Numbers: [20]
20,82 unequal: No Solution
Exploring Operation: 30/10=3, Resulting Numbers: [3]
3,82 unequal: No Solution
Exploring Operation: 10+30=40, Resulting Numbers: [40]
40,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 82:[39, 59], Operations: ['56-46=10', '69-10=59']
Exploring Operation: 39+59=98, Resulting Numbers: [98]
98,82 unequal: No Solution
Exploring Operation: 39*59=2301, Resulting Numbers: [2301]
2301,82 unequal: No Solution
Exploring Operation: 59-39=20, Resulting Numbers: [20]
20,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[56, 69, 85], Operations: ['39+46=85']
Exploring Operation: 85-56=29, Resulting Numbers: [69, 29]
Generated Node #0,0,0: 82:[69, 29] Operation: 85-56=29
Exploring Operation: 69-56=13, Resulting Numbers: [85, 13]
Generated Node #0,0,1: 82:[85, 13] Operation: 69-56=13
Exploring Operation: 85-69=16, Resulting Numbers: [56, 16]
Generated Node #0,0,2: 82:[56, 16] Operation: 85-69=16
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 82:[85, 13], Operations: ['39+46=85', '69-56=13']
Exploring Operation: 85*13=1105, Resulting Numbers: [1105]
1105,82 unequal: No Solution
Exploring Operation: 85-13=72, Resulting Numbers: [72]
72,82 unequal: No Solution
Exploring Operation: 85+13=98, Resulting Numbers: [98]
98,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 82:[69, 29], Operations: ['39+46=85', '85-56=29']
Exploring Operation: 69*29=2001, Resulting Numbers: [2001]
2001,82 unequal: No Solution
Exploring Operation: 69+29=98, Resulting Numbers: [98]
98,82 unequal: No Solution
Exploring Operation: 69-29=40, Resulting Numbers: [40]
40,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 82:[56, 16], Operations: ['39+46=85', '85-69=16']
Exploring Operation: 56+16=72, Resulting Numbers: [72]
72,82 unequal: No Solution
Exploring Operation: 56-16=40, Resulting Numbers: [40]
40,82 unequal: No Solution
Exploring Operation: 56*16=896, Resulting Numbers: [896]
896,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
14,
12,
34,
27
] | 59 | [
"14-12=2",
"34+27=61",
"61-2=59"
] | Current State: 59:[14, 12, 34, 27], Operations: []
Exploring Operation: 14-12=2, Resulting Numbers: [34, 27, 2]
Generated Node #2: [34, 27, 2] from Operation: 14-12=2
Current State: 59:[34, 27, 2], Operations: ['14-12=2']
Exploring Operation: 34+27=61, Resulting Numbers: [2, 61]
Generated Node #3: [2, 61] from Operation: 34+27=61
Current State: 59:[2, 61], Operations: ['14-12=2', '34+27=61']
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[14, 12, 34, 27], Operations: []
Exploring Operation: 14+12=26, Resulting Numbers: [34, 27, 26]
Generated Node #0,0: 59:[34, 27, 26] Operation: 14+12=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[34, 27, 26], Operations: ['14+12=26']
Exploring Operation: 27+26=53, Resulting Numbers: [34, 53]
Generated Node #0,0,0: 59:[34, 53] Operation: 27+26=53
Moving to Node #0,0,0
Current State: 59:[34, 53], Operations: ['14+12=26', '27+26=53']
Exploring Operation: 34+53=87, Resulting Numbers: [87]
87,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
56,
60,
66,
58
] | 63 | [
"58-56=2",
"60+66=126",
"126/2=63"
] | Current State: 63:[56, 60, 66, 58], Operations: []
Exploring Operation: 58-56=2, Resulting Numbers: [60, 66, 2]
Generated Node #2: [60, 66, 2] from Operation: 58-56=2
Current State: 63:[60, 66, 2], Operations: ['58-56=2']
Exploring Operation: 60+66=126, Resulting Numbers: [2, 126]
Generated Node #3: [2, 126] from Operation: 60+66=126
Current State: 63:[2, 126], Operations: ['58-56=2', '60+66=126']
Exploring Operation: 126/2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[56, 60, 66, 58], Operations: []
Exploring Operation: 60-56=4, Resulting Numbers: [66, 58, 4]
Generated Node #0,0: 63:[66, 58, 4] Operation: 60-56=4
Exploring Operation: 66-56=10, Resulting Numbers: [60, 58, 10]
Generated Node #0,1: 63:[60, 58, 10] Operation: 66-56=10
Exploring Operation: 60-58=2, Resulting Numbers: [56, 66, 2]
Generated Node #0,2: 63:[56, 66, 2] Operation: 60-58=2
Exploring Operation: 58-56=2, Resulting Numbers: [60, 66, 2]
Generated Node #0,3: 63:[60, 66, 2] Operation: 58-56=2
Moving to Node #0,3
Current State: 63:[60, 66, 2], Operations: ['58-56=2']
Exploring Operation: 60+2=62, Resulting Numbers: [66, 62]
Generated Node #0,3,0: 63:[66, 62] Operation: 60+2=62
Exploring Operation: 66-60=6, Resulting Numbers: [2, 6]
Generated Node #0,3,1: 63:[2, 6] Operation: 66-60=6
Exploring Operation: 60-2=58, Resulting Numbers: [66, 58]
Generated Node #0,3,2: 63:[66, 58] Operation: 60-2=58
Exploring Operation: 66-2=64, Resulting Numbers: [60, 64]
Generated Node #0,3,3: 63:[60, 64] Operation: 66-2=64
Moving to Node #0,1
Current State: 63:[60, 58, 10], Operations: ['66-56=10']
Exploring Operation: 60+10=70, Resulting Numbers: [58, 70]
Generated Node #0,1,0: 63:[58, 70] Operation: 60+10=70
Exploring Operation: 60-58=2, Resulting Numbers: [10, 2]
Generated Node #0,1,1: 63:[10, 2] Operation: 60-58=2
Exploring Operation: 60/10=6, Resulting Numbers: [58, 6]
Generated Node #0,1,2: 63:[58, 6] Operation: 60/10=6
Exploring Operation: 58+10=68, Resulting Numbers: [60, 68]
Generated Node #0,1,3: 63:[60, 68] Operation: 58+10=68
Moving to Node #0,0
Current State: 63:[66, 58, 4], Operations: ['60-56=4']
Exploring Operation: 66-4=62, Resulting Numbers: [58, 62]
Generated Node #0,0,0: 63:[58, 62] Operation: 66-4=62
Exploring Operation: 58+4=62, Resulting Numbers: [66, 62]
Generated Node #0,0,1: 63:[66, 62] Operation: 58+4=62
Exploring Operation: 66-58=8, Resulting Numbers: [4, 8]
Generated Node #0,0,2: 63:[4, 8] Operation: 66-58=8
Exploring Operation: 66+4=70, Resulting Numbers: [58, 70]
Generated Node #0,0,3: 63:[58, 70] Operation: 66+4=70
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 63:[4, 8], Operations: ['60-56=4', '66-58=8']
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,63 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,63 unequal: No Solution
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,63 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,63 unequal: No Solution
No 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: 63:[66, 62], Operations: ['60-56=4', '58+4=62']
Exploring Operation: 66-62=4, Resulting Numbers: [4]
4,63 unequal: No Solution
Exploring Operation: 66+62=128, Resulting Numbers: [128]
128,63 unequal: No Solution
Exploring Operation: 66*62=4092, Resulting Numbers: [4092]
4092,63 unequal: No Solution
No 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: 63:[58, 62], Operations: ['60-56=4', '66-4=62']
Exploring Operation: 58+62=120, Resulting Numbers: [120]
120,63 unequal: No Solution
Exploring Operation: 62-58=4, Resulting Numbers: [4]
4,63 unequal: No Solution
Exploring Operation: 58*62=3596, Resulting Numbers: [3596]
3596,63 unequal: No Solution
No 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: 63:[58, 70], Operations: ['60-56=4', '66+4=70']
Exploring Operation: 70-58=12, Resulting Numbers: [12]
12,63 unequal: No Solution
Exploring Operation: 58*70=4060, Resulting Numbers: [4060]
4060,63 unequal: No Solution
Exploring Operation: 58+70=128, Resulting Numbers: [128]
128,63 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: 63:[56, 66, 2], Operations: ['60-58=2']
Exploring Operation: 66-2=64, Resulting Numbers: [56, 64]
Generated Node #0,2,0: 63:[56, 64] Operation: 66-2=64
Exploring Operation: 56+2=58, Resulting Numbers: [66, 58]
Generated Node #0,2,1: 63:[66, 58] Operation: 56+2=58
Exploring Operation: 66-56=10, Resulting Numbers: [2, 10]
Generated Node #0,2,2: 63:[2, 10] Operation: 66-56=10
Exploring Operation: 56/2=28, Resulting Numbers: [66, 28]
Generated Node #0,2,3: 63:[66, 28] Operation: 56/2=28
Moving to Node #0,3,1
Current State: 63:[2, 6], Operations: ['58-56=2', '66-60=6']
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,63 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,63 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,63 unequal: No Solution
Moving to Node #0,1,1
Current State: 63:[10, 2], Operations: ['66-56=10', '60-58=2']
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,63 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,63 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,63 unequal: No Solution
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,63 unequal: No Solution
Moving to Node #0,2,2
Current State: 63:[2, 10], Operations: ['60-58=2', '66-56=10']
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,63 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,63 unequal: No Solution
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,63 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,63 unequal: No Solution
Moving to Node #0,3,3
Current State: 63:[60, 64], Operations: ['58-56=2', '66-2=64']
Exploring Operation: 64-60=4, Resulting Numbers: [4]
4,63 unequal: No Solution
Exploring Operation: 60*64=3840, Resulting Numbers: [3840]
3840,63 unequal: No Solution
Exploring Operation: 60+64=124, Resulting Numbers: [124]
124,63 unequal: No Solution
Moving to Node #0,3,0
Current State: 63:[66, 62], Operations: ['58-56=2', '60+2=62']
Exploring Operation: 66+62=128, Resulting Numbers: [128]
128,63 unequal: No Solution
Exploring Operation: 66-62=4, Resulting Numbers: [4]
4,63 unequal: No Solution
Exploring Operation: 66*62=4092, Resulting Numbers: [4092]
4092,63 unequal: No Solution
Moving to Node #0,1,2
Current State: 63:[58, 6], Operations: ['66-56=10', '60/10=6']
Exploring Operation: 58-6=52, Resulting Numbers: [52]
52,63 unequal: No Solution
Exploring Operation: 58+6=64, Resulting Numbers: [64]
64,63 unequal: No Solution
Exploring Operation: 58*6=348, Resulting Numbers: [348]
348,63 unequal: No Solution
Moving to Node #0,1,3
Current State: 63:[60, 68], Operations: ['66-56=10', '58+10=68']
Exploring Operation: 60*68=4080, Resulting Numbers: [4080]
4080,63 unequal: No Solution
Exploring Operation: 60+68=128, Resulting Numbers: [128]
128,63 unequal: No Solution
Exploring Operation: 68-60=8, Resulting Numbers: [8]
8,63 unequal: No Solution
Moving to Node #0,2,1
Current State: 63:[66, 58], Operations: ['60-58=2', '56+2=58']
Exploring Operation: 66-58=8, Resulting Numbers: [8]
8,63 unequal: No Solution
Exploring Operation: 66*58=3828, Resulting Numbers: [3828]
3828,63 unequal: No Solution
Exploring Operation: 66+58=124, Resulting Numbers: [124]
124,63 unequal: No Solution
Moving to Node #0,2,0
Current State: 63:[56, 64], Operations: ['60-58=2', '66-2=64']
Exploring Operation: 56+64=120, Resulting Numbers: [120]
120,63 unequal: No Solution
Exploring Operation: 64-56=8, Resulting Numbers: [8]
8,63 unequal: No Solution
Exploring Operation: 56*64=3584, Resulting Numbers: [3584]
3584,63 unequal: No Solution
Moving to Node #0,3,2
Current State: 63:[66, 58], Operations: ['58-56=2', '60-2=58']
Exploring Operation: 66-58=8, Resulting Numbers: [8]
8,63 unequal: No Solution
Exploring Operation: 66*58=3828, Resulting Numbers: [3828]
3828,63 unequal: No Solution
Exploring Operation: 66+58=124, Resulting Numbers: [124]
124,63 unequal: No Solution
Moving to Node #0,2,3
Current State: 63:[66, 28], Operations: ['60-58=2', '56/2=28']
Exploring Operation: 66*28=1848, Resulting Numbers: [1848]
1848,63 unequal: No Solution
Exploring Operation: 66+28=94, Resulting Numbers: [94]
94,63 unequal: No Solution
Exploring Operation: 66-28=38, Resulting Numbers: [38]
38,63 unequal: No Solution
Moving to Node #0,1,0
Current State: 63:[58, 70], Operations: ['66-56=10', '60+10=70']
Exploring Operation: 58*70=4060, Resulting Numbers: [4060]
4060,63 unequal: No Solution
Exploring Operation: 70-58=12, Resulting Numbers: [12]
12,63 unequal: No Solution
Exploring Operation: 58+70=128, Resulting Numbers: [128]
128,63 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
67,
63,
7,
12
] | 41 | [
"67-63=4",
"12*4=48",
"48-7=41"
] | Current State: 41:[67, 63, 7, 12], Operations: []
Exploring Operation: 67-63=4, Resulting Numbers: [7, 12, 4]
Generated Node #2: [7, 12, 4] from Operation: 67-63=4
Current State: 41:[7, 12, 4], Operations: ['67-63=4']
Exploring Operation: 12*4=48, Resulting Numbers: [7, 48]
Generated Node #3: [7, 48] from Operation: 12*4=48
Current State: 41:[7, 48], Operations: ['67-63=4', '12*4=48']
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[67, 63, 7, 12], Operations: []
Exploring Operation: 67-12=55, Resulting Numbers: [63, 7, 55]
Generated Node #0,0: 41:[63, 7, 55] Operation: 67-12=55
Exploring Operation: 67-7=60, Resulting Numbers: [63, 12, 60]
Generated Node #0,1: 41:[63, 12, 60] Operation: 67-7=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[63, 7, 55], Operations: ['67-12=55']
Exploring Operation: 63-7=56, Resulting Numbers: [55, 56]
Generated Node #0,0,0: 41:[55, 56] Operation: 63-7=56
Exploring Operation: 55-7=48, Resulting Numbers: [63, 48]
Generated Node #0,0,1: 41:[63, 48] Operation: 55-7=48
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 41:[55, 56], Operations: ['67-12=55', '63-7=56']
Exploring Operation: 56-55=1, Resulting Numbers: [1]
1,41 unequal: No Solution
Exploring Operation: 55+56=111, Resulting Numbers: [111]
111,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 41:[63, 48], Operations: ['67-12=55', '55-7=48']
Exploring Operation: 63-48=15, Resulting Numbers: [15]
15,41 unequal: No Solution
Exploring Operation: 63+48=111, Resulting Numbers: [111]
111,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 41:[63, 12, 60], Operations: ['67-7=60']
Exploring Operation: 63-12=51, Resulting Numbers: [60, 51]
Generated Node #0,1,0: 41:[60, 51] Operation: 63-12=51
Exploring Operation: 60-12=48, Resulting Numbers: [63, 48]
Generated Node #0,1,1: 41:[63, 48] Operation: 60-12=48
Moving to Node #0,1,0
Current State: 41:[60, 51], Operations: ['67-7=60', '63-12=51']
Exploring Operation: 60-51=9, Resulting Numbers: [9]
9,41 unequal: No Solution
Exploring Operation: 60+51=111, Resulting Numbers: [111]
111,41 unequal: No Solution
Moving to Node #0,1,1
Current State: 41:[63, 48], Operations: ['67-7=60', '60-12=48']
Exploring Operation: 63-48=15, Resulting Numbers: [15]
15,41 unequal: No Solution
Exploring Operation: 63+48=111, Resulting Numbers: [111]
111,41 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 |
[
5,
52,
29,
49
] | 58 | [
"52-5=47",
"49-47=2",
"29*2=58"
] | Current State: 58:[5, 52, 29, 49], Operations: []
Exploring Operation: 52-5=47, Resulting Numbers: [29, 49, 47]
Generated Node #2: [29, 49, 47] from Operation: 52-5=47
Current State: 58:[29, 49, 47], Operations: ['52-5=47']
Exploring Operation: 49-47=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 49-47=2
Current State: 58:[29, 2], Operations: ['52-5=47', '49-47=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[5, 52, 29, 49], Operations: []
Exploring Operation: 5+52=57, Resulting Numbers: [29, 49, 57]
Generated Node #0,0: 58:[29, 49, 57] Operation: 5+52=57
Exploring Operation: 52-49=3, Resulting Numbers: [5, 29, 3]
Generated Node #0,1: 58:[5, 29, 3] Operation: 52-49=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 58:[5, 29, 3], Operations: ['52-49=3']
Exploring Operation: 5+29=34, Resulting Numbers: [3, 34]
Generated Node #0,1,0: 58:[3, 34] Operation: 5+29=34
Exploring Operation: 5-3=2, Resulting Numbers: [29, 2]
Generated Node #0,1,1: 58:[29, 2] Operation: 5-3=2
Moving to Node #0,1,1
Current State: 58:[29, 2], Operations: ['52-49=3', '5-3=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[5, 52, 29, 49], Operations: []
Exploring Operation: 52-49=3, Resulting Numbers: [5, 29, 3]
Generated Node #0,1: 58:[5, 29, 3] Operation: 52-49=3
Moving to Node #0,1
Current State: 58:[5, 29, 3], Operations: ['52-49=3']
Exploring Operation: 5-3=2, Resulting Numbers: [29, 2]
Generated Node #0,1,1: 58:[29, 2] Operation: 5-3=2
Moving to Node #0,1,1
Current State: 58:[29, 2], Operations: ['52-49=3', '5-3=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
98,
84,
3,
11
] | 59 | [
"98-11=87",
"84/3=28",
"87-28=59"
] | Current State: 59:[98, 84, 3, 11], Operations: []
Exploring Operation: 98-11=87, Resulting Numbers: [84, 3, 87]
Generated Node #2: [84, 3, 87] from Operation: 98-11=87
Current State: 59:[84, 3, 87], Operations: ['98-11=87']
Exploring Operation: 84/3=28, Resulting Numbers: [87, 28]
Generated Node #3: [87, 28] from Operation: 84/3=28
Current State: 59:[87, 28], Operations: ['98-11=87', '84/3=28']
Exploring Operation: 87-28=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[98, 84, 3, 11], Operations: []
Exploring Operation: 3*11=33, Resulting Numbers: [98, 84, 33]
Generated Node #0,0: 59:[98, 84, 33] Operation: 3*11=33
Exploring Operation: 98-3=95, Resulting Numbers: [84, 11, 95]
Generated Node #0,1: 59:[84, 11, 95] Operation: 98-3=95
Exploring Operation: 98-11=87, Resulting Numbers: [84, 3, 87]
Generated Node #0,2: 59:[84, 3, 87] Operation: 98-11=87
Moving to Node #0,0
Current State: 59:[98, 84, 33], Operations: ['3*11=33']
Exploring Operation: 98-33=65, Resulting Numbers: [84, 65]
Generated Node #0,0,0: 59:[84, 65] Operation: 98-33=65
Exploring Operation: 84-33=51, Resulting Numbers: [98, 51]
Generated Node #0,0,1: 59:[98, 51] Operation: 84-33=51
Exploring Operation: 98-84=14, Resulting Numbers: [33, 14]
Generated Node #0,0,2: 59:[33, 14] Operation: 98-84=14
Moving to Node #0,1
Current State: 59:[84, 11, 95], Operations: ['98-3=95']
Exploring Operation: 84+11=95, Resulting Numbers: [95, 95]
Generated Node #0,1,0: 59:[95, 95] Operation: 84+11=95
Exploring Operation: 84-11=73, Resulting Numbers: [95, 73]
Generated Node #0,1,1: 59:[95, 73] Operation: 84-11=73
Exploring Operation: 95-11=84, Resulting Numbers: [84, 84]
Generated Node #0,1,2: 59:[84, 84] Operation: 95-11=84
Moving to Node #0,2
Current State: 59:[84, 3, 87], Operations: ['98-11=87']
Exploring Operation: 87/3=29, Resulting Numbers: [84, 29]
Generated Node #0,2,0: 59:[84, 29] Operation: 87/3=29
Exploring Operation: 84-3=81, Resulting Numbers: [87, 81]
Generated Node #0,2,1: 59:[87, 81] Operation: 84-3=81
Exploring Operation: 87-3=84, Resulting Numbers: [84, 84]
Generated Node #0,2,2: 59:[84, 84] Operation: 87-3=84
Moving to Node #0,0,0
Current State: 59:[84, 65], Operations: ['3*11=33', '98-33=65']
Exploring Operation: 84+65=149, Resulting Numbers: [149]
149,59 unequal: No Solution
Exploring Operation: 84*65=5460, Resulting Numbers: [5460]
5460,59 unequal: No Solution
Exploring Operation: 84-65=19, Resulting Numbers: [19]
19,59 unequal: No Solution
Moving to Node #0,0,1
Current State: 59:[98, 51], Operations: ['3*11=33', '84-33=51']
Exploring Operation: 98-51=47, Resulting Numbers: [47]
47,59 unequal: No Solution
Exploring Operation: 98*51=4998, Resulting Numbers: [4998]
4998,59 unequal: No Solution
