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 |
|---|---|---|---|---|---|---|---|---|
[
10,
2,
38,
70
] | 68 | [
"70-10=60",
"60/2=30",
"38+30=68"
] | Current State: 68:[10, 2, 38, 70], Operations: []
Exploring Operation: 70-10=60, Resulting Numbers: [2, 38, 60]
Generated Node #2: [2, 38, 60] from Operation: 70-10=60
Current State: 68:[2, 38, 60], Operations: ['70-10=60']
Exploring Operation: 60/2=30, Resulting Numbers: [38, 30]
Generated Node #3: [38, 30] from Operation: 60/2=30
Current State: 68:[38, 30], Operations: ['70-10=60', '60/2=30']
Exploring Operation: 38+30=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[10, 2, 38, 70], Operations: []
Exploring Operation: 10/2=5, Resulting Numbers: [38, 70, 5]
Generated Node #0,0: 68:[38, 70, 5] Operation: 10/2=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[38, 70, 5], Operations: ['10/2=5']
Exploring Operation: 70-38=32, Resulting Numbers: [5, 32]
Generated Node #0,0,0: 68:[5, 32] Operation: 70-38=32
Moving to Node #0,0,0
Current State: 68:[5, 32], Operations: ['10/2=5', '70-38=32']
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,68 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,
21,
73,
36
] | 77 | [
"48+36=84",
"84/21=4",
"73+4=77"
] | Current State: 77:[48, 21, 73, 36], Operations: []
Exploring Operation: 48+36=84, Resulting Numbers: [21, 73, 84]
Generated Node #2: [21, 73, 84] from Operation: 48+36=84
Current State: 77:[21, 73, 84], Operations: ['48+36=84']
Exploring Operation: 84/21=4, Resulting Numbers: [73, 4]
Generated Node #3: [73, 4] from Operation: 84/21=4
Current State: 77:[73, 4], Operations: ['48+36=84', '84/21=4']
Exploring Operation: 73+4=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[48, 21, 73, 36], Operations: []
Exploring Operation: 48-36=12, Resulting Numbers: [21, 73, 12]
Generated Node #0,0: 77:[21, 73, 12] Operation: 48-36=12
Moving to Node #0,0
Current State: 77:[21, 73, 12], Operations: ['48-36=12']
Exploring Operation: 21-12=9, Resulting Numbers: [73, 9]
Generated Node #0,0,0: 77:[73, 9] Operation: 21-12=9
Moving to Node #0,0,0
Current State: 77:[73, 9], Operations: ['48-36=12', '21-12=9']
Exploring Operation: 73+9=82, Resulting Numbers: [82]
82,77 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
30,
30,
45,
68
] | 46 | [
"30*68=2040",
"30+2040=2070",
"2070/45=46"
] | Current State: 46:[30, 30, 45, 68], Operations: []
Exploring Operation: 30*68=2040, Resulting Numbers: [45, 2040]
Generated Node #2: [45, 2040] from Operation: 30*68=2040
Current State: 46:[45, 2040], Operations: ['30*68=2040']
Exploring Operation: 30+2040=2070, Resulting Numbers: [45, 2070]
Generated Node #3: [45, 2070] from Operation: 30+2040=2070
Current State: 46:[45, 2070], Operations: ['30*68=2040', '30+2040=2070']
Exploring Operation: 2070/45=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[30, 30, 45, 68], Operations: []
Exploring Operation: 68-30=38, Resulting Numbers: [30, 45, 38]
Generated Node #0,0: 46:[30, 45, 38] Operation: 68-30=38
Exploring Operation: 30-30=0, Resulting Numbers: [45, 68, 0]
Generated Node #0,1: 46:[45, 68, 0] Operation: 30-30=0
Exploring Operation: 68-45=23, Resulting Numbers: [30, 30, 23]
Generated Node #0,2: 46:[30, 30, 23] Operation: 68-45=23
Exploring Operation: 30/30=1, Resulting Numbers: [45, 68, 1]
Generated Node #0,3: 46:[45, 68, 1] Operation: 30/30=1
Exploring Operation: 68-30=38, Resulting Numbers: [30, 45, 38]
Generated Node #0,4: 46:[30, 45, 38] Operation: 68-30=38
Moving to Node #0,2
Current State: 46:[30, 30, 23], Operations: ['68-45=23']
Exploring Operation: 30-23=7, Resulting Numbers: [30, 7]
Generated Node #0,2,0: 46:[30, 7] Operation: 30-23=7
Exploring Operation: 30/30=1, Resulting Numbers: [23, 1]
Generated Node #0,2,1: 46:[23, 1] Operation: 30/30=1
Exploring Operation: 30+30=60, Resulting Numbers: [23, 60]
Generated Node #0,2,2: 46:[23, 60] Operation: 30+30=60
Exploring Operation: 30-23=7, Resulting Numbers: [30, 7]
Generated Node #0,2,3: 46:[30, 7] Operation: 30-23=7
Exploring Operation: 30-30=0, Resulting Numbers: [23, 0]
Generated Node #0,2,4: 46:[23, 0] Operation: 30-30=0
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 46:[23, 1], Operations: ['68-45=23', '30/30=1']
Exploring Operation: 23/1=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 23+1=24, Resulting Numbers: [24]
24,46 unequal: No Solution
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,46 unequal: No Solution
Exploring Operation: 23*1=23, Resulting Numbers: [23]
23,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 46:[23, 0], Operations: ['68-45=23', '30-30=0']
Exploring Operation: 23-0=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 23*0=0, Resulting Numbers: [0]
0,46 unequal: No Solution
Exploring Operation: 23+0=23, Resulting Numbers: [23]
23,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 46:[30, 7], Operations: ['68-45=23', '30-23=7']
Exploring Operation: 30*7=210, Resulting Numbers: [210]
210,46 unequal: No Solution
Exploring Operation: 30-7=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 30+7=37, Resulting Numbers: [37]
37,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 46:[30, 7], Operations: ['68-45=23', '30-23=7']
Exploring Operation: 30-7=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 30+7=37, Resulting Numbers: [37]
37,46 unequal: No Solution
Exploring Operation: 30*7=210, Resulting Numbers: [210]
210,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 46:[23, 60], Operations: ['68-45=23', '30+30=60']
Exploring Operation: 23*60=1380, Resulting Numbers: [1380]
1380,46 unequal: No Solution
Exploring Operation: 23+60=83, Resulting Numbers: [83]
83,46 unequal: No Solution
Exploring Operation: 60-23=37, Resulting Numbers: [37]
37,46 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: 46:[30, 45, 38], Operations: ['68-30=38']
Exploring Operation: 38-30=8, Resulting Numbers: [45, 8]
Generated Node #0,4,0: 46:[45, 8] Operation: 38-30=8
Exploring Operation: 30+45=75, Resulting Numbers: [38, 75]
Generated Node #0,4,1: 46:[38, 75] Operation: 30+45=75
Exploring Operation: 45-30=15, Resulting Numbers: [38, 15]
Generated Node #0,4,2: 46:[38, 15] Operation: 45-30=15
Exploring Operation: 30+38=68, Resulting Numbers: [45, 68]
Generated Node #0,4,3: 46:[45, 68] Operation: 30+38=68
Exploring Operation: 45-38=7, Resulting Numbers: [30, 7]
Generated Node #0,4,4: 46:[30, 7] Operation: 45-38=7
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 46:[45, 8], Operations: ['68-30=38', '38-30=8']
Exploring Operation: 45+8=53, Resulting Numbers: [53]
53,46 unequal: No Solution
Exploring Operation: 45*8=360, Resulting Numbers: [360]
360,46 unequal: No Solution
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 46:[30, 7], Operations: ['68-30=38', '45-38=7']
Exploring Operation: 30*7=210, Resulting Numbers: [210]
210,46 unequal: No Solution
Exploring Operation: 30-7=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 30+7=37, Resulting Numbers: [37]
37,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 46:[38, 15], Operations: ['68-30=38', '45-30=15']
Exploring Operation: 38+15=53, Resulting Numbers: [53]
53,46 unequal: No Solution
Exploring Operation: 38*15=570, Resulting Numbers: [570]
570,46 unequal: No Solution
Exploring Operation: 38-15=23, Resulting Numbers: [23]
23,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 46:[45, 68], Operations: ['68-30=38', '30+38=68']
Exploring Operation: 68-45=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 45+68=113, Resulting Numbers: [113]
113,46 unequal: No Solution
Exploring Operation: 45*68=3060, Resulting Numbers: [3060]
3060,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 46:[38, 75], Operations: ['68-30=38', '30+45=75']
Exploring Operation: 38*75=2850, Resulting Numbers: [2850]
2850,46 unequal: No Solution
Exploring Operation: 38+75=113, Resulting Numbers: [113]
113,46 unequal: No Solution
Exploring Operation: 75-38=37, Resulting Numbers: [37]
37,46 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: 46:[30, 45, 38], Operations: ['68-30=38']
Exploring Operation: 30+45=75, Resulting Numbers: [38, 75]
Generated Node #0,0,0: 46:[38, 75] Operation: 30+45=75
Exploring Operation: 38-30=8, Resulting Numbers: [45, 8]
Generated Node #0,0,1: 46:[45, 8] Operation: 38-30=8
Exploring Operation: 45-30=15, Resulting Numbers: [38, 15]
Generated Node #0,0,2: 46:[38, 15] Operation: 45-30=15
Exploring Operation: 30+38=68, Resulting Numbers: [45, 68]
Generated Node #0,0,3: 46:[45, 68] Operation: 30+38=68
Exploring Operation: 45-38=7, Resulting Numbers: [30, 7]
Generated Node #0,0,4: 46:[30, 7] Operation: 45-38=7
Moving to Node #0,3
Current State: 46:[45, 68, 1], Operations: ['30/30=1']
Exploring Operation: 68-45=23, Resulting Numbers: [1, 23]
Generated Node #0,3,0: 46:[1, 23] Operation: 68-45=23
Exploring Operation: 45/1=45, Resulting Numbers: [68, 45]
Generated Node #0,3,1: 46:[68, 45] Operation: 45/1=45
Exploring Operation: 68-1=67, Resulting Numbers: [45, 67]
Generated Node #0,3,2: 46:[45, 67] Operation: 68-1=67
Exploring Operation: 45*1=45, Resulting Numbers: [68, 45]
Generated Node #0,3,3: 46:[68, 45] Operation: 45*1=45
Exploring Operation: 45+1=46, Resulting Numbers: [68, 46]
Generated Node #0,3,4: 46:[68, 46] Operation: 45+1=46
Moving to Node #0,1
Current State: 46:[45, 68, 0], Operations: ['30-30=0']
Exploring Operation: 45-0=45, Resulting Numbers: [68, 45]
Generated Node #0,1,0: 46:[68, 45] Operation: 45-0=45
Exploring Operation: 68+0=68, Resulting Numbers: [45, 68]
Generated Node #0,1,1: 46:[45, 68] Operation: 68+0=68
Exploring Operation: 68*0=0, Resulting Numbers: [45, 0]
Generated Node #0,1,2: 46:[45, 0] Operation: 68*0=0
Exploring Operation: 68-45=23, Resulting Numbers: [0, 23]
Generated Node #0,1,3: 46:[0, 23] Operation: 68-45=23
Exploring Operation: 45+0=45, Resulting Numbers: [68, 45]
Generated Node #0,1,4: 46:[68, 45] Operation: 45+0=45
Moving to Node #0,3,0
Current State: 46:[1, 23], Operations: ['30/30=1', '68-45=23']
Exploring Operation: 1*23=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 23/1=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,46 unequal: No Solution
Exploring Operation: 1+23=24, Resulting Numbers: [24]
24,46 unequal: No Solution
Moving to Node #0,1,3
Current State: 46:[0, 23], Operations: ['30-30=0', '68-45=23']
Exploring Operation: 0+23=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 23-0=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 0*23=0, Resulting Numbers: [0]
0,46 unequal: No Solution
Moving to Node #0,1,2
Current State: 46:[45, 0], Operations: ['30-30=0', '68*0=0']
Exploring Operation: 45-0=45, Resulting Numbers: [45]
45,46 unequal: No Solution
Exploring Operation: 45+0=45, Resulting Numbers: [45]
45,46 unequal: No Solution
Exploring Operation: 45*0=0, Resulting Numbers: [0]
0,46 unequal: No Solution
Moving to Node #0,0,1
Current State: 46:[45, 8], Operations: ['68-30=38', '38-30=8']
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,46 unequal: No Solution
Exploring Operation: 45+8=53, Resulting Numbers: [53]
53,46 unequal: No Solution
Exploring Operation: 45*8=360, Resulting Numbers: [360]
360,46 unequal: No Solution
Moving to Node #0,0,4
Current State: 46:[30, 7], Operations: ['68-30=38', '45-38=7']
Exploring Operation: 30*7=210, Resulting Numbers: [210]
210,46 unequal: No Solution
Exploring Operation: 30+7=37, Resulting Numbers: [37]
37,46 unequal: No Solution
Exploring Operation: 30-7=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Moving to Node #0,0,2
Current State: 46:[38, 15], Operations: ['68-30=38', '45-30=15']
Exploring Operation: 38+15=53, Resulting Numbers: [53]
53,46 unequal: No Solution
Exploring Operation: 38*15=570, Resulting Numbers: [570]
570,46 unequal: No Solution
Exploring Operation: 38-15=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Moving to Node #0,3,2
Current State: 46:[45, 67], Operations: ['30/30=1', '68-1=67']
Exploring Operation: 45*67=3015, Resulting Numbers: [3015]
3015,46 unequal: No Solution
Exploring Operation: 67-45=22, Resulting Numbers: [22]
22,46 unequal: No Solution
Exploring Operation: 45+67=112, Resulting Numbers: [112]
112,46 unequal: No Solution
Moving to Node #0,3,4
Current State: 46:[68, 46], Operations: ['30/30=1', '45+1=46']
Exploring Operation: 68*46=3128, Resulting Numbers: [3128]
3128,46 unequal: No Solution
Exploring Operation: 68-46=22, Resulting Numbers: [22]
22,46 unequal: No Solution
Exploring Operation: 68+46=114, Resulting Numbers: [114]
114,46 unequal: No Solution
Moving to Node #0,1,4
Current State: 46:[68, 45], Operations: ['30-30=0', '45+0=45']
Exploring Operation: 68+45=113, Resulting Numbers: [113]
113,46 unequal: No Solution
Exploring Operation: 68*45=3060, Resulting Numbers: [3060]
3060,46 unequal: No Solution
Exploring Operation: 68-45=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Moving to Node #0,1,1
Current State: 46:[45, 68], Operations: ['30-30=0', '68+0=68']
Exploring Operation: 68-45=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 45+68=113, Resulting Numbers: [113]
113,46 unequal: No Solution
Exploring Operation: 45*68=3060, Resulting Numbers: [3060]
3060,46 unequal: No Solution
Moving to Node #0,0,3
Current State: 46:[45, 68], Operations: ['68-30=38', '30+38=68']
Exploring Operation: 45*68=3060, Resulting Numbers: [3060]
3060,46 unequal: No Solution
Exploring Operation: 68-45=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 45+68=113, Resulting Numbers: [113]
113,46 unequal: No Solution
Moving to Node #0,3,3
Current State: 46:[68, 45], Operations: ['30/30=1', '45*1=45']
Exploring Operation: 68*45=3060, Resulting Numbers: [3060]
3060,46 unequal: No Solution
Exploring Operation: 68+45=113, Resulting Numbers: [113]
113,46 unequal: No Solution
Exploring Operation: 68-45=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Moving to Node #0,3,1
Current State: 46:[68, 45], Operations: ['30/30=1', '45/1=45']
Exploring Operation: 68-45=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 68+45=113, Resulting Numbers: [113]
113,46 unequal: No Solution
Exploring Operation: 68*45=3060, Resulting Numbers: [3060]
3060,46 unequal: No Solution
Moving to Node #0,1,0
Current State: 46:[68, 45], Operations: ['30-30=0', '45-0=45']
Exploring Operation: 68*45=3060, Resulting Numbers: [3060]
3060,46 unequal: No Solution
Exploring Operation: 68-45=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 68+45=113, Resulting Numbers: [113]
113,46 unequal: No Solution
Moving to Node #0,0,0
Current State: 46:[38, 75], Operations: ['68-30=38', '30+45=75']
Exploring Operation: 75-38=37, Resulting Numbers: [37]
37,46 unequal: No Solution
Exploring Operation: 38+75=113, Resulting Numbers: [113]
113,46 unequal: No Solution
Exploring Operation: 38*75=2850, Resulting Numbers: [2850]
2850,46 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
28,
76,
1,
29
] | 78 | [
"76-28=48",
"1+29=30",
"48+30=78"
] | Current State: 78:[28, 76, 1, 29], Operations: []
Exploring Operation: 76-28=48, Resulting Numbers: [1, 29, 48]
Generated Node #2: [1, 29, 48] from Operation: 76-28=48
Current State: 78:[1, 29, 48], Operations: ['76-28=48']
Exploring Operation: 1+29=30, Resulting Numbers: [48, 30]
Generated Node #3: [48, 30] from Operation: 1+29=30
Current State: 78:[48, 30], Operations: ['76-28=48', '1+29=30']
Exploring Operation: 48+30=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[28, 76, 1, 29], Operations: []
Exploring Operation: 29-28=1, Resulting Numbers: [76, 1, 1]
Generated Node #0,0: 78:[76, 1, 1] Operation: 29-28=1
Moving to Node #0,0
Current State: 78:[76, 1, 1], Operations: ['29-28=1']
Exploring Operation: 76+1=77, Resulting Numbers: [1, 77]
Generated Node #0,0,0: 78:[1, 77] Operation: 76+1=77
Moving to Node #0,0,0
Current State: 78:[1, 77], Operations: ['29-28=1', '76+1=77']
Exploring Operation: 1+77=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[28, 76, 1, 29], Operations: []
Exploring Operation: 29-28=1, Resulting Numbers: [76, 1, 1]
Generated Node #0,0: 78:[76, 1, 1] Operation: 29-28=1
Moving to Node #0,0
Current State: 78:[76, 1, 1], Operations: ['29-28=1']
Exploring Operation: 76+1=77, Resulting Numbers: [1, 77]
Generated Node #0,0,0: 78:[1, 77] Operation: 76+1=77
Moving to Node #0,0,0
Current State: 78:[1, 77], Operations: ['29-28=1', '76+1=77']
Exploring Operation: 1+77=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
36,
10,
96,
50
] | 56 | [
"96-36=60",
"60/10=6",
"50+6=56"
] | Current State: 56:[36, 10, 96, 50], Operations: []
Exploring Operation: 96-36=60, Resulting Numbers: [10, 50, 60]
Generated Node #2: [10, 50, 60] from Operation: 96-36=60
Current State: 56:[10, 50, 60], Operations: ['96-36=60']
Exploring Operation: 60/10=6, Resulting Numbers: [50, 6]
Generated Node #3: [50, 6] from Operation: 60/10=6
Current State: 56:[50, 6], Operations: ['96-36=60', '60/10=6']
Exploring Operation: 50+6=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[36, 10, 96, 50], Operations: []
Exploring Operation: 96-36=60, Resulting Numbers: [10, 50, 60]
Generated Node #0,0: 56:[10, 50, 60] Operation: 96-36=60
Exploring Operation: 96-10=86, Resulting Numbers: [36, 50, 86]
Generated Node #0,1: 56:[36, 50, 86] Operation: 96-10=86
Exploring Operation: 50-36=14, Resulting Numbers: [10, 96, 14]
Generated Node #0,2: 56:[10, 96, 14] Operation: 50-36=14
Exploring Operation: 96-50=46, Resulting Numbers: [36, 10, 46]
Generated Node #0,3: 56:[36, 10, 46] Operation: 96-50=46
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[10, 50, 60], Operations: ['96-36=60']
Exploring Operation: 50/10=5, Resulting Numbers: [60, 5]
Generated Node #0,0,0: 56:[60, 5] Operation: 50/10=5
Exploring Operation: 60-50=10, Resulting Numbers: [10, 10]
Generated Node #0,0,1: 56:[10, 10] Operation: 60-50=10
Exploring Operation: 60/10=6, Resulting Numbers: [50, 6]
Generated Node #0,0,2: 56:[50, 6] Operation: 60/10=6
Exploring Operation: 10+50=60, Resulting Numbers: [60, 60]
Generated Node #0,0,3: 56:[60, 60] Operation: 10+50=60
Moving to Node #0,0,1
Current State: 56:[10, 10], Operations: ['96-36=60', '60-50=10']
Exploring Operation: 10/10=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,56 unequal: No Solution
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,56 unequal: No Solution
Exploring Operation: 10-10=0, Resulting Numbers: [0]
0,56 unequal: No Solution
Moving to Node #0,0,0
Current State: 56:[60, 5], Operations: ['96-36=60', '50/10=5']
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,56 unequal: No Solution
Exploring Operation: 60+5=65, Resulting Numbers: [65]
65,56 unequal: No Solution
Exploring Operation: 60*5=300, Resulting Numbers: [300]
300,56 unequal: No Solution
Exploring Operation: 60-5=55, Resulting Numbers: [55]
55,56 unequal: No Solution
Moving to Node #0,0,2
Current State: 56:[50, 6], Operations: ['96-36=60', '60/10=6']
Exploring Operation: 50+6=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[36, 10, 96, 50], Operations: []
Exploring Operation: 96-36=60, Resulting Numbers: [10, 50, 60]
Generated Node #0,0: 56:[10, 50, 60] Operation: 96-36=60
Moving to Node #0,0
Current State: 56:[10, 50, 60], Operations: ['96-36=60']
Exploring Operation: 60/10=6, Resulting Numbers: [50, 6]
Generated Node #0,0,2: 56:[50, 6] Operation: 60/10=6
Moving to Node #0,0,2
Current State: 56:[50, 6], Operations: ['96-36=60', '60/10=6']
Exploring Operation: 50+6=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | mult_heuristic |
[
42,
69,
86,
2
] | 23 | [
"42+69=111",
"86+2=88",
"111-88=23"
] | Current State: 23:[42, 69, 86, 2], Operations: []
Exploring Operation: 42+69=111, Resulting Numbers: [86, 2, 111]
Generated Node #2: [86, 2, 111] from Operation: 42+69=111
Current State: 23:[86, 2, 111], Operations: ['42+69=111']
Exploring Operation: 86+2=88, Resulting Numbers: [111, 88]
Generated Node #3: [111, 88] from Operation: 86+2=88
Current State: 23:[111, 88], Operations: ['42+69=111', '86+2=88']
Exploring Operation: 111-88=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[42, 69, 86, 2], Operations: []
Exploring Operation: 86-42=44, Resulting Numbers: [69, 2, 44]
Generated Node #0,0: 23:[69, 2, 44] Operation: 86-42=44
Exploring Operation: 86/2=43, Resulting Numbers: [42, 69, 43]
Generated Node #0,1: 23:[42, 69, 43] Operation: 86/2=43
Exploring Operation: 86-69=17, Resulting Numbers: [42, 2, 17]
Generated Node #0,2: 23:[42, 2, 17] Operation: 86-69=17
Exploring Operation: 42/2=21, Resulting Numbers: [69, 86, 21]
Generated Node #0,3: 23:[69, 86, 21] Operation: 42/2=21
Exploring Operation: 69-42=27, Resulting Numbers: [86, 2, 27]
Generated Node #0,4: 23:[86, 2, 27] Operation: 69-42=27
Moving to Node #0,2
Current State: 23:[42, 2, 17], Operations: ['86-69=17']
Exploring Operation: 42-2=40, Resulting Numbers: [17, 40]
Generated Node #0,2,0: 23:[17, 40] Operation: 42-2=40
Exploring Operation: 42-17=25, Resulting Numbers: [2, 25]
Generated Node #0,2,1: 23:[2, 25] Operation: 42-17=25
Exploring Operation: 42/2=21, Resulting Numbers: [17, 21]
Generated Node #0,2,2: 23:[17, 21] Operation: 42/2=21
Exploring Operation: 2+17=19, Resulting Numbers: [42, 19]
Generated Node #0,2,3: 23:[42, 19] Operation: 2+17=19
Exploring Operation: 42+2=44, Resulting Numbers: [17, 44]
Generated Node #0,2,4: 23:[17, 44] Operation: 42+2=44
Moving to Node #0,1
Current State: 23:[42, 69, 43], Operations: ['86/2=43']
Exploring Operation: 69-42=27, Resulting Numbers: [43, 27]
Generated Node #0,1,0: 23:[43, 27] Operation: 69-42=27
Exploring Operation: 42+69=111, Resulting Numbers: [43, 111]
Generated Node #0,1,1: 23:[43, 111] Operation: 42+69=111
Exploring Operation: 42+43=85, Resulting Numbers: [69, 85]
Generated Node #0,1,2: 23:[69, 85] Operation: 42+43=85
Exploring Operation: 43-42=1, Resulting Numbers: [69, 1]
Generated Node #0,1,3: 23:[69, 1] Operation: 43-42=1
Exploring Operation: 69-43=26, Resulting Numbers: [42, 26]
Generated Node #0,1,4: 23:[42, 26] Operation: 69-43=26
Moving to Node #0,0
Current State: 23:[69, 2, 44], Operations: ['86-42=44']
Exploring Operation: 44/2=22, Resulting Numbers: [69, 22]
Generated Node #0,0,0: 23:[69, 22] Operation: 44/2=22
Exploring Operation: 69+2=71, Resulting Numbers: [44, 71]
Generated Node #0,0,1: 23:[44, 71] Operation: 69+2=71
Exploring Operation: 44-2=42, Resulting Numbers: [69, 42]
Generated Node #0,0,2: 23:[69, 42] Operation: 44-2=42
Exploring Operation: 69-2=67, Resulting Numbers: [44, 67]
Generated Node #0,0,3: 23:[44, 67] Operation: 69-2=67
Exploring Operation: 69-44=25, Resulting Numbers: [2, 25]
Generated Node #0,0,4: 23:[2, 25] Operation: 69-44=25
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 23:[2, 25], Operations: ['86-42=44', '69-44=25']
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,23 unequal: No Solution
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[42, 69, 86, 2], Operations: []
Exploring Operation: 86-42=44, Resulting Numbers: [69, 2, 44]
Generated Node #0,0: 23:[69, 2, 44] Operation: 86-42=44
Moving to Node #0,0
Current State: 23:[69, 2, 44], Operations: ['86-42=44']
Exploring Operation: 69-44=25, Resulting Numbers: [2, 25]
Generated Node #0,0,4: 23:[2, 25] Operation: 69-44=25
Moving to Node #0,0,4
Current State: 23:[2, 25], Operations: ['86-42=44', '69-44=25']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_5 | sum_heuristic |
[
49,
14,
91,
77
] | 50 | [
"91-14=77",
"77/77=1",
"49+1=50"
] | Current State: 50:[49, 14, 91, 77], Operations: []
Exploring Operation: 91-14=77, Resulting Numbers: [49, 77, 77]
Generated Node #2: [49, 77, 77] from Operation: 91-14=77
Current State: 50:[49, 77, 77], Operations: ['91-14=77']
Exploring Operation: 77/77=1, Resulting Numbers: [49, 1]
Generated Node #3: [49, 1] from Operation: 77/77=1
Current State: 50:[49, 1], Operations: ['91-14=77', '77/77=1']
Exploring Operation: 49+1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[49, 14, 91, 77], Operations: []
Exploring Operation: 91-49=42, Resulting Numbers: [14, 77, 42]
Generated Node #0,0: 50:[14, 77, 42] Operation: 91-49=42
Exploring Operation: 91-77=14, Resulting Numbers: [49, 14, 14]
Generated Node #0,1: 50:[49, 14, 14] Operation: 91-77=14
Exploring Operation: 77-14=63, Resulting Numbers: [49, 91, 63]
Generated Node #0,2: 50:[49, 91, 63] Operation: 77-14=63
Exploring Operation: 77-49=28, Resulting Numbers: [14, 91, 28]
Generated Node #0,3: 50:[14, 91, 28] Operation: 77-49=28
Exploring Operation: 91-14=77, Resulting Numbers: [49, 77, 77]
Generated Node #0,4: 50:[49, 77, 77] Operation: 91-14=77
Moving to Node #0,1
Current State: 50:[49, 14, 14], Operations: ['91-77=14']
Exploring Operation: 49-14=35, Resulting Numbers: [14, 35]
Generated Node #0,1,0: 50:[14, 35] Operation: 49-14=35
Exploring Operation: 14/14=1, Resulting Numbers: [49, 1]
Generated Node #0,1,1: 50:[49, 1] Operation: 14/14=1
Exploring Operation: 49-14=35, Resulting Numbers: [14, 35]
Generated Node #0,1,2: 50:[14, 35] Operation: 49-14=35
Exploring Operation: 14+14=28, Resulting Numbers: [49, 28]
Generated Node #0,1,3: 50:[49, 28] Operation: 14+14=28
Exploring Operation: 14-14=0, Resulting Numbers: [49, 0]
Generated Node #0,1,4: 50:[49, 0] Operation: 14-14=0
Moving to Node #0,0
Current State: 50:[14, 77, 42], Operations: ['91-49=42']
Exploring Operation: 42-14=28, Resulting Numbers: [77, 28]
Generated Node #0,0,0: 50:[77, 28] Operation: 42-14=28
Exploring Operation: 77-42=35, Resulting Numbers: [14, 35]
Generated Node #0,0,1: 50:[14, 35] Operation: 77-42=35
Exploring Operation: 42/14=3, Resulting Numbers: [77, 3]
Generated Node #0,0,2: 50:[77, 3] Operation: 42/14=3
Exploring Operation: 14+42=56, Resulting Numbers: [77, 56]
Generated Node #0,0,3: 50:[77, 56] Operation: 14+42=56
Exploring Operation: 77-14=63, Resulting Numbers: [42, 63]
Generated Node #0,0,4: 50:[42, 63] Operation: 77-14=63
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 50:[14, 35], Operations: ['91-49=42', '77-42=35']
Exploring Operation: 14*35=490, Resulting Numbers: [490]
490,50 unequal: No Solution
Exploring Operation: 14+35=49, Resulting Numbers: [49]
49,50 unequal: No Solution
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 50:[42, 63], Operations: ['91-49=42', '77-14=63']
Exploring Operation: 42*63=2646, Resulting Numbers: [2646]
2646,50 unequal: No Solution
Exploring Operation: 63-42=21, Resulting Numbers: [21]
21,50 unequal: No Solution
Exploring Operation: 42+63=105, Resulting Numbers: [105]
105,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 50:[77, 3], Operations: ['91-49=42', '42/14=3']
Exploring Operation: 77+3=80, Resulting Numbers: [80]
80,50 unequal: No Solution
Exploring Operation: 77*3=231, Resulting Numbers: [231]
231,50 unequal: No Solution
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 50:[77, 28], Operations: ['91-49=42', '42-14=28']
Exploring Operation: 77+28=105, Resulting Numbers: [105]
105,50 unequal: No Solution
Exploring Operation: 77*28=2156, Resulting Numbers: [2156]
2156,50 unequal: No Solution
Exploring Operation: 77-28=49, Resulting Numbers: [49]
49,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 50:[77, 56], Operations: ['91-49=42', '14+42=56']
Exploring Operation: 77-56=21, Resulting Numbers: [21]
21,50 unequal: No Solution
Exploring Operation: 77+56=133, Resulting Numbers: [133]
133,50 unequal: No Solution
Exploring Operation: 77*56=4312, Resulting Numbers: [4312]
4312,50 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: 50:[14, 91, 28], Operations: ['77-49=28']
Exploring Operation: 91-28=63, Resulting Numbers: [14, 63]
Generated Node #0,3,0: 50:[14, 63] Operation: 91-28=63
Exploring Operation: 28/14=2, Resulting Numbers: [91, 2]
Generated Node #0,3,1: 50:[91, 2] Operation: 28/14=2
Exploring Operation: 14+28=42, Resulting Numbers: [91, 42]
Generated Node #0,3,2: 50:[91, 42] Operation: 14+28=42
Exploring Operation: 91-14=77, Resulting Numbers: [28, 77]
Generated Node #0,3,3: 50:[28, 77] Operation: 91-14=77
Exploring Operation: 28-14=14, Resulting Numbers: [91, 14]
Generated Node #0,3,4: 50:[91, 14] Operation: 28-14=14
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 50:[14, 63], Operations: ['77-49=28', '91-28=63']
Exploring Operation: 63-14=49, Resulting Numbers: [49]
49,50 unequal: No Solution
Exploring Operation: 14*63=882, Resulting Numbers: [882]
882,50 unequal: No Solution
Exploring Operation: 14+63=77, Resulting Numbers: [77]
77,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 50:[28, 77], Operations: ['77-49=28', '91-14=77']
Exploring Operation: 28+77=105, Resulting Numbers: [105]
105,50 unequal: No Solution
Exploring Operation: 77-28=49, Resulting Numbers: [49]
49,50 unequal: No Solution
Exploring Operation: 28*77=2156, Resulting Numbers: [2156]
2156,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 50:[91, 2], Operations: ['77-49=28', '28/14=2']
Exploring Operation: 91*2=182, Resulting Numbers: [182]
182,50 unequal: No Solution
Exploring Operation: 91+2=93, Resulting Numbers: [93]
93,50 unequal: No Solution
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 50:[91, 14], Operations: ['77-49=28', '28-14=14']
Exploring Operation: 91-14=77, Resulting Numbers: [77]
77,50 unequal: No Solution
Exploring Operation: 91+14=105, Resulting Numbers: [105]
105,50 unequal: No Solution
Exploring Operation: 91*14=1274, Resulting Numbers: [1274]
1274,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 50:[91, 42], Operations: ['77-49=28', '14+28=42']
Exploring Operation: 91+42=133, Resulting Numbers: [133]
133,50 unequal: No Solution
Exploring Operation: 91-42=49, Resulting Numbers: [49]
49,50 unequal: No Solution
Exploring Operation: 91*42=3822, Resulting Numbers: [3822]
3822,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 50:[49, 91, 63], Operations: ['77-14=63']
Exploring Operation: 49+91=140, Resulting Numbers: [63, 140]
Generated Node #0,2,0: 50:[63, 140] Operation: 49+91=140
Exploring Operation: 91-63=28, Resulting Numbers: [49, 28]
Generated Node #0,2,1: 50:[49, 28] Operation: 91-63=28
Exploring Operation: 91-49=42, Resulting Numbers: [63, 42]
Generated Node #0,2,2: 50:[63, 42] Operation: 91-49=42
Exploring Operation: 49+63=112, Resulting Numbers: [91, 112]
Generated Node #0,2,3: 50:[91, 112] Operation: 49+63=112
Exploring Operation: 63-49=14, Resulting Numbers: [91, 14]
Generated Node #0,2,4: 50:[91, 14] Operation: 63-49=14
Moving to Node #0,4
Current State: 50:[49, 77, 77], Operations: ['91-14=77']
Exploring Operation: 77-49=28, Resulting Numbers: [77, 28]
Generated Node #0,4,0: 50:[77, 28] Operation: 77-49=28
Exploring Operation: 77-49=28, Resulting Numbers: [77, 28]
Generated Node #0,4,1: 50:[77, 28] Operation: 77-49=28
Exploring Operation: 49+77=126, Resulting Numbers: [77, 126]
Generated Node #0,4,2: 50:[77, 126] Operation: 49+77=126
Exploring Operation: 77-77=0, Resulting Numbers: [49, 0]
Generated Node #0,4,3: 50:[49, 0] Operation: 77-77=0
Exploring Operation: 77/77=1, Resulting Numbers: [49, 1]
Generated Node #0,4,4: 50:[49, 1] Operation: 77/77=1
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 50:[49, 1], Operations: ['91-14=77', '77/77=1']
Exploring Operation: 49*1=49, Resulting Numbers: [49]
49,50 unequal: No Solution
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,50 unequal: No Solution
Exploring Operation: 49+1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[49, 14, 91, 77], Operations: []
Exploring Operation: 91-14=77, Resulting Numbers: [49, 77, 77]
Generated Node #0,4: 50:[49, 77, 77] Operation: 91-14=77
Moving to Node #0,4
Current State: 50:[49, 77, 77], Operations: ['91-14=77']
Exploring Operation: 77/77=1, Resulting Numbers: [49, 1]
Generated Node #0,4,4: 50:[49, 1] Operation: 77/77=1
Moving to Node #0,4,4
Current State: 50:[49, 1], Operations: ['91-14=77', '77/77=1']
Exploring Operation: 49+1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.94184 | hs_5 | sum_heuristic |
[
1,
52,
19,
3
] | 85 | [
"3-1=2",
"52*2=104",
"104-19=85"
] | Current State: 85:[1, 52, 19, 3], Operations: []
Exploring Operation: 3-1=2, Resulting Numbers: [52, 19, 2]
Generated Node #2: [52, 19, 2] from Operation: 3-1=2
Current State: 85:[52, 19, 2], Operations: ['3-1=2']
Exploring Operation: 52*2=104, Resulting Numbers: [19, 104]
Generated Node #3: [19, 104] from Operation: 52*2=104
Current State: 85:[19, 104], Operations: ['3-1=2', '52*2=104']
Exploring Operation: 104-19=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[1, 52, 19, 3], Operations: []
Exploring Operation: 19-1=18, Resulting Numbers: [52, 3, 18]
Generated Node #0,0: 85:[52, 3, 18] Operation: 19-1=18
Exploring Operation: 1+3=4, Resulting Numbers: [52, 19, 4]
Generated Node #0,1: 85:[52, 19, 4] Operation: 1+3=4
Exploring Operation: 1+52=53, Resulting Numbers: [19, 3, 53]
Generated Node #0,2: 85:[19, 3, 53] Operation: 1+52=53
Exploring Operation: 52-19=33, Resulting Numbers: [1, 3, 33]
Generated Node #0,3: 85:[1, 3, 33] Operation: 52-19=33
Exploring Operation: 52+19=71, Resulting Numbers: [1, 3, 71]
Generated Node #0,4: 85:[1, 3, 71] Operation: 52+19=71
Start Sub Search at level 1: Moving to Node #0,4
Current State: 85:[1, 3, 71], Operations: ['52+19=71']
Exploring Operation: 1+3=4, Resulting Numbers: [71, 4]
Generated Node #0,4,0: 85:[71, 4] Operation: 1+3=4
Exploring Operation: 3/1=3, Resulting Numbers: [71, 3]
Generated Node #0,4,1: 85:[71, 3] Operation: 3/1=3
Exploring Operation: 1*3=3, Resulting Numbers: [71, 3]
Generated Node #0,4,2: 85:[71, 3] Operation: 1*3=3
Exploring Operation: 1+71=72, Resulting Numbers: [3, 72]
Generated Node #0,4,3: 85:[3, 72] Operation: 1+71=72
Exploring Operation: 3+71=74, Resulting Numbers: [1, 74]
Generated Node #0,4,4: 85:[1, 74] Operation: 3+71=74
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 85:[71, 4], Operations: ['52+19=71', '1+3=4']
Exploring Operation: 71+4=75, Resulting Numbers: [75]
75,85 unequal: No Solution
Exploring Operation: 71-4=67, Resulting Numbers: [67]
67,85 unequal: No Solution
Exploring Operation: 71*4=284, Resulting Numbers: [284]
284,85 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 #0,4,3
Current State: 85:[3, 72], Operations: ['52+19=71', '1+71=72']
Exploring Operation: 3*72=216, Resulting Numbers: [216]
216,85 unequal: No Solution
Exploring Operation: 3+72=75, Resulting Numbers: [75]
75,85 unequal: No Solution
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,85 unequal: No Solution
Exploring Operation: 72-3=69, Resulting Numbers: [69]
69,85 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 #0,4,4
Current State: 85:[1, 74], Operations: ['52+19=71', '3+71=74']
Exploring Operation: 1+74=75, Resulting Numbers: [75]
75,85 unequal: No Solution
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,85 unequal: No Solution
Exploring Operation: 74/1=74, Resulting Numbers: [74]
74,85 unequal: No Solution
Exploring Operation: 1*74=74, Resulting Numbers: [74]
74,85 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 #0,4,1
Current State: 85:[71, 3], Operations: ['52+19=71', '3/1=3']
Exploring Operation: 71+3=74, Resulting Numbers: [74]
74,85 unequal: No Solution
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,85 unequal: No Solution
Exploring Operation: 71*3=213, Resulting Numbers: [213]
213,85 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 #0,4,2
Current State: 85:[71, 3], Operations: ['52+19=71', '1*3=3']
Exploring Operation: 71*3=213, Resulting Numbers: [213]
213,85 unequal: No Solution
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,85 unequal: No Solution
Exploring Operation: 71+3=74, Resulting Numbers: [74]
74,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 85:[1, 3, 33], Operations: ['52-19=33']
Exploring Operation: 33/3=11, Resulting Numbers: [1, 11]
Generated Node #0,3,0: 85:[1, 11] Operation: 33/3=11
Exploring Operation: 33-1=32, Resulting Numbers: [3, 32]
Generated Node #0,3,1: 85:[3, 32] Operation: 33-1=32
Exploring Operation: 33-3=30, Resulting Numbers: [1, 30]
Generated Node #0,3,2: 85:[1, 30] Operation: 33-3=30
Exploring Operation: 1+3=4, Resulting Numbers: [33, 4]
Generated Node #0,3,3: 85:[33, 4] Operation: 1+3=4
Exploring Operation: 1*3=3, Resulting Numbers: [33, 3]
Generated Node #0,3,4: 85:[33, 3] Operation: 1*3=3
Moving to Node #0,3,0
Current State: 85:[1, 11], Operations: ['52-19=33', '33/3=11']
Exploring Operation: 1*11=11, Resulting Numbers: [11]
11,85 unequal: No Solution
Exploring Operation: 1+11=12, Resulting Numbers: [12]
12,85 unequal: No Solution
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,85 unequal: No Solution
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,85 unequal: No Solution
Moving to Node #0,3,2
Current State: 85:[1, 30], Operations: ['52-19=33', '33-3=30']
Exploring Operation: 30/1=30, Resulting Numbers: [30]
30,85 unequal: No Solution
Exploring Operation: 1*30=30, Resulting Numbers: [30]
30,85 unequal: No Solution
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,85 unequal: No Solution
Exploring Operation: 1+30=31, Resulting Numbers: [31]
31,85 unequal: No Solution
Moving to Node #0,3,1
Current State: 85:[3, 32], Operations: ['52-19=33', '33-1=32']
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,85 unequal: No Solution
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,85 unequal: No Solution
Exploring Operation: 3+32=35, Resulting Numbers: [35]
35,85 unequal: No Solution
Moving to Node #0,3,3
Current State: 85:[33, 4], Operations: ['52-19=33', '1+3=4']
Exploring Operation: 33+4=37, Resulting Numbers: [37]
37,85 unequal: No Solution
Exploring Operation: 33*4=132, Resulting Numbers: [132]
132,85 unequal: No Solution
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,85 unequal: No Solution
Moving to Node #0,3,4
Current State: 85:[33, 3], Operations: ['52-19=33', '1*3=3']
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,85 unequal: No Solution
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,85 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,85 unequal: No Solution
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[52, 3, 18], Operations: ['19-1=18']
Exploring Operation: 52+3=55, Resulting Numbers: [18, 55]
Generated Node #0,0,0: 85:[18, 55] Operation: 52+3=55
Exploring Operation: 18/3=6, Resulting Numbers: [52, 6]
Generated Node #0,0,1: 85:[52, 6] Operation: 18/3=6
Exploring Operation: 52+18=70, Resulting Numbers: [3, 70]
Generated Node #0,0,2: 85:[3, 70] Operation: 52+18=70
Exploring Operation: 52-3=49, Resulting Numbers: [18, 49]
Generated Node #0,0,3: 85:[18, 49] Operation: 52-3=49
Exploring Operation: 52-18=34, Resulting Numbers: [3, 34]
Generated Node #0,0,4: 85:[3, 34] Operation: 52-18=34
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 85:[3, 70], Operations: ['19-1=18', '52+18=70']
Exploring Operation: 3+70=73, Resulting Numbers: [73]
73,85 unequal: No Solution
Exploring Operation: 70-3=67, Resulting Numbers: [67]
67,85 unequal: No Solution
Exploring Operation: 3*70=210, Resulting Numbers: [210]
210,85 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 #0,0,4
Current State: 85:[3, 34], Operations: ['19-1=18', '52-18=34']
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,85 unequal: No Solution
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,85 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,85 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 #0,0,0
Current State: 85:[18, 55], Operations: ['19-1=18', '52+3=55']
Exploring Operation: 55-18=37, Resulting Numbers: [37]
37,85 unequal: No Solution
Exploring Operation: 18*55=990, Resulting Numbers: [990]
990,85 unequal: No Solution
Exploring Operation: 18+55=73, Resulting Numbers: [73]
73,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 85:[18, 49], Operations: ['19-1=18', '52-3=49']
Exploring Operation: 18*49=882, Resulting Numbers: [882]
882,85 unequal: No Solution
Exploring Operation: 49-18=31, Resulting Numbers: [31]
31,85 unequal: No Solution
Exploring Operation: 18+49=67, Resulting Numbers: [67]
67,85 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:[52, 6], Operations: ['19-1=18', '18/3=6']
Exploring Operation: 52-6=46, Resulting Numbers: [46]
46,85 unequal: No Solution
Exploring Operation: 52*6=312, Resulting Numbers: [312]
312,85 unequal: No Solution
Exploring Operation: 52+6=58, Resulting Numbers: [58]
58,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 85:[52, 19, 4], Operations: ['1+3=4']
Exploring Operation: 52-19=33, Resulting Numbers: [4, 33]
Generated Node #0,1,0: 85:[4, 33] Operation: 52-19=33
Exploring Operation: 52-4=48, Resulting Numbers: [19, 48]
Generated Node #0,1,1: 85:[19, 48] Operation: 52-4=48
Exploring Operation: 52/4=13, Resulting Numbers: [19, 13]
Generated Node #0,1,2: 85:[19, 13] Operation: 52/4=13
Exploring Operation: 52+19=71, Resulting Numbers: [4, 71]
Generated Node #0,1,3: 85:[4, 71] Operation: 52+19=71
Exploring Operation: 52+4=56, Resulting Numbers: [19, 56]
Generated Node #0,1,4: 85:[19, 56] Operation: 52+4=56
Moving to Node #0,1,2
Current State: 85:[19, 13], Operations: ['1+3=4', '52/4=13']
Exploring Operation: 19+13=32, Resulting Numbers: [32]
32,85 unequal: No Solution
Exploring Operation: 19*13=247, Resulting Numbers: [247]
247,85 unequal: No Solution
Exploring Operation: 19-13=6, Resulting Numbers: [6]
6,85 unequal: No Solution
Moving to Node #0,1,3
Current State: 85:[4, 71], Operations: ['1+3=4', '52+19=71']
Exploring Operation: 4*71=284, Resulting Numbers: [284]
284,85 unequal: No Solution
Exploring Operation: 4+71=75, Resulting Numbers: [75]
75,85 unequal: No Solution
Exploring Operation: 71-4=67, Resulting Numbers: [67]
67,85 unequal: No Solution
Moving to Node #0,1,0
Current State: 85:[4, 33], Operations: ['1+3=4', '52-19=33']
Exploring Operation: 4*33=132, Resulting Numbers: [132]
132,85 unequal: No Solution
Exploring Operation: 4+33=37, Resulting Numbers: [37]
37,85 unequal: No Solution
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,85 unequal: No Solution
Moving to Node #0,1,4
Current State: 85:[19, 56], Operations: ['1+3=4', '52+4=56']
Exploring Operation: 56-19=37, Resulting Numbers: [37]
37,85 unequal: No Solution
Exploring Operation: 19*56=1064, Resulting Numbers: [1064]
1064,85 unequal: No Solution
Exploring Operation: 19+56=75, Resulting Numbers: [75]
75,85 unequal: No Solution
Moving to Node #0,1,1
Current State: 85:[19, 48], Operations: ['1+3=4', '52-4=48']
Exploring Operation: 19+48=67, Resulting Numbers: [67]
67,85 unequal: No Solution
Exploring Operation: 48-19=29, Resulting Numbers: [29]
29,85 unequal: No Solution
Exploring Operation: 19*48=912, Resulting Numbers: [912]
912,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 85:[19, 3, 53], Operations: ['1+52=53']
Exploring Operation: 3+53=56, Resulting Numbers: [19, 56]
Generated Node #0,2,0: 85:[19, 56] Operation: 3+53=56
Exploring Operation: 53-19=34, Resulting Numbers: [3, 34]
Generated Node #0,2,1: 85:[3, 34] Operation: 53-19=34
Exploring Operation: 19+53=72, Resulting Numbers: [3, 72]
Generated Node #0,2,2: 85:[3, 72] Operation: 19+53=72
Exploring Operation: 53-3=50, Resulting Numbers: [19, 50]
Generated Node #0,2,3: 85:[19, 50] Operation: 53-3=50
Exploring Operation: 19-3=16, Resulting Numbers: [53, 16]
Generated Node #0,2,4: 85:[53, 16] Operation: 19-3=16
Moving to Node #0,2,2
Current State: 85:[3, 72], Operations: ['1+52=53', '19+53=72']
Exploring Operation: 3+72=75, Resulting Numbers: [75]
75,85 unequal: No Solution
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,85 unequal: No Solution
Exploring Operation: 3*72=216, Resulting Numbers: [216]
216,85 unequal: No Solution
Exploring Operation: 72-3=69, Resulting Numbers: [69]
69,85 unequal: No Solution
Moving to Node #0,2,1
Current State: 85:[3, 34], Operations: ['1+52=53', '53-19=34']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,85 unequal: No Solution
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,85 unequal: No Solution
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,85 unequal: No Solution
Moving to Node #0,2,0
Current State: 85:[19, 56], Operations: ['1+52=53', '3+53=56']
Exploring Operation: 19*56=1064, Resulting Numbers: [1064]
1064,85 unequal: No Solution
Exploring Operation: 56-19=37, Resulting Numbers: [37]
37,85 unequal: No Solution
Exploring Operation: 19+56=75, Resulting Numbers: [75]
75,85 unequal: No Solution
Moving to Node #0,2,4
Current State: 85:[53, 16], Operations: ['1+52=53', '19-3=16']
Exploring Operation: 53+16=69, Resulting Numbers: [69]
69,85 unequal: No Solution
Exploring Operation: 53-16=37, Resulting Numbers: [37]
37,85 unequal: No Solution
Exploring Operation: 53*16=848, Resulting Numbers: [848]
848,85 unequal: No Solution
Moving to Node #0,2,3
Current State: 85:[19, 50], Operations: ['1+52=53', '53-3=50']
Exploring Operation: 19+50=69, Resulting Numbers: [69]
69,85 unequal: No Solution
Exploring Operation: 50-19=31, Resulting Numbers: [31]
31,85 unequal: No Solution
Exploring Operation: 19*50=950, Resulting Numbers: [950]
950,85 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 |
[
88,
29,
40,
3
] | 79 | [
"88+29=117",
"117/3=39",
"40+39=79"
] | Current State: 79:[88, 29, 40, 3], Operations: []
Exploring Operation: 88+29=117, Resulting Numbers: [40, 3, 117]
Generated Node #2: [40, 3, 117] from Operation: 88+29=117
Current State: 79:[40, 3, 117], Operations: ['88+29=117']
Exploring Operation: 117/3=39, Resulting Numbers: [40, 39]
Generated Node #3: [40, 39] from Operation: 117/3=39
Current State: 79:[40, 39], Operations: ['88+29=117', '117/3=39']
Exploring Operation: 40+39=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[88, 29, 40, 3], Operations: []
Exploring Operation: 29*3=87, Resulting Numbers: [88, 40, 87]
Generated Node #0,0: 79:[88, 40, 87] Operation: 29*3=87
Exploring Operation: 88-3=85, Resulting Numbers: [29, 40, 85]
Generated Node #0,1: 79:[29, 40, 85] Operation: 88-3=85
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[88, 40, 87], Operations: ['29*3=87']
Exploring Operation: 88-40=48, Resulting Numbers: [87, 48]
Generated Node #0,0,0: 79:[87, 48] Operation: 88-40=48
Exploring Operation: 87-40=47, Resulting Numbers: [88, 47]
Generated Node #0,0,1: 79:[88, 47] Operation: 87-40=47
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 79:[87, 48], Operations: ['29*3=87', '88-40=48']
Exploring Operation: 87-48=39, Resulting Numbers: [39]
39,79 unequal: No Solution
Exploring Operation: 87+48=135, Resulting Numbers: [135]
135,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 79:[88, 47], Operations: ['29*3=87', '87-40=47']
Exploring Operation: 88+47=135, Resulting Numbers: [135]
135,79 unequal: No Solution
Exploring Operation: 88-47=41, Resulting Numbers: [41]
41,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 79:[29, 40, 85], Operations: ['88-3=85']
Exploring Operation: 85-29=56, Resulting Numbers: [40, 56]
Generated Node #0,1,0: 79:[40, 56] Operation: 85-29=56
Exploring Operation: 29+40=69, Resulting Numbers: [85, 69]
Generated Node #0,1,1: 79:[85, 69] Operation: 29+40=69
Moving to Node #0,1,1
Current State: 79:[85, 69], Operations: ['88-3=85', '29+40=69']
Exploring Operation: 85-69=16, Resulting Numbers: [16]
16,79 unequal: No Solution
Exploring Operation: 85+69=154, Resulting Numbers: [154]
154,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[40, 56], Operations: ['88-3=85', '85-29=56']
Exploring Operation: 40+56=96, Resulting Numbers: [96]
96,79 unequal: No Solution
Exploring Operation: 56-40=16, Resulting Numbers: [16]
16,79 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 |
[
82,
13,
55,
68
] | 54 | [
"82-13=69",
"55+68=123",
"123-69=54"
] | Current State: 54:[82, 13, 55, 68], Operations: []
Exploring Operation: 82-13=69, Resulting Numbers: [55, 68, 69]
Generated Node #2: [55, 68, 69] from Operation: 82-13=69
Current State: 54:[55, 68, 69], Operations: ['82-13=69']
Exploring Operation: 55+68=123, Resulting Numbers: [69, 123]
Generated Node #3: [69, 123] from Operation: 55+68=123
Current State: 54:[69, 123], Operations: ['82-13=69', '55+68=123']
Exploring Operation: 123-69=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[82, 13, 55, 68], Operations: []
Exploring Operation: 68-13=55, Resulting Numbers: [82, 55, 55]
Generated Node #0,0: 54:[82, 55, 55] Operation: 68-13=55
Exploring Operation: 68-55=13, Resulting Numbers: [82, 13, 13]
Generated Node #0,1: 54:[82, 13, 13] Operation: 68-55=13
Exploring Operation: 82-13=69, Resulting Numbers: [55, 68, 69]
Generated Node #0,2: 54:[55, 68, 69] Operation: 82-13=69
Exploring Operation: 82-55=27, Resulting Numbers: [13, 68, 27]
Generated Node #0,3: 54:[13, 68, 27] Operation: 82-55=27
Exploring Operation: 82-68=14, Resulting Numbers: [13, 55, 14]
Generated Node #0,4: 54:[13, 55, 14] Operation: 82-68=14
Moving to Node #0,4
Current State: 54:[13, 55, 14], Operations: ['82-68=14']
Exploring Operation: 55-13=42, Resulting Numbers: [14, 42]
Generated Node #0,4,0: 54:[14, 42] Operation: 55-13=42
Exploring Operation: 13+55=68, Resulting Numbers: [14, 68]
Generated Node #0,4,1: 54:[14, 68] Operation: 13+55=68
Exploring Operation: 55-14=41, Resulting Numbers: [13, 41]
Generated Node #0,4,2: 54:[13, 41] Operation: 55-14=41
Exploring Operation: 13+14=27, Resulting Numbers: [55, 27]
Generated Node #0,4,3: 54:[55, 27] Operation: 13+14=27
Exploring Operation: 14-13=1, Resulting Numbers: [55, 1]
Generated Node #0,4,4: 54:[55, 1] Operation: 14-13=1
Moving to Node #0,3
Current State: 54:[13, 68, 27], Operations: ['82-55=27']
Exploring Operation: 68-13=55, Resulting Numbers: [27, 55]
Generated Node #0,3,0: 54:[27, 55] Operation: 68-13=55
Exploring Operation: 27-13=14, Resulting Numbers: [68, 14]
Generated Node #0,3,1: 54:[68, 14] Operation: 27-13=14
Exploring Operation: 68-27=41, Resulting Numbers: [13, 41]
Generated Node #0,3,2: 54:[13, 41] Operation: 68-27=41
Exploring Operation: 13+27=40, Resulting Numbers: [68, 40]
Generated Node #0,3,3: 54:[68, 40] Operation: 13+27=40
Exploring Operation: 13+68=81, Resulting Numbers: [27, 81]
Generated Node #0,3,4: 54:[27, 81] Operation: 13+68=81
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 54:[27, 55], Operations: ['82-55=27', '68-13=55']
Exploring Operation: 27+55=82, Resulting Numbers: [82]
82,54 unequal: No Solution
Exploring Operation: 55-27=28, Resulting Numbers: [28]
28,54 unequal: No Solution
Exploring Operation: 27*55=1485, Resulting Numbers: [1485]
1485,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 54:[13, 41], Operations: ['82-55=27', '68-27=41']
Exploring Operation: 13*41=533, Resulting Numbers: [533]
533,54 unequal: No Solution
Exploring Operation: 13+41=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[82, 13, 55, 68], Operations: []
Exploring Operation: 82-55=27, Resulting Numbers: [13, 68, 27]
Generated Node #0,3: 54:[13, 68, 27] Operation: 82-55=27
Moving to Node #0,3
Current State: 54:[13, 68, 27], Operations: ['82-55=27']
Exploring Operation: 68-27=41, Resulting Numbers: [13, 41]
Generated Node #0,3,2: 54:[13, 41] Operation: 68-27=41
Moving to Node #0,3,2
