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 |
|---|---|---|---|---|---|---|---|---|
[
5,
5,
63,
50
] | 90 | [
"5+63=68",
"68-50=18",
"5*18=90"
] | Current State: 90:[5, 5, 63, 50], Operations: []
Exploring Operation: 5+63=68, Resulting Numbers: [50, 68]
Generated Node #2: [50, 68] from Operation: 5+63=68
Current State: 90:[50, 68], Operations: ['5+63=68']
Exploring Operation: 68-50=18, Resulting Numbers: [18]
18,90 equal: Goal Reached
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[5, 5, 63, 50], Operations: []
Exploring Operation: 63-5=58, Resulting Numbers: [5, 50, 58]
Generated Node #0,0: 90:[5, 50, 58] Operation: 63-5=58
Exploring Operation: 50/5=10, Resulting Numbers: [5, 63, 10]
Generated Node #0,1: 90:[5, 63, 10] Operation: 50/5=10
Exploring Operation: 50-5=45, Resulting Numbers: [5, 63, 45]
Generated Node #0,2: 90:[5, 63, 45] Operation: 50-5=45
Exploring Operation: 63-5=58, Resulting Numbers: [5, 50, 58]
Generated Node #0,3: 90:[5, 50, 58] Operation: 63-5=58
Exploring Operation: 63-50=13, Resulting Numbers: [5, 5, 13]
Generated Node #0,4: 90:[5, 5, 13] Operation: 63-50=13
Start Sub Search at level 1: Moving to Node #0,4
Current State: 90:[5, 5, 13], Operations: ['63-50=13']
Exploring Operation: 13-5=8, Resulting Numbers: [5, 8]
Generated Node #0,4,0: 90:[5, 8] Operation: 13-5=8
Exploring Operation: 5+13=18, Resulting Numbers: [5, 18]
Generated Node #0,4,1: 90:[5, 18] Operation: 5+13=18
Exploring Operation: 5+13=18, Resulting Numbers: [5, 18]
Generated Node #0,4,2: 90:[5, 18] Operation: 5+13=18
Exploring Operation: 5+5=10, Resulting Numbers: [13, 10]
Generated Node #0,4,3: 90:[13, 10] Operation: 5+5=10
Exploring Operation: 13-5=8, Resulting Numbers: [5, 8]
Generated Node #0,4,4: 90:[5, 8] Operation: 13-5=8
Moving to Node #0,4,1
Current State: 90:[5, 18], Operations: ['63-50=13', '5+13=18']
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[5, 5, 63, 50], Operations: []
Exploring Operation: 63-50=13, Resulting Numbers: [5, 5, 13]
Generated Node #0,4: 90:[5, 5, 13] Operation: 63-50=13
Moving to Node #0,4
Current State: 90:[5, 5, 13], Operations: ['63-50=13']
Exploring Operation: 5+13=18, Resulting Numbers: [5, 18]
Generated Node #0,4,1: 90:[5, 18] Operation: 5+13=18
Moving to Node #0,4,1
Current State: 90:[5, 18], Operations: ['63-50=13', '5+13=18']
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
39,
24,
89,
72
] | 53 | [
"89-39=50",
"72/24=3",
"50+3=53"
] | Current State: 53:[39, 24, 89, 72], Operations: []
Exploring Operation: 89-39=50, Resulting Numbers: [24, 72, 50]
Generated Node #2: [24, 72, 50] from Operation: 89-39=50
Current State: 53:[24, 72, 50], Operations: ['89-39=50']
Exploring Operation: 72/24=3, Resulting Numbers: [50, 3]
Generated Node #3: [50, 3] from Operation: 72/24=3
Current State: 53:[50, 3], Operations: ['89-39=50', '72/24=3']
Exploring Operation: 50+3=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[39, 24, 89, 72], Operations: []
Exploring Operation: 89-24=65, Resulting Numbers: [39, 72, 65]
Generated Node #0,0: 53:[39, 72, 65] Operation: 89-24=65
Exploring Operation: 39+24=63, Resulting Numbers: [89, 72, 63]
Generated Node #0,1: 53:[89, 72, 63] Operation: 39+24=63
Exploring Operation: 72-24=48, Resulting Numbers: [39, 89, 48]
Generated Node #0,2: 53:[39, 89, 48] Operation: 72-24=48
Exploring Operation: 89-39=50, Resulting Numbers: [24, 72, 50]
Generated Node #0,3: 53:[24, 72, 50] Operation: 89-39=50
Exploring Operation: 89-72=17, Resulting Numbers: [39, 24, 17]
Generated Node #0,4: 53:[39, 24, 17] Operation: 89-72=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[39, 72, 65], Operations: ['89-24=65']
Exploring Operation: 39+72=111, Resulting Numbers: [65, 111]
Generated Node #0,0,0: 53:[65, 111] Operation: 39+72=111
Exploring Operation: 65-39=26, Resulting Numbers: [72, 26]
Generated Node #0,0,1: 53:[72, 26] Operation: 65-39=26
Exploring Operation: 72-65=7, Resulting Numbers: [39, 7]
Generated Node #0,0,2: 53:[39, 7] Operation: 72-65=7
Exploring Operation: 72-39=33, Resulting Numbers: [65, 33]
Generated Node #0,0,3: 53:[65, 33] Operation: 72-39=33
Exploring Operation: 39+65=104, Resulting Numbers: [72, 104]
Generated Node #0,0,4: 53:[72, 104] Operation: 39+65=104
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 53:[65, 33], Operations: ['89-24=65', '72-39=33']
Exploring Operation: 65*33=2145, Resulting Numbers: [2145]
2145,53 unequal: No Solution
Exploring Operation: 65+33=98, Resulting Numbers: [98]
98,53 unequal: No Solution
Exploring Operation: 65-33=32, Resulting Numbers: [32]
32,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 53:[72, 26], Operations: ['89-24=65', '65-39=26']
Exploring Operation: 72+26=98, Resulting Numbers: [98]
98,53 unequal: No Solution
Exploring Operation: 72*26=1872, Resulting Numbers: [1872]
1872,53 unequal: No Solution
Exploring Operation: 72-26=46, Resulting Numbers: [46]
46,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 53:[39, 7], Operations: ['89-24=65', '72-65=7']
Exploring Operation: 39*7=273, Resulting Numbers: [273]
273,53 unequal: No Solution
Exploring Operation: 39+7=46, Resulting Numbers: [46]
46,53 unequal: No Solution
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 53:[65, 111], Operations: ['89-24=65', '39+72=111']
Exploring Operation: 65+111=176, Resulting Numbers: [176]
176,53 unequal: No Solution
Exploring Operation: 65*111=7215, Resulting Numbers: [7215]
7215,53 unequal: No Solution
Exploring Operation: 111-65=46, Resulting Numbers: [46]
46,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 53:[72, 104], Operations: ['89-24=65', '39+65=104']
Exploring Operation: 72*104=7488, Resulting Numbers: [7488]
7488,53 unequal: No Solution
Exploring Operation: 72+104=176, Resulting Numbers: [176]
176,53 unequal: No Solution
Exploring Operation: 104-72=32, Resulting Numbers: [32]
32,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 53:[24, 72, 50], Operations: ['89-39=50']
Exploring Operation: 50-24=26, Resulting Numbers: [72, 26]
Generated Node #0,3,0: 53:[72, 26] Operation: 50-24=26
Exploring Operation: 72/24=3, Resulting Numbers: [50, 3]
Generated Node #0,3,1: 53:[50, 3] Operation: 72/24=3
Exploring Operation: 72-24=48, Resulting Numbers: [50, 48]
Generated Node #0,3,2: 53:[50, 48] Operation: 72-24=48
Exploring Operation: 24+50=74, Resulting Numbers: [72, 74]
Generated Node #0,3,3: 53:[72, 74] Operation: 24+50=74
Exploring Operation: 24+72=96, Resulting Numbers: [50, 96]
Generated Node #0,3,4: 53:[50, 96] Operation: 24+72=96
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 53:[50, 48], Operations: ['89-39=50', '72-24=48']
Exploring Operation: 50+48=98, Resulting Numbers: [98]
98,53 unequal: No Solution
Exploring Operation: 50*48=2400, Resulting Numbers: [2400]
2400,53 unequal: No Solution
Exploring Operation: 50-48=2, Resulting Numbers: [2]
2,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 53:[72, 74], Operations: ['89-39=50', '24+50=74']
Exploring Operation: 72*74=5328, Resulting Numbers: [5328]
5328,53 unequal: No Solution
Exploring Operation: 72+74=146, Resulting Numbers: [146]
146,53 unequal: No Solution
Exploring Operation: 74-72=2, Resulting Numbers: [2]
2,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 53:[72, 26], Operations: ['89-39=50', '50-24=26']
Exploring Operation: 72-26=46, Resulting Numbers: [46]
46,53 unequal: No Solution
Exploring Operation: 72+26=98, Resulting Numbers: [98]
98,53 unequal: No Solution
Exploring Operation: 72*26=1872, Resulting Numbers: [1872]
1872,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 53:[50, 96], Operations: ['89-39=50', '24+72=96']
Exploring Operation: 96-50=46, Resulting Numbers: [46]
46,53 unequal: No Solution
Exploring Operation: 50*96=4800, Resulting Numbers: [4800]
4800,53 unequal: No Solution
Exploring Operation: 50+96=146, Resulting Numbers: [146]
146,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 53:[50, 3], Operations: ['89-39=50', '72/24=3']
Exploring Operation: 50+3=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[39, 24, 89, 72], Operations: []
Exploring Operation: 89-39=50, Resulting Numbers: [24, 72, 50]
Generated Node #0,3: 53:[24, 72, 50] Operation: 89-39=50
Moving to Node #0,3
Current State: 53:[24, 72, 50], Operations: ['89-39=50']
Exploring Operation: 72/24=3, Resulting Numbers: [50, 3]
Generated Node #0,3,1: 53:[50, 3] Operation: 72/24=3
Moving to Node #0,3,1
Current State: 53:[50, 3], Operations: ['89-39=50', '72/24=3']
Exploring Operation: 50+3=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.959201 | hs_5 | mult_heuristic |
[
14,
26,
69,
16
] | 77 | [
"69*16=1104",
"1104-26=1078",
"1078/14=77"
] | Current State: 77:[14, 26, 69, 16], Operations: []
Exploring Operation: 69*16=1104, Resulting Numbers: [14, 26, 1104]
Generated Node #2: [14, 26, 1104] from Operation: 69*16=1104
Current State: 77:[14, 26, 1104], Operations: ['69*16=1104']
Exploring Operation: 1104-26=1078, Resulting Numbers: [14, 1078]
Generated Node #3: [14, 1078] from Operation: 1104-26=1078
Current State: 77:[14, 1078], Operations: ['69*16=1104', '1104-26=1078']
Exploring Operation: 1078/14=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[14, 26, 69, 16], Operations: []
Exploring Operation: 26-14=12, Resulting Numbers: [69, 16, 12]
Generated Node #0,0: 77:[69, 16, 12] Operation: 26-14=12
Exploring Operation: 26-16=10, Resulting Numbers: [14, 69, 10]
Generated Node #0,1: 77:[14, 69, 10] Operation: 26-16=10
Start Sub Search at level 1: Moving to Node #0,1
Current State: 77:[14, 69, 10], Operations: ['26-16=10']
Exploring Operation: 69+10=79, Resulting Numbers: [14, 79]
Generated Node #0,1,0: 77:[14, 79] Operation: 69+10=79
Exploring Operation: 14+69=83, Resulting Numbers: [10, 83]
Generated Node #0,1,1: 77:[10, 83] Operation: 14+69=83
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 77:[14, 79], Operations: ['26-16=10', '69+10=79']
Exploring Operation: 79-14=65, Resulting Numbers: [65]
65,77 unequal: No Solution
Exploring Operation: 14+79=93, Resulting Numbers: [93]
93,77 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 #0,1,1
Current State: 77:[10, 83], Operations: ['26-16=10', '14+69=83']
Exploring Operation: 83-10=73, Resulting Numbers: [73]
73,77 unequal: No Solution
Exploring Operation: 10+83=93, Resulting Numbers: [93]
93,77 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:[69, 16, 12], Operations: ['26-14=12']
Exploring Operation: 69+16=85, Resulting Numbers: [12, 85]
Generated Node #0,0,0: 77:[12, 85] Operation: 69+16=85
Exploring Operation: 69+12=81, Resulting Numbers: [16, 81]
Generated Node #0,0,1: 77:[16, 81] Operation: 69+12=81
Moving to Node #0,0,0
Current State: 77:[12, 85], Operations: ['26-14=12', '69+16=85']
Exploring Operation: 85-12=73, Resulting Numbers: [73]
73,77 unequal: No Solution
Exploring Operation: 12+85=97, Resulting Numbers: [97]
97,77 unequal: No Solution
Moving to Node #0,0,1
Current State: 77:[16, 81], Operations: ['26-14=12', '69+12=81']
Exploring Operation: 16+81=97, Resulting Numbers: [97]
97,77 unequal: No Solution
Exploring Operation: 81-16=65, Resulting Numbers: [65]
65,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
8,
91,
15,
9
] | 20 | [
"8*15=120",
"91+9=100",
"120-100=20"
] | Current State: 20:[8, 91, 15, 9], Operations: []
Exploring Operation: 8*15=120, Resulting Numbers: [91, 9, 120]
Generated Node #2: [91, 9, 120] from Operation: 8*15=120
Current State: 20:[91, 9, 120], Operations: ['8*15=120']
Exploring Operation: 91+9=100, Resulting Numbers: [120, 100]
Generated Node #3: [120, 100] from Operation: 91+9=100
Current State: 20:[120, 100], Operations: ['8*15=120', '91+9=100']
Exploring Operation: 120-100=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[8, 91, 15, 9], Operations: []
Exploring Operation: 91-8=83, Resulting Numbers: [15, 9, 83]
Generated Node #0,0: 20:[15, 9, 83] Operation: 91-8=83
Exploring Operation: 91-9=82, Resulting Numbers: [8, 15, 82]
Generated Node #0,1: 20:[8, 15, 82] Operation: 91-9=82
Exploring Operation: 91-15=76, Resulting Numbers: [8, 9, 76]
Generated Node #0,2: 20:[8, 9, 76] Operation: 91-15=76
Moving to Node #0,2
Current State: 20:[8, 9, 76], Operations: ['91-15=76']
Exploring Operation: 76-9=67, Resulting Numbers: [8, 67]
Generated Node #0,2,0: 20:[8, 67] Operation: 76-9=67
Exploring Operation: 76-8=68, Resulting Numbers: [9, 68]
Generated Node #0,2,1: 20:[9, 68] Operation: 76-8=68
Exploring Operation: 9-8=1, Resulting Numbers: [76, 1]
Generated Node #0,2,2: 20:[76, 1] Operation: 9-8=1
Moving to Node #0,0
Current State: 20:[15, 9, 83], Operations: ['91-8=83']
Exploring Operation: 83-9=74, Resulting Numbers: [15, 74]
Generated Node #0,0,0: 20:[15, 74] Operation: 83-9=74
Exploring Operation: 15-9=6, Resulting Numbers: [83, 6]
Generated Node #0,0,1: 20:[83, 6] Operation: 15-9=6
Exploring Operation: 83-15=68, Resulting Numbers: [9, 68]
Generated Node #0,0,2: 20:[9, 68] Operation: 83-15=68
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 20:[9, 68], Operations: ['91-8=83', '83-15=68']
Exploring Operation: 9+68=77, Resulting Numbers: [77]
77,20 unequal: No Solution
Exploring Operation: 9*68=612, Resulting Numbers: [612]
612,20 unequal: No Solution
Exploring Operation: 68-9=59, Resulting Numbers: [59]
59,20 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 #0,0,0
Current State: 20:[15, 74], Operations: ['91-8=83', '83-9=74']
Exploring Operation: 15+74=89, Resulting Numbers: [89]
89,20 unequal: No Solution
Exploring Operation: 15*74=1110, Resulting Numbers: [1110]
1110,20 unequal: No Solution
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,20 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 #0,0,1
Current State: 20:[83, 6], Operations: ['91-8=83', '15-9=6']
Exploring Operation: 83+6=89, Resulting Numbers: [89]
89,20 unequal: No Solution
Exploring Operation: 83-6=77, Resulting Numbers: [77]
77,20 unequal: No Solution
Exploring Operation: 83*6=498, Resulting Numbers: [498]
498,20 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: 20:[8, 15, 82], Operations: ['91-9=82']
Exploring Operation: 15-8=7, Resulting Numbers: [82, 7]
Generated Node #0,1,0: 20:[82, 7] Operation: 15-8=7
Exploring Operation: 82-15=67, Resulting Numbers: [8, 67]
Generated Node #0,1,1: 20:[8, 67] Operation: 82-15=67
Exploring Operation: 82-8=74, Resulting Numbers: [15, 74]
Generated Node #0,1,2: 20:[15, 74] Operation: 82-8=74
Moving to Node #0,2,0
Current State: 20:[8, 67], Operations: ['91-15=76', '76-9=67']
Exploring Operation: 67-8=59, Resulting Numbers: [59]
59,20 unequal: No Solution
Exploring Operation: 8+67=75, Resulting Numbers: [75]
75,20 unequal: No Solution
Exploring Operation: 8*67=536, Resulting Numbers: [536]
536,20 unequal: No Solution
Moving to Node #0,2,1
Current State: 20:[9, 68], Operations: ['91-15=76', '76-8=68']
Exploring Operation: 9*68=612, Resulting Numbers: [612]
612,20 unequal: No Solution
Exploring Operation: 9+68=77, Resulting Numbers: [77]
77,20 unequal: No Solution
Exploring Operation: 68-9=59, Resulting Numbers: [59]
59,20 unequal: No Solution
Moving to Node #0,1,1
Current State: 20:[8, 67], Operations: ['91-9=82', '82-15=67']
Exploring Operation: 8*67=536, Resulting Numbers: [536]
536,20 unequal: No Solution
Exploring Operation: 67-8=59, Resulting Numbers: [59]
59,20 unequal: No Solution
Exploring Operation: 8+67=75, Resulting Numbers: [75]
75,20 unequal: No Solution
Moving to Node #0,2,2
Current State: 20:[76, 1], Operations: ['91-15=76', '9-8=1']
Exploring Operation: 76*1=76, Resulting Numbers: [76]
76,20 unequal: No Solution
Exploring Operation: 76-1=75, Resulting Numbers: [75]
75,20 unequal: No Solution
Exploring Operation: 76/1=76, Resulting Numbers: [76]
76,20 unequal: No Solution
Moving to Node #0,1,2
Current State: 20:[15, 74], Operations: ['91-9=82', '82-8=74']
Exploring Operation: 15*74=1110, Resulting Numbers: [1110]
1110,20 unequal: No Solution
Exploring Operation: 15+74=89, Resulting Numbers: [89]
89,20 unequal: No Solution
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,20 unequal: No Solution
Moving to Node #0,1,0
Current State: 20:[82, 7], Operations: ['91-9=82', '15-8=7']
Exploring Operation: 82*7=574, Resulting Numbers: [574]
574,20 unequal: No Solution
Exploring Operation: 82+7=89, Resulting Numbers: [89]
89,20 unequal: No Solution
Exploring Operation: 82-7=75, Resulting Numbers: [75]
75,20 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
47,
91,
22,
75
] | 94 | [
"47-22=25",
"75/25=3",
"91+3=94"
] | Current State: 94:[47, 91, 22, 75], Operations: []
Exploring Operation: 47-22=25, Resulting Numbers: [91, 75, 25]
Generated Node #2: [91, 75, 25] from Operation: 47-22=25
Current State: 94:[91, 75, 25], Operations: ['47-22=25']
Exploring Operation: 75/25=3, Resulting Numbers: [91, 3]
Generated Node #3: [91, 3] from Operation: 75/25=3
Current State: 94:[91, 3], Operations: ['47-22=25', '75/25=3']
Exploring Operation: 91+3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[47, 91, 22, 75], Operations: []
Exploring Operation: 22+75=97, Resulting Numbers: [47, 91, 97]
Generated Node #0,0: 94:[47, 91, 97] Operation: 22+75=97
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[47, 91, 97], Operations: ['22+75=97']
Exploring Operation: 97-91=6, Resulting Numbers: [47, 6]
Generated Node #0,0,0: 94:[47, 6] Operation: 97-91=6
Moving to Node #0,0,0
Current State: 94:[47, 6], Operations: ['22+75=97', '97-91=6']
Exploring Operation: 47+6=53, Resulting Numbers: [53]
53,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
54,
78,
34,
30
] | 33 | [
"54+78=132",
"34-30=4",
"132/4=33"
] | Current State: 33:[54, 78, 34, 30], Operations: []
Exploring Operation: 54+78=132, Resulting Numbers: [34, 30, 132]
Generated Node #2: [34, 30, 132] from Operation: 54+78=132
Current State: 33:[34, 30, 132], Operations: ['54+78=132']
Exploring Operation: 34-30=4, Resulting Numbers: [132, 4]
Generated Node #3: [132, 4] from Operation: 34-30=4
Current State: 33:[132, 4], Operations: ['54+78=132', '34-30=4']
Exploring Operation: 132/4=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[54, 78, 34, 30], Operations: []
Exploring Operation: 78-30=48, Resulting Numbers: [54, 34, 48]
Generated Node #0,0: 33:[54, 34, 48] Operation: 78-30=48
Exploring Operation: 78-54=24, Resulting Numbers: [34, 30, 24]
Generated Node #0,1: 33:[34, 30, 24] Operation: 78-54=24
Exploring Operation: 78-34=44, Resulting Numbers: [54, 30, 44]
Generated Node #0,2: 33:[54, 30, 44] Operation: 78-34=44
Start Sub Search at level 1: Moving to Node #0,1
Current State: 33:[34, 30, 24], Operations: ['78-54=24']
Exploring Operation: 34-30=4, Resulting Numbers: [24, 4]
Generated Node #0,1,0: 33:[24, 4] Operation: 34-30=4
Exploring Operation: 34-24=10, Resulting Numbers: [30, 10]
Generated Node #0,1,1: 33:[30, 10] Operation: 34-24=10
Exploring Operation: 30-24=6, Resulting Numbers: [34, 6]
Generated Node #0,1,2: 33:[34, 6] Operation: 30-24=6
Moving to Node #0,1,1
Current State: 33:[30, 10], Operations: ['78-54=24', '34-24=10']
Exploring Operation: 30+10=40, Resulting Numbers: [40]
40,33 unequal: No Solution
Exploring Operation: 30-10=20, Resulting Numbers: [20]
20,33 unequal: No Solution
Exploring Operation: 30/10=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Moving to Node #0,1,2
Current State: 33:[34, 6], Operations: ['78-54=24', '30-24=6']
Exploring Operation: 34+6=40, Resulting Numbers: [40]
40,33 unequal: No Solution
Exploring Operation: 34*6=204, Resulting Numbers: [204]
204,33 unequal: No Solution
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,33 unequal: No Solution
Moving to Node #0,1,0
Current State: 33:[24, 4], Operations: ['78-54=24', '34-30=4']
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,33 unequal: No Solution
Exploring Operation: 24+4=28, Resulting Numbers: [28]
28,33 unequal: No Solution
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 33:[54, 30, 44], Operations: ['78-34=44']
Exploring Operation: 54-30=24, Resulting Numbers: [44, 24]
Generated Node #0,2,0: 33:[44, 24] Operation: 54-30=24
Exploring Operation: 54-44=10, Resulting Numbers: [30, 10]
Generated Node #0,2,1: 33:[30, 10] Operation: 54-44=10
Exploring Operation: 44-30=14, Resulting Numbers: [54, 14]
Generated Node #0,2,2: 33:[54, 14] Operation: 44-30=14
Moving to Node #0,2,1
Current State: 33:[30, 10], Operations: ['78-34=44', '54-44=10']
Exploring Operation: 30+10=40, Resulting Numbers: [40]
40,33 unequal: No Solution
Exploring Operation: 30/10=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Exploring Operation: 30-10=20, Resulting Numbers: [20]
20,33 unequal: No Solution
Moving to Node #0,2,0
Current State: 33:[44, 24], Operations: ['78-34=44', '54-30=24']
Exploring Operation: 44*24=1056, Resulting Numbers: [1056]
1056,33 unequal: No Solution
Exploring Operation: 44-24=20, Resulting Numbers: [20]
20,33 unequal: No Solution
Exploring Operation: 44+24=68, Resulting Numbers: [68]
68,33 unequal: No Solution
Moving to Node #0,2,2
Current State: 33:[54, 14], Operations: ['78-34=44', '44-30=14']
Exploring Operation: 54+14=68, Resulting Numbers: [68]
68,33 unequal: No Solution
Exploring Operation: 54-14=40, Resulting Numbers: [40]
40,33 unequal: No Solution
Exploring Operation: 54*14=756, Resulting Numbers: [756]
756,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[54, 34, 48], Operations: ['78-30=48']
Exploring Operation: 54-48=6, Resulting Numbers: [34, 6]
Generated Node #0,0,0: 33:[34, 6] Operation: 54-48=6
Exploring Operation: 48-34=14, Resulting Numbers: [54, 14]
Generated Node #0,0,1: 33:[54, 14] Operation: 48-34=14
Exploring Operation: 54-34=20, Resulting Numbers: [48, 20]
Generated Node #0,0,2: 33:[48, 20] Operation: 54-34=20
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 33:[34, 6], Operations: ['78-30=48', '54-48=6']
Exploring Operation: 34*6=204, Resulting Numbers: [204]
204,33 unequal: No Solution
Exploring Operation: 34+6=40, Resulting Numbers: [40]
40,33 unequal: No Solution
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 33:[54, 14], Operations: ['78-30=48', '48-34=14']
Exploring Operation: 54-14=40, Resulting Numbers: [40]
40,33 unequal: No Solution
Exploring Operation: 54+14=68, Resulting Numbers: [68]
68,33 unequal: No Solution
Exploring Operation: 54*14=756, Resulting Numbers: [756]
756,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 33:[48, 20], Operations: ['78-30=48', '54-34=20']
Exploring Operation: 48-20=28, Resulting Numbers: [28]
28,33 unequal: No Solution
Exploring Operation: 48+20=68, Resulting Numbers: [68]
68,33 unequal: No Solution
Exploring Operation: 48*20=960, Resulting Numbers: [960]
960,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
74,
47,
59,
4
] | 77 | [
"59-47=12",
"12/4=3",
"74+3=77"
] | Current State: 77:[74, 47, 59, 4], Operations: []
Exploring Operation: 59-47=12, Resulting Numbers: [74, 4, 12]
Generated Node #2: [74, 4, 12] from Operation: 59-47=12
Current State: 77:[74, 4, 12], Operations: ['59-47=12']
Exploring Operation: 12/4=3, Resulting Numbers: [74, 3]
Generated Node #3: [74, 3] from Operation: 12/4=3
Current State: 77:[74, 3], Operations: ['59-47=12', '12/4=3']
Exploring Operation: 74+3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[74, 47, 59, 4], Operations: []
Exploring Operation: 74-47=27, Resulting Numbers: [59, 4, 27]
Generated Node #0,0: 77:[59, 4, 27] Operation: 74-47=27
Exploring Operation: 59-47=12, Resulting Numbers: [74, 4, 12]
Generated Node #0,1: 77:[74, 4, 12] Operation: 59-47=12
Exploring Operation: 74-59=15, Resulting Numbers: [47, 4, 15]
Generated Node #0,2: 77:[47, 4, 15] Operation: 74-59=15
Exploring Operation: 47+59=106, Resulting Numbers: [74, 4, 106]
Generated Node #0,3: 77:[74, 4, 106] Operation: 47+59=106
Moving to Node #0,1
Current State: 77:[74, 4, 12], Operations: ['59-47=12']
Exploring Operation: 12/4=3, Resulting Numbers: [74, 3]
Generated Node #0,1,0: 77:[74, 3] Operation: 12/4=3
Exploring Operation: 74+4=78, Resulting Numbers: [12, 78]
Generated Node #0,1,1: 77:[12, 78] Operation: 74+4=78
Exploring Operation: 12-4=8, Resulting Numbers: [74, 8]
Generated Node #0,1,2: 77:[74, 8] Operation: 12-4=8
Exploring Operation: 74-4=70, Resulting Numbers: [12, 70]
Generated Node #0,1,3: 77:[12, 70] Operation: 74-4=70
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 77:[12, 78], Operations: ['59-47=12', '74+4=78']
Exploring Operation: 12*78=936, Resulting Numbers: [936]
936,77 unequal: No Solution
Exploring Operation: 12+78=90, Resulting Numbers: [90]
90,77 unequal: No Solution
Exploring Operation: 78-12=66, Resulting Numbers: [66]
66,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 77:[74, 8], Operations: ['59-47=12', '12-4=8']
Exploring Operation: 74*8=592, Resulting Numbers: [592]
592,77 unequal: No Solution
Exploring Operation: 74-8=66, Resulting Numbers: [66]
66,77 unequal: No Solution
Exploring Operation: 74+8=82, Resulting Numbers: [82]
82,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 77:[74, 3], Operations: ['59-47=12', '12/4=3']
Exploring Operation: 74*3=222, Resulting Numbers: [222]
222,77 unequal: No Solution
Exploring Operation: 74-3=71, Resulting Numbers: [71]
71,77 unequal: No Solution
Exploring Operation: 74+3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[74, 47, 59, 4], Operations: []
Exploring Operation: 59-47=12, Resulting Numbers: [74, 4, 12]
Generated Node #0,1: 77:[74, 4, 12] Operation: 59-47=12
Moving to Node #0,1
Current State: 77:[74, 4, 12], Operations: ['59-47=12']
Exploring Operation: 12/4=3, Resulting Numbers: [74, 3]
Generated Node #0,1,0: 77:[74, 3] Operation: 12/4=3
Moving to Node #0,1,0
Current State: 77:[74, 3], Operations: ['59-47=12', '12/4=3']
Exploring Operation: 74+3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | mult_heuristic |
[
60,
1,
69,
4
] | 12 | [
"60+1=61",
"69+4=73",
"73-61=12"
] | Current State: 12:[60, 1, 69, 4], Operations: []
Exploring Operation: 60+1=61, Resulting Numbers: [69, 4, 61]
Generated Node #2: [69, 4, 61] from Operation: 60+1=61
Current State: 12:[69, 4, 61], Operations: ['60+1=61']
Exploring Operation: 69+4=73, Resulting Numbers: [61, 73]
Generated Node #3: [61, 73] from Operation: 69+4=73
Current State: 12:[61, 73], Operations: ['60+1=61', '69+4=73']
Exploring Operation: 73-61=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[60, 1, 69, 4], Operations: []
Exploring Operation: 60-4=56, Resulting Numbers: [1, 69, 56]
Generated Node #0,0: 12:[1, 69, 56] Operation: 60-4=56
Exploring Operation: 60-1=59, Resulting Numbers: [69, 4, 59]
Generated Node #0,1: 12:[69, 4, 59] Operation: 60-1=59
Exploring Operation: 69-60=9, Resulting Numbers: [1, 4, 9]
Generated Node #0,2: 12:[1, 4, 9] Operation: 69-60=9
Exploring Operation: 69-4=65, Resulting Numbers: [60, 1, 65]
Generated Node #0,3: 12:[60, 1, 65] Operation: 69-4=65
Exploring Operation: 60/4=15, Resulting Numbers: [1, 69, 15]
Generated Node #0,4: 12:[1, 69, 15] Operation: 60/4=15
Start Sub Search at level 1: Moving to Node #0,2
Current State: 12:[1, 4, 9], Operations: ['69-60=9']
Exploring Operation: 4+9=13, Resulting Numbers: [1, 13]
Generated Node #0,2,0: 12:[1, 13] Operation: 4+9=13
Exploring Operation: 9-4=5, Resulting Numbers: [1, 5]
Generated Node #0,2,1: 12:[1, 5] Operation: 9-4=5
Exploring Operation: 9-1=8, Resulting Numbers: [4, 8]
Generated Node #0,2,2: 12:[4, 8] Operation: 9-1=8
Exploring Operation: 1*4=4, Resulting Numbers: [9, 4]
Generated Node #0,2,3: 12:[9, 4] Operation: 1*4=4
Exploring Operation: 1+9=10, Resulting Numbers: [4, 10]
Generated Node #0,2,4: 12:[4, 10] Operation: 1+9=10
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 12:[1, 13], Operations: ['69-60=9', '4+9=13']
Exploring Operation: 1+13=14, Resulting Numbers: [14]
14,12 unequal: No Solution
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[60, 1, 69, 4], Operations: []
Exploring Operation: 69-60=9, Resulting Numbers: [1, 4, 9]
Generated Node #0,2: 12:[1, 4, 9] Operation: 69-60=9
Moving to Node #0,2
Current State: 12:[1, 4, 9], Operations: ['69-60=9']
Exploring Operation: 4+9=13, Resulting Numbers: [1, 13]
Generated Node #0,2,0: 12:[1, 13] Operation: 4+9=13
Moving to Node #0,2,0
Current State: 12:[1, 13], Operations: ['69-60=9', '4+9=13']
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
20,
59,
49,
75
] | 65 | [
"59-20=39",
"75-49=26",
"39+26=65"
] | Current State: 65:[20, 59, 49, 75], Operations: []
Exploring Operation: 59-20=39, Resulting Numbers: [49, 75, 39]
Generated Node #2: [49, 75, 39] from Operation: 59-20=39
Current State: 65:[49, 75, 39], Operations: ['59-20=39']
Exploring Operation: 75-49=26, Resulting Numbers: [39, 26]
Generated Node #3: [39, 26] from Operation: 75-49=26
Current State: 65:[39, 26], Operations: ['59-20=39', '75-49=26']
Exploring Operation: 39+26=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[20, 59, 49, 75], Operations: []
Exploring Operation: 20+49=69, Resulting Numbers: [59, 75, 69]
Generated Node #0,0: 65:[59, 75, 69] Operation: 20+49=69
Exploring Operation: 59-49=10, Resulting Numbers: [20, 75, 10]
Generated Node #0,1: 65:[20, 75, 10] Operation: 59-49=10
Moving to Node #0,0
Current State: 65:[59, 75, 69], Operations: ['20+49=69']
Exploring Operation: 75-69=6, Resulting Numbers: [59, 6]
Generated Node #0,0,0: 65:[59, 6] Operation: 75-69=6
Exploring Operation: 75-59=16, Resulting Numbers: [69, 16]
Generated Node #0,0,1: 65:[69, 16] Operation: 75-59=16
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 65:[59, 6], Operations: ['20+49=69', '75-69=6']
Exploring Operation: 59+6=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[20, 59, 49, 75], Operations: []
Exploring Operation: 20+49=69, Resulting Numbers: [59, 75, 69]
Generated Node #0,0: 65:[59, 75, 69] Operation: 20+49=69
Moving to Node #0,0
Current State: 65:[59, 75, 69], Operations: ['20+49=69']
Exploring Operation: 75-69=6, Resulting Numbers: [59, 6]
Generated Node #0,0,0: 65:[59, 6] Operation: 75-69=6
Moving to Node #0,0,0
Current State: 65:[59, 6], Operations: ['20+49=69', '75-69=6']
Exploring Operation: 59+6=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
41,
63,
2,
15
] | 70 | [
"41+15=56",
"63*2=126",
"126-56=70"
] | Current State: 70:[41, 63, 2, 15], Operations: []
Exploring Operation: 41+15=56, Resulting Numbers: [63, 2, 56]
Generated Node #2: [63, 2, 56] from Operation: 41+15=56
Current State: 70:[63, 2, 56], Operations: ['41+15=56']
Exploring Operation: 63*2=126, Resulting Numbers: [56, 126]
Generated Node #3: [56, 126] from Operation: 63*2=126
Current State: 70:[56, 126], Operations: ['41+15=56', '63*2=126']
Exploring Operation: 126-56=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[41, 63, 2, 15], Operations: []
Exploring Operation: 63-41=22, Resulting Numbers: [2, 15, 22]
Generated Node #0,0: 70:[2, 15, 22] Operation: 63-41=22
Exploring Operation: 41-2=39, Resulting Numbers: [63, 15, 39]
Generated Node #0,1: 70:[63, 15, 39] Operation: 41-2=39
Exploring Operation: 63+2=65, Resulting Numbers: [41, 15, 65]
Generated Node #0,2: 70:[41, 15, 65] Operation: 63+2=65
Exploring Operation: 63+15=78, Resulting Numbers: [41, 2, 78]
Generated Node #0,3: 70:[41, 2, 78] Operation: 63+15=78
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[2, 15, 22], Operations: ['63-41=22']
Exploring Operation: 22-2=20, Resulting Numbers: [15, 20]
Generated Node #0,0,0: 70:[15, 20] Operation: 22-2=20
Exploring Operation: 15+22=37, Resulting Numbers: [2, 37]
Generated Node #0,0,1: 70:[2, 37] Operation: 15+22=37
Exploring Operation: 22-15=7, Resulting Numbers: [2, 7]
Generated Node #0,0,2: 70:[2, 7] Operation: 22-15=7
Exploring Operation: 22/2=11, Resulting Numbers: [15, 11]
Generated Node #0,0,3: 70:[15, 11] Operation: 22/2=11
Moving to Node #0,0,2
Current State: 70:[2, 7], Operations: ['63-41=22', '22-15=7']
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,70 unequal: No Solution
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,70 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,70 unequal: No Solution
Moving to Node #0,0,3
Current State: 70:[15, 11], Operations: ['63-41=22', '22/2=11']
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,70 unequal: No Solution
Exploring Operation: 15*11=165, Resulting Numbers: [165]
165,70 unequal: No Solution
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,70 unequal: No Solution
Moving to Node #0,0,1
Current State: 70:[2, 37], Operations: ['63-41=22', '15+22=37']
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,70 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,70 unequal: No Solution
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,70 unequal: No Solution
Moving to Node #0,0,0
Current State: 70:[15, 20], Operations: ['63-41=22', '22-2=20']
Exploring Operation: 15+20=35, Resulting Numbers: [35]
35,70 unequal: No Solution
Exploring Operation: 15*20=300, Resulting Numbers: [300]
300,70 unequal: No Solution
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,70 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 #0,1
Current State: 70:[63, 15, 39], Operations: ['41-2=39']
Exploring Operation: 63-15=48, Resulting Numbers: [39, 48]
Generated Node #0,1,0: 70:[39, 48] Operation: 63-15=48
Exploring Operation: 63+15=78, Resulting Numbers: [39, 78]
Generated Node #0,1,1: 70:[39, 78] Operation: 63+15=78
Exploring Operation: 63-39=24, Resulting Numbers: [15, 24]
Generated Node #0,1,2: 70:[15, 24] Operation: 63-39=24
Exploring Operation: 39-15=24, Resulting Numbers: [63, 24]
Generated Node #0,1,3: 70:[63, 24] Operation: 39-15=24
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 70:[15, 24], Operations: ['41-2=39', '63-39=24']
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,70 unequal: No Solution
Exploring Operation: 15+24=39, Resulting Numbers: [39]
39,70 unequal: No Solution
Exploring Operation: 15*24=360, Resulting Numbers: [360]
360,70 unequal: No Solution
No 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: 70:[39, 78], Operations: ['41-2=39', '63+15=78']
Exploring Operation: 78-39=39, Resulting Numbers: [39]
39,70 unequal: No Solution
Exploring Operation: 39+78=117, Resulting Numbers: [117]
117,70 unequal: No Solution
Exploring Operation: 39*78=3042, Resulting Numbers: [3042]
3042,70 unequal: No Solution
Exploring Operation: 78/39=2, Resulting Numbers: [2]
2,70 unequal: No Solution
No 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: 70:[39, 48], Operations: ['41-2=39', '63-15=48']
Exploring Operation: 39*48=1872, Resulting Numbers: [1872]
1872,70 unequal: No Solution
Exploring Operation: 39+48=87, Resulting Numbers: [87]
87,70 unequal: No Solution
Exploring Operation: 48-39=9, Resulting Numbers: [9]
9,70 unequal: No Solution
No 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: 70:[63, 24], Operations: ['41-2=39', '39-15=24']
Exploring Operation: 63+24=87, Resulting Numbers: [87]
87,70 unequal: No Solution
Exploring Operation: 63*24=1512, Resulting Numbers: [1512]
1512,70 unequal: No Solution
Exploring Operation: 63-24=39, Resulting Numbers: [39]
39,70 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: 70:[41, 15, 65], Operations: ['63+2=65']
Exploring Operation: 41-15=26, Resulting Numbers: [65, 26]
Generated Node #0,2,0: 70:[65, 26] Operation: 41-15=26
Exploring Operation: 65-41=24, Resulting Numbers: [15, 24]
Generated Node #0,2,1: 70:[15, 24] Operation: 65-41=24
Exploring Operation: 41+15=56, Resulting Numbers: [65, 56]
Generated Node #0,2,2: 70:[65, 56] Operation: 41+15=56
Exploring Operation: 15+65=80, Resulting Numbers: [41, 80]
Generated Node #0,2,3: 70:[41, 80] Operation: 15+65=80
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 70:[15, 24], Operations: ['63+2=65', '65-41=24']
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,70 unequal: No Solution
Exploring Operation: 15+24=39, Resulting Numbers: [39]
39,70 unequal: No Solution
Exploring Operation: 15*24=360, Resulting Numbers: [360]
360,70 unequal: No Solution
No 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: 70:[65, 26], Operations: ['63+2=65', '41-15=26']
Exploring Operation: 65-26=39, Resulting Numbers: [39]
39,70 unequal: No Solution
Exploring Operation: 65+26=91, Resulting Numbers: [91]
91,70 unequal: No Solution
Exploring Operation: 65*26=1690, Resulting Numbers: [1690]
1690,70 unequal: No Solution
No 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: 70:[41, 80], Operations: ['63+2=65', '15+65=80']
Exploring Operation: 80-41=39, Resulting Numbers: [39]
39,70 unequal: No Solution
Exploring Operation: 41*80=3280, Resulting Numbers: [3280]
3280,70 unequal: No Solution
Exploring Operation: 41+80=121, Resulting Numbers: [121]
121,70 unequal: No Solution
No 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: 70:[65, 56], Operations: ['63+2=65', '41+15=56']
Exploring Operation: 65*56=3640, Resulting Numbers: [3640]
3640,70 unequal: No Solution
Exploring Operation: 65-56=9, Resulting Numbers: [9]
9,70 unequal: No Solution
Exploring Operation: 65+56=121, Resulting Numbers: [121]
121,70 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: 70:[41, 2, 78], Operations: ['63+15=78']
Exploring Operation: 78-2=76, Resulting Numbers: [41, 76]
Generated Node #0,3,0: 70:[41, 76] Operation: 78-2=76
Exploring Operation: 78-41=37, Resulting Numbers: [2, 37]
Generated Node #0,3,1: 70:[2, 37] Operation: 78-41=37
Exploring Operation: 41-2=39, Resulting Numbers: [78, 39]
Generated Node #0,3,2: 70:[78, 39] Operation: 41-2=39
Exploring Operation: 78/2=39, Resulting Numbers: [41, 39]
Generated Node #0,3,3: 70:[41, 39] Operation: 78/2=39
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 70:[2, 37], Operations: ['63+15=78', '78-41=37']
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,70 unequal: No Solution
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,70 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,70 unequal: No Solution
No 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: 70:[41, 39], Operations: ['63+15=78', '78/2=39']
Exploring Operation: 41+39=80, Resulting Numbers: [80]
80,70 unequal: No Solution
Exploring Operation: 41*39=1599, Resulting Numbers: [1599]
1599,70 unequal: No Solution
Exploring Operation: 41-39=2, Resulting Numbers: [2]
2,70 unequal: No Solution
No 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: 70:[41, 76], Operations: ['63+15=78', '78-2=76']
Exploring Operation: 41*76=3116, Resulting Numbers: [3116]
3116,70 unequal: No Solution
Exploring Operation: 41+76=117, Resulting Numbers: [117]
117,70 unequal: No Solution
Exploring Operation: 76-41=35, Resulting Numbers: [35]
35,70 unequal: No Solution
No 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: 70:[78, 39], Operations: ['63+15=78', '41-2=39']
Exploring Operation: 78/39=2, Resulting Numbers: [2]
2,70 unequal: No Solution
Exploring Operation: 78*39=3042, Resulting Numbers: [3042]
3042,70 unequal: No Solution
Exploring Operation: 78-39=39, Resulting Numbers: [39]
39,70 unequal: No Solution
Exploring Operation: 78+39=117, Resulting Numbers: [117]
117,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
6,
2,
74,
56
] | 43 | [
"6+56=62",
"62/2=31",
"74-31=43"
] | Current State: 43:[6, 2, 74, 56], Operations: []
Exploring Operation: 6+56=62, Resulting Numbers: [2, 74, 62]
Generated Node #2: [2, 74, 62] from Operation: 6+56=62
Current State: 43:[2, 74, 62], Operations: ['6+56=62']
Exploring Operation: 62/2=31, Resulting Numbers: [74, 31]
Generated Node #3: [74, 31] from Operation: 62/2=31
Current State: 43:[74, 31], Operations: ['6+56=62', '62/2=31']
Exploring Operation: 74-31=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[6, 2, 74, 56], Operations: []
Exploring Operation: 74/2=37, Resulting Numbers: [6, 56, 37]
Generated Node #0,0: 43:[6, 56, 37] Operation: 74/2=37
Exploring Operation: 6+2=8, Resulting Numbers: [74, 56, 8]
Generated Node #0,1: 43:[74, 56, 8] Operation: 6+2=8
Exploring Operation: 6*2=12, Resulting Numbers: [74, 56, 12]
Generated Node #0,2: 43:[74, 56, 12] Operation: 6*2=12
Exploring Operation: 74-6=68, Resulting Numbers: [2, 56, 68]
Generated Node #0,3: 43:[2, 56, 68] Operation: 74-6=68
Exploring Operation: 56-6=50, Resulting Numbers: [2, 74, 50]
Generated Node #0,4: 43:[2, 74, 50] Operation: 56-6=50
Moving to Node #0,0
Current State: 43:[6, 56, 37], Operations: ['74/2=37']
Exploring Operation: 37-6=31, Resulting Numbers: [56, 31]
Generated Node #0,0,0: 43:[56, 31] Operation: 37-6=31
Exploring Operation: 56-37=19, Resulting Numbers: [6, 19]
Generated Node #0,0,1: 43:[6, 19] Operation: 56-37=19
Exploring Operation: 56-6=50, Resulting Numbers: [37, 50]
Generated Node #0,0,2: 43:[37, 50] Operation: 56-6=50
Exploring Operation: 6+56=62, Resulting Numbers: [37, 62]
Generated Node #0,0,3: 43:[37, 62] Operation: 6+56=62
Exploring Operation: 6+37=43, Resulting Numbers: [56, 43]
Generated Node #0,0,4: 43:[56, 43] Operation: 6+37=43
Moving to Node #0,2
Current State: 43:[74, 56, 12], Operations: ['6*2=12']
Exploring Operation: 56-12=44, Resulting Numbers: [74, 44]
Generated Node #0,2,0: 43:[74, 44] Operation: 56-12=44
Exploring Operation: 56+12=68, Resulting Numbers: [74, 68]
Generated Node #0,2,1: 43:[74, 68] Operation: 56+12=68
Exploring Operation: 74+12=86, Resulting Numbers: [56, 86]
Generated Node #0,2,2: 43:[56, 86] Operation: 74+12=86
Exploring Operation: 74-56=18, Resulting Numbers: [12, 18]
Generated Node #0,2,3: 43:[12, 18] Operation: 74-56=18
Exploring Operation: 74-12=62, Resulting Numbers: [56, 62]
Generated Node #0,2,4: 43:[56, 62] Operation: 74-12=62
Moving to Node #0,1
Current State: 43:[74, 56, 8], Operations: ['6+2=8']
Exploring Operation: 74-8=66, Resulting Numbers: [56, 66]
Generated Node #0,1,0: 43:[56, 66] Operation: 74-8=66
Exploring Operation: 74-56=18, Resulting Numbers: [8, 18]
Generated Node #0,1,1: 43:[8, 18] Operation: 74-56=18
Exploring Operation: 56-8=48, Resulting Numbers: [74, 48]
Generated Node #0,1,2: 43:[74, 48] Operation: 56-8=48
Exploring Operation: 56+8=64, Resulting Numbers: [74, 64]
Generated Node #0,1,3: 43:[74, 64] Operation: 56+8=64
Exploring Operation: 74+8=82, Resulting Numbers: [56, 82]
Generated Node #0,1,4: 43:[56, 82] Operation: 74+8=82
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 43:[56, 66], Operations: ['6+2=8', '74-8=66']
Exploring Operation: 56*66=3696, Resulting Numbers: [3696]
3696,43 unequal: No Solution
Exploring Operation: 56+66=122, Resulting Numbers: [122]
122,43 unequal: No Solution
Exploring Operation: 66-56=10, Resulting Numbers: [10]
10,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 43:[74, 48], Operations: ['6+2=8', '56-8=48']
Exploring Operation: 74+48=122, Resulting Numbers: [122]
122,43 unequal: No Solution
Exploring Operation: 74*48=3552, Resulting Numbers: [3552]
3552,43 unequal: No Solution
Exploring Operation: 74-48=26, Resulting Numbers: [26]
26,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 43:[74, 64], Operations: ['6+2=8', '56+8=64']
Exploring Operation: 74-64=10, Resulting Numbers: [10]
10,43 unequal: No Solution
Exploring Operation: 74*64=4736, Resulting Numbers: [4736]
4736,43 unequal: No Solution
Exploring Operation: 74+64=138, Resulting Numbers: [138]
138,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 43:[56, 82], Operations: ['6+2=8', '74+8=82']
Exploring Operation: 56*82=4592, Resulting Numbers: [4592]
4592,43 unequal: No Solution
Exploring Operation: 56+82=138, Resulting Numbers: [138]
138,43 unequal: No Solution
Exploring Operation: 82-56=26, Resulting Numbers: [26]
26,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 43:[8, 18], Operations: ['6+2=8', '74-56=18']
Exploring Operation: 8+18=26, Resulting Numbers: [26]
26,43 unequal: No Solution
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,43 unequal: No Solution
Exploring Operation: 8*18=144, Resulting Numbers: [144]
144,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 43:[2, 56, 68], Operations: ['74-6=68']
Exploring Operation: 68-2=66, Resulting Numbers: [56, 66]
Generated Node #0,3,0: 43:[56, 66] Operation: 68-2=66
Exploring Operation: 2+56=58, Resulting Numbers: [68, 58]
Generated Node #0,3,1: 43:[68, 58] Operation: 2+56=58
Exploring Operation: 68/2=34, Resulting Numbers: [56, 34]
Generated Node #0,3,2: 43:[56, 34] Operation: 68/2=34
Exploring Operation: 56/2=28, Resulting Numbers: [68, 28]
Generated Node #0,3,3: 43:[68, 28] Operation: 56/2=28
Exploring Operation: 56-2=54, Resulting Numbers: [68, 54]
Generated Node #0,3,4: 43:[68, 54] Operation: 56-2=54
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 43:[56, 34], Operations: ['74-6=68', '68/2=34']
Exploring Operation: 56*34=1904, Resulting Numbers: [1904]
1904,43 unequal: No Solution
Exploring Operation: 56+34=90, Resulting Numbers: [90]
90,43 unequal: No Solution
Exploring Operation: 56-34=22, Resulting Numbers: [22]
22,43 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:[56, 66], Operations: ['74-6=68', '68-2=66']
Exploring Operation: 56+66=122, Resulting Numbers: [122]
122,43 unequal: No Solution
Exploring Operation: 56*66=3696, Resulting Numbers: [3696]
3696,43 unequal: No Solution
Exploring Operation: 66-56=10, Resulting Numbers: [10]
10,43 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 #0,3,4
Current State: 43:[68, 54], Operations: ['74-6=68', '56-2=54']
Exploring Operation: 68*54=3672, Resulting Numbers: [3672]
3672,43 unequal: No Solution
Exploring Operation: 68+54=122, Resulting Numbers: [122]
122,43 unequal: No Solution
Exploring Operation: 68-54=14, Resulting Numbers: [14]
14,43 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:[68, 58], Operations: ['74-6=68', '2+56=58']
Exploring Operation: 68-58=10, Resulting Numbers: [10]
10,43 unequal: No Solution
Exploring Operation: 68*58=3944, Resulting Numbers: [3944]
3944,43 unequal: No Solution
Exploring Operation: 68+58=126, Resulting Numbers: [126]
126,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 43:[68, 28], Operations: ['74-6=68', '56/2=28']
Exploring Operation: 68+28=96, Resulting Numbers: [96]
96,43 unequal: No Solution
Exploring Operation: 68*28=1904, Resulting Numbers: [1904]
1904,43 unequal: No Solution
Exploring Operation: 68-28=40, Resulting Numbers: [40]
40,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 43:[2, 74, 50], Operations: ['56-6=50']
Exploring Operation: 2+74=76, Resulting Numbers: [50, 76]
Generated Node #0,4,0: 43:[50, 76] Operation: 2+74=76
Exploring Operation: 50-2=48, Resulting Numbers: [74, 48]
Generated Node #0,4,1: 43:[74, 48] Operation: 50-2=48
Exploring Operation: 74-2=72, Resulting Numbers: [50, 72]
Generated Node #0,4,2: 43:[50, 72] Operation: 74-2=72
Exploring Operation: 2+50=52, Resulting Numbers: [74, 52]
Generated Node #0,4,3: 43:[74, 52] Operation: 2+50=52
Exploring Operation: 74/2=37, Resulting Numbers: [50, 37]
Generated Node #0,4,4: 43:[50, 37] Operation: 74/2=37
Moving to Node #0,0,2
Current State: 43:[37, 50], Operations: ['74/2=37', '56-6=50']
Exploring Operation: 37*50=1850, Resulting Numbers: [1850]
1850,43 unequal: No Solution
Exploring Operation: 50-37=13, Resulting Numbers: [13]
13,43 unequal: No Solution
Exploring Operation: 37+50=87, Resulting Numbers: [87]
87,43 unequal: No Solution
Moving to Node #0,0,4
Current State: 43:[56, 43], Operations: ['74/2=37', '6+37=43']
Exploring Operation: 56+43=99, Resulting Numbers: [99]
99,43 unequal: No Solution
Exploring Operation: 56*43=2408, Resulting Numbers: [2408]
2408,43 unequal: No Solution
Exploring Operation: 56-43=13, Resulting Numbers: [13]
13,43 unequal: No Solution
Moving to Node #0,4,4
Current State: 43:[50, 37], Operations: ['56-6=50', '74/2=37']
Exploring Operation: 50+37=87, Resulting Numbers: [87]
87,43 unequal: No Solution
Exploring Operation: 50*37=1850, Resulting Numbers: [1850]
1850,43 unequal: No Solution
Exploring Operation: 50-37=13, Resulting Numbers: [13]
13,43 unequal: No Solution
Moving to Node #0,0,0
Current State: 43:[56, 31], Operations: ['74/2=37', '37-6=31']
Exploring Operation: 56+31=87, Resulting Numbers: [87]
87,43 unequal: No Solution
Exploring Operation: 56-31=25, Resulting Numbers: [25]
25,43 unequal: No Solution
Exploring Operation: 56*31=1736, Resulting Numbers: [1736]
1736,43 unequal: No Solution
Moving to Node #0,0,3
Current State: 43:[37, 62], Operations: ['74/2=37', '6+56=62']
Exploring Operation: 62-37=25, Resulting Numbers: [25]
25,43 unequal: No Solution
Exploring Operation: 37*62=2294, Resulting Numbers: [2294]
2294,43 unequal: No Solution
Exploring Operation: 37+62=99, Resulting Numbers: [99]
99,43 unequal: No Solution
Moving to Node #0,2,4
Current State: 43:[56, 62], Operations: ['6*2=12', '74-12=62']
Exploring Operation: 56*62=3472, Resulting Numbers: [3472]
3472,43 unequal: No Solution
Exploring Operation: 62-56=6, Resulting Numbers: [6]
6,43 unequal: No Solution
Exploring Operation: 56+62=118, Resulting Numbers: [118]
118,43 unequal: No Solution
Moving to Node #0,2,0
Current State: 43:[74, 44], Operations: ['6*2=12', '56-12=44']
Exploring Operation: 74+44=118, Resulting Numbers: [118]
118,43 unequal: No Solution
Exploring Operation: 74*44=3256, Resulting Numbers: [3256]
