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 |
|---|---|---|---|---|---|---|---|---|
[
97,
32,
56,
7
] | 63 | [
"97-32=65",
"65-56=9",
"7*9=63"
] | Current State: 63:[97, 32, 56, 7], Operations: []
Exploring Operation: 97-32=65, Resulting Numbers: [56, 7, 65]
Generated Node #2: [56, 7, 65] from Operation: 97-32=65
Current State: 63:[56, 7, 65], Operations: ['97-32=65']
Exploring Operation: 65-56=9, Resulting Numbers: [7, 9]
Generated Node #3: [7, 9] from Operation: 65-56=9
Current State: 63:[7, 9], Operations: ['97-32=65', '65-56=9']
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[97, 32, 56, 7], Operations: []
Exploring Operation: 56-32=24, Resulting Numbers: [97, 7, 24]
Generated Node #0,0: 63:[97, 7, 24] Operation: 56-32=24
Exploring Operation: 97-56=41, Resulting Numbers: [32, 7, 41]
Generated Node #0,1: 63:[32, 7, 41] Operation: 97-56=41
Exploring Operation: 97-7=90, Resulting Numbers: [32, 56, 90]
Generated Node #0,2: 63:[32, 56, 90] Operation: 97-7=90
Exploring Operation: 97-32=65, Resulting Numbers: [56, 7, 65]
Generated Node #0,3: 63:[56, 7, 65] Operation: 97-32=65
Exploring Operation: 32-7=25, Resulting Numbers: [97, 56, 25]
Generated Node #0,4: 63:[97, 56, 25] Operation: 32-7=25
Moving to Node #0,3
Current State: 63:[56, 7, 65], Operations: ['97-32=65']
Exploring Operation: 65-7=58, Resulting Numbers: [56, 58]
Generated Node #0,3,0: 63:[56, 58] Operation: 65-7=58
Exploring Operation: 65-56=9, Resulting Numbers: [7, 9]
Generated Node #0,3,1: 63:[7, 9] Operation: 65-56=9
Exploring Operation: 56+7=63, Resulting Numbers: [65, 63]
Generated Node #0,3,2: 63:[65, 63] Operation: 56+7=63
Exploring Operation: 56-7=49, Resulting Numbers: [65, 49]
Generated Node #0,3,3: 63:[65, 49] Operation: 56-7=49
Exploring Operation: 56/7=8, Resulting Numbers: [65, 8]
Generated Node #0,3,4: 63:[65, 8] Operation: 56/7=8
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 63:[7, 9], Operations: ['97-32=65', '65-56=9']
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[97, 32, 56, 7], Operations: []
Exploring Operation: 97-32=65, Resulting Numbers: [56, 7, 65]
Generated Node #0,3: 63:[56, 7, 65] Operation: 97-32=65
Moving to Node #0,3
Current State: 63:[56, 7, 65], Operations: ['97-32=65']
Exploring Operation: 65-56=9, Resulting Numbers: [7, 9]
Generated Node #0,3,1: 63:[7, 9] Operation: 65-56=9
Moving to Node #0,3,1
Current State: 63:[7, 9], Operations: ['97-32=65', '65-56=9']
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
15,
74,
67,
67
] | 74 | [
"67-67=0",
"15*0=0",
"74+0=74"
] | Current State: 74:[15, 74, 67, 67], Operations: []
Exploring Operation: 67-67=0, Resulting Numbers: [15, 74, 0]
Generated Node #2: [15, 74, 0] from Operation: 67-67=0
Current State: 74:[15, 74, 0], Operations: ['67-67=0']
Exploring Operation: 15*0=0, Resulting Numbers: [74, 0]
Generated Node #3: [74, 0] from Operation: 15*0=0
Current State: 74:[74, 0], Operations: ['67-67=0', '15*0=0']
Exploring Operation: 74+0=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[15, 74, 67, 67], Operations: []
Exploring Operation: 15+67=82, Resulting Numbers: [74, 67, 82]
Generated Node #0,0: 74:[74, 67, 82] Operation: 15+67=82
Exploring Operation: 67-67=0, Resulting Numbers: [15, 74, 0]
Generated Node #0,1: 74:[15, 74, 0] Operation: 67-67=0
Exploring Operation: 15+67=82, Resulting Numbers: [74, 67, 82]
Generated Node #0,2: 74:[74, 67, 82] Operation: 15+67=82
Exploring Operation: 67/67=1, Resulting Numbers: [15, 74, 1]
Generated Node #0,3: 74:[15, 74, 1] Operation: 67/67=1
Moving to Node #0,3
Current State: 74:[15, 74, 1], Operations: ['67/67=1']
Exploring Operation: 15/1=15, Resulting Numbers: [74, 15]
Generated Node #0,3,0: 74:[74, 15] Operation: 15/1=15
Exploring Operation: 15-1=14, Resulting Numbers: [74, 14]
Generated Node #0,3,1: 74:[74, 14] Operation: 15-1=14
Exploring Operation: 74*1=74, Resulting Numbers: [15, 74]
Generated Node #0,3,2: 74:[15, 74] Operation: 74*1=74
Exploring Operation: 15*1=15, Resulting Numbers: [74, 15]
Generated Node #0,3,3: 74:[74, 15] Operation: 15*1=15
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 74:[74, 14], Operations: ['67/67=1', '15-1=14']
Exploring Operation: 74+14=88, Resulting Numbers: [88]
88,74 unequal: No Solution
Exploring Operation: 74-14=60, Resulting Numbers: [60]
60,74 unequal: No Solution
Exploring Operation: 74*14=1036, Resulting Numbers: [1036]
1036,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 74:[74, 15], Operations: ['67/67=1', '15/1=15']
Exploring Operation: 74*15=1110, Resulting Numbers: [1110]
1110,74 unequal: No Solution
Exploring Operation: 74+15=89, Resulting Numbers: [89]
89,74 unequal: No Solution
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 74:[15, 74], Operations: ['67/67=1', '74*1=74']
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Exploring Operation: 15*74=1110, Resulting Numbers: [1110]
1110,74 unequal: No Solution
Exploring Operation: 15+74=89, Resulting Numbers: [89]
89,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 74:[74, 15], Operations: ['67/67=1', '15*1=15']
Exploring Operation: 74+15=89, Resulting Numbers: [89]
89,74 unequal: No Solution
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Exploring Operation: 74*15=1110, Resulting Numbers: [1110]
1110,74 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: 74:[15, 74, 0], Operations: ['67-67=0']
Exploring Operation: 74+0=74, Resulting Numbers: [15, 74]
Generated Node #0,1,0: 74:[15, 74] Operation: 74+0=74
Exploring Operation: 15-0=15, Resulting Numbers: [74, 15]
Generated Node #0,1,1: 74:[74, 15] Operation: 15-0=15
Exploring Operation: 15+0=15, Resulting Numbers: [74, 15]
Generated Node #0,1,2: 74:[74, 15] Operation: 15+0=15
Exploring Operation: 15*0=0, Resulting Numbers: [74, 0]
Generated Node #0,1,3: 74:[74, 0] Operation: 15*0=0
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 74:[74, 0], Operations: ['67-67=0', '15*0=0']
Exploring Operation: 74*0=0, Resulting Numbers: [0]
0,74 unequal: No Solution
Exploring Operation: 74+0=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[15, 74, 67, 67], Operations: []
Exploring Operation: 67-67=0, Resulting Numbers: [15, 74, 0]
Generated Node #0,1: 74:[15, 74, 0] Operation: 67-67=0
Moving to Node #0,1
Current State: 74:[15, 74, 0], Operations: ['67-67=0']
Exploring Operation: 15*0=0, Resulting Numbers: [74, 0]
Generated Node #0,1,3: 74:[74, 0] Operation: 15*0=0
Moving to Node #0,1,3
Current State: 74:[74, 0], Operations: ['67-67=0', '15*0=0']
Exploring Operation: 74+0=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_4 | mult_heuristic |
[
39,
25,
33,
40
] | 59 | [
"39-25=14",
"33+40=73",
"73-14=59"
] | Current State: 59:[39, 25, 33, 40], Operations: []
Exploring Operation: 39-25=14, Resulting Numbers: [33, 40, 14]
Generated Node #2: [33, 40, 14] from Operation: 39-25=14
Current State: 59:[33, 40, 14], Operations: ['39-25=14']
Exploring Operation: 33+40=73, Resulting Numbers: [14, 73]
Generated Node #3: [14, 73] from Operation: 33+40=73
Current State: 59:[14, 73], Operations: ['39-25=14', '33+40=73']
Exploring Operation: 73-14=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[39, 25, 33, 40], Operations: []
Exploring Operation: 39+25=64, Resulting Numbers: [33, 40, 64]
Generated Node #0,0: 59:[33, 40, 64] Operation: 39+25=64
Exploring Operation: 25+33=58, Resulting Numbers: [39, 40, 58]
Generated Node #0,1: 59:[39, 40, 58] Operation: 25+33=58
Exploring Operation: 25+40=65, Resulting Numbers: [39, 33, 65]
Generated Node #0,2: 59:[39, 33, 65] Operation: 25+40=65
Moving to Node #0,1
Current State: 59:[39, 40, 58], Operations: ['25+33=58']
Exploring Operation: 39+58=97, Resulting Numbers: [40, 97]
Generated Node #0,1,0: 59:[40, 97] Operation: 39+58=97
Exploring Operation: 40-39=1, Resulting Numbers: [58, 1]
Generated Node #0,1,1: 59:[58, 1] Operation: 40-39=1
Exploring Operation: 39+40=79, Resulting Numbers: [58, 79]
Generated Node #0,1,2: 59:[58, 79] Operation: 39+40=79
Moving to Node #0,0
Current State: 59:[33, 40, 64], Operations: ['39+25=64']
Exploring Operation: 33+40=73, Resulting Numbers: [64, 73]
Generated Node #0,0,0: 59:[64, 73] Operation: 33+40=73
Exploring Operation: 64-33=31, Resulting Numbers: [40, 31]
Generated Node #0,0,1: 59:[40, 31] Operation: 64-33=31
Exploring Operation: 40-33=7, Resulting Numbers: [64, 7]
Generated Node #0,0,2: 59:[64, 7] Operation: 40-33=7
Moving to Node #0,2
Current State: 59:[39, 33, 65], Operations: ['25+40=65']
Exploring Operation: 65-33=32, Resulting Numbers: [39, 32]
Generated Node #0,2,0: 59:[39, 32] Operation: 65-33=32
Exploring Operation: 39+33=72, Resulting Numbers: [65, 72]
Generated Node #0,2,1: 59:[65, 72] Operation: 39+33=72
Exploring Operation: 39-33=6, Resulting Numbers: [65, 6]
Generated Node #0,2,2: 59:[65, 6] Operation: 39-33=6
Moving to Node #0,0,0
Current State: 59:[64, 73], Operations: ['39+25=64', '33+40=73']
Exploring Operation: 64+73=137, Resulting Numbers: [137]
137,59 unequal: No Solution
Exploring Operation: 73-64=9, Resulting Numbers: [9]
9,59 unequal: No Solution
Exploring Operation: 64*73=4672, Resulting Numbers: [4672]
4672,59 unequal: No Solution
Moving to Node #0,2,1
Current State: 59:[65, 72], Operations: ['25+40=65', '39+33=72']
Exploring Operation: 72-65=7, Resulting Numbers: [7]
7,59 unequal: No Solution
Exploring Operation: 65+72=137, Resulting Numbers: [137]
137,59 unequal: No Solution
Exploring Operation: 65*72=4680, Resulting Numbers: [4680]
4680,59 unequal: No Solution
Moving to Node #0,1,2
Current State: 59:[58, 79], Operations: ['25+33=58', '39+40=79']
Exploring Operation: 58*79=4582, Resulting Numbers: [4582]
4582,59 unequal: No Solution
Exploring Operation: 58+79=137, Resulting Numbers: [137]
137,59 unequal: No Solution
Exploring Operation: 79-58=21, Resulting Numbers: [21]
21,59 unequal: No Solution
Moving to Node #0,0,1
Current State: 59:[40, 31], Operations: ['39+25=64', '64-33=31']
Exploring Operation: 40+31=71, Resulting Numbers: [71]
71,59 unequal: No Solution
Exploring Operation: 40*31=1240, Resulting Numbers: [1240]
1240,59 unequal: No Solution
Exploring Operation: 40-31=9, Resulting Numbers: [9]
9,59 unequal: No Solution
Moving to Node #0,2,0
Current State: 59:[39, 32], Operations: ['25+40=65', '65-33=32']
Exploring Operation: 39+32=71, Resulting Numbers: [71]
71,59 unequal: No Solution
Exploring Operation: 39-32=7, Resulting Numbers: [7]
7,59 unequal: No Solution
Exploring Operation: 39*32=1248, Resulting Numbers: [1248]
1248,59 unequal: No Solution
Moving to Node #0,0,2
Current State: 59:[64, 7], Operations: ['39+25=64', '40-33=7']
Exploring Operation: 64+7=71, Resulting Numbers: [71]
71,59 unequal: No Solution
Exploring Operation: 64*7=448, Resulting Numbers: [448]
448,59 unequal: No Solution
Exploring Operation: 64-7=57, Resulting Numbers: [57]
57,59 unequal: No Solution
Moving to Node #0,1,0
Current State: 59:[40, 97], Operations: ['25+33=58', '39+58=97']
Exploring Operation: 40*97=3880, Resulting Numbers: [3880]
3880,59 unequal: No Solution
Exploring Operation: 40+97=137, Resulting Numbers: [137]
137,59 unequal: No Solution
Exploring Operation: 97-40=57, Resulting Numbers: [57]
57,59 unequal: No Solution
Moving to Node #0,2,2
Current State: 59:[65, 6], Operations: ['25+40=65', '39-33=6']
Exploring Operation: 65+6=71, Resulting Numbers: [71]
71,59 unequal: No Solution
Exploring Operation: 65*6=390, Resulting Numbers: [390]
390,59 unequal: No Solution
Exploring Operation: 65-6=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[39, 25, 33, 40], Operations: []
Exploring Operation: 25+40=65, Resulting Numbers: [39, 33, 65]
Generated Node #0,2: 59:[39, 33, 65] Operation: 25+40=65
Moving to Node #0,2
Current State: 59:[39, 33, 65], Operations: ['25+40=65']
Exploring Operation: 39-33=6, Resulting Numbers: [65, 6]
Generated Node #0,2,2: 59:[65, 6] Operation: 39-33=6
Moving to Node #0,2,2
Current State: 59:[65, 6], Operations: ['25+40=65', '39-33=6']
Exploring Operation: 65-6=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 0.965278 | hs_3 | sum_heuristic |
[
48,
72,
64,
14
] | 52 | [
"64+14=78",
"48*78=3744",
"3744/72=52"
] | Current State: 52:[48, 72, 64, 14], Operations: []
Exploring Operation: 64+14=78, Resulting Numbers: [48, 72, 78]
Generated Node #2: [48, 72, 78] from Operation: 64+14=78
Current State: 52:[48, 72, 78], Operations: ['64+14=78']
Exploring Operation: 48*78=3744, Resulting Numbers: [72, 3744]
Generated Node #3: [72, 3744] from Operation: 48*78=3744
Current State: 52:[72, 3744], Operations: ['64+14=78', '48*78=3744']
Exploring Operation: 3744/72=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[48, 72, 64, 14], Operations: []
Exploring Operation: 72-64=8, Resulting Numbers: [48, 14, 8]
Generated Node #0,0: 52:[48, 14, 8] Operation: 72-64=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[48, 14, 8], Operations: ['72-64=8']
Exploring Operation: 48/8=6, Resulting Numbers: [14, 6]
Generated Node #0,0,0: 52:[14, 6] Operation: 48/8=6
Moving to Node #0,0,0
Current State: 52:[14, 6], Operations: ['72-64=8', '48/8=6']
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,52 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,
36,
46,
21
] | 51 | [
"52-36=16",
"46+21=67",
"67-16=51"
] | Current State: 51:[52, 36, 46, 21], Operations: []
Exploring Operation: 52-36=16, Resulting Numbers: [46, 21, 16]
Generated Node #2: [46, 21, 16] from Operation: 52-36=16
Current State: 51:[46, 21, 16], Operations: ['52-36=16']
Exploring Operation: 46+21=67, Resulting Numbers: [16, 67]
Generated Node #3: [16, 67] from Operation: 46+21=67
Current State: 51:[16, 67], Operations: ['52-36=16', '46+21=67']
Exploring Operation: 67-16=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[52, 36, 46, 21], Operations: []
Exploring Operation: 46-36=10, Resulting Numbers: [52, 21, 10]
Generated Node #0,0: 51:[52, 21, 10] Operation: 46-36=10
Exploring Operation: 36+21=57, Resulting Numbers: [52, 46, 57]
Generated Node #0,1: 51:[52, 46, 57] Operation: 36+21=57
Exploring Operation: 36-21=15, Resulting Numbers: [52, 46, 15]
Generated Node #0,2: 51:[52, 46, 15] Operation: 36-21=15
Exploring Operation: 52-36=16, Resulting Numbers: [46, 21, 16]
Generated Node #0,3: 51:[46, 21, 16] Operation: 52-36=16
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[52, 46, 15], Operations: ['36-21=15']
Exploring Operation: 46-15=31, Resulting Numbers: [52, 31]
Generated Node #0,2,0: 51:[52, 31] Operation: 46-15=31
Exploring Operation: 52-15=37, Resulting Numbers: [46, 37]
Generated Node #0,2,1: 51:[46, 37] Operation: 52-15=37
Exploring Operation: 52-46=6, Resulting Numbers: [15, 6]
Generated Node #0,2,2: 51:[15, 6] Operation: 52-46=6
Exploring Operation: 46+15=61, Resulting Numbers: [52, 61]
Generated Node #0,2,3: 51:[52, 61] Operation: 46+15=61
Moving to Node #0,2,2
Current State: 51:[15, 6], Operations: ['36-21=15', '52-46=6']
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,51 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,51 unequal: No Solution
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,51 unequal: No Solution
Moving to Node #0,2,3
Current State: 51:[52, 61], Operations: ['36-21=15', '46+15=61']
Exploring Operation: 52*61=3172, Resulting Numbers: [3172]
3172,51 unequal: No Solution
Exploring Operation: 61-52=9, Resulting Numbers: [9]
9,51 unequal: No Solution
Exploring Operation: 52+61=113, Resulting Numbers: [113]
113,51 unequal: No Solution
Moving to Node #0,2,0
Current State: 51:[52, 31], Operations: ['36-21=15', '46-15=31']
Exploring Operation: 52*31=1612, Resulting Numbers: [1612]
1612,51 unequal: No Solution
Exploring Operation: 52+31=83, Resulting Numbers: [83]
83,51 unequal: No Solution
Exploring Operation: 52-31=21, Resulting Numbers: [21]
21,51 unequal: No Solution
Moving to Node #0,2,1
Current State: 51:[46, 37], Operations: ['36-21=15', '52-15=37']
Exploring Operation: 46*37=1702, Resulting Numbers: [1702]
1702,51 unequal: No Solution
Exploring Operation: 46-37=9, Resulting Numbers: [9]
9,51 unequal: No Solution
Exploring Operation: 46+37=83, Resulting Numbers: [83]
83,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 51:[46, 21, 16], Operations: ['52-36=16']
Exploring Operation: 46-21=25, Resulting Numbers: [16, 25]
Generated Node #0,3,0: 51:[16, 25] Operation: 46-21=25
Exploring Operation: 46+16=62, Resulting Numbers: [21, 62]
Generated Node #0,3,1: 51:[21, 62] Operation: 46+16=62
Exploring Operation: 46+21=67, Resulting Numbers: [16, 67]
Generated Node #0,3,2: 51:[16, 67] Operation: 46+21=67
Exploring Operation: 21-16=5, Resulting Numbers: [46, 5]
Generated Node #0,3,3: 51:[46, 5] Operation: 21-16=5
Moving to Node #0,3,3
Current State: 51:[46, 5], Operations: ['52-36=16', '21-16=5']
Exploring Operation: 46+5=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[52, 36, 46, 21], Operations: []
Exploring Operation: 52-36=16, Resulting Numbers: [46, 21, 16]
Generated Node #0,3: 51:[46, 21, 16] Operation: 52-36=16
Moving to Node #0,3
Current State: 51:[46, 21, 16], Operations: ['52-36=16']
Exploring Operation: 21-16=5, Resulting Numbers: [46, 5]
Generated Node #0,3,3: 51:[46, 5] Operation: 21-16=5
Moving to Node #0,3,3
Current State: 51:[46, 5], Operations: ['52-36=16', '21-16=5']
Exploring Operation: 46+5=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826 | hs_4 | sum_heuristic |
[
99,
41,
40,
65
] | 36 | [
"99+65=164",
"164/41=4",
"40-4=36"
] | Current State: 36:[99, 41, 40, 65], Operations: []
Exploring Operation: 99+65=164, Resulting Numbers: [41, 40, 164]
Generated Node #2: [41, 40, 164] from Operation: 99+65=164
Current State: 36:[41, 40, 164], Operations: ['99+65=164']
Exploring Operation: 164/41=4, Resulting Numbers: [40, 4]
Generated Node #3: [40, 4] from Operation: 164/41=4
Current State: 36:[40, 4], Operations: ['99+65=164', '164/41=4']
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[99, 41, 40, 65], Operations: []
Exploring Operation: 99-40=59, Resulting Numbers: [41, 65, 59]
Generated Node #0,0: 36:[41, 65, 59] Operation: 99-40=59
Exploring Operation: 65-40=25, Resulting Numbers: [99, 41, 25]
Generated Node #0,1: 36:[99, 41, 25] Operation: 65-40=25
Exploring Operation: 99-41=58, Resulting Numbers: [40, 65, 58]
Generated Node #0,2: 36:[40, 65, 58] Operation: 99-41=58
Exploring Operation: 65-41=24, Resulting Numbers: [99, 40, 24]
Generated Node #0,3: 36:[99, 40, 24] Operation: 65-41=24
Exploring Operation: 99-65=34, Resulting Numbers: [41, 40, 34]
Generated Node #0,4: 36:[41, 40, 34] Operation: 99-65=34
Start Sub Search at level 1: Moving to Node #0,4
Current State: 36:[41, 40, 34], Operations: ['99-65=34']
Exploring Operation: 41-40=1, Resulting Numbers: [34, 1]
Generated Node #0,4,0: 36:[34, 1] Operation: 41-40=1
Exploring Operation: 40+34=74, Resulting Numbers: [41, 74]
Generated Node #0,4,1: 36:[41, 74] Operation: 40+34=74
Exploring Operation: 41-34=7, Resulting Numbers: [40, 7]
Generated Node #0,4,2: 36:[40, 7] Operation: 41-34=7
Exploring Operation: 41+34=75, Resulting Numbers: [40, 75]
Generated Node #0,4,3: 36:[40, 75] Operation: 41+34=75
Exploring Operation: 40-34=6, Resulting Numbers: [41, 6]
Generated Node #0,4,4: 36:[41, 6] Operation: 40-34=6
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 36:[34, 1], Operations: ['99-65=34', '41-40=1']
Exploring Operation: 34+1=35, Resulting Numbers: [35]
35,36 unequal: No Solution
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,36 unequal: No Solution
Exploring Operation: 34-1=33, Resulting Numbers: [33]
33,36 unequal: No Solution
Exploring Operation: 34/1=34, Resulting Numbers: [34]
34,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 36:[40, 7], Operations: ['99-65=34', '41-34=7']
Exploring Operation: 40-7=33, Resulting Numbers: [33]
33,36 unequal: No Solution
Exploring Operation: 40*7=280, Resulting Numbers: [280]
280,36 unequal: No Solution
Exploring Operation: 40+7=47, Resulting Numbers: [47]
47,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 36:[41, 6], Operations: ['99-65=34', '40-34=6']
Exploring Operation: 41*6=246, Resulting Numbers: [246]
246,36 unequal: No Solution
Exploring Operation: 41+6=47, Resulting Numbers: [47]
47,36 unequal: No Solution
Exploring Operation: 41-6=35, Resulting Numbers: [35]
35,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 36:[41, 74], Operations: ['99-65=34', '40+34=74']
Exploring Operation: 41+74=115, Resulting Numbers: [115]
115,36 unequal: No Solution
Exploring Operation: 41*74=3034, Resulting Numbers: [3034]
3034,36 unequal: No Solution
Exploring Operation: 74-41=33, Resulting Numbers: [33]
33,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 36:[40, 75], Operations: ['99-65=34', '41+34=75']
Exploring Operation: 40*75=3000, Resulting Numbers: [3000]
3000,36 unequal: No Solution
Exploring Operation: 40+75=115, Resulting Numbers: [115]
115,36 unequal: No Solution
Exploring Operation: 75-40=35, Resulting Numbers: [35]
35,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 36:[40, 65, 58], Operations: ['99-41=58']
Exploring Operation: 40+58=98, Resulting Numbers: [65, 98]
Generated Node #0,2,0: 36:[65, 98] Operation: 40+58=98
Exploring Operation: 40+65=105, Resulting Numbers: [58, 105]
Generated Node #0,2,1: 36:[58, 105] Operation: 40+65=105
Exploring Operation: 65-40=25, Resulting Numbers: [58, 25]
Generated Node #0,2,2: 36:[58, 25] Operation: 65-40=25
Exploring Operation: 65-58=7, Resulting Numbers: [40, 7]
Generated Node #0,2,3: 36:[40, 7] Operation: 65-58=7
Exploring Operation: 58-40=18, Resulting Numbers: [65, 18]
Generated Node #0,2,4: 36:[65, 18] Operation: 58-40=18
Moving to Node #0,2,3
Current State: 36:[40, 7], Operations: ['99-41=58', '65-58=7']
Exploring Operation: 40+7=47, Resulting Numbers: [47]
47,36 unequal: No Solution
Exploring Operation: 40*7=280, Resulting Numbers: [280]
280,36 unequal: No Solution
Exploring Operation: 40-7=33, Resulting Numbers: [33]
33,36 unequal: No Solution
Moving to Node #0,2,4
Current State: 36:[65, 18], Operations: ['99-41=58', '58-40=18']
Exploring Operation: 65-18=47, Resulting Numbers: [47]
47,36 unequal: No Solution
Exploring Operation: 65+18=83, Resulting Numbers: [83]
83,36 unequal: No Solution
Exploring Operation: 65*18=1170, Resulting Numbers: [1170]
1170,36 unequal: No Solution
Moving to Node #0,2,2
Current State: 36:[58, 25], Operations: ['99-41=58', '65-40=25']
Exploring Operation: 58*25=1450, Resulting Numbers: [1450]
1450,36 unequal: No Solution
Exploring Operation: 58+25=83, Resulting Numbers: [83]
83,36 unequal: No Solution
Exploring Operation: 58-25=33, Resulting Numbers: [33]
33,36 unequal: No Solution
Moving to Node #0,2,0
Current State: 36:[65, 98], Operations: ['99-41=58', '40+58=98']
Exploring Operation: 98-65=33, Resulting Numbers: [33]
33,36 unequal: No Solution
Exploring Operation: 65+98=163, Resulting Numbers: [163]
163,36 unequal: No Solution
Exploring Operation: 65*98=6370, Resulting Numbers: [6370]
6370,36 unequal: No Solution
Moving to Node #0,2,1
Current State: 36:[58, 105], Operations: ['99-41=58', '40+65=105']
Exploring Operation: 105-58=47, Resulting Numbers: [47]
47,36 unequal: No Solution
Exploring Operation: 58+105=163, Resulting Numbers: [163]
163,36 unequal: No Solution
Exploring Operation: 58*105=6090, Resulting Numbers: [6090]
6090,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[41, 65, 59], Operations: ['99-40=59']
Exploring Operation: 41+59=100, Resulting Numbers: [65, 100]
Generated Node #0,0,0: 36:[65, 100] Operation: 41+59=100
Exploring Operation: 65-41=24, Resulting Numbers: [59, 24]
Generated Node #0,0,1: 36:[59, 24] Operation: 65-41=24
Exploring Operation: 65-59=6, Resulting Numbers: [41, 6]
Generated Node #0,0,2: 36:[41, 6] Operation: 65-59=6
Exploring Operation: 59-41=18, Resulting Numbers: [65, 18]
Generated Node #0,0,3: 36:[65, 18] Operation: 59-41=18
Exploring Operation: 41+65=106, Resulting Numbers: [59, 106]
Generated Node #0,0,4: 36:[59, 106] Operation: 41+65=106
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 36:[41, 6], Operations: ['99-40=59', '65-59=6']
Exploring Operation: 41*6=246, Resulting Numbers: [246]
246,36 unequal: No Solution
Exploring Operation: 41-6=35, Resulting Numbers: [35]
35,36 unequal: No Solution
Exploring Operation: 41+6=47, Resulting Numbers: [47]
47,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 36:[59, 24], Operations: ['99-40=59', '65-41=24']
Exploring Operation: 59-24=35, Resulting Numbers: [35]
35,36 unequal: No Solution
Exploring Operation: 59*24=1416, Resulting Numbers: [1416]
1416,36 unequal: No Solution
Exploring Operation: 59+24=83, Resulting Numbers: [83]
83,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 36:[65, 18], Operations: ['99-40=59', '59-41=18']
Exploring Operation: 65+18=83, Resulting Numbers: [83]
83,36 unequal: No Solution
Exploring Operation: 65*18=1170, Resulting Numbers: [1170]
1170,36 unequal: No Solution
Exploring Operation: 65-18=47, Resulting Numbers: [47]
47,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 36:[65, 100], Operations: ['99-40=59', '41+59=100']
Exploring Operation: 100-65=35, Resulting Numbers: [35]
35,36 unequal: No Solution
Exploring Operation: 65+100=165, Resulting Numbers: [165]
165,36 unequal: No Solution
Exploring Operation: 65*100=6500, Resulting Numbers: [6500]
6500,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 36:[59, 106], Operations: ['99-40=59', '41+65=106']
Exploring Operation: 59+106=165, Resulting Numbers: [165]
165,36 unequal: No Solution
Exploring Operation: 106-59=47, Resulting Numbers: [47]
47,36 unequal: No Solution
Exploring Operation: 59*106=6254, Resulting Numbers: [6254]
6254,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 36:[99, 40, 24], Operations: ['65-41=24']
Exploring Operation: 99+24=123, Resulting Numbers: [40, 123]
Generated Node #0,3,0: 36:[40, 123] Operation: 99+24=123
Exploring Operation: 99-40=59, Resulting Numbers: [24, 59]
Generated Node #0,3,1: 36:[24, 59] Operation: 99-40=59
Exploring Operation: 99-24=75, Resulting Numbers: [40, 75]
Generated Node #0,3,2: 36:[40, 75] Operation: 99-24=75
Exploring Operation: 40+24=64, Resulting Numbers: [99, 64]
Generated Node #0,3,3: 36:[99, 64] Operation: 40+24=64
Exploring Operation: 40-24=16, Resulting Numbers: [99, 16]
Generated Node #0,3,4: 36:[99, 16] Operation: 40-24=16
Moving to Node #0,3,1
Current State: 36:[24, 59], Operations: ['65-41=24', '99-40=59']
Exploring Operation: 24*59=1416, Resulting Numbers: [1416]
1416,36 unequal: No Solution
Exploring Operation: 59-24=35, Resulting Numbers: [35]
35,36 unequal: No Solution
Exploring Operation: 24+59=83, Resulting Numbers: [83]
83,36 unequal: No Solution
Moving to Node #0,3,2
Current State: 36:[40, 75], Operations: ['65-41=24', '99-24=75']
Exploring Operation: 40*75=3000, Resulting Numbers: [3000]
3000,36 unequal: No Solution
Exploring Operation: 75-40=35, Resulting Numbers: [35]
35,36 unequal: No Solution
Exploring Operation: 40+75=115, Resulting Numbers: [115]
115,36 unequal: No Solution
Moving to Node #0,3,4
Current State: 36:[99, 16], Operations: ['65-41=24', '40-24=16']
Exploring Operation: 99-16=83, Resulting Numbers: [83]
83,36 unequal: No Solution
Exploring Operation: 99+16=115, Resulting Numbers: [115]
115,36 unequal: No Solution
Exploring Operation: 99*16=1584, Resulting Numbers: [1584]
1584,36 unequal: No Solution
Moving to Node #0,3,0
Current State: 36:[40, 123], Operations: ['65-41=24', '99+24=123']
Exploring Operation: 123-40=83, Resulting Numbers: [83]
83,36 unequal: No Solution
Exploring Operation: 40*123=4920, Resulting Numbers: [4920]
4920,36 unequal: No Solution
Exploring Operation: 40+123=163, Resulting Numbers: [163]
163,36 unequal: No Solution
Moving to Node #0,3,3
Current State: 36:[99, 64], Operations: ['65-41=24', '40+24=64']
Exploring Operation: 99+64=163, Resulting Numbers: [163]
163,36 unequal: No Solution
Exploring Operation: 99*64=6336, Resulting Numbers: [6336]
6336,36 unequal: No Solution
Exploring Operation: 99-64=35, Resulting Numbers: [35]
35,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[99, 41, 25], Operations: ['65-40=25']
Exploring Operation: 99+25=124, Resulting Numbers: [41, 124]
Generated Node #0,1,0: 36:[41, 124] Operation: 99+25=124
Exploring Operation: 99-41=58, Resulting Numbers: [25, 58]
Generated Node #0,1,1: 36:[25, 58] Operation: 99-41=58
Exploring Operation: 41+25=66, Resulting Numbers: [99, 66]
Generated Node #0,1,2: 36:[99, 66] Operation: 41+25=66
Exploring Operation: 99-25=74, Resulting Numbers: [41, 74]
Generated Node #0,1,3: 36:[41, 74] Operation: 99-25=74
Exploring Operation: 41-25=16, Resulting Numbers: [99, 16]
Generated Node #0,1,4: 36:[99, 16] Operation: 41-25=16
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 36:[25, 58], Operations: ['65-40=25', '99-41=58']
Exploring Operation: 58-25=33, Resulting Numbers: [33]
33,36 unequal: No Solution
Exploring Operation: 25*58=1450, Resulting Numbers: [1450]
1450,36 unequal: No Solution
Exploring Operation: 25+58=83, Resulting Numbers: [83]
83,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 36:[41, 74], Operations: ['65-40=25', '99-25=74']
Exploring Operation: 41*74=3034, Resulting Numbers: [3034]
3034,36 unequal: No Solution
Exploring Operation: 74-41=33, Resulting Numbers: [33]
33,36 unequal: No Solution
Exploring Operation: 41+74=115, Resulting Numbers: [115]
115,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 36:[99, 16], Operations: ['65-40=25', '41-25=16']
Exploring Operation: 99-16=83, Resulting Numbers: [83]
83,36 unequal: No Solution
Exploring Operation: 99*16=1584, Resulting Numbers: [1584]
1584,36 unequal: No Solution
Exploring Operation: 99+16=115, Resulting Numbers: [115]
115,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 36:[41, 124], Operations: ['65-40=25', '99+25=124']
Exploring Operation: 124-41=83, Resulting Numbers: [83]
83,36 unequal: No Solution
Exploring Operation: 41*124=5084, Resulting Numbers: [5084]
5084,36 unequal: No Solution
Exploring Operation: 41+124=165, Resulting Numbers: [165]
165,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 36:[99, 66], Operations: ['65-40=25', '41+25=66']
Exploring Operation: 99*66=6534, Resulting Numbers: [6534]
6534,36 unequal: No Solution
Exploring Operation: 99-66=33, Resulting Numbers: [33]
33,36 unequal: No Solution
Exploring Operation: 99+66=165, Resulting Numbers: [165]
165,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
14,
26,
72,
3
] | 88 | [
"14*3=42",
"72-26=46",
"42+46=88"
] | Current State: 88:[14, 26, 72, 3], Operations: []
Exploring Operation: 14*3=42, Resulting Numbers: [26, 72, 42]
Generated Node #2: [26, 72, 42] from Operation: 14*3=42
Current State: 88:[26, 72, 42], Operations: ['14*3=42']
Exploring Operation: 72-26=46, Resulting Numbers: [42, 46]
Generated Node #3: [42, 46] from Operation: 72-26=46
Current State: 88:[42, 46], Operations: ['14*3=42', '72-26=46']
Exploring Operation: 42+46=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[14, 26, 72, 3], Operations: []
Exploring Operation: 14+72=86, Resulting Numbers: [26, 3, 86]
Generated Node #0,0: 88:[26, 3, 86] Operation: 14+72=86
Exploring Operation: 72-26=46, Resulting Numbers: [14, 3, 46]
Generated Node #0,1: 88:[14, 3, 46] Operation: 72-26=46
Exploring Operation: 26+72=98, Resulting Numbers: [14, 3, 98]
Generated Node #0,2: 88:[14, 3, 98] Operation: 26+72=98
Exploring Operation: 72/3=24, Resulting Numbers: [14, 26, 24]
Generated Node #0,3: 88:[14, 26, 24] Operation: 72/3=24
Exploring Operation: 26-14=12, Resulting Numbers: [72, 3, 12]
Generated Node #0,4: 88:[72, 3, 12] Operation: 26-14=12
Start Sub Search at level 1: Moving to Node #0,1
Current State: 88:[14, 3, 46], Operations: ['72-26=46']
Exploring Operation: 46-3=43, Resulting Numbers: [14, 43]
Generated Node #0,1,0: 88:[14, 43] Operation: 46-3=43
Exploring Operation: 14-3=11, Resulting Numbers: [46, 11]
Generated Node #0,1,1: 88:[46, 11] Operation: 14-3=11
Exploring Operation: 14+3=17, Resulting Numbers: [46, 17]
Generated Node #0,1,2: 88:[46, 17] Operation: 14+3=17
Exploring Operation: 14*3=42, Resulting Numbers: [46, 42]
Generated Node #0,1,3: 88:[46, 42] Operation: 14*3=42
Exploring Operation: 3+46=49, Resulting Numbers: [14, 49]
Generated Node #0,1,4: 88:[14, 49] Operation: 3+46=49
Moving to Node #0,1,1
Current State: 88:[46, 11], Operations: ['72-26=46', '14-3=11']
Exploring Operation: 46*11=506, Resulting Numbers: [506]
506,88 unequal: No Solution
Exploring Operation: 46+11=57, Resulting Numbers: [57]
57,88 unequal: No Solution
Exploring Operation: 46-11=35, Resulting Numbers: [35]
35,88 unequal: No Solution
Moving to Node #0,1,3
Current State: 88:[46, 42], Operations: ['72-26=46', '14*3=42']
Exploring Operation: 46*42=1932, Resulting Numbers: [1932]
1932,88 unequal: No Solution
Exploring Operation: 46-42=4, Resulting Numbers: [4]
4,88 unequal: No Solution
Exploring Operation: 46+42=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[14, 26, 72, 3], Operations: []
Exploring Operation: 72-26=46, Resulting Numbers: [14, 3, 46]
Generated Node #0,1: 88:[14, 3, 46] Operation: 72-26=46
Moving to Node #0,1
Current State: 88:[14, 3, 46], Operations: ['72-26=46']
Exploring Operation: 14*3=42, Resulting Numbers: [46, 42]
Generated Node #0,1,3: 88:[46, 42] Operation: 14*3=42
Moving to Node #0,1,3
Current State: 88:[46, 42], Operations: ['72-26=46', '14*3=42']
Exploring Operation: 46+42=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | sum_heuristic |
[
66,
50,
7,
1
] | 24 | [
"66-50=16",
"7+1=8",
"16+8=24"
] | Current State: 24:[66, 50, 7, 1], Operations: []
Exploring Operation: 66-50=16, Resulting Numbers: [7, 1, 16]
Generated Node #2: [7, 1, 16] from Operation: 66-50=16
Current State: 24:[7, 1, 16], Operations: ['66-50=16']
Exploring Operation: 7+1=8, Resulting Numbers: [16, 8]
Generated Node #3: [16, 8] from Operation: 7+1=8
Current State: 24:[16, 8], Operations: ['66-50=16', '7+1=8']
Exploring Operation: 16+8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[66, 50, 7, 1], Operations: []
Exploring Operation: 66-50=16, Resulting Numbers: [7, 1, 16]
Generated Node #0,0: 24:[7, 1, 16] Operation: 66-50=16
Exploring Operation: 50-7=43, Resulting Numbers: [66, 1, 43]
Generated Node #0,1: 24:[66, 1, 43] Operation: 50-7=43
Exploring Operation: 66-1=65, Resulting Numbers: [50, 7, 65]
Generated Node #0,2: 24:[50, 7, 65] Operation: 66-1=65
Exploring Operation: 66-7=59, Resulting Numbers: [50, 1, 59]
Generated Node #0,3: 24:[50, 1, 59] Operation: 66-7=59
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[7, 1, 16], Operations: ['66-50=16']
Exploring Operation: 16-7=9, Resulting Numbers: [1, 9]
Generated Node #0,0,0: 24:[1, 9] Operation: 16-7=9
Exploring Operation: 7+1=8, Resulting Numbers: [16, 8]
Generated Node #0,0,1: 24:[16, 8] Operation: 7+1=8
Exploring Operation: 7-1=6, Resulting Numbers: [16, 6]
Generated Node #0,0,2: 24:[16, 6] Operation: 7-1=6
Exploring Operation: 7+16=23, Resulting Numbers: [1, 23]
Generated Node #0,0,3: 24:[1, 23] Operation: 7+16=23
Moving to Node #0,0,0
Current State: 24:[1, 9], Operations: ['66-50=16', '16-7=9']
Exploring Operation: 9-1=8, Resulting Numbers: [8]
8,24 unequal: No Solution
Exploring Operation: 1+9=10, Resulting Numbers: [10]
10,24 unequal: No Solution
Exploring Operation: 1*9=9, Resulting Numbers: [9]
9,24 unequal: No Solution
Exploring Operation: 9/1=9, Resulting Numbers: [9]
9,24 unequal: No Solution
Moving to Node #0,0,3
Current State: 24:[1, 23], Operations: ['66-50=16', '7+16=23']
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,24 unequal: No Solution
Exploring Operation: 1+23=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[66, 50, 7, 1], Operations: []
Exploring Operation: 66-50=16, Resulting Numbers: [7, 1, 16]
Generated Node #0,0: 24:[7, 1, 16] Operation: 66-50=16
Moving to Node #0,0
Current State: 24:[7, 1, 16], Operations: ['66-50=16']
Exploring Operation: 7+16=23, Resulting Numbers: [1, 23]
Generated Node #0,0,3: 24:[1, 23] Operation: 7+16=23
Moving to Node #0,0,3
Current State: 24:[1, 23], Operations: ['66-50=16', '7+16=23']
Exploring Operation: 1+23=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
90,
89,
15,
99
] | 84 | [
"90-89=1",
"99-15=84",
"1*84=84"
] | Current State: 84:[90, 89, 15, 99], Operations: []
Exploring Operation: 90-89=1, Resulting Numbers: [15, 99, 1]
Generated Node #2: [15, 99, 1] from Operation: 90-89=1
Current State: 84:[15, 99, 1], Operations: ['90-89=1']
Exploring Operation: 99-15=84, Resulting Numbers: [1, 84]
Generated Node #3: [1, 84] from Operation: 99-15=84
Current State: 84:[1, 84], Operations: ['90-89=1', '99-15=84']
Exploring Operation: 1*84=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[90, 89, 15, 99], Operations: []
Exploring Operation: 99-90=9, Resulting Numbers: [89, 15, 9]
Generated Node #0,0: 84:[89, 15, 9] Operation: 99-90=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[89, 15, 9], Operations: ['99-90=9']
Exploring Operation: 89-9=80, Resulting Numbers: [15, 80]
Generated Node #0,0,0: 84:[15, 80] Operation: 89-9=80
Moving to Node #0,0,0
Current State: 84:[15, 80], Operations: ['99-90=9', '89-9=80']
Exploring Operation: 15+80=95, Resulting Numbers: [95]
95,84 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 |
[
21,
57,
73,
59
] | 38 | [
"73-59=14",
"57*14=798",
"798/21=38"
] | Current State: 38:[21, 57, 73, 59], Operations: []
Exploring Operation: 73-59=14, Resulting Numbers: [21, 57, 14]
Generated Node #2: [21, 57, 14] from Operation: 73-59=14
Current State: 38:[21, 57, 14], Operations: ['73-59=14']
Exploring Operation: 57*14=798, Resulting Numbers: [21, 798]
Generated Node #3: [21, 798] from Operation: 57*14=798
Current State: 38:[21, 798], Operations: ['73-59=14', '57*14=798']
Exploring Operation: 798/21=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[21, 57, 73, 59], Operations: []
Exploring Operation: 59-57=2, Resulting Numbers: [21, 73, 2]
Generated Node #0,0: 38:[21, 73, 2] Operation: 59-57=2
Exploring Operation: 73-57=16, Resulting Numbers: [21, 59, 16]
Generated Node #0,1: 38:[21, 59, 16] Operation: 73-57=16
Exploring Operation: 73-59=14, Resulting Numbers: [21, 57, 14]
Generated Node #0,2: 38:[21, 57, 14] Operation: 73-59=14
Moving to Node #0,1
Current State: 38:[21, 59, 16], Operations: ['73-57=16']
Exploring Operation: 21+16=37, Resulting Numbers: [59, 37]
Generated Node #0,1,0: 38:[59, 37] Operation: 21+16=37
Exploring Operation: 59-21=38, Resulting Numbers: [16, 38]
Generated Node #0,1,1: 38:[16, 38] Operation: 59-21=38
Exploring Operation: 59-16=43, Resulting Numbers: [21, 43]
Generated Node #0,1,2: 38:[21, 43] Operation: 59-16=43
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 38:[16, 38], Operations: ['73-57=16', '59-21=38']
Exploring Operation: 16*38=608, Resulting Numbers: [608]
608,38 unequal: No Solution
Exploring Operation: 16+38=54, Resulting Numbers: [54]
54,38 unequal: No Solution
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,38 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 #0,1,2
Current State: 38:[21, 43], Operations: ['73-57=16', '59-16=43']
Exploring Operation: 43-21=22, Resulting Numbers: [22]
22,38 unequal: No Solution
Exploring Operation: 21*43=903, Resulting Numbers: [903]
903,38 unequal: No Solution
Exploring Operation: 21+43=64, Resulting Numbers: [64]
64,38 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 #0,1,0
Current State: 38:[59, 37], Operations: ['73-57=16', '21+16=37']
Exploring Operation: 59+37=96, Resulting Numbers: [96]
96,38 unequal: No Solution
Exploring Operation: 59-37=22, Resulting Numbers: [22]
22,38 unequal: No Solution
Exploring Operation: 59*37=2183, Resulting Numbers: [2183]
2183,38 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: 38:[21, 57, 14], Operations: ['73-59=14']
Exploring Operation: 21+14=35, Resulting Numbers: [57, 35]
Generated Node #0,2,0: 38:[57, 35] Operation: 21+14=35
Exploring Operation: 57-21=36, Resulting Numbers: [14, 36]
Generated Node #0,2,1: 38:[14, 36] Operation: 57-21=36
Exploring Operation: 57-14=43, Resulting Numbers: [21, 43]
Generated Node #0,2,2: 38:[21, 43] Operation: 57-14=43
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 38:[14, 36], Operations: ['73-59=14', '57-21=36']
Exploring Operation: 36-14=22, Resulting Numbers: [22]
22,38 unequal: No Solution
Exploring Operation: 14+36=50, Resulting Numbers: [50]
50,38 unequal: No Solution
Exploring Operation: 14*36=504, Resulting Numbers: [504]
504,38 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 #0,2,2
Current State: 38:[21, 43], Operations: ['73-59=14', '57-14=43']
Exploring Operation: 43-21=22, Resulting Numbers: [22]
22,38 unequal: No Solution
Exploring Operation: 21*43=903, Resulting Numbers: [903]
903,38 unequal: No Solution
Exploring Operation: 21+43=64, Resulting Numbers: [64]
64,38 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 #0,2,0
Current State: 38:[57, 35], Operations: ['73-59=14', '21+14=35']
Exploring Operation: 57-35=22, Resulting Numbers: [22]
22,38 unequal: No Solution
Exploring Operation: 57+35=92, Resulting Numbers: [92]
92,38 unequal: No Solution
Exploring Operation: 57*35=1995, Resulting Numbers: [1995]
1995,38 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: 38:[21, 73, 2], Operations: ['59-57=2']
Exploring Operation: 21-2=19, Resulting Numbers: [73, 19]
Generated Node #0,0,0: 38:[73, 19] Operation: 21-2=19
Exploring Operation: 73-21=52, Resulting Numbers: [2, 52]
Generated Node #0,0,1: 38:[2, 52] Operation: 73-21=52
Exploring Operation: 73-2=71, Resulting Numbers: [21, 71]
Generated Node #0,0,2: 38:[21, 71] Operation: 73-2=71
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 38:[2, 52], Operations: ['59-57=2', '73-21=52']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,38 unequal: No Solution
Exploring Operation: 2+52=54, Resulting Numbers: [54]
54,38 unequal: No Solution
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,38 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 #0,0,0
Current State: 38:[73, 19], Operations: ['59-57=2', '21-2=19']
Exploring Operation: 73+19=92, Resulting Numbers: [92]
92,38 unequal: No Solution
Exploring Operation: 73-19=54, Resulting Numbers: [54]
54,38 unequal: No Solution
Exploring Operation: 73*19=1387, Resulting Numbers: [1387]
1387,38 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 #0,0,2
Current State: 38:[21, 71], Operations: ['59-57=2', '73-2=71']
Exploring Operation: 21+71=92, Resulting Numbers: [92]
92,38 unequal: No Solution
Exploring Operation: 21*71=1491, Resulting Numbers: [1491]
1491,38 unequal: No Solution
Exploring Operation: 71-21=50, Resulting Numbers: [50]
50,38 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 |
[
89,
85,
89,
10
] | 85 | [
"89-89=0",
"10*0=0",
"85+0=85"
] | Current State: 85:[89, 85, 89, 10], Operations: []
Exploring Operation: 89-89=0, Resulting Numbers: [85, 10, 0]
Generated Node #2: [85, 10, 0] from Operation: 89-89=0
Current State: 85:[85, 10, 0], Operations: ['89-89=0']
Exploring Operation: 10*0=0, Resulting Numbers: [85, 0]
Generated Node #3: [85, 0] from Operation: 10*0=0
Current State: 85:[85, 0], Operations: ['89-89=0', '10*0=0']
Exploring Operation: 85+0=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[89, 85, 89, 10], Operations: []
Exploring Operation: 89/89=1, Resulting Numbers: [85, 10, 1]
Generated Node #0,0: 85:[85, 10, 1] Operation: 89/89=1
Exploring Operation: 89-85=4, Resulting Numbers: [89, 10, 4]
Generated Node #0,1: 85:[89, 10, 4] Operation: 89-85=4
Moving to Node #0,0
Current State: 85:[85, 10, 1], Operations: ['89/89=1']
Exploring Operation: 10-1=9, Resulting Numbers: [85, 9]
Generated Node #0,0,0: 85:[85, 9] Operation: 10-1=9
Exploring Operation: 85*1=85, Resulting Numbers: [10, 85]
Generated Node #0,0,1: 85:[10, 85] Operation: 85*1=85
Moving to Node #0,1
Current State: 85:[89, 10, 4], Operations: ['89-85=4']
Exploring Operation: 10-4=6, Resulting Numbers: [89, 6]
Generated Node #0,1,0: 85:[89, 6] Operation: 10-4=6
Exploring Operation: 89-4=85, Resulting Numbers: [10, 85]
Generated Node #0,1,1: 85:[10, 85] Operation: 89-4=85
Moving to Node #0,0,0
Current State: 85:[85, 9], Operations: ['89/89=1', '10-1=9']
Exploring Operation: 85-9=76, Resulting Numbers: [76]
76,85 unequal: No Solution
Exploring Operation: 85+9=94, Resulting Numbers: [94]
94,85 unequal: No Solution
Moving to Node #0,1,0
Current State: 85:[89, 6], Operations: ['89-85=4', '10-4=6']
Exploring Operation: 89-6=83, Resulting Numbers: [83]
83,85 unequal: No Solution
Exploring Operation: 89+6=95, Resulting Numbers: [95]
95,85 unequal: No Solution
Moving to Node #0,0,1
Current State: 85:[10, 85], Operations: ['89/89=1', '85*1=85']
Exploring Operation: 10+85=95, Resulting Numbers: [95]
95,85 unequal: No Solution
Exploring Operation: 85-10=75, Resulting Numbers: [75]
75,85 unequal: No Solution
Moving to Node #0,1,1
Current State: 85:[10, 85], Operations: ['89-85=4', '89-4=85']
Exploring Operation: 85-10=75, Resulting Numbers: [75]
75,85 unequal: No Solution
Exploring Operation: 10+85=95, Resulting Numbers: [95]
95,85 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
11,
15,
8,
2
] | 58 | [
"11*8=88",
"15*2=30",
"88-30=58"
] | Current State: 58:[11, 15, 8, 2], Operations: []
Exploring Operation: 11*8=88, Resulting Numbers: [15, 2, 88]
Generated Node #2: [15, 2, 88] from Operation: 11*8=88
Current State: 58:[15, 2, 88], Operations: ['11*8=88']
Exploring Operation: 15*2=30, Resulting Numbers: [88, 30]
Generated Node #3: [88, 30] from Operation: 15*2=30
Current State: 58:[88, 30], Operations: ['11*8=88', '15*2=30']
Exploring Operation: 88-30=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[11, 15, 8, 2], Operations: []
Exploring Operation: 15-11=4, Resulting Numbers: [8, 2, 4]
Generated Node #0,0: 58:[8, 2, 4] Operation: 15-11=4
Moving to Node #0,0
Current State: 58:[8, 2, 4], Operations: ['15-11=4']
Exploring Operation: 8/4=2, Resulting Numbers: [2, 2]
Generated Node #0,0,0: 58:[2, 2] Operation: 8/4=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[2, 2], Operations: ['15-11=4', '8/4=2']
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,58 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 |
[
32,
42,
74,
50
] | 49 | [
"32+42=74",
"74/74=1",
"50-1=49"
] | Current State: 49:[32, 42, 74, 50], Operations: []
Exploring Operation: 32+42=74, Resulting Numbers: [74, 50, 74]
Generated Node #2: [74, 50, 74] from Operation: 32+42=74
Current State: 49:[74, 50, 74], Operations: ['32+42=74']
Exploring Operation: 74/74=1, Resulting Numbers: [50, 1]
Generated Node #3: [50, 1] from Operation: 74/74=1
Current State: 49:[50, 1], Operations: ['32+42=74', '74/74=1']
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[32, 42, 74, 50], Operations: []
Exploring Operation: 74-42=32, Resulting Numbers: [32, 50, 32]
Generated Node #0,0: 49:[32, 50, 32] Operation: 74-42=32
Exploring Operation: 74-32=42, Resulting Numbers: [42, 50, 42]
Generated Node #0,1: 49:[42, 50, 42] Operation: 74-32=42
Exploring Operation: 42-32=10, Resulting Numbers: [74, 50, 10]
Generated Node #0,2: 49:[74, 50, 10] Operation: 42-32=10
Start Sub Search at level 1: Moving to Node #0,1
Current State: 49:[42, 50, 42], Operations: ['74-32=42']
Exploring Operation: 50-42=8, Resulting Numbers: [42, 8]
Generated Node #0,1,0: 49:[42, 8] Operation: 50-42=8
Exploring Operation: 42/42=1, Resulting Numbers: [50, 1]
Generated Node #0,1,1: 49:[50, 1] Operation: 42/42=1
Exploring Operation: 42-42=0, Resulting Numbers: [50, 0]
Generated Node #0,1,2: 49:[50, 0] Operation: 42-42=0
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 49:[50, 1], Operations: ['74-32=42', '42/42=1']
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[32, 42, 74, 50], Operations: []
Exploring Operation: 74-32=42, Resulting Numbers: [42, 50, 42]
Generated Node #0,1: 49:[42, 50, 42] Operation: 74-32=42
Moving to Node #0,1
Current State: 49:[42, 50, 42], Operations: ['74-32=42']
Exploring Operation: 42/42=1, Resulting Numbers: [50, 1]
Generated Node #0,1,1: 49:[50, 1] Operation: 42/42=1
Moving to Node #0,1,1
Current State: 49:[50, 1], Operations: ['74-32=42', '42/42=1']
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
55,
16,
2,
96
] | 46 | [
"55+16=71",
"2*71=142",
"142-96=46"
] | Current State: 46:[55, 16, 2, 96], Operations: []
Exploring Operation: 55+16=71, Resulting Numbers: [2, 96, 71]
Generated Node #2: [2, 96, 71] from Operation: 55+16=71
Current State: 46:[2, 96, 71], Operations: ['55+16=71']
Exploring Operation: 2*71=142, Resulting Numbers: [96, 142]
Generated Node #3: [96, 142] from Operation: 2*71=142
Current State: 46:[96, 142], Operations: ['55+16=71', '2*71=142']
Exploring Operation: 142-96=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[55, 16, 2, 96], Operations: []
Exploring Operation: 96/2=48, Resulting Numbers: [55, 16, 48]
Generated Node #0,0: 46:[55, 16, 48] Operation: 96/2=48
Exploring Operation: 96-16=80, Resulting Numbers: [55, 2, 80]
Generated Node #0,1: 46:[55, 2, 80] Operation: 96-16=80
Exploring Operation: 96-55=41, Resulting Numbers: [16, 2, 41]
Generated Node #0,2: 46:[16, 2, 41] Operation: 96-55=41
Exploring Operation: 96/16=6, Resulting Numbers: [55, 2, 6]
Generated Node #0,3: 46:[55, 2, 6] Operation: 96/16=6
Start Sub Search at level 1: Moving to Node #0,2
Current State: 46:[16, 2, 41], Operations: ['96-55=41']
Exploring Operation: 16+2=18, Resulting Numbers: [41, 18]
Generated Node #0,2,0: 46:[41, 18] Operation: 16+2=18
Exploring Operation: 41-16=25, Resulting Numbers: [2, 25]
Generated Node #0,2,1: 46:[2, 25] Operation: 41-16=25
Exploring Operation: 16/2=8, Resulting Numbers: [41, 8]
Generated Node #0,2,2: 46:[41, 8] Operation: 16/2=8
Exploring Operation: 2+41=43, Resulting Numbers: [16, 43]
Generated Node #0,2,3: 46:[16, 43] Operation: 2+41=43
Moving to Node #0,2,1
Current State: 46:[2, 25], Operations: ['96-55=41', '41-16=25']
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,46 unequal: No Solution
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,46 unequal: No Solution
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Moving to Node #0,2,3
Current State: 46:[16, 43], Operations: ['96-55=41', '2+41=43']
Exploring Operation: 43-16=27, Resulting Numbers: [27]
27,46 unequal: No Solution
Exploring Operation: 16*43=688, Resulting Numbers: [688]
688,46 unequal: No Solution
Exploring Operation: 16+43=59, Resulting Numbers: [59]
59,46 unequal: No Solution
Moving to Node #0,2,0
Current State: 46:[41, 18], Operations: ['96-55=41', '16+2=18']
Exploring Operation: 41*18=738, Resulting Numbers: [738]
738,46 unequal: No Solution
Exploring Operation: 41+18=59, Resulting Numbers: [59]
59,46 unequal: No Solution
Exploring Operation: 41-18=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Moving to Node #0,2,2
Current State: 46:[41, 8], Operations: ['96-55=41', '16/2=8']
Exploring Operation: 41+8=49, Resulting Numbers: [49]
49,46 unequal: No Solution
Exploring Operation: 41*8=328, Resulting Numbers: [328]
328,46 unequal: No Solution
Exploring Operation: 41-8=33, Resulting Numbers: [33]
33,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 46:[55, 2, 6], Operations: ['96/16=6']
Exploring Operation: 55-6=49, Resulting Numbers: [2, 49]
Generated Node #0,3,0: 46:[2, 49] Operation: 55-6=49
Exploring Operation: 6/2=3, Resulting Numbers: [55, 3]
Generated Node #0,3,1: 46:[55, 3] Operation: 6/2=3
Exploring Operation: 6-2=4, Resulting Numbers: [55, 4]
Generated Node #0,3,2: 46:[55, 4] Operation: 6-2=4
Exploring Operation: 55-2=53, Resulting Numbers: [6, 53]
Generated Node #0,3,3: 46:[6, 53] Operation: 55-2=53
Moving to Node #0,3,0
Current State: 46:[2, 49], Operations: ['96/16=6', '55-6=49']
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,46 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,46 unequal: No Solution
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,46 unequal: No Solution
Moving to Node #0,3,1
Current State: 46:[55, 3], Operations: ['96/16=6', '6/2=3']
Exploring Operation: 55*3=165, Resulting Numbers: [165]
165,46 unequal: No Solution
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,46 unequal: No Solution
Exploring Operation: 55+3=58, Resulting Numbers: [58]