Current State: 54:[13, 41], Operations: ['82-55=27', '68-27=41']
Exploring Operation: 13+41=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_5 | mult_heuristic |
[
5,
60,
75,
96
] | 86 | [
"5+60=65",
"96-75=21",
"65+21=86"
] | Current State: 86:[5, 60, 75, 96], Operations: []
Exploring Operation: 5+60=65, Resulting Numbers: [75, 96, 65]
Generated Node #2: [75, 96, 65] from Operation: 5+60=65
Current State: 86:[75, 96, 65], Operations: ['5+60=65']
Exploring Operation: 96-75=21, Resulting Numbers: [65, 21]
Generated Node #3: [65, 21] from Operation: 96-75=21
Current State: 86:[65, 21], Operations: ['5+60=65', '96-75=21']
Exploring Operation: 65+21=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[5, 60, 75, 96], Operations: []
Exploring Operation: 60-5=55, Resulting Numbers: [75, 96, 55]
Generated Node #0,0: 86:[75, 96, 55] Operation: 60-5=55
Exploring Operation: 75-60=15, Resulting Numbers: [5, 96, 15]
Generated Node #0,1: 86:[5, 96, 15] Operation: 75-60=15
Exploring Operation: 96-60=36, Resulting Numbers: [5, 75, 36]
Generated Node #0,2: 86:[5, 75, 36] Operation: 96-60=36
Exploring Operation: 60/5=12, Resulting Numbers: [75, 96, 12]
Generated Node #0,3: 86:[75, 96, 12] Operation: 60/5=12
Start Sub Search at level 1: Moving to Node #0,2
Current State: 86:[5, 75, 36], Operations: ['96-60=36']
Exploring Operation: 75/5=15, Resulting Numbers: [36, 15]
Generated Node #0,2,0: 86:[36, 15] Operation: 75/5=15
Exploring Operation: 5+36=41, Resulting Numbers: [75, 41]
Generated Node #0,2,1: 86:[75, 41] Operation: 5+36=41
Exploring Operation: 5+75=80, Resulting Numbers: [36, 80]
Generated Node #0,2,2: 86:[36, 80] Operation: 5+75=80
Exploring Operation: 75-36=39, Resulting Numbers: [5, 39]
Generated Node #0,2,3: 86:[5, 39] Operation: 75-36=39
Moving to Node #0,2,3
Current State: 86:[5, 39], Operations: ['96-60=36', '75-36=39']
Exploring Operation: 5+39=44, Resulting Numbers: [44]
44,86 unequal: No Solution
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,86 unequal: No Solution
Exploring Operation: 5*39=195, Resulting Numbers: [195]
195,86 unequal: No Solution
Moving to Node #0,2,2
Current State: 86:[36, 80], Operations: ['96-60=36', '5+75=80']
Exploring Operation: 36*80=2880, Resulting Numbers: [2880]
2880,86 unequal: No Solution
Exploring Operation: 80-36=44, Resulting Numbers: [44]
44,86 unequal: No Solution
Exploring Operation: 36+80=116, Resulting Numbers: [116]
116,86 unequal: No Solution
Moving to Node #0,2,1
Current State: 86:[75, 41], Operations: ['96-60=36', '5+36=41']
Exploring Operation: 75+41=116, Resulting Numbers: [116]
116,86 unequal: No Solution
Exploring Operation: 75-41=34, Resulting Numbers: [34]
34,86 unequal: No Solution
Exploring Operation: 75*41=3075, Resulting Numbers: [3075]
3075,86 unequal: No Solution
Moving to Node #0,2,0
Current State: 86:[36, 15], Operations: ['96-60=36', '75/5=15']
Exploring Operation: 36-15=21, Resulting Numbers: [21]
21,86 unequal: No Solution
Exploring Operation: 36*15=540, Resulting Numbers: [540]
540,86 unequal: No Solution
Exploring Operation: 36+15=51, Resulting Numbers: [51]
51,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[5, 96, 15], Operations: ['75-60=15']
Exploring Operation: 96-5=91, Resulting Numbers: [15, 91]
Generated Node #0,1,0: 86:[15, 91] Operation: 96-5=91
Exploring Operation: 15-5=10, Resulting Numbers: [96, 10]
Generated Node #0,1,1: 86:[96, 10] Operation: 15-5=10
Exploring Operation: 15/5=3, Resulting Numbers: [96, 3]
Generated Node #0,1,2: 86:[96, 3] Operation: 15/5=3
Exploring Operation: 96-15=81, Resulting Numbers: [5, 81]
Generated Node #0,1,3: 86:[5, 81] Operation: 96-15=81
Moving to Node #0,1,3
Current State: 86:[5, 81], Operations: ['75-60=15', '96-15=81']
Exploring Operation: 5*81=405, Resulting Numbers: [405]
405,86 unequal: No Solution
Exploring Operation: 5+81=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[5, 60, 75, 96], Operations: []
Exploring Operation: 75-60=15, Resulting Numbers: [5, 96, 15]
Generated Node #0,1: 86:[5, 96, 15] Operation: 75-60=15
Moving to Node #0,1
Current State: 86:[5, 96, 15], Operations: ['75-60=15']
Exploring Operation: 96-15=81, Resulting Numbers: [5, 81]
Generated Node #0,1,3: 86:[5, 81] Operation: 96-15=81
Moving to Node #0,1,3
Current State: 86:[5, 81], Operations: ['75-60=15', '96-15=81']
Exploring Operation: 5+81=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_4 | sum_heuristic |
[
96,
90,
44,
45
] | 92 | [
"96*45=4320",
"4320/90=48",
"44+48=92"
] | Current State: 92:[96, 90, 44, 45], Operations: []
Exploring Operation: 96*45=4320, Resulting Numbers: [90, 44, 4320]
Generated Node #2: [90, 44, 4320] from Operation: 96*45=4320
Current State: 92:[90, 44, 4320], Operations: ['96*45=4320']
Exploring Operation: 4320/90=48, Resulting Numbers: [44, 48]
Generated Node #3: [44, 48] from Operation: 4320/90=48
Current State: 92:[44, 48], Operations: ['96*45=4320', '4320/90=48']
Exploring Operation: 44+48=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[96, 90, 44, 45], Operations: []
Exploring Operation: 96-90=6, Resulting Numbers: [44, 45, 6]
Generated Node #0,0: 92:[44, 45, 6] Operation: 96-90=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[44, 45, 6], Operations: ['96-90=6']
Exploring Operation: 45-44=1, Resulting Numbers: [6, 1]
Generated Node #0,0,0: 92:[6, 1] Operation: 45-44=1
Moving to Node #0,0,0
Current State: 92:[6, 1], Operations: ['96-90=6', '45-44=1']
Exploring Operation: 6-1=5, Resulting Numbers: [5]
5,92 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 |
[
4,
39,
67,
76
] | 47 | [
"76/4=19",
"67-39=28",
"19+28=47"
] | Current State: 47:[4, 39, 67, 76], Operations: []
Exploring Operation: 76/4=19, Resulting Numbers: [39, 67, 19]
Generated Node #2: [39, 67, 19] from Operation: 76/4=19
Current State: 47:[39, 67, 19], Operations: ['76/4=19']
Exploring Operation: 67-39=28, Resulting Numbers: [19, 28]
Generated Node #3: [19, 28] from Operation: 67-39=28
Current State: 47:[19, 28], Operations: ['76/4=19', '67-39=28']
Exploring Operation: 19+28=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[4, 39, 67, 76], Operations: []
Exploring Operation: 4+39=43, Resulting Numbers: [67, 76, 43]
Generated Node #0,0: 47:[67, 76, 43] Operation: 4+39=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[67, 76, 43], Operations: ['4+39=43']
Exploring Operation: 76-43=33, Resulting Numbers: [67, 33]
Generated Node #0,0,0: 47:[67, 33] Operation: 76-43=33
Moving to Node #0,0,0
Current State: 47:[67, 33], Operations: ['4+39=43', '76-43=33']
Exploring Operation: 67-33=34, Resulting Numbers: [34]
34,47 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 |
[
19,
51,
46,
14
] | 13 | [
"46*14=644",
"19+644=663",
"663/51=13"
] | Current State: 13:[19, 51, 46, 14], Operations: []
Exploring Operation: 46*14=644, Resulting Numbers: [19, 51, 644]
Generated Node #2: [19, 51, 644] from Operation: 46*14=644
Current State: 13:[19, 51, 644], Operations: ['46*14=644']
Exploring Operation: 19+644=663, Resulting Numbers: [51, 663]
Generated Node #3: [51, 663] from Operation: 19+644=663
Current State: 13:[51, 663], Operations: ['46*14=644', '19+644=663']
Exploring Operation: 663/51=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[19, 51, 46, 14], Operations: []
Exploring Operation: 51-46=5, Resulting Numbers: [19, 14, 5]
Generated Node #0,0: 13:[19, 14, 5] Operation: 51-46=5
Moving to Node #0,0
Current State: 13:[19, 14, 5], Operations: ['51-46=5']
Exploring Operation: 19-5=14, Resulting Numbers: [14, 14]
Generated Node #0,0,0: 13:[14, 14] Operation: 19-5=14
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 13:[14, 14], Operations: ['51-46=5', '19-5=14']
Exploring Operation: 14/14=1, Resulting Numbers: [1]
1,13 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 |
[
2,
68,
3,
40
] | 17 | [
"68-40=28",
"28/2=14",
"3+14=17"
] | Current State: 17:[2, 68, 3, 40], Operations: []
Exploring Operation: 68-40=28, Resulting Numbers: [2, 3, 28]
Generated Node #2: [2, 3, 28] from Operation: 68-40=28
Current State: 17:[2, 3, 28], Operations: ['68-40=28']
Exploring Operation: 28/2=14, Resulting Numbers: [3, 14]
Generated Node #3: [3, 14] from Operation: 28/2=14
Current State: 17:[3, 14], Operations: ['68-40=28', '28/2=14']
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[2, 68, 3, 40], Operations: []
Exploring Operation: 68/2=34, Resulting Numbers: [3, 40, 34]
Generated Node #0,0: 17:[3, 40, 34] Operation: 68/2=34
Exploring Operation: 2*3=6, Resulting Numbers: [68, 40, 6]
Generated Node #0,1: 17:[68, 40, 6] Operation: 2*3=6
Exploring Operation: 68-40=28, Resulting Numbers: [2, 3, 28]
Generated Node #0,2: 17:[2, 3, 28] Operation: 68-40=28
Exploring Operation: 40/2=20, Resulting Numbers: [68, 3, 20]
Generated Node #0,3: 17:[68, 3, 20] Operation: 40/2=20
Moving to Node #0,2
Current State: 17:[2, 3, 28], Operations: ['68-40=28']
Exploring Operation: 28-2=26, Resulting Numbers: [3, 26]
Generated Node #0,2,0: 17:[3, 26] Operation: 28-2=26
Exploring Operation: 28/2=14, Resulting Numbers: [3, 14]
Generated Node #0,2,1: 17:[3, 14] Operation: 28/2=14
Exploring Operation: 2*3=6, Resulting Numbers: [28, 6]
Generated Node #0,2,2: 17:[28, 6] Operation: 2*3=6
Exploring Operation: 2+3=5, Resulting Numbers: [28, 5]
Generated Node #0,2,3: 17:[28, 5] Operation: 2+3=5
Moving to Node #0,0
Current State: 17:[3, 40, 34], Operations: ['68/2=34']
Exploring Operation: 40-34=6, Resulting Numbers: [3, 6]
Generated Node #0,0,0: 17:[3, 6] Operation: 40-34=6
Exploring Operation: 34-3=31, Resulting Numbers: [40, 31]
Generated Node #0,0,1: 17:[40, 31] Operation: 34-3=31
Exploring Operation: 40-3=37, Resulting Numbers: [34, 37]
Generated Node #0,0,2: 17:[34, 37] Operation: 40-3=37
Exploring Operation: 3+40=43, Resulting Numbers: [34, 43]
Generated Node #0,0,3: 17:[34, 43] Operation: 3+40=43
Moving to Node #0,3
Current State: 17:[68, 3, 20], Operations: ['40/2=20']
Exploring Operation: 68+3=71, Resulting Numbers: [20, 71]
Generated Node #0,3,0: 17:[20, 71] Operation: 68+3=71
Exploring Operation: 68-3=65, Resulting Numbers: [20, 65]
Generated Node #0,3,1: 17:[20, 65] Operation: 68-3=65
Exploring Operation: 20-3=17, Resulting Numbers: [68, 17]
Generated Node #0,3,2: 17:[68, 17] Operation: 20-3=17
Exploring Operation: 68-20=48, Resulting Numbers: [3, 48]
Generated Node #0,3,3: 17:[3, 48] Operation: 68-20=48
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 17:[3, 48], Operations: ['40/2=20', '68-20=48']
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,17 unequal: No Solution
Exploring Operation: 3*48=144, Resulting Numbers: [144]
144,17 unequal: No Solution
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,17 unequal: No Solution
No 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: 17:[20, 65], Operations: ['40/2=20', '68-3=65']
Exploring Operation: 65-20=45, Resulting Numbers: [45]
45,17 unequal: No Solution
Exploring Operation: 20*65=1300, Resulting Numbers: [1300]
1300,17 unequal: No Solution
Exploring Operation: 20+65=85, Resulting Numbers: [85]
85,17 unequal: No Solution
No 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: 17:[68, 17], Operations: ['40/2=20', '20-3=17']
Exploring Operation: 68-17=51, Resulting Numbers: [51]
51,17 unequal: No Solution
Exploring Operation: 68+17=85, Resulting Numbers: [85]
85,17 unequal: No Solution
Exploring Operation: 68/17=4, Resulting Numbers: [4]
4,17 unequal: No Solution
Exploring Operation: 68*17=1156, Resulting Numbers: [1156]
1156,17 unequal: No Solution
No 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: 17:[20, 71], Operations: ['40/2=20', '68+3=71']
Exploring Operation: 20+71=91, Resulting Numbers: [91]
91,17 unequal: No Solution
Exploring Operation: 20*71=1420, Resulting Numbers: [1420]
1420,17 unequal: No Solution
Exploring Operation: 71-20=51, Resulting Numbers: [51]
51,17 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: 17:[68, 40, 6], Operations: ['2*3=6']
Exploring Operation: 68+6=74, Resulting Numbers: [40, 74]
Generated Node #0,1,0: 17:[40, 74] Operation: 68+6=74
Exploring Operation: 40-6=34, Resulting Numbers: [68, 34]
Generated Node #0,1,1: 17:[68, 34] Operation: 40-6=34
Exploring Operation: 68-6=62, Resulting Numbers: [40, 62]
Generated Node #0,1,2: 17:[40, 62] Operation: 68-6=62
Exploring Operation: 68-40=28, Resulting Numbers: [6, 28]
Generated Node #0,1,3: 17:[6, 28] Operation: 68-40=28
Moving to Node #0,2,1
Current State: 17:[3, 14], Operations: ['68-40=28', '28/2=14']
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,17 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,17 unequal: No Solution
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[2, 68, 3, 40], Operations: []
Exploring Operation: 68-40=28, Resulting Numbers: [2, 3, 28]
Generated Node #0,2: 17:[2, 3, 28] Operation: 68-40=28
Moving to Node #0,2
Current State: 17:[2, 3, 28], Operations: ['68-40=28']
Exploring Operation: 28/2=14, Resulting Numbers: [3, 14]
Generated Node #0,2,1: 17:[3, 14] Operation: 28/2=14
Moving to Node #0,2,1
Current State: 17:[3, 14], Operations: ['68-40=28', '28/2=14']
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 0.96441 | hs_4 | sum_heuristic |
[
65,
28,
51,
14
] | 79 | [
"65*28=1820",
"1820/14=130",
"130-51=79"
] | Current State: 79:[65, 28, 51, 14], Operations: []
Exploring Operation: 65*28=1820, Resulting Numbers: [51, 14, 1820]
Generated Node #2: [51, 14, 1820] from Operation: 65*28=1820
Current State: 79:[51, 14, 1820], Operations: ['65*28=1820']
Exploring Operation: 1820/14=130, Resulting Numbers: [51, 130]
Generated Node #3: [51, 130] from Operation: 1820/14=130
Current State: 79:[51, 130], Operations: ['65*28=1820', '1820/14=130']
Exploring Operation: 130-51=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[65, 28, 51, 14], Operations: []
Exploring Operation: 51+14=65, Resulting Numbers: [65, 28, 65]
Generated Node #0,0: 79:[65, 28, 65] Operation: 51+14=65
Exploring Operation: 28+14=42, Resulting Numbers: [65, 51, 42]
Generated Node #0,1: 79:[65, 51, 42] Operation: 28+14=42
Exploring Operation: 28+51=79, Resulting Numbers: [65, 14, 79]
Generated Node #0,2: 79:[65, 14, 79] Operation: 28+51=79
Exploring Operation: 65+14=79, Resulting Numbers: [28, 51, 79]
Generated Node #0,3: 79:[28, 51, 79] Operation: 65+14=79
Moving to Node #0,0
Current State: 79:[65, 28, 65], Operations: ['51+14=65']
Exploring Operation: 28+65=93, Resulting Numbers: [65, 93]
Generated Node #0,0,0: 79:[65, 93] Operation: 28+65=93
Exploring Operation: 65-28=37, Resulting Numbers: [65, 37]
Generated Node #0,0,1: 79:[65, 37] Operation: 65-28=37
Exploring Operation: 65-28=37, Resulting Numbers: [65, 37]
Generated Node #0,0,2: 79:[65, 37] Operation: 65-28=37
Exploring Operation: 65+28=93, Resulting Numbers: [65, 93]
Generated Node #0,0,3: 79:[65, 93] Operation: 65+28=93
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 79:[65, 93], Operations: ['51+14=65', '28+65=93']
Exploring Operation: 65*93=6045, Resulting Numbers: [6045]
6045,79 unequal: No Solution
Exploring Operation: 93-65=28, Resulting Numbers: [28]
28,79 unequal: No Solution
Exploring Operation: 65+93=158, Resulting Numbers: [158]
158,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 79:[65, 93], Operations: ['51+14=65', '65+28=93']
Exploring Operation: 65+93=158, Resulting Numbers: [158]
158,79 unequal: No Solution
Exploring Operation: 93-65=28, Resulting Numbers: [28]
28,79 unequal: No Solution
Exploring Operation: 65*93=6045, Resulting Numbers: [6045]
6045,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 79:[65, 37], Operations: ['51+14=65', '65-28=37']
Exploring Operation: 65-37=28, Resulting Numbers: [28]
28,79 unequal: No Solution
Exploring Operation: 65*37=2405, Resulting Numbers: [2405]
2405,79 unequal: No Solution
Exploring Operation: 65+37=102, Resulting Numbers: [102]
102,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 79:[65, 37], Operations: ['51+14=65', '65-28=37']
Exploring Operation: 65-37=28, Resulting Numbers: [28]
28,79 unequal: No Solution
Exploring Operation: 65*37=2405, Resulting Numbers: [2405]
2405,79 unequal: No Solution
Exploring Operation: 65+37=102, Resulting Numbers: [102]
102,79 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: 79:[65, 14, 79], Operations: ['28+51=79']
Exploring Operation: 65+14=79, Resulting Numbers: [79, 79]
Generated Node #0,2,0: 79:[79, 79] Operation: 65+14=79
Exploring Operation: 14+79=93, Resulting Numbers: [65, 93]
Generated Node #0,2,1: 79:[65, 93] Operation: 14+79=93
Exploring Operation: 79-14=65, Resulting Numbers: [65, 65]
Generated Node #0,2,2: 79:[65, 65] Operation: 79-14=65
Exploring Operation: 65-14=51, Resulting Numbers: [79, 51]
Generated Node #0,2,3: 79:[79, 51] Operation: 65-14=51
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 79:[79, 79], Operations: ['28+51=79', '65+14=79']
Exploring Operation: 79*79=6241, Resulting Numbers: [6241]
6241,79 unequal: No Solution
Exploring Operation: 79+79=158, Resulting Numbers: [158]
158,79 unequal: No Solution
Exploring Operation: 79/79=1, Resulting Numbers: [1]
1,79 unequal: No Solution
Exploring Operation: 79-79=0, Resulting Numbers: [0]
0,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 79:[65, 93], Operations: ['28+51=79', '14+79=93']
Exploring Operation: 65*93=6045, Resulting Numbers: [6045]
6045,79 unequal: No Solution
Exploring Operation: 65+93=158, Resulting Numbers: [158]
158,79 unequal: No Solution
Exploring Operation: 93-65=28, Resulting Numbers: [28]
28,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 79:[65, 65], Operations: ['28+51=79', '79-14=65']
Exploring Operation: 65/65=1, Resulting Numbers: [1]
1,79 unequal: No Solution
Exploring Operation: 65-65=0, Resulting Numbers: [0]
0,79 unequal: No Solution
Exploring Operation: 65+65=130, Resulting Numbers: [130]
130,79 unequal: No Solution
Exploring Operation: 65*65=4225, Resulting Numbers: [4225]
4225,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 79:[79, 51], Operations: ['28+51=79', '65-14=51']
Exploring Operation: 79+51=130, Resulting Numbers: [130]
130,79 unequal: No Solution
Exploring Operation: 79*51=4029, Resulting Numbers: [4029]
4029,79 unequal: No Solution
Exploring Operation: 79-51=28, Resulting Numbers: [28]
28,79 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: 79:[65, 51, 42], Operations: ['28+14=42']
Exploring Operation: 65+42=107, Resulting Numbers: [51, 107]
Generated Node #0,1,0: 79:[51, 107] Operation: 65+42=107
Exploring Operation: 65+51=116, Resulting Numbers: [42, 116]
Generated Node #0,1,1: 79:[42, 116] Operation: 65+51=116
Exploring Operation: 51+42=93, Resulting Numbers: [65, 93]
Generated Node #0,1,2: 79:[65, 93] Operation: 51+42=93
Exploring Operation: 65-42=23, Resulting Numbers: [51, 23]
Generated Node #0,1,3: 79:[51, 23] Operation: 65-42=23
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 79:[65, 93], Operations: ['28+14=42', '51+42=93']
Exploring Operation: 93-65=28, Resulting Numbers: [28]
28,79 unequal: No Solution
Exploring Operation: 65*93=6045, Resulting Numbers: [6045]
6045,79 unequal: No Solution
Exploring Operation: 65+93=158, Resulting Numbers: [158]
158,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 79:[51, 107], Operations: ['28+14=42', '65+42=107']
Exploring Operation: 107-51=56, Resulting Numbers: [56]
56,79 unequal: No Solution
Exploring Operation: 51*107=5457, Resulting Numbers: [5457]
5457,79 unequal: No Solution
Exploring Operation: 51+107=158, Resulting Numbers: [158]
158,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 79:[42, 116], Operations: ['28+14=42', '65+51=116']
Exploring Operation: 42*116=4872, Resulting Numbers: [4872]
4872,79 unequal: No Solution
Exploring Operation: 42+116=158, Resulting Numbers: [158]
158,79 unequal: No Solution
Exploring Operation: 116-42=74, Resulting Numbers: [74]
74,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 79:[51, 23], Operations: ['28+14=42', '65-42=23']
Exploring Operation: 51+23=74, Resulting Numbers: [74]
74,79 unequal: No Solution
Exploring Operation: 51*23=1173, Resulting Numbers: [1173]
1173,79 unequal: No Solution
Exploring Operation: 51-23=28, Resulting Numbers: [28]
28,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 79:[28, 51, 79], Operations: ['65+14=79']
Exploring Operation: 28+79=107, Resulting Numbers: [51, 107]
Generated Node #0,3,0: 79:[51, 107] Operation: 28+79=107
Exploring Operation: 79-28=51, Resulting Numbers: [51, 51]
Generated Node #0,3,1: 79:[51, 51] Operation: 79-28=51
Exploring Operation: 28+51=79, Resulting Numbers: [79, 79]
Generated Node #0,3,2: 79:[79, 79] Operation: 28+51=79
Exploring Operation: 51-28=23, Resulting Numbers: [79, 23]
Generated Node #0,3,3: 79:[79, 23] Operation: 51-28=23
Moving to Node #0,3,2
Current State: 79:[79, 79], Operations: ['65+14=79', '28+51=79']
Exploring Operation: 79-79=0, Resulting Numbers: [0]
0,79 unequal: No Solution
Exploring Operation: 79+79=158, Resulting Numbers: [158]
158,79 unequal: No Solution
Exploring Operation: 79/79=1, Resulting Numbers: [1]
1,79 unequal: No Solution
Exploring Operation: 79*79=6241, Resulting Numbers: [6241]
6241,79 unequal: No Solution
Moving to Node #0,3,1
Current State: 79:[51, 51], Operations: ['65+14=79', '79-28=51']
Exploring Operation: 51*51=2601, Resulting Numbers: [2601]
2601,79 unequal: No Solution
Exploring Operation: 51/51=1, Resulting Numbers: [1]
1,79 unequal: No Solution
Exploring Operation: 51-51=0, Resulting Numbers: [0]
0,79 unequal: No Solution
Exploring Operation: 51+51=102, Resulting Numbers: [102]
102,79 unequal: No Solution
Moving to Node #0,3,0
Current State: 79:[51, 107], Operations: ['65+14=79', '28+79=107']
Exploring Operation: 51*107=5457, Resulting Numbers: [5457]
5457,79 unequal: No Solution
Exploring Operation: 107-51=56, Resulting Numbers: [56]
56,79 unequal: No Solution
Exploring Operation: 51+107=158, Resulting Numbers: [158]
158,79 unequal: No Solution
Moving to Node #0,3,3
Current State: 79:[79, 23], Operations: ['65+14=79', '51-28=23']
Exploring Operation: 79*23=1817, Resulting Numbers: [1817]
1817,79 unequal: No Solution
Exploring Operation: 79-23=56, Resulting Numbers: [56]
56,79 unequal: No Solution
Exploring Operation: 79+23=102, Resulting Numbers: [102]
102,79 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
31,
30,
39,
63
] | 42 | [
"30+63=93",
"93/31=3",
"39+3=42"
] | Current State: 42:[31, 30, 39, 63], Operations: []
Exploring Operation: 30+63=93, Resulting Numbers: [31, 39, 93]
Generated Node #2: [31, 39, 93] from Operation: 30+63=93
Current State: 42:[31, 39, 93], Operations: ['30+63=93']
Exploring Operation: 93/31=3, Resulting Numbers: [39, 3]
Generated Node #3: [39, 3] from Operation: 93/31=3
Current State: 42:[39, 3], Operations: ['30+63=93', '93/31=3']
Exploring Operation: 39+3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[31, 30, 39, 63], Operations: []
Exploring Operation: 63-31=32, Resulting Numbers: [30, 39, 32]
Generated Node #0,0: 42:[30, 39, 32] Operation: 63-31=32
Exploring Operation: 63-30=33, Resulting Numbers: [31, 39, 33]
Generated Node #0,1: 42:[31, 39, 33] Operation: 63-30=33
Exploring Operation: 31-30=1, Resulting Numbers: [39, 63, 1]
Generated Node #0,2: 42:[39, 63, 1] Operation: 31-30=1
Exploring Operation: 63-39=24, Resulting Numbers: [31, 30, 24]
Generated Node #0,3: 42:[31, 30, 24] Operation: 63-39=24
Moving to Node #0,0
Current State: 42:[30, 39, 32], Operations: ['63-31=32']
Exploring Operation: 32-30=2, Resulting Numbers: [39, 2]
Generated Node #0,0,0: 42:[39, 2] Operation: 32-30=2
Exploring Operation: 39-30=9, Resulting Numbers: [32, 9]
Generated Node #0,0,1: 42:[32, 9] Operation: 39-30=9
Exploring Operation: 30+32=62, Resulting Numbers: [39, 62]
Generated Node #0,0,2: 42:[39, 62] Operation: 30+32=62
Exploring Operation: 39-32=7, Resulting Numbers: [30, 7]
Generated Node #0,0,3: 42:[30, 7] Operation: 39-32=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 42:[39, 2], Operations: ['63-31=32', '32-30=2']
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,42 unequal: No Solution
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,42 unequal: No Solution
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 42:[30, 7], Operations: ['63-31=32', '39-32=7']
Exploring Operation: 30*7=210, Resulting Numbers: [210]
210,42 unequal: No Solution
Exploring Operation: 30-7=23, Resulting Numbers: [23]
23,42 unequal: No Solution
Exploring Operation: 30+7=37, Resulting Numbers: [37]
37,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 42:[32, 9], Operations: ['63-31=32', '39-30=9']
Exploring Operation: 32*9=288, Resulting Numbers: [288]
288,42 unequal: No Solution
Exploring Operation: 32-9=23, Resulting Numbers: [23]
23,42 unequal: No Solution
Exploring Operation: 32+9=41, Resulting Numbers: [41]
41,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 42:[39, 62], Operations: ['63-31=32', '30+32=62']
Exploring Operation: 39+62=101, Resulting Numbers: [101]
101,42 unequal: No Solution
Exploring Operation: 39*62=2418, Resulting Numbers: [2418]
2418,42 unequal: No Solution
Exploring Operation: 62-39=23, Resulting Numbers: [23]
23,42 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: 42:[31, 30, 24], Operations: ['63-39=24']
Exploring Operation: 31-30=1, Resulting Numbers: [24, 1]
Generated Node #0,3,0: 42:[24, 1] Operation: 31-30=1
Exploring Operation: 31+30=61, Resulting Numbers: [24, 61]
Generated Node #0,3,1: 42:[24, 61] Operation: 31+30=61
Exploring Operation: 31-24=7, Resulting Numbers: [30, 7]
Generated Node #0,3,2: 42:[30, 7] Operation: 31-24=7
Exploring Operation: 30-24=6, Resulting Numbers: [31, 6]
Generated Node #0,3,3: 42:[31, 6] Operation: 30-24=6
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 42:[24, 1], Operations: ['63-39=24', '31-30=1']
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,42 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,42 unequal: No Solution
Exploring Operation: 24*1=24, Resulting Numbers: [24]
24,42 unequal: No Solution
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,42 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 #0,3,2
Current State: 42:[30, 7], Operations: ['63-39=24', '31-24=7']
Exploring Operation: 30*7=210, Resulting Numbers: [210]
210,42 unequal: No Solution
Exploring Operation: 30-7=23, Resulting Numbers: [23]
23,42 unequal: No Solution
Exploring Operation: 30+7=37, Resulting Numbers: [37]
37,42 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 #0,3,3
Current State: 42:[31, 6], Operations: ['63-39=24', '30-24=6']
Exploring Operation: 31+6=37, Resulting Numbers: [37]
37,42 unequal: No Solution
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,42 unequal: No Solution
Exploring Operation: 31*6=186, Resulting Numbers: [186]
186,42 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 #0,3,1
Current State: 42:[24, 61], Operations: ['63-39=24', '31+30=61']
Exploring Operation: 24*61=1464, Resulting Numbers: [1464]
1464,42 unequal: No Solution
Exploring Operation: 61-24=37, Resulting Numbers: [37]
37,42 unequal: No Solution
Exploring Operation: 24+61=85, Resulting Numbers: [85]
85,42 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: 42:[31, 39, 33], Operations: ['63-30=33']
Exploring Operation: 39-31=8, Resulting Numbers: [33, 8]
Generated Node #0,1,0: 42:[33, 8] Operation: 39-31=8
Exploring Operation: 31+33=64, Resulting Numbers: [39, 64]
Generated Node #0,1,1: 42:[39, 64] Operation: 31+33=64
Exploring Operation: 33-31=2, Resulting Numbers: [39, 2]
Generated Node #0,1,2: 42:[39, 2] Operation: 33-31=2
Exploring Operation: 39-33=6, Resulting Numbers: [31, 6]
Generated Node #0,1,3: 42:[31, 6] Operation: 39-33=6
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 42:[39, 2], Operations: ['63-30=33', '33-31=2']
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,42 unequal: No Solution
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,42 unequal: No Solution
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,42 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:[33, 8], Operations: ['63-30=33', '39-31=8']
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,42 unequal: No Solution
Exploring Operation: 33+8=41, Resulting Numbers: [41]
41,42 unequal: No Solution
Exploring Operation: 33*8=264, Resulting Numbers: [264]
264,42 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:[31, 6], Operations: ['63-30=33', '39-33=6']
Exploring Operation: 31*6=186, Resulting Numbers: [186]
186,42 unequal: No Solution
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,42 unequal: No Solution
Exploring Operation: 31+6=37, Resulting Numbers: [37]
37,42 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:[39, 64], Operations: ['63-30=33', '31+33=64']
Exploring Operation: 39+64=103, Resulting Numbers: [103]
103,42 unequal: No Solution
Exploring Operation: 64-39=25, Resulting Numbers: [25]
25,42 unequal: No Solution
Exploring Operation: 39*64=2496, Resulting Numbers: [2496]
2496,42 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:[39, 63, 1], Operations: ['31-30=1']
Exploring Operation: 39*1=39, Resulting Numbers: [63, 39]
Generated Node #0,2,0: 42:[63, 39] Operation: 39*1=39
Exploring Operation: 39+1=40, Resulting Numbers: [63, 40]
Generated Node #0,2,1: 42:[63, 40] Operation: 39+1=40
Exploring Operation: 63-39=24, Resulting Numbers: [1, 24]
Generated Node #0,2,2: 42:[1, 24] Operation: 63-39=24
Exploring Operation: 63-1=62, Resulting Numbers: [39, 62]
Generated Node #0,2,3: 42:[39, 62] Operation: 63-1=62
Moving to Node #0,2,2
Current State: 42:[1, 24], Operations: ['31-30=1', '63-39=24']
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,42 unequal: No Solution
Exploring Operation: 1*24=24, Resulting Numbers: [24]
24,42 unequal: No Solution
Exploring Operation: 1+24=25, Resulting Numbers: [25]
25,42 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,42 unequal: No Solution
Moving to Node #0,2,3
Current State: 42:[39, 62], Operations: ['31-30=1', '63-1=62']
Exploring Operation: 62-39=23, Resulting Numbers: [23]
23,42 unequal: No Solution
Exploring Operation: 39+62=101, Resulting Numbers: [101]
101,42 unequal: No Solution
Exploring Operation: 39*62=2418, Resulting Numbers: [2418]
2418,42 unequal: No Solution
Moving to Node #0,2,1
Current State: 42:[63, 40], Operations: ['31-30=1', '39+1=40']
Exploring Operation: 63*40=2520, Resulting Numbers: [2520]
2520,42 unequal: No Solution
Exploring Operation: 63-40=23, Resulting Numbers: [23]
23,42 unequal: No Solution
Exploring Operation: 63+40=103, Resulting Numbers: [103]
103,42 unequal: No Solution
Moving to Node #0,2,0
Current State: 42:[63, 39], Operations: ['31-30=1', '39*1=39']
Exploring Operation: 63+39=102, Resulting Numbers: [102]
102,42 unequal: No Solution
Exploring Operation: 63-39=24, Resulting Numbers: [24]
24,42 unequal: No Solution
Exploring Operation: 63*39=2457, Resulting Numbers: [2457]
2457,42 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
12,
23,
19,
5
] | 58 | [
"19-12=7",
"5*7=35",
"23+35=58"
] | Current State: 58:[12, 23, 19, 5], Operations: []
Exploring Operation: 19-12=7, Resulting Numbers: [23, 5, 7]
Generated Node #2: [23, 5, 7] from Operation: 19-12=7
Current State: 58:[23, 5, 7], Operations: ['19-12=7']
Exploring Operation: 5*7=35, Resulting Numbers: [23, 35]
Generated Node #3: [23, 35] from Operation: 5*7=35
Current State: 58:[23, 35], Operations: ['19-12=7', '5*7=35']
Exploring Operation: 23+35=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[12, 23, 19, 5], Operations: []
Exploring Operation: 12+19=31, Resulting Numbers: [23, 5, 31]
Generated Node #0,0: 58:[23, 5, 31] Operation: 12+19=31
Exploring Operation: 12+23=35, Resulting Numbers: [19, 5, 35]
Generated Node #0,1: 58:[19, 5, 35] Operation: 12+23=35
Exploring Operation: 23-19=4, Resulting Numbers: [12, 5, 4]
Generated Node #0,2: 58:[12, 5, 4] Operation: 23-19=4
Exploring Operation: 19-12=7, Resulting Numbers: [23, 5, 7]
Generated Node #0,3: 58:[23, 5, 7] Operation: 19-12=7
Exploring Operation: 12*5=60, Resulting Numbers: [23, 19, 60]
Generated Node #0,4: 58:[23, 19, 60] Operation: 12*5=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[23, 5, 31], Operations: ['12+19=31']
Exploring Operation: 23-5=18, Resulting Numbers: [31, 18]
Generated Node #0,0,0: 58:[31, 18] Operation: 23-5=18
Exploring Operation: 31-5=26, Resulting Numbers: [23, 26]
Generated Node #0,0,1: 58:[23, 26] Operation: 31-5=26
Exploring Operation: 23+5=28, Resulting Numbers: [31, 28]
Generated Node #0,0,2: 58:[31, 28] Operation: 23+5=28
Exploring Operation: 31-23=8, Resulting Numbers: [5, 8]
Generated Node #0,0,3: 58:[5, 8] Operation: 31-23=8
Exploring Operation: 23+31=54, Resulting Numbers: [5, 54]
Generated Node #0,0,4: 58:[5, 54] Operation: 23+31=54
Moving to Node #0,0,2
Current State: 58:[31, 28], Operations: ['12+19=31', '23+5=28']
Exploring Operation: 31+28=59, Resulting Numbers: [59]
59,58 unequal: No Solution
Exploring Operation: 31*28=868, Resulting Numbers: [868]
868,58 unequal: No Solution
Exploring Operation: 31-28=3, Resulting Numbers: [3]
3,58 unequal: No Solution
Moving to Node #0,0,4
Current State: 58:[5, 54], Operations: ['12+19=31', '23+31=54']
Exploring Operation: 5*54=270, Resulting Numbers: [270]
270,58 unequal: No Solution
Exploring Operation: 54-5=49, Resulting Numbers: [49]
49,58 unequal: No Solution
Exploring Operation: 5+54=59, Resulting Numbers: [59]
59,58 unequal: No Solution
Moving to Node #0,0,1
Current State: 58:[23, 26], Operations: ['12+19=31', '31-5=26']
Exploring Operation: 23*26=598, Resulting Numbers: [598]
598,58 unequal: No Solution
Exploring Operation: 23+26=49, Resulting Numbers: [49]
49,58 unequal: No Solution
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,58 unequal: No Solution
Moving to Node #0,0,3
Current State: 58:[5, 8], Operations: ['12+19=31', '31-23=8']
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,58 unequal: No Solution
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,58 unequal: No Solution
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,58 unequal: No Solution
Moving to Node #0,0,0
Current State: 58:[31, 18], Operations: ['12+19=31', '23-5=18']
Exploring Operation: 31-18=13, Resulting Numbers: [13]
13,58 unequal: No Solution
Exploring Operation: 31*18=558, Resulting Numbers: [558]
558,58 unequal: No Solution
Exploring Operation: 31+18=49, Resulting Numbers: [49]
49,58 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 #0,3
Current State: 58:[23, 5, 7], Operations: ['19-12=7']
Exploring Operation: 7-5=2, Resulting Numbers: [23, 2]
Generated Node #0,3,0: 58:[23, 2] Operation: 7-5=2
Exploring Operation: 23-5=18, Resulting Numbers: [7, 18]
Generated Node #0,3,1: 58:[7, 18] Operation: 23-5=18
Exploring Operation: 23+7=30, Resulting Numbers: [5, 30]
Generated Node #0,3,2: 58:[5, 30] Operation: 23+7=30
Exploring Operation: 23+5=28, Resulting Numbers: [7, 28]
Generated Node #0,3,3: 58:[7, 28] Operation: 23+5=28
Exploring Operation: 5*7=35, Resulting Numbers: [23, 35]
Generated Node #0,3,4: 58:[23, 35] Operation: 5*7=35
Moving to Node #0,3,2
Current State: 58:[5, 30], Operations: ['19-12=7', '23+7=30']
Exploring Operation: 5+30=35, Resulting Numbers: [35]
35,58 unequal: No Solution
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,58 unequal: No Solution
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,58 unequal: No Solution
Exploring Operation: 5*30=150, Resulting Numbers: [150]
150,58 unequal: No Solution
Moving to Node #0,3,3
Current State: 58:[7, 28], Operations: ['19-12=7', '23+5=28']
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,58 unequal: No Solution
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,58 unequal: No Solution
Exploring Operation: 7*28=196, Resulting Numbers: [196]
196,58 unequal: No Solution
Exploring Operation: 7+28=35, Resulting Numbers: [35]
35,58 unequal: No Solution
Moving to Node #0,3,0
Current State: 58:[23, 2], Operations: ['19-12=7', '7-5=2']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,58 unequal: No Solution
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,58 unequal: No Solution
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,58 unequal: No Solution
Moving to Node #0,3,4
Current State: 58:[23, 35], Operations: ['19-12=7', '5*7=35']
Exploring Operation: 23*35=805, Resulting Numbers: [805]
805,58 unequal: No Solution
Exploring Operation: 23+35=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[12, 23, 19, 5], Operations: []
Exploring Operation: 19-12=7, Resulting Numbers: [23, 5, 7]
Generated Node #0,3: 58:[23, 5, 7] Operation: 19-12=7
Moving to Node #0,3
Current State: 58:[23, 5, 7], Operations: ['19-12=7']
Exploring Operation: 5*7=35, Resulting Numbers: [23, 35]
Generated Node #0,3,4: 58:[23, 35] Operation: 5*7=35
Moving to Node #0,3,4
Current State: 58:[23, 35], Operations: ['19-12=7', '5*7=35']
Exploring Operation: 23+35=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.959201 | hs_5 | sum_heuristic |
[
13,
4,
7,
37
] | 47 | [
"13+4=17",
"37-7=30",
"17+30=47"
] | Current State: 47:[13, 4, 7, 37], Operations: []
Exploring Operation: 13+4=17, Resulting Numbers: [7, 37, 17]
Generated Node #2: [7, 37, 17] from Operation: 13+4=17
Current State: 47:[7, 37, 17], Operations: ['13+4=17']
Exploring Operation: 37-7=30, Resulting Numbers: [17, 30]
Generated Node #3: [17, 30] from Operation: 37-7=30
Current State: 47:[17, 30], Operations: ['13+4=17', '37-7=30']
Exploring Operation: 17+30=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[13, 4, 7, 37], Operations: []
Exploring Operation: 13*4=52, Resulting Numbers: [7, 37, 52]
Generated Node #0,0: 47:[7, 37, 52] Operation: 13*4=52
Moving to Node #0,0
Current State: 47:[7, 37, 52], Operations: ['13*4=52']
Exploring Operation: 7+37=44, Resulting Numbers: [52, 44]
Generated Node #0,0,0: 47:[52, 44] Operation: 7+37=44
Moving to Node #0,0,0
Current State: 47:[52, 44], Operations: ['13*4=52', '7+37=44']
Exploring Operation: 52-44=8, Resulting Numbers: [8]
8,47 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
36,
31,
87,
96
] | 35 | [
"96-87=9",
"36/9=4",
"31+4=35"
] | Current State: 35:[36, 31, 87, 96], Operations: []
Exploring Operation: 96-87=9, Resulting Numbers: [36, 31, 9]
Generated Node #2: [36, 31, 9] from Operation: 96-87=9
Current State: 35:[36, 31, 9], Operations: ['96-87=9']
Exploring Operation: 36/9=4, Resulting Numbers: [31, 4]
Generated Node #3: [31, 4] from Operation: 36/9=4
Current State: 35:[31, 4], Operations: ['96-87=9', '36/9=4']
Exploring Operation: 31+4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[36, 31, 87, 96], Operations: []
Exploring Operation: 96-31=65, Resulting Numbers: [36, 87, 65]
Generated Node #0,0: 35:[36, 87, 65] Operation: 96-31=65
Exploring Operation: 96-87=9, Resulting Numbers: [36, 31, 9]
Generated Node #0,1: 35:[36, 31, 9] Operation: 96-87=9
Exploring Operation: 87-31=56, Resulting Numbers: [36, 96, 56]
Generated Node #0,2: 35:[36, 96, 56] Operation: 87-31=56
Exploring Operation: 96-36=60, Resulting Numbers: [31, 87, 60]
Generated Node #0,3: 35:[31, 87, 60] Operation: 96-36=60
Exploring Operation: 87-36=51, Resulting Numbers: [31, 96, 51]
Generated Node #0,4: 35:[31, 96, 51] Operation: 87-36=51
Moving to Node #0,1
Current State: 35:[36, 31, 9], Operations: ['96-87=9']
Exploring Operation: 36-9=27, Resulting Numbers: [31, 27]
Generated Node #0,1,0: 35:[31, 27] Operation: 36-9=27
Exploring Operation: 36/9=4, Resulting Numbers: [31, 4]
Generated Node #0,1,1: 35:[31, 4] Operation: 36/9=4
Exploring Operation: 31+9=40, Resulting Numbers: [36, 40]
Generated Node #0,1,2: 35:[36, 40] Operation: 31+9=40
Exploring Operation: 36+9=45, Resulting Numbers: [31, 45]
Generated Node #0,1,3: 35:[31, 45] Operation: 36+9=45
Exploring Operation: 36-31=5, Resulting Numbers: [9, 5]
Generated Node #0,1,4: 35:[9, 5] Operation: 36-31=5
Moving to Node #0,4
Current State: 35:[31, 96, 51], Operations: ['87-36=51']
Exploring Operation: 31+51=82, Resulting Numbers: [96, 82]
Generated Node #0,4,0: 35:[96, 82] Operation: 31+51=82
Exploring Operation: 51-31=20, Resulting Numbers: [96, 20]
Generated Node #0,4,1: 35:[96, 20] Operation: 51-31=20
Exploring Operation: 96-31=65, Resulting Numbers: [51, 65]
Generated Node #0,4,2: 35:[51, 65] Operation: 96-31=65
Exploring Operation: 96-51=45, Resulting Numbers: [31, 45]
Generated Node #0,4,3: 35:[31, 45] Operation: 96-51=45
Exploring Operation: 31+96=127, Resulting Numbers: [51, 127]
Generated Node #0,4,4: 35:[51, 127] Operation: 31+96=127
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 35:[31, 45], Operations: ['87-36=51', '96-51=45']
Exploring Operation: 45-31=14, Resulting Numbers: [14]
14,35 unequal: No Solution
Exploring Operation: 31*45=1395, Resulting Numbers: [1395]
1395,35 unequal: No Solution
Exploring Operation: 31+45=76, Resulting Numbers: [76]
76,35 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 #0,4,2
Current State: 35:[51, 65], Operations: ['87-36=51', '96-31=65']
Exploring Operation: 65-51=14, Resulting Numbers: [14]
14,35 unequal: No Solution
Exploring Operation: 51+65=116, Resulting Numbers: [116]
116,35 unequal: No Solution
Exploring Operation: 51*65=3315, Resulting Numbers: [3315]
3315,35 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 #0,4,1
Current State: 35:[96, 20], Operations: ['87-36=51', '51-31=20']
Exploring Operation: 96+20=116, Resulting Numbers: [116]
116,35 unequal: No Solution
Exploring Operation: 96*20=1920, Resulting Numbers: [1920]
1920,35 unequal: No Solution
Exploring Operation: 96-20=76, Resulting Numbers: [76]
76,35 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 #0,4,0
Current State: 35:[96, 82], Operations: ['87-36=51', '31+51=82']
Exploring Operation: 96-82=14, Resulting Numbers: [14]
14,35 unequal: No Solution
Exploring Operation: 96*82=7872, Resulting Numbers: [7872]
7872,35 unequal: No Solution
Exploring Operation: 96+82=178, Resulting Numbers: [178]
178,35 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 #0,4,4
Current State: 35:[51, 127], Operations: ['87-36=51', '31+96=127']
Exploring Operation: 51*127=6477, Resulting Numbers: [6477]
6477,35 unequal: No Solution
Exploring Operation: 51+127=178, Resulting Numbers: [178]
178,35 unequal: No Solution
Exploring Operation: 127-51=76, Resulting Numbers: [76]
76,35 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: 35:[31, 87, 60], Operations: ['96-36=60']
Exploring Operation: 31+87=118, Resulting Numbers: [60, 118]
Generated Node #0,3,0: 35:[60, 118] Operation: 31+87=118
Exploring Operation: 87-31=56, Resulting Numbers: [60, 56]
Generated Node #0,3,1: 35:[60, 56] Operation: 87-31=56
Exploring Operation: 87-60=27, Resulting Numbers: [31, 27]
Generated Node #0,3,2: 35:[31, 27] Operation: 87-60=27
Exploring Operation: 60-31=29, Resulting Numbers: [87, 29]
Generated Node #0,3,3: 35:[87, 29] Operation: 60-31=29
Exploring Operation: 31+60=91, Resulting Numbers: [87, 91]
Generated Node #0,3,4: 35:[87, 91] Operation: 31+60=91
Moving to Node #0,0
Current State: 35:[36, 87, 65], Operations: ['96-31=65']
Exploring Operation: 87-36=51, Resulting Numbers: [65, 51]
Generated Node #0,0,0: 35:[65, 51] Operation: 87-36=51
Exploring Operation: 36+87=123, Resulting Numbers: [65, 123]
Generated Node #0,0,1: 35:[65, 123] Operation: 36+87=123
Exploring Operation: 65-36=29, Resulting Numbers: [87, 29]
Generated Node #0,0,2: 35:[87, 29] Operation: 65-36=29
Exploring Operation: 87-65=22, Resulting Numbers: [36, 22]
Generated Node #0,0,3: 35:[36, 22] Operation: 87-65=22
Exploring Operation: 36+65=101, Resulting Numbers: [87, 101]
Generated Node #0,0,4: 35:[87, 101] Operation: 36+65=101
Moving to Node #0,2
Current State: 35:[36, 96, 56], Operations: ['87-31=56']
Exploring Operation: 56-36=20, Resulting Numbers: [96, 20]
Generated Node #0,2,0: 35:[96, 20] Operation: 56-36=20
Exploring Operation: 96-56=40, Resulting Numbers: [36, 40]
Generated Node #0,2,1: 35:[36, 40] Operation: 96-56=40
Exploring Operation: 36+56=92, Resulting Numbers: [96, 92]
Generated Node #0,2,2: 35:[96, 92] Operation: 36+56=92
Exploring Operation: 36+96=132, Resulting Numbers: [56, 132]
Generated Node #0,2,3: 35:[56, 132] Operation: 36+96=132
Exploring Operation: 96-36=60, Resulting Numbers: [56, 60]
Generated Node #0,2,4: 35:[56, 60] Operation: 96-36=60
Moving to Node #0,1,4
Current State: 35:[9, 5], Operations: ['96-87=9', '36-31=5']
Exploring Operation: 9+5=14, Resulting Numbers: [14]
14,35 unequal: No Solution
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,35 unequal: No Solution
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,35 unequal: No Solution
Moving to Node #0,1,1
Current State: 35:[31, 4], Operations: ['96-87=9', '36/9=4']
Exploring Operation: 31+4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[36, 31, 87, 96], Operations: []
Exploring Operation: 96-87=9, Resulting Numbers: [36, 31, 9]
Generated Node #0,1: 35:[36, 31, 9] Operation: 96-87=9
Moving to Node #0,1
Current State: 35:[36, 31, 9], Operations: ['96-87=9']
Exploring Operation: 36/9=4, Resulting Numbers: [31, 4]
Generated Node #0,1,1: 35:[31, 4] Operation: 36/9=4
Moving to Node #0,1,1
Current State: 35:[31, 4], Operations: ['96-87=9', '36/9=4']
Exploring Operation: 31+4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 0.953993 | hs_5 | mult_heuristic |
[
18,
66,
4,
29
] | 17 | [
"66-18=48",
"48/4=12",
"29-12=17"
] | Current State: 17:[18, 66, 4, 29], Operations: []
Exploring Operation: 66-18=48, Resulting Numbers: [4, 29, 48]
Generated Node #2: [4, 29, 48] from Operation: 66-18=48
Current State: 17:[4, 29, 48], Operations: ['66-18=48']
Exploring Operation: 48/4=12, Resulting Numbers: [29, 12]
Generated Node #3: [29, 12] from Operation: 48/4=12
Current State: 17:[29, 12], Operations: ['66-18=48', '48/4=12']
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[18, 66, 4, 29], Operations: []
Exploring Operation: 66-4=62, Resulting Numbers: [18, 29, 62]
Generated Node #0,0: 17:[18, 29, 62] Operation: 66-4=62
Exploring Operation: 29-4=25, Resulting Numbers: [18, 66, 25]
Generated Node #0,1: 17:[18, 66, 25] Operation: 29-4=25
Exploring Operation: 66-29=37, Resulting Numbers: [18, 4, 37]
Generated Node #0,2: 17:[18, 4, 37] Operation: 66-29=37
Exploring Operation: 66-18=48, Resulting Numbers: [4, 29, 48]
Generated Node #0,3: 17:[4, 29, 48] Operation: 66-18=48
Start Sub Search at level 1: Moving to Node #0,2
Current State: 17:[18, 4, 37], Operations: ['66-29=37']
Exploring Operation: 18-4=14, Resulting Numbers: [37, 14]
Generated Node #0,2,0: 17:[37, 14] Operation: 18-4=14
Exploring Operation: 37-4=33, Resulting Numbers: [18, 33]
Generated Node #0,2,1: 17:[18, 33] Operation: 37-4=33
Exploring Operation: 18+4=22, Resulting Numbers: [37, 22]
Generated Node #0,2,2: 17:[37, 22] Operation: 18+4=22
Exploring Operation: 37-18=19, Resulting Numbers: [4, 19]
Generated Node #0,2,3: 17:[4, 19] Operation: 37-18=19
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 17:[4, 19], Operations: ['66-29=37', '37-18=19']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,17 unequal: No Solution
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,17 unequal: No Solution
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 17:[18, 33], Operations: ['66-29=37', '37-4=33']
Exploring Operation: 33-18=15, Resulting Numbers: [15]
15,17 unequal: No Solution
Exploring Operation: 18*33=594, Resulting Numbers: [594]
594,17 unequal: No Solution
Exploring Operation: 18+33=51, Resulting Numbers: [51]
51,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 17:[37, 14], Operations: ['66-29=37', '18-4=14']
Exploring Operation: 37+14=51, Resulting Numbers: [51]
51,17 unequal: No Solution
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,17 unequal: No Solution
Exploring Operation: 37*14=518, Resulting Numbers: [518]
518,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 17:[37, 22], Operations: ['66-29=37', '18+4=22']
Exploring Operation: 37*22=814, Resulting Numbers: [814]
814,17 unequal: No Solution
Exploring Operation: 37-22=15, Resulting Numbers: [15]
15,17 unequal: No Solution
Exploring Operation: 37+22=59, Resulting Numbers: [59]
59,17 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: 17:[4, 29, 48], Operations: ['66-18=48']
Exploring Operation: 48/4=12, Resulting Numbers: [29, 12]
Generated Node #0,3,0: 17:[29, 12] Operation: 48/4=12
Exploring Operation: 48-29=19, Resulting Numbers: [4, 19]
Generated Node #0,3,1: 17:[4, 19] Operation: 48-29=19
Exploring Operation: 48-4=44, Resulting Numbers: [29, 44]
Generated Node #0,3,2: 17:[29, 44] Operation: 48-4=44
Exploring Operation: 29-4=25, Resulting Numbers: [48, 25]
Generated Node #0,3,3: 17:[48, 25] Operation: 29-4=25
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 17:[4, 19], Operations: ['66-18=48', '48-29=19']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,17 unequal: No Solution
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,17 unequal: No Solution
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 17:[29, 12], Operations: ['66-18=48', '48/4=12']
Exploring Operation: 29*12=348, Resulting Numbers: [348]
348,17 unequal: No Solution
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[18, 66, 4, 29], Operations: []
Exploring Operation: 66-18=48, Resulting Numbers: [4, 29, 48]
Generated Node #0,3: 17:[4, 29, 48] Operation: 66-18=48
Moving to Node #0,3
Current State: 17:[4, 29, 48], Operations: ['66-18=48']
Exploring Operation: 48/4=12, Resulting Numbers: [29, 12]
Generated Node #0,3,0: 17:[29, 12] Operation: 48/4=12
Moving to Node #0,3,0
Current State: 17:[29, 12], Operations: ['66-18=48', '48/4=12']
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.971354 | hs_4 | sum_heuristic |
[
16,
38,
6,
64
] | 11 | [
"64/16=4",
"38+6=44",
"44/4=11"
] | Current State: 11:[16, 38, 6, 64], Operations: []
Exploring Operation: 64/16=4, Resulting Numbers: [38, 6, 4]
Generated Node #2: [38, 6, 4] from Operation: 64/16=4
Current State: 11:[38, 6, 4], Operations: ['64/16=4']
Exploring Operation: 38+6=44, Resulting Numbers: [4, 44]
Generated Node #3: [4, 44] from Operation: 38+6=44
Current State: 11:[4, 44], Operations: ['64/16=4', '38+6=44']
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[16, 38, 6, 64], Operations: []
Exploring Operation: 64-38=26, Resulting Numbers: [16, 6, 26]
Generated Node #0,0: 11:[16, 6, 26] Operation: 64-38=26
Exploring Operation: 64/16=4, Resulting Numbers: [38, 6, 4]
Generated Node #0,1: 11:[38, 6, 4] Operation: 64/16=4
Moving to Node #0,0
Current State: 11:[16, 6, 26], Operations: ['64-38=26']
Exploring Operation: 26-16=10, Resulting Numbers: [6, 10]
Generated Node #0,0,0: 11:[6, 10] Operation: 26-16=10
Exploring Operation: 26-6=20, Resulting Numbers: [16, 20]
Generated Node #0,0,1: 11:[16, 20] Operation: 26-6=20
Moving to Node #0,1
Current State: 11:[38, 6, 4], Operations: ['64/16=4']
Exploring Operation: 38-4=34, Resulting Numbers: [6, 34]
Generated Node #0,1,0: 11:[6, 34] Operation: 38-4=34
Exploring Operation: 38-6=32, Resulting Numbers: [4, 32]