3256,43 unequal: No Solution
Exploring Operation: 74-44=30, Resulting Numbers: [30]
30,43 unequal: No Solution
Moving to Node #0,4,2
Current State: 43:[50, 72], Operations: ['56-6=50', '74-2=72']
Exploring Operation: 50+72=122, Resulting Numbers: [122]
122,43 unequal: No Solution
Exploring Operation: 72-50=22, Resulting Numbers: [22]
22,43 unequal: No Solution
Exploring Operation: 50*72=3600, Resulting Numbers: [3600]
3600,43 unequal: No Solution
Moving to Node #0,4,1
Current State: 43:[74, 48], Operations: ['56-6=50', '50-2=48']
Exploring Operation: 74*48=3552, Resulting Numbers: [3552]
3552,43 unequal: No Solution
Exploring Operation: 74-48=26, Resulting Numbers: [26]
26,43 unequal: No Solution
Exploring Operation: 74+48=122, Resulting Numbers: [122]
122,43 unequal: No Solution
Moving to Node #0,4,3
Current State: 43:[74, 52], Operations: ['56-6=50', '2+50=52']
Exploring Operation: 74-52=22, Resulting Numbers: [22]
22,43 unequal: No Solution
Exploring Operation: 74+52=126, Resulting Numbers: [126]
126,43 unequal: No Solution
Exploring Operation: 74*52=3848, Resulting Numbers: [3848]
3848,43 unequal: No Solution
Moving to Node #0,4,0
Current State: 43:[50, 76], Operations: ['56-6=50', '2+74=76']
Exploring Operation: 50+76=126, Resulting Numbers: [126]
126,43 unequal: No Solution
Exploring Operation: 76-50=26, Resulting Numbers: [26]
26,43 unequal: No Solution
Exploring Operation: 50*76=3800, Resulting Numbers: [3800]
3800,43 unequal: No Solution
Moving to Node #0,2,3
Current State: 43:[12, 18], Operations: ['6*2=12', '74-56=18']
Exploring Operation: 12+18=30, Resulting Numbers: [30]
30,43 unequal: No Solution
Exploring Operation: 18-12=6, Resulting Numbers: [6]
6,43 unequal: No Solution
Exploring Operation: 12*18=216, Resulting Numbers: [216]
216,43 unequal: No Solution
Moving to Node #0,2,2
Current State: 43:[56, 86], Operations: ['6*2=12', '74+12=86']
Exploring Operation: 86-56=30, Resulting Numbers: [30]
30,43 unequal: No Solution
Exploring Operation: 56+86=142, Resulting Numbers: [142]
142,43 unequal: No Solution
Exploring Operation: 56*86=4816, Resulting Numbers: [4816]
4816,43 unequal: No Solution
Moving to Node #0,2,1
Current State: 43:[74, 68], Operations: ['6*2=12', '56+12=68']
Exploring Operation: 74+68=142, Resulting Numbers: [142]
142,43 unequal: No Solution
Exploring Operation: 74*68=5032, Resulting Numbers: [5032]
5032,43 unequal: No Solution
Exploring Operation: 74-68=6, Resulting Numbers: [6]
6,43 unequal: No Solution
Moving to Node #0,0,1
Current State: 43:[6, 19], Operations: ['74/2=37', '56-37=19']
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,43 unequal: No Solution
Exploring Operation: 6*19=114, Resulting Numbers: [114]
114,43 unequal: No Solution
Exploring Operation: 6+19=25, Resulting Numbers: [25]
25,43 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
8,
49,
24,
10
] | 19 | [
"24/8=3",
"10*3=30",
"49-30=19"
] | Current State: 19:[8, 49, 24, 10], Operations: []
Exploring Operation: 24/8=3, Resulting Numbers: [49, 10, 3]
Generated Node #2: [49, 10, 3] from Operation: 24/8=3
Current State: 19:[49, 10, 3], Operations: ['24/8=3']
Exploring Operation: 10*3=30, Resulting Numbers: [49, 30]
Generated Node #3: [49, 30] from Operation: 10*3=30
Current State: 19:[49, 30], Operations: ['24/8=3', '10*3=30']
Exploring Operation: 49-30=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[8, 49, 24, 10], Operations: []
Exploring Operation: 49-8=41, Resulting Numbers: [24, 10, 41]
Generated Node #0,0: 19:[24, 10, 41] Operation: 49-8=41
Exploring Operation: 8+10=18, Resulting Numbers: [49, 24, 18]
Generated Node #0,1: 19:[49, 24, 18] Operation: 8+10=18
Exploring Operation: 49-24=25, Resulting Numbers: [8, 10, 25]
Generated Node #0,2: 19:[8, 10, 25] Operation: 49-24=25
Start Sub Search at level 1: Moving to Node #0,2
Current State: 19:[8, 10, 25], Operations: ['49-24=25']
Exploring Operation: 8+10=18, Resulting Numbers: [25, 18]
Generated Node #0,2,0: 19:[25, 18] Operation: 8+10=18
Exploring Operation: 25-10=15, Resulting Numbers: [8, 15]
Generated Node #0,2,1: 19:[8, 15] Operation: 25-10=15
Exploring Operation: 25-8=17, Resulting Numbers: [10, 17]
Generated Node #0,2,2: 19:[10, 17] Operation: 25-8=17
Moving to Node #0,2,0
Current State: 19:[25, 18], Operations: ['49-24=25', '8+10=18']
Exploring Operation: 25+18=43, Resulting Numbers: [43]
43,19 unequal: No Solution
Exploring Operation: 25-18=7, Resulting Numbers: [7]
7,19 unequal: No Solution
Exploring Operation: 25*18=450, Resulting Numbers: [450]
450,19 unequal: No Solution
Moving to Node #0,2,2
Current State: 19:[10, 17], Operations: ['49-24=25', '25-8=17']
Exploring Operation: 10*17=170, Resulting Numbers: [170]
170,19 unequal: No Solution
Exploring Operation: 17-10=7, Resulting Numbers: [7]
7,19 unequal: No Solution
Exploring Operation: 10+17=27, Resulting Numbers: [27]
27,19 unequal: No Solution
Moving to Node #0,2,1
Current State: 19:[8, 15], Operations: ['49-24=25', '25-10=15']
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,19 unequal: No Solution
Exploring Operation: 8+15=23, Resulting Numbers: [23]
23,19 unequal: No Solution
Exploring Operation: 8*15=120, Resulting Numbers: [120]
120,19 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 #0,0
Current State: 19:[24, 10, 41], Operations: ['49-8=41']
Exploring Operation: 41-24=17, Resulting Numbers: [10, 17]
Generated Node #0,0,0: 19:[10, 17] Operation: 41-24=17
Exploring Operation: 24-10=14, Resulting Numbers: [41, 14]
Generated Node #0,0,1: 19:[41, 14] Operation: 24-10=14
Exploring Operation: 41-10=31, Resulting Numbers: [24, 31]
Generated Node #0,0,2: 19:[24, 31] Operation: 41-10=31
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 19:[10, 17], Operations: ['49-8=41', '41-24=17']
Exploring Operation: 10+17=27, Resulting Numbers: [27]
27,19 unequal: No Solution
Exploring Operation: 10*17=170, Resulting Numbers: [170]
170,19 unequal: No Solution
Exploring Operation: 17-10=7, Resulting Numbers: [7]
7,19 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 #0,0,2
Current State: 19:[24, 31], Operations: ['49-8=41', '41-10=31']
Exploring Operation: 24+31=55, Resulting Numbers: [55]
55,19 unequal: No Solution
Exploring Operation: 24*31=744, Resulting Numbers: [744]
744,19 unequal: No Solution
Exploring Operation: 31-24=7, Resulting Numbers: [7]
7,19 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 #0,0,1
Current State: 19:[41, 14], Operations: ['49-8=41', '24-10=14']
Exploring Operation: 41*14=574, Resulting Numbers: [574]
574,19 unequal: No Solution
Exploring Operation: 41+14=55, Resulting Numbers: [55]
55,19 unequal: No Solution
Exploring Operation: 41-14=27, Resulting Numbers: [27]
27,19 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:[49, 24, 18], Operations: ['8+10=18']
Exploring Operation: 49-18=31, Resulting Numbers: [24, 31]
Generated Node #0,1,0: 19:[24, 31] Operation: 49-18=31
Exploring Operation: 24-18=6, Resulting Numbers: [49, 6]
Generated Node #0,1,1: 19:[49, 6] Operation: 24-18=6
Exploring Operation: 49-24=25, Resulting Numbers: [18, 25]
Generated Node #0,1,2: 19:[18, 25] Operation: 49-24=25
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 19:[18, 25], Operations: ['8+10=18', '49-24=25']
Exploring Operation: 18+25=43, Resulting Numbers: [43]
43,19 unequal: No Solution
Exploring Operation: 25-18=7, Resulting Numbers: [7]
7,19 unequal: No Solution
Exploring Operation: 18*25=450, Resulting Numbers: [450]
450,19 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 #0,1,0
Current State: 19:[24, 31], Operations: ['8+10=18', '49-18=31']
Exploring Operation: 31-24=7, Resulting Numbers: [7]
7,19 unequal: No Solution
Exploring Operation: 24+31=55, Resulting Numbers: [55]
55,19 unequal: No Solution
Exploring Operation: 24*31=744, Resulting Numbers: [744]
744,19 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:[49, 6], Operations: ['8+10=18', '24-18=6']
Exploring Operation: 49*6=294, Resulting Numbers: [294]
294,19 unequal: No Solution
Exploring Operation: 49-6=43, Resulting Numbers: [43]
43,19 unequal: No Solution
Exploring Operation: 49+6=55, Resulting Numbers: [55]
55,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
13,
34,
5,
28
] | 77 | [
"34-13=21",
"5*21=105",
"105-28=77"
] | Current State: 77:[13, 34, 5, 28], Operations: []
Exploring Operation: 34-13=21, Resulting Numbers: [5, 28, 21]
Generated Node #2: [5, 28, 21] from Operation: 34-13=21
Current State: 77:[5, 28, 21], Operations: ['34-13=21']
Exploring Operation: 5*21=105, Resulting Numbers: [28, 105]
Generated Node #3: [28, 105] from Operation: 5*21=105
Current State: 77:[28, 105], Operations: ['34-13=21', '5*21=105']
Exploring Operation: 105-28=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[13, 34, 5, 28], Operations: []
Exploring Operation: 34-28=6, Resulting Numbers: [13, 5, 6]
Generated Node #0,0: 77:[13, 5, 6] Operation: 34-28=6
Exploring Operation: 34+28=62, Resulting Numbers: [13, 5, 62]
Generated Node #0,1: 77:[13, 5, 62] Operation: 34+28=62
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[13, 5, 6], Operations: ['34-28=6']
Exploring Operation: 13-5=8, Resulting Numbers: [6, 8]
Generated Node #0,0,0: 77:[6, 8] Operation: 13-5=8
Exploring Operation: 13-6=7, Resulting Numbers: [5, 7]
Generated Node #0,0,1: 77:[5, 7] Operation: 13-6=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 77:[6, 8], Operations: ['34-28=6', '13-5=8']
Exploring Operation: 6+8=14, Resulting Numbers: [14]
14,77 unequal: No Solution
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,77 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 #0,0,1
Current State: 77:[5, 7], Operations: ['34-28=6', '13-6=7']
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,77 unequal: No Solution
Exploring Operation: 5+7=12, Resulting Numbers: [12]
12,77 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 #0,1
Current State: 77:[13, 5, 62], Operations: ['34+28=62']
Exploring Operation: 13+62=75, Resulting Numbers: [5, 75]
Generated Node #0,1,0: 77:[5, 75] Operation: 13+62=75
Exploring Operation: 5+62=67, Resulting Numbers: [13, 67]
Generated Node #0,1,1: 77:[13, 67] Operation: 5+62=67
Moving to Node #0,1,0
Current State: 77:[5, 75], Operations: ['34+28=62', '13+62=75']
Exploring Operation: 5+75=80, Resulting Numbers: [80]
80,77 unequal: No Solution
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,77 unequal: No Solution
Moving to Node #0,1,1
Current State: 77:[13, 67], Operations: ['34+28=62', '5+62=67']
Exploring Operation: 13+67=80, Resulting Numbers: [80]
80,77 unequal: No Solution
Exploring Operation: 67-13=54, Resulting Numbers: [54]
54,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
99,
19,
75,
22
] | 27 | [
"99-19=80",
"75-22=53",
"80-53=27"
] | Current State: 27:[99, 19, 75, 22], Operations: []
Exploring Operation: 99-19=80, Resulting Numbers: [75, 22, 80]
Generated Node #2: [75, 22, 80] from Operation: 99-19=80
Current State: 27:[75, 22, 80], Operations: ['99-19=80']
Exploring Operation: 75-22=53, Resulting Numbers: [80, 53]
Generated Node #3: [80, 53] from Operation: 75-22=53
Current State: 27:[80, 53], Operations: ['99-19=80', '75-22=53']
Exploring Operation: 80-53=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[99, 19, 75, 22], Operations: []
Exploring Operation: 99-19=80, Resulting Numbers: [75, 22, 80]
Generated Node #0,0: 27:[75, 22, 80] Operation: 99-19=80
Exploring Operation: 99-75=24, Resulting Numbers: [19, 22, 24]
Generated Node #0,1: 27:[19, 22, 24] Operation: 99-75=24
Start Sub Search at level 1: Moving to Node #0,1
Current State: 27:[19, 22, 24], Operations: ['99-75=24']
Exploring Operation: 22-19=3, Resulting Numbers: [24, 3]
Generated Node #0,1,0: 27:[24, 3] Operation: 22-19=3
Exploring Operation: 24-19=5, Resulting Numbers: [22, 5]
Generated Node #0,1,1: 27:[22, 5] Operation: 24-19=5
Moving to Node #0,1,0
Current State: 27:[24, 3], Operations: ['99-75=24', '22-19=3']
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[99, 19, 75, 22], Operations: []
Exploring Operation: 99-75=24, Resulting Numbers: [19, 22, 24]
Generated Node #0,1: 27:[19, 22, 24] Operation: 99-75=24
Moving to Node #0,1
Current State: 27:[19, 22, 24], Operations: ['99-75=24']
Exploring Operation: 22-19=3, Resulting Numbers: [24, 3]
Generated Node #0,1,0: 27:[24, 3] Operation: 22-19=3
Moving to Node #0,1,0
Current State: 27:[24, 3], Operations: ['99-75=24', '22-19=3']
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
44,
27,
34,
32
] | 49 | [
"44-27=17",
"34+32=66",
"66-17=49"
] | Current State: 49:[44, 27, 34, 32], Operations: []
Exploring Operation: 44-27=17, Resulting Numbers: [34, 32, 17]
Generated Node #2: [34, 32, 17] from Operation: 44-27=17
Current State: 49:[34, 32, 17], Operations: ['44-27=17']
Exploring Operation: 34+32=66, Resulting Numbers: [17, 66]
Generated Node #3: [17, 66] from Operation: 34+32=66
Current State: 49:[17, 66], Operations: ['44-27=17', '34+32=66']
Exploring Operation: 66-17=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[44, 27, 34, 32], Operations: []
Exploring Operation: 34-27=7, Resulting Numbers: [44, 32, 7]
Generated Node #0,0: 49:[44, 32, 7] Operation: 34-27=7
Moving to Node #0,0
Current State: 49:[44, 32, 7], Operations: ['34-27=7']
Exploring Operation: 44-32=12, Resulting Numbers: [7, 12]
Generated Node #0,0,0: 49:[7, 12] Operation: 44-32=12
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 49:[7, 12], Operations: ['34-27=7', '44-32=12']
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,49 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 |
[
57,
19,
15,
59
] | 68 | [
"59-57=2",
"19+15=34",
"2*34=68"
] | Current State: 68:[57, 19, 15, 59], Operations: []
Exploring Operation: 59-57=2, Resulting Numbers: [19, 15, 2]
Generated Node #2: [19, 15, 2] from Operation: 59-57=2
Current State: 68:[19, 15, 2], Operations: ['59-57=2']
Exploring Operation: 19+15=34, Resulting Numbers: [2, 34]
Generated Node #3: [2, 34] from Operation: 19+15=34
Current State: 68:[2, 34], Operations: ['59-57=2', '19+15=34']
Exploring Operation: 2*34=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[57, 19, 15, 59], Operations: []
Exploring Operation: 59-57=2, Resulting Numbers: [19, 15, 2]
Generated Node #0,0: 68:[19, 15, 2] Operation: 59-57=2
Exploring Operation: 57/19=3, Resulting Numbers: [15, 59, 3]
Generated Node #0,1: 68:[15, 59, 3] Operation: 57/19=3
Moving to Node #0,0
Current State: 68:[19, 15, 2], Operations: ['59-57=2']
Exploring Operation: 19+15=34, Resulting Numbers: [2, 34]
Generated Node #0,0,0: 68:[2, 34] Operation: 19+15=34
Exploring Operation: 19-15=4, Resulting Numbers: [2, 4]
Generated Node #0,0,1: 68:[2, 4] Operation: 19-15=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 68:[2, 34], Operations: ['59-57=2', '19+15=34']
Exploring Operation: 2*34=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[57, 19, 15, 59], Operations: []
Exploring Operation: 59-57=2, Resulting Numbers: [19, 15, 2]
Generated Node #0,0: 68:[19, 15, 2] Operation: 59-57=2
Moving to Node #0,0
Current State: 68:[19, 15, 2], Operations: ['59-57=2']
Exploring Operation: 19+15=34, Resulting Numbers: [2, 34]
Generated Node #0,0,0: 68:[2, 34] Operation: 19+15=34
Moving to Node #0,0,0
Current State: 68:[2, 34], Operations: ['59-57=2', '19+15=34']
Exploring Operation: 2*34=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
64,
38,
30,
18
] | 74 | [
"64-38=26",
"30+18=48",
"26+48=74"
] | Current State: 74:[64, 38, 30, 18], Operations: []
Exploring Operation: 64-38=26, Resulting Numbers: [30, 18, 26]
Generated Node #2: [30, 18, 26] from Operation: 64-38=26
Current State: 74:[30, 18, 26], Operations: ['64-38=26']
Exploring Operation: 30+18=48, Resulting Numbers: [26, 48]
Generated Node #3: [26, 48] from Operation: 30+18=48
Current State: 74:[26, 48], Operations: ['64-38=26', '30+18=48']
Exploring Operation: 26+48=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[64, 38, 30, 18], Operations: []
Exploring Operation: 64+18=82, Resulting Numbers: [38, 30, 82]
Generated Node #0,0: 74:[38, 30, 82] Operation: 64+18=82
Exploring Operation: 30+18=48, Resulting Numbers: [64, 38, 48]
Generated Node #0,1: 74:[64, 38, 48] Operation: 30+18=48
Exploring Operation: 64-18=46, Resulting Numbers: [38, 30, 46]
Generated Node #0,2: 74:[38, 30, 46] Operation: 64-18=46
Exploring Operation: 64-30=34, Resulting Numbers: [38, 18, 34]
Generated Node #0,3: 74:[38, 18, 34] Operation: 64-30=34
Exploring Operation: 30-18=12, Resulting Numbers: [64, 38, 12]
Generated Node #0,4: 74:[64, 38, 12] Operation: 30-18=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[38, 30, 82], Operations: ['64+18=82']
Exploring Operation: 38+30=68, Resulting Numbers: [82, 68]
Generated Node #0,0,0: 74:[82, 68] Operation: 38+30=68
Exploring Operation: 82-30=52, Resulting Numbers: [38, 52]
Generated Node #0,0,1: 74:[38, 52] Operation: 82-30=52
Exploring Operation: 82-38=44, Resulting Numbers: [30, 44]
Generated Node #0,0,2: 74:[30, 44] Operation: 82-38=44
Exploring Operation: 30+82=112, Resulting Numbers: [38, 112]
Generated Node #0,0,3: 74:[38, 112] Operation: 30+82=112
Exploring Operation: 38-30=8, Resulting Numbers: [82, 8]
Generated Node #0,0,4: 74:[82, 8] Operation: 38-30=8
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 74:[82, 68], Operations: ['64+18=82', '38+30=68']
Exploring Operation: 82*68=5576, Resulting Numbers: [5576]
5576,74 unequal: No Solution
Exploring Operation: 82-68=14, Resulting Numbers: [14]
14,74 unequal: No Solution
Exploring Operation: 82+68=150, Resulting Numbers: [150]
150,74 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:[30, 44], Operations: ['64+18=82', '82-38=44']
Exploring Operation: 44-30=14, Resulting Numbers: [14]
14,74 unequal: No Solution
Exploring Operation: 30*44=1320, Resulting Numbers: [1320]
1320,74 unequal: No Solution
Exploring Operation: 30+44=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[64, 38, 30, 18], Operations: []
Exploring Operation: 64+18=82, Resulting Numbers: [38, 30, 82]
Generated Node #0,0: 74:[38, 30, 82] Operation: 64+18=82
Moving to Node #0,0
Current State: 74:[38, 30, 82], Operations: ['64+18=82']
Exploring Operation: 82-38=44, Resulting Numbers: [30, 44]
Generated Node #0,0,2: 74:[30, 44] Operation: 82-38=44
Moving to Node #0,0,2
Current State: 74:[30, 44], Operations: ['64+18=82', '82-38=44']
Exploring Operation: 30+44=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.982639 | hs_5 | mult_heuristic |
[
10,
53,
17,
59
] | 77 | [
"59-53=6",
"10*6=60",
"17+60=77"
] | Current State: 77:[10, 53, 17, 59], Operations: []
Exploring Operation: 59-53=6, Resulting Numbers: [10, 17, 6]
Generated Node #2: [10, 17, 6] from Operation: 59-53=6
Current State: 77:[10, 17, 6], Operations: ['59-53=6']
Exploring Operation: 10*6=60, Resulting Numbers: [17, 60]
Generated Node #3: [17, 60] from Operation: 10*6=60
Current State: 77:[17, 60], Operations: ['59-53=6', '10*6=60']
Exploring Operation: 17+60=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[10, 53, 17, 59], Operations: []
Exploring Operation: 53+17=70, Resulting Numbers: [10, 59, 70]
Generated Node #0,0: 77:[10, 59, 70] Operation: 53+17=70
Exploring Operation: 59-53=6, Resulting Numbers: [10, 17, 6]
Generated Node #0,1: 77:[10, 17, 6] Operation: 59-53=6
Moving to Node #0,1
Current State: 77:[10, 17, 6], Operations: ['59-53=6']
Exploring Operation: 17-10=7, Resulting Numbers: [6, 7]
Generated Node #0,1,0: 77:[6, 7] Operation: 17-10=7
Exploring Operation: 17-6=11, Resulting Numbers: [10, 11]
Generated Node #0,1,1: 77:[10, 11] Operation: 17-6=11
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 77:[6, 7], Operations: ['59-53=6', '17-10=7']
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,77 unequal: No Solution
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 77:[10, 11], Operations: ['59-53=6', '17-6=11']
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,77 unequal: No Solution
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 77:[10, 59, 70], Operations: ['53+17=70']
Exploring Operation: 10+59=69, Resulting Numbers: [70, 69]
Generated Node #0,0,0: 77:[70, 69] Operation: 10+59=69
Exploring Operation: 70-59=11, Resulting Numbers: [10, 11]
Generated Node #0,0,1: 77:[10, 11] Operation: 70-59=11
Moving to Node #0,0,1
Current State: 77:[10, 11], Operations: ['53+17=70', '70-59=11']
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,77 unequal: No Solution
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,77 unequal: No Solution
Moving to Node #0,0,0
Current State: 77:[70, 69], Operations: ['53+17=70', '10+59=69']
Exploring Operation: 70-69=1, Resulting Numbers: [1]
1,77 unequal: No Solution
Exploring Operation: 70+69=139, Resulting Numbers: [139]
139,77 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
3,
45,
15,
19
] | 45 | [
"3+15=18",
"19-18=1",
"45*1=45"
] | Current State: 45:[3, 45, 15, 19], Operations: []
Exploring Operation: 3+15=18, Resulting Numbers: [45, 19, 18]
Generated Node #2: [45, 19, 18] from Operation: 3+15=18
Current State: 45:[45, 19, 18], Operations: ['3+15=18']
Exploring Operation: 19-18=1, Resulting Numbers: [45, 1]
Generated Node #3: [45, 1] from Operation: 19-18=1
Current State: 45:[45, 1], Operations: ['3+15=18', '19-18=1']
Exploring Operation: 45*1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[3, 45, 15, 19], Operations: []
Exploring Operation: 19-3=16, Resulting Numbers: [45, 15, 16]
Generated Node #0,0: 45:[45, 15, 16] Operation: 19-3=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 45:[45, 15, 16], Operations: ['19-3=16']
Exploring Operation: 45/15=3, Resulting Numbers: [16, 3]
Generated Node #0,0,0: 45:[16, 3] Operation: 45/15=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 45:[16, 3], Operations: ['19-3=16', '45/15=3']
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
97,
71,
89,
57
] | 58 | [
"97-71=26",
"89-57=32",
"26+32=58"
] | Current State: 58:[97, 71, 89, 57], Operations: []
Exploring Operation: 97-71=26, Resulting Numbers: [89, 57, 26]
Generated Node #2: [89, 57, 26] from Operation: 97-71=26
Current State: 58:[89, 57, 26], Operations: ['97-71=26']
Exploring Operation: 89-57=32, Resulting Numbers: [26, 32]
Generated Node #3: [26, 32] from Operation: 89-57=32
Current State: 58:[26, 32], Operations: ['97-71=26', '89-57=32']
Exploring Operation: 26+32=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[97, 71, 89, 57], Operations: []
Exploring Operation: 89-57=32, Resulting Numbers: [97, 71, 32]
Generated Node #0,0: 58:[97, 71, 32] Operation: 89-57=32
Exploring Operation: 97-71=26, Resulting Numbers: [89, 57, 26]
Generated Node #0,1: 58:[89, 57, 26] Operation: 97-71=26
Exploring Operation: 97-57=40, Resulting Numbers: [71, 89, 40]
Generated Node #0,2: 58:[71, 89, 40] Operation: 97-57=40
Exploring Operation: 97-89=8, Resulting Numbers: [71, 57, 8]
Generated Node #0,3: 58:[71, 57, 8] Operation: 97-89=8
Exploring Operation: 89-71=18, Resulting Numbers: [97, 57, 18]
Generated Node #0,4: 58:[97, 57, 18] Operation: 89-71=18
Start Sub Search at level 1: Moving to Node #0,3
Current State: 58:[71, 57, 8], Operations: ['97-89=8']
Exploring Operation: 57-8=49, Resulting Numbers: [71, 49]
Generated Node #0,3,0: 58:[71, 49] Operation: 57-8=49
Exploring Operation: 57+8=65, Resulting Numbers: [71, 65]
Generated Node #0,3,1: 58:[71, 65] Operation: 57+8=65
Exploring Operation: 71-57=14, Resulting Numbers: [8, 14]
Generated Node #0,3,2: 58:[8, 14] Operation: 71-57=14
Exploring Operation: 71-8=63, Resulting Numbers: [57, 63]
Generated Node #0,3,3: 58:[57, 63] Operation: 71-8=63
Exploring Operation: 71+8=79, Resulting Numbers: [57, 79]
Generated Node #0,3,4: 58:[57, 79] Operation: 71+8=79
Moving to Node #0,3,3
Current State: 58:[57, 63], Operations: ['97-89=8', '71-8=63']
Exploring Operation: 57+63=120, Resulting Numbers: [120]
120,58 unequal: No Solution
Exploring Operation: 63-57=6, Resulting Numbers: [6]
6,58 unequal: No Solution
Exploring Operation: 57*63=3591, Resulting Numbers: [3591]
3591,58 unequal: No Solution
Moving to Node #0,3,2
Current State: 58:[8, 14], Operations: ['97-89=8', '71-57=14']
Exploring Operation: 8*14=112, Resulting Numbers: [112]
112,58 unequal: No Solution
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,58 unequal: No Solution
Exploring Operation: 8+14=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Moving to Node #0,3,1
Current State: 58:[71, 65], Operations: ['97-89=8', '57+8=65']
Exploring Operation: 71+65=136, Resulting Numbers: [136]
136,58 unequal: No Solution
Exploring Operation: 71-65=6, Resulting Numbers: [6]
6,58 unequal: No Solution
Exploring Operation: 71*65=4615, Resulting Numbers: [4615]
4615,58 unequal: No Solution
Moving to Node #0,3,0
Current State: 58:[71, 49], Operations: ['97-89=8', '57-8=49']
Exploring Operation: 71+49=120, Resulting Numbers: [120]
120,58 unequal: No Solution
Exploring Operation: 71*49=3479, Resulting Numbers: [3479]
3479,58 unequal: No Solution
Exploring Operation: 71-49=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Moving to Node #0,3,4
Current State: 58:[57, 79], Operations: ['97-89=8', '71+8=79']
Exploring Operation: 79-57=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Exploring Operation: 57+79=136, Resulting Numbers: [136]
136,58 unequal: No Solution
Exploring Operation: 57*79=4503, Resulting Numbers: [4503]
4503,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 58:[89, 57, 26], Operations: ['97-71=26']
Exploring Operation: 57+26=83, Resulting Numbers: [89, 83]
Generated Node #0,1,0: 58:[89, 83] Operation: 57+26=83
Exploring Operation: 57-26=31, Resulting Numbers: [89, 31]
Generated Node #0,1,1: 58:[89, 31] Operation: 57-26=31
Exploring Operation: 89-26=63, Resulting Numbers: [57, 63]
Generated Node #0,1,2: 58:[57, 63] Operation: 89-26=63
Exploring Operation: 89+26=115, Resulting Numbers: [57, 115]
Generated Node #0,1,3: 58:[57, 115] Operation: 89+26=115
Exploring Operation: 89-57=32, Resulting Numbers: [26, 32]
Generated Node #0,1,4: 58:[26, 32] Operation: 89-57=32
Moving to Node #0,1,2
Current State: 58:[57, 63], Operations: ['97-71=26', '89-26=63']
Exploring Operation: 63-57=6, Resulting Numbers: [6]
6,58 unequal: No Solution
Exploring Operation: 57+63=120, Resulting Numbers: [120]
120,58 unequal: No Solution
Exploring Operation: 57*63=3591, Resulting Numbers: [3591]
3591,58 unequal: No Solution
Moving to Node #0,1,4
Current State: 58:[26, 32], Operations: ['97-71=26', '89-57=32']
Exploring Operation: 32-26=6, Resulting Numbers: [6]
6,58 unequal: No Solution
Exploring Operation: 26*32=832, Resulting Numbers: [832]
832,58 unequal: No Solution
Exploring Operation: 26+32=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[97, 71, 89, 57], Operations: []
Exploring Operation: 97-71=26, Resulting Numbers: [89, 57, 26]
Generated Node #0,1: 58:[89, 57, 26] Operation: 97-71=26
Moving to Node #0,1
Current State: 58:[89, 57, 26], Operations: ['97-71=26']
Exploring Operation: 89-57=32, Resulting Numbers: [26, 32]
Generated Node #0,1,4: 58:[26, 32] Operation: 89-57=32
Moving to Node #0,1,4
Current State: 58:[26, 32], Operations: ['97-71=26', '89-57=32']
Exploring Operation: 26+32=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.965278 | hs_5 | sum_heuristic |
[
32,
11,
8,
34
] | 21 | [
"32-11=21",
"8+34=42",
"42-21=21"
] | Current State: 21:[32, 11, 8, 34], Operations: []
Exploring Operation: 32-11=21, Resulting Numbers: [8, 34, 21]
Generated Node #2: [8, 34, 21] from Operation: 32-11=21
Current State: 21:[8, 34, 21], Operations: ['32-11=21']
Exploring Operation: 8+34=42, Resulting Numbers: [21, 42]
Generated Node #3: [21, 42] from Operation: 8+34=42
Current State: 21:[21, 42], Operations: ['32-11=21', '8+34=42']
Exploring Operation: 42-21=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[32, 11, 8, 34], Operations: []
Exploring Operation: 34-11=23, Resulting Numbers: [32, 8, 23]
Generated Node #0,0: 21:[32, 8, 23] Operation: 34-11=23
Exploring Operation: 34-32=2, Resulting Numbers: [11, 8, 2]
Generated Node #0,1: 21:[11, 8, 2] Operation: 34-32=2
Exploring Operation: 32-11=21, Resulting Numbers: [8, 34, 21]
Generated Node #0,2: 21:[8, 34, 21] Operation: 32-11=21
Exploring Operation: 32/8=4, Resulting Numbers: [11, 34, 4]
Generated Node #0,3: 21:[11, 34, 4] Operation: 32/8=4
Moving to Node #0,1
Current State: 21:[11, 8, 2], Operations: ['34-32=2']
Exploring Operation: 11-8=3, Resulting Numbers: [2, 3]
Generated Node #0,1,0: 21:[2, 3] Operation: 11-8=3
Exploring Operation: 11-2=9, Resulting Numbers: [8, 9]
Generated Node #0,1,1: 21:[8, 9] Operation: 11-2=9
Exploring Operation: 11+8=19, Resulting Numbers: [2, 19]
Generated Node #0,1,2: 21:[2, 19] Operation: 11+8=19
Exploring Operation: 11*2=22, Resulting Numbers: [8, 22]
Generated Node #0,1,3: 21:[8, 22] Operation: 11*2=22
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 21:[2, 3], Operations: ['34-32=2', '11-8=3']
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,21 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 21:[8, 22], Operations: ['34-32=2', '11*2=22']
Exploring Operation: 8+22=30, Resulting Numbers: [30]
30,21 unequal: No Solution
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,21 unequal: No Solution
Exploring Operation: 8*22=176, Resulting Numbers: [176]
176,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 21:[8, 9], Operations: ['34-32=2', '11-2=9']
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,21 unequal: No Solution
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,21 unequal: No Solution
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 21:[2, 19], Operations: ['34-32=2', '11+8=19']
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,21 unequal: No Solution
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,21 unequal: No Solution
Exploring Operation: 2+19=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[32, 11, 8, 34], Operations: []
Exploring Operation: 34-32=2, Resulting Numbers: [11, 8, 2]
Generated Node #0,1: 21:[11, 8, 2] Operation: 34-32=2
Moving to Node #0,1
Current State: 21:[11, 8, 2], Operations: ['34-32=2']
Exploring Operation: 11+8=19, Resulting Numbers: [2, 19]
Generated Node #0,1,2: 21:[2, 19] Operation: 11+8=19
Moving to Node #0,1,2
Current State: 21:[2, 19], Operations: ['34-32=2', '11+8=19']
Exploring Operation: 2+19=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_4 | mult_heuristic |
[
7,
16,
85,
6
] | 82 | [
"16-7=9",
"85+6=91",
"91-9=82"
] | Current State: 82:[7, 16, 85, 6], Operations: []
Exploring Operation: 16-7=9, Resulting Numbers: [85, 6, 9]
Generated Node #2: [85, 6, 9] from Operation: 16-7=9
Current State: 82:[85, 6, 9], Operations: ['16-7=9']
Exploring Operation: 85+6=91, Resulting Numbers: [9, 91]
Generated Node #3: [9, 91] from Operation: 85+6=91
Current State: 82:[9, 91], Operations: ['16-7=9', '85+6=91']
Exploring Operation: 91-9=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[7, 16, 85, 6], Operations: []
Exploring Operation: 16-7=9, Resulting Numbers: [85, 6, 9]
Generated Node #0,0: 82:[85, 6, 9] Operation: 16-7=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[85, 6, 9], Operations: ['16-7=9']
Exploring Operation: 9-6=3, Resulting Numbers: [85, 3]
Generated Node #0,0,0: 82:[85, 3] Operation: 9-6=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 82:[85, 3], Operations: ['16-7=9', '9-6=3']
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[7, 16, 85, 6], Operations: []
Exploring Operation: 16-7=9, Resulting Numbers: [85, 6, 9]
Generated Node #0,0: 82:[85, 6, 9] Operation: 16-7=9
Moving to Node #0,0
Current State: 82:[85, 6, 9], Operations: ['16-7=9']
Exploring Operation: 9-6=3, Resulting Numbers: [85, 3]
Generated Node #0,0,0: 82:[85, 3] Operation: 9-6=3
Moving to Node #0,0,0
Current State: 82:[85, 3], Operations: ['16-7=9', '9-6=3']
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
42,
26,
58,
95
] | 97 | [
"26+58=84",
"84/42=2",
"95+2=97"
] | Current State: 97:[42, 26, 58, 95], Operations: []
Exploring Operation: 26+58=84, Resulting Numbers: [42, 95, 84]
Generated Node #2: [42, 95, 84] from Operation: 26+58=84
Current State: 97:[42, 95, 84], Operations: ['26+58=84']
Exploring Operation: 84/42=2, Resulting Numbers: [95, 2]
Generated Node #3: [95, 2] from Operation: 84/42=2
Current State: 97:[95, 2], Operations: ['26+58=84', '84/42=2']
Exploring Operation: 95+2=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[42, 26, 58, 95], Operations: []
Exploring Operation: 42+26=68, Resulting Numbers: [58, 95, 68]
Generated Node #0,0: 97:[58, 95, 68] Operation: 42+26=68
Moving to Node #0,0
Current State: 97:[58, 95, 68], Operations: ['42+26=68']
Exploring Operation: 58+68=126, Resulting Numbers: [95, 126]
Generated Node #0,0,0: 97:[95, 126] Operation: 58+68=126
Moving to Node #0,0,0
Current State: 97:[95, 126], Operations: ['42+26=68', '58+68=126']
Exploring Operation: 126-95=31, Resulting Numbers: [31]
31,97 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
81,
2,
96,
69
] | 27 | [
"96-81=15",
"69-15=54",
"54/2=27"
] | Current State: 27:[81, 2, 96, 69], Operations: []
Exploring Operation: 96-81=15, Resulting Numbers: [2, 69, 15]
Generated Node #2: [2, 69, 15] from Operation: 96-81=15
Current State: 27:[2, 69, 15], Operations: ['96-81=15']
Exploring Operation: 69-15=54, Resulting Numbers: [2, 54]
Generated Node #3: [2, 54] from Operation: 69-15=54
Current State: 27:[2, 54], Operations: ['96-81=15', '69-15=54']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[81, 2, 96, 69], Operations: []
Exploring Operation: 81-69=12, Resulting Numbers: [2, 96, 12]
Generated Node #0,0: 27:[2, 96, 12] Operation: 81-69=12
Exploring Operation: 96-81=15, Resulting Numbers: [2, 69, 15]
Generated Node #0,1: 27:[2, 69, 15] Operation: 96-81=15
Exploring Operation: 96-69=27, Resulting Numbers: [81, 2, 27]
Generated Node #0,2: 27:[81, 2, 27] Operation: 96-69=27
Moving to Node #0,1
Current State: 27:[2, 69, 15], Operations: ['96-81=15']
Exploring Operation: 69-15=54, Resulting Numbers: [2, 54]
Generated Node #0,1,0: 27:[2, 54] Operation: 69-15=54
Exploring Operation: 69-2=67, Resulting Numbers: [15, 67]
Generated Node #0,1,1: 27:[15, 67] Operation: 69-2=67
Exploring Operation: 2*15=30, Resulting Numbers: [69, 30]
Generated Node #0,1,2: 27:[69, 30] Operation: 2*15=30
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 27:[2, 54], Operations: ['96-81=15', '69-15=54']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[81, 2, 96, 69], Operations: []
Exploring Operation: 96-81=15, Resulting Numbers: [2, 69, 15]
Generated Node #0,1: 27:[2, 69, 15] Operation: 96-81=15
Moving to Node #0,1
Current State: 27:[2, 69, 15], Operations: ['96-81=15']
Exploring Operation: 69-15=54, Resulting Numbers: [2, 54]
Generated Node #0,1,0: 27:[2, 54] Operation: 69-15=54
Moving to Node #0,1,0
Current State: 27:[2, 54], Operations: ['96-81=15', '69-15=54']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
66,
58,
34,
60
] | 34 | [
"66-58=8",
"60-34=26",
"8+26=34"
] | Current State: 34:[66, 58, 34, 60], Operations: []
Exploring Operation: 66-58=8, Resulting Numbers: [34, 60, 8]
Generated Node #2: [34, 60, 8] from Operation: 66-58=8
Current State: 34:[34, 60, 8], Operations: ['66-58=8']
Exploring Operation: 60-34=26, Resulting Numbers: [8, 26]
Generated Node #3: [8, 26] from Operation: 60-34=26
Current State: 34:[8, 26], Operations: ['66-58=8', '60-34=26']
Exploring Operation: 8+26=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[66, 58, 34, 60], Operations: []
Exploring Operation: 66-34=32, Resulting Numbers: [58, 60, 32]
Generated Node #0,0: 34:[58, 60, 32] Operation: 66-34=32
Exploring Operation: 66-60=6, Resulting Numbers: [58, 34, 6]
Generated Node #0,1: 34:[58, 34, 6] Operation: 66-60=6
Exploring Operation: 60-58=2, Resulting Numbers: [66, 34, 2]
Generated Node #0,2: 34:[66, 34, 2] Operation: 60-58=2
Exploring Operation: 66-58=8, Resulting Numbers: [34, 60, 8]
Generated Node #0,3: 34:[34, 60, 8] Operation: 66-58=8
Moving to Node #0,1
Current State: 34:[58, 34, 6], Operations: ['66-60=6']
Exploring Operation: 58-6=52, Resulting Numbers: [34, 52]
Generated Node #0,1,0: 34:[34, 52] Operation: 58-6=52
Exploring Operation: 58+6=64, Resulting Numbers: [34, 64]
Generated Node #0,1,1: 34:[34, 64] Operation: 58+6=64
Exploring Operation: 34+6=40, Resulting Numbers: [58, 40]
Generated Node #0,1,2: 34:[58, 40] Operation: 34+6=40
Exploring Operation: 58-34=24, Resulting Numbers: [6, 24]
Generated Node #0,1,3: 34:[6, 24] Operation: 58-34=24
Moving to Node #0,3
Current State: 34:[34, 60, 8], Operations: ['66-58=8']
Exploring Operation: 34-8=26, Resulting Numbers: [60, 26]
Generated Node #0,3,0: 34:[60, 26] Operation: 34-8=26
Exploring Operation: 60-8=52, Resulting Numbers: [34, 52]
Generated Node #0,3,1: 34:[34, 52] Operation: 60-8=52
Exploring Operation: 60-34=26, Resulting Numbers: [8, 26]
Generated Node #0,3,2: 34:[8, 26] Operation: 60-34=26
Exploring Operation: 34+8=42, Resulting Numbers: [60, 42]
Generated Node #0,3,3: 34:[60, 42] Operation: 34+8=42
Moving to Node #0,2
Current State: 34:[66, 34, 2], Operations: ['60-58=2']
Exploring Operation: 66-34=32, Resulting Numbers: [2, 32]
Generated Node #0,2,0: 34:[2, 32] Operation: 66-34=32
Exploring Operation: 66-2=64, Resulting Numbers: [34, 64]
Generated Node #0,2,1: 34:[34, 64] Operation: 66-2=64
Exploring Operation: 66/2=33, Resulting Numbers: [34, 33]
Generated Node #0,2,2: 34:[34, 33] Operation: 66/2=33
Exploring Operation: 34/2=17, Resulting Numbers: [66, 17]
Generated Node #0,2,3: 34:[66, 17] Operation: 34/2=17
Moving to Node #0,0
Current State: 34:[58, 60, 32], Operations: ['66-34=32']
Exploring Operation: 58+32=90, Resulting Numbers: [60, 90]
Generated Node #0,0,0: 34:[60, 90] Operation: 58+32=90
Exploring Operation: 60-32=28, Resulting Numbers: [58, 28]
Generated Node #0,0,1: 34:[58, 28] Operation: 60-32=28
Exploring Operation: 60-58=2, Resulting Numbers: [32, 2]
Generated Node #0,0,2: 34:[32, 2] Operation: 60-58=2
Exploring Operation: 58-32=26, Resulting Numbers: [60, 26]
Generated Node #0,0,3: 34:[60, 26] Operation: 58-32=26
Moving to Node #0,2,2
Current State: 34:[34, 33], Operations: ['60-58=2', '66/2=33']
Exploring Operation: 34+33=67, Resulting Numbers: [67]
67,34 unequal: No Solution
Exploring Operation: 34*33=1122, Resulting Numbers: [1122]
1122,34 unequal: No Solution
Exploring Operation: 34-33=1, Resulting Numbers: [1]
1,34 unequal: No Solution
Moving to Node #0,0,2
Current State: 34:[32, 2], Operations: ['66-34=32', '60-58=2']
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,34 unequal: No Solution
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[66, 58, 34, 60], Operations: []
Exploring Operation: 66-34=32, Resulting Numbers: [58, 60, 32]
Generated Node #0,0: 34:[58, 60, 32] Operation: 66-34=32
Moving to Node #0,0
Current State: 34:[58, 60, 32], Operations: ['66-34=32']
Exploring Operation: 60-58=2, Resulting Numbers: [32, 2]
Generated Node #0,0,2: 34:[32, 2] Operation: 60-58=2
Moving to Node #0,0,2
Current State: 34:[32, 2], Operations: ['66-34=32', '60-58=2']
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 0.974826 | hs_4 | mult_heuristic |
[
60,
26,
2,
1
] | 92 | [
"60-1=59",
"2*59=118",
"118-26=92"
] | Current State: 92:[60, 26, 2, 1], Operations: []
Exploring Operation: 60-1=59, Resulting Numbers: [26, 2, 59]
Generated Node #2: [26, 2, 59] from Operation: 60-1=59
Current State: 92:[26, 2, 59], Operations: ['60-1=59']
Exploring Operation: 2*59=118, Resulting Numbers: [26, 118]
Generated Node #3: [26, 118] from Operation: 2*59=118
Current State: 92:[26, 118], Operations: ['60-1=59', '2*59=118']
Exploring Operation: 118-26=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[60, 26, 2, 1], Operations: []
Exploring Operation: 60-26=34, Resulting Numbers: [2, 1, 34]
Generated Node #0,0: 92:[2, 1, 34] Operation: 60-26=34
Exploring Operation: 60/2=30, Resulting Numbers: [26, 1, 30]
Generated Node #0,1: 92:[26, 1, 30] Operation: 60/2=30
Exploring Operation: 60+26=86, Resulting Numbers: [2, 1, 86]
Generated Node #0,2: 92:[2, 1, 86] Operation: 60+26=86
Start Sub Search at level 1: Moving to Node #0,2
Current State: 92:[2, 1, 86], Operations: ['60+26=86']
Exploring Operation: 2+86=88, Resulting Numbers: [1, 88]
Generated Node #0,2,0: 92:[1, 88] Operation: 2+86=88
Exploring Operation: 1+86=87, Resulting Numbers: [2, 87]
Generated Node #0,2,1: 92:[2, 87] Operation: 1+86=87
Exploring Operation: 86/2=43, Resulting Numbers: [1, 43]
Generated Node #0,2,2: 92:[1, 43] Operation: 86/2=43
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 92:[1, 43], Operations: ['60+26=86', '86/2=43']
Exploring Operation: 43/1=43, Resulting Numbers: [43]
43,92 unequal: No Solution
Exploring Operation: 1+43=44, Resulting Numbers: [44]
44,92 unequal: No Solution
Exploring Operation: 1*43=43, Resulting Numbers: [43]
43,92 unequal: No Solution
No 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: 92:[1, 88], Operations: ['60+26=86', '2+86=88']
Exploring Operation: 1+88=89, Resulting Numbers: [89]
89,92 unequal: No Solution
Exploring Operation: 88/1=88, Resulting Numbers: [88]
88,92 unequal: No Solution
Exploring Operation: 1*88=88, Resulting Numbers: [88]
88,92 unequal: No Solution
No 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: 92:[2, 87], Operations: ['60+26=86', '1+86=87']
Exploring Operation: 2*87=174, Resulting Numbers: [174]
174,92 unequal: No Solution
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,92 unequal: No Solution
Exploring Operation: 2+87=89, Resulting Numbers: [89]
89,92 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: 92:[26, 1, 30], Operations: ['60/2=30']
Exploring Operation: 26-1=25, Resulting Numbers: [30, 25]
Generated Node #0,1,0: 92:[30, 25] Operation: 26-1=25
Exploring Operation: 30-26=4, Resulting Numbers: [1, 4]
Generated Node #0,1,1: 92:[1, 4] Operation: 30-26=4
Exploring Operation: 30-1=29, Resulting Numbers: [26, 29]
Generated Node #0,1,2: 92:[26, 29] Operation: 30-1=29
Moving to Node #0,1,1
Current State: 92:[1, 4], Operations: ['60/2=30', '30-26=4']
Exploring Operation: 1*4=4, Resulting Numbers: [4]
4,92 unequal: No Solution
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,92 unequal: No Solution
Exploring Operation: 1+4=5, Resulting Numbers: [5]
5,92 unequal: No Solution
Moving to Node #0,1,0
Current State: 92:[30, 25], Operations: ['60/2=30', '26-1=25']
Exploring Operation: 30+25=55, Resulting Numbers: [55]
55,92 unequal: No Solution
Exploring Operation: 30*25=750, Resulting Numbers: [750]
750,92 unequal: No Solution
Exploring Operation: 30-25=5, Resulting Numbers: [5]
5,92 unequal: No Solution
Moving to Node #0,1,2
Current State: 92:[26, 29], Operations: ['60/2=30', '30-1=29']
Exploring Operation: 26*29=754, Resulting Numbers: [754]
754,92 unequal: No Solution
Exploring Operation: 26+29=55, Resulting Numbers: [55]
55,92 unequal: No Solution
Exploring Operation: 29-26=3, Resulting Numbers: [3]
3,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[2, 1, 34], Operations: ['60-26=34']
Exploring Operation: 34-1=33, Resulting Numbers: [2, 33]
Generated Node #0,0,0: 92:[2, 33] Operation: 34-1=33
Exploring Operation: 34-2=32, Resulting Numbers: [1, 32]
Generated Node #0,0,1: 92:[1, 32] Operation: 34-2=32
Exploring Operation: 34/2=17, Resulting Numbers: [1, 17]
Generated Node #0,0,2: 92:[1, 17] Operation: 34/2=17
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 92:[1, 17], Operations: ['60-26=34', '34/2=17']
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,92 unequal: No Solution
Exploring Operation: 1*17=17, Resulting Numbers: [17]
17,92 unequal: No Solution
Exploring Operation: 1+17=18, Resulting Numbers: [18]
18,92 unequal: No Solution
No 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: 92:[2, 33], Operations: ['60-26=34', '34-1=33']
Exploring Operation: 2+33=35, Resulting Numbers: [35]
35,92 unequal: No Solution
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,92 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,92 unequal: No Solution
No 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: 92:[1, 32], Operations: ['60-26=34', '34-2=32']
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,92 unequal: No Solution
Exploring Operation: 32/1=32, Resulting Numbers: [32]
32,92 unequal: No Solution
Exploring Operation: 1*32=32, Resulting Numbers: [32]
32,92 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 |
[
77,
71,
63,
70
] | 14 | [
"77-63=14",
"71-70=1",
"14*1=14"
] | Current State: 14:[77, 71, 63, 70], Operations: []
Exploring Operation: 77-63=14, Resulting Numbers: [71, 70, 14]
Generated Node #2: [71, 70, 14] from Operation: 77-63=14
Current State: 14:[71, 70, 14], Operations: ['77-63=14']
Exploring Operation: 71-70=1, Resulting Numbers: [14, 1]
Generated Node #3: [14, 1] from Operation: 71-70=1
Current State: 14:[14, 1], Operations: ['77-63=14', '71-70=1']
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[77, 71, 63, 70], Operations: []
Exploring Operation: 77-63=14, Resulting Numbers: [71, 70, 14]
Generated Node #0,0: 14:[71, 70, 14] Operation: 77-63=14
Exploring Operation: 77-70=7, Resulting Numbers: [71, 63, 7]
Generated Node #0,1: 14:[71, 63, 7] Operation: 77-70=7
Exploring Operation: 71-70=1, Resulting Numbers: [77, 63, 1]
Generated Node #0,2: 14:[77, 63, 1] Operation: 71-70=1
Exploring Operation: 77-71=6, Resulting Numbers: [63, 70, 6]
Generated Node #0,3: 14:[63, 70, 6] Operation: 77-71=6
Start Sub Search at level 1: Moving to Node #0,1
Current State: 14:[71, 63, 7], Operations: ['77-70=7']
Exploring Operation: 71-7=64, Resulting Numbers: [63, 64]
Generated Node #0,1,0: 14:[63, 64] Operation: 71-7=64
Exploring Operation: 71-63=8, Resulting Numbers: [7, 8]
Generated Node #0,1,1: 14:[7, 8] Operation: 71-63=8
Exploring Operation: 63/7=9, Resulting Numbers: [71, 9]
Generated Node #0,1,2: 14:[71, 9] Operation: 63/7=9
Exploring Operation: 63-7=56, Resulting Numbers: [71, 56]
Generated Node #0,1,3: 14:[71, 56] Operation: 63-7=56
Moving to Node #0,1,1
Current State: 14:[7, 8], Operations: ['77-70=7', '71-63=8']
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,14 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,14 unequal: No Solution
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,14 unequal: No Solution
Moving to Node #0,1,2
Current State: 14:[71, 9], Operations: ['77-70=7', '63/7=9']
Exploring Operation: 71-9=62, Resulting Numbers: [62]
62,14 unequal: No Solution
Exploring Operation: 71+9=80, Resulting Numbers: [80]
80,14 unequal: No Solution
Exploring Operation: 71*9=639, Resulting Numbers: [639]
639,14 unequal: No Solution
Moving to Node #0,1,3
Current State: 14:[71, 56], Operations: ['77-70=7', '63-7=56']
Exploring Operation: 71-56=15, Resulting Numbers: [15]
15,14 unequal: No Solution
Exploring Operation: 71*56=3976, Resulting Numbers: [3976]
3976,14 unequal: No Solution
Exploring Operation: 71+56=127, Resulting Numbers: [127]
127,14 unequal: No Solution
Moving to Node #0,1,0
Current State: 14:[63, 64], Operations: ['77-70=7', '71-7=64']
Exploring Operation: 64-63=1, Resulting Numbers: [1]
1,14 unequal: No Solution
Exploring Operation: 63+64=127, Resulting Numbers: [127]
127,14 unequal: No Solution
Exploring Operation: 63*64=4032, Resulting Numbers: [4032]
4032,14 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 #0,3
Current State: 14:[63, 70, 6], Operations: ['77-71=6']
Exploring Operation: 70-63=7, Resulting Numbers: [6, 7]
Generated Node #0,3,0: 14:[6, 7] Operation: 70-63=7
Exploring Operation: 70-6=64, Resulting Numbers: [63, 64]
Generated Node #0,3,1: 14:[63, 64] Operation: 70-6=64
Exploring Operation: 63+6=69, Resulting Numbers: [70, 69]
Generated Node #0,3,2: 14:[70, 69] Operation: 63+6=69
Exploring Operation: 63-6=57, Resulting Numbers: [70, 57]
Generated Node #0,3,3: 14:[70, 57] Operation: 63-6=57
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 14:[6, 7], Operations: ['77-71=6', '70-63=7']
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,14 unequal: No Solution
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,14 unequal: No Solution
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,14 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 #0,3,1
Current State: 14:[63, 64], Operations: ['77-71=6', '70-6=64']
Exploring Operation: 63+64=127, Resulting Numbers: [127]
127,14 unequal: No Solution
Exploring Operation: 64-63=1, Resulting Numbers: [1]
1,14 unequal: No Solution
Exploring Operation: 63*64=4032, Resulting Numbers: [4032]
4032,14 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 #0,3,3
Current State: 14:[70, 57], Operations: ['77-71=6', '63-6=57']
Exploring Operation: 70*57=3990, Resulting Numbers: [3990]
3990,14 unequal: No Solution
Exploring Operation: 70-57=13, Resulting Numbers: [13]
13,14 unequal: No Solution
Exploring Operation: 70+57=127, Resulting Numbers: [127]
127,14 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 #0,3,2
Current State: 14:[70, 69], Operations: ['77-71=6', '63+6=69']
Exploring Operation: 70*69=4830, Resulting Numbers: [4830]
