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 |
|---|---|---|---|---|---|---|---|---|
[
28,
77,
23,
72
] | 56 | [
"28+77=105",
"72-23=49",
"105-49=56"
] | Current State: 56:[28, 77, 23, 72], Operations: []
Exploring Operation: 28+77=105, Resulting Numbers: [23, 72, 105]
Generated Node #2: [23, 72, 105] from Operation: 28+77=105
Current State: 56:[23, 72, 105], Operations: ['28+77=105']
Exploring Operation: 72-23=49, Resulting Numbers: [105, 49]
Generated Node #3: [105, 49] from Operation: 72-23=49
Current State: 56:[105, 49], Operations: ['28+77=105', '72-23=49']
Exploring Operation: 105-49=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[28, 77, 23, 72], Operations: []
Exploring Operation: 72-23=49, Resulting Numbers: [28, 77, 49]
Generated Node #0,0: 56:[28, 77, 49] Operation: 72-23=49
Exploring Operation: 77-72=5, Resulting Numbers: [28, 23, 5]
Generated Node #0,1: 56:[28, 23, 5] Operation: 77-72=5
Exploring Operation: 77-23=54, Resulting Numbers: [28, 72, 54]
Generated Node #0,2: 56:[28, 72, 54] Operation: 77-23=54
Exploring Operation: 77-28=49, Resulting Numbers: [23, 72, 49]
Generated Node #0,3: 56:[23, 72, 49] Operation: 77-28=49
Start Sub Search at level 1: Moving to Node #0,1
Current State: 56:[28, 23, 5], Operations: ['77-72=5']
Exploring Operation: 28-23=5, Resulting Numbers: [5, 5]
Generated Node #0,1,0: 56:[5, 5] Operation: 28-23=5
Exploring Operation: 28+23=51, Resulting Numbers: [5, 51]
Generated Node #0,1,1: 56:[5, 51] Operation: 28+23=51
Exploring Operation: 23+5=28, Resulting Numbers: [28, 28]
Generated Node #0,1,2: 56:[28, 28] Operation: 23+5=28
Exploring Operation: 23-5=18, Resulting Numbers: [28, 18]
Generated Node #0,1,3: 56:[28, 18] Operation: 23-5=18
Moving to Node #0,1,2
Current State: 56:[28, 28], Operations: ['77-72=5', '23+5=28']
Exploring Operation: 28*28=784, Resulting Numbers: [784]
784,56 unequal: No Solution
Exploring Operation: 28/28=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 28+28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[28, 77, 23, 72], Operations: []
Exploring Operation: 77-72=5, Resulting Numbers: [28, 23, 5]
Generated Node #0,1: 56:[28, 23, 5] Operation: 77-72=5
Moving to Node #0,1
Current State: 56:[28, 23, 5], Operations: ['77-72=5']
Exploring Operation: 23+5=28, Resulting Numbers: [28, 28]
Generated Node #0,1,2: 56:[28, 28] Operation: 23+5=28
Moving to Node #0,1,2
Current State: 56:[28, 28], Operations: ['77-72=5', '23+5=28']
Exploring Operation: 28+28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
6,
55,
85,
64
] | 31 | [
"64-55=9",
"6*9=54",
"85-54=31"
] | Current State: 31:[6, 55, 85, 64], Operations: []
Exploring Operation: 64-55=9, Resulting Numbers: [6, 85, 9]
Generated Node #2: [6, 85, 9] from Operation: 64-55=9
Current State: 31:[6, 85, 9], Operations: ['64-55=9']
Exploring Operation: 6*9=54, Resulting Numbers: [85, 54]
Generated Node #3: [85, 54] from Operation: 6*9=54
Current State: 31:[85, 54], Operations: ['64-55=9', '6*9=54']
Exploring Operation: 85-54=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[6, 55, 85, 64], Operations: []
Exploring Operation: 85-55=30, Resulting Numbers: [6, 64, 30]
Generated Node #0,0: 31:[6, 64, 30] Operation: 85-55=30
Moving to Node #0,0
Current State: 31:[6, 64, 30], Operations: ['85-55=30']
Exploring Operation: 64-6=58, Resulting Numbers: [30, 58]
Generated Node #0,0,0: 31:[30, 58] Operation: 64-6=58
Moving to Node #0,0,0
Current State: 31:[30, 58], Operations: ['85-55=30', '64-6=58']
Exploring Operation: 58-30=28, Resulting Numbers: [28]
28,31 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
12,
8,
78,
8
] | 65 | [
"78-12=66",
"8/8=1",
"66-1=65"
] | Current State: 65:[12, 8, 78, 8], Operations: []
Exploring Operation: 78-12=66, Resulting Numbers: [8, 8, 66]
Generated Node #2: [8, 8, 66] from Operation: 78-12=66
Current State: 65:[8, 8, 66], Operations: ['78-12=66']
Exploring Operation: 8/8=1, Resulting Numbers: [66, 1]
Generated Node #3: [66, 1] from Operation: 8/8=1
Current State: 65:[66, 1], Operations: ['78-12=66', '8/8=1']
Exploring Operation: 66-1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[12, 8, 78, 8], Operations: []
Exploring Operation: 78-8=70, Resulting Numbers: [12, 8, 70]
Generated Node #0,0: 65:[12, 8, 70] Operation: 78-8=70
Exploring Operation: 8*8=64, Resulting Numbers: [12, 78, 64]
Generated Node #0,1: 65:[12, 78, 64] Operation: 8*8=64
Exploring Operation: 78-12=66, Resulting Numbers: [8, 8, 66]
Generated Node #0,2: 65:[8, 8, 66] Operation: 78-12=66
Exploring Operation: 12-8=4, Resulting Numbers: [78, 8, 4]
Generated Node #0,3: 65:[78, 8, 4] Operation: 12-8=4
Exploring Operation: 78-8=70, Resulting Numbers: [12, 8, 70]
Generated Node #0,4: 65:[12, 8, 70] Operation: 78-8=70
Start Sub Search at level 1: Moving to Node #0,2
Current State: 65:[8, 8, 66], Operations: ['78-12=66']
Exploring Operation: 8*8=64, Resulting Numbers: [66, 64]
Generated Node #0,2,0: 65:[66, 64] Operation: 8*8=64
Exploring Operation: 66-8=58, Resulting Numbers: [8, 58]
Generated Node #0,2,1: 65:[8, 58] Operation: 66-8=58
Exploring Operation: 8-8=0, Resulting Numbers: [66, 0]
Generated Node #0,2,2: 65:[66, 0] Operation: 8-8=0
Exploring Operation: 8+8=16, Resulting Numbers: [66, 16]
Generated Node #0,2,3: 65:[66, 16] Operation: 8+8=16
Exploring Operation: 8/8=1, Resulting Numbers: [66, 1]
Generated Node #0,2,4: 65:[66, 1] Operation: 8/8=1
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 65:[66, 64], Operations: ['78-12=66', '8*8=64']
Exploring Operation: 66-64=2, Resulting Numbers: [2]
2,65 unequal: No Solution
Exploring Operation: 66+64=130, Resulting Numbers: [130]
130,65 unequal: No Solution
Exploring Operation: 66*64=4224, Resulting Numbers: [4224]
4224,65 unequal: No Solution
No 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: 65:[66, 16], Operations: ['78-12=66', '8+8=16']
Exploring Operation: 66-16=50, Resulting Numbers: [50]
50,65 unequal: No Solution
Exploring Operation: 66*16=1056, Resulting Numbers: [1056]
1056,65 unequal: No Solution
Exploring Operation: 66+16=82, Resulting Numbers: [82]
82,65 unequal: No Solution
No 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: 65:[66, 1], Operations: ['78-12=66', '8/8=1']
Exploring Operation: 66*1=66, Resulting Numbers: [66]
66,65 unequal: No Solution
Exploring Operation: 66+1=67, Resulting Numbers: [67]
67,65 unequal: No Solution
Exploring Operation: 66-1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[12, 8, 78, 8], Operations: []
Exploring Operation: 78-12=66, Resulting Numbers: [8, 8, 66]
Generated Node #0,2: 65:[8, 8, 66] Operation: 78-12=66
Moving to Node #0,2
Current State: 65:[8, 8, 66], Operations: ['78-12=66']
Exploring Operation: 8/8=1, Resulting Numbers: [66, 1]
Generated Node #0,2,4: 65:[66, 1] Operation: 8/8=1
Moving to Node #0,2,4
Current State: 65:[66, 1], Operations: ['78-12=66', '8/8=1']
Exploring Operation: 66-1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
80,
18,
6,
30
] | 62 | [
"80+18=98",
"6+30=36",
"98-36=62"
] | Current State: 62:[80, 18, 6, 30], Operations: []
Exploring Operation: 80+18=98, Resulting Numbers: [6, 30, 98]
Generated Node #2: [6, 30, 98] from Operation: 80+18=98
Current State: 62:[6, 30, 98], Operations: ['80+18=98']
Exploring Operation: 6+30=36, Resulting Numbers: [98, 36]
Generated Node #3: [98, 36] from Operation: 6+30=36
Current State: 62:[98, 36], Operations: ['80+18=98', '6+30=36']
Exploring Operation: 98-36=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[80, 18, 6, 30], Operations: []
Exploring Operation: 80-30=50, Resulting Numbers: [18, 6, 50]
Generated Node #0,0: 62:[18, 6, 50] Operation: 80-30=50
Exploring Operation: 80-6=74, Resulting Numbers: [18, 30, 74]
Generated Node #0,1: 62:[18, 30, 74] Operation: 80-6=74
Exploring Operation: 80-18=62, Resulting Numbers: [6, 30, 62]
Generated Node #0,2: 62:[6, 30, 62] Operation: 80-18=62
Exploring Operation: 18/6=3, Resulting Numbers: [80, 30, 3]
Generated Node #0,3: 62:[80, 30, 3] Operation: 18/6=3
Exploring Operation: 18+6=24, Resulting Numbers: [80, 30, 24]
Generated Node #0,4: 62:[80, 30, 24] Operation: 18+6=24
Moving to Node #0,2
Current State: 62:[6, 30, 62], Operations: ['80-18=62']
Exploring Operation: 62-30=32, Resulting Numbers: [6, 32]
Generated Node #0,2,0: 62:[6, 32] Operation: 62-30=32
Exploring Operation: 6+62=68, Resulting Numbers: [30, 68]
Generated Node #0,2,1: 62:[30, 68] Operation: 6+62=68
Exploring Operation: 30-6=24, Resulting Numbers: [62, 24]
Generated Node #0,2,2: 62:[62, 24] Operation: 30-6=24
Exploring Operation: 30/6=5, Resulting Numbers: [62, 5]
Generated Node #0,2,3: 62:[62, 5] Operation: 30/6=5
Exploring Operation: 6+30=36, Resulting Numbers: [62, 36]
Generated Node #0,2,4: 62:[62, 36] Operation: 6+30=36
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 62:[62, 5], Operations: ['80-18=62', '30/6=5']
Exploring Operation: 62*5=310, Resulting Numbers: [310]
310,62 unequal: No Solution
Exploring Operation: 62+5=67, Resulting Numbers: [67]
67,62 unequal: No Solution
Exploring Operation: 62-5=57, Resulting Numbers: [57]
57,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 62:[6, 32], Operations: ['80-18=62', '62-30=32']
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,62 unequal: No Solution
Exploring Operation: 6*32=192, Resulting Numbers: [192]
192,62 unequal: No Solution
Exploring Operation: 6+32=38, Resulting Numbers: [38]
38,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 62:[62, 36], Operations: ['80-18=62', '6+30=36']
Exploring Operation: 62-36=26, Resulting Numbers: [26]
26,62 unequal: No Solution
Exploring Operation: 62+36=98, Resulting Numbers: [98]
98,62 unequal: No Solution
Exploring Operation: 62*36=2232, Resulting Numbers: [2232]
2232,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 62:[30, 68], Operations: ['80-18=62', '6+62=68']
Exploring Operation: 30*68=2040, Resulting Numbers: [2040]
2040,62 unequal: No Solution
Exploring Operation: 30+68=98, Resulting Numbers: [98]
98,62 unequal: No Solution
Exploring Operation: 68-30=38, Resulting Numbers: [38]
38,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 62:[62, 24], Operations: ['80-18=62', '30-6=24']
Exploring Operation: 62+24=86, Resulting Numbers: [86]
86,62 unequal: No Solution
Exploring Operation: 62*24=1488, Resulting Numbers: [1488]
1488,62 unequal: No Solution
Exploring Operation: 62-24=38, Resulting Numbers: [38]
38,62 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: 62:[80, 30, 3], Operations: ['18/6=3']
Exploring Operation: 30+3=33, Resulting Numbers: [80, 33]
Generated Node #0,3,0: 62:[80, 33] Operation: 30+3=33
Exploring Operation: 80+3=83, Resulting Numbers: [30, 83]
Generated Node #0,3,1: 62:[30, 83] Operation: 80+3=83
Exploring Operation: 80-30=50, Resulting Numbers: [3, 50]
Generated Node #0,3,2: 62:[3, 50] Operation: 80-30=50
Exploring Operation: 80-3=77, Resulting Numbers: [30, 77]
Generated Node #0,3,3: 62:[30, 77] Operation: 80-3=77
Exploring Operation: 30-3=27, Resulting Numbers: [80, 27]
Generated Node #0,3,4: 62:[80, 27] Operation: 30-3=27
Moving to Node #0,1
Current State: 62:[18, 30, 74], Operations: ['80-6=74']
Exploring Operation: 18+30=48, Resulting Numbers: [74, 48]
Generated Node #0,1,0: 62:[74, 48] Operation: 18+30=48
Exploring Operation: 30-18=12, Resulting Numbers: [74, 12]
Generated Node #0,1,1: 62:[74, 12] Operation: 30-18=12
Exploring Operation: 74-18=56, Resulting Numbers: [30, 56]
Generated Node #0,1,2: 62:[30, 56] Operation: 74-18=56
Exploring Operation: 74-30=44, Resulting Numbers: [18, 44]
Generated Node #0,1,3: 62:[18, 44] Operation: 74-30=44
Exploring Operation: 18+74=92, Resulting Numbers: [30, 92]
Generated Node #0,1,4: 62:[30, 92] Operation: 18+74=92
Moving to Node #0,4
Current State: 62:[80, 30, 24], Operations: ['18+6=24']
Exploring Operation: 80-30=50, Resulting Numbers: [24, 50]
Generated Node #0,4,0: 62:[24, 50] Operation: 80-30=50
Exploring Operation: 80+24=104, Resulting Numbers: [30, 104]
Generated Node #0,4,1: 62:[30, 104] Operation: 80+24=104
Exploring Operation: 30-24=6, Resulting Numbers: [80, 6]
Generated Node #0,4,2: 62:[80, 6] Operation: 30-24=6
Exploring Operation: 30+24=54, Resulting Numbers: [80, 54]
Generated Node #0,4,3: 62:[80, 54] Operation: 30+24=54
Exploring Operation: 80-24=56, Resulting Numbers: [30, 56]
Generated Node #0,4,4: 62:[30, 56] Operation: 80-24=56
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 62:[30, 56], Operations: ['18+6=24', '80-24=56']
Exploring Operation: 30*56=1680, Resulting Numbers: [1680]
1680,62 unequal: No Solution
Exploring Operation: 30+56=86, Resulting Numbers: [86]
86,62 unequal: No Solution
Exploring Operation: 56-30=26, Resulting Numbers: [26]
26,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 62:[24, 50], Operations: ['18+6=24', '80-30=50']
Exploring Operation: 24+50=74, Resulting Numbers: [74]
74,62 unequal: No Solution
Exploring Operation: 50-24=26, Resulting Numbers: [26]
26,62 unequal: No Solution
Exploring Operation: 24*50=1200, Resulting Numbers: [1200]
1200,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 62:[80, 6], Operations: ['18+6=24', '30-24=6']
Exploring Operation: 80*6=480, Resulting Numbers: [480]
480,62 unequal: No Solution
Exploring Operation: 80+6=86, Resulting Numbers: [86]
86,62 unequal: No Solution
Exploring Operation: 80-6=74, Resulting Numbers: [74]
74,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 62:[80, 54], Operations: ['18+6=24', '30+24=54']
Exploring Operation: 80-54=26, Resulting Numbers: [26]
26,62 unequal: No Solution
Exploring Operation: 80*54=4320, Resulting Numbers: [4320]
4320,62 unequal: No Solution
Exploring Operation: 80+54=134, Resulting Numbers: [134]
134,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 62:[30, 104], Operations: ['18+6=24', '80+24=104']
Exploring Operation: 30*104=3120, Resulting Numbers: [3120]
3120,62 unequal: No Solution
Exploring Operation: 104-30=74, Resulting Numbers: [74]
74,62 unequal: No Solution
Exploring Operation: 30+104=134, Resulting Numbers: [134]
134,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 62:[18, 6, 50], Operations: ['80-30=50']
Exploring Operation: 50-18=32, Resulting Numbers: [6, 32]
Generated Node #0,0,0: 62:[6, 32] Operation: 50-18=32
Exploring Operation: 18/6=3, Resulting Numbers: [50, 3]
Generated Node #0,0,1: 62:[50, 3] Operation: 18/6=3
Exploring Operation: 6+50=56, Resulting Numbers: [18, 56]
Generated Node #0,0,2: 62:[18, 56] Operation: 6+50=56
Exploring Operation: 18+6=24, Resulting Numbers: [50, 24]
Generated Node #0,0,3: 62:[50, 24] Operation: 18+6=24
Exploring Operation: 18+50=68, Resulting Numbers: [6, 68]
Generated Node #0,0,4: 62:[6, 68] Operation: 18+50=68
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 62:[6, 32], Operations: ['80-30=50', '50-18=32']
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,62 unequal: No Solution
Exploring Operation: 6+32=38, Resulting Numbers: [38]
38,62 unequal: No Solution
Exploring Operation: 6*32=192, Resulting Numbers: [192]
192,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 62:[6, 68], Operations: ['80-30=50', '18+50=68']
Exploring Operation: 6*68=408, Resulting Numbers: [408]
408,62 unequal: No Solution
Exploring Operation: 68-6=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[80, 18, 6, 30], Operations: []
Exploring Operation: 80-30=50, Resulting Numbers: [18, 6, 50]
Generated Node #0,0: 62:[18, 6, 50] Operation: 80-30=50
Moving to Node #0,0
Current State: 62:[18, 6, 50], Operations: ['80-30=50']
Exploring Operation: 18+50=68, Resulting Numbers: [6, 68]
Generated Node #0,0,4: 62:[6, 68] Operation: 18+50=68
Moving to Node #0,0,4
Current State: 62:[6, 68], Operations: ['80-30=50', '18+50=68']
Exploring Operation: 68-6=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.940104 | hs_5 | sum_heuristic |
[
5,
37,
4,
97
] | 14 | [
"97-5=92",
"92/4=23",
"37-23=14"
] | Current State: 14:[5, 37, 4, 97], Operations: []
Exploring Operation: 97-5=92, Resulting Numbers: [37, 4, 92]
Generated Node #2: [37, 4, 92] from Operation: 97-5=92
Current State: 14:[37, 4, 92], Operations: ['97-5=92']
Exploring Operation: 92/4=23, Resulting Numbers: [37, 23]
Generated Node #3: [37, 23] from Operation: 92/4=23
Current State: 14:[37, 23], Operations: ['97-5=92', '92/4=23']
Exploring Operation: 37-23=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[5, 37, 4, 97], Operations: []
Exploring Operation: 97-5=92, Resulting Numbers: [37, 4, 92]
Generated Node #0,0: 14:[37, 4, 92] Operation: 97-5=92
Exploring Operation: 37-5=32, Resulting Numbers: [4, 97, 32]
Generated Node #0,1: 14:[4, 97, 32] Operation: 37-5=32
Exploring Operation: 97-37=60, Resulting Numbers: [5, 4, 60]
Generated Node #0,2: 14:[5, 4, 60] Operation: 97-37=60
Moving to Node #0,2
Current State: 14:[5, 4, 60], Operations: ['97-37=60']
Exploring Operation: 60/5=12, Resulting Numbers: [4, 12]
Generated Node #0,2,0: 14:[4, 12] Operation: 60/5=12
Exploring Operation: 60-5=55, Resulting Numbers: [4, 55]
Generated Node #0,2,1: 14:[4, 55] Operation: 60-5=55
Exploring Operation: 60/4=15, Resulting Numbers: [5, 15]
Generated Node #0,2,2: 14:[5, 15] Operation: 60/4=15
Moving to Node #0,0
Current State: 14:[37, 4, 92], Operations: ['97-5=92']
Exploring Operation: 92-37=55, Resulting Numbers: [4, 55]
Generated Node #0,0,0: 14:[4, 55] Operation: 92-37=55
Exploring Operation: 92/4=23, Resulting Numbers: [37, 23]
Generated Node #0,0,1: 14:[37, 23] Operation: 92/4=23
Exploring Operation: 37-4=33, Resulting Numbers: [92, 33]
Generated Node #0,0,2: 14:[92, 33] Operation: 37-4=33
Moving to Node #0,1
Current State: 14:[4, 97, 32], Operations: ['37-5=32']
Exploring Operation: 97-32=65, Resulting Numbers: [4, 65]
Generated Node #0,1,0: 14:[4, 65] Operation: 97-32=65
Exploring Operation: 97-4=93, Resulting Numbers: [32, 93]
Generated Node #0,1,1: 14:[32, 93] Operation: 97-4=93
Exploring Operation: 32/4=8, Resulting Numbers: [97, 8]
Generated Node #0,1,2: 14:[97, 8] Operation: 32/4=8
Moving to Node #0,2,2
Current State: 14:[5, 15], Operations: ['97-37=60', '60/4=15']
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,14 unequal: No Solution
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,14 unequal: No Solution
Exploring Operation: 5+15=20, Resulting Numbers: [20]
20,14 unequal: No Solution
Moving to Node #0,2,0
Current State: 14:[4, 12], Operations: ['97-37=60', '60/5=12']
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,14 unequal: No Solution
Exploring Operation: 12-4=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Exploring Operation: 4+12=16, Resulting Numbers: [16]
16,14 unequal: No Solution
Moving to Node #0,0,1
Current State: 14:[37, 23], Operations: ['97-5=92', '92/4=23']
Exploring Operation: 37+23=60, Resulting Numbers: [60]
60,14 unequal: No Solution
Exploring Operation: 37*23=851, Resulting Numbers: [851]
851,14 unequal: No Solution
Exploring Operation: 37-23=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[5, 37, 4, 97], Operations: []
Exploring Operation: 97-5=92, Resulting Numbers: [37, 4, 92]
Generated Node #0,0: 14:[37, 4, 92] Operation: 97-5=92
Moving to Node #0,0
Current State: 14:[37, 4, 92], Operations: ['97-5=92']
Exploring Operation: 92/4=23, Resulting Numbers: [37, 23]
Generated Node #0,0,1: 14:[37, 23] Operation: 92/4=23
Moving to Node #0,0,1
Current State: 14:[37, 23], Operations: ['97-5=92', '92/4=23']
Exploring Operation: 37-23=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 0.978299 | hs_3 | sum_heuristic |
[
81,
27,
18,
9
] | 34 | [
"81-18=63",
"63/9=7",
"27+7=34"
] | Current State: 34:[81, 27, 18, 9], Operations: []
Exploring Operation: 81-18=63, Resulting Numbers: [27, 9, 63]
Generated Node #2: [27, 9, 63] from Operation: 81-18=63
Current State: 34:[27, 9, 63], Operations: ['81-18=63']
Exploring Operation: 63/9=7, Resulting Numbers: [27, 7]
Generated Node #3: [27, 7] from Operation: 63/9=7
Current State: 34:[27, 7], Operations: ['81-18=63', '63/9=7']
Exploring Operation: 27+7=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[81, 27, 18, 9], Operations: []
Exploring Operation: 81-27=54, Resulting Numbers: [18, 9, 54]
Generated Node #0,0: 34:[18, 9, 54] Operation: 81-27=54
Exploring Operation: 81/27=3, Resulting Numbers: [18, 9, 3]
Generated Node #0,1: 34:[18, 9, 3] Operation: 81/27=3
Exploring Operation: 81/9=9, Resulting Numbers: [27, 18, 9]
Generated Node #0,2: 34:[27, 18, 9] Operation: 81/9=9
Start Sub Search at level 1: Moving to Node #0,1
Current State: 34:[18, 9, 3], Operations: ['81/27=3']
Exploring Operation: 9-3=6, Resulting Numbers: [18, 6]
Generated Node #0,1,0: 34:[18, 6] Operation: 9-3=6
Exploring Operation: 18/9=2, Resulting Numbers: [3, 2]
Generated Node #0,1,1: 34:[3, 2] Operation: 18/9=2
Exploring Operation: 9/3=3, Resulting Numbers: [18, 3]
Generated Node #0,1,2: 34:[18, 3] Operation: 9/3=3
Moving to Node #0,1,1
Current State: 34:[3, 2], Operations: ['81/27=3', '18/9=2']
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,34 unequal: No Solution
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,34 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,34 unequal: No Solution
Moving to Node #0,1,2
Current State: 34:[18, 3], Operations: ['81/27=3', '9/3=3']
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,34 unequal: No Solution
Exploring Operation: 18+3=21, Resulting Numbers: [21]
21,34 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,34 unequal: No Solution
Moving to Node #0,1,0
Current State: 34:[18, 6], Operations: ['81/27=3', '9-3=6']
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Exploring Operation: 18/6=3, Resulting Numbers: [3]
3,34 unequal: No Solution
Exploring Operation: 18+6=24, Resulting Numbers: [24]
24,34 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 #0,2
Current State: 34:[27, 18, 9], Operations: ['81/9=9']
Exploring Operation: 27-9=18, Resulting Numbers: [18, 18]
Generated Node #0,2,0: 34:[18, 18] Operation: 27-9=18
Exploring Operation: 27+9=36, Resulting Numbers: [18, 36]
Generated Node #0,2,1: 34:[18, 36] Operation: 27+9=36
Exploring Operation: 27/9=3, Resulting Numbers: [18, 3]
Generated Node #0,2,2: 34:[18, 3] Operation: 27/9=3
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 34:[18, 18], Operations: ['81/9=9', '27-9=18']
Exploring Operation: 18-18=0, Resulting Numbers: [0]
0,34 unequal: No Solution
Exploring Operation: 18+18=36, Resulting Numbers: [36]
36,34 unequal: No Solution
Exploring Operation: 18/18=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 #0,2,2
Current State: 34:[18, 3], Operations: ['81/9=9', '27/9=3']
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,34 unequal: No Solution
Exploring Operation: 18+3=21, Resulting Numbers: [21]
21,34 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,34 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 #0,2,1
Current State: 34:[18, 36], Operations: ['81/9=9', '27+9=36']
Exploring Operation: 36-18=18, Resulting Numbers: [18]
18,34 unequal: No Solution
Exploring Operation: 18+36=54, Resulting Numbers: [54]
54,34 unequal: No Solution
Exploring Operation: 36/18=2, Resulting Numbers: [2]
2,34 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 #0,0
Current State: 34:[18, 9, 54], Operations: ['81-27=54']
Exploring Operation: 54-18=36, Resulting Numbers: [9, 36]
Generated Node #0,0,0: 34:[9, 36] Operation: 54-18=36
Exploring Operation: 54/18=3, Resulting Numbers: [9, 3]
Generated Node #0,0,1: 34:[9, 3] Operation: 54/18=3
Exploring Operation: 54/9=6, Resulting Numbers: [18, 6]
Generated Node #0,0,2: 34:[18, 6] Operation: 54/9=6
Moving to Node #0,0,2
Current State: 34:[18, 6], Operations: ['81-27=54', '54/9=6']
Exploring Operation: 18+6=24, Resulting Numbers: [24]
24,34 unequal: No Solution
Exploring Operation: 18/6=3, Resulting Numbers: [3]
3,34 unequal: No Solution
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Moving to Node #0,0,1
Current State: 34:[9, 3], Operations: ['81-27=54', '54/18=3']
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,34 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,34 unequal: No Solution
Moving to Node #0,0,0
Current State: 34:[9, 36], Operations: ['81-27=54', '54-18=36']
Exploring Operation: 36/9=4, Resulting Numbers: [4]
4,34 unequal: No Solution
Exploring Operation: 36-9=27, Resulting Numbers: [27]
27,34 unequal: No Solution
Exploring Operation: 9+36=45, Resulting Numbers: [45]
45,34 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 |
[
34,
65,
86,
8
] | 63 | [
"65-34=31",
"86+8=94",
"94-31=63"
] | Current State: 63:[34, 65, 86, 8], Operations: []
Exploring Operation: 65-34=31, Resulting Numbers: [86, 8, 31]
Generated Node #2: [86, 8, 31] from Operation: 65-34=31
Current State: 63:[86, 8, 31], Operations: ['65-34=31']
Exploring Operation: 86+8=94, Resulting Numbers: [31, 94]
Generated Node #3: [31, 94] from Operation: 86+8=94
Current State: 63:[31, 94], Operations: ['65-34=31', '86+8=94']
Exploring Operation: 94-31=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[34, 65, 86, 8], Operations: []
Exploring Operation: 34-8=26, Resulting Numbers: [65, 86, 26]
Generated Node #0,0: 63:[65, 86, 26] Operation: 34-8=26
Exploring Operation: 86-65=21, Resulting Numbers: [34, 8, 21]
Generated Node #0,1: 63:[34, 8, 21] Operation: 86-65=21
Exploring Operation: 86-8=78, Resulting Numbers: [34, 65, 78]
Generated Node #0,2: 63:[34, 65, 78] Operation: 86-8=78
Exploring Operation: 86-34=52, Resulting Numbers: [65, 8, 52]
Generated Node #0,3: 63:[65, 8, 52] Operation: 86-34=52
Start Sub Search at level 1: Moving to Node #0,1
Current State: 63:[34, 8, 21], Operations: ['86-65=21']
Exploring Operation: 34+21=55, Resulting Numbers: [8, 55]
Generated Node #0,1,0: 63:[8, 55] Operation: 34+21=55
Exploring Operation: 34-8=26, Resulting Numbers: [21, 26]
Generated Node #0,1,1: 63:[21, 26] Operation: 34-8=26
Exploring Operation: 34-21=13, Resulting Numbers: [8, 13]
Generated Node #0,1,2: 63:[8, 13] Operation: 34-21=13
Exploring Operation: 21-8=13, Resulting Numbers: [34, 13]
Generated Node #0,1,3: 63:[34, 13] Operation: 21-8=13
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 63:[21, 26], Operations: ['86-65=21', '34-8=26']
Exploring Operation: 21+26=47, Resulting Numbers: [47]
47,63 unequal: No Solution
Exploring Operation: 26-21=5, Resulting Numbers: [5]
5,63 unequal: No Solution
Exploring Operation: 21*26=546, Resulting Numbers: [546]
546,63 unequal: No Solution
No 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: 63:[8, 13], Operations: ['86-65=21', '34-21=13']
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,63 unequal: No Solution
Exploring Operation: 8*13=104, Resulting Numbers: [104]
104,63 unequal: No Solution
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,63 unequal: No Solution
No 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: 63:[8, 55], Operations: ['86-65=21', '34+21=55']
Exploring Operation: 8+55=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[34, 65, 86, 8], Operations: []
Exploring Operation: 86-65=21, Resulting Numbers: [34, 8, 21]
Generated Node #0,1: 63:[34, 8, 21] Operation: 86-65=21
Moving to Node #0,1
Current State: 63:[34, 8, 21], Operations: ['86-65=21']
Exploring Operation: 34+21=55, Resulting Numbers: [8, 55]
Generated Node #0,1,0: 63:[8, 55] Operation: 34+21=55
Moving to Node #0,1,0
Current State: 63:[8, 55], Operations: ['86-65=21', '34+21=55']
Exploring Operation: 8+55=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_4 | sum_heuristic |
[
73,
48,
71,
24
] | 74 | [
"73+48=121",
"71-24=47",
"121-47=74"
] | Current State: 74:[73, 48, 71, 24], Operations: []
Exploring Operation: 73+48=121, Resulting Numbers: [71, 24, 121]
Generated Node #2: [71, 24, 121] from Operation: 73+48=121
Current State: 74:[71, 24, 121], Operations: ['73+48=121']
Exploring Operation: 71-24=47, Resulting Numbers: [121, 47]
Generated Node #3: [121, 47] from Operation: 71-24=47
Current State: 74:[121, 47], Operations: ['73+48=121', '71-24=47']
Exploring Operation: 121-47=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[73, 48, 71, 24], Operations: []
Exploring Operation: 48/24=2, Resulting Numbers: [73, 71, 2]
Generated Node #0,0: 74:[73, 71, 2] Operation: 48/24=2
Moving to Node #0,0
Current State: 74:[73, 71, 2], Operations: ['48/24=2']
Exploring Operation: 73-71=2, Resulting Numbers: [2, 2]
Generated Node #0,0,0: 74:[2, 2] Operation: 73-71=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 74:[2, 2], Operations: ['48/24=2', '73-71=2']
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
66,
86,
77,
17
] | 80 | [
"86-66=20",
"77-17=60",
"20+60=80"
] | Current State: 80:[66, 86, 77, 17], Operations: []
Exploring Operation: 86-66=20, Resulting Numbers: [77, 17, 20]
Generated Node #2: [77, 17, 20] from Operation: 86-66=20
Current State: 80:[77, 17, 20], Operations: ['86-66=20']
Exploring Operation: 77-17=60, Resulting Numbers: [20, 60]
Generated Node #3: [20, 60] from Operation: 77-17=60
Current State: 80:[20, 60], Operations: ['86-66=20', '77-17=60']
Exploring Operation: 20+60=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[66, 86, 77, 17], Operations: []
Exploring Operation: 86-66=20, Resulting Numbers: [77, 17, 20]
Generated Node #0,0: 80:[77, 17, 20] Operation: 86-66=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[77, 17, 20], Operations: ['86-66=20']
Exploring Operation: 20-17=3, Resulting Numbers: [77, 3]
Generated Node #0,0,0: 80:[77, 3] Operation: 20-17=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 80:[77, 3], Operations: ['86-66=20', '20-17=3']
Exploring Operation: 77+3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[66, 86, 77, 17], Operations: []
Exploring Operation: 86-66=20, Resulting Numbers: [77, 17, 20]
Generated Node #0,0: 80:[77, 17, 20] Operation: 86-66=20
Moving to Node #0,0
Current State: 80:[77, 17, 20], Operations: ['86-66=20']
Exploring Operation: 20-17=3, Resulting Numbers: [77, 3]
Generated Node #0,0,0: 80:[77, 3] Operation: 20-17=3
Moving to Node #0,0,0
Current State: 80:[77, 3], Operations: ['86-66=20', '20-17=3']
Exploring Operation: 77+3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
49,
64,
23,
53
] | 61 | [
"64-49=15",
"23+53=76",
"76-15=61"
] | Current State: 61:[49, 64, 23, 53], Operations: []
Exploring Operation: 64-49=15, Resulting Numbers: [23, 53, 15]
Generated Node #2: [23, 53, 15] from Operation: 64-49=15
Current State: 61:[23, 53, 15], Operations: ['64-49=15']
Exploring Operation: 23+53=76, Resulting Numbers: [15, 76]
Generated Node #3: [15, 76] from Operation: 23+53=76
Current State: 61:[15, 76], Operations: ['64-49=15', '23+53=76']
Exploring Operation: 76-15=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[49, 64, 23, 53], Operations: []
Exploring Operation: 49+23=72, Resulting Numbers: [64, 53, 72]
Generated Node #0,0: 61:[64, 53, 72] Operation: 49+23=72
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[64, 53, 72], Operations: ['49+23=72']
Exploring Operation: 72-53=19, Resulting Numbers: [64, 19]
Generated Node #0,0,0: 61:[64, 19] Operation: 72-53=19
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 61:[64, 19], Operations: ['49+23=72', '72-53=19']
Exploring Operation: 64-19=45, Resulting Numbers: [45]
45,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
84,
53,
32,
14
] | 27 | [
"84/14=6",
"53-32=21",
"6+21=27"
] | Current State: 27:[84, 53, 32, 14], Operations: []
Exploring Operation: 84/14=6, Resulting Numbers: [53, 32, 6]
Generated Node #2: [53, 32, 6] from Operation: 84/14=6
Current State: 27:[53, 32, 6], Operations: ['84/14=6']
Exploring Operation: 53-32=21, Resulting Numbers: [6, 21]
Generated Node #3: [6, 21] from Operation: 53-32=21
Current State: 27:[6, 21], Operations: ['84/14=6', '53-32=21']
Exploring Operation: 6+21=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[84, 53, 32, 14], Operations: []
Exploring Operation: 84-32=52, Resulting Numbers: [53, 14, 52]
Generated Node #0,0: 27:[53, 14, 52] Operation: 84-32=52
Exploring Operation: 84-53=31, Resulting Numbers: [32, 14, 31]
Generated Node #0,1: 27:[32, 14, 31] Operation: 84-53=31
Exploring Operation: 84/14=6, Resulting Numbers: [53, 32, 6]
Generated Node #0,2: 27:[53, 32, 6] Operation: 84/14=6
Start Sub Search at level 1: Moving to Node #0,1
Current State: 27:[32, 14, 31], Operations: ['84-53=31']
Exploring Operation: 31-14=17, Resulting Numbers: [32, 17]
Generated Node #0,1,0: 27:[32, 17] Operation: 31-14=17
Exploring Operation: 32-31=1, Resulting Numbers: [14, 1]
Generated Node #0,1,1: 27:[14, 1] Operation: 32-31=1
Exploring Operation: 32-14=18, Resulting Numbers: [31, 18]
Generated Node #0,1,2: 27:[31, 18] Operation: 32-14=18
Moving to Node #0,1,1
Current State: 27:[14, 1], Operations: ['84-53=31', '32-31=1']
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,27 unequal: No Solution
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,27 unequal: No Solution
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Moving to Node #0,1,0
Current State: 27:[32, 17], Operations: ['84-53=31', '31-14=17']
Exploring Operation: 32*17=544, Resulting Numbers: [544]
544,27 unequal: No Solution
Exploring Operation: 32+17=49, Resulting Numbers: [49]
49,27 unequal: No Solution
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,27 unequal: No Solution
Moving to Node #0,1,2
Current State: 27:[31, 18], Operations: ['84-53=31', '32-14=18']
Exploring Operation: 31+18=49, Resulting Numbers: [49]
49,27 unequal: No Solution
Exploring Operation: 31*18=558, Resulting Numbers: [558]
558,27 unequal: No Solution
Exploring Operation: 31-18=13, Resulting Numbers: [13]
13,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 27:[53, 32, 6], Operations: ['84/14=6']
Exploring Operation: 32-6=26, Resulting Numbers: [53, 26]
Generated Node #0,2,0: 27:[53, 26] Operation: 32-6=26
Exploring Operation: 53-6=47, Resulting Numbers: [32, 47]
Generated Node #0,2,1: 27:[32, 47] Operation: 53-6=47
Exploring Operation: 53-32=21, Resulting Numbers: [6, 21]
Generated Node #0,2,2: 27:[6, 21] Operation: 53-32=21
Moving to Node #0,2,2
Current State: 27:[6, 21], Operations: ['84/14=6', '53-32=21']
Exploring Operation: 6*21=126, Resulting Numbers: [126]
126,27 unequal: No Solution
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,27 unequal: No Solution
Exploring Operation: 6+21=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[84, 53, 32, 14], Operations: []
Exploring Operation: 84/14=6, Resulting Numbers: [53, 32, 6]
Generated Node #0,2: 27:[53, 32, 6] Operation: 84/14=6
Moving to Node #0,2
Current State: 27:[53, 32, 6], Operations: ['84/14=6']
Exploring Operation: 53-32=21, Resulting Numbers: [6, 21]
Generated Node #0,2,2: 27:[6, 21] Operation: 53-32=21
Moving to Node #0,2,2
Current State: 27:[6, 21], Operations: ['84/14=6', '53-32=21']
Exploring Operation: 6+21=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_3 | mult_heuristic |
[
85,
81,
80,
6
] | 15 | [
"85-80=5",
"81-6=75",
"75/5=15"
] | Current State: 15:[85, 81, 80, 6], Operations: []
Exploring Operation: 85-80=5, Resulting Numbers: [81, 6, 5]
Generated Node #2: [81, 6, 5] from Operation: 85-80=5
Current State: 15:[81, 6, 5], Operations: ['85-80=5']
Exploring Operation: 81-6=75, Resulting Numbers: [5, 75]
Generated Node #3: [5, 75] from Operation: 81-6=75
Current State: 15:[5, 75], Operations: ['85-80=5', '81-6=75']
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[85, 81, 80, 6], Operations: []
Exploring Operation: 85-80=5, Resulting Numbers: [81, 6, 5]
Generated Node #0,0: 15:[81, 6, 5] Operation: 85-80=5
Exploring Operation: 85-81=4, Resulting Numbers: [80, 6, 4]
Generated Node #0,1: 15:[80, 6, 4] Operation: 85-81=4
Moving to Node #0,0
Current State: 15:[81, 6, 5], Operations: ['85-80=5']
Exploring Operation: 81-5=76, Resulting Numbers: [6, 76]
Generated Node #0,0,0: 15:[6, 76] Operation: 81-5=76
Exploring Operation: 81-6=75, Resulting Numbers: [5, 75]
Generated Node #0,0,1: 15:[5, 75] Operation: 81-6=75
Moving to Node #0,1
Current State: 15:[80, 6, 4], Operations: ['85-81=4']
Exploring Operation: 80/4=20, Resulting Numbers: [6, 20]
Generated Node #0,1,0: 15:[6, 20] Operation: 80/4=20
Exploring Operation: 80-6=74, Resulting Numbers: [4, 74]
Generated Node #0,1,1: 15:[4, 74] Operation: 80-6=74
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 15:[6, 20], Operations: ['85-81=4', '80/4=20']
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 6+20=26, Resulting Numbers: [26]
26,15 unequal: No Solution
No 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: 15:[4, 74], Operations: ['85-81=4', '80-6=74']
Exploring Operation: 74-4=70, Resulting Numbers: [70]
70,15 unequal: No Solution
Exploring Operation: 4+74=78, Resulting Numbers: [78]
78,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 15:[5, 75], Operations: ['85-80=5', '81-6=75']
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[85, 81, 80, 6], Operations: []
Exploring Operation: 85-80=5, Resulting Numbers: [81, 6, 5]
Generated Node #0,0: 15:[81, 6, 5] Operation: 85-80=5
Moving to Node #0,0
Current State: 15:[81, 6, 5], Operations: ['85-80=5']
Exploring Operation: 81-6=75, Resulting Numbers: [5, 75]
Generated Node #0,0,1: 15:[5, 75] Operation: 81-6=75
Moving to Node #0,0,1
Current State: 15:[5, 75], Operations: ['85-80=5', '81-6=75']
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 0.986979 | hs_2 | mult_heuristic |
[
79,
4,
11,
45
] | 65 | [
"11+45=56",
"56/4=14",
"79-14=65"
] | Current State: 65:[79, 4, 11, 45], Operations: []
Exploring Operation: 11+45=56, Resulting Numbers: [79, 4, 56]
Generated Node #2: [79, 4, 56] from Operation: 11+45=56
Current State: 65:[79, 4, 56], Operations: ['11+45=56']
Exploring Operation: 56/4=14, Resulting Numbers: [79, 14]
Generated Node #3: [79, 14] from Operation: 56/4=14
Current State: 65:[79, 14], Operations: ['11+45=56', '56/4=14']
Exploring Operation: 79-14=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[79, 4, 11, 45], Operations: []
Exploring Operation: 4+45=49, Resulting Numbers: [79, 11, 49]
Generated Node #0,0: 65:[79, 11, 49] Operation: 4+45=49
Exploring Operation: 11+45=56, Resulting Numbers: [79, 4, 56]
Generated Node #0,1: 65:[79, 4, 56] Operation: 11+45=56
Exploring Operation: 79-4=75, Resulting Numbers: [11, 45, 75]
Generated Node #0,2: 65:[11, 45, 75] Operation: 79-4=75
Exploring Operation: 79-11=68, Resulting Numbers: [4, 45, 68]
Generated Node #0,3: 65:[4, 45, 68] Operation: 79-11=68
Exploring Operation: 79-45=34, Resulting Numbers: [4, 11, 34]
Generated Node #0,4: 65:[4, 11, 34] Operation: 79-45=34
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[79, 4, 56], Operations: ['11+45=56']
Exploring Operation: 4+56=60, Resulting Numbers: [79, 60]
Generated Node #0,1,0: 65:[79, 60] Operation: 4+56=60
Exploring Operation: 79-56=23, Resulting Numbers: [4, 23]
Generated Node #0,1,1: 65:[4, 23] Operation: 79-56=23
Exploring Operation: 79+4=83, Resulting Numbers: [56, 83]
Generated Node #0,1,2: 65:[56, 83] Operation: 79+4=83
Exploring Operation: 56/4=14, Resulting Numbers: [79, 14]
Generated Node #0,1,3: 65:[79, 14] Operation: 56/4=14
Exploring Operation: 79-4=75, Resulting Numbers: [56, 75]
Generated Node #0,1,4: 65:[56, 75] Operation: 79-4=75
Moving to Node #0,1,1
Current State: 65:[4, 23], Operations: ['11+45=56', '79-56=23']
Exploring Operation: 4+23=27, Resulting Numbers: [27]
27,65 unequal: No Solution
Exploring Operation: 4*23=92, Resulting Numbers: [92]
92,65 unequal: No Solution
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,65 unequal: No Solution
Moving to Node #0,1,3
Current State: 65:[79, 14], Operations: ['11+45=56', '56/4=14']
Exploring Operation: 79-14=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[79, 4, 11, 45], Operations: []
Exploring Operation: 11+45=56, Resulting Numbers: [79, 4, 56]
Generated Node #0,1: 65:[79, 4, 56] Operation: 11+45=56
Moving to Node #0,1
Current State: 65:[79, 4, 56], Operations: ['11+45=56']
Exploring Operation: 56/4=14, Resulting Numbers: [79, 14]
Generated Node #0,1,3: 65:[79, 14] Operation: 56/4=14
Moving to Node #0,1,3
Current State: 65:[79, 14], Operations: ['11+45=56', '56/4=14']
Exploring Operation: 79-14=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | mult_heuristic |
[
60,
51,
83,
18
] | 74 | [
"60-51=9",
"83-18=65",
"9+65=74"
] | Current State: 74:[60, 51, 83, 18], Operations: []
Exploring Operation: 60-51=9, Resulting Numbers: [83, 18, 9]
Generated Node #2: [83, 18, 9] from Operation: 60-51=9
Current State: 74:[83, 18, 9], Operations: ['60-51=9']
Exploring Operation: 83-18=65, Resulting Numbers: [9, 65]
Generated Node #3: [9, 65] from Operation: 83-18=65
Current State: 74:[9, 65], Operations: ['60-51=9', '83-18=65']
Exploring Operation: 9+65=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[60, 51, 83, 18], Operations: []
Exploring Operation: 60+18=78, Resulting Numbers: [51, 83, 78]
Generated Node #0,0: 74:[51, 83, 78] Operation: 60+18=78
Moving to Node #0,0
Current State: 74:[51, 83, 78], Operations: ['60+18=78']
Exploring Operation: 83-51=32, Resulting Numbers: [78, 32]
Generated Node #0,0,0: 74:[78, 32] Operation: 83-51=32
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 74:[78, 32], Operations: ['60+18=78', '83-51=32']
Exploring Operation: 78-32=46, Resulting Numbers: [46]
46,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
12,
17,
33,
48
] | 10 | [
"17-12=5",
"48-33=15",
"15-5=10"
] | Current State: 10:[12, 17, 33, 48], Operations: []
Exploring Operation: 17-12=5, Resulting Numbers: [33, 48, 5]
Generated Node #2: [33, 48, 5] from Operation: 17-12=5
Current State: 10:[33, 48, 5], Operations: ['17-12=5']
Exploring Operation: 48-33=15, Resulting Numbers: [5, 15]
Generated Node #3: [5, 15] from Operation: 48-33=15
Current State: 10:[5, 15], Operations: ['17-12=5', '48-33=15']
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[12, 17, 33, 48], Operations: []
Exploring Operation: 48-33=15, Resulting Numbers: [12, 17, 15]
Generated Node #0,0: 10:[12, 17, 15] Operation: 48-33=15
Exploring Operation: 48/12=4, Resulting Numbers: [17, 33, 4]
Generated Node #0,1: 10:[17, 33, 4] Operation: 48/12=4
Exploring Operation: 33-12=21, Resulting Numbers: [17, 48, 21]
Generated Node #0,2: 10:[17, 48, 21] Operation: 33-12=21
Exploring Operation: 48-17=31, Resulting Numbers: [12, 33, 31]
Generated Node #0,3: 10:[12, 33, 31] Operation: 48-17=31
Exploring Operation: 33-17=16, Resulting Numbers: [12, 48, 16]
Generated Node #0,4: 10:[12, 48, 16] Operation: 33-17=16
Moving to Node #0,0
Current State: 10:[12, 17, 15], Operations: ['48-33=15']
Exploring Operation: 15-12=3, Resulting Numbers: [17, 3]
Generated Node #0,0,0: 10:[17, 3] Operation: 15-12=3
Exploring Operation: 12+17=29, Resulting Numbers: [15, 29]
Generated Node #0,0,1: 10:[15, 29] Operation: 12+17=29
Exploring Operation: 17-15=2, Resulting Numbers: [12, 2]
Generated Node #0,0,2: 10:[12, 2] Operation: 17-15=2
Exploring Operation: 17-12=5, Resulting Numbers: [15, 5]
Generated Node #0,0,3: 10:[15, 5] Operation: 17-12=5
Exploring Operation: 12+15=27, Resulting Numbers: [17, 27]
Generated Node #0,0,4: 10:[17, 27] Operation: 12+15=27
Moving to Node #0,1
Current State: 10:[17, 33, 4], Operations: ['48/12=4']
Exploring Operation: 33-4=29, Resulting Numbers: [17, 29]
Generated Node #0,1,0: 10:[17, 29] Operation: 33-4=29
Exploring Operation: 33+4=37, Resulting Numbers: [17, 37]
Generated Node #0,1,1: 10:[17, 37] Operation: 33+4=37
Exploring Operation: 17-4=13, Resulting Numbers: [33, 13]
Generated Node #0,1,2: 10:[33, 13] Operation: 17-4=13
Exploring Operation: 17+4=21, Resulting Numbers: [33, 21]
Generated Node #0,1,3: 10:[33, 21] Operation: 17+4=21
Exploring Operation: 33-17=16, Resulting Numbers: [4, 16]
Generated Node #0,1,4: 10:[4, 16] Operation: 33-17=16
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 10:[4, 16], Operations: ['48/12=4', '33-17=16']
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,10 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,10 unequal: No Solution
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,10 unequal: No Solution
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 10:[17, 29], Operations: ['48/12=4', '33-4=29']
Exploring Operation: 29-17=12, Resulting Numbers: [12]
12,10 unequal: No Solution
Exploring Operation: 17*29=493, Resulting Numbers: [493]
493,10 unequal: No Solution
Exploring Operation: 17+29=46, Resulting Numbers: [46]
46,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 10:[33, 13], Operations: ['48/12=4', '17-4=13']
Exploring Operation: 33*13=429, Resulting Numbers: [429]
429,10 unequal: No Solution
Exploring Operation: 33-13=20, Resulting Numbers: [20]
20,10 unequal: No Solution
Exploring Operation: 33+13=46, Resulting Numbers: [46]
46,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 10:[17, 37], Operations: ['48/12=4', '33+4=37']
Exploring Operation: 37-17=20, Resulting Numbers: [20]
20,10 unequal: No Solution
Exploring Operation: 17*37=629, Resulting Numbers: [629]
629,10 unequal: No Solution
Exploring Operation: 17+37=54, Resulting Numbers: [54]
54,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 10:[33, 21], Operations: ['48/12=4', '17+4=21']
Exploring Operation: 33-21=12, Resulting Numbers: [12]
12,10 unequal: No Solution
Exploring Operation: 33+21=54, Resulting Numbers: [54]
54,10 unequal: No Solution
Exploring Operation: 33*21=693, Resulting Numbers: [693]
693,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 10:[12, 33, 31], Operations: ['48-17=31']
Exploring Operation: 33-31=2, Resulting Numbers: [12, 2]
Generated Node #0,3,0: 10:[12, 2] Operation: 33-31=2
Exploring Operation: 31-12=19, Resulting Numbers: [33, 19]