Exploring Operation: 98+51=149, Resulting Numbers: [149]
149,59 unequal: No Solution
Moving to Node #0,2,1
Current State: 59:[87, 81], Operations: ['98-11=87', '84-3=81']
Exploring Operation: 87+81=168, Resulting Numbers: [168]
168,59 unequal: No Solution
Exploring Operation: 87*81=7047, Resulting Numbers: [7047]
7047,59 unequal: No Solution
Exploring Operation: 87-81=6, Resulting Numbers: [6]
6,59 unequal: No Solution
Moving to Node #0,2,2
Current State: 59:[84, 84], Operations: ['98-11=87', '87-3=84']
Exploring Operation: 84+84=168, Resulting Numbers: [168]
168,59 unequal: No Solution
Exploring Operation: 84-84=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 84/84=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Moving to Node #0,1,2
Current State: 59:[84, 84], Operations: ['98-3=95', '95-11=84']
Exploring Operation: 84-84=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 84/84=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 84+84=168, Resulting Numbers: [168]
168,59 unequal: No Solution
Moving to Node #0,1,1
Current State: 59:[95, 73], Operations: ['98-3=95', '84-11=73']
Exploring Operation: 95+73=168, Resulting Numbers: [168]
168,59 unequal: No Solution
Exploring Operation: 95-73=22, Resulting Numbers: [22]
22,59 unequal: No Solution
Exploring Operation: 95*73=6935, Resulting Numbers: [6935]
6935,59 unequal: No Solution
Moving to Node #0,2,0
Current State: 59:[84, 29], Operations: ['98-11=87', '87/3=29']
Exploring Operation: 84*29=2436, Resulting Numbers: [2436]
2436,59 unequal: No Solution
Exploring Operation: 84+29=113, Resulting Numbers: [113]
113,59 unequal: No Solution
Exploring Operation: 84-29=55, Resulting Numbers: [55]
55,59 unequal: No Solution
Moving to Node #0,0,2
Current State: 59:[33, 14], Operations: ['3*11=33', '98-84=14']
Exploring Operation: 33-14=19, Resulting Numbers: [19]
19,59 unequal: No Solution
Exploring Operation: 33*14=462, Resulting Numbers: [462]
462,59 unequal: No Solution
Exploring Operation: 33+14=47, Resulting Numbers: [47]
47,59 unequal: No Solution
Moving to Node #0,1,0
Current State: 59:[95, 95], Operations: ['98-3=95', '84+11=95']
Exploring Operation: 95-95=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 95+95=190, Resulting Numbers: [190]
190,59 unequal: No Solution
Exploring Operation: 95/95=1, Resulting Numbers: [1]
1,59 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
88,
12,
22,
29
] | 25 | [
"88-12=76",
"22+29=51",
"76-51=25"
] | Current State: 25:[88, 12, 22, 29], Operations: []
Exploring Operation: 88-12=76, Resulting Numbers: [22, 29, 76]
Generated Node #2: [22, 29, 76] from Operation: 88-12=76
Current State: 25:[22, 29, 76], Operations: ['88-12=76']
Exploring Operation: 22+29=51, Resulting Numbers: [76, 51]
Generated Node #3: [76, 51] from Operation: 22+29=51
Current State: 25:[76, 51], Operations: ['88-12=76', '22+29=51']
Exploring Operation: 76-51=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[88, 12, 22, 29], Operations: []
Exploring Operation: 88-29=59, Resulting Numbers: [12, 22, 59]
Generated Node #0,0: 25:[12, 22, 59] Operation: 88-29=59
Exploring Operation: 88-22=66, Resulting Numbers: [12, 29, 66]
Generated Node #0,1: 25:[12, 29, 66] Operation: 88-22=66
Exploring Operation: 88/22=4, Resulting Numbers: [12, 29, 4]
Generated Node #0,2: 25:[12, 29, 4] Operation: 88/22=4
Start Sub Search at level 1: Moving to Node #0,2
Current State: 25:[12, 29, 4], Operations: ['88/22=4']
Exploring Operation: 12-4=8, Resulting Numbers: [29, 8]
Generated Node #0,2,0: 25:[29, 8] Operation: 12-4=8
Exploring Operation: 12/4=3, Resulting Numbers: [29, 3]
Generated Node #0,2,1: 25:[29, 3] Operation: 12/4=3
Exploring Operation: 29-4=25, Resulting Numbers: [12, 25]
Generated Node #0,2,2: 25:[12, 25] Operation: 29-4=25
Moving to Node #0,2,1
Current State: 25:[29, 3], Operations: ['88/22=4', '12/4=3']
Exploring Operation: 29*3=87, Resulting Numbers: [87]
87,25 unequal: No Solution
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,25 unequal: No Solution
Moving to Node #0,2,0
Current State: 25:[29, 8], Operations: ['88/22=4', '12-4=8']
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,25 unequal: No Solution
Exploring Operation: 29+8=37, Resulting Numbers: [37]
37,25 unequal: No Solution
Exploring Operation: 29*8=232, Resulting Numbers: [232]
232,25 unequal: No Solution
Moving to Node #0,2,2
Current State: 25:[12, 25], Operations: ['88/22=4', '29-4=25']
Exploring Operation: 12+25=37, Resulting Numbers: [37]
37,25 unequal: No Solution
Exploring Operation: 12*25=300, Resulting Numbers: [300]
300,25 unequal: No Solution
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[12, 22, 59], Operations: ['88-29=59']
Exploring Operation: 59-12=47, Resulting Numbers: [22, 47]
Generated Node #0,0,0: 25:[22, 47] Operation: 59-12=47
Exploring Operation: 22-12=10, Resulting Numbers: [59, 10]
Generated Node #0,0,1: 25:[59, 10] Operation: 22-12=10
Exploring Operation: 59-22=37, Resulting Numbers: [12, 37]
Generated Node #0,0,2: 25:[12, 37] Operation: 59-22=37
Moving to Node #0,0,2
Current State: 25:[12, 37], Operations: ['88-29=59', '59-22=37']
Exploring Operation: 12+37=49, Resulting Numbers: [49]
49,25 unequal: No Solution
Exploring Operation: 12*37=444, Resulting Numbers: [444]
444,25 unequal: No Solution
Exploring Operation: 37-12=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[88, 12, 22, 29], Operations: []
Exploring Operation: 88-29=59, Resulting Numbers: [12, 22, 59]
Generated Node #0,0: 25:[12, 22, 59] Operation: 88-29=59
Moving to Node #0,0
Current State: 25:[12, 22, 59], Operations: ['88-29=59']
Exploring Operation: 59-22=37, Resulting Numbers: [12, 37]
Generated Node #0,0,2: 25:[12, 37] Operation: 59-22=37
Moving to Node #0,0,2
Current State: 25:[12, 37], Operations: ['88-29=59', '59-22=37']
Exploring Operation: 37-12=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_3 | mult_heuristic |
[
80,
68,
76,
27
] | 37 | [
"80-68=12",
"76-27=49",
"49-12=37"
] | Current State: 37:[80, 68, 76, 27], Operations: []
Exploring Operation: 80-68=12, Resulting Numbers: [76, 27, 12]
Generated Node #2: [76, 27, 12] from Operation: 80-68=12
Current State: 37:[76, 27, 12], Operations: ['80-68=12']
Exploring Operation: 76-27=49, Resulting Numbers: [12, 49]
Generated Node #3: [12, 49] from Operation: 76-27=49
Current State: 37:[12, 49], Operations: ['80-68=12', '76-27=49']
Exploring Operation: 49-12=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[80, 68, 76, 27], Operations: []
Exploring Operation: 80-27=53, Resulting Numbers: [68, 76, 53]
Generated Node #0,0: 37:[68, 76, 53] Operation: 80-27=53
Exploring Operation: 76-68=8, Resulting Numbers: [80, 27, 8]
Generated Node #0,1: 37:[80, 27, 8] Operation: 76-68=8
Exploring Operation: 68-27=41, Resulting Numbers: [80, 76, 41]
Generated Node #0,2: 37:[80, 76, 41] Operation: 68-27=41
Exploring Operation: 80-68=12, Resulting Numbers: [76, 27, 12]
Generated Node #0,3: 37:[76, 27, 12] Operation: 80-68=12
Exploring Operation: 80-76=4, Resulting Numbers: [68, 27, 4]
Generated Node #0,4: 37:[68, 27, 4] Operation: 80-76=4
Moving to Node #0,3
Current State: 37:[76, 27, 12], Operations: ['80-68=12']
Exploring Operation: 76-27=49, Resulting Numbers: [12, 49]
Generated Node #0,3,0: 37:[12, 49] Operation: 76-27=49
Exploring Operation: 76-12=64, Resulting Numbers: [27, 64]
Generated Node #0,3,1: 37:[27, 64] Operation: 76-12=64
Exploring Operation: 27+12=39, Resulting Numbers: [76, 39]
Generated Node #0,3,2: 37:[76, 39] Operation: 27+12=39
Exploring Operation: 27-12=15, Resulting Numbers: [76, 15]
Generated Node #0,3,3: 37:[76, 15] Operation: 27-12=15
Exploring Operation: 76+12=88, Resulting Numbers: [27, 88]
Generated Node #0,3,4: 37:[27, 88] Operation: 76+12=88
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 37:[12, 49], Operations: ['80-68=12', '76-27=49']
Exploring Operation: 12*49=588, Resulting Numbers: [588]
588,37 unequal: No Solution
Exploring Operation: 49-12=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[80, 68, 76, 27], Operations: []
Exploring Operation: 80-68=12, Resulting Numbers: [76, 27, 12]
Generated Node #0,3: 37:[76, 27, 12] Operation: 80-68=12
Moving to Node #0,3
Current State: 37:[76, 27, 12], Operations: ['80-68=12']
Exploring Operation: 76-27=49, Resulting Numbers: [12, 49]
Generated Node #0,3,0: 37:[12, 49] Operation: 76-27=49
Moving to Node #0,3,0
Current State: 37:[12, 49], Operations: ['80-68=12', '76-27=49']
Exploring Operation: 49-12=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
43,
93,
30,
80
] | 60 | [
"93-43=50",
"30+80=110",
"110-50=60"
] | Current State: 60:[43, 93, 30, 80], Operations: []
Exploring Operation: 93-43=50, Resulting Numbers: [30, 80, 50]
Generated Node #2: [30, 80, 50] from Operation: 93-43=50
Current State: 60:[30, 80, 50], Operations: ['93-43=50']
Exploring Operation: 30+80=110, Resulting Numbers: [50, 110]
Generated Node #3: [50, 110] from Operation: 30+80=110
Current State: 60:[50, 110], Operations: ['93-43=50', '30+80=110']
Exploring Operation: 110-50=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[43, 93, 30, 80], Operations: []
Exploring Operation: 93-43=50, Resulting Numbers: [30, 80, 50]
Generated Node #0,0: 60:[30, 80, 50] Operation: 93-43=50
Exploring Operation: 93-80=13, Resulting Numbers: [43, 30, 13]
Generated Node #0,1: 60:[43, 30, 13] Operation: 93-80=13
Moving to Node #0,1
Current State: 60:[43, 30, 13], Operations: ['93-80=13']
Exploring Operation: 43-13=30, Resulting Numbers: [30, 30]
Generated Node #0,1,0: 60:[30, 30] Operation: 43-13=30
Exploring Operation: 43-30=13, Resulting Numbers: [13, 13]
Generated Node #0,1,1: 60:[13, 13] Operation: 43-30=13
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 60:[30, 30], Operations: ['93-80=13', '43-13=30']
Exploring Operation: 30+30=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[43, 93, 30, 80], Operations: []
Exploring Operation: 93-80=13, Resulting Numbers: [43, 30, 13]
Generated Node #0,1: 60:[43, 30, 13] Operation: 93-80=13
Moving to Node #0,1
Current State: 60:[43, 30, 13], Operations: ['93-80=13']
Exploring Operation: 43-13=30, Resulting Numbers: [30, 30]
Generated Node #0,1,0: 60:[30, 30] Operation: 43-13=30
Moving to Node #0,1,0
Current State: 60:[30, 30], Operations: ['93-80=13', '43-13=30']
Exploring Operation: 30+30=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
10,
90,
80,
15
] | 86 | [
"90/10=9",
"80+15=95",
"95-9=86"
] | Current State: 86:[10, 90, 80, 15], Operations: []
Exploring Operation: 90/10=9, Resulting Numbers: [80, 15, 9]
Generated Node #2: [80, 15, 9] from Operation: 90/10=9
Current State: 86:[80, 15, 9], Operations: ['90/10=9']
Exploring Operation: 80+15=95, Resulting Numbers: [9, 95]
Generated Node #3: [9, 95] from Operation: 80+15=95
Current State: 86:[9, 95], Operations: ['90/10=9', '80+15=95']
Exploring Operation: 95-9=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[10, 90, 80, 15], Operations: []
Exploring Operation: 15-10=5, Resulting Numbers: [90, 80, 5]
Generated Node #0,0: 86:[90, 80, 5] Operation: 15-10=5
Exploring Operation: 80+15=95, Resulting Numbers: [10, 90, 95]
Generated Node #0,1: 86:[10, 90, 95] Operation: 80+15=95
Exploring Operation: 90/15=6, Resulting Numbers: [10, 80, 6]
Generated Node #0,2: 86:[10, 80, 6] Operation: 90/15=6
Exploring Operation: 10+80=90, Resulting Numbers: [90, 15, 90]
Generated Node #0,3: 86:[90, 15, 90] Operation: 10+80=90
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[90, 80, 5], Operations: ['15-10=5']
Exploring Operation: 90-5=85, Resulting Numbers: [80, 85]
Generated Node #0,0,0: 86:[80, 85] Operation: 90-5=85
Exploring Operation: 90+5=95, Resulting Numbers: [80, 95]
Generated Node #0,0,1: 86:[80, 95] Operation: 90+5=95
Exploring Operation: 90-80=10, Resulting Numbers: [5, 10]
Generated Node #0,0,2: 86:[5, 10] Operation: 90-80=10
Exploring Operation: 80+5=85, Resulting Numbers: [90, 85]
Generated Node #0,0,3: 86:[90, 85] Operation: 80+5=85
Moving to Node #0,0,3
Current State: 86:[90, 85], Operations: ['15-10=5', '80+5=85']
Exploring Operation: 90*85=7650, Resulting Numbers: [7650]
7650,86 unequal: No Solution
Exploring Operation: 90+85=175, Resulting Numbers: [175]
175,86 unequal: No Solution
Exploring Operation: 90-85=5, Resulting Numbers: [5]
5,86 unequal: No Solution
Moving to Node #0,0,0
Current State: 86:[80, 85], Operations: ['15-10=5', '90-5=85']
Exploring Operation: 80+85=165, Resulting Numbers: [165]
165,86 unequal: No Solution
Exploring Operation: 80*85=6800, Resulting Numbers: [6800]
6800,86 unequal: No Solution
Exploring Operation: 85-80=5, Resulting Numbers: [5]
5,86 unequal: No Solution
Moving to Node #0,0,2
Current State: 86:[5, 10], Operations: ['15-10=5', '90-80=10']
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,86 unequal: No Solution
Exploring Operation: 5+10=15, Resulting Numbers: [15]
15,86 unequal: No Solution
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,86 unequal: No Solution
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Moving to Node #0,0,1
Current State: 86:[80, 95], Operations: ['15-10=5', '90+5=95']
Exploring Operation: 80+95=175, Resulting Numbers: [175]
175,86 unequal: No Solution
Exploring Operation: 95-80=15, Resulting Numbers: [15]
15,86 unequal: No Solution
Exploring Operation: 80*95=7600, Resulting Numbers: [7600]
7600,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 86:[10, 80, 6], Operations: ['90/15=6']
Exploring Operation: 80+6=86, Resulting Numbers: [10, 86]
Generated Node #0,2,0: 86:[10, 86] Operation: 80+6=86
Exploring Operation: 80/10=8, Resulting Numbers: [6, 8]
Generated Node #0,2,1: 86:[6, 8] Operation: 80/10=8
Exploring Operation: 10+80=90, Resulting Numbers: [6, 90]
Generated Node #0,2,2: 86:[6, 90] Operation: 10+80=90
Exploring Operation: 10-6=4, Resulting Numbers: [80, 4]
Generated Node #0,2,3: 86:[80, 4] Operation: 10-6=4
Moving to Node #0,2,0
Current State: 86:[10, 86], Operations: ['90/15=6', '80+6=86']
Exploring Operation: 86-10=76, Resulting Numbers: [76]
76,86 unequal: No Solution
Exploring Operation: 10*86=860, Resulting Numbers: [860]
860,86 unequal: No Solution
Exploring Operation: 10+86=96, Resulting Numbers: [96]
96,86 unequal: No Solution
Moving to Node #0,2,3
Current State: 86:[80, 4], Operations: ['90/15=6', '10-6=4']
Exploring Operation: 80*4=320, Resulting Numbers: [320]
320,86 unequal: No Solution
Exploring Operation: 80-4=76, Resulting Numbers: [76]
76,86 unequal: No Solution
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,86 unequal: No Solution
Exploring Operation: 80+4=84, Resulting Numbers: [84]
84,86 unequal: No Solution
Moving to Node #0,2,2
Current State: 86:[6, 90], Operations: ['90/15=6', '10+80=90']
Exploring Operation: 90-6=84, Resulting Numbers: [84]
84,86 unequal: No Solution
Exploring Operation: 6+90=96, Resulting Numbers: [96]
96,86 unequal: No Solution
Exploring Operation: 6*90=540, Resulting Numbers: [540]
540,86 unequal: No Solution
Exploring Operation: 90/6=15, Resulting Numbers: [15]
15,86 unequal: No Solution
Moving to Node #0,2,1
Current State: 86:[6, 8], Operations: ['90/15=6', '80/10=8']
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Exploring Operation: 6+8=14, Resulting Numbers: [14]
14,86 unequal: No Solution
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[10, 90, 95], Operations: ['80+15=95']
Exploring Operation: 90-10=80, Resulting Numbers: [95, 80]
Generated Node #0,1,0: 86:[95, 80] Operation: 90-10=80
Exploring Operation: 90/10=9, Resulting Numbers: [95, 9]
Generated Node #0,1,1: 86:[95, 9] Operation: 90/10=9
Exploring Operation: 95-90=5, Resulting Numbers: [10, 5]
Generated Node #0,1,2: 86:[10, 5] Operation: 95-90=5
Exploring Operation: 95-10=85, Resulting Numbers: [90, 85]
Generated Node #0,1,3: 86:[90, 85] Operation: 95-10=85
Moving to Node #0,1,3
Current State: 86:[90, 85], Operations: ['80+15=95', '95-10=85']
Exploring Operation: 90+85=175, Resulting Numbers: [175]
175,86 unequal: No Solution
Exploring Operation: 90-85=5, Resulting Numbers: [5]
5,86 unequal: No Solution
Exploring Operation: 90*85=7650, Resulting Numbers: [7650]
7650,86 unequal: No Solution
Moving to Node #0,1,2
Current State: 86:[10, 5], Operations: ['80+15=95', '95-90=5']
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,86 unequal: No Solution
Exploring Operation: 10+5=15, Resulting Numbers: [15]
15,86 unequal: No Solution
Exploring Operation: 10*5=50, Resulting Numbers: [50]
50,86 unequal: No Solution
Moving to Node #0,1,0
Current State: 86:[95, 80], Operations: ['80+15=95', '90-10=80']
Exploring Operation: 95+80=175, Resulting Numbers: [175]
175,86 unequal: No Solution
Exploring Operation: 95-80=15, Resulting Numbers: [15]
15,86 unequal: No Solution
Exploring Operation: 95*80=7600, Resulting Numbers: [7600]
7600,86 unequal: No Solution
Moving to Node #0,1,1
Current State: 86:[95, 9], Operations: ['80+15=95', '90/10=9']
Exploring Operation: 95+9=104, Resulting Numbers: [104]
104,86 unequal: No Solution
Exploring Operation: 95-9=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[10, 90, 80, 15], Operations: []
Exploring Operation: 80+15=95, Resulting Numbers: [10, 90, 95]
Generated Node #0,1: 86:[10, 90, 95] Operation: 80+15=95
Moving to Node #0,1
Current State: 86:[10, 90, 95], Operations: ['80+15=95']
Exploring Operation: 90/10=9, Resulting Numbers: [95, 9]
Generated Node #0,1,1: 86:[95, 9] Operation: 90/10=9
Moving to Node #0,1,1
Current State: 86:[95, 9], Operations: ['80+15=95', '90/10=9']
Exploring Operation: 95-9=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.948785 | hs_4 | sum_heuristic |
[
48,
22,
30,
66
] | 81 | [
"48+30=78",
"66/22=3",
"78+3=81"
] | Current State: 81:[48, 22, 30, 66], Operations: []
Exploring Operation: 48+30=78, Resulting Numbers: [22, 66, 78]
Generated Node #2: [22, 66, 78] from Operation: 48+30=78
Current State: 81:[22, 66, 78], Operations: ['48+30=78']
Exploring Operation: 66/22=3, Resulting Numbers: [78, 3]
Generated Node #3: [78, 3] from Operation: 66/22=3
Current State: 81:[78, 3], Operations: ['48+30=78', '66/22=3']
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[48, 22, 30, 66], Operations: []
Exploring Operation: 48+30=78, Resulting Numbers: [22, 66, 78]
Generated Node #0,0: 81:[22, 66, 78] Operation: 48+30=78
Exploring Operation: 66/22=3, Resulting Numbers: [48, 30, 3]
Generated Node #0,1: 81:[48, 30, 3] Operation: 66/22=3
Exploring Operation: 48-22=26, Resulting Numbers: [30, 66, 26]
Generated Node #0,2: 81:[30, 66, 26] Operation: 48-22=26
Exploring Operation: 66-48=18, Resulting Numbers: [22, 30, 18]
Generated Node #0,3: 81:[22, 30, 18] Operation: 66-48=18