58,46 unequal: No Solution
Moving to Node #0,3,3
Current State: 46:[6, 53], Operations: ['96/16=6', '55-2=53']
Exploring Operation: 6+53=59, Resulting Numbers: [59]
59,46 unequal: No Solution
Exploring Operation: 6*53=318, Resulting Numbers: [318]
318,46 unequal: No Solution
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,46 unequal: No Solution
Moving to Node #0,3,2
Current State: 46:[55, 4], Operations: ['96/16=6', '6-2=4']
Exploring Operation: 55+4=59, Resulting Numbers: [59]
59,46 unequal: No Solution
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,46 unequal: No Solution
Exploring Operation: 55*4=220, Resulting Numbers: [220]
220,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[55, 16, 48], Operations: ['96/2=48']
Exploring Operation: 48/16=3, Resulting Numbers: [55, 3]
Generated Node #0,0,0: 46:[55, 3] Operation: 48/16=3
Exploring Operation: 55-48=7, Resulting Numbers: [16, 7]
Generated Node #0,0,1: 46:[16, 7] Operation: 55-48=7
Exploring Operation: 55-16=39, Resulting Numbers: [48, 39]
Generated Node #0,0,2: 46:[48, 39] Operation: 55-16=39
Exploring Operation: 48-16=32, Resulting Numbers: [55, 32]
Generated Node #0,0,3: 46:[55, 32] Operation: 48-16=32
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 46:[48, 39], Operations: ['96/2=48', '55-16=39']
Exploring Operation: 48+39=87, Resulting Numbers: [87]
87,46 unequal: No Solution
Exploring Operation: 48*39=1872, Resulting Numbers: [1872]
1872,46 unequal: No Solution
Exploring Operation: 48-39=9, Resulting Numbers: [9]
9,46 unequal: No Solution
No 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: 46:[55, 3], Operations: ['96/2=48', '48/16=3']
Exploring Operation: 55+3=58, Resulting Numbers: [58]
58,46 unequal: No Solution
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,46 unequal: No Solution
Exploring Operation: 55*3=165, Resulting Numbers: [165]
165,46 unequal: No Solution
No 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: 46:[16, 7], Operations: ['96/2=48', '55-48=7']
Exploring Operation: 16*7=112, Resulting Numbers: [112]
112,46 unequal: No Solution
Exploring Operation: 16+7=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,46 unequal: No Solution
No 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: 46:[55, 32], Operations: ['96/2=48', '48-16=32']
Exploring Operation: 55-32=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 55+32=87, Resulting Numbers: [87]
87,46 unequal: No Solution
Exploring Operation: 55*32=1760, Resulting Numbers: [1760]
1760,46 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: 46:[55, 2, 80], Operations: ['96-16=80']
Exploring Operation: 55-2=53, Resulting Numbers: [80, 53]
Generated Node #0,1,0: 46:[80, 53] Operation: 55-2=53
Exploring Operation: 80-55=25, Resulting Numbers: [2, 25]
Generated Node #0,1,1: 46:[2, 25] Operation: 80-55=25
Exploring Operation: 80/2=40, Resulting Numbers: [55, 40]
Generated Node #0,1,2: 46:[55, 40] Operation: 80/2=40
Exploring Operation: 80-2=78, Resulting Numbers: [55, 78]
Generated Node #0,1,3: 46:[55, 78] Operation: 80-2=78
Moving to Node #0,1,1
Current State: 46:[2, 25], Operations: ['96-16=80', '80-55=25']
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,46 unequal: No Solution
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,46 unequal: No Solution
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Moving to Node #0,1,2
Current State: 46:[55, 40], Operations: ['96-16=80', '80/2=40']
Exploring Operation: 55+40=95, Resulting Numbers: [95]
95,46 unequal: No Solution
Exploring Operation: 55*40=2200, Resulting Numbers: [2200]
2200,46 unequal: No Solution
Exploring Operation: 55-40=15, Resulting Numbers: [15]
15,46 unequal: No Solution
Moving to Node #0,1,3
Current State: 46:[55, 78], Operations: ['96-16=80', '80-2=78']
Exploring Operation: 78-55=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 55*78=4290, Resulting Numbers: [4290]
4290,46 unequal: No Solution
Exploring Operation: 55+78=133, Resulting Numbers: [133]
133,46 unequal: No Solution
Moving to Node #0,1,0
Current State: 46:[80, 53], Operations: ['96-16=80', '55-2=53']
Exploring Operation: 80-53=27, Resulting Numbers: [27]
27,46 unequal: No Solution
Exploring Operation: 80*53=4240, Resulting Numbers: [4240]
4240,46 unequal: No Solution
Exploring Operation: 80+53=133, Resulting Numbers: [133]
133,46 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 |
[
52,
62,
80,
3
] | 14 | [
"52*3=156",
"62+80=142",
"156-142=14"
] | Current State: 14:[52, 62, 80, 3], Operations: []
Exploring Operation: 52*3=156, Resulting Numbers: [62, 80, 156]
Generated Node #2: [62, 80, 156] from Operation: 52*3=156
Current State: 14:[62, 80, 156], Operations: ['52*3=156']
Exploring Operation: 62+80=142, Resulting Numbers: [156, 142]
Generated Node #3: [156, 142] from Operation: 62+80=142
Current State: 14:[156, 142], Operations: ['52*3=156', '62+80=142']
Exploring Operation: 156-142=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[52, 62, 80, 3], Operations: []
Exploring Operation: 62-3=59, Resulting Numbers: [52, 80, 59]
Generated Node #0,0: 14:[52, 80, 59] Operation: 62-3=59
Exploring Operation: 62-52=10, Resulting Numbers: [80, 3, 10]
Generated Node #0,1: 14:[80, 3, 10] Operation: 62-52=10
Exploring Operation: 80-62=18, Resulting Numbers: [52, 3, 18]
Generated Node #0,2: 14:[52, 3, 18] Operation: 80-62=18
Exploring Operation: 80-52=28, Resulting Numbers: [62, 3, 28]
Generated Node #0,3: 14:[62, 3, 28] Operation: 80-52=28
Exploring Operation: 52-3=49, Resulting Numbers: [62, 80, 49]
Generated Node #0,4: 14:[62, 80, 49] Operation: 52-3=49
Start Sub Search at level 1: Moving to Node #0,2
Current State: 14:[52, 3, 18], Operations: ['80-62=18']
Exploring Operation: 52-18=34, Resulting Numbers: [3, 34]
Generated Node #0,2,0: 14:[3, 34] Operation: 52-18=34
Exploring Operation: 18/3=6, Resulting Numbers: [52, 6]
Generated Node #0,2,1: 14:[52, 6] Operation: 18/3=6
Exploring Operation: 18-3=15, Resulting Numbers: [52, 15]
Generated Node #0,2,2: 14:[52, 15] Operation: 18-3=15
Exploring Operation: 52-3=49, Resulting Numbers: [18, 49]
Generated Node #0,2,3: 14:[18, 49] Operation: 52-3=49
Exploring Operation: 52+3=55, Resulting Numbers: [18, 55]
Generated Node #0,2,4: 14:[18, 55] Operation: 52+3=55
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 14:[3, 34], Operations: ['80-62=18', '52-18=34']
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,14 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,14 unequal: No Solution
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,14 unequal: No Solution
No 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: 14:[52, 6], Operations: ['80-62=18', '18/3=6']
Exploring Operation: 52-6=46, Resulting Numbers: [46]
46,14 unequal: No Solution
Exploring Operation: 52*6=312, Resulting Numbers: [312]
312,14 unequal: No Solution
Exploring Operation: 52+6=58, Resulting Numbers: [58]
58,14 unequal: No Solution
No 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: 14:[52, 15], Operations: ['80-62=18', '18-3=15']
Exploring Operation: 52-15=37, Resulting Numbers: [37]
37,14 unequal: No Solution
Exploring Operation: 52*15=780, Resulting Numbers: [780]
780,14 unequal: No Solution
Exploring Operation: 52+15=67, Resulting Numbers: [67]
67,14 unequal: No Solution
No 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: 14:[18, 49], Operations: ['80-62=18', '52-3=49']
Exploring Operation: 49-18=31, Resulting Numbers: [31]
31,14 unequal: No Solution
Exploring Operation: 18*49=882, Resulting Numbers: [882]
882,14 unequal: No Solution
Exploring Operation: 18+49=67, Resulting Numbers: [67]
67,14 unequal: No Solution
No 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: 14:[18, 55], Operations: ['80-62=18', '52+3=55']
Exploring Operation: 18*55=990, Resulting Numbers: [990]
990,14 unequal: No Solution
Exploring Operation: 18+55=73, Resulting Numbers: [73]
73,14 unequal: No Solution
Exploring Operation: 55-18=37, Resulting Numbers: [37]
37,14 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: 14:[62, 3, 28], Operations: ['80-52=28']
Exploring Operation: 3+28=31, Resulting Numbers: [62, 31]
Generated Node #0,3,0: 14:[62, 31] Operation: 3+28=31
Exploring Operation: 62+3=65, Resulting Numbers: [28, 65]
Generated Node #0,3,1: 14:[28, 65] Operation: 62+3=65
Exploring Operation: 28-3=25, Resulting Numbers: [62, 25]
Generated Node #0,3,2: 14:[62, 25] Operation: 28-3=25
Exploring Operation: 62-3=59, Resulting Numbers: [28, 59]
Generated Node #0,3,3: 14:[28, 59] Operation: 62-3=59
Exploring Operation: 62-28=34, Resulting Numbers: [3, 34]
Generated Node #0,3,4: 14:[3, 34] Operation: 62-28=34
Moving to Node #0,3,4
Current State: 14:[3, 34], Operations: ['80-52=28', '62-28=34']
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,14 unequal: No Solution
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,14 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,14 unequal: No Solution
Moving to Node #0,3,3
Current State: 14:[28, 59], Operations: ['80-52=28', '62-3=59']
Exploring Operation: 28+59=87, Resulting Numbers: [87]
87,14 unequal: No Solution
Exploring Operation: 28*59=1652, Resulting Numbers: [1652]
1652,14 unequal: No Solution
Exploring Operation: 59-28=31, Resulting Numbers: [31]
31,14 unequal: No Solution
Moving to Node #0,3,2
Current State: 14:[62, 25], Operations: ['80-52=28', '28-3=25']
Exploring Operation: 62-25=37, Resulting Numbers: [37]
37,14 unequal: No Solution
Exploring Operation: 62*25=1550, Resulting Numbers: [1550]
1550,14 unequal: No Solution
Exploring Operation: 62+25=87, Resulting Numbers: [87]
87,14 unequal: No Solution
Moving to Node #0,3,0
Current State: 14:[62, 31], Operations: ['80-52=28', '3+28=31']
Exploring Operation: 62+31=93, Resulting Numbers: [93]
93,14 unequal: No Solution
Exploring Operation: 62-31=31, Resulting Numbers: [31]
31,14 unequal: No Solution
Exploring Operation: 62*31=1922, Resulting Numbers: [1922]
1922,14 unequal: No Solution
Exploring Operation: 62/31=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Moving to Node #0,3,1
Current State: 14:[28, 65], Operations: ['80-52=28', '62+3=65']
Exploring Operation: 65-28=37, Resulting Numbers: [37]
37,14 unequal: No Solution
Exploring Operation: 28+65=93, Resulting Numbers: [93]
93,14 unequal: No Solution
Exploring Operation: 28*65=1820, Resulting Numbers: [1820]
1820,14 unequal: No Solution
No 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: 14:[80, 3, 10], Operations: ['62-52=10']
Exploring Operation: 10-3=7, Resulting Numbers: [80, 7]
Generated Node #0,1,0: 14:[80, 7] Operation: 10-3=7
Exploring Operation: 80/10=8, Resulting Numbers: [3, 8]
Generated Node #0,1,1: 14:[3, 8] Operation: 80/10=8
Exploring Operation: 80-3=77, Resulting Numbers: [10, 77]
Generated Node #0,1,2: 14:[10, 77] Operation: 80-3=77
Exploring Operation: 80-10=70, Resulting Numbers: [3, 70]
Generated Node #0,1,3: 14:[3, 70] Operation: 80-10=70
Exploring Operation: 3+10=13, Resulting Numbers: [80, 13]
Generated Node #0,1,4: 14:[80, 13] Operation: 3+10=13
Moving to Node #0,1,1
Current State: 14:[3, 8], Operations: ['62-52=10', '80/10=8']
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,14 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,14 unequal: No Solution
Moving to Node #0,1,3
Current State: 14:[3, 70], Operations: ['62-52=10', '80-10=70']
Exploring Operation: 3*70=210, Resulting Numbers: [210]
210,14 unequal: No Solution
Exploring Operation: 70-3=67, Resulting Numbers: [67]
67,14 unequal: No Solution
Exploring Operation: 3+70=73, Resulting Numbers: [73]
73,14 unequal: No Solution
Moving to Node #0,1,0
Current State: 14:[80, 7], Operations: ['62-52=10', '10-3=7']
Exploring Operation: 80*7=560, Resulting Numbers: [560]
560,14 unequal: No Solution
Exploring Operation: 80-7=73, Resulting Numbers: [73]
73,14 unequal: No Solution
Exploring Operation: 80+7=87, Resulting Numbers: [87]
87,14 unequal: No Solution
Moving to Node #0,1,2
Current State: 14:[10, 77], Operations: ['62-52=10', '80-3=77']
Exploring Operation: 10*77=770, Resulting Numbers: [770]
770,14 unequal: No Solution
Exploring Operation: 10+77=87, Resulting Numbers: [87]
87,14 unequal: No Solution
Exploring Operation: 77-10=67, Resulting Numbers: [67]
67,14 unequal: No Solution
Moving to Node #0,1,4
Current State: 14:[80, 13], Operations: ['62-52=10', '3+10=13']
Exploring Operation: 80+13=93, Resulting Numbers: [93]
93,14 unequal: No Solution
Exploring Operation: 80-13=67, Resulting Numbers: [67]
67,14 unequal: No Solution
Exploring Operation: 80*13=1040, Resulting Numbers: [1040]
1040,14 unequal: No Solution
No 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: 14:[52, 80, 59], Operations: ['62-3=59']
Exploring Operation: 80-52=28, Resulting Numbers: [59, 28]
Generated Node #0,0,0: 14:[59, 28] Operation: 80-52=28
Exploring Operation: 80-59=21, Resulting Numbers: [52, 21]
Generated Node #0,0,1: 14:[52, 21] Operation: 80-59=21
Exploring Operation: 52+59=111, Resulting Numbers: [80, 111]
Generated Node #0,0,2: 14:[80, 111] Operation: 52+59=111
Exploring Operation: 59-52=7, Resulting Numbers: [80, 7]
Generated Node #0,0,3: 14:[80, 7] Operation: 59-52=7
Exploring Operation: 52+80=132, Resulting Numbers: [59, 132]
Generated Node #0,0,4: 14:[59, 132] Operation: 52+80=132
Moving to Node #0,0,1
Current State: 14:[52, 21], Operations: ['62-3=59', '80-59=21']
Exploring Operation: 52+21=73, Resulting Numbers: [73]
73,14 unequal: No Solution
Exploring Operation: 52*21=1092, Resulting Numbers: [1092]
1092,14 unequal: No Solution
Exploring Operation: 52-21=31, Resulting Numbers: [31]
31,14 unequal: No Solution
Moving to Node #0,0,0
Current State: 14:[59, 28], Operations: ['62-3=59', '80-52=28']
Exploring Operation: 59*28=1652, Resulting Numbers: [1652]
1652,14 unequal: No Solution
Exploring Operation: 59-28=31, Resulting Numbers: [31]
31,14 unequal: No Solution
Exploring Operation: 59+28=87, Resulting Numbers: [87]
87,14 unequal: No Solution
Moving to Node #0,0,3
Current State: 14:[80, 7], Operations: ['62-3=59', '59-52=7']
Exploring Operation: 80+7=87, Resulting Numbers: [87]
87,14 unequal: No Solution
Exploring Operation: 80*7=560, Resulting Numbers: [560]
560,14 unequal: No Solution
Exploring Operation: 80-7=73, Resulting Numbers: [73]
73,14 unequal: No Solution
Moving to Node #0,0,2
Current State: 14:[80, 111], Operations: ['62-3=59', '52+59=111']
Exploring Operation: 111-80=31, Resulting Numbers: [31]
31,14 unequal: No Solution
Exploring Operation: 80+111=191, Resulting Numbers: [191]
191,14 unequal: No Solution
Exploring Operation: 80*111=8880, Resulting Numbers: [8880]
8880,14 unequal: No Solution
Moving to Node #0,0,4
Current State: 14:[59, 132], Operations: ['62-3=59', '52+80=132']
Exploring Operation: 132-59=73, Resulting Numbers: [73]
73,14 unequal: No Solution
Exploring Operation: 59+132=191, Resulting Numbers: [191]
191,14 unequal: No Solution
Exploring Operation: 59*132=7788, Resulting Numbers: [7788]
7788,14 unequal: No Solution
No 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: 14:[62, 80, 49], Operations: ['52-3=49']
Exploring Operation: 62+49=111, Resulting Numbers: [80, 111]
Generated Node #0,4,0: 14:[80, 111] Operation: 62+49=111
Exploring Operation: 80-62=18, Resulting Numbers: [49, 18]
Generated Node #0,4,1: 14:[49, 18] Operation: 80-62=18
Exploring Operation: 62+80=142, Resulting Numbers: [49, 142]
Generated Node #0,4,2: 14:[49, 142] Operation: 62+80=142
Exploring Operation: 62-49=13, Resulting Numbers: [80, 13]
Generated Node #0,4,3: 14:[80, 13] Operation: 62-49=13
Exploring Operation: 80-49=31, Resulting Numbers: [62, 31]
Generated Node #0,4,4: 14:[62, 31] Operation: 80-49=31
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 14:[49, 18], Operations: ['52-3=49', '80-62=18']
Exploring Operation: 49-18=31, Resulting Numbers: [31]
31,14 unequal: No Solution
Exploring Operation: 49+18=67, Resulting Numbers: [67]
67,14 unequal: No Solution
Exploring Operation: 49*18=882, Resulting Numbers: [882]
882,14 unequal: No Solution
No 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: 14:[62, 31], Operations: ['52-3=49', '80-49=31']
Exploring Operation: 62+31=93, Resulting Numbers: [93]
93,14 unequal: No Solution
Exploring Operation: 62*31=1922, Resulting Numbers: [1922]
1922,14 unequal: No Solution
Exploring Operation: 62/31=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Exploring Operation: 62-31=31, Resulting Numbers: [31]
31,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 14:[80, 13], Operations: ['52-3=49', '62-49=13']
Exploring Operation: 80-13=67, Resulting Numbers: [67]
67,14 unequal: No Solution
Exploring Operation: 80*13=1040, Resulting Numbers: [1040]
1040,14 unequal: No Solution
Exploring Operation: 80+13=93, Resulting Numbers: [93]
93,14 unequal: No Solution
No 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: 14:[80, 111], Operations: ['52-3=49', '62+49=111']
Exploring Operation: 80*111=8880, Resulting Numbers: [8880]
8880,14 unequal: No Solution
Exploring Operation: 111-80=31, Resulting Numbers: [31]
31,14 unequal: No Solution
Exploring Operation: 80+111=191, Resulting Numbers: [191]
191,14 unequal: No Solution
No 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: 14:[49, 142], Operations: ['52-3=49', '62+80=142']
Exploring Operation: 49*142=6958, Resulting Numbers: [6958]
6958,14 unequal: No Solution
Exploring Operation: 49+142=191, Resulting Numbers: [191]
191,14 unequal: No Solution
Exploring Operation: 142-49=93, Resulting Numbers: [93]
93,14 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 |
[
24,
57,
2,
44
] | 89 | [
"24/2=12",
"57+44=101",
"101-12=89"
] | Current State: 89:[24, 57, 2, 44], Operations: []
Exploring Operation: 24/2=12, Resulting Numbers: [57, 44, 12]
Generated Node #2: [57, 44, 12] from Operation: 24/2=12
Current State: 89:[57, 44, 12], Operations: ['24/2=12']
Exploring Operation: 57+44=101, Resulting Numbers: [12, 101]
Generated Node #3: [12, 101] from Operation: 57+44=101
Current State: 89:[12, 101], Operations: ['24/2=12', '57+44=101']
Exploring Operation: 101-12=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[24, 57, 2, 44], Operations: []
Exploring Operation: 57*2=114, Resulting Numbers: [24, 44, 114]
Generated Node #0,0: 89:[24, 44, 114] Operation: 57*2=114
Exploring Operation: 24*2=48, Resulting Numbers: [57, 44, 48]
Generated Node #0,1: 89:[57, 44, 48] Operation: 24*2=48
Exploring Operation: 2*44=88, Resulting Numbers: [24, 57, 88]
Generated Node #0,2: 89:[24, 57, 88] Operation: 2*44=88
Start Sub Search at level 1: Moving to Node #0,2
Current State: 89:[24, 57, 88], Operations: ['2*44=88']
Exploring Operation: 24+88=112, Resulting Numbers: [57, 112]
Generated Node #0,2,0: 89:[57, 112] Operation: 24+88=112
Exploring Operation: 57-24=33, Resulting Numbers: [88, 33]
Generated Node #0,2,1: 89:[88, 33] Operation: 57-24=33
Exploring Operation: 24+57=81, Resulting Numbers: [88, 81]
Generated Node #0,2,2: 89:[88, 81] Operation: 24+57=81
Moving to Node #0,2,2
Current State: 89:[88, 81], Operations: ['2*44=88', '24+57=81']
Exploring Operation: 88+81=169, Resulting Numbers: [169]
169,89 unequal: No Solution
Exploring Operation: 88-81=7, Resulting Numbers: [7]
7,89 unequal: No Solution
Exploring Operation: 88*81=7128, Resulting Numbers: [7128]
7128,89 unequal: No Solution
Moving to Node #0,2,0
Current State: 89:[57, 112], Operations: ['2*44=88', '24+88=112']
Exploring Operation: 57+112=169, Resulting Numbers: [169]
169,89 unequal: No Solution
Exploring Operation: 112-57=55, Resulting Numbers: [55]
55,89 unequal: No Solution
Exploring Operation: 57*112=6384, Resulting Numbers: [6384]
6384,89 unequal: No Solution
Moving to Node #0,2,1
Current State: 89:[88, 33], Operations: ['2*44=88', '57-24=33']
Exploring Operation: 88*33=2904, Resulting Numbers: [2904]
2904,89 unequal: No Solution
Exploring Operation: 88-33=55, Resulting Numbers: [55]
55,89 unequal: No Solution
Exploring Operation: 88+33=121, Resulting Numbers: [121]
121,89 unequal: No Solution
No 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:[57, 44, 48], Operations: ['24*2=48']
Exploring Operation: 57+48=105, Resulting Numbers: [44, 105]
Generated Node #0,1,0: 89:[44, 105] Operation: 57+48=105
Exploring Operation: 44+48=92, Resulting Numbers: [57, 92]
Generated Node #0,1,1: 89:[57, 92] Operation: 44+48=92
Exploring Operation: 57+44=101, Resulting Numbers: [48, 101]
Generated Node #0,1,2: 89:[48, 101] Operation: 57+44=101
Moving to Node #0,1,1
Current State: 89:[57, 92], Operations: ['24*2=48', '44+48=92']
Exploring Operation: 57+92=149, Resulting Numbers: [149]
149,89 unequal: No Solution
Exploring Operation: 92-57=35, Resulting Numbers: [35]
35,89 unequal: No Solution
Exploring Operation: 57*92=5244, Resulting Numbers: [5244]
5244,89 unequal: No Solution
Moving to Node #0,1,2
Current State: 89:[48, 101], Operations: ['24*2=48', '57+44=101']
Exploring Operation: 101-48=53, Resulting Numbers: [53]
53,89 unequal: No Solution
Exploring Operation: 48*101=4848, Resulting Numbers: [4848]
4848,89 unequal: No Solution
Exploring Operation: 48+101=149, Resulting Numbers: [149]
149,89 unequal: No Solution
Moving to Node #0,1,0
Current State: 89:[44, 105], Operations: ['24*2=48', '57+48=105']
Exploring Operation: 105-44=61, Resulting Numbers: [61]
61,89 unequal: No Solution
Exploring Operation: 44+105=149, Resulting Numbers: [149]
149,89 unequal: No Solution
Exploring Operation: 44*105=4620, Resulting Numbers: [4620]
4620,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[24, 44, 114], Operations: ['57*2=114']
Exploring Operation: 114-44=70, Resulting Numbers: [24, 70]
Generated Node #0,0,0: 89:[24, 70] Operation: 114-44=70
Exploring Operation: 24+44=68, Resulting Numbers: [114, 68]
Generated Node #0,0,1: 89:[114, 68] Operation: 24+44=68
Exploring Operation: 114-24=90, Resulting Numbers: [44, 90]
Generated Node #0,0,2: 89:[44, 90] Operation: 114-24=90
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 89:[114, 68], Operations: ['57*2=114', '24+44=68']
Exploring Operation: 114+68=182, Resulting Numbers: [182]
182,89 unequal: No Solution
Exploring Operation: 114-68=46, Resulting Numbers: [46]
46,89 unequal: No Solution
Exploring Operation: 114*68=7752, Resulting Numbers: [7752]
7752,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 89:[44, 90], Operations: ['57*2=114', '114-24=90']
Exploring Operation: 90-44=46, Resulting Numbers: [46]
46,89 unequal: No Solution
Exploring Operation: 44*90=3960, Resulting Numbers: [3960]
3960,89 unequal: No Solution
Exploring Operation: 44+90=134, Resulting Numbers: [134]
134,89 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:[24, 70], Operations: ['57*2=114', '114-44=70']
Exploring Operation: 24+70=94, Resulting Numbers: [94]
94,89 unequal: No Solution
Exploring Operation: 24*70=1680, Resulting Numbers: [1680]
1680,89 unequal: No Solution
Exploring Operation: 70-24=46, Resulting Numbers: [46]
46,89 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_3 | sum_heuristic |
[
95,
97,
4,
15
] | 62 | [
"97-95=2",
"4*15=60",
"2+60=62"
] | Current State: 62:[95, 97, 4, 15], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [4, 15, 2]
Generated Node #2: [4, 15, 2] from Operation: 97-95=2
Current State: 62:[4, 15, 2], Operations: ['97-95=2']
Exploring Operation: 4*15=60, Resulting Numbers: [2, 60]
Generated Node #3: [2, 60] from Operation: 4*15=60
Current State: 62:[2, 60], Operations: ['97-95=2', '4*15=60']
Exploring Operation: 2+60=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[95, 97, 4, 15], Operations: []
Exploring Operation: 95-15=80, Resulting Numbers: [97, 4, 80]
Generated Node #0,0: 62:[97, 4, 80] Operation: 95-15=80
Exploring Operation: 4*15=60, Resulting Numbers: [95, 97, 60]
Generated Node #0,1: 62:[95, 97, 60] Operation: 4*15=60
Exploring Operation: 97-95=2, Resulting Numbers: [4, 15, 2]
Generated Node #0,2: 62:[4, 15, 2] Operation: 97-95=2
Exploring Operation: 97-15=82, Resulting Numbers: [95, 4, 82]
Generated Node #0,3: 62:[95, 4, 82] Operation: 97-15=82
Start Sub Search at level 1: Moving to Node #0,2
Current State: 62:[4, 15, 2], Operations: ['97-95=2']
Exploring Operation: 4*15=60, Resulting Numbers: [2, 60]
Generated Node #0,2,0: 62:[2, 60] Operation: 4*15=60
Exploring Operation: 15-4=11, Resulting Numbers: [2, 11]
Generated Node #0,2,1: 62:[2, 11] Operation: 15-4=11
Exploring Operation: 15*2=30, Resulting Numbers: [4, 30]
Generated Node #0,2,2: 62:[4, 30] Operation: 15*2=30
Exploring Operation: 4+15=19, Resulting Numbers: [2, 19]
Generated Node #0,2,3: 62:[2, 19] Operation: 4+15=19
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 62:[2, 60], Operations: ['97-95=2', '4*15=60']
Exploring Operation: 2*60=120, Resulting Numbers: [120]
120,62 unequal: No Solution
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,62 unequal: No Solution
Exploring Operation: 2+60=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[95, 97, 4, 15], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [4, 15, 2]
Generated Node #0,2: 62:[4, 15, 2] Operation: 97-95=2
Moving to Node #0,2
Current State: 62:[4, 15, 2], Operations: ['97-95=2']
Exploring Operation: 4*15=60, Resulting Numbers: [2, 60]
Generated Node #0,2,0: 62:[2, 60] Operation: 4*15=60
Moving to Node #0,2,0
Current State: 62:[2, 60], Operations: ['97-95=2', '4*15=60']
Exploring Operation: 2+60=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
3,
59,
25,
66
] | 46 | [
"66-59=7",
"3*7=21",
"25+21=46"
] | Current State: 46:[3, 59, 25, 66], Operations: []
Exploring Operation: 66-59=7, Resulting Numbers: [3, 25, 7]
Generated Node #2: [3, 25, 7] from Operation: 66-59=7
Current State: 46:[3, 25, 7], Operations: ['66-59=7']
Exploring Operation: 3*7=21, Resulting Numbers: [25, 21]
Generated Node #3: [25, 21] from Operation: 3*7=21
Current State: 46:[25, 21], Operations: ['66-59=7', '3*7=21']
Exploring Operation: 25+21=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[3, 59, 25, 66], Operations: []
Exploring Operation: 66-25=41, Resulting Numbers: [3, 59, 41]
Generated Node #0,0: 46:[3, 59, 41] Operation: 66-25=41
Exploring Operation: 66-59=7, Resulting Numbers: [3, 25, 7]
Generated Node #0,1: 46:[3, 25, 7] Operation: 66-59=7
Exploring Operation: 66/3=22, Resulting Numbers: [59, 25, 22]
Generated Node #0,2: 46:[59, 25, 22] Operation: 66/3=22
Moving to Node #0,1
Current State: 46:[3, 25, 7], Operations: ['66-59=7']
Exploring Operation: 3*7=21, Resulting Numbers: [25, 21]
Generated Node #0,1,0: 46:[25, 21] Operation: 3*7=21
Exploring Operation: 7-3=4, Resulting Numbers: [25, 4]
Generated Node #0,1,1: 46:[25, 4] Operation: 7-3=4
Exploring Operation: 25-3=22, Resulting Numbers: [7, 22]
Generated Node #0,1,2: 46:[7, 22] Operation: 25-3=22
Moving to Node #0,2
Current State: 46:[59, 25, 22], Operations: ['66/3=22']
Exploring Operation: 59-25=34, Resulting Numbers: [22, 34]
Generated Node #0,2,0: 46:[22, 34] Operation: 59-25=34
Exploring Operation: 25+22=47, Resulting Numbers: [59, 47]
Generated Node #0,2,1: 46:[59, 47] Operation: 25+22=47
Exploring Operation: 59-22=37, Resulting Numbers: [25, 37]
Generated Node #0,2,2: 46:[25, 37] Operation: 59-22=37
Moving to Node #0,0
Current State: 46:[3, 59, 41], Operations: ['66-25=41']
Exploring Operation: 3+41=44, Resulting Numbers: [59, 44]
Generated Node #0,0,0: 46:[59, 44] Operation: 3+41=44
Exploring Operation: 59-3=56, Resulting Numbers: [41, 56]
Generated Node #0,0,1: 46:[41, 56] Operation: 59-3=56
Exploring Operation: 59-41=18, Resulting Numbers: [3, 18]
Generated Node #0,0,2: 46:[3, 18] Operation: 59-41=18
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 46:[3, 18], Operations: ['66-25=41', '59-41=18']
Exploring Operation: 3+18=21, Resulting Numbers: [21]
21,46 unequal: No Solution
Exploring Operation: 3*18=54, Resulting Numbers: [54]
54,46 unequal: No Solution
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 46:[59, 44], Operations: ['66-25=41', '3+41=44']
Exploring Operation: 59*44=2596, Resulting Numbers: [2596]
2596,46 unequal: No Solution
Exploring Operation: 59-44=15, Resulting Numbers: [15]
15,46 unequal: No Solution
Exploring Operation: 59+44=103, Resulting Numbers: [103]
103,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 46:[41, 56], Operations: ['66-25=41', '59-3=56']
Exploring Operation: 41+56=97, Resulting Numbers: [97]
97,46 unequal: No Solution
Exploring Operation: 56-41=15, Resulting Numbers: [15]
15,46 unequal: No Solution
Exploring Operation: 41*56=2296, Resulting Numbers: [2296]
2296,46 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: 46:[25, 21], Operations: ['66-59=7', '3*7=21']
Exploring Operation: 25*21=525, Resulting Numbers: [525]
525,46 unequal: No Solution
Exploring Operation: 25-21=4, Resulting Numbers: [4]
4,46 unequal: No Solution
Exploring Operation: 25+21=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[3, 59, 25, 66], Operations: []
Exploring Operation: 66-59=7, Resulting Numbers: [3, 25, 7]
Generated Node #0,1: 46:[3, 25, 7] Operation: 66-59=7
Moving to Node #0,1
Current State: 46:[3, 25, 7], Operations: ['66-59=7']
Exploring Operation: 3*7=21, Resulting Numbers: [25, 21]
Generated Node #0,1,0: 46:[25, 21] Operation: 3*7=21
Moving to Node #0,1,0
Current State: 46:[25, 21], Operations: ['66-59=7', '3*7=21']
Exploring Operation: 25+21=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 0.975694 | hs_3 | sum_heuristic |
[
6,
24,
85,
12
] | 83 | [
"24-12=12",
"12/6=2",
"85-2=83"
] | Current State: 83:[6, 24, 85, 12], Operations: []
Exploring Operation: 24-12=12, Resulting Numbers: [6, 85, 12]
Generated Node #2: [6, 85, 12] from Operation: 24-12=12
Current State: 83:[6, 85, 12], Operations: ['24-12=12']
Exploring Operation: 12/6=2, Resulting Numbers: [85, 2]
Generated Node #3: [85, 2] from Operation: 12/6=2
Current State: 83:[85, 2], Operations: ['24-12=12', '12/6=2']
Exploring Operation: 85-2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[6, 24, 85, 12], Operations: []
Exploring Operation: 6+24=30, Resulting Numbers: [85, 12, 30]
Generated Node #0,0: 83:[85, 12, 30] Operation: 6+24=30
Exploring Operation: 6*12=72, Resulting Numbers: [24, 85, 72]
Generated Node #0,1: 83:[24, 85, 72] Operation: 6*12=72
Moving to Node #0,1
Current State: 83:[24, 85, 72], Operations: ['6*12=72']
Exploring Operation: 85-24=61, Resulting Numbers: [72, 61]
Generated Node #0,1,0: 83:[72, 61] Operation: 85-24=61
Exploring Operation: 24+72=96, Resulting Numbers: [85, 96]
Generated Node #0,1,1: 83:[85, 96] Operation: 24+72=96
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 83:[85, 96], Operations: ['6*12=72', '24+72=96']
Exploring Operation: 85+96=181, Resulting Numbers: [181]
181,83 unequal: No Solution
Exploring Operation: 96-85=11, Resulting Numbers: [11]
11,83 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 #0,1,0
Current State: 83:[72, 61], Operations: ['6*12=72', '85-24=61']
Exploring Operation: 72+61=133, Resulting Numbers: [133]
133,83 unequal: No Solution
Exploring Operation: 72-61=11, Resulting Numbers: [11]
11,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 83:[85, 12, 30], Operations: ['6+24=30']
Exploring Operation: 85-12=73, Resulting Numbers: [30, 73]
Generated Node #0,0,0: 83:[30, 73] Operation: 85-12=73
Exploring Operation: 12+30=42, Resulting Numbers: [85, 42]
Generated Node #0,0,1: 83:[85, 42] Operation: 12+30=42
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 83:[85, 42], Operations: ['6+24=30', '12+30=42']
Exploring Operation: 85-42=43, Resulting Numbers: [43]
43,83 unequal: No Solution
Exploring Operation: 85+42=127, Resulting Numbers: [127]
127,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 83:[30, 73], Operations: ['6+24=30', '85-12=73']
Exploring Operation: 73-30=43, Resulting Numbers: [43]
43,83 unequal: No Solution
Exploring Operation: 30+73=103, Resulting Numbers: [103]
103,83 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 |
[
53,
57,
3,
94
] | 95 | [
"57-53=4",
"94-3=91",
"4+91=95"
] | Current State: 95:[53, 57, 3, 94], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [3, 94, 4]
Generated Node #2: [3, 94, 4] from Operation: 57-53=4
Current State: 95:[3, 94, 4], Operations: ['57-53=4']
Exploring Operation: 94-3=91, Resulting Numbers: [4, 91]
Generated Node #3: [4, 91] from Operation: 94-3=91
Current State: 95:[4, 91], Operations: ['57-53=4', '94-3=91']
Exploring Operation: 4+91=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[53, 57, 3, 94], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [3, 94, 4]
Generated Node #0,0: 95:[3, 94, 4] Operation: 57-53=4
Exploring Operation: 53+57=110, Resulting Numbers: [3, 94, 110]
Generated Node #0,1: 95:[3, 94, 110] Operation: 53+57=110
Moving to Node #0,0
Current State: 95:[3, 94, 4], Operations: ['57-53=4']
Exploring Operation: 3+94=97, Resulting Numbers: [4, 97]
Generated Node #0,0,0: 95:[4, 97] Operation: 3+94=97
Exploring Operation: 3+4=7, Resulting Numbers: [94, 7]
Generated Node #0,0,1: 95:[94, 7] Operation: 3+4=7
Moving to Node #0,1
Current State: 95:[3, 94, 110], Operations: ['53+57=110']
Exploring Operation: 110-94=16, Resulting Numbers: [3, 16]
Generated Node #0,1,0: 95:[3, 16] Operation: 110-94=16
Exploring Operation: 110-3=107, Resulting Numbers: [94, 107]
Generated Node #0,1,1: 95:[94, 107] Operation: 110-3=107
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 95:[3, 16], Operations: ['53+57=110', '110-94=16']
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,95 unequal: No Solution
Exploring Operation: 3+16=19, Resulting Numbers: [19]
19,95 unequal: No Solution
No 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: 95:[94, 107], Operations: ['53+57=110', '110-3=107']
Exploring Operation: 94+107=201, Resulting Numbers: [201]
201,95 unequal: No Solution
Exploring Operation: 107-94=13, Resulting Numbers: [13]
13,95 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: 95:[4, 97], Operations: ['57-53=4', '3+94=97']
Exploring Operation: 97-4=93, Resulting Numbers: [93]
93,95 unequal: No Solution
Exploring Operation: 4+97=101, Resulting Numbers: [101]
101,95 unequal: No Solution
Moving to Node #0,0,1
Current State: 95:[94, 7], Operations: ['57-53=4', '3+4=7']
Exploring Operation: 94+7=101, Resulting Numbers: [101]
101,95 unequal: No Solution
Exploring Operation: 94-7=87, Resulting Numbers: [87]
87,95 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
60,
67,
73,
87
] | 77 | [
"73-67=6",
"60/6=10",
"87-10=77"
] | Current State: 77:[60, 67, 73, 87], Operations: []
Exploring Operation: 73-67=6, Resulting Numbers: [60, 87, 6]
Generated Node #2: [60, 87, 6] from Operation: 73-67=6
Current State: 77:[60, 87, 6], Operations: ['73-67=6']
Exploring Operation: 60/6=10, Resulting Numbers: [87, 10]
Generated Node #3: [87, 10] from Operation: 60/6=10
Current State: 77:[87, 10], Operations: ['73-67=6', '60/6=10']
Exploring Operation: 87-10=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[60, 67, 73, 87], Operations: []
Exploring Operation: 73-60=13, Resulting Numbers: [67, 87, 13]
Generated Node #0,0: 77:[67, 87, 13] Operation: 73-60=13
Exploring Operation: 67-60=7, Resulting Numbers: [73, 87, 7]
Generated Node #0,1: 77:[73, 87, 7] Operation: 67-60=7
Exploring Operation: 87-60=27, Resulting Numbers: [67, 73, 27]
Generated Node #0,2: 77:[67, 73, 27] Operation: 87-60=27
Exploring Operation: 73-67=6, Resulting Numbers: [60, 87, 6]
Generated Node #0,3: 77:[60, 87, 6] Operation: 73-67=6
Moving to Node #0,1
Current State: 77:[73, 87, 7], Operations: ['67-60=7']
Exploring Operation: 87-7=80, Resulting Numbers: [73, 80]
Generated Node #0,1,0: 77:[73, 80] Operation: 87-7=80
Exploring Operation: 73-7=66, Resulting Numbers: [87, 66]
Generated Node #0,1,1: 77:[87, 66] Operation: 73-7=66
Exploring Operation: 87-73=14, Resulting Numbers: [7, 14]
Generated Node #0,1,2: 77:[7, 14] Operation: 87-73=14
Exploring Operation: 73+7=80, Resulting Numbers: [87, 80]
Generated Node #0,1,3: 77:[87, 80] Operation: 73+7=80
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 77:[7, 14], Operations: ['67-60=7', '87-73=14']
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,77 unequal: No Solution
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,77 unequal: No Solution
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,77 unequal: No Solution
Exploring Operation: 7+14=21, Resulting Numbers: [21]
21,77 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 #0,1,0
Current State: 77:[73, 80], Operations: ['67-60=7', '87-7=80']
Exploring Operation: 80-73=7, Resulting Numbers: [7]
7,77 unequal: No Solution
Exploring Operation: 73*80=5840, Resulting Numbers: [5840]
5840,77 unequal: No Solution
Exploring Operation: 73+80=153, Resulting Numbers: [153]
153,77 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 #0,1,3
Current State: 77:[87, 80], Operations: ['67-60=7', '73+7=80']
Exploring Operation: 87-80=7, Resulting Numbers: [7]
7,77 unequal: No Solution
Exploring Operation: 87+80=167, Resulting Numbers: [167]
167,77 unequal: No Solution
Exploring Operation: 87*80=6960, Resulting Numbers: [6960]
6960,77 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:[87, 66], Operations: ['67-60=7', '73-7=66']
Exploring Operation: 87-66=21, Resulting Numbers: [21]
21,77 unequal: No Solution
Exploring Operation: 87+66=153, Resulting Numbers: [153]
153,77 unequal: No Solution
Exploring Operation: 87*66=5742, Resulting Numbers: [5742]
5742,77 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: 77:[67, 87, 13], Operations: ['73-60=13']
Exploring Operation: 67-13=54, Resulting Numbers: [87, 54]
Generated Node #0,0,0: 77:[87, 54] Operation: 67-13=54
Exploring Operation: 87-13=74, Resulting Numbers: [67, 74]
Generated Node #0,0,1: 77:[67, 74] Operation: 87-13=74
Exploring Operation: 67+13=80, Resulting Numbers: [87, 80]
Generated Node #0,0,2: 77:[87, 80] Operation: 67+13=80
Exploring Operation: 87-67=20, Resulting Numbers: [13, 20]
Generated Node #0,0,3: 77:[13, 20] Operation: 87-67=20
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 77:[13, 20], Operations: ['73-60=13', '87-67=20']
Exploring Operation: 13*20=260, Resulting Numbers: [260]
260,77 unequal: No Solution
Exploring Operation: 13+20=33, Resulting Numbers: [33]
33,77 unequal: No Solution
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,77 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 #0,0,1
Current State: 77:[67, 74], Operations: ['73-60=13', '87-13=74']
Exploring Operation: 67+74=141, Resulting Numbers: [141]
141,77 unequal: No Solution
Exploring Operation: 74-67=7, Resulting Numbers: [7]
7,77 unequal: No Solution
Exploring Operation: 67*74=4958, Resulting Numbers: [4958]
4958,77 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 #0,0,2
Current State: 77:[87, 80], Operations: ['73-60=13', '67+13=80']
Exploring Operation: 87+80=167, Resulting Numbers: [167]
167,77 unequal: No Solution
Exploring Operation: 87-80=7, Resulting Numbers: [7]
7,77 unequal: No Solution
Exploring Operation: 87*80=6960, Resulting Numbers: [6960]
6960,77 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 #0,0,0
Current State: 77:[87, 54], Operations: ['73-60=13', '67-13=54']
Exploring Operation: 87+54=141, Resulting Numbers: [141]
141,77 unequal: No Solution
Exploring Operation: 87-54=33, Resulting Numbers: [33]
33,77 unequal: No Solution
Exploring Operation: 87*54=4698, Resulting Numbers: [4698]
4698,77 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: 77:[60, 87, 6], Operations: ['73-67=6']
Exploring Operation: 87-60=27, Resulting Numbers: [6, 27]
Generated Node #0,3,0: 77:[6, 27] Operation: 87-60=27
Exploring Operation: 60/6=10, Resulting Numbers: [87, 10]
Generated Node #0,3,1: 77:[87, 10] Operation: 60/6=10
Exploring Operation: 60+6=66, Resulting Numbers: [87, 66]
Generated Node #0,3,2: 77:[87, 66] Operation: 60+6=66
Exploring Operation: 87-6=81, Resulting Numbers: [60, 81]
Generated Node #0,3,3: 77:[60, 81] Operation: 87-6=81
Moving to Node #0,2
Current State: 77:[67, 73, 27], Operations: ['87-60=27']
Exploring Operation: 67+27=94, Resulting Numbers: [73, 94]
Generated Node #0,2,0: 77:[73, 94] Operation: 67+27=94
Exploring Operation: 73-67=6, Resulting Numbers: [27, 6]
Generated Node #0,2,1: 77:[27, 6] Operation: 73-67=6
Exploring Operation: 67-27=40, Resulting Numbers: [73, 40]
Generated Node #0,2,2: 77:[73, 40] Operation: 67-27=40
Exploring Operation: 73+27=100, Resulting Numbers: [67, 100]
Generated Node #0,2,3: 77:[67, 100] Operation: 73+27=100
Moving to Node #0,3,1
Current State: 77:[87, 10], Operations: ['73-67=6', '60/6=10']
Exploring Operation: 87+10=97, Resulting Numbers: [97]
97,77 unequal: No Solution
Exploring Operation: 87-10=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[60, 67, 73, 87], Operations: []
Exploring Operation: 73-67=6, Resulting Numbers: [60, 87, 6]
Generated Node #0,3: 77:[60, 87, 6] Operation: 73-67=6
Moving to Node #0,3
Current State: 77:[60, 87, 6], Operations: ['73-67=6']
Exploring Operation: 60/6=10, Resulting Numbers: [87, 10]
Generated Node #0,3,1: 77:[87, 10] Operation: 60/6=10
Moving to Node #0,3,1
Current State: 77:[87, 10], Operations: ['73-67=6', '60/6=10']
Exploring Operation: 87-10=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 0.955729 | hs_4 | sum_heuristic |
[
21,
30,
20,
86
] | 56 | [
"21-20=1",
"86-30=56",
"1*56=56"
] | Current State: 56:[21, 30, 20, 86], Operations: []
Exploring Operation: 21-20=1, Resulting Numbers: [30, 86, 1]
Generated Node #2: [30, 86, 1] from Operation: 21-20=1
Current State: 56:[30, 86, 1], Operations: ['21-20=1']
Exploring Operation: 86-30=56, Resulting Numbers: [1, 56]
Generated Node #3: [1, 56] from Operation: 86-30=56
Current State: 56:[1, 56], Operations: ['21-20=1', '86-30=56']
Exploring Operation: 1*56=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[21, 30, 20, 86], Operations: []
Exploring Operation: 86-21=65, Resulting Numbers: [30, 20, 65]
Generated Node #0,0: 56:[30, 20, 65] Operation: 86-21=65
Exploring Operation: 86-30=56, Resulting Numbers: [21, 20, 56]
Generated Node #0,1: 56:[21, 20, 56] Operation: 86-30=56
Exploring Operation: 86-20=66, Resulting Numbers: [21, 30, 66]
Generated Node #0,2: 56:[21, 30, 66] Operation: 86-20=66
Exploring Operation: 30-21=9, Resulting Numbers: [20, 86, 9]
Generated Node #0,3: 56:[20, 86, 9] Operation: 30-21=9
Exploring Operation: 21-20=1, Resulting Numbers: [30, 86, 1]
Generated Node #0,4: 56:[30, 86, 1] Operation: 21-20=1
Start Sub Search at level 1: Moving to Node #0,1
Current State: 56:[21, 20, 56], Operations: ['86-30=56']
Exploring Operation: 21-20=1, Resulting Numbers: [56, 1]
Generated Node #0,1,0: 56:[56, 1] Operation: 21-20=1
Exploring Operation: 56-21=35, Resulting Numbers: [20, 35]
Generated Node #0,1,1: 56:[20, 35] Operation: 56-21=35
Exploring Operation: 21+20=41, Resulting Numbers: [56, 41]
Generated Node #0,1,2: 56:[56, 41] Operation: 21+20=41
Exploring Operation: 56-20=36, Resulting Numbers: [21, 36]
Generated Node #0,1,3: 56:[21, 36] Operation: 56-20=36
Exploring Operation: 21+56=77, Resulting Numbers: [20, 77]
Generated Node #0,1,4: 56:[20, 77] Operation: 21+56=77
Moving to Node #0,1,0
Current State: 56:[56, 1], Operations: ['86-30=56', '21-20=1']
Exploring Operation: 56*1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[21, 30, 20, 86], Operations: []
Exploring Operation: 86-30=56, Resulting Numbers: [21, 20, 56]
Generated Node #0,1: 56:[21, 20, 56] Operation: 86-30=56
Moving to Node #0,1
Current State: 56:[21, 20, 56], Operations: ['86-30=56']
Exploring Operation: 21-20=1, Resulting Numbers: [56, 1]
Generated Node #0,1,0: 56:[56, 1] Operation: 21-20=1
Moving to Node #0,1,0
Current State: 56:[56, 1], Operations: ['86-30=56', '21-20=1']
Exploring Operation: 56*1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
6,
82,
92,
14
] | 56 | [
"6+82=88",
"92-88=4",
"14*4=56"
] | Current State: 56:[6, 82, 92, 14], Operations: []
Exploring Operation: 6+82=88, Resulting Numbers: [92, 14, 88]
Generated Node #2: [92, 14, 88] from Operation: 6+82=88
Current State: 56:[92, 14, 88], Operations: ['6+82=88']
Exploring Operation: 92-88=4, Resulting Numbers: [14, 4]
Generated Node #3: [14, 4] from Operation: 92-88=4
Current State: 56:[14, 4], Operations: ['6+82=88', '92-88=4']
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[6, 82, 92, 14], Operations: []
Exploring Operation: 82-6=76, Resulting Numbers: [92, 14, 76]
Generated Node #0,0: 56:[92, 14, 76] Operation: 82-6=76
Exploring Operation: 92-14=78, Resulting Numbers: [6, 82, 78]
Generated Node #0,1: 56:[6, 82, 78] Operation: 92-14=78
Exploring Operation: 92-82=10, Resulting Numbers: [6, 14, 10]
Generated Node #0,2: 56:[6, 14, 10] Operation: 92-82=10
Exploring Operation: 82-14=68, Resulting Numbers: [6, 92, 68]
Generated Node #0,3: 56:[6, 92, 68] Operation: 82-14=68
Moving to Node #0,2
Current State: 56:[6, 14, 10], Operations: ['92-82=10']
Exploring Operation: 14-10=4, Resulting Numbers: [6, 4]
Generated Node #0,2,0: 56:[6, 4] Operation: 14-10=4
Exploring Operation: 10-6=4, Resulting Numbers: [14, 4]
Generated Node #0,2,1: 56:[14, 4] Operation: 10-6=4
Exploring Operation: 6+10=16, Resulting Numbers: [14, 16]
Generated Node #0,2,2: 56:[14, 16] Operation: 6+10=16
Exploring Operation: 14-6=8, Resulting Numbers: [10, 8]
Generated Node #0,2,3: 56:[10, 8] Operation: 14-6=8
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 56:[14, 4], Operations: ['92-82=10', '10-6=4']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,56 unequal: No Solution
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,56 unequal: No Solution
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[6, 82, 92, 14], Operations: []
Exploring Operation: 92-82=10, Resulting Numbers: [6, 14, 10]
Generated Node #0,2: 56:[6, 14, 10] Operation: 92-82=10
Moving to Node #0,2
Current State: 56:[6, 14, 10], Operations: ['92-82=10']
Exploring Operation: 10-6=4, Resulting Numbers: [14, 4]
Generated Node #0,2,1: 56:[14, 4] Operation: 10-6=4
Moving to Node #0,2,1
Current State: 56:[14, 4], Operations: ['92-82=10', '10-6=4']
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
8,
74,
80,
62
] | 20 | [
"74-8=66",
"66-62=4",
"80/4=20"
] | Current State: 20:[8, 74, 80, 62], Operations: []
Exploring Operation: 74-8=66, Resulting Numbers: [80, 62, 66]
Generated Node #2: [80, 62, 66] from Operation: 74-8=66
Current State: 20:[80, 62, 66], Operations: ['74-8=66']
Exploring Operation: 66-62=4, Resulting Numbers: [80, 4]
Generated Node #3: [80, 4] from Operation: 66-62=4
Current State: 20:[80, 4], Operations: ['74-8=66', '66-62=4']
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[8, 74, 80, 62], Operations: []
Exploring Operation: 80-62=18, Resulting Numbers: [8, 74, 18]
Generated Node #0,0: 20:[8, 74, 18] Operation: 80-62=18
Exploring Operation: 74-62=12, Resulting Numbers: [8, 80, 12]
Generated Node #0,1: 20:[8, 80, 12] Operation: 74-62=12
Exploring Operation: 80-74=6, Resulting Numbers: [8, 62, 6]
Generated Node #0,2: 20:[8, 62, 6] Operation: 80-74=6
Exploring Operation: 80/8=10, Resulting Numbers: [74, 62, 10]
Generated Node #0,3: 20:[74, 62, 10] Operation: 80/8=10
Start Sub Search at level 1: Moving to Node #0,2
Current State: 20:[8, 62, 6], Operations: ['80-74=6']
Exploring Operation: 8-6=2, Resulting Numbers: [62, 2]
Generated Node #0,2,0: 20:[62, 2] Operation: 8-6=2
Exploring Operation: 62-8=54, Resulting Numbers: [6, 54]
Generated Node #0,2,1: 20:[6, 54] Operation: 62-8=54
Exploring Operation: 8+6=14, Resulting Numbers: [62, 14]
Generated Node #0,2,2: 20:[62, 14] Operation: 8+6=14
Exploring Operation: 62-6=56, Resulting Numbers: [8, 56]
Generated Node #0,2,3: 20:[8, 56] Operation: 62-6=56
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 20:[6, 54], Operations: ['80-74=6', '62-8=54']
Exploring Operation: 6+54=60, Resulting Numbers: [60]
60,20 unequal: No Solution
Exploring Operation: 54-6=48, Resulting Numbers: [48]
48,20 unequal: No Solution
Exploring Operation: 6*54=324, Resulting Numbers: [324]
324,20 unequal: No Solution
Exploring Operation: 54/6=9, Resulting Numbers: [9]
9,20 unequal: No Solution
No 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: 20:[8, 56], Operations: ['80-74=6', '62-6=56']
Exploring Operation: 56-8=48, Resulting Numbers: [48]
48,20 unequal: No Solution
Exploring Operation: 56/8=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Exploring Operation: 8*56=448, Resulting Numbers: [448]
448,20 unequal: No Solution
Exploring Operation: 8+56=64, Resulting Numbers: [64]
64,20 unequal: No Solution
No 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: 20:[62, 2], Operations: ['80-74=6', '8-6=2']
Exploring Operation: 62*2=124, Resulting Numbers: [124]
124,20 unequal: No Solution
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,20 unequal: No Solution
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,20 unequal: No Solution
Exploring Operation: 62+2=64, Resulting Numbers: [64]
64,20 unequal: No Solution
No 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: 20:[62, 14], Operations: ['80-74=6', '8+6=14']
Exploring Operation: 62+14=76, Resulting Numbers: [76]
76,20 unequal: No Solution
Exploring Operation: 62-14=48, Resulting Numbers: [48]
48,20 unequal: No Solution
Exploring Operation: 62*14=868, Resulting Numbers: [868]
868,20 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: 20:[8, 74, 18], Operations: ['80-62=18']
Exploring Operation: 18-8=10, Resulting Numbers: [74, 10]
Generated Node #0,0,0: 20:[74, 10] Operation: 18-8=10
Exploring Operation: 8+18=26, Resulting Numbers: [74, 26]
Generated Node #0,0,1: 20:[74, 26] Operation: 8+18=26
Exploring Operation: 74-18=56, Resulting Numbers: [8, 56]
Generated Node #0,0,2: 20:[8, 56] Operation: 74-18=56
Exploring Operation: 74-8=66, Resulting Numbers: [18, 66]
Generated Node #0,0,3: 20:[18, 66] Operation: 74-8=66
Moving to Node #0,0,2
Current State: 20:[8, 56], Operations: ['80-62=18', '74-18=56']
Exploring Operation: 8+56=64, Resulting Numbers: [64]
64,20 unequal: No Solution
Exploring Operation: 8*56=448, Resulting Numbers: [448]
448,20 unequal: No Solution
Exploring Operation: 56-8=48, Resulting Numbers: [48]
48,20 unequal: No Solution
Exploring Operation: 56/8=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Moving to Node #0,0,3
Current State: 20:[18, 66], Operations: ['80-62=18', '74-8=66']
Exploring Operation: 18+66=84, Resulting Numbers: [84]
84,20 unequal: No Solution
Exploring Operation: 66-18=48, Resulting Numbers: [48]
48,20 unequal: No Solution
Exploring Operation: 18*66=1188, Resulting Numbers: [1188]
1188,20 unequal: No Solution
Moving to Node #0,0,0
Current State: 20:[74, 10], Operations: ['80-62=18', '18-8=10']
Exploring Operation: 74-10=64, Resulting Numbers: [64]
64,20 unequal: No Solution
Exploring Operation: 74+10=84, Resulting Numbers: [84]
84,20 unequal: No Solution
Exploring Operation: 74*10=740, Resulting Numbers: [740]
740,20 unequal: No Solution
Moving to Node #0,0,1
Current State: 20:[74, 26], Operations: ['80-62=18', '8+18=26']
Exploring Operation: 74*26=1924, Resulting Numbers: [1924]
1924,20 unequal: No Solution
Exploring Operation: 74+26=100, Resulting Numbers: [100]
100,20 unequal: No Solution
Exploring Operation: 74-26=48, Resulting Numbers: [48]
48,20 unequal: No Solution
No 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: 20:[8, 80, 12], Operations: ['74-62=12']
Exploring Operation: 80-8=72, Resulting Numbers: [12, 72]
Generated Node #0,1,0: 20:[12, 72] Operation: 80-8=72
Exploring Operation: 80-12=68, Resulting Numbers: [8, 68]
Generated Node #0,1,1: 20:[8, 68] Operation: 80-12=68
Exploring Operation: 80/8=10, Resulting Numbers: [12, 10]
Generated Node #0,1,2: 20:[12, 10] Operation: 80/8=10
Exploring Operation: 8+12=20, Resulting Numbers: [80, 20]
Generated Node #0,1,3: 20:[80, 20] Operation: 8+12=20
Moving to Node #0,1,2
Current State: 20:[12, 10], Operations: ['74-62=12', '80/8=10']
Exploring Operation: 12-10=2, Resulting Numbers: [2]
2,20 unequal: No Solution
Exploring Operation: 12*10=120, Resulting Numbers: [120]
120,20 unequal: No Solution
Exploring Operation: 12+10=22, Resulting Numbers: [22]
22,20 unequal: No Solution