Generated Node #0,1,1: 11:[4, 32] Operation: 38-6=32
Moving to Node #0,0,0
Current State: 11:[6, 10], Operations: ['64-38=26', '26-16=10']
Exploring Operation: 6+10=16, Resulting Numbers: [16]
16,11 unequal: No Solution
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Moving to Node #0,0,1
Current State: 11:[16, 20], Operations: ['64-38=26', '26-6=20']
Exploring Operation: 16+20=36, Resulting Numbers: [36]
36,11 unequal: No Solution
Exploring Operation: 20-16=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Moving to Node #0,1,1
Current State: 11:[4, 32], Operations: ['64/16=4', '38-6=32']
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,11 unequal: No Solution
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,11 unequal: No Solution
Moving to Node #0,1,0
Current State: 11:[6, 34], Operations: ['64/16=4', '38-4=34']
Exploring Operation: 6+34=40, Resulting Numbers: [40]
40,11 unequal: No Solution
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,11 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
57,
22,
43,
62
] | 67 | [
"62-57=5",
"22*5=110",
"110-43=67"
] | Current State: 67:[57, 22, 43, 62], Operations: []
Exploring Operation: 62-57=5, Resulting Numbers: [22, 43, 5]
Generated Node #2: [22, 43, 5] from Operation: 62-57=5
Current State: 67:[22, 43, 5], Operations: ['62-57=5']
Exploring Operation: 22*5=110, Resulting Numbers: [43, 110]
Generated Node #3: [43, 110] from Operation: 22*5=110
Current State: 67:[43, 110], Operations: ['62-57=5', '22*5=110']
Exploring Operation: 110-43=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[57, 22, 43, 62], Operations: []
Exploring Operation: 22+43=65, Resulting Numbers: [57, 62, 65]
Generated Node #0,0: 67:[57, 62, 65] Operation: 22+43=65
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[57, 62, 65], Operations: ['22+43=65']
Exploring Operation: 57+62=119, Resulting Numbers: [65, 119]
Generated Node #0,0,0: 67:[65, 119] Operation: 57+62=119
Moving to Node #0,0,0
Current State: 67:[65, 119], Operations: ['22+43=65', '57+62=119']
Exploring Operation: 119-65=54, Resulting Numbers: [54]
54,67 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 |
[
19,
45,
81,
8
] | 73 | [
"19+45=64",
"64/8=8",
"81-8=73"
] | Current State: 73:[19, 45, 81, 8], Operations: []
Exploring Operation: 19+45=64, Resulting Numbers: [81, 8, 64]
Generated Node #2: [81, 8, 64] from Operation: 19+45=64
Current State: 73:[81, 8, 64], Operations: ['19+45=64']
Exploring Operation: 64/8=8, Resulting Numbers: [81, 8]
Generated Node #3: [81, 8] from Operation: 64/8=8
Current State: 73:[81, 8], Operations: ['19+45=64', '64/8=8']
Exploring Operation: 81-8=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[19, 45, 81, 8], Operations: []
Exploring Operation: 19+45=64, Resulting Numbers: [81, 8, 64]
Generated Node #0,0: 73:[81, 8, 64] Operation: 19+45=64
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[81, 8, 64], Operations: ['19+45=64']
Exploring Operation: 81-8=73, Resulting Numbers: [64, 73]
Generated Node #0,0,0: 73:[64, 73] Operation: 81-8=73
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 73:[64, 73], Operations: ['19+45=64', '81-8=73']
Exploring Operation: 64+73=137, Resulting Numbers: [137]
137,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
66,
66,
8,
43
] | 81 | [
"66+66=132",
"8+43=51",
"132-51=81"
] | Current State: 81:[66, 66, 8, 43], Operations: []
Exploring Operation: 66+66=132, Resulting Numbers: [8, 43, 132]
Generated Node #2: [8, 43, 132] from Operation: 66+66=132
Current State: 81:[8, 43, 132], Operations: ['66+66=132']
Exploring Operation: 8+43=51, Resulting Numbers: [132, 51]
Generated Node #3: [132, 51] from Operation: 8+43=51
Current State: 81:[132, 51], Operations: ['66+66=132', '8+43=51']
Exploring Operation: 132-51=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[66, 66, 8, 43], Operations: []
Exploring Operation: 66/66=1, Resulting Numbers: [8, 43, 1]
Generated Node #0,0: 81:[8, 43, 1] Operation: 66/66=1
Exploring Operation: 66-66=0, Resulting Numbers: [8, 43, 0]
Generated Node #0,1: 81:[8, 43, 0] Operation: 66-66=0
Moving to Node #0,0
Current State: 81:[8, 43, 1], Operations: ['66/66=1']
Exploring Operation: 43-8=35, Resulting Numbers: [1, 35]
Generated Node #0,0,0: 81:[1, 35] Operation: 43-8=35
Exploring Operation: 8+1=9, Resulting Numbers: [43, 9]
Generated Node #0,0,1: 81:[43, 9] Operation: 8+1=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[1, 35], Operations: ['66/66=1', '43-8=35']
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,81 unequal: No Solution
Exploring Operation: 1*35=35, Resulting Numbers: [35]
35,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 81:[43, 9], Operations: ['66/66=1', '8+1=9']
Exploring Operation: 43+9=52, Resulting Numbers: [52]
52,81 unequal: No Solution
Exploring Operation: 43-9=34, Resulting Numbers: [34]
34,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 81:[8, 43, 0], Operations: ['66-66=0']
Exploring Operation: 43-8=35, Resulting Numbers: [0, 35]
Generated Node #0,1,0: 81:[0, 35] Operation: 43-8=35
Exploring Operation: 43*0=0, Resulting Numbers: [8, 0]
Generated Node #0,1,1: 81:[8, 0] Operation: 43*0=0
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 81:[8, 0], Operations: ['66-66=0', '43*0=0']
Exploring Operation: 8-0=8, Resulting Numbers: [8]
8,81 unequal: No Solution
Exploring Operation: 8+0=8, Resulting Numbers: [8]
8,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 81:[0, 35], Operations: ['66-66=0', '43-8=35']
Exploring Operation: 0*35=0, Resulting Numbers: [0]
0,81 unequal: No Solution
Exploring Operation: 0+35=35, Resulting Numbers: [35]
35,81 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 |
[
80,
76,
7,
76
] | 73 | [
"80+76=156",
"7+76=83",
"156-83=73"
] | Current State: 73:[80, 76, 7, 76], Operations: []
Exploring Operation: 80+76=156, Resulting Numbers: [7, 156]
Generated Node #2: [7, 156] from Operation: 80+76=156
Current State: 73:[7, 156], Operations: ['80+76=156']
Exploring Operation: 7+76=83, Resulting Numbers: [156, 83]
Generated Node #3: [156, 83] from Operation: 7+76=83
Current State: 73:[156, 83], Operations: ['80+76=156', '7+76=83']
Exploring Operation: 156-83=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[80, 76, 7, 76], Operations: []
Exploring Operation: 80+7=87, Resulting Numbers: [76, 76, 87]
Generated Node #0,0: 73:[76, 76, 87] Operation: 80+7=87
Exploring Operation: 76-7=69, Resulting Numbers: [80, 76, 69]
Generated Node #0,1: 73:[80, 76, 69] Operation: 76-7=69
Exploring Operation: 80-7=73, Resulting Numbers: [76, 76, 73]
Generated Node #0,2: 73:[76, 76, 73] Operation: 80-7=73
Exploring Operation: 76-7=69, Resulting Numbers: [80, 76, 69]
Generated Node #0,3: 73:[80, 76, 69] Operation: 76-7=69
Start Sub Search at level 1: Moving to Node #0,2
Current State: 73:[76, 76, 73], Operations: ['80-7=73']
Exploring Operation: 76-73=3, Resulting Numbers: [76, 3]
Generated Node #0,2,0: 73:[76, 3] Operation: 76-73=3
Exploring Operation: 76-76=0, Resulting Numbers: [73, 0]
Generated Node #0,2,1: 73:[73, 0] Operation: 76-76=0
Exploring Operation: 76-73=3, Resulting Numbers: [76, 3]
Generated Node #0,2,2: 73:[76, 3] Operation: 76-73=3
Exploring Operation: 76/76=1, Resulting Numbers: [73, 1]
Generated Node #0,2,3: 73:[73, 1] Operation: 76/76=1
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 73:[73, 1], Operations: ['80-7=73', '76/76=1']
Exploring Operation: 73-1=72, Resulting Numbers: [72]
72,73 unequal: No Solution
Exploring Operation: 73+1=74, Resulting Numbers: [74]
74,73 unequal: No Solution
Exploring Operation: 73*1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[80, 76, 7, 76], Operations: []
Exploring Operation: 80-7=73, Resulting Numbers: [76, 76, 73]
Generated Node #0,2: 73:[76, 76, 73] Operation: 80-7=73
Moving to Node #0,2
Current State: 73:[76, 76, 73], Operations: ['80-7=73']
Exploring Operation: 76/76=1, Resulting Numbers: [73, 1]
Generated Node #0,2,3: 73:[73, 1] Operation: 76/76=1
Moving to Node #0,2,3
Current State: 73:[73, 1], Operations: ['80-7=73', '76/76=1']
Exploring Operation: 73*1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
94,
4,
35,
32
] | 95 | [
"94+4=98",
"35-32=3",
"98-3=95"
] | Current State: 95:[94, 4, 35, 32], Operations: []
Exploring Operation: 94+4=98, Resulting Numbers: [35, 32, 98]
Generated Node #2: [35, 32, 98] from Operation: 94+4=98
Current State: 95:[35, 32, 98], Operations: ['94+4=98']
Exploring Operation: 35-32=3, Resulting Numbers: [98, 3]
Generated Node #3: [98, 3] from Operation: 35-32=3
Current State: 95:[98, 3], Operations: ['94+4=98', '35-32=3']
Exploring Operation: 98-3=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[94, 4, 35, 32], Operations: []
Exploring Operation: 32/4=8, Resulting Numbers: [94, 35, 8]
Generated Node #0,0: 95:[94, 35, 8] Operation: 32/4=8
Exploring Operation: 35-32=3, Resulting Numbers: [94, 4, 3]
Generated Node #0,1: 95:[94, 4, 3] Operation: 35-32=3
Exploring Operation: 35-4=31, Resulting Numbers: [94, 32, 31]
Generated Node #0,2: 95:[94, 32, 31] Operation: 35-4=31
Start Sub Search at level 1: Moving to Node #0,1
Current State: 95:[94, 4, 3], Operations: ['35-32=3']
Exploring Operation: 94+3=97, Resulting Numbers: [4, 97]
Generated Node #0,1,0: 95:[4, 97] Operation: 94+3=97
Exploring Operation: 4+3=7, Resulting Numbers: [94, 7]
Generated Node #0,1,1: 95:[94, 7] Operation: 4+3=7
Exploring Operation: 94+4=98, Resulting Numbers: [3, 98]
Generated Node #0,1,2: 95:[3, 98] Operation: 94+4=98
Moving to Node #0,1,0
Current State: 95:[4, 97], Operations: ['35-32=3', '94+3=97']
Exploring Operation: 4*97=388, Resulting Numbers: [388]
388,95 unequal: No Solution
Exploring Operation: 4+97=101, Resulting Numbers: [101]
101,95 unequal: No Solution
Exploring Operation: 97-4=93, Resulting Numbers: [93]
93,95 unequal: No Solution
Moving to Node #0,1,1
Current State: 95:[94, 7], Operations: ['35-32=3', '4+3=7']
Exploring Operation: 94*7=658, Resulting Numbers: [658]
658,95 unequal: No Solution
Exploring Operation: 94-7=87, Resulting Numbers: [87]
87,95 unequal: No Solution
Exploring Operation: 94+7=101, Resulting Numbers: [101]
101,95 unequal: No Solution
Moving to Node #0,1,2
Current State: 95:[3, 98], Operations: ['35-32=3', '94+4=98']
Exploring Operation: 3+98=101, Resulting Numbers: [101]
101,95 unequal: No Solution
Exploring Operation: 98-3=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[94, 4, 35, 32], Operations: []
Exploring Operation: 35-32=3, Resulting Numbers: [94, 4, 3]
Generated Node #0,1: 95:[94, 4, 3] Operation: 35-32=3
Moving to Node #0,1
Current State: 95:[94, 4, 3], Operations: ['35-32=3']
Exploring Operation: 94+4=98, Resulting Numbers: [3, 98]
Generated Node #0,1,2: 95:[3, 98] Operation: 94+4=98
Moving to Node #0,1,2
Current State: 95:[3, 98], Operations: ['35-32=3', '94+4=98']
Exploring Operation: 98-3=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | mult_heuristic |
[
60,
30,
94,
91
] | 87 | [
"60+30=90",
"94-91=3",
"90-3=87"
] | Current State: 87:[60, 30, 94, 91], Operations: []
Exploring Operation: 60+30=90, Resulting Numbers: [94, 91, 90]
Generated Node #2: [94, 91, 90] from Operation: 60+30=90
Current State: 87:[94, 91, 90], Operations: ['60+30=90']
Exploring Operation: 94-91=3, Resulting Numbers: [90, 3]
Generated Node #3: [90, 3] from Operation: 94-91=3
Current State: 87:[90, 3], Operations: ['60+30=90', '94-91=3']
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[60, 30, 94, 91], Operations: []
Exploring Operation: 94-60=34, Resulting Numbers: [30, 91, 34]
Generated Node #0,0: 87:[30, 91, 34] Operation: 94-60=34
Exploring Operation: 91-60=31, Resulting Numbers: [30, 94, 31]
Generated Node #0,1: 87:[30, 94, 31] Operation: 91-60=31
Moving to Node #0,0
Current State: 87:[30, 91, 34], Operations: ['94-60=34']
Exploring Operation: 30+34=64, Resulting Numbers: [91, 64]
Generated Node #0,0,0: 87:[91, 64] Operation: 30+34=64
Exploring Operation: 34-30=4, Resulting Numbers: [91, 4]
Generated Node #0,0,1: 87:[91, 4] Operation: 34-30=4
Moving to Node #0,1
Current State: 87:[30, 94, 31], Operations: ['91-60=31']
Exploring Operation: 31-30=1, Resulting Numbers: [94, 1]
Generated Node #0,1,0: 87:[94, 1] Operation: 31-30=1
Exploring Operation: 94-30=64, Resulting Numbers: [31, 64]
Generated Node #0,1,1: 87:[31, 64] Operation: 94-30=64
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 87:[94, 1], Operations: ['91-60=31', '31-30=1']
Exploring Operation: 94*1=94, Resulting Numbers: [94]
94,87 unequal: No Solution
Exploring Operation: 94-1=93, Resulting Numbers: [93]
93,87 unequal: No Solution
No 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: 87:[31, 64], Operations: ['91-60=31', '94-30=64']
Exploring Operation: 31+64=95, Resulting Numbers: [95]
95,87 unequal: No Solution
Exploring Operation: 64-31=33, Resulting Numbers: [33]
33,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 87:[91, 4], Operations: ['94-60=34', '34-30=4']
Exploring Operation: 91+4=95, Resulting Numbers: [95]
95,87 unequal: No Solution
Exploring Operation: 91-4=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[60, 30, 94, 91], Operations: []
Exploring Operation: 94-60=34, Resulting Numbers: [30, 91, 34]
Generated Node #0,0: 87:[30, 91, 34] Operation: 94-60=34
Moving to Node #0,0
Current State: 87:[30, 91, 34], Operations: ['94-60=34']
Exploring Operation: 34-30=4, Resulting Numbers: [91, 4]
Generated Node #0,0,1: 87:[91, 4] Operation: 34-30=4
Moving to Node #0,0,1
Current State: 87:[91, 4], Operations: ['94-60=34', '34-30=4']
Exploring Operation: 91-4=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 0.986111 | hs_2 | mult_heuristic |
[
83,
22,
2,
61
] | 83 | [
"83+22=105",
"61+105=166",
"166/2=83"
] | Current State: 83:[83, 22, 2, 61], Operations: []
Exploring Operation: 83+22=105, Resulting Numbers: [2, 61, 105]
Generated Node #2: [2, 61, 105] from Operation: 83+22=105
Current State: 83:[2, 61, 105], Operations: ['83+22=105']
Exploring Operation: 61+105=166, Resulting Numbers: [2, 166]
Generated Node #3: [2, 166] from Operation: 61+105=166
Current State: 83:[2, 166], Operations: ['83+22=105', '61+105=166']
Exploring Operation: 166/2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[83, 22, 2, 61], Operations: []
Exploring Operation: 22*2=44, Resulting Numbers: [83, 61, 44]
Generated Node #0,0: 83:[83, 61, 44] Operation: 22*2=44
Moving to Node #0,0
Current State: 83:[83, 61, 44], Operations: ['22*2=44']
Exploring Operation: 61+44=105, Resulting Numbers: [83, 105]
Generated Node #0,0,0: 83:[83, 105] Operation: 61+44=105
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 83:[83, 105], Operations: ['22*2=44', '61+44=105']
Exploring Operation: 105-83=22, Resulting Numbers: [22]
22,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
56,
62,
3,
95
] | 55 | [
"95-56=39",
"3*39=117",
"117-62=55"
] | Current State: 55:[56, 62, 3, 95], Operations: []
Exploring Operation: 95-56=39, Resulting Numbers: [62, 3, 39]
Generated Node #2: [62, 3, 39] from Operation: 95-56=39
Current State: 55:[62, 3, 39], Operations: ['95-56=39']
Exploring Operation: 3*39=117, Resulting Numbers: [62, 117]
Generated Node #3: [62, 117] from Operation: 3*39=117
Current State: 55:[62, 117], Operations: ['95-56=39', '3*39=117']
Exploring Operation: 117-62=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[56, 62, 3, 95], Operations: []
Exploring Operation: 95-56=39, Resulting Numbers: [62, 3, 39]
Generated Node #0,0: 55:[62, 3, 39] Operation: 95-56=39
Exploring Operation: 62-56=6, Resulting Numbers: [3, 95, 6]
Generated Node #0,1: 55:[3, 95, 6] Operation: 62-56=6
Exploring Operation: 62-3=59, Resulting Numbers: [56, 95, 59]
Generated Node #0,2: 55:[56, 95, 59] Operation: 62-3=59
Exploring Operation: 95-62=33, Resulting Numbers: [56, 3, 33]
Generated Node #0,3: 55:[56, 3, 33] Operation: 95-62=33
Moving to Node #0,0
Current State: 55:[62, 3, 39], Operations: ['95-56=39']
Exploring Operation: 3+39=42, Resulting Numbers: [62, 42]
Generated Node #0,0,0: 55:[62, 42] Operation: 3+39=42
Exploring Operation: 62-39=23, Resulting Numbers: [3, 23]
Generated Node #0,0,1: 55:[3, 23] Operation: 62-39=23
Exploring Operation: 39/3=13, Resulting Numbers: [62, 13]
Generated Node #0,0,2: 55:[62, 13] Operation: 39/3=13
Exploring Operation: 62-3=59, Resulting Numbers: [39, 59]
Generated Node #0,0,3: 55:[39, 59] Operation: 62-3=59
Moving to Node #0,3
Current State: 55:[56, 3, 33], Operations: ['95-62=33']
Exploring Operation: 56-33=23, Resulting Numbers: [3, 23]
Generated Node #0,3,0: 55:[3, 23] Operation: 56-33=23
Exploring Operation: 33-3=30, Resulting Numbers: [56, 30]
Generated Node #0,3,1: 55:[56, 30] Operation: 33-3=30
Exploring Operation: 3+33=36, Resulting Numbers: [56, 36]
Generated Node #0,3,2: 55:[56, 36] Operation: 3+33=36
Exploring Operation: 33/3=11, Resulting Numbers: [56, 11]
Generated Node #0,3,3: 55:[56, 11] Operation: 33/3=11
Moving to Node #0,1
Current State: 55:[3, 95, 6], Operations: ['62-56=6']
Exploring Operation: 95-3=92, Resulting Numbers: [6, 92]
Generated Node #0,1,0: 55:[6, 92] Operation: 95-3=92
Exploring Operation: 3+6=9, Resulting Numbers: [95, 9]
Generated Node #0,1,1: 55:[95, 9] Operation: 3+6=9
Exploring Operation: 6-3=3, Resulting Numbers: [95, 3]
Generated Node #0,1,2: 55:[95, 3] Operation: 6-3=3
Exploring Operation: 95-6=89, Resulting Numbers: [3, 89]
Generated Node #0,1,3: 55:[3, 89] Operation: 95-6=89
Moving to Node #0,2
Current State: 55:[56, 95, 59], Operations: ['62-3=59']
Exploring Operation: 59-56=3, Resulting Numbers: [95, 3]
Generated Node #0,2,0: 55:[95, 3] Operation: 59-56=3
Exploring Operation: 95-56=39, Resulting Numbers: [59, 39]
Generated Node #0,2,1: 55:[59, 39] Operation: 95-56=39
Exploring Operation: 56+95=151, Resulting Numbers: [59, 151]
Generated Node #0,2,2: 55:[59, 151] Operation: 56+95=151
Exploring Operation: 95-59=36, Resulting Numbers: [56, 36]
Generated Node #0,2,3: 55:[56, 36] Operation: 95-59=36
Moving to Node #0,3,3
Current State: 55:[56, 11], Operations: ['95-62=33', '33/3=11']
Exploring Operation: 56*11=616, Resulting Numbers: [616]
616,55 unequal: No Solution
Exploring Operation: 56-11=45, Resulting Numbers: [45]
45,55 unequal: No Solution
Exploring Operation: 56+11=67, Resulting Numbers: [67]
67,55 unequal: No Solution
Moving to Node #0,0,2
Current State: 55:[62, 13], Operations: ['95-56=39', '39/3=13']
Exploring Operation: 62-13=49, Resulting Numbers: [49]
49,55 unequal: No Solution
Exploring Operation: 62*13=806, Resulting Numbers: [806]
806,55 unequal: No Solution
Exploring Operation: 62+13=75, Resulting Numbers: [75]
75,55 unequal: No Solution
Moving to Node #0,3,0
Current State: 55:[3, 23], Operations: ['95-62=33', '56-33=23']
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,55 unequal: No Solution
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,55 unequal: No Solution
Moving to Node #0,0,1
Current State: 55:[3, 23], Operations: ['95-56=39', '62-39=23']
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,55 unequal: No Solution
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,55 unequal: No Solution
Moving to Node #0,3,1
Current State: 55:[56, 30], Operations: ['95-62=33', '33-3=30']
Exploring Operation: 56-30=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Exploring Operation: 56*30=1680, Resulting Numbers: [1680]
1680,55 unequal: No Solution
Exploring Operation: 56+30=86, Resulting Numbers: [86]
86,55 unequal: No Solution
Moving to Node #0,2,3
Current State: 55:[56, 36], Operations: ['62-3=59', '95-59=36']
Exploring Operation: 56*36=2016, Resulting Numbers: [2016]
2016,55 unequal: No Solution
Exploring Operation: 56-36=20, Resulting Numbers: [20]
20,55 unequal: No Solution
Exploring Operation: 56+36=92, Resulting Numbers: [92]
92,55 unequal: No Solution
Moving to Node #0,2,1
Current State: 55:[59, 39], Operations: ['62-3=59', '95-56=39']
Exploring Operation: 59-39=20, Resulting Numbers: [20]
20,55 unequal: No Solution
Exploring Operation: 59*39=2301, Resulting Numbers: [2301]
2301,55 unequal: No Solution
Exploring Operation: 59+39=98, Resulting Numbers: [98]
98,55 unequal: No Solution
Moving to Node #0,0,0
Current State: 55:[62, 42], Operations: ['95-56=39', '3+39=42']
Exploring Operation: 62-42=20, Resulting Numbers: [20]
20,55 unequal: No Solution
Exploring Operation: 62*42=2604, Resulting Numbers: [2604]
2604,55 unequal: No Solution
Exploring Operation: 62+42=104, Resulting Numbers: [104]
104,55 unequal: No Solution
Moving to Node #0,0,3
Current State: 55:[39, 59], Operations: ['95-56=39', '62-3=59']
Exploring Operation: 59-39=20, Resulting Numbers: [20]
20,55 unequal: No Solution
Exploring Operation: 39+59=98, Resulting Numbers: [98]
98,55 unequal: No Solution
Exploring Operation: 39*59=2301, Resulting Numbers: [2301]
2301,55 unequal: No Solution
Moving to Node #0,3,2
Current State: 55:[56, 36], Operations: ['95-62=33', '3+33=36']
Exploring Operation: 56+36=92, Resulting Numbers: [92]
92,55 unequal: No Solution
Exploring Operation: 56-36=20, Resulting Numbers: [20]
20,55 unequal: No Solution
Exploring Operation: 56*36=2016, Resulting Numbers: [2016]
2016,55 unequal: No Solution
Moving to Node #0,1,3
Current State: 55:[3, 89], Operations: ['62-56=6', '95-6=89']
Exploring Operation: 89-3=86, Resulting Numbers: [86]
86,55 unequal: No Solution
Exploring Operation: 3+89=92, Resulting Numbers: [92]
92,55 unequal: No Solution
Exploring Operation: 3*89=267, Resulting Numbers: [267]
267,55 unequal: No Solution
Moving to Node #0,1,0
Current State: 55:[6, 92], Operations: ['62-56=6', '95-3=92']
Exploring Operation: 6+92=98, Resulting Numbers: [98]
98,55 unequal: No Solution
Exploring Operation: 6*92=552, Resulting Numbers: [552]
552,55 unequal: No Solution
Exploring Operation: 92-6=86, Resulting Numbers: [86]
86,55 unequal: No Solution
Moving to Node #0,1,2
Current State: 55:[95, 3], Operations: ['62-56=6', '6-3=3']
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,55 unequal: No Solution
Exploring Operation: 95+3=98, Resulting Numbers: [98]
98,55 unequal: No Solution
Exploring Operation: 95*3=285, Resulting Numbers: [285]
285,55 unequal: No Solution
Moving to Node #0,2,0
Current State: 55:[95, 3], Operations: ['62-3=59', '59-56=3']
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,55 unequal: No Solution
Exploring Operation: 95+3=98, Resulting Numbers: [98]
98,55 unequal: No Solution
Exploring Operation: 95*3=285, Resulting Numbers: [285]
285,55 unequal: No Solution
Moving to Node #0,1,1
Current State: 55:[95, 9], Operations: ['62-56=6', '3+6=9']
Exploring Operation: 95-9=86, Resulting Numbers: [86]
86,55 unequal: No Solution
Exploring Operation: 95+9=104, Resulting Numbers: [104]
104,55 unequal: No Solution
Exploring Operation: 95*9=855, Resulting Numbers: [855]
855,55 unequal: No Solution
Moving to Node #0,2,2
Current State: 55:[59, 151], Operations: ['62-3=59', '56+95=151']
Exploring Operation: 59*151=8909, Resulting Numbers: [8909]
8909,55 unequal: No Solution
Exploring Operation: 59+151=210, Resulting Numbers: [210]
210,55 unequal: No Solution
Exploring Operation: 151-59=92, Resulting Numbers: [92]
92,55 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
74,
29,
87,
81
] | 65 | [
"74+29=103",
"87+81=168",
"168-103=65"
] | Current State: 65:[74, 29, 87, 81], Operations: []
Exploring Operation: 74+29=103, Resulting Numbers: [87, 81, 103]
Generated Node #2: [87, 81, 103] from Operation: 74+29=103
Current State: 65:[87, 81, 103], Operations: ['74+29=103']
Exploring Operation: 87+81=168, Resulting Numbers: [103, 168]
Generated Node #3: [103, 168] from Operation: 87+81=168
Current State: 65:[103, 168], Operations: ['74+29=103', '87+81=168']
Exploring Operation: 168-103=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[74, 29, 87, 81], Operations: []
Exploring Operation: 87-81=6, Resulting Numbers: [74, 29, 6]
Generated Node #0,0: 65:[74, 29, 6] Operation: 87-81=6
Exploring Operation: 87/29=3, Resulting Numbers: [74, 81, 3]
Generated Node #0,1: 65:[74, 81, 3] Operation: 87/29=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[74, 29, 6], Operations: ['87-81=6']
Exploring Operation: 74-6=68, Resulting Numbers: [29, 68]
Generated Node #0,0,0: 65:[29, 68] Operation: 74-6=68
Exploring Operation: 29-6=23, Resulting Numbers: [74, 23]
Generated Node #0,0,1: 65:[74, 23] Operation: 29-6=23
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 65:[29, 68], Operations: ['87-81=6', '74-6=68']
Exploring Operation: 68-29=39, Resulting Numbers: [39]
39,65 unequal: No Solution
Exploring Operation: 29+68=97, Resulting Numbers: [97]
97,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 65:[74, 23], Operations: ['87-81=6', '29-6=23']
Exploring Operation: 74-23=51, Resulting Numbers: [51]
51,65 unequal: No Solution
Exploring Operation: 74+23=97, Resulting Numbers: [97]
97,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[74, 81, 3], Operations: ['87/29=3']
Exploring Operation: 81-74=7, Resulting Numbers: [3, 7]
Generated Node #0,1,0: 65:[3, 7] Operation: 81-74=7
Exploring Operation: 74-3=71, Resulting Numbers: [81, 71]
Generated Node #0,1,1: 65:[81, 71] Operation: 74-3=71
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 65:[3, 7], Operations: ['87/29=3', '81-74=7']
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,65 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 65:[81, 71], Operations: ['87/29=3', '74-3=71']
Exploring Operation: 81+71=152, Resulting Numbers: [152]
152,65 unequal: No Solution
Exploring Operation: 81-71=10, Resulting Numbers: [10]
10,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
97,
70,
7,
46
] | 66 | [
"97-70=27",
"46-7=39",
"27+39=66"
] | Current State: 66:[97, 70, 7, 46], Operations: []
Exploring Operation: 97-70=27, Resulting Numbers: [7, 46, 27]
Generated Node #2: [7, 46, 27] from Operation: 97-70=27
Current State: 66:[7, 46, 27], Operations: ['97-70=27']
Exploring Operation: 46-7=39, Resulting Numbers: [27, 39]
Generated Node #3: [27, 39] from Operation: 46-7=39
Current State: 66:[27, 39], Operations: ['97-70=27', '46-7=39']
Exploring Operation: 27+39=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[97, 70, 7, 46], Operations: []
Exploring Operation: 97-46=51, Resulting Numbers: [70, 7, 51]
Generated Node #0,0: 66:[70, 7, 51] Operation: 97-46=51
Exploring Operation: 97-7=90, Resulting Numbers: [70, 46, 90]
Generated Node #0,1: 66:[70, 46, 90] Operation: 97-7=90
Exploring Operation: 70-46=24, Resulting Numbers: [97, 7, 24]
Generated Node #0,2: 66:[97, 7, 24] Operation: 70-46=24
Exploring Operation: 97-70=27, Resulting Numbers: [7, 46, 27]
Generated Node #0,3: 66:[7, 46, 27] Operation: 97-70=27
Start Sub Search at level 1: Moving to Node #0,3
Current State: 66:[7, 46, 27], Operations: ['97-70=27']
Exploring Operation: 46+27=73, Resulting Numbers: [7, 73]
Generated Node #0,3,0: 66:[7, 73] Operation: 46+27=73
Exploring Operation: 46-7=39, Resulting Numbers: [27, 39]
Generated Node #0,3,1: 66:[27, 39] Operation: 46-7=39
Exploring Operation: 46-27=19, Resulting Numbers: [7, 19]
Generated Node #0,3,2: 66:[7, 19] Operation: 46-27=19
Exploring Operation: 7+27=34, Resulting Numbers: [46, 34]
Generated Node #0,3,3: 66:[46, 34] Operation: 7+27=34
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 66:[7, 19], Operations: ['97-70=27', '46-27=19']
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,66 unequal: No Solution
Exploring Operation: 7*19=133, Resulting Numbers: [133]
133,66 unequal: No Solution
Exploring Operation: 7+19=26, Resulting Numbers: [26]
26,66 unequal: No Solution
No 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: 66:[7, 73], Operations: ['97-70=27', '46+27=73']
Exploring Operation: 73-7=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[97, 70, 7, 46], Operations: []
Exploring Operation: 97-70=27, Resulting Numbers: [7, 46, 27]
Generated Node #0,3: 66:[7, 46, 27] Operation: 97-70=27
Moving to Node #0,3
Current State: 66:[7, 46, 27], Operations: ['97-70=27']
Exploring Operation: 46+27=73, Resulting Numbers: [7, 73]
Generated Node #0,3,0: 66:[7, 73] Operation: 46+27=73
Moving to Node #0,3,0
Current State: 66:[7, 73], Operations: ['97-70=27', '46+27=73']
Exploring Operation: 73-7=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
25,
85,
24,
11
] | 34 | [
"25+85=110",
"110/11=10",
"24+10=34"
] | Current State: 34:[25, 85, 24, 11], Operations: []
Exploring Operation: 25+85=110, Resulting Numbers: [24, 11, 110]
Generated Node #2: [24, 11, 110] from Operation: 25+85=110
Current State: 34:[24, 11, 110], Operations: ['25+85=110']
Exploring Operation: 110/11=10, Resulting Numbers: [24, 10]
Generated Node #3: [24, 10] from Operation: 110/11=10
Current State: 34:[24, 10], Operations: ['25+85=110', '110/11=10']
Exploring Operation: 24+10=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[25, 85, 24, 11], Operations: []
Exploring Operation: 85-25=60, Resulting Numbers: [24, 11, 60]
Generated Node #0,0: 34:[24, 11, 60] Operation: 85-25=60
Moving to Node #0,0
Current State: 34:[24, 11, 60], Operations: ['85-25=60']
Exploring Operation: 60-24=36, Resulting Numbers: [11, 36]
Generated Node #0,0,0: 34:[11, 36] Operation: 60-24=36
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 34:[11, 36], Operations: ['85-25=60', '60-24=36']
Exploring Operation: 36-11=25, Resulting Numbers: [25]
25,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
66,
38,
40,
11
] | 13 | [
"66/11=6",
"38+40=78",
"78/6=13"
] | Current State: 13:[66, 38, 40, 11], Operations: []
Exploring Operation: 66/11=6, Resulting Numbers: [38, 40, 6]
Generated Node #2: [38, 40, 6] from Operation: 66/11=6
Current State: 13:[38, 40, 6], Operations: ['66/11=6']
Exploring Operation: 38+40=78, Resulting Numbers: [6, 78]
Generated Node #3: [6, 78] from Operation: 38+40=78
Current State: 13:[6, 78], Operations: ['66/11=6', '38+40=78']
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[66, 38, 40, 11], Operations: []
Exploring Operation: 66-40=26, Resulting Numbers: [38, 11, 26]
Generated Node #0,0: 13:[38, 11, 26] Operation: 66-40=26
Exploring Operation: 66-38=28, Resulting Numbers: [40, 11, 28]
Generated Node #0,1: 13:[40, 11, 28] Operation: 66-38=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[38, 11, 26], Operations: ['66-40=26']
Exploring Operation: 38-11=27, Resulting Numbers: [26, 27]
Generated Node #0,0,0: 13:[26, 27] Operation: 38-11=27
Exploring Operation: 38-26=12, Resulting Numbers: [11, 12]
Generated Node #0,0,1: 13:[11, 12] Operation: 38-26=12
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 13:[11, 12], Operations: ['66-40=26', '38-26=12']
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,13 unequal: No Solution
Exploring Operation: 11+12=23, Resulting Numbers: [23]
23,13 unequal: No Solution
No 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: 13:[26, 27], Operations: ['66-40=26', '38-11=27']
Exploring Operation: 26+27=53, Resulting Numbers: [53]
53,13 unequal: No Solution
Exploring Operation: 27-26=1, Resulting Numbers: [1]
1,13 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: 13:[40, 11, 28], Operations: ['66-38=28']
Exploring Operation: 40-28=12, Resulting Numbers: [11, 12]
Generated Node #0,1,0: 13:[11, 12] Operation: 40-28=12
Exploring Operation: 40-11=29, Resulting Numbers: [28, 29]
Generated Node #0,1,1: 13:[28, 29] Operation: 40-11=29
Moving to Node #0,1,0
Current State: 13:[11, 12], Operations: ['66-38=28', '40-28=12']
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,13 unequal: No Solution
Exploring Operation: 11+12=23, Resulting Numbers: [23]
23,13 unequal: No Solution
Moving to Node #0,1,1
Current State: 13:[28, 29], Operations: ['66-38=28', '40-11=29']
Exploring Operation: 29-28=1, Resulting Numbers: [1]
1,13 unequal: No Solution
Exploring Operation: 28+29=57, Resulting Numbers: [57]
57,13 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 |
[
86,
66,
8,
49
] | 50 | [
"66-49=17",
"8*17=136",
"136-86=50"
] | Current State: 50:[86, 66, 8, 49], Operations: []
Exploring Operation: 66-49=17, Resulting Numbers: [86, 8, 17]
Generated Node #2: [86, 8, 17] from Operation: 66-49=17
Current State: 50:[86, 8, 17], Operations: ['66-49=17']
Exploring Operation: 8*17=136, Resulting Numbers: [86, 136]
Generated Node #3: [86, 136] from Operation: 8*17=136
Current State: 50:[86, 136], Operations: ['66-49=17', '8*17=136']
Exploring Operation: 136-86=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[86, 66, 8, 49], Operations: []
Exploring Operation: 86-8=78, Resulting Numbers: [66, 49, 78]
Generated Node #0,0: 50:[66, 49, 78] Operation: 86-8=78
Exploring Operation: 86-66=20, Resulting Numbers: [8, 49, 20]
Generated Node #0,1: 50:[8, 49, 20] Operation: 86-66=20
Exploring Operation: 86-49=37, Resulting Numbers: [66, 8, 37]
Generated Node #0,2: 50:[66, 8, 37] Operation: 86-49=37
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[8, 49, 20], Operations: ['86-66=20']
Exploring Operation: 8+20=28, Resulting Numbers: [49, 28]
Generated Node #0,1,0: 50:[49, 28] Operation: 8+20=28
Exploring Operation: 49-20=29, Resulting Numbers: [8, 29]
Generated Node #0,1,1: 50:[8, 29] Operation: 49-20=29
Exploring Operation: 20-8=12, Resulting Numbers: [49, 12]
Generated Node #0,1,2: 50:[49, 12] Operation: 20-8=12
Moving to Node #0,1,2
Current State: 50:[49, 12], Operations: ['86-66=20', '20-8=12']
Exploring Operation: 49-12=37, Resulting Numbers: [37]
37,50 unequal: No Solution
Exploring Operation: 49+12=61, Resulting Numbers: [61]
61,50 unequal: No Solution
Exploring Operation: 49*12=588, Resulting Numbers: [588]
588,50 unequal: No Solution
Moving to Node #0,1,0
Current State: 50:[49, 28], Operations: ['86-66=20', '8+20=28']
Exploring Operation: 49+28=77, Resulting Numbers: [77]
77,50 unequal: No Solution
Exploring Operation: 49-28=21, Resulting Numbers: [21]
21,50 unequal: No Solution
Exploring Operation: 49*28=1372, Resulting Numbers: [1372]
1372,50 unequal: No Solution
Moving to Node #0,1,1
Current State: 50:[8, 29], Operations: ['86-66=20', '49-20=29']
Exploring Operation: 8+29=37, Resulting Numbers: [37]
37,50 unequal: No Solution
Exploring Operation: 8*29=232, Resulting Numbers: [232]
232,50 unequal: No Solution
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 50:[66, 8, 37], Operations: ['86-49=37']
Exploring Operation: 66-8=58, Resulting Numbers: [37, 58]
Generated Node #0,2,0: 50:[37, 58] Operation: 66-8=58
Exploring Operation: 66-37=29, Resulting Numbers: [8, 29]
Generated Node #0,2,1: 50:[8, 29] Operation: 66-37=29
Exploring Operation: 37-8=29, Resulting Numbers: [66, 29]
Generated Node #0,2,2: 50:[66, 29] Operation: 37-8=29
Moving to Node #0,2,1
Current State: 50:[8, 29], Operations: ['86-49=37', '66-37=29']
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,50 unequal: No Solution
Exploring Operation: 8*29=232, Resulting Numbers: [232]
232,50 unequal: No Solution
Exploring Operation: 8+29=37, Resulting Numbers: [37]
37,50 unequal: No Solution
Moving to Node #0,2,0
Current State: 50:[37, 58], Operations: ['86-49=37', '66-8=58']
Exploring Operation: 37*58=2146, Resulting Numbers: [2146]
2146,50 unequal: No Solution
Exploring Operation: 37+58=95, Resulting Numbers: [95]
95,50 unequal: No Solution
Exploring Operation: 58-37=21, Resulting Numbers: [21]
21,50 unequal: No Solution
Moving to Node #0,2,2
Current State: 50:[66, 29], Operations: ['86-49=37', '37-8=29']
Exploring Operation: 66-29=37, Resulting Numbers: [37]
37,50 unequal: No Solution
Exploring Operation: 66+29=95, Resulting Numbers: [95]
95,50 unequal: No Solution
Exploring Operation: 66*29=1914, Resulting Numbers: [1914]
1914,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[66, 49, 78], Operations: ['86-8=78']
Exploring Operation: 78-66=12, Resulting Numbers: [49, 12]
Generated Node #0,0,0: 50:[49, 12] Operation: 78-66=12
Exploring Operation: 78-49=29, Resulting Numbers: [66, 29]
Generated Node #0,0,1: 50:[66, 29] Operation: 78-49=29
Exploring Operation: 66-49=17, Resulting Numbers: [78, 17]
Generated Node #0,0,2: 50:[78, 17] Operation: 66-49=17
Moving to Node #0,0,0
Current State: 50:[49, 12], Operations: ['86-8=78', '78-66=12']
Exploring Operation: 49+12=61, Resulting Numbers: [61]
61,50 unequal: No Solution
Exploring Operation: 49*12=588, Resulting Numbers: [588]
588,50 unequal: No Solution
Exploring Operation: 49-12=37, Resulting Numbers: [37]
37,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[66, 29], Operations: ['86-8=78', '78-49=29']
Exploring Operation: 66+29=95, Resulting Numbers: [95]
95,50 unequal: No Solution
Exploring Operation: 66*29=1914, Resulting Numbers: [1914]
1914,50 unequal: No Solution
Exploring Operation: 66-29=37, Resulting Numbers: [37]
37,50 unequal: No Solution
Moving to Node #0,0,2
Current State: 50:[78, 17], Operations: ['86-8=78', '66-49=17']
Exploring Operation: 78+17=95, Resulting Numbers: [95]
95,50 unequal: No Solution
Exploring Operation: 78-17=61, Resulting Numbers: [61]
61,50 unequal: No Solution
Exploring Operation: 78*17=1326, Resulting Numbers: [1326]
1326,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
67,
41,
43,
39
] | 55 | [
"67+43=110",
"41-39=2",
"110/2=55"
] | Current State: 55:[67, 41, 43, 39], Operations: []
Exploring Operation: 67+43=110, Resulting Numbers: [41, 39, 110]
Generated Node #2: [41, 39, 110] from Operation: 67+43=110
Current State: 55:[41, 39, 110], Operations: ['67+43=110']
Exploring Operation: 41-39=2, Resulting Numbers: [110, 2]
Generated Node #3: [110, 2] from Operation: 41-39=2
Current State: 55:[110, 2], Operations: ['67+43=110', '41-39=2']
Exploring Operation: 110/2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[67, 41, 43, 39], Operations: []
Exploring Operation: 41-39=2, Resulting Numbers: [67, 43, 2]
Generated Node #0,0: 55:[67, 43, 2] Operation: 41-39=2
Exploring Operation: 43-41=2, Resulting Numbers: [67, 39, 2]
Generated Node #0,1: 55:[67, 39, 2] Operation: 43-41=2
Exploring Operation: 43-39=4, Resulting Numbers: [67, 41, 4]
Generated Node #0,2: 55:[67, 41, 4] Operation: 43-39=4
Exploring Operation: 67-41=26, Resulting Numbers: [43, 39, 26]
Generated Node #0,3: 55:[43, 39, 26] Operation: 67-41=26
Exploring Operation: 67-43=24, Resulting Numbers: [41, 39, 24]
Generated Node #0,4: 55:[41, 39, 24] Operation: 67-43=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[67, 43, 2], Operations: ['41-39=2']
Exploring Operation: 43+2=45, Resulting Numbers: [67, 45]
Generated Node #0,0,0: 55:[67, 45] Operation: 43+2=45
Exploring Operation: 67+2=69, Resulting Numbers: [43, 69]
Generated Node #0,0,1: 55:[43, 69] Operation: 67+2=69
Exploring Operation: 67-2=65, Resulting Numbers: [43, 65]
Generated Node #0,0,2: 55:[43, 65] Operation: 67-2=65
Exploring Operation: 67-43=24, Resulting Numbers: [2, 24]
Generated Node #0,0,3: 55:[2, 24] Operation: 67-43=24
Exploring Operation: 43-2=41, Resulting Numbers: [67, 41]
Generated Node #0,0,4: 55:[67, 41] Operation: 43-2=41
Moving to Node #0,0,3
Current State: 55:[2, 24], Operations: ['41-39=2', '67-43=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,55 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,55 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,55 unequal: No Solution
Moving to Node #0,0,2
Current State: 55:[43, 65], Operations: ['41-39=2', '67-2=65']
Exploring Operation: 43+65=108, Resulting Numbers: [108]
108,55 unequal: No Solution
Exploring Operation: 65-43=22, Resulting Numbers: [22]
22,55 unequal: No Solution
Exploring Operation: 43*65=2795, Resulting Numbers: [2795]
2795,55 unequal: No Solution
Moving to Node #0,0,0
Current State: 55:[67, 45], Operations: ['41-39=2', '43+2=45']
Exploring Operation: 67+45=112, Resulting Numbers: [112]
112,55 unequal: No Solution
Exploring Operation: 67-45=22, Resulting Numbers: [22]
22,55 unequal: No Solution
Exploring Operation: 67*45=3015, Resulting Numbers: [3015]
3015,55 unequal: No Solution
Moving to Node #0,0,1
Current State: 55:[43, 69], Operations: ['41-39=2', '67+2=69']
Exploring Operation: 69-43=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Exploring Operation: 43+69=112, Resulting Numbers: [112]
112,55 unequal: No Solution
Exploring Operation: 43*69=2967, Resulting Numbers: [2967]
2967,55 unequal: No Solution
Moving to Node #0,0,4
Current State: 55:[67, 41], Operations: ['41-39=2', '43-2=41']
Exploring Operation: 67*41=2747, Resulting Numbers: [2747]
2747,55 unequal: No Solution
Exploring Operation: 67-41=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Exploring Operation: 67+41=108, Resulting Numbers: [108]
108,55 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 #0,2
Current State: 55:[67, 41, 4], Operations: ['43-39=4']
Exploring Operation: 67+4=71, Resulting Numbers: [41, 71]
Generated Node #0,2,0: 55:[41, 71] Operation: 67+4=71
Exploring Operation: 41+4=45, Resulting Numbers: [67, 45]
Generated Node #0,2,1: 55:[67, 45] Operation: 41+4=45
Exploring Operation: 41-4=37, Resulting Numbers: [67, 37]
Generated Node #0,2,2: 55:[67, 37] Operation: 41-4=37
Exploring Operation: 67-4=63, Resulting Numbers: [41, 63]
Generated Node #0,2,3: 55:[41, 63] Operation: 67-4=63
Exploring Operation: 67-41=26, Resulting Numbers: [4, 26]
Generated Node #0,2,4: 55:[4, 26] Operation: 67-41=26
Moving to Node #0,2,4
Current State: 55:[4, 26], Operations: ['43-39=4', '67-41=26']
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,55 unequal: No Solution
Exploring Operation: 4*26=104, Resulting Numbers: [104]
104,55 unequal: No Solution
Exploring Operation: 4+26=30, Resulting Numbers: [30]
30,55 unequal: No Solution
Moving to Node #0,2,3
Current State: 55:[41, 63], Operations: ['43-39=4', '67-4=63']
Exploring Operation: 41+63=104, Resulting Numbers: [104]
104,55 unequal: No Solution
Exploring Operation: 41*63=2583, Resulting Numbers: [2583]
2583,55 unequal: No Solution
Exploring Operation: 63-41=22, Resulting Numbers: [22]
22,55 unequal: No Solution
Moving to Node #0,2,1
Current State: 55:[67, 45], Operations: ['43-39=4', '41+4=45']
Exploring Operation: 67-45=22, Resulting Numbers: [22]
22,55 unequal: No Solution
Exploring Operation: 67*45=3015, Resulting Numbers: [3015]
3015,55 unequal: No Solution
Exploring Operation: 67+45=112, Resulting Numbers: [112]
112,55 unequal: No Solution
Moving to Node #0,2,0
Current State: 55:[41, 71], Operations: ['43-39=4', '67+4=71']
Exploring Operation: 41*71=2911, Resulting Numbers: [2911]
2911,55 unequal: No Solution
Exploring Operation: 71-41=30, Resulting Numbers: [30]
30,55 unequal: No Solution
Exploring Operation: 41+71=112, Resulting Numbers: [112]
112,55 unequal: No Solution
Moving to Node #0,2,2
Current State: 55:[67, 37], Operations: ['43-39=4', '41-4=37']
Exploring Operation: 67-37=30, Resulting Numbers: [30]
30,55 unequal: No Solution
Exploring Operation: 67*37=2479, Resulting Numbers: [2479]
2479,55 unequal: No Solution
Exploring Operation: 67+37=104, Resulting Numbers: [104]
104,55 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:[67, 39, 2], Operations: ['43-41=2']
Exploring Operation: 67-2=65, Resulting Numbers: [39, 65]
Generated Node #0,1,0: 55:[39, 65] Operation: 67-2=65
Exploring Operation: 67+2=69, Resulting Numbers: [39, 69]
Generated Node #0,1,1: 55:[39, 69] Operation: 67+2=69
Exploring Operation: 39+2=41, Resulting Numbers: [67, 41]
Generated Node #0,1,2: 55:[67, 41] Operation: 39+2=41
Exploring Operation: 39-2=37, Resulting Numbers: [67, 37]
Generated Node #0,1,3: 55:[67, 37] Operation: 39-2=37
Exploring Operation: 67-39=28, Resulting Numbers: [2, 28]
Generated Node #0,1,4: 55:[2, 28] Operation: 67-39=28
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 55:[2, 28], Operations: ['43-41=2', '67-39=28']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,55 unequal: No Solution
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,55 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,55 unequal: No Solution
No 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: 55:[39, 65], Operations: ['43-41=2', '67-2=65']
Exploring Operation: 65-39=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Exploring Operation: 39+65=104, Resulting Numbers: [104]
104,55 unequal: No Solution
Exploring Operation: 39*65=2535, Resulting Numbers: [2535]
2535,55 unequal: No Solution
No 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: 55:[67, 41], Operations: ['43-41=2', '39+2=41']
Exploring Operation: 67-41=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Exploring Operation: 67+41=108, Resulting Numbers: [108]
108,55 unequal: No Solution
Exploring Operation: 67*41=2747, Resulting Numbers: [2747]
2747,55 unequal: No Solution
No 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: 55:[39, 69], Operations: ['43-41=2', '67+2=69']
Exploring Operation: 39*69=2691, Resulting Numbers: [2691]
2691,55 unequal: No Solution
Exploring Operation: 39+69=108, Resulting Numbers: [108]
108,55 unequal: No Solution
Exploring Operation: 69-39=30, Resulting Numbers: [30]
30,55 unequal: No Solution
No 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: 55:[67, 37], Operations: ['43-41=2', '39-2=37']
Exploring Operation: 67*37=2479, Resulting Numbers: [2479]
2479,55 unequal: No Solution
Exploring Operation: 67+37=104, Resulting Numbers: [104]
104,55 unequal: No Solution
Exploring Operation: 67-37=30, Resulting Numbers: [30]
30,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 55:[43, 39, 26], Operations: ['67-41=26']
Exploring Operation: 39-26=13, Resulting Numbers: [43, 13]
Generated Node #0,3,0: 55:[43, 13] Operation: 39-26=13
Exploring Operation: 43-26=17, Resulting Numbers: [39, 17]
Generated Node #0,3,1: 55:[39, 17] Operation: 43-26=17
Exploring Operation: 43+26=69, Resulting Numbers: [39, 69]
Generated Node #0,3,2: 55:[39, 69] Operation: 43+26=69
Exploring Operation: 39+26=65, Resulting Numbers: [43, 65]
Generated Node #0,3,3: 55:[43, 65] Operation: 39+26=65
Exploring Operation: 43-39=4, Resulting Numbers: [26, 4]
Generated Node #0,3,4: 55:[26, 4] Operation: 43-39=4
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 55:[43, 13], Operations: ['67-41=26', '39-26=13']
Exploring Operation: 43+13=56, Resulting Numbers: [56]
56,55 unequal: No Solution
Exploring Operation: 43-13=30, Resulting Numbers: [30]
30,55 unequal: No Solution
Exploring Operation: 43*13=559, Resulting Numbers: [559]
559,55 unequal: No Solution
No 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: 55:[26, 4], Operations: ['67-41=26', '43-39=4']
Exploring Operation: 26*4=104, Resulting Numbers: [104]
104,55 unequal: No Solution
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,55 unequal: No Solution
Exploring Operation: 26+4=30, Resulting Numbers: [30]
30,55 unequal: No Solution
No 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: 55:[39, 17], Operations: ['67-41=26', '43-26=17']
Exploring Operation: 39*17=663, Resulting Numbers: [663]
663,55 unequal: No Solution
Exploring Operation: 39+17=56, Resulting Numbers: [56]
56,55 unequal: No Solution
Exploring Operation: 39-17=22, Resulting Numbers: [22]
22,55 unequal: No Solution
No 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: 55:[43, 65], Operations: ['67-41=26', '39+26=65']
Exploring Operation: 43+65=108, Resulting Numbers: [108]
108,55 unequal: No Solution
Exploring Operation: 65-43=22, Resulting Numbers: [22]
22,55 unequal: No Solution
Exploring Operation: 43*65=2795, Resulting Numbers: [2795]
2795,55 unequal: No Solution
No 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: 55:[39, 69], Operations: ['67-41=26', '43+26=69']
Exploring Operation: 39*69=2691, Resulting Numbers: [2691]
2691,55 unequal: No Solution
Exploring Operation: 39+69=108, Resulting Numbers: [108]
108,55 unequal: No Solution
Exploring Operation: 69-39=30, Resulting Numbers: [30]
30,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 55:[41, 39, 24], Operations: ['67-43=24']
Exploring Operation: 39+24=63, Resulting Numbers: [41, 63]
Generated Node #0,4,0: 55:[41, 63] Operation: 39+24=63
Exploring Operation: 41-24=17, Resulting Numbers: [39, 17]
Generated Node #0,4,1: 55:[39, 17] Operation: 41-24=17
Exploring Operation: 41-39=2, Resulting Numbers: [24, 2]
Generated Node #0,4,2: 55:[24, 2] Operation: 41-39=2
Exploring Operation: 39-24=15, Resulting Numbers: [41, 15]
Generated Node #0,4,3: 55:[41, 15] Operation: 39-24=15
Exploring Operation: 41+24=65, Resulting Numbers: [39, 65]
Generated Node #0,4,4: 55:[39, 65] Operation: 41+24=65
Moving to Node #0,4,2
Current State: 55:[24, 2], Operations: ['67-43=24', '41-39=2']
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,55 unequal: No Solution
Exploring Operation: 24*2=48, Resulting Numbers: [48]
48,55 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,55 unequal: No Solution
Moving to Node #0,4,3
Current State: 55:[41, 15], Operations: ['67-43=24', '39-24=15']
Exploring Operation: 41+15=56, Resulting Numbers: [56]
56,55 unequal: No Solution
Exploring Operation: 41*15=615, Resulting Numbers: [615]
615,55 unequal: No Solution
Exploring Operation: 41-15=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Moving to Node #0,4,0
Current State: 55:[41, 63], Operations: ['67-43=24', '39+24=63']
Exploring Operation: 41+63=104, Resulting Numbers: [104]
104,55 unequal: No Solution
Exploring Operation: 63-41=22, Resulting Numbers: [22]
22,55 unequal: No Solution
Exploring Operation: 41*63=2583, Resulting Numbers: [2583]
2583,55 unequal: No Solution
Moving to Node #0,4,1
Current State: 55:[39, 17], Operations: ['67-43=24', '41-24=17']
Exploring Operation: 39+17=56, Resulting Numbers: [56]
56,55 unequal: No Solution
Exploring Operation: 39*17=663, Resulting Numbers: [663]
663,55 unequal: No Solution
Exploring Operation: 39-17=22, Resulting Numbers: [22]
22,55 unequal: No Solution
Moving to Node #0,4,4
Current State: 55:[39, 65], Operations: ['67-43=24', '41+24=65']
Exploring Operation: 39*65=2535, Resulting Numbers: [2535]
2535,55 unequal: No Solution
Exploring Operation: 65-39=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Exploring Operation: 39+65=104, Resulting Numbers: [104]
104,55 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 |
[
25,
40,
63,
53
] | 16 | [
"63-53=10",
"40*10=400",
"400/25=16"
] | Current State: 16:[25, 40, 63, 53], Operations: []
Exploring Operation: 63-53=10, Resulting Numbers: [25, 40, 10]
Generated Node #2: [25, 40, 10] from Operation: 63-53=10
Current State: 16:[25, 40, 10], Operations: ['63-53=10']
Exploring Operation: 40*10=400, Resulting Numbers: [25, 400]
Generated Node #3: [25, 400] from Operation: 40*10=400
Current State: 16:[25, 400], Operations: ['63-53=10', '40*10=400']
Exploring Operation: 400/25=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[25, 40, 63, 53], Operations: []
Exploring Operation: 63-53=10, Resulting Numbers: [25, 40, 10]
Generated Node #0,0: 16:[25, 40, 10] Operation: 63-53=10
Exploring Operation: 63-40=23, Resulting Numbers: [25, 53, 23]