Generated Node #0,3,1: 10:[33, 19] Operation: 31-12=19
Exploring Operation: 12+33=45, Resulting Numbers: [31, 45]
Generated Node #0,3,2: 10:[31, 45] Operation: 12+33=45
Exploring Operation: 12+31=43, Resulting Numbers: [33, 43]
Generated Node #0,3,3: 10:[33, 43] Operation: 12+31=43
Exploring Operation: 33-12=21, Resulting Numbers: [31, 21]
Generated Node #0,3,4: 10:[31, 21] Operation: 33-12=21
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 10:[12, 2], Operations: ['48-17=31', '33-31=2']
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,10 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,10 unequal: No Solution
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,10 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[12, 17, 33, 48], Operations: []
Exploring Operation: 48-17=31, Resulting Numbers: [12, 33, 31]
Generated Node #0,3: 10:[12, 33, 31] Operation: 48-17=31
Moving to Node #0,3
Current State: 10:[12, 33, 31], Operations: ['48-17=31']
Exploring Operation: 33-31=2, Resulting Numbers: [12, 2]
Generated Node #0,3,0: 10:[12, 2] Operation: 33-31=2
Moving to Node #0,3,0
Current State: 10:[12, 2], Operations: ['48-17=31', '33-31=2']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.961806 | hs_5 | sum_heuristic |
[
90,
25,
1,
8
] | 56 | [
"90-25=65",
"1+8=9",
"65-9=56"
] | Current State: 56:[90, 25, 1, 8], Operations: []
Exploring Operation: 90-25=65, Resulting Numbers: [1, 8, 65]
Generated Node #2: [1, 8, 65] from Operation: 90-25=65
Current State: 56:[1, 8, 65], Operations: ['90-25=65']
Exploring Operation: 1+8=9, Resulting Numbers: [65, 9]
Generated Node #3: [65, 9] from Operation: 1+8=9
Current State: 56:[65, 9], Operations: ['90-25=65', '1+8=9']
Exploring Operation: 65-9=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[90, 25, 1, 8], Operations: []
Exploring Operation: 90*1=90, Resulting Numbers: [25, 8, 90]
Generated Node #0,0: 56:[25, 8, 90] Operation: 90*1=90
Exploring Operation: 90-1=89, Resulting Numbers: [25, 8, 89]
Generated Node #0,1: 56:[25, 8, 89] Operation: 90-1=89
Exploring Operation: 90-25=65, Resulting Numbers: [1, 8, 65]
Generated Node #0,2: 56:[1, 8, 65] Operation: 90-25=65
Exploring Operation: 25+1=26, Resulting Numbers: [90, 8, 26]
Generated Node #0,3: 56:[90, 8, 26] Operation: 25+1=26
Exploring Operation: 90-8=82, Resulting Numbers: [25, 1, 82]
Generated Node #0,4: 56:[25, 1, 82] Operation: 90-8=82
Moving to Node #0,2
Current State: 56:[1, 8, 65], Operations: ['90-25=65']
Exploring Operation: 65-8=57, Resulting Numbers: [1, 57]
Generated Node #0,2,0: 56:[1, 57] Operation: 65-8=57
Exploring Operation: 1*8=8, Resulting Numbers: [65, 8]
Generated Node #0,2,1: 56:[65, 8] Operation: 1*8=8
Exploring Operation: 8/1=8, Resulting Numbers: [65, 8]
Generated Node #0,2,2: 56:[65, 8] Operation: 8/1=8
Exploring Operation: 65-1=64, Resulting Numbers: [8, 64]
Generated Node #0,2,3: 56:[8, 64] Operation: 65-1=64
Exploring Operation: 8-1=7, Resulting Numbers: [65, 7]
Generated Node #0,2,4: 56:[65, 7] Operation: 8-1=7
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 56:[1, 57], Operations: ['90-25=65', '65-8=57']
Exploring Operation: 57/1=57, Resulting Numbers: [57]
57,56 unequal: No Solution
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[90, 25, 1, 8], Operations: []
Exploring Operation: 90-25=65, Resulting Numbers: [1, 8, 65]
Generated Node #0,2: 56:[1, 8, 65] Operation: 90-25=65
Moving to Node #0,2
Current State: 56:[1, 8, 65], Operations: ['90-25=65']
Exploring Operation: 65-8=57, Resulting Numbers: [1, 57]
Generated Node #0,2,0: 56:[1, 57] Operation: 65-8=57
Moving to Node #0,2,0
Current State: 56:[1, 57], Operations: ['90-25=65', '65-8=57']
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
39,
5,
61,
23
] | 43 | [
"39+61=100",
"100/5=20",
"23+20=43"
] | Current State: 43:[39, 5, 61, 23], Operations: []
Exploring Operation: 39+61=100, Resulting Numbers: [5, 23, 100]
Generated Node #2: [5, 23, 100] from Operation: 39+61=100
Current State: 43:[5, 23, 100], Operations: ['39+61=100']
Exploring Operation: 100/5=20, Resulting Numbers: [23, 20]
Generated Node #3: [23, 20] from Operation: 100/5=20
Current State: 43:[23, 20], Operations: ['39+61=100', '100/5=20']
Exploring Operation: 23+20=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[39, 5, 61, 23], Operations: []
Exploring Operation: 39+5=44, Resulting Numbers: [61, 23, 44]
Generated Node #0,0: 43:[61, 23, 44] Operation: 39+5=44
Exploring Operation: 61-5=56, Resulting Numbers: [39, 23, 56]
Generated Node #0,1: 43:[39, 23, 56] Operation: 61-5=56
Exploring Operation: 5+23=28, Resulting Numbers: [39, 61, 28]
Generated Node #0,2: 43:[39, 61, 28] Operation: 5+23=28
Exploring Operation: 39-5=34, Resulting Numbers: [61, 23, 34]
Generated Node #0,3: 43:[61, 23, 34] Operation: 39-5=34
Moving to Node #0,1
Current State: 43:[39, 23, 56], Operations: ['61-5=56']
Exploring Operation: 39-23=16, Resulting Numbers: [56, 16]
Generated Node #0,1,0: 43:[56, 16] Operation: 39-23=16
Exploring Operation: 56-23=33, Resulting Numbers: [39, 33]
Generated Node #0,1,1: 43:[39, 33] Operation: 56-23=33
Exploring Operation: 23+56=79, Resulting Numbers: [39, 79]
Generated Node #0,1,2: 43:[39, 79] Operation: 23+56=79
Exploring Operation: 39+23=62, Resulting Numbers: [56, 62]
Generated Node #0,1,3: 43:[56, 62] Operation: 39+23=62
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 43:[39, 33], Operations: ['61-5=56', '56-23=33']
Exploring Operation: 39-33=6, Resulting Numbers: [6]
6,43 unequal: No Solution
Exploring Operation: 39*33=1287, Resulting Numbers: [1287]
1287,43 unequal: No Solution
Exploring Operation: 39+33=72, Resulting Numbers: [72]
72,43 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 #0,1,3
Current State: 43:[56, 62], Operations: ['61-5=56', '39+23=62']
Exploring Operation: 56*62=3472, Resulting Numbers: [3472]
3472,43 unequal: No Solution
Exploring Operation: 56+62=118, Resulting Numbers: [118]
118,43 unequal: No Solution
Exploring Operation: 62-56=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 #0,1,0
Current State: 43:[56, 16], Operations: ['61-5=56', '39-23=16']
Exploring Operation: 56*16=896, Resulting Numbers: [896]
896,43 unequal: No Solution
Exploring Operation: 56+16=72, Resulting Numbers: [72]
72,43 unequal: No Solution
Exploring Operation: 56-16=40, Resulting Numbers: [40]
40,43 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 #0,1,2
Current State: 43:[39, 79], Operations: ['61-5=56', '23+56=79']
Exploring Operation: 39*79=3081, Resulting Numbers: [3081]
3081,43 unequal: No Solution
Exploring Operation: 39+79=118, Resulting Numbers: [118]
118,43 unequal: No Solution
Exploring Operation: 79-39=40, Resulting Numbers: [40]
40,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 43:[39, 61, 28], Operations: ['5+23=28']
Exploring Operation: 61-39=22, Resulting Numbers: [28, 22]
Generated Node #0,2,0: 43:[28, 22] Operation: 61-39=22
Exploring Operation: 61-28=33, Resulting Numbers: [39, 33]
Generated Node #0,2,1: 43:[39, 33] Operation: 61-28=33
Exploring Operation: 39+28=67, Resulting Numbers: [61, 67]
Generated Node #0,2,2: 43:[61, 67] Operation: 39+28=67
Exploring Operation: 39-28=11, Resulting Numbers: [61, 11]
Generated Node #0,2,3: 43:[61, 11] Operation: 39-28=11
Moving to Node #0,0
Current State: 43:[61, 23, 44], Operations: ['39+5=44']
Exploring Operation: 61+23=84, Resulting Numbers: [44, 84]
Generated Node #0,0,0: 43:[44, 84] Operation: 61+23=84
Exploring Operation: 23+44=67, Resulting Numbers: [61, 67]
Generated Node #0,0,1: 43:[61, 67] Operation: 23+44=67
Exploring Operation: 44-23=21, Resulting Numbers: [61, 21]
Generated Node #0,0,2: 43:[61, 21] Operation: 44-23=21
Exploring Operation: 61-23=38, Resulting Numbers: [44, 38]
Generated Node #0,0,3: 43:[44, 38] Operation: 61-23=38
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 43:[44, 38], Operations: ['39+5=44', '61-23=38']
Exploring Operation: 44*38=1672, Resulting Numbers: [1672]
1672,43 unequal: No Solution
Exploring Operation: 44-38=6, Resulting Numbers: [6]
6,43 unequal: No Solution
Exploring Operation: 44+38=82, Resulting Numbers: [82]
82,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 43:[61, 21], Operations: ['39+5=44', '44-23=21']
Exploring Operation: 61-21=40, Resulting Numbers: [40]
40,43 unequal: No Solution
Exploring Operation: 61+21=82, Resulting Numbers: [82]
82,43 unequal: No Solution
Exploring Operation: 61*21=1281, Resulting Numbers: [1281]
1281,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 43:[44, 84], Operations: ['39+5=44', '61+23=84']
Exploring Operation: 84-44=40, Resulting Numbers: [40]
40,43 unequal: No Solution
Exploring Operation: 44+84=128, Resulting Numbers: [128]
128,43 unequal: No Solution
Exploring Operation: 44*84=3696, Resulting Numbers: [3696]
3696,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 43:[61, 67], Operations: ['39+5=44', '23+44=67']
Exploring Operation: 67-61=6, Resulting Numbers: [6]
6,43 unequal: No Solution
Exploring Operation: 61*67=4087, Resulting Numbers: [4087]
4087,43 unequal: No Solution
Exploring Operation: 61+67=128, Resulting Numbers: [128]
128,43 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: 43:[61, 23, 34], Operations: ['39-5=34']
Exploring Operation: 61+23=84, Resulting Numbers: [34, 84]
Generated Node #0,3,0: 43:[34, 84] Operation: 61+23=84
Exploring Operation: 61-23=38, Resulting Numbers: [34, 38]
Generated Node #0,3,1: 43:[34, 38] Operation: 61-23=38
Exploring Operation: 23+34=57, Resulting Numbers: [61, 57]
Generated Node #0,3,2: 43:[61, 57] Operation: 23+34=57
Exploring Operation: 61-34=27, Resulting Numbers: [23, 27]
Generated Node #0,3,3: 43:[23, 27] Operation: 61-34=27
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 43:[34, 38], Operations: ['39-5=34', '61-23=38']
Exploring Operation: 38-34=4, Resulting Numbers: [4]
4,43 unequal: No Solution
Exploring Operation: 34+38=72, Resulting Numbers: [72]
72,43 unequal: No Solution
Exploring Operation: 34*38=1292, Resulting Numbers: [1292]
1292,43 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 #0,3,2
Current State: 43:[61, 57], Operations: ['39-5=34', '23+34=57']
Exploring Operation: 61-57=4, Resulting Numbers: [4]
4,43 unequal: No Solution
Exploring Operation: 61*57=3477, Resulting Numbers: [3477]
3477,43 unequal: No Solution
Exploring Operation: 61+57=118, Resulting Numbers: [118]
118,43 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 #0,3,3
Current State: 43:[23, 27], Operations: ['39-5=34', '61-34=27']
Exploring Operation: 27-23=4, Resulting Numbers: [4]
4,43 unequal: No Solution
Exploring Operation: 23+27=50, Resulting Numbers: [50]
50,43 unequal: No Solution
Exploring Operation: 23*27=621, Resulting Numbers: [621]
621,43 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 #0,3,0
Current State: 43:[34, 84], Operations: ['39-5=34', '61+23=84']
Exploring Operation: 84-34=50, Resulting Numbers: [50]
50,43 unequal: No Solution
Exploring Operation: 34*84=2856, Resulting Numbers: [2856]
2856,43 unequal: No Solution
Exploring Operation: 34+84=118, Resulting Numbers: [118]
118,43 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: 43:[39, 33], Operations: ['5+23=28', '61-28=33']
Exploring Operation: 39*33=1287, Resulting Numbers: [1287]
1287,43 unequal: No Solution
Exploring Operation: 39-33=6, Resulting Numbers: [6]
6,43 unequal: No Solution
Exploring Operation: 39+33=72, Resulting Numbers: [72]
72,43 unequal: No Solution
Moving to Node #0,2,0
Current State: 43:[28, 22], Operations: ['5+23=28', '61-39=22']
Exploring Operation: 28-22=6, Resulting Numbers: [6]
6,43 unequal: No Solution
Exploring Operation: 28+22=50, Resulting Numbers: [50]
50,43 unequal: No Solution
Exploring Operation: 28*22=616, Resulting Numbers: [616]
616,43 unequal: No Solution
Moving to Node #0,2,2
Current State: 43:[61, 67], Operations: ['5+23=28', '39+28=67']
Exploring Operation: 61*67=4087, Resulting Numbers: [4087]
4087,43 unequal: No Solution
Exploring Operation: 61+67=128, Resulting Numbers: [128]
128,43 unequal: No Solution
Exploring Operation: 67-61=6, Resulting Numbers: [6]
6,43 unequal: No Solution
Moving to Node #0,2,3
Current State: 43:[61, 11], Operations: ['5+23=28', '39-28=11']
Exploring Operation: 61+11=72, Resulting Numbers: [72]
72,43 unequal: No Solution
Exploring Operation: 61-11=50, Resulting Numbers: [50]
50,43 unequal: No Solution
Exploring Operation: 61*11=671, Resulting Numbers: [671]
671,43 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
29,
33,
96,
69
] | 35 | [
"29+33=62",
"96-69=27",
"62-27=35"
] | Current State: 35:[29, 33, 96, 69], Operations: []
Exploring Operation: 29+33=62, Resulting Numbers: [96, 69, 62]
Generated Node #2: [96, 69, 62] from Operation: 29+33=62
Current State: 35:[96, 69, 62], Operations: ['29+33=62']
Exploring Operation: 96-69=27, Resulting Numbers: [62, 27]
Generated Node #3: [62, 27] from Operation: 96-69=27
Current State: 35:[62, 27], Operations: ['29+33=62', '96-69=27']
Exploring Operation: 62-27=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[29, 33, 96, 69], Operations: []
Exploring Operation: 96-29=67, Resulting Numbers: [33, 69, 67]
Generated Node #0,0: 35:[33, 69, 67] Operation: 96-29=67
Exploring Operation: 69-29=40, Resulting Numbers: [33, 96, 40]
Generated Node #0,1: 35:[33, 96, 40] Operation: 69-29=40
Exploring Operation: 96-69=27, Resulting Numbers: [29, 33, 27]
Generated Node #0,2: 35:[29, 33, 27] Operation: 96-69=27
Start Sub Search at level 1: Moving to Node #0,2
Current State: 35:[29, 33, 27], Operations: ['96-69=27']
Exploring Operation: 33-27=6, Resulting Numbers: [29, 6]
Generated Node #0,2,0: 35:[29, 6] Operation: 33-27=6
Exploring Operation: 29-27=2, Resulting Numbers: [33, 2]
Generated Node #0,2,1: 35:[33, 2] Operation: 29-27=2
Exploring Operation: 33-29=4, Resulting Numbers: [27, 4]
Generated Node #0,2,2: 35:[27, 4] Operation: 33-29=4
Moving to Node #0,2,1
Current State: 35:[33, 2], Operations: ['96-69=27', '29-27=2']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,35 unequal: No Solution
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,35 unequal: No Solution
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[29, 33, 96, 69], Operations: []
Exploring Operation: 96-69=27, Resulting Numbers: [29, 33, 27]
Generated Node #0,2: 35:[29, 33, 27] Operation: 96-69=27
Moving to Node #0,2
Current State: 35:[29, 33, 27], Operations: ['96-69=27']
Exploring Operation: 29-27=2, Resulting Numbers: [33, 2]
Generated Node #0,2,1: 35:[33, 2] Operation: 29-27=2
Moving to Node #0,2,1
Current State: 35:[33, 2], Operations: ['96-69=27', '29-27=2']
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
55,
66,
68,
72
] | 62 | [
"72-55=17",
"68/17=4",
"66-4=62"
] | Current State: 62:[55, 66, 68, 72], Operations: []
Exploring Operation: 72-55=17, Resulting Numbers: [66, 68, 17]
Generated Node #2: [66, 68, 17] from Operation: 72-55=17
Current State: 62:[66, 68, 17], Operations: ['72-55=17']
Exploring Operation: 68/17=4, Resulting Numbers: [66, 4]
Generated Node #3: [66, 4] from Operation: 68/17=4
Current State: 62:[66, 4], Operations: ['72-55=17', '68/17=4']
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[55, 66, 68, 72], Operations: []
Exploring Operation: 72-68=4, Resulting Numbers: [55, 66, 4]
Generated Node #0,0: 62:[55, 66, 4] Operation: 72-68=4
Moving to Node #0,0
Current State: 62:[55, 66, 4], Operations: ['72-68=4']
Exploring Operation: 55+4=59, Resulting Numbers: [66, 59]
Generated Node #0,0,0: 62:[66, 59] Operation: 55+4=59
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 62:[66, 59], Operations: ['72-68=4', '55+4=59']
Exploring Operation: 66-59=7, Resulting Numbers: [7]
7,62 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,
17,
38,
77
] | 54 | [
"32-17=15",
"77-38=39",
"15+39=54"
] | Current State: 54:[32, 17, 38, 77], Operations: []
Exploring Operation: 32-17=15, Resulting Numbers: [38, 77, 15]
Generated Node #2: [38, 77, 15] from Operation: 32-17=15
Current State: 54:[38, 77, 15], Operations: ['32-17=15']
Exploring Operation: 77-38=39, Resulting Numbers: [15, 39]
Generated Node #3: [15, 39] from Operation: 77-38=39
Current State: 54:[15, 39], Operations: ['32-17=15', '77-38=39']
Exploring Operation: 15+39=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[32, 17, 38, 77], Operations: []
Exploring Operation: 77-32=45, Resulting Numbers: [17, 38, 45]
Generated Node #0,0: 54:[17, 38, 45] Operation: 77-32=45
Exploring Operation: 77-38=39, Resulting Numbers: [32, 17, 39]
Generated Node #0,1: 54:[32, 17, 39] Operation: 77-38=39
Start Sub Search at level 1: Moving to Node #0,1
Current State: 54:[32, 17, 39], Operations: ['77-38=39']
Exploring Operation: 39-32=7, Resulting Numbers: [17, 7]
Generated Node #0,1,0: 54:[17, 7] Operation: 39-32=7
Exploring Operation: 17+39=56, Resulting Numbers: [32, 56]
Generated Node #0,1,1: 54:[32, 56] Operation: 17+39=56
Moving to Node #0,1,0
Current State: 54:[17, 7], Operations: ['77-38=39', '39-32=7']
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,54 unequal: No Solution
Exploring Operation: 17+7=24, Resulting Numbers: [24]
24,54 unequal: No Solution
Moving to Node #0,1,1
Current State: 54:[32, 56], Operations: ['77-38=39', '17+39=56']
Exploring Operation: 32+56=88, Resulting Numbers: [88]
88,54 unequal: No Solution
Exploring Operation: 56-32=24, Resulting Numbers: [24]
24,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[17, 38, 45], Operations: ['77-32=45']
Exploring Operation: 17+38=55, Resulting Numbers: [45, 55]
Generated Node #0,0,0: 54:[45, 55] Operation: 17+38=55
Exploring Operation: 45-38=7, Resulting Numbers: [17, 7]
Generated Node #0,0,1: 54:[17, 7] Operation: 45-38=7
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 54:[17, 7], Operations: ['77-32=45', '45-38=7']
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,54 unequal: No Solution
Exploring Operation: 17+7=24, Resulting Numbers: [24]
24,54 unequal: No Solution
No 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: 54:[45, 55], Operations: ['77-32=45', '17+38=55']
Exploring Operation: 45+55=100, Resulting Numbers: [100]
100,54 unequal: No Solution
Exploring Operation: 55-45=10, Resulting Numbers: [10]
10,54 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 |
[
27,
50,
52,
45
] | 83 | [
"50-45=5",
"27*5=135",
"135-52=83"
] | Current State: 83:[27, 50, 52, 45], Operations: []
Exploring Operation: 50-45=5, Resulting Numbers: [27, 52, 5]
Generated Node #2: [27, 52, 5] from Operation: 50-45=5
Current State: 83:[27, 52, 5], Operations: ['50-45=5']
Exploring Operation: 27*5=135, Resulting Numbers: [52, 135]
Generated Node #3: [52, 135] from Operation: 27*5=135
Current State: 83:[52, 135], Operations: ['50-45=5', '27*5=135']
Exploring Operation: 135-52=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[27, 50, 52, 45], Operations: []
Exploring Operation: 27+50=77, Resulting Numbers: [52, 45, 77]
Generated Node #0,0: 83:[52, 45, 77] Operation: 27+50=77
Exploring Operation: 27+52=79, Resulting Numbers: [50, 45, 79]
Generated Node #0,1: 83:[50, 45, 79] Operation: 27+52=79
Exploring Operation: 27+45=72, Resulting Numbers: [50, 52, 72]
Generated Node #0,2: 83:[50, 52, 72] Operation: 27+45=72
Moving to Node #0,0
Current State: 83:[52, 45, 77], Operations: ['27+50=77']
Exploring Operation: 52+45=97, Resulting Numbers: [77, 97]
Generated Node #0,0,0: 83:[77, 97] Operation: 52+45=97
Exploring Operation: 45+77=122, Resulting Numbers: [52, 122]
Generated Node #0,0,1: 83:[52, 122] Operation: 45+77=122
Exploring Operation: 52-45=7, Resulting Numbers: [77, 7]
Generated Node #0,0,2: 83:[77, 7] Operation: 52-45=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 83:[77, 97], Operations: ['27+50=77', '52+45=97']
Exploring Operation: 97-77=20, Resulting Numbers: [20]
20,83 unequal: No Solution
Exploring Operation: 77*97=7469, Resulting Numbers: [7469]
7469,83 unequal: No Solution
Exploring Operation: 77+97=174, Resulting Numbers: [174]
174,83 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 #0,0,1
Current State: 83:[52, 122], Operations: ['27+50=77', '45+77=122']
Exploring Operation: 122-52=70, Resulting Numbers: [70]
70,83 unequal: No Solution
Exploring Operation: 52+122=174, Resulting Numbers: [174]
174,83 unequal: No Solution
Exploring Operation: 52*122=6344, Resulting Numbers: [6344]
6344,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 83:[77, 7], Operations: ['27+50=77', '52-45=7']
Exploring Operation: 77+7=84, Resulting Numbers: [84]
84,83 unequal: No Solution
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,83 unequal: No Solution
Exploring Operation: 77-7=70, Resulting Numbers: [70]
70,83 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: 83:[50, 45, 79], Operations: ['27+52=79']
Exploring Operation: 45+79=124, Resulting Numbers: [50, 124]
Generated Node #0,1,0: 83:[50, 124] Operation: 45+79=124
Exploring Operation: 50+45=95, Resulting Numbers: [79, 95]
Generated Node #0,1,1: 83:[79, 95] Operation: 50+45=95
Exploring Operation: 50-45=5, Resulting Numbers: [79, 5]
Generated Node #0,1,2: 83:[79, 5] Operation: 50-45=5
Moving to Node #0,2
Current State: 83:[50, 52, 72], Operations: ['27+45=72']
Exploring Operation: 50+52=102, Resulting Numbers: [72, 102]
Generated Node #0,2,0: 83:[72, 102] Operation: 50+52=102
Exploring Operation: 50+72=122, Resulting Numbers: [52, 122]
Generated Node #0,2,1: 83:[52, 122] Operation: 50+72=122
Exploring Operation: 52+72=124, Resulting Numbers: [50, 124]
Generated Node #0,2,2: 83:[50, 124] Operation: 52+72=124
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 83:[72, 102], Operations: ['27+45=72', '50+52=102']
Exploring Operation: 102-72=30, Resulting Numbers: [30]
30,83 unequal: No Solution
Exploring Operation: 72*102=7344, Resulting Numbers: [7344]
7344,83 unequal: No Solution
Exploring Operation: 72+102=174, Resulting Numbers: [174]
174,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 83:[52, 122], Operations: ['27+45=72', '50+72=122']
Exploring Operation: 122-52=70, Resulting Numbers: [70]
70,83 unequal: No Solution
Exploring Operation: 52+122=174, Resulting Numbers: [174]
174,83 unequal: No Solution
Exploring Operation: 52*122=6344, Resulting Numbers: [6344]
6344,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 83:[50, 124], Operations: ['27+45=72', '52+72=124']
Exploring Operation: 50*124=6200, Resulting Numbers: [6200]
6200,83 unequal: No Solution
Exploring Operation: 124-50=74, Resulting Numbers: [74]
74,83 unequal: No Solution
Exploring Operation: 50+124=174, Resulting Numbers: [174]
174,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 83:[79, 95], Operations: ['27+52=79', '50+45=95']
Exploring Operation: 95-79=16, Resulting Numbers: [16]
16,83 unequal: No Solution
Exploring Operation: 79*95=7505, Resulting Numbers: [7505]
7505,83 unequal: No Solution
Exploring Operation: 79+95=174, Resulting Numbers: [174]
174,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[50, 124], Operations: ['27+52=79', '45+79=124']
Exploring Operation: 124-50=74, Resulting Numbers: [74]
74,83 unequal: No Solution
Exploring Operation: 50+124=174, Resulting Numbers: [174]
174,83 unequal: No Solution
Exploring Operation: 50*124=6200, Resulting Numbers: [6200]
6200,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[79, 5], Operations: ['27+52=79', '50-45=5']
Exploring Operation: 79+5=84, Resulting Numbers: [84]
84,83 unequal: No Solution
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,83 unequal: No Solution
Exploring Operation: 79*5=395, Resulting Numbers: [395]
395,83 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
51,
51,
70,
70
] | 38 | [
"51+51=102",
"70+70=140",
"140-102=38"
] | Current State: 38:[51, 51, 70, 70], Operations: []
Exploring Operation: 51+51=102, Resulting Numbers: [70, 70, 102]
Generated Node #2: [70, 70, 102] from Operation: 51+51=102
Current State: 38:[70, 70, 102], Operations: ['51+51=102']
Exploring Operation: 70+70=140, Resulting Numbers: [102, 140]
Generated Node #3: [102, 140] from Operation: 70+70=140
Current State: 38:[102, 140], Operations: ['51+51=102', '70+70=140']
Exploring Operation: 140-102=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[51, 51, 70, 70], Operations: []
Exploring Operation: 70-70=0, Resulting Numbers: [51, 51, 0]
Generated Node #0,0: 38:[51, 51, 0] Operation: 70-70=0
Exploring Operation: 70/70=1, Resulting Numbers: [51, 51, 1]
Generated Node #0,1: 38:[51, 51, 1] Operation: 70/70=1
Start Sub Search at level 1: Moving to Node #0,1
Current State: 38:[51, 51, 1], Operations: ['70/70=1']
Exploring Operation: 51-51=0, Resulting Numbers: [1, 0]
Generated Node #0,1,0: 38:[1, 0] Operation: 51-51=0
Exploring Operation: 51/51=1, Resulting Numbers: [1, 1]
Generated Node #0,1,1: 38:[1, 1] Operation: 51/51=1
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 38:[1, 1], Operations: ['70/70=1', '51/51=1']
Exploring Operation: 1*1=1, Resulting Numbers: [1]
1,38 unequal: No Solution
Exploring Operation: 1+1=2, Resulting Numbers: [2]
2,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 38:[1, 0], Operations: ['70/70=1', '51-51=0']
Exploring Operation: 1+0=1, Resulting Numbers: [1]
1,38 unequal: No Solution
Exploring Operation: 1-0=1, Resulting Numbers: [1]
1,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[51, 51, 0], Operations: ['70-70=0']
Exploring Operation: 51/51=1, Resulting Numbers: [0, 1]
Generated Node #0,0,0: 38:[0, 1] Operation: 51/51=1
Exploring Operation: 51-51=0, Resulting Numbers: [0, 0]
Generated Node #0,0,1: 38:[0, 0] Operation: 51-51=0
Moving to Node #0,0,0
Current State: 38:[0, 1], Operations: ['70-70=0', '51/51=1']
Exploring Operation: 1-0=1, Resulting Numbers: [1]
1,38 unequal: No Solution
Exploring Operation: 0+1=1, Resulting Numbers: [1]
1,38 unequal: No Solution
Moving to Node #0,0,1
Current State: 38:[0, 0], Operations: ['70-70=0', '51-51=0']
Exploring Operation: 0+0=0, Resulting Numbers: [0]
0,38 unequal: No Solution
Exploring Operation: 0*0=0, Resulting Numbers: [0]
0,38 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 |
[
88,
84,
29,
40
] | 39 | [
"88-84=4",
"40/4=10",
"29+10=39"
] | Current State: 39:[88, 84, 29, 40], Operations: []
Exploring Operation: 88-84=4, Resulting Numbers: [29, 40, 4]
Generated Node #2: [29, 40, 4] from Operation: 88-84=4
Current State: 39:[29, 40, 4], Operations: ['88-84=4']
Exploring Operation: 40/4=10, Resulting Numbers: [29, 10]
Generated Node #3: [29, 10] from Operation: 40/4=10
Current State: 39:[29, 10], Operations: ['88-84=4', '40/4=10']
Exploring Operation: 29+10=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[88, 84, 29, 40], Operations: []
Exploring Operation: 88-84=4, Resulting Numbers: [29, 40, 4]
Generated Node #0,0: 39:[29, 40, 4] Operation: 88-84=4
Exploring Operation: 88-40=48, Resulting Numbers: [84, 29, 48]
Generated Node #0,1: 39:[84, 29, 48] Operation: 88-40=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[29, 40, 4], Operations: ['88-84=4']
Exploring Operation: 40-29=11, Resulting Numbers: [4, 11]
Generated Node #0,0,0: 39:[4, 11] Operation: 40-29=11
Exploring Operation: 29+4=33, Resulting Numbers: [40, 33]
Generated Node #0,0,1: 39:[40, 33] Operation: 29+4=33
Moving to Node #0,0,0
Current State: 39:[4, 11], Operations: ['88-84=4', '40-29=11']
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,39 unequal: No Solution
Exploring Operation: 4+11=15, Resulting Numbers: [15]
15,39 unequal: No Solution
Moving to Node #0,0,1
Current State: 39:[40, 33], Operations: ['88-84=4', '29+4=33']
Exploring Operation: 40+33=73, Resulting Numbers: [73]
73,39 unequal: No Solution
Exploring Operation: 40-33=7, Resulting Numbers: [7]
7,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 39:[84, 29, 48], Operations: ['88-40=48']
Exploring Operation: 84-29=55, Resulting Numbers: [48, 55]
Generated Node #0,1,0: 39:[48, 55] Operation: 84-29=55
Exploring Operation: 84-48=36, Resulting Numbers: [29, 36]
Generated Node #0,1,1: 39:[29, 36] Operation: 84-48=36
Moving to Node #0,1,1
Current State: 39:[29, 36], Operations: ['88-40=48', '84-48=36']
Exploring Operation: 36-29=7, Resulting Numbers: [7]
7,39 unequal: No Solution
Exploring Operation: 29+36=65, Resulting Numbers: [65]
65,39 unequal: No Solution
Moving to Node #0,1,0
Current State: 39:[48, 55], Operations: ['88-40=48', '84-29=55']
Exploring Operation: 48+55=103, Resulting Numbers: [103]
103,39 unequal: No Solution
Exploring Operation: 55-48=7, Resulting Numbers: [7]
7,39 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 |
[
50,
12,
12,
81
] | 55 | [
"50-12=38",
"12+81=93",
"93-38=55"
] | Current State: 55:[50, 12, 12, 81], Operations: []
Exploring Operation: 50-12=38, Resulting Numbers: [81, 38]
Generated Node #2: [81, 38] from Operation: 50-12=38
Current State: 55:[81, 38], Operations: ['50-12=38']
Exploring Operation: 12+81=93, Resulting Numbers: [38, 93]
Generated Node #3: [38, 93] from Operation: 12+81=93
Current State: 55:[38, 93], Operations: ['50-12=38', '12+81=93']
Exploring Operation: 93-38=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[50, 12, 12, 81], Operations: []
Exploring Operation: 81-12=69, Resulting Numbers: [50, 12, 69]
Generated Node #0,0: 55:[50, 12, 69] Operation: 81-12=69
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[50, 12, 69], Operations: ['81-12=69']
Exploring Operation: 69-12=57, Resulting Numbers: [50, 57]
Generated Node #0,0,0: 55:[50, 57] Operation: 69-12=57
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 55:[50, 57], Operations: ['81-12=69', '69-12=57']
Exploring Operation: 57-50=7, Resulting Numbers: [7]
7,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
75,
11,
65,
25
] | 98 | [
"75*11=825",
"825/25=33",
"65+33=98"
] | Current State: 98:[75, 11, 65, 25], Operations: []
Exploring Operation: 75*11=825, Resulting Numbers: [65, 25, 825]
Generated Node #2: [65, 25, 825] from Operation: 75*11=825
Current State: 98:[65, 25, 825], Operations: ['75*11=825']
Exploring Operation: 825/25=33, Resulting Numbers: [65, 33]
Generated Node #3: [65, 33] from Operation: 825/25=33
Current State: 98:[65, 33], Operations: ['75*11=825', '825/25=33']
Exploring Operation: 65+33=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[75, 11, 65, 25], Operations: []
Exploring Operation: 75-65=10, Resulting Numbers: [11, 25, 10]
Generated Node #0,0: 98:[11, 25, 10] Operation: 75-65=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[11, 25, 10], Operations: ['75-65=10']
Exploring Operation: 25-11=14, Resulting Numbers: [10, 14]
Generated Node #0,0,0: 98:[10, 14] Operation: 25-11=14
Moving to Node #0,0,0
Current State: 98:[10, 14], Operations: ['75-65=10', '25-11=14']
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,98 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 |
[
99,
24,
8,
33
] | 100 | [
"99-24=75",
"33-8=25",
"75+25=100"
] | Current State: 100:[99, 24, 8, 33], Operations: []
Exploring Operation: 99-24=75, Resulting Numbers: [8, 33, 75]
Generated Node #2: [8, 33, 75] from Operation: 99-24=75
Current State: 100:[8, 33, 75], Operations: ['99-24=75']
Exploring Operation: 33-8=25, Resulting Numbers: [75, 25]
Generated Node #3: [75, 25] from Operation: 33-8=25
Current State: 100:[75, 25], Operations: ['99-24=75', '33-8=25']
Exploring Operation: 75+25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[99, 24, 8, 33], Operations: []
Exploring Operation: 33-8=25, Resulting Numbers: [99, 24, 25]
Generated Node #0,0: 100:[99, 24, 25] Operation: 33-8=25
Exploring Operation: 99/33=3, Resulting Numbers: [24, 8, 3]
Generated Node #0,1: 100:[24, 8, 3] Operation: 99/33=3
Exploring Operation: 33-24=9, Resulting Numbers: [99, 8, 9]
Generated Node #0,2: 100:[99, 8, 9] Operation: 33-24=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[99, 24, 25], Operations: ['33-8=25']
Exploring Operation: 99+24=123, Resulting Numbers: [25, 123]
Generated Node #0,0,0: 100:[25, 123] Operation: 99+24=123
Exploring Operation: 25-24=1, Resulting Numbers: [99, 1]
Generated Node #0,0,1: 100:[99, 1] Operation: 25-24=1
Exploring Operation: 24+25=49, Resulting Numbers: [99, 49]
Generated Node #0,0,2: 100:[99, 49] Operation: 24+25=49
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 100:[99, 1], Operations: ['33-8=25', '25-24=1']
Exploring Operation: 99/1=99, Resulting Numbers: [99]
99,100 unequal: No Solution
Exploring Operation: 99+1=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[99, 24, 8, 33], Operations: []
Exploring Operation: 33-8=25, Resulting Numbers: [99, 24, 25]
Generated Node #0,0: 100:[99, 24, 25] Operation: 33-8=25
Moving to Node #0,0
Current State: 100:[99, 24, 25], Operations: ['33-8=25']
Exploring Operation: 25-24=1, Resulting Numbers: [99, 1]
Generated Node #0,0,1: 100:[99, 1] Operation: 25-24=1
Moving to Node #0,0,1
Current State: 100:[99, 1], Operations: ['33-8=25', '25-24=1']
Exploring Operation: 99+1=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
13,
91,
67,
91
] | 31 | [
"91/13=7",
"91-67=24",
"7+24=31"
] | Current State: 31:[13, 91, 67, 91], Operations: []
Exploring Operation: 91/13=7, Resulting Numbers: [67, 7]
Generated Node #2: [67, 7] from Operation: 91/13=7
Current State: 31:[67, 7], Operations: ['91/13=7']
Exploring Operation: 91-67=24, Resulting Numbers: [7, 24]
Generated Node #3: [7, 24] from Operation: 91-67=24
Current State: 31:[7, 24], Operations: ['91/13=7', '91-67=24']
Exploring Operation: 7+24=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[13, 91, 67, 91], Operations: []
Exploring Operation: 91/91=1, Resulting Numbers: [13, 67, 1]
Generated Node #0,0: 31:[13, 67, 1] Operation: 91/91=1
Moving to Node #0,0
Current State: 31:[13, 67, 1], Operations: ['91/91=1']
Exploring Operation: 67-13=54, Resulting Numbers: [1, 54]
Generated Node #0,0,0: 31:[1, 54] Operation: 67-13=54
Moving to Node #0,0,0
Current State: 31:[1, 54], Operations: ['91/91=1', '67-13=54']
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,31 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
76,
75,
68,
58
] | 72 | [
"75-58=17",
"68/17=4",
"76-4=72"
] | Current State: 72:[76, 75, 68, 58], Operations: []
Exploring Operation: 75-58=17, Resulting Numbers: [76, 68, 17]
Generated Node #2: [76, 68, 17] from Operation: 75-58=17
Current State: 72:[76, 68, 17], Operations: ['75-58=17']
Exploring Operation: 68/17=4, Resulting Numbers: [76, 4]
Generated Node #3: [76, 4] from Operation: 68/17=4
Current State: 72:[76, 4], Operations: ['75-58=17', '68/17=4']
Exploring Operation: 76-4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[76, 75, 68, 58], Operations: []
Exploring Operation: 76-58=18, Resulting Numbers: [75, 68, 18]
Generated Node #0,0: 72:[75, 68, 18] Operation: 76-58=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[75, 68, 18], Operations: ['76-58=18']
Exploring Operation: 75-68=7, Resulting Numbers: [18, 7]
Generated Node #0,0,0: 72:[18, 7] Operation: 75-68=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 72:[18, 7], Operations: ['76-58=18', '75-68=7']
Exploring Operation: 18+7=25, Resulting Numbers: [25]
25,72 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 |
[
73,
65,
3,
9
] | 99 | [
"73-65=8",
"3+8=11",
"9*11=99"
] | Current State: 99:[73, 65, 3, 9], Operations: []
Exploring Operation: 73-65=8, Resulting Numbers: [3, 9, 8]
Generated Node #2: [3, 9, 8] from Operation: 73-65=8
Current State: 99:[3, 9, 8], Operations: ['73-65=8']
Exploring Operation: 3+8=11, Resulting Numbers: [9, 11]
Generated Node #3: [9, 11] from Operation: 3+8=11
Current State: 99:[9, 11], Operations: ['73-65=8', '3+8=11']
Exploring Operation: 9*11=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[73, 65, 3, 9], Operations: []
Exploring Operation: 73+65=138, Resulting Numbers: [3, 9, 138]
Generated Node #0,0: 99:[3, 9, 138] Operation: 73+65=138
Exploring Operation: 73-65=8, Resulting Numbers: [3, 9, 8]
Generated Node #0,1: 99:[3, 9, 8] Operation: 73-65=8
Exploring Operation: 73+9=82, Resulting Numbers: [65, 3, 82]
Generated Node #0,2: 99:[65, 3, 82] Operation: 73+9=82
Exploring Operation: 65-9=56, Resulting Numbers: [73, 3, 56]
Generated Node #0,3: 99:[73, 3, 56] Operation: 65-9=56
Exploring Operation: 65+9=74, Resulting Numbers: [73, 3, 74]
Generated Node #0,4: 99:[73, 3, 74] Operation: 65+9=74
Moving to Node #0,1
Current State: 99:[3, 9, 8], Operations: ['73-65=8']
Exploring Operation: 8-3=5, Resulting Numbers: [9, 5]
Generated Node #0,1,0: 99:[9, 5] Operation: 8-3=5
Exploring Operation: 9/3=3, Resulting Numbers: [8, 3]
Generated Node #0,1,1: 99:[8, 3] Operation: 9/3=3
Exploring Operation: 3+8=11, Resulting Numbers: [9, 11]
Generated Node #0,1,2: 99:[9, 11] Operation: 3+8=11
Exploring Operation: 9-8=1, Resulting Numbers: [3, 1]
Generated Node #0,1,3: 99:[3, 1] Operation: 9-8=1
Exploring Operation: 3+9=12, Resulting Numbers: [8, 12]
Generated Node #0,1,4: 99:[8, 12] Operation: 3+9=12
Moving to Node #0,0
Current State: 99:[3, 9, 138], Operations: ['73+65=138']
Exploring Operation: 138-9=129, Resulting Numbers: [3, 129]
Generated Node #0,0,0: 99:[3, 129] Operation: 138-9=129
Exploring Operation: 3+9=12, Resulting Numbers: [138, 12]
Generated Node #0,0,1: 99:[138, 12] Operation: 3+9=12
Exploring Operation: 138-3=135, Resulting Numbers: [9, 135]
Generated Node #0,0,2: 99:[9, 135] Operation: 138-3=135
Exploring Operation: 9/3=3, Resulting Numbers: [138, 3]
Generated Node #0,0,3: 99:[138, 3] Operation: 9/3=3
Exploring Operation: 138/3=46, Resulting Numbers: [9, 46]
Generated Node #0,0,4: 99:[9, 46] Operation: 138/3=46
Moving to Node #0,2
Current State: 99:[65, 3, 82], Operations: ['73+9=82']
Exploring Operation: 65+82=147, Resulting Numbers: [3, 147]
Generated Node #0,2,0: 99:[3, 147] Operation: 65+82=147
Exploring Operation: 65-3=62, Resulting Numbers: [82, 62]
Generated Node #0,2,1: 99:[82, 62] Operation: 65-3=62
Exploring Operation: 3+82=85, Resulting Numbers: [65, 85]
Generated Node #0,2,2: 99:[65, 85] Operation: 3+82=85
Exploring Operation: 65+3=68, Resulting Numbers: [82, 68]
Generated Node #0,2,3: 99:[82, 68] Operation: 65+3=68
Exploring Operation: 82-65=17, Resulting Numbers: [3, 17]
Generated Node #0,2,4: 99:[3, 17] Operation: 82-65=17
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 99:[3, 17], Operations: ['73+9=82', '82-65=17']
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,99 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,99 unequal: No Solution
Exploring Operation: 3*17=51, Resulting Numbers: [51]
51,99 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:[82, 62], Operations: ['73+9=82', '65-3=62']
Exploring Operation: 82*62=5084, Resulting Numbers: [5084]
5084,99 unequal: No Solution
Exploring Operation: 82+62=144, Resulting Numbers: [144]
144,99 unequal: No Solution
Exploring Operation: 82-62=20, Resulting Numbers: [20]
20,99 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:[65, 85], Operations: ['73+9=82', '3+82=85']
Exploring Operation: 65+85=150, Resulting Numbers: [150]
150,99 unequal: No Solution
Exploring Operation: 65*85=5525, Resulting Numbers: [5525]
5525,99 unequal: No Solution
Exploring Operation: 85-65=20, Resulting Numbers: [20]
20,99 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 #0,2,0
Current State: 99:[3, 147], Operations: ['73+9=82', '65+82=147']
Exploring Operation: 3+147=150, Resulting Numbers: [150]
150,99 unequal: No Solution
Exploring Operation: 147-3=144, Resulting Numbers: [144]
144,99 unequal: No Solution
Exploring Operation: 3*147=441, Resulting Numbers: [441]
441,99 unequal: No Solution
Exploring Operation: 147/3=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:[82, 68], Operations: ['73+9=82', '65+3=68']
Exploring Operation: 82-68=14, Resulting Numbers: [14]
14,99 unequal: No Solution
Exploring Operation: 82+68=150, Resulting Numbers: [150]
150,99 unequal: No Solution
Exploring Operation: 82*68=5576, Resulting Numbers: [5576]
5576,99 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: 99:[73, 3, 56], Operations: ['65-9=56']
Exploring Operation: 73+3=76, Resulting Numbers: [56, 76]
Generated Node #0,3,0: 99:[56, 76] Operation: 73+3=76
Exploring Operation: 73-3=70, Resulting Numbers: [56, 70]
Generated Node #0,3,1: 99:[56, 70] Operation: 73-3=70
Exploring Operation: 73+56=129, Resulting Numbers: [3, 129]
Generated Node #0,3,2: 99:[3, 129] Operation: 73+56=129
Exploring Operation: 56-3=53, Resulting Numbers: [73, 53]
Generated Node #0,3,3: 99:[73, 53] Operation: 56-3=53
Exploring Operation: 73-56=17, Resulting Numbers: [3, 17]
Generated Node #0,3,4: 99:[3, 17] Operation: 73-56=17
Moving to Node #0,4
Current State: 99:[73, 3, 74], Operations: ['65+9=74']
Exploring Operation: 74-73=1, Resulting Numbers: [3, 1]
Generated Node #0,4,0: 99:[3, 1] Operation: 74-73=1
Exploring Operation: 3+74=77, Resulting Numbers: [73, 77]
Generated Node #0,4,1: 99:[73, 77] Operation: 3+74=77
Exploring Operation: 73+3=76, Resulting Numbers: [74, 76]
Generated Node #0,4,2: 99:[74, 76] Operation: 73+3=76
Exploring Operation: 73+74=147, Resulting Numbers: [3, 147]
Generated Node #0,4,3: 99:[3, 147] Operation: 73+74=147
Exploring Operation: 73-3=70, Resulting Numbers: [74, 70]
Generated Node #0,4,4: 99:[74, 70] Operation: 73-3=70
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 99:[3, 1], Operations: ['65+9=74', '74-73=1']
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,99 unequal: No Solution
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,99 unequal: No Solution
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,99 unequal: No Solution
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,99 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 #0,4,1
Current State: 99:[73, 77], Operations: ['65+9=74', '3+74=77']
Exploring Operation: 73+77=150, Resulting Numbers: [150]
150,99 unequal: No Solution
Exploring Operation: 77-73=4, Resulting Numbers: [4]
4,99 unequal: No Solution
Exploring Operation: 73*77=5621, Resulting Numbers: [5621]
5621,99 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 #0,4,2
Current State: 99:[74, 76], Operations: ['65+9=74', '73+3=76']
Exploring Operation: 74*76=5624, Resulting Numbers: [5624]
5624,99 unequal: No Solution
Exploring Operation: 74+76=150, Resulting Numbers: [150]
150,99 unequal: No Solution
Exploring Operation: 76-74=2, Resulting Numbers: [2]
2,99 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 #0,4,3
Current State: 99:[3, 147], Operations: ['65+9=74', '73+74=147']
Exploring Operation: 147/3=49, Resulting Numbers: [49]
49,99 unequal: No Solution
Exploring Operation: 147-3=144, Resulting Numbers: [144]
144,99 unequal: No Solution
Exploring Operation: 3+147=150, Resulting Numbers: [150]
150,99 unequal: No Solution
Exploring Operation: 3*147=441, Resulting Numbers: [441]
441,99 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 #0,4,4
Current State: 99:[74, 70], Operations: ['65+9=74', '73-3=70']
Exploring Operation: 74+70=144, Resulting Numbers: [144]
144,99 unequal: No Solution
Exploring Operation: 74-70=4, Resulting Numbers: [4]
4,99 unequal: No Solution
Exploring Operation: 74*70=5180, Resulting Numbers: [5180]
5180,99 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: 99:[9, 11], Operations: ['73-65=8', '3+8=11']
Exploring Operation: 11-9=2, Resulting Numbers: [2]
2,99 unequal: No Solution
Exploring Operation: 9+11=20, Resulting Numbers: [20]
20,99 unequal: No Solution
Exploring Operation: 9*11=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[73, 65, 3, 9], Operations: []
Exploring Operation: 73-65=8, Resulting Numbers: [3, 9, 8]
Generated Node #0,1: 99:[3, 9, 8] Operation: 73-65=8
Moving to Node #0,1
Current State: 99:[3, 9, 8], Operations: ['73-65=8']
Exploring Operation: 3+8=11, Resulting Numbers: [9, 11]
Generated Node #0,1,2: 99:[9, 11] Operation: 3+8=11
Moving to Node #0,1,2
Current State: 99:[9, 11], Operations: ['73-65=8', '3+8=11']
Exploring Operation: 9*11=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 0.939236 | hs_5 | mult_heuristic |
[
42,
24,
17,
48
] | 49 | [
"42-24=18",
"48-17=31",
"18+31=49"
] | Current State: 49:[42, 24, 17, 48], Operations: []
Exploring Operation: 42-24=18, Resulting Numbers: [17, 48, 18]
Generated Node #2: [17, 48, 18] from Operation: 42-24=18
Current State: 49:[17, 48, 18], Operations: ['42-24=18']
Exploring Operation: 48-17=31, Resulting Numbers: [18, 31]
Generated Node #3: [18, 31] from Operation: 48-17=31
Current State: 49:[18, 31], Operations: ['42-24=18', '48-17=31']
Exploring Operation: 18+31=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[42, 24, 17, 48], Operations: []
Exploring Operation: 24+17=41, Resulting Numbers: [42, 48, 41]
Generated Node #0,0: 49:[42, 48, 41] Operation: 24+17=41
Exploring Operation: 24-17=7, Resulting Numbers: [42, 48, 7]
Generated Node #0,1: 49:[42, 48, 7] Operation: 24-17=7
Moving to Node #0,1
Current State: 49:[42, 48, 7], Operations: ['24-17=7']
Exploring Operation: 42+7=49, Resulting Numbers: [48, 49]
Generated Node #0,1,0: 49:[48, 49] Operation: 42+7=49
Exploring Operation: 48-42=6, Resulting Numbers: [7, 6]
Generated Node #0,1,1: 49:[7, 6] Operation: 48-42=6
Moving to Node #0,0
Current State: 49:[42, 48, 41], Operations: ['24+17=41']
Exploring Operation: 48-41=7, Resulting Numbers: [42, 7]
Generated Node #0,0,0: 49:[42, 7] Operation: 48-41=7
Exploring Operation: 42-41=1, Resulting Numbers: [48, 1]
Generated Node #0,0,1: 49:[48, 1] Operation: 42-41=1
Moving to Node #0,1,0
Current State: 49:[48, 49], Operations: ['24-17=7', '42+7=49']
Exploring Operation: 49-48=1, Resulting Numbers: [1]
1,49 unequal: No Solution
Exploring Operation: 48+49=97, Resulting Numbers: [97]
97,49 unequal: No Solution
Moving to Node #0,1,1
Current State: 49:[7, 6], Operations: ['24-17=7', '48-42=6']