Moving to Node #0,1,1
Current State: 20:[8, 68], Operations: ['74-62=12', '80-12=68']
Exploring Operation: 68-8=60, Resulting Numbers: [60]
60,20 unequal: No Solution
Exploring Operation: 8*68=544, Resulting Numbers: [544]
544,20 unequal: No Solution
Exploring Operation: 8+68=76, Resulting Numbers: [76]
76,20 unequal: No Solution
Moving to Node #0,1,0
Current State: 20:[12, 72], Operations: ['74-62=12', '80-8=72']
Exploring Operation: 12*72=864, Resulting Numbers: [864]
864,20 unequal: No Solution
Exploring Operation: 72/12=6, Resulting Numbers: [6]
6,20 unequal: No Solution
Exploring Operation: 12+72=84, Resulting Numbers: [84]
84,20 unequal: No Solution
Exploring Operation: 72-12=60, Resulting Numbers: [60]
60,20 unequal: No Solution
Moving to Node #0,1,3
Current State: 20:[80, 20], Operations: ['74-62=12', '8+12=20']
Exploring Operation: 80/20=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Exploring Operation: 80-20=60, Resulting Numbers: [60]
60,20 unequal: No Solution
Exploring Operation: 80*20=1600, Resulting Numbers: [1600]
1600,20 unequal: No Solution
Exploring Operation: 80+20=100, Resulting Numbers: [100]
100,20 unequal: No Solution
No 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: 20:[74, 62, 10], Operations: ['80/8=10']
Exploring Operation: 74-10=64, Resulting Numbers: [62, 64]
Generated Node #0,3,0: 20:[62, 64] Operation: 74-10=64
Exploring Operation: 74+10=84, Resulting Numbers: [62, 84]
Generated Node #0,3,1: 20:[62, 84] Operation: 74+10=84
Exploring Operation: 74-62=12, Resulting Numbers: [10, 12]
Generated Node #0,3,2: 20:[10, 12] Operation: 74-62=12
Exploring Operation: 62-10=52, Resulting Numbers: [74, 52]
Generated Node #0,3,3: 20:[74, 52] Operation: 62-10=52
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 20:[10, 12], Operations: ['80/8=10', '74-62=12']
Exploring Operation: 10+12=22, Resulting Numbers: [22]
22,20 unequal: No Solution
Exploring Operation: 10*12=120, Resulting Numbers: [120]
120,20 unequal: No Solution
Exploring Operation: 12-10=2, Resulting Numbers: [2]
2,20 unequal: No Solution
No 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: 20:[62, 64], Operations: ['80/8=10', '74-10=64']
Exploring Operation: 62+64=126, Resulting Numbers: [126]
126,20 unequal: No Solution
Exploring Operation: 64-62=2, Resulting Numbers: [2]
2,20 unequal: No Solution
Exploring Operation: 62*64=3968, Resulting Numbers: [3968]
3968,20 unequal: No Solution
No 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: 20:[74, 52], Operations: ['80/8=10', '62-10=52']
Exploring Operation: 74-52=22, Resulting Numbers: [22]
22,20 unequal: No Solution
Exploring Operation: 74+52=126, Resulting Numbers: [126]
126,20 unequal: No Solution
Exploring Operation: 74*52=3848, Resulting Numbers: [3848]
3848,20 unequal: No Solution
No 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: 20:[62, 84], Operations: ['80/8=10', '74+10=84']
Exploring Operation: 62*84=5208, Resulting Numbers: [5208]
5208,20 unequal: No Solution
Exploring Operation: 84-62=22, Resulting Numbers: [22]
22,20 unequal: No Solution
Exploring Operation: 62+84=146, Resulting Numbers: [146]
146,20 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 |
[
86,
59,
75,
80
] | 22 | [
"86-59=27",
"80-75=5",
"27-5=22"
] | Current State: 22:[86, 59, 75, 80], Operations: []
Exploring Operation: 86-59=27, Resulting Numbers: [75, 80, 27]
Generated Node #2: [75, 80, 27] from Operation: 86-59=27
Current State: 22:[75, 80, 27], Operations: ['86-59=27']
Exploring Operation: 80-75=5, Resulting Numbers: [27, 5]
Generated Node #3: [27, 5] from Operation: 80-75=5
Current State: 22:[27, 5], Operations: ['86-59=27', '80-75=5']
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[86, 59, 75, 80], Operations: []
Exploring Operation: 86-80=6, Resulting Numbers: [59, 75, 6]
Generated Node #0,0: 22:[59, 75, 6] Operation: 86-80=6
Exploring Operation: 80-75=5, Resulting Numbers: [86, 59, 5]
Generated Node #0,1: 22:[86, 59, 5] Operation: 80-75=5
Exploring Operation: 86-59=27, Resulting Numbers: [75, 80, 27]
Generated Node #0,2: 22:[75, 80, 27] Operation: 86-59=27
Exploring Operation: 86-75=11, Resulting Numbers: [59, 80, 11]
Generated Node #0,3: 22:[59, 80, 11] Operation: 86-75=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[59, 75, 6], Operations: ['86-80=6']
Exploring Operation: 59+6=65, Resulting Numbers: [75, 65]
Generated Node #0,0,0: 22:[75, 65] Operation: 59+6=65
Exploring Operation: 75-59=16, Resulting Numbers: [6, 16]
Generated Node #0,0,1: 22:[6, 16] Operation: 75-59=16
Exploring Operation: 75-6=69, Resulting Numbers: [59, 69]
Generated Node #0,0,2: 22:[59, 69] Operation: 75-6=69
Exploring Operation: 59-6=53, Resulting Numbers: [75, 53]
Generated Node #0,0,3: 22:[75, 53] Operation: 59-6=53
Moving to Node #0,0,1
Current State: 22:[6, 16], Operations: ['86-80=6', '75-59=16']
Exploring Operation: 6+16=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[86, 59, 75, 80], Operations: []
Exploring Operation: 86-80=6, Resulting Numbers: [59, 75, 6]
Generated Node #0,0: 22:[59, 75, 6] Operation: 86-80=6
Moving to Node #0,0
Current State: 22:[59, 75, 6], Operations: ['86-80=6']
Exploring Operation: 75-59=16, Resulting Numbers: [6, 16]
Generated Node #0,0,1: 22:[6, 16] Operation: 75-59=16
Moving to Node #0,0,1
Current State: 22:[6, 16], Operations: ['86-80=6', '75-59=16']
Exploring Operation: 6+16=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
86,
56,
75,
1
] | 44 | [
"86-56=30",
"75-1=74",
"74-30=44"
] | Current State: 44:[86, 56, 75, 1], Operations: []
Exploring Operation: 86-56=30, Resulting Numbers: [75, 1, 30]
Generated Node #2: [75, 1, 30] from Operation: 86-56=30
Current State: 44:[75, 1, 30], Operations: ['86-56=30']
Exploring Operation: 75-1=74, Resulting Numbers: [30, 74]
Generated Node #3: [30, 74] from Operation: 75-1=74
Current State: 44:[30, 74], Operations: ['86-56=30', '75-1=74']
Exploring Operation: 74-30=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[86, 56, 75, 1], Operations: []
Exploring Operation: 86-75=11, Resulting Numbers: [56, 1, 11]
Generated Node #0,0: 44:[56, 1, 11] Operation: 86-75=11
Exploring Operation: 75-56=19, Resulting Numbers: [86, 1, 19]
Generated Node #0,1: 44:[86, 1, 19] Operation: 75-56=19
Exploring Operation: 86-56=30, Resulting Numbers: [75, 1, 30]
Generated Node #0,2: 44:[75, 1, 30] Operation: 86-56=30
Moving to Node #0,0
Current State: 44:[56, 1, 11], Operations: ['86-75=11']
Exploring Operation: 56-11=45, Resulting Numbers: [1, 45]
Generated Node #0,0,0: 44:[1, 45] Operation: 56-11=45
Exploring Operation: 56*1=56, Resulting Numbers: [11, 56]
Generated Node #0,0,1: 44:[11, 56] Operation: 56*1=56
Exploring Operation: 56-1=55, Resulting Numbers: [11, 55]
Generated Node #0,0,2: 44:[11, 55] Operation: 56-1=55
Moving to Node #0,2
Current State: 44:[75, 1, 30], Operations: ['86-56=30']
Exploring Operation: 75-30=45, Resulting Numbers: [1, 45]
Generated Node #0,2,0: 44:[1, 45] Operation: 75-30=45
Exploring Operation: 75-1=74, Resulting Numbers: [30, 74]
Generated Node #0,2,1: 44:[30, 74] Operation: 75-1=74
Exploring Operation: 30-1=29, Resulting Numbers: [75, 29]
Generated Node #0,2,2: 44:[75, 29] Operation: 30-1=29
Moving to Node #0,1
Current State: 44:[86, 1, 19], Operations: ['75-56=19']
Exploring Operation: 86-19=67, Resulting Numbers: [1, 67]
Generated Node #0,1,0: 44:[1, 67] Operation: 86-19=67
Exploring Operation: 86-1=85, Resulting Numbers: [19, 85]
Generated Node #0,1,1: 44:[19, 85] Operation: 86-1=85
Exploring Operation: 1+19=20, Resulting Numbers: [86, 20]
Generated Node #0,1,2: 44:[86, 20] Operation: 1+19=20
Moving to Node #0,0,0
Current State: 44:[1, 45], Operations: ['86-75=11', '56-11=45']
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[86, 56, 75, 1], Operations: []
Exploring Operation: 86-75=11, Resulting Numbers: [56, 1, 11]
Generated Node #0,0: 44:[56, 1, 11] Operation: 86-75=11
Moving to Node #0,0
Current State: 44:[56, 1, 11], Operations: ['86-75=11']
Exploring Operation: 56-11=45, Resulting Numbers: [1, 45]
Generated Node #0,0,0: 44:[1, 45] Operation: 56-11=45
Moving to Node #0,0,0
Current State: 44:[1, 45], Operations: ['86-75=11', '56-11=45']
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 0.985243 | hs_3 | mult_heuristic |
[
79,
27,
37,
4
] | 93 | [
"79-27=52",
"37+4=41",
"52+41=93"
] | Current State: 93:[79, 27, 37, 4], Operations: []
Exploring Operation: 79-27=52, Resulting Numbers: [37, 4, 52]
Generated Node #2: [37, 4, 52] from Operation: 79-27=52
Current State: 93:[37, 4, 52], Operations: ['79-27=52']
Exploring Operation: 37+4=41, Resulting Numbers: [52, 41]
Generated Node #3: [52, 41] from Operation: 37+4=41
Current State: 93:[52, 41], Operations: ['79-27=52', '37+4=41']
Exploring Operation: 52+41=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[79, 27, 37, 4], Operations: []
Exploring Operation: 37-4=33, Resulting Numbers: [79, 27, 33]
Generated Node #0,0: 93:[79, 27, 33] Operation: 37-4=33
Exploring Operation: 79+4=83, Resulting Numbers: [27, 37, 83]
Generated Node #0,1: 93:[27, 37, 83] Operation: 79+4=83
Exploring Operation: 27+4=31, Resulting Numbers: [79, 37, 31]
Generated Node #0,2: 93:[79, 37, 31] Operation: 27+4=31
Exploring Operation: 79-37=42, Resulting Numbers: [27, 4, 42]
Generated Node #0,3: 93:[27, 4, 42] Operation: 79-37=42
Exploring Operation: 79+27=106, Resulting Numbers: [37, 4, 106]
Generated Node #0,4: 93:[37, 4, 106] Operation: 79+27=106
Start Sub Search at level 1: Moving to Node #0,3
Current State: 93:[27, 4, 42], Operations: ['79-37=42']
Exploring Operation: 27+4=31, Resulting Numbers: [42, 31]
Generated Node #0,3,0: 93:[42, 31] Operation: 27+4=31
Exploring Operation: 27-4=23, Resulting Numbers: [42, 23]
Generated Node #0,3,1: 93:[42, 23] Operation: 27-4=23
Exploring Operation: 42-4=38, Resulting Numbers: [27, 38]
Generated Node #0,3,2: 93:[27, 38] Operation: 42-4=38
Exploring Operation: 4+42=46, Resulting Numbers: [27, 46]
Generated Node #0,3,3: 93:[27, 46] Operation: 4+42=46
Exploring Operation: 42-27=15, Resulting Numbers: [4, 15]
Generated Node #0,3,4: 93:[4, 15] Operation: 42-27=15
Moving to Node #0,3,0
Current State: 93:[42, 31], Operations: ['79-37=42', '27+4=31']
Exploring Operation: 42+31=73, Resulting Numbers: [73]
73,93 unequal: No Solution
Exploring Operation: 42*31=1302, Resulting Numbers: [1302]
1302,93 unequal: No Solution
Exploring Operation: 42-31=11, Resulting Numbers: [11]
11,93 unequal: No Solution
Moving to Node #0,3,2
Current State: 93:[27, 38], Operations: ['79-37=42', '42-4=38']
Exploring Operation: 38-27=11, Resulting Numbers: [11]
11,93 unequal: No Solution
Exploring Operation: 27+38=65, Resulting Numbers: [65]
65,93 unequal: No Solution
Exploring Operation: 27*38=1026, Resulting Numbers: [1026]
1026,93 unequal: No Solution
Moving to Node #0,3,4
Current State: 93:[4, 15], Operations: ['79-37=42', '42-27=15']
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,93 unequal: No Solution
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,93 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,93 unequal: No Solution
Moving to Node #0,3,1
Current State: 93:[42, 23], Operations: ['79-37=42', '27-4=23']
Exploring Operation: 42+23=65, Resulting Numbers: [65]
65,93 unequal: No Solution
Exploring Operation: 42-23=19, Resulting Numbers: [19]
19,93 unequal: No Solution
Exploring Operation: 42*23=966, Resulting Numbers: [966]
966,93 unequal: No Solution
Moving to Node #0,3,3
Current State: 93:[27, 46], Operations: ['79-37=42', '4+42=46']
Exploring Operation: 27*46=1242, Resulting Numbers: [1242]
1242,93 unequal: No Solution
Exploring Operation: 27+46=73, Resulting Numbers: [73]
73,93 unequal: No Solution
Exploring Operation: 46-27=19, Resulting Numbers: [19]
19,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[79, 27, 33], Operations: ['37-4=33']
Exploring Operation: 79-27=52, Resulting Numbers: [33, 52]
Generated Node #0,0,0: 93:[33, 52] Operation: 79-27=52
Exploring Operation: 79-33=46, Resulting Numbers: [27, 46]
Generated Node #0,0,1: 93:[27, 46] Operation: 79-33=46
Exploring Operation: 79+33=112, Resulting Numbers: [27, 112]
Generated Node #0,0,2: 93:[27, 112] Operation: 79+33=112
Exploring Operation: 79+27=106, Resulting Numbers: [33, 106]
Generated Node #0,0,3: 93:[33, 106] Operation: 79+27=106
Exploring Operation: 33-27=6, Resulting Numbers: [79, 6]
Generated Node #0,0,4: 93:[79, 6] Operation: 33-27=6
Moving to Node #0,0,3
Current State: 93:[33, 106], Operations: ['37-4=33', '79+27=106']
Exploring Operation: 106-33=73, Resulting Numbers: [73]
73,93 unequal: No Solution
Exploring Operation: 33*106=3498, Resulting Numbers: [3498]
3498,93 unequal: No Solution
Exploring Operation: 33+106=139, Resulting Numbers: [139]
139,93 unequal: No Solution
Moving to Node #0,0,4
Current State: 93:[79, 6], Operations: ['37-4=33', '33-27=6']
Exploring Operation: 79+6=85, Resulting Numbers: [85]
85,93 unequal: No Solution
Exploring Operation: 79*6=474, Resulting Numbers: [474]
474,93 unequal: No Solution
Exploring Operation: 79-6=73, Resulting Numbers: [73]
73,93 unequal: No Solution
Moving to Node #0,0,1
Current State: 93:[27, 46], Operations: ['37-4=33', '79-33=46']
Exploring Operation: 27+46=73, Resulting Numbers: [73]
73,93 unequal: No Solution
Exploring Operation: 27*46=1242, Resulting Numbers: [1242]
1242,93 unequal: No Solution
Exploring Operation: 46-27=19, Resulting Numbers: [19]
19,93 unequal: No Solution
Moving to Node #0,0,0
Current State: 93:[33, 52], Operations: ['37-4=33', '79-27=52']
Exploring Operation: 33+52=85, Resulting Numbers: [85]
85,93 unequal: No Solution
Exploring Operation: 52-33=19, Resulting Numbers: [19]
19,93 unequal: No Solution
Exploring Operation: 33*52=1716, Resulting Numbers: [1716]
1716,93 unequal: No Solution
Moving to Node #0,0,2
Current State: 93:[27, 112], Operations: ['37-4=33', '79+33=112']
Exploring Operation: 27+112=139, Resulting Numbers: [139]
139,93 unequal: No Solution
Exploring Operation: 112-27=85, Resulting Numbers: [85]
85,93 unequal: No Solution
Exploring Operation: 27*112=3024, Resulting Numbers: [3024]
3024,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[27, 37, 83], Operations: ['79+4=83']
Exploring Operation: 83-27=56, Resulting Numbers: [37, 56]
Generated Node #0,1,0: 93:[37, 56] Operation: 83-27=56
Exploring Operation: 27+83=110, Resulting Numbers: [37, 110]
Generated Node #0,1,1: 93:[37, 110] Operation: 27+83=110
Exploring Operation: 37-27=10, Resulting Numbers: [83, 10]
Generated Node #0,1,2: 93:[83, 10] Operation: 37-27=10
Exploring Operation: 83-37=46, Resulting Numbers: [27, 46]
Generated Node #0,1,3: 93:[27, 46] Operation: 83-37=46
Exploring Operation: 37+83=120, Resulting Numbers: [27, 120]
Generated Node #0,1,4: 93:[27, 120] Operation: 37+83=120
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 93:[83, 10], Operations: ['79+4=83', '37-27=10']
Exploring Operation: 83-10=73, Resulting Numbers: [73]
73,93 unequal: No Solution
Exploring Operation: 83*10=830, Resulting Numbers: [830]
830,93 unequal: No Solution
Exploring Operation: 83+10=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[79, 27, 37, 4], Operations: []
Exploring Operation: 79+4=83, Resulting Numbers: [27, 37, 83]
Generated Node #0,1: 93:[27, 37, 83] Operation: 79+4=83
Moving to Node #0,1
Current State: 93:[27, 37, 83], Operations: ['79+4=83']
Exploring Operation: 37-27=10, Resulting Numbers: [83, 10]
Generated Node #0,1,2: 93:[83, 10] Operation: 37-27=10
Moving to Node #0,1,2
Current State: 93:[83, 10], Operations: ['79+4=83', '37-27=10']
Exploring Operation: 83+10=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.950521 | hs_5 | mult_heuristic |
[
90,
25,
16,
36
] | 46 | [
"25-16=9",
"90/9=10",
"36+10=46"
] | Current State: 46:[90, 25, 16, 36], Operations: []
Exploring Operation: 25-16=9, Resulting Numbers: [90, 36, 9]
Generated Node #2: [90, 36, 9] from Operation: 25-16=9
Current State: 46:[90, 36, 9], Operations: ['25-16=9']
Exploring Operation: 90/9=10, Resulting Numbers: [36, 10]
Generated Node #3: [36, 10] from Operation: 90/9=10
Current State: 46:[36, 10], Operations: ['25-16=9', '90/9=10']
Exploring Operation: 36+10=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[90, 25, 16, 36], Operations: []
Exploring Operation: 90-25=65, Resulting Numbers: [16, 36, 65]
Generated Node #0,0: 46:[16, 36, 65] Operation: 90-25=65
Exploring Operation: 90-16=74, Resulting Numbers: [25, 36, 74]
Generated Node #0,1: 46:[25, 36, 74] Operation: 90-16=74
Exploring Operation: 90-36=54, Resulting Numbers: [25, 16, 54]
Generated Node #0,2: 46:[25, 16, 54] Operation: 90-36=54
Start Sub Search at level 1: Moving to Node #0,2
Current State: 46:[25, 16, 54], Operations: ['90-36=54']
Exploring Operation: 54-25=29, Resulting Numbers: [16, 29]
Generated Node #0,2,0: 46:[16, 29] Operation: 54-25=29
Exploring Operation: 54-16=38, Resulting Numbers: [25, 38]
Generated Node #0,2,1: 46:[25, 38] Operation: 54-16=38
Exploring Operation: 25+16=41, Resulting Numbers: [54, 41]
Generated Node #0,2,2: 46:[54, 41] Operation: 25+16=41
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 46:[25, 38], Operations: ['90-36=54', '54-16=38']
Exploring Operation: 38-25=13, Resulting Numbers: [13]
13,46 unequal: No Solution
Exploring Operation: 25*38=950, Resulting Numbers: [950]
950,46 unequal: No Solution
Exploring Operation: 25+38=63, Resulting Numbers: [63]
63,46 unequal: No Solution
No 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: 46:[16, 29], Operations: ['90-36=54', '54-25=29']
Exploring Operation: 16*29=464, Resulting Numbers: [464]
464,46 unequal: No Solution
Exploring Operation: 29-16=13, Resulting Numbers: [13]
13,46 unequal: No Solution
Exploring Operation: 16+29=45, Resulting Numbers: [45]
45,46 unequal: No Solution
No 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: 46:[54, 41], Operations: ['90-36=54', '25+16=41']
Exploring Operation: 54*41=2214, Resulting Numbers: [2214]
2214,46 unequal: No Solution
Exploring Operation: 54+41=95, Resulting Numbers: [95]
95,46 unequal: No Solution
Exploring Operation: 54-41=13, Resulting Numbers: [13]
13,46 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: 46:[16, 36, 65], Operations: ['90-25=65']
Exploring Operation: 65-36=29, Resulting Numbers: [16, 29]
Generated Node #0,0,0: 46:[16, 29] Operation: 65-36=29
Exploring Operation: 36-16=20, Resulting Numbers: [65, 20]
Generated Node #0,0,1: 46:[65, 20] Operation: 36-16=20
Exploring Operation: 65-16=49, Resulting Numbers: [36, 49]
Generated Node #0,0,2: 46:[36, 49] Operation: 65-16=49
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 46:[16, 29], Operations: ['90-25=65', '65-36=29']
Exploring Operation: 29-16=13, Resulting Numbers: [13]
13,46 unequal: No Solution
Exploring Operation: 16+29=45, Resulting Numbers: [45]
45,46 unequal: No Solution
Exploring Operation: 16*29=464, Resulting Numbers: [464]
464,46 unequal: No Solution
No 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: 46:[36, 49], Operations: ['90-25=65', '65-16=49']
Exploring Operation: 49-36=13, Resulting Numbers: [13]
13,46 unequal: No Solution
Exploring Operation: 36+49=85, Resulting Numbers: [85]
85,46 unequal: No Solution
Exploring Operation: 36*49=1764, Resulting Numbers: [1764]
1764,46 unequal: No Solution
No 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: 46:[65, 20], Operations: ['90-25=65', '36-16=20']
Exploring Operation: 65*20=1300, Resulting Numbers: [1300]
1300,46 unequal: No Solution
Exploring Operation: 65+20=85, Resulting Numbers: [85]
85,46 unequal: No Solution
Exploring Operation: 65-20=45, Resulting Numbers: [45]
45,46 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: 46:[25, 36, 74], Operations: ['90-16=74']
Exploring Operation: 36-25=11, Resulting Numbers: [74, 11]
Generated Node #0,1,0: 46:[74, 11] Operation: 36-25=11
Exploring Operation: 74-25=49, Resulting Numbers: [36, 49]
Generated Node #0,1,1: 46:[36, 49] Operation: 74-25=49
Exploring Operation: 74-36=38, Resulting Numbers: [25, 38]
Generated Node #0,1,2: 46:[25, 38] Operation: 74-36=38
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 46:[25, 38], Operations: ['90-16=74', '74-36=38']
Exploring Operation: 25+38=63, Resulting Numbers: [63]
63,46 unequal: No Solution
Exploring Operation: 38-25=13, Resulting Numbers: [13]
13,46 unequal: No Solution
Exploring Operation: 25*38=950, Resulting Numbers: [950]
950,46 unequal: No Solution
No 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: 46:[36, 49], Operations: ['90-16=74', '74-25=49']
Exploring Operation: 36+49=85, Resulting Numbers: [85]
85,46 unequal: No Solution
Exploring Operation: 49-36=13, Resulting Numbers: [13]
13,46 unequal: No Solution
Exploring Operation: 36*49=1764, Resulting Numbers: [1764]
1764,46 unequal: No Solution
No 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: 46:[74, 11], Operations: ['90-16=74', '36-25=11']
Exploring Operation: 74-11=63, Resulting Numbers: [63]
63,46 unequal: No Solution
Exploring Operation: 74+11=85, Resulting Numbers: [85]
85,46 unequal: No Solution
Exploring Operation: 74*11=814, Resulting Numbers: [814]
814,46 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 |
[
91,
42,
45,
22
] | 72 | [
"91-42=49",
"45-22=23",
"49+23=72"
] | Current State: 72:[91, 42, 45, 22], Operations: []
Exploring Operation: 91-42=49, Resulting Numbers: [45, 22, 49]
Generated Node #2: [45, 22, 49] from Operation: 91-42=49
Current State: 72:[45, 22, 49], Operations: ['91-42=49']
Exploring Operation: 45-22=23, Resulting Numbers: [49, 23]
Generated Node #3: [49, 23] from Operation: 45-22=23
Current State: 72:[49, 23], Operations: ['91-42=49', '45-22=23']
Exploring Operation: 49+23=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[91, 42, 45, 22], Operations: []
Exploring Operation: 91-45=46, Resulting Numbers: [42, 22, 46]
Generated Node #0,0: 72:[42, 22, 46] Operation: 91-45=46
Exploring Operation: 45-42=3, Resulting Numbers: [91, 22, 3]
Generated Node #0,1: 72:[91, 22, 3] Operation: 45-42=3
Exploring Operation: 91-22=69, Resulting Numbers: [42, 45, 69]
Generated Node #0,2: 72:[42, 45, 69] Operation: 91-22=69
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[42, 22, 46], Operations: ['91-45=46']
Exploring Operation: 22+46=68, Resulting Numbers: [42, 68]
Generated Node #0,0,0: 72:[42, 68] Operation: 22+46=68
Exploring Operation: 46-42=4, Resulting Numbers: [22, 4]
Generated Node #0,0,1: 72:[22, 4] Operation: 46-42=4
Exploring Operation: 46-22=24, Resulting Numbers: [42, 24]
Generated Node #0,0,2: 72:[42, 24] Operation: 46-22=24
Moving to Node #0,0,1
Current State: 72:[22, 4], Operations: ['91-45=46', '46-42=4']
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,72 unequal: No Solution
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,72 unequal: No Solution
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,72 unequal: No Solution
Moving to Node #0,0,2
Current State: 72:[42, 24], Operations: ['91-45=46', '46-22=24']
Exploring Operation: 42+24=66, Resulting Numbers: [66]
66,72 unequal: No Solution
Exploring Operation: 42-24=18, Resulting Numbers: [18]
18,72 unequal: No Solution
Exploring Operation: 42*24=1008, Resulting Numbers: [1008]
1008,72 unequal: No Solution
Moving to Node #0,0,0
Current State: 72:[42, 68], Operations: ['91-45=46', '22+46=68']
Exploring Operation: 42+68=110, Resulting Numbers: [110]
110,72 unequal: No Solution
Exploring Operation: 68-42=26, Resulting Numbers: [26]
26,72 unequal: No Solution
Exploring Operation: 42*68=2856, Resulting Numbers: [2856]
2856,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 72:[42, 45, 69], Operations: ['91-22=69']
Exploring Operation: 45-42=3, Resulting Numbers: [69, 3]
Generated Node #0,2,0: 72:[69, 3] Operation: 45-42=3
Exploring Operation: 69-42=27, Resulting Numbers: [45, 27]
Generated Node #0,2,1: 72:[45, 27] Operation: 69-42=27
Exploring Operation: 69-45=24, Resulting Numbers: [42, 24]
Generated Node #0,2,2: 72:[42, 24] Operation: 69-45=24
Moving to Node #0,2,0
Current State: 72:[69, 3], Operations: ['91-22=69', '45-42=3']
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[91, 42, 45, 22], Operations: []
Exploring Operation: 91-22=69, Resulting Numbers: [42, 45, 69]
Generated Node #0,2: 72:[42, 45, 69] Operation: 91-22=69
Moving to Node #0,2
Current State: 72:[42, 45, 69], Operations: ['91-22=69']
Exploring Operation: 45-42=3, Resulting Numbers: [69, 3]
Generated Node #0,2,0: 72:[69, 3] Operation: 45-42=3
Moving to Node #0,2,0
Current State: 72:[69, 3], Operations: ['91-22=69', '45-42=3']
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_3 | sum_heuristic |
[
43,
42,
40,
39
] | 53 | [
"43-40=3",
"42/3=14",
"39+14=53"
] | Current State: 53:[43, 42, 40, 39], Operations: []
Exploring Operation: 43-40=3, Resulting Numbers: [42, 39, 3]
Generated Node #2: [42, 39, 3] from Operation: 43-40=3
Current State: 53:[42, 39, 3], Operations: ['43-40=3']
Exploring Operation: 42/3=14, Resulting Numbers: [39, 14]
Generated Node #3: [39, 14] from Operation: 42/3=14
Current State: 53:[39, 14], Operations: ['43-40=3', '42/3=14']
Exploring Operation: 39+14=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[43, 42, 40, 39], Operations: []
Exploring Operation: 42+39=81, Resulting Numbers: [43, 40, 81]
Generated Node #0,0: 53:[43, 40, 81] Operation: 42+39=81
Exploring Operation: 40+39=79, Resulting Numbers: [43, 42, 79]
Generated Node #0,1: 53:[43, 42, 79] Operation: 40+39=79
Exploring Operation: 43+39=82, Resulting Numbers: [42, 40, 82]
Generated Node #0,2: 53:[42, 40, 82] Operation: 43+39=82
Moving to Node #0,1
Current State: 53:[43, 42, 79], Operations: ['40+39=79']
Exploring Operation: 79-43=36, Resulting Numbers: [42, 36]
Generated Node #0,1,0: 53:[42, 36] Operation: 79-43=36
Exploring Operation: 43+42=85, Resulting Numbers: [79, 85]
Generated Node #0,1,1: 53:[79, 85] Operation: 43+42=85
Exploring Operation: 79-42=37, Resulting Numbers: [43, 37]
Generated Node #0,1,2: 53:[43, 37] Operation: 79-42=37
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 53:[43, 37], Operations: ['40+39=79', '79-42=37']
Exploring Operation: 43*37=1591, Resulting Numbers: [1591]
1591,53 unequal: No Solution
Exploring Operation: 43+37=80, Resulting Numbers: [80]
80,53 unequal: No Solution
Exploring Operation: 43-37=6, Resulting Numbers: [6]
6,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 53:[42, 36], Operations: ['40+39=79', '79-43=36']
Exploring Operation: 42*36=1512, Resulting Numbers: [1512]
1512,53 unequal: No Solution
Exploring Operation: 42+36=78, Resulting Numbers: [78]
78,53 unequal: No Solution
Exploring Operation: 42-36=6, Resulting Numbers: [6]
6,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 53:[79, 85], Operations: ['40+39=79', '43+42=85']
Exploring Operation: 85-79=6, Resulting Numbers: [6]
6,53 unequal: No Solution
Exploring Operation: 79*85=6715, Resulting Numbers: [6715]
6715,53 unequal: No Solution
Exploring Operation: 79+85=164, Resulting Numbers: [164]
164,53 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: 53:[43, 40, 81], Operations: ['42+39=81']
Exploring Operation: 43+40=83, Resulting Numbers: [81, 83]
Generated Node #0,0,0: 53:[81, 83] Operation: 43+40=83
Exploring Operation: 81-40=41, Resulting Numbers: [43, 41]
Generated Node #0,0,1: 53:[43, 41] Operation: 81-40=41
Exploring Operation: 81-43=38, Resulting Numbers: [40, 38]
Generated Node #0,0,2: 53:[40, 38] Operation: 81-43=38
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 53:[43, 41], Operations: ['42+39=81', '81-40=41']
Exploring Operation: 43-41=2, Resulting Numbers: [2]
2,53 unequal: No Solution
Exploring Operation: 43*41=1763, Resulting Numbers: [1763]
1763,53 unequal: No Solution
Exploring Operation: 43+41=84, Resulting Numbers: [84]
84,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 53:[40, 38], Operations: ['42+39=81', '81-43=38']
Exploring Operation: 40+38=78, Resulting Numbers: [78]
78,53 unequal: No Solution
Exploring Operation: 40*38=1520, Resulting Numbers: [1520]
1520,53 unequal: No Solution
Exploring Operation: 40-38=2, Resulting Numbers: [2]
2,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[81, 83], Operations: ['42+39=81', '43+40=83']
Exploring Operation: 81*83=6723, Resulting Numbers: [6723]
6723,53 unequal: No Solution
Exploring Operation: 83-81=2, Resulting Numbers: [2]
2,53 unequal: No Solution
Exploring Operation: 81+83=164, Resulting Numbers: [164]
164,53 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: 53:[42, 40, 82], Operations: ['43+39=82']
Exploring Operation: 82-40=42, Resulting Numbers: [42, 42]
Generated Node #0,2,0: 53:[42, 42] Operation: 82-40=42
Exploring Operation: 42+40=82, Resulting Numbers: [82, 82]
Generated Node #0,2,1: 53:[82, 82] Operation: 42+40=82
Exploring Operation: 82-42=40, Resulting Numbers: [40, 40]
Generated Node #0,2,2: 53:[40, 40] Operation: 82-42=40
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 53:[42, 42], Operations: ['43+39=82', '82-40=42']
Exploring Operation: 42+42=84, Resulting Numbers: [84]
84,53 unequal: No Solution
Exploring Operation: 42-42=0, Resulting Numbers: [0]
0,53 unequal: No Solution
Exploring Operation: 42/42=1, Resulting Numbers: [1]
1,53 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 #0,2,2
Current State: 53:[40, 40], Operations: ['43+39=82', '82-42=40']
Exploring Operation: 40+40=80, Resulting Numbers: [80]
80,53 unequal: No Solution
Exploring Operation: 40/40=1, Resulting Numbers: [1]
1,53 unequal: No Solution
Exploring Operation: 40-40=0, Resulting Numbers: [0]
0,53 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 #0,2,1
Current State: 53:[82, 82], Operations: ['43+39=82', '42+40=82']
Exploring Operation: 82/82=1, Resulting Numbers: [1]
1,53 unequal: No Solution
Exploring Operation: 82+82=164, Resulting Numbers: [164]
164,53 unequal: No Solution
Exploring Operation: 82-82=0, Resulting Numbers: [0]
0,53 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 |
[
91,
48,
80,
65
] | 28 | [
"91-48=43",
"80-65=15",
"43-15=28"
] | Current State: 28:[91, 48, 80, 65], Operations: []
Exploring Operation: 91-48=43, Resulting Numbers: [80, 65, 43]
Generated Node #2: [80, 65, 43] from Operation: 91-48=43
Current State: 28:[80, 65, 43], Operations: ['91-48=43']
Exploring Operation: 80-65=15, Resulting Numbers: [43, 15]
Generated Node #3: [43, 15] from Operation: 80-65=15
Current State: 28:[43, 15], Operations: ['91-48=43', '80-65=15']
Exploring Operation: 43-15=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[91, 48, 80, 65], Operations: []
Exploring Operation: 91-80=11, Resulting Numbers: [48, 65, 11]
Generated Node #0,0: 28:[48, 65, 11] Operation: 91-80=11
Moving to Node #0,0
Current State: 28:[48, 65, 11], Operations: ['91-80=11']
Exploring Operation: 65-48=17, Resulting Numbers: [11, 17]
Generated Node #0,0,0: 28:[11, 17] Operation: 65-48=17
Moving to Node #0,0,0
Current State: 28:[11, 17], Operations: ['91-80=11', '65-48=17']
Exploring Operation: 11+17=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[91, 48, 80, 65], Operations: []
Exploring Operation: 91-80=11, Resulting Numbers: [48, 65, 11]
Generated Node #0,0: 28:[48, 65, 11] Operation: 91-80=11
Moving to Node #0,0
Current State: 28:[48, 65, 11], Operations: ['91-80=11']
Exploring Operation: 65-48=17, Resulting Numbers: [11, 17]
Generated Node #0,0,0: 28:[11, 17] Operation: 65-48=17
Moving to Node #0,0,0
Current State: 28:[11, 17], Operations: ['91-80=11', '65-48=17']
Exploring Operation: 11+17=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
9,
4,
4,
18
] | 18 | [
"9-4=5",
"5-4=1",
"18*1=18"
] | Current State: 18:[9, 4, 4, 18], Operations: []
Exploring Operation: 9-4=5, Resulting Numbers: [18, 5]
Generated Node #2: [18, 5] from Operation: 9-4=5
Current State: 18:[18, 5], Operations: ['9-4=5']
Exploring Operation: 5-4=1, Resulting Numbers: [18, 1]
Generated Node #3: [18, 1] from Operation: 5-4=1
Current State: 18:[18, 1], Operations: ['9-4=5', '5-4=1']
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[9, 4, 4, 18], Operations: []
Exploring Operation: 9-4=5, Resulting Numbers: [4, 18, 5]
Generated Node #0,0: 18:[4, 18, 5] Operation: 9-4=5
Exploring Operation: 9-4=5, Resulting Numbers: [4, 18, 5]
Generated Node #0,1: 18:[4, 18, 5] Operation: 9-4=5
Exploring Operation: 18-9=9, Resulting Numbers: [4, 4, 9]
Generated Node #0,2: 18:[4, 4, 9] Operation: 18-9=9
Exploring Operation: 4/4=1, Resulting Numbers: [9, 18, 1]
Generated Node #0,3: 18:[9, 18, 1] Operation: 4/4=1
Exploring Operation: 4+4=8, Resulting Numbers: [9, 18, 8]
Generated Node #0,4: 18:[9, 18, 8] Operation: 4+4=8
Moving to Node #0,3
Current State: 18:[9, 18, 1], Operations: ['4/4=1']
Exploring Operation: 9*1=9, Resulting Numbers: [18, 9]
Generated Node #0,3,0: 18:[18, 9] Operation: 9*1=9
Exploring Operation: 18-9=9, Resulting Numbers: [1, 9]
Generated Node #0,3,1: 18:[1, 9] Operation: 18-9=9
Exploring Operation: 18*1=18, Resulting Numbers: [9, 18]
Generated Node #0,3,2: 18:[9, 18] Operation: 18*1=18
Exploring Operation: 9/1=9, Resulting Numbers: [18, 9]
Generated Node #0,3,3: 18:[18, 9] Operation: 9/1=9
Exploring Operation: 18/1=18, Resulting Numbers: [9, 18]
Generated Node #0,3,4: 18:[9, 18] Operation: 18/1=18
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 18:[18, 9], Operations: ['4/4=1', '9*1=9']
Exploring Operation: 18*9=162, Resulting Numbers: [162]
162,18 unequal: No Solution
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,18 unequal: No Solution
Exploring Operation: 18+9=27, Resulting Numbers: [27]
27,18 unequal: No Solution
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 18:[9, 18], Operations: ['4/4=1', '18*1=18']
Exploring Operation: 9+18=27, Resulting Numbers: [27]
27,18 unequal: No Solution
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,18 unequal: No Solution
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,18 unequal: No Solution
Exploring Operation: 9*18=162, Resulting Numbers: [162]
162,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 18:[18, 9], Operations: ['4/4=1', '9/1=9']
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,18 unequal: No Solution
Exploring Operation: 18+9=27, Resulting Numbers: [27]
27,18 unequal: No Solution
Exploring Operation: 18*9=162, Resulting Numbers: [162]
162,18 unequal: No Solution
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 18:[9, 18], Operations: ['4/4=1', '18/1=18']
Exploring Operation: 9+18=27, Resulting Numbers: [27]
27,18 unequal: No Solution
Exploring Operation: 9*18=162, Resulting Numbers: [162]
162,18 unequal: No Solution
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,18 unequal: No Solution
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 18:[1, 9], Operations: ['4/4=1', '18-9=9']
Exploring Operation: 1+9=10, Resulting Numbers: [10]
10,18 unequal: No Solution
Exploring Operation: 9/1=9, Resulting Numbers: [9]
9,18 unequal: No Solution
Exploring Operation: 1*9=9, Resulting Numbers: [9]
9,18 unequal: No Solution
Exploring Operation: 9-1=8, Resulting Numbers: [8]
8,18 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: 18:[9, 18, 8], Operations: ['4+4=8']
Exploring Operation: 18-9=9, Resulting Numbers: [8, 9]
Generated Node #0,4,0: 18:[8, 9] Operation: 18-9=9
Exploring Operation: 9+8=17, Resulting Numbers: [18, 17]
Generated Node #0,4,1: 18:[18, 17] Operation: 9+8=17
Exploring Operation: 9-8=1, Resulting Numbers: [18, 1]
Generated Node #0,4,2: 18:[18, 1] Operation: 9-8=1
Exploring Operation: 18-8=10, Resulting Numbers: [9, 10]
Generated Node #0,4,3: 18:[9, 10] Operation: 18-8=10
Exploring Operation: 18/9=2, Resulting Numbers: [8, 2]
Generated Node #0,4,4: 18:[8, 2] Operation: 18/9=2
Moving to Node #0,0
Current State: 18:[4, 18, 5], Operations: ['9-4=5']
Exploring Operation: 5-4=1, Resulting Numbers: [18, 1]
Generated Node #0,0,0: 18:[18, 1] Operation: 5-4=1
Exploring Operation: 4*5=20, Resulting Numbers: [18, 20]
Generated Node #0,0,1: 18:[18, 20] Operation: 4*5=20
Exploring Operation: 4+5=9, Resulting Numbers: [18, 9]
Generated Node #0,0,2: 18:[18, 9] Operation: 4+5=9
Exploring Operation: 18-4=14, Resulting Numbers: [5, 14]
Generated Node #0,0,3: 18:[5, 14] Operation: 18-4=14
Exploring Operation: 4+18=22, Resulting Numbers: [5, 22]
Generated Node #0,0,4: 18:[5, 22] Operation: 4+18=22
Moving to Node #0,1
Current State: 18:[4, 18, 5], Operations: ['9-4=5']
Exploring Operation: 4*5=20, Resulting Numbers: [18, 20]
Generated Node #0,1,0: 18:[18, 20] Operation: 4*5=20
Exploring Operation: 18-4=14, Resulting Numbers: [5, 14]
Generated Node #0,1,1: 18:[5, 14] Operation: 18-4=14
Exploring Operation: 5-4=1, Resulting Numbers: [18, 1]
Generated Node #0,1,2: 18:[18, 1] Operation: 5-4=1
Exploring Operation: 4+18=22, Resulting Numbers: [5, 22]
Generated Node #0,1,3: 18:[5, 22] Operation: 4+18=22
Exploring Operation: 4+5=9, Resulting Numbers: [18, 9]
Generated Node #0,1,4: 18:[18, 9] Operation: 4+5=9
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 18:[18, 9], Operations: ['9-4=5', '4+5=9']
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,18 unequal: No Solution
Exploring Operation: 18*9=162, Resulting Numbers: [162]
162,18 unequal: No Solution
Exploring Operation: 18+9=27, Resulting Numbers: [27]
27,18 unequal: No Solution
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 18:[18, 1], Operations: ['9-4=5', '5-4=1']
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[9, 4, 4, 18], Operations: []
Exploring Operation: 9-4=5, Resulting Numbers: [4, 18, 5]
Generated Node #0,1: 18:[4, 18, 5] Operation: 9-4=5
Moving to Node #0,1
Current State: 18:[4, 18, 5], Operations: ['9-4=5']
Exploring Operation: 5-4=1, Resulting Numbers: [18, 1]
Generated Node #0,1,2: 18:[18, 1] Operation: 5-4=1
Moving to Node #0,1,2
Current State: 18:[18, 1], Operations: ['9-4=5', '5-4=1']
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.953125 | hs_5 | mult_heuristic |
[
28,
62,
48,
64
] | 18 | [
"62-28=34",
"64-48=16",
"34-16=18"
] | Current State: 18:[28, 62, 48, 64], Operations: []
Exploring Operation: 62-28=34, Resulting Numbers: [48, 64, 34]
Generated Node #2: [48, 64, 34] from Operation: 62-28=34
Current State: 18:[48, 64, 34], Operations: ['62-28=34']
Exploring Operation: 64-48=16, Resulting Numbers: [34, 16]
Generated Node #3: [34, 16] from Operation: 64-48=16
Current State: 18:[34, 16], Operations: ['62-28=34', '64-48=16']
Exploring Operation: 34-16=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[28, 62, 48, 64], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [28, 48, 2]
Generated Node #0,0: 18:[28, 48, 2] Operation: 64-62=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[28, 48, 2], Operations: ['64-62=2']
Exploring Operation: 48-28=20, Resulting Numbers: [2, 20]
Generated Node #0,0,0: 18:[2, 20] Operation: 48-28=20
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 18:[2, 20], Operations: ['64-62=2', '48-28=20']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[28, 62, 48, 64], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [28, 48, 2]
Generated Node #0,0: 18:[28, 48, 2] Operation: 64-62=2
Moving to Node #0,0
Current State: 18:[28, 48, 2], Operations: ['64-62=2']
Exploring Operation: 48-28=20, Resulting Numbers: [2, 20]
Generated Node #0,0,0: 18:[2, 20] Operation: 48-28=20
Moving to Node #0,0,0
Current State: 18:[2, 20], Operations: ['64-62=2', '48-28=20']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
33,
11,
87,
39
] | 74 | [
"33/11=3",
"39/3=13",
"87-13=74"
] | Current State: 74:[33, 11, 87, 39], Operations: []
Exploring Operation: 33/11=3, Resulting Numbers: [87, 39, 3]
Generated Node #2: [87, 39, 3] from Operation: 33/11=3
Current State: 74:[87, 39, 3], Operations: ['33/11=3']
Exploring Operation: 39/3=13, Resulting Numbers: [87, 13]
Generated Node #3: [87, 13] from Operation: 39/3=13
Current State: 74:[87, 13], Operations: ['33/11=3', '39/3=13']
Exploring Operation: 87-13=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[33, 11, 87, 39], Operations: []
Exploring Operation: 87-11=76, Resulting Numbers: [33, 39, 76]
Generated Node #0,0: 74:[33, 39, 76] Operation: 87-11=76
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[33, 39, 76], Operations: ['87-11=76']
Exploring Operation: 33+39=72, Resulting Numbers: [76, 72]
Generated Node #0,0,0: 74:[76, 72] Operation: 33+39=72
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 74:[76, 72], Operations: ['87-11=76', '33+39=72']
Exploring Operation: 76-72=4, Resulting Numbers: [4]
4,74 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 |
[
97,
53,
17,
42
] | 91 | [
"97+53=150",
"17+42=59",
"150-59=91"
] | Current State: 91:[97, 53, 17, 42], Operations: []
Exploring Operation: 97+53=150, Resulting Numbers: [17, 42, 150]
Generated Node #2: [17, 42, 150] from Operation: 97+53=150
Current State: 91:[17, 42, 150], Operations: ['97+53=150']
Exploring Operation: 17+42=59, Resulting Numbers: [150, 59]
Generated Node #3: [150, 59] from Operation: 17+42=59
Current State: 91:[150, 59], Operations: ['97+53=150', '17+42=59']
Exploring Operation: 150-59=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[97, 53, 17, 42], Operations: []
Exploring Operation: 53+42=95, Resulting Numbers: [97, 17, 95]
Generated Node #0,0: 91:[97, 17, 95] Operation: 53+42=95
Exploring Operation: 53+17=70, Resulting Numbers: [97, 42, 70]
Generated Node #0,1: 91:[97, 42, 70] Operation: 53+17=70
Exploring Operation: 53-42=11, Resulting Numbers: [97, 17, 11]
Generated Node #0,2: 91:[97, 17, 11] Operation: 53-42=11
Moving to Node #0,2
Current State: 91:[97, 17, 11], Operations: ['53-42=11']
Exploring Operation: 97-17=80, Resulting Numbers: [11, 80]
Generated Node #0,2,0: 91:[11, 80] Operation: 97-17=80
Exploring Operation: 17-11=6, Resulting Numbers: [97, 6]
Generated Node #0,2,1: 91:[97, 6] Operation: 17-11=6
Exploring Operation: 97-11=86, Resulting Numbers: [17, 86]
Generated Node #0,2,2: 91:[17, 86] Operation: 97-11=86
Moving to Node #0,0
Current State: 91:[97, 17, 95], Operations: ['53+42=95']
Exploring Operation: 95-17=78, Resulting Numbers: [97, 78]
Generated Node #0,0,0: 91:[97, 78] Operation: 95-17=78
Exploring Operation: 97-17=80, Resulting Numbers: [95, 80]
Generated Node #0,0,1: 91:[95, 80] Operation: 97-17=80
Exploring Operation: 97-95=2, Resulting Numbers: [17, 2]
Generated Node #0,0,2: 91:[17, 2] Operation: 97-95=2
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 91:[17, 2], Operations: ['53+42=95', '97-95=2']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,91 unequal: No Solution
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,91 unequal: No Solution
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,91 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 #0,0,1
Current State: 91:[95, 80], Operations: ['53+42=95', '97-17=80']
Exploring Operation: 95-80=15, Resulting Numbers: [15]
15,91 unequal: No Solution
Exploring Operation: 95+80=175, Resulting Numbers: [175]
175,91 unequal: No Solution
Exploring Operation: 95*80=7600, Resulting Numbers: [7600]
7600,91 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:[97, 78], Operations: ['53+42=95', '95-17=78']
Exploring Operation: 97+78=175, Resulting Numbers: [175]
175,91 unequal: No Solution
Exploring Operation: 97*78=7566, Resulting Numbers: [7566]
7566,91 unequal: No Solution
Exploring Operation: 97-78=19, Resulting Numbers: [19]
19,91 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:[97, 42, 70], Operations: ['53+17=70']
Exploring Operation: 97-70=27, Resulting Numbers: [42, 27]
Generated Node #0,1,0: 91:[42, 27] Operation: 97-70=27
Exploring Operation: 42+70=112, Resulting Numbers: [97, 112]
Generated Node #0,1,1: 91:[97, 112] Operation: 42+70=112
Exploring Operation: 70-42=28, Resulting Numbers: [97, 28]
Generated Node #0,1,2: 91:[97, 28] Operation: 70-42=28
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 91:[97, 28], Operations: ['53+17=70', '70-42=28']
Exploring Operation: 97-28=69, Resulting Numbers: [69]
69,91 unequal: No Solution
Exploring Operation: 97*28=2716, Resulting Numbers: [2716]
2716,91 unequal: No Solution
Exploring Operation: 97+28=125, Resulting Numbers: [125]
125,91 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:[97, 112], Operations: ['53+17=70', '42+70=112']
Exploring Operation: 112-97=15, Resulting Numbers: [15]
15,91 unequal: No Solution
Exploring Operation: 97*112=10864, Resulting Numbers: [10864]
10864,91 unequal: No Solution
Exploring Operation: 97+112=209, Resulting Numbers: [209]
209,91 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 #0,1,0
Current State: 91:[42, 27], Operations: ['53+17=70', '97-70=27']
Exploring Operation: 42+27=69, Resulting Numbers: [69]
69,91 unequal: No Solution
Exploring Operation: 42*27=1134, Resulting Numbers: [1134]
1134,91 unequal: No Solution
Exploring Operation: 42-27=15, Resulting Numbers: [15]
15,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 91:[97, 6], Operations: ['53-42=11', '17-11=6']
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[97, 53, 17, 42], Operations: []
Exploring Operation: 53-42=11, Resulting Numbers: [97, 17, 11]
Generated Node #0,2: 91:[97, 17, 11] Operation: 53-42=11
Moving to Node #0,2
Current State: 91:[97, 17, 11], Operations: ['53-42=11']
Exploring Operation: 17-11=6, Resulting Numbers: [97, 6]
Generated Node #0,2,1: 91:[97, 6] Operation: 17-11=6
Moving to Node #0,2,1
Current State: 91:[97, 6], Operations: ['53-42=11', '17-11=6']
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 0.969618 | hs_3 | sum_heuristic |
[
5,
34,
34,
72
] | 77 | [
"5+34=39",
"72-34=38",
"39+38=77"
] | Current State: 77:[5, 34, 34, 72], Operations: []
Exploring Operation: 5+34=39, Resulting Numbers: [72, 39]
Generated Node #2: [72, 39] from Operation: 5+34=39
Current State: 77:[72, 39], Operations: ['5+34=39']
Exploring Operation: 72-34=38, Resulting Numbers: [39, 38]
Generated Node #3: [39, 38] from Operation: 72-34=38
Current State: 77:[39, 38], Operations: ['5+34=39', '72-34=38']
Exploring Operation: 39+38=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[5, 34, 34, 72], Operations: []
Exploring Operation: 34-34=0, Resulting Numbers: [5, 72, 0]
Generated Node #0,0: 77:[5, 72, 0] Operation: 34-34=0
Exploring Operation: 34/34=1, Resulting Numbers: [5, 72, 1]
Generated Node #0,1: 77:[5, 72, 1] Operation: 34/34=1
Exploring Operation: 34+34=68, Resulting Numbers: [5, 72, 68]
Generated Node #0,2: 77:[5, 72, 68] Operation: 34+34=68
Moving to Node #0,1
Current State: 77:[5, 72, 1], Operations: ['34/34=1']
Exploring Operation: 72+1=73, Resulting Numbers: [5, 73]
Generated Node #0,1,0: 77:[5, 73] Operation: 72+1=73
Exploring Operation: 5+1=6, Resulting Numbers: [72, 6]
Generated Node #0,1,1: 77:[72, 6] Operation: 5+1=6
Exploring Operation: 5+72=77, Resulting Numbers: [1, 77]
Generated Node #0,1,2: 77:[1, 77] Operation: 5+72=77
Moving to Node #0,0
Current State: 77:[5, 72, 0], Operations: ['34-34=0']
Exploring Operation: 5-0=5, Resulting Numbers: [72, 5]
Generated Node #0,0,0: 77:[72, 5] Operation: 5-0=5
Exploring Operation: 5+72=77, Resulting Numbers: [0, 77]
Generated Node #0,0,1: 77:[0, 77] Operation: 5+72=77
Exploring Operation: 5+0=5, Resulting Numbers: [72, 5]
Generated Node #0,0,2: 77:[72, 5] Operation: 5+0=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 77:[72, 5], Operations: ['34-34=0', '5-0=5']
Exploring Operation: 72-5=67, Resulting Numbers: [67]
67,77 unequal: No Solution
Exploring Operation: 72*5=360, Resulting Numbers: [360]
360,77 unequal: No Solution
Exploring Operation: 72+5=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[5, 34, 34, 72], Operations: []
Exploring Operation: 34-34=0, Resulting Numbers: [5, 72, 0]
Generated Node #0,0: 77:[5, 72, 0] Operation: 34-34=0
Moving to Node #0,0
Current State: 77:[5, 72, 0], Operations: ['34-34=0']
Exploring Operation: 5-0=5, Resulting Numbers: [72, 5]
Generated Node #0,0,0: 77:[72, 5] Operation: 5-0=5
Moving to Node #0,0,0
Current State: 77:[72, 5], Operations: ['34-34=0', '5-0=5']
Exploring Operation: 72+5=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | sum_heuristic |
[
1,
4,
77,
84
] | 65 | [
"77-1=76",
"76/4=19",
"84-19=65"
] | Current State: 65:[1, 4, 77, 84], Operations: []
Exploring Operation: 77-1=76, Resulting Numbers: [4, 84, 76]
Generated Node #2: [4, 84, 76] from Operation: 77-1=76
Current State: 65:[4, 84, 76], Operations: ['77-1=76']
Exploring Operation: 76/4=19, Resulting Numbers: [84, 19]
Generated Node #3: [84, 19] from Operation: 76/4=19
Current State: 65:[84, 19], Operations: ['77-1=76', '76/4=19']
Exploring Operation: 84-19=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[1, 4, 77, 84], Operations: []
Exploring Operation: 1+4=5, Resulting Numbers: [77, 84, 5]
Generated Node #0,0: 65:[77, 84, 5] Operation: 1+4=5
Exploring Operation: 84-77=7, Resulting Numbers: [1, 4, 7]
Generated Node #0,1: 65:[1, 4, 7] Operation: 84-77=7
Exploring Operation: 84/4=21, Resulting Numbers: [1, 77, 21]
Generated Node #0,2: 65:[1, 77, 21] Operation: 84/4=21
Moving to Node #0,1
Current State: 65:[1, 4, 7], Operations: ['84-77=7']
Exploring Operation: 1*4=4, Resulting Numbers: [7, 4]
Generated Node #0,1,0: 65:[7, 4] Operation: 1*4=4
Exploring Operation: 7-1=6, Resulting Numbers: [4, 6]
Generated Node #0,1,1: 65:[4, 6] Operation: 7-1=6
Exploring Operation: 1+4=5, Resulting Numbers: [7, 5]
Generated Node #0,1,2: 65:[7, 5] Operation: 1+4=5
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 65:[4, 6], Operations: ['84-77=7', '7-1=6']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,65 unequal: No Solution
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,65 unequal: No Solution
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,65 unequal: No Solution
No 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: 65:[7, 5], Operations: ['84-77=7', '1+4=5']
Exploring Operation: 7+5=12, Resulting Numbers: [12]
12,65 unequal: No Solution
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,65 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,65 unequal: No Solution
No 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: 65:[7, 4], Operations: ['84-77=7', '1*4=4']
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,65 unequal: No Solution
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,65 unequal: No Solution
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,65 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: 65:[1, 77, 21], Operations: ['84/4=21']
Exploring Operation: 21-1=20, Resulting Numbers: [77, 20]
Generated Node #0,2,0: 65:[77, 20] Operation: 21-1=20
Exploring Operation: 77-21=56, Resulting Numbers: [1, 56]
Generated Node #0,2,1: 65:[1, 56] Operation: 77-21=56
Exploring Operation: 77-1=76, Resulting Numbers: [21, 76]
Generated Node #0,2,2: 65:[21, 76] Operation: 77-1=76
Moving to Node #0,0
Current State: 65:[77, 84, 5], Operations: ['1+4=5']
Exploring Operation: 84-77=7, Resulting Numbers: [5, 7]
Generated Node #0,0,0: 65:[5, 7] Operation: 84-77=7
Exploring Operation: 77-5=72, Resulting Numbers: [84, 72]
Generated Node #0,0,1: 65:[84, 72] Operation: 77-5=72
Exploring Operation: 84-5=79, Resulting Numbers: [77, 79]
Generated Node #0,0,2: 65:[77, 79] Operation: 84-5=79
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 65:[5, 7], Operations: ['1+4=5', '84-77=7']
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,65 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,65 unequal: No Solution
Exploring Operation: 5+7=12, Resulting Numbers: [12]
12,65 unequal: No Solution
No 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: 65:[84, 72], Operations: ['1+4=5', '77-5=72']
Exploring Operation: 84-72=12, Resulting Numbers: [12]
12,65 unequal: No Solution
Exploring Operation: 84+72=156, Resulting Numbers: [156]
156,65 unequal: No Solution
Exploring Operation: 84*72=6048, Resulting Numbers: [6048]
6048,65 unequal: No Solution
No 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: 65:[77, 79], Operations: ['1+4=5', '84-5=79']
Exploring Operation: 77+79=156, Resulting Numbers: [156]
156,65 unequal: No Solution
Exploring Operation: 79-77=2, Resulting Numbers: [2]
2,65 unequal: No Solution
Exploring Operation: 77*79=6083, Resulting Numbers: [6083]