4830,14 unequal: No Solution
Exploring Operation: 70-69=1, Resulting Numbers: [1]
1,14 unequal: No Solution
Exploring Operation: 70+69=139, Resulting Numbers: [139]
139,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[71, 70, 14], Operations: ['77-63=14']
Exploring Operation: 70-14=56, Resulting Numbers: [71, 56]
Generated Node #0,0,0: 14:[71, 56] Operation: 70-14=56
Exploring Operation: 71-70=1, Resulting Numbers: [14, 1]
Generated Node #0,0,1: 14:[14, 1] Operation: 71-70=1
Exploring Operation: 70/14=5, Resulting Numbers: [71, 5]
Generated Node #0,0,2: 14:[71, 5] Operation: 70/14=5
Exploring Operation: 71-14=57, Resulting Numbers: [70, 57]
Generated Node #0,0,3: 14:[70, 57] Operation: 71-14=57
Moving to Node #0,0,1
Current State: 14:[14, 1], Operations: ['77-63=14', '71-70=1']
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,14 unequal: No Solution
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,14 unequal: No Solution
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[77, 71, 63, 70], Operations: []
Exploring Operation: 77-63=14, Resulting Numbers: [71, 70, 14]
Generated Node #0,0: 14:[71, 70, 14] Operation: 77-63=14
Moving to Node #0,0
Current State: 14:[71, 70, 14], Operations: ['77-63=14']
Exploring Operation: 71-70=1, Resulting Numbers: [14, 1]
Generated Node #0,0,1: 14:[14, 1] Operation: 71-70=1
Moving to Node #0,0,1
Current State: 14:[14, 1], Operations: ['77-63=14', '71-70=1']
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.959201 | hs_4 | mult_heuristic |
[
87,
93,
89,
97
] | 14 | [
"93-87=6",
"97-89=8",
"6+8=14"
] | Current State: 14:[87, 93, 89, 97], Operations: []
Exploring Operation: 93-87=6, Resulting Numbers: [89, 97, 6]
Generated Node #2: [89, 97, 6] from Operation: 93-87=6
Current State: 14:[89, 97, 6], Operations: ['93-87=6']
Exploring Operation: 97-89=8, Resulting Numbers: [6, 8]
Generated Node #3: [6, 8] from Operation: 97-89=8
Current State: 14:[6, 8], Operations: ['93-87=6', '97-89=8']
Exploring Operation: 6+8=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[87, 93, 89, 97], Operations: []
Exploring Operation: 97-93=4, Resulting Numbers: [87, 89, 4]
Generated Node #0,0: 14:[87, 89, 4] Operation: 97-93=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[87, 89, 4], Operations: ['97-93=4']
Exploring Operation: 89-87=2, Resulting Numbers: [4, 2]
Generated Node #0,0,0: 14:[4, 2] Operation: 89-87=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 14:[4, 2], Operations: ['97-93=4', '89-87=2']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,14 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_1 | mult_heuristic |
[
11,
21,
70,
65
] | 76 | [
"70-65=5",
"11*5=55",
"21+55=76"
] | Current State: 76:[11, 21, 70, 65], Operations: []
Exploring Operation: 70-65=5, Resulting Numbers: [11, 21, 5]
Generated Node #2: [11, 21, 5] from Operation: 70-65=5
Current State: 76:[11, 21, 5], Operations: ['70-65=5']
Exploring Operation: 11*5=55, Resulting Numbers: [21, 55]
Generated Node #3: [21, 55] from Operation: 11*5=55
Current State: 76:[21, 55], Operations: ['70-65=5', '11*5=55']
Exploring Operation: 21+55=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[11, 21, 70, 65], Operations: []
Exploring Operation: 11+65=76, Resulting Numbers: [21, 70, 76]
Generated Node #0,0: 76:[21, 70, 76] Operation: 11+65=76
Exploring Operation: 11+70=81, Resulting Numbers: [21, 65, 81]
Generated Node #0,1: 76:[21, 65, 81] Operation: 11+70=81
Exploring Operation: 70-65=5, Resulting Numbers: [11, 21, 5]
Generated Node #0,2: 76:[11, 21, 5] Operation: 70-65=5
Exploring Operation: 65-21=44, Resulting Numbers: [11, 70, 44]
Generated Node #0,3: 76:[11, 70, 44] Operation: 65-21=44
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[21, 70, 76], Operations: ['11+65=76']
Exploring Operation: 76-70=6, Resulting Numbers: [21, 6]
Generated Node #0,0,0: 76:[21, 6] Operation: 76-70=6
Exploring Operation: 70-21=49, Resulting Numbers: [76, 49]
Generated Node #0,0,1: 76:[76, 49] Operation: 70-21=49
Exploring Operation: 76-21=55, Resulting Numbers: [70, 55]
Generated Node #0,0,2: 76:[70, 55] Operation: 76-21=55
Exploring Operation: 21+70=91, Resulting Numbers: [76, 91]
Generated Node #0,0,3: 76:[76, 91] Operation: 21+70=91
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 76:[21, 6], Operations: ['11+65=76', '76-70=6']
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,76 unequal: No Solution
Exploring Operation: 21*6=126, Resulting Numbers: [126]
126,76 unequal: No Solution
Exploring Operation: 21+6=27, Resulting Numbers: [27]
27,76 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:[76, 49], Operations: ['11+65=76', '70-21=49']
Exploring Operation: 76-49=27, Resulting Numbers: [27]
27,76 unequal: No Solution
Exploring Operation: 76*49=3724, Resulting Numbers: [3724]
3724,76 unequal: No Solution
Exploring Operation: 76+49=125, Resulting Numbers: [125]
125,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 76:[76, 91], Operations: ['11+65=76', '21+70=91']
Exploring Operation: 91-76=15, Resulting Numbers: [15]
15,76 unequal: No Solution
Exploring Operation: 76*91=6916, Resulting Numbers: [6916]
6916,76 unequal: No Solution
Exploring Operation: 76+91=167, Resulting Numbers: [167]
167,76 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:[70, 55], Operations: ['11+65=76', '76-21=55']
Exploring Operation: 70*55=3850, Resulting Numbers: [3850]
3850,76 unequal: No Solution
Exploring Operation: 70+55=125, Resulting Numbers: [125]
125,76 unequal: No Solution
Exploring Operation: 70-55=15, Resulting Numbers: [15]
15,76 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 #0,2
Current State: 76:[11, 21, 5], Operations: ['70-65=5']
Exploring Operation: 21-11=10, Resulting Numbers: [5, 10]
Generated Node #0,2,0: 76:[5, 10] Operation: 21-11=10
Exploring Operation: 11+21=32, Resulting Numbers: [5, 32]
Generated Node #0,2,1: 76:[5, 32] Operation: 11+21=32
Exploring Operation: 11+5=16, Resulting Numbers: [21, 16]
Generated Node #0,2,2: 76:[21, 16] Operation: 11+5=16
Exploring Operation: 11-5=6, Resulting Numbers: [21, 6]
Generated Node #0,2,3: 76:[21, 6] Operation: 11-5=6
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 76:[21, 6], Operations: ['70-65=5', '11-5=6']
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,76 unequal: No Solution
Exploring Operation: 21*6=126, Resulting Numbers: [126]
126,76 unequal: No Solution
Exploring Operation: 21+6=27, Resulting Numbers: [27]
27,76 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:[21, 16], Operations: ['70-65=5', '11+5=16']
Exploring Operation: 21+16=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 21*16=336, Resulting Numbers: [336]
336,76 unequal: No Solution
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 76:[5, 10], Operations: ['70-65=5', '21-11=10']
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,76 unequal: No Solution
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,76 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Exploring Operation: 5+10=15, Resulting Numbers: [15]
15,76 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:[5, 32], Operations: ['70-65=5', '11+21=32']
Exploring Operation: 5*32=160, Resulting Numbers: [160]
160,76 unequal: No Solution
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[21, 65, 81], Operations: ['11+70=81']
Exploring Operation: 81-65=16, Resulting Numbers: [21, 16]
Generated Node #0,1,0: 76:[21, 16] Operation: 81-65=16
Exploring Operation: 65-21=44, Resulting Numbers: [81, 44]
Generated Node #0,1,1: 76:[81, 44] Operation: 65-21=44
Exploring Operation: 21+65=86, Resulting Numbers: [81, 86]
Generated Node #0,1,2: 76:[81, 86] Operation: 21+65=86
Exploring Operation: 81-21=60, Resulting Numbers: [65, 60]
Generated Node #0,1,3: 76:[65, 60] Operation: 81-21=60
Moving to Node #0,1,0
Current State: 76:[21, 16], Operations: ['11+70=81', '81-65=16']
Exploring Operation: 21+16=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 21*16=336, Resulting Numbers: [336]
336,76 unequal: No Solution
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[81, 44], Operations: ['11+70=81', '65-21=44']
Exploring Operation: 81-44=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 81+44=125, Resulting Numbers: [125]
125,76 unequal: No Solution
Exploring Operation: 81*44=3564, Resulting Numbers: [3564]
3564,76 unequal: No Solution
Moving to Node #0,1,2
Current State: 76:[81, 86], Operations: ['11+70=81', '21+65=86']
Exploring Operation: 81*86=6966, Resulting Numbers: [6966]
6966,76 unequal: No Solution
Exploring Operation: 86-81=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Exploring Operation: 81+86=167, Resulting Numbers: [167]
167,76 unequal: No Solution
Moving to Node #0,1,3
Current State: 76:[65, 60], Operations: ['11+70=81', '81-21=60']
Exploring Operation: 65-60=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Exploring Operation: 65+60=125, Resulting Numbers: [125]
125,76 unequal: No Solution
Exploring Operation: 65*60=3900, Resulting Numbers: [3900]
3900,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 76:[11, 70, 44], Operations: ['65-21=44']
Exploring Operation: 44/11=4, Resulting Numbers: [70, 4]
Generated Node #0,3,0: 76:[70, 4] Operation: 44/11=4
Exploring Operation: 11+70=81, Resulting Numbers: [44, 81]
Generated Node #0,3,1: 76:[44, 81] Operation: 11+70=81
Exploring Operation: 44-11=33, Resulting Numbers: [70, 33]
Generated Node #0,3,2: 76:[70, 33] Operation: 44-11=33
Exploring Operation: 70-44=26, Resulting Numbers: [11, 26]
Generated Node #0,3,3: 76:[11, 26] Operation: 70-44=26
Moving to Node #0,3,0
Current State: 76:[70, 4], Operations: ['65-21=44', '44/11=4']
Exploring Operation: 70+4=74, Resulting Numbers: [74]
74,76 unequal: No Solution
Exploring Operation: 70-4=66, Resulting Numbers: [66]
66,76 unequal: No Solution
Exploring Operation: 70*4=280, Resulting Numbers: [280]
280,76 unequal: No Solution
Moving to Node #0,3,2
Current State: 76:[70, 33], Operations: ['65-21=44', '44-11=33']
Exploring Operation: 70*33=2310, Resulting Numbers: [2310]
2310,76 unequal: No Solution
Exploring Operation: 70+33=103, Resulting Numbers: [103]
103,76 unequal: No Solution
Exploring Operation: 70-33=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Moving to Node #0,3,1
Current State: 76:[44, 81], Operations: ['65-21=44', '11+70=81']
Exploring Operation: 44+81=125, Resulting Numbers: [125]
125,76 unequal: No Solution
Exploring Operation: 81-44=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 44*81=3564, Resulting Numbers: [3564]
3564,76 unequal: No Solution
Moving to Node #0,3,3
Current State: 76:[11, 26], Operations: ['65-21=44', '70-44=26']
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,76 unequal: No Solution
Exploring Operation: 11*26=286, Resulting Numbers: [286]
286,76 unequal: No Solution
Exploring Operation: 11+26=37, Resulting Numbers: [37]
37,76 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 |
[
96,
23,
71,
93
] | 97 | [
"96+23=119",
"93-71=22",
"119-22=97"
] | Current State: 97:[96, 23, 71, 93], Operations: []
Exploring Operation: 96+23=119, Resulting Numbers: [71, 93, 119]
Generated Node #2: [71, 93, 119] from Operation: 96+23=119
Current State: 97:[71, 93, 119], Operations: ['96+23=119']
Exploring Operation: 93-71=22, Resulting Numbers: [119, 22]
Generated Node #3: [119, 22] from Operation: 93-71=22
Current State: 97:[119, 22], Operations: ['96+23=119', '93-71=22']
Exploring Operation: 119-22=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[96, 23, 71, 93], Operations: []
Exploring Operation: 96-23=73, Resulting Numbers: [71, 93, 73]
Generated Node #0,0: 97:[71, 93, 73] Operation: 96-23=73
Exploring Operation: 23+93=116, Resulting Numbers: [96, 71, 116]
Generated Node #0,1: 97:[96, 71, 116] Operation: 23+93=116
Exploring Operation: 96+23=119, Resulting Numbers: [71, 93, 119]
Generated Node #0,2: 97:[71, 93, 119] Operation: 96+23=119
Exploring Operation: 23+71=94, Resulting Numbers: [96, 93, 94]
Generated Node #0,3: 97:[96, 93, 94] Operation: 23+71=94
Start Sub Search at level 1: Moving to Node #0,3
Current State: 97:[96, 93, 94], Operations: ['23+71=94']
Exploring Operation: 96+94=190, Resulting Numbers: [93, 190]
Generated Node #0,3,0: 97:[93, 190] Operation: 96+94=190
Exploring Operation: 93+94=187, Resulting Numbers: [96, 187]
Generated Node #0,3,1: 97:[96, 187] Operation: 93+94=187
Exploring Operation: 96-93=3, Resulting Numbers: [94, 3]
Generated Node #0,3,2: 97:[94, 3] Operation: 96-93=3
Exploring Operation: 96+93=189, Resulting Numbers: [94, 189]
Generated Node #0,3,3: 97:[94, 189] Operation: 96+93=189
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 97:[96, 187], Operations: ['23+71=94', '93+94=187']
Exploring Operation: 96*187=17952, Resulting Numbers: [17952]
17952,97 unequal: No Solution
Exploring Operation: 96+187=283, Resulting Numbers: [283]
283,97 unequal: No Solution
Exploring Operation: 187-96=91, Resulting Numbers: [91]
91,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 97:[94, 189], Operations: ['23+71=94', '96+93=189']
Exploring Operation: 94+189=283, Resulting Numbers: [283]
283,97 unequal: No Solution
Exploring Operation: 94*189=17766, Resulting Numbers: [17766]
17766,97 unequal: No Solution
Exploring Operation: 189-94=95, Resulting Numbers: [95]
95,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 97:[93, 190], Operations: ['23+71=94', '96+94=190']
Exploring Operation: 93+190=283, Resulting Numbers: [283]
283,97 unequal: No Solution
Exploring Operation: 93*190=17670, Resulting Numbers: [17670]
17670,97 unequal: No Solution
Exploring Operation: 190-93=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[96, 23, 71, 93], Operations: []
Exploring Operation: 23+71=94, Resulting Numbers: [96, 93, 94]
Generated Node #0,3: 97:[96, 93, 94] Operation: 23+71=94
Moving to Node #0,3
Current State: 97:[96, 93, 94], Operations: ['23+71=94']
Exploring Operation: 96+94=190, Resulting Numbers: [93, 190]
Generated Node #0,3,0: 97:[93, 190] Operation: 96+94=190
Moving to Node #0,3,0
Current State: 97:[93, 190], Operations: ['23+71=94', '96+94=190']
Exploring Operation: 190-93=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.981771 | hs_4 | mult_heuristic |
[
44,
77,
62,
78
] | 19 | [
"44+77=121",
"62+78=140",
"140-121=19"
] | Current State: 19:[44, 77, 62, 78], Operations: []
Exploring Operation: 44+77=121, Resulting Numbers: [62, 78, 121]
Generated Node #2: [62, 78, 121] from Operation: 44+77=121
Current State: 19:[62, 78, 121], Operations: ['44+77=121']
Exploring Operation: 62+78=140, Resulting Numbers: [121, 140]
Generated Node #3: [121, 140] from Operation: 62+78=140
Current State: 19:[121, 140], Operations: ['44+77=121', '62+78=140']
Exploring Operation: 140-121=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[44, 77, 62, 78], Operations: []
Exploring Operation: 78-77=1, Resulting Numbers: [44, 62, 1]
Generated Node #0,0: 19:[44, 62, 1] Operation: 78-77=1
Exploring Operation: 78-62=16, Resulting Numbers: [44, 77, 16]
Generated Node #0,1: 19:[44, 77, 16] Operation: 78-62=16
Moving to Node #0,0
Current State: 19:[44, 62, 1], Operations: ['78-77=1']
Exploring Operation: 62-44=18, Resulting Numbers: [1, 18]
Generated Node #0,0,0: 19:[1, 18] Operation: 62-44=18
Exploring Operation: 44-1=43, Resulting Numbers: [62, 43]
Generated Node #0,0,1: 19:[62, 43] Operation: 44-1=43
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 19:[1, 18], Operations: ['78-77=1', '62-44=18']
Exploring Operation: 1*18=18, Resulting Numbers: [18]
18,19 unequal: No Solution
Exploring Operation: 1+18=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[44, 77, 62, 78], Operations: []
Exploring Operation: 78-77=1, Resulting Numbers: [44, 62, 1]
Generated Node #0,0: 19:[44, 62, 1] Operation: 78-77=1
Moving to Node #0,0
Current State: 19:[44, 62, 1], Operations: ['78-77=1']
Exploring Operation: 62-44=18, Resulting Numbers: [1, 18]
Generated Node #0,0,0: 19:[1, 18] Operation: 62-44=18
Moving to Node #0,0,0
Current State: 19:[1, 18], Operations: ['78-77=1', '62-44=18']
Exploring Operation: 1+18=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
22,
51,
54,
72
] | 30 | [
"22*72=1584",
"1584-54=1530",
"1530/51=30"
] | Current State: 30:[22, 51, 54, 72], Operations: []
Exploring Operation: 22*72=1584, Resulting Numbers: [51, 54, 1584]
Generated Node #2: [51, 54, 1584] from Operation: 22*72=1584
Current State: 30:[51, 54, 1584], Operations: ['22*72=1584']
Exploring Operation: 1584-54=1530, Resulting Numbers: [51, 1530]
Generated Node #3: [51, 1530] from Operation: 1584-54=1530
Current State: 30:[51, 1530], Operations: ['22*72=1584', '1584-54=1530']
Exploring Operation: 1530/51=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[22, 51, 54, 72], Operations: []
Exploring Operation: 72-22=50, Resulting Numbers: [51, 54, 50]
Generated Node #0,0: 30:[51, 54, 50] Operation: 72-22=50
Exploring Operation: 54-22=32, Resulting Numbers: [51, 72, 32]
Generated Node #0,1: 30:[51, 72, 32] Operation: 54-22=32
Exploring Operation: 54-51=3, Resulting Numbers: [22, 72, 3]
Generated Node #0,2: 30:[22, 72, 3] Operation: 54-51=3
Exploring Operation: 72-51=21, Resulting Numbers: [22, 54, 21]
Generated Node #0,3: 30:[22, 54, 21] Operation: 72-51=21
Exploring Operation: 72-54=18, Resulting Numbers: [22, 51, 18]
Generated Node #0,4: 30:[22, 51, 18] Operation: 72-54=18
Start Sub Search at level 1: Moving to Node #0,4
Current State: 30:[22, 51, 18], Operations: ['72-54=18']
Exploring Operation: 51-18=33, Resulting Numbers: [22, 33]
Generated Node #0,4,0: 30:[22, 33] Operation: 51-18=33
Exploring Operation: 22+51=73, Resulting Numbers: [18, 73]
Generated Node #0,4,1: 30:[18, 73] Operation: 22+51=73
Exploring Operation: 22+18=40, Resulting Numbers: [51, 40]
Generated Node #0,4,2: 30:[51, 40] Operation: 22+18=40
Exploring Operation: 51-22=29, Resulting Numbers: [18, 29]
Generated Node #0,4,3: 30:[18, 29] Operation: 51-22=29
Exploring Operation: 22-18=4, Resulting Numbers: [51, 4]
Generated Node #0,4,4: 30:[51, 4] Operation: 22-18=4
Moving to Node #0,4,3
Current State: 30:[18, 29], Operations: ['72-54=18', '51-22=29']
Exploring Operation: 18*29=522, Resulting Numbers: [522]
522,30 unequal: No Solution
Exploring Operation: 29-18=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Exploring Operation: 18+29=47, Resulting Numbers: [47]
47,30 unequal: No Solution
Moving to Node #0,4,0
Current State: 30:[22, 33], Operations: ['72-54=18', '51-18=33']
Exploring Operation: 33-22=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Exploring Operation: 22+33=55, Resulting Numbers: [55]
55,30 unequal: No Solution
Exploring Operation: 22*33=726, Resulting Numbers: [726]
726,30 unequal: No Solution
Moving to Node #0,4,4
Current State: 30:[51, 4], Operations: ['72-54=18', '22-18=4']
Exploring Operation: 51*4=204, Resulting Numbers: [204]
204,30 unequal: No Solution
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,30 unequal: No Solution
Exploring Operation: 51+4=55, Resulting Numbers: [55]
55,30 unequal: No Solution
Moving to Node #0,4,2
Current State: 30:[51, 40], Operations: ['72-54=18', '22+18=40']
Exploring Operation: 51*40=2040, Resulting Numbers: [2040]
2040,30 unequal: No Solution
Exploring Operation: 51+40=91, Resulting Numbers: [91]
91,30 unequal: No Solution
Exploring Operation: 51-40=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Moving to Node #0,4,1
Current State: 30:[18, 73], Operations: ['72-54=18', '22+51=73']
Exploring Operation: 18*73=1314, Resulting Numbers: [1314]
1314,30 unequal: No Solution
Exploring Operation: 73-18=55, Resulting Numbers: [55]
55,30 unequal: No Solution
Exploring Operation: 18+73=91, Resulting Numbers: [91]
91,30 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 #0,3
Current State: 30:[22, 54, 21], Operations: ['72-51=21']
Exploring Operation: 54-22=32, Resulting Numbers: [21, 32]
Generated Node #0,3,0: 30:[21, 32] Operation: 54-22=32
Exploring Operation: 22-21=1, Resulting Numbers: [54, 1]
Generated Node #0,3,1: 30:[54, 1] Operation: 22-21=1
Exploring Operation: 22+21=43, Resulting Numbers: [54, 43]
Generated Node #0,3,2: 30:[54, 43] Operation: 22+21=43
Exploring Operation: 54-21=33, Resulting Numbers: [22, 33]
Generated Node #0,3,3: 30:[22, 33] Operation: 54-21=33
Exploring Operation: 22+54=76, Resulting Numbers: [21, 76]
Generated Node #0,3,4: 30:[21, 76] Operation: 22+54=76
Moving to Node #0,3,0
Current State: 30:[21, 32], Operations: ['72-51=21', '54-22=32']
Exploring Operation: 21+32=53, Resulting Numbers: [53]
53,30 unequal: No Solution
Exploring Operation: 32-21=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Exploring Operation: 21*32=672, Resulting Numbers: [672]
672,30 unequal: No Solution
Moving to Node #0,3,3
Current State: 30:[22, 33], Operations: ['72-51=21', '54-21=33']
Exploring Operation: 33-22=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Exploring Operation: 22+33=55, Resulting Numbers: [55]
55,30 unequal: No Solution
Exploring Operation: 22*33=726, Resulting Numbers: [726]
726,30 unequal: No Solution
Moving to Node #0,3,1
Current State: 30:[54, 1], Operations: ['72-51=21', '22-21=1']
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,30 unequal: No Solution
Exploring Operation: 54*1=54, Resulting Numbers: [54]
54,30 unequal: No Solution
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,30 unequal: No Solution
Exploring Operation: 54+1=55, Resulting Numbers: [55]
55,30 unequal: No Solution
Moving to Node #0,3,2
Current State: 30:[54, 43], Operations: ['72-51=21', '22+21=43']
Exploring Operation: 54*43=2322, Resulting Numbers: [2322]
2322,30 unequal: No Solution
Exploring Operation: 54+43=97, Resulting Numbers: [97]
97,30 unequal: No Solution
Exploring Operation: 54-43=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Moving to Node #0,3,4
Current State: 30:[21, 76], Operations: ['72-51=21', '22+54=76']
Exploring Operation: 21*76=1596, Resulting Numbers: [1596]
1596,30 unequal: No Solution
Exploring Operation: 21+76=97, Resulting Numbers: [97]
97,30 unequal: No Solution
Exploring Operation: 76-21=55, Resulting Numbers: [55]
55,30 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
Current State: 30:[22, 72, 3], Operations: ['54-51=3']
Exploring Operation: 22-3=19, Resulting Numbers: [72, 19]
Generated Node #0,2,0: 30:[72, 19] Operation: 22-3=19
Exploring Operation: 72/3=24, Resulting Numbers: [22, 24]
Generated Node #0,2,1: 30:[22, 24] Operation: 72/3=24
Exploring Operation: 72-22=50, Resulting Numbers: [3, 50]
Generated Node #0,2,2: 30:[3, 50] Operation: 72-22=50
Exploring Operation: 22+3=25, Resulting Numbers: [72, 25]
Generated Node #0,2,3: 30:[72, 25] Operation: 22+3=25
Exploring Operation: 72-3=69, Resulting Numbers: [22, 69]
Generated Node #0,2,4: 30:[22, 69] Operation: 72-3=69
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 30:[22, 24], Operations: ['54-51=3', '72/3=24']
Exploring Operation: 22+24=46, Resulting Numbers: [46]
46,30 unequal: No Solution
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,30 unequal: No Solution
Exploring Operation: 22*24=528, Resulting Numbers: [528]
528,30 unequal: No Solution
No 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: 30:[3, 50], Operations: ['54-51=3', '72-22=50']
Exploring Operation: 3*50=150, Resulting Numbers: [150]
150,30 unequal: No Solution
Exploring Operation: 3+50=53, Resulting Numbers: [53]
53,30 unequal: No Solution
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,30 unequal: No Solution
No 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: 30:[72, 19], Operations: ['54-51=3', '22-3=19']
Exploring Operation: 72+19=91, Resulting Numbers: [91]
91,30 unequal: No Solution
Exploring Operation: 72-19=53, Resulting Numbers: [53]
53,30 unequal: No Solution
Exploring Operation: 72*19=1368, Resulting Numbers: [1368]
1368,30 unequal: No Solution
No 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: 30:[22, 69], Operations: ['54-51=3', '72-3=69']
Exploring Operation: 22+69=91, Resulting Numbers: [91]
91,30 unequal: No Solution
Exploring Operation: 22*69=1518, Resulting Numbers: [1518]
1518,30 unequal: No Solution
Exploring Operation: 69-22=47, Resulting Numbers: [47]
47,30 unequal: No Solution
No 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: 30:[72, 25], Operations: ['54-51=3', '22+3=25']
Exploring Operation: 72+25=97, Resulting Numbers: [97]
97,30 unequal: No Solution
Exploring Operation: 72-25=47, Resulting Numbers: [47]
47,30 unequal: No Solution
Exploring Operation: 72*25=1800, Resulting Numbers: [1800]
1800,30 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: 30:[51, 54, 50], Operations: ['72-22=50']
Exploring Operation: 54-50=4, Resulting Numbers: [51, 4]
Generated Node #0,0,0: 30:[51, 4] Operation: 54-50=4
Exploring Operation: 54-51=3, Resulting Numbers: [50, 3]
Generated Node #0,0,1: 30:[50, 3] Operation: 54-51=3
Exploring Operation: 51-50=1, Resulting Numbers: [54, 1]
Generated Node #0,0,2: 30:[54, 1] Operation: 51-50=1
Exploring Operation: 51+54=105, Resulting Numbers: [50, 105]
Generated Node #0,0,3: 30:[50, 105] Operation: 51+54=105
Exploring Operation: 51+50=101, Resulting Numbers: [54, 101]
Generated Node #0,0,4: 30:[54, 101] Operation: 51+50=101
Moving to Node #0,0,1
Current State: 30:[50, 3], Operations: ['72-22=50', '54-51=3']
Exploring Operation: 50*3=150, Resulting Numbers: [150]
150,30 unequal: No Solution
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,30 unequal: No Solution
Exploring Operation: 50+3=53, Resulting Numbers: [53]
53,30 unequal: No Solution
Moving to Node #0,0,0
Current State: 30:[51, 4], Operations: ['72-22=50', '54-50=4']
Exploring Operation: 51*4=204, Resulting Numbers: [204]
204,30 unequal: No Solution
Exploring Operation: 51+4=55, Resulting Numbers: [55]
55,30 unequal: No Solution
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,30 unequal: No Solution
Moving to Node #0,0,2
Current State: 30:[54, 1], Operations: ['72-22=50', '51-50=1']
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,30 unequal: No Solution
Exploring Operation: 54+1=55, Resulting Numbers: [55]
55,30 unequal: No Solution
Exploring Operation: 54*1=54, Resulting Numbers: [54]
54,30 unequal: No Solution
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,30 unequal: No Solution
Moving to Node #0,0,3
Current State: 30:[50, 105], Operations: ['72-22=50', '51+54=105']
Exploring Operation: 50*105=5250, Resulting Numbers: [5250]
5250,30 unequal: No Solution
Exploring Operation: 105-50=55, Resulting Numbers: [55]
55,30 unequal: No Solution
Exploring Operation: 50+105=155, Resulting Numbers: [155]
155,30 unequal: No Solution
Moving to Node #0,0,4
Current State: 30:[54, 101], Operations: ['72-22=50', '51+50=101']
Exploring Operation: 101-54=47, Resulting Numbers: [47]
47,30 unequal: No Solution
Exploring Operation: 54*101=5454, Resulting Numbers: [5454]
5454,30 unequal: No Solution
Exploring Operation: 54+101=155, Resulting Numbers: [155]
155,30 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 #0,1
Current State: 30:[51, 72, 32], Operations: ['54-22=32']
Exploring Operation: 51-32=19, Resulting Numbers: [72, 19]
Generated Node #0,1,0: 30:[72, 19] Operation: 51-32=19
Exploring Operation: 72-51=21, Resulting Numbers: [32, 21]
Generated Node #0,1,1: 30:[32, 21] Operation: 72-51=21
Exploring Operation: 51+72=123, Resulting Numbers: [32, 123]
Generated Node #0,1,2: 30:[32, 123] Operation: 51+72=123
Exploring Operation: 51+32=83, Resulting Numbers: [72, 83]
Generated Node #0,1,3: 30:[72, 83] Operation: 51+32=83
Exploring Operation: 72-32=40, Resulting Numbers: [51, 40]
Generated Node #0,1,4: 30:[51, 40] Operation: 72-32=40
Moving to Node #0,1,1
Current State: 30:[32, 21], Operations: ['54-22=32', '72-51=21']
Exploring Operation: 32*21=672, Resulting Numbers: [672]
672,30 unequal: No Solution
Exploring Operation: 32-21=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Exploring Operation: 32+21=53, Resulting Numbers: [53]
53,30 unequal: No Solution
Moving to Node #0,1,4
Current State: 30:[51, 40], Operations: ['54-22=32', '72-32=40']
Exploring Operation: 51+40=91, Resulting Numbers: [91]
91,30 unequal: No Solution
Exploring Operation: 51-40=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Exploring Operation: 51*40=2040, Resulting Numbers: [2040]
2040,30 unequal: No Solution
Moving to Node #0,1,0
Current State: 30:[72, 19], Operations: ['54-22=32', '51-32=19']
Exploring Operation: 72*19=1368, Resulting Numbers: [1368]
1368,30 unequal: No Solution
Exploring Operation: 72+19=91, Resulting Numbers: [91]
91,30 unequal: No Solution
Exploring Operation: 72-19=53, Resulting Numbers: [53]
53,30 unequal: No Solution
Moving to Node #0,1,2
Current State: 30:[32, 123], Operations: ['54-22=32', '51+72=123']
Exploring Operation: 32+123=155, Resulting Numbers: [155]
155,30 unequal: No Solution
Exploring Operation: 123-32=91, Resulting Numbers: [91]
91,30 unequal: No Solution
Exploring Operation: 32*123=3936, Resulting Numbers: [3936]
3936,30 unequal: No Solution
Moving to Node #0,1,3
Current State: 30:[72, 83], Operations: ['54-22=32', '51+32=83']
Exploring Operation: 83-72=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Exploring Operation: 72*83=5976, Resulting Numbers: [5976]
5976,30 unequal: No Solution
Exploring Operation: 72+83=155, Resulting Numbers: [155]
155,30 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 |
[
30,
13,
36,
4
] | 49 | [
"30-13=17",
"36-4=32",
"17+32=49"
] | Current State: 49:[30, 13, 36, 4], Operations: []
Exploring Operation: 30-13=17, Resulting Numbers: [36, 4, 17]
Generated Node #2: [36, 4, 17] from Operation: 30-13=17
Current State: 49:[36, 4, 17], Operations: ['30-13=17']
Exploring Operation: 36-4=32, Resulting Numbers: [17, 32]
Generated Node #3: [17, 32] from Operation: 36-4=32
Current State: 49:[17, 32], Operations: ['30-13=17', '36-4=32']
Exploring Operation: 17+32=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[30, 13, 36, 4], Operations: []
Exploring Operation: 30+36=66, Resulting Numbers: [13, 4, 66]
Generated Node #0,0: 49:[13, 4, 66] Operation: 30+36=66
Exploring Operation: 30-13=17, Resulting Numbers: [36, 4, 17]
Generated Node #0,1: 49:[36, 4, 17] Operation: 30-13=17
Exploring Operation: 36-30=6, Resulting Numbers: [13, 4, 6]
Generated Node #0,2: 49:[13, 4, 6] Operation: 36-30=6
Exploring Operation: 30+13=43, Resulting Numbers: [36, 4, 43]
Generated Node #0,3: 49:[36, 4, 43] Operation: 30+13=43
Exploring Operation: 13+36=49, Resulting Numbers: [30, 4, 49]
Generated Node #0,4: 49:[30, 4, 49] Operation: 13+36=49
Moving to Node #0,2
Current State: 49:[13, 4, 6], Operations: ['36-30=6']
Exploring Operation: 4+6=10, Resulting Numbers: [13, 10]
Generated Node #0,2,0: 49:[13, 10] Operation: 4+6=10
Exploring Operation: 13-4=9, Resulting Numbers: [6, 9]
Generated Node #0,2,1: 49:[6, 9] Operation: 13-4=9
Exploring Operation: 13-6=7, Resulting Numbers: [4, 7]
Generated Node #0,2,2: 49:[4, 7] Operation: 13-6=7
Exploring Operation: 13*4=52, Resulting Numbers: [6, 52]
Generated Node #0,2,3: 49:[6, 52] Operation: 13*4=52
Exploring Operation: 13+4=17, Resulting Numbers: [6, 17]
Generated Node #0,2,4: 49:[6, 17] Operation: 13+4=17
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 49:[6, 9], Operations: ['36-30=6', '13-4=9']
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,49 unequal: No Solution
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,49 unequal: No Solution
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 49:[4, 7], Operations: ['36-30=6', '13-6=7']
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,49 unequal: No Solution
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,49 unequal: No Solution
Exploring Operation: 4+7=11, Resulting Numbers: [11]
11,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 49:[6, 52], Operations: ['36-30=6', '13*4=52']
Exploring Operation: 6+52=58, Resulting Numbers: [58]
58,49 unequal: No Solution
Exploring Operation: 6*52=312, Resulting Numbers: [312]
312,49 unequal: No Solution
Exploring Operation: 52-6=46, Resulting Numbers: [46]
46,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 49:[13, 10], Operations: ['36-30=6', '4+6=10']
Exploring Operation: 13+10=23, Resulting Numbers: [23]
23,49 unequal: No Solution
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,49 unequal: No Solution
Exploring Operation: 13*10=130, Resulting Numbers: [130]
130,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 49:[6, 17], Operations: ['36-30=6', '13+4=17']
Exploring Operation: 6*17=102, Resulting Numbers: [102]
102,49 unequal: No Solution
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,49 unequal: No Solution
Exploring Operation: 6+17=23, Resulting Numbers: [23]
23,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 49:[30, 4, 49], Operations: ['13+36=49']
Exploring Operation: 49-30=19, Resulting Numbers: [4, 19]
Generated Node #0,4,0: 49:[4, 19] Operation: 49-30=19
Exploring Operation: 4+49=53, Resulting Numbers: [30, 53]
Generated Node #0,4,1: 49:[30, 53] Operation: 4+49=53
Exploring Operation: 49-4=45, Resulting Numbers: [30, 45]
Generated Node #0,4,2: 49:[30, 45] Operation: 49-4=45
Exploring Operation: 30-4=26, Resulting Numbers: [49, 26]
Generated Node #0,4,3: 49:[49, 26] Operation: 30-4=26
Exploring Operation: 30+4=34, Resulting Numbers: [49, 34]
Generated Node #0,4,4: 49:[49, 34] Operation: 30+4=34
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 49:[4, 19], Operations: ['13+36=49', '49-30=19']
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,49 unequal: No Solution
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 49:[49, 34], Operations: ['13+36=49', '30+4=34']
Exploring Operation: 49-34=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Exploring Operation: 49+34=83, Resulting Numbers: [83]
83,49 unequal: No Solution
Exploring Operation: 49*34=1666, Resulting Numbers: [1666]
1666,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 49:[49, 26], Operations: ['13+36=49', '30-4=26']
Exploring Operation: 49-26=23, Resulting Numbers: [23]
23,49 unequal: No Solution
Exploring Operation: 49+26=75, Resulting Numbers: [75]
75,49 unequal: No Solution
Exploring Operation: 49*26=1274, Resulting Numbers: [1274]
1274,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 49:[30, 53], Operations: ['13+36=49', '4+49=53']
Exploring Operation: 30*53=1590, Resulting Numbers: [1590]
1590,49 unequal: No Solution
Exploring Operation: 30+53=83, Resulting Numbers: [83]
83,49 unequal: No Solution
Exploring Operation: 53-30=23, Resulting Numbers: [23]
23,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 49:[30, 45], Operations: ['13+36=49', '49-4=45']
Exploring Operation: 30*45=1350, Resulting Numbers: [1350]
1350,49 unequal: No Solution
Exploring Operation: 30+45=75, Resulting Numbers: [75]
75,49 unequal: No Solution
Exploring Operation: 45-30=15, Resulting Numbers: [15]
15,49 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: 49:[36, 4, 43], Operations: ['30+13=43']
Exploring Operation: 4+43=47, Resulting Numbers: [36, 47]
Generated Node #0,3,0: 49:[36, 47] Operation: 4+43=47
Exploring Operation: 43-36=7, Resulting Numbers: [4, 7]
Generated Node #0,3,1: 49:[4, 7] Operation: 43-36=7
Exploring Operation: 36/4=9, Resulting Numbers: [43, 9]
Generated Node #0,3,2: 49:[43, 9] Operation: 36/4=9
Exploring Operation: 36+4=40, Resulting Numbers: [43, 40]
Generated Node #0,3,3: 49:[43, 40] Operation: 36+4=40
Exploring Operation: 36-4=32, Resulting Numbers: [43, 32]
Generated Node #0,3,4: 49:[43, 32] Operation: 36-4=32
Moving to Node #0,0
Current State: 49:[13, 4, 66], Operations: ['30+36=66']
Exploring Operation: 13-4=9, Resulting Numbers: [66, 9]
Generated Node #0,0,0: 49:[66, 9] Operation: 13-4=9
Exploring Operation: 13+4=17, Resulting Numbers: [66, 17]
Generated Node #0,0,1: 49:[66, 17] Operation: 13+4=17
Exploring Operation: 13*4=52, Resulting Numbers: [66, 52]
Generated Node #0,0,2: 49:[66, 52] Operation: 13*4=52
Exploring Operation: 66-4=62, Resulting Numbers: [13, 62]
Generated Node #0,0,3: 49:[13, 62] Operation: 66-4=62
Exploring Operation: 66-13=53, Resulting Numbers: [4, 53]
Generated Node #0,0,4: 49:[4, 53] Operation: 66-13=53
Moving to Node #0,1
Current State: 49:[36, 4, 17], Operations: ['30-13=17']
Exploring Operation: 36+4=40, Resulting Numbers: [17, 40]
Generated Node #0,1,0: 49:[17, 40] Operation: 36+4=40
Exploring Operation: 36-17=19, Resulting Numbers: [4, 19]
Generated Node #0,1,1: 49:[4, 19] Operation: 36-17=19
Exploring Operation: 17-4=13, Resulting Numbers: [36, 13]
Generated Node #0,1,2: 49:[36, 13] Operation: 17-4=13
Exploring Operation: 36+17=53, Resulting Numbers: [4, 53]
Generated Node #0,1,3: 49:[4, 53] Operation: 36+17=53
Exploring Operation: 36/4=9, Resulting Numbers: [17, 9]
Generated Node #0,1,4: 49:[17, 9] Operation: 36/4=9
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 49:[4, 53], Operations: ['30-13=17', '36+17=53']
Exploring Operation: 4+53=57, Resulting Numbers: [57]
57,49 unequal: No Solution
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[30, 13, 36, 4], Operations: []
Exploring Operation: 30-13=17, Resulting Numbers: [36, 4, 17]
Generated Node #0,1: 49:[36, 4, 17] Operation: 30-13=17
Moving to Node #0,1
Current State: 49:[36, 4, 17], Operations: ['30-13=17']
Exploring Operation: 36+17=53, Resulting Numbers: [4, 53]
Generated Node #0,1,3: 49:[4, 53] Operation: 36+17=53
Moving to Node #0,1,3
Current State: 49:[4, 53], Operations: ['30-13=17', '36+17=53']
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.942708 | hs_5 | sum_heuristic |
[
96,
2,
10,
50
] | 24 | [
"10+50=60",
"2*60=120",
"120-96=24"
] | Current State: 24:[96, 2, 10, 50], Operations: []
Exploring Operation: 10+50=60, Resulting Numbers: [96, 2, 60]
Generated Node #2: [96, 2, 60] from Operation: 10+50=60
Current State: 24:[96, 2, 60], Operations: ['10+50=60']
Exploring Operation: 2*60=120, Resulting Numbers: [96, 120]
Generated Node #3: [96, 120] from Operation: 2*60=120
Current State: 24:[96, 120], Operations: ['10+50=60', '2*60=120']
Exploring Operation: 120-96=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[96, 2, 10, 50], Operations: []
Exploring Operation: 96/2=48, Resulting Numbers: [10, 50, 48]
Generated Node #0,0: 24:[10, 50, 48] Operation: 96/2=48
Exploring Operation: 96-50=46, Resulting Numbers: [2, 10, 46]
Generated Node #0,1: 24:[2, 10, 46] Operation: 96-50=46
Start Sub Search at level 1: Moving to Node #0,1
Current State: 24:[2, 10, 46], Operations: ['96-50=46']
Exploring Operation: 46/2=23, Resulting Numbers: [10, 23]
Generated Node #0,1,0: 24:[10, 23] Operation: 46/2=23
Exploring Operation: 46-10=36, Resulting Numbers: [2, 36]
Generated Node #0,1,1: 24:[2, 36] Operation: 46-10=36
Moving to Node #0,1,0
Current State: 24:[10, 23], Operations: ['96-50=46', '46/2=23']
Exploring Operation: 10+23=33, Resulting Numbers: [33]
33,24 unequal: No Solution
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,24 unequal: No Solution
Moving to Node #0,1,1
Current State: 24:[2, 36], Operations: ['96-50=46', '46-10=36']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,24 unequal: No Solution
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,24 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 #0,0
Current State: 24:[10, 50, 48], Operations: ['96/2=48']
Exploring Operation: 50/10=5, Resulting Numbers: [48, 5]
Generated Node #0,0,0: 24:[48, 5] Operation: 50/10=5
Exploring Operation: 50-48=2, Resulting Numbers: [10, 2]
Generated Node #0,0,1: 24:[10, 2] Operation: 50-48=2
Moving to Node #0,0,1
Current State: 24:[10, 2], Operations: ['96/2=48', '50-48=2']
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,24 unequal: No Solution
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,24 unequal: No Solution
Moving to Node #0,0,0
Current State: 24:[48, 5], Operations: ['96/2=48', '50/10=5']
Exploring Operation: 48-5=43, Resulting Numbers: [43]
43,24 unequal: No Solution
Exploring Operation: 48+5=53, Resulting Numbers: [53]
53,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
50,
28,
1,
5
] | 37 | [
"50/5=10",
"28-1=27",
"10+27=37"
] | Current State: 37:[50, 28, 1, 5], Operations: []
Exploring Operation: 50/5=10, Resulting Numbers: [28, 1, 10]
Generated Node #2: [28, 1, 10] from Operation: 50/5=10
Current State: 37:[28, 1, 10], Operations: ['50/5=10']
Exploring Operation: 28-1=27, Resulting Numbers: [10, 27]
Generated Node #3: [10, 27] from Operation: 28-1=27
Current State: 37:[10, 27], Operations: ['50/5=10', '28-1=27']
Exploring Operation: 10+27=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[50, 28, 1, 5], Operations: []
Exploring Operation: 50-1=49, Resulting Numbers: [28, 5, 49]
Generated Node #0,0: 37:[28, 5, 49] Operation: 50-1=49
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[28, 5, 49], Operations: ['50-1=49']
Exploring Operation: 28+5=33, Resulting Numbers: [49, 33]
Generated Node #0,0,0: 37:[49, 33] Operation: 28+5=33
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 37:[49, 33], Operations: ['50-1=49', '28+5=33']
Exploring Operation: 49-33=16, Resulting Numbers: [16]
16,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
72,
41,
77,
6
] | 71 | [
"77-72=5",
"6*5=30",
"41+30=71"
] | Current State: 71:[72, 41, 77, 6], Operations: []
Exploring Operation: 77-72=5, Resulting Numbers: [41, 6, 5]
Generated Node #2: [41, 6, 5] from Operation: 77-72=5
Current State: 71:[41, 6, 5], Operations: ['77-72=5']
Exploring Operation: 6*5=30, Resulting Numbers: [41, 30]
Generated Node #3: [41, 30] from Operation: 6*5=30
Current State: 71:[41, 30], Operations: ['77-72=5', '6*5=30']
Exploring Operation: 41+30=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[72, 41, 77, 6], Operations: []
Exploring Operation: 77-6=71, Resulting Numbers: [72, 41, 71]
Generated Node #0,0: 71:[72, 41, 71] Operation: 77-6=71
Exploring Operation: 41+6=47, Resulting Numbers: [72, 77, 47]
Generated Node #0,1: 71:[72, 77, 47] Operation: 41+6=47
Exploring Operation: 72-6=66, Resulting Numbers: [41, 77, 66]
Generated Node #0,2: 71:[41, 77, 66] Operation: 72-6=66
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[72, 41, 71], Operations: ['77-6=71']
Exploring Operation: 72+41=113, Resulting Numbers: [71, 113]
Generated Node #0,0,0: 71:[71, 113] Operation: 72+41=113
Exploring Operation: 41+71=112, Resulting Numbers: [72, 112]
Generated Node #0,0,1: 71:[72, 112] Operation: 41+71=112
Exploring Operation: 72-41=31, Resulting Numbers: [71, 31]
Generated Node #0,0,2: 71:[71, 31] Operation: 72-41=31
Moving to Node #0,0,2
Current State: 71:[71, 31], Operations: ['77-6=71', '72-41=31']
Exploring Operation: 71-31=40, Resulting Numbers: [40]
40,71 unequal: No Solution
Exploring Operation: 71*31=2201, Resulting Numbers: [2201]
2201,71 unequal: No Solution
Exploring Operation: 71+31=102, Resulting Numbers: [102]
102,71 unequal: No Solution
Moving to Node #0,0,0
Current State: 71:[71, 113], Operations: ['77-6=71', '72+41=113']
Exploring Operation: 71*113=8023, Resulting Numbers: [8023]
8023,71 unequal: No Solution
Exploring Operation: 113-71=42, Resulting Numbers: [42]
42,71 unequal: No Solution
Exploring Operation: 71+113=184, Resulting Numbers: [184]
184,71 unequal: No Solution
Moving to Node #0,0,1
Current State: 71:[72, 112], Operations: ['77-6=71', '41+71=112']
Exploring Operation: 112-72=40, Resulting Numbers: [40]
40,71 unequal: No Solution
Exploring Operation: 72+112=184, Resulting Numbers: [184]
184,71 unequal: No Solution
Exploring Operation: 72*112=8064, Resulting Numbers: [8064]
8064,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 71:[72, 77, 47], Operations: ['41+6=47']
Exploring Operation: 77-47=30, Resulting Numbers: [72, 30]
Generated Node #0,1,0: 71:[72, 30] Operation: 77-47=30
Exploring Operation: 72-47=25, Resulting Numbers: [77, 25]
Generated Node #0,1,1: 71:[77, 25] Operation: 72-47=25
Exploring Operation: 72+47=119, Resulting Numbers: [77, 119]
Generated Node #0,1,2: 71:[77, 119] Operation: 72+47=119
Moving to Node #0,1,0
Current State: 71:[72, 30], Operations: ['41+6=47', '77-47=30']
Exploring Operation: 72*30=2160, Resulting Numbers: [2160]
2160,71 unequal: No Solution
Exploring Operation: 72-30=42, Resulting Numbers: [42]
42,71 unequal: No Solution
Exploring Operation: 72+30=102, Resulting Numbers: [102]
102,71 unequal: No Solution
Moving to Node #0,1,1
Current State: 71:[77, 25], Operations: ['41+6=47', '72-47=25']
Exploring Operation: 77*25=1925, Resulting Numbers: [1925]
1925,71 unequal: No Solution
Exploring Operation: 77+25=102, Resulting Numbers: [102]
102,71 unequal: No Solution
Exploring Operation: 77-25=52, Resulting Numbers: [52]
52,71 unequal: No Solution
Moving to Node #0,1,2
Current State: 71:[77, 119], Operations: ['41+6=47', '72+47=119']
Exploring Operation: 77*119=9163, Resulting Numbers: [9163]
9163,71 unequal: No Solution
Exploring Operation: 119-77=42, Resulting Numbers: [42]
42,71 unequal: No Solution
Exploring Operation: 77+119=196, Resulting Numbers: [196]
196,71 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 #0,2
Current State: 71:[41, 77, 66], Operations: ['72-6=66']
Exploring Operation: 77-41=36, Resulting Numbers: [66, 36]
Generated Node #0,2,0: 71:[66, 36] Operation: 77-41=36
Exploring Operation: 41+66=107, Resulting Numbers: [77, 107]
Generated Node #0,2,1: 71:[77, 107] Operation: 41+66=107
Exploring Operation: 41+77=118, Resulting Numbers: [66, 118]
Generated Node #0,2,2: 71:[66, 118] Operation: 41+77=118
Moving to Node #0,2,0
Current State: 71:[66, 36], Operations: ['72-6=66', '77-41=36']
Exploring Operation: 66*36=2376, Resulting Numbers: [2376]
2376,71 unequal: No Solution
Exploring Operation: 66+36=102, Resulting Numbers: [102]
102,71 unequal: No Solution
Exploring Operation: 66-36=30, Resulting Numbers: [30]
30,71 unequal: No Solution
Moving to Node #0,2,1
Current State: 71:[77, 107], Operations: ['72-6=66', '41+66=107']
Exploring Operation: 77*107=8239, Resulting Numbers: [8239]
8239,71 unequal: No Solution
Exploring Operation: 107-77=30, Resulting Numbers: [30]
30,71 unequal: No Solution
Exploring Operation: 77+107=184, Resulting Numbers: [184]
184,71 unequal: No Solution
Moving to Node #0,2,2
Current State: 71:[66, 118], Operations: ['72-6=66', '41+77=118']
Exploring Operation: 66*118=7788, Resulting Numbers: [7788]
7788,71 unequal: No Solution
Exploring Operation: 118-66=52, Resulting Numbers: [52]
52,71 unequal: No Solution
Exploring Operation: 66+118=184, Resulting Numbers: [184]
184,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
69,
30,
66,
76
] | 34 | [
"30*76=2280",
"66+2280=2346",
"2346/69=34"
] | Current State: 34:[69, 30, 66, 76], Operations: []
Exploring Operation: 30*76=2280, Resulting Numbers: [69, 66, 2280]
Generated Node #2: [69, 66, 2280] from Operation: 30*76=2280
Current State: 34:[69, 66, 2280], Operations: ['30*76=2280']
Exploring Operation: 66+2280=2346, Resulting Numbers: [69, 2346]
Generated Node #3: [69, 2346] from Operation: 66+2280=2346
Current State: 34:[69, 2346], Operations: ['30*76=2280', '66+2280=2346']
Exploring Operation: 2346/69=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[69, 30, 66, 76], Operations: []
Exploring Operation: 76-69=7, Resulting Numbers: [30, 66, 7]
Generated Node #0,0: 34:[30, 66, 7] Operation: 76-69=7
Exploring Operation: 76-66=10, Resulting Numbers: [69, 30, 10]
Generated Node #0,1: 34:[69, 30, 10] Operation: 76-66=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 34:[30, 66, 7], Operations: ['76-69=7']
Exploring Operation: 66-30=36, Resulting Numbers: [7, 36]
Generated Node #0,0,0: 34:[7, 36] Operation: 66-30=36
Exploring Operation: 66-7=59, Resulting Numbers: [30, 59]
Generated Node #0,0,1: 34:[30, 59] Operation: 66-7=59
Moving to Node #0,0,0
Current State: 34:[7, 36], Operations: ['76-69=7', '66-30=36']
Exploring Operation: 7+36=43, Resulting Numbers: [43]
43,34 unequal: No Solution
Exploring Operation: 36-7=29, Resulting Numbers: [29]
29,34 unequal: No Solution
Moving to Node #0,0,1
Current State: 34:[30, 59], Operations: ['76-69=7', '66-7=59']
Exploring Operation: 59-30=29, Resulting Numbers: [29]
29,34 unequal: No Solution
Exploring Operation: 30+59=89, Resulting Numbers: [89]
89,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 34:[69, 30, 10], Operations: ['76-66=10']
Exploring Operation: 69-30=39, Resulting Numbers: [10, 39]
Generated Node #0,1,0: 34:[10, 39] Operation: 69-30=39
Exploring Operation: 69-10=59, Resulting Numbers: [30, 59]
Generated Node #0,1,1: 34:[30, 59] Operation: 69-10=59
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 34:[10, 39], Operations: ['76-66=10', '69-30=39']
Exploring Operation: 39-10=29, Resulting Numbers: [29]
29,34 unequal: No Solution
Exploring Operation: 10+39=49, Resulting Numbers: [49]
49,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 34:[30, 59], Operations: ['76-66=10', '69-10=59']
Exploring Operation: 59-30=29, Resulting Numbers: [29]
29,34 unequal: No Solution
