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 |
|---|---|---|---|---|---|---|---|---|
[
24,
75,
78,
38
] | 45 | [
"24*75=1800",
"78-38=40",
"1800/40=45"
] | Current State: 45:[24, 75, 78, 38], Operations: []
Exploring Operation: 24*75=1800, Resulting Numbers: [78, 38, 1800]
Generated Node #2: [78, 38, 1800] from Operation: 24*75=1800
Current State: 45:[78, 38, 1800], Operations: ['24*75=1800']
Exploring Operation: 78-38=40, Resulting Numbers: [1800, 40]
Generated Node #3: [1800, 40] from Operation: 78-38=40
Current State: 45:[1800, 40], Operations: ['24*75=1800', '78-38=40']
Exploring Operation: 1800/40=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[24, 75, 78, 38], Operations: []
Exploring Operation: 78-24=54, Resulting Numbers: [75, 38, 54]
Generated Node #0,0: 45:[75, 38, 54] Operation: 78-24=54
Exploring Operation: 78-38=40, Resulting Numbers: [24, 75, 40]
Generated Node #0,1: 45:[24, 75, 40] Operation: 78-38=40
Exploring Operation: 75-24=51, Resulting Numbers: [78, 38, 51]
Generated Node #0,2: 45:[78, 38, 51] Operation: 75-24=51
Exploring Operation: 78-75=3, Resulting Numbers: [24, 38, 3]
Generated Node #0,3: 45:[24, 38, 3] Operation: 78-75=3
Start Sub Search at level 1: Moving to Node #0,3
Current State: 45:[24, 38, 3], Operations: ['78-75=3']
Exploring Operation: 24/3=8, Resulting Numbers: [38, 8]
Generated Node #0,3,0: 45:[38, 8] Operation: 24/3=8
Exploring Operation: 24-3=21, Resulting Numbers: [38, 21]
Generated Node #0,3,1: 45:[38, 21] Operation: 24-3=21
Exploring Operation: 38-24=14, Resulting Numbers: [3, 14]
Generated Node #0,3,2: 45:[3, 14] Operation: 38-24=14
Exploring Operation: 38+3=41, Resulting Numbers: [24, 41]
Generated Node #0,3,3: 45:[24, 41] Operation: 38+3=41
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 45:[3, 14], Operations: ['78-75=3', '38-24=14']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,45 unequal: No Solution
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 45:[38, 8], Operations: ['78-75=3', '24/3=8']
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,45 unequal: No Solution
Exploring Operation: 38*8=304, Resulting Numbers: [304]
304,45 unequal: No Solution
Exploring Operation: 38+8=46, Resulting Numbers: [46]
46,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 45:[38, 21], Operations: ['78-75=3', '24-3=21']
Exploring Operation: 38+21=59, Resulting Numbers: [59]
59,45 unequal: No Solution
Exploring Operation: 38*21=798, Resulting Numbers: [798]
798,45 unequal: No Solution
Exploring Operation: 38-21=17, Resulting Numbers: [17]
17,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 45:[24, 41], Operations: ['78-75=3', '38+3=41']
Exploring Operation: 24+41=65, Resulting Numbers: [65]
65,45 unequal: No Solution
Exploring Operation: 41-24=17, Resulting Numbers: [17]
17,45 unequal: No Solution
Exploring Operation: 24*41=984, Resulting Numbers: [984]
984,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 45:[24, 75, 40], Operations: ['78-38=40']
Exploring Operation: 40-24=16, Resulting Numbers: [75, 16]
Generated Node #0,1,0: 45:[75, 16] Operation: 40-24=16
Exploring Operation: 24+40=64, Resulting Numbers: [75, 64]
Generated Node #0,1,1: 45:[75, 64] Operation: 24+40=64
Exploring Operation: 75-40=35, Resulting Numbers: [24, 35]
Generated Node #0,1,2: 45:[24, 35] Operation: 75-40=35
Exploring Operation: 75-24=51, Resulting Numbers: [40, 51]
Generated Node #0,1,3: 45:[40, 51] Operation: 75-24=51
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 45:[40, 51], Operations: ['78-38=40', '75-24=51']
Exploring Operation: 40*51=2040, Resulting Numbers: [2040]
2040,45 unequal: No Solution
Exploring Operation: 40+51=91, Resulting Numbers: [91]
91,45 unequal: No Solution
Exploring Operation: 51-40=11, Resulting Numbers: [11]
11,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 45:[24, 35], Operations: ['78-38=40', '75-40=35']
Exploring Operation: 24+35=59, Resulting Numbers: [59]
59,45 unequal: No Solution
Exploring Operation: 35-24=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 24*35=840, Resulting Numbers: [840]
840,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 45:[75, 16], Operations: ['78-38=40', '40-24=16']
Exploring Operation: 75*16=1200, Resulting Numbers: [1200]
1200,45 unequal: No Solution
Exploring Operation: 75-16=59, Resulting Numbers: [59]
59,45 unequal: No Solution
Exploring Operation: 75+16=91, Resulting Numbers: [91]
91,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 45:[75, 64], Operations: ['78-38=40', '24+40=64']
Exploring Operation: 75+64=139, Resulting Numbers: [139]
139,45 unequal: No Solution
Exploring Operation: 75*64=4800, Resulting Numbers: [4800]
4800,45 unequal: No Solution
Exploring Operation: 75-64=11, Resulting Numbers: [11]
11,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 45:[75, 38, 54], Operations: ['78-24=54']
Exploring Operation: 75-38=37, Resulting Numbers: [54, 37]
Generated Node #0,0,0: 45:[54, 37] Operation: 75-38=37
Exploring Operation: 54-38=16, Resulting Numbers: [75, 16]
Generated Node #0,0,1: 45:[75, 16] Operation: 54-38=16
Exploring Operation: 75+38=113, Resulting Numbers: [54, 113]
Generated Node #0,0,2: 45:[54, 113] Operation: 75+38=113
Exploring Operation: 75-54=21, Resulting Numbers: [38, 21]
Generated Node #0,0,3: 45:[38, 21] Operation: 75-54=21
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 45:[38, 21], Operations: ['78-24=54', '75-54=21']
Exploring Operation: 38+21=59, Resulting Numbers: [59]
59,45 unequal: No Solution
Exploring Operation: 38*21=798, Resulting Numbers: [798]
798,45 unequal: No Solution
Exploring Operation: 38-21=17, Resulting Numbers: [17]
17,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 45:[54, 37], Operations: ['78-24=54', '75-38=37']
Exploring Operation: 54*37=1998, Resulting Numbers: [1998]
1998,45 unequal: No Solution
Exploring Operation: 54+37=91, Resulting Numbers: [91]
91,45 unequal: No Solution
Exploring Operation: 54-37=17, Resulting Numbers: [17]
17,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 45:[75, 16], Operations: ['78-24=54', '54-38=16']
Exploring Operation: 75-16=59, Resulting Numbers: [59]
59,45 unequal: No Solution
Exploring Operation: 75+16=91, Resulting Numbers: [91]
91,45 unequal: No Solution
Exploring Operation: 75*16=1200, Resulting Numbers: [1200]
1200,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 45:[54, 113], Operations: ['78-24=54', '75+38=113']
Exploring Operation: 113-54=59, Resulting Numbers: [59]
59,45 unequal: No Solution
Exploring Operation: 54*113=6102, Resulting Numbers: [6102]
6102,45 unequal: No Solution
Exploring Operation: 54+113=167, Resulting Numbers: [167]
167,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 45:[78, 38, 51], Operations: ['75-24=51']
Exploring Operation: 78-38=40, Resulting Numbers: [51, 40]
Generated Node #0,2,0: 45:[51, 40] Operation: 78-38=40
Exploring Operation: 78+38=116, Resulting Numbers: [51, 116]
Generated Node #0,2,1: 45:[51, 116] Operation: 78+38=116
Exploring Operation: 78-51=27, Resulting Numbers: [38, 27]
Generated Node #0,2,2: 45:[38, 27] Operation: 78-51=27
Exploring Operation: 51-38=13, Resulting Numbers: [78, 13]
Generated Node #0,2,3: 45:[78, 13] Operation: 51-38=13
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 45:[51, 40], Operations: ['75-24=51', '78-38=40']
Exploring Operation: 51-40=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 51+40=91, Resulting Numbers: [91]
91,45 unequal: No Solution
Exploring Operation: 51*40=2040, Resulting Numbers: [2040]
2040,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 45:[38, 27], Operations: ['75-24=51', '78-51=27']
Exploring Operation: 38+27=65, Resulting Numbers: [65]
65,45 unequal: No Solution
Exploring Operation: 38-27=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 38*27=1026, Resulting Numbers: [1026]
1026,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 45:[78, 13], Operations: ['75-24=51', '51-38=13']
Exploring Operation: 78-13=65, Resulting Numbers: [65]
65,45 unequal: No Solution
Exploring Operation: 78*13=1014, Resulting Numbers: [1014]
1014,45 unequal: No Solution
Exploring Operation: 78/13=6, Resulting Numbers: [6]
6,45 unequal: No Solution
Exploring Operation: 78+13=91, Resulting Numbers: [91]
91,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 45:[51, 116], Operations: ['75-24=51', '78+38=116']
Exploring Operation: 51*116=5916, Resulting Numbers: [5916]
5916,45 unequal: No Solution
Exploring Operation: 116-51=65, Resulting Numbers: [65]
65,45 unequal: No Solution
Exploring Operation: 51+116=167, Resulting Numbers: [167]
167,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
65,
1,
49,
98
] | 65 | [
"98/49=2",
"2-1=1",
"65*1=65"
] | Current State: 65:[65, 1, 49, 98], Operations: []
Exploring Operation: 98/49=2, Resulting Numbers: [65, 1, 2]
Generated Node #2: [65, 1, 2] from Operation: 98/49=2
Current State: 65:[65, 1, 2], Operations: ['98/49=2']
Exploring Operation: 2-1=1, Resulting Numbers: [65, 1]
Generated Node #3: [65, 1] from Operation: 2-1=1
Current State: 65:[65, 1], Operations: ['98/49=2', '2-1=1']
Exploring Operation: 65*1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[65, 1, 49, 98], Operations: []
Exploring Operation: 98/49=2, Resulting Numbers: [65, 1, 2]
Generated Node #0,0: 65:[65, 1, 2] Operation: 98/49=2
Moving to Node #0,0
Current State: 65:[65, 1, 2], Operations: ['98/49=2']
Exploring Operation: 1+2=3, Resulting Numbers: [65, 3]
Generated Node #0,0,0: 65:[65, 3] Operation: 1+2=3
Moving to Node #0,0,0
Current State: 65:[65, 3], Operations: ['98/49=2', '1+2=3']
Exploring Operation: 65+3=68, Resulting Numbers: [68]
68,65 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
15,
51,
8,
4
] | 62 | [
"15+51=66",
"8-4=4",
"66-4=62"
] | Current State: 62:[15, 51, 8, 4], Operations: []
Exploring Operation: 15+51=66, Resulting Numbers: [8, 4, 66]
Generated Node #2: [8, 4, 66] from Operation: 15+51=66
Current State: 62:[8, 4, 66], Operations: ['15+51=66']
Exploring Operation: 8-4=4, Resulting Numbers: [66, 4]
Generated Node #3: [66, 4] from Operation: 8-4=4
Current State: 62:[66, 4], Operations: ['15+51=66', '8-4=4']
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[15, 51, 8, 4], Operations: []
Exploring Operation: 51-15=36, Resulting Numbers: [8, 4, 36]
Generated Node #0,0: 62:[8, 4, 36] Operation: 51-15=36
Exploring Operation: 15-8=7, Resulting Numbers: [51, 4, 7]
Generated Node #0,1: 62:[51, 4, 7] Operation: 15-8=7
Exploring Operation: 51+8=59, Resulting Numbers: [15, 4, 59]
Generated Node #0,2: 62:[15, 4, 59] Operation: 51+8=59
Exploring Operation: 15*4=60, Resulting Numbers: [51, 8, 60]
Generated Node #0,3: 62:[51, 8, 60] Operation: 15*4=60
Exploring Operation: 15+51=66, Resulting Numbers: [8, 4, 66]
Generated Node #0,4: 62:[8, 4, 66] Operation: 15+51=66
Start Sub Search at level 1: Moving to Node #0,4
Current State: 62:[8, 4, 66], Operations: ['15+51=66']
Exploring Operation: 8/4=2, Resulting Numbers: [66, 2]
Generated Node #0,4,0: 62:[66, 2] Operation: 8/4=2
Exploring Operation: 66-8=58, Resulting Numbers: [4, 58]
Generated Node #0,4,1: 62:[4, 58] Operation: 66-8=58
Exploring Operation: 8*4=32, Resulting Numbers: [66, 32]
Generated Node #0,4,2: 62:[66, 32] Operation: 8*4=32
Exploring Operation: 8-4=4, Resulting Numbers: [66, 4]
Generated Node #0,4,3: 62:[66, 4] Operation: 8-4=4
Exploring Operation: 66-4=62, Resulting Numbers: [8, 62]
Generated Node #0,4,4: 62:[8, 62] Operation: 66-4=62
Moving to Node #0,4,0
Current State: 62:[66, 2], Operations: ['15+51=66', '8/4=2']
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,62 unequal: No Solution
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,62 unequal: No Solution
Exploring Operation: 66*2=132, Resulting Numbers: [132]
132,62 unequal: No Solution
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,62 unequal: No Solution
Moving to Node #0,4,2
Current State: 62:[66, 32], Operations: ['15+51=66', '8*4=32']
Exploring Operation: 66*32=2112, Resulting Numbers: [2112]
2112,62 unequal: No Solution
Exploring Operation: 66-32=34, Resulting Numbers: [34]
34,62 unequal: No Solution
Exploring Operation: 66+32=98, Resulting Numbers: [98]
98,62 unequal: No Solution
Moving to Node #0,4,1
Current State: 62:[4, 58], Operations: ['15+51=66', '66-8=58']
Exploring Operation: 58-4=54, Resulting Numbers: [54]
54,62 unequal: No Solution
Exploring Operation: 4+58=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[15, 51, 8, 4], Operations: []
Exploring Operation: 15+51=66, Resulting Numbers: [8, 4, 66]
Generated Node #0,4: 62:[8, 4, 66] Operation: 15+51=66
Moving to Node #0,4
Current State: 62:[8, 4, 66], Operations: ['15+51=66']
Exploring Operation: 66-8=58, Resulting Numbers: [4, 58]
Generated Node #0,4,1: 62:[4, 58] Operation: 66-8=58
Moving to Node #0,4,1
Current State: 62:[4, 58], Operations: ['15+51=66', '66-8=58']
Exploring Operation: 4+58=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
29,
18,
99,
16
] | 59 | [
"99*16=1584",
"1584/18=88",
"88-29=59"
] | Current State: 59:[29, 18, 99, 16], Operations: []
Exploring Operation: 99*16=1584, Resulting Numbers: [29, 18, 1584]
Generated Node #2: [29, 18, 1584] from Operation: 99*16=1584
Current State: 59:[29, 18, 1584], Operations: ['99*16=1584']
Exploring Operation: 1584/18=88, Resulting Numbers: [29, 88]
Generated Node #3: [29, 88] from Operation: 1584/18=88
Current State: 59:[29, 88], Operations: ['99*16=1584', '1584/18=88']
Exploring Operation: 88-29=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[29, 18, 99, 16], Operations: []
Exploring Operation: 29+18=47, Resulting Numbers: [99, 16, 47]
Generated Node #0,0: 59:[99, 16, 47] Operation: 29+18=47
Exploring Operation: 99-29=70, Resulting Numbers: [18, 16, 70]
Generated Node #0,1: 59:[18, 16, 70] Operation: 99-29=70
Exploring Operation: 18+16=34, Resulting Numbers: [29, 99, 34]
Generated Node #0,2: 59:[29, 99, 34] Operation: 18+16=34
Exploring Operation: 29+16=45, Resulting Numbers: [18, 99, 45]
Generated Node #0,3: 59:[18, 99, 45] Operation: 29+16=45
Exploring Operation: 99-18=81, Resulting Numbers: [29, 16, 81]
Generated Node #0,4: 59:[29, 16, 81] Operation: 99-18=81
Moving to Node #0,0
Current State: 59:[99, 16, 47], Operations: ['29+18=47']
Exploring Operation: 99-47=52, Resulting Numbers: [16, 52]
Generated Node #0,0,0: 59:[16, 52] Operation: 99-47=52
Exploring Operation: 47-16=31, Resulting Numbers: [99, 31]
Generated Node #0,0,1: 59:[99, 31] Operation: 47-16=31
Exploring Operation: 16+47=63, Resulting Numbers: [99, 63]
Generated Node #0,0,2: 59:[99, 63] Operation: 16+47=63
Exploring Operation: 99+16=115, Resulting Numbers: [47, 115]
Generated Node #0,0,3: 59:[47, 115] Operation: 99+16=115
Exploring Operation: 99-16=83, Resulting Numbers: [47, 83]
Generated Node #0,0,4: 59:[47, 83] Operation: 99-16=83
Moving to Node #0,2
Current State: 59:[29, 99, 34], Operations: ['18+16=34']
Exploring Operation: 99-29=70, Resulting Numbers: [34, 70]
Generated Node #0,2,0: 59:[34, 70] Operation: 99-29=70
Exploring Operation: 99-34=65, Resulting Numbers: [29, 65]
Generated Node #0,2,1: 59:[29, 65] Operation: 99-34=65
Exploring Operation: 29+34=63, Resulting Numbers: [99, 63]
Generated Node #0,2,2: 59:[99, 63] Operation: 29+34=63
Exploring Operation: 29+99=128, Resulting Numbers: [34, 128]
Generated Node #0,2,3: 59:[34, 128] Operation: 29+99=128
Exploring Operation: 34-29=5, Resulting Numbers: [99, 5]
Generated Node #0,2,4: 59:[99, 5] Operation: 34-29=5
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 59:[34, 70], Operations: ['18+16=34', '99-29=70']
Exploring Operation: 34+70=104, Resulting Numbers: [104]
104,59 unequal: No Solution
Exploring Operation: 70-34=36, Resulting Numbers: [36]
36,59 unequal: No Solution
Exploring Operation: 34*70=2380, Resulting Numbers: [2380]
2380,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 59:[29, 65], Operations: ['18+16=34', '99-34=65']
Exploring Operation: 29+65=94, Resulting Numbers: [94]
94,59 unequal: No Solution
Exploring Operation: 65-29=36, Resulting Numbers: [36]
36,59 unequal: No Solution
Exploring Operation: 29*65=1885, Resulting Numbers: [1885]
1885,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 59:[99, 63], Operations: ['18+16=34', '29+34=63']
Exploring Operation: 99-63=36, Resulting Numbers: [36]
36,59 unequal: No Solution
Exploring Operation: 99*63=6237, Resulting Numbers: [6237]
6237,59 unequal: No Solution
Exploring Operation: 99+63=162, Resulting Numbers: [162]
162,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 59:[34, 128], Operations: ['18+16=34', '29+99=128']
Exploring Operation: 34*128=4352, Resulting Numbers: [4352]
4352,59 unequal: No Solution
Exploring Operation: 128-34=94, Resulting Numbers: [94]
94,59 unequal: No Solution
Exploring Operation: 34+128=162, Resulting Numbers: [162]
162,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 59:[99, 5], Operations: ['18+16=34', '34-29=5']
Exploring Operation: 99-5=94, Resulting Numbers: [94]
94,59 unequal: No Solution
Exploring Operation: 99*5=495, Resulting Numbers: [495]
495,59 unequal: No Solution
Exploring Operation: 99+5=104, Resulting Numbers: [104]
104,59 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: 59:[29, 16, 81], Operations: ['99-18=81']
Exploring Operation: 81-16=65, Resulting Numbers: [29, 65]
Generated Node #0,4,0: 59:[29, 65] Operation: 81-16=65
Exploring Operation: 29+16=45, Resulting Numbers: [81, 45]
Generated Node #0,4,1: 59:[81, 45] Operation: 29+16=45
Exploring Operation: 81-29=52, Resulting Numbers: [16, 52]
Generated Node #0,4,2: 59:[16, 52] Operation: 81-29=52
Exploring Operation: 16+81=97, Resulting Numbers: [29, 97]
Generated Node #0,4,3: 59:[29, 97] Operation: 16+81=97
Exploring Operation: 29-16=13, Resulting Numbers: [81, 13]
Generated Node #0,4,4: 59:[81, 13] Operation: 29-16=13
Moving to Node #0,1
Current State: 59:[18, 16, 70], Operations: ['99-29=70']
Exploring Operation: 70-16=54, Resulting Numbers: [18, 54]
Generated Node #0,1,0: 59:[18, 54] Operation: 70-16=54
Exploring Operation: 18+16=34, Resulting Numbers: [70, 34]
Generated Node #0,1,1: 59:[70, 34] Operation: 18+16=34
Exploring Operation: 18-16=2, Resulting Numbers: [70, 2]
Generated Node #0,1,2: 59:[70, 2] Operation: 18-16=2
Exploring Operation: 70-18=52, Resulting Numbers: [16, 52]
Generated Node #0,1,3: 59:[16, 52] Operation: 70-18=52
Exploring Operation: 16+70=86, Resulting Numbers: [18, 86]
Generated Node #0,1,4: 59:[18, 86] Operation: 16+70=86
Moving to Node #0,3
Current State: 59:[18, 99, 45], Operations: ['29+16=45']
Exploring Operation: 99-18=81, Resulting Numbers: [45, 81]
Generated Node #0,3,0: 59:[45, 81] Operation: 99-18=81
Exploring Operation: 99-45=54, Resulting Numbers: [18, 54]
Generated Node #0,3,1: 59:[18, 54] Operation: 99-45=54
Exploring Operation: 18+99=117, Resulting Numbers: [45, 117]
Generated Node #0,3,2: 59:[45, 117] Operation: 18+99=117
Exploring Operation: 18+45=63, Resulting Numbers: [99, 63]
Generated Node #0,3,3: 59:[99, 63] Operation: 18+45=63
Exploring Operation: 45-18=27, Resulting Numbers: [99, 27]
Generated Node #0,3,4: 59:[99, 27] Operation: 45-18=27
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 59:[45, 81], Operations: ['29+16=45', '99-18=81']
Exploring Operation: 45+81=126, Resulting Numbers: [126]
126,59 unequal: No Solution
Exploring Operation: 81-45=36, Resulting Numbers: [36]
36,59 unequal: No Solution
Exploring Operation: 45*81=3645, Resulting Numbers: [3645]
3645,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 59:[99, 63], Operations: ['29+16=45', '18+45=63']
Exploring Operation: 99*63=6237, Resulting Numbers: [6237]
6237,59 unequal: No Solution
Exploring Operation: 99+63=162, Resulting Numbers: [162]
162,59 unequal: No Solution
Exploring Operation: 99-63=36, Resulting Numbers: [36]
36,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 59:[18, 54], Operations: ['29+16=45', '99-45=54']
Exploring Operation: 54/18=3, Resulting Numbers: [3]
3,59 unequal: No Solution
Exploring Operation: 18+54=72, Resulting Numbers: [72]
72,59 unequal: No Solution
Exploring Operation: 18*54=972, Resulting Numbers: [972]
972,59 unequal: No Solution
Exploring Operation: 54-18=36, Resulting Numbers: [36]
36,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 59:[45, 117], Operations: ['29+16=45', '18+99=117']
Exploring Operation: 45*117=5265, Resulting Numbers: [5265]
5265,59 unequal: No Solution
Exploring Operation: 117-45=72, Resulting Numbers: [72]
72,59 unequal: No Solution
Exploring Operation: 45+117=162, Resulting Numbers: [162]
162,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 59:[99, 27], Operations: ['29+16=45', '45-18=27']
Exploring Operation: 99+27=126, Resulting Numbers: [126]
126,59 unequal: No Solution
Exploring Operation: 99*27=2673, Resulting Numbers: [2673]
2673,59 unequal: No Solution
Exploring Operation: 99-27=72, Resulting Numbers: [72]
72,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,4
Current State: 59:[47, 83], Operations: ['29+18=47', '99-16=83']
Exploring Operation: 47*83=3901, Resulting Numbers: [3901]
3901,59 unequal: No Solution
Exploring Operation: 83-47=36, Resulting Numbers: [36]
36,59 unequal: No Solution
Exploring Operation: 47+83=130, Resulting Numbers: [130]
130,59 unequal: No Solution
Moving to Node #0,4,0
Current State: 59:[29, 65], Operations: ['99-18=81', '81-16=65']
Exploring Operation: 29*65=1885, Resulting Numbers: [1885]
1885,59 unequal: No Solution
Exploring Operation: 29+65=94, Resulting Numbers: [94]
94,59 unequal: No Solution
Exploring Operation: 65-29=36, Resulting Numbers: [36]
36,59 unequal: No Solution
Moving to Node #0,4,1
Current State: 59:[81, 45], Operations: ['99-18=81', '29+16=45']
Exploring Operation: 81*45=3645, Resulting Numbers: [3645]
3645,59 unequal: No Solution
Exploring Operation: 81-45=36, Resulting Numbers: [36]
36,59 unequal: No Solution
Exploring Operation: 81+45=126, Resulting Numbers: [126]
126,59 unequal: No Solution
Moving to Node #0,1,1
Current State: 59:[70, 34], Operations: ['99-29=70', '18+16=34']
Exploring Operation: 70-34=36, Resulting Numbers: [36]
36,59 unequal: No Solution
Exploring Operation: 70*34=2380, Resulting Numbers: [2380]
2380,59 unequal: No Solution
Exploring Operation: 70+34=104, Resulting Numbers: [104]
104,59 unequal: No Solution
Moving to Node #0,0,2
Current State: 59:[99, 63], Operations: ['29+18=47', '16+47=63']
Exploring Operation: 99+63=162, Resulting Numbers: [162]
162,59 unequal: No Solution
Exploring Operation: 99-63=36, Resulting Numbers: [36]
36,59 unequal: No Solution
Exploring Operation: 99*63=6237, Resulting Numbers: [6237]
6237,59 unequal: No Solution
Moving to Node #0,1,0
Current State: 59:[18, 54], Operations: ['99-29=70', '70-16=54']
Exploring Operation: 18+54=72, Resulting Numbers: [72]
72,59 unequal: No Solution
Exploring Operation: 54/18=3, Resulting Numbers: [3]
3,59 unequal: No Solution
Exploring Operation: 54-18=36, Resulting Numbers: [36]
36,59 unequal: No Solution
Exploring Operation: 18*54=972, Resulting Numbers: [972]
972,59 unequal: No Solution
Moving to Node #0,1,3
Current State: 59:[16, 52], Operations: ['99-29=70', '70-18=52']
Exploring Operation: 16*52=832, Resulting Numbers: [832]
832,59 unequal: No Solution
Exploring Operation: 52-16=36, Resulting Numbers: [36]
36,59 unequal: No Solution
Exploring Operation: 16+52=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Moving to Node #0,4,2
Current State: 59:[16, 52], Operations: ['99-18=81', '81-29=52']
Exploring Operation: 52-16=36, Resulting Numbers: [36]
36,59 unequal: No Solution
Exploring Operation: 16+52=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 16*52=832, Resulting Numbers: [832]
832,59 unequal: No Solution
Moving to Node #0,0,0
Current State: 59:[16, 52], Operations: ['29+18=47', '99-47=52']
Exploring Operation: 16+52=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 16*52=832, Resulting Numbers: [832]
832,59 unequal: No Solution
Exploring Operation: 52-16=36, Resulting Numbers: [36]
36,59 unequal: No Solution
Moving to Node #0,1,2
Current State: 59:[70, 2], Operations: ['99-29=70', '18-16=2']
Exploring Operation: 70*2=140, Resulting Numbers: [140]
140,59 unequal: No Solution
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 70+2=72, Resulting Numbers: [72]
72,59 unequal: No Solution
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,59 unequal: No Solution
Moving to Node #0,1,4
Current State: 59:[18, 86], Operations: ['99-29=70', '16+70=86']
Exploring Operation: 86-18=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 18*86=1548, Resulting Numbers: [1548]
1548,59 unequal: No Solution
Exploring Operation: 18+86=104, Resulting Numbers: [104]
104,59 unequal: No Solution
Moving to Node #0,4,4
Current State: 59:[81, 13], Operations: ['99-18=81', '29-16=13']
Exploring Operation: 81+13=94, Resulting Numbers: [94]
94,59 unequal: No Solution
Exploring Operation: 81-13=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 81*13=1053, Resulting Numbers: [1053]
1053,59 unequal: No Solution
Moving to Node #0,4,3
Current State: 59:[29, 97], Operations: ['99-18=81', '16+81=97']
Exploring Operation: 97-29=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 29*97=2813, Resulting Numbers: [2813]
2813,59 unequal: No Solution
Exploring Operation: 29+97=126, Resulting Numbers: [126]
126,59 unequal: No Solution
Moving to Node #0,0,3
Current State: 59:[47, 115], Operations: ['29+18=47', '99+16=115']
Exploring Operation: 115-47=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 47*115=5405, Resulting Numbers: [5405]
5405,59 unequal: No Solution
Exploring Operation: 47+115=162, Resulting Numbers: [162]
162,59 unequal: No Solution
Moving to Node #0,0,1
Current State: 59:[99, 31], Operations: ['29+18=47', '47-16=31']
Exploring Operation: 99*31=3069, Resulting Numbers: [3069]
3069,59 unequal: No Solution
Exploring Operation: 99+31=130, Resulting Numbers: [130]
130,59 unequal: No Solution
Exploring Operation: 99-31=68, Resulting Numbers: [68]
68,59 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
91,
20,
44,
87
] | 39 | [
"91-87=4",
"20/4=5",
"44-5=39"
] | Current State: 39:[91, 20, 44, 87], Operations: []
Exploring Operation: 91-87=4, Resulting Numbers: [20, 44, 4]
Generated Node #2: [20, 44, 4] from Operation: 91-87=4
Current State: 39:[20, 44, 4], Operations: ['91-87=4']
Exploring Operation: 20/4=5, Resulting Numbers: [44, 5]
Generated Node #3: [44, 5] from Operation: 20/4=5
Current State: 39:[44, 5], Operations: ['91-87=4', '20/4=5']
Exploring Operation: 44-5=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[91, 20, 44, 87], Operations: []
Exploring Operation: 91-44=47, Resulting Numbers: [20, 87, 47]
Generated Node #0,0: 39:[20, 87, 47] Operation: 91-44=47
Exploring Operation: 87-44=43, Resulting Numbers: [91, 20, 43]
Generated Node #0,1: 39:[91, 20, 43] Operation: 87-44=43
Exploring Operation: 91-87=4, Resulting Numbers: [20, 44, 4]
Generated Node #0,2: 39:[20, 44, 4] Operation: 91-87=4
Start Sub Search at level 1: Moving to Node #0,2
Current State: 39:[20, 44, 4], Operations: ['91-87=4']
Exploring Operation: 20/4=5, Resulting Numbers: [44, 5]
Generated Node #0,2,0: 39:[44, 5] Operation: 20/4=5
Exploring Operation: 44-4=40, Resulting Numbers: [20, 40]
Generated Node #0,2,1: 39:[20, 40] Operation: 44-4=40
Exploring Operation: 20-4=16, Resulting Numbers: [44, 16]
Generated Node #0,2,2: 39:[44, 16] Operation: 20-4=16
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 39:[44, 5], Operations: ['91-87=4', '20/4=5']
Exploring Operation: 44-5=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[91, 20, 44, 87], Operations: []
Exploring Operation: 91-87=4, Resulting Numbers: [20, 44, 4]
Generated Node #0,2: 39:[20, 44, 4] Operation: 91-87=4
Moving to Node #0,2
Current State: 39:[20, 44, 4], Operations: ['91-87=4']
Exploring Operation: 20/4=5, Resulting Numbers: [44, 5]
Generated Node #0,2,0: 39:[44, 5] Operation: 20/4=5
Moving to Node #0,2,0
Current State: 39:[44, 5], Operations: ['91-87=4', '20/4=5']
Exploring Operation: 44-5=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
54,
73,
72,
10
] | 65 | [
"54+73=127",
"72-10=62",
"127-62=65"
] | Current State: 65:[54, 73, 72, 10], Operations: []
Exploring Operation: 54+73=127, Resulting Numbers: [72, 10, 127]
Generated Node #2: [72, 10, 127] from Operation: 54+73=127
Current State: 65:[72, 10, 127], Operations: ['54+73=127']
Exploring Operation: 72-10=62, Resulting Numbers: [127, 62]
Generated Node #3: [127, 62] from Operation: 72-10=62
Current State: 65:[127, 62], Operations: ['54+73=127', '72-10=62']
Exploring Operation: 127-62=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[54, 73, 72, 10], Operations: []
Exploring Operation: 54+10=64, Resulting Numbers: [73, 72, 64]
Generated Node #0,0: 65:[73, 72, 64] Operation: 54+10=64
Exploring Operation: 72-54=18, Resulting Numbers: [73, 10, 18]
Generated Node #0,1: 65:[73, 10, 18] Operation: 72-54=18
Exploring Operation: 73-54=19, Resulting Numbers: [72, 10, 19]
Generated Node #0,2: 65:[72, 10, 19] Operation: 73-54=19
Moving to Node #0,0
Current State: 65:[73, 72, 64], Operations: ['54+10=64']
Exploring Operation: 72-64=8, Resulting Numbers: [73, 8]
Generated Node #0,0,0: 65:[73, 8] Operation: 72-64=8
Exploring Operation: 73-72=1, Resulting Numbers: [64, 1]
Generated Node #0,0,1: 65:[64, 1] Operation: 73-72=1
Exploring Operation: 73-64=9, Resulting Numbers: [72, 9]
Generated Node #0,0,2: 65:[72, 9] Operation: 73-64=9
Moving to Node #0,1
Current State: 65:[73, 10, 18], Operations: ['72-54=18']
Exploring Operation: 18-10=8, Resulting Numbers: [73, 8]
Generated Node #0,1,0: 65:[73, 8] Operation: 18-10=8
Exploring Operation: 73-10=63, Resulting Numbers: [18, 63]
Generated Node #0,1,1: 65:[18, 63] Operation: 73-10=63
Exploring Operation: 73-18=55, Resulting Numbers: [10, 55]
Generated Node #0,1,2: 65:[10, 55] Operation: 73-18=55
Moving to Node #0,2
Current State: 65:[72, 10, 19], Operations: ['73-54=19']
Exploring Operation: 72-19=53, Resulting Numbers: [10, 53]
Generated Node #0,2,0: 65:[10, 53] Operation: 72-19=53
Exploring Operation: 19-10=9, Resulting Numbers: [72, 9]
Generated Node #0,2,1: 65:[72, 9] Operation: 19-10=9
Exploring Operation: 72-10=62, Resulting Numbers: [19, 62]
Generated Node #0,2,2: 65:[19, 62] Operation: 72-10=62
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 65:[19, 62], Operations: ['73-54=19', '72-10=62']
Exploring Operation: 19*62=1178, Resulting Numbers: [1178]
1178,65 unequal: No Solution
Exploring Operation: 62-19=43, Resulting Numbers: [43]
43,65 unequal: No Solution
Exploring Operation: 19+62=81, Resulting Numbers: [81]
81,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 65:[72, 9], Operations: ['73-54=19', '19-10=9']
Exploring Operation: 72/9=8, Resulting Numbers: [8]
8,65 unequal: No Solution
Exploring Operation: 72-9=63, Resulting Numbers: [63]
63,65 unequal: No Solution
Exploring Operation: 72+9=81, Resulting Numbers: [81]
81,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 65:[10, 53], Operations: ['73-54=19', '72-19=53']
Exploring Operation: 10*53=530, Resulting Numbers: [530]
530,65 unequal: No Solution
Exploring Operation: 10+53=63, Resulting Numbers: [63]
63,65 unequal: No Solution
Exploring Operation: 53-10=43, Resulting Numbers: [43]
43,65 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: 65:[64, 1], Operations: ['54+10=64', '73-72=1']
Exploring Operation: 64/1=64, Resulting Numbers: [64]
64,65 unequal: No Solution
Exploring Operation: 64*1=64, Resulting Numbers: [64]
64,65 unequal: No Solution
Exploring Operation: 64+1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[54, 73, 72, 10], Operations: []
Exploring Operation: 54+10=64, Resulting Numbers: [73, 72, 64]
Generated Node #0,0: 65:[73, 72, 64] Operation: 54+10=64
Moving to Node #0,0
Current State: 65:[73, 72, 64], Operations: ['54+10=64']
Exploring Operation: 73-72=1, Resulting Numbers: [64, 1]
Generated Node #0,0,1: 65:[64, 1] Operation: 73-72=1
Moving to Node #0,0,1
Current State: 65:[64, 1], Operations: ['54+10=64', '73-72=1']
Exploring Operation: 64+1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 0.975694 | hs_3 | mult_heuristic |
[
15,
77,
62,
11
] | 43 | [
"15*77=1155",
"1155/11=105",
"105-62=43"
] | Current State: 43:[15, 77, 62, 11], Operations: []
Exploring Operation: 15*77=1155, Resulting Numbers: [62, 11, 1155]
Generated Node #2: [62, 11, 1155] from Operation: 15*77=1155
Current State: 43:[62, 11, 1155], Operations: ['15*77=1155']
Exploring Operation: 1155/11=105, Resulting Numbers: [62, 105]
Generated Node #3: [62, 105] from Operation: 1155/11=105
Current State: 43:[62, 105], Operations: ['15*77=1155', '1155/11=105']
Exploring Operation: 105-62=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[15, 77, 62, 11], Operations: []
Exploring Operation: 77-11=66, Resulting Numbers: [15, 62, 66]
Generated Node #0,0: 43:[15, 62, 66] Operation: 77-11=66
Exploring Operation: 77-15=62, Resulting Numbers: [62, 11, 62]
Generated Node #0,1: 43:[62, 11, 62] Operation: 77-15=62
Exploring Operation: 15+11=26, Resulting Numbers: [77, 62, 26]
Generated Node #0,2: 43:[77, 62, 26] Operation: 15+11=26
Exploring Operation: 62-15=47, Resulting Numbers: [77, 11, 47]
Generated Node #0,3: 43:[77, 11, 47] Operation: 62-15=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[15, 62, 66], Operations: ['77-11=66']
Exploring Operation: 15+66=81, Resulting Numbers: [62, 81]
Generated Node #0,0,0: 43:[62, 81] Operation: 15+66=81
Exploring Operation: 66-15=51, Resulting Numbers: [62, 51]
Generated Node #0,0,1: 43:[62, 51] Operation: 66-15=51
Exploring Operation: 15+62=77, Resulting Numbers: [66, 77]
Generated Node #0,0,2: 43:[66, 77] Operation: 15+62=77
Exploring Operation: 62-15=47, Resulting Numbers: [66, 47]
Generated Node #0,0,3: 43:[66, 47] Operation: 62-15=47
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 43:[62, 51], Operations: ['77-11=66', '66-15=51']
Exploring Operation: 62-51=11, Resulting Numbers: [11]
11,43 unequal: No Solution
Exploring Operation: 62*51=3162, Resulting Numbers: [3162]
3162,43 unequal: No Solution
Exploring Operation: 62+51=113, Resulting Numbers: [113]
113,43 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 #0,0,3
Current State: 43:[66, 47], Operations: ['77-11=66', '62-15=47']
Exploring Operation: 66*47=3102, Resulting Numbers: [3102]
3102,43 unequal: No Solution
Exploring Operation: 66+47=113, Resulting Numbers: [113]
113,43 unequal: No Solution
Exploring Operation: 66-47=19, Resulting Numbers: [19]
19,43 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:[62, 81], Operations: ['77-11=66', '15+66=81']
Exploring Operation: 81-62=19, Resulting Numbers: [19]
19,43 unequal: No Solution
Exploring Operation: 62*81=5022, Resulting Numbers: [5022]
5022,43 unequal: No Solution
Exploring Operation: 62+81=143, Resulting Numbers: [143]
143,43 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:[66, 77], Operations: ['77-11=66', '15+62=77']
Exploring Operation: 66*77=5082, Resulting Numbers: [5082]
5082,43 unequal: No Solution
Exploring Operation: 77-66=11, Resulting Numbers: [11]
11,43 unequal: No Solution
Exploring Operation: 66+77=143, Resulting Numbers: [143]
143,43 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:[62, 11, 62], Operations: ['77-15=62']
Exploring Operation: 62-11=51, Resulting Numbers: [62, 51]
Generated Node #0,1,0: 43:[62, 51] Operation: 62-11=51
Exploring Operation: 62+11=73, Resulting Numbers: [62, 73]
Generated Node #0,1,1: 43:[62, 73] Operation: 62+11=73
Exploring Operation: 62-11=51, Resulting Numbers: [62, 51]
Generated Node #0,1,2: 43:[62, 51] Operation: 62-11=51
Exploring Operation: 11+62=73, Resulting Numbers: [62, 73]
Generated Node #0,1,3: 43:[62, 73] Operation: 11+62=73
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 43:[62, 51], Operations: ['77-15=62', '62-11=51']
Exploring Operation: 62+51=113, Resulting Numbers: [113]
113,43 unequal: No Solution
Exploring Operation: 62*51=3162, Resulting Numbers: [3162]
3162,43 unequal: No Solution
Exploring Operation: 62-51=11, Resulting Numbers: [11]
11,43 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 #0,1,2
Current State: 43:[62, 51], Operations: ['77-15=62', '62-11=51']
Exploring Operation: 62+51=113, Resulting Numbers: [113]
113,43 unequal: No Solution
Exploring Operation: 62-51=11, Resulting Numbers: [11]
11,43 unequal: No Solution
Exploring Operation: 62*51=3162, Resulting Numbers: [3162]
3162,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 43:[62, 73], Operations: ['77-15=62', '62+11=73']
Exploring Operation: 73-62=11, Resulting Numbers: [11]
11,43 unequal: No Solution
Exploring Operation: 62*73=4526, Resulting Numbers: [4526]
4526,43 unequal: No Solution
Exploring Operation: 62+73=135, Resulting Numbers: [135]
135,43 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 #0,1,3
Current State: 43:[62, 73], Operations: ['77-15=62', '11+62=73']
Exploring Operation: 73-62=11, Resulting Numbers: [11]
11,43 unequal: No Solution
Exploring Operation: 62*73=4526, Resulting Numbers: [4526]
4526,43 unequal: No Solution
Exploring Operation: 62+73=135, Resulting Numbers: [135]
135,43 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 #0,2
Current State: 43:[77, 62, 26], Operations: ['15+11=26']
Exploring Operation: 77+26=103, Resulting Numbers: [62, 103]
Generated Node #0,2,0: 43:[62, 103] Operation: 77+26=103
Exploring Operation: 77-26=51, Resulting Numbers: [62, 51]
Generated Node #0,2,1: 43:[62, 51] Operation: 77-26=51
Exploring Operation: 62-26=36, Resulting Numbers: [77, 36]
Generated Node #0,2,2: 43:[77, 36] Operation: 62-26=36
Exploring Operation: 77-62=15, Resulting Numbers: [26, 15]
Generated Node #0,2,3: 43:[26, 15] Operation: 77-62=15
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 43:[62, 51], Operations: ['15+11=26', '77-26=51']
Exploring Operation: 62*51=3162, Resulting Numbers: [3162]
3162,43 unequal: No Solution
Exploring Operation: 62-51=11, Resulting Numbers: [11]
11,43 unequal: No Solution
Exploring Operation: 62+51=113, Resulting Numbers: [113]
113,43 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 #0,2,2
Current State: 43:[77, 36], Operations: ['15+11=26', '62-26=36']
Exploring Operation: 77*36=2772, Resulting Numbers: [2772]
2772,43 unequal: No Solution
Exploring Operation: 77+36=113, Resulting Numbers: [113]
113,43 unequal: No Solution
Exploring Operation: 77-36=41, Resulting Numbers: [41]
41,43 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 #0,2,3
Current State: 43:[26, 15], Operations: ['15+11=26', '77-62=15']
Exploring Operation: 26-15=11, Resulting Numbers: [11]
11,43 unequal: No Solution
Exploring Operation: 26*15=390, Resulting Numbers: [390]
390,43 unequal: No Solution
Exploring Operation: 26+15=41, Resulting Numbers: [41]
41,43 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 #0,2,0
Current State: 43:[62, 103], Operations: ['15+11=26', '77+26=103']
Exploring Operation: 103-62=41, Resulting Numbers: [41]
41,43 unequal: No Solution
Exploring Operation: 62+103=165, Resulting Numbers: [165]
165,43 unequal: No Solution
Exploring Operation: 62*103=6386, Resulting Numbers: [6386]
6386,43 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 #0,3
Current State: 43:[77, 11, 47], Operations: ['62-15=47']
Exploring Operation: 47-11=36, Resulting Numbers: [77, 36]
Generated Node #0,3,0: 43:[77, 36] Operation: 47-11=36
Exploring Operation: 77-11=66, Resulting Numbers: [47, 66]
Generated Node #0,3,1: 43:[47, 66] Operation: 77-11=66
Exploring Operation: 77-47=30, Resulting Numbers: [11, 30]
Generated Node #0,3,2: 43:[11, 30] Operation: 77-47=30
Exploring Operation: 77/11=7, Resulting Numbers: [47, 7]
Generated Node #0,3,3: 43:[47, 7] Operation: 77/11=7
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 43:[47, 66], Operations: ['62-15=47', '77-11=66']
Exploring Operation: 47+66=113, Resulting Numbers: [113]
113,43 unequal: No Solution
Exploring Operation: 66-47=19, Resulting Numbers: [19]
19,43 unequal: No Solution
Exploring Operation: 47*66=3102, Resulting Numbers: [3102]
3102,43 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 #0,3,3
Current State: 43:[47, 7], Operations: ['62-15=47', '77/11=7']
Exploring Operation: 47+7=54, Resulting Numbers: [54]
54,43 unequal: No Solution
Exploring Operation: 47*7=329, Resulting Numbers: [329]
329,43 unequal: No Solution
Exploring Operation: 47-7=40, Resulting Numbers: [40]
40,43 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 #0,3,0
Current State: 43:[77, 36], Operations: ['62-15=47', '47-11=36']
Exploring Operation: 77-36=41, Resulting Numbers: [41]
41,43 unequal: No Solution
Exploring Operation: 77+36=113, Resulting Numbers: [113]
113,43 unequal: No Solution
Exploring Operation: 77*36=2772, Resulting Numbers: [2772]
2772,43 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 #0,3,2
Current State: 43:[11, 30], Operations: ['62-15=47', '77-47=30']
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,43 unequal: No Solution
Exploring Operation: 11+30=41, Resulting Numbers: [41]
41,43 unequal: No Solution
Exploring Operation: 11*30=330, Resulting Numbers: [330]
330,43 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
No solution found.