Exploring Operation: 7+6=13, Resulting Numbers: [13]
13,49 unequal: No Solution
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,49 unequal: No Solution
Moving to Node #0,0,1
Current State: 49:[48, 1], Operations: ['24+17=41', '42-41=1']
Exploring Operation: 48+1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[42, 24, 17, 48], Operations: []
Exploring Operation: 24+17=41, Resulting Numbers: [42, 48, 41]
Generated Node #0,0: 49:[42, 48, 41] Operation: 24+17=41
Moving to Node #0,0
Current State: 49:[42, 48, 41], Operations: ['24+17=41']
Exploring Operation: 42-41=1, Resulting Numbers: [48, 1]
Generated Node #0,0,1: 49:[48, 1] Operation: 42-41=1
Moving to Node #0,0,1
Current State: 49:[48, 1], Operations: ['24+17=41', '42-41=1']
Exploring Operation: 48+1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 0.986979 | hs_2 | sum_heuristic |
[
62,
53,
51,
29
] | 31 | [
"62-53=9",
"51-29=22",
"9+22=31"
] | Current State: 31:[62, 53, 51, 29], Operations: []
Exploring Operation: 62-53=9, Resulting Numbers: [51, 29, 9]
Generated Node #2: [51, 29, 9] from Operation: 62-53=9
Current State: 31:[51, 29, 9], Operations: ['62-53=9']
Exploring Operation: 51-29=22, Resulting Numbers: [9, 22]
Generated Node #3: [9, 22] from Operation: 51-29=22
Current State: 31:[9, 22], Operations: ['62-53=9', '51-29=22']
Exploring Operation: 9+22=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[62, 53, 51, 29], Operations: []
Exploring Operation: 62-51=11, Resulting Numbers: [53, 29, 11]
Generated Node #0,0: 31:[53, 29, 11] Operation: 62-51=11
Exploring Operation: 62-29=33, Resulting Numbers: [53, 51, 33]
Generated Node #0,1: 31:[53, 51, 33] Operation: 62-29=33
Exploring Operation: 62-53=9, Resulting Numbers: [51, 29, 9]
Generated Node #0,2: 31:[51, 29, 9] Operation: 62-53=9
Exploring Operation: 53-29=24, Resulting Numbers: [62, 51, 24]
Generated Node #0,3: 31:[62, 51, 24] Operation: 53-29=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[53, 29, 11], Operations: ['62-51=11']
Exploring Operation: 53-11=42, Resulting Numbers: [29, 42]
Generated Node #0,0,0: 31:[29, 42] Operation: 53-11=42
Exploring Operation: 53-29=24, Resulting Numbers: [11, 24]
Generated Node #0,0,1: 31:[11, 24] Operation: 53-29=24
Exploring Operation: 29+11=40, Resulting Numbers: [53, 40]
Generated Node #0,0,2: 31:[53, 40] Operation: 29+11=40
Exploring Operation: 53+11=64, Resulting Numbers: [29, 64]
Generated Node #0,0,3: 31:[29, 64] Operation: 53+11=64
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 31:[29, 42], Operations: ['62-51=11', '53-11=42']
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,31 unequal: No Solution
Exploring Operation: 29+42=71, Resulting Numbers: [71]
71,31 unequal: No Solution
Exploring Operation: 29*42=1218, Resulting Numbers: [1218]
1218,31 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:[11, 24], Operations: ['62-51=11', '53-29=24']
Exploring Operation: 11+24=35, Resulting Numbers: [35]
35,31 unequal: No Solution
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,31 unequal: No Solution
Exploring Operation: 11*24=264, Resulting Numbers: [264]
264,31 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 #0,0,2
Current State: 31:[53, 40], Operations: ['62-51=11', '29+11=40']
Exploring Operation: 53*40=2120, Resulting Numbers: [2120]
2120,31 unequal: No Solution
Exploring Operation: 53+40=93, Resulting Numbers: [93]
93,31 unequal: No Solution
Exploring Operation: 53-40=13, Resulting Numbers: [13]
13,31 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:[29, 64], Operations: ['62-51=11', '53+11=64']
Exploring Operation: 29+64=93, Resulting Numbers: [93]
93,31 unequal: No Solution
Exploring Operation: 29*64=1856, Resulting Numbers: [1856]
1856,31 unequal: No Solution
Exploring Operation: 64-29=35, Resulting Numbers: [35]
35,31 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:[53, 51, 33], Operations: ['62-29=33']
Exploring Operation: 53-33=20, Resulting Numbers: [51, 20]
Generated Node #0,1,0: 31:[51, 20] Operation: 53-33=20
Exploring Operation: 53-51=2, Resulting Numbers: [33, 2]
Generated Node #0,1,1: 31:[33, 2] Operation: 53-51=2
Exploring Operation: 51-33=18, Resulting Numbers: [53, 18]
Generated Node #0,1,2: 31:[53, 18] Operation: 51-33=18
Exploring Operation: 53+51=104, Resulting Numbers: [33, 104]
Generated Node #0,1,3: 31:[33, 104] Operation: 53+51=104
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 31:[51, 20], Operations: ['62-29=33', '53-33=20']
Exploring Operation: 51-20=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[62, 53, 51, 29], Operations: []
Exploring Operation: 62-29=33, Resulting Numbers: [53, 51, 33]
Generated Node #0,1: 31:[53, 51, 33] Operation: 62-29=33
Moving to Node #0,1
Current State: 31:[53, 51, 33], Operations: ['62-29=33']
Exploring Operation: 53-33=20, Resulting Numbers: [51, 20]
Generated Node #0,1,0: 31:[51, 20] Operation: 53-33=20
Moving to Node #0,1,0
Current State: 31:[51, 20], Operations: ['62-29=33', '53-33=20']
Exploring Operation: 51-20=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.974826 | hs_4 | sum_heuristic |
[
22,
72,
92,
2
] | 62 | [
"92-72=20",
"2*20=40",
"22+40=62"
] | Current State: 62:[22, 72, 92, 2], Operations: []
Exploring Operation: 92-72=20, Resulting Numbers: [22, 2, 20]
Generated Node #2: [22, 2, 20] from Operation: 92-72=20
Current State: 62:[22, 2, 20], Operations: ['92-72=20']
Exploring Operation: 2*20=40, Resulting Numbers: [22, 40]
Generated Node #3: [22, 40] from Operation: 2*20=40
Current State: 62:[22, 40], Operations: ['92-72=20', '2*20=40']
Exploring Operation: 22+40=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[22, 72, 92, 2], Operations: []
Exploring Operation: 92-22=70, Resulting Numbers: [72, 2, 70]
Generated Node #0,0: 62:[72, 2, 70] Operation: 92-22=70
Exploring Operation: 92-72=20, Resulting Numbers: [22, 2, 20]
Generated Node #0,1: 62:[22, 2, 20] Operation: 92-72=20
Exploring Operation: 72-22=50, Resulting Numbers: [92, 2, 50]
Generated Node #0,2: 62:[92, 2, 50] Operation: 72-22=50
Exploring Operation: 92/2=46, Resulting Numbers: [22, 72, 46]
Generated Node #0,3: 62:[22, 72, 46] Operation: 92/2=46
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[72, 2, 70], Operations: ['92-22=70']
Exploring Operation: 72/2=36, Resulting Numbers: [70, 36]
Generated Node #0,0,0: 62:[70, 36] Operation: 72/2=36
Exploring Operation: 72-2=70, Resulting Numbers: [70, 70]
Generated Node #0,0,1: 62:[70, 70] Operation: 72-2=70
Exploring Operation: 72-70=2, Resulting Numbers: [2, 2]
Generated Node #0,0,2: 62:[2, 2] Operation: 72-70=2
Exploring Operation: 70/2=35, Resulting Numbers: [72, 35]
Generated Node #0,0,3: 62:[72, 35] Operation: 70/2=35
Moving to Node #0,0,2
Current State: 62:[2, 2], Operations: ['92-22=70', '72-70=2']
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,62 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,62 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,62 unequal: No Solution
Moving to Node #0,0,0
Current State: 62:[70, 36], Operations: ['92-22=70', '72/2=36']
Exploring Operation: 70-36=34, Resulting Numbers: [34]
34,62 unequal: No Solution
Exploring Operation: 70+36=106, Resulting Numbers: [106]
106,62 unequal: No Solution
Exploring Operation: 70*36=2520, Resulting Numbers: [2520]
2520,62 unequal: No Solution
Moving to Node #0,0,3
Current State: 62:[72, 35], Operations: ['92-22=70', '70/2=35']
Exploring Operation: 72-35=37, Resulting Numbers: [37]
37,62 unequal: No Solution
Exploring Operation: 72+35=107, Resulting Numbers: [107]
107,62 unequal: No Solution
Exploring Operation: 72*35=2520, Resulting Numbers: [2520]
2520,62 unequal: No Solution
Moving to Node #0,0,1
Current State: 62:[70, 70], Operations: ['92-22=70', '72-2=70']
Exploring Operation: 70/70=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Exploring Operation: 70+70=140, Resulting Numbers: [140]
140,62 unequal: No Solution
Exploring Operation: 70*70=4900, Resulting Numbers: [4900]
4900,62 unequal: No Solution
Exploring Operation: 70-70=0, Resulting Numbers: [0]
0,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 62:[22, 2, 20], Operations: ['92-72=20']
Exploring Operation: 20/2=10, Resulting Numbers: [22, 10]
Generated Node #0,1,0: 62:[22, 10] Operation: 20/2=10
Exploring Operation: 22+2=24, Resulting Numbers: [20, 24]
Generated Node #0,1,1: 62:[20, 24] Operation: 22+2=24
Exploring Operation: 22-20=2, Resulting Numbers: [2, 2]
Generated Node #0,1,2: 62:[2, 2] Operation: 22-20=2
Exploring Operation: 22+20=42, Resulting Numbers: [2, 42]
Generated Node #0,1,3: 62:[2, 42] Operation: 22+20=42
Moving to Node #0,1,2
Current State: 62:[2, 2], Operations: ['92-72=20', '22-20=2']
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,62 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,62 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,62 unequal: No Solution
Moving to Node #0,1,3
Current State: 62:[2, 42], Operations: ['92-72=20', '22+20=42']
Exploring Operation: 2*42=84, Resulting Numbers: [84]
84,62 unequal: No Solution
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,62 unequal: No Solution
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,62 unequal: No Solution
Exploring Operation: 2+42=44, Resulting Numbers: [44]
44,62 unequal: No Solution
Moving to Node #0,1,0
Current State: 62:[22, 10], Operations: ['92-72=20', '20/2=10']
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,62 unequal: No Solution
Exploring Operation: 22*10=220, Resulting Numbers: [220]
220,62 unequal: No Solution
Exploring Operation: 22+10=32, Resulting Numbers: [32]
32,62 unequal: No Solution
Moving to Node #0,1,1
Current State: 62:[20, 24], Operations: ['92-72=20', '22+2=24']
Exploring Operation: 24-20=4, Resulting Numbers: [4]
4,62 unequal: No Solution
Exploring Operation: 20*24=480, Resulting Numbers: [480]
480,62 unequal: No Solution
Exploring Operation: 20+24=44, Resulting Numbers: [44]
44,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 62:[22, 72, 46], Operations: ['92/2=46']
Exploring Operation: 46-22=24, Resulting Numbers: [72, 24]
Generated Node #0,3,0: 62:[72, 24] Operation: 46-22=24
Exploring Operation: 72-22=50, Resulting Numbers: [46, 50]
Generated Node #0,3,1: 62:[46, 50] Operation: 72-22=50
Exploring Operation: 22+46=68, Resulting Numbers: [72, 68]
Generated Node #0,3,2: 62:[72, 68] Operation: 22+46=68
Exploring Operation: 72-46=26, Resulting Numbers: [22, 26]
Generated Node #0,3,3: 62:[22, 26] Operation: 72-46=26
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 62:[22, 26], Operations: ['92/2=46', '72-46=26']
Exploring Operation: 22+26=48, Resulting Numbers: [48]
48,62 unequal: No Solution
Exploring Operation: 22*26=572, Resulting Numbers: [572]
572,62 unequal: No Solution
Exploring Operation: 26-22=4, Resulting Numbers: [4]
4,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 62:[72, 68], Operations: ['92/2=46', '22+46=68']
Exploring Operation: 72*68=4896, Resulting Numbers: [4896]
4896,62 unequal: No Solution
Exploring Operation: 72+68=140, Resulting Numbers: [140]
140,62 unequal: No Solution
Exploring Operation: 72-68=4, Resulting Numbers: [4]
4,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 62:[72, 24], Operations: ['92/2=46', '46-22=24']
Exploring Operation: 72-24=48, Resulting Numbers: [48]
48,62 unequal: No Solution
Exploring Operation: 72/24=3, Resulting Numbers: [3]
3,62 unequal: No Solution
Exploring Operation: 72*24=1728, Resulting Numbers: [1728]
1728,62 unequal: No Solution
Exploring Operation: 72+24=96, Resulting Numbers: [96]
96,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 62:[46, 50], Operations: ['92/2=46', '72-22=50']
Exploring Operation: 50-46=4, Resulting Numbers: [4]
4,62 unequal: No Solution
Exploring Operation: 46+50=96, Resulting Numbers: [96]
96,62 unequal: No Solution
Exploring Operation: 46*50=2300, Resulting Numbers: [2300]
2300,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 62:[92, 2, 50], Operations: ['72-22=50']
Exploring Operation: 92/2=46, Resulting Numbers: [50, 46]
Generated Node #0,2,0: 62:[50, 46] Operation: 92/2=46
Exploring Operation: 92-50=42, Resulting Numbers: [2, 42]
Generated Node #0,2,1: 62:[2, 42] Operation: 92-50=42
Exploring Operation: 50/2=25, Resulting Numbers: [92, 25]
Generated Node #0,2,2: 62:[92, 25] Operation: 50/2=25
Exploring Operation: 92-2=90, Resulting Numbers: [50, 90]
Generated Node #0,2,3: 62:[50, 90] Operation: 92-2=90
Moving to Node #0,2,1
Current State: 62:[2, 42], Operations: ['72-22=50', '92-50=42']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,62 unequal: No Solution
Exploring Operation: 2+42=44, Resulting Numbers: [44]
44,62 unequal: No Solution
Exploring Operation: 2*42=84, Resulting Numbers: [84]
84,62 unequal: No Solution
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,62 unequal: No Solution
Moving to Node #0,2,0
Current State: 62:[50, 46], Operations: ['72-22=50', '92/2=46']
Exploring Operation: 50*46=2300, Resulting Numbers: [2300]
2300,62 unequal: No Solution
Exploring Operation: 50-46=4, Resulting Numbers: [4]
4,62 unequal: No Solution
Exploring Operation: 50+46=96, Resulting Numbers: [96]
96,62 unequal: No Solution
Moving to Node #0,2,2
Current State: 62:[92, 25], Operations: ['72-22=50', '50/2=25']
Exploring Operation: 92-25=67, Resulting Numbers: [67]
67,62 unequal: No Solution
Exploring Operation: 92+25=117, Resulting Numbers: [117]
117,62 unequal: No Solution
Exploring Operation: 92*25=2300, Resulting Numbers: [2300]
2300,62 unequal: No Solution
Moving to Node #0,2,3
Current State: 62:[50, 90], Operations: ['72-22=50', '92-2=90']
Exploring Operation: 50*90=4500, Resulting Numbers: [4500]
4500,62 unequal: No Solution
Exploring Operation: 90-50=40, Resulting Numbers: [40]
40,62 unequal: No Solution
Exploring Operation: 50+90=140, Resulting Numbers: [140]
140,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
66,
54,
96,
63
] | 71 | [
"66-54=12",
"96/12=8",
"63+8=71"
] | Current State: 71:[66, 54, 96, 63], Operations: []
Exploring Operation: 66-54=12, Resulting Numbers: [96, 63, 12]
Generated Node #2: [96, 63, 12] from Operation: 66-54=12
Current State: 71:[96, 63, 12], Operations: ['66-54=12']
Exploring Operation: 96/12=8, Resulting Numbers: [63, 8]
Generated Node #3: [63, 8] from Operation: 96/12=8
Current State: 71:[63, 8], Operations: ['66-54=12', '96/12=8']
Exploring Operation: 63+8=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[66, 54, 96, 63], Operations: []
Exploring Operation: 96-63=33, Resulting Numbers: [66, 54, 33]
Generated Node #0,0: 71:[66, 54, 33] Operation: 96-63=33
Exploring Operation: 96-66=30, Resulting Numbers: [54, 63, 30]
Generated Node #0,1: 71:[54, 63, 30] Operation: 96-66=30
Exploring Operation: 96-54=42, Resulting Numbers: [66, 63, 42]
Generated Node #0,2: 71:[66, 63, 42] Operation: 96-54=42
Start Sub Search at level 1: Moving to Node #0,2
Current State: 71:[66, 63, 42], Operations: ['96-54=42']
Exploring Operation: 63+42=105, Resulting Numbers: [66, 105]
Generated Node #0,2,0: 71:[66, 105] Operation: 63+42=105
Exploring Operation: 66-42=24, Resulting Numbers: [63, 24]
Generated Node #0,2,1: 71:[63, 24] Operation: 66-42=24
Exploring Operation: 66+42=108, Resulting Numbers: [63, 108]
Generated Node #0,2,2: 71:[63, 108] Operation: 66+42=108
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 71:[66, 105], Operations: ['96-54=42', '63+42=105']
Exploring Operation: 105-66=39, Resulting Numbers: [39]
39,71 unequal: No Solution
Exploring Operation: 66+105=171, Resulting Numbers: [171]
171,71 unequal: No Solution
Exploring Operation: 66*105=6930, Resulting Numbers: [6930]
6930,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 71:[63, 108], Operations: ['96-54=42', '66+42=108']
Exploring Operation: 63*108=6804, Resulting Numbers: [6804]
6804,71 unequal: No Solution
Exploring Operation: 63+108=171, Resulting Numbers: [171]
171,71 unequal: No Solution
Exploring Operation: 108-63=45, Resulting Numbers: [45]
45,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 71:[63, 24], Operations: ['96-54=42', '66-42=24']
Exploring Operation: 63*24=1512, Resulting Numbers: [1512]
1512,71 unequal: No Solution
Exploring Operation: 63+24=87, Resulting Numbers: [87]
87,71 unequal: No Solution
Exploring Operation: 63-24=39, Resulting Numbers: [39]
39,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[66, 54, 33], Operations: ['96-63=33']
Exploring Operation: 66+33=99, Resulting Numbers: [54, 99]
Generated Node #0,0,0: 71:[54, 99] Operation: 66+33=99
Exploring Operation: 66-33=33, Resulting Numbers: [54, 33]
Generated Node #0,0,1: 71:[54, 33] Operation: 66-33=33
Exploring Operation: 54+33=87, Resulting Numbers: [66, 87]
Generated Node #0,0,2: 71:[66, 87] Operation: 54+33=87
Moving to Node #0,0,2
Current State: 71:[66, 87], Operations: ['96-63=33', '54+33=87']
Exploring Operation: 87-66=21, Resulting Numbers: [21]
21,71 unequal: No Solution
Exploring Operation: 66*87=5742, Resulting Numbers: [5742]
5742,71 unequal: No Solution
Exploring Operation: 66+87=153, Resulting Numbers: [153]
153,71 unequal: No Solution
Moving to Node #0,0,0
Current State: 71:[54, 99], Operations: ['96-63=33', '66+33=99']
Exploring Operation: 99-54=45, Resulting Numbers: [45]
45,71 unequal: No Solution
Exploring Operation: 54+99=153, Resulting Numbers: [153]
153,71 unequal: No Solution
Exploring Operation: 54*99=5346, Resulting Numbers: [5346]
5346,71 unequal: No Solution
Moving to Node #0,0,1
Current State: 71:[54, 33], Operations: ['96-63=33', '66-33=33']
Exploring Operation: 54+33=87, Resulting Numbers: [87]
87,71 unequal: No Solution
Exploring Operation: 54*33=1782, Resulting Numbers: [1782]
1782,71 unequal: No Solution
Exploring Operation: 54-33=21, Resulting Numbers: [21]
21,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 71:[54, 63, 30], Operations: ['96-66=30']
Exploring Operation: 54-30=24, Resulting Numbers: [63, 24]
Generated Node #0,1,0: 71:[63, 24] Operation: 54-30=24
Exploring Operation: 54+30=84, Resulting Numbers: [63, 84]
Generated Node #0,1,1: 71:[63, 84] Operation: 54+30=84
Exploring Operation: 63+30=93, Resulting Numbers: [54, 93]
Generated Node #0,1,2: 71:[54, 93] Operation: 63+30=93
Moving to Node #0,1,1
Current State: 71:[63, 84], Operations: ['96-66=30', '54+30=84']
Exploring Operation: 84-63=21, Resulting Numbers: [21]
21,71 unequal: No Solution
Exploring Operation: 63*84=5292, Resulting Numbers: [5292]
5292,71 unequal: No Solution
Exploring Operation: 63+84=147, Resulting Numbers: [147]
147,71 unequal: No Solution
Moving to Node #0,1,2
Current State: 71:[54, 93], Operations: ['96-66=30', '63+30=93']
Exploring Operation: 93-54=39, Resulting Numbers: [39]
39,71 unequal: No Solution
Exploring Operation: 54+93=147, Resulting Numbers: [147]
147,71 unequal: No Solution
Exploring Operation: 54*93=5022, Resulting Numbers: [5022]
5022,71 unequal: No Solution
Moving to Node #0,1,0
Current State: 71:[63, 24], Operations: ['96-66=30', '54-30=24']
Exploring Operation: 63*24=1512, Resulting Numbers: [1512]
1512,71 unequal: No Solution
Exploring Operation: 63-24=39, Resulting Numbers: [39]
39,71 unequal: No Solution
Exploring Operation: 63+24=87, Resulting Numbers: [87]
87,71 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 |
[
16,
16,
7,
6
] | 35 | [
"16/16=1",
"6-1=5",
"7*5=35"
] | Current State: 35:[16, 16, 7, 6], Operations: []
Exploring Operation: 16/16=1, Resulting Numbers: [7, 6, 1]
Generated Node #2: [7, 6, 1] from Operation: 16/16=1
Current State: 35:[7, 6, 1], Operations: ['16/16=1']
Exploring Operation: 6-1=5, Resulting Numbers: [7, 5]
Generated Node #3: [7, 5] from Operation: 6-1=5
Current State: 35:[7, 5], Operations: ['16/16=1', '6-1=5']
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[16, 16, 7, 6], Operations: []
Exploring Operation: 16/16=1, Resulting Numbers: [7, 6, 1]
Generated Node #0,0: 35:[7, 6, 1] Operation: 16/16=1
Exploring Operation: 16+16=32, Resulting Numbers: [7, 6, 32]
Generated Node #0,1: 35:[7, 6, 32] Operation: 16+16=32
Moving to Node #0,1
Current State: 35:[7, 6, 32], Operations: ['16+16=32']
Exploring Operation: 7+32=39, Resulting Numbers: [6, 39]
Generated Node #0,1,0: 35:[6, 39] Operation: 7+32=39
Exploring Operation: 6+32=38, Resulting Numbers: [7, 38]
Generated Node #0,1,1: 35:[7, 38] Operation: 6+32=38
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 35:[7, 38], Operations: ['16+16=32', '6+32=38']
Exploring Operation: 7+38=45, Resulting Numbers: [45]
45,35 unequal: No Solution
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 35:[6, 39], Operations: ['16+16=32', '7+32=39']
Exploring Operation: 6+39=45, Resulting Numbers: [45]
45,35 unequal: No Solution
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,35 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: 35:[7, 6, 1], Operations: ['16/16=1']
Exploring Operation: 6-1=5, Resulting Numbers: [7, 5]
Generated Node #0,0,0: 35:[7, 5] Operation: 6-1=5
Exploring Operation: 6+1=7, Resulting Numbers: [7, 7]
Generated Node #0,0,1: 35:[7, 7] Operation: 6+1=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 35:[7, 5], Operations: ['16/16=1', '6-1=5']
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,35 unequal: No Solution
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[16, 16, 7, 6], Operations: []
Exploring Operation: 16/16=1, Resulting Numbers: [7, 6, 1]
Generated Node #0,0: 35:[7, 6, 1] Operation: 16/16=1
Moving to Node #0,0
Current State: 35:[7, 6, 1], Operations: ['16/16=1']
Exploring Operation: 6-1=5, Resulting Numbers: [7, 5]
Generated Node #0,0,0: 35:[7, 5] Operation: 6-1=5
Moving to Node #0,0,0
Current State: 35:[7, 5], Operations: ['16/16=1', '6-1=5']
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_2 | sum_heuristic |
[
19,
13,
78,
4
] | 93 | [
"13-4=9",
"19*9=171",
"171-78=93"
] | Current State: 93:[19, 13, 78, 4], Operations: []
Exploring Operation: 13-4=9, Resulting Numbers: [19, 78, 9]
Generated Node #2: [19, 78, 9] from Operation: 13-4=9
Current State: 93:[19, 78, 9], Operations: ['13-4=9']
Exploring Operation: 19*9=171, Resulting Numbers: [78, 171]
Generated Node #3: [78, 171] from Operation: 19*9=171
Current State: 93:[78, 171], Operations: ['13-4=9', '19*9=171']
Exploring Operation: 171-78=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[19, 13, 78, 4], Operations: []
Exploring Operation: 19+78=97, Resulting Numbers: [13, 4, 97]
Generated Node #0,0: 93:[13, 4, 97] Operation: 19+78=97
Exploring Operation: 19+13=32, Resulting Numbers: [78, 4, 32]
Generated Node #0,1: 93:[78, 4, 32] Operation: 19+13=32
Exploring Operation: 13+78=91, Resulting Numbers: [19, 4, 91]
Generated Node #0,2: 93:[19, 4, 91] Operation: 13+78=91
Exploring Operation: 78/13=6, Resulting Numbers: [19, 4, 6]
Generated Node #0,3: 93:[19, 4, 6] Operation: 78/13=6
Moving to Node #0,0
Current State: 93:[13, 4, 97], Operations: ['19+78=97']
Exploring Operation: 13-4=9, Resulting Numbers: [97, 9]
Generated Node #0,0,0: 93:[97, 9] Operation: 13-4=9
Exploring Operation: 97-13=84, Resulting Numbers: [4, 84]
Generated Node #0,0,1: 93:[4, 84] Operation: 97-13=84
Exploring Operation: 13+4=17, Resulting Numbers: [97, 17]
Generated Node #0,0,2: 93:[97, 17] Operation: 13+4=17
Exploring Operation: 97-4=93, Resulting Numbers: [13, 93]
Generated Node #0,0,3: 93:[13, 93] Operation: 97-4=93
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 93:[97, 9], Operations: ['19+78=97', '13-4=9']
Exploring Operation: 97*9=873, Resulting Numbers: [873]
873,93 unequal: No Solution
Exploring Operation: 97+9=106, Resulting Numbers: [106]
106,93 unequal: No Solution
Exploring Operation: 97-9=88, Resulting Numbers: [88]
88,93 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 #0,0,1
Current State: 93:[4, 84], Operations: ['19+78=97', '97-13=84']
Exploring Operation: 4+84=88, Resulting Numbers: [88]
88,93 unequal: No Solution
Exploring Operation: 4*84=336, Resulting Numbers: [336]
336,93 unequal: No Solution
Exploring Operation: 84/4=21, Resulting Numbers: [21]
21,93 unequal: No Solution
Exploring Operation: 84-4=80, Resulting Numbers: [80]
80,93 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 #0,0,3
Current State: 93:[13, 93], Operations: ['19+78=97', '97-4=93']
Exploring Operation: 13*93=1209, Resulting Numbers: [1209]
1209,93 unequal: No Solution
Exploring Operation: 13+93=106, Resulting Numbers: [106]
106,93 unequal: No Solution
Exploring Operation: 93-13=80, Resulting Numbers: [80]
80,93 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 #0,0,2
Current State: 93:[97, 17], Operations: ['19+78=97', '13+4=17']
Exploring Operation: 97-17=80, Resulting Numbers: [80]
80,93 unequal: No Solution
Exploring Operation: 97*17=1649, Resulting Numbers: [1649]
1649,93 unequal: No Solution
Exploring Operation: 97+17=114, Resulting Numbers: [114]
114,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 93:[19, 4, 91], Operations: ['13+78=91']
Exploring Operation: 19+91=110, Resulting Numbers: [4, 110]
Generated Node #0,2,0: 93:[4, 110] Operation: 19+91=110
Exploring Operation: 19+4=23, Resulting Numbers: [91, 23]
Generated Node #0,2,1: 93:[91, 23] Operation: 19+4=23
Exploring Operation: 19-4=15, Resulting Numbers: [91, 15]
Generated Node #0,2,2: 93:[91, 15] Operation: 19-4=15
Exploring Operation: 4+91=95, Resulting Numbers: [19, 95]
Generated Node #0,2,3: 93:[19, 95] Operation: 4+91=95
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 93:[91, 23], Operations: ['13+78=91', '19+4=23']
Exploring Operation: 91-23=68, Resulting Numbers: [68]
68,93 unequal: No Solution
Exploring Operation: 91+23=114, Resulting Numbers: [114]
114,93 unequal: No Solution
Exploring Operation: 91*23=2093, Resulting Numbers: [2093]
2093,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 93:[91, 15], Operations: ['13+78=91', '19-4=15']
Exploring Operation: 91+15=106, Resulting Numbers: [106]
106,93 unequal: No Solution
Exploring Operation: 91*15=1365, Resulting Numbers: [1365]
1365,93 unequal: No Solution
Exploring Operation: 91-15=76, Resulting Numbers: [76]
76,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 93:[19, 95], Operations: ['13+78=91', '4+91=95']
Exploring Operation: 19+95=114, Resulting Numbers: [114]
114,93 unequal: No Solution
Exploring Operation: 95-19=76, Resulting Numbers: [76]
76,93 unequal: No Solution
Exploring Operation: 19*95=1805, Resulting Numbers: [1805]
1805,93 unequal: No Solution
Exploring Operation: 95/19=5, Resulting Numbers: [5]
5,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 93:[4, 110], Operations: ['13+78=91', '19+91=110']
Exploring Operation: 110-4=106, Resulting Numbers: [106]
106,93 unequal: No Solution
Exploring Operation: 4*110=440, Resulting Numbers: [440]
440,93 unequal: No Solution
Exploring Operation: 4+110=114, Resulting Numbers: [114]
114,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 93:[19, 4, 6], Operations: ['78/13=6']
Exploring Operation: 19+6=25, Resulting Numbers: [4, 25]
Generated Node #0,3,0: 93:[4, 25] Operation: 19+6=25
Exploring Operation: 6-4=2, Resulting Numbers: [19, 2]
Generated Node #0,3,1: 93:[19, 2] Operation: 6-4=2
Exploring Operation: 19+4=23, Resulting Numbers: [6, 23]
Generated Node #0,3,2: 93:[6, 23] Operation: 19+4=23
Exploring Operation: 19-6=13, Resulting Numbers: [4, 13]
Generated Node #0,3,3: 93:[4, 13] Operation: 19-6=13
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 93:[4, 25], Operations: ['78/13=6', '19+6=25']
Exploring Operation: 4+25=29, Resulting Numbers: [29]
29,93 unequal: No Solution
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,93 unequal: No Solution
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 93:[6, 23], Operations: ['78/13=6', '19+4=23']
Exploring Operation: 6*23=138, Resulting Numbers: [138]
138,93 unequal: No Solution
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Exploring Operation: 6+23=29, Resulting Numbers: [29]
29,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 93:[4, 13], Operations: ['78/13=6', '19-6=13']
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,93 unequal: No Solution
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,93 unequal: No Solution
Exploring Operation: 4+13=17, Resulting Numbers: [17]
17,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 93:[19, 2], Operations: ['78/13=6', '6-4=2']
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,93 unequal: No Solution
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,93 unequal: No Solution
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,93 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: 93:[78, 4, 32], Operations: ['19+13=32']
Exploring Operation: 78+32=110, Resulting Numbers: [4, 110]
Generated Node #0,1,0: 93:[4, 110] Operation: 78+32=110
Exploring Operation: 78+4=82, Resulting Numbers: [32, 82]
Generated Node #0,1,1: 93:[32, 82] Operation: 78+4=82
Exploring Operation: 32-4=28, Resulting Numbers: [78, 28]
Generated Node #0,1,2: 93:[78, 28] Operation: 32-4=28
Exploring Operation: 78-32=46, Resulting Numbers: [4, 46]
Generated Node #0,1,3: 93:[4, 46] Operation: 78-32=46
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 93:[32, 82], Operations: ['19+13=32', '78+4=82']
Exploring Operation: 32*82=2624, Resulting Numbers: [2624]
2624,93 unequal: No Solution
Exploring Operation: 82-32=50, Resulting Numbers: [50]
50,93 unequal: No Solution
Exploring Operation: 32+82=114, Resulting Numbers: [114]
114,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 93:[4, 46], Operations: ['19+13=32', '78-32=46']
Exploring Operation: 4*46=184, Resulting Numbers: [184]
184,93 unequal: No Solution
Exploring Operation: 4+46=50, Resulting Numbers: [50]
50,93 unequal: No Solution
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 93:[4, 110], Operations: ['19+13=32', '78+32=110']
Exploring Operation: 4+110=114, Resulting Numbers: [114]
114,93 unequal: No Solution
Exploring Operation: 110-4=106, Resulting Numbers: [106]
106,93 unequal: No Solution
Exploring Operation: 4*110=440, Resulting Numbers: [440]
440,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 93:[78, 28], Operations: ['19+13=32', '32-4=28']
Exploring Operation: 78-28=50, Resulting Numbers: [50]
50,93 unequal: No Solution
Exploring Operation: 78+28=106, Resulting Numbers: [106]
106,93 unequal: No Solution
Exploring Operation: 78*28=2184, Resulting Numbers: [2184]
2184,93 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 |
[
73,
99,
25,
43
] | 43 | [
"99-73=26",
"26-25=1",
"43*1=43"
] | Current State: 43:[73, 99, 25, 43], Operations: []
Exploring Operation: 99-73=26, Resulting Numbers: [25, 43, 26]
Generated Node #2: [25, 43, 26] from Operation: 99-73=26
Current State: 43:[25, 43, 26], Operations: ['99-73=26']
Exploring Operation: 26-25=1, Resulting Numbers: [43, 1]
Generated Node #3: [43, 1] from Operation: 26-25=1
Current State: 43:[43, 1], Operations: ['99-73=26', '26-25=1']
Exploring Operation: 43*1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[73, 99, 25, 43], Operations: []
Exploring Operation: 99-73=26, Resulting Numbers: [25, 43, 26]
Generated Node #0,0: 43:[25, 43, 26] Operation: 99-73=26
Exploring Operation: 99-25=74, Resulting Numbers: [73, 43, 74]
Generated Node #0,1: 43:[73, 43, 74] Operation: 99-25=74
Exploring Operation: 73-25=48, Resulting Numbers: [99, 43, 48]
Generated Node #0,2: 43:[99, 43, 48] Operation: 73-25=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[25, 43, 26], Operations: ['99-73=26']
Exploring Operation: 43-25=18, Resulting Numbers: [26, 18]
Generated Node #0,0,0: 43:[26, 18] Operation: 43-25=18
Exploring Operation: 25+26=51, Resulting Numbers: [43, 51]
Generated Node #0,0,1: 43:[43, 51] Operation: 25+26=51
Exploring Operation: 25+43=68, Resulting Numbers: [26, 68]
Generated Node #0,0,2: 43:[26, 68] Operation: 25+43=68
Moving to Node #0,0,1
Current State: 43:[43, 51], Operations: ['99-73=26', '25+26=51']
Exploring Operation: 43*51=2193, Resulting Numbers: [2193]
2193,43 unequal: No Solution
Exploring Operation: 43+51=94, Resulting Numbers: [94]
94,43 unequal: No Solution
Exploring Operation: 51-43=8, Resulting Numbers: [8]
8,43 unequal: No Solution
Moving to Node #0,0,0
Current State: 43:[26, 18], Operations: ['99-73=26', '43-25=18']
Exploring Operation: 26*18=468, Resulting Numbers: [468]
468,43 unequal: No Solution
Exploring Operation: 26-18=8, Resulting Numbers: [8]
8,43 unequal: No Solution
Exploring Operation: 26+18=44, Resulting Numbers: [44]
44,43 unequal: No Solution
Moving to Node #0,0,2
Current State: 43:[26, 68], Operations: ['99-73=26', '25+43=68']
Exploring Operation: 68-26=42, Resulting Numbers: [42]
42,43 unequal: No Solution
Exploring Operation: 26+68=94, Resulting Numbers: [94]
94,43 unequal: No Solution
Exploring Operation: 26*68=1768, Resulting Numbers: [1768]
1768,43 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:[73, 43, 74], Operations: ['99-25=74']
Exploring Operation: 74-73=1, Resulting Numbers: [43, 1]
Generated Node #0,1,0: 43:[43, 1] Operation: 74-73=1
Exploring Operation: 73-43=30, Resulting Numbers: [74, 30]
Generated Node #0,1,1: 43:[74, 30] Operation: 73-43=30
Exploring Operation: 74-43=31, Resulting Numbers: [73, 31]
Generated Node #0,1,2: 43:[73, 31] Operation: 74-43=31
Moving to Node #0,1,0
Current State: 43:[43, 1], Operations: ['99-25=74', '74-73=1']
Exploring Operation: 43/1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[73, 99, 25, 43], Operations: []
Exploring Operation: 99-25=74, Resulting Numbers: [73, 43, 74]
Generated Node #0,1: 43:[73, 43, 74] Operation: 99-25=74
Moving to Node #0,1
Current State: 43:[73, 43, 74], Operations: ['99-25=74']
Exploring Operation: 74-73=1, Resulting Numbers: [43, 1]
Generated Node #0,1,0: 43:[43, 1] Operation: 74-73=1
Moving to Node #0,1,0
Current State: 43:[43, 1], Operations: ['99-25=74', '74-73=1']
Exploring Operation: 43/1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_3 | sum_heuristic |
[
65,
52,
52,
14
] | 80 | [
"65+14=79",
"52/52=1",
"79+1=80"
] | Current State: 80:[65, 52, 52, 14], Operations: []
Exploring Operation: 65+14=79, Resulting Numbers: [52, 52, 79]
Generated Node #2: [52, 52, 79] from Operation: 65+14=79
Current State: 80:[52, 52, 79], Operations: ['65+14=79']
Exploring Operation: 52/52=1, Resulting Numbers: [79, 1]
Generated Node #3: [79, 1] from Operation: 52/52=1
Current State: 80:[79, 1], Operations: ['65+14=79', '52/52=1']
Exploring Operation: 79+1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[65, 52, 52, 14], Operations: []
Exploring Operation: 52/52=1, Resulting Numbers: [65, 14, 1]
Generated Node #0,0: 80:[65, 14, 1] Operation: 52/52=1
Exploring Operation: 65-52=13, Resulting Numbers: [52, 14, 13]
Generated Node #0,1: 80:[52, 14, 13] Operation: 65-52=13
Exploring Operation: 65-52=13, Resulting Numbers: [52, 14, 13]
Generated Node #0,2: 80:[52, 14, 13] Operation: 65-52=13
Moving to Node #0,1
Current State: 80:[52, 14, 13], Operations: ['65-52=13']
Exploring Operation: 52/13=4, Resulting Numbers: [14, 4]
Generated Node #0,1,0: 80:[14, 4] Operation: 52/13=4
Exploring Operation: 52-14=38, Resulting Numbers: [13, 38]
Generated Node #0,1,1: 80:[13, 38] Operation: 52-14=38
Exploring Operation: 52-13=39, Resulting Numbers: [14, 39]
Generated Node #0,1,2: 80:[14, 39] Operation: 52-13=39
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 80:[14, 4], Operations: ['65-52=13', '52/13=4']
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,80 unequal: No Solution
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,80 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,80 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 #0,1,2
Current State: 80:[14, 39], Operations: ['65-52=13', '52-13=39']
Exploring Operation: 14+39=53, Resulting Numbers: [53]
53,80 unequal: No Solution
Exploring Operation: 14*39=546, Resulting Numbers: [546]
546,80 unequal: No Solution
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,80 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:[13, 38], Operations: ['65-52=13', '52-14=38']
Exploring Operation: 13*38=494, Resulting Numbers: [494]
494,80 unequal: No Solution
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,80 unequal: No Solution
Exploring Operation: 13+38=51, Resulting Numbers: [51]
51,80 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: 80:[52, 14, 13], Operations: ['65-52=13']
Exploring Operation: 52-13=39, Resulting Numbers: [14, 39]
Generated Node #0,2,0: 80:[14, 39] Operation: 52-13=39
Exploring Operation: 52-14=38, Resulting Numbers: [13, 38]
Generated Node #0,2,1: 80:[13, 38] Operation: 52-14=38
Exploring Operation: 52/13=4, Resulting Numbers: [14, 4]
Generated Node #0,2,2: 80:[14, 4] Operation: 52/13=4
Moving to Node #0,0
Current State: 80:[65, 14, 1], Operations: ['52/52=1']
Exploring Operation: 65-14=51, Resulting Numbers: [1, 51]
Generated Node #0,0,0: 80:[1, 51] Operation: 65-14=51
Exploring Operation: 65+14=79, Resulting Numbers: [1, 79]
Generated Node #0,0,1: 80:[1, 79] Operation: 65+14=79
Exploring Operation: 65+1=66, Resulting Numbers: [14, 66]
Generated Node #0,0,2: 80:[14, 66] Operation: 65+1=66
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 80:[1, 79], Operations: ['52/52=1', '65+14=79']
Exploring Operation: 1+79=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[65, 52, 52, 14], Operations: []
Exploring Operation: 52/52=1, Resulting Numbers: [65, 14, 1]
Generated Node #0,0: 80:[65, 14, 1] Operation: 52/52=1
Moving to Node #0,0
Current State: 80:[65, 14, 1], Operations: ['52/52=1']
Exploring Operation: 65+14=79, Resulting Numbers: [1, 79]
Generated Node #0,0,1: 80:[1, 79] Operation: 65+14=79
Moving to Node #0,0,1
Current State: 80:[1, 79], Operations: ['52/52=1', '65+14=79']
Exploring Operation: 1+79=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_3 | sum_heuristic |
[
2,
59,
35,
61
] | 98 | [
"2*61=122",
"59-35=24",
"122-24=98"
] | Current State: 98:[2, 59, 35, 61], Operations: []
Exploring Operation: 2*61=122, Resulting Numbers: [59, 35, 122]
Generated Node #2: [59, 35, 122] from Operation: 2*61=122
Current State: 98:[59, 35, 122], Operations: ['2*61=122']
Exploring Operation: 59-35=24, Resulting Numbers: [122, 24]
Generated Node #3: [122, 24] from Operation: 59-35=24
Current State: 98:[122, 24], Operations: ['2*61=122', '59-35=24']
Exploring Operation: 122-24=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[2, 59, 35, 61], Operations: []
Exploring Operation: 59-35=24, Resulting Numbers: [2, 61, 24]
Generated Node #0,0: 98:[2, 61, 24] Operation: 59-35=24
Exploring Operation: 61-59=2, Resulting Numbers: [2, 35, 2]
Generated Node #0,1: 98:[2, 35, 2] Operation: 61-59=2
Exploring Operation: 35+61=96, Resulting Numbers: [2, 59, 96]
Generated Node #0,2: 98:[2, 59, 96] Operation: 35+61=96
Exploring Operation: 59+35=94, Resulting Numbers: [2, 61, 94]
Generated Node #0,3: 98:[2, 61, 94] Operation: 59+35=94
Moving to Node #0,2
Current State: 98:[2, 59, 96], Operations: ['35+61=96']
Exploring Operation: 2+96=98, Resulting Numbers: [59, 98]
Generated Node #0,2,0: 98:[59, 98] Operation: 2+96=98
Exploring Operation: 96/2=48, Resulting Numbers: [59, 48]
Generated Node #0,2,1: 98:[59, 48] Operation: 96/2=48
Exploring Operation: 96-59=37, Resulting Numbers: [2, 37]
Generated Node #0,2,2: 98:[2, 37] Operation: 96-59=37
Exploring Operation: 59-2=57, Resulting Numbers: [96, 57]
Generated Node #0,2,3: 98:[96, 57] Operation: 59-2=57
Moving to Node #0,1
Current State: 98:[2, 35, 2], Operations: ['61-59=2']
Exploring Operation: 35+2=37, Resulting Numbers: [2, 37]
Generated Node #0,1,0: 98:[2, 37] Operation: 35+2=37
Exploring Operation: 2/2=1, Resulting Numbers: [35, 1]
Generated Node #0,1,1: 98:[35, 1] Operation: 2/2=1
Exploring Operation: 35-2=33, Resulting Numbers: [2, 33]
Generated Node #0,1,2: 98:[2, 33] Operation: 35-2=33
Exploring Operation: 2+35=37, Resulting Numbers: [2, 37]
Generated Node #0,1,3: 98:[2, 37] Operation: 2+35=37
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 98:[2, 37], Operations: ['61-59=2', '35+2=37']
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,98 unequal: No Solution
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,98 unequal: No Solution
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 98:[2, 37], Operations: ['61-59=2', '2+35=37']
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,98 unequal: No Solution
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,98 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 98:[35, 1], Operations: ['61-59=2', '2/2=1']
Exploring Operation: 35*1=35, Resulting Numbers: [35]
35,98 unequal: No Solution
Exploring Operation: 35/1=35, Resulting Numbers: [35]
35,98 unequal: No Solution
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,98 unequal: No Solution
Exploring Operation: 35+1=36, Resulting Numbers: [36]
36,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 98:[2, 33], Operations: ['61-59=2', '35-2=33']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,98 unequal: No Solution
Exploring Operation: 2+33=35, Resulting Numbers: [35]
35,98 unequal: No Solution
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,98 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: 98:[2, 61, 94], Operations: ['59+35=94']
Exploring Operation: 61-2=59, Resulting Numbers: [94, 59]
Generated Node #0,3,0: 98:[94, 59] Operation: 61-2=59
Exploring Operation: 94/2=47, Resulting Numbers: [61, 47]
Generated Node #0,3,1: 98:[61, 47] Operation: 94/2=47
Exploring Operation: 94-61=33, Resulting Numbers: [2, 33]
Generated Node #0,3,2: 98:[2, 33] Operation: 94-61=33
Exploring Operation: 2+94=96, Resulting Numbers: [61, 96]
Generated Node #0,3,3: 98:[61, 96] Operation: 2+94=96
Moving to Node #0,0
Current State: 98:[2, 61, 24], Operations: ['59-35=24']
Exploring Operation: 24/2=12, Resulting Numbers: [61, 12]
Generated Node #0,0,0: 98:[61, 12] Operation: 24/2=12
Exploring Operation: 61+24=85, Resulting Numbers: [2, 85]
Generated Node #0,0,1: 98:[2, 85] Operation: 61+24=85
Exploring Operation: 2*24=48, Resulting Numbers: [61, 48]
Generated Node #0,0,2: 98:[61, 48] Operation: 2*24=48
Exploring Operation: 61-24=37, Resulting Numbers: [2, 37]
Generated Node #0,0,3: 98:[2, 37] Operation: 61-24=37
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 98:[2, 37], Operations: ['59-35=24', '61-24=37']
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,98 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,98 unequal: No Solution
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 98:[2, 85], Operations: ['59-35=24', '61+24=85']
Exploring Operation: 2+85=87, Resulting Numbers: [87]
87,98 unequal: No Solution
Exploring Operation: 2*85=170, Resulting Numbers: [170]
170,98 unequal: No Solution
Exploring Operation: 85-2=83, Resulting Numbers: [83]
83,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 98:[61, 48], Operations: ['59-35=24', '2*24=48']
Exploring Operation: 61*48=2928, Resulting Numbers: [2928]
2928,98 unequal: No Solution
Exploring Operation: 61-48=13, Resulting Numbers: [13]
13,98 unequal: No Solution
Exploring Operation: 61+48=109, Resulting Numbers: [109]
109,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 98:[61, 12], Operations: ['59-35=24', '24/2=12']
Exploring Operation: 61*12=732, Resulting Numbers: [732]
732,98 unequal: No Solution
Exploring Operation: 61-12=49, Resulting Numbers: [49]
49,98 unequal: No Solution
Exploring Operation: 61+12=73, Resulting Numbers: [73]
73,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 98:[59, 98], Operations: ['35+61=96', '2+96=98']
Exploring Operation: 59+98=157, Resulting Numbers: [157]
157,98 unequal: No Solution
Exploring Operation: 59*98=5782, Resulting Numbers: [5782]
5782,98 unequal: No Solution
Exploring Operation: 98-59=39, Resulting Numbers: [39]
39,98 unequal: No Solution
Moving to Node #0,2,3
Current State: 98:[96, 57], Operations: ['35+61=96', '59-2=57']
Exploring Operation: 96-57=39, Resulting Numbers: [39]
39,98 unequal: No Solution
Exploring Operation: 96*57=5472, Resulting Numbers: [5472]
5472,98 unequal: No Solution
Exploring Operation: 96+57=153, Resulting Numbers: [153]
153,98 unequal: No Solution
Moving to Node #0,2,1
Current State: 98:[59, 48], Operations: ['35+61=96', '96/2=48']
Exploring Operation: 59*48=2832, Resulting Numbers: [2832]
2832,98 unequal: No Solution
Exploring Operation: 59-48=11, Resulting Numbers: [11]
11,98 unequal: No Solution
Exploring Operation: 59+48=107, Resulting Numbers: [107]
107,98 unequal: No Solution
Moving to Node #0,2,2
Current State: 98:[2, 37], Operations: ['35+61=96', '96-59=37']
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,98 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,98 unequal: No Solution
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,98 unequal: No Solution
Moving to Node #0,3,1
Current State: 98:[61, 47], Operations: ['59+35=94', '94/2=47']
Exploring Operation: 61*47=2867, Resulting Numbers: [2867]
2867,98 unequal: No Solution
Exploring Operation: 61+47=108, Resulting Numbers: [108]
108,98 unequal: No Solution
Exploring Operation: 61-47=14, Resulting Numbers: [14]
14,98 unequal: No Solution
Moving to Node #0,3,3
Current State: 98:[61, 96], Operations: ['59+35=94', '2+94=96']
Exploring Operation: 61*96=5856, Resulting Numbers: [5856]
5856,98 unequal: No Solution
Exploring Operation: 96-61=35, Resulting Numbers: [35]
35,98 unequal: No Solution
Exploring Operation: 61+96=157, Resulting Numbers: [157]
157,98 unequal: No Solution
Moving to Node #0,3,0
Current State: 98:[94, 59], Operations: ['59+35=94', '61-2=59']
Exploring Operation: 94*59=5546, Resulting Numbers: [5546]
5546,98 unequal: No Solution
Exploring Operation: 94+59=153, Resulting Numbers: [153]