Exploring Operation: 30+59=89, Resulting Numbers: [89]
89,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
44,
14,
43,
84
] | 93 | [
"44+43=87",
"84/14=6",
"87+6=93"
] | Current State: 93:[44, 14, 43, 84], Operations: []
Exploring Operation: 44+43=87, Resulting Numbers: [14, 84, 87]
Generated Node #2: [14, 84, 87] from Operation: 44+43=87
Current State: 93:[14, 84, 87], Operations: ['44+43=87']
Exploring Operation: 84/14=6, Resulting Numbers: [87, 6]
Generated Node #3: [87, 6] from Operation: 84/14=6
Current State: 93:[87, 6], Operations: ['44+43=87', '84/14=6']
Exploring Operation: 87+6=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[44, 14, 43, 84], Operations: []
Exploring Operation: 44+43=87, Resulting Numbers: [14, 84, 87]
Generated Node #0,0: 93:[14, 84, 87] Operation: 44+43=87
Exploring Operation: 84/14=6, Resulting Numbers: [44, 43, 6]
Generated Node #0,1: 93:[44, 43, 6] Operation: 84/14=6
Exploring Operation: 44-14=30, Resulting Numbers: [43, 84, 30]
Generated Node #0,2: 93:[43, 84, 30] Operation: 44-14=30
Exploring Operation: 44-43=1, Resulting Numbers: [14, 84, 1]
Generated Node #0,3: 93:[14, 84, 1] Operation: 44-43=1
Exploring Operation: 43-14=29, Resulting Numbers: [44, 84, 29]
Generated Node #0,4: 93:[44, 84, 29] Operation: 43-14=29
Start Sub Search at level 1: Moving to Node #0,2
Current State: 93:[43, 84, 30], Operations: ['44-14=30']
Exploring Operation: 43+30=73, Resulting Numbers: [84, 73]
Generated Node #0,2,0: 93:[84, 73] Operation: 43+30=73
Exploring Operation: 43+84=127, Resulting Numbers: [30, 127]
Generated Node #0,2,1: 93:[30, 127] Operation: 43+84=127
Exploring Operation: 43-30=13, Resulting Numbers: [84, 13]
Generated Node #0,2,2: 93:[84, 13] Operation: 43-30=13
Exploring Operation: 84-43=41, Resulting Numbers: [30, 41]
Generated Node #0,2,3: 93:[30, 41] Operation: 84-43=41
Exploring Operation: 84+30=114, Resulting Numbers: [43, 114]
Generated Node #0,2,4: 93:[43, 114] Operation: 84+30=114
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 93:[30, 41], Operations: ['44-14=30', '84-43=41']
Exploring Operation: 30*41=1230, Resulting Numbers: [1230]
1230,93 unequal: No Solution
Exploring Operation: 41-30=11, Resulting Numbers: [11]
11,93 unequal: No Solution
Exploring Operation: 30+41=71, Resulting Numbers: [71]
71,93 unequal: No Solution
No 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: 93:[84, 13], Operations: ['44-14=30', '43-30=13']
Exploring Operation: 84-13=71, Resulting Numbers: [71]
71,93 unequal: No Solution
Exploring Operation: 84*13=1092, Resulting Numbers: [1092]
1092,93 unequal: No Solution
Exploring Operation: 84+13=97, Resulting Numbers: [97]
97,93 unequal: No Solution
No 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: 93:[84, 73], Operations: ['44-14=30', '43+30=73']
Exploring Operation: 84+73=157, Resulting Numbers: [157]
157,93 unequal: No Solution
Exploring Operation: 84*73=6132, Resulting Numbers: [6132]
6132,93 unequal: No Solution
Exploring Operation: 84-73=11, Resulting Numbers: [11]
11,93 unequal: No Solution
No 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: 93:[43, 114], Operations: ['44-14=30', '84+30=114']
Exploring Operation: 43+114=157, Resulting Numbers: [157]
157,93 unequal: No Solution
Exploring Operation: 43*114=4902, Resulting Numbers: [4902]
4902,93 unequal: No Solution
Exploring Operation: 114-43=71, Resulting Numbers: [71]
71,93 unequal: No Solution
No 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: 93:[30, 127], Operations: ['44-14=30', '43+84=127']
Exploring Operation: 30*127=3810, Resulting Numbers: [3810]
3810,93 unequal: No Solution
Exploring Operation: 127-30=97, Resulting Numbers: [97]
97,93 unequal: No Solution
Exploring Operation: 30+127=157, Resulting Numbers: [157]
157,93 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: 93:[14, 84, 1], Operations: ['44-43=1']
Exploring Operation: 14*1=14, Resulting Numbers: [84, 14]
Generated Node #0,3,0: 93:[84, 14] Operation: 14*1=14
Exploring Operation: 84/14=6, Resulting Numbers: [1, 6]
Generated Node #0,3,1: 93:[1, 6] Operation: 84/14=6
Exploring Operation: 14-1=13, Resulting Numbers: [84, 13]
Generated Node #0,3,2: 93:[84, 13] Operation: 14-1=13
Exploring Operation: 14+84=98, Resulting Numbers: [1, 98]
Generated Node #0,3,3: 93:[1, 98] Operation: 14+84=98
Exploring Operation: 84+1=85, Resulting Numbers: [14, 85]
Generated Node #0,3,4: 93:[14, 85] Operation: 84+1=85
Moving to Node #0,3,1
Current State: 93:[1, 6], Operations: ['44-43=1', '84/14=6']
Exploring Operation: 6-1=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Exploring Operation: 6/1=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Exploring Operation: 1*6=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Exploring Operation: 1+6=7, Resulting Numbers: [7]
7,93 unequal: No Solution
Moving to Node #0,3,3
Current State: 93:[1, 98], Operations: ['44-43=1', '14+84=98']
Exploring Operation: 1+98=99, Resulting Numbers: [99]
99,93 unequal: No Solution
Exploring Operation: 1*98=98, Resulting Numbers: [98]
98,93 unequal: No Solution
Exploring Operation: 98-1=97, Resulting Numbers: [97]
97,93 unequal: No Solution
Exploring Operation: 98/1=98, Resulting Numbers: [98]
98,93 unequal: No Solution
Moving to Node #0,3,2
Current State: 93:[84, 13], Operations: ['44-43=1', '14-1=13']
Exploring Operation: 84*13=1092, Resulting Numbers: [1092]
1092,93 unequal: No Solution
Exploring Operation: 84+13=97, Resulting Numbers: [97]
97,93 unequal: No Solution
Exploring Operation: 84-13=71, Resulting Numbers: [71]
71,93 unequal: No Solution
Moving to Node #0,3,4
Current State: 93:[14, 85], Operations: ['44-43=1', '84+1=85']
Exploring Operation: 14+85=99, Resulting Numbers: [99]
99,93 unequal: No Solution
Exploring Operation: 14*85=1190, Resulting Numbers: [1190]
1190,93 unequal: No Solution
Exploring Operation: 85-14=71, Resulting Numbers: [71]
71,93 unequal: No Solution
Moving to Node #0,3,0
Current State: 93:[84, 14], Operations: ['44-43=1', '14*1=14']
Exploring Operation: 84/14=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Exploring Operation: 84-14=70, Resulting Numbers: [70]
70,93 unequal: No Solution
Exploring Operation: 84+14=98, Resulting Numbers: [98]
98,93 unequal: No Solution
Exploring Operation: 84*14=1176, Resulting Numbers: [1176]
1176,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 93:[44, 84, 29], Operations: ['43-14=29']
Exploring Operation: 84-44=40, Resulting Numbers: [29, 40]
Generated Node #0,4,0: 93:[29, 40] Operation: 84-44=40
Exploring Operation: 44-29=15, Resulting Numbers: [84, 15]
Generated Node #0,4,1: 93:[84, 15] Operation: 44-29=15
Exploring Operation: 84+29=113, Resulting Numbers: [44, 113]
Generated Node #0,4,2: 93:[44, 113] Operation: 84+29=113
Exploring Operation: 44+29=73, Resulting Numbers: [84, 73]
Generated Node #0,4,3: 93:[84, 73] Operation: 44+29=73
Exploring Operation: 44+84=128, Resulting Numbers: [29, 128]
Generated Node #0,4,4: 93:[29, 128] Operation: 44+84=128
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 93:[29, 40], Operations: ['43-14=29', '84-44=40']
Exploring Operation: 40-29=11, Resulting Numbers: [11]
11,93 unequal: No Solution
Exploring Operation: 29*40=1160, Resulting Numbers: [1160]
1160,93 unequal: No Solution
Exploring Operation: 29+40=69, Resulting Numbers: [69]
69,93 unequal: No Solution
No 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: 93:[84, 15], Operations: ['43-14=29', '44-29=15']
Exploring Operation: 84+15=99, Resulting Numbers: [99]
99,93 unequal: No Solution
Exploring Operation: 84*15=1260, Resulting Numbers: [1260]
1260,93 unequal: No Solution
Exploring Operation: 84-15=69, Resulting Numbers: [69]
69,93 unequal: No Solution
No 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: 93:[84, 73], Operations: ['43-14=29', '44+29=73']
Exploring Operation: 84+73=157, Resulting Numbers: [157]
157,93 unequal: No Solution
Exploring Operation: 84*73=6132, Resulting Numbers: [6132]
6132,93 unequal: No Solution
Exploring Operation: 84-73=11, Resulting Numbers: [11]
11,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 93:[44, 113], Operations: ['43-14=29', '84+29=113']
Exploring Operation: 44*113=4972, Resulting Numbers: [4972]
4972,93 unequal: No Solution
Exploring Operation: 113-44=69, Resulting Numbers: [69]
69,93 unequal: No Solution
Exploring Operation: 44+113=157, Resulting Numbers: [157]
157,93 unequal: No Solution
No 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: 93:[29, 128], Operations: ['43-14=29', '44+84=128']
Exploring Operation: 128-29=99, Resulting Numbers: [99]
99,93 unequal: No Solution
Exploring Operation: 29+128=157, Resulting Numbers: [157]
157,93 unequal: No Solution
Exploring Operation: 29*128=3712, Resulting Numbers: [3712]
3712,93 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: 93:[14, 84, 87], Operations: ['44+43=87']
Exploring Operation: 87-84=3, Resulting Numbers: [14, 3]
Generated Node #0,0,0: 93:[14, 3] Operation: 87-84=3
Exploring Operation: 14+87=101, Resulting Numbers: [84, 101]
Generated Node #0,0,1: 93:[84, 101] Operation: 14+87=101
Exploring Operation: 14+84=98, Resulting Numbers: [87, 98]
Generated Node #0,0,2: 93:[87, 98] Operation: 14+84=98
Exploring Operation: 84/14=6, Resulting Numbers: [87, 6]
Generated Node #0,0,3: 93:[87, 6] Operation: 84/14=6
Exploring Operation: 84-14=70, Resulting Numbers: [87, 70]
Generated Node #0,0,4: 93:[87, 70] Operation: 84-14=70
Moving to Node #0,0,3
Current State: 93:[87, 6], Operations: ['44+43=87', '84/14=6']
Exploring Operation: 87-6=81, Resulting Numbers: [81]
81,93 unequal: No Solution
Exploring Operation: 87+6=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[44, 14, 43, 84], Operations: []
Exploring Operation: 44+43=87, Resulting Numbers: [14, 84, 87]
Generated Node #0,0: 93:[14, 84, 87] Operation: 44+43=87
Moving to Node #0,0
Current State: 93:[14, 84, 87], Operations: ['44+43=87']
Exploring Operation: 84/14=6, Resulting Numbers: [87, 6]
Generated Node #0,0,3: 93:[87, 6] Operation: 84/14=6
Moving to Node #0,0,3
Current State: 93:[87, 6], Operations: ['44+43=87', '84/14=6']
Exploring Operation: 87+6=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.931424 | hs_5 | sum_heuristic |
[
46,
98,
9,
39
] | 82 | [
"98-46=52",
"39-9=30",
"52+30=82"
] | Current State: 82:[46, 98, 9, 39], Operations: []
Exploring Operation: 98-46=52, Resulting Numbers: [9, 39, 52]
Generated Node #2: [9, 39, 52] from Operation: 98-46=52
Current State: 82:[9, 39, 52], Operations: ['98-46=52']
Exploring Operation: 39-9=30, Resulting Numbers: [52, 30]
Generated Node #3: [52, 30] from Operation: 39-9=30
Current State: 82:[52, 30], Operations: ['98-46=52', '39-9=30']
Exploring Operation: 52+30=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[46, 98, 9, 39], Operations: []
Exploring Operation: 98-9=89, Resulting Numbers: [46, 39, 89]
Generated Node #0,0: 82:[46, 39, 89] Operation: 98-9=89
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[46, 39, 89], Operations: ['98-9=89']
Exploring Operation: 89-46=43, Resulting Numbers: [39, 43]
Generated Node #0,0,0: 82:[39, 43] Operation: 89-46=43
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 82:[39, 43], Operations: ['98-9=89', '89-46=43']
Exploring Operation: 39+43=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[46, 98, 9, 39], Operations: []
Exploring Operation: 98-9=89, Resulting Numbers: [46, 39, 89]
Generated Node #0,0: 82:[46, 39, 89] Operation: 98-9=89
Moving to Node #0,0
Current State: 82:[46, 39, 89], Operations: ['98-9=89']
Exploring Operation: 89-46=43, Resulting Numbers: [39, 43]
Generated Node #0,0,0: 82:[39, 43] Operation: 89-46=43
Moving to Node #0,0,0
Current State: 82:[39, 43], Operations: ['98-9=89', '89-46=43']
Exploring Operation: 39+43=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
91,
82,
29,
7
] | 34 | [
"91-82=9",
"7*9=63",
"63-29=34"
] | Current State: 34:[91, 82, 29, 7], Operations: []
Exploring Operation: 91-82=9, Resulting Numbers: [29, 7, 9]
Generated Node #2: [29, 7, 9] from Operation: 91-82=9
Current State: 34:[29, 7, 9], Operations: ['91-82=9']
Exploring Operation: 7*9=63, Resulting Numbers: [29, 63]
Generated Node #3: [29, 63] from Operation: 7*9=63
Current State: 34:[29, 63], Operations: ['91-82=9', '7*9=63']
Exploring Operation: 63-29=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[91, 82, 29, 7], Operations: []
Exploring Operation: 91/7=13, Resulting Numbers: [82, 29, 13]
Generated Node #0,0: 34:[82, 29, 13] Operation: 91/7=13
Exploring Operation: 91-82=9, Resulting Numbers: [29, 7, 9]
Generated Node #0,1: 34:[29, 7, 9] Operation: 91-82=9
Exploring Operation: 82-29=53, Resulting Numbers: [91, 7, 53]
Generated Node #0,2: 34:[91, 7, 53] Operation: 82-29=53
Exploring Operation: 91-29=62, Resulting Numbers: [82, 7, 62]
Generated Node #0,3: 34:[82, 7, 62] Operation: 91-29=62
Start Sub Search at level 1: Moving to Node #0,1
Current State: 34:[29, 7, 9], Operations: ['91-82=9']
Exploring Operation: 7+9=16, Resulting Numbers: [29, 16]
Generated Node #0,1,0: 34:[29, 16] Operation: 7+9=16
Exploring Operation: 9-7=2, Resulting Numbers: [29, 2]
Generated Node #0,1,1: 34:[29, 2] Operation: 9-7=2
Exploring Operation: 29+7=36, Resulting Numbers: [9, 36]
Generated Node #0,1,2: 34:[9, 36] Operation: 29+7=36
Exploring Operation: 29-9=20, Resulting Numbers: [7, 20]
Generated Node #0,1,3: 34:[7, 20] Operation: 29-9=20
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 34:[29, 2], Operations: ['91-82=9', '9-7=2']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,34 unequal: No Solution
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,34 unequal: No Solution
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 34:[29, 16], Operations: ['91-82=9', '7+9=16']
Exploring Operation: 29*16=464, Resulting Numbers: [464]
464,34 unequal: No Solution
Exploring Operation: 29+16=45, Resulting Numbers: [45]
45,34 unequal: No Solution
Exploring Operation: 29-16=13, Resulting Numbers: [13]
13,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 34:[7, 20], Operations: ['91-82=9', '29-9=20']
Exploring Operation: 7*20=140, Resulting Numbers: [140]
140,34 unequal: No Solution
Exploring Operation: 7+20=27, Resulting Numbers: [27]
27,34 unequal: No Solution
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 34:[9, 36], Operations: ['91-82=9', '29+7=36']
Exploring Operation: 36-9=27, Resulting Numbers: [27]
27,34 unequal: No Solution
Exploring Operation: 9*36=324, Resulting Numbers: [324]
324,34 unequal: No Solution
Exploring Operation: 36/9=4, Resulting Numbers: [4]
4,34 unequal: No Solution
Exploring Operation: 9+36=45, Resulting Numbers: [45]
45,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 34:[82, 29, 13], Operations: ['91/7=13']
Exploring Operation: 29+13=42, Resulting Numbers: [82, 42]
Generated Node #0,0,0: 34:[82, 42] Operation: 29+13=42
Exploring Operation: 82-29=53, Resulting Numbers: [13, 53]
Generated Node #0,0,1: 34:[13, 53] Operation: 82-29=53
Exploring Operation: 29-13=16, Resulting Numbers: [82, 16]
Generated Node #0,0,2: 34:[82, 16] Operation: 29-13=16
Exploring Operation: 82-13=69, Resulting Numbers: [29, 69]
Generated Node #0,0,3: 34:[29, 69] Operation: 82-13=69
Moving to Node #0,0,1
Current State: 34:[13, 53], Operations: ['91/7=13', '82-29=53']
Exploring Operation: 13*53=689, Resulting Numbers: [689]
689,34 unequal: No Solution
Exploring Operation: 13+53=66, Resulting Numbers: [66]
66,34 unequal: No Solution
Exploring Operation: 53-13=40, Resulting Numbers: [40]
40,34 unequal: No Solution
Moving to Node #0,0,3
Current State: 34:[29, 69], Operations: ['91/7=13', '82-13=69']
Exploring Operation: 29*69=2001, Resulting Numbers: [2001]
2001,34 unequal: No Solution
Exploring Operation: 29+69=98, Resulting Numbers: [98]
98,34 unequal: No Solution
Exploring Operation: 69-29=40, Resulting Numbers: [40]
40,34 unequal: No Solution
Moving to Node #0,0,2
Current State: 34:[82, 16], Operations: ['91/7=13', '29-13=16']
Exploring Operation: 82*16=1312, Resulting Numbers: [1312]
1312,34 unequal: No Solution
Exploring Operation: 82-16=66, Resulting Numbers: [66]
66,34 unequal: No Solution
Exploring Operation: 82+16=98, Resulting Numbers: [98]
98,34 unequal: No Solution
Moving to Node #0,0,0
Current State: 34:[82, 42], Operations: ['91/7=13', '29+13=42']
Exploring Operation: 82-42=40, Resulting Numbers: [40]
40,34 unequal: No Solution
Exploring Operation: 82+42=124, Resulting Numbers: [124]
124,34 unequal: No Solution
Exploring Operation: 82*42=3444, Resulting Numbers: [3444]
3444,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 34:[91, 7, 53], Operations: ['82-29=53']
Exploring Operation: 91/7=13, Resulting Numbers: [53, 13]
Generated Node #0,2,0: 34:[53, 13] Operation: 91/7=13
Exploring Operation: 53-7=46, Resulting Numbers: [91, 46]
Generated Node #0,2,1: 34:[91, 46] Operation: 53-7=46
Exploring Operation: 91-7=84, Resulting Numbers: [53, 84]
Generated Node #0,2,2: 34:[53, 84] Operation: 91-7=84
Exploring Operation: 91-53=38, Resulting Numbers: [7, 38]
Generated Node #0,2,3: 34:[7, 38] Operation: 91-53=38
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 34:[7, 38], Operations: ['82-29=53', '91-53=38']
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,34 unequal: No Solution
Exploring Operation: 7+38=45, Resulting Numbers: [45]
45,34 unequal: No Solution
Exploring Operation: 7*38=266, Resulting Numbers: [266]
266,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 34:[53, 13], Operations: ['82-29=53', '91/7=13']
Exploring Operation: 53-13=40, Resulting Numbers: [40]
40,34 unequal: No Solution
Exploring Operation: 53*13=689, Resulting Numbers: [689]
689,34 unequal: No Solution
Exploring Operation: 53+13=66, Resulting Numbers: [66]
66,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 34:[91, 46], Operations: ['82-29=53', '53-7=46']
Exploring Operation: 91-46=45, Resulting Numbers: [45]
45,34 unequal: No Solution
Exploring Operation: 91*46=4186, Resulting Numbers: [4186]
4186,34 unequal: No Solution
Exploring Operation: 91+46=137, Resulting Numbers: [137]
137,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 34:[53, 84], Operations: ['82-29=53', '91-7=84']
Exploring Operation: 53*84=4452, Resulting Numbers: [4452]
4452,34 unequal: No Solution
Exploring Operation: 84-53=31, Resulting Numbers: [31]
31,34 unequal: No Solution
Exploring Operation: 53+84=137, Resulting Numbers: [137]
137,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 34:[82, 7, 62], Operations: ['91-29=62']
Exploring Operation: 62-7=55, Resulting Numbers: [82, 55]
Generated Node #0,3,0: 34:[82, 55] Operation: 62-7=55
Exploring Operation: 82-7=75, Resulting Numbers: [62, 75]
Generated Node #0,3,1: 34:[62, 75] Operation: 82-7=75
Exploring Operation: 82-62=20, Resulting Numbers: [7, 20]
Generated Node #0,3,2: 34:[7, 20] Operation: 82-62=20
Exploring Operation: 82+7=89, Resulting Numbers: [62, 89]
Generated Node #0,3,3: 34:[62, 89] Operation: 82+7=89
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 34:[7, 20], Operations: ['91-29=62', '82-62=20']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,34 unequal: No Solution
Exploring Operation: 7*20=140, Resulting Numbers: [140]
140,34 unequal: No Solution
Exploring Operation: 7+20=27, Resulting Numbers: [27]
27,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 34:[82, 55], Operations: ['91-29=62', '62-7=55']
Exploring Operation: 82+55=137, Resulting Numbers: [137]
137,34 unequal: No Solution
Exploring Operation: 82-55=27, Resulting Numbers: [27]
27,34 unequal: No Solution
Exploring Operation: 82*55=4510, Resulting Numbers: [4510]
4510,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 34:[62, 75], Operations: ['91-29=62', '82-7=75']
Exploring Operation: 62*75=4650, Resulting Numbers: [4650]
4650,34 unequal: No Solution
Exploring Operation: 62+75=137, Resulting Numbers: [137]
137,34 unequal: No Solution
Exploring Operation: 75-62=13, Resulting Numbers: [13]
13,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 34:[62, 89], Operations: ['91-29=62', '82+7=89']
Exploring Operation: 89-62=27, Resulting Numbers: [27]
27,34 unequal: No Solution
Exploring Operation: 62+89=151, Resulting Numbers: [151]
151,34 unequal: No Solution
Exploring Operation: 62*89=5518, Resulting Numbers: [5518]
5518,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
73,
18,
14,
86
] | 52 | [
"73*14=1022",
"1022-86=936",
"936/18=52"
] | Current State: 52:[73, 18, 14, 86], Operations: []
Exploring Operation: 73*14=1022, Resulting Numbers: [18, 86, 1022]
Generated Node #2: [18, 86, 1022] from Operation: 73*14=1022
Current State: 52:[18, 86, 1022], Operations: ['73*14=1022']
Exploring Operation: 1022-86=936, Resulting Numbers: [18, 936]
Generated Node #3: [18, 936] from Operation: 1022-86=936
Current State: 52:[18, 936], Operations: ['73*14=1022', '1022-86=936']
Exploring Operation: 936/18=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[73, 18, 14, 86], Operations: []
Exploring Operation: 73-14=59, Resulting Numbers: [18, 86, 59]
Generated Node #0,0: 52:[18, 86, 59] Operation: 73-14=59
Exploring Operation: 86-73=13, Resulting Numbers: [18, 14, 13]
Generated Node #0,1: 52:[18, 14, 13] Operation: 86-73=13
Exploring Operation: 86-18=68, Resulting Numbers: [73, 14, 68]
Generated Node #0,2: 52:[73, 14, 68] Operation: 86-18=68
Exploring Operation: 86-14=72, Resulting Numbers: [73, 18, 72]
Generated Node #0,3: 52:[73, 18, 72] Operation: 86-14=72
Exploring Operation: 73-18=55, Resulting Numbers: [14, 86, 55]
Generated Node #0,4: 52:[14, 86, 55] Operation: 73-18=55
Moving to Node #0,1
Current State: 52:[18, 14, 13], Operations: ['86-73=13']
Exploring Operation: 18-14=4, Resulting Numbers: [13, 4]
Generated Node #0,1,0: 52:[13, 4] Operation: 18-14=4
Exploring Operation: 18-13=5, Resulting Numbers: [14, 5]
Generated Node #0,1,1: 52:[14, 5] Operation: 18-13=5
Exploring Operation: 18+13=31, Resulting Numbers: [14, 31]
Generated Node #0,1,2: 52:[14, 31] Operation: 18+13=31
Exploring Operation: 18+14=32, Resulting Numbers: [13, 32]
Generated Node #0,1,3: 52:[13, 32] Operation: 18+14=32
Exploring Operation: 14+13=27, Resulting Numbers: [18, 27]
Generated Node #0,1,4: 52:[18, 27] Operation: 14+13=27
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 52:[13, 4], Operations: ['86-73=13', '18-14=4']
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 13+4=17, Resulting Numbers: [17]
17,52 unequal: No Solution
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[73, 18, 14, 86], Operations: []
Exploring Operation: 86-73=13, Resulting Numbers: [18, 14, 13]
Generated Node #0,1: 52:[18, 14, 13] Operation: 86-73=13
Moving to Node #0,1
Current State: 52:[18, 14, 13], Operations: ['86-73=13']
Exploring Operation: 18-14=4, Resulting Numbers: [13, 4]
Generated Node #0,1,0: 52:[13, 4] Operation: 18-14=4
Moving to Node #0,1,0
Current State: 52:[13, 4], Operations: ['86-73=13', '18-14=4']
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
42,
81,
11,
33
] | 83 | [
"81-42=39",
"11+33=44",
"39+44=83"
] | Current State: 83:[42, 81, 11, 33], Operations: []
Exploring Operation: 81-42=39, Resulting Numbers: [11, 33, 39]
Generated Node #2: [11, 33, 39] from Operation: 81-42=39
Current State: 83:[11, 33, 39], Operations: ['81-42=39']
Exploring Operation: 11+33=44, Resulting Numbers: [39, 44]
Generated Node #3: [39, 44] from Operation: 11+33=44
Current State: 83:[39, 44], Operations: ['81-42=39', '11+33=44']
Exploring Operation: 39+44=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[42, 81, 11, 33], Operations: []
Exploring Operation: 42+11=53, Resulting Numbers: [81, 33, 53]
Generated Node #0,0: 83:[81, 33, 53] Operation: 42+11=53
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[81, 33, 53], Operations: ['42+11=53']
Exploring Operation: 33+53=86, Resulting Numbers: [81, 86]
Generated Node #0,0,0: 83:[81, 86] Operation: 33+53=86
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[81, 86], Operations: ['42+11=53', '33+53=86']
Exploring Operation: 86-81=5, Resulting Numbers: [5]
5,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
61,
73,
95,
65
] | 18 | [
"73-61=12",
"95-65=30",
"30-12=18"
] | Current State: 18:[61, 73, 95, 65], Operations: []
Exploring Operation: 73-61=12, Resulting Numbers: [95, 65, 12]
Generated Node #2: [95, 65, 12] from Operation: 73-61=12
Current State: 18:[95, 65, 12], Operations: ['73-61=12']
Exploring Operation: 95-65=30, Resulting Numbers: [12, 30]
Generated Node #3: [12, 30] from Operation: 95-65=30
Current State: 18:[12, 30], Operations: ['73-61=12', '95-65=30']
Exploring Operation: 30-12=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[61, 73, 95, 65], Operations: []
Exploring Operation: 95-61=34, Resulting Numbers: [73, 65, 34]
Generated Node #0,0: 18:[73, 65, 34] Operation: 95-61=34
Exploring Operation: 95-73=22, Resulting Numbers: [61, 65, 22]
Generated Node #0,1: 18:[61, 65, 22] Operation: 95-73=22
Exploring Operation: 95-65=30, Resulting Numbers: [61, 73, 30]
Generated Node #0,2: 18:[61, 73, 30] Operation: 95-65=30
Exploring Operation: 73-65=8, Resulting Numbers: [61, 95, 8]
Generated Node #0,3: 18:[61, 95, 8] Operation: 73-65=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 18:[61, 65, 22], Operations: ['95-73=22']
Exploring Operation: 61+65=126, Resulting Numbers: [22, 126]
Generated Node #0,1,0: 18:[22, 126] Operation: 61+65=126
Exploring Operation: 61-22=39, Resulting Numbers: [65, 39]
Generated Node #0,1,1: 18:[65, 39] Operation: 61-22=39
Exploring Operation: 65-22=43, Resulting Numbers: [61, 43]
Generated Node #0,1,2: 18:[61, 43] Operation: 65-22=43
Exploring Operation: 65-61=4, Resulting Numbers: [22, 4]
Generated Node #0,1,3: 18:[22, 4] Operation: 65-61=4
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 18:[22, 4], Operations: ['95-73=22', '65-61=4']
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[61, 73, 95, 65], Operations: []
Exploring Operation: 95-73=22, Resulting Numbers: [61, 65, 22]
Generated Node #0,1: 18:[61, 65, 22] Operation: 95-73=22
Moving to Node #0,1
Current State: 18:[61, 65, 22], Operations: ['95-73=22']
Exploring Operation: 65-61=4, Resulting Numbers: [22, 4]
Generated Node #0,1,3: 18:[22, 4] Operation: 65-61=4
Moving to Node #0,1,3
Current State: 18:[22, 4], Operations: ['95-73=22', '65-61=4']
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
15,
26,
30,
65
] | 46 | [
"26-15=11",
"65-30=35",
"11+35=46"
] | Current State: 46:[15, 26, 30, 65], Operations: []
Exploring Operation: 26-15=11, Resulting Numbers: [30, 65, 11]
Generated Node #2: [30, 65, 11] from Operation: 26-15=11
Current State: 46:[30, 65, 11], Operations: ['26-15=11']
Exploring Operation: 65-30=35, Resulting Numbers: [11, 35]
Generated Node #3: [11, 35] from Operation: 65-30=35
Current State: 46:[11, 35], Operations: ['26-15=11', '65-30=35']
Exploring Operation: 11+35=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[15, 26, 30, 65], Operations: []
Exploring Operation: 65-15=50, Resulting Numbers: [26, 30, 50]
Generated Node #0,0: 46:[26, 30, 50] Operation: 65-15=50
Moving to Node #0,0
Current State: 46:[26, 30, 50], Operations: ['65-15=50']
Exploring Operation: 30-26=4, Resulting Numbers: [50, 4]
Generated Node #0,0,0: 46:[50, 4] Operation: 30-26=4
Moving to Node #0,0,0
Current State: 46:[50, 4], Operations: ['65-15=50', '30-26=4']
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[15, 26, 30, 65], Operations: []
Exploring Operation: 65-15=50, Resulting Numbers: [26, 30, 50]
Generated Node #0,0: 46:[26, 30, 50] Operation: 65-15=50
Moving to Node #0,0
Current State: 46:[26, 30, 50], Operations: ['65-15=50']
Exploring Operation: 30-26=4, Resulting Numbers: [50, 4]
Generated Node #0,0,0: 46:[50, 4] Operation: 30-26=4
Moving to Node #0,0,0
Current State: 46:[50, 4], Operations: ['65-15=50', '30-26=4']
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
1,
1,
80,
97
] | 97 | [
"1-1=0",
"80*0=0",
"97+0=97"
] | Current State: 97:[1, 1, 80, 97], Operations: []
Exploring Operation: 1-1=0, Resulting Numbers: [80, 97, 0]
Generated Node #2: [80, 97, 0] from Operation: 1-1=0
Current State: 97:[80, 97, 0], Operations: ['1-1=0']
Exploring Operation: 80*0=0, Resulting Numbers: [97, 0]
Generated Node #3: [97, 0] from Operation: 80*0=0
Current State: 97:[97, 0], Operations: ['1-1=0', '80*0=0']
Exploring Operation: 97+0=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[1, 1, 80, 97], Operations: []
Exploring Operation: 1+80=81, Resulting Numbers: [1, 97, 81]
Generated Node #0,0: 97:[1, 97, 81] Operation: 1+80=81
Exploring Operation: 1+80=81, Resulting Numbers: [1, 97, 81]
Generated Node #0,1: 97:[1, 97, 81] Operation: 1+80=81
Exploring Operation: 1+1=2, Resulting Numbers: [80, 97, 2]
Generated Node #0,2: 97:[80, 97, 2] Operation: 1+1=2
Exploring Operation: 1*1=1, Resulting Numbers: [80, 97, 1]
Generated Node #0,3: 97:[80, 97, 1] Operation: 1*1=1
Moving to Node #0,0
Current State: 97:[1, 97, 81], Operations: ['1+80=81']
Exploring Operation: 1*97=97, Resulting Numbers: [81, 97]
Generated Node #0,0,0: 97:[81, 97] Operation: 1*97=97
Exploring Operation: 97/1=97, Resulting Numbers: [81, 97]
Generated Node #0,0,1: 97:[81, 97] Operation: 97/1=97
Exploring Operation: 1+81=82, Resulting Numbers: [97, 82]
Generated Node #0,0,2: 97:[97, 82] Operation: 1+81=82
Exploring Operation: 1*81=81, Resulting Numbers: [97, 81]
Generated Node #0,0,3: 97:[97, 81] Operation: 1*81=81
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 97:[97, 82], Operations: ['1+80=81', '1+81=82']
Exploring Operation: 97+82=179, Resulting Numbers: [179]
179,97 unequal: No Solution
Exploring Operation: 97-82=15, Resulting Numbers: [15]
15,97 unequal: No Solution
Exploring Operation: 97*82=7954, Resulting Numbers: [7954]
7954,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 97:[81, 97], Operations: ['1+80=81', '1*97=97']
Exploring Operation: 81*97=7857, Resulting Numbers: [7857]
7857,97 unequal: No Solution
Exploring Operation: 97-81=16, Resulting Numbers: [16]
16,97 unequal: No Solution
Exploring Operation: 81+97=178, Resulting Numbers: [178]
178,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 97:[81, 97], Operations: ['1+80=81', '97/1=97']
Exploring Operation: 81*97=7857, Resulting Numbers: [7857]
7857,97 unequal: No Solution
Exploring Operation: 81+97=178, Resulting Numbers: [178]
178,97 unequal: No Solution
Exploring Operation: 97-81=16, Resulting Numbers: [16]
16,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 97:[97, 81], Operations: ['1+80=81', '1*81=81']
Exploring Operation: 97+81=178, Resulting Numbers: [178]
178,97 unequal: No Solution
Exploring Operation: 97*81=7857, Resulting Numbers: [7857]
7857,97 unequal: No Solution
Exploring Operation: 97-81=16, Resulting Numbers: [16]
16,97 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: 97:[80, 97, 2], Operations: ['1+1=2']
Exploring Operation: 80-2=78, Resulting Numbers: [97, 78]
Generated Node #0,2,0: 97:[97, 78] Operation: 80-2=78
Exploring Operation: 97-2=95, Resulting Numbers: [80, 95]
Generated Node #0,2,1: 97:[80, 95] Operation: 97-2=95
Exploring Operation: 97+2=99, Resulting Numbers: [80, 99]
Generated Node #0,2,2: 97:[80, 99] Operation: 97+2=99
Exploring Operation: 80+2=82, Resulting Numbers: [97, 82]
Generated Node #0,2,3: 97:[97, 82] Operation: 80+2=82
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 97:[97, 82], Operations: ['1+1=2', '80+2=82']
Exploring Operation: 97-82=15, Resulting Numbers: [15]
15,97 unequal: No Solution
Exploring Operation: 97*82=7954, Resulting Numbers: [7954]
7954,97 unequal: No Solution
Exploring Operation: 97+82=179, Resulting Numbers: [179]
179,97 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 #0,2,0
Current State: 97:[97, 78], Operations: ['1+1=2', '80-2=78']
Exploring Operation: 97+78=175, Resulting Numbers: [175]
175,97 unequal: No Solution
Exploring Operation: 97*78=7566, Resulting Numbers: [7566]
7566,97 unequal: No Solution
Exploring Operation: 97-78=19, Resulting Numbers: [19]
19,97 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 #0,2,1
Current State: 97:[80, 95], Operations: ['1+1=2', '97-2=95']
Exploring Operation: 80+95=175, Resulting Numbers: [175]
175,97 unequal: No Solution
Exploring Operation: 80*95=7600, Resulting Numbers: [7600]
7600,97 unequal: No Solution
Exploring Operation: 95-80=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 #0,2,2
Current State: 97:[80, 99], Operations: ['1+1=2', '97+2=99']
Exploring Operation: 80*99=7920, Resulting Numbers: [7920]
7920,97 unequal: No Solution
Exploring Operation: 80+99=179, Resulting Numbers: [179]
179,97 unequal: No Solution
Exploring Operation: 99-80=19, Resulting Numbers: [19]
19,97 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: 97:[1, 97, 81], Operations: ['1+80=81']
Exploring Operation: 97/1=97, Resulting Numbers: [81, 97]
Generated Node #0,1,0: 97:[81, 97] Operation: 97/1=97
Exploring Operation: 1+81=82, Resulting Numbers: [97, 82]
Generated Node #0,1,1: 97:[97, 82] Operation: 1+81=82
Exploring Operation: 1*81=81, Resulting Numbers: [97, 81]
Generated Node #0,1,2: 97:[97, 81] Operation: 1*81=81
Exploring Operation: 1*97=97, Resulting Numbers: [81, 97]
Generated Node #0,1,3: 97:[81, 97] Operation: 1*97=97
Moving to Node #0,3
Current State: 97:[80, 97, 1], Operations: ['1*1=1']
Exploring Operation: 80/1=80, Resulting Numbers: [97, 80]
Generated Node #0,3,0: 97:[97, 80] Operation: 80/1=80
Exploring Operation: 80*1=80, Resulting Numbers: [97, 80]
Generated Node #0,3,1: 97:[97, 80] Operation: 80*1=80
Exploring Operation: 97*1=97, Resulting Numbers: [80, 97]
Generated Node #0,3,2: 97:[80, 97] Operation: 97*1=97
Exploring Operation: 80+1=81, Resulting Numbers: [97, 81]
Generated Node #0,3,3: 97:[97, 81] Operation: 80+1=81
Moving to Node #0,1,1
Current State: 97:[97, 82], Operations: ['1+80=81', '1+81=82']
Exploring Operation: 97+82=179, Resulting Numbers: [179]
179,97 unequal: No Solution
Exploring Operation: 97*82=7954, Resulting Numbers: [7954]
7954,97 unequal: No Solution
Exploring Operation: 97-82=15, Resulting Numbers: [15]
15,97 unequal: No Solution
Moving to Node #0,1,2
Current State: 97:[97, 81], Operations: ['1+80=81', '1*81=81']
Exploring Operation: 97-81=16, Resulting Numbers: [16]
16,97 unequal: No Solution
Exploring Operation: 97+81=178, Resulting Numbers: [178]
178,97 unequal: No Solution
Exploring Operation: 97*81=7857, Resulting Numbers: [7857]
7857,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[81, 97], Operations: ['1+80=81', '97/1=97']
Exploring Operation: 97-81=16, Resulting Numbers: [16]
16,97 unequal: No Solution
Exploring Operation: 81+97=178, Resulting Numbers: [178]
178,97 unequal: No Solution
Exploring Operation: 81*97=7857, Resulting Numbers: [7857]
7857,97 unequal: No Solution
Moving to Node #0,3,3
Current State: 97:[97, 81], Operations: ['1*1=1', '80+1=81']
Exploring Operation: 97*81=7857, Resulting Numbers: [7857]
7857,97 unequal: No Solution
Exploring Operation: 97+81=178, Resulting Numbers: [178]
178,97 unequal: No Solution
Exploring Operation: 97-81=16, Resulting Numbers: [16]
16,97 unequal: No Solution
Moving to Node #0,1,3
Current State: 97:[81, 97], Operations: ['1+80=81', '1*97=97']
Exploring Operation: 81*97=7857, Resulting Numbers: [7857]
7857,97 unequal: No Solution
Exploring Operation: 81+97=178, Resulting Numbers: [178]
178,97 unequal: No Solution
Exploring Operation: 97-81=16, Resulting Numbers: [16]
16,97 unequal: No Solution
Moving to Node #0,3,1
Current State: 97:[97, 80], Operations: ['1*1=1', '80*1=80']
Exploring Operation: 97-80=17, Resulting Numbers: [17]
17,97 unequal: No Solution
Exploring Operation: 97*80=7760, Resulting Numbers: [7760]
7760,97 unequal: No Solution
Exploring Operation: 97+80=177, Resulting Numbers: [177]
177,97 unequal: No Solution
Moving to Node #0,3,0
Current State: 97:[97, 80], Operations: ['1*1=1', '80/1=80']
Exploring Operation: 97-80=17, Resulting Numbers: [17]
17,97 unequal: No Solution
Exploring Operation: 97*80=7760, Resulting Numbers: [7760]
7760,97 unequal: No Solution
Exploring Operation: 97+80=177, Resulting Numbers: [177]
177,97 unequal: No Solution
Moving to Node #0,3,2
Current State: 97:[80, 97], Operations: ['1*1=1', '97*1=97']
Exploring Operation: 80*97=7760, Resulting Numbers: [7760]
7760,97 unequal: No Solution
Exploring Operation: 97-80=17, Resulting Numbers: [17]
17,97 unequal: No Solution
Exploring Operation: 80+97=177, Resulting Numbers: [177]
177,97 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
73,
90,
76,
25
] | 55 | [
"76-73=3",
"90/3=30",
"25+30=55"
] | Current State: 55:[73, 90, 76, 25], Operations: []
Exploring Operation: 76-73=3, Resulting Numbers: [90, 25, 3]
Generated Node #2: [90, 25, 3] from Operation: 76-73=3
Current State: 55:[90, 25, 3], Operations: ['76-73=3']
Exploring Operation: 90/3=30, Resulting Numbers: [25, 30]
Generated Node #3: [25, 30] from Operation: 90/3=30
Current State: 55:[25, 30], Operations: ['76-73=3', '90/3=30']
Exploring Operation: 25+30=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[73, 90, 76, 25], Operations: []
Exploring Operation: 90-73=17, Resulting Numbers: [76, 25, 17]
Generated Node #0,0: 55:[76, 25, 17] Operation: 90-73=17
Exploring Operation: 90-25=65, Resulting Numbers: [73, 76, 65]
Generated Node #0,1: 55:[73, 76, 65] Operation: 90-25=65
Exploring Operation: 90-76=14, Resulting Numbers: [73, 25, 14]
Generated Node #0,2: 55:[73, 25, 14] Operation: 90-76=14
Start Sub Search at level 1: Moving to Node #0,2
Current State: 55:[73, 25, 14], Operations: ['90-76=14']
Exploring Operation: 25-14=11, Resulting Numbers: [73, 11]
Generated Node #0,2,0: 55:[73, 11] Operation: 25-14=11
Exploring Operation: 73-14=59, Resulting Numbers: [25, 59]
Generated Node #0,2,1: 55:[25, 59] Operation: 73-14=59
Exploring Operation: 73-25=48, Resulting Numbers: [14, 48]
Generated Node #0,2,2: 55:[14, 48] Operation: 73-25=48
Moving to Node #0,2,2
Current State: 55:[14, 48], Operations: ['90-76=14', '73-25=48']
Exploring Operation: 14+48=62, Resulting Numbers: [62]
62,55 unequal: No Solution
Exploring Operation: 48-14=34, Resulting Numbers: [34]
34,55 unequal: No Solution
Exploring Operation: 14*48=672, Resulting Numbers: [672]
672,55 unequal: No Solution
Moving to Node #0,2,0
Current State: 55:[73, 11], Operations: ['90-76=14', '25-14=11']
Exploring Operation: 73-11=62, Resulting Numbers: [62]
62,55 unequal: No Solution
Exploring Operation: 73*11=803, Resulting Numbers: [803]
803,55 unequal: No Solution
Exploring Operation: 73+11=84, Resulting Numbers: [84]
84,55 unequal: No Solution
Moving to Node #0,2,1
Current State: 55:[25, 59], Operations: ['90-76=14', '73-14=59']
Exploring Operation: 25*59=1475, Resulting Numbers: [1475]
1475,55 unequal: No Solution
Exploring Operation: 25+59=84, Resulting Numbers: [84]
84,55 unequal: No Solution
Exploring Operation: 59-25=34, Resulting Numbers: [34]
34,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[76, 25, 17], Operations: ['90-73=17']
Exploring Operation: 76-25=51, Resulting Numbers: [17, 51]
Generated Node #0,0,0: 55:[17, 51] Operation: 76-25=51
Exploring Operation: 25-17=8, Resulting Numbers: [76, 8]
Generated Node #0,0,1: 55:[76, 8] Operation: 25-17=8
Exploring Operation: 76-17=59, Resulting Numbers: [25, 59]
Generated Node #0,0,2: 55:[25, 59] Operation: 76-17=59
Moving to Node #0,0,0
Current State: 55:[17, 51], Operations: ['90-73=17', '76-25=51']
Exploring Operation: 51/17=3, Resulting Numbers: [3]
3,55 unequal: No Solution
Exploring Operation: 51-17=34, Resulting Numbers: [34]
34,55 unequal: No Solution
Exploring Operation: 17+51=68, Resulting Numbers: [68]
68,55 unequal: No Solution
Moving to Node #0,0,2
Current State: 55:[25, 59], Operations: ['90-73=17', '76-17=59']
Exploring Operation: 25+59=84, Resulting Numbers: [84]
84,55 unequal: No Solution
Exploring Operation: 59-25=34, Resulting Numbers: [34]
34,55 unequal: No Solution
Exploring Operation: 25*59=1475, Resulting Numbers: [1475]
1475,55 unequal: No Solution
Moving to Node #0,0,1
Current State: 55:[76, 8], Operations: ['90-73=17', '25-17=8']
Exploring Operation: 76-8=68, Resulting Numbers: [68]
68,55 unequal: No Solution
Exploring Operation: 76+8=84, Resulting Numbers: [84]
84,55 unequal: No Solution
Exploring Operation: 76*8=608, Resulting Numbers: [608]
608,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 55:[73, 76, 65], Operations: ['90-25=65']
Exploring Operation: 76-73=3, Resulting Numbers: [65, 3]
Generated Node #0,1,0: 55:[65, 3] Operation: 76-73=3
Exploring Operation: 73-65=8, Resulting Numbers: [76, 8]
Generated Node #0,1,1: 55:[76, 8] Operation: 73-65=8
Exploring Operation: 76-65=11, Resulting Numbers: [73, 11]
Generated Node #0,1,2: 55:[73, 11] Operation: 76-65=11
Moving to Node #0,1,0
Current State: 55:[65, 3], Operations: ['90-25=65', '76-73=3']
Exploring Operation: 65+3=68, Resulting Numbers: [68]
68,55 unequal: No Solution
Exploring Operation: 65*3=195, Resulting Numbers: [195]
195,55 unequal: No Solution
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,55 unequal: No Solution
Moving to Node #0,1,2
Current State: 55:[73, 11], Operations: ['90-25=65', '76-65=11']
Exploring Operation: 73-11=62, Resulting Numbers: [62]
62,55 unequal: No Solution
Exploring Operation: 73+11=84, Resulting Numbers: [84]
84,55 unequal: No Solution
Exploring Operation: 73*11=803, Resulting Numbers: [803]
803,55 unequal: No Solution
Moving to Node #0,1,1
Current State: 55:[76, 8], Operations: ['90-25=65', '73-65=8']
Exploring Operation: 76*8=608, Resulting Numbers: [608]
608,55 unequal: No Solution
Exploring Operation: 76+8=84, Resulting Numbers: [84]
84,55 unequal: No Solution
Exploring Operation: 76-8=68, Resulting Numbers: [68]
68,55 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 |
[
20,
3,
42,
69
] | 77 | [
"69-20=49",
"3*42=126",
"126-49=77"
] | Current State: 77:[20, 3, 42, 69], Operations: []
Exploring Operation: 69-20=49, Resulting Numbers: [3, 42, 49]
Generated Node #2: [3, 42, 49] from Operation: 69-20=49
Current State: 77:[3, 42, 49], Operations: ['69-20=49']
Exploring Operation: 3*42=126, Resulting Numbers: [49, 126]
Generated Node #3: [49, 126] from Operation: 3*42=126
Current State: 77:[49, 126], Operations: ['69-20=49', '3*42=126']
Exploring Operation: 126-49=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[20, 3, 42, 69], Operations: []
Exploring Operation: 42/3=14, Resulting Numbers: [20, 69, 14]
Generated Node #0,0: 77:[20, 69, 14] Operation: 42/3=14
Exploring Operation: 20-3=17, Resulting Numbers: [42, 69, 17]
Generated Node #0,1: 77:[42, 69, 17] Operation: 20-3=17
Exploring Operation: 69-42=27, Resulting Numbers: [20, 3, 27]
Generated Node #0,2: 77:[20, 3, 27] Operation: 69-42=27
Exploring Operation: 42-20=22, Resulting Numbers: [3, 69, 22]
Generated Node #0,3: 77:[3, 69, 22] Operation: 42-20=22
Exploring Operation: 20+42=62, Resulting Numbers: [3, 69, 62]
Generated Node #0,4: 77:[3, 69, 62] Operation: 20+42=62
Moving to Node #0,0
Current State: 77:[20, 69, 14], Operations: ['42/3=14']
Exploring Operation: 20+14=34, Resulting Numbers: [69, 34]
Generated Node #0,0,0: 77:[69, 34] Operation: 20+14=34
Exploring Operation: 20-14=6, Resulting Numbers: [69, 6]
Generated Node #0,0,1: 77:[69, 6] Operation: 20-14=6
Exploring Operation: 69+14=83, Resulting Numbers: [20, 83]
Generated Node #0,0,2: 77:[20, 83] Operation: 69+14=83
Exploring Operation: 20+69=89, Resulting Numbers: [14, 89]
Generated Node #0,0,3: 77:[14, 89] Operation: 20+69=89
Exploring Operation: 69-20=49, Resulting Numbers: [14, 49]
Generated Node #0,0,4: 77:[14, 49] Operation: 69-20=49
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 77:[69, 6], Operations: ['42/3=14', '20-14=6']
Exploring Operation: 69*6=414, Resulting Numbers: [414]
414,77 unequal: No Solution
Exploring Operation: 69-6=63, Resulting Numbers: [63]
63,77 unequal: No Solution
Exploring Operation: 69+6=75, Resulting Numbers: [75]
75,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 77:[20, 83], Operations: ['42/3=14', '69+14=83']
Exploring Operation: 20+83=103, Resulting Numbers: [103]
103,77 unequal: No Solution
Exploring Operation: 20*83=1660, Resulting Numbers: [1660]
1660,77 unequal: No Solution
Exploring Operation: 83-20=63, Resulting Numbers: [63]
63,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 77:[14, 89], Operations: ['42/3=14', '20+69=89']
Exploring Operation: 14+89=103, Resulting Numbers: [103]
103,77 unequal: No Solution
Exploring Operation: 89-14=75, Resulting Numbers: [75]
75,77 unequal: No Solution
Exploring Operation: 14*89=1246, Resulting Numbers: [1246]
1246,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 77:[69, 34], Operations: ['42/3=14', '20+14=34']
Exploring Operation: 69+34=103, Resulting Numbers: [103]
103,77 unequal: No Solution
Exploring Operation: 69-34=35, Resulting Numbers: [35]
35,77 unequal: No Solution
Exploring Operation: 69*34=2346, Resulting Numbers: [2346]
2346,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 77:[14, 49], Operations: ['42/3=14', '69-20=49']
Exploring Operation: 14+49=63, Resulting Numbers: [63]
63,77 unequal: No Solution
Exploring Operation: 49-14=35, Resulting Numbers: [35]
35,77 unequal: No Solution
Exploring Operation: 14*49=686, Resulting Numbers: [686]
686,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 77:[3, 69, 22], Operations: ['42-20=22']
Exploring Operation: 3*22=66, Resulting Numbers: [69, 66]
Generated Node #0,3,0: 77:[69, 66] Operation: 3*22=66
Exploring Operation: 22-3=19, Resulting Numbers: [69, 19]
Generated Node #0,3,1: 77:[69, 19] Operation: 22-3=19
Exploring Operation: 3+69=72, Resulting Numbers: [22, 72]
Generated Node #0,3,2: 77:[22, 72] Operation: 3+69=72
Exploring Operation: 69+22=91, Resulting Numbers: [3, 91]
Generated Node #0,3,3: 77:[3, 91] Operation: 69+22=91
Exploring Operation: 69-3=66, Resulting Numbers: [22, 66]
Generated Node #0,3,4: 77:[22, 66] Operation: 69-3=66
Moving to Node #0,4
Current State: 77:[3, 69, 62], Operations: ['20+42=62']
Exploring Operation: 3+62=65, Resulting Numbers: [69, 65]
Generated Node #0,4,0: 77:[69, 65] Operation: 3+62=65
Exploring Operation: 62-3=59, Resulting Numbers: [69, 59]
Generated Node #0,4,1: 77:[69, 59] Operation: 62-3=59
Exploring Operation: 69-62=7, Resulting Numbers: [3, 7]
Generated Node #0,4,2: 77:[3, 7] Operation: 69-62=7
Exploring Operation: 3+69=72, Resulting Numbers: [62, 72]
Generated Node #0,4,3: 77:[62, 72] Operation: 3+69=72
Exploring Operation: 69-3=66, Resulting Numbers: [62, 66]
Generated Node #0,4,4: 77:[62, 66] Operation: 69-3=66
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 77:[3, 7], Operations: ['20+42=62', '69-62=7']
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,77 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 77:[69, 65], Operations: ['20+42=62', '3+62=65']
Exploring Operation: 69+65=134, Resulting Numbers: [134]
134,77 unequal: No Solution
Exploring Operation: 69-65=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 69*65=4485, Resulting Numbers: [4485]
4485,77 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 #0,4,3
Current State: 77:[62, 72], Operations: ['20+42=62', '3+69=72']
Exploring Operation: 62*72=4464, Resulting Numbers: [4464]
4464,77 unequal: No Solution
Exploring Operation: 62+72=134, Resulting Numbers: [134]
134,77 unequal: No Solution
Exploring Operation: 72-62=10, Resulting Numbers: [10]
10,77 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 #0,4,1
Current State: 77:[69, 59], Operations: ['20+42=62', '62-3=59']
Exploring Operation: 69+59=128, Resulting Numbers: [128]
128,77 unequal: No Solution
Exploring Operation: 69-59=10, Resulting Numbers: [10]
10,77 unequal: No Solution
Exploring Operation: 69*59=4071, Resulting Numbers: [4071]
4071,77 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 #0,4,4
Current State: 77:[62, 66], Operations: ['20+42=62', '69-3=66']
Exploring Operation: 62*66=4092, Resulting Numbers: [4092]
4092,77 unequal: No Solution
Exploring Operation: 66-62=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 62+66=128, Resulting Numbers: [128]
128,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 77:[20, 3, 27], Operations: ['69-42=27']
Exploring Operation: 27-3=24, Resulting Numbers: [20, 24]
Generated Node #0,2,0: 77:[20, 24] Operation: 27-3=24
Exploring Operation: 27-20=7, Resulting Numbers: [3, 7]
Generated Node #0,2,1: 77:[3, 7] Operation: 27-20=7
Exploring Operation: 3*27=81, Resulting Numbers: [20, 81]
Generated Node #0,2,2: 77:[20, 81] Operation: 3*27=81
Exploring Operation: 20-3=17, Resulting Numbers: [27, 17]
Generated Node #0,2,3: 77:[27, 17] Operation: 20-3=17
Exploring Operation: 27/3=9, Resulting Numbers: [20, 9]
Generated Node #0,2,4: 77:[20, 9] Operation: 27/3=9
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 77:[3, 7], Operations: ['69-42=27', '27-20=7']
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,77 unequal: No Solution
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 77:[20, 9], Operations: ['69-42=27', '27/3=9']