Generated Node #0,1: 16:[25, 53, 23] Operation: 63-40=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[25, 40, 10], Operations: ['63-53=10']
Exploring Operation: 40/10=4, Resulting Numbers: [25, 4]
Generated Node #0,0,0: 16:[25, 4] Operation: 40/10=4
Exploring Operation: 40-25=15, Resulting Numbers: [10, 15]
Generated Node #0,0,1: 16:[10, 15] Operation: 40-25=15
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 16:[10, 15], Operations: ['63-53=10', '40-25=15']
Exploring Operation: 10+15=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,16 unequal: No Solution
No 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: 16:[25, 4], Operations: ['63-53=10', '40/10=4']
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,16 unequal: No Solution
Exploring Operation: 25+4=29, Resulting Numbers: [29]
29,16 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: 16:[25, 53, 23], Operations: ['63-40=23']
Exploring Operation: 53-23=30, Resulting Numbers: [25, 30]
Generated Node #0,1,0: 16:[25, 30] Operation: 53-23=30
Exploring Operation: 53-25=28, Resulting Numbers: [23, 28]
Generated Node #0,1,1: 16:[23, 28] Operation: 53-25=28
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 16:[23, 28], Operations: ['63-40=23', '53-25=28']
Exploring Operation: 28-23=5, Resulting Numbers: [5]
5,16 unequal: No Solution
Exploring Operation: 23+28=51, Resulting Numbers: [51]
51,16 unequal: No Solution
No 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: 16:[25, 30], Operations: ['63-40=23', '53-23=30']
Exploring Operation: 25+30=55, Resulting Numbers: [55]
55,16 unequal: No Solution
Exploring Operation: 30-25=5, Resulting Numbers: [5]
5,16 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 |
[
3,
25,
9,
54
] | 40 | [
"54-9=45",
"45/3=15",
"25+15=40"
] | Current State: 40:[3, 25, 9, 54], Operations: []
Exploring Operation: 54-9=45, Resulting Numbers: [3, 25, 45]
Generated Node #2: [3, 25, 45] from Operation: 54-9=45
Current State: 40:[3, 25, 45], Operations: ['54-9=45']
Exploring Operation: 45/3=15, Resulting Numbers: [25, 15]
Generated Node #3: [25, 15] from Operation: 45/3=15
Current State: 40:[25, 15], Operations: ['54-9=45', '45/3=15']
Exploring Operation: 25+15=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[3, 25, 9, 54], Operations: []
Exploring Operation: 54/9=6, Resulting Numbers: [3, 25, 6]
Generated Node #0,0: 40:[3, 25, 6] Operation: 54/9=6
Exploring Operation: 54/3=18, Resulting Numbers: [25, 9, 18]
Generated Node #0,1: 40:[25, 9, 18] Operation: 54/3=18
Moving to Node #0,0
Current State: 40:[3, 25, 6], Operations: ['54/9=6']
Exploring Operation: 25-3=22, Resulting Numbers: [6, 22]
Generated Node #0,0,0: 40:[6, 22] Operation: 25-3=22
Exploring Operation: 25-6=19, Resulting Numbers: [3, 19]
Generated Node #0,0,1: 40:[3, 19] Operation: 25-6=19
Moving to Node #0,1
Current State: 40:[25, 9, 18], Operations: ['54/3=18']
Exploring Operation: 25-18=7, Resulting Numbers: [9, 7]
Generated Node #0,1,0: 40:[9, 7] Operation: 25-18=7
Exploring Operation: 25+18=43, Resulting Numbers: [9, 43]
Generated Node #0,1,1: 40:[9, 43] Operation: 25+18=43
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 40:[9, 7], Operations: ['54/3=18', '25-18=7']
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,40 unequal: No Solution
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,40 unequal: No Solution
No 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: 40:[9, 43], Operations: ['54/3=18', '25+18=43']
Exploring Operation: 43-9=34, Resulting Numbers: [34]
34,40 unequal: No Solution
Exploring Operation: 9+43=52, Resulting Numbers: [52]
52,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 40:[3, 19], Operations: ['54/9=6', '25-6=19']
Exploring Operation: 3+19=22, Resulting Numbers: [22]
22,40 unequal: No Solution
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,40 unequal: No Solution
Moving to Node #0,0,0
Current State: 40:[6, 22], Operations: ['54/9=6', '25-3=22']
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,40 unequal: No Solution
Exploring Operation: 6+22=28, Resulting Numbers: [28]
28,40 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
10,
26,
20,
6
] | 14 | [
"10+26=36",
"36/6=6",
"20-6=14"
] | Current State: 14:[10, 26, 20, 6], Operations: []
Exploring Operation: 10+26=36, Resulting Numbers: [20, 6, 36]
Generated Node #2: [20, 6, 36] from Operation: 10+26=36
Current State: 14:[20, 6, 36], Operations: ['10+26=36']
Exploring Operation: 36/6=6, Resulting Numbers: [20, 6]
Generated Node #3: [20, 6] from Operation: 36/6=6
Current State: 14:[20, 6], Operations: ['10+26=36', '36/6=6']
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[10, 26, 20, 6], Operations: []
Exploring Operation: 26-20=6, Resulting Numbers: [10, 6, 6]
Generated Node #0,0: 14:[10, 6, 6] Operation: 26-20=6
Moving to Node #0,0
Current State: 14:[10, 6, 6], Operations: ['26-20=6']
Exploring Operation: 10+6=16, Resulting Numbers: [6, 16]
Generated Node #0,0,0: 14:[6, 16] Operation: 10+6=16
Moving to Node #0,0,0
Current State: 14:[6, 16], Operations: ['26-20=6', '10+6=16']
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,14 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
54,
8,
96,
74
] | 64 | [
"74-54=20",
"8*20=160",
"160-96=64"
] | Current State: 64:[54, 8, 96, 74], Operations: []
Exploring Operation: 74-54=20, Resulting Numbers: [8, 96, 20]
Generated Node #2: [8, 96, 20] from Operation: 74-54=20
Current State: 64:[8, 96, 20], Operations: ['74-54=20']
Exploring Operation: 8*20=160, Resulting Numbers: [96, 160]
Generated Node #3: [96, 160] from Operation: 8*20=160
Current State: 64:[96, 160], Operations: ['74-54=20', '8*20=160']
Exploring Operation: 160-96=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[54, 8, 96, 74], Operations: []
Exploring Operation: 96-54=42, Resulting Numbers: [8, 74, 42]
Generated Node #0,0: 64:[8, 74, 42] Operation: 96-54=42
Exploring Operation: 96-74=22, Resulting Numbers: [54, 8, 22]
Generated Node #0,1: 64:[54, 8, 22] Operation: 96-74=22
Moving to Node #0,1
Current State: 64:[54, 8, 22], Operations: ['96-74=22']
Exploring Operation: 54-22=32, Resulting Numbers: [8, 32]
Generated Node #0,1,0: 64:[8, 32] Operation: 54-22=32
Exploring Operation: 54+8=62, Resulting Numbers: [22, 62]
Generated Node #0,1,1: 64:[22, 62] Operation: 54+8=62
Moving to Node #0,0
Current State: 64:[8, 74, 42], Operations: ['96-54=42']
Exploring Operation: 74-8=66, Resulting Numbers: [42, 66]
Generated Node #0,0,0: 64:[42, 66] Operation: 74-8=66
Exploring Operation: 74-42=32, Resulting Numbers: [8, 32]
Generated Node #0,0,1: 64:[8, 32] Operation: 74-42=32
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 64:[8, 32], Operations: ['96-54=42', '74-42=32']
Exploring Operation: 8+32=40, Resulting Numbers: [40]
40,64 unequal: No Solution
Exploring Operation: 32/8=4, Resulting Numbers: [4]
4,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 64:[42, 66], Operations: ['96-54=42', '74-8=66']
Exploring Operation: 66-42=24, Resulting Numbers: [24]
24,64 unequal: No Solution
Exploring Operation: 42+66=108, Resulting Numbers: [108]
108,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 64:[8, 32], Operations: ['96-74=22', '54-22=32']
Exploring Operation: 32/8=4, Resulting Numbers: [4]
4,64 unequal: No Solution
Exploring Operation: 8+32=40, Resulting Numbers: [40]
40,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[22, 62], Operations: ['96-74=22', '54+8=62']
Exploring Operation: 22+62=84, Resulting Numbers: [84]
84,64 unequal: No Solution
Exploring Operation: 62-22=40, Resulting Numbers: [40]
40,64 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
81,
2,
92,
12
] | 47 | [
"81+12=93",
"92/2=46",
"93-46=47"
] | Current State: 47:[81, 2, 92, 12], Operations: []
Exploring Operation: 81+12=93, Resulting Numbers: [2, 92, 93]
Generated Node #2: [2, 92, 93] from Operation: 81+12=93
Current State: 47:[2, 92, 93], Operations: ['81+12=93']
Exploring Operation: 92/2=46, Resulting Numbers: [93, 46]
Generated Node #3: [93, 46] from Operation: 92/2=46
Current State: 47:[93, 46], Operations: ['81+12=93', '92/2=46']
Exploring Operation: 93-46=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[81, 2, 92, 12], Operations: []
Exploring Operation: 92/2=46, Resulting Numbers: [81, 12, 46]
Generated Node #0,0: 47:[81, 12, 46] Operation: 92/2=46
Exploring Operation: 2*12=24, Resulting Numbers: [81, 92, 24]
Generated Node #0,1: 47:[81, 92, 24] Operation: 2*12=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[81, 12, 46], Operations: ['92/2=46']
Exploring Operation: 12+46=58, Resulting Numbers: [81, 58]
Generated Node #0,0,0: 47:[81, 58] Operation: 12+46=58
Exploring Operation: 81-12=69, Resulting Numbers: [46, 69]
Generated Node #0,0,1: 47:[46, 69] Operation: 81-12=69
Moving to Node #0,0,1
Current State: 47:[46, 69], Operations: ['92/2=46', '81-12=69']
Exploring Operation: 69-46=23, Resulting Numbers: [23]
23,47 unequal: No Solution
Exploring Operation: 46+69=115, Resulting Numbers: [115]
115,47 unequal: No Solution
Moving to Node #0,0,0
Current State: 47:[81, 58], Operations: ['92/2=46', '12+46=58']
Exploring Operation: 81+58=139, Resulting Numbers: [139]
139,47 unequal: No Solution
Exploring Operation: 81-58=23, Resulting Numbers: [23]
23,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[81, 92, 24], Operations: ['2*12=24']
Exploring Operation: 81-24=57, Resulting Numbers: [92, 57]
Generated Node #0,1,0: 47:[92, 57] Operation: 81-24=57
Exploring Operation: 92-24=68, Resulting Numbers: [81, 68]
Generated Node #0,1,1: 47:[81, 68] Operation: 92-24=68
Moving to Node #0,1,0
Current State: 47:[92, 57], Operations: ['2*12=24', '81-24=57']
Exploring Operation: 92+57=149, Resulting Numbers: [149]
149,47 unequal: No Solution
Exploring Operation: 92-57=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Moving to Node #0,1,1
Current State: 47:[81, 68], Operations: ['2*12=24', '92-24=68']
Exploring Operation: 81-68=13, Resulting Numbers: [13]
13,47 unequal: No Solution
Exploring Operation: 81+68=149, Resulting Numbers: [149]
149,47 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 |
[
32,
73,
96,
6
] | 89 | [
"32+73=105",
"96/6=16",
"105-16=89"
] | Current State: 89:[32, 73, 96, 6], Operations: []
Exploring Operation: 32+73=105, Resulting Numbers: [96, 6, 105]
Generated Node #2: [96, 6, 105] from Operation: 32+73=105
Current State: 89:[96, 6, 105], Operations: ['32+73=105']
Exploring Operation: 96/6=16, Resulting Numbers: [105, 16]
Generated Node #3: [105, 16] from Operation: 96/6=16
Current State: 89:[105, 16], Operations: ['32+73=105', '96/6=16']
Exploring Operation: 105-16=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[32, 73, 96, 6], Operations: []
Exploring Operation: 96-6=90, Resulting Numbers: [32, 73, 90]
Generated Node #0,0: 89:[32, 73, 90] Operation: 96-6=90
Exploring Operation: 73+6=79, Resulting Numbers: [32, 96, 79]
Generated Node #0,1: 89:[32, 96, 79] Operation: 73+6=79
Exploring Operation: 32+6=38, Resulting Numbers: [73, 96, 38]
Generated Node #0,2: 89:[73, 96, 38] Operation: 32+6=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[32, 73, 90], Operations: ['96-6=90']
Exploring Operation: 32+73=105, Resulting Numbers: [90, 105]
Generated Node #0,0,0: 89:[90, 105] Operation: 32+73=105
Exploring Operation: 73-32=41, Resulting Numbers: [90, 41]
Generated Node #0,0,1: 89:[90, 41] Operation: 73-32=41
Exploring Operation: 90-32=58, Resulting Numbers: [73, 58]
Generated Node #0,0,2: 89:[73, 58] Operation: 90-32=58
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 89:[90, 105], Operations: ['96-6=90', '32+73=105']
Exploring Operation: 105-90=15, Resulting Numbers: [15]
15,89 unequal: No Solution
Exploring Operation: 90*105=9450, Resulting Numbers: [9450]
9450,89 unequal: No Solution
Exploring Operation: 90+105=195, Resulting Numbers: [195]
195,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 89:[73, 58], Operations: ['96-6=90', '90-32=58']
Exploring Operation: 73-58=15, Resulting Numbers: [15]
15,89 unequal: No Solution
Exploring Operation: 73+58=131, Resulting Numbers: [131]
131,89 unequal: No Solution
Exploring Operation: 73*58=4234, Resulting Numbers: [4234]
4234,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 89:[90, 41], Operations: ['96-6=90', '73-32=41']
Exploring Operation: 90*41=3690, Resulting Numbers: [3690]
3690,89 unequal: No Solution
Exploring Operation: 90+41=131, Resulting Numbers: [131]
131,89 unequal: No Solution
Exploring Operation: 90-41=49, Resulting Numbers: [49]
49,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 89:[32, 96, 79], Operations: ['73+6=79']
Exploring Operation: 32+96=128, Resulting Numbers: [79, 128]
Generated Node #0,1,0: 89:[79, 128] Operation: 32+96=128
Exploring Operation: 32+79=111, Resulting Numbers: [96, 111]
Generated Node #0,1,1: 89:[96, 111] Operation: 32+79=111
Exploring Operation: 96-32=64, Resulting Numbers: [79, 64]
Generated Node #0,1,2: 89:[79, 64] Operation: 96-32=64
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 89:[96, 111], Operations: ['73+6=79', '32+79=111']
Exploring Operation: 111-96=15, Resulting Numbers: [15]
15,89 unequal: No Solution
Exploring Operation: 96*111=10656, Resulting Numbers: [10656]
10656,89 unequal: No Solution
Exploring Operation: 96+111=207, Resulting Numbers: [207]
207,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 89:[79, 64], Operations: ['73+6=79', '96-32=64']
Exploring Operation: 79+64=143, Resulting Numbers: [143]
143,89 unequal: No Solution
Exploring Operation: 79-64=15, Resulting Numbers: [15]
15,89 unequal: No Solution
Exploring Operation: 79*64=5056, Resulting Numbers: [5056]
5056,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 89:[79, 128], Operations: ['73+6=79', '32+96=128']
Exploring Operation: 79+128=207, Resulting Numbers: [207]
207,89 unequal: No Solution
Exploring Operation: 79*128=10112, Resulting Numbers: [10112]
10112,89 unequal: No Solution
Exploring Operation: 128-79=49, Resulting Numbers: [49]
49,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 89:[73, 96, 38], Operations: ['32+6=38']
Exploring Operation: 73+38=111, Resulting Numbers: [96, 111]
Generated Node #0,2,0: 89:[96, 111] Operation: 73+38=111
Exploring Operation: 73-38=35, Resulting Numbers: [96, 35]
Generated Node #0,2,1: 89:[96, 35] Operation: 73-38=35
Exploring Operation: 96-38=58, Resulting Numbers: [73, 58]
Generated Node #0,2,2: 89:[73, 58] Operation: 96-38=58
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 89:[96, 111], Operations: ['32+6=38', '73+38=111']
Exploring Operation: 111-96=15, Resulting Numbers: [15]
15,89 unequal: No Solution
Exploring Operation: 96+111=207, Resulting Numbers: [207]
207,89 unequal: No Solution
Exploring Operation: 96*111=10656, Resulting Numbers: [10656]
10656,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 89:[73, 58], Operations: ['32+6=38', '96-38=58']
Exploring Operation: 73-58=15, Resulting Numbers: [15]
15,89 unequal: No Solution
Exploring Operation: 73+58=131, Resulting Numbers: [131]
131,89 unequal: No Solution
Exploring Operation: 73*58=4234, Resulting Numbers: [4234]
4234,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 89:[96, 35], Operations: ['32+6=38', '73-38=35']
Exploring Operation: 96+35=131, Resulting Numbers: [131]
131,89 unequal: No Solution
Exploring Operation: 96-35=61, Resulting Numbers: [61]
61,89 unequal: No Solution
Exploring Operation: 96*35=3360, Resulting Numbers: [3360]
3360,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
63,
63,
21,
2
] | 30 | [
"63/21=3",
"63-3=60",
"60/2=30"
] | Current State: 30:[63, 63, 21, 2], Operations: []
Exploring Operation: 63/21=3, Resulting Numbers: [2, 3]
Generated Node #2: [2, 3] from Operation: 63/21=3
Current State: 30:[2, 3], Operations: ['63/21=3']
Exploring Operation: 63-3=60, Resulting Numbers: [2, 60]
Generated Node #3: [2, 60] from Operation: 63-3=60
Current State: 30:[2, 60], Operations: ['63/21=3', '63-3=60']
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[63, 63, 21, 2], Operations: []
Exploring Operation: 63/21=3, Resulting Numbers: [63, 2, 3]
Generated Node #0,0: 30:[63, 2, 3] Operation: 63/21=3
Exploring Operation: 63/63=1, Resulting Numbers: [21, 2, 1]
Generated Node #0,1: 30:[21, 2, 1] Operation: 63/63=1
Exploring Operation: 63-63=0, Resulting Numbers: [21, 2, 0]
Generated Node #0,2: 30:[21, 2, 0] Operation: 63-63=0
Moving to Node #0,1
Current State: 30:[21, 2, 1], Operations: ['63/63=1']
Exploring Operation: 21*1=21, Resulting Numbers: [2, 21]
Generated Node #0,1,0: 30:[2, 21] Operation: 21*1=21
Exploring Operation: 21-2=19, Resulting Numbers: [1, 19]
Generated Node #0,1,1: 30:[1, 19] Operation: 21-2=19
Exploring Operation: 21-1=20, Resulting Numbers: [2, 20]
Generated Node #0,1,2: 30:[2, 20] Operation: 21-1=20
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 30:[1, 19], Operations: ['63/63=1', '21-2=19']
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,30 unequal: No Solution
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,30 unequal: No Solution
Exploring Operation: 1*19=19, Resulting Numbers: [19]
19,30 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 #0,1,2
Current State: 30:[2, 20], Operations: ['63/63=1', '21-1=20']
Exploring Operation: 2+20=22, Resulting Numbers: [22]
22,30 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,30 unequal: No Solution
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,30 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 #0,1,0
Current State: 30:[2, 21], Operations: ['63/63=1', '21*1=21']
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,30 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,30 unequal: No Solution
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,30 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: 30:[21, 2, 0], Operations: ['63-63=0']
Exploring Operation: 21-2=19, Resulting Numbers: [0, 19]
Generated Node #0,2,0: 30:[0, 19] Operation: 21-2=19
Exploring Operation: 21*0=0, Resulting Numbers: [2, 0]
Generated Node #0,2,1: 30:[2, 0] Operation: 21*0=0
Exploring Operation: 21+0=21, Resulting Numbers: [2, 21]
Generated Node #0,2,2: 30:[2, 21] Operation: 21+0=21
Moving to Node #0,0
Current State: 30:[63, 2, 3], Operations: ['63/21=3']
Exploring Operation: 63/3=21, Resulting Numbers: [2, 21]
Generated Node #0,0,0: 30:[2, 21] Operation: 63/3=21
Exploring Operation: 63-2=61, Resulting Numbers: [3, 61]
Generated Node #0,0,1: 30:[3, 61] Operation: 63-2=61
Exploring Operation: 63-3=60, Resulting Numbers: [2, 60]
Generated Node #0,0,2: 30:[2, 60] Operation: 63-3=60
Moving to Node #0,2,1
Current State: 30:[2, 0], Operations: ['63-63=0', '21*0=0']
Exploring Operation: 2-0=2, Resulting Numbers: [2]
2,30 unequal: No Solution
Exploring Operation: 2*0=0, Resulting Numbers: [0]
0,30 unequal: No Solution
Exploring Operation: 2+0=2, Resulting Numbers: [2]
2,30 unequal: No Solution
Moving to Node #0,2,2
Current State: 30:[2, 21], Operations: ['63-63=0', '21+0=21']
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,30 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,30 unequal: No Solution
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,30 unequal: No Solution
Moving to Node #0,2,0
Current State: 30:[0, 19], Operations: ['63-63=0', '21-2=19']
Exploring Operation: 0+19=19, Resulting Numbers: [19]
19,30 unequal: No Solution
Exploring Operation: 19-0=19, Resulting Numbers: [19]
19,30 unequal: No Solution
Exploring Operation: 0*19=0, Resulting Numbers: [0]
0,30 unequal: No Solution
Moving to Node #0,0,0
Current State: 30:[2, 21], Operations: ['63/21=3', '63/3=21']
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,30 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,30 unequal: No Solution
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,30 unequal: No Solution
Moving to Node #0,0,2
Current State: 30:[2, 60], Operations: ['63/21=3', '63-3=60']
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[63, 63, 21, 2], Operations: []
Exploring Operation: 63/21=3, Resulting Numbers: [63, 2, 3]
Generated Node #0,0: 30:[63, 2, 3] Operation: 63/21=3
Moving to Node #0,0
Current State: 30:[63, 2, 3], Operations: ['63/21=3']
Exploring Operation: 63-3=60, Resulting Numbers: [2, 60]
Generated Node #0,0,2: 30:[2, 60] Operation: 63-3=60
Moving to Node #0,0,2
Current State: 30:[2, 60], Operations: ['63/21=3', '63-3=60']
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 0.967014 | hs_3 | mult_heuristic |
[
11,
47,
55,
63
] | 15 | [
"47+55=102",
"63+102=165",
"165/11=15"
] | Current State: 15:[11, 47, 55, 63], Operations: []
Exploring Operation: 47+55=102, Resulting Numbers: [11, 63, 102]
Generated Node #2: [11, 63, 102] from Operation: 47+55=102
Current State: 15:[11, 63, 102], Operations: ['47+55=102']
Exploring Operation: 63+102=165, Resulting Numbers: [11, 165]
Generated Node #3: [11, 165] from Operation: 63+102=165
Current State: 15:[11, 165], Operations: ['47+55=102', '63+102=165']
Exploring Operation: 165/11=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[11, 47, 55, 63], Operations: []
Exploring Operation: 63-55=8, Resulting Numbers: [11, 47, 8]
Generated Node #0,0: 15:[11, 47, 8] Operation: 63-55=8
Exploring Operation: 63-47=16, Resulting Numbers: [11, 55, 16]
Generated Node #0,1: 15:[11, 55, 16] Operation: 63-47=16
Moving to Node #0,0
Current State: 15:[11, 47, 8], Operations: ['63-55=8']
Exploring Operation: 47-11=36, Resulting Numbers: [8, 36]
Generated Node #0,0,0: 15:[8, 36] Operation: 47-11=36
Exploring Operation: 47-8=39, Resulting Numbers: [11, 39]
Generated Node #0,0,1: 15:[11, 39] Operation: 47-8=39
Moving to Node #0,1
Current State: 15:[11, 55, 16], Operations: ['63-47=16']
Exploring Operation: 55/11=5, Resulting Numbers: [16, 5]
Generated Node #0,1,0: 15:[16, 5] Operation: 55/11=5
Exploring Operation: 55-16=39, Resulting Numbers: [11, 39]
Generated Node #0,1,1: 15:[11, 39] Operation: 55-16=39
Moving to Node #0,1,0
Current State: 15:[16, 5], Operations: ['63-47=16', '55/11=5']
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,15 unequal: No Solution
Exploring Operation: 16+5=21, Resulting Numbers: [21]
21,15 unequal: No Solution
Moving to Node #0,0,0
Current State: 15:[8, 36], Operations: ['63-55=8', '47-11=36']
Exploring Operation: 36-8=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Exploring Operation: 8+36=44, Resulting Numbers: [44]
44,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[11, 39], Operations: ['63-55=8', '47-8=39']
Exploring Operation: 39-11=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Exploring Operation: 11+39=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Moving to Node #0,1,1
Current State: 15:[11, 39], Operations: ['63-47=16', '55-16=39']
Exploring Operation: 39-11=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Exploring Operation: 11+39=50, Resulting Numbers: [50]
50,15 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
3,
67,
32,
5
] | 74 | [
"3+32=35",
"35/5=7",
"67+7=74"
] | Current State: 74:[3, 67, 32, 5], Operations: []
Exploring Operation: 3+32=35, Resulting Numbers: [67, 5, 35]
Generated Node #2: [67, 5, 35] from Operation: 3+32=35
Current State: 74:[67, 5, 35], Operations: ['3+32=35']
Exploring Operation: 35/5=7, Resulting Numbers: [67, 7]
Generated Node #3: [67, 7] from Operation: 35/5=7
Current State: 74:[67, 7], Operations: ['3+32=35', '35/5=7']
Exploring Operation: 67+7=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[3, 67, 32, 5], Operations: []
Exploring Operation: 32+5=37, Resulting Numbers: [3, 67, 37]
Generated Node #0,0: 74:[3, 67, 37] Operation: 32+5=37
Exploring Operation: 67+5=72, Resulting Numbers: [3, 32, 72]
Generated Node #0,1: 74:[3, 32, 72] Operation: 67+5=72
Exploring Operation: 3+67=70, Resulting Numbers: [32, 5, 70]
Generated Node #0,2: 74:[32, 5, 70] Operation: 3+67=70
Exploring Operation: 67-32=35, Resulting Numbers: [3, 5, 35]
Generated Node #0,3: 74:[3, 5, 35] Operation: 67-32=35
Exploring Operation: 3+32=35, Resulting Numbers: [67, 5, 35]
Generated Node #0,4: 74:[67, 5, 35] Operation: 3+32=35
Start Sub Search at level 1: Moving to Node #0,3
Current State: 74:[3, 5, 35], Operations: ['67-32=35']
Exploring Operation: 5+35=40, Resulting Numbers: [3, 40]
Generated Node #0,3,0: 74:[3, 40] Operation: 5+35=40
Exploring Operation: 3+35=38, Resulting Numbers: [5, 38]
Generated Node #0,3,1: 74:[5, 38] Operation: 3+35=38
Exploring Operation: 35/5=7, Resulting Numbers: [3, 7]
Generated Node #0,3,2: 74:[3, 7] Operation: 35/5=7
Exploring Operation: 5-3=2, Resulting Numbers: [35, 2]
Generated Node #0,3,3: 74:[35, 2] Operation: 5-3=2
Exploring Operation: 3+5=8, Resulting Numbers: [35, 8]
Generated Node #0,3,4: 74:[35, 8] Operation: 3+5=8
Moving to Node #0,3,3
Current State: 74:[35, 2], Operations: ['67-32=35', '5-3=2']
Exploring Operation: 35+2=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,74 unequal: No Solution
Exploring Operation: 35*2=70, Resulting Numbers: [70]
70,74 unequal: No Solution
Moving to Node #0,3,1
Current State: 74:[5, 38], Operations: ['67-32=35', '3+35=38']
Exploring Operation: 5+38=43, Resulting Numbers: [43]
43,74 unequal: No Solution
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,74 unequal: No Solution
Exploring Operation: 5*38=190, Resulting Numbers: [190]
190,74 unequal: No Solution
Moving to Node #0,3,0
Current State: 74:[3, 40], Operations: ['67-32=35', '5+35=40']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Exploring Operation: 3*40=120, Resulting Numbers: [120]
120,74 unequal: No Solution
Exploring Operation: 3+40=43, Resulting Numbers: [43]
43,74 unequal: No Solution
Moving to Node #0,3,2
Current State: 74:[3, 7], Operations: ['67-32=35', '35/5=7']
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,74 unequal: No Solution
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,74 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,74 unequal: No Solution
Moving to Node #0,3,4
Current State: 74:[35, 8], Operations: ['67-32=35', '3+5=8']
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,74 unequal: No Solution
Exploring Operation: 35+8=43, Resulting Numbers: [43]
43,74 unequal: No Solution
Exploring Operation: 35*8=280, Resulting Numbers: [280]
280,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[3, 67, 37], Operations: ['32+5=37']
Exploring Operation: 37-3=34, Resulting Numbers: [67, 34]
Generated Node #0,0,0: 74:[67, 34] Operation: 37-3=34
Exploring Operation: 3+37=40, Resulting Numbers: [67, 40]
Generated Node #0,0,1: 74:[67, 40] Operation: 3+37=40
Exploring Operation: 3+67=70, Resulting Numbers: [37, 70]
Generated Node #0,0,2: 74:[37, 70] Operation: 3+67=70
Exploring Operation: 67-37=30, Resulting Numbers: [3, 30]
Generated Node #0,0,3: 74:[3, 30] Operation: 67-37=30
Exploring Operation: 67-3=64, Resulting Numbers: [37, 64]
Generated Node #0,0,4: 74:[37, 64] Operation: 67-3=64
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 74:[37, 70], Operations: ['32+5=37', '3+67=70']
Exploring Operation: 70-37=33, Resulting Numbers: [33]
33,74 unequal: No Solution
Exploring Operation: 37+70=107, Resulting Numbers: [107]
107,74 unequal: No Solution
Exploring Operation: 37*70=2590, Resulting Numbers: [2590]
2590,74 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 #0,0,3
Current State: 74:[3, 30], Operations: ['32+5=37', '67-37=30']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,74 unequal: No Solution
Exploring Operation: 3*30=90, Resulting Numbers: [90]
90,74 unequal: No Solution
Exploring Operation: 3+30=33, Resulting Numbers: [33]
33,74 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 74:[67, 34], Operations: ['32+5=37', '37-3=34']
Exploring Operation: 67+34=101, Resulting Numbers: [101]
101,74 unequal: No Solution
Exploring Operation: 67-34=33, Resulting Numbers: [33]
33,74 unequal: No Solution
Exploring Operation: 67*34=2278, Resulting Numbers: [2278]
2278,74 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 #0,0,1
Current State: 74:[67, 40], Operations: ['32+5=37', '3+37=40']
Exploring Operation: 67-40=27, Resulting Numbers: [27]
27,74 unequal: No Solution
Exploring Operation: 67+40=107, Resulting Numbers: [107]
107,74 unequal: No Solution
Exploring Operation: 67*40=2680, Resulting Numbers: [2680]
2680,74 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 #0,0,4
Current State: 74:[37, 64], Operations: ['32+5=37', '67-3=64']
Exploring Operation: 37+64=101, Resulting Numbers: [101]
101,74 unequal: No Solution
Exploring Operation: 64-37=27, Resulting Numbers: [27]
27,74 unequal: No Solution
Exploring Operation: 37*64=2368, Resulting Numbers: [2368]
2368,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[3, 32, 72], Operations: ['67+5=72']
Exploring Operation: 3+32=35, Resulting Numbers: [72, 35]
Generated Node #0,1,0: 74:[72, 35] Operation: 3+32=35
Exploring Operation: 32-3=29, Resulting Numbers: [72, 29]
Generated Node #0,1,1: 74:[72, 29] Operation: 32-3=29
Exploring Operation: 72-3=69, Resulting Numbers: [32, 69]
Generated Node #0,1,2: 74:[32, 69] Operation: 72-3=69
Exploring Operation: 72-32=40, Resulting Numbers: [3, 40]
Generated Node #0,1,3: 74:[3, 40] Operation: 72-32=40
Exploring Operation: 3+72=75, Resulting Numbers: [32, 75]
Generated Node #0,1,4: 74:[32, 75] Operation: 3+72=75
Moving to Node #0,1,0
Current State: 74:[72, 35], Operations: ['67+5=72', '3+32=35']
Exploring Operation: 72-35=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Exploring Operation: 72+35=107, Resulting Numbers: [107]
107,74 unequal: No Solution
Exploring Operation: 72*35=2520, Resulting Numbers: [2520]
2520,74 unequal: No Solution
Moving to Node #0,1,3
Current State: 74:[3, 40], Operations: ['67+5=72', '72-32=40']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Exploring Operation: 3*40=120, Resulting Numbers: [120]
120,74 unequal: No Solution
Exploring Operation: 3+40=43, Resulting Numbers: [43]
43,74 unequal: No Solution
Moving to Node #0,1,4
Current State: 74:[32, 75], Operations: ['67+5=72', '3+72=75']
Exploring Operation: 32+75=107, Resulting Numbers: [107]
107,74 unequal: No Solution
Exploring Operation: 75-32=43, Resulting Numbers: [43]
43,74 unequal: No Solution
Exploring Operation: 32*75=2400, Resulting Numbers: [2400]
2400,74 unequal: No Solution
Moving to Node #0,1,1
Current State: 74:[72, 29], Operations: ['67+5=72', '32-3=29']
Exploring Operation: 72-29=43, Resulting Numbers: [43]
43,74 unequal: No Solution
Exploring Operation: 72+29=101, Resulting Numbers: [101]
101,74 unequal: No Solution
Exploring Operation: 72*29=2088, Resulting Numbers: [2088]
2088,74 unequal: No Solution
Moving to Node #0,1,2
Current State: 74:[32, 69], Operations: ['67+5=72', '72-3=69']
Exploring Operation: 32*69=2208, Resulting Numbers: [2208]
2208,74 unequal: No Solution
Exploring Operation: 69-32=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Exploring Operation: 32+69=101, Resulting Numbers: [101]
101,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 74:[32, 5, 70], Operations: ['3+67=70']
Exploring Operation: 32+5=37, Resulting Numbers: [70, 37]
Generated Node #0,2,0: 74:[70, 37] Operation: 32+5=37
Exploring Operation: 70-32=38, Resulting Numbers: [5, 38]
Generated Node #0,2,1: 74:[5, 38] Operation: 70-32=38
Exploring Operation: 32-5=27, Resulting Numbers: [70, 27]
Generated Node #0,2,2: 74:[70, 27] Operation: 32-5=27
Exploring Operation: 70-5=65, Resulting Numbers: [32, 65]
Generated Node #0,2,3: 74:[32, 65] Operation: 70-5=65
Exploring Operation: 5+70=75, Resulting Numbers: [32, 75]
Generated Node #0,2,4: 74:[32, 75] Operation: 5+70=75
Moving to Node #0,2,0
Current State: 74:[70, 37], Operations: ['3+67=70', '32+5=37']
Exploring Operation: 70+37=107, Resulting Numbers: [107]
107,74 unequal: No Solution
Exploring Operation: 70*37=2590, Resulting Numbers: [2590]
2590,74 unequal: No Solution
Exploring Operation: 70-37=33, Resulting Numbers: [33]
33,74 unequal: No Solution
Moving to Node #0,2,1
Current State: 74:[5, 38], Operations: ['3+67=70', '70-32=38']
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,74 unequal: No Solution
Exploring Operation: 5+38=43, Resulting Numbers: [43]
43,74 unequal: No Solution
Exploring Operation: 5*38=190, Resulting Numbers: [190]
190,74 unequal: No Solution
Moving to Node #0,2,4
Current State: 74:[32, 75], Operations: ['3+67=70', '5+70=75']
Exploring Operation: 32+75=107, Resulting Numbers: [107]
107,74 unequal: No Solution
Exploring Operation: 75-32=43, Resulting Numbers: [43]
43,74 unequal: No Solution
Exploring Operation: 32*75=2400, Resulting Numbers: [2400]
2400,74 unequal: No Solution
Moving to Node #0,2,2
Current State: 74:[70, 27], Operations: ['3+67=70', '32-5=27']
Exploring Operation: 70+27=97, Resulting Numbers: [97]
97,74 unequal: No Solution
Exploring Operation: 70*27=1890, Resulting Numbers: [1890]
1890,74 unequal: No Solution
Exploring Operation: 70-27=43, Resulting Numbers: [43]
43,74 unequal: No Solution
Moving to Node #0,2,3
Current State: 74:[32, 65], Operations: ['3+67=70', '70-5=65']
Exploring Operation: 32*65=2080, Resulting Numbers: [2080]
2080,74 unequal: No Solution
Exploring Operation: 65-32=33, Resulting Numbers: [33]
33,74 unequal: No Solution
Exploring Operation: 32+65=97, Resulting Numbers: [97]
97,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 74:[67, 5, 35], Operations: ['3+32=35']
Exploring Operation: 5+35=40, Resulting Numbers: [67, 40]
Generated Node #0,4,0: 74:[67, 40] Operation: 5+35=40
Exploring Operation: 35/5=7, Resulting Numbers: [67, 7]
Generated Node #0,4,1: 74:[67, 7] Operation: 35/5=7
Exploring Operation: 67-5=62, Resulting Numbers: [35, 62]
Generated Node #0,4,2: 74:[35, 62] Operation: 67-5=62
Exploring Operation: 67-35=32, Resulting Numbers: [5, 32]
Generated Node #0,4,3: 74:[5, 32] Operation: 67-35=32
Exploring Operation: 67+5=72, Resulting Numbers: [35, 72]
Generated Node #0,4,4: 74:[35, 72] Operation: 67+5=72
Moving to Node #0,4,4
Current State: 74:[35, 72], Operations: ['3+32=35', '67+5=72']
Exploring Operation: 72-35=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Exploring Operation: 35*72=2520, Resulting Numbers: [2520]
2520,74 unequal: No Solution
Exploring Operation: 35+72=107, Resulting Numbers: [107]
107,74 unequal: No Solution
Moving to Node #0,4,3
Current State: 74:[5, 32], Operations: ['3+32=35', '67-35=32']
Exploring Operation: 5*32=160, Resulting Numbers: [160]
160,74 unequal: No Solution
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,74 unequal: No Solution
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Moving to Node #0,4,0
Current State: 74:[67, 40], Operations: ['3+32=35', '5+35=40']
Exploring Operation: 67*40=2680, Resulting Numbers: [2680]
2680,74 unequal: No Solution
Exploring Operation: 67-40=27, Resulting Numbers: [27]
27,74 unequal: No Solution
Exploring Operation: 67+40=107, Resulting Numbers: [107]
107,74 unequal: No Solution
Moving to Node #0,4,1
Current State: 74:[67, 7], Operations: ['3+32=35', '35/5=7']
Exploring Operation: 67-7=60, Resulting Numbers: [60]
60,74 unequal: No Solution
Exploring Operation: 67+7=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[3, 67, 32, 5], Operations: []
Exploring Operation: 3+32=35, Resulting Numbers: [67, 5, 35]
Generated Node #0,4: 74:[67, 5, 35] Operation: 3+32=35
Moving to Node #0,4
Current State: 74:[67, 5, 35], Operations: ['3+32=35']
Exploring Operation: 35/5=7, Resulting Numbers: [67, 7]
Generated Node #0,4,1: 74:[67, 7] Operation: 35/5=7
Moving to Node #0,4,1
Current State: 74:[67, 7], Operations: ['3+32=35', '35/5=7']
Exploring Operation: 67+7=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.907986 | hs_5 | mult_heuristic |
[
5,
65,
8,
45
] | 14 | [
"65+45=110",
"110/5=22",
"22-8=14"
] | Current State: 14:[5, 65, 8, 45], Operations: []
Exploring Operation: 65+45=110, Resulting Numbers: [5, 8, 110]
Generated Node #2: [5, 8, 110] from Operation: 65+45=110
Current State: 14:[5, 8, 110], Operations: ['65+45=110']
Exploring Operation: 110/5=22, Resulting Numbers: [8, 22]
Generated Node #3: [8, 22] from Operation: 110/5=22
Current State: 14:[8, 22], Operations: ['65+45=110', '110/5=22']
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[5, 65, 8, 45], Operations: []
Exploring Operation: 65-8=57, Resulting Numbers: [5, 45, 57]
Generated Node #0,0: 14:[5, 45, 57] Operation: 65-8=57
Exploring Operation: 65/5=13, Resulting Numbers: [8, 45, 13]
Generated Node #0,1: 14:[8, 45, 13] Operation: 65/5=13
Exploring Operation: 45/5=9, Resulting Numbers: [65, 8, 9]
Generated Node #0,2: 14:[65, 8, 9] Operation: 45/5=9
Exploring Operation: 45-8=37, Resulting Numbers: [5, 65, 37]
Generated Node #0,3: 14:[5, 65, 37] Operation: 45-8=37
Exploring Operation: 65-45=20, Resulting Numbers: [5, 8, 20]
Generated Node #0,4: 14:[5, 8, 20] Operation: 65-45=20
Start Sub Search at level 1: Moving to Node #0,4
Current State: 14:[5, 8, 20], Operations: ['65-45=20']
Exploring Operation: 20/5=4, Resulting Numbers: [8, 4]
Generated Node #0,4,0: 14:[8, 4] Operation: 20/5=4
Exploring Operation: 20-8=12, Resulting Numbers: [5, 12]
Generated Node #0,4,1: 14:[5, 12] Operation: 20-8=12
Exploring Operation: 8-5=3, Resulting Numbers: [20, 3]
Generated Node #0,4,2: 14:[20, 3] Operation: 8-5=3
Exploring Operation: 5+8=13, Resulting Numbers: [20, 13]
Generated Node #0,4,3: 14:[20, 13] Operation: 5+8=13
Exploring Operation: 20-5=15, Resulting Numbers: [8, 15]
Generated Node #0,4,4: 14:[8, 15] Operation: 20-5=15
Moving to Node #0,4,4
Current State: 14:[8, 15], Operations: ['65-45=20', '20-5=15']
Exploring Operation: 8*15=120, Resulting Numbers: [120]
120,14 unequal: No Solution
Exploring Operation: 8+15=23, Resulting Numbers: [23]
23,14 unequal: No Solution
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,14 unequal: No Solution
Moving to Node #0,4,0
Current State: 14:[8, 4], Operations: ['65-45=20', '20/5=4']
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,14 unequal: No Solution
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,14 unequal: No Solution
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,14 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Moving to Node #0,4,1
Current State: 14:[5, 12], Operations: ['65-45=20', '20-8=12']
Exploring Operation: 5+12=17, Resulting Numbers: [17]
17,14 unequal: No Solution
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,14 unequal: No Solution
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,14 unequal: No Solution
Moving to Node #0,4,2
Current State: 14:[20, 3], Operations: ['65-45=20', '8-5=3']
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,14 unequal: No Solution
Exploring Operation: 20*3=60, Resulting Numbers: [60]
60,14 unequal: No Solution
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,14 unequal: No Solution
Moving to Node #0,4,3
Current State: 14:[20, 13], Operations: ['65-45=20', '5+8=13']
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,14 unequal: No Solution
Exploring Operation: 20+13=33, Resulting Numbers: [33]
33,14 unequal: No Solution
Exploring Operation: 20*13=260, Resulting Numbers: [260]
260,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 14:[8, 45, 13], Operations: ['65/5=13']
Exploring Operation: 8+45=53, Resulting Numbers: [13, 53]
Generated Node #0,1,0: 14:[13, 53] Operation: 8+45=53
Exploring Operation: 13-8=5, Resulting Numbers: [45, 5]
Generated Node #0,1,1: 14:[45, 5] Operation: 13-8=5
Exploring Operation: 8+13=21, Resulting Numbers: [45, 21]
Generated Node #0,1,2: 14:[45, 21] Operation: 8+13=21
Exploring Operation: 45-8=37, Resulting Numbers: [13, 37]
Generated Node #0,1,3: 14:[13, 37] Operation: 45-8=37
Exploring Operation: 45-13=32, Resulting Numbers: [8, 32]
Generated Node #0,1,4: 14:[8, 32] Operation: 45-13=32
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 14:[8, 32], Operations: ['65/5=13', '45-13=32']
Exploring Operation: 32-8=24, Resulting Numbers: [24]
24,14 unequal: No Solution
Exploring Operation: 8*32=256, Resulting Numbers: [256]
256,14 unequal: No Solution
Exploring Operation: 32/8=4, Resulting Numbers: [4]
4,14 unequal: No Solution
Exploring Operation: 8+32=40, Resulting Numbers: [40]
40,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 14:[13, 37], Operations: ['65/5=13', '45-8=37']
Exploring Operation: 37-13=24, Resulting Numbers: [24]
24,14 unequal: No Solution
Exploring Operation: 13+37=50, Resulting Numbers: [50]
50,14 unequal: No Solution
Exploring Operation: 13*37=481, Resulting Numbers: [481]
481,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 14:[45, 5], Operations: ['65/5=13', '13-8=5']
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,14 unequal: No Solution
Exploring Operation: 45/5=9, Resulting Numbers: [9]
9,14 unequal: No Solution
Exploring Operation: 45*5=225, Resulting Numbers: [225]
225,14 unequal: No Solution
Exploring Operation: 45+5=50, Resulting Numbers: [50]
50,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 14:[45, 21], Operations: ['65/5=13', '8+13=21']
Exploring Operation: 45-21=24, Resulting Numbers: [24]
24,14 unequal: No Solution
Exploring Operation: 45+21=66, Resulting Numbers: [66]
66,14 unequal: No Solution
Exploring Operation: 45*21=945, Resulting Numbers: [945]
945,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 14:[13, 53], Operations: ['65/5=13', '8+45=53']
Exploring Operation: 13+53=66, Resulting Numbers: [66]
66,14 unequal: No Solution
Exploring Operation: 53-13=40, Resulting Numbers: [40]
40,14 unequal: No Solution
Exploring Operation: 13*53=689, Resulting Numbers: [689]
689,14 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 #0,2
Current State: 14:[65, 8, 9], Operations: ['45/5=9']
Exploring Operation: 65-8=57, Resulting Numbers: [9, 57]
Generated Node #0,2,0: 14:[9, 57] Operation: 65-8=57
Exploring Operation: 65+8=73, Resulting Numbers: [9, 73]
Generated Node #0,2,1: 14:[9, 73] Operation: 65+8=73
Exploring Operation: 8+9=17, Resulting Numbers: [65, 17]
Generated Node #0,2,2: 14:[65, 17] Operation: 8+9=17
Exploring Operation: 65-9=56, Resulting Numbers: [8, 56]
Generated Node #0,2,3: 14:[8, 56] Operation: 65-9=56
Exploring Operation: 9-8=1, Resulting Numbers: [65, 1]
Generated Node #0,2,4: 14:[65, 1] Operation: 9-8=1
Moving to Node #0,2,3
Current State: 14:[8, 56], Operations: ['45/5=9', '65-9=56']
Exploring Operation: 8*56=448, Resulting Numbers: [448]
448,14 unequal: No Solution
Exploring Operation: 8+56=64, Resulting Numbers: [64]
64,14 unequal: No Solution
Exploring Operation: 56-8=48, Resulting Numbers: [48]
48,14 unequal: No Solution
Exploring Operation: 56/8=7, Resulting Numbers: [7]
7,14 unequal: No Solution
Moving to Node #0,2,0
Current State: 14:[9, 57], Operations: ['45/5=9', '65-8=57']
Exploring Operation: 9+57=66, Resulting Numbers: [66]
66,14 unequal: No Solution
Exploring Operation: 9*57=513, Resulting Numbers: [513]
513,14 unequal: No Solution
Exploring Operation: 57-9=48, Resulting Numbers: [48]
48,14 unequal: No Solution
Moving to Node #0,2,4
Current State: 14:[65, 1], Operations: ['45/5=9', '9-8=1']
Exploring Operation: 65-1=64, Resulting Numbers: [64]
64,14 unequal: No Solution
Exploring Operation: 65*1=65, Resulting Numbers: [65]
65,14 unequal: No Solution
Exploring Operation: 65/1=65, Resulting Numbers: [65]
65,14 unequal: No Solution
Exploring Operation: 65+1=66, Resulting Numbers: [66]
66,14 unequal: No Solution
Moving to Node #0,2,2
Current State: 14:[65, 17], Operations: ['45/5=9', '8+9=17']
Exploring Operation: 65+17=82, Resulting Numbers: [82]
82,14 unequal: No Solution
Exploring Operation: 65-17=48, Resulting Numbers: [48]
48,14 unequal: No Solution
Exploring Operation: 65*17=1105, Resulting Numbers: [1105]
1105,14 unequal: No Solution
Moving to Node #0,2,1
Current State: 14:[9, 73], Operations: ['45/5=9', '65+8=73']
Exploring Operation: 9+73=82, Resulting Numbers: [82]
82,14 unequal: No Solution
Exploring Operation: 9*73=657, Resulting Numbers: [657]
657,14 unequal: No Solution
Exploring Operation: 73-9=64, Resulting Numbers: [64]
64,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[5, 45, 57], Operations: ['65-8=57']
Exploring Operation: 57-45=12, Resulting Numbers: [5, 12]
Generated Node #0,0,0: 14:[5, 12] Operation: 57-45=12
Exploring Operation: 5+45=50, Resulting Numbers: [57, 50]
Generated Node #0,0,1: 14:[57, 50] Operation: 5+45=50
Exploring Operation: 45-5=40, Resulting Numbers: [57, 40]
Generated Node #0,0,2: 14:[57, 40] Operation: 45-5=40
Exploring Operation: 45/5=9, Resulting Numbers: [57, 9]
Generated Node #0,0,3: 14:[57, 9] Operation: 45/5=9
Exploring Operation: 57-5=52, Resulting Numbers: [45, 52]
Generated Node #0,0,4: 14:[45, 52] Operation: 57-5=52
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 14:[5, 12], Operations: ['65-8=57', '57-45=12']
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,14 unequal: No Solution
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,14 unequal: No Solution
Exploring Operation: 5+12=17, Resulting Numbers: [17]
17,14 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 #0,0,3
Current State: 14:[57, 9], Operations: ['65-8=57', '45/5=9']
Exploring Operation: 57-9=48, Resulting Numbers: [48]
48,14 unequal: No Solution
Exploring Operation: 57*9=513, Resulting Numbers: [513]
513,14 unequal: No Solution
Exploring Operation: 57+9=66, Resulting Numbers: [66]
66,14 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 #0,0,2
Current State: 14:[57, 40], Operations: ['65-8=57', '45-5=40']
Exploring Operation: 57*40=2280, Resulting Numbers: [2280]
2280,14 unequal: No Solution
Exploring Operation: 57-40=17, Resulting Numbers: [17]
17,14 unequal: No Solution
Exploring Operation: 57+40=97, Resulting Numbers: [97]
97,14 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 #0,0,4
Current State: 14:[45, 52], Operations: ['65-8=57', '57-5=52']
Exploring Operation: 52-45=7, Resulting Numbers: [7]
7,14 unequal: No Solution
Exploring Operation: 45*52=2340, Resulting Numbers: [2340]
2340,14 unequal: No Solution
Exploring Operation: 45+52=97, Resulting Numbers: [97]
97,14 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 #0,0,1
Current State: 14:[57, 50], Operations: ['65-8=57', '5+45=50']
Exploring Operation: 57*50=2850, Resulting Numbers: [2850]
2850,14 unequal: No Solution
Exploring Operation: 57-50=7, Resulting Numbers: [7]
7,14 unequal: No Solution
Exploring Operation: 57+50=107, Resulting Numbers: [107]
107,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 14:[5, 65, 37], Operations: ['45-8=37']
Exploring Operation: 65/5=13, Resulting Numbers: [37, 13]
Generated Node #0,3,0: 14:[37, 13] Operation: 65/5=13
Exploring Operation: 37-5=32, Resulting Numbers: [65, 32]
Generated Node #0,3,1: 14:[65, 32] Operation: 37-5=32
Exploring Operation: 5+65=70, Resulting Numbers: [37, 70]
Generated Node #0,3,2: 14:[37, 70] Operation: 5+65=70
Exploring Operation: 65-5=60, Resulting Numbers: [37, 60]
Generated Node #0,3,3: 14:[37, 60] Operation: 65-5=60
Exploring Operation: 65-37=28, Resulting Numbers: [5, 28]
Generated Node #0,3,4: 14:[5, 28] Operation: 65-37=28
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 14:[5, 28], Operations: ['45-8=37', '65-37=28']
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,14 unequal: No Solution
Exploring Operation: 5+28=33, Resulting Numbers: [33]
33,14 unequal: No Solution
Exploring Operation: 5*28=140, Resulting Numbers: [140]
140,14 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 #0,3,0
Current State: 14:[37, 13], Operations: ['45-8=37', '65/5=13']
Exploring Operation: 37*13=481, Resulting Numbers: [481]
481,14 unequal: No Solution
Exploring Operation: 37+13=50, Resulting Numbers: [50]
50,14 unequal: No Solution
Exploring Operation: 37-13=24, Resulting Numbers: [24]
24,14 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:[65, 32], Operations: ['45-8=37', '37-5=32']
Exploring Operation: 65-32=33, Resulting Numbers: [33]
33,14 unequal: No Solution
Exploring Operation: 65+32=97, Resulting Numbers: [97]
97,14 unequal: No Solution
Exploring Operation: 65*32=2080, Resulting Numbers: [2080]
2080,14 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:[37, 60], Operations: ['45-8=37', '65-5=60']
Exploring Operation: 37*60=2220, Resulting Numbers: [2220]
2220,14 unequal: No Solution
Exploring Operation: 37+60=97, Resulting Numbers: [97]
97,14 unequal: No Solution
Exploring Operation: 60-37=23, Resulting Numbers: [23]
23,14 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:[37, 70], Operations: ['45-8=37', '5+65=70']
Exploring Operation: 37*70=2590, Resulting Numbers: [2590]
2590,14 unequal: No Solution
Exploring Operation: 37+70=107, Resulting Numbers: [107]
107,14 unequal: No Solution
Exploring Operation: 70-37=33, Resulting Numbers: [33]
33,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
28,
61,
51,
36
] | 32 | [
"61+51=112",
"112/28=4",
"36-4=32"
] | Current State: 32:[28, 61, 51, 36], Operations: []
Exploring Operation: 61+51=112, Resulting Numbers: [28, 36, 112]
Generated Node #2: [28, 36, 112] from Operation: 61+51=112
Current State: 32:[28, 36, 112], Operations: ['61+51=112']
Exploring Operation: 112/28=4, Resulting Numbers: [36, 4]
Generated Node #3: [36, 4] from Operation: 112/28=4
Current State: 32:[36, 4], Operations: ['61+51=112', '112/28=4']
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[28, 61, 51, 36], Operations: []
Exploring Operation: 61-36=25, Resulting Numbers: [28, 51, 25]
Generated Node #0,0: 32:[28, 51, 25] Operation: 61-36=25
Exploring Operation: 51-28=23, Resulting Numbers: [61, 36, 23]
Generated Node #0,1: 32:[61, 36, 23] Operation: 51-28=23
Exploring Operation: 61-51=10, Resulting Numbers: [28, 36, 10]
Generated Node #0,2: 32:[28, 36, 10] Operation: 61-51=10
Exploring Operation: 51-36=15, Resulting Numbers: [28, 61, 15]
Generated Node #0,3: 32:[28, 61, 15] Operation: 51-36=15
Exploring Operation: 61-28=33, Resulting Numbers: [51, 36, 33]
Generated Node #0,4: 32:[51, 36, 33] Operation: 61-28=33
Start Sub Search at level 1: Moving to Node #0,2
Current State: 32:[28, 36, 10], Operations: ['61-51=10']
Exploring Operation: 28-10=18, Resulting Numbers: [36, 18]
Generated Node #0,2,0: 32:[36, 18] Operation: 28-10=18
Exploring Operation: 36-10=26, Resulting Numbers: [28, 26]
Generated Node #0,2,1: 32:[28, 26] Operation: 36-10=26
Exploring Operation: 36+10=46, Resulting Numbers: [28, 46]
Generated Node #0,2,2: 32:[28, 46] Operation: 36+10=46
Exploring Operation: 28+10=38, Resulting Numbers: [36, 38]
Generated Node #0,2,3: 32:[36, 38] Operation: 28+10=38
Exploring Operation: 36-28=8, Resulting Numbers: [10, 8]
Generated Node #0,2,4: 32:[10, 8] Operation: 36-28=8
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 32:[10, 8], Operations: ['61-51=10', '36-28=8']
Exploring Operation: 10+8=18, Resulting Numbers: [18]
18,32 unequal: No Solution
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,32 unequal: No Solution
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 32:[36, 18], Operations: ['61-51=10', '28-10=18']
Exploring Operation: 36/18=2, Resulting Numbers: [2]