153,98 unequal: No Solution
Exploring Operation: 94-59=35, Resulting Numbers: [35]
35,98 unequal: No Solution
Moving to Node #0,3,2
Current State: 98:[2, 33], Operations: ['59+35=94', '94-61=33']
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,98 unequal: No Solution
Exploring Operation: 2+33=35, Resulting Numbers: [35]
35,98 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,98 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
25,
3,
26,
82
] | 99 | [
"25+26=51",
"51/3=17",
"82+17=99"
] | Current State: 99:[25, 3, 26, 82], Operations: []
Exploring Operation: 25+26=51, Resulting Numbers: [3, 82, 51]
Generated Node #2: [3, 82, 51] from Operation: 25+26=51
Current State: 99:[3, 82, 51], Operations: ['25+26=51']
Exploring Operation: 51/3=17, Resulting Numbers: [82, 17]
Generated Node #3: [82, 17] from Operation: 51/3=17
Current State: 99:[82, 17], Operations: ['25+26=51', '51/3=17']
Exploring Operation: 82+17=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[25, 3, 26, 82], Operations: []
Exploring Operation: 26+82=108, Resulting Numbers: [25, 3, 108]
Generated Node #0,0: 99:[25, 3, 108] Operation: 26+82=108
Exploring Operation: 25+82=107, Resulting Numbers: [3, 26, 107]
Generated Node #0,1: 99:[3, 26, 107] Operation: 25+82=107
Start Sub Search at level 1: Moving to Node #0,1
Current State: 99:[3, 26, 107], Operations: ['25+82=107']
Exploring Operation: 107-3=104, Resulting Numbers: [26, 104]
Generated Node #0,1,0: 99:[26, 104] Operation: 107-3=104
Exploring Operation: 3+26=29, Resulting Numbers: [107, 29]
Generated Node #0,1,1: 99:[107, 29] Operation: 3+26=29
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 99:[26, 104], Operations: ['25+82=107', '107-3=104']
Exploring Operation: 104/26=4, Resulting Numbers: [4]
4,99 unequal: No Solution
Exploring Operation: 104-26=78, Resulting Numbers: [78]
78,99 unequal: No Solution
No 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: 99:[107, 29], Operations: ['25+82=107', '3+26=29']
Exploring Operation: 107-29=78, Resulting Numbers: [78]
78,99 unequal: No Solution
Exploring Operation: 107+29=136, Resulting Numbers: [136]
136,99 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: 99:[25, 3, 108], Operations: ['26+82=108']
Exploring Operation: 108/3=36, Resulting Numbers: [25, 36]
Generated Node #0,0,0: 99:[25, 36] Operation: 108/3=36
Exploring Operation: 25+3=28, Resulting Numbers: [108, 28]
Generated Node #0,0,1: 99:[108, 28] Operation: 25+3=28
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 99:[25, 36], Operations: ['26+82=108', '108/3=36']
Exploring Operation: 25+36=61, Resulting Numbers: [61]
61,99 unequal: No Solution
Exploring Operation: 36-25=11, Resulting Numbers: [11]
11,99 unequal: No Solution
No 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: 99:[108, 28], Operations: ['26+82=108', '25+3=28']
Exploring Operation: 108-28=80, Resulting Numbers: [80]
80,99 unequal: No Solution
Exploring Operation: 108+28=136, Resulting Numbers: [136]
136,99 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 |
[
80,
41,
36,
46
] | 82 | [
"80-36=44",
"46-44=2",
"41*2=82"
] | Current State: 82:[80, 41, 36, 46], Operations: []
Exploring Operation: 80-36=44, Resulting Numbers: [41, 46, 44]
Generated Node #2: [41, 46, 44] from Operation: 80-36=44
Current State: 82:[41, 46, 44], Operations: ['80-36=44']
Exploring Operation: 46-44=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 46-44=2
Current State: 82:[41, 2], Operations: ['80-36=44', '46-44=2']
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[80, 41, 36, 46], Operations: []
Exploring Operation: 41-36=5, Resulting Numbers: [80, 46, 5]
Generated Node #0,0: 82:[80, 46, 5] Operation: 41-36=5
Exploring Operation: 36+46=82, Resulting Numbers: [80, 41, 82]
Generated Node #0,1: 82:[80, 41, 82] Operation: 36+46=82
Exploring Operation: 80-36=44, Resulting Numbers: [41, 46, 44]
Generated Node #0,2: 82:[41, 46, 44] Operation: 80-36=44
Exploring Operation: 46-41=5, Resulting Numbers: [80, 36, 5]
Generated Node #0,3: 82:[80, 36, 5] Operation: 46-41=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[80, 41, 82], Operations: ['36+46=82']
Exploring Operation: 80-41=39, Resulting Numbers: [82, 39]
Generated Node #0,1,0: 82:[82, 39] Operation: 80-41=39
Exploring Operation: 82/41=2, Resulting Numbers: [80, 2]
Generated Node #0,1,1: 82:[80, 2] Operation: 82/41=2
Exploring Operation: 82-41=41, Resulting Numbers: [80, 41]
Generated Node #0,1,2: 82:[80, 41] Operation: 82-41=41
Exploring Operation: 82-80=2, Resulting Numbers: [41, 2]
Generated Node #0,1,3: 82:[41, 2] Operation: 82-80=2
Moving to Node #0,1,3
Current State: 82:[41, 2], Operations: ['36+46=82', '82-80=2']
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[80, 41, 36, 46], Operations: []
Exploring Operation: 36+46=82, Resulting Numbers: [80, 41, 82]
Generated Node #0,1: 82:[80, 41, 82] Operation: 36+46=82
Moving to Node #0,1
Current State: 82:[80, 41, 82], Operations: ['36+46=82']
Exploring Operation: 82-80=2, Resulting Numbers: [41, 2]
Generated Node #0,1,3: 82:[41, 2] Operation: 82-80=2
Moving to Node #0,1,3
Current State: 82:[41, 2], Operations: ['36+46=82', '82-80=2']
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
50,
44,
74,
50
] | 44 | [
"50-50=0",
"74*0=0",
"44+0=44"
] | Current State: 44:[50, 44, 74, 50], Operations: []
Exploring Operation: 50-50=0, Resulting Numbers: [44, 74, 0]
Generated Node #2: [44, 74, 0] from Operation: 50-50=0
Current State: 44:[44, 74, 0], Operations: ['50-50=0']
Exploring Operation: 74*0=0, Resulting Numbers: [44, 0]
Generated Node #3: [44, 0] from Operation: 74*0=0
Current State: 44:[44, 0], Operations: ['50-50=0', '74*0=0']
Exploring Operation: 44+0=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[50, 44, 74, 50], Operations: []
Exploring Operation: 74-50=24, Resulting Numbers: [50, 44, 24]
Generated Node #0,0: 44:[50, 44, 24] Operation: 74-50=24
Exploring Operation: 74-50=24, Resulting Numbers: [44, 50, 24]
Generated Node #0,1: 44:[44, 50, 24] Operation: 74-50=24
Exploring Operation: 74-44=30, Resulting Numbers: [50, 50, 30]
Generated Node #0,2: 44:[50, 50, 30] Operation: 74-44=30
Moving to Node #0,0
Current State: 44:[50, 44, 24], Operations: ['74-50=24']
Exploring Operation: 50-24=26, Resulting Numbers: [44, 26]
Generated Node #0,0,0: 44:[44, 26] Operation: 50-24=26
Exploring Operation: 44-24=20, Resulting Numbers: [50, 20]
Generated Node #0,0,1: 44:[50, 20] Operation: 44-24=20
Exploring Operation: 50-44=6, Resulting Numbers: [24, 6]
Generated Node #0,0,2: 44:[24, 6] Operation: 50-44=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 44:[44, 26], Operations: ['74-50=24', '50-24=26']
Exploring Operation: 44+26=70, Resulting Numbers: [70]
70,44 unequal: No Solution
Exploring Operation: 44*26=1144, Resulting Numbers: [1144]
1144,44 unequal: No Solution
Exploring Operation: 44-26=18, Resulting Numbers: [18]
18,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 44:[24, 6], Operations: ['74-50=24', '50-44=6']
Exploring Operation: 24+6=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 44:[50, 20], Operations: ['74-50=24', '44-24=20']
Exploring Operation: 50+20=70, Resulting Numbers: [70]
70,44 unequal: No Solution
Exploring Operation: 50*20=1000, Resulting Numbers: [1000]
1000,44 unequal: No Solution
Exploring Operation: 50-20=30, Resulting Numbers: [30]
30,44 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: 44:[44, 50, 24], Operations: ['74-50=24']
Exploring Operation: 50-44=6, Resulting Numbers: [24, 6]
Generated Node #0,1,0: 44:[24, 6] Operation: 50-44=6
Exploring Operation: 50-24=26, Resulting Numbers: [44, 26]
Generated Node #0,1,1: 44:[44, 26] Operation: 50-24=26
Exploring Operation: 44-24=20, Resulting Numbers: [50, 20]
Generated Node #0,1,2: 44:[50, 20] Operation: 44-24=20
Moving to Node #0,2
Current State: 44:[50, 50, 30], Operations: ['74-44=30']
Exploring Operation: 50-30=20, Resulting Numbers: [50, 20]
Generated Node #0,2,0: 44:[50, 20] Operation: 50-30=20
Exploring Operation: 50/50=1, Resulting Numbers: [30, 1]
Generated Node #0,2,1: 44:[30, 1] Operation: 50/50=1
Exploring Operation: 50-30=20, Resulting Numbers: [50, 20]
Generated Node #0,2,2: 44:[50, 20] Operation: 50-30=20
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 44:[50, 20], Operations: ['74-44=30', '50-30=20']
Exploring Operation: 50*20=1000, Resulting Numbers: [1000]
1000,44 unequal: No Solution
Exploring Operation: 50-20=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Exploring Operation: 50+20=70, Resulting Numbers: [70]
70,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 44:[50, 20], Operations: ['74-44=30', '50-30=20']
Exploring Operation: 50+20=70, Resulting Numbers: [70]
70,44 unequal: No Solution
Exploring Operation: 50*20=1000, Resulting Numbers: [1000]
1000,44 unequal: No Solution
Exploring Operation: 50-20=30, Resulting Numbers: [30]
30,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 44:[30, 1], Operations: ['74-44=30', '50/50=1']
Exploring Operation: 30/1=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Exploring Operation: 30*1=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,44 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: 44:[24, 6], Operations: ['74-50=24', '50-44=6']
Exploring Operation: 24+6=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,44 unequal: No Solution
Moving to Node #0,1,1
Current State: 44:[44, 26], Operations: ['74-50=24', '50-24=26']
Exploring Operation: 44-26=18, Resulting Numbers: [18]
18,44 unequal: No Solution
Exploring Operation: 44+26=70, Resulting Numbers: [70]
70,44 unequal: No Solution
Exploring Operation: 44*26=1144, Resulting Numbers: [1144]
1144,44 unequal: No Solution
Moving to Node #0,1,2
Current State: 44:[50, 20], Operations: ['74-50=24', '44-24=20']
Exploring Operation: 50*20=1000, Resulting Numbers: [1000]
1000,44 unequal: No Solution
Exploring Operation: 50-20=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Exploring Operation: 50+20=70, Resulting Numbers: [70]
70,44 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
87,
47,
99,
42
] | 77 | [
"87+47=134",
"99-42=57",
"134-57=77"
] | Current State: 77:[87, 47, 99, 42], Operations: []
Exploring Operation: 87+47=134, Resulting Numbers: [99, 42, 134]
Generated Node #2: [99, 42, 134] from Operation: 87+47=134
Current State: 77:[99, 42, 134], Operations: ['87+47=134']
Exploring Operation: 99-42=57, Resulting Numbers: [134, 57]
Generated Node #3: [134, 57] from Operation: 99-42=57
Current State: 77:[134, 57], Operations: ['87+47=134', '99-42=57']
Exploring Operation: 134-57=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[87, 47, 99, 42], Operations: []
Exploring Operation: 47-42=5, Resulting Numbers: [87, 99, 5]
Generated Node #0,0: 77:[87, 99, 5] Operation: 47-42=5
Exploring Operation: 47+42=89, Resulting Numbers: [87, 99, 89]
Generated Node #0,1: 77:[87, 99, 89] Operation: 47+42=89
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[87, 99, 5], Operations: ['47-42=5']
Exploring Operation: 99-87=12, Resulting Numbers: [5, 12]
Generated Node #0,0,0: 77:[5, 12] Operation: 99-87=12
Exploring Operation: 87-5=82, Resulting Numbers: [99, 82]
Generated Node #0,0,1: 77:[99, 82] Operation: 87-5=82
Moving to Node #0,0,0
Current State: 77:[5, 12], Operations: ['47-42=5', '99-87=12']
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,77 unequal: No Solution
Exploring Operation: 5+12=17, Resulting Numbers: [17]
17,77 unequal: No Solution
Moving to Node #0,0,1
Current State: 77:[99, 82], Operations: ['47-42=5', '87-5=82']
Exploring Operation: 99-82=17, Resulting Numbers: [17]
17,77 unequal: No Solution
Exploring Operation: 99+82=181, Resulting Numbers: [181]
181,77 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
Current State: 77:[87, 99, 89], Operations: ['47+42=89']
Exploring Operation: 99-87=12, Resulting Numbers: [89, 12]
Generated Node #0,1,0: 77:[89, 12] Operation: 99-87=12
Exploring Operation: 99-89=10, Resulting Numbers: [87, 10]
Generated Node #0,1,1: 77:[87, 10] Operation: 99-89=10
Moving to Node #0,1,1
Current State: 77:[87, 10], Operations: ['47+42=89', '99-89=10']
Exploring Operation: 87-10=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[87, 47, 99, 42], Operations: []
Exploring Operation: 47+42=89, Resulting Numbers: [87, 99, 89]
Generated Node #0,1: 77:[87, 99, 89] Operation: 47+42=89
Moving to Node #0,1
Current State: 77:[87, 99, 89], Operations: ['47+42=89']
Exploring Operation: 99-89=10, Resulting Numbers: [87, 10]
Generated Node #0,1,1: 77:[87, 10] Operation: 99-89=10
Moving to Node #0,1,1
Current State: 77:[87, 10], Operations: ['47+42=89', '99-89=10']
Exploring Operation: 87-10=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
91,
44,
89,
10
] | 98 | [
"91-89=2",
"44*2=88",
"10+88=98"
] | Current State: 98:[91, 44, 89, 10], Operations: []
Exploring Operation: 91-89=2, Resulting Numbers: [44, 10, 2]
Generated Node #2: [44, 10, 2] from Operation: 91-89=2
Current State: 98:[44, 10, 2], Operations: ['91-89=2']
Exploring Operation: 44*2=88, Resulting Numbers: [10, 88]
Generated Node #3: [10, 88] from Operation: 44*2=88
Current State: 98:[10, 88], Operations: ['91-89=2', '44*2=88']
Exploring Operation: 10+88=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[91, 44, 89, 10], Operations: []
Exploring Operation: 91-89=2, Resulting Numbers: [44, 10, 2]
Generated Node #0,0: 98:[44, 10, 2] Operation: 91-89=2
Exploring Operation: 89+10=99, Resulting Numbers: [91, 44, 99]
Generated Node #0,1: 98:[91, 44, 99] Operation: 89+10=99
Exploring Operation: 91-44=47, Resulting Numbers: [89, 10, 47]
Generated Node #0,2: 98:[89, 10, 47] Operation: 91-44=47
Moving to Node #0,0
Current State: 98:[44, 10, 2], Operations: ['91-89=2']
Exploring Operation: 10-2=8, Resulting Numbers: [44, 8]
Generated Node #0,0,0: 98:[44, 8] Operation: 10-2=8
Exploring Operation: 44+2=46, Resulting Numbers: [10, 46]
Generated Node #0,0,1: 98:[10, 46] Operation: 44+2=46
Exploring Operation: 44+10=54, Resulting Numbers: [2, 54]
Generated Node #0,0,2: 98:[2, 54] Operation: 44+10=54
Moving to Node #0,1
Current State: 98:[91, 44, 99], Operations: ['89+10=99']
Exploring Operation: 99-44=55, Resulting Numbers: [91, 55]
Generated Node #0,1,0: 98:[91, 55] Operation: 99-44=55
Exploring Operation: 99-91=8, Resulting Numbers: [44, 8]
Generated Node #0,1,1: 98:[44, 8] Operation: 99-91=8
Exploring Operation: 91-44=47, Resulting Numbers: [99, 47]
Generated Node #0,1,2: 98:[99, 47] Operation: 91-44=47
Moving to Node #0,2
Current State: 98:[89, 10, 47], Operations: ['91-44=47']
Exploring Operation: 10+47=57, Resulting Numbers: [89, 57]
Generated Node #0,2,0: 98:[89, 57] Operation: 10+47=57
Exploring Operation: 89-47=42, Resulting Numbers: [10, 42]
Generated Node #0,2,1: 98:[10, 42] Operation: 89-47=42
Exploring Operation: 89+10=99, Resulting Numbers: [47, 99]
Generated Node #0,2,2: 98:[47, 99] Operation: 89+10=99
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 98:[47, 99], Operations: ['91-44=47', '89+10=99']
Exploring Operation: 47+99=146, Resulting Numbers: [146]
146,98 unequal: No Solution
Exploring Operation: 47*99=4653, Resulting Numbers: [4653]
4653,98 unequal: No Solution
Exploring Operation: 99-47=52, Resulting Numbers: [52]
52,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 98:[10, 42], Operations: ['91-44=47', '89-47=42']
Exploring Operation: 10+42=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Exploring Operation: 42-10=32, Resulting Numbers: [32]
32,98 unequal: No Solution
Exploring Operation: 10*42=420, Resulting Numbers: [420]
420,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 98:[89, 57], Operations: ['91-44=47', '10+47=57']
Exploring Operation: 89+57=146, Resulting Numbers: [146]
146,98 unequal: No Solution
Exploring Operation: 89-57=32, Resulting Numbers: [32]
32,98 unequal: No Solution
Exploring Operation: 89*57=5073, Resulting Numbers: [5073]
5073,98 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: 98:[99, 47], Operations: ['89+10=99', '91-44=47']
Exploring Operation: 99+47=146, Resulting Numbers: [146]
146,98 unequal: No Solution
Exploring Operation: 99*47=4653, Resulting Numbers: [4653]
4653,98 unequal: No Solution
Exploring Operation: 99-47=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Moving to Node #0,0,2
Current State: 98:[2, 54], Operations: ['91-89=2', '44+10=54']
Exploring Operation: 2+54=56, Resulting Numbers: [56]
56,98 unequal: No Solution
Exploring Operation: 2*54=108, Resulting Numbers: [108]
108,98 unequal: No Solution
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Moving to Node #0,0,1
Current State: 98:[10, 46], Operations: ['91-89=2', '44+2=46']
Exploring Operation: 46-10=36, Resulting Numbers: [36]
36,98 unequal: No Solution
Exploring Operation: 10*46=460, Resulting Numbers: [460]
460,98 unequal: No Solution
Exploring Operation: 10+46=56, Resulting Numbers: [56]
56,98 unequal: No Solution
Moving to Node #0,1,1
Current State: 98:[44, 8], Operations: ['89+10=99', '99-91=8']
Exploring Operation: 44+8=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,98 unequal: No Solution
Exploring Operation: 44*8=352, Resulting Numbers: [352]
352,98 unequal: No Solution
Moving to Node #0,0,0
Current State: 98:[44, 8], Operations: ['91-89=2', '10-2=8']
Exploring Operation: 44*8=352, Resulting Numbers: [352]
352,98 unequal: No Solution
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,98 unequal: No Solution
Exploring Operation: 44+8=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Moving to Node #0,1,0
Current State: 98:[91, 55], Operations: ['89+10=99', '99-44=55']
Exploring Operation: 91+55=146, Resulting Numbers: [146]
146,98 unequal: No Solution
Exploring Operation: 91*55=5005, Resulting Numbers: [5005]
5005,98 unequal: No Solution
Exploring Operation: 91-55=36, Resulting Numbers: [36]
36,98 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
94,
56,
80,
84
] | 34 | [
"94-56=38",
"84-80=4",
"38-4=34"
] | Current State: 34:[94, 56, 80, 84], Operations: []
Exploring Operation: 94-56=38, Resulting Numbers: [80, 84, 38]
Generated Node #2: [80, 84, 38] from Operation: 94-56=38
Current State: 34:[80, 84, 38], Operations: ['94-56=38']
Exploring Operation: 84-80=4, Resulting Numbers: [38, 4]
Generated Node #3: [38, 4] from Operation: 84-80=4
Current State: 34:[38, 4], Operations: ['94-56=38', '84-80=4']
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[94, 56, 80, 84], Operations: []
Exploring Operation: 94-84=10, Resulting Numbers: [56, 80, 10]
Generated Node #0,0: 34:[56, 80, 10] Operation: 94-84=10
Exploring Operation: 94-80=14, Resulting Numbers: [56, 84, 14]
Generated Node #0,1: 34:[56, 84, 14] Operation: 94-80=14
Exploring Operation: 94-56=38, Resulting Numbers: [80, 84, 38]
Generated Node #0,2: 34:[80, 84, 38] Operation: 94-56=38
Exploring Operation: 84-80=4, Resulting Numbers: [94, 56, 4]
Generated Node #0,3: 34:[94, 56, 4] Operation: 84-80=4
Moving to Node #0,0
Current State: 34:[56, 80, 10], Operations: ['94-84=10']
Exploring Operation: 80-10=70, Resulting Numbers: [56, 70]
Generated Node #0,0,0: 34:[56, 70] Operation: 80-10=70
Exploring Operation: 80/10=8, Resulting Numbers: [56, 8]
Generated Node #0,0,1: 34:[56, 8] Operation: 80/10=8
Exploring Operation: 80-56=24, Resulting Numbers: [10, 24]
Generated Node #0,0,2: 34:[10, 24] Operation: 80-56=24
Exploring Operation: 56-10=46, Resulting Numbers: [80, 46]
Generated Node #0,0,3: 34:[80, 46] Operation: 56-10=46
Moving to Node #0,1
Current State: 34:[56, 84, 14], Operations: ['94-80=14']
Exploring Operation: 84-56=28, Resulting Numbers: [14, 28]
Generated Node #0,1,0: 34:[14, 28] Operation: 84-56=28
Exploring Operation: 84/14=6, Resulting Numbers: [56, 6]
Generated Node #0,1,1: 34:[56, 6] Operation: 84/14=6
Exploring Operation: 56/14=4, Resulting Numbers: [84, 4]
Generated Node #0,1,2: 34:[84, 4] Operation: 56/14=4
Exploring Operation: 56-14=42, Resulting Numbers: [84, 42]
Generated Node #0,1,3: 34:[84, 42] Operation: 56-14=42
Moving to Node #0,3
Current State: 34:[94, 56, 4], Operations: ['84-80=4']
Exploring Operation: 56-4=52, Resulting Numbers: [94, 52]
Generated Node #0,3,0: 34:[94, 52] Operation: 56-4=52
Exploring Operation: 94-56=38, Resulting Numbers: [4, 38]
Generated Node #0,3,1: 34:[4, 38] Operation: 94-56=38
Exploring Operation: 56/4=14, Resulting Numbers: [94, 14]
Generated Node #0,3,2: 34:[94, 14] Operation: 56/4=14
Exploring Operation: 94-4=90, Resulting Numbers: [56, 90]
Generated Node #0,3,3: 34:[56, 90] Operation: 94-4=90
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 34:[4, 38], Operations: ['84-80=4', '94-56=38']
Exploring Operation: 4*38=152, Resulting Numbers: [152]
152,34 unequal: No Solution
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[94, 56, 80, 84], Operations: []
Exploring Operation: 84-80=4, Resulting Numbers: [94, 56, 4]
Generated Node #0,3: 34:[94, 56, 4] Operation: 84-80=4
Moving to Node #0,3
Current State: 34:[94, 56, 4], Operations: ['84-80=4']
Exploring Operation: 94-56=38, Resulting Numbers: [4, 38]
Generated Node #0,3,1: 34:[4, 38] Operation: 94-56=38
Moving to Node #0,3,1
Current State: 34:[4, 38], Operations: ['84-80=4', '94-56=38']
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_4 | sum_heuristic |
[
65,
31,
55,
44
] | 83 | [
"65*44=2860",
"2860/55=52",
"31+52=83"
] | Current State: 83:[65, 31, 55, 44], Operations: []
Exploring Operation: 65*44=2860, Resulting Numbers: [31, 55, 2860]
Generated Node #2: [31, 55, 2860] from Operation: 65*44=2860
Current State: 83:[31, 55, 2860], Operations: ['65*44=2860']
Exploring Operation: 2860/55=52, Resulting Numbers: [31, 52]
Generated Node #3: [31, 52] from Operation: 2860/55=52
Current State: 83:[31, 52], Operations: ['65*44=2860', '2860/55=52']
Exploring Operation: 31+52=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[65, 31, 55, 44], Operations: []
Exploring Operation: 31+44=75, Resulting Numbers: [65, 55, 75]
Generated Node #0,0: 83:[65, 55, 75] Operation: 31+44=75
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[65, 55, 75], Operations: ['31+44=75']
Exploring Operation: 65+55=120, Resulting Numbers: [75, 120]
Generated Node #0,0,0: 83:[75, 120] Operation: 65+55=120
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[75, 120], Operations: ['31+44=75', '65+55=120']
Exploring Operation: 120-75=45, Resulting Numbers: [45]
45,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
79,
18,
47,
69
] | 19 | [
"79+18=97",
"47+69=116",
"116-97=19"
] | Current State: 19:[79, 18, 47, 69], Operations: []
Exploring Operation: 79+18=97, Resulting Numbers: [47, 69, 97]
Generated Node #2: [47, 69, 97] from Operation: 79+18=97
Current State: 19:[47, 69, 97], Operations: ['79+18=97']
Exploring Operation: 47+69=116, Resulting Numbers: [97, 116]
Generated Node #3: [97, 116] from Operation: 47+69=116
Current State: 19:[97, 116], Operations: ['79+18=97', '47+69=116']
Exploring Operation: 116-97=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[79, 18, 47, 69], Operations: []
Exploring Operation: 79-69=10, Resulting Numbers: [18, 47, 10]
Generated Node #0,0: 19:[18, 47, 10] Operation: 79-69=10
Exploring Operation: 69-47=22, Resulting Numbers: [79, 18, 22]
Generated Node #0,1: 19:[79, 18, 22] Operation: 69-47=22
Exploring Operation: 79-47=32, Resulting Numbers: [18, 69, 32]
Generated Node #0,2: 19:[18, 69, 32] Operation: 79-47=32
Exploring Operation: 79-18=61, Resulting Numbers: [47, 69, 61]
Generated Node #0,3: 19:[47, 69, 61] Operation: 79-18=61
Exploring Operation: 47-18=29, Resulting Numbers: [79, 69, 29]
Generated Node #0,4: 19:[79, 69, 29] Operation: 47-18=29
Moving to Node #0,0
Current State: 19:[18, 47, 10], Operations: ['79-69=10']
Exploring Operation: 47+10=57, Resulting Numbers: [18, 57]
Generated Node #0,0,0: 19:[18, 57] Operation: 47+10=57
Exploring Operation: 18+10=28, Resulting Numbers: [47, 28]
Generated Node #0,0,1: 19:[47, 28] Operation: 18+10=28
Exploring Operation: 47-10=37, Resulting Numbers: [18, 37]
Generated Node #0,0,2: 19:[18, 37] Operation: 47-10=37
Exploring Operation: 18-10=8, Resulting Numbers: [47, 8]
Generated Node #0,0,3: 19:[47, 8] Operation: 18-10=8
Exploring Operation: 47-18=29, Resulting Numbers: [10, 29]
Generated Node #0,0,4: 19:[10, 29] Operation: 47-18=29
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 19:[18, 37], Operations: ['79-69=10', '47-10=37']
Exploring Operation: 18*37=666, Resulting Numbers: [666]
666,19 unequal: No Solution
Exploring Operation: 18+37=55, Resulting Numbers: [55]
55,19 unequal: No Solution
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[79, 18, 47, 69], Operations: []
Exploring Operation: 79-69=10, Resulting Numbers: [18, 47, 10]
Generated Node #0,0: 19:[18, 47, 10] Operation: 79-69=10
Moving to Node #0,0
Current State: 19:[18, 47, 10], Operations: ['79-69=10']
Exploring Operation: 47-10=37, Resulting Numbers: [18, 37]
Generated Node #0,0,2: 19:[18, 37] Operation: 47-10=37
Moving to Node #0,0,2
Current State: 19:[18, 37], Operations: ['79-69=10', '47-10=37']
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
22,
97,
19,
5
] | 84 | [
"97*19=1843",
"5+1843=1848",
"1848/22=84"
] | Current State: 84:[22, 97, 19, 5], Operations: []
Exploring Operation: 97*19=1843, Resulting Numbers: [22, 5, 1843]
Generated Node #2: [22, 5, 1843] from Operation: 97*19=1843
Current State: 84:[22, 5, 1843], Operations: ['97*19=1843']
Exploring Operation: 5+1843=1848, Resulting Numbers: [22, 1848]
Generated Node #3: [22, 1848] from Operation: 5+1843=1848
Current State: 84:[22, 1848], Operations: ['97*19=1843', '5+1843=1848']
Exploring Operation: 1848/22=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[22, 97, 19, 5], Operations: []
Exploring Operation: 97-19=78, Resulting Numbers: [22, 5, 78]
Generated Node #0,0: 84:[22, 5, 78] Operation: 97-19=78
Exploring Operation: 97-22=75, Resulting Numbers: [19, 5, 75]
Generated Node #0,1: 84:[19, 5, 75] Operation: 97-22=75
Exploring Operation: 97-5=92, Resulting Numbers: [22, 19, 92]
Generated Node #0,2: 84:[22, 19, 92] Operation: 97-5=92
Moving to Node #0,0
Current State: 84:[22, 5, 78], Operations: ['97-19=78']
Exploring Operation: 22-5=17, Resulting Numbers: [78, 17]
Generated Node #0,0,0: 84:[78, 17] Operation: 22-5=17
Exploring Operation: 5+78=83, Resulting Numbers: [22, 83]
Generated Node #0,0,1: 84:[22, 83] Operation: 5+78=83
Exploring Operation: 22+5=27, Resulting Numbers: [78, 27]
Generated Node #0,0,2: 84:[78, 27] Operation: 22+5=27
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 84:[22, 83], Operations: ['97-19=78', '5+78=83']
Exploring Operation: 22*83=1826, Resulting Numbers: [1826]
1826,84 unequal: No Solution
Exploring Operation: 83-22=61, Resulting Numbers: [61]
61,84 unequal: No Solution
Exploring Operation: 22+83=105, Resulting Numbers: [105]
105,84 unequal: No Solution
No 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: 84:[78, 27], Operations: ['97-19=78', '22+5=27']
Exploring Operation: 78+27=105, Resulting Numbers: [105]
105,84 unequal: No Solution
Exploring Operation: 78-27=51, Resulting Numbers: [51]
51,84 unequal: No Solution
Exploring Operation: 78*27=2106, Resulting Numbers: [2106]
2106,84 unequal: No Solution
No 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: 84:[78, 17], Operations: ['97-19=78', '22-5=17']
Exploring Operation: 78+17=95, Resulting Numbers: [95]
95,84 unequal: No Solution
Exploring Operation: 78*17=1326, Resulting Numbers: [1326]
1326,84 unequal: No Solution
Exploring Operation: 78-17=61, Resulting Numbers: [61]
61,84 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: 84:[22, 19, 92], Operations: ['97-5=92']
Exploring Operation: 22-19=3, Resulting Numbers: [92, 3]
Generated Node #0,2,0: 84:[92, 3] Operation: 22-19=3
Exploring Operation: 22+19=41, Resulting Numbers: [92, 41]
Generated Node #0,2,1: 84:[92, 41] Operation: 22+19=41
Exploring Operation: 92-19=73, Resulting Numbers: [22, 73]
Generated Node #0,2,2: 84:[22, 73] Operation: 92-19=73
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 84:[92, 3], Operations: ['97-5=92', '22-19=3']
Exploring Operation: 92*3=276, Resulting Numbers: [276]
276,84 unequal: No Solution
Exploring Operation: 92-3=89, Resulting Numbers: [89]
89,84 unequal: No Solution
Exploring Operation: 92+3=95, Resulting Numbers: [95]
95,84 unequal: No Solution
No 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: 84:[92, 41], Operations: ['97-5=92', '22+19=41']
Exploring Operation: 92*41=3772, Resulting Numbers: [3772]
3772,84 unequal: No Solution
Exploring Operation: 92-41=51, Resulting Numbers: [51]
51,84 unequal: No Solution
Exploring Operation: 92+41=133, Resulting Numbers: [133]
133,84 unequal: No Solution
No 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: 84:[22, 73], Operations: ['97-5=92', '92-19=73']
Exploring Operation: 73-22=51, Resulting Numbers: [51]
51,84 unequal: No Solution
Exploring Operation: 22*73=1606, Resulting Numbers: [1606]
1606,84 unequal: No Solution
Exploring Operation: 22+73=95, Resulting Numbers: [95]
95,84 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: 84:[19, 5, 75], Operations: ['97-22=75']
Exploring Operation: 19-5=14, Resulting Numbers: [75, 14]
Generated Node #0,1,0: 84:[75, 14] Operation: 19-5=14
Exploring Operation: 75/5=15, Resulting Numbers: [19, 15]
Generated Node #0,1,1: 84:[19, 15] Operation: 75/5=15
Exploring Operation: 5+75=80, Resulting Numbers: [19, 80]
Generated Node #0,1,2: 84:[19, 80] Operation: 5+75=80
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 84:[19, 15], Operations: ['97-22=75', '75/5=15']
Exploring Operation: 19-15=4, Resulting Numbers: [4]
4,84 unequal: No Solution
Exploring Operation: 19+15=34, Resulting Numbers: [34]
34,84 unequal: No Solution
Exploring Operation: 19*15=285, Resulting Numbers: [285]
285,84 unequal: No Solution
No 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: 84:[19, 80], Operations: ['97-22=75', '5+75=80']
Exploring Operation: 80-19=61, Resulting Numbers: [61]
61,84 unequal: No Solution
Exploring Operation: 19+80=99, Resulting Numbers: [99]
99,84 unequal: No Solution
Exploring Operation: 19*80=1520, Resulting Numbers: [1520]
1520,84 unequal: No Solution
No 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: 84:[75, 14], Operations: ['97-22=75', '19-5=14']
Exploring Operation: 75*14=1050, Resulting Numbers: [1050]
1050,84 unequal: No Solution
Exploring Operation: 75+14=89, Resulting Numbers: [89]
89,84 unequal: No Solution
Exploring Operation: 75-14=61, Resulting Numbers: [61]
61,84 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 |
[
27,
29,
20,
47
] | 65 | [
"29-27=2",
"20+47=67",
"67-2=65"
] | Current State: 65:[27, 29, 20, 47], Operations: []
Exploring Operation: 29-27=2, Resulting Numbers: [20, 47, 2]
Generated Node #2: [20, 47, 2] from Operation: 29-27=2
Current State: 65:[20, 47, 2], Operations: ['29-27=2']
Exploring Operation: 20+47=67, Resulting Numbers: [2, 67]
Generated Node #3: [2, 67] from Operation: 20+47=67
Current State: 65:[2, 67], Operations: ['29-27=2', '20+47=67']
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[27, 29, 20, 47], Operations: []
Exploring Operation: 47-29=18, Resulting Numbers: [27, 20, 18]
Generated Node #0,0: 65:[27, 20, 18] Operation: 47-29=18
Moving to Node #0,0
Current State: 65:[27, 20, 18], Operations: ['47-29=18']
Exploring Operation: 27-20=7, Resulting Numbers: [18, 7]
Generated Node #0,0,0: 65:[18, 7] Operation: 27-20=7
Moving to Node #0,0,0
Current State: 65:[18, 7], Operations: ['47-29=18', '27-20=7']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,65 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
50,
35,
12,
40
] | 33 | [
"50+35=85",
"12+40=52",
"85-52=33"
] | Current State: 33:[50, 35, 12, 40], Operations: []
Exploring Operation: 50+35=85, Resulting Numbers: [12, 40, 85]
Generated Node #2: [12, 40, 85] from Operation: 50+35=85
Current State: 33:[12, 40, 85], Operations: ['50+35=85']
Exploring Operation: 12+40=52, Resulting Numbers: [85, 52]
Generated Node #3: [85, 52] from Operation: 12+40=52
Current State: 33:[85, 52], Operations: ['50+35=85', '12+40=52']
Exploring Operation: 85-52=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[50, 35, 12, 40], Operations: []
Exploring Operation: 50-35=15, Resulting Numbers: [12, 40, 15]
Generated Node #0,0: 33:[12, 40, 15] Operation: 50-35=15
Exploring Operation: 50-40=10, Resulting Numbers: [35, 12, 10]
Generated Node #0,1: 33:[35, 12, 10] Operation: 50-40=10
Start Sub Search at level 1: Moving to Node #0,1
Current State: 33:[35, 12, 10], Operations: ['50-40=10']
Exploring Operation: 12-10=2, Resulting Numbers: [35, 2]
Generated Node #0,1,0: 33:[35, 2] Operation: 12-10=2
Exploring Operation: 35-10=25, Resulting Numbers: [12, 25]
Generated Node #0,1,1: 33:[12, 25] Operation: 35-10=25
Moving to Node #0,1,0
Current State: 33:[35, 2], Operations: ['50-40=10', '12-10=2']
Exploring Operation: 35+2=37, Resulting Numbers: [37]
37,33 unequal: No Solution
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[50, 35, 12, 40], Operations: []
Exploring Operation: 50-40=10, Resulting Numbers: [35, 12, 10]
Generated Node #0,1: 33:[35, 12, 10] Operation: 50-40=10
Moving to Node #0,1
Current State: 33:[35, 12, 10], Operations: ['50-40=10']
Exploring Operation: 12-10=2, Resulting Numbers: [35, 2]
Generated Node #0,1,0: 33:[35, 2] Operation: 12-10=2
Moving to Node #0,1,0
Current State: 33:[35, 2], Operations: ['50-40=10', '12-10=2']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
67,
15,
69,
94
] | 64 | [
"69-67=2",
"15*2=30",
"94-30=64"
] | Current State: 64:[67, 15, 69, 94], Operations: []
Exploring Operation: 69-67=2, Resulting Numbers: [15, 94, 2]
Generated Node #2: [15, 94, 2] from Operation: 69-67=2
Current State: 64:[15, 94, 2], Operations: ['69-67=2']
Exploring Operation: 15*2=30, Resulting Numbers: [94, 30]
Generated Node #3: [94, 30] from Operation: 15*2=30
Current State: 64:[94, 30], Operations: ['69-67=2', '15*2=30']
Exploring Operation: 94-30=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[67, 15, 69, 94], Operations: []
Exploring Operation: 94-15=79, Resulting Numbers: [67, 69, 79]
Generated Node #0,0: 64:[67, 69, 79] Operation: 94-15=79
Exploring Operation: 94-67=27, Resulting Numbers: [15, 69, 27]
Generated Node #0,1: 64:[15, 69, 27] Operation: 94-67=27
Exploring Operation: 94-69=25, Resulting Numbers: [67, 15, 25]
Generated Node #0,2: 64:[67, 15, 25] Operation: 94-69=25
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[15, 69, 27], Operations: ['94-67=27']
Exploring Operation: 27-15=12, Resulting Numbers: [69, 12]
Generated Node #0,1,0: 64:[69, 12] Operation: 27-15=12
Exploring Operation: 69-27=42, Resulting Numbers: [15, 42]
Generated Node #0,1,1: 64:[15, 42] Operation: 69-27=42
Exploring Operation: 69-15=54, Resulting Numbers: [27, 54]
Generated Node #0,1,2: 64:[27, 54] Operation: 69-15=54
Moving to Node #0,1,0
Current State: 64:[69, 12], Operations: ['94-67=27', '27-15=12']
Exploring Operation: 69+12=81, Resulting Numbers: [81]
81,64 unequal: No Solution
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,64 unequal: No Solution
Exploring Operation: 69*12=828, Resulting Numbers: [828]
828,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[15, 42], Operations: ['94-67=27', '69-27=42']
Exploring Operation: 15+42=57, Resulting Numbers: [57]
57,64 unequal: No Solution
Exploring Operation: 42-15=27, Resulting Numbers: [27]
27,64 unequal: No Solution
Exploring Operation: 15*42=630, Resulting Numbers: [630]
630,64 unequal: No Solution
Moving to Node #0,1,2
Current State: 64:[27, 54], Operations: ['94-67=27', '69-15=54']
Exploring Operation: 54-27=27, Resulting Numbers: [27]
27,64 unequal: No Solution
Exploring Operation: 54/27=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Exploring Operation: 27+54=81, Resulting Numbers: [81]
81,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 64:[67, 15, 25], Operations: ['94-69=25']
Exploring Operation: 67-25=42, Resulting Numbers: [15, 42]
Generated Node #0,2,0: 64:[15, 42] Operation: 67-25=42
Exploring Operation: 25-15=10, Resulting Numbers: [67, 10]
Generated Node #0,2,1: 64:[67, 10] Operation: 25-15=10
Exploring Operation: 15+25=40, Resulting Numbers: [67, 40]
Generated Node #0,2,2: 64:[67, 40] Operation: 15+25=40
Moving to Node #0,2,1
Current State: 64:[67, 10], Operations: ['94-69=25', '25-15=10']
Exploring Operation: 67*10=670, Resulting Numbers: [670]
670,64 unequal: No Solution
Exploring Operation: 67+10=77, Resulting Numbers: [77]
77,64 unequal: No Solution
Exploring Operation: 67-10=57, Resulting Numbers: [57]
57,64 unequal: No Solution
Moving to Node #0,2,0
Current State: 64:[15, 42], Operations: ['94-69=25', '67-25=42']
Exploring Operation: 42-15=27, Resulting Numbers: [27]
27,64 unequal: No Solution
Exploring Operation: 15*42=630, Resulting Numbers: [630]
630,64 unequal: No Solution
Exploring Operation: 15+42=57, Resulting Numbers: [57]
57,64 unequal: No Solution
Moving to Node #0,2,2
Current State: 64:[67, 40], Operations: ['94-69=25', '15+25=40']
Exploring Operation: 67-40=27, Resulting Numbers: [27]
27,64 unequal: No Solution
Exploring Operation: 67+40=107, Resulting Numbers: [107]
107,64 unequal: No Solution
Exploring Operation: 67*40=2680, Resulting Numbers: [2680]
2680,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[67, 69, 79], Operations: ['94-15=79']
Exploring Operation: 79-67=12, Resulting Numbers: [69, 12]
Generated Node #0,0,0: 64:[69, 12] Operation: 79-67=12
Exploring Operation: 79-69=10, Resulting Numbers: [67, 10]
Generated Node #0,0,1: 64:[67, 10] Operation: 79-69=10
Exploring Operation: 69-67=2, Resulting Numbers: [79, 2]
Generated Node #0,0,2: 64:[79, 2] Operation: 69-67=2
Moving to Node #0,0,1
Current State: 64:[67, 10], Operations: ['94-15=79', '79-69=10']
Exploring Operation: 67*10=670, Resulting Numbers: [670]
670,64 unequal: No Solution
Exploring Operation: 67+10=77, Resulting Numbers: [77]
77,64 unequal: No Solution
Exploring Operation: 67-10=57, Resulting Numbers: [57]
57,64 unequal: No Solution
Moving to Node #0,0,0
Current State: 64:[69, 12], Operations: ['94-15=79', '79-67=12']
Exploring Operation: 69+12=81, Resulting Numbers: [81]
81,64 unequal: No Solution
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,64 unequal: No Solution
Exploring Operation: 69*12=828, Resulting Numbers: [828]
828,64 unequal: No Solution
Moving to Node #0,0,2
Current State: 64:[79, 2], Operations: ['94-15=79', '69-67=2']
Exploring Operation: 79+2=81, Resulting Numbers: [81]
81,64 unequal: No Solution
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,64 unequal: No Solution
Exploring Operation: 79*2=158, Resulting Numbers: [158]
158,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
78,
20,
38,
48
] | 76 | [
"48-38=10",
"20/10=2",
"78-2=76"
] | Current State: 76:[78, 20, 38, 48], Operations: []
Exploring Operation: 48-38=10, Resulting Numbers: [78, 20, 10]
Generated Node #2: [78, 20, 10] from Operation: 48-38=10
Current State: 76:[78, 20, 10], Operations: ['48-38=10']
Exploring Operation: 20/10=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 20/10=2
Current State: 76:[78, 2], Operations: ['48-38=10', '20/10=2']
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[78, 20, 38, 48], Operations: []
Exploring Operation: 78-48=30, Resulting Numbers: [20, 38, 30]
Generated Node #0,0: 76:[20, 38, 30] Operation: 78-48=30
Moving to Node #0,0
Current State: 76:[20, 38, 30], Operations: ['78-48=30']
Exploring Operation: 38-30=8, Resulting Numbers: [20, 8]
Generated Node #0,0,0: 76:[20, 8] Operation: 38-30=8
Moving to Node #0,0,0
Current State: 76:[20, 8], Operations: ['78-48=30', '38-30=8']
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,76 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
34,
36,
53,
48
] | 96 | [
"34*48=1632",
"53-36=17",
"1632/17=96"
] | Current State: 96:[34, 36, 53, 48], Operations: []
Exploring Operation: 34*48=1632, Resulting Numbers: [36, 53, 1632]
Generated Node #2: [36, 53, 1632] from Operation: 34*48=1632
Current State: 96:[36, 53, 1632], Operations: ['34*48=1632']
Exploring Operation: 53-36=17, Resulting Numbers: [1632, 17]
Generated Node #3: [1632, 17] from Operation: 53-36=17
Current State: 96:[1632, 17], Operations: ['34*48=1632', '53-36=17']
Exploring Operation: 1632/17=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[34, 36, 53, 48], Operations: []
Exploring Operation: 36-34=2, Resulting Numbers: [53, 48, 2]
Generated Node #0,0: 96:[53, 48, 2] Operation: 36-34=2
Exploring Operation: 53-36=17, Resulting Numbers: [34, 48, 17]
Generated Node #0,1: 96:[34, 48, 17] Operation: 53-36=17
Exploring Operation: 53-34=19, Resulting Numbers: [36, 48, 19]
Generated Node #0,2: 96:[36, 48, 19] Operation: 53-34=19
Exploring Operation: 53-48=5, Resulting Numbers: [34, 36, 5]
Generated Node #0,3: 96:[34, 36, 5] Operation: 53-48=5
Exploring Operation: 48-36=12, Resulting Numbers: [34, 53, 12]
Generated Node #0,4: 96:[34, 53, 12] Operation: 48-36=12
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[34, 48, 17], Operations: ['53-36=17']
Exploring Operation: 34+17=51, Resulting Numbers: [48, 51]
Generated Node #0,1,0: 96:[48, 51] Operation: 34+17=51
Exploring Operation: 48-17=31, Resulting Numbers: [34, 31]
Generated Node #0,1,1: 96:[34, 31] Operation: 48-17=31
Exploring Operation: 48-34=14, Resulting Numbers: [17, 14]
Generated Node #0,1,2: 96:[17, 14] Operation: 48-34=14
Exploring Operation: 34/17=2, Resulting Numbers: [48, 2]
Generated Node #0,1,3: 96:[48, 2] Operation: 34/17=2
Exploring Operation: 34-17=17, Resulting Numbers: [48, 17]
Generated Node #0,1,4: 96:[48, 17] Operation: 34-17=17
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 96:[48, 2], Operations: ['53-36=17', '34/17=2']
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,96 unequal: No Solution
Exploring Operation: 48*2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[34, 36, 53, 48], Operations: []
Exploring Operation: 53-36=17, Resulting Numbers: [34, 48, 17]
Generated Node #0,1: 96:[34, 48, 17] Operation: 53-36=17
Moving to Node #0,1
Current State: 96:[34, 48, 17], Operations: ['53-36=17']
Exploring Operation: 34/17=2, Resulting Numbers: [48, 2]
Generated Node #0,1,3: 96:[48, 2] Operation: 34/17=2
Moving to Node #0,1,3
Current State: 96:[48, 2], Operations: ['53-36=17', '34/17=2']
Exploring Operation: 48*2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
44,
89,
62,
56
] | 51 | [
"89-44=45",
"62-56=6",
"45+6=51"
] | Current State: 51:[44, 89, 62, 56], Operations: []
Exploring Operation: 89-44=45, Resulting Numbers: [62, 56, 45]
Generated Node #2: [62, 56, 45] from Operation: 89-44=45
Current State: 51:[62, 56, 45], Operations: ['89-44=45']
Exploring Operation: 62-56=6, Resulting Numbers: [45, 6]
Generated Node #3: [45, 6] from Operation: 62-56=6
Current State: 51:[45, 6], Operations: ['89-44=45', '62-56=6']
Exploring Operation: 45+6=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[44, 89, 62, 56], Operations: []
Exploring Operation: 89-62=27, Resulting Numbers: [44, 56, 27]
Generated Node #0,0: 51:[44, 56, 27] Operation: 89-62=27
Exploring Operation: 62-44=18, Resulting Numbers: [89, 56, 18]
Generated Node #0,1: 51:[89, 56, 18] Operation: 62-44=18
Exploring Operation: 89-56=33, Resulting Numbers: [44, 62, 33]
Generated Node #0,2: 51:[44, 62, 33] Operation: 89-56=33
Exploring Operation: 89-44=45, Resulting Numbers: [62, 56, 45]
Generated Node #0,3: 51:[62, 56, 45] Operation: 89-44=45
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[44, 56, 27], Operations: ['89-62=27']
Exploring Operation: 56-27=29, Resulting Numbers: [44, 29]
Generated Node #0,0,0: 51:[44, 29] Operation: 56-27=29
Exploring Operation: 56-44=12, Resulting Numbers: [27, 12]
Generated Node #0,0,1: 51:[27, 12] Operation: 56-44=12
Exploring Operation: 44-27=17, Resulting Numbers: [56, 17]
Generated Node #0,0,2: 51:[56, 17] Operation: 44-27=17
Exploring Operation: 44+27=71, Resulting Numbers: [56, 71]
Generated Node #0,0,3: 51:[56, 71] Operation: 44+27=71
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 51:[56, 17], Operations: ['89-62=27', '44-27=17']
Exploring Operation: 56+17=73, Resulting Numbers: [73]
73,51 unequal: No Solution
Exploring Operation: 56-17=39, Resulting Numbers: [39]
39,51 unequal: No Solution
Exploring Operation: 56*17=952, Resulting Numbers: [952]
952,51 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 #0,0,1
Current State: 51:[27, 12], Operations: ['89-62=27', '56-44=12']
Exploring Operation: 27+12=39, Resulting Numbers: [39]
39,51 unequal: No Solution
Exploring Operation: 27*12=324, Resulting Numbers: [324]
324,51 unequal: No Solution
Exploring Operation: 27-12=15, Resulting Numbers: [15]
15,51 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:[44, 29], Operations: ['89-62=27', '56-27=29']
Exploring Operation: 44-29=15, Resulting Numbers: [15]
15,51 unequal: No Solution
Exploring Operation: 44+29=73, Resulting Numbers: [73]
73,51 unequal: No Solution
Exploring Operation: 44*29=1276, Resulting Numbers: [1276]
1276,51 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:[56, 71], Operations: ['89-62=27', '44+27=71']
Exploring Operation: 71-56=15, Resulting Numbers: [15]
15,51 unequal: No Solution
Exploring Operation: 56*71=3976, Resulting Numbers: [3976]
3976,51 unequal: No Solution
Exploring Operation: 56+71=127, Resulting Numbers: [127]
127,51 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:[62, 56, 45], Operations: ['89-44=45']
Exploring Operation: 56-45=11, Resulting Numbers: [62, 11]
Generated Node #0,3,0: 51:[62, 11] Operation: 56-45=11
Exploring Operation: 62-45=17, Resulting Numbers: [56, 17]