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,77 unequal: No Solution
Exploring Operation: 20+9=29, Resulting Numbers: [29]
29,77 unequal: No Solution
Exploring Operation: 20*9=180, Resulting Numbers: [180]
180,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 77:[20, 81], Operations: ['69-42=27', '3*27=81']
Exploring Operation: 20*81=1620, Resulting Numbers: [1620]
1620,77 unequal: No Solution
Exploring Operation: 20+81=101, Resulting Numbers: [101]
101,77 unequal: No Solution
Exploring Operation: 81-20=61, Resulting Numbers: [61]
61,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 77:[20, 24], Operations: ['69-42=27', '27-3=24']
Exploring Operation: 24-20=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 20+24=44, Resulting Numbers: [44]
44,77 unequal: No Solution
Exploring Operation: 20*24=480, Resulting Numbers: [480]
480,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 77:[27, 17], Operations: ['69-42=27', '20-3=17']
Exploring Operation: 27+17=44, Resulting Numbers: [44]
44,77 unequal: No Solution
Exploring Operation: 27-17=10, Resulting Numbers: [10]
10,77 unequal: No Solution
Exploring Operation: 27*17=459, Resulting Numbers: [459]
459,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 77:[42, 69, 17], Operations: ['20-3=17']
Exploring Operation: 69-42=27, Resulting Numbers: [17, 27]
Generated Node #0,1,0: 77:[17, 27] Operation: 69-42=27
Exploring Operation: 69+17=86, Resulting Numbers: [42, 86]
Generated Node #0,1,1: 77:[42, 86] Operation: 69+17=86
Exploring Operation: 42-17=25, Resulting Numbers: [69, 25]
Generated Node #0,1,2: 77:[69, 25] Operation: 42-17=25
Exploring Operation: 42+17=59, Resulting Numbers: [69, 59]
Generated Node #0,1,3: 77:[69, 59] Operation: 42+17=59
Exploring Operation: 42+69=111, Resulting Numbers: [17, 111]
Generated Node #0,1,4: 77:[17, 111] Operation: 42+69=111
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 77:[17, 27], Operations: ['20-3=17', '69-42=27']
Exploring Operation: 17+27=44, Resulting Numbers: [44]
44,77 unequal: No Solution
Exploring Operation: 17*27=459, Resulting Numbers: [459]
459,77 unequal: No Solution
Exploring Operation: 27-17=10, Resulting Numbers: [10]
10,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 77:[69, 25], Operations: ['20-3=17', '42-17=25']
Exploring Operation: 69+25=94, Resulting Numbers: [94]
94,77 unequal: No Solution
Exploring Operation: 69-25=44, Resulting Numbers: [44]
44,77 unequal: No Solution
Exploring Operation: 69*25=1725, Resulting Numbers: [1725]
1725,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 77:[69, 59], Operations: ['20-3=17', '42+17=59']
Exploring Operation: 69+59=128, Resulting Numbers: [128]
128,77 unequal: No Solution
Exploring Operation: 69*59=4071, Resulting Numbers: [4071]
4071,77 unequal: No Solution
Exploring Operation: 69-59=10, Resulting Numbers: [10]
10,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 77:[42, 86], Operations: ['20-3=17', '69+17=86']
Exploring Operation: 86-42=44, Resulting Numbers: [44]
44,77 unequal: No Solution
Exploring Operation: 42+86=128, Resulting Numbers: [128]
128,77 unequal: No Solution
Exploring Operation: 42*86=3612, Resulting Numbers: [3612]
3612,77 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 #0,1,4
Current State: 77:[17, 111], Operations: ['20-3=17', '42+69=111']
Exploring Operation: 111-17=94, Resulting Numbers: [94]
94,77 unequal: No Solution
Exploring Operation: 17*111=1887, Resulting Numbers: [1887]
1887,77 unequal: No Solution
Exploring Operation: 17+111=128, Resulting Numbers: [128]
128,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,1
Current State: 77:[69, 19], Operations: ['42-20=22', '22-3=19']
Exploring Operation: 69-19=50, Resulting Numbers: [50]
50,77 unequal: No Solution
Exploring Operation: 69*19=1311, Resulting Numbers: [1311]
1311,77 unequal: No Solution
Exploring Operation: 69+19=88, Resulting Numbers: [88]
88,77 unequal: No Solution
Moving to Node #0,3,2
Current State: 77:[22, 72], Operations: ['42-20=22', '3+69=72']
Exploring Operation: 22*72=1584, Resulting Numbers: [1584]
1584,77 unequal: No Solution
Exploring Operation: 72-22=50, Resulting Numbers: [50]
50,77 unequal: No Solution
Exploring Operation: 22+72=94, Resulting Numbers: [94]
94,77 unequal: No Solution
Moving to Node #0,3,3
Current State: 77:[3, 91], Operations: ['42-20=22', '69+22=91']
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,77 unequal: No Solution
Exploring Operation: 3+91=94, Resulting Numbers: [94]
94,77 unequal: No Solution
Exploring Operation: 3*91=273, Resulting Numbers: [273]
273,77 unequal: No Solution
Moving to Node #0,3,0
Current State: 77:[69, 66], Operations: ['42-20=22', '3*22=66']
Exploring Operation: 69*66=4554, Resulting Numbers: [4554]
4554,77 unequal: No Solution
Exploring Operation: 69+66=135, Resulting Numbers: [135]
135,77 unequal: No Solution
Exploring Operation: 69-66=3, Resulting Numbers: [3]
3,77 unequal: No Solution
Moving to Node #0,3,4
Current State: 77:[22, 66], Operations: ['42-20=22', '69-3=66']
Exploring Operation: 66-22=44, Resulting Numbers: [44]
44,77 unequal: No Solution
Exploring Operation: 22+66=88, Resulting Numbers: [88]
88,77 unequal: No Solution
Exploring Operation: 66/22=3, Resulting Numbers: [3]
3,77 unequal: No Solution
Exploring Operation: 22*66=1452, Resulting Numbers: [1452]
1452,77 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
43,
40,
15,
23
] | 35 | [
"43-40=3",
"15+23=38",
"38-3=35"
] | Current State: 35:[43, 40, 15, 23], Operations: []
Exploring Operation: 43-40=3, Resulting Numbers: [15, 23, 3]
Generated Node #2: [15, 23, 3] from Operation: 43-40=3
Current State: 35:[15, 23, 3], Operations: ['43-40=3']
Exploring Operation: 15+23=38, Resulting Numbers: [3, 38]
Generated Node #3: [3, 38] from Operation: 15+23=38
Current State: 35:[3, 38], Operations: ['43-40=3', '15+23=38']
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[43, 40, 15, 23], Operations: []
Exploring Operation: 43-40=3, Resulting Numbers: [15, 23, 3]
Generated Node #0,0: 35:[15, 23, 3] Operation: 43-40=3
Exploring Operation: 23-15=8, Resulting Numbers: [43, 40, 8]
Generated Node #0,1: 35:[43, 40, 8] Operation: 23-15=8
Exploring Operation: 15+23=38, Resulting Numbers: [43, 40, 38]
Generated Node #0,2: 35:[43, 40, 38] Operation: 15+23=38
Moving to Node #0,1
Current State: 35:[43, 40, 8], Operations: ['23-15=8']
Exploring Operation: 40/8=5, Resulting Numbers: [43, 5]
Generated Node #0,1,0: 35:[43, 5] Operation: 40/8=5
Exploring Operation: 43-8=35, Resulting Numbers: [40, 35]
Generated Node #0,1,1: 35:[40, 35] Operation: 43-8=35
Exploring Operation: 43-40=3, Resulting Numbers: [8, 3]
Generated Node #0,1,2: 35:[8, 3] Operation: 43-40=3
Moving to Node #0,2
Current State: 35:[43, 40, 38], Operations: ['15+23=38']
Exploring Operation: 43-40=3, Resulting Numbers: [38, 3]
Generated Node #0,2,0: 35:[38, 3] Operation: 43-40=3
Exploring Operation: 43-38=5, Resulting Numbers: [40, 5]
Generated Node #0,2,1: 35:[40, 5] Operation: 43-38=5
Exploring Operation: 40-38=2, Resulting Numbers: [43, 2]
Generated Node #0,2,2: 35:[43, 2] Operation: 40-38=2
Moving to Node #0,0
Current State: 35:[15, 23, 3], Operations: ['43-40=3']
Exploring Operation: 15/3=5, Resulting Numbers: [23, 5]
Generated Node #0,0,0: 35:[23, 5] Operation: 15/3=5
Exploring Operation: 15+23=38, Resulting Numbers: [3, 38]
Generated Node #0,0,1: 35:[3, 38] Operation: 15+23=38
Exploring Operation: 23-15=8, Resulting Numbers: [3, 8]
Generated Node #0,0,2: 35:[3, 8] Operation: 23-15=8
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 35:[3, 8], Operations: ['43-40=3', '23-15=8']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,35 unequal: No Solution
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,35 unequal: No Solution
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 35:[3, 38], Operations: ['43-40=3', '15+23=38']
Exploring Operation: 3*38=114, Resulting Numbers: [114]
114,35 unequal: No Solution
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[43, 40, 15, 23], Operations: []
Exploring Operation: 43-40=3, Resulting Numbers: [15, 23, 3]
Generated Node #0,0: 35:[15, 23, 3] Operation: 43-40=3
Moving to Node #0,0
Current State: 35:[15, 23, 3], Operations: ['43-40=3']
Exploring Operation: 15+23=38, Resulting Numbers: [3, 38]
Generated Node #0,0,1: 35:[3, 38] Operation: 15+23=38
Moving to Node #0,0,1
Current State: 35:[3, 38], Operations: ['43-40=3', '15+23=38']
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_3 | mult_heuristic |
[
8,
19,
24,
10
] | 87 | [
"24/8=3",
"19+10=29",
"3*29=87"
] | Current State: 87:[8, 19, 24, 10], Operations: []
Exploring Operation: 24/8=3, Resulting Numbers: [19, 10, 3]
Generated Node #2: [19, 10, 3] from Operation: 24/8=3
Current State: 87:[19, 10, 3], Operations: ['24/8=3']
Exploring Operation: 19+10=29, Resulting Numbers: [3, 29]
Generated Node #3: [3, 29] from Operation: 19+10=29
Current State: 87:[3, 29], Operations: ['24/8=3', '19+10=29']
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[8, 19, 24, 10], Operations: []
Exploring Operation: 10-8=2, Resulting Numbers: [19, 24, 2]
Generated Node #0,0: 87:[19, 24, 2] Operation: 10-8=2
Exploring Operation: 24-19=5, Resulting Numbers: [8, 10, 5]
Generated Node #0,1: 87:[8, 10, 5] Operation: 24-19=5
Exploring Operation: 8+19=27, Resulting Numbers: [24, 10, 27]
Generated Node #0,2: 87:[24, 10, 27] Operation: 8+19=27
Exploring Operation: 19+10=29, Resulting Numbers: [8, 24, 29]
Generated Node #0,3: 87:[8, 24, 29] Operation: 19+10=29
Moving to Node #0,3
Current State: 87:[8, 24, 29], Operations: ['19+10=29']
Exploring Operation: 24-8=16, Resulting Numbers: [29, 16]
Generated Node #0,3,0: 87:[29, 16] Operation: 24-8=16
Exploring Operation: 24/8=3, Resulting Numbers: [29, 3]
Generated Node #0,3,1: 87:[29, 3] Operation: 24/8=3
Exploring Operation: 8+24=32, Resulting Numbers: [29, 32]
Generated Node #0,3,2: 87:[29, 32] Operation: 8+24=32
Exploring Operation: 29-24=5, Resulting Numbers: [8, 5]
Generated Node #0,3,3: 87:[8, 5] Operation: 29-24=5
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 87:[29, 3], Operations: ['19+10=29', '24/8=3']
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,87 unequal: No Solution
Exploring Operation: 29*3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[8, 19, 24, 10], Operations: []
Exploring Operation: 19+10=29, Resulting Numbers: [8, 24, 29]
Generated Node #0,3: 87:[8, 24, 29] Operation: 19+10=29
Moving to Node #0,3
Current State: 87:[8, 24, 29], Operations: ['19+10=29']
Exploring Operation: 24/8=3, Resulting Numbers: [29, 3]
Generated Node #0,3,1: 87:[29, 3] Operation: 24/8=3
Moving to Node #0,3,1
Current State: 87:[29, 3], Operations: ['19+10=29', '24/8=3']
Exploring Operation: 29*3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
67,
8,
47,
73
] | 85 | [
"67-8=59",
"73-47=26",
"59+26=85"
] | Current State: 85:[67, 8, 47, 73], Operations: []
Exploring Operation: 67-8=59, Resulting Numbers: [47, 73, 59]
Generated Node #2: [47, 73, 59] from Operation: 67-8=59
Current State: 85:[47, 73, 59], Operations: ['67-8=59']
Exploring Operation: 73-47=26, Resulting Numbers: [59, 26]
Generated Node #3: [59, 26] from Operation: 73-47=26
Current State: 85:[59, 26], Operations: ['67-8=59', '73-47=26']
Exploring Operation: 59+26=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[67, 8, 47, 73], Operations: []
Exploring Operation: 67-47=20, Resulting Numbers: [8, 73, 20]
Generated Node #0,0: 85:[8, 73, 20] Operation: 67-47=20
Exploring Operation: 73-47=26, Resulting Numbers: [67, 8, 26]
Generated Node #0,1: 85:[67, 8, 26] Operation: 73-47=26
Exploring Operation: 73-67=6, Resulting Numbers: [8, 47, 6]
Generated Node #0,2: 85:[8, 47, 6] Operation: 73-67=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[8, 73, 20], Operations: ['67-47=20']
Exploring Operation: 8+73=81, Resulting Numbers: [20, 81]
Generated Node #0,0,0: 85:[20, 81] Operation: 8+73=81
Exploring Operation: 73+20=93, Resulting Numbers: [8, 93]
Generated Node #0,0,1: 85:[8, 93] Operation: 73+20=93
Exploring Operation: 20-8=12, Resulting Numbers: [73, 12]
Generated Node #0,0,2: 85:[73, 12] Operation: 20-8=12
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 85:[20, 81], Operations: ['67-47=20', '8+73=81']
Exploring Operation: 20+81=101, Resulting Numbers: [101]
101,85 unequal: No Solution
Exploring Operation: 20*81=1620, Resulting Numbers: [1620]
1620,85 unequal: No Solution
Exploring Operation: 81-20=61, Resulting Numbers: [61]
61,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 85:[8, 93], Operations: ['67-47=20', '73+20=93']
Exploring Operation: 8*93=744, Resulting Numbers: [744]
744,85 unequal: No Solution
Exploring Operation: 8+93=101, Resulting Numbers: [101]
101,85 unequal: No Solution
Exploring Operation: 93-8=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[67, 8, 47, 73], Operations: []
Exploring Operation: 67-47=20, Resulting Numbers: [8, 73, 20]
Generated Node #0,0: 85:[8, 73, 20] Operation: 67-47=20
Moving to Node #0,0
Current State: 85:[8, 73, 20], Operations: ['67-47=20']
Exploring Operation: 73+20=93, Resulting Numbers: [8, 93]
Generated Node #0,0,1: 85:[8, 93] Operation: 73+20=93
Moving to Node #0,0,1
Current State: 85:[8, 93], Operations: ['67-47=20', '73+20=93']
Exploring Operation: 93-8=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_3 | sum_heuristic |
[
72,
43,
2,
88
] | 61 | [
"72+43=115",
"2*88=176",
"176-115=61"
] | Current State: 61:[72, 43, 2, 88], Operations: []
Exploring Operation: 72+43=115, Resulting Numbers: [2, 88, 115]
Generated Node #2: [2, 88, 115] from Operation: 72+43=115
Current State: 61:[2, 88, 115], Operations: ['72+43=115']
Exploring Operation: 2*88=176, Resulting Numbers: [115, 176]
Generated Node #3: [115, 176] from Operation: 2*88=176
Current State: 61:[115, 176], Operations: ['72+43=115', '2*88=176']
Exploring Operation: 176-115=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[72, 43, 2, 88], Operations: []
Exploring Operation: 43+2=45, Resulting Numbers: [72, 88, 45]
Generated Node #0,0: 61:[72, 88, 45] Operation: 43+2=45
Exploring Operation: 72-2=70, Resulting Numbers: [43, 88, 70]
Generated Node #0,1: 61:[43, 88, 70] Operation: 72-2=70
Exploring Operation: 88/2=44, Resulting Numbers: [72, 43, 44]
Generated Node #0,2: 61:[72, 43, 44] Operation: 88/2=44
Exploring Operation: 72+2=74, Resulting Numbers: [43, 88, 74]
Generated Node #0,3: 61:[43, 88, 74] Operation: 72+2=74
Exploring Operation: 88-2=86, Resulting Numbers: [72, 43, 86]
Generated Node #0,4: 61:[72, 43, 86] Operation: 88-2=86
Start Sub Search at level 1: Moving to Node #0,2
Current State: 61:[72, 43, 44], Operations: ['88/2=44']
Exploring Operation: 72-43=29, Resulting Numbers: [44, 29]
Generated Node #0,2,0: 61:[44, 29] Operation: 72-43=29
Exploring Operation: 44-43=1, Resulting Numbers: [72, 1]
Generated Node #0,2,1: 61:[72, 1] Operation: 44-43=1
Exploring Operation: 72+43=115, Resulting Numbers: [44, 115]
Generated Node #0,2,2: 61:[44, 115] Operation: 72+43=115
Exploring Operation: 72-44=28, Resulting Numbers: [43, 28]
Generated Node #0,2,3: 61:[43, 28] Operation: 72-44=28
Exploring Operation: 43+44=87, Resulting Numbers: [72, 87]
Generated Node #0,2,4: 61:[72, 87] Operation: 43+44=87
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 61:[72, 87], Operations: ['88/2=44', '43+44=87']
Exploring Operation: 72*87=6264, Resulting Numbers: [6264]
6264,61 unequal: No Solution
Exploring Operation: 72+87=159, Resulting Numbers: [159]
159,61 unequal: No Solution
Exploring Operation: 87-72=15, Resulting Numbers: [15]
15,61 unequal: No Solution
No 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: 61:[44, 29], Operations: ['88/2=44', '72-43=29']
Exploring Operation: 44-29=15, Resulting Numbers: [15]
15,61 unequal: No Solution
Exploring Operation: 44+29=73, Resulting Numbers: [73]
73,61 unequal: No Solution
Exploring Operation: 44*29=1276, Resulting Numbers: [1276]
1276,61 unequal: No Solution
No 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: 61:[43, 28], Operations: ['88/2=44', '72-44=28']
Exploring Operation: 43-28=15, Resulting Numbers: [15]
15,61 unequal: No Solution
Exploring Operation: 43*28=1204, Resulting Numbers: [1204]
1204,61 unequal: No Solution
Exploring Operation: 43+28=71, Resulting Numbers: [71]
71,61 unequal: No Solution
No 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: 61:[72, 1], Operations: ['88/2=44', '44-43=1']
Exploring Operation: 72+1=73, Resulting Numbers: [73]
73,61 unequal: No Solution
Exploring Operation: 72/1=72, Resulting Numbers: [72]
72,61 unequal: No Solution
Exploring Operation: 72*1=72, Resulting Numbers: [72]
72,61 unequal: No Solution
Exploring Operation: 72-1=71, Resulting Numbers: [71]
71,61 unequal: No Solution
No 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: 61:[44, 115], Operations: ['88/2=44', '72+43=115']
Exploring Operation: 44*115=5060, Resulting Numbers: [5060]
5060,61 unequal: No Solution
Exploring Operation: 44+115=159, Resulting Numbers: [159]
159,61 unequal: No Solution
Exploring Operation: 115-44=71, Resulting Numbers: [71]
71,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[72, 88, 45], Operations: ['43+2=45']
Exploring Operation: 72-45=27, Resulting Numbers: [88, 27]
Generated Node #0,0,0: 61:[88, 27] Operation: 72-45=27
Exploring Operation: 88+45=133, Resulting Numbers: [72, 133]
Generated Node #0,0,1: 61:[72, 133] Operation: 88+45=133
Exploring Operation: 72+45=117, Resulting Numbers: [88, 117]
Generated Node #0,0,2: 61:[88, 117] Operation: 72+45=117
Exploring Operation: 88-72=16, Resulting Numbers: [45, 16]
Generated Node #0,0,3: 61:[45, 16] Operation: 88-72=16
Exploring Operation: 88-45=43, Resulting Numbers: [72, 43]
Generated Node #0,0,4: 61:[72, 43] Operation: 88-45=43
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 61:[72, 43], Operations: ['43+2=45', '88-45=43']
Exploring Operation: 72*43=3096, Resulting Numbers: [3096]
3096,61 unequal: No Solution
Exploring Operation: 72+43=115, Resulting Numbers: [115]
115,61 unequal: No Solution
Exploring Operation: 72-43=29, Resulting Numbers: [29]
29,61 unequal: No Solution
No 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: 61:[88, 27], Operations: ['43+2=45', '72-45=27']
Exploring Operation: 88*27=2376, Resulting Numbers: [2376]
2376,61 unequal: No Solution
Exploring Operation: 88-27=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[72, 43, 2, 88], Operations: []
Exploring Operation: 43+2=45, Resulting Numbers: [72, 88, 45]
Generated Node #0,0: 61:[72, 88, 45] Operation: 43+2=45
Moving to Node #0,0
Current State: 61:[72, 88, 45], Operations: ['43+2=45']
Exploring Operation: 72-45=27, Resulting Numbers: [88, 27]
Generated Node #0,0,0: 61:[88, 27] Operation: 72-45=27
Moving to Node #0,0,0
Current State: 61:[88, 27], Operations: ['43+2=45', '72-45=27']
Exploring Operation: 88-27=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.965278 | hs_5 | mult_heuristic |
[
6,
2,
30,
72
] | 22 | [
"2*30=60",
"72+60=132",
"132/6=22"
] | Current State: 22:[6, 2, 30, 72], Operations: []
Exploring Operation: 2*30=60, Resulting Numbers: [6, 72, 60]
Generated Node #2: [6, 72, 60] from Operation: 2*30=60
Current State: 22:[6, 72, 60], Operations: ['2*30=60']
Exploring Operation: 72+60=132, Resulting Numbers: [6, 132]
Generated Node #3: [6, 132] from Operation: 72+60=132
Current State: 22:[6, 132], Operations: ['2*30=60', '72+60=132']
Exploring Operation: 132/6=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[6, 2, 30, 72], Operations: []
Exploring Operation: 72/6=12, Resulting Numbers: [2, 30, 12]
Generated Node #0,0: 22:[2, 30, 12] Operation: 72/6=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[2, 30, 12], Operations: ['72/6=12']
Exploring Operation: 30-12=18, Resulting Numbers: [2, 18]
Generated Node #0,0,0: 22:[2, 18] Operation: 30-12=18
Moving to Node #0,0,0
Current State: 22:[2, 18], Operations: ['72/6=12', '30-12=18']
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
48,
4,
37,
32
] | 48 | [
"37-4=33",
"33-32=1",
"48*1=48"
] | Current State: 48:[48, 4, 37, 32], Operations: []
Exploring Operation: 37-4=33, Resulting Numbers: [48, 32, 33]
Generated Node #2: [48, 32, 33] from Operation: 37-4=33
Current State: 48:[48, 32, 33], Operations: ['37-4=33']
Exploring Operation: 33-32=1, Resulting Numbers: [48, 1]
Generated Node #3: [48, 1] from Operation: 33-32=1
Current State: 48:[48, 1], Operations: ['37-4=33', '33-32=1']
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[48, 4, 37, 32], Operations: []
Exploring Operation: 48-32=16, Resulting Numbers: [4, 37, 16]
Generated Node #0,0: 48:[4, 37, 16] Operation: 48-32=16
Exploring Operation: 48-37=11, Resulting Numbers: [4, 32, 11]
Generated Node #0,1: 48:[4, 32, 11] Operation: 48-37=11
Exploring Operation: 32/4=8, Resulting Numbers: [48, 37, 8]
Generated Node #0,2: 48:[48, 37, 8] Operation: 32/4=8
Exploring Operation: 37-32=5, Resulting Numbers: [48, 4, 5]
Generated Node #0,3: 48:[48, 4, 5] Operation: 37-32=5
Moving to Node #0,3
Current State: 48:[48, 4, 5], Operations: ['37-32=5']
Exploring Operation: 4+5=9, Resulting Numbers: [48, 9]
Generated Node #0,3,0: 48:[48, 9] Operation: 4+5=9
Exploring Operation: 5-4=1, Resulting Numbers: [48, 1]
Generated Node #0,3,1: 48:[48, 1] Operation: 5-4=1
Exploring Operation: 4*5=20, Resulting Numbers: [48, 20]
Generated Node #0,3,2: 48:[48, 20] Operation: 4*5=20
Exploring Operation: 48/4=12, Resulting Numbers: [5, 12]
Generated Node #0,3,3: 48:[5, 12] Operation: 48/4=12
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 48:[48, 9], Operations: ['37-32=5', '4+5=9']
Exploring Operation: 48*9=432, Resulting Numbers: [432]
432,48 unequal: No Solution
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,48 unequal: No Solution
Exploring Operation: 48+9=57, Resulting Numbers: [57]
57,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 48:[48, 1], Operations: ['37-32=5', '5-4=1']
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[48, 4, 37, 32], Operations: []
Exploring Operation: 37-32=5, Resulting Numbers: [48, 4, 5]
Generated Node #0,3: 48:[48, 4, 5] Operation: 37-32=5
Moving to Node #0,3
Current State: 48:[48, 4, 5], Operations: ['37-32=5']
Exploring Operation: 5-4=1, Resulting Numbers: [48, 1]
Generated Node #0,3,1: 48:[48, 1] Operation: 5-4=1
Moving to Node #0,3,1
Current State: 48:[48, 1], Operations: ['37-32=5', '5-4=1']
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
55,
52,
35,
35
] | 37 | [
"55+52=107",
"35+35=70",
"107-70=37"
] | Current State: 37:[55, 52, 35, 35], Operations: []
Exploring Operation: 55+52=107, Resulting Numbers: [35, 35, 107]
Generated Node #2: [35, 35, 107] from Operation: 55+52=107
Current State: 37:[35, 35, 107], Operations: ['55+52=107']
Exploring Operation: 35+35=70, Resulting Numbers: [107, 70]
Generated Node #3: [107, 70] from Operation: 35+35=70
Current State: 37:[107, 70], Operations: ['55+52=107', '35+35=70']
Exploring Operation: 107-70=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[55, 52, 35, 35], Operations: []
Exploring Operation: 55-35=20, Resulting Numbers: [52, 35, 20]
Generated Node #0,0: 37:[52, 35, 20] Operation: 55-35=20
Exploring Operation: 55-52=3, Resulting Numbers: [35, 35, 3]
Generated Node #0,1: 37:[35, 35, 3] Operation: 55-52=3
Exploring Operation: 55-35=20, Resulting Numbers: [52, 35, 20]
Generated Node #0,2: 37:[52, 35, 20] Operation: 55-35=20
Moving to Node #0,0
Current State: 37:[52, 35, 20], Operations: ['55-35=20']
Exploring Operation: 52-20=32, Resulting Numbers: [35, 32]
Generated Node #0,0,0: 37:[35, 32] Operation: 52-20=32
Exploring Operation: 35+20=55, Resulting Numbers: [52, 55]
Generated Node #0,0,1: 37:[52, 55] Operation: 35+20=55
Exploring Operation: 52-35=17, Resulting Numbers: [20, 17]
Generated Node #0,0,2: 37:[20, 17] Operation: 52-35=17
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[35, 32], Operations: ['55-35=20', '52-20=32']
Exploring Operation: 35*32=1120, Resulting Numbers: [1120]
1120,37 unequal: No Solution
Exploring Operation: 35+32=67, Resulting Numbers: [67]
67,37 unequal: No Solution
Exploring Operation: 35-32=3, Resulting Numbers: [3]
3,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 37:[52, 55], Operations: ['55-35=20', '35+20=55']
Exploring Operation: 52+55=107, Resulting Numbers: [107]
107,37 unequal: No Solution
Exploring Operation: 55-52=3, Resulting Numbers: [3]
3,37 unequal: No Solution
Exploring Operation: 52*55=2860, Resulting Numbers: [2860]
2860,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 37:[20, 17], Operations: ['55-35=20', '52-35=17']
Exploring Operation: 20+17=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[55, 52, 35, 35], Operations: []
Exploring Operation: 55-35=20, Resulting Numbers: [52, 35, 20]
Generated Node #0,0: 37:[52, 35, 20] Operation: 55-35=20
Moving to Node #0,0
Current State: 37:[52, 35, 20], Operations: ['55-35=20']
Exploring Operation: 52-35=17, Resulting Numbers: [20, 17]
Generated Node #0,0,2: 37:[20, 17] Operation: 52-35=17
Moving to Node #0,0,2
Current State: 37:[20, 17], Operations: ['55-35=20', '52-35=17']
Exploring Operation: 20+17=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | sum_heuristic |
[
3,
48,
36,
64
] | 100 | [
"36/3=12",
"48+64=112",
"112-12=100"
] | Current State: 100:[3, 48, 36, 64], Operations: []
Exploring Operation: 36/3=12, Resulting Numbers: [48, 64, 12]
Generated Node #2: [48, 64, 12] from Operation: 36/3=12
Current State: 100:[48, 64, 12], Operations: ['36/3=12']
Exploring Operation: 48+64=112, Resulting Numbers: [12, 112]
Generated Node #3: [12, 112] from Operation: 48+64=112
Current State: 100:[12, 112], Operations: ['36/3=12', '48+64=112']
Exploring Operation: 112-12=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[3, 48, 36, 64], Operations: []
Exploring Operation: 48-36=12, Resulting Numbers: [3, 64, 12]
Generated Node #0,0: 100:[3, 64, 12] Operation: 48-36=12
Exploring Operation: 64-36=28, Resulting Numbers: [3, 48, 28]
Generated Node #0,1: 100:[3, 48, 28] Operation: 64-36=28
Exploring Operation: 36+64=100, Resulting Numbers: [3, 48, 100]
Generated Node #0,2: 100:[3, 48, 100] Operation: 36+64=100
Exploring Operation: 64-48=16, Resulting Numbers: [3, 36, 16]
Generated Node #0,3: 100:[3, 36, 16] Operation: 64-48=16
Moving to Node #0,2
Current State: 100:[3, 48, 100], Operations: ['36+64=100']
Exploring Operation: 48/3=16, Resulting Numbers: [100, 16]
Generated Node #0,2,0: 100:[100, 16] Operation: 48/3=16
Exploring Operation: 100-48=52, Resulting Numbers: [3, 52]
Generated Node #0,2,1: 100:[3, 52] Operation: 100-48=52
Exploring Operation: 48-3=45, Resulting Numbers: [100, 45]
Generated Node #0,2,2: 100:[100, 45] Operation: 48-3=45
Exploring Operation: 3+48=51, Resulting Numbers: [100, 51]
Generated Node #0,2,3: 100:[100, 51] Operation: 3+48=51
Moving to Node #0,1
Current State: 100:[3, 48, 28], Operations: ['64-36=28']
Exploring Operation: 3+48=51, Resulting Numbers: [28, 51]
Generated Node #0,1,0: 100:[28, 51] Operation: 3+48=51
Exploring Operation: 48/3=16, Resulting Numbers: [28, 16]
Generated Node #0,1,1: 100:[28, 16] Operation: 48/3=16
Exploring Operation: 48-28=20, Resulting Numbers: [3, 20]
Generated Node #0,1,2: 100:[3, 20] Operation: 48-28=20
Exploring Operation: 28-3=25, Resulting Numbers: [48, 25]
Generated Node #0,1,3: 100:[48, 25] Operation: 28-3=25
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 100:[3, 20], Operations: ['64-36=28', '48-28=20']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Exploring Operation: 3+20=23, Resulting Numbers: [23]
23,100 unequal: No Solution
Exploring Operation: 3*20=60, Resulting Numbers: [60]
60,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 100:[48, 25], Operations: ['64-36=28', '28-3=25']
Exploring Operation: 48*25=1200, Resulting Numbers: [1200]
1200,100 unequal: No Solution
Exploring Operation: 48-25=23, Resulting Numbers: [23]
23,100 unequal: No Solution
Exploring Operation: 48+25=73, Resulting Numbers: [73]
73,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 100:[28, 51], Operations: ['64-36=28', '3+48=51']
Exploring Operation: 51-28=23, Resulting Numbers: [23]
23,100 unequal: No Solution
Exploring Operation: 28*51=1428, Resulting Numbers: [1428]
1428,100 unequal: No Solution
Exploring Operation: 28+51=79, Resulting Numbers: [79]
79,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 100:[28, 16], Operations: ['64-36=28', '48/3=16']
Exploring Operation: 28-16=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 28*16=448, Resulting Numbers: [448]
448,100 unequal: No Solution
Exploring Operation: 28+16=44, Resulting Numbers: [44]
44,100 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: 100:[3, 36, 16], Operations: ['64-48=16']
Exploring Operation: 3*36=108, Resulting Numbers: [16, 108]
Generated Node #0,3,0: 100:[16, 108] Operation: 3*36=108
Exploring Operation: 36-16=20, Resulting Numbers: [3, 20]
Generated Node #0,3,1: 100:[3, 20] Operation: 36-16=20
Exploring Operation: 36/3=12, Resulting Numbers: [16, 12]
Generated Node #0,3,2: 100:[16, 12] Operation: 36/3=12
Exploring Operation: 36+16=52, Resulting Numbers: [3, 52]
Generated Node #0,3,3: 100:[3, 52] Operation: 36+16=52
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 100:[3, 20], Operations: ['64-48=16', '36-16=20']
Exploring Operation: 3*20=60, Resulting Numbers: [60]
60,100 unequal: No Solution
Exploring Operation: 3+20=23, Resulting Numbers: [23]
23,100 unequal: No Solution
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 100:[3, 52], Operations: ['64-48=16', '36+16=52']
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,100 unequal: No Solution
Exploring Operation: 3*52=156, Resulting Numbers: [156]
156,100 unequal: No Solution
Exploring Operation: 3+52=55, Resulting Numbers: [55]
55,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 100:[16, 12], Operations: ['64-48=16', '36/3=12']
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Exploring Operation: 16+12=28, Resulting Numbers: [28]
28,100 unequal: No Solution
Exploring Operation: 16*12=192, Resulting Numbers: [192]
192,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 100:[16, 108], Operations: ['64-48=16', '3*36=108']
Exploring Operation: 16*108=1728, Resulting Numbers: [1728]
1728,100 unequal: No Solution
Exploring Operation: 16+108=124, Resulting Numbers: [124]
124,100 unequal: No Solution
Exploring Operation: 108-16=92, Resulting Numbers: [92]
92,100 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: 100:[3, 64, 12], Operations: ['48-36=12']
Exploring Operation: 12/3=4, Resulting Numbers: [64, 4]
Generated Node #0,0,0: 100:[64, 4] Operation: 12/3=4
Exploring Operation: 12-3=9, Resulting Numbers: [64, 9]
Generated Node #0,0,1: 100:[64, 9] Operation: 12-3=9
Exploring Operation: 64-3=61, Resulting Numbers: [12, 61]
Generated Node #0,0,2: 100:[12, 61] Operation: 64-3=61
Exploring Operation: 64-12=52, Resulting Numbers: [3, 52]
Generated Node #0,0,3: 100:[3, 52] Operation: 64-12=52
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 100:[3, 52], Operations: ['48-36=12', '64-12=52']
Exploring Operation: 3+52=55, Resulting Numbers: [55]
55,100 unequal: No Solution
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,100 unequal: No Solution
Exploring Operation: 3*52=156, Resulting Numbers: [156]
156,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 100:[12, 61], Operations: ['48-36=12', '64-3=61']
Exploring Operation: 12*61=732, Resulting Numbers: [732]
732,100 unequal: No Solution
Exploring Operation: 61-12=49, Resulting Numbers: [49]
49,100 unequal: No Solution
Exploring Operation: 12+61=73, Resulting Numbers: [73]
73,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 100:[64, 4], Operations: ['48-36=12', '12/3=4']
Exploring Operation: 64*4=256, Resulting Numbers: [256]
256,100 unequal: No Solution
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,100 unequal: No Solution
Exploring Operation: 64-4=60, Resulting Numbers: [60]
60,100 unequal: No Solution
Exploring Operation: 64+4=68, Resulting Numbers: [68]
68,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 100:[64, 9], Operations: ['48-36=12', '12-3=9']
Exploring Operation: 64+9=73, Resulting Numbers: [73]
73,100 unequal: No Solution
Exploring Operation: 64*9=576, Resulting Numbers: [576]
576,100 unequal: No Solution
Exploring Operation: 64-9=55, Resulting Numbers: [55]
55,100 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: 100:[100, 51], Operations: ['36+64=100', '3+48=51']
Exploring Operation: 100+51=151, Resulting Numbers: [151]
151,100 unequal: No Solution
Exploring Operation: 100*51=5100, Resulting Numbers: [5100]
5100,100 unequal: No Solution
Exploring Operation: 100-51=49, Resulting Numbers: [49]
49,100 unequal: No Solution
Moving to Node #0,2,1
Current State: 100:[3, 52], Operations: ['36+64=100', '100-48=52']
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,100 unequal: No Solution
Exploring Operation: 3+52=55, Resulting Numbers: [55]
55,100 unequal: No Solution
Exploring Operation: 3*52=156, Resulting Numbers: [156]
156,100 unequal: No Solution
Moving to Node #0,2,0
Current State: 100:[100, 16], Operations: ['36+64=100', '48/3=16']
Exploring Operation: 100+16=116, Resulting Numbers: [116]
116,100 unequal: No Solution
Exploring Operation: 100-16=84, Resulting Numbers: [84]
84,100 unequal: No Solution
Exploring Operation: 100*16=1600, Resulting Numbers: [1600]
1600,100 unequal: No Solution
Moving to Node #0,2,2
Current State: 100:[100, 45], Operations: ['36+64=100', '48-3=45']
Exploring Operation: 100-45=55, Resulting Numbers: [55]
55,100 unequal: No Solution
Exploring Operation: 100+45=145, Resulting Numbers: [145]
145,100 unequal: No Solution
Exploring Operation: 100*45=4500, Resulting Numbers: [4500]
4500,100 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
87,
83,
58,
21
] | 91 | [
"87+83=170",
"58+21=79",
"170-79=91"
] | Current State: 91:[87, 83, 58, 21], Operations: []
Exploring Operation: 87+83=170, Resulting Numbers: [58, 21, 170]
Generated Node #2: [58, 21, 170] from Operation: 87+83=170
Current State: 91:[58, 21, 170], Operations: ['87+83=170']
Exploring Operation: 58+21=79, Resulting Numbers: [170, 79]
Generated Node #3: [170, 79] from Operation: 58+21=79
Current State: 91:[170, 79], Operations: ['87+83=170', '58+21=79']
Exploring Operation: 170-79=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[87, 83, 58, 21], Operations: []
Exploring Operation: 58+21=79, Resulting Numbers: [87, 83, 79]
Generated Node #0,0: 91:[87, 83, 79] Operation: 58+21=79
Exploring Operation: 83-58=25, Resulting Numbers: [87, 21, 25]
Generated Node #0,1: 91:[87, 21, 25] Operation: 83-58=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[87, 83, 79], Operations: ['58+21=79']
Exploring Operation: 83-79=4, Resulting Numbers: [87, 4]
Generated Node #0,0,0: 91:[87, 4] Operation: 83-79=4
Exploring Operation: 87-79=8, Resulting Numbers: [83, 8]
Generated Node #0,0,1: 91:[83, 8] Operation: 87-79=8
Moving to Node #0,0,0
Current State: 91:[87, 4], Operations: ['58+21=79', '83-79=4']
Exploring Operation: 87+4=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[87, 83, 58, 21], Operations: []
Exploring Operation: 58+21=79, Resulting Numbers: [87, 83, 79]
Generated Node #0,0: 91:[87, 83, 79] Operation: 58+21=79
Moving to Node #0,0
Current State: 91:[87, 83, 79], Operations: ['58+21=79']
Exploring Operation: 83-79=4, Resulting Numbers: [87, 4]
Generated Node #0,0,0: 91:[87, 4] Operation: 83-79=4
Moving to Node #0,0,0
Current State: 91:[87, 4], Operations: ['58+21=79', '83-79=4']
Exploring Operation: 87+4=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
28,
90,
22,
9
] | 87 | [
"28+90=118",
"22+9=31",
"118-31=87"
] | Current State: 87:[28, 90, 22, 9], Operations: []
Exploring Operation: 28+90=118, Resulting Numbers: [22, 9, 118]
Generated Node #2: [22, 9, 118] from Operation: 28+90=118
Current State: 87:[22, 9, 118], Operations: ['28+90=118']
Exploring Operation: 22+9=31, Resulting Numbers: [118, 31]
Generated Node #3: [118, 31] from Operation: 22+9=31
Current State: 87:[118, 31], Operations: ['28+90=118', '22+9=31']
Exploring Operation: 118-31=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[28, 90, 22, 9], Operations: []
Exploring Operation: 22+9=31, Resulting Numbers: [28, 90, 31]
Generated Node #0,0: 87:[28, 90, 31] Operation: 22+9=31
Exploring Operation: 28-22=6, Resulting Numbers: [90, 9, 6]
Generated Node #0,1: 87:[90, 9, 6] Operation: 28-22=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[28, 90, 31], Operations: ['22+9=31']
Exploring Operation: 31-28=3, Resulting Numbers: [90, 3]
Generated Node #0,0,0: 87:[90, 3] Operation: 31-28=3
Exploring Operation: 90-28=62, Resulting Numbers: [31, 62]
Generated Node #0,0,1: 87:[31, 62] Operation: 90-28=62
Moving to Node #0,0,0
Current State: 87:[90, 3], Operations: ['22+9=31', '31-28=3']
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[28, 90, 22, 9], Operations: []
Exploring Operation: 22+9=31, Resulting Numbers: [28, 90, 31]
Generated Node #0,0: 87:[28, 90, 31] Operation: 22+9=31
Moving to Node #0,0
Current State: 87:[28, 90, 31], Operations: ['22+9=31']
Exploring Operation: 31-28=3, Resulting Numbers: [90, 3]
Generated Node #0,0,0: 87:[90, 3] Operation: 31-28=3
Moving to Node #0,0,0
Current State: 87:[90, 3], Operations: ['22+9=31', '31-28=3']
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
58,
20,
52,
11
] | 25 | [
"58-20=38",
"52+11=63",
"63-38=25"
] | Current State: 25:[58, 20, 52, 11], Operations: []
Exploring Operation: 58-20=38, Resulting Numbers: [52, 11, 38]
Generated Node #2: [52, 11, 38] from Operation: 58-20=38
Current State: 25:[52, 11, 38], Operations: ['58-20=38']
Exploring Operation: 52+11=63, Resulting Numbers: [38, 63]
Generated Node #3: [38, 63] from Operation: 52+11=63
Current State: 25:[38, 63], Operations: ['58-20=38', '52+11=63']
Exploring Operation: 63-38=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[58, 20, 52, 11], Operations: []
Exploring Operation: 58-52=6, Resulting Numbers: [20, 11, 6]
Generated Node #0,0: 25:[20, 11, 6] Operation: 58-52=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[20, 11, 6], Operations: ['58-52=6']
Exploring Operation: 20-11=9, Resulting Numbers: [6, 9]
Generated Node #0,0,0: 25:[6, 9] Operation: 20-11=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 25:[6, 9], Operations: ['58-52=6', '20-11=9']
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,25 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 |
[
3,
54,
35,
20
] | 37 | [
"54/3=18",
"35+20=55",
"55-18=37"
] | Current State: 37:[3, 54, 35, 20], Operations: []
Exploring Operation: 54/3=18, Resulting Numbers: [35, 20, 18]
Generated Node #2: [35, 20, 18] from Operation: 54/3=18
Current State: 37:[35, 20, 18], Operations: ['54/3=18']
Exploring Operation: 35+20=55, Resulting Numbers: [18, 55]
Generated Node #3: [18, 55] from Operation: 35+20=55
Current State: 37:[18, 55], Operations: ['54/3=18', '35+20=55']
Exploring Operation: 55-18=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[3, 54, 35, 20], Operations: []
Exploring Operation: 54-3=51, Resulting Numbers: [35, 20, 51]
Generated Node #0,0: 37:[35, 20, 51] Operation: 54-3=51
Exploring Operation: 3+54=57, Resulting Numbers: [35, 20, 57]
Generated Node #0,1: 37:[35, 20, 57] Operation: 3+54=57
Exploring Operation: 3+35=38, Resulting Numbers: [54, 20, 38]
Generated Node #0,2: 37:[54, 20, 38] Operation: 3+35=38
Exploring Operation: 54/3=18, Resulting Numbers: [35, 20, 18]
Generated Node #0,3: 37:[35, 20, 18] Operation: 54/3=18
Exploring Operation: 3+20=23, Resulting Numbers: [54, 35, 23]
Generated Node #0,4: 37:[54, 35, 23] Operation: 3+20=23
Moving to Node #0,0
Current State: 37:[35, 20, 51], Operations: ['54-3=51']
Exploring Operation: 35-20=15, Resulting Numbers: [51, 15]
Generated Node #0,0,0: 37:[51, 15] Operation: 35-20=15
Exploring Operation: 51-35=16, Resulting Numbers: [20, 16]
Generated Node #0,0,1: 37:[20, 16] Operation: 51-35=16
Exploring Operation: 35+20=55, Resulting Numbers: [51, 55]
Generated Node #0,0,2: 37:[51, 55] Operation: 35+20=55
Exploring Operation: 51-20=31, Resulting Numbers: [35, 31]
Generated Node #0,0,3: 37:[35, 31] Operation: 51-20=31
Exploring Operation: 20+51=71, Resulting Numbers: [35, 71]
Generated Node #0,0,4: 37:[35, 71] Operation: 20+51=71
Moving to Node #0,4
Current State: 37:[54, 35, 23], Operations: ['3+20=23']
Exploring Operation: 54-23=31, Resulting Numbers: [35, 31]
Generated Node #0,4,0: 37:[35, 31] Operation: 54-23=31
Exploring Operation: 35+23=58, Resulting Numbers: [54, 58]
Generated Node #0,4,1: 37:[54, 58] Operation: 35+23=58
Exploring Operation: 54+23=77, Resulting Numbers: [35, 77]
Generated Node #0,4,2: 37:[35, 77] Operation: 54+23=77
Exploring Operation: 54-35=19, Resulting Numbers: [23, 19]
Generated Node #0,4,3: 37:[23, 19] Operation: 54-35=19
Exploring Operation: 35-23=12, Resulting Numbers: [54, 12]
Generated Node #0,4,4: 37:[54, 12] Operation: 35-23=12
Moving to Node #0,2
Current State: 37:[54, 20, 38], Operations: ['3+35=38']
Exploring Operation: 54-38=16, Resulting Numbers: [20, 16]
Generated Node #0,2,0: 37:[20, 16] Operation: 54-38=16
Exploring Operation: 54-20=34, Resulting Numbers: [38, 34]
Generated Node #0,2,1: 37:[38, 34] Operation: 54-20=34
Exploring Operation: 38-20=18, Resulting Numbers: [54, 18]
Generated Node #0,2,2: 37:[54, 18] Operation: 38-20=18
Exploring Operation: 54+20=74, Resulting Numbers: [38, 74]
Generated Node #0,2,3: 37:[38, 74] Operation: 54+20=74
Exploring Operation: 20+38=58, Resulting Numbers: [54, 58]
Generated Node #0,2,4: 37:[54, 58] Operation: 20+38=58
Moving to Node #0,3
Current State: 37:[35, 20, 18], Operations: ['54/3=18']
Exploring Operation: 20-18=2, Resulting Numbers: [35, 2]
Generated Node #0,3,0: 37:[35, 2] Operation: 20-18=2
Exploring Operation: 20+18=38, Resulting Numbers: [35, 38]
Generated Node #0,3,1: 37:[35, 38] Operation: 20+18=38
Exploring Operation: 35+20=55, Resulting Numbers: [18, 55]
Generated Node #0,3,2: 37:[18, 55] Operation: 35+20=55
Exploring Operation: 35-18=17, Resulting Numbers: [20, 17]
Generated Node #0,3,3: 37:[20, 17] Operation: 35-18=17
Exploring Operation: 35+18=53, Resulting Numbers: [20, 53]
Generated Node #0,3,4: 37:[20, 53] Operation: 35+18=53
Moving to Node #0,1
Current State: 37:[35, 20, 57], Operations: ['3+54=57']
Exploring Operation: 35+20=55, Resulting Numbers: [57, 55]
Generated Node #0,1,0: 37:[57, 55] Operation: 35+20=55
Exploring Operation: 57-35=22, Resulting Numbers: [20, 22]
Generated Node #0,1,1: 37:[20, 22] Operation: 57-35=22
Exploring Operation: 57-20=37, Resulting Numbers: [35, 37]
Generated Node #0,1,2: 37:[35, 37] Operation: 57-20=37
Exploring Operation: 20+57=77, Resulting Numbers: [35, 77]
Generated Node #0,1,3: 37:[35, 77] Operation: 20+57=77
Exploring Operation: 35-20=15, Resulting Numbers: [57, 15]
Generated Node #0,1,4: 37:[57, 15] Operation: 35-20=15
Moving to Node #0,1,2
Current State: 37:[35, 37], Operations: ['3+54=57', '57-20=37']
Exploring Operation: 35+37=72, Resulting Numbers: [72]
72,37 unequal: No Solution
Exploring Operation: 37-35=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 35*37=1295, Resulting Numbers: [1295]
1295,37 unequal: No Solution
Moving to Node #0,3,1
Current State: 37:[35, 38], Operations: ['54/3=18', '20+18=38']
Exploring Operation: 38-35=3, Resulting Numbers: [3]
3,37 unequal: No Solution
Exploring Operation: 35*38=1330, Resulting Numbers: [1330]
1330,37 unequal: No Solution
Exploring Operation: 35+38=73, Resulting Numbers: [73]
73,37 unequal: No Solution
Moving to Node #0,2,1
Current State: 37:[38, 34], Operations: ['3+35=38', '54-20=34']
Exploring Operation: 38+34=72, Resulting Numbers: [72]
72,37 unequal: No Solution
Exploring Operation: 38*34=1292, Resulting Numbers: [1292]
1292,37 unequal: No Solution
Exploring Operation: 38-34=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Moving to Node #0,4,0
Current State: 37:[35, 31], Operations: ['3+20=23', '54-23=31']
Exploring Operation: 35+31=66, Resulting Numbers: [66]
66,37 unequal: No Solution
Exploring Operation: 35*31=1085, Resulting Numbers: [1085]
1085,37 unequal: No Solution
Exploring Operation: 35-31=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Moving to Node #0,0,3
Current State: 37:[35, 31], Operations: ['54-3=51', '51-20=31']
Exploring Operation: 35*31=1085, Resulting Numbers: [1085]
1085,37 unequal: No Solution
Exploring Operation: 35-31=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Exploring Operation: 35+31=66, Resulting Numbers: [66]
66,37 unequal: No Solution
Moving to Node #0,4,3
Current State: 37:[23, 19], Operations: ['3+20=23', '54-35=19']
Exploring Operation: 23+19=42, Resulting Numbers: [42]
42,37 unequal: No Solution
Exploring Operation: 23*19=437, Resulting Numbers: [437]
437,37 unequal: No Solution
Exploring Operation: 23-19=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[20, 22], Operations: ['3+54=57', '57-35=22']
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 20*22=440, Resulting Numbers: [440]
440,37 unequal: No Solution
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,37 unequal: No Solution
Moving to Node #0,0,2
Current State: 37:[51, 55], Operations: ['54-3=51', '35+20=55']
Exploring Operation: 51+55=106, Resulting Numbers: [106]
106,37 unequal: No Solution
Exploring Operation: 51*55=2805, Resulting Numbers: [2805]
2805,37 unequal: No Solution
Exploring Operation: 55-51=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Moving to Node #0,3,4
Current State: 37:[20, 53], Operations: ['54/3=18', '35+18=53']
Exploring Operation: 20*53=1060, Resulting Numbers: [1060]
1060,37 unequal: No Solution
Exploring Operation: 53-20=33, Resulting Numbers: [33]
33,37 unequal: No Solution
Exploring Operation: 20+53=73, Resulting Numbers: [73]
73,37 unequal: No Solution
Moving to Node #0,0,0
Current State: 37:[51, 15], Operations: ['54-3=51', '35-20=15']
Exploring Operation: 51-15=36, Resulting Numbers: [36]
36,37 unequal: No Solution
Exploring Operation: 51+15=66, Resulting Numbers: [66]
66,37 unequal: No Solution
Exploring Operation: 51*15=765, Resulting Numbers: [765]
765,37 unequal: No Solution
Moving to Node #0,2,2
Current State: 37:[54, 18], Operations: ['3+35=38', '38-20=18']
Exploring Operation: 54-18=36, Resulting Numbers: [36]
36,37 unequal: No Solution
Exploring Operation: 54/18=3, Resulting Numbers: [3]
3,37 unequal: No Solution
Exploring Operation: 54*18=972, Resulting Numbers: [972]
972,37 unequal: No Solution
Exploring Operation: 54+18=72, Resulting Numbers: [72]
72,37 unequal: No Solution
Moving to Node #0,0,4
Current State: 37:[35, 71], Operations: ['54-3=51', '20+51=71']
Exploring Operation: 35+71=106, Resulting Numbers: [106]
106,37 unequal: No Solution
Exploring Operation: 71-35=36, Resulting Numbers: [36]
36,37 unequal: No Solution
Exploring Operation: 35*71=2485, Resulting Numbers: [2485]
2485,37 unequal: No Solution
Moving to Node #0,3,3
Current State: 37:[20, 17], Operations: ['54/3=18', '35-18=17']
Exploring Operation: 20+17=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[3, 54, 35, 20], Operations: []
Exploring Operation: 54/3=18, Resulting Numbers: [35, 20, 18]
Generated Node #0,3: 37:[35, 20, 18] Operation: 54/3=18
Moving to Node #0,3
Current State: 37:[35, 20, 18], Operations: ['54/3=18']
Exploring Operation: 35-18=17, Resulting Numbers: [20, 17]
Generated Node #0,3,3: 37:[20, 17] Operation: 35-18=17
Moving to Node #0,3,3
Current State: 37:[20, 17], Operations: ['54/3=18', '35-18=17']
Exploring Operation: 20+17=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 0.9375 | hs_5 | sum_heuristic |
[
87,
91,
54,
30
] | 94 | [
"87+91=178",
"54+30=84",
"178-84=94"
] | Current State: 94:[87, 91, 54, 30], Operations: []
Exploring Operation: 87+91=178, Resulting Numbers: [54, 30, 178]
Generated Node #2: [54, 30, 178] from Operation: 87+91=178
Current State: 94:[54, 30, 178], Operations: ['87+91=178']
Exploring Operation: 54+30=84, Resulting Numbers: [178, 84]
Generated Node #3: [178, 84] from Operation: 54+30=84
Current State: 94:[178, 84], Operations: ['87+91=178', '54+30=84']
Exploring Operation: 178-84=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[87, 91, 54, 30], Operations: []
Exploring Operation: 54-30=24, Resulting Numbers: [87, 91, 24]
Generated Node #0,0: 94:[87, 91, 24] Operation: 54-30=24
Exploring Operation: 91-30=61, Resulting Numbers: [87, 54, 61]
Generated Node #0,1: 94:[87, 54, 61] Operation: 91-30=61
Exploring Operation: 91-87=4, Resulting Numbers: [54, 30, 4]
Generated Node #0,2: 94:[54, 30, 4] Operation: 91-87=4
Exploring Operation: 87-30=57, Resulting Numbers: [91, 54, 57]
Generated Node #0,3: 94:[91, 54, 57] Operation: 87-30=57
Exploring Operation: 54+30=84, Resulting Numbers: [87, 91, 84]
Generated Node #0,4: 94:[87, 91, 84] Operation: 54+30=84
Start Sub Search at level 1: Moving to Node #0,3
Current State: 94:[91, 54, 57], Operations: ['87-30=57']