2,32 unequal: No Solution
Exploring Operation: 36-18=18, Resulting Numbers: [18]
18,32 unequal: No Solution
Exploring Operation: 36+18=54, Resulting Numbers: [54]
54,32 unequal: No Solution
Exploring Operation: 36*18=648, Resulting Numbers: [648]
648,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 32:[28, 26], Operations: ['61-51=10', '36-10=26']
Exploring Operation: 28*26=728, Resulting Numbers: [728]
728,32 unequal: No Solution
Exploring Operation: 28+26=54, Resulting Numbers: [54]
54,32 unequal: No Solution
Exploring Operation: 28-26=2, Resulting Numbers: [2]
2,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 32:[36, 38], Operations: ['61-51=10', '28+10=38']
Exploring Operation: 36+38=74, Resulting Numbers: [74]
74,32 unequal: No Solution
Exploring Operation: 38-36=2, Resulting Numbers: [2]
2,32 unequal: No Solution
Exploring Operation: 36*38=1368, Resulting Numbers: [1368]
1368,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 32:[28, 46], Operations: ['61-51=10', '36+10=46']
Exploring Operation: 28*46=1288, Resulting Numbers: [1288]
1288,32 unequal: No Solution
Exploring Operation: 46-28=18, Resulting Numbers: [18]
18,32 unequal: No Solution
Exploring Operation: 28+46=74, Resulting Numbers: [74]
74,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 32:[51, 36, 33], Operations: ['61-28=33']
Exploring Operation: 51+33=84, Resulting Numbers: [36, 84]
Generated Node #0,4,0: 32:[36, 84] Operation: 51+33=84
Exploring Operation: 51-36=15, Resulting Numbers: [33, 15]
Generated Node #0,4,1: 32:[33, 15] Operation: 51-36=15
Exploring Operation: 51-33=18, Resulting Numbers: [36, 18]
Generated Node #0,4,2: 32:[36, 18] Operation: 51-33=18
Exploring Operation: 36-33=3, Resulting Numbers: [51, 3]
Generated Node #0,4,3: 32:[51, 3] Operation: 36-33=3
Exploring Operation: 51+36=87, Resulting Numbers: [33, 87]
Generated Node #0,4,4: 32:[33, 87] Operation: 51+36=87
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 32:[33, 15], Operations: ['61-28=33', '51-36=15']
Exploring Operation: 33+15=48, Resulting Numbers: [48]
48,32 unequal: No Solution
Exploring Operation: 33*15=495, Resulting Numbers: [495]
495,32 unequal: No Solution
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 32:[36, 18], Operations: ['61-28=33', '51-33=18']
Exploring Operation: 36+18=54, Resulting Numbers: [54]
54,32 unequal: No Solution
Exploring Operation: 36/18=2, Resulting Numbers: [2]
2,32 unequal: No Solution
Exploring Operation: 36*18=648, Resulting Numbers: [648]
648,32 unequal: No Solution
Exploring Operation: 36-18=18, Resulting Numbers: [18]
18,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 32:[51, 3], Operations: ['61-28=33', '36-33=3']
Exploring Operation: 51+3=54, Resulting Numbers: [54]
54,32 unequal: No Solution
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,32 unequal: No Solution
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,32 unequal: No Solution
Exploring Operation: 51*3=153, Resulting Numbers: [153]
153,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 32:[36, 84], Operations: ['61-28=33', '51+33=84']
Exploring Operation: 36*84=3024, Resulting Numbers: [3024]
3024,32 unequal: No Solution
Exploring Operation: 36+84=120, Resulting Numbers: [120]
120,32 unequal: No Solution
Exploring Operation: 84-36=48, Resulting Numbers: [48]
48,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 32:[33, 87], Operations: ['61-28=33', '51+36=87']
Exploring Operation: 33*87=2871, Resulting Numbers: [2871]
2871,32 unequal: No Solution
Exploring Operation: 87-33=54, Resulting Numbers: [54]
54,32 unequal: No Solution
Exploring Operation: 33+87=120, Resulting Numbers: [120]
120,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[28, 51, 25], Operations: ['61-36=25']
Exploring Operation: 51-28=23, Resulting Numbers: [25, 23]
Generated Node #0,0,0: 32:[25, 23] Operation: 51-28=23
Exploring Operation: 51+25=76, Resulting Numbers: [28, 76]
Generated Node #0,0,1: 32:[28, 76] Operation: 51+25=76
Exploring Operation: 28+25=53, Resulting Numbers: [51, 53]
Generated Node #0,0,2: 32:[51, 53] Operation: 28+25=53
Exploring Operation: 51-25=26, Resulting Numbers: [28, 26]
Generated Node #0,0,3: 32:[28, 26] Operation: 51-25=26
Exploring Operation: 28-25=3, Resulting Numbers: [51, 3]
Generated Node #0,0,4: 32:[51, 3] Operation: 28-25=3
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 32:[28, 26], Operations: ['61-36=25', '51-25=26']
Exploring Operation: 28+26=54, Resulting Numbers: [54]
54,32 unequal: No Solution
Exploring Operation: 28*26=728, Resulting Numbers: [728]
728,32 unequal: No Solution
Exploring Operation: 28-26=2, Resulting Numbers: [2]
2,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 32:[25, 23], Operations: ['61-36=25', '51-28=23']
Exploring Operation: 25*23=575, Resulting Numbers: [575]
575,32 unequal: No Solution
Exploring Operation: 25-23=2, Resulting Numbers: [2]
2,32 unequal: No Solution
Exploring Operation: 25+23=48, Resulting Numbers: [48]
48,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 32:[51, 3], Operations: ['61-36=25', '28-25=3']
Exploring Operation: 51*3=153, Resulting Numbers: [153]
153,32 unequal: No Solution
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,32 unequal: No Solution
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,32 unequal: No Solution
Exploring Operation: 51+3=54, Resulting Numbers: [54]
54,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 32:[51, 53], Operations: ['61-36=25', '28+25=53']
Exploring Operation: 51+53=104, Resulting Numbers: [104]
104,32 unequal: No Solution
Exploring Operation: 51*53=2703, Resulting Numbers: [2703]
2703,32 unequal: No Solution
Exploring Operation: 53-51=2, Resulting Numbers: [2]
2,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 32:[28, 76], Operations: ['61-36=25', '51+25=76']
Exploring Operation: 76-28=48, Resulting Numbers: [48]
48,32 unequal: No Solution
Exploring Operation: 28*76=2128, Resulting Numbers: [2128]
2128,32 unequal: No Solution
Exploring Operation: 28+76=104, Resulting Numbers: [104]
104,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 32:[28, 61, 15], Operations: ['51-36=15']
Exploring Operation: 28-15=13, Resulting Numbers: [61, 13]
Generated Node #0,3,0: 32:[61, 13] Operation: 28-15=13
Exploring Operation: 61-28=33, Resulting Numbers: [15, 33]
Generated Node #0,3,1: 32:[15, 33] Operation: 61-28=33
Exploring Operation: 28+15=43, Resulting Numbers: [61, 43]
Generated Node #0,3,2: 32:[61, 43] Operation: 28+15=43
Exploring Operation: 61-15=46, Resulting Numbers: [28, 46]
Generated Node #0,3,3: 32:[28, 46] Operation: 61-15=46
Exploring Operation: 61+15=76, Resulting Numbers: [28, 76]
Generated Node #0,3,4: 32:[28, 76] Operation: 61+15=76
Moving to Node #0,3,1
Current State: 32:[15, 33], Operations: ['51-36=15', '61-28=33']
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,32 unequal: No Solution
Exploring Operation: 15+33=48, Resulting Numbers: [48]
48,32 unequal: No Solution
Exploring Operation: 15*33=495, Resulting Numbers: [495]
495,32 unequal: No Solution
Moving to Node #0,3,3
Current State: 32:[28, 46], Operations: ['51-36=15', '61-15=46']
Exploring Operation: 28*46=1288, Resulting Numbers: [1288]
1288,32 unequal: No Solution
Exploring Operation: 46-28=18, Resulting Numbers: [18]
18,32 unequal: No Solution
Exploring Operation: 28+46=74, Resulting Numbers: [74]
74,32 unequal: No Solution
Moving to Node #0,3,0
Current State: 32:[61, 13], Operations: ['51-36=15', '28-15=13']
Exploring Operation: 61+13=74, Resulting Numbers: [74]
74,32 unequal: No Solution
Exploring Operation: 61-13=48, Resulting Numbers: [48]
48,32 unequal: No Solution
Exploring Operation: 61*13=793, Resulting Numbers: [793]
793,32 unequal: No Solution
Moving to Node #0,3,2
Current State: 32:[61, 43], Operations: ['51-36=15', '28+15=43']
Exploring Operation: 61-43=18, Resulting Numbers: [18]
18,32 unequal: No Solution
Exploring Operation: 61*43=2623, Resulting Numbers: [2623]
2623,32 unequal: No Solution
Exploring Operation: 61+43=104, Resulting Numbers: [104]
104,32 unequal: No Solution
Moving to Node #0,3,4
Current State: 32:[28, 76], Operations: ['51-36=15', '61+15=76']
Exploring Operation: 28*76=2128, Resulting Numbers: [2128]
2128,32 unequal: No Solution
Exploring Operation: 76-28=48, Resulting Numbers: [48]
48,32 unequal: No Solution
Exploring Operation: 28+76=104, Resulting Numbers: [104]
104,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 32:[61, 36, 23], Operations: ['51-28=23']
Exploring Operation: 61-23=38, Resulting Numbers: [36, 38]
Generated Node #0,1,0: 32:[36, 38] Operation: 61-23=38
Exploring Operation: 61-36=25, Resulting Numbers: [23, 25]
Generated Node #0,1,1: 32:[23, 25] Operation: 61-36=25
Exploring Operation: 36-23=13, Resulting Numbers: [61, 13]
Generated Node #0,1,2: 32:[61, 13] Operation: 36-23=13
Exploring Operation: 61+23=84, Resulting Numbers: [36, 84]
Generated Node #0,1,3: 32:[36, 84] Operation: 61+23=84
Exploring Operation: 36+23=59, Resulting Numbers: [61, 59]
Generated Node #0,1,4: 32:[61, 59] Operation: 36+23=59
Moving to Node #0,1,0
Current State: 32:[36, 38], Operations: ['51-28=23', '61-23=38']
Exploring Operation: 36+38=74, Resulting Numbers: [74]
74,32 unequal: No Solution
Exploring Operation: 36*38=1368, Resulting Numbers: [1368]
1368,32 unequal: No Solution
Exploring Operation: 38-36=2, Resulting Numbers: [2]
2,32 unequal: No Solution
Moving to Node #0,1,1
Current State: 32:[23, 25], Operations: ['51-28=23', '61-36=25']
Exploring Operation: 23+25=48, Resulting Numbers: [48]
48,32 unequal: No Solution
Exploring Operation: 25-23=2, Resulting Numbers: [2]
2,32 unequal: No Solution
Exploring Operation: 23*25=575, Resulting Numbers: [575]
575,32 unequal: No Solution
Moving to Node #0,1,2
Current State: 32:[61, 13], Operations: ['51-28=23', '36-23=13']
Exploring Operation: 61-13=48, Resulting Numbers: [48]
48,32 unequal: No Solution
Exploring Operation: 61+13=74, Resulting Numbers: [74]
74,32 unequal: No Solution
Exploring Operation: 61*13=793, Resulting Numbers: [793]
793,32 unequal: No Solution
Moving to Node #0,1,3
Current State: 32:[36, 84], Operations: ['51-28=23', '61+23=84']
Exploring Operation: 36+84=120, Resulting Numbers: [120]
120,32 unequal: No Solution
Exploring Operation: 36*84=3024, Resulting Numbers: [3024]
3024,32 unequal: No Solution
Exploring Operation: 84-36=48, Resulting Numbers: [48]
48,32 unequal: No Solution
Moving to Node #0,1,4
Current State: 32:[61, 59], Operations: ['51-28=23', '36+23=59']
Exploring Operation: 61-59=2, Resulting Numbers: [2]
2,32 unequal: No Solution
Exploring Operation: 61+59=120, Resulting Numbers: [120]
120,32 unequal: No Solution
Exploring Operation: 61*59=3599, Resulting Numbers: [3599]
3599,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
76,
24,
2,
84
] | 58 | [
"76+24=100",
"84/2=42",
"100-42=58"
] | Current State: 58:[76, 24, 2, 84], Operations: []
Exploring Operation: 76+24=100, Resulting Numbers: [2, 84, 100]
Generated Node #2: [2, 84, 100] from Operation: 76+24=100
Current State: 58:[2, 84, 100], Operations: ['76+24=100']
Exploring Operation: 84/2=42, Resulting Numbers: [100, 42]
Generated Node #3: [100, 42] from Operation: 84/2=42
Current State: 58:[100, 42], Operations: ['76+24=100', '84/2=42']
Exploring Operation: 100-42=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[76, 24, 2, 84], Operations: []
Exploring Operation: 84-24=60, Resulting Numbers: [76, 2, 60]
Generated Node #0,0: 58:[76, 2, 60] Operation: 84-24=60
Exploring Operation: 84-76=8, Resulting Numbers: [24, 2, 8]
Generated Node #0,1: 58:[24, 2, 8] Operation: 84-76=8
Exploring Operation: 84/2=42, Resulting Numbers: [76, 24, 42]
Generated Node #0,2: 58:[76, 24, 42] Operation: 84/2=42
Exploring Operation: 76-24=52, Resulting Numbers: [2, 84, 52]
Generated Node #0,3: 58:[2, 84, 52] Operation: 76-24=52
Start Sub Search at level 1: Moving to Node #0,1
Current State: 58:[24, 2, 8], Operations: ['84-76=8']
Exploring Operation: 24+2=26, Resulting Numbers: [8, 26]
Generated Node #0,1,0: 58:[8, 26] Operation: 24+2=26
Exploring Operation: 24/8=3, Resulting Numbers: [2, 3]
Generated Node #0,1,1: 58:[2, 3] Operation: 24/8=3
Exploring Operation: 8/2=4, Resulting Numbers: [24, 4]
Generated Node #0,1,2: 58:[24, 4] Operation: 8/2=4
Exploring Operation: 24+8=32, Resulting Numbers: [2, 32]
Generated Node #0,1,3: 58:[2, 32] Operation: 24+8=32
Moving to Node #0,1,1
Current State: 58:[2, 3], Operations: ['84-76=8', '24/8=3']
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,58 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,58 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,58 unequal: No Solution
Moving to Node #0,1,3
Current State: 58:[2, 32], Operations: ['84-76=8', '24+8=32']
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,58 unequal: No Solution
Exploring Operation: 2+32=34, Resulting Numbers: [34]
34,58 unequal: No Solution
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,58 unequal: No Solution
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,58 unequal: No Solution
Moving to Node #0,1,2
Current State: 58:[24, 4], Operations: ['84-76=8', '8/2=4']
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,58 unequal: No Solution
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,58 unequal: No Solution
Exploring Operation: 24*4=96, Resulting Numbers: [96]
96,58 unequal: No Solution
Exploring Operation: 24+4=28, Resulting Numbers: [28]
28,58 unequal: No Solution
Moving to Node #0,1,0
Current State: 58:[8, 26], Operations: ['84-76=8', '24+2=26']
Exploring Operation: 8+26=34, Resulting Numbers: [34]
34,58 unequal: No Solution
Exploring Operation: 8*26=208, Resulting Numbers: [208]
208,58 unequal: No Solution
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,58 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 #0,0
Current State: 58:[76, 2, 60], Operations: ['84-24=60']
Exploring Operation: 76-2=74, Resulting Numbers: [60, 74]
Generated Node #0,0,0: 58:[60, 74] Operation: 76-2=74
Exploring Operation: 76/2=38, Resulting Numbers: [60, 38]
Generated Node #0,0,1: 58:[60, 38] Operation: 76/2=38
Exploring Operation: 76-60=16, Resulting Numbers: [2, 16]
Generated Node #0,0,2: 58:[2, 16] Operation: 76-60=16
Exploring Operation: 60-2=58, Resulting Numbers: [76, 58]
Generated Node #0,0,3: 58:[76, 58] Operation: 60-2=58
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 58:[60, 38], Operations: ['84-24=60', '76/2=38']
Exploring Operation: 60+38=98, Resulting Numbers: [98]
98,58 unequal: No Solution
Exploring Operation: 60-38=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Exploring Operation: 60*38=2280, Resulting Numbers: [2280]
2280,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 58:[2, 16], Operations: ['84-24=60', '76-60=16']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,58 unequal: No Solution
Exploring Operation: 2*16=32, Resulting Numbers: [32]
32,58 unequal: No Solution
Exploring Operation: 2+16=18, Resulting Numbers: [18]
18,58 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 58:[60, 74], Operations: ['84-24=60', '76-2=74']
Exploring Operation: 60+74=134, Resulting Numbers: [134]
134,58 unequal: No Solution
Exploring Operation: 60*74=4440, Resulting Numbers: [4440]
4440,58 unequal: No Solution
Exploring Operation: 74-60=14, Resulting Numbers: [14]
14,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 58:[76, 58], Operations: ['84-24=60', '60-2=58']
Exploring Operation: 76*58=4408, Resulting Numbers: [4408]
4408,58 unequal: No Solution
Exploring Operation: 76+58=134, Resulting Numbers: [134]
134,58 unequal: No Solution
Exploring Operation: 76-58=18, Resulting Numbers: [18]
18,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 58:[2, 84, 52], Operations: ['76-24=52']
Exploring Operation: 84-52=32, Resulting Numbers: [2, 32]
Generated Node #0,3,0: 58:[2, 32] Operation: 84-52=32
Exploring Operation: 84-2=82, Resulting Numbers: [52, 82]
Generated Node #0,3,1: 58:[52, 82] Operation: 84-2=82
Exploring Operation: 52/2=26, Resulting Numbers: [84, 26]
Generated Node #0,3,2: 58:[84, 26] Operation: 52/2=26
Exploring Operation: 84/2=42, Resulting Numbers: [52, 42]
Generated Node #0,3,3: 58:[52, 42] Operation: 84/2=42
Moving to Node #0,3,0
Current State: 58:[2, 32], Operations: ['76-24=52', '84-52=32']
Exploring Operation: 2+32=34, Resulting Numbers: [34]
34,58 unequal: No Solution
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,58 unequal: No Solution
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,58 unequal: No Solution
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,58 unequal: No Solution
Moving to Node #0,3,3
Current State: 58:[52, 42], Operations: ['76-24=52', '84/2=42']
Exploring Operation: 52-42=10, Resulting Numbers: [10]
10,58 unequal: No Solution
Exploring Operation: 52+42=94, Resulting Numbers: [94]
94,58 unequal: No Solution
Exploring Operation: 52*42=2184, Resulting Numbers: [2184]
2184,58 unequal: No Solution
Moving to Node #0,3,2
Current State: 58:[84, 26], Operations: ['76-24=52', '52/2=26']
Exploring Operation: 84+26=110, Resulting Numbers: [110]
110,58 unequal: No Solution
Exploring Operation: 84*26=2184, Resulting Numbers: [2184]
2184,58 unequal: No Solution
Exploring Operation: 84-26=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[76, 24, 2, 84], Operations: []
Exploring Operation: 76-24=52, Resulting Numbers: [2, 84, 52]
Generated Node #0,3: 58:[2, 84, 52] Operation: 76-24=52
Moving to Node #0,3
Current State: 58:[2, 84, 52], Operations: ['76-24=52']
Exploring Operation: 52/2=26, Resulting Numbers: [84, 26]
Generated Node #0,3,2: 58:[84, 26] Operation: 52/2=26
Moving to Node #0,3,2
Current State: 58:[84, 26], Operations: ['76-24=52', '52/2=26']
Exploring Operation: 84-26=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.950521 | hs_4 | sum_heuristic |
[
57,
47,
3,
4
] | 11 | [
"57-47=10",
"4-3=1",
"10+1=11"
] | Current State: 11:[57, 47, 3, 4], Operations: []
Exploring Operation: 57-47=10, Resulting Numbers: [3, 4, 10]
Generated Node #2: [3, 4, 10] from Operation: 57-47=10
Current State: 11:[3, 4, 10], Operations: ['57-47=10']
Exploring Operation: 4-3=1, Resulting Numbers: [10, 1]
Generated Node #3: [10, 1] from Operation: 4-3=1
Current State: 11:[10, 1], Operations: ['57-47=10', '4-3=1']
Exploring Operation: 10+1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[57, 47, 3, 4], Operations: []
Exploring Operation: 57-47=10, Resulting Numbers: [3, 4, 10]
Generated Node #0,0: 11:[3, 4, 10] Operation: 57-47=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[3, 4, 10], Operations: ['57-47=10']
Exploring Operation: 3*4=12, Resulting Numbers: [10, 12]
Generated Node #0,0,0: 11:[10, 12] Operation: 3*4=12
Moving to Node #0,0,0
Current State: 11:[10, 12], Operations: ['57-47=10', '3*4=12']
Exploring Operation: 12-10=2, Resulting Numbers: [2]
2,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
66,
47,
55,
46
] | 10 | [
"66-47=19",
"55-46=9",
"19-9=10"
] | Current State: 10:[66, 47, 55, 46], Operations: []
Exploring Operation: 66-47=19, Resulting Numbers: [55, 46, 19]
Generated Node #2: [55, 46, 19] from Operation: 66-47=19
Current State: 10:[55, 46, 19], Operations: ['66-47=19']
Exploring Operation: 55-46=9, Resulting Numbers: [19, 9]
Generated Node #3: [19, 9] from Operation: 55-46=9
Current State: 10:[19, 9], Operations: ['66-47=19', '55-46=9']
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[66, 47, 55, 46], Operations: []
Exploring Operation: 55-47=8, Resulting Numbers: [66, 46, 8]
Generated Node #0,0: 10:[66, 46, 8] Operation: 55-47=8
Exploring Operation: 66-46=20, Resulting Numbers: [47, 55, 20]
Generated Node #0,1: 10:[47, 55, 20] Operation: 66-46=20
Exploring Operation: 66-47=19, Resulting Numbers: [55, 46, 19]
Generated Node #0,2: 10:[55, 46, 19] Operation: 66-47=19
Exploring Operation: 66-55=11, Resulting Numbers: [47, 46, 11]
Generated Node #0,3: 10:[47, 46, 11] Operation: 66-55=11
Moving to Node #0,3
Current State: 10:[47, 46, 11], Operations: ['66-55=11']
Exploring Operation: 47+46=93, Resulting Numbers: [11, 93]
Generated Node #0,3,0: 10:[11, 93] Operation: 47+46=93
Exploring Operation: 47-11=36, Resulting Numbers: [46, 36]
Generated Node #0,3,1: 10:[46, 36] Operation: 47-11=36
Exploring Operation: 47-46=1, Resulting Numbers: [11, 1]
Generated Node #0,3,2: 10:[11, 1] Operation: 47-46=1
Exploring Operation: 46-11=35, Resulting Numbers: [47, 35]
Generated Node #0,3,3: 10:[47, 35] Operation: 46-11=35
Moving to Node #0,2
Current State: 10:[55, 46, 19], Operations: ['66-47=19']
Exploring Operation: 55-46=9, Resulting Numbers: [19, 9]
Generated Node #0,2,0: 10:[19, 9] Operation: 55-46=9
Exploring Operation: 55-19=36, Resulting Numbers: [46, 36]
Generated Node #0,2,1: 10:[46, 36] Operation: 55-19=36
Exploring Operation: 46-19=27, Resulting Numbers: [55, 27]
Generated Node #0,2,2: 10:[55, 27] Operation: 46-19=27
Exploring Operation: 55+46=101, Resulting Numbers: [19, 101]
Generated Node #0,2,3: 10:[19, 101] Operation: 55+46=101
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 10:[19, 9], Operations: ['66-47=19', '55-46=9']
Exploring Operation: 19+9=28, Resulting Numbers: [28]
28,10 unequal: No Solution
Exploring Operation: 19*9=171, Resulting Numbers: [171]
171,10 unequal: No Solution
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[66, 47, 55, 46], Operations: []
Exploring Operation: 66-47=19, Resulting Numbers: [55, 46, 19]
Generated Node #0,2: 10:[55, 46, 19] Operation: 66-47=19
Moving to Node #0,2
Current State: 10:[55, 46, 19], Operations: ['66-47=19']
Exploring Operation: 55-46=9, Resulting Numbers: [19, 9]
Generated Node #0,2,0: 10:[19, 9] Operation: 55-46=9
Moving to Node #0,2,0
Current State: 10:[19, 9], Operations: ['66-47=19', '55-46=9']
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | mult_heuristic |
[
49,
51,
7,
64
] | 25 | [
"51-49=2",
"64/2=32",
"32-7=25"
] | Current State: 25:[49, 51, 7, 64], Operations: []
Exploring Operation: 51-49=2, Resulting Numbers: [7, 64, 2]
Generated Node #2: [7, 64, 2] from Operation: 51-49=2
Current State: 25:[7, 64, 2], Operations: ['51-49=2']
Exploring Operation: 64/2=32, Resulting Numbers: [7, 32]
Generated Node #3: [7, 32] from Operation: 64/2=32
Current State: 25:[7, 32], Operations: ['51-49=2', '64/2=32']
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[49, 51, 7, 64], Operations: []
Exploring Operation: 64-51=13, Resulting Numbers: [49, 7, 13]
Generated Node #0,0: 25:[49, 7, 13] Operation: 64-51=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[49, 7, 13], Operations: ['64-51=13']
Exploring Operation: 49/7=7, Resulting Numbers: [13, 7]
Generated Node #0,0,0: 25:[13, 7] Operation: 49/7=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 25:[13, 7], Operations: ['64-51=13', '49/7=7']
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,25 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 | sum_heuristic |
[
18,
10,
45,
9
] | 82 | [
"18+10=28",
"45+9=54",
"28+54=82"
] | Current State: 82:[18, 10, 45, 9], Operations: []
Exploring Operation: 18+10=28, Resulting Numbers: [45, 9, 28]
Generated Node #2: [45, 9, 28] from Operation: 18+10=28
Current State: 82:[45, 9, 28], Operations: ['18+10=28']
Exploring Operation: 45+9=54, Resulting Numbers: [28, 54]
Generated Node #3: [28, 54] from Operation: 45+9=54
Current State: 82:[28, 54], Operations: ['18+10=28', '45+9=54']
Exploring Operation: 28+54=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[18, 10, 45, 9], Operations: []
Exploring Operation: 18+10=28, Resulting Numbers: [45, 9, 28]
Generated Node #0,0: 82:[45, 9, 28] Operation: 18+10=28
Exploring Operation: 18-9=9, Resulting Numbers: [10, 45, 9]
Generated Node #0,1: 82:[10, 45, 9] Operation: 18-9=9
Exploring Operation: 18/9=2, Resulting Numbers: [10, 45, 2]
Generated Node #0,2: 82:[10, 45, 2] Operation: 18/9=2
Exploring Operation: 18-10=8, Resulting Numbers: [45, 9, 8]
Generated Node #0,3: 82:[45, 9, 8] Operation: 18-10=8
Exploring Operation: 10-9=1, Resulting Numbers: [18, 45, 1]
Generated Node #0,4: 82:[18, 45, 1] Operation: 10-9=1
Start Sub Search at level 1: Moving to Node #0,2
Current State: 82:[10, 45, 2], Operations: ['18/9=2']
Exploring Operation: 45-2=43, Resulting Numbers: [10, 43]
Generated Node #0,2,0: 82:[10, 43] Operation: 45-2=43
Exploring Operation: 10/2=5, Resulting Numbers: [45, 5]
Generated Node #0,2,1: 82:[45, 5] Operation: 10/2=5
Exploring Operation: 10+45=55, Resulting Numbers: [2, 55]
Generated Node #0,2,2: 82:[2, 55] Operation: 10+45=55
Exploring Operation: 10-2=8, Resulting Numbers: [45, 8]
Generated Node #0,2,3: 82:[45, 8] Operation: 10-2=8
Exploring Operation: 45-10=35, Resulting Numbers: [2, 35]
Generated Node #0,2,4: 82:[2, 35] Operation: 45-10=35
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 82:[2, 35], Operations: ['18/9=2', '45-10=35']
Exploring Operation: 2+35=37, Resulting Numbers: [37]
37,82 unequal: No Solution
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,82 unequal: No Solution
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,82 unequal: No Solution
No 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: 82:[45, 5], Operations: ['18/9=2', '10/2=5']
Exploring Operation: 45+5=50, Resulting Numbers: [50]
50,82 unequal: No Solution
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,82 unequal: No Solution
Exploring Operation: 45/5=9, Resulting Numbers: [9]
9,82 unequal: No Solution
Exploring Operation: 45*5=225, Resulting Numbers: [225]
225,82 unequal: No Solution
No 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: 82:[10, 43], Operations: ['18/9=2', '45-2=43']
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,82 unequal: No Solution
Exploring Operation: 10*43=430, Resulting Numbers: [430]
430,82 unequal: No Solution
Exploring Operation: 10+43=53, Resulting Numbers: [53]
53,82 unequal: No Solution
No 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: 82:[45, 8], Operations: ['18/9=2', '10-2=8']
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,82 unequal: No Solution
Exploring Operation: 45*8=360, Resulting Numbers: [360]
360,82 unequal: No Solution
Exploring Operation: 45+8=53, Resulting Numbers: [53]
53,82 unequal: No Solution
No 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: 82:[2, 55], Operations: ['18/9=2', '10+45=55']
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,82 unequal: No Solution
Exploring Operation: 2*55=110, Resulting Numbers: [110]
110,82 unequal: No Solution
Exploring Operation: 2+55=57, Resulting Numbers: [57]
57,82 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: 82:[45, 9, 8], Operations: ['18-10=8']
Exploring Operation: 9-8=1, Resulting Numbers: [45, 1]
Generated Node #0,3,0: 82:[45, 1] Operation: 9-8=1
Exploring Operation: 45/9=5, Resulting Numbers: [8, 5]
Generated Node #0,3,1: 82:[8, 5] Operation: 45/9=5
Exploring Operation: 9*8=72, Resulting Numbers: [45, 72]
Generated Node #0,3,2: 82:[45, 72] Operation: 9*8=72
Exploring Operation: 45-9=36, Resulting Numbers: [8, 36]
Generated Node #0,3,3: 82:[8, 36] Operation: 45-9=36
Exploring Operation: 45-8=37, Resulting Numbers: [9, 37]
Generated Node #0,3,4: 82:[9, 37] Operation: 45-8=37
Moving to Node #0,3,0
Current State: 82:[45, 1], Operations: ['18-10=8', '9-8=1']
Exploring Operation: 45+1=46, Resulting Numbers: [46]
46,82 unequal: No Solution
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,82 unequal: No Solution
Exploring Operation: 45/1=45, Resulting Numbers: [45]
45,82 unequal: No Solution
Exploring Operation: 45*1=45, Resulting Numbers: [45]
45,82 unequal: No Solution
Moving to Node #0,3,1
Current State: 82:[8, 5], Operations: ['18-10=8', '45/9=5']
Exploring Operation: 8+5=13, Resulting Numbers: [13]
13,82 unequal: No Solution
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,82 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,82 unequal: No Solution
Moving to Node #0,3,3
Current State: 82:[8, 36], Operations: ['18-10=8', '45-9=36']
Exploring Operation: 8*36=288, Resulting Numbers: [288]
288,82 unequal: No Solution
Exploring Operation: 8+36=44, Resulting Numbers: [44]
44,82 unequal: No Solution
Exploring Operation: 36-8=28, Resulting Numbers: [28]
28,82 unequal: No Solution
Moving to Node #0,3,4
Current State: 82:[9, 37], Operations: ['18-10=8', '45-8=37']
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,82 unequal: No Solution
Exploring Operation: 9+37=46, Resulting Numbers: [46]
46,82 unequal: No Solution
Exploring Operation: 9*37=333, Resulting Numbers: [333]
333,82 unequal: No Solution
Moving to Node #0,3,2
Current State: 82:[45, 72], Operations: ['18-10=8', '9*8=72']
Exploring Operation: 45+72=117, Resulting Numbers: [117]
117,82 unequal: No Solution
Exploring Operation: 72-45=27, Resulting Numbers: [27]
27,82 unequal: No Solution
Exploring Operation: 45*72=3240, Resulting Numbers: [3240]
3240,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[10, 45, 9], Operations: ['18-9=9']
Exploring Operation: 45/9=5, Resulting Numbers: [10, 5]
Generated Node #0,1,0: 82:[10, 5] Operation: 45/9=5
Exploring Operation: 45-10=35, Resulting Numbers: [9, 35]
Generated Node #0,1,1: 82:[9, 35] Operation: 45-10=35
Exploring Operation: 45-9=36, Resulting Numbers: [10, 36]
Generated Node #0,1,2: 82:[10, 36] Operation: 45-9=36
Exploring Operation: 10*9=90, Resulting Numbers: [45, 90]
Generated Node #0,1,3: 82:[45, 90] Operation: 10*9=90
Exploring Operation: 10-9=1, Resulting Numbers: [45, 1]
Generated Node #0,1,4: 82:[45, 1] Operation: 10-9=1
Moving to Node #0,1,4
Current State: 82:[45, 1], Operations: ['18-9=9', '10-9=1']
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,82 unequal: No Solution
Exploring Operation: 45/1=45, Resulting Numbers: [45]
45,82 unequal: No Solution
Exploring Operation: 45+1=46, Resulting Numbers: [46]
46,82 unequal: No Solution
Exploring Operation: 45*1=45, Resulting Numbers: [45]
45,82 unequal: No Solution
Moving to Node #0,1,0
Current State: 82:[10, 5], Operations: ['18-9=9', '45/9=5']
Exploring Operation: 10*5=50, Resulting Numbers: [50]
50,82 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,82 unequal: No Solution
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,82 unequal: No Solution
Exploring Operation: 10+5=15, Resulting Numbers: [15]
15,82 unequal: No Solution
Moving to Node #0,1,3
Current State: 82:[45, 90], Operations: ['18-9=9', '10*9=90']
Exploring Operation: 90/45=2, Resulting Numbers: [2]
2,82 unequal: No Solution
Exploring Operation: 90-45=45, Resulting Numbers: [45]
45,82 unequal: No Solution
Exploring Operation: 45+90=135, Resulting Numbers: [135]
135,82 unequal: No Solution
Exploring Operation: 45*90=4050, Resulting Numbers: [4050]
4050,82 unequal: No Solution
Moving to Node #0,1,1
Current State: 82:[9, 35], Operations: ['18-9=9', '45-10=35']
Exploring Operation: 35-9=26, Resulting Numbers: [26]
26,82 unequal: No Solution
Exploring Operation: 9*35=315, Resulting Numbers: [315]
315,82 unequal: No Solution
Exploring Operation: 9+35=44, Resulting Numbers: [44]
44,82 unequal: No Solution
Moving to Node #0,1,2
Current State: 82:[10, 36], Operations: ['18-9=9', '45-9=36']
Exploring Operation: 10*36=360, Resulting Numbers: [360]
360,82 unequal: No Solution
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,82 unequal: No Solution
Exploring Operation: 10+36=46, Resulting Numbers: [46]
46,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 82:[18, 45, 1], Operations: ['10-9=1']
Exploring Operation: 18*1=18, Resulting Numbers: [45, 18]
Generated Node #0,4,0: 82:[45, 18] Operation: 18*1=18
Exploring Operation: 18+45=63, Resulting Numbers: [1, 63]
Generated Node #0,4,1: 82:[1, 63] Operation: 18+45=63
Exploring Operation: 45-1=44, Resulting Numbers: [18, 44]
Generated Node #0,4,2: 82:[18, 44] Operation: 45-1=44
Exploring Operation: 45-18=27, Resulting Numbers: [1, 27]
Generated Node #0,4,3: 82:[1, 27] Operation: 45-18=27
Exploring Operation: 18-1=17, Resulting Numbers: [45, 17]
Generated Node #0,4,4: 82:[45, 17] Operation: 18-1=17
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 82:[1, 27], Operations: ['10-9=1', '45-18=27']
Exploring Operation: 1+27=28, Resulting Numbers: [28]
28,82 unequal: No Solution
Exploring Operation: 27/1=27, Resulting Numbers: [27]
27,82 unequal: No Solution
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,82 unequal: No Solution
Exploring Operation: 1*27=27, Resulting Numbers: [27]
27,82 unequal: No Solution
No 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: 82:[18, 44], Operations: ['10-9=1', '45-1=44']
Exploring Operation: 18*44=792, Resulting Numbers: [792]
792,82 unequal: No Solution
Exploring Operation: 18+44=62, Resulting Numbers: [62]
62,82 unequal: No Solution
Exploring Operation: 44-18=26, Resulting Numbers: [26]
26,82 unequal: No Solution
No 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: 82:[45, 17], Operations: ['10-9=1', '18-1=17']
Exploring Operation: 45-17=28, Resulting Numbers: [28]
28,82 unequal: No Solution
Exploring Operation: 45*17=765, Resulting Numbers: [765]
765,82 unequal: No Solution
Exploring Operation: 45+17=62, Resulting Numbers: [62]
62,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 82:[45, 18], Operations: ['10-9=1', '18*1=18']
Exploring Operation: 45+18=63, Resulting Numbers: [63]
63,82 unequal: No Solution
Exploring Operation: 45*18=810, Resulting Numbers: [810]
810,82 unequal: No Solution
Exploring Operation: 45-18=27, Resulting Numbers: [27]
27,82 unequal: No Solution
No 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: 82:[1, 63], Operations: ['10-9=1', '18+45=63']
Exploring Operation: 63/1=63, Resulting Numbers: [63]
63,82 unequal: No Solution
Exploring Operation: 1+63=64, Resulting Numbers: [64]
64,82 unequal: No Solution
Exploring Operation: 1*63=63, Resulting Numbers: [63]
63,82 unequal: No Solution
Exploring Operation: 63-1=62, Resulting Numbers: [62]
62,82 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: 82:[45, 9, 28], Operations: ['18+10=28']
Exploring Operation: 28-9=19, Resulting Numbers: [45, 19]
Generated Node #0,0,0: 82:[45, 19] Operation: 28-9=19
Exploring Operation: 45/9=5, Resulting Numbers: [28, 5]
Generated Node #0,0,1: 82:[28, 5] Operation: 45/9=5
Exploring Operation: 9+28=37, Resulting Numbers: [45, 37]
Generated Node #0,0,2: 82:[45, 37] Operation: 9+28=37
Exploring Operation: 45-9=36, Resulting Numbers: [28, 36]
Generated Node #0,0,3: 82:[28, 36] Operation: 45-9=36
Exploring Operation: 45+28=73, Resulting Numbers: [9, 73]
Generated Node #0,0,4: 82:[9, 73] Operation: 45+28=73
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 82:[45, 37], Operations: ['18+10=28', '9+28=37']
Exploring Operation: 45+37=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[18, 10, 45, 9], Operations: []
Exploring Operation: 18+10=28, Resulting Numbers: [45, 9, 28]
Generated Node #0,0: 82:[45, 9, 28] Operation: 18+10=28
Moving to Node #0,0
Current State: 82:[45, 9, 28], Operations: ['18+10=28']
Exploring Operation: 9+28=37, Resulting Numbers: [45, 37]
Generated Node #0,0,2: 82:[45, 37] Operation: 9+28=37
Moving to Node #0,0,2
Current State: 82:[45, 37], Operations: ['18+10=28', '9+28=37']
Exploring Operation: 45+37=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.911458 | hs_5 | sum_heuristic |
[
73,
65,
75,
20
] | 66 | [
"65+75=140",
"140/20=7",
"73-7=66"
] | Current State: 66:[73, 65, 75, 20], Operations: []
Exploring Operation: 65+75=140, Resulting Numbers: [73, 20, 140]
Generated Node #2: [73, 20, 140] from Operation: 65+75=140
Current State: 66:[73, 20, 140], Operations: ['65+75=140']
Exploring Operation: 140/20=7, Resulting Numbers: [73, 7]
Generated Node #3: [73, 7] from Operation: 140/20=7
Current State: 66:[73, 7], Operations: ['65+75=140', '140/20=7']
Exploring Operation: 73-7=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[73, 65, 75, 20], Operations: []
Exploring Operation: 75-73=2, Resulting Numbers: [65, 20, 2]
Generated Node #0,0: 66:[65, 20, 2] Operation: 75-73=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[65, 20, 2], Operations: ['75-73=2']
Exploring Operation: 20+2=22, Resulting Numbers: [65, 22]
Generated Node #0,0,0: 66:[65, 22] Operation: 20+2=22
Moving to Node #0,0,0
Current State: 66:[65, 22], Operations: ['75-73=2', '20+2=22']
Exploring Operation: 65-22=43, Resulting Numbers: [43]
43,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
78,
3,
33,
67
] | 46 | [
"78+67=145",
"3*33=99",
"145-99=46"
] | Current State: 46:[78, 3, 33, 67], Operations: []
Exploring Operation: 78+67=145, Resulting Numbers: [3, 33, 145]
Generated Node #2: [3, 33, 145] from Operation: 78+67=145
Current State: 46:[3, 33, 145], Operations: ['78+67=145']
Exploring Operation: 3*33=99, Resulting Numbers: [145, 99]
Generated Node #3: [145, 99] from Operation: 3*33=99
Current State: 46:[145, 99], Operations: ['78+67=145', '3*33=99']
Exploring Operation: 145-99=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[78, 3, 33, 67], Operations: []
Exploring Operation: 78-33=45, Resulting Numbers: [3, 67, 45]
Generated Node #0,0: 46:[3, 67, 45] Operation: 78-33=45
Exploring Operation: 78-67=11, Resulting Numbers: [3, 33, 11]
Generated Node #0,1: 46:[3, 33, 11] Operation: 78-67=11
Start Sub Search at level 1: Moving to Node #0,1
Current State: 46:[3, 33, 11], Operations: ['78-67=11']
Exploring Operation: 33/11=3, Resulting Numbers: [3, 3]
Generated Node #0,1,0: 46:[3, 3] Operation: 33/11=3
Exploring Operation: 33-11=22, Resulting Numbers: [3, 22]
Generated Node #0,1,1: 46:[3, 22] Operation: 33-11=22
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 46:[3, 3], Operations: ['78-67=11', '33/11=3']
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,46 unequal: No Solution
Exploring Operation: 3-3=0, Resulting Numbers: [0]
0,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 46:[3, 22], Operations: ['78-67=11', '33-11=22']
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,46 unequal: No Solution
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[3, 67, 45], Operations: ['78-33=45']
Exploring Operation: 67-3=64, Resulting Numbers: [45, 64]
Generated Node #0,0,0: 46:[45, 64] Operation: 67-3=64
Exploring Operation: 67-45=22, Resulting Numbers: [3, 22]
Generated Node #0,0,1: 46:[3, 22] Operation: 67-45=22
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 46:[3, 22], Operations: ['78-33=45', '67-45=22']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,46 unequal: No Solution
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 46:[45, 64], Operations: ['78-33=45', '67-3=64']
Exploring Operation: 45+64=109, Resulting Numbers: [109]
109,46 unequal: No Solution
Exploring Operation: 64-45=19, Resulting Numbers: [19]
19,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
35,
54,
30,
59
] | 10 | [
"54-35=19",
"59-30=29",
"29-19=10"
] | Current State: 10:[35, 54, 30, 59], Operations: []
Exploring Operation: 54-35=19, Resulting Numbers: [30, 59, 19]
Generated Node #2: [30, 59, 19] from Operation: 54-35=19
Current State: 10:[30, 59, 19], Operations: ['54-35=19']
Exploring Operation: 59-30=29, Resulting Numbers: [19, 29]
Generated Node #3: [19, 29] from Operation: 59-30=29
Current State: 10:[19, 29], Operations: ['54-35=19', '59-30=29']
Exploring Operation: 29-19=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[35, 54, 30, 59], Operations: []
Exploring Operation: 59-35=24, Resulting Numbers: [54, 30, 24]
Generated Node #0,0: 10:[54, 30, 24] Operation: 59-35=24
Exploring Operation: 54-35=19, Resulting Numbers: [30, 59, 19]
Generated Node #0,1: 10:[30, 59, 19] Operation: 54-35=19
Exploring Operation: 59-54=5, Resulting Numbers: [35, 30, 5]
Generated Node #0,2: 10:[35, 30, 5] Operation: 59-54=5
Start Sub Search at level 1: Moving to Node #0,2
Current State: 10:[35, 30, 5], Operations: ['59-54=5']
Exploring Operation: 30/5=6, Resulting Numbers: [35, 6]
Generated Node #0,2,0: 10:[35, 6] Operation: 30/5=6
Exploring Operation: 35-30=5, Resulting Numbers: [5, 5]
Generated Node #0,2,1: 10:[5, 5] Operation: 35-30=5
Exploring Operation: 35/5=7, Resulting Numbers: [30, 7]
Generated Node #0,2,2: 10:[30, 7] Operation: 35/5=7
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 10:[5, 5], Operations: ['59-54=5', '35-30=5']
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[35, 54, 30, 59], Operations: []
Exploring Operation: 59-54=5, Resulting Numbers: [35, 30, 5]
Generated Node #0,2: 10:[35, 30, 5] Operation: 59-54=5
Moving to Node #0,2
Current State: 10:[35, 30, 5], Operations: ['59-54=5']
Exploring Operation: 35-30=5, Resulting Numbers: [5, 5]
Generated Node #0,2,1: 10:[5, 5] Operation: 35-30=5
Moving to Node #0,2,1
Current State: 10:[5, 5], Operations: ['59-54=5', '35-30=5']
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
27,
17,
19,
23
] | 15 | [
"27+19=46",
"46/23=2",
"17-2=15"
] | Current State: 15:[27, 17, 19, 23], Operations: []
Exploring Operation: 27+19=46, Resulting Numbers: [17, 23, 46]
Generated Node #2: [17, 23, 46] from Operation: 27+19=46
Current State: 15:[17, 23, 46], Operations: ['27+19=46']
Exploring Operation: 46/23=2, Resulting Numbers: [17, 2]
Generated Node #3: [17, 2] from Operation: 46/23=2
Current State: 15:[17, 2], Operations: ['27+19=46', '46/23=2']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[27, 17, 19, 23], Operations: []
Exploring Operation: 23-19=4, Resulting Numbers: [27, 17, 4]
Generated Node #0,0: 15:[27, 17, 4] Operation: 23-19=4
Exploring Operation: 27-19=8, Resulting Numbers: [17, 23, 8]
Generated Node #0,1: 15:[17, 23, 8] Operation: 27-19=8
Exploring Operation: 27-23=4, Resulting Numbers: [17, 19, 4]
Generated Node #0,2: 15:[17, 19, 4] Operation: 27-23=4
Exploring Operation: 27-17=10, Resulting Numbers: [19, 23, 10]
Generated Node #0,3: 15:[19, 23, 10] Operation: 27-17=10
Moving to Node #0,2
Current State: 15:[17, 19, 4], Operations: ['27-23=4']
Exploring Operation: 17-4=13, Resulting Numbers: [19, 13]
Generated Node #0,2,0: 15:[19, 13] Operation: 17-4=13
Exploring Operation: 19-17=2, Resulting Numbers: [4, 2]
Generated Node #0,2,1: 15:[4, 2] Operation: 19-17=2
Exploring Operation: 17+4=21, Resulting Numbers: [19, 21]
Generated Node #0,2,2: 15:[19, 21] Operation: 17+4=21
Exploring Operation: 19-4=15, Resulting Numbers: [17, 15]
Generated Node #0,2,3: 15:[17, 15] Operation: 19-4=15
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 15:[4, 2], Operations: ['27-23=4', '19-17=2']
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 15:[17, 15], Operations: ['27-23=4', '19-4=15']
Exploring Operation: 17-15=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Exploring Operation: 17+15=32, Resulting Numbers: [32]
32,15 unequal: No Solution
Exploring Operation: 17*15=255, Resulting Numbers: [255]
255,15 unequal: No Solution
No 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: 15:[19, 13], Operations: ['27-23=4', '17-4=13']
Exploring Operation: 19*13=247, Resulting Numbers: [247]
247,15 unequal: No Solution
Exploring Operation: 19-13=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Exploring Operation: 19+13=32, Resulting Numbers: [32]
32,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 15:[19, 21], Operations: ['27-23=4', '17+4=21']
Exploring Operation: 21-19=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Exploring Operation: 19*21=399, Resulting Numbers: [399]
399,15 unequal: No Solution
Exploring Operation: 19+21=40, Resulting Numbers: [40]
40,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 15:[17, 23, 8], Operations: ['27-19=8']
Exploring Operation: 17-8=9, Resulting Numbers: [23, 9]
Generated Node #0,1,0: 15:[23, 9] Operation: 17-8=9
Exploring Operation: 23-17=6, Resulting Numbers: [8, 6]
Generated Node #0,1,1: 15:[8, 6] Operation: 23-17=6
Exploring Operation: 23-8=15, Resulting Numbers: [17, 15]
Generated Node #0,1,2: 15:[17, 15] Operation: 23-8=15
Exploring Operation: 17+8=25, Resulting Numbers: [23, 25]
Generated Node #0,1,3: 15:[23, 25] Operation: 17+8=25
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 15:[17, 15], Operations: ['27-19=8', '23-8=15']
Exploring Operation: 17-15=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Exploring Operation: 17*15=255, Resulting Numbers: [255]
255,15 unequal: No Solution
Exploring Operation: 17+15=32, Resulting Numbers: [32]
32,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 15:[8, 6], Operations: ['27-19=8', '23-17=6']
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,15 unequal: No Solution
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 15:[23, 9], Operations: ['27-19=8', '17-8=9']
Exploring Operation: 23*9=207, Resulting Numbers: [207]
207,15 unequal: No Solution
Exploring Operation: 23+9=32, Resulting Numbers: [32]
32,15 unequal: No Solution
Exploring Operation: 23-9=14, Resulting Numbers: [14]
14,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 15:[23, 25], Operations: ['27-19=8', '17+8=25']
Exploring Operation: 23*25=575, Resulting Numbers: [575]
575,15 unequal: No Solution
Exploring Operation: 23+25=48, Resulting Numbers: [48]
48,15 unequal: No Solution
Exploring Operation: 25-23=2, Resulting Numbers: [2]
2,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 15:[27, 17, 4], Operations: ['23-19=4']
Exploring Operation: 17-4=13, Resulting Numbers: [27, 13]
Generated Node #0,0,0: 15:[27, 13] Operation: 17-4=13
Exploring Operation: 27+4=31, Resulting Numbers: [17, 31]
Generated Node #0,0,1: 15:[17, 31] Operation: 27+4=31
Exploring Operation: 27-4=23, Resulting Numbers: [17, 23]
Generated Node #0,0,2: 15:[17, 23] Operation: 27-4=23
Exploring Operation: 27-17=10, Resulting Numbers: [4, 10]
Generated Node #0,0,3: 15:[4, 10] Operation: 27-17=10
Moving to Node #0,3
Current State: 15:[19, 23, 10], Operations: ['27-17=10']
Exploring Operation: 23-19=4, Resulting Numbers: [10, 4]
Generated Node #0,3,0: 15:[10, 4] Operation: 23-19=4
Exploring Operation: 19-10=9, Resulting Numbers: [23, 9]
Generated Node #0,3,1: 15:[23, 9] Operation: 19-10=9
Exploring Operation: 19+10=29, Resulting Numbers: [23, 29]
Generated Node #0,3,2: 15:[23, 29] Operation: 19+10=29
Exploring Operation: 23-10=13, Resulting Numbers: [19, 13]
Generated Node #0,3,3: 15:[19, 13] Operation: 23-10=13
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 15:[10, 4], Operations: ['27-17=10', '23-19=4']
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 15:[19, 13], Operations: ['27-17=10', '23-10=13']
Exploring Operation: 19-13=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Exploring Operation: 19*13=247, Resulting Numbers: [247]
247,15 unequal: No Solution
Exploring Operation: 19+13=32, Resulting Numbers: [32]
32,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 15:[23, 9], Operations: ['27-17=10', '19-10=9']
Exploring Operation: 23-9=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 23*9=207, Resulting Numbers: [207]
207,15 unequal: No Solution
Exploring Operation: 23+9=32, Resulting Numbers: [32]
32,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 15:[23, 29], Operations: ['27-17=10', '19+10=29']
Exploring Operation: 23*29=667, Resulting Numbers: [667]
667,15 unequal: No Solution
Exploring Operation: 29-23=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Exploring Operation: 23+29=52, Resulting Numbers: [52]
52,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,3
Current State: 15:[4, 10], Operations: ['23-19=4', '27-17=10']
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,15 unequal: No Solution
Moving to Node #0,0,2
Current State: 15:[17, 23], Operations: ['23-19=4', '27-4=23']
Exploring Operation: 17+23=40, Resulting Numbers: [40]
40,15 unequal: No Solution
Exploring Operation: 23-17=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Exploring Operation: 17*23=391, Resulting Numbers: [391]
391,15 unequal: No Solution
Moving to Node #0,0,0
Current State: 15:[27, 13], Operations: ['23-19=4', '17-4=13']
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 27+13=40, Resulting Numbers: [40]
40,15 unequal: No Solution
Exploring Operation: 27*13=351, Resulting Numbers: [351]
351,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[17, 31], Operations: ['23-19=4', '27+4=31']
Exploring Operation: 17*31=527, Resulting Numbers: [527]
527,15 unequal: No Solution
Exploring Operation: 17+31=48, Resulting Numbers: [48]
48,15 unequal: No Solution
Exploring Operation: 31-17=14, Resulting Numbers: [14]
14,15 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
62,
5,
1,
57
] | 20 | [
"62-1=61",
"61-57=4",
"5*4=20"
] | Current State: 20:[62, 5, 1, 57], Operations: []
Exploring Operation: 62-1=61, Resulting Numbers: [5, 57, 61]
Generated Node #2: [5, 57, 61] from Operation: 62-1=61
Current State: 20:[5, 57, 61], Operations: ['62-1=61']
Exploring Operation: 61-57=4, Resulting Numbers: [5, 4]
Generated Node #3: [5, 4] from Operation: 61-57=4
Current State: 20:[5, 4], Operations: ['62-1=61', '61-57=4']
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[62, 5, 1, 57], Operations: []
Exploring Operation: 62-57=5, Resulting Numbers: [5, 1, 5]
Generated Node #0,0: 20:[5, 1, 5] Operation: 62-57=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[5, 1, 5], Operations: ['62-57=5']
Exploring Operation: 5*1=5, Resulting Numbers: [5, 5]
Generated Node #0,0,0: 20:[5, 5] Operation: 5*1=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 20:[5, 5], Operations: ['62-57=5', '5*1=5']
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
80,
17,
80,
40
] | 99 | [
"80+17=97",
"80/40=2",
"97+2=99"
] | Current State: 99:[80, 17, 80, 40], Operations: []
Exploring Operation: 80+17=97, Resulting Numbers: [40, 97]
Generated Node #2: [40, 97] from Operation: 80+17=97
Current State: 99:[40, 97], Operations: ['80+17=97']
Exploring Operation: 80/40=2, Resulting Numbers: [97, 2]
Generated Node #3: [97, 2] from Operation: 80/40=2
Current State: 99:[97, 2], Operations: ['80+17=97', '80/40=2']
Exploring Operation: 97+2=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[80, 17, 80, 40], Operations: []
Exploring Operation: 80/80=1, Resulting Numbers: [17, 40, 1]
Generated Node #0,0: 99:[17, 40, 1] Operation: 80/80=1
Exploring Operation: 80/40=2, Resulting Numbers: [17, 80, 2]
Generated Node #0,1: 99:[17, 80, 2] Operation: 80/40=2
Exploring Operation: 80-80=0, Resulting Numbers: [17, 40, 0]
Generated Node #0,2: 99:[17, 40, 0] Operation: 80-80=0
Exploring Operation: 80+17=97, Resulting Numbers: [80, 40, 97]
Generated Node #0,3: 99:[80, 40, 97] Operation: 80+17=97
Exploring Operation: 80/40=2, Resulting Numbers: [80, 17, 2]
Generated Node #0,4: 99:[80, 17, 2] Operation: 80/40=2
Moving to Node #0,0
Current State: 99:[17, 40, 1], Operations: ['80/80=1']
Exploring Operation: 17/1=17, Resulting Numbers: [40, 17]
Generated Node #0,0,0: 99:[40, 17] Operation: 17/1=17
Exploring Operation: 17-1=16, Resulting Numbers: [40, 16]
Generated Node #0,0,1: 99:[40, 16] Operation: 17-1=16
Exploring Operation: 40-17=23, Resulting Numbers: [1, 23]