| 0 | hs_4 | mult_heuristic |
[
91,
13,
10,
16
] | 33 | [
"91/13=7",
"10+16=26",
"7+26=33"
] | Current State: 33:[91, 13, 10, 16], Operations: []
Exploring Operation: 91/13=7, Resulting Numbers: [10, 16, 7]
Generated Node #2: [10, 16, 7] from Operation: 91/13=7
Current State: 33:[10, 16, 7], Operations: ['91/13=7']
Exploring Operation: 10+16=26, Resulting Numbers: [7, 26]
Generated Node #3: [7, 26] from Operation: 10+16=26
Current State: 33:[7, 26], Operations: ['91/13=7', '10+16=26']
Exploring Operation: 7+26=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[91, 13, 10, 16], Operations: []
Exploring Operation: 91/13=7, Resulting Numbers: [10, 16, 7]
Generated Node #0,0: 33:[10, 16, 7] Operation: 91/13=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[10, 16, 7], Operations: ['91/13=7']
Exploring Operation: 16-7=9, Resulting Numbers: [10, 9]
Generated Node #0,0,0: 33:[10, 9] Operation: 16-7=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 33:[10, 9], Operations: ['91/13=7', '16-7=9']
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
80,
86,
50,
47
] | 42 | [
"80*50=4000",
"86*47=4042",
"4042-4000=42"
] | Current State: 42:[80, 86, 50, 47], Operations: []
Exploring Operation: 80*50=4000, Resulting Numbers: [86, 47, 4000]
Generated Node #2: [86, 47, 4000] from Operation: 80*50=4000
Current State: 42:[86, 47, 4000], Operations: ['80*50=4000']
Exploring Operation: 86*47=4042, Resulting Numbers: [4000, 4042]
Generated Node #3: [4000, 4042] from Operation: 86*47=4042
Current State: 42:[4000, 4042], Operations: ['80*50=4000', '86*47=4042']
Exploring Operation: 4042-4000=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[80, 86, 50, 47], Operations: []
Exploring Operation: 86-80=6, Resulting Numbers: [50, 47, 6]
Generated Node #0,0: 42:[50, 47, 6] Operation: 86-80=6
Exploring Operation: 86-50=36, Resulting Numbers: [80, 47, 36]
Generated Node #0,1: 42:[80, 47, 36] Operation: 86-50=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[50, 47, 6], Operations: ['86-80=6']
Exploring Operation: 50-6=44, Resulting Numbers: [47, 44]
Generated Node #0,0,0: 42:[47, 44] Operation: 50-6=44
Exploring Operation: 50-47=3, Resulting Numbers: [6, 3]
Generated Node #0,0,1: 42:[6, 3] Operation: 50-47=3
Moving to Node #0,0,1
Current State: 42:[6, 3], Operations: ['86-80=6', '50-47=3']
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,42 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,42 unequal: No Solution
Moving to Node #0,0,0
Current State: 42:[47, 44], Operations: ['86-80=6', '50-6=44']
Exploring Operation: 47-44=3, Resulting Numbers: [3]
3,42 unequal: No Solution
Exploring Operation: 47+44=91, Resulting Numbers: [91]
91,42 unequal: No Solution
No 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: 42:[80, 47, 36], Operations: ['86-50=36']
Exploring Operation: 80-36=44, Resulting Numbers: [47, 44]
Generated Node #0,1,0: 42:[47, 44] Operation: 80-36=44
Exploring Operation: 80-47=33, Resulting Numbers: [36, 33]
Generated Node #0,1,1: 42:[36, 33] Operation: 80-47=33
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 42:[47, 44], Operations: ['86-50=36', '80-36=44']
Exploring Operation: 47-44=3, Resulting Numbers: [3]
3,42 unequal: No Solution
Exploring Operation: 47+44=91, Resulting Numbers: [91]
91,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 42:[36, 33], Operations: ['86-50=36', '80-47=33']
Exploring Operation: 36+33=69, Resulting Numbers: [69]
69,42 unequal: No Solution
Exploring Operation: 36-33=3, Resulting Numbers: [3]
3,42 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 |
[
77,
15,
35,
50
] | 63 | [
"77-50=27",
"35*27=945",
"945/15=63"
] | Current State: 63:[77, 15, 35, 50], Operations: []
Exploring Operation: 77-50=27, Resulting Numbers: [15, 35, 27]
Generated Node #2: [15, 35, 27] from Operation: 77-50=27
Current State: 63:[15, 35, 27], Operations: ['77-50=27']
Exploring Operation: 35*27=945, Resulting Numbers: [15, 945]
Generated Node #3: [15, 945] from Operation: 35*27=945
Current State: 63:[15, 945], Operations: ['77-50=27', '35*27=945']
Exploring Operation: 945/15=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[77, 15, 35, 50], Operations: []
Exploring Operation: 77-50=27, Resulting Numbers: [15, 35, 27]
Generated Node #0,0: 63:[15, 35, 27] Operation: 77-50=27
Exploring Operation: 77-15=62, Resulting Numbers: [35, 50, 62]
Generated Node #0,1: 63:[35, 50, 62] Operation: 77-15=62
Exploring Operation: 50-35=15, Resulting Numbers: [77, 15, 15]
Generated Node #0,2: 63:[77, 15, 15] Operation: 50-35=15
Exploring Operation: 15+50=65, Resulting Numbers: [77, 35, 65]
Generated Node #0,3: 63:[77, 35, 65] Operation: 15+50=65
Exploring Operation: 35-15=20, Resulting Numbers: [77, 50, 20]
Generated Node #0,4: 63:[77, 50, 20] Operation: 35-15=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[15, 35, 27], Operations: ['77-50=27']
Exploring Operation: 35-15=20, Resulting Numbers: [27, 20]
Generated Node #0,0,0: 63:[27, 20] Operation: 35-15=20
Exploring Operation: 35-27=8, Resulting Numbers: [15, 8]
Generated Node #0,0,1: 63:[15, 8] Operation: 35-27=8
Exploring Operation: 35+27=62, Resulting Numbers: [15, 62]
Generated Node #0,0,2: 63:[15, 62] Operation: 35+27=62
Exploring Operation: 15+35=50, Resulting Numbers: [27, 50]
Generated Node #0,0,3: 63:[27, 50] Operation: 15+35=50
Exploring Operation: 27-15=12, Resulting Numbers: [35, 12]
Generated Node #0,0,4: 63:[35, 12] Operation: 27-15=12
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 63:[27, 20], Operations: ['77-50=27', '35-15=20']
Exploring Operation: 27+20=47, Resulting Numbers: [47]
47,63 unequal: No Solution
Exploring Operation: 27-20=7, Resulting Numbers: [7]
7,63 unequal: No Solution
Exploring Operation: 27*20=540, Resulting Numbers: [540]
540,63 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 #0,0,1
Current State: 63:[15, 8], Operations: ['77-50=27', '35-27=8']
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,63 unequal: No Solution
Exploring Operation: 15*8=120, Resulting Numbers: [120]
120,63 unequal: No Solution
Exploring Operation: 15+8=23, Resulting Numbers: [23]
23,63 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 #0,0,2
Current State: 63:[15, 62], Operations: ['77-50=27', '35+27=62']
Exploring Operation: 15*62=930, Resulting Numbers: [930]
930,63 unequal: No Solution
Exploring Operation: 62-15=47, Resulting Numbers: [47]
47,63 unequal: No Solution
Exploring Operation: 15+62=77, Resulting Numbers: [77]
77,63 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 #0,0,4
Current State: 63:[35, 12], Operations: ['77-50=27', '27-15=12']
Exploring Operation: 35-12=23, Resulting Numbers: [23]
23,63 unequal: No Solution
Exploring Operation: 35*12=420, Resulting Numbers: [420]
420,63 unequal: No Solution
Exploring Operation: 35+12=47, Resulting Numbers: [47]
47,63 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 #0,0,3
Current State: 63:[27, 50], Operations: ['77-50=27', '15+35=50']
Exploring Operation: 27+50=77, Resulting Numbers: [77]
77,63 unequal: No Solution
Exploring Operation: 50-27=23, Resulting Numbers: [23]
23,63 unequal: No Solution
Exploring Operation: 27*50=1350, Resulting Numbers: [1350]
1350,63 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: 63:[77, 15, 15], Operations: ['50-35=15']
Exploring Operation: 15/15=1, Resulting Numbers: [77, 1]
Generated Node #0,2,0: 63:[77, 1] Operation: 15/15=1
Exploring Operation: 15-15=0, Resulting Numbers: [77, 0]
Generated Node #0,2,1: 63:[77, 0] Operation: 15-15=0
Exploring Operation: 77-15=62, Resulting Numbers: [15, 62]
Generated Node #0,2,2: 63:[15, 62] Operation: 77-15=62
Exploring Operation: 77-15=62, Resulting Numbers: [15, 62]
Generated Node #0,2,3: 63:[15, 62] Operation: 77-15=62
Exploring Operation: 15+15=30, Resulting Numbers: [77, 30]
Generated Node #0,2,4: 63:[77, 30] Operation: 15+15=30
Moving to Node #0,2,2
Current State: 63:[15, 62], Operations: ['50-35=15', '77-15=62']
Exploring Operation: 62-15=47, Resulting Numbers: [47]
47,63 unequal: No Solution
Exploring Operation: 15+62=77, Resulting Numbers: [77]
77,63 unequal: No Solution
Exploring Operation: 15*62=930, Resulting Numbers: [930]
930,63 unequal: No Solution
Moving to Node #0,2,3
Current State: 63:[15, 62], Operations: ['50-35=15', '77-15=62']
Exploring Operation: 15*62=930, Resulting Numbers: [930]
930,63 unequal: No Solution
Exploring Operation: 15+62=77, Resulting Numbers: [77]
77,63 unequal: No Solution
Exploring Operation: 62-15=47, Resulting Numbers: [47]
47,63 unequal: No Solution
Moving to Node #0,2,0
Current State: 63:[77, 1], Operations: ['50-35=15', '15/15=1']
Exploring Operation: 77/1=77, Resulting Numbers: [77]
77,63 unequal: No Solution
Exploring Operation: 77+1=78, Resulting Numbers: [78]
78,63 unequal: No Solution
Exploring Operation: 77*1=77, Resulting Numbers: [77]
77,63 unequal: No Solution
Exploring Operation: 77-1=76, Resulting Numbers: [76]
76,63 unequal: No Solution
Moving to Node #0,2,1
Current State: 63:[77, 0], Operations: ['50-35=15', '15-15=0']
Exploring Operation: 77*0=0, Resulting Numbers: [0]
0,63 unequal: No Solution
Exploring Operation: 77-0=77, Resulting Numbers: [77]
77,63 unequal: No Solution
Exploring Operation: 77+0=77, Resulting Numbers: [77]
77,63 unequal: No Solution
Moving to Node #0,2,4
Current State: 63:[77, 30], Operations: ['50-35=15', '15+15=30']
Exploring Operation: 77-30=47, Resulting Numbers: [47]
47,63 unequal: No Solution
Exploring Operation: 77+30=107, Resulting Numbers: [107]
107,63 unequal: No Solution
Exploring Operation: 77*30=2310, Resulting Numbers: [2310]
2310,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 63:[35, 50, 62], Operations: ['77-15=62']
Exploring Operation: 62-50=12, Resulting Numbers: [35, 12]
Generated Node #0,1,0: 63:[35, 12] Operation: 62-50=12
Exploring Operation: 62-35=27, Resulting Numbers: [50, 27]
Generated Node #0,1,1: 63:[50, 27] Operation: 62-35=27
Exploring Operation: 50-35=15, Resulting Numbers: [62, 15]
Generated Node #0,1,2: 63:[62, 15] Operation: 50-35=15
Exploring Operation: 35+50=85, Resulting Numbers: [62, 85]
Generated Node #0,1,3: 63:[62, 85] Operation: 35+50=85
Exploring Operation: 35+62=97, Resulting Numbers: [50, 97]
Generated Node #0,1,4: 63:[50, 97] Operation: 35+62=97
Moving to Node #0,1,2
Current State: 63:[62, 15], Operations: ['77-15=62', '50-35=15']
Exploring Operation: 62-15=47, Resulting Numbers: [47]
47,63 unequal: No Solution
Exploring Operation: 62+15=77, Resulting Numbers: [77]
77,63 unequal: No Solution
Exploring Operation: 62*15=930, Resulting Numbers: [930]
930,63 unequal: No Solution
Moving to Node #0,1,0
Current State: 63:[35, 12], Operations: ['77-15=62', '62-50=12']
Exploring Operation: 35+12=47, Resulting Numbers: [47]
47,63 unequal: No Solution
Exploring Operation: 35*12=420, Resulting Numbers: [420]
420,63 unequal: No Solution
Exploring Operation: 35-12=23, Resulting Numbers: [23]
23,63 unequal: No Solution
Moving to Node #0,1,1
Current State: 63:[50, 27], Operations: ['77-15=62', '62-35=27']
Exploring Operation: 50-27=23, Resulting Numbers: [23]
23,63 unequal: No Solution
Exploring Operation: 50+27=77, Resulting Numbers: [77]
77,63 unequal: No Solution
Exploring Operation: 50*27=1350, Resulting Numbers: [1350]
1350,63 unequal: No Solution
Moving to Node #0,1,3
Current State: 63:[62, 85], Operations: ['77-15=62', '35+50=85']
Exploring Operation: 62*85=5270, Resulting Numbers: [5270]
5270,63 unequal: No Solution
Exploring Operation: 85-62=23, Resulting Numbers: [23]
23,63 unequal: No Solution
Exploring Operation: 62+85=147, Resulting Numbers: [147]
147,63 unequal: No Solution
Moving to Node #0,1,4
Current State: 63:[50, 97], Operations: ['77-15=62', '35+62=97']
Exploring Operation: 50+97=147, Resulting Numbers: [147]
147,63 unequal: No Solution
Exploring Operation: 97-50=47, Resulting Numbers: [47]
47,63 unequal: No Solution
Exploring Operation: 50*97=4850, Resulting Numbers: [4850]
4850,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 63:[77, 50, 20], Operations: ['35-15=20']
Exploring Operation: 77-50=27, Resulting Numbers: [20, 27]
Generated Node #0,4,0: 63:[20, 27] Operation: 77-50=27
Exploring Operation: 50+20=70, Resulting Numbers: [77, 70]
Generated Node #0,4,1: 63:[77, 70] Operation: 50+20=70
Exploring Operation: 50-20=30, Resulting Numbers: [77, 30]
Generated Node #0,4,2: 63:[77, 30] Operation: 50-20=30
Exploring Operation: 77+20=97, Resulting Numbers: [50, 97]
Generated Node #0,4,3: 63:[50, 97] Operation: 77+20=97
Exploring Operation: 77-20=57, Resulting Numbers: [50, 57]
Generated Node #0,4,4: 63:[50, 57] Operation: 77-20=57
Moving to Node #0,4,0
Current State: 63:[20, 27], Operations: ['35-15=20', '77-50=27']
Exploring Operation: 20+27=47, Resulting Numbers: [47]
47,63 unequal: No Solution
Exploring Operation: 27-20=7, Resulting Numbers: [7]
7,63 unequal: No Solution
Exploring Operation: 20*27=540, Resulting Numbers: [540]
540,63 unequal: No Solution
Moving to Node #0,4,4
Current State: 63:[50, 57], Operations: ['35-15=20', '77-20=57']
Exploring Operation: 50+57=107, Resulting Numbers: [107]
107,63 unequal: No Solution
Exploring Operation: 50*57=2850, Resulting Numbers: [2850]
2850,63 unequal: No Solution
Exploring Operation: 57-50=7, Resulting Numbers: [7]
7,63 unequal: No Solution
Moving to Node #0,4,1
Current State: 63:[77, 70], Operations: ['35-15=20', '50+20=70']
Exploring Operation: 77*70=5390, Resulting Numbers: [5390]
5390,63 unequal: No Solution
Exploring Operation: 77-70=7, Resulting Numbers: [7]
7,63 unequal: No Solution
Exploring Operation: 77+70=147, Resulting Numbers: [147]
147,63 unequal: No Solution
Moving to Node #0,4,2
Current State: 63:[77, 30], Operations: ['35-15=20', '50-20=30']
Exploring Operation: 77+30=107, Resulting Numbers: [107]
107,63 unequal: No Solution
Exploring Operation: 77*30=2310, Resulting Numbers: [2310]
2310,63 unequal: No Solution
Exploring Operation: 77-30=47, Resulting Numbers: [47]
47,63 unequal: No Solution
Moving to Node #0,4,3
Current State: 63:[50, 97], Operations: ['35-15=20', '77+20=97']
Exploring Operation: 50+97=147, Resulting Numbers: [147]
147,63 unequal: No Solution
Exploring Operation: 97-50=47, Resulting Numbers: [47]
47,63 unequal: No Solution
Exploring Operation: 50*97=4850, Resulting Numbers: [4850]
4850,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 63:[77, 35, 65], Operations: ['15+50=65']
Exploring Operation: 77-35=42, Resulting Numbers: [65, 42]
Generated Node #0,3,0: 63:[65, 42] Operation: 77-35=42
Exploring Operation: 35+65=100, Resulting Numbers: [77, 100]
Generated Node #0,3,1: 63:[77, 100] Operation: 35+65=100
Exploring Operation: 77-65=12, Resulting Numbers: [35, 12]
Generated Node #0,3,2: 63:[35, 12] Operation: 77-65=12
Exploring Operation: 65-35=30, Resulting Numbers: [77, 30]
Generated Node #0,3,3: 63:[77, 30] Operation: 65-35=30
Exploring Operation: 77+35=112, Resulting Numbers: [65, 112]
Generated Node #0,3,4: 63:[65, 112] Operation: 77+35=112
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 63:[35, 12], Operations: ['15+50=65', '77-65=12']
Exploring Operation: 35*12=420, Resulting Numbers: [420]
420,63 unequal: No Solution
Exploring Operation: 35+12=47, Resulting Numbers: [47]
47,63 unequal: No Solution
Exploring Operation: 35-12=23, Resulting Numbers: [23]
23,63 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 #0,3,0
Current State: 63:[65, 42], Operations: ['15+50=65', '77-35=42']
Exploring Operation: 65*42=2730, Resulting Numbers: [2730]
2730,63 unequal: No Solution
Exploring Operation: 65+42=107, Resulting Numbers: [107]
107,63 unequal: No Solution
Exploring Operation: 65-42=23, Resulting Numbers: [23]
23,63 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 #0,3,3
Current State: 63:[77, 30], Operations: ['15+50=65', '65-35=30']
Exploring Operation: 77*30=2310, Resulting Numbers: [2310]
2310,63 unequal: No Solution
Exploring Operation: 77-30=47, Resulting Numbers: [47]
47,63 unequal: No Solution
Exploring Operation: 77+30=107, Resulting Numbers: [107]
107,63 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 #0,3,1
Current State: 63:[77, 100], Operations: ['15+50=65', '35+65=100']
Exploring Operation: 77*100=7700, Resulting Numbers: [7700]
7700,63 unequal: No Solution
Exploring Operation: 77+100=177, Resulting Numbers: [177]
177,63 unequal: No Solution
Exploring Operation: 100-77=23, Resulting Numbers: [23]
23,63 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 #0,3,4
Current State: 63:[65, 112], Operations: ['15+50=65', '77+35=112']
Exploring Operation: 65+112=177, Resulting Numbers: [177]
177,63 unequal: No Solution
Exploring Operation: 112-65=47, Resulting Numbers: [47]
47,63 unequal: No Solution
Exploring Operation: 65*112=7280, Resulting Numbers: [7280]
7280,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
51,
4,
13,
34
] | 55 | [
"51-34=17",
"4*17=68",
"68-13=55"
] | Current State: 55:[51, 4, 13, 34], Operations: []
Exploring Operation: 51-34=17, Resulting Numbers: [4, 13, 17]
Generated Node #2: [4, 13, 17] from Operation: 51-34=17
Current State: 55:[4, 13, 17], Operations: ['51-34=17']
Exploring Operation: 4*17=68, Resulting Numbers: [13, 68]
Generated Node #3: [13, 68] from Operation: 4*17=68
Current State: 55:[13, 68], Operations: ['51-34=17', '4*17=68']
Exploring Operation: 68-13=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[51, 4, 13, 34], Operations: []
Exploring Operation: 51+4=55, Resulting Numbers: [13, 34, 55]
Generated Node #0,0: 55:[13, 34, 55] Operation: 51+4=55
Exploring Operation: 13+34=47, Resulting Numbers: [51, 4, 47]
Generated Node #0,1: 55:[51, 4, 47] Operation: 13+34=47
Exploring Operation: 51-34=17, Resulting Numbers: [4, 13, 17]
Generated Node #0,2: 55:[4, 13, 17] Operation: 51-34=17
Exploring Operation: 34-13=21, Resulting Numbers: [51, 4, 21]
Generated Node #0,3: 55:[51, 4, 21] Operation: 34-13=21
Moving to Node #0,2
Current State: 55:[4, 13, 17], Operations: ['51-34=17']
Exploring Operation: 4*13=52, Resulting Numbers: [17, 52]
Generated Node #0,2,0: 55:[17, 52] Operation: 4*13=52
Exploring Operation: 13-4=9, Resulting Numbers: [17, 9]
Generated Node #0,2,1: 55:[17, 9] Operation: 13-4=9
Exploring Operation: 17-4=13, Resulting Numbers: [13, 13]
Generated Node #0,2,2: 55:[13, 13] Operation: 17-4=13
Exploring Operation: 17-13=4, Resulting Numbers: [4, 4]
Generated Node #0,2,3: 55:[4, 4] Operation: 17-13=4
Moving to Node #0,1
Current State: 55:[51, 4, 47], Operations: ['13+34=47']
Exploring Operation: 4+47=51, Resulting Numbers: [51, 51]
Generated Node #0,1,0: 55:[51, 51] Operation: 4+47=51
Exploring Operation: 51+4=55, Resulting Numbers: [47, 55]
Generated Node #0,1,1: 55:[47, 55] Operation: 51+4=55
Exploring Operation: 51-4=47, Resulting Numbers: [47, 47]
Generated Node #0,1,2: 55:[47, 47] Operation: 51-4=47
Exploring Operation: 51-47=4, Resulting Numbers: [4, 4]
Generated Node #0,1,3: 55:[4, 4] Operation: 51-47=4
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 55:[4, 4], Operations: ['13+34=47', '51-47=4']
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,55 unequal: No Solution
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,55 unequal: No Solution
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,55 unequal: No Solution
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,55 unequal: No Solution
No 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: 55:[51, 51], Operations: ['13+34=47', '4+47=51']
Exploring Operation: 51/51=1, Resulting Numbers: [1]
1,55 unequal: No Solution
Exploring Operation: 51+51=102, Resulting Numbers: [102]
102,55 unequal: No Solution
Exploring Operation: 51*51=2601, Resulting Numbers: [2601]
2601,55 unequal: No Solution
Exploring Operation: 51-51=0, Resulting Numbers: [0]
0,55 unequal: No Solution
No 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: 55:[47, 55], Operations: ['13+34=47', '51+4=55']
Exploring Operation: 47*55=2585, Resulting Numbers: [2585]
2585,55 unequal: No Solution
Exploring Operation: 47+55=102, Resulting Numbers: [102]
102,55 unequal: No Solution
Exploring Operation: 55-47=8, Resulting Numbers: [8]
8,55 unequal: No Solution
No 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: 55:[47, 47], Operations: ['13+34=47', '51-4=47']
Exploring Operation: 47*47=2209, Resulting Numbers: [2209]
2209,55 unequal: No Solution
Exploring Operation: 47/47=1, Resulting Numbers: [1]
1,55 unequal: No Solution
Exploring Operation: 47-47=0, Resulting Numbers: [0]
0,55 unequal: No Solution
Exploring Operation: 47+47=94, Resulting Numbers: [94]
94,55 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: 55:[51, 4, 21], Operations: ['34-13=21']
Exploring Operation: 51+21=72, Resulting Numbers: [4, 72]
Generated Node #0,3,0: 55:[4, 72] Operation: 51+21=72
Exploring Operation: 21-4=17, Resulting Numbers: [51, 17]
Generated Node #0,3,1: 55:[51, 17] Operation: 21-4=17
Exploring Operation: 51-4=47, Resulting Numbers: [21, 47]
Generated Node #0,3,2: 55:[21, 47] Operation: 51-4=47
Exploring Operation: 51+4=55, Resulting Numbers: [21, 55]
Generated Node #0,3,3: 55:[21, 55] Operation: 51+4=55
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 55:[51, 17], Operations: ['34-13=21', '21-4=17']
Exploring Operation: 51-17=34, Resulting Numbers: [34]
34,55 unequal: No Solution
Exploring Operation: 51*17=867, Resulting Numbers: [867]
867,55 unequal: No Solution
Exploring Operation: 51+17=68, Resulting Numbers: [68]
68,55 unequal: No Solution
Exploring Operation: 51/17=3, Resulting Numbers: [3]
3,55 unequal: No Solution
No 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: 55:[21, 55], Operations: ['34-13=21', '51+4=55']
Exploring Operation: 21*55=1155, Resulting Numbers: [1155]
1155,55 unequal: No Solution
Exploring Operation: 21+55=76, Resulting Numbers: [76]
76,55 unequal: No Solution
Exploring Operation: 55-21=34, Resulting Numbers: [34]
34,55 unequal: No Solution
No 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: 55:[4, 72], Operations: ['34-13=21', '51+21=72']
Exploring Operation: 72-4=68, Resulting Numbers: [68]
68,55 unequal: No Solution
Exploring Operation: 4+72=76, Resulting Numbers: [76]
76,55 unequal: No Solution
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,55 unequal: No Solution
Exploring Operation: 4*72=288, Resulting Numbers: [288]
288,55 unequal: No Solution
No 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: 55:[21, 47], Operations: ['34-13=21', '51-4=47']
Exploring Operation: 21*47=987, Resulting Numbers: [987]
987,55 unequal: No Solution
Exploring Operation: 21+47=68, Resulting Numbers: [68]
68,55 unequal: No Solution
Exploring Operation: 47-21=26, Resulting Numbers: [26]
26,55 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: 55:[13, 34, 55], Operations: ['51+4=55']
Exploring Operation: 34-13=21, Resulting Numbers: [55, 21]
Generated Node #0,0,0: 55:[55, 21] Operation: 34-13=21
Exploring Operation: 13+55=68, Resulting Numbers: [34, 68]
Generated Node #0,0,1: 55:[34, 68] Operation: 13+55=68
Exploring Operation: 55-34=21, Resulting Numbers: [13, 21]
Generated Node #0,0,2: 55:[13, 21] Operation: 55-34=21
Exploring Operation: 13+34=47, Resulting Numbers: [55, 47]
Generated Node #0,0,3: 55:[55, 47] Operation: 13+34=47
Moving to Node #0,2,3
Current State: 55:[4, 4], Operations: ['51-34=17', '17-13=4']
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,55 unequal: No Solution
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,55 unequal: No Solution
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,55 unequal: No Solution
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,55 unequal: No Solution
Moving to Node #0,2,2
Current State: 55:[13, 13], Operations: ['51-34=17', '17-4=13']
Exploring Operation: 13*13=169, Resulting Numbers: [169]
169,55 unequal: No Solution
Exploring Operation: 13+13=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Exploring Operation: 13-13=0, Resulting Numbers: [0]
0,55 unequal: No Solution
Exploring Operation: 13/13=1, Resulting Numbers: [1]
1,55 unequal: No Solution
Moving to Node #0,2,1
Current State: 55:[17, 9], Operations: ['51-34=17', '13-4=9']
Exploring Operation: 17+9=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,55 unequal: No Solution
Exploring Operation: 17*9=153, Resulting Numbers: [153]
153,55 unequal: No Solution
Moving to Node #0,0,3
Current State: 55:[55, 47], Operations: ['51+4=55', '13+34=47']
Exploring Operation: 55*47=2585, Resulting Numbers: [2585]
2585,55 unequal: No Solution
Exploring Operation: 55-47=8, Resulting Numbers: [8]
8,55 unequal: No Solution
Exploring Operation: 55+47=102, Resulting Numbers: [102]
102,55 unequal: No Solution
Moving to Node #0,2,0
Current State: 55:[17, 52], Operations: ['51-34=17', '4*13=52']
Exploring Operation: 17+52=69, Resulting Numbers: [69]
69,55 unequal: No Solution
Exploring Operation: 52-17=35, Resulting Numbers: [35]
35,55 unequal: No Solution
Exploring Operation: 17*52=884, Resulting Numbers: [884]
884,55 unequal: No Solution
Moving to Node #0,0,0
Current State: 55:[55, 21], Operations: ['51+4=55', '34-13=21']
Exploring Operation: 55+21=76, Resulting Numbers: [76]
76,55 unequal: No Solution
Exploring Operation: 55*21=1155, Resulting Numbers: [1155]
1155,55 unequal: No Solution
Exploring Operation: 55-21=34, Resulting Numbers: [34]
34,55 unequal: No Solution
Moving to Node #0,0,2
Current State: 55:[13, 21], Operations: ['51+4=55', '55-34=21']
Exploring Operation: 21-13=8, Resulting Numbers: [8]
8,55 unequal: No Solution
Exploring Operation: 13+21=34, Resulting Numbers: [34]
34,55 unequal: No Solution
Exploring Operation: 13*21=273, Resulting Numbers: [273]
273,55 unequal: No Solution
Moving to Node #0,0,1
Current State: 55:[34, 68], Operations: ['51+4=55', '13+55=68']
Exploring Operation: 68-34=34, Resulting Numbers: [34]
34,55 unequal: No Solution
Exploring Operation: 68/34=2, Resulting Numbers: [2]
2,55 unequal: No Solution
Exploring Operation: 34*68=2312, Resulting Numbers: [2312]
2312,55 unequal: No Solution
Exploring Operation: 34+68=102, Resulting Numbers: [102]
102,55 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
11,
71,
20,
70
] | 73 | [
"71-11=60",
"60/20=3",
"70+3=73"
] | Current State: 73:[11, 71, 20, 70], Operations: []
Exploring Operation: 71-11=60, Resulting Numbers: [20, 70, 60]
Generated Node #2: [20, 70, 60] from Operation: 71-11=60
Current State: 73:[20, 70, 60], Operations: ['71-11=60']
Exploring Operation: 60/20=3, Resulting Numbers: [70, 3]
Generated Node #3: [70, 3] from Operation: 60/20=3
Current State: 73:[70, 3], Operations: ['71-11=60', '60/20=3']
Exploring Operation: 70+3=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[11, 71, 20, 70], Operations: []
Exploring Operation: 11+20=31, Resulting Numbers: [71, 70, 31]
Generated Node #0,0: 73:[71, 70, 31] Operation: 11+20=31
Exploring Operation: 11+70=81, Resulting Numbers: [71, 20, 81]
Generated Node #0,1: 73:[71, 20, 81] Operation: 11+70=81
Exploring Operation: 11+71=82, Resulting Numbers: [20, 70, 82]
Generated Node #0,2: 73:[20, 70, 82] Operation: 11+71=82
Moving to Node #0,0
Current State: 73:[71, 70, 31], Operations: ['11+20=31']
Exploring Operation: 70+31=101, Resulting Numbers: [71, 101]
Generated Node #0,0,0: 73:[71, 101] Operation: 70+31=101
Exploring Operation: 71-31=40, Resulting Numbers: [70, 40]
Generated Node #0,0,1: 73:[70, 40] Operation: 71-31=40
Exploring Operation: 71+31=102, Resulting Numbers: [70, 102]
Generated Node #0,0,2: 73:[70, 102] Operation: 71+31=102
Moving to Node #0,1
Current State: 73:[71, 20, 81], Operations: ['11+70=81']
Exploring Operation: 71+20=91, Resulting Numbers: [81, 91]
Generated Node #0,1,0: 73:[81, 91] Operation: 71+20=91
Exploring Operation: 81-20=61, Resulting Numbers: [71, 61]
Generated Node #0,1,1: 73:[71, 61] Operation: 81-20=61
Exploring Operation: 71-20=51, Resulting Numbers: [81, 51]
Generated Node #0,1,2: 73:[81, 51] Operation: 71-20=51
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 73:[71, 61], Operations: ['11+70=81', '81-20=61']
Exploring Operation: 71-61=10, Resulting Numbers: [10]
10,73 unequal: No Solution
Exploring Operation: 71+61=132, Resulting Numbers: [132]
132,73 unequal: No Solution
Exploring Operation: 71*61=4331, Resulting Numbers: [4331]
4331,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 73:[81, 91], Operations: ['11+70=81', '71+20=91']
Exploring Operation: 81+91=172, Resulting Numbers: [172]
172,73 unequal: No Solution
Exploring Operation: 81*91=7371, Resulting Numbers: [7371]
7371,73 unequal: No Solution
Exploring Operation: 91-81=10, Resulting Numbers: [10]
10,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 73:[81, 51], Operations: ['11+70=81', '71-20=51']
Exploring Operation: 81+51=132, Resulting Numbers: [132]
132,73 unequal: No Solution
Exploring Operation: 81-51=30, Resulting Numbers: [30]
30,73 unequal: No Solution
Exploring Operation: 81*51=4131, Resulting Numbers: [4131]
4131,73 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: 73:[20, 70, 82], Operations: ['11+71=82']
Exploring Operation: 82-20=62, Resulting Numbers: [70, 62]
Generated Node #0,2,0: 73:[70, 62] Operation: 82-20=62
Exploring Operation: 20+70=90, Resulting Numbers: [82, 90]
Generated Node #0,2,1: 73:[82, 90] Operation: 20+70=90
Exploring Operation: 70-20=50, Resulting Numbers: [82, 50]
Generated Node #0,2,2: 73:[82, 50] Operation: 70-20=50
Moving to Node #0,2,0
Current State: 73:[70, 62], Operations: ['11+71=82', '82-20=62']
Exploring Operation: 70-62=8, Resulting Numbers: [8]
8,73 unequal: No Solution
Exploring Operation: 70*62=4340, Resulting Numbers: [4340]
4340,73 unequal: No Solution
Exploring Operation: 70+62=132, Resulting Numbers: [132]
132,73 unequal: No Solution
Moving to Node #0,2,1
Current State: 73:[82, 90], Operations: ['11+71=82', '20+70=90']
Exploring Operation: 82*90=7380, Resulting Numbers: [7380]
7380,73 unequal: No Solution
Exploring Operation: 82+90=172, Resulting Numbers: [172]
172,73 unequal: No Solution
Exploring Operation: 90-82=8, Resulting Numbers: [8]
8,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[71, 101], Operations: ['11+20=31', '70+31=101']
Exploring Operation: 101-71=30, Resulting Numbers: [30]
30,73 unequal: No Solution
Exploring Operation: 71*101=7171, Resulting Numbers: [7171]
7171,73 unequal: No Solution
Exploring Operation: 71+101=172, Resulting Numbers: [172]
172,73 unequal: No Solution
Moving to Node #0,2,2
Current State: 73:[82, 50], Operations: ['11+71=82', '70-20=50']
Exploring Operation: 82-50=32, Resulting Numbers: [32]
32,73 unequal: No Solution
Exploring Operation: 82*50=4100, Resulting Numbers: [4100]
4100,73 unequal: No Solution
Exploring Operation: 82+50=132, Resulting Numbers: [132]
132,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[70, 102], Operations: ['11+20=31', '71+31=102']
Exploring Operation: 70*102=7140, Resulting Numbers: [7140]
7140,73 unequal: No Solution
Exploring Operation: 102-70=32, Resulting Numbers: [32]
32,73 unequal: No Solution
Exploring Operation: 70+102=172, Resulting Numbers: [172]
172,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[70, 40], Operations: ['11+20=31', '71-31=40']
Exploring Operation: 70*40=2800, Resulting Numbers: [2800]
2800,73 unequal: No Solution
Exploring Operation: 70+40=110, Resulting Numbers: [110]
110,73 unequal: No Solution
Exploring Operation: 70-40=30, Resulting Numbers: [30]
30,73 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
40,
78,
51,
9
] | 21 | [
"51-40=11",
"9*11=99",
"99-78=21"
] | Current State: 21:[40, 78, 51, 9], Operations: []
Exploring Operation: 51-40=11, Resulting Numbers: [78, 9, 11]
Generated Node #2: [78, 9, 11] from Operation: 51-40=11
Current State: 21:[78, 9, 11], Operations: ['51-40=11']
Exploring Operation: 9*11=99, Resulting Numbers: [78, 99]
Generated Node #3: [78, 99] from Operation: 9*11=99
Current State: 21:[78, 99], Operations: ['51-40=11', '9*11=99']
Exploring Operation: 99-78=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[40, 78, 51, 9], Operations: []
Exploring Operation: 78-51=27, Resulting Numbers: [40, 9, 27]
Generated Node #0,0: 21:[40, 9, 27] Operation: 78-51=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[40, 9, 27], Operations: ['78-51=27']
Exploring Operation: 40-27=13, Resulting Numbers: [9, 13]
Generated Node #0,0,0: 21:[9, 13] Operation: 40-27=13
Moving to Node #0,0,0
Current State: 21:[9, 13], Operations: ['78-51=27', '40-27=13']
Exploring Operation: 9+13=22, Resulting Numbers: [22]
22,21 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 |
[
37,
10,
55,
23
] | 85 | [
"37-23=14",
"10*14=140",
"140-55=85"
] | Current State: 85:[37, 10, 55, 23], Operations: []
Exploring Operation: 37-23=14, Resulting Numbers: [10, 55, 14]
Generated Node #2: [10, 55, 14] from Operation: 37-23=14
Current State: 85:[10, 55, 14], Operations: ['37-23=14']
Exploring Operation: 10*14=140, Resulting Numbers: [55, 140]
Generated Node #3: [55, 140] from Operation: 10*14=140
Current State: 85:[55, 140], Operations: ['37-23=14', '10*14=140']
Exploring Operation: 140-55=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[37, 10, 55, 23], Operations: []
Exploring Operation: 37+55=92, Resulting Numbers: [10, 23, 92]
Generated Node #0,0: 85:[10, 23, 92] Operation: 37+55=92
Exploring Operation: 55-37=18, Resulting Numbers: [10, 23, 18]
Generated Node #0,1: 85:[10, 23, 18] Operation: 55-37=18
Moving to Node #0,1
Current State: 85:[10, 23, 18], Operations: ['55-37=18']
Exploring Operation: 23-18=5, Resulting Numbers: [10, 5]
Generated Node #0,1,0: 85:[10, 5] Operation: 23-18=5
Exploring Operation: 23-10=13, Resulting Numbers: [18, 13]
Generated Node #0,1,1: 85:[18, 13] Operation: 23-10=13
Moving to Node #0,0
Current State: 85:[10, 23, 92], Operations: ['37+55=92']
Exploring Operation: 92-10=82, Resulting Numbers: [23, 82]
Generated Node #0,0,0: 85:[23, 82] Operation: 92-10=82
Exploring Operation: 92/23=4, Resulting Numbers: [10, 4]
Generated Node #0,0,1: 85:[10, 4] Operation: 92/23=4
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 85:[10, 4], Operations: ['37+55=92', '92/23=4']
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,85 unequal: No Solution
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 85:[23, 82], Operations: ['37+55=92', '92-10=82']
Exploring Operation: 23+82=105, Resulting Numbers: [105]
105,85 unequal: No Solution
Exploring Operation: 82-23=59, Resulting Numbers: [59]
59,85 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: 85:[10, 5], Operations: ['55-37=18', '23-18=5']
Exploring Operation: 10+5=15, Resulting Numbers: [15]
15,85 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,85 unequal: No Solution
Moving to Node #0,1,1
Current State: 85:[18, 13], Operations: ['55-37=18', '23-10=13']
Exploring Operation: 18+13=31, Resulting Numbers: [31]
31,85 unequal: No Solution
Exploring Operation: 18-13=5, Resulting Numbers: [5]
5,85 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
5,
43,
74,
70
] | 52 | [
"5+43=48",
"74-70=4",
"48+4=52"
] | Current State: 52:[5, 43, 74, 70], Operations: []
Exploring Operation: 5+43=48, Resulting Numbers: [74, 70, 48]
Generated Node #2: [74, 70, 48] from Operation: 5+43=48
Current State: 52:[74, 70, 48], Operations: ['5+43=48']
Exploring Operation: 74-70=4, Resulting Numbers: [48, 4]
Generated Node #3: [48, 4] from Operation: 74-70=4
Current State: 52:[48, 4], Operations: ['5+43=48', '74-70=4']
Exploring Operation: 48+4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[5, 43, 74, 70], Operations: []
Exploring Operation: 74-70=4, Resulting Numbers: [5, 43, 4]
Generated Node #0,0: 52:[5, 43, 4] Operation: 74-70=4
Moving to Node #0,0
Current State: 52:[5, 43, 4], Operations: ['74-70=4']
Exploring Operation: 5+43=48, Resulting Numbers: [4, 48]
Generated Node #0,0,0: 52:[4, 48] Operation: 5+43=48
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 52:[4, 48], Operations: ['74-70=4', '5+43=48']
Exploring Operation: 4+48=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[5, 43, 74, 70], Operations: []
Exploring Operation: 74-70=4, Resulting Numbers: [5, 43, 4]
Generated Node #0,0: 52:[5, 43, 4] Operation: 74-70=4
Moving to Node #0,0
Current State: 52:[5, 43, 4], Operations: ['74-70=4']
Exploring Operation: 5+43=48, Resulting Numbers: [4, 48]
Generated Node #0,0,0: 52:[4, 48] Operation: 5+43=48
Moving to Node #0,0,0
Current State: 52:[4, 48], Operations: ['74-70=4', '5+43=48']
Exploring Operation: 4+48=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
91,
53,
37,
64
] | 95 | [
"53-37=16",
"64/16=4",
"91+4=95"
] | Current State: 95:[91, 53, 37, 64], Operations: []
Exploring Operation: 53-37=16, Resulting Numbers: [91, 64, 16]
Generated Node #2: [91, 64, 16] from Operation: 53-37=16
Current State: 95:[91, 64, 16], Operations: ['53-37=16']
Exploring Operation: 64/16=4, Resulting Numbers: [91, 4]
Generated Node #3: [91, 4] from Operation: 64/16=4
Current State: 95:[91, 4], Operations: ['53-37=16', '64/16=4']
Exploring Operation: 91+4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[91, 53, 37, 64], Operations: []
Exploring Operation: 64-53=11, Resulting Numbers: [91, 37, 11]
Generated Node #0,0: 95:[91, 37, 11] Operation: 64-53=11
Exploring Operation: 53+37=90, Resulting Numbers: [91, 64, 90]
Generated Node #0,1: 95:[91, 64, 90] Operation: 53+37=90
Exploring Operation: 37+64=101, Resulting Numbers: [91, 53, 101]
Generated Node #0,2: 95:[91, 53, 101] Operation: 37+64=101
Exploring Operation: 53-37=16, Resulting Numbers: [91, 64, 16]
Generated Node #0,3: 95:[91, 64, 16] Operation: 53-37=16
Exploring Operation: 53+64=117, Resulting Numbers: [91, 37, 117]
Generated Node #0,4: 95:[91, 37, 117] Operation: 53+64=117
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[91, 37, 11], Operations: ['64-53=11']
Exploring Operation: 91-11=80, Resulting Numbers: [37, 80]
Generated Node #0,0,0: 95:[37, 80] Operation: 91-11=80
Exploring Operation: 37-11=26, Resulting Numbers: [91, 26]
Generated Node #0,0,1: 95:[91, 26] Operation: 37-11=26
Exploring Operation: 37+11=48, Resulting Numbers: [91, 48]
Generated Node #0,0,2: 95:[91, 48] Operation: 37+11=48
Exploring Operation: 91+11=102, Resulting Numbers: [37, 102]
Generated Node #0,0,3: 95:[37, 102] Operation: 91+11=102
Exploring Operation: 91+37=128, Resulting Numbers: [11, 128]
Generated Node #0,0,4: 95:[11, 128] Operation: 91+37=128
Moving to Node #0,0,1
Current State: 95:[91, 26], Operations: ['64-53=11', '37-11=26']
Exploring Operation: 91*26=2366, Resulting Numbers: [2366]
2366,95 unequal: No Solution
Exploring Operation: 91+26=117, Resulting Numbers: [117]
117,95 unequal: No Solution
Exploring Operation: 91-26=65, Resulting Numbers: [65]
65,95 unequal: No Solution
Moving to Node #0,0,3
Current State: 95:[37, 102], Operations: ['64-53=11', '91+11=102']
Exploring Operation: 37+102=139, Resulting Numbers: [139]
139,95 unequal: No Solution
Exploring Operation: 37*102=3774, Resulting Numbers: [3774]
3774,95 unequal: No Solution
Exploring Operation: 102-37=65, Resulting Numbers: [65]
65,95 unequal: No Solution
Moving to Node #0,0,0
Current State: 95:[37, 80], Operations: ['64-53=11', '91-11=80']
Exploring Operation: 80-37=43, Resulting Numbers: [43]
43,95 unequal: No Solution
Exploring Operation: 37*80=2960, Resulting Numbers: [2960]
2960,95 unequal: No Solution
Exploring Operation: 37+80=117, Resulting Numbers: [117]
117,95 unequal: No Solution
Moving to Node #0,0,2
Current State: 95:[91, 48], Operations: ['64-53=11', '37+11=48']
Exploring Operation: 91+48=139, Resulting Numbers: [139]
139,95 unequal: No Solution
Exploring Operation: 91*48=4368, Resulting Numbers: [4368]
4368,95 unequal: No Solution
Exploring Operation: 91-48=43, Resulting Numbers: [43]
43,95 unequal: No Solution
Moving to Node #0,0,4
Current State: 95:[11, 128], Operations: ['64-53=11', '91+37=128']
Exploring Operation: 11*128=1408, Resulting Numbers: [1408]
1408,95 unequal: No Solution
Exploring Operation: 128-11=117, Resulting Numbers: [117]
117,95 unequal: No Solution
Exploring Operation: 11+128=139, Resulting Numbers: [139]
139,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 95:[91, 64, 16], Operations: ['53-37=16']
Exploring Operation: 91-64=27, Resulting Numbers: [16, 27]
Generated Node #0,3,0: 95:[16, 27] Operation: 91-64=27
Exploring Operation: 64+16=80, Resulting Numbers: [91, 80]
Generated Node #0,3,1: 95:[91, 80] Operation: 64+16=80
Exploring Operation: 64-16=48, Resulting Numbers: [91, 48]
Generated Node #0,3,2: 95:[91, 48] Operation: 64-16=48
Exploring Operation: 91+16=107, Resulting Numbers: [64, 107]
Generated Node #0,3,3: 95:[64, 107] Operation: 91+16=107
Exploring Operation: 64/16=4, Resulting Numbers: [91, 4]
Generated Node #0,3,4: 95:[91, 4] Operation: 64/16=4
Moving to Node #0,3,4
Current State: 95:[91, 4], Operations: ['53-37=16', '64/16=4']
Exploring Operation: 91+4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[91, 53, 37, 64], Operations: []
Exploring Operation: 53-37=16, Resulting Numbers: [91, 64, 16]
Generated Node #0,3: 95:[91, 64, 16] Operation: 53-37=16
Moving to Node #0,3
Current State: 95:[91, 64, 16], Operations: ['53-37=16']
Exploring Operation: 64/16=4, Resulting Numbers: [91, 4]
Generated Node #0,3,4: 95:[91, 4] Operation: 64/16=4
Moving to Node #0,3,4
Current State: 95:[91, 4], Operations: ['53-37=16', '64/16=4']
Exploring Operation: 91+4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_5 | sum_heuristic |
[
33,
31,
14,
60
] | 18 | [
"33+31=64",
"60-14=46",
"64-46=18"
] | Current State: 18:[33, 31, 14, 60], Operations: []
Exploring Operation: 33+31=64, Resulting Numbers: [14, 60, 64]
Generated Node #2: [14, 60, 64] from Operation: 33+31=64
Current State: 18:[14, 60, 64], Operations: ['33+31=64']
Exploring Operation: 60-14=46, Resulting Numbers: [64, 46]
Generated Node #3: [64, 46] from Operation: 60-14=46
Current State: 18:[64, 46], Operations: ['33+31=64', '60-14=46']
Exploring Operation: 64-46=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[33, 31, 14, 60], Operations: []
Exploring Operation: 60-31=29, Resulting Numbers: [33, 14, 29]
Generated Node #0,0: 18:[33, 14, 29] Operation: 60-31=29
Exploring Operation: 60-33=27, Resulting Numbers: [31, 14, 27]
Generated Node #0,1: 18:[31, 14, 27] Operation: 60-33=27
Exploring Operation: 60-14=46, Resulting Numbers: [33, 31, 46]
Generated Node #0,2: 18:[33, 31, 46] Operation: 60-14=46
Exploring Operation: 33-31=2, Resulting Numbers: [14, 60, 2]
Generated Node #0,3: 18:[14, 60, 2] Operation: 33-31=2
Exploring Operation: 33-14=19, Resulting Numbers: [31, 60, 19]
Generated Node #0,4: 18:[31, 60, 19] Operation: 33-14=19
Moving to Node #0,1
Current State: 18:[31, 14, 27], Operations: ['60-33=27']
Exploring Operation: 31-14=17, Resulting Numbers: [27, 17]
Generated Node #0,1,0: 18:[27, 17] Operation: 31-14=17
Exploring Operation: 14+27=41, Resulting Numbers: [31, 41]
Generated Node #0,1,1: 18:[31, 41] Operation: 14+27=41
Exploring Operation: 31-27=4, Resulting Numbers: [14, 4]
Generated Node #0,1,2: 18:[14, 4] Operation: 31-27=4
Exploring Operation: 27-14=13, Resulting Numbers: [31, 13]
Generated Node #0,1,3: 18:[31, 13] Operation: 27-14=13
Exploring Operation: 31+14=45, Resulting Numbers: [27, 45]
Generated Node #0,1,4: 18:[27, 45] Operation: 31+14=45
Moving to Node #0,0
Current State: 18:[33, 14, 29], Operations: ['60-31=29']
Exploring Operation: 33+14=47, Resulting Numbers: [29, 47]
Generated Node #0,0,0: 18:[29, 47] Operation: 33+14=47
Exploring Operation: 29-14=15, Resulting Numbers: [33, 15]
Generated Node #0,0,1: 18:[33, 15] Operation: 29-14=15
Exploring Operation: 14+29=43, Resulting Numbers: [33, 43]
Generated Node #0,0,2: 18:[33, 43] Operation: 14+29=43
Exploring Operation: 33-29=4, Resulting Numbers: [14, 4]
Generated Node #0,0,3: 18:[14, 4] Operation: 33-29=4
Exploring Operation: 33-14=19, Resulting Numbers: [29, 19]
Generated Node #0,0,4: 18:[29, 19] Operation: 33-14=19
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 18:[14, 4], Operations: ['60-31=29', '33-29=4']
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,18 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,18 unequal: No Solution
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[33, 31, 14, 60], Operations: []
Exploring Operation: 60-31=29, Resulting Numbers: [33, 14, 29]
Generated Node #0,0: 18:[33, 14, 29] Operation: 60-31=29
Moving to Node #0,0
Current State: 18:[33, 14, 29], Operations: ['60-31=29']
Exploring Operation: 33-29=4, Resulting Numbers: [14, 4]
Generated Node #0,0,3: 18:[14, 4] Operation: 33-29=4
Moving to Node #0,0,3
Current State: 18:[14, 4], Operations: ['60-31=29', '33-29=4']
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | sum_heuristic |
[
73,
93,
49,
12
] | 57 | [
"93-73=20",
"49-12=37",
"20+37=57"
] | Current State: 57:[73, 93, 49, 12], Operations: []
Exploring Operation: 93-73=20, Resulting Numbers: [49, 12, 20]
Generated Node #2: [49, 12, 20] from Operation: 93-73=20
Current State: 57:[49, 12, 20], Operations: ['93-73=20']
Exploring Operation: 49-12=37, Resulting Numbers: [20, 37]
Generated Node #3: [20, 37] from Operation: 49-12=37
Current State: 57:[20, 37], Operations: ['93-73=20', '49-12=37']
Exploring Operation: 20+37=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[73, 93, 49, 12], Operations: []
Exploring Operation: 73-49=24, Resulting Numbers: [93, 12, 24]
Generated Node #0,0: 57:[93, 12, 24] Operation: 73-49=24
Exploring Operation: 73-12=61, Resulting Numbers: [93, 49, 61]
Generated Node #0,1: 57:[93, 49, 61] Operation: 73-12=61
Exploring Operation: 93-49=44, Resulting Numbers: [73, 12, 44]
Generated Node #0,2: 57:[73, 12, 44] Operation: 93-49=44
Exploring Operation: 93-73=20, Resulting Numbers: [49, 12, 20]
Generated Node #0,3: 57:[49, 12, 20] Operation: 93-73=20
Start Sub Search at level 1: Moving to Node #0,3
Current State: 57:[49, 12, 20], Operations: ['93-73=20']
Exploring Operation: 49+12=61, Resulting Numbers: [20, 61]
Generated Node #0,3,0: 57:[20, 61] Operation: 49+12=61
Exploring Operation: 49-20=29, Resulting Numbers: [12, 29]
Generated Node #0,3,1: 57:[12, 29] Operation: 49-20=29
Exploring Operation: 49-12=37, Resulting Numbers: [20, 37]
Generated Node #0,3,2: 57:[20, 37] Operation: 49-12=37
Exploring Operation: 20-12=8, Resulting Numbers: [49, 8]
Generated Node #0,3,3: 57:[49, 8] Operation: 20-12=8
Moving to Node #0,3,0
Current State: 57:[20, 61], Operations: ['93-73=20', '49+12=61']
Exploring Operation: 61-20=41, Resulting Numbers: [41]
41,57 unequal: No Solution
Exploring Operation: 20+61=81, Resulting Numbers: [81]
81,57 unequal: No Solution
Exploring Operation: 20*61=1220, Resulting Numbers: [1220]
1220,57 unequal: No Solution
Moving to Node #0,3,3
Current State: 57:[49, 8], Operations: ['93-73=20', '20-12=8']
Exploring Operation: 49-8=41, Resulting Numbers: [41]
41,57 unequal: No Solution
Exploring Operation: 49+8=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[73, 93, 49, 12], Operations: []
Exploring Operation: 93-73=20, Resulting Numbers: [49, 12, 20]
Generated Node #0,3: 57:[49, 12, 20] Operation: 93-73=20
Moving to Node #0,3
Current State: 57:[49, 12, 20], Operations: ['93-73=20']
Exploring Operation: 20-12=8, Resulting Numbers: [49, 8]
Generated Node #0,3,3: 57:[49, 8] Operation: 20-12=8
Moving to Node #0,3,3
Current State: 57:[49, 8], Operations: ['93-73=20', '20-12=8']
Exploring Operation: 49+8=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | mult_heuristic |
[
23,
43,
6,
39
] | 46 | [
"43-6=37",
"39-37=2",
"23*2=46"
] | Current State: 46:[23, 43, 6, 39], Operations: []
Exploring Operation: 43-6=37, Resulting Numbers: [23, 39, 37]
Generated Node #2: [23, 39, 37] from Operation: 43-6=37
Current State: 46:[23, 39, 37], Operations: ['43-6=37']
Exploring Operation: 39-37=2, Resulting Numbers: [23, 2]
Generated Node #3: [23, 2] from Operation: 39-37=2
Current State: 46:[23, 2], Operations: ['43-6=37', '39-37=2']
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[23, 43, 6, 39], Operations: []
Exploring Operation: 43-39=4, Resulting Numbers: [23, 6, 4]
Generated Node #0,0: 46:[23, 6, 4] Operation: 43-39=4
Exploring Operation: 43-23=20, Resulting Numbers: [6, 39, 20]
Generated Node #0,1: 46:[6, 39, 20] Operation: 43-23=20
Exploring Operation: 43+6=49, Resulting Numbers: [23, 39, 49]
Generated Node #0,2: 46:[23, 39, 49] Operation: 43+6=49
Exploring Operation: 39-6=33, Resulting Numbers: [23, 43, 33]
Generated Node #0,3: 46:[23, 43, 33] Operation: 39-6=33
Exploring Operation: 6+39=45, Resulting Numbers: [23, 43, 45]
Generated Node #0,4: 46:[23, 43, 45] Operation: 6+39=45
Moving to Node #0,4
Current State: 46:[23, 43, 45], Operations: ['6+39=45']
Exploring Operation: 45-43=2, Resulting Numbers: [23, 2]
Generated Node #0,4,0: 46:[23, 2] Operation: 45-43=2
Exploring Operation: 23+45=68, Resulting Numbers: [43, 68]
Generated Node #0,4,1: 46:[43, 68] Operation: 23+45=68
Exploring Operation: 45-23=22, Resulting Numbers: [43, 22]
Generated Node #0,4,2: 46:[43, 22] Operation: 45-23=22
Exploring Operation: 23+43=66, Resulting Numbers: [45, 66]
Generated Node #0,4,3: 46:[45, 66] Operation: 23+43=66
Exploring Operation: 43-23=20, Resulting Numbers: [45, 20]
Generated Node #0,4,4: 46:[45, 20] Operation: 43-23=20
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 46:[23, 2], Operations: ['6+39=45', '45-43=2']
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[23, 43, 6, 39], Operations: []
Exploring Operation: 6+39=45, Resulting Numbers: [23, 43, 45]
Generated Node #0,4: 46:[23, 43, 45] Operation: 6+39=45
Moving to Node #0,4
Current State: 46:[23, 43, 45], Operations: ['6+39=45']
Exploring Operation: 45-43=2, Resulting Numbers: [23, 2]
Generated Node #0,4,0: 46:[23, 2] Operation: 45-43=2
Moving to Node #0,4,0
Current State: 46:[23, 2], Operations: ['6+39=45', '45-43=2']
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
79,
67,
86,
72
] | 74 | [
"79*72=5688",
"67*86=5762",
"5762-5688=74"
] | Current State: 74:[79, 67, 86, 72], Operations: []
Exploring Operation: 79*72=5688, Resulting Numbers: [67, 86, 5688]
Generated Node #2: [67, 86, 5688] from Operation: 79*72=5688
Current State: 74:[67, 86, 5688], Operations: ['79*72=5688']
Exploring Operation: 67*86=5762, Resulting Numbers: [5688, 5762]
Generated Node #3: [5688, 5762] from Operation: 67*86=5762
Current State: 74:[5688, 5762], Operations: ['79*72=5688', '67*86=5762']
Exploring Operation: 5762-5688=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[79, 67, 86, 72], Operations: []
Exploring Operation: 79-72=7, Resulting Numbers: [67, 86, 7]
Generated Node #0,0: 74:[67, 86, 7] Operation: 79-72=7
Exploring Operation: 79-67=12, Resulting Numbers: [86, 72, 12]
Generated Node #0,1: 74:[86, 72, 12] Operation: 79-67=12
Exploring Operation: 86-79=7, Resulting Numbers: [67, 72, 7]
Generated Node #0,2: 74:[67, 72, 7] Operation: 86-79=7
Exploring Operation: 72-67=5, Resulting Numbers: [79, 86, 5]
Generated Node #0,3: 74:[79, 86, 5] Operation: 72-67=5
Exploring Operation: 86-67=19, Resulting Numbers: [79, 72, 19]
Generated Node #0,4: 74:[79, 72, 19] Operation: 86-67=19
Moving to Node #0,2
Current State: 74:[67, 72, 7], Operations: ['86-79=7']
Exploring Operation: 67-7=60, Resulting Numbers: [72, 60]
Generated Node #0,2,0: 74:[72, 60] Operation: 67-7=60
Exploring Operation: 72-67=5, Resulting Numbers: [7, 5]
Generated Node #0,2,1: 74:[7, 5] Operation: 72-67=5
Exploring Operation: 72+7=79, Resulting Numbers: [67, 79]
Generated Node #0,2,2: 74:[67, 79] Operation: 72+7=79
Exploring Operation: 72-7=65, Resulting Numbers: [67, 65]
Generated Node #0,2,3: 74:[67, 65] Operation: 72-7=65
Exploring Operation: 67+7=74, Resulting Numbers: [72, 74]
Generated Node #0,2,4: 74:[72, 74] Operation: 67+7=74
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 74:[72, 74], Operations: ['86-79=7', '67+7=74']
Exploring Operation: 72+74=146, Resulting Numbers: [146]
146,74 unequal: No Solution
Exploring Operation: 72*74=5328, Resulting Numbers: [5328]
5328,74 unequal: No Solution
Exploring Operation: 74-72=2, Resulting Numbers: [2]
2,74 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 #0,2,1
Current State: 74:[7, 5], Operations: ['86-79=7', '72-67=5']
Exploring Operation: 7+5=12, Resulting Numbers: [12]
12,74 unequal: No Solution
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,74 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,74 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 #0,2,2
Current State: 74:[67, 79], Operations: ['86-79=7', '72+7=79']
Exploring Operation: 79-67=12, Resulting Numbers: [12]
12,74 unequal: No Solution
Exploring Operation: 67+79=146, Resulting Numbers: [146]
146,74 unequal: No Solution
Exploring Operation: 67*79=5293, Resulting Numbers: [5293]
5293,74 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:[72, 60], Operations: ['86-79=7', '67-7=60']
Exploring Operation: 72-60=12, Resulting Numbers: [12]
12,74 unequal: No Solution
Exploring Operation: 72+60=132, Resulting Numbers: [132]
132,74 unequal: No Solution
Exploring Operation: 72*60=4320, Resulting Numbers: [4320]
4320,74 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 #0,2,3
Current State: 74:[67, 65], Operations: ['86-79=7', '72-7=65']
Exploring Operation: 67*65=4355, Resulting Numbers: [4355]
4355,74 unequal: No Solution
Exploring Operation: 67+65=132, Resulting Numbers: [132]
132,74 unequal: No Solution
Exploring Operation: 67-65=2, Resulting Numbers: [2]
2,74 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: 74:[79, 86, 5], Operations: ['72-67=5']
Exploring Operation: 79-5=74, Resulting Numbers: [86, 74]
Generated Node #0,3,0: 74:[86, 74] Operation: 79-5=74
Exploring Operation: 86-5=81, Resulting Numbers: [79, 81]
Generated Node #0,3,1: 74:[79, 81] Operation: 86-5=81
Exploring Operation: 79+5=84, Resulting Numbers: [86, 84]
Generated Node #0,3,2: 74:[86, 84] Operation: 79+5=84
Exploring Operation: 86+5=91, Resulting Numbers: [79, 91]
Generated Node #0,3,3: 74:[79, 91] Operation: 86+5=91
Exploring Operation: 86-79=7, Resulting Numbers: [5, 7]
Generated Node #0,3,4: 74:[5, 7] Operation: 86-79=7
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 74:[5, 7], Operations: ['72-67=5', '86-79=7']
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,74 unequal: No Solution
Exploring Operation: 5+7=12, Resulting Numbers: [12]
12,74 unequal: No Solution
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 74:[86, 74], Operations: ['72-67=5', '79-5=74']
Exploring Operation: 86*74=6364, Resulting Numbers: [6364]
6364,74 unequal: No Solution
Exploring Operation: 86+74=160, Resulting Numbers: [160]
160,74 unequal: No Solution
Exploring Operation: 86-74=12, Resulting Numbers: [12]
12,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 74:[79, 81], Operations: ['72-67=5', '86-5=81']
Exploring Operation: 79*81=6399, Resulting Numbers: [6399]
6399,74 unequal: No Solution
Exploring Operation: 81-79=2, Resulting Numbers: [2]
2,74 unequal: No Solution
Exploring Operation: 79+81=160, Resulting Numbers: [160]
160,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 74:[86, 84], Operations: ['72-67=5', '79+5=84']
Exploring Operation: 86-84=2, Resulting Numbers: [2]
2,74 unequal: No Solution
Exploring Operation: 86+84=170, Resulting Numbers: [170]
170,74 unequal: No Solution
Exploring Operation: 86*84=7224, Resulting Numbers: [7224]
7224,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 74:[79, 91], Operations: ['72-67=5', '86+5=91']
Exploring Operation: 91-79=12, Resulting Numbers: [12]
12,74 unequal: No Solution
Exploring Operation: 79*91=7189, Resulting Numbers: [7189]
7189,74 unequal: No Solution
Exploring Operation: 79+91=170, Resulting Numbers: [170]
170,74 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: 74:[67, 86, 7], Operations: ['79-72=7']
Exploring Operation: 86-7=79, Resulting Numbers: [67, 79]
Generated Node #0,0,0: 74:[67, 79] Operation: 86-7=79
Exploring Operation: 86+7=93, Resulting Numbers: [67, 93]
Generated Node #0,0,1: 74:[67, 93] Operation: 86+7=93
Exploring Operation: 86-67=19, Resulting Numbers: [7, 19]
Generated Node #0,0,2: 74:[7, 19] Operation: 86-67=19
Exploring Operation: 67-7=60, Resulting Numbers: [86, 60]
Generated Node #0,0,3: 74:[86, 60] Operation: 67-7=60
Exploring Operation: 67+7=74, Resulting Numbers: [86, 74]
Generated Node #0,0,4: 74:[86, 74] Operation: 67+7=74
Moving to Node #0,1
Current State: 74:[86, 72, 12], Operations: ['79-67=12']
Exploring Operation: 86-72=14, Resulting Numbers: [12, 14]
Generated Node #0,1,0: 74:[12, 14] Operation: 86-72=14
Exploring Operation: 72+12=84, Resulting Numbers: [86, 84]
Generated Node #0,1,1: 74:[86, 84] Operation: 72+12=84
Exploring Operation: 86+12=98, Resulting Numbers: [72, 98]
Generated Node #0,1,2: 74:[72, 98] Operation: 86+12=98
Exploring Operation: 72/12=6, Resulting Numbers: [86, 6]
Generated Node #0,1,3: 74:[86, 6] Operation: 72/12=6
Exploring Operation: 86-12=74, Resulting Numbers: [72, 74]
Generated Node #0,1,4: 74:[72, 74] Operation: 86-12=74
Moving to Node #0,4
Current State: 74:[79, 72, 19], Operations: ['86-67=19']