6083,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 65:[1, 56], Operations: ['84/4=21', '77-21=56']
Exploring Operation: 1*56=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 1+56=57, Resulting Numbers: [57]
57,65 unequal: No Solution
Exploring Operation: 56/1=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Moving to Node #0,2,0
Current State: 65:[77, 20], Operations: ['84/4=21', '21-1=20']
Exploring Operation: 77+20=97, Resulting Numbers: [97]
97,65 unequal: No Solution
Exploring Operation: 77-20=57, Resulting Numbers: [57]
57,65 unequal: No Solution
Exploring Operation: 77*20=1540, Resulting Numbers: [1540]
1540,65 unequal: No Solution
Moving to Node #0,2,2
Current State: 65:[21, 76], Operations: ['84/4=21', '77-1=76']
Exploring Operation: 76-21=55, Resulting Numbers: [55]
55,65 unequal: No Solution
Exploring Operation: 21+76=97, Resulting Numbers: [97]
97,65 unequal: No Solution
Exploring Operation: 21*76=1596, Resulting Numbers: [1596]
1596,65 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
87,
40,
47,
76
] | 37 | [
"76-47=29",
"87/29=3",
"40-3=37"
] | Current State: 37:[87, 40, 47, 76], Operations: []
Exploring Operation: 76-47=29, Resulting Numbers: [87, 40, 29]
Generated Node #2: [87, 40, 29] from Operation: 76-47=29
Current State: 37:[87, 40, 29], Operations: ['76-47=29']
Exploring Operation: 87/29=3, Resulting Numbers: [40, 3]
Generated Node #3: [40, 3] from Operation: 87/29=3
Current State: 37:[40, 3], Operations: ['76-47=29', '87/29=3']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[87, 40, 47, 76], Operations: []
Exploring Operation: 87-76=11, Resulting Numbers: [40, 47, 11]
Generated Node #0,0: 37:[40, 47, 11] Operation: 87-76=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[40, 47, 11], Operations: ['87-76=11']
Exploring Operation: 47-11=36, Resulting Numbers: [40, 36]
Generated Node #0,0,0: 37:[40, 36] Operation: 47-11=36
Moving to Node #0,0,0
Current State: 37:[40, 36], Operations: ['87-76=11', '47-11=36']
Exploring Operation: 40-36=4, Resulting Numbers: [4]
4,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
80,
96,
16,
44
] | 44 | [
"96-80=16",
"16+44=60",
"60-16=44"
] | Current State: 44:[80, 96, 16, 44], Operations: []
Exploring Operation: 96-80=16, Resulting Numbers: [16, 44, 16]
Generated Node #2: [16, 44, 16] from Operation: 96-80=16
Current State: 44:[16, 44, 16], Operations: ['96-80=16']
Exploring Operation: 16+44=60, Resulting Numbers: [60]
60,44 equal: Goal Reached
Exploring Operation: 60-16=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[80, 96, 16, 44], Operations: []
Exploring Operation: 96-80=16, Resulting Numbers: [16, 44, 16]
Generated Node #0,0: 44:[16, 44, 16] Operation: 96-80=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[16, 44, 16], Operations: ['96-80=16']
Exploring Operation: 16/16=1, Resulting Numbers: [44, 1]
Generated Node #0,0,0: 44:[44, 1] Operation: 16/16=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 44:[44, 1], Operations: ['96-80=16', '16/16=1']
Exploring Operation: 44*1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[80, 96, 16, 44], Operations: []
Exploring Operation: 96-80=16, Resulting Numbers: [16, 44, 16]
Generated Node #0,0: 44:[16, 44, 16] Operation: 96-80=16
Moving to Node #0,0
Current State: 44:[16, 44, 16], Operations: ['96-80=16']
Exploring Operation: 16/16=1, Resulting Numbers: [44, 1]
Generated Node #0,0,0: 44:[44, 1] Operation: 16/16=1
Moving to Node #0,0,0
Current State: 44:[44, 1], Operations: ['96-80=16', '16/16=1']
Exploring Operation: 44*1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
47,
33,
57,
96
] | 73 | [
"47+33=80",
"57+96=153",
"153-80=73"
] | Current State: 73:[47, 33, 57, 96], Operations: []
Exploring Operation: 47+33=80, Resulting Numbers: [57, 96, 80]
Generated Node #2: [57, 96, 80] from Operation: 47+33=80
Current State: 73:[57, 96, 80], Operations: ['47+33=80']
Exploring Operation: 57+96=153, Resulting Numbers: [80, 153]
Generated Node #3: [80, 153] from Operation: 57+96=153
Current State: 73:[80, 153], Operations: ['47+33=80', '57+96=153']
Exploring Operation: 153-80=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[47, 33, 57, 96], Operations: []
Exploring Operation: 47+33=80, Resulting Numbers: [57, 96, 80]
Generated Node #0,0: 73:[57, 96, 80] Operation: 47+33=80
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[57, 96, 80], Operations: ['47+33=80']
Exploring Operation: 96-57=39, Resulting Numbers: [80, 39]
Generated Node #0,0,0: 73:[80, 39] Operation: 96-57=39
Moving to Node #0,0,0
Current State: 73:[80, 39], Operations: ['47+33=80', '96-57=39']
Exploring Operation: 80-39=41, Resulting Numbers: [41]
41,73 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 |
[
3,
99,
48,
6
] | 89 | [
"48/3=16",
"99+6=105",
"105-16=89"
] | Current State: 89:[3, 99, 48, 6], Operations: []
Exploring Operation: 48/3=16, Resulting Numbers: [99, 6, 16]
Generated Node #2: [99, 6, 16] from Operation: 48/3=16
Current State: 89:[99, 6, 16], Operations: ['48/3=16']
Exploring Operation: 99+6=105, Resulting Numbers: [16, 105]
Generated Node #3: [16, 105] from Operation: 99+6=105
Current State: 89:[16, 105], Operations: ['48/3=16', '99+6=105']
Exploring Operation: 105-16=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[3, 99, 48, 6], Operations: []
Exploring Operation: 3+6=9, Resulting Numbers: [99, 48, 9]
Generated Node #0,0: 89:[99, 48, 9] Operation: 3+6=9
Exploring Operation: 3*6=18, Resulting Numbers: [99, 48, 18]
Generated Node #0,1: 89:[99, 48, 18] Operation: 3*6=18
Exploring Operation: 99-3=96, Resulting Numbers: [48, 6, 96]
Generated Node #0,2: 89:[48, 6, 96] Operation: 99-3=96
Exploring Operation: 3+48=51, Resulting Numbers: [99, 6, 51]
Generated Node #0,3: 89:[99, 6, 51] Operation: 3+48=51
Exploring Operation: 99-6=93, Resulting Numbers: [3, 48, 93]
Generated Node #0,4: 89:[3, 48, 93] Operation: 99-6=93
Moving to Node #0,1
Current State: 89:[99, 48, 18], Operations: ['3*6=18']
Exploring Operation: 99+18=117, Resulting Numbers: [48, 117]
Generated Node #0,1,0: 89:[48, 117] Operation: 99+18=117
Exploring Operation: 99-48=51, Resulting Numbers: [18, 51]
Generated Node #0,1,1: 89:[18, 51] Operation: 99-48=51
Exploring Operation: 48-18=30, Resulting Numbers: [99, 30]
Generated Node #0,1,2: 89:[99, 30] Operation: 48-18=30
Exploring Operation: 48+18=66, Resulting Numbers: [99, 66]
Generated Node #0,1,3: 89:[99, 66] Operation: 48+18=66
Exploring Operation: 99-18=81, Resulting Numbers: [48, 81]
Generated Node #0,1,4: 89:[48, 81] Operation: 99-18=81
Moving to Node #0,2
Current State: 89:[48, 6, 96], Operations: ['99-3=96']
Exploring Operation: 48+6=54, Resulting Numbers: [96, 54]
Generated Node #0,2,0: 89:[96, 54] Operation: 48+6=54
Exploring Operation: 96-6=90, Resulting Numbers: [48, 90]
Generated Node #0,2,1: 89:[48, 90] Operation: 96-6=90
Exploring Operation: 48-6=42, Resulting Numbers: [96, 42]
Generated Node #0,2,2: 89:[96, 42] Operation: 48-6=42
Exploring Operation: 6+96=102, Resulting Numbers: [48, 102]
Generated Node #0,2,3: 89:[48, 102] Operation: 6+96=102
Exploring Operation: 48/6=8, Resulting Numbers: [96, 8]
Generated Node #0,2,4: 89:[96, 8] Operation: 48/6=8
Moving to Node #0,4
Current State: 89:[3, 48, 93], Operations: ['99-6=93']
Exploring Operation: 3+48=51, Resulting Numbers: [93, 51]
Generated Node #0,4,0: 89:[93, 51] Operation: 3+48=51
Exploring Operation: 48-3=45, Resulting Numbers: [93, 45]
Generated Node #0,4,1: 89:[93, 45] Operation: 48-3=45
Exploring Operation: 3+93=96, Resulting Numbers: [48, 96]
Generated Node #0,4,2: 89:[48, 96] Operation: 3+93=96
Exploring Operation: 3*48=144, Resulting Numbers: [93, 144]
Generated Node #0,4,3: 89:[93, 144] Operation: 3*48=144
Exploring Operation: 93-3=90, Resulting Numbers: [48, 90]
Generated Node #0,4,4: 89:[48, 90] Operation: 93-3=90
Moving to Node #0,0
Current State: 89:[99, 48, 9], Operations: ['3+6=9']
Exploring Operation: 99+9=108, Resulting Numbers: [48, 108]
Generated Node #0,0,0: 89:[48, 108] Operation: 99+9=108
Exploring Operation: 48-9=39, Resulting Numbers: [99, 39]
Generated Node #0,0,1: 89:[99, 39] Operation: 48-9=39
Exploring Operation: 99-9=90, Resulting Numbers: [48, 90]
Generated Node #0,0,2: 89:[48, 90] Operation: 99-9=90
Exploring Operation: 48+9=57, Resulting Numbers: [99, 57]
Generated Node #0,0,3: 89:[99, 57] Operation: 48+9=57
Exploring Operation: 99-48=51, Resulting Numbers: [9, 51]
Generated Node #0,0,4: 89:[9, 51] Operation: 99-48=51
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 89:[48, 90], Operations: ['3+6=9', '99-9=90']
Exploring Operation: 90-48=42, Resulting Numbers: [42]
42,89 unequal: No Solution
Exploring Operation: 48*90=4320, Resulting Numbers: [4320]
4320,89 unequal: No Solution
Exploring Operation: 48+90=138, Resulting Numbers: [138]
138,89 unequal: No Solution
No 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: 89:[99, 57], Operations: ['3+6=9', '48+9=57']
Exploring Operation: 99-57=42, Resulting Numbers: [42]
42,89 unequal: No Solution
Exploring Operation: 99*57=5643, Resulting Numbers: [5643]
5643,89 unequal: No Solution
Exploring Operation: 99+57=156, Resulting Numbers: [156]
156,89 unequal: No Solution
No 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: 89:[48, 108], Operations: ['3+6=9', '99+9=108']
Exploring Operation: 48+108=156, Resulting Numbers: [156]
156,89 unequal: No Solution
Exploring Operation: 48*108=5184, Resulting Numbers: [5184]
5184,89 unequal: No Solution
Exploring Operation: 108-48=60, Resulting Numbers: [60]
60,89 unequal: No Solution
No 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: 89:[99, 39], Operations: ['3+6=9', '48-9=39']
Exploring Operation: 99*39=3861, Resulting Numbers: [3861]
3861,89 unequal: No Solution
Exploring Operation: 99-39=60, Resulting Numbers: [60]
60,89 unequal: No Solution
Exploring Operation: 99+39=138, Resulting Numbers: [138]
138,89 unequal: No Solution
No 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: 89:[9, 51], Operations: ['3+6=9', '99-48=51']
Exploring Operation: 9+51=60, Resulting Numbers: [60]
60,89 unequal: No Solution
Exploring Operation: 51-9=42, Resulting Numbers: [42]
42,89 unequal: No Solution
Exploring Operation: 9*51=459, Resulting Numbers: [459]
459,89 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: 89:[99, 6, 51], Operations: ['3+48=51']
Exploring Operation: 6+51=57, Resulting Numbers: [99, 57]
Generated Node #0,3,0: 89:[99, 57] Operation: 6+51=57
Exploring Operation: 99-6=93, Resulting Numbers: [51, 93]
Generated Node #0,3,1: 89:[51, 93] Operation: 99-6=93
Exploring Operation: 99-51=48, Resulting Numbers: [6, 48]
Generated Node #0,3,2: 89:[6, 48] Operation: 99-51=48
Exploring Operation: 99+6=105, Resulting Numbers: [51, 105]
Generated Node #0,3,3: 89:[51, 105] Operation: 99+6=105
Exploring Operation: 51-6=45, Resulting Numbers: [99, 45]
Generated Node #0,3,4: 89:[99, 45] Operation: 51-6=45
Moving to Node #0,1,3
Current State: 89:[99, 66], Operations: ['3*6=18', '48+18=66']
Exploring Operation: 99-66=33, Resulting Numbers: [33]
33,89 unequal: No Solution
Exploring Operation: 99*66=6534, Resulting Numbers: [6534]
6534,89 unequal: No Solution
Exploring Operation: 99+66=165, Resulting Numbers: [165]
165,89 unequal: No Solution
Moving to Node #0,2,0
Current State: 89:[96, 54], Operations: ['99-3=96', '48+6=54']
Exploring Operation: 96*54=5184, Resulting Numbers: [5184]
5184,89 unequal: No Solution
Exploring Operation: 96-54=42, Resulting Numbers: [42]
42,89 unequal: No Solution
Exploring Operation: 96+54=150, Resulting Numbers: [150]
150,89 unequal: No Solution
Moving to Node #0,2,1
Current State: 89:[48, 90], Operations: ['99-3=96', '96-6=90']
Exploring Operation: 48*90=4320, Resulting Numbers: [4320]
4320,89 unequal: No Solution
Exploring Operation: 48+90=138, Resulting Numbers: [138]
138,89 unequal: No Solution
Exploring Operation: 90-48=42, Resulting Numbers: [42]
42,89 unequal: No Solution
Moving to Node #0,4,4
Current State: 89:[48, 90], Operations: ['99-6=93', '93-3=90']
Exploring Operation: 48+90=138, Resulting Numbers: [138]
138,89 unequal: No Solution
Exploring Operation: 48*90=4320, Resulting Numbers: [4320]
4320,89 unequal: No Solution
Exploring Operation: 90-48=42, Resulting Numbers: [42]
42,89 unequal: No Solution
Moving to Node #0,4,0
Current State: 89:[93, 51], Operations: ['99-6=93', '3+48=51']
Exploring Operation: 93+51=144, Resulting Numbers: [144]
144,89 unequal: No Solution
Exploring Operation: 93*51=4743, Resulting Numbers: [4743]
4743,89 unequal: No Solution
Exploring Operation: 93-51=42, Resulting Numbers: [42]
42,89 unequal: No Solution
Moving to Node #0,3,0
Current State: 89:[99, 57], Operations: ['3+48=51', '6+51=57']
Exploring Operation: 99*57=5643, Resulting Numbers: [5643]
5643,89 unequal: No Solution
Exploring Operation: 99-57=42, Resulting Numbers: [42]
42,89 unequal: No Solution
Exploring Operation: 99+57=156, Resulting Numbers: [156]
156,89 unequal: No Solution
Moving to Node #0,3,1
Current State: 89:[51, 93], Operations: ['3+48=51', '99-6=93']
Exploring Operation: 51+93=144, Resulting Numbers: [144]
144,89 unequal: No Solution
Exploring Operation: 51*93=4743, Resulting Numbers: [4743]
4743,89 unequal: No Solution
Exploring Operation: 93-51=42, Resulting Numbers: [42]
42,89 unequal: No Solution
Moving to Node #0,4,2
Current State: 89:[48, 96], Operations: ['99-6=93', '3+93=96']
Exploring Operation: 96/48=2, Resulting Numbers: [2]
2,89 unequal: No Solution
Exploring Operation: 48+96=144, Resulting Numbers: [144]
144,89 unequal: No Solution
Exploring Operation: 96-48=48, Resulting Numbers: [48]
48,89 unequal: No Solution
Exploring Operation: 48*96=4608, Resulting Numbers: [4608]
4608,89 unequal: No Solution
Moving to Node #0,4,1
Current State: 89:[93, 45], Operations: ['99-6=93', '48-3=45']
Exploring Operation: 93-45=48, Resulting Numbers: [48]
48,89 unequal: No Solution
Exploring Operation: 93*45=4185, Resulting Numbers: [4185]
4185,89 unequal: No Solution
Exploring Operation: 93+45=138, Resulting Numbers: [138]
138,89 unequal: No Solution
Moving to Node #0,1,4
Current State: 89:[48, 81], Operations: ['3*6=18', '99-18=81']
Exploring Operation: 81-48=33, Resulting Numbers: [33]
33,89 unequal: No Solution
Exploring Operation: 48*81=3888, Resulting Numbers: [3888]
3888,89 unequal: No Solution
Exploring Operation: 48+81=129, Resulting Numbers: [129]
129,89 unequal: No Solution
Moving to Node #0,3,3
Current State: 89:[51, 105], Operations: ['3+48=51', '99+6=105']
Exploring Operation: 105-51=54, Resulting Numbers: [54]
54,89 unequal: No Solution
Exploring Operation: 51+105=156, Resulting Numbers: [156]
156,89 unequal: No Solution
Exploring Operation: 51*105=5355, Resulting Numbers: [5355]
5355,89 unequal: No Solution
Moving to Node #0,3,4
Current State: 89:[99, 45], Operations: ['3+48=51', '51-6=45']
Exploring Operation: 99*45=4455, Resulting Numbers: [4455]
4455,89 unequal: No Solution
Exploring Operation: 99+45=144, Resulting Numbers: [144]
144,89 unequal: No Solution
Exploring Operation: 99-45=54, Resulting Numbers: [54]
54,89 unequal: No Solution
Moving to Node #0,2,3
Current State: 89:[48, 102], Operations: ['99-3=96', '6+96=102']
Exploring Operation: 102-48=54, Resulting Numbers: [54]
54,89 unequal: No Solution
Exploring Operation: 48+102=150, Resulting Numbers: [150]
150,89 unequal: No Solution
Exploring Operation: 48*102=4896, Resulting Numbers: [4896]
4896,89 unequal: No Solution
Moving to Node #0,2,2
Current State: 89:[96, 42], Operations: ['99-3=96', '48-6=42']
Exploring Operation: 96-42=54, Resulting Numbers: [54]
54,89 unequal: No Solution
Exploring Operation: 96*42=4032, Resulting Numbers: [4032]
4032,89 unequal: No Solution
Exploring Operation: 96+42=138, Resulting Numbers: [138]
138,89 unequal: No Solution
Moving to Node #0,4,3
Current State: 89:[93, 144], Operations: ['99-6=93', '3*48=144']
Exploring Operation: 93+144=237, Resulting Numbers: [237]
237,89 unequal: No Solution
Exploring Operation: 144-93=51, Resulting Numbers: [51]
51,89 unequal: No Solution
Exploring Operation: 93*144=13392, Resulting Numbers: [13392]
13392,89 unequal: No Solution
Moving to Node #0,1,2
Current State: 89:[99, 30], Operations: ['3*6=18', '48-18=30']
Exploring Operation: 99+30=129, Resulting Numbers: [129]
129,89 unequal: No Solution
Exploring Operation: 99*30=2970, Resulting Numbers: [2970]
2970,89 unequal: No Solution
Exploring Operation: 99-30=69, Resulting Numbers: [69]
69,89 unequal: No Solution
Moving to Node #0,1,0
Current State: 89:[48, 117], Operations: ['3*6=18', '99+18=117']
Exploring Operation: 48+117=165, Resulting Numbers: [165]
165,89 unequal: No Solution
Exploring Operation: 117-48=69, Resulting Numbers: [69]
69,89 unequal: No Solution
Exploring Operation: 48*117=5616, Resulting Numbers: [5616]
5616,89 unequal: No Solution
Moving to Node #0,2,4
Current State: 89:[96, 8], Operations: ['99-3=96', '48/6=8']
Exploring Operation: 96/8=12, Resulting Numbers: [12]
12,89 unequal: No Solution
Exploring Operation: 96-8=88, Resulting Numbers: [88]
88,89 unequal: No Solution
Exploring Operation: 96+8=104, Resulting Numbers: [104]
104,89 unequal: No Solution
Exploring Operation: 96*8=768, Resulting Numbers: [768]
768,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[18, 51], Operations: ['3*6=18', '99-48=51']
Exploring Operation: 18*51=918, Resulting Numbers: [918]
918,89 unequal: No Solution
Exploring Operation: 18+51=69, Resulting Numbers: [69]
69,89 unequal: No Solution
Exploring Operation: 51-18=33, Resulting Numbers: [33]
33,89 unequal: No Solution
Moving to Node #0,3,2
Current State: 89:[6, 48], Operations: ['3+48=51', '99-51=48']
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,89 unequal: No Solution
Exploring Operation: 6+48=54, Resulting Numbers: [54]
54,89 unequal: No Solution
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,89 unequal: No Solution
Exploring Operation: 6*48=288, Resulting Numbers: [288]
288,89 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
70,
9,
2,
26
] | 81 | [
"70/2=35",
"35-26=9",
"9*9=81"
] | Current State: 81:[70, 9, 2, 26], Operations: []
Exploring Operation: 70/2=35, Resulting Numbers: [9, 26, 35]
Generated Node #2: [9, 26, 35] from Operation: 70/2=35
Current State: 81:[9, 26, 35], Operations: ['70/2=35']
Exploring Operation: 35-26=9, Resulting Numbers: [9, 9]
Generated Node #3: [9, 9] from Operation: 35-26=9
Current State: 81:[9, 9], Operations: ['70/2=35', '35-26=9']
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[70, 9, 2, 26], Operations: []
Exploring Operation: 2+26=28, Resulting Numbers: [70, 9, 28]
Generated Node #0,0: 81:[70, 9, 28] Operation: 2+26=28
Exploring Operation: 70/2=35, Resulting Numbers: [9, 26, 35]
Generated Node #0,1: 81:[9, 26, 35] Operation: 70/2=35
Exploring Operation: 70+2=72, Resulting Numbers: [9, 26, 72]
Generated Node #0,2: 81:[9, 26, 72] Operation: 70+2=72
Exploring Operation: 70+9=79, Resulting Numbers: [2, 26, 79]
Generated Node #0,3: 81:[2, 26, 79] Operation: 70+9=79
Moving to Node #0,3
Current State: 81:[2, 26, 79], Operations: ['70+9=79']
Exploring Operation: 79-2=77, Resulting Numbers: [26, 77]
Generated Node #0,3,0: 81:[26, 77] Operation: 79-2=77
Exploring Operation: 2+26=28, Resulting Numbers: [79, 28]
Generated Node #0,3,1: 81:[79, 28] Operation: 2+26=28
Exploring Operation: 26-2=24, Resulting Numbers: [79, 24]
Generated Node #0,3,2: 81:[79, 24] Operation: 26-2=24
Exploring Operation: 2+79=81, Resulting Numbers: [26, 81]
Generated Node #0,3,3: 81:[26, 81] Operation: 2+79=81
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 81:[26, 81], Operations: ['70+9=79', '2+79=81']
Exploring Operation: 81-26=55, Resulting Numbers: [55]
55,81 unequal: No Solution
Exploring Operation: 26+81=107, Resulting Numbers: [107]
107,81 unequal: No Solution
Exploring Operation: 26*81=2106, Resulting Numbers: [2106]
2106,81 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 #0,3,1
Current State: 81:[79, 28], Operations: ['70+9=79', '2+26=28']
Exploring Operation: 79+28=107, Resulting Numbers: [107]
107,81 unequal: No Solution
Exploring Operation: 79*28=2212, Resulting Numbers: [2212]
2212,81 unequal: No Solution
Exploring Operation: 79-28=51, Resulting Numbers: [51]
51,81 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 #0,3,0
Current State: 81:[26, 77], Operations: ['70+9=79', '79-2=77']
Exploring Operation: 26*77=2002, Resulting Numbers: [2002]
2002,81 unequal: No Solution
Exploring Operation: 26+77=103, Resulting Numbers: [103]
103,81 unequal: No Solution
Exploring Operation: 77-26=51, Resulting Numbers: [51]
51,81 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 #0,3,2
Current State: 81:[79, 24], Operations: ['70+9=79', '26-2=24']
Exploring Operation: 79*24=1896, Resulting Numbers: [1896]
1896,81 unequal: No Solution
Exploring Operation: 79-24=55, Resulting Numbers: [55]
55,81 unequal: No Solution
Exploring Operation: 79+24=103, Resulting Numbers: [103]
103,81 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: 81:[9, 26, 35], Operations: ['70/2=35']
Exploring Operation: 26-9=17, Resulting Numbers: [35, 17]
Generated Node #0,1,0: 81:[35, 17] Operation: 26-9=17
Exploring Operation: 9+26=35, Resulting Numbers: [35, 35]
Generated Node #0,1,1: 81:[35, 35] Operation: 9+26=35
Exploring Operation: 35-26=9, Resulting Numbers: [9, 9]
Generated Node #0,1,2: 81:[9, 9] Operation: 35-26=9
Exploring Operation: 35-9=26, Resulting Numbers: [26, 26]
Generated Node #0,1,3: 81:[26, 26] Operation: 35-9=26
Moving to Node #0,2
Current State: 81:[9, 26, 72], Operations: ['70+2=72']
Exploring Operation: 9+26=35, Resulting Numbers: [72, 35]
Generated Node #0,2,0: 81:[72, 35] Operation: 9+26=35
Exploring Operation: 72/9=8, Resulting Numbers: [26, 8]
Generated Node #0,2,1: 81:[26, 8] Operation: 72/9=8
Exploring Operation: 26-9=17, Resulting Numbers: [72, 17]
Generated Node #0,2,2: 81:[72, 17] Operation: 26-9=17
Exploring Operation: 9+72=81, Resulting Numbers: [26, 81]
Generated Node #0,2,3: 81:[26, 81] Operation: 9+72=81
Moving to Node #0,0
Current State: 81:[70, 9, 28], Operations: ['2+26=28']
Exploring Operation: 70+9=79, Resulting Numbers: [28, 79]
Generated Node #0,0,0: 81:[28, 79] Operation: 70+9=79
Exploring Operation: 70-28=42, Resulting Numbers: [9, 42]
Generated Node #0,0,1: 81:[9, 42] Operation: 70-28=42
Exploring Operation: 28-9=19, Resulting Numbers: [70, 19]
Generated Node #0,0,2: 81:[70, 19] Operation: 28-9=19
Exploring Operation: 70+28=98, Resulting Numbers: [9, 98]
Generated Node #0,0,3: 81:[9, 98] Operation: 70+28=98
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[28, 79], Operations: ['2+26=28', '70+9=79']
Exploring Operation: 28+79=107, Resulting Numbers: [107]
107,81 unequal: No Solution
Exploring Operation: 28*79=2212, Resulting Numbers: [2212]
2212,81 unequal: No Solution
Exploring Operation: 79-28=51, Resulting Numbers: [51]
51,81 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 #0,0,1
Current State: 81:[9, 42], Operations: ['2+26=28', '70-28=42']
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,81 unequal: No Solution
Exploring Operation: 9*42=378, Resulting Numbers: [378]
378,81 unequal: No Solution
Exploring Operation: 9+42=51, Resulting Numbers: [51]
51,81 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 #0,0,3
Current State: 81:[9, 98], Operations: ['2+26=28', '70+28=98']
Exploring Operation: 9+98=107, Resulting Numbers: [107]
107,81 unequal: No Solution
Exploring Operation: 9*98=882, Resulting Numbers: [882]
882,81 unequal: No Solution
Exploring Operation: 98-9=89, Resulting Numbers: [89]
89,81 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 #0,0,2
Current State: 81:[70, 19], Operations: ['2+26=28', '28-9=19']
Exploring Operation: 70-19=51, Resulting Numbers: [51]
51,81 unequal: No Solution
Exploring Operation: 70+19=89, Resulting Numbers: [89]
89,81 unequal: No Solution
Exploring Operation: 70*19=1330, Resulting Numbers: [1330]
1330,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 81:[9, 9], Operations: ['70/2=35', '35-26=9']
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[70, 9, 2, 26], Operations: []
Exploring Operation: 70/2=35, Resulting Numbers: [9, 26, 35]
Generated Node #0,1: 81:[9, 26, 35] Operation: 70/2=35
Moving to Node #0,1
Current State: 81:[9, 26, 35], Operations: ['70/2=35']
Exploring Operation: 35-26=9, Resulting Numbers: [9, 9]
Generated Node #0,1,2: 81:[9, 9] Operation: 35-26=9
Moving to Node #0,1,2
Current State: 81:[9, 9], Operations: ['70/2=35', '35-26=9']
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 0.957465 | hs_4 | sum_heuristic |
[
50,
69,
75,
25
] | 69 | [
"50+69=119",
"75-25=50",
"119-50=69"
] | Current State: 69:[50, 69, 75, 25], Operations: []
Exploring Operation: 50+69=119, Resulting Numbers: [75, 25, 119]
Generated Node #2: [75, 25, 119] from Operation: 50+69=119
Current State: 69:[75, 25, 119], Operations: ['50+69=119']
Exploring Operation: 75-25=50, Resulting Numbers: [119, 50]
Generated Node #3: [119, 50] from Operation: 75-25=50
Current State: 69:[119, 50], Operations: ['50+69=119', '75-25=50']
Exploring Operation: 119-50=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[50, 69, 75, 25], Operations: []
Exploring Operation: 75-50=25, Resulting Numbers: [69, 25, 25]
Generated Node #0,0: 69:[69, 25, 25] Operation: 75-50=25
Moving to Node #0,0
Current State: 69:[69, 25, 25], Operations: ['75-50=25']
Exploring Operation: 25/25=1, Resulting Numbers: [69, 1]
Generated Node #0,0,0: 69:[69, 1] Operation: 25/25=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 69:[69, 1], Operations: ['75-50=25', '25/25=1']
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[50, 69, 75, 25], Operations: []
Exploring Operation: 75-50=25, Resulting Numbers: [69, 25, 25]
Generated Node #0,0: 69:[69, 25, 25] Operation: 75-50=25
Moving to Node #0,0
Current State: 69:[69, 25, 25], Operations: ['75-50=25']
Exploring Operation: 25/25=1, Resulting Numbers: [69, 1]
Generated Node #0,0,0: 69:[69, 1] Operation: 25/25=1
Moving to Node #0,0,0
Current State: 69:[69, 1], Operations: ['75-50=25', '25/25=1']
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
7,
22,
30,
5
] | 45 | [
"22-7=15",
"5*15=75",
"75-30=45"
] | Current State: 45:[7, 22, 30, 5], Operations: []
Exploring Operation: 22-7=15, Resulting Numbers: [30, 5, 15]
Generated Node #2: [30, 5, 15] from Operation: 22-7=15
Current State: 45:[30, 5, 15], Operations: ['22-7=15']
Exploring Operation: 5*15=75, Resulting Numbers: [30, 75]
Generated Node #3: [30, 75] from Operation: 5*15=75
Current State: 45:[30, 75], Operations: ['22-7=15', '5*15=75']
Exploring Operation: 75-30=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[7, 22, 30, 5], Operations: []
Exploring Operation: 30/5=6, Resulting Numbers: [7, 22, 6]
Generated Node #0,0: 45:[7, 22, 6] Operation: 30/5=6
Exploring Operation: 30-22=8, Resulting Numbers: [7, 5, 8]
Generated Node #0,1: 45:[7, 5, 8] Operation: 30-22=8
Exploring Operation: 22+30=52, Resulting Numbers: [7, 5, 52]
Generated Node #0,2: 45:[7, 5, 52] Operation: 22+30=52
Start Sub Search at level 1: Moving to Node #0,1
Current State: 45:[7, 5, 8], Operations: ['30-22=8']
Exploring Operation: 7-5=2, Resulting Numbers: [8, 2]
Generated Node #0,1,0: 45:[8, 2] Operation: 7-5=2
Exploring Operation: 8-7=1, Resulting Numbers: [5, 1]
Generated Node #0,1,1: 45:[5, 1] Operation: 8-7=1
Exploring Operation: 7+8=15, Resulting Numbers: [5, 15]
Generated Node #0,1,2: 45:[5, 15] Operation: 7+8=15
Moving to Node #0,1,2
Current State: 45:[5, 15], Operations: ['30-22=8', '7+8=15']
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,45 unequal: No Solution
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,45 unequal: No Solution
Exploring Operation: 5+15=20, Resulting Numbers: [20]
20,45 unequal: No Solution
Moving to Node #0,1,0
Current State: 45:[8, 2], Operations: ['30-22=8', '7-5=2']
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,45 unequal: No Solution
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,45 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,45 unequal: No Solution
Moving to Node #0,1,1
Current State: 45:[5, 1], Operations: ['30-22=8', '8-7=1']
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,45 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 45:[7, 5, 52], Operations: ['22+30=52']
Exploring Operation: 52-5=47, Resulting Numbers: [7, 47]
Generated Node #0,2,0: 45:[7, 47] Operation: 52-5=47
Exploring Operation: 52-7=45, Resulting Numbers: [5, 45]
Generated Node #0,2,1: 45:[5, 45] Operation: 52-7=45
Exploring Operation: 7-5=2, Resulting Numbers: [52, 2]
Generated Node #0,2,2: 45:[52, 2] Operation: 7-5=2
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 45:[5, 45], Operations: ['22+30=52', '52-7=45']
Exploring Operation: 5+45=50, Resulting Numbers: [50]
50,45 unequal: No Solution
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,45 unequal: No Solution
Exploring Operation: 45/5=9, Resulting Numbers: [9]
9,45 unequal: No Solution
No 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: 45:[7, 47], Operations: ['22+30=52', '52-5=47']
Exploring Operation: 47-7=40, Resulting Numbers: [40]
40,45 unequal: No Solution
Exploring Operation: 7*47=329, Resulting Numbers: [329]
329,45 unequal: No Solution
Exploring Operation: 7+47=54, Resulting Numbers: [54]
54,45 unequal: No Solution
No 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: 45:[52, 2], Operations: ['22+30=52', '7-5=2']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,45 unequal: No Solution
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,45 unequal: No Solution
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,45 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: 45:[7, 22, 6], Operations: ['30/5=6']
Exploring Operation: 22-7=15, Resulting Numbers: [6, 15]
Generated Node #0,0,0: 45:[6, 15] Operation: 22-7=15
Exploring Operation: 7+6=13, Resulting Numbers: [22, 13]
Generated Node #0,0,1: 45:[22, 13] Operation: 7+6=13
Exploring Operation: 22-6=16, Resulting Numbers: [7, 16]
Generated Node #0,0,2: 45:[7, 16] Operation: 22-6=16
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 45:[6, 15], Operations: ['30/5=6', '22-7=15']
Exploring Operation: 6*15=90, Resulting Numbers: [90]
90,45 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,45 unequal: No Solution
Exploring Operation: 6+15=21, Resulting Numbers: [21]
21,45 unequal: No Solution
No 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: 45:[7, 16], Operations: ['30/5=6', '22-6=16']
Exploring Operation: 7+16=23, Resulting Numbers: [23]
23,45 unequal: No Solution
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,45 unequal: No Solution
Exploring Operation: 7*16=112, Resulting Numbers: [112]
112,45 unequal: No Solution
No 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: 45:[22, 13], Operations: ['30/5=6', '7+6=13']
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,45 unequal: No Solution
Exploring Operation: 22+13=35, Resulting Numbers: [35]
35,45 unequal: No Solution
Exploring Operation: 22*13=286, Resulting Numbers: [286]
286,45 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 |
[
42,
41,
34,
28
] | 89 | [
"42+41=83",
"34-28=6",
"83+6=89"
] | Current State: 89:[42, 41, 34, 28], Operations: []
Exploring Operation: 42+41=83, Resulting Numbers: [34, 28, 83]
Generated Node #2: [34, 28, 83] from Operation: 42+41=83
Current State: 89:[34, 28, 83], Operations: ['42+41=83']
Exploring Operation: 34-28=6, Resulting Numbers: [83, 6]
Generated Node #3: [83, 6] from Operation: 34-28=6
Current State: 89:[83, 6], Operations: ['42+41=83', '34-28=6']
Exploring Operation: 83+6=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[42, 41, 34, 28], Operations: []
Exploring Operation: 42+34=76, Resulting Numbers: [41, 28, 76]
Generated Node #0,0: 89:[41, 28, 76] Operation: 42+34=76
Exploring Operation: 42+28=70, Resulting Numbers: [41, 34, 70]
Generated Node #0,1: 89:[41, 34, 70] Operation: 42+28=70
Exploring Operation: 42+41=83, Resulting Numbers: [34, 28, 83]
Generated Node #0,2: 89:[34, 28, 83] Operation: 42+41=83
Moving to Node #0,0
Current State: 89:[41, 28, 76], Operations: ['42+34=76']
Exploring Operation: 28+76=104, Resulting Numbers: [41, 104]
Generated Node #0,0,0: 89:[41, 104] Operation: 28+76=104
Exploring Operation: 41+28=69, Resulting Numbers: [76, 69]
Generated Node #0,0,1: 89:[76, 69] Operation: 41+28=69
Exploring Operation: 41-28=13, Resulting Numbers: [76, 13]
Generated Node #0,0,2: 89:[76, 13] Operation: 41-28=13
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 89:[76, 69], Operations: ['42+34=76', '41+28=69']
Exploring Operation: 76-69=7, Resulting Numbers: [7]
7,89 unequal: No Solution
Exploring Operation: 76+69=145, Resulting Numbers: [145]
145,89 unequal: No Solution
Exploring Operation: 76*69=5244, Resulting Numbers: [5244]
5244,89 unequal: No Solution
No 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: 89:[41, 104], Operations: ['42+34=76', '28+76=104']
Exploring Operation: 41+104=145, Resulting Numbers: [145]
145,89 unequal: No Solution
Exploring Operation: 41*104=4264, Resulting Numbers: [4264]
4264,89 unequal: No Solution
Exploring Operation: 104-41=63, Resulting Numbers: [63]
63,89 unequal: No Solution
No 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: 89:[76, 13], Operations: ['42+34=76', '41-28=13']
Exploring Operation: 76-13=63, Resulting Numbers: [63]
63,89 unequal: No Solution
Exploring Operation: 76+13=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[42, 41, 34, 28], Operations: []
Exploring Operation: 42+34=76, Resulting Numbers: [41, 28, 76]
Generated Node #0,0: 89:[41, 28, 76] Operation: 42+34=76
Moving to Node #0,0
Current State: 89:[41, 28, 76], Operations: ['42+34=76']
Exploring Operation: 41-28=13, Resulting Numbers: [76, 13]
Generated Node #0,0,2: 89:[76, 13] Operation: 41-28=13
Moving to Node #0,0,2
Current State: 89:[76, 13], Operations: ['42+34=76', '41-28=13']
Exploring Operation: 76+13=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | sum_heuristic |
[
8,
38,
8,
75
] | 37 | [
"8+38=46",
"8+75=83",
"83-46=37"
] | Current State: 37:[8, 38, 8, 75], Operations: []
Exploring Operation: 8+38=46, Resulting Numbers: [75, 46]
Generated Node #2: [75, 46] from Operation: 8+38=46
Current State: 37:[75, 46], Operations: ['8+38=46']
Exploring Operation: 8+75=83, Resulting Numbers: [46, 83]
Generated Node #3: [46, 83] from Operation: 8+75=83
Current State: 37:[46, 83], Operations: ['8+38=46', '8+75=83']
Exploring Operation: 83-46=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[8, 38, 8, 75], Operations: []
Exploring Operation: 75-38=37, Resulting Numbers: [8, 8, 37]
Generated Node #0,0: 37:[8, 8, 37] Operation: 75-38=37
Exploring Operation: 8+8=16, Resulting Numbers: [38, 75, 16]
Generated Node #0,1: 37:[38, 75, 16] Operation: 8+8=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[8, 8, 37], Operations: ['75-38=37']
Exploring Operation: 8+8=16, Resulting Numbers: [37, 16]
Generated Node #0,0,0: 37:[37, 16] Operation: 8+8=16
Exploring Operation: 8*8=64, Resulting Numbers: [37, 64]
Generated Node #0,0,1: 37:[37, 64] Operation: 8*8=64
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 37:[37, 16], Operations: ['75-38=37', '8+8=16']
Exploring Operation: 37+16=53, Resulting Numbers: [53]
53,37 unequal: No Solution
Exploring Operation: 37-16=21, Resulting Numbers: [21]
21,37 unequal: No Solution
No 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: 37:[37, 64], Operations: ['75-38=37', '8*8=64']
Exploring Operation: 37+64=101, Resulting Numbers: [101]
101,37 unequal: No Solution
Exploring Operation: 64-37=27, Resulting Numbers: [27]
27,37 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: 37:[38, 75, 16], Operations: ['8+8=16']
Exploring Operation: 75-38=37, Resulting Numbers: [16, 37]
Generated Node #0,1,0: 37:[16, 37] Operation: 75-38=37
Exploring Operation: 75-16=59, Resulting Numbers: [38, 59]
Generated Node #0,1,1: 37:[38, 59] Operation: 75-16=59
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 37:[16, 37], Operations: ['8+8=16', '75-38=37']
Exploring Operation: 37-16=21, Resulting Numbers: [21]
21,37 unequal: No Solution
Exploring Operation: 16+37=53, Resulting Numbers: [53]
53,37 unequal: No Solution
No 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: 37:[38, 59], Operations: ['8+8=16', '75-16=59']
Exploring Operation: 38+59=97, Resulting Numbers: [97]
97,37 unequal: No Solution
Exploring Operation: 59-38=21, Resulting Numbers: [21]
21,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
2,
67,
59,
45
] | 36 | [
"2*45=90",
"67+59=126",
"126-90=36"
] | Current State: 36:[2, 67, 59, 45], Operations: []
Exploring Operation: 2*45=90, Resulting Numbers: [67, 59, 90]
Generated Node #2: [67, 59, 90] from Operation: 2*45=90
Current State: 36:[67, 59, 90], Operations: ['2*45=90']
Exploring Operation: 67+59=126, Resulting Numbers: [90, 126]
Generated Node #3: [90, 126] from Operation: 67+59=126
Current State: 36:[90, 126], Operations: ['2*45=90', '67+59=126']
Exploring Operation: 126-90=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[2, 67, 59, 45], Operations: []
Exploring Operation: 67-45=22, Resulting Numbers: [2, 59, 22]
Generated Node #0,0: 36:[2, 59, 22] Operation: 67-45=22
Exploring Operation: 67-59=8, Resulting Numbers: [2, 45, 8]
Generated Node #0,1: 36:[2, 45, 8] Operation: 67-59=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[2, 45, 8], Operations: ['67-59=8']
Exploring Operation: 45-8=37, Resulting Numbers: [2, 37]
Generated Node #0,1,0: 36:[2, 37] Operation: 45-8=37
Exploring Operation: 45-2=43, Resulting Numbers: [8, 43]
Generated Node #0,1,1: 36:[8, 43] Operation: 45-2=43
Moving to Node #0,1,0
Current State: 36:[2, 37], Operations: ['67-59=8', '45-8=37']
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,36 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,36 unequal: No Solution
Moving to Node #0,1,1
Current State: 36:[8, 43], Operations: ['67-59=8', '45-2=43']
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,36 unequal: No Solution
Exploring Operation: 8+43=51, Resulting Numbers: [51]
51,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[2, 59, 22], Operations: ['67-45=22']
Exploring Operation: 22/2=11, Resulting Numbers: [59, 11]
Generated Node #0,0,0: 36:[59, 11] Operation: 22/2=11
Exploring Operation: 59-22=37, Resulting Numbers: [2, 37]
Generated Node #0,0,1: 36:[2, 37] Operation: 59-22=37
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 36:[2, 37], Operations: ['67-45=22', '59-22=37']
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,36 unequal: No Solution
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 36:[59, 11], Operations: ['67-45=22', '22/2=11']
Exploring Operation: 59+11=70, Resulting Numbers: [70]
70,36 unequal: No Solution
Exploring Operation: 59-11=48, Resulting Numbers: [48]
48,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
66,
60,
57,
30
] | 81 | [
"66-60=6",
"57+30=87",
"87-6=81"
] | Current State: 81:[66, 60, 57, 30], Operations: []
Exploring Operation: 66-60=6, Resulting Numbers: [57, 30, 6]
Generated Node #2: [57, 30, 6] from Operation: 66-60=6
Current State: 81:[57, 30, 6], Operations: ['66-60=6']
Exploring Operation: 57+30=87, Resulting Numbers: [6, 87]
Generated Node #3: [6, 87] from Operation: 57+30=87
Current State: 81:[6, 87], Operations: ['66-60=6', '57+30=87']
Exploring Operation: 87-6=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[66, 60, 57, 30], Operations: []
Exploring Operation: 60-57=3, Resulting Numbers: [66, 30, 3]
Generated Node #0,0: 81:[66, 30, 3] Operation: 60-57=3
Moving to Node #0,0
Current State: 81:[66, 30, 3], Operations: ['60-57=3']
Exploring Operation: 66/3=22, Resulting Numbers: [30, 22]
Generated Node #0,0,0: 81:[30, 22] Operation: 66/3=22
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[30, 22], Operations: ['60-57=3', '66/3=22']
Exploring Operation: 30-22=8, Resulting Numbers: [8]
8,81 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 |
[
76,
40,
36,
76
] | 76 | [
"76+40=116",
"76-36=40",
"116-40=76"
] | Current State: 76:[76, 40, 36, 76], Operations: []
Exploring Operation: 76+40=116, Resulting Numbers: [36, 116]
Generated Node #2: [36, 116] from Operation: 76+40=116
Current State: 76:[36, 116], Operations: ['76+40=116']
Exploring Operation: 76-36=40, Resulting Numbers: [116, 40]
Generated Node #3: [116, 40] from Operation: 76-36=40
Current State: 76:[116, 40], Operations: ['76+40=116', '76-36=40']
Exploring Operation: 116-40=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[76, 40, 36, 76], Operations: []
Exploring Operation: 40+36=76, Resulting Numbers: [76, 76, 76]
Generated Node #0,0: 76:[76, 76, 76] Operation: 40+36=76
Moving to Node #0,0
Current State: 76:[76, 76, 76], Operations: ['40+36=76']
Exploring Operation: 76/76=1, Resulting Numbers: [76, 1]
Generated Node #0,0,0: 76:[76, 1] Operation: 76/76=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 76:[76, 1], Operations: ['40+36=76', '76/76=1']
Exploring Operation: 76*1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[76, 40, 36, 76], Operations: []
Exploring Operation: 40+36=76, Resulting Numbers: [76, 76, 76]
Generated Node #0,0: 76:[76, 76, 76] Operation: 40+36=76
Moving to Node #0,0
Current State: 76:[76, 76, 76], Operations: ['40+36=76']
Exploring Operation: 76/76=1, Resulting Numbers: [76, 1]
Generated Node #0,0,0: 76:[76, 1] Operation: 76/76=1
Moving to Node #0,0,0
Current State: 76:[76, 1], Operations: ['40+36=76', '76/76=1']
Exploring Operation: 76*1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
2,
56,
3,
82
] | 88 | [
"82-2=80",
"56*3=168",
"168-80=88"
] | Current State: 88:[2, 56, 3, 82], Operations: []
Exploring Operation: 82-2=80, Resulting Numbers: [56, 3, 80]
Generated Node #2: [56, 3, 80] from Operation: 82-2=80
Current State: 88:[56, 3, 80], Operations: ['82-2=80']
Exploring Operation: 56*3=168, Resulting Numbers: [80, 168]
Generated Node #3: [80, 168] from Operation: 56*3=168
Current State: 88:[80, 168], Operations: ['82-2=80', '56*3=168']
Exploring Operation: 168-80=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[2, 56, 3, 82], Operations: []
Exploring Operation: 56-3=53, Resulting Numbers: [2, 82, 53]
Generated Node #0,0: 88:[2, 82, 53] Operation: 56-3=53
Exploring Operation: 82/2=41, Resulting Numbers: [56, 3, 41]
Generated Node #0,1: 88:[56, 3, 41] Operation: 82/2=41
Exploring Operation: 82-56=26, Resulting Numbers: [2, 3, 26]
Generated Node #0,2: 88:[2, 3, 26] Operation: 82-56=26
Exploring Operation: 56/2=28, Resulting Numbers: [3, 82, 28]
Generated Node #0,3: 88:[3, 82, 28] Operation: 56/2=28
Exploring Operation: 3+82=85, Resulting Numbers: [2, 56, 85]
Generated Node #0,4: 88:[2, 56, 85] Operation: 3+82=85
Start Sub Search at level 1: Moving to Node #0,2
Current State: 88:[2, 3, 26], Operations: ['82-56=26']
Exploring Operation: 26-3=23, Resulting Numbers: [2, 23]
Generated Node #0,2,0: 88:[2, 23] Operation: 26-3=23
Exploring Operation: 2+3=5, Resulting Numbers: [26, 5]
Generated Node #0,2,1: 88:[26, 5] Operation: 2+3=5
Exploring Operation: 3-2=1, Resulting Numbers: [26, 1]
Generated Node #0,2,2: 88:[26, 1] Operation: 3-2=1
Exploring Operation: 26/2=13, Resulting Numbers: [3, 13]
Generated Node #0,2,3: 88:[3, 13] Operation: 26/2=13
Exploring Operation: 26-2=24, Resulting Numbers: [3, 24]
Generated Node #0,2,4: 88:[3, 24] Operation: 26-2=24
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 88:[2, 23], Operations: ['82-56=26', '26-3=23']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,88 unequal: No Solution
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,88 unequal: No Solution
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 88:[3, 13], Operations: ['82-56=26', '26/2=13']
Exploring Operation: 3*13=39, Resulting Numbers: [39]
39,88 unequal: No Solution
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,88 unequal: No Solution
Exploring Operation: 3+13=16, Resulting Numbers: [16]
16,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 88:[3, 24], Operations: ['82-56=26', '26-2=24']
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,88 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,88 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,88 unequal: No Solution
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 88:[26, 5], Operations: ['82-56=26', '2+3=5']
Exploring Operation: 26+5=31, Resulting Numbers: [31]
31,88 unequal: No Solution
Exploring Operation: 26*5=130, Resulting Numbers: [130]
130,88 unequal: No Solution
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 88:[26, 1], Operations: ['82-56=26', '3-2=1']
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,88 unequal: No Solution
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,88 unequal: No Solution
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,88 unequal: No Solution
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 88:[3, 82, 28], Operations: ['56/2=28']
Exploring Operation: 28-3=25, Resulting Numbers: [82, 25]
Generated Node #0,3,0: 88:[82, 25] Operation: 28-3=25
Exploring Operation: 82-28=54, Resulting Numbers: [3, 54]
Generated Node #0,3,1: 88:[3, 54] Operation: 82-28=54
Exploring Operation: 3*28=84, Resulting Numbers: [82, 84]
Generated Node #0,3,2: 88:[82, 84] Operation: 3*28=84
Exploring Operation: 3+82=85, Resulting Numbers: [28, 85]
Generated Node #0,3,3: 88:[28, 85] Operation: 3+82=85
Exploring Operation: 82-3=79, Resulting Numbers: [28, 79]
Generated Node #0,3,4: 88:[28, 79] Operation: 82-3=79
Moving to Node #0,3,0
Current State: 88:[82, 25], Operations: ['56/2=28', '28-3=25']
Exploring Operation: 82*25=2050, Resulting Numbers: [2050]
2050,88 unequal: No Solution
Exploring Operation: 82+25=107, Resulting Numbers: [107]
107,88 unequal: No Solution
Exploring Operation: 82-25=57, Resulting Numbers: [57]
57,88 unequal: No Solution
Moving to Node #0,3,3
Current State: 88:[28, 85], Operations: ['56/2=28', '3+82=85']
Exploring Operation: 28+85=113, Resulting Numbers: [113]
113,88 unequal: No Solution
Exploring Operation: 28*85=2380, Resulting Numbers: [2380]
2380,88 unequal: No Solution
Exploring Operation: 85-28=57, Resulting Numbers: [57]
57,88 unequal: No Solution
Moving to Node #0,3,2
Current State: 88:[82, 84], Operations: ['56/2=28', '3*28=84']
Exploring Operation: 82*84=6888, Resulting Numbers: [6888]
6888,88 unequal: No Solution
Exploring Operation: 84-82=2, Resulting Numbers: [2]
2,88 unequal: No Solution
Exploring Operation: 82+84=166, Resulting Numbers: [166]
166,88 unequal: No Solution
Moving to Node #0,3,1
Current State: 88:[3, 54], Operations: ['56/2=28', '82-28=54']
Exploring Operation: 3+54=57, Resulting Numbers: [57]
57,88 unequal: No Solution
Exploring Operation: 3*54=162, Resulting Numbers: [162]
162,88 unequal: No Solution
Exploring Operation: 54/3=18, Resulting Numbers: [18]
18,88 unequal: No Solution
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,88 unequal: No Solution
Moving to Node #0,3,4
Current State: 88:[28, 79], Operations: ['56/2=28', '82-3=79']
Exploring Operation: 28*79=2212, Resulting Numbers: [2212]
2212,88 unequal: No Solution
Exploring Operation: 79-28=51, Resulting Numbers: [51]
51,88 unequal: No Solution
Exploring Operation: 28+79=107, Resulting Numbers: [107]
107,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[2, 82, 53], Operations: ['56-3=53']
Exploring Operation: 82-2=80, Resulting Numbers: [53, 80]
Generated Node #0,0,0: 88:[53, 80] Operation: 82-2=80
Exploring Operation: 82-53=29, Resulting Numbers: [2, 29]
Generated Node #0,0,1: 88:[2, 29] Operation: 82-53=29
Exploring Operation: 53-2=51, Resulting Numbers: [82, 51]
Generated Node #0,0,2: 88:[82, 51] Operation: 53-2=51
Exploring Operation: 2+82=84, Resulting Numbers: [53, 84]
Generated Node #0,0,3: 88:[53, 84] Operation: 2+82=84
Exploring Operation: 82/2=41, Resulting Numbers: [53, 41]
Generated Node #0,0,4: 88:[53, 41] Operation: 82/2=41
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 88:[2, 29], Operations: ['56-3=53', '82-53=29']
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,88 unequal: No Solution
Exploring Operation: 2+29=31, Resulting Numbers: [31]
31,88 unequal: No Solution
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 88:[53, 41], Operations: ['56-3=53', '82/2=41']
Exploring Operation: 53*41=2173, Resulting Numbers: [2173]
2173,88 unequal: No Solution
Exploring Operation: 53+41=94, Resulting Numbers: [94]
94,88 unequal: No Solution
Exploring Operation: 53-41=12, Resulting Numbers: [12]
12,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 88:[82, 51], Operations: ['56-3=53', '53-2=51']
Exploring Operation: 82-51=31, Resulting Numbers: [31]
31,88 unequal: No Solution
Exploring Operation: 82*51=4182, Resulting Numbers: [4182]
4182,88 unequal: No Solution
Exploring Operation: 82+51=133, Resulting Numbers: [133]
133,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 88:[53, 84], Operations: ['56-3=53', '2+82=84']
Exploring Operation: 53*84=4452, Resulting Numbers: [4452]
4452,88 unequal: No Solution
Exploring Operation: 53+84=137, Resulting Numbers: [137]
137,88 unequal: No Solution
Exploring Operation: 84-53=31, Resulting Numbers: [31]
31,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 88:[53, 80], Operations: ['56-3=53', '82-2=80']
Exploring Operation: 53+80=133, Resulting Numbers: [133]
133,88 unequal: No Solution
Exploring Operation: 53*80=4240, Resulting Numbers: [4240]
4240,88 unequal: No Solution
Exploring Operation: 80-53=27, Resulting Numbers: [27]
27,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 88:[2, 56, 85], Operations: ['3+82=85']
Exploring Operation: 56-2=54, Resulting Numbers: [85, 54]
Generated Node #0,4,0: 88:[85, 54] Operation: 56-2=54
Exploring Operation: 85-56=29, Resulting Numbers: [2, 29]
Generated Node #0,4,1: 88:[2, 29] Operation: 85-56=29
Exploring Operation: 2+85=87, Resulting Numbers: [56, 87]
Generated Node #0,4,2: 88:[56, 87] Operation: 2+85=87
Exploring Operation: 2+56=58, Resulting Numbers: [85, 58]
Generated Node #0,4,3: 88:[85, 58] Operation: 2+56=58
Exploring Operation: 56/2=28, Resulting Numbers: [85, 28]
Generated Node #0,4,4: 88:[85, 28] Operation: 56/2=28
Moving to Node #0,4,1
Current State: 88:[2, 29], Operations: ['3+82=85', '85-56=29']
Exploring Operation: 2+29=31, Resulting Numbers: [31]
31,88 unequal: No Solution
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,88 unequal: No Solution
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,88 unequal: No Solution
Moving to Node #0,4,4
Current State: 88:[85, 28], Operations: ['3+82=85', '56/2=28']
Exploring Operation: 85+28=113, Resulting Numbers: [113]
113,88 unequal: No Solution
Exploring Operation: 85-28=57, Resulting Numbers: [57]
57,88 unequal: No Solution
Exploring Operation: 85*28=2380, Resulting Numbers: [2380]
2380,88 unequal: No Solution
Moving to Node #0,4,0
Current State: 88:[85, 54], Operations: ['3+82=85', '56-2=54']
Exploring Operation: 85-54=31, Resulting Numbers: [31]
31,88 unequal: No Solution
Exploring Operation: 85*54=4590, Resulting Numbers: [4590]
4590,88 unequal: No Solution
Exploring Operation: 85+54=139, Resulting Numbers: [139]
139,88 unequal: No Solution
Moving to Node #0,4,2
Current State: 88:[56, 87], Operations: ['3+82=85', '2+85=87']
Exploring Operation: 56+87=143, Resulting Numbers: [143]
143,88 unequal: No Solution
Exploring Operation: 87-56=31, Resulting Numbers: [31]
31,88 unequal: No Solution
Exploring Operation: 56*87=4872, Resulting Numbers: [4872]
4872,88 unequal: No Solution
Moving to Node #0,4,3
Current State: 88:[85, 58], Operations: ['3+82=85', '2+56=58']
Exploring Operation: 85-58=27, Resulting Numbers: [27]
27,88 unequal: No Solution
Exploring Operation: 85+58=143, Resulting Numbers: [143]
143,88 unequal: No Solution
Exploring Operation: 85*58=4930, Resulting Numbers: [4930]
4930,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 88:[56, 3, 41], Operations: ['82/2=41']
Exploring Operation: 56+3=59, Resulting Numbers: [41, 59]
Generated Node #0,1,0: 88:[41, 59] Operation: 56+3=59