Generated Node #0,0,2: 99:[1, 23] Operation: 40-17=23
Exploring Operation: 17*1=17, Resulting Numbers: [40, 17]
Generated Node #0,0,3: 99:[40, 17] Operation: 17*1=17
Exploring Operation: 40-1=39, Resulting Numbers: [17, 39]
Generated Node #0,0,4: 99:[17, 39] Operation: 40-1=39
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 99:[40, 16], Operations: ['80/80=1', '17-1=16']
Exploring Operation: 40-16=24, Resulting Numbers: [24]
24,99 unequal: No Solution
Exploring Operation: 40+16=56, Resulting Numbers: [56]
56,99 unequal: No Solution
Exploring Operation: 40*16=640, Resulting Numbers: [640]
640,99 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:[1, 23], Operations: ['80/80=1', '40-17=23']
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,99 unequal: No Solution
Exploring Operation: 23/1=23, Resulting Numbers: [23]
23,99 unequal: No Solution
Exploring Operation: 1+23=24, Resulting Numbers: [24]
24,99 unequal: No Solution
Exploring Operation: 1*23=23, Resulting Numbers: [23]
23,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 99:[17, 39], Operations: ['80/80=1', '40-1=39']
Exploring Operation: 39-17=22, Resulting Numbers: [22]
22,99 unequal: No Solution
Exploring Operation: 17*39=663, Resulting Numbers: [663]
663,99 unequal: No Solution
Exploring Operation: 17+39=56, Resulting Numbers: [56]
56,99 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 #0,0,0
Current State: 99:[40, 17], Operations: ['80/80=1', '17/1=17']
Exploring Operation: 40*17=680, Resulting Numbers: [680]
680,99 unequal: No Solution
Exploring Operation: 40-17=23, Resulting Numbers: [23]
23,99 unequal: No Solution
Exploring Operation: 40+17=57, Resulting Numbers: [57]
57,99 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:[40, 17], Operations: ['80/80=1', '17*1=17']
Exploring Operation: 40*17=680, Resulting Numbers: [680]
680,99 unequal: No Solution
Exploring Operation: 40+17=57, Resulting Numbers: [57]
57,99 unequal: No Solution
Exploring Operation: 40-17=23, Resulting Numbers: [23]
23,99 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:[17, 40, 0], Operations: ['80-80=0']
Exploring Operation: 40-17=23, Resulting Numbers: [0, 23]
Generated Node #0,2,0: 99:[0, 23] Operation: 40-17=23
Exploring Operation: 40*0=0, Resulting Numbers: [17, 0]
Generated Node #0,2,1: 99:[17, 0] Operation: 40*0=0
Exploring Operation: 17-0=17, Resulting Numbers: [40, 17]
Generated Node #0,2,2: 99:[40, 17] Operation: 17-0=17
Exploring Operation: 17*0=0, Resulting Numbers: [40, 0]
Generated Node #0,2,3: 99:[40, 0] Operation: 17*0=0
Exploring Operation: 17+0=17, Resulting Numbers: [40, 17]
Generated Node #0,2,4: 99:[40, 17] Operation: 17+0=17
Moving to Node #0,1
Current State: 99:[17, 80, 2], Operations: ['80/40=2']
Exploring Operation: 17*2=34, Resulting Numbers: [80, 34]
Generated Node #0,1,0: 99:[80, 34] Operation: 17*2=34
Exploring Operation: 17+80=97, Resulting Numbers: [2, 97]
Generated Node #0,1,1: 99:[2, 97] Operation: 17+80=97
Exploring Operation: 80/2=40, Resulting Numbers: [17, 40]
Generated Node #0,1,2: 99:[17, 40] Operation: 80/2=40
Exploring Operation: 80+2=82, Resulting Numbers: [17, 82]
Generated Node #0,1,3: 99:[17, 82] Operation: 80+2=82
Exploring Operation: 17-2=15, Resulting Numbers: [80, 15]
Generated Node #0,1,4: 99:[80, 15] Operation: 17-2=15
Moving to Node #0,4
Current State: 99:[80, 17, 2], Operations: ['80/40=2']
Exploring Operation: 17-2=15, Resulting Numbers: [80, 15]
Generated Node #0,4,0: 99:[80, 15] Operation: 17-2=15
Exploring Operation: 80/2=40, Resulting Numbers: [17, 40]
Generated Node #0,4,1: 99:[17, 40] Operation: 80/2=40
Exploring Operation: 80+2=82, Resulting Numbers: [17, 82]
Generated Node #0,4,2: 99:[17, 82] Operation: 80+2=82
Exploring Operation: 17*2=34, Resulting Numbers: [80, 34]
Generated Node #0,4,3: 99:[80, 34] Operation: 17*2=34
Exploring Operation: 80+17=97, Resulting Numbers: [2, 97]
Generated Node #0,4,4: 99:[2, 97] Operation: 80+17=97
Moving to Node #0,3
Current State: 99:[80, 40, 97], Operations: ['80+17=97']
Exploring Operation: 97-80=17, Resulting Numbers: [40, 17]
Generated Node #0,3,0: 99:[40, 17] Operation: 97-80=17
Exploring Operation: 80/40=2, Resulting Numbers: [97, 2]
Generated Node #0,3,1: 99:[97, 2] Operation: 80/40=2
Exploring Operation: 97-40=57, Resulting Numbers: [80, 57]
Generated Node #0,3,2: 99:[80, 57] Operation: 97-40=57
Exploring Operation: 80-40=40, Resulting Numbers: [97, 40]
Generated Node #0,3,3: 99:[97, 40] Operation: 80-40=40
Exploring Operation: 80+40=120, Resulting Numbers: [97, 120]
Generated Node #0,3,4: 99:[97, 120] Operation: 80+40=120
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 99:[97, 2], Operations: ['80+17=97', '80/40=2']
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,99 unequal: No Solution
Exploring Operation: 97+2=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[80, 17, 80, 40], Operations: []
Exploring Operation: 80+17=97, Resulting Numbers: [80, 40, 97]
Generated Node #0,3: 99:[80, 40, 97] Operation: 80+17=97
Moving to Node #0,3
Current State: 99:[80, 40, 97], Operations: ['80+17=97']
Exploring Operation: 80/40=2, Resulting Numbers: [97, 2]
Generated Node #0,3,1: 99:[97, 2] Operation: 80/40=2
Moving to Node #0,3,1
Current State: 99:[97, 2], Operations: ['80+17=97', '80/40=2']
Exploring Operation: 97+2=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 1
| 0.954861 | hs_5 | mult_heuristic |
[
3,
50,
60,
68
] | 14 | [
"50+60=110",
"110-68=42",
"42/3=14"
] | Current State: 14:[3, 50, 60, 68], Operations: []
Exploring Operation: 50+60=110, Resulting Numbers: [3, 68, 110]
Generated Node #2: [3, 68, 110] from Operation: 50+60=110
Current State: 14:[3, 68, 110], Operations: ['50+60=110']
Exploring Operation: 110-68=42, Resulting Numbers: [3, 42]
Generated Node #3: [3, 42] from Operation: 110-68=42
Current State: 14:[3, 42], Operations: ['50+60=110', '110-68=42']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[3, 50, 60, 68], Operations: []
Exploring Operation: 68-60=8, Resulting Numbers: [3, 50, 8]
Generated Node #0,0: 14:[3, 50, 8] Operation: 68-60=8
Exploring Operation: 68-50=18, Resulting Numbers: [3, 60, 18]
Generated Node #0,1: 14:[3, 60, 18] Operation: 68-50=18
Moving to Node #0,0
Current State: 14:[3, 50, 8], Operations: ['68-60=8']
Exploring Operation: 50-8=42, Resulting Numbers: [3, 42]
Generated Node #0,0,0: 14:[3, 42] Operation: 50-8=42
Exploring Operation: 50-3=47, Resulting Numbers: [8, 47]
Generated Node #0,0,1: 14:[8, 47] Operation: 50-3=47
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 14:[3, 42], Operations: ['68-60=8', '50-8=42']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[3, 50, 60, 68], Operations: []
Exploring Operation: 68-60=8, Resulting Numbers: [3, 50, 8]
Generated Node #0,0: 14:[3, 50, 8] Operation: 68-60=8
Moving to Node #0,0
Current State: 14:[3, 50, 8], Operations: ['68-60=8']
Exploring Operation: 50-8=42, Resulting Numbers: [3, 42]
Generated Node #0,0,0: 14:[3, 42] Operation: 50-8=42
Moving to Node #0,0,0
Current State: 14:[3, 42], Operations: ['68-60=8', '50-8=42']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
78,
93,
44,
28
] | 57 | [
"93-78=15",
"44+28=72",
"72-15=57"
] | Current State: 57:[78, 93, 44, 28], Operations: []
Exploring Operation: 93-78=15, Resulting Numbers: [44, 28, 15]
Generated Node #2: [44, 28, 15] from Operation: 93-78=15
Current State: 57:[44, 28, 15], Operations: ['93-78=15']
Exploring Operation: 44+28=72, Resulting Numbers: [15, 72]
Generated Node #3: [15, 72] from Operation: 44+28=72
Current State: 57:[15, 72], Operations: ['93-78=15', '44+28=72']
Exploring Operation: 72-15=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[78, 93, 44, 28], Operations: []
Exploring Operation: 93-28=65, Resulting Numbers: [78, 44, 65]
Generated Node #0,0: 57:[78, 44, 65] Operation: 93-28=65
Exploring Operation: 93-44=49, Resulting Numbers: [78, 28, 49]
Generated Node #0,1: 57:[78, 28, 49] Operation: 93-44=49
Exploring Operation: 93-78=15, Resulting Numbers: [44, 28, 15]
Generated Node #0,2: 57:[44, 28, 15] Operation: 93-78=15
Start Sub Search at level 1: Moving to Node #0,2
Current State: 57:[44, 28, 15], Operations: ['93-78=15']
Exploring Operation: 44-28=16, Resulting Numbers: [15, 16]
Generated Node #0,2,0: 57:[15, 16] Operation: 44-28=16
Exploring Operation: 44+28=72, Resulting Numbers: [15, 72]
Generated Node #0,2,1: 57:[15, 72] Operation: 44+28=72
Exploring Operation: 44+15=59, Resulting Numbers: [28, 59]
Generated Node #0,2,2: 57:[28, 59] Operation: 44+15=59
Moving to Node #0,2,0
Current State: 57:[15, 16], Operations: ['93-78=15', '44-28=16']
Exploring Operation: 15*16=240, Resulting Numbers: [240]
240,57 unequal: No Solution
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,57 unequal: No Solution
Exploring Operation: 15+16=31, Resulting Numbers: [31]
31,57 unequal: No Solution
Moving to Node #0,2,2
Current State: 57:[28, 59], Operations: ['93-78=15', '44+15=59']
Exploring Operation: 59-28=31, Resulting Numbers: [31]
31,57 unequal: No Solution
Exploring Operation: 28+59=87, Resulting Numbers: [87]
87,57 unequal: No Solution
Exploring Operation: 28*59=1652, Resulting Numbers: [1652]
1652,57 unequal: No Solution
Moving to Node #0,2,1
Current State: 57:[15, 72], Operations: ['93-78=15', '44+28=72']
Exploring Operation: 72-15=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[78, 93, 44, 28], Operations: []
Exploring Operation: 93-78=15, Resulting Numbers: [44, 28, 15]
Generated Node #0,2: 57:[44, 28, 15] Operation: 93-78=15
Moving to Node #0,2
Current State: 57:[44, 28, 15], Operations: ['93-78=15']
Exploring Operation: 44+28=72, Resulting Numbers: [15, 72]
Generated Node #0,2,1: 57:[15, 72] Operation: 44+28=72
Moving to Node #0,2,1
Current State: 57:[15, 72], Operations: ['93-78=15', '44+28=72']
Exploring Operation: 72-15=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | mult_heuristic |
[
3,
14,
2,
56
] | 35 | [
"3*14=42",
"42/2=21",
"56-21=35"
] | Current State: 35:[3, 14, 2, 56], Operations: []
Exploring Operation: 3*14=42, Resulting Numbers: [2, 56, 42]
Generated Node #2: [2, 56, 42] from Operation: 3*14=42
Current State: 35:[2, 56, 42], Operations: ['3*14=42']
Exploring Operation: 42/2=21, Resulting Numbers: [56, 21]
Generated Node #3: [56, 21] from Operation: 42/2=21
Current State: 35:[56, 21], Operations: ['3*14=42', '42/2=21']
Exploring Operation: 56-21=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[3, 14, 2, 56], Operations: []
Exploring Operation: 56/14=4, Resulting Numbers: [3, 2, 4]
Generated Node #0,0: 35:[3, 2, 4] Operation: 56/14=4
Exploring Operation: 56/2=28, Resulting Numbers: [3, 14, 28]
Generated Node #0,1: 35:[3, 14, 28] Operation: 56/2=28
Exploring Operation: 14/2=7, Resulting Numbers: [3, 56, 7]
Generated Node #0,2: 35:[3, 56, 7] Operation: 14/2=7
Exploring Operation: 56-14=42, Resulting Numbers: [3, 2, 42]
Generated Node #0,3: 35:[3, 2, 42] Operation: 56-14=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[3, 2, 4], Operations: ['56/14=4']
Exploring Operation: 3*2=6, Resulting Numbers: [4, 6]
Generated Node #0,0,0: 35:[4, 6] Operation: 3*2=6
Exploring Operation: 3+2=5, Resulting Numbers: [4, 5]
Generated Node #0,0,1: 35:[4, 5] Operation: 3+2=5
Exploring Operation: 2+4=6, Resulting Numbers: [3, 6]
Generated Node #0,0,2: 35:[3, 6] Operation: 2+4=6
Exploring Operation: 3+4=7, Resulting Numbers: [2, 7]
Generated Node #0,0,3: 35:[2, 7] Operation: 3+4=7
Moving to Node #0,0,1
Current State: 35:[4, 5], Operations: ['56/14=4', '3+2=5']
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,35 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,35 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,35 unequal: No Solution
Moving to Node #0,0,0
Current State: 35:[4, 6], Operations: ['56/14=4', '3*2=6']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,35 unequal: No Solution
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,35 unequal: No Solution
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Moving to Node #0,0,3
Current State: 35:[2, 7], Operations: ['56/14=4', '3+4=7']
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,35 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,35 unequal: No Solution
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,35 unequal: No Solution
Moving to Node #0,0,2
Current State: 35:[3, 6], Operations: ['56/14=4', '2+4=6']
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,35 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,35 unequal: No Solution
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,35 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 #0,3
Current State: 35:[3, 2, 42], Operations: ['56-14=42']
Exploring Operation: 42-2=40, Resulting Numbers: [3, 40]
Generated Node #0,3,0: 35:[3, 40] Operation: 42-2=40
Exploring Operation: 42-3=39, Resulting Numbers: [2, 39]
Generated Node #0,3,1: 35:[2, 39] Operation: 42-3=39
Exploring Operation: 3*2=6, Resulting Numbers: [42, 6]
Generated Node #0,3,2: 35:[42, 6] Operation: 3*2=6
Exploring Operation: 3+2=5, Resulting Numbers: [42, 5]
Generated Node #0,3,3: 35:[42, 5] Operation: 3+2=5
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 35:[3, 40], Operations: ['56-14=42', '42-2=40']
Exploring Operation: 3*40=120, Resulting Numbers: [120]
120,35 unequal: No Solution
Exploring Operation: 3+40=43, Resulting Numbers: [43]
43,35 unequal: No Solution
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,35 unequal: No Solution
No 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: 35:[2, 39], Operations: ['56-14=42', '42-3=39']
Exploring Operation: 2*39=78, Resulting Numbers: [78]
78,35 unequal: No Solution
Exploring Operation: 2+39=41, Resulting Numbers: [41]
41,35 unequal: No Solution
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,35 unequal: No Solution
No 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: 35:[42, 5], Operations: ['56-14=42', '3+2=5']
Exploring Operation: 42+5=47, Resulting Numbers: [47]
47,35 unequal: No Solution
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,35 unequal: No Solution
Exploring Operation: 42*5=210, Resulting Numbers: [210]
210,35 unequal: No Solution
No 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: 35:[42, 6], Operations: ['56-14=42', '3*2=6']
Exploring Operation: 42+6=48, Resulting Numbers: [48]
48,35 unequal: No Solution
Exploring Operation: 42*6=252, Resulting Numbers: [252]
252,35 unequal: No Solution
Exploring Operation: 42/6=7, Resulting Numbers: [7]
7,35 unequal: No Solution
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,35 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: 35:[3, 14, 28], Operations: ['56/2=28']
Exploring Operation: 28/14=2, Resulting Numbers: [3, 2]
Generated Node #0,1,0: 35:[3, 2] Operation: 28/14=2
Exploring Operation: 14+28=42, Resulting Numbers: [3, 42]
Generated Node #0,1,1: 35:[3, 42] Operation: 14+28=42
Exploring Operation: 28-14=14, Resulting Numbers: [3, 14]
Generated Node #0,1,2: 35:[3, 14] Operation: 28-14=14
Exploring Operation: 14-3=11, Resulting Numbers: [28, 11]
Generated Node #0,1,3: 35:[28, 11] Operation: 14-3=11
Moving to Node #0,1,0
Current State: 35:[3, 2], Operations: ['56/2=28', '28/14=2']
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,35 unequal: No Solution
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,35 unequal: No Solution
Moving to Node #0,1,2
Current State: 35:[3, 14], Operations: ['56/2=28', '28-14=14']
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,35 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,35 unequal: No Solution
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,35 unequal: No Solution
Moving to Node #0,1,1
Current State: 35:[3, 42], Operations: ['56/2=28', '14+28=42']
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,35 unequal: No Solution
Exploring Operation: 3*42=126, Resulting Numbers: [126]
126,35 unequal: No Solution
Exploring Operation: 3+42=45, Resulting Numbers: [45]
45,35 unequal: No Solution
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,35 unequal: No Solution
Moving to Node #0,1,3
Current State: 35:[28, 11], Operations: ['56/2=28', '14-3=11']
Exploring Operation: 28*11=308, Resulting Numbers: [308]
308,35 unequal: No Solution
Exploring Operation: 28+11=39, Resulting Numbers: [39]
39,35 unequal: No Solution
Exploring Operation: 28-11=17, Resulting Numbers: [17]
17,35 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 #0,2
Current State: 35:[3, 56, 7], Operations: ['14/2=7']
Exploring Operation: 56-7=49, Resulting Numbers: [3, 49]
Generated Node #0,2,0: 35:[3, 49] Operation: 56-7=49
Exploring Operation: 56-3=53, Resulting Numbers: [7, 53]
Generated Node #0,2,1: 35:[7, 53] Operation: 56-3=53
Exploring Operation: 56/7=8, Resulting Numbers: [3, 8]
Generated Node #0,2,2: 35:[3, 8] Operation: 56/7=8
Exploring Operation: 7-3=4, Resulting Numbers: [56, 4]
Generated Node #0,2,3: 35:[56, 4] Operation: 7-3=4
Moving to Node #0,2,2
Current State: 35:[3, 8], Operations: ['14/2=7', '56/7=8']
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,35 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,35 unequal: No Solution
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,35 unequal: No Solution
Moving to Node #0,2,0
Current State: 35:[3, 49], Operations: ['14/2=7', '56-7=49']
Exploring Operation: 3*49=147, Resulting Numbers: [147]
147,35 unequal: No Solution
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,35 unequal: No Solution
Exploring Operation: 3+49=52, Resulting Numbers: [52]
52,35 unequal: No Solution
Moving to Node #0,2,1
Current State: 35:[7, 53], Operations: ['14/2=7', '56-3=53']
Exploring Operation: 7+53=60, Resulting Numbers: [60]
60,35 unequal: No Solution
Exploring Operation: 7*53=371, Resulting Numbers: [371]
371,35 unequal: No Solution
Exploring Operation: 53-7=46, Resulting Numbers: [46]
46,35 unequal: No Solution
Moving to Node #0,2,3
Current State: 35:[56, 4], Operations: ['14/2=7', '7-3=4']
Exploring Operation: 56+4=60, Resulting Numbers: [60]
60,35 unequal: No Solution
Exploring Operation: 56*4=224, Resulting Numbers: [224]
224,35 unequal: No Solution
Exploring Operation: 56-4=52, Resulting Numbers: [52]
52,35 unequal: No Solution
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
91,
31,
10,
18
] | 88 | [
"91-31=60",
"10+18=28",
"60+28=88"
] | Current State: 88:[91, 31, 10, 18], Operations: []
Exploring Operation: 91-31=60, Resulting Numbers: [10, 18, 60]
Generated Node #2: [10, 18, 60] from Operation: 91-31=60
Current State: 88:[10, 18, 60], Operations: ['91-31=60']
Exploring Operation: 10+18=28, Resulting Numbers: [60, 28]
Generated Node #3: [60, 28] from Operation: 10+18=28
Current State: 88:[60, 28], Operations: ['91-31=60', '10+18=28']
Exploring Operation: 60+28=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[91, 31, 10, 18], Operations: []
Exploring Operation: 31-18=13, Resulting Numbers: [91, 10, 13]
Generated Node #0,0: 88:[91, 10, 13] Operation: 31-18=13
Exploring Operation: 31-10=21, Resulting Numbers: [91, 18, 21]
Generated Node #0,1: 88:[91, 18, 21] Operation: 31-10=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[91, 10, 13], Operations: ['31-18=13']
Exploring Operation: 91/13=7, Resulting Numbers: [10, 7]
Generated Node #0,0,0: 88:[10, 7] Operation: 91/13=7
Exploring Operation: 10+13=23, Resulting Numbers: [91, 23]
Generated Node #0,0,1: 88:[91, 23] Operation: 10+13=23
Moving to Node #0,0,0
Current State: 88:[10, 7], Operations: ['31-18=13', '91/13=7']
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Exploring Operation: 10+7=17, Resulting Numbers: [17]
17,88 unequal: No Solution
Moving to Node #0,0,1
Current State: 88:[91, 23], Operations: ['31-18=13', '10+13=23']
Exploring Operation: 91-23=68, Resulting Numbers: [68]
68,88 unequal: No Solution
Exploring Operation: 91+23=114, Resulting Numbers: [114]
114,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 88:[91, 18, 21], Operations: ['31-10=21']
Exploring Operation: 21-18=3, Resulting Numbers: [91, 3]
Generated Node #0,1,0: 88:[91, 3] Operation: 21-18=3
Exploring Operation: 18+21=39, Resulting Numbers: [91, 39]
Generated Node #0,1,1: 88:[91, 39] Operation: 18+21=39
Moving to Node #0,1,0
Current State: 88:[91, 3], Operations: ['31-10=21', '21-18=3']
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[91, 31, 10, 18], Operations: []
Exploring Operation: 31-10=21, Resulting Numbers: [91, 18, 21]
Generated Node #0,1: 88:[91, 18, 21] Operation: 31-10=21
Moving to Node #0,1
Current State: 88:[91, 18, 21], Operations: ['31-10=21']
Exploring Operation: 21-18=3, Resulting Numbers: [91, 3]
Generated Node #0,1,0: 88:[91, 3] Operation: 21-18=3
Moving to Node #0,1,0
Current State: 88:[91, 3], Operations: ['31-10=21', '21-18=3']
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
90,
23,
74,
59
] | 29 | [
"74-59=15",
"90/15=6",
"23+6=29"
] | Current State: 29:[90, 23, 74, 59], Operations: []
Exploring Operation: 74-59=15, Resulting Numbers: [90, 23, 15]
Generated Node #2: [90, 23, 15] from Operation: 74-59=15
Current State: 29:[90, 23, 15], Operations: ['74-59=15']
Exploring Operation: 90/15=6, Resulting Numbers: [23, 6]
Generated Node #3: [23, 6] from Operation: 90/15=6
Current State: 29:[23, 6], Operations: ['74-59=15', '90/15=6']
Exploring Operation: 23+6=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[90, 23, 74, 59], Operations: []
Exploring Operation: 90-74=16, Resulting Numbers: [23, 59, 16]
Generated Node #0,0: 29:[23, 59, 16] Operation: 90-74=16
Exploring Operation: 90-59=31, Resulting Numbers: [23, 74, 31]
Generated Node #0,1: 29:[23, 74, 31] Operation: 90-59=31
Moving to Node #0,0
Current State: 29:[23, 59, 16], Operations: ['90-74=16']
Exploring Operation: 59-23=36, Resulting Numbers: [16, 36]
Generated Node #0,0,0: 29:[16, 36] Operation: 59-23=36
Exploring Operation: 59-16=43, Resulting Numbers: [23, 43]
Generated Node #0,0,1: 29:[23, 43] Operation: 59-16=43
Moving to Node #0,1
Current State: 29:[23, 74, 31], Operations: ['90-59=31']
Exploring Operation: 74-31=43, Resulting Numbers: [23, 43]
Generated Node #0,1,0: 29:[23, 43] Operation: 74-31=43
Exploring Operation: 74-23=51, Resulting Numbers: [31, 51]
Generated Node #0,1,1: 29:[31, 51] Operation: 74-23=51
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 29:[23, 43], Operations: ['90-59=31', '74-31=43']
Exploring Operation: 43-23=20, Resulting Numbers: [20]
20,29 unequal: No Solution
Exploring Operation: 23+43=66, Resulting Numbers: [66]
66,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 29:[31, 51], Operations: ['90-59=31', '74-23=51']
Exploring Operation: 31+51=82, Resulting Numbers: [82]
82,29 unequal: No Solution
Exploring Operation: 51-31=20, Resulting Numbers: [20]
20,29 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: 29:[16, 36], Operations: ['90-74=16', '59-23=36']
Exploring Operation: 16+36=52, Resulting Numbers: [52]
52,29 unequal: No Solution
Exploring Operation: 36-16=20, Resulting Numbers: [20]
20,29 unequal: No Solution
Moving to Node #0,0,1
Current State: 29:[23, 43], Operations: ['90-74=16', '59-16=43']
Exploring Operation: 23+43=66, Resulting Numbers: [66]
66,29 unequal: No Solution
Exploring Operation: 43-23=20, Resulting Numbers: [20]
20,29 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
39,
60,
87,
47
] | 61 | [
"60-39=21",
"87-47=40",
"21+40=61"
] | Current State: 61:[39, 60, 87, 47], Operations: []
Exploring Operation: 60-39=21, Resulting Numbers: [87, 47, 21]
Generated Node #2: [87, 47, 21] from Operation: 60-39=21
Current State: 61:[87, 47, 21], Operations: ['60-39=21']
Exploring Operation: 87-47=40, Resulting Numbers: [21, 40]
Generated Node #3: [21, 40] from Operation: 87-47=40
Current State: 61:[21, 40], Operations: ['60-39=21', '87-47=40']
Exploring Operation: 21+40=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[39, 60, 87, 47], Operations: []
Exploring Operation: 87-47=40, Resulting Numbers: [39, 60, 40]
Generated Node #0,0: 61:[39, 60, 40] Operation: 87-47=40
Exploring Operation: 87-39=48, Resulting Numbers: [60, 47, 48]
Generated Node #0,1: 61:[60, 47, 48] Operation: 87-39=48
Moving to Node #0,1
Current State: 61:[60, 47, 48], Operations: ['87-39=48']
Exploring Operation: 47+48=95, Resulting Numbers: [60, 95]
Generated Node #0,1,0: 61:[60, 95] Operation: 47+48=95
Exploring Operation: 60+47=107, Resulting Numbers: [48, 107]
Generated Node #0,1,1: 61:[48, 107] Operation: 60+47=107
Moving to Node #0,0
Current State: 61:[39, 60, 40], Operations: ['87-47=40']
Exploring Operation: 39+40=79, Resulting Numbers: [60, 79]
Generated Node #0,0,0: 61:[60, 79] Operation: 39+40=79
Exploring Operation: 39+60=99, Resulting Numbers: [40, 99]
Generated Node #0,0,1: 61:[40, 99] Operation: 39+60=99
Moving to Node #0,0,0
Current State: 61:[60, 79], Operations: ['87-47=40', '39+40=79']
Exploring Operation: 79-60=19, Resulting Numbers: [19]
19,61 unequal: No Solution
Exploring Operation: 60+79=139, Resulting Numbers: [139]
139,61 unequal: No Solution
Moving to Node #0,1,0
Current State: 61:[60, 95], Operations: ['87-39=48', '47+48=95']
Exploring Operation: 60+95=155, Resulting Numbers: [155]
155,61 unequal: No Solution
Exploring Operation: 95-60=35, Resulting Numbers: [35]
35,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[48, 107], Operations: ['87-39=48', '60+47=107']
Exploring Operation: 107-48=59, Resulting Numbers: [59]
59,61 unequal: No Solution
Exploring Operation: 48+107=155, Resulting Numbers: [155]
155,61 unequal: No Solution
Moving to Node #0,0,1
Current State: 61:[40, 99], Operations: ['87-47=40', '39+60=99']
Exploring Operation: 40+99=139, Resulting Numbers: [139]
139,61 unequal: No Solution
Exploring Operation: 99-40=59, Resulting Numbers: [59]
59,61 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
60,
25,
48,
34
] | 99 | [
"60+25=85",
"48-34=14",
"85+14=99"
] | Current State: 99:[60, 25, 48, 34], Operations: []
Exploring Operation: 60+25=85, Resulting Numbers: [48, 34, 85]
Generated Node #2: [48, 34, 85] from Operation: 60+25=85
Current State: 99:[48, 34, 85], Operations: ['60+25=85']
Exploring Operation: 48-34=14, Resulting Numbers: [85, 14]
Generated Node #3: [85, 14] from Operation: 48-34=14
Current State: 99:[85, 14], Operations: ['60+25=85', '48-34=14']
Exploring Operation: 85+14=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[60, 25, 48, 34], Operations: []
Exploring Operation: 60-48=12, Resulting Numbers: [25, 34, 12]
Generated Node #0,0: 99:[25, 34, 12] Operation: 60-48=12
Exploring Operation: 60-25=35, Resulting Numbers: [48, 34, 35]
Generated Node #0,1: 99:[48, 34, 35] Operation: 60-25=35
Exploring Operation: 60+48=108, Resulting Numbers: [25, 34, 108]
Generated Node #0,2: 99:[25, 34, 108] Operation: 60+48=108
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[25, 34, 12], Operations: ['60-48=12']
Exploring Operation: 25+12=37, Resulting Numbers: [34, 37]
Generated Node #0,0,0: 99:[34, 37] Operation: 25+12=37
Exploring Operation: 34-25=9, Resulting Numbers: [12, 9]
Generated Node #0,0,1: 99:[12, 9] Operation: 34-25=9
Exploring Operation: 25-12=13, Resulting Numbers: [34, 13]
Generated Node #0,0,2: 99:[34, 13] Operation: 25-12=13
Moving to Node #0,0,1
Current State: 99:[12, 9], Operations: ['60-48=12', '34-25=9']
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,99 unequal: No Solution
Exploring Operation: 12*9=108, Resulting Numbers: [108]
108,99 unequal: No Solution
Exploring Operation: 12+9=21, Resulting Numbers: [21]
21,99 unequal: No Solution
Moving to Node #0,0,2
Current State: 99:[34, 13], Operations: ['60-48=12', '25-12=13']
Exploring Operation: 34*13=442, Resulting Numbers: [442]
442,99 unequal: No Solution
Exploring Operation: 34-13=21, Resulting Numbers: [21]
21,99 unequal: No Solution
Exploring Operation: 34+13=47, Resulting Numbers: [47]
47,99 unequal: No Solution
Moving to Node #0,0,0
Current State: 99:[34, 37], Operations: ['60-48=12', '25+12=37']
Exploring Operation: 37-34=3, Resulting Numbers: [3]
3,99 unequal: No Solution
Exploring Operation: 34*37=1258, Resulting Numbers: [1258]
1258,99 unequal: No Solution
Exploring Operation: 34+37=71, Resulting Numbers: [71]
71,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 99:[48, 34, 35], Operations: ['60-25=35']
Exploring Operation: 48+35=83, Resulting Numbers: [34, 83]
Generated Node #0,1,0: 99:[34, 83] Operation: 48+35=83
Exploring Operation: 48-35=13, Resulting Numbers: [34, 13]
Generated Node #0,1,1: 99:[34, 13] Operation: 48-35=13
Exploring Operation: 48-34=14, Resulting Numbers: [35, 14]
Generated Node #0,1,2: 99:[35, 14] Operation: 48-34=14
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 99:[34, 13], Operations: ['60-25=35', '48-35=13']
Exploring Operation: 34-13=21, Resulting Numbers: [21]
21,99 unequal: No Solution
Exploring Operation: 34+13=47, Resulting Numbers: [47]
47,99 unequal: No Solution
Exploring Operation: 34*13=442, Resulting Numbers: [442]
442,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 99:[35, 14], Operations: ['60-25=35', '48-34=14']
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,99 unequal: No Solution
Exploring Operation: 35*14=490, Resulting Numbers: [490]
490,99 unequal: No Solution
Exploring Operation: 35+14=49, Resulting Numbers: [49]
49,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 99:[34, 83], Operations: ['60-25=35', '48+35=83']
Exploring Operation: 34*83=2822, Resulting Numbers: [2822]
2822,99 unequal: No Solution
Exploring Operation: 83-34=49, Resulting Numbers: [49]
49,99 unequal: No Solution
Exploring Operation: 34+83=117, Resulting Numbers: [117]
117,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 99:[25, 34, 108], Operations: ['60+48=108']
Exploring Operation: 34-25=9, Resulting Numbers: [108, 9]
Generated Node #0,2,0: 99:[108, 9] Operation: 34-25=9
Exploring Operation: 108-34=74, Resulting Numbers: [25, 74]
Generated Node #0,2,1: 99:[25, 74] Operation: 108-34=74
Exploring Operation: 108-25=83, Resulting Numbers: [34, 83]
Generated Node #0,2,2: 99:[34, 83] Operation: 108-25=83
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 99:[108, 9], Operations: ['60+48=108', '34-25=9']
Exploring Operation: 108/9=12, Resulting Numbers: [12]
12,99 unequal: No Solution
Exploring Operation: 108-9=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[60, 25, 48, 34], Operations: []
Exploring Operation: 60+48=108, Resulting Numbers: [25, 34, 108]
Generated Node #0,2: 99:[25, 34, 108] Operation: 60+48=108
Moving to Node #0,2
Current State: 99:[25, 34, 108], Operations: ['60+48=108']
Exploring Operation: 34-25=9, Resulting Numbers: [108, 9]
Generated Node #0,2,0: 99:[108, 9] Operation: 34-25=9
Moving to Node #0,2,0
Current State: 99:[108, 9], Operations: ['60+48=108', '34-25=9']
Exploring Operation: 108-9=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.96875 | hs_3 | mult_heuristic |
[
39,
62,
70,
42
] | 89 | [
"62-39=23",
"70+42=112",
"112-23=89"
] | Current State: 89:[39, 62, 70, 42], Operations: []
Exploring Operation: 62-39=23, Resulting Numbers: [70, 42, 23]
Generated Node #2: [70, 42, 23] from Operation: 62-39=23
Current State: 89:[70, 42, 23], Operations: ['62-39=23']
Exploring Operation: 70+42=112, Resulting Numbers: [23, 112]
Generated Node #3: [23, 112] from Operation: 70+42=112
Current State: 89:[23, 112], Operations: ['62-39=23', '70+42=112']
Exploring Operation: 112-23=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[39, 62, 70, 42], Operations: []
Exploring Operation: 39+42=81, Resulting Numbers: [62, 70, 81]
Generated Node #0,0: 89:[62, 70, 81] Operation: 39+42=81
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[62, 70, 81], Operations: ['39+42=81']
Exploring Operation: 62+70=132, Resulting Numbers: [81, 132]
Generated Node #0,0,0: 89:[81, 132] Operation: 62+70=132
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 89:[81, 132], Operations: ['39+42=81', '62+70=132']
Exploring Operation: 132-81=51, Resulting Numbers: [51]
51,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
33,
31,
68,
34
] | 31 | [
"68-33=35",
"35-34=1",
"31*1=31"
] | Current State: 31:[33, 31, 68, 34], Operations: []
Exploring Operation: 68-33=35, Resulting Numbers: [31, 34, 35]
Generated Node #2: [31, 34, 35] from Operation: 68-33=35
Current State: 31:[31, 34, 35], Operations: ['68-33=35']
Exploring Operation: 35-34=1, Resulting Numbers: [31, 1]
Generated Node #3: [31, 1] from Operation: 35-34=1
Current State: 31:[31, 1], Operations: ['68-33=35', '35-34=1']
Exploring Operation: 31*1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[33, 31, 68, 34], Operations: []
Exploring Operation: 68-33=35, Resulting Numbers: [31, 34, 35]
Generated Node #0,0: 31:[31, 34, 35] Operation: 68-33=35
Exploring Operation: 68-34=34, Resulting Numbers: [33, 31, 34]
Generated Node #0,1: 31:[33, 31, 34] Operation: 68-34=34
Exploring Operation: 68-31=37, Resulting Numbers: [33, 34, 37]
Generated Node #0,2: 31:[33, 34, 37] Operation: 68-31=37
Exploring Operation: 68/34=2, Resulting Numbers: [33, 31, 2]
Generated Node #0,3: 31:[33, 31, 2] Operation: 68/34=2
Moving to Node #0,1
Current State: 31:[33, 31, 34], Operations: ['68-34=34']
Exploring Operation: 34-31=3, Resulting Numbers: [33, 3]
Generated Node #0,1,0: 31:[33, 3] Operation: 34-31=3
Exploring Operation: 34-33=1, Resulting Numbers: [31, 1]
Generated Node #0,1,1: 31:[31, 1] Operation: 34-33=1
Exploring Operation: 33-31=2, Resulting Numbers: [34, 2]
Generated Node #0,1,2: 31:[34, 2] Operation: 33-31=2
Exploring Operation: 33+31=64, Resulting Numbers: [34, 64]
Generated Node #0,1,3: 31:[34, 64] Operation: 33+31=64
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 31:[33, 3], Operations: ['68-34=34', '34-31=3']
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,31 unequal: No Solution
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,31 unequal: No Solution
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,31 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 31:[31, 1], Operations: ['68-34=34', '34-33=1']
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,31 unequal: No Solution
Exploring Operation: 31/1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[33, 31, 68, 34], Operations: []
Exploring Operation: 68-34=34, Resulting Numbers: [33, 31, 34]
Generated Node #0,1: 31:[33, 31, 34] Operation: 68-34=34
Moving to Node #0,1
Current State: 31:[33, 31, 34], Operations: ['68-34=34']
Exploring Operation: 34-33=1, Resulting Numbers: [31, 1]
Generated Node #0,1,1: 31:[31, 1] Operation: 34-33=1
Moving to Node #0,1,1
Current State: 31:[31, 1], Operations: ['68-34=34', '34-33=1']
Exploring Operation: 31/1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
95,
71,
30,
94
] | 100 | [
"95-71=24",
"30+94=124",
"124-24=100"
] | Current State: 100:[95, 71, 30, 94], Operations: []
Exploring Operation: 95-71=24, Resulting Numbers: [30, 94, 24]
Generated Node #2: [30, 94, 24] from Operation: 95-71=24
Current State: 100:[30, 94, 24], Operations: ['95-71=24']
Exploring Operation: 30+94=124, Resulting Numbers: [24, 124]
Generated Node #3: [24, 124] from Operation: 30+94=124
Current State: 100:[24, 124], Operations: ['95-71=24', '30+94=124']
Exploring Operation: 124-24=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[95, 71, 30, 94], Operations: []
Exploring Operation: 71+30=101, Resulting Numbers: [95, 94, 101]
Generated Node #0,0: 100:[95, 94, 101] Operation: 71+30=101
Exploring Operation: 71-30=41, Resulting Numbers: [95, 94, 41]
Generated Node #0,1: 100:[95, 94, 41] Operation: 71-30=41
Exploring Operation: 94-71=23, Resulting Numbers: [95, 30, 23]
Generated Node #0,2: 100:[95, 30, 23] Operation: 94-71=23
Exploring Operation: 95-71=24, Resulting Numbers: [30, 94, 24]
Generated Node #0,3: 100:[30, 94, 24] Operation: 95-71=24
Moving to Node #0,0
Current State: 100:[95, 94, 101], Operations: ['71+30=101']
Exploring Operation: 101-95=6, Resulting Numbers: [94, 6]
Generated Node #0,0,0: 100:[94, 6] Operation: 101-95=6
Exploring Operation: 95+94=189, Resulting Numbers: [101, 189]
Generated Node #0,0,1: 100:[101, 189] Operation: 95+94=189
Exploring Operation: 95-94=1, Resulting Numbers: [101, 1]
Generated Node #0,0,2: 100:[101, 1] Operation: 95-94=1
Exploring Operation: 101-94=7, Resulting Numbers: [95, 7]
Generated Node #0,0,3: 100:[95, 7] Operation: 101-94=7
Moving to Node #0,3
Current State: 100:[30, 94, 24], Operations: ['95-71=24']
Exploring Operation: 30+24=54, Resulting Numbers: [94, 54]
Generated Node #0,3,0: 100:[94, 54] Operation: 30+24=54
Exploring Operation: 94+24=118, Resulting Numbers: [30, 118]
Generated Node #0,3,1: 100:[30, 118] Operation: 94+24=118
Exploring Operation: 30-24=6, Resulting Numbers: [94, 6]
Generated Node #0,3,2: 100:[94, 6] Operation: 30-24=6
Exploring Operation: 94-30=64, Resulting Numbers: [24, 64]
Generated Node #0,3,3: 100:[24, 64] Operation: 94-30=64
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 100:[94, 6], Operations: ['95-71=24', '30-24=6']
Exploring Operation: 94*6=564, Resulting Numbers: [564]
564,100 unequal: No Solution
Exploring Operation: 94-6=88, Resulting Numbers: [88]
88,100 unequal: No Solution
Exploring Operation: 94+6=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[95, 71, 30, 94], Operations: []
Exploring Operation: 95-71=24, Resulting Numbers: [30, 94, 24]
Generated Node #0,3: 100:[30, 94, 24] Operation: 95-71=24
Moving to Node #0,3
Current State: 100:[30, 94, 24], Operations: ['95-71=24']
Exploring Operation: 30-24=6, Resulting Numbers: [94, 6]
Generated Node #0,3,2: 100:[94, 6] Operation: 30-24=6
Moving to Node #0,3,2
Current State: 100:[94, 6], Operations: ['95-71=24', '30-24=6']
Exploring Operation: 94+6=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | sum_heuristic |
[
98,
57,
88,
88
] | 40 | [
"98-57=41",
"88/88=1",
"41-1=40"
] | Current State: 40:[98, 57, 88, 88], Operations: []
Exploring Operation: 98-57=41, Resulting Numbers: [88, 88, 41]
Generated Node #2: [88, 88, 41] from Operation: 98-57=41
Current State: 40:[88, 88, 41], Operations: ['98-57=41']
Exploring Operation: 88/88=1, Resulting Numbers: [41, 1]
Generated Node #3: [41, 1] from Operation: 88/88=1
Current State: 40:[41, 1], Operations: ['98-57=41', '88/88=1']
Exploring Operation: 41-1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[98, 57, 88, 88], Operations: []
Exploring Operation: 98-88=10, Resulting Numbers: [57, 88, 10]
Generated Node #0,0: 40:[57, 88, 10] Operation: 98-88=10
Exploring Operation: 98-88=10, Resulting Numbers: [57, 88, 10]
Generated Node #0,1: 40:[57, 88, 10] Operation: 98-88=10
Moving to Node #0,0
Current State: 40:[57, 88, 10], Operations: ['98-88=10']
Exploring Operation: 88-57=31, Resulting Numbers: [10, 31]
Generated Node #0,0,0: 40:[10, 31] Operation: 88-57=31
Exploring Operation: 57-10=47, Resulting Numbers: [88, 47]
Generated Node #0,0,1: 40:[88, 47] Operation: 57-10=47
Moving to Node #0,1
Current State: 40:[57, 88, 10], Operations: ['98-88=10']
Exploring Operation: 57-10=47, Resulting Numbers: [88, 47]
Generated Node #0,1,0: 40:[88, 47] Operation: 57-10=47
Exploring Operation: 88-57=31, Resulting Numbers: [10, 31]
Generated Node #0,1,1: 40:[10, 31] Operation: 88-57=31
Moving to Node #0,0,0
Current State: 40:[10, 31], Operations: ['98-88=10', '88-57=31']
Exploring Operation: 10+31=41, Resulting Numbers: [41]
41,40 unequal: No Solution
Exploring Operation: 31-10=21, Resulting Numbers: [21]
21,40 unequal: No Solution
Moving to Node #0,1,1
Current State: 40:[10, 31], Operations: ['98-88=10', '88-57=31']
Exploring Operation: 10+31=41, Resulting Numbers: [41]
41,40 unequal: No Solution
Exploring Operation: 31-10=21, Resulting Numbers: [21]
21,40 unequal: No Solution
Moving to Node #0,0,1
Current State: 40:[88, 47], Operations: ['98-88=10', '57-10=47']
Exploring Operation: 88+47=135, Resulting Numbers: [135]
135,40 unequal: No Solution
Exploring Operation: 88-47=41, Resulting Numbers: [41]
41,40 unequal: No Solution
Moving to Node #0,1,0
Current State: 40:[88, 47], Operations: ['98-88=10', '57-10=47']
Exploring Operation: 88-47=41, Resulting Numbers: [41]
41,40 unequal: No Solution
Exploring Operation: 88+47=135, Resulting Numbers: [135]
135,40 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
54,
23,
29,
45
] | 61 | [
"54+23=77",
"45-29=16",
"77-16=61"
] | Current State: 61:[54, 23, 29, 45], Operations: []
Exploring Operation: 54+23=77, Resulting Numbers: [29, 45, 77]
Generated Node #2: [29, 45, 77] from Operation: 54+23=77
Current State: 61:[29, 45, 77], Operations: ['54+23=77']
Exploring Operation: 45-29=16, Resulting Numbers: [77, 16]
Generated Node #3: [77, 16] from Operation: 45-29=16
Current State: 61:[77, 16], Operations: ['54+23=77', '45-29=16']
Exploring Operation: 77-16=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[54, 23, 29, 45], Operations: []
Exploring Operation: 23+29=52, Resulting Numbers: [54, 45, 52]
Generated Node #0,0: 61:[54, 45, 52] Operation: 23+29=52
Exploring Operation: 23+45=68, Resulting Numbers: [54, 29, 68]
Generated Node #0,1: 61:[54, 29, 68] Operation: 23+45=68
Exploring Operation: 54+29=83, Resulting Numbers: [23, 45, 83]
Generated Node #0,2: 61:[23, 45, 83] Operation: 54+29=83
Exploring Operation: 29+45=74, Resulting Numbers: [54, 23, 74]
Generated Node #0,3: 61:[54, 23, 74] Operation: 29+45=74
Exploring Operation: 54+23=77, Resulting Numbers: [29, 45, 77]
Generated Node #0,4: 61:[29, 45, 77] Operation: 54+23=77
Moving to Node #0,0
Current State: 61:[54, 45, 52], Operations: ['23+29=52']
Exploring Operation: 54+52=106, Resulting Numbers: [45, 106]
Generated Node #0,0,0: 61:[45, 106] Operation: 54+52=106
Exploring Operation: 52-45=7, Resulting Numbers: [54, 7]
Generated Node #0,0,1: 61:[54, 7] Operation: 52-45=7
Exploring Operation: 45+52=97, Resulting Numbers: [54, 97]
Generated Node #0,0,2: 61:[54, 97] Operation: 45+52=97
Exploring Operation: 54+45=99, Resulting Numbers: [52, 99]
Generated Node #0,0,3: 61:[52, 99] Operation: 54+45=99
Exploring Operation: 54-45=9, Resulting Numbers: [52, 9]
Generated Node #0,0,4: 61:[52, 9] Operation: 54-45=9
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 61:[54, 97], Operations: ['23+29=52', '45+52=97']
Exploring Operation: 54*97=5238, Resulting Numbers: [5238]
5238,61 unequal: No Solution
Exploring Operation: 54+97=151, Resulting Numbers: [151]
151,61 unequal: No Solution
Exploring Operation: 97-54=43, Resulting Numbers: [43]
43,61 unequal: No Solution
No 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: 61:[52, 99], Operations: ['23+29=52', '54+45=99']
Exploring Operation: 99-52=47, Resulting Numbers: [47]
47,61 unequal: No Solution
Exploring Operation: 52*99=5148, Resulting Numbers: [5148]
5148,61 unequal: No Solution
Exploring Operation: 52+99=151, Resulting Numbers: [151]
151,61 unequal: No Solution
No 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: 61:[45, 106], Operations: ['23+29=52', '54+52=106']
Exploring Operation: 45*106=4770, Resulting Numbers: [4770]
4770,61 unequal: No Solution
Exploring Operation: 106-45=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[54, 23, 29, 45], Operations: []
Exploring Operation: 23+29=52, Resulting Numbers: [54, 45, 52]
Generated Node #0,0: 61:[54, 45, 52] Operation: 23+29=52
Moving to Node #0,0
Current State: 61:[54, 45, 52], Operations: ['23+29=52']
Exploring Operation: 54+52=106, Resulting Numbers: [45, 106]
Generated Node #0,0,0: 61:[45, 106] Operation: 54+52=106
Moving to Node #0,0,0
Current State: 61:[45, 106], Operations: ['23+29=52', '54+52=106']
Exploring Operation: 106-45=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | sum_heuristic |
[
41,
10,
25,
4
] | 52 | [
"41-10=31",
"25-4=21",
"31+21=52"
] | Current State: 52:[41, 10, 25, 4], Operations: []
Exploring Operation: 41-10=31, Resulting Numbers: [25, 4, 31]
Generated Node #2: [25, 4, 31] from Operation: 41-10=31
Current State: 52:[25, 4, 31], Operations: ['41-10=31']
Exploring Operation: 25-4=21, Resulting Numbers: [31, 21]
Generated Node #3: [31, 21] from Operation: 25-4=21
Current State: 52:[31, 21], Operations: ['41-10=31', '25-4=21']
Exploring Operation: 31+21=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[41, 10, 25, 4], Operations: []
Exploring Operation: 41+10=51, Resulting Numbers: [25, 4, 51]
Generated Node #0,0: 52:[25, 4, 51] Operation: 41+10=51
Moving to Node #0,0
Current State: 52:[25, 4, 51], Operations: ['41+10=51']
Exploring Operation: 51-25=26, Resulting Numbers: [4, 26]
Generated Node #0,0,0: 52:[4, 26] Operation: 51-25=26
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 52:[4, 26], Operations: ['41+10=51', '51-25=26']
Exploring Operation: 4+26=30, Resulting Numbers: [30]
30,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
93,
3,
37,
63
] | 70 | [
"93+3=96",
"63-37=26",
"96-26=70"
] | Current State: 70:[93, 3, 37, 63], Operations: []
Exploring Operation: 93+3=96, Resulting Numbers: [37, 63, 96]
Generated Node #2: [37, 63, 96] from Operation: 93+3=96
Current State: 70:[37, 63, 96], Operations: ['93+3=96']
Exploring Operation: 63-37=26, Resulting Numbers: [96, 26]
Generated Node #3: [96, 26] from Operation: 63-37=26
Current State: 70:[96, 26], Operations: ['93+3=96', '63-37=26']
Exploring Operation: 96-26=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[93, 3, 37, 63], Operations: []
Exploring Operation: 93/3=31, Resulting Numbers: [37, 63, 31]
Generated Node #0,0: 70:[37, 63, 31] Operation: 93/3=31
Exploring Operation: 93-63=30, Resulting Numbers: [3, 37, 30]
Generated Node #0,1: 70:[3, 37, 30] Operation: 93-63=30
Exploring Operation: 93-37=56, Resulting Numbers: [3, 63, 56]
Generated Node #0,2: 70:[3, 63, 56] Operation: 93-37=56
Start Sub Search at level 1: Moving to Node #0,1
Current State: 70:[3, 37, 30], Operations: ['93-63=30']
Exploring Operation: 30/3=10, Resulting Numbers: [37, 10]
Generated Node #0,1,0: 70:[37, 10] Operation: 30/3=10
Exploring Operation: 3+30=33, Resulting Numbers: [37, 33]
Generated Node #0,1,1: 70:[37, 33] Operation: 3+30=33
Exploring Operation: 37-30=7, Resulting Numbers: [3, 7]
Generated Node #0,1,2: 70:[3, 7] Operation: 37-30=7
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 70:[3, 7], Operations: ['93-63=30', '37-30=7']
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,70 unequal: No Solution
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,70 unequal: No Solution
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,70 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:[37, 10], Operations: ['93-63=30', '30/3=10']
Exploring Operation: 37*10=370, Resulting Numbers: [370]
370,70 unequal: No Solution
Exploring Operation: 37-10=27, Resulting Numbers: [27]
27,70 unequal: No Solution
Exploring Operation: 37+10=47, Resulting Numbers: [47]
47,70 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:[37, 33], Operations: ['93-63=30', '3+30=33']
Exploring Operation: 37+33=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[93, 3, 37, 63], Operations: []
Exploring Operation: 93-63=30, Resulting Numbers: [3, 37, 30]
Generated Node #0,1: 70:[3, 37, 30] Operation: 93-63=30
Moving to Node #0,1
Current State: 70:[3, 37, 30], Operations: ['93-63=30']
Exploring Operation: 3+30=33, Resulting Numbers: [37, 33]
Generated Node #0,1,1: 70:[37, 33] Operation: 3+30=33
Moving to Node #0,1,1
Current State: 70:[37, 33], Operations: ['93-63=30', '3+30=33']
Exploring Operation: 37+33=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_3 | sum_heuristic |
[
54,
33,
77,
67
] | 77 | [
"54+33=87",
"77-67=10",
"87-10=77"
] | Current State: 77:[54, 33, 77, 67], Operations: []
Exploring Operation: 54+33=87, Resulting Numbers: [77, 67, 87]
Generated Node #2: [77, 67, 87] from Operation: 54+33=87
Current State: 77:[77, 67, 87], Operations: ['54+33=87']
Exploring Operation: 77-67=10, Resulting Numbers: [87, 10]
Generated Node #3: [87, 10] from Operation: 77-67=10
Current State: 77:[87, 10], Operations: ['54+33=87', '77-67=10']
Exploring Operation: 87-10=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[54, 33, 77, 67], Operations: []
Exploring Operation: 54-33=21, Resulting Numbers: [77, 67, 21]
Generated Node #0,0: 77:[77, 67, 21] Operation: 54-33=21
Exploring Operation: 33+67=100, Resulting Numbers: [54, 77, 100]
Generated Node #0,1: 77:[54, 77, 100] Operation: 33+67=100
Exploring Operation: 67-54=13, Resulting Numbers: [33, 77, 13]
Generated Node #0,2: 77:[33, 77, 13] Operation: 67-54=13
Exploring Operation: 77-54=23, Resulting Numbers: [33, 67, 23]
Generated Node #0,3: 77:[33, 67, 23] Operation: 77-54=23
Exploring Operation: 54+33=87, Resulting Numbers: [77, 67, 87]
Generated Node #0,4: 77:[77, 67, 87] Operation: 54+33=87
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[77, 67, 21], Operations: ['54-33=21']
Exploring Operation: 67-21=46, Resulting Numbers: [77, 46]
Generated Node #0,0,0: 77:[77, 46] Operation: 67-21=46
Exploring Operation: 67+21=88, Resulting Numbers: [77, 88]
Generated Node #0,0,1: 77:[77, 88] Operation: 67+21=88
Exploring Operation: 77-21=56, Resulting Numbers: [67, 56]
Generated Node #0,0,2: 77:[67, 56] Operation: 77-21=56
Exploring Operation: 77-67=10, Resulting Numbers: [21, 10]
Generated Node #0,0,3: 77:[21, 10] Operation: 77-67=10
Exploring Operation: 77+21=98, Resulting Numbers: [67, 98]
Generated Node #0,0,4: 77:[67, 98] Operation: 77+21=98
Moving to Node #0,0,1
Current State: 77:[77, 88], Operations: ['54-33=21', '67+21=88']
Exploring Operation: 77*88=6776, Resulting Numbers: [6776]
6776,77 unequal: No Solution
Exploring Operation: 77+88=165, Resulting Numbers: [165]
165,77 unequal: No Solution
Exploring Operation: 88-77=11, Resulting Numbers: [11]
11,77 unequal: No Solution
Moving to Node #0,0,3
Current State: 77:[21, 10], Operations: ['54-33=21', '77-67=10']
Exploring Operation: 21*10=210, Resulting Numbers: [210]
210,77 unequal: No Solution
Exploring Operation: 21+10=31, Resulting Numbers: [31]
31,77 unequal: No Solution
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,77 unequal: No Solution
Moving to Node #0,0,0
Current State: 77:[77, 46], Operations: ['54-33=21', '67-21=46']
Exploring Operation: 77+46=123, Resulting Numbers: [123]
123,77 unequal: No Solution
Exploring Operation: 77-46=31, Resulting Numbers: [31]
31,77 unequal: No Solution
Exploring Operation: 77*46=3542, Resulting Numbers: [3542]
3542,77 unequal: No Solution
Moving to Node #0,0,2
Current State: 77:[67, 56], Operations: ['54-33=21', '77-21=56']
Exploring Operation: 67-56=11, Resulting Numbers: [11]
11,77 unequal: No Solution
Exploring Operation: 67*56=3752, Resulting Numbers: [3752]
3752,77 unequal: No Solution
Exploring Operation: 67+56=123, Resulting Numbers: [123]
123,77 unequal: No Solution
Moving to Node #0,0,4
Current State: 77:[67, 98], Operations: ['54-33=21', '77+21=98']
Exploring Operation: 98-67=31, Resulting Numbers: [31]
31,77 unequal: No Solution
Exploring Operation: 67+98=165, Resulting Numbers: [165]
165,77 unequal: No Solution