Start Sub Search at level 1: Moving to Node #0,3
Current State: 81:[22, 30, 18], Operations: ['66-48=18']
Exploring Operation: 22-18=4, Resulting Numbers: [30, 4]
Generated Node #0,3,0: 81:[30, 4] Operation: 22-18=4
Exploring Operation: 30-18=12, Resulting Numbers: [22, 12]
Generated Node #0,3,1: 81:[22, 12] Operation: 30-18=12
Exploring Operation: 30-22=8, Resulting Numbers: [18, 8]
Generated Node #0,3,2: 81:[18, 8] Operation: 30-22=8
Exploring Operation: 22+18=40, Resulting Numbers: [30, 40]
Generated Node #0,3,3: 81:[30, 40] Operation: 22+18=40
Moving to Node #0,3,0
Current State: 81:[30, 4], Operations: ['66-48=18', '22-18=4']
Exploring Operation: 30+4=34, Resulting Numbers: [34]
34,81 unequal: No Solution
Exploring Operation: 30*4=120, Resulting Numbers: [120]
120,81 unequal: No Solution
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,81 unequal: No Solution
Moving to Node #0,3,1
Current State: 81:[22, 12], Operations: ['66-48=18', '30-18=12']
Exploring Operation: 22+12=34, Resulting Numbers: [34]
34,81 unequal: No Solution
Exploring Operation: 22*12=264, Resulting Numbers: [264]
264,81 unequal: No Solution
Exploring Operation: 22-12=10, Resulting Numbers: [10]
10,81 unequal: No Solution
Moving to Node #0,3,2
Current State: 81:[18, 8], Operations: ['66-48=18', '30-22=8']
Exploring Operation: 18+8=26, Resulting Numbers: [26]
26,81 unequal: No Solution
Exploring Operation: 18*8=144, Resulting Numbers: [144]
144,81 unequal: No Solution
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,81 unequal: No Solution
Moving to Node #0,3,3
Current State: 81:[30, 40], Operations: ['66-48=18', '22+18=40']
Exploring Operation: 40-30=10, Resulting Numbers: [10]
10,81 unequal: No Solution
Exploring Operation: 30*40=1200, Resulting Numbers: [1200]
1200,81 unequal: No Solution
Exploring Operation: 30+40=70, Resulting Numbers: [70]
70,81 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 #0,2
Current State: 81:[30, 66, 26], Operations: ['48-22=26']
Exploring Operation: 66+26=92, Resulting Numbers: [30, 92]
Generated Node #0,2,0: 81:[30, 92] Operation: 66+26=92
Exploring Operation: 30-26=4, Resulting Numbers: [66, 4]
Generated Node #0,2,1: 81:[66, 4] Operation: 30-26=4
Exploring Operation: 30+66=96, Resulting Numbers: [26, 96]
Generated Node #0,2,2: 81:[26, 96] Operation: 30+66=96
Exploring Operation: 66-30=36, Resulting Numbers: [26, 36]
Generated Node #0,2,3: 81:[26, 36] Operation: 66-30=36
Moving to Node #0,2,3
Current State: 81:[26, 36], Operations: ['48-22=26', '66-30=36']
Exploring Operation: 26*36=936, Resulting Numbers: [936]
936,81 unequal: No Solution
Exploring Operation: 26+36=62, Resulting Numbers: [62]
62,81 unequal: No Solution
Exploring Operation: 36-26=10, Resulting Numbers: [10]
10,81 unequal: No Solution
Moving to Node #0,2,0
Current State: 81:[30, 92], Operations: ['48-22=26', '66+26=92']
Exploring Operation: 30*92=2760, Resulting Numbers: [2760]
2760,81 unequal: No Solution
Exploring Operation: 30+92=122, Resulting Numbers: [122]
122,81 unequal: No Solution
Exploring Operation: 92-30=62, Resulting Numbers: [62]
62,81 unequal: No Solution
Moving to Node #0,2,2
Current State: 81:[26, 96], Operations: ['48-22=26', '30+66=96']
Exploring Operation: 26*96=2496, Resulting Numbers: [2496]
2496,81 unequal: No Solution
Exploring Operation: 26+96=122, Resulting Numbers: [122]
122,81 unequal: No Solution
Exploring Operation: 96-26=70, Resulting Numbers: [70]
70,81 unequal: No Solution
Moving to Node #0,2,1
Current State: 81:[66, 4], Operations: ['48-22=26', '30-26=4']
Exploring Operation: 66+4=70, Resulting Numbers: [70]
70,81 unequal: No Solution
Exploring Operation: 66*4=264, Resulting Numbers: [264]
264,81 unequal: No Solution
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,81 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 #0,0
Current State: 81:[22, 66, 78], Operations: ['48+30=78']
Exploring Operation: 66/22=3, Resulting Numbers: [78, 3]
Generated Node #0,0,0: 81:[78, 3] Operation: 66/22=3
Exploring Operation: 66-22=44, Resulting Numbers: [78, 44]
Generated Node #0,0,1: 81:[78, 44] Operation: 66-22=44
Exploring Operation: 22+66=88, Resulting Numbers: [78, 88]
Generated Node #0,0,2: 81:[78, 88] Operation: 22+66=88
Exploring Operation: 78-66=12, Resulting Numbers: [22, 12]
Generated Node #0,0,3: 81:[22, 12] Operation: 78-66=12
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 81:[78, 3], Operations: ['48+30=78', '66/22=3']
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[48, 22, 30, 66], Operations: []
Exploring Operation: 48+30=78, Resulting Numbers: [22, 66, 78]
Generated Node #0,0: 81:[22, 66, 78] Operation: 48+30=78
Moving to Node #0,0
Current State: 81:[22, 66, 78], Operations: ['48+30=78']
Exploring Operation: 66/22=3, Resulting Numbers: [78, 3]
Generated Node #0,0,0: 81:[78, 3] Operation: 66/22=3
Moving to Node #0,0,0
Current State: 81:[78, 3], Operations: ['48+30=78', '66/22=3']
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.960938 | hs_4 | sum_heuristic |
[
68,
16,
14,
83
] | 89 | [
"68+16=84",
"84/14=6",
"83+6=89"
] | Current State: 89:[68, 16, 14, 83], Operations: []
Exploring Operation: 68+16=84, Resulting Numbers: [14, 83, 84]
Generated Node #2: [14, 83, 84] from Operation: 68+16=84
Current State: 89:[14, 83, 84], Operations: ['68+16=84']
Exploring Operation: 84/14=6, Resulting Numbers: [83, 6]
Generated Node #3: [83, 6] from Operation: 84/14=6
Current State: 89:[83, 6], Operations: ['68+16=84', '84/14=6']
Exploring Operation: 83+6=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[68, 16, 14, 83], Operations: []
Exploring Operation: 68+14=82, Resulting Numbers: [16, 83, 82]
Generated Node #0,0: 89:[16, 83, 82] Operation: 68+14=82
Exploring Operation: 68+16=84, Resulting Numbers: [14, 83, 84]
Generated Node #0,1: 89:[14, 83, 84] Operation: 68+16=84
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[16, 83, 82], Operations: ['68+14=82']
Exploring Operation: 16+83=99, Resulting Numbers: [82, 99]
Generated Node #0,0,0: 89:[82, 99] Operation: 16+83=99
Exploring Operation: 16+82=98, Resulting Numbers: [83, 98]
Generated Node #0,0,1: 89:[83, 98] Operation: 16+82=98
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 89:[83, 98], Operations: ['68+14=82', '16+82=98']
Exploring Operation: 98-83=15, Resulting Numbers: [15]
15,89 unequal: No Solution
Exploring Operation: 83+98=181, Resulting Numbers: [181]
181,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 89:[82, 99], Operations: ['68+14=82', '16+83=99']
Exploring Operation: 82+99=181, Resulting Numbers: [181]
181,89 unequal: No Solution
Exploring Operation: 99-82=17, Resulting Numbers: [17]
17,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 89:[14, 83, 84], Operations: ['68+16=84']
Exploring Operation: 14+83=97, Resulting Numbers: [84, 97]
Generated Node #0,1,0: 89:[84, 97] Operation: 14+83=97
Exploring Operation: 14+84=98, Resulting Numbers: [83, 98]
Generated Node #0,1,1: 89:[83, 98] Operation: 14+84=98
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 89:[84, 97], Operations: ['68+16=84', '14+83=97']
Exploring Operation: 84+97=181, Resulting Numbers: [181]
181,89 unequal: No Solution
Exploring Operation: 97-84=13, Resulting Numbers: [13]
13,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 89:[83, 98], Operations: ['68+16=84', '14+84=98']
Exploring Operation: 83+98=181, Resulting Numbers: [181]
181,89 unequal: No Solution
Exploring Operation: 98-83=15, Resulting Numbers: [15]
15,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
79,
4,
53,
10
] | 64 | [
"79-53=26",
"26-10=16",
"4*16=64"
] | Current State: 64:[79, 4, 53, 10], Operations: []
Exploring Operation: 79-53=26, Resulting Numbers: [4, 10, 26]
Generated Node #2: [4, 10, 26] from Operation: 79-53=26
Current State: 64:[4, 10, 26], Operations: ['79-53=26']
Exploring Operation: 26-10=16, Resulting Numbers: [4, 16]
Generated Node #3: [4, 16] from Operation: 26-10=16
Current State: 64:[4, 16], Operations: ['79-53=26', '26-10=16']
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[79, 4, 53, 10], Operations: []
Exploring Operation: 79-53=26, Resulting Numbers: [4, 10, 26]
Generated Node #0,0: 64:[4, 10, 26] Operation: 79-53=26
Moving to Node #0,0
Current State: 64:[4, 10, 26], Operations: ['79-53=26']
Exploring Operation: 26-10=16, Resulting Numbers: [4, 16]
Generated Node #0,0,0: 64:[4, 16] Operation: 26-10=16
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 64:[4, 16], Operations: ['79-53=26', '26-10=16']
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[79, 4, 53, 10], Operations: []
Exploring Operation: 79-53=26, Resulting Numbers: [4, 10, 26]
Generated Node #0,0: 64:[4, 10, 26] Operation: 79-53=26
Moving to Node #0,0
Current State: 64:[4, 10, 26], Operations: ['79-53=26']
Exploring Operation: 26-10=16, Resulting Numbers: [4, 16]
Generated Node #0,0,0: 64:[4, 16] Operation: 26-10=16
Moving to Node #0,0,0
Current State: 64:[4, 16], Operations: ['79-53=26', '26-10=16']
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
41,
47,
55,
5
] | 28 | [
"41+47=88",
"55+5=60",
"88-60=28"
] | Current State: 28:[41, 47, 55, 5], Operations: []
Exploring Operation: 41+47=88, Resulting Numbers: [55, 5, 88]
Generated Node #2: [55, 5, 88] from Operation: 41+47=88
Current State: 28:[55, 5, 88], Operations: ['41+47=88']
Exploring Operation: 55+5=60, Resulting Numbers: [88, 60]
Generated Node #3: [88, 60] from Operation: 55+5=60
Current State: 28:[88, 60], Operations: ['41+47=88', '55+5=60']
Exploring Operation: 88-60=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[41, 47, 55, 5], Operations: []
Exploring Operation: 47-41=6, Resulting Numbers: [55, 5, 6]
Generated Node #0,0: 28:[55, 5, 6] Operation: 47-41=6
Exploring Operation: 55/5=11, Resulting Numbers: [41, 47, 11]
Generated Node #0,1: 28:[41, 47, 11] Operation: 55/5=11
Exploring Operation: 55-41=14, Resulting Numbers: [47, 5, 14]
Generated Node #0,2: 28:[47, 5, 14] Operation: 55-41=14
Exploring Operation: 55-47=8, Resulting Numbers: [41, 5, 8]
Generated Node #0,3: 28:[41, 5, 8] Operation: 55-47=8
Moving to Node #0,3
Current State: 28:[41, 5, 8], Operations: ['55-47=8']
Exploring Operation: 5+8=13, Resulting Numbers: [41, 13]
Generated Node #0,3,0: 28:[41, 13] Operation: 5+8=13
Exploring Operation: 8-5=3, Resulting Numbers: [41, 3]
Generated Node #0,3,1: 28:[41, 3] Operation: 8-5=3
Exploring Operation: 41-5=36, Resulting Numbers: [8, 36]
Generated Node #0,3,2: 28:[8, 36] Operation: 41-5=36
Exploring Operation: 41-8=33, Resulting Numbers: [5, 33]
Generated Node #0,3,3: 28:[5, 33] Operation: 41-8=33
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 28:[5, 33], Operations: ['55-47=8', '41-8=33']
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[41, 47, 55, 5], Operations: []
Exploring Operation: 55-47=8, Resulting Numbers: [41, 5, 8]
Generated Node #0,3: 28:[41, 5, 8] Operation: 55-47=8
Moving to Node #0,3
Current State: 28:[41, 5, 8], Operations: ['55-47=8']
Exploring Operation: 41-8=33, Resulting Numbers: [5, 33]
Generated Node #0,3,3: 28:[5, 33] Operation: 41-8=33
Moving to Node #0,3,3
Current State: 28:[5, 33], Operations: ['55-47=8', '41-8=33']
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
47,
5,
2,
7
] | 38 | [
"47+5=52",
"2*7=14",
"52-14=38"
] | Current State: 38:[47, 5, 2, 7], Operations: []
Exploring Operation: 47+5=52, Resulting Numbers: [2, 7, 52]
Generated Node #2: [2, 7, 52] from Operation: 47+5=52
Current State: 38:[2, 7, 52], Operations: ['47+5=52']
Exploring Operation: 2*7=14, Resulting Numbers: [52, 14]
Generated Node #3: [52, 14] from Operation: 2*7=14
Current State: 38:[52, 14], Operations: ['47+5=52', '2*7=14']
Exploring Operation: 52-14=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[47, 5, 2, 7], Operations: []
Exploring Operation: 47-7=40, Resulting Numbers: [5, 2, 40]
Generated Node #0,0: 38:[5, 2, 40] Operation: 47-7=40
Exploring Operation: 47-5=42, Resulting Numbers: [2, 7, 42]
Generated Node #0,1: 38:[2, 7, 42] Operation: 47-5=42
Exploring Operation: 5*7=35, Resulting Numbers: [47, 2, 35]
Generated Node #0,2: 38:[47, 2, 35] Operation: 5*7=35
Exploring Operation: 7-5=2, Resulting Numbers: [47, 2, 2]
Generated Node #0,3: 38:[47, 2, 2] Operation: 7-5=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[5, 2, 40], Operations: ['47-7=40']
Exploring Operation: 40/2=20, Resulting Numbers: [5, 20]
Generated Node #0,0,0: 38:[5, 20] Operation: 40/2=20
Exploring Operation: 40-5=35, Resulting Numbers: [2, 35]
Generated Node #0,0,1: 38:[2, 35] Operation: 40-5=35
Exploring Operation: 5-2=3, Resulting Numbers: [40, 3]
Generated Node #0,0,2: 38:[40, 3] Operation: 5-2=3
Exploring Operation: 40-2=38, Resulting Numbers: [5, 38]
Generated Node #0,0,3: 38:[5, 38] Operation: 40-2=38
Moving to Node #0,0,1
Current State: 38:[2, 35], Operations: ['47-7=40', '40-5=35']
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,38 unequal: No Solution
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,38 unequal: No Solution
Exploring Operation: 2+35=37, Resulting Numbers: [37]
37,38 unequal: No Solution
Moving to Node #0,0,3
Current State: 38:[5, 38], Operations: ['47-7=40', '40-2=38']
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,38 unequal: No Solution
Exploring Operation: 5*38=190, Resulting Numbers: [190]
190,38 unequal: No Solution
Exploring Operation: 5+38=43, Resulting Numbers: [43]
43,38 unequal: No Solution
Moving to Node #0,0,2
Current State: 38:[40, 3], Operations: ['47-7=40', '5-2=3']
Exploring Operation: 40*3=120, Resulting Numbers: [120]
120,38 unequal: No Solution
Exploring Operation: 40+3=43, Resulting Numbers: [43]
43,38 unequal: No Solution
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,38 unequal: No Solution
Moving to Node #0,0,0
Current State: 38:[5, 20], Operations: ['47-7=40', '40/2=20']
Exploring Operation: 5+20=25, Resulting Numbers: [25]
25,38 unequal: No Solution
Exploring Operation: 5*20=100, Resulting Numbers: [100]
100,38 unequal: No Solution
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,38 unequal: No Solution
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 38:[2, 7, 42], Operations: ['47-5=42']
Exploring Operation: 7-2=5, Resulting Numbers: [42, 5]
Generated Node #0,1,0: 38:[42, 5] Operation: 7-2=5
Exploring Operation: 42/7=6, Resulting Numbers: [2, 6]
Generated Node #0,1,1: 38:[2, 6] Operation: 42/7=6
Exploring Operation: 42-7=35, Resulting Numbers: [2, 35]
Generated Node #0,1,2: 38:[2, 35] Operation: 42-7=35
Exploring Operation: 42-2=40, Resulting Numbers: [7, 40]
Generated Node #0,1,3: 38:[7, 40] Operation: 42-2=40
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 38:[2, 35], Operations: ['47-5=42', '42-7=35']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,38 unequal: No Solution
Exploring Operation: 2+35=37, Resulting Numbers: [37]
37,38 unequal: No Solution
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 38:[2, 6], Operations: ['47-5=42', '42/7=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,38 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,38 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,38 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 38:[42, 5], Operations: ['47-5=42', '7-2=5']
Exploring Operation: 42*5=210, Resulting Numbers: [210]
210,38 unequal: No Solution
Exploring Operation: 42+5=47, Resulting Numbers: [47]
47,38 unequal: No Solution
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 38:[7, 40], Operations: ['47-5=42', '42-2=40']
Exploring Operation: 7*40=280, Resulting Numbers: [280]
280,38 unequal: No Solution
Exploring Operation: 40-7=33, Resulting Numbers: [33]
33,38 unequal: No Solution
Exploring Operation: 7+40=47, Resulting Numbers: [47]
47,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 38:[47, 2, 2], Operations: ['7-5=2']
Exploring Operation: 47-2=45, Resulting Numbers: [2, 45]
Generated Node #0,3,0: 38:[2, 45] Operation: 47-2=45
Exploring Operation: 47+2=49, Resulting Numbers: [2, 49]
Generated Node #0,3,1: 38:[2, 49] Operation: 47+2=49
Exploring Operation: 2/2=1, Resulting Numbers: [47, 1]
Generated Node #0,3,2: 38:[47, 1] Operation: 2/2=1
Exploring Operation: 47-2=45, Resulting Numbers: [2, 45]
Generated Node #0,3,3: 38:[2, 45] Operation: 47-2=45
Moving to Node #0,3,0
Current State: 38:[2, 45], Operations: ['7-5=2', '47-2=45']
Exploring Operation: 2*45=90, Resulting Numbers: [90]
90,38 unequal: No Solution
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,38 unequal: No Solution
Exploring Operation: 2+45=47, Resulting Numbers: [47]
47,38 unequal: No Solution
Moving to Node #0,3,3
Current State: 38:[2, 45], Operations: ['7-5=2', '47-2=45']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,38 unequal: No Solution
Exploring Operation: 2+45=47, Resulting Numbers: [47]
47,38 unequal: No Solution
Exploring Operation: 2*45=90, Resulting Numbers: [90]
90,38 unequal: No Solution
Moving to Node #0,3,2
Current State: 38:[47, 1], Operations: ['7-5=2', '2/2=1']
Exploring Operation: 47/1=47, Resulting Numbers: [47]
47,38 unequal: No Solution
Exploring Operation: 47*1=47, Resulting Numbers: [47]
47,38 unequal: No Solution
Exploring Operation: 47+1=48, Resulting Numbers: [48]
48,38 unequal: No Solution
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,38 unequal: No Solution
Moving to Node #0,3,1
Current State: 38:[2, 49], Operations: ['7-5=2', '47+2=49']
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,38 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,38 unequal: No Solution
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 38:[47, 2, 35], Operations: ['5*7=35']
Exploring Operation: 47-35=12, Resulting Numbers: [2, 12]
Generated Node #0,2,0: 38:[2, 12] Operation: 47-35=12
Exploring Operation: 47+2=49, Resulting Numbers: [35, 49]
Generated Node #0,2,1: 38:[35, 49] Operation: 47+2=49
Exploring Operation: 2+35=37, Resulting Numbers: [47, 37]
Generated Node #0,2,2: 38:[47, 37] Operation: 2+35=37
Exploring Operation: 47-2=45, Resulting Numbers: [35, 45]
Generated Node #0,2,3: 38:[35, 45] Operation: 47-2=45
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 38:[2, 12], Operations: ['5*7=35', '47-35=12']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,38 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,38 unequal: No Solution
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,38 unequal: No Solution
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 38:[47, 37], Operations: ['5*7=35', '2+35=37']
Exploring Operation: 47*37=1739, Resulting Numbers: [1739]
1739,38 unequal: No Solution
Exploring Operation: 47+37=84, Resulting Numbers: [84]
84,38 unequal: No Solution
Exploring Operation: 47-37=10, Resulting Numbers: [10]