Exploring Operation: 72-19=53, Resulting Numbers: [79, 53]
Generated Node #0,4,0: 74:[79, 53] Operation: 72-19=53
Exploring Operation: 79-72=7, Resulting Numbers: [19, 7]
Generated Node #0,4,1: 74:[19, 7] Operation: 79-72=7
Exploring Operation: 79-19=60, Resulting Numbers: [72, 60]
Generated Node #0,4,2: 74:[72, 60] Operation: 79-19=60
Exploring Operation: 72+19=91, Resulting Numbers: [79, 91]
Generated Node #0,4,3: 74:[79, 91] Operation: 72+19=91
Exploring Operation: 79+19=98, Resulting Numbers: [72, 98]
Generated Node #0,4,4: 74:[72, 98] Operation: 79+19=98
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 74:[72, 60], Operations: ['86-67=19', '79-19=60']
Exploring Operation: 72+60=132, Resulting Numbers: [132]
132,74 unequal: No Solution
Exploring Operation: 72-60=12, Resulting Numbers: [12]
12,74 unequal: No Solution
Exploring Operation: 72*60=4320, Resulting Numbers: [4320]
4320,74 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 #0,4,0
Current State: 74:[79, 53], Operations: ['86-67=19', '72-19=53']
Exploring Operation: 79*53=4187, Resulting Numbers: [4187]
4187,74 unequal: No Solution
Exploring Operation: 79-53=26, Resulting Numbers: [26]
26,74 unequal: No Solution
Exploring Operation: 79+53=132, Resulting Numbers: [132]
132,74 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 #0,4,1
Current State: 74:[19, 7], Operations: ['86-67=19', '79-72=7']
Exploring Operation: 19*7=133, Resulting Numbers: [133]
133,74 unequal: No Solution
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,74 unequal: No Solution
Exploring Operation: 19+7=26, Resulting Numbers: [26]
26,74 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 #0,4,3
Current State: 74:[79, 91], Operations: ['86-67=19', '72+19=91']
Exploring Operation: 79+91=170, Resulting Numbers: [170]
170,74 unequal: No Solution
Exploring Operation: 91-79=12, Resulting Numbers: [12]
12,74 unequal: No Solution
Exploring Operation: 79*91=7189, Resulting Numbers: [7189]
7189,74 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 #0,4,4
Current State: 74:[72, 98], Operations: ['86-67=19', '79+19=98']
Exploring Operation: 72*98=7056, Resulting Numbers: [7056]
7056,74 unequal: No Solution
Exploring Operation: 72+98=170, Resulting Numbers: [170]
170,74 unequal: No Solution
Exploring Operation: 98-72=26, Resulting Numbers: [26]
26,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,4
Current State: 74:[72, 74], Operations: ['79-67=12', '86-12=74']
Exploring Operation: 72*74=5328, Resulting Numbers: [5328]
5328,74 unequal: No Solution
Exploring Operation: 74-72=2, Resulting Numbers: [2]
2,74 unequal: No Solution
Exploring Operation: 72+74=146, Resulting Numbers: [146]
146,74 unequal: No Solution
Moving to Node #0,0,0
Current State: 74:[67, 79], Operations: ['79-72=7', '86-7=79']
Exploring Operation: 67+79=146, Resulting Numbers: [146]
146,74 unequal: No Solution
Exploring Operation: 67*79=5293, Resulting Numbers: [5293]
5293,74 unequal: No Solution
Exploring Operation: 79-67=12, Resulting Numbers: [12]
12,74 unequal: No Solution
Moving to Node #0,0,4
Current State: 74:[86, 74], Operations: ['79-72=7', '67+7=74']
Exploring Operation: 86*74=6364, Resulting Numbers: [6364]
6364,74 unequal: No Solution
Exploring Operation: 86+74=160, Resulting Numbers: [160]
160,74 unequal: No Solution
Exploring Operation: 86-74=12, Resulting Numbers: [12]
12,74 unequal: No Solution
Moving to Node #0,1,3
Current State: 74:[86, 6], Operations: ['79-67=12', '72/12=6']
Exploring Operation: 86+6=92, Resulting Numbers: [92]
92,74 unequal: No Solution
Exploring Operation: 86*6=516, Resulting Numbers: [516]
516,74 unequal: No Solution
Exploring Operation: 86-6=80, Resulting Numbers: [80]
80,74 unequal: No Solution
Moving to Node #0,0,2
Current State: 74:[7, 19], Operations: ['79-72=7', '86-67=19']
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,74 unequal: No Solution
Exploring Operation: 7*19=133, Resulting Numbers: [133]
133,74 unequal: No Solution
Exploring Operation: 7+19=26, Resulting Numbers: [26]
26,74 unequal: No Solution
Moving to Node #0,1,0
Current State: 74:[12, 14], Operations: ['79-67=12', '86-72=14']
Exploring Operation: 12*14=168, Resulting Numbers: [168]
168,74 unequal: No Solution
Exploring Operation: 14-12=2, Resulting Numbers: [2]
2,74 unequal: No Solution
Exploring Operation: 12+14=26, Resulting Numbers: [26]
26,74 unequal: No Solution
Moving to Node #0,1,1
Current State: 74:[86, 84], Operations: ['79-67=12', '72+12=84']
Exploring Operation: 86+84=170, Resulting Numbers: [170]
170,74 unequal: No Solution
Exploring Operation: 86-84=2, Resulting Numbers: [2]
2,74 unequal: No Solution
Exploring Operation: 86*84=7224, Resulting Numbers: [7224]
7224,74 unequal: No Solution
Moving to Node #0,0,1
Current State: 74:[67, 93], Operations: ['79-72=7', '86+7=93']
Exploring Operation: 67+93=160, Resulting Numbers: [160]
160,74 unequal: No Solution
Exploring Operation: 67*93=6231, Resulting Numbers: [6231]
6231,74 unequal: No Solution
Exploring Operation: 93-67=26, Resulting Numbers: [26]
26,74 unequal: No Solution
Moving to Node #0,1,2
Current State: 74:[72, 98], Operations: ['79-67=12', '86+12=98']
Exploring Operation: 72+98=170, Resulting Numbers: [170]
170,74 unequal: No Solution
Exploring Operation: 98-72=26, Resulting Numbers: [26]
26,74 unequal: No Solution
Exploring Operation: 72*98=7056, Resulting Numbers: [7056]
7056,74 unequal: No Solution
Moving to Node #0,0,3
Current State: 74:[86, 60], Operations: ['79-72=7', '67-7=60']
Exploring Operation: 86*60=5160, Resulting Numbers: [5160]
5160,74 unequal: No Solution
Exploring Operation: 86+60=146, Resulting Numbers: [146]
146,74 unequal: No Solution
Exploring Operation: 86-60=26, Resulting Numbers: [26]
26,74 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
22,
9,
44,
50
] | 25 | [
"22+9=31",
"50-44=6",
"31-6=25"
] | Current State: 25:[22, 9, 44, 50], Operations: []
Exploring Operation: 22+9=31, Resulting Numbers: [44, 50, 31]
Generated Node #2: [44, 50, 31] from Operation: 22+9=31
Current State: 25:[44, 50, 31], Operations: ['22+9=31']
Exploring Operation: 50-44=6, Resulting Numbers: [31, 6]
Generated Node #3: [31, 6] from Operation: 50-44=6
Current State: 25:[31, 6], Operations: ['22+9=31', '50-44=6']
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[22, 9, 44, 50], Operations: []
Exploring Operation: 50-44=6, Resulting Numbers: [22, 9, 6]
Generated Node #0,0: 25:[22, 9, 6] Operation: 50-44=6
Exploring Operation: 50-22=28, Resulting Numbers: [9, 44, 28]
Generated Node #0,1: 25:[9, 44, 28] Operation: 50-22=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[22, 9, 6], Operations: ['50-44=6']
Exploring Operation: 9-6=3, Resulting Numbers: [22, 3]
Generated Node #0,0,0: 25:[22, 3] Operation: 9-6=3
Exploring Operation: 22+9=31, Resulting Numbers: [6, 31]
Generated Node #0,0,1: 25:[6, 31] Operation: 22+9=31
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 25:[22, 3], Operations: ['50-44=6', '9-6=3']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,25 unequal: No Solution
Exploring Operation: 22+3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[22, 9, 44, 50], Operations: []
Exploring Operation: 50-44=6, Resulting Numbers: [22, 9, 6]
Generated Node #0,0: 25:[22, 9, 6] Operation: 50-44=6
Moving to Node #0,0
Current State: 25:[22, 9, 6], Operations: ['50-44=6']
Exploring Operation: 9-6=3, Resulting Numbers: [22, 3]
Generated Node #0,0,0: 25:[22, 3] Operation: 9-6=3
Moving to Node #0,0,0
Current State: 25:[22, 3], Operations: ['50-44=6', '9-6=3']
Exploring Operation: 22+3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
73,
71,
56,
76
] | 66 | [
"73-71=2",
"56+76=132",
"132/2=66"
] | Current State: 66:[73, 71, 56, 76], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [56, 76, 2]
Generated Node #2: [56, 76, 2] from Operation: 73-71=2
Current State: 66:[56, 76, 2], Operations: ['73-71=2']
Exploring Operation: 56+76=132, Resulting Numbers: [2, 132]
Generated Node #3: [2, 132] from Operation: 56+76=132
Current State: 66:[2, 132], Operations: ['73-71=2', '56+76=132']
Exploring Operation: 132/2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[73, 71, 56, 76], Operations: []
Exploring Operation: 76-71=5, Resulting Numbers: [73, 56, 5]
Generated Node #0,0: 66:[73, 56, 5] Operation: 76-71=5
Exploring Operation: 76-73=3, Resulting Numbers: [71, 56, 3]
Generated Node #0,1: 66:[71, 56, 3] Operation: 76-73=3
Exploring Operation: 76-56=20, Resulting Numbers: [73, 71, 20]
Generated Node #0,2: 66:[73, 71, 20] Operation: 76-56=20
Exploring Operation: 73-71=2, Resulting Numbers: [56, 76, 2]
Generated Node #0,3: 66:[56, 76, 2] Operation: 73-71=2
Start Sub Search at level 1: Moving to Node #0,2
Current State: 66:[73, 71, 20], Operations: ['76-56=20']
Exploring Operation: 73+20=93, Resulting Numbers: [71, 93]
Generated Node #0,2,0: 66:[71, 93] Operation: 73+20=93
Exploring Operation: 73-20=53, Resulting Numbers: [71, 53]
Generated Node #0,2,1: 66:[71, 53] Operation: 73-20=53
Exploring Operation: 71-20=51, Resulting Numbers: [73, 51]
Generated Node #0,2,2: 66:[73, 51] Operation: 71-20=51
Exploring Operation: 73-71=2, Resulting Numbers: [20, 2]
Generated Node #0,2,3: 66:[20, 2] Operation: 73-71=2
Moving to Node #0,2,3
Current State: 66:[20, 2], Operations: ['76-56=20', '73-71=2']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,66 unequal: No Solution
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,66 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,66 unequal: No Solution
Exploring Operation: 20*2=40, Resulting Numbers: [40]
40,66 unequal: No Solution
Moving to Node #0,2,1
Current State: 66:[71, 53], Operations: ['76-56=20', '73-20=53']
Exploring Operation: 71-53=18, Resulting Numbers: [18]
18,66 unequal: No Solution
Exploring Operation: 71+53=124, Resulting Numbers: [124]
124,66 unequal: No Solution
Exploring Operation: 71*53=3763, Resulting Numbers: [3763]
3763,66 unequal: No Solution
Moving to Node #0,2,2
Current State: 66:[73, 51], Operations: ['76-56=20', '71-20=51']
Exploring Operation: 73+51=124, Resulting Numbers: [124]
124,66 unequal: No Solution
Exploring Operation: 73-51=22, Resulting Numbers: [22]
22,66 unequal: No Solution
Exploring Operation: 73*51=3723, Resulting Numbers: [3723]
3723,66 unequal: No Solution
Moving to Node #0,2,0
Current State: 66:[71, 93], Operations: ['76-56=20', '73+20=93']
Exploring Operation: 71*93=6603, Resulting Numbers: [6603]
6603,66 unequal: No Solution
Exploring Operation: 71+93=164, Resulting Numbers: [164]
164,66 unequal: No Solution
Exploring Operation: 93-71=22, Resulting Numbers: [22]
22,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 66:[71, 56, 3], Operations: ['76-73=3']
Exploring Operation: 71+3=74, Resulting Numbers: [56, 74]
Generated Node #0,1,0: 66:[56, 74] Operation: 71+3=74
Exploring Operation: 56+3=59, Resulting Numbers: [71, 59]
Generated Node #0,1,1: 66:[71, 59] Operation: 56+3=59
Exploring Operation: 71-56=15, Resulting Numbers: [3, 15]
Generated Node #0,1,2: 66:[3, 15] Operation: 71-56=15
Exploring Operation: 71-3=68, Resulting Numbers: [56, 68]
Generated Node #0,1,3: 66:[56, 68] Operation: 71-3=68
Moving to Node #0,1,2
Current State: 66:[3, 15], Operations: ['76-73=3', '71-56=15']
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,66 unequal: No Solution
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,66 unequal: No Solution
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,66 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Moving to Node #0,1,3
Current State: 66:[56, 68], Operations: ['76-73=3', '71-3=68']
Exploring Operation: 68-56=12, Resulting Numbers: [12]
12,66 unequal: No Solution
Exploring Operation: 56+68=124, Resulting Numbers: [124]
124,66 unequal: No Solution
Exploring Operation: 56*68=3808, Resulting Numbers: [3808]
3808,66 unequal: No Solution
Moving to Node #0,1,1
Current State: 66:[71, 59], Operations: ['76-73=3', '56+3=59']
Exploring Operation: 71*59=4189, Resulting Numbers: [4189]
4189,66 unequal: No Solution
Exploring Operation: 71-59=12, Resulting Numbers: [12]
12,66 unequal: No Solution
Exploring Operation: 71+59=130, Resulting Numbers: [130]
130,66 unequal: No Solution
Moving to Node #0,1,0
Current State: 66:[56, 74], Operations: ['76-73=3', '71+3=74']
Exploring Operation: 74-56=18, Resulting Numbers: [18]
18,66 unequal: No Solution
Exploring Operation: 56*74=4144, Resulting Numbers: [4144]
4144,66 unequal: No Solution
Exploring Operation: 56+74=130, Resulting Numbers: [130]
130,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[73, 56, 5], Operations: ['76-71=5']
Exploring Operation: 73-56=17, Resulting Numbers: [5, 17]
Generated Node #0,0,0: 66:[5, 17] Operation: 73-56=17
Exploring Operation: 56+5=61, Resulting Numbers: [73, 61]
Generated Node #0,0,1: 66:[73, 61] Operation: 56+5=61
Exploring Operation: 73+5=78, Resulting Numbers: [56, 78]
Generated Node #0,0,2: 66:[56, 78] Operation: 73+5=78
Exploring Operation: 73-5=68, Resulting Numbers: [56, 68]
Generated Node #0,0,3: 66:[56, 68] Operation: 73-5=68
Moving to Node #0,0,0
Current State: 66:[5, 17], Operations: ['76-71=5', '73-56=17']
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,66 unequal: No Solution
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,66 unequal: No Solution
Exploring Operation: 5+17=22, Resulting Numbers: [22]
22,66 unequal: No Solution
Moving to Node #0,0,3
Current State: 66:[56, 68], Operations: ['76-71=5', '73-5=68']
Exploring Operation: 56*68=3808, Resulting Numbers: [3808]
3808,66 unequal: No Solution
Exploring Operation: 68-56=12, Resulting Numbers: [12]
12,66 unequal: No Solution
Exploring Operation: 56+68=124, Resulting Numbers: [124]
124,66 unequal: No Solution
Moving to Node #0,0,1
Current State: 66:[73, 61], Operations: ['76-71=5', '56+5=61']
Exploring Operation: 73+61=134, Resulting Numbers: [134]
134,66 unequal: No Solution
Exploring Operation: 73-61=12, Resulting Numbers: [12]
12,66 unequal: No Solution
Exploring Operation: 73*61=4453, Resulting Numbers: [4453]
4453,66 unequal: No Solution
Moving to Node #0,0,2
Current State: 66:[56, 78], Operations: ['76-71=5', '73+5=78']
Exploring Operation: 56+78=134, Resulting Numbers: [134]
134,66 unequal: No Solution
Exploring Operation: 56*78=4368, Resulting Numbers: [4368]
4368,66 unequal: No Solution
Exploring Operation: 78-56=22, Resulting Numbers: [22]
22,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 66:[56, 76, 2], Operations: ['73-71=2']
Exploring Operation: 56/2=28, Resulting Numbers: [76, 28]
Generated Node #0,3,0: 66:[76, 28] Operation: 56/2=28
Exploring Operation: 76-56=20, Resulting Numbers: [2, 20]
Generated Node #0,3,1: 66:[2, 20] Operation: 76-56=20
Exploring Operation: 76/2=38, Resulting Numbers: [56, 38]
Generated Node #0,3,2: 66:[56, 38] Operation: 76/2=38
Exploring Operation: 56+2=58, Resulting Numbers: [76, 58]
Generated Node #0,3,3: 66:[76, 58] Operation: 56+2=58
Moving to Node #0,3,1
Current State: 66:[2, 20], Operations: ['73-71=2', '76-56=20']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,66 unequal: No Solution
Exploring Operation: 2+20=22, Resulting Numbers: [22]
22,66 unequal: No Solution
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,66 unequal: No Solution
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,66 unequal: No Solution
Moving to Node #0,3,2
Current State: 66:[56, 38], Operations: ['73-71=2', '76/2=38']
Exploring Operation: 56*38=2128, Resulting Numbers: [2128]
2128,66 unequal: No Solution
Exploring Operation: 56-38=18, Resulting Numbers: [18]
18,66 unequal: No Solution
Exploring Operation: 56+38=94, Resulting Numbers: [94]
94,66 unequal: No Solution
Moving to Node #0,3,0
Current State: 66:[76, 28], Operations: ['73-71=2', '56/2=28']
Exploring Operation: 76-28=48, Resulting Numbers: [48]
48,66 unequal: No Solution
Exploring Operation: 76*28=2128, Resulting Numbers: [2128]
2128,66 unequal: No Solution
Exploring Operation: 76+28=104, Resulting Numbers: [104]
104,66 unequal: No Solution
Moving to Node #0,3,3
Current State: 66:[76, 58], Operations: ['73-71=2', '56+2=58']
Exploring Operation: 76-58=18, Resulting Numbers: [18]
18,66 unequal: No Solution
Exploring Operation: 76*58=4408, Resulting Numbers: [4408]
4408,66 unequal: No Solution
Exploring Operation: 76+58=134, Resulting Numbers: [134]
134,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
44,
97,
71,
59
] | 41 | [
"97-44=53",
"71-59=12",
"53-12=41"
] | Current State: 41:[44, 97, 71, 59], Operations: []
Exploring Operation: 97-44=53, Resulting Numbers: [71, 59, 53]
Generated Node #2: [71, 59, 53] from Operation: 97-44=53
Current State: 41:[71, 59, 53], Operations: ['97-44=53']
Exploring Operation: 71-59=12, Resulting Numbers: [53, 12]
Generated Node #3: [53, 12] from Operation: 71-59=12
Current State: 41:[53, 12], Operations: ['97-44=53', '71-59=12']
Exploring Operation: 53-12=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[44, 97, 71, 59], Operations: []
Exploring Operation: 97-71=26, Resulting Numbers: [44, 59, 26]
Generated Node #0,0: 41:[44, 59, 26] Operation: 97-71=26
Exploring Operation: 97-44=53, Resulting Numbers: [71, 59, 53]
Generated Node #0,1: 41:[71, 59, 53] Operation: 97-44=53
Exploring Operation: 71-44=27, Resulting Numbers: [97, 59, 27]
Generated Node #0,2: 41:[97, 59, 27] Operation: 71-44=27
Exploring Operation: 97-59=38, Resulting Numbers: [44, 71, 38]
Generated Node #0,3: 41:[44, 71, 38] Operation: 97-59=38
Moving to Node #0,0
Current State: 41:[44, 59, 26], Operations: ['97-71=26']
Exploring Operation: 59-44=15, Resulting Numbers: [26, 15]
Generated Node #0,0,0: 41:[26, 15] Operation: 59-44=15
Exploring Operation: 44-26=18, Resulting Numbers: [59, 18]
Generated Node #0,0,1: 41:[59, 18] Operation: 44-26=18
Exploring Operation: 59-26=33, Resulting Numbers: [44, 33]
Generated Node #0,0,2: 41:[44, 33] Operation: 59-26=33
Exploring Operation: 44+26=70, Resulting Numbers: [59, 70]
Generated Node #0,0,3: 41:[59, 70] Operation: 44+26=70
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 41:[44, 33], Operations: ['97-71=26', '59-26=33']
Exploring Operation: 44+33=77, Resulting Numbers: [77]
77,41 unequal: No Solution
Exploring Operation: 44*33=1452, Resulting Numbers: [1452]
1452,41 unequal: No Solution
Exploring Operation: 44-33=11, Resulting Numbers: [11]
11,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 41:[26, 15], Operations: ['97-71=26', '59-44=15']
Exploring Operation: 26-15=11, Resulting Numbers: [11]
11,41 unequal: No Solution
Exploring Operation: 26+15=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[44, 97, 71, 59], Operations: []
Exploring Operation: 97-71=26, Resulting Numbers: [44, 59, 26]
Generated Node #0,0: 41:[44, 59, 26] Operation: 97-71=26
Moving to Node #0,0
Current State: 41:[44, 59, 26], Operations: ['97-71=26']
Exploring Operation: 59-44=15, Resulting Numbers: [26, 15]
Generated Node #0,0,0: 41:[26, 15] Operation: 59-44=15
Moving to Node #0,0,0
Current State: 41:[26, 15], Operations: ['97-71=26', '59-44=15']
Exploring Operation: 26+15=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | mult_heuristic |
[
90,
25,
99,
89
] | 36 | [
"99-89=10",
"90*10=900",
"900/25=36"
] | Current State: 36:[90, 25, 99, 89], Operations: []
Exploring Operation: 99-89=10, Resulting Numbers: [90, 25, 10]
Generated Node #2: [90, 25, 10] from Operation: 99-89=10
Current State: 36:[90, 25, 10], Operations: ['99-89=10']
Exploring Operation: 90*10=900, Resulting Numbers: [25, 900]
Generated Node #3: [25, 900] from Operation: 90*10=900
Current State: 36:[25, 900], Operations: ['99-89=10', '90*10=900']
Exploring Operation: 900/25=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[90, 25, 99, 89], Operations: []
Exploring Operation: 99-90=9, Resulting Numbers: [25, 89, 9]
Generated Node #0,0: 36:[25, 89, 9] Operation: 99-90=9
Exploring Operation: 90-89=1, Resulting Numbers: [25, 99, 1]
Generated Node #0,1: 36:[25, 99, 1] Operation: 90-89=1
Exploring Operation: 99-89=10, Resulting Numbers: [90, 25, 10]
Generated Node #0,2: 36:[90, 25, 10] Operation: 99-89=10
Exploring Operation: 90-25=65, Resulting Numbers: [99, 89, 65]
Generated Node #0,3: 36:[99, 89, 65] Operation: 90-25=65
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[25, 89, 9], Operations: ['99-90=9']
Exploring Operation: 89-9=80, Resulting Numbers: [25, 80]
Generated Node #0,0,0: 36:[25, 80] Operation: 89-9=80
Exploring Operation: 25-9=16, Resulting Numbers: [89, 16]
Generated Node #0,0,1: 36:[89, 16] Operation: 25-9=16
Exploring Operation: 89-25=64, Resulting Numbers: [9, 64]
Generated Node #0,0,2: 36:[9, 64] Operation: 89-25=64
Exploring Operation: 25+9=34, Resulting Numbers: [89, 34]
Generated Node #0,0,3: 36:[89, 34] Operation: 25+9=34
Moving to Node #0,0,2
Current State: 36:[9, 64], Operations: ['99-90=9', '89-25=64']
Exploring Operation: 64-9=55, Resulting Numbers: [55]
55,36 unequal: No Solution
Exploring Operation: 9+64=73, Resulting Numbers: [73]
73,36 unequal: No Solution
Exploring Operation: 9*64=576, Resulting Numbers: [576]
576,36 unequal: No Solution
Moving to Node #0,0,0
Current State: 36:[25, 80], Operations: ['99-90=9', '89-9=80']
Exploring Operation: 25+80=105, Resulting Numbers: [105]
105,36 unequal: No Solution
Exploring Operation: 80-25=55, Resulting Numbers: [55]
55,36 unequal: No Solution
Exploring Operation: 25*80=2000, Resulting Numbers: [2000]
2000,36 unequal: No Solution
Moving to Node #0,0,3
Current State: 36:[89, 34], Operations: ['99-90=9', '25+9=34']
Exploring Operation: 89-34=55, Resulting Numbers: [55]
55,36 unequal: No Solution
Exploring Operation: 89+34=123, Resulting Numbers: [123]
123,36 unequal: No Solution
Exploring Operation: 89*34=3026, Resulting Numbers: [3026]
3026,36 unequal: No Solution
Moving to Node #0,0,1
Current State: 36:[89, 16], Operations: ['99-90=9', '25-9=16']
Exploring Operation: 89+16=105, Resulting Numbers: [105]
105,36 unequal: No Solution
Exploring Operation: 89-16=73, Resulting Numbers: [73]
73,36 unequal: No Solution
Exploring Operation: 89*16=1424, Resulting Numbers: [1424]
1424,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 36:[90, 25, 10], Operations: ['99-89=10']
Exploring Operation: 25+10=35, Resulting Numbers: [90, 35]
Generated Node #0,2,0: 36:[90, 35] Operation: 25+10=35
Exploring Operation: 90-25=65, Resulting Numbers: [10, 65]
Generated Node #0,2,1: 36:[10, 65] Operation: 90-25=65
Exploring Operation: 90-10=80, Resulting Numbers: [25, 80]
Generated Node #0,2,2: 36:[25, 80] Operation: 90-10=80
Exploring Operation: 90/10=9, Resulting Numbers: [25, 9]
Generated Node #0,2,3: 36:[25, 9] Operation: 90/10=9
Moving to Node #0,2,3
Current State: 36:[25, 9], Operations: ['99-89=10', '90/10=9']
Exploring Operation: 25*9=225, Resulting Numbers: [225]
225,36 unequal: No Solution
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,36 unequal: No Solution
Exploring Operation: 25+9=34, Resulting Numbers: [34]
34,36 unequal: No Solution
Moving to Node #0,2,1
Current State: 36:[10, 65], Operations: ['99-89=10', '90-25=65']
Exploring Operation: 10*65=650, Resulting Numbers: [650]
650,36 unequal: No Solution
Exploring Operation: 10+65=75, Resulting Numbers: [75]
75,36 unequal: No Solution
Exploring Operation: 65-10=55, Resulting Numbers: [55]
55,36 unequal: No Solution
Moving to Node #0,2,2
Current State: 36:[25, 80], Operations: ['99-89=10', '90-10=80']
Exploring Operation: 25+80=105, Resulting Numbers: [105]
105,36 unequal: No Solution
Exploring Operation: 80-25=55, Resulting Numbers: [55]
55,36 unequal: No Solution
Exploring Operation: 25*80=2000, Resulting Numbers: [2000]
2000,36 unequal: No Solution
Moving to Node #0,2,0
Current State: 36:[90, 35], Operations: ['99-89=10', '25+10=35']
Exploring Operation: 90*35=3150, Resulting Numbers: [3150]
3150,36 unequal: No Solution
Exploring Operation: 90-35=55, Resulting Numbers: [55]
55,36 unequal: No Solution
Exploring Operation: 90+35=125, Resulting Numbers: [125]
125,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[25, 99, 1], Operations: ['90-89=1']
Exploring Operation: 99-1=98, Resulting Numbers: [25, 98]
Generated Node #0,1,0: 36:[25, 98] Operation: 99-1=98
Exploring Operation: 25*1=25, Resulting Numbers: [99, 25]
Generated Node #0,1,1: 36:[99, 25] Operation: 25*1=25
Exploring Operation: 99-25=74, Resulting Numbers: [1, 74]
Generated Node #0,1,2: 36:[1, 74] Operation: 99-25=74
Exploring Operation: 25-1=24, Resulting Numbers: [99, 24]
Generated Node #0,1,3: 36:[99, 24] Operation: 25-1=24
Moving to Node #0,1,2
Current State: 36:[1, 74], Operations: ['90-89=1', '99-25=74']
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,36 unequal: No Solution
Exploring Operation: 74/1=74, Resulting Numbers: [74]
74,36 unequal: No Solution
Exploring Operation: 1+74=75, Resulting Numbers: [75]
75,36 unequal: No Solution
Exploring Operation: 1*74=74, Resulting Numbers: [74]
74,36 unequal: No Solution
Moving to Node #0,1,3
Current State: 36:[99, 24], Operations: ['90-89=1', '25-1=24']
Exploring Operation: 99-24=75, Resulting Numbers: [75]
75,36 unequal: No Solution
Exploring Operation: 99+24=123, Resulting Numbers: [123]
123,36 unequal: No Solution
Exploring Operation: 99*24=2376, Resulting Numbers: [2376]
2376,36 unequal: No Solution
Moving to Node #0,1,0
Current State: 36:[25, 98], Operations: ['90-89=1', '99-1=98']
Exploring Operation: 25+98=123, Resulting Numbers: [123]
123,36 unequal: No Solution
Exploring Operation: 25*98=2450, Resulting Numbers: [2450]
2450,36 unequal: No Solution
Exploring Operation: 98-25=73, Resulting Numbers: [73]
73,36 unequal: No Solution
Moving to Node #0,1,1
Current State: 36:[99, 25], Operations: ['90-89=1', '25*1=25']
Exploring Operation: 99*25=2475, Resulting Numbers: [2475]
2475,36 unequal: No Solution
Exploring Operation: 99-25=74, Resulting Numbers: [74]
74,36 unequal: No Solution
Exploring Operation: 99+25=124, Resulting Numbers: [124]
124,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 36:[99, 89, 65], Operations: ['90-25=65']
Exploring Operation: 99-65=34, Resulting Numbers: [89, 34]
Generated Node #0,3,0: 36:[89, 34] Operation: 99-65=34
Exploring Operation: 99+89=188, Resulting Numbers: [65, 188]
Generated Node #0,3,1: 36:[65, 188] Operation: 99+89=188
Exploring Operation: 99-89=10, Resulting Numbers: [65, 10]
Generated Node #0,3,2: 36:[65, 10] Operation: 99-89=10
Exploring Operation: 89-65=24, Resulting Numbers: [99, 24]
Generated Node #0,3,3: 36:[99, 24] Operation: 89-65=24
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 36:[65, 10], Operations: ['90-25=65', '99-89=10']
Exploring Operation: 65+10=75, Resulting Numbers: [75]
75,36 unequal: No Solution
Exploring Operation: 65-10=55, Resulting Numbers: [55]
55,36 unequal: No Solution
Exploring Operation: 65*10=650, Resulting Numbers: [650]
650,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 36:[89, 34], Operations: ['90-25=65', '99-65=34']
Exploring Operation: 89*34=3026, Resulting Numbers: [3026]
3026,36 unequal: No Solution
Exploring Operation: 89+34=123, Resulting Numbers: [123]
123,36 unequal: No Solution
Exploring Operation: 89-34=55, Resulting Numbers: [55]
55,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 36:[99, 24], Operations: ['90-25=65', '89-65=24']
Exploring Operation: 99+24=123, Resulting Numbers: [123]
123,36 unequal: No Solution
Exploring Operation: 99-24=75, Resulting Numbers: [75]
75,36 unequal: No Solution
Exploring Operation: 99*24=2376, Resulting Numbers: [2376]
2376,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 36:[65, 188], Operations: ['90-25=65', '99+89=188']
Exploring Operation: 65+188=253, Resulting Numbers: [253]
253,36 unequal: No Solution
Exploring Operation: 188-65=123, Resulting Numbers: [123]
123,36 unequal: No Solution
Exploring Operation: 65*188=12220, Resulting Numbers: [12220]
12220,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
93,
4,
43,
43
] | 28 | [
"93-43=50",
"50-43=7",
"4*7=28"
] | Current State: 28:[93, 4, 43, 43], Operations: []
Exploring Operation: 93-43=50, Resulting Numbers: [4, 50]
Generated Node #2: [4, 50] from Operation: 93-43=50
Current State: 28:[4, 50], Operations: ['93-43=50']
Exploring Operation: 50-43=7, Resulting Numbers: [4, 7]
Generated Node #3: [4, 7] from Operation: 50-43=7
Current State: 28:[4, 7], Operations: ['93-43=50', '50-43=7']
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[93, 4, 43, 43], Operations: []
Exploring Operation: 93-4=89, Resulting Numbers: [43, 43, 89]
Generated Node #0,0: 28:[43, 43, 89] Operation: 93-4=89
Exploring Operation: 43/43=1, Resulting Numbers: [93, 4, 1]
Generated Node #0,1: 28:[93, 4, 1] Operation: 43/43=1
Exploring Operation: 93-43=50, Resulting Numbers: [4, 43, 50]
Generated Node #0,2: 28:[4, 43, 50] Operation: 93-43=50
Exploring Operation: 93-43=50, Resulting Numbers: [4, 43, 50]
Generated Node #0,3: 28:[4, 43, 50] Operation: 93-43=50
Exploring Operation: 43-43=0, Resulting Numbers: [93, 4, 0]
Generated Node #0,4: 28:[93, 4, 0] Operation: 43-43=0
Start Sub Search at level 1: Moving to Node #0,2
Current State: 28:[4, 43, 50], Operations: ['93-43=50']
Exploring Operation: 4+50=54, Resulting Numbers: [43, 54]
Generated Node #0,2,0: 28:[43, 54] Operation: 4+50=54
Exploring Operation: 50-4=46, Resulting Numbers: [43, 46]
Generated Node #0,2,1: 28:[43, 46] Operation: 50-4=46
Exploring Operation: 43-4=39, Resulting Numbers: [50, 39]
Generated Node #0,2,2: 28:[50, 39] Operation: 43-4=39
Exploring Operation: 4+43=47, Resulting Numbers: [50, 47]
Generated Node #0,2,3: 28:[50, 47] Operation: 4+43=47
Exploring Operation: 50-43=7, Resulting Numbers: [4, 7]
Generated Node #0,2,4: 28:[4, 7] Operation: 50-43=7
Moving to Node #0,2,4
Current State: 28:[4, 7], Operations: ['93-43=50', '50-43=7']
Exploring Operation: 4+7=11, Resulting Numbers: [11]
11,28 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,28 unequal: No Solution
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[93, 4, 43, 43], Operations: []
Exploring Operation: 93-43=50, Resulting Numbers: [4, 43, 50]
Generated Node #0,2: 28:[4, 43, 50] Operation: 93-43=50
Moving to Node #0,2
Current State: 28:[4, 43, 50], Operations: ['93-43=50']
Exploring Operation: 50-43=7, Resulting Numbers: [4, 7]
Generated Node #0,2,4: 28:[4, 7] Operation: 50-43=7
Moving to Node #0,2,4
Current State: 28:[4, 7], Operations: ['93-43=50', '50-43=7']
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
88,
44,
50,
92
] | 86 | [
"88-44=44",
"92-50=42",
"44+42=86"
] | Current State: 86:[88, 44, 50, 92], Operations: []
Exploring Operation: 88-44=44, Resulting Numbers: [50, 92, 44]
Generated Node #2: [50, 92, 44] from Operation: 88-44=44
Current State: 86:[50, 92, 44], Operations: ['88-44=44']
Exploring Operation: 92-50=42, Resulting Numbers: [44, 42]
Generated Node #3: [44, 42] from Operation: 92-50=42
Current State: 86:[44, 42], Operations: ['88-44=44', '92-50=42']
Exploring Operation: 44+42=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[88, 44, 50, 92], Operations: []
Exploring Operation: 88-50=38, Resulting Numbers: [44, 92, 38]
Generated Node #0,0: 86:[44, 92, 38] Operation: 88-50=38
Exploring Operation: 92-88=4, Resulting Numbers: [44, 50, 4]
Generated Node #0,1: 86:[44, 50, 4] Operation: 92-88=4
Exploring Operation: 92-50=42, Resulting Numbers: [88, 44, 42]
Generated Node #0,2: 86:[88, 44, 42] Operation: 92-50=42
Start Sub Search at level 1: Moving to Node #0,2
Current State: 86:[88, 44, 42], Operations: ['92-50=42']
Exploring Operation: 44+42=86, Resulting Numbers: [88, 86]
Generated Node #0,2,0: 86:[88, 86] Operation: 44+42=86
Exploring Operation: 88/44=2, Resulting Numbers: [42, 2]
Generated Node #0,2,1: 86:[42, 2] Operation: 88/44=2
Exploring Operation: 88-44=44, Resulting Numbers: [42, 44]
Generated Node #0,2,2: 86:[42, 44] Operation: 88-44=44
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 86:[42, 2], Operations: ['92-50=42', '88/44=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,86 unequal: No Solution
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Exploring Operation: 42+2=44, Resulting Numbers: [44]
44,86 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 #0,2,0
Current State: 86:[88, 86], Operations: ['92-50=42', '44+42=86']
Exploring Operation: 88-86=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Exploring Operation: 88+86=174, Resulting Numbers: [174]
174,86 unequal: No Solution
Exploring Operation: 88*86=7568, Resulting Numbers: [7568]
7568,86 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 #0,2,2
Current State: 86:[42, 44], Operations: ['92-50=42', '88-44=44']
Exploring Operation: 42*44=1848, Resulting Numbers: [1848]
1848,86 unequal: No Solution
Exploring Operation: 44-42=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Exploring Operation: 42+44=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[88, 44, 50, 92], Operations: []
Exploring Operation: 92-50=42, Resulting Numbers: [88, 44, 42]
Generated Node #0,2: 86:[88, 44, 42] Operation: 92-50=42
Moving to Node #0,2
Current State: 86:[88, 44, 42], Operations: ['92-50=42']
Exploring Operation: 88-44=44, Resulting Numbers: [42, 44]
Generated Node #0,2,2: 86:[42, 44] Operation: 88-44=44
Moving to Node #0,2,2
Current State: 86:[42, 44], Operations: ['92-50=42', '88-44=44']
Exploring Operation: 42+44=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_3 | mult_heuristic |
[
86,
69,
8,
48
] | 99 | [
"86+69=155",
"8+48=56",
"155-56=99"
] | Current State: 99:[86, 69, 8, 48], Operations: []
Exploring Operation: 86+69=155, Resulting Numbers: [8, 48, 155]
Generated Node #2: [8, 48, 155] from Operation: 86+69=155
Current State: 99:[8, 48, 155], Operations: ['86+69=155']
Exploring Operation: 8+48=56, Resulting Numbers: [155, 56]
Generated Node #3: [155, 56] from Operation: 8+48=56
Current State: 99:[155, 56], Operations: ['86+69=155', '8+48=56']
Exploring Operation: 155-56=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[86, 69, 8, 48], Operations: []
Exploring Operation: 69-48=21, Resulting Numbers: [86, 8, 21]
Generated Node #0,0: 99:[86, 8, 21] Operation: 69-48=21
Exploring Operation: 86-69=17, Resulting Numbers: [8, 48, 17]
Generated Node #0,1: 99:[8, 48, 17] Operation: 86-69=17
Start Sub Search at level 1: Moving to Node #0,1
Current State: 99:[8, 48, 17], Operations: ['86-69=17']
Exploring Operation: 48-17=31, Resulting Numbers: [8, 31]
Generated Node #0,1,0: 99:[8, 31] Operation: 48-17=31
Exploring Operation: 48/8=6, Resulting Numbers: [17, 6]
Generated Node #0,1,1: 99:[17, 6] Operation: 48/8=6
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 99:[8, 31], Operations: ['86-69=17', '48-17=31']
Exploring Operation: 8+31=39, Resulting Numbers: [39]
39,99 unequal: No Solution
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,99 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:[17, 6], Operations: ['86-69=17', '48/8=6']
Exploring Operation: 17*6=102, Resulting Numbers: [102]
102,99 unequal: No Solution
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,99 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:[86, 8, 21], Operations: ['69-48=21']
Exploring Operation: 86+21=107, Resulting Numbers: [8, 107]
Generated Node #0,0,0: 99:[8, 107] Operation: 86+21=107
Exploring Operation: 86+8=94, Resulting Numbers: [21, 94]
Generated Node #0,0,1: 99:[21, 94] Operation: 86+8=94
Moving to Node #0,0,0
Current State: 99:[8, 107], Operations: ['69-48=21', '86+21=107']
Exploring Operation: 107-8=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[86, 69, 8, 48], Operations: []
Exploring Operation: 69-48=21, Resulting Numbers: [86, 8, 21]
Generated Node #0,0: 99:[86, 8, 21] Operation: 69-48=21
Moving to Node #0,0
Current State: 99:[86, 8, 21], Operations: ['69-48=21']
Exploring Operation: 86+21=107, Resulting Numbers: [8, 107]
Generated Node #0,0,0: 99:[8, 107] Operation: 86+21=107
Moving to Node #0,0,0
Current State: 99:[8, 107], Operations: ['69-48=21', '86+21=107']
Exploring Operation: 107-8=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | mult_heuristic |
[
35,
7,
65,
91
] | 54 | [
"35-7=28",
"91-65=26",
"28+26=54"
] | Current State: 54:[35, 7, 65, 91], Operations: []
Exploring Operation: 35-7=28, Resulting Numbers: [65, 91, 28]
Generated Node #2: [65, 91, 28] from Operation: 35-7=28
Current State: 54:[65, 91, 28], Operations: ['35-7=28']
Exploring Operation: 91-65=26, Resulting Numbers: [28, 26]
Generated Node #3: [28, 26] from Operation: 91-65=26
Current State: 54:[28, 26], Operations: ['35-7=28', '91-65=26']
Exploring Operation: 28+26=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[35, 7, 65, 91], Operations: []
Exploring Operation: 91-65=26, Resulting Numbers: [35, 7, 26]
Generated Node #0,0: 54:[35, 7, 26] Operation: 91-65=26
Exploring Operation: 91-35=56, Resulting Numbers: [7, 65, 56]
Generated Node #0,1: 54:[7, 65, 56] Operation: 91-35=56
Moving to Node #0,0
Current State: 54:[35, 7, 26], Operations: ['91-65=26']
Exploring Operation: 35-7=28, Resulting Numbers: [26, 28]
Generated Node #0,0,0: 54:[26, 28] Operation: 35-7=28
Exploring Operation: 35-26=9, Resulting Numbers: [7, 9]
Generated Node #0,0,1: 54:[7, 9] Operation: 35-26=9
Moving to Node #0,1
Current State: 54:[7, 65, 56], Operations: ['91-35=56']
Exploring Operation: 65-7=58, Resulting Numbers: [56, 58]
Generated Node #0,1,0: 54:[56, 58] Operation: 65-7=58
Exploring Operation: 65-56=9, Resulting Numbers: [7, 9]
Generated Node #0,1,1: 54:[7, 9] Operation: 65-56=9
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 54:[7, 9], Operations: ['91-35=56', '65-56=9']
Exploring Operation: 7+9=16, Resulting Numbers: [16]
16,54 unequal: No Solution
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 54:[56, 58], Operations: ['91-35=56', '65-7=58']
Exploring Operation: 58-56=2, Resulting Numbers: [2]
2,54 unequal: No Solution
Exploring Operation: 56+58=114, Resulting Numbers: [114]
114,54 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: 54:[7, 9], Operations: ['91-65=26', '35-26=9']
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,54 unequal: No Solution
Exploring Operation: 7+9=16, Resulting Numbers: [16]
16,54 unequal: No Solution
Moving to Node #0,0,0
Current State: 54:[26, 28], Operations: ['91-65=26', '35-7=28']
Exploring Operation: 28-26=2, Resulting Numbers: [2]
2,54 unequal: No Solution
Exploring Operation: 26+28=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[35, 7, 65, 91], Operations: []
Exploring Operation: 91-65=26, Resulting Numbers: [35, 7, 26]
Generated Node #0,0: 54:[35, 7, 26] Operation: 91-65=26
Moving to Node #0,0
Current State: 54:[35, 7, 26], Operations: ['91-65=26']
Exploring Operation: 35-7=28, Resulting Numbers: [26, 28]
Generated Node #0,0,0: 54:[26, 28] Operation: 35-7=28
Moving to Node #0,0,0
Current State: 54:[26, 28], Operations: ['91-65=26', '35-7=28']
Exploring Operation: 26+28=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 0.984375 | hs_2 | mult_heuristic |
[
58,
54,
28,
6
] | 38 | [
"58-54=4",
"28+6=34",
"4+34=38"
] | Current State: 38:[58, 54, 28, 6], Operations: []
Exploring Operation: 58-54=4, Resulting Numbers: [28, 6, 4]
Generated Node #2: [28, 6, 4] from Operation: 58-54=4
Current State: 38:[28, 6, 4], Operations: ['58-54=4']
Exploring Operation: 28+6=34, Resulting Numbers: [4, 34]
Generated Node #3: [4, 34] from Operation: 28+6=34
Current State: 38:[4, 34], Operations: ['58-54=4', '28+6=34']
Exploring Operation: 4+34=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[58, 54, 28, 6], Operations: []
Exploring Operation: 58-54=4, Resulting Numbers: [28, 6, 4]
Generated Node #0,0: 38:[28, 6, 4] Operation: 58-54=4
Exploring Operation: 58-28=30, Resulting Numbers: [54, 6, 30]
Generated Node #0,1: 38:[54, 6, 30] Operation: 58-28=30
Exploring Operation: 54/6=9, Resulting Numbers: [58, 28, 9]
Generated Node #0,2: 38:[58, 28, 9] Operation: 54/6=9
Exploring Operation: 54-28=26, Resulting Numbers: [58, 6, 26]
Generated Node #0,3: 38:[58, 6, 26] Operation: 54-28=26
Moving to Node #0,0
Current State: 38:[28, 6, 4], Operations: ['58-54=4']
Exploring Operation: 28-6=22, Resulting Numbers: [4, 22]
Generated Node #0,0,0: 38:[4, 22] Operation: 28-6=22
Exploring Operation: 28/4=7, Resulting Numbers: [6, 7]
Generated Node #0,0,1: 38:[6, 7] Operation: 28/4=7
Exploring Operation: 28-4=24, Resulting Numbers: [6, 24]
Generated Node #0,0,2: 38:[6, 24] Operation: 28-4=24
Exploring Operation: 28+6=34, Resulting Numbers: [4, 34]
Generated Node #0,0,3: 38:[4, 34] Operation: 28+6=34
Moving to Node #0,1
Current State: 38:[54, 6, 30], Operations: ['58-28=30']
Exploring Operation: 54-30=24, Resulting Numbers: [6, 24]
Generated Node #0,1,0: 38:[6, 24] Operation: 54-30=24
Exploring Operation: 54-6=48, Resulting Numbers: [30, 48]
Generated Node #0,1,1: 38:[30, 48] Operation: 54-6=48
Exploring Operation: 54/6=9, Resulting Numbers: [30, 9]
Generated Node #0,1,2: 38:[30, 9] Operation: 54/6=9
Exploring Operation: 6+30=36, Resulting Numbers: [54, 36]
Generated Node #0,1,3: 38:[54, 36] Operation: 6+30=36
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 38:[6, 24], Operations: ['58-28=30', '54-30=24']
Exploring Operation: 6*24=144, Resulting Numbers: [144]
144,38 unequal: No Solution
Exploring Operation: 6+24=30, Resulting Numbers: [30]
30,38 unequal: No Solution
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,38 unequal: No Solution
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 38:[30, 9], Operations: ['58-28=30', '54/6=9']
Exploring Operation: 30+9=39, Resulting Numbers: [39]
39,38 unequal: No Solution
Exploring Operation: 30-9=21, Resulting Numbers: [21]
21,38 unequal: No Solution
Exploring Operation: 30*9=270, Resulting Numbers: [270]
270,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 38:[30, 48], Operations: ['58-28=30', '54-6=48']
Exploring Operation: 30+48=78, Resulting Numbers: [78]
78,38 unequal: No Solution
Exploring Operation: 30*48=1440, Resulting Numbers: [1440]
1440,38 unequal: No Solution
Exploring Operation: 48-30=18, Resulting Numbers: [18]
18,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 38:[54, 36], Operations: ['58-28=30', '6+30=36']
Exploring Operation: 54+36=90, Resulting Numbers: [90]
90,38 unequal: No Solution
Exploring Operation: 54-36=18, Resulting Numbers: [18]
18,38 unequal: No Solution
Exploring Operation: 54*36=1944, Resulting Numbers: [1944]
1944,38 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: 38:[58, 6, 26], Operations: ['54-28=26']
Exploring Operation: 6+26=32, Resulting Numbers: [58, 32]
Generated Node #0,3,0: 38:[58, 32] Operation: 6+26=32
Exploring Operation: 26-6=20, Resulting Numbers: [58, 20]
Generated Node #0,3,1: 38:[58, 20] Operation: 26-6=20
Exploring Operation: 58-6=52, Resulting Numbers: [26, 52]
Generated Node #0,3,2: 38:[26, 52] Operation: 58-6=52
Exploring Operation: 58-26=32, Resulting Numbers: [6, 32]
Generated Node #0,3,3: 38:[6, 32] Operation: 58-26=32
Moving to Node #0,2
Current State: 38:[58, 28, 9], Operations: ['54/6=9']
Exploring Operation: 28+9=37, Resulting Numbers: [58, 37]
Generated Node #0,2,0: 38:[58, 37] Operation: 28+9=37
Exploring Operation: 58-28=30, Resulting Numbers: [9, 30]
Generated Node #0,2,1: 38:[9, 30] Operation: 58-28=30
Exploring Operation: 58-9=49, Resulting Numbers: [28, 49]
Generated Node #0,2,2: 38:[28, 49] Operation: 58-9=49
Exploring Operation: 28-9=19, Resulting Numbers: [58, 19]
Generated Node #0,2,3: 38:[58, 19] Operation: 28-9=19
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 38:[9, 30], Operations: ['54/6=9', '58-28=30']
Exploring Operation: 9+30=39, Resulting Numbers: [39]
39,38 unequal: No Solution
Exploring Operation: 30-9=21, Resulting Numbers: [21]
21,38 unequal: No Solution
Exploring Operation: 9*30=270, Resulting Numbers: [270]
270,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 38:[28, 49], Operations: ['54/6=9', '58-9=49']
Exploring Operation: 28+49=77, Resulting Numbers: [77]
77,38 unequal: No Solution
Exploring Operation: 28*49=1372, Resulting Numbers: [1372]
1372,38 unequal: No Solution
Exploring Operation: 49-28=21, Resulting Numbers: [21]
21,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 38:[58, 19], Operations: ['54/6=9', '28-9=19']
Exploring Operation: 58-19=39, Resulting Numbers: [39]
39,38 unequal: No Solution
Exploring Operation: 58*19=1102, Resulting Numbers: [1102]
1102,38 unequal: No Solution
Exploring Operation: 58+19=77, Resulting Numbers: [77]
77,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 38:[58, 37], Operations: ['54/6=9', '28+9=37']
Exploring Operation: 58-37=21, Resulting Numbers: [21]
21,38 unequal: No Solution
Exploring Operation: 58*37=2146, Resulting Numbers: [2146]
2146,38 unequal: No Solution
Exploring Operation: 58+37=95, Resulting Numbers: [95]
95,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 38:[4, 22], Operations: ['58-54=4', '28-6=22']
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,38 unequal: No Solution
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,38 unequal: No Solution
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,38 unequal: No Solution
Moving to Node #0,0,3
Current State: 38:[4, 34], Operations: ['58-54=4', '28+6=34']
Exploring Operation: 4*34=136, Resulting Numbers: [136]
136,38 unequal: No Solution
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,38 unequal: No Solution
Exploring Operation: 4+34=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[58, 54, 28, 6], Operations: []
Exploring Operation: 58-54=4, Resulting Numbers: [28, 6, 4]
Generated Node #0,0: 38:[28, 6, 4] Operation: 58-54=4
Moving to Node #0,0
Current State: 38:[28, 6, 4], Operations: ['58-54=4']
Exploring Operation: 28+6=34, Resulting Numbers: [4, 34]
Generated Node #0,0,3: 38:[4, 34] Operation: 28+6=34
Moving to Node #0,0,3
Current State: 38:[4, 34], Operations: ['58-54=4', '28+6=34']
Exploring Operation: 4+34=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 0.952257 | hs_4 | mult_heuristic |
[
10,
13,
27,
62
] | 38 | [
"13-10=3",
"62-27=35",
"3+35=38"
] | Current State: 38:[10, 13, 27, 62], Operations: []
Exploring Operation: 13-10=3, Resulting Numbers: [27, 62, 3]
Generated Node #2: [27, 62, 3] from Operation: 13-10=3
Current State: 38:[27, 62, 3], Operations: ['13-10=3']
Exploring Operation: 62-27=35, Resulting Numbers: [3, 35]
Generated Node #3: [3, 35] from Operation: 62-27=35
Current State: 38:[3, 35], Operations: ['13-10=3', '62-27=35']
Exploring Operation: 3+35=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[10, 13, 27, 62], Operations: []
Exploring Operation: 62-10=52, Resulting Numbers: [13, 27, 52]
Generated Node #0,0: 38:[13, 27, 52] Operation: 62-10=52
Exploring Operation: 62-13=49, Resulting Numbers: [10, 27, 49]
Generated Node #0,1: 38:[10, 27, 49] Operation: 62-13=49
Exploring Operation: 62-27=35, Resulting Numbers: [10, 13, 35]
Generated Node #0,2: 38:[10, 13, 35] Operation: 62-27=35
Exploring Operation: 10+27=37, Resulting Numbers: [13, 62, 37]
Generated Node #0,3: 38:[13, 62, 37] Operation: 10+27=37
Moving to Node #0,2
Current State: 38:[10, 13, 35], Operations: ['62-27=35']
Exploring Operation: 35-13=22, Resulting Numbers: [10, 22]
Generated Node #0,2,0: 38:[10, 22] Operation: 35-13=22
Exploring Operation: 35-10=25, Resulting Numbers: [13, 25]
Generated Node #0,2,1: 38:[13, 25] Operation: 35-10=25
Exploring Operation: 10+13=23, Resulting Numbers: [35, 23]
Generated Node #0,2,2: 38:[35, 23] Operation: 10+13=23
Exploring Operation: 13-10=3, Resulting Numbers: [35, 3]
Generated Node #0,2,3: 38:[35, 3] Operation: 13-10=3
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 38:[35, 3], Operations: ['62-27=35', '13-10=3']
Exploring Operation: 35+3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[10, 13, 27, 62], Operations: []
Exploring Operation: 62-27=35, Resulting Numbers: [10, 13, 35]
Generated Node #0,2: 38:[10, 13, 35] Operation: 62-27=35
Moving to Node #0,2
Current State: 38:[10, 13, 35], Operations: ['62-27=35']
Exploring Operation: 13-10=3, Resulting Numbers: [35, 3]
Generated Node #0,2,3: 38:[35, 3] Operation: 13-10=3
Moving to Node #0,2,3
Current State: 38:[35, 3], Operations: ['62-27=35', '13-10=3']
Exploring Operation: 35+3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
10,
15,
69,
65
] | 56 | [
"15-10=5",
"65/5=13",
"69-13=56"
] | Current State: 56:[10, 15, 69, 65], Operations: []
Exploring Operation: 15-10=5, Resulting Numbers: [69, 65, 5]
Generated Node #2: [69, 65, 5] from Operation: 15-10=5
Current State: 56:[69, 65, 5], Operations: ['15-10=5']
Exploring Operation: 65/5=13, Resulting Numbers: [69, 13]
Generated Node #3: [69, 13] from Operation: 65/5=13
Current State: 56:[69, 13], Operations: ['15-10=5', '65/5=13']
Exploring Operation: 69-13=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[10, 15, 69, 65], Operations: []
Exploring Operation: 69-15=54, Resulting Numbers: [10, 65, 54]
Generated Node #0,0: 56:[10, 65, 54] Operation: 69-15=54
Exploring Operation: 65-10=55, Resulting Numbers: [15, 69, 55]
Generated Node #0,1: 56:[15, 69, 55] Operation: 65-10=55
Exploring Operation: 69-65=4, Resulting Numbers: [10, 15, 4]
Generated Node #0,2: 56:[10, 15, 4] Operation: 69-65=4
Exploring Operation: 69-10=59, Resulting Numbers: [15, 65, 59]
Generated Node #0,3: 56:[15, 65, 59] Operation: 69-10=59
Exploring Operation: 65-15=50, Resulting Numbers: [10, 69, 50]
Generated Node #0,4: 56:[10, 69, 50] Operation: 65-15=50
Start Sub Search at level 1: Moving to Node #0,2
Current State: 56:[10, 15, 4], Operations: ['69-65=4']
Exploring Operation: 10+4=14, Resulting Numbers: [15, 14]
Generated Node #0,2,0: 56:[15, 14] Operation: 10+4=14
Exploring Operation: 15-4=11, Resulting Numbers: [10, 11]
Generated Node #0,2,1: 56:[10, 11] Operation: 15-4=11
Exploring Operation: 10-4=6, Resulting Numbers: [15, 6]
Generated Node #0,2,2: 56:[15, 6] Operation: 10-4=6
Exploring Operation: 10+15=25, Resulting Numbers: [4, 25]
Generated Node #0,2,3: 56:[4, 25] Operation: 10+15=25
Exploring Operation: 15-10=5, Resulting Numbers: [4, 5]
Generated Node #0,2,4: 56:[4, 5] Operation: 15-10=5
Moving to Node #0,2,0
Current State: 56:[15, 14], Operations: ['69-65=4', '10+4=14']
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 15+14=29, Resulting Numbers: [29]
29,56 unequal: No Solution
Exploring Operation: 15*14=210, Resulting Numbers: [210]
210,56 unequal: No Solution
Moving to Node #0,2,4
Current State: 56:[4, 5], Operations: ['69-65=4', '15-10=5']
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,56 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,56 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Moving to Node #0,2,2
Current State: 56:[15, 6], Operations: ['69-65=4', '10-4=6']
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,56 unequal: No Solution
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,56 unequal: No Solution
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,56 unequal: No Solution
Moving to Node #0,2,3
Current State: 56:[4, 25], Operations: ['69-65=4', '10+15=25']
Exploring Operation: 4+25=29, Resulting Numbers: [29]
29,56 unequal: No Solution
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,56 unequal: No Solution
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,56 unequal: No Solution
Moving to Node #0,2,1
Current State: 56:[10, 11], Operations: ['69-65=4', '15-4=11']
Exploring Operation: 10*11=110, Resulting Numbers: [110]
110,56 unequal: No Solution
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,56 unequal: No Solution
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[10, 65, 54], Operations: ['69-15=54']
Exploring Operation: 10+54=64, Resulting Numbers: [65, 64]
Generated Node #0,0,0: 56:[65, 64] Operation: 10+54=64
Exploring Operation: 54-10=44, Resulting Numbers: [65, 44]
Generated Node #0,0,1: 56:[65, 44] Operation: 54-10=44
Exploring Operation: 65-54=11, Resulting Numbers: [10, 11]
Generated Node #0,0,2: 56:[10, 11] Operation: 65-54=11
Exploring Operation: 65-10=55, Resulting Numbers: [54, 55]
Generated Node #0,0,3: 56:[54, 55] Operation: 65-10=55
Exploring Operation: 10+65=75, Resulting Numbers: [54, 75]
Generated Node #0,0,4: 56:[54, 75] Operation: 10+65=75
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 56:[54, 55], Operations: ['69-15=54', '65-10=55']
Exploring Operation: 54+55=109, Resulting Numbers: [109]
109,56 unequal: No Solution
Exploring Operation: 55-54=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 54*55=2970, Resulting Numbers: [2970]
2970,56 unequal: No Solution
No 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: 56:[10, 11], Operations: ['69-15=54', '65-54=11']
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 10*11=110, Resulting Numbers: [110]
110,56 unequal: No Solution
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,56 unequal: No Solution
No 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: 56:[65, 64], Operations: ['69-15=54', '10+54=64']
Exploring Operation: 65+64=129, Resulting Numbers: [129]
129,56 unequal: No Solution
Exploring Operation: 65*64=4160, Resulting Numbers: [4160]
4160,56 unequal: No Solution
Exploring Operation: 65-64=1, Resulting Numbers: [1]
1,56 unequal: No Solution
No 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: 56:[65, 44], Operations: ['69-15=54', '54-10=44']
Exploring Operation: 65-44=21, Resulting Numbers: [21]
21,56 unequal: No Solution
Exploring Operation: 65+44=109, Resulting Numbers: [109]
109,56 unequal: No Solution
Exploring Operation: 65*44=2860, Resulting Numbers: [2860]
2860,56 unequal: No Solution
No 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: 56:[54, 75], Operations: ['69-15=54', '10+65=75']
Exploring Operation: 75-54=21, Resulting Numbers: [21]
21,56 unequal: No Solution
Exploring Operation: 54*75=4050, Resulting Numbers: [4050]
4050,56 unequal: No Solution
Exploring Operation: 54+75=129, Resulting Numbers: [129]
129,56 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: 56:[15, 65, 59], Operations: ['69-10=59']
Exploring Operation: 59-15=44, Resulting Numbers: [65, 44]
Generated Node #0,3,0: 56:[65, 44] Operation: 59-15=44
Exploring Operation: 15+65=80, Resulting Numbers: [59, 80]
Generated Node #0,3,1: 56:[59, 80] Operation: 15+65=80
Exploring Operation: 15+59=74, Resulting Numbers: [65, 74]
Generated Node #0,3,2: 56:[65, 74] Operation: 15+59=74
Exploring Operation: 65-15=50, Resulting Numbers: [59, 50]
Generated Node #0,3,3: 56:[59, 50] Operation: 65-15=50
Exploring Operation: 65-59=6, Resulting Numbers: [15, 6]
Generated Node #0,3,4: 56:[15, 6] Operation: 65-59=6
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 56:[15, 6], Operations: ['69-10=59', '65-59=6']
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,56 unequal: No Solution
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,56 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,56 unequal: No Solution
No 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: 56:[59, 50], Operations: ['69-10=59', '65-15=50']
Exploring Operation: 59+50=109, Resulting Numbers: [109]
109,56 unequal: No Solution
Exploring Operation: 59-50=9, Resulting Numbers: [9]
9,56 unequal: No Solution
Exploring Operation: 59*50=2950, Resulting Numbers: [2950]
2950,56 unequal: No Solution
No 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: 56:[65, 44], Operations: ['69-10=59', '59-15=44']
Exploring Operation: 65*44=2860, Resulting Numbers: [2860]
2860,56 unequal: No Solution
Exploring Operation: 65+44=109, Resulting Numbers: [109]
109,56 unequal: No Solution
Exploring Operation: 65-44=21, Resulting Numbers: [21]
21,56 unequal: No Solution
No 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: 56:[59, 80], Operations: ['69-10=59', '15+65=80']
Exploring Operation: 80-59=21, Resulting Numbers: [21]
21,56 unequal: No Solution
Exploring Operation: 59+80=139, Resulting Numbers: [139]
139,56 unequal: No Solution
Exploring Operation: 59*80=4720, Resulting Numbers: [4720]
4720,56 unequal: No Solution
No 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: 56:[65, 74], Operations: ['69-10=59', '15+59=74']
Exploring Operation: 74-65=9, Resulting Numbers: [9]
9,56 unequal: No Solution
Exploring Operation: 65+74=139, Resulting Numbers: [139]
139,56 unequal: No Solution
Exploring Operation: 65*74=4810, Resulting Numbers: [4810]
4810,56 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: 56:[15, 69, 55], Operations: ['65-10=55']
Exploring Operation: 69-15=54, Resulting Numbers: [55, 54]
Generated Node #0,1,0: 56:[55, 54] Operation: 69-15=54
Exploring Operation: 15+55=70, Resulting Numbers: [69, 70]
Generated Node #0,1,1: 56:[69, 70] Operation: 15+55=70
Exploring Operation: 69-55=14, Resulting Numbers: [15, 14]
Generated Node #0,1,2: 56:[15, 14] Operation: 69-55=14
Exploring Operation: 15+69=84, Resulting Numbers: [55, 84]
Generated Node #0,1,3: 56:[55, 84] Operation: 15+69=84
Exploring Operation: 55-15=40, Resulting Numbers: [69, 40]
Generated Node #0,1,4: 56:[69, 40] Operation: 55-15=40
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 56:[15, 14], Operations: ['65-10=55', '69-55=14']