Exploring Operation: 3+41=44, Resulting Numbers: [56, 44]
Generated Node #0,1,1: 88:[56, 44] Operation: 3+41=44
Exploring Operation: 56-3=53, Resulting Numbers: [41, 53]
Generated Node #0,1,2: 88:[41, 53] Operation: 56-3=53
Exploring Operation: 56-41=15, Resulting Numbers: [3, 15]
Generated Node #0,1,3: 88:[3, 15] Operation: 56-41=15
Exploring Operation: 56+41=97, Resulting Numbers: [3, 97]
Generated Node #0,1,4: 88:[3, 97] Operation: 56+41=97
Moving to Node #0,1,3
Current State: 88:[3, 15], Operations: ['82/2=41', '56-41=15']
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,88 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,88 unequal: No Solution
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,88 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,88 unequal: No Solution
Moving to Node #0,1,4
Current State: 88:[3, 97], Operations: ['82/2=41', '56+41=97']
Exploring Operation: 3+97=100, Resulting Numbers: [100]
100,88 unequal: No Solution
Exploring Operation: 97-3=94, Resulting Numbers: [94]
94,88 unequal: No Solution
Exploring Operation: 3*97=291, Resulting Numbers: [291]
291,88 unequal: No Solution
Moving to Node #0,1,1
Current State: 88:[56, 44], Operations: ['82/2=41', '3+41=44']
Exploring Operation: 56*44=2464, Resulting Numbers: [2464]
2464,88 unequal: No Solution
Exploring Operation: 56+44=100, Resulting Numbers: [100]
100,88 unequal: No Solution
Exploring Operation: 56-44=12, Resulting Numbers: [12]
12,88 unequal: No Solution
Moving to Node #0,1,2
Current State: 88:[41, 53], Operations: ['82/2=41', '56-3=53']
Exploring Operation: 53-41=12, Resulting Numbers: [12]
12,88 unequal: No Solution
Exploring Operation: 41+53=94, Resulting Numbers: [94]
94,88 unequal: No Solution
Exploring Operation: 41*53=2173, Resulting Numbers: [2173]
2173,88 unequal: No Solution
Moving to Node #0,1,0
Current State: 88:[41, 59], Operations: ['82/2=41', '56+3=59']
Exploring Operation: 59-41=18, Resulting Numbers: [18]
18,88 unequal: No Solution
Exploring Operation: 41*59=2419, Resulting Numbers: [2419]
2419,88 unequal: No Solution
Exploring Operation: 41+59=100, Resulting Numbers: [100]
100,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
19,
84,
30,
18
] | 17 | [
"84-19=65",
"30+18=48",
"65-48=17"
] | Current State: 17:[19, 84, 30, 18], Operations: []
Exploring Operation: 84-19=65, Resulting Numbers: [30, 18, 65]
Generated Node #2: [30, 18, 65] from Operation: 84-19=65
Current State: 17:[30, 18, 65], Operations: ['84-19=65']
Exploring Operation: 30+18=48, Resulting Numbers: [65, 48]
Generated Node #3: [65, 48] from Operation: 30+18=48
Current State: 17:[65, 48], Operations: ['84-19=65', '30+18=48']
Exploring Operation: 65-48=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[19, 84, 30, 18], Operations: []
Exploring Operation: 84-19=65, Resulting Numbers: [30, 18, 65]
Generated Node #0,0: 17:[30, 18, 65] Operation: 84-19=65
Exploring Operation: 84-30=54, Resulting Numbers: [19, 18, 54]
Generated Node #0,1: 17:[19, 18, 54] Operation: 84-30=54
Exploring Operation: 84-18=66, Resulting Numbers: [19, 30, 66]
Generated Node #0,2: 17:[19, 30, 66] Operation: 84-18=66
Exploring Operation: 30-19=11, Resulting Numbers: [84, 18, 11]
Generated Node #0,3: 17:[84, 18, 11] Operation: 30-19=11
Moving to Node #0,1
Current State: 17:[19, 18, 54], Operations: ['84-30=54']
Exploring Operation: 54-18=36, Resulting Numbers: [19, 36]
Generated Node #0,1,0: 17:[19, 36] Operation: 54-18=36
Exploring Operation: 19-18=1, Resulting Numbers: [54, 1]
Generated Node #0,1,1: 17:[54, 1] Operation: 19-18=1
Exploring Operation: 54-19=35, Resulting Numbers: [18, 35]
Generated Node #0,1,2: 17:[18, 35] Operation: 54-19=35
Exploring Operation: 54/18=3, Resulting Numbers: [19, 3]
Generated Node #0,1,3: 17:[19, 3] Operation: 54/18=3
Moving to Node #0,0
Current State: 17:[30, 18, 65], Operations: ['84-19=65']
Exploring Operation: 65-30=35, Resulting Numbers: [18, 35]
Generated Node #0,0,0: 17:[18, 35] Operation: 65-30=35
Exploring Operation: 30+18=48, Resulting Numbers: [65, 48]
Generated Node #0,0,1: 17:[65, 48] Operation: 30+18=48
Exploring Operation: 65-18=47, Resulting Numbers: [30, 47]
Generated Node #0,0,2: 17:[30, 47] Operation: 65-18=47
Exploring Operation: 30-18=12, Resulting Numbers: [65, 12]
Generated Node #0,0,3: 17:[65, 12] Operation: 30-18=12
Moving to Node #0,2
Current State: 17:[19, 30, 66], Operations: ['84-18=66']
Exploring Operation: 66-30=36, Resulting Numbers: [19, 36]
Generated Node #0,2,0: 17:[19, 36] Operation: 66-30=36
Exploring Operation: 19+30=49, Resulting Numbers: [66, 49]
Generated Node #0,2,1: 17:[66, 49] Operation: 19+30=49
Exploring Operation: 66-19=47, Resulting Numbers: [30, 47]
Generated Node #0,2,2: 17:[30, 47] Operation: 66-19=47
Exploring Operation: 30-19=11, Resulting Numbers: [66, 11]
Generated Node #0,2,3: 17:[66, 11] Operation: 30-19=11
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 17:[19, 36], Operations: ['84-18=66', '66-30=36']
Exploring Operation: 36-19=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[19, 84, 30, 18], Operations: []
Exploring Operation: 84-18=66, Resulting Numbers: [19, 30, 66]
Generated Node #0,2: 17:[19, 30, 66] Operation: 84-18=66
Moving to Node #0,2
Current State: 17:[19, 30, 66], Operations: ['84-18=66']
Exploring Operation: 66-30=36, Resulting Numbers: [19, 36]
Generated Node #0,2,0: 17:[19, 36] Operation: 66-30=36
Moving to Node #0,2,0
Current State: 17:[19, 36], Operations: ['84-18=66', '66-30=36']
Exploring Operation: 36-19=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | sum_heuristic |
[
70,
66,
81,
44
] | 38 | [
"81-70=11",
"66/11=6",
"44-6=38"
] | Current State: 38:[70, 66, 81, 44], Operations: []
Exploring Operation: 81-70=11, Resulting Numbers: [66, 44, 11]
Generated Node #2: [66, 44, 11] from Operation: 81-70=11
Current State: 38:[66, 44, 11], Operations: ['81-70=11']
Exploring Operation: 66/11=6, Resulting Numbers: [44, 6]
Generated Node #3: [44, 6] from Operation: 66/11=6
Current State: 38:[44, 6], Operations: ['81-70=11', '66/11=6']
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[70, 66, 81, 44], Operations: []
Exploring Operation: 81-70=11, Resulting Numbers: [66, 44, 11]
Generated Node #0,0: 38:[66, 44, 11] Operation: 81-70=11
Exploring Operation: 81-66=15, Resulting Numbers: [70, 44, 15]
Generated Node #0,1: 38:[70, 44, 15] Operation: 81-66=15
Moving to Node #0,0
Current State: 38:[66, 44, 11], Operations: ['81-70=11']
Exploring Operation: 66/11=6, Resulting Numbers: [44, 6]
Generated Node #0,0,0: 38:[44, 6] Operation: 66/11=6
Exploring Operation: 66-44=22, Resulting Numbers: [11, 22]
Generated Node #0,0,1: 38:[11, 22] Operation: 66-44=22
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 38:[44, 6], Operations: ['81-70=11', '66/11=6']
Exploring Operation: 44+6=50, Resulting Numbers: [50]
50,38 unequal: No Solution
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[70, 66, 81, 44], Operations: []
Exploring Operation: 81-70=11, Resulting Numbers: [66, 44, 11]
Generated Node #0,0: 38:[66, 44, 11] Operation: 81-70=11
Moving to Node #0,0
Current State: 38:[66, 44, 11], Operations: ['81-70=11']
Exploring Operation: 66/11=6, Resulting Numbers: [44, 6]
Generated Node #0,0,0: 38:[44, 6] Operation: 66/11=6
Moving to Node #0,0,0
Current State: 38:[44, 6], Operations: ['81-70=11', '66/11=6']
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
49,
58,
27,
3
] | 30 | [
"58-49=9",
"9/3=3",
"27+3=30"
] | Current State: 30:[49, 58, 27, 3], Operations: []
Exploring Operation: 58-49=9, Resulting Numbers: [27, 3, 9]
Generated Node #2: [27, 3, 9] from Operation: 58-49=9
Current State: 30:[27, 3, 9], Operations: ['58-49=9']
Exploring Operation: 9/3=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 9/3=3
Current State: 30:[27, 3], Operations: ['58-49=9', '9/3=3']
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[49, 58, 27, 3], Operations: []
Exploring Operation: 58-49=9, Resulting Numbers: [27, 3, 9]
Generated Node #0,0: 30:[27, 3, 9] Operation: 58-49=9
Moving to Node #0,0
Current State: 30:[27, 3, 9], Operations: ['58-49=9']
Exploring Operation: 27/9=3, Resulting Numbers: [3, 3]
Generated Node #0,0,0: 30:[3, 3] Operation: 27/9=3
Moving to Node #0,0,0
Current State: 30:[3, 3], Operations: ['58-49=9', '27/9=3']
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,30 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
75,
84,
28,
77
] | 60 | [
"75*84=6300",
"28+77=105",
"6300/105=60"
] | Current State: 60:[75, 84, 28, 77], Operations: []
Exploring Operation: 75*84=6300, Resulting Numbers: [28, 77, 6300]
Generated Node #2: [28, 77, 6300] from Operation: 75*84=6300
Current State: 60:[28, 77, 6300], Operations: ['75*84=6300']
Exploring Operation: 28+77=105, Resulting Numbers: [6300, 105]
Generated Node #3: [6300, 105] from Operation: 28+77=105
Current State: 60:[6300, 105], Operations: ['75*84=6300', '28+77=105']
Exploring Operation: 6300/105=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[75, 84, 28, 77], Operations: []
Exploring Operation: 84-75=9, Resulting Numbers: [28, 77, 9]
Generated Node #0,0: 60:[28, 77, 9] Operation: 84-75=9
Exploring Operation: 84-77=7, Resulting Numbers: [75, 28, 7]
Generated Node #0,1: 60:[75, 28, 7] Operation: 84-77=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[75, 28, 7], Operations: ['84-77=7']
Exploring Operation: 75-28=47, Resulting Numbers: [7, 47]
Generated Node #0,1,0: 60:[7, 47] Operation: 75-28=47
Exploring Operation: 75-7=68, Resulting Numbers: [28, 68]
Generated Node #0,1,1: 60:[28, 68] Operation: 75-7=68
Moving to Node #0,1,1
Current State: 60:[28, 68], Operations: ['84-77=7', '75-7=68']
Exploring Operation: 68-28=40, Resulting Numbers: [40]
40,60 unequal: No Solution
Exploring Operation: 28+68=96, Resulting Numbers: [96]
96,60 unequal: No Solution
Moving to Node #0,1,0
Current State: 60:[7, 47], Operations: ['84-77=7', '75-28=47']
Exploring Operation: 47-7=40, Resulting Numbers: [40]
40,60 unequal: No Solution
Exploring Operation: 7+47=54, Resulting Numbers: [54]
54,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[28, 77, 9], Operations: ['84-75=9']
Exploring Operation: 77-9=68, Resulting Numbers: [28, 68]
Generated Node #0,0,0: 60:[28, 68] Operation: 77-9=68
Exploring Operation: 77-28=49, Resulting Numbers: [9, 49]
Generated Node #0,0,1: 60:[9, 49] Operation: 77-28=49
Moving to Node #0,0,0
Current State: 60:[28, 68], Operations: ['84-75=9', '77-9=68']
Exploring Operation: 68-28=40, Resulting Numbers: [40]
40,60 unequal: No Solution
Exploring Operation: 28+68=96, Resulting Numbers: [96]
96,60 unequal: No Solution
Moving to Node #0,0,1
Current State: 60:[9, 49], Operations: ['84-75=9', '77-28=49']
Exploring Operation: 49-9=40, Resulting Numbers: [40]
40,60 unequal: No Solution
Exploring Operation: 9+49=58, Resulting Numbers: [58]
58,60 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 |
[
90,
67,
95,
3
] | 69 | [
"90-67=23",
"95-3=92",
"92-23=69"
] | Current State: 69:[90, 67, 95, 3], Operations: []
Exploring Operation: 90-67=23, Resulting Numbers: [95, 3, 23]
Generated Node #2: [95, 3, 23] from Operation: 90-67=23
Current State: 69:[95, 3, 23], Operations: ['90-67=23']
Exploring Operation: 95-3=92, Resulting Numbers: [23, 92]
Generated Node #3: [23, 92] from Operation: 95-3=92
Current State: 69:[23, 92], Operations: ['90-67=23', '95-3=92']
Exploring Operation: 92-23=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[90, 67, 95, 3], Operations: []
Exploring Operation: 90-3=87, Resulting Numbers: [67, 95, 87]
Generated Node #0,0: 69:[67, 95, 87] Operation: 90-3=87
Exploring Operation: 95-67=28, Resulting Numbers: [90, 3, 28]
Generated Node #0,1: 69:[90, 3, 28] Operation: 95-67=28
Exploring Operation: 90-67=23, Resulting Numbers: [95, 3, 23]
Generated Node #0,2: 69:[95, 3, 23] Operation: 90-67=23
Exploring Operation: 90/3=30, Resulting Numbers: [67, 95, 30]
Generated Node #0,3: 69:[67, 95, 30] Operation: 90/3=30
Exploring Operation: 95-90=5, Resulting Numbers: [67, 3, 5]
Generated Node #0,4: 69:[67, 3, 5] Operation: 95-90=5
Moving to Node #0,4
Current State: 69:[67, 3, 5], Operations: ['95-90=5']
Exploring Operation: 67+5=72, Resulting Numbers: [3, 72]
Generated Node #0,4,0: 69:[3, 72] Operation: 67+5=72
Exploring Operation: 67-5=62, Resulting Numbers: [3, 62]
Generated Node #0,4,1: 69:[3, 62] Operation: 67-5=62
Exploring Operation: 67-3=64, Resulting Numbers: [5, 64]
Generated Node #0,4,2: 69:[5, 64] Operation: 67-3=64
Exploring Operation: 5-3=2, Resulting Numbers: [67, 2]
Generated Node #0,4,3: 69:[67, 2] Operation: 5-3=2
Exploring Operation: 67+3=70, Resulting Numbers: [5, 70]
Generated Node #0,4,4: 69:[5, 70] Operation: 67+3=70
Moving to Node #0,2
Current State: 69:[95, 3, 23], Operations: ['90-67=23']
Exploring Operation: 95-3=92, Resulting Numbers: [23, 92]
Generated Node #0,2,0: 69:[23, 92] Operation: 95-3=92
Exploring Operation: 3+23=26, Resulting Numbers: [95, 26]
Generated Node #0,2,1: 69:[95, 26] Operation: 3+23=26
Exploring Operation: 95-23=72, Resulting Numbers: [3, 72]
Generated Node #0,2,2: 69:[3, 72] Operation: 95-23=72
Exploring Operation: 3*23=69, Resulting Numbers: [95, 69]
Generated Node #0,2,3: 69:[95, 69] Operation: 3*23=69
Exploring Operation: 95+3=98, Resulting Numbers: [23, 98]
Generated Node #0,2,4: 69:[23, 98] Operation: 95+3=98
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 69:[3, 72], Operations: ['90-67=23', '95-23=72']
Exploring Operation: 72-3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[90, 67, 95, 3], Operations: []
Exploring Operation: 90-67=23, Resulting Numbers: [95, 3, 23]
Generated Node #0,2: 69:[95, 3, 23] Operation: 90-67=23
Moving to Node #0,2
Current State: 69:[95, 3, 23], Operations: ['90-67=23']
Exploring Operation: 95-23=72, Resulting Numbers: [3, 72]
Generated Node #0,2,2: 69:[3, 72] Operation: 95-23=72
Moving to Node #0,2,2
Current State: 69:[3, 72], Operations: ['90-67=23', '95-23=72']
Exploring Operation: 72-3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | sum_heuristic |
[
90,
54,
15,
36
] | 48 | [
"90/15=6",
"36/6=6",
"54-6=48"
] | Current State: 48:[90, 54, 15, 36], Operations: []
Exploring Operation: 90/15=6, Resulting Numbers: [54, 36, 6]
Generated Node #2: [54, 36, 6] from Operation: 90/15=6
Current State: 48:[54, 36, 6], Operations: ['90/15=6']
Exploring Operation: 36/6=6, Resulting Numbers: [54, 6]
Generated Node #3: [54, 6] from Operation: 36/6=6
Current State: 48:[54, 6], Operations: ['90/15=6', '36/6=6']
Exploring Operation: 54-6=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[90, 54, 15, 36], Operations: []
Exploring Operation: 90-54=36, Resulting Numbers: [15, 36, 36]
Generated Node #0,0: 48:[15, 36, 36] Operation: 90-54=36
Exploring Operation: 90/15=6, Resulting Numbers: [54, 36, 6]
Generated Node #0,1: 48:[54, 36, 6] Operation: 90/15=6
Exploring Operation: 90-36=54, Resulting Numbers: [54, 15, 54]
Generated Node #0,2: 48:[54, 15, 54] Operation: 90-36=54
Moving to Node #0,2
Current State: 48:[54, 15, 54], Operations: ['90-36=54']
Exploring Operation: 54-54=0, Resulting Numbers: [15, 0]
Generated Node #0,2,0: 48:[15, 0] Operation: 54-54=0
Exploring Operation: 54-15=39, Resulting Numbers: [54, 39]
Generated Node #0,2,1: 48:[54, 39] Operation: 54-15=39
Exploring Operation: 54/54=1, Resulting Numbers: [15, 1]
Generated Node #0,2,2: 48:[15, 1] Operation: 54/54=1
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 48:[15, 1], Operations: ['90-36=54', '54/54=1']
Exploring Operation: 15/1=15, Resulting Numbers: [15]
15,48 unequal: No Solution
Exploring Operation: 15+1=16, Resulting Numbers: [16]
16,48 unequal: No Solution
Exploring Operation: 15*1=15, Resulting Numbers: [15]
15,48 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 #0,2,0
Current State: 48:[15, 0], Operations: ['90-36=54', '54-54=0']
Exploring Operation: 15+0=15, Resulting Numbers: [15]
15,48 unequal: No Solution
Exploring Operation: 15-0=15, Resulting Numbers: [15]
15,48 unequal: No Solution
Exploring Operation: 15*0=0, Resulting Numbers: [0]
0,48 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:[54, 39], Operations: ['90-36=54', '54-15=39']
Exploring Operation: 54+39=93, Resulting Numbers: [93]
93,48 unequal: No Solution
Exploring Operation: 54*39=2106, Resulting Numbers: [2106]
2106,48 unequal: No Solution
Exploring Operation: 54-39=15, Resulting Numbers: [15]
15,48 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:[54, 36, 6], Operations: ['90/15=6']
Exploring Operation: 54-36=18, Resulting Numbers: [6, 18]
Generated Node #0,1,0: 48:[6, 18] Operation: 54-36=18
Exploring Operation: 54-6=48, Resulting Numbers: [36, 48]
Generated Node #0,1,1: 48:[36, 48] Operation: 54-6=48
Exploring Operation: 36/6=6, Resulting Numbers: [54, 6]
Generated Node #0,1,2: 48:[54, 6] Operation: 36/6=6
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 48:[6, 18], Operations: ['90/15=6', '54-36=18']
Exploring Operation: 6+18=24, Resulting Numbers: [24]
24,48 unequal: No Solution
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,48 unequal: No Solution
Exploring Operation: 18/6=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 #0,1,2
Current State: 48:[54, 6], Operations: ['90/15=6', '36/6=6']
Exploring Operation: 54+6=60, Resulting Numbers: [60]
60,48 unequal: No Solution
Exploring Operation: 54-6=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[90, 54, 15, 36], Operations: []
Exploring Operation: 90/15=6, Resulting Numbers: [54, 36, 6]
Generated Node #0,1: 48:[54, 36, 6] Operation: 90/15=6
Moving to Node #0,1
Current State: 48:[54, 36, 6], Operations: ['90/15=6']
Exploring Operation: 36/6=6, Resulting Numbers: [54, 6]
Generated Node #0,1,2: 48:[54, 6] Operation: 36/6=6
Moving to Node #0,1,2
Current State: 48:[54, 6], Operations: ['90/15=6', '36/6=6']
Exploring Operation: 54-6=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_3 | mult_heuristic |
[
73,
24,
48,
69
] | 69 | [
"73-24=49",
"49-48=1",
"69*1=69"
] | Current State: 69:[73, 24, 48, 69], Operations: []
Exploring Operation: 73-24=49, Resulting Numbers: [48, 69, 49]
Generated Node #2: [48, 69, 49] from Operation: 73-24=49
Current State: 69:[48, 69, 49], Operations: ['73-24=49']
Exploring Operation: 49-48=1, Resulting Numbers: [69, 1]
Generated Node #3: [69, 1] from Operation: 49-48=1
Current State: 69:[69, 1], Operations: ['73-24=49', '49-48=1']
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[73, 24, 48, 69], Operations: []
Exploring Operation: 73-48=25, Resulting Numbers: [24, 69, 25]
Generated Node #0,0: 69:[24, 69, 25] Operation: 73-48=25
Exploring Operation: 48-24=24, Resulting Numbers: [73, 69, 24]
Generated Node #0,1: 69:[73, 69, 24] Operation: 48-24=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[24, 69, 25], Operations: ['73-48=25']
Exploring Operation: 25-24=1, Resulting Numbers: [69, 1]
Generated Node #0,0,0: 69:[69, 1] Operation: 25-24=1
Exploring Operation: 24+25=49, Resulting Numbers: [69, 49]
Generated Node #0,0,1: 69:[69, 49] Operation: 24+25=49
Moving to Node #0,0,0
Current State: 69:[69, 1], Operations: ['73-48=25', '25-24=1']
Exploring Operation: 69/1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[73, 24, 48, 69], Operations: []
Exploring Operation: 73-48=25, Resulting Numbers: [24, 69, 25]
Generated Node #0,0: 69:[24, 69, 25] Operation: 73-48=25
Moving to Node #0,0
Current State: 69:[24, 69, 25], Operations: ['73-48=25']
Exploring Operation: 25-24=1, Resulting Numbers: [69, 1]
Generated Node #0,0,0: 69:[69, 1] Operation: 25-24=1
Moving to Node #0,0,0
Current State: 69:[69, 1], Operations: ['73-48=25', '25-24=1']
Exploring Operation: 69/1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
63,
3,
18,
87
] | 60 | [
"63+18=81",
"81/3=27",
"87-27=60"
] | Current State: 60:[63, 3, 18, 87], Operations: []
Exploring Operation: 63+18=81, Resulting Numbers: [3, 87, 81]
Generated Node #2: [3, 87, 81] from Operation: 63+18=81
Current State: 60:[3, 87, 81], Operations: ['63+18=81']
Exploring Operation: 81/3=27, Resulting Numbers: [87, 27]
Generated Node #3: [87, 27] from Operation: 81/3=27
Current State: 60:[87, 27], Operations: ['63+18=81', '81/3=27']
Exploring Operation: 87-27=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[63, 3, 18, 87], Operations: []
Exploring Operation: 87/3=29, Resulting Numbers: [63, 18, 29]
Generated Node #0,0: 60:[63, 18, 29] Operation: 87/3=29
Exploring Operation: 87-63=24, Resulting Numbers: [3, 18, 24]
Generated Node #0,1: 60:[3, 18, 24] Operation: 87-63=24
Exploring Operation: 87-18=69, Resulting Numbers: [63, 3, 69]
Generated Node #0,2: 60:[63, 3, 69] Operation: 87-18=69
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[63, 18, 29], Operations: ['87/3=29']
Exploring Operation: 63-18=45, Resulting Numbers: [29, 45]
Generated Node #0,0,0: 60:[29, 45] Operation: 63-18=45
Exploring Operation: 29-18=11, Resulting Numbers: [63, 11]
Generated Node #0,0,1: 60:[63, 11] Operation: 29-18=11
Exploring Operation: 63-29=34, Resulting Numbers: [18, 34]
Generated Node #0,0,2: 60:[18, 34] Operation: 63-29=34
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 60:[63, 11], Operations: ['87/3=29', '29-18=11']
Exploring Operation: 63*11=693, Resulting Numbers: [693]
693,60 unequal: No Solution
Exploring Operation: 63+11=74, Resulting Numbers: [74]
74,60 unequal: No Solution
Exploring Operation: 63-11=52, Resulting Numbers: [52]
52,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 60:[18, 34], Operations: ['87/3=29', '63-29=34']
Exploring Operation: 18+34=52, Resulting Numbers: [52]
52,60 unequal: No Solution
Exploring Operation: 18*34=612, Resulting Numbers: [612]
612,60 unequal: No Solution
Exploring Operation: 34-18=16, Resulting Numbers: [16]
16,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 60:[29, 45], Operations: ['87/3=29', '63-18=45']
Exploring Operation: 29*45=1305, Resulting Numbers: [1305]
1305,60 unequal: No Solution
Exploring Operation: 45-29=16, Resulting Numbers: [16]
16,60 unequal: No Solution
Exploring Operation: 29+45=74, Resulting Numbers: [74]
74,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[3, 18, 24], Operations: ['87-63=24']
Exploring Operation: 24-3=21, Resulting Numbers: [18, 21]
Generated Node #0,1,0: 60:[18, 21] Operation: 24-3=21
Exploring Operation: 24-18=6, Resulting Numbers: [3, 6]
Generated Node #0,1,1: 60:[3, 6] Operation: 24-18=6
Exploring Operation: 18-3=15, Resulting Numbers: [24, 15]
Generated Node #0,1,2: 60:[24, 15] Operation: 18-3=15
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 60:[3, 6], Operations: ['87-63=24', '24-18=6']
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,60 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,60 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 60:[18, 21], Operations: ['87-63=24', '24-3=21']
Exploring Operation: 18+21=39, Resulting Numbers: [39]
39,60 unequal: No Solution
Exploring Operation: 18*21=378, Resulting Numbers: [378]
378,60 unequal: No Solution
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 60:[24, 15], Operations: ['87-63=24', '18-3=15']
Exploring Operation: 24+15=39, Resulting Numbers: [39]
39,60 unequal: No Solution
Exploring Operation: 24*15=360, Resulting Numbers: [360]
360,60 unequal: No Solution
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 60:[63, 3, 69], Operations: ['87-18=69']
Exploring Operation: 69-63=6, Resulting Numbers: [3, 6]
Generated Node #0,2,0: 60:[3, 6] Operation: 69-63=6
Exploring Operation: 63-3=60, Resulting Numbers: [69, 60]
Generated Node #0,2,1: 60:[69, 60] Operation: 63-3=60
Exploring Operation: 69/3=23, Resulting Numbers: [63, 23]
Generated Node #0,2,2: 60:[63, 23] Operation: 69/3=23
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 60:[3, 6], Operations: ['87-18=69', '69-63=6']
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,60 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,60 unequal: No Solution
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 60:[63, 23], Operations: ['87-18=69', '69/3=23']
Exploring Operation: 63+23=86, Resulting Numbers: [86]
86,60 unequal: No Solution
Exploring Operation: 63-23=40, Resulting Numbers: [40]
40,60 unequal: No Solution
Exploring Operation: 63*23=1449, Resulting Numbers: [1449]
1449,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 60:[69, 60], Operations: ['87-18=69', '63-3=60']
Exploring Operation: 69+60=129, Resulting Numbers: [129]
129,60 unequal: No Solution
Exploring Operation: 69*60=4140, Resulting Numbers: [4140]
4140,60 unequal: No Solution
Exploring Operation: 69-60=9, Resulting Numbers: [9]
9,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
46,
26,
92,
2
] | 33 | [
"92-46=46",
"26/2=13",
"46-13=33"
] | Current State: 33:[46, 26, 92, 2], Operations: []
Exploring Operation: 92-46=46, Resulting Numbers: [26, 2, 46]
Generated Node #2: [26, 2, 46] from Operation: 92-46=46
Current State: 33:[26, 2, 46], Operations: ['92-46=46']
Exploring Operation: 26/2=13, Resulting Numbers: [46, 13]
Generated Node #3: [46, 13] from Operation: 26/2=13
Current State: 33:[46, 13], Operations: ['92-46=46', '26/2=13']
Exploring Operation: 46-13=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[46, 26, 92, 2], Operations: []
Exploring Operation: 92/46=2, Resulting Numbers: [26, 2, 2]
Generated Node #0,0: 33:[26, 2, 2] Operation: 92/46=2
Exploring Operation: 92-46=46, Resulting Numbers: [26, 2, 46]
Generated Node #0,1: 33:[26, 2, 46] Operation: 92-46=46
Moving to Node #0,0
Current State: 33:[26, 2, 2], Operations: ['92/46=2']
Exploring Operation: 26/2=13, Resulting Numbers: [2, 13]
Generated Node #0,0,0: 33:[2, 13] Operation: 26/2=13
Exploring Operation: 26/2=13, Resulting Numbers: [2, 13]
Generated Node #0,0,1: 33:[2, 13] Operation: 26/2=13
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 33:[2, 13], Operations: ['92/46=2', '26/2=13']
Exploring Operation: 2+13=15, Resulting Numbers: [15]
15,33 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 33:[2, 13], Operations: ['92/46=2', '26/2=13']
Exploring Operation: 2+13=15, Resulting Numbers: [15]
15,33 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 33:[26, 2, 46], Operations: ['92-46=46']
Exploring Operation: 46-26=20, Resulting Numbers: [2, 20]
Generated Node #0,1,0: 33:[2, 20] Operation: 46-26=20
Exploring Operation: 26/2=13, Resulting Numbers: [46, 13]
Generated Node #0,1,1: 33:[46, 13] Operation: 26/2=13
Moving to Node #0,1,0
Current State: 33:[2, 20], Operations: ['92-46=46', '46-26=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,33 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Moving to Node #0,1,1
Current State: 33:[46, 13], Operations: ['92-46=46', '26/2=13']
Exploring Operation: 46-13=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[46, 26, 92, 2], Operations: []
Exploring Operation: 92-46=46, Resulting Numbers: [26, 2, 46]
Generated Node #0,1: 33:[26, 2, 46] Operation: 92-46=46
Moving to Node #0,1
Current State: 33:[26, 2, 46], Operations: ['92-46=46']
Exploring Operation: 26/2=13, Resulting Numbers: [46, 13]
Generated Node #0,1,1: 33:[46, 13] Operation: 26/2=13
Moving to Node #0,1,1
Current State: 33:[46, 13], Operations: ['92-46=46', '26/2=13']
Exploring Operation: 46-13=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 0.985243 | hs_2 | mult_heuristic |
[
59,
6,
38,
57
] | 50 | [
"59-57=2",
"6*2=12",
"38+12=50"
] | Current State: 50:[59, 6, 38, 57], Operations: []
Exploring Operation: 59-57=2, Resulting Numbers: [6, 38, 2]
Generated Node #2: [6, 38, 2] from Operation: 59-57=2
Current State: 50:[6, 38, 2], Operations: ['59-57=2']
Exploring Operation: 6*2=12, Resulting Numbers: [38, 12]
Generated Node #3: [38, 12] from Operation: 6*2=12
Current State: 50:[38, 12], Operations: ['59-57=2', '6*2=12']
Exploring Operation: 38+12=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[59, 6, 38, 57], Operations: []
Exploring Operation: 59-38=21, Resulting Numbers: [6, 57, 21]
Generated Node #0,0: 50:[6, 57, 21] Operation: 59-38=21
Exploring Operation: 59-6=53, Resulting Numbers: [38, 57, 53]
Generated Node #0,1: 50:[38, 57, 53] Operation: 59-6=53
Exploring Operation: 59-57=2, Resulting Numbers: [6, 38, 2]
Generated Node #0,2: 50:[6, 38, 2] Operation: 59-57=2
Exploring Operation: 57-38=19, Resulting Numbers: [59, 6, 19]
Generated Node #0,3: 50:[59, 6, 19] Operation: 57-38=19
Moving to Node #0,0
Current State: 50:[6, 57, 21], Operations: ['59-38=21']
Exploring Operation: 6+21=27, Resulting Numbers: [57, 27]
Generated Node #0,0,0: 50:[57, 27] Operation: 6+21=27
Exploring Operation: 57-21=36, Resulting Numbers: [6, 36]
Generated Node #0,0,1: 50:[6, 36] Operation: 57-21=36
Exploring Operation: 57-6=51, Resulting Numbers: [21, 51]
Generated Node #0,0,2: 50:[21, 51] Operation: 57-6=51
Exploring Operation: 21-6=15, Resulting Numbers: [57, 15]
Generated Node #0,0,3: 50:[57, 15] Operation: 21-6=15
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 50:[21, 51], Operations: ['59-38=21', '57-6=51']
Exploring Operation: 21*51=1071, Resulting Numbers: [1071]
1071,50 unequal: No Solution
Exploring Operation: 51-21=30, Resulting Numbers: [30]
30,50 unequal: No Solution
Exploring Operation: 21+51=72, Resulting Numbers: [72]
72,50 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 #0,0,0
Current State: 50:[57, 27], Operations: ['59-38=21', '6+21=27']
Exploring Operation: 57+27=84, Resulting Numbers: [84]
84,50 unequal: No Solution
Exploring Operation: 57*27=1539, Resulting Numbers: [1539]
1539,50 unequal: No Solution
Exploring Operation: 57-27=30, Resulting Numbers: [30]
30,50 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:[6, 36], Operations: ['59-38=21', '57-21=36']
Exploring Operation: 6+36=42, Resulting Numbers: [42]
42,50 unequal: No Solution
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,50 unequal: No Solution
Exploring Operation: 6*36=216, Resulting Numbers: [216]
216,50 unequal: No Solution
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,50 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 #0,0,3
Current State: 50:[57, 15], Operations: ['59-38=21', '21-6=15']
Exploring Operation: 57+15=72, Resulting Numbers: [72]
72,50 unequal: No Solution
Exploring Operation: 57*15=855, Resulting Numbers: [855]
855,50 unequal: No Solution
Exploring Operation: 57-15=42, Resulting Numbers: [42]
42,50 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: 50:[6, 38, 2], Operations: ['59-57=2']
Exploring Operation: 38/2=19, Resulting Numbers: [6, 19]
Generated Node #0,2,0: 50:[6, 19] Operation: 38/2=19
Exploring Operation: 38-6=32, Resulting Numbers: [2, 32]
Generated Node #0,2,1: 50:[2, 32] Operation: 38-6=32
Exploring Operation: 38+2=40, Resulting Numbers: [6, 40]
Generated Node #0,2,2: 50:[6, 40] Operation: 38+2=40
Exploring Operation: 6+38=44, Resulting Numbers: [2, 44]
Generated Node #0,2,3: 50:[2, 44] Operation: 6+38=44
Moving to Node #0,3
Current State: 50:[59, 6, 19], Operations: ['57-38=19']
Exploring Operation: 59-6=53, Resulting Numbers: [19, 53]
Generated Node #0,3,0: 50:[19, 53] Operation: 59-6=53
Exploring Operation: 19-6=13, Resulting Numbers: [59, 13]
Generated Node #0,3,1: 50:[59, 13] Operation: 19-6=13
Exploring Operation: 6+19=25, Resulting Numbers: [59, 25]
Generated Node #0,3,2: 50:[59, 25] Operation: 6+19=25
Exploring Operation: 59-19=40, Resulting Numbers: [6, 40]
Generated Node #0,3,3: 50:[6, 40] Operation: 59-19=40
Moving to Node #0,1
Current State: 50:[38, 57, 53], Operations: ['59-6=53']
Exploring Operation: 38+57=95, Resulting Numbers: [53, 95]
Generated Node #0,1,0: 50:[53, 95] Operation: 38+57=95
Exploring Operation: 57-38=19, Resulting Numbers: [53, 19]
Generated Node #0,1,1: 50:[53, 19] Operation: 57-38=19
Exploring Operation: 57-53=4, Resulting Numbers: [38, 4]
Generated Node #0,1,2: 50:[38, 4] Operation: 57-53=4
Exploring Operation: 53-38=15, Resulting Numbers: [57, 15]
Generated Node #0,1,3: 50:[57, 15] Operation: 53-38=15
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 50:[53, 19], Operations: ['59-6=53', '57-38=19']
Exploring Operation: 53*19=1007, Resulting Numbers: [1007]
1007,50 unequal: No Solution
Exploring Operation: 53-19=34, Resulting Numbers: [34]
34,50 unequal: No Solution
Exploring Operation: 53+19=72, Resulting Numbers: [72]
72,50 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 #0,1,3
Current State: 50:[57, 15], Operations: ['59-6=53', '53-38=15']
Exploring Operation: 57-15=42, Resulting Numbers: [42]
42,50 unequal: No Solution
Exploring Operation: 57*15=855, Resulting Numbers: [855]
855,50 unequal: No Solution
Exploring Operation: 57+15=72, Resulting Numbers: [72]
72,50 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:[38, 4], Operations: ['59-6=53', '57-53=4']
Exploring Operation: 38+4=42, Resulting Numbers: [42]
42,50 unequal: No Solution
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,50 unequal: No Solution
Exploring Operation: 38*4=152, Resulting Numbers: [152]
152,50 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:[53, 95], Operations: ['59-6=53', '38+57=95']
Exploring Operation: 95-53=42, Resulting Numbers: [42]
42,50 unequal: No Solution
Exploring Operation: 53*95=5035, Resulting Numbers: [5035]
5035,50 unequal: No Solution
Exploring Operation: 53+95=148, Resulting Numbers: [148]
148,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,3
Current State: 50:[2, 44], Operations: ['59-57=2', '6+38=44']
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,50 unequal: No Solution
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,50 unequal: No Solution
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,50 unequal: No Solution
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,50 unequal: No Solution
Moving to Node #0,2,1
Current State: 50:[2, 32], Operations: ['59-57=2', '38-6=32']
Exploring Operation: 2+32=34, Resulting Numbers: [34]
34,50 unequal: No Solution
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,50 unequal: No Solution
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,50 unequal: No Solution
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,50 unequal: No Solution
Moving to Node #0,2,0
Current State: 50:[6, 19], Operations: ['59-57=2', '38/2=19']
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,50 unequal: No Solution
Exploring Operation: 6*19=114, Resulting Numbers: [114]
114,50 unequal: No Solution
Exploring Operation: 6+19=25, Resulting Numbers: [25]
25,50 unequal: No Solution
Moving to Node #0,3,2
Current State: 50:[59, 25], Operations: ['57-38=19', '6+19=25']
Exploring Operation: 59-25=34, Resulting Numbers: [34]
34,50 unequal: No Solution
Exploring Operation: 59+25=84, Resulting Numbers: [84]
84,50 unequal: No Solution
Exploring Operation: 59*25=1475, Resulting Numbers: [1475]
1475,50 unequal: No Solution
Moving to Node #0,3,0
Current State: 50:[19, 53], Operations: ['57-38=19', '59-6=53']
Exploring Operation: 53-19=34, Resulting Numbers: [34]
34,50 unequal: No Solution
Exploring Operation: 19+53=72, Resulting Numbers: [72]
72,50 unequal: No Solution
Exploring Operation: 19*53=1007, Resulting Numbers: [1007]
1007,50 unequal: No Solution
Moving to Node #0,2,2
Current State: 50:[6, 40], Operations: ['59-57=2', '38+2=40']
Exploring Operation: 6+40=46, Resulting Numbers: [46]
46,50 unequal: No Solution
Exploring Operation: 6*40=240, Resulting Numbers: [240]
240,50 unequal: No Solution
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,50 unequal: No Solution
Moving to Node #0,3,3
Current State: 50:[6, 40], Operations: ['57-38=19', '59-19=40']
Exploring Operation: 6*40=240, Resulting Numbers: [240]
240,50 unequal: No Solution
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,50 unequal: No Solution
Exploring Operation: 6+40=46, Resulting Numbers: [46]
46,50 unequal: No Solution
Moving to Node #0,3,1
Current State: 50:[59, 13], Operations: ['57-38=19', '19-6=13']
Exploring Operation: 59-13=46, Resulting Numbers: [46]
46,50 unequal: No Solution
Exploring Operation: 59+13=72, Resulting Numbers: [72]
72,50 unequal: No Solution
Exploring Operation: 59*13=767, Resulting Numbers: [767]
767,50 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
83,
75,
46,
24
] | 78 | [
"83-75=8",
"46+24=70",
"8+70=78"
] | Current State: 78:[83, 75, 46, 24], Operations: []
Exploring Operation: 83-75=8, Resulting Numbers: [46, 24, 8]
Generated Node #2: [46, 24, 8] from Operation: 83-75=8
Current State: 78:[46, 24, 8], Operations: ['83-75=8']
Exploring Operation: 46+24=70, Resulting Numbers: [8, 70]
Generated Node #3: [8, 70] from Operation: 46+24=70
Current State: 78:[8, 70], Operations: ['83-75=8', '46+24=70']
Exploring Operation: 8+70=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[83, 75, 46, 24], Operations: []
Exploring Operation: 75-46=29, Resulting Numbers: [83, 24, 29]
Generated Node #0,0: 78:[83, 24, 29] Operation: 75-46=29
Exploring Operation: 83-46=37, Resulting Numbers: [75, 24, 37]
Generated Node #0,1: 78:[75, 24, 37] Operation: 83-46=37
Moving to Node #0,1
Current State: 78:[75, 24, 37], Operations: ['83-46=37']
Exploring Operation: 37-24=13, Resulting Numbers: [75, 13]
Generated Node #0,1,0: 78:[75, 13] Operation: 37-24=13
Exploring Operation: 75-37=38, Resulting Numbers: [24, 38]
Generated Node #0,1,1: 78:[24, 38] Operation: 75-37=38
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 78:[75, 13], Operations: ['83-46=37', '37-24=13']
Exploring Operation: 75-13=62, Resulting Numbers: [62]
62,78 unequal: No Solution
Exploring Operation: 75+13=88, Resulting Numbers: [88]
88,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 78:[24, 38], Operations: ['83-46=37', '75-37=38']
Exploring Operation: 24+38=62, Resulting Numbers: [62]
62,78 unequal: No Solution
Exploring Operation: 38-24=14, Resulting Numbers: [14]
14,78 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: 78:[83, 24, 29], Operations: ['75-46=29']
Exploring Operation: 83-29=54, Resulting Numbers: [24, 54]
Generated Node #0,0,0: 78:[24, 54] Operation: 83-29=54
Exploring Operation: 29-24=5, Resulting Numbers: [83, 5]
Generated Node #0,0,1: 78:[83, 5] Operation: 29-24=5
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 78:[83, 5], Operations: ['75-46=29', '29-24=5']
Exploring Operation: 83-5=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[83, 75, 46, 24], Operations: []
Exploring Operation: 75-46=29, Resulting Numbers: [83, 24, 29]
Generated Node #0,0: 78:[83, 24, 29] Operation: 75-46=29
Moving to Node #0,0
Current State: 78:[83, 24, 29], Operations: ['75-46=29']
Exploring Operation: 29-24=5, Resulting Numbers: [83, 5]
Generated Node #0,0,1: 78:[83, 5] Operation: 29-24=5
Moving to Node #0,0,1
Current State: 78:[83, 5], Operations: ['75-46=29', '29-24=5']
Exploring Operation: 83-5=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
94,
31,
54,
1
] | 51 | [
"94-1=93",
"93/31=3",
"54-3=51"
] | Current State: 51:[94, 31, 54, 1], Operations: []
Exploring Operation: 94-1=93, Resulting Numbers: [31, 54, 93]
Generated Node #2: [31, 54, 93] from Operation: 94-1=93
Current State: 51:[31, 54, 93], Operations: ['94-1=93']
Exploring Operation: 93/31=3, Resulting Numbers: [54, 3]
Generated Node #3: [54, 3] from Operation: 93/31=3
Current State: 51:[54, 3], Operations: ['94-1=93', '93/31=3']
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[94, 31, 54, 1], Operations: []
Exploring Operation: 94-31=63, Resulting Numbers: [54, 1, 63]
Generated Node #0,0: 51:[54, 1, 63] Operation: 94-31=63
Exploring Operation: 54-31=23, Resulting Numbers: [94, 1, 23]
Generated Node #0,1: 51:[94, 1, 23] Operation: 54-31=23
Exploring Operation: 94-54=40, Resulting Numbers: [31, 1, 40]
Generated Node #0,2: 51:[31, 1, 40] Operation: 94-54=40
Exploring Operation: 94-1=93, Resulting Numbers: [31, 54, 93]
Generated Node #0,3: 51:[31, 54, 93] Operation: 94-1=93
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[54, 1, 63], Operations: ['94-31=63']
Exploring Operation: 63-1=62, Resulting Numbers: [54, 62]
Generated Node #0,0,0: 51:[54, 62] Operation: 63-1=62
Exploring Operation: 63-54=9, Resulting Numbers: [1, 9]
Generated Node #0,0,1: 51:[1, 9] Operation: 63-54=9
Exploring Operation: 54-1=53, Resulting Numbers: [63, 53]
Generated Node #0,0,2: 51:[63, 53] Operation: 54-1=53
Exploring Operation: 54*1=54, Resulting Numbers: [63, 54]
Generated Node #0,0,3: 51:[63, 54] Operation: 54*1=54
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 51:[1, 9], Operations: ['94-31=63', '63-54=9']
Exploring Operation: 1*9=9, Resulting Numbers: [9]
9,51 unequal: No Solution
Exploring Operation: 1+9=10, Resulting Numbers: [10]
10,51 unequal: No Solution
Exploring Operation: 9/1=9, Resulting Numbers: [9]
9,51 unequal: No Solution
Exploring Operation: 9-1=8, Resulting Numbers: [8]
8,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 51:[54, 62], Operations: ['94-31=63', '63-1=62']
Exploring Operation: 62-54=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 54+62=116, Resulting Numbers: [116]
116,51 unequal: No Solution
Exploring Operation: 54*62=3348, Resulting Numbers: [3348]
3348,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 51:[63, 53], Operations: ['94-31=63', '54-1=53']
Exploring Operation: 63*53=3339, Resulting Numbers: [3339]
3339,51 unequal: No Solution
Exploring Operation: 63+53=116, Resulting Numbers: [116]
116,51 unequal: No Solution
Exploring Operation: 63-53=10, Resulting Numbers: [10]
10,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 51:[63, 54], Operations: ['94-31=63', '54*1=54']
Exploring Operation: 63+54=117, Resulting Numbers: [117]
117,51 unequal: No Solution
Exploring Operation: 63-54=9, Resulting Numbers: [9]
9,51 unequal: No Solution
Exploring Operation: 63*54=3402, Resulting Numbers: [3402]
3402,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[31, 1, 40], Operations: ['94-54=40']
Exploring Operation: 31-1=30, Resulting Numbers: [40, 30]
Generated Node #0,2,0: 51:[40, 30] Operation: 31-1=30
Exploring Operation: 31+40=71, Resulting Numbers: [1, 71]
Generated Node #0,2,1: 51:[1, 71] Operation: 31+40=71
Exploring Operation: 40-31=9, Resulting Numbers: [1, 9]
Generated Node #0,2,2: 51:[1, 9] Operation: 40-31=9
Exploring Operation: 1+40=41, Resulting Numbers: [31, 41]
Generated Node #0,2,3: 51:[31, 41] Operation: 1+40=41
Moving to Node #0,2,2
Current State: 51:[1, 9], Operations: ['94-54=40', '40-31=9']
Exploring Operation: 1+9=10, Resulting Numbers: [10]
10,51 unequal: No Solution
Exploring Operation: 9/1=9, Resulting Numbers: [9]
9,51 unequal: No Solution
Exploring Operation: 9-1=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 1*9=9, Resulting Numbers: [9]
9,51 unequal: No Solution
Moving to Node #0,2,1
Current State: 51:[1, 71], Operations: ['94-54=40', '31+40=71']
Exploring Operation: 1*71=71, Resulting Numbers: [71]
71,51 unequal: No Solution
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,51 unequal: No Solution
Exploring Operation: 1+71=72, Resulting Numbers: [72]
72,51 unequal: No Solution
Exploring Operation: 71/1=71, Resulting Numbers: [71]
71,51 unequal: No Solution
Moving to Node #0,2,3
Current State: 51:[31, 41], Operations: ['94-54=40', '1+40=41']
Exploring Operation: 41-31=10, Resulting Numbers: [10]
10,51 unequal: No Solution
Exploring Operation: 31+41=72, Resulting Numbers: [72]
72,51 unequal: No Solution
Exploring Operation: 31*41=1271, Resulting Numbers: [1271]
1271,51 unequal: No Solution
Moving to Node #0,2,0
Current State: 51:[40, 30], Operations: ['94-54=40', '31-1=30']
Exploring Operation: 40+30=70, Resulting Numbers: [70]
70,51 unequal: No Solution
Exploring Operation: 40-30=10, Resulting Numbers: [10]
10,51 unequal: No Solution
Exploring Operation: 40*30=1200, Resulting Numbers: [1200]
1200,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[94, 1, 23], Operations: ['54-31=23']
Exploring Operation: 94*1=94, Resulting Numbers: [23, 94]
Generated Node #0,1,0: 51:[23, 94] Operation: 94*1=94
Exploring Operation: 94-1=93, Resulting Numbers: [23, 93]
Generated Node #0,1,1: 51:[23, 93] Operation: 94-1=93
Exploring Operation: 23-1=22, Resulting Numbers: [94, 22]
Generated Node #0,1,2: 51:[94, 22] Operation: 23-1=22
Exploring Operation: 94-23=71, Resulting Numbers: [1, 71]
Generated Node #0,1,3: 51:[1, 71] Operation: 94-23=71
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 51:[1, 71], Operations: ['54-31=23', '94-23=71']
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,51 unequal: No Solution
Exploring Operation: 1*71=71, Resulting Numbers: [71]
71,51 unequal: No Solution
Exploring Operation: 1+71=72, Resulting Numbers: [72]
72,51 unequal: No Solution
Exploring Operation: 71/1=71, Resulting Numbers: [71]
71,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 51:[23, 93], Operations: ['54-31=23', '94-1=93']
Exploring Operation: 23+93=116, Resulting Numbers: [116]
116,51 unequal: No Solution
Exploring Operation: 23*93=2139, Resulting Numbers: [2139]
2139,51 unequal: No Solution
Exploring Operation: 93-23=70, Resulting Numbers: [70]
70,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 51:[94, 22], Operations: ['54-31=23', '23-1=22']
Exploring Operation: 94+22=116, Resulting Numbers: [116]
116,51 unequal: No Solution
Exploring Operation: 94-22=72, Resulting Numbers: [72]
72,51 unequal: No Solution
Exploring Operation: 94*22=2068, Resulting Numbers: [2068]
2068,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 51:[23, 94], Operations: ['54-31=23', '94*1=94']
Exploring Operation: 23+94=117, Resulting Numbers: [117]
117,51 unequal: No Solution
Exploring Operation: 94-23=71, Resulting Numbers: [71]
71,51 unequal: No Solution
Exploring Operation: 23*94=2162, Resulting Numbers: [2162]
2162,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 51:[31, 54, 93], Operations: ['94-1=93']
Exploring Operation: 93/31=3, Resulting Numbers: [54, 3]
Generated Node #0,3,0: 51:[54, 3] Operation: 93/31=3
Exploring Operation: 54-31=23, Resulting Numbers: [93, 23]
Generated Node #0,3,1: 51:[93, 23] Operation: 54-31=23
Exploring Operation: 93-54=39, Resulting Numbers: [31, 39]
Generated Node #0,3,2: 51:[31, 39] Operation: 93-54=39
Exploring Operation: 93-31=62, Resulting Numbers: [54, 62]
Generated Node #0,3,3: 51:[54, 62] Operation: 93-31=62
Moving to Node #0,3,0
Current State: 51:[54, 3], Operations: ['94-1=93', '93/31=3']
Exploring Operation: 54*3=162, Resulting Numbers: [162]
162,51 unequal: No Solution
Exploring Operation: 54+3=57, Resulting Numbers: [57]
57,51 unequal: No Solution
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[94, 31, 54, 1], Operations: []
Exploring Operation: 94-1=93, Resulting Numbers: [31, 54, 93]
Generated Node #0,3: 51:[31, 54, 93] Operation: 94-1=93
Moving to Node #0,3
Current State: 51:[31, 54, 93], Operations: ['94-1=93']
Exploring Operation: 93/31=3, Resulting Numbers: [54, 3]
Generated Node #0,3,0: 51:[54, 3] Operation: 93/31=3
Moving to Node #0,3,0
Current State: 51:[54, 3], Operations: ['94-1=93', '93/31=3']
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.94184 | hs_4 | mult_heuristic |
[
97,
2,
53,
65
] | 11 | [
"97-65=32",
"2*32=64",
"64-53=11"
] | Current State: 11:[97, 2, 53, 65], Operations: []
Exploring Operation: 97-65=32, Resulting Numbers: [2, 53, 32]
Generated Node #2: [2, 53, 32] from Operation: 97-65=32
Current State: 11:[2, 53, 32], Operations: ['97-65=32']
Exploring Operation: 2*32=64, Resulting Numbers: [53, 64]
Generated Node #3: [53, 64] from Operation: 2*32=64
Current State: 11:[53, 64], Operations: ['97-65=32', '2*32=64']
Exploring Operation: 64-53=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[97, 2, 53, 65], Operations: []
Exploring Operation: 97-65=32, Resulting Numbers: [2, 53, 32]
Generated Node #0,0: 11:[2, 53, 32] Operation: 97-65=32
Exploring Operation: 97-2=95, Resulting Numbers: [53, 65, 95]
Generated Node #0,1: 11:[53, 65, 95] Operation: 97-2=95
Exploring Operation: 65-53=12, Resulting Numbers: [97, 2, 12]
Generated Node #0,2: 11:[97, 2, 12] Operation: 65-53=12
Exploring Operation: 97-53=44, Resulting Numbers: [2, 65, 44]
Generated Node #0,3: 11:[2, 65, 44] Operation: 97-53=44
Moving to Node #0,0
Current State: 11:[2, 53, 32], Operations: ['97-65=32']
Exploring Operation: 32/2=16, Resulting Numbers: [53, 16]
Generated Node #0,0,0: 11:[53, 16] Operation: 32/2=16
Exploring Operation: 32-2=30, Resulting Numbers: [53, 30]
Generated Node #0,0,1: 11:[53, 30] Operation: 32-2=30
Exploring Operation: 53-2=51, Resulting Numbers: [32, 51]
Generated Node #0,0,2: 11:[32, 51] Operation: 53-2=51
Exploring Operation: 53-32=21, Resulting Numbers: [2, 21]
Generated Node #0,0,3: 11:[2, 21] Operation: 53-32=21
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 11:[2, 21], Operations: ['97-65=32', '53-32=21']
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,11 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,11 unequal: No Solution
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,11 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:[53, 16], Operations: ['97-65=32', '32/2=16']
Exploring Operation: 53-16=37, Resulting Numbers: [37]
37,11 unequal: No Solution
Exploring Operation: 53*16=848, Resulting Numbers: [848]
848,11 unequal: No Solution
Exploring Operation: 53+16=69, Resulting Numbers: [69]
69,11 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:[53, 30], Operations: ['97-65=32', '32-2=30']
Exploring Operation: 53-30=23, Resulting Numbers: [23]
23,11 unequal: No Solution
Exploring Operation: 53*30=1590, Resulting Numbers: [1590]
1590,11 unequal: No Solution
Exploring Operation: 53+30=83, Resulting Numbers: [83]
83,11 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:[32, 51], Operations: ['97-65=32', '53-2=51']
Exploring Operation: 32+51=83, Resulting Numbers: [83]
83,11 unequal: No Solution
Exploring Operation: 51-32=19, Resulting Numbers: [19]
19,11 unequal: No Solution
Exploring Operation: 32*51=1632, Resulting Numbers: [1632]
1632,11 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: 11:[2, 65, 44], Operations: ['97-53=44']
Exploring Operation: 44/2=22, Resulting Numbers: [65, 22]
Generated Node #0,3,0: 11:[65, 22] Operation: 44/2=22
Exploring Operation: 65-2=63, Resulting Numbers: [44, 63]
Generated Node #0,3,1: 11:[44, 63] Operation: 65-2=63
Exploring Operation: 65-44=21, Resulting Numbers: [2, 21]
Generated Node #0,3,2: 11:[2, 21] Operation: 65-44=21
Exploring Operation: 44-2=42, Resulting Numbers: [65, 42]
Generated Node #0,3,3: 11:[65, 42] Operation: 44-2=42
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 11:[2, 21], Operations: ['97-53=44', '65-44=21']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,11 unequal: No Solution
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,11 unequal: No Solution
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,11 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 #0,3,0
Current State: 11:[65, 22], Operations: ['97-53=44', '44/2=22']
Exploring Operation: 65-22=43, Resulting Numbers: [43]
43,11 unequal: No Solution
Exploring Operation: 65*22=1430, Resulting Numbers: [1430]
1430,11 unequal: No Solution
Exploring Operation: 65+22=87, Resulting Numbers: [87]
87,11 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 #0,3,1
Current State: 11:[44, 63], Operations: ['97-53=44', '65-2=63']
Exploring Operation: 44*63=2772, Resulting Numbers: [2772]
2772,11 unequal: No Solution
Exploring Operation: 63-44=19, Resulting Numbers: [19]
19,11 unequal: No Solution
Exploring Operation: 44+63=107, Resulting Numbers: [107]
107,11 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 #0,3,3
Current State: 11:[65, 42], Operations: ['97-53=44', '44-2=42']
Exploring Operation: 65*42=2730, Resulting Numbers: [2730]
2730,11 unequal: No Solution
Exploring Operation: 65-42=23, Resulting Numbers: [23]
23,11 unequal: No Solution
Exploring Operation: 65+42=107, Resulting Numbers: [107]
107,11 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:[97, 2, 12], Operations: ['65-53=12']
Exploring Operation: 97+2=99, Resulting Numbers: [12, 99]
Generated Node #0,2,0: 11:[12, 99] Operation: 97+2=99
Exploring Operation: 97-2=95, Resulting Numbers: [12, 95]
Generated Node #0,2,1: 11:[12, 95] Operation: 97-2=95