Exploring Operation: 67*98=6566, Resulting Numbers: [6566]
6566,77 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
Current State: 77:[77, 67, 87], Operations: ['54+33=87']
Exploring Operation: 87-67=20, Resulting Numbers: [77, 20]
Generated Node #0,4,0: 77:[77, 20] Operation: 87-67=20
Exploring Operation: 87-77=10, Resulting Numbers: [67, 10]
Generated Node #0,4,1: 77:[67, 10] Operation: 87-77=10
Exploring Operation: 77-67=10, Resulting Numbers: [87, 10]
Generated Node #0,4,2: 77:[87, 10] Operation: 77-67=10
Exploring Operation: 67+87=154, Resulting Numbers: [77, 154]
Generated Node #0,4,3: 77:[77, 154] Operation: 67+87=154
Exploring Operation: 77+67=144, Resulting Numbers: [87, 144]
Generated Node #0,4,4: 77:[87, 144] Operation: 77+67=144
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 77:[77, 20], Operations: ['54+33=87', '87-67=20']
Exploring Operation: 77*20=1540, Resulting Numbers: [1540]
1540,77 unequal: No Solution
Exploring Operation: 77+20=97, Resulting Numbers: [97]
97,77 unequal: No Solution
Exploring Operation: 77-20=57, Resulting Numbers: [57]
57,77 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 #0,4,1
Current State: 77:[67, 10], Operations: ['54+33=87', '87-77=10']
Exploring Operation: 67-10=57, Resulting Numbers: [57]
57,77 unequal: No Solution
Exploring Operation: 67+10=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[54, 33, 77, 67], Operations: []
Exploring Operation: 54+33=87, Resulting Numbers: [77, 67, 87]
Generated Node #0,4: 77:[77, 67, 87] Operation: 54+33=87
Moving to Node #0,4
Current State: 77:[77, 67, 87], Operations: ['54+33=87']
Exploring Operation: 87-77=10, Resulting Numbers: [67, 10]
Generated Node #0,4,1: 77:[67, 10] Operation: 87-77=10
Moving to Node #0,4,1
Current State: 77:[67, 10], Operations: ['54+33=87', '87-77=10']
Exploring Operation: 67+10=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.966146 | hs_5 | mult_heuristic |
[
54,
81,
33,
75
] | 81 | [
"81-54=27",
"33+75=108",
"108-27=81"
] | Current State: 81:[54, 81, 33, 75], Operations: []
Exploring Operation: 81-54=27, Resulting Numbers: [33, 75, 27]
Generated Node #2: [33, 75, 27] from Operation: 81-54=27
Current State: 81:[33, 75, 27], Operations: ['81-54=27']
Exploring Operation: 33+75=108, Resulting Numbers: [27, 108]
Generated Node #3: [27, 108] from Operation: 33+75=108
Current State: 81:[27, 108], Operations: ['81-54=27', '33+75=108']
Exploring Operation: 108-27=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[54, 81, 33, 75], Operations: []
Exploring Operation: 81-54=27, Resulting Numbers: [33, 75, 27]
Generated Node #0,0: 81:[33, 75, 27] Operation: 81-54=27
Moving to Node #0,0
Current State: 81:[33, 75, 27], Operations: ['81-54=27']
Exploring Operation: 33-27=6, Resulting Numbers: [75, 6]
Generated Node #0,0,0: 81:[75, 6] Operation: 33-27=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[75, 6], Operations: ['81-54=27', '33-27=6']
Exploring Operation: 75+6=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[54, 81, 33, 75], Operations: []
Exploring Operation: 81-54=27, Resulting Numbers: [33, 75, 27]
Generated Node #0,0: 81:[33, 75, 27] Operation: 81-54=27
Moving to Node #0,0
Current State: 81:[33, 75, 27], Operations: ['81-54=27']
Exploring Operation: 33-27=6, Resulting Numbers: [75, 6]
Generated Node #0,0,0: 81:[75, 6] Operation: 33-27=6
Moving to Node #0,0,0
Current State: 81:[75, 6], Operations: ['81-54=27', '33-27=6']
Exploring Operation: 75+6=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
48,
43,
16,
2
] | 70 | [
"48-43=5",
"16-2=14",
"5*14=70"
] | Current State: 70:[48, 43, 16, 2], Operations: []
Exploring Operation: 48-43=5, Resulting Numbers: [16, 2, 5]
Generated Node #2: [16, 2, 5] from Operation: 48-43=5
Current State: 70:[16, 2, 5], Operations: ['48-43=5']
Exploring Operation: 16-2=14, Resulting Numbers: [5, 14]
Generated Node #3: [5, 14] from Operation: 16-2=14
Current State: 70:[5, 14], Operations: ['48-43=5', '16-2=14']
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[48, 43, 16, 2], Operations: []
Exploring Operation: 48/16=3, Resulting Numbers: [43, 2, 3]
Generated Node #0,0: 70:[43, 2, 3] Operation: 48/16=3
Exploring Operation: 48-43=5, Resulting Numbers: [16, 2, 5]
Generated Node #0,1: 70:[16, 2, 5] Operation: 48-43=5
Exploring Operation: 48-16=32, Resulting Numbers: [43, 2, 32]
Generated Node #0,2: 70:[43, 2, 32] Operation: 48-16=32
Exploring Operation: 48+16=64, Resulting Numbers: [43, 2, 64]
Generated Node #0,3: 70:[43, 2, 64] Operation: 48+16=64
Moving to Node #0,1
Current State: 70:[16, 2, 5], Operations: ['48-43=5']
Exploring Operation: 2+5=7, Resulting Numbers: [16, 7]
Generated Node #0,1,0: 70:[16, 7] Operation: 2+5=7
Exploring Operation: 16/2=8, Resulting Numbers: [5, 8]
Generated Node #0,1,1: 70:[5, 8] Operation: 16/2=8
Exploring Operation: 16-2=14, Resulting Numbers: [5, 14]
Generated Node #0,1,2: 70:[5, 14] Operation: 16-2=14
Exploring Operation: 16-5=11, Resulting Numbers: [2, 11]
Generated Node #0,1,3: 70:[2, 11] Operation: 16-5=11
Moving to Node #0,0
Current State: 70:[43, 2, 3], Operations: ['48/16=3']
Exploring Operation: 43-2=41, Resulting Numbers: [3, 41]
Generated Node #0,0,0: 70:[3, 41] Operation: 43-2=41
Exploring Operation: 2+3=5, Resulting Numbers: [43, 5]
Generated Node #0,0,1: 70:[43, 5] Operation: 2+3=5
Exploring Operation: 2*3=6, Resulting Numbers: [43, 6]
Generated Node #0,0,2: 70:[43, 6] Operation: 2*3=6
Exploring Operation: 43-3=40, Resulting Numbers: [2, 40]
Generated Node #0,0,3: 70:[2, 40] Operation: 43-3=40
Moving to Node #0,2
Current State: 70:[43, 2, 32], Operations: ['48-16=32']
Exploring Operation: 43-32=11, Resulting Numbers: [2, 11]
Generated Node #0,2,0: 70:[2, 11] Operation: 43-32=11
Exploring Operation: 43+32=75, Resulting Numbers: [2, 75]
Generated Node #0,2,1: 70:[2, 75] Operation: 43+32=75
Exploring Operation: 2+32=34, Resulting Numbers: [43, 34]
Generated Node #0,2,2: 70:[43, 34] Operation: 2+32=34
Exploring Operation: 43-2=41, Resulting Numbers: [32, 41]
Generated Node #0,2,3: 70:[32, 41] Operation: 43-2=41
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 70:[2, 11], Operations: ['48-16=32', '43-32=11']
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,70 unequal: No Solution
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,70 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,70 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 #0,2,1
Current State: 70:[2, 75], Operations: ['48-16=32', '43+32=75']
Exploring Operation: 2+75=77, Resulting Numbers: [77]
77,70 unequal: No Solution
Exploring Operation: 2*75=150, Resulting Numbers: [150]
150,70 unequal: No Solution
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,70 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 #0,2,2
Current State: 70:[43, 34], Operations: ['48-16=32', '2+32=34']
Exploring Operation: 43+34=77, Resulting Numbers: [77]
77,70 unequal: No Solution
Exploring Operation: 43*34=1462, Resulting Numbers: [1462]
1462,70 unequal: No Solution
Exploring Operation: 43-34=9, Resulting Numbers: [9]
9,70 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 #0,2,3
Current State: 70:[32, 41], Operations: ['48-16=32', '43-2=41']
Exploring Operation: 32+41=73, Resulting Numbers: [73]
73,70 unequal: No Solution
Exploring Operation: 41-32=9, Resulting Numbers: [9]
9,70 unequal: No Solution
Exploring Operation: 32*41=1312, Resulting Numbers: [1312]
1312,70 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: 70:[43, 2, 64], Operations: ['48+16=64']
Exploring Operation: 43-2=41, Resulting Numbers: [64, 41]
Generated Node #0,3,0: 70:[64, 41] Operation: 43-2=41
Exploring Operation: 64-43=21, Resulting Numbers: [2, 21]
Generated Node #0,3,1: 70:[2, 21] Operation: 64-43=21
Exploring Operation: 64/2=32, Resulting Numbers: [43, 32]
Generated Node #0,3,2: 70:[43, 32] Operation: 64/2=32
Exploring Operation: 2+64=66, Resulting Numbers: [43, 66]
Generated Node #0,3,3: 70:[43, 66] Operation: 2+64=66
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 70:[2, 21], Operations: ['48+16=64', '64-43=21']
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,70 unequal: No Solution
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,70 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,70 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 #0,3,2
Current State: 70:[43, 32], Operations: ['48+16=64', '64/2=32']
Exploring Operation: 43-32=11, Resulting Numbers: [11]
11,70 unequal: No Solution
Exploring Operation: 43+32=75, Resulting Numbers: [75]
75,70 unequal: No Solution
Exploring Operation: 43*32=1376, Resulting Numbers: [1376]
1376,70 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 #0,3,0
Current State: 70:[64, 41], Operations: ['48+16=64', '43-2=41']
Exploring Operation: 64+41=105, Resulting Numbers: [105]
105,70 unequal: No Solution
Exploring Operation: 64*41=2624, Resulting Numbers: [2624]
2624,70 unequal: No Solution
Exploring Operation: 64-41=23, Resulting Numbers: [23]
23,70 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 #0,3,3
Current State: 70:[43, 66], Operations: ['48+16=64', '2+64=66']
Exploring Operation: 66-43=23, Resulting Numbers: [23]
23,70 unequal: No Solution
Exploring Operation: 43*66=2838, Resulting Numbers: [2838]
2838,70 unequal: No Solution
Exploring Operation: 43+66=109, Resulting Numbers: [109]
109,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 70:[5, 14], Operations: ['48-43=5', '16-2=14']
Exploring Operation: 5+14=19, Resulting Numbers: [19]
19,70 unequal: No Solution
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,70 unequal: No Solution
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[48, 43, 16, 2], Operations: []
Exploring Operation: 48-43=5, Resulting Numbers: [16, 2, 5]
Generated Node #0,1: 70:[16, 2, 5] Operation: 48-43=5
Moving to Node #0,1
Current State: 70:[16, 2, 5], Operations: ['48-43=5']
Exploring Operation: 16-2=14, Resulting Numbers: [5, 14]
Generated Node #0,1,2: 70:[5, 14] Operation: 16-2=14
Moving to Node #0,1,2
Current State: 70:[5, 14], Operations: ['48-43=5', '16-2=14']
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 0.955729 | hs_4 | mult_heuristic |
[
17,
46,
3,
12
] | 78 | [
"17+46=63",
"3+12=15",
"63+15=78"
] | Current State: 78:[17, 46, 3, 12], Operations: []
Exploring Operation: 17+46=63, Resulting Numbers: [3, 12, 63]
Generated Node #2: [3, 12, 63] from Operation: 17+46=63
Current State: 78:[3, 12, 63], Operations: ['17+46=63']
Exploring Operation: 3+12=15, Resulting Numbers: [63, 15]
Generated Node #3: [63, 15] from Operation: 3+12=15
Current State: 78:[63, 15], Operations: ['17+46=63', '3+12=15']
Exploring Operation: 63+15=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[17, 46, 3, 12], Operations: []
Exploring Operation: 46-17=29, Resulting Numbers: [3, 12, 29]
Generated Node #0,0: 78:[3, 12, 29] Operation: 46-17=29
Moving to Node #0,0
Current State: 78:[3, 12, 29], Operations: ['46-17=29']
Exploring Operation: 29-3=26, Resulting Numbers: [12, 26]
Generated Node #0,0,0: 78:[12, 26] Operation: 29-3=26
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 78:[12, 26], Operations: ['46-17=29', '29-3=26']
Exploring Operation: 12+26=38, Resulting Numbers: [38]
38,78 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 |
[
42,
22,
1,
8
] | 71 | [
"42+22=64",
"8-1=7",
"64+7=71"
] | Current State: 71:[42, 22, 1, 8], Operations: []
Exploring Operation: 42+22=64, Resulting Numbers: [1, 8, 64]
Generated Node #2: [1, 8, 64] from Operation: 42+22=64
Current State: 71:[1, 8, 64], Operations: ['42+22=64']
Exploring Operation: 8-1=7, Resulting Numbers: [64, 7]
Generated Node #3: [64, 7] from Operation: 8-1=7
Current State: 71:[64, 7], Operations: ['42+22=64', '8-1=7']
Exploring Operation: 64+7=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[42, 22, 1, 8], Operations: []
Exploring Operation: 42+22=64, Resulting Numbers: [1, 8, 64]
Generated Node #0,0: 71:[1, 8, 64] Operation: 42+22=64
Exploring Operation: 42+1=43, Resulting Numbers: [22, 8, 43]
Generated Node #0,1: 71:[22, 8, 43] Operation: 42+1=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[1, 8, 64], Operations: ['42+22=64']
Exploring Operation: 1+8=9, Resulting Numbers: [64, 9]
Generated Node #0,0,0: 71:[64, 9] Operation: 1+8=9
Exploring Operation: 1+64=65, Resulting Numbers: [8, 65]
Generated Node #0,0,1: 71:[8, 65] Operation: 1+64=65
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 71:[64, 9], Operations: ['42+22=64', '1+8=9']
Exploring Operation: 64+9=73, Resulting Numbers: [73]
73,71 unequal: No Solution
Exploring Operation: 64-9=55, Resulting Numbers: [55]
55,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 71:[8, 65], Operations: ['42+22=64', '1+64=65']
Exploring Operation: 65-8=57, Resulting Numbers: [57]
57,71 unequal: No Solution
Exploring Operation: 8+65=73, Resulting Numbers: [73]
73,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 71:[22, 8, 43], Operations: ['42+1=43']
Exploring Operation: 22+8=30, Resulting Numbers: [43, 30]
Generated Node #0,1,0: 71:[43, 30] Operation: 22+8=30
Exploring Operation: 22+43=65, Resulting Numbers: [8, 65]
Generated Node #0,1,1: 71:[8, 65] Operation: 22+43=65
Moving to Node #0,1,0
Current State: 71:[43, 30], Operations: ['42+1=43', '22+8=30']
Exploring Operation: 43-30=13, Resulting Numbers: [13]
13,71 unequal: No Solution
Exploring Operation: 43+30=73, Resulting Numbers: [73]
73,71 unequal: No Solution
Moving to Node #0,1,1
Current State: 71:[8, 65], Operations: ['42+1=43', '22+43=65']
Exploring Operation: 65-8=57, Resulting Numbers: [57]
57,71 unequal: No Solution
Exploring Operation: 8+65=73, Resulting Numbers: [73]
73,71 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 |
[
77,
4,
92,
63
] | 37 | [
"77-63=14",
"92/4=23",
"14+23=37"
] | Current State: 37:[77, 4, 92, 63], Operations: []
Exploring Operation: 77-63=14, Resulting Numbers: [4, 92, 14]
Generated Node #2: [4, 92, 14] from Operation: 77-63=14
Current State: 37:[4, 92, 14], Operations: ['77-63=14']
Exploring Operation: 92/4=23, Resulting Numbers: [14, 23]
Generated Node #3: [14, 23] from Operation: 92/4=23
Current State: 37:[14, 23], Operations: ['77-63=14', '92/4=23']
Exploring Operation: 14+23=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[77, 4, 92, 63], Operations: []
Exploring Operation: 92-77=15, Resulting Numbers: [4, 63, 15]
Generated Node #0,0: 37:[4, 63, 15] Operation: 92-77=15
Exploring Operation: 77-63=14, Resulting Numbers: [4, 92, 14]
Generated Node #0,1: 37:[4, 92, 14] Operation: 77-63=14
Exploring Operation: 92-63=29, Resulting Numbers: [77, 4, 29]
Generated Node #0,2: 37:[77, 4, 29] Operation: 92-63=29
Exploring Operation: 92/4=23, Resulting Numbers: [77, 63, 23]
Generated Node #0,3: 37:[77, 63, 23] Operation: 92/4=23
Moving to Node #0,3
Current State: 37:[77, 63, 23], Operations: ['92/4=23']
Exploring Operation: 77-23=54, Resulting Numbers: [63, 54]
Generated Node #0,3,0: 37:[63, 54] Operation: 77-23=54
Exploring Operation: 77+23=100, Resulting Numbers: [63, 100]
Generated Node #0,3,1: 37:[63, 100] Operation: 77+23=100
Exploring Operation: 77-63=14, Resulting Numbers: [23, 14]
Generated Node #0,3,2: 37:[23, 14] Operation: 77-63=14
Exploring Operation: 63-23=40, Resulting Numbers: [77, 40]
Generated Node #0,3,3: 37:[77, 40] Operation: 63-23=40
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 37:[23, 14], Operations: ['92/4=23', '77-63=14']
Exploring Operation: 23-14=9, Resulting Numbers: [9]
9,37 unequal: No Solution
Exploring Operation: 23+14=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[77, 4, 92, 63], Operations: []
Exploring Operation: 92/4=23, Resulting Numbers: [77, 63, 23]
Generated Node #0,3: 37:[77, 63, 23] Operation: 92/4=23
Moving to Node #0,3
Current State: 37:[77, 63, 23], Operations: ['92/4=23']
Exploring Operation: 77-63=14, Resulting Numbers: [23, 14]
Generated Node #0,3,2: 37:[23, 14] Operation: 77-63=14
Moving to Node #0,3,2
Current State: 37:[23, 14], Operations: ['92/4=23', '77-63=14']
Exploring Operation: 23+14=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
4,
57,
59,
48
] | 26 | [
"4+48=52",
"59-57=2",
"52/2=26"
] | Current State: 26:[4, 57, 59, 48], Operations: []
Exploring Operation: 4+48=52, Resulting Numbers: [57, 59, 52]
Generated Node #2: [57, 59, 52] from Operation: 4+48=52
Current State: 26:[57, 59, 52], Operations: ['4+48=52']
Exploring Operation: 59-57=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 59-57=2
Current State: 26:[52, 2], Operations: ['4+48=52', '59-57=2']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[4, 57, 59, 48], Operations: []
Exploring Operation: 59-48=11, Resulting Numbers: [4, 57, 11]
Generated Node #0,0: 26:[4, 57, 11] Operation: 59-48=11
Exploring Operation: 59-57=2, Resulting Numbers: [4, 48, 2]
Generated Node #0,1: 26:[4, 48, 2] Operation: 59-57=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 26:[4, 48, 2], Operations: ['59-57=2']
Exploring Operation: 48/4=12, Resulting Numbers: [2, 12]
Generated Node #0,1,0: 26:[2, 12] Operation: 48/4=12
Exploring Operation: 48/2=24, Resulting Numbers: [4, 24]
Generated Node #0,1,1: 26:[4, 24] Operation: 48/2=24
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 26:[2, 12], Operations: ['59-57=2', '48/4=12']
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,26 unequal: No Solution
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,26 unequal: No Solution
No 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: 26:[4, 24], Operations: ['59-57=2', '48/2=24']
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,26 unequal: No Solution
Exploring Operation: 4+24=28, Resulting Numbers: [28]
28,26 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: 26:[4, 57, 11], Operations: ['59-48=11']
Exploring Operation: 57-4=53, Resulting Numbers: [11, 53]
Generated Node #0,0,0: 26:[11, 53] Operation: 57-4=53
Exploring Operation: 57-11=46, Resulting Numbers: [4, 46]
Generated Node #0,0,1: 26:[4, 46] Operation: 57-11=46
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 26:[4, 46], Operations: ['59-48=11', '57-11=46']
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,26 unequal: No Solution
Exploring Operation: 4+46=50, Resulting Numbers: [50]
50,26 unequal: No Solution
No 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: 26:[11, 53], Operations: ['59-48=11', '57-4=53']
Exploring Operation: 53-11=42, Resulting Numbers: [42]
42,26 unequal: No Solution
Exploring Operation: 11+53=64, Resulting Numbers: [64]
64,26 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 |
[
24,
59,
37,
59
] | 14 | [
"37-24=13",
"59/59=1",
"13+1=14"
] | Current State: 14:[24, 59, 37, 59], Operations: []
Exploring Operation: 37-24=13, Resulting Numbers: [59, 59, 13]
Generated Node #2: [59, 59, 13] from Operation: 37-24=13
Current State: 14:[59, 59, 13], Operations: ['37-24=13']
Exploring Operation: 59/59=1, Resulting Numbers: [13, 1]
Generated Node #3: [13, 1] from Operation: 59/59=1
Current State: 14:[13, 1], Operations: ['37-24=13', '59/59=1']
Exploring Operation: 13+1=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[24, 59, 37, 59], Operations: []
Exploring Operation: 59-37=22, Resulting Numbers: [24, 59, 22]
Generated Node #0,0: 14:[24, 59, 22] Operation: 59-37=22
Exploring Operation: 59/59=1, Resulting Numbers: [24, 37, 1]
Generated Node #0,1: 14:[24, 37, 1] Operation: 59/59=1
Exploring Operation: 59-59=0, Resulting Numbers: [24, 37, 0]
Generated Node #0,2: 14:[24, 37, 0] Operation: 59-59=0
Moving to Node #0,1
Current State: 14:[24, 37, 1], Operations: ['59/59=1']
Exploring Operation: 37-24=13, Resulting Numbers: [1, 13]
Generated Node #0,1,0: 14:[1, 13] Operation: 37-24=13
Exploring Operation: 24-1=23, Resulting Numbers: [37, 23]
Generated Node #0,1,1: 14:[37, 23] Operation: 24-1=23
Exploring Operation: 37-1=36, Resulting Numbers: [24, 36]
Generated Node #0,1,2: 14:[24, 36] Operation: 37-1=36
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 14:[1, 13], Operations: ['59/59=1', '37-24=13']
Exploring Operation: 13/1=13, Resulting Numbers: [13]
13,14 unequal: No Solution
Exploring Operation: 1+13=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[24, 59, 37, 59], Operations: []
Exploring Operation: 59/59=1, Resulting Numbers: [24, 37, 1]
Generated Node #0,1: 14:[24, 37, 1] Operation: 59/59=1
Moving to Node #0,1
Current State: 14:[24, 37, 1], Operations: ['59/59=1']
Exploring Operation: 37-24=13, Resulting Numbers: [1, 13]
Generated Node #0,1,0: 14:[1, 13] Operation: 37-24=13
Moving to Node #0,1,0
Current State: 14:[1, 13], Operations: ['59/59=1', '37-24=13']
Exploring Operation: 1+13=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
67,
69,
67,
53
] | 12 | [
"69-67=2",
"67-53=14",
"14-2=12"
] | Current State: 12:[67, 69, 67, 53], Operations: []
Exploring Operation: 69-67=2, Resulting Numbers: [53, 2]
Generated Node #2: [53, 2] from Operation: 69-67=2
Current State: 12:[53, 2], Operations: ['69-67=2']
Exploring Operation: 67-53=14, Resulting Numbers: [2, 14]
Generated Node #3: [2, 14] from Operation: 67-53=14
Current State: 12:[2, 14], Operations: ['69-67=2', '67-53=14']
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[67, 69, 67, 53], Operations: []
Exploring Operation: 67/67=1, Resulting Numbers: [69, 53, 1]
Generated Node #0,0: 12:[69, 53, 1] Operation: 67/67=1
Exploring Operation: 69-67=2, Resulting Numbers: [67, 53, 2]
Generated Node #0,1: 12:[67, 53, 2] Operation: 69-67=2
Exploring Operation: 69-67=2, Resulting Numbers: [67, 53, 2]
Generated Node #0,2: 12:[67, 53, 2] Operation: 69-67=2
Moving to Node #0,1
Current State: 12:[67, 53, 2], Operations: ['69-67=2']
Exploring Operation: 53-2=51, Resulting Numbers: [67, 51]
Generated Node #0,1,0: 12:[67, 51] Operation: 53-2=51
Exploring Operation: 67-53=14, Resulting Numbers: [2, 14]
Generated Node #0,1,1: 12:[2, 14] Operation: 67-53=14
Exploring Operation: 67-2=65, Resulting Numbers: [53, 65]
Generated Node #0,1,2: 12:[53, 65] Operation: 67-2=65
Moving to Node #0,2
Current State: 12:[67, 53, 2], Operations: ['69-67=2']
Exploring Operation: 53-2=51, Resulting Numbers: [67, 51]
Generated Node #0,2,0: 12:[67, 51] Operation: 53-2=51
Exploring Operation: 67-53=14, Resulting Numbers: [2, 14]
Generated Node #0,2,1: 12:[2, 14] Operation: 67-53=14
Exploring Operation: 67-2=65, Resulting Numbers: [53, 65]
Generated Node #0,2,2: 12:[53, 65] Operation: 67-2=65
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 12:[2, 14], Operations: ['69-67=2', '67-53=14']
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,12 unequal: No Solution
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,12 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[67, 69, 67, 53], Operations: []
Exploring Operation: 69-67=2, Resulting Numbers: [67, 53, 2]
Generated Node #0,2: 12:[67, 53, 2] Operation: 69-67=2
Moving to Node #0,2
Current State: 12:[67, 53, 2], Operations: ['69-67=2']
Exploring Operation: 67-53=14, Resulting Numbers: [2, 14]
Generated Node #0,2,1: 12:[2, 14] Operation: 67-53=14
Moving to Node #0,2,1
Current State: 12:[2, 14], Operations: ['69-67=2', '67-53=14']
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | sum_heuristic |
[
36,
9,
98,
3
] | 97 | [
"36/9=4",
"98+3=101",
"101-4=97"
] | Current State: 97:[36, 9, 98, 3], Operations: []
Exploring Operation: 36/9=4, Resulting Numbers: [98, 3, 4]
Generated Node #2: [98, 3, 4] from Operation: 36/9=4
Current State: 97:[98, 3, 4], Operations: ['36/9=4']
Exploring Operation: 98+3=101, Resulting Numbers: [4, 101]
Generated Node #3: [4, 101] from Operation: 98+3=101
Current State: 97:[4, 101], Operations: ['36/9=4', '98+3=101']
Exploring Operation: 101-4=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[36, 9, 98, 3], Operations: []
Exploring Operation: 9*3=27, Resulting Numbers: [36, 98, 27]
Generated Node #0,0: 97:[36, 98, 27] Operation: 9*3=27
Exploring Operation: 36+9=45, Resulting Numbers: [98, 3, 45]
Generated Node #0,1: 97:[98, 3, 45] Operation: 36+9=45
Exploring Operation: 36*3=108, Resulting Numbers: [9, 98, 108]
Generated Node #0,2: 97:[9, 98, 108] Operation: 36*3=108
Exploring Operation: 36+3=39, Resulting Numbers: [9, 98, 39]
Generated Node #0,3: 97:[9, 98, 39] Operation: 36+3=39
Moving to Node #0,2
Current State: 97:[9, 98, 108], Operations: ['36*3=108']
Exploring Operation: 98-9=89, Resulting Numbers: [108, 89]
Generated Node #0,2,0: 97:[108, 89] Operation: 98-9=89
Exploring Operation: 108-9=99, Resulting Numbers: [98, 99]
Generated Node #0,2,1: 97:[98, 99] Operation: 108-9=99
Exploring Operation: 9+108=117, Resulting Numbers: [98, 117]
Generated Node #0,2,2: 97:[98, 117] Operation: 9+108=117
Exploring Operation: 9+98=107, Resulting Numbers: [108, 107]
Generated Node #0,2,3: 97:[108, 107] Operation: 9+98=107
Moving to Node #0,0
Current State: 97:[36, 98, 27], Operations: ['9*3=27']
Exploring Operation: 36+27=63, Resulting Numbers: [98, 63]
Generated Node #0,0,0: 97:[98, 63] Operation: 36+27=63
Exploring Operation: 36-27=9, Resulting Numbers: [98, 9]
Generated Node #0,0,1: 97:[98, 9] Operation: 36-27=9
Exploring Operation: 98+27=125, Resulting Numbers: [36, 125]
Generated Node #0,0,2: 97:[36, 125] Operation: 98+27=125
Exploring Operation: 98-27=71, Resulting Numbers: [36, 71]
Generated Node #0,0,3: 97:[36, 71] Operation: 98-27=71
Moving to Node #0,3
Current State: 97:[9, 98, 39], Operations: ['36+3=39']
Exploring Operation: 98-9=89, Resulting Numbers: [39, 89]
Generated Node #0,3,0: 97:[39, 89] Operation: 98-9=89
Exploring Operation: 9+98=107, Resulting Numbers: [39, 107]
Generated Node #0,3,1: 97:[39, 107] Operation: 9+98=107
Exploring Operation: 39-9=30, Resulting Numbers: [98, 30]
Generated Node #0,3,2: 97:[98, 30] Operation: 39-9=30
Exploring Operation: 9+39=48, Resulting Numbers: [98, 48]
Generated Node #0,3,3: 97:[98, 48] Operation: 9+39=48
Moving to Node #0,1
Current State: 97:[98, 3, 45], Operations: ['36+9=45']
Exploring Operation: 98+3=101, Resulting Numbers: [45, 101]
Generated Node #0,1,0: 97:[45, 101] Operation: 98+3=101
Exploring Operation: 98-3=95, Resulting Numbers: [45, 95]
Generated Node #0,1,1: 97:[45, 95] Operation: 98-3=95
Exploring Operation: 3+45=48, Resulting Numbers: [98, 48]
Generated Node #0,1,2: 97:[98, 48] Operation: 3+45=48
Exploring Operation: 3*45=135, Resulting Numbers: [98, 135]
Generated Node #0,1,3: 97:[98, 135] Operation: 3*45=135
Moving to Node #0,2,1
Current State: 97:[98, 99], Operations: ['36*3=108', '108-9=99']
Exploring Operation: 98*99=9702, Resulting Numbers: [9702]
9702,97 unequal: No Solution
Exploring Operation: 99-98=1, Resulting Numbers: [1]
1,97 unequal: No Solution
Exploring Operation: 98+99=197, Resulting Numbers: [197]
197,97 unequal: No Solution
Moving to Node #0,2,0
Current State: 97:[108, 89], Operations: ['36*3=108', '98-9=89']
Exploring Operation: 108-89=19, Resulting Numbers: [19]
19,97 unequal: No Solution
Exploring Operation: 108+89=197, Resulting Numbers: [197]
197,97 unequal: No Solution
Exploring Operation: 108*89=9612, Resulting Numbers: [9612]
9612,97 unequal: No Solution
Moving to Node #0,2,2
Current State: 97:[98, 117], Operations: ['36*3=108', '9+108=117']
Exploring Operation: 98+117=215, Resulting Numbers: [215]
215,97 unequal: No Solution
Exploring Operation: 117-98=19, Resulting Numbers: [19]
19,97 unequal: No Solution
Exploring Operation: 98*117=11466, Resulting Numbers: [11466]
11466,97 unequal: No Solution
Moving to Node #0,2,3
Current State: 97:[108, 107], Operations: ['36*3=108', '9+98=107']
Exploring Operation: 108+107=215, Resulting Numbers: [215]
215,97 unequal: No Solution
Exploring Operation: 108*107=11556, Resulting Numbers: [11556]
11556,97 unequal: No Solution
Exploring Operation: 108-107=1, Resulting Numbers: [1]
1,97 unequal: No Solution
Moving to Node #0,0,0
Current State: 97:[98, 63], Operations: ['9*3=27', '36+27=63']
Exploring Operation: 98*63=6174, Resulting Numbers: [6174]
6174,97 unequal: No Solution
Exploring Operation: 98-63=35, Resulting Numbers: [35]
35,97 unequal: No Solution
Exploring Operation: 98+63=161, Resulting Numbers: [161]
161,97 unequal: No Solution
Moving to Node #0,1,3
Current State: 97:[98, 135], Operations: ['36+9=45', '3*45=135']
Exploring Operation: 98*135=13230, Resulting Numbers: [13230]
13230,97 unequal: No Solution
Exploring Operation: 135-98=37, Resulting Numbers: [37]
37,97 unequal: No Solution
Exploring Operation: 98+135=233, Resulting Numbers: [233]
233,97 unequal: No Solution
Moving to Node #0,1,2
Current State: 97:[98, 48], Operations: ['36+9=45', '3+45=48']
Exploring Operation: 98*48=4704, Resulting Numbers: [4704]
4704,97 unequal: No Solution
Exploring Operation: 98+48=146, Resulting Numbers: [146]
146,97 unequal: No Solution
Exploring Operation: 98-48=50, Resulting Numbers: [50]
50,97 unequal: No Solution
Moving to Node #0,3,3
Current State: 97:[98, 48], Operations: ['36+3=39', '9+39=48']
Exploring Operation: 98*48=4704, Resulting Numbers: [4704]
4704,97 unequal: No Solution
Exploring Operation: 98+48=146, Resulting Numbers: [146]
146,97 unequal: No Solution
Exploring Operation: 98-48=50, Resulting Numbers: [50]
50,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[45, 95], Operations: ['36+9=45', '98-3=95']
Exploring Operation: 95-45=50, Resulting Numbers: [50]
50,97 unequal: No Solution
Exploring Operation: 45*95=4275, Resulting Numbers: [4275]
4275,97 unequal: No Solution
Exploring Operation: 45+95=140, Resulting Numbers: [140]
140,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[45, 101], Operations: ['36+9=45', '98+3=101']
Exploring Operation: 45*101=4545, Resulting Numbers: [4545]
4545,97 unequal: No Solution
Exploring Operation: 101-45=56, Resulting Numbers: [56]
56,97 unequal: No Solution
Exploring Operation: 45+101=146, Resulting Numbers: [146]
146,97 unequal: No Solution
Moving to Node #0,3,0
Current State: 97:[39, 89], Operations: ['36+3=39', '98-9=89']
Exploring Operation: 89-39=50, Resulting Numbers: [50]
50,97 unequal: No Solution
Exploring Operation: 39*89=3471, Resulting Numbers: [3471]
3471,97 unequal: No Solution
Exploring Operation: 39+89=128, Resulting Numbers: [128]
128,97 unequal: No Solution
Moving to Node #0,3,1
Current State: 97:[39, 107], Operations: ['36+3=39', '9+98=107']
Exploring Operation: 39*107=4173, Resulting Numbers: [4173]
4173,97 unequal: No Solution
Exploring Operation: 107-39=68, Resulting Numbers: [68]
68,97 unequal: No Solution
Exploring Operation: 39+107=146, Resulting Numbers: [146]
146,97 unequal: No Solution
Moving to Node #0,3,2
Current State: 97:[98, 30], Operations: ['36+3=39', '39-9=30']
Exploring Operation: 98+30=128, Resulting Numbers: [128]
128,97 unequal: No Solution
Exploring Operation: 98*30=2940, Resulting Numbers: [2940]
2940,97 unequal: No Solution
Exploring Operation: 98-30=68, Resulting Numbers: [68]
68,97 unequal: No Solution
Moving to Node #0,0,3
Current State: 97:[36, 71], Operations: ['9*3=27', '98-27=71']
Exploring Operation: 71-36=35, Resulting Numbers: [35]
35,97 unequal: No Solution
Exploring Operation: 36+71=107, Resulting Numbers: [107]
107,97 unequal: No Solution
Exploring Operation: 36*71=2556, Resulting Numbers: [2556]
2556,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[98, 9], Operations: ['9*3=27', '36-27=9']
Exploring Operation: 98-9=89, Resulting Numbers: [89]
89,97 unequal: No Solution
Exploring Operation: 98+9=107, Resulting Numbers: [107]
107,97 unequal: No Solution
Exploring Operation: 98*9=882, Resulting Numbers: [882]
882,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[36, 125], Operations: ['9*3=27', '98+27=125']
Exploring Operation: 36+125=161, Resulting Numbers: [161]
161,97 unequal: No Solution
Exploring Operation: 125-36=89, Resulting Numbers: [89]
89,97 unequal: No Solution
Exploring Operation: 36*125=4500, Resulting Numbers: [4500]
4500,97 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
5,
57,
2,
14
] | 45 | [
"5+57=62",
"62/2=31",
"14+31=45"
] | Current State: 45:[5, 57, 2, 14], Operations: []
Exploring Operation: 5+57=62, Resulting Numbers: [2, 14, 62]
Generated Node #2: [2, 14, 62] from Operation: 5+57=62
Current State: 45:[2, 14, 62], Operations: ['5+57=62']
Exploring Operation: 62/2=31, Resulting Numbers: [14, 31]
Generated Node #3: [14, 31] from Operation: 62/2=31
Current State: 45:[14, 31], Operations: ['5+57=62', '62/2=31']
Exploring Operation: 14+31=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[5, 57, 2, 14], Operations: []
Exploring Operation: 57-14=43, Resulting Numbers: [5, 2, 43]
Generated Node #0,0: 45:[5, 2, 43] Operation: 57-14=43
Exploring Operation: 57-5=52, Resulting Numbers: [2, 14, 52]
Generated Node #0,1: 45:[2, 14, 52] Operation: 57-5=52
Exploring Operation: 5-2=3, Resulting Numbers: [57, 14, 3]
Generated Node #0,2: 45:[57, 14, 3] Operation: 5-2=3
Exploring Operation: 57-2=55, Resulting Numbers: [5, 14, 55]
Generated Node #0,3: 45:[5, 14, 55] Operation: 57-2=55
Exploring Operation: 14-5=9, Resulting Numbers: [57, 2, 9]
Generated Node #0,4: 45:[57, 2, 9] Operation: 14-5=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 45:[5, 2, 43], Operations: ['57-14=43']
Exploring Operation: 5+2=7, Resulting Numbers: [43, 7]
Generated Node #0,0,0: 45:[43, 7] Operation: 5+2=7
Exploring Operation: 5*2=10, Resulting Numbers: [43, 10]
Generated Node #0,0,1: 45:[43, 10] Operation: 5*2=10
Exploring Operation: 5-2=3, Resulting Numbers: [43, 3]
Generated Node #0,0,2: 45:[43, 3] Operation: 5-2=3
Exploring Operation: 2+43=45, Resulting Numbers: [5, 45]
Generated Node #0,0,3: 45:[5, 45] Operation: 2+43=45
Exploring Operation: 5+43=48, Resulting Numbers: [2, 48]
Generated Node #0,0,4: 45:[2, 48] Operation: 5+43=48
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 45:[5, 45], Operations: ['57-14=43', '2+43=45']
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,45 unequal: No Solution
Exploring Operation: 5*45=225, Resulting Numbers: [225]
225,45 unequal: No Solution
Exploring Operation: 45/5=9, Resulting Numbers: [9]
9,45 unequal: No Solution
Exploring Operation: 5+45=50, Resulting Numbers: [50]
50,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 45:[43, 3], Operations: ['57-14=43', '5-2=3']
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,45 unequal: No Solution
Exploring Operation: 43+3=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Exploring Operation: 43*3=129, Resulting Numbers: [129]
129,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 45:[43, 10], Operations: ['57-14=43', '5*2=10']
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,45 unequal: No Solution
Exploring Operation: 43*10=430, Resulting Numbers: [430]
430,45 unequal: No Solution
Exploring Operation: 43+10=53, Resulting Numbers: [53]
53,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 45:[43, 7], Operations: ['57-14=43', '5+2=7']
Exploring Operation: 43-7=36, Resulting Numbers: [36]
36,45 unequal: No Solution
Exploring Operation: 43+7=50, Resulting Numbers: [50]
50,45 unequal: No Solution
Exploring Operation: 43*7=301, Resulting Numbers: [301]
301,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 45:[2, 48], Operations: ['57-14=43', '5+43=48']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,45 unequal: No Solution
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,45 unequal: No Solution
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 45:[2, 14, 52], Operations: ['57-5=52']
Exploring Operation: 14/2=7, Resulting Numbers: [52, 7]
Generated Node #0,1,0: 45:[52, 7] Operation: 14/2=7
Exploring Operation: 14-2=12, Resulting Numbers: [52, 12]
Generated Node #0,1,1: 45:[52, 12] Operation: 14-2=12
Exploring Operation: 2+14=16, Resulting Numbers: [52, 16]
Generated Node #0,1,2: 45:[52, 16] Operation: 2+14=16
Exploring Operation: 52-2=50, Resulting Numbers: [14, 50]
Generated Node #0,1,3: 45:[14, 50] Operation: 52-2=50
Exploring Operation: 52-14=38, Resulting Numbers: [2, 38]
Generated Node #0,1,4: 45:[2, 38] Operation: 52-14=38
Moving to Node #0,1,3
Current State: 45:[14, 50], Operations: ['57-5=52', '52-2=50']
Exploring Operation: 14*50=700, Resulting Numbers: [700]
700,45 unequal: No Solution
Exploring Operation: 50-14=36, Resulting Numbers: [36]
36,45 unequal: No Solution
Exploring Operation: 14+50=64, Resulting Numbers: [64]
64,45 unequal: No Solution
Moving to Node #0,1,4
Current State: 45:[2, 38], Operations: ['57-5=52', '52-14=38']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,45 unequal: No Solution
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,45 unequal: No Solution
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,45 unequal: No Solution
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,45 unequal: No Solution
Moving to Node #0,1,2
Current State: 45:[52, 16], Operations: ['57-5=52', '2+14=16']
Exploring Operation: 52-16=36, Resulting Numbers: [36]
36,45 unequal: No Solution
Exploring Operation: 52*16=832, Resulting Numbers: [832]
832,45 unequal: No Solution
Exploring Operation: 52+16=68, Resulting Numbers: [68]
68,45 unequal: No Solution
Moving to Node #0,1,0
Current State: 45:[52, 7], Operations: ['57-5=52', '14/2=7']
Exploring Operation: 52+7=59, Resulting Numbers: [59]
59,45 unequal: No Solution
Exploring Operation: 52*7=364, Resulting Numbers: [364]
364,45 unequal: No Solution
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[5, 57, 2, 14], Operations: []
Exploring Operation: 57-5=52, Resulting Numbers: [2, 14, 52]
Generated Node #0,1: 45:[2, 14, 52] Operation: 57-5=52
Moving to Node #0,1
Current State: 45:[2, 14, 52], Operations: ['57-5=52']
Exploring Operation: 14/2=7, Resulting Numbers: [52, 7]
Generated Node #0,1,0: 45:[52, 7] Operation: 14/2=7
Moving to Node #0,1,0
Current State: 45:[52, 7], Operations: ['57-5=52', '14/2=7']
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.957465 | hs_5 | sum_heuristic |
[
55,
23,
74,
33
] | 11 | [
"23*33=759",
"55+759=814",
"814/74=11"
] | Current State: 11:[55, 23, 74, 33], Operations: []
Exploring Operation: 23*33=759, Resulting Numbers: [55, 74, 759]
Generated Node #2: [55, 74, 759] from Operation: 23*33=759
Current State: 11:[55, 74, 759], Operations: ['23*33=759']
Exploring Operation: 55+759=814, Resulting Numbers: [74, 814]
Generated Node #3: [74, 814] from Operation: 55+759=814
Current State: 11:[74, 814], Operations: ['23*33=759', '55+759=814']
Exploring Operation: 814/74=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[55, 23, 74, 33], Operations: []
Exploring Operation: 74-33=41, Resulting Numbers: [55, 23, 41]
Generated Node #0,0: 11:[55, 23, 41] Operation: 74-33=41
Exploring Operation: 55-33=22, Resulting Numbers: [23, 74, 22]
Generated Node #0,1: 11:[23, 74, 22] Operation: 55-33=22
Exploring Operation: 74-55=19, Resulting Numbers: [23, 33, 19]
Generated Node #0,2: 11:[23, 33, 19] Operation: 74-55=19
Exploring Operation: 55-23=32, Resulting Numbers: [74, 33, 32]
Generated Node #0,3: 11:[74, 33, 32] Operation: 55-23=32
Start Sub Search at level 1: Moving to Node #0,2
Current State: 11:[23, 33, 19], Operations: ['74-55=19']
Exploring Operation: 23-19=4, Resulting Numbers: [33, 4]
Generated Node #0,2,0: 11:[33, 4] Operation: 23-19=4
Exploring Operation: 33-19=14, Resulting Numbers: [23, 14]
Generated Node #0,2,1: 11:[23, 14] Operation: 33-19=14
Exploring Operation: 23+33=56, Resulting Numbers: [19, 56]
Generated Node #0,2,2: 11:[19, 56] Operation: 23+33=56
Exploring Operation: 33-23=10, Resulting Numbers: [19, 10]
Generated Node #0,2,3: 11:[19, 10] Operation: 33-23=10
Moving to Node #0,2,3
Current State: 11:[19, 10], Operations: ['74-55=19', '33-23=10']
Exploring Operation: 19*10=190, Resulting Numbers: [190]
190,11 unequal: No Solution
Exploring Operation: 19+10=29, Resulting Numbers: [29]
29,11 unequal: No Solution
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Moving to Node #0,2,1
Current State: 11:[23, 14], Operations: ['74-55=19', '33-19=14']
Exploring Operation: 23*14=322, Resulting Numbers: [322]
322,11 unequal: No Solution
Exploring Operation: 23-14=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Exploring Operation: 23+14=37, Resulting Numbers: [37]
37,11 unequal: No Solution
Moving to Node #0,2,0
Current State: 11:[33, 4], Operations: ['74-55=19', '23-19=4']
Exploring Operation: 33+4=37, Resulting Numbers: [37]
37,11 unequal: No Solution
Exploring Operation: 33*4=132, Resulting Numbers: [132]
132,11 unequal: No Solution
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,11 unequal: No Solution
Moving to Node #0,2,2
Current State: 11:[19, 56], Operations: ['74-55=19', '23+33=56']
Exploring Operation: 19+56=75, Resulting Numbers: [75]
75,11 unequal: No Solution
Exploring Operation: 56-19=37, Resulting Numbers: [37]
37,11 unequal: No Solution
Exploring Operation: 19*56=1064, Resulting Numbers: [1064]
1064,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[55, 23, 41], Operations: ['74-33=41']
Exploring Operation: 55+23=78, Resulting Numbers: [41, 78]
Generated Node #0,0,0: 11:[41, 78] Operation: 55+23=78
Exploring Operation: 41-23=18, Resulting Numbers: [55, 18]
Generated Node #0,0,1: 11:[55, 18] Operation: 41-23=18
Exploring Operation: 55-23=32, Resulting Numbers: [41, 32]
Generated Node #0,0,2: 11:[41, 32] Operation: 55-23=32
Exploring Operation: 55-41=14, Resulting Numbers: [23, 14]
Generated Node #0,0,3: 11:[23, 14] Operation: 55-41=14
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 11:[23, 14], Operations: ['74-33=41', '55-41=14']
Exploring Operation: 23+14=37, Resulting Numbers: [37]
37,11 unequal: No Solution
Exploring Operation: 23-14=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Exploring Operation: 23*14=322, Resulting Numbers: [322]
322,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 11:[55, 18], Operations: ['74-33=41', '41-23=18']
Exploring Operation: 55+18=73, Resulting Numbers: [73]
73,11 unequal: No Solution
Exploring Operation: 55-18=37, Resulting Numbers: [37]
37,11 unequal: No Solution
Exploring Operation: 55*18=990, Resulting Numbers: [990]
990,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 11:[41, 32], Operations: ['74-33=41', '55-23=32']
Exploring Operation: 41+32=73, Resulting Numbers: [73]
73,11 unequal: No Solution
Exploring Operation: 41-32=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Exploring Operation: 41*32=1312, Resulting Numbers: [1312]
1312,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 11:[41, 78], Operations: ['74-33=41', '55+23=78']
Exploring Operation: 78-41=37, Resulting Numbers: [37]
37,11 unequal: No Solution
Exploring Operation: 41*78=3198, Resulting Numbers: [3198]
3198,11 unequal: No Solution
Exploring Operation: 41+78=119, Resulting Numbers: [119]
119,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[23, 74, 22], Operations: ['55-33=22']
Exploring Operation: 23+74=97, Resulting Numbers: [22, 97]
Generated Node #0,1,0: 11:[22, 97] Operation: 23+74=97
Exploring Operation: 23-22=1, Resulting Numbers: [74, 1]
Generated Node #0,1,1: 11:[74, 1] Operation: 23-22=1
Exploring Operation: 74-22=52, Resulting Numbers: [23, 52]
Generated Node #0,1,2: 11:[23, 52] Operation: 74-22=52
Exploring Operation: 74-23=51, Resulting Numbers: [22, 51]
Generated Node #0,1,3: 11:[22, 51] Operation: 74-23=51
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 11:[22, 51], Operations: ['55-33=22', '74-23=51']
Exploring Operation: 51-22=29, Resulting Numbers: [29]
29,11 unequal: No Solution
Exploring Operation: 22*51=1122, Resulting Numbers: [1122]
1122,11 unequal: No Solution
Exploring Operation: 22+51=73, Resulting Numbers: [73]
73,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 11:[23, 52], Operations: ['55-33=22', '74-22=52']
Exploring Operation: 23+52=75, Resulting Numbers: [75]
75,11 unequal: No Solution
Exploring Operation: 23*52=1196, Resulting Numbers: [1196]
1196,11 unequal: No Solution
Exploring Operation: 52-23=29, Resulting Numbers: [29]
29,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 11:[74, 1], Operations: ['55-33=22', '23-22=1']
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,11 unequal: No Solution
Exploring Operation: 74+1=75, Resulting Numbers: [75]
75,11 unequal: No Solution
Exploring Operation: 74/1=74, Resulting Numbers: [74]
74,11 unequal: No Solution
Exploring Operation: 74*1=74, Resulting Numbers: [74]
74,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 11:[22, 97], Operations: ['55-33=22', '23+74=97']
Exploring Operation: 22*97=2134, Resulting Numbers: [2134]
2134,11 unequal: No Solution
Exploring Operation: 22+97=119, Resulting Numbers: [119]
119,11 unequal: No Solution
Exploring Operation: 97-22=75, Resulting Numbers: [75]
75,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 11:[74, 33, 32], Operations: ['55-23=32']
Exploring Operation: 33-32=1, Resulting Numbers: [74, 1]
Generated Node #0,3,0: 11:[74, 1] Operation: 33-32=1
Exploring Operation: 74-32=42, Resulting Numbers: [33, 42]
Generated Node #0,3,1: 11:[33, 42] Operation: 74-32=42
Exploring Operation: 74-33=41, Resulting Numbers: [32, 41]
Generated Node #0,3,2: 11:[32, 41] Operation: 74-33=41
Exploring Operation: 74+33=107, Resulting Numbers: [32, 107]
Generated Node #0,3,3: 11:[32, 107] Operation: 74+33=107
Moving to Node #0,3,2
Current State: 11:[32, 41], Operations: ['55-23=32', '74-33=41']
Exploring Operation: 32*41=1312, Resulting Numbers: [1312]
1312,11 unequal: No Solution
Exploring Operation: 41-32=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Exploring Operation: 32+41=73, Resulting Numbers: [73]
73,11 unequal: No Solution
Moving to Node #0,3,1
Current State: 11:[33, 42], Operations: ['55-23=32', '74-32=42']
Exploring Operation: 33+42=75, Resulting Numbers: [75]
75,11 unequal: No Solution
Exploring Operation: 42-33=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Exploring Operation: 33*42=1386, Resulting Numbers: [1386]
1386,11 unequal: No Solution
Moving to Node #0,3,0
Current State: 11:[74, 1], Operations: ['55-23=32', '33-32=1']
Exploring Operation: 74+1=75, Resulting Numbers: [75]
75,11 unequal: No Solution
Exploring Operation: 74*1=74, Resulting Numbers: [74]
74,11 unequal: No Solution
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,11 unequal: No Solution
Exploring Operation: 74/1=74, Resulting Numbers: [74]
74,11 unequal: No Solution
Moving to Node #0,3,3
Current State: 11:[32, 107], Operations: ['55-23=32', '74+33=107']
Exploring Operation: 32+107=139, Resulting Numbers: [139]
139,11 unequal: No Solution
Exploring Operation: 107-32=75, Resulting Numbers: [75]
75,11 unequal: No Solution
Exploring Operation: 32*107=3424, Resulting Numbers: [3424]
3424,11 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 |
[
72,
11,
7,
50
] | 77 | [
"72-11=61",
"61-50=11",
"7*11=77"
] | Current State: 77:[72, 11, 7, 50], Operations: []
Exploring Operation: 72-11=61, Resulting Numbers: [7, 50, 61]
Generated Node #2: [7, 50, 61] from Operation: 72-11=61
Current State: 77:[7, 50, 61], Operations: ['72-11=61']
Exploring Operation: 61-50=11, Resulting Numbers: [7, 11]
Generated Node #3: [7, 11] from Operation: 61-50=11
Current State: 77:[7, 11], Operations: ['72-11=61', '61-50=11']
Exploring Operation: 7*11=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[72, 11, 7, 50], Operations: []
Exploring Operation: 11+50=61, Resulting Numbers: [72, 7, 61]
Generated Node #0,0: 77:[72, 7, 61] Operation: 11+50=61
Exploring Operation: 72-50=22, Resulting Numbers: [11, 7, 22]
Generated Node #0,1: 77:[11, 7, 22] Operation: 72-50=22
Exploring Operation: 7+50=57, Resulting Numbers: [72, 11, 57]
Generated Node #0,2: 77:[72, 11, 57] Operation: 7+50=57
Moving to Node #0,1
Current State: 77:[11, 7, 22], Operations: ['72-50=22']
Exploring Operation: 22-11=11, Resulting Numbers: [7, 11]
Generated Node #0,1,0: 77:[7, 11] Operation: 22-11=11
Exploring Operation: 22-7=15, Resulting Numbers: [11, 15]
Generated Node #0,1,1: 77:[11, 15] Operation: 22-7=15
Exploring Operation: 22/11=2, Resulting Numbers: [7, 2]
Generated Node #0,1,2: 77:[7, 2] Operation: 22/11=2
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 77:[7, 11], Operations: ['72-50=22', '22-11=11']
Exploring Operation: 7+11=18, Resulting Numbers: [18]
18,77 unequal: No Solution
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 7*11=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[72, 11, 7, 50], Operations: []
Exploring Operation: 72-50=22, Resulting Numbers: [11, 7, 22]
Generated Node #0,1: 77:[11, 7, 22] Operation: 72-50=22
Moving to Node #0,1
Current State: 77:[11, 7, 22], Operations: ['72-50=22']
Exploring Operation: 22-11=11, Resulting Numbers: [7, 11]
Generated Node #0,1,0: 77:[7, 11] Operation: 22-11=11
Moving to Node #0,1,0
Current State: 77:[7, 11], Operations: ['72-50=22', '22-11=11']
Exploring Operation: 7*11=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
70,
4,
71,
99
] | 42 | [
"99-71=28",
"4*28=112",
"112-70=42"
] | Current State: 42:[70, 4, 71, 99], Operations: []
Exploring Operation: 99-71=28, Resulting Numbers: [70, 4, 28]
Generated Node #2: [70, 4, 28] from Operation: 99-71=28
Current State: 42:[70, 4, 28], Operations: ['99-71=28']
Exploring Operation: 4*28=112, Resulting Numbers: [70, 112]
Generated Node #3: [70, 112] from Operation: 4*28=112
Current State: 42:[70, 112], Operations: ['99-71=28', '4*28=112']
Exploring Operation: 112-70=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[70, 4, 71, 99], Operations: []
Exploring Operation: 71-70=1, Resulting Numbers: [4, 99, 1]
Generated Node #0,0: 42:[4, 99, 1] Operation: 71-70=1
Exploring Operation: 70-4=66, Resulting Numbers: [71, 99, 66]
Generated Node #0,1: 42:[71, 99, 66] Operation: 70-4=66
Exploring Operation: 71-4=67, Resulting Numbers: [70, 99, 67]
Generated Node #0,2: 42:[70, 99, 67] Operation: 71-4=67
Exploring Operation: 99-70=29, Resulting Numbers: [4, 71, 29]
Generated Node #0,3: 42:[4, 71, 29] Operation: 99-70=29
Exploring Operation: 99-71=28, Resulting Numbers: [70, 4, 28]
Generated Node #0,4: 42:[70, 4, 28] Operation: 99-71=28
Moving to Node #0,4
Current State: 42:[70, 4, 28], Operations: ['99-71=28']
Exploring Operation: 70-28=42, Resulting Numbers: [4, 42]
Generated Node #0,4,0: 42:[4, 42] Operation: 70-28=42
Exploring Operation: 28/4=7, Resulting Numbers: [70, 7]
Generated Node #0,4,1: 42:[70, 7] Operation: 28/4=7
Exploring Operation: 28-4=24, Resulting Numbers: [70, 24]
Generated Node #0,4,2: 42:[70, 24] Operation: 28-4=24
Exploring Operation: 70-4=66, Resulting Numbers: [28, 66]
Generated Node #0,4,3: 42:[28, 66] Operation: 70-4=66
Exploring Operation: 4+28=32, Resulting Numbers: [70, 32]
Generated Node #0,4,4: 42:[70, 32] Operation: 4+28=32
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 42:[4, 42], Operations: ['99-71=28', '70-28=42']
Exploring Operation: 4*42=168, Resulting Numbers: [168]
168,42 unequal: No Solution
Exploring Operation: 42-4=38, Resulting Numbers: [38]
38,42 unequal: No Solution
Exploring Operation: 4+42=46, Resulting Numbers: [46]