Exploring Operation: 91-54=37, Resulting Numbers: [57, 37]
Generated Node #0,3,0: 94:[57, 37] Operation: 91-54=37
Exploring Operation: 54+57=111, Resulting Numbers: [91, 111]
Generated Node #0,3,1: 94:[91, 111] Operation: 54+57=111
Exploring Operation: 91-57=34, Resulting Numbers: [54, 34]
Generated Node #0,3,2: 94:[54, 34] Operation: 91-57=34
Exploring Operation: 91+54=145, Resulting Numbers: [57, 145]
Generated Node #0,3,3: 94:[57, 145] Operation: 91+54=145
Exploring Operation: 57-54=3, Resulting Numbers: [91, 3]
Generated Node #0,3,4: 94:[91, 3] Operation: 57-54=3
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 94:[91, 3], Operations: ['87-30=57', '57-54=3']
Exploring Operation: 91*3=273, Resulting Numbers: [273]
273,94 unequal: No Solution
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,94 unequal: No Solution
Exploring Operation: 91+3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[87, 91, 54, 30], Operations: []
Exploring Operation: 87-30=57, Resulting Numbers: [91, 54, 57]
Generated Node #0,3: 94:[91, 54, 57] Operation: 87-30=57
Moving to Node #0,3
Current State: 94:[91, 54, 57], Operations: ['87-30=57']
Exploring Operation: 57-54=3, Resulting Numbers: [91, 3]
Generated Node #0,3,4: 94:[91, 3] Operation: 57-54=3
Moving to Node #0,3,4
Current State: 94:[91, 3], Operations: ['87-30=57', '57-54=3']
Exploring Operation: 91+3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
9,
33,
12,
41
] | 24 | [
"12-9=3",
"41-33=8",
"3*8=24"
] | Current State: 24:[9, 33, 12, 41], Operations: []
Exploring Operation: 12-9=3, Resulting Numbers: [33, 41, 3]
Generated Node #2: [33, 41, 3] from Operation: 12-9=3
Current State: 24:[33, 41, 3], Operations: ['12-9=3']
Exploring Operation: 41-33=8, Resulting Numbers: [3, 8]
Generated Node #3: [3, 8] from Operation: 41-33=8
Current State: 24:[3, 8], Operations: ['12-9=3', '41-33=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[9, 33, 12, 41], Operations: []
Exploring Operation: 41-12=29, Resulting Numbers: [9, 33, 29]
Generated Node #0,0: 24:[9, 33, 29] Operation: 41-12=29
Exploring Operation: 41-33=8, Resulting Numbers: [9, 12, 8]
Generated Node #0,1: 24:[9, 12, 8] Operation: 41-33=8
Exploring Operation: 33-9=24, Resulting Numbers: [12, 41, 24]
Generated Node #0,2: 24:[12, 41, 24] Operation: 33-9=24
Exploring Operation: 41-9=32, Resulting Numbers: [33, 12, 32]
Generated Node #0,3: 24:[33, 12, 32] Operation: 41-9=32
Moving to Node #0,1
Current State: 24:[9, 12, 8], Operations: ['41-33=8']
Exploring Operation: 12-9=3, Resulting Numbers: [8, 3]
Generated Node #0,1,0: 24:[8, 3] Operation: 12-9=3
Exploring Operation: 9+12=21, Resulting Numbers: [8, 21]
Generated Node #0,1,1: 24:[8, 21] Operation: 9+12=21
Exploring Operation: 9-8=1, Resulting Numbers: [12, 1]
Generated Node #0,1,2: 24:[12, 1] Operation: 9-8=1
Exploring Operation: 12-8=4, Resulting Numbers: [9, 4]
Generated Node #0,1,3: 24:[9, 4] Operation: 12-8=4
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 24:[8, 3], Operations: ['41-33=8', '12-9=3']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,24 unequal: No Solution
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[9, 33, 12, 41], Operations: []
Exploring Operation: 41-33=8, Resulting Numbers: [9, 12, 8]
Generated Node #0,1: 24:[9, 12, 8] Operation: 41-33=8
Moving to Node #0,1
Current State: 24:[9, 12, 8], Operations: ['41-33=8']
Exploring Operation: 12-9=3, Resulting Numbers: [8, 3]
Generated Node #0,1,0: 24:[8, 3] Operation: 12-9=3
Moving to Node #0,1,0
Current State: 24:[8, 3], Operations: ['41-33=8', '12-9=3']
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
66,
30,
18,
12
] | 65 | [
"30-18=12",
"12/12=1",
"66-1=65"
] | Current State: 65:[66, 30, 18, 12], Operations: []
Exploring Operation: 30-18=12, Resulting Numbers: [66, 12, 12]
Generated Node #2: [66, 12, 12] from Operation: 30-18=12
Current State: 65:[66, 12, 12], Operations: ['30-18=12']
Exploring Operation: 12/12=1, Resulting Numbers: [66, 1]
Generated Node #3: [66, 1] from Operation: 12/12=1
Current State: 65:[66, 1], Operations: ['30-18=12', '12/12=1']
Exploring Operation: 66-1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[66, 30, 18, 12], Operations: []
Exploring Operation: 18-12=6, Resulting Numbers: [66, 30, 6]
Generated Node #0,0: 65:[66, 30, 6] Operation: 18-12=6
Exploring Operation: 30-12=18, Resulting Numbers: [66, 18, 18]
Generated Node #0,1: 65:[66, 18, 18] Operation: 30-12=18
Exploring Operation: 30-18=12, Resulting Numbers: [66, 12, 12]
Generated Node #0,2: 65:[66, 12, 12] Operation: 30-18=12
Exploring Operation: 30+18=48, Resulting Numbers: [66, 12, 48]
Generated Node #0,3: 65:[66, 12, 48] Operation: 30+18=48
Start Sub Search at level 1: Moving to Node #0,2
Current State: 65:[66, 12, 12], Operations: ['30-18=12']
Exploring Operation: 12/12=1, Resulting Numbers: [66, 1]
Generated Node #0,2,0: 65:[66, 1] Operation: 12/12=1
Exploring Operation: 66-12=54, Resulting Numbers: [12, 54]
Generated Node #0,2,1: 65:[12, 54] Operation: 66-12=54
Exploring Operation: 12-12=0, Resulting Numbers: [66, 0]
Generated Node #0,2,2: 65:[66, 0] Operation: 12-12=0
Exploring Operation: 66-12=54, Resulting Numbers: [12, 54]
Generated Node #0,2,3: 65:[12, 54] Operation: 66-12=54
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 65:[66, 1], Operations: ['30-18=12', '12/12=1']
Exploring Operation: 66*1=66, Resulting Numbers: [66]
66,65 unequal: No Solution
Exploring Operation: 66-1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[66, 30, 18, 12], Operations: []
Exploring Operation: 30-18=12, Resulting Numbers: [66, 12, 12]
Generated Node #0,2: 65:[66, 12, 12] Operation: 30-18=12
Moving to Node #0,2
Current State: 65:[66, 12, 12], Operations: ['30-18=12']
Exploring Operation: 12/12=1, Resulting Numbers: [66, 1]
Generated Node #0,2,0: 65:[66, 1] Operation: 12/12=1
Moving to Node #0,2,0
Current State: 65:[66, 1], Operations: ['30-18=12', '12/12=1']
Exploring Operation: 66-1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
90,
44,
11,
99
] | 64 | [
"90-44=46",
"11+99=110",
"110-46=64"
] | Current State: 64:[90, 44, 11, 99], Operations: []
Exploring Operation: 90-44=46, Resulting Numbers: [11, 99, 46]
Generated Node #2: [11, 99, 46] from Operation: 90-44=46
Current State: 64:[11, 99, 46], Operations: ['90-44=46']
Exploring Operation: 11+99=110, Resulting Numbers: [46, 110]
Generated Node #3: [46, 110] from Operation: 11+99=110
Current State: 64:[46, 110], Operations: ['90-44=46', '11+99=110']
Exploring Operation: 110-46=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[90, 44, 11, 99], Operations: []
Exploring Operation: 99/11=9, Resulting Numbers: [90, 44, 9]
Generated Node #0,0: 64:[90, 44, 9] Operation: 99/11=9
Exploring Operation: 99-44=55, Resulting Numbers: [90, 11, 55]
Generated Node #0,1: 64:[90, 11, 55] Operation: 99-44=55
Exploring Operation: 99-90=9, Resulting Numbers: [44, 11, 9]
Generated Node #0,2: 64:[44, 11, 9] Operation: 99-90=9
Exploring Operation: 90-44=46, Resulting Numbers: [11, 99, 46]
Generated Node #0,3: 64:[11, 99, 46] Operation: 90-44=46
Start Sub Search at level 1: Moving to Node #0,2
Current State: 64:[44, 11, 9], Operations: ['99-90=9']
Exploring Operation: 44+11=55, Resulting Numbers: [9, 55]
Generated Node #0,2,0: 64:[9, 55] Operation: 44+11=55
Exploring Operation: 44/11=4, Resulting Numbers: [9, 4]
Generated Node #0,2,1: 64:[9, 4] Operation: 44/11=4
Exploring Operation: 44-11=33, Resulting Numbers: [9, 33]
Generated Node #0,2,2: 64:[9, 33] Operation: 44-11=33
Exploring Operation: 44-9=35, Resulting Numbers: [11, 35]
Generated Node #0,2,3: 64:[11, 35] Operation: 44-9=35
Moving to Node #0,2,1
Current State: 64:[9, 4], Operations: ['99-90=9', '44/11=4']
Exploring Operation: 9*4=36, Resulting Numbers: [36]
36,64 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,64 unequal: No Solution
Exploring Operation: 9+4=13, Resulting Numbers: [13]
13,64 unequal: No Solution
Moving to Node #0,2,2
Current State: 64:[9, 33], Operations: ['99-90=9', '44-11=33']
Exploring Operation: 9+33=42, Resulting Numbers: [42]
42,64 unequal: No Solution
Exploring Operation: 9*33=297, Resulting Numbers: [297]
297,64 unequal: No Solution
Exploring Operation: 33-9=24, Resulting Numbers: [24]
24,64 unequal: No Solution
Moving to Node #0,2,3
Current State: 64:[11, 35], Operations: ['99-90=9', '44-9=35']
Exploring Operation: 35-11=24, Resulting Numbers: [24]
24,64 unequal: No Solution
Exploring Operation: 11*35=385, Resulting Numbers: [385]
385,64 unequal: No Solution
Exploring Operation: 11+35=46, Resulting Numbers: [46]
46,64 unequal: No Solution
Moving to Node #0,2,0
Current State: 64:[9, 55], Operations: ['99-90=9', '44+11=55']
Exploring Operation: 55-9=46, Resulting Numbers: [46]
46,64 unequal: No Solution
Exploring Operation: 9*55=495, Resulting Numbers: [495]
495,64 unequal: No Solution
Exploring Operation: 9+55=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[90, 44, 11, 99], Operations: []
Exploring Operation: 99-90=9, Resulting Numbers: [44, 11, 9]
Generated Node #0,2: 64:[44, 11, 9] Operation: 99-90=9
Moving to Node #0,2
Current State: 64:[44, 11, 9], Operations: ['99-90=9']
Exploring Operation: 44+11=55, Resulting Numbers: [9, 55]
Generated Node #0,2,0: 64:[9, 55] Operation: 44+11=55
Moving to Node #0,2,0
Current State: 64:[9, 55], Operations: ['99-90=9', '44+11=55']
Exploring Operation: 9+55=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_4 | sum_heuristic |
[
36,
72,
53,
9
] | 88 | [
"72/36=2",
"53-9=44",
"2*44=88"
] | Current State: 88:[36, 72, 53, 9], Operations: []
Exploring Operation: 72/36=2, Resulting Numbers: [53, 9, 2]
Generated Node #2: [53, 9, 2] from Operation: 72/36=2
Current State: 88:[53, 9, 2], Operations: ['72/36=2']
Exploring Operation: 53-9=44, Resulting Numbers: [2, 44]
Generated Node #3: [2, 44] from Operation: 53-9=44
Current State: 88:[2, 44], Operations: ['72/36=2', '53-9=44']
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[36, 72, 53, 9], Operations: []
Exploring Operation: 36+53=89, Resulting Numbers: [72, 9, 89]
Generated Node #0,0: 88:[72, 9, 89] Operation: 36+53=89
Exploring Operation: 72-53=19, Resulting Numbers: [36, 9, 19]
Generated Node #0,1: 88:[36, 9, 19] Operation: 72-53=19
Exploring Operation: 72/36=2, Resulting Numbers: [53, 9, 2]
Generated Node #0,2: 88:[53, 9, 2] Operation: 72/36=2
Exploring Operation: 72/9=8, Resulting Numbers: [36, 53, 8]
Generated Node #0,3: 88:[36, 53, 8] Operation: 72/9=8
Exploring Operation: 72-36=36, Resulting Numbers: [53, 9, 36]
Generated Node #0,4: 88:[53, 9, 36] Operation: 72-36=36
Start Sub Search at level 1: Moving to Node #0,2
Current State: 88:[53, 9, 2], Operations: ['72/36=2']
Exploring Operation: 9-2=7, Resulting Numbers: [53, 7]
Generated Node #0,2,0: 88:[53, 7] Operation: 9-2=7
Exploring Operation: 9+2=11, Resulting Numbers: [53, 11]
Generated Node #0,2,1: 88:[53, 11] Operation: 9+2=11
Exploring Operation: 53+2=55, Resulting Numbers: [9, 55]
Generated Node #0,2,2: 88:[9, 55] Operation: 53+2=55
Exploring Operation: 53-9=44, Resulting Numbers: [2, 44]
Generated Node #0,2,3: 88:[2, 44] Operation: 53-9=44
Exploring Operation: 53-2=51, Resulting Numbers: [9, 51]
Generated Node #0,2,4: 88:[9, 51] Operation: 53-2=51
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 88:[2, 44], Operations: ['72/36=2', '53-9=44']
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,88 unequal: No Solution
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[36, 72, 53, 9], Operations: []
Exploring Operation: 72/36=2, Resulting Numbers: [53, 9, 2]
Generated Node #0,2: 88:[53, 9, 2] Operation: 72/36=2
Moving to Node #0,2
Current State: 88:[53, 9, 2], Operations: ['72/36=2']
Exploring Operation: 53-9=44, Resulting Numbers: [2, 44]
Generated Node #0,2,3: 88:[2, 44] Operation: 53-9=44
Moving to Node #0,2,3
Current State: 88:[2, 44], Operations: ['72/36=2', '53-9=44']
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
46,
60,
51,
31
] | 34 | [
"60-46=14",
"51-31=20",
"14+20=34"
] | Current State: 34:[46, 60, 51, 31], Operations: []
Exploring Operation: 60-46=14, Resulting Numbers: [51, 31, 14]
Generated Node #2: [51, 31, 14] from Operation: 60-46=14
Current State: 34:[51, 31, 14], Operations: ['60-46=14']
Exploring Operation: 51-31=20, Resulting Numbers: [14, 20]
Generated Node #3: [14, 20] from Operation: 51-31=20
Current State: 34:[14, 20], Operations: ['60-46=14', '51-31=20']
Exploring Operation: 14+20=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[46, 60, 51, 31], Operations: []
Exploring Operation: 51-31=20, Resulting Numbers: [46, 60, 20]
Generated Node #0,0: 34:[46, 60, 20] Operation: 51-31=20
Exploring Operation: 60-31=29, Resulting Numbers: [46, 51, 29]
Generated Node #0,1: 34:[46, 51, 29] Operation: 60-31=29
Exploring Operation: 51-46=5, Resulting Numbers: [60, 31, 5]
Generated Node #0,2: 34:[60, 31, 5] Operation: 51-46=5
Exploring Operation: 60-51=9, Resulting Numbers: [46, 31, 9]
Generated Node #0,3: 34:[46, 31, 9] Operation: 60-51=9
Exploring Operation: 60-46=14, Resulting Numbers: [51, 31, 14]
Generated Node #0,4: 34:[51, 31, 14] Operation: 60-46=14
Moving to Node #0,3
Current State: 34:[46, 31, 9], Operations: ['60-51=9']
Exploring Operation: 46+9=55, Resulting Numbers: [31, 55]
Generated Node #0,3,0: 34:[31, 55] Operation: 46+9=55
Exploring Operation: 31+9=40, Resulting Numbers: [46, 40]
Generated Node #0,3,1: 34:[46, 40] Operation: 31+9=40
Exploring Operation: 46-9=37, Resulting Numbers: [31, 37]
Generated Node #0,3,2: 34:[31, 37] Operation: 46-9=37
Exploring Operation: 46-31=15, Resulting Numbers: [9, 15]
Generated Node #0,3,3: 34:[9, 15] Operation: 46-31=15
Exploring Operation: 31-9=22, Resulting Numbers: [46, 22]
Generated Node #0,3,4: 34:[46, 22] Operation: 31-9=22
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 34:[31, 37], Operations: ['60-51=9', '46-9=37']
Exploring Operation: 31*37=1147, Resulting Numbers: [1147]
1147,34 unequal: No Solution
Exploring Operation: 31+37=68, Resulting Numbers: [68]
68,34 unequal: No Solution
Exploring Operation: 37-31=6, Resulting Numbers: [6]
6,34 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 #0,3,3
Current State: 34:[9, 15], Operations: ['60-51=9', '46-31=15']
Exploring Operation: 9*15=135, Resulting Numbers: [135]
135,34 unequal: No Solution
Exploring Operation: 9+15=24, Resulting Numbers: [24]
24,34 unequal: No Solution
Exploring Operation: 15-9=6, Resulting Numbers: [6]
6,34 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 #0,3,4
Current State: 34:[46, 22], Operations: ['60-51=9', '31-9=22']
Exploring Operation: 46*22=1012, Resulting Numbers: [1012]
1012,34 unequal: No Solution
Exploring Operation: 46-22=24, Resulting Numbers: [24]
24,34 unequal: No Solution
Exploring Operation: 46+22=68, Resulting Numbers: [68]
68,34 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 #0,3,1
Current State: 34:[46, 40], Operations: ['60-51=9', '31+9=40']
Exploring Operation: 46*40=1840, Resulting Numbers: [1840]
1840,34 unequal: No Solution
Exploring Operation: 46+40=86, Resulting Numbers: [86]
86,34 unequal: No Solution
Exploring Operation: 46-40=6, Resulting Numbers: [6]
6,34 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 #0,3,0
Current State: 34:[31, 55], Operations: ['60-51=9', '46+9=55']
Exploring Operation: 55-31=24, Resulting Numbers: [24]
24,34 unequal: No Solution
Exploring Operation: 31*55=1705, Resulting Numbers: [1705]
1705,34 unequal: No Solution
Exploring Operation: 31+55=86, Resulting Numbers: [86]
86,34 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: 34:[51, 31, 14], Operations: ['60-46=14']
Exploring Operation: 51-31=20, Resulting Numbers: [14, 20]
Generated Node #0,4,0: 34:[14, 20] Operation: 51-31=20
Exploring Operation: 51+14=65, Resulting Numbers: [31, 65]
Generated Node #0,4,1: 34:[31, 65] Operation: 51+14=65
Exploring Operation: 31-14=17, Resulting Numbers: [51, 17]
Generated Node #0,4,2: 34:[51, 17] Operation: 31-14=17
Exploring Operation: 31+14=45, Resulting Numbers: [51, 45]
Generated Node #0,4,3: 34:[51, 45] Operation: 31+14=45
Exploring Operation: 51-14=37, Resulting Numbers: [31, 37]
Generated Node #0,4,4: 34:[31, 37] Operation: 51-14=37
Moving to Node #0,2
Current State: 34:[60, 31, 5], Operations: ['51-46=5']
Exploring Operation: 60+5=65, Resulting Numbers: [31, 65]
Generated Node #0,2,0: 34:[31, 65] Operation: 60+5=65
Exploring Operation: 60-31=29, Resulting Numbers: [5, 29]
Generated Node #0,2,1: 34:[5, 29] Operation: 60-31=29
Exploring Operation: 60-5=55, Resulting Numbers: [31, 55]
Generated Node #0,2,2: 34:[31, 55] Operation: 60-5=55
Exploring Operation: 60/5=12, Resulting Numbers: [31, 12]
Generated Node #0,2,3: 34:[31, 12] Operation: 60/5=12
Exploring Operation: 31+5=36, Resulting Numbers: [60, 36]
Generated Node #0,2,4: 34:[60, 36] Operation: 31+5=36
Moving to Node #0,1
Current State: 34:[46, 51, 29], Operations: ['60-31=29']
Exploring Operation: 46+29=75, Resulting Numbers: [51, 75]
Generated Node #0,1,0: 34:[51, 75] Operation: 46+29=75
Exploring Operation: 51-46=5, Resulting Numbers: [29, 5]
Generated Node #0,1,1: 34:[29, 5] Operation: 51-46=5
Exploring Operation: 51+29=80, Resulting Numbers: [46, 80]
Generated Node #0,1,2: 34:[46, 80] Operation: 51+29=80
Exploring Operation: 46-29=17, Resulting Numbers: [51, 17]
Generated Node #0,1,3: 34:[51, 17] Operation: 46-29=17
Exploring Operation: 51-29=22, Resulting Numbers: [46, 22]
Generated Node #0,1,4: 34:[46, 22] Operation: 51-29=22
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 34:[29, 5], Operations: ['60-31=29', '51-46=5']
Exploring Operation: 29-5=24, Resulting Numbers: [24]
24,34 unequal: No Solution
Exploring Operation: 29*5=145, Resulting Numbers: [145]
145,34 unequal: No Solution
Exploring Operation: 29+5=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[46, 60, 51, 31], Operations: []
Exploring Operation: 60-31=29, Resulting Numbers: [46, 51, 29]
Generated Node #0,1: 34:[46, 51, 29] Operation: 60-31=29
Moving to Node #0,1
Current State: 34:[46, 51, 29], Operations: ['60-31=29']
Exploring Operation: 51-46=5, Resulting Numbers: [29, 5]
Generated Node #0,1,1: 34:[29, 5] Operation: 51-46=5
Moving to Node #0,1,1
Current State: 34:[29, 5], Operations: ['60-31=29', '51-46=5']
Exploring Operation: 29+5=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.959201 | hs_5 | sum_heuristic |
[
22,
42,
64,
24
] | 90 | [
"42*64=2688",
"2688/24=112",
"112-22=90"
] | Current State: 90:[22, 42, 64, 24], Operations: []
Exploring Operation: 42*64=2688, Resulting Numbers: [22, 24, 2688]
Generated Node #2: [22, 24, 2688] from Operation: 42*64=2688
Current State: 90:[22, 24, 2688], Operations: ['42*64=2688']
Exploring Operation: 2688/24=112, Resulting Numbers: [22, 112]
Generated Node #3: [22, 112] from Operation: 2688/24=112
Current State: 90:[22, 112], Operations: ['42*64=2688', '2688/24=112']
Exploring Operation: 112-22=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[22, 42, 64, 24], Operations: []
Exploring Operation: 64+24=88, Resulting Numbers: [22, 42, 88]
Generated Node #0,0: 90:[22, 42, 88] Operation: 64+24=88
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[22, 42, 88], Operations: ['64+24=88']
Exploring Operation: 42-22=20, Resulting Numbers: [88, 20]
Generated Node #0,0,0: 90:[88, 20] Operation: 42-22=20
Moving to Node #0,0,0
Current State: 90:[88, 20], Operations: ['64+24=88', '42-22=20']
Exploring Operation: 88+20=108, Resulting Numbers: [108]
108,90 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 |
[
79,
39,
3,
78
] | 42 | [
"79-39=40",
"3*40=120",
"120-78=42"
] | Current State: 42:[79, 39, 3, 78], Operations: []
Exploring Operation: 79-39=40, Resulting Numbers: [3, 78, 40]
Generated Node #2: [3, 78, 40] from Operation: 79-39=40
Current State: 42:[3, 78, 40], Operations: ['79-39=40']
Exploring Operation: 3*40=120, Resulting Numbers: [78, 120]
Generated Node #3: [78, 120] from Operation: 3*40=120
Current State: 42:[78, 120], Operations: ['79-39=40', '3*40=120']
Exploring Operation: 120-78=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[79, 39, 3, 78], Operations: []
Exploring Operation: 79-78=1, Resulting Numbers: [39, 3, 1]
Generated Node #0,0: 42:[39, 3, 1] Operation: 79-78=1
Exploring Operation: 78/39=2, Resulting Numbers: [79, 3, 2]
Generated Node #0,1: 42:[79, 3, 2] Operation: 78/39=2
Moving to Node #0,0
Current State: 42:[39, 3, 1], Operations: ['79-78=1']
Exploring Operation: 39+3=42, Resulting Numbers: [1, 42]
Generated Node #0,0,0: 42:[1, 42] Operation: 39+3=42
Exploring Operation: 39/3=13, Resulting Numbers: [1, 13]
Generated Node #0,0,1: 42:[1, 13] Operation: 39/3=13
Moving to Node #0,1
Current State: 42:[79, 3, 2], Operations: ['78/39=2']
Exploring Operation: 79-2=77, Resulting Numbers: [3, 77]
Generated Node #0,1,0: 42:[3, 77] Operation: 79-2=77
Exploring Operation: 79-3=76, Resulting Numbers: [2, 76]
Generated Node #0,1,1: 42:[2, 76] Operation: 79-3=76
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 42:[2, 76], Operations: ['78/39=2', '79-3=76']
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,42 unequal: No Solution
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 42:[3, 77], Operations: ['78/39=2', '79-2=77']
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,42 unequal: No Solution
Exploring Operation: 3+77=80, Resulting Numbers: [80]
80,42 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: 42:[1, 42], Operations: ['79-78=1', '39+3=42']
Exploring Operation: 42/1=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[79, 39, 3, 78], Operations: []
Exploring Operation: 79-78=1, Resulting Numbers: [39, 3, 1]
Generated Node #0,0: 42:[39, 3, 1] Operation: 79-78=1
Moving to Node #0,0
Current State: 42:[39, 3, 1], Operations: ['79-78=1']
Exploring Operation: 39+3=42, Resulting Numbers: [1, 42]
Generated Node #0,0,0: 42:[1, 42] Operation: 39+3=42
Moving to Node #0,0,0
Current State: 42:[1, 42], Operations: ['79-78=1', '39+3=42']
Exploring Operation: 42/1=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 0.986979 | hs_2 | mult_heuristic |
[
31,
52,
4,
58
] | 62 | [
"52+4=56",
"58-56=2",
"31*2=62"
] | Current State: 62:[31, 52, 4, 58], Operations: []
Exploring Operation: 52+4=56, Resulting Numbers: [31, 58, 56]
Generated Node #2: [31, 58, 56] from Operation: 52+4=56
Current State: 62:[31, 58, 56], Operations: ['52+4=56']
Exploring Operation: 58-56=2, Resulting Numbers: [31, 2]
Generated Node #3: [31, 2] from Operation: 58-56=2
Current State: 62:[31, 2], Operations: ['52+4=56', '58-56=2']
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[31, 52, 4, 58], Operations: []
Exploring Operation: 58-52=6, Resulting Numbers: [31, 4, 6]
Generated Node #0,0: 62:[31, 4, 6] Operation: 58-52=6
Moving to Node #0,0
Current State: 62:[31, 4, 6], Operations: ['58-52=6']
Exploring Operation: 6-4=2, Resulting Numbers: [31, 2]
Generated Node #0,0,0: 62:[31, 2] Operation: 6-4=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 62:[31, 2], Operations: ['58-52=6', '6-4=2']
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[31, 52, 4, 58], Operations: []
Exploring Operation: 58-52=6, Resulting Numbers: [31, 4, 6]
Generated Node #0,0: 62:[31, 4, 6] Operation: 58-52=6
Moving to Node #0,0
Current State: 62:[31, 4, 6], Operations: ['58-52=6']
Exploring Operation: 6-4=2, Resulting Numbers: [31, 2]
Generated Node #0,0,0: 62:[31, 2] Operation: 6-4=2
Moving to Node #0,0,0
Current State: 62:[31, 2], Operations: ['58-52=6', '6-4=2']
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
88,
1,
47,
11
] | 56 | [
"88/11=8",
"1+47=48",
"8+48=56"
] | Current State: 56:[88, 1, 47, 11], Operations: []
Exploring Operation: 88/11=8, Resulting Numbers: [1, 47, 8]
Generated Node #2: [1, 47, 8] from Operation: 88/11=8
Current State: 56:[1, 47, 8], Operations: ['88/11=8']
Exploring Operation: 1+47=48, Resulting Numbers: [8, 48]
Generated Node #3: [8, 48] from Operation: 1+47=48
Current State: 56:[8, 48], Operations: ['88/11=8', '1+47=48']
Exploring Operation: 8+48=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[88, 1, 47, 11], Operations: []
Exploring Operation: 47-11=36, Resulting Numbers: [88, 1, 36]
Generated Node #0,0: 56:[88, 1, 36] Operation: 47-11=36
Exploring Operation: 88/11=8, Resulting Numbers: [1, 47, 8]
Generated Node #0,1: 56:[1, 47, 8] Operation: 88/11=8
Exploring Operation: 88-47=41, Resulting Numbers: [1, 11, 41]
Generated Node #0,2: 56:[1, 11, 41] Operation: 88-47=41
Exploring Operation: 88-11=77, Resulting Numbers: [1, 47, 77]
Generated Node #0,3: 56:[1, 47, 77] Operation: 88-11=77
Exploring Operation: 47+11=58, Resulting Numbers: [88, 1, 58]
Generated Node #0,4: 56:[88, 1, 58] Operation: 47+11=58
Moving to Node #0,1
Current State: 56:[1, 47, 8], Operations: ['88/11=8']
Exploring Operation: 1*47=47, Resulting Numbers: [8, 47]
Generated Node #0,1,0: 56:[8, 47] Operation: 1*47=47
Exploring Operation: 47+8=55, Resulting Numbers: [1, 55]
Generated Node #0,1,1: 56:[1, 55] Operation: 47+8=55
Exploring Operation: 47/1=47, Resulting Numbers: [8, 47]
Generated Node #0,1,2: 56:[8, 47] Operation: 47/1=47
Exploring Operation: 1*8=8, Resulting Numbers: [47, 8]
Generated Node #0,1,3: 56:[47, 8] Operation: 1*8=8
Exploring Operation: 1+47=48, Resulting Numbers: [8, 48]
Generated Node #0,1,4: 56:[8, 48] Operation: 1+47=48
Moving to Node #0,2
Current State: 56:[1, 11, 41], Operations: ['88-47=41']
Exploring Operation: 11+41=52, Resulting Numbers: [1, 52]
Generated Node #0,2,0: 56:[1, 52] Operation: 11+41=52
Exploring Operation: 41-1=40, Resulting Numbers: [11, 40]
Generated Node #0,2,1: 56:[11, 40] Operation: 41-1=40
Exploring Operation: 41-11=30, Resulting Numbers: [1, 30]
Generated Node #0,2,2: 56:[1, 30] Operation: 41-11=30
Exploring Operation: 11-1=10, Resulting Numbers: [41, 10]
Generated Node #0,2,3: 56:[41, 10] Operation: 11-1=10
Exploring Operation: 1+11=12, Resulting Numbers: [41, 12]
Generated Node #0,2,4: 56:[41, 12] Operation: 1+11=12
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 56:[1, 30], Operations: ['88-47=41', '41-11=30']
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,56 unequal: No Solution
Exploring Operation: 30/1=30, Resulting Numbers: [30]
30,56 unequal: No Solution
Exploring Operation: 1+30=31, Resulting Numbers: [31]
31,56 unequal: No Solution
Exploring Operation: 1*30=30, Resulting Numbers: [30]
30,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 56:[1, 52], Operations: ['88-47=41', '11+41=52']
Exploring Operation: 52/1=52, Resulting Numbers: [52]
52,56 unequal: No Solution
Exploring Operation: 1+52=53, Resulting Numbers: [53]
53,56 unequal: No Solution
Exploring Operation: 52-1=51, Resulting Numbers: [51]
51,56 unequal: No Solution
Exploring Operation: 1*52=52, Resulting Numbers: [52]
52,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 56:[11, 40], Operations: ['88-47=41', '41-1=40']
Exploring Operation: 11*40=440, Resulting Numbers: [440]
440,56 unequal: No Solution
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,56 unequal: No Solution
Exploring Operation: 11+40=51, Resulting Numbers: [51]
51,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 56:[41, 10], Operations: ['88-47=41', '11-1=10']
Exploring Operation: 41-10=31, Resulting Numbers: [31]
31,56 unequal: No Solution
Exploring Operation: 41+10=51, Resulting Numbers: [51]
51,56 unequal: No Solution
Exploring Operation: 41*10=410, Resulting Numbers: [410]
410,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 56:[41, 12], Operations: ['88-47=41', '1+11=12']
Exploring Operation: 41-12=29, Resulting Numbers: [29]
29,56 unequal: No Solution
Exploring Operation: 41+12=53, Resulting Numbers: [53]
53,56 unequal: No Solution
Exploring Operation: 41*12=492, Resulting Numbers: [492]
492,56 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: 56:[1, 47, 77], Operations: ['88-11=77']
Exploring Operation: 1+47=48, Resulting Numbers: [77, 48]
Generated Node #0,3,0: 56:[77, 48] Operation: 1+47=48
Exploring Operation: 47/1=47, Resulting Numbers: [77, 47]
Generated Node #0,3,1: 56:[77, 47] Operation: 47/1=47
Exploring Operation: 77-1=76, Resulting Numbers: [47, 76]
Generated Node #0,3,2: 56:[47, 76] Operation: 77-1=76
Exploring Operation: 77-47=30, Resulting Numbers: [1, 30]
Generated Node #0,3,3: 56:[1, 30] Operation: 77-47=30
Exploring Operation: 1*47=47, Resulting Numbers: [77, 47]
Generated Node #0,3,4: 56:[77, 47] Operation: 1*47=47
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 56:[1, 30], Operations: ['88-11=77', '77-47=30']
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,56 unequal: No Solution
Exploring Operation: 1*30=30, Resulting Numbers: [30]
30,56 unequal: No Solution
Exploring Operation: 1+30=31, Resulting Numbers: [31]
31,56 unequal: No Solution
Exploring Operation: 30/1=30, Resulting Numbers: [30]
30,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 56:[77, 48], Operations: ['88-11=77', '1+47=48']
Exploring Operation: 77-48=29, Resulting Numbers: [29]
29,56 unequal: No Solution
Exploring Operation: 77+48=125, Resulting Numbers: [125]
125,56 unequal: No Solution
Exploring Operation: 77*48=3696, Resulting Numbers: [3696]
3696,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 56:[47, 76], Operations: ['88-11=77', '77-1=76']
Exploring Operation: 47+76=123, Resulting Numbers: [123]
123,56 unequal: No Solution
Exploring Operation: 76-47=29, Resulting Numbers: [29]
29,56 unequal: No Solution
Exploring Operation: 47*76=3572, Resulting Numbers: [3572]
3572,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 56:[77, 47], Operations: ['88-11=77', '47/1=47']
Exploring Operation: 77-47=30, Resulting Numbers: [30]
30,56 unequal: No Solution
Exploring Operation: 77+47=124, Resulting Numbers: [124]
124,56 unequal: No Solution
Exploring Operation: 77*47=3619, Resulting Numbers: [3619]
3619,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 56:[77, 47], Operations: ['88-11=77', '1*47=47']
Exploring Operation: 77*47=3619, Resulting Numbers: [3619]
3619,56 unequal: No Solution
Exploring Operation: 77+47=124, Resulting Numbers: [124]
124,56 unequal: No Solution
Exploring Operation: 77-47=30, Resulting Numbers: [30]
30,56 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: 56:[88, 1, 58], Operations: ['47+11=58']
Exploring Operation: 88*1=88, Resulting Numbers: [58, 88]
Generated Node #0,4,0: 56:[58, 88] Operation: 88*1=88
Exploring Operation: 58-1=57, Resulting Numbers: [88, 57]
Generated Node #0,4,1: 56:[88, 57] Operation: 58-1=57
Exploring Operation: 88-1=87, Resulting Numbers: [58, 87]
Generated Node #0,4,2: 56:[58, 87] Operation: 88-1=87
Exploring Operation: 88-58=30, Resulting Numbers: [1, 30]
Generated Node #0,4,3: 56:[1, 30] Operation: 88-58=30
Exploring Operation: 88/1=88, Resulting Numbers: [58, 88]
Generated Node #0,4,4: 56:[58, 88] Operation: 88/1=88
Moving to Node #0,0
Current State: 56:[88, 1, 36], Operations: ['47-11=36']
Exploring Operation: 88/1=88, Resulting Numbers: [36, 88]
Generated Node #0,0,0: 56:[36, 88] Operation: 88/1=88
Exploring Operation: 88-36=52, Resulting Numbers: [1, 52]
Generated Node #0,0,1: 56:[1, 52] Operation: 88-36=52
Exploring Operation: 88-1=87, Resulting Numbers: [36, 87]
Generated Node #0,0,2: 56:[36, 87] Operation: 88-1=87
Exploring Operation: 88*1=88, Resulting Numbers: [36, 88]
Generated Node #0,0,3: 56:[36, 88] Operation: 88*1=88
Exploring Operation: 36-1=35, Resulting Numbers: [88, 35]
Generated Node #0,0,4: 56:[88, 35] Operation: 36-1=35
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 56:[1, 52], Operations: ['47-11=36', '88-36=52']
Exploring Operation: 52-1=51, Resulting Numbers: [51]
51,56 unequal: No Solution
Exploring Operation: 1*52=52, Resulting Numbers: [52]
52,56 unequal: No Solution
Exploring Operation: 52/1=52, Resulting Numbers: [52]
52,56 unequal: No Solution
Exploring Operation: 1+52=53, Resulting Numbers: [53]
53,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 56:[36, 87], Operations: ['47-11=36', '88-1=87']
Exploring Operation: 87-36=51, Resulting Numbers: [51]
51,56 unequal: No Solution
Exploring Operation: 36+87=123, Resulting Numbers: [123]
123,56 unequal: No Solution
Exploring Operation: 36*87=3132, Resulting Numbers: [3132]
3132,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 56:[88, 35], Operations: ['47-11=36', '36-1=35']
Exploring Operation: 88+35=123, Resulting Numbers: [123]
123,56 unequal: No Solution
Exploring Operation: 88*35=3080, Resulting Numbers: [3080]
3080,56 unequal: No Solution
Exploring Operation: 88-35=53, Resulting Numbers: [53]
53,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 56:[36, 88], Operations: ['47-11=36', '88/1=88']
Exploring Operation: 88-36=52, Resulting Numbers: [52]
52,56 unequal: No Solution
Exploring Operation: 36+88=124, Resulting Numbers: [124]
124,56 unequal: No Solution
Exploring Operation: 36*88=3168, Resulting Numbers: [3168]
3168,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 56:[36, 88], Operations: ['47-11=36', '88*1=88']
Exploring Operation: 36+88=124, Resulting Numbers: [124]
124,56 unequal: No Solution
Exploring Operation: 36*88=3168, Resulting Numbers: [3168]
3168,56 unequal: No Solution
Exploring Operation: 88-36=52, Resulting Numbers: [52]
52,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 56:[1, 55], Operations: ['88/11=8', '47+8=55']
Exploring Operation: 55/1=55, Resulting Numbers: [55]
55,56 unequal: No Solution
Exploring Operation: 1+55=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[88, 1, 47, 11], Operations: []
Exploring Operation: 88/11=8, Resulting Numbers: [1, 47, 8]
Generated Node #0,1: 56:[1, 47, 8] Operation: 88/11=8
Moving to Node #0,1
Current State: 56:[1, 47, 8], Operations: ['88/11=8']
Exploring Operation: 47+8=55, Resulting Numbers: [1, 55]
Generated Node #0,1,1: 56:[1, 55] Operation: 47+8=55
Moving to Node #0,1,1
Current State: 56:[1, 55], Operations: ['88/11=8', '47+8=55']
Exploring Operation: 1+55=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 0.926215 | hs_5 | mult_heuristic |
[
85,
68,
8,
11
] | 80 | [
"85+11=96",
"96/8=12",
"68+12=80"
] | Current State: 80:[85, 68, 8, 11], Operations: []
Exploring Operation: 85+11=96, Resulting Numbers: [68, 8, 96]
Generated Node #2: [68, 8, 96] from Operation: 85+11=96
Current State: 80:[68, 8, 96], Operations: ['85+11=96']
Exploring Operation: 96/8=12, Resulting Numbers: [68, 12]
Generated Node #3: [68, 12] from Operation: 96/8=12
Current State: 80:[68, 12], Operations: ['85+11=96', '96/8=12']
Exploring Operation: 68+12=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[85, 68, 8, 11], Operations: []
Exploring Operation: 85-68=17, Resulting Numbers: [8, 11, 17]
Generated Node #0,0: 80:[8, 11, 17] Operation: 85-68=17
Exploring Operation: 68+11=79, Resulting Numbers: [85, 8, 79]
Generated Node #0,1: 80:[85, 8, 79] Operation: 68+11=79
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[8, 11, 17], Operations: ['85-68=17']
Exploring Operation: 8+11=19, Resulting Numbers: [17, 19]
Generated Node #0,0,0: 80:[17, 19] Operation: 8+11=19
Exploring Operation: 17-11=6, Resulting Numbers: [8, 6]
Generated Node #0,0,1: 80:[8, 6] Operation: 17-11=6
Moving to Node #0,0,1
Current State: 80:[8, 6], Operations: ['85-68=17', '17-11=6']
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,80 unequal: No Solution
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,80 unequal: No Solution
Moving to Node #0,0,0
Current State: 80:[17, 19], Operations: ['85-68=17', '8+11=19']
Exploring Operation: 17+19=36, Resulting Numbers: [36]
36,80 unequal: No Solution
Exploring Operation: 19-17=2, Resulting Numbers: [2]
2,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 80:[85, 8, 79], Operations: ['68+11=79']
Exploring Operation: 85-79=6, Resulting Numbers: [8, 6]
Generated Node #0,1,0: 80:[8, 6] Operation: 85-79=6
Exploring Operation: 85-8=77, Resulting Numbers: [79, 77]
Generated Node #0,1,1: 80:[79, 77] Operation: 85-8=77
Moving to Node #0,1,0
Current State: 80:[8, 6], Operations: ['68+11=79', '85-79=6']
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,80 unequal: No Solution
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[79, 77], Operations: ['68+11=79', '85-8=77']
Exploring Operation: 79-77=2, Resulting Numbers: [2]
2,80 unequal: No Solution
Exploring Operation: 79+77=156, Resulting Numbers: [156]
156,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
12,
88,
40,
24
] | 68 | [
"12*40=480",
"480/24=20",
"88-20=68"
] | Current State: 68:[12, 88, 40, 24], Operations: []
Exploring Operation: 12*40=480, Resulting Numbers: [88, 24, 480]
Generated Node #2: [88, 24, 480] from Operation: 12*40=480
Current State: 68:[88, 24, 480], Operations: ['12*40=480']
Exploring Operation: 480/24=20, Resulting Numbers: [88, 20]
Generated Node #3: [88, 20] from Operation: 480/24=20
Current State: 68:[88, 20], Operations: ['12*40=480', '480/24=20']
Exploring Operation: 88-20=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[12, 88, 40, 24], Operations: []
Exploring Operation: 88-12=76, Resulting Numbers: [40, 24, 76]
Generated Node #0,0: 68:[40, 24, 76] Operation: 88-12=76
Exploring Operation: 88-24=64, Resulting Numbers: [12, 40, 64]
Generated Node #0,1: 68:[12, 40, 64] Operation: 88-24=64
Start Sub Search at level 1: Moving to Node #0,1
Current State: 68:[12, 40, 64], Operations: ['88-24=64']
Exploring Operation: 64-40=24, Resulting Numbers: [12, 24]
Generated Node #0,1,0: 68:[12, 24] Operation: 64-40=24
Exploring Operation: 40-12=28, Resulting Numbers: [64, 28]
Generated Node #0,1,1: 68:[64, 28] Operation: 40-12=28
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 68:[64, 28], Operations: ['88-24=64', '40-12=28']
Exploring Operation: 64-28=36, Resulting Numbers: [36]
36,68 unequal: No Solution
Exploring Operation: 64+28=92, Resulting Numbers: [92]
92,68 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 #0,1,0
Current State: 68:[12, 24], Operations: ['88-24=64', '64-40=24']
Exploring Operation: 24/12=2, Resulting Numbers: [2]
2,68 unequal: No Solution
Exploring Operation: 12+24=36, Resulting Numbers: [36]
36,68 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 #0,0
Current State: 68:[40, 24, 76], Operations: ['88-12=76']
Exploring Operation: 76-40=36, Resulting Numbers: [24, 36]
Generated Node #0,0,0: 68:[24, 36] Operation: 76-40=36
Exploring Operation: 40-24=16, Resulting Numbers: [76, 16]
Generated Node #0,0,1: 68:[76, 16] Operation: 40-24=16
Moving to Node #0,0,0
Current State: 68:[24, 36], Operations: ['88-12=76', '76-40=36']
Exploring Operation: 36-24=12, Resulting Numbers: [12]
12,68 unequal: No Solution
Exploring Operation: 24+36=60, Resulting Numbers: [60]
60,68 unequal: No Solution
Moving to Node #0,0,1
Current State: 68:[76, 16], Operations: ['88-12=76', '40-24=16']
Exploring Operation: 76+16=92, Resulting Numbers: [92]
92,68 unequal: No Solution
Exploring Operation: 76-16=60, Resulting Numbers: [60]
60,68 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 |
[
66,
5,
34,
53
] | 99 | [
"66-53=13",
"5*13=65",
"34+65=99"
] | Current State: 99:[66, 5, 34, 53], Operations: []
Exploring Operation: 66-53=13, Resulting Numbers: [5, 34, 13]
Generated Node #2: [5, 34, 13] from Operation: 66-53=13
Current State: 99:[5, 34, 13], Operations: ['66-53=13']
Exploring Operation: 5*13=65, Resulting Numbers: [34, 65]
Generated Node #3: [34, 65] from Operation: 5*13=65
Current State: 99:[34, 65], Operations: ['66-53=13', '5*13=65']
Exploring Operation: 34+65=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[66, 5, 34, 53], Operations: []
Exploring Operation: 66+34=100, Resulting Numbers: [5, 53, 100]
Generated Node #0,0: 99:[5, 53, 100] Operation: 66+34=100
Exploring Operation: 66-34=32, Resulting Numbers: [5, 53, 32]
Generated Node #0,1: 99:[5, 53, 32] Operation: 66-34=32
Exploring Operation: 53-34=19, Resulting Numbers: [66, 5, 19]
Generated Node #0,2: 99:[66, 5, 19] Operation: 53-34=19
Exploring Operation: 66-53=13, Resulting Numbers: [5, 34, 13]
Generated Node #0,3: 99:[5, 34, 13] Operation: 66-53=13
Exploring Operation: 66+53=119, Resulting Numbers: [5, 34, 119]
Generated Node #0,4: 99:[5, 34, 119] Operation: 66+53=119
Moving to Node #0,3
Current State: 99:[5, 34, 13], Operations: ['66-53=13']
Exploring Operation: 5+34=39, Resulting Numbers: [13, 39]
Generated Node #0,3,0: 99:[13, 39] Operation: 5+34=39
Exploring Operation: 5+13=18, Resulting Numbers: [34, 18]
Generated Node #0,3,1: 99:[34, 18] Operation: 5+13=18
Exploring Operation: 13-5=8, Resulting Numbers: [34, 8]
Generated Node #0,3,2: 99:[34, 8] Operation: 13-5=8
Exploring Operation: 34-13=21, Resulting Numbers: [5, 21]
Generated Node #0,3,3: 99:[5, 21] Operation: 34-13=21
Exploring Operation: 34-5=29, Resulting Numbers: [13, 29]
Generated Node #0,3,4: 99:[13, 29] Operation: 34-5=29
Moving to Node #0,1
Current State: 99:[5, 53, 32], Operations: ['66-34=32']
Exploring Operation: 53-32=21, Resulting Numbers: [5, 21]
Generated Node #0,1,0: 99:[5, 21] Operation: 53-32=21
Exploring Operation: 5+32=37, Resulting Numbers: [53, 37]
Generated Node #0,1,1: 99:[53, 37] Operation: 5+32=37
Exploring Operation: 5+53=58, Resulting Numbers: [32, 58]
Generated Node #0,1,2: 99:[32, 58] Operation: 5+53=58
Exploring Operation: 53-5=48, Resulting Numbers: [32, 48]
Generated Node #0,1,3: 99:[32, 48] Operation: 53-5=48
Exploring Operation: 53+32=85, Resulting Numbers: [5, 85]
Generated Node #0,1,4: 99:[5, 85] Operation: 53+32=85
Moving to Node #0,0
Current State: 99:[5, 53, 100], Operations: ['66+34=100']
Exploring Operation: 100-53=47, Resulting Numbers: [5, 47]
Generated Node #0,0,0: 99:[5, 47] Operation: 100-53=47
Exploring Operation: 53-5=48, Resulting Numbers: [100, 48]
Generated Node #0,0,1: 99:[100, 48] Operation: 53-5=48
Exploring Operation: 100-5=95, Resulting Numbers: [53, 95]
Generated Node #0,0,2: 99:[53, 95] Operation: 100-5=95
Exploring Operation: 5+53=58, Resulting Numbers: [100, 58]
Generated Node #0,0,3: 99:[100, 58] Operation: 5+53=58
Exploring Operation: 5+100=105, Resulting Numbers: [53, 105]
Generated Node #0,0,4: 99:[53, 105] Operation: 5+100=105
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 99:[5, 47], Operations: ['66+34=100', '100-53=47']
Exploring Operation: 5*47=235, Resulting Numbers: [235]
235,99 unequal: No Solution
Exploring Operation: 5+47=52, Resulting Numbers: [52]
52,99 unequal: No Solution
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,99 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 #0,0,1
Current State: 99:[100, 48], Operations: ['66+34=100', '53-5=48']
Exploring Operation: 100+48=148, Resulting Numbers: [148]
148,99 unequal: No Solution
Exploring Operation: 100-48=52, Resulting Numbers: [52]
52,99 unequal: No Solution
Exploring Operation: 100*48=4800, Resulting Numbers: [4800]
4800,99 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 #0,0,2
Current State: 99:[53, 95], Operations: ['66+34=100', '100-5=95']
Exploring Operation: 53*95=5035, Resulting Numbers: [5035]
5035,99 unequal: No Solution
Exploring Operation: 53+95=148, Resulting Numbers: [148]
148,99 unequal: No Solution
Exploring Operation: 95-53=42, Resulting Numbers: [42]
42,99 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 #0,0,3
Current State: 99:[100, 58], Operations: ['66+34=100', '5+53=58']
Exploring Operation: 100-58=42, Resulting Numbers: [42]
42,99 unequal: No Solution
Exploring Operation: 100*58=5800, Resulting Numbers: [5800]
5800,99 unequal: No Solution
Exploring Operation: 100+58=158, Resulting Numbers: [158]
158,99 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 #0,0,4
Current State: 99:[53, 105], Operations: ['66+34=100', '5+100=105']
Exploring Operation: 105-53=52, Resulting Numbers: [52]
52,99 unequal: No Solution
Exploring Operation: 53+105=158, Resulting Numbers: [158]
158,99 unequal: No Solution
Exploring Operation: 53*105=5565, Resulting Numbers: [5565]
5565,99 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: 99:[5, 34, 119], Operations: ['66+53=119']
Exploring Operation: 34-5=29, Resulting Numbers: [119, 29]
Generated Node #0,4,0: 99:[119, 29] Operation: 34-5=29
Exploring Operation: 5+119=124, Resulting Numbers: [34, 124]
Generated Node #0,4,1: 99:[34, 124] Operation: 5+119=124
Exploring Operation: 5+34=39, Resulting Numbers: [119, 39]
Generated Node #0,4,2: 99:[119, 39] Operation: 5+34=39
Exploring Operation: 119-34=85, Resulting Numbers: [5, 85]
Generated Node #0,4,3: 99:[5, 85] Operation: 119-34=85
Exploring Operation: 119-5=114, Resulting Numbers: [34, 114]
Generated Node #0,4,4: 99:[34, 114] Operation: 119-5=114
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 99:[5, 85], Operations: ['66+53=119', '119-34=85']
Exploring Operation: 5+85=90, Resulting Numbers: [90]
90,99 unequal: No Solution
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,99 unequal: No Solution
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,99 unequal: No Solution
Exploring Operation: 5*85=425, Resulting Numbers: [425]
425,99 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:[34, 114], Operations: ['66+53=119', '119-5=114']
Exploring Operation: 34+114=148, Resulting Numbers: [148]
148,99 unequal: No Solution
Exploring Operation: 114-34=80, Resulting Numbers: [80]
80,99 unequal: No Solution
Exploring Operation: 34*114=3876, Resulting Numbers: [3876]
3876,99 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 #0,4,0
Current State: 99:[119, 29], Operations: ['66+53=119', '34-5=29']
Exploring Operation: 119-29=90, Resulting Numbers: [90]
90,99 unequal: No Solution
Exploring Operation: 119*29=3451, Resulting Numbers: [3451]
3451,99 unequal: No Solution
Exploring Operation: 119+29=148, Resulting Numbers: [148]
148,99 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:[34, 124], Operations: ['66+53=119', '5+119=124']
Exploring Operation: 34*124=4216, Resulting Numbers: [4216]
4216,99 unequal: No Solution
Exploring Operation: 34+124=158, Resulting Numbers: [158]
158,99 unequal: No Solution
Exploring Operation: 124-34=90, Resulting Numbers: [90]
90,99 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:[119, 39], Operations: ['66+53=119', '5+34=39']
Exploring Operation: 119+39=158, Resulting Numbers: [158]
158,99 unequal: No Solution
Exploring Operation: 119-39=80, Resulting Numbers: [80]
80,99 unequal: No Solution
Exploring Operation: 119*39=4641, Resulting Numbers: [4641]
4641,99 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:[66, 5, 19], Operations: ['53-34=19']
Exploring Operation: 66+19=85, Resulting Numbers: [5, 85]
Generated Node #0,2,0: 99:[5, 85] Operation: 66+19=85
Exploring Operation: 66+5=71, Resulting Numbers: [19, 71]
Generated Node #0,2,1: 99:[19, 71] Operation: 66+5=71
Exploring Operation: 19-5=14, Resulting Numbers: [66, 14]
Generated Node #0,2,2: 99:[66, 14] Operation: 19-5=14
Exploring Operation: 66-19=47, Resulting Numbers: [5, 47]
Generated Node #0,2,3: 99:[5, 47] Operation: 66-19=47
Exploring Operation: 66-5=61, Resulting Numbers: [19, 61]
Generated Node #0,2,4: 99:[19, 61] Operation: 66-5=61
Moving to Node #0,3,2
Current State: 99:[34, 8], Operations: ['66-53=13', '13-5=8']
Exploring Operation: 34-8=26, Resulting Numbers: [26]
26,99 unequal: No Solution
Exploring Operation: 34+8=42, Resulting Numbers: [42]
42,99 unequal: No Solution
Exploring Operation: 34*8=272, Resulting Numbers: [272]
272,99 unequal: No Solution
Moving to Node #0,3,4
Current State: 99:[13, 29], Operations: ['66-53=13', '34-5=29']
Exploring Operation: 13+29=42, Resulting Numbers: [42]
42,99 unequal: No Solution
Exploring Operation: 13*29=377, Resulting Numbers: [377]
377,99 unequal: No Solution
Exploring Operation: 29-13=16, Resulting Numbers: [16]
16,99 unequal: No Solution
Moving to Node #0,3,0
Current State: 99:[13, 39], Operations: ['66-53=13', '5+34=39']
Exploring Operation: 39-13=26, Resulting Numbers: [26]
26,99 unequal: No Solution
Exploring Operation: 13+39=52, Resulting Numbers: [52]
52,99 unequal: No Solution
Exploring Operation: 39/13=3, Resulting Numbers: [3]
3,99 unequal: No Solution
Exploring Operation: 13*39=507, Resulting Numbers: [507]
507,99 unequal: No Solution
Moving to Node #0,3,1
Current State: 99:[34, 18], Operations: ['66-53=13', '5+13=18']
Exploring Operation: 34+18=52, Resulting Numbers: [52]
52,99 unequal: No Solution
Exploring Operation: 34*18=612, Resulting Numbers: [612]
612,99 unequal: No Solution
Exploring Operation: 34-18=16, Resulting Numbers: [16]
16,99 unequal: No Solution
Moving to Node #0,1,0
Current State: 99:[5, 21], Operations: ['66-34=32', '53-32=21']
Exploring Operation: 5*21=105, Resulting Numbers: [105]
105,99 unequal: No Solution
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,99 unequal: No Solution
Exploring Operation: 5+21=26, Resulting Numbers: [26]
26,99 unequal: No Solution
Moving to Node #0,3,3
Current State: 99:[5, 21], Operations: ['66-53=13', '34-13=21']
Exploring Operation: 5*21=105, Resulting Numbers: [105]
105,99 unequal: No Solution
Exploring Operation: 5+21=26, Resulting Numbers: [26]
26,99 unequal: No Solution
