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 |
|---|---|---|---|---|---|---|---|---|
[
12,
80,
15,
43
] | 34 | [
"12+80=92",
"15+43=58",
"92-58=34"
] | Current State: 34:[12, 80, 15, 43], Operations: []
Exploring Operation: 12+80=92, Resulting Numbers: [15, 43, 92]
Generated Node #2: [15, 43, 92] from Operation: 12+80=92
Current State: 34:[15, 43, 92], Operations: ['12+80=92']
Exploring Operation: 15+43=58, Resulting Numbers: [92, 58]
Generated Node #3: [92, 58] from Operation: 15+43=58
Current State: 34:[92, 58], Operations: ['12+80=92', '15+43=58']
Exploring Operation: 92-58=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[12, 80, 15, 43], Operations: []
Exploring Operation: 43-12=31, Resulting Numbers: [80, 15, 31]
Generated Node #0,0: 34:[80, 15, 31] Operation: 43-12=31
Exploring Operation: 80-12=68, Resulting Numbers: [15, 43, 68]
Generated Node #0,1: 34:[15, 43, 68] Operation: 80-12=68
Exploring Operation: 80-43=37, Resulting Numbers: [12, 15, 37]
Generated Node #0,2: 34:[12, 15, 37] Operation: 80-43=37
Exploring Operation: 80-15=65, Resulting Numbers: [12, 43, 65]
Generated Node #0,3: 34:[12, 43, 65] Operation: 80-15=65
Moving to Node #0,2
Current State: 34:[12, 15, 37], Operations: ['80-43=37']
Exploring Operation: 12+15=27, Resulting Numbers: [37, 27]
Generated Node #0,2,0: 34:[37, 27] Operation: 12+15=27
Exploring Operation: 37-12=25, Resulting Numbers: [15, 25]
Generated Node #0,2,1: 34:[15, 25] Operation: 37-12=25
Exploring Operation: 15-12=3, Resulting Numbers: [37, 3]
Generated Node #0,2,2: 34:[37, 3] Operation: 15-12=3
Exploring Operation: 37-15=22, Resulting Numbers: [12, 22]
Generated Node #0,2,3: 34:[12, 22] Operation: 37-15=22
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 34:[37, 3], Operations: ['80-43=37', '15-12=3']
Exploring Operation: 37*3=111, Resulting Numbers: [111]
111,34 unequal: No Solution
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[12, 80, 15, 43], Operations: []
Exploring Operation: 80-43=37, Resulting Numbers: [12, 15, 37]
Generated Node #0,2: 34:[12, 15, 37] Operation: 80-43=37
Moving to Node #0,2
Current State: 34:[12, 15, 37], Operations: ['80-43=37']
Exploring Operation: 15-12=3, Resulting Numbers: [37, 3]
Generated Node #0,2,2: 34:[37, 3] Operation: 15-12=3
Moving to Node #0,2,2
Current State: 34:[37, 3], Operations: ['80-43=37', '15-12=3']
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
5,
85,
76,
97
] | 93 | [
"85-5=80",
"76+97=173",
"173-80=93"
] | Current State: 93:[5, 85, 76, 97], Operations: []
Exploring Operation: 85-5=80, Resulting Numbers: [76, 97, 80]
Generated Node #2: [76, 97, 80] from Operation: 85-5=80
Current State: 93:[76, 97, 80], Operations: ['85-5=80']
Exploring Operation: 76+97=173, Resulting Numbers: [80, 173]
Generated Node #3: [80, 173] from Operation: 76+97=173
Current State: 93:[80, 173], Operations: ['85-5=80', '76+97=173']
Exploring Operation: 173-80=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[5, 85, 76, 97], Operations: []
Exploring Operation: 97-76=21, Resulting Numbers: [5, 85, 21]
Generated Node #0,0: 93:[5, 85, 21] Operation: 97-76=21
Exploring Operation: 97-5=92, Resulting Numbers: [85, 76, 92]
Generated Node #0,1: 93:[85, 76, 92] Operation: 97-5=92
Exploring Operation: 85-76=9, Resulting Numbers: [5, 97, 9]
Generated Node #0,2: 93:[5, 97, 9] Operation: 85-76=9
Exploring Operation: 5+76=81, Resulting Numbers: [85, 97, 81]
Generated Node #0,3: 93:[85, 97, 81] Operation: 5+76=81
Exploring Operation: 5+85=90, Resulting Numbers: [76, 97, 90]
Generated Node #0,4: 93:[76, 97, 90] Operation: 5+85=90
Start Sub Search at level 1: Moving to Node #0,2
Current State: 93:[5, 97, 9], Operations: ['85-76=9']
Exploring Operation: 97-5=92, Resulting Numbers: [9, 92]
Generated Node #0,2,0: 93:[9, 92] Operation: 97-5=92
Exploring Operation: 5+9=14, Resulting Numbers: [97, 14]
Generated Node #0,2,1: 93:[97, 14] Operation: 5+9=14
Exploring Operation: 5+97=102, Resulting Numbers: [9, 102]
Generated Node #0,2,2: 93:[9, 102] Operation: 5+97=102
Exploring Operation: 97-9=88, Resulting Numbers: [5, 88]
Generated Node #0,2,3: 93:[5, 88] Operation: 97-9=88
Exploring Operation: 9-5=4, Resulting Numbers: [97, 4]
Generated Node #0,2,4: 93:[97, 4] Operation: 9-5=4
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 93:[97, 4], Operations: ['85-76=9', '9-5=4']
Exploring Operation: 97+4=101, Resulting Numbers: [101]
101,93 unequal: No Solution
Exploring Operation: 97*4=388, Resulting Numbers: [388]
388,93 unequal: No Solution
Exploring Operation: 97-4=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[5, 85, 76, 97], Operations: []
Exploring Operation: 85-76=9, Resulting Numbers: [5, 97, 9]
Generated Node #0,2: 93:[5, 97, 9] Operation: 85-76=9
Moving to Node #0,2
Current State: 93:[5, 97, 9], Operations: ['85-76=9']
Exploring Operation: 9-5=4, Resulting Numbers: [97, 4]
Generated Node #0,2,4: 93:[97, 4] Operation: 9-5=4
Moving to Node #0,2,4
Current State: 93:[97, 4], Operations: ['85-76=9', '9-5=4']
Exploring Operation: 97-4=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
8,
85,
33,
21
] | 23 | [
"85-8=77",
"33+21=54",
"77-54=23"
] | Current State: 23:[8, 85, 33, 21], Operations: []
Exploring Operation: 85-8=77, Resulting Numbers: [33, 21, 77]
Generated Node #2: [33, 21, 77] from Operation: 85-8=77
Current State: 23:[33, 21, 77], Operations: ['85-8=77']
Exploring Operation: 33+21=54, Resulting Numbers: [77, 54]
Generated Node #3: [77, 54] from Operation: 33+21=54
Current State: 23:[77, 54], Operations: ['85-8=77', '33+21=54']
Exploring Operation: 77-54=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[8, 85, 33, 21], Operations: []
Exploring Operation: 8+21=29, Resulting Numbers: [85, 33, 29]
Generated Node #0,0: 23:[85, 33, 29] Operation: 8+21=29
Exploring Operation: 85-8=77, Resulting Numbers: [33, 21, 77]
Generated Node #0,1: 23:[33, 21, 77] Operation: 85-8=77
Exploring Operation: 85-33=52, Resulting Numbers: [8, 21, 52]
Generated Node #0,2: 23:[8, 21, 52] Operation: 85-33=52
Exploring Operation: 85-21=64, Resulting Numbers: [8, 33, 64]
Generated Node #0,3: 23:[8, 33, 64] Operation: 85-21=64
Exploring Operation: 33-8=25, Resulting Numbers: [85, 21, 25]
Generated Node #0,4: 23:[85, 21, 25] Operation: 33-8=25
Moving to Node #0,2
Current State: 23:[8, 21, 52], Operations: ['85-33=52']
Exploring Operation: 21-8=13, Resulting Numbers: [52, 13]
Generated Node #0,2,0: 23:[52, 13] Operation: 21-8=13
Exploring Operation: 52-21=31, Resulting Numbers: [8, 31]
Generated Node #0,2,1: 23:[8, 31] Operation: 52-21=31
Exploring Operation: 8+52=60, Resulting Numbers: [21, 60]
Generated Node #0,2,2: 23:[21, 60] Operation: 8+52=60
Exploring Operation: 8+21=29, Resulting Numbers: [52, 29]
Generated Node #0,2,3: 23:[52, 29] Operation: 8+21=29
Exploring Operation: 52-8=44, Resulting Numbers: [21, 44]
Generated Node #0,2,4: 23:[21, 44] Operation: 52-8=44
Moving to Node #0,3
Current State: 23:[8, 33, 64], Operations: ['85-21=64']
Exploring Operation: 64-33=31, Resulting Numbers: [8, 31]
Generated Node #0,3,0: 23:[8, 31] Operation: 64-33=31
Exploring Operation: 64-8=56, Resulting Numbers: [33, 56]
Generated Node #0,3,1: 23:[33, 56] Operation: 64-8=56
Exploring Operation: 8+33=41, Resulting Numbers: [64, 41]
Generated Node #0,3,2: 23:[64, 41] Operation: 8+33=41
Exploring Operation: 64/8=8, Resulting Numbers: [33, 8]
Generated Node #0,3,3: 23:[33, 8] Operation: 64/8=8
Exploring Operation: 33-8=25, Resulting Numbers: [64, 25]
Generated Node #0,3,4: 23:[64, 25] Operation: 33-8=25
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 23:[8, 31], Operations: ['85-21=64', '64-33=31']
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[8, 85, 33, 21], Operations: []
Exploring Operation: 85-21=64, Resulting Numbers: [8, 33, 64]
Generated Node #0,3: 23:[8, 33, 64] Operation: 85-21=64
Moving to Node #0,3
Current State: 23:[8, 33, 64], Operations: ['85-21=64']
Exploring Operation: 64-33=31, Resulting Numbers: [8, 31]
Generated Node #0,3,0: 23:[8, 31] Operation: 64-33=31
Moving to Node #0,3,0
Current State: 23:[8, 31], Operations: ['85-21=64', '64-33=31']
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | mult_heuristic |
[
24,
5,
8,
3
] | 59 | [
"24*8=192",
"192/3=64",
"64-5=59"
] | Current State: 59:[24, 5, 8, 3], Operations: []
Exploring Operation: 24*8=192, Resulting Numbers: [5, 3, 192]
Generated Node #2: [5, 3, 192] from Operation: 24*8=192
Current State: 59:[5, 3, 192], Operations: ['24*8=192']
Exploring Operation: 192/3=64, Resulting Numbers: [5, 64]
Generated Node #3: [5, 64] from Operation: 192/3=64
Current State: 59:[5, 64], Operations: ['24*8=192', '192/3=64']
Exploring Operation: 64-5=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[24, 5, 8, 3], Operations: []
Exploring Operation: 5*8=40, Resulting Numbers: [24, 3, 40]
Generated Node #0,0: 59:[24, 3, 40] Operation: 5*8=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[24, 3, 40], Operations: ['5*8=40']
Exploring Operation: 24*3=72, Resulting Numbers: [40, 72]
Generated Node #0,0,0: 59:[40, 72] Operation: 24*3=72
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 59:[40, 72], Operations: ['5*8=40', '24*3=72']
Exploring Operation: 72-40=32, Resulting Numbers: [32]
32,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
52,
39,
5,
9
] | 98 | [
"39-9=30",
"5*30=150",
"150-52=98"
] | Current State: 98:[52, 39, 5, 9], Operations: []
Exploring Operation: 39-9=30, Resulting Numbers: [52, 5, 30]
Generated Node #2: [52, 5, 30] from Operation: 39-9=30
Current State: 98:[52, 5, 30], Operations: ['39-9=30']
Exploring Operation: 5*30=150, Resulting Numbers: [52, 150]
Generated Node #3: [52, 150] from Operation: 5*30=150
Current State: 98:[52, 150], Operations: ['39-9=30', '5*30=150']
Exploring Operation: 150-52=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[52, 39, 5, 9], Operations: []
Exploring Operation: 52-39=13, Resulting Numbers: [5, 9, 13]
Generated Node #0,0: 98:[5, 9, 13] Operation: 52-39=13
Exploring Operation: 39+9=48, Resulting Numbers: [52, 5, 48]
Generated Node #0,1: 98:[52, 5, 48] Operation: 39+9=48
Moving to Node #0,0
Current State: 98:[5, 9, 13], Operations: ['52-39=13']
Exploring Operation: 9-5=4, Resulting Numbers: [13, 4]
Generated Node #0,0,0: 98:[13, 4] Operation: 9-5=4
Exploring Operation: 5+9=14, Resulting Numbers: [13, 14]
Generated Node #0,0,1: 98:[13, 14] Operation: 5+9=14
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 98:[13, 14], Operations: ['52-39=13', '5+9=14']
Exploring Operation: 13+14=27, Resulting Numbers: [27]
27,98 unequal: No Solution
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 98:[13, 4], Operations: ['52-39=13', '9-5=4']
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,98 unequal: No Solution
Exploring Operation: 13+4=17, Resulting Numbers: [17]
17,98 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: 98:[52, 5, 48], Operations: ['39+9=48']
Exploring Operation: 52+48=100, Resulting Numbers: [5, 100]
Generated Node #0,1,0: 98:[5, 100] Operation: 52+48=100
Exploring Operation: 52-5=47, Resulting Numbers: [48, 47]
Generated Node #0,1,1: 98:[48, 47] Operation: 52-5=47
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 98:[48, 47], Operations: ['39+9=48', '52-5=47']
Exploring Operation: 48-47=1, Resulting Numbers: [1]
1,98 unequal: No Solution
Exploring Operation: 48+47=95, Resulting Numbers: [95]
95,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 98:[5, 100], Operations: ['39+9=48', '52+48=100']
Exploring Operation: 100/5=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Exploring Operation: 100-5=95, Resulting Numbers: [95]
95,98 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 |
[
51,
90,
6,
10
] | 99 | [
"90-51=39",
"6*10=60",
"39+60=99"
] | Current State: 99:[51, 90, 6, 10], Operations: []
Exploring Operation: 90-51=39, Resulting Numbers: [6, 10, 39]
Generated Node #2: [6, 10, 39] from Operation: 90-51=39
Current State: 99:[6, 10, 39], Operations: ['90-51=39']
Exploring Operation: 6*10=60, Resulting Numbers: [39, 60]
Generated Node #3: [39, 60] from Operation: 6*10=60
Current State: 99:[39, 60], Operations: ['90-51=39', '6*10=60']
Exploring Operation: 39+60=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[51, 90, 6, 10], Operations: []
Exploring Operation: 51-10=41, Resulting Numbers: [90, 6, 41]
Generated Node #0,0: 99:[90, 6, 41] Operation: 51-10=41
Exploring Operation: 51-6=45, Resulting Numbers: [90, 10, 45]
Generated Node #0,1: 99:[90, 10, 45] Operation: 51-6=45
Exploring Operation: 90+6=96, Resulting Numbers: [51, 10, 96]
Generated Node #0,2: 99:[51, 10, 96] Operation: 90+6=96
Exploring Operation: 90/10=9, Resulting Numbers: [51, 6, 9]
Generated Node #0,3: 99:[51, 6, 9] Operation: 90/10=9
Exploring Operation: 90-51=39, Resulting Numbers: [6, 10, 39]
Generated Node #0,4: 99:[6, 10, 39] Operation: 90-51=39
Moving to Node #0,4
Current State: 99:[6, 10, 39], Operations: ['90-51=39']
Exploring Operation: 39-6=33, Resulting Numbers: [10, 33]
Generated Node #0,4,0: 99:[10, 33] Operation: 39-6=33
Exploring Operation: 6+10=16, Resulting Numbers: [39, 16]
Generated Node #0,4,1: 99:[39, 16] Operation: 6+10=16
Exploring Operation: 39-10=29, Resulting Numbers: [6, 29]
Generated Node #0,4,2: 99:[6, 29] Operation: 39-10=29
Exploring Operation: 10-6=4, Resulting Numbers: [39, 4]
Generated Node #0,4,3: 99:[39, 4] Operation: 10-6=4
Exploring Operation: 6+39=45, Resulting Numbers: [10, 45]
Generated Node #0,4,4: 99:[10, 45] Operation: 6+39=45
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 99:[10, 33], Operations: ['90-51=39', '39-6=33']
Exploring Operation: 10*33=330, Resulting Numbers: [330]
330,99 unequal: No Solution
Exploring Operation: 10+33=43, Resulting Numbers: [43]
43,99 unequal: No Solution
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 99:[6, 29], Operations: ['90-51=39', '39-10=29']
Exploring Operation: 6+29=35, Resulting Numbers: [35]
35,99 unequal: No Solution
Exploring Operation: 6*29=174, Resulting Numbers: [174]
174,99 unequal: No Solution
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 99:[39, 4], Operations: ['90-51=39', '10-6=4']
Exploring Operation: 39*4=156, Resulting Numbers: [156]
156,99 unequal: No Solution
Exploring Operation: 39+4=43, Resulting Numbers: [43]
43,99 unequal: No Solution
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 99:[39, 16], Operations: ['90-51=39', '6+10=16']
Exploring Operation: 39+16=55, Resulting Numbers: [55]
55,99 unequal: No Solution
Exploring Operation: 39*16=624, Resulting Numbers: [624]
624,99 unequal: No Solution
Exploring Operation: 39-16=23, Resulting Numbers: [23]
23,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 99:[10, 45], Operations: ['90-51=39', '6+39=45']
Exploring Operation: 10+45=55, Resulting Numbers: [55]
55,99 unequal: No Solution
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,99 unequal: No Solution
Exploring Operation: 10*45=450, Resulting Numbers: [450]
450,99 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: 99:[90, 6, 41], Operations: ['51-10=41']
Exploring Operation: 90-41=49, Resulting Numbers: [6, 49]
Generated Node #0,0,0: 99:[6, 49] Operation: 90-41=49
Exploring Operation: 90/6=15, Resulting Numbers: [41, 15]
Generated Node #0,0,1: 99:[41, 15] Operation: 90/6=15
Exploring Operation: 90+6=96, Resulting Numbers: [41, 96]
Generated Node #0,0,2: 99:[41, 96] Operation: 90+6=96
Exploring Operation: 90-6=84, Resulting Numbers: [41, 84]
Generated Node #0,0,3: 99:[41, 84] Operation: 90-6=84
Exploring Operation: 41-6=35, Resulting Numbers: [90, 35]
Generated Node #0,0,4: 99:[90, 35] Operation: 41-6=35
Moving to Node #0,3
Current State: 99:[51, 6, 9], Operations: ['90/10=9']
Exploring Operation: 9-6=3, Resulting Numbers: [51, 3]
Generated Node #0,3,0: 99:[51, 3] Operation: 9-6=3
Exploring Operation: 51-9=42, Resulting Numbers: [6, 42]
Generated Node #0,3,1: 99:[6, 42] Operation: 51-9=42
Exploring Operation: 6+9=15, Resulting Numbers: [51, 15]
Generated Node #0,3,2: 99:[51, 15] Operation: 6+9=15
Exploring Operation: 51-6=45, Resulting Numbers: [9, 45]
Generated Node #0,3,3: 99:[9, 45] Operation: 51-6=45
Exploring Operation: 51+6=57, Resulting Numbers: [9, 57]
Generated Node #0,3,4: 99:[9, 57] Operation: 51+6=57
Moving to Node #0,1
Current State: 99:[90, 10, 45], Operations: ['51-6=45']
Exploring Operation: 90/45=2, Resulting Numbers: [10, 2]
Generated Node #0,1,0: 99:[10, 2] Operation: 90/45=2
Exploring Operation: 90-45=45, Resulting Numbers: [10, 45]
Generated Node #0,1,1: 99:[10, 45] Operation: 90-45=45
Exploring Operation: 90/10=9, Resulting Numbers: [45, 9]
Generated Node #0,1,2: 99:[45, 9] Operation: 90/10=9
Exploring Operation: 90+10=100, Resulting Numbers: [45, 100]
Generated Node #0,1,3: 99:[45, 100] Operation: 90+10=100
Exploring Operation: 45-10=35, Resulting Numbers: [90, 35]
Generated Node #0,1,4: 99:[90, 35] Operation: 45-10=35
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 99:[10, 2], Operations: ['51-6=45', '90/45=2']
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,99 unequal: No Solution
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,99 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,99 unequal: No Solution
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 99:[90, 35], Operations: ['51-6=45', '45-10=35']
Exploring Operation: 90-35=55, Resulting Numbers: [55]
55,99 unequal: No Solution
Exploring Operation: 90+35=125, Resulting Numbers: [125]
125,99 unequal: No Solution
Exploring Operation: 90*35=3150, Resulting Numbers: [3150]
3150,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 99:[45, 9], Operations: ['51-6=45', '90/10=9']
Exploring Operation: 45-9=36, Resulting Numbers: [36]
36,99 unequal: No Solution
Exploring Operation: 45*9=405, Resulting Numbers: [405]
405,99 unequal: No Solution
Exploring Operation: 45+9=54, Resulting Numbers: [54]
54,99 unequal: No Solution
Exploring Operation: 45/9=5, Resulting Numbers: [5]
5,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 99:[10, 45], Operations: ['51-6=45', '90-45=45']
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,99 unequal: No Solution
Exploring Operation: 10+45=55, Resulting Numbers: [55]
55,99 unequal: No Solution
Exploring Operation: 10*45=450, Resulting Numbers: [450]
450,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 99:[45, 100], Operations: ['51-6=45', '90+10=100']
Exploring Operation: 45+100=145, Resulting Numbers: [145]
145,99 unequal: No Solution
Exploring Operation: 100-45=55, Resulting Numbers: [55]
55,99 unequal: No Solution
Exploring Operation: 45*100=4500, Resulting Numbers: [4500]
4500,99 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: 99:[51, 10, 96], Operations: ['90+6=96']
Exploring Operation: 96-10=86, Resulting Numbers: [51, 86]
Generated Node #0,2,0: 99:[51, 86] Operation: 96-10=86
Exploring Operation: 51-10=41, Resulting Numbers: [96, 41]
Generated Node #0,2,1: 99:[96, 41] Operation: 51-10=41
Exploring Operation: 51+10=61, Resulting Numbers: [96, 61]
Generated Node #0,2,2: 99:[96, 61] Operation: 51+10=61
Exploring Operation: 10+96=106, Resulting Numbers: [51, 106]
Generated Node #0,2,3: 99:[51, 106] Operation: 10+96=106
Exploring Operation: 96-51=45, Resulting Numbers: [10, 45]
Generated Node #0,2,4: 99:[10, 45] Operation: 96-51=45
Moving to Node #0,0,2
Current State: 99:[41, 96], Operations: ['51-10=41', '90+6=96']
Exploring Operation: 96-41=55, Resulting Numbers: [55]
55,99 unequal: No Solution
Exploring Operation: 41*96=3936, Resulting Numbers: [3936]
3936,99 unequal: No Solution
Exploring Operation: 41+96=137, Resulting Numbers: [137]
137,99 unequal: No Solution
Moving to Node #0,0,4
Current State: 99:[90, 35], Operations: ['51-10=41', '41-6=35']
Exploring Operation: 90+35=125, Resulting Numbers: [125]
125,99 unequal: No Solution
Exploring Operation: 90*35=3150, Resulting Numbers: [3150]
3150,99 unequal: No Solution
Exploring Operation: 90-35=55, Resulting Numbers: [55]
55,99 unequal: No Solution
Moving to Node #0,2,1
Current State: 99:[96, 41], Operations: ['90+6=96', '51-10=41']
Exploring Operation: 96+41=137, Resulting Numbers: [137]
137,99 unequal: No Solution
Exploring Operation: 96*41=3936, Resulting Numbers: [3936]
3936,99 unequal: No Solution
Exploring Operation: 96-41=55, Resulting Numbers: [55]
55,99 unequal: No Solution
Moving to Node #0,0,1
Current State: 99:[41, 15], Operations: ['51-10=41', '90/6=15']
Exploring Operation: 41+15=56, Resulting Numbers: [56]
56,99 unequal: No Solution
Exploring Operation: 41*15=615, Resulting Numbers: [615]
615,99 unequal: No Solution
Exploring Operation: 41-15=26, Resulting Numbers: [26]
26,99 unequal: No Solution
Moving to Node #0,3,3
Current State: 99:[9, 45], Operations: ['90/10=9', '51-6=45']
Exploring Operation: 45-9=36, Resulting Numbers: [36]
36,99 unequal: No Solution
Exploring Operation: 45/9=5, Resulting Numbers: [5]
5,99 unequal: No Solution
Exploring Operation: 9+45=54, Resulting Numbers: [54]
54,99 unequal: No Solution
Exploring Operation: 9*45=405, Resulting Numbers: [405]
405,99 unequal: No Solution
Moving to Node #0,3,1
Current State: 99:[6, 42], Operations: ['90/10=9', '51-9=42']
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,99 unequal: No Solution
Exploring Operation: 42/6=7, Resulting Numbers: [7]
7,99 unequal: No Solution
Exploring Operation: 6+42=48, Resulting Numbers: [48]
48,99 unequal: No Solution
Exploring Operation: 6*42=252, Resulting Numbers: [252]
252,99 unequal: No Solution
Moving to Node #0,2,4
Current State: 99:[10, 45], Operations: ['90+6=96', '96-51=45']
Exploring Operation: 10+45=55, Resulting Numbers: [55]
55,99 unequal: No Solution
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,99 unequal: No Solution
Exploring Operation: 10*45=450, Resulting Numbers: [450]
450,99 unequal: No Solution
Moving to Node #0,3,0
Current State: 99:[51, 3], Operations: ['90/10=9', '9-6=3']
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,99 unequal: No Solution
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,99 unequal: No Solution
Exploring Operation: 51*3=153, Resulting Numbers: [153]
153,99 unequal: No Solution
Exploring Operation: 51+3=54, Resulting Numbers: [54]
54,99 unequal: No Solution
Moving to Node #0,0,0
Current State: 99:[6, 49], Operations: ['51-10=41', '90-41=49']
Exploring Operation: 6+49=55, Resulting Numbers: [55]
55,99 unequal: No Solution
Exploring Operation: 49-6=43, Resulting Numbers: [43]
43,99 unequal: No Solution
Exploring Operation: 6*49=294, Resulting Numbers: [294]
294,99 unequal: No Solution
Moving to Node #0,3,2
Current State: 99:[51, 15], Operations: ['90/10=9', '6+9=15']
Exploring Operation: 51*15=765, Resulting Numbers: [765]
765,99 unequal: No Solution
Exploring Operation: 51+15=66, Resulting Numbers: [66]
66,99 unequal: No Solution
Exploring Operation: 51-15=36, Resulting Numbers: [36]
36,99 unequal: No Solution
Moving to Node #0,0,3
Current State: 99:[41, 84], Operations: ['51-10=41', '90-6=84']
Exploring Operation: 84-41=43, Resulting Numbers: [43]
43,99 unequal: No Solution
Exploring Operation: 41+84=125, Resulting Numbers: [125]
125,99 unequal: No Solution
Exploring Operation: 41*84=3444, Resulting Numbers: [3444]
3444,99 unequal: No Solution
Moving to Node #0,3,4
Current State: 99:[9, 57], Operations: ['90/10=9', '51+6=57']
Exploring Operation: 57-9=48, Resulting Numbers: [48]
48,99 unequal: No Solution
Exploring Operation: 9+57=66, Resulting Numbers: [66]
66,99 unequal: No Solution
Exploring Operation: 9*57=513, Resulting Numbers: [513]
513,99 unequal: No Solution
Moving to Node #0,2,3
Current State: 99:[51, 106], Operations: ['90+6=96', '10+96=106']
Exploring Operation: 106-51=55, Resulting Numbers: [55]
55,99 unequal: No Solution
Exploring Operation: 51*106=5406, Resulting Numbers: [5406]
5406,99 unequal: No Solution
Exploring Operation: 51+106=157, Resulting Numbers: [157]
157,99 unequal: No Solution
Moving to Node #0,2,0
Current State: 99:[51, 86], Operations: ['90+6=96', '96-10=86']
Exploring Operation: 51*86=4386, Resulting Numbers: [4386]
4386,99 unequal: No Solution
Exploring Operation: 51+86=137, Resulting Numbers: [137]
137,99 unequal: No Solution
Exploring Operation: 86-51=35, Resulting Numbers: [35]
35,99 unequal: No Solution
Moving to Node #0,2,2
Current State: 99:[96, 61], Operations: ['90+6=96', '51+10=61']
Exploring Operation: 96-61=35, Resulting Numbers: [35]
35,99 unequal: No Solution
Exploring Operation: 96*61=5856, Resulting Numbers: [5856]
5856,99 unequal: No Solution
Exploring Operation: 96+61=157, Resulting Numbers: [157]
157,99 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
89,
11,
72,
82
] | 90 | [
"89+11=100",
"82-72=10",
"100-10=90"
] | Current State: 90:[89, 11, 72, 82], Operations: []
Exploring Operation: 89+11=100, Resulting Numbers: [72, 82, 100]
Generated Node #2: [72, 82, 100] from Operation: 89+11=100
Current State: 90:[72, 82, 100], Operations: ['89+11=100']
Exploring Operation: 82-72=10, Resulting Numbers: [100, 10]
Generated Node #3: [100, 10] from Operation: 82-72=10
Current State: 90:[100, 10], Operations: ['89+11=100', '82-72=10']
Exploring Operation: 100-10=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[89, 11, 72, 82], Operations: []
Exploring Operation: 89-72=17, Resulting Numbers: [11, 82, 17]
Generated Node #0,0: 90:[11, 82, 17] Operation: 89-72=17
Exploring Operation: 89-82=7, Resulting Numbers: [11, 72, 7]
Generated Node #0,1: 90:[11, 72, 7] Operation: 89-82=7
Exploring Operation: 82-72=10, Resulting Numbers: [89, 11, 10]
Generated Node #0,2: 90:[89, 11, 10] Operation: 82-72=10
Exploring Operation: 11+82=93, Resulting Numbers: [89, 72, 93]
Generated Node #0,3: 90:[89, 72, 93] Operation: 11+82=93
Exploring Operation: 11+72=83, Resulting Numbers: [89, 82, 83]
Generated Node #0,4: 90:[89, 82, 83] Operation: 11+72=83
Start Sub Search at level 1: Moving to Node #0,2
Current State: 90:[89, 11, 10], Operations: ['82-72=10']
Exploring Operation: 11+10=21, Resulting Numbers: [89, 21]
Generated Node #0,2,0: 90:[89, 21] Operation: 11+10=21
Exploring Operation: 89-11=78, Resulting Numbers: [10, 78]
Generated Node #0,2,1: 90:[10, 78] Operation: 89-11=78
Exploring Operation: 11-10=1, Resulting Numbers: [89, 1]
Generated Node #0,2,2: 90:[89, 1] Operation: 11-10=1
Exploring Operation: 89+11=100, Resulting Numbers: [10, 100]
Generated Node #0,2,3: 90:[10, 100] Operation: 89+11=100
Exploring Operation: 89+10=99, Resulting Numbers: [11, 99]
Generated Node #0,2,4: 90:[11, 99] Operation: 89+10=99
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 90:[89, 1], Operations: ['82-72=10', '11-10=1']
Exploring Operation: 89+1=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[89, 11, 72, 82], Operations: []
Exploring Operation: 82-72=10, Resulting Numbers: [89, 11, 10]
Generated Node #0,2: 90:[89, 11, 10] Operation: 82-72=10
Moving to Node #0,2
Current State: 90:[89, 11, 10], Operations: ['82-72=10']
Exploring Operation: 11-10=1, Resulting Numbers: [89, 1]
Generated Node #0,2,2: 90:[89, 1] Operation: 11-10=1
Moving to Node #0,2,2
Current State: 90:[89, 1], Operations: ['82-72=10', '11-10=1']
Exploring Operation: 89+1=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
98,
55,
33,
8
] | 15 | [
"98+55=153",
"153-33=120",
"120/8=15"
] | Current State: 15:[98, 55, 33, 8], Operations: []
Exploring Operation: 98+55=153, Resulting Numbers: [33, 8, 153]
Generated Node #2: [33, 8, 153] from Operation: 98+55=153
Current State: 15:[33, 8, 153], Operations: ['98+55=153']
Exploring Operation: 153-33=120, Resulting Numbers: [8, 120]
Generated Node #3: [8, 120] from Operation: 153-33=120
Current State: 15:[8, 120], Operations: ['98+55=153', '153-33=120']
Exploring Operation: 120/8=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[98, 55, 33, 8], Operations: []
Exploring Operation: 98-55=43, Resulting Numbers: [33, 8, 43]
Generated Node #0,0: 15:[33, 8, 43] Operation: 98-55=43
Exploring Operation: 98-33=65, Resulting Numbers: [55, 8, 65]
Generated Node #0,1: 15:[55, 8, 65] Operation: 98-33=65
Moving to Node #0,0
Current State: 15:[33, 8, 43], Operations: ['98-55=43']
Exploring Operation: 33-8=25, Resulting Numbers: [43, 25]
Generated Node #0,0,0: 15:[43, 25] Operation: 33-8=25
Exploring Operation: 43-33=10, Resulting Numbers: [8, 10]
Generated Node #0,0,1: 15:[8, 10] Operation: 43-33=10
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 15:[8, 10], Operations: ['98-55=43', '43-33=10']
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Exploring Operation: 8+10=18, Resulting Numbers: [18]
18,15 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 #0,0,0
Current State: 15:[43, 25], Operations: ['98-55=43', '33-8=25']
Exploring Operation: 43-25=18, Resulting Numbers: [18]
18,15 unequal: No Solution
Exploring Operation: 43+25=68, Resulting Numbers: [68]
68,15 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: 15:[55, 8, 65], Operations: ['98-33=65']
Exploring Operation: 65-55=10, Resulting Numbers: [8, 10]
Generated Node #0,1,0: 15:[8, 10] Operation: 65-55=10
Exploring Operation: 55-8=47, Resulting Numbers: [65, 47]
Generated Node #0,1,1: 15:[65, 47] Operation: 55-8=47
Moving to Node #0,1,0
Current State: 15:[8, 10], Operations: ['98-33=65', '65-55=10']
Exploring Operation: 8+10=18, Resulting Numbers: [18]
18,15 unequal: No Solution
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Moving to Node #0,1,1
Current State: 15:[65, 47], Operations: ['98-33=65', '55-8=47']
Exploring Operation: 65-47=18, Resulting Numbers: [18]
18,15 unequal: No Solution
Exploring Operation: 65+47=112, Resulting Numbers: [112]
112,15 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
92,
59,
14,
51
] | 98 | [
"92-59=33",
"14+51=65",
"33+65=98"
] | Current State: 98:[92, 59, 14, 51], Operations: []
Exploring Operation: 92-59=33, Resulting Numbers: [14, 51, 33]
Generated Node #2: [14, 51, 33] from Operation: 92-59=33
Current State: 98:[14, 51, 33], Operations: ['92-59=33']
Exploring Operation: 14+51=65, Resulting Numbers: [33, 65]
Generated Node #3: [33, 65] from Operation: 14+51=65
Current State: 98:[33, 65], Operations: ['92-59=33', '14+51=65']
Exploring Operation: 33+65=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[92, 59, 14, 51], Operations: []
Exploring Operation: 92-59=33, Resulting Numbers: [14, 51, 33]
Generated Node #0,0: 98:[14, 51, 33] Operation: 92-59=33
Exploring Operation: 92-51=41, Resulting Numbers: [59, 14, 41]
Generated Node #0,1: 98:[59, 14, 41] Operation: 92-51=41
Exploring Operation: 59-14=45, Resulting Numbers: [92, 51, 45]
Generated Node #0,2: 98:[92, 51, 45] Operation: 59-14=45
Exploring Operation: 59-51=8, Resulting Numbers: [92, 14, 8]
Generated Node #0,3: 98:[92, 14, 8] Operation: 59-51=8
Start Sub Search at level 1: Moving to Node #0,3
Current State: 98:[92, 14, 8], Operations: ['59-51=8']
Exploring Operation: 92-8=84, Resulting Numbers: [14, 84]
Generated Node #0,3,0: 98:[14, 84] Operation: 92-8=84
Exploring Operation: 14-8=6, Resulting Numbers: [92, 6]
Generated Node #0,3,1: 98:[92, 6] Operation: 14-8=6
Exploring Operation: 92+8=100, Resulting Numbers: [14, 100]
Generated Node #0,3,2: 98:[14, 100] Operation: 92+8=100
Exploring Operation: 92+14=106, Resulting Numbers: [8, 106]
Generated Node #0,3,3: 98:[8, 106] Operation: 92+14=106
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 98:[14, 100], Operations: ['59-51=8', '92+8=100']
Exploring Operation: 100-14=86, Resulting Numbers: [86]
86,98 unequal: No Solution
Exploring Operation: 14*100=1400, Resulting Numbers: [1400]
1400,98 unequal: No Solution
Exploring Operation: 14+100=114, Resulting Numbers: [114]
114,98 unequal: No Solution
No 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: 98:[92, 6], Operations: ['59-51=8', '14-8=6']
Exploring Operation: 92*6=552, Resulting Numbers: [552]
552,98 unequal: No Solution
Exploring Operation: 92-6=86, Resulting Numbers: [86]
86,98 unequal: No Solution
Exploring Operation: 92+6=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[92, 59, 14, 51], Operations: []
Exploring Operation: 59-51=8, Resulting Numbers: [92, 14, 8]
Generated Node #0,3: 98:[92, 14, 8] Operation: 59-51=8
Moving to Node #0,3
Current State: 98:[92, 14, 8], Operations: ['59-51=8']
Exploring Operation: 14-8=6, Resulting Numbers: [92, 6]
Generated Node #0,3,1: 98:[92, 6] Operation: 14-8=6
Moving to Node #0,3,1
Current State: 98:[92, 6], Operations: ['59-51=8', '14-8=6']
Exploring Operation: 92+6=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
35,
54,
19,
74
] | 74 | [
"54-35=19",
"19+74=93",
"93-19=74"
] | Current State: 74:[35, 54, 19, 74], Operations: []
Exploring Operation: 54-35=19, Resulting Numbers: [19, 74, 19]
Generated Node #2: [19, 74, 19] from Operation: 54-35=19
Current State: 74:[19, 74, 19], Operations: ['54-35=19']
Exploring Operation: 19+74=93, Resulting Numbers: [93]
93,74 equal: Goal Reached
Exploring Operation: 93-19=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[35, 54, 19, 74], Operations: []
Exploring Operation: 54+19=73, Resulting Numbers: [35, 74, 73]
Generated Node #0,0: 74:[35, 74, 73] Operation: 54+19=73
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[35, 74, 73], Operations: ['54+19=73']
Exploring Operation: 73-35=38, Resulting Numbers: [74, 38]
Generated Node #0,0,0: 74:[74, 38] Operation: 73-35=38
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 74:[74, 38], Operations: ['54+19=73', '73-35=38']
Exploring Operation: 74-38=36, Resulting Numbers: [36]
36,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
86,
51,
89,
97
] | 43 | [
"86-51=35",
"97-89=8",
"35+8=43"
] | Current State: 43:[86, 51, 89, 97], Operations: []
Exploring Operation: 86-51=35, Resulting Numbers: [89, 97, 35]
Generated Node #2: [89, 97, 35] from Operation: 86-51=35
Current State: 43:[89, 97, 35], Operations: ['86-51=35']
Exploring Operation: 97-89=8, Resulting Numbers: [35, 8]
Generated Node #3: [35, 8] from Operation: 97-89=8
Current State: 43:[35, 8], Operations: ['86-51=35', '97-89=8']
Exploring Operation: 35+8=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[86, 51, 89, 97], Operations: []
Exploring Operation: 97-51=46, Resulting Numbers: [86, 89, 46]
Generated Node #0,0: 43:[86, 89, 46] Operation: 97-51=46
Exploring Operation: 97-89=8, Resulting Numbers: [86, 51, 8]
Generated Node #0,1: 43:[86, 51, 8] Operation: 97-89=8
Exploring Operation: 97-86=11, Resulting Numbers: [51, 89, 11]
Generated Node #0,2: 43:[51, 89, 11] Operation: 97-86=11
Start Sub Search at level 1: Moving to Node #0,1
Current State: 43:[86, 51, 8], Operations: ['97-89=8']
Exploring Operation: 86-51=35, Resulting Numbers: [8, 35]
Generated Node #0,1,0: 43:[8, 35] Operation: 86-51=35
Exploring Operation: 51-8=43, Resulting Numbers: [86, 43]
Generated Node #0,1,1: 43:[86, 43] Operation: 51-8=43
Exploring Operation: 86-8=78, Resulting Numbers: [51, 78]
Generated Node #0,1,2: 43:[51, 78] Operation: 86-8=78
Moving to Node #0,1,0
Current State: 43:[8, 35], Operations: ['97-89=8', '86-51=35']
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,43 unequal: No Solution
Exploring Operation: 8+35=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[86, 51, 89, 97], Operations: []
Exploring Operation: 97-89=8, Resulting Numbers: [86, 51, 8]
Generated Node #0,1: 43:[86, 51, 8] Operation: 97-89=8
Moving to Node #0,1
Current State: 43:[86, 51, 8], Operations: ['97-89=8']
Exploring Operation: 86-51=35, Resulting Numbers: [8, 35]
Generated Node #0,1,0: 43:[8, 35] Operation: 86-51=35
Moving to Node #0,1,0
Current State: 43:[8, 35], Operations: ['97-89=8', '86-51=35']
Exploring Operation: 8+35=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
43,
4,
33,
11
] | 29 | [
"43-33=10",
"4*10=40",
"40-11=29"
] | Current State: 29:[43, 4, 33, 11], Operations: []
Exploring Operation: 43-33=10, Resulting Numbers: [4, 11, 10]
Generated Node #2: [4, 11, 10] from Operation: 43-33=10
Current State: 29:[4, 11, 10], Operations: ['43-33=10']
Exploring Operation: 4*10=40, Resulting Numbers: [11, 40]
Generated Node #3: [11, 40] from Operation: 4*10=40
Current State: 29:[11, 40], Operations: ['43-33=10', '4*10=40']
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[43, 4, 33, 11], Operations: []
Exploring Operation: 43-4=39, Resulting Numbers: [33, 11, 39]
Generated Node #0,0: 29:[33, 11, 39] Operation: 43-4=39
Exploring Operation: 43-11=32, Resulting Numbers: [4, 33, 32]
Generated Node #0,1: 29:[4, 33, 32] Operation: 43-11=32
Exploring Operation: 33-4=29, Resulting Numbers: [43, 11, 29]
Generated Node #0,2: 29:[43, 11, 29] Operation: 33-4=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[33, 11, 39], Operations: ['43-4=39']
Exploring Operation: 33-11=22, Resulting Numbers: [39, 22]
Generated Node #0,0,0: 29:[39, 22] Operation: 33-11=22
Exploring Operation: 39-11=28, Resulting Numbers: [33, 28]
Generated Node #0,0,1: 29:[33, 28] Operation: 39-11=28
Exploring Operation: 33+11=44, Resulting Numbers: [39, 44]
Generated Node #0,0,2: 29:[39, 44] Operation: 33+11=44
Moving to Node #0,0,1
Current State: 29:[33, 28], Operations: ['43-4=39', '39-11=28']
Exploring Operation: 33+28=61, Resulting Numbers: [61]
61,29 unequal: No Solution
Exploring Operation: 33-28=5, Resulting Numbers: [5]
5,29 unequal: No Solution
Exploring Operation: 33*28=924, Resulting Numbers: [924]
924,29 unequal: No Solution
Moving to Node #0,0,0
Current State: 29:[39, 22], Operations: ['43-4=39', '33-11=22']
Exploring Operation: 39-22=17, Resulting Numbers: [17]
17,29 unequal: No Solution
Exploring Operation: 39*22=858, Resulting Numbers: [858]
858,29 unequal: No Solution
Exploring Operation: 39+22=61, Resulting Numbers: [61]
61,29 unequal: No Solution
Moving to Node #0,0,2
Current State: 29:[39, 44], Operations: ['43-4=39', '33+11=44']
Exploring Operation: 44-39=5, Resulting Numbers: [5]
5,29 unequal: No Solution
Exploring Operation: 39+44=83, Resulting Numbers: [83]
83,29 unequal: No Solution
Exploring Operation: 39*44=1716, Resulting Numbers: [1716]
1716,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 29:[4, 33, 32], Operations: ['43-11=32']
Exploring Operation: 33-4=29, Resulting Numbers: [32, 29]
Generated Node #0,1,0: 29:[32, 29] Operation: 33-4=29
Exploring Operation: 4+33=37, Resulting Numbers: [32, 37]
Generated Node #0,1,1: 29:[32, 37] Operation: 4+33=37
Exploring Operation: 32-4=28, Resulting Numbers: [33, 28]
Generated Node #0,1,2: 29:[33, 28] Operation: 32-4=28
Moving to Node #0,1,0
Current State: 29:[32, 29], Operations: ['43-11=32', '33-4=29']
Exploring Operation: 32*29=928, Resulting Numbers: [928]
928,29 unequal: No Solution
Exploring Operation: 32-29=3, Resulting Numbers: [3]
3,29 unequal: No Solution
Exploring Operation: 32+29=61, Resulting Numbers: [61]
61,29 unequal: No Solution
Moving to Node #0,1,2
Current State: 29:[33, 28], Operations: ['43-11=32', '32-4=28']
Exploring Operation: 33*28=924, Resulting Numbers: [924]
924,29 unequal: No Solution
Exploring Operation: 33+28=61, Resulting Numbers: [61]
61,29 unequal: No Solution
Exploring Operation: 33-28=5, Resulting Numbers: [5]
5,29 unequal: No Solution
Moving to Node #0,1,1
Current State: 29:[32, 37], Operations: ['43-11=32', '4+33=37']
Exploring Operation: 32*37=1184, Resulting Numbers: [1184]
1184,29 unequal: No Solution
Exploring Operation: 37-32=5, Resulting Numbers: [5]
5,29 unequal: No Solution
Exploring Operation: 32+37=69, Resulting Numbers: [69]
69,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 29:[43, 11, 29], Operations: ['33-4=29']
Exploring Operation: 11+29=40, Resulting Numbers: [43, 40]
Generated Node #0,2,0: 29:[43, 40] Operation: 11+29=40
Exploring Operation: 43-11=32, Resulting Numbers: [29, 32]
Generated Node #0,2,1: 29:[29, 32] Operation: 43-11=32
Exploring Operation: 43+11=54, Resulting Numbers: [29, 54]
Generated Node #0,2,2: 29:[29, 54] Operation: 43+11=54
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 29:[29, 32], Operations: ['33-4=29', '43-11=32']
Exploring Operation: 29*32=928, Resulting Numbers: [928]
928,29 unequal: No Solution
Exploring Operation: 29+32=61, Resulting Numbers: [61]
61,29 unequal: No Solution
Exploring Operation: 32-29=3, Resulting Numbers: [3]
3,29 unequal: No Solution
No 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: 29:[43, 40], Operations: ['33-4=29', '11+29=40']
Exploring Operation: 43-40=3, Resulting Numbers: [3]
3,29 unequal: No Solution
Exploring Operation: 43*40=1720, Resulting Numbers: [1720]
1720,29 unequal: No Solution
Exploring Operation: 43+40=83, Resulting Numbers: [83]
83,29 unequal: No Solution
No 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: 29:[29, 54], Operations: ['33-4=29', '43+11=54']
Exploring Operation: 54-29=25, Resulting Numbers: [25]
25,29 unequal: No Solution
Exploring Operation: 29*54=1566, Resulting Numbers: [1566]
1566,29 unequal: No Solution
Exploring Operation: 29+54=83, Resulting Numbers: [83]
83,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
33,
58,
73,
90
] | 73 | [
"33+58=91",
"91-90=1",
"73*1=73"
] | Current State: 73:[33, 58, 73, 90], Operations: []
Exploring Operation: 33+58=91, Resulting Numbers: [73, 90, 91]
Generated Node #2: [73, 90, 91] from Operation: 33+58=91
Current State: 73:[73, 90, 91], Operations: ['33+58=91']
Exploring Operation: 91-90=1, Resulting Numbers: [73, 1]
Generated Node #3: [73, 1] from Operation: 91-90=1
Current State: 73:[73, 1], Operations: ['33+58=91', '91-90=1']
Exploring Operation: 73*1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[33, 58, 73, 90], Operations: []
Exploring Operation: 90-33=57, Resulting Numbers: [58, 73, 57]
Generated Node #0,0: 73:[58, 73, 57] Operation: 90-33=57
Moving to Node #0,0
Current State: 73:[58, 73, 57], Operations: ['90-33=57']
Exploring Operation: 58+57=115, Resulting Numbers: [73, 115]
Generated Node #0,0,0: 73:[73, 115] Operation: 58+57=115
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 73:[73, 115], Operations: ['90-33=57', '58+57=115']
Exploring Operation: 115-73=42, Resulting Numbers: [42]
42,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
92,
25,
8,
69
] | 73 | [
"92+8=100",
"100/25=4",
"69+4=73"
] | Current State: 73:[92, 25, 8, 69], Operations: []
Exploring Operation: 92+8=100, Resulting Numbers: [25, 69, 100]
Generated Node #2: [25, 69, 100] from Operation: 92+8=100
Current State: 73:[25, 69, 100], Operations: ['92+8=100']
Exploring Operation: 100/25=4, Resulting Numbers: [69, 4]
Generated Node #3: [69, 4] from Operation: 100/25=4
Current State: 73:[69, 4], Operations: ['92+8=100', '100/25=4']
Exploring Operation: 69+4=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[92, 25, 8, 69], Operations: []
Exploring Operation: 92-8=84, Resulting Numbers: [25, 69, 84]
Generated Node #0,0: 73:[25, 69, 84] Operation: 92-8=84
Exploring Operation: 8+69=77, Resulting Numbers: [92, 25, 77]
Generated Node #0,1: 73:[92, 25, 77] Operation: 8+69=77
Exploring Operation: 25+8=33, Resulting Numbers: [92, 69, 33]
Generated Node #0,2: 73:[92, 69, 33] Operation: 25+8=33
Exploring Operation: 92-25=67, Resulting Numbers: [8, 69, 67]
Generated Node #0,3: 73:[8, 69, 67] Operation: 92-25=67
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[25, 69, 84], Operations: ['92-8=84']
Exploring Operation: 25+69=94, Resulting Numbers: [84, 94]
Generated Node #0,0,0: 73:[84, 94] Operation: 25+69=94
Exploring Operation: 69-25=44, Resulting Numbers: [84, 44]
Generated Node #0,0,1: 73:[84, 44] Operation: 69-25=44
Exploring Operation: 84-25=59, Resulting Numbers: [69, 59]
Generated Node #0,0,2: 73:[69, 59] Operation: 84-25=59
Exploring Operation: 25+84=109, Resulting Numbers: [69, 109]
Generated Node #0,0,3: 73:[69, 109] Operation: 25+84=109
Moving to Node #0,0,2
Current State: 73:[69, 59], Operations: ['92-8=84', '84-25=59']
Exploring Operation: 69-59=10, Resulting Numbers: [10]
10,73 unequal: No Solution
Exploring Operation: 69+59=128, Resulting Numbers: [128]
128,73 unequal: No Solution
Exploring Operation: 69*59=4071, Resulting Numbers: [4071]
4071,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[84, 94], Operations: ['92-8=84', '25+69=94']
Exploring Operation: 84*94=7896, Resulting Numbers: [7896]
7896,73 unequal: No Solution
Exploring Operation: 94-84=10, Resulting Numbers: [10]
10,73 unequal: No Solution
Exploring Operation: 84+94=178, Resulting Numbers: [178]
178,73 unequal: No Solution
Moving to Node #0,0,3
Current State: 73:[69, 109], Operations: ['92-8=84', '25+84=109']
Exploring Operation: 109-69=40, Resulting Numbers: [40]
40,73 unequal: No Solution
Exploring Operation: 69*109=7521, Resulting Numbers: [7521]
7521,73 unequal: No Solution
Exploring Operation: 69+109=178, Resulting Numbers: [178]
178,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[84, 44], Operations: ['92-8=84', '69-25=44']
Exploring Operation: 84-44=40, Resulting Numbers: [40]
40,73 unequal: No Solution
Exploring Operation: 84+44=128, Resulting Numbers: [128]
128,73 unequal: No Solution
Exploring Operation: 84*44=3696, Resulting Numbers: [3696]
3696,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 73:[92, 69, 33], Operations: ['25+8=33']
Exploring Operation: 92-33=59, Resulting Numbers: [69, 59]
Generated Node #0,2,0: 73:[69, 59] Operation: 92-33=59
Exploring Operation: 69-33=36, Resulting Numbers: [92, 36]
Generated Node #0,2,1: 73:[92, 36] Operation: 69-33=36
Exploring Operation: 92+33=125, Resulting Numbers: [69, 125]
Generated Node #0,2,2: 73:[69, 125] Operation: 92+33=125
Exploring Operation: 69+33=102, Resulting Numbers: [92, 102]
Generated Node #0,2,3: 73:[92, 102] Operation: 69+33=102
Moving to Node #0,2,0
Current State: 73:[69, 59], Operations: ['25+8=33', '92-33=59']
Exploring Operation: 69+59=128, Resulting Numbers: [128]
128,73 unequal: No Solution
Exploring Operation: 69-59=10, Resulting Numbers: [10]
10,73 unequal: No Solution
Exploring Operation: 69*59=4071, Resulting Numbers: [4071]
4071,73 unequal: No Solution
Moving to Node #0,2,3
Current State: 73:[92, 102], Operations: ['25+8=33', '69+33=102']
Exploring Operation: 92+102=194, Resulting Numbers: [194]
194,73 unequal: No Solution
Exploring Operation: 102-92=10, Resulting Numbers: [10]
10,73 unequal: No Solution
Exploring Operation: 92*102=9384, Resulting Numbers: [9384]
9384,73 unequal: No Solution
Moving to Node #0,2,2
Current State: 73:[69, 125], Operations: ['25+8=33', '92+33=125']
Exploring Operation: 69*125=8625, Resulting Numbers: [8625]
8625,73 unequal: No Solution
Exploring Operation: 69+125=194, Resulting Numbers: [194]
194,73 unequal: No Solution
Exploring Operation: 125-69=56, Resulting Numbers: [56]
56,73 unequal: No Solution
Moving to Node #0,2,1
Current State: 73:[92, 36], Operations: ['25+8=33', '69-33=36']
Exploring Operation: 92+36=128, Resulting Numbers: [128]
128,73 unequal: No Solution
Exploring Operation: 92*36=3312, Resulting Numbers: [3312]
3312,73 unequal: No Solution
Exploring Operation: 92-36=56, Resulting Numbers: [56]
56,73 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
Current State: 73:[92, 25, 77], Operations: ['8+69=77']
Exploring Operation: 92-25=67, Resulting Numbers: [77, 67]
Generated Node #0,1,0: 73:[77, 67] Operation: 92-25=67
Exploring Operation: 25+77=102, Resulting Numbers: [92, 102]
Generated Node #0,1,1: 73:[92, 102] Operation: 25+77=102
Exploring Operation: 77-25=52, Resulting Numbers: [92, 52]
Generated Node #0,1,2: 73:[92, 52] Operation: 77-25=52
Exploring Operation: 92+25=117, Resulting Numbers: [77, 117]
Generated Node #0,1,3: 73:[77, 117] Operation: 92+25=117
Moving to Node #0,1,0
Current State: 73:[77, 67], Operations: ['8+69=77', '92-25=67']
Exploring Operation: 77*67=5159, Resulting Numbers: [5159]
5159,73 unequal: No Solution
Exploring Operation: 77+67=144, Resulting Numbers: [144]
144,73 unequal: No Solution
Exploring Operation: 77-67=10, Resulting Numbers: [10]
10,73 unequal: No Solution
Moving to Node #0,1,2
Current State: 73:[92, 52], Operations: ['8+69=77', '77-25=52']
Exploring Operation: 92*52=4784, Resulting Numbers: [4784]
4784,73 unequal: No Solution
Exploring Operation: 92-52=40, Resulting Numbers: [40]
40,73 unequal: No Solution
Exploring Operation: 92+52=144, Resulting Numbers: [144]
144,73 unequal: No Solution
Moving to Node #0,1,3
Current State: 73:[77, 117], Operations: ['8+69=77', '92+25=117']
Exploring Operation: 77*117=9009, Resulting Numbers: [9009]
9009,73 unequal: No Solution
Exploring Operation: 77+117=194, Resulting Numbers: [194]
194,73 unequal: No Solution
Exploring Operation: 117-77=40, Resulting Numbers: [40]
40,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[92, 102], Operations: ['8+69=77', '25+77=102']
Exploring Operation: 102-92=10, Resulting Numbers: [10]
10,73 unequal: No Solution
Exploring Operation: 92+102=194, Resulting Numbers: [194]
194,73 unequal: No Solution
Exploring Operation: 92*102=9384, Resulting Numbers: [9384]
9384,73 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 #0,3
Current State: 73:[8, 69, 67], Operations: ['92-25=67']
Exploring Operation: 69-8=61, Resulting Numbers: [67, 61]
Generated Node #0,3,0: 73:[67, 61] Operation: 69-8=61
Exploring Operation: 67-8=59, Resulting Numbers: [69, 59]
Generated Node #0,3,1: 73:[69, 59] Operation: 67-8=59
Exploring Operation: 8+67=75, Resulting Numbers: [69, 75]
Generated Node #0,3,2: 73:[69, 75] Operation: 8+67=75
Exploring Operation: 8+69=77, Resulting Numbers: [67, 77]
Generated Node #0,3,3: 73:[67, 77] Operation: 8+69=77
Moving to Node #0,3,2
Current State: 73:[69, 75], Operations: ['92-25=67', '8+67=75']
Exploring Operation: 69+75=144, Resulting Numbers: [144]
144,73 unequal: No Solution
Exploring Operation: 69*75=5175, Resulting Numbers: [5175]
5175,73 unequal: No Solution
Exploring Operation: 75-69=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Moving to Node #0,3,3
Current State: 73:[67, 77], Operations: ['92-25=67', '8+69=77']
Exploring Operation: 67+77=144, Resulting Numbers: [144]
144,73 unequal: No Solution
Exploring Operation: 67*77=5159, Resulting Numbers: [5159]
5159,73 unequal: No Solution
Exploring Operation: 77-67=10, Resulting Numbers: [10]
10,73 unequal: No Solution
Moving to Node #0,3,1
Current State: 73:[69, 59], Operations: ['92-25=67', '67-8=59']
Exploring Operation: 69-59=10, Resulting Numbers: [10]
10,73 unequal: No Solution
Exploring Operation: 69+59=128, Resulting Numbers: [128]
128,73 unequal: No Solution
Exploring Operation: 69*59=4071, Resulting Numbers: [4071]
4071,73 unequal: No Solution
Moving to Node #0,3,0
Current State: 73:[67, 61], Operations: ['92-25=67', '69-8=61']
Exploring Operation: 67-61=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 67*61=4087, Resulting Numbers: [4087]
4087,73 unequal: No Solution
Exploring Operation: 67+61=128, Resulting Numbers: [128]