Generated Node #0,3,1: 51:[56, 17] Operation: 62-45=17
Exploring Operation: 62-56=6, Resulting Numbers: [45, 6]
Generated Node #0,3,2: 51:[45, 6] Operation: 62-56=6
Exploring Operation: 62+45=107, Resulting Numbers: [56, 107]
Generated Node #0,3,3: 51:[56, 107] Operation: 62+45=107
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 51:[56, 17], Operations: ['89-44=45', '62-45=17']
Exploring Operation: 56-17=39, Resulting Numbers: [39]
39,51 unequal: No Solution
Exploring Operation: 56+17=73, Resulting Numbers: [73]
73,51 unequal: No Solution
Exploring Operation: 56*17=952, Resulting Numbers: [952]
952,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 51:[45, 6], Operations: ['89-44=45', '62-56=6']
Exploring Operation: 45*6=270, Resulting Numbers: [270]
270,51 unequal: No Solution
Exploring Operation: 45+6=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[44, 89, 62, 56], Operations: []
Exploring Operation: 89-44=45, Resulting Numbers: [62, 56, 45]
Generated Node #0,3: 51:[62, 56, 45] Operation: 89-44=45
Moving to Node #0,3
Current State: 51:[62, 56, 45], Operations: ['89-44=45']
Exploring Operation: 62-56=6, Resulting Numbers: [45, 6]
Generated Node #0,3,2: 51:[45, 6] Operation: 62-56=6
Moving to Node #0,3,2
Current State: 51:[45, 6], Operations: ['89-44=45', '62-56=6']
Exploring Operation: 45+6=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.971354 | hs_4 | sum_heuristic |
[
33,
1,
66,
88
] | 90 | [
"33*1=33",
"66/33=2",
"88+2=90"
] | Current State: 90:[33, 1, 66, 88], Operations: []
Exploring Operation: 33*1=33, Resulting Numbers: [66, 88, 33]
Generated Node #2: [66, 88, 33] from Operation: 33*1=33
Current State: 90:[66, 88, 33], Operations: ['33*1=33']
Exploring Operation: 66/33=2, Resulting Numbers: [88, 2]
Generated Node #3: [88, 2] from Operation: 66/33=2
Current State: 90:[88, 2], Operations: ['33*1=33', '66/33=2']
Exploring Operation: 88+2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[33, 1, 66, 88], Operations: []
Exploring Operation: 88-66=22, Resulting Numbers: [33, 1, 22]
Generated Node #0,0: 90:[33, 1, 22] Operation: 88-66=22
Exploring Operation: 66/33=2, Resulting Numbers: [1, 88, 2]
Generated Node #0,1: 90:[1, 88, 2] Operation: 66/33=2
Exploring Operation: 66-33=33, Resulting Numbers: [1, 88, 33]
Generated Node #0,2: 90:[1, 88, 33] Operation: 66-33=33
Moving to Node #0,1
Current State: 90:[1, 88, 2], Operations: ['66/33=2']
Exploring Operation: 88+2=90, Resulting Numbers: [1, 90]
Generated Node #0,1,0: 90:[1, 90] Operation: 88+2=90
Exploring Operation: 1*88=88, Resulting Numbers: [2, 88]
Generated Node #0,1,1: 90:[2, 88] Operation: 1*88=88
Exploring Operation: 1+88=89, Resulting Numbers: [2, 89]
Generated Node #0,1,2: 90:[2, 89] Operation: 1+88=89
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 90:[1, 90], Operations: ['66/33=2', '88+2=90']
Exploring Operation: 1*90=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[33, 1, 66, 88], Operations: []
Exploring Operation: 66/33=2, Resulting Numbers: [1, 88, 2]
Generated Node #0,1: 90:[1, 88, 2] Operation: 66/33=2
Moving to Node #0,1
Current State: 90:[1, 88, 2], Operations: ['66/33=2']
Exploring Operation: 88+2=90, Resulting Numbers: [1, 90]
Generated Node #0,1,0: 90:[1, 90] Operation: 88+2=90
Moving to Node #0,1,0
Current State: 90:[1, 90], Operations: ['66/33=2', '88+2=90']
Exploring Operation: 1*90=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
91,
75,
2,
1
] | 30 | [
"91-75=16",
"16-1=15",
"2*15=30"
] | Current State: 30:[91, 75, 2, 1], Operations: []
Exploring Operation: 91-75=16, Resulting Numbers: [2, 1, 16]
Generated Node #2: [2, 1, 16] from Operation: 91-75=16
Current State: 30:[2, 1, 16], Operations: ['91-75=16']
Exploring Operation: 16-1=15, Resulting Numbers: [2, 15]
Generated Node #3: [2, 15] from Operation: 16-1=15
Current State: 30:[2, 15], Operations: ['91-75=16', '16-1=15']
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[91, 75, 2, 1], Operations: []
Exploring Operation: 75-2=73, Resulting Numbers: [91, 1, 73]
Generated Node #0,0: 30:[91, 1, 73] Operation: 75-2=73
Exploring Operation: 91-1=90, Resulting Numbers: [75, 2, 90]
Generated Node #0,1: 30:[75, 2, 90] Operation: 91-1=90
Exploring Operation: 91-2=89, Resulting Numbers: [75, 1, 89]
Generated Node #0,2: 30:[75, 1, 89] Operation: 91-2=89
Exploring Operation: 91-75=16, Resulting Numbers: [2, 1, 16]
Generated Node #0,3: 30:[2, 1, 16] Operation: 91-75=16
Moving to Node #0,3
Current State: 30:[2, 1, 16], Operations: ['91-75=16']
Exploring Operation: 16-1=15, Resulting Numbers: [2, 15]
Generated Node #0,3,0: 30:[2, 15] Operation: 16-1=15
Exploring Operation: 2/1=2, Resulting Numbers: [16, 2]
Generated Node #0,3,1: 30:[16, 2] Operation: 2/1=2
Exploring Operation: 2+1=3, Resulting Numbers: [16, 3]
Generated Node #0,3,2: 30:[16, 3] Operation: 2+1=3
Exploring Operation: 2*1=2, Resulting Numbers: [16, 2]
Generated Node #0,3,3: 30:[16, 2] Operation: 2*1=2
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 30:[2, 15], Operations: ['91-75=16', '16-1=15']
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[91, 75, 2, 1], Operations: []
Exploring Operation: 91-75=16, Resulting Numbers: [2, 1, 16]
Generated Node #0,3: 30:[2, 1, 16] Operation: 91-75=16
Moving to Node #0,3
Current State: 30:[2, 1, 16], Operations: ['91-75=16']
Exploring Operation: 16-1=15, Resulting Numbers: [2, 15]
Generated Node #0,3,0: 30:[2, 15] Operation: 16-1=15
Moving to Node #0,3,0
Current State: 30:[2, 15], Operations: ['91-75=16', '16-1=15']
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
2,
67,
98,
55
] | 88 | [
"67-2=65",
"98+55=153",
"153-65=88"
] | Current State: 88:[2, 67, 98, 55], Operations: []
Exploring Operation: 67-2=65, Resulting Numbers: [98, 55, 65]
Generated Node #2: [98, 55, 65] from Operation: 67-2=65
Current State: 88:[98, 55, 65], Operations: ['67-2=65']
Exploring Operation: 98+55=153, Resulting Numbers: [65, 153]
Generated Node #3: [65, 153] from Operation: 98+55=153
Current State: 88:[65, 153], Operations: ['67-2=65', '98+55=153']
Exploring Operation: 153-65=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[2, 67, 98, 55], Operations: []
Exploring Operation: 67-55=12, Resulting Numbers: [2, 98, 12]
Generated Node #0,0: 88:[2, 98, 12] Operation: 67-55=12
Exploring Operation: 98-55=43, Resulting Numbers: [2, 67, 43]
Generated Node #0,1: 88:[2, 67, 43] Operation: 98-55=43
Exploring Operation: 2+67=69, Resulting Numbers: [98, 55, 69]
Generated Node #0,2: 88:[98, 55, 69] Operation: 2+67=69
Exploring Operation: 98-67=31, Resulting Numbers: [2, 55, 31]
Generated Node #0,3: 88:[2, 55, 31] Operation: 98-67=31
Exploring Operation: 98/2=49, Resulting Numbers: [67, 55, 49]
Generated Node #0,4: 88:[67, 55, 49] Operation: 98/2=49
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[2, 98, 12], Operations: ['67-55=12']
Exploring Operation: 98-12=86, Resulting Numbers: [2, 86]
Generated Node #0,0,0: 88:[2, 86] Operation: 98-12=86
Exploring Operation: 2*12=24, Resulting Numbers: [98, 24]
Generated Node #0,0,1: 88:[98, 24] Operation: 2*12=24
Exploring Operation: 12-2=10, Resulting Numbers: [98, 10]
Generated Node #0,0,2: 88:[98, 10] Operation: 12-2=10
Exploring Operation: 98/2=49, Resulting Numbers: [12, 49]
Generated Node #0,0,3: 88:[12, 49] Operation: 98/2=49
Exploring Operation: 98-2=96, Resulting Numbers: [12, 96]
Generated Node #0,0,4: 88:[12, 96] Operation: 98-2=96
Moving to Node #0,0,0
Current State: 88:[2, 86], Operations: ['67-55=12', '98-12=86']
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,88 unequal: No Solution
Exploring Operation: 2+86=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[2, 67, 98, 55], Operations: []
Exploring Operation: 67-55=12, Resulting Numbers: [2, 98, 12]
Generated Node #0,0: 88:[2, 98, 12] Operation: 67-55=12
Moving to Node #0,0
Current State: 88:[2, 98, 12], Operations: ['67-55=12']
Exploring Operation: 98-12=86, Resulting Numbers: [2, 86]
Generated Node #0,0,0: 88:[2, 86] Operation: 98-12=86
Moving to Node #0,0,0
Current State: 88:[2, 86], Operations: ['67-55=12', '98-12=86']
Exploring Operation: 2+86=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
85,
55,
11,
72
] | 89 | [
"85*11=935",
"935/55=17",
"72+17=89"
] | Current State: 89:[85, 55, 11, 72], Operations: []
Exploring Operation: 85*11=935, Resulting Numbers: [55, 72, 935]
Generated Node #2: [55, 72, 935] from Operation: 85*11=935
Current State: 89:[55, 72, 935], Operations: ['85*11=935']
Exploring Operation: 935/55=17, Resulting Numbers: [72, 17]
Generated Node #3: [72, 17] from Operation: 935/55=17
Current State: 89:[72, 17], Operations: ['85*11=935', '935/55=17']
Exploring Operation: 72+17=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[85, 55, 11, 72], Operations: []
Exploring Operation: 85+11=96, Resulting Numbers: [55, 72, 96]
Generated Node #0,0: 89:[55, 72, 96] Operation: 85+11=96
Exploring Operation: 11+72=83, Resulting Numbers: [85, 55, 83]
Generated Node #0,1: 89:[85, 55, 83] Operation: 11+72=83
Exploring Operation: 55+11=66, Resulting Numbers: [85, 72, 66]
Generated Node #0,2: 89:[85, 72, 66] Operation: 55+11=66
Start Sub Search at level 1: Moving to Node #0,1
Current State: 89:[85, 55, 83], Operations: ['11+72=83']
Exploring Operation: 85+55=140, Resulting Numbers: [83, 140]
Generated Node #0,1,0: 89:[83, 140] Operation: 85+55=140
Exploring Operation: 55+83=138, Resulting Numbers: [85, 138]
Generated Node #0,1,1: 89:[85, 138] Operation: 55+83=138
Exploring Operation: 85-55=30, Resulting Numbers: [83, 30]
Generated Node #0,1,2: 89:[83, 30] Operation: 85-55=30
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 89:[85, 138], Operations: ['11+72=83', '55+83=138']
Exploring Operation: 85*138=11730, Resulting Numbers: [11730]
11730,89 unequal: No Solution
Exploring Operation: 85+138=223, Resulting Numbers: [223]
223,89 unequal: No Solution
Exploring Operation: 138-85=53, Resulting Numbers: [53]
53,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 89:[83, 140], Operations: ['11+72=83', '85+55=140']
Exploring Operation: 83*140=11620, Resulting Numbers: [11620]
11620,89 unequal: No Solution
Exploring Operation: 83+140=223, Resulting Numbers: [223]
223,89 unequal: No Solution
Exploring Operation: 140-83=57, Resulting Numbers: [57]
57,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 89:[83, 30], Operations: ['11+72=83', '85-55=30']
Exploring Operation: 83+30=113, Resulting Numbers: [113]
113,89 unequal: No Solution
Exploring Operation: 83*30=2490, Resulting Numbers: [2490]
2490,89 unequal: No Solution
Exploring Operation: 83-30=53, Resulting Numbers: [53]
53,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 89:[85, 72, 66], Operations: ['55+11=66']
Exploring Operation: 72+66=138, Resulting Numbers: [85, 138]
Generated Node #0,2,0: 89:[85, 138] Operation: 72+66=138
Exploring Operation: 85-66=19, Resulting Numbers: [72, 19]
Generated Node #0,2,1: 89:[72, 19] Operation: 85-66=19
Exploring Operation: 85+66=151, Resulting Numbers: [72, 151]
Generated Node #0,2,2: 89:[72, 151] Operation: 85+66=151
Moving to Node #0,2,0
Current State: 89:[85, 138], Operations: ['55+11=66', '72+66=138']
Exploring Operation: 138-85=53, Resulting Numbers: [53]
53,89 unequal: No Solution
Exploring Operation: 85+138=223, Resulting Numbers: [223]
223,89 unequal: No Solution
Exploring Operation: 85*138=11730, Resulting Numbers: [11730]
11730,89 unequal: No Solution
Moving to Node #0,2,2
Current State: 89:[72, 151], Operations: ['55+11=66', '85+66=151']
Exploring Operation: 72*151=10872, Resulting Numbers: [10872]
10872,89 unequal: No Solution
Exploring Operation: 151-72=79, Resulting Numbers: [79]
79,89 unequal: No Solution
Exploring Operation: 72+151=223, Resulting Numbers: [223]
223,89 unequal: No Solution
Moving to Node #0,2,1
Current State: 89:[72, 19], Operations: ['55+11=66', '85-66=19']
Exploring Operation: 72*19=1368, Resulting Numbers: [1368]
1368,89 unequal: No Solution
Exploring Operation: 72-19=53, Resulting Numbers: [53]
53,89 unequal: No Solution
Exploring Operation: 72+19=91, Resulting Numbers: [91]
91,89 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:[55, 72, 96], Operations: ['85+11=96']
Exploring Operation: 72-55=17, Resulting Numbers: [96, 17]
Generated Node #0,0,0: 89:[96, 17] Operation: 72-55=17
Exploring Operation: 55+72=127, Resulting Numbers: [96, 127]
Generated Node #0,0,1: 89:[96, 127] Operation: 55+72=127
Exploring Operation: 96-55=41, Resulting Numbers: [72, 41]
Generated Node #0,0,2: 89:[72, 41] Operation: 96-55=41
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 89:[96, 127], Operations: ['85+11=96', '55+72=127']
Exploring Operation: 127-96=31, Resulting Numbers: [31]
31,89 unequal: No Solution
Exploring Operation: 96+127=223, Resulting Numbers: [223]
223,89 unequal: No Solution
Exploring Operation: 96*127=12192, Resulting Numbers: [12192]
12192,89 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:[72, 41], Operations: ['85+11=96', '96-55=41']
Exploring Operation: 72-41=31, Resulting Numbers: [31]
31,89 unequal: No Solution
Exploring Operation: 72*41=2952, Resulting Numbers: [2952]
2952,89 unequal: No Solution
Exploring Operation: 72+41=113, Resulting Numbers: [113]
113,89 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:[96, 17], Operations: ['85+11=96', '72-55=17']
Exploring Operation: 96-17=79, Resulting Numbers: [79]
79,89 unequal: No Solution
Exploring Operation: 96+17=113, Resulting Numbers: [113]
113,89 unequal: No Solution
Exploring Operation: 96*17=1632, Resulting Numbers: [1632]
1632,89 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 |
[
57,
59,
10,
79
] | 55 | [
"79-59=20",
"20/10=2",
"57-2=55"
] | Current State: 55:[57, 59, 10, 79], Operations: []
Exploring Operation: 79-59=20, Resulting Numbers: [57, 10, 20]
Generated Node #2: [57, 10, 20] from Operation: 79-59=20
Current State: 55:[57, 10, 20], Operations: ['79-59=20']
Exploring Operation: 20/10=2, Resulting Numbers: [57, 2]
Generated Node #3: [57, 2] from Operation: 20/10=2
Current State: 55:[57, 2], Operations: ['79-59=20', '20/10=2']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[57, 59, 10, 79], Operations: []
Exploring Operation: 79-57=22, Resulting Numbers: [59, 10, 22]
Generated Node #0,0: 55:[59, 10, 22] Operation: 79-57=22
Exploring Operation: 59-57=2, Resulting Numbers: [10, 79, 2]
Generated Node #0,1: 55:[10, 79, 2] Operation: 59-57=2
Exploring Operation: 59-10=49, Resulting Numbers: [57, 79, 49]
Generated Node #0,2: 55:[57, 79, 49] Operation: 59-10=49
Exploring Operation: 79-59=20, Resulting Numbers: [57, 10, 20]
Generated Node #0,3: 55:[57, 10, 20] Operation: 79-59=20
Exploring Operation: 79-10=69, Resulting Numbers: [57, 59, 69]
Generated Node #0,4: 55:[57, 59, 69] Operation: 79-10=69
Start Sub Search at level 1: Moving to Node #0,3
Current State: 55:[57, 10, 20], Operations: ['79-59=20']
Exploring Operation: 57+10=67, Resulting Numbers: [20, 67]
Generated Node #0,3,0: 55:[20, 67] Operation: 57+10=67
Exploring Operation: 57-10=47, Resulting Numbers: [20, 47]
Generated Node #0,3,1: 55:[20, 47] Operation: 57-10=47
Exploring Operation: 20/10=2, Resulting Numbers: [57, 2]
Generated Node #0,3,2: 55:[57, 2] Operation: 20/10=2
Exploring Operation: 20-10=10, Resulting Numbers: [57, 10]
Generated Node #0,3,3: 55:[57, 10] Operation: 20-10=10
Exploring Operation: 57-20=37, Resulting Numbers: [10, 37]
Generated Node #0,3,4: 55:[10, 37] Operation: 57-20=37
Moving to Node #0,3,3
Current State: 55:[57, 10], Operations: ['79-59=20', '20-10=10']
Exploring Operation: 57*10=570, Resulting Numbers: [570]
570,55 unequal: No Solution
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,55 unequal: No Solution
Exploring Operation: 57+10=67, Resulting Numbers: [67]
67,55 unequal: No Solution
Moving to Node #0,3,2
Current State: 55:[57, 2], Operations: ['79-59=20', '20/10=2']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[57, 59, 10, 79], Operations: []
Exploring Operation: 79-59=20, Resulting Numbers: [57, 10, 20]
Generated Node #0,3: 55:[57, 10, 20] Operation: 79-59=20
Moving to Node #0,3
Current State: 55:[57, 10, 20], Operations: ['79-59=20']
Exploring Operation: 20/10=2, Resulting Numbers: [57, 2]
Generated Node #0,3,2: 55:[57, 2] Operation: 20/10=2
Moving to Node #0,3,2
Current State: 55:[57, 2], Operations: ['79-59=20', '20/10=2']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
24,
28,
1,
4
] | 84 | [
"28-1=27",
"4*27=108",
"108-24=84"
] | Current State: 84:[24, 28, 1, 4], Operations: []
Exploring Operation: 28-1=27, Resulting Numbers: [24, 4, 27]
Generated Node #2: [24, 4, 27] from Operation: 28-1=27
Current State: 84:[24, 4, 27], Operations: ['28-1=27']
Exploring Operation: 4*27=108, Resulting Numbers: [24, 108]
Generated Node #3: [24, 108] from Operation: 4*27=108
Current State: 84:[24, 108], Operations: ['28-1=27', '4*27=108']
Exploring Operation: 108-24=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[24, 28, 1, 4], Operations: []
Exploring Operation: 24/4=6, Resulting Numbers: [28, 1, 6]
Generated Node #0,0: 84:[28, 1, 6] Operation: 24/4=6
Exploring Operation: 24+4=28, Resulting Numbers: [28, 1, 28]
Generated Node #0,1: 84:[28, 1, 28] Operation: 24+4=28
Exploring Operation: 28-24=4, Resulting Numbers: [1, 4, 4]
Generated Node #0,2: 84:[1, 4, 4] Operation: 28-24=4
Exploring Operation: 24-1=23, Resulting Numbers: [28, 4, 23]
Generated Node #0,3: 84:[28, 4, 23] Operation: 24-1=23
Moving to Node #0,0
Current State: 84:[28, 1, 6], Operations: ['24/4=6']
Exploring Operation: 28/1=28, Resulting Numbers: [6, 28]
Generated Node #0,0,0: 84:[6, 28] Operation: 28/1=28
Exploring Operation: 28*1=28, Resulting Numbers: [6, 28]
Generated Node #0,0,1: 84:[6, 28] Operation: 28*1=28
Exploring Operation: 1*6=6, Resulting Numbers: [28, 6]
Generated Node #0,0,2: 84:[28, 6] Operation: 1*6=6
Exploring Operation: 1+6=7, Resulting Numbers: [28, 7]
Generated Node #0,0,3: 84:[28, 7] Operation: 1+6=7
Moving to Node #0,2
Current State: 84:[1, 4, 4], Operations: ['28-24=4']
Exploring Operation: 4-1=3, Resulting Numbers: [4, 3]
Generated Node #0,2,0: 84:[4, 3] Operation: 4-1=3
Exploring Operation: 1*4=4, Resulting Numbers: [4, 4]
Generated Node #0,2,1: 84:[4, 4] Operation: 1*4=4
Exploring Operation: 1*4=4, Resulting Numbers: [4, 4]
Generated Node #0,2,2: 84:[4, 4] Operation: 1*4=4
Exploring Operation: 4/1=4, Resulting Numbers: [4, 4]
Generated Node #0,2,3: 84:[4, 4] Operation: 4/1=4
Moving to Node #0,1
Current State: 84:[28, 1, 28], Operations: ['24+4=28']
Exploring Operation: 28*1=28, Resulting Numbers: [28, 28]
Generated Node #0,1,0: 84:[28, 28] Operation: 28*1=28
Exploring Operation: 1*28=28, Resulting Numbers: [28, 28]
Generated Node #0,1,1: 84:[28, 28] Operation: 1*28=28
Exploring Operation: 28/1=28, Resulting Numbers: [28, 28]
Generated Node #0,1,2: 84:[28, 28] Operation: 28/1=28
Exploring Operation: 28/1=28, Resulting Numbers: [28, 28]
Generated Node #0,1,3: 84:[28, 28] Operation: 28/1=28
Moving to Node #0,3
Current State: 84:[28, 4, 23], Operations: ['24-1=23']
Exploring Operation: 28/4=7, Resulting Numbers: [23, 7]
Generated Node #0,3,0: 84:[23, 7] Operation: 28/4=7
Exploring Operation: 28-23=5, Resulting Numbers: [4, 5]
Generated Node #0,3,1: 84:[4, 5] Operation: 28-23=5
Exploring Operation: 23-4=19, Resulting Numbers: [28, 19]
Generated Node #0,3,2: 84:[28, 19] Operation: 23-4=19
Exploring Operation: 4+23=27, Resulting Numbers: [28, 27]
Generated Node #0,3,3: 84:[28, 27] Operation: 4+23=27
Moving to Node #0,0,0
Current State: 84:[6, 28], Operations: ['24/4=6', '28/1=28']
Exploring Operation: 6*28=168, Resulting Numbers: [168]
168,84 unequal: No Solution
Exploring Operation: 6+28=34, Resulting Numbers: [34]
34,84 unequal: No Solution
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,84 unequal: No Solution
Moving to Node #0,0,2
Current State: 84:[28, 6], Operations: ['24/4=6', '1*6=6']
Exploring Operation: 28+6=34, Resulting Numbers: [34]
34,84 unequal: No Solution
Exploring Operation: 28*6=168, Resulting Numbers: [168]
168,84 unequal: No Solution
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,84 unequal: No Solution
Moving to Node #0,2,2
Current State: 84:[4, 4], Operations: ['28-24=4', '1*4=4']
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,84 unequal: No Solution
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,84 unequal: No Solution
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,84 unequal: No Solution
Moving to Node #0,2,1
Current State: 84:[4, 4], Operations: ['28-24=4', '1*4=4']
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,84 unequal: No Solution
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,84 unequal: No Solution
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,84 unequal: No Solution
Moving to Node #0,1,3
Current State: 84:[28, 28], Operations: ['24+4=28', '28/1=28']
Exploring Operation: 28*28=784, Resulting Numbers: [784]
784,84 unequal: No Solution
Exploring Operation: 28-28=0, Resulting Numbers: [0]
0,84 unequal: No Solution
Exploring Operation: 28/28=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 28+28=56, Resulting Numbers: [56]
56,84 unequal: No Solution
Moving to Node #0,0,1
Current State: 84:[6, 28], Operations: ['24/4=6', '28*1=28']
Exploring Operation: 6*28=168, Resulting Numbers: [168]
168,84 unequal: No Solution
Exploring Operation: 6+28=34, Resulting Numbers: [34]
34,84 unequal: No Solution
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,84 unequal: No Solution
Moving to Node #0,2,0
Current State: 84:[4, 3], Operations: ['28-24=4', '4-1=3']
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,84 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,84 unequal: No Solution
Moving to Node #0,1,2
Current State: 84:[28, 28], Operations: ['24+4=28', '28/1=28']
Exploring Operation: 28+28=56, Resulting Numbers: [56]
56,84 unequal: No Solution
Exploring Operation: 28*28=784, Resulting Numbers: [784]
784,84 unequal: No Solution
Exploring Operation: 28-28=0, Resulting Numbers: [0]
0,84 unequal: No Solution
Exploring Operation: 28/28=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Moving to Node #0,1,1
Current State: 84:[28, 28], Operations: ['24+4=28', '1*28=28']
Exploring Operation: 28/28=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 28+28=56, Resulting Numbers: [56]
56,84 unequal: No Solution
Exploring Operation: 28*28=784, Resulting Numbers: [784]
784,84 unequal: No Solution
Exploring Operation: 28-28=0, Resulting Numbers: [0]
0,84 unequal: No Solution
Moving to Node #0,0,3
Current State: 84:[28, 7], Operations: ['24/4=6', '1+6=7']
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,84 unequal: No Solution
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,84 unequal: No Solution
Exploring Operation: 28*7=196, Resulting Numbers: [196]
196,84 unequal: No Solution
Moving to Node #0,2,3
Current State: 84:[4, 4], Operations: ['28-24=4', '4/1=4']
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,84 unequal: No Solution
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,84 unequal: No Solution
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,84 unequal: No Solution
Moving to Node #0,1,0
Current State: 84:[28, 28], Operations: ['24+4=28', '28*1=28']
Exploring Operation: 28/28=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 28*28=784, Resulting Numbers: [784]
784,84 unequal: No Solution
Exploring Operation: 28-28=0, Resulting Numbers: [0]
0,84 unequal: No Solution
Exploring Operation: 28+28=56, Resulting Numbers: [56]
56,84 unequal: No Solution
Moving to Node #0,3,3
Current State: 84:[28, 27], Operations: ['24-1=23', '4+23=27']
Exploring Operation: 28*27=756, Resulting Numbers: [756]
756,84 unequal: No Solution
Exploring Operation: 28+27=55, Resulting Numbers: [55]
55,84 unequal: No Solution
Exploring Operation: 28-27=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Moving to Node #0,3,1
Current State: 84:[4, 5], Operations: ['24-1=23', '28-23=5']
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,84 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,84 unequal: No Solution
Moving to Node #0,3,2
Current State: 84:[28, 19], Operations: ['24-1=23', '23-4=19']
Exploring Operation: 28*19=532, Resulting Numbers: [532]
532,84 unequal: No Solution
Exploring Operation: 28+19=47, Resulting Numbers: [47]
47,84 unequal: No Solution
Exploring Operation: 28-19=9, Resulting Numbers: [9]
9,84 unequal: No Solution
Moving to Node #0,3,0
Current State: 84:[23, 7], Operations: ['24-1=23', '28/4=7']
Exploring Operation: 23+7=30, Resulting Numbers: [30]
30,84 unequal: No Solution
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,84 unequal: No Solution
Exploring Operation: 23*7=161, Resulting Numbers: [161]
161,84 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
26,
76,
28,
45
] | 32 | [
"45-26=19",
"76/19=4",
"28+4=32"
] | Current State: 32:[26, 76, 28, 45], Operations: []
Exploring Operation: 45-26=19, Resulting Numbers: [76, 28, 19]
Generated Node #2: [76, 28, 19] from Operation: 45-26=19
Current State: 32:[76, 28, 19], Operations: ['45-26=19']
Exploring Operation: 76/19=4, Resulting Numbers: [28, 4]
Generated Node #3: [28, 4] from Operation: 76/19=4
Current State: 32:[28, 4], Operations: ['45-26=19', '76/19=4']
Exploring Operation: 28+4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[26, 76, 28, 45], Operations: []
Exploring Operation: 76-45=31, Resulting Numbers: [26, 28, 31]
Generated Node #0,0: 32:[26, 28, 31] Operation: 76-45=31
Moving to Node #0,0
Current State: 32:[26, 28, 31], Operations: ['76-45=31']
Exploring Operation: 28-26=2, Resulting Numbers: [31, 2]
Generated Node #0,0,0: 32:[31, 2] Operation: 28-26=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 32:[31, 2], Operations: ['76-45=31', '28-26=2']
Exploring Operation: 31+2=33, Resulting Numbers: [33]
33,32 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 |
[
78,
41,
25,
41
] | 29 | [
"78-41=37",
"25+41=66",
"66-37=29"
] | Current State: 29:[78, 41, 25, 41], Operations: []
Exploring Operation: 78-41=37, Resulting Numbers: [25, 37]
Generated Node #2: [25, 37] from Operation: 78-41=37
Current State: 29:[25, 37], Operations: ['78-41=37']
Exploring Operation: 25+41=66, Resulting Numbers: [37, 66]
Generated Node #3: [37, 66] from Operation: 25+41=66
Current State: 29:[37, 66], Operations: ['78-41=37', '25+41=66']
Exploring Operation: 66-37=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[78, 41, 25, 41], Operations: []
Exploring Operation: 78-41=37, Resulting Numbers: [25, 41, 37]
Generated Node #0,0: 29:[25, 41, 37] Operation: 78-41=37
Moving to Node #0,0
Current State: 29:[25, 41, 37], Operations: ['78-41=37']
Exploring Operation: 41-25=16, Resulting Numbers: [37, 16]
Generated Node #0,0,0: 29:[37, 16] Operation: 41-25=16
Moving to Node #0,0,0
Current State: 29:[37, 16], Operations: ['78-41=37', '41-25=16']
Exploring Operation: 37-16=21, Resulting Numbers: [21]
21,29 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
88,
8,
24,
9
] | 94 | [
"88+9=97",
"24/8=3",
"97-3=94"
] | Current State: 94:[88, 8, 24, 9], Operations: []
Exploring Operation: 88+9=97, Resulting Numbers: [8, 24, 97]
Generated Node #2: [8, 24, 97] from Operation: 88+9=97
Current State: 94:[8, 24, 97], Operations: ['88+9=97']
Exploring Operation: 24/8=3, Resulting Numbers: [97, 3]
Generated Node #3: [97, 3] from Operation: 24/8=3
Current State: 94:[97, 3], Operations: ['88+9=97', '24/8=3']
Exploring Operation: 97-3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[88, 8, 24, 9], Operations: []
Exploring Operation: 24/8=3, Resulting Numbers: [88, 9, 3]
Generated Node #0,0: 94:[88, 9, 3] Operation: 24/8=3
Exploring Operation: 24-9=15, Resulting Numbers: [88, 8, 15]
Generated Node #0,1: 94:[88, 8, 15] Operation: 24-9=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[88, 9, 3], Operations: ['24/8=3']
Exploring Operation: 9/3=3, Resulting Numbers: [88, 3]
Generated Node #0,0,0: 94:[88, 3] Operation: 9/3=3
Exploring Operation: 88+9=97, Resulting Numbers: [3, 97]
Generated Node #0,0,1: 94:[3, 97] Operation: 88+9=97
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 94:[3, 97], Operations: ['24/8=3', '88+9=97']
Exploring Operation: 3+97=100, Resulting Numbers: [100]
100,94 unequal: No Solution
Exploring Operation: 97-3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[88, 8, 24, 9], Operations: []
Exploring Operation: 24/8=3, Resulting Numbers: [88, 9, 3]
Generated Node #0,0: 94:[88, 9, 3] Operation: 24/8=3
Moving to Node #0,0
Current State: 94:[88, 9, 3], Operations: ['24/8=3']
Exploring Operation: 88+9=97, Resulting Numbers: [3, 97]
Generated Node #0,0,1: 94:[3, 97] Operation: 88+9=97
Moving to Node #0,0,1
Current State: 94:[3, 97], Operations: ['24/8=3', '88+9=97']
Exploring Operation: 97-3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
57,
19,
79,
99
] | 18 | [
"57-19=38",
"99-79=20",
"38-20=18"
] | Current State: 18:[57, 19, 79, 99], Operations: []
Exploring Operation: 57-19=38, Resulting Numbers: [79, 99, 38]
Generated Node #2: [79, 99, 38] from Operation: 57-19=38
Current State: 18:[79, 99, 38], Operations: ['57-19=38']
Exploring Operation: 99-79=20, Resulting Numbers: [38, 20]
Generated Node #3: [38, 20] from Operation: 99-79=20
Current State: 18:[38, 20], Operations: ['57-19=38', '99-79=20']
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[57, 19, 79, 99], Operations: []
Exploring Operation: 57/19=3, Resulting Numbers: [79, 99, 3]
Generated Node #0,0: 18:[79, 99, 3] Operation: 57/19=3
Exploring Operation: 57-19=38, Resulting Numbers: [79, 99, 38]
Generated Node #0,1: 18:[79, 99, 38] Operation: 57-19=38
Exploring Operation: 99-57=42, Resulting Numbers: [19, 79, 42]
Generated Node #0,2: 18:[19, 79, 42] Operation: 99-57=42
Exploring Operation: 99-79=20, Resulting Numbers: [57, 19, 20]
Generated Node #0,3: 18:[57, 19, 20] Operation: 99-79=20
Exploring Operation: 79-57=22, Resulting Numbers: [19, 99, 22]
Generated Node #0,4: 18:[19, 99, 22] Operation: 79-57=22
Start Sub Search at level 1: Moving to Node #0,3
Current State: 18:[57, 19, 20], Operations: ['99-79=20']
Exploring Operation: 57-20=37, Resulting Numbers: [19, 37]
Generated Node #0,3,0: 18:[19, 37] Operation: 57-20=37
Exploring Operation: 57/19=3, Resulting Numbers: [20, 3]
Generated Node #0,3,1: 18:[20, 3] Operation: 57/19=3
Exploring Operation: 20-19=1, Resulting Numbers: [57, 1]
Generated Node #0,3,2: 18:[57, 1] Operation: 20-19=1
Exploring Operation: 57+19=76, Resulting Numbers: [20, 76]
Generated Node #0,3,3: 18:[20, 76] Operation: 57+19=76
Exploring Operation: 57-19=38, Resulting Numbers: [20, 38]
Generated Node #0,3,4: 18:[20, 38] Operation: 57-19=38
Moving to Node #0,3,1
Current State: 18:[20, 3], Operations: ['99-79=20', '57/19=3']
Exploring Operation: 20*3=60, Resulting Numbers: [60]
60,18 unequal: No Solution
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,18 unequal: No Solution
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,18 unequal: No Solution
Moving to Node #0,3,0
Current State: 18:[19, 37], Operations: ['99-79=20', '57-20=37']
Exploring Operation: 37-19=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[57, 19, 79, 99], Operations: []
Exploring Operation: 99-79=20, Resulting Numbers: [57, 19, 20]
Generated Node #0,3: 18:[57, 19, 20] Operation: 99-79=20
Moving to Node #0,3
Current State: 18:[57, 19, 20], Operations: ['99-79=20']
Exploring Operation: 57-20=37, Resulting Numbers: [19, 37]
Generated Node #0,3,0: 18:[19, 37] Operation: 57-20=37
Moving to Node #0,3,0
Current State: 18:[19, 37], Operations: ['99-79=20', '57-20=37']
Exploring Operation: 37-19=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | mult_heuristic |
[
65,
58,
26,
92
] | 90 | [
"65-58=7",
"26*7=182",
"182-92=90"
] | Current State: 90:[65, 58, 26, 92], Operations: []
Exploring Operation: 65-58=7, Resulting Numbers: [26, 92, 7]
Generated Node #2: [26, 92, 7] from Operation: 65-58=7
Current State: 90:[26, 92, 7], Operations: ['65-58=7']
Exploring Operation: 26*7=182, Resulting Numbers: [92, 182]
Generated Node #3: [92, 182] from Operation: 26*7=182
Current State: 90:[92, 182], Operations: ['65-58=7', '26*7=182']
Exploring Operation: 182-92=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[65, 58, 26, 92], Operations: []
Exploring Operation: 92-65=27, Resulting Numbers: [58, 26, 27]
Generated Node #0,0: 90:[58, 26, 27] Operation: 92-65=27
Exploring Operation: 65+26=91, Resulting Numbers: [58, 92, 91]
Generated Node #0,1: 90:[58, 92, 91] Operation: 65+26=91
Exploring Operation: 65-58=7, Resulting Numbers: [26, 92, 7]
Generated Node #0,2: 90:[26, 92, 7] Operation: 65-58=7
Exploring Operation: 65-26=39, Resulting Numbers: [58, 92, 39]
Generated Node #0,3: 90:[58, 92, 39] Operation: 65-26=39
Moving to Node #0,2
Current State: 90:[26, 92, 7], Operations: ['65-58=7']
Exploring Operation: 26-7=19, Resulting Numbers: [92, 19]
Generated Node #0,2,0: 90:[92, 19] Operation: 26-7=19
Exploring Operation: 92+7=99, Resulting Numbers: [26, 99]
Generated Node #0,2,1: 90:[26, 99] Operation: 92+7=99
Exploring Operation: 92-7=85, Resulting Numbers: [26, 85]
Generated Node #0,2,2: 90:[26, 85] Operation: 92-7=85
Exploring Operation: 26+7=33, Resulting Numbers: [92, 33]
Generated Node #0,2,3: 90:[92, 33] Operation: 26+7=33
Moving to Node #0,1
Current State: 90:[58, 92, 91], Operations: ['65+26=91']
Exploring Operation: 92-91=1, Resulting Numbers: [58, 1]
Generated Node #0,1,0: 90:[58, 1] Operation: 92-91=1
Exploring Operation: 91-58=33, Resulting Numbers: [92, 33]
Generated Node #0,1,1: 90:[92, 33] Operation: 91-58=33
Exploring Operation: 58+92=150, Resulting Numbers: [91, 150]
Generated Node #0,1,2: 90:[91, 150] Operation: 58+92=150
Exploring Operation: 92-58=34, Resulting Numbers: [91, 34]
Generated Node #0,1,3: 90:[91, 34] Operation: 92-58=34
Moving to Node #0,0
Current State: 90:[58, 26, 27], Operations: ['92-65=27']
Exploring Operation: 58+27=85, Resulting Numbers: [26, 85]
Generated Node #0,0,0: 90:[26, 85] Operation: 58+27=85
Exploring Operation: 58-27=31, Resulting Numbers: [26, 31]
Generated Node #0,0,1: 90:[26, 31] Operation: 58-27=31
Exploring Operation: 58-26=32, Resulting Numbers: [27, 32]
Generated Node #0,0,2: 90:[27, 32] Operation: 58-26=32
Exploring Operation: 58+26=84, Resulting Numbers: [27, 84]
Generated Node #0,0,3: 90:[27, 84] Operation: 58+26=84
Moving to Node #0,3
Current State: 90:[58, 92, 39], Operations: ['65-26=39']
Exploring Operation: 58-39=19, Resulting Numbers: [92, 19]
Generated Node #0,3,0: 90:[92, 19] Operation: 58-39=19
Exploring Operation: 92-39=53, Resulting Numbers: [58, 53]
Generated Node #0,3,1: 90:[58, 53] Operation: 92-39=53
Exploring Operation: 92-58=34, Resulting Numbers: [39, 34]
Generated Node #0,3,2: 90:[39, 34] Operation: 92-58=34
Exploring Operation: 58+39=97, Resulting Numbers: [92, 97]
Generated Node #0,3,3: 90:[92, 97] Operation: 58+39=97
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 90:[92, 19], Operations: ['65-26=39', '58-39=19']
Exploring Operation: 92+19=111, Resulting Numbers: [111]
111,90 unequal: No Solution
Exploring Operation: 92-19=73, Resulting Numbers: [73]
73,90 unequal: No Solution
Exploring Operation: 92*19=1748, Resulting Numbers: [1748]
1748,90 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 #0,3,3
Current State: 90:[92, 97], Operations: ['65-26=39', '58+39=97']
Exploring Operation: 92*97=8924, Resulting Numbers: [8924]
8924,90 unequal: No Solution
Exploring Operation: 92+97=189, Resulting Numbers: [189]
189,90 unequal: No Solution
Exploring Operation: 97-92=5, Resulting Numbers: [5]
5,90 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 #0,3,2
Current State: 90:[39, 34], Operations: ['65-26=39', '92-58=34']
Exploring Operation: 39+34=73, Resulting Numbers: [73]
73,90 unequal: No Solution
Exploring Operation: 39*34=1326, Resulting Numbers: [1326]
1326,90 unequal: No Solution
Exploring Operation: 39-34=5, Resulting Numbers: [5]
5,90 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 #0,3,1
Current State: 90:[58, 53], Operations: ['65-26=39', '92-39=53']
Exploring Operation: 58+53=111, Resulting Numbers: [111]
111,90 unequal: No Solution
Exploring Operation: 58*53=3074, Resulting Numbers: [3074]
3074,90 unequal: No Solution
Exploring Operation: 58-53=5, Resulting Numbers: [5]
5,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 90:[92, 19], Operations: ['65-58=7', '26-7=19']
Exploring Operation: 92*19=1748, Resulting Numbers: [1748]
1748,90 unequal: No Solution
Exploring Operation: 92+19=111, Resulting Numbers: [111]
111,90 unequal: No Solution
Exploring Operation: 92-19=73, Resulting Numbers: [73]
73,90 unequal: No Solution
Moving to Node #0,1,3
Current State: 90:[91, 34], Operations: ['65+26=91', '92-58=34']
Exploring Operation: 91+34=125, Resulting Numbers: [125]
125,90 unequal: No Solution
Exploring Operation: 91-34=57, Resulting Numbers: [57]
57,90 unequal: No Solution
Exploring Operation: 91*34=3094, Resulting Numbers: [3094]
3094,90 unequal: No Solution
Moving to Node #0,2,3
Current State: 90:[92, 33], Operations: ['65-58=7', '26+7=33']
Exploring Operation: 92*33=3036, Resulting Numbers: [3036]
3036,90 unequal: No Solution
Exploring Operation: 92-33=59, Resulting Numbers: [59]
59,90 unequal: No Solution
Exploring Operation: 92+33=125, Resulting Numbers: [125]
125,90 unequal: No Solution
Moving to Node #0,1,1
Current State: 90:[92, 33], Operations: ['65+26=91', '91-58=33']
Exploring Operation: 92+33=125, Resulting Numbers: [125]
125,90 unequal: No Solution
Exploring Operation: 92*33=3036, Resulting Numbers: [3036]
3036,90 unequal: No Solution
Exploring Operation: 92-33=59, Resulting Numbers: [59]
59,90 unequal: No Solution
Moving to Node #0,0,2
Current State: 90:[27, 32], Operations: ['92-65=27', '58-26=32']
Exploring Operation: 27+32=59, Resulting Numbers: [59]
59,90 unequal: No Solution
Exploring Operation: 32-27=5, Resulting Numbers: [5]
5,90 unequal: No Solution
Exploring Operation: 27*32=864, Resulting Numbers: [864]
864,90 unequal: No Solution
Moving to Node #0,0,1
Current State: 90:[26, 31], Operations: ['92-65=27', '58-27=31']
Exploring Operation: 31-26=5, Resulting Numbers: [5]
5,90 unequal: No Solution
Exploring Operation: 26*31=806, Resulting Numbers: [806]
806,90 unequal: No Solution
Exploring Operation: 26+31=57, Resulting Numbers: [57]
57,90 unequal: No Solution
Moving to Node #0,2,2
Current State: 90:[26, 85], Operations: ['65-58=7', '92-7=85']
Exploring Operation: 26*85=2210, Resulting Numbers: [2210]
2210,90 unequal: No Solution
Exploring Operation: 85-26=59, Resulting Numbers: [59]
59,90 unequal: No Solution
Exploring Operation: 26+85=111, Resulting Numbers: [111]
111,90 unequal: No Solution
Moving to Node #0,0,3
Current State: 90:[27, 84], Operations: ['92-65=27', '58+26=84']
Exploring Operation: 84-27=57, Resulting Numbers: [57]
57,90 unequal: No Solution
Exploring Operation: 27*84=2268, Resulting Numbers: [2268]
2268,90 unequal: No Solution
Exploring Operation: 27+84=111, Resulting Numbers: [111]
111,90 unequal: No Solution
Moving to Node #0,0,0
Current State: 90:[26, 85], Operations: ['92-65=27', '58+27=85']
Exploring Operation: 26*85=2210, Resulting Numbers: [2210]
2210,90 unequal: No Solution
Exploring Operation: 26+85=111, Resulting Numbers: [111]
111,90 unequal: No Solution
Exploring Operation: 85-26=59, Resulting Numbers: [59]
59,90 unequal: No Solution
Moving to Node #0,2,1
Current State: 90:[26, 99], Operations: ['65-58=7', '92+7=99']
Exploring Operation: 99-26=73, Resulting Numbers: [73]
73,90 unequal: No Solution
Exploring Operation: 26*99=2574, Resulting Numbers: [2574]
2574,90 unequal: No Solution
Exploring Operation: 26+99=125, Resulting Numbers: [125]
125,90 unequal: No Solution
Moving to Node #0,1,0
Current State: 90:[58, 1], Operations: ['65+26=91', '92-91=1']
Exploring Operation: 58+1=59, Resulting Numbers: [59]
59,90 unequal: No Solution
Exploring Operation: 58/1=58, Resulting Numbers: [58]
58,90 unequal: No Solution
Exploring Operation: 58-1=57, Resulting Numbers: [57]
57,90 unequal: No Solution
Exploring Operation: 58*1=58, Resulting Numbers: [58]
58,90 unequal: No Solution
Moving to Node #0,1,2
Current State: 90:[91, 150], Operations: ['65+26=91', '58+92=150']
Exploring Operation: 91+150=241, Resulting Numbers: [241]
241,90 unequal: No Solution
Exploring Operation: 150-91=59, Resulting Numbers: [59]
59,90 unequal: No Solution
Exploring Operation: 91*150=13650, Resulting Numbers: [13650]
13650,90 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
12,
41,
88,
77
] | 18 | [
"41-12=29",
"88-77=11",
"29-11=18"
] | Current State: 18:[12, 41, 88, 77], Operations: []
Exploring Operation: 41-12=29, Resulting Numbers: [88, 77, 29]
Generated Node #2: [88, 77, 29] from Operation: 41-12=29
Current State: 18:[88, 77, 29], Operations: ['41-12=29']
Exploring Operation: 88-77=11, Resulting Numbers: [29, 11]
Generated Node #3: [29, 11] from Operation: 88-77=11
Current State: 18:[29, 11], Operations: ['41-12=29', '88-77=11']
Exploring Operation: 29-11=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[12, 41, 88, 77], Operations: []
Exploring Operation: 77-41=36, Resulting Numbers: [12, 88, 36]
Generated Node #0,0: 18:[12, 88, 36] Operation: 77-41=36
Exploring Operation: 88-77=11, Resulting Numbers: [12, 41, 11]
Generated Node #0,1: 18:[12, 41, 11] Operation: 88-77=11
Exploring Operation: 88-41=47, Resulting Numbers: [12, 77, 47]
Generated Node #0,2: 18:[12, 77, 47] Operation: 88-41=47
Exploring Operation: 41-12=29, Resulting Numbers: [88, 77, 29]
Generated Node #0,3: 18:[88, 77, 29] Operation: 41-12=29
Exploring Operation: 88-12=76, Resulting Numbers: [41, 77, 76]
Generated Node #0,4: 18:[41, 77, 76] Operation: 88-12=76
Start Sub Search at level 1: Moving to Node #0,1
Current State: 18:[12, 41, 11], Operations: ['88-77=11']
Exploring Operation: 12-11=1, Resulting Numbers: [41, 1]
Generated Node #0,1,0: 18:[41, 1] Operation: 12-11=1
Exploring Operation: 41-12=29, Resulting Numbers: [11, 29]
Generated Node #0,1,1: 18:[11, 29] Operation: 41-12=29
Exploring Operation: 12+11=23, Resulting Numbers: [41, 23]
Generated Node #0,1,2: 18:[41, 23] Operation: 12+11=23
Exploring Operation: 12+41=53, Resulting Numbers: [11, 53]
Generated Node #0,1,3: 18:[11, 53] Operation: 12+41=53
Exploring Operation: 41-11=30, Resulting Numbers: [12, 30]
Generated Node #0,1,4: 18:[12, 30] Operation: 41-11=30
Moving to Node #0,1,1
Current State: 18:[11, 29], Operations: ['88-77=11', '41-12=29']
Exploring Operation: 29-11=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[12, 41, 88, 77], Operations: []
Exploring Operation: 88-77=11, Resulting Numbers: [12, 41, 11]
Generated Node #0,1: 18:[12, 41, 11] Operation: 88-77=11
Moving to Node #0,1
Current State: 18:[12, 41, 11], Operations: ['88-77=11']
Exploring Operation: 41-12=29, Resulting Numbers: [11, 29]
Generated Node #0,1,1: 18:[11, 29] Operation: 41-12=29
Moving to Node #0,1,1
Current State: 18:[11, 29], Operations: ['88-77=11', '41-12=29']
Exploring Operation: 29-11=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
80,
70,
56,
56
] | 30 | [
"80-56=24",
"70*24=1680",
"1680/56=30"
] | Current State: 30:[80, 70, 56, 56], Operations: []
Exploring Operation: 80-56=24, Resulting Numbers: [70, 24]
Generated Node #2: [70, 24] from Operation: 80-56=24
Current State: 30:[70, 24], Operations: ['80-56=24']
Exploring Operation: 70*24=1680, Resulting Numbers: [1680]
1680,30 equal: Goal Reached
Exploring Operation: 1680/56=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[80, 70, 56, 56], Operations: []
Exploring Operation: 80-70=10, Resulting Numbers: [56, 56, 10]
Generated Node #0,0: 30:[56, 56, 10] Operation: 80-70=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[56, 56, 10], Operations: ['80-70=10']
Exploring Operation: 56/56=1, Resulting Numbers: [10, 1]
Generated Node #0,0,0: 30:[10, 1] Operation: 56/56=1
Moving to Node #0,0,0
Current State: 30:[10, 1], Operations: ['80-70=10', '56/56=1']
Exploring Operation: 10*1=10, Resulting Numbers: [10]
10,30 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 |
[
41,
13,
11,
96
] | 92 | [
"41+11=52",
"52/13=4",
"96-4=92"
] | Current State: 92:[41, 13, 11, 96], Operations: []
Exploring Operation: 41+11=52, Resulting Numbers: [13, 96, 52]
Generated Node #2: [13, 96, 52] from Operation: 41+11=52
Current State: 92:[13, 96, 52], Operations: ['41+11=52']
Exploring Operation: 52/13=4, Resulting Numbers: [96, 4]
Generated Node #3: [96, 4] from Operation: 52/13=4
Current State: 92:[96, 4], Operations: ['41+11=52', '52/13=4']
Exploring Operation: 96-4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[41, 13, 11, 96], Operations: []
Exploring Operation: 13-11=2, Resulting Numbers: [41, 96, 2]
Generated Node #0,0: 92:[41, 96, 2] Operation: 13-11=2
Exploring Operation: 13+11=24, Resulting Numbers: [41, 96, 24]
Generated Node #0,1: 92:[41, 96, 24] Operation: 13+11=24
Exploring Operation: 41-13=28, Resulting Numbers: [11, 96, 28]
Generated Node #0,2: 92:[11, 96, 28] Operation: 41-13=28
Exploring Operation: 41+11=52, Resulting Numbers: [13, 96, 52]
Generated Node #0,3: 92:[13, 96, 52] Operation: 41+11=52
Exploring Operation: 41+13=54, Resulting Numbers: [11, 96, 54]
Generated Node #0,4: 92:[11, 96, 54] Operation: 41+13=54
Moving to Node #0,0
Current State: 92:[41, 96, 2], Operations: ['13-11=2']
Exploring Operation: 41-2=39, Resulting Numbers: [96, 39]
Generated Node #0,0,0: 92:[96, 39] Operation: 41-2=39
Exploring Operation: 41+2=43, Resulting Numbers: [96, 43]
Generated Node #0,0,1: 92:[96, 43] Operation: 41+2=43
Exploring Operation: 96/2=48, Resulting Numbers: [41, 48]