10,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 38:[35, 45], Operations: ['5*7=35', '47-2=45']
Exploring Operation: 35*45=1575, Resulting Numbers: [1575]
1575,38 unequal: No Solution
Exploring Operation: 45-35=10, Resulting Numbers: [10]
10,38 unequal: No Solution
Exploring Operation: 35+45=80, Resulting Numbers: [80]
80,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 38:[35, 49], Operations: ['5*7=35', '47+2=49']
Exploring Operation: 35+49=84, Resulting Numbers: [84]
84,38 unequal: No Solution
Exploring Operation: 49-35=14, Resulting Numbers: [14]
14,38 unequal: No Solution
Exploring Operation: 35*49=1715, Resulting Numbers: [1715]
1715,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
81,
32,
31,
51
] | 33 | [
"81-32=49",
"31+51=82",
"82-49=33"
] | Current State: 33:[81, 32, 31, 51], Operations: []
Exploring Operation: 81-32=49, Resulting Numbers: [31, 51, 49]
Generated Node #2: [31, 51, 49] from Operation: 81-32=49
Current State: 33:[31, 51, 49], Operations: ['81-32=49']
Exploring Operation: 31+51=82, Resulting Numbers: [49, 82]
Generated Node #3: [49, 82] from Operation: 31+51=82
Current State: 33:[49, 82], Operations: ['81-32=49', '31+51=82']
Exploring Operation: 82-49=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[81, 32, 31, 51], Operations: []
Exploring Operation: 51-32=19, Resulting Numbers: [81, 31, 19]
Generated Node #0,0: 33:[81, 31, 19] Operation: 51-32=19
Exploring Operation: 81-31=50, Resulting Numbers: [32, 51, 50]
Generated Node #0,1: 33:[32, 51, 50] Operation: 81-31=50
Exploring Operation: 81-32=49, Resulting Numbers: [31, 51, 49]
Generated Node #0,2: 33:[31, 51, 49] Operation: 81-32=49
Exploring Operation: 81-51=30, Resulting Numbers: [32, 31, 30]
Generated Node #0,3: 33:[32, 31, 30] Operation: 81-51=30
Start Sub Search at level 1: Moving to Node #0,3
Current State: 33:[32, 31, 30], Operations: ['81-51=30']
Exploring Operation: 31-30=1, Resulting Numbers: [32, 1]
Generated Node #0,3,0: 33:[32, 1] Operation: 31-30=1
Exploring Operation: 32-31=1, Resulting Numbers: [30, 1]
Generated Node #0,3,1: 33:[30, 1] Operation: 32-31=1
Exploring Operation: 31+30=61, Resulting Numbers: [32, 61]
Generated Node #0,3,2: 33:[32, 61] Operation: 31+30=61
Exploring Operation: 32-30=2, Resulting Numbers: [31, 2]
Generated Node #0,3,3: 33:[31, 2] Operation: 32-30=2
Moving to Node #0,3,0
Current State: 33:[32, 1], Operations: ['81-51=30', '31-30=1']
Exploring Operation: 32+1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[81, 32, 31, 51], Operations: []
Exploring Operation: 81-51=30, Resulting Numbers: [32, 31, 30]
Generated Node #0,3: 33:[32, 31, 30] Operation: 81-51=30
Moving to Node #0,3
Current State: 33:[32, 31, 30], Operations: ['81-51=30']
Exploring Operation: 31-30=1, Resulting Numbers: [32, 1]
Generated Node #0,3,0: 33:[32, 1] Operation: 31-30=1
Moving to Node #0,3,0
Current State: 33:[32, 1], Operations: ['81-51=30', '31-30=1']
Exploring Operation: 32+1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
29,
60,
43,
45
] | 59 | [
"45-43=2",
"60/2=30",
"29+30=59"
] | Current State: 59:[29, 60, 43, 45], Operations: []
Exploring Operation: 45-43=2, Resulting Numbers: [29, 60, 2]
Generated Node #2: [29, 60, 2] from Operation: 45-43=2
Current State: 59:[29, 60, 2], Operations: ['45-43=2']
Exploring Operation: 60/2=30, Resulting Numbers: [29, 30]
Generated Node #3: [29, 30] from Operation: 60/2=30
Current State: 59:[29, 30], Operations: ['45-43=2', '60/2=30']
Exploring Operation: 29+30=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[29, 60, 43, 45], Operations: []
Exploring Operation: 29+43=72, Resulting Numbers: [60, 45, 72]
Generated Node #0,0: 59:[60, 45, 72] Operation: 29+43=72
Exploring Operation: 29+45=74, Resulting Numbers: [60, 43, 74]
Generated Node #0,1: 59:[60, 43, 74] Operation: 29+45=74
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[60, 45, 72], Operations: ['29+43=72']
Exploring Operation: 60-45=15, Resulting Numbers: [72, 15]
Generated Node #0,0,0: 59:[72, 15] Operation: 60-45=15
Exploring Operation: 72-45=27, Resulting Numbers: [60, 27]
Generated Node #0,0,1: 59:[60, 27] Operation: 72-45=27
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 59:[60, 27], Operations: ['29+43=72', '72-45=27']
Exploring Operation: 60-27=33, Resulting Numbers: [33]
33,59 unequal: No Solution
Exploring Operation: 60+27=87, Resulting Numbers: [87]
87,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 59:[72, 15], Operations: ['29+43=72', '60-45=15']
Exploring Operation: 72+15=87, Resulting Numbers: [87]
87,59 unequal: No Solution
Exploring Operation: 72-15=57, Resulting Numbers: [57]
57,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[60, 43, 74], Operations: ['29+45=74']
Exploring Operation: 60-43=17, Resulting Numbers: [74, 17]
Generated Node #0,1,0: 59:[74, 17] Operation: 60-43=17
Exploring Operation: 74-43=31, Resulting Numbers: [60, 31]
Generated Node #0,1,1: 59:[60, 31] Operation: 74-43=31
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 59:[60, 31], Operations: ['29+45=74', '74-43=31']
Exploring Operation: 60+31=91, Resulting Numbers: [91]
91,59 unequal: No Solution
Exploring Operation: 60-31=29, Resulting Numbers: [29]
29,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 59:[74, 17], Operations: ['29+45=74', '60-43=17']
Exploring Operation: 74+17=91, Resulting Numbers: [91]
91,59 unequal: No Solution
Exploring Operation: 74-17=57, Resulting Numbers: [57]
57,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
62,
16,
73,
84
] | 57 | [
"62-16=46",
"84-73=11",
"46+11=57"
] | Current State: 57:[62, 16, 73, 84], Operations: []
Exploring Operation: 62-16=46, Resulting Numbers: [73, 84, 46]
Generated Node #2: [73, 84, 46] from Operation: 62-16=46
Current State: 57:[73, 84, 46], Operations: ['62-16=46']
Exploring Operation: 84-73=11, Resulting Numbers: [46, 11]
Generated Node #3: [46, 11] from Operation: 84-73=11
Current State: 57:[46, 11], Operations: ['62-16=46', '84-73=11']
Exploring Operation: 46+11=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[62, 16, 73, 84], Operations: []
Exploring Operation: 84-73=11, Resulting Numbers: [62, 16, 11]
Generated Node #0,0: 57:[62, 16, 11] Operation: 84-73=11
Moving to Node #0,0
Current State: 57:[62, 16, 11], Operations: ['84-73=11']
Exploring Operation: 16-11=5, Resulting Numbers: [62, 5]
Generated Node #0,0,0: 57:[62, 5] Operation: 16-11=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 57:[62, 5], Operations: ['84-73=11', '16-11=5']
Exploring Operation: 62-5=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[62, 16, 73, 84], Operations: []
Exploring Operation: 84-73=11, Resulting Numbers: [62, 16, 11]
Generated Node #0,0: 57:[62, 16, 11] Operation: 84-73=11
Moving to Node #0,0
Current State: 57:[62, 16, 11], Operations: ['84-73=11']
Exploring Operation: 16-11=5, Resulting Numbers: [62, 5]
Generated Node #0,0,0: 57:[62, 5] Operation: 16-11=5
Moving to Node #0,0,0
Current State: 57:[62, 5], Operations: ['84-73=11', '16-11=5']
Exploring Operation: 62-5=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
6,
12,
67,
48
] | 47 | [
"48/6=8",
"67-12=55",
"55-8=47"
] | Current State: 47:[6, 12, 67, 48], Operations: []
Exploring Operation: 48/6=8, Resulting Numbers: [12, 67, 8]
Generated Node #2: [12, 67, 8] from Operation: 48/6=8
Current State: 47:[12, 67, 8], Operations: ['48/6=8']
Exploring Operation: 67-12=55, Resulting Numbers: [8, 55]
Generated Node #3: [8, 55] from Operation: 67-12=55
Current State: 47:[8, 55], Operations: ['48/6=8', '67-12=55']
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[6, 12, 67, 48], Operations: []
Exploring Operation: 67-6=61, Resulting Numbers: [12, 48, 61]
Generated Node #0,0: 47:[12, 48, 61] Operation: 67-6=61
Exploring Operation: 67-12=55, Resulting Numbers: [6, 48, 55]
Generated Node #0,1: 47:[6, 48, 55] Operation: 67-12=55
Exploring Operation: 6*12=72, Resulting Numbers: [67, 48, 72]
Generated Node #0,2: 47:[67, 48, 72] Operation: 6*12=72
Exploring Operation: 6+12=18, Resulting Numbers: [67, 48, 18]
Generated Node #0,3: 47:[67, 48, 18] Operation: 6+12=18
Start Sub Search at level 1: Moving to Node #0,2
Current State: 47:[67, 48, 72], Operations: ['6*12=72']
Exploring Operation: 67+48=115, Resulting Numbers: [72, 115]
Generated Node #0,2,0: 47:[72, 115] Operation: 67+48=115
Exploring Operation: 72-48=24, Resulting Numbers: [67, 24]
Generated Node #0,2,1: 47:[67, 24] Operation: 72-48=24
Exploring Operation: 67-48=19, Resulting Numbers: [72, 19]
Generated Node #0,2,2: 47:[72, 19] Operation: 67-48=19
Exploring Operation: 72-67=5, Resulting Numbers: [48, 5]
Generated Node #0,2,3: 47:[48, 5] Operation: 72-67=5
Moving to Node #0,2,1
Current State: 47:[67, 24], Operations: ['6*12=72', '72-48=24']
Exploring Operation: 67+24=91, Resulting Numbers: [91]
91,47 unequal: No Solution
Exploring Operation: 67-24=43, Resulting Numbers: [43]
43,47 unequal: No Solution
Exploring Operation: 67*24=1608, Resulting Numbers: [1608]
1608,47 unequal: No Solution
Moving to Node #0,2,3
Current State: 47:[48, 5], Operations: ['6*12=72', '72-67=5']
Exploring Operation: 48-5=43, Resulting Numbers: [43]
43,47 unequal: No Solution
Exploring Operation: 48+5=53, Resulting Numbers: [53]
53,47 unequal: No Solution
Exploring Operation: 48*5=240, Resulting Numbers: [240]
240,47 unequal: No Solution
Moving to Node #0,2,2
Current State: 47:[72, 19], Operations: ['6*12=72', '67-48=19']
Exploring Operation: 72-19=53, Resulting Numbers: [53]
53,47 unequal: No Solution
Exploring Operation: 72*19=1368, Resulting Numbers: [1368]
1368,47 unequal: No Solution
Exploring Operation: 72+19=91, Resulting Numbers: [91]
91,47 unequal: No Solution
Moving to Node #0,2,0
Current State: 47:[72, 115], Operations: ['6*12=72', '67+48=115']
Exploring Operation: 115-72=43, Resulting Numbers: [43]
43,47 unequal: No Solution
Exploring Operation: 72+115=187, Resulting Numbers: [187]
187,47 unequal: No Solution
Exploring Operation: 72*115=8280, Resulting Numbers: [8280]
8280,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[12, 48, 61], Operations: ['67-6=61']
Exploring Operation: 61-12=49, Resulting Numbers: [48, 49]
Generated Node #0,0,0: 47:[48, 49] Operation: 61-12=49
Exploring Operation: 12+61=73, Resulting Numbers: [48, 73]
Generated Node #0,0,1: 47:[48, 73] Operation: 12+61=73
Exploring Operation: 48-12=36, Resulting Numbers: [61, 36]
Generated Node #0,0,2: 47:[61, 36] Operation: 48-12=36
Exploring Operation: 12+48=60, Resulting Numbers: [61, 60]
Generated Node #0,0,3: 47:[61, 60] Operation: 12+48=60
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 47:[48, 49], Operations: ['67-6=61', '61-12=49']
Exploring Operation: 49-48=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 48*49=2352, Resulting Numbers: [2352]
2352,47 unequal: No Solution
Exploring Operation: 48+49=97, Resulting Numbers: [97]
97,47 unequal: No Solution
No 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: 47:[61, 36], Operations: ['67-6=61', '48-12=36']
Exploring Operation: 61*36=2196, Resulting Numbers: [2196]
2196,47 unequal: No Solution
Exploring Operation: 61+36=97, Resulting Numbers: [97]
97,47 unequal: No Solution
Exploring Operation: 61-36=25, Resulting Numbers: [25]
25,47 unequal: No Solution
No 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: 47:[48, 73], Operations: ['67-6=61', '12+61=73']
Exploring Operation: 73-48=25, Resulting Numbers: [25]
25,47 unequal: No Solution
Exploring Operation: 48+73=121, Resulting Numbers: [121]
121,47 unequal: No Solution
Exploring Operation: 48*73=3504, Resulting Numbers: [3504]
3504,47 unequal: No Solution
No 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: 47:[61, 60], Operations: ['67-6=61', '12+48=60']
Exploring Operation: 61-60=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 61*60=3660, Resulting Numbers: [3660]
3660,47 unequal: No Solution
Exploring Operation: 61+60=121, Resulting Numbers: [121]
121,47 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: 47:[6, 48, 55], Operations: ['67-12=55']
Exploring Operation: 48-6=42, Resulting Numbers: [55, 42]
Generated Node #0,1,0: 47:[55, 42] Operation: 48-6=42
Exploring Operation: 6+48=54, Resulting Numbers: [55, 54]
Generated Node #0,1,1: 47:[55, 54] Operation: 6+48=54
Exploring Operation: 6+55=61, Resulting Numbers: [48, 61]
Generated Node #0,1,2: 47:[48, 61] Operation: 6+55=61
Exploring Operation: 55-6=49, Resulting Numbers: [48, 49]
Generated Node #0,1,3: 47:[48, 49] Operation: 55-6=49
Moving to Node #0,1,3
Current State: 47:[48, 49], Operations: ['67-12=55', '55-6=49']
Exploring Operation: 48+49=97, Resulting Numbers: [97]
97,47 unequal: No Solution
Exploring Operation: 49-48=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 48*49=2352, Resulting Numbers: [2352]
2352,47 unequal: No Solution
Moving to Node #0,1,0
Current State: 47:[55, 42], Operations: ['67-12=55', '48-6=42']
Exploring Operation: 55*42=2310, Resulting Numbers: [2310]
2310,47 unequal: No Solution
Exploring Operation: 55-42=13, Resulting Numbers: [13]
13,47 unequal: No Solution
Exploring Operation: 55+42=97, Resulting Numbers: [97]
97,47 unequal: No Solution
Moving to Node #0,1,2
Current State: 47:[48, 61], Operations: ['67-12=55', '6+55=61']
Exploring Operation: 61-48=13, Resulting Numbers: [13]
13,47 unequal: No Solution
Exploring Operation: 48*61=2928, Resulting Numbers: [2928]
2928,47 unequal: No Solution
Exploring Operation: 48+61=109, Resulting Numbers: [109]
109,47 unequal: No Solution
Moving to Node #0,1,1
Current State: 47:[55, 54], Operations: ['67-12=55', '6+48=54']
Exploring Operation: 55-54=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 55*54=2970, Resulting Numbers: [2970]
2970,47 unequal: No Solution
Exploring Operation: 55+54=109, Resulting Numbers: [109]
109,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 47:[67, 48, 18], Operations: ['6+12=18']
Exploring Operation: 48-18=30, Resulting Numbers: [67, 30]
Generated Node #0,3,0: 47:[67, 30] Operation: 48-18=30
Exploring Operation: 67-18=49, Resulting Numbers: [48, 49]
Generated Node #0,3,1: 47:[48, 49] Operation: 67-18=49
Exploring Operation: 67+18=85, Resulting Numbers: [48, 85]
Generated Node #0,3,2: 47:[48, 85] Operation: 67+18=85
Exploring Operation: 48+18=66, Resulting Numbers: [67, 66]
Generated Node #0,3,3: 47:[67, 66] Operation: 48+18=66
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 47:[48, 49], Operations: ['6+12=18', '67-18=49']
Exploring Operation: 49-48=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 48*49=2352, Resulting Numbers: [2352]
2352,47 unequal: No Solution
Exploring Operation: 48+49=97, Resulting Numbers: [97]
97,47 unequal: No Solution
No 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: 47:[67, 30], Operations: ['6+12=18', '48-18=30']
Exploring Operation: 67*30=2010, Resulting Numbers: [2010]
2010,47 unequal: No Solution
Exploring Operation: 67+30=97, Resulting Numbers: [97]
97,47 unequal: No Solution
Exploring Operation: 67-30=37, Resulting Numbers: [37]
37,47 unequal: No Solution
No 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: 47:[48, 85], Operations: ['6+12=18', '67+18=85']
Exploring Operation: 85-48=37, Resulting Numbers: [37]
37,47 unequal: No Solution
Exploring Operation: 48*85=4080, Resulting Numbers: [4080]
4080,47 unequal: No Solution
Exploring Operation: 48+85=133, Resulting Numbers: [133]
133,47 unequal: No Solution
No 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: 47:[67, 66], Operations: ['6+12=18', '48+18=66']
Exploring Operation: 67*66=4422, Resulting Numbers: [4422]
4422,47 unequal: No Solution
Exploring Operation: 67+66=133, Resulting Numbers: [133]
133,47 unequal: No Solution
Exploring Operation: 67-66=1, Resulting Numbers: [1]
1,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
62,
30,
18,
84
] | 40 | [
"62*18=1116",
"84+1116=1200",
"1200/30=40"
] | Current State: 40:[62, 30, 18, 84], Operations: []
Exploring Operation: 62*18=1116, Resulting Numbers: [30, 84, 1116]
Generated Node #2: [30, 84, 1116] from Operation: 62*18=1116
Current State: 40:[30, 84, 1116], Operations: ['62*18=1116']
Exploring Operation: 84+1116=1200, Resulting Numbers: [30, 1200]
Generated Node #3: [30, 1200] from Operation: 84+1116=1200
Current State: 40:[30, 1200], Operations: ['62*18=1116', '84+1116=1200']
Exploring Operation: 1200/30=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[62, 30, 18, 84], Operations: []
Exploring Operation: 84-62=22, Resulting Numbers: [30, 18, 22]
Generated Node #0,0: 40:[30, 18, 22] Operation: 84-62=22
Moving to Node #0,0
Current State: 40:[30, 18, 22], Operations: ['84-62=22']
Exploring Operation: 30-22=8, Resulting Numbers: [18, 8]
Generated Node #0,0,0: 40:[18, 8] Operation: 30-22=8
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 40:[18, 8], Operations: ['84-62=22', '30-22=8']
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,40 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 |
[
48,
2,
33,
6
] | 82 | [
"48/6=8",
"33+8=41",
"2*41=82"
] | Current State: 82:[48, 2, 33, 6], Operations: []
Exploring Operation: 48/6=8, Resulting Numbers: [2, 33, 8]
Generated Node #2: [2, 33, 8] from Operation: 48/6=8
Current State: 82:[2, 33, 8], Operations: ['48/6=8']
Exploring Operation: 33+8=41, Resulting Numbers: [2, 41]
Generated Node #3: [2, 41] from Operation: 33+8=41
Current State: 82:[2, 41], Operations: ['48/6=8', '33+8=41']
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[48, 2, 33, 6], Operations: []
Exploring Operation: 48-6=42, Resulting Numbers: [2, 33, 42]
Generated Node #0,0: 82:[2, 33, 42] Operation: 48-6=42
Exploring Operation: 48+33=81, Resulting Numbers: [2, 6, 81]
Generated Node #0,1: 82:[2, 6, 81] Operation: 48+33=81
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[2, 6, 81], Operations: ['48+33=81']
Exploring Operation: 6-2=4, Resulting Numbers: [81, 4]
Generated Node #0,1,0: 82:[81, 4] Operation: 6-2=4
Exploring Operation: 6/2=3, Resulting Numbers: [81, 3]
Generated Node #0,1,1: 82:[81, 3] Operation: 6/2=3
Moving to Node #0,1,1
Current State: 82:[81, 3], Operations: ['48+33=81', '6/2=3']
Exploring Operation: 81-3=78, Resulting Numbers: [78]
78,82 unequal: No Solution
Exploring Operation: 81+3=84, Resulting Numbers: [84]
84,82 unequal: No Solution
Moving to Node #0,1,0
Current State: 82:[81, 4], Operations: ['48+33=81', '6-2=4']
Exploring Operation: 81+4=85, Resulting Numbers: [85]
85,82 unequal: No Solution
Exploring Operation: 81-4=77, Resulting Numbers: [77]
77,82 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 #0,0
Current State: 82:[2, 33, 42], Operations: ['48-6=42']