128,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
20,
57,
63,
51
] | 65 | [
"20+57=77",
"63-51=12",
"77-12=65"
] | Current State: 65:[20, 57, 63, 51], Operations: []
Exploring Operation: 20+57=77, Resulting Numbers: [63, 51, 77]
Generated Node #2: [63, 51, 77] from Operation: 20+57=77
Current State: 65:[63, 51, 77], Operations: ['20+57=77']
Exploring Operation: 63-51=12, Resulting Numbers: [77, 12]
Generated Node #3: [77, 12] from Operation: 63-51=12
Current State: 65:[77, 12], Operations: ['20+57=77', '63-51=12']
Exploring Operation: 77-12=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[20, 57, 63, 51], Operations: []
Exploring Operation: 20+51=71, Resulting Numbers: [57, 63, 71]
Generated Node #0,0: 65:[57, 63, 71] Operation: 20+51=71
Exploring Operation: 20+57=77, Resulting Numbers: [63, 51, 77]
Generated Node #0,1: 65:[63, 51, 77] Operation: 20+57=77
Exploring Operation: 63-57=6, Resulting Numbers: [20, 51, 6]
Generated Node #0,2: 65:[20, 51, 6] Operation: 63-57=6
Exploring Operation: 57-51=6, Resulting Numbers: [20, 63, 6]
Generated Node #0,3: 65:[20, 63, 6] Operation: 57-51=6
Exploring Operation: 63-51=12, Resulting Numbers: [20, 57, 12]
Generated Node #0,4: 65:[20, 57, 12] Operation: 63-51=12
Start Sub Search at level 1: Moving to Node #0,3
Current State: 65:[20, 63, 6], Operations: ['57-51=6']
Exploring Operation: 63+6=69, Resulting Numbers: [20, 69]
Generated Node #0,3,0: 65:[20, 69] Operation: 63+6=69
Exploring Operation: 20+63=83, Resulting Numbers: [6, 83]
Generated Node #0,3,1: 65:[6, 83] Operation: 20+63=83
Exploring Operation: 20+6=26, Resulting Numbers: [63, 26]
Generated Node #0,3,2: 65:[63, 26] Operation: 20+6=26
Exploring Operation: 63-6=57, Resulting Numbers: [20, 57]
Generated Node #0,3,3: 65:[20, 57] Operation: 63-6=57
Exploring Operation: 20-6=14, Resulting Numbers: [63, 14]
Generated Node #0,3,4: 65:[63, 14] Operation: 20-6=14
Moving to Node #0,3,4
Current State: 65:[63, 14], Operations: ['57-51=6', '20-6=14']
Exploring Operation: 63+14=77, Resulting Numbers: [77]
77,65 unequal: No Solution
Exploring Operation: 63-14=49, Resulting Numbers: [49]
49,65 unequal: No Solution
Exploring Operation: 63*14=882, Resulting Numbers: [882]
882,65 unequal: No Solution
Moving to Node #0,3,0
Current State: 65:[20, 69], Operations: ['57-51=6', '63+6=69']
Exploring Operation: 20+69=89, Resulting Numbers: [89]
89,65 unequal: No Solution
Exploring Operation: 69-20=49, Resulting Numbers: [49]
49,65 unequal: No Solution
Exploring Operation: 20*69=1380, Resulting Numbers: [1380]
1380,65 unequal: No Solution
Moving to Node #0,3,2
Current State: 65:[63, 26], Operations: ['57-51=6', '20+6=26']
Exploring Operation: 63*26=1638, Resulting Numbers: [1638]
1638,65 unequal: No Solution
Exploring Operation: 63-26=37, Resulting Numbers: [37]
37,65 unequal: No Solution
Exploring Operation: 63+26=89, Resulting Numbers: [89]
89,65 unequal: No Solution
Moving to Node #0,3,3
Current State: 65:[20, 57], Operations: ['57-51=6', '63-6=57']
Exploring Operation: 57-20=37, Resulting Numbers: [37]
37,65 unequal: No Solution
Exploring Operation: 20+57=77, Resulting Numbers: [77]
77,65 unequal: No Solution
Exploring Operation: 20*57=1140, Resulting Numbers: [1140]
1140,65 unequal: No Solution
Moving to Node #0,3,1
Current State: 65:[6, 83], Operations: ['57-51=6', '20+63=83']
Exploring Operation: 6*83=498, Resulting Numbers: [498]
498,65 unequal: No Solution
Exploring Operation: 83-6=77, Resulting Numbers: [77]
77,65 unequal: No Solution
Exploring Operation: 6+83=89, Resulting Numbers: [89]
89,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[57, 63, 71], Operations: ['20+51=71']
Exploring Operation: 71-63=8, Resulting Numbers: [57, 8]
Generated Node #0,0,0: 65:[57, 8] Operation: 71-63=8
Exploring Operation: 63-57=6, Resulting Numbers: [71, 6]
Generated Node #0,0,1: 65:[71, 6] Operation: 63-57=6
Exploring Operation: 71-57=14, Resulting Numbers: [63, 14]
Generated Node #0,0,2: 65:[63, 14] Operation: 71-57=14
Exploring Operation: 57+63=120, Resulting Numbers: [71, 120]
Generated Node #0,0,3: 65:[71, 120] Operation: 57+63=120
Exploring Operation: 57+71=128, Resulting Numbers: [63, 128]
Generated Node #0,0,4: 65:[63, 128] Operation: 57+71=128
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 65:[63, 14], Operations: ['20+51=71', '71-57=14']
Exploring Operation: 63+14=77, Resulting Numbers: [77]
77,65 unequal: No Solution
Exploring Operation: 63-14=49, Resulting Numbers: [49]
49,65 unequal: No Solution
Exploring Operation: 63*14=882, Resulting Numbers: [882]
882,65 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:[71, 6], Operations: ['20+51=71', '63-57=6']
Exploring Operation: 71-6=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[20, 57, 63, 51], Operations: []
Exploring Operation: 20+51=71, Resulting Numbers: [57, 63, 71]
Generated Node #0,0: 65:[57, 63, 71] Operation: 20+51=71
Moving to Node #0,0
Current State: 65:[57, 63, 71], Operations: ['20+51=71']
Exploring Operation: 63-57=6, Resulting Numbers: [71, 6]
Generated Node #0,0,1: 65:[71, 6] Operation: 63-57=6
Moving to Node #0,0,1
Current State: 65:[71, 6], Operations: ['20+51=71', '63-57=6']
Exploring Operation: 71-6=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967014 | hs_5 | mult_heuristic |
[
18,
87,
18,
71
] | 20 | [
"87-18=69",
"18+71=89",
"89-69=20"
] | Current State: 20:[18, 87, 18, 71], Operations: []
Exploring Operation: 87-18=69, Resulting Numbers: [71, 69]
Generated Node #2: [71, 69] from Operation: 87-18=69
Current State: 20:[71, 69], Operations: ['87-18=69']
Exploring Operation: 18+71=89, Resulting Numbers: [69, 89]
Generated Node #3: [69, 89] from Operation: 18+71=89
Current State: 20:[69, 89], Operations: ['87-18=69', '18+71=89']
Exploring Operation: 89-69=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[18, 87, 18, 71], Operations: []
Exploring Operation: 87-18=69, Resulting Numbers: [18, 71, 69]
Generated Node #0,0: 20:[18, 71, 69] Operation: 87-18=69
Exploring Operation: 87-71=16, Resulting Numbers: [18, 18, 16]
Generated Node #0,1: 20:[18, 18, 16] Operation: 87-71=16
Exploring Operation: 71-18=53, Resulting Numbers: [87, 18, 53]
Generated Node #0,2: 20:[87, 18, 53] Operation: 71-18=53
Exploring Operation: 87-18=69, Resulting Numbers: [18, 71, 69]
Generated Node #0,3: 20:[18, 71, 69] Operation: 87-18=69
Start Sub Search at level 1: Moving to Node #0,1
Current State: 20:[18, 18, 16], Operations: ['87-71=16']
Exploring Operation: 18-18=0, Resulting Numbers: [16, 0]
Generated Node #0,1,0: 20:[16, 0] Operation: 18-18=0
Exploring Operation: 18-16=2, Resulting Numbers: [18, 2]
Generated Node #0,1,1: 20:[18, 2] Operation: 18-16=2
Exploring Operation: 18-16=2, Resulting Numbers: [18, 2]
Generated Node #0,1,2: 20:[18, 2] Operation: 18-16=2
Exploring Operation: 18/18=1, Resulting Numbers: [16, 1]
Generated Node #0,1,3: 20:[16, 1] Operation: 18/18=1
Moving to Node #0,1,1
Current State: 20:[18, 2], Operations: ['87-71=16', '18-16=2']
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,20 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,20 unequal: No Solution
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[18, 87, 18, 71], Operations: []
Exploring Operation: 87-71=16, Resulting Numbers: [18, 18, 16]
Generated Node #0,1: 20:[18, 18, 16] Operation: 87-71=16
Moving to Node #0,1
Current State: 20:[18, 18, 16], Operations: ['87-71=16']
Exploring Operation: 18-16=2, Resulting Numbers: [18, 2]
Generated Node #0,1,1: 20:[18, 2] Operation: 18-16=2
Moving to Node #0,1,1
Current State: 20:[18, 2], Operations: ['87-71=16', '18-16=2']
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
43,
34,
68,
93
] | 16 | [
"43-34=9",
"93-68=25",
"25-9=16"
] | Current State: 16:[43, 34, 68, 93], Operations: []
Exploring Operation: 43-34=9, Resulting Numbers: [68, 93, 9]
Generated Node #2: [68, 93, 9] from Operation: 43-34=9
Current State: 16:[68, 93, 9], Operations: ['43-34=9']
Exploring Operation: 93-68=25, Resulting Numbers: [9, 25]
Generated Node #3: [9, 25] from Operation: 93-68=25
Current State: 16:[9, 25], Operations: ['43-34=9', '93-68=25']
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[43, 34, 68, 93], Operations: []
Exploring Operation: 93-43=50, Resulting Numbers: [34, 68, 50]
Generated Node #0,0: 16:[34, 68, 50] Operation: 93-43=50
Exploring Operation: 68/34=2, Resulting Numbers: [43, 93, 2]
Generated Node #0,1: 16:[43, 93, 2] Operation: 68/34=2
Exploring Operation: 68-34=34, Resulting Numbers: [43, 93, 34]
Generated Node #0,2: 16:[43, 93, 34] Operation: 68-34=34
Exploring Operation: 93-68=25, Resulting Numbers: [43, 34, 25]
Generated Node #0,3: 16:[43, 34, 25] Operation: 93-68=25
Exploring Operation: 68-43=25, Resulting Numbers: [34, 93, 25]
Generated Node #0,4: 16:[34, 93, 25] Operation: 68-43=25
Moving to Node #0,3
Current State: 16:[43, 34, 25], Operations: ['93-68=25']
Exploring Operation: 34-25=9, Resulting Numbers: [43, 9]
Generated Node #0,3,0: 16:[43, 9] Operation: 34-25=9
Exploring Operation: 43+25=68, Resulting Numbers: [34, 68]
Generated Node #0,3,1: 16:[34, 68] Operation: 43+25=68
Exploring Operation: 43-34=9, Resulting Numbers: [25, 9]
Generated Node #0,3,2: 16:[25, 9] Operation: 43-34=9
Exploring Operation: 43-25=18, Resulting Numbers: [34, 18]
Generated Node #0,3,3: 16:[34, 18] Operation: 43-25=18
Exploring Operation: 43+34=77, Resulting Numbers: [25, 77]
Generated Node #0,3,4: 16:[25, 77] Operation: 43+34=77
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 16:[25, 9], Operations: ['93-68=25', '43-34=9']
Exploring Operation: 25+9=34, Resulting Numbers: [34]
34,16 unequal: No Solution
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[43, 34, 68, 93], Operations: []
Exploring Operation: 93-68=25, Resulting Numbers: [43, 34, 25]
Generated Node #0,3: 16:[43, 34, 25] Operation: 93-68=25
Moving to Node #0,3
Current State: 16:[43, 34, 25], Operations: ['93-68=25']
Exploring Operation: 43-34=9, Resulting Numbers: [25, 9]
Generated Node #0,3,2: 16:[25, 9] Operation: 43-34=9
Moving to Node #0,3,2
Current State: 16:[25, 9], Operations: ['93-68=25', '43-34=9']
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
6,
33,
81,
35
] | 89 | [
"33-6=27",
"81+35=116",
"116-27=89"
] | Current State: 89:[6, 33, 81, 35], Operations: []
Exploring Operation: 33-6=27, Resulting Numbers: [81, 35, 27]
Generated Node #2: [81, 35, 27] from Operation: 33-6=27
Current State: 89:[81, 35, 27], Operations: ['33-6=27']
Exploring Operation: 81+35=116, Resulting Numbers: [27, 116]
Generated Node #3: [27, 116] from Operation: 81+35=116
Current State: 89:[27, 116], Operations: ['33-6=27', '81+35=116']
Exploring Operation: 116-27=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[6, 33, 81, 35], Operations: []
Exploring Operation: 6+33=39, Resulting Numbers: [81, 35, 39]
Generated Node #0,0: 89:[81, 35, 39] Operation: 6+33=39
Exploring Operation: 6+81=87, Resulting Numbers: [33, 35, 87]
Generated Node #0,1: 89:[33, 35, 87] Operation: 6+81=87
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[81, 35, 39], Operations: ['6+33=39']
Exploring Operation: 81+35=116, Resulting Numbers: [39, 116]
Generated Node #0,0,0: 89:[39, 116] Operation: 81+35=116
Exploring Operation: 35+39=74, Resulting Numbers: [81, 74]
Generated Node #0,0,1: 89:[81, 74] Operation: 35+39=74
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 89:[81, 74], Operations: ['6+33=39', '35+39=74']
Exploring Operation: 81-74=7, Resulting Numbers: [7]
7,89 unequal: No Solution
Exploring Operation: 81+74=155, Resulting Numbers: [155]
155,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 89:[39, 116], Operations: ['6+33=39', '81+35=116']
Exploring Operation: 39+116=155, Resulting Numbers: [155]
155,89 unequal: No Solution
Exploring Operation: 116-39=77, Resulting Numbers: [77]
77,89 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:[33, 35, 87], Operations: ['6+81=87']
Exploring Operation: 33+87=120, Resulting Numbers: [35, 120]
Generated Node #0,1,0: 89:[35, 120] Operation: 33+87=120
Exploring Operation: 33+35=68, Resulting Numbers: [87, 68]
Generated Node #0,1,1: 89:[87, 68] Operation: 33+35=68
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 89:[87, 68], Operations: ['6+81=87', '33+35=68']
Exploring Operation: 87+68=155, Resulting Numbers: [155]
155,89 unequal: No Solution
Exploring Operation: 87-68=19, Resulting Numbers: [19]
19,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 89:[35, 120], Operations: ['6+81=87', '33+87=120']
Exploring Operation: 35+120=155, Resulting Numbers: [155]
155,89 unequal: No Solution
Exploring Operation: 120-35=85, Resulting Numbers: [85]
85,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
60,
84,
77,
32
] | 85 | [
"84-60=24",
"77+32=109",
"109-24=85"
] | Current State: 85:[60, 84, 77, 32], Operations: []
Exploring Operation: 84-60=24, Resulting Numbers: [77, 32, 24]
Generated Node #2: [77, 32, 24] from Operation: 84-60=24
Current State: 85:[77, 32, 24], Operations: ['84-60=24']
Exploring Operation: 77+32=109, Resulting Numbers: [24, 109]
Generated Node #3: [24, 109] from Operation: 77+32=109
Current State: 85:[24, 109], Operations: ['84-60=24', '77+32=109']
Exploring Operation: 109-24=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[60, 84, 77, 32], Operations: []
Exploring Operation: 84-77=7, Resulting Numbers: [60, 32, 7]
Generated Node #0,0: 85:[60, 32, 7] Operation: 84-77=7
Exploring Operation: 77-60=17, Resulting Numbers: [84, 32, 17]
Generated Node #0,1: 85:[84, 32, 17] Operation: 77-60=17
Exploring Operation: 60+32=92, Resulting Numbers: [84, 77, 92]
Generated Node #0,2: 85:[84, 77, 92] Operation: 60+32=92
Exploring Operation: 60-32=28, Resulting Numbers: [84, 77, 28]
Generated Node #0,3: 85:[84, 77, 28] Operation: 60-32=28
Exploring Operation: 84-60=24, Resulting Numbers: [77, 32, 24]
Generated Node #0,4: 85:[77, 32, 24] Operation: 84-60=24
Moving to Node #0,1
Current State: 85:[84, 32, 17], Operations: ['77-60=17']
Exploring Operation: 32-17=15, Resulting Numbers: [84, 15]
Generated Node #0,1,0: 85:[84, 15] Operation: 32-17=15
Exploring Operation: 84-32=52, Resulting Numbers: [17, 52]
Generated Node #0,1,1: 85:[17, 52] Operation: 84-32=52
Exploring Operation: 84-17=67, Resulting Numbers: [32, 67]
Generated Node #0,1,2: 85:[32, 67] Operation: 84-17=67
Exploring Operation: 84+17=101, Resulting Numbers: [32, 101]
Generated Node #0,1,3: 85:[32, 101] Operation: 84+17=101
Exploring Operation: 84+32=116, Resulting Numbers: [17, 116]
Generated Node #0,1,4: 85:[17, 116] Operation: 84+32=116
Moving to Node #0,2
Current State: 85:[84, 77, 92], Operations: ['60+32=92']
Exploring Operation: 92-77=15, Resulting Numbers: [84, 15]
Generated Node #0,2,0: 85:[84, 15] Operation: 92-77=15
Exploring Operation: 92-84=8, Resulting Numbers: [77, 8]
Generated Node #0,2,1: 85:[77, 8] Operation: 92-84=8
Exploring Operation: 84+77=161, Resulting Numbers: [92, 161]
Generated Node #0,2,2: 85:[92, 161] Operation: 84+77=161
Exploring Operation: 77+92=169, Resulting Numbers: [84, 169]
Generated Node #0,2,3: 85:[84, 169] Operation: 77+92=169
Exploring Operation: 84-77=7, Resulting Numbers: [92, 7]
Generated Node #0,2,4: 85:[92, 7] Operation: 84-77=7
Moving to Node #0,3
Current State: 85:[84, 77, 28], Operations: ['60-32=28']
Exploring Operation: 77-28=49, Resulting Numbers: [84, 49]
Generated Node #0,3,0: 85:[84, 49] Operation: 77-28=49
Exploring Operation: 84-77=7, Resulting Numbers: [28, 7]
Generated Node #0,3,1: 85:[28, 7] Operation: 84-77=7
Exploring Operation: 84/28=3, Resulting Numbers: [77, 3]
Generated Node #0,3,2: 85:[77, 3] Operation: 84/28=3
Exploring Operation: 84+28=112, Resulting Numbers: [77, 112]
Generated Node #0,3,3: 85:[77, 112] Operation: 84+28=112
Exploring Operation: 77+28=105, Resulting Numbers: [84, 105]
Generated Node #0,3,4: 85:[84, 105] Operation: 77+28=105
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 85:[77, 3], Operations: ['60-32=28', '84/28=3']
Exploring Operation: 77*3=231, Resulting Numbers: [231]
231,85 unequal: No Solution
Exploring Operation: 77+3=80, Resulting Numbers: [80]
80,85 unequal: No Solution
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 85:[28, 7], Operations: ['60-32=28', '84-77=7']
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,85 unequal: No Solution
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,85 unequal: No Solution
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,85 unequal: No Solution
Exploring Operation: 28*7=196, Resulting Numbers: [196]
196,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 85:[84, 105], Operations: ['60-32=28', '77+28=105']
Exploring Operation: 84*105=8820, Resulting Numbers: [8820]
8820,85 unequal: No Solution
Exploring Operation: 105-84=21, Resulting Numbers: [21]
21,85 unequal: No Solution
Exploring Operation: 84+105=189, Resulting Numbers: [189]
189,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 85:[84, 49], Operations: ['60-32=28', '77-28=49']
Exploring Operation: 84+49=133, Resulting Numbers: [133]
133,85 unequal: No Solution
Exploring Operation: 84-49=35, Resulting Numbers: [35]
35,85 unequal: No Solution
Exploring Operation: 84*49=4116, Resulting Numbers: [4116]
4116,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 85:[77, 112], Operations: ['60-32=28', '84+28=112']
Exploring Operation: 77+112=189, Resulting Numbers: [189]
189,85 unequal: No Solution
Exploring Operation: 112-77=35, Resulting Numbers: [35]
35,85 unequal: No Solution
Exploring Operation: 77*112=8624, Resulting Numbers: [8624]
8624,85 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: 85:[77, 32, 24], Operations: ['84-60=24']
Exploring Operation: 77+24=101, Resulting Numbers: [32, 101]
Generated Node #0,4,0: 85:[32, 101] Operation: 77+24=101
Exploring Operation: 32-24=8, Resulting Numbers: [77, 8]
Generated Node #0,4,1: 85:[77, 8] Operation: 32-24=8
Exploring Operation: 77-32=45, Resulting Numbers: [24, 45]
Generated Node #0,4,2: 85:[24, 45] Operation: 77-32=45
Exploring Operation: 32+24=56, Resulting Numbers: [77, 56]
Generated Node #0,4,3: 85:[77, 56] Operation: 32+24=56
Exploring Operation: 77+32=109, Resulting Numbers: [24, 109]
Generated Node #0,4,4: 85:[24, 109] Operation: 77+32=109
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 85:[77, 8], Operations: ['84-60=24', '32-24=8']
Exploring Operation: 77+8=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[60, 84, 77, 32], Operations: []
Exploring Operation: 84-60=24, Resulting Numbers: [77, 32, 24]
Generated Node #0,4: 85:[77, 32, 24] Operation: 84-60=24
Moving to Node #0,4
Current State: 85:[77, 32, 24], Operations: ['84-60=24']
Exploring Operation: 32-24=8, Resulting Numbers: [77, 8]
Generated Node #0,4,1: 85:[77, 8] Operation: 32-24=8
Moving to Node #0,4,1
Current State: 85:[77, 8], Operations: ['84-60=24', '32-24=8']
Exploring Operation: 77+8=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.960069 | hs_5 | mult_heuristic |
[
88,
44,
1,
77
] | 38 | [
"88/44=2",
"77-1=76",
"76/2=38"
] | Current State: 38:[88, 44, 1, 77], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [1, 77, 2]
Generated Node #2: [1, 77, 2] from Operation: 88/44=2
Current State: 38:[1, 77, 2], Operations: ['88/44=2']
Exploring Operation: 77-1=76, Resulting Numbers: [2, 76]
Generated Node #3: [2, 76] from Operation: 77-1=76
Current State: 38:[2, 76], Operations: ['88/44=2', '77-1=76']
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[88, 44, 1, 77], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [1, 77, 2]
Generated Node #0,0: 38:[1, 77, 2] Operation: 88/44=2
Exploring Operation: 88-77=11, Resulting Numbers: [44, 1, 11]
Generated Node #0,1: 38:[44, 1, 11] Operation: 88-77=11
Start Sub Search at level 1: Moving to Node #0,1
Current State: 38:[44, 1, 11], Operations: ['88-77=11']
Exploring Operation: 44/11=4, Resulting Numbers: [1, 4]
Generated Node #0,1,0: 38:[1, 4] Operation: 44/11=4
Exploring Operation: 44-11=33, Resulting Numbers: [1, 33]
Generated Node #0,1,1: 38:[1, 33] Operation: 44-11=33
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 38:[1, 4], Operations: ['88-77=11', '44/11=4']
Exploring Operation: 1*4=4, Resulting Numbers: [4]
4,38 unequal: No Solution
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 38:[1, 33], Operations: ['88-77=11', '44-11=33']
Exploring Operation: 1+33=34, Resulting Numbers: [34]
34,38 unequal: No Solution
Exploring Operation: 1*33=33, Resulting Numbers: [33]
33,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[1, 77, 2], Operations: ['88/44=2']
Exploring Operation: 77-2=75, Resulting Numbers: [1, 75]
Generated Node #0,0,0: 38:[1, 75] Operation: 77-2=75
Exploring Operation: 77-1=76, Resulting Numbers: [2, 76]
Generated Node #0,0,1: 38:[2, 76] Operation: 77-1=76
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 38:[1, 75], Operations: ['88/44=2', '77-2=75']
Exploring Operation: 1*75=75, Resulting Numbers: [75]
75,38 unequal: No Solution
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 38:[2, 76], Operations: ['88/44=2', '77-1=76']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,38 unequal: No Solution
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[88, 44, 1, 77], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [1, 77, 2]
Generated Node #0,0: 38:[1, 77, 2] Operation: 88/44=2
Moving to Node #0,0
Current State: 38:[1, 77, 2], Operations: ['88/44=2']
Exploring Operation: 77-1=76, Resulting Numbers: [2, 76]
Generated Node #0,0,1: 38:[2, 76] Operation: 77-1=76
Moving to Node #0,0,1
Current State: 38:[2, 76], Operations: ['88/44=2', '77-1=76']
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_2 | sum_heuristic |
[
55,
10,
49,
9
] | 25 | [
"55+10=65",
"49-9=40",
"65-40=25"
] | Current State: 25:[55, 10, 49, 9], Operations: []
Exploring Operation: 55+10=65, Resulting Numbers: [49, 9, 65]
Generated Node #2: [49, 9, 65] from Operation: 55+10=65
Current State: 25:[49, 9, 65], Operations: ['55+10=65']
Exploring Operation: 49-9=40, Resulting Numbers: [65, 40]
Generated Node #3: [65, 40] from Operation: 49-9=40
Current State: 25:[65, 40], Operations: ['55+10=65', '49-9=40']
Exploring Operation: 65-40=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[55, 10, 49, 9], Operations: []
Exploring Operation: 55-49=6, Resulting Numbers: [10, 9, 6]
Generated Node #0,0: 25:[10, 9, 6] Operation: 55-49=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[10, 9, 6], Operations: ['55-49=6']
Exploring Operation: 10-9=1, Resulting Numbers: [6, 1]
Generated Node #0,0,0: 25:[6, 1] Operation: 10-9=1
Moving to Node #0,0,0
Current State: 25:[6, 1], Operations: ['55-49=6', '10-9=1']
Exploring Operation: 6-1=5, Resulting Numbers: [5]
5,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
57,
39,
11,
15
] | 24 | [
"57+39=96",
"15-11=4",
"96/4=24"
] | Current State: 24:[57, 39, 11, 15], Operations: []
Exploring Operation: 57+39=96, Resulting Numbers: [11, 15, 96]
Generated Node #2: [11, 15, 96] from Operation: 57+39=96
Current State: 24:[11, 15, 96], Operations: ['57+39=96']
Exploring Operation: 15-11=4, Resulting Numbers: [96, 4]
Generated Node #3: [96, 4] from Operation: 15-11=4
Current State: 24:[96, 4], Operations: ['57+39=96', '15-11=4']
Exploring Operation: 96/4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[57, 39, 11, 15], Operations: []
Exploring Operation: 57-11=46, Resulting Numbers: [39, 15, 46]
Generated Node #0,0: 24:[39, 15, 46] Operation: 57-11=46
Exploring Operation: 57-15=42, Resulting Numbers: [39, 11, 42]
Generated Node #0,1: 24:[39, 11, 42] Operation: 57-15=42
Exploring Operation: 39-15=24, Resulting Numbers: [57, 11, 24]
Generated Node #0,2: 24:[57, 11, 24] Operation: 39-15=24
Exploring Operation: 57-39=18, Resulting Numbers: [11, 15, 18]
Generated Node #0,3: 24:[11, 15, 18] Operation: 57-39=18
Exploring Operation: 39-11=28, Resulting Numbers: [57, 15, 28]
Generated Node #0,4: 24:[57, 15, 28] Operation: 39-11=28
Moving to Node #0,3
Current State: 24:[11, 15, 18], Operations: ['57-39=18']
Exploring Operation: 18-15=3, Resulting Numbers: [11, 3]
Generated Node #0,3,0: 24:[11, 3] Operation: 18-15=3
Exploring Operation: 15-11=4, Resulting Numbers: [18, 4]
Generated Node #0,3,1: 24:[18, 4] Operation: 15-11=4
Exploring Operation: 11+18=29, Resulting Numbers: [15, 29]
Generated Node #0,3,2: 24:[15, 29] Operation: 11+18=29
Exploring Operation: 18-11=7, Resulting Numbers: [15, 7]
Generated Node #0,3,3: 24:[15, 7] Operation: 18-11=7
Exploring Operation: 11+15=26, Resulting Numbers: [18, 26]
Generated Node #0,3,4: 24:[18, 26] Operation: 11+15=26
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 24:[11, 3], Operations: ['57-39=18', '18-15=3']
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,24 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,24 unequal: No Solution
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 24:[15, 7], Operations: ['57-39=18', '18-11=7']
Exploring Operation: 15-7=8, Resulting Numbers: [8]
8,24 unequal: No Solution
Exploring Operation: 15*7=105, Resulting Numbers: [105]
105,24 unequal: No Solution
Exploring Operation: 15+7=22, Resulting Numbers: [22]
22,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 24:[18, 4], Operations: ['57-39=18', '15-11=4']
Exploring Operation: 18+4=22, Resulting Numbers: [22]
22,24 unequal: No Solution
Exploring Operation: 18*4=72, Resulting Numbers: [72]
72,24 unequal: No Solution
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 24:[15, 29], Operations: ['57-39=18', '11+18=29']
Exploring Operation: 15*29=435, Resulting Numbers: [435]
435,24 unequal: No Solution
Exploring Operation: 15+29=44, Resulting Numbers: [44]
44,24 unequal: No Solution
Exploring Operation: 29-15=14, Resulting Numbers: [14]
14,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 24:[18, 26], Operations: ['57-39=18', '11+15=26']
Exploring Operation: 18*26=468, Resulting Numbers: [468]
468,24 unequal: No Solution
Exploring Operation: 26-18=8, Resulting Numbers: [8]
8,24 unequal: No Solution
Exploring Operation: 18+26=44, Resulting Numbers: [44]
44,24 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: 24:[57, 11, 24], Operations: ['39-15=24']
Exploring Operation: 11+24=35, Resulting Numbers: [57, 35]
Generated Node #0,2,0: 24:[57, 35] Operation: 11+24=35
Exploring Operation: 57-11=46, Resulting Numbers: [24, 46]
Generated Node #0,2,1: 24:[24, 46] Operation: 57-11=46
Exploring Operation: 57+11=68, Resulting Numbers: [24, 68]
Generated Node #0,2,2: 24:[24, 68] Operation: 57+11=68
Exploring Operation: 24-11=13, Resulting Numbers: [57, 13]
Generated Node #0,2,3: 24:[57, 13] Operation: 24-11=13
Exploring Operation: 57-24=33, Resulting Numbers: [11, 33]
Generated Node #0,2,4: 24:[11, 33] Operation: 57-24=33
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 24:[11, 33], Operations: ['39-15=24', '57-24=33']
Exploring Operation: 11+33=44, Resulting Numbers: [44]
44,24 unequal: No Solution
Exploring Operation: 11*33=363, Resulting Numbers: [363]
363,24 unequal: No Solution
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,24 unequal: No Solution
Exploring Operation: 33/11=3, Resulting Numbers: [3]
3,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 24:[24, 46], Operations: ['39-15=24', '57-11=46']
Exploring Operation: 24*46=1104, Resulting Numbers: [1104]
1104,24 unequal: No Solution
Exploring Operation: 24+46=70, Resulting Numbers: [70]
70,24 unequal: No Solution
Exploring Operation: 46-24=22, Resulting Numbers: [22]
22,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 24:[57, 13], Operations: ['39-15=24', '24-11=13']
Exploring Operation: 57*13=741, Resulting Numbers: [741]
741,24 unequal: No Solution
Exploring Operation: 57+13=70, Resulting Numbers: [70]
70,24 unequal: No Solution
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 24:[57, 35], Operations: ['39-15=24', '11+24=35']
Exploring Operation: 57+35=92, Resulting Numbers: [92]
92,24 unequal: No Solution
Exploring Operation: 57-35=22, Resulting Numbers: [22]
22,24 unequal: No Solution
Exploring Operation: 57*35=1995, Resulting Numbers: [1995]
1995,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 24:[24, 68], Operations: ['39-15=24', '57+11=68']
Exploring Operation: 68-24=44, Resulting Numbers: [44]
44,24 unequal: No Solution
Exploring Operation: 24*68=1632, Resulting Numbers: [1632]
1632,24 unequal: No Solution
Exploring Operation: 24+68=92, Resulting Numbers: [92]
92,24 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: 24:[39, 11, 42], Operations: ['57-15=42']
Exploring Operation: 39-11=28, Resulting Numbers: [42, 28]
Generated Node #0,1,0: 24:[42, 28] Operation: 39-11=28
Exploring Operation: 42-11=31, Resulting Numbers: [39, 31]
Generated Node #0,1,1: 24:[39, 31] Operation: 42-11=31
Exploring Operation: 11+42=53, Resulting Numbers: [39, 53]
Generated Node #0,1,2: 24:[39, 53] Operation: 11+42=53
Exploring Operation: 42-39=3, Resulting Numbers: [11, 3]
Generated Node #0,1,3: 24:[11, 3] Operation: 42-39=3
Exploring Operation: 39+11=50, Resulting Numbers: [42, 50]
Generated Node #0,1,4: 24:[42, 50] Operation: 39+11=50
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 24:[11, 3], Operations: ['57-15=42', '42-39=3']
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,24 unequal: No Solution
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 24:[42, 28], Operations: ['57-15=42', '39-11=28']
Exploring Operation: 42-28=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 42*28=1176, Resulting Numbers: [1176]
1176,24 unequal: No Solution
Exploring Operation: 42+28=70, Resulting Numbers: [70]
70,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 24:[39, 31], Operations: ['57-15=42', '42-11=31']
Exploring Operation: 39+31=70, Resulting Numbers: [70]
70,24 unequal: No Solution
Exploring Operation: 39*31=1209, Resulting Numbers: [1209]
1209,24 unequal: No Solution
Exploring Operation: 39-31=8, Resulting Numbers: [8]
8,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 24:[39, 53], Operations: ['57-15=42', '11+42=53']
Exploring Operation: 53-39=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 39*53=2067, Resulting Numbers: [2067]
2067,24 unequal: No Solution
Exploring Operation: 39+53=92, Resulting Numbers: [92]
92,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 24:[42, 50], Operations: ['57-15=42', '39+11=50']
Exploring Operation: 50-42=8, Resulting Numbers: [8]
8,24 unequal: No Solution
Exploring Operation: 42+50=92, Resulting Numbers: [92]
92,24 unequal: No Solution
Exploring Operation: 42*50=2100, Resulting Numbers: [2100]
2100,24 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: 24:[39, 15, 46], Operations: ['57-11=46']
Exploring Operation: 46-15=31, Resulting Numbers: [39, 31]
Generated Node #0,0,0: 24:[39, 31] Operation: 46-15=31
Exploring Operation: 39+15=54, Resulting Numbers: [46, 54]
Generated Node #0,0,1: 24:[46, 54] Operation: 39+15=54
Exploring Operation: 39-15=24, Resulting Numbers: [46, 24]
Generated Node #0,0,2: 24:[46, 24] Operation: 39-15=24
Exploring Operation: 46-39=7, Resulting Numbers: [15, 7]
Generated Node #0,0,3: 24:[15, 7] Operation: 46-39=7
Exploring Operation: 15+46=61, Resulting Numbers: [39, 61]
Generated Node #0,0,4: 24:[39, 61] Operation: 15+46=61
Moving to Node #0,4
Current State: 24:[57, 15, 28], Operations: ['39-11=28']
Exploring Operation: 57-28=29, Resulting Numbers: [15, 29]
Generated Node #0,4,0: 24:[15, 29] Operation: 57-28=29
Exploring Operation: 57-15=42, Resulting Numbers: [28, 42]
Generated Node #0,4,1: 24:[28, 42] Operation: 57-15=42
Exploring Operation: 57+15=72, Resulting Numbers: [28, 72]
Generated Node #0,4,2: 24:[28, 72] Operation: 57+15=72
Exploring Operation: 15+28=43, Resulting Numbers: [57, 43]
Generated Node #0,4,3: 24:[57, 43] Operation: 15+28=43
Exploring Operation: 28-15=13, Resulting Numbers: [57, 13]
Generated Node #0,4,4: 24:[57, 13] Operation: 28-15=13
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 24:[15, 29], Operations: ['39-11=28', '57-28=29']
Exploring Operation: 29-15=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 15*29=435, Resulting Numbers: [435]
435,24 unequal: No Solution
Exploring Operation: 15+29=44, Resulting Numbers: [44]
44,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 24:[28, 42], Operations: ['39-11=28', '57-15=42']
Exploring Operation: 28*42=1176, Resulting Numbers: [1176]
1176,24 unequal: No Solution
Exploring Operation: 42-28=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 28+42=70, Resulting Numbers: [70]
70,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 24:[57, 13], Operations: ['39-11=28', '28-15=13']
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,24 unequal: No Solution
Exploring Operation: 57+13=70, Resulting Numbers: [70]
70,24 unequal: No Solution
Exploring Operation: 57*13=741, Resulting Numbers: [741]
741,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 24:[28, 72], Operations: ['39-11=28', '57+15=72']
Exploring Operation: 72-28=44, Resulting Numbers: [44]
44,24 unequal: No Solution
Exploring Operation: 28+72=100, Resulting Numbers: [100]
100,24 unequal: No Solution
Exploring Operation: 28*72=2016, Resulting Numbers: [2016]
2016,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 24:[57, 43], Operations: ['39-11=28', '15+28=43']
Exploring Operation: 57*43=2451, Resulting Numbers: [2451]
2451,24 unequal: No Solution
Exploring Operation: 57+43=100, Resulting Numbers: [100]
100,24 unequal: No Solution
Exploring Operation: 57-43=14, Resulting Numbers: [14]
14,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,3
Current State: 24:[15, 7], Operations: ['57-11=46', '46-39=7']
Exploring Operation: 15*7=105, Resulting Numbers: [105]
105,24 unequal: No Solution
Exploring Operation: 15+7=22, Resulting Numbers: [22]
22,24 unequal: No Solution
Exploring Operation: 15-7=8, Resulting Numbers: [8]
8,24 unequal: No Solution
Moving to Node #0,0,2
Current State: 24:[46, 24], Operations: ['57-11=46', '39-15=24']
Exploring Operation: 46+24=70, Resulting Numbers: [70]
70,24 unequal: No Solution
Exploring Operation: 46-24=22, Resulting Numbers: [22]
22,24 unequal: No Solution
Exploring Operation: 46*24=1104, Resulting Numbers: [1104]
1104,24 unequal: No Solution
Moving to Node #0,0,0
Current State: 24:[39, 31], Operations: ['57-11=46', '46-15=31']
Exploring Operation: 39*31=1209, Resulting Numbers: [1209]
1209,24 unequal: No Solution
Exploring Operation: 39-31=8, Resulting Numbers: [8]
8,24 unequal: No Solution
Exploring Operation: 39+31=70, Resulting Numbers: [70]
70,24 unequal: No Solution
Moving to Node #0,0,1
Current State: 24:[46, 54], Operations: ['57-11=46', '39+15=54']
Exploring Operation: 54-46=8, Resulting Numbers: [8]
8,24 unequal: No Solution
Exploring Operation: 46*54=2484, Resulting Numbers: [2484]
2484,24 unequal: No Solution
Exploring Operation: 46+54=100, Resulting Numbers: [100]
100,24 unequal: No Solution
Moving to Node #0,0,4
Current State: 24:[39, 61], Operations: ['57-11=46', '15+46=61']
Exploring Operation: 39+61=100, Resulting Numbers: [100]
100,24 unequal: No Solution
Exploring Operation: 39*61=2379, Resulting Numbers: [2379]
2379,24 unequal: No Solution
Exploring Operation: 61-39=22, Resulting Numbers: [22]
22,24 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
24,
57,
37,
54
] | 27 | [
"57+54=111",
"111/37=3",
"24+3=27"
] | Current State: 27:[24, 57, 37, 54], Operations: []
Exploring Operation: 57+54=111, Resulting Numbers: [24, 37, 111]
Generated Node #2: [24, 37, 111] from Operation: 57+54=111
Current State: 27:[24, 37, 111], Operations: ['57+54=111']
Exploring Operation: 111/37=3, Resulting Numbers: [24, 3]
Generated Node #3: [24, 3] from Operation: 111/37=3
Current State: 27:[24, 3], Operations: ['57+54=111', '111/37=3']
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[24, 57, 37, 54], Operations: []
Exploring Operation: 57-37=20, Resulting Numbers: [24, 54, 20]
Generated Node #0,0: 27:[24, 54, 20] Operation: 57-37=20
Exploring Operation: 57-54=3, Resulting Numbers: [24, 37, 3]
Generated Node #0,1: 27:[24, 37, 3] Operation: 57-54=3
Exploring Operation: 54-37=17, Resulting Numbers: [24, 57, 17]
Generated Node #0,2: 27:[24, 57, 17] Operation: 54-37=17
Start Sub Search at level 1: Moving to Node #0,1
Current State: 27:[24, 37, 3], Operations: ['57-54=3']
Exploring Operation: 37-3=34, Resulting Numbers: [24, 34]
Generated Node #0,1,0: 27:[24, 34] Operation: 37-3=34
Exploring Operation: 24+3=27, Resulting Numbers: [37, 27]
Generated Node #0,1,1: 27:[37, 27] Operation: 24+3=27
Exploring Operation: 37-24=13, Resulting Numbers: [3, 13]
Generated Node #0,1,2: 27:[3, 13] Operation: 37-24=13
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 27:[3, 13], Operations: ['57-54=3', '37-24=13']
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,27 unequal: No Solution
Exploring Operation: 3+13=16, Resulting Numbers: [16]
16,27 unequal: No Solution
Exploring Operation: 3*13=39, Resulting Numbers: [39]
39,27 unequal: No Solution
No 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: 27:[24, 34], Operations: ['57-54=3', '37-3=34']
Exploring Operation: 24*34=816, Resulting Numbers: [816]
816,27 unequal: No Solution
Exploring Operation: 24+34=58, Resulting Numbers: [58]
58,27 unequal: No Solution
Exploring Operation: 34-24=10, Resulting Numbers: [10]
10,27 unequal: No Solution
No 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: 27:[37, 27], Operations: ['57-54=3', '24+3=27']
Exploring Operation: 37+27=64, Resulting Numbers: [64]
64,27 unequal: No Solution
Exploring Operation: 37*27=999, Resulting Numbers: [999]
999,27 unequal: No Solution
Exploring Operation: 37-27=10, Resulting Numbers: [10]
10,27 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: 27:[24, 54, 20], Operations: ['57-37=20']
Exploring Operation: 54-20=34, Resulting Numbers: [24, 34]
Generated Node #0,0,0: 27:[24, 34] Operation: 54-20=34
Exploring Operation: 54-24=30, Resulting Numbers: [20, 30]
Generated Node #0,0,1: 27:[20, 30] Operation: 54-24=30
Exploring Operation: 24-20=4, Resulting Numbers: [54, 4]
Generated Node #0,0,2: 27:[54, 4] Operation: 24-20=4
Moving to Node #0,0,0
Current State: 27:[24, 34], Operations: ['57-37=20', '54-20=34']
Exploring Operation: 24*34=816, Resulting Numbers: [816]
816,27 unequal: No Solution
Exploring Operation: 34-24=10, Resulting Numbers: [10]
10,27 unequal: No Solution
Exploring Operation: 24+34=58, Resulting Numbers: [58]
58,27 unequal: No Solution
Moving to Node #0,0,1
Current State: 27:[20, 30], Operations: ['57-37=20', '54-24=30']
Exploring Operation: 20*30=600, Resulting Numbers: [600]
600,27 unequal: No Solution
Exploring Operation: 30-20=10, Resulting Numbers: [10]
10,27 unequal: No Solution
Exploring Operation: 20+30=50, Resulting Numbers: [50]
50,27 unequal: No Solution
Moving to Node #0,0,2
Current State: 27:[54, 4], Operations: ['57-37=20', '24-20=4']
Exploring Operation: 54+4=58, Resulting Numbers: [58]
58,27 unequal: No Solution
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,27 unequal: No Solution
Exploring Operation: 54*4=216, Resulting Numbers: [216]
216,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 27:[24, 57, 17], Operations: ['54-37=17']
Exploring Operation: 57-17=40, Resulting Numbers: [24, 40]
Generated Node #0,2,0: 27:[24, 40] Operation: 57-17=40
Exploring Operation: 57-24=33, Resulting Numbers: [17, 33]
Generated Node #0,2,1: 27:[17, 33] Operation: 57-24=33
Exploring Operation: 24-17=7, Resulting Numbers: [57, 7]
Generated Node #0,2,2: 27:[57, 7] Operation: 24-17=7
Moving to Node #0,2,1
Current State: 27:[17, 33], Operations: ['54-37=17', '57-24=33']
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
Exploring Operation: 17+33=50, Resulting Numbers: [50]
50,27 unequal: No Solution
Moving to Node #0,2,0
Current State: 27:[24, 40], Operations: ['54-37=17', '57-17=40']
Exploring Operation: 24+40=64, Resulting Numbers: [64]
64,27 unequal: No Solution
Exploring Operation: 40-24=16, Resulting Numbers: [16]
16,27 unequal: No Solution
Exploring Operation: 24*40=960, Resulting Numbers: [960]
960,27 unequal: No Solution
Moving to Node #0,2,2
Current State: 27:[57, 7], Operations: ['54-37=17', '24-17=7']
Exploring Operation: 57-7=50, Resulting Numbers: [50]
50,27 unequal: No Solution
Exploring Operation: 57*7=399, Resulting Numbers: [399]
399,27 unequal: No Solution
Exploring Operation: 57+7=64, Resulting Numbers: [64]
64,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
60,
30,
25,
96
] | 91 | [
"60-30=30",
"25+96=121",
"121-30=91"
] | Current State: 91:[60, 30, 25, 96], Operations: []
Exploring Operation: 60-30=30, Resulting Numbers: [25, 96, 30]
Generated Node #2: [25, 96, 30] from Operation: 60-30=30
Current State: 91:[25, 96, 30], Operations: ['60-30=30']
Exploring Operation: 25+96=121, Resulting Numbers: [30, 121]
Generated Node #3: [30, 121] from Operation: 25+96=121
Current State: 91:[30, 121], Operations: ['60-30=30', '25+96=121']
Exploring Operation: 121-30=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[60, 30, 25, 96], Operations: []
Exploring Operation: 60/30=2, Resulting Numbers: [25, 96, 2]
Generated Node #0,0: 91:[25, 96, 2] Operation: 60/30=2
Exploring Operation: 60+30=90, Resulting Numbers: [25, 96, 90]
Generated Node #0,1: 91:[25, 96, 90] Operation: 60+30=90
Moving to Node #0,1
Current State: 91:[25, 96, 90], Operations: ['60+30=90']
Exploring Operation: 96-90=6, Resulting Numbers: [25, 6]
Generated Node #0,1,0: 91:[25, 6] Operation: 96-90=6
Exploring Operation: 96-25=71, Resulting Numbers: [90, 71]
Generated Node #0,1,1: 91:[90, 71] Operation: 96-25=71
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 91:[25, 6], Operations: ['60+30=90', '96-90=6']
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,91 unequal: No Solution
Exploring Operation: 25+6=31, Resulting Numbers: [31]
31,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 91:[90, 71], Operations: ['60+30=90', '96-25=71']
Exploring Operation: 90+71=161, Resulting Numbers: [161]
161,91 unequal: No Solution
Exploring Operation: 90-71=19, Resulting Numbers: [19]
19,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 91:[25, 96, 2], Operations: ['60/30=2']
Exploring Operation: 96-2=94, Resulting Numbers: [25, 94]
Generated Node #0,0,0: 91:[25, 94] Operation: 96-2=94
Exploring Operation: 25-2=23, Resulting Numbers: [96, 23]
Generated Node #0,0,1: 91:[96, 23] Operation: 25-2=23
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 91:[25, 94], Operations: ['60/30=2', '96-2=94']
Exploring Operation: 25+94=119, Resulting Numbers: [119]
119,91 unequal: No Solution
Exploring Operation: 94-25=69, Resulting Numbers: [69]
69,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 91:[96, 23], Operations: ['60/30=2', '25-2=23']
Exploring Operation: 96-23=73, Resulting Numbers: [73]
73,91 unequal: No Solution
Exploring Operation: 96+23=119, Resulting Numbers: [119]
119,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
1,
65,
64,
31
] | 97 | [
"65-1=64",
"64-31=33",
"64+33=97"
] | Current State: 97:[1, 65, 64, 31], Operations: []
Exploring Operation: 65-1=64, Resulting Numbers: [64, 31, 64]
Generated Node #2: [64, 31, 64] from Operation: 65-1=64
Current State: 97:[64, 31, 64], Operations: ['65-1=64']
Exploring Operation: 64-31=33, Resulting Numbers: [33]
33,97 equal: Goal Reached
Exploring Operation: 64+33=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[1, 65, 64, 31], Operations: []
Exploring Operation: 1+65=66, Resulting Numbers: [64, 31, 66]
Generated Node #0,0: 97:[64, 31, 66] Operation: 1+65=66
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[64, 31, 66], Operations: ['1+65=66']
Exploring Operation: 64+31=95, Resulting Numbers: [66, 95]
Generated Node #0,0,0: 97:[66, 95] Operation: 64+31=95
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[66, 95], Operations: ['1+65=66', '64+31=95']
Exploring Operation: 66+95=161, Resulting Numbers: [161]
161,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
96,
19,
78,
1
] | 83 | [
"96-1=95",
"95/19=5",
"78+5=83"
] | Current State: 83:[96, 19, 78, 1], Operations: []
Exploring Operation: 96-1=95, Resulting Numbers: [19, 78, 95]
Generated Node #2: [19, 78, 95] from Operation: 96-1=95
Current State: 83:[19, 78, 95], Operations: ['96-1=95']
Exploring Operation: 95/19=5, Resulting Numbers: [78, 5]
Generated Node #3: [78, 5] from Operation: 95/19=5
Current State: 83:[78, 5], Operations: ['96-1=95', '95/19=5']
Exploring Operation: 78+5=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[96, 19, 78, 1], Operations: []
Exploring Operation: 96-1=95, Resulting Numbers: [19, 78, 95]
Generated Node #0,0: 83:[19, 78, 95] Operation: 96-1=95
Exploring Operation: 19+1=20, Resulting Numbers: [96, 78, 20]
Generated Node #0,1: 83:[96, 78, 20] Operation: 19+1=20
Exploring Operation: 78+1=79, Resulting Numbers: [96, 19, 79]
Generated Node #0,2: 83:[96, 19, 79] Operation: 78+1=79
Exploring Operation: 96*1=96, Resulting Numbers: [19, 78, 96]
Generated Node #0,3: 83:[19, 78, 96] Operation: 96*1=96
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[19, 78, 95], Operations: ['96-1=95']
Exploring Operation: 19+95=114, Resulting Numbers: [78, 114]
Generated Node #0,0,0: 83:[78, 114] Operation: 19+95=114
Exploring Operation: 95-19=76, Resulting Numbers: [78, 76]
Generated Node #0,0,1: 83:[78, 76] Operation: 95-19=76
Exploring Operation: 78-19=59, Resulting Numbers: [95, 59]
Generated Node #0,0,2: 83:[95, 59] Operation: 78-19=59
Exploring Operation: 19+78=97, Resulting Numbers: [95, 97]
Generated Node #0,0,3: 83:[95, 97] Operation: 19+78=97
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 83:[78, 76], Operations: ['96-1=95', '95-19=76']
Exploring Operation: 78+76=154, Resulting Numbers: [154]
154,83 unequal: No Solution
Exploring Operation: 78*76=5928, Resulting Numbers: [5928]
5928,83 unequal: No Solution
Exploring Operation: 78-76=2, Resulting Numbers: [2]
2,83 unequal: No Solution
No 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: 83:[95, 97], Operations: ['96-1=95', '19+78=97']
Exploring Operation: 95+97=192, Resulting Numbers: [192]
192,83 unequal: No Solution
Exploring Operation: 97-95=2, Resulting Numbers: [2]
2,83 unequal: No Solution
Exploring Operation: 95*97=9215, Resulting Numbers: [9215]
9215,83 unequal: No Solution
No 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: 83:[78, 114], Operations: ['96-1=95', '19+95=114']
Exploring Operation: 78+114=192, Resulting Numbers: [192]
192,83 unequal: No Solution
Exploring Operation: 114-78=36, Resulting Numbers: [36]
36,83 unequal: No Solution
Exploring Operation: 78*114=8892, Resulting Numbers: [8892]
8892,83 unequal: No Solution
No 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: 83:[95, 59], Operations: ['96-1=95', '78-19=59']
Exploring Operation: 95-59=36, Resulting Numbers: [36]
36,83 unequal: No Solution
Exploring Operation: 95*59=5605, Resulting Numbers: [5605]
5605,83 unequal: No Solution
Exploring Operation: 95+59=154, Resulting Numbers: [154]
154,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[96, 78, 20], Operations: ['19+1=20']
Exploring Operation: 78-20=58, Resulting Numbers: [96, 58]
Generated Node #0,1,0: 83:[96, 58] Operation: 78-20=58
Exploring Operation: 78+20=98, Resulting Numbers: [96, 98]
Generated Node #0,1,1: 83:[96, 98] Operation: 78+20=98
Exploring Operation: 96+20=116, Resulting Numbers: [78, 116]
Generated Node #0,1,2: 83:[78, 116] Operation: 96+20=116
Exploring Operation: 96-20=76, Resulting Numbers: [78, 76]
Generated Node #0,1,3: 83:[78, 76] Operation: 96-20=76
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 83:[78, 76], Operations: ['19+1=20', '96-20=76']
Exploring Operation: 78*76=5928, Resulting Numbers: [5928]
5928,83 unequal: No Solution
Exploring Operation: 78+76=154, Resulting Numbers: [154]
154,83 unequal: No Solution
Exploring Operation: 78-76=2, Resulting Numbers: [2]
2,83 unequal: No Solution
No 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: 83:[96, 98], Operations: ['19+1=20', '78+20=98']
Exploring Operation: 96*98=9408, Resulting Numbers: [9408]
9408,83 unequal: No Solution
Exploring Operation: 98-96=2, Resulting Numbers: [2]
2,83 unequal: No Solution
Exploring Operation: 96+98=194, Resulting Numbers: [194]
194,83 unequal: No Solution
No 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: 83:[96, 58], Operations: ['19+1=20', '78-20=58']
Exploring Operation: 96-58=38, Resulting Numbers: [38]
38,83 unequal: No Solution
Exploring Operation: 96+58=154, Resulting Numbers: [154]
154,83 unequal: No Solution
Exploring Operation: 96*58=5568, Resulting Numbers: [5568]
5568,83 unequal: No Solution
No 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: 83:[78, 116], Operations: ['19+1=20', '96+20=116']
Exploring Operation: 116-78=38, Resulting Numbers: [38]
38,83 unequal: No Solution
Exploring Operation: 78*116=9048, Resulting Numbers: [9048]
9048,83 unequal: No Solution
Exploring Operation: 78+116=194, Resulting Numbers: [194]
194,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 83:[96, 19, 79], Operations: ['78+1=79']
Exploring Operation: 96-19=77, Resulting Numbers: [79, 77]
Generated Node #0,2,0: 83:[79, 77] Operation: 96-19=77
Exploring Operation: 79-19=60, Resulting Numbers: [96, 60]
Generated Node #0,2,1: 83:[96, 60] Operation: 79-19=60
Exploring Operation: 96+19=115, Resulting Numbers: [79, 115]
Generated Node #0,2,2: 83:[79, 115] Operation: 96+19=115
Exploring Operation: 19+79=98, Resulting Numbers: [96, 98]
Generated Node #0,2,3: 83:[96, 98] Operation: 19+79=98
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 83:[79, 77], Operations: ['78+1=79', '96-19=77']
Exploring Operation: 79*77=6083, Resulting Numbers: [6083]
6083,83 unequal: No Solution
Exploring Operation: 79+77=156, Resulting Numbers: [156]
156,83 unequal: No Solution
Exploring Operation: 79-77=2, Resulting Numbers: [2]
2,83 unequal: No Solution
No 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: 83:[96, 98], Operations: ['78+1=79', '19+79=98']
Exploring Operation: 96*98=9408, Resulting Numbers: [9408]
9408,83 unequal: No Solution
Exploring Operation: 98-96=2, Resulting Numbers: [2]
2,83 unequal: No Solution
Exploring Operation: 96+98=194, Resulting Numbers: [194]
194,83 unequal: No Solution
No 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: 83:[96, 60], Operations: ['78+1=79', '79-19=60']
Exploring Operation: 96+60=156, Resulting Numbers: [156]
156,83 unequal: No Solution
Exploring Operation: 96*60=5760, Resulting Numbers: [5760]
5760,83 unequal: No Solution
Exploring Operation: 96-60=36, Resulting Numbers: [36]
36,83 unequal: No Solution
No 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: 83:[79, 115], Operations: ['78+1=79', '96+19=115']
Exploring Operation: 79+115=194, Resulting Numbers: [194]
194,83 unequal: No Solution