Exploring Operation: 15+14=29, Resulting Numbers: [29]
29,56 unequal: No Solution
Exploring Operation: 15*14=210, Resulting Numbers: [210]
210,56 unequal: No Solution
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,56 unequal: No Solution
No 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: 56:[55, 54], Operations: ['65-10=55', '69-15=54']
Exploring Operation: 55-54=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 55*54=2970, Resulting Numbers: [2970]
2970,56 unequal: No Solution
Exploring Operation: 55+54=109, Resulting Numbers: [109]
109,56 unequal: No Solution
No 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: 56:[69, 40], Operations: ['65-10=55', '55-15=40']
Exploring Operation: 69*40=2760, Resulting Numbers: [2760]
2760,56 unequal: No Solution
Exploring Operation: 69+40=109, Resulting Numbers: [109]
109,56 unequal: No Solution
Exploring Operation: 69-40=29, Resulting Numbers: [29]
29,56 unequal: No Solution
No 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: 56:[69, 70], Operations: ['65-10=55', '15+55=70']
Exploring Operation: 70-69=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 69*70=4830, Resulting Numbers: [4830]
4830,56 unequal: No Solution
Exploring Operation: 69+70=139, Resulting Numbers: [139]
139,56 unequal: No Solution
No 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: 56:[55, 84], Operations: ['65-10=55', '15+69=84']
Exploring Operation: 55+84=139, Resulting Numbers: [139]
139,56 unequal: No Solution
Exploring Operation: 84-55=29, Resulting Numbers: [29]
29,56 unequal: No Solution
Exploring Operation: 55*84=4620, Resulting Numbers: [4620]
4620,56 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: 56:[10, 69, 50], Operations: ['65-15=50']
Exploring Operation: 69-10=59, Resulting Numbers: [50, 59]
Generated Node #0,4,0: 56:[50, 59] Operation: 69-10=59
Exploring Operation: 69-50=19, Resulting Numbers: [10, 19]
Generated Node #0,4,1: 56:[10, 19] Operation: 69-50=19
Exploring Operation: 50-10=40, Resulting Numbers: [69, 40]
Generated Node #0,4,2: 56:[69, 40] Operation: 50-10=40
Exploring Operation: 10+50=60, Resulting Numbers: [69, 60]
Generated Node #0,4,3: 56:[69, 60] Operation: 10+50=60
Exploring Operation: 50/10=5, Resulting Numbers: [69, 5]
Generated Node #0,4,4: 56:[69, 5] Operation: 50/10=5
Moving to Node #0,4,1
Current State: 56:[10, 19], Operations: ['65-15=50', '69-50=19']
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,56 unequal: No Solution
Exploring Operation: 10*19=190, Resulting Numbers: [190]
190,56 unequal: No Solution
Exploring Operation: 10+19=29, Resulting Numbers: [29]
29,56 unequal: No Solution
Moving to Node #0,4,0
Current State: 56:[50, 59], Operations: ['65-15=50', '69-10=59']
Exploring Operation: 50*59=2950, Resulting Numbers: [2950]
2950,56 unequal: No Solution
Exploring Operation: 50+59=109, Resulting Numbers: [109]
109,56 unequal: No Solution
Exploring Operation: 59-50=9, Resulting Numbers: [9]
9,56 unequal: No Solution
Moving to Node #0,4,4
Current State: 56:[69, 5], Operations: ['65-15=50', '50/10=5']
Exploring Operation: 69+5=74, Resulting Numbers: [74]
74,56 unequal: No Solution
Exploring Operation: 69-5=64, Resulting Numbers: [64]
64,56 unequal: No Solution
Exploring Operation: 69*5=345, Resulting Numbers: [345]
345,56 unequal: No Solution
Moving to Node #0,4,3
Current State: 56:[69, 60], Operations: ['65-15=50', '10+50=60']
Exploring Operation: 69+60=129, Resulting Numbers: [129]
129,56 unequal: No Solution
Exploring Operation: 69-60=9, Resulting Numbers: [9]
9,56 unequal: No Solution
Exploring Operation: 69*60=4140, Resulting Numbers: [4140]
4140,56 unequal: No Solution
Moving to Node #0,4,2
Current State: 56:[69, 40], Operations: ['65-15=50', '50-10=40']
Exploring Operation: 69*40=2760, Resulting Numbers: [2760]
2760,56 unequal: No Solution
Exploring Operation: 69+40=109, Resulting Numbers: [109]
109,56 unequal: No Solution
Exploring Operation: 69-40=29, Resulting Numbers: [29]
29,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
12,
73,
55,
68
] | 48 | [
"73-12=61",
"68-55=13",
"61-13=48"
] | Current State: 48:[12, 73, 55, 68], Operations: []
Exploring Operation: 73-12=61, Resulting Numbers: [55, 68, 61]
Generated Node #2: [55, 68, 61] from Operation: 73-12=61
Current State: 48:[55, 68, 61], Operations: ['73-12=61']
Exploring Operation: 68-55=13, Resulting Numbers: [61, 13]
Generated Node #3: [61, 13] from Operation: 68-55=13
Current State: 48:[61, 13], Operations: ['73-12=61', '68-55=13']
Exploring Operation: 61-13=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[12, 73, 55, 68], Operations: []
Exploring Operation: 73-12=61, Resulting Numbers: [55, 68, 61]
Generated Node #0,0: 48:[55, 68, 61] Operation: 73-12=61
Exploring Operation: 68-55=13, Resulting Numbers: [12, 73, 13]
Generated Node #0,1: 48:[12, 73, 13] Operation: 68-55=13
Exploring Operation: 73-55=18, Resulting Numbers: [12, 68, 18]
Generated Node #0,2: 48:[12, 68, 18] Operation: 73-55=18
Exploring Operation: 73-68=5, Resulting Numbers: [12, 55, 5]
Generated Node #0,3: 48:[12, 55, 5] Operation: 73-68=5
Start Sub Search at level 1: Moving to Node #0,3
Current State: 48:[12, 55, 5], Operations: ['73-68=5']
Exploring Operation: 55-5=50, Resulting Numbers: [12, 50]
Generated Node #0,3,0: 48:[12, 50] Operation: 55-5=50
Exploring Operation: 12+5=17, Resulting Numbers: [55, 17]
Generated Node #0,3,1: 48:[55, 17] Operation: 12+5=17
Exploring Operation: 55/5=11, Resulting Numbers: [12, 11]
Generated Node #0,3,2: 48:[12, 11] Operation: 55/5=11
Exploring Operation: 55-12=43, Resulting Numbers: [5, 43]
Generated Node #0,3,3: 48:[5, 43] Operation: 55-12=43
Moving to Node #0,3,2
Current State: 48:[12, 11], Operations: ['73-68=5', '55/5=11']
Exploring Operation: 12*11=132, Resulting Numbers: [132]
132,48 unequal: No Solution
Exploring Operation: 12+11=23, Resulting Numbers: [23]
23,48 unequal: No Solution
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,48 unequal: No Solution
Moving to Node #0,3,0
Current State: 48:[12, 50], Operations: ['73-68=5', '55-5=50']
Exploring Operation: 12+50=62, Resulting Numbers: [62]
62,48 unequal: No Solution
Exploring Operation: 12*50=600, Resulting Numbers: [600]
600,48 unequal: No Solution
Exploring Operation: 50-12=38, Resulting Numbers: [38]
38,48 unequal: No Solution
Moving to Node #0,3,3
Current State: 48:[5, 43], Operations: ['73-68=5', '55-12=43']
Exploring Operation: 5+43=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[12, 73, 55, 68], Operations: []
Exploring Operation: 73-68=5, Resulting Numbers: [12, 55, 5]
Generated Node #0,3: 48:[12, 55, 5] Operation: 73-68=5
Moving to Node #0,3
Current State: 48:[12, 55, 5], Operations: ['73-68=5']
Exploring Operation: 55-12=43, Resulting Numbers: [5, 43]
Generated Node #0,3,3: 48:[5, 43] Operation: 55-12=43
Moving to Node #0,3,3
Current State: 48:[5, 43], Operations: ['73-68=5', '55-12=43']
Exploring Operation: 5+43=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | sum_heuristic |
[
81,
32,
55,
86
] | 43 | [
"86-81=5",
"55/5=11",
"32+11=43"
] | Current State: 43:[81, 32, 55, 86], Operations: []
Exploring Operation: 86-81=5, Resulting Numbers: [32, 55, 5]
Generated Node #2: [32, 55, 5] from Operation: 86-81=5
Current State: 43:[32, 55, 5], Operations: ['86-81=5']
Exploring Operation: 55/5=11, Resulting Numbers: [32, 11]
Generated Node #3: [32, 11] from Operation: 55/5=11
Current State: 43:[32, 11], Operations: ['86-81=5', '55/5=11']
Exploring Operation: 32+11=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[81, 32, 55, 86], Operations: []
Exploring Operation: 81-32=49, Resulting Numbers: [55, 86, 49]
Generated Node #0,0: 43:[55, 86, 49] Operation: 81-32=49
Moving to Node #0,0
Current State: 43:[55, 86, 49], Operations: ['81-32=49']
Exploring Operation: 86-55=31, Resulting Numbers: [49, 31]
Generated Node #0,0,0: 43:[49, 31] Operation: 86-55=31
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 43:[49, 31], Operations: ['81-32=49', '86-55=31']
Exploring Operation: 49-31=18, Resulting Numbers: [18]
18,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
92,
97,
6,
2
] | 75 | [
"92-6=86",
"2*86=172",
"172-97=75"
] | Current State: 75:[92, 97, 6, 2], Operations: []
Exploring Operation: 92-6=86, Resulting Numbers: [97, 2, 86]
Generated Node #2: [97, 2, 86] from Operation: 92-6=86
Current State: 75:[97, 2, 86], Operations: ['92-6=86']
Exploring Operation: 2*86=172, Resulting Numbers: [97, 172]
Generated Node #3: [97, 172] from Operation: 2*86=172
Current State: 75:[97, 172], Operations: ['92-6=86', '2*86=172']
Exploring Operation: 172-97=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[92, 97, 6, 2], Operations: []
Exploring Operation: 92-2=90, Resulting Numbers: [97, 6, 90]
Generated Node #0,0: 75:[97, 6, 90] Operation: 92-2=90
Exploring Operation: 97-92=5, Resulting Numbers: [6, 2, 5]
Generated Node #0,1: 75:[6, 2, 5] Operation: 97-92=5
Exploring Operation: 97-6=91, Resulting Numbers: [92, 2, 91]
Generated Node #0,2: 75:[92, 2, 91] Operation: 97-6=91
Exploring Operation: 92-6=86, Resulting Numbers: [97, 2, 86]
Generated Node #0,3: 75:[97, 2, 86] Operation: 92-6=86
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[6, 2, 5], Operations: ['97-92=5']
Exploring Operation: 5-2=3, Resulting Numbers: [6, 3]
Generated Node #0,1,0: 75:[6, 3] Operation: 5-2=3
Exploring Operation: 6+2=8, Resulting Numbers: [5, 8]
Generated Node #0,1,1: 75:[5, 8] Operation: 6+2=8
Exploring Operation: 6-2=4, Resulting Numbers: [5, 4]
Generated Node #0,1,2: 75:[5, 4] Operation: 6-2=4
Exploring Operation: 6/2=3, Resulting Numbers: [5, 3]
Generated Node #0,1,3: 75:[5, 3] Operation: 6/2=3
Moving to Node #0,1,3
Current State: 75:[5, 3], Operations: ['97-92=5', '6/2=3']
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,75 unequal: No Solution
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,75 unequal: No Solution
Moving to Node #0,1,2
Current State: 75:[5, 4], Operations: ['97-92=5', '6-2=4']
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,75 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,75 unequal: No Solution
Moving to Node #0,1,0
Current State: 75:[6, 3], Operations: ['97-92=5', '5-2=3']
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,75 unequal: No Solution
Exploring Operation: 6+3=9, Resulting Numbers: [9]
9,75 unequal: No Solution
Exploring Operation: 6*3=18, Resulting Numbers: [18]
18,75 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Moving to Node #0,1,1
Current State: 75:[5, 8], Operations: ['97-92=5', '6+2=8']
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,75 unequal: No Solution
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,75 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[92, 2, 91], Operations: ['97-6=91']
Exploring Operation: 91-2=89, Resulting Numbers: [92, 89]
Generated Node #0,2,0: 75:[92, 89] Operation: 91-2=89
Exploring Operation: 92-2=90, Resulting Numbers: [91, 90]
Generated Node #0,2,1: 75:[91, 90] Operation: 92-2=90
Exploring Operation: 92+2=94, Resulting Numbers: [91, 94]
Generated Node #0,2,2: 75:[91, 94] Operation: 92+2=94
Exploring Operation: 92-91=1, Resulting Numbers: [2, 1]
Generated Node #0,2,3: 75:[2, 1] Operation: 92-91=1
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 75:[2, 1], Operations: ['97-6=91', '92-91=1']
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,75 unequal: No Solution
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,75 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,75 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,75 unequal: No Solution
No 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: 75:[92, 89], Operations: ['97-6=91', '91-2=89']
Exploring Operation: 92+89=181, Resulting Numbers: [181]
181,75 unequal: No Solution
Exploring Operation: 92*89=8188, Resulting Numbers: [8188]
8188,75 unequal: No Solution
Exploring Operation: 92-89=3, Resulting Numbers: [3]
3,75 unequal: No Solution
No 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: 75:[91, 90], Operations: ['97-6=91', '92-2=90']
Exploring Operation: 91*90=8190, Resulting Numbers: [8190]
8190,75 unequal: No Solution
Exploring Operation: 91-90=1, Resulting Numbers: [1]
1,75 unequal: No Solution
Exploring Operation: 91+90=181, Resulting Numbers: [181]
181,75 unequal: No Solution
No 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: 75:[91, 94], Operations: ['97-6=91', '92+2=94']
Exploring Operation: 91*94=8554, Resulting Numbers: [8554]
8554,75 unequal: No Solution
Exploring Operation: 94-91=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Exploring Operation: 91+94=185, Resulting Numbers: [185]
185,75 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: 75:[97, 2, 86], Operations: ['92-6=86']
Exploring Operation: 97+2=99, Resulting Numbers: [86, 99]
Generated Node #0,3,0: 75:[86, 99] Operation: 97+2=99
Exploring Operation: 86-2=84, Resulting Numbers: [97, 84]
Generated Node #0,3,1: 75:[97, 84] Operation: 86-2=84
Exploring Operation: 97-2=95, Resulting Numbers: [86, 95]
Generated Node #0,3,2: 75:[86, 95] Operation: 97-2=95
Exploring Operation: 97-86=11, Resulting Numbers: [2, 11]
Generated Node #0,3,3: 75:[2, 11] Operation: 97-86=11
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 75:[2, 11], Operations: ['92-6=86', '97-86=11']
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,75 unequal: No Solution
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,75 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,75 unequal: No Solution
No 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: 75:[97, 84], Operations: ['92-6=86', '86-2=84']
Exploring Operation: 97+84=181, Resulting Numbers: [181]
181,75 unequal: No Solution
Exploring Operation: 97*84=8148, Resulting Numbers: [8148]
8148,75 unequal: No Solution
Exploring Operation: 97-84=13, Resulting Numbers: [13]
13,75 unequal: No Solution
No 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: 75:[86, 95], Operations: ['92-6=86', '97-2=95']
Exploring Operation: 95-86=9, Resulting Numbers: [9]
9,75 unequal: No Solution
Exploring Operation: 86+95=181, Resulting Numbers: [181]
181,75 unequal: No Solution
Exploring Operation: 86*95=8170, Resulting Numbers: [8170]
8170,75 unequal: No Solution
No 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: 75:[86, 99], Operations: ['92-6=86', '97+2=99']
Exploring Operation: 99-86=13, Resulting Numbers: [13]
13,75 unequal: No Solution
Exploring Operation: 86+99=185, Resulting Numbers: [185]
185,75 unequal: No Solution
Exploring Operation: 86*99=8514, Resulting Numbers: [8514]
8514,75 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: 75:[97, 6, 90], Operations: ['92-2=90']
Exploring Operation: 97-90=7, Resulting Numbers: [6, 7]
Generated Node #0,0,0: 75:[6, 7] Operation: 97-90=7
Exploring Operation: 97-6=91, Resulting Numbers: [90, 91]
Generated Node #0,0,1: 75:[90, 91] Operation: 97-6=91
Exploring Operation: 90/6=15, Resulting Numbers: [97, 15]
Generated Node #0,0,2: 75:[97, 15] Operation: 90/6=15
Exploring Operation: 90-6=84, Resulting Numbers: [97, 84]
Generated Node #0,0,3: 75:[97, 84] Operation: 90-6=84
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 75:[6, 7], Operations: ['92-2=90', '97-90=7']
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,75 unequal: No Solution
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,75 unequal: No Solution
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,75 unequal: No Solution
No 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: 75:[97, 15], Operations: ['92-2=90', '90/6=15']
Exploring Operation: 97-15=82, Resulting Numbers: [82]
82,75 unequal: No Solution
Exploring Operation: 97+15=112, Resulting Numbers: [112]
112,75 unequal: No Solution
Exploring Operation: 97*15=1455, Resulting Numbers: [1455]
1455,75 unequal: No Solution
No 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: 75:[90, 91], Operations: ['92-2=90', '97-6=91']
Exploring Operation: 90+91=181, Resulting Numbers: [181]
181,75 unequal: No Solution
Exploring Operation: 90*91=8190, Resulting Numbers: [8190]
8190,75 unequal: No Solution
Exploring Operation: 91-90=1, Resulting Numbers: [1]
1,75 unequal: No Solution
No 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: 75:[97, 84], Operations: ['92-2=90', '90-6=84']
Exploring Operation: 97+84=181, Resulting Numbers: [181]
181,75 unequal: No Solution
Exploring Operation: 97-84=13, Resulting Numbers: [13]
13,75 unequal: No Solution
Exploring Operation: 97*84=8148, Resulting Numbers: [8148]
8148,75 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 |
[
93,
9,
30,
6
] | 73 | [
"30*6=180",
"180/9=20",
"93-20=73"
] | Current State: 73:[93, 9, 30, 6], Operations: []
Exploring Operation: 30*6=180, Resulting Numbers: [93, 9, 180]
Generated Node #2: [93, 9, 180] from Operation: 30*6=180
Current State: 73:[93, 9, 180], Operations: ['30*6=180']
Exploring Operation: 180/9=20, Resulting Numbers: [93, 20]
Generated Node #3: [93, 20] from Operation: 180/9=20
Current State: 73:[93, 20], Operations: ['30*6=180', '180/9=20']
Exploring Operation: 93-20=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[93, 9, 30, 6], Operations: []
Exploring Operation: 93-6=87, Resulting Numbers: [9, 30, 87]
Generated Node #0,0: 73:[9, 30, 87] Operation: 93-6=87
Exploring Operation: 9*6=54, Resulting Numbers: [93, 30, 54]
Generated Node #0,1: 73:[93, 30, 54] Operation: 9*6=54
Exploring Operation: 93-9=84, Resulting Numbers: [30, 6, 84]
Generated Node #0,2: 73:[30, 6, 84] Operation: 93-9=84
Moving to Node #0,1
Current State: 73:[93, 30, 54], Operations: ['9*6=54']
Exploring Operation: 30+54=84, Resulting Numbers: [93, 84]
Generated Node #0,1,0: 73:[93, 84] Operation: 30+54=84
Exploring Operation: 93-30=63, Resulting Numbers: [54, 63]
Generated Node #0,1,1: 73:[54, 63] Operation: 93-30=63
Exploring Operation: 93+30=123, Resulting Numbers: [54, 123]
Generated Node #0,1,2: 73:[54, 123] Operation: 93+30=123
Moving to Node #0,0
Current State: 73:[9, 30, 87], Operations: ['93-6=87']
Exploring Operation: 87-9=78, Resulting Numbers: [30, 78]
Generated Node #0,0,0: 73:[30, 78] Operation: 87-9=78
Exploring Operation: 9+30=39, Resulting Numbers: [87, 39]
Generated Node #0,0,1: 73:[87, 39] Operation: 9+30=39
Exploring Operation: 30-9=21, Resulting Numbers: [87, 21]
Generated Node #0,0,2: 73:[87, 21] Operation: 30-9=21
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 73:[30, 78], Operations: ['93-6=87', '87-9=78']
Exploring Operation: 30*78=2340, Resulting Numbers: [2340]
2340,73 unequal: No Solution
Exploring Operation: 30+78=108, Resulting Numbers: [108]
108,73 unequal: No Solution
Exploring Operation: 78-30=48, Resulting Numbers: [48]
48,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 73:[87, 39], Operations: ['93-6=87', '9+30=39']
Exploring Operation: 87+39=126, Resulting Numbers: [126]
126,73 unequal: No Solution
Exploring Operation: 87-39=48, Resulting Numbers: [48]
48,73 unequal: No Solution
Exploring Operation: 87*39=3393, Resulting Numbers: [3393]
3393,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 73:[87, 21], Operations: ['93-6=87', '30-9=21']
Exploring Operation: 87*21=1827, Resulting Numbers: [1827]
1827,73 unequal: No Solution
Exploring Operation: 87-21=66, Resulting Numbers: [66]
66,73 unequal: No Solution
Exploring Operation: 87+21=108, Resulting Numbers: [108]
108,73 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: 73:[30, 6, 84], Operations: ['93-9=84']
Exploring Operation: 30+6=36, Resulting Numbers: [84, 36]
Generated Node #0,2,0: 73:[84, 36] Operation: 30+6=36
Exploring Operation: 84-6=78, Resulting Numbers: [30, 78]
Generated Node #0,2,1: 73:[30, 78] Operation: 84-6=78
Exploring Operation: 30-6=24, Resulting Numbers: [84, 24]
Generated Node #0,2,2: 73:[84, 24] Operation: 30-6=24
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 73:[84, 36], Operations: ['93-9=84', '30+6=36']
Exploring Operation: 84*36=3024, Resulting Numbers: [3024]
3024,73 unequal: No Solution
Exploring Operation: 84+36=120, Resulting Numbers: [120]
120,73 unequal: No Solution
Exploring Operation: 84-36=48, Resulting Numbers: [48]
48,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 73:[30, 78], Operations: ['93-9=84', '84-6=78']
Exploring Operation: 78-30=48, Resulting Numbers: [48]
48,73 unequal: No Solution
Exploring Operation: 30*78=2340, Resulting Numbers: [2340]
2340,73 unequal: No Solution
Exploring Operation: 30+78=108, Resulting Numbers: [108]
108,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 73:[84, 24], Operations: ['93-9=84', '30-6=24']
Exploring Operation: 84+24=108, Resulting Numbers: [108]
108,73 unequal: No Solution
Exploring Operation: 84-24=60, Resulting Numbers: [60]
60,73 unequal: No Solution
Exploring Operation: 84*24=2016, Resulting Numbers: [2016]
2016,73 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: 73:[54, 63], Operations: ['9*6=54', '93-30=63']
Exploring Operation: 63-54=9, Resulting Numbers: [9]
9,73 unequal: No Solution
Exploring Operation: 54+63=117, Resulting Numbers: [117]
117,73 unequal: No Solution
Exploring Operation: 54*63=3402, Resulting Numbers: [3402]
3402,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[93, 84], Operations: ['9*6=54', '30+54=84']
Exploring Operation: 93-84=9, Resulting Numbers: [9]
9,73 unequal: No Solution
Exploring Operation: 93*84=7812, Resulting Numbers: [7812]
7812,73 unequal: No Solution
Exploring Operation: 93+84=177, Resulting Numbers: [177]
177,73 unequal: No Solution
Moving to Node #0,1,2
Current State: 73:[54, 123], Operations: ['9*6=54', '93+30=123']
Exploring Operation: 54*123=6642, Resulting Numbers: [6642]
6642,73 unequal: No Solution
Exploring Operation: 123-54=69, Resulting Numbers: [69]
69,73 unequal: No Solution
Exploring Operation: 54+123=177, Resulting Numbers: [177]
177,73 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
37,
59,
53,
4
] | 27 | [
"59-37=22",
"53-4=49",
"49-22=27"
] | Current State: 27:[37, 59, 53, 4], Operations: []
Exploring Operation: 59-37=22, Resulting Numbers: [53, 4, 22]
Generated Node #2: [53, 4, 22] from Operation: 59-37=22
Current State: 27:[53, 4, 22], Operations: ['59-37=22']
Exploring Operation: 53-4=49, Resulting Numbers: [22, 49]
Generated Node #3: [22, 49] from Operation: 53-4=49
Current State: 27:[22, 49], Operations: ['59-37=22', '53-4=49']
Exploring Operation: 49-22=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[37, 59, 53, 4], Operations: []
Exploring Operation: 59-53=6, Resulting Numbers: [37, 4, 6]
Generated Node #0,0: 27:[37, 4, 6] Operation: 59-53=6
Exploring Operation: 59-37=22, Resulting Numbers: [53, 4, 22]
Generated Node #0,1: 27:[53, 4, 22] Operation: 59-37=22
Moving to Node #0,0
Current State: 27:[37, 4, 6], Operations: ['59-53=6']
Exploring Operation: 37-6=31, Resulting Numbers: [4, 31]
Generated Node #0,0,0: 27:[4, 31] Operation: 37-6=31
Exploring Operation: 37-4=33, Resulting Numbers: [6, 33]
Generated Node #0,0,1: 27:[6, 33] Operation: 37-4=33
Moving to Node #0,1
Current State: 27:[53, 4, 22], Operations: ['59-37=22']
Exploring Operation: 53-4=49, Resulting Numbers: [22, 49]
Generated Node #0,1,0: 27:[22, 49] Operation: 53-4=49
Exploring Operation: 53-22=31, Resulting Numbers: [4, 31]
Generated Node #0,1,1: 27:[4, 31] Operation: 53-22=31
Moving to Node #0,0,0
Current State: 27:[4, 31], Operations: ['59-53=6', '37-6=31']
Exploring Operation: 4+31=35, Resulting Numbers: [35]
35,27 unequal: No Solution
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[37, 59, 53, 4], Operations: []
Exploring Operation: 59-53=6, Resulting Numbers: [37, 4, 6]
Generated Node #0,0: 27:[37, 4, 6] Operation: 59-53=6
Moving to Node #0,0
Current State: 27:[37, 4, 6], Operations: ['59-53=6']
Exploring Operation: 37-6=31, Resulting Numbers: [4, 31]
Generated Node #0,0,0: 27:[4, 31] Operation: 37-6=31
Moving to Node #0,0,0
Current State: 27:[4, 31], Operations: ['59-53=6', '37-6=31']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 0.989583 | hs_2 | mult_heuristic |
[
72,
40,
74,
20
] | 70 | [
"72*40=2880",
"2880/20=144",
"144-74=70"
] | Current State: 70:[72, 40, 74, 20], Operations: []
Exploring Operation: 72*40=2880, Resulting Numbers: [74, 20, 2880]
Generated Node #2: [74, 20, 2880] from Operation: 72*40=2880
Current State: 70:[74, 20, 2880], Operations: ['72*40=2880']
Exploring Operation: 2880/20=144, Resulting Numbers: [74, 144]
Generated Node #3: [74, 144] from Operation: 2880/20=144
Current State: 70:[74, 144], Operations: ['72*40=2880', '2880/20=144']
Exploring Operation: 144-74=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[72, 40, 74, 20], Operations: []
Exploring Operation: 40/20=2, Resulting Numbers: [72, 74, 2]
Generated Node #0,0: 70:[72, 74, 2] Operation: 40/20=2
Exploring Operation: 74-40=34, Resulting Numbers: [72, 20, 34]
Generated Node #0,1: 70:[72, 20, 34] Operation: 74-40=34
Moving to Node #0,0
Current State: 70:[72, 74, 2], Operations: ['40/20=2']
Exploring Operation: 72-2=70, Resulting Numbers: [74, 70]
Generated Node #0,0,0: 70:[74, 70] Operation: 72-2=70
Exploring Operation: 74-72=2, Resulting Numbers: [2, 2]
Generated Node #0,0,1: 70:[2, 2] Operation: 74-72=2
Moving to Node #0,1
Current State: 70:[72, 20, 34], Operations: ['74-40=34']
Exploring Operation: 34-20=14, Resulting Numbers: [72, 14]
Generated Node #0,1,0: 70:[72, 14] Operation: 34-20=14
Exploring Operation: 72-34=38, Resulting Numbers: [20, 38]
Generated Node #0,1,1: 70:[20, 38] Operation: 72-34=38
Moving to Node #0,0,1
Current State: 70:[2, 2], Operations: ['40/20=2', '74-72=2']
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,70 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,70 unequal: No Solution
Moving to Node #0,1,0
Current State: 70:[72, 14], Operations: ['74-40=34', '34-20=14']
Exploring Operation: 72+14=86, Resulting Numbers: [86]
86,70 unequal: No Solution
Exploring Operation: 72-14=58, Resulting Numbers: [58]
58,70 unequal: No Solution
Moving to Node #0,0,0
Current State: 70:[74, 70], Operations: ['40/20=2', '72-2=70']
Exploring Operation: 74+70=144, Resulting Numbers: [144]
144,70 unequal: No Solution
Exploring Operation: 74-70=4, Resulting Numbers: [4]
4,70 unequal: No Solution
Moving to Node #0,1,1
Current State: 70:[20, 38], Operations: ['74-40=34', '72-34=38']
Exploring Operation: 20+38=58, Resulting Numbers: [58]
58,70 unequal: No Solution
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,70 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
46,
53,
64,
22
] | 58 | [
"46+64=110",
"110/22=5",
"53+5=58"
] | Current State: 58:[46, 53, 64, 22], Operations: []
Exploring Operation: 46+64=110, Resulting Numbers: [53, 22, 110]
Generated Node #2: [53, 22, 110] from Operation: 46+64=110
Current State: 58:[53, 22, 110], Operations: ['46+64=110']
Exploring Operation: 110/22=5, Resulting Numbers: [53, 5]
Generated Node #3: [53, 5] from Operation: 110/22=5
Current State: 58:[53, 5], Operations: ['46+64=110', '110/22=5']
Exploring Operation: 53+5=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[46, 53, 64, 22], Operations: []
Exploring Operation: 46+22=68, Resulting Numbers: [53, 64, 68]
Generated Node #0,0: 58:[53, 64, 68] Operation: 46+22=68
Exploring Operation: 64-46=18, Resulting Numbers: [53, 22, 18]
Generated Node #0,1: 58:[53, 22, 18] Operation: 64-46=18
Exploring Operation: 53-22=31, Resulting Numbers: [46, 64, 31]
Generated Node #0,2: 58:[46, 64, 31] Operation: 53-22=31
Exploring Operation: 53-46=7, Resulting Numbers: [64, 22, 7]
Generated Node #0,3: 58:[64, 22, 7] Operation: 53-46=7
Exploring Operation: 46-22=24, Resulting Numbers: [53, 64, 24]
Generated Node #0,4: 58:[53, 64, 24] Operation: 46-22=24
Moving to Node #0,4
Current State: 58:[53, 64, 24], Operations: ['46-22=24']
Exploring Operation: 53+24=77, Resulting Numbers: [64, 77]
Generated Node #0,4,0: 58:[64, 77] Operation: 53+24=77
Exploring Operation: 53-24=29, Resulting Numbers: [64, 29]
Generated Node #0,4,1: 58:[64, 29] Operation: 53-24=29
Exploring Operation: 64-24=40, Resulting Numbers: [53, 40]
Generated Node #0,4,2: 58:[53, 40] Operation: 64-24=40
Exploring Operation: 64-53=11, Resulting Numbers: [24, 11]
Generated Node #0,4,3: 58:[24, 11] Operation: 64-53=11
Exploring Operation: 64+24=88, Resulting Numbers: [53, 88]
Generated Node #0,4,4: 58:[53, 88] Operation: 64+24=88
Moving to Node #0,3
Current State: 58:[64, 22, 7], Operations: ['53-46=7']
Exploring Operation: 64-22=42, Resulting Numbers: [7, 42]
Generated Node #0,3,0: 58:[7, 42] Operation: 64-22=42
Exploring Operation: 64+7=71, Resulting Numbers: [22, 71]
Generated Node #0,3,1: 58:[22, 71] Operation: 64+7=71
Exploring Operation: 22-7=15, Resulting Numbers: [64, 15]
Generated Node #0,3,2: 58:[64, 15] Operation: 22-7=15
Exploring Operation: 64-7=57, Resulting Numbers: [22, 57]
Generated Node #0,3,3: 58:[22, 57] Operation: 64-7=57
Exploring Operation: 22+7=29, Resulting Numbers: [64, 29]
Generated Node #0,3,4: 58:[64, 29] Operation: 22+7=29
Moving to Node #0,2
Current State: 58:[46, 64, 31], Operations: ['53-22=31']
Exploring Operation: 64+31=95, Resulting Numbers: [46, 95]
Generated Node #0,2,0: 58:[46, 95] Operation: 64+31=95
Exploring Operation: 46-31=15, Resulting Numbers: [64, 15]
Generated Node #0,2,1: 58:[64, 15] Operation: 46-31=15
Exploring Operation: 46+31=77, Resulting Numbers: [64, 77]
Generated Node #0,2,2: 58:[64, 77] Operation: 46+31=77
Exploring Operation: 64-31=33, Resulting Numbers: [46, 33]
Generated Node #0,2,3: 58:[46, 33] Operation: 64-31=33
Exploring Operation: 64-46=18, Resulting Numbers: [31, 18]
Generated Node #0,2,4: 58:[31, 18] Operation: 64-46=18
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 58:[31, 18], Operations: ['53-22=31', '64-46=18']
Exploring Operation: 31+18=49, Resulting Numbers: [49]
49,58 unequal: No Solution
Exploring Operation: 31*18=558, Resulting Numbers: [558]
558,58 unequal: No Solution
Exploring Operation: 31-18=13, Resulting Numbers: [13]
13,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 58:[46, 33], Operations: ['53-22=31', '64-31=33']
Exploring Operation: 46*33=1518, Resulting Numbers: [1518]
1518,58 unequal: No Solution
Exploring Operation: 46-33=13, Resulting Numbers: [13]
13,58 unequal: No Solution
Exploring Operation: 46+33=79, Resulting Numbers: [79]
79,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 58:[64, 15], Operations: ['53-22=31', '46-31=15']
Exploring Operation: 64-15=49, Resulting Numbers: [49]
49,58 unequal: No Solution
Exploring Operation: 64*15=960, Resulting Numbers: [960]
960,58 unequal: No Solution
Exploring Operation: 64+15=79, Resulting Numbers: [79]
79,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 58:[64, 77], Operations: ['53-22=31', '46+31=77']
Exploring Operation: 64+77=141, Resulting Numbers: [141]
141,58 unequal: No Solution
Exploring Operation: 64*77=4928, Resulting Numbers: [4928]
4928,58 unequal: No Solution
Exploring Operation: 77-64=13, Resulting Numbers: [13]
13,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 58:[46, 95], Operations: ['53-22=31', '64+31=95']
Exploring Operation: 95-46=49, Resulting Numbers: [49]
49,58 unequal: No Solution
Exploring Operation: 46+95=141, Resulting Numbers: [141]
141,58 unequal: No Solution
Exploring Operation: 46*95=4370, Resulting Numbers: [4370]
4370,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 58:[53, 64, 68], Operations: ['46+22=68']
Exploring Operation: 68-64=4, Resulting Numbers: [53, 4]
Generated Node #0,0,0: 58:[53, 4] Operation: 68-64=4
Exploring Operation: 53+68=121, Resulting Numbers: [64, 121]
Generated Node #0,0,1: 58:[64, 121] Operation: 53+68=121
Exploring Operation: 68-53=15, Resulting Numbers: [64, 15]
Generated Node #0,0,2: 58:[64, 15] Operation: 68-53=15
Exploring Operation: 64-53=11, Resulting Numbers: [68, 11]
Generated Node #0,0,3: 58:[68, 11] Operation: 64-53=11
Exploring Operation: 53+64=117, Resulting Numbers: [68, 117]
Generated Node #0,0,4: 58:[68, 117] Operation: 53+64=117
Moving to Node #0,1
Current State: 58:[53, 22, 18], Operations: ['64-46=18']
Exploring Operation: 22-18=4, Resulting Numbers: [53, 4]
Generated Node #0,1,0: 58:[53, 4] Operation: 22-18=4
Exploring Operation: 22+18=40, Resulting Numbers: [53, 40]
Generated Node #0,1,1: 58:[53, 40] Operation: 22+18=40
Exploring Operation: 53-22=31, Resulting Numbers: [18, 31]
Generated Node #0,1,2: 58:[18, 31] Operation: 53-22=31
Exploring Operation: 53+18=71, Resulting Numbers: [22, 71]
Generated Node #0,1,3: 58:[22, 71] Operation: 53+18=71
Exploring Operation: 53-18=35, Resulting Numbers: [22, 35]
Generated Node #0,1,4: 58:[22, 35] Operation: 53-18=35
Moving to Node #0,4,1
Current State: 58:[64, 29], Operations: ['46-22=24', '53-24=29']
Exploring Operation: 64-29=35, Resulting Numbers: [35]
35,58 unequal: No Solution
Exploring Operation: 64+29=93, Resulting Numbers: [93]
93,58 unequal: No Solution
Exploring Operation: 64*29=1856, Resulting Numbers: [1856]
1856,58 unequal: No Solution
Moving to Node #0,3,4
Current State: 58:[64, 29], Operations: ['53-46=7', '22+7=29']
Exploring Operation: 64-29=35, Resulting Numbers: [35]
35,58 unequal: No Solution
Exploring Operation: 64+29=93, Resulting Numbers: [93]
93,58 unequal: No Solution
Exploring Operation: 64*29=1856, Resulting Numbers: [1856]
1856,58 unequal: No Solution
Moving to Node #0,0,0
Current State: 58:[53, 4], Operations: ['46+22=68', '68-64=4']
Exploring Operation: 53+4=57, Resulting Numbers: [57]
57,58 unequal: No Solution
Exploring Operation: 53*4=212, Resulting Numbers: [212]
212,58 unequal: No Solution
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,58 unequal: No Solution
Moving to Node #0,1,0
Current State: 58:[53, 4], Operations: ['64-46=18', '22-18=4']
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,58 unequal: No Solution
Exploring Operation: 53*4=212, Resulting Numbers: [212]
212,58 unequal: No Solution
Exploring Operation: 53+4=57, Resulting Numbers: [57]
57,58 unequal: No Solution
Moving to Node #0,3,3
Current State: 58:[22, 57], Operations: ['53-46=7', '64-7=57']
Exploring Operation: 22*57=1254, Resulting Numbers: [1254]
1254,58 unequal: No Solution
Exploring Operation: 22+57=79, Resulting Numbers: [79]
79,58 unequal: No Solution
Exploring Operation: 57-22=35, Resulting Numbers: [35]
35,58 unequal: No Solution
Moving to Node #0,1,4
Current State: 58:[22, 35], Operations: ['64-46=18', '53-18=35']
Exploring Operation: 22*35=770, Resulting Numbers: [770]
770,58 unequal: No Solution
Exploring Operation: 35-22=13, Resulting Numbers: [13]
13,58 unequal: No Solution
Exploring Operation: 22+35=57, Resulting Numbers: [57]
57,58 unequal: No Solution
Moving to Node #0,1,2
Current State: 58:[18, 31], Operations: ['64-46=18', '53-22=31']
Exploring Operation: 18+31=49, Resulting Numbers: [49]
49,58 unequal: No Solution
Exploring Operation: 31-18=13, Resulting Numbers: [13]
13,58 unequal: No Solution
Exploring Operation: 18*31=558, Resulting Numbers: [558]
558,58 unequal: No Solution
Moving to Node #0,4,3
Current State: 58:[24, 11], Operations: ['46-22=24', '64-53=11']
Exploring Operation: 24*11=264, Resulting Numbers: [264]
264,58 unequal: No Solution
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,58 unequal: No Solution
Exploring Operation: 24+11=35, Resulting Numbers: [35]
35,58 unequal: No Solution
Moving to Node #0,4,2
Current State: 58:[53, 40], Operations: ['46-22=24', '64-24=40']
Exploring Operation: 53*40=2120, Resulting Numbers: [2120]
2120,58 unequal: No Solution
Exploring Operation: 53-40=13, Resulting Numbers: [13]
13,58 unequal: No Solution
Exploring Operation: 53+40=93, Resulting Numbers: [93]
93,58 unequal: No Solution
Moving to Node #0,1,1
Current State: 58:[53, 40], Operations: ['64-46=18', '22+18=40']
Exploring Operation: 53+40=93, Resulting Numbers: [93]
93,58 unequal: No Solution
Exploring Operation: 53*40=2120, Resulting Numbers: [2120]
2120,58 unequal: No Solution
Exploring Operation: 53-40=13, Resulting Numbers: [13]
13,58 unequal: No Solution
Moving to Node #0,3,0
Current State: 58:[7, 42], Operations: ['53-46=7', '64-22=42']
Exploring Operation: 7+42=49, Resulting Numbers: [49]
49,58 unequal: No Solution
Exploring Operation: 7*42=294, Resulting Numbers: [294]
294,58 unequal: No Solution
Exploring Operation: 42/7=6, Resulting Numbers: [6]
6,58 unequal: No Solution
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,58 unequal: No Solution
Moving to Node #0,0,3
Current State: 58:[68, 11], Operations: ['46+22=68', '64-53=11']
Exploring Operation: 68*11=748, Resulting Numbers: [748]
748,58 unequal: No Solution
Exploring Operation: 68-11=57, Resulting Numbers: [57]
57,58 unequal: No Solution
Exploring Operation: 68+11=79, Resulting Numbers: [79]
79,58 unequal: No Solution
Moving to Node #0,0,2
Current State: 58:[64, 15], Operations: ['46+22=68', '68-53=15']
Exploring Operation: 64-15=49, Resulting Numbers: [49]
49,58 unequal: No Solution
Exploring Operation: 64*15=960, Resulting Numbers: [960]
960,58 unequal: No Solution
Exploring Operation: 64+15=79, Resulting Numbers: [79]
79,58 unequal: No Solution
Moving to Node #0,3,2
Current State: 58:[64, 15], Operations: ['53-46=7', '22-7=15']
Exploring Operation: 64-15=49, Resulting Numbers: [49]
49,58 unequal: No Solution
Exploring Operation: 64*15=960, Resulting Numbers: [960]
960,58 unequal: No Solution
Exploring Operation: 64+15=79, Resulting Numbers: [79]
79,58 unequal: No Solution
Moving to Node #0,1,3
Current State: 58:[22, 71], Operations: ['64-46=18', '53+18=71']
Exploring Operation: 22*71=1562, Resulting Numbers: [1562]
1562,58 unequal: No Solution
Exploring Operation: 71-22=49, Resulting Numbers: [49]
49,58 unequal: No Solution
Exploring Operation: 22+71=93, Resulting Numbers: [93]
93,58 unequal: No Solution
Moving to Node #0,3,1
Current State: 58:[22, 71], Operations: ['53-46=7', '64+7=71']
Exploring Operation: 22*71=1562, Resulting Numbers: [1562]
1562,58 unequal: No Solution
Exploring Operation: 71-22=49, Resulting Numbers: [49]
49,58 unequal: No Solution
Exploring Operation: 22+71=93, Resulting Numbers: [93]
93,58 unequal: No Solution
Moving to Node #0,4,0
Current State: 58:[64, 77], Operations: ['46-22=24', '53+24=77']
Exploring Operation: 77-64=13, Resulting Numbers: [13]
13,58 unequal: No Solution
Exploring Operation: 64*77=4928, Resulting Numbers: [4928]
4928,58 unequal: No Solution
Exploring Operation: 64+77=141, Resulting Numbers: [141]
141,58 unequal: No Solution
Moving to Node #0,4,4
Current State: 58:[53, 88], Operations: ['46-22=24', '64+24=88']
Exploring Operation: 88-53=35, Resulting Numbers: [35]
35,58 unequal: No Solution
Exploring Operation: 53*88=4664, Resulting Numbers: [4664]
4664,58 unequal: No Solution
Exploring Operation: 53+88=141, Resulting Numbers: [141]
141,58 unequal: No Solution
Moving to Node #0,0,4
Current State: 58:[68, 117], Operations: ['46+22=68', '53+64=117']
Exploring Operation: 68+117=185, Resulting Numbers: [185]
185,58 unequal: No Solution
Exploring Operation: 117-68=49, Resulting Numbers: [49]
49,58 unequal: No Solution
Exploring Operation: 68*117=7956, Resulting Numbers: [7956]
7956,58 unequal: No Solution
Moving to Node #0,0,1
Current State: 58:[64, 121], Operations: ['46+22=68', '53+68=121']
Exploring Operation: 121-64=57, Resulting Numbers: [57]
57,58 unequal: No Solution
Exploring Operation: 64+121=185, Resulting Numbers: [185]
185,58 unequal: No Solution
Exploring Operation: 64*121=7744, Resulting Numbers: [7744]
7744,58 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
35,
40,
4,
53
] | 53 | [
"40-35=5",
"5-4=1",
"53*1=53"
] | Current State: 53:[35, 40, 4, 53], Operations: []
Exploring Operation: 40-35=5, Resulting Numbers: [4, 53, 5]
Generated Node #2: [4, 53, 5] from Operation: 40-35=5
Current State: 53:[4, 53, 5], Operations: ['40-35=5']
Exploring Operation: 5-4=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 5-4=1
Current State: 53:[53, 1], Operations: ['40-35=5', '5-4=1']
Exploring Operation: 53*1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[35, 40, 4, 53], Operations: []
Exploring Operation: 35-4=31, Resulting Numbers: [40, 53, 31]
Generated Node #0,0: 53:[40, 53, 31] Operation: 35-4=31
Exploring Operation: 35+4=39, Resulting Numbers: [40, 53, 39]
Generated Node #0,1: 53:[40, 53, 39] Operation: 35+4=39
Exploring Operation: 40+4=44, Resulting Numbers: [35, 53, 44]
Generated Node #0,2: 53:[35, 53, 44] Operation: 40+4=44
Moving to Node #0,1
Current State: 53:[40, 53, 39], Operations: ['35+4=39']
Exploring Operation: 40-39=1, Resulting Numbers: [53, 1]
Generated Node #0,1,0: 53:[53, 1] Operation: 40-39=1
Exploring Operation: 53+39=92, Resulting Numbers: [40, 92]
Generated Node #0,1,1: 53:[40, 92] Operation: 53+39=92
Exploring Operation: 40+39=79, Resulting Numbers: [53, 79]
Generated Node #0,1,2: 53:[53, 79] Operation: 40+39=79
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 53:[53, 79], Operations: ['35+4=39', '40+39=79']
Exploring Operation: 79-53=26, Resulting Numbers: [26]
26,53 unequal: No Solution
Exploring Operation: 53+79=132, Resulting Numbers: [132]
132,53 unequal: No Solution
Exploring Operation: 53*79=4187, Resulting Numbers: [4187]
4187,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 53:[53, 1], Operations: ['35+4=39', '40-39=1']
Exploring Operation: 53/1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[35, 40, 4, 53], Operations: []
Exploring Operation: 35+4=39, Resulting Numbers: [40, 53, 39]
Generated Node #0,1: 53:[40, 53, 39] Operation: 35+4=39
Moving to Node #0,1
Current State: 53:[40, 53, 39], Operations: ['35+4=39']
Exploring Operation: 40-39=1, Resulting Numbers: [53, 1]
Generated Node #0,1,0: 53:[53, 1] Operation: 40-39=1
Moving to Node #0,1,0
Current State: 53:[53, 1], Operations: ['35+4=39', '40-39=1']
Exploring Operation: 53/1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | sum_heuristic |
[
70,
7,
52,
95
] | 11 | [
"70-52=18",
"95-18=77",
"77/7=11"
] | Current State: 11:[70, 7, 52, 95], Operations: []
Exploring Operation: 70-52=18, Resulting Numbers: [7, 95, 18]
Generated Node #2: [7, 95, 18] from Operation: 70-52=18
Current State: 11:[7, 95, 18], Operations: ['70-52=18']
Exploring Operation: 95-18=77, Resulting Numbers: [7, 77]
Generated Node #3: [7, 77] from Operation: 95-18=77
Current State: 11:[7, 77], Operations: ['70-52=18', '95-18=77']
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[70, 7, 52, 95], Operations: []
Exploring Operation: 95-70=25, Resulting Numbers: [7, 52, 25]
Generated Node #0,0: 11:[7, 52, 25] Operation: 95-70=25
Exploring Operation: 70-52=18, Resulting Numbers: [7, 95, 18]
Generated Node #0,1: 11:[7, 95, 18] Operation: 70-52=18
Exploring Operation: 70/7=10, Resulting Numbers: [52, 95, 10]
Generated Node #0,2: 11:[52, 95, 10] Operation: 70/7=10
Exploring Operation: 95-52=43, Resulting Numbers: [70, 7, 43]
Generated Node #0,3: 11:[70, 7, 43] Operation: 95-52=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[7, 52, 25], Operations: ['95-70=25']
Exploring Operation: 52-25=27, Resulting Numbers: [7, 27]
Generated Node #0,0,0: 11:[7, 27] Operation: 52-25=27
Exploring Operation: 25-7=18, Resulting Numbers: [52, 18]
Generated Node #0,0,1: 11:[52, 18] Operation: 25-7=18
Exploring Operation: 7+52=59, Resulting Numbers: [25, 59]
Generated Node #0,0,2: 11:[25, 59] Operation: 7+52=59
Exploring Operation: 52-7=45, Resulting Numbers: [25, 45]
Generated Node #0,0,3: 11:[25, 45] Operation: 52-7=45
Moving to Node #0,0,0
Current State: 11:[7, 27], Operations: ['95-70=25', '52-25=27']
Exploring Operation: 7+27=34, Resulting Numbers: [34]
34,11 unequal: No Solution
Exploring Operation: 7*27=189, Resulting Numbers: [189]
189,11 unequal: No Solution
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Moving to Node #0,0,3
Current State: 11:[25, 45], Operations: ['95-70=25', '52-7=45']
Exploring Operation: 45-25=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 25*45=1125, Resulting Numbers: [1125]
1125,11 unequal: No Solution
Exploring Operation: 25+45=70, Resulting Numbers: [70]
70,11 unequal: No Solution
Moving to Node #0,0,1
Current State: 11:[52, 18], Operations: ['95-70=25', '25-7=18']
Exploring Operation: 52-18=34, Resulting Numbers: [34]
34,11 unequal: No Solution
Exploring Operation: 52*18=936, Resulting Numbers: [936]
936,11 unequal: No Solution
Exploring Operation: 52+18=70, Resulting Numbers: [70]
70,11 unequal: No Solution
Moving to Node #0,0,2
Current State: 11:[25, 59], Operations: ['95-70=25', '7+52=59']
Exploring Operation: 59-25=34, Resulting Numbers: [34]
34,11 unequal: No Solution
Exploring Operation: 25+59=84, Resulting Numbers: [84]
84,11 unequal: No Solution
Exploring Operation: 25*59=1475, Resulting Numbers: [1475]
1475,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[7, 95, 18], Operations: ['70-52=18']
Exploring Operation: 95-7=88, Resulting Numbers: [18, 88]
Generated Node #0,1,0: 11:[18, 88] Operation: 95-7=88
Exploring Operation: 95-18=77, Resulting Numbers: [7, 77]
Generated Node #0,1,1: 11:[7, 77] Operation: 95-18=77
Exploring Operation: 18-7=11, Resulting Numbers: [95, 11]
Generated Node #0,1,2: 11:[95, 11] Operation: 18-7=11
Exploring Operation: 7+95=102, Resulting Numbers: [18, 102]
Generated Node #0,1,3: 11:[18, 102] Operation: 7+95=102
Moving to Node #0,1,1
Current State: 11:[7, 77], Operations: ['70-52=18', '95-18=77']
Exploring Operation: 7+77=84, Resulting Numbers: [84]
84,11 unequal: No Solution
Exploring Operation: 7*77=539, Resulting Numbers: [539]
539,11 unequal: No Solution
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[70, 7, 52, 95], Operations: []
Exploring Operation: 70-52=18, Resulting Numbers: [7, 95, 18]
Generated Node #0,1: 11:[7, 95, 18] Operation: 70-52=18
Moving to Node #0,1
Current State: 11:[7, 95, 18], Operations: ['70-52=18']
Exploring Operation: 95-18=77, Resulting Numbers: [7, 77]
Generated Node #0,1,1: 11:[7, 77] Operation: 95-18=77
Moving to Node #0,1,1
Current State: 11:[7, 77], Operations: ['70-52=18', '95-18=77']
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.97309 | hs_4 | sum_heuristic |
[
66,
28,
32,
89
] | 92 | [
"89-66=23",
"32-28=4",
"23*4=92"
] | Current State: 92:[66, 28, 32, 89], Operations: []
Exploring Operation: 89-66=23, Resulting Numbers: [28, 32, 23]
Generated Node #2: [28, 32, 23] from Operation: 89-66=23
Current State: 92:[28, 32, 23], Operations: ['89-66=23']
Exploring Operation: 32-28=4, Resulting Numbers: [23, 4]
Generated Node #3: [23, 4] from Operation: 32-28=4
Current State: 92:[23, 4], Operations: ['89-66=23', '32-28=4']
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[66, 28, 32, 89], Operations: []
Exploring Operation: 66+32=98, Resulting Numbers: [28, 89, 98]
Generated Node #0,0: 92:[28, 89, 98] Operation: 66+32=98
Exploring Operation: 89-66=23, Resulting Numbers: [28, 32, 23]
Generated Node #0,1: 92:[28, 32, 23] Operation: 89-66=23
Exploring Operation: 66-32=34, Resulting Numbers: [28, 89, 34]
Generated Node #0,2: 92:[28, 89, 34] Operation: 66-32=34
Exploring Operation: 66+28=94, Resulting Numbers: [32, 89, 94]
Generated Node #0,3: 92:[32, 89, 94] Operation: 66+28=94
Moving to Node #0,0
Current State: 92:[28, 89, 98], Operations: ['66+32=98']
Exploring Operation: 98-89=9, Resulting Numbers: [28, 9]
Generated Node #0,0,0: 92:[28, 9] Operation: 98-89=9
Exploring Operation: 28+89=117, Resulting Numbers: [98, 117]
Generated Node #0,0,1: 92:[98, 117] Operation: 28+89=117
Exploring Operation: 89-28=61, Resulting Numbers: [98, 61]
Generated Node #0,0,2: 92:[98, 61] Operation: 89-28=61
Exploring Operation: 98-28=70, Resulting Numbers: [89, 70]
Generated Node #0,0,3: 92:[89, 70] Operation: 98-28=70
Moving to Node #0,3
Current State: 92:[32, 89, 94], Operations: ['66+28=94']
Exploring Operation: 32+89=121, Resulting Numbers: [94, 121]
Generated Node #0,3,0: 92:[94, 121] Operation: 32+89=121
Exploring Operation: 94-32=62, Resulting Numbers: [89, 62]
Generated Node #0,3,1: 92:[89, 62] Operation: 94-32=62
Exploring Operation: 94-89=5, Resulting Numbers: [32, 5]
Generated Node #0,3,2: 92:[32, 5] Operation: 94-89=5
Exploring Operation: 89-32=57, Resulting Numbers: [94, 57]
Generated Node #0,3,3: 92:[94, 57] Operation: 89-32=57
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 92:[32, 5], Operations: ['66+28=94', '94-89=5']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,92 unequal: No Solution
Exploring Operation: 32*5=160, Resulting Numbers: [160]
160,92 unequal: No Solution
Exploring Operation: 32+5=37, Resulting Numbers: [37]
37,92 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 #0,3,3
Current State: 92:[94, 57], Operations: ['66+28=94', '89-32=57']
Exploring Operation: 94+57=151, Resulting Numbers: [151]
151,92 unequal: No Solution
Exploring Operation: 94*57=5358, Resulting Numbers: [5358]
5358,92 unequal: No Solution
Exploring Operation: 94-57=37, Resulting Numbers: [37]
37,92 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 #0,3,1
Current State: 92:[89, 62], Operations: ['66+28=94', '94-32=62']
Exploring Operation: 89+62=151, Resulting Numbers: [151]
151,92 unequal: No Solution
Exploring Operation: 89-62=27, Resulting Numbers: [27]
27,92 unequal: No Solution
Exploring Operation: 89*62=5518, Resulting Numbers: [5518]
5518,92 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 #0,3,0
Current State: 92:[94, 121], Operations: ['66+28=94', '32+89=121']
Exploring Operation: 94*121=11374, Resulting Numbers: [11374]
11374,92 unequal: No Solution
Exploring Operation: 121-94=27, Resulting Numbers: [27]
27,92 unequal: No Solution
Exploring Operation: 94+121=215, Resulting Numbers: [215]
215,92 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: 92:[28, 32, 23], Operations: ['89-66=23']
Exploring Operation: 32-28=4, Resulting Numbers: [23, 4]
Generated Node #0,1,0: 92:[23, 4] Operation: 32-28=4
Exploring Operation: 32-23=9, Resulting Numbers: [28, 9]
Generated Node #0,1,1: 92:[28, 9] Operation: 32-23=9
Exploring Operation: 28-23=5, Resulting Numbers: [32, 5]
Generated Node #0,1,2: 92:[32, 5] Operation: 28-23=5
Exploring Operation: 28+32=60, Resulting Numbers: [23, 60]
Generated Node #0,1,3: 92:[23, 60] Operation: 28+32=60
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 92:[23, 4], Operations: ['89-66=23', '32-28=4']
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,92 unequal: No Solution
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[66, 28, 32, 89], Operations: []
Exploring Operation: 89-66=23, Resulting Numbers: [28, 32, 23]
Generated Node #0,1: 92:[28, 32, 23] Operation: 89-66=23
Moving to Node #0,1
Current State: 92:[28, 32, 23], Operations: ['89-66=23']
Exploring Operation: 32-28=4, Resulting Numbers: [23, 4]
Generated Node #0,1,0: 92:[23, 4] Operation: 32-28=4
Moving to Node #0,1,0
Current State: 92:[23, 4], Operations: ['89-66=23', '32-28=4']
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.970486 | hs_4 | sum_heuristic |
[
20,
17,
29,
95
] | 22 | [
"20-17=3",
"95-29=66",
"66/3=22"
] | Current State: 22:[20, 17, 29, 95], Operations: []
Exploring Operation: 20-17=3, Resulting Numbers: [29, 95, 3]
Generated Node #2: [29, 95, 3] from Operation: 20-17=3
Current State: 22:[29, 95, 3], Operations: ['20-17=3']
Exploring Operation: 95-29=66, Resulting Numbers: [3, 66]
Generated Node #3: [3, 66] from Operation: 95-29=66
Current State: 22:[3, 66], Operations: ['20-17=3', '95-29=66']
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[20, 17, 29, 95], Operations: []
Exploring Operation: 95-29=66, Resulting Numbers: [20, 17, 66]
Generated Node #0,0: 22:[20, 17, 66] Operation: 95-29=66
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[20, 17, 66], Operations: ['95-29=66']
Exploring Operation: 66-20=46, Resulting Numbers: [17, 46]
Generated Node #0,0,0: 22:[17, 46] Operation: 66-20=46
Moving to Node #0,0,0
Current State: 22:[17, 46], Operations: ['95-29=66', '66-20=46']
Exploring Operation: 46-17=29, Resulting Numbers: [29]
29,22 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 |
[
1,
16,
25,
24
] | 33 | [
"1*16=16",
"25+24=49",
"49-16=33"
] | Current State: 33:[1, 16, 25, 24], Operations: []
Exploring Operation: 1*16=16, Resulting Numbers: [25, 24, 16]
Generated Node #2: [25, 24, 16] from Operation: 1*16=16
Current State: 33:[25, 24, 16], Operations: ['1*16=16']
Exploring Operation: 25+24=49, Resulting Numbers: [16, 49]
Generated Node #3: [16, 49] from Operation: 25+24=49
Current State: 33:[16, 49], Operations: ['1*16=16', '25+24=49']
Exploring Operation: 49-16=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[1, 16, 25, 24], Operations: []
Exploring Operation: 16+24=40, Resulting Numbers: [1, 25, 40]
Generated Node #0,0: 33:[1, 25, 40] Operation: 16+24=40
Exploring Operation: 25-24=1, Resulting Numbers: [1, 16, 1]
Generated Node #0,1: 33:[1, 16, 1] Operation: 25-24=1
Exploring Operation: 24-16=8, Resulting Numbers: [1, 25, 8]
Generated Node #0,2: 33:[1, 25, 8] Operation: 24-16=8
Exploring Operation: 25-16=9, Resulting Numbers: [1, 24, 9]
Generated Node #0,3: 33:[1, 24, 9] Operation: 25-16=9
Exploring Operation: 16+25=41, Resulting Numbers: [1, 24, 41]
Generated Node #0,4: 33:[1, 24, 41] Operation: 16+25=41
Start Sub Search at level 1: Moving to Node #0,1
Current State: 33:[1, 16, 1], Operations: ['25-24=1']
Exploring Operation: 16/1=16, Resulting Numbers: [1, 16]
Generated Node #0,1,0: 33:[1, 16] Operation: 16/1=16
Exploring Operation: 1*16=16, Resulting Numbers: [1, 16]
Generated Node #0,1,1: 33:[1, 16] Operation: 1*16=16
Exploring Operation: 16-1=15, Resulting Numbers: [1, 15]
Generated Node #0,1,2: 33:[1, 15] Operation: 16-1=15
Exploring Operation: 16-1=15, Resulting Numbers: [1, 15]
Generated Node #0,1,3: 33:[1, 15] Operation: 16-1=15
Exploring Operation: 1+1=2, Resulting Numbers: [16, 2]
Generated Node #0,1,4: 33:[16, 2] Operation: 1+1=2
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 33:[1, 15], Operations: ['25-24=1', '16-1=15']
Exploring Operation: 15-1=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 1*15=15, Resulting Numbers: [15]
15,33 unequal: No Solution
Exploring Operation: 1+15=16, Resulting Numbers: [16]
16,33 unequal: No Solution
Exploring Operation: 15/1=15, Resulting Numbers: [15]
15,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 33:[1, 15], Operations: ['25-24=1', '16-1=15']
Exploring Operation: 1*15=15, Resulting Numbers: [15]
15,33 unequal: No Solution
Exploring Operation: 15/1=15, Resulting Numbers: [15]
15,33 unequal: No Solution
Exploring Operation: 15-1=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 1+15=16, Resulting Numbers: [16]
16,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 33:[16, 2], Operations: ['25-24=1', '1+1=2']
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,33 unequal: No Solution
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,33 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 33:[1, 16], Operations: ['25-24=1', '16/1=16']
Exploring Operation: 1*16=16, Resulting Numbers: [16]
16,33 unequal: No Solution
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,33 unequal: No Solution
Exploring Operation: 1+16=17, Resulting Numbers: [17]
17,33 unequal: No Solution
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 33:[1, 16], Operations: ['25-24=1', '1*16=16']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,33 unequal: No Solution
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,33 unequal: No Solution
Exploring Operation: 1+16=17, Resulting Numbers: [17]
17,33 unequal: No Solution
Exploring Operation: 1*16=16, Resulting Numbers: [16]
16,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 33:[1, 25, 8], Operations: ['24-16=8']
Exploring Operation: 25+8=33, Resulting Numbers: [1, 33]
Generated Node #0,2,0: 33:[1, 33] Operation: 25+8=33
Exploring Operation: 25-8=17, Resulting Numbers: [1, 17]
Generated Node #0,2,1: 33:[1, 17] Operation: 25-8=17
Exploring Operation: 1+8=9, Resulting Numbers: [25, 9]
Generated Node #0,2,2: 33:[25, 9] Operation: 1+8=9
Exploring Operation: 1+25=26, Resulting Numbers: [8, 26]
Generated Node #0,2,3: 33:[8, 26] Operation: 1+25=26
Exploring Operation: 1*25=25, Resulting Numbers: [8, 25]
Generated Node #0,2,4: 33:[8, 25] Operation: 1*25=25
Moving to Node #0,2,0
Current State: 33:[1, 33], Operations: ['24-16=8', '25+8=33']
Exploring Operation: 1+33=34, Resulting Numbers: [34]
34,33 unequal: No Solution
Exploring Operation: 33-1=32, Resulting Numbers: [32]
32,33 unequal: No Solution
Exploring Operation: 1*33=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[1, 16, 25, 24], Operations: []
Exploring Operation: 24-16=8, Resulting Numbers: [1, 25, 8]
Generated Node #0,2: 33:[1, 25, 8] Operation: 24-16=8
Moving to Node #0,2
Current State: 33:[1, 25, 8], Operations: ['24-16=8']
Exploring Operation: 25+8=33, Resulting Numbers: [1, 33]
Generated Node #0,2,0: 33:[1, 33] Operation: 25+8=33
Moving to Node #0,2,0
Current State: 33:[1, 33], Operations: ['24-16=8', '25+8=33']
Exploring Operation: 1*33=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 | hs_5 | sum_heuristic |