Exploring Operation: 2+33=35, Resulting Numbers: [42, 35]
Generated Node #0,0,0: 82:[42, 35] Operation: 2+33=35
Exploring Operation: 33+42=75, Resulting Numbers: [2, 75]
Generated Node #0,0,1: 82:[2, 75] Operation: 33+42=75
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 82:[42, 35], Operations: ['48-6=42', '2+33=35']
Exploring Operation: 42+35=77, Resulting Numbers: [77]
77,82 unequal: No Solution
Exploring Operation: 42-35=7, Resulting Numbers: [7]
7,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 82:[2, 75], Operations: ['48-6=42', '33+42=75']
Exploring Operation: 2+75=77, Resulting Numbers: [77]
77,82 unequal: No Solution
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
99,
26,
51,
30
] | 94 | [
"99-26=73",
"51-30=21",
"73+21=94"
] | Current State: 94:[99, 26, 51, 30], Operations: []
Exploring Operation: 99-26=73, Resulting Numbers: [51, 30, 73]
Generated Node #2: [51, 30, 73] from Operation: 99-26=73
Current State: 94:[51, 30, 73], Operations: ['99-26=73']
Exploring Operation: 51-30=21, Resulting Numbers: [73, 21]
Generated Node #3: [73, 21] from Operation: 51-30=21
Current State: 94:[73, 21], Operations: ['99-26=73', '51-30=21']
Exploring Operation: 73+21=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[99, 26, 51, 30], Operations: []
Exploring Operation: 30-26=4, Resulting Numbers: [99, 51, 4]
Generated Node #0,0: 94:[99, 51, 4] Operation: 30-26=4
Moving to Node #0,0
Current State: 94:[99, 51, 4], Operations: ['30-26=4']
Exploring Operation: 99-51=48, Resulting Numbers: [4, 48]
Generated Node #0,0,0: 94:[4, 48] Operation: 99-51=48
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 94:[4, 48], Operations: ['30-26=4', '99-51=48']
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,94 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 |
[
39,
33,
80,
13
] | 87 | [
"39-33=6",
"80+13=93",
"93-6=87"
] | Current State: 87:[39, 33, 80, 13], Operations: []
Exploring Operation: 39-33=6, Resulting Numbers: [80, 13, 6]
Generated Node #2: [80, 13, 6] from Operation: 39-33=6
Current State: 87:[80, 13, 6], Operations: ['39-33=6']
Exploring Operation: 80+13=93, Resulting Numbers: [6, 93]
Generated Node #3: [6, 93] from Operation: 80+13=93
Current State: 87:[6, 93], Operations: ['39-33=6', '80+13=93']
Exploring Operation: 93-6=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[39, 33, 80, 13], Operations: []
Exploring Operation: 80-39=41, Resulting Numbers: [33, 13, 41]
Generated Node #0,0: 87:[33, 13, 41] Operation: 80-39=41
Exploring Operation: 80+13=93, Resulting Numbers: [39, 33, 93]
Generated Node #0,1: 87:[39, 33, 93] Operation: 80+13=93
Exploring Operation: 39-13=26, Resulting Numbers: [33, 80, 26]
Generated Node #0,2: 87:[33, 80, 26] Operation: 39-13=26
Exploring Operation: 39/13=3, Resulting Numbers: [33, 80, 3]
Generated Node #0,3: 87:[33, 80, 3] Operation: 39/13=3
Exploring Operation: 39-33=6, Resulting Numbers: [80, 13, 6]
Generated Node #0,4: 87:[80, 13, 6] Operation: 39-33=6
Moving to Node #0,3
Current State: 87:[33, 80, 3], Operations: ['39/13=3']
Exploring Operation: 80-3=77, Resulting Numbers: [33, 77]
Generated Node #0,3,0: 87:[33, 77] Operation: 80-3=77
Exploring Operation: 33-3=30, Resulting Numbers: [80, 30]
Generated Node #0,3,1: 87:[80, 30] Operation: 33-3=30
Exploring Operation: 33/3=11, Resulting Numbers: [80, 11]
Generated Node #0,3,2: 87:[80, 11] Operation: 33/3=11
Exploring Operation: 80+3=83, Resulting Numbers: [33, 83]
Generated Node #0,3,3: 87:[33, 83] Operation: 80+3=83
Exploring Operation: 33+3=36, Resulting Numbers: [80, 36]
Generated Node #0,3,4: 87:[80, 36] Operation: 33+3=36
Moving to Node #0,2
Current State: 87:[33, 80, 26], Operations: ['39-13=26']
Exploring Operation: 33-26=7, Resulting Numbers: [80, 7]
Generated Node #0,2,0: 87:[80, 7] Operation: 33-26=7
Exploring Operation: 80-33=47, Resulting Numbers: [26, 47]
Generated Node #0,2,1: 87:[26, 47] Operation: 80-33=47
Exploring Operation: 80-26=54, Resulting Numbers: [33, 54]
Generated Node #0,2,2: 87:[33, 54] Operation: 80-26=54
Exploring Operation: 80+26=106, Resulting Numbers: [33, 106]
Generated Node #0,2,3: 87:[33, 106] Operation: 80+26=106
Exploring Operation: 33+80=113, Resulting Numbers: [26, 113]
Generated Node #0,2,4: 87:[26, 113] Operation: 33+80=113
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 87:[80, 7], Operations: ['39-13=26', '33-26=7']
Exploring Operation: 80*7=560, Resulting Numbers: [560]
560,87 unequal: No Solution
Exploring Operation: 80-7=73, Resulting Numbers: [73]
73,87 unequal: No Solution
Exploring Operation: 80+7=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[39, 33, 80, 13], Operations: []
Exploring Operation: 39-13=26, Resulting Numbers: [33, 80, 26]
Generated Node #0,2: 87:[33, 80, 26] Operation: 39-13=26
Moving to Node #0,2
Current State: 87:[33, 80, 26], Operations: ['39-13=26']
Exploring Operation: 33-26=7, Resulting Numbers: [80, 7]
Generated Node #0,2,0: 87:[80, 7] Operation: 33-26=7
Moving to Node #0,2,0
Current State: 87:[80, 7], Operations: ['39-13=26', '33-26=7']
Exploring Operation: 80+7=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | sum_heuristic |
[
87,
73,
17,
32
] | 80 | [
"87+32=119",
"119/17=7",
"73+7=80"
] | Current State: 80:[87, 73, 17, 32], Operations: []
Exploring Operation: 87+32=119, Resulting Numbers: [73, 17, 119]
Generated Node #2: [73, 17, 119] from Operation: 87+32=119
Current State: 80:[73, 17, 119], Operations: ['87+32=119']
Exploring Operation: 119/17=7, Resulting Numbers: [73, 7]
Generated Node #3: [73, 7] from Operation: 119/17=7
Current State: 80:[73, 7], Operations: ['87+32=119', '119/17=7']
Exploring Operation: 73+7=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[87, 73, 17, 32], Operations: []
Exploring Operation: 73-32=41, Resulting Numbers: [87, 17, 41]
Generated Node #0,0: 80:[87, 17, 41] Operation: 73-32=41
Exploring Operation: 87-73=14, Resulting Numbers: [17, 32, 14]
Generated Node #0,1: 80:[17, 32, 14] Operation: 87-73=14
Moving to Node #0,0
Current State: 80:[87, 17, 41], Operations: ['73-32=41']
Exploring Operation: 87-17=70, Resulting Numbers: [41, 70]
Generated Node #0,0,0: 80:[41, 70] Operation: 87-17=70
Exploring Operation: 87-41=46, Resulting Numbers: [17, 46]
Generated Node #0,0,1: 80:[17, 46] Operation: 87-41=46
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 80:[17, 46], Operations: ['73-32=41', '87-41=46']
Exploring Operation: 17+46=63, Resulting Numbers: [63]
63,80 unequal: No Solution
Exploring Operation: 46-17=29, Resulting Numbers: [29]
29,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 80:[41, 70], Operations: ['73-32=41', '87-17=70']
Exploring Operation: 41+70=111, Resulting Numbers: [111]
111,80 unequal: No Solution
Exploring Operation: 70-41=29, Resulting Numbers: [29]
29,80 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: 80:[17, 32, 14], Operations: ['87-73=14']
Exploring Operation: 32-14=18, Resulting Numbers: [17, 18]
Generated Node #0,1,0: 80:[17, 18] Operation: 32-14=18
Exploring Operation: 32-17=15, Resulting Numbers: [14, 15]
Generated Node #0,1,1: 80:[14, 15] Operation: 32-17=15
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 80:[17, 18], Operations: ['87-73=14', '32-14=18']
Exploring Operation: 17+18=35, Resulting Numbers: [35]
35,80 unequal: No Solution
Exploring Operation: 18-17=1, Resulting Numbers: [1]
1,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 80:[14, 15], Operations: ['87-73=14', '32-17=15']
Exploring Operation: 14+15=29, Resulting Numbers: [29]
29,80 unequal: No Solution
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,80 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 |
[
26,
25,
86,
3
] | 33 | [
"26*3=78",
"25+86=111",
"111-78=33"
] | Current State: 33:[26, 25, 86, 3], Operations: []
Exploring Operation: 26*3=78, Resulting Numbers: [25, 86, 78]
Generated Node #2: [25, 86, 78] from Operation: 26*3=78
Current State: 33:[25, 86, 78], Operations: ['26*3=78']
Exploring Operation: 25+86=111, Resulting Numbers: [78, 111]
Generated Node #3: [78, 111] from Operation: 25+86=111
Current State: 33:[78, 111], Operations: ['26*3=78', '25+86=111']
Exploring Operation: 111-78=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[26, 25, 86, 3], Operations: []
Exploring Operation: 26-25=1, Resulting Numbers: [86, 3, 1]
Generated Node #0,0: 33:[86, 3, 1] Operation: 26-25=1
Exploring Operation: 86-26=60, Resulting Numbers: [25, 3, 60]
Generated Node #0,1: 33:[25, 3, 60] Operation: 86-26=60
Exploring Operation: 86-25=61, Resulting Numbers: [26, 3, 61]
Generated Node #0,2: 33:[26, 3, 61] Operation: 86-25=61
Start Sub Search at level 1: Moving to Node #0,1
Current State: 33:[25, 3, 60], Operations: ['86-26=60']
Exploring Operation: 60-25=35, Resulting Numbers: [3, 35]
Generated Node #0,1,0: 33:[3, 35] Operation: 60-25=35
Exploring Operation: 25+3=28, Resulting Numbers: [60, 28]
Generated Node #0,1,1: 33:[60, 28] Operation: 25+3=28
Exploring Operation: 60/3=20, Resulting Numbers: [25, 20]
Generated Node #0,1,2: 33:[25, 20] Operation: 60/3=20
Moving to Node #0,1,0
Current State: 33:[3, 35], Operations: ['86-26=60', '60-25=35']
Exploring Operation: 3+35=38, Resulting Numbers: [38]
38,33 unequal: No Solution
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,33 unequal: No Solution
Exploring Operation: 3*35=105, Resulting Numbers: [105]
105,33 unequal: No Solution
Moving to Node #0,1,2
Current State: 33:[25, 20], Operations: ['86-26=60', '60/3=20']
Exploring Operation: 25+20=45, Resulting Numbers: [45]
45,33 unequal: No Solution
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,33 unequal: No Solution
Exploring Operation: 25*20=500, Resulting Numbers: [500]
500,33 unequal: No Solution
Moving to Node #0,1,1
Current State: 33:[60, 28], Operations: ['86-26=60', '25+3=28']
Exploring Operation: 60-28=32, Resulting Numbers: [32]
32,33 unequal: No Solution
Exploring Operation: 60*28=1680, Resulting Numbers: [1680]
1680,33 unequal: No Solution
Exploring Operation: 60+28=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 #0,2
Current State: 33:[26, 3, 61], Operations: ['86-25=61']
Exploring Operation: 61-26=35, Resulting Numbers: [3, 35]
Generated Node #0,2,0: 33:[3, 35] Operation: 61-26=35
Exploring Operation: 61-3=58, Resulting Numbers: [26, 58]
Generated Node #0,2,1: 33:[26, 58] Operation: 61-3=58
Exploring Operation: 26+3=29, Resulting Numbers: [61, 29]
Generated Node #0,2,2: 33:[61, 29] Operation: 26+3=29
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 33:[3, 35], Operations: ['86-25=61', '61-26=35']
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,33 unequal: No Solution
Exploring Operation: 3+35=38, Resulting Numbers: [38]
38,33 unequal: No Solution
Exploring Operation: 3*35=105, Resulting Numbers: [105]
105,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 33:[26, 58], Operations: ['86-25=61', '61-3=58']
Exploring Operation: 58-26=32, Resulting Numbers: [32]
32,33 unequal: No Solution
Exploring Operation: 26+58=84, Resulting Numbers: [84]
84,33 unequal: No Solution
Exploring Operation: 26*58=1508, Resulting Numbers: [1508]
1508,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 33:[61, 29], Operations: ['86-25=61', '26+3=29']
Exploring Operation: 61-29=32, Resulting Numbers: [32]
32,33 unequal: No Solution
Exploring Operation: 61+29=90, Resulting Numbers: [90]
90,33 unequal: No Solution
Exploring Operation: 61*29=1769, Resulting Numbers: [1769]
1769,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[86, 3, 1], Operations: ['26-25=1']
Exploring Operation: 86*1=86, Resulting Numbers: [3, 86]
Generated Node #0,0,0: 33:[3, 86] Operation: 86*1=86
Exploring Operation: 86-3=83, Resulting Numbers: [1, 83]
Generated Node #0,0,1: 33:[1, 83] Operation: 86-3=83
Exploring Operation: 86-1=85, Resulting Numbers: [3, 85]
Generated Node #0,0,2: 33:[3, 85] Operation: 86-1=85
Moving to Node #0,0,1
Current State: 33:[1, 83], Operations: ['26-25=1', '86-3=83']
Exploring Operation: 83-1=82, Resulting Numbers: [82]
82,33 unequal: No Solution
Exploring Operation: 83/1=83, Resulting Numbers: [83]
83,33 unequal: No Solution
Exploring Operation: 1*83=83, Resulting Numbers: [83]
83,33 unequal: No Solution
Moving to Node #0,0,2
Current State: 33:[3, 85], Operations: ['26-25=1', '86-1=85']
Exploring Operation: 3+85=88, Resulting Numbers: [88]
88,33 unequal: No Solution
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,33 unequal: No Solution
Exploring Operation: 3*85=255, Resulting Numbers: [255]
255,33 unequal: No Solution
Moving to Node #0,0,0
Current State: 33:[3, 86], Operations: ['26-25=1', '86*1=86']
Exploring Operation: 3+86=89, Resulting Numbers: [89]
89,33 unequal: No Solution
Exploring Operation: 3*86=258, Resulting Numbers: [258]
258,33 unequal: No Solution
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,33 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 |
[
56,
34,
19,
88
] | 47 | [
"56-34=22",
"88-19=69",
"69-22=47"
] | Current State: 47:[56, 34, 19, 88], Operations: []
Exploring Operation: 56-34=22, Resulting Numbers: [19, 88, 22]
Generated Node #2: [19, 88, 22] from Operation: 56-34=22
Current State: 47:[19, 88, 22], Operations: ['56-34=22']
Exploring Operation: 88-19=69, Resulting Numbers: [22, 69]
Generated Node #3: [22, 69] from Operation: 88-19=69
Current State: 47:[22, 69], Operations: ['56-34=22', '88-19=69']
Exploring Operation: 69-22=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[56, 34, 19, 88], Operations: []
Exploring Operation: 88-34=54, Resulting Numbers: [56, 19, 54]
Generated Node #0,0: 47:[56, 19, 54] Operation: 88-34=54
Exploring Operation: 88-19=69, Resulting Numbers: [56, 34, 69]
Generated Node #0,1: 47:[56, 34, 69] Operation: 88-19=69
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[56, 19, 54], Operations: ['88-34=54']
Exploring Operation: 54-19=35, Resulting Numbers: [56, 35]
Generated Node #0,0,0: 47:[56, 35] Operation: 54-19=35
Exploring Operation: 56-19=37, Resulting Numbers: [54, 37]
Generated Node #0,0,1: 47:[54, 37] Operation: 56-19=37
Moving to Node #0,0,1
Current State: 47:[54, 37], Operations: ['88-34=54', '56-19=37']
Exploring Operation: 54+37=91, Resulting Numbers: [91]
91,47 unequal: No Solution
Exploring Operation: 54-37=17, Resulting Numbers: [17]
17,47 unequal: No Solution
Moving to Node #0,0,0
Current State: 47:[56, 35], Operations: ['88-34=54', '54-19=35']
Exploring Operation: 56-35=21, Resulting Numbers: [21]
21,47 unequal: No Solution
Exploring Operation: 56+35=91, Resulting Numbers: [91]
91,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[56, 34, 69], Operations: ['88-19=69']
Exploring Operation: 69-34=35, Resulting Numbers: [56, 35]
Generated Node #0,1,0: 47:[56, 35] Operation: 69-34=35
Exploring Operation: 56-34=22, Resulting Numbers: [69, 22]
Generated Node #0,1,1: 47:[69, 22] Operation: 56-34=22
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 47:[56, 35], Operations: ['88-19=69', '69-34=35']
Exploring Operation: 56-35=21, Resulting Numbers: [21]
21,47 unequal: No Solution
Exploring Operation: 56+35=91, Resulting Numbers: [91]
91,47 unequal: No Solution
No 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: 47:[69, 22], Operations: ['88-19=69', '56-34=22']
Exploring Operation: 69+22=91, Resulting Numbers: [91]
91,47 unequal: No Solution
Exploring Operation: 69-22=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[56, 34, 19, 88], Operations: []
Exploring Operation: 88-19=69, Resulting Numbers: [56, 34, 69]
Generated Node #0,1: 47:[56, 34, 69] Operation: 88-19=69
Moving to Node #0,1
Current State: 47:[56, 34, 69], Operations: ['88-19=69']
Exploring Operation: 56-34=22, Resulting Numbers: [69, 22]
Generated Node #0,1,1: 47:[69, 22] Operation: 56-34=22
Moving to Node #0,1,1
Current State: 47:[69, 22], Operations: ['88-19=69', '56-34=22']
Exploring Operation: 69-22=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_2 | mult_heuristic |
[
48,
52,
28,
64
] | 48 | [
"52-48=4",
"28*4=112",
"112-64=48"
] | Current State: 48:[48, 52, 28, 64], Operations: []
Exploring Operation: 52-48=4, Resulting Numbers: [28, 64, 4]
Generated Node #2: [28, 64, 4] from Operation: 52-48=4
Current State: 48:[28, 64, 4], Operations: ['52-48=4']
Exploring Operation: 28*4=112, Resulting Numbers: [64, 112]
Generated Node #3: [64, 112] from Operation: 28*4=112
Current State: 48:[64, 112], Operations: ['52-48=4', '28*4=112']
Exploring Operation: 112-64=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[48, 52, 28, 64], Operations: []
Exploring Operation: 52-28=24, Resulting Numbers: [48, 64, 24]
Generated Node #0,0: 48:[48, 64, 24] Operation: 52-28=24
Exploring Operation: 64-28=36, Resulting Numbers: [48, 52, 36]
Generated Node #0,1: 48:[48, 52, 36] Operation: 64-28=36
Exploring Operation: 64-48=16, Resulting Numbers: [52, 28, 16]
Generated Node #0,2: 48:[52, 28, 16] Operation: 64-48=16
Exploring Operation: 64-52=12, Resulting Numbers: [48, 28, 12]
Generated Node #0,3: 48:[48, 28, 12] Operation: 64-52=12
Moving to Node #0,3
Current State: 48:[48, 28, 12], Operations: ['64-52=12']
Exploring Operation: 48/12=4, Resulting Numbers: [28, 4]
Generated Node #0,3,0: 48:[28, 4] Operation: 48/12=4
Exploring Operation: 48-28=20, Resulting Numbers: [12, 20]
Generated Node #0,3,1: 48:[12, 20] Operation: 48-28=20
Exploring Operation: 28-12=16, Resulting Numbers: [48, 16]
Generated Node #0,3,2: 48:[48, 16] Operation: 28-12=16
Exploring Operation: 28+12=40, Resulting Numbers: [48, 40]
Generated Node #0,3,3: 48:[48, 40] Operation: 28+12=40
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 48:[48, 16], Operations: ['64-52=12', '28-12=16']
Exploring Operation: 48*16=768, Resulting Numbers: [768]
768,48 unequal: No Solution
Exploring Operation: 48-16=32, Resulting Numbers: [32]
32,48 unequal: No Solution
Exploring Operation: 48+16=64, Resulting Numbers: [64]
64,48 unequal: No Solution
Exploring Operation: 48/16=3, Resulting Numbers: [3]
3,48 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 #0,3,0
Current State: 48:[28, 4], Operations: ['64-52=12', '48/12=4']
Exploring Operation: 28+4=32, Resulting Numbers: [32]
32,48 unequal: No Solution
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,48 unequal: No Solution
Exploring Operation: 28*4=112, Resulting Numbers: [112]
112,48 unequal: No Solution
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,48 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 #0,3,1
Current State: 48:[12, 20], Operations: ['64-52=12', '48-28=20']
Exploring Operation: 12+20=32, Resulting Numbers: [32]
32,48 unequal: No Solution
Exploring Operation: 20-12=8, Resulting Numbers: [8]
8,48 unequal: No Solution
Exploring Operation: 12*20=240, Resulting Numbers: [240]