Generated Node #0,0,2: 92:[41, 48] Operation: 96/2=48
Exploring Operation: 96-41=55, Resulting Numbers: [2, 55]
Generated Node #0,0,3: 92:[2, 55] Operation: 96-41=55
Exploring Operation: 96-2=94, Resulting Numbers: [41, 94]
Generated Node #0,0,4: 92:[41, 94] Operation: 96-2=94
Moving to Node #0,1
Current State: 92:[41, 96, 24], Operations: ['13+11=24']
Exploring Operation: 41-24=17, Resulting Numbers: [96, 17]
Generated Node #0,1,0: 92:[96, 17] Operation: 41-24=17
Exploring Operation: 41+24=65, Resulting Numbers: [96, 65]
Generated Node #0,1,1: 92:[96, 65] Operation: 41+24=65
Exploring Operation: 96-41=55, Resulting Numbers: [24, 55]
Generated Node #0,1,2: 92:[24, 55] Operation: 96-41=55
Exploring Operation: 96/24=4, Resulting Numbers: [41, 4]
Generated Node #0,1,3: 92:[41, 4] Operation: 96/24=4
Exploring Operation: 96-24=72, Resulting Numbers: [41, 72]
Generated Node #0,1,4: 92:[41, 72] Operation: 96-24=72
Moving to Node #0,2
Current State: 92:[11, 96, 28], Operations: ['41-13=28']
Exploring Operation: 28-11=17, Resulting Numbers: [96, 17]
Generated Node #0,2,0: 92:[96, 17] Operation: 28-11=17
Exploring Operation: 96-11=85, Resulting Numbers: [28, 85]
Generated Node #0,2,1: 92:[28, 85] Operation: 96-11=85
Exploring Operation: 11+96=107, Resulting Numbers: [28, 107]
Generated Node #0,2,2: 92:[28, 107] Operation: 11+96=107
Exploring Operation: 96-28=68, Resulting Numbers: [11, 68]
Generated Node #0,2,3: 92:[11, 68] Operation: 96-28=68
Exploring Operation: 11+28=39, Resulting Numbers: [96, 39]
Generated Node #0,2,4: 92:[96, 39] Operation: 11+28=39
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 92:[96, 17], Operations: ['41-13=28', '28-11=17']
Exploring Operation: 96+17=113, Resulting Numbers: [113]
113,92 unequal: No Solution
Exploring Operation: 96-17=79, Resulting Numbers: [79]
79,92 unequal: No Solution
Exploring Operation: 96*17=1632, Resulting Numbers: [1632]
1632,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 92:[96, 39], Operations: ['41-13=28', '11+28=39']
Exploring Operation: 96*39=3744, Resulting Numbers: [3744]
3744,92 unequal: No Solution
Exploring Operation: 96+39=135, Resulting Numbers: [135]
135,92 unequal: No Solution
Exploring Operation: 96-39=57, Resulting Numbers: [57]
57,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 92:[28, 85], Operations: ['41-13=28', '96-11=85']
Exploring Operation: 28*85=2380, Resulting Numbers: [2380]
2380,92 unequal: No Solution
Exploring Operation: 28+85=113, Resulting Numbers: [113]
113,92 unequal: No Solution
Exploring Operation: 85-28=57, Resulting Numbers: [57]
57,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 92:[28, 107], Operations: ['41-13=28', '11+96=107']
Exploring Operation: 28*107=2996, Resulting Numbers: [2996]
2996,92 unequal: No Solution
Exploring Operation: 107-28=79, Resulting Numbers: [79]
79,92 unequal: No Solution
Exploring Operation: 28+107=135, Resulting Numbers: [135]
135,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 92:[11, 68], Operations: ['41-13=28', '96-28=68']
Exploring Operation: 68-11=57, Resulting Numbers: [57]
57,92 unequal: No Solution
Exploring Operation: 11*68=748, Resulting Numbers: [748]
748,92 unequal: No Solution
Exploring Operation: 11+68=79, Resulting Numbers: [79]
79,92 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: 92:[13, 96, 52], Operations: ['41+11=52']
Exploring Operation: 13+96=109, Resulting Numbers: [52, 109]
Generated Node #0,3,0: 92:[52, 109] Operation: 13+96=109
Exploring Operation: 52-13=39, Resulting Numbers: [96, 39]
Generated Node #0,3,1: 92:[96, 39] Operation: 52-13=39
Exploring Operation: 96-52=44, Resulting Numbers: [13, 44]
Generated Node #0,3,2: 92:[13, 44] Operation: 96-52=44
Exploring Operation: 52/13=4, Resulting Numbers: [96, 4]
Generated Node #0,3,3: 92:[96, 4] Operation: 52/13=4
Exploring Operation: 96-13=83, Resulting Numbers: [52, 83]
Generated Node #0,3,4: 92:[52, 83] Operation: 96-13=83
Moving to Node #0,4
Current State: 92:[11, 96, 54], Operations: ['41+13=54']
Exploring Operation: 96-54=42, Resulting Numbers: [11, 42]
Generated Node #0,4,0: 92:[11, 42] Operation: 96-54=42
Exploring Operation: 96-11=85, Resulting Numbers: [54, 85]
Generated Node #0,4,1: 92:[54, 85] Operation: 96-11=85
Exploring Operation: 54-11=43, Resulting Numbers: [96, 43]
Generated Node #0,4,2: 92:[96, 43] Operation: 54-11=43
Exploring Operation: 11+96=107, Resulting Numbers: [54, 107]
Generated Node #0,4,3: 92:[54, 107] Operation: 11+96=107
Exploring Operation: 11+54=65, Resulting Numbers: [96, 65]
Generated Node #0,4,4: 92:[96, 65] Operation: 11+54=65
Moving to Node #0,3,3
Current State: 92:[96, 4], Operations: ['41+11=52', '52/13=4']
Exploring Operation: 96/4=24, Resulting Numbers: [24]
24,92 unequal: No Solution
Exploring Operation: 96-4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[41, 13, 11, 96], Operations: []
Exploring Operation: 41+11=52, Resulting Numbers: [13, 96, 52]
Generated Node #0,3: 92:[13, 96, 52] Operation: 41+11=52
Moving to Node #0,3
Current State: 92:[13, 96, 52], Operations: ['41+11=52']
Exploring Operation: 52/13=4, Resulting Numbers: [96, 4]
Generated Node #0,3,3: 92:[96, 4] Operation: 52/13=4
Moving to Node #0,3,3
Current State: 92:[96, 4], Operations: ['41+11=52', '52/13=4']
Exploring Operation: 96-4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 0.955729 | hs_5 | sum_heuristic |
[
59,
98,
34,
69
] | 74 | [
"98-59=39",
"69-34=35",
"39+35=74"
] | Current State: 74:[59, 98, 34, 69], Operations: []
Exploring Operation: 98-59=39, Resulting Numbers: [34, 69, 39]
Generated Node #2: [34, 69, 39] from Operation: 98-59=39
Current State: 74:[34, 69, 39], Operations: ['98-59=39']
Exploring Operation: 69-34=35, Resulting Numbers: [39, 35]
Generated Node #3: [39, 35] from Operation: 69-34=35
Current State: 74:[39, 35], Operations: ['98-59=39', '69-34=35']
Exploring Operation: 39+35=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[59, 98, 34, 69], Operations: []
Exploring Operation: 98-34=64, Resulting Numbers: [59, 69, 64]
Generated Node #0,0: 74:[59, 69, 64] Operation: 98-34=64
Exploring Operation: 98-59=39, Resulting Numbers: [34, 69, 39]
Generated Node #0,1: 74:[34, 69, 39] Operation: 98-59=39
Exploring Operation: 69-59=10, Resulting Numbers: [98, 34, 10]
Generated Node #0,2: 74:[98, 34, 10] Operation: 69-59=10
Exploring Operation: 59-34=25, Resulting Numbers: [98, 69, 25]
Generated Node #0,3: 74:[98, 69, 25] Operation: 59-34=25
Exploring Operation: 98-69=29, Resulting Numbers: [59, 34, 29]
Generated Node #0,4: 74:[59, 34, 29] Operation: 98-69=29
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[34, 69, 39], Operations: ['98-59=39']
Exploring Operation: 34+39=73, Resulting Numbers: [69, 73]
Generated Node #0,1,0: 74:[69, 73] Operation: 34+39=73
Exploring Operation: 39-34=5, Resulting Numbers: [69, 5]
Generated Node #0,1,1: 74:[69, 5] Operation: 39-34=5
Exploring Operation: 69-34=35, Resulting Numbers: [39, 35]
Generated Node #0,1,2: 74:[39, 35] Operation: 69-34=35
Exploring Operation: 69-39=30, Resulting Numbers: [34, 30]
Generated Node #0,1,3: 74:[34, 30] Operation: 69-39=30
Exploring Operation: 34+69=103, Resulting Numbers: [39, 103]
Generated Node #0,1,4: 74:[39, 103] Operation: 34+69=103
Moving to Node #0,1,2
Current State: 74:[39, 35], Operations: ['98-59=39', '69-34=35']
Exploring Operation: 39*35=1365, Resulting Numbers: [1365]
1365,74 unequal: No Solution
Exploring Operation: 39-35=4, Resulting Numbers: [4]
4,74 unequal: No Solution
Exploring Operation: 39+35=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[59, 98, 34, 69], Operations: []
Exploring Operation: 98-59=39, Resulting Numbers: [34, 69, 39]
Generated Node #0,1: 74:[34, 69, 39] Operation: 98-59=39
Moving to Node #0,1
Current State: 74:[34, 69, 39], Operations: ['98-59=39']
Exploring Operation: 69-34=35, Resulting Numbers: [39, 35]
Generated Node #0,1,2: 74:[39, 35] Operation: 69-34=35
Moving to Node #0,1,2
Current State: 74:[39, 35], Operations: ['98-59=39', '69-34=35']
Exploring Operation: 39+35=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
22,
77,
71,
15
] | 43 | [
"22+77=99",
"71-15=56",
"99-56=43"
] | Current State: 43:[22, 77, 71, 15], Operations: []
Exploring Operation: 22+77=99, Resulting Numbers: [71, 15, 99]
Generated Node #2: [71, 15, 99] from Operation: 22+77=99
Current State: 43:[71, 15, 99], Operations: ['22+77=99']
Exploring Operation: 71-15=56, Resulting Numbers: [99, 56]
Generated Node #3: [99, 56] from Operation: 71-15=56
Current State: 43:[99, 56], Operations: ['22+77=99', '71-15=56']
Exploring Operation: 99-56=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[22, 77, 71, 15], Operations: []
Exploring Operation: 77-22=55, Resulting Numbers: [71, 15, 55]
Generated Node #0,0: 43:[71, 15, 55] Operation: 77-22=55
Exploring Operation: 22+15=37, Resulting Numbers: [77, 71, 37]
Generated Node #0,1: 43:[77, 71, 37] Operation: 22+15=37
Exploring Operation: 71-22=49, Resulting Numbers: [77, 15, 49]
Generated Node #0,2: 43:[77, 15, 49] Operation: 71-22=49
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[71, 15, 55], Operations: ['77-22=55']
Exploring Operation: 55-15=40, Resulting Numbers: [71, 40]
Generated Node #0,0,0: 43:[71, 40] Operation: 55-15=40
Exploring Operation: 71-15=56, Resulting Numbers: [55, 56]
Generated Node #0,0,1: 43:[55, 56] Operation: 71-15=56
Exploring Operation: 71+15=86, Resulting Numbers: [55, 86]
Generated Node #0,0,2: 43:[55, 86] Operation: 71+15=86
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 43:[55, 56], Operations: ['77-22=55', '71-15=56']
Exploring Operation: 55*56=3080, Resulting Numbers: [3080]
3080,43 unequal: No Solution
Exploring Operation: 55+56=111, Resulting Numbers: [111]
111,43 unequal: No Solution
Exploring Operation: 56-55=1, Resulting Numbers: [1]
1,43 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 #0,0,0
Current State: 43:[71, 40], Operations: ['77-22=55', '55-15=40']
Exploring Operation: 71+40=111, Resulting Numbers: [111]
111,43 unequal: No Solution
Exploring Operation: 71-40=31, Resulting Numbers: [31]
31,43 unequal: No Solution
Exploring Operation: 71*40=2840, Resulting Numbers: [2840]
2840,43 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 #0,0,2
Current State: 43:[55, 86], Operations: ['77-22=55', '71+15=86']
Exploring Operation: 86-55=31, Resulting Numbers: [31]
31,43 unequal: No Solution
Exploring Operation: 55+86=141, Resulting Numbers: [141]
141,43 unequal: No Solution
Exploring Operation: 55*86=4730, Resulting Numbers: [4730]
4730,43 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: 43:[77, 71, 37], Operations: ['22+15=37']
Exploring Operation: 71-37=34, Resulting Numbers: [77, 34]
Generated Node #0,1,0: 43:[77, 34] Operation: 71-37=34
Exploring Operation: 77-71=6, Resulting Numbers: [37, 6]
Generated Node #0,1,1: 43:[37, 6] Operation: 77-71=6
Exploring Operation: 77-37=40, Resulting Numbers: [71, 40]
Generated Node #0,1,2: 43:[71, 40] Operation: 77-37=40
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 43:[71, 40], Operations: ['22+15=37', '77-37=40']
Exploring Operation: 71*40=2840, Resulting Numbers: [2840]
2840,43 unequal: No Solution
Exploring Operation: 71+40=111, Resulting Numbers: [111]
111,43 unequal: No Solution
Exploring Operation: 71-40=31, Resulting Numbers: [31]
31,43 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 #0,1,0
Current State: 43:[77, 34], Operations: ['22+15=37', '71-37=34']
Exploring Operation: 77+34=111, Resulting Numbers: [111]
111,43 unequal: No Solution
Exploring Operation: 77-34=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[22, 77, 71, 15], Operations: []
Exploring Operation: 22+15=37, Resulting Numbers: [77, 71, 37]
Generated Node #0,1: 43:[77, 71, 37] Operation: 22+15=37
Moving to Node #0,1
Current State: 43:[77, 71, 37], Operations: ['22+15=37']
Exploring Operation: 71-37=34, Resulting Numbers: [77, 34]
Generated Node #0,1,0: 43:[77, 34] Operation: 71-37=34
Moving to Node #0,1,0
Current State: 43:[77, 34], Operations: ['22+15=37', '71-37=34']
Exploring Operation: 77-34=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.976563 | hs_3 | mult_heuristic |
[
64,
10,
23,
45
] | 14 | [
"64-10=54",
"23+45=68",
"68-54=14"
] | Current State: 14:[64, 10, 23, 45], Operations: []
Exploring Operation: 64-10=54, Resulting Numbers: [23, 45, 54]
Generated Node #2: [23, 45, 54] from Operation: 64-10=54
Current State: 14:[23, 45, 54], Operations: ['64-10=54']
Exploring Operation: 23+45=68, Resulting Numbers: [54, 68]
Generated Node #3: [54, 68] from Operation: 23+45=68
Current State: 14:[54, 68], Operations: ['64-10=54', '23+45=68']
Exploring Operation: 68-54=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[64, 10, 23, 45], Operations: []
Exploring Operation: 45-10=35, Resulting Numbers: [64, 23, 35]
Generated Node #0,0: 14:[64, 23, 35] Operation: 45-10=35
Exploring Operation: 64-23=41, Resulting Numbers: [10, 45, 41]
Generated Node #0,1: 14:[10, 45, 41] Operation: 64-23=41
Exploring Operation: 64-10=54, Resulting Numbers: [23, 45, 54]
Generated Node #0,2: 14:[23, 45, 54] Operation: 64-10=54
Exploring Operation: 45-23=22, Resulting Numbers: [64, 10, 22]
Generated Node #0,3: 14:[64, 10, 22] Operation: 45-23=22
Exploring Operation: 64-45=19, Resulting Numbers: [10, 23, 19]
Generated Node #0,4: 14:[10, 23, 19] Operation: 64-45=19
Start Sub Search at level 1: Moving to Node #0,4
Current State: 14:[10, 23, 19], Operations: ['64-45=19']
Exploring Operation: 10+23=33, Resulting Numbers: [19, 33]
Generated Node #0,4,0: 14:[19, 33] Operation: 10+23=33
Exploring Operation: 19-10=9, Resulting Numbers: [23, 9]
Generated Node #0,4,1: 14:[23, 9] Operation: 19-10=9
Exploring Operation: 10+19=29, Resulting Numbers: [23, 29]
Generated Node #0,4,2: 14:[23, 29] Operation: 10+19=29
Exploring Operation: 23-10=13, Resulting Numbers: [19, 13]
Generated Node #0,4,3: 14:[19, 13] Operation: 23-10=13
Exploring Operation: 23-19=4, Resulting Numbers: [10, 4]
Generated Node #0,4,4: 14:[10, 4] Operation: 23-19=4
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 14:[10, 4], Operations: ['64-45=19', '23-19=4']
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,14 unequal: No Solution
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[64, 10, 23, 45], Operations: []
Exploring Operation: 64-45=19, Resulting Numbers: [10, 23, 19]
Generated Node #0,4: 14:[10, 23, 19] Operation: 64-45=19
Moving to Node #0,4
Current State: 14:[10, 23, 19], Operations: ['64-45=19']
Exploring Operation: 23-19=4, Resulting Numbers: [10, 4]
Generated Node #0,4,4: 14:[10, 4] Operation: 23-19=4
Moving to Node #0,4,4
Current State: 14:[10, 4], Operations: ['64-45=19', '23-19=4']
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
78,
97,
35,
48
] | 92 | [
"78+97=175",
"35+48=83",
"175-83=92"
] | Current State: 92:[78, 97, 35, 48], Operations: []
Exploring Operation: 78+97=175, Resulting Numbers: [35, 48, 175]
Generated Node #2: [35, 48, 175] from Operation: 78+97=175
Current State: 92:[35, 48, 175], Operations: ['78+97=175']
Exploring Operation: 35+48=83, Resulting Numbers: [175, 83]
Generated Node #3: [175, 83] from Operation: 35+48=83
Current State: 92:[175, 83], Operations: ['78+97=175', '35+48=83']
Exploring Operation: 175-83=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[78, 97, 35, 48], Operations: []
Exploring Operation: 78-35=43, Resulting Numbers: [97, 48, 43]
Generated Node #0,0: 92:[97, 48, 43] Operation: 78-35=43
Exploring Operation: 78-48=30, Resulting Numbers: [97, 35, 30]
Generated Node #0,1: 92:[97, 35, 30] Operation: 78-48=30
Exploring Operation: 78+35=113, Resulting Numbers: [97, 48, 113]
Generated Node #0,2: 92:[97, 48, 113] Operation: 78+35=113
Exploring Operation: 97-48=49, Resulting Numbers: [78, 35, 49]
Generated Node #0,3: 92:[78, 35, 49] Operation: 97-48=49
Exploring Operation: 97-78=19, Resulting Numbers: [35, 48, 19]
Generated Node #0,4: 92:[35, 48, 19] Operation: 97-78=19
Moving to Node #0,0
Current State: 92:[97, 48, 43], Operations: ['78-35=43']
Exploring Operation: 97+43=140, Resulting Numbers: [48, 140]
Generated Node #0,0,0: 92:[48, 140] Operation: 97+43=140
Exploring Operation: 97-48=49, Resulting Numbers: [43, 49]
Generated Node #0,0,1: 92:[43, 49] Operation: 97-48=49
Exploring Operation: 48-43=5, Resulting Numbers: [97, 5]
Generated Node #0,0,2: 92:[97, 5] Operation: 48-43=5
Exploring Operation: 97-43=54, Resulting Numbers: [48, 54]
Generated Node #0,0,3: 92:[48, 54] Operation: 97-43=54
Exploring Operation: 48+43=91, Resulting Numbers: [97, 91]
Generated Node #0,0,4: 92:[97, 91] Operation: 48+43=91
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 92:[43, 49], Operations: ['78-35=43', '97-48=49']
Exploring Operation: 43*49=2107, Resulting Numbers: [2107]
2107,92 unequal: No Solution
Exploring Operation: 43+49=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[78, 97, 35, 48], Operations: []
Exploring Operation: 78-35=43, Resulting Numbers: [97, 48, 43]
Generated Node #0,0: 92:[97, 48, 43] Operation: 78-35=43
Moving to Node #0,0
Current State: 92:[97, 48, 43], Operations: ['78-35=43']
Exploring Operation: 97-48=49, Resulting Numbers: [43, 49]
Generated Node #0,0,1: 92:[43, 49] Operation: 97-48=49
Moving to Node #0,0,1
Current State: 92:[43, 49], Operations: ['78-35=43', '97-48=49']
Exploring Operation: 43+49=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
47,
66,
74,
44
] | 83 | [
"47+66=113",
"74-44=30",
"113-30=83"
] | Current State: 83:[47, 66, 74, 44], Operations: []
Exploring Operation: 47+66=113, Resulting Numbers: [74, 44, 113]
Generated Node #2: [74, 44, 113] from Operation: 47+66=113
Current State: 83:[74, 44, 113], Operations: ['47+66=113']
Exploring Operation: 74-44=30, Resulting Numbers: [113, 30]
Generated Node #3: [113, 30] from Operation: 74-44=30
Current State: 83:[113, 30], Operations: ['47+66=113', '74-44=30']
Exploring Operation: 113-30=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[47, 66, 74, 44], Operations: []
Exploring Operation: 47+66=113, Resulting Numbers: [74, 44, 113]
Generated Node #0,0: 83:[74, 44, 113] Operation: 47+66=113
Exploring Operation: 47+74=121, Resulting Numbers: [66, 44, 121]
Generated Node #0,1: 83:[66, 44, 121] Operation: 47+74=121
Exploring Operation: 74+44=118, Resulting Numbers: [47, 66, 118]
Generated Node #0,2: 83:[47, 66, 118] Operation: 74+44=118
Exploring Operation: 47+44=91, Resulting Numbers: [66, 74, 91]
Generated Node #0,3: 83:[66, 74, 91] Operation: 47+44=91
Exploring Operation: 66+44=110, Resulting Numbers: [47, 74, 110]
Generated Node #0,4: 83:[47, 74, 110] Operation: 66+44=110
Start Sub Search at level 1: Moving to Node #0,3
Current State: 83:[66, 74, 91], Operations: ['47+44=91']
Exploring Operation: 74-66=8, Resulting Numbers: [91, 8]
Generated Node #0,3,0: 83:[91, 8] Operation: 74-66=8
Exploring Operation: 66+91=157, Resulting Numbers: [74, 157]
Generated Node #0,3,1: 83:[74, 157] Operation: 66+91=157
Exploring Operation: 91-74=17, Resulting Numbers: [66, 17]
Generated Node #0,3,2: 83:[66, 17] Operation: 91-74=17
Exploring Operation: 91-66=25, Resulting Numbers: [74, 25]
Generated Node #0,3,3: 83:[74, 25] Operation: 91-66=25
Exploring Operation: 66+74=140, Resulting Numbers: [91, 140]
Generated Node #0,3,4: 83:[91, 140] Operation: 66+74=140
Moving to Node #0,3,4
Current State: 83:[91, 140], Operations: ['47+44=91', '66+74=140']
Exploring Operation: 91+140=231, Resulting Numbers: [231]
231,83 unequal: No Solution
Exploring Operation: 140-91=49, Resulting Numbers: [49]
49,83 unequal: No Solution
Exploring Operation: 91*140=12740, Resulting Numbers: [12740]
12740,83 unequal: No Solution
Moving to Node #0,3,3
Current State: 83:[74, 25], Operations: ['47+44=91', '91-66=25']
Exploring Operation: 74*25=1850, Resulting Numbers: [1850]
1850,83 unequal: No Solution
Exploring Operation: 74-25=49, Resulting Numbers: [49]
49,83 unequal: No Solution
Exploring Operation: 74+25=99, Resulting Numbers: [99]
99,83 unequal: No Solution
Moving to Node #0,3,0
Current State: 83:[91, 8], Operations: ['47+44=91', '74-66=8']
Exploring Operation: 91-8=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[47, 66, 74, 44], Operations: []
Exploring Operation: 47+44=91, Resulting Numbers: [66, 74, 91]
Generated Node #0,3: 83:[66, 74, 91] Operation: 47+44=91
Moving to Node #0,3
Current State: 83:[66, 74, 91], Operations: ['47+44=91']
Exploring Operation: 74-66=8, Resulting Numbers: [91, 8]
Generated Node #0,3,0: 83:[91, 8] Operation: 74-66=8
Moving to Node #0,3,0
Current State: 83:[91, 8], Operations: ['47+44=91', '74-66=8']
Exploring Operation: 91-8=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | mult_heuristic |
[
39,
36,
66,
60
] | 51 | [
"39+36=75",
"66+60=126",
"126-75=51"
] | Current State: 51:[39, 36, 66, 60], Operations: []
Exploring Operation: 39+36=75, Resulting Numbers: [66, 60, 75]
Generated Node #2: [66, 60, 75] from Operation: 39+36=75
Current State: 51:[66, 60, 75], Operations: ['39+36=75']
Exploring Operation: 66+60=126, Resulting Numbers: [75, 126]
Generated Node #3: [75, 126] from Operation: 66+60=126
Current State: 51:[75, 126], Operations: ['39+36=75', '66+60=126']
Exploring Operation: 126-75=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[39, 36, 66, 60], Operations: []
Exploring Operation: 39-36=3, Resulting Numbers: [66, 60, 3]
Generated Node #0,0: 51:[66, 60, 3] Operation: 39-36=3
Moving to Node #0,0
Current State: 51:[66, 60, 3], Operations: ['39-36=3']
Exploring Operation: 66-60=6, Resulting Numbers: [3, 6]
Generated Node #0,0,0: 51:[3, 6] Operation: 66-60=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 51:[3, 6], Operations: ['39-36=3', '66-60=6']
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
8,
98,
5,
50
] | 11 | [
"98-50=48",
"48/8=6",
"5+6=11"
] | Current State: 11:[8, 98, 5, 50], Operations: []
Exploring Operation: 98-50=48, Resulting Numbers: [8, 5, 48]
Generated Node #2: [8, 5, 48] from Operation: 98-50=48
Current State: 11:[8, 5, 48], Operations: ['98-50=48']
Exploring Operation: 48/8=6, Resulting Numbers: [5, 6]
Generated Node #3: [5, 6] from Operation: 48/8=6
Current State: 11:[5, 6], Operations: ['98-50=48', '48/8=6']
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[8, 98, 5, 50], Operations: []
Exploring Operation: 98-50=48, Resulting Numbers: [8, 5, 48]
Generated Node #0,0: 11:[8, 5, 48] Operation: 98-50=48
Exploring Operation: 50-8=42, Resulting Numbers: [98, 5, 42]
Generated Node #0,1: 11:[98, 5, 42] Operation: 50-8=42
Exploring Operation: 98-8=90, Resulting Numbers: [5, 50, 90]
Generated Node #0,2: 11:[5, 50, 90] Operation: 98-8=90
Exploring Operation: 50/5=10, Resulting Numbers: [8, 98, 10]
Generated Node #0,3: 11:[8, 98, 10] Operation: 50/5=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[8, 5, 48], Operations: ['98-50=48']
Exploring Operation: 48-5=43, Resulting Numbers: [8, 43]
Generated Node #0,0,0: 11:[8, 43] Operation: 48-5=43
Exploring Operation: 48-8=40, Resulting Numbers: [5, 40]
Generated Node #0,0,1: 11:[5, 40] Operation: 48-8=40
Exploring Operation: 8+5=13, Resulting Numbers: [48, 13]
Generated Node #0,0,2: 11:[48, 13] Operation: 8+5=13
Exploring Operation: 48/8=6, Resulting Numbers: [5, 6]
Generated Node #0,0,3: 11:[5, 6] Operation: 48/8=6
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 11:[5, 6], Operations: ['98-50=48', '48/8=6']
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,11 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,11 unequal: No Solution
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[8, 98, 5, 50], Operations: []
Exploring Operation: 98-50=48, Resulting Numbers: [8, 5, 48]
Generated Node #0,0: 11:[8, 5, 48] Operation: 98-50=48
Moving to Node #0,0
Current State: 11:[8, 5, 48], Operations: ['98-50=48']
Exploring Operation: 48/8=6, Resulting Numbers: [5, 6]
Generated Node #0,0,3: 11:[5, 6] Operation: 48/8=6
Moving to Node #0,0,3
Current State: 11:[5, 6], Operations: ['98-50=48', '48/8=6']
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
36,
48,
83,
20
] | 12 | [
"48*20=960",
"36+960=996",
"996/83=12"
] | Current State: 12:[36, 48, 83, 20], Operations: []
Exploring Operation: 48*20=960, Resulting Numbers: [36, 83, 960]
Generated Node #2: [36, 83, 960] from Operation: 48*20=960
Current State: 12:[36, 83, 960], Operations: ['48*20=960']
Exploring Operation: 36+960=996, Resulting Numbers: [83, 996]
Generated Node #3: [83, 996] from Operation: 36+960=996
Current State: 12:[83, 996], Operations: ['48*20=960', '36+960=996']
Exploring Operation: 996/83=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[36, 48, 83, 20], Operations: []
Exploring Operation: 48-36=12, Resulting Numbers: [83, 20, 12]
Generated Node #0,0: 12:[83, 20, 12] Operation: 48-36=12
Exploring Operation: 83-48=35, Resulting Numbers: [36, 20, 35]
Generated Node #0,1: 12:[36, 20, 35] Operation: 83-48=35
Start Sub Search at level 1: Moving to Node #0,1
Current State: 12:[36, 20, 35], Operations: ['83-48=35']
Exploring Operation: 36-35=1, Resulting Numbers: [20, 1]
Generated Node #0,1,0: 12:[20, 1] Operation: 36-35=1
Exploring Operation: 36-20=16, Resulting Numbers: [35, 16]
Generated Node #0,1,1: 12:[35, 16] Operation: 36-20=16
Moving to Node #0,1,0
Current State: 12:[20, 1], Operations: ['83-48=35', '36-35=1']
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,12 unequal: No Solution
Exploring Operation: 20*1=20, Resulting Numbers: [20]
20,12 unequal: No Solution
Moving to Node #0,1,1
Current State: 12:[35, 16], Operations: ['83-48=35', '36-20=16']
Exploring Operation: 35+16=51, Resulting Numbers: [51]
51,12 unequal: No Solution
Exploring Operation: 35-16=19, Resulting Numbers: [19]
19,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[83, 20, 12], Operations: ['48-36=12']
Exploring Operation: 83-20=63, Resulting Numbers: [12, 63]
Generated Node #0,0,0: 12:[12, 63] Operation: 83-20=63
Exploring Operation: 83-12=71, Resulting Numbers: [20, 71]
Generated Node #0,0,1: 12:[20, 71] Operation: 83-12=71
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 12:[12, 63], Operations: ['48-36=12', '83-20=63']
Exploring Operation: 63-12=51, Resulting Numbers: [51]
51,12 unequal: No Solution
Exploring Operation: 12+63=75, Resulting Numbers: [75]
75,12 unequal: No Solution
No 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: 12:[20, 71], Operations: ['48-36=12', '83-12=71']
Exploring Operation: 20+71=91, Resulting Numbers: [91]
91,12 unequal: No Solution
Exploring Operation: 71-20=51, Resulting Numbers: [51]
51,12 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 |
[
19,
48,
43,
18
] | 77 | [
"48-43=5",
"19*5=95",
"95-18=77"
] | Current State: 77:[19, 48, 43, 18], Operations: []
Exploring Operation: 48-43=5, Resulting Numbers: [19, 18, 5]
Generated Node #2: [19, 18, 5] from Operation: 48-43=5
Current State: 77:[19, 18, 5], Operations: ['48-43=5']
Exploring Operation: 19*5=95, Resulting Numbers: [18, 95]
Generated Node #3: [18, 95] from Operation: 19*5=95
Current State: 77:[18, 95], Operations: ['48-43=5', '19*5=95']
Exploring Operation: 95-18=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[19, 48, 43, 18], Operations: []
Exploring Operation: 48+43=91, Resulting Numbers: [19, 18, 91]
Generated Node #0,0: 77:[19, 18, 91] Operation: 48+43=91
Exploring Operation: 19+48=67, Resulting Numbers: [43, 18, 67]
Generated Node #0,1: 77:[43, 18, 67] Operation: 19+48=67
Exploring Operation: 48-43=5, Resulting Numbers: [19, 18, 5]
Generated Node #0,2: 77:[19, 18, 5] Operation: 48-43=5
Exploring Operation: 43-19=24, Resulting Numbers: [48, 18, 24]
Generated Node #0,3: 77:[48, 18, 24] Operation: 43-19=24
Moving to Node #0,2
Current State: 77:[19, 18, 5], Operations: ['48-43=5']
Exploring Operation: 19-18=1, Resulting Numbers: [5, 1]
Generated Node #0,2,0: 77:[5, 1] Operation: 19-18=1
Exploring Operation: 19-5=14, Resulting Numbers: [18, 14]
Generated Node #0,2,1: 77:[18, 14] Operation: 19-5=14
Exploring Operation: 19+5=24, Resulting Numbers: [18, 24]
Generated Node #0,2,2: 77:[18, 24] Operation: 19+5=24
Exploring Operation: 18-5=13, Resulting Numbers: [19, 13]
Generated Node #0,2,3: 77:[19, 13] Operation: 18-5=13
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 77:[5, 1], Operations: ['48-43=5', '19-18=1']
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,77 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,77 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 77:[18, 14], Operations: ['48-43=5', '19-5=14']
Exploring Operation: 18+14=32, Resulting Numbers: [32]
32,77 unequal: No Solution
Exploring Operation: 18-14=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 18*14=252, Resulting Numbers: [252]
252,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 77:[19, 13], Operations: ['48-43=5', '18-5=13']
Exploring Operation: 19*13=247, Resulting Numbers: [247]
247,77 unequal: No Solution
Exploring Operation: 19+13=32, Resulting Numbers: [32]
32,77 unequal: No Solution
Exploring Operation: 19-13=6, Resulting Numbers: [6]
6,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 77:[18, 24], Operations: ['48-43=5', '19+5=24']
Exploring Operation: 18*24=432, Resulting Numbers: [432]
432,77 unequal: No Solution
Exploring Operation: 18+24=42, Resulting Numbers: [42]
42,77 unequal: No Solution
Exploring Operation: 24-18=6, Resulting Numbers: [6]
6,77 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:[19, 18, 91], Operations: ['48+43=91']
Exploring Operation: 91-19=72, Resulting Numbers: [18, 72]
Generated Node #0,0,0: 77:[18, 72] Operation: 91-19=72
Exploring Operation: 91-18=73, Resulting Numbers: [19, 73]
Generated Node #0,0,1: 77:[19, 73] Operation: 91-18=73
Exploring Operation: 19+18=37, Resulting Numbers: [91, 37]
Generated Node #0,0,2: 77:[91, 37] Operation: 19+18=37
Exploring Operation: 19-18=1, Resulting Numbers: [91, 1]
Generated Node #0,0,3: 77:[91, 1] Operation: 19-18=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 77:[18, 72], Operations: ['48+43=91', '91-19=72']
Exploring Operation: 18+72=90, Resulting Numbers: [90]
90,77 unequal: No Solution
Exploring Operation: 18*72=1296, Resulting Numbers: [1296]
1296,77 unequal: No Solution
Exploring Operation: 72-18=54, Resulting Numbers: [54]
54,77 unequal: No Solution
Exploring Operation: 72/18=4, Resulting Numbers: [4]
4,77 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:[19, 73], Operations: ['48+43=91', '91-18=73']
Exploring Operation: 19*73=1387, Resulting Numbers: [1387]
1387,77 unequal: No Solution
Exploring Operation: 73-19=54, Resulting Numbers: [54]
54,77 unequal: No Solution
Exploring Operation: 19+73=92, Resulting Numbers: [92]
92,77 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 #0,0,3
Current State: 77:[91, 1], Operations: ['48+43=91', '19-18=1']
Exploring Operation: 91*1=91, Resulting Numbers: [91]
91,77 unequal: No Solution
Exploring Operation: 91-1=90, Resulting Numbers: [90]
90,77 unequal: No Solution
Exploring Operation: 91/1=91, Resulting Numbers: [91]
91,77 unequal: No Solution
Exploring Operation: 91+1=92, Resulting Numbers: [92]
92,77 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:[91, 37], Operations: ['48+43=91', '19+18=37']
Exploring Operation: 91-37=54, Resulting Numbers: [54]
54,77 unequal: No Solution
Exploring Operation: 91*37=3367, Resulting Numbers: [3367]
3367,77 unequal: No Solution
Exploring Operation: 91+37=128, Resulting Numbers: [128]
128,77 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:[48, 18, 24], Operations: ['43-19=24']
Exploring Operation: 48-24=24, Resulting Numbers: [18, 24]
Generated Node #0,3,0: 77:[18, 24] Operation: 48-24=24
Exploring Operation: 48+24=72, Resulting Numbers: [18, 72]
Generated Node #0,3,1: 77:[18, 72] Operation: 48+24=72
Exploring Operation: 48+18=66, Resulting Numbers: [24, 66]
Generated Node #0,3,2: 77:[24, 66] Operation: 48+18=66
Exploring Operation: 48/24=2, Resulting Numbers: [18, 2]
Generated Node #0,3,3: 77:[18, 2] Operation: 48/24=2
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 77:[18, 72], Operations: ['43-19=24', '48+24=72']
Exploring Operation: 18+72=90, Resulting Numbers: [90]
90,77 unequal: No Solution
Exploring Operation: 72-18=54, Resulting Numbers: [54]
54,77 unequal: No Solution
Exploring Operation: 72/18=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 18*72=1296, Resulting Numbers: [1296]
1296,77 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 #0,3,3
Current State: 77:[18, 2], Operations: ['43-19=24', '48/24=2']
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,77 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,77 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,77 unequal: No Solution
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,77 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 #0,3,0
Current State: 77:[18, 24], Operations: ['43-19=24', '48-24=24']
Exploring Operation: 18+24=42, Resulting Numbers: [42]
42,77 unequal: No Solution
Exploring Operation: 24-18=6, Resulting Numbers: [6]
6,77 unequal: No Solution
Exploring Operation: 18*24=432, Resulting Numbers: [432]
432,77 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 #0,3,2
Current State: 77:[24, 66], Operations: ['43-19=24', '48+18=66']
Exploring Operation: 66-24=42, Resulting Numbers: [42]
42,77 unequal: No Solution
Exploring Operation: 24*66=1584, Resulting Numbers: [1584]
1584,77 unequal: No Solution
Exploring Operation: 24+66=90, Resulting Numbers: [90]
90,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 77:[43, 18, 67], Operations: ['19+48=67']
Exploring Operation: 43-18=25, Resulting Numbers: [67, 25]
Generated Node #0,1,0: 77:[67, 25] Operation: 43-18=25
Exploring Operation: 43+18=61, Resulting Numbers: [67, 61]
Generated Node #0,1,1: 77:[67, 61] Operation: 43+18=61
Exploring Operation: 67-43=24, Resulting Numbers: [18, 24]
Generated Node #0,1,2: 77:[18, 24] Operation: 67-43=24
Exploring Operation: 43+67=110, Resulting Numbers: [18, 110]
Generated Node #0,1,3: 77:[18, 110] Operation: 43+67=110
Moving to Node #0,1,2
Current State: 77:[18, 24], Operations: ['19+48=67', '67-43=24']
Exploring Operation: 18*24=432, Resulting Numbers: [432]
432,77 unequal: No Solution
Exploring Operation: 24-18=6, Resulting Numbers: [6]
6,77 unequal: No Solution
Exploring Operation: 18+24=42, Resulting Numbers: [42]
42,77 unequal: No Solution
Moving to Node #0,1,0
Current State: 77:[67, 25], Operations: ['19+48=67', '43-18=25']
Exploring Operation: 67-25=42, Resulting Numbers: [42]
42,77 unequal: No Solution
Exploring Operation: 67+25=92, Resulting Numbers: [92]
92,77 unequal: No Solution
Exploring Operation: 67*25=1675, Resulting Numbers: [1675]
1675,77 unequal: No Solution
Moving to Node #0,1,1
Current State: 77:[67, 61], Operations: ['19+48=67', '43+18=61']
Exploring Operation: 67*61=4087, Resulting Numbers: [4087]
4087,77 unequal: No Solution
Exploring Operation: 67-61=6, Resulting Numbers: [6]
6,77 unequal: No Solution
Exploring Operation: 67+61=128, Resulting Numbers: [128]
128,77 unequal: No Solution
Moving to Node #0,1,3
Current State: 77:[18, 110], Operations: ['19+48=67', '43+67=110']
Exploring Operation: 110-18=92, Resulting Numbers: [92]
92,77 unequal: No Solution
Exploring Operation: 18+110=128, Resulting Numbers: [128]
128,77 unequal: No Solution
Exploring Operation: 18*110=1980, Resulting Numbers: [1980]
1980,77 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
93,
76,
6,
28
] | 39 | [
"93-76=17",
"28-6=22",
"17+22=39"
] | Current State: 39:[93, 76, 6, 28], Operations: []
Exploring Operation: 93-76=17, Resulting Numbers: [6, 28, 17]
Generated Node #2: [6, 28, 17] from Operation: 93-76=17
Current State: 39:[6, 28, 17], Operations: ['93-76=17']
Exploring Operation: 28-6=22, Resulting Numbers: [17, 22]
Generated Node #3: [17, 22] from Operation: 28-6=22
Current State: 39:[17, 22], Operations: ['93-76=17', '28-6=22']
Exploring Operation: 17+22=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[93, 76, 6, 28], Operations: []
Exploring Operation: 93-76=17, Resulting Numbers: [6, 28, 17]
Generated Node #0,0: 39:[6, 28, 17] Operation: 93-76=17
Exploring Operation: 93-28=65, Resulting Numbers: [76, 6, 65]
Generated Node #0,1: 39:[76, 6, 65] Operation: 93-28=65
Moving to Node #0,0
Current State: 39:[6, 28, 17], Operations: ['93-76=17']
Exploring Operation: 6+28=34, Resulting Numbers: [17, 34]
Generated Node #0,0,0: 39:[17, 34] Operation: 6+28=34
Exploring Operation: 28-17=11, Resulting Numbers: [6, 11]
Generated Node #0,0,1: 39:[6, 11] Operation: 28-17=11
Moving to Node #0,1
Current State: 39:[76, 6, 65], Operations: ['93-28=65']
Exploring Operation: 76-65=11, Resulting Numbers: [6, 11]
Generated Node #0,1,0: 39:[6, 11] Operation: 76-65=11
Exploring Operation: 76-6=70, Resulting Numbers: [65, 70]
Generated Node #0,1,1: 39:[65, 70] Operation: 76-6=70
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 39:[6, 11], Operations: ['93-28=65', '76-65=11']
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Exploring Operation: 6+11=17, Resulting Numbers: [17]
17,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 39:[65, 70], Operations: ['93-28=65', '76-6=70']
Exploring Operation: 70-65=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Exploring Operation: 65+70=135, Resulting Numbers: [135]
135,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 39:[6, 11], Operations: ['93-76=17', '28-17=11']
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Exploring Operation: 6+11=17, Resulting Numbers: [17]
17,39 unequal: No Solution
Moving to Node #0,0,0
Current State: 39:[17, 34], Operations: ['93-76=17', '6+28=34']
Exploring Operation: 34/17=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 34-17=17, Resulting Numbers: [17]
17,39 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
36,
84,
34,
2
] | 21 | [
"36-34=2",
"84/2=42",
"42/2=21"
] | Current State: 21:[36, 84, 34, 2], Operations: []
Exploring Operation: 36-34=2, Resulting Numbers: [84, 2, 2]
Generated Node #2: [84, 2, 2] from Operation: 36-34=2
Current State: 21:[84, 2, 2], Operations: ['36-34=2']
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,21 equal: Goal Reached
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[36, 84, 34, 2], Operations: []
Exploring Operation: 84/2=42, Resulting Numbers: [36, 34, 42]
Generated Node #0,0: 21:[36, 34, 42] Operation: 84/2=42
Exploring Operation: 36-34=2, Resulting Numbers: [84, 2, 2]
Generated Node #0,1: 21:[84, 2, 2] Operation: 36-34=2
Exploring Operation: 84-34=50, Resulting Numbers: [36, 2, 50]
Generated Node #0,2: 21:[36, 2, 50] Operation: 84-34=50
Exploring Operation: 84-36=48, Resulting Numbers: [34, 2, 48]
Generated Node #0,3: 21:[34, 2, 48] Operation: 84-36=48
Moving to Node #0,3
Current State: 21:[34, 2, 48], Operations: ['84-36=48']
Exploring Operation: 48-34=14, Resulting Numbers: [2, 14]
Generated Node #0,3,0: 21:[2, 14] Operation: 48-34=14
Exploring Operation: 34-2=32, Resulting Numbers: [48, 32]
Generated Node #0,3,1: 21:[48, 32] Operation: 34-2=32
Exploring Operation: 34/2=17, Resulting Numbers: [48, 17]
Generated Node #0,3,2: 21:[48, 17] Operation: 34/2=17
Exploring Operation: 48/2=24, Resulting Numbers: [34, 24]
Generated Node #0,3,3: 21:[34, 24] Operation: 48/2=24
Moving to Node #0,2
Current State: 21:[36, 2, 50], Operations: ['84-34=50']
Exploring Operation: 50-36=14, Resulting Numbers: [2, 14]
Generated Node #0,2,0: 21:[2, 14] Operation: 50-36=14
Exploring Operation: 50/2=25, Resulting Numbers: [36, 25]
Generated Node #0,2,1: 21:[36, 25] Operation: 50/2=25
Exploring Operation: 36-2=34, Resulting Numbers: [50, 34]
Generated Node #0,2,2: 21:[50, 34] Operation: 36-2=34
Exploring Operation: 36/2=18, Resulting Numbers: [50, 18]
Generated Node #0,2,3: 21:[50, 18] Operation: 36/2=18
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 21:[2, 14], Operations: ['84-34=50', '50-36=14']
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,21 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,21 unequal: No Solution
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,21 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 21:[36, 25], Operations: ['84-34=50', '50/2=25']
Exploring Operation: 36*25=900, Resulting Numbers: [900]
900,21 unequal: No Solution
Exploring Operation: 36+25=61, Resulting Numbers: [61]
61,21 unequal: No Solution
Exploring Operation: 36-25=11, Resulting Numbers: [11]
11,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 21:[50, 18], Operations: ['84-34=50', '36/2=18']
Exploring Operation: 50-18=32, Resulting Numbers: [32]
32,21 unequal: No Solution
Exploring Operation: 50+18=68, Resulting Numbers: [68]
68,21 unequal: No Solution
Exploring Operation: 50*18=900, Resulting Numbers: [900]
900,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 21:[50, 34], Operations: ['84-34=50', '36-2=34']
Exploring Operation: 50-34=16, Resulting Numbers: [16]
16,21 unequal: No Solution
Exploring Operation: 50*34=1700, Resulting Numbers: [1700]
1700,21 unequal: No Solution
Exploring Operation: 50+34=84, Resulting Numbers: [84]
84,21 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: 21:[36, 34, 42], Operations: ['84/2=42']
Exploring Operation: 36-34=2, Resulting Numbers: [42, 2]
Generated Node #0,0,0: 21:[42, 2] Operation: 36-34=2
Exploring Operation: 42-34=8, Resulting Numbers: [36, 8]
Generated Node #0,0,1: 21:[36, 8] Operation: 42-34=8
Exploring Operation: 36+34=70, Resulting Numbers: [42, 70]
Generated Node #0,0,2: 21:[42, 70] Operation: 36+34=70
Exploring Operation: 42-36=6, Resulting Numbers: [34, 6]
Generated Node #0,0,3: 21:[34, 6] Operation: 42-36=6
Moving to Node #0,1
Current State: 21:[84, 2, 2], Operations: ['36-34=2']
Exploring Operation: 84/2=42, Resulting Numbers: [2, 42]
Generated Node #0,1,0: 21:[2, 42] Operation: 84/2=42
Exploring Operation: 84-2=82, Resulting Numbers: [2, 82]
Generated Node #0,1,1: 21:[2, 82] Operation: 84-2=82
Exploring Operation: 84-2=82, Resulting Numbers: [2, 82]
Generated Node #0,1,2: 21:[2, 82] Operation: 84-2=82
Exploring Operation: 84/2=42, Resulting Numbers: [2, 42]
Generated Node #0,1,3: 21:[2, 42] Operation: 84/2=42
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 21:[2, 42], Operations: ['36-34=2', '84/2=42']
Exploring Operation: 2+42=44, Resulting Numbers: [44]
44,21 unequal: No Solution
Exploring Operation: 2*42=84, Resulting Numbers: [84]
84,21 unequal: No Solution
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,21 unequal: No Solution
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[36, 84, 34, 2], Operations: []
Exploring Operation: 36-34=2, Resulting Numbers: [84, 2, 2]
Generated Node #0,1: 21:[84, 2, 2] Operation: 36-34=2
Moving to Node #0,1
Current State: 21:[84, 2, 2], Operations: ['36-34=2']
Exploring Operation: 84/2=42, Resulting Numbers: [2, 42]
Generated Node #0,1,0: 21:[2, 42] Operation: 84/2=42
Moving to Node #0,1,0
Current State: 21:[2, 42], Operations: ['36-34=2', '84/2=42']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.96441 | hs_4 | mult_heuristic |
[
79,
8,
15,
46
] | 26 | [
"79+8=87",
"15+46=61",
"87-61=26"
] | Current State: 26:[79, 8, 15, 46], Operations: []
Exploring Operation: 79+8=87, Resulting Numbers: [15, 46, 87]
Generated Node #2: [15, 46, 87] from Operation: 79+8=87
Current State: 26:[15, 46, 87], Operations: ['79+8=87']
Exploring Operation: 15+46=61, Resulting Numbers: [87, 61]
Generated Node #3: [87, 61] from Operation: 15+46=61
Current State: 26:[87, 61], Operations: ['79+8=87', '15+46=61']
Exploring Operation: 87-61=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[79, 8, 15, 46], Operations: []
Exploring Operation: 79-46=33, Resulting Numbers: [8, 15, 33]
Generated Node #0,0: 26:[8, 15, 33] Operation: 79-46=33
Exploring Operation: 79-15=64, Resulting Numbers: [8, 46, 64]
Generated Node #0,1: 26:[8, 46, 64] Operation: 79-15=64
Moving to Node #0,0
Current State: 26:[8, 15, 33], Operations: ['79-46=33']
Exploring Operation: 33-8=25, Resulting Numbers: [15, 25]
Generated Node #0,0,0: 26:[15, 25] Operation: 33-8=25
Exploring Operation: 8+15=23, Resulting Numbers: [33, 23]
Generated Node #0,0,1: 26:[33, 23] Operation: 8+15=23
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 26:[15, 25], Operations: ['79-46=33', '33-8=25']
Exploring Operation: 25-15=10, Resulting Numbers: [10]
10,26 unequal: No Solution
Exploring Operation: 15+25=40, Resulting Numbers: [40]
40,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 26:[33, 23], Operations: ['79-46=33', '8+15=23']
Exploring Operation: 33-23=10, Resulting Numbers: [10]
10,26 unequal: No Solution
Exploring Operation: 33+23=56, Resulting Numbers: [56]
56,26 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: 26:[8, 46, 64], Operations: ['79-15=64']
Exploring Operation: 64/8=8, Resulting Numbers: [46, 8]
Generated Node #0,1,0: 26:[46, 8] Operation: 64/8=8
Exploring Operation: 64-46=18, Resulting Numbers: [8, 18]
Generated Node #0,1,1: 26:[8, 18] Operation: 64-46=18
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 26:[8, 18], Operations: ['79-15=64', '64-46=18']
Exploring Operation: 8+18=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[79, 8, 15, 46], Operations: []
Exploring Operation: 79-15=64, Resulting Numbers: [8, 46, 64]
Generated Node #0,1: 26:[8, 46, 64] Operation: 79-15=64
Moving to Node #0,1
Current State: 26:[8, 46, 64], Operations: ['79-15=64']
Exploring Operation: 64-46=18, Resulting Numbers: [8, 18]
Generated Node #0,1,1: 26:[8, 18] Operation: 64-46=18
Moving to Node #0,1,1
Current State: 26:[8, 18], Operations: ['79-15=64', '64-46=18']
Exploring Operation: 8+18=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
54,
73,
82,
87
] | 14 | [
"73-54=19",