Exploring Operation: 12-2=10, Resulting Numbers: [97, 10]
Generated Node #0,2,2: 11:[97, 10] Operation: 12-2=10
Exploring Operation: 97-12=85, Resulting Numbers: [2, 85]
Generated Node #0,2,3: 11:[2, 85] Operation: 97-12=85
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 11:[2, 85], Operations: ['65-53=12', '97-12=85']
Exploring Operation: 2+85=87, Resulting Numbers: [87]
87,11 unequal: No Solution
Exploring Operation: 85-2=83, Resulting Numbers: [83]
83,11 unequal: No Solution
Exploring Operation: 2*85=170, Resulting Numbers: [170]
170,11 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:[12, 95], Operations: ['65-53=12', '97-2=95']
Exploring Operation: 12+95=107, Resulting Numbers: [107]
107,11 unequal: No Solution
Exploring Operation: 12*95=1140, Resulting Numbers: [1140]
1140,11 unequal: No Solution
Exploring Operation: 95-12=83, Resulting Numbers: [83]
83,11 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 #0,2,2
Current State: 11:[97, 10], Operations: ['65-53=12', '12-2=10']
Exploring Operation: 97-10=87, Resulting Numbers: [87]
87,11 unequal: No Solution
Exploring Operation: 97*10=970, Resulting Numbers: [970]
970,11 unequal: No Solution
Exploring Operation: 97+10=107, Resulting Numbers: [107]
107,11 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:[12, 99], Operations: ['65-53=12', '97+2=99']
Exploring Operation: 12*99=1188, Resulting Numbers: [1188]
1188,11 unequal: No Solution
Exploring Operation: 12+99=111, Resulting Numbers: [111]
111,11 unequal: No Solution
Exploring Operation: 99-12=87, Resulting Numbers: [87]
87,11 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: 11:[53, 65, 95], Operations: ['97-2=95']
Exploring Operation: 53+65=118, Resulting Numbers: [95, 118]
Generated Node #0,1,0: 11:[95, 118] Operation: 53+65=118
Exploring Operation: 65-53=12, Resulting Numbers: [95, 12]
Generated Node #0,1,1: 11:[95, 12] Operation: 65-53=12
Exploring Operation: 95-65=30, Resulting Numbers: [53, 30]
Generated Node #0,1,2: 11:[53, 30] Operation: 95-65=30
Exploring Operation: 95-53=42, Resulting Numbers: [65, 42]
Generated Node #0,1,3: 11:[65, 42] Operation: 95-53=42
Moving to Node #0,1,2
Current State: 11:[53, 30], Operations: ['97-2=95', '95-65=30']
Exploring Operation: 53-30=23, Resulting Numbers: [23]
23,11 unequal: No Solution
Exploring Operation: 53*30=1590, Resulting Numbers: [1590]
1590,11 unequal: No Solution
Exploring Operation: 53+30=83, Resulting Numbers: [83]
83,11 unequal: No Solution
Moving to Node #0,1,3
Current State: 11:[65, 42], Operations: ['97-2=95', '95-53=42']
Exploring Operation: 65*42=2730, Resulting Numbers: [2730]
2730,11 unequal: No Solution
Exploring Operation: 65+42=107, Resulting Numbers: [107]
107,11 unequal: No Solution
Exploring Operation: 65-42=23, Resulting Numbers: [23]
23,11 unequal: No Solution
Moving to Node #0,1,1
Current State: 11:[95, 12], Operations: ['97-2=95', '65-53=12']
Exploring Operation: 95-12=83, Resulting Numbers: [83]
83,11 unequal: No Solution
Exploring Operation: 95+12=107, Resulting Numbers: [107]
107,11 unequal: No Solution
Exploring Operation: 95*12=1140, Resulting Numbers: [1140]
1140,11 unequal: No Solution
Moving to Node #0,1,0
Current State: 11:[95, 118], Operations: ['97-2=95', '53+65=118']
Exploring Operation: 95*118=11210, Resulting Numbers: [11210]
11210,11 unequal: No Solution
Exploring Operation: 118-95=23, Resulting Numbers: [23]
23,11 unequal: No Solution
Exploring Operation: 95+118=213, Resulting Numbers: [213]
213,11 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
78,
8,
87,
45
] | 62 | [
"78-8=70",
"87+45=132",
"132-70=62"
] | Current State: 62:[78, 8, 87, 45], Operations: []
Exploring Operation: 78-8=70, Resulting Numbers: [87, 45, 70]
Generated Node #2: [87, 45, 70] from Operation: 78-8=70
Current State: 62:[87, 45, 70], Operations: ['78-8=70']
Exploring Operation: 87+45=132, Resulting Numbers: [70, 132]
Generated Node #3: [70, 132] from Operation: 87+45=132
Current State: 62:[70, 132], Operations: ['78-8=70', '87+45=132']
Exploring Operation: 132-70=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[78, 8, 87, 45], Operations: []
Exploring Operation: 87-78=9, Resulting Numbers: [8, 45, 9]
Generated Node #0,0: 62:[8, 45, 9] Operation: 87-78=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[8, 45, 9], Operations: ['87-78=9']
Exploring Operation: 45/9=5, Resulting Numbers: [8, 5]
Generated Node #0,0,0: 62:[8, 5] Operation: 45/9=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 62:[8, 5], Operations: ['87-78=9', '45/9=5']
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
6,
17,
64,
8
] | 86 | [
"17+8=25",
"6*25=150",
"150-64=86"
] | Current State: 86:[6, 17, 64, 8], Operations: []
Exploring Operation: 17+8=25, Resulting Numbers: [6, 64, 25]
Generated Node #2: [6, 64, 25] from Operation: 17+8=25
Current State: 86:[6, 64, 25], Operations: ['17+8=25']
Exploring Operation: 6*25=150, Resulting Numbers: [64, 150]
Generated Node #3: [64, 150] from Operation: 6*25=150
Current State: 86:[64, 150], Operations: ['17+8=25', '6*25=150']
Exploring Operation: 150-64=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[6, 17, 64, 8], Operations: []
Exploring Operation: 64-17=47, Resulting Numbers: [6, 8, 47]
Generated Node #0,0: 86:[6, 8, 47] Operation: 64-17=47
Exploring Operation: 17+64=81, Resulting Numbers: [6, 8, 81]
Generated Node #0,1: 86:[6, 8, 81] Operation: 17+64=81
Moving to Node #0,0
Current State: 86:[6, 8, 47], Operations: ['64-17=47']
Exploring Operation: 8-6=2, Resulting Numbers: [47, 2]
Generated Node #0,0,0: 86:[47, 2] Operation: 8-6=2
Exploring Operation: 47-6=41, Resulting Numbers: [8, 41]
Generated Node #0,0,1: 86:[8, 41] Operation: 47-6=41
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 86:[47, 2], Operations: ['64-17=47', '8-6=2']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,86 unequal: No Solution
Exploring Operation: 47+2=49, Resulting Numbers: [49]
49,86 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 #0,0,1
Current State: 86:[8, 41], Operations: ['64-17=47', '47-6=41']
Exploring Operation: 41-8=33, Resulting Numbers: [33]
33,86 unequal: No Solution
Exploring Operation: 8+41=49, Resulting Numbers: [49]
49,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 86:[6, 8, 81], Operations: ['17+64=81']
Exploring Operation: 8-6=2, Resulting Numbers: [81, 2]
Generated Node #0,1,0: 86:[81, 2] Operation: 8-6=2
Exploring Operation: 6+81=87, Resulting Numbers: [8, 87]
Generated Node #0,1,1: 86:[8, 87] Operation: 6+81=87
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 86:[81, 2], Operations: ['17+64=81', '8-6=2']
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,86 unequal: No Solution
Exploring Operation: 81+2=83, Resulting Numbers: [83]
83,86 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 #0,1,1
Current State: 86:[8, 87], Operations: ['17+64=81', '6+81=87']
Exploring Operation: 87-8=79, Resulting Numbers: [79]
79,86 unequal: No Solution
Exploring Operation: 8+87=95, Resulting Numbers: [95]
95,86 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 |
[
9,
55,
3,
81
] | 78 | [
"9/3=3",
"81-55=26",
"3*26=78"
] | Current State: 78:[9, 55, 3, 81], Operations: []
Exploring Operation: 9/3=3, Resulting Numbers: [55, 81, 3]
Generated Node #2: [55, 81, 3] from Operation: 9/3=3
Current State: 78:[55, 81, 3], Operations: ['9/3=3']
Exploring Operation: 81-55=26, Resulting Numbers: [3, 26]
Generated Node #3: [3, 26] from Operation: 81-55=26
Current State: 78:[3, 26], Operations: ['9/3=3', '81-55=26']
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[9, 55, 3, 81], Operations: []
Exploring Operation: 55-9=46, Resulting Numbers: [3, 81, 46]
Generated Node #0,0: 78:[3, 81, 46] Operation: 55-9=46
Exploring Operation: 81-55=26, Resulting Numbers: [9, 3, 26]
Generated Node #0,1: 78:[9, 3, 26] Operation: 81-55=26
Moving to Node #0,1
Current State: 78:[9, 3, 26], Operations: ['81-55=26']
Exploring Operation: 9-3=6, Resulting Numbers: [26, 6]
Generated Node #0,1,0: 78:[26, 6] Operation: 9-3=6
Exploring Operation: 9/3=3, Resulting Numbers: [26, 3]
Generated Node #0,1,1: 78:[26, 3] Operation: 9/3=3
Moving to Node #0,0
Current State: 78:[3, 81, 46], Operations: ['55-9=46']
Exploring Operation: 81-3=78, Resulting Numbers: [46, 78]
Generated Node #0,0,0: 78:[46, 78] Operation: 81-3=78
Exploring Operation: 81-46=35, Resulting Numbers: [3, 35]
Generated Node #0,0,1: 78:[3, 35] Operation: 81-46=35
Moving to Node #0,1,0
Current State: 78:[26, 6], Operations: ['81-55=26', '9-3=6']
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,78 unequal: No Solution
Exploring Operation: 26+6=32, Resulting Numbers: [32]
32,78 unequal: No Solution
Moving to Node #0,1,1
Current State: 78:[26, 3], Operations: ['81-55=26', '9/3=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[9, 55, 3, 81], Operations: []
Exploring Operation: 81-55=26, Resulting Numbers: [9, 3, 26]
Generated Node #0,1: 78:[9, 3, 26] Operation: 81-55=26
Moving to Node #0,1
Current State: 78:[9, 3, 26], Operations: ['81-55=26']
Exploring Operation: 9/3=3, Resulting Numbers: [26, 3]
Generated Node #0,1,1: 78:[26, 3] Operation: 9/3=3
Moving to Node #0,1,1
Current State: 78:[26, 3], Operations: ['81-55=26', '9/3=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 0.988715 | hs_2 | mult_heuristic |
[
22,
83,
10,
2
] | 53 | [
"83-22=61",
"10-2=8",
"61-8=53"
] | Current State: 53:[22, 83, 10, 2], Operations: []
Exploring Operation: 83-22=61, Resulting Numbers: [10, 2, 61]
Generated Node #2: [10, 2, 61] from Operation: 83-22=61
Current State: 53:[10, 2, 61], Operations: ['83-22=61']
Exploring Operation: 10-2=8, Resulting Numbers: [61, 8]
Generated Node #3: [61, 8] from Operation: 10-2=8
Current State: 53:[61, 8], Operations: ['83-22=61', '10-2=8']
Exploring Operation: 61-8=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[22, 83, 10, 2], Operations: []
Exploring Operation: 10*2=20, Resulting Numbers: [22, 83, 20]
Generated Node #0,0: 53:[22, 83, 20] Operation: 10*2=20
Exploring Operation: 22*2=44, Resulting Numbers: [83, 10, 44]
Generated Node #0,1: 53:[83, 10, 44] Operation: 22*2=44
Exploring Operation: 83-22=61, Resulting Numbers: [10, 2, 61]
Generated Node #0,2: 53:[10, 2, 61] Operation: 83-22=61
Start Sub Search at level 1: Moving to Node #0,1
Current State: 53:[83, 10, 44], Operations: ['22*2=44']
Exploring Operation: 83-10=73, Resulting Numbers: [44, 73]
Generated Node #0,1,0: 53:[44, 73] Operation: 83-10=73
Exploring Operation: 83+10=93, Resulting Numbers: [44, 93]
Generated Node #0,1,1: 53:[44, 93] Operation: 83+10=93
Exploring Operation: 10+44=54, Resulting Numbers: [83, 54]
Generated Node #0,1,2: 53:[83, 54] Operation: 10+44=54
Moving to Node #0,1,0
Current State: 53:[44, 73], Operations: ['22*2=44', '83-10=73']
Exploring Operation: 73-44=29, Resulting Numbers: [29]
29,53 unequal: No Solution
Exploring Operation: 44*73=3212, Resulting Numbers: [3212]
3212,53 unequal: No Solution
Exploring Operation: 44+73=117, Resulting Numbers: [117]
117,53 unequal: No Solution
Moving to Node #0,1,2
Current State: 53:[83, 54], Operations: ['22*2=44', '10+44=54']
Exploring Operation: 83-54=29, Resulting Numbers: [29]
29,53 unequal: No Solution
Exploring Operation: 83+54=137, Resulting Numbers: [137]
137,53 unequal: No Solution
Exploring Operation: 83*54=4482, Resulting Numbers: [4482]
4482,53 unequal: No Solution
Moving to Node #0,1,1
Current State: 53:[44, 93], Operations: ['22*2=44', '83+10=93']
Exploring Operation: 44*93=4092, Resulting Numbers: [4092]
4092,53 unequal: No Solution
Exploring Operation: 93-44=49, Resulting Numbers: [49]
49,53 unequal: No Solution
Exploring Operation: 44+93=137, Resulting Numbers: [137]
137,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[22, 83, 20], Operations: ['10*2=20']
Exploring Operation: 22+20=42, Resulting Numbers: [83, 42]
Generated Node #0,0,0: 53:[83, 42] Operation: 22+20=42
Exploring Operation: 83-20=63, Resulting Numbers: [22, 63]
Generated Node #0,0,1: 53:[22, 63] Operation: 83-20=63
Exploring Operation: 83-22=61, Resulting Numbers: [20, 61]
Generated Node #0,0,2: 53:[20, 61] Operation: 83-22=61
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 53:[83, 42], Operations: ['10*2=20', '22+20=42']
Exploring Operation: 83-42=41, Resulting Numbers: [41]
41,53 unequal: No Solution
Exploring Operation: 83+42=125, Resulting Numbers: [125]
125,53 unequal: No Solution
Exploring Operation: 83*42=3486, Resulting Numbers: [3486]
3486,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 53:[22, 63], Operations: ['10*2=20', '83-20=63']
Exploring Operation: 63-22=41, Resulting Numbers: [41]
41,53 unequal: No Solution
Exploring Operation: 22*63=1386, Resulting Numbers: [1386]
1386,53 unequal: No Solution
Exploring Operation: 22+63=85, Resulting Numbers: [85]
85,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 53:[20, 61], Operations: ['10*2=20', '83-22=61']
Exploring Operation: 20*61=1220, Resulting Numbers: [1220]
1220,53 unequal: No Solution
Exploring Operation: 20+61=81, Resulting Numbers: [81]
81,53 unequal: No Solution
Exploring Operation: 61-20=41, Resulting Numbers: [41]
41,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 53:[10, 2, 61], Operations: ['83-22=61']
Exploring Operation: 61-2=59, Resulting Numbers: [10, 59]
Generated Node #0,2,0: 53:[10, 59] Operation: 61-2=59
Exploring Operation: 10+2=12, Resulting Numbers: [61, 12]
Generated Node #0,2,1: 53:[61, 12] Operation: 10+2=12
Exploring Operation: 10*2=20, Resulting Numbers: [61, 20]
Generated Node #0,2,2: 53:[61, 20] Operation: 10*2=20
Moving to Node #0,2,2
Current State: 53:[61, 20], Operations: ['83-22=61', '10*2=20']
Exploring Operation: 61+20=81, Resulting Numbers: [81]
81,53 unequal: No Solution
Exploring Operation: 61*20=1220, Resulting Numbers: [1220]
1220,53 unequal: No Solution
Exploring Operation: 61-20=41, Resulting Numbers: [41]
41,53 unequal: No Solution
Moving to Node #0,2,0
Current State: 53:[10, 59], Operations: ['83-22=61', '61-2=59']
Exploring Operation: 10*59=590, Resulting Numbers: [590]
590,53 unequal: No Solution
Exploring Operation: 10+59=69, Resulting Numbers: [69]
69,53 unequal: No Solution
Exploring Operation: 59-10=49, Resulting Numbers: [49]
49,53 unequal: No Solution
Moving to Node #0,2,1
Current State: 53:[61, 12], Operations: ['83-22=61', '10+2=12']
Exploring Operation: 61*12=732, Resulting Numbers: [732]
732,53 unequal: No Solution
Exploring Operation: 61+12=73, Resulting Numbers: [73]
73,53 unequal: No Solution
Exploring Operation: 61-12=49, Resulting Numbers: [49]
49,53 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 |
[
24,
25,
7,
29
] | 21 | [
"25-24=1",
"29-7=22",
"22-1=21"
] | Current State: 21:[24, 25, 7, 29], Operations: []
Exploring Operation: 25-24=1, Resulting Numbers: [7, 29, 1]
Generated Node #2: [7, 29, 1] from Operation: 25-24=1
Current State: 21:[7, 29, 1], Operations: ['25-24=1']
Exploring Operation: 29-7=22, Resulting Numbers: [1, 22]
Generated Node #3: [1, 22] from Operation: 29-7=22
Current State: 21:[1, 22], Operations: ['25-24=1', '29-7=22']
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[24, 25, 7, 29], Operations: []
Exploring Operation: 29-24=5, Resulting Numbers: [25, 7, 5]
Generated Node #0,0: 21:[25, 7, 5] Operation: 29-24=5
Exploring Operation: 29-25=4, Resulting Numbers: [24, 7, 4]
Generated Node #0,1: 21:[24, 7, 4] Operation: 29-25=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 21:[24, 7, 4], Operations: ['29-25=4']
Exploring Operation: 24-4=20, Resulting Numbers: [7, 20]
Generated Node #0,1,0: 21:[7, 20] Operation: 24-4=20
Exploring Operation: 24/4=6, Resulting Numbers: [7, 6]
Generated Node #0,1,1: 21:[7, 6] Operation: 24/4=6
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 21:[7, 20], Operations: ['29-25=4', '24-4=20']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,21 unequal: No Solution
Exploring Operation: 7+20=27, Resulting Numbers: [27]
27,21 unequal: No Solution
No 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: 21:[7, 6], Operations: ['29-25=4', '24/4=6']
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,21 unequal: No Solution
Exploring Operation: 7+6=13, Resulting Numbers: [13]
13,21 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: 21:[25, 7, 5], Operations: ['29-24=5']
Exploring Operation: 25/5=5, Resulting Numbers: [7, 5]
Generated Node #0,0,0: 21:[7, 5] Operation: 25/5=5
Exploring Operation: 25-5=20, Resulting Numbers: [7, 20]
Generated Node #0,0,1: 21:[7, 20] Operation: 25-5=20
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 21:[7, 20], Operations: ['29-24=5', '25-5=20']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,21 unequal: No Solution
Exploring Operation: 7+20=27, Resulting Numbers: [27]
27,21 unequal: No Solution
No 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: 21:[7, 5], Operations: ['29-24=5', '25/5=5']
Exploring Operation: 7+5=12, Resulting Numbers: [12]
12,21 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
2,
2,
95,
5
] | 99 | [
"2/2=1",
"95+5=100",
"100-1=99"
] | Current State: 99:[2, 2, 95, 5], Operations: []
Exploring Operation: 2/2=1, Resulting Numbers: [95, 5, 1]
Generated Node #2: [95, 5, 1] from Operation: 2/2=1
Current State: 99:[95, 5, 1], Operations: ['2/2=1']
Exploring Operation: 95+5=100, Resulting Numbers: [1, 100]
Generated Node #3: [1, 100] from Operation: 95+5=100
Current State: 99:[1, 100], Operations: ['2/2=1', '95+5=100']
Exploring Operation: 100-1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[2, 2, 95, 5], Operations: []
Exploring Operation: 5-2=3, Resulting Numbers: [2, 95, 3]
Generated Node #0,0: 99:[2, 95, 3] Operation: 5-2=3
Exploring Operation: 2+95=97, Resulting Numbers: [2, 5, 97]
Generated Node #0,1: 99:[2, 5, 97] Operation: 2+95=97
Exploring Operation: 95+5=100, Resulting Numbers: [2, 2, 100]
Generated Node #0,2: 99:[2, 2, 100] Operation: 95+5=100
Exploring Operation: 5-2=3, Resulting Numbers: [2, 95, 3]
Generated Node #0,3: 99:[2, 95, 3] Operation: 5-2=3
Exploring Operation: 2+95=97, Resulting Numbers: [2, 5, 97]
Generated Node #0,4: 99:[2, 5, 97] Operation: 2+95=97
Moving to Node #0,2
Current State: 99:[2, 2, 100], Operations: ['95+5=100']
Exploring Operation: 2+2=4, Resulting Numbers: [100, 4]
Generated Node #0,2,0: 99:[100, 4] Operation: 2+2=4
Exploring Operation: 100-2=98, Resulting Numbers: [2, 98]
Generated Node #0,2,1: 99:[2, 98] Operation: 100-2=98
Exploring Operation: 2/2=1, Resulting Numbers: [100, 1]
Generated Node #0,2,2: 99:[100, 1] Operation: 2/2=1
Exploring Operation: 100-2=98, Resulting Numbers: [2, 98]
Generated Node #0,2,3: 99:[2, 98] Operation: 100-2=98
Exploring Operation: 2*2=4, Resulting Numbers: [100, 4]
Generated Node #0,2,4: 99:[100, 4] Operation: 2*2=4
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 99:[100, 4], Operations: ['95+5=100', '2+2=4']
Exploring Operation: 100-4=96, Resulting Numbers: [96]
96,99 unequal: No Solution
Exploring Operation: 100+4=104, Resulting Numbers: [104]
104,99 unequal: No Solution
Exploring Operation: 100*4=400, Resulting Numbers: [400]
400,99 unequal: No Solution
Exploring Operation: 100/4=25, Resulting Numbers: [25]
25,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 99:[2, 98], Operations: ['95+5=100', '100-2=98']
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,99 unequal: No Solution
Exploring Operation: 2+98=100, Resulting Numbers: [100]
100,99 unequal: No Solution
Exploring Operation: 2*98=196, Resulting Numbers: [196]
196,99 unequal: No Solution
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 99:[2, 98], Operations: ['95+5=100', '100-2=98']
Exploring Operation: 2*98=196, Resulting Numbers: [196]
196,99 unequal: No Solution
Exploring Operation: 2+98=100, Resulting Numbers: [100]
100,99 unequal: No Solution
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,99 unequal: No Solution
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 99:[100, 4], Operations: ['95+5=100', '2*2=4']
Exploring Operation: 100+4=104, Resulting Numbers: [104]
104,99 unequal: No Solution
Exploring Operation: 100-4=96, Resulting Numbers: [96]
96,99 unequal: No Solution
Exploring Operation: 100*4=400, Resulting Numbers: [400]
400,99 unequal: No Solution
Exploring Operation: 100/4=25, Resulting Numbers: [25]
25,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 99:[100, 1], Operations: ['95+5=100', '2/2=1']
Exploring Operation: 100+1=101, Resulting Numbers: [101]
101,99 unequal: No Solution
Exploring Operation: 100/1=100, Resulting Numbers: [100]
100,99 unequal: No Solution
Exploring Operation: 100*1=100, Resulting Numbers: [100]
100,99 unequal: No Solution
Exploring Operation: 100-1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[2, 2, 95, 5], Operations: []
Exploring Operation: 95+5=100, Resulting Numbers: [2, 2, 100]
Generated Node #0,2: 99:[2, 2, 100] Operation: 95+5=100
Moving to Node #0,2
Current State: 99:[2, 2, 100], Operations: ['95+5=100']
Exploring Operation: 2/2=1, Resulting Numbers: [100, 1]
Generated Node #0,2,2: 99:[100, 1] Operation: 2/2=1
Moving to Node #0,2,2
Current State: 99:[100, 1], Operations: ['95+5=100', '2/2=1']
Exploring Operation: 100-1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 1
| 0.970486 | hs_5 | sum_heuristic |
[
20,
18,
42,
23
] | 19 | [
"20+18=38",
"42-23=19",
"38-19=19"
] | Current State: 19:[20, 18, 42, 23], Operations: []
Exploring Operation: 20+18=38, Resulting Numbers: [42, 23, 38]
Generated Node #2: [42, 23, 38] from Operation: 20+18=38
Current State: 19:[42, 23, 38], Operations: ['20+18=38']
Exploring Operation: 42-23=19, Resulting Numbers: [38, 19]
Generated Node #3: [38, 19] from Operation: 42-23=19
Current State: 19:[38, 19], Operations: ['20+18=38', '42-23=19']
Exploring Operation: 38-19=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[20, 18, 42, 23], Operations: []
Exploring Operation: 42-23=19, Resulting Numbers: [20, 18, 19]
Generated Node #0,0: 19:[20, 18, 19] Operation: 42-23=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[20, 18, 19], Operations: ['42-23=19']
Exploring Operation: 20-18=2, Resulting Numbers: [19, 2]
Generated Node #0,0,0: 19:[19, 2] Operation: 20-18=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 19:[19, 2], Operations: ['42-23=19', '20-18=2']
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
51,
46,
90,
22
] | 73 | [
"51-46=5",
"90-22=68",
"5+68=73"
] | Current State: 73:[51, 46, 90, 22], Operations: []
Exploring Operation: 51-46=5, Resulting Numbers: [90, 22, 5]
Generated Node #2: [90, 22, 5] from Operation: 51-46=5
Current State: 73:[90, 22, 5], Operations: ['51-46=5']
Exploring Operation: 90-22=68, Resulting Numbers: [5, 68]
Generated Node #3: [5, 68] from Operation: 90-22=68
Current State: 73:[5, 68], Operations: ['51-46=5', '90-22=68']
Exploring Operation: 5+68=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[51, 46, 90, 22], Operations: []
Exploring Operation: 90-22=68, Resulting Numbers: [51, 46, 68]
Generated Node #0,0: 73:[51, 46, 68] Operation: 90-22=68
Exploring Operation: 51-22=29, Resulting Numbers: [46, 90, 29]
Generated Node #0,1: 73:[46, 90, 29] Operation: 51-22=29
Exploring Operation: 51+22=73, Resulting Numbers: [46, 90, 73]
Generated Node #0,2: 73:[46, 90, 73] Operation: 51+22=73
Exploring Operation: 46+22=68, Resulting Numbers: [51, 90, 68]
Generated Node #0,3: 73:[51, 90, 68] Operation: 46+22=68
Exploring Operation: 46-22=24, Resulting Numbers: [51, 90, 24]
Generated Node #0,4: 73:[51, 90, 24] Operation: 46-22=24
Start Sub Search at level 1: Moving to Node #0,2
Current State: 73:[46, 90, 73], Operations: ['51+22=73']
Exploring Operation: 73-46=27, Resulting Numbers: [90, 27]
Generated Node #0,2,0: 73:[90, 27] Operation: 73-46=27
Exploring Operation: 46+90=136, Resulting Numbers: [73, 136]
Generated Node #0,2,1: 73:[73, 136] Operation: 46+90=136
Exploring Operation: 90-46=44, Resulting Numbers: [73, 44]
Generated Node #0,2,2: 73:[73, 44] Operation: 90-46=44
Exploring Operation: 90-73=17, Resulting Numbers: [46, 17]
Generated Node #0,2,3: 73:[46, 17] Operation: 90-73=17
Exploring Operation: 46+73=119, Resulting Numbers: [90, 119]
Generated Node #0,2,4: 73:[90, 119] Operation: 46+73=119
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 73:[73, 44], Operations: ['51+22=73', '90-46=44']
Exploring Operation: 73+44=117, Resulting Numbers: [117]
117,73 unequal: No Solution
Exploring Operation: 73*44=3212, Resulting Numbers: [3212]
3212,73 unequal: No Solution
Exploring Operation: 73-44=29, Resulting Numbers: [29]
29,73 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:[90, 27], Operations: ['51+22=73', '73-46=27']
Exploring Operation: 90-27=63, Resulting Numbers: [63]
63,73 unequal: No Solution
Exploring Operation: 90+27=117, Resulting Numbers: [117]
117,73 unequal: No Solution
Exploring Operation: 90*27=2430, Resulting Numbers: [2430]
2430,73 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:[73, 136], Operations: ['51+22=73', '46+90=136']
Exploring Operation: 73*136=9928, Resulting Numbers: [9928]
9928,73 unequal: No Solution
Exploring Operation: 136-73=63, Resulting Numbers: [63]
63,73 unequal: No Solution
Exploring Operation: 73+136=209, Resulting Numbers: [209]
209,73 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:[90, 119], Operations: ['51+22=73', '46+73=119']
Exploring Operation: 90+119=209, Resulting Numbers: [209]
209,73 unequal: No Solution
Exploring Operation: 119-90=29, Resulting Numbers: [29]
29,73 unequal: No Solution
Exploring Operation: 90*119=10710, Resulting Numbers: [10710]
10710,73 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 #0,2,3
Current State: 73:[46, 17], Operations: ['51+22=73', '90-73=17']
Exploring Operation: 46*17=782, Resulting Numbers: [782]
782,73 unequal: No Solution
Exploring Operation: 46+17=63, Resulting Numbers: [63]
63,73 unequal: No Solution
Exploring Operation: 46-17=29, Resulting Numbers: [29]
29,73 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:[51, 90, 68], Operations: ['46+22=68']
Exploring Operation: 68-51=17, Resulting Numbers: [90, 17]
Generated Node #0,3,0: 73:[90, 17] Operation: 68-51=17
Exploring Operation: 51+90=141, Resulting Numbers: [68, 141]
Generated Node #0,3,1: 73:[68, 141] Operation: 51+90=141
Exploring Operation: 90-68=22, Resulting Numbers: [51, 22]
Generated Node #0,3,2: 73:[51, 22] Operation: 90-68=22
Exploring Operation: 90-51=39, Resulting Numbers: [68, 39]
Generated Node #0,3,3: 73:[68, 39] Operation: 90-51=39
Exploring Operation: 51+68=119, Resulting Numbers: [90, 119]
Generated Node #0,3,4: 73:[90, 119] Operation: 51+68=119
Moving to Node #0,3,3
Current State: 73:[68, 39], Operations: ['46+22=68', '90-51=39']
Exploring Operation: 68+39=107, Resulting Numbers: [107]
107,73 unequal: No Solution
Exploring Operation: 68*39=2652, Resulting Numbers: [2652]
2652,73 unequal: No Solution
Exploring Operation: 68-39=29, Resulting Numbers: [29]
29,73 unequal: No Solution
Moving to Node #0,3,4
Current State: 73:[90, 119], Operations: ['46+22=68', '51+68=119']
Exploring Operation: 90*119=10710, Resulting Numbers: [10710]
10710,73 unequal: No Solution
Exploring Operation: 90+119=209, Resulting Numbers: [209]
209,73 unequal: No Solution
Exploring Operation: 119-90=29, Resulting Numbers: [29]
29,73 unequal: No Solution
Moving to Node #0,3,0
Current State: 73:[90, 17], Operations: ['46+22=68', '68-51=17']
Exploring Operation: 90*17=1530, Resulting Numbers: [1530]
1530,73 unequal: No Solution
Exploring Operation: 90-17=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[51, 46, 90, 22], Operations: []
Exploring Operation: 46+22=68, Resulting Numbers: [51, 90, 68]
Generated Node #0,3: 73:[51, 90, 68] Operation: 46+22=68
Moving to Node #0,3
Current State: 73:[51, 90, 68], Operations: ['46+22=68']
Exploring Operation: 68-51=17, Resulting Numbers: [90, 17]
Generated Node #0,3,0: 73:[90, 17] Operation: 68-51=17
Moving to Node #0,3,0
Current State: 73:[90, 17], Operations: ['46+22=68', '68-51=17']
Exploring Operation: 90-17=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 | hs_5 | mult_heuristic |
[
15,
42,
82,
21
] | 88 | [
"42-15=27",
"82-21=61",
"27+61=88"
] | Current State: 88:[15, 42, 82, 21], Operations: []
Exploring Operation: 42-15=27, Resulting Numbers: [82, 21, 27]
Generated Node #2: [82, 21, 27] from Operation: 42-15=27
Current State: 88:[82, 21, 27], Operations: ['42-15=27']
Exploring Operation: 82-21=61, Resulting Numbers: [27, 61]
Generated Node #3: [27, 61] from Operation: 82-21=61
Current State: 88:[27, 61], Operations: ['42-15=27', '82-21=61']
Exploring Operation: 27+61=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[15, 42, 82, 21], Operations: []
Exploring Operation: 82-42=40, Resulting Numbers: [15, 21, 40]
Generated Node #0,0: 88:[15, 21, 40] Operation: 82-42=40
Exploring Operation: 42-15=27, Resulting Numbers: [82, 21, 27]
Generated Node #0,1: 88:[82, 21, 27] Operation: 42-15=27
Exploring Operation: 42-21=21, Resulting Numbers: [15, 82, 21]
Generated Node #0,2: 88:[15, 82, 21] Operation: 42-21=21
Exploring Operation: 42/21=2, Resulting Numbers: [15, 82, 2]
Generated Node #0,3: 88:[15, 82, 2] Operation: 42/21=2
Exploring Operation: 21-15=6, Resulting Numbers: [42, 82, 6]
Generated Node #0,4: 88:[42, 82, 6] Operation: 21-15=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[15, 21, 40], Operations: ['82-42=40']
Exploring Operation: 21-15=6, Resulting Numbers: [40, 6]
Generated Node #0,0,0: 88:[40, 6] Operation: 21-15=6
Exploring Operation: 40-21=19, Resulting Numbers: [15, 19]
Generated Node #0,0,1: 88:[15, 19] Operation: 40-21=19
Exploring Operation: 40-15=25, Resulting Numbers: [21, 25]
Generated Node #0,0,2: 88:[21, 25] Operation: 40-15=25
Exploring Operation: 15+21=36, Resulting Numbers: [40, 36]
Generated Node #0,0,3: 88:[40, 36] Operation: 15+21=36
Exploring Operation: 15+40=55, Resulting Numbers: [21, 55]
Generated Node #0,0,4: 88:[21, 55] Operation: 15+40=55
Moving to Node #0,0,2
Current State: 88:[21, 25], Operations: ['82-42=40', '40-15=25']
Exploring Operation: 25-21=4, Resulting Numbers: [4]
4,88 unequal: No Solution
Exploring Operation: 21+25=46, Resulting Numbers: [46]
46,88 unequal: No Solution
Exploring Operation: 21*25=525, Resulting Numbers: [525]
525,88 unequal: No Solution
Moving to Node #0,0,0
Current State: 88:[40, 6], Operations: ['82-42=40', '21-15=6']
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,88 unequal: No Solution
Exploring Operation: 40*6=240, Resulting Numbers: [240]
240,88 unequal: No Solution
Exploring Operation: 40+6=46, Resulting Numbers: [46]
46,88 unequal: No Solution
Moving to Node #0,0,1
Current State: 88:[15, 19], Operations: ['82-42=40', '40-21=19']
Exploring Operation: 15+19=34, Resulting Numbers: [34]
34,88 unequal: No Solution
Exploring Operation: 19-15=4, Resulting Numbers: [4]
4,88 unequal: No Solution
Exploring Operation: 15*19=285, Resulting Numbers: [285]
285,88 unequal: No Solution
Moving to Node #0,0,3
Current State: 88:[40, 36], Operations: ['82-42=40', '15+21=36']
Exploring Operation: 40+36=76, Resulting Numbers: [76]
76,88 unequal: No Solution
Exploring Operation: 40-36=4, Resulting Numbers: [4]
4,88 unequal: No Solution
Exploring Operation: 40*36=1440, Resulting Numbers: [1440]
1440,88 unequal: No Solution
Moving to Node #0,0,4
Current State: 88:[21, 55], Operations: ['82-42=40', '15+40=55']
Exploring Operation: 21*55=1155, Resulting Numbers: [1155]
1155,88 unequal: No Solution
Exploring Operation: 21+55=76, Resulting Numbers: [76]
76,88 unequal: No Solution
Exploring Operation: 55-21=34, Resulting Numbers: [34]
34,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 88:[15, 82, 2], Operations: ['42/21=2']
Exploring Operation: 15+82=97, Resulting Numbers: [2, 97]
Generated Node #0,3,0: 88:[2, 97] Operation: 15+82=97
Exploring Operation: 82+2=84, Resulting Numbers: [15, 84]
Generated Node #0,3,1: 88:[15, 84] Operation: 82+2=84
Exploring Operation: 82/2=41, Resulting Numbers: [15, 41]
Generated Node #0,3,2: 88:[15, 41] Operation: 82/2=41
Exploring Operation: 15-2=13, Resulting Numbers: [82, 13]
Generated Node #0,3,3: 88:[82, 13] Operation: 15-2=13
Exploring Operation: 15+2=17, Resulting Numbers: [82, 17]
Generated Node #0,3,4: 88:[82, 17] Operation: 15+2=17
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 88:[15, 41], Operations: ['42/21=2', '82/2=41']
Exploring Operation: 41-15=26, Resulting Numbers: [26]
26,88 unequal: No Solution
Exploring Operation: 15*41=615, Resulting Numbers: [615]
615,88 unequal: No Solution
Exploring Operation: 15+41=56, Resulting Numbers: [56]
56,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 88:[15, 84], Operations: ['42/21=2', '82+2=84']
Exploring Operation: 15+84=99, Resulting Numbers: [99]
99,88 unequal: No Solution
Exploring Operation: 15*84=1260, Resulting Numbers: [1260]
1260,88 unequal: No Solution
Exploring Operation: 84-15=69, Resulting Numbers: [69]
69,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 88:[82, 13], Operations: ['42/21=2', '15-2=13']
Exploring Operation: 82*13=1066, Resulting Numbers: [1066]
1066,88 unequal: No Solution
Exploring Operation: 82+13=95, Resulting Numbers: [95]
95,88 unequal: No Solution
Exploring Operation: 82-13=69, Resulting Numbers: [69]
69,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 88:[2, 97], Operations: ['42/21=2', '15+82=97']
Exploring Operation: 2+97=99, Resulting Numbers: [99]
99,88 unequal: No Solution
Exploring Operation: 2*97=194, Resulting Numbers: [194]
194,88 unequal: No Solution
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 88:[82, 17], Operations: ['42/21=2', '15+2=17']
Exploring Operation: 82+17=99, Resulting Numbers: [99]
99,88 unequal: No Solution
Exploring Operation: 82*17=1394, Resulting Numbers: [1394]
1394,88 unequal: No Solution
Exploring Operation: 82-17=65, Resulting Numbers: [65]
65,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 88:[42, 82, 6], Operations: ['21-15=6']
Exploring Operation: 82+6=88, Resulting Numbers: [42, 88]
Generated Node #0,4,0: 88:[42, 88] Operation: 82+6=88
Exploring Operation: 82-42=40, Resulting Numbers: [6, 40]
Generated Node #0,4,1: 88:[6, 40] Operation: 82-42=40
Exploring Operation: 42/6=7, Resulting Numbers: [82, 7]
Generated Node #0,4,2: 88:[82, 7] Operation: 42/6=7
Exploring Operation: 42+6=48, Resulting Numbers: [82, 48]
Generated Node #0,4,3: 88:[82, 48] Operation: 42+6=48
Exploring Operation: 42-6=36, Resulting Numbers: [82, 36]
Generated Node #0,4,4: 88:[82, 36] Operation: 42-6=36
Moving to Node #0,4,0
Current State: 88:[42, 88], Operations: ['21-15=6', '82+6=88']
Exploring Operation: 42+88=130, Resulting Numbers: [130]
130,88 unequal: No Solution
Exploring Operation: 88-42=46, Resulting Numbers: [46]
46,88 unequal: No Solution
Exploring Operation: 42*88=3696, Resulting Numbers: [3696]
3696,88 unequal: No Solution
Moving to Node #0,4,1
Current State: 88:[6, 40], Operations: ['21-15=6', '82-42=40']
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,88 unequal: No Solution
Exploring Operation: 6*40=240, Resulting Numbers: [240]
240,88 unequal: No Solution
Exploring Operation: 6+40=46, Resulting Numbers: [46]
46,88 unequal: No Solution
Moving to Node #0,4,2
Current State: 88:[82, 7], Operations: ['21-15=6', '42/6=7']
Exploring Operation: 82-7=75, Resulting Numbers: [75]
75,88 unequal: No Solution
Exploring Operation: 82*7=574, Resulting Numbers: [574]
574,88 unequal: No Solution
Exploring Operation: 82+7=89, Resulting Numbers: [89]
89,88 unequal: No Solution
Moving to Node #0,4,3
Current State: 88:[82, 48], Operations: ['21-15=6', '42+6=48']
Exploring Operation: 82+48=130, Resulting Numbers: [130]
130,88 unequal: No Solution
Exploring Operation: 82*48=3936, Resulting Numbers: [3936]
3936,88 unequal: No Solution
Exploring Operation: 82-48=34, Resulting Numbers: [34]
34,88 unequal: No Solution
Moving to Node #0,4,4
Current State: 88:[82, 36], Operations: ['21-15=6', '42-6=36']
Exploring Operation: 82-36=46, Resulting Numbers: [46]
46,88 unequal: No Solution
Exploring Operation: 82+36=118, Resulting Numbers: [118]
118,88 unequal: No Solution
Exploring Operation: 82*36=2952, Resulting Numbers: [2952]
2952,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 88:[15, 82, 21], Operations: ['42-21=21']
Exploring Operation: 82-21=61, Resulting Numbers: [15, 61]
Generated Node #0,2,0: 88:[15, 61] Operation: 82-21=61
Exploring Operation: 15+21=36, Resulting Numbers: [82, 36]
Generated Node #0,2,1: 88:[82, 36] Operation: 15+21=36
Exploring Operation: 21-15=6, Resulting Numbers: [82, 6]
Generated Node #0,2,2: 88:[82, 6] Operation: 21-15=6
Exploring Operation: 82+21=103, Resulting Numbers: [15, 103]
Generated Node #0,2,3: 88:[15, 103] Operation: 82+21=103
Exploring Operation: 15+82=97, Resulting Numbers: [21, 97]
Generated Node #0,2,4: 88:[21, 97] Operation: 15+82=97
Moving to Node #0,2,2
Current State: 88:[82, 6], Operations: ['42-21=21', '21-15=6']
Exploring Operation: 82+6=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[15, 42, 82, 21], Operations: []
Exploring Operation: 42-21=21, Resulting Numbers: [15, 82, 21]
Generated Node #0,2: 88:[15, 82, 21] Operation: 42-21=21
Moving to Node #0,2
Current State: 88:[15, 82, 21], Operations: ['42-21=21']
Exploring Operation: 21-15=6, Resulting Numbers: [82, 6]
Generated Node #0,2,2: 88:[82, 6] Operation: 21-15=6
Moving to Node #0,2,2
Current State: 88:[82, 6], Operations: ['42-21=21', '21-15=6']
Exploring Operation: 82+6=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.934896 | hs_5 | sum_heuristic |
[
13,
89,
94,
12
] | 91 | [
"94-89=5",
"12-5=7",
"13*7=91"
] | Current State: 91:[13, 89, 94, 12], Operations: []
Exploring Operation: 94-89=5, Resulting Numbers: [13, 12, 5]
Generated Node #2: [13, 12, 5] from Operation: 94-89=5
Current State: 91:[13, 12, 5], Operations: ['94-89=5']
Exploring Operation: 12-5=7, Resulting Numbers: [13, 7]
Generated Node #3: [13, 7] from Operation: 12-5=7
Current State: 91:[13, 7], Operations: ['94-89=5', '12-5=7']
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[13, 89, 94, 12], Operations: []
Exploring Operation: 94-89=5, Resulting Numbers: [13, 12, 5]
Generated Node #0,0: 91:[13, 12, 5] Operation: 94-89=5
Exploring Operation: 13-12=1, Resulting Numbers: [89, 94, 1]
Generated Node #0,1: 91:[89, 94, 1] Operation: 13-12=1
Moving to Node #0,0
Current State: 91:[13, 12, 5], Operations: ['94-89=5']
Exploring Operation: 12-5=7, Resulting Numbers: [13, 7]
Generated Node #0,0,0: 91:[13, 7] Operation: 12-5=7
Exploring Operation: 13-5=8, Resulting Numbers: [12, 8]
Generated Node #0,0,1: 91:[12, 8] Operation: 13-5=8
Moving to Node #0,1
Current State: 91:[89, 94, 1], Operations: ['13-12=1']
Exploring Operation: 94-1=93, Resulting Numbers: [89, 93]
Generated Node #0,1,0: 91:[89, 93] Operation: 94-1=93
Exploring Operation: 89+1=90, Resulting Numbers: [94, 90]
Generated Node #0,1,1: 91:[94, 90] Operation: 89+1=90
Moving to Node #0,0,0
Current State: 91:[13, 7], Operations: ['94-89=5', '12-5=7']
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,91 unequal: No Solution
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[13, 89, 94, 12], Operations: []
Exploring Operation: 94-89=5, Resulting Numbers: [13, 12, 5]
Generated Node #0,0: 91:[13, 12, 5] Operation: 94-89=5
Moving to Node #0,0
Current State: 91:[13, 12, 5], Operations: ['94-89=5']
Exploring Operation: 12-5=7, Resulting Numbers: [13, 7]
Generated Node #0,0,0: 91:[13, 7] Operation: 12-5=7
Moving to Node #0,0,0
Current State: 91:[13, 7], Operations: ['94-89=5', '12-5=7']
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 0.989583 | hs_2 | mult_heuristic |
[
36,
69,
82,
70
] | 72 | [
"82-70=12",
"36/12=3",
"69+3=72"
] | Current State: 72:[36, 69, 82, 70], Operations: []
Exploring Operation: 82-70=12, Resulting Numbers: [36, 69, 12]
Generated Node #2: [36, 69, 12] from Operation: 82-70=12
Current State: 72:[36, 69, 12], Operations: ['82-70=12']
Exploring Operation: 36/12=3, Resulting Numbers: [69, 3]
Generated Node #3: [69, 3] from Operation: 36/12=3
Current State: 72:[69, 3], Operations: ['82-70=12', '36/12=3']
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[36, 69, 82, 70], Operations: []
Exploring Operation: 82-70=12, Resulting Numbers: [36, 69, 12]
Generated Node #0,0: 72:[36, 69, 12] Operation: 82-70=12
Exploring Operation: 82-69=13, Resulting Numbers: [36, 70, 13]
Generated Node #0,1: 72:[36, 70, 13] Operation: 82-69=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[36, 69, 12], Operations: ['82-70=12']
Exploring Operation: 36-12=24, Resulting Numbers: [69, 24]
Generated Node #0,0,0: 72:[69, 24] Operation: 36-12=24
Exploring Operation: 69-36=33, Resulting Numbers: [12, 33]
Generated Node #0,0,1: 72:[12, 33] Operation: 69-36=33
Moving to Node #0,0,0
Current State: 72:[69, 24], Operations: ['82-70=12', '36-12=24']
Exploring Operation: 69-24=45, Resulting Numbers: [45]
45,72 unequal: No Solution
Exploring Operation: 69+24=93, Resulting Numbers: [93]
93,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[12, 33], Operations: ['82-70=12', '69-36=33']
Exploring Operation: 33-12=21, Resulting Numbers: [21]
21,72 unequal: No Solution
Exploring Operation: 12+33=45, Resulting Numbers: [45]
45,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[36, 70, 13], Operations: ['82-69=13']
Exploring Operation: 70-36=34, Resulting Numbers: [13, 34]
Generated Node #0,1,0: 72:[13, 34] Operation: 70-36=34
Exploring Operation: 36-13=23, Resulting Numbers: [70, 23]
Generated Node #0,1,1: 72:[70, 23] Operation: 36-13=23
Moving to Node #0,1,0
Current State: 72:[13, 34], Operations: ['82-69=13', '70-36=34']
Exploring Operation: 34-13=21, Resulting Numbers: [21]
21,72 unequal: No Solution
Exploring Operation: 13+34=47, Resulting Numbers: [47]
47,72 unequal: No Solution
Moving to Node #0,1,1
Current State: 72:[70, 23], Operations: ['82-69=13', '36-13=23']
Exploring Operation: 70-23=47, Resulting Numbers: [47]
47,72 unequal: No Solution
Exploring Operation: 70+23=93, Resulting Numbers: [93]
93,72 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 |
[
14,
20,
37,
92
] | 16 | [
"37-14=23",
"92/23=4",
"20-4=16"
] | Current State: 16:[14, 20, 37, 92], Operations: []
Exploring Operation: 37-14=23, Resulting Numbers: [20, 92, 23]
Generated Node #2: [20, 92, 23] from Operation: 37-14=23
Current State: 16:[20, 92, 23], Operations: ['37-14=23']
Exploring Operation: 92/23=4, Resulting Numbers: [20, 4]
Generated Node #3: [20, 4] from Operation: 92/23=4
Current State: 16:[20, 4], Operations: ['37-14=23', '92/23=4']
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[14, 20, 37, 92], Operations: []
Exploring Operation: 92-14=78, Resulting Numbers: [20, 37, 78]
Generated Node #0,0: 16:[20, 37, 78] Operation: 92-14=78
Exploring Operation: 37-14=23, Resulting Numbers: [20, 92, 23]
Generated Node #0,1: 16:[20, 92, 23] Operation: 37-14=23
Exploring Operation: 37-20=17, Resulting Numbers: [14, 92, 17]
Generated Node #0,2: 16:[14, 92, 17] Operation: 37-20=17
Exploring Operation: 92-37=55, Resulting Numbers: [14, 20, 55]
Generated Node #0,3: 16:[14, 20, 55] Operation: 92-37=55
Exploring Operation: 92-20=72, Resulting Numbers: [14, 37, 72]
Generated Node #0,4: 16:[14, 37, 72] Operation: 92-20=72
Moving to Node #0,3
Current State: 16:[14, 20, 55], Operations: ['92-37=55']
Exploring Operation: 14+20=34, Resulting Numbers: [55, 34]
Generated Node #0,3,0: 16:[55, 34] Operation: 14+20=34
Exploring Operation: 14+55=69, Resulting Numbers: [20, 69]
Generated Node #0,3,1: 16:[20, 69] Operation: 14+55=69
Exploring Operation: 55-20=35, Resulting Numbers: [14, 35]
Generated Node #0,3,2: 16:[14, 35] Operation: 55-20=35
Exploring Operation: 20-14=6, Resulting Numbers: [55, 6]
Generated Node #0,3,3: 16:[55, 6] Operation: 20-14=6
Exploring Operation: 55-14=41, Resulting Numbers: [20, 41]
Generated Node #0,3,4: 16:[20, 41] Operation: 55-14=41
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 16:[14, 35], Operations: ['92-37=55', '55-20=35']
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,16 unequal: No Solution
Exploring Operation: 14*35=490, Resulting Numbers: [490]
490,16 unequal: No Solution
Exploring Operation: 14+35=49, Resulting Numbers: [49]
49,16 unequal: No Solution
No 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: 16:[20, 41], Operations: ['92-37=55', '55-14=41']
Exploring Operation: 20+41=61, Resulting Numbers: [61]
61,16 unequal: No Solution
Exploring Operation: 41-20=21, Resulting Numbers: [21]
21,16 unequal: No Solution
Exploring Operation: 20*41=820, Resulting Numbers: [820]
820,16 unequal: No Solution
No 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: 16:[55, 6], Operations: ['92-37=55', '20-14=6']
Exploring Operation: 55*6=330, Resulting Numbers: [330]
330,16 unequal: No Solution
Exploring Operation: 55-6=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 55+6=61, Resulting Numbers: [61]
61,16 unequal: No Solution
No 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: 16:[55, 34], Operations: ['92-37=55', '14+20=34']
Exploring Operation: 55-34=21, Resulting Numbers: [21]
21,16 unequal: No Solution
Exploring Operation: 55*34=1870, Resulting Numbers: [1870]
1870,16 unequal: No Solution
Exploring Operation: 55+34=89, Resulting Numbers: [89]
89,16 unequal: No Solution
No 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: 16:[20, 69], Operations: ['92-37=55', '14+55=69']
Exploring Operation: 69-20=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 20*69=1380, Resulting Numbers: [1380]
1380,16 unequal: No Solution
Exploring Operation: 20+69=89, Resulting Numbers: [89]
89,16 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: 16:[14, 37, 72], Operations: ['92-20=72']
Exploring Operation: 72-37=35, Resulting Numbers: [14, 35]
Generated Node #0,4,0: 16:[14, 35] Operation: 72-37=35
Exploring Operation: 14+37=51, Resulting Numbers: [72, 51]
Generated Node #0,4,1: 16:[72, 51] Operation: 14+37=51
Exploring Operation: 72-14=58, Resulting Numbers: [37, 58]
Generated Node #0,4,2: 16:[37, 58] Operation: 72-14=58
Exploring Operation: 37-14=23, Resulting Numbers: [72, 23]
Generated Node #0,4,3: 16:[72, 23] Operation: 37-14=23
Exploring Operation: 14+72=86, Resulting Numbers: [37, 86]
Generated Node #0,4,4: 16:[37, 86] Operation: 14+72=86
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 16:[14, 35], Operations: ['92-20=72', '72-37=35']
Exploring Operation: 14*35=490, Resulting Numbers: [490]
490,16 unequal: No Solution
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,16 unequal: No Solution
Exploring Operation: 14+35=49, Resulting Numbers: [49]
49,16 unequal: No Solution
No 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: 16:[37, 58], Operations: ['92-20=72', '72-14=58']
Exploring Operation: 37*58=2146, Resulting Numbers: [2146]
2146,16 unequal: No Solution
Exploring Operation: 37+58=95, Resulting Numbers: [95]
95,16 unequal: No Solution
Exploring Operation: 58-37=21, Resulting Numbers: [21]
21,16 unequal: No Solution
No 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: 16:[72, 23], Operations: ['92-20=72', '37-14=23']
Exploring Operation: 72-23=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 72+23=95, Resulting Numbers: [95]
95,16 unequal: No Solution
Exploring Operation: 72*23=1656, Resulting Numbers: [1656]
1656,16 unequal: No Solution
No 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: 16:[72, 51], Operations: ['92-20=72', '14+37=51']
Exploring Operation: 72+51=123, Resulting Numbers: [123]
123,16 unequal: No Solution
Exploring Operation: 72-51=21, Resulting Numbers: [21]
21,16 unequal: No Solution
Exploring Operation: 72*51=3672, Resulting Numbers: [3672]
3672,16 unequal: No Solution
No 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: 16:[37, 86], Operations: ['92-20=72', '14+72=86']
Exploring Operation: 37*86=3182, Resulting Numbers: [3182]
3182,16 unequal: No Solution
Exploring Operation: 86-37=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 37+86=123, Resulting Numbers: [123]
123,16 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: 16:[14, 92, 17], Operations: ['37-20=17']
Exploring Operation: 92-17=75, Resulting Numbers: [14, 75]
Generated Node #0,2,0: 16:[14, 75] Operation: 92-17=75
Exploring Operation: 14+17=31, Resulting Numbers: [92, 31]
Generated Node #0,2,1: 16:[92, 31] Operation: 14+17=31
Exploring Operation: 14+92=106, Resulting Numbers: [17, 106]
Generated Node #0,2,2: 16:[17, 106] Operation: 14+92=106
Exploring Operation: 17-14=3, Resulting Numbers: [92, 3]
Generated Node #0,2,3: 16:[92, 3] Operation: 17-14=3
Exploring Operation: 92-14=78, Resulting Numbers: [17, 78]
Generated Node #0,2,4: 16:[17, 78] Operation: 92-14=78
Moving to Node #0,0
Current State: 16:[20, 37, 78], Operations: ['92-14=78']
Exploring Operation: 37-20=17, Resulting Numbers: [78, 17]
Generated Node #0,0,0: 16:[78, 17] Operation: 37-20=17
Exploring Operation: 20+37=57, Resulting Numbers: [78, 57]
Generated Node #0,0,1: 16:[78, 57] Operation: 20+37=57
Exploring Operation: 78-20=58, Resulting Numbers: [37, 58]
Generated Node #0,0,2: 16:[37, 58] Operation: 78-20=58
Exploring Operation: 78-37=41, Resulting Numbers: [20, 41]
Generated Node #0,0,3: 16:[20, 41] Operation: 78-37=41
Exploring Operation: 20+78=98, Resulting Numbers: [37, 98]
Generated Node #0,0,4: 16:[37, 98] Operation: 20+78=98
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 16:[20, 41], Operations: ['92-14=78', '78-37=41']
Exploring Operation: 20+41=61, Resulting Numbers: [61]
61,16 unequal: No Solution
Exploring Operation: 41-20=21, Resulting Numbers: [21]
21,16 unequal: No Solution
Exploring Operation: 20*41=820, Resulting Numbers: [820]
820,16 unequal: No Solution
No 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: 16:[78, 17], Operations: ['92-14=78', '37-20=17']
Exploring Operation: 78*17=1326, Resulting Numbers: [1326]
1326,16 unequal: No Solution
Exploring Operation: 78-17=61, Resulting Numbers: [61]
61,16 unequal: No Solution
Exploring Operation: 78+17=95, Resulting Numbers: [95]
95,16 unequal: No Solution
No 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: 16:[37, 58], Operations: ['92-14=78', '78-20=58']
Exploring Operation: 37*58=2146, Resulting Numbers: [2146]
2146,16 unequal: No Solution
Exploring Operation: 37+58=95, Resulting Numbers: [95]
95,16 unequal: No Solution
Exploring Operation: 58-37=21, Resulting Numbers: [21]
21,16 unequal: No Solution
No 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: 16:[78, 57], Operations: ['92-14=78', '20+37=57']
Exploring Operation: 78-57=21, Resulting Numbers: [21]
21,16 unequal: No Solution
Exploring Operation: 78+57=135, Resulting Numbers: [135]
135,16 unequal: No Solution
Exploring Operation: 78*57=4446, Resulting Numbers: [4446]
4446,16 unequal: No Solution
No 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: 16:[37, 98], Operations: ['92-14=78', '20+78=98']
Exploring Operation: 37*98=3626, Resulting Numbers: [3626]
3626,16 unequal: No Solution
Exploring Operation: 98-37=61, Resulting Numbers: [61]
61,16 unequal: No Solution
Exploring Operation: 37+98=135, Resulting Numbers: [135]
135,16 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: 16:[20, 92, 23], Operations: ['37-14=23']
Exploring Operation: 20+92=112, Resulting Numbers: [23, 112]
Generated Node #0,1,0: 16:[23, 112] Operation: 20+92=112
Exploring Operation: 92/23=4, Resulting Numbers: [20, 4]
Generated Node #0,1,1: 16:[20, 4] Operation: 92/23=4
Exploring Operation: 23-20=3, Resulting Numbers: [92, 3]
Generated Node #0,1,2: 16:[92, 3] Operation: 23-20=3
Exploring Operation: 92-23=69, Resulting Numbers: [20, 69]
Generated Node #0,1,3: 16:[20, 69] Operation: 92-23=69
Exploring Operation: 92-20=72, Resulting Numbers: [23, 72]
Generated Node #0,1,4: 16:[23, 72] Operation: 92-20=72
Moving to Node #0,1,1
Current State: 16:[20, 4], Operations: ['37-14=23', '92/23=4']
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,16 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[14, 20, 37, 92], Operations: []
Exploring Operation: 37-14=23, Resulting Numbers: [20, 92, 23]
Generated Node #0,1: 16:[20, 92, 23] Operation: 37-14=23
Moving to Node #0,1