Exploring Operation: 115-79=36, Resulting Numbers: [36]
36,83 unequal: No Solution
Exploring Operation: 79*115=9085, Resulting Numbers: [9085]
9085,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 83:[19, 78, 96], Operations: ['96*1=96']
Exploring Operation: 96-19=77, Resulting Numbers: [78, 77]
Generated Node #0,3,0: 83:[78, 77] Operation: 96-19=77
Exploring Operation: 78-19=59, Resulting Numbers: [96, 59]
Generated Node #0,3,1: 83:[96, 59] Operation: 78-19=59
Exploring Operation: 19+78=97, Resulting Numbers: [96, 97]
Generated Node #0,3,2: 83:[96, 97] Operation: 19+78=97
Exploring Operation: 19+96=115, Resulting Numbers: [78, 115]
Generated Node #0,3,3: 83:[78, 115] Operation: 19+96=115
Moving to Node #0,3,0
Current State: 83:[78, 77], Operations: ['96*1=96', '96-19=77']
Exploring Operation: 78*77=6006, Resulting Numbers: [6006]
6006,83 unequal: No Solution
Exploring Operation: 78-77=1, Resulting Numbers: [1]
1,83 unequal: No Solution
Exploring Operation: 78+77=155, Resulting Numbers: [155]
155,83 unequal: No Solution
Moving to Node #0,3,2
Current State: 83:[96, 97], Operations: ['96*1=96', '19+78=97']
Exploring Operation: 96+97=193, Resulting Numbers: [193]
193,83 unequal: No Solution
Exploring Operation: 96*97=9312, Resulting Numbers: [9312]
9312,83 unequal: No Solution
Exploring Operation: 97-96=1, Resulting Numbers: [1]
1,83 unequal: No Solution
Moving to Node #0,3,3
Current State: 83:[78, 115], Operations: ['96*1=96', '19+96=115']
Exploring Operation: 115-78=37, Resulting Numbers: [37]
37,83 unequal: No Solution
Exploring Operation: 78+115=193, Resulting Numbers: [193]
193,83 unequal: No Solution
Exploring Operation: 78*115=8970, Resulting Numbers: [8970]
8970,83 unequal: No Solution
Moving to Node #0,3,1
Current State: 83:[96, 59], Operations: ['96*1=96', '78-19=59']
Exploring Operation: 96*59=5664, Resulting Numbers: [5664]
5664,83 unequal: No Solution
Exploring Operation: 96-59=37, Resulting Numbers: [37]
37,83 unequal: No Solution
Exploring Operation: 96+59=155, Resulting Numbers: [155]
155,83 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 |
[
57,
54,
12,
26
] | 73 | [
"57+54=111",
"12+26=38",
"111-38=73"
] | Current State: 73:[57, 54, 12, 26], Operations: []
Exploring Operation: 57+54=111, Resulting Numbers: [12, 26, 111]
Generated Node #2: [12, 26, 111] from Operation: 57+54=111
Current State: 73:[12, 26, 111], Operations: ['57+54=111']
Exploring Operation: 12+26=38, Resulting Numbers: [111, 38]
Generated Node #3: [111, 38] from Operation: 12+26=38
Current State: 73:[111, 38], Operations: ['57+54=111', '12+26=38']
Exploring Operation: 111-38=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[57, 54, 12, 26], Operations: []
Exploring Operation: 12+26=38, Resulting Numbers: [57, 54, 38]
Generated Node #0,0: 73:[57, 54, 38] Operation: 12+26=38
Exploring Operation: 57+12=69, Resulting Numbers: [54, 26, 69]
Generated Node #0,1: 73:[54, 26, 69] Operation: 57+12=69
Exploring Operation: 54+12=66, Resulting Numbers: [57, 26, 66]
Generated Node #0,2: 73:[57, 26, 66] Operation: 54+12=66
Moving to Node #0,0
Current State: 73:[57, 54, 38], Operations: ['12+26=38']
Exploring Operation: 57+38=95, Resulting Numbers: [54, 95]
Generated Node #0,0,0: 73:[54, 95] Operation: 57+38=95
Exploring Operation: 54+38=92, Resulting Numbers: [57, 92]
Generated Node #0,0,1: 73:[57, 92] Operation: 54+38=92
Exploring Operation: 57+54=111, Resulting Numbers: [38, 111]
Generated Node #0,0,2: 73:[38, 111] Operation: 57+54=111
Moving to Node #0,1
Current State: 73:[54, 26, 69], Operations: ['57+12=69']
Exploring Operation: 54+26=80, Resulting Numbers: [69, 80]
Generated Node #0,1,0: 73:[69, 80] Operation: 54+26=80
Exploring Operation: 26+69=95, Resulting Numbers: [54, 95]
Generated Node #0,1,1: 73:[54, 95] Operation: 26+69=95
Exploring Operation: 54-26=28, Resulting Numbers: [69, 28]
Generated Node #0,1,2: 73:[69, 28] Operation: 54-26=28
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 73:[69, 80], Operations: ['57+12=69', '54+26=80']
Exploring Operation: 69*80=5520, Resulting Numbers: [5520]
5520,73 unequal: No Solution
Exploring Operation: 80-69=11, Resulting Numbers: [11]
11,73 unequal: No Solution
Exploring Operation: 69+80=149, Resulting Numbers: [149]
149,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 73:[54, 95], Operations: ['57+12=69', '26+69=95']
Exploring Operation: 54*95=5130, Resulting Numbers: [5130]
5130,73 unequal: No Solution
Exploring Operation: 54+95=149, Resulting Numbers: [149]
149,73 unequal: No Solution
Exploring Operation: 95-54=41, Resulting Numbers: [41]
41,73 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:[69, 28], Operations: ['57+12=69', '54-26=28']
Exploring Operation: 69*28=1932, Resulting Numbers: [1932]
1932,73 unequal: No Solution
Exploring Operation: 69+28=97, Resulting Numbers: [97]
97,73 unequal: No Solution
Exploring Operation: 69-28=41, Resulting Numbers: [41]
41,73 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:[57, 26, 66], Operations: ['54+12=66']
Exploring Operation: 57-26=31, Resulting Numbers: [66, 31]
Generated Node #0,2,0: 73:[66, 31] Operation: 57-26=31
Exploring Operation: 26+66=92, Resulting Numbers: [57, 92]
Generated Node #0,2,1: 73:[57, 92] Operation: 26+66=92
Exploring Operation: 57+26=83, Resulting Numbers: [66, 83]
Generated Node #0,2,2: 73:[66, 83] Operation: 57+26=83
Moving to Node #0,2,2
Current State: 73:[66, 83], Operations: ['54+12=66', '57+26=83']
Exploring Operation: 66+83=149, Resulting Numbers: [149]
149,73 unequal: No Solution
Exploring Operation: 83-66=17, Resulting Numbers: [17]
17,73 unequal: No Solution
Exploring Operation: 66*83=5478, Resulting Numbers: [5478]
5478,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[57, 92], Operations: ['12+26=38', '54+38=92']
Exploring Operation: 92-57=35, Resulting Numbers: [35]
35,73 unequal: No Solution
Exploring Operation: 57*92=5244, Resulting Numbers: [5244]
5244,73 unequal: No Solution
Exploring Operation: 57+92=149, Resulting Numbers: [149]
149,73 unequal: No Solution
Moving to Node #0,2,1
Current State: 73:[57, 92], Operations: ['54+12=66', '26+66=92']
Exploring Operation: 57*92=5244, Resulting Numbers: [5244]
5244,73 unequal: No Solution
Exploring Operation: 92-57=35, Resulting Numbers: [35]
35,73 unequal: No Solution
Exploring Operation: 57+92=149, Resulting Numbers: [149]
149,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[54, 95], Operations: ['12+26=38', '57+38=95']
Exploring Operation: 54+95=149, Resulting Numbers: [149]
149,73 unequal: No Solution
Exploring Operation: 95-54=41, Resulting Numbers: [41]
41,73 unequal: No Solution
Exploring Operation: 54*95=5130, Resulting Numbers: [5130]
5130,73 unequal: No Solution
Moving to Node #0,2,0
Current State: 73:[66, 31], Operations: ['54+12=66', '57-26=31']
Exploring Operation: 66-31=35, Resulting Numbers: [35]
35,73 unequal: No Solution
Exploring Operation: 66+31=97, Resulting Numbers: [97]
97,73 unequal: No Solution
Exploring Operation: 66*31=2046, Resulting Numbers: [2046]
2046,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[38, 111], Operations: ['12+26=38', '57+54=111']
Exploring Operation: 38+111=149, Resulting Numbers: [149]
149,73 unequal: No Solution
Exploring Operation: 111-38=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[57, 54, 12, 26], Operations: []
Exploring Operation: 12+26=38, Resulting Numbers: [57, 54, 38]
Generated Node #0,0: 73:[57, 54, 38] Operation: 12+26=38
Moving to Node #0,0
Current State: 73:[57, 54, 38], Operations: ['12+26=38']
Exploring Operation: 57+54=111, Resulting Numbers: [38, 111]
Generated Node #0,0,2: 73:[38, 111] Operation: 57+54=111
Moving to Node #0,0,2
Current State: 73:[38, 111], Operations: ['12+26=38', '57+54=111']
Exploring Operation: 111-38=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 0.963542 | hs_3 | sum_heuristic |
[
74,
44,
16,
2
] | 86 | [
"74+44=118",
"16*2=32",
"118-32=86"
] | Current State: 86:[74, 44, 16, 2], Operations: []
Exploring Operation: 74+44=118, Resulting Numbers: [16, 2, 118]
Generated Node #2: [16, 2, 118] from Operation: 74+44=118
Current State: 86:[16, 2, 118], Operations: ['74+44=118']
Exploring Operation: 16*2=32, Resulting Numbers: [118, 32]
Generated Node #3: [118, 32] from Operation: 16*2=32
Current State: 86:[118, 32], Operations: ['74+44=118', '16*2=32']
Exploring Operation: 118-32=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[74, 44, 16, 2], Operations: []
Exploring Operation: 74+16=90, Resulting Numbers: [44, 2, 90]
Generated Node #0,0: 86:[44, 2, 90] Operation: 74+16=90
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[44, 2, 90], Operations: ['74+16=90']
Exploring Operation: 90-44=46, Resulting Numbers: [2, 46]
Generated Node #0,0,0: 86:[2, 46] Operation: 90-44=46
Moving to Node #0,0,0
Current State: 86:[2, 46], Operations: ['74+16=90', '90-44=46']
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,86 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 |
[
22,
49,
87,
86
] | 70 | [
"22+49=71",
"87-86=1",
"71-1=70"
] | Current State: 70:[22, 49, 87, 86], Operations: []
Exploring Operation: 22+49=71, Resulting Numbers: [87, 86, 71]
Generated Node #2: [87, 86, 71] from Operation: 22+49=71
Current State: 70:[87, 86, 71], Operations: ['22+49=71']
Exploring Operation: 87-86=1, Resulting Numbers: [71, 1]
Generated Node #3: [71, 1] from Operation: 87-86=1
Current State: 70:[71, 1], Operations: ['22+49=71', '87-86=1']
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[22, 49, 87, 86], Operations: []
Exploring Operation: 87-49=38, Resulting Numbers: [22, 86, 38]
Generated Node #0,0: 70:[22, 86, 38] Operation: 87-49=38
Exploring Operation: 87-86=1, Resulting Numbers: [22, 49, 1]
Generated Node #0,1: 70:[22, 49, 1] Operation: 87-86=1
Moving to Node #0,1
Current State: 70:[22, 49, 1], Operations: ['87-86=1']
Exploring Operation: 22+49=71, Resulting Numbers: [1, 71]
Generated Node #0,1,0: 70:[1, 71] Operation: 22+49=71
Exploring Operation: 49-22=27, Resulting Numbers: [1, 27]
Generated Node #0,1,1: 70:[1, 27] Operation: 49-22=27
Moving to Node #0,0
Current State: 70:[22, 86, 38], Operations: ['87-49=38']
Exploring Operation: 86-22=64, Resulting Numbers: [38, 64]
Generated Node #0,0,0: 70:[38, 64] Operation: 86-22=64
Exploring Operation: 38-22=16, Resulting Numbers: [86, 16]
Generated Node #0,0,1: 70:[86, 16] Operation: 38-22=16
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[38, 64], Operations: ['87-49=38', '86-22=64']
Exploring Operation: 38+64=102, Resulting Numbers: [102]
102,70 unequal: No Solution
Exploring Operation: 64-38=26, Resulting Numbers: [26]
26,70 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 #0,0,1
Current State: 70:[86, 16], Operations: ['87-49=38', '38-22=16']
Exploring Operation: 86-16=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[22, 49, 87, 86], Operations: []
Exploring Operation: 87-49=38, Resulting Numbers: [22, 86, 38]
Generated Node #0,0: 70:[22, 86, 38] Operation: 87-49=38
Moving to Node #0,0
Current State: 70:[22, 86, 38], Operations: ['87-49=38']
Exploring Operation: 38-22=16, Resulting Numbers: [86, 16]
Generated Node #0,0,1: 70:[86, 16] Operation: 38-22=16
Moving to Node #0,0,1
Current State: 70:[86, 16], Operations: ['87-49=38', '38-22=16']
Exploring Operation: 86-16=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_2 | mult_heuristic |
[
24,
53,
2,
50
] | 77 | [
"53-24=29",
"50-2=48",
"29+48=77"
] | Current State: 77:[24, 53, 2, 50], Operations: []
Exploring Operation: 53-24=29, Resulting Numbers: [2, 50, 29]
Generated Node #2: [2, 50, 29] from Operation: 53-24=29
Current State: 77:[2, 50, 29], Operations: ['53-24=29']
Exploring Operation: 50-2=48, Resulting Numbers: [29, 48]
Generated Node #3: [29, 48] from Operation: 50-2=48
Current State: 77:[29, 48], Operations: ['53-24=29', '50-2=48']
Exploring Operation: 29+48=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[24, 53, 2, 50], Operations: []
Exploring Operation: 50-24=26, Resulting Numbers: [53, 2, 26]
Generated Node #0,0: 77:[53, 2, 26] Operation: 50-24=26
Exploring Operation: 24+53=77, Resulting Numbers: [2, 50, 77]
Generated Node #0,1: 77:[2, 50, 77] Operation: 24+53=77
Exploring Operation: 24+50=74, Resulting Numbers: [53, 2, 74]
Generated Node #0,2: 77:[53, 2, 74] Operation: 24+50=74
Exploring Operation: 53+50=103, Resulting Numbers: [24, 2, 103]
Generated Node #0,3: 77:[24, 2, 103] Operation: 53+50=103
Exploring Operation: 53-50=3, Resulting Numbers: [24, 2, 3]
Generated Node #0,4: 77:[24, 2, 3] Operation: 53-50=3
Start Sub Search at level 1: Moving to Node #0,4
Current State: 77:[24, 2, 3], Operations: ['53-50=3']
Exploring Operation: 24/2=12, Resulting Numbers: [3, 12]
Generated Node #0,4,0: 77:[3, 12] Operation: 24/2=12
Exploring Operation: 24/3=8, Resulting Numbers: [2, 8]
Generated Node #0,4,1: 77:[2, 8] Operation: 24/3=8
Exploring Operation: 24-2=22, Resulting Numbers: [3, 22]
Generated Node #0,4,2: 77:[3, 22] Operation: 24-2=22
Exploring Operation: 24*3=72, Resulting Numbers: [2, 72]
Generated Node #0,4,3: 77:[2, 72] Operation: 24*3=72
Exploring Operation: 2*3=6, Resulting Numbers: [24, 6]
Generated Node #0,4,4: 77:[24, 6] Operation: 2*3=6
Moving to Node #0,4,0
Current State: 77:[3, 12], Operations: ['53-50=3', '24/2=12']
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,77 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,77 unequal: No Solution
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,77 unequal: No Solution
Moving to Node #0,4,1
Current State: 77:[2, 8], Operations: ['53-50=3', '24/3=8']
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,77 unequal: No Solution
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,77 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,77 unequal: No Solution
Moving to Node #0,4,3
Current State: 77:[2, 72], Operations: ['53-50=3', '24*3=72']
Exploring Operation: 2+72=74, Resulting Numbers: [74]
74,77 unequal: No Solution
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,77 unequal: No Solution
Exploring Operation: 2*72=144, Resulting Numbers: [144]
144,77 unequal: No Solution
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,77 unequal: No Solution
Moving to Node #0,4,4
Current State: 77:[24, 6], Operations: ['53-50=3', '2*3=6']
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 24+6=30, Resulting Numbers: [30]
30,77 unequal: No Solution
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,77 unequal: No Solution
Exploring Operation: 24*6=144, Resulting Numbers: [144]
144,77 unequal: No Solution
Moving to Node #0,4,2
Current State: 77:[3, 22], Operations: ['53-50=3', '24-2=22']
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,77 unequal: No Solution
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,77 unequal: No Solution
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 77:[2, 50, 77], Operations: ['24+53=77']
Exploring Operation: 2+50=52, Resulting Numbers: [77, 52]
Generated Node #0,1,0: 77:[77, 52] Operation: 2+50=52
Exploring Operation: 77-50=27, Resulting Numbers: [2, 27]
Generated Node #0,1,1: 77:[2, 27] Operation: 77-50=27
Exploring Operation: 50-2=48, Resulting Numbers: [77, 48]
Generated Node #0,1,2: 77:[77, 48] Operation: 50-2=48
Exploring Operation: 2*50=100, Resulting Numbers: [77, 100]
Generated Node #0,1,3: 77:[77, 100] Operation: 2*50=100
Exploring Operation: 50/2=25, Resulting Numbers: [77, 25]
Generated Node #0,1,4: 77:[77, 25] Operation: 50/2=25
Moving to Node #0,1,4
Current State: 77:[77, 25], Operations: ['24+53=77', '50/2=25']
Exploring Operation: 77+25=102, Resulting Numbers: [102]
102,77 unequal: No Solution
Exploring Operation: 77*25=1925, Resulting Numbers: [1925]
1925,77 unequal: No Solution
Exploring Operation: 77-25=52, Resulting Numbers: [52]
52,77 unequal: No Solution
Moving to Node #0,1,1
Current State: 77:[2, 27], Operations: ['24+53=77', '77-50=27']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,77 unequal: No Solution
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,77 unequal: No Solution
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,77 unequal: No Solution
Moving to Node #0,1,3
Current State: 77:[77, 100], Operations: ['24+53=77', '2*50=100']
Exploring Operation: 77*100=7700, Resulting Numbers: [7700]
7700,77 unequal: No Solution
Exploring Operation: 100-77=23, Resulting Numbers: [23]
23,77 unequal: No Solution
Exploring Operation: 77+100=177, Resulting Numbers: [177]
177,77 unequal: No Solution
Moving to Node #0,1,0
Current State: 77:[77, 52], Operations: ['24+53=77', '2+50=52']
Exploring Operation: 77-52=25, Resulting Numbers: [25]
25,77 unequal: No Solution
Exploring Operation: 77+52=129, Resulting Numbers: [129]
129,77 unequal: No Solution
Exploring Operation: 77*52=4004, Resulting Numbers: [4004]
4004,77 unequal: No Solution
Moving to Node #0,1,2
Current State: 77:[77, 48], Operations: ['24+53=77', '50-2=48']
Exploring Operation: 77-48=29, Resulting Numbers: [29]
29,77 unequal: No Solution
Exploring Operation: 77*48=3696, Resulting Numbers: [3696]
3696,77 unequal: No Solution
Exploring Operation: 77+48=125, Resulting Numbers: [125]
125,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 77:[53, 2, 74], Operations: ['24+50=74']
Exploring Operation: 2+74=76, Resulting Numbers: [53, 76]
Generated Node #0,2,0: 77:[53, 76] Operation: 2+74=76
Exploring Operation: 74-53=21, Resulting Numbers: [2, 21]
Generated Node #0,2,1: 77:[2, 21] Operation: 74-53=21
Exploring Operation: 74-2=72, Resulting Numbers: [53, 72]
Generated Node #0,2,2: 77:[53, 72] Operation: 74-2=72
Exploring Operation: 53+2=55, Resulting Numbers: [74, 55]
Generated Node #0,2,3: 77:[74, 55] Operation: 53+2=55
Exploring Operation: 53-2=51, Resulting Numbers: [74, 51]
Generated Node #0,2,4: 77:[74, 51] Operation: 53-2=51
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 77:[2, 21], Operations: ['24+50=74', '74-53=21']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,77 unequal: No Solution
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,77 unequal: No Solution
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,77 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 #0,2,0
Current State: 77:[53, 76], Operations: ['24+50=74', '2+74=76']
Exploring Operation: 53+76=129, Resulting Numbers: [129]
129,77 unequal: No Solution
Exploring Operation: 53*76=4028, Resulting Numbers: [4028]
4028,77 unequal: No Solution
Exploring Operation: 76-53=23, Resulting Numbers: [23]
23,77 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 #0,2,3
Current State: 77:[74, 55], Operations: ['24+50=74', '53+2=55']
Exploring Operation: 74*55=4070, Resulting Numbers: [4070]
4070,77 unequal: No Solution
Exploring Operation: 74+55=129, Resulting Numbers: [129]
129,77 unequal: No Solution
Exploring Operation: 74-55=19, Resulting Numbers: [19]
19,77 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 #0,2,2
Current State: 77:[53, 72], Operations: ['24+50=74', '74-2=72']
Exploring Operation: 53*72=3816, Resulting Numbers: [3816]
3816,77 unequal: No Solution
Exploring Operation: 72-53=19, Resulting Numbers: [19]
19,77 unequal: No Solution
Exploring Operation: 53+72=125, Resulting Numbers: [125]
125,77 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 #0,2,4
Current State: 77:[74, 51], Operations: ['24+50=74', '53-2=51']
Exploring Operation: 74+51=125, Resulting Numbers: [125]
125,77 unequal: No Solution
Exploring Operation: 74-51=23, Resulting Numbers: [23]
23,77 unequal: No Solution
Exploring Operation: 74*51=3774, Resulting Numbers: [3774]
3774,77 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 #0,0
Current State: 77:[53, 2, 26], Operations: ['50-24=26']
Exploring Operation: 53-26=27, Resulting Numbers: [2, 27]
Generated Node #0,0,0: 77:[2, 27] Operation: 53-26=27
Exploring Operation: 53+26=79, Resulting Numbers: [2, 79]
Generated Node #0,0,1: 77:[2, 79] Operation: 53+26=79
Exploring Operation: 26/2=13, Resulting Numbers: [53, 13]
Generated Node #0,0,2: 77:[53, 13] Operation: 26/2=13
Exploring Operation: 26-2=24, Resulting Numbers: [53, 24]
Generated Node #0,0,3: 77:[53, 24] Operation: 26-2=24
Exploring Operation: 53+2=55, Resulting Numbers: [26, 55]
Generated Node #0,0,4: 77:[26, 55] Operation: 53+2=55
Moving to Node #0,0,1
Current State: 77:[2, 79], Operations: ['50-24=26', '53+26=79']
Exploring Operation: 2+79=81, Resulting Numbers: [81]
81,77 unequal: No Solution
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[24, 53, 2, 50], Operations: []
Exploring Operation: 50-24=26, Resulting Numbers: [53, 2, 26]
Generated Node #0,0: 77:[53, 2, 26] Operation: 50-24=26
Moving to Node #0,0
Current State: 77:[53, 2, 26], Operations: ['50-24=26']
Exploring Operation: 53+26=79, Resulting Numbers: [2, 79]
Generated Node #0,0,1: 77:[2, 79] Operation: 53+26=79
Moving to Node #0,0,1
Current State: 77:[2, 79], Operations: ['50-24=26', '53+26=79']
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.930556 | hs_5 | sum_heuristic |
[
34,
63,
57,
19
] | 32 | [
"63-34=29",
"57/19=3",
"29+3=32"
] | Current State: 32:[34, 63, 57, 19], Operations: []
Exploring Operation: 63-34=29, Resulting Numbers: [57, 19, 29]
Generated Node #2: [57, 19, 29] from Operation: 63-34=29
Current State: 32:[57, 19, 29], Operations: ['63-34=29']
Exploring Operation: 57/19=3, Resulting Numbers: [29, 3]
Generated Node #3: [29, 3] from Operation: 57/19=3
Current State: 32:[29, 3], Operations: ['63-34=29', '57/19=3']
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[34, 63, 57, 19], Operations: []
Exploring Operation: 63-34=29, Resulting Numbers: [57, 19, 29]
Generated Node #0,0: 32:[57, 19, 29] Operation: 63-34=29
Exploring Operation: 63-57=6, Resulting Numbers: [34, 19, 6]
Generated Node #0,1: 32:[34, 19, 6] Operation: 63-57=6
Exploring Operation: 57/19=3, Resulting Numbers: [34, 63, 3]
Generated Node #0,2: 32:[34, 63, 3] Operation: 57/19=3
Exploring Operation: 63-19=44, Resulting Numbers: [34, 57, 44]
Generated Node #0,3: 32:[34, 57, 44] Operation: 63-19=44
Exploring Operation: 57-19=38, Resulting Numbers: [34, 63, 38]
Generated Node #0,4: 32:[34, 63, 38] Operation: 57-19=38
Start Sub Search at level 1: Moving to Node #0,1
Current State: 32:[34, 19, 6], Operations: ['63-57=6']
Exploring Operation: 19+6=25, Resulting Numbers: [34, 25]
Generated Node #0,1,0: 32:[34, 25] Operation: 19+6=25
Exploring Operation: 34-19=15, Resulting Numbers: [6, 15]
Generated Node #0,1,1: 32:[6, 15] Operation: 34-19=15
Exploring Operation: 34+6=40, Resulting Numbers: [19, 40]
Generated Node #0,1,2: 32:[19, 40] Operation: 34+6=40
Exploring Operation: 19-6=13, Resulting Numbers: [34, 13]
Generated Node #0,1,3: 32:[34, 13] Operation: 19-6=13
Exploring Operation: 34-6=28, Resulting Numbers: [19, 28]
Generated Node #0,1,4: 32:[19, 28] Operation: 34-6=28
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 32:[6, 15], Operations: ['63-57=6', '34-19=15']
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,32 unequal: No Solution
Exploring Operation: 6*15=90, Resulting Numbers: [90]
90,32 unequal: No Solution
Exploring Operation: 6+15=21, Resulting Numbers: [21]
21,32 unequal: No Solution
No 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: 32:[34, 13], Operations: ['63-57=6', '19-6=13']
Exploring Operation: 34-13=21, Resulting Numbers: [21]
21,32 unequal: No Solution
Exploring Operation: 34*13=442, Resulting Numbers: [442]
442,32 unequal: No Solution
Exploring Operation: 34+13=47, Resulting Numbers: [47]
47,32 unequal: No Solution
No 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: 32:[19, 28], Operations: ['63-57=6', '34-6=28']
Exploring Operation: 19+28=47, Resulting Numbers: [47]
47,32 unequal: No Solution
Exploring Operation: 28-19=9, Resulting Numbers: [9]
9,32 unequal: No Solution
Exploring Operation: 19*28=532, Resulting Numbers: [532]
532,32 unequal: No Solution
No 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: 32:[34, 25], Operations: ['63-57=6', '19+6=25']
Exploring Operation: 34*25=850, Resulting Numbers: [850]
850,32 unequal: No Solution
Exploring Operation: 34+25=59, Resulting Numbers: [59]
59,32 unequal: No Solution
Exploring Operation: 34-25=9, Resulting Numbers: [9]
9,32 unequal: No Solution
No 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: 32:[19, 40], Operations: ['63-57=6', '34+6=40']
Exploring Operation: 19*40=760, Resulting Numbers: [760]
760,32 unequal: No Solution
Exploring Operation: 19+40=59, Resulting Numbers: [59]
59,32 unequal: No Solution
Exploring Operation: 40-19=21, Resulting Numbers: [21]
21,32 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: 32:[57, 19, 29], Operations: ['63-34=29']
Exploring Operation: 57/19=3, Resulting Numbers: [29, 3]
Generated Node #0,0,0: 32:[29, 3] Operation: 57/19=3
Exploring Operation: 19+29=48, Resulting Numbers: [57, 48]
Generated Node #0,0,1: 32:[57, 48] Operation: 19+29=48
Exploring Operation: 57-29=28, Resulting Numbers: [19, 28]
Generated Node #0,0,2: 32:[19, 28] Operation: 57-29=28
Exploring Operation: 29-19=10, Resulting Numbers: [57, 10]
Generated Node #0,0,3: 32:[57, 10] Operation: 29-19=10
Exploring Operation: 57-19=38, Resulting Numbers: [29, 38]
Generated Node #0,0,4: 32:[29, 38] Operation: 57-19=38
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 32:[29, 3], Operations: ['63-34=29', '57/19=3']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,32 unequal: No Solution
Exploring Operation: 29*3=87, Resulting Numbers: [87]
87,32 unequal: No Solution
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[34, 63, 57, 19], Operations: []
Exploring Operation: 63-34=29, Resulting Numbers: [57, 19, 29]
Generated Node #0,0: 32:[57, 19, 29] Operation: 63-34=29
Moving to Node #0,0
Current State: 32:[57, 19, 29], Operations: ['63-34=29']
Exploring Operation: 57/19=3, Resulting Numbers: [29, 3]
Generated Node #0,0,0: 32:[29, 3] Operation: 57/19=3
Moving to Node #0,0,0
Current State: 32:[29, 3], Operations: ['63-34=29', '57/19=3']
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967882 | hs_5 | mult_heuristic |
[
73,
59,
27,
31
] | 72 | [
"73-59=14",
"27+31=58",
"14+58=72"
] | Current State: 72:[73, 59, 27, 31], Operations: []
Exploring Operation: 73-59=14, Resulting Numbers: [27, 31, 14]
Generated Node #2: [27, 31, 14] from Operation: 73-59=14
Current State: 72:[27, 31, 14], Operations: ['73-59=14']
Exploring Operation: 27+31=58, Resulting Numbers: [14, 58]
Generated Node #3: [14, 58] from Operation: 27+31=58
Current State: 72:[14, 58], Operations: ['73-59=14', '27+31=58']
Exploring Operation: 14+58=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[73, 59, 27, 31], Operations: []
Exploring Operation: 73-59=14, Resulting Numbers: [27, 31, 14]
Generated Node #0,0: 72:[27, 31, 14] Operation: 73-59=14
Exploring Operation: 59+27=86, Resulting Numbers: [73, 31, 86]
Generated Node #0,1: 72:[73, 31, 86] Operation: 59+27=86
Exploring Operation: 59-27=32, Resulting Numbers: [73, 31, 32]
Generated Node #0,2: 72:[73, 31, 32] Operation: 59-27=32
Exploring Operation: 59-31=28, Resulting Numbers: [73, 27, 28]
Generated Node #0,3: 72:[73, 27, 28] Operation: 59-31=28
Exploring Operation: 31-27=4, Resulting Numbers: [73, 59, 4]
Generated Node #0,4: 72:[73, 59, 4] Operation: 31-27=4
Start Sub Search at level 1: Moving to Node #0,3
Current State: 72:[73, 27, 28], Operations: ['59-31=28']
Exploring Operation: 28-27=1, Resulting Numbers: [73, 1]
Generated Node #0,3,0: 72:[73, 1] Operation: 28-27=1
Exploring Operation: 73-28=45, Resulting Numbers: [27, 45]
Generated Node #0,3,1: 72:[27, 45] Operation: 73-28=45
Exploring Operation: 73+27=100, Resulting Numbers: [28, 100]
Generated Node #0,3,2: 72:[28, 100] Operation: 73+27=100
Exploring Operation: 73-27=46, Resulting Numbers: [28, 46]
Generated Node #0,3,3: 72:[28, 46] Operation: 73-27=46
Exploring Operation: 27+28=55, Resulting Numbers: [73, 55]
Generated Node #0,3,4: 72:[73, 55] Operation: 27+28=55
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 72:[73, 1], Operations: ['59-31=28', '28-27=1']
Exploring Operation: 73-1=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[73, 59, 27, 31], Operations: []
Exploring Operation: 59-31=28, Resulting Numbers: [73, 27, 28]
Generated Node #0,3: 72:[73, 27, 28] Operation: 59-31=28
Moving to Node #0,3
Current State: 72:[73, 27, 28], Operations: ['59-31=28']
Exploring Operation: 28-27=1, Resulting Numbers: [73, 1]
Generated Node #0,3,0: 72:[73, 1] Operation: 28-27=1
Moving to Node #0,3,0
Current State: 72:[73, 1], Operations: ['59-31=28', '28-27=1']
Exploring Operation: 73-1=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
97,
49,
73,
72
] | 52 | [
"97-73=24",
"72/24=3",
"49+3=52"
] | Current State: 52:[97, 49, 73, 72], Operations: []
Exploring Operation: 97-73=24, Resulting Numbers: [49, 72, 24]
Generated Node #2: [49, 72, 24] from Operation: 97-73=24
Current State: 52:[49, 72, 24], Operations: ['97-73=24']
Exploring Operation: 72/24=3, Resulting Numbers: [49, 3]
Generated Node #3: [49, 3] from Operation: 72/24=3
Current State: 52:[49, 3], Operations: ['97-73=24', '72/24=3']
Exploring Operation: 49+3=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[97, 49, 73, 72], Operations: []
Exploring Operation: 97-49=48, Resulting Numbers: [73, 72, 48]
Generated Node #0,0: 52:[73, 72, 48] Operation: 97-49=48
Exploring Operation: 97-72=25, Resulting Numbers: [49, 73, 25]
Generated Node #0,1: 52:[49, 73, 25] Operation: 97-72=25
Exploring Operation: 97-73=24, Resulting Numbers: [49, 72, 24]
Generated Node #0,2: 52:[49, 72, 24] Operation: 97-73=24
Exploring Operation: 73-72=1, Resulting Numbers: [97, 49, 1]
Generated Node #0,3: 52:[97, 49, 1] Operation: 73-72=1
Moving to Node #0,1
Current State: 52:[49, 73, 25], Operations: ['97-72=25']
Exploring Operation: 49-25=24, Resulting Numbers: [73, 24]
Generated Node #0,1,0: 52:[73, 24] Operation: 49-25=24
Exploring Operation: 49+25=74, Resulting Numbers: [73, 74]
Generated Node #0,1,1: 52:[73, 74] Operation: 49+25=74
Exploring Operation: 73-49=24, Resulting Numbers: [25, 24]
Generated Node #0,1,2: 52:[25, 24] Operation: 73-49=24
Exploring Operation: 73-25=48, Resulting Numbers: [49, 48]
Generated Node #0,1,3: 52:[49, 48] Operation: 73-25=48
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 52:[25, 24], Operations: ['97-72=25', '73-49=24']
Exploring Operation: 25-24=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 25*24=600, Resulting Numbers: [600]
600,52 unequal: No Solution
Exploring Operation: 25+24=49, Resulting Numbers: [49]
49,52 unequal: No Solution
No 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: 52:[49, 48], Operations: ['97-72=25', '73-25=48']
Exploring Operation: 49-48=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 49+48=97, Resulting Numbers: [97]
97,52 unequal: No Solution
Exploring Operation: 49*48=2352, Resulting Numbers: [2352]
2352,52 unequal: No Solution
No 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: 52:[73, 24], Operations: ['97-72=25', '49-25=24']
Exploring Operation: 73*24=1752, Resulting Numbers: [1752]
1752,52 unequal: No Solution
Exploring Operation: 73+24=97, Resulting Numbers: [97]
97,52 unequal: No Solution
Exploring Operation: 73-24=49, Resulting Numbers: [49]
49,52 unequal: No Solution
No 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: 52:[73, 74], Operations: ['97-72=25', '49+25=74']
Exploring Operation: 73+74=147, Resulting Numbers: [147]
147,52 unequal: No Solution
Exploring Operation: 74-73=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 73*74=5402, Resulting Numbers: [5402]
5402,52 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: 52:[49, 72, 24], Operations: ['97-73=24']
Exploring Operation: 72-24=48, Resulting Numbers: [49, 48]
Generated Node #0,2,0: 52:[49, 48] Operation: 72-24=48
Exploring Operation: 72/24=3, Resulting Numbers: [49, 3]
Generated Node #0,2,1: 52:[49, 3] Operation: 72/24=3
Exploring Operation: 72-49=23, Resulting Numbers: [24, 23]
Generated Node #0,2,2: 52:[24, 23] Operation: 72-49=23
Exploring Operation: 49-24=25, Resulting Numbers: [72, 25]
Generated Node #0,2,3: 52:[72, 25] Operation: 49-24=25
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 52:[49, 3], Operations: ['97-73=24', '72/24=3']
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,52 unequal: No Solution
Exploring Operation: 49+3=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[97, 49, 73, 72], Operations: []
Exploring Operation: 97-73=24, Resulting Numbers: [49, 72, 24]
Generated Node #0,2: 52:[49, 72, 24] Operation: 97-73=24
Moving to Node #0,2
Current State: 52:[49, 72, 24], Operations: ['97-73=24']
Exploring Operation: 72/24=3, Resulting Numbers: [49, 3]
Generated Node #0,2,1: 52:[49, 3] Operation: 72/24=3
Moving to Node #0,2,1
Current State: 52:[49, 3], Operations: ['97-73=24', '72/24=3']
Exploring Operation: 49+3=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_4 | sum_heuristic |
[
50,
26,
47,
78
] | 94 | [
"50+26=76",
"78-76=2",
"47*2=94"
] | Current State: 94:[50, 26, 47, 78], Operations: []
Exploring Operation: 50+26=76, Resulting Numbers: [47, 78, 76]
Generated Node #2: [47, 78, 76] from Operation: 50+26=76
Current State: 94:[47, 78, 76], Operations: ['50+26=76']
Exploring Operation: 78-76=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 78-76=2
Current State: 94:[47, 2], Operations: ['50+26=76', '78-76=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[50, 26, 47, 78], Operations: []
Exploring Operation: 78-26=52, Resulting Numbers: [50, 47, 52]
Generated Node #0,0: 94:[50, 47, 52] Operation: 78-26=52
Exploring Operation: 26+78=104, Resulting Numbers: [50, 47, 104]
Generated Node #0,1: 94:[50, 47, 104] Operation: 26+78=104
Exploring Operation: 78/26=3, Resulting Numbers: [50, 47, 3]
Generated Node #0,2: 94:[50, 47, 3] Operation: 78/26=3
Exploring Operation: 50+26=76, Resulting Numbers: [47, 78, 76]
Generated Node #0,3: 94:[47, 78, 76] Operation: 50+26=76
Moving to Node #0,2
Current State: 94:[50, 47, 3], Operations: ['78/26=3']
Exploring Operation: 50+47=97, Resulting Numbers: [3, 97]
Generated Node #0,2,0: 94:[3, 97] Operation: 50+47=97
Exploring Operation: 50-3=47, Resulting Numbers: [47, 47]
Generated Node #0,2,1: 94:[47, 47] Operation: 50-3=47
Exploring Operation: 50+3=53, Resulting Numbers: [47, 53]
Generated Node #0,2,2: 94:[47, 53] Operation: 50+3=53
Exploring Operation: 50-47=3, Resulting Numbers: [3, 3]
Generated Node #0,2,3: 94:[3, 3] Operation: 50-47=3
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 94:[47, 47], Operations: ['78/26=3', '50-3=47']
Exploring Operation: 47*47=2209, Resulting Numbers: [2209]
2209,94 unequal: No Solution
Exploring Operation: 47/47=1, Resulting Numbers: [1]
1,94 unequal: No Solution
Exploring Operation: 47+47=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[50, 26, 47, 78], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [50, 47, 3]
Generated Node #0,2: 94:[50, 47, 3] Operation: 78/26=3
Moving to Node #0,2
Current State: 94:[50, 47, 3], Operations: ['78/26=3']
Exploring Operation: 50-3=47, Resulting Numbers: [47, 47]
Generated Node #0,2,1: 94:[47, 47] Operation: 50-3=47
Moving to Node #0,2,1
Current State: 94:[47, 47], Operations: ['78/26=3', '50-3=47']
Exploring Operation: 47+47=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
49,
61,
28,
66
] | 82 | [
"61-49=12",
"28+66=94",
"94-12=82"
] | Current State: 82:[49, 61, 28, 66], Operations: []
Exploring Operation: 61-49=12, Resulting Numbers: [28, 66, 12]
Generated Node #2: [28, 66, 12] from Operation: 61-49=12
Current State: 82:[28, 66, 12], Operations: ['61-49=12']
Exploring Operation: 28+66=94, Resulting Numbers: [12, 94]
Generated Node #3: [12, 94] from Operation: 28+66=94
Current State: 82:[12, 94], Operations: ['61-49=12', '28+66=94']
Exploring Operation: 94-12=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[49, 61, 28, 66], Operations: []
Exploring Operation: 66-61=5, Resulting Numbers: [49, 28, 5]
Generated Node #0,0: 82:[49, 28, 5] Operation: 66-61=5
Exploring Operation: 61+28=89, Resulting Numbers: [49, 66, 89]
Generated Node #0,1: 82:[49, 66, 89] Operation: 61+28=89
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[49, 28, 5], Operations: ['66-61=5']
Exploring Operation: 49+28=77, Resulting Numbers: [5, 77]
Generated Node #0,0,0: 82:[5, 77] Operation: 49+28=77
Exploring Operation: 49-5=44, Resulting Numbers: [28, 44]
Generated Node #0,0,1: 82:[28, 44] Operation: 49-5=44
Moving to Node #0,0,0
Current State: 82:[5, 77], Operations: ['66-61=5', '49+28=77']
Exploring Operation: 77-5=72, Resulting Numbers: [72]
72,82 unequal: No Solution
Exploring Operation: 5+77=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[49, 61, 28, 66], Operations: []
Exploring Operation: 66-61=5, Resulting Numbers: [49, 28, 5]
Generated Node #0,0: 82:[49, 28, 5] Operation: 66-61=5
Moving to Node #0,0
Current State: 82:[49, 28, 5], Operations: ['66-61=5']
Exploring Operation: 49+28=77, Resulting Numbers: [5, 77]
Generated Node #0,0,0: 82:[5, 77] Operation: 49+28=77
Moving to Node #0,0,0
Current State: 82:[5, 77], Operations: ['66-61=5', '49+28=77']
Exploring Operation: 5+77=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
58,
42,
30,
4
] | 76 | [
"42+30=72",
"72/4=18",
"58+18=76"
] | Current State: 76:[58, 42, 30, 4], Operations: []
Exploring Operation: 42+30=72, Resulting Numbers: [58, 4, 72]
Generated Node #2: [58, 4, 72] from Operation: 42+30=72
Current State: 76:[58, 4, 72], Operations: ['42+30=72']
Exploring Operation: 72/4=18, Resulting Numbers: [58, 18]
Generated Node #3: [58, 18] from Operation: 72/4=18
Current State: 76:[58, 18], Operations: ['42+30=72', '72/4=18']
Exploring Operation: 58+18=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[58, 42, 30, 4], Operations: []
Exploring Operation: 42+30=72, Resulting Numbers: [58, 4, 72]
Generated Node #0,0: 76:[58, 4, 72] Operation: 42+30=72
Exploring Operation: 58-42=16, Resulting Numbers: [30, 4, 16]
Generated Node #0,1: 76:[30, 4, 16] Operation: 58-42=16
Exploring Operation: 58-30=28, Resulting Numbers: [42, 4, 28]
Generated Node #0,2: 76:[42, 4, 28] Operation: 58-30=28
Exploring Operation: 58+30=88, Resulting Numbers: [42, 4, 88]
Generated Node #0,3: 76:[42, 4, 88] Operation: 58+30=88
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[30, 4, 16], Operations: ['58-42=16']
Exploring Operation: 30-16=14, Resulting Numbers: [4, 14]
Generated Node #0,1,0: 76:[4, 14] Operation: 30-16=14
Exploring Operation: 30+4=34, Resulting Numbers: [16, 34]
Generated Node #0,1,1: 76:[16, 34] Operation: 30+4=34
Exploring Operation: 16/4=4, Resulting Numbers: [30, 4]
Generated Node #0,1,2: 76:[30, 4] Operation: 16/4=4
Exploring Operation: 30+16=46, Resulting Numbers: [4, 46]
Generated Node #0,1,3: 76:[4, 46] Operation: 30+16=46
Moving to Node #0,1,0
Current State: 76:[4, 14], Operations: ['58-42=16', '30-16=14']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,76 unequal: No Solution
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,76 unequal: No Solution
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[16, 34], Operations: ['58-42=16', '30+4=34']
Exploring Operation: 16+34=50, Resulting Numbers: [50]
50,76 unequal: No Solution
Exploring Operation: 16*34=544, Resulting Numbers: [544]
544,76 unequal: No Solution
Exploring Operation: 34-16=18, Resulting Numbers: [18]
18,76 unequal: No Solution
Moving to Node #0,1,3
Current State: 76:[4, 46], Operations: ['58-42=16', '30+16=46']
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,76 unequal: No Solution
Exploring Operation: 4+46=50, Resulting Numbers: [50]
50,76 unequal: No Solution
Exploring Operation: 4*46=184, Resulting Numbers: [184]
184,76 unequal: No Solution
Moving to Node #0,1,2
Current State: 76:[30, 4], Operations: ['58-42=16', '16/4=4']
Exploring Operation: 30*4=120, Resulting Numbers: [120]
120,76 unequal: No Solution
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,76 unequal: No Solution
Exploring Operation: 30+4=34, Resulting Numbers: [34]
34,76 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:[42, 4, 28], Operations: ['58-30=28']
Exploring Operation: 42-28=14, Resulting Numbers: [4, 14]
Generated Node #0,2,0: 76:[4, 14] Operation: 42-28=14
Exploring Operation: 28/4=7, Resulting Numbers: [42, 7]
Generated Node #0,2,1: 76:[42, 7] Operation: 28/4=7
Exploring Operation: 42-4=38, Resulting Numbers: [28, 38]
Generated Node #0,2,2: 76:[28, 38] Operation: 42-4=38
Exploring Operation: 42+28=70, Resulting Numbers: [4, 70]
Generated Node #0,2,3: 76:[4, 70] Operation: 42+28=70
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 76:[4, 14], Operations: ['58-30=28', '42-28=14']
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,76 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,76 unequal: No Solution
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,76 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:[4, 70], Operations: ['58-30=28', '42+28=70']
Exploring Operation: 70-4=66, Resulting Numbers: [66]
66,76 unequal: No Solution
Exploring Operation: 4*70=280, Resulting Numbers: [280]
280,76 unequal: No Solution
Exploring Operation: 4+70=74, Resulting Numbers: [74]
74,76 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:[42, 7], Operations: ['58-30=28', '28/4=7']
Exploring Operation: 42/7=6, Resulting Numbers: [6]
6,76 unequal: No Solution
Exploring Operation: 42*7=294, Resulting Numbers: [294]
294,76 unequal: No Solution
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,76 unequal: No Solution
Exploring Operation: 42+7=49, Resulting Numbers: [49]
49,76 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 #0,2,2
Current State: 76:[28, 38], Operations: ['58-30=28', '42-4=38']
Exploring Operation: 38-28=10, Resulting Numbers: [10]
10,76 unequal: No Solution
Exploring Operation: 28+38=66, Resulting Numbers: [66]
66,76 unequal: No Solution
Exploring Operation: 28*38=1064, Resulting Numbers: [1064]
1064,76 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 #0,3
Current State: 76:[42, 4, 88], Operations: ['58+30=88']
Exploring Operation: 88-42=46, Resulting Numbers: [4, 46]
Generated Node #0,3,0: 76:[4, 46] Operation: 88-42=46
Exploring Operation: 42-4=38, Resulting Numbers: [88, 38]
Generated Node #0,3,1: 76:[88, 38] Operation: 42-4=38
Exploring Operation: 88/4=22, Resulting Numbers: [42, 22]
Generated Node #0,3,2: 76:[42, 22] Operation: 88/4=22
Exploring Operation: 88-4=84, Resulting Numbers: [42, 84]
Generated Node #0,3,3: 76:[42, 84] Operation: 88-4=84
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 76:[42, 22], Operations: ['58+30=88', '88/4=22']
Exploring Operation: 42*22=924, Resulting Numbers: [924]
924,76 unequal: No Solution
Exploring Operation: 42-22=20, Resulting Numbers: [20]
20,76 unequal: No Solution
Exploring Operation: 42+22=64, Resulting Numbers: [64]
64,76 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 #0,3,0
Current State: 76:[4, 46], Operations: ['58+30=88', '88-42=46']
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,76 unequal: No Solution
Exploring Operation: 4*46=184, Resulting Numbers: [184]
184,76 unequal: No Solution
Exploring Operation: 4+46=50, Resulting Numbers: [50]
50,76 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 #0,3,1
Current State: 76:[88, 38], Operations: ['58+30=88', '42-4=38']
Exploring Operation: 88+38=126, Resulting Numbers: [126]
126,76 unequal: No Solution
Exploring Operation: 88-38=50, Resulting Numbers: [50]
50,76 unequal: No Solution
Exploring Operation: 88*38=3344, Resulting Numbers: [3344]
3344,76 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 #0,3,3
Current State: 76:[42, 84], Operations: ['58+30=88', '88-4=84']
Exploring Operation: 42*84=3528, Resulting Numbers: [3528]
3528,76 unequal: No Solution
Exploring Operation: 42+84=126, Resulting Numbers: [126]
126,76 unequal: No Solution
Exploring Operation: 84-42=42, Resulting Numbers: [42]
42,76 unequal: No Solution
Exploring Operation: 84/42=2, Resulting Numbers: [2]
2,76 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 #0,0
Current State: 76:[58, 4, 72], Operations: ['42+30=72']
Exploring Operation: 72/4=18, Resulting Numbers: [58, 18]
Generated Node #0,0,0: 76:[58, 18] Operation: 72/4=18
Exploring Operation: 4+72=76, Resulting Numbers: [58, 76]
Generated Node #0,0,1: 76:[58, 76] Operation: 4+72=76
Exploring Operation: 58+4=62, Resulting Numbers: [72, 62]
Generated Node #0,0,2: 76:[72, 62] Operation: 58+4=62
Exploring Operation: 72-58=14, Resulting Numbers: [4, 14]
Generated Node #0,0,3: 76:[4, 14] Operation: 72-58=14
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 76:[4, 14], Operations: ['42+30=72', '72-58=14']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,76 unequal: No Solution
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,76 unequal: No Solution
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 76:[58, 76], Operations: ['42+30=72', '4+72=76']
Exploring Operation: 58+76=134, Resulting Numbers: [134]
134,76 unequal: No Solution
Exploring Operation: 58*76=4408, Resulting Numbers: [4408]
4408,76 unequal: No Solution
Exploring Operation: 76-58=18, Resulting Numbers: [18]
18,76 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:[72, 62], Operations: ['42+30=72', '58+4=62']
Exploring Operation: 72+62=134, Resulting Numbers: [134]
134,76 unequal: No Solution
Exploring Operation: 72-62=10, Resulting Numbers: [10]
10,76 unequal: No Solution
Exploring Operation: 72*62=4464, Resulting Numbers: [4464]
4464,76 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:[58, 18], Operations: ['42+30=72', '72/4=18']
Exploring Operation: 58+18=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[58, 42, 30, 4], Operations: []
Exploring Operation: 42+30=72, Resulting Numbers: [58, 4, 72]
Generated Node #0,0: 76:[58, 4, 72] Operation: 42+30=72
Moving to Node #0,0
Current State: 76:[58, 4, 72], Operations: ['42+30=72']
Exploring Operation: 72/4=18, Resulting Numbers: [58, 18]
Generated Node #0,0,0: 76:[58, 18] Operation: 72/4=18
Moving to Node #0,0,0
Current State: 76:[58, 18], Operations: ['42+30=72', '72/4=18']
Exploring Operation: 58+18=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.9375 | hs_4 | mult_heuristic |
[
7,
92,
38,
28
] | 75 | [
"92-7=85",
"38-28=10",
"85-10=75"
] | Current State: 75:[7, 92, 38, 28], Operations: []
Exploring Operation: 92-7=85, Resulting Numbers: [38, 28, 85]
Generated Node #2: [38, 28, 85] from Operation: 92-7=85
Current State: 75:[38, 28, 85], Operations: ['92-7=85']
Exploring Operation: 38-28=10, Resulting Numbers: [85, 10]
Generated Node #3: [85, 10] from Operation: 38-28=10
Current State: 75:[85, 10], Operations: ['92-7=85', '38-28=10']
Exploring Operation: 85-10=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[7, 92, 38, 28], Operations: []
Exploring Operation: 92-7=85, Resulting Numbers: [38, 28, 85]
Generated Node #0,0: 75:[38, 28, 85] Operation: 92-7=85
Exploring Operation: 38-28=10, Resulting Numbers: [7, 92, 10]
Generated Node #0,1: 75:[7, 92, 10] Operation: 38-28=10
Moving to Node #0,1
Current State: 75:[7, 92, 10], Operations: ['38-28=10']
Exploring Operation: 92-10=82, Resulting Numbers: [7, 82]
Generated Node #0,1,0: 75:[7, 82] Operation: 92-10=82
Exploring Operation: 92-7=85, Resulting Numbers: [10, 85]
Generated Node #0,1,1: 75:[10, 85] Operation: 92-7=85
Moving to Node #0,0
Current State: 75:[38, 28, 85], Operations: ['92-7=85']
Exploring Operation: 38+28=66, Resulting Numbers: [85, 66]
Generated Node #0,0,0: 75:[85, 66] Operation: 38+28=66
Exploring Operation: 38-28=10, Resulting Numbers: [85, 10]
Generated Node #0,0,1: 75:[85, 10] Operation: 38-28=10
Moving to Node #0,1,0
Current State: 75:[7, 82], Operations: ['38-28=10', '92-10=82']
Exploring Operation: 82-7=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[7, 92, 38, 28], Operations: []
Exploring Operation: 38-28=10, Resulting Numbers: [7, 92, 10]
Generated Node #0,1: 75:[7, 92, 10] Operation: 38-28=10
Moving to Node #0,1
Current State: 75:[7, 92, 10], Operations: ['38-28=10']
Exploring Operation: 92-10=82, Resulting Numbers: [7, 82]
Generated Node #0,1,0: 75:[7, 82] Operation: 92-10=82
Moving to Node #0,1,0
Current State: 75:[7, 82], Operations: ['38-28=10', '92-10=82']
Exploring Operation: 82-7=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 0.990451 | hs_2 | sum_heuristic |
[
18,
86,
16,
70
] | 51 | [
"18-16=2",
"70/2=35",
"86-35=51"
] | Current State: 51:[18, 86, 16, 70], Operations: []
Exploring Operation: 18-16=2, Resulting Numbers: [86, 70, 2]
Generated Node #2: [86, 70, 2] from Operation: 18-16=2
Current State: 51:[86, 70, 2], Operations: ['18-16=2']
Exploring Operation: 70/2=35, Resulting Numbers: [86, 35]
Generated Node #3: [86, 35] from Operation: 70/2=35
Current State: 51:[86, 35], Operations: ['18-16=2', '70/2=35']
Exploring Operation: 86-35=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[18, 86, 16, 70], Operations: []
Exploring Operation: 86-70=16, Resulting Numbers: [18, 16, 16]
Generated Node #0,0: 51:[18, 16, 16] Operation: 86-70=16
Exploring Operation: 70-18=52, Resulting Numbers: [86, 16, 52]
Generated Node #0,1: 51:[86, 16, 52] Operation: 70-18=52
Exploring Operation: 86-18=68, Resulting Numbers: [16, 70, 68]
Generated Node #0,2: 51:[16, 70, 68] Operation: 86-18=68
Exploring Operation: 86-16=70, Resulting Numbers: [18, 70, 70]
Generated Node #0,3: 51:[18, 70, 70] Operation: 86-16=70
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[18, 16, 16], Operations: ['86-70=16']
Exploring Operation: 16/16=1, Resulting Numbers: [18, 1]
Generated Node #0,0,0: 51:[18, 1] Operation: 16/16=1
Exploring Operation: 18-16=2, Resulting Numbers: [16, 2]
Generated Node #0,0,1: 51:[16, 2] Operation: 18-16=2
Exploring Operation: 16-16=0, Resulting Numbers: [18, 0]
Generated Node #0,0,2: 51:[18, 0] Operation: 16-16=0
Exploring Operation: 18-16=2, Resulting Numbers: [16, 2]
Generated Node #0,0,3: 51:[16, 2] Operation: 18-16=2
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 51:[16, 2], Operations: ['86-70=16', '18-16=2']
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,51 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 51:[16, 2], Operations: ['86-70=16', '18-16=2']
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,51 unequal: No Solution
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 51:[18, 1], Operations: ['86-70=16', '16/16=1']
Exploring Operation: 18/1=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 18+1=19, Resulting Numbers: [19]
19,51 unequal: No Solution
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 51:[18, 0], Operations: ['86-70=16', '16-16=0']
Exploring Operation: 18+0=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 18*0=0, Resulting Numbers: [0]
0,51 unequal: No Solution