[
56,
55,
42,
32
] | 75 | [
"56-55=1",
"42+32=74",
"1+74=75"
] | Current State: 75:[56, 55, 42, 32], Operations: []
Exploring Operation: 56-55=1, Resulting Numbers: [42, 32, 1]
Generated Node #2: [42, 32, 1] from Operation: 56-55=1
Current State: 75:[42, 32, 1], Operations: ['56-55=1']
Exploring Operation: 42+32=74, Resulting Numbers: [1, 74]
Generated Node #3: [1, 74] from Operation: 42+32=74
Current State: 75:[1, 74], Operations: ['56-55=1', '42+32=74']
Exploring Operation: 1+74=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[56, 55, 42, 32], Operations: []
Exploring Operation: 56-32=24, Resulting Numbers: [55, 42, 24]
Generated Node #0,0: 75:[55, 42, 24] Operation: 56-32=24
Exploring Operation: 56-55=1, Resulting Numbers: [42, 32, 1]
Generated Node #0,1: 75:[42, 32, 1] Operation: 56-55=1
Exploring Operation: 55-42=13, Resulting Numbers: [56, 32, 13]
Generated Node #0,2: 75:[56, 32, 13] Operation: 55-42=13
Exploring Operation: 56-42=14, Resulting Numbers: [55, 32, 14]
Generated Node #0,3: 75:[55, 32, 14] Operation: 56-42=14
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[42, 32, 1], Operations: ['56-55=1']
Exploring Operation: 32-1=31, Resulting Numbers: [42, 31]
Generated Node #0,1,0: 75:[42, 31] Operation: 32-1=31
Exploring Operation: 42-32=10, Resulting Numbers: [1, 10]
Generated Node #0,1,1: 75:[1, 10] Operation: 42-32=10
Exploring Operation: 42-1=41, Resulting Numbers: [32, 41]
Generated Node #0,1,2: 75:[32, 41] Operation: 42-1=41
Exploring Operation: 42+32=74, Resulting Numbers: [1, 74]
Generated Node #0,1,3: 75:[1, 74] Operation: 42+32=74
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 75:[1, 74], Operations: ['56-55=1', '42+32=74']
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,75 unequal: No Solution
Exploring Operation: 1+74=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[56, 55, 42, 32], Operations: []
Exploring Operation: 56-55=1, Resulting Numbers: [42, 32, 1]
Generated Node #0,1: 75:[42, 32, 1] Operation: 56-55=1
Moving to Node #0,1
Current State: 75:[42, 32, 1], Operations: ['56-55=1']
Exploring Operation: 42+32=74, Resulting Numbers: [1, 74]
Generated Node #0,1,3: 75:[1, 74] Operation: 42+32=74
Moving to Node #0,1,3
Current State: 75:[1, 74], Operations: ['56-55=1', '42+32=74']
Exploring Operation: 1+74=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
60,
82,
47,
72
] | 97 | [
"82-60=22",
"47+72=119",
"119-22=97"
] | Current State: 97:[60, 82, 47, 72], Operations: []
Exploring Operation: 82-60=22, Resulting Numbers: [47, 72, 22]
Generated Node #2: [47, 72, 22] from Operation: 82-60=22
Current State: 97:[47, 72, 22], Operations: ['82-60=22']
Exploring Operation: 47+72=119, Resulting Numbers: [22, 119]
Generated Node #3: [22, 119] from Operation: 47+72=119
Current State: 97:[22, 119], Operations: ['82-60=22', '47+72=119']
Exploring Operation: 119-22=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[60, 82, 47, 72], Operations: []
Exploring Operation: 60+47=107, Resulting Numbers: [82, 72, 107]
Generated Node #0,0: 97:[82, 72, 107] Operation: 60+47=107
Exploring Operation: 47+72=119, Resulting Numbers: [60, 82, 119]
Generated Node #0,1: 97:[60, 82, 119] Operation: 47+72=119
Exploring Operation: 82+47=129, Resulting Numbers: [60, 72, 129]
Generated Node #0,2: 97:[60, 72, 129] Operation: 82+47=129
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[82, 72, 107], Operations: ['60+47=107']
Exploring Operation: 107-72=35, Resulting Numbers: [82, 35]
Generated Node #0,0,0: 97:[82, 35] Operation: 107-72=35
Exploring Operation: 82-72=10, Resulting Numbers: [107, 10]
Generated Node #0,0,1: 97:[107, 10] Operation: 82-72=10
Exploring Operation: 82+72=154, Resulting Numbers: [107, 154]
Generated Node #0,0,2: 97:[107, 154] Operation: 82+72=154
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 97:[107, 154], Operations: ['60+47=107', '82+72=154']
Exploring Operation: 107+154=261, Resulting Numbers: [261]
261,97 unequal: No Solution
Exploring Operation: 107*154=16478, Resulting Numbers: [16478]
16478,97 unequal: No Solution
Exploring Operation: 154-107=47, Resulting Numbers: [47]
47,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[82, 35], Operations: ['60+47=107', '107-72=35']
Exploring Operation: 82+35=117, Resulting Numbers: [117]
117,97 unequal: No Solution
Exploring Operation: 82*35=2870, Resulting Numbers: [2870]
2870,97 unequal: No Solution
Exploring Operation: 82-35=47, Resulting Numbers: [47]
47,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 97:[107, 10], Operations: ['60+47=107', '82-72=10']
Exploring Operation: 107-10=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[60, 82, 47, 72], Operations: []
Exploring Operation: 60+47=107, Resulting Numbers: [82, 72, 107]
Generated Node #0,0: 97:[82, 72, 107] Operation: 60+47=107
Moving to Node #0,0
Current State: 97:[82, 72, 107], Operations: ['60+47=107']
Exploring Operation: 82-72=10, Resulting Numbers: [107, 10]
Generated Node #0,0,1: 97:[107, 10] Operation: 82-72=10
Moving to Node #0,0,1
Current State: 97:[107, 10], Operations: ['60+47=107', '82-72=10']
Exploring Operation: 107-10=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_3 | mult_heuristic |
[
76,
21,
14,
25
] | 20 | [
"25-21=4",
"14*4=56",
"76-56=20"
] | Current State: 20:[76, 21, 14, 25], Operations: []
Exploring Operation: 25-21=4, Resulting Numbers: [76, 14, 4]
Generated Node #2: [76, 14, 4] from Operation: 25-21=4
Current State: 20:[76, 14, 4], Operations: ['25-21=4']
Exploring Operation: 14*4=56, Resulting Numbers: [76, 56]
Generated Node #3: [76, 56] from Operation: 14*4=56
Current State: 20:[76, 56], Operations: ['25-21=4', '14*4=56']
Exploring Operation: 76-56=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[76, 21, 14, 25], Operations: []
Exploring Operation: 25-14=11, Resulting Numbers: [76, 21, 11]
Generated Node #0,0: 20:[76, 21, 11] Operation: 25-14=11
Exploring Operation: 25-21=4, Resulting Numbers: [76, 14, 4]
Generated Node #0,1: 20:[76, 14, 4] Operation: 25-21=4
Exploring Operation: 76-14=62, Resulting Numbers: [21, 25, 62]
Generated Node #0,2: 20:[21, 25, 62] Operation: 76-14=62
Exploring Operation: 76-25=51, Resulting Numbers: [21, 14, 51]
Generated Node #0,3: 20:[21, 14, 51] Operation: 76-25=51
Exploring Operation: 76-21=55, Resulting Numbers: [14, 25, 55]
Generated Node #0,4: 20:[14, 25, 55] Operation: 76-21=55
Start Sub Search at level 1: Moving to Node #0,3
Current State: 20:[21, 14, 51], Operations: ['76-25=51']
Exploring Operation: 51-21=30, Resulting Numbers: [14, 30]
Generated Node #0,3,0: 20:[14, 30] Operation: 51-21=30
Exploring Operation: 14+51=65, Resulting Numbers: [21, 65]
Generated Node #0,3,1: 20:[21, 65] Operation: 14+51=65
Exploring Operation: 21+14=35, Resulting Numbers: [51, 35]
Generated Node #0,3,2: 20:[51, 35] Operation: 21+14=35
Exploring Operation: 21-14=7, Resulting Numbers: [51, 7]
Generated Node #0,3,3: 20:[51, 7] Operation: 21-14=7
Exploring Operation: 51-14=37, Resulting Numbers: [21, 37]
Generated Node #0,3,4: 20:[21, 37] Operation: 51-14=37
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 20:[14, 30], Operations: ['76-25=51', '51-21=30']
Exploring Operation: 14+30=44, Resulting Numbers: [44]
44,20 unequal: No Solution
Exploring Operation: 14*30=420, Resulting Numbers: [420]
420,20 unequal: No Solution
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 20:[21, 37], Operations: ['76-25=51', '51-14=37']
Exploring Operation: 21+37=58, Resulting Numbers: [58]
58,20 unequal: No Solution
Exploring Operation: 37-21=16, Resulting Numbers: [16]
16,20 unequal: No Solution
Exploring Operation: 21*37=777, Resulting Numbers: [777]
777,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 20:[51, 7], Operations: ['76-25=51', '21-14=7']
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,20 unequal: No Solution
Exploring Operation: 51+7=58, Resulting Numbers: [58]
58,20 unequal: No Solution
Exploring Operation: 51*7=357, Resulting Numbers: [357]
357,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 20:[21, 65], Operations: ['76-25=51', '14+51=65']
Exploring Operation: 65-21=44, Resulting Numbers: [44]
44,20 unequal: No Solution
Exploring Operation: 21+65=86, Resulting Numbers: [86]
86,20 unequal: No Solution
Exploring Operation: 21*65=1365, Resulting Numbers: [1365]
1365,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 20:[51, 35], Operations: ['76-25=51', '21+14=35']
Exploring Operation: 51-35=16, Resulting Numbers: [16]
16,20 unequal: No Solution
Exploring Operation: 51*35=1785, Resulting Numbers: [1785]
1785,20 unequal: No Solution
Exploring Operation: 51+35=86, Resulting Numbers: [86]
86,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 20:[14, 25, 55], Operations: ['76-21=55']
Exploring Operation: 55-25=30, Resulting Numbers: [14, 30]
Generated Node #0,4,0: 20:[14, 30] Operation: 55-25=30
Exploring Operation: 14+25=39, Resulting Numbers: [55, 39]
Generated Node #0,4,1: 20:[55, 39] Operation: 14+25=39
Exploring Operation: 25-14=11, Resulting Numbers: [55, 11]
Generated Node #0,4,2: 20:[55, 11] Operation: 25-14=11
Exploring Operation: 55-14=41, Resulting Numbers: [25, 41]
Generated Node #0,4,3: 20:[25, 41] Operation: 55-14=41
Exploring Operation: 14+55=69, Resulting Numbers: [25, 69]
Generated Node #0,4,4: 20:[25, 69] Operation: 14+55=69
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 20:[14, 30], Operations: ['76-21=55', '55-25=30']
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,20 unequal: No Solution
Exploring Operation: 14*30=420, Resulting Numbers: [420]
420,20 unequal: No Solution
Exploring Operation: 14+30=44, Resulting Numbers: [44]
44,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 20:[25, 41], Operations: ['76-21=55', '55-14=41']
Exploring Operation: 25+41=66, Resulting Numbers: [66]
66,20 unequal: No Solution
Exploring Operation: 25*41=1025, Resulting Numbers: [1025]
1025,20 unequal: No Solution
Exploring Operation: 41-25=16, Resulting Numbers: [16]
16,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 20:[55, 11], Operations: ['76-21=55', '25-14=11']
Exploring Operation: 55*11=605, Resulting Numbers: [605]
605,20 unequal: No Solution
Exploring Operation: 55/11=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Exploring Operation: 55-11=44, Resulting Numbers: [44]
44,20 unequal: No Solution
Exploring Operation: 55+11=66, Resulting Numbers: [66]
66,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 20:[55, 39], Operations: ['76-21=55', '14+25=39']
Exploring Operation: 55-39=16, Resulting Numbers: [16]
16,20 unequal: No Solution
Exploring Operation: 55+39=94, Resulting Numbers: [94]
94,20 unequal: No Solution
Exploring Operation: 55*39=2145, Resulting Numbers: [2145]
2145,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 20:[25, 69], Operations: ['76-21=55', '14+55=69']
Exploring Operation: 25*69=1725, Resulting Numbers: [1725]
1725,20 unequal: No Solution
Exploring Operation: 25+69=94, Resulting Numbers: [94]
94,20 unequal: No Solution
Exploring Operation: 69-25=44, Resulting Numbers: [44]
44,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 20:[21, 25, 62], Operations: ['76-14=62']
Exploring Operation: 25-21=4, Resulting Numbers: [62, 4]
Generated Node #0,2,0: 20:[62, 4] Operation: 25-21=4
Exploring Operation: 62-21=41, Resulting Numbers: [25, 41]
Generated Node #0,2,1: 20:[25, 41] Operation: 62-21=41
Exploring Operation: 62-25=37, Resulting Numbers: [21, 37]
Generated Node #0,2,2: 20:[21, 37] Operation: 62-25=37
Exploring Operation: 21+62=83, Resulting Numbers: [25, 83]
Generated Node #0,2,3: 20:[25, 83] Operation: 21+62=83
Exploring Operation: 21+25=46, Resulting Numbers: [62, 46]
Generated Node #0,2,4: 20:[62, 46] Operation: 21+25=46
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 20:[21, 37], Operations: ['76-14=62', '62-25=37']
Exploring Operation: 37-21=16, Resulting Numbers: [16]
16,20 unequal: No Solution
Exploring Operation: 21*37=777, Resulting Numbers: [777]
777,20 unequal: No Solution
Exploring Operation: 21+37=58, Resulting Numbers: [58]
58,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 20:[25, 41], Operations: ['76-14=62', '62-21=41']
Exploring Operation: 41-25=16, Resulting Numbers: [16]
16,20 unequal: No Solution
Exploring Operation: 25*41=1025, Resulting Numbers: [1025]
1025,20 unequal: No Solution
Exploring Operation: 25+41=66, Resulting Numbers: [66]
66,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 20:[62, 4], Operations: ['76-14=62', '25-21=4']
Exploring Operation: 62*4=248, Resulting Numbers: [248]
248,20 unequal: No Solution
Exploring Operation: 62+4=66, Resulting Numbers: [66]
66,20 unequal: No Solution
Exploring Operation: 62-4=58, Resulting Numbers: [58]
58,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 20:[25, 83], Operations: ['76-14=62', '21+62=83']
Exploring Operation: 83-25=58, Resulting Numbers: [58]
58,20 unequal: No Solution
Exploring Operation: 25*83=2075, Resulting Numbers: [2075]
2075,20 unequal: No Solution
Exploring Operation: 25+83=108, Resulting Numbers: [108]
108,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 20:[62, 46], Operations: ['76-14=62', '21+25=46']
Exploring Operation: 62+46=108, Resulting Numbers: [108]
108,20 unequal: No Solution
Exploring Operation: 62-46=16, Resulting Numbers: [16]
16,20 unequal: No Solution
Exploring Operation: 62*46=2852, Resulting Numbers: [2852]
2852,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[76, 21, 11], Operations: ['25-14=11']
Exploring Operation: 21-11=10, Resulting Numbers: [76, 10]
Generated Node #0,0,0: 20:[76, 10] Operation: 21-11=10
Exploring Operation: 76-21=55, Resulting Numbers: [11, 55]
Generated Node #0,0,1: 20:[11, 55] Operation: 76-21=55
Exploring Operation: 76+11=87, Resulting Numbers: [21, 87]
Generated Node #0,0,2: 20:[21, 87] Operation: 76+11=87
Exploring Operation: 21+11=32, Resulting Numbers: [76, 32]
Generated Node #0,0,3: 20:[76, 32] Operation: 21+11=32
Exploring Operation: 76-11=65, Resulting Numbers: [21, 65]
Generated Node #0,0,4: 20:[21, 65] Operation: 76-11=65
Moving to Node #0,0,1
Current State: 20:[11, 55], Operations: ['25-14=11', '76-21=55']
Exploring Operation: 11*55=605, Resulting Numbers: [605]
605,20 unequal: No Solution
Exploring Operation: 55-11=44, Resulting Numbers: [44]
44,20 unequal: No Solution
Exploring Operation: 55/11=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Exploring Operation: 11+55=66, Resulting Numbers: [66]
66,20 unequal: No Solution
Moving to Node #0,0,4
Current State: 20:[21, 65], Operations: ['25-14=11', '76-11=65']
Exploring Operation: 65-21=44, Resulting Numbers: [44]
44,20 unequal: No Solution
Exploring Operation: 21+65=86, Resulting Numbers: [86]
86,20 unequal: No Solution
Exploring Operation: 21*65=1365, Resulting Numbers: [1365]
1365,20 unequal: No Solution
Moving to Node #0,0,0
Current State: 20:[76, 10], Operations: ['25-14=11', '21-11=10']
Exploring Operation: 76*10=760, Resulting Numbers: [760]
760,20 unequal: No Solution
Exploring Operation: 76-10=66, Resulting Numbers: [66]
66,20 unequal: No Solution
Exploring Operation: 76+10=86, Resulting Numbers: [86]
86,20 unequal: No Solution
Moving to Node #0,0,2
Current State: 20:[21, 87], Operations: ['25-14=11', '76+11=87']
Exploring Operation: 21+87=108, Resulting Numbers: [108]
108,20 unequal: No Solution
Exploring Operation: 21*87=1827, Resulting Numbers: [1827]
1827,20 unequal: No Solution
Exploring Operation: 87-21=66, Resulting Numbers: [66]
66,20 unequal: No Solution
Moving to Node #0,0,3
Current State: 20:[76, 32], Operations: ['25-14=11', '21+11=32']
Exploring Operation: 76+32=108, Resulting Numbers: [108]
108,20 unequal: No Solution
Exploring Operation: 76-32=44, Resulting Numbers: [44]
44,20 unequal: No Solution
Exploring Operation: 76*32=2432, Resulting Numbers: [2432]
2432,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 20:[76, 14, 4], Operations: ['25-21=4']
Exploring Operation: 76-4=72, Resulting Numbers: [14, 72]
Generated Node #0,1,0: 20:[14, 72] Operation: 76-4=72
Exploring Operation: 76-14=62, Resulting Numbers: [4, 62]
Generated Node #0,1,1: 20:[4, 62] Operation: 76-14=62
Exploring Operation: 76/4=19, Resulting Numbers: [14, 19]
Generated Node #0,1,2: 20:[14, 19] Operation: 76/4=19
Exploring Operation: 14+4=18, Resulting Numbers: [76, 18]
Generated Node #0,1,3: 20:[76, 18] Operation: 14+4=18
Exploring Operation: 14-4=10, Resulting Numbers: [76, 10]
Generated Node #0,1,4: 20:[76, 10] Operation: 14-4=10
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 20:[14, 19], Operations: ['25-21=4', '76/4=19']
Exploring Operation: 14+19=33, Resulting Numbers: [33]
33,20 unequal: No Solution
Exploring Operation: 19-14=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Exploring Operation: 14*19=266, Resulting Numbers: [266]
266,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 20:[4, 62], Operations: ['25-21=4', '76-14=62']
Exploring Operation: 62-4=58, Resulting Numbers: [58]
58,20 unequal: No Solution
Exploring Operation: 4+62=66, Resulting Numbers: [66]
66,20 unequal: No Solution
Exploring Operation: 4*62=248, Resulting Numbers: [248]
248,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 20:[14, 72], Operations: ['25-21=4', '76-4=72']
Exploring Operation: 14+72=86, Resulting Numbers: [86]
86,20 unequal: No Solution
Exploring Operation: 14*72=1008, Resulting Numbers: [1008]
1008,20 unequal: No Solution
Exploring Operation: 72-14=58, Resulting Numbers: [58]
58,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 20:[76, 10], Operations: ['25-21=4', '14-4=10']
Exploring Operation: 76-10=66, Resulting Numbers: [66]
66,20 unequal: No Solution
Exploring Operation: 76+10=86, Resulting Numbers: [86]
86,20 unequal: No Solution
Exploring Operation: 76*10=760, Resulting Numbers: [760]
760,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 20:[76, 18], Operations: ['25-21=4', '14+4=18']
Exploring Operation: 76*18=1368, Resulting Numbers: [1368]
1368,20 unequal: No Solution
Exploring Operation: 76+18=94, Resulting Numbers: [94]
94,20 unequal: No Solution
Exploring Operation: 76-18=58, Resulting Numbers: [58]
58,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
76,
86,
6,
74
] | 47 | [
"76+86=162",
"162/6=27",
"74-27=47"
] | Current State: 47:[76, 86, 6, 74], Operations: []
Exploring Operation: 76+86=162, Resulting Numbers: [6, 74, 162]
Generated Node #2: [6, 74, 162] from Operation: 76+86=162
Current State: 47:[6, 74, 162], Operations: ['76+86=162']
Exploring Operation: 162/6=27, Resulting Numbers: [74, 27]
Generated Node #3: [74, 27] from Operation: 162/6=27
Current State: 47:[74, 27], Operations: ['76+86=162', '162/6=27']
Exploring Operation: 74-27=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[76, 86, 6, 74], Operations: []
Exploring Operation: 74-6=68, Resulting Numbers: [76, 86, 68]
Generated Node #0,0: 47:[76, 86, 68] Operation: 74-6=68
Exploring Operation: 76+6=82, Resulting Numbers: [86, 74, 82]
Generated Node #0,1: 47:[86, 74, 82] Operation: 76+6=82
Exploring Operation: 86-6=80, Resulting Numbers: [76, 74, 80]
Generated Node #0,2: 47:[76, 74, 80] Operation: 86-6=80
Exploring Operation: 76-6=70, Resulting Numbers: [86, 74, 70]
Generated Node #0,3: 47:[86, 74, 70] Operation: 76-6=70
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[76, 86, 68], Operations: ['74-6=68']
Exploring Operation: 86-68=18, Resulting Numbers: [76, 18]
Generated Node #0,0,0: 47:[76, 18] Operation: 86-68=18
Exploring Operation: 86-76=10, Resulting Numbers: [68, 10]
Generated Node #0,0,1: 47:[68, 10] Operation: 86-76=10
Exploring Operation: 76-68=8, Resulting Numbers: [86, 8]
Generated Node #0,0,2: 47:[86, 8] Operation: 76-68=8
Exploring Operation: 76+86=162, Resulting Numbers: [68, 162]
Generated Node #0,0,3: 47:[68, 162] Operation: 76+86=162
Moving to Node #0,0,0
Current State: 47:[76, 18], Operations: ['74-6=68', '86-68=18']
Exploring Operation: 76+18=94, Resulting Numbers: [94]
94,47 unequal: No Solution
Exploring Operation: 76*18=1368, Resulting Numbers: [1368]
1368,47 unequal: No Solution
Exploring Operation: 76-18=58, Resulting Numbers: [58]
58,47 unequal: No Solution
Moving to Node #0,0,1
Current State: 47:[68, 10], Operations: ['74-6=68', '86-76=10']
Exploring Operation: 68+10=78, Resulting Numbers: [78]
78,47 unequal: No Solution
Exploring Operation: 68*10=680, Resulting Numbers: [680]
680,47 unequal: No Solution
Exploring Operation: 68-10=58, Resulting Numbers: [58]
58,47 unequal: No Solution
Moving to Node #0,0,2
Current State: 47:[86, 8], Operations: ['74-6=68', '76-68=8']
Exploring Operation: 86-8=78, Resulting Numbers: [78]
78,47 unequal: No Solution
Exploring Operation: 86*8=688, Resulting Numbers: [688]
688,47 unequal: No Solution
Exploring Operation: 86+8=94, Resulting Numbers: [94]
94,47 unequal: No Solution
Moving to Node #0,0,3
Current State: 47:[68, 162], Operations: ['74-6=68', '76+86=162']
Exploring Operation: 68+162=230, Resulting Numbers: [230]
230,47 unequal: No Solution
Exploring Operation: 162-68=94, Resulting Numbers: [94]
94,47 unequal: No Solution
Exploring Operation: 68*162=11016, Resulting Numbers: [11016]
11016,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 47:[76, 74, 80], Operations: ['86-6=80']
Exploring Operation: 76+74=150, Resulting Numbers: [80, 150]
Generated Node #0,2,0: 47:[80, 150] Operation: 76+74=150
Exploring Operation: 80-76=4, Resulting Numbers: [74, 4]
Generated Node #0,2,1: 47:[74, 4] Operation: 80-76=4
Exploring Operation: 80-74=6, Resulting Numbers: [76, 6]
Generated Node #0,2,2: 47:[76, 6] Operation: 80-74=6
Exploring Operation: 76-74=2, Resulting Numbers: [80, 2]
Generated Node #0,2,3: 47:[80, 2] Operation: 76-74=2
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 47:[74, 4], Operations: ['86-6=80', '80-76=4']
Exploring Operation: 74-4=70, Resulting Numbers: [70]
70,47 unequal: No Solution
Exploring Operation: 74+4=78, Resulting Numbers: [78]
78,47 unequal: No Solution
Exploring Operation: 74*4=296, Resulting Numbers: [296]
296,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 47:[76, 6], Operations: ['86-6=80', '80-74=6']
Exploring Operation: 76*6=456, Resulting Numbers: [456]
456,47 unequal: No Solution
Exploring Operation: 76+6=82, Resulting Numbers: [82]
82,47 unequal: No Solution
Exploring Operation: 76-6=70, Resulting Numbers: [70]
70,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 47:[80, 2], Operations: ['86-6=80', '76-74=2']
Exploring Operation: 80*2=160, Resulting Numbers: [160]
160,47 unequal: No Solution
Exploring Operation: 80+2=82, Resulting Numbers: [82]
82,47 unequal: No Solution
Exploring Operation: 80/2=40, Resulting Numbers: [40]
40,47 unequal: No Solution
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 47:[80, 150], Operations: ['86-6=80', '76+74=150']
Exploring Operation: 150-80=70, Resulting Numbers: [70]
70,47 unequal: No Solution
Exploring Operation: 80+150=230, Resulting Numbers: [230]
230,47 unequal: No Solution
Exploring Operation: 80*150=12000, Resulting Numbers: [12000]
12000,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 47:[86, 74, 70], Operations: ['76-6=70']
Exploring Operation: 86-70=16, Resulting Numbers: [74, 16]
Generated Node #0,3,0: 47:[74, 16] Operation: 86-70=16
Exploring Operation: 86-74=12, Resulting Numbers: [70, 12]
Generated Node #0,3,1: 47:[70, 12] Operation: 86-74=12
Exploring Operation: 86+74=160, Resulting Numbers: [70, 160]
Generated Node #0,3,2: 47:[70, 160] Operation: 86+74=160
Exploring Operation: 74-70=4, Resulting Numbers: [86, 4]
Generated Node #0,3,3: 47:[86, 4] Operation: 74-70=4
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 47:[74, 16], Operations: ['76-6=70', '86-70=16']
Exploring Operation: 74-16=58, Resulting Numbers: [58]
58,47 unequal: No Solution
Exploring Operation: 74+16=90, Resulting Numbers: [90]
90,47 unequal: No Solution
Exploring Operation: 74*16=1184, Resulting Numbers: [1184]
1184,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 47:[70, 12], Operations: ['76-6=70', '86-74=12']
Exploring Operation: 70-12=58, Resulting Numbers: [58]
58,47 unequal: No Solution
Exploring Operation: 70*12=840, Resulting Numbers: [840]
840,47 unequal: No Solution
Exploring Operation: 70+12=82, Resulting Numbers: [82]
82,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 47:[86, 4], Operations: ['76-6=70', '74-70=4']
Exploring Operation: 86+4=90, Resulting Numbers: [90]
90,47 unequal: No Solution
Exploring Operation: 86*4=344, Resulting Numbers: [344]
344,47 unequal: No Solution
Exploring Operation: 86-4=82, Resulting Numbers: [82]
82,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 47:[70, 160], Operations: ['76-6=70', '86+74=160']
Exploring Operation: 160-70=90, Resulting Numbers: [90]
90,47 unequal: No Solution
Exploring Operation: 70*160=11200, Resulting Numbers: [11200]
11200,47 unequal: No Solution
Exploring Operation: 70+160=230, Resulting Numbers: [230]
230,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[86, 74, 82], Operations: ['76+6=82']
Exploring Operation: 86-74=12, Resulting Numbers: [82, 12]
Generated Node #0,1,0: 47:[82, 12] Operation: 86-74=12
Exploring Operation: 86+74=160, Resulting Numbers: [82, 160]
Generated Node #0,1,1: 47:[82, 160] Operation: 86+74=160
Exploring Operation: 82-74=8, Resulting Numbers: [86, 8]
Generated Node #0,1,2: 47:[86, 8] Operation: 82-74=8
Exploring Operation: 86-82=4, Resulting Numbers: [74, 4]
Generated Node #0,1,3: 47:[74, 4] Operation: 86-82=4
Moving to Node #0,1,0
Current State: 47:[82, 12], Operations: ['76+6=82', '86-74=12']
Exploring Operation: 82-12=70, Resulting Numbers: [70]
70,47 unequal: No Solution
Exploring Operation: 82*12=984, Resulting Numbers: [984]
984,47 unequal: No Solution
Exploring Operation: 82+12=94, Resulting Numbers: [94]
94,47 unequal: No Solution
Moving to Node #0,1,3
Current State: 47:[74, 4], Operations: ['76+6=82', '86-82=4']
Exploring Operation: 74-4=70, Resulting Numbers: [70]
70,47 unequal: No Solution
Exploring Operation: 74*4=296, Resulting Numbers: [296]
296,47 unequal: No Solution
Exploring Operation: 74+4=78, Resulting Numbers: [78]
78,47 unequal: No Solution
Moving to Node #0,1,2
Current State: 47:[86, 8], Operations: ['76+6=82', '82-74=8']
Exploring Operation: 86-8=78, Resulting Numbers: [78]
78,47 unequal: No Solution
Exploring Operation: 86*8=688, Resulting Numbers: [688]
688,47 unequal: No Solution
Exploring Operation: 86+8=94, Resulting Numbers: [94]
94,47 unequal: No Solution
Moving to Node #0,1,1
Current State: 47:[82, 160], Operations: ['76+6=82', '86+74=160']
Exploring Operation: 82*160=13120, Resulting Numbers: [13120]
13120,47 unequal: No Solution
Exploring Operation: 160-82=78, Resulting Numbers: [78]
78,47 unequal: No Solution
Exploring Operation: 82+160=242, Resulting Numbers: [242]
242,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
28,
4,
86,
93
] | 67 | [
"28*4=112",
"86+93=179",
"179-112=67"
] | Current State: 67:[28, 4, 86, 93], Operations: []
Exploring Operation: 28*4=112, Resulting Numbers: [86, 93, 112]
Generated Node #2: [86, 93, 112] from Operation: 28*4=112
Current State: 67:[86, 93, 112], Operations: ['28*4=112']
Exploring Operation: 86+93=179, Resulting Numbers: [112, 179]
Generated Node #3: [112, 179] from Operation: 86+93=179
Current State: 67:[112, 179], Operations: ['28*4=112', '86+93=179']
Exploring Operation: 179-112=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[28, 4, 86, 93], Operations: []
Exploring Operation: 86-4=82, Resulting Numbers: [28, 93, 82]
Generated Node #0,0: 67:[28, 93, 82] Operation: 86-4=82
Exploring Operation: 93-4=89, Resulting Numbers: [28, 86, 89]
Generated Node #0,1: 67:[28, 86, 89] Operation: 93-4=89
Exploring Operation: 28+4=32, Resulting Numbers: [86, 93, 32]
Generated Node #0,2: 67:[86, 93, 32] Operation: 28+4=32
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[28, 93, 82], Operations: ['86-4=82']
Exploring Operation: 82-28=54, Resulting Numbers: [93, 54]
Generated Node #0,0,0: 67:[93, 54] Operation: 82-28=54
Exploring Operation: 93-28=65, Resulting Numbers: [82, 65]
Generated Node #0,0,1: 67:[82, 65] Operation: 93-28=65
Exploring Operation: 28+93=121, Resulting Numbers: [82, 121]
Generated Node #0,0,2: 67:[82, 121] Operation: 28+93=121
Moving to Node #0,0,1
Current State: 67:[82, 65], Operations: ['86-4=82', '93-28=65']
Exploring Operation: 82*65=5330, Resulting Numbers: [5330]
5330,67 unequal: No Solution
Exploring Operation: 82-65=17, Resulting Numbers: [17]
17,67 unequal: No Solution
Exploring Operation: 82+65=147, Resulting Numbers: [147]
147,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[93, 54], Operations: ['86-4=82', '82-28=54']
Exploring Operation: 93+54=147, Resulting Numbers: [147]
147,67 unequal: No Solution
Exploring Operation: 93*54=5022, Resulting Numbers: [5022]
5022,67 unequal: No Solution
Exploring Operation: 93-54=39, Resulting Numbers: [39]
39,67 unequal: No Solution
Moving to Node #0,0,2
Current State: 67:[82, 121], Operations: ['86-4=82', '28+93=121']
Exploring Operation: 82+121=203, Resulting Numbers: [203]
203,67 unequal: No Solution
Exploring Operation: 82*121=9922, Resulting Numbers: [9922]
9922,67 unequal: No Solution
Exploring Operation: 121-82=39, Resulting Numbers: [39]
39,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[28, 86, 89], Operations: ['93-4=89']
Exploring Operation: 28+86=114, Resulting Numbers: [89, 114]
Generated Node #0,1,0: 67:[89, 114] Operation: 28+86=114
Exploring Operation: 89-28=61, Resulting Numbers: [86, 61]
Generated Node #0,1,1: 67:[86, 61] Operation: 89-28=61
Exploring Operation: 86-28=58, Resulting Numbers: [89, 58]
Generated Node #0,1,2: 67:[89, 58] Operation: 86-28=58
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 67:[86, 61], Operations: ['93-4=89', '89-28=61']
Exploring Operation: 86+61=147, Resulting Numbers: [147]
147,67 unequal: No Solution
Exploring Operation: 86-61=25, Resulting Numbers: [25]
25,67 unequal: No Solution
Exploring Operation: 86*61=5246, Resulting Numbers: [5246]
5246,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 67:[89, 58], Operations: ['93-4=89', '86-28=58']
Exploring Operation: 89+58=147, Resulting Numbers: [147]
147,67 unequal: No Solution
Exploring Operation: 89-58=31, Resulting Numbers: [31]
31,67 unequal: No Solution
Exploring Operation: 89*58=5162, Resulting Numbers: [5162]
5162,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 67:[89, 114], Operations: ['93-4=89', '28+86=114']
Exploring Operation: 89*114=10146, Resulting Numbers: [10146]
10146,67 unequal: No Solution
Exploring Operation: 89+114=203, Resulting Numbers: [203]
203,67 unequal: No Solution
Exploring Operation: 114-89=25, Resulting Numbers: [25]
25,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 67:[86, 93, 32], Operations: ['28+4=32']
Exploring Operation: 86-32=54, Resulting Numbers: [93, 54]
Generated Node #0,2,0: 67:[93, 54] Operation: 86-32=54
Exploring Operation: 93-32=61, Resulting Numbers: [86, 61]
Generated Node #0,2,1: 67:[86, 61] Operation: 93-32=61
Exploring Operation: 86+32=118, Resulting Numbers: [93, 118]
Generated Node #0,2,2: 67:[93, 118] Operation: 86+32=118
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 67:[86, 61], Operations: ['28+4=32', '93-32=61']
Exploring Operation: 86+61=147, Resulting Numbers: [147]
147,67 unequal: No Solution
Exploring Operation: 86-61=25, Resulting Numbers: [25]
25,67 unequal: No Solution
Exploring Operation: 86*61=5246, Resulting Numbers: [5246]
5246,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 67:[93, 54], Operations: ['28+4=32', '86-32=54']
Exploring Operation: 93*54=5022, Resulting Numbers: [5022]
5022,67 unequal: No Solution
Exploring Operation: 93+54=147, Resulting Numbers: [147]
147,67 unequal: No Solution
Exploring Operation: 93-54=39, Resulting Numbers: [39]
39,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 67:[93, 118], Operations: ['28+4=32', '86+32=118']
Exploring Operation: 118-93=25, Resulting Numbers: [25]
25,67 unequal: No Solution
Exploring Operation: 93*118=10974, Resulting Numbers: [10974]
10974,67 unequal: No Solution
Exploring Operation: 93+118=211, Resulting Numbers: [211]
211,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
87,
52,
85,
83
] | 70 | [
"87-52=35",
"85-83=2",
"35*2=70"
] | Current State: 70:[87, 52, 85, 83], Operations: []
Exploring Operation: 87-52=35, Resulting Numbers: [85, 83, 35]
Generated Node #2: [85, 83, 35] from Operation: 87-52=35
Current State: 70:[85, 83, 35], Operations: ['87-52=35']
Exploring Operation: 85-83=2, Resulting Numbers: [35, 2]
Generated Node #3: [35, 2] from Operation: 85-83=2
Current State: 70:[35, 2], Operations: ['87-52=35', '85-83=2']
Exploring Operation: 35*2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[87, 52, 85, 83], Operations: []
Exploring Operation: 87-52=35, Resulting Numbers: [85, 83, 35]
Generated Node #0,0: 70:[85, 83, 35] Operation: 87-52=35
Exploring Operation: 85-52=33, Resulting Numbers: [87, 83, 33]
Generated Node #0,1: 70:[87, 83, 33] Operation: 85-52=33
Exploring Operation: 87-83=4, Resulting Numbers: [52, 85, 4]
Generated Node #0,2: 70:[52, 85, 4] Operation: 87-83=4
Exploring Operation: 87-85=2, Resulting Numbers: [52, 83, 2]
Generated Node #0,3: 70:[52, 83, 2] Operation: 87-85=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[85, 83, 35], Operations: ['87-52=35']
Exploring Operation: 83-35=48, Resulting Numbers: [85, 48]
Generated Node #0,0,0: 70:[85, 48] Operation: 83-35=48
Exploring Operation: 85+35=120, Resulting Numbers: [83, 120]
Generated Node #0,0,1: 70:[83, 120] Operation: 85+35=120
Exploring Operation: 85-83=2, Resulting Numbers: [35, 2]
Generated Node #0,0,2: 70:[35, 2] Operation: 85-83=2
Exploring Operation: 85-35=50, Resulting Numbers: [83, 50]
Generated Node #0,0,3: 70:[83, 50] Operation: 85-35=50
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 70:[35, 2], Operations: ['87-52=35', '85-83=2']
Exploring Operation: 35*2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[87, 52, 85, 83], Operations: []
Exploring Operation: 87-52=35, Resulting Numbers: [85, 83, 35]
Generated Node #0,0: 70:[85, 83, 35] Operation: 87-52=35
Moving to Node #0,0
Current State: 70:[85, 83, 35], Operations: ['87-52=35']
Exploring Operation: 85-83=2, Resulting Numbers: [35, 2]
Generated Node #0,0,2: 70:[35, 2] Operation: 85-83=2
Moving to Node #0,0,2
Current State: 70:[35, 2], Operations: ['87-52=35', '85-83=2']
Exploring Operation: 35*2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
57,
48,
24,
61
] | 28 | [
"57-48=9",
"61-24=37",
"37-9=28"
] | Current State: 28:[57, 48, 24, 61], Operations: []
Exploring Operation: 57-48=9, Resulting Numbers: [24, 61, 9]
Generated Node #2: [24, 61, 9] from Operation: 57-48=9
Current State: 28:[24, 61, 9], Operations: ['57-48=9']
Exploring Operation: 61-24=37, Resulting Numbers: [9, 37]
Generated Node #3: [9, 37] from Operation: 61-24=37
Current State: 28:[9, 37], Operations: ['57-48=9', '61-24=37']
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[57, 48, 24, 61], Operations: []
Exploring Operation: 61-57=4, Resulting Numbers: [48, 24, 4]
Generated Node #0,0: 28:[48, 24, 4] Operation: 61-57=4
Exploring Operation: 57-48=9, Resulting Numbers: [24, 61, 9]
Generated Node #0,1: 28:[24, 61, 9] Operation: 57-48=9
Exploring Operation: 61-48=13, Resulting Numbers: [57, 24, 13]
Generated Node #0,2: 28:[57, 24, 13] Operation: 61-48=13
Moving to Node #0,0
Current State: 28:[48, 24, 4], Operations: ['61-57=4']
Exploring Operation: 48/4=12, Resulting Numbers: [24, 12]
Generated Node #0,0,0: 28:[24, 12] Operation: 48/4=12
Exploring Operation: 48-24=24, Resulting Numbers: [4, 24]
Generated Node #0,0,1: 28:[4, 24] Operation: 48-24=24
Exploring Operation: 48/24=2, Resulting Numbers: [4, 2]
Generated Node #0,0,2: 28:[4, 2] Operation: 48/24=2
Moving to Node #0,2
Current State: 28:[57, 24, 13], Operations: ['61-48=13']
Exploring Operation: 57-24=33, Resulting Numbers: [13, 33]
Generated Node #0,2,0: 28:[13, 33] Operation: 57-24=33
Exploring Operation: 24-13=11, Resulting Numbers: [57, 11]
Generated Node #0,2,1: 28:[57, 11] Operation: 24-13=11
Exploring Operation: 57-13=44, Resulting Numbers: [24, 44]
Generated Node #0,2,2: 28:[24, 44] Operation: 57-13=44
Moving to Node #0,1
Current State: 28:[24, 61, 9], Operations: ['57-48=9']
Exploring Operation: 24-9=15, Resulting Numbers: [61, 15]
Generated Node #0,1,0: 28:[61, 15] Operation: 24-9=15
Exploring Operation: 61-24=37, Resulting Numbers: [9, 37]
Generated Node #0,1,1: 28:[9, 37] Operation: 61-24=37
Exploring Operation: 61-9=52, Resulting Numbers: [24, 52]
Generated Node #0,1,2: 28:[24, 52] Operation: 61-9=52
Moving to Node #0,0,2
Current State: 28:[4, 2], Operations: ['61-57=4', '48/24=2']
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,28 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,28 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,28 unequal: No Solution
Moving to Node #0,0,1
Current State: 28:[4, 24], Operations: ['61-57=4', '48-24=24']
Exploring Operation: 4+24=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[57, 48, 24, 61], Operations: []
Exploring Operation: 61-57=4, Resulting Numbers: [48, 24, 4]
Generated Node #0,0: 28:[48, 24, 4] Operation: 61-57=4
Moving to Node #0,0
Current State: 28:[48, 24, 4], Operations: ['61-57=4']
Exploring Operation: 48-24=24, Resulting Numbers: [4, 24]
Generated Node #0,0,1: 28:[4, 24] Operation: 48-24=24
Moving to Node #0,0,1
Current State: 28:[4, 24], Operations: ['61-57=4', '48-24=24']
Exploring Operation: 4+24=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 0.982639 | hs_3 | sum_heuristic |
[
14,
17,
67,
40
] | 76 | [
"14+17=31",
"67+40=107",
"107-31=76"
] | Current State: 76:[14, 17, 67, 40], Operations: []
Exploring Operation: 14+17=31, Resulting Numbers: [67, 40, 31]
Generated Node #2: [67, 40, 31] from Operation: 14+17=31
Current State: 76:[67, 40, 31], Operations: ['14+17=31']
Exploring Operation: 67+40=107, Resulting Numbers: [31, 107]
Generated Node #3: [31, 107] from Operation: 67+40=107
Current State: 76:[31, 107], Operations: ['14+17=31', '67+40=107']
Exploring Operation: 107-31=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[14, 17, 67, 40], Operations: []
Exploring Operation: 17-14=3, Resulting Numbers: [67, 40, 3]
Generated Node #0,0: 76:[67, 40, 3] Operation: 17-14=3
Exploring Operation: 67-40=27, Resulting Numbers: [14, 17, 27]
Generated Node #0,1: 76:[14, 17, 27] Operation: 67-40=27
Exploring Operation: 17+67=84, Resulting Numbers: [14, 40, 84]
Generated Node #0,2: 76:[14, 40, 84] Operation: 17+67=84
Exploring Operation: 14+67=81, Resulting Numbers: [17, 40, 81]
Generated Node #0,3: 76:[17, 40, 81] Operation: 14+67=81
Start Sub Search at level 1: Moving to Node #0,3
Current State: 76:[17, 40, 81], Operations: ['14+67=81']
Exploring Operation: 81-17=64, Resulting Numbers: [40, 64]
Generated Node #0,3,0: 76:[40, 64] Operation: 81-17=64
Exploring Operation: 81-40=41, Resulting Numbers: [17, 41]
Generated Node #0,3,1: 76:[17, 41] Operation: 81-40=41
Exploring Operation: 17+40=57, Resulting Numbers: [81, 57]
Generated Node #0,3,2: 76:[81, 57] Operation: 17+40=57
Exploring Operation: 40-17=23, Resulting Numbers: [81, 23]
Generated Node #0,3,3: 76:[81, 23] Operation: 40-17=23
Moving to Node #0,3,1
Current State: 76:[17, 41], Operations: ['14+67=81', '81-40=41']
Exploring Operation: 41-17=24, Resulting Numbers: [24]
24,76 unequal: No Solution
Exploring Operation: 17+41=58, Resulting Numbers: [58]
58,76 unequal: No Solution
Exploring Operation: 17*41=697, Resulting Numbers: [697]
697,76 unequal: No Solution
Moving to Node #0,3,3
Current State: 76:[81, 23], Operations: ['14+67=81', '40-17=23']
Exploring Operation: 81+23=104, Resulting Numbers: [104]
104,76 unequal: No Solution
Exploring Operation: 81-23=58, Resulting Numbers: [58]
58,76 unequal: No Solution
Exploring Operation: 81*23=1863, Resulting Numbers: [1863]
1863,76 unequal: No Solution
Moving to Node #0,3,0
Current State: 76:[40, 64], Operations: ['14+67=81', '81-17=64']
Exploring Operation: 64-40=24, Resulting Numbers: [24]
24,76 unequal: No Solution
Exploring Operation: 40*64=2560, Resulting Numbers: [2560]
2560,76 unequal: No Solution
Exploring Operation: 40+64=104, Resulting Numbers: [104]
104,76 unequal: No Solution
Moving to Node #0,3,2
Current State: 76:[81, 57], Operations: ['14+67=81', '17+40=57']
Exploring Operation: 81-57=24, Resulting Numbers: [24]
24,76 unequal: No Solution
Exploring Operation: 81*57=4617, Resulting Numbers: [4617]
4617,76 unequal: No Solution
Exploring Operation: 81+57=138, Resulting Numbers: [138]
138,76 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:[67, 40, 3], Operations: ['17-14=3']
Exploring Operation: 67-40=27, Resulting Numbers: [3, 27]
Generated Node #0,0,0: 76:[3, 27] Operation: 67-40=27
Exploring Operation: 67+3=70, Resulting Numbers: [40, 70]
Generated Node #0,0,1: 76:[40, 70] Operation: 67+3=70
Exploring Operation: 40-3=37, Resulting Numbers: [67, 37]
Generated Node #0,0,2: 76:[67, 37] Operation: 40-3=37
Exploring Operation: 67-3=64, Resulting Numbers: [40, 64]
Generated Node #0,0,3: 76:[40, 64] Operation: 67-3=64
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 76:[40, 70], Operations: ['17-14=3', '67+3=70']
Exploring Operation: 70-40=30, Resulting Numbers: [30]
30,76 unequal: No Solution
Exploring Operation: 40*70=2800, Resulting Numbers: [2800]
2800,76 unequal: No Solution
Exploring Operation: 40+70=110, Resulting Numbers: [110]
110,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 76:[3, 27], Operations: ['17-14=3', '67-40=27']
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 3*27=81, Resulting Numbers: [81]
81,76 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,76 unequal: No Solution
Exploring Operation: 3+27=30, Resulting Numbers: [30]
30,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 76:[67, 37], Operations: ['17-14=3', '40-3=37']
Exploring Operation: 67-37=30, Resulting Numbers: [30]
30,76 unequal: No Solution
Exploring Operation: 67+37=104, Resulting Numbers: [104]
104,76 unequal: No Solution
Exploring Operation: 67*37=2479, Resulting Numbers: [2479]
2479,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 76:[40, 64], Operations: ['17-14=3', '67-3=64']
Exploring Operation: 64-40=24, Resulting Numbers: [24]
24,76 unequal: No Solution
Exploring Operation: 40*64=2560, Resulting Numbers: [2560]
2560,76 unequal: No Solution
Exploring Operation: 40+64=104, Resulting Numbers: [104]
104,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[14, 17, 27], Operations: ['67-40=27']
Exploring Operation: 17+27=44, Resulting Numbers: [14, 44]
Generated Node #0,1,0: 76:[14, 44] Operation: 17+27=44
Exploring Operation: 14+27=41, Resulting Numbers: [17, 41]
Generated Node #0,1,1: 76:[17, 41] Operation: 14+27=41
Exploring Operation: 27-14=13, Resulting Numbers: [17, 13]
Generated Node #0,1,2: 76:[17, 13] Operation: 27-14=13
Exploring Operation: 17-14=3, Resulting Numbers: [27, 3]
Generated Node #0,1,3: 76:[27, 3] Operation: 17-14=3
Moving to Node #0,1,1
Current State: 76:[17, 41], Operations: ['67-40=27', '14+27=41']
Exploring Operation: 17*41=697, Resulting Numbers: [697]
697,76 unequal: No Solution
Exploring Operation: 17+41=58, Resulting Numbers: [58]
58,76 unequal: No Solution
Exploring Operation: 41-17=24, Resulting Numbers: [24]
24,76 unequal: No Solution
Moving to Node #0,1,2
Current State: 76:[17, 13], Operations: ['67-40=27', '27-14=13']
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 17+13=30, Resulting Numbers: [30]
30,76 unequal: No Solution
Exploring Operation: 17*13=221, Resulting Numbers: [221]
221,76 unequal: No Solution
Moving to Node #0,1,3
Current State: 76:[27, 3], Operations: ['67-40=27', '17-14=3']
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,76 unequal: No Solution
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,76 unequal: No Solution
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,76 unequal: No Solution
Moving to Node #0,1,0
Current State: 76:[14, 44], Operations: ['67-40=27', '17+27=44']
Exploring Operation: 44-14=30, Resulting Numbers: [30]
30,76 unequal: No Solution
Exploring Operation: 14*44=616, Resulting Numbers: [616]
616,76 unequal: No Solution
Exploring Operation: 14+44=58, Resulting Numbers: [58]
58,76 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 #0,2
Current State: 76:[14, 40, 84], Operations: ['17+67=84']
Exploring Operation: 40-14=26, Resulting Numbers: [84, 26]
Generated Node #0,2,0: 76:[84, 26] Operation: 40-14=26
Exploring Operation: 84-14=70, Resulting Numbers: [40, 70]
Generated Node #0,2,1: 76:[40, 70] Operation: 84-14=70
Exploring Operation: 84/14=6, Resulting Numbers: [40, 6]
Generated Node #0,2,2: 76:[40, 6] Operation: 84/14=6
Exploring Operation: 84-40=44, Resulting Numbers: [14, 44]
Generated Node #0,2,3: 76:[14, 44] Operation: 84-40=44
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 76:[40, 6], Operations: ['17+67=84', '84/14=6']
Exploring Operation: 40*6=240, Resulting Numbers: [240]
240,76 unequal: No Solution
Exploring Operation: 40+6=46, Resulting Numbers: [46]
46,76 unequal: No Solution
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,76 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 #0,2,1
Current State: 76:[40, 70], Operations: ['17+67=84', '84-14=70']
Exploring Operation: 70-40=30, Resulting Numbers: [30]
30,76 unequal: No Solution
Exploring Operation: 40*70=2800, Resulting Numbers: [2800]
2800,76 unequal: No Solution
Exploring Operation: 40+70=110, Resulting Numbers: [110]
110,76 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 #0,2,3
Current State: 76:[14, 44], Operations: ['17+67=84', '84-40=44']
Exploring Operation: 14*44=616, Resulting Numbers: [616]
616,76 unequal: No Solution
Exploring Operation: 44-14=30, Resulting Numbers: [30]
30,76 unequal: No Solution
Exploring Operation: 14+44=58, Resulting Numbers: [58]
58,76 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 #0,2,0
Current State: 76:[84, 26], Operations: ['17+67=84', '40-14=26']
Exploring Operation: 84*26=2184, Resulting Numbers: [2184]
2184,76 unequal: No Solution
Exploring Operation: 84-26=58, Resulting Numbers: [58]
58,76 unequal: No Solution
Exploring Operation: 84+26=110, Resulting Numbers: [110]
110,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
49,
7,
79,
4
] | 51 | [
"49/7=7",
"4*7=28",
"79-28=51"
] | Current State: 51:[49, 7, 79, 4], Operations: []
Exploring Operation: 49/7=7, Resulting Numbers: [79, 4, 7]
Generated Node #2: [79, 4, 7] from Operation: 49/7=7
Current State: 51:[79, 4, 7], Operations: ['49/7=7']
Exploring Operation: 4*7=28, Resulting Numbers: [79, 28]
Generated Node #3: [79, 28] from Operation: 4*7=28
Current State: 51:[79, 28], Operations: ['49/7=7', '4*7=28']
Exploring Operation: 79-28=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[49, 7, 79, 4], Operations: []
Exploring Operation: 79-7=72, Resulting Numbers: [49, 4, 72]
Generated Node #0,0: 51:[49, 4, 72] Operation: 79-7=72
Exploring Operation: 79-49=30, Resulting Numbers: [7, 4, 30]
Generated Node #0,1: 51:[7, 4, 30] Operation: 79-49=30
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[7, 4, 30], Operations: ['79-49=30']
Exploring Operation: 7-4=3, Resulting Numbers: [30, 3]
Generated Node #0,1,0: 51:[30, 3] Operation: 7-4=3
Exploring Operation: 30-7=23, Resulting Numbers: [4, 23]
Generated Node #0,1,1: 51:[4, 23] Operation: 30-7=23
Moving to Node #0,1,1
Current State: 51:[4, 23], Operations: ['79-49=30', '30-7=23']
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,51 unequal: No Solution
Exploring Operation: 4+23=27, Resulting Numbers: [27]
27,51 unequal: No Solution
Moving to Node #0,1,0
Current State: 51:[30, 3], Operations: ['79-49=30', '7-4=3']
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,51 unequal: No Solution
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[49, 4, 72], Operations: ['79-7=72']
Exploring Operation: 72-49=23, Resulting Numbers: [4, 23]
Generated Node #0,0,0: 51:[4, 23] Operation: 72-49=23
Exploring Operation: 72/4=18, Resulting Numbers: [49, 18]
Generated Node #0,0,1: 51:[49, 18] Operation: 72/4=18
Moving to Node #0,0,1
Current State: 51:[49, 18], Operations: ['79-7=72', '72/4=18']
Exploring Operation: 49-18=31, Resulting Numbers: [31]
31,51 unequal: No Solution
Exploring Operation: 49+18=67, Resulting Numbers: [67]
67,51 unequal: No Solution
Moving to Node #0,0,0
Current State: 51:[4, 23], Operations: ['79-7=72', '72-49=23']
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,51 unequal: No Solution
Exploring Operation: 4+23=27, Resulting Numbers: [27]
27,51 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 |
[
45,
24,
97,
24
] | 52 | [
"45+24=69",
"97+24=121",
"121-69=52"
] | Current State: 52:[45, 24, 97, 24], Operations: []
Exploring Operation: 45+24=69, Resulting Numbers: [97, 69]
Generated Node #2: [97, 69] from Operation: 45+24=69
Current State: 52:[97, 69], Operations: ['45+24=69']
Exploring Operation: 97+24=121, Resulting Numbers: [69, 121]
Generated Node #3: [69, 121] from Operation: 97+24=121
Current State: 52:[69, 121], Operations: ['45+24=69', '97+24=121']
Exploring Operation: 121-69=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[45, 24, 97, 24], Operations: []
Exploring Operation: 97-24=73, Resulting Numbers: [45, 24, 73]
Generated Node #0,0: 52:[45, 24, 73] Operation: 97-24=73
Exploring Operation: 97-24=73, Resulting Numbers: [45, 24, 73]
Generated Node #0,1: 52:[45, 24, 73] Operation: 97-24=73
Exploring Operation: 97-45=52, Resulting Numbers: [24, 24, 52]
Generated Node #0,2: 52:[24, 24, 52] Operation: 97-45=52
Start Sub Search at level 1: Moving to Node #0,2
Current State: 52:[24, 24, 52], Operations: ['97-45=52']
Exploring Operation: 24+24=48, Resulting Numbers: [52, 48]
Generated Node #0,2,0: 52:[52, 48] Operation: 24+24=48
Exploring Operation: 24-24=0, Resulting Numbers: [52, 0]
Generated Node #0,2,1: 52:[52, 0] Operation: 24-24=0
Exploring Operation: 24/24=1, Resulting Numbers: [52, 1]
Generated Node #0,2,2: 52:[52, 1] Operation: 24/24=1
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 52:[52, 1], Operations: ['97-45=52', '24/24=1']
Exploring Operation: 52+1=53, Resulting Numbers: [53]
53,52 unequal: No Solution
Exploring Operation: 52*1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[45, 24, 97, 24], Operations: []
Exploring Operation: 97-45=52, Resulting Numbers: [24, 24, 52]
Generated Node #0,2: 52:[24, 24, 52] Operation: 97-45=52
Moving to Node #0,2
Current State: 52:[24, 24, 52], Operations: ['97-45=52']
Exploring Operation: 24/24=1, Resulting Numbers: [52, 1]
Generated Node #0,2,2: 52:[52, 1] Operation: 24/24=1
Moving to Node #0,2,2
Current State: 52:[52, 1], Operations: ['97-45=52', '24/24=1']
Exploring Operation: 52*1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
29,
56,
58,
12
] | 70 | [
"58/29=2",
"56+12=68",
"2+68=70"
] | Current State: 70:[29, 56, 58, 12], Operations: []
Exploring Operation: 58/29=2, Resulting Numbers: [56, 12, 2]
Generated Node #2: [56, 12, 2] from Operation: 58/29=2
Current State: 70:[56, 12, 2], Operations: ['58/29=2']
Exploring Operation: 56+12=68, Resulting Numbers: [2, 68]
Generated Node #3: [2, 68] from Operation: 56+12=68
Current State: 70:[2, 68], Operations: ['58/29=2', '56+12=68']
Exploring Operation: 2+68=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[29, 56, 58, 12], Operations: []
Exploring Operation: 58/29=2, Resulting Numbers: [56, 12, 2]
Generated Node #0,0: 70:[56, 12, 2] Operation: 58/29=2
Exploring Operation: 58-56=2, Resulting Numbers: [29, 12, 2]
Generated Node #0,1: 70:[29, 12, 2] Operation: 58-56=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 70:[29, 12, 2], Operations: ['58-56=2']
Exploring Operation: 29+12=41, Resulting Numbers: [2, 41]
Generated Node #0,1,0: 70:[2, 41] Operation: 29+12=41
Exploring Operation: 29-12=17, Resulting Numbers: [2, 17]
Generated Node #0,1,1: 70:[2, 17] Operation: 29-12=17
Moving to Node #0,1,1
Current State: 70:[2, 17], Operations: ['58-56=2', '29-12=17']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,70 unequal: No Solution
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,70 unequal: No Solution
Moving to Node #0,1,0
Current State: 70:[2, 41], Operations: ['58-56=2', '29+12=41']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,70 unequal: No Solution
Exploring Operation: 2+41=43, Resulting Numbers: [43]
43,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[56, 12, 2], Operations: ['58/29=2']
Exploring Operation: 56-12=44, Resulting Numbers: [2, 44]
Generated Node #0,0,0: 70:[2, 44] Operation: 56-12=44
Exploring Operation: 56+12=68, Resulting Numbers: [2, 68]
Generated Node #0,0,1: 70:[2, 68] Operation: 56+12=68
Moving to Node #0,0,1
Current State: 70:[2, 68], Operations: ['58/29=2', '56+12=68']
Exploring Operation: 2+68=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[29, 56, 58, 12], Operations: []
Exploring Operation: 58/29=2, Resulting Numbers: [56, 12, 2]
Generated Node #0,0: 70:[56, 12, 2] Operation: 58/29=2
Moving to Node #0,0
Current State: 70:[56, 12, 2], Operations: ['58/29=2']
Exploring Operation: 56+12=68, Resulting Numbers: [2, 68]
Generated Node #0,0,1: 70:[2, 68] Operation: 56+12=68
Moving to Node #0,0,1
Current State: 70:[2, 68], Operations: ['58/29=2', '56+12=68']
Exploring Operation: 2+68=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
87,
13,
31,
29
] | 98 | [
"87+13=100",
"31-29=2",
"100-2=98"
] | Current State: 98:[87, 13, 31, 29], Operations: []
Exploring Operation: 87+13=100, Resulting Numbers: [31, 29, 100]
Generated Node #2: [31, 29, 100] from Operation: 87+13=100
Current State: 98:[31, 29, 100], Operations: ['87+13=100']
Exploring Operation: 31-29=2, Resulting Numbers: [100, 2]
Generated Node #3: [100, 2] from Operation: 31-29=2
Current State: 98:[100, 2], Operations: ['87+13=100', '31-29=2']
Exploring Operation: 100-2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[87, 13, 31, 29], Operations: []
Exploring Operation: 87-31=56, Resulting Numbers: [13, 29, 56]
Generated Node #0,0: 98:[13, 29, 56] Operation: 87-31=56
Exploring Operation: 87/29=3, Resulting Numbers: [13, 31, 3]
Generated Node #0,1: 98:[13, 31, 3] Operation: 87/29=3
Exploring Operation: 31-29=2, Resulting Numbers: [87, 13, 2]
Generated Node #0,2: 98:[87, 13, 2] Operation: 31-29=2
Start Sub Search at level 1: Moving to Node #0,2
Current State: 98:[87, 13, 2], Operations: ['31-29=2']
Exploring Operation: 13+2=15, Resulting Numbers: [87, 15]
Generated Node #0,2,0: 98:[87, 15] Operation: 13+2=15
Exploring Operation: 87+2=89, Resulting Numbers: [13, 89]
Generated Node #0,2,1: 98:[13, 89] Operation: 87+2=89
Exploring Operation: 87+13=100, Resulting Numbers: [2, 100]
Generated Node #0,2,2: 98:[2, 100] Operation: 87+13=100
Moving to Node #0,2,2
Current State: 98:[2, 100], Operations: ['31-29=2', '87+13=100']
Exploring Operation: 100/2=50, Resulting Numbers: [50]
50,98 unequal: No Solution
Exploring Operation: 2+100=102, Resulting Numbers: [102]
102,98 unequal: No Solution
Exploring Operation: 100-2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[87, 13, 31, 29], Operations: []
Exploring Operation: 31-29=2, Resulting Numbers: [87, 13, 2]
Generated Node #0,2: 98:[87, 13, 2] Operation: 31-29=2
Moving to Node #0,2
Current State: 98:[87, 13, 2], Operations: ['31-29=2']
Exploring Operation: 87+13=100, Resulting Numbers: [2, 100]
Generated Node #0,2,2: 98:[2, 100] Operation: 87+13=100
Moving to Node #0,2,2
Current State: 98:[2, 100], Operations: ['31-29=2', '87+13=100']
Exploring Operation: 100-2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
12,
79,
76,
11
] | 99 | [
"79-12=67",
"76-67=9",
"11*9=99"
] | Current State: 99:[12, 79, 76, 11], Operations: []
Exploring Operation: 79-12=67, Resulting Numbers: [76, 11, 67]
Generated Node #2: [76, 11, 67] from Operation: 79-12=67
Current State: 99:[76, 11, 67], Operations: ['79-12=67']
Exploring Operation: 76-67=9, Resulting Numbers: [11, 9]
Generated Node #3: [11, 9] from Operation: 76-67=9
Current State: 99:[11, 9], Operations: ['79-12=67', '76-67=9']
Exploring Operation: 11*9=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[12, 79, 76, 11], Operations: []
Exploring Operation: 12+76=88, Resulting Numbers: [79, 11, 88]
Generated Node #0,0: 99:[79, 11, 88] Operation: 12+76=88
Exploring Operation: 79+11=90, Resulting Numbers: [12, 76, 90]
Generated Node #0,1: 99:[12, 76, 90] Operation: 79+11=90
Exploring Operation: 12+79=91, Resulting Numbers: [76, 11, 91]
Generated Node #0,2: 99:[76, 11, 91] Operation: 12+79=91
Exploring Operation: 79-76=3, Resulting Numbers: [12, 11, 3]
Generated Node #0,3: 99:[12, 11, 3] Operation: 79-76=3
Exploring Operation: 76+11=87, Resulting Numbers: [12, 79, 87]
Generated Node #0,4: 99:[12, 79, 87] Operation: 76+11=87
Start Sub Search at level 1: Moving to Node #0,3
Current State: 99:[12, 11, 3], Operations: ['79-76=3']
Exploring Operation: 12-3=9, Resulting Numbers: [11, 9]