Current State: 16:[20, 92, 23], Operations: ['37-14=23']
Exploring Operation: 92/23=4, Resulting Numbers: [20, 4]
Generated Node #0,1,1: 16:[20, 4] Operation: 92/23=4
Moving to Node #0,1,1
Current State: 16:[20, 4], Operations: ['37-14=23', '92/23=4']
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 0.929688 | hs_5 | mult_heuristic |
[
19,
28,
39,
84
] | 18 | [
"19*84=1596",
"1596/28=57",
"57-39=18"
] | Current State: 18:[19, 28, 39, 84], Operations: []
Exploring Operation: 19*84=1596, Resulting Numbers: [28, 39, 1596]
Generated Node #2: [28, 39, 1596] from Operation: 19*84=1596
Current State: 18:[28, 39, 1596], Operations: ['19*84=1596']
Exploring Operation: 1596/28=57, Resulting Numbers: [39, 57]
Generated Node #3: [39, 57] from Operation: 1596/28=57
Current State: 18:[39, 57], Operations: ['19*84=1596', '1596/28=57']
Exploring Operation: 57-39=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[19, 28, 39, 84], Operations: []
Exploring Operation: 84/28=3, Resulting Numbers: [19, 39, 3]
Generated Node #0,0: 18:[19, 39, 3] Operation: 84/28=3
Moving to Node #0,0
Current State: 18:[19, 39, 3], Operations: ['84/28=3']
Exploring Operation: 39-19=20, Resulting Numbers: [3, 20]
Generated Node #0,0,0: 18:[3, 20] Operation: 39-19=20
Moving to Node #0,0,0
Current State: 18:[3, 20], Operations: ['84/28=3', '39-19=20']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,18 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
20,
60,
40,
17
] | 51 | [
"40-20=20",
"60*17=1020",
"1020/20=51"
] | Current State: 51:[20, 60, 40, 17], Operations: []
Exploring Operation: 40-20=20, Resulting Numbers: [60, 17, 20]
Generated Node #2: [60, 17, 20] from Operation: 40-20=20
Current State: 51:[60, 17, 20], Operations: ['40-20=20']
Exploring Operation: 60*17=1020, Resulting Numbers: [20, 1020]
Generated Node #3: [20, 1020] from Operation: 60*17=1020
Current State: 51:[20, 1020], Operations: ['40-20=20', '60*17=1020']
Exploring Operation: 1020/20=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[20, 60, 40, 17], Operations: []
Exploring Operation: 60-40=20, Resulting Numbers: [20, 17, 20]
Generated Node #0,0: 51:[20, 17, 20] Operation: 60-40=20
Moving to Node #0,0
Current State: 51:[20, 17, 20], Operations: ['60-40=20']
Exploring Operation: 20/20=1, Resulting Numbers: [17, 1]
Generated Node #0,0,0: 51:[17, 1] Operation: 20/20=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 51:[17, 1], Operations: ['60-40=20', '20/20=1']
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,51 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 |
[
9,
10,
94,
5
] | 100 | [
"10-9=1",
"94+5=99",
"1+99=100"
] | Current State: 100:[9, 10, 94, 5], Operations: []
Exploring Operation: 10-9=1, Resulting Numbers: [94, 5, 1]
Generated Node #2: [94, 5, 1] from Operation: 10-9=1
Current State: 100:[94, 5, 1], Operations: ['10-9=1']
Exploring Operation: 94+5=99, Resulting Numbers: [1, 99]
Generated Node #3: [1, 99] from Operation: 94+5=99
Current State: 100:[1, 99], Operations: ['10-9=1', '94+5=99']
Exploring Operation: 1+99=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[9, 10, 94, 5], Operations: []
Exploring Operation: 9+10=19, Resulting Numbers: [94, 5, 19]
Generated Node #0,0: 100:[94, 5, 19] Operation: 9+10=19
Exploring Operation: 9-5=4, Resulting Numbers: [10, 94, 4]
Generated Node #0,1: 100:[10, 94, 4] Operation: 9-5=4
Exploring Operation: 94+5=99, Resulting Numbers: [9, 10, 99]
Generated Node #0,2: 100:[9, 10, 99] Operation: 94+5=99
Exploring Operation: 10+94=104, Resulting Numbers: [9, 5, 104]
Generated Node #0,3: 100:[9, 5, 104] Operation: 10+94=104
Exploring Operation: 9+94=103, Resulting Numbers: [10, 5, 103]
Generated Node #0,4: 100:[10, 5, 103] Operation: 9+94=103
Moving to Node #0,2
Current State: 100:[9, 10, 99], Operations: ['94+5=99']
Exploring Operation: 99-9=90, Resulting Numbers: [10, 90]
Generated Node #0,2,0: 100:[10, 90] Operation: 99-9=90
Exploring Operation: 9+99=108, Resulting Numbers: [10, 108]
Generated Node #0,2,1: 100:[10, 108] Operation: 9+99=108
Exploring Operation: 10-9=1, Resulting Numbers: [99, 1]
Generated Node #0,2,2: 100:[99, 1] Operation: 10-9=1
Exploring Operation: 9+10=19, Resulting Numbers: [99, 19]
Generated Node #0,2,3: 100:[99, 19] Operation: 9+10=19
Exploring Operation: 99/9=11, Resulting Numbers: [10, 11]
Generated Node #0,2,4: 100:[10, 11] Operation: 99/9=11
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 100:[10, 11], Operations: ['94+5=99', '99/9=11']
Exploring Operation: 10*11=110, Resulting Numbers: [110]
110,100 unequal: No Solution
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,100 unequal: No Solution
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 100:[99, 1], Operations: ['94+5=99', '10-9=1']
Exploring Operation: 99+1=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[9, 10, 94, 5], Operations: []
Exploring Operation: 94+5=99, Resulting Numbers: [9, 10, 99]
Generated Node #0,2: 100:[9, 10, 99] Operation: 94+5=99
Moving to Node #0,2
Current State: 100:[9, 10, 99], Operations: ['94+5=99']
Exploring Operation: 10-9=1, Resulting Numbers: [99, 1]
Generated Node #0,2,2: 100:[99, 1] Operation: 10-9=1
Moving to Node #0,2,2
Current State: 100:[99, 1], Operations: ['94+5=99', '10-9=1']
Exploring Operation: 99+1=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | mult_heuristic |
[
15,
22,
39,
3
] | 43 | [
"22-15=7",
"39-3=36",
"7+36=43"
] | Current State: 43:[15, 22, 39, 3], Operations: []
Exploring Operation: 22-15=7, Resulting Numbers: [39, 3, 7]
Generated Node #2: [39, 3, 7] from Operation: 22-15=7
Current State: 43:[39, 3, 7], Operations: ['22-15=7']
Exploring Operation: 39-3=36, Resulting Numbers: [7, 36]
Generated Node #3: [7, 36] from Operation: 39-3=36
Current State: 43:[7, 36], Operations: ['22-15=7', '39-3=36']
Exploring Operation: 7+36=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[15, 22, 39, 3], Operations: []
Exploring Operation: 15+22=37, Resulting Numbers: [39, 3, 37]
Generated Node #0,0: 43:[39, 3, 37] Operation: 15+22=37
Exploring Operation: 15*3=45, Resulting Numbers: [22, 39, 45]
Generated Node #0,1: 43:[22, 39, 45] Operation: 15*3=45
Moving to Node #0,1
Current State: 43:[22, 39, 45], Operations: ['15*3=45']
Exploring Operation: 45-22=23, Resulting Numbers: [39, 23]
Generated Node #0,1,0: 43:[39, 23] Operation: 45-22=23
Exploring Operation: 22+39=61, Resulting Numbers: [45, 61]
Generated Node #0,1,1: 43:[45, 61] Operation: 22+39=61
Moving to Node #0,0
Current State: 43:[39, 3, 37], Operations: ['15+22=37']
Exploring Operation: 3+37=40, Resulting Numbers: [39, 40]
Generated Node #0,0,0: 43:[39, 40] Operation: 3+37=40
Exploring Operation: 39+3=42, Resulting Numbers: [37, 42]
Generated Node #0,0,1: 43:[37, 42] Operation: 39+3=42
Moving to Node #0,0,0
Current State: 43:[39, 40], Operations: ['15+22=37', '3+37=40']
Exploring Operation: 39+40=79, Resulting Numbers: [79]
79,43 unequal: No Solution
Exploring Operation: 40-39=1, Resulting Numbers: [1]
1,43 unequal: No Solution
Moving to Node #0,0,1
Current State: 43:[37, 42], Operations: ['15+22=37', '39+3=42']
Exploring Operation: 42-37=5, Resulting Numbers: [5]
5,43 unequal: No Solution
Exploring Operation: 37+42=79, Resulting Numbers: [79]
79,43 unequal: No Solution
Moving to Node #0,1,1
Current State: 43:[45, 61], Operations: ['15*3=45', '22+39=61']
Exploring Operation: 61-45=16, Resulting Numbers: [16]
16,43 unequal: No Solution
Exploring Operation: 45+61=106, Resulting Numbers: [106]
106,43 unequal: No Solution
Moving to Node #0,1,0
Current State: 43:[39, 23], Operations: ['15*3=45', '45-22=23']
Exploring Operation: 39+23=62, Resulting Numbers: [62]
62,43 unequal: No Solution
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,43 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
11,
19,
6,
29
] | 31 | [
"19-11=8",
"29-6=23",
"8+23=31"
] | Current State: 31:[11, 19, 6, 29], Operations: []
Exploring Operation: 19-11=8, Resulting Numbers: [6, 29, 8]
Generated Node #2: [6, 29, 8] from Operation: 19-11=8
Current State: 31:[6, 29, 8], Operations: ['19-11=8']
Exploring Operation: 29-6=23, Resulting Numbers: [8, 23]
Generated Node #3: [8, 23] from Operation: 29-6=23
Current State: 31:[8, 23], Operations: ['19-11=8', '29-6=23']
Exploring Operation: 8+23=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[11, 19, 6, 29], Operations: []
Exploring Operation: 19+6=25, Resulting Numbers: [11, 29, 25]
Generated Node #0,0: 31:[11, 29, 25] Operation: 19+6=25
Exploring Operation: 11+19=30, Resulting Numbers: [6, 29, 30]
Generated Node #0,1: 31:[6, 29, 30] Operation: 11+19=30
Exploring Operation: 6+29=35, Resulting Numbers: [11, 19, 35]
Generated Node #0,2: 31:[11, 19, 35] Operation: 6+29=35
Exploring Operation: 11+6=17, Resulting Numbers: [19, 29, 17]
Generated Node #0,3: 31:[19, 29, 17] Operation: 11+6=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[11, 29, 25], Operations: ['19+6=25']
Exploring Operation: 29-11=18, Resulting Numbers: [25, 18]
Generated Node #0,0,0: 31:[25, 18] Operation: 29-11=18
Exploring Operation: 25-11=14, Resulting Numbers: [29, 14]
Generated Node #0,0,1: 31:[29, 14] Operation: 25-11=14
Exploring Operation: 11+25=36, Resulting Numbers: [29, 36]
Generated Node #0,0,2: 31:[29, 36] Operation: 11+25=36
Exploring Operation: 11+29=40, Resulting Numbers: [25, 40]
Generated Node #0,0,3: 31:[25, 40] Operation: 11+29=40
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 31:[29, 36], Operations: ['19+6=25', '11+25=36']
Exploring Operation: 29+36=65, Resulting Numbers: [65]
65,31 unequal: No Solution
Exploring Operation: 29*36=1044, Resulting Numbers: [1044]
1044,31 unequal: No Solution
Exploring Operation: 36-29=7, Resulting Numbers: [7]
7,31 unequal: No Solution
No 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: 31:[25, 40], Operations: ['19+6=25', '11+29=40']
Exploring Operation: 40-25=15, Resulting Numbers: [15]
15,31 unequal: No Solution
Exploring Operation: 25+40=65, Resulting Numbers: [65]
65,31 unequal: No Solution
Exploring Operation: 25*40=1000, Resulting Numbers: [1000]
1000,31 unequal: No Solution
No 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: 31:[25, 18], Operations: ['19+6=25', '29-11=18']
Exploring Operation: 25-18=7, Resulting Numbers: [7]
7,31 unequal: No Solution
Exploring Operation: 25*18=450, Resulting Numbers: [450]
450,31 unequal: No Solution
Exploring Operation: 25+18=43, Resulting Numbers: [43]
43,31 unequal: No Solution
No 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: 31:[29, 14], Operations: ['19+6=25', '25-11=14']
Exploring Operation: 29+14=43, Resulting Numbers: [43]
43,31 unequal: No Solution
Exploring Operation: 29*14=406, Resulting Numbers: [406]
406,31 unequal: No Solution
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,31 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: 31:[6, 29, 30], Operations: ['11+19=30']
Exploring Operation: 6+29=35, Resulting Numbers: [30, 35]
Generated Node #0,1,0: 31:[30, 35] Operation: 6+29=35
Exploring Operation: 6+30=36, Resulting Numbers: [29, 36]
Generated Node #0,1,1: 31:[29, 36] Operation: 6+30=36
Exploring Operation: 30-6=24, Resulting Numbers: [29, 24]
Generated Node #0,1,2: 31:[29, 24] Operation: 30-6=24
Exploring Operation: 29-6=23, Resulting Numbers: [30, 23]
Generated Node #0,1,3: 31:[30, 23] Operation: 29-6=23
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 31:[30, 35], Operations: ['11+19=30', '6+29=35']
Exploring Operation: 30+35=65, Resulting Numbers: [65]
65,31 unequal: No Solution
Exploring Operation: 30*35=1050, Resulting Numbers: [1050]
1050,31 unequal: No Solution
Exploring Operation: 35-30=5, Resulting Numbers: [5]
5,31 unequal: No Solution
No 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: 31:[29, 36], Operations: ['11+19=30', '6+30=36']
Exploring Operation: 29+36=65, Resulting Numbers: [65]
65,31 unequal: No Solution
Exploring Operation: 36-29=7, Resulting Numbers: [7]
7,31 unequal: No Solution
Exploring Operation: 29*36=1044, Resulting Numbers: [1044]
1044,31 unequal: No Solution
No 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: 31:[29, 24], Operations: ['11+19=30', '30-6=24']
Exploring Operation: 29+24=53, Resulting Numbers: [53]
53,31 unequal: No Solution
Exploring Operation: 29*24=696, Resulting Numbers: [696]
696,31 unequal: No Solution
Exploring Operation: 29-24=5, Resulting Numbers: [5]
5,31 unequal: No Solution
No 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: 31:[30, 23], Operations: ['11+19=30', '29-6=23']
Exploring Operation: 30+23=53, Resulting Numbers: [53]
53,31 unequal: No Solution
Exploring Operation: 30-23=7, Resulting Numbers: [7]
7,31 unequal: No Solution
Exploring Operation: 30*23=690, Resulting Numbers: [690]
690,31 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: 31:[19, 29, 17], Operations: ['11+6=17']
Exploring Operation: 19+29=48, Resulting Numbers: [17, 48]
Generated Node #0,3,0: 31:[17, 48] Operation: 19+29=48
Exploring Operation: 29+17=46, Resulting Numbers: [19, 46]
Generated Node #0,3,1: 31:[19, 46] Operation: 29+17=46
Exploring Operation: 19+17=36, Resulting Numbers: [29, 36]
Generated Node #0,3,2: 31:[29, 36] Operation: 19+17=36
Exploring Operation: 19-17=2, Resulting Numbers: [29, 2]
Generated Node #0,3,3: 31:[29, 2] Operation: 19-17=2
Moving to Node #0,3,2
Current State: 31:[29, 36], Operations: ['11+6=17', '19+17=36']
Exploring Operation: 36-29=7, Resulting Numbers: [7]
7,31 unequal: No Solution
Exploring Operation: 29*36=1044, Resulting Numbers: [1044]
1044,31 unequal: No Solution
Exploring Operation: 29+36=65, Resulting Numbers: [65]
65,31 unequal: No Solution
Moving to Node #0,3,1
Current State: 31:[19, 46], Operations: ['11+6=17', '29+17=46']
Exploring Operation: 46-19=27, Resulting Numbers: [27]
27,31 unequal: No Solution
Exploring Operation: 19*46=874, Resulting Numbers: [874]
874,31 unequal: No Solution
Exploring Operation: 19+46=65, Resulting Numbers: [65]
65,31 unequal: No Solution
Moving to Node #0,3,3
Current State: 31:[29, 2], Operations: ['11+6=17', '19-17=2']
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[11, 19, 6, 29], Operations: []
Exploring Operation: 11+6=17, Resulting Numbers: [19, 29, 17]
Generated Node #0,3: 31:[19, 29, 17] Operation: 11+6=17
Moving to Node #0,3
Current State: 31:[19, 29, 17], Operations: ['11+6=17']
Exploring Operation: 19-17=2, Resulting Numbers: [29, 2]
Generated Node #0,3,3: 31:[29, 2] Operation: 19-17=2
Moving to Node #0,3,3
Current State: 31:[29, 2], Operations: ['11+6=17', '19-17=2']
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.955729 | hs_4 | mult_heuristic |
[
2,
31,
57,
13
] | 41 | [
"31-2=29",
"57+13=70",
"70-29=41"
] | Current State: 41:[2, 31, 57, 13], Operations: []
Exploring Operation: 31-2=29, Resulting Numbers: [57, 13, 29]
Generated Node #2: [57, 13, 29] from Operation: 31-2=29
Current State: 41:[57, 13, 29], Operations: ['31-2=29']
Exploring Operation: 57+13=70, Resulting Numbers: [29, 70]
Generated Node #3: [29, 70] from Operation: 57+13=70
Current State: 41:[29, 70], Operations: ['31-2=29', '57+13=70']
Exploring Operation: 70-29=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[2, 31, 57, 13], Operations: []
Exploring Operation: 2*13=26, Resulting Numbers: [31, 57, 26]
Generated Node #0,0: 41:[31, 57, 26] Operation: 2*13=26
Moving to Node #0,0
Current State: 41:[31, 57, 26], Operations: ['2*13=26']
Exploring Operation: 57-26=31, Resulting Numbers: [31, 31]
Generated Node #0,0,0: 41:[31, 31] Operation: 57-26=31
Moving to Node #0,0,0
Current State: 41:[31, 31], Operations: ['2*13=26', '57-26=31']
Exploring Operation: 31+31=62, Resulting Numbers: [62]
62,41 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
1,
44,
26,
67
] | 49 | [
"1*44=44",
"26+67=93",
"93-44=49"
] | Current State: 49:[1, 44, 26, 67], Operations: []
Exploring Operation: 1*44=44, Resulting Numbers: [26, 67, 44]
Generated Node #2: [26, 67, 44] from Operation: 1*44=44
Current State: 49:[26, 67, 44], Operations: ['1*44=44']
Exploring Operation: 26+67=93, Resulting Numbers: [44, 93]
Generated Node #3: [44, 93] from Operation: 26+67=93
Current State: 49:[44, 93], Operations: ['1*44=44', '26+67=93']
Exploring Operation: 93-44=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[1, 44, 26, 67], Operations: []
Exploring Operation: 67-26=41, Resulting Numbers: [1, 44, 41]
Generated Node #0,0: 49:[1, 44, 41] Operation: 67-26=41
Exploring Operation: 67-1=66, Resulting Numbers: [44, 26, 66]
Generated Node #0,1: 49:[44, 26, 66] Operation: 67-1=66
Exploring Operation: 26-1=25, Resulting Numbers: [44, 67, 25]
Generated Node #0,2: 49:[44, 67, 25] Operation: 26-1=25
Exploring Operation: 1+44=45, Resulting Numbers: [26, 67, 45]
Generated Node #0,3: 49:[26, 67, 45] Operation: 1+44=45
Exploring Operation: 44-26=18, Resulting Numbers: [1, 67, 18]
Generated Node #0,4: 49:[1, 67, 18] Operation: 44-26=18
Moving to Node #0,0
Current State: 49:[1, 44, 41], Operations: ['67-26=41']
Exploring Operation: 1+41=42, Resulting Numbers: [44, 42]
Generated Node #0,0,0: 49:[44, 42] Operation: 1+41=42
Exploring Operation: 44/1=44, Resulting Numbers: [41, 44]
Generated Node #0,0,1: 49:[41, 44] Operation: 44/1=44
Exploring Operation: 1*44=44, Resulting Numbers: [41, 44]
Generated Node #0,0,2: 49:[41, 44] Operation: 1*44=44
Exploring Operation: 44-41=3, Resulting Numbers: [1, 3]
Generated Node #0,0,3: 49:[1, 3] Operation: 44-41=3
Exploring Operation: 1+44=45, Resulting Numbers: [41, 45]
Generated Node #0,0,4: 49:[41, 45] Operation: 1+44=45
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 49:[1, 3], Operations: ['67-26=41', '44-41=3']
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,49 unequal: No Solution
Exploring Operation: 1+3=4, Resulting Numbers: [4]
4,49 unequal: No Solution
Exploring Operation: 1*3=3, Resulting Numbers: [3]
3,49 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:[44, 42], Operations: ['67-26=41', '1+41=42']
Exploring Operation: 44+42=86, Resulting Numbers: [86]
86,49 unequal: No Solution
Exploring Operation: 44-42=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 44*42=1848, Resulting Numbers: [1848]
1848,49 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 #0,0,4
Current State: 49:[41, 45], Operations: ['67-26=41', '1+44=45']
Exploring Operation: 45-41=4, Resulting Numbers: [4]
4,49 unequal: No Solution
Exploring Operation: 41*45=1845, Resulting Numbers: [1845]
1845,49 unequal: No Solution
Exploring Operation: 41+45=86, Resulting Numbers: [86]
86,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 49:[41, 44], Operations: ['67-26=41', '44/1=44']
Exploring Operation: 41+44=85, Resulting Numbers: [85]
85,49 unequal: No Solution
Exploring Operation: 44-41=3, Resulting Numbers: [3]
3,49 unequal: No Solution
Exploring Operation: 41*44=1804, Resulting Numbers: [1804]
1804,49 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 #0,0,2
Current State: 49:[41, 44], Operations: ['67-26=41', '1*44=44']
Exploring Operation: 41*44=1804, Resulting Numbers: [1804]
1804,49 unequal: No Solution
Exploring Operation: 41+44=85, Resulting Numbers: [85]
85,49 unequal: No Solution
Exploring Operation: 44-41=3, Resulting Numbers: [3]
3,49 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: 49:[1, 67, 18], Operations: ['44-26=18']
Exploring Operation: 1*67=67, Resulting Numbers: [18, 67]
Generated Node #0,4,0: 49:[18, 67] Operation: 1*67=67
Exploring Operation: 67-18=49, Resulting Numbers: [1, 49]
Generated Node #0,4,1: 49:[1, 49] Operation: 67-18=49
Exploring Operation: 67/1=67, Resulting Numbers: [18, 67]
Generated Node #0,4,2: 49:[18, 67] Operation: 67/1=67
Exploring Operation: 18-1=17, Resulting Numbers: [67, 17]
Generated Node #0,4,3: 49:[67, 17] Operation: 18-1=17
Exploring Operation: 67-1=66, Resulting Numbers: [18, 66]
Generated Node #0,4,4: 49:[18, 66] Operation: 67-1=66
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 49:[1, 49], Operations: ['44-26=18', '67-18=49']
Exploring Operation: 1*49=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[1, 44, 26, 67], Operations: []
Exploring Operation: 44-26=18, Resulting Numbers: [1, 67, 18]
Generated Node #0,4: 49:[1, 67, 18] Operation: 44-26=18
Moving to Node #0,4
Current State: 49:[1, 67, 18], Operations: ['44-26=18']
Exploring Operation: 67-18=49, Resulting Numbers: [1, 49]
Generated Node #0,4,1: 49:[1, 49] Operation: 67-18=49
Moving to Node #0,4,1
Current State: 49:[1, 49], Operations: ['44-26=18', '67-18=49']
Exploring Operation: 1*49=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_5 | sum_heuristic |
[
34,
31,
31,
27
] | 34 | [
"31-31=0",
"27*0=0",
"34+0=34"
] | Current State: 34:[34, 31, 31, 27], Operations: []
Exploring Operation: 31-31=0, Resulting Numbers: [34, 27, 0]
Generated Node #2: [34, 27, 0] from Operation: 31-31=0
Current State: 34:[34, 27, 0], Operations: ['31-31=0']
Exploring Operation: 27*0=0, Resulting Numbers: [34, 0]
Generated Node #3: [34, 0] from Operation: 27*0=0
Current State: 34:[34, 0], Operations: ['31-31=0', '27*0=0']
Exploring Operation: 34+0=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[34, 31, 31, 27], Operations: []
Exploring Operation: 31-27=4, Resulting Numbers: [34, 31, 4]
Generated Node #0,0: 34:[34, 31, 4] Operation: 31-27=4
Exploring Operation: 31/31=1, Resulting Numbers: [34, 27, 1]
Generated Node #0,1: 34:[34, 27, 1] Operation: 31/31=1
Exploring Operation: 34-31=3, Resulting Numbers: [31, 27, 3]
Generated Node #0,2: 34:[31, 27, 3] Operation: 34-31=3
Exploring Operation: 31-31=0, Resulting Numbers: [34, 27, 0]
Generated Node #0,3: 34:[34, 27, 0] Operation: 31-31=0
Exploring Operation: 31-27=4, Resulting Numbers: [34, 31, 4]
Generated Node #0,4: 34:[34, 31, 4] Operation: 31-27=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 34:[34, 31, 4], Operations: ['31-27=4']
Exploring Operation: 31-4=27, Resulting Numbers: [34, 27]
Generated Node #0,0,0: 34:[34, 27] Operation: 31-4=27
Exploring Operation: 34-31=3, Resulting Numbers: [4, 3]
Generated Node #0,0,1: 34:[4, 3] Operation: 34-31=3
Exploring Operation: 31+4=35, Resulting Numbers: [34, 35]
Generated Node #0,0,2: 34:[34, 35] Operation: 31+4=35
Exploring Operation: 34-4=30, Resulting Numbers: [31, 30]
Generated Node #0,0,3: 34:[31, 30] Operation: 34-4=30
Exploring Operation: 34+4=38, Resulting Numbers: [31, 38]
Generated Node #0,0,4: 34:[31, 38] Operation: 34+4=38
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 34:[34, 35], Operations: ['31-27=4', '31+4=35']
Exploring Operation: 34*35=1190, Resulting Numbers: [1190]
1190,34 unequal: No Solution
Exploring Operation: 35-34=1, Resulting Numbers: [1]
1,34 unequal: No Solution
Exploring Operation: 34+35=69, Resulting Numbers: [69]
69,34 unequal: No Solution
No 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: 34:[4, 3], Operations: ['31-27=4', '34-31=3']
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,34 unequal: No Solution
No 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: 34:[34, 27], Operations: ['31-27=4', '31-4=27']
Exploring Operation: 34*27=918, Resulting Numbers: [918]
918,34 unequal: No Solution
Exploring Operation: 34+27=61, Resulting Numbers: [61]
61,34 unequal: No Solution
Exploring Operation: 34-27=7, Resulting Numbers: [7]
7,34 unequal: No Solution
No 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: 34:[31, 30], Operations: ['31-27=4', '34-4=30']
Exploring Operation: 31+30=61, Resulting Numbers: [61]
61,34 unequal: No Solution
Exploring Operation: 31*30=930, Resulting Numbers: [930]
930,34 unequal: No Solution
Exploring Operation: 31-30=1, Resulting Numbers: [1]
1,34 unequal: No Solution
No 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: 34:[31, 38], Operations: ['31-27=4', '34+4=38']
Exploring Operation: 31*38=1178, Resulting Numbers: [1178]
1178,34 unequal: No Solution
Exploring Operation: 31+38=69, Resulting Numbers: [69]
69,34 unequal: No Solution
Exploring Operation: 38-31=7, Resulting Numbers: [7]
7,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 34:[34, 31, 4], Operations: ['31-27=4']
Exploring Operation: 31-4=27, Resulting Numbers: [34, 27]
Generated Node #0,4,0: 34:[34, 27] Operation: 31-4=27
Exploring Operation: 31+4=35, Resulting Numbers: [34, 35]
Generated Node #0,4,1: 34:[34, 35] Operation: 31+4=35
Exploring Operation: 34-4=30, Resulting Numbers: [31, 30]
Generated Node #0,4,2: 34:[31, 30] Operation: 34-4=30
Exploring Operation: 34+4=38, Resulting Numbers: [31, 38]
Generated Node #0,4,3: 34:[31, 38] Operation: 34+4=38
Exploring Operation: 34-31=3, Resulting Numbers: [4, 3]
Generated Node #0,4,4: 34:[4, 3] Operation: 34-31=3
Moving to Node #0,4,1
Current State: 34:[34, 35], Operations: ['31-27=4', '31+4=35']
Exploring Operation: 35-34=1, Resulting Numbers: [1]
1,34 unequal: No Solution
Exploring Operation: 34*35=1190, Resulting Numbers: [1190]
1190,34 unequal: No Solution
Exploring Operation: 34+35=69, Resulting Numbers: [69]
69,34 unequal: No Solution
Moving to Node #0,4,4
Current State: 34:[4, 3], Operations: ['31-27=4', '34-31=3']
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,34 unequal: No Solution
Moving to Node #0,4,0
Current State: 34:[34, 27], Operations: ['31-27=4', '31-4=27']
Exploring Operation: 34-27=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 34+27=61, Resulting Numbers: [61]
61,34 unequal: No Solution
Exploring Operation: 34*27=918, Resulting Numbers: [918]
918,34 unequal: No Solution
Moving to Node #0,4,2
Current State: 34:[31, 30], Operations: ['31-27=4', '34-4=30']
Exploring Operation: 31+30=61, Resulting Numbers: [61]
61,34 unequal: No Solution
Exploring Operation: 31*30=930, Resulting Numbers: [930]
930,34 unequal: No Solution
Exploring Operation: 31-30=1, Resulting Numbers: [1]
1,34 unequal: No Solution
Moving to Node #0,4,3
Current State: 34:[31, 38], Operations: ['31-27=4', '34+4=38']
Exploring Operation: 31*38=1178, Resulting Numbers: [1178]
1178,34 unequal: No Solution
Exploring Operation: 38-31=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 31+38=69, Resulting Numbers: [69]
69,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 34:[34, 27, 1], Operations: ['31/31=1']
Exploring Operation: 27*1=27, Resulting Numbers: [34, 27]
Generated Node #0,1,0: 34:[34, 27] Operation: 27*1=27
Exploring Operation: 34/1=34, Resulting Numbers: [27, 34]
Generated Node #0,1,1: 34:[27, 34] Operation: 34/1=34
Exploring Operation: 34*1=34, Resulting Numbers: [27, 34]
Generated Node #0,1,2: 34:[27, 34] Operation: 34*1=34
Exploring Operation: 27+1=28, Resulting Numbers: [34, 28]
Generated Node #0,1,3: 34:[34, 28] Operation: 27+1=28
Exploring Operation: 34-27=7, Resulting Numbers: [1, 7]
Generated Node #0,1,4: 34:[1, 7] Operation: 34-27=7
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 34:[34, 28], Operations: ['31/31=1', '27+1=28']
Exploring Operation: 34*28=952, Resulting Numbers: [952]
952,34 unequal: No Solution
Exploring Operation: 34-28=6, Resulting Numbers: [6]
6,34 unequal: No Solution
Exploring Operation: 34+28=62, Resulting Numbers: [62]
62,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 34:[1, 7], Operations: ['31/31=1', '34-27=7']
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,34 unequal: No Solution
Exploring Operation: 7/1=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 1*7=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 1+7=8, Resulting Numbers: [8]
8,34 unequal: No Solution
No 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: 34:[34, 27], Operations: ['31/31=1', '27*1=27']
Exploring Operation: 34*27=918, Resulting Numbers: [918]
918,34 unequal: No Solution
Exploring Operation: 34+27=61, Resulting Numbers: [61]
61,34 unequal: No Solution
Exploring Operation: 34-27=7, Resulting Numbers: [7]
7,34 unequal: No Solution
No 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: 34:[27, 34], Operations: ['31/31=1', '34/1=34']
Exploring Operation: 27+34=61, Resulting Numbers: [61]
61,34 unequal: No Solution
Exploring Operation: 27*34=918, Resulting Numbers: [918]
918,34 unequal: No Solution
Exploring Operation: 34-27=7, Resulting Numbers: [7]
7,34 unequal: No Solution
No 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: 34:[27, 34], Operations: ['31/31=1', '34*1=34']
Exploring Operation: 34-27=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 27+34=61, Resulting Numbers: [61]
61,34 unequal: No Solution
Exploring Operation: 27*34=918, Resulting Numbers: [918]
918,34 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: 34:[34, 27, 0], Operations: ['31-31=0']
Exploring Operation: 27+0=27, Resulting Numbers: [34, 27]
Generated Node #0,3,0: 34:[34, 27] Operation: 27+0=27
Exploring Operation: 34+0=34, Resulting Numbers: [27, 34]
Generated Node #0,3,1: 34:[27, 34] Operation: 34+0=34
Exploring Operation: 27*0=0, Resulting Numbers: [34, 0]
Generated Node #0,3,2: 34:[34, 0] Operation: 27*0=0
Exploring Operation: 34-0=34, Resulting Numbers: [27, 34]
Generated Node #0,3,3: 34:[27, 34] Operation: 34-0=34
Exploring Operation: 34-27=7, Resulting Numbers: [0, 7]
Generated Node #0,3,4: 34:[0, 7] Operation: 34-27=7
Moving to Node #0,3,2
Current State: 34:[34, 0], Operations: ['31-31=0', '27*0=0']
Exploring Operation: 34*0=0, Resulting Numbers: [0]
0,34 unequal: No Solution
Exploring Operation: 34-0=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[34, 31, 31, 27], Operations: []
Exploring Operation: 31-31=0, Resulting Numbers: [34, 27, 0]
Generated Node #0,3: 34:[34, 27, 0] Operation: 31-31=0
Moving to Node #0,3
Current State: 34:[34, 27, 0], Operations: ['31-31=0']
Exploring Operation: 27*0=0, Resulting Numbers: [34, 0]
Generated Node #0,3,2: 34:[34, 0] Operation: 27*0=0
Moving to Node #0,3,2
Current State: 34:[34, 0], Operations: ['31-31=0', '27*0=0']
Exploring Operation: 34-0=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.93316 | hs_5 | mult_heuristic |
[
11,
2,
65,
25
] | 18 | [
"11*2=22",
"65-25=40",
"40-22=18"
] | Current State: 18:[11, 2, 65, 25], Operations: []
Exploring Operation: 11*2=22, Resulting Numbers: [65, 25, 22]
Generated Node #2: [65, 25, 22] from Operation: 11*2=22
Current State: 18:[65, 25, 22], Operations: ['11*2=22']
Exploring Operation: 65-25=40, Resulting Numbers: [22, 40]
Generated Node #3: [22, 40] from Operation: 65-25=40
Current State: 18:[22, 40], Operations: ['11*2=22', '65-25=40']
Exploring Operation: 40-22=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[11, 2, 65, 25], Operations: []
Exploring Operation: 65-11=54, Resulting Numbers: [2, 25, 54]
Generated Node #0,0: 18:[2, 25, 54] Operation: 65-11=54
Exploring Operation: 65-25=40, Resulting Numbers: [11, 2, 40]
Generated Node #0,1: 18:[11, 2, 40] Operation: 65-25=40
Start Sub Search at level 1: Moving to Node #0,1
Current State: 18:[11, 2, 40], Operations: ['65-25=40']
Exploring Operation: 40-11=29, Resulting Numbers: [2, 29]
Generated Node #0,1,0: 18:[2, 29] Operation: 40-11=29
Exploring Operation: 40/2=20, Resulting Numbers: [11, 20]
Generated Node #0,1,1: 18:[11, 20] Operation: 40/2=20
Moving to Node #0,1,1
Current State: 18:[11, 20], Operations: ['65-25=40', '40/2=20']
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,18 unequal: No Solution
Exploring Operation: 11+20=31, Resulting Numbers: [31]
31,18 unequal: No Solution
Moving to Node #0,1,0
Current State: 18:[2, 29], Operations: ['65-25=40', '40-11=29']
Exploring Operation: 2+29=31, Resulting Numbers: [31]
31,18 unequal: No Solution
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[2, 25, 54], Operations: ['65-11=54']
Exploring Operation: 54-25=29, Resulting Numbers: [2, 29]
Generated Node #0,0,0: 18:[2, 29] Operation: 54-25=29
Exploring Operation: 54/2=27, Resulting Numbers: [25, 27]
Generated Node #0,0,1: 18:[25, 27] Operation: 54/2=27
Moving to Node #0,0,0
Current State: 18:[2, 29], Operations: ['65-11=54', '54-25=29']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,18 unequal: No Solution
Exploring Operation: 2+29=31, Resulting Numbers: [31]
31,18 unequal: No Solution
Moving to Node #0,0,1
Current State: 18:[25, 27], Operations: ['65-11=54', '54/2=27']
Exploring Operation: 25+27=52, Resulting Numbers: [52]
52,18 unequal: No Solution
Exploring Operation: 27-25=2, Resulting Numbers: [2]
2,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
1,
76,
16,
60
] | 80 | [
"16-1=15",
"60/15=4",
"76+4=80"
] | Current State: 80:[1, 76, 16, 60], Operations: []
Exploring Operation: 16-1=15, Resulting Numbers: [76, 60, 15]
Generated Node #2: [76, 60, 15] from Operation: 16-1=15
Current State: 80:[76, 60, 15], Operations: ['16-1=15']
Exploring Operation: 60/15=4, Resulting Numbers: [76, 4]
Generated Node #3: [76, 4] from Operation: 60/15=4
Current State: 80:[76, 4], Operations: ['16-1=15', '60/15=4']
Exploring Operation: 76+4=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[1, 76, 16, 60], Operations: []
Exploring Operation: 76-60=16, Resulting Numbers: [1, 16, 16]
Generated Node #0,0: 80:[1, 16, 16] Operation: 76-60=16
Exploring Operation: 16+60=76, Resulting Numbers: [1, 76, 76]
Generated Node #0,1: 80:[1, 76, 76] Operation: 16+60=76
Moving to Node #0,0
Current State: 80:[1, 16, 16], Operations: ['76-60=16']
Exploring Operation: 16/1=16, Resulting Numbers: [16, 16]
Generated Node #0,0,0: 80:[16, 16] Operation: 16/1=16
Exploring Operation: 1*16=16, Resulting Numbers: [16, 16]
Generated Node #0,0,1: 80:[16, 16] Operation: 1*16=16
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 80:[16, 16], Operations: ['76-60=16', '16/1=16']
Exploring Operation: 16/16=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Exploring Operation: 16-16=0, Resulting Numbers: [0]
0,80 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 #0,0,1
Current State: 80:[16, 16], Operations: ['76-60=16', '1*16=16']
Exploring Operation: 16-16=0, Resulting Numbers: [0]
0,80 unequal: No Solution
Exploring Operation: 16/16=1, Resulting Numbers: [1]
1,80 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:[1, 76, 76], Operations: ['16+60=76']
Exploring Operation: 76/76=1, Resulting Numbers: [1, 1]
Generated Node #0,1,0: 80:[1, 1] Operation: 76/76=1
Exploring Operation: 76-76=0, Resulting Numbers: [1, 0]
Generated Node #0,1,1: 80:[1, 0] Operation: 76-76=0
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 80:[1, 1], Operations: ['16+60=76', '76/76=1']
Exploring Operation: 1*1=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Exploring Operation: 1+1=2, Resulting Numbers: [2]
2,80 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:[1, 0], Operations: ['16+60=76', '76-76=0']
Exploring Operation: 1-0=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Exploring Operation: 1+0=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 | sum_heuristic |
[
22,
32,
14,
58
] | 82 | [
"32-22=10",
"14+58=72",
"10+72=82"
] | Current State: 82:[22, 32, 14, 58], Operations: []
Exploring Operation: 32-22=10, Resulting Numbers: [14, 58, 10]
Generated Node #2: [14, 58, 10] from Operation: 32-22=10
Current State: 82:[14, 58, 10], Operations: ['32-22=10']
Exploring Operation: 14+58=72, Resulting Numbers: [10, 72]
Generated Node #3: [10, 72] from Operation: 14+58=72
Current State: 82:[10, 72], Operations: ['32-22=10', '14+58=72']
Exploring Operation: 10+72=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[22, 32, 14, 58], Operations: []
Exploring Operation: 58-22=36, Resulting Numbers: [32, 14, 36]
Generated Node #0,0: 82:[32, 14, 36] Operation: 58-22=36
Exploring Operation: 58-14=44, Resulting Numbers: [22, 32, 44]
Generated Node #0,1: 82:[22, 32, 44] Operation: 58-14=44
Exploring Operation: 22-14=8, Resulting Numbers: [32, 58, 8]
Generated Node #0,2: 82:[32, 58, 8] Operation: 22-14=8
Exploring Operation: 22+58=80, Resulting Numbers: [32, 14, 80]
Generated Node #0,3: 82:[32, 14, 80] Operation: 22+58=80
Exploring Operation: 22+14=36, Resulting Numbers: [32, 58, 36]
Generated Node #0,4: 82:[32, 58, 36] Operation: 22+14=36
Moving to Node #0,3
Current State: 82:[32, 14, 80], Operations: ['22+58=80']
Exploring Operation: 14+80=94, Resulting Numbers: [32, 94]
Generated Node #0,3,0: 82:[32, 94] Operation: 14+80=94
Exploring Operation: 32+14=46, Resulting Numbers: [80, 46]
Generated Node #0,3,1: 82:[80, 46] Operation: 32+14=46
Exploring Operation: 80-32=48, Resulting Numbers: [14, 48]
Generated Node #0,3,2: 82:[14, 48] Operation: 80-32=48
Exploring Operation: 32-14=18, Resulting Numbers: [80, 18]
Generated Node #0,3,3: 82:[80, 18] Operation: 32-14=18
Exploring Operation: 80-14=66, Resulting Numbers: [32, 66]
Generated Node #0,3,4: 82:[32, 66] Operation: 80-14=66
Moving to Node #0,0
Current State: 82:[32, 14, 36], Operations: ['58-22=36']
Exploring Operation: 32+36=68, Resulting Numbers: [14, 68]
Generated Node #0,0,0: 82:[14, 68] Operation: 32+36=68
Exploring Operation: 32+14=46, Resulting Numbers: [36, 46]
Generated Node #0,0,1: 82:[36, 46] Operation: 32+14=46
Exploring Operation: 32-14=18, Resulting Numbers: [36, 18]
Generated Node #0,0,2: 82:[36, 18] Operation: 32-14=18
Exploring Operation: 36-32=4, Resulting Numbers: [14, 4]
Generated Node #0,0,3: 82:[14, 4] Operation: 36-32=4
Exploring Operation: 14+36=50, Resulting Numbers: [32, 50]
Generated Node #0,0,4: 82:[32, 50] Operation: 14+36=50
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 82:[36, 46], Operations: ['58-22=36', '32+14=46']
Exploring Operation: 46-36=10, Resulting Numbers: [10]
10,82 unequal: No Solution
Exploring Operation: 36*46=1656, Resulting Numbers: [1656]
1656,82 unequal: No Solution
Exploring Operation: 36+46=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[22, 32, 14, 58], Operations: []
Exploring Operation: 58-22=36, Resulting Numbers: [32, 14, 36]
Generated Node #0,0: 82:[32, 14, 36] Operation: 58-22=36
Moving to Node #0,0
Current State: 82:[32, 14, 36], Operations: ['58-22=36']
Exploring Operation: 32+14=46, Resulting Numbers: [36, 46]
Generated Node #0,0,1: 82:[36, 46] Operation: 32+14=46
Moving to Node #0,0,1
Current State: 82:[36, 46], Operations: ['58-22=36', '32+14=46']
Exploring Operation: 36+46=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | mult_heuristic |
[
19,
90,
68,
59
] | 29 | [
"68-59=9",
"90/9=10",
"19+10=29"
] | Current State: 29:[19, 90, 68, 59], Operations: []
Exploring Operation: 68-59=9, Resulting Numbers: [19, 90, 9]
Generated Node #2: [19, 90, 9] from Operation: 68-59=9
Current State: 29:[19, 90, 9], Operations: ['68-59=9']
Exploring Operation: 90/9=10, Resulting Numbers: [19, 10]
Generated Node #3: [19, 10] from Operation: 90/9=10
Current State: 29:[19, 10], Operations: ['68-59=9', '90/9=10']
Exploring Operation: 19+10=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[19, 90, 68, 59], Operations: []
Exploring Operation: 90-19=71, Resulting Numbers: [68, 59, 71]
Generated Node #0,0: 29:[68, 59, 71] Operation: 90-19=71
Exploring Operation: 68-19=49, Resulting Numbers: [90, 59, 49]
Generated Node #0,1: 29:[90, 59, 49] Operation: 68-19=49
Exploring Operation: 68-59=9, Resulting Numbers: [19, 90, 9]
Generated Node #0,2: 29:[19, 90, 9] Operation: 68-59=9
Exploring Operation: 90-68=22, Resulting Numbers: [19, 59, 22]
Generated Node #0,3: 29:[19, 59, 22] Operation: 90-68=22
Exploring Operation: 90-59=31, Resulting Numbers: [19, 68, 31]
Generated Node #0,4: 29:[19, 68, 31] Operation: 90-59=31
Moving to Node #0,3
Current State: 29:[19, 59, 22], Operations: ['90-68=22']
Exploring Operation: 59-19=40, Resulting Numbers: [22, 40]
Generated Node #0,3,0: 29:[22, 40] Operation: 59-19=40
Exploring Operation: 19+22=41, Resulting Numbers: [59, 41]
Generated Node #0,3,1: 29:[59, 41] Operation: 19+22=41
Exploring Operation: 22-19=3, Resulting Numbers: [59, 3]
Generated Node #0,3,2: 29:[59, 3] Operation: 22-19=3
Exploring Operation: 59-22=37, Resulting Numbers: [19, 37]
Generated Node #0,3,3: 29:[19, 37] Operation: 59-22=37
Exploring Operation: 19+59=78, Resulting Numbers: [22, 78]
Generated Node #0,3,4: 29:[22, 78] Operation: 19+59=78
Moving to Node #0,4
Current State: 29:[19, 68, 31], Operations: ['90-59=31']
Exploring Operation: 68-31=37, Resulting Numbers: [19, 37]
Generated Node #0,4,0: 29:[19, 37] Operation: 68-31=37
Exploring Operation: 31-19=12, Resulting Numbers: [68, 12]
Generated Node #0,4,1: 29:[68, 12] Operation: 31-19=12
Exploring Operation: 68-19=49, Resulting Numbers: [31, 49]
Generated Node #0,4,2: 29:[31, 49] Operation: 68-19=49
Exploring Operation: 19+31=50, Resulting Numbers: [68, 50]
Generated Node #0,4,3: 29:[68, 50] Operation: 19+31=50
Exploring Operation: 19+68=87, Resulting Numbers: [31, 87]
Generated Node #0,4,4: 29:[31, 87] Operation: 19+68=87
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 29:[19, 37], Operations: ['90-59=31', '68-31=37']
Exploring Operation: 19*37=703, Resulting Numbers: [703]
703,29 unequal: No Solution
Exploring Operation: 19+37=56, Resulting Numbers: [56]
56,29 unequal: No Solution
Exploring Operation: 37-19=18, Resulting Numbers: [18]
18,29 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 #0,4,2
Current State: 29:[31, 49], Operations: ['90-59=31', '68-19=49']
Exploring Operation: 31+49=80, Resulting Numbers: [80]
80,29 unequal: No Solution
Exploring Operation: 31*49=1519, Resulting Numbers: [1519]
1519,29 unequal: No Solution
Exploring Operation: 49-31=18, Resulting Numbers: [18]
18,29 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 #0,4,1
Current State: 29:[68, 12], Operations: ['90-59=31', '31-19=12']
Exploring Operation: 68-12=56, Resulting Numbers: [56]
56,29 unequal: No Solution
Exploring Operation: 68+12=80, Resulting Numbers: [80]
80,29 unequal: No Solution
Exploring Operation: 68*12=816, Resulting Numbers: [816]
816,29 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 #0,4,3
Current State: 29:[68, 50], Operations: ['90-59=31', '19+31=50']
Exploring Operation: 68*50=3400, Resulting Numbers: [3400]
3400,29 unequal: No Solution
Exploring Operation: 68+50=118, Resulting Numbers: [118]
118,29 unequal: No Solution
Exploring Operation: 68-50=18, Resulting Numbers: [18]
18,29 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 #0,4,4
Current State: 29:[31, 87], Operations: ['90-59=31', '19+68=87']
Exploring Operation: 31+87=118, Resulting Numbers: [118]
118,29 unequal: No Solution
Exploring Operation: 87-31=56, Resulting Numbers: [56]
56,29 unequal: No Solution
Exploring Operation: 31*87=2697, Resulting Numbers: [2697]
2697,29 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: 29:[19, 90, 9], Operations: ['68-59=9']
Exploring Operation: 90-9=81, Resulting Numbers: [19, 81]
Generated Node #0,2,0: 29:[19, 81] Operation: 90-9=81
Exploring Operation: 90/9=10, Resulting Numbers: [19, 10]
Generated Node #0,2,1: 29:[19, 10] Operation: 90/9=10
Exploring Operation: 90-19=71, Resulting Numbers: [9, 71]
Generated Node #0,2,2: 29:[9, 71] Operation: 90-19=71
Exploring Operation: 19+9=28, Resulting Numbers: [90, 28]
Generated Node #0,2,3: 29:[90, 28] Operation: 19+9=28
Exploring Operation: 19-9=10, Resulting Numbers: [90, 10]
Generated Node #0,2,4: 29:[90, 10] Operation: 19-9=10
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 29:[19, 10], Operations: ['68-59=9', '90/9=10']
Exploring Operation: 19*10=190, Resulting Numbers: [190]
190,29 unequal: No Solution
Exploring Operation: 19+10=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[19, 90, 68, 59], Operations: []
Exploring Operation: 68-59=9, Resulting Numbers: [19, 90, 9]
Generated Node #0,2: 29:[19, 90, 9] Operation: 68-59=9
Moving to Node #0,2
Current State: 29:[19, 90, 9], Operations: ['68-59=9']
Exploring Operation: 90/9=10, Resulting Numbers: [19, 10]
Generated Node #0,2,1: 29:[19, 10] Operation: 90/9=10
Moving to Node #0,2,1
Current State: 29:[19, 10], Operations: ['68-59=9', '90/9=10']
Exploring Operation: 19+10=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.96441 | hs_5 | sum_heuristic |
[
64,
39,
3,
62
] | 33 | [
"64-62=2",
"3*2=6",
"39-6=33"
] | Current State: 33:[64, 39, 3, 62], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [39, 3, 2]
Generated Node #2: [39, 3, 2] from Operation: 64-62=2
Current State: 33:[39, 3, 2], Operations: ['64-62=2']
Exploring Operation: 3*2=6, Resulting Numbers: [39, 6]
Generated Node #3: [39, 6] from Operation: 3*2=6
Current State: 33:[39, 6], Operations: ['64-62=2', '3*2=6']
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[64, 39, 3, 62], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [39, 3, 2]
Generated Node #0,0: 33:[39, 3, 2] Operation: 64-62=2
Exploring Operation: 64-39=25, Resulting Numbers: [3, 62, 25]
Generated Node #0,1: 33:[3, 62, 25] Operation: 64-39=25
Moving to Node #0,0
Current State: 33:[39, 3, 2], Operations: ['64-62=2']
Exploring Operation: 39/3=13, Resulting Numbers: [2, 13]
Generated Node #0,0,0: 33:[2, 13] Operation: 39/3=13
Exploring Operation: 39-3=36, Resulting Numbers: [2, 36]
Generated Node #0,0,1: 33:[2, 36] Operation: 39-3=36
Moving to Node #0,1
Current State: 33:[3, 62, 25], Operations: ['64-39=25']
Exploring Operation: 62-25=37, Resulting Numbers: [3, 37]
Generated Node #0,1,0: 33:[3, 37] Operation: 62-25=37
Exploring Operation: 62-3=59, Resulting Numbers: [25, 59]
Generated Node #0,1,1: 33:[25, 59] Operation: 62-3=59
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 33:[3, 37], Operations: ['64-39=25', '62-25=37']
Exploring Operation: 3+37=40, Resulting Numbers: [40]
40,33 unequal: No Solution
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 33:[25, 59], Operations: ['64-39=25', '62-3=59']
Exploring Operation: 25+59=84, Resulting Numbers: [84]
84,33 unequal: No Solution
Exploring Operation: 59-25=34, Resulting Numbers: [34]
34,33 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: 33:[2, 13], Operations: ['64-62=2', '39/3=13']
Exploring Operation: 2+13=15, Resulting Numbers: [15]
15,33 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,33 unequal: No Solution
Moving to Node #0,0,1
Current State: 33:[2, 36], Operations: ['64-62=2', '39-3=36']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,33 unequal: No Solution
Exploring Operation: 2+36=38, Resulting Numbers: [38]
38,33 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
81,
37,
80,
42
] | 93 | [
"80*42=3360",
"81+3360=3441",
"3441/37=93"
] | Current State: 93:[81, 37, 80, 42], Operations: []
Exploring Operation: 80*42=3360, Resulting Numbers: [81, 37, 3360]
Generated Node #2: [81, 37, 3360] from Operation: 80*42=3360
Current State: 93:[81, 37, 3360], Operations: ['80*42=3360']
Exploring Operation: 81+3360=3441, Resulting Numbers: [37, 3441]
Generated Node #3: [37, 3441] from Operation: 81+3360=3441
Current State: 93:[37, 3441], Operations: ['80*42=3360', '81+3360=3441']
Exploring Operation: 3441/37=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[81, 37, 80, 42], Operations: []
Exploring Operation: 81-80=1, Resulting Numbers: [37, 42, 1]
Generated Node #0,0: 93:[37, 42, 1] Operation: 81-80=1
Moving to Node #0,0
Current State: 93:[37, 42, 1], Operations: ['81-80=1']
Exploring Operation: 42-37=5, Resulting Numbers: [1, 5]
Generated Node #0,0,0: 93:[1, 5] Operation: 42-37=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 93:[1, 5], Operations: ['81-80=1', '42-37=5']
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,93 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 |
[
20,
75,
40,
74
] | 59 | [
"75-20=55",
"40+74=114",
"114-55=59"
] | Current State: 59:[20, 75, 40, 74], Operations: []
Exploring Operation: 75-20=55, Resulting Numbers: [40, 74, 55]
Generated Node #2: [40, 74, 55] from Operation: 75-20=55
Current State: 59:[40, 74, 55], Operations: ['75-20=55']
Exploring Operation: 40+74=114, Resulting Numbers: [55, 114]
Generated Node #3: [55, 114] from Operation: 40+74=114
Current State: 59:[55, 114], Operations: ['75-20=55', '40+74=114']
Exploring Operation: 114-55=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[20, 75, 40, 74], Operations: []
Exploring Operation: 20+75=95, Resulting Numbers: [40, 74, 95]
Generated Node #0,0: 59:[40, 74, 95] Operation: 20+75=95
Exploring Operation: 20+40=60, Resulting Numbers: [75, 74, 60]
Generated Node #0,1: 59:[75, 74, 60] Operation: 20+40=60
Exploring Operation: 74-20=54, Resulting Numbers: [75, 40, 54]
Generated Node #0,2: 59:[75, 40, 54] Operation: 74-20=54
Exploring Operation: 75-20=55, Resulting Numbers: [40, 74, 55]
Generated Node #0,3: 59:[40, 74, 55] Operation: 75-20=55
Moving to Node #0,1
Current State: 59:[75, 74, 60], Operations: ['20+40=60']
Exploring Operation: 75+74=149, Resulting Numbers: [60, 149]
Generated Node #0,1,0: 59:[60, 149] Operation: 75+74=149
Exploring Operation: 74-60=14, Resulting Numbers: [75, 14]
Generated Node #0,1,1: 59:[75, 14] Operation: 74-60=14
Exploring Operation: 75-60=15, Resulting Numbers: [74, 15]
Generated Node #0,1,2: 59:[74, 15] Operation: 75-60=15
Exploring Operation: 75-74=1, Resulting Numbers: [60, 1]
Generated Node #0,1,3: 59:[60, 1] Operation: 75-74=1
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 59:[74, 15], Operations: ['20+40=60', '75-60=15']
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[20, 75, 40, 74], Operations: []
Exploring Operation: 20+40=60, Resulting Numbers: [75, 74, 60]
Generated Node #0,1: 59:[75, 74, 60] Operation: 20+40=60
Moving to Node #0,1
Current State: 59:[75, 74, 60], Operations: ['20+40=60']
Exploring Operation: 75-60=15, Resulting Numbers: [74, 15]
Generated Node #0,1,2: 59:[74, 15] Operation: 75-60=15
Moving to Node #0,1,2
Current State: 59:[74, 15], Operations: ['20+40=60', '75-60=15']
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
10,
23,
62,
65
] | 16 | [
"23-10=13",
"65-62=3",
"13+3=16"
] | Current State: 16:[10, 23, 62, 65], Operations: []
Exploring Operation: 23-10=13, Resulting Numbers: [62, 65, 13]
Generated Node #2: [62, 65, 13] from Operation: 23-10=13
Current State: 16:[62, 65, 13], Operations: ['23-10=13']
Exploring Operation: 65-62=3, Resulting Numbers: [13, 3]
Generated Node #3: [13, 3] from Operation: 65-62=3
Current State: 16:[13, 3], Operations: ['23-10=13', '65-62=3']
Exploring Operation: 13+3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[10, 23, 62, 65], Operations: []
Exploring Operation: 65-62=3, Resulting Numbers: [10, 23, 3]
Generated Node #0,0: 16:[10, 23, 3] Operation: 65-62=3
Moving to Node #0,0
Current State: 16:[10, 23, 3], Operations: ['65-62=3']
Exploring Operation: 23-10=13, Resulting Numbers: [3, 13]
Generated Node #0,0,0: 16:[3, 13] Operation: 23-10=13
Moving to Node #0,0,0
Current State: 16:[3, 13], Operations: ['65-62=3', '23-10=13']
Exploring Operation: 3+13=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[10, 23, 62, 65], Operations: []
Exploring Operation: 65-62=3, Resulting Numbers: [10, 23, 3]
Generated Node #0,0: 16:[10, 23, 3] Operation: 65-62=3
Moving to Node #0,0
Current State: 16:[10, 23, 3], Operations: ['65-62=3']
Exploring Operation: 23-10=13, Resulting Numbers: [3, 13]
Generated Node #0,0,0: 16:[3, 13] Operation: 23-10=13
Moving to Node #0,0,0
Current State: 16:[3, 13], Operations: ['65-62=3', '23-10=13']
Exploring Operation: 3+13=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
22,
28,
56,
64
] | 58 | [
"22+28=50",
"64-56=8",
"50+8=58"
] | Current State: 58:[22, 28, 56, 64], Operations: []
Exploring Operation: 22+28=50, Resulting Numbers: [56, 64, 50]
Generated Node #2: [56, 64, 50] from Operation: 22+28=50
Current State: 58:[56, 64, 50], Operations: ['22+28=50']
Exploring Operation: 64-56=8, Resulting Numbers: [50, 8]
Generated Node #3: [50, 8] from Operation: 64-56=8
Current State: 58:[50, 8], Operations: ['22+28=50', '64-56=8']
Exploring Operation: 50+8=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[22, 28, 56, 64], Operations: []
Exploring Operation: 28-22=6, Resulting Numbers: [56, 64, 6]
Generated Node #0,0: 58:[56, 64, 6] Operation: 28-22=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[56, 64, 6], Operations: ['28-22=6']
Exploring Operation: 64-6=58, Resulting Numbers: [56, 58]
Generated Node #0,0,0: 58:[56, 58] Operation: 64-6=58
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 58:[56, 58], Operations: ['28-22=6', '64-6=58']
Exploring Operation: 58-56=2, Resulting Numbers: [2]
2,58 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
No solution found.