Exploring Operation: 18-0=18, Resulting Numbers: [18]
18,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[86, 16, 52], Operations: ['70-18=52']
Exploring Operation: 86-16=70, Resulting Numbers: [52, 70]
Generated Node #0,1,0: 51:[52, 70] Operation: 86-16=70
Exploring Operation: 86+16=102, Resulting Numbers: [52, 102]
Generated Node #0,1,1: 51:[52, 102] Operation: 86+16=102
Exploring Operation: 86-52=34, Resulting Numbers: [16, 34]
Generated Node #0,1,2: 51:[16, 34] Operation: 86-52=34
Exploring Operation: 52-16=36, Resulting Numbers: [86, 36]
Generated Node #0,1,3: 51:[86, 36] Operation: 52-16=36
Moving to Node #0,1,2
Current State: 51:[16, 34], Operations: ['70-18=52', '86-52=34']
Exploring Operation: 34-16=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 16+34=50, Resulting Numbers: [50]
50,51 unequal: No Solution
Exploring Operation: 16*34=544, Resulting Numbers: [544]
544,51 unequal: No Solution
Moving to Node #0,1,0
Current State: 51:[52, 70], Operations: ['70-18=52', '86-16=70']
Exploring Operation: 52*70=3640, Resulting Numbers: [3640]
3640,51 unequal: No Solution
Exploring Operation: 70-52=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 52+70=122, Resulting Numbers: [122]
122,51 unequal: No Solution
Moving to Node #0,1,3
Current State: 51:[86, 36], Operations: ['70-18=52', '52-16=36']
Exploring Operation: 86+36=122, Resulting Numbers: [122]
122,51 unequal: No Solution
Exploring Operation: 86*36=3096, Resulting Numbers: [3096]
3096,51 unequal: No Solution
Exploring Operation: 86-36=50, Resulting Numbers: [50]
50,51 unequal: No Solution
Moving to Node #0,1,1
Current State: 51:[52, 102], Operations: ['70-18=52', '86+16=102']
Exploring Operation: 102-52=50, Resulting Numbers: [50]
50,51 unequal: No Solution
Exploring Operation: 52*102=5304, Resulting Numbers: [5304]
5304,51 unequal: No Solution
Exploring Operation: 52+102=154, Resulting Numbers: [154]
154,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[16, 70, 68], Operations: ['86-18=68']
Exploring Operation: 70-68=2, Resulting Numbers: [16, 2]
Generated Node #0,2,0: 51:[16, 2] Operation: 70-68=2
Exploring Operation: 68-16=52, Resulting Numbers: [70, 52]
Generated Node #0,2,1: 51:[70, 52] Operation: 68-16=52
Exploring Operation: 16+70=86, Resulting Numbers: [68, 86]
Generated Node #0,2,2: 51:[68, 86] Operation: 16+70=86
Exploring Operation: 70-16=54, Resulting Numbers: [68, 54]
Generated Node #0,2,3: 51:[68, 54] Operation: 70-16=54
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 51:[16, 2], Operations: ['86-18=68', '70-68=2']
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 51:[70, 52], Operations: ['86-18=68', '68-16=52']
Exploring Operation: 70-52=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 70*52=3640, Resulting Numbers: [3640]
3640,51 unequal: No Solution
Exploring Operation: 70+52=122, Resulting Numbers: [122]
122,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 51:[68, 54], Operations: ['86-18=68', '70-16=54']
Exploring Operation: 68*54=3672, Resulting Numbers: [3672]
3672,51 unequal: No Solution
Exploring Operation: 68-54=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Exploring Operation: 68+54=122, Resulting Numbers: [122]
122,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 51:[68, 86], Operations: ['86-18=68', '16+70=86']
Exploring Operation: 68*86=5848, Resulting Numbers: [5848]
5848,51 unequal: No Solution
Exploring Operation: 86-68=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 68+86=154, Resulting Numbers: [154]
154,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 51:[18, 70, 70], Operations: ['86-16=70']
Exploring Operation: 70-18=52, Resulting Numbers: [70, 52]
Generated Node #0,3,0: 51:[70, 52] Operation: 70-18=52
Exploring Operation: 70-70=0, Resulting Numbers: [18, 0]
Generated Node #0,3,1: 51:[18, 0] Operation: 70-70=0
Exploring Operation: 70-18=52, Resulting Numbers: [70, 52]
Generated Node #0,3,2: 51:[70, 52] Operation: 70-18=52
Exploring Operation: 70/70=1, Resulting Numbers: [18, 1]
Generated Node #0,3,3: 51:[18, 1] Operation: 70/70=1
Moving to Node #0,3,3
Current State: 51:[18, 1], Operations: ['86-16=70', '70/70=1']
Exploring Operation: 18+1=19, Resulting Numbers: [19]
19,51 unequal: No Solution
Exploring Operation: 18/1=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,51 unequal: No Solution
Moving to Node #0,3,1
Current State: 51:[18, 0], Operations: ['86-16=70', '70-70=0']
Exploring Operation: 18-0=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 18+0=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 18*0=0, Resulting Numbers: [0]
0,51 unequal: No Solution
Moving to Node #0,3,2
Current State: 51:[70, 52], Operations: ['86-16=70', '70-18=52']
Exploring Operation: 70*52=3640, Resulting Numbers: [3640]
3640,51 unequal: No Solution
Exploring Operation: 70-52=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 70+52=122, Resulting Numbers: [122]
122,51 unequal: No Solution
Moving to Node #0,3,0
Current State: 51:[70, 52], Operations: ['86-16=70', '70-18=52']
Exploring Operation: 70+52=122, Resulting Numbers: [122]
122,51 unequal: No Solution
Exploring Operation: 70-52=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 70*52=3640, Resulting Numbers: [3640]
3640,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
54,
64,
71,
89
] | 61 | [
"89-71=18",
"54/18=3",
"64-3=61"
] | Current State: 61:[54, 64, 71, 89], Operations: []
Exploring Operation: 89-71=18, Resulting Numbers: [54, 64, 18]
Generated Node #2: [54, 64, 18] from Operation: 89-71=18
Current State: 61:[54, 64, 18], Operations: ['89-71=18']
Exploring Operation: 54/18=3, Resulting Numbers: [64, 3]
Generated Node #3: [64, 3] from Operation: 54/18=3
Current State: 61:[64, 3], Operations: ['89-71=18', '54/18=3']
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[54, 64, 71, 89], Operations: []
Exploring Operation: 89-54=35, Resulting Numbers: [64, 71, 35]
Generated Node #0,0: 61:[64, 71, 35] Operation: 89-54=35
Moving to Node #0,0
Current State: 61:[64, 71, 35], Operations: ['89-54=35']
Exploring Operation: 71-35=36, Resulting Numbers: [64, 36]
Generated Node #0,0,0: 61:[64, 36] Operation: 71-35=36
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 61:[64, 36], Operations: ['89-54=35', '71-35=36']
Exploring Operation: 64-36=28, Resulting Numbers: [28]
28,61 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 |
[
23,
87,
63,
29
] | 29 | [
"87-23=64",
"64-63=1",
"29*1=29"
] | Current State: 29:[23, 87, 63, 29], Operations: []
Exploring Operation: 87-23=64, Resulting Numbers: [63, 29, 64]
Generated Node #2: [63, 29, 64] from Operation: 87-23=64
Current State: 29:[63, 29, 64], Operations: ['87-23=64']
Exploring Operation: 64-63=1, Resulting Numbers: [29, 1]
Generated Node #3: [29, 1] from Operation: 64-63=1
Current State: 29:[29, 1], Operations: ['87-23=64', '64-63=1']
Exploring Operation: 29*1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[23, 87, 63, 29], Operations: []
Exploring Operation: 87-63=24, Resulting Numbers: [23, 29, 24]
Generated Node #0,0: 29:[23, 29, 24] Operation: 87-63=24
Exploring Operation: 87/29=3, Resulting Numbers: [23, 63, 3]
Generated Node #0,1: 29:[23, 63, 3] Operation: 87/29=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[23, 29, 24], Operations: ['87-63=24']
Exploring Operation: 23+24=47, Resulting Numbers: [29, 47]
Generated Node #0,0,0: 29:[29, 47] Operation: 23+24=47
Exploring Operation: 23+29=52, Resulting Numbers: [24, 52]
Generated Node #0,0,1: 29:[24, 52] Operation: 23+29=52
Moving to Node #0,0,0
Current State: 29:[29, 47], Operations: ['87-63=24', '23+24=47']
Exploring Operation: 47-29=18, Resulting Numbers: [18]
18,29 unequal: No Solution
Exploring Operation: 29+47=76, Resulting Numbers: [76]
76,29 unequal: No Solution
Moving to Node #0,0,1
Current State: 29:[24, 52], Operations: ['87-63=24', '23+29=52']
Exploring Operation: 24+52=76, Resulting Numbers: [76]
76,29 unequal: No Solution
Exploring Operation: 52-24=28, Resulting Numbers: [28]
28,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 29:[23, 63, 3], Operations: ['87/29=3']
Exploring Operation: 63/3=21, Resulting Numbers: [23, 21]
Generated Node #0,1,0: 29:[23, 21] Operation: 63/3=21
Exploring Operation: 63-23=40, Resulting Numbers: [3, 40]
Generated Node #0,1,1: 29:[3, 40] Operation: 63-23=40
Moving to Node #0,1,0
Current State: 29:[23, 21], Operations: ['87/29=3', '63/3=21']
Exploring Operation: 23-21=2, Resulting Numbers: [2]
2,29 unequal: No Solution
Exploring Operation: 23+21=44, Resulting Numbers: [44]
44,29 unequal: No Solution
Moving to Node #0,1,1
Current State: 29:[3, 40], Operations: ['87/29=3', '63-23=40']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,29 unequal: No Solution
Exploring Operation: 3+40=43, Resulting Numbers: [43]
43,29 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 |
[
14,
16,
2,
41
] | 19 | [
"14+16=30",
"2*30=60",
"60-41=19"
] | Current State: 19:[14, 16, 2, 41], Operations: []
Exploring Operation: 14+16=30, Resulting Numbers: [2, 41, 30]
Generated Node #2: [2, 41, 30] from Operation: 14+16=30
Current State: 19:[2, 41, 30], Operations: ['14+16=30']
Exploring Operation: 2*30=60, Resulting Numbers: [41, 60]
Generated Node #3: [41, 60] from Operation: 2*30=60
Current State: 19:[41, 60], Operations: ['14+16=30', '2*30=60']
Exploring Operation: 60-41=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[14, 16, 2, 41], Operations: []
Exploring Operation: 41-14=27, Resulting Numbers: [16, 2, 27]
Generated Node #0,0: 19:[16, 2, 27] Operation: 41-14=27
Exploring Operation: 14+2=16, Resulting Numbers: [16, 41, 16]
Generated Node #0,1: 19:[16, 41, 16] Operation: 14+2=16
Exploring Operation: 16+2=18, Resulting Numbers: [14, 41, 18]
Generated Node #0,2: 19:[14, 41, 18] Operation: 16+2=18
Moving to Node #0,0
Current State: 19:[16, 2, 27], Operations: ['41-14=27']
Exploring Operation: 27-2=25, Resulting Numbers: [16, 25]
Generated Node #0,0,0: 19:[16, 25] Operation: 27-2=25
Exploring Operation: 16+2=18, Resulting Numbers: [27, 18]
Generated Node #0,0,1: 19:[27, 18] Operation: 16+2=18
Exploring Operation: 16-2=14, Resulting Numbers: [27, 14]
Generated Node #0,0,2: 19:[27, 14] Operation: 16-2=14
Moving to Node #0,1
Current State: 19:[16, 41, 16], Operations: ['14+2=16']
Exploring Operation: 41-16=25, Resulting Numbers: [16, 25]
Generated Node #0,1,0: 19:[16, 25] Operation: 41-16=25
Exploring Operation: 41-16=25, Resulting Numbers: [16, 25]
Generated Node #0,1,1: 19:[16, 25] Operation: 41-16=25
Exploring Operation: 16+16=32, Resulting Numbers: [41, 32]
Generated Node #0,1,2: 19:[41, 32] Operation: 16+16=32
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 19:[16, 25], Operations: ['14+2=16', '41-16=25']
Exploring Operation: 16+25=41, Resulting Numbers: [41]
41,19 unequal: No Solution
Exploring Operation: 16*25=400, Resulting Numbers: [400]
400,19 unequal: No Solution
Exploring Operation: 25-16=9, Resulting Numbers: [9]
9,19 unequal: No Solution
No 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: 19:[16, 25], Operations: ['14+2=16', '41-16=25']
Exploring Operation: 16*25=400, Resulting Numbers: [400]
400,19 unequal: No Solution
Exploring Operation: 16+25=41, Resulting Numbers: [41]
41,19 unequal: No Solution
Exploring Operation: 25-16=9, Resulting Numbers: [9]
9,19 unequal: No Solution
No 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: 19:[41, 32], Operations: ['14+2=16', '16+16=32']
Exploring Operation: 41*32=1312, Resulting Numbers: [1312]
1312,19 unequal: No Solution
Exploring Operation: 41+32=73, Resulting Numbers: [73]
73,19 unequal: No Solution
Exploring Operation: 41-32=9, Resulting Numbers: [9]
9,19 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: 19:[14, 41, 18], Operations: ['16+2=18']
Exploring Operation: 14+18=32, Resulting Numbers: [41, 32]
Generated Node #0,2,0: 19:[41, 32] Operation: 14+18=32
Exploring Operation: 41-18=23, Resulting Numbers: [14, 23]
Generated Node #0,2,1: 19:[14, 23] Operation: 41-18=23
Exploring Operation: 41-14=27, Resulting Numbers: [18, 27]
Generated Node #0,2,2: 19:[18, 27] Operation: 41-14=27
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 19:[14, 23], Operations: ['16+2=18', '41-18=23']
Exploring Operation: 14+23=37, Resulting Numbers: [37]
37,19 unequal: No Solution
Exploring Operation: 14*23=322, Resulting Numbers: [322]
322,19 unequal: No Solution
Exploring Operation: 23-14=9, Resulting Numbers: [9]
9,19 unequal: No Solution
No 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: 19:[18, 27], Operations: ['16+2=18', '41-14=27']
Exploring Operation: 27-18=9, Resulting Numbers: [9]
9,19 unequal: No Solution
Exploring Operation: 18+27=45, Resulting Numbers: [45]
45,19 unequal: No Solution
Exploring Operation: 18*27=486, Resulting Numbers: [486]
486,19 unequal: No Solution
No 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: 19:[41, 32], Operations: ['16+2=18', '14+18=32']
Exploring Operation: 41*32=1312, Resulting Numbers: [1312]
1312,19 unequal: No Solution
Exploring Operation: 41-32=9, Resulting Numbers: [9]
9,19 unequal: No Solution
Exploring Operation: 41+32=73, Resulting Numbers: [73]
73,19 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: 19:[16, 25], Operations: ['41-14=27', '27-2=25']
Exploring Operation: 16*25=400, Resulting Numbers: [400]
400,19 unequal: No Solution
Exploring Operation: 16+25=41, Resulting Numbers: [41]
41,19 unequal: No Solution
Exploring Operation: 25-16=9, Resulting Numbers: [9]
9,19 unequal: No Solution
Moving to Node #0,0,1
Current State: 19:[27, 18], Operations: ['41-14=27', '16+2=18']
Exploring Operation: 27+18=45, Resulting Numbers: [45]
45,19 unequal: No Solution
Exploring Operation: 27*18=486, Resulting Numbers: [486]
486,19 unequal: No Solution
Exploring Operation: 27-18=9, Resulting Numbers: [9]
9,19 unequal: No Solution
Moving to Node #0,0,2
Current State: 19:[27, 14], Operations: ['41-14=27', '16-2=14']
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,19 unequal: No Solution
Exploring Operation: 27*14=378, Resulting Numbers: [378]
378,19 unequal: No Solution
Exploring Operation: 27+14=41, Resulting Numbers: [41]
41,19 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
83,
8,
64,
52
] | 13 | [
"64-52=12",
"8*12=96",
"96-83=13"
] | Current State: 13:[83, 8, 64, 52], Operations: []
Exploring Operation: 64-52=12, Resulting Numbers: [83, 8, 12]
Generated Node #2: [83, 8, 12] from Operation: 64-52=12
Current State: 13:[83, 8, 12], Operations: ['64-52=12']
Exploring Operation: 8*12=96, Resulting Numbers: [83, 96]
Generated Node #3: [83, 96] from Operation: 8*12=96
Current State: 13:[83, 96], Operations: ['64-52=12', '8*12=96']
Exploring Operation: 96-83=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[83, 8, 64, 52], Operations: []
Exploring Operation: 83-64=19, Resulting Numbers: [8, 52, 19]
Generated Node #0,0: 13:[8, 52, 19] Operation: 83-64=19
Exploring Operation: 64-52=12, Resulting Numbers: [83, 8, 12]
Generated Node #0,1: 13:[83, 8, 12] Operation: 64-52=12
Exploring Operation: 83-52=31, Resulting Numbers: [8, 64, 31]
Generated Node #0,2: 13:[8, 64, 31] Operation: 83-52=31
Exploring Operation: 64/8=8, Resulting Numbers: [83, 52, 8]
Generated Node #0,3: 13:[83, 52, 8] Operation: 64/8=8
Moving to Node #0,0
Current State: 13:[8, 52, 19], Operations: ['83-64=19']
Exploring Operation: 52-8=44, Resulting Numbers: [19, 44]
Generated Node #0,0,0: 13:[19, 44] Operation: 52-8=44
Exploring Operation: 52-19=33, Resulting Numbers: [8, 33]
Generated Node #0,0,1: 13:[8, 33] Operation: 52-19=33
Exploring Operation: 19-8=11, Resulting Numbers: [52, 11]
Generated Node #0,0,2: 13:[52, 11] Operation: 19-8=11
Exploring Operation: 8+52=60, Resulting Numbers: [19, 60]
Generated Node #0,0,3: 13:[19, 60] Operation: 8+52=60
Moving to Node #0,2
Current State: 13:[8, 64, 31], Operations: ['83-52=31']
Exploring Operation: 64-8=56, Resulting Numbers: [31, 56]
Generated Node #0,2,0: 13:[31, 56] Operation: 64-8=56
Exploring Operation: 64/8=8, Resulting Numbers: [31, 8]
Generated Node #0,2,1: 13:[31, 8] Operation: 64/8=8
Exploring Operation: 64-31=33, Resulting Numbers: [8, 33]
Generated Node #0,2,2: 13:[8, 33] Operation: 64-31=33
Exploring Operation: 31-8=23, Resulting Numbers: [64, 23]
Generated Node #0,2,3: 13:[64, 23] Operation: 31-8=23
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 13:[31, 8], Operations: ['83-52=31', '64/8=8']
Exploring Operation: 31+8=39, Resulting Numbers: [39]
39,13 unequal: No Solution
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,13 unequal: No Solution
Exploring Operation: 31*8=248, Resulting Numbers: [248]
248,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 13:[8, 33], Operations: ['83-52=31', '64-31=33']
Exploring Operation: 8+33=41, Resulting Numbers: [41]
41,13 unequal: No Solution
Exploring Operation: 8*33=264, Resulting Numbers: [264]
264,13 unequal: No Solution
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 13:[31, 56], Operations: ['83-52=31', '64-8=56']
Exploring Operation: 56-31=25, Resulting Numbers: [25]
25,13 unequal: No Solution
Exploring Operation: 31*56=1736, Resulting Numbers: [1736]
1736,13 unequal: No Solution
Exploring Operation: 31+56=87, Resulting Numbers: [87]
87,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 13:[64, 23], Operations: ['83-52=31', '31-8=23']
Exploring Operation: 64-23=41, Resulting Numbers: [41]
41,13 unequal: No Solution
Exploring Operation: 64*23=1472, Resulting Numbers: [1472]
1472,13 unequal: No Solution
Exploring Operation: 64+23=87, Resulting Numbers: [87]
87,13 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: 13:[83, 8, 12], Operations: ['64-52=12']
Exploring Operation: 83-8=75, Resulting Numbers: [12, 75]
Generated Node #0,1,0: 13:[12, 75] Operation: 83-8=75
Exploring Operation: 83-12=71, Resulting Numbers: [8, 71]
Generated Node #0,1,1: 13:[8, 71] Operation: 83-12=71
Exploring Operation: 8+12=20, Resulting Numbers: [83, 20]
Generated Node #0,1,2: 13:[83, 20] Operation: 8+12=20
Exploring Operation: 83+8=91, Resulting Numbers: [12, 91]
Generated Node #0,1,3: 13:[12, 91] Operation: 83+8=91
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 13:[12, 75], Operations: ['64-52=12', '83-8=75']
Exploring Operation: 12+75=87, Resulting Numbers: [87]
87,13 unequal: No Solution
Exploring Operation: 12*75=900, Resulting Numbers: [900]
900,13 unequal: No Solution
Exploring Operation: 75-12=63, Resulting Numbers: [63]
63,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 13:[8, 71], Operations: ['64-52=12', '83-12=71']
Exploring Operation: 8+71=79, Resulting Numbers: [79]
79,13 unequal: No Solution
Exploring Operation: 8*71=568, Resulting Numbers: [568]
568,13 unequal: No Solution
Exploring Operation: 71-8=63, Resulting Numbers: [63]
63,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 13:[83, 20], Operations: ['64-52=12', '8+12=20']
Exploring Operation: 83+20=103, Resulting Numbers: [103]
103,13 unequal: No Solution
Exploring Operation: 83*20=1660, Resulting Numbers: [1660]
1660,13 unequal: No Solution
Exploring Operation: 83-20=63, Resulting Numbers: [63]
63,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 13:[12, 91], Operations: ['64-52=12', '83+8=91']
Exploring Operation: 91-12=79, Resulting Numbers: [79]
79,13 unequal: No Solution
Exploring Operation: 12*91=1092, Resulting Numbers: [1092]
1092,13 unequal: No Solution
Exploring Operation: 12+91=103, Resulting Numbers: [103]
103,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 13:[83, 52, 8], Operations: ['64/8=8']
Exploring Operation: 83-52=31, Resulting Numbers: [8, 31]
Generated Node #0,3,0: 13:[8, 31] Operation: 83-52=31
Exploring Operation: 83-8=75, Resulting Numbers: [52, 75]
Generated Node #0,3,1: 13:[52, 75] Operation: 83-8=75
Exploring Operation: 83+8=91, Resulting Numbers: [52, 91]
Generated Node #0,3,2: 13:[52, 91] Operation: 83+8=91
Exploring Operation: 52-8=44, Resulting Numbers: [83, 44]
Generated Node #0,3,3: 13:[83, 44] Operation: 52-8=44
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 13:[8, 31], Operations: ['64/8=8', '83-52=31']
Exploring Operation: 8+31=39, Resulting Numbers: [39]
39,13 unequal: No Solution
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,13 unequal: No Solution
Exploring Operation: 8*31=248, Resulting Numbers: [248]
248,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 13:[52, 75], Operations: ['64/8=8', '83-8=75']
Exploring Operation: 75-52=23, Resulting Numbers: [23]
23,13 unequal: No Solution
Exploring Operation: 52+75=127, Resulting Numbers: [127]
127,13 unequal: No Solution
Exploring Operation: 52*75=3900, Resulting Numbers: [3900]
3900,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 13:[83, 44], Operations: ['64/8=8', '52-8=44']
Exploring Operation: 83*44=3652, Resulting Numbers: [3652]
3652,13 unequal: No Solution
Exploring Operation: 83+44=127, Resulting Numbers: [127]
127,13 unequal: No Solution
Exploring Operation: 83-44=39, Resulting Numbers: [39]
39,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 13:[52, 91], Operations: ['64/8=8', '83+8=91']
Exploring Operation: 52+91=143, Resulting Numbers: [143]
143,13 unequal: No Solution
Exploring Operation: 52*91=4732, Resulting Numbers: [4732]
4732,13 unequal: No Solution
Exploring Operation: 91-52=39, Resulting Numbers: [39]
39,13 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: 13:[8, 33], Operations: ['83-64=19', '52-19=33']
Exploring Operation: 8*33=264, Resulting Numbers: [264]
264,13 unequal: No Solution
Exploring Operation: 8+33=41, Resulting Numbers: [41]
41,13 unequal: No Solution
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,13 unequal: No Solution
Moving to Node #0,0,0
Current State: 13:[19, 44], Operations: ['83-64=19', '52-8=44']
Exploring Operation: 19+44=63, Resulting Numbers: [63]
63,13 unequal: No Solution
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,13 unequal: No Solution
Exploring Operation: 19*44=836, Resulting Numbers: [836]
836,13 unequal: No Solution
Moving to Node #0,0,2
Current State: 13:[52, 11], Operations: ['83-64=19', '19-8=11']
Exploring Operation: 52+11=63, Resulting Numbers: [63]
63,13 unequal: No Solution
Exploring Operation: 52*11=572, Resulting Numbers: [572]
572,13 unequal: No Solution
Exploring Operation: 52-11=41, Resulting Numbers: [41]
41,13 unequal: No Solution
Moving to Node #0,0,3
Current State: 13:[19, 60], Operations: ['83-64=19', '8+52=60']
Exploring Operation: 19*60=1140, Resulting Numbers: [1140]
1140,13 unequal: No Solution
Exploring Operation: 60-19=41, Resulting Numbers: [41]
41,13 unequal: No Solution
Exploring Operation: 19+60=79, Resulting Numbers: [79]
79,13 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
1,
89,
87,
45
] | 42 | [
"1+89=90",
"87+45=132",
"132-90=42"
] | Current State: 42:[1, 89, 87, 45], Operations: []
Exploring Operation: 1+89=90, Resulting Numbers: [87, 45, 90]
Generated Node #2: [87, 45, 90] from Operation: 1+89=90
Current State: 42:[87, 45, 90], Operations: ['1+89=90']
Exploring Operation: 87+45=132, Resulting Numbers: [90, 132]
Generated Node #3: [90, 132] from Operation: 87+45=132
Current State: 42:[90, 132], Operations: ['1+89=90', '87+45=132']
Exploring Operation: 132-90=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[1, 89, 87, 45], Operations: []
Exploring Operation: 89-45=44, Resulting Numbers: [1, 87, 44]
Generated Node #0,0: 42:[1, 87, 44] Operation: 89-45=44
Exploring Operation: 87-45=42, Resulting Numbers: [1, 89, 42]
Generated Node #0,1: 42:[1, 89, 42] Operation: 87-45=42
Exploring Operation: 89-87=2, Resulting Numbers: [1, 45, 2]
Generated Node #0,2: 42:[1, 45, 2] Operation: 89-87=2
Start Sub Search at level 1: Moving to Node #0,2
Current State: 42:[1, 45, 2], Operations: ['89-87=2']
Exploring Operation: 45-1=44, Resulting Numbers: [2, 44]
Generated Node #0,2,0: 42:[2, 44] Operation: 45-1=44
Exploring Operation: 1*45=45, Resulting Numbers: [2, 45]
Generated Node #0,2,1: 42:[2, 45] Operation: 1*45=45
Exploring Operation: 45-2=43, Resulting Numbers: [1, 43]
Generated Node #0,2,2: 42:[1, 43] Operation: 45-2=43
Moving to Node #0,2,0
Current State: 42:[2, 44], Operations: ['89-87=2', '45-1=44']
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,42 unequal: No Solution
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[1, 89, 87, 45], Operations: []
Exploring Operation: 89-87=2, Resulting Numbers: [1, 45, 2]
Generated Node #0,2: 42:[1, 45, 2] Operation: 89-87=2
Moving to Node #0,2
Current State: 42:[1, 45, 2], Operations: ['89-87=2']
Exploring Operation: 45-1=44, Resulting Numbers: [2, 44]
Generated Node #0,2,0: 42:[2, 44] Operation: 45-1=44
Moving to Node #0,2,0
Current State: 42:[2, 44], Operations: ['89-87=2', '45-1=44']
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
5,
68,
79,
32
] | 16 | [
"68-5=63",
"79-32=47",
"63-47=16"
] | Current State: 16:[5, 68, 79, 32], Operations: []
Exploring Operation: 68-5=63, Resulting Numbers: [79, 32, 63]
Generated Node #2: [79, 32, 63] from Operation: 68-5=63
Current State: 16:[79, 32, 63], Operations: ['68-5=63']
Exploring Operation: 79-32=47, Resulting Numbers: [63, 47]
Generated Node #3: [63, 47] from Operation: 79-32=47
Current State: 16:[63, 47], Operations: ['68-5=63', '79-32=47']
Exploring Operation: 63-47=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[5, 68, 79, 32], Operations: []
Exploring Operation: 68-32=36, Resulting Numbers: [5, 79, 36]
Generated Node #0,0: 16:[5, 79, 36] Operation: 68-32=36
Exploring Operation: 79-68=11, Resulting Numbers: [5, 32, 11]
Generated Node #0,1: 16:[5, 32, 11] Operation: 79-68=11
Moving to Node #0,1
Current State: 16:[5, 32, 11], Operations: ['79-68=11']
Exploring Operation: 32-11=21, Resulting Numbers: [5, 21]
Generated Node #0,1,0: 16:[5, 21] Operation: 32-11=21
Exploring Operation: 32-5=27, Resulting Numbers: [11, 27]
Generated Node #0,1,1: 16:[11, 27] Operation: 32-5=27
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 16:[5, 21], Operations: ['79-68=11', '32-11=21']
Exploring Operation: 5+21=26, Resulting Numbers: [26]
26,16 unequal: No Solution
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[5, 68, 79, 32], Operations: []
Exploring Operation: 79-68=11, Resulting Numbers: [5, 32, 11]
Generated Node #0,1: 16:[5, 32, 11] Operation: 79-68=11
Moving to Node #0,1
Current State: 16:[5, 32, 11], Operations: ['79-68=11']
Exploring Operation: 32-11=21, Resulting Numbers: [5, 21]
Generated Node #0,1,0: 16:[5, 21] Operation: 32-11=21
Moving to Node #0,1,0
Current State: 16:[5, 21], Operations: ['79-68=11', '32-11=21']
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
41,
38,
82,
56
] | 74 | [
"82/41=2",
"56*2=112",
"112-38=74"
] | Current State: 74:[41, 38, 82, 56], Operations: []
Exploring Operation: 82/41=2, Resulting Numbers: [38, 56, 2]
Generated Node #2: [38, 56, 2] from Operation: 82/41=2
Current State: 74:[38, 56, 2], Operations: ['82/41=2']
Exploring Operation: 56*2=112, Resulting Numbers: [38, 112]
Generated Node #3: [38, 112] from Operation: 56*2=112
Current State: 74:[38, 112], Operations: ['82/41=2', '56*2=112']
Exploring Operation: 112-38=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[41, 38, 82, 56], Operations: []
Exploring Operation: 82/41=2, Resulting Numbers: [38, 56, 2]
Generated Node #0,0: 74:[38, 56, 2] Operation: 82/41=2
Exploring Operation: 56-41=15, Resulting Numbers: [38, 82, 15]
Generated Node #0,1: 74:[38, 82, 15] Operation: 56-41=15
Exploring Operation: 82-56=26, Resulting Numbers: [41, 38, 26]
Generated Node #0,2: 74:[41, 38, 26] Operation: 82-56=26
Start Sub Search at level 1: Moving to Node #0,2
Current State: 74:[41, 38, 26], Operations: ['82-56=26']
Exploring Operation: 41-38=3, Resulting Numbers: [26, 3]
Generated Node #0,2,0: 74:[26, 3] Operation: 41-38=3
Exploring Operation: 41+26=67, Resulting Numbers: [38, 67]
Generated Node #0,2,1: 74:[38, 67] Operation: 41+26=67
Exploring Operation: 41-26=15, Resulting Numbers: [38, 15]
Generated Node #0,2,2: 74:[38, 15] Operation: 41-26=15
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 74:[38, 67], Operations: ['82-56=26', '41+26=67']
Exploring Operation: 38+67=105, Resulting Numbers: [105]
105,74 unequal: No Solution
Exploring Operation: 38*67=2546, Resulting Numbers: [2546]
2546,74 unequal: No Solution
Exploring Operation: 67-38=29, Resulting Numbers: [29]
29,74 unequal: No Solution
No 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: 74:[26, 3], Operations: ['82-56=26', '41-38=3']
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,74 unequal: No Solution
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,74 unequal: No Solution
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,74 unequal: No Solution
No 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: 74:[38, 15], Operations: ['82-56=26', '41-26=15']
Exploring Operation: 38+15=53, Resulting Numbers: [53]
53,74 unequal: No Solution
Exploring Operation: 38-15=23, Resulting Numbers: [23]
23,74 unequal: No Solution
Exploring Operation: 38*15=570, Resulting Numbers: [570]
570,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[38, 56, 2], Operations: ['82/41=2']
Exploring Operation: 56+2=58, Resulting Numbers: [38, 58]
Generated Node #0,0,0: 74:[38, 58] Operation: 56+2=58
Exploring Operation: 56/2=28, Resulting Numbers: [38, 28]
Generated Node #0,0,1: 74:[38, 28] Operation: 56/2=28
Exploring Operation: 56-38=18, Resulting Numbers: [2, 18]
Generated Node #0,0,2: 74:[2, 18] Operation: 56-38=18
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 74:[38, 28], Operations: ['82/41=2', '56/2=28']
Exploring Operation: 38-28=10, Resulting Numbers: [10]
10,74 unequal: No Solution
Exploring Operation: 38*28=1064, Resulting Numbers: [1064]
1064,74 unequal: No Solution
Exploring Operation: 38+28=66, Resulting Numbers: [66]
66,74 unequal: No Solution
No 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: 74:[2, 18], Operations: ['82/41=2', '56-38=18']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,74 unequal: No Solution
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,74 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,74 unequal: No Solution
No 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: 74:[38, 58], Operations: ['82/41=2', '56+2=58']
Exploring Operation: 38*58=2204, Resulting Numbers: [2204]
2204,74 unequal: No Solution
Exploring Operation: 38+58=96, Resulting Numbers: [96]
96,74 unequal: No Solution
Exploring Operation: 58-38=20, Resulting Numbers: [20]
20,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[38, 82, 15], Operations: ['56-41=15']
Exploring Operation: 82-15=67, Resulting Numbers: [38, 67]
Generated Node #0,1,0: 74:[38, 67] Operation: 82-15=67
Exploring Operation: 82-38=44, Resulting Numbers: [15, 44]
Generated Node #0,1,1: 74:[15, 44] Operation: 82-38=44
Exploring Operation: 38-15=23, Resulting Numbers: [82, 23]
Generated Node #0,1,2: 74:[82, 23] Operation: 38-15=23
Moving to Node #0,1,0
Current State: 74:[38, 67], Operations: ['56-41=15', '82-15=67']
Exploring Operation: 38*67=2546, Resulting Numbers: [2546]
2546,74 unequal: No Solution
Exploring Operation: 67-38=29, Resulting Numbers: [29]
29,74 unequal: No Solution
Exploring Operation: 38+67=105, Resulting Numbers: [105]
105,74 unequal: No Solution
Moving to Node #0,1,1
Current State: 74:[15, 44], Operations: ['56-41=15', '82-38=44']
Exploring Operation: 15+44=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Exploring Operation: 44-15=29, Resulting Numbers: [29]
29,74 unequal: No Solution
Exploring Operation: 15*44=660, Resulting Numbers: [660]
660,74 unequal: No Solution
Moving to Node #0,1,2
Current State: 74:[82, 23], Operations: ['56-41=15', '38-15=23']
Exploring Operation: 82+23=105, Resulting Numbers: [105]
105,74 unequal: No Solution
Exploring Operation: 82-23=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Exploring Operation: 82*23=1886, Resulting Numbers: [1886]
1886,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
11,
94,
77,
55
] | 22 | [
"55/11=5",
"94-77=17",
"5+17=22"
] | Current State: 22:[11, 94, 77, 55], Operations: []
Exploring Operation: 55/11=5, Resulting Numbers: [94, 77, 5]
Generated Node #2: [94, 77, 5] from Operation: 55/11=5
Current State: 22:[94, 77, 5], Operations: ['55/11=5']
Exploring Operation: 94-77=17, Resulting Numbers: [5, 17]
Generated Node #3: [5, 17] from Operation: 94-77=17
Current State: 22:[5, 17], Operations: ['55/11=5', '94-77=17']
Exploring Operation: 5+17=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[11, 94, 77, 55], Operations: []
Exploring Operation: 94-77=17, Resulting Numbers: [11, 55, 17]
Generated Node #0,0: 22:[11, 55, 17] Operation: 94-77=17
Moving to Node #0,0
Current State: 22:[11, 55, 17], Operations: ['94-77=17']
Exploring Operation: 55/11=5, Resulting Numbers: [17, 5]
Generated Node #0,0,0: 22:[17, 5] Operation: 55/11=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 22:[17, 5], Operations: ['94-77=17', '55/11=5']
Exploring Operation: 17+5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[11, 94, 77, 55], Operations: []
Exploring Operation: 94-77=17, Resulting Numbers: [11, 55, 17]
Generated Node #0,0: 22:[11, 55, 17] Operation: 94-77=17
Moving to Node #0,0
Current State: 22:[11, 55, 17], Operations: ['94-77=17']
Exploring Operation: 55/11=5, Resulting Numbers: [17, 5]
Generated Node #0,0,0: 22:[17, 5] Operation: 55/11=5
Moving to Node #0,0,0
Current State: 22:[17, 5], Operations: ['94-77=17', '55/11=5']
Exploring Operation: 17+5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
1,
19,
20,
69
] | 70 | [
"1+19=20",
"20/20=1",
"69+1=70"
] | Current State: 70:[1, 19, 20, 69], Operations: []
Exploring Operation: 1+19=20, Resulting Numbers: [20, 69, 20]
Generated Node #2: [20, 69, 20] from Operation: 1+19=20
Current State: 70:[20, 69, 20], Operations: ['1+19=20']
Exploring Operation: 20/20=1, Resulting Numbers: [69, 1]
Generated Node #3: [69, 1] from Operation: 20/20=1
Current State: 70:[69, 1], Operations: ['1+19=20', '20/20=1']
Exploring Operation: 69+1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[1, 19, 20, 69], Operations: []
Exploring Operation: 20-19=1, Resulting Numbers: [1, 69, 1]
Generated Node #0,0: 70:[1, 69, 1] Operation: 20-19=1
Moving to Node #0,0
Current State: 70:[1, 69, 1], Operations: ['20-19=1']
Exploring Operation: 1+69=70, Resulting Numbers: [1, 70]
Generated Node #0,0,0: 70:[1, 70] Operation: 1+69=70
Moving to Node #0,0,0
Current State: 70:[1, 70], Operations: ['20-19=1', '1+69=70']
Exploring Operation: 1*70=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[1, 19, 20, 69], Operations: []
Exploring Operation: 20-19=1, Resulting Numbers: [1, 69, 1]
Generated Node #0,0: 70:[1, 69, 1] Operation: 20-19=1
Moving to Node #0,0
Current State: 70:[1, 69, 1], Operations: ['20-19=1']
Exploring Operation: 1+69=70, Resulting Numbers: [1, 70]
Generated Node #0,0,0: 70:[1, 70] Operation: 1+69=70
Moving to Node #0,0,0
Current State: 70:[1, 70], Operations: ['20-19=1', '1+69=70']
Exploring Operation: 1*70=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
11,
17,
61,
49
] | 82 | [
"11+17=28",
"61+49=110",
"110-28=82"
] | Current State: 82:[11, 17, 61, 49], Operations: []
Exploring Operation: 11+17=28, Resulting Numbers: [61, 49, 28]
Generated Node #2: [61, 49, 28] from Operation: 11+17=28
Current State: 82:[61, 49, 28], Operations: ['11+17=28']
Exploring Operation: 61+49=110, Resulting Numbers: [28, 110]
Generated Node #3: [28, 110] from Operation: 61+49=110
Current State: 82:[28, 110], Operations: ['11+17=28', '61+49=110']
Exploring Operation: 110-28=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[11, 17, 61, 49], Operations: []
Exploring Operation: 61-17=44, Resulting Numbers: [11, 49, 44]
Generated Node #0,0: 82:[11, 49, 44] Operation: 61-17=44
Exploring Operation: 17-11=6, Resulting Numbers: [61, 49, 6]
Generated Node #0,1: 82:[61, 49, 6] Operation: 17-11=6
Exploring Operation: 17+61=78, Resulting Numbers: [11, 49, 78]
Generated Node #0,2: 82:[11, 49, 78] Operation: 17+61=78
Moving to Node #0,0
Current State: 82:[11, 49, 44], Operations: ['61-17=44']
Exploring Operation: 49-44=5, Resulting Numbers: [11, 5]
Generated Node #0,0,0: 82:[11, 5] Operation: 49-44=5
Exploring Operation: 44/11=4, Resulting Numbers: [49, 4]
Generated Node #0,0,1: 82:[49, 4] Operation: 44/11=4
Exploring Operation: 49-11=38, Resulting Numbers: [44, 38]
Generated Node #0,0,2: 82:[44, 38] Operation: 49-11=38
Moving to Node #0,2
Current State: 82:[11, 49, 78], Operations: ['17+61=78']
Exploring Operation: 49-11=38, Resulting Numbers: [78, 38]
Generated Node #0,2,0: 82:[78, 38] Operation: 49-11=38
Exploring Operation: 78-49=29, Resulting Numbers: [11, 29]
Generated Node #0,2,1: 82:[11, 29] Operation: 78-49=29
Exploring Operation: 11+78=89, Resulting Numbers: [49, 89]
Generated Node #0,2,2: 82:[49, 89] Operation: 11+78=89
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 82:[78, 38], Operations: ['17+61=78', '49-11=38']
Exploring Operation: 78*38=2964, Resulting Numbers: [2964]
2964,82 unequal: No Solution
Exploring Operation: 78-38=40, Resulting Numbers: [40]
40,82 unequal: No Solution
Exploring Operation: 78+38=116, Resulting Numbers: [116]
116,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 82:[49, 89], Operations: ['17+61=78', '11+78=89']
Exploring Operation: 49*89=4361, Resulting Numbers: [4361]
4361,82 unequal: No Solution
Exploring Operation: 89-49=40, Resulting Numbers: [40]
40,82 unequal: No Solution
Exploring Operation: 49+89=138, Resulting Numbers: [138]
138,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 82:[11, 29], Operations: ['17+61=78', '78-49=29']
Exploring Operation: 11+29=40, Resulting Numbers: [40]
40,82 unequal: No Solution
Exploring Operation: 11*29=319, Resulting Numbers: [319]
319,82 unequal: No Solution
Exploring Operation: 29-11=18, Resulting Numbers: [18]
18,82 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: 82:[61, 49, 6], Operations: ['17-11=6']
Exploring Operation: 49-6=43, Resulting Numbers: [61, 43]
Generated Node #0,1,0: 82:[61, 43] Operation: 49-6=43
Exploring Operation: 61-49=12, Resulting Numbers: [6, 12]
Generated Node #0,1,1: 82:[6, 12] Operation: 61-49=12
Exploring Operation: 61-6=55, Resulting Numbers: [49, 55]
Generated Node #0,1,2: 82:[49, 55] Operation: 61-6=55
Moving to Node #0,0,2
Current State: 82:[44, 38], Operations: ['61-17=44', '49-11=38']
Exploring Operation: 44*38=1672, Resulting Numbers: [1672]
1672,82 unequal: No Solution
Exploring Operation: 44+38=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[11, 17, 61, 49], Operations: []
Exploring Operation: 61-17=44, Resulting Numbers: [11, 49, 44]
Generated Node #0,0: 82:[11, 49, 44] Operation: 61-17=44
Moving to Node #0,0
Current State: 82:[11, 49, 44], Operations: ['61-17=44']
Exploring Operation: 49-11=38, Resulting Numbers: [44, 38]
Generated Node #0,0,2: 82:[44, 38] Operation: 49-11=38
Moving to Node #0,0,2
Current State: 82:[44, 38], Operations: ['61-17=44', '49-11=38']
Exploring Operation: 44+38=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 0.976563 | hs_3 | mult_heuristic |
[
5,
58,
17,
65
] | 78 | [
"5*17=85",
"65-58=7",
"85-7=78"
] | Current State: 78:[5, 58, 17, 65], Operations: []
Exploring Operation: 5*17=85, Resulting Numbers: [58, 65, 85]
Generated Node #2: [58, 65, 85] from Operation: 5*17=85
Current State: 78:[58, 65, 85], Operations: ['5*17=85']
Exploring Operation: 65-58=7, Resulting Numbers: [85, 7]
Generated Node #3: [85, 7] from Operation: 65-58=7
Current State: 78:[85, 7], Operations: ['5*17=85', '65-58=7']
Exploring Operation: 85-7=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[5, 58, 17, 65], Operations: []
Exploring Operation: 58+17=75, Resulting Numbers: [5, 65, 75]
Generated Node #0,0: 78:[5, 65, 75] Operation: 58+17=75
Exploring Operation: 58-17=41, Resulting Numbers: [5, 65, 41]
Generated Node #0,1: 78:[5, 65, 41] Operation: 58-17=41
Exploring Operation: 65-58=7, Resulting Numbers: [5, 17, 7]
Generated Node #0,2: 78:[5, 17, 7] Operation: 65-58=7
Moving to Node #0,2
Current State: 78:[5, 17, 7], Operations: ['65-58=7']
Exploring Operation: 17+7=24, Resulting Numbers: [5, 24]
Generated Node #0,2,0: 78:[5, 24] Operation: 17+7=24
Exploring Operation: 17-5=12, Resulting Numbers: [7, 12]
Generated Node #0,2,1: 78:[7, 12] Operation: 17-5=12
Exploring Operation: 7-5=2, Resulting Numbers: [17, 2]
Generated Node #0,2,2: 78:[17, 2] Operation: 7-5=2
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 78:[7, 12], Operations: ['65-58=7', '17-5=12']
Exploring Operation: 7+12=19, Resulting Numbers: [19]
19,78 unequal: No Solution
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,78 unequal: No Solution
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 78:[5, 24], Operations: ['65-58=7', '17+7=24']
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,78 unequal: No Solution
Exploring Operation: 5*24=120, Resulting Numbers: [120]
120,78 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 78:[17, 2], Operations: ['65-58=7', '7-5=2']
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,78 unequal: No Solution
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,78 unequal: No Solution
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,78 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: 78:[5, 65, 41], Operations: ['58-17=41']
Exploring Operation: 65-41=24, Resulting Numbers: [5, 24]
Generated Node #0,1,0: 78:[5, 24] Operation: 65-41=24
Exploring Operation: 5+65=70, Resulting Numbers: [41, 70]
Generated Node #0,1,1: 78:[41, 70] Operation: 5+65=70
Exploring Operation: 65/5=13, Resulting Numbers: [41, 13]
Generated Node #0,1,2: 78:[41, 13] Operation: 65/5=13
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 78:[41, 13], Operations: ['58-17=41', '65/5=13']
Exploring Operation: 41-13=28, Resulting Numbers: [28]
28,78 unequal: No Solution
Exploring Operation: 41*13=533, Resulting Numbers: [533]
533,78 unequal: No Solution
Exploring Operation: 41+13=54, Resulting Numbers: [54]
54,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 78:[5, 24], Operations: ['58-17=41', '65-41=24']
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,78 unequal: No Solution
Exploring Operation: 5*24=120, Resulting Numbers: [120]
120,78 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 78:[41, 70], Operations: ['58-17=41', '5+65=70']
Exploring Operation: 41*70=2870, Resulting Numbers: [2870]
2870,78 unequal: No Solution
Exploring Operation: 70-41=29, Resulting Numbers: [29]
29,78 unequal: No Solution
Exploring Operation: 41+70=111, Resulting Numbers: [111]
111,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 78:[5, 65, 75], Operations: ['58+17=75']
Exploring Operation: 65/5=13, Resulting Numbers: [75, 13]
Generated Node #0,0,0: 78:[75, 13] Operation: 65/5=13
Exploring Operation: 5+65=70, Resulting Numbers: [75, 70]
Generated Node #0,0,1: 78:[75, 70] Operation: 5+65=70
Exploring Operation: 75-65=10, Resulting Numbers: [5, 10]
Generated Node #0,0,2: 78:[5, 10] Operation: 75-65=10
Moving to Node #0,0,0
Current State: 78:[75, 13], Operations: ['58+17=75', '65/5=13']
Exploring Operation: 75+13=88, Resulting Numbers: [88]
88,78 unequal: No Solution
Exploring Operation: 75-13=62, Resulting Numbers: [62]
62,78 unequal: No Solution
Exploring Operation: 75*13=975, Resulting Numbers: [975]
975,78 unequal: No Solution
Moving to Node #0,0,2
Current State: 78:[5, 10], Operations: ['58+17=75', '75-65=10']
Exploring Operation: 5+10=15, Resulting Numbers: [15]
15,78 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,78 unequal: No Solution
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,78 unequal: No Solution
Moving to Node #0,0,1
Current State: 78:[75, 70], Operations: ['58+17=75', '5+65=70']
Exploring Operation: 75*70=5250, Resulting Numbers: [5250]
5250,78 unequal: No Solution
Exploring Operation: 75-70=5, Resulting Numbers: [5]
5,78 unequal: No Solution
Exploring Operation: 75+70=145, Resulting Numbers: [145]
145,78 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
61,
78,
52,
44
] | 43 | [
"61+78=139",
"52+44=96",
"139-96=43"
] | Current State: 43:[61, 78, 52, 44], Operations: []
Exploring Operation: 61+78=139, Resulting Numbers: [52, 44, 139]
Generated Node #2: [52, 44, 139] from Operation: 61+78=139
Current State: 43:[52, 44, 139], Operations: ['61+78=139']
Exploring Operation: 52+44=96, Resulting Numbers: [139, 96]
Generated Node #3: [139, 96] from Operation: 52+44=96
Current State: 43:[139, 96], Operations: ['61+78=139', '52+44=96']
Exploring Operation: 139-96=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[61, 78, 52, 44], Operations: []
Exploring Operation: 78-52=26, Resulting Numbers: [61, 44, 26]
Generated Node #0,0: 43:[61, 44, 26] Operation: 78-52=26
Exploring Operation: 61-52=9, Resulting Numbers: [78, 44, 9]
Generated Node #0,1: 43:[78, 44, 9] Operation: 61-52=9
Exploring Operation: 78-61=17, Resulting Numbers: [52, 44, 17]
Generated Node #0,2: 43:[52, 44, 17] Operation: 78-61=17
Exploring Operation: 78-44=34, Resulting Numbers: [61, 52, 34]
Generated Node #0,3: 43:[61, 52, 34] Operation: 78-44=34
Exploring Operation: 61-44=17, Resulting Numbers: [78, 52, 17]
Generated Node #0,4: 43:[78, 52, 17] Operation: 61-44=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[61, 44, 26], Operations: ['78-52=26']
Exploring Operation: 44-26=18, Resulting Numbers: [61, 18]
Generated Node #0,0,0: 43:[61, 18] Operation: 44-26=18
Exploring Operation: 61+26=87, Resulting Numbers: [44, 87]
Generated Node #0,0,1: 43:[44, 87] Operation: 61+26=87
Exploring Operation: 61-26=35, Resulting Numbers: [44, 35]
Generated Node #0,0,2: 43:[44, 35] Operation: 61-26=35
Exploring Operation: 44+26=70, Resulting Numbers: [61, 70]
Generated Node #0,0,3: 43:[61, 70] Operation: 44+26=70
Exploring Operation: 61-44=17, Resulting Numbers: [26, 17]
Generated Node #0,0,4: 43:[26, 17] Operation: 61-44=17
Moving to Node #0,0,2
Current State: 43:[44, 35], Operations: ['78-52=26', '61-26=35']
Exploring Operation: 44*35=1540, Resulting Numbers: [1540]
1540,43 unequal: No Solution
Exploring Operation: 44-35=9, Resulting Numbers: [9]
9,43 unequal: No Solution
Exploring Operation: 44+35=79, Resulting Numbers: [79]
79,43 unequal: No Solution
Moving to Node #0,0,4
Current State: 43:[26, 17], Operations: ['78-52=26', '61-44=17']
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,43 unequal: No Solution
Exploring Operation: 26*17=442, Resulting Numbers: [442]
442,43 unequal: No Solution
Exploring Operation: 26+17=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[61, 78, 52, 44], Operations: []
Exploring Operation: 78-52=26, Resulting Numbers: [61, 44, 26]
Generated Node #0,0: 43:[61, 44, 26] Operation: 78-52=26
Moving to Node #0,0
Current State: 43:[61, 44, 26], Operations: ['78-52=26']
Exploring Operation: 61-44=17, Resulting Numbers: [26, 17]
Generated Node #0,0,4: 43:[26, 17] Operation: 61-44=17
Moving to Node #0,0,4
Current State: 43:[26, 17], Operations: ['78-52=26', '61-44=17']
Exploring Operation: 26+17=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | mult_heuristic |
[
11,
70,
28,
55
] | 11 | [
"28*55=1540",
"1540/70=22",
"22-11=11"
] | Current State: 11:[11, 70, 28, 55], Operations: []
Exploring Operation: 28*55=1540, Resulting Numbers: [11, 70, 1540]
Generated Node #2: [11, 70, 1540] from Operation: 28*55=1540
Current State: 11:[11, 70, 1540], Operations: ['28*55=1540']
Exploring Operation: 1540/70=22, Resulting Numbers: [11, 22]
Generated Node #3: [11, 22] from Operation: 1540/70=22
Current State: 11:[11, 22], Operations: ['28*55=1540', '1540/70=22']
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[11, 70, 28, 55], Operations: []
Exploring Operation: 55-28=27, Resulting Numbers: [11, 70, 27]
Generated Node #0,0: 11:[11, 70, 27] Operation: 55-28=27
Exploring Operation: 70-55=15, Resulting Numbers: [11, 28, 15]
Generated Node #0,1: 11:[11, 28, 15] Operation: 70-55=15
Exploring Operation: 70-28=42, Resulting Numbers: [11, 55, 42]
Generated Node #0,2: 11:[11, 55, 42] Operation: 70-28=42
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[11, 28, 15], Operations: ['70-55=15']
Exploring Operation: 15-11=4, Resulting Numbers: [28, 4]
Generated Node #0,1,0: 11:[28, 4] Operation: 15-11=4
Exploring Operation: 28-11=17, Resulting Numbers: [15, 17]
Generated Node #0,1,1: 11:[15, 17] Operation: 28-11=17
Exploring Operation: 28-15=13, Resulting Numbers: [11, 13]
Generated Node #0,1,2: 11:[11, 13] Operation: 28-15=13
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 11:[11, 13], Operations: ['70-55=15', '28-15=13']
Exploring Operation: 11+13=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Exploring Operation: 11*13=143, Resulting Numbers: [143]
143,11 unequal: No Solution
Exploring Operation: 13-11=2, Resulting Numbers: [2]
2,11 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 #0,1,1
Current State: 11:[15, 17], Operations: ['70-55=15', '28-11=17']
Exploring Operation: 17-15=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 15+17=32, Resulting Numbers: [32]
32,11 unequal: No Solution
Exploring Operation: 15*17=255, Resulting Numbers: [255]
255,11 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 #0,1,0
Current State: 11:[28, 4], Operations: ['70-55=15', '15-11=4']
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,11 unequal: No Solution
Exploring Operation: 28+4=32, Resulting Numbers: [32]
32,11 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 #0,0
Current State: 11:[11, 70, 27], Operations: ['55-28=27']
Exploring Operation: 70-11=59, Resulting Numbers: [27, 59]
Generated Node #0,0,0: 11:[27, 59] Operation: 70-11=59
Exploring Operation: 27-11=16, Resulting Numbers: [70, 16]
Generated Node #0,0,1: 11:[70, 16] Operation: 27-11=16
Exploring Operation: 70-27=43, Resulting Numbers: [11, 43]
Generated Node #0,0,2: 11:[11, 43] Operation: 70-27=43
Moving to Node #0,0,2
Current State: 11:[11, 43], Operations: ['55-28=27', '70-27=43']
Exploring Operation: 43-11=32, Resulting Numbers: [32]
32,11 unequal: No Solution
Exploring Operation: 11*43=473, Resulting Numbers: [473]
473,11 unequal: No Solution
Exploring Operation: 11+43=54, Resulting Numbers: [54]
54,11 unequal: No Solution
Moving to Node #0,0,0
Current State: 11:[27, 59], Operations: ['55-28=27', '70-11=59']
Exploring Operation: 27*59=1593, Resulting Numbers: [1593]
1593,11 unequal: No Solution
Exploring Operation: 27+59=86, Resulting Numbers: [86]
86,11 unequal: No Solution
Exploring Operation: 59-27=32, Resulting Numbers: [32]
32,11 unequal: No Solution
Moving to Node #0,0,1
Current State: 11:[70, 16], Operations: ['55-28=27', '27-11=16']
Exploring Operation: 70+16=86, Resulting Numbers: [86]
86,11 unequal: No Solution