240,48 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 #0,3,3
Current State: 48:[48, 40], Operations: ['64-52=12', '28+12=40']
Exploring Operation: 48+40=88, Resulting Numbers: [88]
88,48 unequal: No Solution
Exploring Operation: 48-40=8, Resulting Numbers: [8]
8,48 unequal: No Solution
Exploring Operation: 48*40=1920, Resulting Numbers: [1920]
1920,48 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: 48:[52, 28, 16], Operations: ['64-48=16']
Exploring Operation: 52-28=24, Resulting Numbers: [16, 24]
Generated Node #0,2,0: 48:[16, 24] Operation: 52-28=24
Exploring Operation: 28+16=44, Resulting Numbers: [52, 44]
Generated Node #0,2,1: 48:[52, 44] Operation: 28+16=44
Exploring Operation: 52-16=36, Resulting Numbers: [28, 36]
Generated Node #0,2,2: 48:[28, 36] Operation: 52-16=36
Exploring Operation: 28-16=12, Resulting Numbers: [52, 12]
Generated Node #0,2,3: 48:[52, 12] Operation: 28-16=12
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 48:[16, 24], Operations: ['64-48=16', '52-28=24']
Exploring Operation: 16*24=384, Resulting Numbers: [384]
384,48 unequal: No Solution
Exploring Operation: 16+24=40, Resulting Numbers: [40]
40,48 unequal: No Solution
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,48 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 #0,2,3
Current State: 48:[52, 12], Operations: ['64-48=16', '28-16=12']
Exploring Operation: 52-12=40, Resulting Numbers: [40]
40,48 unequal: No Solution
Exploring Operation: 52+12=64, Resulting Numbers: [64]
64,48 unequal: No Solution
Exploring Operation: 52*12=624, Resulting Numbers: [624]
624,48 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 #0,2,1
Current State: 48:[52, 44], Operations: ['64-48=16', '28+16=44']
Exploring Operation: 52+44=96, Resulting Numbers: [96]
96,48 unequal: No Solution
Exploring Operation: 52-44=8, Resulting Numbers: [8]
8,48 unequal: No Solution
Exploring Operation: 52*44=2288, Resulting Numbers: [2288]
2288,48 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 #0,2,2
Current State: 48:[28, 36], Operations: ['64-48=16', '52-16=36']
Exploring Operation: 28+36=64, Resulting Numbers: [64]
64,48 unequal: No Solution
Exploring Operation: 28*36=1008, Resulting Numbers: [1008]
1008,48 unequal: No Solution
Exploring Operation: 36-28=8, Resulting Numbers: [8]
8,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 48:[48, 52, 36], Operations: ['64-28=36']
Exploring Operation: 48+36=84, Resulting Numbers: [52, 84]
Generated Node #0,1,0: 48:[52, 84] Operation: 48+36=84
Exploring Operation: 52-36=16, Resulting Numbers: [48, 16]
Generated Node #0,1,1: 48:[48, 16] Operation: 52-36=16
Exploring Operation: 48-36=12, Resulting Numbers: [52, 12]
Generated Node #0,1,2: 48:[52, 12] Operation: 48-36=12
Exploring Operation: 52-48=4, Resulting Numbers: [36, 4]
Generated Node #0,1,3: 48:[36, 4] Operation: 52-48=4
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 48:[48, 16], Operations: ['64-28=36', '52-36=16']
Exploring Operation: 48-16=32, Resulting Numbers: [32]
32,48 unequal: No Solution
Exploring Operation: 48/16=3, Resulting Numbers: [3]
3,48 unequal: No Solution
Exploring Operation: 48+16=64, Resulting Numbers: [64]
64,48 unequal: No Solution
Exploring Operation: 48*16=768, Resulting Numbers: [768]
768,48 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 #0,1,2
Current State: 48:[52, 12], Operations: ['64-28=36', '48-36=12']
Exploring Operation: 52+12=64, Resulting Numbers: [64]
64,48 unequal: No Solution
Exploring Operation: 52*12=624, Resulting Numbers: [624]
624,48 unequal: No Solution
Exploring Operation: 52-12=40, Resulting Numbers: [40]
40,48 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 #0,1,3
Current State: 48:[36, 4], Operations: ['64-28=36', '52-48=4']
Exploring Operation: 36*4=144, Resulting Numbers: [144]
144,48 unequal: No Solution
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,48 unequal: No Solution
Exploring Operation: 36+4=40, Resulting Numbers: [40]
40,48 unequal: No Solution
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,48 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 #0,1,0
Current State: 48:[52, 84], Operations: ['64-28=36', '48+36=84']
Exploring Operation: 52*84=4368, Resulting Numbers: [4368]
4368,48 unequal: No Solution
Exploring Operation: 84-52=32, Resulting Numbers: [32]
32,48 unequal: No Solution
Exploring Operation: 52+84=136, Resulting Numbers: [136]
136,48 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: 48:[48, 64, 24], Operations: ['52-28=24']
Exploring Operation: 64-48=16, Resulting Numbers: [24, 16]
Generated Node #0,0,0: 48:[24, 16] Operation: 64-48=16
Exploring Operation: 48-24=24, Resulting Numbers: [64, 24]
Generated Node #0,0,1: 48:[64, 24] Operation: 48-24=24
Exploring Operation: 64-24=40, Resulting Numbers: [48, 40]
Generated Node #0,0,2: 48:[48, 40] Operation: 64-24=40
Exploring Operation: 48/24=2, Resulting Numbers: [64, 2]
Generated Node #0,0,3: 48:[64, 2] Operation: 48/24=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 48:[24, 16], Operations: ['52-28=24', '64-48=16']
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,48 unequal: No Solution
Exploring Operation: 24+16=40, Resulting Numbers: [40]
40,48 unequal: No Solution
Exploring Operation: 24*16=384, Resulting Numbers: [384]
384,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 48:[48, 40], Operations: ['52-28=24', '64-24=40']
Exploring Operation: 48+40=88, Resulting Numbers: [88]
88,48 unequal: No Solution
Exploring Operation: 48-40=8, Resulting Numbers: [8]
8,48 unequal: No Solution
Exploring Operation: 48*40=1920, Resulting Numbers: [1920]
1920,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 48:[64, 24], Operations: ['52-28=24', '48-24=24']
Exploring Operation: 64*24=1536, Resulting Numbers: [1536]
1536,48 unequal: No Solution
Exploring Operation: 64-24=40, Resulting Numbers: [40]
40,48 unequal: No Solution
Exploring Operation: 64+24=88, Resulting Numbers: [88]
88,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 48:[64, 2], Operations: ['52-28=24', '48/24=2']
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,48 unequal: No Solution
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,48 unequal: No Solution
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,48 unequal: No Solution
Exploring Operation: 64*2=128, Resulting Numbers: [128]
128,48 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 |
[
40,
12,
74,
49
] | 95 | [
"40-12=28",
"74+49=123",
"123-28=95"
] | Current State: 95:[40, 12, 74, 49], Operations: []
Exploring Operation: 40-12=28, Resulting Numbers: [74, 49, 28]
Generated Node #2: [74, 49, 28] from Operation: 40-12=28
Current State: 95:[74, 49, 28], Operations: ['40-12=28']
Exploring Operation: 74+49=123, Resulting Numbers: [28, 123]
Generated Node #3: [28, 123] from Operation: 74+49=123
Current State: 95:[28, 123], Operations: ['40-12=28', '74+49=123']
Exploring Operation: 123-28=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[40, 12, 74, 49], Operations: []
Exploring Operation: 49-40=9, Resulting Numbers: [12, 74, 9]
Generated Node #0,0: 95:[12, 74, 9] Operation: 49-40=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[12, 74, 9], Operations: ['49-40=9']
Exploring Operation: 12+74=86, Resulting Numbers: [9, 86]
Generated Node #0,0,0: 95:[9, 86] Operation: 12+74=86
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 95:[9, 86], Operations: ['49-40=9', '12+74=86']
Exploring Operation: 9+86=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[40, 12, 74, 49], Operations: []
Exploring Operation: 49-40=9, Resulting Numbers: [12, 74, 9]
Generated Node #0,0: 95:[12, 74, 9] Operation: 49-40=9
Moving to Node #0,0
Current State: 95:[12, 74, 9], Operations: ['49-40=9']
Exploring Operation: 12+74=86, Resulting Numbers: [9, 86]
Generated Node #0,0,0: 95:[9, 86] Operation: 12+74=86
Moving to Node #0,0,0
Current State: 95:[9, 86], Operations: ['49-40=9', '12+74=86']
Exploring Operation: 9+86=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
28,
17,
82,
3
] | 49 | [
"28-17=11",
"3*11=33",
"82-33=49"
] | Current State: 49:[28, 17, 82, 3], Operations: []
Exploring Operation: 28-17=11, Resulting Numbers: [82, 3, 11]
Generated Node #2: [82, 3, 11] from Operation: 28-17=11
Current State: 49:[82, 3, 11], Operations: ['28-17=11']
Exploring Operation: 3*11=33, Resulting Numbers: [82, 33]
Generated Node #3: [82, 33] from Operation: 3*11=33
Current State: 49:[82, 33], Operations: ['28-17=11', '3*11=33']
Exploring Operation: 82-33=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[28, 17, 82, 3], Operations: []
Exploring Operation: 82-28=54, Resulting Numbers: [17, 3, 54]
Generated Node #0,0: 49:[17, 3, 54] Operation: 82-28=54
Exploring Operation: 28+17=45, Resulting Numbers: [82, 3, 45]
Generated Node #0,1: 49:[82, 3, 45] Operation: 28+17=45
Moving to Node #0,0
Current State: 49:[17, 3, 54], Operations: ['82-28=54']
Exploring Operation: 17-3=14, Resulting Numbers: [54, 14]
Generated Node #0,0,0: 49:[54, 14] Operation: 17-3=14
Exploring Operation: 17*3=51, Resulting Numbers: [54, 51]
Generated Node #0,0,1: 49:[54, 51] Operation: 17*3=51
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 49:[54, 51], Operations: ['82-28=54', '17*3=51']
Exploring Operation: 54-51=3, Resulting Numbers: [3]
3,49 unequal: No Solution
Exploring Operation: 54+51=105, Resulting Numbers: [105]
105,49 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:[54, 14], Operations: ['82-28=54', '17-3=14']
Exploring Operation: 54+14=68, Resulting Numbers: [68]
68,49 unequal: No Solution
Exploring Operation: 54-14=40, Resulting Numbers: [40]
40,49 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: 49:[82, 3, 45], Operations: ['28+17=45']
Exploring Operation: 82-3=79, Resulting Numbers: [45, 79]
Generated Node #0,1,0: 49:[45, 79] Operation: 82-3=79
Exploring Operation: 82-45=37, Resulting Numbers: [3, 37]
Generated Node #0,1,1: 49:[3, 37] Operation: 82-45=37
Moving to Node #0,1,1
Current State: 49:[3, 37], Operations: ['28+17=45', '82-45=37']
Exploring Operation: 3+37=40, Resulting Numbers: [40]
40,49 unequal: No Solution
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,49 unequal: No Solution
Moving to Node #0,1,0
Current State: 49:[45, 79], Operations: ['28+17=45', '82-3=79']
Exploring Operation: 45+79=124, Resulting Numbers: [124]
124,49 unequal: No Solution
Exploring Operation: 79-45=34, Resulting Numbers: [34]
34,49 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
8,
94,
64,
54
] | 96 | [
"94-8=86",
"64-54=10",
"86+10=96"
] | Current State: 96:[8, 94, 64, 54], Operations: []
Exploring Operation: 94-8=86, Resulting Numbers: [64, 54, 86]
Generated Node #2: [64, 54, 86] from Operation: 94-8=86
Current State: 96:[64, 54, 86], Operations: ['94-8=86']
Exploring Operation: 64-54=10, Resulting Numbers: [86, 10]
Generated Node #3: [86, 10] from Operation: 64-54=10
Current State: 96:[86, 10], Operations: ['94-8=86', '64-54=10']
Exploring Operation: 86+10=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[8, 94, 64, 54], Operations: []
Exploring Operation: 64/8=8, Resulting Numbers: [94, 54, 8]
Generated Node #0,0: 96:[94, 54, 8] Operation: 64/8=8
Exploring Operation: 64-54=10, Resulting Numbers: [8, 94, 10]
Generated Node #0,1: 96:[8, 94, 10] Operation: 64-54=10
Exploring Operation: 94-64=30, Resulting Numbers: [8, 54, 30]
Generated Node #0,2: 96:[8, 54, 30] Operation: 94-64=30
Exploring Operation: 64-8=56, Resulting Numbers: [94, 54, 56]
Generated Node #0,3: 96:[94, 54, 56] Operation: 64-8=56
Moving to Node #0,1
Current State: 96:[8, 94, 10], Operations: ['64-54=10']
Exploring Operation: 8+94=102, Resulting Numbers: [10, 102]
Generated Node #0,1,0: 96:[10, 102] Operation: 8+94=102
Exploring Operation: 8+10=18, Resulting Numbers: [94, 18]
Generated Node #0,1,1: 96:[94, 18] Operation: 8+10=18
Exploring Operation: 94+10=104, Resulting Numbers: [8, 104]
Generated Node #0,1,2: 96:[8, 104] Operation: 94+10=104
Exploring Operation: 10-8=2, Resulting Numbers: [94, 2]
Generated Node #0,1,3: 96:[94, 2] Operation: 10-8=2
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 96:[94, 2], Operations: ['64-54=10', '10-8=2']
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,96 unequal: No Solution
Exploring Operation: 94*2=188, Resulting Numbers: [188]
188,96 unequal: No Solution
Exploring Operation: 94+2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[8, 94, 64, 54], Operations: []
Exploring Operation: 64-54=10, Resulting Numbers: [8, 94, 10]
Generated Node #0,1: 96:[8, 94, 10] Operation: 64-54=10
Moving to Node #0,1
Current State: 96:[8, 94, 10], Operations: ['64-54=10']
Exploring Operation: 10-8=2, Resulting Numbers: [94, 2]
Generated Node #0,1,3: 96:[94, 2] Operation: 10-8=2
Moving to Node #0,1,3
Current State: 96:[94, 2], Operations: ['64-54=10', '10-8=2']
Exploring Operation: 94+2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
4,
8,
44,
48
] | 26 | [
"8/4=2",
"44/2=22",
"48-22=26"
] | Current State: 26:[4, 8, 44, 48], Operations: []
Exploring Operation: 8/4=2, Resulting Numbers: [44, 48, 2]
Generated Node #2: [44, 48, 2] from Operation: 8/4=2
Current State: 26:[44, 48, 2], Operations: ['8/4=2']
Exploring Operation: 44/2=22, Resulting Numbers: [48, 22]
Generated Node #3: [48, 22] from Operation: 44/2=22
Current State: 26:[48, 22], Operations: ['8/4=2', '44/2=22']
Exploring Operation: 48-22=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[4, 8, 44, 48], Operations: []
Exploring Operation: 48-44=4, Resulting Numbers: [4, 8, 4]
Generated Node #0,0: 26:[4, 8, 4] Operation: 48-44=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[4, 8, 4], Operations: ['48-44=4']
Exploring Operation: 8/4=2, Resulting Numbers: [4, 2]
Generated Node #0,0,0: 26:[4, 2] Operation: 8/4=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 26:[4, 2], Operations: ['48-44=4', '8/4=2']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
28,
67,
65,
43
] | 58 | [
"67-65=2",
"43*2=86",
"86-28=58"
] | Current State: 58:[28, 67, 65, 43], Operations: []
Exploring Operation: 67-65=2, Resulting Numbers: [28, 43, 2]
Generated Node #2: [28, 43, 2] from Operation: 67-65=2
Current State: 58:[28, 43, 2], Operations: ['67-65=2']
Exploring Operation: 43*2=86, Resulting Numbers: [28, 86]
Generated Node #3: [28, 86] from Operation: 43*2=86
Current State: 58:[28, 86], Operations: ['67-65=2', '43*2=86']
Exploring Operation: 86-28=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[28, 67, 65, 43], Operations: []
Exploring Operation: 67-43=24, Resulting Numbers: [28, 65, 24]
Generated Node #0,0: 58:[28, 65, 24] Operation: 67-43=24
Moving to Node #0,0
Current State: 58:[28, 65, 24], Operations: ['67-43=24']
Exploring Operation: 28-24=4, Resulting Numbers: [65, 4]
Generated Node #0,0,0: 58:[65, 4] Operation: 28-24=4
Moving to Node #0,0,0
Current State: 58:[65, 4], Operations: ['67-43=24', '28-24=4']
Exploring Operation: 65-4=61, Resulting Numbers: [61]
61,58 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
64,
45,
22,
83
] | 42 | [
"64-45=19",
"83-22=61",
"61-19=42"
] | Current State: 42:[64, 45, 22, 83], Operations: []
Exploring Operation: 64-45=19, Resulting Numbers: [22, 83, 19]
Generated Node #2: [22, 83, 19] from Operation: 64-45=19
Current State: 42:[22, 83, 19], Operations: ['64-45=19']
Exploring Operation: 83-22=61, Resulting Numbers: [19, 61]
Generated Node #3: [19, 61] from Operation: 83-22=61
Current State: 42:[19, 61], Operations: ['64-45=19', '83-22=61']
Exploring Operation: 61-19=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[64, 45, 22, 83], Operations: []
Exploring Operation: 83-45=38, Resulting Numbers: [64, 22, 38]
Generated Node #0,0: 42:[64, 22, 38] Operation: 83-45=38
Exploring Operation: 83-64=19, Resulting Numbers: [45, 22, 19]
Generated Node #0,1: 42:[45, 22, 19] Operation: 83-64=19
Moving to Node #0,1
Current State: 42:[45, 22, 19], Operations: ['83-64=19']
Exploring Operation: 22-19=3, Resulting Numbers: [45, 3]
Generated Node #0,1,0: 42:[45, 3] Operation: 22-19=3
Exploring Operation: 45-22=23, Resulting Numbers: [19, 23]
Generated Node #0,1,1: 42:[19, 23] Operation: 45-22=23
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 42:[45, 3], Operations: ['83-64=19', '22-19=3']
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,42 unequal: No Solution
Exploring Operation: 45-3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[64, 45, 22, 83], Operations: []
Exploring Operation: 83-64=19, Resulting Numbers: [45, 22, 19]
Generated Node #0,1: 42:[45, 22, 19] Operation: 83-64=19
Moving to Node #0,1
Current State: 42:[45, 22, 19], Operations: ['83-64=19']
Exploring Operation: 22-19=3, Resulting Numbers: [45, 3]
Generated Node #0,1,0: 42:[45, 3] Operation: 22-19=3
Moving to Node #0,1,0
Current State: 42:[45, 3], Operations: ['83-64=19', '22-19=3']
Exploring Operation: 45-3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
21,
25,
8,
51
] | 63 | [
"25-21=4",
"8+51=59",
"4+59=63"
] | Current State: 63:[21, 25, 8, 51], Operations: []
Exploring Operation: 25-21=4, Resulting Numbers: [8, 51, 4]
Generated Node #2: [8, 51, 4] from Operation: 25-21=4
Current State: 63:[8, 51, 4], Operations: ['25-21=4']
Exploring Operation: 8+51=59, Resulting Numbers: [4, 59]
Generated Node #3: [4, 59] from Operation: 8+51=59
Current State: 63:[4, 59], Operations: ['25-21=4', '8+51=59']
Exploring Operation: 4+59=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[21, 25, 8, 51], Operations: []
Exploring Operation: 25-21=4, Resulting Numbers: [8, 51, 4]
Generated Node #0,0: 63:[8, 51, 4] Operation: 25-21=4
Exploring Operation: 51-25=26, Resulting Numbers: [21, 8, 26]
Generated Node #0,1: 63:[21, 8, 26] Operation: 51-25=26
Exploring Operation: 8+51=59, Resulting Numbers: [21, 25, 59]
Generated Node #0,2: 63:[21, 25, 59] Operation: 8+51=59
Moving to Node #0,1
Current State: 63:[21, 8, 26], Operations: ['51-25=26']
Exploring Operation: 26-8=18, Resulting Numbers: [21, 18]
Generated Node #0,1,0: 63:[21, 18] Operation: 26-8=18
Exploring Operation: 21-8=13, Resulting Numbers: [26, 13]
Generated Node #0,1,1: 63:[26, 13] Operation: 21-8=13
Exploring Operation: 26-21=5, Resulting Numbers: [8, 5]
Generated Node #0,1,2: 63:[8, 5] Operation: 26-21=5
Moving to Node #0,2
Current State: 63:[21, 25, 59], Operations: ['8+51=59']
Exploring Operation: 21+25=46, Resulting Numbers: [59, 46]
Generated Node #0,2,0: 63:[59, 46] Operation: 21+25=46
Exploring Operation: 25-21=4, Resulting Numbers: [59, 4]
Generated Node #0,2,1: 63:[59, 4] Operation: 25-21=4
Exploring Operation: 59-25=34, Resulting Numbers: [21, 34]
Generated Node #0,2,2: 63:[21, 34] Operation: 59-25=34