| 0 | hs_1 | mult_heuristic |
[
62,
53,
32,
96
] | 73 | [
"62-53=9",
"96-32=64",
"9+64=73"
] | Current State: 73:[62, 53, 32, 96], Operations: []
Exploring Operation: 62-53=9, Resulting Numbers: [32, 96, 9]
Generated Node #2: [32, 96, 9] from Operation: 62-53=9
Current State: 73:[32, 96, 9], Operations: ['62-53=9']
Exploring Operation: 96-32=64, Resulting Numbers: [9, 64]
Generated Node #3: [9, 64] from Operation: 96-32=64
Current State: 73:[9, 64], Operations: ['62-53=9', '96-32=64']
Exploring Operation: 9+64=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[62, 53, 32, 96], Operations: []
Exploring Operation: 53+32=85, Resulting Numbers: [62, 96, 85]
Generated Node #0,0: 73:[62, 96, 85] Operation: 53+32=85
Exploring Operation: 96-32=64, Resulting Numbers: [62, 53, 64]
Generated Node #0,1: 73:[62, 53, 64] Operation: 96-32=64
Moving to Node #0,1
Current State: 73:[62, 53, 64], Operations: ['96-32=64']
Exploring Operation: 62+53=115, Resulting Numbers: [64, 115]
Generated Node #0,1,0: 73:[64, 115] Operation: 62+53=115
Exploring Operation: 53+64=117, Resulting Numbers: [62, 117]
Generated Node #0,1,1: 73:[62, 117] Operation: 53+64=117
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 73:[64, 115], Operations: ['96-32=64', '62+53=115']
Exploring Operation: 115-64=51, Resulting Numbers: [51]
51,73 unequal: No Solution
Exploring Operation: 64+115=179, Resulting Numbers: [179]
179,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 73:[62, 117], Operations: ['96-32=64', '53+64=117']
Exploring Operation: 62+117=179, Resulting Numbers: [179]
179,73 unequal: No Solution
Exploring Operation: 117-62=55, Resulting Numbers: [55]
55,73 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: 73:[62, 96, 85], Operations: ['53+32=85']
Exploring Operation: 96-62=34, Resulting Numbers: [85, 34]
Generated Node #0,0,0: 73:[85, 34] Operation: 96-62=34
Exploring Operation: 85-62=23, Resulting Numbers: [96, 23]
Generated Node #0,0,1: 73:[96, 23] Operation: 85-62=23
Moving to Node #0,0,0
Current State: 73:[85, 34], Operations: ['53+32=85', '96-62=34']
Exploring Operation: 85+34=119, Resulting Numbers: [119]
119,73 unequal: No Solution
Exploring Operation: 85-34=51, Resulting Numbers: [51]
51,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[96, 23], Operations: ['53+32=85', '85-62=23']
Exploring Operation: 96+23=119, Resulting Numbers: [119]
119,73 unequal: No Solution
Exploring Operation: 96-23=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[62, 53, 32, 96], Operations: []
Exploring Operation: 53+32=85, Resulting Numbers: [62, 96, 85]
Generated Node #0,0: 73:[62, 96, 85] Operation: 53+32=85
Moving to Node #0,0
Current State: 73:[62, 96, 85], Operations: ['53+32=85']
Exploring Operation: 85-62=23, Resulting Numbers: [96, 23]
Generated Node #0,0,1: 73:[96, 23] Operation: 85-62=23
Moving to Node #0,0,1
Current State: 73:[96, 23], Operations: ['53+32=85', '85-62=23']
Exploring Operation: 96-23=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 0.984375 | hs_2 | mult_heuristic |
[
17,
36,
40,
4
] | 63 | [
"17+36=53",
"40/4=10",
"53+10=63"
] | Current State: 63:[17, 36, 40, 4], Operations: []
Exploring Operation: 17+36=53, Resulting Numbers: [40, 4, 53]
Generated Node #2: [40, 4, 53] from Operation: 17+36=53
Current State: 63:[40, 4, 53], Operations: ['17+36=53']
Exploring Operation: 40/4=10, Resulting Numbers: [53, 10]
Generated Node #3: [53, 10] from Operation: 40/4=10
Current State: 63:[53, 10], Operations: ['17+36=53', '40/4=10']
Exploring Operation: 53+10=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[17, 36, 40, 4], Operations: []
Exploring Operation: 40-36=4, Resulting Numbers: [17, 4, 4]
Generated Node #0,0: 63:[17, 4, 4] Operation: 40-36=4
Moving to Node #0,0
Current State: 63:[17, 4, 4], Operations: ['40-36=4']
Exploring Operation: 17+4=21, Resulting Numbers: [4, 21]
Generated Node #0,0,0: 63:[4, 21] Operation: 17+4=21
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 63:[4, 21], Operations: ['40-36=4', '17+4=21']
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
68,
58,
84,
39
] | 35 | [
"68-58=10",
"84-39=45",
"45-10=35"
] | Current State: 35:[68, 58, 84, 39], Operations: []
Exploring Operation: 68-58=10, Resulting Numbers: [84, 39, 10]
Generated Node #2: [84, 39, 10] from Operation: 68-58=10
Current State: 35:[84, 39, 10], Operations: ['68-58=10']
Exploring Operation: 84-39=45, Resulting Numbers: [10, 45]
Generated Node #3: [10, 45] from Operation: 84-39=45
Current State: 35:[10, 45], Operations: ['68-58=10', '84-39=45']
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[68, 58, 84, 39], Operations: []
Exploring Operation: 84-68=16, Resulting Numbers: [58, 39, 16]
Generated Node #0,0: 35:[58, 39, 16] Operation: 84-68=16
Exploring Operation: 84-58=26, Resulting Numbers: [68, 39, 26]
Generated Node #0,1: 35:[68, 39, 26] Operation: 84-58=26
Moving to Node #0,0
Current State: 35:[58, 39, 16], Operations: ['84-68=16']
Exploring Operation: 58-16=42, Resulting Numbers: [39, 42]
Generated Node #0,0,0: 35:[39, 42] Operation: 58-16=42
Exploring Operation: 58-39=19, Resulting Numbers: [16, 19]
Generated Node #0,0,1: 35:[16, 19] Operation: 58-39=19
Moving to Node #0,1
Current State: 35:[68, 39, 26], Operations: ['84-58=26']
Exploring Operation: 68-39=29, Resulting Numbers: [26, 29]
Generated Node #0,1,0: 35:[26, 29] Operation: 68-39=29
Exploring Operation: 68-26=42, Resulting Numbers: [39, 42]
Generated Node #0,1,1: 35:[39, 42] Operation: 68-26=42
Moving to Node #0,0,0
Current State: 35:[39, 42], Operations: ['84-68=16', '58-16=42']
Exploring Operation: 39+42=81, Resulting Numbers: [81]
81,35 unequal: No Solution
Exploring Operation: 42-39=3, Resulting Numbers: [3]
3,35 unequal: No Solution
Moving to Node #0,1,1
Current State: 35:[39, 42], Operations: ['84-58=26', '68-26=42']
Exploring Operation: 42-39=3, Resulting Numbers: [3]
3,35 unequal: No Solution
Exploring Operation: 39+42=81, Resulting Numbers: [81]
81,35 unequal: No Solution
Moving to Node #0,1,0
Current State: 35:[26, 29], Operations: ['84-58=26', '68-39=29']
Exploring Operation: 29-26=3, Resulting Numbers: [3]
3,35 unequal: No Solution
Exploring Operation: 26+29=55, Resulting Numbers: [55]
55,35 unequal: No Solution
Moving to Node #0,0,1
Current State: 35:[16, 19], Operations: ['84-68=16', '58-39=19']
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,35 unequal: No Solution
Exploring Operation: 16+19=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[68, 58, 84, 39], Operations: []
Exploring Operation: 84-68=16, Resulting Numbers: [58, 39, 16]
Generated Node #0,0: 35:[58, 39, 16] Operation: 84-68=16
Moving to Node #0,0
Current State: 35:[58, 39, 16], Operations: ['84-68=16']
Exploring Operation: 58-39=19, Resulting Numbers: [16, 19]
Generated Node #0,0,1: 35:[16, 19] Operation: 58-39=19
Moving to Node #0,0,1
Current State: 35:[16, 19], Operations: ['84-68=16', '58-39=19']
Exploring Operation: 16+19=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 0.984375 | hs_2 | mult_heuristic |
[
16,
35,
32,
27
] | 23 | [
"32-27=5",
"35/5=7",
"16+7=23"
] | Current State: 23:[16, 35, 32, 27], Operations: []
Exploring Operation: 32-27=5, Resulting Numbers: [16, 35, 5]
Generated Node #2: [16, 35, 5] from Operation: 32-27=5
Current State: 23:[16, 35, 5], Operations: ['32-27=5']
Exploring Operation: 35/5=7, Resulting Numbers: [16, 7]
Generated Node #3: [16, 7] from Operation: 35/5=7
Current State: 23:[16, 7], Operations: ['32-27=5', '35/5=7']
Exploring Operation: 16+7=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[16, 35, 32, 27], Operations: []
Exploring Operation: 32-16=16, Resulting Numbers: [35, 27, 16]
Generated Node #0,0: 23:[35, 27, 16] Operation: 32-16=16
Exploring Operation: 35-16=19, Resulting Numbers: [32, 27, 19]
Generated Node #0,1: 23:[32, 27, 19] Operation: 35-16=19
Start Sub Search at level 1: Moving to Node #0,1
Current State: 23:[32, 27, 19], Operations: ['35-16=19']
Exploring Operation: 32-27=5, Resulting Numbers: [19, 5]
Generated Node #0,1,0: 23:[19, 5] Operation: 32-27=5
Exploring Operation: 32-19=13, Resulting Numbers: [27, 13]
Generated Node #0,1,1: 23:[27, 13] Operation: 32-19=13
Moving to Node #0,1,1
Current State: 23:[27, 13], Operations: ['35-16=19', '32-19=13']
Exploring Operation: 27+13=40, Resulting Numbers: [40]
40,23 unequal: No Solution
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,23 unequal: No Solution
Moving to Node #0,1,0
Current State: 23:[19, 5], Operations: ['35-16=19', '32-27=5']
Exploring Operation: 19+5=24, Resulting Numbers: [24]
24,23 unequal: No Solution
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[35, 27, 16], Operations: ['32-16=16']
Exploring Operation: 35-16=19, Resulting Numbers: [27, 19]
Generated Node #0,0,0: 23:[27, 19] Operation: 35-16=19
Exploring Operation: 35-27=8, Resulting Numbers: [16, 8]
Generated Node #0,0,1: 23:[16, 8] Operation: 35-27=8
Moving to Node #0,0,0
Current State: 23:[27, 19], Operations: ['32-16=16', '35-16=19']
Exploring Operation: 27-19=8, Resulting Numbers: [8]
8,23 unequal: No Solution
Exploring Operation: 27+19=46, Resulting Numbers: [46]
46,23 unequal: No Solution
Moving to Node #0,0,1
Current State: 23:[16, 8], Operations: ['32-16=16', '35-27=8']
Exploring Operation: 16-8=8, Resulting Numbers: [8]
8,23 unequal: No Solution
Exploring Operation: 16+8=24, Resulting Numbers: [24]
24,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
36,
69,
66,
99
] | 69 | [
"69-36=33",
"99/33=3",
"66+3=69"
] | Current State: 69:[36, 69, 66, 99], Operations: []
Exploring Operation: 69-36=33, Resulting Numbers: [66, 99, 33]
Generated Node #2: [66, 99, 33] from Operation: 69-36=33
Current State: 69:[66, 99, 33], Operations: ['69-36=33']
Exploring Operation: 99/33=3, Resulting Numbers: [66, 3]
Generated Node #3: [66, 3] from Operation: 99/33=3
Current State: 69:[66, 3], Operations: ['69-36=33', '99/33=3']
Exploring Operation: 66+3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[36, 69, 66, 99], Operations: []
Exploring Operation: 99-69=30, Resulting Numbers: [36, 66, 30]
Generated Node #0,0: 69:[36, 66, 30] Operation: 99-69=30
Exploring Operation: 99-66=33, Resulting Numbers: [36, 69, 33]
Generated Node #0,1: 69:[36, 69, 33] Operation: 99-66=33
Exploring Operation: 66-36=30, Resulting Numbers: [69, 99, 30]
Generated Node #0,2: 69:[69, 99, 30] Operation: 66-36=30
Exploring Operation: 99-36=63, Resulting Numbers: [69, 66, 63]
Generated Node #0,3: 69:[69, 66, 63] Operation: 99-36=63
Moving to Node #0,3
Current State: 69:[69, 66, 63], Operations: ['99-36=63']
Exploring Operation: 66+63=129, Resulting Numbers: [69, 129]
Generated Node #0,3,0: 69:[69, 129] Operation: 66+63=129
Exploring Operation: 69-66=3, Resulting Numbers: [63, 3]
Generated Node #0,3,1: 69:[63, 3] Operation: 69-66=3
Exploring Operation: 66-63=3, Resulting Numbers: [69, 3]
Generated Node #0,3,2: 69:[69, 3] Operation: 66-63=3
Exploring Operation: 69-63=6, Resulting Numbers: [66, 6]
Generated Node #0,3,3: 69:[66, 6] Operation: 69-63=6
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 69:[69, 3], Operations: ['99-36=63', '66-63=3']
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,69 unequal: No Solution
Exploring Operation: 69*3=207, Resulting Numbers: [207]
207,69 unequal: No Solution
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,69 unequal: No Solution
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 69:[63, 3], Operations: ['99-36=63', '69-66=3']
Exploring Operation: 63+3=66, Resulting Numbers: [66]
66,69 unequal: No Solution
Exploring Operation: 63-3=60, Resulting Numbers: [60]
60,69 unequal: No Solution
Exploring Operation: 63*3=189, Resulting Numbers: [189]
189,69 unequal: No Solution
Exploring Operation: 63/3=21, Resulting Numbers: [21]
21,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 69:[66, 6], Operations: ['99-36=63', '69-63=6']
Exploring Operation: 66*6=396, Resulting Numbers: [396]
396,69 unequal: No Solution
Exploring Operation: 66+6=72, Resulting Numbers: [72]
72,69 unequal: No Solution
Exploring Operation: 66-6=60, Resulting Numbers: [60]
60,69 unequal: No Solution
Exploring Operation: 66/6=11, Resulting Numbers: [11]
11,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 69:[69, 129], Operations: ['99-36=63', '66+63=129']
Exploring Operation: 69+129=198, Resulting Numbers: [198]
198,69 unequal: No Solution
Exploring Operation: 69*129=8901, Resulting Numbers: [8901]
8901,69 unequal: No Solution
Exploring Operation: 129-69=60, Resulting Numbers: [60]
60,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 69:[36, 69, 33], Operations: ['99-66=33']
Exploring Operation: 36+33=69, Resulting Numbers: [69, 69]
Generated Node #0,1,0: 69:[69, 69] Operation: 36+33=69
Exploring Operation: 36-33=3, Resulting Numbers: [69, 3]
Generated Node #0,1,1: 69:[69, 3] Operation: 36-33=3
Exploring Operation: 69-33=36, Resulting Numbers: [36, 36]
Generated Node #0,1,2: 69:[36, 36] Operation: 69-33=36
Exploring Operation: 69-36=33, Resulting Numbers: [33, 33]
Generated Node #0,1,3: 69:[33, 33] Operation: 69-36=33
Moving to Node #0,0
Current State: 69:[36, 66, 30], Operations: ['99-69=30']
Exploring Operation: 36-30=6, Resulting Numbers: [66, 6]
Generated Node #0,0,0: 69:[66, 6] Operation: 36-30=6
Exploring Operation: 66-36=30, Resulting Numbers: [30, 30]
Generated Node #0,0,1: 69:[30, 30] Operation: 66-36=30
Exploring Operation: 66-30=36, Resulting Numbers: [36, 36]
Generated Node #0,0,2: 69:[36, 36] Operation: 66-30=36
Exploring Operation: 36+30=66, Resulting Numbers: [66, 66]
Generated Node #0,0,3: 69:[66, 66] Operation: 36+30=66
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 69:[66, 6], Operations: ['99-69=30', '36-30=6']
Exploring Operation: 66-6=60, Resulting Numbers: [60]
60,69 unequal: No Solution
Exploring Operation: 66+6=72, Resulting Numbers: [72]
72,69 unequal: No Solution
Exploring Operation: 66*6=396, Resulting Numbers: [396]
396,69 unequal: No Solution
Exploring Operation: 66/6=11, Resulting Numbers: [11]
11,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 69:[66, 66], Operations: ['99-69=30', '36+30=66']
Exploring Operation: 66/66=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 66+66=132, Resulting Numbers: [132]
132,69 unequal: No Solution
Exploring Operation: 66-66=0, Resulting Numbers: [0]
0,69 unequal: No Solution
Exploring Operation: 66*66=4356, Resulting Numbers: [4356]
4356,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 69:[30, 30], Operations: ['99-69=30', '66-36=30']
Exploring Operation: 30+30=60, Resulting Numbers: [60]
60,69 unequal: No Solution
Exploring Operation: 30*30=900, Resulting Numbers: [900]
900,69 unequal: No Solution
Exploring Operation: 30/30=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 30-30=0, Resulting Numbers: [0]
0,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 69:[36, 36], Operations: ['99-69=30', '66-30=36']
Exploring Operation: 36*36=1296, Resulting Numbers: [1296]
1296,69 unequal: No Solution
Exploring Operation: 36/36=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 36+36=72, Resulting Numbers: [72]
72,69 unequal: No Solution
Exploring Operation: 36-36=0, Resulting Numbers: [0]
0,69 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: 69:[69, 99, 30], Operations: ['66-36=30']
Exploring Operation: 69-30=39, Resulting Numbers: [99, 39]
Generated Node #0,2,0: 69:[99, 39] Operation: 69-30=39
Exploring Operation: 99-30=69, Resulting Numbers: [69, 69]
Generated Node #0,2,1: 69:[69, 69] Operation: 99-30=69
Exploring Operation: 69+30=99, Resulting Numbers: [99, 99]
Generated Node #0,2,2: 69:[99, 99] Operation: 69+30=99
Exploring Operation: 99-69=30, Resulting Numbers: [30, 30]
Generated Node #0,2,3: 69:[30, 30] Operation: 99-69=30
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 69:[69, 69], Operations: ['66-36=30', '99-30=69']
Exploring Operation: 69+69=138, Resulting Numbers: [138]
138,69 unequal: No Solution
Exploring Operation: 69-69=0, Resulting Numbers: [0]
0,69 unequal: No Solution
Exploring Operation: 69/69=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 69*69=4761, Resulting Numbers: [4761]
4761,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 69:[30, 30], Operations: ['66-36=30', '99-69=30']
Exploring Operation: 30*30=900, Resulting Numbers: [900]
900,69 unequal: No Solution
Exploring Operation: 30+30=60, Resulting Numbers: [60]
60,69 unequal: No Solution
Exploring Operation: 30-30=0, Resulting Numbers: [0]
0,69 unequal: No Solution
Exploring Operation: 30/30=1, Resulting Numbers: [1]
1,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 69:[99, 39], Operations: ['66-36=30', '69-30=39']
Exploring Operation: 99*39=3861, Resulting Numbers: [3861]
3861,69 unequal: No Solution
Exploring Operation: 99-39=60, Resulting Numbers: [60]
60,69 unequal: No Solution
Exploring Operation: 99+39=138, Resulting Numbers: [138]
138,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 69:[99, 99], Operations: ['66-36=30', '69+30=99']
Exploring Operation: 99-99=0, Resulting Numbers: [0]
0,69 unequal: No Solution
Exploring Operation: 99/99=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 99+99=198, Resulting Numbers: [198]
198,69 unequal: No Solution
Exploring Operation: 99*99=9801, Resulting Numbers: [9801]
9801,69 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: 69:[69, 69], Operations: ['99-66=33', '36+33=69']
Exploring Operation: 69-69=0, Resulting Numbers: [0]
0,69 unequal: No Solution
Exploring Operation: 69/69=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 69+69=138, Resulting Numbers: [138]
138,69 unequal: No Solution
Exploring Operation: 69*69=4761, Resulting Numbers: [4761]
4761,69 unequal: No Solution
Moving to Node #0,1,1
Current State: 69:[69, 3], Operations: ['99-66=33', '36-33=3']
Exploring Operation: 69*3=207, Resulting Numbers: [207]
207,69 unequal: No Solution
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,69 unequal: No Solution
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,69 unequal: No Solution
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,69 unequal: No Solution
Moving to Node #0,1,3
Current State: 69:[33, 33], Operations: ['99-66=33', '69-36=33']
Exploring Operation: 33-33=0, Resulting Numbers: [0]
0,69 unequal: No Solution
Exploring Operation: 33*33=1089, Resulting Numbers: [1089]
1089,69 unequal: No Solution
Exploring Operation: 33+33=66, Resulting Numbers: [66]
66,69 unequal: No Solution
Exploring Operation: 33/33=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Moving to Node #0,1,2
Current State: 69:[36, 36], Operations: ['99-66=33', '69-33=36']
Exploring Operation: 36+36=72, Resulting Numbers: [72]
72,69 unequal: No Solution
Exploring Operation: 36/36=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 36-36=0, Resulting Numbers: [0]
0,69 unequal: No Solution
Exploring Operation: 36*36=1296, Resulting Numbers: [1296]
1296,69 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
72,
2,
33,
28
] | 90 | [
"2+33=35",
"72*35=2520",
"2520/28=90"
] | Current State: 90:[72, 2, 33, 28], Operations: []
Exploring Operation: 2+33=35, Resulting Numbers: [72, 28, 35]
Generated Node #2: [72, 28, 35] from Operation: 2+33=35
Current State: 90:[72, 28, 35], Operations: ['2+33=35']
Exploring Operation: 72*35=2520, Resulting Numbers: [28, 2520]
Generated Node #3: [28, 2520] from Operation: 72*35=2520
Current State: 90:[28, 2520], Operations: ['2+33=35', '72*35=2520']
Exploring Operation: 2520/28=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[72, 2, 33, 28], Operations: []
Exploring Operation: 72/2=36, Resulting Numbers: [33, 28, 36]
Generated Node #0,0: 90:[33, 28, 36] Operation: 72/2=36
Exploring Operation: 72-28=44, Resulting Numbers: [2, 33, 44]
Generated Node #0,1: 90:[2, 33, 44] Operation: 72-28=44
Exploring Operation: 72+28=100, Resulting Numbers: [2, 33, 100]
Generated Node #0,2: 90:[2, 33, 100] Operation: 72+28=100
Exploring Operation: 72+33=105, Resulting Numbers: [2, 28, 105]
Generated Node #0,3: 90:[2, 28, 105] Operation: 72+33=105
Exploring Operation: 72-33=39, Resulting Numbers: [2, 28, 39]
Generated Node #0,4: 90:[2, 28, 39] Operation: 72-33=39
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[2, 33, 44], Operations: ['72-28=44']
Exploring Operation: 2+33=35, Resulting Numbers: [44, 35]
Generated Node #0,1,0: 90:[44, 35] Operation: 2+33=35
Exploring Operation: 2+44=46, Resulting Numbers: [33, 46]
Generated Node #0,1,1: 90:[33, 46] Operation: 2+44=46
Exploring Operation: 44-33=11, Resulting Numbers: [2, 11]
Generated Node #0,1,2: 90:[2, 11] Operation: 44-33=11
Exploring Operation: 33-2=31, Resulting Numbers: [44, 31]
Generated Node #0,1,3: 90:[44, 31] Operation: 33-2=31
Exploring Operation: 2*44=88, Resulting Numbers: [33, 88]
Generated Node #0,1,4: 90:[33, 88] Operation: 2*44=88
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 90:[2, 11], Operations: ['72-28=44', '44-33=11']
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,90 unequal: No Solution
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,90 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 90:[44, 31], Operations: ['72-28=44', '33-2=31']
Exploring Operation: 44+31=75, Resulting Numbers: [75]
75,90 unequal: No Solution
Exploring Operation: 44-31=13, Resulting Numbers: [13]
13,90 unequal: No Solution
Exploring Operation: 44*31=1364, Resulting Numbers: [1364]
1364,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 90:[33, 46], Operations: ['72-28=44', '2+44=46']
Exploring Operation: 33*46=1518, Resulting Numbers: [1518]
1518,90 unequal: No Solution
Exploring Operation: 33+46=79, Resulting Numbers: [79]
79,90 unequal: No Solution
Exploring Operation: 46-33=13, Resulting Numbers: [13]
13,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 90:[33, 88], Operations: ['72-28=44', '2*44=88']
Exploring Operation: 88-33=55, Resulting Numbers: [55]
55,90 unequal: No Solution
Exploring Operation: 33+88=121, Resulting Numbers: [121]
121,90 unequal: No Solution
Exploring Operation: 33*88=2904, Resulting Numbers: [2904]
2904,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 90:[44, 35], Operations: ['72-28=44', '2+33=35']
Exploring Operation: 44-35=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Exploring Operation: 44+35=79, Resulting Numbers: [79]
79,90 unequal: No Solution
Exploring Operation: 44*35=1540, Resulting Numbers: [1540]
1540,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 90:[2, 28, 39], Operations: ['72-33=39']
Exploring Operation: 39-2=37, Resulting Numbers: [28, 37]
Generated Node #0,4,0: 90:[28, 37] Operation: 39-2=37
Exploring Operation: 2+39=41, Resulting Numbers: [28, 41]
Generated Node #0,4,1: 90:[28, 41] Operation: 2+39=41
Exploring Operation: 39-28=11, Resulting Numbers: [2, 11]
Generated Node #0,4,2: 90:[2, 11] Operation: 39-28=11
Exploring Operation: 28/2=14, Resulting Numbers: [39, 14]
Generated Node #0,4,3: 90:[39, 14] Operation: 28/2=14
Exploring Operation: 2+28=30, Resulting Numbers: [39, 30]
Generated Node #0,4,4: 90:[39, 30] Operation: 2+28=30
Moving to Node #0,4,2
Current State: 90:[2, 11], Operations: ['72-33=39', '39-28=11']
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,90 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,90 unequal: No Solution
Moving to Node #0,4,4
Current State: 90:[39, 30], Operations: ['72-33=39', '2+28=30']
Exploring Operation: 39*30=1170, Resulting Numbers: [1170]
1170,90 unequal: No Solution
Exploring Operation: 39-30=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Exploring Operation: 39+30=69, Resulting Numbers: [69]
69,90 unequal: No Solution
Moving to Node #0,4,1
Current State: 90:[28, 41], Operations: ['72-33=39', '2+39=41']
Exploring Operation: 41-28=13, Resulting Numbers: [13]
13,90 unequal: No Solution
Exploring Operation: 28+41=69, Resulting Numbers: [69]
69,90 unequal: No Solution
Exploring Operation: 28*41=1148, Resulting Numbers: [1148]
1148,90 unequal: No Solution
Moving to Node #0,4,3
Current State: 90:[39, 14], Operations: ['72-33=39', '28/2=14']
Exploring Operation: 39*14=546, Resulting Numbers: [546]
546,90 unequal: No Solution
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,90 unequal: No Solution
Exploring Operation: 39+14=53, Resulting Numbers: [53]
53,90 unequal: No Solution
Moving to Node #0,4,0
Current State: 90:[28, 37], Operations: ['72-33=39', '39-2=37']
Exploring Operation: 28*37=1036, Resulting Numbers: [1036]
1036,90 unequal: No Solution
Exploring Operation: 28+37=65, Resulting Numbers: [65]
65,90 unequal: No Solution
Exploring Operation: 37-28=9, Resulting Numbers: [9]
9,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[33, 28, 36], Operations: ['72/2=36']
Exploring Operation: 33+28=61, Resulting Numbers: [36, 61]
Generated Node #0,0,0: 90:[36, 61] Operation: 33+28=61
Exploring Operation: 36-33=3, Resulting Numbers: [28, 3]
Generated Node #0,0,1: 90:[28, 3] Operation: 36-33=3
Exploring Operation: 36-28=8, Resulting Numbers: [33, 8]
Generated Node #0,0,2: 90:[33, 8] Operation: 36-28=8
Exploring Operation: 28+36=64, Resulting Numbers: [33, 64]
Generated Node #0,0,3: 90:[33, 64] Operation: 28+36=64
Exploring Operation: 33-28=5, Resulting Numbers: [36, 5]
Generated Node #0,0,4: 90:[36, 5] Operation: 33-28=5
Moving to Node #0,0,1
Current State: 90:[28, 3], Operations: ['72/2=36', '36-33=3']
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,90 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,90 unequal: No Solution
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,90 unequal: No Solution
Moving to Node #0,0,2
Current State: 90:[33, 8], Operations: ['72/2=36', '36-28=8']
Exploring Operation: 33*8=264, Resulting Numbers: [264]
264,90 unequal: No Solution
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,90 unequal: No Solution
Exploring Operation: 33+8=41, Resulting Numbers: [41]
41,90 unequal: No Solution
Moving to Node #0,0,4
Current State: 90:[36, 5], Operations: ['72/2=36', '33-28=5']
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,90 unequal: No Solution
Exploring Operation: 36+5=41, Resulting Numbers: [41]
41,90 unequal: No Solution
Exploring Operation: 36*5=180, Resulting Numbers: [180]
180,90 unequal: No Solution
Moving to Node #0,0,0
Current State: 90:[36, 61], Operations: ['72/2=36', '33+28=61']
Exploring Operation: 36*61=2196, Resulting Numbers: [2196]
2196,90 unequal: No Solution
Exploring Operation: 36+61=97, Resulting Numbers: [97]
97,90 unequal: No Solution
Exploring Operation: 61-36=25, Resulting Numbers: [25]
25,90 unequal: No Solution
Moving to Node #0,0,3
Current State: 90:[33, 64], Operations: ['72/2=36', '28+36=64']
Exploring Operation: 33+64=97, Resulting Numbers: [97]
97,90 unequal: No Solution
Exploring Operation: 33*64=2112, Resulting Numbers: [2112]
2112,90 unequal: No Solution
Exploring Operation: 64-33=31, Resulting Numbers: [31]
31,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 90:[2, 33, 100], Operations: ['72+28=100']
Exploring Operation: 100-2=98, Resulting Numbers: [33, 98]
Generated Node #0,2,0: 90:[33, 98] Operation: 100-2=98
Exploring Operation: 2+33=35, Resulting Numbers: [100, 35]
Generated Node #0,2,1: 90:[100, 35] Operation: 2+33=35
Exploring Operation: 33-2=31, Resulting Numbers: [100, 31]
Generated Node #0,2,2: 90:[100, 31] Operation: 33-2=31
Exploring Operation: 100/2=50, Resulting Numbers: [33, 50]
Generated Node #0,2,3: 90:[33, 50] Operation: 100/2=50
Exploring Operation: 2+100=102, Resulting Numbers: [33, 102]
Generated Node #0,2,4: 90:[33, 102] Operation: 2+100=102
Moving to Node #0,2,3
Current State: 90:[33, 50], Operations: ['72+28=100', '100/2=50']
Exploring Operation: 50-33=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 33*50=1650, Resulting Numbers: [1650]
1650,90 unequal: No Solution
Exploring Operation: 33+50=83, Resulting Numbers: [83]
83,90 unequal: No Solution
Moving to Node #0,2,2
Current State: 90:[100, 31], Operations: ['72+28=100', '33-2=31']
Exploring Operation: 100-31=69, Resulting Numbers: [69]
69,90 unequal: No Solution
Exploring Operation: 100*31=3100, Resulting Numbers: [3100]
3100,90 unequal: No Solution
Exploring Operation: 100+31=131, Resulting Numbers: [131]
131,90 unequal: No Solution
Moving to Node #0,2,0
Current State: 90:[33, 98], Operations: ['72+28=100', '100-2=98']
Exploring Operation: 33+98=131, Resulting Numbers: [131]
131,90 unequal: No Solution
Exploring Operation: 98-33=65, Resulting Numbers: [65]
65,90 unequal: No Solution
Exploring Operation: 33*98=3234, Resulting Numbers: [3234]
3234,90 unequal: No Solution
Moving to Node #0,2,1
Current State: 90:[100, 35], Operations: ['72+28=100', '2+33=35']
Exploring Operation: 100+35=135, Resulting Numbers: [135]
135,90 unequal: No Solution
Exploring Operation: 100-35=65, Resulting Numbers: [65]
65,90 unequal: No Solution
Exploring Operation: 100*35=3500, Resulting Numbers: [3500]
3500,90 unequal: No Solution
Moving to Node #0,2,4
Current State: 90:[33, 102], Operations: ['72+28=100', '2+100=102']
Exploring Operation: 33*102=3366, Resulting Numbers: [3366]
3366,90 unequal: No Solution
Exploring Operation: 33+102=135, Resulting Numbers: [135]
135,90 unequal: No Solution
Exploring Operation: 102-33=69, Resulting Numbers: [69]
69,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 90:[2, 28, 105], Operations: ['72+33=105']
Exploring Operation: 2+28=30, Resulting Numbers: [105, 30]
Generated Node #0,3,0: 90:[105, 30] Operation: 2+28=30
Exploring Operation: 105-28=77, Resulting Numbers: [2, 77]
Generated Node #0,3,1: 90:[2, 77] Operation: 105-28=77
Exploring Operation: 105-2=103, Resulting Numbers: [28, 103]
Generated Node #0,3,2: 90:[28, 103] Operation: 105-2=103
Exploring Operation: 28/2=14, Resulting Numbers: [105, 14]
Generated Node #0,3,3: 90:[105, 14] Operation: 28/2=14
Exploring Operation: 28-2=26, Resulting Numbers: [105, 26]
Generated Node #0,3,4: 90:[105, 26] Operation: 28-2=26
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 90:[2, 77], Operations: ['72+33=105', '105-28=77']
Exploring Operation: 2*77=154, Resulting Numbers: [154]
154,90 unequal: No Solution
Exploring Operation: 2+77=79, Resulting Numbers: [79]
79,90 unequal: No Solution
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 90:[105, 30], Operations: ['72+33=105', '2+28=30']
Exploring Operation: 105+30=135, Resulting Numbers: [135]
135,90 unequal: No Solution
Exploring Operation: 105-30=75, Resulting Numbers: [75]
75,90 unequal: No Solution
Exploring Operation: 105*30=3150, Resulting Numbers: [3150]
3150,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 90:[28, 103], Operations: ['72+33=105', '105-2=103']
Exploring Operation: 28*103=2884, Resulting Numbers: [2884]
2884,90 unequal: No Solution
Exploring Operation: 103-28=75, Resulting Numbers: [75]
75,90 unequal: No Solution
Exploring Operation: 28+103=131, Resulting Numbers: [131]
131,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 90:[105, 14], Operations: ['72+33=105', '28/2=14']
Exploring Operation: 105*14=1470, Resulting Numbers: [1470]
1470,90 unequal: No Solution
Exploring Operation: 105-14=91, Resulting Numbers: [91]
91,90 unequal: No Solution
Exploring Operation: 105+14=119, Resulting Numbers: [119]
119,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 90:[105, 26], Operations: ['72+33=105', '28-2=26']
Exploring Operation: 105-26=79, Resulting Numbers: [79]
79,90 unequal: No Solution
Exploring Operation: 105+26=131, Resulting Numbers: [131]
131,90 unequal: No Solution
Exploring Operation: 105*26=2730, Resulting Numbers: [2730]
2730,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
8,
43,
15,
8
] | 43 | [
"15-8=7",
"8-7=1",
"43*1=43"
] | Current State: 43:[8, 43, 15, 8], Operations: []
Exploring Operation: 15-8=7, Resulting Numbers: [43, 7]
Generated Node #2: [43, 7] from Operation: 15-8=7
Current State: 43:[43, 7], Operations: ['15-8=7']
Exploring Operation: 8-7=1, Resulting Numbers: [43, 1]
Generated Node #3: [43, 1] from Operation: 8-7=1
Current State: 43:[43, 1], Operations: ['15-8=7', '8-7=1']
Exploring Operation: 43*1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[8, 43, 15, 8], Operations: []
Exploring Operation: 8*8=64, Resulting Numbers: [43, 15, 64]
Generated Node #0,0: 43:[43, 15, 64] Operation: 8*8=64
Exploring Operation: 8+8=16, Resulting Numbers: [43, 15, 16]
Generated Node #0,1: 43:[43, 15, 16] Operation: 8+8=16
Exploring Operation: 15+8=23, Resulting Numbers: [8, 43, 23]
Generated Node #0,2: 43:[8, 43, 23] Operation: 15+8=23
Exploring Operation: 8+15=23, Resulting Numbers: [43, 8, 23]
Generated Node #0,3: 43:[43, 8, 23] Operation: 8+15=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[43, 15, 64], Operations: ['8*8=64']
Exploring Operation: 64-15=49, Resulting Numbers: [43, 49]
Generated Node #0,0,0: 43:[43, 49] Operation: 64-15=49
Exploring Operation: 15+64=79, Resulting Numbers: [43, 79]
Generated Node #0,0,1: 43:[43, 79] Operation: 15+64=79
Exploring Operation: 43-15=28, Resulting Numbers: [64, 28]
Generated Node #0,0,2: 43:[64, 28] Operation: 43-15=28
Exploring Operation: 43+15=58, Resulting Numbers: [64, 58]
Generated Node #0,0,3: 43:[64, 58] Operation: 43+15=58
Moving to Node #0,0,0
Current State: 43:[43, 49], Operations: ['8*8=64', '64-15=49']
Exploring Operation: 49-43=6, Resulting Numbers: [6]
6,43 unequal: No Solution
Exploring Operation: 43+49=92, Resulting Numbers: [92]
92,43 unequal: No Solution
Exploring Operation: 43*49=2107, Resulting Numbers: [2107]
2107,43 unequal: No Solution
Moving to Node #0,0,2
Current State: 43:[64, 28], Operations: ['8*8=64', '43-15=28']
Exploring Operation: 64-28=36, Resulting Numbers: [36]
36,43 unequal: No Solution
Exploring Operation: 64*28=1792, Resulting Numbers: [1792]
1792,43 unequal: No Solution
Exploring Operation: 64+28=92, Resulting Numbers: [92]
92,43 unequal: No Solution
Moving to Node #0,0,1
Current State: 43:[43, 79], Operations: ['8*8=64', '15+64=79']
Exploring Operation: 43*79=3397, Resulting Numbers: [3397]
3397,43 unequal: No Solution
Exploring Operation: 79-43=36, Resulting Numbers: [36]
36,43 unequal: No Solution
Exploring Operation: 43+79=122, Resulting Numbers: [122]
122,43 unequal: No Solution
Moving to Node #0,0,3
Current State: 43:[64, 58], Operations: ['8*8=64', '43+15=58']
Exploring Operation: 64*58=3712, Resulting Numbers: [3712]
3712,43 unequal: No Solution
Exploring Operation: 64+58=122, Resulting Numbers: [122]
122,43 unequal: No Solution
Exploring Operation: 64-58=6, Resulting Numbers: [6]
6,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 43:[43, 15, 16], Operations: ['8+8=16']
Exploring Operation: 15+16=31, Resulting Numbers: [43, 31]
Generated Node #0,1,0: 43:[43, 31] Operation: 15+16=31
Exploring Operation: 16-15=1, Resulting Numbers: [43, 1]
Generated Node #0,1,1: 43:[43, 1] Operation: 16-15=1
Exploring Operation: 43+15=58, Resulting Numbers: [16, 58]
Generated Node #0,1,2: 43:[16, 58] Operation: 43+15=58
Exploring Operation: 43-15=28, Resulting Numbers: [16, 28]
Generated Node #0,1,3: 43:[16, 28] Operation: 43-15=28
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 43:[43, 31], Operations: ['8+8=16', '15+16=31']
Exploring Operation: 43+31=74, Resulting Numbers: [74]
74,43 unequal: No Solution
Exploring Operation: 43*31=1333, Resulting Numbers: [1333]
1333,43 unequal: No Solution
Exploring Operation: 43-31=12, Resulting Numbers: [12]
12,43 unequal: No Solution
No 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: 43:[43, 1], Operations: ['8+8=16', '16-15=1']
Exploring Operation: 43/1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[8, 43, 15, 8], Operations: []
Exploring Operation: 8+8=16, Resulting Numbers: [43, 15, 16]
Generated Node #0,1: 43:[43, 15, 16] Operation: 8+8=16
Moving to Node #0,1
Current State: 43:[43, 15, 16], Operations: ['8+8=16']
Exploring Operation: 16-15=1, Resulting Numbers: [43, 1]
Generated Node #0,1,1: 43:[43, 1] Operation: 16-15=1
Moving to Node #0,1,1
Current State: 43:[43, 1], Operations: ['8+8=16', '16-15=1']
Exploring Operation: 43/1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.972222 | hs_4 | sum_heuristic |
[
92,
19,
78,
2
] | 83 | [
"92-19=73",
"78*2=156",
"156-73=83"
] | Current State: 83:[92, 19, 78, 2], Operations: []
Exploring Operation: 92-19=73, Resulting Numbers: [78, 2, 73]
Generated Node #2: [78, 2, 73] from Operation: 92-19=73
Current State: 83:[78, 2, 73], Operations: ['92-19=73']
Exploring Operation: 78*2=156, Resulting Numbers: [73, 156]
Generated Node #3: [73, 156] from Operation: 78*2=156
Current State: 83:[73, 156], Operations: ['92-19=73', '78*2=156']
Exploring Operation: 156-73=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[92, 19, 78, 2], Operations: []
Exploring Operation: 19*2=38, Resulting Numbers: [92, 78, 38]
Generated Node #0,0: 83:[92, 78, 38] Operation: 19*2=38
Moving to Node #0,0
Current State: 83:[92, 78, 38], Operations: ['19*2=38']
Exploring Operation: 92-38=54, Resulting Numbers: [78, 54]
Generated Node #0,0,0: 83:[78, 54] Operation: 92-38=54
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 83:[78, 54], Operations: ['19*2=38', '92-38=54']
Exploring Operation: 78+54=132, Resulting Numbers: [132]
132,83 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 |
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