Exploring Operation: 70*16=1120, Resulting Numbers: [1120]
1120,11 unequal: No Solution
Exploring Operation: 70-16=54, Resulting Numbers: [54]
54,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 11:[11, 55, 42], Operations: ['70-28=42']
Exploring Operation: 55/11=5, Resulting Numbers: [42, 5]
Generated Node #0,2,0: 11:[42, 5] Operation: 55/11=5
Exploring Operation: 55-42=13, Resulting Numbers: [11, 13]
Generated Node #0,2,1: 11:[11, 13] Operation: 55-42=13
Exploring Operation: 55-11=44, Resulting Numbers: [42, 44]
Generated Node #0,2,2: 11:[42, 44] Operation: 55-11=44
Moving to Node #0,2,1
Current State: 11:[11, 13], Operations: ['70-28=42', '55-42=13']
Exploring Operation: 13-11=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 11*13=143, Resulting Numbers: [143]
143,11 unequal: No Solution
Exploring Operation: 11+13=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Moving to Node #0,2,0
Current State: 11:[42, 5], Operations: ['70-28=42', '55/11=5']
Exploring Operation: 42+5=47, Resulting Numbers: [47]
47,11 unequal: No Solution
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,11 unequal: No Solution
Exploring Operation: 42*5=210, Resulting Numbers: [210]
210,11 unequal: No Solution
Moving to Node #0,2,2
Current State: 11:[42, 44], Operations: ['70-28=42', '55-11=44']
Exploring Operation: 42*44=1848, Resulting Numbers: [1848]
1848,11 unequal: No Solution
Exploring Operation: 42+44=86, Resulting Numbers: [86]
86,11 unequal: No Solution
Exploring Operation: 44-42=2, Resulting Numbers: [2]
2,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
24,
72,
46,
4
] | 54 | [
"24+72=96",
"46-4=42",
"96-42=54"
] | Current State: 54:[24, 72, 46, 4], Operations: []
Exploring Operation: 24+72=96, Resulting Numbers: [46, 4, 96]
Generated Node #2: [46, 4, 96] from Operation: 24+72=96
Current State: 54:[46, 4, 96], Operations: ['24+72=96']
Exploring Operation: 46-4=42, Resulting Numbers: [96, 42]
Generated Node #3: [96, 42] from Operation: 46-4=42
Current State: 54:[96, 42], Operations: ['24+72=96', '46-4=42']
Exploring Operation: 96-42=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[24, 72, 46, 4], Operations: []
Exploring Operation: 72/24=3, Resulting Numbers: [46, 4, 3]
Generated Node #0,0: 54:[46, 4, 3] Operation: 72/24=3
Exploring Operation: 72-46=26, Resulting Numbers: [24, 4, 26]
Generated Node #0,1: 54:[24, 4, 26] Operation: 72-46=26
Exploring Operation: 72-24=48, Resulting Numbers: [46, 4, 48]
Generated Node #0,2: 54:[46, 4, 48] Operation: 72-24=48
Exploring Operation: 72/4=18, Resulting Numbers: [24, 46, 18]
Generated Node #0,3: 54:[24, 46, 18] Operation: 72/4=18
Start Sub Search at level 1: Moving to Node #0,1
Current State: 54:[24, 4, 26], Operations: ['72-46=26']
Exploring Operation: 24/4=6, Resulting Numbers: [26, 6]
Generated Node #0,1,0: 54:[26, 6] Operation: 24/4=6
Exploring Operation: 24+4=28, Resulting Numbers: [26, 28]
Generated Node #0,1,1: 54:[26, 28] Operation: 24+4=28
Exploring Operation: 24-4=20, Resulting Numbers: [26, 20]
Generated Node #0,1,2: 54:[26, 20] Operation: 24-4=20
Exploring Operation: 26-24=2, Resulting Numbers: [4, 2]
Generated Node #0,1,3: 54:[4, 2] Operation: 26-24=2
Moving to Node #0,1,0
Current State: 54:[26, 6], Operations: ['72-46=26', '24/4=6']
Exploring Operation: 26*6=156, Resulting Numbers: [156]
156,54 unequal: No Solution
Exploring Operation: 26+6=32, Resulting Numbers: [32]
32,54 unequal: No Solution
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,54 unequal: No Solution
Moving to Node #0,1,3
Current State: 54:[4, 2], Operations: ['72-46=26', '26-24=2']
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,54 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,54 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,54 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,54 unequal: No Solution
Moving to Node #0,1,1
Current State: 54:[26, 28], Operations: ['72-46=26', '24+4=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:[24, 72, 46, 4], Operations: []
Exploring Operation: 72-46=26, Resulting Numbers: [24, 4, 26]
Generated Node #0,1: 54:[24, 4, 26] Operation: 72-46=26
Moving to Node #0,1
Current State: 54:[24, 4, 26], Operations: ['72-46=26']
Exploring Operation: 24+4=28, Resulting Numbers: [26, 28]
Generated Node #0,1,1: 54:[26, 28] Operation: 24+4=28
Moving to Node #0,1,1
Current State: 54:[26, 28], Operations: ['72-46=26', '24+4=28']
Exploring Operation: 26+28=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | sum_heuristic |
[
60,
96,
58,
3
] | 66 | [
"96-60=36",
"58-36=22",
"3*22=66"
] | Current State: 66:[60, 96, 58, 3], Operations: []
Exploring Operation: 96-60=36, Resulting Numbers: [58, 3, 36]
Generated Node #2: [58, 3, 36] from Operation: 96-60=36
Current State: 66:[58, 3, 36], Operations: ['96-60=36']
Exploring Operation: 58-36=22, Resulting Numbers: [3, 22]
Generated Node #3: [3, 22] from Operation: 58-36=22
Current State: 66:[3, 22], Operations: ['96-60=36', '58-36=22']
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[60, 96, 58, 3], Operations: []
Exploring Operation: 96-58=38, Resulting Numbers: [60, 3, 38]
Generated Node #0,0: 66:[60, 3, 38] Operation: 96-58=38
Exploring Operation: 96/3=32, Resulting Numbers: [60, 58, 32]
Generated Node #0,1: 66:[60, 58, 32] Operation: 96/3=32
Exploring Operation: 96-60=36, Resulting Numbers: [58, 3, 36]
Generated Node #0,2: 66:[58, 3, 36] Operation: 96-60=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[60, 3, 38], Operations: ['96-58=38']
Exploring Operation: 60-38=22, Resulting Numbers: [3, 22]
Generated Node #0,0,0: 66:[3, 22] Operation: 60-38=22
Exploring Operation: 60/3=20, Resulting Numbers: [38, 20]
Generated Node #0,0,1: 66:[38, 20] Operation: 60/3=20
Exploring Operation: 60+3=63, Resulting Numbers: [38, 63]
Generated Node #0,0,2: 66:[38, 63] Operation: 60+3=63
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 66:[3, 22], Operations: ['96-58=38', '60-38=22']
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[60, 96, 58, 3], Operations: []
Exploring Operation: 96-58=38, Resulting Numbers: [60, 3, 38]
Generated Node #0,0: 66:[60, 3, 38] Operation: 96-58=38
Moving to Node #0,0
Current State: 66:[60, 3, 38], Operations: ['96-58=38']
Exploring Operation: 60-38=22, Resulting Numbers: [3, 22]
Generated Node #0,0,0: 66:[3, 22] Operation: 60-38=22
Moving to Node #0,0,0
Current State: 66:[3, 22], Operations: ['96-58=38', '60-38=22']
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
84,
74,
42,
91
] | 25 | [
"84+74=158",
"42+91=133",
"158-133=25"
] | Current State: 25:[84, 74, 42, 91], Operations: []
Exploring Operation: 84+74=158, Resulting Numbers: [42, 91, 158]
Generated Node #2: [42, 91, 158] from Operation: 84+74=158
Current State: 25:[42, 91, 158], Operations: ['84+74=158']
Exploring Operation: 42+91=133, Resulting Numbers: [158, 133]
Generated Node #3: [158, 133] from Operation: 42+91=133
Current State: 25:[158, 133], Operations: ['84+74=158', '42+91=133']
Exploring Operation: 158-133=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[84, 74, 42, 91], Operations: []
Exploring Operation: 91-74=17, Resulting Numbers: [84, 42, 17]
Generated Node #0,0: 25:[84, 42, 17] Operation: 91-74=17
Exploring Operation: 91-84=7, Resulting Numbers: [74, 42, 7]
Generated Node #0,1: 25:[74, 42, 7] Operation: 91-84=7
Exploring Operation: 84-74=10, Resulting Numbers: [42, 91, 10]
Generated Node #0,2: 25:[42, 91, 10] Operation: 84-74=10
Moving to Node #0,1
Current State: 25:[74, 42, 7], Operations: ['91-84=7']
Exploring Operation: 74-42=32, Resulting Numbers: [7, 32]
Generated Node #0,1,0: 25:[7, 32] Operation: 74-42=32
Exploring Operation: 42/7=6, Resulting Numbers: [74, 6]
Generated Node #0,1,1: 25:[74, 6] Operation: 42/7=6
Exploring Operation: 74-7=67, Resulting Numbers: [42, 67]
Generated Node #0,1,2: 25:[42, 67] Operation: 74-7=67
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 25:[7, 32], Operations: ['91-84=7', '74-42=32']
Exploring Operation: 7+32=39, Resulting Numbers: [39]
39,25 unequal: No Solution
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[84, 74, 42, 91], Operations: []
Exploring Operation: 91-84=7, Resulting Numbers: [74, 42, 7]
Generated Node #0,1: 25:[74, 42, 7] Operation: 91-84=7
Moving to Node #0,1
Current State: 25:[74, 42, 7], Operations: ['91-84=7']
Exploring Operation: 74-42=32, Resulting Numbers: [7, 32]
Generated Node #0,1,0: 25:[7, 32] Operation: 74-42=32
Moving to Node #0,1,0
Current State: 25:[7, 32], Operations: ['91-84=7', '74-42=32']
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
74,
45,
58,
21
] | 47 | [
"58-21=37",
"74/37=2",
"45+2=47"
] | Current State: 47:[74, 45, 58, 21], Operations: []
Exploring Operation: 58-21=37, Resulting Numbers: [74, 45, 37]
Generated Node #2: [74, 45, 37] from Operation: 58-21=37
Current State: 47:[74, 45, 37], Operations: ['58-21=37']
Exploring Operation: 74/37=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 74/37=2
Current State: 47:[45, 2], Operations: ['58-21=37', '74/37=2']
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[74, 45, 58, 21], Operations: []
Exploring Operation: 58-21=37, Resulting Numbers: [74, 45, 37]
Generated Node #0,0: 47:[74, 45, 37] Operation: 58-21=37
Exploring Operation: 74-45=29, Resulting Numbers: [58, 21, 29]
Generated Node #0,1: 47:[58, 21, 29] Operation: 74-45=29
Exploring Operation: 74-21=53, Resulting Numbers: [45, 58, 53]
Generated Node #0,2: 47:[45, 58, 53] Operation: 74-21=53
Exploring Operation: 45+21=66, Resulting Numbers: [74, 58, 66]
Generated Node #0,3: 47:[74, 58, 66] Operation: 45+21=66
Moving to Node #0,2
Current State: 47:[45, 58, 53], Operations: ['74-21=53']
Exploring Operation: 58-53=5, Resulting Numbers: [45, 5]
Generated Node #0,2,0: 47:[45, 5] Operation: 58-53=5
Exploring Operation: 45+58=103, Resulting Numbers: [53, 103]
Generated Node #0,2,1: 47:[53, 103] Operation: 45+58=103
Exploring Operation: 58-45=13, Resulting Numbers: [53, 13]
Generated Node #0,2,2: 47:[53, 13] Operation: 58-45=13
Exploring Operation: 53-45=8, Resulting Numbers: [58, 8]
Generated Node #0,2,3: 47:[58, 8] Operation: 53-45=8
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 47:[53, 13], Operations: ['74-21=53', '58-45=13']
Exploring Operation: 53-13=40, Resulting Numbers: [40]
40,47 unequal: No Solution
Exploring Operation: 53*13=689, Resulting Numbers: [689]
689,47 unequal: No Solution
Exploring Operation: 53+13=66, Resulting Numbers: [66]
66,47 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 #0,2,0
Current State: 47:[45, 5], Operations: ['74-21=53', '58-53=5']
Exploring Operation: 45+5=50, Resulting Numbers: [50]
50,47 unequal: No Solution
Exploring Operation: 45/5=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 45*5=225, Resulting Numbers: [225]
225,47 unequal: No Solution
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,47 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 #0,2,3
Current State: 47:[58, 8], Operations: ['74-21=53', '53-45=8']
Exploring Operation: 58*8=464, Resulting Numbers: [464]
464,47 unequal: No Solution
Exploring Operation: 58-8=50, Resulting Numbers: [50]
50,47 unequal: No Solution
Exploring Operation: 58+8=66, Resulting Numbers: [66]
66,47 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 #0,2,1
Current State: 47:[53, 103], Operations: ['74-21=53', '45+58=103']
Exploring Operation: 53*103=5459, Resulting Numbers: [5459]
5459,47 unequal: No Solution
Exploring Operation: 53+103=156, Resulting Numbers: [156]
156,47 unequal: No Solution
Exploring Operation: 103-53=50, Resulting Numbers: [50]
50,47 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: 47:[74, 45, 37], Operations: ['58-21=37']
Exploring Operation: 74/37=2, Resulting Numbers: [45, 2]
Generated Node #0,0,0: 47:[45, 2] Operation: 74/37=2
Exploring Operation: 45+37=82, Resulting Numbers: [74, 82]
Generated Node #0,0,1: 47:[74, 82] Operation: 45+37=82
Exploring Operation: 74-45=29, Resulting Numbers: [37, 29]
Generated Node #0,0,2: 47:[37, 29] Operation: 74-45=29
Exploring Operation: 74-37=37, Resulting Numbers: [45, 37]
Generated Node #0,0,3: 47:[45, 37] Operation: 74-37=37
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 47:[45, 37], Operations: ['58-21=37', '74-37=37']
Exploring Operation: 45*37=1665, Resulting Numbers: [1665]
1665,47 unequal: No Solution
Exploring Operation: 45+37=82, Resulting Numbers: [82]
82,47 unequal: No Solution
Exploring Operation: 45-37=8, Resulting Numbers: [8]
8,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 47:[37, 29], Operations: ['58-21=37', '74-45=29']
Exploring Operation: 37+29=66, Resulting Numbers: [66]
66,47 unequal: No Solution
Exploring Operation: 37-29=8, Resulting Numbers: [8]
8,47 unequal: No Solution
Exploring Operation: 37*29=1073, Resulting Numbers: [1073]
1073,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 47:[45, 2], Operations: ['58-21=37', '74/37=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,47 unequal: No Solution
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,47 unequal: No Solution
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[74, 45, 58, 21], Operations: []
Exploring Operation: 58-21=37, Resulting Numbers: [74, 45, 37]
Generated Node #0,0: 47:[74, 45, 37] Operation: 58-21=37
Moving to Node #0,0
Current State: 47:[74, 45, 37], Operations: ['58-21=37']
Exploring Operation: 74/37=2, Resulting Numbers: [45, 2]
Generated Node #0,0,0: 47:[45, 2] Operation: 74/37=2
Moving to Node #0,0,0
Current State: 47:[45, 2], Operations: ['58-21=37', '74/37=2']
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 1
| 0.967014 | hs_4 | mult_heuristic |
[
9,
90,
3,
64
] | 78 | [
"9/3=3",
"90-64=26",
"3*26=78"
] | Current State: 78:[9, 90, 3, 64], Operations: []
Exploring Operation: 9/3=3, Resulting Numbers: [90, 64, 3]
Generated Node #2: [90, 64, 3] from Operation: 9/3=3
Current State: 78:[90, 64, 3], Operations: ['9/3=3']
Exploring Operation: 90-64=26, Resulting Numbers: [3, 26]
Generated Node #3: [3, 26] from Operation: 90-64=26
Current State: 78:[3, 26], Operations: ['9/3=3', '90-64=26']
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[9, 90, 3, 64], Operations: []
Exploring Operation: 90-64=26, Resulting Numbers: [9, 3, 26]
Generated Node #0,0: 78:[9, 3, 26] Operation: 90-64=26
Exploring Operation: 90-9=81, Resulting Numbers: [3, 64, 81]
Generated Node #0,1: 78:[3, 64, 81] Operation: 90-9=81
Moving to Node #0,0
Current State: 78:[9, 3, 26], Operations: ['90-64=26']
Exploring Operation: 9/3=3, Resulting Numbers: [26, 3]
Generated Node #0,0,0: 78:[26, 3] Operation: 9/3=3
Exploring Operation: 9-3=6, Resulting Numbers: [26, 6]
Generated Node #0,0,1: 78:[26, 6] Operation: 9-3=6
Moving to Node #0,1
Current State: 78:[3, 64, 81], Operations: ['90-9=81']
Exploring Operation: 3+64=67, Resulting Numbers: [81, 67]
Generated Node #0,1,0: 78:[81, 67] Operation: 3+64=67
Exploring Operation: 81-64=17, Resulting Numbers: [3, 17]
Generated Node #0,1,1: 78:[3, 17] Operation: 81-64=17
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 78:[3, 17], Operations: ['90-9=81', '81-64=17']
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,78 unequal: No Solution
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 78:[81, 67], Operations: ['90-9=81', '3+64=67']
Exploring Operation: 81-67=14, Resulting Numbers: [14]
14,78 unequal: No Solution
Exploring Operation: 81+67=148, Resulting Numbers: [148]
148,78 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: 78:[26, 3], Operations: ['90-64=26', '9/3=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[9, 90, 3, 64], Operations: []
Exploring Operation: 90-64=26, Resulting Numbers: [9, 3, 26]
Generated Node #0,0: 78:[9, 3, 26] Operation: 90-64=26
Moving to Node #0,0
Current State: 78:[9, 3, 26], Operations: ['90-64=26']
Exploring Operation: 9/3=3, Resulting Numbers: [26, 3]
Generated Node #0,0,0: 78:[26, 3] Operation: 9/3=3
Moving to Node #0,0,0
Current State: 78:[26, 3], Operations: ['90-64=26', '9/3=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 0.986979 | hs_2 | sum_heuristic |
[
56,
39,
58,
32
] | 43 | [
"56-39=17",
"58-32=26",
"17+26=43"
] | Current State: 43:[56, 39, 58, 32], Operations: []
Exploring Operation: 56-39=17, Resulting Numbers: [58, 32, 17]
Generated Node #2: [58, 32, 17] from Operation: 56-39=17
Current State: 43:[58, 32, 17], Operations: ['56-39=17']
Exploring Operation: 58-32=26, Resulting Numbers: [17, 26]
Generated Node #3: [17, 26] from Operation: 58-32=26
Current State: 43:[17, 26], Operations: ['56-39=17', '58-32=26']
Exploring Operation: 17+26=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[56, 39, 58, 32], Operations: []
Exploring Operation: 56-39=17, Resulting Numbers: [58, 32, 17]
Generated Node #0,0: 43:[58, 32, 17] Operation: 56-39=17
Exploring Operation: 58-32=26, Resulting Numbers: [56, 39, 26]
Generated Node #0,1: 43:[56, 39, 26] Operation: 58-32=26
Exploring Operation: 58-39=19, Resulting Numbers: [56, 32, 19]
Generated Node #0,2: 43:[56, 32, 19] Operation: 58-39=19
Exploring Operation: 56-32=24, Resulting Numbers: [39, 58, 24]
Generated Node #0,3: 43:[39, 58, 24] Operation: 56-32=24
Moving to Node #0,1
Current State: 43:[56, 39, 26], Operations: ['58-32=26']
Exploring Operation: 39+26=65, Resulting Numbers: [56, 65]
Generated Node #0,1,0: 43:[56, 65] Operation: 39+26=65
Exploring Operation: 56-26=30, Resulting Numbers: [39, 30]
Generated Node #0,1,1: 43:[39, 30] Operation: 56-26=30
Exploring Operation: 56-39=17, Resulting Numbers: [26, 17]
Generated Node #0,1,2: 43:[26, 17] Operation: 56-39=17
Exploring Operation: 56+26=82, Resulting Numbers: [39, 82]
Generated Node #0,1,3: 43:[39, 82] Operation: 56+26=82
Moving to Node #0,3
Current State: 43:[39, 58, 24], Operations: ['56-32=24']
Exploring Operation: 39-24=15, Resulting Numbers: [58, 15]
Generated Node #0,3,0: 43:[58, 15] Operation: 39-24=15
Exploring Operation: 39+24=63, Resulting Numbers: [58, 63]
Generated Node #0,3,1: 43:[58, 63] Operation: 39+24=63
Exploring Operation: 58-39=19, Resulting Numbers: [24, 19]
Generated Node #0,3,2: 43:[24, 19] Operation: 58-39=19
Exploring Operation: 58-24=34, Resulting Numbers: [39, 34]
Generated Node #0,3,3: 43:[39, 34] Operation: 58-24=34
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 43:[39, 34], Operations: ['56-32=24', '58-24=34']
Exploring Operation: 39*34=1326, Resulting Numbers: [1326]
1326,43 unequal: No Solution
Exploring Operation: 39-34=5, Resulting Numbers: [5]
5,43 unequal: No Solution
Exploring Operation: 39+34=73, Resulting Numbers: [73]
73,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 43:[58, 63], Operations: ['56-32=24', '39+24=63']
Exploring Operation: 58+63=121, Resulting Numbers: [121]
121,43 unequal: No Solution
Exploring Operation: 58*63=3654, Resulting Numbers: [3654]
3654,43 unequal: No Solution
Exploring Operation: 63-58=5, Resulting Numbers: [5]
5,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 43:[58, 15], Operations: ['56-32=24', '39-24=15']
Exploring Operation: 58*15=870, Resulting Numbers: [870]
870,43 unequal: No Solution
Exploring Operation: 58+15=73, Resulting Numbers: [73]
73,43 unequal: No Solution
Exploring Operation: 58-15=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[56, 39, 58, 32], Operations: []
Exploring Operation: 56-32=24, Resulting Numbers: [39, 58, 24]
Generated Node #0,3: 43:[39, 58, 24] Operation: 56-32=24
Moving to Node #0,3
Current State: 43:[39, 58, 24], Operations: ['56-32=24']
Exploring Operation: 39-24=15, Resulting Numbers: [58, 15]
Generated Node #0,3,0: 43:[58, 15] Operation: 39-24=15
Moving to Node #0,3,0
Current State: 43:[58, 15], Operations: ['56-32=24', '39-24=15']
Exploring Operation: 58-15=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_4 | mult_heuristic |
[
40,
85,
25,
5
] | 15 | [
"85-40=45",
"25+5=30",
"45-30=15"
] | Current State: 15:[40, 85, 25, 5], Operations: []
Exploring Operation: 85-40=45, Resulting Numbers: [25, 5, 45]
Generated Node #2: [25, 5, 45] from Operation: 85-40=45
Current State: 15:[25, 5, 45], Operations: ['85-40=45']
Exploring Operation: 25+5=30, Resulting Numbers: [45, 30]
Generated Node #3: [45, 30] from Operation: 25+5=30
Current State: 15:[45, 30], Operations: ['85-40=45', '25+5=30']
Exploring Operation: 45-30=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[40, 85, 25, 5], Operations: []
Exploring Operation: 85-40=45, Resulting Numbers: [25, 5, 45]
Generated Node #0,0: 15:[25, 5, 45] Operation: 85-40=45
Exploring Operation: 85/5=17, Resulting Numbers: [40, 25, 17]
Generated Node #0,1: 15:[40, 25, 17] Operation: 85/5=17
Exploring Operation: 40-25=15, Resulting Numbers: [85, 5, 15]
Generated Node #0,2: 15:[85, 5, 15] Operation: 40-25=15
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[40, 25, 17], Operations: ['85/5=17']
Exploring Operation: 40-25=15, Resulting Numbers: [17, 15]
Generated Node #0,1,0: 15:[17, 15] Operation: 40-25=15
Exploring Operation: 25-17=8, Resulting Numbers: [40, 8]
Generated Node #0,1,1: 15:[40, 8] Operation: 25-17=8
Exploring Operation: 40-17=23, Resulting Numbers: [25, 23]
Generated Node #0,1,2: 15:[25, 23] Operation: 40-17=23
Moving to Node #0,1,0
Current State: 15:[17, 15], Operations: ['85/5=17', '40-25=15']
Exploring Operation: 17+15=32, Resulting Numbers: [32]
32,15 unequal: No Solution
Exploring Operation: 17*15=255, Resulting Numbers: [255]
255,15 unequal: No Solution
Exploring Operation: 17-15=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Moving to Node #0,1,2
Current State: 15:[25, 23], Operations: ['85/5=17', '40-17=23']
Exploring Operation: 25+23=48, Resulting Numbers: [48]
48,15 unequal: No Solution
Exploring Operation: 25-23=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Exploring Operation: 25*23=575, Resulting Numbers: [575]
575,15 unequal: No Solution
Moving to Node #0,1,1
Current State: 15:[40, 8], Operations: ['85/5=17', '25-17=8']
Exploring Operation: 40/8=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 40+8=48, Resulting Numbers: [48]
48,15 unequal: No Solution
Exploring Operation: 40-8=32, Resulting Numbers: [32]
32,15 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 #0,0
Current State: 15:[25, 5, 45], Operations: ['85-40=45']
Exploring Operation: 45/5=9, Resulting Numbers: [25, 9]
Generated Node #0,0,0: 15:[25, 9] Operation: 45/5=9
Exploring Operation: 25/5=5, Resulting Numbers: [45, 5]
Generated Node #0,0,1: 15:[45, 5] Operation: 25/5=5
Exploring Operation: 45-25=20, Resulting Numbers: [5, 20]
Generated Node #0,0,2: 15:[5, 20] Operation: 45-25=20
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 15:[5, 20], Operations: ['85-40=45', '45-25=20']
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[40, 85, 25, 5], Operations: []
Exploring Operation: 85-40=45, Resulting Numbers: [25, 5, 45]
Generated Node #0,0: 15:[25, 5, 45] Operation: 85-40=45
Moving to Node #0,0
Current State: 15:[25, 5, 45], Operations: ['85-40=45']
Exploring Operation: 45-25=20, Resulting Numbers: [5, 20]
Generated Node #0,0,2: 15:[5, 20] Operation: 45-25=20
Moving to Node #0,0,2
Current State: 15:[5, 20], Operations: ['85-40=45', '45-25=20']
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_3 | mult_heuristic |
[
78,
8,
44,
12
] | 18 | [
"78*12=936",
"8+44=52",
"936/52=18"
] | Current State: 18:[78, 8, 44, 12], Operations: []
Exploring Operation: 78*12=936, Resulting Numbers: [8, 44, 936]
Generated Node #2: [8, 44, 936] from Operation: 78*12=936
Current State: 18:[8, 44, 936], Operations: ['78*12=936']
Exploring Operation: 8+44=52, Resulting Numbers: [936, 52]
Generated Node #3: [936, 52] from Operation: 8+44=52
Current State: 18:[936, 52], Operations: ['78*12=936', '8+44=52']
Exploring Operation: 936/52=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[78, 8, 44, 12], Operations: []
Exploring Operation: 78-44=34, Resulting Numbers: [8, 12, 34]
Generated Node #0,0: 18:[8, 12, 34] Operation: 78-44=34
Exploring Operation: 78-12=66, Resulting Numbers: [8, 44, 66]
Generated Node #0,1: 18:[8, 44, 66] Operation: 78-12=66
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[8, 12, 34], Operations: ['78-44=34']
Exploring Operation: 34-12=22, Resulting Numbers: [8, 22]
Generated Node #0,0,0: 18:[8, 22] Operation: 34-12=22
Exploring Operation: 34-8=26, Resulting Numbers: [12, 26]
Generated Node #0,0,1: 18:[12, 26] Operation: 34-8=26
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 18:[8, 22], Operations: ['78-44=34', '34-12=22']
Exploring Operation: 8+22=30, Resulting Numbers: [30]
30,18 unequal: No Solution
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,18 unequal: No Solution
No 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: 18:[12, 26], Operations: ['78-44=34', '34-8=26']
Exploring Operation: 26-12=14, Resulting Numbers: [14]
14,18 unequal: No Solution
Exploring Operation: 12+26=38, Resulting Numbers: [38]
38,18 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: 18:[8, 44, 66], Operations: ['78-12=66']
Exploring Operation: 44-8=36, Resulting Numbers: [66, 36]
Generated Node #0,1,0: 18:[66, 36] Operation: 44-8=36
Exploring Operation: 66-44=22, Resulting Numbers: [8, 22]
Generated Node #0,1,1: 18:[8, 22] Operation: 66-44=22
Moving to Node #0,1,1
Current State: 18:[8, 22], Operations: ['78-12=66', '66-44=22']
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,18 unequal: No Solution
Exploring Operation: 8+22=30, Resulting Numbers: [30]
30,18 unequal: No Solution
Moving to Node #0,1,0
Current State: 18:[66, 36], Operations: ['78-12=66', '44-8=36']
Exploring Operation: 66+36=102, Resulting Numbers: [102]
102,18 unequal: No Solution
Exploring Operation: 66-36=30, Resulting Numbers: [30]
30,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
83,
68,
91,
93
] | 17 | [
"83-68=15",
"93-91=2",
"15+2=17"
] | Current State: 17:[83, 68, 91, 93], Operations: []
Exploring Operation: 83-68=15, Resulting Numbers: [91, 93, 15]
Generated Node #2: [91, 93, 15] from Operation: 83-68=15
Current State: 17:[91, 93, 15], Operations: ['83-68=15']
Exploring Operation: 93-91=2, Resulting Numbers: [15, 2]
Generated Node #3: [15, 2] from Operation: 93-91=2
Current State: 17:[15, 2], Operations: ['83-68=15', '93-91=2']
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[83, 68, 91, 93], Operations: []
Exploring Operation: 93-68=25, Resulting Numbers: [83, 91, 25]
Generated Node #0,0: 17:[83, 91, 25] Operation: 93-68=25
Exploring Operation: 93-91=2, Resulting Numbers: [83, 68, 2]
Generated Node #0,1: 17:[83, 68, 2] Operation: 93-91=2
Exploring Operation: 93-83=10, Resulting Numbers: [68, 91, 10]
Generated Node #0,2: 17:[68, 91, 10] Operation: 93-83=10
Exploring Operation: 91-83=8, Resulting Numbers: [68, 93, 8]
Generated Node #0,3: 17:[68, 93, 8] Operation: 91-83=8
Exploring Operation: 91-68=23, Resulting Numbers: [83, 93, 23]
Generated Node #0,4: 17:[83, 93, 23] Operation: 91-68=23
Start Sub Search at level 1: Moving to Node #0,1
Current State: 17:[83, 68, 2], Operations: ['93-91=2']
Exploring Operation: 83-2=81, Resulting Numbers: [68, 81]
Generated Node #0,1,0: 17:[68, 81] Operation: 83-2=81
Exploring Operation: 83+2=85, Resulting Numbers: [68, 85]
Generated Node #0,1,1: 17:[68, 85] Operation: 83+2=85
Exploring Operation: 68-2=66, Resulting Numbers: [83, 66]
Generated Node #0,1,2: 17:[83, 66] Operation: 68-2=66
Exploring Operation: 68/2=34, Resulting Numbers: [83, 34]
Generated Node #0,1,3: 17:[83, 34] Operation: 68/2=34
Exploring Operation: 83-68=15, Resulting Numbers: [2, 15]
Generated Node #0,1,4: 17:[2, 15] Operation: 83-68=15
Moving to Node #0,1,4
Current State: 17:[2, 15], Operations: ['93-91=2', '83-68=15']
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,17 unequal: No Solution
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,17 unequal: No Solution
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[83, 68, 91, 93], Operations: []
Exploring Operation: 93-91=2, Resulting Numbers: [83, 68, 2]
Generated Node #0,1: 17:[83, 68, 2] Operation: 93-91=2
Moving to Node #0,1
Current State: 17:[83, 68, 2], Operations: ['93-91=2']
Exploring Operation: 83-68=15, Resulting Numbers: [2, 15]
Generated Node #0,1,4: 17:[2, 15] Operation: 83-68=15
Moving to Node #0,1,4
Current State: 17:[2, 15], Operations: ['93-91=2', '83-68=15']
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
45,
61,
15,
66
] | 65 | [
"61-45=16",
"15+66=81",
"81-16=65"
] | Current State: 65:[45, 61, 15, 66], Operations: []
Exploring Operation: 61-45=16, Resulting Numbers: [15, 66, 16]
Generated Node #2: [15, 66, 16] from Operation: 61-45=16
Current State: 65:[15, 66, 16], Operations: ['61-45=16']
Exploring Operation: 15+66=81, Resulting Numbers: [16, 81]
Generated Node #3: [16, 81] from Operation: 15+66=81
Current State: 65:[16, 81], Operations: ['61-45=16', '15+66=81']
Exploring Operation: 81-16=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[45, 61, 15, 66], Operations: []
Exploring Operation: 45+15=60, Resulting Numbers: [61, 66, 60]
Generated Node #0,0: 65:[61, 66, 60] Operation: 45+15=60
Exploring Operation: 66-45=21, Resulting Numbers: [61, 15, 21]
Generated Node #0,1: 65:[61, 15, 21] Operation: 66-45=21
Exploring Operation: 61-45=16, Resulting Numbers: [15, 66, 16]
Generated Node #0,2: 65:[15, 66, 16] Operation: 61-45=16
Exploring Operation: 45/15=3, Resulting Numbers: [61, 66, 3]
Generated Node #0,3: 65:[61, 66, 3] Operation: 45/15=3
Moving to Node #0,2
Current State: 65:[15, 66, 16], Operations: ['61-45=16']
Exploring Operation: 66-15=51, Resulting Numbers: [16, 51]
Generated Node #0,2,0: 65:[16, 51] Operation: 66-15=51
Exploring Operation: 66-16=50, Resulting Numbers: [15, 50]
Generated Node #0,2,1: 65:[15, 50] Operation: 66-16=50
Exploring Operation: 15+66=81, Resulting Numbers: [16, 81]
Generated Node #0,2,2: 65:[16, 81] Operation: 15+66=81
Exploring Operation: 16-15=1, Resulting Numbers: [66, 1]
Generated Node #0,2,3: 65:[66, 1] Operation: 16-15=1
Moving to Node #0,3
Current State: 65:[61, 66, 3], Operations: ['45/15=3']
Exploring Operation: 61+3=64, Resulting Numbers: [66, 64]
Generated Node #0,3,0: 65:[66, 64] Operation: 61+3=64
Exploring Operation: 66-3=63, Resulting Numbers: [61, 63]
Generated Node #0,3,1: 65:[61, 63] Operation: 66-3=63
Exploring Operation: 66-61=5, Resulting Numbers: [3, 5]
Generated Node #0,3,2: 65:[3, 5] Operation: 66-61=5
Exploring Operation: 61-3=58, Resulting Numbers: [66, 58]
Generated Node #0,3,3: 65:[66, 58] Operation: 61-3=58
Moving to Node #0,0
Current State: 65:[61, 66, 60], Operations: ['45+15=60']
Exploring Operation: 61+60=121, Resulting Numbers: [66, 121]
Generated Node #0,0,0: 65:[66, 121] Operation: 61+60=121
Exploring Operation: 61-60=1, Resulting Numbers: [66, 1]
Generated Node #0,0,1: 65:[66, 1] Operation: 61-60=1
Exploring Operation: 66-60=6, Resulting Numbers: [61, 6]
Generated Node #0,0,2: 65:[61, 6] Operation: 66-60=6
Exploring Operation: 66-61=5, Resulting Numbers: [60, 5]
Generated Node #0,0,3: 65:[60, 5] Operation: 66-61=5
Moving to Node #0,1
Current State: 65:[61, 15, 21], Operations: ['66-45=21']
Exploring Operation: 61-15=46, Resulting Numbers: [21, 46]
Generated Node #0,1,0: 65:[21, 46] Operation: 61-15=46
Exploring Operation: 61+15=76, Resulting Numbers: [21, 76]
Generated Node #0,1,1: 65:[21, 76] Operation: 61+15=76
Exploring Operation: 21-15=6, Resulting Numbers: [61, 6]
Generated Node #0,1,2: 65:[61, 6] Operation: 21-15=6
Exploring Operation: 61+21=82, Resulting Numbers: [15, 82]
Generated Node #0,1,3: 65:[15, 82] Operation: 61+21=82
Moving to Node #0,3,0
Current State: 65:[66, 64], Operations: ['45/15=3', '61+3=64']
Exploring Operation: 66*64=4224, Resulting Numbers: [4224]
4224,65 unequal: No Solution
Exploring Operation: 66-64=2, Resulting Numbers: [2]
2,65 unequal: No Solution
Exploring Operation: 66+64=130, Resulting Numbers: [130]
130,65 unequal: No Solution
Moving to Node #0,3,2
Current State: 65:[3, 5], Operations: ['45/15=3', '66-61=5']
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,65 unequal: No Solution
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,65 unequal: No Solution
Moving to Node #0,1,2
Current State: 65:[61, 6], Operations: ['66-45=21', '21-15=6']
Exploring Operation: 61+6=67, Resulting Numbers: [67]
67,65 unequal: No Solution
Exploring Operation: 61-6=55, Resulting Numbers: [55]
55,65 unequal: No Solution
Exploring Operation: 61*6=366, Resulting Numbers: [366]
366,65 unequal: No Solution
Moving to Node #0,2,3
Current State: 65:[66, 1], Operations: ['61-45=16', '16-15=1']
Exploring Operation: 66*1=66, Resulting Numbers: [66]
66,65 unequal: No Solution
Exploring Operation: 66+1=67, Resulting Numbers: [67]
67,65 unequal: No Solution
Exploring Operation: 66-1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[45, 61, 15, 66], Operations: []
Exploring Operation: 61-45=16, Resulting Numbers: [15, 66, 16]
Generated Node #0,2: 65:[15, 66, 16] Operation: 61-45=16
Moving to Node #0,2
Current State: 65:[15, 66, 16], Operations: ['61-45=16']
Exploring Operation: 16-15=1, Resulting Numbers: [66, 1]
Generated Node #0,2,3: 65:[66, 1] Operation: 16-15=1
Moving to Node #0,2,3
Current State: 65:[66, 1], Operations: ['61-45=16', '16-15=1']
Exploring Operation: 66-1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 0.96875 | hs_4 | mult_heuristic |
[
49,
1,
5,
55
] | 30 | [
"49*1=49",
"55-49=6",
"5*6=30"
] | Current State: 30:[49, 1, 5, 55], Operations: []
Exploring Operation: 49*1=49, Resulting Numbers: [5, 55, 49]
Generated Node #2: [5, 55, 49] from Operation: 49*1=49
Current State: 30:[5, 55, 49], Operations: ['49*1=49']
Exploring Operation: 55-49=6, Resulting Numbers: [5, 6]
Generated Node #3: [5, 6] from Operation: 55-49=6
Current State: 30:[5, 6], Operations: ['49*1=49', '55-49=6']
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[49, 1, 5, 55], Operations: []
Exploring Operation: 55-5=50, Resulting Numbers: [49, 1, 50]
Generated Node #0,0: 30:[49, 1, 50] Operation: 55-5=50
Exploring Operation: 49-5=44, Resulting Numbers: [1, 55, 44]
Generated Node #0,1: 30:[1, 55, 44] Operation: 49-5=44
Exploring Operation: 49-1=48, Resulting Numbers: [5, 55, 48]
Generated Node #0,2: 30:[5, 55, 48] Operation: 49-1=48
Exploring Operation: 55-49=6, Resulting Numbers: [1, 5, 6]
Generated Node #0,3: 30:[1, 5, 6] Operation: 55-49=6
Exploring Operation: 55/5=11, Resulting Numbers: [49, 1, 11]
Generated Node #0,4: 30:[49, 1, 11] Operation: 55/5=11
Moving to Node #0,3
Current State: 30:[1, 5, 6], Operations: ['55-49=6']
Exploring Operation: 6-1=5, Resulting Numbers: [5, 5]
Generated Node #0,3,0: 30:[5, 5] Operation: 6-1=5
Exploring Operation: 5/1=5, Resulting Numbers: [6, 5]
Generated Node #0,3,1: 30:[6, 5] Operation: 5/1=5
Exploring Operation: 1+5=6, Resulting Numbers: [6, 6]
Generated Node #0,3,2: 30:[6, 6] Operation: 1+5=6
Exploring Operation: 1*6=6, Resulting Numbers: [5, 6]
Generated Node #0,3,3: 30:[5, 6] Operation: 1*6=6
Exploring Operation: 1*5=5, Resulting Numbers: [6, 5]
Generated Node #0,3,4: 30:[6, 5] Operation: 1*5=5
Moving to Node #0,4
Current State: 30:[49, 1, 11], Operations: ['55/5=11']
Exploring Operation: 11-1=10, Resulting Numbers: [49, 10]
Generated Node #0,4,0: 30:[49, 10] Operation: 11-1=10
Exploring Operation: 49*1=49, Resulting Numbers: [11, 49]
Generated Node #0,4,1: 30:[11, 49] Operation: 49*1=49
Exploring Operation: 49-11=38, Resulting Numbers: [1, 38]
Generated Node #0,4,2: 30:[1, 38] Operation: 49-11=38
Exploring Operation: 49-1=48, Resulting Numbers: [11, 48]
Generated Node #0,4,3: 30:[11, 48] Operation: 49-1=48
Exploring Operation: 49/1=49, Resulting Numbers: [11, 49]
Generated Node #0,4,4: 30:[11, 49] Operation: 49/1=49
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 30:[1, 38], Operations: ['55/5=11', '49-11=38']
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,30 unequal: No Solution
Exploring Operation: 1*38=38, Resulting Numbers: [38]
38,30 unequal: No Solution
Exploring Operation: 1+38=39, Resulting Numbers: [39]
39,30 unequal: No Solution
Exploring Operation: 38/1=38, Resulting Numbers: [38]
38,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 30:[49, 10], Operations: ['55/5=11', '11-1=10']
Exploring Operation: 49-10=39, Resulting Numbers: [39]
39,30 unequal: No Solution
Exploring Operation: 49+10=59, Resulting Numbers: [59]
59,30 unequal: No Solution
Exploring Operation: 49*10=490, Resulting Numbers: [490]
490,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 30:[11, 48], Operations: ['55/5=11', '49-1=48']
Exploring Operation: 11*48=528, Resulting Numbers: [528]
528,30 unequal: No Solution
Exploring Operation: 48-11=37, Resulting Numbers: [37]
37,30 unequal: No Solution
Exploring Operation: 11+48=59, Resulting Numbers: [59]
59,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 30:[11, 49], Operations: ['55/5=11', '49*1=49']
Exploring Operation: 11+49=60, Resulting Numbers: [60]
60,30 unequal: No Solution
Exploring Operation: 11*49=539, Resulting Numbers: [539]
539,30 unequal: No Solution
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 30:[11, 49], Operations: ['55/5=11', '49/1=49']
Exploring Operation: 11*49=539, Resulting Numbers: [539]
539,30 unequal: No Solution
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,30 unequal: No Solution
Exploring Operation: 11+49=60, Resulting Numbers: [60]
60,30 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: 30:[49, 1, 50], Operations: ['55-5=50']
Exploring Operation: 49/1=49, Resulting Numbers: [50, 49]
Generated Node #0,0,0: 30:[50, 49] Operation: 49/1=49
Exploring Operation: 49*1=49, Resulting Numbers: [50, 49]
Generated Node #0,0,1: 30:[50, 49] Operation: 49*1=49
Exploring Operation: 49-1=48, Resulting Numbers: [50, 48]
Generated Node #0,0,2: 30:[50, 48] Operation: 49-1=48
Exploring Operation: 50-49=1, Resulting Numbers: [1, 1]
Generated Node #0,0,3: 30:[1, 1] Operation: 50-49=1
Exploring Operation: 50-1=49, Resulting Numbers: [49, 49]
Generated Node #0,0,4: 30:[49, 49] Operation: 50-1=49
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 30:[1, 1], Operations: ['55-5=50', '50-49=1']
Exploring Operation: 1+1=2, Resulting Numbers: [2]
2,30 unequal: No Solution
Exploring Operation: 1*1=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Exploring Operation: 1/1=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Exploring Operation: 1-1=0, Resulting Numbers: [0]
0,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 30:[50, 48], Operations: ['55-5=50', '49-1=48']
Exploring Operation: 50-48=2, Resulting Numbers: [2]
2,30 unequal: No Solution
Exploring Operation: 50*48=2400, Resulting Numbers: [2400]
2400,30 unequal: No Solution
Exploring Operation: 50+48=98, Resulting Numbers: [98]
98,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 30:[49, 49], Operations: ['55-5=50', '50-1=49']
Exploring Operation: 49/49=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Exploring Operation: 49+49=98, Resulting Numbers: [98]
98,30 unequal: No Solution
Exploring Operation: 49-49=0, Resulting Numbers: [0]
0,30 unequal: No Solution
Exploring Operation: 49*49=2401, Resulting Numbers: [2401]
2401,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 30:[50, 49], Operations: ['55-5=50', '49/1=49']
Exploring Operation: 50+49=99, Resulting Numbers: [99]
99,30 unequal: No Solution
Exploring Operation: 50-49=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Exploring Operation: 50*49=2450, Resulting Numbers: [2450]
2450,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 30:[50, 49], Operations: ['55-5=50', '49*1=49']
Exploring Operation: 50*49=2450, Resulting Numbers: [2450]
2450,30 unequal: No Solution
Exploring Operation: 50+49=99, Resulting Numbers: [99]
99,30 unequal: No Solution
Exploring Operation: 50-49=1, Resulting Numbers: [1]
1,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 30:[1, 55, 44], Operations: ['49-5=44']
Exploring Operation: 1*55=55, Resulting Numbers: [44, 55]
Generated Node #0,1,0: 30:[44, 55] Operation: 1*55=55
Exploring Operation: 44-1=43, Resulting Numbers: [55, 43]
Generated Node #0,1,1: 30:[55, 43] Operation: 44-1=43
Exploring Operation: 55-1=54, Resulting Numbers: [44, 54]
Generated Node #0,1,2: 30:[44, 54] Operation: 55-1=54
Exploring Operation: 55-44=11, Resulting Numbers: [1, 11]
Generated Node #0,1,3: 30:[1, 11] Operation: 55-44=11
Exploring Operation: 55/1=55, Resulting Numbers: [44, 55]
Generated Node #0,1,4: 30:[44, 55] Operation: 55/1=55
Moving to Node #0,2
Current State: 30:[5, 55, 48], Operations: ['49-1=48']
Exploring Operation: 55-48=7, Resulting Numbers: [5, 7]
Generated Node #0,2,0: 30:[5, 7] Operation: 55-48=7
Exploring Operation: 48-5=43, Resulting Numbers: [55, 43]
Generated Node #0,2,1: 30:[55, 43] Operation: 48-5=43
Exploring Operation: 5+55=60, Resulting Numbers: [48, 60]
Generated Node #0,2,2: 30:[48, 60] Operation: 5+55=60
Exploring Operation: 55-5=50, Resulting Numbers: [48, 50]
Generated Node #0,2,3: 30:[48, 50] Operation: 55-5=50
Exploring Operation: 55/5=11, Resulting Numbers: [48, 11]
Generated Node #0,2,4: 30:[48, 11] Operation: 55/5=11
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 30:[5, 7], Operations: ['49-1=48', '55-48=7']
Exploring Operation: 5+7=12, Resulting Numbers: [12]
12,30 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,30 unequal: No Solution
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 30:[48, 11], Operations: ['49-1=48', '55/5=11']
Exploring Operation: 48-11=37, Resulting Numbers: [37]
37,30 unequal: No Solution
Exploring Operation: 48*11=528, Resulting Numbers: [528]
528,30 unequal: No Solution
Exploring Operation: 48+11=59, Resulting Numbers: [59]
59,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 30:[55, 43], Operations: ['49-1=48', '48-5=43']
Exploring Operation: 55+43=98, Resulting Numbers: [98]
98,30 unequal: No Solution
Exploring Operation: 55-43=12, Resulting Numbers: [12]
12,30 unequal: No Solution
Exploring Operation: 55*43=2365, Resulting Numbers: [2365]
2365,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 30:[48, 50], Operations: ['49-1=48', '55-5=50']
Exploring Operation: 50-48=2, Resulting Numbers: [2]
2,30 unequal: No Solution
Exploring Operation: 48*50=2400, Resulting Numbers: [2400]
2400,30 unequal: No Solution
Exploring Operation: 48+50=98, Resulting Numbers: [98]
98,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 30:[48, 60], Operations: ['49-1=48', '5+55=60']
Exploring Operation: 48*60=2880, Resulting Numbers: [2880]
2880,30 unequal: No Solution
Exploring Operation: 48+60=108, Resulting Numbers: [108]
108,30 unequal: No Solution
Exploring Operation: 60-48=12, Resulting Numbers: [12]
12,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 30:[5, 5], Operations: ['55-49=6', '6-1=5']
Exploring Operation: 5/5=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,30 unequal: No Solution
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,30 unequal: No Solution
Exploring Operation: 5-5=0, Resulting Numbers: [0]
0,30 unequal: No Solution
Moving to Node #0,3,2
Current State: 30:[6, 6], Operations: ['55-49=6', '1+5=6']
Exploring Operation: 6-6=0, Resulting Numbers: [0]
0,30 unequal: No Solution
Exploring Operation: 6*6=36, Resulting Numbers: [36]
36,30 unequal: No Solution
Exploring Operation: 6/6=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Exploring Operation: 6+6=12, Resulting Numbers: [12]
12,30 unequal: No Solution
Moving to Node #0,3,1
Current State: 30:[6, 5], Operations: ['55-49=6', '5/1=5']
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[49, 1, 5, 55], Operations: []
Exploring Operation: 55-49=6, Resulting Numbers: [1, 5, 6]
Generated Node #0,3: 30:[1, 5, 6] Operation: 55-49=6
Moving to Node #0,3
Current State: 30:[1, 5, 6], Operations: ['55-49=6']
Exploring Operation: 5/1=5, Resulting Numbers: [6, 5]
Generated Node #0,3,1: 30:[6, 5] Operation: 5/1=5
Moving to Node #0,3,1
Current State: 30:[6, 5], Operations: ['55-49=6', '5/1=5']
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 0.919271 | hs_5 | sum_heuristic |
[
46,
63,
20,
65
] | 86 | [
"65-63=2",
"20*2=40",
"46+40=86"
] | Current State: 86:[46, 63, 20, 65], Operations: []
Exploring Operation: 65-63=2, Resulting Numbers: [46, 20, 2]
Generated Node #2: [46, 20, 2] from Operation: 65-63=2
Current State: 86:[46, 20, 2], Operations: ['65-63=2']
Exploring Operation: 20*2=40, Resulting Numbers: [46, 40]
Generated Node #3: [46, 40] from Operation: 20*2=40
Current State: 86:[46, 40], Operations: ['65-63=2', '20*2=40']
Exploring Operation: 46+40=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[46, 63, 20, 65], Operations: []
Exploring Operation: 65-20=45, Resulting Numbers: [46, 63, 45]
Generated Node #0,0: 86:[46, 63, 45] Operation: 65-20=45
Exploring Operation: 65-63=2, Resulting Numbers: [46, 20, 2]
Generated Node #0,1: 86:[46, 20, 2] Operation: 65-63=2
Exploring Operation: 63-20=43, Resulting Numbers: [46, 65, 43]
Generated Node #0,2: 86:[46, 65, 43] Operation: 63-20=43
Exploring Operation: 20+65=85, Resulting Numbers: [46, 63, 85]
Generated Node #0,3: 86:[46, 63, 85] Operation: 20+65=85
Exploring Operation: 63+20=83, Resulting Numbers: [46, 65, 83]
Generated Node #0,4: 86:[46, 65, 83] Operation: 63+20=83
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[46, 20, 2], Operations: ['65-63=2']
Exploring Operation: 46-2=44, Resulting Numbers: [20, 44]
Generated Node #0,1,0: 86:[20, 44] Operation: 46-2=44
Exploring Operation: 20-2=18, Resulting Numbers: [46, 18]
Generated Node #0,1,1: 86:[46, 18] Operation: 20-2=18
Exploring Operation: 20/2=10, Resulting Numbers: [46, 10]
Generated Node #0,1,2: 86:[46, 10] Operation: 20/2=10
Exploring Operation: 46-20=26, Resulting Numbers: [2, 26]
Generated Node #0,1,3: 86:[2, 26] Operation: 46-20=26
Exploring Operation: 20*2=40, Resulting Numbers: [46, 40]
Generated Node #0,1,4: 86:[46, 40] Operation: 20*2=40
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 86:[46, 40], Operations: ['65-63=2', '20*2=40']
Exploring Operation: 46*40=1840, Resulting Numbers: [1840]
1840,86 unequal: No Solution
Exploring Operation: 46-40=6, Resulting Numbers: [6]
6,86 unequal: No Solution
Exploring Operation: 46+40=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[46, 63, 20, 65], Operations: []
Exploring Operation: 65-63=2, Resulting Numbers: [46, 20, 2]
Generated Node #0,1: 86:[46, 20, 2] Operation: 65-63=2
Moving to Node #0,1
Current State: 86:[46, 20, 2], Operations: ['65-63=2']
Exploring Operation: 20*2=40, Resulting Numbers: [46, 40]
Generated Node #0,1,4: 86:[46, 40] Operation: 20*2=40
Moving to Node #0,1,4
Current State: 86:[46, 40], Operations: ['65-63=2', '20*2=40']
Exploring Operation: 46+40=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
40,
69,
64,
55
] | 19 | [
"40+55=95",
"69-64=5",
"95/5=19"
] | Current State: 19:[40, 69, 64, 55], Operations: []
Exploring Operation: 40+55=95, Resulting Numbers: [69, 64, 95]
Generated Node #2: [69, 64, 95] from Operation: 40+55=95
Current State: 19:[69, 64, 95], Operations: ['40+55=95']
Exploring Operation: 69-64=5, Resulting Numbers: [95, 5]
Generated Node #3: [95, 5] from Operation: 69-64=5
Current State: 19:[95, 5], Operations: ['40+55=95', '69-64=5']
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[40, 69, 64, 55], Operations: []
Exploring Operation: 69-64=5, Resulting Numbers: [40, 55, 5]
Generated Node #0,0: 19:[40, 55, 5] Operation: 69-64=5
Exploring Operation: 64-55=9, Resulting Numbers: [40, 69, 9]
Generated Node #0,1: 19:[40, 69, 9] Operation: 64-55=9
Exploring Operation: 64-40=24, Resulting Numbers: [69, 55, 24]
Generated Node #0,2: 19:[69, 55, 24] Operation: 64-40=24
Exploring Operation: 69-40=29, Resulting Numbers: [64, 55, 29]
Generated Node #0,3: 19:[64, 55, 29] Operation: 69-40=29
Exploring Operation: 69-55=14, Resulting Numbers: [40, 64, 14]
Generated Node #0,4: 19:[40, 64, 14] Operation: 69-55=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[40, 55, 5], Operations: ['69-64=5']
Exploring Operation: 55/5=11, Resulting Numbers: [40, 11]
Generated Node #0,0,0: 19:[40, 11] Operation: 55/5=11
Exploring Operation: 55-5=50, Resulting Numbers: [40, 50]
Generated Node #0,0,1: 19:[40, 50] Operation: 55-5=50
Exploring Operation: 40/5=8, Resulting Numbers: [55, 8]
Generated Node #0,0,2: 19:[55, 8] Operation: 40/5=8
Exploring Operation: 55-40=15, Resulting Numbers: [5, 15]
Generated Node #0,0,3: 19:[5, 15] Operation: 55-40=15
Exploring Operation: 40-5=35, Resulting Numbers: [55, 35]
Generated Node #0,0,4: 19:[55, 35] Operation: 40-5=35
Moving to Node #0,0,3
Current State: 19:[5, 15], Operations: ['69-64=5', '55-40=15']
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,19 unequal: No Solution
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,19 unequal: No Solution
Exploring Operation: 5+15=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,19 unequal: No Solution
Moving to Node #0,0,0
Current State: 19:[40, 11], Operations: ['69-64=5', '55/5=11']
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,19 unequal: No Solution
Exploring Operation: 40+11=51, Resulting Numbers: [51]
51,19 unequal: No Solution
Exploring Operation: 40*11=440, Resulting Numbers: [440]
440,19 unequal: No Solution
Moving to Node #0,0,2
Current State: 19:[55, 8], Operations: ['69-64=5', '40/5=8']
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,19 unequal: No Solution
Exploring Operation: 55*8=440, Resulting Numbers: [440]
440,19 unequal: No Solution
Exploring Operation: 55+8=63, Resulting Numbers: [63]
63,19 unequal: No Solution
Moving to Node #0,0,1
Current State: 19:[40, 50], Operations: ['69-64=5', '55-5=50']
Exploring Operation: 40+50=90, Resulting Numbers: [90]
90,19 unequal: No Solution
Exploring Operation: 50-40=10, Resulting Numbers: [10]
10,19 unequal: No Solution
Exploring Operation: 40*50=2000, Resulting Numbers: [2000]
2000,19 unequal: No Solution
Moving to Node #0,0,4
Current State: 19:[55, 35], Operations: ['69-64=5', '40-5=35']
Exploring Operation: 55+35=90, Resulting Numbers: [90]
90,19 unequal: No Solution
Exploring Operation: 55-35=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 55*35=1925, Resulting Numbers: [1925]
1925,19 unequal: No Solution
No 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: 19:[40, 64, 14], Operations: ['69-55=14']
Exploring Operation: 64-14=50, Resulting Numbers: [40, 50]
Generated Node #0,4,0: 19:[40, 50] Operation: 64-14=50
Exploring Operation: 64+14=78, Resulting Numbers: [40, 78]
Generated Node #0,4,1: 19:[40, 78] Operation: 64+14=78
Exploring Operation: 64-40=24, Resulting Numbers: [14, 24]
Generated Node #0,4,2: 19:[14, 24] Operation: 64-40=24
Exploring Operation: 40-14=26, Resulting Numbers: [64, 26]
Generated Node #0,4,3: 19:[64, 26] Operation: 40-14=26
Exploring Operation: 40+14=54, Resulting Numbers: [64, 54]
Generated Node #0,4,4: 19:[64, 54] Operation: 40+14=54