Generated Node #0,3,0: 99:[11, 9] Operation: 12-3=9
Exploring Operation: 11-3=8, Resulting Numbers: [12, 8]
Generated Node #0,3,1: 99:[12, 8] Operation: 11-3=8
Exploring Operation: 12-11=1, Resulting Numbers: [3, 1]
Generated Node #0,3,2: 99:[3, 1] Operation: 12-11=1
Exploring Operation: 11*3=33, Resulting Numbers: [12, 33]
Generated Node #0,3,3: 99:[12, 33] Operation: 11*3=33
Exploring Operation: 12/3=4, Resulting Numbers: [11, 4]
Generated Node #0,3,4: 99:[11, 4] Operation: 12/3=4
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 99:[11, 9], Operations: ['79-76=3', '12-3=9']
Exploring Operation: 11+9=20, Resulting Numbers: [20]
20,99 unequal: No Solution
Exploring Operation: 11-9=2, Resulting Numbers: [2]
2,99 unequal: No Solution
Exploring Operation: 11*9=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[12, 79, 76, 11], Operations: []
Exploring Operation: 79-76=3, Resulting Numbers: [12, 11, 3]
Generated Node #0,3: 99:[12, 11, 3] Operation: 79-76=3
Moving to Node #0,3
Current State: 99:[12, 11, 3], Operations: ['79-76=3']
Exploring Operation: 12-3=9, Resulting Numbers: [11, 9]
Generated Node #0,3,0: 99:[11, 9] Operation: 12-3=9
Moving to Node #0,3,0
Current State: 99:[11, 9], Operations: ['79-76=3', '12-3=9']
Exploring Operation: 11*9=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
52,
84,
59,
99
] | 36 | [
"52*99=5148",
"84+59=143",
"5148/143=36"
] | Current State: 36:[52, 84, 59, 99], Operations: []
Exploring Operation: 52*99=5148, Resulting Numbers: [84, 59, 5148]
Generated Node #2: [84, 59, 5148] from Operation: 52*99=5148
Current State: 36:[84, 59, 5148], Operations: ['52*99=5148']
Exploring Operation: 84+59=143, Resulting Numbers: [5148, 143]
Generated Node #3: [5148, 143] from Operation: 84+59=143
Current State: 36:[5148, 143], Operations: ['52*99=5148', '84+59=143']
Exploring Operation: 5148/143=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[52, 84, 59, 99], Operations: []
Exploring Operation: 84-52=32, Resulting Numbers: [59, 99, 32]
Generated Node #0,0: 36:[59, 99, 32] Operation: 84-52=32
Exploring Operation: 99-84=15, Resulting Numbers: [52, 59, 15]
Generated Node #0,1: 36:[52, 59, 15] Operation: 99-84=15
Exploring Operation: 99-52=47, Resulting Numbers: [84, 59, 47]
Generated Node #0,2: 36:[84, 59, 47] Operation: 99-52=47
Exploring Operation: 99-59=40, Resulting Numbers: [52, 84, 40]
Generated Node #0,3: 36:[52, 84, 40] Operation: 99-59=40
Exploring Operation: 84-59=25, Resulting Numbers: [52, 99, 25]
Generated Node #0,4: 36:[52, 99, 25] Operation: 84-59=25
Moving to Node #0,1
Current State: 36:[52, 59, 15], Operations: ['99-84=15']
Exploring Operation: 59-15=44, Resulting Numbers: [52, 44]
Generated Node #0,1,0: 36:[52, 44] Operation: 59-15=44
Exploring Operation: 52+15=67, Resulting Numbers: [59, 67]
Generated Node #0,1,1: 36:[59, 67] Operation: 52+15=67
Exploring Operation: 59+15=74, Resulting Numbers: [52, 74]
Generated Node #0,1,2: 36:[52, 74] Operation: 59+15=74
Exploring Operation: 52-15=37, Resulting Numbers: [59, 37]
Generated Node #0,1,3: 36:[59, 37] Operation: 52-15=37
Exploring Operation: 59-52=7, Resulting Numbers: [15, 7]
Generated Node #0,1,4: 36:[15, 7] Operation: 59-52=7
Moving to Node #0,3
Current State: 36:[52, 84, 40], Operations: ['99-59=40']
Exploring Operation: 84-52=32, Resulting Numbers: [40, 32]
Generated Node #0,3,0: 36:[40, 32] Operation: 84-52=32
Exploring Operation: 52+84=136, Resulting Numbers: [40, 136]
Generated Node #0,3,1: 36:[40, 136] Operation: 52+84=136
Exploring Operation: 52-40=12, Resulting Numbers: [84, 12]
Generated Node #0,3,2: 36:[84, 12] Operation: 52-40=12
Exploring Operation: 52+40=92, Resulting Numbers: [84, 92]
Generated Node #0,3,3: 36:[84, 92] Operation: 52+40=92
Exploring Operation: 84-40=44, Resulting Numbers: [52, 44]
Generated Node #0,3,4: 36:[52, 44] Operation: 84-40=44
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 36:[40, 32], Operations: ['99-59=40', '84-52=32']
Exploring Operation: 40-32=8, Resulting Numbers: [8]
8,36 unequal: No Solution
Exploring Operation: 40*32=1280, Resulting Numbers: [1280]
1280,36 unequal: No Solution
Exploring Operation: 40+32=72, Resulting Numbers: [72]
72,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 36:[52, 44], Operations: ['99-59=40', '84-40=44']
Exploring Operation: 52-44=8, Resulting Numbers: [8]
8,36 unequal: No Solution
Exploring Operation: 52*44=2288, Resulting Numbers: [2288]
2288,36 unequal: No Solution
Exploring Operation: 52+44=96, Resulting Numbers: [96]
96,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 36:[84, 12], Operations: ['99-59=40', '52-40=12']
Exploring Operation: 84-12=72, Resulting Numbers: [72]
72,36 unequal: No Solution
Exploring Operation: 84+12=96, Resulting Numbers: [96]
96,36 unequal: No Solution
Exploring Operation: 84/12=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Exploring Operation: 84*12=1008, Resulting Numbers: [1008]
1008,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 36:[40, 136], Operations: ['99-59=40', '52+84=136']
Exploring Operation: 136-40=96, Resulting Numbers: [96]
96,36 unequal: No Solution
Exploring Operation: 40*136=5440, Resulting Numbers: [5440]
5440,36 unequal: No Solution
Exploring Operation: 40+136=176, Resulting Numbers: [176]
176,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 36:[84, 92], Operations: ['99-59=40', '52+40=92']
Exploring Operation: 84+92=176, Resulting Numbers: [176]
176,36 unequal: No Solution
Exploring Operation: 84*92=7728, Resulting Numbers: [7728]
7728,36 unequal: No Solution
Exploring Operation: 92-84=8, Resulting Numbers: [8]
8,36 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: 36:[84, 59, 47], Operations: ['99-52=47']
Exploring Operation: 84-59=25, Resulting Numbers: [47, 25]
Generated Node #0,2,0: 36:[47, 25] Operation: 84-59=25
Exploring Operation: 84-47=37, Resulting Numbers: [59, 37]
Generated Node #0,2,1: 36:[59, 37] Operation: 84-47=37
Exploring Operation: 84+59=143, Resulting Numbers: [47, 143]
Generated Node #0,2,2: 36:[47, 143] Operation: 84+59=143
Exploring Operation: 59-47=12, Resulting Numbers: [84, 12]
Generated Node #0,2,3: 36:[84, 12] Operation: 59-47=12
Exploring Operation: 84+47=131, Resulting Numbers: [59, 131]
Generated Node #0,2,4: 36:[59, 131] Operation: 84+47=131
Moving to Node #0,4
Current State: 36:[52, 99, 25], Operations: ['84-59=25']
Exploring Operation: 99-52=47, Resulting Numbers: [25, 47]
Generated Node #0,4,0: 36:[25, 47] Operation: 99-52=47
Exploring Operation: 52-25=27, Resulting Numbers: [99, 27]
Generated Node #0,4,1: 36:[99, 27] Operation: 52-25=27
Exploring Operation: 99+25=124, Resulting Numbers: [52, 124]
Generated Node #0,4,2: 36:[52, 124] Operation: 99+25=124
Exploring Operation: 52+25=77, Resulting Numbers: [99, 77]
Generated Node #0,4,3: 36:[99, 77] Operation: 52+25=77
Exploring Operation: 99-25=74, Resulting Numbers: [52, 74]
Generated Node #0,4,4: 36:[52, 74] Operation: 99-25=74
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 36:[25, 47], Operations: ['84-59=25', '99-52=47']
Exploring Operation: 25+47=72, Resulting Numbers: [72]
72,36 unequal: No Solution
Exploring Operation: 25*47=1175, Resulting Numbers: [1175]
1175,36 unequal: No Solution
Exploring Operation: 47-25=22, Resulting Numbers: [22]
22,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 36:[52, 74], Operations: ['84-59=25', '99-25=74']
Exploring Operation: 52+74=126, Resulting Numbers: [126]
126,36 unequal: No Solution
Exploring Operation: 74-52=22, Resulting Numbers: [22]
22,36 unequal: No Solution
Exploring Operation: 52*74=3848, Resulting Numbers: [3848]
3848,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 36:[99, 27], Operations: ['84-59=25', '52-25=27']
Exploring Operation: 99*27=2673, Resulting Numbers: [2673]
2673,36 unequal: No Solution
Exploring Operation: 99+27=126, Resulting Numbers: [126]
126,36 unequal: No Solution
Exploring Operation: 99-27=72, Resulting Numbers: [72]
72,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 36:[52, 124], Operations: ['84-59=25', '99+25=124']
Exploring Operation: 52+124=176, Resulting Numbers: [176]
176,36 unequal: No Solution
Exploring Operation: 124-52=72, Resulting Numbers: [72]
72,36 unequal: No Solution
Exploring Operation: 52*124=6448, Resulting Numbers: [6448]
6448,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 36:[99, 77], Operations: ['84-59=25', '52+25=77']
Exploring Operation: 99+77=176, Resulting Numbers: [176]
176,36 unequal: No Solution
Exploring Operation: 99-77=22, Resulting Numbers: [22]
22,36 unequal: No Solution
Exploring Operation: 99*77=7623, Resulting Numbers: [7623]
7623,36 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: 36:[59, 99, 32], Operations: ['84-52=32']
Exploring Operation: 99+32=131, Resulting Numbers: [59, 131]
Generated Node #0,0,0: 36:[59, 131] Operation: 99+32=131
Exploring Operation: 59+32=91, Resulting Numbers: [99, 91]
Generated Node #0,0,1: 36:[99, 91] Operation: 59+32=91
Exploring Operation: 99-32=67, Resulting Numbers: [59, 67]
Generated Node #0,0,2: 36:[59, 67] Operation: 99-32=67
Exploring Operation: 59-32=27, Resulting Numbers: [99, 27]
Generated Node #0,0,3: 36:[99, 27] Operation: 59-32=27
Exploring Operation: 99-59=40, Resulting Numbers: [32, 40]
Generated Node #0,0,4: 36:[32, 40] Operation: 99-59=40
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 36:[32, 40], Operations: ['84-52=32', '99-59=40']
Exploring Operation: 40-32=8, Resulting Numbers: [8]
8,36 unequal: No Solution
Exploring Operation: 32*40=1280, Resulting Numbers: [1280]
1280,36 unequal: No Solution
Exploring Operation: 32+40=72, Resulting Numbers: [72]
72,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 36:[59, 67], Operations: ['84-52=32', '99-32=67']
Exploring Operation: 67-59=8, Resulting Numbers: [8]
8,36 unequal: No Solution
Exploring Operation: 59+67=126, Resulting Numbers: [126]
126,36 unequal: No Solution
Exploring Operation: 59*67=3953, Resulting Numbers: [3953]
3953,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 36:[99, 27], Operations: ['84-52=32', '59-32=27']
Exploring Operation: 99*27=2673, Resulting Numbers: [2673]
2673,36 unequal: No Solution
Exploring Operation: 99+27=126, Resulting Numbers: [126]
126,36 unequal: No Solution
Exploring Operation: 99-27=72, Resulting Numbers: [72]
72,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 36:[59, 131], Operations: ['84-52=32', '99+32=131']
Exploring Operation: 59*131=7729, Resulting Numbers: [7729]
7729,36 unequal: No Solution
Exploring Operation: 131-59=72, Resulting Numbers: [72]
72,36 unequal: No Solution
Exploring Operation: 59+131=190, Resulting Numbers: [190]
190,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 36:[99, 91], Operations: ['84-52=32', '59+32=91']
Exploring Operation: 99*91=9009, Resulting Numbers: [9009]
9009,36 unequal: No Solution
Exploring Operation: 99-91=8, Resulting Numbers: [8]
8,36 unequal: No Solution
Exploring Operation: 99+91=190, Resulting Numbers: [190]
190,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,4
Current State: 36:[15, 7], Operations: ['99-84=15', '59-52=7']
Exploring Operation: 15+7=22, Resulting Numbers: [22]
22,36 unequal: No Solution
Exploring Operation: 15*7=105, Resulting Numbers: [105]
105,36 unequal: No Solution
Exploring Operation: 15-7=8, Resulting Numbers: [8]
8,36 unequal: No Solution
Moving to Node #0,2,0
Current State: 36:[47, 25], Operations: ['99-52=47', '84-59=25']
Exploring Operation: 47-25=22, Resulting Numbers: [22]
22,36 unequal: No Solution
Exploring Operation: 47*25=1175, Resulting Numbers: [1175]
1175,36 unequal: No Solution
Exploring Operation: 47+25=72, Resulting Numbers: [72]
72,36 unequal: No Solution
Moving to Node #0,2,1
Current State: 36:[59, 37], Operations: ['99-52=47', '84-47=37']
Exploring Operation: 59*37=2183, Resulting Numbers: [2183]
2183,36 unequal: No Solution
Exploring Operation: 59-37=22, Resulting Numbers: [22]
22,36 unequal: No Solution
Exploring Operation: 59+37=96, Resulting Numbers: [96]
96,36 unequal: No Solution
Moving to Node #0,1,3
Current State: 36:[59, 37], Operations: ['99-84=15', '52-15=37']
Exploring Operation: 59+37=96, Resulting Numbers: [96]
96,36 unequal: No Solution
Exploring Operation: 59-37=22, Resulting Numbers: [22]
22,36 unequal: No Solution
Exploring Operation: 59*37=2183, Resulting Numbers: [2183]
2183,36 unequal: No Solution
Moving to Node #0,1,0
Current State: 36:[52, 44], Operations: ['99-84=15', '59-15=44']
Exploring Operation: 52+44=96, Resulting Numbers: [96]
96,36 unequal: No Solution
Exploring Operation: 52*44=2288, Resulting Numbers: [2288]
2288,36 unequal: No Solution
Exploring Operation: 52-44=8, Resulting Numbers: [8]
8,36 unequal: No Solution
Moving to Node #0,2,3
Current State: 36:[84, 12], Operations: ['99-52=47', '59-47=12']
Exploring Operation: 84-12=72, Resulting Numbers: [72]
72,36 unequal: No Solution
Exploring Operation: 84/12=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Exploring Operation: 84+12=96, Resulting Numbers: [96]
96,36 unequal: No Solution
Exploring Operation: 84*12=1008, Resulting Numbers: [1008]
1008,36 unequal: No Solution
Moving to Node #0,1,1
Current State: 36:[59, 67], Operations: ['99-84=15', '52+15=67']
Exploring Operation: 59+67=126, Resulting Numbers: [126]
126,36 unequal: No Solution
Exploring Operation: 59*67=3953, Resulting Numbers: [3953]
3953,36 unequal: No Solution
Exploring Operation: 67-59=8, Resulting Numbers: [8]
8,36 unequal: No Solution
Moving to Node #0,1,2
Current State: 36:[52, 74], Operations: ['99-84=15', '59+15=74']
Exploring Operation: 52+74=126, Resulting Numbers: [126]
126,36 unequal: No Solution
Exploring Operation: 52*74=3848, Resulting Numbers: [3848]
3848,36 unequal: No Solution
Exploring Operation: 74-52=22, Resulting Numbers: [22]
22,36 unequal: No Solution
Moving to Node #0,2,4
Current State: 36:[59, 131], Operations: ['99-52=47', '84+47=131']
Exploring Operation: 131-59=72, Resulting Numbers: [72]
72,36 unequal: No Solution
Exploring Operation: 59*131=7729, Resulting Numbers: [7729]
7729,36 unequal: No Solution
Exploring Operation: 59+131=190, Resulting Numbers: [190]
190,36 unequal: No Solution
Moving to Node #0,2,2
Current State: 36:[47, 143], Operations: ['99-52=47', '84+59=143']
Exploring Operation: 47*143=6721, Resulting Numbers: [6721]
6721,36 unequal: No Solution
Exploring Operation: 143-47=96, Resulting Numbers: [96]
96,36 unequal: No Solution
Exploring Operation: 47+143=190, Resulting Numbers: [190]
190,36 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
37,
8,
36,
20
] | 28 | [
"37-36=1",
"8+20=28",
"1*28=28"
] | Current State: 28:[37, 8, 36, 20], Operations: []
Exploring Operation: 37-36=1, Resulting Numbers: [8, 20, 1]
Generated Node #2: [8, 20, 1] from Operation: 37-36=1
Current State: 28:[8, 20, 1], Operations: ['37-36=1']
Exploring Operation: 8+20=28, Resulting Numbers: [1, 28]
Generated Node #3: [1, 28] from Operation: 8+20=28
Current State: 28:[1, 28], Operations: ['37-36=1', '8+20=28']
Exploring Operation: 1*28=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[37, 8, 36, 20], Operations: []
Exploring Operation: 36-8=28, Resulting Numbers: [37, 20, 28]
Generated Node #0,0: 28:[37, 20, 28] Operation: 36-8=28
Exploring Operation: 37-20=17, Resulting Numbers: [8, 36, 17]
Generated Node #0,1: 28:[8, 36, 17] Operation: 37-20=17
Exploring Operation: 37-8=29, Resulting Numbers: [36, 20, 29]
Generated Node #0,2: 28:[36, 20, 29] Operation: 37-8=29
Exploring Operation: 37-36=1, Resulting Numbers: [8, 20, 1]
Generated Node #0,3: 28:[8, 20, 1] Operation: 37-36=1
Exploring Operation: 36-20=16, Resulting Numbers: [37, 8, 16]
Generated Node #0,4: 28:[37, 8, 16] Operation: 36-20=16
Start Sub Search at level 1: Moving to Node #0,3
Current State: 28:[8, 20, 1], Operations: ['37-36=1']
Exploring Operation: 8-1=7, Resulting Numbers: [20, 7]
Generated Node #0,3,0: 28:[20, 7] Operation: 8-1=7
Exploring Operation: 8*1=8, Resulting Numbers: [20, 8]
Generated Node #0,3,1: 28:[20, 8] Operation: 8*1=8
Exploring Operation: 20-1=19, Resulting Numbers: [8, 19]
Generated Node #0,3,2: 28:[8, 19] Operation: 20-1=19
Exploring Operation: 20-8=12, Resulting Numbers: [1, 12]
Generated Node #0,3,3: 28:[1, 12] Operation: 20-8=12
Exploring Operation: 8+20=28, Resulting Numbers: [1, 28]
Generated Node #0,3,4: 28:[1, 28] Operation: 8+20=28
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 28:[1, 28], Operations: ['37-36=1', '8+20=28']
Exploring Operation: 28-1=27, Resulting Numbers: [27]
27,28 unequal: No Solution
Exploring Operation: 1+28=29, Resulting Numbers: [29]
29,28 unequal: No Solution
Exploring Operation: 28/1=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[37, 8, 36, 20], Operations: []
Exploring Operation: 37-36=1, Resulting Numbers: [8, 20, 1]
Generated Node #0,3: 28:[8, 20, 1] Operation: 37-36=1
Moving to Node #0,3
Current State: 28:[8, 20, 1], Operations: ['37-36=1']
Exploring Operation: 8+20=28, Resulting Numbers: [1, 28]
Generated Node #0,3,4: 28:[1, 28] Operation: 8+20=28
Moving to Node #0,3,4
Current State: 28:[1, 28], Operations: ['37-36=1', '8+20=28']
Exploring Operation: 28/1=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
8,
20,
18,
26
] | 22 | [
"20-18=2",
"8/2=4",
"26-4=22"
] | Current State: 22:[8, 20, 18, 26], Operations: []
Exploring Operation: 20-18=2, Resulting Numbers: [8, 26, 2]
Generated Node #2: [8, 26, 2] from Operation: 20-18=2
Current State: 22:[8, 26, 2], Operations: ['20-18=2']
Exploring Operation: 8/2=4, Resulting Numbers: [26, 4]
Generated Node #3: [26, 4] from Operation: 8/2=4
Current State: 22:[26, 4], Operations: ['20-18=2', '8/2=4']
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[8, 20, 18, 26], Operations: []
Exploring Operation: 20-8=12, Resulting Numbers: [18, 26, 12]
Generated Node #0,0: 22:[18, 26, 12] Operation: 20-8=12
Exploring Operation: 26-18=8, Resulting Numbers: [8, 20, 8]
Generated Node #0,1: 22:[8, 20, 8] Operation: 26-18=8
Exploring Operation: 8+18=26, Resulting Numbers: [20, 26, 26]
Generated Node #0,2: 22:[20, 26, 26] Operation: 8+18=26
Exploring Operation: 20-18=2, Resulting Numbers: [8, 26, 2]
Generated Node #0,3: 22:[8, 26, 2] Operation: 20-18=2
Exploring Operation: 18-8=10, Resulting Numbers: [20, 26, 10]
Generated Node #0,4: 22:[20, 26, 10] Operation: 18-8=10
Moving to Node #0,3
Current State: 22:[8, 26, 2], Operations: ['20-18=2']
Exploring Operation: 8/2=4, Resulting Numbers: [26, 4]
Generated Node #0,3,0: 22:[26, 4] Operation: 8/2=4
Exploring Operation: 26-8=18, Resulting Numbers: [2, 18]
Generated Node #0,3,1: 22:[2, 18] Operation: 26-8=18
Exploring Operation: 8+2=10, Resulting Numbers: [26, 10]
Generated Node #0,3,2: 22:[26, 10] Operation: 8+2=10
Exploring Operation: 26/2=13, Resulting Numbers: [8, 13]
Generated Node #0,3,3: 22:[8, 13] Operation: 26/2=13
Exploring Operation: 26-2=24, Resulting Numbers: [8, 24]
Generated Node #0,3,4: 22:[8, 24] Operation: 26-2=24
Moving to Node #0,4
Current State: 22:[20, 26, 10], Operations: ['18-8=10']
Exploring Operation: 20-10=10, Resulting Numbers: [26, 10]
Generated Node #0,4,0: 22:[26, 10] Operation: 20-10=10
Exploring Operation: 20/10=2, Resulting Numbers: [26, 2]
Generated Node #0,4,1: 22:[26, 2] Operation: 20/10=2
Exploring Operation: 20+10=30, Resulting Numbers: [26, 30]
Generated Node #0,4,2: 22:[26, 30] Operation: 20+10=30
Exploring Operation: 26-10=16, Resulting Numbers: [20, 16]
Generated Node #0,4,3: 22:[20, 16] Operation: 26-10=16
Exploring Operation: 26-20=6, Resulting Numbers: [10, 6]
Generated Node #0,4,4: 22:[10, 6] Operation: 26-20=6
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 22:[26, 2], Operations: ['18-8=10', '20/10=2']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,22 unequal: No Solution
Exploring Operation: 26+2=28, Resulting Numbers: [28]
28,22 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,22 unequal: No Solution
Exploring Operation: 26*2=52, Resulting Numbers: [52]
52,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 22:[26, 10], Operations: ['18-8=10', '20-10=10']
Exploring Operation: 26+10=36, Resulting Numbers: [36]
36,22 unequal: No Solution
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,22 unequal: No Solution
Exploring Operation: 26*10=260, Resulting Numbers: [260]
260,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 22:[10, 6], Operations: ['18-8=10', '26-20=6']
Exploring Operation: 10+6=16, Resulting Numbers: [16]
16,22 unequal: No Solution
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,22 unequal: No Solution
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 22:[20, 16], Operations: ['18-8=10', '26-10=16']
Exploring Operation: 20+16=36, Resulting Numbers: [36]
36,22 unequal: No Solution
Exploring Operation: 20-16=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Exploring Operation: 20*16=320, Resulting Numbers: [320]
320,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 22:[26, 30], Operations: ['18-8=10', '20+10=30']
Exploring Operation: 26*30=780, Resulting Numbers: [780]
780,22 unequal: No Solution
Exploring Operation: 26+30=56, Resulting Numbers: [56]
56,22 unequal: No Solution
Exploring Operation: 30-26=4, Resulting Numbers: [4]
4,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 22:[8, 20, 8], Operations: ['26-18=8']
Exploring Operation: 20-8=12, Resulting Numbers: [8, 12]
Generated Node #0,1,0: 22:[8, 12] Operation: 20-8=12
Exploring Operation: 20-8=12, Resulting Numbers: [8, 12]
Generated Node #0,1,1: 22:[8, 12] Operation: 20-8=12
Exploring Operation: 8/8=1, Resulting Numbers: [20, 1]
Generated Node #0,1,2: 22:[20, 1] Operation: 8/8=1
Exploring Operation: 8-8=0, Resulting Numbers: [20, 0]
Generated Node #0,1,3: 22:[20, 0] Operation: 8-8=0
Exploring Operation: 8+8=16, Resulting Numbers: [20, 16]
Generated Node #0,1,4: 22:[20, 16] Operation: 8+8=16
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 22:[20, 1], Operations: ['26-18=8', '8/8=1']
Exploring Operation: 20*1=20, Resulting Numbers: [20]
20,22 unequal: No Solution
Exploring Operation: 20/1=20, Resulting Numbers: [20]
20,22 unequal: No Solution
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,22 unequal: No Solution
Exploring Operation: 20+1=21, Resulting Numbers: [21]
21,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 22:[8, 12], Operations: ['26-18=8', '20-8=12']
Exploring Operation: 8*12=96, Resulting Numbers: [96]
96,22 unequal: No Solution
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Exploring Operation: 8+12=20, Resulting Numbers: [20]
20,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 22:[8, 12], Operations: ['26-18=8', '20-8=12']
Exploring Operation: 8+12=20, Resulting Numbers: [20]
20,22 unequal: No Solution
Exploring Operation: 8*12=96, Resulting Numbers: [96]
96,22 unequal: No Solution
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 22:[20, 0], Operations: ['26-18=8', '8-8=0']
Exploring Operation: 20-0=20, Resulting Numbers: [20]
20,22 unequal: No Solution
Exploring Operation: 20+0=20, Resulting Numbers: [20]
20,22 unequal: No Solution
Exploring Operation: 20*0=0, Resulting Numbers: [0]
0,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 22:[20, 16], Operations: ['26-18=8', '8+8=16']
Exploring Operation: 20+16=36, Resulting Numbers: [36]
36,22 unequal: No Solution
Exploring Operation: 20-16=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Exploring Operation: 20*16=320, Resulting Numbers: [320]
320,22 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: 22:[18, 26, 12], Operations: ['20-8=12']
Exploring Operation: 18-12=6, Resulting Numbers: [26, 6]
Generated Node #0,0,0: 22:[26, 6] Operation: 18-12=6
Exploring Operation: 18+12=30, Resulting Numbers: [26, 30]
Generated Node #0,0,1: 22:[26, 30] Operation: 18+12=30
Exploring Operation: 26+12=38, Resulting Numbers: [18, 38]
Generated Node #0,0,2: 22:[18, 38] Operation: 26+12=38
Exploring Operation: 26-12=14, Resulting Numbers: [18, 14]
Generated Node #0,0,3: 22:[18, 14] Operation: 26-12=14
Exploring Operation: 26-18=8, Resulting Numbers: [12, 8]
Generated Node #0,0,4: 22:[12, 8] Operation: 26-18=8
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 22:[12, 8], Operations: ['20-8=12', '26-18=8']
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Exploring Operation: 12+8=20, Resulting Numbers: [20]
20,22 unequal: No Solution
Exploring Operation: 12*8=96, Resulting Numbers: [96]
96,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 22:[18, 14], Operations: ['20-8=12', '26-12=14']
Exploring Operation: 18-14=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Exploring Operation: 18*14=252, Resulting Numbers: [252]
252,22 unequal: No Solution
Exploring Operation: 18+14=32, Resulting Numbers: [32]
32,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 22:[26, 6], Operations: ['20-8=12', '18-12=6']
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,22 unequal: No Solution
Exploring Operation: 26+6=32, Resulting Numbers: [32]
32,22 unequal: No Solution
Exploring Operation: 26*6=156, Resulting Numbers: [156]
156,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 22:[26, 30], Operations: ['20-8=12', '18+12=30']
Exploring Operation: 26*30=780, Resulting Numbers: [780]
780,22 unequal: No Solution
Exploring Operation: 26+30=56, Resulting Numbers: [56]
56,22 unequal: No Solution
Exploring Operation: 30-26=4, Resulting Numbers: [4]
4,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 22:[18, 38], Operations: ['20-8=12', '26+12=38']
Exploring Operation: 18+38=56, Resulting Numbers: [56]
56,22 unequal: No Solution
Exploring Operation: 18*38=684, Resulting Numbers: [684]
684,22 unequal: No Solution
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,22 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: 22:[20, 26, 26], Operations: ['8+18=26']
Exploring Operation: 26/26=1, Resulting Numbers: [20, 1]
Generated Node #0,2,0: 22:[20, 1] Operation: 26/26=1
Exploring Operation: 26-20=6, Resulting Numbers: [26, 6]
Generated Node #0,2,1: 22:[26, 6] Operation: 26-20=6
Exploring Operation: 20+26=46, Resulting Numbers: [26, 46]
Generated Node #0,2,2: 22:[26, 46] Operation: 20+26=46
Exploring Operation: 26-26=0, Resulting Numbers: [20, 0]
Generated Node #0,2,3: 22:[20, 0] Operation: 26-26=0
Exploring Operation: 26-20=6, Resulting Numbers: [26, 6]
Generated Node #0,2,4: 22:[26, 6] Operation: 26-20=6
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 22:[20, 1], Operations: ['8+18=26', '26/26=1']
Exploring Operation: 20*1=20, Resulting Numbers: [20]
20,22 unequal: No Solution
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,22 unequal: No Solution
Exploring Operation: 20/1=20, Resulting Numbers: [20]
20,22 unequal: No Solution
Exploring Operation: 20+1=21, Resulting Numbers: [21]
21,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 22:[20, 0], Operations: ['8+18=26', '26-26=0']
Exploring Operation: 20-0=20, Resulting Numbers: [20]
20,22 unequal: No Solution
Exploring Operation: 20*0=0, Resulting Numbers: [0]
0,22 unequal: No Solution
Exploring Operation: 20+0=20, Resulting Numbers: [20]
20,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 22:[26, 6], Operations: ['8+18=26', '26-20=6']
Exploring Operation: 26*6=156, Resulting Numbers: [156]
156,22 unequal: No Solution
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,22 unequal: No Solution
Exploring Operation: 26+6=32, Resulting Numbers: [32]
32,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 22:[26, 6], Operations: ['8+18=26', '26-20=6']
Exploring Operation: 26+6=32, Resulting Numbers: [32]
32,22 unequal: No Solution
Exploring Operation: 26*6=156, Resulting Numbers: [156]
156,22 unequal: No Solution
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 22:[26, 46], Operations: ['8+18=26', '20+26=46']
Exploring Operation: 46-26=20, Resulting Numbers: [20]
20,22 unequal: No Solution
Exploring Operation: 26+46=72, Resulting Numbers: [72]
72,22 unequal: No Solution
Exploring Operation: 26*46=1196, Resulting Numbers: [1196]
1196,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,1
Current State: 22:[2, 18], Operations: ['20-18=2', '26-8=18']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,22 unequal: No Solution
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,22 unequal: No Solution
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,22 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,22 unequal: No Solution
Moving to Node #0,3,3
Current State: 22:[8, 13], Operations: ['20-18=2', '26/2=13']
Exploring Operation: 8*13=104, Resulting Numbers: [104]
104,22 unequal: No Solution
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,22 unequal: No Solution
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,22 unequal: No Solution
Moving to Node #0,3,2
Current State: 22:[26, 10], Operations: ['20-18=2', '8+2=10']
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,22 unequal: No Solution
Exploring Operation: 26+10=36, Resulting Numbers: [36]
36,22 unequal: No Solution
Exploring Operation: 26*10=260, Resulting Numbers: [260]
260,22 unequal: No Solution
Moving to Node #0,3,4
Current State: 22:[8, 24], Operations: ['20-18=2', '26-2=24']
Exploring Operation: 24/8=3, Resulting Numbers: [3]
3,22 unequal: No Solution
Exploring Operation: 8*24=192, Resulting Numbers: [192]
192,22 unequal: No Solution
Exploring Operation: 8+24=32, Resulting Numbers: [32]
32,22 unequal: No Solution
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,22 unequal: No Solution
Moving to Node #0,3,0
Current State: 22:[26, 4], Operations: ['20-18=2', '8/2=4']
Exploring Operation: 26*4=104, Resulting Numbers: [104]
104,22 unequal: No Solution
Exploring Operation: 26+4=30, Resulting Numbers: [30]
30,22 unequal: No Solution
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[8, 20, 18, 26], Operations: []
Exploring Operation: 20-18=2, Resulting Numbers: [8, 26, 2]
Generated Node #0,3: 22:[8, 26, 2] Operation: 20-18=2
Moving to Node #0,3
Current State: 22:[8, 26, 2], Operations: ['20-18=2']
Exploring Operation: 8/2=4, Resulting Numbers: [26, 4]
Generated Node #0,3,0: 22:[26, 4] Operation: 8/2=4
Moving to Node #0,3,0
Current State: 22:[26, 4], Operations: ['20-18=2', '8/2=4']
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 0.901042 | hs_5 | mult_heuristic |
[
24,
60,
78,
10
] | 60 | [
"24+60=84",
"84-78=6",
"10*6=60"
] | Current State: 60:[24, 60, 78, 10], Operations: []
Exploring Operation: 24+60=84, Resulting Numbers: [78, 10, 84]
Generated Node #2: [78, 10, 84] from Operation: 24+60=84
Current State: 60:[78, 10, 84], Operations: ['24+60=84']
Exploring Operation: 84-78=6, Resulting Numbers: [10, 6]
Generated Node #3: [10, 6] from Operation: 84-78=6
Current State: 60:[10, 6], Operations: ['24+60=84', '84-78=6']
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[24, 60, 78, 10], Operations: []
Exploring Operation: 78-10=68, Resulting Numbers: [24, 60, 68]
Generated Node #0,0: 60:[24, 60, 68] Operation: 78-10=68
Exploring Operation: 78-24=54, Resulting Numbers: [60, 10, 54]
Generated Node #0,1: 60:[60, 10, 54] Operation: 78-24=54
Exploring Operation: 24-10=14, Resulting Numbers: [60, 78, 14]
Generated Node #0,2: 60:[60, 78, 14] Operation: 24-10=14
Exploring Operation: 78-60=18, Resulting Numbers: [24, 10, 18]
Generated Node #0,3: 60:[24, 10, 18] Operation: 78-60=18
Exploring Operation: 24+10=34, Resulting Numbers: [60, 78, 34]
Generated Node #0,4: 60:[60, 78, 34] Operation: 24+10=34
Moving to Node #0,1
Current State: 60:[60, 10, 54], Operations: ['78-24=54']
Exploring Operation: 60+10=70, Resulting Numbers: [54, 70]
Generated Node #0,1,0: 60:[54, 70] Operation: 60+10=70
Exploring Operation: 60/10=6, Resulting Numbers: [54, 6]
Generated Node #0,1,1: 60:[54, 6] Operation: 60/10=6
Exploring Operation: 54-10=44, Resulting Numbers: [60, 44]
Generated Node #0,1,2: 60:[60, 44] Operation: 54-10=44
Exploring Operation: 60-54=6, Resulting Numbers: [10, 6]
Generated Node #0,1,3: 60:[10, 6] Operation: 60-54=6
Exploring Operation: 10+54=64, Resulting Numbers: [60, 64]
Generated Node #0,1,4: 60:[60, 64] Operation: 10+54=64
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 60:[10, 6], Operations: ['78-24=54', '60-54=6']
Exploring Operation: 10+6=16, Resulting Numbers: [16]
16,60 unequal: No Solution
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[24, 60, 78, 10], Operations: []
Exploring Operation: 78-24=54, Resulting Numbers: [60, 10, 54]
Generated Node #0,1: 60:[60, 10, 54] Operation: 78-24=54
Moving to Node #0,1
Current State: 60:[60, 10, 54], Operations: ['78-24=54']
Exploring Operation: 60-54=6, Resulting Numbers: [10, 6]
Generated Node #0,1,3: 60:[10, 6] Operation: 60-54=6
Moving to Node #0,1,3
Current State: 60:[10, 6], Operations: ['78-24=54', '60-54=6']
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
2,
84,
36,
50
] | 35 | [
"84+36=120",
"120-50=70",
"70/2=35"
] | Current State: 35:[2, 84, 36, 50], Operations: []
Exploring Operation: 84+36=120, Resulting Numbers: [2, 50, 120]
Generated Node #2: [2, 50, 120] from Operation: 84+36=120
Current State: 35:[2, 50, 120], Operations: ['84+36=120']
Exploring Operation: 120-50=70, Resulting Numbers: [2, 70]
Generated Node #3: [2, 70] from Operation: 120-50=70
Current State: 35:[2, 70], Operations: ['84+36=120', '120-50=70']
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[2, 84, 36, 50], Operations: []
Exploring Operation: 84-50=34, Resulting Numbers: [2, 36, 34]
Generated Node #0,0: 35:[2, 36, 34] Operation: 84-50=34
Moving to Node #0,0
Current State: 35:[2, 36, 34], Operations: ['84-50=34']
Exploring Operation: 36-2=34, Resulting Numbers: [34, 34]
Generated Node #0,0,0: 35:[34, 34] Operation: 36-2=34
Moving to Node #0,0,0
Current State: 35:[34, 34], Operations: ['84-50=34', '36-2=34']
Exploring Operation: 34/34=1, Resulting Numbers: [1]
1,35 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
16,
94,
2,
1
] | 56 | [
"16+94=110",
"110/2=55",
"1+55=56"
] | Current State: 56:[16, 94, 2, 1], Operations: []
Exploring Operation: 16+94=110, Resulting Numbers: [2, 1, 110]
Generated Node #2: [2, 1, 110] from Operation: 16+94=110
Current State: 56:[2, 1, 110], Operations: ['16+94=110']
Exploring Operation: 110/2=55, Resulting Numbers: [1, 55]
Generated Node #3: [1, 55] from Operation: 110/2=55
Current State: 56:[1, 55], Operations: ['16+94=110', '110/2=55']
Exploring Operation: 1+55=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[16, 94, 2, 1], Operations: []
Exploring Operation: 94/2=47, Resulting Numbers: [16, 1, 47]
Generated Node #0,0: 56:[16, 1, 47] Operation: 94/2=47
Moving to Node #0,0
Current State: 56:[16, 1, 47], Operations: ['94/2=47']
Exploring Operation: 47-16=31, Resulting Numbers: [1, 31]
Generated Node #0,0,0: 56:[1, 31] Operation: 47-16=31
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 56:[1, 31], Operations: ['94/2=47', '47-16=31']
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,56 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,
83,
9,
52
] | 85 | [
"83-41=42",
"52-9=43",
"42+43=85"
] | Current State: 85:[41, 83, 9, 52], Operations: []
Exploring Operation: 83-41=42, Resulting Numbers: [9, 52, 42]
Generated Node #2: [9, 52, 42] from Operation: 83-41=42
Current State: 85:[9, 52, 42], Operations: ['83-41=42']
Exploring Operation: 52-9=43, Resulting Numbers: [42, 43]
Generated Node #3: [42, 43] from Operation: 52-9=43
Current State: 85:[42, 43], Operations: ['83-41=42', '52-9=43']
Exploring Operation: 42+43=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[41, 83, 9, 52], Operations: []
Exploring Operation: 52-41=11, Resulting Numbers: [83, 9, 11]
Generated Node #0,0: 85:[83, 9, 11] Operation: 52-41=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[83, 9, 11], Operations: ['52-41=11']
Exploring Operation: 9+11=20, Resulting Numbers: [83, 20]
Generated Node #0,0,0: 85:[83, 20] Operation: 9+11=20
Moving to Node #0,0,0
Current State: 85:[83, 20], Operations: ['52-41=11', '9+11=20']
Exploring Operation: 83+20=103, Resulting Numbers: [103]
103,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
28,
71,
41,
14
] | 28 | [
"71-28=43",
"43-41=2",
"14*2=28"
] | Current State: 28:[28, 71, 41, 14], Operations: []
Exploring Operation: 71-28=43, Resulting Numbers: [41, 14, 43]
Generated Node #2: [41, 14, 43] from Operation: 71-28=43
Current State: 28:[41, 14, 43], Operations: ['71-28=43']
Exploring Operation: 43-41=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 43-41=2
Current State: 28:[14, 2], Operations: ['71-28=43', '43-41=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[28, 71, 41, 14], Operations: []
Exploring Operation: 71-28=43, Resulting Numbers: [41, 14, 43]
Generated Node #0,0: 28:[41, 14, 43] Operation: 71-28=43
Exploring Operation: 71-41=30, Resulting Numbers: [28, 14, 30]
Generated Node #0,1: 28:[28, 14, 30] Operation: 71-41=30
Moving to Node #0,1
Current State: 28:[28, 14, 30], Operations: ['71-41=30']
Exploring Operation: 28-14=14, Resulting Numbers: [30, 14]
Generated Node #0,1,0: 28:[30, 14] Operation: 28-14=14
Exploring Operation: 30-28=2, Resulting Numbers: [14, 2]
Generated Node #0,1,1: 28:[14, 2] Operation: 30-28=2
Moving to Node #0,0
Current State: 28:[41, 14, 43], Operations: ['71-28=43']
Exploring Operation: 43-41=2, Resulting Numbers: [14, 2]
Generated Node #0,0,0: 28:[14, 2] Operation: 43-41=2
Exploring Operation: 43-14=29, Resulting Numbers: [41, 29]
Generated Node #0,0,1: 28:[41, 29] Operation: 43-14=29
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 28:[14, 2], Operations: ['71-28=43', '43-41=2']
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[28, 71, 41, 14], Operations: []
Exploring Operation: 71-28=43, Resulting Numbers: [41, 14, 43]
Generated Node #0,0: 28:[41, 14, 43] Operation: 71-28=43
Moving to Node #0,0
Current State: 28:[41, 14, 43], Operations: ['71-28=43']
Exploring Operation: 43-41=2, Resulting Numbers: [14, 2]
Generated Node #0,0,0: 28:[14, 2] Operation: 43-41=2
Moving to Node #0,0,0
Current State: 28:[14, 2], Operations: ['71-28=43', '43-41=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
24,
28,
68,
18
] | 89 | [
"28*18=504",
"504/24=21",
"68+21=89"
] | Current State: 89:[24, 28, 68, 18], Operations: []
Exploring Operation: 28*18=504, Resulting Numbers: [24, 68, 504]
Generated Node #2: [24, 68, 504] from Operation: 28*18=504
Current State: 89:[24, 68, 504], Operations: ['28*18=504']
Exploring Operation: 504/24=21, Resulting Numbers: [68, 21]
Generated Node #3: [68, 21] from Operation: 504/24=21
Current State: 89:[68, 21], Operations: ['28*18=504', '504/24=21']
Exploring Operation: 68+21=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[24, 28, 68, 18], Operations: []
Exploring Operation: 24+18=42, Resulting Numbers: [28, 68, 42]
Generated Node #0,0: 89:[28, 68, 42] Operation: 24+18=42
Exploring Operation: 24+28=52, Resulting Numbers: [68, 18, 52]
Generated Node #0,1: 89:[68, 18, 52] Operation: 24+28=52
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[28, 68, 42], Operations: ['24+18=42']
Exploring Operation: 28+42=70, Resulting Numbers: [68, 70]
Generated Node #0,0,0: 89:[68, 70] Operation: 28+42=70
Exploring Operation: 28+68=96, Resulting Numbers: [42, 96]
Generated Node #0,0,1: 89:[42, 96] Operation: 28+68=96
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 89:[68, 70], Operations: ['24+18=42', '28+42=70']
Exploring Operation: 70-68=2, Resulting Numbers: [2]
2,89 unequal: No Solution
Exploring Operation: 68+70=138, Resulting Numbers: [138]
138,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 89:[42, 96], Operations: ['24+18=42', '28+68=96']
Exploring Operation: 96-42=54, Resulting Numbers: [54]
54,89 unequal: No Solution
Exploring Operation: 42+96=138, Resulting Numbers: [138]
138,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 89:[68, 18, 52], Operations: ['24+28=52']
Exploring Operation: 18+52=70, Resulting Numbers: [68, 70]
Generated Node #0,1,0: 89:[68, 70] Operation: 18+52=70
Exploring Operation: 68+18=86, Resulting Numbers: [52, 86]
Generated Node #0,1,1: 89:[52, 86] Operation: 68+18=86
Moving to Node #0,1,0
Current State: 89:[68, 70], Operations: ['24+28=52', '18+52=70']
Exploring Operation: 68+70=138, Resulting Numbers: [138]
138,89 unequal: No Solution
Exploring Operation: 70-68=2, Resulting Numbers: [2]
2,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[52, 86], Operations: ['24+28=52', '68+18=86']
Exploring Operation: 52+86=138, Resulting Numbers: [138]
138,89 unequal: No Solution
Exploring Operation: 86-52=34, Resulting Numbers: [34]
34,89 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 |
[
2,
23,
63,
8
] | 11 | [
"2+23=25",
"63+25=88",
"88/8=11"
] | Current State: 11:[2, 23, 63, 8], Operations: []
Exploring Operation: 2+23=25, Resulting Numbers: [63, 8, 25]
Generated Node #2: [63, 8, 25] from Operation: 2+23=25
Current State: 11:[63, 8, 25], Operations: ['2+23=25']
Exploring Operation: 63+25=88, Resulting Numbers: [8, 88]
Generated Node #3: [8, 88] from Operation: 63+25=88
Current State: 11:[8, 88], Operations: ['2+23=25', '63+25=88']
Exploring Operation: 88/8=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[2, 23, 63, 8], Operations: []
Exploring Operation: 63-23=40, Resulting Numbers: [2, 8, 40]
Generated Node #0,0: 11:[2, 8, 40] Operation: 63-23=40
Exploring Operation: 23-2=21, Resulting Numbers: [63, 8, 21]
Generated Node #0,1: 11:[63, 8, 21] Operation: 23-2=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[2, 8, 40], Operations: ['63-23=40']
Exploring Operation: 40/8=5, Resulting Numbers: [2, 5]
Generated Node #0,0,0: 11:[2, 5] Operation: 40/8=5
Exploring Operation: 40/2=20, Resulting Numbers: [8, 20]
Generated Node #0,0,1: 11:[8, 20] Operation: 40/2=20
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 11:[8, 20], Operations: ['63-23=40', '40/2=20']
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 8+20=28, Resulting Numbers: [28]
28,11 unequal: No Solution
No 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: 11:[2, 5], Operations: ['63-23=40', '40/8=5']
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,11 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[63, 8, 21], Operations: ['23-2=21']
Exploring Operation: 63/21=3, Resulting Numbers: [8, 3]
Generated Node #0,1,0: 11:[8, 3] Operation: 63/21=3
Exploring Operation: 63-21=42, Resulting Numbers: [8, 42]
Generated Node #0,1,1: 11:[8, 42] Operation: 63-21=42
Moving to Node #0,1,0
Current State: 11:[8, 3], Operations: ['23-2=21', '63/21=3']
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[2, 23, 63, 8], Operations: []
Exploring Operation: 23-2=21, Resulting Numbers: [63, 8, 21]
Generated Node #0,1: 11:[63, 8, 21] Operation: 23-2=21
Moving to Node #0,1
Current State: 11:[63, 8, 21], Operations: ['23-2=21']
Exploring Operation: 63/21=3, Resulting Numbers: [8, 3]
Generated Node #0,1,0: 11:[8, 3] Operation: 63/21=3
Moving to Node #0,1,0
Current State: 11:[8, 3], Operations: ['23-2=21', '63/21=3']
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
28,
37,
51,
45
] | 43 | [
"51-37=14",
"28/14=2",
"45-2=43"
] | Current State: 43:[28, 37, 51, 45], Operations: []
Exploring Operation: 51-37=14, Resulting Numbers: [28, 45, 14]
Generated Node #2: [28, 45, 14] from Operation: 51-37=14
Current State: 43:[28, 45, 14], Operations: ['51-37=14']
Exploring Operation: 28/14=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 28/14=2
Current State: 43:[45, 2], Operations: ['51-37=14', '28/14=2']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[28, 37, 51, 45], Operations: []
Exploring Operation: 51-28=23, Resulting Numbers: [37, 45, 23]
Generated Node #0,0: 43:[37, 45, 23] Operation: 51-28=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[37, 45, 23], Operations: ['51-28=23']
Exploring Operation: 37+23=60, Resulting Numbers: [45, 60]
Generated Node #0,0,0: 43:[45, 60] Operation: 37+23=60
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 43:[45, 60], Operations: ['51-28=23', '37+23=60']
Exploring Operation: 60-45=15, Resulting Numbers: [15]
15,43 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
No solution found.
| 0 | hs_1 | sum_heuristic |
[
9,
63,
11,
47
] | 31 | [
"11-9=2",
"47*2=94",
"94-63=31"
] | Current State: 31:[9, 63, 11, 47], Operations: []
Exploring Operation: 11-9=2, Resulting Numbers: [63, 47, 2]
Generated Node #2: [63, 47, 2] from Operation: 11-9=2
Current State: 31:[63, 47, 2], Operations: ['11-9=2']
Exploring Operation: 47*2=94, Resulting Numbers: [63, 94]
Generated Node #3: [63, 94] from Operation: 47*2=94
Current State: 31:[63, 94], Operations: ['11-9=2', '47*2=94']
Exploring Operation: 94-63=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[9, 63, 11, 47], Operations: []
Exploring Operation: 63-11=52, Resulting Numbers: [9, 47, 52]
Generated Node #0,0: 31:[9, 47, 52] Operation: 63-11=52
Exploring Operation: 63-47=16, Resulting Numbers: [9, 11, 16]
Generated Node #0,1: 31:[9, 11, 16] Operation: 63-47=16
Exploring Operation: 63-9=54, Resulting Numbers: [11, 47, 54]
Generated Node #0,2: 31:[11, 47, 54] Operation: 63-9=54
Exploring Operation: 9+11=20, Resulting Numbers: [63, 47, 20]
Generated Node #0,3: 31:[63, 47, 20] Operation: 9+11=20
Exploring Operation: 47-9=38, Resulting Numbers: [63, 11, 38]
Generated Node #0,4: 31:[63, 11, 38] Operation: 47-9=38
Start Sub Search at level 1: Moving to Node #0,1
Current State: 31:[9, 11, 16], Operations: ['63-47=16']
Exploring Operation: 9+16=25, Resulting Numbers: [11, 25]
Generated Node #0,1,0: 31:[11, 25] Operation: 9+16=25
Exploring Operation: 16-9=7, Resulting Numbers: [11, 7]
Generated Node #0,1,1: 31:[11, 7] Operation: 16-9=7
Exploring Operation: 9+11=20, Resulting Numbers: [16, 20]
Generated Node #0,1,2: 31:[16, 20] Operation: 9+11=20
Exploring Operation: 11-9=2, Resulting Numbers: [16, 2]
Generated Node #0,1,3: 31:[16, 2] Operation: 11-9=2
Exploring Operation: 11+16=27, Resulting Numbers: [9, 27]
Generated Node #0,1,4: 31:[9, 27] Operation: 11+16=27
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 31:[11, 25], Operations: ['63-47=16', '9+16=25']
Exploring Operation: 11+25=36, Resulting Numbers: [36]
36,31 unequal: No Solution
Exploring Operation: 11*25=275, Resulting Numbers: [275]
275,31 unequal: No Solution
Exploring Operation: 25-11=14, Resulting Numbers: [14]
14,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 31:[16, 20], Operations: ['63-47=16', '9+11=20']
Exploring Operation: 20-16=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Exploring Operation: 16+20=36, Resulting Numbers: [36]
36,31 unequal: No Solution
Exploring Operation: 16*20=320, Resulting Numbers: [320]
320,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 31:[9, 27], Operations: ['63-47=16', '11+16=27']
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,31 unequal: No Solution
Exploring Operation: 9+27=36, Resulting Numbers: [36]
36,31 unequal: No Solution
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 9*27=243, Resulting Numbers: [243]
243,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 31:[11, 7], Operations: ['63-47=16', '16-9=7']
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Exploring Operation: 11*7=77, Resulting Numbers: [77]
77,31 unequal: No Solution
Exploring Operation: 11+7=18, Resulting Numbers: [18]
18,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 31:[16, 2], Operations: ['63-47=16', '11-9=2']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,31 unequal: No Solution
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,31 unequal: No Solution
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,31 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 #0,0
Current State: 31:[9, 47, 52], Operations: ['63-11=52']
Exploring Operation: 47-9=38, Resulting Numbers: [52, 38]
Generated Node #0,0,0: 31:[52, 38] Operation: 47-9=38
Exploring Operation: 52-9=43, Resulting Numbers: [47, 43]
Generated Node #0,0,1: 31:[47, 43] Operation: 52-9=43
Exploring Operation: 9+52=61, Resulting Numbers: [47, 61]
Generated Node #0,0,2: 31:[47, 61] Operation: 9+52=61
Exploring Operation: 9+47=56, Resulting Numbers: [52, 56]
Generated Node #0,0,3: 31:[52, 56] Operation: 9+47=56
Exploring Operation: 52-47=5, Resulting Numbers: [9, 5]
Generated Node #0,0,4: 31:[9, 5] Operation: 52-47=5
Moving to Node #0,0,0
Current State: 31:[52, 38], Operations: ['63-11=52', '47-9=38']
Exploring Operation: 52+38=90, Resulting Numbers: [90]
90,31 unequal: No Solution
Exploring Operation: 52*38=1976, Resulting Numbers: [1976]
1976,31 unequal: No Solution
Exploring Operation: 52-38=14, Resulting Numbers: [14]
14,31 unequal: No Solution
Moving to Node #0,0,1
Current State: 31:[47, 43], Operations: ['63-11=52', '52-9=43']
Exploring Operation: 47+43=90, Resulting Numbers: [90]
90,31 unequal: No Solution
Exploring Operation: 47-43=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Exploring Operation: 47*43=2021, Resulting Numbers: [2021]
2021,31 unequal: No Solution
Moving to Node #0,0,2
Current State: 31:[47, 61], Operations: ['63-11=52', '9+52=61']
Exploring Operation: 47+61=108, Resulting Numbers: [108]
108,31 unequal: No Solution
Exploring Operation: 61-47=14, Resulting Numbers: [14]
14,31 unequal: No Solution
Exploring Operation: 47*61=2867, Resulting Numbers: [2867]
2867,31 unequal: No Solution
Moving to Node #0,0,3
Current State: 31:[52, 56], Operations: ['63-11=52', '9+47=56']
Exploring Operation: 52*56=2912, Resulting Numbers: [2912]
2912,31 unequal: No Solution
Exploring Operation: 52+56=108, Resulting Numbers: [108]
108,31 unequal: No Solution
Exploring Operation: 56-52=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Moving to Node #0,0,4
Current State: 31:[9, 5], Operations: ['63-11=52', '52-47=5']
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,31 unequal: No Solution
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Exploring Operation: 9+5=14, Resulting Numbers: [14]
14,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 31:[11, 47, 54], Operations: ['63-9=54']
Exploring Operation: 54-11=43, Resulting Numbers: [47, 43]
Generated Node #0,2,0: 31:[47, 43] Operation: 54-11=43
Exploring Operation: 11+47=58, Resulting Numbers: [54, 58]
Generated Node #0,2,1: 31:[54, 58] Operation: 11+47=58
Exploring Operation: 47-11=36, Resulting Numbers: [54, 36]
Generated Node #0,2,2: 31:[54, 36] Operation: 47-11=36
Exploring Operation: 54-47=7, Resulting Numbers: [11, 7]
Generated Node #0,2,3: 31:[11, 7] Operation: 54-47=7
Exploring Operation: 11+54=65, Resulting Numbers: [47, 65]
Generated Node #0,2,4: 31:[47, 65] Operation: 11+54=65
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 31:[47, 43], Operations: ['63-9=54', '54-11=43']
Exploring Operation: 47*43=2021, Resulting Numbers: [2021]
2021,31 unequal: No Solution
Exploring Operation: 47-43=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Exploring Operation: 47+43=90, Resulting Numbers: [90]
90,31 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 #0,2,2
Current State: 31:[54, 36], Operations: ['63-9=54', '47-11=36']
Exploring Operation: 54*36=1944, Resulting Numbers: [1944]
1944,31 unequal: No Solution
Exploring Operation: 54-36=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 54+36=90, Resulting Numbers: [90]
90,31 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 #0,2,3
Current State: 31:[11, 7], Operations: ['63-9=54', '54-47=7']
Exploring Operation: 11*7=77, Resulting Numbers: [77]
77,31 unequal: No Solution
Exploring Operation: 11+7=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,31 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 #0,2,1
Current State: 31:[54, 58], Operations: ['63-9=54', '11+47=58']
Exploring Operation: 58-54=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Exploring Operation: 54+58=112, Resulting Numbers: [112]
112,31 unequal: No Solution
Exploring Operation: 54*58=3132, Resulting Numbers: [3132]
3132,31 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 #0,2,4
Current State: 31:[47, 65], Operations: ['63-9=54', '11+54=65']
Exploring Operation: 47+65=112, Resulting Numbers: [112]
112,31 unequal: No Solution
Exploring Operation: 65-47=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 47*65=3055, Resulting Numbers: [3055]
3055,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 31:[63, 47, 20], Operations: ['9+11=20']
Exploring Operation: 63+20=83, Resulting Numbers: [47, 83]
Generated Node #0,3,0: 31:[47, 83] Operation: 63+20=83
Exploring Operation: 63-20=43, Resulting Numbers: [47, 43]
Generated Node #0,3,1: 31:[47, 43] Operation: 63-20=43
Exploring Operation: 63-47=16, Resulting Numbers: [20, 16]
Generated Node #0,3,2: 31:[20, 16] Operation: 63-47=16
Exploring Operation: 47+20=67, Resulting Numbers: [63, 67]
Generated Node #0,3,3: 31:[63, 67] Operation: 47+20=67
Exploring Operation: 47-20=27, Resulting Numbers: [63, 27]
Generated Node #0,3,4: 31:[63, 27] Operation: 47-20=27
Moving to Node #0,3,2
Current State: 31:[20, 16], Operations: ['9+11=20', '63-47=16']
Exploring Operation: 20+16=36, Resulting Numbers: [36]
36,31 unequal: No Solution
Exploring Operation: 20-16=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Exploring Operation: 20*16=320, Resulting Numbers: [320]
320,31 unequal: No Solution
Moving to Node #0,3,1
Current State: 31:[47, 43], Operations: ['9+11=20', '63-20=43']
Exploring Operation: 47+43=90, Resulting Numbers: [90]
90,31 unequal: No Solution
Exploring Operation: 47*43=2021, Resulting Numbers: [2021]
2021,31 unequal: No Solution
Exploring Operation: 47-43=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Moving to Node #0,3,4
Current State: 31:[63, 27], Operations: ['9+11=20', '47-20=27']
Exploring Operation: 63+27=90, Resulting Numbers: [90]
90,31 unequal: No Solution
Exploring Operation: 63*27=1701, Resulting Numbers: [1701]
1701,31 unequal: No Solution
Exploring Operation: 63-27=36, Resulting Numbers: [36]
36,31 unequal: No Solution
Moving to Node #0,3,0
Current State: 31:[47, 83], Operations: ['9+11=20', '63+20=83']
Exploring Operation: 83-47=36, Resulting Numbers: [36]
36,31 unequal: No Solution
Exploring Operation: 47*83=3901, Resulting Numbers: [3901]
3901,31 unequal: No Solution
Exploring Operation: 47+83=130, Resulting Numbers: [130]
130,31 unequal: No Solution
Moving to Node #0,3,3
Current State: 31:[63, 67], Operations: ['9+11=20', '47+20=67']
Exploring Operation: 63+67=130, Resulting Numbers: [130]
130,31 unequal: No Solution
Exploring Operation: 67-63=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Exploring Operation: 63*67=4221, Resulting Numbers: [4221]
4221,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 31:[63, 11, 38], Operations: ['47-9=38']
Exploring Operation: 38-11=27, Resulting Numbers: [63, 27]
Generated Node #0,4,0: 31:[63, 27] Operation: 38-11=27
Exploring Operation: 11+38=49, Resulting Numbers: [63, 49]
Generated Node #0,4,1: 31:[63, 49] Operation: 11+38=49
Exploring Operation: 63-11=52, Resulting Numbers: [38, 52]
Generated Node #0,4,2: 31:[38, 52] Operation: 63-11=52
Exploring Operation: 63-38=25, Resulting Numbers: [11, 25]
Generated Node #0,4,3: 31:[11, 25] Operation: 63-38=25
Exploring Operation: 63+11=74, Resulting Numbers: [38, 74]
Generated Node #0,4,4: 31:[38, 74] Operation: 63+11=74
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 31:[11, 25], Operations: ['47-9=38', '63-38=25']
Exploring Operation: 11+25=36, Resulting Numbers: [36]
36,31 unequal: No Solution
Exploring Operation: 25-11=14, Resulting Numbers: [14]
14,31 unequal: No Solution
Exploring Operation: 11*25=275, Resulting Numbers: [275]
275,31 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 #0,4,2
Current State: 31:[38, 52], Operations: ['47-9=38', '63-11=52']
Exploring Operation: 52-38=14, Resulting Numbers: [14]
14,31 unequal: No Solution
Exploring Operation: 38*52=1976, Resulting Numbers: [1976]
1976,31 unequal: No Solution
Exploring Operation: 38+52=90, Resulting Numbers: [90]
90,31 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 #0,4,0
Current State: 31:[63, 27], Operations: ['47-9=38', '38-11=27']
Exploring Operation: 63-27=36, Resulting Numbers: [36]
36,31 unequal: No Solution
Exploring Operation: 63+27=90, Resulting Numbers: [90]
90,31 unequal: No Solution
Exploring Operation: 63*27=1701, Resulting Numbers: [1701]
1701,31 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 #0,4,1
Current State: 31:[63, 49], Operations: ['47-9=38', '11+38=49']
Exploring Operation: 63*49=3087, Resulting Numbers: [3087]
3087,31 unequal: No Solution
Exploring Operation: 63-49=14, Resulting Numbers: [14]
14,31 unequal: No Solution
Exploring Operation: 63+49=112, Resulting Numbers: [112]
112,31 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 #0,4,4
Current State: 31:[38, 74], Operations: ['47-9=38', '63+11=74']
Exploring Operation: 38*74=2812, Resulting Numbers: [2812]
2812,31 unequal: No Solution
Exploring Operation: 38+74=112, Resulting Numbers: [112]
112,31 unequal: No Solution
Exploring Operation: 74-38=36, Resulting Numbers: [36]
36,31 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
No solution found.