"87-82=5",
"19-5=14"
] | Current State: 14:[54, 73, 82, 87], Operations: []
Exploring Operation: 73-54=19, Resulting Numbers: [82, 87, 19]
Generated Node #2: [82, 87, 19] from Operation: 73-54=19
Current State: 14:[82, 87, 19], Operations: ['73-54=19']
Exploring Operation: 87-82=5, Resulting Numbers: [19, 5]
Generated Node #3: [19, 5] from Operation: 87-82=5
Current State: 14:[19, 5], Operations: ['73-54=19', '87-82=5']
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[54, 73, 82, 87], Operations: []
Exploring Operation: 87-82=5, Resulting Numbers: [54, 73, 5]
Generated Node #0,0: 14:[54, 73, 5] Operation: 87-82=5
Moving to Node #0,0
Current State: 14:[54, 73, 5], Operations: ['87-82=5']
Exploring Operation: 73-54=19, Resulting Numbers: [5, 19]
Generated Node #0,0,0: 14:[5, 19] Operation: 73-54=19
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 14:[5, 19], Operations: ['87-82=5', '73-54=19']
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[54, 73, 82, 87], Operations: []
Exploring Operation: 87-82=5, Resulting Numbers: [54, 73, 5]
Generated Node #0,0: 14:[54, 73, 5] Operation: 87-82=5
Moving to Node #0,0
Current State: 14:[54, 73, 5], Operations: ['87-82=5']
Exploring Operation: 73-54=19, Resulting Numbers: [5, 19]
Generated Node #0,0,0: 14:[5, 19] Operation: 73-54=19
Moving to Node #0,0,0
Current State: 14:[5, 19], Operations: ['87-82=5', '73-54=19']
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
60,
98,
68,
20
] | 86 | [
"98-60=38",
"68-20=48",
"38+48=86"
] | Current State: 86:[60, 98, 68, 20], Operations: []
Exploring Operation: 98-60=38, Resulting Numbers: [68, 20, 38]
Generated Node #2: [68, 20, 38] from Operation: 98-60=38
Current State: 86:[68, 20, 38], Operations: ['98-60=38']
Exploring Operation: 68-20=48, Resulting Numbers: [38, 48]
Generated Node #3: [38, 48] from Operation: 68-20=48
Current State: 86:[38, 48], Operations: ['98-60=38', '68-20=48']
Exploring Operation: 38+48=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[60, 98, 68, 20], Operations: []
Exploring Operation: 60-20=40, Resulting Numbers: [98, 68, 40]
Generated Node #0,0: 86:[98, 68, 40] Operation: 60-20=40
Exploring Operation: 68+20=88, Resulting Numbers: [60, 98, 88]
Generated Node #0,1: 86:[60, 98, 88] Operation: 68+20=88
Exploring Operation: 60/20=3, Resulting Numbers: [98, 68, 3]
Generated Node #0,2: 86:[98, 68, 3] Operation: 60/20=3
Exploring Operation: 68-60=8, Resulting Numbers: [98, 20, 8]
Generated Node #0,3: 86:[98, 20, 8] Operation: 68-60=8
Exploring Operation: 68-20=48, Resulting Numbers: [60, 98, 48]
Generated Node #0,4: 86:[60, 98, 48] Operation: 68-20=48
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[60, 98, 88], Operations: ['68+20=88']
Exploring Operation: 98-60=38, Resulting Numbers: [88, 38]
Generated Node #0,1,0: 86:[88, 38] Operation: 98-60=38
Exploring Operation: 88-60=28, Resulting Numbers: [98, 28]
Generated Node #0,1,1: 86:[98, 28] Operation: 88-60=28
Exploring Operation: 60+98=158, Resulting Numbers: [88, 158]
Generated Node #0,1,2: 86:[88, 158] Operation: 60+98=158
Exploring Operation: 98-88=10, Resulting Numbers: [60, 10]
Generated Node #0,1,3: 86:[60, 10] Operation: 98-88=10
Exploring Operation: 60+88=148, Resulting Numbers: [98, 148]
Generated Node #0,1,4: 86:[98, 148] Operation: 60+88=148
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 86:[88, 38], Operations: ['68+20=88', '98-60=38']
Exploring Operation: 88*38=3344, Resulting Numbers: [3344]
3344,86 unequal: No Solution
Exploring Operation: 88-38=50, Resulting Numbers: [50]
50,86 unequal: No Solution
Exploring Operation: 88+38=126, Resulting Numbers: [126]
126,86 unequal: No Solution
No 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: 86:[60, 10], Operations: ['68+20=88', '98-88=10']
Exploring Operation: 60-10=50, Resulting Numbers: [50]
50,86 unequal: No Solution
Exploring Operation: 60+10=70, Resulting Numbers: [70]
70,86 unequal: No Solution
Exploring Operation: 60*10=600, Resulting Numbers: [600]
600,86 unequal: No Solution
Exploring Operation: 60/10=6, Resulting Numbers: [6]
6,86 unequal: No Solution
No 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: 86:[98, 28], Operations: ['68+20=88', '88-60=28']
Exploring Operation: 98*28=2744, Resulting Numbers: [2744]
2744,86 unequal: No Solution
Exploring Operation: 98+28=126, Resulting Numbers: [126]
126,86 unequal: No Solution
Exploring Operation: 98-28=70, Resulting Numbers: [70]
70,86 unequal: No Solution
No 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: 86:[88, 158], Operations: ['68+20=88', '60+98=158']
Exploring Operation: 158-88=70, Resulting Numbers: [70]
70,86 unequal: No Solution
Exploring Operation: 88*158=13904, Resulting Numbers: [13904]
13904,86 unequal: No Solution
Exploring Operation: 88+158=246, Resulting Numbers: [246]
246,86 unequal: No Solution
No 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: 86:[98, 148], Operations: ['68+20=88', '60+88=148']
Exploring Operation: 148-98=50, Resulting Numbers: [50]
50,86 unequal: No Solution
Exploring Operation: 98*148=14504, Resulting Numbers: [14504]
14504,86 unequal: No Solution
Exploring Operation: 98+148=246, Resulting Numbers: [246]
246,86 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: 86:[98, 68, 3], Operations: ['60/20=3']
Exploring Operation: 98-3=95, Resulting Numbers: [68, 95]
Generated Node #0,2,0: 86:[68, 95] Operation: 98-3=95
Exploring Operation: 98-68=30, Resulting Numbers: [3, 30]
Generated Node #0,2,1: 86:[3, 30] Operation: 98-68=30
Exploring Operation: 68+3=71, Resulting Numbers: [98, 71]
Generated Node #0,2,2: 86:[98, 71] Operation: 68+3=71
Exploring Operation: 98+3=101, Resulting Numbers: [68, 101]
Generated Node #0,2,3: 86:[68, 101] Operation: 98+3=101
Exploring Operation: 68-3=65, Resulting Numbers: [98, 65]
Generated Node #0,2,4: 86:[98, 65] Operation: 68-3=65
Moving to Node #0,2,1
Current State: 86:[3, 30], Operations: ['60/20=3', '98-68=30']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,86 unequal: No Solution
Exploring Operation: 3+30=33, Resulting Numbers: [33]
33,86 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,86 unequal: No Solution
Exploring Operation: 3*30=90, Resulting Numbers: [90]
90,86 unequal: No Solution
Moving to Node #0,2,2
Current State: 86:[98, 71], Operations: ['60/20=3', '68+3=71']
Exploring Operation: 98-71=27, Resulting Numbers: [27]
27,86 unequal: No Solution
Exploring Operation: 98+71=169, Resulting Numbers: [169]
169,86 unequal: No Solution
Exploring Operation: 98*71=6958, Resulting Numbers: [6958]
6958,86 unequal: No Solution
Moving to Node #0,2,0
Current State: 86:[68, 95], Operations: ['60/20=3', '98-3=95']
Exploring Operation: 95-68=27, Resulting Numbers: [27]
27,86 unequal: No Solution
Exploring Operation: 68+95=163, Resulting Numbers: [163]
163,86 unequal: No Solution
Exploring Operation: 68*95=6460, Resulting Numbers: [6460]
6460,86 unequal: No Solution
Moving to Node #0,2,3
Current State: 86:[68, 101], Operations: ['60/20=3', '98+3=101']
Exploring Operation: 68*101=6868, Resulting Numbers: [6868]
6868,86 unequal: No Solution
Exploring Operation: 101-68=33, Resulting Numbers: [33]
33,86 unequal: No Solution
Exploring Operation: 68+101=169, Resulting Numbers: [169]
169,86 unequal: No Solution
Moving to Node #0,2,4
Current State: 86:[98, 65], Operations: ['60/20=3', '68-3=65']
Exploring Operation: 98*65=6370, Resulting Numbers: [6370]
6370,86 unequal: No Solution
Exploring Operation: 98-65=33, Resulting Numbers: [33]
33,86 unequal: No Solution
Exploring Operation: 98+65=163, Resulting Numbers: [163]
163,86 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
Current State: 86:[98, 68, 40], Operations: ['60-20=40']
Exploring Operation: 98+40=138, Resulting Numbers: [68, 138]
Generated Node #0,0,0: 86:[68, 138] Operation: 98+40=138
Exploring Operation: 68+40=108, Resulting Numbers: [98, 108]
Generated Node #0,0,1: 86:[98, 108] Operation: 68+40=108
Exploring Operation: 98-40=58, Resulting Numbers: [68, 58]
Generated Node #0,0,2: 86:[68, 58] Operation: 98-40=58
Exploring Operation: 98-68=30, Resulting Numbers: [40, 30]
Generated Node #0,0,3: 86:[40, 30] Operation: 98-68=30
Exploring Operation: 68-40=28, Resulting Numbers: [98, 28]
Generated Node #0,0,4: 86:[98, 28] Operation: 68-40=28
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 86:[40, 30], Operations: ['60-20=40', '98-68=30']
Exploring Operation: 40+30=70, Resulting Numbers: [70]
70,86 unequal: No Solution
Exploring Operation: 40*30=1200, Resulting Numbers: [1200]
1200,86 unequal: No Solution
Exploring Operation: 40-30=10, Resulting Numbers: [10]
10,86 unequal: No Solution
No 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: 86:[98, 28], Operations: ['60-20=40', '68-40=28']
Exploring Operation: 98+28=126, Resulting Numbers: [126]
126,86 unequal: No Solution
Exploring Operation: 98-28=70, Resulting Numbers: [70]
70,86 unequal: No Solution
Exploring Operation: 98*28=2744, Resulting Numbers: [2744]
2744,86 unequal: No Solution
No 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: 86:[68, 58], Operations: ['60-20=40', '98-40=58']
Exploring Operation: 68-58=10, Resulting Numbers: [10]
10,86 unequal: No Solution
Exploring Operation: 68+58=126, Resulting Numbers: [126]
126,86 unequal: No Solution
Exploring Operation: 68*58=3944, Resulting Numbers: [3944]
3944,86 unequal: No Solution
No 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: 86:[98, 108], Operations: ['60-20=40', '68+40=108']
Exploring Operation: 108-98=10, Resulting Numbers: [10]
10,86 unequal: No Solution
Exploring Operation: 98*108=10584, Resulting Numbers: [10584]
10584,86 unequal: No Solution
Exploring Operation: 98+108=206, Resulting Numbers: [206]
206,86 unequal: No Solution
No 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: 86:[68, 138], Operations: ['60-20=40', '98+40=138']
Exploring Operation: 138-68=70, Resulting Numbers: [70]
70,86 unequal: No Solution
Exploring Operation: 68+138=206, Resulting Numbers: [206]
206,86 unequal: No Solution
Exploring Operation: 68*138=9384, Resulting Numbers: [9384]
9384,86 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: 86:[60, 98, 48], Operations: ['68-20=48']
Exploring Operation: 60+98=158, Resulting Numbers: [48, 158]
Generated Node #0,4,0: 86:[48, 158] Operation: 60+98=158
Exploring Operation: 60-48=12, Resulting Numbers: [98, 12]
Generated Node #0,4,1: 86:[98, 12] Operation: 60-48=12
Exploring Operation: 98-60=38, Resulting Numbers: [48, 38]
Generated Node #0,4,2: 86:[48, 38] Operation: 98-60=38
Exploring Operation: 98-48=50, Resulting Numbers: [60, 50]
Generated Node #0,4,3: 86:[60, 50] Operation: 98-48=50
Exploring Operation: 60+48=108, Resulting Numbers: [98, 108]
Generated Node #0,4,4: 86:[98, 108] Operation: 60+48=108
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 86:[48, 38], Operations: ['68-20=48', '98-60=38']
Exploring Operation: 48*38=1824, Resulting Numbers: [1824]
1824,86 unequal: No Solution
Exploring Operation: 48+38=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[60, 98, 68, 20], Operations: []
Exploring Operation: 68-20=48, Resulting Numbers: [60, 98, 48]
Generated Node #0,4: 86:[60, 98, 48] Operation: 68-20=48
Moving to Node #0,4
Current State: 86:[60, 98, 48], Operations: ['68-20=48']
Exploring Operation: 98-60=38, Resulting Numbers: [48, 38]
Generated Node #0,4,2: 86:[48, 38] Operation: 98-60=38
Moving to Node #0,4,2
Current State: 86:[48, 38], Operations: ['68-20=48', '98-60=38']
Exploring Operation: 48+38=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.932292 | hs_5 | mult_heuristic |
[
86,
68,
13,
60
] | 34 | [
"86-60=26",
"68*13=884",
"884/26=34"
] | Current State: 34:[86, 68, 13, 60], Operations: []
Exploring Operation: 86-60=26, Resulting Numbers: [68, 13, 26]
Generated Node #2: [68, 13, 26] from Operation: 86-60=26
Current State: 34:[68, 13, 26], Operations: ['86-60=26']
Exploring Operation: 68*13=884, Resulting Numbers: [26, 884]
Generated Node #3: [26, 884] from Operation: 68*13=884
Current State: 34:[26, 884], Operations: ['86-60=26', '68*13=884']
Exploring Operation: 884/26=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[86, 68, 13, 60], Operations: []
Exploring Operation: 86-60=26, Resulting Numbers: [68, 13, 26]
Generated Node #0,0: 34:[68, 13, 26] Operation: 86-60=26
Exploring Operation: 86-68=18, Resulting Numbers: [13, 60, 18]
Generated Node #0,1: 34:[13, 60, 18] Operation: 86-68=18
Start Sub Search at level 1: Moving to Node #0,1
Current State: 34:[13, 60, 18], Operations: ['86-68=18']
Exploring Operation: 60-13=47, Resulting Numbers: [18, 47]
Generated Node #0,1,0: 34:[18, 47] Operation: 60-13=47
Exploring Operation: 60-18=42, Resulting Numbers: [13, 42]
Generated Node #0,1,1: 34:[13, 42] Operation: 60-18=42
Moving to Node #0,1,1
Current State: 34:[13, 42], Operations: ['86-68=18', '60-18=42']
Exploring Operation: 13+42=55, Resulting Numbers: [55]
55,34 unequal: No Solution
Exploring Operation: 42-13=29, Resulting Numbers: [29]
29,34 unequal: No Solution
Moving to Node #0,1,0
Current State: 34:[18, 47], Operations: ['86-68=18', '60-13=47']
Exploring Operation: 18+47=65, Resulting Numbers: [65]
65,34 unequal: No Solution
Exploring Operation: 47-18=29, Resulting Numbers: [29]
29,34 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 #0,0
Current State: 34:[68, 13, 26], Operations: ['86-60=26']
Exploring Operation: 68-13=55, Resulting Numbers: [26, 55]
Generated Node #0,0,0: 34:[26, 55] Operation: 68-13=55
Exploring Operation: 68-26=42, Resulting Numbers: [13, 42]
Generated Node #0,0,1: 34:[13, 42] Operation: 68-26=42
Moving to Node #0,0,1
Current State: 34:[13, 42], Operations: ['86-60=26', '68-26=42']
Exploring Operation: 13+42=55, Resulting Numbers: [55]
55,34 unequal: No Solution
Exploring Operation: 42-13=29, Resulting Numbers: [29]
29,34 unequal: No Solution
Moving to Node #0,0,0
Current State: 34:[26, 55], Operations: ['86-60=26', '68-13=55']
Exploring Operation: 26+55=81, Resulting Numbers: [81]
81,34 unequal: No Solution
Exploring Operation: 55-26=29, Resulting Numbers: [29]
29,34 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 |
[
6,
13,
60,
99
] | 39 | [
"6*13=78",
"99-60=39",
"78-39=39"
] | Current State: 39:[6, 13, 60, 99], Operations: []
Exploring Operation: 6*13=78, Resulting Numbers: [60, 99, 78]
Generated Node #2: [60, 99, 78] from Operation: 6*13=78
Current State: 39:[60, 99, 78], Operations: ['6*13=78']
Exploring Operation: 99-60=39, Resulting Numbers: [78, 39]
Generated Node #3: [78, 39] from Operation: 99-60=39
Current State: 39:[78, 39], Operations: ['6*13=78', '99-60=39']
Exploring Operation: 78-39=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[6, 13, 60, 99], Operations: []
Exploring Operation: 60-13=47, Resulting Numbers: [6, 99, 47]
Generated Node #0,0: 39:[6, 99, 47] Operation: 60-13=47
Exploring Operation: 60/6=10, Resulting Numbers: [13, 99, 10]
Generated Node #0,1: 39:[13, 99, 10] Operation: 60/6=10
Exploring Operation: 99-60=39, Resulting Numbers: [6, 13, 39]
Generated Node #0,2: 39:[6, 13, 39] Operation: 99-60=39
Start Sub Search at level 1: Moving to Node #0,2
Current State: 39:[6, 13, 39], Operations: ['99-60=39']
Exploring Operation: 6+13=19, Resulting Numbers: [39, 19]
Generated Node #0,2,0: 39:[39, 19] Operation: 6+13=19
Exploring Operation: 39/13=3, Resulting Numbers: [6, 3]
Generated Node #0,2,1: 39:[6, 3] Operation: 39/13=3
Exploring Operation: 13-6=7, Resulting Numbers: [39, 7]
Generated Node #0,2,2: 39:[39, 7] Operation: 13-6=7
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 39:[6, 3], Operations: ['99-60=39', '39/13=3']
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 6+3=9, Resulting Numbers: [9]
9,39 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 39:[39, 7], Operations: ['99-60=39', '13-6=7']
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,39 unequal: No Solution
Exploring Operation: 39+7=46, Resulting Numbers: [46]
46,39 unequal: No Solution
Exploring Operation: 39*7=273, Resulting Numbers: [273]
273,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 39:[39, 19], Operations: ['99-60=39', '6+13=19']
Exploring Operation: 39-19=20, Resulting Numbers: [20]
20,39 unequal: No Solution
Exploring Operation: 39*19=741, Resulting Numbers: [741]
741,39 unequal: No Solution
Exploring Operation: 39+19=58, Resulting Numbers: [58]
58,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 39:[13, 99, 10], Operations: ['60/6=10']
Exploring Operation: 13-10=3, Resulting Numbers: [99, 3]
Generated Node #0,1,0: 39:[99, 3] Operation: 13-10=3
Exploring Operation: 99-10=89, Resulting Numbers: [13, 89]
Generated Node #0,1,1: 39:[13, 89] Operation: 99-10=89
Exploring Operation: 99-13=86, Resulting Numbers: [10, 86]
Generated Node #0,1,2: 39:[10, 86] Operation: 99-13=86
Moving to Node #0,1,1
Current State: 39:[13, 89], Operations: ['60/6=10', '99-10=89']
Exploring Operation: 13*89=1157, Resulting Numbers: [1157]
1157,39 unequal: No Solution
Exploring Operation: 13+89=102, Resulting Numbers: [102]
102,39 unequal: No Solution
Exploring Operation: 89-13=76, Resulting Numbers: [76]
76,39 unequal: No Solution
Moving to Node #0,1,2
Current State: 39:[10, 86], Operations: ['60/6=10', '99-13=86']
Exploring Operation: 10+86=96, Resulting Numbers: [96]
96,39 unequal: No Solution
Exploring Operation: 86-10=76, Resulting Numbers: [76]
76,39 unequal: No Solution
Exploring Operation: 10*86=860, Resulting Numbers: [860]
860,39 unequal: No Solution
Moving to Node #0,1,0
Current State: 39:[99, 3], Operations: ['60/6=10', '13-10=3']
Exploring Operation: 99+3=102, Resulting Numbers: [102]
102,39 unequal: No Solution
Exploring Operation: 99-3=96, Resulting Numbers: [96]
96,39 unequal: No Solution
Exploring Operation: 99/3=33, Resulting Numbers: [33]
33,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[6, 99, 47], Operations: ['60-13=47']
Exploring Operation: 99-47=52, Resulting Numbers: [6, 52]
Generated Node #0,0,0: 39:[6, 52] Operation: 99-47=52
Exploring Operation: 99-6=93, Resulting Numbers: [47, 93]
Generated Node #0,0,1: 39:[47, 93] Operation: 99-6=93
Exploring Operation: 47-6=41, Resulting Numbers: [99, 41]
Generated Node #0,0,2: 39:[99, 41] Operation: 47-6=41
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 39:[6, 52], Operations: ['60-13=47', '99-47=52']
Exploring Operation: 52-6=46, Resulting Numbers: [46]
46,39 unequal: No Solution
Exploring Operation: 6+52=58, Resulting Numbers: [58]
58,39 unequal: No Solution
Exploring Operation: 6*52=312, Resulting Numbers: [312]
312,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 39:[47, 93], Operations: ['60-13=47', '99-6=93']
Exploring Operation: 47+93=140, Resulting Numbers: [140]
140,39 unequal: No Solution
Exploring Operation: 93-47=46, Resulting Numbers: [46]
46,39 unequal: No Solution
Exploring Operation: 47*93=4371, Resulting Numbers: [4371]
4371,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 39:[99, 41], Operations: ['60-13=47', '47-6=41']
Exploring Operation: 99*41=4059, Resulting Numbers: [4059]
4059,39 unequal: No Solution
Exploring Operation: 99+41=140, Resulting Numbers: [140]
140,39 unequal: No Solution
Exploring Operation: 99-41=58, Resulting Numbers: [58]
58,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
51,
50,
40,
89
] | 50 | [
"51-50=1",
"89-40=49",
"1+49=50"
] | Current State: 50:[51, 50, 40, 89], Operations: []
Exploring Operation: 51-50=1, Resulting Numbers: [40, 89, 1]
Generated Node #2: [40, 89, 1] from Operation: 51-50=1
Current State: 50:[40, 89, 1], Operations: ['51-50=1']
Exploring Operation: 89-40=49, Resulting Numbers: [1, 49]
Generated Node #3: [1, 49] from Operation: 89-40=49
Current State: 50:[1, 49], Operations: ['51-50=1', '89-40=49']
Exploring Operation: 1+49=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[51, 50, 40, 89], Operations: []
Exploring Operation: 89-51=38, Resulting Numbers: [50, 40, 38]
Generated Node #0,0: 50:[50, 40, 38] Operation: 89-51=38
Exploring Operation: 89-50=39, Resulting Numbers: [51, 40, 39]
Generated Node #0,1: 50:[51, 40, 39] Operation: 89-50=39
Exploring Operation: 51-40=11, Resulting Numbers: [50, 89, 11]
Generated Node #0,2: 50:[50, 89, 11] Operation: 51-40=11
Exploring Operation: 50-40=10, Resulting Numbers: [51, 89, 10]
Generated Node #0,3: 50:[51, 89, 10] Operation: 50-40=10
Exploring Operation: 89-40=49, Resulting Numbers: [51, 50, 49]
Generated Node #0,4: 50:[51, 50, 49] Operation: 89-40=49
Moving to Node #0,4
Current State: 50:[51, 50, 49], Operations: ['89-40=49']
Exploring Operation: 51+49=100, Resulting Numbers: [50, 100]
Generated Node #0,4,0: 50:[50, 100] Operation: 51+49=100
Exploring Operation: 51-50=1, Resulting Numbers: [49, 1]
Generated Node #0,4,1: 50:[49, 1] Operation: 51-50=1
Exploring Operation: 51-49=2, Resulting Numbers: [50, 2]
Generated Node #0,4,2: 50:[50, 2] Operation: 51-49=2
Exploring Operation: 50-49=1, Resulting Numbers: [51, 1]
Generated Node #0,4,3: 50:[51, 1] Operation: 50-49=1
Exploring Operation: 50+49=99, Resulting Numbers: [51, 99]
Generated Node #0,4,4: 50:[51, 99] Operation: 50+49=99
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 50:[50, 2], Operations: ['89-40=49', '51-49=2']
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,50 unequal: No Solution
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,50 unequal: No Solution
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,50 unequal: No Solution
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,50 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 #0,4,1
Current State: 50:[49, 1], Operations: ['89-40=49', '51-50=1']
Exploring Operation: 49/1=49, Resulting Numbers: [49]
49,50 unequal: No Solution
Exploring Operation: 49+1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[51, 50, 40, 89], Operations: []
Exploring Operation: 89-40=49, Resulting Numbers: [51, 50, 49]
Generated Node #0,4: 50:[51, 50, 49] Operation: 89-40=49
Moving to Node #0,4
Current State: 50:[51, 50, 49], Operations: ['89-40=49']
Exploring Operation: 51-50=1, Resulting Numbers: [49, 1]
Generated Node #0,4,1: 50:[49, 1] Operation: 51-50=1
Moving to Node #0,4,1
Current State: 50:[49, 1], Operations: ['89-40=49', '51-50=1']
Exploring Operation: 49+1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | sum_heuristic |
[
40,
63,
99,
48
] | 74 | [
"63-40=23",
"99-48=51",
"23+51=74"
] | Current State: 74:[40, 63, 99, 48], Operations: []
Exploring Operation: 63-40=23, Resulting Numbers: [99, 48, 23]
Generated Node #2: [99, 48, 23] from Operation: 63-40=23
Current State: 74:[99, 48, 23], Operations: ['63-40=23']
Exploring Operation: 99-48=51, Resulting Numbers: [23, 51]
Generated Node #3: [23, 51] from Operation: 99-48=51
Current State: 74:[23, 51], Operations: ['63-40=23', '99-48=51']
Exploring Operation: 23+51=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[40, 63, 99, 48], Operations: []
Exploring Operation: 63-48=15, Resulting Numbers: [40, 99, 15]
Generated Node #0,0: 74:[40, 99, 15] Operation: 63-48=15
Exploring Operation: 99-63=36, Resulting Numbers: [40, 48, 36]
Generated Node #0,1: 74:[40, 48, 36] Operation: 99-63=36
Exploring Operation: 99-48=51, Resulting Numbers: [40, 63, 51]
Generated Node #0,2: 74:[40, 63, 51] Operation: 99-48=51
Exploring Operation: 99-40=59, Resulting Numbers: [63, 48, 59]
Generated Node #0,3: 74:[63, 48, 59] Operation: 99-40=59
Moving to Node #0,1
Current State: 74:[40, 48, 36], Operations: ['99-63=36']
Exploring Operation: 40-36=4, Resulting Numbers: [48, 4]
Generated Node #0,1,0: 74:[48, 4] Operation: 40-36=4
Exploring Operation: 40+36=76, Resulting Numbers: [48, 76]
Generated Node #0,1,1: 74:[48, 76] Operation: 40+36=76
Exploring Operation: 48+36=84, Resulting Numbers: [40, 84]
Generated Node #0,1,2: 74:[40, 84] Operation: 48+36=84
Exploring Operation: 48-40=8, Resulting Numbers: [36, 8]
Generated Node #0,1,3: 74:[36, 8] Operation: 48-40=8
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 74:[36, 8], Operations: ['99-63=36', '48-40=8']
Exploring Operation: 36+8=44, Resulting Numbers: [44]
44,74 unequal: No Solution
Exploring Operation: 36*8=288, Resulting Numbers: [288]
288,74 unequal: No Solution
Exploring Operation: 36-8=28, Resulting Numbers: [28]
28,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 74:[48, 4], Operations: ['99-63=36', '40-36=4']
Exploring Operation: 48*4=192, Resulting Numbers: [192]
192,74 unequal: No Solution
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,74 unequal: No Solution
Exploring Operation: 48+4=52, Resulting Numbers: [52]
52,74 unequal: No Solution
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 74:[48, 76], Operations: ['99-63=36', '40+36=76']
Exploring Operation: 48+76=124, Resulting Numbers: [124]
124,74 unequal: No Solution
Exploring Operation: 76-48=28, Resulting Numbers: [28]
28,74 unequal: No Solution
Exploring Operation: 48*76=3648, Resulting Numbers: [3648]
3648,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 74:[40, 84], Operations: ['99-63=36', '48+36=84']
Exploring Operation: 84-40=44, Resulting Numbers: [44]
44,74 unequal: No Solution
Exploring Operation: 40*84=3360, Resulting Numbers: [3360]
3360,74 unequal: No Solution
Exploring Operation: 40+84=124, Resulting Numbers: [124]
124,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 74:[40, 63, 51], Operations: ['99-48=51']
Exploring Operation: 51-40=11, Resulting Numbers: [63, 11]
Generated Node #0,2,0: 74:[63, 11] Operation: 51-40=11
Exploring Operation: 63-51=12, Resulting Numbers: [40, 12]
Generated Node #0,2,1: 74:[40, 12] Operation: 63-51=12
Exploring Operation: 63-40=23, Resulting Numbers: [51, 23]
Generated Node #0,2,2: 74:[51, 23] Operation: 63-40=23
Exploring Operation: 40+51=91, Resulting Numbers: [63, 91]
Generated Node #0,2,3: 74:[63, 91] Operation: 40+51=91
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 74:[40, 12], Operations: ['99-48=51', '63-51=12']
Exploring Operation: 40-12=28, Resulting Numbers: [28]
28,74 unequal: No Solution
Exploring Operation: 40+12=52, Resulting Numbers: [52]
52,74 unequal: No Solution
Exploring Operation: 40*12=480, Resulting Numbers: [480]
480,74 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 #0,2,0
Current State: 74:[63, 11], Operations: ['99-48=51', '51-40=11']
Exploring Operation: 63*11=693, Resulting Numbers: [693]
693,74 unequal: No Solution
Exploring Operation: 63-11=52, Resulting Numbers: [52]
52,74 unequal: No Solution
Exploring Operation: 63+11=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[40, 63, 99, 48], Operations: []
Exploring Operation: 99-48=51, Resulting Numbers: [40, 63, 51]
Generated Node #0,2: 74:[40, 63, 51] Operation: 99-48=51
Moving to Node #0,2
Current State: 74:[40, 63, 51], Operations: ['99-48=51']
Exploring Operation: 51-40=11, Resulting Numbers: [63, 11]
Generated Node #0,2,0: 74:[63, 11] Operation: 51-40=11
Moving to Node #0,2,0
Current State: 74:[63, 11], Operations: ['99-48=51', '51-40=11']
Exploring Operation: 63+11=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_4 | mult_heuristic |
[
28,
14,
6,
7
] | 77 | [
"28-14=14",
"6*14=84",
"84-7=77"
] | Current State: 77:[28, 14, 6, 7], Operations: []
Exploring Operation: 28-14=14, Resulting Numbers: [6, 7, 14]
Generated Node #2: [6, 7, 14] from Operation: 28-14=14
Current State: 77:[6, 7, 14], Operations: ['28-14=14']
Exploring Operation: 6*14=84, Resulting Numbers: [7, 84]
Generated Node #3: [7, 84] from Operation: 6*14=84
Current State: 77:[7, 84], Operations: ['28-14=14', '6*14=84']
Exploring Operation: 84-7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[28, 14, 6, 7], Operations: []
Exploring Operation: 28-14=14, Resulting Numbers: [6, 7, 14]
Generated Node #0,0: 77:[6, 7, 14] Operation: 28-14=14
Exploring Operation: 28/14=2, Resulting Numbers: [6, 7, 2]
Generated Node #0,1: 77:[6, 7, 2] Operation: 28/14=2
Moving to Node #0,0
Current State: 77:[6, 7, 14], Operations: ['28-14=14']
Exploring Operation: 14-6=8, Resulting Numbers: [7, 8]
Generated Node #0,0,0: 77:[7, 8] Operation: 14-6=8
Exploring Operation: 14-7=7, Resulting Numbers: [6, 7]
Generated Node #0,0,1: 77:[6, 7] Operation: 14-7=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 77:[7, 8], Operations: ['28-14=14', '14-6=8']
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,77 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,77 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:[6, 7], Operations: ['28-14=14', '14-7=7']
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,77 unequal: No Solution
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 77:[6, 7, 2], Operations: ['28/14=2']
Exploring Operation: 6*2=12, Resulting Numbers: [7, 12]
Generated Node #0,1,0: 77:[7, 12] Operation: 6*2=12
Exploring Operation: 6+2=8, Resulting Numbers: [7, 8]
Generated Node #0,1,1: 77:[7, 8] Operation: 6+2=8
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 77:[7, 12], Operations: ['28/14=2', '6*2=12']
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,77 unequal: No Solution
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,77 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:[7, 8], Operations: ['28/14=2', '6+2=8']
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,77 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,77 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 |
[
89,
26,
45,
76
] | 32 | [
"89-26=63",
"76-45=31",
"63-31=32"
] | Current State: 32:[89, 26, 45, 76], Operations: []
Exploring Operation: 89-26=63, Resulting Numbers: [45, 76, 63]
Generated Node #2: [45, 76, 63] from Operation: 89-26=63
Current State: 32:[45, 76, 63], Operations: ['89-26=63']
Exploring Operation: 76-45=31, Resulting Numbers: [63, 31]
Generated Node #3: [63, 31] from Operation: 76-45=31
Current State: 32:[63, 31], Operations: ['89-26=63', '76-45=31']
Exploring Operation: 63-31=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[89, 26, 45, 76], Operations: []
Exploring Operation: 76-26=50, Resulting Numbers: [89, 45, 50]
Generated Node #0,0: 32:[89, 45, 50] Operation: 76-26=50
Exploring Operation: 89-76=13, Resulting Numbers: [26, 45, 13]
Generated Node #0,1: 32:[26, 45, 13] Operation: 89-76=13
Exploring Operation: 89-45=44, Resulting Numbers: [26, 76, 44]
Generated Node #0,2: 32:[26, 76, 44] Operation: 89-45=44
Exploring Operation: 76-45=31, Resulting Numbers: [89, 26, 31]
Generated Node #0,3: 32:[89, 26, 31] Operation: 76-45=31
Exploring Operation: 89-26=63, Resulting Numbers: [45, 76, 63]
Generated Node #0,4: 32:[45, 76, 63] Operation: 89-26=63
Moving to Node #0,1
Current State: 32:[26, 45, 13], Operations: ['89-76=13']
Exploring Operation: 45-26=19, Resulting Numbers: [13, 19]
Generated Node #0,1,0: 32:[13, 19] Operation: 45-26=19
Exploring Operation: 26/13=2, Resulting Numbers: [45, 2]
Generated Node #0,1,1: 32:[45, 2] Operation: 26/13=2
Exploring Operation: 26+13=39, Resulting Numbers: [45, 39]
Generated Node #0,1,2: 32:[45, 39] Operation: 26+13=39
Exploring Operation: 26-13=13, Resulting Numbers: [45, 13]
Generated Node #0,1,3: 32:[45, 13] Operation: 26-13=13
Exploring Operation: 45-13=32, Resulting Numbers: [26, 32]
Generated Node #0,1,4: 32:[26, 32] Operation: 45-13=32
Moving to Node #0,2
Current State: 32:[26, 76, 44], Operations: ['89-45=44']
Exploring Operation: 76-44=32, Resulting Numbers: [26, 32]
Generated Node #0,2,0: 32:[26, 32] Operation: 76-44=32
Exploring Operation: 44-26=18, Resulting Numbers: [76, 18]
Generated Node #0,2,1: 32:[76, 18] Operation: 44-26=18
Exploring Operation: 26+44=70, Resulting Numbers: [76, 70]
Generated Node #0,2,2: 32:[76, 70] Operation: 26+44=70
Exploring Operation: 76-26=50, Resulting Numbers: [44, 50]
Generated Node #0,2,3: 32:[44, 50] Operation: 76-26=50
Exploring Operation: 26+76=102, Resulting Numbers: [44, 102]
Generated Node #0,2,4: 32:[44, 102] Operation: 26+76=102
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 32:[26, 32], Operations: ['89-45=44', '76-44=32']
Exploring Operation: 26+32=58, Resulting Numbers: [58]
58,32 unequal: No Solution
Exploring Operation: 26*32=832, Resulting Numbers: [832]
832,32 unequal: No Solution
Exploring Operation: 32-26=6, Resulting Numbers: [6]
6,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 32:[44, 50], Operations: ['89-45=44', '76-26=50']
Exploring Operation: 44+50=94, Resulting Numbers: [94]
94,32 unequal: No Solution
Exploring Operation: 50-44=6, Resulting Numbers: [6]
6,32 unequal: No Solution
Exploring Operation: 44*50=2200, Resulting Numbers: [2200]
2200,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 32:[76, 18], Operations: ['89-45=44', '44-26=18']
Exploring Operation: 76*18=1368, Resulting Numbers: [1368]
1368,32 unequal: No Solution
Exploring Operation: 76+18=94, Resulting Numbers: [94]
94,32 unequal: No Solution
Exploring Operation: 76-18=58, Resulting Numbers: [58]
58,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 32:[76, 70], Operations: ['89-45=44', '26+44=70']
Exploring Operation: 76+70=146, Resulting Numbers: [146]
146,32 unequal: No Solution
Exploring Operation: 76*70=5320, Resulting Numbers: [5320]
5320,32 unequal: No Solution
Exploring Operation: 76-70=6, Resulting Numbers: [6]
6,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 32:[44, 102], Operations: ['89-45=44', '26+76=102']
Exploring Operation: 44*102=4488, Resulting Numbers: [4488]
4488,32 unequal: No Solution
Exploring Operation: 44+102=146, Resulting Numbers: [146]
146,32 unequal: No Solution
Exploring Operation: 102-44=58, Resulting Numbers: [58]
58,32 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: 32:[89, 26, 31], Operations: ['76-45=31']
Exploring Operation: 89-26=63, Resulting Numbers: [31, 63]
Generated Node #0,3,0: 32:[31, 63] Operation: 89-26=63
Exploring Operation: 31-26=5, Resulting Numbers: [89, 5]
Generated Node #0,3,1: 32:[89, 5] Operation: 31-26=5
Exploring Operation: 26+31=57, Resulting Numbers: [89, 57]
Generated Node #0,3,2: 32:[89, 57] Operation: 26+31=57
Exploring Operation: 89+26=115, Resulting Numbers: [31, 115]
Generated Node #0,3,3: 32:[31, 115] Operation: 89+26=115
Exploring Operation: 89-31=58, Resulting Numbers: [26, 58]
Generated Node #0,3,4: 32:[26, 58] Operation: 89-31=58
Moving to Node #0,0
Current State: 32:[89, 45, 50], Operations: ['76-26=50']
Exploring Operation: 89+50=139, Resulting Numbers: [45, 139]
Generated Node #0,0,0: 32:[45, 139] Operation: 89+50=139
Exploring Operation: 89-45=44, Resulting Numbers: [50, 44]
Generated Node #0,0,1: 32:[50, 44] Operation: 89-45=44
Exploring Operation: 50-45=5, Resulting Numbers: [89, 5]
Generated Node #0,0,2: 32:[89, 5] Operation: 50-45=5
Exploring Operation: 89-50=39, Resulting Numbers: [45, 39]
Generated Node #0,0,3: 32:[45, 39] Operation: 89-50=39
Exploring Operation: 89+45=134, Resulting Numbers: [50, 134]
Generated Node #0,0,4: 32:[50, 134] Operation: 89+45=134
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 32:[45, 39], Operations: ['76-26=50', '89-50=39']
Exploring Operation: 45*39=1755, Resulting Numbers: [1755]
1755,32 unequal: No Solution
Exploring Operation: 45+39=84, Resulting Numbers: [84]
84,32 unequal: No Solution
Exploring Operation: 45-39=6, Resulting Numbers: [6]
6,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 32:[50, 44], Operations: ['76-26=50', '89-45=44']
Exploring Operation: 50*44=2200, Resulting Numbers: [2200]
2200,32 unequal: No Solution
Exploring Operation: 50-44=6, Resulting Numbers: [6]
6,32 unequal: No Solution
Exploring Operation: 50+44=94, Resulting Numbers: [94]
94,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 32:[89, 5], Operations: ['76-26=50', '50-45=5']
Exploring Operation: 89*5=445, Resulting Numbers: [445]
445,32 unequal: No Solution
Exploring Operation: 89+5=94, Resulting Numbers: [94]
94,32 unequal: No Solution
Exploring Operation: 89-5=84, Resulting Numbers: [84]
84,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 32:[45, 139], Operations: ['76-26=50', '89+50=139']
Exploring Operation: 139-45=94, Resulting Numbers: [94]
94,32 unequal: No Solution
Exploring Operation: 45*139=6255, Resulting Numbers: [6255]
6255,32 unequal: No Solution
Exploring Operation: 45+139=184, Resulting Numbers: [184]
184,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 32:[50, 134], Operations: ['76-26=50', '89+45=134']
Exploring Operation: 50*134=6700, Resulting Numbers: [6700]
6700,32 unequal: No Solution
Exploring Operation: 50+134=184, Resulting Numbers: [184]
184,32 unequal: No Solution
Exploring Operation: 134-50=84, Resulting Numbers: [84]
84,32 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: 32:[45, 76, 63], Operations: ['89-26=63']
Exploring Operation: 76-45=31, Resulting Numbers: [63, 31]
Generated Node #0,4,0: 32:[63, 31] Operation: 76-45=31
Exploring Operation: 45+63=108, Resulting Numbers: [76, 108]
Generated Node #0,4,1: 32:[76, 108] Operation: 45+63=108
Exploring Operation: 76-63=13, Resulting Numbers: [45, 13]
Generated Node #0,4,2: 32:[45, 13] Operation: 76-63=13
Exploring Operation: 63-45=18, Resulting Numbers: [76, 18]
Generated Node #0,4,3: 32:[76, 18] Operation: 63-45=18
Exploring Operation: 45+76=121, Resulting Numbers: [63, 121]
Generated Node #0,4,4: 32:[63, 121] Operation: 45+76=121
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 32:[45, 13], Operations: ['89-26=63', '76-63=13']
Exploring Operation: 45*13=585, Resulting Numbers: [585]
585,32 unequal: No Solution
Exploring Operation: 45+13=58, Resulting Numbers: [58]
58,32 unequal: No Solution
Exploring Operation: 45-13=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[89, 26, 45, 76], Operations: []
Exploring Operation: 89-26=63, Resulting Numbers: [45, 76, 63]
Generated Node #0,4: 32:[45, 76, 63] Operation: 89-26=63
Moving to Node #0,4
Current State: 32:[45, 76, 63], Operations: ['89-26=63']
Exploring Operation: 76-63=13, Resulting Numbers: [45, 13]
Generated Node #0,4,2: 32:[45, 13] Operation: 76-63=13
Moving to Node #0,4,2
Current State: 32:[45, 13], Operations: ['89-26=63', '76-63=13']
Exploring Operation: 45-13=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.94184 | hs_5 | mult_heuristic |
[
73,
88,
6,
13
] | 78 | [
"73-13=60",
"60/6=10",
"88-10=78"
] | Current State: 78:[73, 88, 6, 13], Operations: []
Exploring Operation: 73-13=60, Resulting Numbers: [88, 6, 60]
Generated Node #2: [88, 6, 60] from Operation: 73-13=60
Current State: 78:[88, 6, 60], Operations: ['73-13=60']
Exploring Operation: 60/6=10, Resulting Numbers: [88, 10]
Generated Node #3: [88, 10] from Operation: 60/6=10
Current State: 78:[88, 10], Operations: ['73-13=60', '60/6=10']
Exploring Operation: 88-10=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[73, 88, 6, 13], Operations: []
Exploring Operation: 88-6=82, Resulting Numbers: [73, 13, 82]
Generated Node #0,0: 78:[73, 13, 82] Operation: 88-6=82
Exploring Operation: 88-13=75, Resulting Numbers: [73, 6, 75]
Generated Node #0,1: 78:[73, 6, 75] Operation: 88-13=75
Exploring Operation: 88-73=15, Resulting Numbers: [6, 13, 15]
Generated Node #0,2: 78:[6, 13, 15] Operation: 88-73=15
Start Sub Search at level 1: Moving to Node #0,2
Current State: 78:[6, 13, 15], Operations: ['88-73=15']
Exploring Operation: 13+15=28, Resulting Numbers: [6, 28]
Generated Node #0,2,0: 78:[6, 28] Operation: 13+15=28
Exploring Operation: 6*13=78, Resulting Numbers: [15, 78]
Generated Node #0,2,1: 78:[15, 78] Operation: 6*13=78
Exploring Operation: 15-13=2, Resulting Numbers: [6, 2]
Generated Node #0,2,2: 78:[6, 2] Operation: 15-13=2
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 78:[6, 2], Operations: ['88-73=15', '15-13=2']
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,78 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,78 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 78:[6, 28], Operations: ['88-73=15', '13+15=28']
Exploring Operation: 6*28=168, Resulting Numbers: [168]
168,78 unequal: No Solution
Exploring Operation: 6+28=34, Resulting Numbers: [34]
34,78 unequal: No Solution
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 78:[15, 78], Operations: ['88-73=15', '6*13=78']
Exploring Operation: 15+78=93, Resulting Numbers: [93]
93,78 unequal: No Solution
Exploring Operation: 78-15=63, Resulting Numbers: [63]
63,78 unequal: No Solution
Exploring Operation: 15*78=1170, Resulting Numbers: [1170]
1170,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 78:[73, 6, 75], Operations: ['88-13=75']
Exploring Operation: 6+75=81, Resulting Numbers: [73, 81]
Generated Node #0,1,0: 78:[73, 81] Operation: 6+75=81
Exploring Operation: 75-73=2, Resulting Numbers: [6, 2]
Generated Node #0,1,1: 78:[6, 2] Operation: 75-73=2
Exploring Operation: 73+6=79, Resulting Numbers: [75, 79]
Generated Node #0,1,2: 78:[75, 79] Operation: 73+6=79
Moving to Node #0,1,1
Current State: 78:[6, 2], Operations: ['88-13=75', '75-73=2']
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,78 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,78 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,78 unequal: No Solution
Moving to Node #0,1,2
Current State: 78:[75, 79], Operations: ['88-13=75', '73+6=79']
Exploring Operation: 75*79=5925, Resulting Numbers: [5925]
5925,78 unequal: No Solution
Exploring Operation: 75+79=154, Resulting Numbers: [154]
154,78 unequal: No Solution
Exploring Operation: 79-75=4, Resulting Numbers: [4]
4,78 unequal: No Solution
Moving to Node #0,1,0
Current State: 78:[73, 81], Operations: ['88-13=75', '6+75=81']
Exploring Operation: 81-73=8, Resulting Numbers: [8]
8,78 unequal: No Solution
Exploring Operation: 73+81=154, Resulting Numbers: [154]
154,78 unequal: No Solution
Exploring Operation: 73*81=5913, Resulting Numbers: [5913]
5913,78 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 #0,0
Current State: 78:[73, 13, 82], Operations: ['88-6=82']
Exploring Operation: 82-13=69, Resulting Numbers: [73, 69]
Generated Node #0,0,0: 78:[73, 69] Operation: 82-13=69
Exploring Operation: 73+13=86, Resulting Numbers: [82, 86]
Generated Node #0,0,1: 78:[82, 86] Operation: 73+13=86
Exploring Operation: 82-73=9, Resulting Numbers: [13, 9]
Generated Node #0,0,2: 78:[13, 9] Operation: 82-73=9
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 78:[13, 9], Operations: ['88-6=82', '82-73=9']
Exploring Operation: 13*9=117, Resulting Numbers: [117]
117,78 unequal: No Solution
Exploring Operation: 13+9=22, Resulting Numbers: [22]
22,78 unequal: No Solution
Exploring Operation: 13-9=4, Resulting Numbers: [4]
4,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 78:[82, 86], Operations: ['88-6=82', '73+13=86']
Exploring Operation: 82+86=168, Resulting Numbers: [168]
168,78 unequal: No Solution
Exploring Operation: 86-82=4, Resulting Numbers: [4]
4,78 unequal: No Solution
Exploring Operation: 82*86=7052, Resulting Numbers: [7052]
7052,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 78:[73, 69], Operations: ['88-6=82', '82-13=69']
Exploring Operation: 73*69=5037, Resulting Numbers: [5037]
5037,78 unequal: No Solution
Exploring Operation: 73+69=142, Resulting Numbers: [142]
142,78 unequal: No Solution
Exploring Operation: 73-69=4, Resulting Numbers: [4]
4,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
34,
46,
96,
32
] | 76 | [
"46-34=12",
"96-32=64",
"12+64=76"
] | Current State: 76:[34, 46, 96, 32], Operations: []
Exploring Operation: 46-34=12, Resulting Numbers: [96, 32, 12]
Generated Node #2: [96, 32, 12] from Operation: 46-34=12
Current State: 76:[96, 32, 12], Operations: ['46-34=12']
Exploring Operation: 96-32=64, Resulting Numbers: [12, 64]
Generated Node #3: [12, 64] from Operation: 96-32=64
Current State: 76:[12, 64], Operations: ['46-34=12', '96-32=64']
Exploring Operation: 12+64=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[34, 46, 96, 32], Operations: []
Exploring Operation: 96-32=64, Resulting Numbers: [34, 46, 64]
Generated Node #0,0: 76:[34, 46, 64] Operation: 96-32=64
Exploring Operation: 96/32=3, Resulting Numbers: [34, 46, 3]
Generated Node #0,1: 76:[34, 46, 3] Operation: 96/32=3
Exploring Operation: 46+32=78, Resulting Numbers: [34, 96, 78]
Generated Node #0,2: 76:[34, 96, 78] Operation: 46+32=78
Exploring Operation: 96-46=50, Resulting Numbers: [34, 32, 50]
Generated Node #0,3: 76:[34, 32, 50] Operation: 96-46=50
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[34, 46, 3], Operations: ['96/32=3']
Exploring Operation: 34+46=80, Resulting Numbers: [3, 80]
Generated Node #0,1,0: 76:[3, 80] Operation: 34+46=80
Exploring Operation: 34+3=37, Resulting Numbers: [46, 37]
Generated Node #0,1,1: 76:[46, 37] Operation: 34+3=37
Exploring Operation: 46-3=43, Resulting Numbers: [34, 43]
Generated Node #0,1,2: 76:[34, 43] Operation: 46-3=43
Exploring Operation: 46-34=12, Resulting Numbers: [3, 12]
Generated Node #0,1,3: 76:[3, 12] Operation: 46-34=12
Moving to Node #0,1,0
Current State: 76:[3, 80], Operations: ['96/32=3', '34+46=80']
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,76 unequal: No Solution
Exploring Operation: 3*80=240, Resulting Numbers: [240]
240,76 unequal: No Solution
Exploring Operation: 3+80=83, Resulting Numbers: [83]
83,76 unequal: No Solution
Moving to Node #0,1,3
Current State: 76:[3, 12], Operations: ['96/32=3', '46-34=12']
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,76 unequal: No Solution
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,76 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Moving to Node #0,1,2
Current State: 76:[34, 43], Operations: ['96/32=3', '46-3=43']
Exploring Operation: 34*43=1462, Resulting Numbers: [1462]
1462,76 unequal: No Solution
Exploring Operation: 34+43=77, Resulting Numbers: [77]
77,76 unequal: No Solution