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 19:[14, 24], Operations: ['69-55=14', '64-40=24']
Exploring Operation: 14*24=336, Resulting Numbers: [336]
336,19 unequal: No Solution
Exploring Operation: 24-14=10, Resulting Numbers: [10]
10,19 unequal: No Solution
Exploring Operation: 14+24=38, Resulting Numbers: [38]
38,19 unequal: No Solution
No 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: 19:[40, 50], Operations: ['69-55=14', '64-14=50']
Exploring Operation: 40+50=90, Resulting Numbers: [90]
90,19 unequal: No Solution
Exploring Operation: 40*50=2000, Resulting Numbers: [2000]
2000,19 unequal: No Solution
Exploring Operation: 50-40=10, Resulting Numbers: [10]
10,19 unequal: No Solution
No 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: 19:[64, 26], Operations: ['69-55=14', '40-14=26']
Exploring Operation: 64*26=1664, Resulting Numbers: [1664]
1664,19 unequal: No Solution
Exploring Operation: 64+26=90, Resulting Numbers: [90]
90,19 unequal: No Solution
Exploring Operation: 64-26=38, Resulting Numbers: [38]
38,19 unequal: No Solution
No 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: 19:[40, 78], Operations: ['69-55=14', '64+14=78']
Exploring Operation: 40+78=118, Resulting Numbers: [118]
118,19 unequal: No Solution
Exploring Operation: 78-40=38, Resulting Numbers: [38]
38,19 unequal: No Solution
Exploring Operation: 40*78=3120, Resulting Numbers: [3120]
3120,19 unequal: No Solution
No 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: 19:[64, 54], Operations: ['69-55=14', '40+14=54']
Exploring Operation: 64*54=3456, Resulting Numbers: [3456]
3456,19 unequal: No Solution
Exploring Operation: 64+54=118, Resulting Numbers: [118]
118,19 unequal: No Solution
Exploring Operation: 64-54=10, Resulting Numbers: [10]
10,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[40, 69, 9], Operations: ['64-55=9']
Exploring Operation: 69-40=29, Resulting Numbers: [9, 29]
Generated Node #0,1,0: 19:[9, 29] Operation: 69-40=29
Exploring Operation: 40+9=49, Resulting Numbers: [69, 49]
Generated Node #0,1,1: 19:[69, 49] Operation: 40+9=49
Exploring Operation: 69-9=60, Resulting Numbers: [40, 60]
Generated Node #0,1,2: 19:[40, 60] Operation: 69-9=60
Exploring Operation: 40-9=31, Resulting Numbers: [69, 31]
Generated Node #0,1,3: 19:[69, 31] Operation: 40-9=31
Exploring Operation: 69+9=78, Resulting Numbers: [40, 78]
Generated Node #0,1,4: 19:[40, 78] Operation: 69+9=78
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 19:[9, 29], Operations: ['64-55=9', '69-40=29']
Exploring Operation: 29-9=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 9+29=38, Resulting Numbers: [38]
38,19 unequal: No Solution
Exploring Operation: 9*29=261, Resulting Numbers: [261]
261,19 unequal: No Solution
No 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: 19:[40, 60], Operations: ['64-55=9', '69-9=60']
Exploring Operation: 40*60=2400, Resulting Numbers: [2400]
2400,19 unequal: No Solution
Exploring Operation: 60-40=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 40+60=100, Resulting Numbers: [100]
100,19 unequal: No Solution
No 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: 19:[69, 31], Operations: ['64-55=9', '40-9=31']
Exploring Operation: 69-31=38, Resulting Numbers: [38]
38,19 unequal: No Solution
Exploring Operation: 69*31=2139, Resulting Numbers: [2139]
2139,19 unequal: No Solution
Exploring Operation: 69+31=100, Resulting Numbers: [100]
100,19 unequal: No Solution
No 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: 19:[69, 49], Operations: ['64-55=9', '40+9=49']
Exploring Operation: 69-49=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 69*49=3381, Resulting Numbers: [3381]
3381,19 unequal: No Solution
Exploring Operation: 69+49=118, Resulting Numbers: [118]
118,19 unequal: No Solution
No 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: 19:[40, 78], Operations: ['64-55=9', '69+9=78']
Exploring Operation: 40+78=118, Resulting Numbers: [118]
118,19 unequal: No Solution
Exploring Operation: 40*78=3120, Resulting Numbers: [3120]
3120,19 unequal: No Solution
Exploring Operation: 78-40=38, Resulting Numbers: [38]
38,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 19:[69, 55, 24], Operations: ['64-40=24']
Exploring Operation: 69+24=93, Resulting Numbers: [55, 93]
Generated Node #0,2,0: 19:[55, 93] Operation: 69+24=93
Exploring Operation: 69-24=45, Resulting Numbers: [55, 45]
Generated Node #0,2,1: 19:[55, 45] Operation: 69-24=45
Exploring Operation: 69-55=14, Resulting Numbers: [24, 14]
Generated Node #0,2,2: 19:[24, 14] Operation: 69-55=14
Exploring Operation: 69+55=124, Resulting Numbers: [24, 124]
Generated Node #0,2,3: 19:[24, 124] Operation: 69+55=124
Exploring Operation: 55-24=31, Resulting Numbers: [69, 31]
Generated Node #0,2,4: 19:[69, 31] Operation: 55-24=31
Moving to Node #0,2,2
Current State: 19:[24, 14], Operations: ['64-40=24', '69-55=14']
Exploring Operation: 24*14=336, Resulting Numbers: [336]
336,19 unequal: No Solution
Exploring Operation: 24-14=10, Resulting Numbers: [10]
10,19 unequal: No Solution
Exploring Operation: 24+14=38, Resulting Numbers: [38]
38,19 unequal: No Solution
Moving to Node #0,2,4
Current State: 19:[69, 31], Operations: ['64-40=24', '55-24=31']
Exploring Operation: 69-31=38, Resulting Numbers: [38]
38,19 unequal: No Solution
Exploring Operation: 69*31=2139, Resulting Numbers: [2139]
2139,19 unequal: No Solution
Exploring Operation: 69+31=100, Resulting Numbers: [100]
100,19 unequal: No Solution
Moving to Node #0,2,1
Current State: 19:[55, 45], Operations: ['64-40=24', '69-24=45']
Exploring Operation: 55+45=100, Resulting Numbers: [100]
100,19 unequal: No Solution
Exploring Operation: 55*45=2475, Resulting Numbers: [2475]
2475,19 unequal: No Solution
Exploring Operation: 55-45=10, Resulting Numbers: [10]
10,19 unequal: No Solution
Moving to Node #0,2,0
Current State: 19:[55, 93], Operations: ['64-40=24', '69+24=93']
Exploring Operation: 93-55=38, Resulting Numbers: [38]
38,19 unequal: No Solution
Exploring Operation: 55+93=148, Resulting Numbers: [148]
148,19 unequal: No Solution
Exploring Operation: 55*93=5115, Resulting Numbers: [5115]
5115,19 unequal: No Solution
Moving to Node #0,2,3
Current State: 19:[24, 124], Operations: ['64-40=24', '69+55=124']
Exploring Operation: 24+124=148, Resulting Numbers: [148]
148,19 unequal: No Solution
Exploring Operation: 124-24=100, Resulting Numbers: [100]
100,19 unequal: No Solution
Exploring Operation: 24*124=2976, Resulting Numbers: [2976]
2976,19 unequal: No Solution
No 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: 19:[64, 55, 29], Operations: ['69-40=29']
Exploring Operation: 55-29=26, Resulting Numbers: [64, 26]
Generated Node #0,3,0: 19:[64, 26] Operation: 55-29=26
Exploring Operation: 64-29=35, Resulting Numbers: [55, 35]
Generated Node #0,3,1: 19:[55, 35] Operation: 64-29=35
Exploring Operation: 64+55=119, Resulting Numbers: [29, 119]
Generated Node #0,3,2: 19:[29, 119] Operation: 64+55=119
Exploring Operation: 64+29=93, Resulting Numbers: [55, 93]
Generated Node #0,3,3: 19:[55, 93] Operation: 64+29=93
Exploring Operation: 64-55=9, Resulting Numbers: [29, 9]
Generated Node #0,3,4: 19:[29, 9] Operation: 64-55=9
Moving to Node #0,3,4
Current State: 19:[29, 9], Operations: ['69-40=29', '64-55=9']
Exploring Operation: 29*9=261, Resulting Numbers: [261]
261,19 unequal: No Solution
Exploring Operation: 29-9=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 29+9=38, Resulting Numbers: [38]
38,19 unequal: No Solution
Moving to Node #0,3,1
Current State: 19:[55, 35], Operations: ['69-40=29', '64-29=35']
Exploring Operation: 55+35=90, Resulting Numbers: [90]
90,19 unequal: No Solution
Exploring Operation: 55-35=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 55*35=1925, Resulting Numbers: [1925]
1925,19 unequal: No Solution
Moving to Node #0,3,0
Current State: 19:[64, 26], Operations: ['69-40=29', '55-29=26']
Exploring Operation: 64-26=38, Resulting Numbers: [38]
38,19 unequal: No Solution
Exploring Operation: 64*26=1664, Resulting Numbers: [1664]
1664,19 unequal: No Solution
Exploring Operation: 64+26=90, Resulting Numbers: [90]
90,19 unequal: No Solution
Moving to Node #0,3,2
Current State: 19:[29, 119], Operations: ['69-40=29', '64+55=119']
Exploring Operation: 29*119=3451, Resulting Numbers: [3451]
3451,19 unequal: No Solution
Exploring Operation: 119-29=90, Resulting Numbers: [90]
90,19 unequal: No Solution
Exploring Operation: 29+119=148, Resulting Numbers: [148]
148,19 unequal: No Solution
Moving to Node #0,3,3
Current State: 19:[55, 93], Operations: ['69-40=29', '64+29=93']
Exploring Operation: 55*93=5115, Resulting Numbers: [5115]
5115,19 unequal: No Solution
Exploring Operation: 55+93=148, Resulting Numbers: [148]
148,19 unequal: No Solution
Exploring Operation: 93-55=38, Resulting Numbers: [38]
38,19 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 |
[
4,
36,
28,
45
] | 23 | [
"4+36=40",
"45-28=17",
"40-17=23"
] | Current State: 23:[4, 36, 28, 45], Operations: []
Exploring Operation: 4+36=40, Resulting Numbers: [28, 45, 40]
Generated Node #2: [28, 45, 40] from Operation: 4+36=40
Current State: 23:[28, 45, 40], Operations: ['4+36=40']
Exploring Operation: 45-28=17, Resulting Numbers: [40, 17]
Generated Node #3: [40, 17] from Operation: 45-28=17
Current State: 23:[40, 17], Operations: ['4+36=40', '45-28=17']
Exploring Operation: 40-17=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[4, 36, 28, 45], Operations: []
Exploring Operation: 36-4=32, Resulting Numbers: [28, 45, 32]
Generated Node #0,0: 23:[28, 45, 32] Operation: 36-4=32
Exploring Operation: 45-36=9, Resulting Numbers: [4, 28, 9]
Generated Node #0,1: 23:[4, 28, 9] Operation: 45-36=9
Exploring Operation: 28-4=24, Resulting Numbers: [36, 45, 24]
Generated Node #0,2: 23:[36, 45, 24] Operation: 28-4=24
Exploring Operation: 45-4=41, Resulting Numbers: [36, 28, 41]
Generated Node #0,3: 23:[36, 28, 41] Operation: 45-4=41
Moving to Node #0,0
Current State: 23:[28, 45, 32], Operations: ['36-4=32']
Exploring Operation: 45-32=13, Resulting Numbers: [28, 13]
Generated Node #0,0,0: 23:[28, 13] Operation: 45-32=13
Exploring Operation: 45-28=17, Resulting Numbers: [32, 17]
Generated Node #0,0,1: 23:[32, 17] Operation: 45-28=17
Exploring Operation: 32-28=4, Resulting Numbers: [45, 4]
Generated Node #0,0,2: 23:[45, 4] Operation: 32-28=4
Exploring Operation: 28+45=73, Resulting Numbers: [32, 73]
Generated Node #0,0,3: 23:[32, 73] Operation: 28+45=73
Moving to Node #0,3
Current State: 23:[36, 28, 41], Operations: ['45-4=41']
Exploring Operation: 36-28=8, Resulting Numbers: [41, 8]
Generated Node #0,3,0: 23:[41, 8] Operation: 36-28=8
Exploring Operation: 41-36=5, Resulting Numbers: [28, 5]
Generated Node #0,3,1: 23:[28, 5] Operation: 41-36=5
Exploring Operation: 36+28=64, Resulting Numbers: [41, 64]
Generated Node #0,3,2: 23:[41, 64] Operation: 36+28=64
Exploring Operation: 41-28=13, Resulting Numbers: [36, 13]
Generated Node #0,3,3: 23:[36, 13] Operation: 41-28=13
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 23:[28, 5], Operations: ['45-4=41', '41-36=5']
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[4, 36, 28, 45], Operations: []
Exploring Operation: 45-4=41, Resulting Numbers: [36, 28, 41]
Generated Node #0,3: 23:[36, 28, 41] Operation: 45-4=41
Moving to Node #0,3
Current State: 23:[36, 28, 41], Operations: ['45-4=41']
Exploring Operation: 41-36=5, Resulting Numbers: [28, 5]
Generated Node #0,3,1: 23:[28, 5] Operation: 41-36=5
Moving to Node #0,3,1
Current State: 23:[28, 5], Operations: ['45-4=41', '41-36=5']
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | mult_heuristic |
[
97,
17,
91,
90
] | 79 | [
"97-17=80",
"91-90=1",
"80-1=79"
] | Current State: 79:[97, 17, 91, 90], Operations: []
Exploring Operation: 97-17=80, Resulting Numbers: [91, 90, 80]
Generated Node #2: [91, 90, 80] from Operation: 97-17=80
Current State: 79:[91, 90, 80], Operations: ['97-17=80']
Exploring Operation: 91-90=1, Resulting Numbers: [80, 1]
Generated Node #3: [80, 1] from Operation: 91-90=1
Current State: 79:[80, 1], Operations: ['97-17=80', '91-90=1']
Exploring Operation: 80-1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[97, 17, 91, 90], Operations: []
Exploring Operation: 91-17=74, Resulting Numbers: [97, 90, 74]
Generated Node #0,0: 79:[97, 90, 74] Operation: 91-17=74
Exploring Operation: 97-17=80, Resulting Numbers: [91, 90, 80]
Generated Node #0,1: 79:[91, 90, 80] Operation: 97-17=80
Start Sub Search at level 1: Moving to Node #0,1
Current State: 79:[91, 90, 80], Operations: ['97-17=80']
Exploring Operation: 91-90=1, Resulting Numbers: [80, 1]
Generated Node #0,1,0: 79:[80, 1] Operation: 91-90=1
Exploring Operation: 91-80=11, Resulting Numbers: [90, 11]
Generated Node #0,1,1: 79:[90, 11] Operation: 91-80=11
Moving to Node #0,1,0
Current State: 79:[80, 1], Operations: ['97-17=80', '91-90=1']
Exploring Operation: 80*1=80, Resulting Numbers: [80]
80,79 unequal: No Solution
Exploring Operation: 80-1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[97, 17, 91, 90], Operations: []
Exploring Operation: 97-17=80, Resulting Numbers: [91, 90, 80]
Generated Node #0,1: 79:[91, 90, 80] Operation: 97-17=80
Moving to Node #0,1
Current State: 79:[91, 90, 80], Operations: ['97-17=80']
Exploring Operation: 91-90=1, Resulting Numbers: [80, 1]
Generated Node #0,1,0: 79:[80, 1] Operation: 91-90=1
Moving to Node #0,1,0
Current State: 79:[80, 1], Operations: ['97-17=80', '91-90=1']
Exploring Operation: 80-1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
17,
17,
29,
5
] | 73 | [
"29-17=12",
"17*5=85",
"85-12=73"
] | Current State: 73:[17, 17, 29, 5], Operations: []
Exploring Operation: 29-17=12, Resulting Numbers: [5, 12]
Generated Node #2: [5, 12] from Operation: 29-17=12
Current State: 73:[5, 12], Operations: ['29-17=12']
Exploring Operation: 17*5=85, Resulting Numbers: [12, 85]
Generated Node #3: [12, 85] from Operation: 17*5=85
Current State: 73:[12, 85], Operations: ['29-17=12', '17*5=85']
Exploring Operation: 85-12=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[17, 17, 29, 5], Operations: []
Exploring Operation: 17*5=85, Resulting Numbers: [17, 29, 85]
Generated Node #0,0: 73:[17, 29, 85] Operation: 17*5=85
Exploring Operation: 17*5=85, Resulting Numbers: [17, 29, 85]
Generated Node #0,1: 73:[17, 29, 85] Operation: 17*5=85
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[17, 29, 85], Operations: ['17*5=85']
Exploring Operation: 85-17=68, Resulting Numbers: [29, 68]
Generated Node #0,0,0: 73:[29, 68] Operation: 85-17=68
Exploring Operation: 17+29=46, Resulting Numbers: [85, 46]
Generated Node #0,0,1: 73:[85, 46] Operation: 17+29=46
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 73:[85, 46], Operations: ['17*5=85', '17+29=46']
Exploring Operation: 85+46=131, Resulting Numbers: [131]
131,73 unequal: No Solution
Exploring Operation: 85-46=39, Resulting Numbers: [39]
39,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 73:[29, 68], Operations: ['17*5=85', '85-17=68']
Exploring Operation: 29+68=97, Resulting Numbers: [97]
97,73 unequal: No Solution
Exploring Operation: 68-29=39, Resulting Numbers: [39]
39,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[17, 29, 85], Operations: ['17*5=85']
Exploring Operation: 17+29=46, Resulting Numbers: [85, 46]
Generated Node #0,1,0: 73:[85, 46] Operation: 17+29=46
Exploring Operation: 85-17=68, Resulting Numbers: [29, 68]
Generated Node #0,1,1: 73:[29, 68] Operation: 85-17=68
Moving to Node #0,1,0
Current State: 73:[85, 46], Operations: ['17*5=85', '17+29=46']
Exploring Operation: 85+46=131, Resulting Numbers: [131]
131,73 unequal: No Solution
Exploring Operation: 85-46=39, Resulting Numbers: [39]
39,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[29, 68], Operations: ['17*5=85', '85-17=68']
Exploring Operation: 29+68=97, Resulting Numbers: [97]
97,73 unequal: No Solution
Exploring Operation: 68-29=39, Resulting Numbers: [39]
39,73 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 |
[
86,
5,
91,
56
] | 79 | [
"91-56=35",
"35/5=7",
"86-7=79"
] | Current State: 79:[86, 5, 91, 56], Operations: []
Exploring Operation: 91-56=35, Resulting Numbers: [86, 5, 35]
Generated Node #2: [86, 5, 35] from Operation: 91-56=35
Current State: 79:[86, 5, 35], Operations: ['91-56=35']
Exploring Operation: 35/5=7, Resulting Numbers: [86, 7]
Generated Node #3: [86, 7] from Operation: 35/5=7
Current State: 79:[86, 7], Operations: ['91-56=35', '35/5=7']
Exploring Operation: 86-7=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[86, 5, 91, 56], Operations: []
Exploring Operation: 86-5=81, Resulting Numbers: [91, 56, 81]
Generated Node #0,0: 79:[91, 56, 81] Operation: 86-5=81
Exploring Operation: 91-5=86, Resulting Numbers: [86, 56, 86]
Generated Node #0,1: 79:[86, 56, 86] Operation: 91-5=86
Exploring Operation: 86+5=91, Resulting Numbers: [91, 56, 91]
Generated Node #0,2: 79:[91, 56, 91] Operation: 86+5=91
Exploring Operation: 5+56=61, Resulting Numbers: [86, 91, 61]
Generated Node #0,3: 79:[86, 91, 61] Operation: 5+56=61
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[91, 56, 81], Operations: ['86-5=81']
Exploring Operation: 91-56=35, Resulting Numbers: [81, 35]
Generated Node #0,0,0: 79:[81, 35] Operation: 91-56=35
Exploring Operation: 81-56=25, Resulting Numbers: [91, 25]
Generated Node #0,0,1: 79:[91, 25] Operation: 81-56=25
Exploring Operation: 56+81=137, Resulting Numbers: [91, 137]
Generated Node #0,0,2: 79:[91, 137] Operation: 56+81=137
Exploring Operation: 91+56=147, Resulting Numbers: [81, 147]
Generated Node #0,0,3: 79:[81, 147] Operation: 91+56=147
Moving to Node #0,0,0
Current State: 79:[81, 35], Operations: ['86-5=81', '91-56=35']
Exploring Operation: 81+35=116, Resulting Numbers: [116]
116,79 unequal: No Solution
Exploring Operation: 81-35=46, Resulting Numbers: [46]
46,79 unequal: No Solution
Exploring Operation: 81*35=2835, Resulting Numbers: [2835]
2835,79 unequal: No Solution
Moving to Node #0,0,1
Current State: 79:[91, 25], Operations: ['86-5=81', '81-56=25']
Exploring Operation: 91-25=66, Resulting Numbers: [66]
66,79 unequal: No Solution
Exploring Operation: 91*25=2275, Resulting Numbers: [2275]
2275,79 unequal: No Solution
Exploring Operation: 91+25=116, Resulting Numbers: [116]
116,79 unequal: No Solution
Moving to Node #0,0,3
Current State: 79:[81, 147], Operations: ['86-5=81', '91+56=147']
Exploring Operation: 81+147=228, Resulting Numbers: [228]
228,79 unequal: No Solution
Exploring Operation: 81*147=11907, Resulting Numbers: [11907]
11907,79 unequal: No Solution
Exploring Operation: 147-81=66, Resulting Numbers: [66]
66,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[91, 137], Operations: ['86-5=81', '56+81=137']
Exploring Operation: 137-91=46, Resulting Numbers: [46]
46,79 unequal: No Solution
Exploring Operation: 91+137=228, Resulting Numbers: [228]
228,79 unequal: No Solution
Exploring Operation: 91*137=12467, Resulting Numbers: [12467]
12467,79 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 #0,1
Current State: 79:[86, 56, 86], Operations: ['91-5=86']
Exploring Operation: 56+86=142, Resulting Numbers: [86, 142]
Generated Node #0,1,0: 79:[86, 142] Operation: 56+86=142
Exploring Operation: 86-56=30, Resulting Numbers: [86, 30]
Generated Node #0,1,1: 79:[86, 30] Operation: 86-56=30
Exploring Operation: 86-56=30, Resulting Numbers: [86, 30]
Generated Node #0,1,2: 79:[86, 30] Operation: 86-56=30
Exploring Operation: 86+56=142, Resulting Numbers: [86, 142]
Generated Node #0,1,3: 79:[86, 142] Operation: 86+56=142
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 79:[86, 30], Operations: ['91-5=86', '86-56=30']
Exploring Operation: 86-30=56, Resulting Numbers: [56]
56,79 unequal: No Solution
Exploring Operation: 86*30=2580, Resulting Numbers: [2580]
2580,79 unequal: No Solution
Exploring Operation: 86+30=116, Resulting Numbers: [116]
116,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 79:[86, 30], Operations: ['91-5=86', '86-56=30']
Exploring Operation: 86*30=2580, Resulting Numbers: [2580]
2580,79 unequal: No Solution
Exploring Operation: 86-30=56, Resulting Numbers: [56]
56,79 unequal: No Solution
Exploring Operation: 86+30=116, Resulting Numbers: [116]
116,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 79:[86, 142], Operations: ['91-5=86', '56+86=142']
Exploring Operation: 142-86=56, Resulting Numbers: [56]
56,79 unequal: No Solution
Exploring Operation: 86+142=228, Resulting Numbers: [228]
228,79 unequal: No Solution
Exploring Operation: 86*142=12212, Resulting Numbers: [12212]
12212,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 79:[86, 142], Operations: ['91-5=86', '86+56=142']
Exploring Operation: 86*142=12212, Resulting Numbers: [12212]
12212,79 unequal: No Solution
Exploring Operation: 142-86=56, Resulting Numbers: [56]
56,79 unequal: No Solution
Exploring Operation: 86+142=228, Resulting Numbers: [228]
228,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 79:[86, 91, 61], Operations: ['5+56=61']
Exploring Operation: 91+61=152, Resulting Numbers: [86, 152]
Generated Node #0,3,0: 79:[86, 152] Operation: 91+61=152
Exploring Operation: 91-61=30, Resulting Numbers: [86, 30]
Generated Node #0,3,1: 79:[86, 30] Operation: 91-61=30
Exploring Operation: 86-61=25, Resulting Numbers: [91, 25]
Generated Node #0,3,2: 79:[91, 25] Operation: 86-61=25
Exploring Operation: 86+61=147, Resulting Numbers: [91, 147]
Generated Node #0,3,3: 79:[91, 147] Operation: 86+61=147
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 79:[86, 30], Operations: ['5+56=61', '91-61=30']
Exploring Operation: 86+30=116, Resulting Numbers: [116]
116,79 unequal: No Solution
Exploring Operation: 86*30=2580, Resulting Numbers: [2580]
2580,79 unequal: No Solution
Exploring Operation: 86-30=56, Resulting Numbers: [56]
56,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 79:[91, 25], Operations: ['5+56=61', '86-61=25']
Exploring Operation: 91-25=66, Resulting Numbers: [66]
66,79 unequal: No Solution
Exploring Operation: 91+25=116, Resulting Numbers: [116]
116,79 unequal: No Solution
Exploring Operation: 91*25=2275, Resulting Numbers: [2275]
2275,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 79:[86, 152], Operations: ['5+56=61', '91+61=152']
Exploring Operation: 86+152=238, Resulting Numbers: [238]
238,79 unequal: No Solution
Exploring Operation: 152-86=66, Resulting Numbers: [66]
66,79 unequal: No Solution
Exploring Operation: 86*152=13072, Resulting Numbers: [13072]
13072,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 79:[91, 147], Operations: ['5+56=61', '86+61=147']
Exploring Operation: 91+147=238, Resulting Numbers: [238]
238,79 unequal: No Solution
Exploring Operation: 91*147=13377, Resulting Numbers: [13377]
13377,79 unequal: No Solution
Exploring Operation: 147-91=56, Resulting Numbers: [56]
56,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 79:[91, 56, 91], Operations: ['86+5=91']
Exploring Operation: 91-56=35, Resulting Numbers: [91, 35]
Generated Node #0,2,0: 79:[91, 35] Operation: 91-56=35
Exploring Operation: 91+56=147, Resulting Numbers: [91, 147]
Generated Node #0,2,1: 79:[91, 147] Operation: 91+56=147
Exploring Operation: 91-56=35, Resulting Numbers: [91, 35]
Generated Node #0,2,2: 79:[91, 35] Operation: 91-56=35
Exploring Operation: 56+91=147, Resulting Numbers: [91, 147]
Generated Node #0,2,3: 79:[91, 147] Operation: 56+91=147
Moving to Node #0,2,0
Current State: 79:[91, 35], Operations: ['86+5=91', '91-56=35']
Exploring Operation: 91*35=3185, Resulting Numbers: [3185]
3185,79 unequal: No Solution
Exploring Operation: 91+35=126, Resulting Numbers: [126]
126,79 unequal: No Solution
Exploring Operation: 91-35=56, Resulting Numbers: [56]
56,79 unequal: No Solution
Moving to Node #0,2,2
Current State: 79:[91, 35], Operations: ['86+5=91', '91-56=35']
Exploring Operation: 91+35=126, Resulting Numbers: [126]
126,79 unequal: No Solution
Exploring Operation: 91*35=3185, Resulting Numbers: [3185]
3185,79 unequal: No Solution
Exploring Operation: 91-35=56, Resulting Numbers: [56]
56,79 unequal: No Solution
Moving to Node #0,2,3
Current State: 79:[91, 147], Operations: ['86+5=91', '56+91=147']
Exploring Operation: 147-91=56, Resulting Numbers: [56]
56,79 unequal: No Solution
Exploring Operation: 91+147=238, Resulting Numbers: [238]
238,79 unequal: No Solution
Exploring Operation: 91*147=13377, Resulting Numbers: [13377]
13377,79 unequal: No Solution
Moving to Node #0,2,1
Current State: 79:[91, 147], Operations: ['86+5=91', '91+56=147']
Exploring Operation: 147-91=56, Resulting Numbers: [56]
56,79 unequal: No Solution
Exploring Operation: 91*147=13377, Resulting Numbers: [13377]
13377,79 unequal: No Solution
Exploring Operation: 91+147=238, Resulting Numbers: [238]
238,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
75,
3,
3,
2
] | 82 | [
"75-2=73",
"3*3=9",
"73+9=82"
] | Current State: 82:[75, 3, 3, 2], Operations: []
Exploring Operation: 75-2=73, Resulting Numbers: [3, 3, 73]
Generated Node #2: [3, 3, 73] from Operation: 75-2=73
Current State: 82:[3, 3, 73], Operations: ['75-2=73']
Exploring Operation: 3*3=9, Resulting Numbers: [73, 9]
Generated Node #3: [73, 9] from Operation: 3*3=9
Current State: 82:[73, 9], Operations: ['75-2=73', '3*3=9']
Exploring Operation: 73+9=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[75, 3, 3, 2], Operations: []
Exploring Operation: 75+3=78, Resulting Numbers: [3, 2, 78]
Generated Node #0,0: 82:[3, 2, 78] Operation: 75+3=78
Exploring Operation: 75+2=77, Resulting Numbers: [3, 3, 77]
Generated Node #0,1: 82:[3, 3, 77] Operation: 75+2=77
Exploring Operation: 75+3=78, Resulting Numbers: [3, 2, 78]
Generated Node #0,2: 82:[3, 2, 78] Operation: 75+3=78
Moving to Node #0,0
Current State: 82:[3, 2, 78], Operations: ['75+3=78']
Exploring Operation: 2+78=80, Resulting Numbers: [3, 80]
Generated Node #0,0,0: 82:[3, 80] Operation: 2+78=80
Exploring Operation: 78/2=39, Resulting Numbers: [3, 39]
Generated Node #0,0,1: 82:[3, 39] Operation: 78/2=39
Exploring Operation: 3+78=81, Resulting Numbers: [2, 81]
Generated Node #0,0,2: 82:[2, 81] Operation: 3+78=81
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 82:[2, 81], Operations: ['75+3=78', '3+78=81']
Exploring Operation: 2*81=162, Resulting Numbers: [162]
162,82 unequal: No Solution
Exploring Operation: 2+81=83, Resulting Numbers: [83]
83,82 unequal: No Solution
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 82:[3, 80], Operations: ['75+3=78', '2+78=80']
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,82 unequal: No Solution
Exploring Operation: 3*80=240, Resulting Numbers: [240]
240,82 unequal: No Solution
Exploring Operation: 3+80=83, Resulting Numbers: [83]
83,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 82:[3, 39], Operations: ['75+3=78', '78/2=39']
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,82 unequal: No Solution
Exploring Operation: 3+39=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,82 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: 82:[3, 2, 78], Operations: ['75+3=78']
Exploring Operation: 3+78=81, Resulting Numbers: [2, 81]
Generated Node #0,2,0: 82:[2, 81] Operation: 3+78=81
Exploring Operation: 78/2=39, Resulting Numbers: [3, 39]
Generated Node #0,2,1: 82:[3, 39] Operation: 78/2=39
Exploring Operation: 2+78=80, Resulting Numbers: [3, 80]
Generated Node #0,2,2: 82:[3, 80] Operation: 2+78=80
Moving to Node #0,1
Current State: 82:[3, 3, 77], Operations: ['75+2=77']
Exploring Operation: 3+77=80, Resulting Numbers: [3, 80]
Generated Node #0,1,0: 82:[3, 80] Operation: 3+77=80
Exploring Operation: 3+77=80, Resulting Numbers: [3, 80]
Generated Node #0,1,1: 82:[3, 80] Operation: 3+77=80
Exploring Operation: 3/3=1, Resulting Numbers: [77, 1]
Generated Node #0,1,2: 82:[77, 1] Operation: 3/3=1
Moving to Node #0,2,0
Current State: 82:[2, 81], Operations: ['75+3=78', '3+78=81']
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,82 unequal: No Solution
Exploring Operation: 2*81=162, Resulting Numbers: [162]
162,82 unequal: No Solution
Exploring Operation: 2+81=83, Resulting Numbers: [83]
83,82 unequal: No Solution
Moving to Node #0,2,2
Current State: 82:[3, 80], Operations: ['75+3=78', '2+78=80']
Exploring Operation: 3+80=83, Resulting Numbers: [83]
83,82 unequal: No Solution
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,82 unequal: No Solution
Exploring Operation: 3*80=240, Resulting Numbers: [240]
240,82 unequal: No Solution
Moving to Node #0,2,1
Current State: 82:[3, 39], Operations: ['75+3=78', '78/2=39']
Exploring Operation: 3+39=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,82 unequal: No Solution
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,82 unequal: No Solution
Moving to Node #0,1,0
Current State: 82:[3, 80], Operations: ['75+2=77', '3+77=80']
Exploring Operation: 3*80=240, Resulting Numbers: [240]
240,82 unequal: No Solution
Exploring Operation: 3+80=83, Resulting Numbers: [83]
83,82 unequal: No Solution
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,82 unequal: No Solution
Moving to Node #0,1,1
Current State: 82:[3, 80], Operations: ['75+2=77', '3+77=80']
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,82 unequal: No Solution
Exploring Operation: 3*80=240, Resulting Numbers: [240]
240,82 unequal: No Solution
Exploring Operation: 3+80=83, Resulting Numbers: [83]
83,82 unequal: No Solution
Moving to Node #0,1,2
Current State: 82:[77, 1], Operations: ['75+2=77', '3/3=1']
Exploring Operation: 77/1=77, Resulting Numbers: [77]
77,82 unequal: No Solution
Exploring Operation: 77*1=77, Resulting Numbers: [77]
77,82 unequal: No Solution
Exploring Operation: 77+1=78, Resulting Numbers: [78]
78,82 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
19,
36,
13,
59
] | 17 | [
"19+36=55",
"13+59=72",
"72-55=17"
] | Current State: 17:[19, 36, 13, 59], Operations: []
Exploring Operation: 19+36=55, Resulting Numbers: [13, 59, 55]
Generated Node #2: [13, 59, 55] from Operation: 19+36=55
Current State: 17:[13, 59, 55], Operations: ['19+36=55']
Exploring Operation: 13+59=72, Resulting Numbers: [55, 72]
Generated Node #3: [55, 72] from Operation: 13+59=72
Current State: 17:[55, 72], Operations: ['19+36=55', '13+59=72']
Exploring Operation: 72-55=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[19, 36, 13, 59], Operations: []
Exploring Operation: 36-19=17, Resulting Numbers: [13, 59, 17]
Generated Node #0,0: 17:[13, 59, 17] Operation: 36-19=17
Exploring Operation: 59-19=40, Resulting Numbers: [36, 13, 40]
Generated Node #0,1: 17:[36, 13, 40] Operation: 59-19=40
Exploring Operation: 59-36=23, Resulting Numbers: [19, 13, 23]
Generated Node #0,2: 17:[19, 13, 23] Operation: 59-36=23
Exploring Operation: 36-13=23, Resulting Numbers: [19, 59, 23]
Generated Node #0,3: 17:[19, 59, 23] Operation: 36-13=23
Start Sub Search at level 1: Moving to Node #0,2
Current State: 17:[19, 13, 23], Operations: ['59-36=23']
Exploring Operation: 19+13=32, Resulting Numbers: [23, 32]
Generated Node #0,2,0: 17:[23, 32] Operation: 19+13=32
Exploring Operation: 23-19=4, Resulting Numbers: [13, 4]
Generated Node #0,2,1: 17:[13, 4] Operation: 23-19=4
Exploring Operation: 23-13=10, Resulting Numbers: [19, 10]
Generated Node #0,2,2: 17:[19, 10] Operation: 23-13=10
Exploring Operation: 19-13=6, Resulting Numbers: [23, 6]
Generated Node #0,2,3: 17:[23, 6] Operation: 19-13=6
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 17:[19, 10], Operations: ['59-36=23', '23-13=10']
Exploring Operation: 19*10=190, Resulting Numbers: [190]
190,17 unequal: No Solution
Exploring Operation: 19+10=29, Resulting Numbers: [29]
29,17 unequal: No Solution
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 17:[13, 4], Operations: ['59-36=23', '23-19=4']
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,17 unequal: No Solution
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,17 unequal: No Solution
Exploring Operation: 13+4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[19, 36, 13, 59], Operations: []
Exploring Operation: 59-36=23, Resulting Numbers: [19, 13, 23]
Generated Node #0,2: 17:[19, 13, 23] Operation: 59-36=23
Moving to Node #0,2
Current State: 17:[19, 13, 23], Operations: ['59-36=23']
Exploring Operation: 23-19=4, Resulting Numbers: [13, 4]
Generated Node #0,2,1: 17:[13, 4] Operation: 23-19=4
Moving to Node #0,2,1
Current State: 17:[13, 4], Operations: ['59-36=23', '23-19=4']
Exploring Operation: 13+4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_4 | mult_heuristic |
[
85,
94,
60,
2
] | 71 | [
"94-85=9",
"60+2=62",
"9+62=71"
] | Current State: 71:[85, 94, 60, 2], Operations: []
Exploring Operation: 94-85=9, Resulting Numbers: [60, 2, 9]
Generated Node #2: [60, 2, 9] from Operation: 94-85=9
Current State: 71:[60, 2, 9], Operations: ['94-85=9']
Exploring Operation: 60+2=62, Resulting Numbers: [9, 62]
Generated Node #3: [9, 62] from Operation: 60+2=62
Current State: 71:[9, 62], Operations: ['94-85=9', '60+2=62']
Exploring Operation: 9+62=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[85, 94, 60, 2], Operations: []
Exploring Operation: 60+2=62, Resulting Numbers: [85, 94, 62]
Generated Node #0,0: 71:[85, 94, 62] Operation: 60+2=62
Exploring Operation: 85-2=83, Resulting Numbers: [94, 60, 83]
Generated Node #0,1: 71:[94, 60, 83] Operation: 85-2=83
Exploring Operation: 94-2=92, Resulting Numbers: [85, 60, 92]
Generated Node #0,2: 71:[85, 60, 92] Operation: 94-2=92
Moving to Node #0,0
Current State: 71:[85, 94, 62], Operations: ['60+2=62']
Exploring Operation: 85-62=23, Resulting Numbers: [94, 23]
Generated Node #0,0,0: 71:[94, 23] Operation: 85-62=23
Exploring Operation: 94-62=32, Resulting Numbers: [85, 32]
Generated Node #0,0,1: 71:[85, 32] Operation: 94-62=32
Exploring Operation: 94-85=9, Resulting Numbers: [62, 9]
Generated Node #0,0,2: 71:[62, 9] Operation: 94-85=9
Moving to Node #0,1
Current State: 71:[94, 60, 83], Operations: ['85-2=83']
Exploring Operation: 94-60=34, Resulting Numbers: [83, 34]
Generated Node #0,1,0: 71:[83, 34] Operation: 94-60=34
Exploring Operation: 83-60=23, Resulting Numbers: [94, 23]
Generated Node #0,1,1: 71:[94, 23] Operation: 83-60=23
Exploring Operation: 94-83=11, Resulting Numbers: [60, 11]
Generated Node #0,1,2: 71:[60, 11] Operation: 94-83=11
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 71:[83, 34], Operations: ['85-2=83', '94-60=34']
Exploring Operation: 83*34=2822, Resulting Numbers: [2822]
2822,71 unequal: No Solution
Exploring Operation: 83+34=117, Resulting Numbers: [117]
117,71 unequal: No Solution
Exploring Operation: 83-34=49, Resulting Numbers: [49]
49,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 71:[94, 23], Operations: ['85-2=83', '83-60=23']
Exploring Operation: 94*23=2162, Resulting Numbers: [2162]
2162,71 unequal: No Solution
Exploring Operation: 94+23=117, Resulting Numbers: [117]
117,71 unequal: No Solution
Exploring Operation: 94-23=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[85, 94, 60, 2], Operations: []
Exploring Operation: 85-2=83, Resulting Numbers: [94, 60, 83]
Generated Node #0,1: 71:[94, 60, 83] Operation: 85-2=83
Moving to Node #0,1
Current State: 71:[94, 60, 83], Operations: ['85-2=83']
Exploring Operation: 83-60=23, Resulting Numbers: [94, 23]
Generated Node #0,1,1: 71:[94, 23] Operation: 83-60=23
Moving to Node #0,1,1
Current State: 71:[94, 23], Operations: ['85-2=83', '83-60=23']
Exploring Operation: 94-23=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_3 | sum_heuristic |
[
92,
23,
86,
92
] | 23 | [
"92-92=0",
"86*0=0",
"23+0=23"
] | Current State: 23:[92, 23, 86, 92], Operations: []
Exploring Operation: 92-92=0, Resulting Numbers: [23, 86, 0]
Generated Node #2: [23, 86, 0] from Operation: 92-92=0
Current State: 23:[23, 86, 0], Operations: ['92-92=0']
Exploring Operation: 86*0=0, Resulting Numbers: [23, 0]
Generated Node #3: [23, 0] from Operation: 86*0=0
Current State: 23:[23, 0], Operations: ['92-92=0', '86*0=0']
Exploring Operation: 23+0=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[92, 23, 86, 92], Operations: []
Exploring Operation: 92-86=6, Resulting Numbers: [92, 23, 6]
Generated Node #0,0: 23:[92, 23, 6] Operation: 92-86=6
Exploring Operation: 92-92=0, Resulting Numbers: [23, 86, 0]
Generated Node #0,1: 23:[23, 86, 0] Operation: 92-92=0
Exploring Operation: 92-86=6, Resulting Numbers: [23, 92, 6]
Generated Node #0,2: 23:[23, 92, 6] Operation: 92-86=6
Exploring Operation: 92/23=4, Resulting Numbers: [86, 92, 4]
Generated Node #0,3: 23:[86, 92, 4] Operation: 92/23=4
Exploring Operation: 92/92=1, Resulting Numbers: [23, 86, 1]
Generated Node #0,4: 23:[23, 86, 1] Operation: 92/92=1
Moving to Node #0,4
Current State: 23:[23, 86, 1], Operations: ['92/92=1']
Exploring Operation: 86-23=63, Resulting Numbers: [1, 63]
Generated Node #0,4,0: 23:[1, 63] Operation: 86-23=63
Exploring Operation: 23/1=23, Resulting Numbers: [86, 23]
Generated Node #0,4,1: 23:[86, 23] Operation: 23/1=23
Exploring Operation: 23*1=23, Resulting Numbers: [86, 23]
Generated Node #0,4,2: 23:[86, 23] Operation: 23*1=23
Exploring Operation: 86-1=85, Resulting Numbers: [23, 85]
Generated Node #0,4,3: 23:[23, 85] Operation: 86-1=85
Exploring Operation: 86*1=86, Resulting Numbers: [23, 86]
Generated Node #0,4,4: 23:[23, 86] Operation: 86*1=86
Moving to Node #0,1
Current State: 23:[23, 86, 0], Operations: ['92-92=0']
Exploring Operation: 23+0=23, Resulting Numbers: [86, 23]
Generated Node #0,1,0: 23:[86, 23] Operation: 23+0=23
Exploring Operation: 86-23=63, Resulting Numbers: [0, 63]
Generated Node #0,1,1: 23:[0, 63] Operation: 86-23=63
Exploring Operation: 23-0=23, Resulting Numbers: [86, 23]
Generated Node #0,1,2: 23:[86, 23] Operation: 23-0=23
Exploring Operation: 86+0=86, Resulting Numbers: [23, 86]
Generated Node #0,1,3: 23:[23, 86] Operation: 86+0=86
Exploring Operation: 86*0=0, Resulting Numbers: [23, 0]
Generated Node #0,1,4: 23:[23, 0] Operation: 86*0=0
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 23:[23, 0], Operations: ['92-92=0', '86*0=0']
Exploring Operation: 23+0=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[92, 23, 86, 92], Operations: []
Exploring Operation: 92-92=0, Resulting Numbers: [23, 86, 0]
Generated Node #0,1: 23:[23, 86, 0] Operation: 92-92=0
Moving to Node #0,1
Current State: 23:[23, 86, 0], Operations: ['92-92=0']
Exploring Operation: 86*0=0, Resulting Numbers: [23, 0]
Generated Node #0,1,4: 23:[23, 0] Operation: 86*0=0
Moving to Node #0,1,4
Current State: 23:[23, 0], Operations: ['92-92=0', '86*0=0']
Exploring Operation: 23+0=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | sum_heuristic |
[
26,
7,
22,
56
] | 97 | [
"26-7=19",
"22+56=78",
"19+78=97"
] | Current State: 97:[26, 7, 22, 56], Operations: []
Exploring Operation: 26-7=19, Resulting Numbers: [22, 56, 19]
Generated Node #2: [22, 56, 19] from Operation: 26-7=19
Current State: 97:[22, 56, 19], Operations: ['26-7=19']
Exploring Operation: 22+56=78, Resulting Numbers: [19, 78]
Generated Node #3: [19, 78] from Operation: 22+56=78
Current State: 97:[19, 78], Operations: ['26-7=19', '22+56=78']
Exploring Operation: 19+78=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[26, 7, 22, 56], Operations: []
Exploring Operation: 7*22=154, Resulting Numbers: [26, 56, 154]
Generated Node #0,0: 97:[26, 56, 154] Operation: 7*22=154
Moving to Node #0,0
Current State: 97:[26, 56, 154], Operations: ['7*22=154']
Exploring Operation: 26+56=82, Resulting Numbers: [154, 82]
Generated Node #0,0,0: 97:[154, 82] Operation: 26+56=82
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 97:[154, 82], Operations: ['7*22=154', '26+56=82']
Exploring Operation: 154-82=72, Resulting Numbers: [72]
72,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
39,
3,
8,
47
] | 94 | [
"39+8=47",
"3*47=141",
"141-47=94"
] | Current State: 94:[39, 3, 8, 47], Operations: []
Exploring Operation: 39+8=47, Resulting Numbers: [3, 47, 47]
Generated Node #2: [3, 47, 47] from Operation: 39+8=47
Current State: 94:[3, 47, 47], Operations: ['39+8=47']
Exploring Operation: 3*47=141, Resulting Numbers: [141]
141,94 equal: Goal Reached
Exploring Operation: 141-47=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[39, 3, 8, 47], Operations: []
Exploring Operation: 39+8=47, Resulting Numbers: [3, 47, 47]
Generated Node #0,0: 94:[3, 47, 47] Operation: 39+8=47
Moving to Node #0,0
Current State: 94:[3, 47, 47], Operations: ['39+8=47']
Exploring Operation: 47+47=94, Resulting Numbers: [3, 94]
Generated Node #0,0,0: 94:[3, 94] Operation: 47+47=94
Moving to Node #0,0,0
Current State: 94:[3, 94], Operations: ['39+8=47', '47+47=94']
Exploring Operation: 3+94=97, Resulting Numbers: [97]
97,94 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
33,
30,
38,
35
] | 76 | [
"33-30=3",
"38+35=73",
"3+73=76"
] | Current State: 76:[33, 30, 38, 35], Operations: []
Exploring Operation: 33-30=3, Resulting Numbers: [38, 35, 3]
Generated Node #2: [38, 35, 3] from Operation: 33-30=3
Current State: 76:[38, 35, 3], Operations: ['33-30=3']
Exploring Operation: 38+35=73, Resulting Numbers: [3, 73]
Generated Node #3: [3, 73] from Operation: 38+35=73
Current State: 76:[3, 73], Operations: ['33-30=3', '38+35=73']
Exploring Operation: 3+73=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[33, 30, 38, 35], Operations: []
Exploring Operation: 33-30=3, Resulting Numbers: [38, 35, 3]
Generated Node #0,0: 76:[38, 35, 3] Operation: 33-30=3
Exploring Operation: 38-33=5, Resulting Numbers: [30, 35, 5]
Generated Node #0,1: 76:[30, 35, 5] Operation: 38-33=5
Exploring Operation: 35-30=5, Resulting Numbers: [33, 38, 5]
Generated Node #0,2: 76:[33, 38, 5] Operation: 35-30=5
Exploring Operation: 35-33=2, Resulting Numbers: [30, 38, 2]
Generated Node #0,3: 76:[30, 38, 2] Operation: 35-33=2
Moving to Node #0,0
Current State: 76:[38, 35, 3], Operations: ['33-30=3']
Exploring Operation: 38+35=73, Resulting Numbers: [3, 73]
Generated Node #0,0,0: 76:[3, 73] Operation: 38+35=73
Exploring Operation: 38-35=3, Resulting Numbers: [3, 3]
Generated Node #0,0,1: 76:[3, 3] Operation: 38-35=3
Exploring Operation: 35+3=38, Resulting Numbers: [38, 38]
Generated Node #0,0,2: 76:[38, 38] Operation: 35+3=38
Exploring Operation: 38+3=41, Resulting Numbers: [35, 41]
Generated Node #0,0,3: 76:[35, 41] Operation: 38+3=41
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 76:[38, 38], Operations: ['33-30=3', '35+3=38']
Exploring Operation: 38/38=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 38-38=0, Resulting Numbers: [0]
0,76 unequal: No Solution
Exploring Operation: 38+38=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[33, 30, 38, 35], Operations: []
Exploring Operation: 33-30=3, Resulting Numbers: [38, 35, 3]
Generated Node #0,0: 76:[38, 35, 3] Operation: 33-30=3
Moving to Node #0,0
Current State: 76:[38, 35, 3], Operations: ['33-30=3']
Exploring Operation: 35+3=38, Resulting Numbers: [38, 38]
Generated Node #0,0,2: 76:[38, 38] Operation: 35+3=38
Moving to Node #0,0,2
Current State: 76:[38, 38], Operations: ['33-30=3', '35+3=38']
Exploring Operation: 38+38=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
48,
16,
57,
77
] | 52 | [
"48-16=32",
"77-57=20",
"32+20=52"
] | Current State: 52:[48, 16, 57, 77], Operations: []
Exploring Operation: 48-16=32, Resulting Numbers: [57, 77, 32]
Generated Node #2: [57, 77, 32] from Operation: 48-16=32
Current State: 52:[57, 77, 32], Operations: ['48-16=32']
Exploring Operation: 77-57=20, Resulting Numbers: [32, 20]
Generated Node #3: [32, 20] from Operation: 77-57=20
Current State: 52:[32, 20], Operations: ['48-16=32', '77-57=20']
Exploring Operation: 32+20=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[48, 16, 57, 77], Operations: []
Exploring Operation: 57-48=9, Resulting Numbers: [16, 77, 9]
Generated Node #0,0: 52:[16, 77, 9] Operation: 57-48=9
Exploring Operation: 77-57=20, Resulting Numbers: [48, 16, 20]
Generated Node #0,1: 52:[48, 16, 20] Operation: 77-57=20
Exploring Operation: 77-48=29, Resulting Numbers: [16, 57, 29]
Generated Node #0,2: 52:[16, 57, 29] Operation: 77-48=29
Exploring Operation: 77-16=61, Resulting Numbers: [48, 57, 61]
Generated Node #0,3: 52:[48, 57, 61] Operation: 77-16=61
Exploring Operation: 48/16=3, Resulting Numbers: [57, 77, 3]
Generated Node #0,4: 52:[57, 77, 3] Operation: 48/16=3
Start Sub Search at level 1: Moving to Node #0,2
Current State: 52:[16, 57, 29], Operations: ['77-48=29']
Exploring Operation: 29-16=13, Resulting Numbers: [57, 13]
Generated Node #0,2,0: 52:[57, 13] Operation: 29-16=13
Exploring Operation: 16+29=45, Resulting Numbers: [57, 45]
Generated Node #0,2,1: 52:[57, 45] Operation: 16+29=45
Exploring Operation: 16+57=73, Resulting Numbers: [29, 73]
Generated Node #0,2,2: 52:[29, 73] Operation: 16+57=73
Exploring Operation: 57-29=28, Resulting Numbers: [16, 28]
Generated Node #0,2,3: 52:[16, 28] Operation: 57-29=28
Exploring Operation: 57-16=41, Resulting Numbers: [29, 41]
Generated Node #0,2,4: 52:[29, 41] Operation: 57-16=41
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 52:[57, 13], Operations: ['77-48=29', '29-16=13']
Exploring Operation: 57+13=70, Resulting Numbers: [70]
70,52 unequal: No Solution
Exploring Operation: 57*13=741, Resulting Numbers: [741]
741,52 unequal: No Solution
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,52 unequal: No Solution
No 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: 52:[16, 28], Operations: ['77-48=29', '57-29=28']
Exploring Operation: 16*28=448, Resulting Numbers: [448]
448,52 unequal: No Solution
Exploring Operation: 16+28=44, Resulting Numbers: [44]
44,52 unequal: No Solution
Exploring Operation: 28-16=12, Resulting Numbers: [12]
12,52 unequal: No Solution
No 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: 52:[57, 45], Operations: ['77-48=29', '16+29=45']
Exploring Operation: 57-45=12, Resulting Numbers: [12]
12,52 unequal: No Solution
Exploring Operation: 57*45=2565, Resulting Numbers: [2565]
2565,52 unequal: No Solution
Exploring Operation: 57+45=102, Resulting Numbers: [102]
102,52 unequal: No Solution
No 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: 52:[29, 41], Operations: ['77-48=29', '57-16=41']
Exploring Operation: 41-29=12, Resulting Numbers: [12]
12,52 unequal: No Solution
Exploring Operation: 29*41=1189, Resulting Numbers: [1189]
1189,52 unequal: No Solution
Exploring Operation: 29+41=70, Resulting Numbers: [70]
70,52 unequal: No Solution
No 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: 52:[29, 73], Operations: ['77-48=29', '16+57=73']
Exploring Operation: 29+73=102, Resulting Numbers: [102]
102,52 unequal: No Solution
Exploring Operation: 29*73=2117, Resulting Numbers: [2117]
2117,52 unequal: No Solution
Exploring Operation: 73-29=44, Resulting Numbers: [44]
44,52 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: 52:[48, 16, 20], Operations: ['77-57=20']
Exploring Operation: 48/16=3, Resulting Numbers: [20, 3]
Generated Node #0,1,0: 52:[20, 3] Operation: 48/16=3
Exploring Operation: 20-16=4, Resulting Numbers: [48, 4]
Generated Node #0,1,1: 52:[48, 4] Operation: 20-16=4
Exploring Operation: 48-20=28, Resulting Numbers: [16, 28]
Generated Node #0,1,2: 52:[16, 28] Operation: 48-20=28
Exploring Operation: 48-16=32, Resulting Numbers: [20, 32]
Generated Node #0,1,3: 52:[20, 32] Operation: 48-16=32
Exploring Operation: 16+20=36, Resulting Numbers: [48, 36]
Generated Node #0,1,4: 52:[48, 36] Operation: 16+20=36
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 52:[48, 4], Operations: ['77-57=20', '20-16=4']
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,52 unequal: No Solution
Exploring Operation: 48*4=192, Resulting Numbers: [192]
192,52 unequal: No Solution
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,52 unequal: No Solution
Exploring Operation: 48+4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[48, 16, 57, 77], Operations: []
Exploring Operation: 77-57=20, Resulting Numbers: [48, 16, 20]
Generated Node #0,1: 52:[48, 16, 20] Operation: 77-57=20
Moving to Node #0,1
Current State: 52:[48, 16, 20], Operations: ['77-57=20']
Exploring Operation: 20-16=4, Resulting Numbers: [48, 4]
Generated Node #0,1,1: 52:[48, 4] Operation: 20-16=4
Moving to Node #0,1,1
Current State: 52:[48, 4], Operations: ['77-57=20', '20-16=4']
Exploring Operation: 48+4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967014 | hs_5 | mult_heuristic |
[
6,
49,
87,
33
] | 62 | [
"6*33=198",
"49+87=136",
"198-136=62"
] | Current State: 62:[6, 49, 87, 33], Operations: []
Exploring Operation: 6*33=198, Resulting Numbers: [49, 87, 198]
Generated Node #2: [49, 87, 198] from Operation: 6*33=198
Current State: 62:[49, 87, 198], Operations: ['6*33=198']
Exploring Operation: 49+87=136, Resulting Numbers: [198, 136]
Generated Node #3: [198, 136] from Operation: 49+87=136
Current State: 62:[198, 136], Operations: ['6*33=198', '49+87=136']
Exploring Operation: 198-136=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[6, 49, 87, 33], Operations: []
Exploring Operation: 87-33=54, Resulting Numbers: [6, 49, 54]
Generated Node #0,0: 62:[6, 49, 54] Operation: 87-33=54
Exploring Operation: 87-49=38, Resulting Numbers: [6, 33, 38]
Generated Node #0,1: 62:[6, 33, 38] Operation: 87-49=38
Moving to Node #0,1
Current State: 62:[6, 33, 38], Operations: ['87-49=38']
Exploring Operation: 38-33=5, Resulting Numbers: [6, 5]
Generated Node #0,1,0: 62:[6, 5] Operation: 38-33=5
Exploring Operation: 38-6=32, Resulting Numbers: [33, 32]
Generated Node #0,1,1: 62:[33, 32] Operation: 38-6=32
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 62:[33, 32], Operations: ['87-49=38', '38-6=32']
Exploring Operation: 33-32=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Exploring Operation: 33+32=65, Resulting Numbers: [65]
65,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 62:[6, 5], Operations: ['87-49=38', '38-33=5']
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 62:[6, 49, 54], Operations: ['87-33=54']
Exploring Operation: 6+49=55, Resulting Numbers: [54, 55]
Generated Node #0,0,0: 62:[54, 55] Operation: 6+49=55
Exploring Operation: 54-49=5, Resulting Numbers: [6, 5]
Generated Node #0,0,1: 62:[6, 5] Operation: 54-49=5
Moving to Node #0,0,1
Current State: 62:[6, 5], Operations: ['87-33=54', '54-49=5']
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,62 unequal: No Solution
Moving to Node #0,0,0
Current State: 62:[54, 55], Operations: ['87-33=54', '6+49=55']
Exploring Operation: 55-54=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Exploring Operation: 54+55=109, Resulting Numbers: [109]
109,62 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
12,
28,
76,
17
] | 64 | [
"17-12=5",
"28*5=140",
"140-76=64"