| 0 | hs_5 | sum_heuristic |
[
72,
63,
87,
50
] | 69 | [
"63+87=150",
"150/50=3",
"72-3=69"
] | Current State: 69:[72, 63, 87, 50], Operations: []
Exploring Operation: 63+87=150, Resulting Numbers: [72, 50, 150]
Generated Node #2: [72, 50, 150] from Operation: 63+87=150
Current State: 69:[72, 50, 150], Operations: ['63+87=150']
Exploring Operation: 150/50=3, Resulting Numbers: [72, 3]
Generated Node #3: [72, 3] from Operation: 150/50=3
Current State: 69:[72, 3], Operations: ['63+87=150', '150/50=3']
Exploring Operation: 72-3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[72, 63, 87, 50], Operations: []
Exploring Operation: 87-63=24, Resulting Numbers: [72, 50, 24]
Generated Node #0,0: 69:[72, 50, 24] Operation: 87-63=24
Moving to Node #0,0
Current State: 69:[72, 50, 24], Operations: ['87-63=24']
Exploring Operation: 72-50=22, Resulting Numbers: [24, 22]
Generated Node #0,0,0: 69:[24, 22] Operation: 72-50=22
Moving to Node #0,0,0
Current State: 69:[24, 22], Operations: ['87-63=24', '72-50=22']
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,69 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
38,
19,
80,
36
] | 25 | [
"38-19=19",
"80-36=44",
"44-19=25"
] | Current State: 25:[38, 19, 80, 36], Operations: []
Exploring Operation: 38-19=19, Resulting Numbers: [80, 36, 19]
Generated Node #2: [80, 36, 19] from Operation: 38-19=19
Current State: 25:[80, 36, 19], Operations: ['38-19=19']
Exploring Operation: 80-36=44, Resulting Numbers: [19, 44]
Generated Node #3: [19, 44] from Operation: 80-36=44
Current State: 25:[19, 44], Operations: ['38-19=19', '80-36=44']
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[38, 19, 80, 36], Operations: []
Exploring Operation: 80-38=42, Resulting Numbers: [19, 36, 42]
Generated Node #0,0: 25:[19, 36, 42] Operation: 80-38=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[19, 36, 42], Operations: ['80-38=42']
Exploring Operation: 42-36=6, Resulting Numbers: [19, 6]
Generated Node #0,0,0: 25:[19, 6] Operation: 42-36=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 25:[19, 6], Operations: ['80-38=42', '42-36=6']
Exploring Operation: 19+6=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[38, 19, 80, 36], Operations: []
Exploring Operation: 80-38=42, Resulting Numbers: [19, 36, 42]
Generated Node #0,0: 25:[19, 36, 42] Operation: 80-38=42
Moving to Node #0,0
Current State: 25:[19, 36, 42], Operations: ['80-38=42']
Exploring Operation: 42-36=6, Resulting Numbers: [19, 6]
Generated Node #0,0,0: 25:[19, 6] Operation: 42-36=6
Moving to Node #0,0,0
Current State: 25:[19, 6], Operations: ['80-38=42', '42-36=6']
Exploring Operation: 19+6=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
8,
2,
95,
22
] | 65 | [
"22-2=20",
"8*20=160",
"160-95=65"
] | Current State: 65:[8, 2, 95, 22], Operations: []
Exploring Operation: 22-2=20, Resulting Numbers: [8, 95, 20]
Generated Node #2: [8, 95, 20] from Operation: 22-2=20
Current State: 65:[8, 95, 20], Operations: ['22-2=20']
Exploring Operation: 8*20=160, Resulting Numbers: [95, 160]
Generated Node #3: [95, 160] from Operation: 8*20=160
Current State: 65:[95, 160], Operations: ['22-2=20', '8*20=160']
Exploring Operation: 160-95=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[8, 2, 95, 22], Operations: []
Exploring Operation: 95-22=73, Resulting Numbers: [8, 2, 73]
Generated Node #0,0: 65:[8, 2, 73] Operation: 95-22=73
Exploring Operation: 95-8=87, Resulting Numbers: [2, 22, 87]
Generated Node #0,1: 65:[2, 22, 87] Operation: 95-8=87
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[8, 2, 73], Operations: ['95-22=73']
Exploring Operation: 73-8=65, Resulting Numbers: [2, 65]
Generated Node #0,0,0: 65:[2, 65] Operation: 73-8=65
Exploring Operation: 8-2=6, Resulting Numbers: [73, 6]
Generated Node #0,0,1: 65:[73, 6] Operation: 8-2=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 65:[2, 65], Operations: ['95-22=73', '73-8=65']
Exploring Operation: 2+65=67, Resulting Numbers: [67]
67,65 unequal: No Solution
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,65 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 #0,0,1
Current State: 65:[73, 6], Operations: ['95-22=73', '8-2=6']
Exploring Operation: 73+6=79, Resulting Numbers: [79]
79,65 unequal: No Solution
Exploring Operation: 73-6=67, Resulting Numbers: [67]
67,65 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: 65:[2, 22, 87], Operations: ['95-8=87']
Exploring Operation: 87-22=65, Resulting Numbers: [2, 65]
Generated Node #0,1,0: 65:[2, 65] Operation: 87-22=65
Exploring Operation: 22/2=11, Resulting Numbers: [87, 11]
Generated Node #0,1,1: 65:[87, 11] Operation: 22/2=11
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 65:[2, 65], Operations: ['95-8=87', '87-22=65']
Exploring Operation: 2+65=67, Resulting Numbers: [67]
67,65 unequal: No Solution
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,65 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 #0,1,1
Current State: 65:[87, 11], Operations: ['95-8=87', '22/2=11']
Exploring Operation: 87-11=76, Resulting Numbers: [76]
76,65 unequal: No Solution
Exploring Operation: 87+11=98, Resulting Numbers: [98]
98,65 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 |
[
89,
96,
65,
49
] | 45 | [
"89-65=24",
"96/24=4",
"49-4=45"
] | Current State: 45:[89, 96, 65, 49], Operations: []
Exploring Operation: 89-65=24, Resulting Numbers: [96, 49, 24]
Generated Node #2: [96, 49, 24] from Operation: 89-65=24
Current State: 45:[96, 49, 24], Operations: ['89-65=24']
Exploring Operation: 96/24=4, Resulting Numbers: [49, 4]
Generated Node #3: [49, 4] from Operation: 96/24=4
Current State: 45:[49, 4], Operations: ['89-65=24', '96/24=4']
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[89, 96, 65, 49], Operations: []
Exploring Operation: 96-65=31, Resulting Numbers: [89, 49, 31]
Generated Node #0,0: 45:[89, 49, 31] Operation: 96-65=31
Exploring Operation: 96-89=7, Resulting Numbers: [65, 49, 7]
Generated Node #0,1: 45:[65, 49, 7] Operation: 96-89=7
Moving to Node #0,1
Current State: 45:[65, 49, 7], Operations: ['96-89=7']
Exploring Operation: 65-49=16, Resulting Numbers: [7, 16]
Generated Node #0,1,0: 45:[7, 16] Operation: 65-49=16
Exploring Operation: 65-7=58, Resulting Numbers: [49, 58]
Generated Node #0,1,1: 45:[49, 58] Operation: 65-7=58
Moving to Node #0,0
Current State: 45:[89, 49, 31], Operations: ['96-65=31']
Exploring Operation: 89-49=40, Resulting Numbers: [31, 40]
Generated Node #0,0,0: 45:[31, 40] Operation: 89-49=40
Exploring Operation: 89-31=58, Resulting Numbers: [49, 58]
Generated Node #0,0,1: 45:[49, 58] Operation: 89-31=58
Moving to Node #0,1,0
Current State: 45:[7, 16], Operations: ['96-89=7', '65-49=16']
Exploring Operation: 7+16=23, Resulting Numbers: [23]
23,45 unequal: No Solution
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,45 unequal: No Solution
Moving to Node #0,0,1
Current State: 45:[49, 58], Operations: ['96-65=31', '89-31=58']
Exploring Operation: 49+58=107, Resulting Numbers: [107]
107,45 unequal: No Solution
Exploring Operation: 58-49=9, Resulting Numbers: [9]
9,45 unequal: No Solution
Moving to Node #0,1,1
Current State: 45:[49, 58], Operations: ['96-89=7', '65-7=58']
Exploring Operation: 58-49=9, Resulting Numbers: [9]
9,45 unequal: No Solution
Exploring Operation: 49+58=107, Resulting Numbers: [107]
107,45 unequal: No Solution
Moving to Node #0,0,0
Current State: 45:[31, 40], Operations: ['96-65=31', '89-49=40']
Exploring Operation: 40-31=9, Resulting Numbers: [9]
9,45 unequal: No Solution
Exploring Operation: 31+40=71, Resulting Numbers: [71]
71,45 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
41,
89,
40,
11
] | 77 | [
"89-41=48",
"40-11=29",
"48+29=77"
] | Current State: 77:[41, 89, 40, 11], Operations: []
Exploring Operation: 89-41=48, Resulting Numbers: [40, 11, 48]
Generated Node #2: [40, 11, 48] from Operation: 89-41=48
Current State: 77:[40, 11, 48], Operations: ['89-41=48']
Exploring Operation: 40-11=29, Resulting Numbers: [48, 29]
Generated Node #3: [48, 29] from Operation: 40-11=29
Current State: 77:[48, 29], Operations: ['89-41=48', '40-11=29']
Exploring Operation: 48+29=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[41, 89, 40, 11], Operations: []
Exploring Operation: 89-41=48, Resulting Numbers: [40, 11, 48]
Generated Node #0,0: 77:[40, 11, 48] Operation: 89-41=48
Exploring Operation: 89-40=49, Resulting Numbers: [41, 11, 49]
Generated Node #0,1: 77:[41, 11, 49] Operation: 89-40=49
Exploring Operation: 41-40=1, Resulting Numbers: [89, 11, 1]
Generated Node #0,2: 77:[89, 11, 1] Operation: 41-40=1
Exploring Operation: 41+40=81, Resulting Numbers: [89, 11, 81]
Generated Node #0,3: 77:[89, 11, 81] Operation: 41+40=81
Start Sub Search at level 1: Moving to Node #0,3
Current State: 77:[89, 11, 81], Operations: ['41+40=81']
Exploring Operation: 89+11=100, Resulting Numbers: [81, 100]
Generated Node #0,3,0: 77:[81, 100] Operation: 89+11=100
Exploring Operation: 89-11=78, Resulting Numbers: [81, 78]
Generated Node #0,3,1: 77:[81, 78] Operation: 89-11=78
Exploring Operation: 89-81=8, Resulting Numbers: [11, 8]
Generated Node #0,3,2: 77:[11, 8] Operation: 89-81=8
Exploring Operation: 81-11=70, Resulting Numbers: [89, 70]
Generated Node #0,3,3: 77:[89, 70] Operation: 81-11=70
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 77:[11, 8], Operations: ['41+40=81', '89-81=8']
Exploring Operation: 11+8=19, Resulting Numbers: [19]
19,77 unequal: No Solution
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,77 unequal: No Solution
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,77 unequal: No Solution
No 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: 77:[81, 78], Operations: ['41+40=81', '89-11=78']
Exploring Operation: 81-78=3, Resulting Numbers: [3]
3,77 unequal: No Solution
Exploring Operation: 81*78=6318, Resulting Numbers: [6318]
6318,77 unequal: No Solution
Exploring Operation: 81+78=159, Resulting Numbers: [159]
159,77 unequal: No Solution
No 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: 77:[89, 70], Operations: ['41+40=81', '81-11=70']
Exploring Operation: 89+70=159, Resulting Numbers: [159]
159,77 unequal: No Solution
Exploring Operation: 89-70=19, Resulting Numbers: [19]
19,77 unequal: No Solution
Exploring Operation: 89*70=6230, Resulting Numbers: [6230]
6230,77 unequal: No Solution
No 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: 77:[81, 100], Operations: ['41+40=81', '89+11=100']
Exploring Operation: 81+100=181, Resulting Numbers: [181]
181,77 unequal: No Solution
Exploring Operation: 100-81=19, Resulting Numbers: [19]
19,77 unequal: No Solution
Exploring Operation: 81*100=8100, Resulting Numbers: [8100]
8100,77 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: 77:[89, 11, 1], Operations: ['41-40=1']
Exploring Operation: 89-11=78, Resulting Numbers: [1, 78]
Generated Node #0,2,0: 77:[1, 78] Operation: 89-11=78
Exploring Operation: 89/1=89, Resulting Numbers: [11, 89]
Generated Node #0,2,1: 77:[11, 89] Operation: 89/1=89
Exploring Operation: 89-1=88, Resulting Numbers: [11, 88]
Generated Node #0,2,2: 77:[11, 88] Operation: 89-1=88
Exploring Operation: 89*1=89, Resulting Numbers: [11, 89]
Generated Node #0,2,3: 77:[11, 89] Operation: 89*1=89
Moving to Node #0,2,0
Current State: 77:[1, 78], Operations: ['41-40=1', '89-11=78']
Exploring Operation: 78/1=78, Resulting Numbers: [78]
78,77 unequal: No Solution
Exploring Operation: 1*78=78, Resulting Numbers: [78]
78,77 unequal: No Solution
Exploring Operation: 78-1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[41, 89, 40, 11], Operations: []
Exploring Operation: 41-40=1, Resulting Numbers: [89, 11, 1]
Generated Node #0,2: 77:[89, 11, 1] Operation: 41-40=1
Moving to Node #0,2
Current State: 77:[89, 11, 1], Operations: ['41-40=1']
Exploring Operation: 89-11=78, Resulting Numbers: [1, 78]
Generated Node #0,2,0: 77:[1, 78] Operation: 89-11=78
Moving to Node #0,2,0
Current State: 77:[1, 78], Operations: ['41-40=1', '89-11=78']
Exploring Operation: 78-1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.97309 | hs_4 | mult_heuristic |
[
15,
32,
5,
94
] | 10 | [
"15+32=47",
"5*94=470",
"470/47=10"
] | Current State: 10:[15, 32, 5, 94], Operations: []
Exploring Operation: 15+32=47, Resulting Numbers: [5, 94, 47]
Generated Node #2: [5, 94, 47] from Operation: 15+32=47
Current State: 10:[5, 94, 47], Operations: ['15+32=47']
Exploring Operation: 5*94=470, Resulting Numbers: [47, 470]
Generated Node #3: [47, 470] from Operation: 5*94=470
Current State: 10:[47, 470], Operations: ['15+32=47', '5*94=470']
Exploring Operation: 470/47=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[15, 32, 5, 94], Operations: []
Exploring Operation: 94-32=62, Resulting Numbers: [15, 5, 62]
Generated Node #0,0: 10:[15, 5, 62] Operation: 94-32=62
Moving to Node #0,0
Current State: 10:[15, 5, 62], Operations: ['94-32=62']
Exploring Operation: 62-15=47, Resulting Numbers: [5, 47]
Generated Node #0,0,0: 10:[5, 47] Operation: 62-15=47
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 10:[5, 47], Operations: ['94-32=62', '62-15=47']
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,10 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 |
[
42,
56,
18,
20
] | 16 | [
"56-42=14",
"20-18=2",
"14+2=16"
] | Current State: 16:[42, 56, 18, 20], Operations: []
Exploring Operation: 56-42=14, Resulting Numbers: [18, 20, 14]
Generated Node #2: [18, 20, 14] from Operation: 56-42=14
Current State: 16:[18, 20, 14], Operations: ['56-42=14']
Exploring Operation: 20-18=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 20-18=2
Current State: 16:[14, 2], Operations: ['56-42=14', '20-18=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[42, 56, 18, 20], Operations: []
Exploring Operation: 56-20=36, Resulting Numbers: [42, 18, 36]
Generated Node #0,0: 16:[42, 18, 36] Operation: 56-20=36
Exploring Operation: 56-42=14, Resulting Numbers: [18, 20, 14]
Generated Node #0,1: 16:[18, 20, 14] Operation: 56-42=14
Exploring Operation: 42-18=24, Resulting Numbers: [56, 20, 24]
Generated Node #0,2: 16:[56, 20, 24] Operation: 42-18=24
Exploring Operation: 42-20=22, Resulting Numbers: [56, 18, 22]
Generated Node #0,3: 16:[56, 18, 22] Operation: 42-20=22
Start Sub Search at level 1: Moving to Node #0,1
Current State: 16:[18, 20, 14], Operations: ['56-42=14']
Exploring Operation: 20-14=6, Resulting Numbers: [18, 6]
Generated Node #0,1,0: 16:[18, 6] Operation: 20-14=6
Exploring Operation: 18+14=32, Resulting Numbers: [20, 32]
Generated Node #0,1,1: 16:[20, 32] Operation: 18+14=32
Exploring Operation: 18-14=4, Resulting Numbers: [20, 4]
Generated Node #0,1,2: 16:[20, 4] Operation: 18-14=4
Exploring Operation: 20-18=2, Resulting Numbers: [14, 2]
Generated Node #0,1,3: 16:[14, 2] Operation: 20-18=2
Moving to Node #0,1,3
Current State: 16:[14, 2], Operations: ['56-42=14', '20-18=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[42, 56, 18, 20], Operations: []
Exploring Operation: 56-42=14, Resulting Numbers: [18, 20, 14]
Generated Node #0,1: 16:[18, 20, 14] Operation: 56-42=14
Moving to Node #0,1
Current State: 16:[18, 20, 14], Operations: ['56-42=14']
Exploring Operation: 20-18=2, Resulting Numbers: [14, 2]
Generated Node #0,1,3: 16:[14, 2] Operation: 20-18=2
Moving to Node #0,1,3
Current State: 16:[14, 2], Operations: ['56-42=14', '20-18=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
92,
28,
53,
73
] | 100 | [
"92+28=120",
"73-53=20",
"120-20=100"
] | Current State: 100:[92, 28, 53, 73], Operations: []
Exploring Operation: 92+28=120, Resulting Numbers: [53, 73, 120]
Generated Node #2: [53, 73, 120] from Operation: 92+28=120
Current State: 100:[53, 73, 120], Operations: ['92+28=120']
Exploring Operation: 73-53=20, Resulting Numbers: [120, 20]
Generated Node #3: [120, 20] from Operation: 73-53=20
Current State: 100:[120, 20], Operations: ['92+28=120', '73-53=20']
Exploring Operation: 120-20=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[92, 28, 53, 73], Operations: []
Exploring Operation: 73-28=45, Resulting Numbers: [92, 53, 45]
Generated Node #0,0: 100:[92, 53, 45] Operation: 73-28=45
Exploring Operation: 92-73=19, Resulting Numbers: [28, 53, 19]
Generated Node #0,1: 100:[28, 53, 19] Operation: 92-73=19
Exploring Operation: 28+73=101, Resulting Numbers: [92, 53, 101]
Generated Node #0,2: 100:[92, 53, 101] Operation: 28+73=101
Exploring Operation: 73-53=20, Resulting Numbers: [92, 28, 20]
Generated Node #0,3: 100:[92, 28, 20] Operation: 73-53=20
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[28, 53, 19], Operations: ['92-73=19']
Exploring Operation: 53-19=34, Resulting Numbers: [28, 34]
Generated Node #0,1,0: 100:[28, 34] Operation: 53-19=34
Exploring Operation: 28+19=47, Resulting Numbers: [53, 47]
Generated Node #0,1,1: 100:[53, 47] Operation: 28+19=47
Exploring Operation: 28-19=9, Resulting Numbers: [53, 9]
Generated Node #0,1,2: 100:[53, 9] Operation: 28-19=9
Exploring Operation: 53-28=25, Resulting Numbers: [19, 25]
Generated Node #0,1,3: 100:[19, 25] Operation: 53-28=25
Moving to Node #0,1,3
Current State: 100:[19, 25], Operations: ['92-73=19', '53-28=25']
Exploring Operation: 19+25=44, Resulting Numbers: [44]
44,100 unequal: No Solution
Exploring Operation: 19*25=475, Resulting Numbers: [475]
475,100 unequal: No Solution
Exploring Operation: 25-19=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Moving to Node #0,1,2
Current State: 100:[53, 9], Operations: ['92-73=19', '28-19=9']
Exploring Operation: 53+9=62, Resulting Numbers: [62]
62,100 unequal: No Solution
Exploring Operation: 53*9=477, Resulting Numbers: [477]
477,100 unequal: No Solution
Exploring Operation: 53-9=44, Resulting Numbers: [44]
44,100 unequal: No Solution
Moving to Node #0,1,1
Current State: 100:[53, 47], Operations: ['92-73=19', '28+19=47']
Exploring Operation: 53*47=2491, Resulting Numbers: [2491]
2491,100 unequal: No Solution
Exploring Operation: 53-47=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Exploring Operation: 53+47=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[92, 28, 53, 73], Operations: []
Exploring Operation: 92-73=19, Resulting Numbers: [28, 53, 19]
Generated Node #0,1: 100:[28, 53, 19] Operation: 92-73=19
Moving to Node #0,1
Current State: 100:[28, 53, 19], Operations: ['92-73=19']
Exploring Operation: 28+19=47, Resulting Numbers: [53, 47]
Generated Node #0,1,1: 100:[53, 47] Operation: 28+19=47
Moving to Node #0,1,1
Current State: 100:[53, 47], Operations: ['92-73=19', '28+19=47']
Exploring Operation: 53+47=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | mult_heuristic |
[
16,
2,
63,
55
] | 75 | [
"63+55=118",
"118/2=59",
"16+59=75"
] | Current State: 75:[16, 2, 63, 55], Operations: []
Exploring Operation: 63+55=118, Resulting Numbers: [16, 2, 118]
Generated Node #2: [16, 2, 118] from Operation: 63+55=118
Current State: 75:[16, 2, 118], Operations: ['63+55=118']
Exploring Operation: 118/2=59, Resulting Numbers: [16, 59]
Generated Node #3: [16, 59] from Operation: 118/2=59
Current State: 75:[16, 59], Operations: ['63+55=118', '118/2=59']
Exploring Operation: 16+59=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[16, 2, 63, 55], Operations: []
Exploring Operation: 16+63=79, Resulting Numbers: [2, 55, 79]
Generated Node #0,0: 75:[2, 55, 79] Operation: 16+63=79
Exploring Operation: 16+55=71, Resulting Numbers: [2, 63, 71]
Generated Node #0,1: 75:[2, 63, 71] Operation: 16+55=71
Exploring Operation: 63-55=8, Resulting Numbers: [16, 2, 8]
Generated Node #0,2: 75:[16, 2, 8] Operation: 63-55=8
Exploring Operation: 55-16=39, Resulting Numbers: [2, 63, 39]
Generated Node #0,3: 75:[2, 63, 39] Operation: 55-16=39
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[16, 2, 8], Operations: ['63-55=8']
Exploring Operation: 16+8=24, Resulting Numbers: [2, 24]
Generated Node #0,2,0: 75:[2, 24] Operation: 16+8=24
Exploring Operation: 8-2=6, Resulting Numbers: [16, 6]
Generated Node #0,2,1: 75:[16, 6] Operation: 8-2=6
Exploring Operation: 16/8=2, Resulting Numbers: [2, 2]
Generated Node #0,2,2: 75:[2, 2] Operation: 16/8=2
Exploring Operation: 2*8=16, Resulting Numbers: [16, 16]
Generated Node #0,2,3: 75:[16, 16] Operation: 2*8=16
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 75:[2, 24], Operations: ['63-55=8', '16+8=24']
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,75 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,75 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,75 unequal: No Solution
No 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: 75:[16, 6], Operations: ['63-55=8', '8-2=6']
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,75 unequal: No Solution
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,75 unequal: No Solution
Exploring Operation: 16+6=22, Resulting Numbers: [22]
22,75 unequal: No Solution
No 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: 75:[2, 2], Operations: ['63-55=8', '16/8=2']
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,75 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,75 unequal: No Solution
No 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: 75:[16, 16], Operations: ['63-55=8', '2*8=16']
Exploring Operation: 16+16=32, Resulting Numbers: [32]
32,75 unequal: No Solution
Exploring Operation: 16-16=0, Resulting Numbers: [0]
0,75 unequal: No Solution
Exploring Operation: 16/16=1, Resulting Numbers: [1]
1,75 unequal: No Solution
Exploring Operation: 16*16=256, Resulting Numbers: [256]
256,75 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: 75:[2, 63, 71], Operations: ['16+55=71']
Exploring Operation: 2+63=65, Resulting Numbers: [71, 65]
Generated Node #0,1,0: 75:[71, 65] Operation: 2+63=65
Exploring Operation: 63-2=61, Resulting Numbers: [71, 61]
Generated Node #0,1,1: 75:[71, 61] Operation: 63-2=61
Exploring Operation: 71-63=8, Resulting Numbers: [2, 8]
Generated Node #0,1,2: 75:[2, 8] Operation: 71-63=8
Exploring Operation: 2+71=73, Resulting Numbers: [63, 73]
Generated Node #0,1,3: 75:[63, 73] Operation: 2+71=73
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 75:[2, 8], Operations: ['16+55=71', '71-63=8']
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,75 unequal: No Solution
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,75 unequal: No Solution
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,75 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,75 unequal: No Solution
No 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: 75:[71, 65], Operations: ['16+55=71', '2+63=65']
Exploring Operation: 71+65=136, Resulting Numbers: [136]
136,75 unequal: No Solution
Exploring Operation: 71*65=4615, Resulting Numbers: [4615]
4615,75 unequal: No Solution
Exploring Operation: 71-65=6, Resulting Numbers: [6]
6,75 unequal: No Solution
No 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: 75:[63, 73], Operations: ['16+55=71', '2+71=73']
Exploring Operation: 63+73=136, Resulting Numbers: [136]
136,75 unequal: No Solution
Exploring Operation: 73-63=10, Resulting Numbers: [10]
10,75 unequal: No Solution
Exploring Operation: 63*73=4599, Resulting Numbers: [4599]
4599,75 unequal: No Solution
No 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: 75:[71, 61], Operations: ['16+55=71', '63-2=61']
Exploring Operation: 71+61=132, Resulting Numbers: [132]
132,75 unequal: No Solution
Exploring Operation: 71*61=4331, Resulting Numbers: [4331]
4331,75 unequal: No Solution
Exploring Operation: 71-61=10, Resulting Numbers: [10]
10,75 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: 75:[2, 55, 79], Operations: ['16+63=79']
Exploring Operation: 2+55=57, Resulting Numbers: [79, 57]
Generated Node #0,0,0: 75:[79, 57] Operation: 2+55=57
Exploring Operation: 79-2=77, Resulting Numbers: [55, 77]
Generated Node #0,0,1: 75:[55, 77] Operation: 79-2=77
Exploring Operation: 55-2=53, Resulting Numbers: [79, 53]
Generated Node #0,0,2: 75:[79, 53] Operation: 55-2=53
Exploring Operation: 79-55=24, Resulting Numbers: [2, 24]
Generated Node #0,0,3: 75:[2, 24] Operation: 79-55=24
Moving to Node #0,0,3
Current State: 75:[2, 24], Operations: ['16+63=79', '79-55=24']
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,75 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,75 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,75 unequal: No Solution
Moving to Node #0,0,1
Current State: 75:[55, 77], Operations: ['16+63=79', '79-2=77']
Exploring Operation: 77-55=22, Resulting Numbers: [22]
22,75 unequal: No Solution
Exploring Operation: 55+77=132, Resulting Numbers: [132]
132,75 unequal: No Solution
Exploring Operation: 55*77=4235, Resulting Numbers: [4235]
4235,75 unequal: No Solution
Moving to Node #0,0,0
Current State: 75:[79, 57], Operations: ['16+63=79', '2+55=57']
Exploring Operation: 79*57=4503, Resulting Numbers: [4503]
4503,75 unequal: No Solution
Exploring Operation: 79-57=22, Resulting Numbers: [22]
22,75 unequal: No Solution
Exploring Operation: 79+57=136, Resulting Numbers: [136]
136,75 unequal: No Solution
Moving to Node #0,0,2
Current State: 75:[79, 53], Operations: ['16+63=79', '55-2=53']
Exploring Operation: 79-53=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Exploring Operation: 79+53=132, Resulting Numbers: [132]
132,75 unequal: No Solution
Exploring Operation: 79*53=4187, Resulting Numbers: [4187]
4187,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 75:[2, 63, 39], Operations: ['55-16=39']
Exploring Operation: 2+63=65, Resulting Numbers: [39, 65]
Generated Node #0,3,0: 75:[39, 65] Operation: 2+63=65
Exploring Operation: 39-2=37, Resulting Numbers: [63, 37]
Generated Node #0,3,1: 75:[63, 37] Operation: 39-2=37
Exploring Operation: 2*39=78, Resulting Numbers: [63, 78]
Generated Node #0,3,2: 75:[63, 78] Operation: 2*39=78
Exploring Operation: 63-39=24, Resulting Numbers: [2, 24]
Generated Node #0,3,3: 75:[2, 24] Operation: 63-39=24
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 75:[2, 24], Operations: ['55-16=39', '63-39=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,75 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,75 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,75 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,75 unequal: No Solution
No 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: 75:[63, 78], Operations: ['55-16=39', '2*39=78']
Exploring Operation: 63*78=4914, Resulting Numbers: [4914]
4914,75 unequal: No Solution
Exploring Operation: 78-63=15, Resulting Numbers: [15]
15,75 unequal: No Solution
Exploring Operation: 63+78=141, Resulting Numbers: [141]
141,75 unequal: No Solution
No 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: 75:[39, 65], Operations: ['55-16=39', '2+63=65']
Exploring Operation: 39*65=2535, Resulting Numbers: [2535]
2535,75 unequal: No Solution
Exploring Operation: 65-39=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Exploring Operation: 39+65=104, Resulting Numbers: [104]
104,75 unequal: No Solution
No 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: 75:[63, 37], Operations: ['55-16=39', '39-2=37']
Exploring Operation: 63-37=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Exploring Operation: 63+37=100, Resulting Numbers: [100]
100,75 unequal: No Solution
Exploring Operation: 63*37=2331, Resulting Numbers: [2331]
2331,75 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 |
[
5,
85,
26,
35
] | 15 | [
"5*85=425",
"425-35=390",
"390/26=15"
] | Current State: 15:[5, 85, 26, 35], Operations: []
Exploring Operation: 5*85=425, Resulting Numbers: [26, 35, 425]
Generated Node #2: [26, 35, 425] from Operation: 5*85=425
Current State: 15:[26, 35, 425], Operations: ['5*85=425']
Exploring Operation: 425-35=390, Resulting Numbers: [26, 390]
Generated Node #3: [26, 390] from Operation: 425-35=390
Current State: 15:[26, 390], Operations: ['5*85=425', '425-35=390']
Exploring Operation: 390/26=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[5, 85, 26, 35], Operations: []
Exploring Operation: 85-35=50, Resulting Numbers: [5, 26, 50]
Generated Node #0,0: 15:[5, 26, 50] Operation: 85-35=50
Exploring Operation: 35-26=9, Resulting Numbers: [5, 85, 9]
Generated Node #0,1: 15:[5, 85, 9] Operation: 35-26=9
Exploring Operation: 35/5=7, Resulting Numbers: [85, 26, 7]
Generated Node #0,2: 15:[85, 26, 7] Operation: 35/5=7
Exploring Operation: 85-26=59, Resulting Numbers: [5, 35, 59]
Generated Node #0,3: 15:[5, 35, 59] Operation: 85-26=59
Exploring Operation: 85/5=17, Resulting Numbers: [26, 35, 17]
Generated Node #0,4: 15:[26, 35, 17] Operation: 85/5=17
Start Sub Search at level 1: Moving to Node #0,4
Current State: 15:[26, 35, 17], Operations: ['85/5=17']
Exploring Operation: 35-17=18, Resulting Numbers: [26, 18]
Generated Node #0,4,0: 15:[26, 18] Operation: 35-17=18
Exploring Operation: 26-17=9, Resulting Numbers: [35, 9]
Generated Node #0,4,1: 15:[35, 9] Operation: 26-17=9
Exploring Operation: 26+17=43, Resulting Numbers: [35, 43]
Generated Node #0,4,2: 15:[35, 43] Operation: 26+17=43
Exploring Operation: 35-26=9, Resulting Numbers: [17, 9]
Generated Node #0,4,3: 15:[17, 9] Operation: 35-26=9
Exploring Operation: 26+35=61, Resulting Numbers: [17, 61]
Generated Node #0,4,4: 15:[17, 61] Operation: 26+35=61
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 15:[17, 9], Operations: ['85/5=17', '35-26=9']
Exploring Operation: 17+9=26, Resulting Numbers: [26]
26,15 unequal: No Solution
Exploring Operation: 17*9=153, Resulting Numbers: [153]
153,15 unequal: No Solution
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 15:[26, 18], Operations: ['85/5=17', '35-17=18']
Exploring Operation: 26-18=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 26*18=468, Resulting Numbers: [468]
468,15 unequal: No Solution
Exploring Operation: 26+18=44, Resulting Numbers: [44]
44,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 15:[35, 9], Operations: ['85/5=17', '26-17=9']
Exploring Operation: 35-9=26, Resulting Numbers: [26]
26,15 unequal: No Solution
Exploring Operation: 35+9=44, Resulting Numbers: [44]
44,15 unequal: No Solution
Exploring Operation: 35*9=315, Resulting Numbers: [315]
315,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 15:[35, 43], Operations: ['85/5=17', '26+17=43']
Exploring Operation: 43-35=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 35*43=1505, Resulting Numbers: [1505]
1505,15 unequal: No Solution
Exploring Operation: 35+43=78, Resulting Numbers: [78]
78,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 15:[17, 61], Operations: ['85/5=17', '26+35=61']
Exploring Operation: 61-17=44, Resulting Numbers: [44]
44,15 unequal: No Solution
Exploring Operation: 17+61=78, Resulting Numbers: [78]
78,15 unequal: No Solution
Exploring Operation: 17*61=1037, Resulting Numbers: [1037]
1037,15 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: 15:[5, 26, 50], Operations: ['85-35=50']
Exploring Operation: 50-26=24, Resulting Numbers: [5, 24]
Generated Node #0,0,0: 15:[5, 24] Operation: 50-26=24
Exploring Operation: 50/5=10, Resulting Numbers: [26, 10]
Generated Node #0,0,1: 15:[26, 10] Operation: 50/5=10
Exploring Operation: 50-5=45, Resulting Numbers: [26, 45]
Generated Node #0,0,2: 15:[26, 45] Operation: 50-5=45
Exploring Operation: 26-5=21, Resulting Numbers: [50, 21]
Generated Node #0,0,3: 15:[50, 21] Operation: 26-5=21
Exploring Operation: 5+26=31, Resulting Numbers: [50, 31]
Generated Node #0,0,4: 15:[50, 31] Operation: 5+26=31
Moving to Node #0,0,0
Current State: 15:[5, 24], Operations: ['85-35=50', '50-26=24']
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,15 unequal: No Solution
Exploring Operation: 5*24=120, Resulting Numbers: [120]
120,15 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[26, 10], Operations: ['85-35=50', '50/5=10']
Exploring Operation: 26+10=36, Resulting Numbers: [36]
36,15 unequal: No Solution
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,15 unequal: No Solution
Exploring Operation: 26*10=260, Resulting Numbers: [260]
260,15 unequal: No Solution
Moving to Node #0,0,2
Current State: 15:[26, 45], Operations: ['85-35=50', '50-5=45']
Exploring Operation: 26*45=1170, Resulting Numbers: [1170]
1170,15 unequal: No Solution
Exploring Operation: 45-26=19, Resulting Numbers: [19]
19,15 unequal: No Solution
Exploring Operation: 26+45=71, Resulting Numbers: [71]
71,15 unequal: No Solution
Moving to Node #0,0,3
Current State: 15:[50, 21], Operations: ['85-35=50', '26-5=21']
Exploring Operation: 50+21=71, Resulting Numbers: [71]
71,15 unequal: No Solution
Exploring Operation: 50-21=29, Resulting Numbers: [29]
29,15 unequal: No Solution
Exploring Operation: 50*21=1050, Resulting Numbers: [1050]
1050,15 unequal: No Solution
Moving to Node #0,0,4
Current State: 15:[50, 31], Operations: ['85-35=50', '5+26=31']
Exploring Operation: 50-31=19, Resulting Numbers: [19]
19,15 unequal: No Solution
Exploring Operation: 50+31=81, Resulting Numbers: [81]
81,15 unequal: No Solution
Exploring Operation: 50*31=1550, Resulting Numbers: [1550]
1550,15 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 #0,3
Current State: 15:[5, 35, 59], Operations: ['85-26=59']
Exploring Operation: 35-5=30, Resulting Numbers: [59, 30]
Generated Node #0,3,0: 15:[59, 30] Operation: 35-5=30
Exploring Operation: 59-5=54, Resulting Numbers: [35, 54]
Generated Node #0,3,1: 15:[35, 54] Operation: 59-5=54
Exploring Operation: 5+35=40, Resulting Numbers: [59, 40]
Generated Node #0,3,2: 15:[59, 40] Operation: 5+35=40
Exploring Operation: 59-35=24, Resulting Numbers: [5, 24]
Generated Node #0,3,3: 15:[5, 24] Operation: 59-35=24
Exploring Operation: 35/5=7, Resulting Numbers: [59, 7]
Generated Node #0,3,4: 15:[59, 7] Operation: 35/5=7
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 15:[5, 24], Operations: ['85-26=59', '59-35=24']
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,15 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,15 unequal: No Solution
Exploring Operation: 5*24=120, Resulting Numbers: [120]
120,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 15:[59, 7], Operations: ['85-26=59', '35/5=7']
Exploring Operation: 59-7=52, Resulting Numbers: [52]
52,15 unequal: No Solution
Exploring Operation: 59+7=66, Resulting Numbers: [66]
66,15 unequal: No Solution
Exploring Operation: 59*7=413, Resulting Numbers: [413]
413,15 unequal: No Solution
No 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: 15:[59, 30], Operations: ['85-26=59', '35-5=30']
Exploring Operation: 59-30=29, Resulting Numbers: [29]
29,15 unequal: No Solution
Exploring Operation: 59*30=1770, Resulting Numbers: [1770]
1770,15 unequal: No Solution
Exploring Operation: 59+30=89, Resulting Numbers: [89]
89,15 unequal: No Solution
No 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: 15:[35, 54], Operations: ['85-26=59', '59-5=54']
Exploring Operation: 54-35=19, Resulting Numbers: [19]
19,15 unequal: No Solution
Exploring Operation: 35+54=89, Resulting Numbers: [89]
89,15 unequal: No Solution
Exploring Operation: 35*54=1890, Resulting Numbers: [1890]
1890,15 unequal: No Solution
No 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: 15:[59, 40], Operations: ['85-26=59', '5+35=40']
Exploring Operation: 59*40=2360, Resulting Numbers: [2360]
2360,15 unequal: No Solution
Exploring Operation: 59+40=99, Resulting Numbers: [99]
99,15 unequal: No Solution
Exploring Operation: 59-40=19, Resulting Numbers: [19]
19,15 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: 15:[5, 85, 9], Operations: ['35-26=9']
Exploring Operation: 85-9=76, Resulting Numbers: [5, 76]
Generated Node #0,1,0: 15:[5, 76] Operation: 85-9=76
Exploring Operation: 85/5=17, Resulting Numbers: [9, 17]
Generated Node #0,1,1: 15:[9, 17] Operation: 85/5=17
Exploring Operation: 85-5=80, Resulting Numbers: [9, 80]
Generated Node #0,1,2: 15:[9, 80] Operation: 85-5=80
Exploring Operation: 9-5=4, Resulting Numbers: [85, 4]
Generated Node #0,1,3: 15:[85, 4] Operation: 9-5=4
Exploring Operation: 5+9=14, Resulting Numbers: [85, 14]
Generated Node #0,1,4: 15:[85, 14] Operation: 5+9=14
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 15:[9, 17], Operations: ['35-26=9', '85/5=17']
Exploring Operation: 9*17=153, Resulting Numbers: [153]
153,15 unequal: No Solution
Exploring Operation: 9+17=26, Resulting Numbers: [26]
26,15 unequal: No Solution
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,15 unequal: No Solution
No 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: 15:[5, 76], Operations: ['35-26=9', '85-9=76']
Exploring Operation: 76-5=71, Resulting Numbers: [71]
71,15 unequal: No Solution
Exploring Operation: 5*76=380, Resulting Numbers: [380]
380,15 unequal: No Solution
Exploring Operation: 5+76=81, Resulting Numbers: [81]
81,15 unequal: No Solution
No 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: 15:[9, 80], Operations: ['35-26=9', '85-5=80']
Exploring Operation: 80-9=71, Resulting Numbers: [71]
71,15 unequal: No Solution
Exploring Operation: 9+80=89, Resulting Numbers: [89]
89,15 unequal: No Solution
Exploring Operation: 9*80=720, Resulting Numbers: [720]
720,15 unequal: No Solution
No 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: 15:[85, 4], Operations: ['35-26=9', '9-5=4']
Exploring Operation: 85*4=340, Resulting Numbers: [340]
340,15 unequal: No Solution
Exploring Operation: 85+4=89, Resulting Numbers: [89]
89,15 unequal: No Solution
Exploring Operation: 85-4=81, Resulting Numbers: [81]
81,15 unequal: No Solution
No 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: 15:[85, 14], Operations: ['35-26=9', '5+9=14']
Exploring Operation: 85*14=1190, Resulting Numbers: [1190]
1190,15 unequal: No Solution
Exploring Operation: 85-14=71, Resulting Numbers: [71]
71,15 unequal: No Solution
Exploring Operation: 85+14=99, Resulting Numbers: [99]
99,15 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: 15:[85, 26, 7], Operations: ['35/5=7']
Exploring Operation: 85-7=78, Resulting Numbers: [26, 78]
Generated Node #0,2,0: 15:[26, 78] Operation: 85-7=78
Exploring Operation: 85+7=92, Resulting Numbers: [26, 92]
Generated Node #0,2,1: 15:[26, 92] Operation: 85+7=92
Exploring Operation: 85-26=59, Resulting Numbers: [7, 59]
Generated Node #0,2,2: 15:[7, 59] Operation: 85-26=59
Exploring Operation: 26-7=19, Resulting Numbers: [85, 19]
Generated Node #0,2,3: 15:[85, 19] Operation: 26-7=19
Exploring Operation: 26+7=33, Resulting Numbers: [85, 33]
Generated Node #0,2,4: 15:[85, 33] Operation: 26+7=33
Moving to Node #0,2,2
Current State: 15:[7, 59], Operations: ['35/5=7', '85-26=59']
Exploring Operation: 7+59=66, Resulting Numbers: [66]
66,15 unequal: No Solution
Exploring Operation: 7*59=413, Resulting Numbers: [413]
413,15 unequal: No Solution
Exploring Operation: 59-7=52, Resulting Numbers: [52]
52,15 unequal: No Solution
Moving to Node #0,2,3
Current State: 15:[85, 19], Operations: ['35/5=7', '26-7=19']
Exploring Operation: 85-19=66, Resulting Numbers: [66]
66,15 unequal: No Solution
Exploring Operation: 85+19=104, Resulting Numbers: [104]
104,15 unequal: No Solution
Exploring Operation: 85*19=1615, Resulting Numbers: [1615]
1615,15 unequal: No Solution
Moving to Node #0,2,0
Current State: 15:[26, 78], Operations: ['35/5=7', '85-7=78']
Exploring Operation: 78-26=52, Resulting Numbers: [52]
52,15 unequal: No Solution
Exploring Operation: 26+78=104, Resulting Numbers: [104]
104,15 unequal: No Solution
Exploring Operation: 78/26=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 26*78=2028, Resulting Numbers: [2028]
2028,15 unequal: No Solution
Moving to Node #0,2,1
Current State: 15:[26, 92], Operations: ['35/5=7', '85+7=92']
Exploring Operation: 92-26=66, Resulting Numbers: [66]
66,15 unequal: No Solution
Exploring Operation: 26*92=2392, Resulting Numbers: [2392]
2392,15 unequal: No Solution
Exploring Operation: 26+92=118, Resulting Numbers: [118]
118,15 unequal: No Solution
Moving to Node #0,2,4
Current State: 15:[85, 33], Operations: ['35/5=7', '26+7=33']
Exploring Operation: 85-33=52, Resulting Numbers: [52]
52,15 unequal: No Solution
Exploring Operation: 85+33=118, Resulting Numbers: [118]
118,15 unequal: No Solution
Exploring Operation: 85*33=2805, Resulting Numbers: [2805]
2805,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
32,
83,
13,
68
] | 60 | [
"32+83=115",
"68-13=55",
"115-55=60"
] | Current State: 60:[32, 83, 13, 68], Operations: []
Exploring Operation: 32+83=115, Resulting Numbers: [13, 68, 115]
Generated Node #2: [13, 68, 115] from Operation: 32+83=115
Current State: 60:[13, 68, 115], Operations: ['32+83=115']
Exploring Operation: 68-13=55, Resulting Numbers: [115, 55]
Generated Node #3: [115, 55] from Operation: 68-13=55
Current State: 60:[115, 55], Operations: ['32+83=115', '68-13=55']
Exploring Operation: 115-55=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[32, 83, 13, 68], Operations: []
Exploring Operation: 83-68=15, Resulting Numbers: [32, 13, 15]
Generated Node #0,0: 60:[32, 13, 15] Operation: 83-68=15
Exploring Operation: 68-32=36, Resulting Numbers: [83, 13, 36]
Generated Node #0,1: 60:[83, 13, 36] Operation: 68-32=36
Exploring Operation: 83-13=70, Resulting Numbers: [32, 68, 70]
Generated Node #0,2: 60:[32, 68, 70] Operation: 83-13=70
Exploring Operation: 83-32=51, Resulting Numbers: [13, 68, 51]
Generated Node #0,3: 60:[13, 68, 51] Operation: 83-32=51
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[32, 13, 15], Operations: ['83-68=15']
Exploring Operation: 15-13=2, Resulting Numbers: [32, 2]
Generated Node #0,0,0: 60:[32, 2] Operation: 15-13=2
Exploring Operation: 32-15=17, Resulting Numbers: [13, 17]
Generated Node #0,0,1: 60:[13, 17] Operation: 32-15=17
Exploring Operation: 32-13=19, Resulting Numbers: [15, 19]
Generated Node #0,0,2: 60:[15, 19] Operation: 32-13=19
Exploring Operation: 13+15=28, Resulting Numbers: [32, 28]
Generated Node #0,0,3: 60:[32, 28] Operation: 13+15=28
Moving to Node #0,0,2
Current State: 60:[15, 19], Operations: ['83-68=15', '32-13=19']
Exploring Operation: 15*19=285, Resulting Numbers: [285]
285,60 unequal: No Solution
Exploring Operation: 19-15=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 15+19=34, Resulting Numbers: [34]
34,60 unequal: No Solution
Moving to Node #0,0,0
Current State: 60:[32, 2], Operations: ['83-68=15', '15-13=2']
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,60 unequal: No Solution
Exploring Operation: 32*2=64, Resulting Numbers: [64]
64,60 unequal: No Solution
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,60 unequal: No Solution
Moving to Node #0,0,1
Current State: 60:[13, 17], Operations: ['83-68=15', '32-15=17']
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 13+17=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Exploring Operation: 13*17=221, Resulting Numbers: [221]
221,60 unequal: No Solution
Moving to Node #0,0,3
Current State: 60:[32, 28], Operations: ['83-68=15', '13+15=28']
Exploring Operation: 32+28=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[32, 83, 13, 68], Operations: []
Exploring Operation: 83-68=15, Resulting Numbers: [32, 13, 15]
Generated Node #0,0: 60:[32, 13, 15] Operation: 83-68=15
Moving to Node #0,0
Current State: 60:[32, 13, 15], Operations: ['83-68=15']
Exploring Operation: 13+15=28, Resulting Numbers: [32, 28]
Generated Node #0,0,3: 60:[32, 28] Operation: 13+15=28
Moving to Node #0,0,3
Current State: 60:[32, 28], Operations: ['83-68=15', '13+15=28']
Exploring Operation: 32+28=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_4 | mult_heuristic |
[
89,
82,
66,
67
] | 79 | [
"89-67=22",
"66/22=3",
"82-3=79"
] | Current State: 79:[89, 82, 66, 67], Operations: []
Exploring Operation: 89-67=22, Resulting Numbers: [82, 66, 22]
Generated Node #2: [82, 66, 22] from Operation: 89-67=22
Current State: 79:[82, 66, 22], Operations: ['89-67=22']
Exploring Operation: 66/22=3, Resulting Numbers: [82, 3]
Generated Node #3: [82, 3] from Operation: 66/22=3
Current State: 79:[82, 3], Operations: ['89-67=22', '66/22=3']
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[89, 82, 66, 67], Operations: []
Exploring Operation: 89-67=22, Resulting Numbers: [82, 66, 22]
Generated Node #0,0: 79:[82, 66, 22] Operation: 89-67=22
Exploring Operation: 82-66=16, Resulting Numbers: [89, 67, 16]
Generated Node #0,1: 79:[89, 67, 16] Operation: 82-66=16
Exploring Operation: 66+67=133, Resulting Numbers: [89, 82, 133]
Generated Node #0,2: 79:[89, 82, 133] Operation: 66+67=133
Exploring Operation: 89-66=23, Resulting Numbers: [82, 67, 23]
Generated Node #0,3: 79:[82, 67, 23] Operation: 89-66=23
Moving to Node #0,2
Current State: 79:[89, 82, 133], Operations: ['66+67=133']
Exploring Operation: 133-89=44, Resulting Numbers: [82, 44]
Generated Node #0,2,0: 79:[82, 44] Operation: 133-89=44
Exploring Operation: 89-82=7, Resulting Numbers: [133, 7]
Generated Node #0,2,1: 79:[133, 7] Operation: 89-82=7
Exploring Operation: 133-82=51, Resulting Numbers: [89, 51]
Generated Node #0,2,2: 79:[89, 51] Operation: 133-82=51
Exploring Operation: 89+82=171, Resulting Numbers: [133, 171]
Generated Node #0,2,3: 79:[133, 171] Operation: 89+82=171
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 79:[82, 44], Operations: ['66+67=133', '133-89=44']
Exploring Operation: 82+44=126, Resulting Numbers: [126]
126,79 unequal: No Solution
Exploring Operation: 82-44=38, Resulting Numbers: [38]
38,79 unequal: No Solution
Exploring Operation: 82*44=3608, Resulting Numbers: [3608]
3608,79 unequal: No Solution
No 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: 79:[89, 51], Operations: ['66+67=133', '133-82=51']
Exploring Operation: 89*51=4539, Resulting Numbers: [4539]
4539,79 unequal: No Solution
Exploring Operation: 89-51=38, Resulting Numbers: [38]
38,79 unequal: No Solution
Exploring Operation: 89+51=140, Resulting Numbers: [140]
140,79 unequal: No Solution
No 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: 79:[133, 7], Operations: ['66+67=133', '89-82=7']
Exploring Operation: 133*7=931, Resulting Numbers: [931]
931,79 unequal: No Solution
Exploring Operation: 133/7=19, Resulting Numbers: [19]
19,79 unequal: No Solution
Exploring Operation: 133-7=126, Resulting Numbers: [126]
126,79 unequal: No Solution
Exploring Operation: 133+7=140, Resulting Numbers: [140]
140,79 unequal: No Solution
No 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: 79:[133, 171], Operations: ['66+67=133', '89+82=171']
Exploring Operation: 133*171=22743, Resulting Numbers: [22743]
22743,79 unequal: No Solution
Exploring Operation: 133+171=304, Resulting Numbers: [304]
304,79 unequal: No Solution
Exploring Operation: 171-133=38, Resulting Numbers: [38]
38,79 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: 79:[82, 67, 23], Operations: ['89-66=23']
Exploring Operation: 82-23=59, Resulting Numbers: [67, 59]
Generated Node #0,3,0: 79:[67, 59] Operation: 82-23=59
Exploring Operation: 82+23=105, Resulting Numbers: [67, 105]
Generated Node #0,3,1: 79:[67, 105] Operation: 82+23=105
Exploring Operation: 67-23=44, Resulting Numbers: [82, 44]
Generated Node #0,3,2: 79:[82, 44] Operation: 67-23=44
Exploring Operation: 67+23=90, Resulting Numbers: [82, 90]
Generated Node #0,3,3: 79:[82, 90] Operation: 67+23=90
Moving to Node #0,0
Current State: 79:[82, 66, 22], Operations: ['89-67=22']
Exploring Operation: 66+22=88, Resulting Numbers: [82, 88]
Generated Node #0,0,0: 79:[82, 88] Operation: 66+22=88
Exploring Operation: 82+22=104, Resulting Numbers: [66, 104]
Generated Node #0,0,1: 79:[66, 104] Operation: 82+22=104
Exploring Operation: 82-22=60, Resulting Numbers: [66, 60]
Generated Node #0,0,2: 79:[66, 60] Operation: 82-22=60
Exploring Operation: 66-22=44, Resulting Numbers: [82, 44]
Generated Node #0,0,3: 79:[82, 44] Operation: 66-22=44
Moving to Node #0,1
Current State: 79:[89, 67, 16], Operations: ['82-66=16']
Exploring Operation: 89-16=73, Resulting Numbers: [67, 73]
Generated Node #0,1,0: 79:[67, 73] Operation: 89-16=73
Exploring Operation: 89+16=105, Resulting Numbers: [67, 105]
Generated Node #0,1,1: 79:[67, 105] Operation: 89+16=105
Exploring Operation: 67-16=51, Resulting Numbers: [89, 51]
Generated Node #0,1,2: 79:[89, 51] Operation: 67-16=51
Exploring Operation: 67+16=83, Resulting Numbers: [89, 83]
Generated Node #0,1,3: 79:[89, 83] Operation: 67+16=83
Moving to Node #0,0,0
Current State: 79:[82, 88], Operations: ['89-67=22', '66+22=88']
Exploring Operation: 82+88=170, Resulting Numbers: [170]
170,79 unequal: No Solution
Exploring Operation: 88-82=6, Resulting Numbers: [6]
6,79 unequal: No Solution
Exploring Operation: 82*88=7216, Resulting Numbers: [7216]
7216,79 unequal: No Solution
Moving to Node #0,3,3
Current State: 79:[82, 90], Operations: ['89-66=23', '67+23=90']
Exploring Operation: 82+90=172, Resulting Numbers: [172]
172,79 unequal: No Solution
Exploring Operation: 82*90=7380, Resulting Numbers: [7380]
7380,79 unequal: No Solution
Exploring Operation: 90-82=8, Resulting Numbers: [8]
8,79 unequal: No Solution
Moving to Node #0,1,3
Current State: 79:[89, 83], Operations: ['82-66=16', '67+16=83']
Exploring Operation: 89+83=172, Resulting Numbers: [172]
172,79 unequal: No Solution
Exploring Operation: 89-83=6, Resulting Numbers: [6]
6,79 unequal: No Solution
Exploring Operation: 89*83=7387, Resulting Numbers: [7387]
7387,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[67, 73], Operations: ['82-66=16', '89-16=73']
Exploring Operation: 67+73=140, Resulting Numbers: [140]
140,79 unequal: No Solution
Exploring Operation: 67*73=4891, Resulting Numbers: [4891]
4891,79 unequal: No Solution
Exploring Operation: 73-67=6, Resulting Numbers: [6]
6,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[66, 60], Operations: ['89-67=22', '82-22=60']
Exploring Operation: 66+60=126, Resulting Numbers: [126]
126,79 unequal: No Solution
Exploring Operation: 66*60=3960, Resulting Numbers: [3960]
3960,79 unequal: No Solution
Exploring Operation: 66-60=6, Resulting Numbers: [6]
6,79 unequal: No Solution
Moving to Node #0,3,0
Current State: 79:[67, 59], Operations: ['89-66=23', '82-23=59']
Exploring Operation: 67+59=126, Resulting Numbers: [126]
126,79 unequal: No Solution
Exploring Operation: 67*59=3953, Resulting Numbers: [3953]
3953,79 unequal: No Solution
Exploring Operation: 67-59=8, Resulting Numbers: [8]
8,79 unequal: No Solution
Moving to Node #0,0,1
Current State: 79:[66, 104], Operations: ['89-67=22', '82+22=104']
Exploring Operation: 66+104=170, Resulting Numbers: [170]
170,79 unequal: No Solution
Exploring Operation: 104-66=38, Resulting Numbers: [38]
38,79 unequal: No Solution
Exploring Operation: 66*104=6864, Resulting Numbers: [6864]
6864,79 unequal: No Solution
Moving to Node #0,3,1
Current State: 79:[67, 105], Operations: ['89-66=23', '82+23=105']
Exploring Operation: 67*105=7035, Resulting Numbers: [7035]
7035,79 unequal: No Solution
Exploring Operation: 67+105=172, Resulting Numbers: [172]
172,79 unequal: No Solution
Exploring Operation: 105-67=38, Resulting Numbers: [38]
38,79 unequal: No Solution
Moving to Node #0,1,2
Current State: 79:[89, 51], Operations: ['82-66=16', '67-16=51']
Exploring Operation: 89*51=4539, Resulting Numbers: [4539]
4539,79 unequal: No Solution
Exploring Operation: 89-51=38, Resulting Numbers: [38]
38,79 unequal: No Solution
Exploring Operation: 89+51=140, Resulting Numbers: [140]
140,79 unequal: No Solution
Moving to Node #0,0,3
Current State: 79:[82, 44], Operations: ['89-67=22', '66-22=44']
Exploring Operation: 82*44=3608, Resulting Numbers: [3608]
3608,79 unequal: No Solution
Exploring Operation: 82-44=38, Resulting Numbers: [38]
38,79 unequal: No Solution
Exploring Operation: 82+44=126, Resulting Numbers: [126]
126,79 unequal: No Solution
Moving to Node #0,1,1
Current State: 79:[67, 105], Operations: ['82-66=16', '89+16=105']
Exploring Operation: 67+105=172, Resulting Numbers: [172]
172,79 unequal: No Solution
Exploring Operation: 105-67=38, Resulting Numbers: [38]
38,79 unequal: No Solution
Exploring Operation: 67*105=7035, Resulting Numbers: [7035]
7035,79 unequal: No Solution
Moving to Node #0,3,2
Current State: 79:[82, 44], Operations: ['89-66=23', '67-23=44']
Exploring Operation: 82+44=126, Resulting Numbers: [126]
126,79 unequal: No Solution
Exploring Operation: 82*44=3608, Resulting Numbers: [3608]
3608,79 unequal: No Solution
Exploring Operation: 82-44=38, Resulting Numbers: [38]
38,79 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
83,
3,
37,
39
] | 95 | [
"83-39=44",
"3*44=132",
"132-37=95"
] | Current State: 95:[83, 3, 37, 39], Operations: []
Exploring Operation: 83-39=44, Resulting Numbers: [3, 37, 44]
Generated Node #2: [3, 37, 44] from Operation: 83-39=44
Current State: 95:[3, 37, 44], Operations: ['83-39=44']
Exploring Operation: 3*44=132, Resulting Numbers: [37, 132]
Generated Node #3: [37, 132] from Operation: 3*44=132
Current State: 95:[37, 132], Operations: ['83-39=44', '3*44=132']
Exploring Operation: 132-37=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[83, 3, 37, 39], Operations: []
Exploring Operation: 37+39=76, Resulting Numbers: [83, 3, 76]
Generated Node #0,0: 95:[83, 3, 76] Operation: 37+39=76
Exploring Operation: 39-37=2, Resulting Numbers: [83, 3, 2]
Generated Node #0,1: 95:[83, 3, 2] Operation: 39-37=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 95:[83, 3, 2], Operations: ['39-37=2']
Exploring Operation: 83+2=85, Resulting Numbers: [3, 85]
Generated Node #0,1,0: 95:[3, 85] Operation: 83+2=85
Exploring Operation: 83+3=86, Resulting Numbers: [2, 86]
Generated Node #0,1,1: 95:[2, 86] Operation: 83+3=86
Moving to Node #0,1,0
Current State: 95:[3, 85], Operations: ['39-37=2', '83+2=85']
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,95 unequal: No Solution
Exploring Operation: 3+85=88, Resulting Numbers: [88]
88,95 unequal: No Solution
Moving to Node #0,1,1
Current State: 95:[2, 86], Operations: ['39-37=2', '83+3=86']
Exploring Operation: 2+86=88, Resulting Numbers: [88]
88,95 unequal: No Solution
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[83, 3, 76], Operations: ['37+39=76']
Exploring Operation: 83+3=86, Resulting Numbers: [76, 86]
Generated Node #0,0,0: 95:[76, 86] Operation: 83+3=86
Exploring Operation: 83-76=7, Resulting Numbers: [3, 7]
Generated Node #0,0,1: 95:[3, 7] Operation: 83-76=7
Moving to Node #0,0,1
Current State: 95:[3, 7], Operations: ['37+39=76', '83-76=7']
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,95 unequal: No Solution
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,95 unequal: No Solution
Moving to Node #0,0,0
Current State: 95:[76, 86], Operations: ['37+39=76', '83+3=86']
Exploring Operation: 86-76=10, Resulting Numbers: [10]
10,95 unequal: No Solution
Exploring Operation: 76+86=162, Resulting Numbers: [162]
162,95 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 |
[
63,
74,
67,
3
] | 59 | [
"74-63=11",
"67+3=70",
"70-11=59"
] | Current State: 59:[63, 74, 67, 3], Operations: []
Exploring Operation: 74-63=11, Resulting Numbers: [67, 3, 11]
Generated Node #2: [67, 3, 11] from Operation: 74-63=11
Current State: 59:[67, 3, 11], Operations: ['74-63=11']
Exploring Operation: 67+3=70, Resulting Numbers: [11, 70]
Generated Node #3: [11, 70] from Operation: 67+3=70
Current State: 59:[11, 70], Operations: ['74-63=11', '67+3=70']
Exploring Operation: 70-11=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[63, 74, 67, 3], Operations: []
Exploring Operation: 63-3=60, Resulting Numbers: [74, 67, 60]
Generated Node #0,0: 59:[74, 67, 60] Operation: 63-3=60
Exploring Operation: 74-3=71, Resulting Numbers: [63, 67, 71]
Generated Node #0,1: 59:[63, 67, 71] Operation: 74-3=71
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[74, 67, 60], Operations: ['63-3=60']
Exploring Operation: 74-60=14, Resulting Numbers: [67, 14]
Generated Node #0,0,0: 59:[67, 14] Operation: 74-60=14
Exploring Operation: 74-67=7, Resulting Numbers: [60, 7]
Generated Node #0,0,1: 59:[60, 7] Operation: 74-67=7
Moving to Node #0,0,0
Current State: 59:[67, 14], Operations: ['63-3=60', '74-60=14']
Exploring Operation: 67+14=81, Resulting Numbers: [81]
81,59 unequal: No Solution
Exploring Operation: 67-14=53, Resulting Numbers: [53]
53,59 unequal: No Solution
Moving to Node #0,0,1
Current State: 59:[60, 7], Operations: ['63-3=60', '74-67=7']
Exploring Operation: 60-7=53, Resulting Numbers: [53]
53,59 unequal: No Solution
Exploring Operation: 60+7=67, Resulting Numbers: [67]
67,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[63, 67, 71], Operations: ['74-3=71']
Exploring Operation: 71-67=4, Resulting Numbers: [63, 4]
Generated Node #0,1,0: 59:[63, 4] Operation: 71-67=4
Exploring Operation: 71-63=8, Resulting Numbers: [67, 8]
Generated Node #0,1,1: 59:[67, 8] Operation: 71-63=8
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 59:[63, 4], Operations: ['74-3=71', '71-67=4']
Exploring Operation: 63+4=67, Resulting Numbers: [67]
67,59 unequal: No Solution
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[63, 74, 67, 3], Operations: []
Exploring Operation: 74-3=71, Resulting Numbers: [63, 67, 71]
Generated Node #0,1: 59:[63, 67, 71] Operation: 74-3=71
Moving to Node #0,1
Current State: 59:[63, 67, 71], Operations: ['74-3=71']
Exploring Operation: 71-67=4, Resulting Numbers: [63, 4]
Generated Node #0,1,0: 59:[63, 4] Operation: 71-67=4
Moving to Node #0,1,0
Current State: 59:[63, 4], Operations: ['74-3=71', '71-67=4']
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_2 | sum_heuristic |
[
91,
88,
80,
93
] | 55 | [
"91-80=11",
"93-88=5",
"11*5=55"
] | Current State: 55:[91, 88, 80, 93], Operations: []
Exploring Operation: 91-80=11, Resulting Numbers: [88, 93, 11]
Generated Node #2: [88, 93, 11] from Operation: 91-80=11
Current State: 55:[88, 93, 11], Operations: ['91-80=11']
Exploring Operation: 93-88=5, Resulting Numbers: [11, 5]
Generated Node #3: [11, 5] from Operation: 93-88=5
Current State: 55:[11, 5], Operations: ['91-80=11', '93-88=5']