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,99 unequal: No Solution
Moving to Node #0,1,3
Current State: 99:[32, 48], Operations: ['66-34=32', '53-5=48']
Exploring Operation: 32*48=1536, Resulting Numbers: [1536]
1536,99 unequal: No Solution
Exploring Operation: 32+48=80, Resulting Numbers: [80]
80,99 unequal: No Solution
Exploring Operation: 48-32=16, Resulting Numbers: [16]
16,99 unequal: No Solution
Moving to Node #0,2,3
Current State: 99:[5, 47], Operations: ['53-34=19', '66-19=47']
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,99 unequal: No Solution
Exploring Operation: 5+47=52, Resulting Numbers: [52]
52,99 unequal: No Solution
Exploring Operation: 5*47=235, Resulting Numbers: [235]
235,99 unequal: No Solution
Moving to Node #0,2,0
Current State: 99:[5, 85], Operations: ['53-34=19', '66+19=85']
Exploring Operation: 5*85=425, Resulting Numbers: [425]
425,99 unequal: No Solution
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,99 unequal: No Solution
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,99 unequal: No Solution
Exploring Operation: 5+85=90, Resulting Numbers: [90]
90,99 unequal: No Solution
Moving to Node #0,1,4
Current State: 99:[5, 85], Operations: ['66-34=32', '53+32=85']
Exploring Operation: 5*85=425, Resulting Numbers: [425]
425,99 unequal: No Solution
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,99 unequal: No Solution
Exploring Operation: 5+85=90, Resulting Numbers: [90]
90,99 unequal: No Solution
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,99 unequal: No Solution
Moving to Node #0,1,1
Current State: 99:[53, 37], Operations: ['66-34=32', '5+32=37']
Exploring Operation: 53+37=90, Resulting Numbers: [90]
90,99 unequal: No Solution
Exploring Operation: 53*37=1961, Resulting Numbers: [1961]
1961,99 unequal: No Solution
Exploring Operation: 53-37=16, Resulting Numbers: [16]
16,99 unequal: No Solution
Moving to Node #0,1,2
Current State: 99:[32, 58], Operations: ['66-34=32', '5+53=58']
Exploring Operation: 58-32=26, Resulting Numbers: [26]
26,99 unequal: No Solution
Exploring Operation: 32*58=1856, Resulting Numbers: [1856]
1856,99 unequal: No Solution
Exploring Operation: 32+58=90, Resulting Numbers: [90]
90,99 unequal: No Solution
Moving to Node #0,2,1
Current State: 99:[19, 71], Operations: ['53-34=19', '66+5=71']
Exploring Operation: 19*71=1349, Resulting Numbers: [1349]
1349,99 unequal: No Solution
Exploring Operation: 71-19=52, Resulting Numbers: [52]
52,99 unequal: No Solution
Exploring Operation: 19+71=90, Resulting Numbers: [90]
90,99 unequal: No Solution
Moving to Node #0,2,4
Current State: 99:[19, 61], Operations: ['53-34=19', '66-5=61']
Exploring Operation: 61-19=42, Resulting Numbers: [42]
42,99 unequal: No Solution
Exploring Operation: 19*61=1159, Resulting Numbers: [1159]
1159,99 unequal: No Solution
Exploring Operation: 19+61=80, Resulting Numbers: [80]
80,99 unequal: No Solution
Moving to Node #0,2,2
Current State: 99:[66, 14], Operations: ['53-34=19', '19-5=14']
Exploring Operation: 66-14=52, Resulting Numbers: [52]
52,99 unequal: No Solution
Exploring Operation: 66+14=80, Resulting Numbers: [80]
80,99 unequal: No Solution
Exploring Operation: 66*14=924, Resulting Numbers: [924]
924,99 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
68,
54,
57,
20
] | 55 | [
"54-20=34",
"68/34=2",
"57-2=55"
] | Current State: 55:[68, 54, 57, 20], Operations: []
Exploring Operation: 54-20=34, Resulting Numbers: [68, 57, 34]
Generated Node #2: [68, 57, 34] from Operation: 54-20=34
Current State: 55:[68, 57, 34], Operations: ['54-20=34']
Exploring Operation: 68/34=2, Resulting Numbers: [57, 2]
Generated Node #3: [57, 2] from Operation: 68/34=2
Current State: 55:[57, 2], Operations: ['54-20=34', '68/34=2']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[68, 54, 57, 20], Operations: []
Exploring Operation: 68-57=11, Resulting Numbers: [54, 20, 11]
Generated Node #0,0: 55:[54, 20, 11] Operation: 68-57=11
Exploring Operation: 68-20=48, Resulting Numbers: [54, 57, 48]
Generated Node #0,1: 55:[54, 57, 48] Operation: 68-20=48
Moving to Node #0,0
Current State: 55:[54, 20, 11], Operations: ['68-57=11']
Exploring Operation: 20-11=9, Resulting Numbers: [54, 9]
Generated Node #0,0,0: 55:[54, 9] Operation: 20-11=9
Exploring Operation: 54+20=74, Resulting Numbers: [11, 74]
Generated Node #0,0,1: 55:[11, 74] Operation: 54+20=74
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 55:[54, 9], Operations: ['68-57=11', '20-11=9']
Exploring Operation: 54/9=6, Resulting Numbers: [6]
6,55 unequal: No Solution
Exploring Operation: 54+9=63, Resulting Numbers: [63]
63,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 55:[11, 74], Operations: ['68-57=11', '54+20=74']
Exploring Operation: 11+74=85, Resulting Numbers: [85]
85,55 unequal: No Solution
Exploring Operation: 74-11=63, Resulting Numbers: [63]
63,55 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: 55:[54, 57, 48], Operations: ['68-20=48']
Exploring Operation: 54-48=6, Resulting Numbers: [57, 6]
Generated Node #0,1,0: 55:[57, 6] Operation: 54-48=6
Exploring Operation: 57-48=9, Resulting Numbers: [54, 9]
Generated Node #0,1,1: 55:[54, 9] Operation: 57-48=9
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 55:[57, 6], Operations: ['68-20=48', '54-48=6']
Exploring Operation: 57+6=63, Resulting Numbers: [63]
63,55 unequal: No Solution
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 55:[54, 9], Operations: ['68-20=48', '57-48=9']
Exploring Operation: 54/9=6, Resulting Numbers: [6]
6,55 unequal: No Solution
Exploring Operation: 54+9=63, Resulting Numbers: [63]
63,55 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 |
[
11,
11,
80,
5
] | 75 | [
"11-11=0",
"80-5=75",
"0+75=75"
] | Current State: 75:[11, 11, 80, 5], Operations: []
Exploring Operation: 11-11=0, Resulting Numbers: [80, 5, 0]
Generated Node #2: [80, 5, 0] from Operation: 11-11=0
Current State: 75:[80, 5, 0], Operations: ['11-11=0']
Exploring Operation: 80-5=75, Resulting Numbers: [0, 75]
Generated Node #3: [0, 75] from Operation: 80-5=75
Current State: 75:[0, 75], Operations: ['11-11=0', '80-5=75']
Exploring Operation: 0+75=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[11, 11, 80, 5], Operations: []
Exploring Operation: 11+11=22, Resulting Numbers: [80, 5, 22]
Generated Node #0,0: 75:[80, 5, 22] Operation: 11+11=22
Exploring Operation: 11/11=1, Resulting Numbers: [80, 5, 1]
Generated Node #0,1: 75:[80, 5, 1] Operation: 11/11=1
Moving to Node #0,1
Current State: 75:[80, 5, 1], Operations: ['11/11=1']
Exploring Operation: 80/5=16, Resulting Numbers: [1, 16]
Generated Node #0,1,0: 75:[1, 16] Operation: 80/5=16
Exploring Operation: 80-5=75, Resulting Numbers: [1, 75]
Generated Node #0,1,1: 75:[1, 75] Operation: 80-5=75
Moving to Node #0,0
Current State: 75:[80, 5, 22], Operations: ['11+11=22']
Exploring Operation: 80/5=16, Resulting Numbers: [22, 16]
Generated Node #0,0,0: 75:[22, 16] Operation: 80/5=16
Exploring Operation: 80-5=75, Resulting Numbers: [22, 75]
Generated Node #0,0,1: 75:[22, 75] Operation: 80-5=75
Moving to Node #0,1,1
Current State: 75:[1, 75], Operations: ['11/11=1', '80-5=75']
Exploring Operation: 1*75=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[11, 11, 80, 5], Operations: []
Exploring Operation: 11/11=1, Resulting Numbers: [80, 5, 1]
Generated Node #0,1: 75:[80, 5, 1] Operation: 11/11=1
Moving to Node #0,1
Current State: 75:[80, 5, 1], Operations: ['11/11=1']
Exploring Operation: 80-5=75, Resulting Numbers: [1, 75]
Generated Node #0,1,1: 75:[1, 75] Operation: 80-5=75
Moving to Node #0,1,1
Current State: 75:[1, 75], Operations: ['11/11=1', '80-5=75']
Exploring Operation: 1*75=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 0.990451 | hs_2 | sum_heuristic |
[
2,
63,
30,
47
] | 61 | [
"2*47=94",
"63-30=33",
"94-33=61"
] | Current State: 61:[2, 63, 30, 47], Operations: []
Exploring Operation: 2*47=94, Resulting Numbers: [63, 30, 94]
Generated Node #2: [63, 30, 94] from Operation: 2*47=94
Current State: 61:[63, 30, 94], Operations: ['2*47=94']
Exploring Operation: 63-30=33, Resulting Numbers: [94, 33]
Generated Node #3: [94, 33] from Operation: 63-30=33
Current State: 61:[94, 33], Operations: ['2*47=94', '63-30=33']
Exploring Operation: 94-33=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[2, 63, 30, 47], Operations: []
Exploring Operation: 2*30=60, Resulting Numbers: [63, 47, 60]
Generated Node #0,0: 61:[63, 47, 60] Operation: 2*30=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[63, 47, 60], Operations: ['2*30=60']
Exploring Operation: 63-47=16, Resulting Numbers: [60, 16]
Generated Node #0,0,0: 61:[60, 16] Operation: 63-47=16
Moving to Node #0,0,0
Current State: 61:[60, 16], Operations: ['2*30=60', '63-47=16']
Exploring Operation: 60+16=76, Resulting Numbers: [76]
76,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
5,
28,
23,
14
] | 19 | [
"5*14=70",
"28+23=51",
"70-51=19"
] | Current State: 19:[5, 28, 23, 14], Operations: []
Exploring Operation: 5*14=70, Resulting Numbers: [28, 23, 70]
Generated Node #2: [28, 23, 70] from Operation: 5*14=70
Current State: 19:[28, 23, 70], Operations: ['5*14=70']
Exploring Operation: 28+23=51, Resulting Numbers: [70, 51]
Generated Node #3: [70, 51] from Operation: 28+23=51
Current State: 19:[70, 51], Operations: ['5*14=70', '28+23=51']
Exploring Operation: 70-51=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[5, 28, 23, 14], Operations: []
Exploring Operation: 5+14=19, Resulting Numbers: [28, 23, 19]
Generated Node #0,0: 19:[28, 23, 19] Operation: 5+14=19
Exploring Operation: 28-5=23, Resulting Numbers: [23, 14, 23]
Generated Node #0,1: 19:[23, 14, 23] Operation: 28-5=23
Moving to Node #0,0
Current State: 19:[28, 23, 19], Operations: ['5+14=19']
Exploring Operation: 28-23=5, Resulting Numbers: [19, 5]
Generated Node #0,0,0: 19:[19, 5] Operation: 28-23=5
Exploring Operation: 28-19=9, Resulting Numbers: [23, 9]
Generated Node #0,0,1: 19:[23, 9] Operation: 28-19=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 19:[19, 5], Operations: ['5+14=19', '28-23=5']
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,19 unequal: No Solution
Exploring Operation: 19+5=24, Resulting Numbers: [24]
24,19 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 #0,0,1
Current State: 19:[23, 9], Operations: ['5+14=19', '28-19=9']
Exploring Operation: 23+9=32, Resulting Numbers: [32]
32,19 unequal: No Solution
Exploring Operation: 23-9=14, Resulting Numbers: [14]
14,19 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: 19:[23, 14, 23], Operations: ['28-5=23']
Exploring Operation: 23-14=9, Resulting Numbers: [23, 9]
Generated Node #0,1,0: 19:[23, 9] Operation: 23-14=9
Exploring Operation: 23-14=9, Resulting Numbers: [23, 9]
Generated Node #0,1,1: 19:[23, 9] Operation: 23-14=9
Moving to Node #0,1,0
Current State: 19:[23, 9], Operations: ['28-5=23', '23-14=9']
Exploring Operation: 23+9=32, Resulting Numbers: [32]
32,19 unequal: No Solution
Exploring Operation: 23-9=14, Resulting Numbers: [14]
14,19 unequal: No Solution
Moving to Node #0,1,1
Current State: 19:[23, 9], Operations: ['28-5=23', '23-14=9']
Exploring Operation: 23-9=14, Resulting Numbers: [14]
14,19 unequal: No Solution
Exploring Operation: 23+9=32, Resulting Numbers: [32]
32,19 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
76,
65,
1,
29
] | 41 | [
"76-65=11",
"1+29=30",
"11+30=41"
] | Current State: 41:[76, 65, 1, 29], Operations: []
Exploring Operation: 76-65=11, Resulting Numbers: [1, 29, 11]
Generated Node #2: [1, 29, 11] from Operation: 76-65=11
Current State: 41:[1, 29, 11], Operations: ['76-65=11']
Exploring Operation: 1+29=30, Resulting Numbers: [11, 30]
Generated Node #3: [11, 30] from Operation: 1+29=30
Current State: 41:[11, 30], Operations: ['76-65=11', '1+29=30']
Exploring Operation: 11+30=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[76, 65, 1, 29], Operations: []
Exploring Operation: 76-29=47, Resulting Numbers: [65, 1, 47]
Generated Node #0,0: 41:[65, 1, 47] Operation: 76-29=47
Exploring Operation: 76-1=75, Resulting Numbers: [65, 29, 75]
Generated Node #0,1: 41:[65, 29, 75] Operation: 76-1=75
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[65, 1, 47], Operations: ['76-29=47']
Exploring Operation: 65-1=64, Resulting Numbers: [47, 64]
Generated Node #0,0,0: 41:[47, 64] Operation: 65-1=64
Exploring Operation: 47-1=46, Resulting Numbers: [65, 46]
Generated Node #0,0,1: 41:[65, 46] Operation: 47-1=46
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 41:[47, 64], Operations: ['76-29=47', '65-1=64']
Exploring Operation: 64-47=17, Resulting Numbers: [17]
17,41 unequal: No Solution
Exploring Operation: 47+64=111, Resulting Numbers: [111]
111,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 41:[65, 46], Operations: ['76-29=47', '47-1=46']
Exploring Operation: 65-46=19, Resulting Numbers: [19]
19,41 unequal: No Solution
Exploring Operation: 65+46=111, Resulting Numbers: [111]
111,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 41:[65, 29, 75], Operations: ['76-1=75']
Exploring Operation: 65-29=36, Resulting Numbers: [75, 36]
Generated Node #0,1,0: 41:[75, 36] Operation: 65-29=36
Exploring Operation: 75-29=46, Resulting Numbers: [65, 46]
Generated Node #0,1,1: 41:[65, 46] Operation: 75-29=46
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 41:[65, 46], Operations: ['76-1=75', '75-29=46']
Exploring Operation: 65+46=111, Resulting Numbers: [111]
111,41 unequal: No Solution
Exploring Operation: 65-46=19, Resulting Numbers: [19]
19,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 41:[75, 36], Operations: ['76-1=75', '65-29=36']
Exploring Operation: 75-36=39, Resulting Numbers: [39]
39,41 unequal: No Solution
Exploring Operation: 75+36=111, Resulting Numbers: [111]
111,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
32,
90,
2,
13
] | 73 | [
"90-32=58",
"2+13=15",
"58+15=73"
] | Current State: 73:[32, 90, 2, 13], Operations: []
Exploring Operation: 90-32=58, Resulting Numbers: [2, 13, 58]
Generated Node #2: [2, 13, 58] from Operation: 90-32=58
Current State: 73:[2, 13, 58], Operations: ['90-32=58']
Exploring Operation: 2+13=15, Resulting Numbers: [58, 15]
Generated Node #3: [58, 15] from Operation: 2+13=15
Current State: 73:[58, 15], Operations: ['90-32=58', '2+13=15']
Exploring Operation: 58+15=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[32, 90, 2, 13], Operations: []
Exploring Operation: 2*13=26, Resulting Numbers: [32, 90, 26]
Generated Node #0,0: 73:[32, 90, 26] Operation: 2*13=26
Exploring Operation: 32*2=64, Resulting Numbers: [90, 13, 64]
Generated Node #0,1: 73:[90, 13, 64] Operation: 32*2=64
Moving to Node #0,1
Current State: 73:[90, 13, 64], Operations: ['32*2=64']
Exploring Operation: 13+64=77, Resulting Numbers: [90, 77]
Generated Node #0,1,0: 73:[90, 77] Operation: 13+64=77
Exploring Operation: 90-13=77, Resulting Numbers: [64, 77]
Generated Node #0,1,1: 73:[64, 77] Operation: 90-13=77
Moving to Node #0,0
Current State: 73:[32, 90, 26], Operations: ['2*13=26']
Exploring Operation: 90-26=64, Resulting Numbers: [32, 64]
Generated Node #0,0,0: 73:[32, 64] Operation: 90-26=64
Exploring Operation: 32+26=58, Resulting Numbers: [90, 58]
Generated Node #0,0,1: 73:[90, 58] Operation: 32+26=58
Moving to Node #0,1,1
Current State: 73:[64, 77], Operations: ['32*2=64', '90-13=77']
Exploring Operation: 64+77=141, Resulting Numbers: [141]
141,73 unequal: No Solution
Exploring Operation: 77-64=13, Resulting Numbers: [13]
13,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[90, 77], Operations: ['32*2=64', '13+64=77']
Exploring Operation: 90-77=13, Resulting Numbers: [13]
13,73 unequal: No Solution
Exploring Operation: 90+77=167, Resulting Numbers: [167]
167,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[90, 58], Operations: ['2*13=26', '32+26=58']
Exploring Operation: 90-58=32, Resulting Numbers: [32]
32,73 unequal: No Solution
Exploring Operation: 90+58=148, Resulting Numbers: [148]
148,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[32, 64], Operations: ['2*13=26', '90-26=64']
Exploring Operation: 32+64=96, Resulting Numbers: [96]
96,73 unequal: No Solution
Exploring Operation: 64-32=32, Resulting Numbers: [32]
32,73 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
60,
38,
41,
5
] | 68 | [
"60-38=22",
"41+5=46",
"22+46=68"
] | Current State: 68:[60, 38, 41, 5], Operations: []
Exploring Operation: 60-38=22, Resulting Numbers: [41, 5, 22]
Generated Node #2: [41, 5, 22] from Operation: 60-38=22
Current State: 68:[41, 5, 22], Operations: ['60-38=22']
Exploring Operation: 41+5=46, Resulting Numbers: [22, 46]
Generated Node #3: [22, 46] from Operation: 41+5=46
Current State: 68:[22, 46], Operations: ['60-38=22', '41+5=46']
Exploring Operation: 22+46=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[60, 38, 41, 5], Operations: []
Exploring Operation: 60-41=19, Resulting Numbers: [38, 5, 19]
Generated Node #0,0: 68:[38, 5, 19] Operation: 60-41=19
Exploring Operation: 41-5=36, Resulting Numbers: [60, 38, 36]
Generated Node #0,1: 68:[60, 38, 36] Operation: 41-5=36
Exploring Operation: 60-38=22, Resulting Numbers: [41, 5, 22]
Generated Node #0,2: 68:[41, 5, 22] Operation: 60-38=22
Exploring Operation: 41-38=3, Resulting Numbers: [60, 5, 3]
Generated Node #0,3: 68:[60, 5, 3] Operation: 41-38=3
Exploring Operation: 60+5=65, Resulting Numbers: [38, 41, 65]
Generated Node #0,4: 68:[38, 41, 65] Operation: 60+5=65
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[38, 5, 19], Operations: ['60-41=19']
Exploring Operation: 19-5=14, Resulting Numbers: [38, 14]
Generated Node #0,0,0: 68:[38, 14] Operation: 19-5=14
Exploring Operation: 38+5=43, Resulting Numbers: [19, 43]
Generated Node #0,0,1: 68:[19, 43] Operation: 38+5=43
Exploring Operation: 38/19=2, Resulting Numbers: [5, 2]
Generated Node #0,0,2: 68:[5, 2] Operation: 38/19=2
Exploring Operation: 38-19=19, Resulting Numbers: [5, 19]
Generated Node #0,0,3: 68:[5, 19] Operation: 38-19=19
Exploring Operation: 38-5=33, Resulting Numbers: [19, 33]
Generated Node #0,0,4: 68:[19, 33] Operation: 38-5=33
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 68:[5, 2], Operations: ['60-41=19', '38/19=2']
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,68 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,68 unequal: No Solution
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,68 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 #0,0,3
Current State: 68:[5, 19], Operations: ['60-41=19', '38-19=19']
Exploring Operation: 5*19=95, Resulting Numbers: [95]
95,68 unequal: No Solution
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,68 unequal: No Solution
Exploring Operation: 5+19=24, Resulting Numbers: [24]
24,68 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 #0,0,4
Current State: 68:[19, 33], Operations: ['60-41=19', '38-5=33']
Exploring Operation: 19+33=52, Resulting Numbers: [52]
52,68 unequal: No Solution
Exploring Operation: 33-19=14, Resulting Numbers: [14]
14,68 unequal: No Solution
Exploring Operation: 19*33=627, Resulting Numbers: [627]
627,68 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 #0,0,0
Current State: 68:[38, 14], Operations: ['60-41=19', '19-5=14']
Exploring Operation: 38+14=52, Resulting Numbers: [52]
52,68 unequal: No Solution
Exploring Operation: 38*14=532, Resulting Numbers: [532]
532,68 unequal: No Solution
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,68 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:[19, 43], Operations: ['60-41=19', '38+5=43']
Exploring Operation: 43-19=24, Resulting Numbers: [24]
24,68 unequal: No Solution
Exploring Operation: 19+43=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Exploring Operation: 19*43=817, Resulting Numbers: [817]
817,68 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 #0,3
Current State: 68:[60, 5, 3], Operations: ['41-38=3']
Exploring Operation: 60+3=63, Resulting Numbers: [5, 63]
Generated Node #0,3,0: 68:[5, 63] Operation: 60+3=63
Exploring Operation: 60+5=65, Resulting Numbers: [3, 65]
Generated Node #0,3,1: 68:[3, 65] Operation: 60+5=65
Exploring Operation: 60/3=20, Resulting Numbers: [5, 20]
Generated Node #0,3,2: 68:[5, 20] Operation: 60/3=20
Exploring Operation: 60/5=12, Resulting Numbers: [3, 12]
Generated Node #0,3,3: 68:[3, 12] Operation: 60/5=12
Exploring Operation: 5-3=2, Resulting Numbers: [60, 2]
Generated Node #0,3,4: 68:[60, 2] Operation: 5-3=2
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 68:[3, 65], Operations: ['41-38=3', '60+5=65']
Exploring Operation: 3+65=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[60, 38, 41, 5], Operations: []
Exploring Operation: 41-38=3, Resulting Numbers: [60, 5, 3]
Generated Node #0,3: 68:[60, 5, 3] Operation: 41-38=3
Moving to Node #0,3
Current State: 68:[60, 5, 3], Operations: ['41-38=3']
Exploring Operation: 60+5=65, Resulting Numbers: [3, 65]
Generated Node #0,3,1: 68:[3, 65] Operation: 60+5=65
Moving to Node #0,3,1
Current State: 68:[3, 65], Operations: ['41-38=3', '60+5=65']
Exploring Operation: 3+65=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.969618 | hs_5 | mult_heuristic |
[
27,
66,
1,
32
] | 54 | [
"27*66=1782",
"1+32=33",
"1782/33=54"
] | Current State: 54:[27, 66, 1, 32], Operations: []
Exploring Operation: 27*66=1782, Resulting Numbers: [1, 32, 1782]
Generated Node #2: [1, 32, 1782] from Operation: 27*66=1782
Current State: 54:[1, 32, 1782], Operations: ['27*66=1782']
Exploring Operation: 1+32=33, Resulting Numbers: [1782, 33]
Generated Node #3: [1782, 33] from Operation: 1+32=33
Current State: 54:[1782, 33], Operations: ['27*66=1782', '1+32=33']
Exploring Operation: 1782/33=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[27, 66, 1, 32], Operations: []
Exploring Operation: 66-32=34, Resulting Numbers: [27, 1, 34]
Generated Node #0,0: 54:[27, 1, 34] Operation: 66-32=34
Moving to Node #0,0
Current State: 54:[27, 1, 34], Operations: ['66-32=34']
Exploring Operation: 34-27=7, Resulting Numbers: [1, 7]
Generated Node #0,0,0: 54:[1, 7] Operation: 34-27=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 54:[1, 7], Operations: ['66-32=34', '34-27=7']
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,54 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 |
[
40,
39,
66,
96
] | 83 | [
"40+39=79",
"66+96=162",
"162-79=83"
] | Current State: 83:[40, 39, 66, 96], Operations: []
Exploring Operation: 40+39=79, Resulting Numbers: [66, 96, 79]
Generated Node #2: [66, 96, 79] from Operation: 40+39=79
Current State: 83:[66, 96, 79], Operations: ['40+39=79']
Exploring Operation: 66+96=162, Resulting Numbers: [79, 162]
Generated Node #3: [79, 162] from Operation: 66+96=162
Current State: 83:[79, 162], Operations: ['40+39=79', '66+96=162']
Exploring Operation: 162-79=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[40, 39, 66, 96], Operations: []
Exploring Operation: 40+39=79, Resulting Numbers: [66, 96, 79]
Generated Node #0,0: 83:[66, 96, 79] Operation: 40+39=79
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[66, 96, 79], Operations: ['40+39=79']
Exploring Operation: 96-66=30, Resulting Numbers: [79, 30]
Generated Node #0,0,0: 83:[79, 30] Operation: 96-66=30
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[79, 30], Operations: ['40+39=79', '96-66=30']
Exploring Operation: 79+30=109, Resulting Numbers: [109]
109,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
58,
20,
24,
44
] | 98 | [
"58+20=78",
"44-24=20",
"78+20=98"
] | Current State: 98:[58, 20, 24, 44], Operations: []
Exploring Operation: 58+20=78, Resulting Numbers: [24, 44, 78]
Generated Node #2: [24, 44, 78] from Operation: 58+20=78
Current State: 98:[24, 44, 78], Operations: ['58+20=78']
Exploring Operation: 44-24=20, Resulting Numbers: [78, 20]
Generated Node #3: [78, 20] from Operation: 44-24=20
Current State: 98:[78, 20], Operations: ['58+20=78', '44-24=20']
Exploring Operation: 78+20=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[58, 20, 24, 44], Operations: []
Exploring Operation: 58-44=14, Resulting Numbers: [20, 24, 14]
Generated Node #0,0: 98:[20, 24, 14] Operation: 58-44=14
Exploring Operation: 20+24=44, Resulting Numbers: [58, 44, 44]
Generated Node #0,1: 98:[58, 44, 44] Operation: 20+24=44
Exploring Operation: 24-20=4, Resulting Numbers: [58, 44, 4]
Generated Node #0,2: 98:[58, 44, 4] Operation: 24-20=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[20, 24, 14], Operations: ['58-44=14']
Exploring Operation: 20+24=44, Resulting Numbers: [14, 44]
Generated Node #0,0,0: 98:[14, 44] Operation: 20+24=44
Exploring Operation: 24-20=4, Resulting Numbers: [14, 4]
Generated Node #0,0,1: 98:[14, 4] Operation: 24-20=4
Exploring Operation: 24-14=10, Resulting Numbers: [20, 10]
Generated Node #0,0,2: 98:[20, 10] Operation: 24-14=10
Moving to Node #0,0,1
Current State: 98:[14, 4], Operations: ['58-44=14', '24-20=4']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,98 unequal: No Solution
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,98 unequal: No Solution
Moving to Node #0,0,0
Current State: 98:[14, 44], Operations: ['58-44=14', '20+24=44']
Exploring Operation: 14+44=58, Resulting Numbers: [58]
58,98 unequal: No Solution
Exploring Operation: 44-14=30, Resulting Numbers: [30]
30,98 unequal: No Solution
Exploring Operation: 14*44=616, Resulting Numbers: [616]
616,98 unequal: No Solution
Moving to Node #0,0,2
Current State: 98:[20, 10], Operations: ['58-44=14', '24-14=10']
Exploring Operation: 20+10=30, Resulting Numbers: [30]
30,98 unequal: No Solution
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 98:[58, 44, 4], Operations: ['24-20=4']
Exploring Operation: 58-44=14, Resulting Numbers: [4, 14]
Generated Node #0,2,0: 98:[4, 14] Operation: 58-44=14
Exploring Operation: 58+44=102, Resulting Numbers: [4, 102]
Generated Node #0,2,1: 98:[4, 102] Operation: 58+44=102
Exploring Operation: 58-4=54, Resulting Numbers: [44, 54]
Generated Node #0,2,2: 98:[44, 54] Operation: 58-4=54
Moving to Node #0,2,0
Current State: 98:[4, 14], Operations: ['24-20=4', '58-44=14']
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,98 unequal: No Solution
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,98 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Moving to Node #0,2,1
Current State: 98:[4, 102], Operations: ['24-20=4', '58+44=102']
Exploring Operation: 102-4=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[58, 20, 24, 44], Operations: []
Exploring Operation: 24-20=4, Resulting Numbers: [58, 44, 4]
Generated Node #0,2: 98:[58, 44, 4] Operation: 24-20=4
Moving to Node #0,2
Current State: 98:[58, 44, 4], Operations: ['24-20=4']
Exploring Operation: 58+44=102, Resulting Numbers: [4, 102]
Generated Node #0,2,1: 98:[4, 102] Operation: 58+44=102
Moving to Node #0,2,1
Current State: 98:[4, 102], Operations: ['24-20=4', '58+44=102']
Exploring Operation: 102-4=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_3 | sum_heuristic |
[
91,
59,
56,
1
] | 87 | [
"91-59=32",
"56-1=55",
"32+55=87"
] | Current State: 87:[91, 59, 56, 1], Operations: []
Exploring Operation: 91-59=32, Resulting Numbers: [56, 1, 32]
Generated Node #2: [56, 1, 32] from Operation: 91-59=32
Current State: 87:[56, 1, 32], Operations: ['91-59=32']
Exploring Operation: 56-1=55, Resulting Numbers: [32, 55]
Generated Node #3: [32, 55] from Operation: 56-1=55
Current State: 87:[32, 55], Operations: ['91-59=32', '56-1=55']
Exploring Operation: 32+55=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[91, 59, 56, 1], Operations: []
Exploring Operation: 59+56=115, Resulting Numbers: [91, 1, 115]
Generated Node #0,0: 87:[91, 1, 115] Operation: 59+56=115
Exploring Operation: 59-56=3, Resulting Numbers: [91, 1, 3]
Generated Node #0,1: 87:[91, 1, 3] Operation: 59-56=3
Exploring Operation: 91-59=32, Resulting Numbers: [56, 1, 32]
Generated Node #0,2: 87:[56, 1, 32] Operation: 91-59=32
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[91, 1, 3], Operations: ['59-56=3']
Exploring Operation: 91*1=91, Resulting Numbers: [3, 91]
Generated Node #0,1,0: 87:[3, 91] Operation: 91*1=91
Exploring Operation: 91-1=90, Resulting Numbers: [3, 90]
Generated Node #0,1,1: 87:[3, 90] Operation: 91-1=90
Exploring Operation: 91-3=88, Resulting Numbers: [1, 88]
Generated Node #0,1,2: 87:[1, 88] Operation: 91-3=88
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 87:[3, 90], Operations: ['59-56=3', '91-1=90']
Exploring Operation: 90/3=30, Resulting Numbers: [30]
30,87 unequal: No Solution
Exploring Operation: 3+90=93, Resulting Numbers: [93]
93,87 unequal: No Solution
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[91, 59, 56, 1], Operations: []
Exploring Operation: 59-56=3, Resulting Numbers: [91, 1, 3]
Generated Node #0,1: 87:[91, 1, 3] Operation: 59-56=3
Moving to Node #0,1
Current State: 87:[91, 1, 3], Operations: ['59-56=3']
Exploring Operation: 91-1=90, Resulting Numbers: [3, 90]
Generated Node #0,1,1: 87:[3, 90] Operation: 91-1=90
Moving to Node #0,1,1
Current State: 87:[3, 90], Operations: ['59-56=3', '91-1=90']
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
93,
2,
96,
24
] | 42 | [
"96-93=3",
"24-3=21",
"2*21=42"
] | Current State: 42:[93, 2, 96, 24], Operations: []
Exploring Operation: 96-93=3, Resulting Numbers: [2, 24, 3]
Generated Node #2: [2, 24, 3] from Operation: 96-93=3
Current State: 42:[2, 24, 3], Operations: ['96-93=3']
Exploring Operation: 24-3=21, Resulting Numbers: [2, 21]
Generated Node #3: [2, 21] from Operation: 24-3=21
Current State: 42:[2, 21], Operations: ['96-93=3', '24-3=21']
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[93, 2, 96, 24], Operations: []
Exploring Operation: 96-93=3, Resulting Numbers: [2, 24, 3]
Generated Node #0,0: 42:[2, 24, 3] Operation: 96-93=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[2, 24, 3], Operations: ['96-93=3']
Exploring Operation: 24-3=21, Resulting Numbers: [2, 21]
Generated Node #0,0,0: 42:[2, 21] Operation: 24-3=21
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 42:[2, 21], Operations: ['96-93=3', '24-3=21']
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[93, 2, 96, 24], Operations: []
Exploring Operation: 96-93=3, Resulting Numbers: [2, 24, 3]
Generated Node #0,0: 42:[2, 24, 3] Operation: 96-93=3
Moving to Node #0,0
Current State: 42:[2, 24, 3], Operations: ['96-93=3']
Exploring Operation: 24-3=21, Resulting Numbers: [2, 21]
Generated Node #0,0,0: 42:[2, 21] Operation: 24-3=21
Moving to Node #0,0,0
Current State: 42:[2, 21], Operations: ['96-93=3', '24-3=21']
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
78,
13,
88,
15
] | 29 | [
"78+88=166",
"13*15=195",
"195-166=29"
] | Current State: 29:[78, 13, 88, 15], Operations: []
Exploring Operation: 78+88=166, Resulting Numbers: [13, 15, 166]
Generated Node #2: [13, 15, 166] from Operation: 78+88=166
Current State: 29:[13, 15, 166], Operations: ['78+88=166']
Exploring Operation: 13*15=195, Resulting Numbers: [166, 195]
Generated Node #3: [166, 195] from Operation: 13*15=195
Current State: 29:[166, 195], Operations: ['78+88=166', '13*15=195']
Exploring Operation: 195-166=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[78, 13, 88, 15], Operations: []
Exploring Operation: 88-78=10, Resulting Numbers: [13, 15, 10]
Generated Node #0,0: 29:[13, 15, 10] Operation: 88-78=10
Moving to Node #0,0
Current State: 29:[13, 15, 10], Operations: ['88-78=10']
Exploring Operation: 13+15=28, Resulting Numbers: [10, 28]
Generated Node #0,0,0: 29:[10, 28] Operation: 13+15=28
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 29:[10, 28], Operations: ['88-78=10', '13+15=28']
Exploring Operation: 10+28=38, Resulting Numbers: [38]
38,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
24,
6,
94,
48
] | 28 | [
"24-6=18",
"94-48=46",
"46-18=28"
] | Current State: 28:[24, 6, 94, 48], Operations: []
Exploring Operation: 24-6=18, Resulting Numbers: [94, 48, 18]
Generated Node #2: [94, 48, 18] from Operation: 24-6=18
Current State: 28:[94, 48, 18], Operations: ['24-6=18']
Exploring Operation: 94-48=46, Resulting Numbers: [18, 46]
Generated Node #3: [18, 46] from Operation: 94-48=46
Current State: 28:[18, 46], Operations: ['24-6=18', '94-48=46']
Exploring Operation: 46-18=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[24, 6, 94, 48], Operations: []
Exploring Operation: 48-24=24, Resulting Numbers: [6, 94, 24]
Generated Node #0,0: 28:[6, 94, 24] Operation: 48-24=24
Exploring Operation: 94-24=70, Resulting Numbers: [6, 48, 70]
Generated Node #0,1: 28:[6, 48, 70] Operation: 94-24=70
Exploring Operation: 94-48=46, Resulting Numbers: [24, 6, 46]
Generated Node #0,2: 28:[24, 6, 46] Operation: 94-48=46
Exploring Operation: 48/24=2, Resulting Numbers: [6, 94, 2]
Generated Node #0,3: 28:[6, 94, 2] Operation: 48/24=2
Moving to Node #0,2
Current State: 28:[24, 6, 46], Operations: ['94-48=46']
Exploring Operation: 24+6=30, Resulting Numbers: [46, 30]
Generated Node #0,2,0: 28:[46, 30] Operation: 24+6=30
Exploring Operation: 24/6=4, Resulting Numbers: [46, 4]
Generated Node #0,2,1: 28:[46, 4] Operation: 24/6=4
Exploring Operation: 46-6=40, Resulting Numbers: [24, 40]
Generated Node #0,2,2: 28:[24, 40] Operation: 46-6=40
Exploring Operation: 46-24=22, Resulting Numbers: [6, 22]
Generated Node #0,2,3: 28:[6, 22] Operation: 46-24=22
Moving to Node #0,1
Current State: 28:[6, 48, 70], Operations: ['94-24=70']
Exploring Operation: 48/6=8, Resulting Numbers: [70, 8]
Generated Node #0,1,0: 28:[70, 8] Operation: 48/6=8
Exploring Operation: 70-48=22, Resulting Numbers: [6, 22]
Generated Node #0,1,1: 28:[6, 22] Operation: 70-48=22
Exploring Operation: 48-6=42, Resulting Numbers: [70, 42]
Generated Node #0,1,2: 28:[70, 42] Operation: 48-6=42
Exploring Operation: 70-6=64, Resulting Numbers: [48, 64]
Generated Node #0,1,3: 28:[48, 64] Operation: 70-6=64
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 28:[6, 22], Operations: ['94-24=70', '70-48=22']
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,28 unequal: No Solution
Exploring Operation: 6+22=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[24, 6, 94, 48], Operations: []
Exploring Operation: 94-24=70, Resulting Numbers: [6, 48, 70]
Generated Node #0,1: 28:[6, 48, 70] Operation: 94-24=70
Moving to Node #0,1
Current State: 28:[6, 48, 70], Operations: ['94-24=70']
Exploring Operation: 70-48=22, Resulting Numbers: [6, 22]
Generated Node #0,1,1: 28:[6, 22] Operation: 70-48=22
Moving to Node #0,1,1
Current State: 28:[6, 22], Operations: ['94-24=70', '70-48=22']
Exploring Operation: 6+22=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | mult_heuristic |
[
27,
91,
62,
51
] | 49 | [
"91-27=64",
"62+51=113",
"113-64=49"
] | Current State: 49:[27, 91, 62, 51], Operations: []
Exploring Operation: 91-27=64, Resulting Numbers: [62, 51, 64]
Generated Node #2: [62, 51, 64] from Operation: 91-27=64
Current State: 49:[62, 51, 64], Operations: ['91-27=64']
Exploring Operation: 62+51=113, Resulting Numbers: [64, 113]
Generated Node #3: [64, 113] from Operation: 62+51=113
Current State: 49:[64, 113], Operations: ['91-27=64', '62+51=113']
Exploring Operation: 113-64=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[27, 91, 62, 51], Operations: []
Exploring Operation: 91-27=64, Resulting Numbers: [62, 51, 64]
Generated Node #0,0: 49:[62, 51, 64] Operation: 91-27=64
Exploring Operation: 91-62=29, Resulting Numbers: [27, 51, 29]
Generated Node #0,1: 49:[27, 51, 29] Operation: 91-62=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[62, 51, 64], Operations: ['91-27=64']
Exploring Operation: 62-51=11, Resulting Numbers: [64, 11]
Generated Node #0,0,0: 49:[64, 11] Operation: 62-51=11
Exploring Operation: 64-62=2, Resulting Numbers: [51, 2]
Generated Node #0,0,1: 49:[51, 2] Operation: 64-62=2
Moving to Node #0,0,1
Current State: 49:[51, 2], Operations: ['91-27=64', '64-62=2']
Exploring Operation: 51+2=53, Resulting Numbers: [53]
53,49 unequal: No Solution
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[27, 91, 62, 51], Operations: []
Exploring Operation: 91-27=64, Resulting Numbers: [62, 51, 64]
Generated Node #0,0: 49:[62, 51, 64] Operation: 91-27=64
Moving to Node #0,0
Current State: 49:[62, 51, 64], Operations: ['91-27=64']
Exploring Operation: 64-62=2, Resulting Numbers: [51, 2]
Generated Node #0,0,1: 49:[51, 2] Operation: 64-62=2
Moving to Node #0,0,1
Current State: 49:[51, 2], Operations: ['91-27=64', '64-62=2']
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
79,
34,
51,
85
] | 83 | [
"51+85=136",
"136/34=4",
"79+4=83"
] | Current State: 83:[79, 34, 51, 85], Operations: []
Exploring Operation: 51+85=136, Resulting Numbers: [79, 34, 136]
Generated Node #2: [79, 34, 136] from Operation: 51+85=136
Current State: 83:[79, 34, 136], Operations: ['51+85=136']
Exploring Operation: 136/34=4, Resulting Numbers: [79, 4]
Generated Node #3: [79, 4] from Operation: 136/34=4
Current State: 83:[79, 4], Operations: ['51+85=136', '136/34=4']
Exploring Operation: 79+4=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[79, 34, 51, 85], Operations: []
Exploring Operation: 85-34=51, Resulting Numbers: [79, 51, 51]
Generated Node #0,0: 83:[79, 51, 51] Operation: 85-34=51
Exploring Operation: 34+51=85, Resulting Numbers: [79, 85, 85]
Generated Node #0,1: 83:[79, 85, 85] Operation: 34+51=85
Exploring Operation: 51-34=17, Resulting Numbers: [79, 85, 17]
Generated Node #0,2: 83:[79, 85, 17] Operation: 51-34=17
Exploring Operation: 79-34=45, Resulting Numbers: [51, 85, 45]
Generated Node #0,3: 83:[51, 85, 45] Operation: 79-34=45
Exploring Operation: 79+34=113, Resulting Numbers: [51, 85, 113]
Generated Node #0,4: 83:[51, 85, 113] Operation: 79+34=113
Moving to Node #0,1
Current State: 83:[79, 85, 85], Operations: ['34+51=85']
Exploring Operation: 79+85=164, Resulting Numbers: [85, 164]
Generated Node #0,1,0: 83:[85, 164] Operation: 79+85=164
Exploring Operation: 85-79=6, Resulting Numbers: [85, 6]
Generated Node #0,1,1: 83:[85, 6] Operation: 85-79=6
Exploring Operation: 85/85=1, Resulting Numbers: [79, 1]
Generated Node #0,1,2: 83:[79, 1] Operation: 85/85=1
Exploring Operation: 85-79=6, Resulting Numbers: [85, 6]
Generated Node #0,1,3: 83:[85, 6] Operation: 85-79=6
Exploring Operation: 79+85=164, Resulting Numbers: [85, 164]
Generated Node #0,1,4: 83:[85, 164] Operation: 79+85=164
Moving to Node #0,4
Current State: 83:[51, 85, 113], Operations: ['79+34=113']
Exploring Operation: 51+85=136, Resulting Numbers: [113, 136]
Generated Node #0,4,0: 83:[113, 136] Operation: 51+85=136
Exploring Operation: 113-85=28, Resulting Numbers: [51, 28]
Generated Node #0,4,1: 83:[51, 28] Operation: 113-85=28
Exploring Operation: 51+113=164, Resulting Numbers: [85, 164]
Generated Node #0,4,2: 83:[85, 164] Operation: 51+113=164
Exploring Operation: 85-51=34, Resulting Numbers: [113, 34]
Generated Node #0,4,3: 83:[113, 34] Operation: 85-51=34
Exploring Operation: 113-51=62, Resulting Numbers: [85, 62]
Generated Node #0,4,4: 83:[85, 62] Operation: 113-51=62
Moving to Node #0,0
Current State: 83:[79, 51, 51], Operations: ['85-34=51']
Exploring Operation: 51/51=1, Resulting Numbers: [79, 1]
Generated Node #0,0,0: 83:[79, 1] Operation: 51/51=1
Exploring Operation: 79+51=130, Resulting Numbers: [51, 130]
Generated Node #0,0,1: 83:[51, 130] Operation: 79+51=130
Exploring Operation: 51+51=102, Resulting Numbers: [79, 102]
Generated Node #0,0,2: 83:[79, 102] Operation: 51+51=102
Exploring Operation: 79+51=130, Resulting Numbers: [51, 130]
Generated Node #0,0,3: 83:[51, 130] Operation: 79+51=130
Exploring Operation: 79-51=28, Resulting Numbers: [51, 28]
Generated Node #0,0,4: 83:[51, 28] Operation: 79-51=28
Moving to Node #0,2
Current State: 83:[79, 85, 17], Operations: ['51-34=17']
Exploring Operation: 85/17=5, Resulting Numbers: [79, 5]
Generated Node #0,2,0: 83:[79, 5] Operation: 85/17=5
Exploring Operation: 79+17=96, Resulting Numbers: [85, 96]
Generated Node #0,2,1: 83:[85, 96] Operation: 79+17=96
Exploring Operation: 85-17=68, Resulting Numbers: [79, 68]
Generated Node #0,2,2: 83:[79, 68] Operation: 85-17=68
Exploring Operation: 85+17=102, Resulting Numbers: [79, 102]
Generated Node #0,2,3: 83:[79, 102] Operation: 85+17=102
Exploring Operation: 79-17=62, Resulting Numbers: [85, 62]
Generated Node #0,2,4: 83:[85, 62] Operation: 79-17=62
Moving to Node #0,3
Current State: 83:[51, 85, 45], Operations: ['79-34=45']
Exploring Operation: 85-51=34, Resulting Numbers: [45, 34]
Generated Node #0,3,0: 83:[45, 34] Operation: 85-51=34
Exploring Operation: 51+45=96, Resulting Numbers: [85, 96]
Generated Node #0,3,1: 83:[85, 96] Operation: 51+45=96
Exploring Operation: 51-45=6, Resulting Numbers: [85, 6]
Generated Node #0,3,2: 83:[85, 6] Operation: 51-45=6
Exploring Operation: 85-45=40, Resulting Numbers: [51, 40]
Generated Node #0,3,3: 83:[51, 40] Operation: 85-45=40
Exploring Operation: 85+45=130, Resulting Numbers: [51, 130]
Generated Node #0,3,4: 83:[51, 130] Operation: 85+45=130
Moving to Node #0,2,1
Current State: 83:[85, 96], Operations: ['51-34=17', '79+17=96']
Exploring Operation: 85*96=8160, Resulting Numbers: [8160]
8160,83 unequal: No Solution
Exploring Operation: 96-85=11, Resulting Numbers: [11]
11,83 unequal: No Solution
Exploring Operation: 85+96=181, Resulting Numbers: [181]
181,83 unequal: No Solution
Moving to Node #0,3,1
Current State: 83:[85, 96], Operations: ['79-34=45', '51+45=96']
Exploring Operation: 96-85=11, Resulting Numbers: [11]
11,83 unequal: No Solution
Exploring Operation: 85*96=8160, Resulting Numbers: [8160]
8160,83 unequal: No Solution
Exploring Operation: 85+96=181, Resulting Numbers: [181]
181,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[79, 68], Operations: ['51-34=17', '85-17=68']
Exploring Operation: 79+68=147, Resulting Numbers: [147]
147,83 unequal: No Solution
Exploring Operation: 79*68=5372, Resulting Numbers: [5372]
5372,83 unequal: No Solution
Exploring Operation: 79-68=11, Resulting Numbers: [11]
11,83 unequal: No Solution
Moving to Node #0,4,4
Current State: 83:[85, 62], Operations: ['79+34=113', '113-51=62']
Exploring Operation: 85*62=5270, Resulting Numbers: [5270]
5270,83 unequal: No Solution
Exploring Operation: 85+62=147, Resulting Numbers: [147]
147,83 unequal: No Solution
Exploring Operation: 85-62=23, Resulting Numbers: [23]
23,83 unequal: No Solution
Moving to Node #0,2,3
Current State: 83:[79, 102], Operations: ['51-34=17', '85+17=102']
Exploring Operation: 79+102=181, Resulting Numbers: [181]
181,83 unequal: No Solution
Exploring Operation: 79*102=8058, Resulting Numbers: [8058]
8058,83 unequal: No Solution
Exploring Operation: 102-79=23, Resulting Numbers: [23]
23,83 unequal: No Solution
Moving to Node #0,2,4
Current State: 83:[85, 62], Operations: ['51-34=17', '79-17=62']
Exploring Operation: 85+62=147, Resulting Numbers: [147]
147,83 unequal: No Solution
Exploring Operation: 85*62=5270, Resulting Numbers: [5270]
5270,83 unequal: No Solution
Exploring Operation: 85-62=23, Resulting Numbers: [23]
23,83 unequal: No Solution
Moving to Node #0,0,2
Current State: 83:[79, 102], Operations: ['85-34=51', '51+51=102']
Exploring Operation: 79*102=8058, Resulting Numbers: [8058]
8058,83 unequal: No Solution
Exploring Operation: 102-79=23, Resulting Numbers: [23]
23,83 unequal: No Solution
Exploring Operation: 79+102=181, Resulting Numbers: [181]
181,83 unequal: No Solution
Moving to Node #0,3,3
Current State: 83:[51, 40], Operations: ['79-34=45', '85-45=40']
Exploring Operation: 51*40=2040, Resulting Numbers: [2040]
2040,83 unequal: No Solution
Exploring Operation: 51+40=91, Resulting Numbers: [91]
91,83 unequal: No Solution
Exploring Operation: 51-40=11, Resulting Numbers: [11]
11,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[85, 6], Operations: ['34+51=85', '85-79=6']
Exploring Operation: 85*6=510, Resulting Numbers: [510]
510,83 unequal: No Solution
Exploring Operation: 85-6=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Exploring Operation: 85+6=91, Resulting Numbers: [91]
91,83 unequal: No Solution
Moving to Node #0,4,3
Current State: 83:[113, 34], Operations: ['79+34=113', '85-51=34']
Exploring Operation: 113-34=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Exploring Operation: 113*34=3842, Resulting Numbers: [3842]
3842,83 unequal: No Solution
Exploring Operation: 113+34=147, Resulting Numbers: [147]
147,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[51, 130], Operations: ['85-34=51', '79+51=130']
Exploring Operation: 51+130=181, Resulting Numbers: [181]
181,83 unequal: No Solution
Exploring Operation: 130-51=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Exploring Operation: 51*130=6630, Resulting Numbers: [6630]
6630,83 unequal: No Solution
Moving to Node #0,0,3
Current State: 83:[51, 130], Operations: ['85-34=51', '79+51=130']
Exploring Operation: 130-51=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Exploring Operation: 51*130=6630, Resulting Numbers: [6630]
6630,83 unequal: No Solution
Exploring Operation: 51+130=181, Resulting Numbers: [181]
181,83 unequal: No Solution
Moving to Node #0,3,4
Current State: 83:[51, 130], Operations: ['79-34=45', '85+45=130']
Exploring Operation: 51+130=181, Resulting Numbers: [181]
181,83 unequal: No Solution
Exploring Operation: 130-51=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Exploring Operation: 51*130=6630, Resulting Numbers: [6630]
6630,83 unequal: No Solution
Moving to Node #0,3,2
Current State: 83:[85, 6], Operations: ['79-34=45', '51-45=6']
Exploring Operation: 85+6=91, Resulting Numbers: [91]
91,83 unequal: No Solution
Exploring Operation: 85-6=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Exploring Operation: 85*6=510, Resulting Numbers: [510]
510,83 unequal: No Solution
Moving to Node #0,1,3
Current State: 83:[85, 6], Operations: ['34+51=85', '85-79=6']
Exploring Operation: 85*6=510, Resulting Numbers: [510]
510,83 unequal: No Solution
Exploring Operation: 85-6=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Exploring Operation: 85+6=91, Resulting Numbers: [91]
91,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[79, 5], Operations: ['51-34=17', '85/17=5']
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,83 unequal: No Solution
Exploring Operation: 79+5=84, Resulting Numbers: [84]
84,83 unequal: No Solution
Exploring Operation: 79*5=395, Resulting Numbers: [395]
395,83 unequal: No Solution
Moving to Node #0,4,2
Current State: 83:[85, 164], Operations: ['79+34=113', '51+113=164']
Exploring Operation: 85*164=13940, Resulting Numbers: [13940]
13940,83 unequal: No Solution
Exploring Operation: 85+164=249, Resulting Numbers: [249]
249,83 unequal: No Solution
Exploring Operation: 164-85=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Moving to Node #0,4,0
Current State: 83:[113, 136], Operations: ['79+34=113', '51+85=136']
Exploring Operation: 136-113=23, Resulting Numbers: [23]
23,83 unequal: No Solution
Exploring Operation: 113+136=249, Resulting Numbers: [249]
249,83 unequal: No Solution
Exploring Operation: 113*136=15368, Resulting Numbers: [15368]
15368,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[85, 164], Operations: ['34+51=85', '79+85=164']
Exploring Operation: 85+164=249, Resulting Numbers: [249]
249,83 unequal: No Solution
Exploring Operation: 85*164=13940, Resulting Numbers: [13940]
13940,83 unequal: No Solution
Exploring Operation: 164-85=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Moving to Node #0,1,4
Current State: 83:[85, 164], Operations: ['34+51=85', '79+85=164']
Exploring Operation: 85+164=249, Resulting Numbers: [249]
249,83 unequal: No Solution
Exploring Operation: 85*164=13940, Resulting Numbers: [13940]
13940,83 unequal: No Solution
Exploring Operation: 164-85=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[79, 1], Operations: ['85-34=51', '51/51=1']
Exploring Operation: 79+1=80, Resulting Numbers: [80]
80,83 unequal: No Solution
Exploring Operation: 79/1=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,83 unequal: No Solution
Exploring Operation: 79*1=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[79, 1], Operations: ['34+51=85', '85/85=1']
Exploring Operation: 79/1=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Exploring Operation: 79*1=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,83 unequal: No Solution
Exploring Operation: 79+1=80, Resulting Numbers: [80]
80,83 unequal: No Solution
Moving to Node #0,3,0
Current State: 83:[45, 34], Operations: ['79-34=45', '85-51=34']
Exploring Operation: 45*34=1530, Resulting Numbers: [1530]
1530,83 unequal: No Solution
Exploring Operation: 45-34=11, Resulting Numbers: [11]
11,83 unequal: No Solution
Exploring Operation: 45+34=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Moving to Node #0,4,1
Current State: 83:[51, 28], Operations: ['79+34=113', '113-85=28']
Exploring Operation: 51+28=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Exploring Operation: 51*28=1428, Resulting Numbers: [1428]
1428,83 unequal: No Solution
Exploring Operation: 51-28=23, Resulting Numbers: [23]