] | Current State: 64:[12, 28, 76, 17], Operations: []
Exploring Operation: 17-12=5, Resulting Numbers: [28, 76, 5]
Generated Node #2: [28, 76, 5] from Operation: 17-12=5
Current State: 64:[28, 76, 5], Operations: ['17-12=5']
Exploring Operation: 28*5=140, Resulting Numbers: [76, 140]
Generated Node #3: [76, 140] from Operation: 28*5=140
Current State: 64:[76, 140], Operations: ['17-12=5', '28*5=140']
Exploring Operation: 140-76=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[12, 28, 76, 17], Operations: []
Exploring Operation: 28-12=16, Resulting Numbers: [76, 17, 16]
Generated Node #0,0: 64:[76, 17, 16] Operation: 28-12=16
Exploring Operation: 76-12=64, Resulting Numbers: [28, 17, 64]
Generated Node #0,1: 64:[28, 17, 64] Operation: 76-12=64
Moving to Node #0,1
Current State: 64:[28, 17, 64], Operations: ['76-12=64']
Exploring Operation: 64-28=36, Resulting Numbers: [17, 36]
Generated Node #0,1,0: 64:[17, 36] Operation: 64-28=36
Exploring Operation: 28-17=11, Resulting Numbers: [64, 11]
Generated Node #0,1,1: 64:[64, 11] Operation: 28-17=11
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 64:[64, 11], Operations: ['76-12=64', '28-17=11']
Exploring Operation: 64+11=75, Resulting Numbers: [75]
75,64 unequal: No Solution
Exploring Operation: 64-11=53, Resulting Numbers: [53]
53,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 64:[17, 36], Operations: ['76-12=64', '64-28=36']
Exploring Operation: 17+36=53, Resulting Numbers: [53]
53,64 unequal: No Solution
Exploring Operation: 36-17=19, Resulting Numbers: [19]
19,64 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: 64:[76, 17, 16], Operations: ['28-12=16']
Exploring Operation: 76-16=60, Resulting Numbers: [17, 60]
Generated Node #0,0,0: 64:[17, 60] Operation: 76-16=60
Exploring Operation: 76-17=59, Resulting Numbers: [16, 59]
Generated Node #0,0,1: 64:[16, 59] Operation: 76-17=59
Moving to Node #0,0,0
Current State: 64:[17, 60], Operations: ['28-12=16', '76-16=60']
Exploring Operation: 60-17=43, Resulting Numbers: [43]
43,64 unequal: No Solution
Exploring Operation: 17+60=77, Resulting Numbers: [77]
77,64 unequal: No Solution
Moving to Node #0,0,1
Current State: 64:[16, 59], Operations: ['28-12=16', '76-17=59']
Exploring Operation: 16+59=75, Resulting Numbers: [75]
75,64 unequal: No Solution
Exploring Operation: 59-16=43, Resulting Numbers: [43]
43,64 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
10,
36,
7,
33
] | 20 | [
"10+36=46",
"33-7=26",
"46-26=20"
] | Current State: 20:[10, 36, 7, 33], Operations: []
Exploring Operation: 10+36=46, Resulting Numbers: [7, 33, 46]
Generated Node #2: [7, 33, 46] from Operation: 10+36=46
Current State: 20:[7, 33, 46], Operations: ['10+36=46']
Exploring Operation: 33-7=26, Resulting Numbers: [46, 26]
Generated Node #3: [46, 26] from Operation: 33-7=26
Current State: 20:[46, 26], Operations: ['10+36=46', '33-7=26']
Exploring Operation: 46-26=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[10, 36, 7, 33], Operations: []
Exploring Operation: 36-7=29, Resulting Numbers: [10, 33, 29]
Generated Node #0,0: 20:[10, 33, 29] Operation: 36-7=29
Exploring Operation: 36-10=26, Resulting Numbers: [7, 33, 26]
Generated Node #0,1: 20:[7, 33, 26] Operation: 36-10=26
Exploring Operation: 33-10=23, Resulting Numbers: [36, 7, 23]
Generated Node #0,2: 20:[36, 7, 23] Operation: 33-10=23
Exploring Operation: 36-33=3, Resulting Numbers: [10, 7, 3]
Generated Node #0,3: 20:[10, 7, 3] Operation: 36-33=3
Moving to Node #0,3
Current State: 20:[10, 7, 3], Operations: ['36-33=3']
Exploring Operation: 7*3=21, Resulting Numbers: [10, 21]
Generated Node #0,3,0: 20:[10, 21] Operation: 7*3=21
Exploring Operation: 10-7=3, Resulting Numbers: [3, 3]
Generated Node #0,3,1: 20:[3, 3] Operation: 10-7=3
Exploring Operation: 7-3=4, Resulting Numbers: [10, 4]
Generated Node #0,3,2: 20:[10, 4] Operation: 7-3=4
Exploring Operation: 7+3=10, Resulting Numbers: [10, 10]
Generated Node #0,3,3: 20:[10, 10] Operation: 7+3=10
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 20:[10, 4], Operations: ['36-33=3', '7-3=4']
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,20 unequal: No Solution
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,20 unequal: No Solution
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 20:[10, 10], Operations: ['36-33=3', '7+3=10']
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[10, 36, 7, 33], Operations: []
Exploring Operation: 36-33=3, Resulting Numbers: [10, 7, 3]
Generated Node #0,3: 20:[10, 7, 3] Operation: 36-33=3
Moving to Node #0,3
Current State: 20:[10, 7, 3], Operations: ['36-33=3']
Exploring Operation: 7+3=10, Resulting Numbers: [10, 10]
Generated Node #0,3,3: 20:[10, 10] Operation: 7+3=10
Moving to Node #0,3,3
Current State: 20:[10, 10], Operations: ['36-33=3', '7+3=10']
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
40,
59,
76,
20
] | 34 | [
"40/20=2",
"76-59=17",
"2*17=34"
] | Current State: 34:[40, 59, 76, 20], Operations: []
Exploring Operation: 40/20=2, Resulting Numbers: [59, 76, 2]
Generated Node #2: [59, 76, 2] from Operation: 40/20=2
Current State: 34:[59, 76, 2], Operations: ['40/20=2']
Exploring Operation: 76-59=17, Resulting Numbers: [2, 17]
Generated Node #3: [2, 17] from Operation: 76-59=17
Current State: 34:[2, 17], Operations: ['40/20=2', '76-59=17']
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[40, 59, 76, 20], Operations: []
Exploring Operation: 59-20=39, Resulting Numbers: [40, 76, 39]
Generated Node #0,0: 34:[40, 76, 39] Operation: 59-20=39
Exploring Operation: 76-20=56, Resulting Numbers: [40, 59, 56]
Generated Node #0,1: 34:[40, 59, 56] Operation: 76-20=56
Exploring Operation: 76-59=17, Resulting Numbers: [40, 20, 17]
Generated Node #0,2: 34:[40, 20, 17] Operation: 76-59=17
Exploring Operation: 59-40=19, Resulting Numbers: [76, 20, 19]
Generated Node #0,3: 34:[76, 20, 19] Operation: 59-40=19
Exploring Operation: 76-40=36, Resulting Numbers: [59, 20, 36]
Generated Node #0,4: 34:[59, 20, 36] Operation: 76-40=36
Moving to Node #0,2
Current State: 34:[40, 20, 17], Operations: ['76-59=17']
Exploring Operation: 20-17=3, Resulting Numbers: [40, 3]
Generated Node #0,2,0: 34:[40, 3] Operation: 20-17=3
Exploring Operation: 20+17=37, Resulting Numbers: [40, 37]
Generated Node #0,2,1: 34:[40, 37] Operation: 20+17=37
Exploring Operation: 40-20=20, Resulting Numbers: [17, 20]
Generated Node #0,2,2: 34:[17, 20] Operation: 40-20=20
Exploring Operation: 40/20=2, Resulting Numbers: [17, 2]
Generated Node #0,2,3: 34:[17, 2] Operation: 40/20=2
Exploring Operation: 40-17=23, Resulting Numbers: [20, 23]
Generated Node #0,2,4: 34:[20, 23] Operation: 40-17=23
Moving to Node #0,4
Current State: 34:[59, 20, 36], Operations: ['76-40=36']
Exploring Operation: 59-20=39, Resulting Numbers: [36, 39]
Generated Node #0,4,0: 34:[36, 39] Operation: 59-20=39
Exploring Operation: 20+36=56, Resulting Numbers: [59, 56]
Generated Node #0,4,1: 34:[59, 56] Operation: 20+36=56
Exploring Operation: 59+20=79, Resulting Numbers: [36, 79]
Generated Node #0,4,2: 34:[36, 79] Operation: 59+20=79
Exploring Operation: 59-36=23, Resulting Numbers: [20, 23]
Generated Node #0,4,3: 34:[20, 23] Operation: 59-36=23
Exploring Operation: 36-20=16, Resulting Numbers: [59, 16]
Generated Node #0,4,4: 34:[59, 16] Operation: 36-20=16
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 34:[36, 39], Operations: ['76-40=36', '59-20=39']
Exploring Operation: 36*39=1404, Resulting Numbers: [1404]
1404,34 unequal: No Solution
Exploring Operation: 36+39=75, Resulting Numbers: [75]
75,34 unequal: No Solution
Exploring Operation: 39-36=3, Resulting Numbers: [3]
3,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 34:[20, 23], Operations: ['76-40=36', '59-36=23']
Exploring Operation: 20*23=460, Resulting Numbers: [460]
460,34 unequal: No Solution
Exploring Operation: 20+23=43, Resulting Numbers: [43]
43,34 unequal: No Solution
Exploring Operation: 23-20=3, Resulting Numbers: [3]
3,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 34:[59, 16], Operations: ['76-40=36', '36-20=16']
Exploring Operation: 59+16=75, Resulting Numbers: [75]
75,34 unequal: No Solution
Exploring Operation: 59-16=43, Resulting Numbers: [43]
43,34 unequal: No Solution
Exploring Operation: 59*16=944, Resulting Numbers: [944]
944,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 34:[59, 56], Operations: ['76-40=36', '20+36=56']
Exploring Operation: 59+56=115, Resulting Numbers: [115]
115,34 unequal: No Solution
Exploring Operation: 59-56=3, Resulting Numbers: [3]
3,34 unequal: No Solution
Exploring Operation: 59*56=3304, Resulting Numbers: [3304]
3304,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 34:[36, 79], Operations: ['76-40=36', '59+20=79']
Exploring Operation: 36+79=115, Resulting Numbers: [115]
115,34 unequal: No Solution
Exploring Operation: 36*79=2844, Resulting Numbers: [2844]
2844,34 unequal: No Solution
Exploring Operation: 79-36=43, Resulting Numbers: [43]
43,34 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: 34:[76, 20, 19], Operations: ['59-40=19']
Exploring Operation: 76/19=4, Resulting Numbers: [20, 4]
Generated Node #0,3,0: 34:[20, 4] Operation: 76/19=4
Exploring Operation: 76-19=57, Resulting Numbers: [20, 57]
Generated Node #0,3,1: 34:[20, 57] Operation: 76-19=57
Exploring Operation: 20+19=39, Resulting Numbers: [76, 39]
Generated Node #0,3,2: 34:[76, 39] Operation: 20+19=39
Exploring Operation: 20-19=1, Resulting Numbers: [76, 1]
Generated Node #0,3,3: 34:[76, 1] Operation: 20-19=1
Exploring Operation: 76-20=56, Resulting Numbers: [19, 56]
Generated Node #0,3,4: 34:[19, 56] Operation: 76-20=56
Moving to Node #0,0
Current State: 34:[40, 76, 39], Operations: ['59-20=39']
Exploring Operation: 76-39=37, Resulting Numbers: [40, 37]
Generated Node #0,0,0: 34:[40, 37] Operation: 76-39=37
Exploring Operation: 40+39=79, Resulting Numbers: [76, 79]
Generated Node #0,0,1: 34:[76, 79] Operation: 40+39=79
Exploring Operation: 40-39=1, Resulting Numbers: [76, 1]
Generated Node #0,0,2: 34:[76, 1] Operation: 40-39=1
Exploring Operation: 76-40=36, Resulting Numbers: [39, 36]
Generated Node #0,0,3: 34:[39, 36] Operation: 76-40=36
Exploring Operation: 40+76=116, Resulting Numbers: [39, 116]
Generated Node #0,0,4: 34:[39, 116] Operation: 40+76=116
Moving to Node #0,1
Current State: 34:[40, 59, 56], Operations: ['76-20=56']
Exploring Operation: 59-56=3, Resulting Numbers: [40, 3]
Generated Node #0,1,0: 34:[40, 3] Operation: 59-56=3
Exploring Operation: 40+56=96, Resulting Numbers: [59, 96]
Generated Node #0,1,1: 34:[59, 96] Operation: 40+56=96
Exploring Operation: 40+59=99, Resulting Numbers: [56, 99]
Generated Node #0,1,2: 34:[56, 99] Operation: 40+59=99
Exploring Operation: 59-40=19, Resulting Numbers: [56, 19]
Generated Node #0,1,3: 34:[56, 19] Operation: 59-40=19
Exploring Operation: 56-40=16, Resulting Numbers: [59, 16]
Generated Node #0,1,4: 34:[59, 16] Operation: 56-40=16
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 34:[40, 3], Operations: ['76-20=56', '59-56=3']
Exploring Operation: 40+3=43, Resulting Numbers: [43]
43,34 unequal: No Solution
Exploring Operation: 40*3=120, Resulting Numbers: [120]
120,34 unequal: No Solution
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 34:[56, 19], Operations: ['76-20=56', '59-40=19']
Exploring Operation: 56-19=37, Resulting Numbers: [37]
37,34 unequal: No Solution
Exploring Operation: 56*19=1064, Resulting Numbers: [1064]
1064,34 unequal: No Solution
Exploring Operation: 56+19=75, Resulting Numbers: [75]
75,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 34:[59, 16], Operations: ['76-20=56', '56-40=16']
Exploring Operation: 59*16=944, Resulting Numbers: [944]
944,34 unequal: No Solution
Exploring Operation: 59-16=43, Resulting Numbers: [43]
43,34 unequal: No Solution
Exploring Operation: 59+16=75, Resulting Numbers: [75]
75,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 34:[59, 96], Operations: ['76-20=56', '40+56=96']
Exploring Operation: 59*96=5664, Resulting Numbers: [5664]
5664,34 unequal: No Solution
Exploring Operation: 59+96=155, Resulting Numbers: [155]
155,34 unequal: No Solution
Exploring Operation: 96-59=37, Resulting Numbers: [37]
37,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 34:[56, 99], Operations: ['76-20=56', '40+59=99']
Exploring Operation: 99-56=43, Resulting Numbers: [43]
43,34 unequal: No Solution
Exploring Operation: 56*99=5544, Resulting Numbers: [5544]
5544,34 unequal: No Solution
Exploring Operation: 56+99=155, Resulting Numbers: [155]
155,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,3
Current State: 34:[17, 2], Operations: ['76-59=17', '40/20=2']
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,34 unequal: No Solution
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,34 unequal: No Solution
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[40, 59, 76, 20], Operations: []
Exploring Operation: 76-59=17, Resulting Numbers: [40, 20, 17]
Generated Node #0,2: 34:[40, 20, 17] Operation: 76-59=17
Moving to Node #0,2
Current State: 34:[40, 20, 17], Operations: ['76-59=17']
Exploring Operation: 40/20=2, Resulting Numbers: [17, 2]
Generated Node #0,2,3: 34:[17, 2] Operation: 40/20=2
Moving to Node #0,2,3
Current State: 34:[17, 2], Operations: ['76-59=17', '40/20=2']
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 0.94184 | hs_5 | mult_heuristic |
[
58,
52,
18,
75
] | 51 | [
"58-52=6",
"75-18=57",
"57-6=51"
] | Current State: 51:[58, 52, 18, 75], Operations: []
Exploring Operation: 58-52=6, Resulting Numbers: [18, 75, 6]
Generated Node #2: [18, 75, 6] from Operation: 58-52=6
Current State: 51:[18, 75, 6], Operations: ['58-52=6']
Exploring Operation: 75-18=57, Resulting Numbers: [6, 57]
Generated Node #3: [6, 57] from Operation: 75-18=57
Current State: 51:[6, 57], Operations: ['58-52=6', '75-18=57']
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[58, 52, 18, 75], Operations: []
Exploring Operation: 75-18=57, Resulting Numbers: [58, 52, 57]
Generated Node #0,0: 51:[58, 52, 57] Operation: 75-18=57
Exploring Operation: 75-52=23, Resulting Numbers: [58, 18, 23]
Generated Node #0,1: 51:[58, 18, 23] Operation: 75-52=23
Exploring Operation: 58-18=40, Resulting Numbers: [52, 75, 40]
Generated Node #0,2: 51:[52, 75, 40] Operation: 58-18=40
Exploring Operation: 75-58=17, Resulting Numbers: [52, 18, 17]
Generated Node #0,3: 51:[52, 18, 17] Operation: 75-58=17
Exploring Operation: 58-52=6, Resulting Numbers: [18, 75, 6]
Generated Node #0,4: 51:[18, 75, 6] Operation: 58-52=6
Moving to Node #0,3
Current State: 51:[52, 18, 17], Operations: ['75-58=17']
Exploring Operation: 18+17=35, Resulting Numbers: [52, 35]
Generated Node #0,3,0: 51:[52, 35] Operation: 18+17=35
Exploring Operation: 52+18=70, Resulting Numbers: [17, 70]
Generated Node #0,3,1: 51:[17, 70] Operation: 52+18=70
Exploring Operation: 52-18=34, Resulting Numbers: [17, 34]
Generated Node #0,3,2: 51:[17, 34] Operation: 52-18=34
Exploring Operation: 18-17=1, Resulting Numbers: [52, 1]
Generated Node #0,3,3: 51:[52, 1] Operation: 18-17=1
Exploring Operation: 52-17=35, Resulting Numbers: [18, 35]
Generated Node #0,3,4: 51:[18, 35] Operation: 52-17=35
Moving to Node #0,1
Current State: 51:[58, 18, 23], Operations: ['75-52=23']
Exploring Operation: 58-23=35, Resulting Numbers: [18, 35]
Generated Node #0,1,0: 51:[18, 35] Operation: 58-23=35
Exploring Operation: 18+23=41, Resulting Numbers: [58, 41]
Generated Node #0,1,1: 51:[58, 41] Operation: 18+23=41
Exploring Operation: 58+18=76, Resulting Numbers: [23, 76]
Generated Node #0,1,2: 51:[23, 76] Operation: 58+18=76
Exploring Operation: 58-18=40, Resulting Numbers: [23, 40]
Generated Node #0,1,3: 51:[23, 40] Operation: 58-18=40
Exploring Operation: 23-18=5, Resulting Numbers: [58, 5]
Generated Node #0,1,4: 51:[58, 5] Operation: 23-18=5
Moving to Node #0,0
Current State: 51:[58, 52, 57], Operations: ['75-18=57']
Exploring Operation: 58+52=110, Resulting Numbers: [57, 110]
Generated Node #0,0,0: 51:[57, 110] Operation: 58+52=110
Exploring Operation: 57-52=5, Resulting Numbers: [58, 5]
Generated Node #0,0,1: 51:[58, 5] Operation: 57-52=5
Exploring Operation: 58-52=6, Resulting Numbers: [57, 6]
Generated Node #0,0,2: 51:[57, 6] Operation: 58-52=6
Exploring Operation: 58-57=1, Resulting Numbers: [52, 1]
Generated Node #0,0,3: 51:[52, 1] Operation: 58-57=1
Exploring Operation: 58+57=115, Resulting Numbers: [52, 115]
Generated Node #0,0,4: 51:[52, 115] Operation: 58+57=115
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 51:[52, 1], Operations: ['75-18=57', '58-57=1']
Exploring Operation: 52/1=52, Resulting Numbers: [52]
52,51 unequal: No Solution
Exploring Operation: 52*1=52, Resulting Numbers: [52]
52,51 unequal: No Solution
Exploring Operation: 52+1=53, Resulting Numbers: [53]
53,51 unequal: No Solution
Exploring Operation: 52-1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[58, 52, 18, 75], Operations: []
Exploring Operation: 75-18=57, Resulting Numbers: [58, 52, 57]
Generated Node #0,0: 51:[58, 52, 57] Operation: 75-18=57
Moving to Node #0,0
Current State: 51:[58, 52, 57], Operations: ['75-18=57']
Exploring Operation: 58-57=1, Resulting Numbers: [52, 1]
Generated Node #0,0,3: 51:[52, 1] Operation: 58-57=1
Moving to Node #0,0,3
Current State: 51:[52, 1], Operations: ['75-18=57', '58-57=1']
Exploring Operation: 52-1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694 | hs_5 | mult_heuristic |
[
36,
58,
2,
76
] | 76 | [
"76-36=40",
"58*2=116",
"116-40=76"
] | Current State: 76:[36, 58, 2, 76], Operations: []
Exploring Operation: 76-36=40, Resulting Numbers: [58, 2, 40]
Generated Node #2: [58, 2, 40] from Operation: 76-36=40
Current State: 76:[58, 2, 40], Operations: ['76-36=40']
Exploring Operation: 58*2=116, Resulting Numbers: [40, 116]
Generated Node #3: [40, 116] from Operation: 58*2=116
Current State: 76:[40, 116], Operations: ['76-36=40', '58*2=116']
Exploring Operation: 116-40=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[36, 58, 2, 76], Operations: []
Exploring Operation: 76-58=18, Resulting Numbers: [36, 2, 18]
Generated Node #0,0: 76:[36, 2, 18] Operation: 76-58=18
Exploring Operation: 58/2=29, Resulting Numbers: [36, 76, 29]
Generated Node #0,1: 76:[36, 76, 29] Operation: 58/2=29
Exploring Operation: 58-36=22, Resulting Numbers: [2, 76, 22]
Generated Node #0,2: 76:[2, 76, 22] Operation: 58-36=22
Exploring Operation: 36+2=38, Resulting Numbers: [58, 76, 38]
Generated Node #0,3: 76:[58, 76, 38] Operation: 36+2=38
Exploring Operation: 36+58=94, Resulting Numbers: [2, 76, 94]
Generated Node #0,4: 76:[2, 76, 94] Operation: 36+58=94
Moving to Node #0,0
Current State: 76:[36, 2, 18], Operations: ['76-58=18']
Exploring Operation: 36/2=18, Resulting Numbers: [18, 18]
Generated Node #0,0,0: 76:[18, 18] Operation: 36/2=18
Exploring Operation: 36+2=38, Resulting Numbers: [18, 38]
Generated Node #0,0,1: 76:[18, 38] Operation: 36+2=38
Exploring Operation: 36/18=2, Resulting Numbers: [2, 2]
Generated Node #0,0,2: 76:[2, 2] Operation: 36/18=2
Exploring Operation: 36-18=18, Resulting Numbers: [2, 18]
Generated Node #0,0,3: 76:[2, 18] Operation: 36-18=18
Exploring Operation: 2+18=20, Resulting Numbers: [36, 20]
Generated Node #0,0,4: 76:[36, 20] Operation: 2+18=20
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 76:[2, 2], Operations: ['76-58=18', '36/18=2']
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,76 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,76 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 #0,0,1
Current State: 76:[18, 38], Operations: ['76-58=18', '36+2=38']
Exploring Operation: 18+38=56, Resulting Numbers: [56]
56,76 unequal: No Solution
Exploring Operation: 18*38=684, Resulting Numbers: [684]
684,76 unequal: No Solution
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,76 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 #0,0,3
Current State: 76:[2, 18], Operations: ['76-58=18', '36-18=18']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,76 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,76 unequal: No Solution
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,76 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 #0,0,0
Current State: 76:[18, 18], Operations: ['76-58=18', '36/2=18']
Exploring Operation: 18/18=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 18*18=324, Resulting Numbers: [324]
324,76 unequal: No Solution
Exploring Operation: 18-18=0, Resulting Numbers: [0]
0,76 unequal: No Solution
Exploring Operation: 18+18=36, Resulting Numbers: [36]
36,76 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 #0,0,4
Current State: 76:[36, 20], Operations: ['76-58=18', '2+18=20']
Exploring Operation: 36+20=56, Resulting Numbers: [56]
56,76 unequal: No Solution
Exploring Operation: 36*20=720, Resulting Numbers: [720]
720,76 unequal: No Solution
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,76 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: 76:[2, 76, 22], Operations: ['58-36=22']
Exploring Operation: 76-2=74, Resulting Numbers: [22, 74]
Generated Node #0,2,0: 76:[22, 74] Operation: 76-2=74
Exploring Operation: 22-2=20, Resulting Numbers: [76, 20]
Generated Node #0,2,1: 76:[76, 20] Operation: 22-2=20
Exploring Operation: 76/2=38, Resulting Numbers: [22, 38]
Generated Node #0,2,2: 76:[22, 38] Operation: 76/2=38
Exploring Operation: 2+22=24, Resulting Numbers: [76, 24]
Generated Node #0,2,3: 76:[76, 24] Operation: 2+22=24
Exploring Operation: 2+76=78, Resulting Numbers: [22, 78]
Generated Node #0,2,4: 76:[22, 78] Operation: 2+76=78
Moving to Node #0,1
Current State: 76:[36, 76, 29], Operations: ['58/2=29']
Exploring Operation: 36-29=7, Resulting Numbers: [76, 7]
Generated Node #0,1,0: 76:[76, 7] Operation: 36-29=7
Exploring Operation: 76-29=47, Resulting Numbers: [36, 47]
Generated Node #0,1,1: 76:[36, 47] Operation: 76-29=47
Exploring Operation: 76+29=105, Resulting Numbers: [36, 105]
Generated Node #0,1,2: 76:[36, 105] Operation: 76+29=105
Exploring Operation: 76-36=40, Resulting Numbers: [29, 40]
Generated Node #0,1,3: 76:[29, 40] Operation: 76-36=40
Exploring Operation: 36+29=65, Resulting Numbers: [76, 65]
Generated Node #0,1,4: 76:[76, 65] Operation: 36+29=65
Moving to Node #0,3
Current State: 76:[58, 76, 38], Operations: ['36+2=38']
Exploring Operation: 76/38=2, Resulting Numbers: [58, 2]
Generated Node #0,3,0: 76:[58, 2] Operation: 76/38=2
Exploring Operation: 58+38=96, Resulting Numbers: [76, 96]
Generated Node #0,3,1: 76:[76, 96] Operation: 58+38=96
Exploring Operation: 58-38=20, Resulting Numbers: [76, 20]
Generated Node #0,3,2: 76:[76, 20] Operation: 58-38=20
Exploring Operation: 76-58=18, Resulting Numbers: [38, 18]
Generated Node #0,3,3: 76:[38, 18] Operation: 76-58=18
Exploring Operation: 76-38=38, Resulting Numbers: [58, 38]
Generated Node #0,3,4: 76:[58, 38] Operation: 76-38=38
Moving to Node #0,4
Current State: 76:[2, 76, 94], Operations: ['36+58=94']
Exploring Operation: 94-2=92, Resulting Numbers: [76, 92]
Generated Node #0,4,0: 76:[76, 92] Operation: 94-2=92
Exploring Operation: 76/2=38, Resulting Numbers: [94, 38]
Generated Node #0,4,1: 76:[94, 38] Operation: 76/2=38
Exploring Operation: 94-76=18, Resulting Numbers: [2, 18]
Generated Node #0,4,2: 76:[2, 18] Operation: 94-76=18
Exploring Operation: 94/2=47, Resulting Numbers: [76, 47]
Generated Node #0,4,3: 76:[76, 47] Operation: 94/2=47
Exploring Operation: 2+76=78, Resulting Numbers: [94, 78]
Generated Node #0,4,4: 76:[94, 78] Operation: 2+76=78
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 76:[2, 18], Operations: ['36+58=94', '94-76=18']
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,76 unequal: No Solution
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,76 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,76 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 #0,4,3
Current State: 76:[76, 47], Operations: ['36+58=94', '94/2=47']
Exploring Operation: 76*47=3572, Resulting Numbers: [3572]
3572,76 unequal: No Solution
Exploring Operation: 76+47=123, Resulting Numbers: [123]
123,76 unequal: No Solution
Exploring Operation: 76-47=29, Resulting Numbers: [29]
29,76 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 #0,4,0
Current State: 76:[76, 92], Operations: ['36+58=94', '94-2=92']
Exploring Operation: 76*92=6992, Resulting Numbers: [6992]
6992,76 unequal: No Solution
Exploring Operation: 92-76=16, Resulting Numbers: [16]
16,76 unequal: No Solution
Exploring Operation: 76+92=168, Resulting Numbers: [168]
168,76 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 #0,4,1
Current State: 76:[94, 38], Operations: ['36+58=94', '76/2=38']
Exploring Operation: 94-38=56, Resulting Numbers: [56]
56,76 unequal: No Solution
Exploring Operation: 94*38=3572, Resulting Numbers: [3572]
3572,76 unequal: No Solution
Exploring Operation: 94+38=132, Resulting Numbers: [132]
132,76 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 #0,4,4
Current State: 76:[94, 78], Operations: ['36+58=94', '2+76=78']
Exploring Operation: 94-78=16, Resulting Numbers: [16]
16,76 unequal: No Solution
Exploring Operation: 94+78=172, Resulting Numbers: [172]
172,76 unequal: No Solution
Exploring Operation: 94*78=7332, Resulting Numbers: [7332]
7332,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 76:[76, 20], Operations: ['58-36=22', '22-2=20']
Exploring Operation: 76-20=56, Resulting Numbers: [56]
56,76 unequal: No Solution
Exploring Operation: 76+20=96, Resulting Numbers: [96]
96,76 unequal: No Solution
Exploring Operation: 76*20=1520, Resulting Numbers: [1520]
1520,76 unequal: No Solution
Moving to Node #0,3,3
Current State: 76:[38, 18], Operations: ['36+2=38', '76-58=18']
Exploring Operation: 38+18=56, Resulting Numbers: [56]
56,76 unequal: No Solution
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,76 unequal: No Solution
Exploring Operation: 38*18=684, Resulting Numbers: [684]
684,76 unequal: No Solution
Moving to Node #0,3,2
Current State: 76:[76, 20], Operations: ['36+2=38', '58-38=20']
Exploring Operation: 76+20=96, Resulting Numbers: [96]
96,76 unequal: No Solution
Exploring Operation: 76-20=56, Resulting Numbers: [56]
56,76 unequal: No Solution
Exploring Operation: 76*20=1520, Resulting Numbers: [1520]
1520,76 unequal: No Solution
Moving to Node #0,1,0
Current State: 76:[76, 7], Operations: ['58/2=29', '36-29=7']
Exploring Operation: 76-7=69, Resulting Numbers: [69]
69,76 unequal: No Solution
Exploring Operation: 76+7=83, Resulting Numbers: [83]
83,76 unequal: No Solution
Exploring Operation: 76*7=532, Resulting Numbers: [532]
532,76 unequal: No Solution
Moving to Node #0,2,2
Current State: 76:[22, 38], Operations: ['58-36=22', '76/2=38']
Exploring Operation: 38-22=16, Resulting Numbers: [16]
16,76 unequal: No Solution
Exploring Operation: 22+38=60, Resulting Numbers: [60]
60,76 unequal: No Solution
Exploring Operation: 22*38=836, Resulting Numbers: [836]
836,76 unequal: No Solution
Moving to Node #0,2,0
Current State: 76:[22, 74], Operations: ['58-36=22', '76-2=74']
Exploring Operation: 74-22=52, Resulting Numbers: [52]
52,76 unequal: No Solution
Exploring Operation: 22*74=1628, Resulting Numbers: [1628]
1628,76 unequal: No Solution
Exploring Operation: 22+74=96, Resulting Numbers: [96]
96,76 unequal: No Solution
Moving to Node #0,2,4
Current State: 76:[22, 78], Operations: ['58-36=22', '2+76=78']
Exploring Operation: 22*78=1716, Resulting Numbers: [1716]
1716,76 unequal: No Solution
Exploring Operation: 22+78=100, Resulting Numbers: [100]
100,76 unequal: No Solution
Exploring Operation: 78-22=56, Resulting Numbers: [56]
56,76 unequal: No Solution
Moving to Node #0,2,3
Current State: 76:[76, 24], Operations: ['58-36=22', '2+22=24']
Exploring Operation: 76-24=52, Resulting Numbers: [52]
52,76 unequal: No Solution
Exploring Operation: 76*24=1824, Resulting Numbers: [1824]
1824,76 unequal: No Solution
Exploring Operation: 76+24=100, Resulting Numbers: [100]
100,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[36, 47], Operations: ['58/2=29', '76-29=47']
Exploring Operation: 47-36=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Exploring Operation: 36*47=1692, Resulting Numbers: [1692]
1692,76 unequal: No Solution
Exploring Operation: 36+47=83, Resulting Numbers: [83]
83,76 unequal: No Solution
Moving to Node #0,1,4
Current State: 76:[76, 65], Operations: ['58/2=29', '36+29=65']
Exploring Operation: 76+65=141, Resulting Numbers: [141]
141,76 unequal: No Solution
Exploring Operation: 76-65=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Exploring Operation: 76*65=4940, Resulting Numbers: [4940]
4940,76 unequal: No Solution
Moving to Node #0,1,3
Current State: 76:[29, 40], Operations: ['58/2=29', '76-36=40']
Exploring Operation: 40-29=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Exploring Operation: 29*40=1160, Resulting Numbers: [1160]
1160,76 unequal: No Solution
Exploring Operation: 29+40=69, Resulting Numbers: [69]
69,76 unequal: No Solution
Moving to Node #0,3,0
Current State: 76:[58, 2], Operations: ['36+2=38', '76/38=2']
Exploring Operation: 58*2=116, Resulting Numbers: [116]
116,76 unequal: No Solution
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,76 unequal: No Solution
Exploring Operation: 58+2=60, Resulting Numbers: [60]
60,76 unequal: No Solution
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,76 unequal: No Solution
Moving to Node #0,3,4
Current State: 76:[58, 38], Operations: ['36+2=38', '76-38=38']
Exploring Operation: 58-38=20, Resulting Numbers: [20]
20,76 unequal: No Solution
Exploring Operation: 58*38=2204, Resulting Numbers: [2204]
2204,76 unequal: No Solution
Exploring Operation: 58+38=96, Resulting Numbers: [96]
96,76 unequal: No Solution
Moving to Node #0,3,1
Current State: 76:[76, 96], Operations: ['36+2=38', '58+38=96']
Exploring Operation: 76*96=7296, Resulting Numbers: [7296]
7296,76 unequal: No Solution
Exploring Operation: 76+96=172, Resulting Numbers: [172]
172,76 unequal: No Solution
Exploring Operation: 96-76=20, Resulting Numbers: [20]
20,76 unequal: No Solution
Moving to Node #0,1,2
Current State: 76:[36, 105], Operations: ['58/2=29', '76+29=105']
Exploring Operation: 36*105=3780, Resulting Numbers: [3780]
3780,76 unequal: No Solution
Exploring Operation: 36+105=141, Resulting Numbers: [141]
141,76 unequal: No Solution
Exploring Operation: 105-36=69, Resulting Numbers: [69]
69,76 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
29,
99,
43,
32
] | 44 | [
"29+43=72",
"99*32=3168",
"3168/72=44"
] | Current State: 44:[29, 99, 43, 32], Operations: []
Exploring Operation: 29+43=72, Resulting Numbers: [99, 32, 72]
Generated Node #2: [99, 32, 72] from Operation: 29+43=72
Current State: 44:[99, 32, 72], Operations: ['29+43=72']
Exploring Operation: 99*32=3168, Resulting Numbers: [72, 3168]
Generated Node #3: [72, 3168] from Operation: 99*32=3168
Current State: 44:[72, 3168], Operations: ['29+43=72', '99*32=3168']
Exploring Operation: 3168/72=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[29, 99, 43, 32], Operations: []
Exploring Operation: 99-29=70, Resulting Numbers: [43, 32, 70]
Generated Node #0,0: 44:[43, 32, 70] Operation: 99-29=70
Exploring Operation: 99-32=67, Resulting Numbers: [29, 43, 67]
Generated Node #0,1: 44:[29, 43, 67] Operation: 99-32=67
Exploring Operation: 99-43=56, Resulting Numbers: [29, 32, 56]
Generated Node #0,2: 44:[29, 32, 56] Operation: 99-43=56
Start Sub Search at level 1: Moving to Node #0,2
Current State: 44:[29, 32, 56], Operations: ['99-43=56']
Exploring Operation: 56-32=24, Resulting Numbers: [29, 24]
Generated Node #0,2,0: 44:[29, 24] Operation: 56-32=24
Exploring Operation: 32-29=3, Resulting Numbers: [56, 3]
Generated Node #0,2,1: 44:[56, 3] Operation: 32-29=3
Exploring Operation: 56-29=27, Resulting Numbers: [32, 27]
Generated Node #0,2,2: 44:[32, 27] Operation: 56-29=27
Moving to Node #0,2,0
Current State: 44:[29, 24], Operations: ['99-43=56', '56-32=24']
Exploring Operation: 29*24=696, Resulting Numbers: [696]
696,44 unequal: No Solution
Exploring Operation: 29+24=53, Resulting Numbers: [53]
53,44 unequal: No Solution
Exploring Operation: 29-24=5, Resulting Numbers: [5]
5,44 unequal: No Solution
Moving to Node #0,2,1
Current State: 44:[56, 3], Operations: ['99-43=56', '32-29=3']
Exploring Operation: 56+3=59, Resulting Numbers: [59]
59,44 unequal: No Solution
Exploring Operation: 56*3=168, Resulting Numbers: [168]
168,44 unequal: No Solution
Exploring Operation: 56-3=53, Resulting Numbers: [53]
53,44 unequal: No Solution
Moving to Node #0,2,2
Current State: 44:[32, 27], Operations: ['99-43=56', '56-29=27']
Exploring Operation: 32*27=864, Resulting Numbers: [864]
864,44 unequal: No Solution
Exploring Operation: 32-27=5, Resulting Numbers: [5]
5,44 unequal: No Solution
Exploring Operation: 32+27=59, Resulting Numbers: [59]
59,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 44:[29, 43, 67], Operations: ['99-32=67']
Exploring Operation: 43-29=14, Resulting Numbers: [67, 14]
Generated Node #0,1,0: 44:[67, 14] Operation: 43-29=14
Exploring Operation: 67-29=38, Resulting Numbers: [43, 38]
Generated Node #0,1,1: 44:[43, 38] Operation: 67-29=38
Exploring Operation: 67-43=24, Resulting Numbers: [29, 24]
Generated Node #0,1,2: 44:[29, 24] Operation: 67-43=24
Moving to Node #0,1,1
Current State: 44:[43, 38], Operations: ['99-32=67', '67-29=38']
Exploring Operation: 43+38=81, Resulting Numbers: [81]
81,44 unequal: No Solution
Exploring Operation: 43-38=5, Resulting Numbers: [5]
5,44 unequal: No Solution
Exploring Operation: 43*38=1634, Resulting Numbers: [1634]
1634,44 unequal: No Solution
Moving to Node #0,1,2
Current State: 44:[29, 24], Operations: ['99-32=67', '67-43=24']
Exploring Operation: 29+24=53, Resulting Numbers: [53]
53,44 unequal: No Solution
Exploring Operation: 29*24=696, Resulting Numbers: [696]
696,44 unequal: No Solution
Exploring Operation: 29-24=5, Resulting Numbers: [5]
5,44 unequal: No Solution
Moving to Node #0,1,0
Current State: 44:[67, 14], Operations: ['99-32=67', '43-29=14']
Exploring Operation: 67+14=81, Resulting Numbers: [81]
81,44 unequal: No Solution
Exploring Operation: 67*14=938, Resulting Numbers: [938]
938,44 unequal: No Solution
Exploring Operation: 67-14=53, Resulting Numbers: [53]
53,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[43, 32, 70], Operations: ['99-29=70']
Exploring Operation: 43-32=11, Resulting Numbers: [70, 11]
Generated Node #0,0,0: 44:[70, 11] Operation: 43-32=11
Exploring Operation: 70-32=38, Resulting Numbers: [43, 38]
Generated Node #0,0,1: 44:[43, 38] Operation: 70-32=38
Exploring Operation: 70-43=27, Resulting Numbers: [32, 27]
Generated Node #0,0,2: 44:[32, 27] Operation: 70-43=27
Moving to Node #0,0,1
Current State: 44:[43, 38], Operations: ['99-29=70', '70-32=38']
Exploring Operation: 43-38=5, Resulting Numbers: [5]
5,44 unequal: No Solution
Exploring Operation: 43+38=81, Resulting Numbers: [81]
81,44 unequal: No Solution
Exploring Operation: 43*38=1634, Resulting Numbers: [1634]
1634,44 unequal: No Solution
Moving to Node #0,0,2
Current State: 44:[32, 27], Operations: ['99-29=70', '70-43=27']
Exploring Operation: 32+27=59, Resulting Numbers: [59]
59,44 unequal: No Solution
Exploring Operation: 32-27=5, Resulting Numbers: [5]
5,44 unequal: No Solution
Exploring Operation: 32*27=864, Resulting Numbers: [864]
864,44 unequal: No Solution
Moving to Node #0,0,0
Current State: 44:[70, 11], Operations: ['99-29=70', '43-32=11']
Exploring Operation: 70*11=770, Resulting Numbers: [770]
770,44 unequal: No Solution
Exploring Operation: 70+11=81, Resulting Numbers: [81]
81,44 unequal: No Solution
Exploring Operation: 70-11=59, Resulting Numbers: [59]
59,44 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 |
[
95,
41,
2,
25
] | 31 | [
"95-41=54",
"25-2=23",
"54-23=31"
] | Current State: 31:[95, 41, 2, 25], Operations: []
Exploring Operation: 95-41=54, Resulting Numbers: [2, 25, 54]
Generated Node #2: [2, 25, 54] from Operation: 95-41=54
Current State: 31:[2, 25, 54], Operations: ['95-41=54']
Exploring Operation: 25-2=23, Resulting Numbers: [54, 23]
Generated Node #3: [54, 23] from Operation: 25-2=23
Current State: 31:[54, 23], Operations: ['95-41=54', '25-2=23']
Exploring Operation: 54-23=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[95, 41, 2, 25], Operations: []
Exploring Operation: 41-2=39, Resulting Numbers: [95, 25, 39]
Generated Node #0,0: 31:[95, 25, 39] Operation: 41-2=39
Exploring Operation: 2+25=27, Resulting Numbers: [95, 41, 27]
Generated Node #0,1: 31:[95, 41, 27] Operation: 2+25=27
Exploring Operation: 95-25=70, Resulting Numbers: [41, 2, 70]
Generated Node #0,2: 31:[41, 2, 70] Operation: 95-25=70
Exploring Operation: 95-41=54, Resulting Numbers: [2, 25, 54]
Generated Node #0,3: 31:[2, 25, 54] Operation: 95-41=54
Exploring Operation: 95-2=93, Resulting Numbers: [41, 25, 93]
Generated Node #0,4: 31:[41, 25, 93] Operation: 95-2=93
Start Sub Search at level 1: Moving to Node #0,3
Current State: 31:[2, 25, 54], Operations: ['95-41=54']
Exploring Operation: 2+25=27, Resulting Numbers: [54, 27]
Generated Node #0,3,0: 31:[54, 27] Operation: 2+25=27
Exploring Operation: 25-2=23, Resulting Numbers: [54, 23]
Generated Node #0,3,1: 31:[54, 23] Operation: 25-2=23
Exploring Operation: 2+54=56, Resulting Numbers: [25, 56]
Generated Node #0,3,2: 31:[25, 56] Operation: 2+54=56
Exploring Operation: 54/2=27, Resulting Numbers: [25, 27]
Generated Node #0,3,3: 31:[25, 27] Operation: 54/2=27
Exploring Operation: 54-2=52, Resulting Numbers: [25, 52]
Generated Node #0,3,4: 31:[25, 52] Operation: 54-2=52
Moving to Node #0,3,3
Current State: 31:[25, 27], Operations: ['95-41=54', '54/2=27']
Exploring Operation: 25+27=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Exploring Operation: 27-25=2, Resulting Numbers: [2]
2,31 unequal: No Solution
Exploring Operation: 25*27=675, Resulting Numbers: [675]
675,31 unequal: No Solution
Moving to Node #0,3,4
Current State: 31:[25, 52], Operations: ['95-41=54', '54-2=52']
Exploring Operation: 25*52=1300, Resulting Numbers: [1300]
1300,31 unequal: No Solution
Exploring Operation: 52-25=27, Resulting Numbers: [27]
27,31 unequal: No Solution
Exploring Operation: 25+52=77, Resulting Numbers: [77]
77,31 unequal: No Solution
Moving to Node #0,3,0
Current State: 31:[54, 27], Operations: ['95-41=54', '2+25=27']
Exploring Operation: 54+27=81, Resulting Numbers: [81]
81,31 unequal: No Solution
Exploring Operation: 54-27=27, Resulting Numbers: [27]
27,31 unequal: No Solution
Exploring Operation: 54/27=2, Resulting Numbers: [2]
2,31 unequal: No Solution
Exploring Operation: 54*27=1458, Resulting Numbers: [1458]
1458,31 unequal: No Solution
Moving to Node #0,3,1
Current State: 31:[54, 23], Operations: ['95-41=54', '25-2=23']
Exploring Operation: 54-23=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[95, 41, 2, 25], Operations: []
Exploring Operation: 95-41=54, Resulting Numbers: [2, 25, 54]
Generated Node #0,3: 31:[2, 25, 54] Operation: 95-41=54
Moving to Node #0,3
Current State: 31:[2, 25, 54], Operations: ['95-41=54']
Exploring Operation: 25-2=23, Resulting Numbers: [54, 23]
Generated Node #0,3,1: 31:[54, 23] Operation: 25-2=23
Moving to Node #0,3,1
Current State: 31:[54, 23], Operations: ['95-41=54', '25-2=23']
Exploring Operation: 54-23=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_5 | mult_heuristic |
[
56,
4,
91,
44
] | 89 | [
"56*4=224",
"91+44=135",
"224-135=89"
] | Current State: 89:[56, 4, 91, 44], Operations: []
Exploring Operation: 56*4=224, Resulting Numbers: [91, 44, 224]
Generated Node #2: [91, 44, 224] from Operation: 56*4=224
Current State: 89:[91, 44, 224], Operations: ['56*4=224']
Exploring Operation: 91+44=135, Resulting Numbers: [224, 135]
Generated Node #3: [224, 135] from Operation: 91+44=135
Current State: 89:[224, 135], Operations: ['56*4=224', '91+44=135']
Exploring Operation: 224-135=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[56, 4, 91, 44], Operations: []
Exploring Operation: 56+4=60, Resulting Numbers: [91, 44, 60]
Generated Node #0,0: 89:[91, 44, 60] Operation: 56+4=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[91, 44, 60], Operations: ['56+4=60']
Exploring Operation: 44+60=104, Resulting Numbers: [91, 104]
Generated Node #0,0,0: 89:[91, 104] Operation: 44+60=104
Moving to Node #0,0,0
Current State: 89:[91, 104], Operations: ['56+4=60', '44+60=104']
Exploring Operation: 104-91=13, Resulting Numbers: [13]
13,89 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 |
[
21,
39,
97,
68
] | 42 | [
"39+97=136",
"21*136=2856",
"2856/68=42"
] | Current State: 42:[21, 39, 97, 68], Operations: []
Exploring Operation: 39+97=136, Resulting Numbers: [21, 68, 136]
Generated Node #2: [21, 68, 136] from Operation: 39+97=136
Current State: 42:[21, 68, 136], Operations: ['39+97=136']
Exploring Operation: 21*136=2856, Resulting Numbers: [68, 2856]
Generated Node #3: [68, 2856] from Operation: 21*136=2856
Current State: 42:[68, 2856], Operations: ['39+97=136', '21*136=2856']
Exploring Operation: 2856/68=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[21, 39, 97, 68], Operations: []
Exploring Operation: 97-39=58, Resulting Numbers: [21, 68, 58]
Generated Node #0,0: 42:[21, 68, 58] Operation: 97-39=58
Exploring Operation: 97-68=29, Resulting Numbers: [21, 39, 29]
Generated Node #0,1: 42:[21, 39, 29] Operation: 97-68=29
Start Sub Search at level 1: Moving to Node #0,1
Current State: 42:[21, 39, 29], Operations: ['97-68=29']
Exploring Operation: 39-29=10, Resulting Numbers: [21, 10]
Generated Node #0,1,0: 42:[21, 10] Operation: 39-29=10
Exploring Operation: 29-21=8, Resulting Numbers: [39, 8]
Generated Node #0,1,1: 42:[39, 8] Operation: 29-21=8
Moving to Node #0,1,0
Current State: 42:[21, 10], Operations: ['97-68=29', '39-29=10']
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,42 unequal: No Solution
Exploring Operation: 21+10=31, Resulting Numbers: [31]
31,42 unequal: No Solution
Moving to Node #0,1,1
Current State: 42:[39, 8], Operations: ['97-68=29', '29-21=8']
Exploring Operation: 39+8=47, Resulting Numbers: [47]
47,42 unequal: No Solution
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,42 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 #0,0
Current State: 42:[21, 68, 58], Operations: ['97-39=58']
Exploring Operation: 68-58=10, Resulting Numbers: [21, 10]
Generated Node #0,0,0: 42:[21, 10] Operation: 68-58=10
Exploring Operation: 68-21=47, Resulting Numbers: [58, 47]
Generated Node #0,0,1: 42:[58, 47] Operation: 68-21=47
Moving to Node #0,0,0
Current State: 42:[21, 10], Operations: ['97-39=58', '68-58=10']
Exploring Operation: 21+10=31, Resulting Numbers: [31]
31,42 unequal: No Solution
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,42 unequal: No Solution
Moving to Node #0,0,1
Current State: 42:[58, 47], Operations: ['97-39=58', '68-21=47']
Exploring Operation: 58-47=11, Resulting Numbers: [11]
11,42 unequal: No Solution
Exploring Operation: 58+47=105, Resulting Numbers: [105]
105,42 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 |
[
69,
69,
27,
53
] | 27 | [
"69-69=0",
"53*0=0",
"27+0=27"
] | Current State: 27:[69, 69, 27, 53], Operations: []
Exploring Operation: 69-69=0, Resulting Numbers: [27, 53, 0]
Generated Node #2: [27, 53, 0] from Operation: 69-69=0
Current State: 27:[27, 53, 0], Operations: ['69-69=0']
Exploring Operation: 53*0=0, Resulting Numbers: [27, 0]
Generated Node #3: [27, 0] from Operation: 53*0=0
Current State: 27:[27, 0], Operations: ['69-69=0', '53*0=0']
Exploring Operation: 27+0=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[69, 69, 27, 53], Operations: []
Exploring Operation: 69-69=0, Resulting Numbers: [27, 53, 0]
Generated Node #0,0: 27:[27, 53, 0] Operation: 69-69=0
Exploring Operation: 69-53=16, Resulting Numbers: [69, 27, 16]
Generated Node #0,1: 27:[69, 27, 16] Operation: 69-53=16
Exploring Operation: 69/69=1, Resulting Numbers: [27, 53, 1]
Generated Node #0,2: 27:[27, 53, 1] Operation: 69/69=1
Start Sub Search at level 1: Moving to Node #0,2
Current State: 27:[27, 53, 1], Operations: ['69/69=1']
Exploring Operation: 53-1=52, Resulting Numbers: [27, 52]
Generated Node #0,2,0: 27:[27, 52] Operation: 53-1=52
Exploring Operation: 53-27=26, Resulting Numbers: [1, 26]
Generated Node #0,2,1: 27:[1, 26] Operation: 53-27=26
Exploring Operation: 27*1=27, Resulting Numbers: [53, 27]
Generated Node #0,2,2: 27:[53, 27] Operation: 27*1=27
Moving to Node #0,2,1
Current State: 27:[1, 26], Operations: ['69/69=1', '53-27=26']
Exploring Operation: 1+26=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[69, 69, 27, 53], Operations: []
Exploring Operation: 69/69=1, Resulting Numbers: [27, 53, 1]
Generated Node #0,2: 27:[27, 53, 1] Operation: 69/69=1
Moving to Node #0,2
Current State: 27:[27, 53, 1], Operations: ['69/69=1']
Exploring Operation: 53-27=26, Resulting Numbers: [1, 26]
Generated Node #0,2,1: 27:[1, 26] Operation: 53-27=26
Moving to Node #0,2,1
Current State: 27:[1, 26], Operations: ['69/69=1', '53-27=26']
Exploring Operation: 1+26=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
88,
84,
87,
96
] | 63 | [
"88-84=4",
"96/4=24",
"87-24=63"
] | Current State: 63:[88, 84, 87, 96], Operations: []
Exploring Operation: 88-84=4, Resulting Numbers: [87, 96, 4]
Generated Node #2: [87, 96, 4] from Operation: 88-84=4
Current State: 63:[87, 96, 4], Operations: ['88-84=4']
Exploring Operation: 96/4=24, Resulting Numbers: [87, 24]
Generated Node #3: [87, 24] from Operation: 96/4=24
Current State: 63:[87, 24], Operations: ['88-84=4', '96/4=24']
Exploring Operation: 87-24=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[88, 84, 87, 96], Operations: []
Exploring Operation: 96-88=8, Resulting Numbers: [84, 87, 8]
Generated Node #0,0: 63:[84, 87, 8] Operation: 96-88=8
Exploring Operation: 96-87=9, Resulting Numbers: [88, 84, 9]
Generated Node #0,1: 63:[88, 84, 9] Operation: 96-87=9
Exploring Operation: 96-84=12, Resulting Numbers: [88, 87, 12]
Generated Node #0,2: 63:[88, 87, 12] Operation: 96-84=12
Moving to Node #0,0
Current State: 63:[84, 87, 8], Operations: ['96-88=8']
Exploring Operation: 87-84=3, Resulting Numbers: [8, 3]
Generated Node #0,0,0: 63:[8, 3] Operation: 87-84=3
Exploring Operation: 87-8=79, Resulting Numbers: [84, 79]
Generated Node #0,0,1: 63:[84, 79] Operation: 87-8=79
Exploring Operation: 84-8=76, Resulting Numbers: [87, 76]
Generated Node #0,0,2: 63:[87, 76] Operation: 84-8=76
Moving to Node #0,1
Current State: 63:[88, 84, 9], Operations: ['96-87=9']
Exploring Operation: 84-9=75, Resulting Numbers: [88, 75]
Generated Node #0,1,0: 63:[88, 75] Operation: 84-9=75
Exploring Operation: 88-9=79, Resulting Numbers: [84, 79]
Generated Node #0,1,1: 63:[84, 79] Operation: 88-9=79
Exploring Operation: 88-84=4, Resulting Numbers: [9, 4]
Generated Node #0,1,2: 63:[9, 4] Operation: 88-84=4
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 63:[9, 4], Operations: ['96-87=9', '88-84=4']
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,63 unequal: No Solution
Exploring Operation: 9*4=36, Resulting Numbers: [36]
36,63 unequal: No Solution
Exploring Operation: 9+4=13, Resulting Numbers: [13]
13,63 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 #0,1,0
Current State: 63:[88, 75], Operations: ['96-87=9', '84-9=75']
Exploring Operation: 88+75=163, Resulting Numbers: [163]
163,63 unequal: No Solution
Exploring Operation: 88-75=13, Resulting Numbers: [13]
13,63 unequal: No Solution
Exploring Operation: 88*75=6600, Resulting Numbers: [6600]
6600,63 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 #0,1,1
Current State: 63:[84, 79], Operations: ['96-87=9', '88-9=79']
Exploring Operation: 84*79=6636, Resulting Numbers: [6636]
6636,63 unequal: No Solution
Exploring Operation: 84+79=163, Resulting Numbers: [163]
163,63 unequal: No Solution
Exploring Operation: 84-79=5, Resulting Numbers: [5]
5,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 63:[88, 87, 12], Operations: ['96-84=12']
Exploring Operation: 88-12=76, Resulting Numbers: [87, 76]
Generated Node #0,2,0: 63:[87, 76] Operation: 88-12=76
Exploring Operation: 87-12=75, Resulting Numbers: [88, 75]
Generated Node #0,2,1: 63:[88, 75] Operation: 87-12=75
Exploring Operation: 88-87=1, Resulting Numbers: [12, 1]
Generated Node #0,2,2: 63:[12, 1] Operation: 88-87=1
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 63:[12, 1], Operations: ['96-84=12', '88-87=1']
Exploring Operation: 12/1=12, Resulting Numbers: [12]
12,63 unequal: No Solution
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,63 unequal: No Solution
Exploring Operation: 12*1=12, Resulting Numbers: [12]
12,63 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 #0,2,0
Current State: 63:[87, 76], Operations: ['96-84=12', '88-12=76']
Exploring Operation: 87*76=6612, Resulting Numbers: [6612]
6612,63 unequal: No Solution
Exploring Operation: 87+76=163, Resulting Numbers: [163]
163,63 unequal: No Solution
Exploring Operation: 87-76=11, Resulting Numbers: [11]
11,63 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 #0,2,1
Current State: 63:[88, 75], Operations: ['96-84=12', '87-12=75']
Exploring Operation: 88-75=13, Resulting Numbers: [13]
13,63 unequal: No Solution
Exploring Operation: 88+75=163, Resulting Numbers: [163]
163,63 unequal: No Solution
Exploring Operation: 88*75=6600, Resulting Numbers: [6600]
6600,63 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: 63:[8, 3], Operations: ['96-88=8', '87-84=3']
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,63 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,63 unequal: No Solution
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,63 unequal: No Solution
Moving to Node #0,0,1
Current State: 63:[84, 79], Operations: ['96-88=8', '87-8=79']
Exploring Operation: 84-79=5, Resulting Numbers: [5]
5,63 unequal: No Solution
Exploring Operation: 84*79=6636, Resulting Numbers: [6636]
6636,63 unequal: No Solution
Exploring Operation: 84+79=163, Resulting Numbers: [163]
163,63 unequal: No Solution
Moving to Node #0,0,2
Current State: 63:[87, 76], Operations: ['96-88=8', '84-8=76']
Exploring Operation: 87+76=163, Resulting Numbers: [163]
163,63 unequal: No Solution
Exploring Operation: 87-76=11, Resulting Numbers: [11]
11,63 unequal: No Solution
Exploring Operation: 87*76=6612, Resulting Numbers: [6612]
6612,63 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
3,
53,
12,
9
] | 96 | [
"53-12=41",
"41-9=32",
"3*32=96"
] | Current State: 96:[3, 53, 12, 9], Operations: []
Exploring Operation: 53-12=41, Resulting Numbers: [3, 9, 41]
Generated Node #2: [3, 9, 41] from Operation: 53-12=41
Current State: 96:[3, 9, 41], Operations: ['53-12=41']
Exploring Operation: 41-9=32, Resulting Numbers: [3, 32]