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[91, 88, 80, 93], Operations: []
Exploring Operation: 93-91=2, Resulting Numbers: [88, 80, 2]
Generated Node #0,0: 55:[88, 80, 2] Operation: 93-91=2
Exploring Operation: 93-88=5, Resulting Numbers: [91, 80, 5]
Generated Node #0,1: 55:[91, 80, 5] Operation: 93-88=5
Moving to Node #0,0
Current State: 55:[88, 80, 2], Operations: ['93-91=2']
Exploring Operation: 88/2=44, Resulting Numbers: [80, 44]
Generated Node #0,0,0: 55:[80, 44] Operation: 88/2=44
Exploring Operation: 88-80=8, Resulting Numbers: [2, 8]
Generated Node #0,0,1: 55:[2, 8] Operation: 88-80=8
Moving to Node #0,1
Current State: 55:[91, 80, 5], Operations: ['93-88=5']
Exploring Operation: 80/5=16, Resulting Numbers: [91, 16]
Generated Node #0,1,0: 55:[91, 16] Operation: 80/5=16
Exploring Operation: 91-80=11, Resulting Numbers: [5, 11]
Generated Node #0,1,1: 55:[5, 11] Operation: 91-80=11
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 55:[5, 11], Operations: ['93-88=5', '91-80=11']
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,55 unequal: No Solution
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[91, 88, 80, 93], Operations: []
Exploring Operation: 93-88=5, Resulting Numbers: [91, 80, 5]
Generated Node #0,1: 55:[91, 80, 5] Operation: 93-88=5
Moving to Node #0,1
Current State: 55:[91, 80, 5], Operations: ['93-88=5']
Exploring Operation: 91-80=11, Resulting Numbers: [5, 11]
Generated Node #0,1,1: 55:[5, 11] Operation: 91-80=11
Moving to Node #0,1,1
Current State: 55:[5, 11], Operations: ['93-88=5', '91-80=11']
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
[
86,
30,
17,
23
] | 27 | [
"86-17=69",
"69/23=3",
"30-3=27"
] | Current State: 27:[86, 30, 17, 23], Operations: []
Exploring Operation: 86-17=69, Resulting Numbers: [30, 23, 69]
Generated Node #2: [30, 23, 69] from Operation: 86-17=69
Current State: 27:[30, 23, 69], Operations: ['86-17=69']
Exploring Operation: 69/23=3, Resulting Numbers: [30, 3]
Generated Node #3: [30, 3] from Operation: 69/23=3
Current State: 27:[30, 3], Operations: ['86-17=69', '69/23=3']
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[86, 30, 17, 23], Operations: []
Exploring Operation: 86-30=56, Resulting Numbers: [17, 23, 56]
Generated Node #0,0: 27:[17, 23, 56] Operation: 86-30=56
Exploring Operation: 86-17=69, Resulting Numbers: [30, 23, 69]
Generated Node #0,1: 27:[30, 23, 69] Operation: 86-17=69
Exploring Operation: 86-23=63, Resulting Numbers: [30, 17, 63]
Generated Node #0,2: 27:[30, 17, 63] Operation: 86-23=63
Moving to Node #0,0
Current State: 27:[17, 23, 56], Operations: ['86-30=56']
Exploring Operation: 56-17=39, Resulting Numbers: [23, 39]
Generated Node #0,0,0: 27:[23, 39] Operation: 56-17=39
Exploring Operation: 56-23=33, Resulting Numbers: [17, 33]
Generated Node #0,0,1: 27:[17, 33] Operation: 56-23=33
Exploring Operation: 23-17=6, Resulting Numbers: [56, 6]
Generated Node #0,0,2: 27:[56, 6] Operation: 23-17=6
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 27:[17, 33], Operations: ['86-30=56', '56-23=33']
Exploring Operation: 17+33=50, Resulting Numbers: [50]
50,27 unequal: No Solution
Exploring Operation: 17*33=561, Resulting Numbers: [561]
561,27 unequal: No Solution
Exploring Operation: 33-17=16, Resulting Numbers: [16]
16,27 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 #0,0,0
Current State: 27:[23, 39], Operations: ['86-30=56', '56-17=39']
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,27 unequal: No Solution
Exploring Operation: 23+39=62, Resulting Numbers: [62]
62,27 unequal: No Solution
Exploring Operation: 23*39=897, Resulting Numbers: [897]
897,27 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 #0,0,2
Current State: 27:[56, 6], Operations: ['86-30=56', '23-17=6']
Exploring Operation: 56*6=336, Resulting Numbers: [336]
336,27 unequal: No Solution
Exploring Operation: 56+6=62, Resulting Numbers: [62]
62,27 unequal: No Solution
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 27:[30, 17, 63], Operations: ['86-23=63']
Exploring Operation: 63-30=33, Resulting Numbers: [17, 33]
Generated Node #0,2,0: 27:[17, 33] Operation: 63-30=33
Exploring Operation: 30-17=13, Resulting Numbers: [63, 13]
Generated Node #0,2,1: 27:[63, 13] Operation: 30-17=13
Exploring Operation: 63-17=46, Resulting Numbers: [30, 46]
Generated Node #0,2,2: 27:[30, 46] Operation: 63-17=46
Moving to Node #0,1
Current State: 27:[30, 23, 69], Operations: ['86-17=69']
Exploring Operation: 69/23=3, Resulting Numbers: [30, 3]
Generated Node #0,1,0: 27:[30, 3] Operation: 69/23=3
Exploring Operation: 69-23=46, Resulting Numbers: [30, 46]
Generated Node #0,1,1: 27:[30, 46] Operation: 69-23=46
Exploring Operation: 69-30=39, Resulting Numbers: [23, 39]
Generated Node #0,1,2: 27:[23, 39] Operation: 69-30=39
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 27:[30, 3], Operations: ['86-17=69', '69/23=3']
Exploring Operation: 30+3=33, Resulting Numbers: [33]
33,27 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[86, 30, 17, 23], Operations: []
Exploring Operation: 86-17=69, Resulting Numbers: [30, 23, 69]
Generated Node #0,1: 27:[30, 23, 69] Operation: 86-17=69
Moving to Node #0,1
Current State: 27:[30, 23, 69], Operations: ['86-17=69']
Exploring Operation: 69/23=3, Resulting Numbers: [30, 3]
Generated Node #0,1,0: 27:[30, 3] Operation: 69/23=3
Moving to Node #0,1,0
Current State: 27:[30, 3], Operations: ['86-17=69', '69/23=3']
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_3 | sum_heuristic |
[
85,
70,
99,
92
] | 97 | [
"99-85=14",
"70/14=5",
"92+5=97"
] | Current State: 97:[85, 70, 99, 92], Operations: []
Exploring Operation: 99-85=14, Resulting Numbers: [70, 92, 14]
Generated Node #2: [70, 92, 14] from Operation: 99-85=14
Current State: 97:[70, 92, 14], Operations: ['99-85=14']
Exploring Operation: 70/14=5, Resulting Numbers: [92, 5]
Generated Node #3: [92, 5] from Operation: 70/14=5
Current State: 97:[92, 5], Operations: ['99-85=14', '70/14=5']
Exploring Operation: 92+5=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[85, 70, 99, 92], Operations: []
Exploring Operation: 99-70=29, Resulting Numbers: [85, 92, 29]
Generated Node #0,0: 97:[85, 92, 29] Operation: 99-70=29
Exploring Operation: 85-70=15, Resulting Numbers: [99, 92, 15]
Generated Node #0,1: 97:[99, 92, 15] Operation: 85-70=15
Exploring Operation: 85+70=155, Resulting Numbers: [99, 92, 155]
Generated Node #0,2: 97:[99, 92, 155] Operation: 85+70=155
Exploring Operation: 70+92=162, Resulting Numbers: [85, 99, 162]
Generated Node #0,3: 97:[85, 99, 162] Operation: 70+92=162
Moving to Node #0,2
Current State: 97:[99, 92, 155], Operations: ['85+70=155']
Exploring Operation: 155-92=63, Resulting Numbers: [99, 63]
Generated Node #0,2,0: 97:[99, 63] Operation: 155-92=63
Exploring Operation: 99+92=191, Resulting Numbers: [155, 191]
Generated Node #0,2,1: 97:[155, 191] Operation: 99+92=191
Exploring Operation: 99-92=7, Resulting Numbers: [155, 7]
Generated Node #0,2,2: 97:[155, 7] Operation: 99-92=7
Exploring Operation: 155-99=56, Resulting Numbers: [92, 56]
Generated Node #0,2,3: 97:[92, 56] Operation: 155-99=56
Moving to Node #0,3
Current State: 97:[85, 99, 162], Operations: ['70+92=162']
Exploring Operation: 99-85=14, Resulting Numbers: [162, 14]
Generated Node #0,3,0: 97:[162, 14] Operation: 99-85=14
Exploring Operation: 85+99=184, Resulting Numbers: [162, 184]
Generated Node #0,3,1: 97:[162, 184] Operation: 85+99=184
Exploring Operation: 162-99=63, Resulting Numbers: [85, 63]
Generated Node #0,3,2: 97:[85, 63] Operation: 162-99=63
Exploring Operation: 162-85=77, Resulting Numbers: [99, 77]
Generated Node #0,3,3: 97:[99, 77] Operation: 162-85=77
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 97:[99, 77], Operations: ['70+92=162', '162-85=77']
Exploring Operation: 99-77=22, Resulting Numbers: [22]
22,97 unequal: No Solution
Exploring Operation: 99+77=176, Resulting Numbers: [176]
176,97 unequal: No Solution
Exploring Operation: 99*77=7623, Resulting Numbers: [7623]
7623,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 97:[85, 63], Operations: ['70+92=162', '162-99=63']
Exploring Operation: 85-63=22, Resulting Numbers: [22]
22,97 unequal: No Solution
Exploring Operation: 85*63=5355, Resulting Numbers: [5355]
5355,97 unequal: No Solution
Exploring Operation: 85+63=148, Resulting Numbers: [148]
148,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 97:[162, 14], Operations: ['70+92=162', '99-85=14']
Exploring Operation: 162+14=176, Resulting Numbers: [176]
176,97 unequal: No Solution
Exploring Operation: 162-14=148, Resulting Numbers: [148]
148,97 unequal: No Solution
Exploring Operation: 162*14=2268, Resulting Numbers: [2268]
2268,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 97:[162, 184], Operations: ['70+92=162', '85+99=184']
Exploring Operation: 184-162=22, Resulting Numbers: [22]
22,97 unequal: No Solution
Exploring Operation: 162+184=346, Resulting Numbers: [346]
346,97 unequal: No Solution
Exploring Operation: 162*184=29808, Resulting Numbers: [29808]
29808,97 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: 97:[85, 92, 29], Operations: ['99-70=29']
Exploring Operation: 85+29=114, Resulting Numbers: [92, 114]
Generated Node #0,0,0: 97:[92, 114] Operation: 85+29=114
Exploring Operation: 92+29=121, Resulting Numbers: [85, 121]
Generated Node #0,0,1: 97:[85, 121] Operation: 92+29=121
Exploring Operation: 85-29=56, Resulting Numbers: [92, 56]
Generated Node #0,0,2: 97:[92, 56] Operation: 85-29=56
Exploring Operation: 92-29=63, Resulting Numbers: [85, 63]
Generated Node #0,0,3: 97:[85, 63] Operation: 92-29=63
Moving to Node #0,1
Current State: 97:[99, 92, 15], Operations: ['85-70=15']
Exploring Operation: 99+15=114, Resulting Numbers: [92, 114]
Generated Node #0,1,0: 97:[92, 114] Operation: 99+15=114
Exploring Operation: 99-15=84, Resulting Numbers: [92, 84]
Generated Node #0,1,1: 97:[92, 84] Operation: 99-15=84
Exploring Operation: 92-15=77, Resulting Numbers: [99, 77]
Generated Node #0,1,2: 97:[99, 77] Operation: 92-15=77
Exploring Operation: 92+15=107, Resulting Numbers: [99, 107]
Generated Node #0,1,3: 97:[99, 107] Operation: 92+15=107
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 97:[99, 107], Operations: ['85-70=15', '92+15=107']
Exploring Operation: 99+107=206, Resulting Numbers: [206]
206,97 unequal: No Solution
Exploring Operation: 99*107=10593, Resulting Numbers: [10593]
10593,97 unequal: No Solution
Exploring Operation: 107-99=8, Resulting Numbers: [8]
8,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 97:[92, 84], Operations: ['85-70=15', '99-15=84']
Exploring Operation: 92*84=7728, Resulting Numbers: [7728]
7728,97 unequal: No Solution
Exploring Operation: 92-84=8, Resulting Numbers: [8]
8,97 unequal: No Solution
Exploring Operation: 92+84=176, Resulting Numbers: [176]
176,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 97:[92, 114], Operations: ['85-70=15', '99+15=114']
Exploring Operation: 92*114=10488, Resulting Numbers: [10488]
10488,97 unequal: No Solution
Exploring Operation: 114-92=22, Resulting Numbers: [22]
22,97 unequal: No Solution
Exploring Operation: 92+114=206, Resulting Numbers: [206]
206,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 97:[99, 77], Operations: ['85-70=15', '92-15=77']
Exploring Operation: 99-77=22, Resulting Numbers: [22]
22,97 unequal: No Solution
Exploring Operation: 99+77=176, Resulting Numbers: [176]
176,97 unequal: No Solution
Exploring Operation: 99*77=7623, Resulting Numbers: [7623]
7623,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 97:[92, 114], Operations: ['99-70=29', '85+29=114']
Exploring Operation: 92+114=206, Resulting Numbers: [206]
206,97 unequal: No Solution
Exploring Operation: 92*114=10488, Resulting Numbers: [10488]
10488,97 unequal: No Solution
Exploring Operation: 114-92=22, Resulting Numbers: [22]
22,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[85, 121], Operations: ['99-70=29', '92+29=121']
Exploring Operation: 121-85=36, Resulting Numbers: [36]
36,97 unequal: No Solution
Exploring Operation: 85*121=10285, Resulting Numbers: [10285]
10285,97 unequal: No Solution
Exploring Operation: 85+121=206, Resulting Numbers: [206]
206,97 unequal: No Solution
Moving to Node #0,2,0
Current State: 97:[99, 63], Operations: ['85+70=155', '155-92=63']
Exploring Operation: 99*63=6237, Resulting Numbers: [6237]
6237,97 unequal: No Solution
Exploring Operation: 99-63=36, Resulting Numbers: [36]
36,97 unequal: No Solution
Exploring Operation: 99+63=162, Resulting Numbers: [162]
162,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[92, 56], Operations: ['99-70=29', '85-29=56']
Exploring Operation: 92+56=148, Resulting Numbers: [148]
148,97 unequal: No Solution
Exploring Operation: 92-56=36, Resulting Numbers: [36]
36,97 unequal: No Solution
Exploring Operation: 92*56=5152, Resulting Numbers: [5152]
5152,97 unequal: No Solution
Moving to Node #0,2,3
Current State: 97:[92, 56], Operations: ['85+70=155', '155-99=56']
Exploring Operation: 92-56=36, Resulting Numbers: [36]
36,97 unequal: No Solution
Exploring Operation: 92*56=5152, Resulting Numbers: [5152]
5152,97 unequal: No Solution
Exploring Operation: 92+56=148, Resulting Numbers: [148]
148,97 unequal: No Solution
Moving to Node #0,0,3
Current State: 97:[85, 63], Operations: ['99-70=29', '92-29=63']
Exploring Operation: 85+63=148, Resulting Numbers: [148]
148,97 unequal: No Solution
Exploring Operation: 85-63=22, Resulting Numbers: [22]
22,97 unequal: No Solution
Exploring Operation: 85*63=5355, Resulting Numbers: [5355]
5355,97 unequal: No Solution
Moving to Node #0,2,2
Current State: 97:[155, 7], Operations: ['85+70=155', '99-92=7']
Exploring Operation: 155+7=162, Resulting Numbers: [162]
162,97 unequal: No Solution
Exploring Operation: 155*7=1085, Resulting Numbers: [1085]
1085,97 unequal: No Solution
Exploring Operation: 155-7=148, Resulting Numbers: [148]
148,97 unequal: No Solution
Moving to Node #0,2,1
Current State: 97:[155, 191], Operations: ['85+70=155', '99+92=191']
Exploring Operation: 191-155=36, Resulting Numbers: [36]
36,97 unequal: No Solution
Exploring Operation: 155*191=29605, Resulting Numbers: [29605]
29605,97 unequal: No Solution
Exploring Operation: 155+191=346, Resulting Numbers: [346]
346,97 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
95,
45,
80,
38
] | 62 | [
"45*38=1710",
"1710/95=18",
"80-18=62"
] | Current State: 62:[95, 45, 80, 38], Operations: []
Exploring Operation: 45*38=1710, Resulting Numbers: [95, 80, 1710]
Generated Node #2: [95, 80, 1710] from Operation: 45*38=1710
Current State: 62:[95, 80, 1710], Operations: ['45*38=1710']
Exploring Operation: 1710/95=18, Resulting Numbers: [80, 18]
Generated Node #3: [80, 18] from Operation: 1710/95=18
Current State: 62:[80, 18], Operations: ['45*38=1710', '1710/95=18']
Exploring Operation: 80-18=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[95, 45, 80, 38], Operations: []
Exploring Operation: 95-80=15, Resulting Numbers: [45, 38, 15]
Generated Node #0,0: 62:[45, 38, 15] Operation: 95-80=15
Exploring Operation: 95-38=57, Resulting Numbers: [45, 80, 57]
Generated Node #0,1: 62:[45, 80, 57] Operation: 95-38=57
Exploring Operation: 95-45=50, Resulting Numbers: [80, 38, 50]
Generated Node #0,2: 62:[80, 38, 50] Operation: 95-45=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[45, 38, 15], Operations: ['95-80=15']
Exploring Operation: 45-15=30, Resulting Numbers: [38, 30]
Generated Node #0,0,0: 62:[38, 30] Operation: 45-15=30
Exploring Operation: 45/15=3, Resulting Numbers: [38, 3]
Generated Node #0,0,1: 62:[38, 3] Operation: 45/15=3
Exploring Operation: 45+15=60, Resulting Numbers: [38, 60]
Generated Node #0,0,2: 62:[38, 60] Operation: 45+15=60
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 62:[38, 30], Operations: ['95-80=15', '45-15=30']
Exploring Operation: 38*30=1140, Resulting Numbers: [1140]
1140,62 unequal: No Solution
Exploring Operation: 38+30=68, Resulting Numbers: [68]
68,62 unequal: No Solution
Exploring Operation: 38-30=8, Resulting Numbers: [8]
8,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 62:[38, 3], Operations: ['95-80=15', '45/15=3']
Exploring Operation: 38*3=114, Resulting Numbers: [114]
114,62 unequal: No Solution
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,62 unequal: No Solution
Exploring Operation: 38+3=41, Resulting Numbers: [41]
41,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 62:[38, 60], Operations: ['95-80=15', '45+15=60']
Exploring Operation: 60-38=22, Resulting Numbers: [22]
22,62 unequal: No Solution
Exploring Operation: 38+60=98, Resulting Numbers: [98]
98,62 unequal: No Solution
Exploring Operation: 38*60=2280, Resulting Numbers: [2280]
2280,62 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 #0,1
Current State: 62:[45, 80, 57], Operations: ['95-38=57']
Exploring Operation: 80-45=35, Resulting Numbers: [57, 35]
Generated Node #0,1,0: 62:[57, 35] Operation: 80-45=35
Exploring Operation: 57-45=12, Resulting Numbers: [80, 12]
Generated Node #0,1,1: 62:[80, 12] Operation: 57-45=12
Exploring Operation: 80-57=23, Resulting Numbers: [45, 23]
Generated Node #0,1,2: 62:[45, 23] Operation: 80-57=23
Moving to Node #0,1,0
Current State: 62:[57, 35], Operations: ['95-38=57', '80-45=35']
Exploring Operation: 57-35=22, Resulting Numbers: [22]
22,62 unequal: No Solution
Exploring Operation: 57+35=92, Resulting Numbers: [92]
92,62 unequal: No Solution
Exploring Operation: 57*35=1995, Resulting Numbers: [1995]
1995,62 unequal: No Solution
Moving to Node #0,1,2
Current State: 62:[45, 23], Operations: ['95-38=57', '80-57=23']
Exploring Operation: 45-23=22, Resulting Numbers: [22]
22,62 unequal: No Solution
Exploring Operation: 45*23=1035, Resulting Numbers: [1035]
1035,62 unequal: No Solution
Exploring Operation: 45+23=68, Resulting Numbers: [68]
68,62 unequal: No Solution
Moving to Node #0,1,1
Current State: 62:[80, 12], Operations: ['95-38=57', '57-45=12']
Exploring Operation: 80*12=960, Resulting Numbers: [960]
960,62 unequal: No Solution
Exploring Operation: 80-12=68, Resulting Numbers: [68]
68,62 unequal: No Solution
Exploring Operation: 80+12=92, Resulting Numbers: [92]
92,62 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
Current State: 62:[80, 38, 50], Operations: ['95-45=50']
Exploring Operation: 80-38=42, Resulting Numbers: [50, 42]
Generated Node #0,2,0: 62:[50, 42] Operation: 80-38=42
Exploring Operation: 50-38=12, Resulting Numbers: [80, 12]
Generated Node #0,2,1: 62:[80, 12] Operation: 50-38=12
Exploring Operation: 80-50=30, Resulting Numbers: [38, 30]
Generated Node #0,2,2: 62:[38, 30] Operation: 80-50=30
Moving to Node #0,2,2
Current State: 62:[38, 30], Operations: ['95-45=50', '80-50=30']
Exploring Operation: 38*30=1140, Resulting Numbers: [1140]
1140,62 unequal: No Solution
Exploring Operation: 38-30=8, Resulting Numbers: [8]
8,62 unequal: No Solution
Exploring Operation: 38+30=68, Resulting Numbers: [68]
68,62 unequal: No Solution
Moving to Node #0,2,0
Current State: 62:[50, 42], Operations: ['95-45=50', '80-38=42']
Exploring Operation: 50-42=8, Resulting Numbers: [8]
8,62 unequal: No Solution
Exploring Operation: 50+42=92, Resulting Numbers: [92]
92,62 unequal: No Solution
Exploring Operation: 50*42=2100, Resulting Numbers: [2100]
2100,62 unequal: No Solution
Moving to Node #0,2,1
Current State: 62:[80, 12], Operations: ['95-45=50', '50-38=12']
Exploring Operation: 80*12=960, Resulting Numbers: [960]
960,62 unequal: No Solution
Exploring Operation: 80-12=68, Resulting Numbers: [68]
68,62 unequal: No Solution
Exploring Operation: 80+12=92, Resulting Numbers: [92]
92,62 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 |
[
14,
39,
39,
67
] | 54 | [
"67-14=53",
"39/39=1",
"53+1=54"
] | Current State: 54:[14, 39, 39, 67], Operations: []
Exploring Operation: 67-14=53, Resulting Numbers: [39, 39, 53]
Generated Node #2: [39, 39, 53] from Operation: 67-14=53
Current State: 54:[39, 39, 53], Operations: ['67-14=53']
Exploring Operation: 39/39=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 39/39=1
Current State: 54:[53, 1], Operations: ['67-14=53', '39/39=1']
Exploring Operation: 53+1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[14, 39, 39, 67], Operations: []
Exploring Operation: 67-14=53, Resulting Numbers: [39, 39, 53]
Generated Node #0,0: 54:[39, 39, 53] Operation: 67-14=53
Exploring Operation: 39/39=1, Resulting Numbers: [14, 67, 1]
Generated Node #0,1: 54:[14, 67, 1] Operation: 39/39=1
Exploring Operation: 39-39=0, Resulting Numbers: [14, 67, 0]
Generated Node #0,2: 54:[14, 67, 0] Operation: 39-39=0
Exploring Operation: 67-39=28, Resulting Numbers: [14, 39, 28]
Generated Node #0,3: 54:[14, 39, 28] Operation: 67-39=28
Exploring Operation: 67-39=28, Resulting Numbers: [14, 39, 28]
Generated Node #0,4: 54:[14, 39, 28] Operation: 67-39=28
Start Sub Search at level 1: Moving to Node #0,3
Current State: 54:[14, 39, 28], Operations: ['67-39=28']
Exploring Operation: 28/14=2, Resulting Numbers: [39, 2]
Generated Node #0,3,0: 54:[39, 2] Operation: 28/14=2
Exploring Operation: 28-14=14, Resulting Numbers: [39, 14]
Generated Node #0,3,1: 54:[39, 14] Operation: 28-14=14
Exploring Operation: 39-28=11, Resulting Numbers: [14, 11]
Generated Node #0,3,2: 54:[14, 11] Operation: 39-28=11
Exploring Operation: 39-14=25, Resulting Numbers: [28, 25]
Generated Node #0,3,3: 54:[28, 25] Operation: 39-14=25
Exploring Operation: 14+39=53, Resulting Numbers: [28, 53]
Generated Node #0,3,4: 54:[28, 53] Operation: 14+39=53
Moving to Node #0,3,4
Current State: 54:[28, 53], Operations: ['67-39=28', '14+39=53']
Exploring Operation: 28+53=81, Resulting Numbers: [81]
81,54 unequal: No Solution
Exploring Operation: 28*53=1484, Resulting Numbers: [1484]
1484,54 unequal: No Solution
Exploring Operation: 53-28=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Moving to Node #0,3,3
Current State: 54:[28, 25], Operations: ['67-39=28', '39-14=25']
Exploring Operation: 28-25=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 28+25=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Exploring Operation: 28*25=700, Resulting Numbers: [700]
700,54 unequal: No Solution
Moving to Node #0,3,2
Current State: 54:[14, 11], Operations: ['67-39=28', '39-28=11']
Exploring Operation: 14*11=154, Resulting Numbers: [154]
154,54 unequal: No Solution
Exploring Operation: 14+11=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Moving to Node #0,3,0
Current State: 54:[39, 2], Operations: ['67-39=28', '28/14=2']
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,54 unequal: No Solution
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,54 unequal: No Solution
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,54 unequal: No Solution
Moving to Node #0,3,1
Current State: 54:[39, 14], Operations: ['67-39=28', '28-14=14']
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Exploring Operation: 39+14=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Exploring Operation: 39*14=546, Resulting Numbers: [546]
546,54 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 #0,4
Current State: 54:[14, 39, 28], Operations: ['67-39=28']
Exploring Operation: 28/14=2, Resulting Numbers: [39, 2]
Generated Node #0,4,0: 54:[39, 2] Operation: 28/14=2
Exploring Operation: 28-14=14, Resulting Numbers: [39, 14]
Generated Node #0,4,1: 54:[39, 14] Operation: 28-14=14
Exploring Operation: 14+39=53, Resulting Numbers: [28, 53]
Generated Node #0,4,2: 54:[28, 53] Operation: 14+39=53
Exploring Operation: 39-14=25, Resulting Numbers: [28, 25]
Generated Node #0,4,3: 54:[28, 25] Operation: 39-14=25
Exploring Operation: 39-28=11, Resulting Numbers: [14, 11]
Generated Node #0,4,4: 54:[14, 11] Operation: 39-28=11
Moving to Node #0,4,2
Current State: 54:[28, 53], Operations: ['67-39=28', '14+39=53']
Exploring Operation: 28*53=1484, Resulting Numbers: [1484]
1484,54 unequal: No Solution
Exploring Operation: 53-28=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Exploring Operation: 28+53=81, Resulting Numbers: [81]
81,54 unequal: No Solution
Moving to Node #0,4,3
Current State: 54:[28, 25], Operations: ['67-39=28', '39-14=25']
Exploring Operation: 28+25=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Exploring Operation: 28*25=700, Resulting Numbers: [700]
700,54 unequal: No Solution
Exploring Operation: 28-25=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Moving to Node #0,4,4
Current State: 54:[14, 11], Operations: ['67-39=28', '39-28=11']
Exploring Operation: 14*11=154, Resulting Numbers: [154]
154,54 unequal: No Solution
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 14+11=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Moving to Node #0,4,0
Current State: 54:[39, 2], Operations: ['67-39=28', '28/14=2']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,54 unequal: No Solution
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,54 unequal: No Solution
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,54 unequal: No Solution
Moving to Node #0,4,1
Current State: 54:[39, 14], Operations: ['67-39=28', '28-14=14']
Exploring Operation: 39+14=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Exploring Operation: 39*14=546, Resulting Numbers: [546]
546,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 54:[14, 67, 1], Operations: ['39/39=1']
Exploring Operation: 67-14=53, Resulting Numbers: [1, 53]
Generated Node #0,1,0: 54:[1, 53] Operation: 67-14=53
Exploring Operation: 14*1=14, Resulting Numbers: [67, 14]
Generated Node #0,1,1: 54:[67, 14] Operation: 14*1=14
Exploring Operation: 67-1=66, Resulting Numbers: [14, 66]
Generated Node #0,1,2: 54:[14, 66] Operation: 67-1=66
Exploring Operation: 14-1=13, Resulting Numbers: [67, 13]
Generated Node #0,1,3: 54:[67, 13] Operation: 14-1=13
Exploring Operation: 14+1=15, Resulting Numbers: [67, 15]
Generated Node #0,1,4: 54:[67, 15] Operation: 14+1=15
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 54:[1, 53], Operations: ['39/39=1', '67-14=53']
Exploring Operation: 53-1=52, Resulting Numbers: [52]
52,54 unequal: No Solution
Exploring Operation: 1+53=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[14, 39, 39, 67], Operations: []
Exploring Operation: 39/39=1, Resulting Numbers: [14, 67, 1]
Generated Node #0,1: 54:[14, 67, 1] Operation: 39/39=1
Moving to Node #0,1
Current State: 54:[14, 67, 1], Operations: ['39/39=1']
Exploring Operation: 67-14=53, Resulting Numbers: [1, 53]
Generated Node #0,1,0: 54:[1, 53] Operation: 67-14=53
Moving to Node #0,1,0
Current State: 54:[1, 53], Operations: ['39/39=1', '67-14=53']
Exploring Operation: 1+53=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.951389 | hs_5 | sum_heuristic |
[
72,
59,
61,
65
] | 49 | [
"65-59=6",
"72/6=12",
"61-12=49"
] | Current State: 49:[72, 59, 61, 65], Operations: []
Exploring Operation: 65-59=6, Resulting Numbers: [72, 61, 6]
Generated Node #2: [72, 61, 6] from Operation: 65-59=6
Current State: 49:[72, 61, 6], Operations: ['65-59=6']
Exploring Operation: 72/6=12, Resulting Numbers: [61, 12]
Generated Node #3: [61, 12] from Operation: 72/6=12
Current State: 49:[61, 12], Operations: ['65-59=6', '72/6=12']
Exploring Operation: 61-12=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[72, 59, 61, 65], Operations: []
Exploring Operation: 72-65=7, Resulting Numbers: [59, 61, 7]
Generated Node #0,0: 49:[59, 61, 7] Operation: 72-65=7
Moving to Node #0,0
Current State: 49:[59, 61, 7], Operations: ['72-65=7']
Exploring Operation: 61-59=2, Resulting Numbers: [7, 2]
Generated Node #0,0,0: 49:[7, 2] Operation: 61-59=2
Moving to Node #0,0,0
Current State: 49:[7, 2], Operations: ['72-65=7', '61-59=2']
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,49 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
11,
6,
79,
63
] | 76 | [
"11*6=66",
"79+63=142",
"142-66=76"
] | Current State: 76:[11, 6, 79, 63], Operations: []
Exploring Operation: 11*6=66, Resulting Numbers: [79, 63, 66]
Generated Node #2: [79, 63, 66] from Operation: 11*6=66
Current State: 76:[79, 63, 66], Operations: ['11*6=66']
Exploring Operation: 79+63=142, Resulting Numbers: [66, 142]
Generated Node #3: [66, 142] from Operation: 79+63=142
Current State: 76:[66, 142], Operations: ['11*6=66', '79+63=142']
Exploring Operation: 142-66=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[11, 6, 79, 63], Operations: []
Exploring Operation: 11-6=5, Resulting Numbers: [79, 63, 5]
Generated Node #0,0: 76:[79, 63, 5] Operation: 11-6=5
Exploring Operation: 79-63=16, Resulting Numbers: [11, 6, 16]
Generated Node #0,1: 76:[11, 6, 16] Operation: 79-63=16
Exploring Operation: 11+63=74, Resulting Numbers: [6, 79, 74]
Generated Node #0,2: 76:[6, 79, 74] Operation: 11+63=74
Moving to Node #0,2
Current State: 76:[6, 79, 74], Operations: ['11+63=74']
Exploring Operation: 79-74=5, Resulting Numbers: [6, 5]
Generated Node #0,2,0: 76:[6, 5] Operation: 79-74=5
Exploring Operation: 79-6=73, Resulting Numbers: [74, 73]
Generated Node #0,2,1: 76:[74, 73] Operation: 79-6=73
Exploring Operation: 6+74=80, Resulting Numbers: [79, 80]
Generated Node #0,2,2: 76:[79, 80] Operation: 6+74=80
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 76:[6, 5], Operations: ['11+63=74', '79-74=5']
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,76 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,76 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 #0,2,1
Current State: 76:[74, 73], Operations: ['11+63=74', '79-6=73']
Exploring Operation: 74+73=147, Resulting Numbers: [147]
147,76 unequal: No Solution
Exploring Operation: 74*73=5402, Resulting Numbers: [5402]
5402,76 unequal: No Solution
Exploring Operation: 74-73=1, Resulting Numbers: [1]
1,76 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 #0,2,2
Current State: 76:[79, 80], Operations: ['11+63=74', '6+74=80']
Exploring Operation: 79+80=159, Resulting Numbers: [159]
159,76 unequal: No Solution
Exploring Operation: 79*80=6320, Resulting Numbers: [6320]
6320,76 unequal: No Solution
Exploring Operation: 80-79=1, Resulting Numbers: [1]
1,76 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: 76:[11, 6, 16], Operations: ['79-63=16']
Exploring Operation: 11-6=5, Resulting Numbers: [16, 5]
Generated Node #0,1,0: 76:[16, 5] Operation: 11-6=5
Exploring Operation: 11+6=17, Resulting Numbers: [16, 17]
Generated Node #0,1,1: 76:[16, 17] Operation: 11+6=17
Exploring Operation: 16-11=5, Resulting Numbers: [6, 5]
Generated Node #0,1,2: 76:[6, 5] Operation: 16-11=5
Moving to Node #0,0
Current State: 76:[79, 63, 5], Operations: ['11-6=5']
Exploring Operation: 79-63=16, Resulting Numbers: [5, 16]
Generated Node #0,0,0: 76:[5, 16] Operation: 79-63=16
Exploring Operation: 63+5=68, Resulting Numbers: [79, 68]
Generated Node #0,0,1: 76:[79, 68] Operation: 63+5=68
Exploring Operation: 79-5=74, Resulting Numbers: [63, 74]
Generated Node #0,0,2: 76:[63, 74] Operation: 79-5=74
Moving to Node #0,1,2
Current State: 76:[6, 5], Operations: ['79-63=16', '16-11=5']
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,76 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Moving to Node #0,1,0
Current State: 76:[16, 5], Operations: ['79-63=16', '11-6=5']
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Exploring Operation: 16+5=21, Resulting Numbers: [21]
21,76 unequal: No Solution
Exploring Operation: 16*5=80, Resulting Numbers: [80]
80,76 unequal: No Solution
Moving to Node #0,0,0
Current State: 76:[5, 16], Operations: ['11-6=5', '79-63=16']
Exploring Operation: 5*16=80, Resulting Numbers: [80]
80,76 unequal: No Solution
Exploring Operation: 5+16=21, Resulting Numbers: [21]
21,76 unequal: No Solution
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[16, 17], Operations: ['79-63=16', '11+6=17']
Exploring Operation: 16+17=33, Resulting Numbers: [33]
33,76 unequal: No Solution
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 16*17=272, Resulting Numbers: [272]
272,76 unequal: No Solution
Moving to Node #0,0,1
Current State: 76:[79, 68], Operations: ['11-6=5', '63+5=68']
Exploring Operation: 79+68=147, Resulting Numbers: [147]
147,76 unequal: No Solution
Exploring Operation: 79*68=5372, Resulting Numbers: [5372]
5372,76 unequal: No Solution
Exploring Operation: 79-68=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Moving to Node #0,0,2
Current State: 76:[63, 74], Operations: ['11-6=5', '79-5=74']
Exploring Operation: 63*74=4662, Resulting Numbers: [4662]
4662,76 unequal: No Solution
Exploring Operation: 74-63=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Exploring Operation: 63+74=137, Resulting Numbers: [137]
137,76 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
6,
99,
6,
61
] | 50 | [
"6+99=105",
"61-6=55",
"105-55=50"
] | Current State: 50:[6, 99, 6, 61], Operations: []
Exploring Operation: 6+99=105, Resulting Numbers: [61, 105]
Generated Node #2: [61, 105] from Operation: 6+99=105
Current State: 50:[61, 105], Operations: ['6+99=105']
Exploring Operation: 61-6=55, Resulting Numbers: [105, 55]
Generated Node #3: [105, 55] from Operation: 61-6=55
Current State: 50:[105, 55], Operations: ['6+99=105', '61-6=55']
Exploring Operation: 105-55=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[6, 99, 6, 61], Operations: []
Exploring Operation: 99-6=93, Resulting Numbers: [6, 61, 93]
Generated Node #0,0: 50:[6, 61, 93] Operation: 99-6=93
Exploring Operation: 99-61=38, Resulting Numbers: [6, 6, 38]
Generated Node #0,1: 50:[6, 6, 38] Operation: 99-61=38
Moving to Node #0,1
Current State: 50:[6, 6, 38], Operations: ['99-61=38']
Exploring Operation: 6+38=44, Resulting Numbers: [6, 44]
Generated Node #0,1,0: 50:[6, 44] Operation: 6+38=44
Exploring Operation: 6+38=44, Resulting Numbers: [6, 44]
Generated Node #0,1,1: 50:[6, 44] Operation: 6+38=44
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 50:[6, 44], Operations: ['99-61=38', '6+38=44']
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,50 unequal: No Solution
Exploring Operation: 6+44=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[6, 99, 6, 61], Operations: []
Exploring Operation: 99-61=38, Resulting Numbers: [6, 6, 38]
Generated Node #0,1: 50:[6, 6, 38] Operation: 99-61=38
Moving to Node #0,1
Current State: 50:[6, 6, 38], Operations: ['99-61=38']
Exploring Operation: 6+38=44, Resulting Numbers: [6, 44]
Generated Node #0,1,0: 50:[6, 44] Operation: 6+38=44
Moving to Node #0,1,0
Current State: 50:[6, 44], Operations: ['99-61=38', '6+38=44']
Exploring Operation: 6+44=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
85,
95,
67,
40
] | 71 | [
"95-85=10",
"40/10=4",
"67+4=71"
] | Current State: 71:[85, 95, 67, 40], Operations: []
Exploring Operation: 95-85=10, Resulting Numbers: [67, 40, 10]
Generated Node #2: [67, 40, 10] from Operation: 95-85=10
Current State: 71:[67, 40, 10], Operations: ['95-85=10']
Exploring Operation: 40/10=4, Resulting Numbers: [67, 4]
Generated Node #3: [67, 4] from Operation: 40/10=4
Current State: 71:[67, 4], Operations: ['95-85=10', '40/10=4']
Exploring Operation: 67+4=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[85, 95, 67, 40], Operations: []
Exploring Operation: 95-40=55, Resulting Numbers: [85, 67, 55]
Generated Node #0,0: 71:[85, 67, 55] Operation: 95-40=55
Moving to Node #0,0
Current State: 71:[85, 67, 55], Operations: ['95-40=55']
Exploring Operation: 85-55=30, Resulting Numbers: [67, 30]
Generated Node #0,0,0: 71:[67, 30] Operation: 85-55=30
Moving to Node #0,0,0
Current State: 71:[67, 30], Operations: ['95-40=55', '85-55=30']
Exploring Operation: 67+30=97, Resulting Numbers: [97]
97,71 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
70,
74,
37,
59
] | 92 | [
"74-70=4",
"37+59=96",
"96-4=92"
] | Current State: 92:[70, 74, 37, 59], Operations: []
Exploring Operation: 74-70=4, Resulting Numbers: [37, 59, 4]
Generated Node #2: [37, 59, 4] from Operation: 74-70=4
Current State: 92:[37, 59, 4], Operations: ['74-70=4']
Exploring Operation: 37+59=96, Resulting Numbers: [4, 96]
Generated Node #3: [4, 96] from Operation: 37+59=96
Current State: 92:[4, 96], Operations: ['74-70=4', '37+59=96']
Exploring Operation: 96-4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[70, 74, 37, 59], Operations: []
Exploring Operation: 74-70=4, Resulting Numbers: [37, 59, 4]
Generated Node #0,0: 92:[37, 59, 4] Operation: 74-70=4
Moving to Node #0,0
Current State: 92:[37, 59, 4], Operations: ['74-70=4']
Exploring Operation: 59-37=22, Resulting Numbers: [4, 22]
Generated Node #0,0,0: 92:[4, 22] Operation: 59-37=22
Moving to Node #0,0,0
Current State: 92:[4, 22], Operations: ['74-70=4', '59-37=22']
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,92 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
24,
26,
23,
12
] | 75 | [
"24*26=624",
"624/12=52",
"23+52=75"
] | Current State: 75:[24, 26, 23, 12], Operations: []
Exploring Operation: 24*26=624, Resulting Numbers: [23, 12, 624]
Generated Node #2: [23, 12, 624] from Operation: 24*26=624
Current State: 75:[23, 12, 624], Operations: ['24*26=624']
Exploring Operation: 624/12=52, Resulting Numbers: [23, 52]
Generated Node #3: [23, 52] from Operation: 624/12=52
Current State: 75:[23, 52], Operations: ['24*26=624', '624/12=52']
Exploring Operation: 23+52=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[24, 26, 23, 12], Operations: []
Exploring Operation: 24/12=2, Resulting Numbers: [26, 23, 2]
Generated Node #0,0: 75:[26, 23, 2] Operation: 24/12=2
Exploring Operation: 26-23=3, Resulting Numbers: [24, 12, 3]
Generated Node #0,1: 75:[24, 12, 3] Operation: 26-23=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[26, 23, 2], Operations: ['24/12=2']
Exploring Operation: 23+2=25, Resulting Numbers: [26, 25]
Generated Node #0,0,0: 75:[26, 25] Operation: 23+2=25
Exploring Operation: 26-23=3, Resulting Numbers: [2, 3]
Generated Node #0,0,1: 75:[2, 3] Operation: 26-23=3
Moving to Node #0,0,0
Current State: 75:[26, 25], Operations: ['24/12=2', '23+2=25']
Exploring Operation: 26+25=51, Resulting Numbers: [51]
51,75 unequal: No Solution
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,75 unequal: No Solution
Moving to Node #0,0,1
Current State: 75:[2, 3], Operations: ['24/12=2', '26-23=3']
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,75 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[24, 12, 3], Operations: ['26-23=3']
Exploring Operation: 12+3=15, Resulting Numbers: [24, 15]
Generated Node #0,1,0: 75:[24, 15] Operation: 12+3=15
Exploring Operation: 24/12=2, Resulting Numbers: [3, 2]
Generated Node #0,1,1: 75:[3, 2] Operation: 24/12=2
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 75:[24, 15], Operations: ['26-23=3', '12+3=15']
Exploring Operation: 24+15=39, Resulting Numbers: [39]
39,75 unequal: No Solution
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,75 unequal: No Solution
No 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: 75:[3, 2], Operations: ['26-23=3', '24/12=2']
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,75 unequal: No Solution
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,75 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 |
[
20,
9,
40,
59
] | 31 | [
"40+59=99",
"99/9=11",
"20+11=31"
] | Current State: 31:[20, 9, 40, 59], Operations: []
Exploring Operation: 40+59=99, Resulting Numbers: [20, 9, 99]
Generated Node #2: [20, 9, 99] from Operation: 40+59=99
Current State: 31:[20, 9, 99], Operations: ['40+59=99']
Exploring Operation: 99/9=11, Resulting Numbers: [20, 11]
Generated Node #3: [20, 11] from Operation: 99/9=11
Current State: 31:[20, 11], Operations: ['40+59=99', '99/9=11']
Exploring Operation: 20+11=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[20, 9, 40, 59], Operations: []
Exploring Operation: 20+9=29, Resulting Numbers: [40, 59, 29]
Generated Node #0,0: 31:[40, 59, 29] Operation: 20+9=29
Exploring Operation: 59-20=39, Resulting Numbers: [9, 40, 39]
Generated Node #0,1: 31:[9, 40, 39] Operation: 59-20=39
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[40, 59, 29], Operations: ['20+9=29']
Exploring Operation: 59-40=19, Resulting Numbers: [29, 19]
Generated Node #0,0,0: 31:[29, 19] Operation: 59-40=19
Exploring Operation: 59-29=30, Resulting Numbers: [40, 30]
Generated Node #0,0,1: 31:[40, 30] Operation: 59-29=30
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 31:[40, 30], Operations: ['20+9=29', '59-29=30']
Exploring Operation: 40+30=70, Resulting Numbers: [70]
70,31 unequal: No Solution
Exploring Operation: 40-30=10, Resulting Numbers: [10]
10,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 31:[29, 19], Operations: ['20+9=29', '59-40=19']
Exploring Operation: 29-19=10, Resulting Numbers: [10]
10,31 unequal: No Solution
Exploring Operation: 29+19=48, Resulting Numbers: [48]
48,31 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:[9, 40, 39], Operations: ['59-20=39']
Exploring Operation: 39-9=30, Resulting Numbers: [40, 30]
Generated Node #0,1,0: 31:[40, 30] Operation: 39-9=30
Exploring Operation: 40-9=31, Resulting Numbers: [39, 31]
Generated Node #0,1,1: 31:[39, 31] Operation: 40-9=31
Moving to Node #0,1,1
Current State: 31:[39, 31], Operations: ['59-20=39', '40-9=31']
Exploring Operation: 39-31=8, Resulting Numbers: [8]
8,31 unequal: No Solution
Exploring Operation: 39+31=70, Resulting Numbers: [70]
70,31 unequal: No Solution
Moving to Node #0,1,0
Current State: 31:[40, 30], Operations: ['59-20=39', '39-9=30']
Exploring Operation: 40-30=10, Resulting Numbers: [10]
10,31 unequal: No Solution
Exploring Operation: 40+30=70, Resulting Numbers: [70]
70,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
58,
35,
34,
15
] | 72 | [
"58-35=23",
"34+15=49",
"23+49=72"
] | Current State: 72:[58, 35, 34, 15], Operations: []
Exploring Operation: 58-35=23, Resulting Numbers: [34, 15, 23]
Generated Node #2: [34, 15, 23] from Operation: 58-35=23
Current State: 72:[34, 15, 23], Operations: ['58-35=23']
Exploring Operation: 34+15=49, Resulting Numbers: [23, 49]
Generated Node #3: [23, 49] from Operation: 34+15=49
Current State: 72:[23, 49], Operations: ['58-35=23', '34+15=49']
Exploring Operation: 23+49=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[58, 35, 34, 15], Operations: []
Exploring Operation: 58-34=24, Resulting Numbers: [35, 15, 24]
Generated Node #0,0: 72:[35, 15, 24] Operation: 58-34=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[35, 15, 24], Operations: ['58-34=24']
Exploring Operation: 24-15=9, Resulting Numbers: [35, 9]
Generated Node #0,0,0: 72:[35, 9] Operation: 24-15=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 72:[35, 9], Operations: ['58-34=24', '24-15=9']
Exploring Operation: 35-9=26, Resulting Numbers: [26]
26,72 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 |
[
13,
83,
26,
7
] | 78 | [
"26/13=2",
"83-7=76",
"2+76=78"
] | Current State: 78:[13, 83, 26, 7], Operations: []
Exploring Operation: 26/13=2, Resulting Numbers: [83, 7, 2]
Generated Node #2: [83, 7, 2] from Operation: 26/13=2
Current State: 78:[83, 7, 2], Operations: ['26/13=2']
Exploring Operation: 83-7=76, Resulting Numbers: [2, 76]
Generated Node #3: [2, 76] from Operation: 83-7=76
Current State: 78:[2, 76], Operations: ['26/13=2', '83-7=76']
Exploring Operation: 2+76=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[13, 83, 26, 7], Operations: []
Exploring Operation: 83-7=76, Resulting Numbers: [13, 26, 76]
Generated Node #0,0: 78:[13, 26, 76] Operation: 83-7=76
Exploring Operation: 13-7=6, Resulting Numbers: [83, 26, 6]
Generated Node #0,1: 78:[83, 26, 6] Operation: 13-7=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[13, 26, 76], Operations: ['83-7=76']
Exploring Operation: 13+26=39, Resulting Numbers: [76, 39]
Generated Node #0,0,0: 78:[76, 39] Operation: 13+26=39
Exploring Operation: 26-13=13, Resulting Numbers: [76, 13]
Generated Node #0,0,1: 78:[76, 13] Operation: 26-13=13
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 78:[76, 39], Operations: ['83-7=76', '13+26=39']
Exploring Operation: 76-39=37, Resulting Numbers: [37]
37,78 unequal: No Solution
Exploring Operation: 76+39=115, Resulting Numbers: [115]
115,78 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:[76, 13], Operations: ['83-7=76', '26-13=13']
Exploring Operation: 76+13=89, Resulting Numbers: [89]
89,78 unequal: No Solution
Exploring Operation: 76-13=63, Resulting Numbers: [63]
63,78 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:[83, 26, 6], Operations: ['13-7=6']
Exploring Operation: 83-6=77, Resulting Numbers: [26, 77]
Generated Node #0,1,0: 78:[26, 77] Operation: 83-6=77
Exploring Operation: 83+6=89, Resulting Numbers: [26, 89]
Generated Node #0,1,1: 78:[26, 89] Operation: 83+6=89
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 78:[26, 77], Operations: ['13-7=6', '83-6=77']
Exploring Operation: 77-26=51, Resulting Numbers: [51]
51,78 unequal: No Solution
Exploring Operation: 26+77=103, Resulting Numbers: [103]
103,78 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 #0,1,1
Current State: 78:[26, 89], Operations: ['13-7=6', '83+6=89']
Exploring Operation: 26+89=115, Resulting Numbers: [115]
115,78 unequal: No Solution
Exploring Operation: 89-26=63, Resulting Numbers: [63]
63,78 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_2 | mult_heuristic |
[
66,
38,
31,
38
] | 21 | [
"66-38=28",
"38-31=7",
"28-7=21"
] | Current State: 21:[66, 38, 31, 38], Operations: []
Exploring Operation: 66-38=28, Resulting Numbers: [31, 28]
Generated Node #2: [31, 28] from Operation: 66-38=28
Current State: 21:[31, 28], Operations: ['66-38=28']
Exploring Operation: 38-31=7, Resulting Numbers: [28, 7]
Generated Node #3: [28, 7] from Operation: 38-31=7
Current State: 21:[28, 7], Operations: ['66-38=28', '38-31=7']
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[66, 38, 31, 38], Operations: []
Exploring Operation: 66-38=28, Resulting Numbers: [38, 31, 28]
Generated Node #0,0: 21:[38, 31, 28] Operation: 66-38=28
Exploring Operation: 66-38=28, Resulting Numbers: [31, 38, 28]
Generated Node #0,1: 21:[31, 38, 28] Operation: 66-38=28
Moving to Node #0,0
Current State: 21:[38, 31, 28], Operations: ['66-38=28']
Exploring Operation: 38-31=7, Resulting Numbers: [28, 7]
Generated Node #0,0,0: 21:[28, 7] Operation: 38-31=7
Exploring Operation: 38-28=10, Resulting Numbers: [31, 10]
Generated Node #0,0,1: 21:[31, 10] Operation: 38-28=10
Moving to Node #0,1
Current State: 21:[31, 38, 28], Operations: ['66-38=28']
Exploring Operation: 38-28=10, Resulting Numbers: [31, 10]
Generated Node #0,1,0: 21:[31, 10] Operation: 38-28=10
Exploring Operation: 38-31=7, Resulting Numbers: [28, 7]
Generated Node #0,1,1: 21:[28, 7] Operation: 38-31=7
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 21:[28, 7], Operations: ['66-38=28', '38-31=7']
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[66, 38, 31, 38], Operations: []
Exploring Operation: 66-38=28, Resulting Numbers: [31, 38, 28]
Generated Node #0,1: 21:[31, 38, 28] Operation: 66-38=28
Moving to Node #0,1
Current State: 21:[31, 38, 28], Operations: ['66-38=28']
Exploring Operation: 38-31=7, Resulting Numbers: [28, 7]
Generated Node #0,1,1: 21:[28, 7] Operation: 38-31=7
Moving to Node #0,1,1
Current State: 21:[28, 7], Operations: ['66-38=28', '38-31=7']
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
85,
87,
4,
44
] | 84 | [
"87-85=2",
"44*2=88",
"88-4=84"
] | Current State: 84:[85, 87, 4, 44], Operations: []
Exploring Operation: 87-85=2, Resulting Numbers: [4, 44, 2]
Generated Node #2: [4, 44, 2] from Operation: 87-85=2
Current State: 84:[4, 44, 2], Operations: ['87-85=2']
Exploring Operation: 44*2=88, Resulting Numbers: [4, 88]
Generated Node #3: [4, 88] from Operation: 44*2=88
Current State: 84:[4, 88], Operations: ['87-85=2', '44*2=88']
Exploring Operation: 88-4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[85, 87, 4, 44], Operations: []
Exploring Operation: 87-44=43, Resulting Numbers: [85, 4, 43]
Generated Node #0,0: 84:[85, 4, 43] Operation: 87-44=43
Exploring Operation: 85-44=41, Resulting Numbers: [87, 4, 41]
Generated Node #0,1: 84:[87, 4, 41] Operation: 85-44=41
Exploring Operation: 87-85=2, Resulting Numbers: [4, 44, 2]
Generated Node #0,2: 84:[4, 44, 2] Operation: 87-85=2
Moving to Node #0,0
Current State: 84:[85, 4, 43], Operations: ['87-44=43']
Exploring Operation: 85-4=81, Resulting Numbers: [43, 81]
Generated Node #0,0,0: 84:[43, 81] Operation: 85-4=81
Exploring Operation: 85-43=42, Resulting Numbers: [4, 42]
Generated Node #0,0,1: 84:[4, 42] Operation: 85-43=42
Exploring Operation: 43-4=39, Resulting Numbers: [85, 39]
Generated Node #0,0,2: 84:[85, 39] Operation: 43-4=39
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 84:[4, 42], Operations: ['87-44=43', '85-43=42']
Exploring Operation: 42-4=38, Resulting Numbers: [38]
38,84 unequal: No Solution
Exploring Operation: 4*42=168, Resulting Numbers: [168]
168,84 unequal: No Solution
Exploring Operation: 4+42=46, Resulting Numbers: [46]
46,84 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:[43, 81], Operations: ['87-44=43', '85-4=81']
Exploring Operation: 81-43=38, Resulting Numbers: [38]
38,84 unequal: No Solution
Exploring Operation: 43*81=3483, Resulting Numbers: [3483]
3483,84 unequal: No Solution
Exploring Operation: 43+81=124, Resulting Numbers: [124]
124,84 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:[85, 39], Operations: ['87-44=43', '43-4=39']
Exploring Operation: 85+39=124, Resulting Numbers: [124]
124,84 unequal: No Solution
Exploring Operation: 85*39=3315, Resulting Numbers: [3315]
3315,84 unequal: No Solution
Exploring Operation: 85-39=46, Resulting Numbers: [46]
46,84 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:[4, 44, 2], Operations: ['87-85=2']
Exploring Operation: 44-2=42, Resulting Numbers: [4, 42]
Generated Node #0,2,0: 84:[4, 42] Operation: 44-2=42
Exploring Operation: 44/4=11, Resulting Numbers: [2, 11]
Generated Node #0,2,1: 84:[2, 11] Operation: 44/4=11
Exploring Operation: 44/2=22, Resulting Numbers: [4, 22]
Generated Node #0,2,2: 84:[4, 22] Operation: 44/2=22
Moving to Node #0,1
Current State: 84:[87, 4, 41], Operations: ['85-44=41']
Exploring Operation: 87-41=46, Resulting Numbers: [4, 46]
Generated Node #0,1,0: 84:[4, 46] Operation: 87-41=46
Exploring Operation: 87-4=83, Resulting Numbers: [41, 83]
Generated Node #0,1,1: 84:[41, 83] Operation: 87-4=83
Exploring Operation: 4+41=45, Resulting Numbers: [87, 45]
Generated Node #0,1,2: 84:[87, 45] Operation: 4+41=45
Moving to Node #0,2,0
Current State: 84:[4, 42], Operations: ['87-85=2', '44-2=42']
Exploring Operation: 4*42=168, Resulting Numbers: [168]
168,84 unequal: No Solution
Exploring Operation: 42-4=38, Resulting Numbers: [38]
38,84 unequal: No Solution
Exploring Operation: 4+42=46, Resulting Numbers: [46]
46,84 unequal: No Solution
Moving to Node #0,2,2
Current State: 84:[4, 22], Operations: ['87-85=2', '44/2=22']
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,84 unequal: No Solution
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,84 unequal: No Solution
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,84 unequal: No Solution
Moving to Node #0,2,1
Current State: 84:[2, 11], Operations: ['87-85=2', '44/4=11']
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,84 unequal: No Solution
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,84 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,84 unequal: No Solution
Moving to Node #0,1,1
Current State: 84:[41, 83], Operations: ['85-44=41', '87-4=83']
Exploring Operation: 83-41=42, Resulting Numbers: [42]
42,84 unequal: No Solution
Exploring Operation: 41*83=3403, Resulting Numbers: [3403]
3403,84 unequal: No Solution
Exploring Operation: 41+83=124, Resulting Numbers: [124]
124,84 unequal: No Solution
Moving to Node #0,1,0
Current State: 84:[4, 46], Operations: ['85-44=41', '87-41=46']
Exploring Operation: 4*46=184, Resulting Numbers: [184]
184,84 unequal: No Solution
Exploring Operation: 4+46=50, Resulting Numbers: [50]
50,84 unequal: No Solution
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,84 unequal: No Solution
Moving to Node #0,1,2
Current State: 84:[87, 45], Operations: ['85-44=41', '4+41=45']
Exploring Operation: 87-45=42, Resulting Numbers: [42]
42,84 unequal: No Solution
Exploring Operation: 87*45=3915, Resulting Numbers: [3915]
3915,84 unequal: No Solution
Exploring Operation: 87+45=132, Resulting Numbers: [132]
132,84 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
30,
75,
80,
7
] | 28 | [
"75-30=45",
"80-7=73",
"73-45=28"
] | Current State: 28:[30, 75, 80, 7], Operations: []
Exploring Operation: 75-30=45, Resulting Numbers: [80, 7, 45]
Generated Node #2: [80, 7, 45] from Operation: 75-30=45
Current State: 28:[80, 7, 45], Operations: ['75-30=45']
Exploring Operation: 80-7=73, Resulting Numbers: [45, 73]
Generated Node #3: [45, 73] from Operation: 80-7=73
Current State: 28:[45, 73], Operations: ['75-30=45', '80-7=73']
Exploring Operation: 73-45=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[30, 75, 80, 7], Operations: []
Exploring Operation: 75-30=45, Resulting Numbers: [80, 7, 45]
Generated Node #0,0: 28:[80, 7, 45] Operation: 75-30=45
Exploring Operation: 80-75=5, Resulting Numbers: [30, 7, 5]
Generated Node #0,1: 28:[30, 7, 5] Operation: 80-75=5
Exploring Operation: 80-30=50, Resulting Numbers: [75, 7, 50]
Generated Node #0,2: 28:[75, 7, 50] Operation: 80-30=50
Start Sub Search at level 1: Moving to Node #0,1
Current State: 28:[30, 7, 5], Operations: ['80-75=5']
Exploring Operation: 30/5=6, Resulting Numbers: [7, 6]
Generated Node #0,1,0: 28:[7, 6] Operation: 30/5=6
Exploring Operation: 30-5=25, Resulting Numbers: [7, 25]
Generated Node #0,1,1: 28:[7, 25] Operation: 30-5=25
Exploring Operation: 7-5=2, Resulting Numbers: [30, 2]
Generated Node #0,1,2: 28:[30, 2] Operation: 7-5=2
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 28:[7, 6], Operations: ['80-75=5', '30/5=6']
Exploring Operation: 7*6=42, Resulting Numbers: [42]
42,28 unequal: No Solution
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Exploring Operation: 7+6=13, Resulting Numbers: [13]
13,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 28:[30, 2], Operations: ['80-75=5', '7-5=2']
Exploring Operation: 30+2=32, Resulting Numbers: [32]
32,28 unequal: No Solution
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,28 unequal: No Solution
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[30, 75, 80, 7], Operations: []
Exploring Operation: 80-75=5, Resulting Numbers: [30, 7, 5]
Generated Node #0,1: 28:[30, 7, 5] Operation: 80-75=5
Moving to Node #0,1
Current State: 28:[30, 7, 5], Operations: ['80-75=5']
Exploring Operation: 7-5=2, Resulting Numbers: [30, 2]
Generated Node #0,1,2: 28:[30, 2] Operation: 7-5=2
Moving to Node #0,1,2
Current State: 28:[30, 2], Operations: ['80-75=5', '7-5=2']
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_3 | mult_heuristic |
[
73,
50,
12,
64
] | 53 | [
"73-50=23",
"12+64=76",
"76-23=53"
] | Current State: 53:[73, 50, 12, 64], Operations: []
Exploring Operation: 73-50=23, Resulting Numbers: [12, 64, 23]
Generated Node #2: [12, 64, 23] from Operation: 73-50=23
Current State: 53:[12, 64, 23], Operations: ['73-50=23']
Exploring Operation: 12+64=76, Resulting Numbers: [23, 76]
Generated Node #3: [23, 76] from Operation: 12+64=76
Current State: 53:[23, 76], Operations: ['73-50=23', '12+64=76']
Exploring Operation: 76-23=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[73, 50, 12, 64], Operations: []
Exploring Operation: 73-12=61, Resulting Numbers: [50, 64, 61]
Generated Node #0,0: 53:[50, 64, 61] Operation: 73-12=61
Exploring Operation: 50-12=38, Resulting Numbers: [73, 64, 38]
Generated Node #0,1: 53:[73, 64, 38] Operation: 50-12=38
Exploring Operation: 73+12=85, Resulting Numbers: [50, 64, 85]
Generated Node #0,2: 53:[50, 64, 85] Operation: 73+12=85
Exploring Operation: 50+12=62, Resulting Numbers: [73, 64, 62]
Generated Node #0,3: 53:[73, 64, 62] Operation: 50+12=62
Exploring Operation: 64-12=52, Resulting Numbers: [73, 50, 52]
Generated Node #0,4: 53:[73, 50, 52] Operation: 64-12=52
Moving to Node #0,0
Current State: 53:[50, 64, 61], Operations: ['73-12=61']
Exploring Operation: 64-61=3, Resulting Numbers: [50, 3]
Generated Node #0,0,0: 53:[50, 3] Operation: 64-61=3
Exploring Operation: 50+61=111, Resulting Numbers: [64, 111]
Generated Node #0,0,1: 53:[64, 111] Operation: 50+61=111
Exploring Operation: 61-50=11, Resulting Numbers: [64, 11]
Generated Node #0,0,2: 53:[64, 11] Operation: 61-50=11
Exploring Operation: 50+64=114, Resulting Numbers: [61, 114]
Generated Node #0,0,3: 53:[61, 114] Operation: 50+64=114
Exploring Operation: 64-50=14, Resulting Numbers: [61, 14]
Generated Node #0,0,4: 53:[61, 14] Operation: 64-50=14
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 53:[61, 14], Operations: ['73-12=61', '64-50=14']
Exploring Operation: 61+14=75, Resulting Numbers: [75]
75,53 unequal: No Solution
Exploring Operation: 61*14=854, Resulting Numbers: [854]
854,53 unequal: No Solution
Exploring Operation: 61-14=47, Resulting Numbers: [47]
47,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[50, 3], Operations: ['73-12=61', '64-61=3']
Exploring Operation: 50+3=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[73, 50, 12, 64], Operations: []
Exploring Operation: 73-12=61, Resulting Numbers: [50, 64, 61]
Generated Node #0,0: 53:[50, 64, 61] Operation: 73-12=61
Moving to Node #0,0
Current State: 53:[50, 64, 61], Operations: ['73-12=61']
Exploring Operation: 64-61=3, Resulting Numbers: [50, 3]
Generated Node #0,0,0: 53:[50, 3] Operation: 64-61=3
Moving to Node #0,0,0
Current State: 53:[50, 3], Operations: ['73-12=61', '64-61=3']
Exploring Operation: 50+3=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | mult_heuristic |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.