23,83 unequal: No Solution
Moving to Node #0,0,4
Current State: 83:[51, 28], Operations: ['85-34=51', '79-51=28']
Exploring Operation: 51+28=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Exploring Operation: 51-28=23, Resulting Numbers: [23]
23,83 unequal: No Solution
Exploring Operation: 51*28=1428, Resulting Numbers: [1428]
1428,83 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
41,
73,
19,
59
] | 73 | [
"41+19=60",
"60-59=1",
"73*1=73"
] | Current State: 73:[41, 73, 19, 59], Operations: []
Exploring Operation: 41+19=60, Resulting Numbers: [73, 59, 60]
Generated Node #2: [73, 59, 60] from Operation: 41+19=60
Current State: 73:[73, 59, 60], Operations: ['41+19=60']
Exploring Operation: 60-59=1, Resulting Numbers: [73, 1]
Generated Node #3: [73, 1] from Operation: 60-59=1
Current State: 73:[73, 1], Operations: ['41+19=60', '60-59=1']
Exploring Operation: 73*1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[41, 73, 19, 59], Operations: []
Exploring Operation: 19+59=78, Resulting Numbers: [41, 73, 78]
Generated Node #0,0: 73:[41, 73, 78] Operation: 19+59=78
Exploring Operation: 41+19=60, Resulting Numbers: [73, 59, 60]
Generated Node #0,1: 73:[73, 59, 60] Operation: 41+19=60
Moving to Node #0,1
Current State: 73:[73, 59, 60], Operations: ['41+19=60']
Exploring Operation: 73+59=132, Resulting Numbers: [60, 132]
Generated Node #0,1,0: 73:[60, 132] Operation: 73+59=132
Exploring Operation: 59+60=119, Resulting Numbers: [73, 119]
Generated Node #0,1,1: 73:[73, 119] Operation: 59+60=119
Moving to Node #0,0
Current State: 73:[41, 73, 78], Operations: ['19+59=78']
Exploring Operation: 41+73=114, Resulting Numbers: [78, 114]
Generated Node #0,0,0: 73:[78, 114] Operation: 41+73=114
Exploring Operation: 78-41=37, Resulting Numbers: [73, 37]
Generated Node #0,0,1: 73:[73, 37] Operation: 78-41=37
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 73:[73, 37], Operations: ['19+59=78', '78-41=37']
Exploring Operation: 73+37=110, Resulting Numbers: [110]
110,73 unequal: No Solution
Exploring Operation: 73-37=36, Resulting Numbers: [36]
36,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 73:[78, 114], Operations: ['19+59=78', '41+73=114']
Exploring Operation: 114-78=36, Resulting Numbers: [36]
36,73 unequal: No Solution
Exploring Operation: 78+114=192, Resulting Numbers: [192]
192,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 73:[73, 119], Operations: ['41+19=60', '59+60=119']
Exploring Operation: 73+119=192, Resulting Numbers: [192]
192,73 unequal: No Solution
Exploring Operation: 119-73=46, Resulting Numbers: [46]
46,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[60, 132], Operations: ['41+19=60', '73+59=132']
Exploring Operation: 60+132=192, Resulting Numbers: [192]
192,73 unequal: No Solution
Exploring Operation: 132-60=72, Resulting Numbers: [72]
72,73 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
38,
5,
82,
37
] | 78 | [
"38-5=33",
"82-37=45",
"33+45=78"
] | Current State: 78:[38, 5, 82, 37], Operations: []
Exploring Operation: 38-5=33, Resulting Numbers: [82, 37, 33]
Generated Node #2: [82, 37, 33] from Operation: 38-5=33
Current State: 78:[82, 37, 33], Operations: ['38-5=33']
Exploring Operation: 82-37=45, Resulting Numbers: [33, 45]
Generated Node #3: [33, 45] from Operation: 82-37=45
Current State: 78:[33, 45], Operations: ['38-5=33', '82-37=45']
Exploring Operation: 33+45=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[38, 5, 82, 37], Operations: []
Exploring Operation: 82-38=44, Resulting Numbers: [5, 37, 44]
Generated Node #0,0: 78:[5, 37, 44] Operation: 82-38=44
Exploring Operation: 82-5=77, Resulting Numbers: [38, 37, 77]
Generated Node #0,1: 78:[38, 37, 77] Operation: 82-5=77
Exploring Operation: 38+37=75, Resulting Numbers: [5, 82, 75]
Generated Node #0,2: 78:[5, 82, 75] Operation: 38+37=75
Exploring Operation: 38-37=1, Resulting Numbers: [5, 82, 1]
Generated Node #0,3: 78:[5, 82, 1] Operation: 38-37=1
Moving to Node #0,1
Current State: 78:[38, 37, 77], Operations: ['82-5=77']
Exploring Operation: 77-37=40, Resulting Numbers: [38, 40]
Generated Node #0,1,0: 78:[38, 40] Operation: 77-37=40
Exploring Operation: 77-38=39, Resulting Numbers: [37, 39]
Generated Node #0,1,1: 78:[37, 39] Operation: 77-38=39
Exploring Operation: 38+37=75, Resulting Numbers: [77, 75]
Generated Node #0,1,2: 78:[77, 75] Operation: 38+37=75
Exploring Operation: 38-37=1, Resulting Numbers: [77, 1]
Generated Node #0,1,3: 78:[77, 1] Operation: 38-37=1
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 78:[38, 40], Operations: ['82-5=77', '77-37=40']
Exploring Operation: 38*40=1520, Resulting Numbers: [1520]
1520,78 unequal: No Solution
Exploring Operation: 40-38=2, Resulting Numbers: [2]
2,78 unequal: No Solution
Exploring Operation: 38+40=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[38, 5, 82, 37], Operations: []
Exploring Operation: 82-5=77, Resulting Numbers: [38, 37, 77]
Generated Node #0,1: 78:[38, 37, 77] Operation: 82-5=77
Moving to Node #0,1
Current State: 78:[38, 37, 77], Operations: ['82-5=77']
Exploring Operation: 77-37=40, Resulting Numbers: [38, 40]
Generated Node #0,1,0: 78:[38, 40] Operation: 77-37=40
Moving to Node #0,1,0
Current State: 78:[38, 40], Operations: ['82-5=77', '77-37=40']
Exploring Operation: 38+40=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
21,
2,
87,
71
] | 34 | [
"21+87=108",
"2*71=142",
"142-108=34"
] | Current State: 34:[21, 2, 87, 71], Operations: []
Exploring Operation: 21+87=108, Resulting Numbers: [2, 71, 108]
Generated Node #2: [2, 71, 108] from Operation: 21+87=108
Current State: 34:[2, 71, 108], Operations: ['21+87=108']
Exploring Operation: 2*71=142, Resulting Numbers: [108, 142]
Generated Node #3: [108, 142] from Operation: 2*71=142
Current State: 34:[108, 142], Operations: ['21+87=108', '2*71=142']
Exploring Operation: 142-108=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[21, 2, 87, 71], Operations: []
Exploring Operation: 21-2=19, Resulting Numbers: [87, 71, 19]
Generated Node #0,0: 34:[87, 71, 19] Operation: 21-2=19
Exploring Operation: 87-21=66, Resulting Numbers: [2, 71, 66]
Generated Node #0,1: 34:[2, 71, 66] Operation: 87-21=66
Exploring Operation: 87-71=16, Resulting Numbers: [21, 2, 16]
Generated Node #0,2: 34:[21, 2, 16] Operation: 87-71=16
Exploring Operation: 87-2=85, Resulting Numbers: [21, 71, 85]
Generated Node #0,3: 34:[21, 71, 85] Operation: 87-2=85
Exploring Operation: 71-21=50, Resulting Numbers: [2, 87, 50]
Generated Node #0,4: 34:[2, 87, 50] Operation: 71-21=50
Start Sub Search at level 1: Moving to Node #0,2
Current State: 34:[21, 2, 16], Operations: ['87-71=16']
Exploring Operation: 21+16=37, Resulting Numbers: [2, 37]
Generated Node #0,2,0: 34:[2, 37] Operation: 21+16=37
Exploring Operation: 2+16=18, Resulting Numbers: [21, 18]
Generated Node #0,2,1: 34:[21, 18] Operation: 2+16=18
Exploring Operation: 21-16=5, Resulting Numbers: [2, 5]
Generated Node #0,2,2: 34:[2, 5] Operation: 21-16=5
Exploring Operation: 21-2=19, Resulting Numbers: [16, 19]
Generated Node #0,2,3: 34:[16, 19] Operation: 21-2=19
Exploring Operation: 2*16=32, Resulting Numbers: [21, 32]
Generated Node #0,2,4: 34:[21, 32] Operation: 2*16=32
Moving to Node #0,2,0
Current State: 34:[2, 37], Operations: ['87-71=16', '21+16=37']
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,34 unequal: No Solution
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,34 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,34 unequal: No Solution
Moving to Node #0,2,3
Current State: 34:[16, 19], Operations: ['87-71=16', '21-2=19']
Exploring Operation: 16*19=304, Resulting Numbers: [304]
304,34 unequal: No Solution
Exploring Operation: 16+19=35, Resulting Numbers: [35]
35,34 unequal: No Solution
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,34 unequal: No Solution
Moving to Node #0,2,2
Current State: 34:[2, 5], Operations: ['87-71=16', '21-16=5']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,34 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,34 unequal: No Solution
Moving to Node #0,2,1
Current State: 34:[21, 18], Operations: ['87-71=16', '2+16=18']
Exploring Operation: 21*18=378, Resulting Numbers: [378]
378,34 unequal: No Solution
Exploring Operation: 21+18=39, Resulting Numbers: [39]
39,34 unequal: No Solution
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,34 unequal: No Solution
Moving to Node #0,2,4
Current State: 34:[21, 32], Operations: ['87-71=16', '2*16=32']
Exploring Operation: 32-21=11, Resulting Numbers: [11]
11,34 unequal: No Solution
Exploring Operation: 21*32=672, Resulting Numbers: [672]
672,34 unequal: No Solution
Exploring Operation: 21+32=53, Resulting Numbers: [53]
53,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 34:[2, 71, 66], Operations: ['87-21=66']
Exploring Operation: 71-2=69, Resulting Numbers: [66, 69]
Generated Node #0,1,0: 34:[66, 69] Operation: 71-2=69
Exploring Operation: 66-2=64, Resulting Numbers: [71, 64]
Generated Node #0,1,1: 34:[71, 64] Operation: 66-2=64
Exploring Operation: 2+71=73, Resulting Numbers: [66, 73]
Generated Node #0,1,2: 34:[66, 73] Operation: 2+71=73
Exploring Operation: 71-66=5, Resulting Numbers: [2, 5]
Generated Node #0,1,3: 34:[2, 5] Operation: 71-66=5
Exploring Operation: 66/2=33, Resulting Numbers: [71, 33]
Generated Node #0,1,4: 34:[71, 33] Operation: 66/2=33
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 34:[2, 5], Operations: ['87-21=66', '71-66=5']
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,34 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,34 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 34:[71, 33], Operations: ['87-21=66', '66/2=33']
Exploring Operation: 71*33=2343, Resulting Numbers: [2343]
2343,34 unequal: No Solution
Exploring Operation: 71-33=38, Resulting Numbers: [38]
38,34 unequal: No Solution
Exploring Operation: 71+33=104, Resulting Numbers: [104]
104,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 34:[66, 69], Operations: ['87-21=66', '71-2=69']
Exploring Operation: 66*69=4554, Resulting Numbers: [4554]
4554,34 unequal: No Solution
Exploring Operation: 66+69=135, Resulting Numbers: [135]
135,34 unequal: No Solution
Exploring Operation: 69-66=3, Resulting Numbers: [3]
3,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 34:[71, 64], Operations: ['87-21=66', '66-2=64']
Exploring Operation: 71*64=4544, Resulting Numbers: [4544]
4544,34 unequal: No Solution
Exploring Operation: 71+64=135, Resulting Numbers: [135]
135,34 unequal: No Solution
Exploring Operation: 71-64=7, Resulting Numbers: [7]
7,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 34:[66, 73], Operations: ['87-21=66', '2+71=73']
Exploring Operation: 66*73=4818, Resulting Numbers: [4818]
4818,34 unequal: No Solution
Exploring Operation: 66+73=139, Resulting Numbers: [139]
139,34 unequal: No Solution
Exploring Operation: 73-66=7, Resulting Numbers: [7]
7,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 34:[2, 87, 50], Operations: ['71-21=50']
Exploring Operation: 87-2=85, Resulting Numbers: [50, 85]
Generated Node #0,4,0: 34:[50, 85] Operation: 87-2=85
Exploring Operation: 50-2=48, Resulting Numbers: [87, 48]
Generated Node #0,4,1: 34:[87, 48] Operation: 50-2=48
Exploring Operation: 87-50=37, Resulting Numbers: [2, 37]
Generated Node #0,4,2: 34:[2, 37] Operation: 87-50=37
Exploring Operation: 50/2=25, Resulting Numbers: [87, 25]
Generated Node #0,4,3: 34:[87, 25] Operation: 50/2=25
Exploring Operation: 2+87=89, Resulting Numbers: [50, 89]
Generated Node #0,4,4: 34:[50, 89] Operation: 2+87=89
Moving to Node #0,4,2
Current State: 34:[2, 37], Operations: ['71-21=50', '87-50=37']
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,34 unequal: No Solution
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,34 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,34 unequal: No Solution
Moving to Node #0,4,3
Current State: 34:[87, 25], Operations: ['71-21=50', '50/2=25']
Exploring Operation: 87*25=2175, Resulting Numbers: [2175]
2175,34 unequal: No Solution
Exploring Operation: 87+25=112, Resulting Numbers: [112]
112,34 unequal: No Solution
Exploring Operation: 87-25=62, Resulting Numbers: [62]
62,34 unequal: No Solution
Moving to Node #0,4,0
Current State: 34:[50, 85], Operations: ['71-21=50', '87-2=85']
Exploring Operation: 50*85=4250, Resulting Numbers: [4250]
4250,34 unequal: No Solution
Exploring Operation: 85-50=35, Resulting Numbers: [35]
35,34 unequal: No Solution
Exploring Operation: 50+85=135, Resulting Numbers: [135]
135,34 unequal: No Solution
Moving to Node #0,4,1
Current State: 34:[87, 48], Operations: ['71-21=50', '50-2=48']
Exploring Operation: 87-48=39, Resulting Numbers: [39]
39,34 unequal: No Solution
Exploring Operation: 87+48=135, Resulting Numbers: [135]
135,34 unequal: No Solution
Exploring Operation: 87*48=4176, Resulting Numbers: [4176]
4176,34 unequal: No Solution
Moving to Node #0,4,4
Current State: 34:[50, 89], Operations: ['71-21=50', '2+87=89']
Exploring Operation: 89-50=39, Resulting Numbers: [39]
39,34 unequal: No Solution
Exploring Operation: 50+89=139, Resulting Numbers: [139]
139,34 unequal: No Solution
Exploring Operation: 50*89=4450, Resulting Numbers: [4450]
4450,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 34:[87, 71, 19], Operations: ['21-2=19']
Exploring Operation: 87-19=68, Resulting Numbers: [71, 68]
Generated Node #0,0,0: 34:[71, 68] Operation: 87-19=68
Exploring Operation: 87-71=16, Resulting Numbers: [19, 16]
Generated Node #0,0,1: 34:[19, 16] Operation: 87-71=16
Exploring Operation: 71+19=90, Resulting Numbers: [87, 90]
Generated Node #0,0,2: 34:[87, 90] Operation: 71+19=90
Exploring Operation: 87+19=106, Resulting Numbers: [71, 106]
Generated Node #0,0,3: 34:[71, 106] Operation: 87+19=106
Exploring Operation: 71-19=52, Resulting Numbers: [87, 52]
Generated Node #0,0,4: 34:[87, 52] Operation: 71-19=52
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 34:[19, 16], Operations: ['21-2=19', '87-71=16']
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,34 unequal: No Solution
Exploring Operation: 19*16=304, Resulting Numbers: [304]
304,34 unequal: No Solution
Exploring Operation: 19+16=35, Resulting Numbers: [35]
35,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 34:[71, 68], Operations: ['21-2=19', '87-19=68']
Exploring Operation: 71*68=4828, Resulting Numbers: [4828]
4828,34 unequal: No Solution
Exploring Operation: 71-68=3, Resulting Numbers: [3]
3,34 unequal: No Solution
Exploring Operation: 71+68=139, Resulting Numbers: [139]
139,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 34:[87, 52], Operations: ['21-2=19', '71-19=52']
Exploring Operation: 87-52=35, Resulting Numbers: [35]
35,34 unequal: No Solution
Exploring Operation: 87*52=4524, Resulting Numbers: [4524]
4524,34 unequal: No Solution
Exploring Operation: 87+52=139, Resulting Numbers: [139]
139,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 34:[87, 90], Operations: ['21-2=19', '71+19=90']
Exploring Operation: 87*90=7830, Resulting Numbers: [7830]
7830,34 unequal: No Solution
Exploring Operation: 90-87=3, Resulting Numbers: [3]
3,34 unequal: No Solution
Exploring Operation: 87+90=177, Resulting Numbers: [177]
177,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 34:[71, 106], Operations: ['21-2=19', '87+19=106']
Exploring Operation: 71*106=7526, Resulting Numbers: [7526]
7526,34 unequal: No Solution
Exploring Operation: 71+106=177, Resulting Numbers: [177]
177,34 unequal: No Solution
Exploring Operation: 106-71=35, Resulting Numbers: [35]
35,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 34:[21, 71, 85], Operations: ['87-2=85']
Exploring Operation: 21+71=92, Resulting Numbers: [85, 92]
Generated Node #0,3,0: 34:[85, 92] Operation: 21+71=92
Exploring Operation: 21+85=106, Resulting Numbers: [71, 106]
Generated Node #0,3,1: 34:[71, 106] Operation: 21+85=106
Exploring Operation: 71-21=50, Resulting Numbers: [85, 50]
Generated Node #0,3,2: 34:[85, 50] Operation: 71-21=50
Exploring Operation: 85-71=14, Resulting Numbers: [21, 14]
Generated Node #0,3,3: 34:[21, 14] Operation: 85-71=14
Exploring Operation: 85-21=64, Resulting Numbers: [71, 64]
Generated Node #0,3,4: 34:[71, 64] Operation: 85-21=64
Moving to Node #0,3,3
Current State: 34:[21, 14], Operations: ['87-2=85', '85-71=14']
Exploring Operation: 21-14=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 21*14=294, Resulting Numbers: [294]
294,34 unequal: No Solution
Exploring Operation: 21+14=35, Resulting Numbers: [35]
35,34 unequal: No Solution
Moving to Node #0,3,4
Current State: 34:[71, 64], Operations: ['87-2=85', '85-21=64']
Exploring Operation: 71*64=4544, Resulting Numbers: [4544]
4544,34 unequal: No Solution
Exploring Operation: 71-64=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 71+64=135, Resulting Numbers: [135]
135,34 unequal: No Solution
Moving to Node #0,3,2
Current State: 34:[85, 50], Operations: ['87-2=85', '71-21=50']
Exploring Operation: 85+50=135, Resulting Numbers: [135]
135,34 unequal: No Solution
Exploring Operation: 85-50=35, Resulting Numbers: [35]
35,34 unequal: No Solution
Exploring Operation: 85*50=4250, Resulting Numbers: [4250]
4250,34 unequal: No Solution
Moving to Node #0,3,0
Current State: 34:[85, 92], Operations: ['87-2=85', '21+71=92']
Exploring Operation: 85+92=177, Resulting Numbers: [177]
177,34 unequal: No Solution
Exploring Operation: 92-85=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 85*92=7820, Resulting Numbers: [7820]
7820,34 unequal: No Solution
Moving to Node #0,3,1
Current State: 34:[71, 106], Operations: ['87-2=85', '21+85=106']
Exploring Operation: 71*106=7526, Resulting Numbers: [7526]
7526,34 unequal: No Solution
Exploring Operation: 106-71=35, Resulting Numbers: [35]
35,34 unequal: No Solution
Exploring Operation: 71+106=177, Resulting Numbers: [177]
177,34 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 |
[
90,
57,
92,
60
] | 27 | [
"92-90=2",
"60/2=30",
"57-30=27"
] | Current State: 27:[90, 57, 92, 60], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [57, 60, 2]
Generated Node #2: [57, 60, 2] from Operation: 92-90=2
Current State: 27:[57, 60, 2], Operations: ['92-90=2']
Exploring Operation: 60/2=30, Resulting Numbers: [57, 30]
Generated Node #3: [57, 30] from Operation: 60/2=30
Current State: 27:[57, 30], Operations: ['92-90=2', '60/2=30']
Exploring Operation: 57-30=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[90, 57, 92, 60], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [57, 60, 2]
Generated Node #0,0: 27:[57, 60, 2] Operation: 92-90=2
Exploring Operation: 90-60=30, Resulting Numbers: [57, 92, 30]
Generated Node #0,1: 27:[57, 92, 30] Operation: 90-60=30
Exploring Operation: 92-60=32, Resulting Numbers: [90, 57, 32]
Generated Node #0,2: 27:[90, 57, 32] Operation: 92-60=32
Moving to Node #0,0
Current State: 27:[57, 60, 2], Operations: ['92-90=2']
Exploring Operation: 57-2=55, Resulting Numbers: [60, 55]
Generated Node #0,0,0: 27:[60, 55] Operation: 57-2=55
Exploring Operation: 60/2=30, Resulting Numbers: [57, 30]
Generated Node #0,0,1: 27:[57, 30] Operation: 60/2=30
Exploring Operation: 60-57=3, Resulting Numbers: [2, 3]
Generated Node #0,0,2: 27:[2, 3] Operation: 60-57=3
Moving to Node #0,1
Current State: 27:[57, 92, 30], Operations: ['90-60=30']
Exploring Operation: 92-30=62, Resulting Numbers: [57, 62]
Generated Node #0,1,0: 27:[57, 62] Operation: 92-30=62
Exploring Operation: 57-30=27, Resulting Numbers: [92, 27]
Generated Node #0,1,1: 27:[92, 27] Operation: 57-30=27
Exploring Operation: 92-57=35, Resulting Numbers: [30, 35]
Generated Node #0,1,2: 27:[30, 35] Operation: 92-57=35
Moving to Node #0,2
Current State: 27:[90, 57, 32], Operations: ['92-60=32']
Exploring Operation: 90-32=58, Resulting Numbers: [57, 58]
Generated Node #0,2,0: 27:[57, 58] Operation: 90-32=58
Exploring Operation: 90-57=33, Resulting Numbers: [32, 33]
Generated Node #0,2,1: 27:[32, 33] Operation: 90-57=33
Exploring Operation: 57-32=25, Resulting Numbers: [90, 25]
Generated Node #0,2,2: 27:[90, 25] Operation: 57-32=25
Moving to Node #0,0,2
Current State: 27:[2, 3], Operations: ['92-90=2', '60-57=3']
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,27 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,27 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,27 unequal: No Solution
Moving to Node #0,2,1
Current State: 27:[32, 33], Operations: ['92-60=32', '90-57=33']
Exploring Operation: 33-32=1, Resulting Numbers: [1]
1,27 unequal: No Solution
Exploring Operation: 32+33=65, Resulting Numbers: [65]
65,27 unequal: No Solution
Exploring Operation: 32*33=1056, Resulting Numbers: [1056]
1056,27 unequal: No Solution
Moving to Node #0,1,2
Current State: 27:[30, 35], Operations: ['90-60=30', '92-57=35']
Exploring Operation: 30+35=65, Resulting Numbers: [65]
65,27 unequal: No Solution
Exploring Operation: 35-30=5, Resulting Numbers: [5]
5,27 unequal: No Solution
Exploring Operation: 30*35=1050, Resulting Numbers: [1050]
1050,27 unequal: No Solution
Moving to Node #0,0,1
Current State: 27:[57, 30], Operations: ['92-90=2', '60/2=30']
Exploring Operation: 57*30=1710, Resulting Numbers: [1710]
1710,27 unequal: No Solution
Exploring Operation: 57+30=87, Resulting Numbers: [87]
87,27 unequal: No Solution
Exploring Operation: 57-30=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[90, 57, 92, 60], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [57, 60, 2]
Generated Node #0,0: 27:[57, 60, 2] Operation: 92-90=2
Moving to Node #0,0
Current State: 27:[57, 60, 2], Operations: ['92-90=2']
Exploring Operation: 60/2=30, Resulting Numbers: [57, 30]
Generated Node #0,0,1: 27:[57, 30] Operation: 60/2=30
Moving to Node #0,0,1
Current State: 27:[57, 30], Operations: ['92-90=2', '60/2=30']
Exploring Operation: 57-30=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 0.975694 | hs_3 | sum_heuristic |
[
70,
30,
66,
68
] | 42 | [
"70-30=40",
"68-66=2",
"40+2=42"
] | Current State: 42:[70, 30, 66, 68], Operations: []
Exploring Operation: 70-30=40, Resulting Numbers: [66, 68, 40]
Generated Node #2: [66, 68, 40] from Operation: 70-30=40
Current State: 42:[66, 68, 40], Operations: ['70-30=40']
Exploring Operation: 68-66=2, Resulting Numbers: [40, 2]
Generated Node #3: [40, 2] from Operation: 68-66=2
Current State: 42:[40, 2], Operations: ['70-30=40', '68-66=2']
Exploring Operation: 40+2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[70, 30, 66, 68], Operations: []
Exploring Operation: 70-30=40, Resulting Numbers: [66, 68, 40]
Generated Node #0,0: 42:[66, 68, 40] Operation: 70-30=40
Exploring Operation: 70-68=2, Resulting Numbers: [30, 66, 2]
Generated Node #0,1: 42:[30, 66, 2] Operation: 70-68=2
Exploring Operation: 70-66=4, Resulting Numbers: [30, 68, 4]
Generated Node #0,2: 42:[30, 68, 4] Operation: 70-66=4
Exploring Operation: 68-30=38, Resulting Numbers: [70, 66, 38]
Generated Node #0,3: 42:[70, 66, 38] Operation: 68-30=38
Exploring Operation: 68-66=2, Resulting Numbers: [70, 30, 2]
Generated Node #0,4: 42:[70, 30, 2] Operation: 68-66=2
Moving to Node #0,1
Current State: 42:[30, 66, 2], Operations: ['70-68=2']
Exploring Operation: 66-30=36, Resulting Numbers: [2, 36]
Generated Node #0,1,0: 42:[2, 36] Operation: 66-30=36
Exploring Operation: 66-2=64, Resulting Numbers: [30, 64]
Generated Node #0,1,1: 42:[30, 64] Operation: 66-2=64
Exploring Operation: 30-2=28, Resulting Numbers: [66, 28]
Generated Node #0,1,2: 42:[66, 28] Operation: 30-2=28
Exploring Operation: 66/2=33, Resulting Numbers: [30, 33]
Generated Node #0,1,3: 42:[30, 33] Operation: 66/2=33
Exploring Operation: 30/2=15, Resulting Numbers: [66, 15]
Generated Node #0,1,4: 42:[66, 15] Operation: 30/2=15
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 42:[2, 36], Operations: ['70-68=2', '66-30=36']
Exploring Operation: 2*36=72, Resulting Numbers: [72]
72,42 unequal: No Solution
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,42 unequal: No Solution
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,42 unequal: No Solution
Exploring Operation: 2+36=38, Resulting Numbers: [38]
38,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 42:[30, 33], Operations: ['70-68=2', '66/2=33']
Exploring Operation: 33-30=3, Resulting Numbers: [3]
3,42 unequal: No Solution
Exploring Operation: 30+33=63, Resulting Numbers: [63]
63,42 unequal: No Solution
Exploring Operation: 30*33=990, Resulting Numbers: [990]
990,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 42:[66, 15], Operations: ['70-68=2', '30/2=15']
Exploring Operation: 66*15=990, Resulting Numbers: [990]
990,42 unequal: No Solution
Exploring Operation: 66-15=51, Resulting Numbers: [51]
51,42 unequal: No Solution
Exploring Operation: 66+15=81, Resulting Numbers: [81]
81,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 42:[30, 64], Operations: ['70-68=2', '66-2=64']
Exploring Operation: 30*64=1920, Resulting Numbers: [1920]
1920,42 unequal: No Solution
Exploring Operation: 64-30=34, Resulting Numbers: [34]
34,42 unequal: No Solution
Exploring Operation: 30+64=94, Resulting Numbers: [94]
94,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 42:[66, 28], Operations: ['70-68=2', '30-2=28']
Exploring Operation: 66-28=38, Resulting Numbers: [38]
38,42 unequal: No Solution
Exploring Operation: 66*28=1848, Resulting Numbers: [1848]
1848,42 unequal: No Solution
Exploring Operation: 66+28=94, Resulting Numbers: [94]
94,42 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: 42:[30, 68, 4], Operations: ['70-66=4']
Exploring Operation: 68/4=17, Resulting Numbers: [30, 17]
Generated Node #0,2,0: 42:[30, 17] Operation: 68/4=17
Exploring Operation: 68-30=38, Resulting Numbers: [4, 38]
Generated Node #0,2,1: 42:[4, 38] Operation: 68-30=38
Exploring Operation: 30-4=26, Resulting Numbers: [68, 26]
Generated Node #0,2,2: 42:[68, 26] Operation: 30-4=26
Exploring Operation: 68-4=64, Resulting Numbers: [30, 64]
Generated Node #0,2,3: 42:[30, 64] Operation: 68-4=64
Exploring Operation: 30+4=34, Resulting Numbers: [68, 34]
Generated Node #0,2,4: 42:[68, 34] Operation: 30+4=34
Moving to Node #0,4
Current State: 42:[70, 30, 2], Operations: ['68-66=2']
Exploring Operation: 70-2=68, Resulting Numbers: [30, 68]
Generated Node #0,4,0: 42:[30, 68] Operation: 70-2=68
Exploring Operation: 30-2=28, Resulting Numbers: [70, 28]
Generated Node #0,4,1: 42:[70, 28] Operation: 30-2=28
Exploring Operation: 30/2=15, Resulting Numbers: [70, 15]
Generated Node #0,4,2: 42:[70, 15] Operation: 30/2=15
Exploring Operation: 70-30=40, Resulting Numbers: [2, 40]
Generated Node #0,4,3: 42:[2, 40] Operation: 70-30=40
Exploring Operation: 70/2=35, Resulting Numbers: [30, 35]
Generated Node #0,4,4: 42:[30, 35] Operation: 70/2=35
Moving to Node #0,0
Current State: 42:[66, 68, 40], Operations: ['70-30=40']
Exploring Operation: 66-40=26, Resulting Numbers: [68, 26]
Generated Node #0,0,0: 42:[68, 26] Operation: 66-40=26
Exploring Operation: 66+40=106, Resulting Numbers: [68, 106]
Generated Node #0,0,1: 42:[68, 106] Operation: 66+40=106
Exploring Operation: 68-66=2, Resulting Numbers: [40, 2]
Generated Node #0,0,2: 42:[40, 2] Operation: 68-66=2
Exploring Operation: 68+40=108, Resulting Numbers: [66, 108]
Generated Node #0,0,3: 42:[66, 108] Operation: 68+40=108
Exploring Operation: 68-40=28, Resulting Numbers: [66, 28]
Generated Node #0,0,4: 42:[66, 28] Operation: 68-40=28
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 42:[40, 2], Operations: ['70-30=40', '68-66=2']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,42 unequal: No Solution
Exploring Operation: 40*2=80, Resulting Numbers: [80]
80,42 unequal: No Solution
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,42 unequal: No Solution
Exploring Operation: 40+2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[70, 30, 66, 68], Operations: []
Exploring Operation: 70-30=40, Resulting Numbers: [66, 68, 40]
Generated Node #0,0: 42:[66, 68, 40] Operation: 70-30=40
Moving to Node #0,0
Current State: 42:[66, 68, 40], Operations: ['70-30=40']
Exploring Operation: 68-66=2, Resulting Numbers: [40, 2]
Generated Node #0,0,2: 42:[40, 2] Operation: 68-66=2
Moving to Node #0,0,2
Current State: 42:[40, 2], Operations: ['70-30=40', '68-66=2']
Exploring Operation: 40+2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.957465 | hs_5 | sum_heuristic |
[
93,
10,
18,
96
] | 81 | [
"18-10=8",
"96/8=12",
"93-12=81"
] | Current State: 81:[93, 10, 18, 96], Operations: []
Exploring Operation: 18-10=8, Resulting Numbers: [93, 96, 8]
Generated Node #2: [93, 96, 8] from Operation: 18-10=8
Current State: 81:[93, 96, 8], Operations: ['18-10=8']
Exploring Operation: 96/8=12, Resulting Numbers: [93, 12]
Generated Node #3: [93, 12] from Operation: 96/8=12
Current State: 81:[93, 12], Operations: ['18-10=8', '96/8=12']
Exploring Operation: 93-12=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[93, 10, 18, 96], Operations: []
Exploring Operation: 93-18=75, Resulting Numbers: [10, 96, 75]
Generated Node #0,0: 81:[10, 96, 75] Operation: 93-18=75
Exploring Operation: 96-18=78, Resulting Numbers: [93, 10, 78]
Generated Node #0,1: 81:[93, 10, 78] Operation: 96-18=78
Exploring Operation: 96-93=3, Resulting Numbers: [10, 18, 3]
Generated Node #0,2: 81:[10, 18, 3] Operation: 96-93=3
Start Sub Search at level 1: Moving to Node #0,2
Current State: 81:[10, 18, 3], Operations: ['96-93=3']
Exploring Operation: 18/3=6, Resulting Numbers: [10, 6]
Generated Node #0,2,0: 81:[10, 6] Operation: 18/3=6
Exploring Operation: 10+18=28, Resulting Numbers: [3, 28]
Generated Node #0,2,1: 81:[3, 28] Operation: 10+18=28
Exploring Operation: 18-10=8, Resulting Numbers: [3, 8]
Generated Node #0,2,2: 81:[3, 8] Operation: 18-10=8
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 81:[3, 28], Operations: ['96-93=3', '10+18=28']
Exploring Operation: 3+28=31, Resulting Numbers: [31]
31,81 unequal: No Solution
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,81 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,81 unequal: No Solution
No 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: 81:[3, 8], Operations: ['96-93=3', '18-10=8']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,81 unequal: No Solution
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,81 unequal: No Solution
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,81 unequal: No Solution
No 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: 81:[10, 6], Operations: ['96-93=3', '18/3=6']
Exploring Operation: 10+6=16, Resulting Numbers: [16]
16,81 unequal: No Solution
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,81 unequal: No Solution
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,81 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: 81:[93, 10, 78], Operations: ['96-18=78']
Exploring Operation: 10+78=88, Resulting Numbers: [93, 88]
Generated Node #0,1,0: 81:[93, 88] Operation: 10+78=88
Exploring Operation: 93-78=15, Resulting Numbers: [10, 15]
Generated Node #0,1,1: 81:[10, 15] Operation: 93-78=15
Exploring Operation: 93-10=83, Resulting Numbers: [78, 83]
Generated Node #0,1,2: 81:[78, 83] Operation: 93-10=83
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 81:[78, 83], Operations: ['96-18=78', '93-10=83']
Exploring Operation: 78*83=6474, Resulting Numbers: [6474]
6474,81 unequal: No Solution
Exploring Operation: 83-78=5, Resulting Numbers: [5]
5,81 unequal: No Solution
Exploring Operation: 78+83=161, Resulting Numbers: [161]
161,81 unequal: No Solution
No 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: 81:[10, 15], Operations: ['96-18=78', '93-78=15']
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,81 unequal: No Solution
Exploring Operation: 10+15=25, Resulting Numbers: [25]
25,81 unequal: No Solution
Exploring Operation: 10*15=150, Resulting Numbers: [150]
150,81 unequal: No Solution
No 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: 81:[93, 88], Operations: ['96-18=78', '10+78=88']
Exploring Operation: 93-88=5, Resulting Numbers: [5]
5,81 unequal: No Solution
Exploring Operation: 93*88=8184, Resulting Numbers: [8184]
8184,81 unequal: No Solution
Exploring Operation: 93+88=181, Resulting Numbers: [181]
181,81 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: 81:[10, 96, 75], Operations: ['93-18=75']
Exploring Operation: 96-75=21, Resulting Numbers: [10, 21]
Generated Node #0,0,0: 81:[10, 21] Operation: 96-75=21
Exploring Operation: 96-10=86, Resulting Numbers: [75, 86]
Generated Node #0,0,1: 81:[75, 86] Operation: 96-10=86
Exploring Operation: 10+75=85, Resulting Numbers: [96, 85]
Generated Node #0,0,2: 81:[96, 85] Operation: 10+75=85
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 81:[10, 21], Operations: ['93-18=75', '96-75=21']
Exploring Operation: 10+21=31, Resulting Numbers: [31]
31,81 unequal: No Solution
Exploring Operation: 10*21=210, Resulting Numbers: [210]
210,81 unequal: No Solution
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,81 unequal: No Solution
No 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: 81:[75, 86], Operations: ['93-18=75', '96-10=86']
Exploring Operation: 75+86=161, Resulting Numbers: [161]
161,81 unequal: No Solution
Exploring Operation: 75*86=6450, Resulting Numbers: [6450]
6450,81 unequal: No Solution
Exploring Operation: 86-75=11, Resulting Numbers: [11]
11,81 unequal: No Solution
No 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: 81:[96, 85], Operations: ['93-18=75', '10+75=85']
Exploring Operation: 96+85=181, Resulting Numbers: [181]
181,81 unequal: No Solution
Exploring Operation: 96*85=8160, Resulting Numbers: [8160]
8160,81 unequal: No Solution
Exploring Operation: 96-85=11, Resulting Numbers: [11]
11,81 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 |
[
23,
1,
37,
11
] | 70 | [
"23-1=22",
"37+11=48",
"22+48=70"
] | Current State: 70:[23, 1, 37, 11], Operations: []
Exploring Operation: 23-1=22, Resulting Numbers: [37, 11, 22]
Generated Node #2: [37, 11, 22] from Operation: 23-1=22
Current State: 70:[37, 11, 22], Operations: ['23-1=22']
Exploring Operation: 37+11=48, Resulting Numbers: [22, 48]
Generated Node #3: [22, 48] from Operation: 37+11=48
Current State: 70:[22, 48], Operations: ['23-1=22', '37+11=48']
Exploring Operation: 22+48=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[23, 1, 37, 11], Operations: []
Exploring Operation: 37-23=14, Resulting Numbers: [1, 11, 14]
Generated Node #0,0: 70:[1, 11, 14] Operation: 37-23=14
Exploring Operation: 23+11=34, Resulting Numbers: [1, 37, 34]
Generated Node #0,1: 70:[1, 37, 34] Operation: 23+11=34
Exploring Operation: 23-11=12, Resulting Numbers: [1, 37, 12]
Generated Node #0,2: 70:[1, 37, 12] Operation: 23-11=12
Exploring Operation: 23-1=22, Resulting Numbers: [37, 11, 22]
Generated Node #0,3: 70:[37, 11, 22] Operation: 23-1=22
Moving to Node #0,0
Current State: 70:[1, 11, 14], Operations: ['37-23=14']
Exploring Operation: 1*14=14, Resulting Numbers: [11, 14]
Generated Node #0,0,0: 70:[11, 14] Operation: 1*14=14
Exploring Operation: 1*11=11, Resulting Numbers: [14, 11]
Generated Node #0,0,1: 70:[14, 11] Operation: 1*11=11
Exploring Operation: 11-1=10, Resulting Numbers: [14, 10]
Generated Node #0,0,2: 70:[14, 10] Operation: 11-1=10
Exploring Operation: 11/1=11, Resulting Numbers: [14, 11]
Generated Node #0,0,3: 70:[14, 11] Operation: 11/1=11
Moving to Node #0,1
Current State: 70:[1, 37, 34], Operations: ['23+11=34']
Exploring Operation: 37-1=36, Resulting Numbers: [34, 36]
Generated Node #0,1,0: 70:[34, 36] Operation: 37-1=36
Exploring Operation: 37-34=3, Resulting Numbers: [1, 3]
Generated Node #0,1,1: 70:[1, 3] Operation: 37-34=3
Exploring Operation: 1+34=35, Resulting Numbers: [37, 35]
Generated Node #0,1,2: 70:[37, 35] Operation: 1+34=35
Exploring Operation: 37+34=71, Resulting Numbers: [1, 71]
Generated Node #0,1,3: 70:[1, 71] Operation: 37+34=71
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 70:[34, 36], Operations: ['23+11=34', '37-1=36']
Exploring Operation: 36-34=2, Resulting Numbers: [2]
2,70 unequal: No Solution
Exploring Operation: 34*36=1224, Resulting Numbers: [1224]
1224,70 unequal: No Solution
Exploring Operation: 34+36=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[23, 1, 37, 11], Operations: []
Exploring Operation: 23+11=34, Resulting Numbers: [1, 37, 34]
Generated Node #0,1: 70:[1, 37, 34] Operation: 23+11=34
Moving to Node #0,1
Current State: 70:[1, 37, 34], Operations: ['23+11=34']
Exploring Operation: 37-1=36, Resulting Numbers: [34, 36]
Generated Node #0,1,0: 70:[34, 36] Operation: 37-1=36
Moving to Node #0,1,0
Current State: 70:[34, 36], Operations: ['23+11=34', '37-1=36']
Exploring Operation: 34+36=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | mult_heuristic |
[
29,
71,
2,
28
] | 44 | [
"29+71=100",
"2*28=56",
"100-56=44"
] | Current State: 44:[29, 71, 2, 28], Operations: []
Exploring Operation: 29+71=100, Resulting Numbers: [2, 28, 100]
Generated Node #2: [2, 28, 100] from Operation: 29+71=100
Current State: 44:[2, 28, 100], Operations: ['29+71=100']
Exploring Operation: 2*28=56, Resulting Numbers: [100, 56]
Generated Node #3: [100, 56] from Operation: 2*28=56
Current State: 44:[100, 56], Operations: ['29+71=100', '2*28=56']
Exploring Operation: 100-56=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[29, 71, 2, 28], Operations: []
Exploring Operation: 71-28=43, Resulting Numbers: [29, 2, 43]
Generated Node #0,0: 44:[29, 2, 43] Operation: 71-28=43
Exploring Operation: 71-29=42, Resulting Numbers: [2, 28, 42]
Generated Node #0,1: 44:[2, 28, 42] Operation: 71-29=42
Moving to Node #0,0
Current State: 44:[29, 2, 43], Operations: ['71-28=43']
Exploring Operation: 43-29=14, Resulting Numbers: [2, 14]
Generated Node #0,0,0: 44:[2, 14] Operation: 43-29=14
Exploring Operation: 29-2=27, Resulting Numbers: [43, 27]
Generated Node #0,0,1: 44:[43, 27] Operation: 29-2=27
Moving to Node #0,1
Current State: 44:[2, 28, 42], Operations: ['71-29=42']
Exploring Operation: 42-28=14, Resulting Numbers: [2, 14]
Generated Node #0,1,0: 44:[2, 14] Operation: 42-28=14
Exploring Operation: 28/2=14, Resulting Numbers: [42, 14]
Generated Node #0,1,1: 44:[42, 14] Operation: 28/2=14
Moving to Node #0,0,0
Current State: 44:[2, 14], Operations: ['71-28=43', '43-29=14']
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,44 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,44 unequal: No Solution
Moving to Node #0,1,0
Current State: 44:[2, 14], Operations: ['71-29=42', '42-28=14']
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,44 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,44 unequal: No Solution
Moving to Node #0,1,1
Current State: 44:[42, 14], Operations: ['71-29=42', '28/2=14']
Exploring Operation: 42/14=3, Resulting Numbers: [3]
3,44 unequal: No Solution
Exploring Operation: 42-14=28, Resulting Numbers: [28]
28,44 unequal: No Solution
Moving to Node #0,0,1
Current State: 44:[43, 27], Operations: ['71-28=43', '29-2=27']
Exploring Operation: 43-27=16, Resulting Numbers: [16]
16,44 unequal: No Solution
Exploring Operation: 43+27=70, Resulting Numbers: [70]
70,44 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
87,
69,
3,
81
] | 87 | [
"87+69=156",
"3*81=243",
"243-156=87"
] | Current State: 87:[87, 69, 3, 81], Operations: []
Exploring Operation: 87+69=156, Resulting Numbers: [3, 81, 156]
Generated Node #2: [3, 81, 156] from Operation: 87+69=156
Current State: 87:[3, 81, 156], Operations: ['87+69=156']
Exploring Operation: 3*81=243, Resulting Numbers: [156, 243]
Generated Node #3: [156, 243] from Operation: 3*81=243
Current State: 87:[156, 243], Operations: ['87+69=156', '3*81=243']
Exploring Operation: 243-156=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[87, 69, 3, 81], Operations: []
Exploring Operation: 69/3=23, Resulting Numbers: [87, 81, 23]
Generated Node #0,0: 87:[87, 81, 23] Operation: 69/3=23
Exploring Operation: 81-69=12, Resulting Numbers: [87, 3, 12]
Generated Node #0,1: 87:[87, 3, 12] Operation: 81-69=12
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[87, 3, 12], Operations: ['81-69=12']
Exploring Operation: 12-3=9, Resulting Numbers: [87, 9]
Generated Node #0,1,0: 87:[87, 9] Operation: 12-3=9
Exploring Operation: 12/3=4, Resulting Numbers: [87, 4]
Generated Node #0,1,1: 87:[87, 4] Operation: 12/3=4
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 87:[87, 4], Operations: ['81-69=12', '12/3=4']
Exploring Operation: 87-4=83, Resulting Numbers: [83]
83,87 unequal: No Solution
Exploring Operation: 87+4=91, Resulting Numbers: [91]
91,87 unequal: No Solution
No 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: 87:[87, 9], Operations: ['81-69=12', '12-3=9']
Exploring Operation: 87+9=96, Resulting Numbers: [96]
96,87 unequal: No Solution
Exploring Operation: 87-9=78, Resulting Numbers: [78]
78,87 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: 87:[87, 81, 23], Operations: ['69/3=23']
Exploring Operation: 87-81=6, Resulting Numbers: [23, 6]
Generated Node #0,0,0: 87:[23, 6] Operation: 87-81=6
Exploring Operation: 81+23=104, Resulting Numbers: [87, 104]
Generated Node #0,0,1: 87:[87, 104] Operation: 81+23=104
Moving to Node #0,0,0
Current State: 87:[23, 6], Operations: ['69/3=23', '87-81=6']
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,87 unequal: No Solution
Exploring Operation: 23+6=29, Resulting Numbers: [29]
29,87 unequal: No Solution
Moving to Node #0,0,1
Current State: 87:[87, 104], Operations: ['69/3=23', '81+23=104']
Exploring Operation: 104-87=17, Resulting Numbers: [17]
17,87 unequal: No Solution
Exploring Operation: 87+104=191, Resulting Numbers: [191]
191,87 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 |
[
34,
79,
77,
82
] | 91 | [
"82-77=5",
"34*5=170",
"170-79=91"
] | Current State: 91:[34, 79, 77, 82], Operations: []
Exploring Operation: 82-77=5, Resulting Numbers: [34, 79, 5]
Generated Node #2: [34, 79, 5] from Operation: 82-77=5
Current State: 91:[34, 79, 5], Operations: ['82-77=5']
Exploring Operation: 34*5=170, Resulting Numbers: [79, 170]
Generated Node #3: [79, 170] from Operation: 34*5=170
Current State: 91:[79, 170], Operations: ['82-77=5', '34*5=170']
Exploring Operation: 170-79=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[34, 79, 77, 82], Operations: []
Exploring Operation: 79-77=2, Resulting Numbers: [34, 82, 2]
Generated Node #0,0: 91:[34, 82, 2] Operation: 79-77=2
Exploring Operation: 82-77=5, Resulting Numbers: [34, 79, 5]
Generated Node #0,1: 91:[34, 79, 5] Operation: 82-77=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[34, 82, 2], Operations: ['79-77=2']
Exploring Operation: 34/2=17, Resulting Numbers: [82, 17]
Generated Node #0,0,0: 91:[82, 17] Operation: 34/2=17
Exploring Operation: 34-2=32, Resulting Numbers: [82, 32]
Generated Node #0,0,1: 91:[82, 32] Operation: 34-2=32
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 91:[82, 17], Operations: ['79-77=2', '34/2=17']
Exploring Operation: 82+17=99, Resulting Numbers: [99]
99,91 unequal: No Solution
Exploring Operation: 82-17=65, Resulting Numbers: [65]
65,91 unequal: No Solution
No 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: 91:[82, 32], Operations: ['79-77=2', '34-2=32']
Exploring Operation: 82-32=50, Resulting Numbers: [50]
50,91 unequal: No Solution
Exploring Operation: 82+32=114, Resulting Numbers: [114]
114,91 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: 91:[34, 79, 5], Operations: ['82-77=5']
Exploring Operation: 34+79=113, Resulting Numbers: [5, 113]
Generated Node #0,1,0: 91:[5, 113] Operation: 34+79=113
Exploring Operation: 34-5=29, Resulting Numbers: [79, 29]
Generated Node #0,1,1: 91:[79, 29] Operation: 34-5=29
Moving to Node #0,1,0
Current State: 91:[5, 113], Operations: ['82-77=5', '34+79=113']
Exploring Operation: 5+113=118, Resulting Numbers: [118]
118,91 unequal: No Solution
Exploring Operation: 113-5=108, Resulting Numbers: [108]
108,91 unequal: No Solution
Moving to Node #0,1,1
Current State: 91:[79, 29], Operations: ['82-77=5', '34-5=29']
Exploring Operation: 79+29=108, Resulting Numbers: [108]
108,91 unequal: No Solution
Exploring Operation: 79-29=50, Resulting Numbers: [50]
50,91 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 |
[
84,
8,
93,
4
] | 41 | [
"93-84=9",
"8*4=32",
"9+32=41"
] | Current State: 41:[84, 8, 93, 4], Operations: []
Exploring Operation: 93-84=9, Resulting Numbers: [8, 4, 9]
Generated Node #2: [8, 4, 9] from Operation: 93-84=9
Current State: 41:[8, 4, 9], Operations: ['93-84=9']
Exploring Operation: 8*4=32, Resulting Numbers: [9, 32]
Generated Node #3: [9, 32] from Operation: 8*4=32
Current State: 41:[9, 32], Operations: ['93-84=9', '8*4=32']
Exploring Operation: 9+32=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[84, 8, 93, 4], Operations: []
Exploring Operation: 84-8=76, Resulting Numbers: [93, 4, 76]
Generated Node #0,0: 41:[93, 4, 76] Operation: 84-8=76
Exploring Operation: 84-4=80, Resulting Numbers: [8, 93, 80]
Generated Node #0,1: 41:[8, 93, 80] Operation: 84-4=80
Exploring Operation: 8*4=32, Resulting Numbers: [84, 93, 32]
Generated Node #0,2: 41:[84, 93, 32] Operation: 8*4=32
Exploring Operation: 93-84=9, Resulting Numbers: [8, 4, 9]
Generated Node #0,3: 41:[8, 4, 9] Operation: 93-84=9
Exploring Operation: 84/4=21, Resulting Numbers: [8, 93, 21]
Generated Node #0,4: 41:[8, 93, 21] Operation: 84/4=21
Start Sub Search at level 1: Moving to Node #0,3
Current State: 41:[8, 4, 9], Operations: ['93-84=9']
Exploring Operation: 4+9=13, Resulting Numbers: [8, 13]
Generated Node #0,3,0: 41:[8, 13] Operation: 4+9=13
Exploring Operation: 4*9=36, Resulting Numbers: [8, 36]
Generated Node #0,3,1: 41:[8, 36] Operation: 4*9=36
Exploring Operation: 8+4=12, Resulting Numbers: [9, 12]
Generated Node #0,3,2: 41:[9, 12] Operation: 8+4=12
Exploring Operation: 8*4=32, Resulting Numbers: [9, 32]
Generated Node #0,3,3: 41:[9, 32] Operation: 8*4=32
Exploring Operation: 8+9=17, Resulting Numbers: [4, 17]
Generated Node #0,3,4: 41:[4, 17] Operation: 8+9=17
Moving to Node #0,3,1
Current State: 41:[8, 36], Operations: ['93-84=9', '4*9=36']
Exploring Operation: 8*36=288, Resulting Numbers: [288]
288,41 unequal: No Solution
Exploring Operation: 36-8=28, Resulting Numbers: [28]
28,41 unequal: No Solution
Exploring Operation: 8+36=44, Resulting Numbers: [44]
44,41 unequal: No Solution
Moving to Node #0,3,3
Current State: 41:[9, 32], Operations: ['93-84=9', '8*4=32']
Exploring Operation: 32-9=23, Resulting Numbers: [23]
23,41 unequal: No Solution
Exploring Operation: 9+32=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[84, 8, 93, 4], Operations: []
Exploring Operation: 93-84=9, Resulting Numbers: [8, 4, 9]
Generated Node #0,3: 41:[8, 4, 9] Operation: 93-84=9
Moving to Node #0,3
Current State: 41:[8, 4, 9], Operations: ['93-84=9']
Exploring Operation: 8*4=32, Resulting Numbers: [9, 32]
Generated Node #0,3,3: 41:[9, 32] Operation: 8*4=32
Moving to Node #0,3,3
Current State: 41:[9, 32], Operations: ['93-84=9', '8*4=32']
Exploring Operation: 9+32=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_5 | mult_heuristic |
[
82,
57,
26,
3
] | 54 | [
"82-57=25",
"26+3=29",
"25+29=54"
] | Current State: 54:[82, 57, 26, 3], Operations: []
Exploring Operation: 82-57=25, Resulting Numbers: [26, 3, 25]
Generated Node #2: [26, 3, 25] from Operation: 82-57=25
Current State: 54:[26, 3, 25], Operations: ['82-57=25']
Exploring Operation: 26+3=29, Resulting Numbers: [25, 29]
Generated Node #3: [25, 29] from Operation: 26+3=29
Current State: 54:[25, 29], Operations: ['82-57=25', '26+3=29']
Exploring Operation: 25+29=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[82, 57, 26, 3], Operations: []
Exploring Operation: 82-57=25, Resulting Numbers: [26, 3, 25]
Generated Node #0,0: 54:[26, 3, 25] Operation: 82-57=25
Exploring Operation: 82-26=56, Resulting Numbers: [57, 3, 56]
Generated Node #0,1: 54:[57, 3, 56] Operation: 82-26=56
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[26, 3, 25], Operations: ['82-57=25']
Exploring Operation: 3+25=28, Resulting Numbers: [26, 28]
Generated Node #0,0,0: 54:[26, 28] Operation: 3+25=28
Exploring Operation: 26-25=1, Resulting Numbers: [3, 1]
Generated Node #0,0,1: 54:[3, 1] Operation: 26-25=1
Moving to Node #0,0,1
Current State: 54:[3, 1], Operations: ['82-57=25', '26-25=1']
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,54 unequal: No Solution
Moving to Node #0,0,0
Current State: 54:[26, 28], Operations: ['82-57=25', '3+25=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:[82, 57, 26, 3], Operations: []
Exploring Operation: 82-57=25, Resulting Numbers: [26, 3, 25]
Generated Node #0,0: 54:[26, 3, 25] Operation: 82-57=25
Moving to Node #0,0
Current State: 54:[26, 3, 25], Operations: ['82-57=25']
Exploring Operation: 3+25=28, Resulting Numbers: [26, 28]
Generated Node #0,0,0: 54:[26, 28] Operation: 3+25=28
Moving to Node #0,0,0
Current State: 54:[26, 28], Operations: ['82-57=25', '3+25=28']
Exploring Operation: 26+28=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.