Generated Node #3: [3, 32] from Operation: 41-9=32
Current State: 96:[3, 32], Operations: ['53-12=41', '41-9=32']
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[3, 53, 12, 9], Operations: []
Exploring Operation: 9/3=3, Resulting Numbers: [53, 12, 3]
Generated Node #0,0: 96:[53, 12, 3] Operation: 9/3=3
Exploring Operation: 53-9=44, Resulting Numbers: [3, 12, 44]
Generated Node #0,1: 96:[3, 12, 44] Operation: 53-9=44
Exploring Operation: 9-3=6, Resulting Numbers: [53, 12, 6]
Generated Node #0,2: 96:[53, 12, 6] Operation: 9-3=6
Exploring Operation: 3+9=12, Resulting Numbers: [53, 12, 12]
Generated Node #0,3: 96:[53, 12, 12] Operation: 3+9=12
Exploring Operation: 53-3=50, Resulting Numbers: [12, 9, 50]
Generated Node #0,4: 96:[12, 9, 50] Operation: 53-3=50
Moving to Node #0,4
Current State: 96:[12, 9, 50], Operations: ['53-3=50']
Exploring Operation: 50-9=41, Resulting Numbers: [12, 41]
Generated Node #0,4,0: 96:[12, 41] Operation: 50-9=41
Exploring Operation: 12+9=21, Resulting Numbers: [50, 21]
Generated Node #0,4,1: 96:[50, 21] Operation: 12+9=21
Exploring Operation: 9+50=59, Resulting Numbers: [12, 59]
Generated Node #0,4,2: 96:[12, 59] Operation: 9+50=59
Exploring Operation: 12-9=3, Resulting Numbers: [50, 3]
Generated Node #0,4,3: 96:[50, 3] Operation: 12-9=3
Exploring Operation: 50-12=38, Resulting Numbers: [9, 38]
Generated Node #0,4,4: 96:[9, 38] Operation: 50-12=38
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 96:[50, 3], Operations: ['53-3=50', '12-9=3']
Exploring Operation: 50*3=150, Resulting Numbers: [150]
150,96 unequal: No Solution
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,96 unequal: No Solution
Exploring Operation: 50+3=53, Resulting Numbers: [53]
53,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 96:[50, 21], Operations: ['53-3=50', '12+9=21']
Exploring Operation: 50*21=1050, Resulting Numbers: [1050]
1050,96 unequal: No Solution
Exploring Operation: 50+21=71, Resulting Numbers: [71]
71,96 unequal: No Solution
Exploring Operation: 50-21=29, Resulting Numbers: [29]
29,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 96:[12, 41], Operations: ['53-3=50', '50-9=41']
Exploring Operation: 41-12=29, Resulting Numbers: [29]
29,96 unequal: No Solution
Exploring Operation: 12+41=53, Resulting Numbers: [53]
53,96 unequal: No Solution
Exploring Operation: 12*41=492, Resulting Numbers: [492]
492,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 96:[9, 38], Operations: ['53-3=50', '50-12=38']
Exploring Operation: 9+38=47, Resulting Numbers: [47]
47,96 unequal: No Solution
Exploring Operation: 38-9=29, Resulting Numbers: [29]
29,96 unequal: No Solution
Exploring Operation: 9*38=342, Resulting Numbers: [342]
342,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 96:[12, 59], Operations: ['53-3=50', '9+50=59']
Exploring Operation: 12+59=71, Resulting Numbers: [71]
71,96 unequal: No Solution
Exploring Operation: 12*59=708, Resulting Numbers: [708]
708,96 unequal: No Solution
Exploring Operation: 59-12=47, Resulting Numbers: [47]
47,96 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: 96:[3, 12, 44], Operations: ['53-9=44']
Exploring Operation: 12/3=4, Resulting Numbers: [44, 4]
Generated Node #0,1,0: 96:[44, 4] Operation: 12/3=4
Exploring Operation: 44-12=32, Resulting Numbers: [3, 32]
Generated Node #0,1,1: 96:[3, 32] Operation: 44-12=32
Exploring Operation: 12-3=9, Resulting Numbers: [44, 9]
Generated Node #0,1,2: 96:[44, 9] Operation: 12-3=9
Exploring Operation: 3+12=15, Resulting Numbers: [44, 15]
Generated Node #0,1,3: 96:[44, 15] Operation: 3+12=15
Exploring Operation: 3+44=47, Resulting Numbers: [12, 47]
Generated Node #0,1,4: 96:[12, 47] Operation: 3+44=47
Moving to Node #0,0
Current State: 96:[53, 12, 3], Operations: ['9/3=3']
Exploring Operation: 53-3=50, Resulting Numbers: [12, 50]
Generated Node #0,0,0: 96:[12, 50] Operation: 53-3=50
Exploring Operation: 12+3=15, Resulting Numbers: [53, 15]
Generated Node #0,0,1: 96:[53, 15] Operation: 12+3=15
Exploring Operation: 12/3=4, Resulting Numbers: [53, 4]
Generated Node #0,0,2: 96:[53, 4] Operation: 12/3=4
Exploring Operation: 53-12=41, Resulting Numbers: [3, 41]
Generated Node #0,0,3: 96:[3, 41] Operation: 53-12=41
Exploring Operation: 12-3=9, Resulting Numbers: [53, 9]
Generated Node #0,0,4: 96:[53, 9] Operation: 12-3=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 96:[12, 50], Operations: ['9/3=3', '53-3=50']
Exploring Operation: 50-12=38, Resulting Numbers: [38]
38,96 unequal: No Solution
Exploring Operation: 12+50=62, Resulting Numbers: [62]
62,96 unequal: No Solution
Exploring Operation: 12*50=600, Resulting Numbers: [600]
600,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 96:[53, 4], Operations: ['9/3=3', '12/3=4']
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,96 unequal: No Solution
Exploring Operation: 53+4=57, Resulting Numbers: [57]
57,96 unequal: No Solution
Exploring Operation: 53*4=212, Resulting Numbers: [212]
212,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 96:[53, 15], Operations: ['9/3=3', '12+3=15']
Exploring Operation: 53+15=68, Resulting Numbers: [68]
68,96 unequal: No Solution
Exploring Operation: 53*15=795, Resulting Numbers: [795]
795,96 unequal: No Solution
Exploring Operation: 53-15=38, Resulting Numbers: [38]
38,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 96:[53, 9], Operations: ['9/3=3', '12-3=9']
Exploring Operation: 53-9=44, Resulting Numbers: [44]
44,96 unequal: No Solution
Exploring Operation: 53*9=477, Resulting Numbers: [477]
477,96 unequal: No Solution
Exploring Operation: 53+9=62, Resulting Numbers: [62]
62,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 96:[3, 41], Operations: ['9/3=3', '53-12=41']
Exploring Operation: 3*41=123, Resulting Numbers: [123]
123,96 unequal: No Solution
Exploring Operation: 3+41=44, Resulting Numbers: [44]
44,96 unequal: No Solution
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,96 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: 96:[53, 12, 6], Operations: ['9-3=6']
Exploring Operation: 12/6=2, Resulting Numbers: [53, 2]
Generated Node #0,2,0: 96:[53, 2] Operation: 12/6=2
Exploring Operation: 12+6=18, Resulting Numbers: [53, 18]
Generated Node #0,2,1: 96:[53, 18] Operation: 12+6=18
Exploring Operation: 53-12=41, Resulting Numbers: [6, 41]
Generated Node #0,2,2: 96:[6, 41] Operation: 53-12=41
Exploring Operation: 53-6=47, Resulting Numbers: [12, 47]
Generated Node #0,2,3: 96:[12, 47] Operation: 53-6=47
Exploring Operation: 12-6=6, Resulting Numbers: [53, 6]
Generated Node #0,2,4: 96:[53, 6] Operation: 12-6=6
Moving to Node #0,3
Current State: 96:[53, 12, 12], Operations: ['3+9=12']
Exploring Operation: 53-12=41, Resulting Numbers: [12, 41]
Generated Node #0,3,0: 96:[12, 41] Operation: 53-12=41
Exploring Operation: 12-12=0, Resulting Numbers: [53, 0]
Generated Node #0,3,1: 96:[53, 0] Operation: 12-12=0
Exploring Operation: 12/12=1, Resulting Numbers: [53, 1]
Generated Node #0,3,2: 96:[53, 1] Operation: 12/12=1
Exploring Operation: 53-12=41, Resulting Numbers: [12, 41]
Generated Node #0,3,3: 96:[12, 41] Operation: 53-12=41
Exploring Operation: 12+12=24, Resulting Numbers: [53, 24]
Generated Node #0,3,4: 96:[53, 24] Operation: 12+12=24
Moving to Node #0,1,1
Current State: 96:[3, 32], Operations: ['53-9=44', '44-12=32']
Exploring Operation: 3+32=35, Resulting Numbers: [35]
35,96 unequal: No Solution
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[3, 53, 12, 9], Operations: []
Exploring Operation: 53-9=44, Resulting Numbers: [3, 12, 44]
Generated Node #0,1: 96:[3, 12, 44] Operation: 53-9=44
Moving to Node #0,1
Current State: 96:[3, 12, 44], Operations: ['53-9=44']
Exploring Operation: 44-12=32, Resulting Numbers: [3, 32]
Generated Node #0,1,1: 96:[3, 32] Operation: 44-12=32
Moving to Node #0,1,1
Current State: 96:[3, 32], Operations: ['53-9=44', '44-12=32']
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 0.942708 | hs_5 | mult_heuristic |
[
11,
64,
28,
72
] | 16 | [
"11*64=704",
"72-28=44",
"704/44=16"
] | Current State: 16:[11, 64, 28, 72], Operations: []
Exploring Operation: 11*64=704, Resulting Numbers: [28, 72, 704]
Generated Node #2: [28, 72, 704] from Operation: 11*64=704
Current State: 16:[28, 72, 704], Operations: ['11*64=704']
Exploring Operation: 72-28=44, Resulting Numbers: [704, 44]
Generated Node #3: [704, 44] from Operation: 72-28=44
Current State: 16:[704, 44], Operations: ['11*64=704', '72-28=44']
Exploring Operation: 704/44=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[11, 64, 28, 72], Operations: []
Exploring Operation: 64-28=36, Resulting Numbers: [11, 72, 36]
Generated Node #0,0: 16:[11, 72, 36] Operation: 64-28=36
Exploring Operation: 72-28=44, Resulting Numbers: [11, 64, 44]
Generated Node #0,1: 16:[11, 64, 44] Operation: 72-28=44
Exploring Operation: 72-64=8, Resulting Numbers: [11, 28, 8]
Generated Node #0,2: 16:[11, 28, 8] Operation: 72-64=8
Start Sub Search at level 1: Moving to Node #0,2
Current State: 16:[11, 28, 8], Operations: ['72-64=8']
Exploring Operation: 28-11=17, Resulting Numbers: [8, 17]
Generated Node #0,2,0: 16:[8, 17] Operation: 28-11=17
Exploring Operation: 28-8=20, Resulting Numbers: [11, 20]
Generated Node #0,2,1: 16:[11, 20] Operation: 28-8=20
Exploring Operation: 11-8=3, Resulting Numbers: [28, 3]
Generated Node #0,2,2: 16:[28, 3] Operation: 11-8=3
Moving to Node #0,2,0
Current State: 16:[8, 17], Operations: ['72-64=8', '28-11=17']
Exploring Operation: 8*17=136, Resulting Numbers: [136]
136,16 unequal: No Solution
Exploring Operation: 8+17=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,16 unequal: No Solution
Moving to Node #0,2,1
Current State: 16:[11, 20], Operations: ['72-64=8', '28-8=20']
Exploring Operation: 11+20=31, Resulting Numbers: [31]
31,16 unequal: No Solution
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,16 unequal: No Solution
Exploring Operation: 11*20=220, Resulting Numbers: [220]
220,16 unequal: No Solution
Moving to Node #0,2,2
Current State: 16:[28, 3], Operations: ['72-64=8', '11-8=3']
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,16 unequal: No Solution
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[11, 72, 36], Operations: ['64-28=36']
Exploring Operation: 72/36=2, Resulting Numbers: [11, 2]
Generated Node #0,0,0: 16:[11, 2] Operation: 72/36=2
Exploring Operation: 72-11=61, Resulting Numbers: [36, 61]
Generated Node #0,0,1: 16:[36, 61] Operation: 72-11=61
Exploring Operation: 72-36=36, Resulting Numbers: [11, 36]
Generated Node #0,0,2: 16:[11, 36] Operation: 72-36=36
Moving to Node #0,0,0
Current State: 16:[11, 2], Operations: ['64-28=36', '72/36=2']
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,16 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,16 unequal: No Solution
Moving to Node #0,0,2
Current State: 16:[11, 36], Operations: ['64-28=36', '72-36=36']
Exploring Operation: 11+36=47, Resulting Numbers: [47]
47,16 unequal: No Solution
Exploring Operation: 36-11=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 11*36=396, Resulting Numbers: [396]
396,16 unequal: No Solution
Moving to Node #0,0,1
Current State: 16:[36, 61], Operations: ['64-28=36', '72-11=61']
Exploring Operation: 36*61=2196, Resulting Numbers: [2196]
2196,16 unequal: No Solution
Exploring Operation: 36+61=97, Resulting Numbers: [97]
97,16 unequal: No Solution
Exploring Operation: 61-36=25, Resulting Numbers: [25]
25,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 16:[11, 64, 44], Operations: ['72-28=44']
Exploring Operation: 44/11=4, Resulting Numbers: [64, 4]
Generated Node #0,1,0: 16:[64, 4] Operation: 44/11=4
Exploring Operation: 64-11=53, Resulting Numbers: [44, 53]
Generated Node #0,1,1: 16:[44, 53] Operation: 64-11=53
Exploring Operation: 64-44=20, Resulting Numbers: [11, 20]
Generated Node #0,1,2: 16:[11, 20] Operation: 64-44=20
Moving to Node #0,1,2
Current State: 16:[11, 20], Operations: ['72-28=44', '64-44=20']
Exploring Operation: 11+20=31, Resulting Numbers: [31]
31,16 unequal: No Solution
Exploring Operation: 11*20=220, Resulting Numbers: [220]
220,16 unequal: No Solution
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,16 unequal: No Solution
Moving to Node #0,1,0
Current State: 16:[64, 4], Operations: ['72-28=44', '44/11=4']
Exploring Operation: 64+4=68, Resulting Numbers: [68]
68,16 unequal: No Solution
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[11, 64, 28, 72], Operations: []
Exploring Operation: 72-28=44, Resulting Numbers: [11, 64, 44]
Generated Node #0,1: 16:[11, 64, 44] Operation: 72-28=44
Moving to Node #0,1
Current State: 16:[11, 64, 44], Operations: ['72-28=44']
Exploring Operation: 44/11=4, Resulting Numbers: [64, 4]
Generated Node #0,1,0: 16:[64, 4] Operation: 44/11=4
Moving to Node #0,1,0
Current State: 16:[64, 4], Operations: ['72-28=44', '44/11=4']
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.966146 | hs_3 | sum_heuristic |
[
64,
56,
84,
37
] | 14 | [
"64+84=148",
"56*37=2072",
"2072/148=14"
] | Current State: 14:[64, 56, 84, 37], Operations: []
Exploring Operation: 64+84=148, Resulting Numbers: [56, 37, 148]
Generated Node #2: [56, 37, 148] from Operation: 64+84=148
Current State: 14:[56, 37, 148], Operations: ['64+84=148']
Exploring Operation: 56*37=2072, Resulting Numbers: [148, 2072]
Generated Node #3: [148, 2072] from Operation: 56*37=2072
Current State: 14:[148, 2072], Operations: ['64+84=148', '56*37=2072']
Exploring Operation: 2072/148=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[64, 56, 84, 37], Operations: []
Exploring Operation: 84-64=20, Resulting Numbers: [56, 37, 20]
Generated Node #0,0: 14:[56, 37, 20] Operation: 84-64=20
Exploring Operation: 64-56=8, Resulting Numbers: [84, 37, 8]
Generated Node #0,1: 14:[84, 37, 8] Operation: 64-56=8
Exploring Operation: 84-56=28, Resulting Numbers: [64, 37, 28]
Generated Node #0,2: 14:[64, 37, 28] Operation: 84-56=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[56, 37, 20], Operations: ['84-64=20']
Exploring Operation: 56-20=36, Resulting Numbers: [37, 36]
Generated Node #0,0,0: 14:[37, 36] Operation: 56-20=36
Exploring Operation: 56-37=19, Resulting Numbers: [20, 19]
Generated Node #0,0,1: 14:[20, 19] Operation: 56-37=19
Exploring Operation: 37-20=17, Resulting Numbers: [56, 17]
Generated Node #0,0,2: 14:[56, 17] Operation: 37-20=17
Moving to Node #0,0,1
Current State: 14:[20, 19], Operations: ['84-64=20', '56-37=19']
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,14 unequal: No Solution
Exploring Operation: 20+19=39, Resulting Numbers: [39]
39,14 unequal: No Solution
Exploring Operation: 20*19=380, Resulting Numbers: [380]
380,14 unequal: No Solution
Moving to Node #0,0,0
Current State: 14:[37, 36], Operations: ['84-64=20', '56-20=36']
Exploring Operation: 37+36=73, Resulting Numbers: [73]
73,14 unequal: No Solution
Exploring Operation: 37-36=1, Resulting Numbers: [1]
1,14 unequal: No Solution
Exploring Operation: 37*36=1332, Resulting Numbers: [1332]
1332,14 unequal: No Solution
Moving to Node #0,0,2
Current State: 14:[56, 17], Operations: ['84-64=20', '37-20=17']
Exploring Operation: 56*17=952, Resulting Numbers: [952]
952,14 unequal: No Solution
Exploring Operation: 56-17=39, Resulting Numbers: [39]
39,14 unequal: No Solution
Exploring Operation: 56+17=73, Resulting Numbers: [73]
73,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 14:[64, 37, 28], Operations: ['84-56=28']
Exploring Operation: 64-28=36, Resulting Numbers: [37, 36]
Generated Node #0,2,0: 14:[37, 36] Operation: 64-28=36
Exploring Operation: 64-37=27, Resulting Numbers: [28, 27]
Generated Node #0,2,1: 14:[28, 27] Operation: 64-37=27
Exploring Operation: 37-28=9, Resulting Numbers: [64, 9]
Generated Node #0,2,2: 14:[64, 9] Operation: 37-28=9
Moving to Node #0,2,1
Current State: 14:[28, 27], Operations: ['84-56=28', '64-37=27']
Exploring Operation: 28+27=55, Resulting Numbers: [55]
55,14 unequal: No Solution
Exploring Operation: 28*27=756, Resulting Numbers: [756]
756,14 unequal: No Solution
Exploring Operation: 28-27=1, Resulting Numbers: [1]
1,14 unequal: No Solution
Moving to Node #0,2,0
Current State: 14:[37, 36], Operations: ['84-56=28', '64-28=36']
Exploring Operation: 37-36=1, Resulting Numbers: [1]
1,14 unequal: No Solution
Exploring Operation: 37*36=1332, Resulting Numbers: [1332]
1332,14 unequal: No Solution
Exploring Operation: 37+36=73, Resulting Numbers: [73]
73,14 unequal: No Solution
Moving to Node #0,2,2
Current State: 14:[64, 9], Operations: ['84-56=28', '37-28=9']
Exploring Operation: 64-9=55, Resulting Numbers: [55]
55,14 unequal: No Solution
Exploring Operation: 64*9=576, Resulting Numbers: [576]
576,14 unequal: No Solution
Exploring Operation: 64+9=73, Resulting Numbers: [73]
73,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 14:[84, 37, 8], Operations: ['64-56=8']
Exploring Operation: 84-8=76, Resulting Numbers: [37, 76]
Generated Node #0,1,0: 14:[37, 76] Operation: 84-8=76
Exploring Operation: 84-37=47, Resulting Numbers: [8, 47]
Generated Node #0,1,1: 14:[8, 47] Operation: 84-37=47
Exploring Operation: 37-8=29, Resulting Numbers: [84, 29]
Generated Node #0,1,2: 14:[84, 29] Operation: 37-8=29
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 14:[8, 47], Operations: ['64-56=8', '84-37=47']
Exploring Operation: 47-8=39, Resulting Numbers: [39]
39,14 unequal: No Solution
Exploring Operation: 8+47=55, Resulting Numbers: [55]
55,14 unequal: No Solution
Exploring Operation: 8*47=376, Resulting Numbers: [376]
376,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 14:[37, 76], Operations: ['64-56=8', '84-8=76']
Exploring Operation: 37+76=113, Resulting Numbers: [113]
113,14 unequal: No Solution
Exploring Operation: 76-37=39, Resulting Numbers: [39]
39,14 unequal: No Solution
Exploring Operation: 37*76=2812, Resulting Numbers: [2812]
2812,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 14:[84, 29], Operations: ['64-56=8', '37-8=29']
Exploring Operation: 84+29=113, Resulting Numbers: [113]
113,14 unequal: No Solution
Exploring Operation: 84*29=2436, Resulting Numbers: [2436]
2436,14 unequal: No Solution
Exploring Operation: 84-29=55, Resulting Numbers: [55]
55,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
11,
15,
71,
60
] | 16 | [
"71-11=60",
"60/60=1",
"15+1=16"
] | Current State: 16:[11, 15, 71, 60], Operations: []
Exploring Operation: 71-11=60, Resulting Numbers: [15, 60, 60]
Generated Node #2: [15, 60, 60] from Operation: 71-11=60
Current State: 16:[15, 60, 60], Operations: ['71-11=60']
Exploring Operation: 60/60=1, Resulting Numbers: [15, 1]
Generated Node #3: [15, 1] from Operation: 60/60=1
Current State: 16:[15, 1], Operations: ['71-11=60', '60/60=1']
Exploring Operation: 15+1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[11, 15, 71, 60], Operations: []
Exploring Operation: 71-60=11, Resulting Numbers: [11, 15, 11]
Generated Node #0,0: 16:[11, 15, 11] Operation: 71-60=11
Exploring Operation: 60/15=4, Resulting Numbers: [11, 71, 4]
Generated Node #0,1: 16:[11, 71, 4] Operation: 60/15=4
Exploring Operation: 71-15=56, Resulting Numbers: [11, 60, 56]
Generated Node #0,2: 16:[11, 60, 56] Operation: 71-15=56
Exploring Operation: 60-15=45, Resulting Numbers: [11, 71, 45]
Generated Node #0,3: 16:[11, 71, 45] Operation: 60-15=45
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[11, 15, 11], Operations: ['71-60=11']
Exploring Operation: 15-11=4, Resulting Numbers: [11, 4]
Generated Node #0,0,0: 16:[11, 4] Operation: 15-11=4
Exploring Operation: 11-11=0, Resulting Numbers: [15, 0]
Generated Node #0,0,1: 16:[15, 0] Operation: 11-11=0
Exploring Operation: 15-11=4, Resulting Numbers: [11, 4]
Generated Node #0,0,2: 16:[11, 4] Operation: 15-11=4
Exploring Operation: 11/11=1, Resulting Numbers: [15, 1]
Generated Node #0,0,3: 16:[15, 1] Operation: 11/11=1
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 16:[15, 1], Operations: ['71-60=11', '11/11=1']
Exploring Operation: 15*1=15, Resulting Numbers: [15]
15,16 unequal: No Solution
Exploring Operation: 15+1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[11, 15, 71, 60], Operations: []
Exploring Operation: 71-60=11, Resulting Numbers: [11, 15, 11]
Generated Node #0,0: 16:[11, 15, 11] Operation: 71-60=11
Moving to Node #0,0
Current State: 16:[11, 15, 11], Operations: ['71-60=11']
Exploring Operation: 11/11=1, Resulting Numbers: [15, 1]
Generated Node #0,0,3: 16:[15, 1] Operation: 11/11=1
Moving to Node #0,0,3
Current State: 16:[15, 1], Operations: ['71-60=11', '11/11=1']
Exploring Operation: 15+1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
29,
53,
84,
3
] | 52 | [
"53-29=24",
"84/3=28",
"24+28=52"
] | Current State: 52:[29, 53, 84, 3], Operations: []
Exploring Operation: 53-29=24, Resulting Numbers: [84, 3, 24]
Generated Node #2: [84, 3, 24] from Operation: 53-29=24
Current State: 52:[84, 3, 24], Operations: ['53-29=24']
Exploring Operation: 84/3=28, Resulting Numbers: [24, 28]
Generated Node #3: [24, 28] from Operation: 84/3=28
Current State: 52:[24, 28], Operations: ['53-29=24', '84/3=28']
Exploring Operation: 24+28=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[29, 53, 84, 3], Operations: []
Exploring Operation: 84-29=55, Resulting Numbers: [53, 3, 55]
Generated Node #0,0: 52:[53, 3, 55] Operation: 84-29=55
Moving to Node #0,0
Current State: 52:[53, 3, 55], Operations: ['84-29=55']
Exploring Operation: 55-53=2, Resulting Numbers: [3, 2]
Generated Node #0,0,0: 52:[3, 2] Operation: 55-53=2
Moving to Node #0,0,0
Current State: 52:[3, 2], Operations: ['84-29=55', '55-53=2']
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,52 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
86,
95,
77,
52
] | 75 | [
"95-52=43",
"86/43=2",
"77-2=75"
] | Current State: 75:[86, 95, 77, 52], Operations: []
Exploring Operation: 95-52=43, Resulting Numbers: [86, 77, 43]
Generated Node #2: [86, 77, 43] from Operation: 95-52=43
Current State: 75:[86, 77, 43], Operations: ['95-52=43']
Exploring Operation: 86/43=2, Resulting Numbers: [77, 2]
Generated Node #3: [77, 2] from Operation: 86/43=2
Current State: 75:[77, 2], Operations: ['95-52=43', '86/43=2']
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[86, 95, 77, 52], Operations: []
Exploring Operation: 95-86=9, Resulting Numbers: [77, 52, 9]
Generated Node #0,0: 75:[77, 52, 9] Operation: 95-86=9
Exploring Operation: 86-52=34, Resulting Numbers: [95, 77, 34]
Generated Node #0,1: 75:[95, 77, 34] Operation: 86-52=34
Moving to Node #0,0
Current State: 75:[77, 52, 9], Operations: ['95-86=9']
Exploring Operation: 52+9=61, Resulting Numbers: [77, 61]
Generated Node #0,0,0: 75:[77, 61] Operation: 52+9=61
Exploring Operation: 77-52=25, Resulting Numbers: [9, 25]
Generated Node #0,0,1: 75:[9, 25] Operation: 77-52=25
Moving to Node #0,1
Current State: 75:[95, 77, 34], Operations: ['86-52=34']
Exploring Operation: 95-77=18, Resulting Numbers: [34, 18]
Generated Node #0,1,0: 75:[34, 18] Operation: 95-77=18
Exploring Operation: 95-34=61, Resulting Numbers: [77, 61]
Generated Node #0,1,1: 75:[77, 61] Operation: 95-34=61
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 75:[34, 18], Operations: ['86-52=34', '95-77=18']
Exploring Operation: 34-18=16, Resulting Numbers: [16]
16,75 unequal: No Solution
Exploring Operation: 34+18=52, Resulting Numbers: [52]
52,75 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 #0,1,1
Current State: 75:[77, 61], Operations: ['86-52=34', '95-34=61']
Exploring Operation: 77-61=16, Resulting Numbers: [16]
16,75 unequal: No Solution
Exploring Operation: 77+61=138, Resulting Numbers: [138]
138,75 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: 75:[9, 25], Operations: ['95-86=9', '77-52=25']
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,75 unequal: No Solution
Exploring Operation: 9+25=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Moving to Node #0,0,0
Current State: 75:[77, 61], Operations: ['95-86=9', '52+9=61']
Exploring Operation: 77-61=16, Resulting Numbers: [16]
16,75 unequal: No Solution
Exploring Operation: 77+61=138, Resulting Numbers: [138]
138,75 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
62,
61,
1,
99
] | 98 | [
"62-61=1",
"1*99=99",
"99-1=98"
] | Current State: 98:[62, 61, 1, 99], Operations: []
Exploring Operation: 62-61=1, Resulting Numbers: [1, 99, 1]
Generated Node #2: [1, 99, 1] from Operation: 62-61=1
Current State: 98:[1, 99, 1], Operations: ['62-61=1']
Exploring Operation: 1*99=99, Resulting Numbers: [99]
99,98 equal: Goal Reached
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[62, 61, 1, 99], Operations: []
Exploring Operation: 61-1=60, Resulting Numbers: [62, 99, 60]
Generated Node #0,0: 98:[62, 99, 60] Operation: 61-1=60
Exploring Operation: 62-1=61, Resulting Numbers: [61, 99, 61]
Generated Node #0,1: 98:[61, 99, 61] Operation: 62-1=61
Exploring Operation: 99-62=37, Resulting Numbers: [61, 1, 37]
Generated Node #0,2: 98:[61, 1, 37] Operation: 99-62=37
Exploring Operation: 99-61=38, Resulting Numbers: [62, 1, 38]
Generated Node #0,3: 98:[62, 1, 38] Operation: 99-61=38
Exploring Operation: 62-61=1, Resulting Numbers: [1, 99, 1]
Generated Node #0,4: 98:[1, 99, 1] Operation: 62-61=1
Start Sub Search at level 1: Moving to Node #0,4
Current State: 98:[1, 99, 1], Operations: ['62-61=1']
Exploring Operation: 99/1=99, Resulting Numbers: [1, 99]
Generated Node #0,4,0: 98:[1, 99] Operation: 99/1=99
Exploring Operation: 1*99=99, Resulting Numbers: [1, 99]
Generated Node #0,4,1: 98:[1, 99] Operation: 1*99=99
Exploring Operation: 99-1=98, Resulting Numbers: [1, 98]
Generated Node #0,4,2: 98:[1, 98] Operation: 99-1=98
Exploring Operation: 99-1=98, Resulting Numbers: [1, 98]
Generated Node #0,4,3: 98:[1, 98] Operation: 99-1=98
Exploring Operation: 1+1=2, Resulting Numbers: [99, 2]
Generated Node #0,4,4: 98:[99, 2] Operation: 1+1=2
Moving to Node #0,4,2
Current State: 98:[1, 98], Operations: ['62-61=1', '99-1=98']
Exploring Operation: 98-1=97, Resulting Numbers: [97]
97,98 unequal: No Solution
Exploring Operation: 1*98=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[62, 61, 1, 99], Operations: []
Exploring Operation: 62-61=1, Resulting Numbers: [1, 99, 1]
Generated Node #0,4: 98:[1, 99, 1] Operation: 62-61=1
Moving to Node #0,4
Current State: 98:[1, 99, 1], Operations: ['62-61=1']
Exploring Operation: 99-1=98, Resulting Numbers: [1, 98]
Generated Node #0,4,2: 98:[1, 98] Operation: 99-1=98
Moving to Node #0,4,2
Current State: 98:[1, 98], Operations: ['62-61=1', '99-1=98']
Exploring Operation: 1*98=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
93,
66,
56,
14
] | 97 | [
"93-66=27",
"56+14=70",
"27+70=97"
] | Current State: 97:[93, 66, 56, 14], Operations: []
Exploring Operation: 93-66=27, Resulting Numbers: [56, 14, 27]
Generated Node #2: [56, 14, 27] from Operation: 93-66=27
Current State: 97:[56, 14, 27], Operations: ['93-66=27']
Exploring Operation: 56+14=70, Resulting Numbers: [27, 70]
Generated Node #3: [27, 70] from Operation: 56+14=70
Current State: 97:[27, 70], Operations: ['93-66=27', '56+14=70']
Exploring Operation: 27+70=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[93, 66, 56, 14], Operations: []
Exploring Operation: 56+14=70, Resulting Numbers: [93, 66, 70]
Generated Node #0,0: 97:[93, 66, 70] Operation: 56+14=70
Exploring Operation: 66+14=80, Resulting Numbers: [93, 56, 80]
Generated Node #0,1: 97:[93, 56, 80] Operation: 66+14=80
Exploring Operation: 93-14=79, Resulting Numbers: [66, 56, 79]
Generated Node #0,2: 97:[66, 56, 79] Operation: 93-14=79
Exploring Operation: 93+14=107, Resulting Numbers: [66, 56, 107]
Generated Node #0,3: 97:[66, 56, 107] Operation: 93+14=107
Moving to Node #0,0
Current State: 97:[93, 66, 70], Operations: ['56+14=70']
Exploring Operation: 93+66=159, Resulting Numbers: [70, 159]
Generated Node #0,0,0: 97:[70, 159] Operation: 93+66=159
Exploring Operation: 93+70=163, Resulting Numbers: [66, 163]
Generated Node #0,0,1: 97:[66, 163] Operation: 93+70=163
Exploring Operation: 66+70=136, Resulting Numbers: [93, 136]
Generated Node #0,0,2: 97:[93, 136] Operation: 66+70=136
Exploring Operation: 93-66=27, Resulting Numbers: [70, 27]
Generated Node #0,0,3: 97:[70, 27] Operation: 93-66=27
Moving to Node #0,1
Current State: 97:[93, 56, 80], Operations: ['66+14=80']
Exploring Operation: 80-56=24, Resulting Numbers: [93, 24]
Generated Node #0,1,0: 97:[93, 24] Operation: 80-56=24
Exploring Operation: 93+56=149, Resulting Numbers: [80, 149]
Generated Node #0,1,1: 97:[80, 149] Operation: 93+56=149
Exploring Operation: 56+80=136, Resulting Numbers: [93, 136]
Generated Node #0,1,2: 97:[93, 136] Operation: 56+80=136
Exploring Operation: 93-56=37, Resulting Numbers: [80, 37]
Generated Node #0,1,3: 97:[80, 37] Operation: 93-56=37
Moving to Node #0,3
Current State: 97:[66, 56, 107], Operations: ['93+14=107']
Exploring Operation: 107-56=51, Resulting Numbers: [66, 51]
Generated Node #0,3,0: 97:[66, 51] Operation: 107-56=51
Exploring Operation: 66+56=122, Resulting Numbers: [107, 122]
Generated Node #0,3,1: 97:[107, 122] Operation: 66+56=122
Exploring Operation: 66-56=10, Resulting Numbers: [107, 10]
Generated Node #0,3,2: 97:[107, 10] Operation: 66-56=10
Exploring Operation: 107-66=41, Resulting Numbers: [56, 41]
Generated Node #0,3,3: 97:[56, 41] Operation: 107-66=41
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 97:[107, 122], Operations: ['93+14=107', '66+56=122']
Exploring Operation: 107+122=229, Resulting Numbers: [229]
229,97 unequal: No Solution
Exploring Operation: 122-107=15, Resulting Numbers: [15]
15,97 unequal: No Solution
Exploring Operation: 107*122=13054, Resulting Numbers: [13054]
13054,97 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:[66, 51], Operations: ['93+14=107', '107-56=51']
Exploring Operation: 66+51=117, Resulting Numbers: [117]
117,97 unequal: No Solution
Exploring Operation: 66*51=3366, Resulting Numbers: [3366]
3366,97 unequal: No Solution
Exploring Operation: 66-51=15, Resulting Numbers: [15]
15,97 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:[107, 10], Operations: ['93+14=107', '66-56=10']
Exploring Operation: 107-10=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[93, 66, 56, 14], Operations: []
Exploring Operation: 93+14=107, Resulting Numbers: [66, 56, 107]
Generated Node #0,3: 97:[66, 56, 107] Operation: 93+14=107
Moving to Node #0,3
Current State: 97:[66, 56, 107], Operations: ['93+14=107']
Exploring Operation: 66-56=10, Resulting Numbers: [107, 10]
Generated Node #0,3,2: 97:[107, 10] Operation: 66-56=10
Moving to Node #0,3,2
Current State: 97:[107, 10], Operations: ['93+14=107', '66-56=10']
Exploring Operation: 107-10=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_4 | mult_heuristic |
[
37,
15,
2,
23
] | 82 | [
"37*2=74",
"23-15=8",
"74+8=82"
] | Current State: 82:[37, 15, 2, 23], Operations: []
Exploring Operation: 37*2=74, Resulting Numbers: [15, 23, 74]
Generated Node #2: [15, 23, 74] from Operation: 37*2=74
Current State: 82:[15, 23, 74], Operations: ['37*2=74']
Exploring Operation: 23-15=8, Resulting Numbers: [74, 8]
Generated Node #3: [74, 8] from Operation: 23-15=8
Current State: 82:[74, 8], Operations: ['37*2=74', '23-15=8']
Exploring Operation: 74+8=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[37, 15, 2, 23], Operations: []
Exploring Operation: 15+23=38, Resulting Numbers: [37, 2, 38]
Generated Node #0,0: 82:[37, 2, 38] Operation: 15+23=38
Exploring Operation: 23-15=8, Resulting Numbers: [37, 2, 8]
Generated Node #0,1: 82:[37, 2, 8] Operation: 23-15=8
Moving to Node #0,0
Current State: 82:[37, 2, 38], Operations: ['15+23=38']
Exploring Operation: 37+2=39, Resulting Numbers: [38, 39]
Generated Node #0,0,0: 82:[38, 39] Operation: 37+2=39
Exploring Operation: 38-37=1, Resulting Numbers: [2, 1]
Generated Node #0,0,1: 82:[2, 1] Operation: 38-37=1
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 82:[2, 1], Operations: ['15+23=38', '38-37=1']
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,82 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 82:[38, 39], Operations: ['15+23=38', '37+2=39']
Exploring Operation: 38+39=77, Resulting Numbers: [77]
77,82 unequal: No Solution
Exploring Operation: 39-38=1, Resulting Numbers: [1]
1,82 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: 82:[37, 2, 8], Operations: ['23-15=8']
Exploring Operation: 8/2=4, Resulting Numbers: [37, 4]
Generated Node #0,1,0: 82:[37, 4] Operation: 8/2=4
Exploring Operation: 37+8=45, Resulting Numbers: [2, 45]
Generated Node #0,1,1: 82:[2, 45] Operation: 37+8=45
Moving to Node #0,1,1
Current State: 82:[2, 45], Operations: ['23-15=8', '37+8=45']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,82 unequal: No Solution
Exploring Operation: 2+45=47, Resulting Numbers: [47]
47,82 unequal: No Solution
Moving to Node #0,1,0
Current State: 82:[37, 4], Operations: ['23-15=8', '8/2=4']
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,82 unequal: No Solution
Exploring Operation: 37+4=41, Resulting Numbers: [41]
41,82 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
84,
12,
44,
31
] | 68 | [
"84/12=7",
"44+31=75",
"75-7=68"
] | Current State: 68:[84, 12, 44, 31], Operations: []
Exploring Operation: 84/12=7, Resulting Numbers: [44, 31, 7]
Generated Node #2: [44, 31, 7] from Operation: 84/12=7
Current State: 68:[44, 31, 7], Operations: ['84/12=7']
Exploring Operation: 44+31=75, Resulting Numbers: [7, 75]
Generated Node #3: [7, 75] from Operation: 44+31=75
Current State: 68:[7, 75], Operations: ['84/12=7', '44+31=75']
Exploring Operation: 75-7=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[84, 12, 44, 31], Operations: []
Exploring Operation: 84-44=40, Resulting Numbers: [12, 31, 40]
Generated Node #0,0: 68:[12, 31, 40] Operation: 84-44=40
Exploring Operation: 84/12=7, Resulting Numbers: [44, 31, 7]
Generated Node #0,1: 68:[44, 31, 7] Operation: 84/12=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[12, 31, 40], Operations: ['84-44=40']
Exploring Operation: 31+40=71, Resulting Numbers: [12, 71]
Generated Node #0,0,0: 68:[12, 71] Operation: 31+40=71
Exploring Operation: 31-12=19, Resulting Numbers: [40, 19]
Generated Node #0,0,1: 68:[40, 19] Operation: 31-12=19
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 68:[12, 71], Operations: ['84-44=40', '31+40=71']
Exploring Operation: 12+71=83, Resulting Numbers: [83]
83,68 unequal: No Solution
Exploring Operation: 71-12=59, Resulting Numbers: [59]
59,68 unequal: No Solution
No 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: 68:[40, 19], Operations: ['84-44=40', '31-12=19']
Exploring Operation: 40-19=21, Resulting Numbers: [21]
21,68 unequal: No Solution
Exploring Operation: 40+19=59, Resulting Numbers: [59]
59,68 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: 68:[44, 31, 7], Operations: ['84/12=7']
Exploring Operation: 44-7=37, Resulting Numbers: [31, 37]
Generated Node #0,1,0: 68:[31, 37] Operation: 44-7=37
Exploring Operation: 44-31=13, Resulting Numbers: [7, 13]
Generated Node #0,1,1: 68:[7, 13] Operation: 44-31=13
Moving to Node #0,1,0
Current State: 68:[31, 37], Operations: ['84/12=7', '44-7=37']
Exploring Operation: 31+37=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[84, 12, 44, 31], Operations: []
Exploring Operation: 84/12=7, Resulting Numbers: [44, 31, 7]
Generated Node #0,1: 68:[44, 31, 7] Operation: 84/12=7
Moving to Node #0,1
Current State: 68:[44, 31, 7], Operations: ['84/12=7']
Exploring Operation: 44-7=37, Resulting Numbers: [31, 37]
Generated Node #0,1,0: 68:[31, 37] Operation: 44-7=37
Moving to Node #0,1,0
Current State: 68:[31, 37], Operations: ['84/12=7', '44-7=37']
Exploring Operation: 31+37=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | mult_heuristic |
[
30,
92,
28,
74
] | 16 | [
"92-30=62",
"74-28=46",
"62-46=16"
] | Current State: 16:[30, 92, 28, 74], Operations: []
Exploring Operation: 92-30=62, Resulting Numbers: [28, 74, 62]
Generated Node #2: [28, 74, 62] from Operation: 92-30=62
Current State: 16:[28, 74, 62], Operations: ['92-30=62']
Exploring Operation: 74-28=46, Resulting Numbers: [62, 46]
Generated Node #3: [62, 46] from Operation: 74-28=46
Current State: 16:[62, 46], Operations: ['92-30=62', '74-28=46']
Exploring Operation: 62-46=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[30, 92, 28, 74], Operations: []
Exploring Operation: 92-74=18, Resulting Numbers: [30, 28, 18]
Generated Node #0,0: 16:[30, 28, 18] Operation: 92-74=18
Exploring Operation: 92-30=62, Resulting Numbers: [28, 74, 62]
Generated Node #0,1: 16:[28, 74, 62] Operation: 92-30=62
Moving to Node #0,0
Current State: 16:[30, 28, 18], Operations: ['92-74=18']
Exploring Operation: 30-18=12, Resulting Numbers: [28, 12]
Generated Node #0,0,0: 16:[28, 12] Operation: 30-18=12
Exploring Operation: 30-28=2, Resulting Numbers: [18, 2]
Generated Node #0,0,1: 16:[18, 2] Operation: 30-28=2
Moving to Node #0,1
Current State: 16:[28, 74, 62], Operations: ['92-30=62']
Exploring Operation: 74-62=12, Resulting Numbers: [28, 12]
Generated Node #0,1,0: 16:[28, 12] Operation: 74-62=12
Exploring Operation: 74-28=46, Resulting Numbers: [62, 46]
Generated Node #0,1,1: 16:[62, 46] Operation: 74-28=46
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 16:[28, 12], Operations: ['92-30=62', '74-62=12']
Exploring Operation: 28-12=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[30, 92, 28, 74], Operations: []
Exploring Operation: 92-30=62, Resulting Numbers: [28, 74, 62]
Generated Node #0,1: 16:[28, 74, 62] Operation: 92-30=62
Moving to Node #0,1
Current State: 16:[28, 74, 62], Operations: ['92-30=62']
Exploring Operation: 74-62=12, Resulting Numbers: [28, 12]
Generated Node #0,1,0: 16:[28, 12] Operation: 74-62=12
Moving to Node #0,1,0
Current State: 16:[28, 12], Operations: ['92-30=62', '74-62=12']
Exploring Operation: 28-12=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
39,
78,
13,
39
] | 15 | [
"39*13=507",
"78+507=585",
"585/39=15"
] | Current State: 15:[39, 78, 13, 39], Operations: []
Exploring Operation: 39*13=507, Resulting Numbers: [78, 507]
Generated Node #2: [78, 507] from Operation: 39*13=507
Current State: 15:[78, 507], Operations: ['39*13=507']
Exploring Operation: 78+507=585, Resulting Numbers: [585]
585,15 equal: Goal Reached
Exploring Operation: 585/39=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[39, 78, 13, 39], Operations: []
Exploring Operation: 78-39=39, Resulting Numbers: [13, 39, 39]
Generated Node #0,0: 15:[13, 39, 39] Operation: 78-39=39
Exploring Operation: 78/39=2, Resulting Numbers: [13, 39, 2]
Generated Node #0,1: 15:[13, 39, 2] Operation: 78/39=2
Exploring Operation: 78/39=2, Resulting Numbers: [39, 13, 2]
Generated Node #0,2: 15:[39, 13, 2] Operation: 78/39=2
Exploring Operation: 78-39=39, Resulting Numbers: [39, 13, 39]
Generated Node #0,3: 15:[39, 13, 39] Operation: 78-39=39
Exploring Operation: 78/13=6, Resulting Numbers: [39, 39, 6]
Generated Node #0,4: 15:[39, 39, 6] Operation: 78/13=6
Moving to Node #0,1
Current State: 15:[13, 39, 2], Operations: ['78/39=2']
Exploring Operation: 39-13=26, Resulting Numbers: [2, 26]
Generated Node #0,1,0: 15:[2, 26] Operation: 39-13=26
Exploring Operation: 13-2=11, Resulting Numbers: [39, 11]
Generated Node #0,1,1: 15:[39, 11] Operation: 13-2=11
Exploring Operation: 39-2=37, Resulting Numbers: [13, 37]
Generated Node #0,1,2: 15:[13, 37] Operation: 39-2=37
Exploring Operation: 39/13=3, Resulting Numbers: [2, 3]
Generated Node #0,1,3: 15:[2, 3] Operation: 39/13=3
Exploring Operation: 13+2=15, Resulting Numbers: [39, 15]
Generated Node #0,1,4: 15:[39, 15] Operation: 13+2=15
Moving to Node #0,2
Current State: 15:[39, 13, 2], Operations: ['78/39=2']
Exploring Operation: 39-2=37, Resulting Numbers: [13, 37]
Generated Node #0,2,0: 15:[13, 37] Operation: 39-2=37
Exploring Operation: 39-13=26, Resulting Numbers: [2, 26]
Generated Node #0,2,1: 15:[2, 26] Operation: 39-13=26
Exploring Operation: 39/13=3, Resulting Numbers: [2, 3]
Generated Node #0,2,2: 15:[2, 3] Operation: 39/13=3
Exploring Operation: 39+2=41, Resulting Numbers: [13, 41]
Generated Node #0,2,3: 15:[13, 41] Operation: 39+2=41
Exploring Operation: 13+2=15, Resulting Numbers: [39, 15]
Generated Node #0,2,4: 15:[39, 15] Operation: 13+2=15
Moving to Node #0,4
Current State: 15:[39, 39, 6], Operations: ['78/13=6']
Exploring Operation: 39-6=33, Resulting Numbers: [39, 33]
Generated Node #0,4,0: 15:[39, 33] Operation: 39-6=33
Exploring Operation: 39-6=33, Resulting Numbers: [39, 33]
Generated Node #0,4,1: 15:[39, 33] Operation: 39-6=33
Exploring Operation: 39-39=0, Resulting Numbers: [6, 0]
Generated Node #0,4,2: 15:[6, 0] Operation: 39-39=0
Exploring Operation: 39/39=1, Resulting Numbers: [6, 1]
Generated Node #0,4,3: 15:[6, 1] Operation: 39/39=1
Exploring Operation: 39+6=45, Resulting Numbers: [39, 45]
Generated Node #0,4,4: 15:[39, 45] Operation: 39+6=45
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 15:[6, 1], Operations: ['78/13=6', '39/39=1']
Exploring Operation: 6*1=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Exploring Operation: 6+1=7, Resulting Numbers: [7]
7,15 unequal: No Solution
Exploring Operation: 6-1=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 6/1=6, Resulting Numbers: [6]
6,15 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 #0,4,2
Current State: 15:[6, 0], Operations: ['78/13=6', '39-39=0']
Exploring Operation: 6+0=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Exploring Operation: 6-0=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Exploring Operation: 6*0=0, Resulting Numbers: [0]
0,15 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 #0,4,0
Current State: 15:[39, 33], Operations: ['78/13=6', '39-6=33']
Exploring Operation: 39-33=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Exploring Operation: 39+33=72, Resulting Numbers: [72]
72,15 unequal: No Solution
Exploring Operation: 39*33=1287, Resulting Numbers: [1287]
1287,15 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 #0,4,1
Current State: 15:[39, 33], Operations: ['78/13=6', '39-6=33']
Exploring Operation: 39+33=72, Resulting Numbers: [72]
72,15 unequal: No Solution
Exploring Operation: 39*33=1287, Resulting Numbers: [1287]
1287,15 unequal: No Solution
Exploring Operation: 39-33=6, Resulting Numbers: [6]
6,15 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 #0,4,4
Current State: 15:[39, 45], Operations: ['78/13=6', '39+6=45']
Exploring Operation: 39+45=84, Resulting Numbers: [84]
84,15 unequal: No Solution
Exploring Operation: 39*45=1755, Resulting Numbers: [1755]
1755,15 unequal: No Solution
Exploring Operation: 45-39=6, Resulting Numbers: [6]
6,15 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: 15:[13, 39, 39], Operations: ['78-39=39']
Exploring Operation: 39-39=0, Resulting Numbers: [13, 0]
Generated Node #0,0,0: 15:[13, 0] Operation: 39-39=0
Exploring Operation: 39/13=3, Resulting Numbers: [39, 3]
Generated Node #0,0,1: 15:[39, 3] Operation: 39/13=3
Exploring Operation: 39-13=26, Resulting Numbers: [39, 26]
Generated Node #0,0,2: 15:[39, 26] Operation: 39-13=26
Exploring Operation: 39/39=1, Resulting Numbers: [13, 1]
Generated Node #0,0,3: 15:[13, 1] Operation: 39/39=1
Exploring Operation: 39/13=3, Resulting Numbers: [39, 3]
Generated Node #0,0,4: 15:[39, 3] Operation: 39/13=3
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 15:[13, 1], Operations: ['78-39=39', '39/39=1']
Exploring Operation: 13/1=13, Resulting Numbers: [13]
13,15 unequal: No Solution
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,15 unequal: No Solution
Exploring Operation: 13+1=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 13*1=13, Resulting Numbers: [13]
13,15 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 #0,0,0
Current State: 15:[13, 0], Operations: ['78-39=39', '39-39=0']
Exploring Operation: 13*0=0, Resulting Numbers: [0]
0,15 unequal: No Solution
Exploring Operation: 13+0=13, Resulting Numbers: [13]
13,15 unequal: No Solution
Exploring Operation: 13-0=13, Resulting Numbers: [13]
13,15 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 #0,0,1
Current State: 15:[39, 3], Operations: ['78-39=39', '39/13=3']
Exploring Operation: 39+3=42, Resulting Numbers: [42]
42,15 unequal: No Solution
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,15 unequal: No Solution
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,15 unequal: No Solution
Exploring Operation: 39*3=117, Resulting Numbers: [117]
117,15 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 #0,0,4
Current State: 15:[39, 3], Operations: ['78-39=39', '39/13=3']
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,15 unequal: No Solution
Exploring Operation: 39+3=42, Resulting Numbers: [42]
42,15 unequal: No Solution
Exploring Operation: 39*3=117, Resulting Numbers: [117]
117,15 unequal: No Solution
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,15 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 #0,0,2
Current State: 15:[39, 26], Operations: ['78-39=39', '39-13=26']
Exploring Operation: 39+26=65, Resulting Numbers: [65]
65,15 unequal: No Solution
Exploring Operation: 39*26=1014, Resulting Numbers: [1014]
1014,15 unequal: No Solution
Exploring Operation: 39-26=13, Resulting Numbers: [13]
13,15 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: 15:[39, 13, 39], Operations: ['78-39=39']
Exploring Operation: 39-39=0, Resulting Numbers: [13, 0]
Generated Node #0,3,0: 15:[13, 0] Operation: 39-39=0
Exploring Operation: 39/13=3, Resulting Numbers: [39, 3]
Generated Node #0,3,1: 15:[39, 3] Operation: 39/13=3
Exploring Operation: 39/39=1, Resulting Numbers: [13, 1]
Generated Node #0,3,2: 15:[13, 1] Operation: 39/39=1
Exploring Operation: 39/13=3, Resulting Numbers: [39, 3]
Generated Node #0,3,3: 15:[39, 3] Operation: 39/13=3
Exploring Operation: 39-13=26, Resulting Numbers: [39, 26]
Generated Node #0,3,4: 15:[39, 26] Operation: 39-13=26
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 15:[13, 1], Operations: ['78-39=39', '39/39=1']
Exploring Operation: 13*1=13, Resulting Numbers: [13]
13,15 unequal: No Solution
Exploring Operation: 13+1=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,15 unequal: No Solution
Exploring Operation: 13/1=13, Resulting Numbers: [13]
13,15 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 #0,3,0
Current State: 15:[13, 0], Operations: ['78-39=39', '39-39=0']
Exploring Operation: 13-0=13, Resulting Numbers: [13]
13,15 unequal: No Solution
Exploring Operation: 13+0=13, Resulting Numbers: [13]
13,15 unequal: No Solution
Exploring Operation: 13*0=0, Resulting Numbers: [0]
0,15 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 #0,3,1
Current State: 15:[39, 3], Operations: ['78-39=39', '39/13=3']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,15 unequal: No Solution
Exploring Operation: 39*3=117, Resulting Numbers: [117]
117,15 unequal: No Solution
Exploring Operation: 39+3=42, Resulting Numbers: [42]
42,15 unequal: No Solution
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,15 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 #0,3,3
Current State: 15:[39, 3], Operations: ['78-39=39', '39/13=3']
Exploring Operation: 39+3=42, Resulting Numbers: [42]
42,15 unequal: No Solution
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,15 unequal: No Solution
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,15 unequal: No Solution
Exploring Operation: 39*3=117, Resulting Numbers: [117]
117,15 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 #0,3,4
Current State: 15:[39, 26], Operations: ['78-39=39', '39-13=26']
Exploring Operation: 39-26=13, Resulting Numbers: [13]
13,15 unequal: No Solution
Exploring Operation: 39+26=65, Resulting Numbers: [65]
65,15 unequal: No Solution
Exploring Operation: 39*26=1014, Resulting Numbers: [1014]
1014,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,3
Current State: 15:[2, 3], Operations: ['78/39=2', '39/13=3']
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Moving to Node #0,2,2
Current State: 15:[2, 3], Operations: ['78/39=2', '39/13=3']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Moving to Node #0,2,1
Current State: 15:[2, 26], Operations: ['78/39=2', '39-13=26']
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,15 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,15 unequal: No Solution
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,15 unequal: No Solution
Moving to Node #0,1,0
Current State: 15:[2, 26], Operations: ['78/39=2', '39-13=26']
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,15 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,15 unequal: No Solution
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,15 unequal: No Solution
Moving to Node #0,1,2
Current State: 15:[13, 37], Operations: ['78/39=2', '39-2=37']
Exploring Operation: 37-13=24, Resulting Numbers: [24]
24,15 unequal: No Solution
Exploring Operation: 13+37=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Exploring Operation: 13*37=481, Resulting Numbers: [481]
481,15 unequal: No Solution
Moving to Node #0,2,4
Current State: 15:[39, 15], Operations: ['78/39=2', '13+2=15']
Exploring Operation: 39+15=54, Resulting Numbers: [54]
54,15 unequal: No Solution
Exploring Operation: 39-15=24, Resulting Numbers: [24]
24,15 unequal: No Solution
Exploring Operation: 39*15=585, Resulting Numbers: [585]
585,15 unequal: No Solution
Moving to Node #0,1,4
Current State: 15:[39, 15], Operations: ['78/39=2', '13+2=15']
Exploring Operation: 39+15=54, Resulting Numbers: [54]
54,15 unequal: No Solution
Exploring Operation: 39-15=24, Resulting Numbers: [24]
24,15 unequal: No Solution
Exploring Operation: 39*15=585, Resulting Numbers: [585]
585,15 unequal: No Solution
Moving to Node #0,2,0
Current State: 15:[13, 37], Operations: ['78/39=2', '39-2=37']
Exploring Operation: 13*37=481, Resulting Numbers: [481]
481,15 unequal: No Solution
Exploring Operation: 37-13=24, Resulting Numbers: [24]
24,15 unequal: No Solution
Exploring Operation: 13+37=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Moving to Node #0,1,1
Current State: 15:[39, 11], Operations: ['78/39=2', '13-2=11']
Exploring Operation: 39+11=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Exploring Operation: 39*11=429, Resulting Numbers: [429]
429,15 unequal: No Solution
Exploring Operation: 39-11=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Moving to Node #0,2,3
Current State: 15:[13, 41], Operations: ['78/39=2', '39+2=41']
Exploring Operation: 13+41=54, Resulting Numbers: [54]
54,15 unequal: No Solution
Exploring Operation: 41-13=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Exploring Operation: 13*41=533, Resulting Numbers: [533]
533,15 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
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