Moving to Node #0,0
Current State: 63:[8, 51, 4], Operations: ['25-21=4']
Exploring Operation: 8-4=4, Resulting Numbers: [51, 4]
Generated Node #0,0,0: 63:[51, 4] Operation: 8-4=4
Exploring Operation: 8+51=59, Resulting Numbers: [4, 59]
Generated Node #0,0,1: 63:[4, 59] Operation: 8+51=59
Exploring Operation: 51+4=55, Resulting Numbers: [8, 55]
Generated Node #0,0,2: 63:[8, 55] Operation: 51+4=55
Moving to Node #0,1,0
Current State: 63:[21, 18], Operations: ['51-25=26', '26-8=18']
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Exploring Operation: 21+18=39, Resulting Numbers: [39]
39,63 unequal: No Solution
Exploring Operation: 21*18=378, Resulting Numbers: [378]
378,63 unequal: No Solution
Moving to Node #0,1,2
Current State: 63:[8, 5], Operations: ['51-25=26', '26-21=5']
Exploring Operation: 8+5=13, Resulting Numbers: [13]
13,63 unequal: No Solution
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,63 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Moving to Node #0,0,1
Current State: 63:[4, 59], Operations: ['25-21=4', '8+51=59']
Exploring Operation: 4*59=236, Resulting Numbers: [236]
236,63 unequal: No Solution
Exploring Operation: 4+59=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[21, 25, 8, 51], Operations: []
Exploring Operation: 25-21=4, Resulting Numbers: [8, 51, 4]
Generated Node #0,0: 63:[8, 51, 4] Operation: 25-21=4
Moving to Node #0,0
Current State: 63:[8, 51, 4], Operations: ['25-21=4']
Exploring Operation: 8+51=59, Resulting Numbers: [4, 59]
Generated Node #0,0,1: 63:[4, 59] Operation: 8+51=59
Moving to Node #0,0,1
Current State: 63:[4, 59], Operations: ['25-21=4', '8+51=59']
Exploring Operation: 4+59=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 0.979167 | hs_3 | mult_heuristic |
[
47,
9,
93,
20
] | 75 | [
"47-9=38",
"93+20=113",
"113-38=75"
] | Current State: 75:[47, 9, 93, 20], Operations: []
Exploring Operation: 47-9=38, Resulting Numbers: [93, 20, 38]
Generated Node #2: [93, 20, 38] from Operation: 47-9=38
Current State: 75:[93, 20, 38], Operations: ['47-9=38']
Exploring Operation: 93+20=113, Resulting Numbers: [38, 113]
Generated Node #3: [38, 113] from Operation: 93+20=113
Current State: 75:[38, 113], Operations: ['47-9=38', '93+20=113']
Exploring Operation: 113-38=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[47, 9, 93, 20], Operations: []
Exploring Operation: 93-20=73, Resulting Numbers: [47, 9, 73]
Generated Node #0,0: 75:[47, 9, 73] Operation: 93-20=73
Exploring Operation: 47-20=27, Resulting Numbers: [9, 93, 27]
Generated Node #0,1: 75:[9, 93, 27] Operation: 47-20=27
Moving to Node #0,1
Current State: 75:[9, 93, 27], Operations: ['47-20=27']
Exploring Operation: 93-27=66, Resulting Numbers: [9, 66]
Generated Node #0,1,0: 75:[9, 66] Operation: 93-27=66
Exploring Operation: 93-9=84, Resulting Numbers: [27, 84]
Generated Node #0,1,1: 75:[27, 84] Operation: 93-9=84
Moving to Node #0,0
Current State: 75:[47, 9, 73], Operations: ['93-20=73']
Exploring Operation: 47-9=38, Resulting Numbers: [73, 38]
Generated Node #0,0,0: 75:[73, 38] Operation: 47-9=38
Exploring Operation: 73-47=26, Resulting Numbers: [9, 26]
Generated Node #0,0,1: 75:[9, 26] Operation: 73-47=26
Moving to Node #0,0,1
Current State: 75:[9, 26], Operations: ['93-20=73', '73-47=26']
Exploring Operation: 9+26=35, Resulting Numbers: [35]
35,75 unequal: No Solution
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,75 unequal: No Solution
Moving to Node #0,1,1
Current State: 75:[27, 84], Operations: ['47-20=27', '93-9=84']
Exploring Operation: 27+84=111, Resulting Numbers: [111]
111,75 unequal: No Solution
Exploring Operation: 84-27=57, Resulting Numbers: [57]
57,75 unequal: No Solution
Moving to Node #0,1,0
Current State: 75:[9, 66], Operations: ['47-20=27', '93-27=66']
Exploring Operation: 9+66=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[47, 9, 93, 20], Operations: []
Exploring Operation: 47-20=27, Resulting Numbers: [9, 93, 27]
Generated Node #0,1: 75:[9, 93, 27] Operation: 47-20=27
Moving to Node #0,1
Current State: 75:[9, 93, 27], Operations: ['47-20=27']
Exploring Operation: 93-27=66, Resulting Numbers: [9, 66]
Generated Node #0,1,0: 75:[9, 66] Operation: 93-27=66
Moving to Node #0,1,0
Current State: 75:[9, 66], Operations: ['47-20=27', '93-27=66']
Exploring Operation: 9+66=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 0.986979 | hs_2 | mult_heuristic |
[
17,
4,
33,
32
] | 28 | [
"33-17=16",
"16/4=4",
"32-4=28"
] | Current State: 28:[17, 4, 33, 32], Operations: []
Exploring Operation: 33-17=16, Resulting Numbers: [4, 32, 16]
Generated Node #2: [4, 32, 16] from Operation: 33-17=16
Current State: 28:[4, 32, 16], Operations: ['33-17=16']
Exploring Operation: 16/4=4, Resulting Numbers: [32, 4]
Generated Node #3: [32, 4] from Operation: 16/4=4
Current State: 28:[32, 4], Operations: ['33-17=16', '16/4=4']
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[17, 4, 33, 32], Operations: []
Exploring Operation: 33-32=1, Resulting Numbers: [17, 4, 1]
Generated Node #0,0: 28:[17, 4, 1] Operation: 33-32=1
Exploring Operation: 33-4=29, Resulting Numbers: [17, 32, 29]
Generated Node #0,1: 28:[17, 32, 29] Operation: 33-4=29
Exploring Operation: 32-4=28, Resulting Numbers: [17, 33, 28]
Generated Node #0,2: 28:[17, 33, 28] Operation: 32-4=28
Exploring Operation: 33-17=16, Resulting Numbers: [4, 32, 16]
Generated Node #0,3: 28:[4, 32, 16] Operation: 33-17=16
Exploring Operation: 32-17=15, Resulting Numbers: [4, 33, 15]
Generated Node #0,4: 28:[4, 33, 15] Operation: 32-17=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[17, 4, 1], Operations: ['33-32=1']
Exploring Operation: 17*1=17, Resulting Numbers: [4, 17]
Generated Node #0,0,0: 28:[4, 17] Operation: 17*1=17
Exploring Operation: 4*1=4, Resulting Numbers: [17, 4]
Generated Node #0,0,1: 28:[17, 4] Operation: 4*1=4
Exploring Operation: 17-1=16, Resulting Numbers: [4, 16]
Generated Node #0,0,2: 28:[4, 16] Operation: 17-1=16
Exploring Operation: 17/1=17, Resulting Numbers: [4, 17]
Generated Node #0,0,3: 28:[4, 17] Operation: 17/1=17
Exploring Operation: 17-4=13, Resulting Numbers: [1, 13]
Generated Node #0,0,4: 28:[1, 13] Operation: 17-4=13
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 28:[4, 16], Operations: ['33-32=1', '17-1=16']
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,28 unequal: No Solution
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,28 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,28 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 28:[1, 13], Operations: ['33-32=1', '17-4=13']
Exploring Operation: 1+13=14, Resulting Numbers: [14]
14,28 unequal: No Solution
Exploring Operation: 1*13=13, Resulting Numbers: [13]
13,28 unequal: No Solution
Exploring Operation: 13/1=13, Resulting Numbers: [13]
13,28 unequal: No Solution
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 28:[4, 17], Operations: ['33-32=1', '17*1=17']
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,28 unequal: No Solution
Exploring Operation: 4+17=21, Resulting Numbers: [21]
21,28 unequal: No Solution
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 28:[17, 4], Operations: ['33-32=1', '4*1=4']
Exploring Operation: 17*4=68, Resulting Numbers: [68]
68,28 unequal: No Solution
Exploring Operation: 17+4=21, Resulting Numbers: [21]
21,28 unequal: No Solution
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 28:[4, 17], Operations: ['33-32=1', '17/1=17']
Exploring Operation: 4+17=21, Resulting Numbers: [21]
21,28 unequal: No Solution
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,28 unequal: No Solution
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 28:[4, 32, 16], Operations: ['33-17=16']
Exploring Operation: 32-4=28, Resulting Numbers: [16, 28]
Generated Node #0,3,0: 28:[16, 28] Operation: 32-4=28
Exploring Operation: 32-16=16, Resulting Numbers: [4, 16]
Generated Node #0,3,1: 28:[4, 16] Operation: 32-16=16
Exploring Operation: 32/16=2, Resulting Numbers: [4, 2]
Generated Node #0,3,2: 28:[4, 2] Operation: 32/16=2
Exploring Operation: 16/4=4, Resulting Numbers: [32, 4]
Generated Node #0,3,3: 28:[32, 4] Operation: 16/4=4
Exploring Operation: 32/4=8, Resulting Numbers: [16, 8]
Generated Node #0,3,4: 28:[16, 8] Operation: 32/4=8
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 28:[4, 2], Operations: ['33-17=16', '32/16=2']
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,28 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,28 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 28:[16, 28], Operations: ['33-17=16', '32-4=28']
Exploring Operation: 28-16=12, Resulting Numbers: [12]
12,28 unequal: No Solution
Exploring Operation: 16*28=448, Resulting Numbers: [448]
448,28 unequal: No Solution
Exploring Operation: 16+28=44, Resulting Numbers: [44]
44,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 28:[4, 16], Operations: ['33-17=16', '32-16=16']
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,28 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,28 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,28 unequal: No Solution
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 28:[16, 8], Operations: ['33-17=16', '32/4=8']
Exploring Operation: 16+8=24, Resulting Numbers: [24]
24,28 unequal: No Solution
Exploring Operation: 16*8=128, Resulting Numbers: [128]
128,28 unequal: No Solution
Exploring Operation: 16-8=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Exploring Operation: 16/8=2, Resulting Numbers: [2]
2,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 28:[32, 4], Operations: ['33-17=16', '16/4=4']
Exploring Operation: 32*4=128, Resulting Numbers: [128]
128,28 unequal: No Solution
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Exploring Operation: 32+4=36, Resulting Numbers: [36]
36,28 unequal: No Solution
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[17, 4, 33, 32], Operations: []
Exploring Operation: 33-17=16, Resulting Numbers: [4, 32, 16]
Generated Node #0,3: 28:[4, 32, 16] Operation: 33-17=16
Moving to Node #0,3
Current State: 28:[4, 32, 16], Operations: ['33-17=16']
Exploring Operation: 16/4=4, Resulting Numbers: [32, 4]
Generated Node #0,3,3: 28:[32, 4] Operation: 16/4=4
Moving to Node #0,3,3
Current State: 28:[32, 4], Operations: ['33-17=16', '16/4=4']
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.952257 | hs_5 | mult_heuristic |
[
11,
99,
75,
88
] | 16 | [
"88/11=8",
"99-75=24",
"24-8=16"
] | Current State: 16:[11, 99, 75, 88], Operations: []
Exploring Operation: 88/11=8, Resulting Numbers: [99, 75, 8]
Generated Node #2: [99, 75, 8] from Operation: 88/11=8
Current State: 16:[99, 75, 8], Operations: ['88/11=8']
Exploring Operation: 99-75=24, Resulting Numbers: [8, 24]
Generated Node #3: [8, 24] from Operation: 99-75=24
Current State: 16:[8, 24], Operations: ['88/11=8', '99-75=24']
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[11, 99, 75, 88], Operations: []
Exploring Operation: 99-88=11, Resulting Numbers: [11, 75, 11]
Generated Node #0,0: 16:[11, 75, 11] Operation: 99-88=11
Exploring Operation: 99-75=24, Resulting Numbers: [11, 88, 24]
Generated Node #0,1: 16:[11, 88, 24] Operation: 99-75=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[11, 75, 11], Operations: ['99-88=11']
Exploring Operation: 75-11=64, Resulting Numbers: [11, 64]
Generated Node #0,0,0: 16:[11, 64] Operation: 75-11=64
Exploring Operation: 75-11=64, Resulting Numbers: [11, 64]
Generated Node #0,0,1: 16:[11, 64] Operation: 75-11=64
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 16:[11, 64], Operations: ['99-88=11', '75-11=64']
Exploring Operation: 11+64=75, Resulting Numbers: [75]
75,16 unequal: No Solution
Exploring Operation: 64-11=53, Resulting Numbers: [53]
53,16 unequal: No Solution
No 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: 16:[11, 64], Operations: ['99-88=11', '75-11=64']
Exploring Operation: 64-11=53, Resulting Numbers: [53]
53,16 unequal: No Solution
Exploring Operation: 11+64=75, Resulting Numbers: [75]
75,16 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: 16:[11, 88, 24], Operations: ['99-75=24']
Exploring Operation: 88-24=64, Resulting Numbers: [11, 64]
Generated Node #0,1,0: 16:[11, 64] Operation: 88-24=64
Exploring Operation: 88/11=8, Resulting Numbers: [24, 8]
Generated Node #0,1,1: 16:[24, 8] Operation: 88/11=8
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 16:[24, 8], Operations: ['99-75=24', '88/11=8']
Exploring Operation: 24/8=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[11, 99, 75, 88], Operations: []
Exploring Operation: 99-75=24, Resulting Numbers: [11, 88, 24]
Generated Node #0,1: 16:[11, 88, 24] Operation: 99-75=24
Moving to Node #0,1
Current State: 16:[11, 88, 24], Operations: ['99-75=24']
Exploring Operation: 88/11=8, Resulting Numbers: [24, 8]
Generated Node #0,1,1: 16:[24, 8] Operation: 88/11=8
Moving to Node #0,1,1
Current State: 16:[24, 8], Operations: ['99-75=24', '88/11=8']
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_2 | sum_heuristic |
[
78,
79,
29,
78
] | 79 | [
"78-78=0",
"29*0=0",
"79+0=79"
] | Current State: 79:[78, 79, 29, 78], Operations: []
Exploring Operation: 78-78=0, Resulting Numbers: [79, 29, 0]
Generated Node #2: [79, 29, 0] from Operation: 78-78=0
Current State: 79:[79, 29, 0], Operations: ['78-78=0']
Exploring Operation: 29*0=0, Resulting Numbers: [79, 0]
Generated Node #3: [79, 0] from Operation: 29*0=0
Current State: 79:[79, 0], Operations: ['78-78=0', '29*0=0']
Exploring Operation: 79+0=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[78, 79, 29, 78], Operations: []
Exploring Operation: 78+29=107, Resulting Numbers: [79, 78, 107]
Generated Node #0,0: 79:[79, 78, 107] Operation: 78+29=107
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[79, 78, 107], Operations: ['78+29=107']
Exploring Operation: 107-78=29, Resulting Numbers: [79, 29]
Generated Node #0,0,0: 79:[79, 29] Operation: 107-78=29
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 79:[79, 29], Operations: ['78+29=107', '107-78=29']
Exploring Operation: 79+29=108, Resulting Numbers: [108]
108,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
2,
13,
12,
18
] | 54 | [
"2+13=15",
"15-12=3",
"18*3=54"
] | Current State: 54:[2, 13, 12, 18], Operations: []
Exploring Operation: 2+13=15, Resulting Numbers: [12, 18, 15]
Generated Node #2: [12, 18, 15] from Operation: 2+13=15
Current State: 54:[12, 18, 15], Operations: ['2+13=15']
Exploring Operation: 15-12=3, Resulting Numbers: [18, 3]
Generated Node #3: [18, 3] from Operation: 15-12=3
Current State: 54:[18, 3], Operations: ['2+13=15', '15-12=3']
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[2, 13, 12, 18], Operations: []
Exploring Operation: 13-12=1, Resulting Numbers: [2, 18, 1]
Generated Node #0,0: 54:[2, 18, 1] Operation: 13-12=1
Exploring Operation: 13+12=25, Resulting Numbers: [2, 18, 25]
Generated Node #0,1: 54:[2, 18, 25] Operation: 13+12=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[2, 18, 1], Operations: ['13-12=1']
Exploring Operation: 2+1=3, Resulting Numbers: [18, 3]
Generated Node #0,0,0: 54:[18, 3] Operation: 2+1=3
Exploring Operation: 2*1=2, Resulting Numbers: [18, 2]
Generated Node #0,0,1: 54:[18, 2] Operation: 2*1=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 54:[18, 3], Operations: ['13-12=1', '2+1=3']
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,54 unequal: No Solution
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[2, 13, 12, 18], Operations: []
Exploring Operation: 13-12=1, Resulting Numbers: [2, 18, 1]
Generated Node #0,0: 54:[2, 18, 1] Operation: 13-12=1
Moving to Node #0,0
Current State: 54:[2, 18, 1], Operations: ['13-12=1']
Exploring Operation: 2+1=3, Resulting Numbers: [18, 3]
Generated Node #0,0,0: 54:[18, 3] Operation: 2+1=3
Moving to Node #0,0,0
Current State: 54:[18, 3], Operations: ['13-12=1', '2+1=3']
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
14,
29,
88,
97
] | 79 | [
"29+97=126",
"126/14=9",
"88-9=79"
] | Current State: 79:[14, 29, 88, 97], Operations: []
Exploring Operation: 29+97=126, Resulting Numbers: [14, 88, 126]
Generated Node #2: [14, 88, 126] from Operation: 29+97=126
Current State: 79:[14, 88, 126], Operations: ['29+97=126']
Exploring Operation: 126/14=9, Resulting Numbers: [88, 9]
Generated Node #3: [88, 9] from Operation: 126/14=9
Current State: 79:[88, 9], Operations: ['29+97=126', '126/14=9']
Exploring Operation: 88-9=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[14, 29, 88, 97], Operations: []
Exploring Operation: 88-14=74, Resulting Numbers: [29, 97, 74]
Generated Node #0,0: 79:[29, 97, 74] Operation: 88-14=74
Exploring Operation: 14+29=43, Resulting Numbers: [88, 97, 43]
Generated Node #0,1: 79:[88, 97, 43] Operation: 14+29=43
Exploring Operation: 97-29=68, Resulting Numbers: [14, 88, 68]
Generated Node #0,2: 79:[14, 88, 68] Operation: 97-29=68
Exploring Operation: 97-14=83, Resulting Numbers: [29, 88, 83]
Generated Node #0,3: 79:[29, 88, 83] Operation: 97-14=83
Start Sub Search at level 1: Moving to Node #0,1
Current State: 79:[88, 97, 43], Operations: ['14+29=43']
Exploring Operation: 88+43=131, Resulting Numbers: [97, 131]
Generated Node #0,1,0: 79:[97, 131] Operation: 88+43=131
Exploring Operation: 88-43=45, Resulting Numbers: [97, 45]
Generated Node #0,1,1: 79:[97, 45] Operation: 88-43=45
Exploring Operation: 97-43=54, Resulting Numbers: [88, 54]
Generated Node #0,1,2: 79:[88, 54] Operation: 97-43=54
Exploring Operation: 97+43=140, Resulting Numbers: [88, 140]
Generated Node #0,1,3: 79:[88, 140] Operation: 97+43=140
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 79:[88, 54], Operations: ['14+29=43', '97-43=54']
Exploring Operation: 88+54=142, Resulting Numbers: [142]
142,79 unequal: No Solution
Exploring Operation: 88*54=4752, Resulting Numbers: [4752]
4752,79 unequal: No Solution
Exploring Operation: 88-54=34, Resulting Numbers: [34]
34,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 79:[97, 45], Operations: ['14+29=43', '88-43=45']
Exploring Operation: 97-45=52, Resulting Numbers: [52]
52,79 unequal: No Solution
Exploring Operation: 97*45=4365, Resulting Numbers: [4365]
4365,79 unequal: No Solution
Exploring Operation: 97+45=142, Resulting Numbers: [142]
142,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 79:[97, 131], Operations: ['14+29=43', '88+43=131']
Exploring Operation: 97*131=12707, Resulting Numbers: [12707]
12707,79 unequal: No Solution
Exploring Operation: 131-97=34, Resulting Numbers: [34]
34,79 unequal: No Solution
Exploring Operation: 97+131=228, Resulting Numbers: [228]
228,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 79:[88, 140], Operations: ['14+29=43', '97+43=140']