Exploring Operation: 43-34=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[46, 37], Operations: ['96/32=3', '34+3=37']
Exploring Operation: 46+37=83, Resulting Numbers: [83]
83,76 unequal: No Solution
Exploring Operation: 46-37=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 46*37=1702, Resulting Numbers: [1702]
1702,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 76:[34, 32, 50], Operations: ['96-46=50']
Exploring Operation: 50-34=16, Resulting Numbers: [32, 16]
Generated Node #0,3,0: 76:[32, 16] Operation: 50-34=16
Exploring Operation: 32+50=82, Resulting Numbers: [34, 82]
Generated Node #0,3,1: 76:[34, 82] Operation: 32+50=82
Exploring Operation: 34-32=2, Resulting Numbers: [50, 2]
Generated Node #0,3,2: 76:[50, 2] Operation: 34-32=2
Exploring Operation: 50-32=18, Resulting Numbers: [34, 18]
Generated Node #0,3,3: 76:[34, 18] Operation: 50-32=18
Moving to Node #0,3,3
Current State: 76:[34, 18], Operations: ['96-46=50', '50-32=18']
Exploring Operation: 34+18=52, Resulting Numbers: [52]
52,76 unequal: No Solution
Exploring Operation: 34*18=612, Resulting Numbers: [612]
612,76 unequal: No Solution
Exploring Operation: 34-18=16, Resulting Numbers: [16]
16,76 unequal: No Solution
Moving to Node #0,3,0
Current State: 76:[32, 16], Operations: ['96-46=50', '50-34=16']
Exploring Operation: 32-16=16, Resulting Numbers: [16]
16,76 unequal: No Solution
Exploring Operation: 32/16=2, Resulting Numbers: [2]
2,76 unequal: No Solution
Exploring Operation: 32*16=512, Resulting Numbers: [512]
512,76 unequal: No Solution
Exploring Operation: 32+16=48, Resulting Numbers: [48]
48,76 unequal: No Solution
Moving to Node #0,3,1
Current State: 76:[34, 82], Operations: ['96-46=50', '32+50=82']
Exploring Operation: 82-34=48, Resulting Numbers: [48]
48,76 unequal: No Solution
Exploring Operation: 34+82=116, Resulting Numbers: [116]
116,76 unequal: No Solution
Exploring Operation: 34*82=2788, Resulting Numbers: [2788]
2788,76 unequal: No Solution
Moving to Node #0,3,2
Current State: 76:[50, 2], Operations: ['96-46=50', '34-32=2']
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,76 unequal: No Solution
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,76 unequal: No Solution
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,76 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[34, 46, 64], Operations: ['96-32=64']
Exploring Operation: 46-34=12, Resulting Numbers: [64, 12]
Generated Node #0,0,0: 76:[64, 12] Operation: 46-34=12
Exploring Operation: 64-34=30, Resulting Numbers: [46, 30]
Generated Node #0,0,1: 76:[46, 30] Operation: 64-34=30
Exploring Operation: 64-46=18, Resulting Numbers: [34, 18]
Generated Node #0,0,2: 76:[34, 18] Operation: 64-46=18
Exploring Operation: 34+46=80, Resulting Numbers: [64, 80]
Generated Node #0,0,3: 76:[64, 80] Operation: 34+46=80
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 76:[34, 18], Operations: ['96-32=64', '64-46=18']
Exploring Operation: 34+18=52, Resulting Numbers: [52]
52,76 unequal: No Solution
Exploring Operation: 34*18=612, Resulting Numbers: [612]
612,76 unequal: No Solution
Exploring Operation: 34-18=16, Resulting Numbers: [16]
16,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 76:[46, 30], Operations: ['96-32=64', '64-34=30']
Exploring Operation: 46*30=1380, Resulting Numbers: [1380]
1380,76 unequal: No Solution
Exploring Operation: 46+30=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[34, 46, 96, 32], Operations: []
Exploring Operation: 96-32=64, Resulting Numbers: [34, 46, 64]
Generated Node #0,0: 76:[34, 46, 64] Operation: 96-32=64
Moving to Node #0,0
Current State: 76:[34, 46, 64], Operations: ['96-32=64']
Exploring Operation: 64-34=30, Resulting Numbers: [46, 30]
Generated Node #0,0,1: 76:[46, 30] Operation: 64-34=30
Moving to Node #0,0,1
Current State: 76:[46, 30], Operations: ['96-32=64', '64-34=30']
Exploring Operation: 46+30=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.954861 | hs_4 | sum_heuristic |
[
76,
4,
64,
29
] | 21 | [
"76-4=72",
"64+29=93",
"93-72=21"
] | Current State: 21:[76, 4, 64, 29], Operations: []
Exploring Operation: 76-4=72, Resulting Numbers: [64, 29, 72]
Generated Node #2: [64, 29, 72] from Operation: 76-4=72
Current State: 21:[64, 29, 72], Operations: ['76-4=72']
Exploring Operation: 64+29=93, Resulting Numbers: [72, 93]
Generated Node #3: [72, 93] from Operation: 64+29=93
Current State: 21:[72, 93], Operations: ['76-4=72', '64+29=93']
Exploring Operation: 93-72=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[76, 4, 64, 29], Operations: []
Exploring Operation: 76-64=12, Resulting Numbers: [4, 29, 12]
Generated Node #0,0: 21:[4, 29, 12] Operation: 76-64=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[4, 29, 12], Operations: ['76-64=12']
Exploring Operation: 29-12=17, Resulting Numbers: [4, 17]
Generated Node #0,0,0: 21:[4, 17] Operation: 29-12=17
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 21:[4, 17], Operations: ['76-64=12', '29-12=17']
Exploring Operation: 4+17=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[76, 4, 64, 29], Operations: []
Exploring Operation: 76-64=12, Resulting Numbers: [4, 29, 12]
Generated Node #0,0: 21:[4, 29, 12] Operation: 76-64=12
Moving to Node #0,0
Current State: 21:[4, 29, 12], Operations: ['76-64=12']
Exploring Operation: 29-12=17, Resulting Numbers: [4, 17]
Generated Node #0,0,0: 21:[4, 17] Operation: 29-12=17
Moving to Node #0,0,0
Current State: 21:[4, 17], Operations: ['76-64=12', '29-12=17']
Exploring Operation: 4+17=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
15,
28,
10,
39
] | 83 | [
"15*10=150",
"28+39=67",
"150-67=83"
] | Current State: 83:[15, 28, 10, 39], Operations: []
Exploring Operation: 15*10=150, Resulting Numbers: [28, 39, 150]
Generated Node #2: [28, 39, 150] from Operation: 15*10=150
Current State: 83:[28, 39, 150], Operations: ['15*10=150']
Exploring Operation: 28+39=67, Resulting Numbers: [150, 67]
Generated Node #3: [150, 67] from Operation: 28+39=67
Current State: 83:[150, 67], Operations: ['15*10=150', '28+39=67']
Exploring Operation: 150-67=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[15, 28, 10, 39], Operations: []
Exploring Operation: 15+39=54, Resulting Numbers: [28, 10, 54]
Generated Node #0,0: 83:[28, 10, 54] Operation: 15+39=54
Exploring Operation: 28+10=38, Resulting Numbers: [15, 39, 38]
Generated Node #0,1: 83:[15, 39, 38] Operation: 28+10=38
Exploring Operation: 15+10=25, Resulting Numbers: [28, 39, 25]
Generated Node #0,2: 83:[28, 39, 25] Operation: 15+10=25
Exploring Operation: 15+28=43, Resulting Numbers: [10, 39, 43]
Generated Node #0,3: 83:[10, 39, 43] Operation: 15+28=43
Moving to Node #0,0
Current State: 83:[28, 10, 54], Operations: ['15+39=54']
Exploring Operation: 10+54=64, Resulting Numbers: [28, 64]
Generated Node #0,0,0: 83:[28, 64] Operation: 10+54=64
Exploring Operation: 28+10=38, Resulting Numbers: [54, 38]
Generated Node #0,0,1: 83:[54, 38] Operation: 28+10=38
Exploring Operation: 28-10=18, Resulting Numbers: [54, 18]
Generated Node #0,0,2: 83:[54, 18] Operation: 28-10=18
Exploring Operation: 28+54=82, Resulting Numbers: [10, 82]
Generated Node #0,0,3: 83:[10, 82] Operation: 28+54=82
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 83:[28, 64], Operations: ['15+39=54', '10+54=64']
Exploring Operation: 28+64=92, Resulting Numbers: [92]
92,83 unequal: No Solution
Exploring Operation: 64-28=36, Resulting Numbers: [36]
36,83 unequal: No Solution
Exploring Operation: 28*64=1792, Resulting Numbers: [1792]
1792,83 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 #0,0,1
Current State: 83:[54, 38], Operations: ['15+39=54', '28+10=38']
Exploring Operation: 54-38=16, Resulting Numbers: [16]
16,83 unequal: No Solution
Exploring Operation: 54*38=2052, Resulting Numbers: [2052]
2052,83 unequal: No Solution
Exploring Operation: 54+38=92, Resulting Numbers: [92]
92,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 83:[10, 82], Operations: ['15+39=54', '28+54=82']
Exploring Operation: 10+82=92, Resulting Numbers: [92]
92,83 unequal: No Solution
Exploring Operation: 10*82=820, Resulting Numbers: [820]
820,83 unequal: No Solution
Exploring Operation: 82-10=72, Resulting Numbers: [72]
72,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 83:[54, 18], Operations: ['15+39=54', '28-10=18']
Exploring Operation: 54/18=3, Resulting Numbers: [3]
3,83 unequal: No Solution
Exploring Operation: 54+18=72, Resulting Numbers: [72]
72,83 unequal: No Solution
Exploring Operation: 54-18=36, Resulting Numbers: [36]
36,83 unequal: No Solution
Exploring Operation: 54*18=972, Resulting Numbers: [972]
972,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 83:[28, 39, 25], Operations: ['15+10=25']
Exploring Operation: 39+25=64, Resulting Numbers: [28, 64]
Generated Node #0,2,0: 83:[28, 64] Operation: 39+25=64
Exploring Operation: 28-25=3, Resulting Numbers: [39, 3]
Generated Node #0,2,1: 83:[39, 3] Operation: 28-25=3
Exploring Operation: 28+39=67, Resulting Numbers: [25, 67]
Generated Node #0,2,2: 83:[25, 67] Operation: 28+39=67
Exploring Operation: 28+25=53, Resulting Numbers: [39, 53]
Generated Node #0,2,3: 83:[39, 53] Operation: 28+25=53
Moving to Node #0,1
Current State: 83:[15, 39, 38], Operations: ['28+10=38']
Exploring Operation: 39-15=24, Resulting Numbers: [38, 24]
Generated Node #0,1,0: 83:[38, 24] Operation: 39-15=24
Exploring Operation: 15+39=54, Resulting Numbers: [38, 54]
Generated Node #0,1,1: 83:[38, 54] Operation: 15+39=54
Exploring Operation: 39+38=77, Resulting Numbers: [15, 77]
Generated Node #0,1,2: 83:[15, 77] Operation: 39+38=77
Exploring Operation: 15+38=53, Resulting Numbers: [39, 53]
Generated Node #0,1,3: 83:[39, 53] Operation: 15+38=53
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 83:[38, 54], Operations: ['28+10=38', '15+39=54']
Exploring Operation: 38+54=92, Resulting Numbers: [92]
92,83 unequal: No Solution
Exploring Operation: 54-38=16, Resulting Numbers: [16]
16,83 unequal: No Solution
Exploring Operation: 38*54=2052, Resulting Numbers: [2052]
2052,83 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 #0,1,2
Current State: 83:[15, 77], Operations: ['28+10=38', '39+38=77']
Exploring Operation: 15+77=92, Resulting Numbers: [92]
92,83 unequal: No Solution
Exploring Operation: 15*77=1155, Resulting Numbers: [1155]
1155,83 unequal: No Solution
Exploring Operation: 77-15=62, Resulting Numbers: [62]
62,83 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 #0,1,3
Current State: 83:[39, 53], Operations: ['28+10=38', '15+38=53']
Exploring Operation: 39+53=92, Resulting Numbers: [92]
92,83 unequal: No Solution
Exploring Operation: 53-39=14, Resulting Numbers: [14]
14,83 unequal: No Solution
Exploring Operation: 39*53=2067, Resulting Numbers: [2067]
2067,83 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:[38, 24], Operations: ['28+10=38', '39-15=24']
Exploring Operation: 38-24=14, Resulting Numbers: [14]
14,83 unequal: No Solution
Exploring Operation: 38+24=62, Resulting Numbers: [62]
62,83 unequal: No Solution
Exploring Operation: 38*24=912, Resulting Numbers: [912]
912,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 83:[10, 39, 43], Operations: ['15+28=43']
Exploring Operation: 39-10=29, Resulting Numbers: [43, 29]
Generated Node #0,3,0: 83:[43, 29] Operation: 39-10=29
Exploring Operation: 10+39=49, Resulting Numbers: [43, 49]
Generated Node #0,3,1: 83:[43, 49] Operation: 10+39=49
Exploring Operation: 39+43=82, Resulting Numbers: [10, 82]
Generated Node #0,3,2: 83:[10, 82] Operation: 39+43=82
Exploring Operation: 10+43=53, Resulting Numbers: [39, 53]
Generated Node #0,3,3: 83:[39, 53] Operation: 10+43=53
Moving to Node #0,2,0
Current State: 83:[28, 64], Operations: ['15+10=25', '39+25=64']
Exploring Operation: 64-28=36, Resulting Numbers: [36]
36,83 unequal: No Solution
Exploring Operation: 28*64=1792, Resulting Numbers: [1792]
1792,83 unequal: No Solution
Exploring Operation: 28+64=92, Resulting Numbers: [92]
92,83 unequal: No Solution
Moving to Node #0,2,3
Current State: 83:[39, 53], Operations: ['15+10=25', '28+25=53']
Exploring Operation: 39*53=2067, Resulting Numbers: [2067]
2067,83 unequal: No Solution
Exploring Operation: 39+53=92, Resulting Numbers: [92]
92,83 unequal: No Solution
Exploring Operation: 53-39=14, Resulting Numbers: [14]
14,83 unequal: No Solution
Moving to Node #0,3,3
Current State: 83:[39, 53], Operations: ['15+28=43', '10+43=53']
Exploring Operation: 53-39=14, Resulting Numbers: [14]
14,83 unequal: No Solution
Exploring Operation: 39+53=92, Resulting Numbers: [92]
92,83 unequal: No Solution
Exploring Operation: 39*53=2067, Resulting Numbers: [2067]
2067,83 unequal: No Solution
Moving to Node #0,3,2
Current State: 83:[10, 82], Operations: ['15+28=43', '39+43=82']
Exploring Operation: 10+82=92, Resulting Numbers: [92]
92,83 unequal: No Solution
Exploring Operation: 82-10=72, Resulting Numbers: [72]
72,83 unequal: No Solution
Exploring Operation: 10*82=820, Resulting Numbers: [820]
820,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[25, 67], Operations: ['15+10=25', '28+39=67']
Exploring Operation: 67-25=42, Resulting Numbers: [42]
42,83 unequal: No Solution
Exploring Operation: 25*67=1675, Resulting Numbers: [1675]
1675,83 unequal: No Solution
Exploring Operation: 25+67=92, Resulting Numbers: [92]
92,83 unequal: No Solution
Moving to Node #0,3,1
Current State: 83:[43, 49], Operations: ['15+28=43', '10+39=49']
Exploring Operation: 49-43=6, Resulting Numbers: [6]
6,83 unequal: No Solution
Exploring Operation: 43*49=2107, Resulting Numbers: [2107]
2107,83 unequal: No Solution
Exploring Operation: 43+49=92, Resulting Numbers: [92]
92,83 unequal: No Solution
Moving to Node #0,3,0
Current State: 83:[43, 29], Operations: ['15+28=43', '39-10=29']
Exploring Operation: 43*29=1247, Resulting Numbers: [1247]
1247,83 unequal: No Solution
Exploring Operation: 43-29=14, Resulting Numbers: [14]
14,83 unequal: No Solution
Exploring Operation: 43+29=72, Resulting Numbers: [72]
72,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[39, 3], Operations: ['15+10=25', '28-25=3']
Exploring Operation: 39*3=117, Resulting Numbers: [117]
117,83 unequal: No Solution
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,83 unequal: No Solution
Exploring Operation: 39+3=42, Resulting Numbers: [42]
42,83 unequal: No Solution
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,83 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
17,
30,
72,
43
] | 68 | [
"17+30=47",
"72+43=115",
"115-47=68"
] | Current State: 68:[17, 30, 72, 43], Operations: []
Exploring Operation: 17+30=47, Resulting Numbers: [72, 43, 47]
Generated Node #2: [72, 43, 47] from Operation: 17+30=47
Current State: 68:[72, 43, 47], Operations: ['17+30=47']
Exploring Operation: 72+43=115, Resulting Numbers: [47, 115]
Generated Node #3: [47, 115] from Operation: 72+43=115
Current State: 68:[47, 115], Operations: ['17+30=47', '72+43=115']
Exploring Operation: 115-47=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[17, 30, 72, 43], Operations: []
Exploring Operation: 43-30=13, Resulting Numbers: [17, 72, 13]
Generated Node #0,0: 68:[17, 72, 13] Operation: 43-30=13
Moving to Node #0,0
Current State: 68:[17, 72, 13], Operations: ['43-30=13']
Exploring Operation: 17-13=4, Resulting Numbers: [72, 4]
Generated Node #0,0,0: 68:[72, 4] Operation: 17-13=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 68:[72, 4], Operations: ['43-30=13', '17-13=4']
Exploring Operation: 72-4=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[17, 30, 72, 43], Operations: []
Exploring Operation: 43-30=13, Resulting Numbers: [17, 72, 13]
Generated Node #0,0: 68:[17, 72, 13] Operation: 43-30=13
Moving to Node #0,0
Current State: 68:[17, 72, 13], Operations: ['43-30=13']
Exploring Operation: 17-13=4, Resulting Numbers: [72, 4]
Generated Node #0,0,0: 68:[72, 4] Operation: 17-13=4
Moving to Node #0,0,0
Current State: 68:[72, 4], Operations: ['43-30=13', '17-13=4']
Exploring Operation: 72-4=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
26,
99,
70,
42
] | 39 | [
"99-26=73",
"70+42=112",
"112-73=39"
] | Current State: 39:[26, 99, 70, 42], Operations: []
Exploring Operation: 99-26=73, Resulting Numbers: [70, 42, 73]
Generated Node #2: [70, 42, 73] from Operation: 99-26=73
Current State: 39:[70, 42, 73], Operations: ['99-26=73']
Exploring Operation: 70+42=112, Resulting Numbers: [73, 112]
Generated Node #3: [73, 112] from Operation: 70+42=112
Current State: 39:[73, 112], Operations: ['99-26=73', '70+42=112']
Exploring Operation: 112-73=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[26, 99, 70, 42], Operations: []
Exploring Operation: 99-70=29, Resulting Numbers: [26, 42, 29]
Generated Node #0,0: 39:[26, 42, 29] Operation: 99-70=29
Exploring Operation: 99-42=57, Resulting Numbers: [26, 70, 57]
Generated Node #0,1: 39:[26, 70, 57] Operation: 99-42=57
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[26, 42, 29], Operations: ['99-70=29']
Exploring Operation: 42-26=16, Resulting Numbers: [29, 16]
Generated Node #0,0,0: 39:[29, 16] Operation: 42-26=16
Exploring Operation: 29-26=3, Resulting Numbers: [42, 3]
Generated Node #0,0,1: 39:[42, 3] Operation: 29-26=3
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 39:[42, 3], Operations: ['99-70=29', '29-26=3']
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[26, 99, 70, 42], Operations: []
Exploring Operation: 99-70=29, Resulting Numbers: [26, 42, 29]
Generated Node #0,0: 39:[26, 42, 29] Operation: 99-70=29
Moving to Node #0,0
Current State: 39:[26, 42, 29], Operations: ['99-70=29']
Exploring Operation: 29-26=3, Resulting Numbers: [42, 3]
Generated Node #0,0,1: 39:[42, 3] Operation: 29-26=3
Moving to Node #0,0,1
Current State: 39:[42, 3], Operations: ['99-70=29', '29-26=3']
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
96,
1,
24,
30
] | 41 | [
"96-1=95",
"24+30=54",
"95-54=41"
] | Current State: 41:[96, 1, 24, 30], Operations: []
Exploring Operation: 96-1=95, Resulting Numbers: [24, 30, 95]
Generated Node #2: [24, 30, 95] from Operation: 96-1=95
Current State: 41:[24, 30, 95], Operations: ['96-1=95']
Exploring Operation: 24+30=54, Resulting Numbers: [95, 54]
Generated Node #3: [95, 54] from Operation: 24+30=54
Current State: 41:[95, 54], Operations: ['96-1=95', '24+30=54']
Exploring Operation: 95-54=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[96, 1, 24, 30], Operations: []
Exploring Operation: 96-1=95, Resulting Numbers: [24, 30, 95]
Generated Node #0,0: 41:[24, 30, 95] Operation: 96-1=95
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[24, 30, 95], Operations: ['96-1=95']
Exploring Operation: 95-24=71, Resulting Numbers: [30, 71]
Generated Node #0,0,0: 41:[30, 71] Operation: 95-24=71
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 41:[30, 71], Operations: ['96-1=95', '95-24=71']
Exploring Operation: 71-30=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[96, 1, 24, 30], Operations: []
Exploring Operation: 96-1=95, Resulting Numbers: [24, 30, 95]
Generated Node #0,0: 41:[24, 30, 95] Operation: 96-1=95
Moving to Node #0,0
Current State: 41:[24, 30, 95], Operations: ['96-1=95']
Exploring Operation: 95-24=71, Resulting Numbers: [30, 71]
Generated Node #0,0,0: 41:[30, 71] Operation: 95-24=71
Moving to Node #0,0,0
Current State: 41:[30, 71], Operations: ['96-1=95', '95-24=71']
Exploring Operation: 71-30=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
90,
20,
1,
17
] | 29 | [
"20-17=3",
"90/3=30",
"30-1=29"
] | Current State: 29:[90, 20, 1, 17], Operations: []
Exploring Operation: 20-17=3, Resulting Numbers: [90, 1, 3]
Generated Node #2: [90, 1, 3] from Operation: 20-17=3
Current State: 29:[90, 1, 3], Operations: ['20-17=3']
Exploring Operation: 90/3=30, Resulting Numbers: [1, 30]
Generated Node #3: [1, 30] from Operation: 90/3=30
Current State: 29:[1, 30], Operations: ['20-17=3', '90/3=30']
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[90, 20, 1, 17], Operations: []
Exploring Operation: 90-20=70, Resulting Numbers: [1, 17, 70]
Generated Node #0,0: 29:[1, 17, 70] Operation: 90-20=70
Moving to Node #0,0
Current State: 29:[1, 17, 70], Operations: ['90-20=70']
Exploring Operation: 1+17=18, Resulting Numbers: [70, 18]
Generated Node #0,0,0: 29:[70, 18] Operation: 1+17=18
Moving to Node #0,0,0
Current State: 29:[70, 18], Operations: ['90-20=70', '1+17=18']
Exploring Operation: 70-18=52, Resulting Numbers: [52]
52,29 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
4,
19,
12,
39
] | 85 | [
"19+12=31",
"4*31=124",
"124-39=85"
] | Current State: 85:[4, 19, 12, 39], Operations: []
Exploring Operation: 19+12=31, Resulting Numbers: [4, 39, 31]
Generated Node #2: [4, 39, 31] from Operation: 19+12=31
Current State: 85:[4, 39, 31], Operations: ['19+12=31']
Exploring Operation: 4*31=124, Resulting Numbers: [39, 124]
Generated Node #3: [39, 124] from Operation: 4*31=124
Current State: 85:[39, 124], Operations: ['19+12=31', '4*31=124']
Exploring Operation: 124-39=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[4, 19, 12, 39], Operations: []
Exploring Operation: 4+12=16, Resulting Numbers: [19, 39, 16]
Generated Node #0,0: 85:[19, 39, 16] Operation: 4+12=16
Exploring Operation: 39-4=35, Resulting Numbers: [19, 12, 35]
Generated Node #0,1: 85:[19, 12, 35] Operation: 39-4=35
Exploring Operation: 39-12=27, Resulting Numbers: [4, 19, 27]
Generated Node #0,2: 85:[4, 19, 27] Operation: 39-12=27
Exploring Operation: 39-19=20, Resulting Numbers: [4, 12, 20]
Generated Node #0,3: 85:[4, 12, 20] Operation: 39-19=20
Start Sub Search at level 1: Moving to Node #0,3
Current State: 85:[4, 12, 20], Operations: ['39-19=20']
Exploring Operation: 20-12=8, Resulting Numbers: [4, 8]
Generated Node #0,3,0: 85:[4, 8] Operation: 20-12=8
Exploring Operation: 12/4=3, Resulting Numbers: [20, 3]
Generated Node #0,3,1: 85:[20, 3] Operation: 12/4=3
Exploring Operation: 20/4=5, Resulting Numbers: [12, 5]
Generated Node #0,3,2: 85:[12, 5] Operation: 20/4=5
Exploring Operation: 4+12=16, Resulting Numbers: [20, 16]
Generated Node #0,3,3: 85:[20, 16] Operation: 4+12=16
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 85:[4, 8], Operations: ['39-19=20', '20-12=8']
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,85 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,85 unequal: No Solution
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,85 unequal: No Solution
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 85:[20, 16], Operations: ['39-19=20', '4+12=16']
Exploring Operation: 20+16=36, Resulting Numbers: [36]
36,85 unequal: No Solution
Exploring Operation: 20-16=4, Resulting Numbers: [4]
4,85 unequal: No Solution
Exploring Operation: 20*16=320, Resulting Numbers: [320]
320,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 85:[20, 3], Operations: ['39-19=20', '12/4=3']
Exploring Operation: 20*3=60, Resulting Numbers: [60]
60,85 unequal: No Solution
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,85 unequal: No Solution
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 85:[12, 5], Operations: ['39-19=20', '20/4=5']
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,85 unequal: No Solution
Exploring Operation: 12*5=60, Resulting Numbers: [60]
60,85 unequal: No Solution
Exploring Operation: 12+5=17, Resulting Numbers: [17]
17,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 85:[4, 19, 27], Operations: ['39-12=27']
Exploring Operation: 27-19=8, Resulting Numbers: [4, 8]
Generated Node #0,2,0: 85:[4, 8] Operation: 27-19=8
Exploring Operation: 27-4=23, Resulting Numbers: [19, 23]
Generated Node #0,2,1: 85:[19, 23] Operation: 27-4=23
Exploring Operation: 19-4=15, Resulting Numbers: [27, 15]
Generated Node #0,2,2: 85:[27, 15] Operation: 19-4=15
Exploring Operation: 4+19=23, Resulting Numbers: [27, 23]
Generated Node #0,2,3: 85:[27, 23] Operation: 4+19=23
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 85:[4, 8], Operations: ['39-12=27', '27-19=8']
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,85 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,85 unequal: No Solution
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,85 unequal: No Solution
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 85:[19, 23], Operations: ['39-12=27', '27-4=23']
Exploring Operation: 19*23=437, Resulting Numbers: [437]
437,85 unequal: No Solution
Exploring Operation: 23-19=4, Resulting Numbers: [4]
4,85 unequal: No Solution
Exploring Operation: 19+23=42, Resulting Numbers: [42]
42,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 85:[27, 15], Operations: ['39-12=27', '19-4=15']
Exploring Operation: 27*15=405, Resulting Numbers: [405]
405,85 unequal: No Solution
Exploring Operation: 27+15=42, Resulting Numbers: [42]
42,85 unequal: No Solution
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 85:[27, 23], Operations: ['39-12=27', '4+19=23']
Exploring Operation: 27*23=621, Resulting Numbers: [621]
621,85 unequal: No Solution
Exploring Operation: 27+23=50, Resulting Numbers: [50]
50,85 unequal: No Solution
Exploring Operation: 27-23=4, Resulting Numbers: [4]
4,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[19, 39, 16], Operations: ['4+12=16']
Exploring Operation: 39-19=20, Resulting Numbers: [16, 20]
Generated Node #0,0,0: 85:[16, 20] Operation: 39-19=20
Exploring Operation: 19-16=3, Resulting Numbers: [39, 3]
Generated Node #0,0,1: 85:[39, 3] Operation: 19-16=3
Exploring Operation: 39-16=23, Resulting Numbers: [19, 23]
Generated Node #0,0,2: 85:[19, 23] Operation: 39-16=23
Exploring Operation: 19+39=58, Resulting Numbers: [16, 58]
Generated Node #0,0,3: 85:[16, 58] Operation: 19+39=58
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 85:[16, 20], Operations: ['4+12=16', '39-19=20']
Exploring Operation: 16*20=320, Resulting Numbers: [320]
320,85 unequal: No Solution
Exploring Operation: 20-16=4, Resulting Numbers: [4]
4,85 unequal: No Solution
Exploring Operation: 16+20=36, Resulting Numbers: [36]
36,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 85:[19, 23], Operations: ['4+12=16', '39-16=23']
Exploring Operation: 23-19=4, Resulting Numbers: [4]
4,85 unequal: No Solution
Exploring Operation: 19+23=42, Resulting Numbers: [42]
42,85 unequal: No Solution
Exploring Operation: 19*23=437, Resulting Numbers: [437]
437,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 85:[39, 3], Operations: ['4+12=16', '19-16=3']
Exploring Operation: 39+3=42, Resulting Numbers: [42]
42,85 unequal: No Solution
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,85 unequal: No Solution
Exploring Operation: 39*3=117, Resulting Numbers: [117]
117,85 unequal: No Solution
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 85:[16, 58], Operations: ['4+12=16', '19+39=58']
Exploring Operation: 16+58=74, Resulting Numbers: [74]
74,85 unequal: No Solution
Exploring Operation: 16*58=928, Resulting Numbers: [928]
928,85 unequal: No Solution
Exploring Operation: 58-16=42, Resulting Numbers: [42]
42,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 85:[19, 12, 35], Operations: ['39-4=35']
Exploring Operation: 35-19=16, Resulting Numbers: [12, 16]
Generated Node #0,1,0: 85:[12, 16] Operation: 35-19=16
Exploring Operation: 35-12=23, Resulting Numbers: [19, 23]
Generated Node #0,1,1: 85:[19, 23] Operation: 35-12=23
Exploring Operation: 19-12=7, Resulting Numbers: [35, 7]
Generated Node #0,1,2: 85:[35, 7] Operation: 19-12=7
Exploring Operation: 19+12=31, Resulting Numbers: [35, 31]
Generated Node #0,1,3: 85:[35, 31] Operation: 19+12=31
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 85:[12, 16], Operations: ['39-4=35', '35-19=16']
Exploring Operation: 12+16=28, Resulting Numbers: [28]
28,85 unequal: No Solution
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,85 unequal: No Solution
Exploring Operation: 12*16=192, Resulting Numbers: [192]
192,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 85:[19, 23], Operations: ['39-4=35', '35-12=23']
Exploring Operation: 23-19=4, Resulting Numbers: [4]
4,85 unequal: No Solution
Exploring Operation: 19*23=437, Resulting Numbers: [437]
437,85 unequal: No Solution
Exploring Operation: 19+23=42, Resulting Numbers: [42]
42,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 85:[35, 7], Operations: ['39-4=35', '19-12=7']
Exploring Operation: 35-7=28, Resulting Numbers: [28]
28,85 unequal: No Solution
Exploring Operation: 35+7=42, Resulting Numbers: [42]
42,85 unequal: No Solution
Exploring Operation: 35/7=5, Resulting Numbers: [5]
5,85 unequal: No Solution
Exploring Operation: 35*7=245, Resulting Numbers: [245]
245,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 85:[35, 31], Operations: ['39-4=35', '19+12=31']
Exploring Operation: 35*31=1085, Resulting Numbers: [1085]
1085,85 unequal: No Solution
Exploring Operation: 35+31=66, Resulting Numbers: [66]
66,85 unequal: No Solution
Exploring Operation: 35-31=4, Resulting Numbers: [4]
4,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
42,
69,
72,
68
] | 58 | [
"72-69=3",
"42*3=126",
"126-68=58"
] | Current State: 58:[42, 69, 72, 68], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [42, 68, 3]
Generated Node #2: [42, 68, 3] from Operation: 72-69=3
Current State: 58:[42, 68, 3], Operations: ['72-69=3']
Exploring Operation: 42*3=126, Resulting Numbers: [68, 126]
Generated Node #3: [68, 126] from Operation: 42*3=126
Current State: 58:[68, 126], Operations: ['72-69=3', '42*3=126']
Exploring Operation: 126-68=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[42, 69, 72, 68], Operations: []
Exploring Operation: 69-42=27, Resulting Numbers: [72, 68, 27]
Generated Node #0,0: 58:[72, 68, 27] Operation: 69-42=27
Exploring Operation: 72-42=30, Resulting Numbers: [69, 68, 30]
Generated Node #0,1: 58:[69, 68, 30] Operation: 72-42=30
Exploring Operation: 72-69=3, Resulting Numbers: [42, 68, 3]
Generated Node #0,2: 58:[42, 68, 3] Operation: 72-69=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 58:[69, 68, 30], Operations: ['72-42=30']
Exploring Operation: 68-30=38, Resulting Numbers: [69, 38]
Generated Node #0,1,0: 58:[69, 38] Operation: 68-30=38
Exploring Operation: 69-68=1, Resulting Numbers: [30, 1]
Generated Node #0,1,1: 58:[30, 1] Operation: 69-68=1
Exploring Operation: 69-30=39, Resulting Numbers: [68, 39]
Generated Node #0,1,2: 58:[68, 39] Operation: 69-30=39
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 58:[30, 1], Operations: ['72-42=30', '69-68=1']
Exploring Operation: 30*1=30, Resulting Numbers: [30]
30,58 unequal: No Solution
Exploring Operation: 30/1=30, Resulting Numbers: [30]
30,58 unequal: No Solution
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 58:[69, 38], Operations: ['72-42=30', '68-30=38']
Exploring Operation: 69+38=107, Resulting Numbers: [107]
107,58 unequal: No Solution
Exploring Operation: 69*38=2622, Resulting Numbers: [2622]
2622,58 unequal: No Solution
Exploring Operation: 69-38=31, Resulting Numbers: [31]
31,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 58:[68, 39], Operations: ['72-42=30', '69-30=39']
Exploring Operation: 68-39=29, Resulting Numbers: [29]
29,58 unequal: No Solution
Exploring Operation: 68+39=107, Resulting Numbers: [107]
107,58 unequal: No Solution
Exploring Operation: 68*39=2652, Resulting Numbers: [2652]
2652,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 58:[42, 68, 3], Operations: ['72-69=3']
Exploring Operation: 68-3=65, Resulting Numbers: [42, 65]
Generated Node #0,2,0: 58:[42, 65] Operation: 68-3=65
Exploring Operation: 68-42=26, Resulting Numbers: [3, 26]
Generated Node #0,2,1: 58:[3, 26] Operation: 68-42=26
Exploring Operation: 42-3=39, Resulting Numbers: [68, 39]
Generated Node #0,2,2: 58:[68, 39] Operation: 42-3=39
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 58:[3, 26], Operations: ['72-69=3', '68-42=26']
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,58 unequal: No Solution
Exploring Operation: 3+26=29, Resulting Numbers: [29]
29,58 unequal: No Solution
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 58:[42, 65], Operations: ['72-69=3', '68-3=65']
Exploring Operation: 42*65=2730, Resulting Numbers: [2730]
2730,58 unequal: No Solution
Exploring Operation: 65-42=23, Resulting Numbers: [23]
23,58 unequal: No Solution
Exploring Operation: 42+65=107, Resulting Numbers: [107]
107,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 58:[68, 39], Operations: ['72-69=3', '42-3=39']
Exploring Operation: 68*39=2652, Resulting Numbers: [2652]
2652,58 unequal: No Solution
Exploring Operation: 68-39=29, Resulting Numbers: [29]
29,58 unequal: No Solution
Exploring Operation: 68+39=107, Resulting Numbers: [107]
107,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[72, 68, 27], Operations: ['69-42=27']
Exploring Operation: 68-27=41, Resulting Numbers: [72, 41]
Generated Node #0,0,0: 58:[72, 41] Operation: 68-27=41
Exploring Operation: 72-68=4, Resulting Numbers: [27, 4]
Generated Node #0,0,1: 58:[27, 4] Operation: 72-68=4
Exploring Operation: 72-27=45, Resulting Numbers: [68, 45]
Generated Node #0,0,2: 58:[68, 45] Operation: 72-27=45
Moving to Node #0,0,1
Current State: 58:[27, 4], Operations: ['69-42=27', '72-68=4']
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,58 unequal: No Solution
Exploring Operation: 27*4=108, Resulting Numbers: [108]
108,58 unequal: No Solution
Exploring Operation: 27+4=31, Resulting Numbers: [31]
31,58 unequal: No Solution
Moving to Node #0,0,2
Current State: 58:[68, 45], Operations: ['69-42=27', '72-27=45']
Exploring Operation: 68+45=113, Resulting Numbers: [113]
113,58 unequal: No Solution
Exploring Operation: 68-45=23, Resulting Numbers: [23]
23,58 unequal: No Solution
Exploring Operation: 68*45=3060, Resulting Numbers: [3060]
3060,58 unequal: No Solution
Moving to Node #0,0,0
Current State: 58:[72, 41], Operations: ['69-42=27', '68-27=41']
Exploring Operation: 72-41=31, Resulting Numbers: [31]
31,58 unequal: No Solution
Exploring Operation: 72+41=113, Resulting Numbers: [113]
113,58 unequal: No Solution
Exploring Operation: 72*41=2952, Resulting Numbers: [2952]
2952,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
42,
63,
97,
93
] | 17 | [
"63-42=21",
"97-93=4",
"21-4=17"
] | Current State: 17:[42, 63, 97, 93], Operations: []
Exploring Operation: 63-42=21, Resulting Numbers: [97, 93, 21]
Generated Node #2: [97, 93, 21] from Operation: 63-42=21
Current State: 17:[97, 93, 21], Operations: ['63-42=21']
Exploring Operation: 97-93=4, Resulting Numbers: [21, 4]
Generated Node #3: [21, 4] from Operation: 97-93=4
Current State: 17:[21, 4], Operations: ['63-42=21', '97-93=4']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[42, 63, 97, 93], Operations: []
Exploring Operation: 97-63=34, Resulting Numbers: [42, 93, 34]
Generated Node #0,0: 17:[42, 93, 34] Operation: 97-63=34
Exploring Operation: 97-93=4, Resulting Numbers: [42, 63, 4]
Generated Node #0,1: 17:[42, 63, 4] Operation: 97-93=4
Moving to Node #0,1
Current State: 17:[42, 63, 4], Operations: ['97-93=4']
Exploring Operation: 42-4=38, Resulting Numbers: [63, 38]
Generated Node #0,1,0: 17:[63, 38] Operation: 42-4=38
Exploring Operation: 63-42=21, Resulting Numbers: [4, 21]
Generated Node #0,1,1: 17:[4, 21] Operation: 63-42=21
Moving to Node #0,0
Current State: 17:[42, 93, 34], Operations: ['97-63=34']
Exploring Operation: 93-42=51, Resulting Numbers: [34, 51]
Generated Node #0,0,0: 17:[34, 51] Operation: 93-42=51
Exploring Operation: 93-34=59, Resulting Numbers: [42, 59]
Generated Node #0,0,1: 17:[42, 59] Operation: 93-34=59
Moving to Node #0,1,1
Current State: 17:[4, 21], Operations: ['97-93=4', '63-42=21']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[42, 63, 97, 93], Operations: []
Exploring Operation: 97-93=4, Resulting Numbers: [42, 63, 4]
Generated Node #0,1: 17:[42, 63, 4] Operation: 97-93=4
Moving to Node #0,1
Current State: 17:[42, 63, 4], Operations: ['97-93=4']
Exploring Operation: 63-42=21, Resulting Numbers: [4, 21]
Generated Node #0,1,1: 17:[4, 21] Operation: 63-42=21
Moving to Node #0,1,1
Current State: 17:[4, 21], Operations: ['97-93=4', '63-42=21']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 0.990451 | hs_2 | sum_heuristic |
[
43,
78,
52,
32
] | 37 | [
"43+78=121",
"52+32=84",
"121-84=37"
] | Current State: 37:[43, 78, 52, 32], Operations: []
Exploring Operation: 43+78=121, Resulting Numbers: [52, 32, 121]
Generated Node #2: [52, 32, 121] from Operation: 43+78=121
Current State: 37:[52, 32, 121], Operations: ['43+78=121']
Exploring Operation: 52+32=84, Resulting Numbers: [121, 84]
Generated Node #3: [121, 84] from Operation: 52+32=84
Current State: 37:[121, 84], Operations: ['43+78=121', '52+32=84']
Exploring Operation: 121-84=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[43, 78, 52, 32], Operations: []
Exploring Operation: 78-43=35, Resulting Numbers: [52, 32, 35]
Generated Node #0,0: 37:[52, 32, 35] Operation: 78-43=35
Exploring Operation: 78-52=26, Resulting Numbers: [43, 32, 26]
Generated Node #0,1: 37:[43, 32, 26] Operation: 78-52=26
Exploring Operation: 78-32=46, Resulting Numbers: [43, 52, 46]
Generated Node #0,2: 37:[43, 52, 46] Operation: 78-32=46
Moving to Node #0,0
Current State: 37:[52, 32, 35], Operations: ['78-43=35']
Exploring Operation: 52-35=17, Resulting Numbers: [32, 17]
Generated Node #0,0,0: 37:[32, 17] Operation: 52-35=17
Exploring Operation: 52-32=20, Resulting Numbers: [35, 20]
Generated Node #0,0,1: 37:[35, 20] Operation: 52-32=20
Exploring Operation: 32+35=67, Resulting Numbers: [52, 67]
Generated Node #0,0,2: 37:[52, 67] Operation: 32+35=67
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 37:[35, 20], Operations: ['78-43=35', '52-32=20']
Exploring Operation: 35*20=700, Resulting Numbers: [700]
700,37 unequal: No Solution
Exploring Operation: 35+20=55, Resulting Numbers: [55]
55,37 unequal: No Solution
Exploring Operation: 35-20=15, Resulting Numbers: [15]
15,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[32, 17], Operations: ['78-43=35', '52-35=17']
Exploring Operation: 32+17=49, Resulting Numbers: [49]
49,37 unequal: No Solution
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,37 unequal: No Solution
Exploring Operation: 32*17=544, Resulting Numbers: [544]
544,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 37:[52, 67], Operations: ['78-43=35', '32+35=67']
Exploring Operation: 52+67=119, Resulting Numbers: [119]
119,37 unequal: No Solution
Exploring Operation: 52*67=3484, Resulting Numbers: [3484]
3484,37 unequal: No Solution
Exploring Operation: 67-52=15, Resulting Numbers: [15]
15,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 37:[43, 32, 26], Operations: ['78-52=26']
Exploring Operation: 43-32=11, Resulting Numbers: [26, 11]
Generated Node #0,1,0: 37:[26, 11] Operation: 43-32=11
Exploring Operation: 43-26=17, Resulting Numbers: [32, 17]
Generated Node #0,1,1: 37:[32, 17] Operation: 43-26=17
Exploring Operation: 32+26=58, Resulting Numbers: [43, 58]
Generated Node #0,1,2: 37:[43, 58] Operation: 32+26=58
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 37:[32, 17], Operations: ['78-52=26', '43-26=17']
Exploring Operation: 32*17=544, Resulting Numbers: [544]
544,37 unequal: No Solution
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,37 unequal: No Solution
Exploring Operation: 32+17=49, Resulting Numbers: [49]
49,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 37:[43, 58], Operations: ['78-52=26', '32+26=58']
Exploring Operation: 58-43=15, Resulting Numbers: [15]
15,37 unequal: No Solution
Exploring Operation: 43*58=2494, Resulting Numbers: [2494]
2494,37 unequal: No Solution
Exploring Operation: 43+58=101, Resulting Numbers: [101]
101,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 37:[26, 11], Operations: ['78-52=26', '43-32=11']
Exploring Operation: 26+11=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[43, 78, 52, 32], Operations: []
Exploring Operation: 78-52=26, Resulting Numbers: [43, 32, 26]
Generated Node #0,1: 37:[43, 32, 26] Operation: 78-52=26
Moving to Node #0,1
Current State: 37:[43, 32, 26], Operations: ['78-52=26']
Exploring Operation: 43-32=11, Resulting Numbers: [26, 11]
Generated Node #0,1,0: 37:[26, 11] Operation: 43-32=11
Moving to Node #0,1,0
Current State: 37:[26, 11], Operations: ['78-52=26', '43-32=11']
Exploring Operation: 26+11=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826 | hs_3 | mult_heuristic |
[
45,
10,
30,
54
] | 99 | [
"45+10=55",
"54*55=2970",
"2970/30=99"
] | Current State: 99:[45, 10, 30, 54], Operations: []
Exploring Operation: 45+10=55, Resulting Numbers: [30, 54, 55]
Generated Node #2: [30, 54, 55] from Operation: 45+10=55
Current State: 99:[30, 54, 55], Operations: ['45+10=55']
Exploring Operation: 54*55=2970, Resulting Numbers: [30, 2970]
Generated Node #3: [30, 2970] from Operation: 54*55=2970
Current State: 99:[30, 2970], Operations: ['45+10=55', '54*55=2970']
Exploring Operation: 2970/30=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[45, 10, 30, 54], Operations: []
Exploring Operation: 45+54=99, Resulting Numbers: [10, 30, 99]
Generated Node #0,0: 99:[10, 30, 99] Operation: 45+54=99
Exploring Operation: 54-30=24, Resulting Numbers: [45, 10, 24]
Generated Node #0,1: 99:[45, 10, 24] Operation: 54-30=24
Exploring Operation: 54-45=9, Resulting Numbers: [10, 30, 9]
Generated Node #0,2: 99:[10, 30, 9] Operation: 54-45=9
Moving to Node #0,0
Current State: 99:[10, 30, 99], Operations: ['45+54=99']
Exploring Operation: 30/10=3, Resulting Numbers: [99, 3]
Generated Node #0,0,0: 99:[99, 3] Operation: 30/10=3
Exploring Operation: 30-10=20, Resulting Numbers: [99, 20]
Generated Node #0,0,1: 99:[99, 20] Operation: 30-10=20
Exploring Operation: 10+30=40, Resulting Numbers: [99, 40]
Generated Node #0,0,2: 99:[99, 40] Operation: 10+30=40
Moving to Node #0,2
Current State: 99:[10, 30, 9], Operations: ['54-45=9']
Exploring Operation: 30/10=3, Resulting Numbers: [9, 3]
Generated Node #0,2,0: 99:[9, 3] Operation: 30/10=3
Exploring Operation: 10+30=40, Resulting Numbers: [9, 40]
Generated Node #0,2,1: 99:[9, 40] Operation: 10+30=40
Exploring Operation: 10-9=1, Resulting Numbers: [30, 1]
Generated Node #0,2,2: 99:[30, 1] Operation: 10-9=1
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 99:[9, 3], Operations: ['54-45=9', '30/10=3']
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,99 unequal: No Solution
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,99 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,99 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:[30, 1], Operations: ['54-45=9', '10-9=1']
Exploring Operation: 30*1=30, Resulting Numbers: [30]
30,99 unequal: No Solution
Exploring Operation: 30+1=31, Resulting Numbers: [31]
31,99 unequal: No Solution
Exploring Operation: 30/1=30, Resulting Numbers: [30]
30,99 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:[9, 40], Operations: ['54-45=9', '10+30=40']
Exploring Operation: 9+40=49, Resulting Numbers: [49]
49,99 unequal: No Solution
Exploring Operation: 40-9=31, Resulting Numbers: [31]
31,99 unequal: No Solution
Exploring Operation: 9*40=360, Resulting Numbers: [360]
360,99 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: 99:[45, 10, 24], Operations: ['54-30=24']
Exploring Operation: 45-24=21, Resulting Numbers: [10, 21]
Generated Node #0,1,0: 99:[10, 21] Operation: 45-24=21
Exploring Operation: 45-10=35, Resulting Numbers: [24, 35]
Generated Node #0,1,1: 99:[24, 35] Operation: 45-10=35
Exploring Operation: 10+24=34, Resulting Numbers: [45, 34]
Generated Node #0,1,2: 99:[45, 34] Operation: 10+24=34
Moving to Node #0,0,0
Current State: 99:[99, 3], Operations: ['45+54=99', '30/10=3']
Exploring Operation: 99+3=102, Resulting Numbers: [102]
102,99 unequal: No Solution
Exploring Operation: 99-3=96, Resulting Numbers: [96]
96,99 unequal: No Solution
Exploring Operation: 99/3=33, Resulting Numbers: [33]
33,99 unequal: No Solution
Moving to Node #0,0,2
Current State: 99:[99, 40], Operations: ['45+54=99', '10+30=40']
Exploring Operation: 99+40=139, Resulting Numbers: [139]
139,99 unequal: No Solution
Exploring Operation: 99*40=3960, Resulting Numbers: [3960]
3960,99 unequal: No Solution
Exploring Operation: 99-40=59, Resulting Numbers: [59]
59,99 unequal: No Solution
Moving to Node #0,0,1
Current State: 99:[99, 20], Operations: ['45+54=99', '30-10=20']
Exploring Operation: 99-20=79, Resulting Numbers: [79]
79,99 unequal: No Solution
Exploring Operation: 99+20=119, Resulting Numbers: [119]
119,99 unequal: No Solution
Exploring Operation: 99*20=1980, Resulting Numbers: [1980]
1980,99 unequal: No Solution
Moving to Node #0,1,1
Current State: 99:[24, 35], Operations: ['54-30=24', '45-10=35']
Exploring Operation: 24+35=59, Resulting Numbers: [59]
59,99 unequal: No Solution
Exploring Operation: 24*35=840, Resulting Numbers: [840]
840,99 unequal: No Solution
Exploring Operation: 35-24=11, Resulting Numbers: [11]
11,99 unequal: No Solution
Moving to Node #0,1,0
Current State: 99:[10, 21], Operations: ['54-30=24', '45-24=21']
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,99 unequal: No Solution
Exploring Operation: 10+21=31, Resulting Numbers: [31]
31,99 unequal: No Solution
Exploring Operation: 10*21=210, Resulting Numbers: [210]
210,99 unequal: No Solution
Moving to Node #0,1,2
Current State: 99:[45, 34], Operations: ['54-30=24', '10+24=34']
Exploring Operation: 45*34=1530, Resulting Numbers: [1530]
1530,99 unequal: No Solution
Exploring Operation: 45+34=79, Resulting Numbers: [79]
79,99 unequal: No Solution
Exploring Operation: 45-34=11, Resulting Numbers: [11]
11,99 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
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