Exploring Operation: 140-88=52, Resulting Numbers: [52]
52,79 unequal: No Solution
Exploring Operation: 88*140=12320, Resulting Numbers: [12320]
12320,79 unequal: No Solution
Exploring Operation: 88+140=228, Resulting Numbers: [228]
228,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 79:[29, 88, 83], Operations: ['97-14=83']
Exploring Operation: 29+88=117, Resulting Numbers: [83, 117]
Generated Node #0,3,0: 79:[83, 117] Operation: 29+88=117
Exploring Operation: 88-29=59, Resulting Numbers: [83, 59]
Generated Node #0,3,1: 79:[83, 59] Operation: 88-29=59
Exploring Operation: 83-29=54, Resulting Numbers: [88, 54]
Generated Node #0,3,2: 79:[88, 54] Operation: 83-29=54
Exploring Operation: 29+83=112, Resulting Numbers: [88, 112]
Generated Node #0,3,3: 79:[88, 112] Operation: 29+83=112
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 79:[83, 59], Operations: ['97-14=83', '88-29=59']
Exploring Operation: 83-59=24, Resulting Numbers: [24]
24,79 unequal: No Solution
Exploring Operation: 83*59=4897, Resulting Numbers: [4897]
4897,79 unequal: No Solution
Exploring Operation: 83+59=142, Resulting Numbers: [142]
142,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 79:[88, 54], Operations: ['97-14=83', '83-29=54']
Exploring Operation: 88*54=4752, Resulting Numbers: [4752]
4752,79 unequal: No Solution
Exploring Operation: 88-54=34, Resulting Numbers: [34]
34,79 unequal: No Solution
Exploring Operation: 88+54=142, Resulting Numbers: [142]
142,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 79:[83, 117], Operations: ['97-14=83', '29+88=117']
Exploring Operation: 83+117=200, Resulting Numbers: [200]
200,79 unequal: No Solution
Exploring Operation: 117-83=34, Resulting Numbers: [34]
34,79 unequal: No Solution
Exploring Operation: 83*117=9711, Resulting Numbers: [9711]
9711,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 79:[88, 112], Operations: ['97-14=83', '29+83=112']
Exploring Operation: 88+112=200, Resulting Numbers: [200]
200,79 unequal: No Solution
Exploring Operation: 112-88=24, Resulting Numbers: [24]
24,79 unequal: No Solution
Exploring Operation: 88*112=9856, Resulting Numbers: [9856]
9856,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[29, 97, 74], Operations: ['88-14=74']
Exploring Operation: 29+97=126, Resulting Numbers: [74, 126]
Generated Node #0,0,0: 79:[74, 126] Operation: 29+97=126
Exploring Operation: 74-29=45, Resulting Numbers: [97, 45]
Generated Node #0,0,1: 79:[97, 45] Operation: 74-29=45
Exploring Operation: 97-29=68, Resulting Numbers: [74, 68]
Generated Node #0,0,2: 79:[74, 68] Operation: 97-29=68
Exploring Operation: 29+74=103, Resulting Numbers: [97, 103]
Generated Node #0,0,3: 79:[97, 103] Operation: 29+74=103
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 79:[74, 68], Operations: ['88-14=74', '97-29=68']
Exploring Operation: 74+68=142, Resulting Numbers: [142]
142,79 unequal: No Solution
Exploring Operation: 74*68=5032, Resulting Numbers: [5032]
5032,79 unequal: No Solution
Exploring Operation: 74-68=6, Resulting Numbers: [6]
6,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 79:[97, 103], Operations: ['88-14=74', '29+74=103']
Exploring Operation: 103-97=6, Resulting Numbers: [6]
6,79 unequal: No Solution
Exploring Operation: 97+103=200, Resulting Numbers: [200]
200,79 unequal: No Solution
Exploring Operation: 97*103=9991, Resulting Numbers: [9991]
9991,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 79:[74, 126], Operations: ['88-14=74', '29+97=126']
Exploring Operation: 74+126=200, Resulting Numbers: [200]
200,79 unequal: No Solution
Exploring Operation: 126-74=52, Resulting Numbers: [52]
52,79 unequal: No Solution
Exploring Operation: 74*126=9324, Resulting Numbers: [9324]
9324,79 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:[97, 45], Operations: ['88-14=74', '74-29=45']
Exploring Operation: 97*45=4365, Resulting Numbers: [4365]
4365,79 unequal: No Solution
Exploring Operation: 97+45=142, Resulting Numbers: [142]
142,79 unequal: No Solution
Exploring Operation: 97-45=52, Resulting Numbers: [52]
52,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 79:[14, 88, 68], Operations: ['97-29=68']
Exploring Operation: 88-14=74, Resulting Numbers: [68, 74]
Generated Node #0,2,0: 79:[68, 74] Operation: 88-14=74
Exploring Operation: 14+68=82, Resulting Numbers: [88, 82]
Generated Node #0,2,1: 79:[88, 82] Operation: 14+68=82
Exploring Operation: 14+88=102, Resulting Numbers: [68, 102]
Generated Node #0,2,2: 79:[68, 102] Operation: 14+88=102
Exploring Operation: 68-14=54, Resulting Numbers: [88, 54]
Generated Node #0,2,3: 79:[88, 54] Operation: 68-14=54
Moving to Node #0,2,1
Current State: 79:[88, 82], Operations: ['97-29=68', '14+68=82']
Exploring Operation: 88-82=6, Resulting Numbers: [6]
6,79 unequal: No Solution
Exploring Operation: 88+82=170, Resulting Numbers: [170]
170,79 unequal: No Solution
Exploring Operation: 88*82=7216, Resulting Numbers: [7216]
7216,79 unequal: No Solution
Moving to Node #0,2,0
Current State: 79:[68, 74], Operations: ['97-29=68', '88-14=74']
Exploring Operation: 68*74=5032, Resulting Numbers: [5032]
5032,79 unequal: No Solution
Exploring Operation: 68+74=142, Resulting Numbers: [142]
142,79 unequal: No Solution
Exploring Operation: 74-68=6, Resulting Numbers: [6]
6,79 unequal: No Solution
Moving to Node #0,2,3
Current State: 79:[88, 54], Operations: ['97-29=68', '68-14=54']
Exploring Operation: 88-54=34, Resulting Numbers: [34]
34,79 unequal: No Solution
Exploring Operation: 88*54=4752, Resulting Numbers: [4752]
4752,79 unequal: No Solution
Exploring Operation: 88+54=142, Resulting Numbers: [142]
142,79 unequal: No Solution
Moving to Node #0,2,2
Current State: 79:[68, 102], Operations: ['97-29=68', '14+88=102']
Exploring Operation: 68+102=170, Resulting Numbers: [170]
170,79 unequal: No Solution
Exploring Operation: 102-68=34, Resulting Numbers: [34]
34,79 unequal: No Solution
Exploring Operation: 68*102=6936, Resulting Numbers: [6936]
6936,79 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 |
[
66,
90,
70,
55
] | 11 | [
"70-55=15",
"66*15=990",
"990/90=11"
] | Current State: 11:[66, 90, 70, 55], Operations: []
Exploring Operation: 70-55=15, Resulting Numbers: [66, 90, 15]
Generated Node #2: [66, 90, 15] from Operation: 70-55=15
Current State: 11:[66, 90, 15], Operations: ['70-55=15']
Exploring Operation: 66*15=990, Resulting Numbers: [90, 990]
Generated Node #3: [90, 990] from Operation: 66*15=990
Current State: 11:[90, 990], Operations: ['70-55=15', '66*15=990']
Exploring Operation: 990/90=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[66, 90, 70, 55], Operations: []
Exploring Operation: 66-55=11, Resulting Numbers: [90, 70, 11]
Generated Node #0,0: 11:[90, 70, 11] Operation: 66-55=11
Exploring Operation: 90-66=24, Resulting Numbers: [70, 55, 24]
Generated Node #0,1: 11:[70, 55, 24] Operation: 90-66=24
Exploring Operation: 70-66=4, Resulting Numbers: [90, 55, 4]
Generated Node #0,2: 11:[90, 55, 4] Operation: 70-66=4
Exploring Operation: 90-70=20, Resulting Numbers: [66, 55, 20]
Generated Node #0,3: 11:[66, 55, 20] Operation: 90-70=20
Moving to Node #0,3
Current State: 11:[66, 55, 20], Operations: ['90-70=20']
Exploring Operation: 66-55=11, Resulting Numbers: [20, 11]
Generated Node #0,3,0: 11:[20, 11] Operation: 66-55=11
Exploring Operation: 66-20=46, Resulting Numbers: [55, 46]
Generated Node #0,3,1: 11:[55, 46] Operation: 66-20=46
Exploring Operation: 66+55=121, Resulting Numbers: [20, 121]
Generated Node #0,3,2: 11:[20, 121] Operation: 66+55=121
Exploring Operation: 55-20=35, Resulting Numbers: [66, 35]
Generated Node #0,3,3: 11:[66, 35] Operation: 55-20=35
Moving to Node #0,1
Current State: 11:[70, 55, 24], Operations: ['90-66=24']
Exploring Operation: 70-24=46, Resulting Numbers: [55, 46]
Generated Node #0,1,0: 11:[55, 46] Operation: 70-24=46
Exploring Operation: 70-55=15, Resulting Numbers: [24, 15]
Generated Node #0,1,1: 11:[24, 15] Operation: 70-55=15
Exploring Operation: 55-24=31, Resulting Numbers: [70, 31]
Generated Node #0,1,2: 11:[70, 31] Operation: 55-24=31
Exploring Operation: 70+55=125, Resulting Numbers: [24, 125]
Generated Node #0,1,3: 11:[24, 125] Operation: 70+55=125
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 11:[24, 15], Operations: ['90-66=24', '70-55=15']
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Exploring Operation: 24+15=39, Resulting Numbers: [39]
39,11 unequal: No Solution
Exploring Operation: 24*15=360, Resulting Numbers: [360]
360,11 unequal: No Solution
No 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: 11:[55, 46], Operations: ['90-66=24', '70-24=46']
Exploring Operation: 55*46=2530, Resulting Numbers: [2530]
2530,11 unequal: No Solution
Exploring Operation: 55-46=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Exploring Operation: 55+46=101, Resulting Numbers: [101]
101,11 unequal: No Solution
No 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: 11:[70, 31], Operations: ['90-66=24', '55-24=31']
Exploring Operation: 70*31=2170, Resulting Numbers: [2170]
2170,11 unequal: No Solution
Exploring Operation: 70-31=39, Resulting Numbers: [39]
39,11 unequal: No Solution
Exploring Operation: 70+31=101, Resulting Numbers: [101]
101,11 unequal: No Solution
No 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: 11:[24, 125], Operations: ['90-66=24', '70+55=125']
Exploring Operation: 24+125=149, Resulting Numbers: [149]
149,11 unequal: No Solution
Exploring Operation: 125-24=101, Resulting Numbers: [101]
101,11 unequal: No Solution
Exploring Operation: 24*125=3000, Resulting Numbers: [3000]
3000,11 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: 11:[90, 55, 4], Operations: ['70-66=4']
Exploring Operation: 90+4=94, Resulting Numbers: [55, 94]
Generated Node #0,2,0: 11:[55, 94] Operation: 90+4=94
Exploring Operation: 90-4=86, Resulting Numbers: [55, 86]
Generated Node #0,2,1: 11:[55, 86] Operation: 90-4=86
Exploring Operation: 90-55=35, Resulting Numbers: [4, 35]
Generated Node #0,2,2: 11:[4, 35] Operation: 90-55=35
Exploring Operation: 55-4=51, Resulting Numbers: [90, 51]
Generated Node #0,2,3: 11:[90, 51] Operation: 55-4=51
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 11:[4, 35], Operations: ['70-66=4', '90-55=35']
Exploring Operation: 4+35=39, Resulting Numbers: [39]
39,11 unequal: No Solution
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,11 unequal: No Solution
Exploring Operation: 4*35=140, Resulting Numbers: [140]
140,11 unequal: No Solution
No 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: 11:[55, 86], Operations: ['70-66=4', '90-4=86']
Exploring Operation: 55*86=4730, Resulting Numbers: [4730]
4730,11 unequal: No Solution
Exploring Operation: 86-55=31, Resulting Numbers: [31]
31,11 unequal: No Solution
Exploring Operation: 55+86=141, Resulting Numbers: [141]
141,11 unequal: No Solution
No 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: 11:[90, 51], Operations: ['70-66=4', '55-4=51']
Exploring Operation: 90-51=39, Resulting Numbers: [39]
39,11 unequal: No Solution
Exploring Operation: 90+51=141, Resulting Numbers: [141]
141,11 unequal: No Solution
Exploring Operation: 90*51=4590, Resulting Numbers: [4590]
4590,11 unequal: No Solution
No 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: 11:[55, 94], Operations: ['70-66=4', '90+4=94']
Exploring Operation: 94-55=39, Resulting Numbers: [39]
39,11 unequal: No Solution
Exploring Operation: 55+94=149, Resulting Numbers: [149]
149,11 unequal: No Solution
Exploring Operation: 55*94=5170, Resulting Numbers: [5170]
5170,11 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: 11:[90, 70, 11], Operations: ['66-55=11']
Exploring Operation: 70-11=59, Resulting Numbers: [90, 59]
Generated Node #0,0,0: 11:[90, 59] Operation: 70-11=59
Exploring Operation: 90+70=160, Resulting Numbers: [11, 160]
Generated Node #0,0,1: 11:[11, 160] Operation: 90+70=160
Exploring Operation: 90-11=79, Resulting Numbers: [70, 79]
Generated Node #0,0,2: 11:[70, 79] Operation: 90-11=79
Exploring Operation: 90-70=20, Resulting Numbers: [11, 20]
Generated Node #0,0,3: 11:[11, 20] Operation: 90-70=20
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 11:[11, 20], Operations: ['66-55=11', '90-70=20']
Exploring Operation: 11*20=220, Resulting Numbers: [220]
220,11 unequal: No Solution
Exploring Operation: 11+20=31, Resulting Numbers: [31]
31,11 unequal: No Solution
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,11 unequal: No Solution
No 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: 11:[90, 59], Operations: ['66-55=11', '70-11=59']
Exploring Operation: 90+59=149, Resulting Numbers: [149]
149,11 unequal: No Solution
Exploring Operation: 90-59=31, Resulting Numbers: [31]
31,11 unequal: No Solution
Exploring Operation: 90*59=5310, Resulting Numbers: [5310]
5310,11 unequal: No Solution
No 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: 11:[70, 79], Operations: ['66-55=11', '90-11=79']
Exploring Operation: 70*79=5530, Resulting Numbers: [5530]
5530,11 unequal: No Solution
Exploring Operation: 79-70=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Exploring Operation: 70+79=149, Resulting Numbers: [149]
149,11 unequal: No Solution
No 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: 11:[11, 160], Operations: ['66-55=11', '90+70=160']
Exploring Operation: 11*160=1760, Resulting Numbers: [1760]
1760,11 unequal: No Solution
Exploring Operation: 11+160=171, Resulting Numbers: [171]
171,11 unequal: No Solution
Exploring Operation: 160-11=149, Resulting Numbers: [149]
149,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 11:[20, 11], Operations: ['90-70=20', '66-55=11']
Exploring Operation: 20+11=31, Resulting Numbers: [31]
31,11 unequal: No Solution
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Exploring Operation: 20*11=220, Resulting Numbers: [220]
220,11 unequal: No Solution
Moving to Node #0,3,3
Current State: 11:[66, 35], Operations: ['90-70=20', '55-20=35']
Exploring Operation: 66-35=31, Resulting Numbers: [31]
31,11 unequal: No Solution
Exploring Operation: 66+35=101, Resulting Numbers: [101]
101,11 unequal: No Solution
Exploring Operation: 66*35=2310, Resulting Numbers: [2310]
2310,11 unequal: No Solution
Moving to Node #0,3,1
Current State: 11:[55, 46], Operations: ['90-70=20', '66-20=46']
Exploring Operation: 55-46=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Exploring Operation: 55*46=2530, Resulting Numbers: [2530]
2530,11 unequal: No Solution
Exploring Operation: 55+46=101, Resulting Numbers: [101]
101,11 unequal: No Solution
Moving to Node #0,3,2
Current State: 11:[20, 121], Operations: ['90-70=20', '66+55=121']
Exploring Operation: 121-20=101, Resulting Numbers: [101]
101,11 unequal: No Solution
Exploring Operation: 20*121=2420, Resulting Numbers: [2420]
2420,11 unequal: No Solution
Exploring Operation: 20+121=141, Resulting Numbers: [141]
141,11 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
97,
45,
4,
11
] | 97 | [
"4*11=44",
"45-44=1",
"97*1=97"
] | Current State: 97:[97, 45, 4, 11], Operations: []
Exploring Operation: 4*11=44, Resulting Numbers: [97, 45, 44]
Generated Node #2: [97, 45, 44] from Operation: 4*11=44
Current State: 97:[97, 45, 44], Operations: ['4*11=44']
Exploring Operation: 45-44=1, Resulting Numbers: [97, 1]
Generated Node #3: [97, 1] from Operation: 45-44=1
Current State: 97:[97, 1], Operations: ['4*11=44', '45-44=1']
Exploring Operation: 97*1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[97, 45, 4, 11], Operations: []
Exploring Operation: 45+4=49, Resulting Numbers: [97, 11, 49]
Generated Node #0,0: 97:[97, 11, 49] Operation: 45+4=49
Exploring Operation: 4*11=44, Resulting Numbers: [97, 45, 44]
Generated Node #0,1: 97:[97, 45, 44] Operation: 4*11=44
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[97, 45, 44], Operations: ['4*11=44']
Exploring Operation: 45+44=89, Resulting Numbers: [97, 89]
Generated Node #0,1,0: 97:[97, 89] Operation: 45+44=89
Exploring Operation: 97+44=141, Resulting Numbers: [45, 141]
Generated Node #0,1,1: 97:[45, 141] Operation: 97+44=141
Moving to Node #0,1,0
Current State: 97:[97, 89], Operations: ['4*11=44', '45+44=89']
Exploring Operation: 97+89=186, Resulting Numbers: [186]
186,97 unequal: No Solution
Exploring Operation: 97-89=8, Resulting Numbers: [8]
8,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[45, 141], Operations: ['4*11=44', '97+44=141']
Exploring Operation: 141-45=96, Resulting Numbers: [96]
96,97 unequal: No Solution
Exploring Operation: 45+141=186, Resulting Numbers: [186]
186,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[97, 11, 49], Operations: ['45+4=49']
Exploring Operation: 97+11=108, Resulting Numbers: [49, 108]
Generated Node #0,0,0: 97:[49, 108] Operation: 97+11=108
Exploring Operation: 11+49=60, Resulting Numbers: [97, 60]
Generated Node #0,0,1: 97:[97, 60] Operation: 11+49=60
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 97:[97, 60], Operations: ['45+4=49', '11+49=60']
Exploring Operation: 97+60=157, Resulting Numbers: [157]
157,97 unequal: No Solution
Exploring Operation: 97-60=37, Resulting Numbers: [37]
37,97 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:[49, 108], Operations: ['45+4=49', '97+11=108']
Exploring Operation: 49+108=157, Resulting Numbers: [157]
157,97 unequal: No Solution
Exploring Operation: 108-49=59, Resulting Numbers: [59]
59,97 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
No solution found.
| 0 | hs_2 | sum_heuristic |
[
5,
19,
19,
21
] | 25 | [
"5+21=26",
"19/19=1",
"26-1=25"
] | Current State: 25:[5, 19, 19, 21], Operations: []
Exploring Operation: 5+21=26, Resulting Numbers: [19, 19, 26]
Generated Node #2: [19, 19, 26] from Operation: 5+21=26
Current State: 25:[19, 19, 26], Operations: ['5+21=26']
Exploring Operation: 19/19=1, Resulting Numbers: [26, 1]
Generated Node #3: [26, 1] from Operation: 19/19=1
Current State: 25:[26, 1], Operations: ['5+21=26', '19/19=1']
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[5, 19, 19, 21], Operations: []
Exploring Operation: 19/19=1, Resulting Numbers: [5, 21, 1]
Generated Node #0,0: 25:[5, 21, 1] Operation: 19/19=1
Moving to Node #0,0
Current State: 25:[5, 21, 1], Operations: ['19/19=1']
Exploring Operation: 21+1=22, Resulting Numbers: [5, 22]
Generated Node #0,0,0: 25:[5, 22] Operation: 21+1=22
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 25:[5, 22], Operations: ['19/19=1', '21+1=22']
Exploring Operation: 5+22=27, Resulting Numbers: [27]
27,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
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