46,42 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 #0,4,1
Current State: 42:[70, 7], Operations: ['99-71=28', '28/4=7']
Exploring Operation: 70*7=490, Resulting Numbers: [490]
490,42 unequal: No Solution
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,42 unequal: No Solution
Exploring Operation: 70+7=77, Resulting Numbers: [77]
77,42 unequal: No Solution
Exploring Operation: 70-7=63, Resulting Numbers: [63]
63,42 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 #0,4,2
Current State: 42:[70, 24], Operations: ['99-71=28', '28-4=24']
Exploring Operation: 70*24=1680, Resulting Numbers: [1680]
1680,42 unequal: No Solution
Exploring Operation: 70-24=46, Resulting Numbers: [46]
46,42 unequal: No Solution
Exploring Operation: 70+24=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 #0,4,3
Current State: 42:[28, 66], Operations: ['99-71=28', '70-4=66']
Exploring Operation: 66-28=38, Resulting Numbers: [38]
38,42 unequal: No Solution
Exploring Operation: 28+66=94, Resulting Numbers: [94]
94,42 unequal: No Solution
Exploring Operation: 28*66=1848, Resulting Numbers: [1848]
1848,42 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 #0,4,4
Current State: 42:[70, 32], Operations: ['99-71=28', '4+28=32']
Exploring Operation: 70*32=2240, Resulting Numbers: [2240]
2240,42 unequal: No Solution
Exploring Operation: 70-32=38, Resulting Numbers: [38]
38,42 unequal: No Solution
Exploring Operation: 70+32=102, Resulting Numbers: [102]
102,42 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: 42:[4, 71, 29], Operations: ['99-70=29']
Exploring Operation: 71-29=42, Resulting Numbers: [4, 42]
Generated Node #0,3,0: 42:[4, 42] Operation: 71-29=42
Exploring Operation: 4+71=75, Resulting Numbers: [29, 75]
Generated Node #0,3,1: 42:[29, 75] Operation: 4+71=75
Exploring Operation: 29-4=25, Resulting Numbers: [71, 25]
Generated Node #0,3,2: 42:[71, 25] Operation: 29-4=25
Exploring Operation: 4+29=33, Resulting Numbers: [71, 33]
Generated Node #0,3,3: 42:[71, 33] Operation: 4+29=33
Exploring Operation: 71-4=67, Resulting Numbers: [29, 67]
Generated Node #0,3,4: 42:[29, 67] Operation: 71-4=67
Moving to Node #0,0
Current State: 42:[4, 99, 1], Operations: ['71-70=1']
Exploring Operation: 4*1=4, Resulting Numbers: [99, 4]
Generated Node #0,0,0: 42:[99, 4] Operation: 4*1=4
Exploring Operation: 4+1=5, Resulting Numbers: [99, 5]
Generated Node #0,0,1: 42:[99, 5] Operation: 4+1=5
Exploring Operation: 99-1=98, Resulting Numbers: [4, 98]
Generated Node #0,0,2: 42:[4, 98] Operation: 99-1=98
Exploring Operation: 4-1=3, Resulting Numbers: [99, 3]
Generated Node #0,0,3: 42:[99, 3] Operation: 4-1=3
Exploring Operation: 99-4=95, Resulting Numbers: [1, 95]
Generated Node #0,0,4: 42:[1, 95] Operation: 99-4=95
Moving to Node #0,1
Current State: 42:[71, 99, 66], Operations: ['70-4=66']
Exploring Operation: 99-66=33, Resulting Numbers: [71, 33]
Generated Node #0,1,0: 42:[71, 33] Operation: 99-66=33
Exploring Operation: 99-71=28, Resulting Numbers: [66, 28]
Generated Node #0,1,1: 42:[66, 28] Operation: 99-71=28
Exploring Operation: 71-66=5, Resulting Numbers: [99, 5]
Generated Node #0,1,2: 42:[99, 5] Operation: 71-66=5
Exploring Operation: 71+66=137, Resulting Numbers: [99, 137]
Generated Node #0,1,3: 42:[99, 137] Operation: 71+66=137
Exploring Operation: 71+99=170, Resulting Numbers: [66, 170]
Generated Node #0,1,4: 42:[66, 170] Operation: 71+99=170
Moving to Node #0,2
Current State: 42:[70, 99, 67], Operations: ['71-4=67']
Exploring Operation: 70+67=137, Resulting Numbers: [99, 137]
Generated Node #0,2,0: 42:[99, 137] Operation: 70+67=137
Exploring Operation: 99-70=29, Resulting Numbers: [67, 29]
Generated Node #0,2,1: 42:[67, 29] Operation: 99-70=29
Exploring Operation: 99-67=32, Resulting Numbers: [70, 32]
Generated Node #0,2,2: 42:[70, 32] Operation: 99-67=32
Exploring Operation: 70-67=3, Resulting Numbers: [99, 3]
Generated Node #0,2,3: 42:[99, 3] Operation: 70-67=3
Exploring Operation: 70+99=169, Resulting Numbers: [67, 169]
Generated Node #0,2,4: 42:[67, 169] Operation: 70+99=169
Moving to Node #0,3,0
Current State: 42:[4, 42], Operations: ['99-70=29', '71-29=42']
Exploring Operation: 42-4=38, Resulting Numbers: [38]
38,42 unequal: No Solution
Exploring Operation: 4+42=46, Resulting Numbers: [46]
46,42 unequal: No Solution
Exploring Operation: 4*42=168, Resulting Numbers: [168]
168,42 unequal: No Solution
Moving to Node #0,1,1
Current State: 42:[66, 28], Operations: ['70-4=66', '99-71=28']
Exploring Operation: 66+28=94, Resulting Numbers: [94]
94,42 unequal: No Solution
Exploring Operation: 66*28=1848, Resulting Numbers: [1848]
1848,42 unequal: No Solution
Exploring Operation: 66-28=38, Resulting Numbers: [38]
38,42 unequal: No Solution
Moving to Node #0,3,4
Current State: 42:[29, 67], Operations: ['99-70=29', '71-4=67']
Exploring Operation: 29+67=96, Resulting Numbers: [96]
96,42 unequal: No Solution
Exploring Operation: 29*67=1943, Resulting Numbers: [1943]
1943,42 unequal: No Solution
Exploring Operation: 67-29=38, Resulting Numbers: [38]
38,42 unequal: No Solution
Moving to Node #0,3,2
Current State: 42:[71, 25], Operations: ['99-70=29', '29-4=25']
Exploring Operation: 71-25=46, Resulting Numbers: [46]
46,42 unequal: No Solution
Exploring Operation: 71*25=1775, Resulting Numbers: [1775]
1775,42 unequal: No Solution
Exploring Operation: 71+25=96, Resulting Numbers: [96]
96,42 unequal: No Solution
Moving to Node #0,2,1
Current State: 42:[67, 29], Operations: ['71-4=67', '99-70=29']
Exploring Operation: 67+29=96, Resulting Numbers: [96]
96,42 unequal: No Solution
Exploring Operation: 67-29=38, Resulting Numbers: [38]
38,42 unequal: No Solution
Exploring Operation: 67*29=1943, Resulting Numbers: [1943]
1943,42 unequal: No Solution
Moving to Node #0,1,0
Current State: 42:[71, 33], Operations: ['70-4=66', '99-66=33']
Exploring Operation: 71*33=2343, Resulting Numbers: [2343]
2343,42 unequal: No Solution
Exploring Operation: 71+33=104, Resulting Numbers: [104]
104,42 unequal: No Solution
Exploring Operation: 71-33=38, Resulting Numbers: [38]
38,42 unequal: No Solution
Moving to Node #0,3,3
Current State: 42:[71, 33], Operations: ['99-70=29', '4+29=33']
Exploring Operation: 71+33=104, Resulting Numbers: [104]
104,42 unequal: No Solution
Exploring Operation: 71-33=38, Resulting Numbers: [38]
38,42 unequal: No Solution
Exploring Operation: 71*33=2343, Resulting Numbers: [2343]
2343,42 unequal: No Solution
Moving to Node #0,2,2
Current State: 42:[70, 32], Operations: ['71-4=67', '99-67=32']
Exploring Operation: 70*32=2240, Resulting Numbers: [2240]
2240,42 unequal: No Solution
Exploring Operation: 70+32=102, Resulting Numbers: [102]
102,42 unequal: No Solution
Exploring Operation: 70-32=38, Resulting Numbers: [38]
38,42 unequal: No Solution
Moving to Node #0,3,1
Current State: 42:[29, 75], Operations: ['99-70=29', '4+71=75']
Exploring Operation: 29+75=104, Resulting Numbers: [104]
104,42 unequal: No Solution
Exploring Operation: 29*75=2175, Resulting Numbers: [2175]
2175,42 unequal: No Solution
Exploring Operation: 75-29=46, Resulting Numbers: [46]
46,42 unequal: No Solution
Moving to Node #0,0,4
Current State: 42:[1, 95], Operations: ['71-70=1', '99-4=95']
Exploring Operation: 95-1=94, Resulting Numbers: [94]
94,42 unequal: No Solution
Exploring Operation: 95/1=95, Resulting Numbers: [95]
95,42 unequal: No Solution
Exploring Operation: 1*95=95, Resulting Numbers: [95]
95,42 unequal: No Solution
Exploring Operation: 1+95=96, Resulting Numbers: [96]
96,42 unequal: No Solution
Moving to Node #0,0,2
Current State: 42:[4, 98], Operations: ['71-70=1', '99-1=98']
Exploring Operation: 4*98=392, Resulting Numbers: [392]
392,42 unequal: No Solution
Exploring Operation: 98-4=94, Resulting Numbers: [94]
94,42 unequal: No Solution
Exploring Operation: 4+98=102, Resulting Numbers: [102]
102,42 unequal: No Solution
Moving to Node #0,2,3
Current State: 42:[99, 3], Operations: ['71-4=67', '70-67=3']
Exploring Operation: 99-3=96, Resulting Numbers: [96]
96,42 unequal: No Solution
Exploring Operation: 99*3=297, Resulting Numbers: [297]
297,42 unequal: No Solution
Exploring Operation: 99+3=102, Resulting Numbers: [102]
102,42 unequal: No Solution
Exploring Operation: 99/3=33, Resulting Numbers: [33]
33,42 unequal: No Solution
Moving to Node #0,0,3
Current State: 42:[99, 3], Operations: ['71-70=1', '4-1=3']
Exploring Operation: 99-3=96, Resulting Numbers: [96]
96,42 unequal: No Solution
Exploring Operation: 99/3=33, Resulting Numbers: [33]
33,42 unequal: No Solution
Exploring Operation: 99*3=297, Resulting Numbers: [297]
297,42 unequal: No Solution
Exploring Operation: 99+3=102, Resulting Numbers: [102]
102,42 unequal: No Solution
Moving to Node #0,1,2
Current State: 42:[99, 5], Operations: ['70-4=66', '71-66=5']
Exploring Operation: 99+5=104, Resulting Numbers: [104]
104,42 unequal: No Solution
Exploring Operation: 99*5=495, Resulting Numbers: [495]
495,42 unequal: No Solution
Exploring Operation: 99-5=94, Resulting Numbers: [94]
94,42 unequal: No Solution
Moving to Node #0,0,1
Current State: 42:[99, 5], Operations: ['71-70=1', '4+1=5']
Exploring Operation: 99*5=495, Resulting Numbers: [495]
495,42 unequal: No Solution
Exploring Operation: 99-5=94, Resulting Numbers: [94]
94,42 unequal: No Solution
Exploring Operation: 99+5=104, Resulting Numbers: [104]
104,42 unequal: No Solution
Moving to Node #0,0,0
Current State: 42:[99, 4], Operations: ['71-70=1', '4*1=4']
Exploring Operation: 99+4=103, Resulting Numbers: [103]
103,42 unequal: No Solution
Exploring Operation: 99-4=95, Resulting Numbers: [95]
95,42 unequal: No Solution
Exploring Operation: 99*4=396, Resulting Numbers: [396]
396,42 unequal: No Solution
Moving to Node #0,2,0
Current State: 42:[99, 137], Operations: ['71-4=67', '70+67=137']
Exploring Operation: 99*137=13563, Resulting Numbers: [13563]
13563,42 unequal: No Solution
Exploring Operation: 137-99=38, Resulting Numbers: [38]
38,42 unequal: No Solution
Exploring Operation: 99+137=236, Resulting Numbers: [236]
236,42 unequal: No Solution
Moving to Node #0,2,4
Current State: 42:[67, 169], Operations: ['71-4=67', '70+99=169']
Exploring Operation: 67*169=11323, Resulting Numbers: [11323]
11323,42 unequal: No Solution
Exploring Operation: 67+169=236, Resulting Numbers: [236]
236,42 unequal: No Solution
Exploring Operation: 169-67=102, Resulting Numbers: [102]
102,42 unequal: No Solution
Moving to Node #0,1,4
Current State: 42:[66, 170], Operations: ['70-4=66', '71+99=170']
Exploring Operation: 66*170=11220, Resulting Numbers: [11220]
11220,42 unequal: No Solution
Exploring Operation: 170-66=104, Resulting Numbers: [104]
104,42 unequal: No Solution
Exploring Operation: 66+170=236, Resulting Numbers: [236]
236,42 unequal: No Solution
Moving to Node #0,1,3
Current State: 42:[99, 137], Operations: ['70-4=66', '71+66=137']
Exploring Operation: 137-99=38, Resulting Numbers: [38]
38,42 unequal: No Solution
Exploring Operation: 99+137=236, Resulting Numbers: [236]
236,42 unequal: No Solution
Exploring Operation: 99*137=13563, Resulting Numbers: [13563]
13563,42 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
91,
43,
66,
32
] | 44 | [
"91-43=48",
"66*32=2112",
"2112/48=44"
] | Current State: 44:[91, 43, 66, 32], Operations: []
Exploring Operation: 91-43=48, Resulting Numbers: [66, 32, 48]
Generated Node #2: [66, 32, 48] from Operation: 91-43=48
Current State: 44:[66, 32, 48], Operations: ['91-43=48']
Exploring Operation: 66*32=2112, Resulting Numbers: [48, 2112]
Generated Node #3: [48, 2112] from Operation: 66*32=2112
Current State: 44:[48, 2112], Operations: ['91-43=48', '66*32=2112']
Exploring Operation: 2112/48=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[91, 43, 66, 32], Operations: []
Exploring Operation: 91-43=48, Resulting Numbers: [66, 32, 48]
Generated Node #0,0: 44:[66, 32, 48] Operation: 91-43=48
Exploring Operation: 91-66=25, Resulting Numbers: [43, 32, 25]
Generated Node #0,1: 44:[43, 32, 25] Operation: 91-66=25
Moving to Node #0,1
Current State: 44:[43, 32, 25], Operations: ['91-66=25']
Exploring Operation: 43-32=11, Resulting Numbers: [25, 11]
Generated Node #0,1,0: 44:[25, 11] Operation: 43-32=11
Exploring Operation: 32-25=7, Resulting Numbers: [43, 7]
Generated Node #0,1,1: 44:[43, 7] Operation: 32-25=7
Moving to Node #0,0
Current State: 44:[66, 32, 48], Operations: ['91-43=48']
Exploring Operation: 66-32=34, Resulting Numbers: [48, 34]
Generated Node #0,0,0: 44:[48, 34] Operation: 66-32=34
Exploring Operation: 66-48=18, Resulting Numbers: [32, 18]
Generated Node #0,0,1: 44:[32, 18] Operation: 66-48=18
Moving to Node #0,1,0
Current State: 44:[25, 11], Operations: ['91-66=25', '43-32=11']
Exploring Operation: 25+11=36, Resulting Numbers: [36]
36,44 unequal: No Solution
Exploring Operation: 25-11=14, Resulting Numbers: [14]
14,44 unequal: No Solution
Moving to Node #0,1,1
Current State: 44:[43, 7], Operations: ['91-66=25', '32-25=7']
Exploring Operation: 43+7=50, Resulting Numbers: [50]
50,44 unequal: No Solution
Exploring Operation: 43-7=36, Resulting Numbers: [36]
36,44 unequal: No Solution
Moving to Node #0,0,1
Current State: 44:[32, 18], Operations: ['91-43=48', '66-48=18']
Exploring Operation: 32-18=14, Resulting Numbers: [14]
14,44 unequal: No Solution
Exploring Operation: 32+18=50, Resulting Numbers: [50]
50,44 unequal: No Solution
Moving to Node #0,0,0
Current State: 44:[48, 34], Operations: ['91-43=48', '66-32=34']
Exploring Operation: 48-34=14, Resulting Numbers: [14]
14,44 unequal: No Solution
Exploring Operation: 48+34=82, Resulting Numbers: [82]
82,44 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
55,
70,
74,
65
] | 67 | [
"65-55=10",
"70/10=7",
"74-7=67"
] | Current State: 67:[55, 70, 74, 65], Operations: []
Exploring Operation: 65-55=10, Resulting Numbers: [70, 74, 10]
Generated Node #2: [70, 74, 10] from Operation: 65-55=10
Current State: 67:[70, 74, 10], Operations: ['65-55=10']
Exploring Operation: 70/10=7, Resulting Numbers: [74, 7]
Generated Node #3: [74, 7] from Operation: 70/10=7
Current State: 67:[74, 7], Operations: ['65-55=10', '70/10=7']
Exploring Operation: 74-7=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[55, 70, 74, 65], Operations: []
Exploring Operation: 74-55=19, Resulting Numbers: [70, 65, 19]
Generated Node #0,0: 67:[70, 65, 19] Operation: 74-55=19
Moving to Node #0,0
Current State: 67:[70, 65, 19], Operations: ['74-55=19']
Exploring Operation: 70-19=51, Resulting Numbers: [65, 51]
Generated Node #0,0,0: 67:[65, 51] Operation: 70-19=51
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 67:[65, 51], Operations: ['74-55=19', '70-19=51']
Exploring Operation: 65+51=116, Resulting Numbers: [116]
116,67 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 |
[
82,
37,
59,
17
] | 52 | [
"82+37=119",
"119/17=7",
"59-7=52"
] | Current State: 52:[82, 37, 59, 17], Operations: []
Exploring Operation: 82+37=119, Resulting Numbers: [59, 17, 119]
Generated Node #2: [59, 17, 119] from Operation: 82+37=119
Current State: 52:[59, 17, 119], Operations: ['82+37=119']
Exploring Operation: 119/17=7, Resulting Numbers: [59, 7]
Generated Node #3: [59, 7] from Operation: 119/17=7
Current State: 52:[59, 7], Operations: ['82+37=119', '119/17=7']
Exploring Operation: 59-7=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[82, 37, 59, 17], Operations: []
Exploring Operation: 82-37=45, Resulting Numbers: [59, 17, 45]
Generated Node #0,0: 52:[59, 17, 45] Operation: 82-37=45
Exploring Operation: 82-59=23, Resulting Numbers: [37, 17, 23]
Generated Node #0,1: 52:[37, 17, 23] Operation: 82-59=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[59, 17, 45], Operations: ['82-37=45']
Exploring Operation: 45-17=28, Resulting Numbers: [59, 28]
Generated Node #0,0,0: 52:[59, 28] Operation: 45-17=28
Exploring Operation: 59-45=14, Resulting Numbers: [17, 14]
Generated Node #0,0,1: 52:[17, 14] Operation: 59-45=14
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 52:[17, 14], Operations: ['82-37=45', '59-45=14']
Exploring Operation: 17+14=31, Resulting Numbers: [31]
31,52 unequal: No Solution
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 52:[59, 28], Operations: ['82-37=45', '45-17=28']
Exploring Operation: 59-28=31, Resulting Numbers: [31]
31,52 unequal: No Solution
Exploring Operation: 59+28=87, Resulting Numbers: [87]
87,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 52:[37, 17, 23], Operations: ['82-59=23']
Exploring Operation: 37-23=14, Resulting Numbers: [17, 14]
Generated Node #0,1,0: 52:[17, 14] Operation: 37-23=14
Exploring Operation: 37+17=54, Resulting Numbers: [23, 54]
Generated Node #0,1,1: 52:[23, 54] Operation: 37+17=54
Moving to Node #0,1,0
Current State: 52:[17, 14], Operations: ['82-59=23', '37-23=14']
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 17+14=31, Resulting Numbers: [31]
31,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[23, 54], Operations: ['82-59=23', '37+17=54']
Exploring Operation: 23+54=77, Resulting Numbers: [77]
77,52 unequal: No Solution
Exploring Operation: 54-23=31, Resulting Numbers: [31]
31,52 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 |
[
5,
84,
10,
12
] | 36 | [
"10/5=2",
"84-12=72",
"72/2=36"
] | Current State: 36:[5, 84, 10, 12], Operations: []
Exploring Operation: 10/5=2, Resulting Numbers: [84, 12, 2]
Generated Node #2: [84, 12, 2] from Operation: 10/5=2
Current State: 36:[84, 12, 2], Operations: ['10/5=2']
Exploring Operation: 84-12=72, Resulting Numbers: [2, 72]
Generated Node #3: [2, 72] from Operation: 84-12=72
Current State: 36:[2, 72], Operations: ['10/5=2', '84-12=72']
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[5, 84, 10, 12], Operations: []
Exploring Operation: 84-12=72, Resulting Numbers: [5, 10, 72]
Generated Node #0,0: 36:[5, 10, 72] Operation: 84-12=72
Exploring Operation: 84/12=7, Resulting Numbers: [5, 10, 7]
Generated Node #0,1: 36:[5, 10, 7] Operation: 84/12=7
Exploring Operation: 84-10=74, Resulting Numbers: [5, 12, 74]
Generated Node #0,2: 36:[5, 12, 74] Operation: 84-10=74
Moving to Node #0,1
Current State: 36:[5, 10, 7], Operations: ['84/12=7']
Exploring Operation: 5+7=12, Resulting Numbers: [10, 12]
Generated Node #0,1,0: 36:[10, 12] Operation: 5+7=12
Exploring Operation: 7-5=2, Resulting Numbers: [10, 2]
Generated Node #0,1,1: 36:[10, 2] Operation: 7-5=2
Exploring Operation: 10/5=2, Resulting Numbers: [7, 2]
Generated Node #0,1,2: 36:[7, 2] Operation: 10/5=2
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 36:[10, 12], Operations: ['84/12=7', '5+7=12']
Exploring Operation: 12-10=2, Resulting Numbers: [2]
2,36 unequal: No Solution
Exploring Operation: 10+12=22, Resulting Numbers: [22]
22,36 unequal: No Solution
Exploring Operation: 10*12=120, Resulting Numbers: [120]
120,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 36:[10, 2], Operations: ['84/12=7', '7-5=2']
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,36 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,36 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 36:[7, 2], Operations: ['84/12=7', '10/5=2']
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,36 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,36 unequal: No Solution
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 36:[5, 10, 72], Operations: ['84-12=72']
Exploring Operation: 72-5=67, Resulting Numbers: [10, 67]
Generated Node #0,0,0: 36:[10, 67] Operation: 72-5=67
Exploring Operation: 72-10=62, Resulting Numbers: [5, 62]
Generated Node #0,0,1: 36:[5, 62] Operation: 72-10=62
Exploring Operation: 10/5=2, Resulting Numbers: [72, 2]
Generated Node #0,0,2: 36:[72, 2] Operation: 10/5=2
Moving to Node #0,2
Current State: 36:[5, 12, 74], Operations: ['84-10=74']
Exploring Operation: 74-12=62, Resulting Numbers: [5, 62]
Generated Node #0,2,0: 36:[5, 62] Operation: 74-12=62
Exploring Operation: 5+12=17, Resulting Numbers: [74, 17]
Generated Node #0,2,1: 36:[74, 17] Operation: 5+12=17
Exploring Operation: 74-5=69, Resulting Numbers: [12, 69]
Generated Node #0,2,2: 36:[12, 69] Operation: 74-5=69
Moving to Node #0,0,1
Current State: 36:[5, 62], Operations: ['84-12=72', '72-10=62']
Exploring Operation: 5+62=67, Resulting Numbers: [67]
67,36 unequal: No Solution
Exploring Operation: 62-5=57, Resulting Numbers: [57]
57,36 unequal: No Solution
Exploring Operation: 5*62=310, Resulting Numbers: [310]
310,36 unequal: No Solution
Moving to Node #0,2,0
Current State: 36:[5, 62], Operations: ['84-10=74', '74-12=62']
Exploring Operation: 62-5=57, Resulting Numbers: [57]
57,36 unequal: No Solution
Exploring Operation: 5+62=67, Resulting Numbers: [67]
67,36 unequal: No Solution
Exploring Operation: 5*62=310, Resulting Numbers: [310]
310,36 unequal: No Solution
Moving to Node #0,0,0
Current State: 36:[10, 67], Operations: ['84-12=72', '72-5=67']
Exploring Operation: 67-10=57, Resulting Numbers: [57]
57,36 unequal: No Solution
Exploring Operation: 10*67=670, Resulting Numbers: [670]
670,36 unequal: No Solution
Exploring Operation: 10+67=77, Resulting Numbers: [77]
77,36 unequal: No Solution
Moving to Node #0,2,2
Current State: 36:[12, 69], Operations: ['84-10=74', '74-5=69']
Exploring Operation: 12+69=81, Resulting Numbers: [81]
81,36 unequal: No Solution
Exploring Operation: 12*69=828, Resulting Numbers: [828]
828,36 unequal: No Solution
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,36 unequal: No Solution
Moving to Node #0,0,2
Current State: 36:[72, 2], Operations: ['84-12=72', '10/5=2']
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[5, 84, 10, 12], Operations: []
Exploring Operation: 84-12=72, Resulting Numbers: [5, 10, 72]
Generated Node #0,0: 36:[5, 10, 72] Operation: 84-12=72
Moving to Node #0,0
Current State: 36:[5, 10, 72], Operations: ['84-12=72']
Exploring Operation: 10/5=2, Resulting Numbers: [72, 2]
Generated Node #0,0,2: 36:[72, 2] Operation: 10/5=2
Moving to Node #0,0,2
Current State: 36:[72, 2], Operations: ['84-12=72', '10/5=2']
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 0.967014 | hs_3 | mult_heuristic |
[
26,
90,
44,
20
] | 59 | [
"26-20=6",
"90/6=15",
"44+15=59"
] | Current State: 59:[26, 90, 44, 20], Operations: []
Exploring Operation: 26-20=6, Resulting Numbers: [90, 44, 6]
Generated Node #2: [90, 44, 6] from Operation: 26-20=6
Current State: 59:[90, 44, 6], Operations: ['26-20=6']
Exploring Operation: 90/6=15, Resulting Numbers: [44, 15]
Generated Node #3: [44, 15] from Operation: 90/6=15
Current State: 59:[44, 15], Operations: ['26-20=6', '90/6=15']
Exploring Operation: 44+15=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[26, 90, 44, 20], Operations: []
Exploring Operation: 44+20=64, Resulting Numbers: [26, 90, 64]
Generated Node #0,0: 59:[26, 90, 64] Operation: 44+20=64
Exploring Operation: 90-26=64, Resulting Numbers: [44, 20, 64]
Generated Node #0,1: 59:[44, 20, 64] Operation: 90-26=64
Exploring Operation: 26+20=46, Resulting Numbers: [90, 44, 46]
Generated Node #0,2: 59:[90, 44, 46] Operation: 26+20=46
Exploring Operation: 90-20=70, Resulting Numbers: [26, 44, 70]
Generated Node #0,3: 59:[26, 44, 70] Operation: 90-20=70
Exploring Operation: 26+44=70, Resulting Numbers: [90, 20, 70]
Generated Node #0,4: 59:[90, 20, 70] Operation: 26+44=70
Moving to Node #0,1
Current State: 59:[44, 20, 64], Operations: ['90-26=64']
Exploring Operation: 44-20=24, Resulting Numbers: [64, 24]
Generated Node #0,1,0: 59:[64, 24] Operation: 44-20=24
Exploring Operation: 20+64=84, Resulting Numbers: [44, 84]
Generated Node #0,1,1: 59:[44, 84] Operation: 20+64=84
Exploring Operation: 64-44=20, Resulting Numbers: [20, 20]
Generated Node #0,1,2: 59:[20, 20] Operation: 64-44=20
Exploring Operation: 44+20=64, Resulting Numbers: [64, 64]
Generated Node #0,1,3: 59:[64, 64] Operation: 44+20=64
Exploring Operation: 64-20=44, Resulting Numbers: [44, 44]
Generated Node #0,1,4: 59:[44, 44] Operation: 64-20=44
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 59:[64, 64], Operations: ['90-26=64', '44+20=64']
Exploring Operation: 64+64=128, Resulting Numbers: [128]
128,59 unequal: No Solution
Exploring Operation: 64*64=4096, Resulting Numbers: [4096]
4096,59 unequal: No Solution
Exploring Operation: 64-64=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 64/64=1, Resulting Numbers: [1]
1,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 59:[44, 44], Operations: ['90-26=64', '64-20=44']
Exploring Operation: 44-44=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 44/44=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 44*44=1936, Resulting Numbers: [1936]
1936,59 unequal: No Solution
Exploring Operation: 44+44=88, Resulting Numbers: [88]
88,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 59:[64, 24], Operations: ['90-26=64', '44-20=24']
Exploring Operation: 64*24=1536, Resulting Numbers: [1536]
1536,59 unequal: No Solution
Exploring Operation: 64+24=88, Resulting Numbers: [88]
88,59 unequal: No Solution
Exploring Operation: 64-24=40, Resulting Numbers: [40]
40,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 59:[44, 84], Operations: ['90-26=64', '20+64=84']
Exploring Operation: 44+84=128, Resulting Numbers: [128]
128,59 unequal: No Solution
Exploring Operation: 84-44=40, Resulting Numbers: [40]
40,59 unequal: No Solution
Exploring Operation: 44*84=3696, Resulting Numbers: [3696]
3696,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 59:[20, 20], Operations: ['90-26=64', '64-44=20']
Exploring Operation: 20/20=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 20+20=40, Resulting Numbers: [40]
40,59 unequal: No Solution
Exploring Operation: 20*20=400, Resulting Numbers: [400]
400,59 unequal: No Solution
Exploring Operation: 20-20=0, Resulting Numbers: [0]
0,59 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: 59:[26, 44, 70], Operations: ['90-20=70']
Exploring Operation: 44-26=18, Resulting Numbers: [70, 18]
Generated Node #0,3,0: 59:[70, 18] Operation: 44-26=18
Exploring Operation: 70-44=26, Resulting Numbers: [26, 26]
Generated Node #0,3,1: 59:[26, 26] Operation: 70-44=26
Exploring Operation: 26+70=96, Resulting Numbers: [44, 96]
Generated Node #0,3,2: 59:[44, 96] Operation: 26+70=96
Exploring Operation: 26+44=70, Resulting Numbers: [70, 70]
Generated Node #0,3,3: 59:[70, 70] Operation: 26+44=70
Exploring Operation: 70-26=44, Resulting Numbers: [44, 44]
Generated Node #0,3,4: 59:[44, 44] Operation: 70-26=44
Moving to Node #0,2
Current State: 59:[90, 44, 46], Operations: ['26+20=46']
Exploring Operation: 46-44=2, Resulting Numbers: [90, 2]
Generated Node #0,2,0: 59:[90, 2] Operation: 46-44=2
Exploring Operation: 90-44=46, Resulting Numbers: [46, 46]
Generated Node #0,2,1: 59:[46, 46] Operation: 90-44=46
Exploring Operation: 90-46=44, Resulting Numbers: [44, 44]
Generated Node #0,2,2: 59:[44, 44] Operation: 90-46=44
Exploring Operation: 44+46=90, Resulting Numbers: [90, 90]
Generated Node #0,2,3: 59:[90, 90] Operation: 44+46=90
Exploring Operation: 90+44=134, Resulting Numbers: [46, 134]
Generated Node #0,2,4: 59:[46, 134] Operation: 90+44=134
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 59:[46, 46], Operations: ['26+20=46', '90-44=46']
Exploring Operation: 46-46=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 46*46=2116, Resulting Numbers: [2116]
2116,59 unequal: No Solution
Exploring Operation: 46+46=92, Resulting Numbers: [92]
92,59 unequal: No Solution
Exploring Operation: 46/46=1, Resulting Numbers: [1]
1,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 59:[44, 44], Operations: ['26+20=46', '90-46=44']
Exploring Operation: 44-44=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 44+44=88, Resulting Numbers: [88]
88,59 unequal: No Solution
Exploring Operation: 44*44=1936, Resulting Numbers: [1936]
1936,59 unequal: No Solution
Exploring Operation: 44/44=1, Resulting Numbers: [1]
1,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 59:[90, 90], Operations: ['26+20=46', '44+46=90']
Exploring Operation: 90/90=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 90+90=180, Resulting Numbers: [180]
180,59 unequal: No Solution
Exploring Operation: 90*90=8100, Resulting Numbers: [8100]
8100,59 unequal: No Solution
Exploring Operation: 90-90=0, Resulting Numbers: [0]
0,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 59:[90, 2], Operations: ['26+20=46', '46-44=2']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,59 unequal: No Solution
Exploring Operation: 90+2=92, Resulting Numbers: [92]
92,59 unequal: No Solution
Exploring Operation: 90*2=180, Resulting Numbers: [180]
180,59 unequal: No Solution
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 59:[46, 134], Operations: ['26+20=46', '90+44=134']
Exploring Operation: 134-46=88, Resulting Numbers: [88]
88,59 unequal: No Solution
Exploring Operation: 46+134=180, Resulting Numbers: [180]
180,59 unequal: No Solution
Exploring Operation: 46*134=6164, Resulting Numbers: [6164]
6164,59 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: 59:[26, 90, 64], Operations: ['44+20=64']
Exploring Operation: 26+64=90, Resulting Numbers: [90, 90]
Generated Node #0,0,0: 59:[90, 90] Operation: 26+64=90
Exploring Operation: 64-26=38, Resulting Numbers: [90, 38]
Generated Node #0,0,1: 59:[90, 38] Operation: 64-26=38
Exploring Operation: 90-64=26, Resulting Numbers: [26, 26]
Generated Node #0,0,2: 59:[26, 26] Operation: 90-64=26
Exploring Operation: 26+90=116, Resulting Numbers: [64, 116]
Generated Node #0,0,3: 59:[64, 116] Operation: 26+90=116
Exploring Operation: 90-26=64, Resulting Numbers: [64, 64]
Generated Node #0,0,4: 59:[64, 64] Operation: 90-26=64
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 59:[64, 64], Operations: ['44+20=64', '90-26=64']
Exploring Operation: 64-64=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 64*64=4096, Resulting Numbers: [4096]
4096,59 unequal: No Solution
Exploring Operation: 64/64=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 64+64=128, Resulting Numbers: [128]
128,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 59:[90, 38], Operations: ['44+20=64', '64-26=38']
Exploring Operation: 90+38=128, Resulting Numbers: [128]
128,59 unequal: No Solution
Exploring Operation: 90-38=52, Resulting Numbers: [52]
52,59 unequal: No Solution
Exploring Operation: 90*38=3420, Resulting Numbers: [3420]
3420,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 59:[90, 90], Operations: ['44+20=64', '26+64=90']
Exploring Operation: 90+90=180, Resulting Numbers: [180]
180,59 unequal: No Solution
Exploring Operation: 90*90=8100, Resulting Numbers: [8100]
8100,59 unequal: No Solution
Exploring Operation: 90/90=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 90-90=0, Resulting Numbers: [0]
0,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 59:[64, 116], Operations: ['44+20=64', '26+90=116']
Exploring Operation: 64+116=180, Resulting Numbers: [180]
180,59 unequal: No Solution
Exploring Operation: 116-64=52, Resulting Numbers: [52]
52,59 unequal: No Solution
Exploring Operation: 64*116=7424, Resulting Numbers: [7424]
7424,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 59:[26, 26], Operations: ['44+20=64', '90-64=26']
Exploring Operation: 26+26=52, Resulting Numbers: [52]
52,59 unequal: No Solution
Exploring Operation: 26/26=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 26*26=676, Resulting Numbers: [676]
676,59 unequal: No Solution
Exploring Operation: 26-26=0, Resulting Numbers: [0]
0,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 59:[90, 20, 70], Operations: ['26+44=70']
Exploring Operation: 20+70=90, Resulting Numbers: [90, 90]
Generated Node #0,4,0: 59:[90, 90] Operation: 20+70=90
Exploring Operation: 70-20=50, Resulting Numbers: [90, 50]
Generated Node #0,4,1: 59:[90, 50] Operation: 70-20=50
Exploring Operation: 90+20=110, Resulting Numbers: [70, 110]
Generated Node #0,4,2: 59:[70, 110] Operation: 90+20=110
Exploring Operation: 90-70=20, Resulting Numbers: [20, 20]
Generated Node #0,4,3: 59:[20, 20] Operation: 90-70=20
Exploring Operation: 90-20=70, Resulting Numbers: [70, 70]
Generated Node #0,4,4: 59:[70, 70] Operation: 90-20=70
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 59:[70, 70], Operations: ['26+44=70', '90-20=70']
Exploring Operation: 70*70=4900, Resulting Numbers: [4900]
4900,59 unequal: No Solution
Exploring Operation: 70-70=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 70+70=140, Resulting Numbers: [140]
140,59 unequal: No Solution
Exploring Operation: 70/70=1, Resulting Numbers: [1]
1,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 59:[90, 50], Operations: ['26+44=70', '70-20=50']
Exploring Operation: 90-50=40, Resulting Numbers: [40]
40,59 unequal: No Solution
Exploring Operation: 90+50=140, Resulting Numbers: [140]
140,59 unequal: No Solution
Exploring Operation: 90*50=4500, Resulting Numbers: [4500]
4500,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 59:[90, 90], Operations: ['26+44=70', '20+70=90']
Exploring Operation: 90/90=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 90*90=8100, Resulting Numbers: [8100]
8100,59 unequal: No Solution
Exploring Operation: 90-90=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 90+90=180, Resulting Numbers: [180]
180,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 59:[70, 110], Operations: ['26+44=70', '90+20=110']
Exploring Operation: 110-70=40, Resulting Numbers: [40]
40,59 unequal: No Solution
Exploring Operation: 70*110=7700, Resulting Numbers: [7700]
7700,59 unequal: No Solution
Exploring Operation: 70+110=180, Resulting Numbers: [180]
180,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 59:[20, 20], Operations: ['26+44=70', '90-70=20']
Exploring Operation: 20-20=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 20*20=400, Resulting Numbers: [400]
400,59 unequal: No Solution
Exploring Operation: 20+20=40, Resulting Numbers: [40]
40,59 unequal: No Solution
Exploring Operation: 20/20=1, Resulting Numbers: [1]
1,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,3
Current State: 59:[70, 70], Operations: ['90-20=70', '26+44=70']
Exploring Operation: 70-70=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 70/70=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 70+70=140, Resulting Numbers: [140]
140,59 unequal: No Solution
Exploring Operation: 70*70=4900, Resulting Numbers: [4900]
4900,59 unequal: No Solution
Moving to Node #0,3,4
Current State: 59:[44, 44], Operations: ['90-20=70', '70-26=44']
Exploring Operation: 44*44=1936, Resulting Numbers: [1936]
1936,59 unequal: No Solution
Exploring Operation: 44+44=88, Resulting Numbers: [88]
88,59 unequal: No Solution
Exploring Operation: 44/44=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 44-44=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Moving to Node #0,3,0
Current State: 59:[70, 18], Operations: ['90-20=70', '44-26=18']
Exploring Operation: 70-18=52, Resulting Numbers: [52]
52,59 unequal: No Solution
Exploring Operation: 70+18=88, Resulting Numbers: [88]
88,59 unequal: No Solution
Exploring Operation: 70*18=1260, Resulting Numbers: [1260]
1260,59 unequal: No Solution
Moving to Node #0,3,2
Current State: 59:[44, 96], Operations: ['90-20=70', '26+70=96']
Exploring Operation: 44*96=4224, Resulting Numbers: [4224]
4224,59 unequal: No Solution
Exploring Operation: 96-44=52, Resulting Numbers: [52]
52,59 unequal: No Solution
Exploring Operation: 44+96=140, Resulting Numbers: [140]
140,59 unequal: No Solution
Moving to Node #0,3,1
Current State: 59:[26, 26], Operations: ['90-20=70', '70-44=26']
Exploring Operation: 26/26=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 26*26=676, Resulting Numbers: [676]
676,59 unequal: No Solution
Exploring Operation: 26+26=52, Resulting Numbers: [52]
52,59 unequal: No Solution
Exploring Operation: 26-26=0, Resulting Numbers: [0]
0,59 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
16,
11,
16,
31
] | 42 | [
"16+11=27",
"31-16=15",
"27+15=42"
] | Current State: 42:[16, 11, 16, 31], Operations: []
Exploring Operation: 16+11=27, Resulting Numbers: [31, 27]
Generated Node #2: [31, 27] from Operation: 16+11=27
Current State: 42:[31, 27], Operations: ['16+11=27']
Exploring Operation: 31-16=15, Resulting Numbers: [27, 15]
Generated Node #3: [27, 15] from Operation: 31-16=15
Current State: 42:[27, 15], Operations: ['16+11=27', '31-16=15']
Exploring Operation: 27+15=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[16, 11, 16, 31], Operations: []
Exploring Operation: 11+31=42, Resulting Numbers: [16, 16, 42]
Generated Node #0,0: 42:[16, 16, 42] Operation: 11+31=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[16, 16, 42], Operations: ['11+31=42']
Exploring Operation: 16/16=1, Resulting Numbers: [42, 1]
Generated Node #0,0,0: 42:[42, 1] Operation: 16/16=1
Moving to Node #0,0,0
Current State: 42:[42, 1], Operations: ['11+31=42', '16/16=1']
Exploring Operation: 42*1=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[16, 11, 16, 31], Operations: []
Exploring Operation: 11+31=42, Resulting Numbers: [16, 16, 42]
Generated Node #0,0: 42:[16, 16, 42] Operation: 11+31=42
Moving to Node #0,0
Current State: 42:[16, 16, 42], Operations: ['11+31=42']
Exploring Operation: 16/16=1, Resulting Numbers: [42, 1]
Generated Node #0,0,0: 42:[42, 1] Operation: 16/16=1
Moving to Node #0,0,0
Current State: 42:[42, 1], Operations: ['11+31=42', '16/16=1']
Exploring Operation: 42*1=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
5,
56,
79,
2
] | 33 | [
"5*2=10",
"79-56=23",
"10+23=33"
] | Current State: 33:[5, 56, 79, 2], Operations: []
Exploring Operation: 5*2=10, Resulting Numbers: [56, 79, 10]
Generated Node #2: [56, 79, 10] from Operation: 5*2=10
Current State: 33:[56, 79, 10], Operations: ['5*2=10']
Exploring Operation: 79-56=23, Resulting Numbers: [10, 23]
Generated Node #3: [10, 23] from Operation: 79-56=23
Current State: 33:[10, 23], Operations: ['5*2=10', '79-56=23']
Exploring Operation: 10+23=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[5, 56, 79, 2], Operations: []
Exploring Operation: 79-56=23, Resulting Numbers: [5, 2, 23]
Generated Node #0,0: 33:[5, 2, 23] Operation: 79-56=23
Moving to Node #0,0
Current State: 33:[5, 2, 23], Operations: ['79-56=23']
Exploring Operation: 5+23=28, Resulting Numbers: [2, 28]
Generated Node #0,0,0: 33:[2, 28] Operation: 5+23=28
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 33:[2, 28], Operations: ['79-56=23', '5+23=28']
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,33 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 |
[
38,
90,
4,
30
] | 31 | [
"38-4=34",
"90/30=3",
"34-3=31"
] | Current State: 31:[38, 90, 4, 30], Operations: []
Exploring Operation: 38-4=34, Resulting Numbers: [90, 30, 34]
Generated Node #2: [90, 30, 34] from Operation: 38-4=34
Current State: 31:[90, 30, 34], Operations: ['38-4=34']
Exploring Operation: 90/30=3, Resulting Numbers: [34, 3]
Generated Node #3: [34, 3] from Operation: 90/30=3
Current State: 31:[34, 3], Operations: ['38-4=34', '90/30=3']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[38, 90, 4, 30], Operations: []
Exploring Operation: 38-4=34, Resulting Numbers: [90, 30, 34]
Generated Node #0,0: 31:[90, 30, 34] Operation: 38-4=34
Exploring Operation: 90-38=52, Resulting Numbers: [4, 30, 52]
Generated Node #0,1: 31:[4, 30, 52] Operation: 90-38=52
Exploring Operation: 90/30=3, Resulting Numbers: [38, 4, 3]
Generated Node #0,2: 31:[38, 4, 3] Operation: 90/30=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 31:[4, 30, 52], Operations: ['90-38=52']
Exploring Operation: 52-4=48, Resulting Numbers: [30, 48]
Generated Node #0,1,0: 31:[30, 48] Operation: 52-4=48
Exploring Operation: 52/4=13, Resulting Numbers: [30, 13]
Generated Node #0,1,1: 31:[30, 13] Operation: 52/4=13
Exploring Operation: 4+30=34, Resulting Numbers: [52, 34]
Generated Node #0,1,2: 31:[52, 34] Operation: 4+30=34
Moving to Node #0,1,0
Current State: 31:[30, 48], Operations: ['90-38=52', '52-4=48']
Exploring Operation: 30*48=1440, Resulting Numbers: [1440]
1440,31 unequal: No Solution
Exploring Operation: 30+48=78, Resulting Numbers: [78]
78,31 unequal: No Solution
Exploring Operation: 48-30=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Moving to Node #0,1,1
Current State: 31:[30, 13], Operations: ['90-38=52', '52/4=13']
Exploring Operation: 30+13=43, Resulting Numbers: [43]
43,31 unequal: No Solution
Exploring Operation: 30*13=390, Resulting Numbers: [390]
390,31 unequal: No Solution
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,31 unequal: No Solution
Moving to Node #0,1,2
Current State: 31:[52, 34], Operations: ['90-38=52', '4+30=34']
Exploring Operation: 52-34=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 52*34=1768, Resulting Numbers: [1768]
1768,31 unequal: No Solution
Exploring Operation: 52+34=86, Resulting Numbers: [86]
86,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 31:[38, 4, 3], Operations: ['90/30=3']
Exploring Operation: 38-3=35, Resulting Numbers: [4, 35]
Generated Node #0,2,0: 31:[4, 35] Operation: 38-3=35
Exploring Operation: 38-4=34, Resulting Numbers: [3, 34]
Generated Node #0,2,1: 31:[3, 34] Operation: 38-4=34
Exploring Operation: 4*3=12, Resulting Numbers: [38, 12]
Generated Node #0,2,2: 31:[38, 12] Operation: 4*3=12
Moving to Node #0,2,2
Current State: 31:[38, 12], Operations: ['90/30=3', '4*3=12']
Exploring Operation: 38+12=50, Resulting Numbers: [50]
50,31 unequal: No Solution
Exploring Operation: 38-12=26, Resulting Numbers: [26]
26,31 unequal: No Solution
Exploring Operation: 38*12=456, Resulting Numbers: [456]
456,31 unequal: No Solution
Moving to Node #0,2,0
Current State: 31:[4, 35], Operations: ['90/30=3', '38-3=35']
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[38, 90, 4, 30], Operations: []
Exploring Operation: 90/30=3, Resulting Numbers: [38, 4, 3]
Generated Node #0,2: 31:[38, 4, 3] Operation: 90/30=3
Moving to Node #0,2
Current State: 31:[38, 4, 3], Operations: ['90/30=3']
Exploring Operation: 38-3=35, Resulting Numbers: [4, 35]
Generated Node #0,2,0: 31:[4, 35] Operation: 38-3=35
Moving to Node #0,2,0
Current State: 31:[4, 35], Operations: ['90/30=3', '38-3=35']
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_3 | sum_heuristic |
[
88,
99,
58,
67
] | 20 | [
"99-88=11",
"67-58=9",
"11+9=20"
] | Current State: 20:[88, 99, 58, 67], Operations: []
Exploring Operation: 99-88=11, Resulting Numbers: [58, 67, 11]
Generated Node #2: [58, 67, 11] from Operation: 99-88=11
Current State: 20:[58, 67, 11], Operations: ['99-88=11']
Exploring Operation: 67-58=9, Resulting Numbers: [11, 9]
Generated Node #3: [11, 9] from Operation: 67-58=9
Current State: 20:[11, 9], Operations: ['99-88=11', '67-58=9']
Exploring Operation: 11+9=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[88, 99, 58, 67], Operations: []
Exploring Operation: 88-67=21, Resulting Numbers: [99, 58, 21]
Generated Node #0,0: 20:[99, 58, 21] Operation: 88-67=21
Exploring Operation: 99-58=41, Resulting Numbers: [88, 67, 41]
Generated Node #0,1: 20:[88, 67, 41] Operation: 99-58=41
Exploring Operation: 99-88=11, Resulting Numbers: [58, 67, 11]
Generated Node #0,2: 20:[58, 67, 11] Operation: 99-88=11
Exploring Operation: 88-58=30, Resulting Numbers: [99, 67, 30]
Generated Node #0,3: 20:[99, 67, 30] Operation: 88-58=30
Exploring Operation: 99-67=32, Resulting Numbers: [88, 58, 32]
Generated Node #0,4: 20:[88, 58, 32] Operation: 99-67=32
Moving to Node #0,2
Current State: 20:[58, 67, 11], Operations: ['99-88=11']
Exploring Operation: 67-58=9, Resulting Numbers: [11, 9]
Generated Node #0,2,0: 20:[11, 9] Operation: 67-58=9
Exploring Operation: 67-11=56, Resulting Numbers: [58, 56]
Generated Node #0,2,1: 20:[58, 56] Operation: 67-11=56
Exploring Operation: 58-11=47, Resulting Numbers: [67, 47]
Generated Node #0,2,2: 20:[67, 47] Operation: 58-11=47
Exploring Operation: 58+11=69, Resulting Numbers: [67, 69]
Generated Node #0,2,3: 20:[67, 69] Operation: 58+11=69
Exploring Operation: 67+11=78, Resulting Numbers: [58, 78]
Generated Node #0,2,4: 20:[58, 78] Operation: 67+11=78
Moving to Node #0,4
Current State: 20:[88, 58, 32], Operations: ['99-67=32']
Exploring Operation: 88+58=146, Resulting Numbers: [32, 146]
Generated Node #0,4,0: 20:[32, 146] Operation: 88+58=146
Exploring Operation: 88-58=30, Resulting Numbers: [32, 30]
Generated Node #0,4,1: 20:[32, 30] Operation: 88-58=30
Exploring Operation: 88-32=56, Resulting Numbers: [58, 56]
Generated Node #0,4,2: 20:[58, 56] Operation: 88-32=56
Exploring Operation: 58-32=26, Resulting Numbers: [88, 26]
Generated Node #0,4,3: 20:[88, 26] Operation: 58-32=26
Exploring Operation: 88+32=120, Resulting Numbers: [58, 120]
Generated Node #0,4,4: 20:[58, 120] Operation: 88+32=120
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 20:[32, 30], Operations: ['99-67=32', '88-58=30']
Exploring Operation: 32+30=62, Resulting Numbers: [62]
62,20 unequal: No Solution
Exploring Operation: 32*30=960, Resulting Numbers: [960]
960,20 unequal: No Solution
Exploring Operation: 32-30=2, Resulting Numbers: [2]
2,20 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 #0,4,2
Current State: 20:[58, 56], Operations: ['99-67=32', '88-32=56']
Exploring Operation: 58+56=114, Resulting Numbers: [114]
114,20 unequal: No Solution
Exploring Operation: 58-56=2, Resulting Numbers: [2]
2,20 unequal: No Solution
Exploring Operation: 58*56=3248, Resulting Numbers: [3248]
3248,20 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 #0,4,3
Current State: 20:[88, 26], Operations: ['99-67=32', '58-32=26']
Exploring Operation: 88+26=114, Resulting Numbers: [114]
114,20 unequal: No Solution
Exploring Operation: 88*26=2288, Resulting Numbers: [2288]
2288,20 unequal: No Solution
Exploring Operation: 88-26=62, Resulting Numbers: [62]
62,20 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 #0,4,0
Current State: 20:[32, 146], Operations: ['99-67=32', '88+58=146']
Exploring Operation: 146-32=114, Resulting Numbers: [114]
114,20 unequal: No Solution
Exploring Operation: 32*146=4672, Resulting Numbers: [4672]
4672,20 unequal: No Solution
Exploring Operation: 32+146=178, Resulting Numbers: [178]
178,20 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 #0,4,4
Current State: 20:[58, 120], Operations: ['99-67=32', '88+32=120']
Exploring Operation: 58+120=178, Resulting Numbers: [178]
178,20 unequal: No Solution
Exploring Operation: 120-58=62, Resulting Numbers: [62]
62,20 unequal: No Solution
Exploring Operation: 58*120=6960, Resulting Numbers: [6960]
6960,20 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: 20:[99, 58, 21], Operations: ['88-67=21']
Exploring Operation: 99+58=157, Resulting Numbers: [21, 157]
Generated Node #0,0,0: 20:[21, 157] Operation: 99+58=157
Exploring Operation: 58-21=37, Resulting Numbers: [99, 37]
Generated Node #0,0,1: 20:[99, 37] Operation: 58-21=37
Exploring Operation: 99-21=78, Resulting Numbers: [58, 78]
Generated Node #0,0,2: 20:[58, 78] Operation: 99-21=78
Exploring Operation: 99+21=120, Resulting Numbers: [58, 120]
Generated Node #0,0,3: 20:[58, 120] Operation: 99+21=120
Exploring Operation: 99-58=41, Resulting Numbers: [21, 41]
Generated Node #0,0,4: 20:[21, 41] Operation: 99-58=41
Moving to Node #0,1
Current State: 20:[88, 67, 41], Operations: ['99-58=41']
Exploring Operation: 88-41=47, Resulting Numbers: [67, 47]
Generated Node #0,1,0: 20:[67, 47] Operation: 88-41=47
Exploring Operation: 88+67=155, Resulting Numbers: [41, 155]
Generated Node #0,1,1: 20:[41, 155] Operation: 88+67=155
Exploring Operation: 67-41=26, Resulting Numbers: [88, 26]
Generated Node #0,1,2: 20:[88, 26] Operation: 67-41=26
Exploring Operation: 88-67=21, Resulting Numbers: [41, 21]
Generated Node #0,1,3: 20:[41, 21] Operation: 88-67=21
Exploring Operation: 88+41=129, Resulting Numbers: [67, 129]
Generated Node #0,1,4: 20:[67, 129] Operation: 88+41=129
Moving to Node #0,3
Current State: 20:[99, 67, 30], Operations: ['88-58=30']
Exploring Operation: 67-30=37, Resulting Numbers: [99, 37]
Generated Node #0,3,0: 20:[99, 37] Operation: 67-30=37
Exploring Operation: 99-30=69, Resulting Numbers: [67, 69]
Generated Node #0,3,1: 20:[67, 69] Operation: 99-30=69
Exploring Operation: 99+30=129, Resulting Numbers: [67, 129]
Generated Node #0,3,2: 20:[67, 129] Operation: 99+30=129
Exploring Operation: 99-67=32, Resulting Numbers: [30, 32]
Generated Node #0,3,3: 20:[30, 32] Operation: 99-67=32
Exploring Operation: 99+67=166, Resulting Numbers: [30, 166]
Generated Node #0,3,4: 20:[30, 166] Operation: 99+67=166
Moving to Node #0,2,0
Current State: 20:[11, 9], Operations: ['99-88=11', '67-58=9']
Exploring Operation: 11*9=99, Resulting Numbers: [99]
99,20 unequal: No Solution
Exploring Operation: 11+9=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[88, 99, 58, 67], Operations: []
Exploring Operation: 99-88=11, Resulting Numbers: [58, 67, 11]
Generated Node #0,2: 20:[58, 67, 11] Operation: 99-88=11
Moving to Node #0,2
Current State: 20:[58, 67, 11], Operations: ['99-88=11']
Exploring Operation: 67-58=9, Resulting Numbers: [11, 9]
Generated Node #0,2,0: 20:[11, 9] Operation: 67-58=9
Moving to Node #0,2,0
Current State: 20:[11, 9], Operations: ['99-88=11', '67-58=9']
Exploring Operation: 11+9=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 0.955729 | hs_5 | mult_heuristic |
[
75,
23,
21,
70
] | 49 | [
"75+23=98",
"70-21=49",
"98-49=49"
] | Current State: 49:[75, 23, 21, 70], Operations: []
Exploring Operation: 75+23=98, Resulting Numbers: [21, 70, 98]
Generated Node #2: [21, 70, 98] from Operation: 75+23=98
Current State: 49:[21, 70, 98], Operations: ['75+23=98']
Exploring Operation: 70-21=49, Resulting Numbers: [98, 49]
Generated Node #3: [98, 49] from Operation: 70-21=49
Current State: 49:[98, 49], Operations: ['75+23=98', '70-21=49']
Exploring Operation: 98-49=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[75, 23, 21, 70], Operations: []
Exploring Operation: 75-70=5, Resulting Numbers: [23, 21, 5]
Generated Node #0,0: 49:[23, 21, 5] Operation: 75-70=5
Exploring Operation: 75-23=52, Resulting Numbers: [21, 70, 52]
Generated Node #0,1: 49:[21, 70, 52] Operation: 75-23=52
Exploring Operation: 70-23=47, Resulting Numbers: [75, 21, 47]
Generated Node #0,2: 49:[75, 21, 47] Operation: 70-23=47
Exploring Operation: 75-21=54, Resulting Numbers: [23, 70, 54]
Generated Node #0,3: 49:[23, 70, 54] Operation: 75-21=54
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[23, 21, 5], Operations: ['75-70=5']
Exploring Operation: 21-5=16, Resulting Numbers: [23, 16]
Generated Node #0,0,0: 49:[23, 16] Operation: 21-5=16
Exploring Operation: 23+21=44, Resulting Numbers: [5, 44]
Generated Node #0,0,1: 49:[5, 44] Operation: 23+21=44
Exploring Operation: 23-5=18, Resulting Numbers: [21, 18]
Generated Node #0,0,2: 49:[21, 18] Operation: 23-5=18
Exploring Operation: 23-21=2, Resulting Numbers: [5, 2]
Generated Node #0,0,3: 49:[5, 2] Operation: 23-21=2
Moving to Node #0,0,1
Current State: 49:[5, 44], Operations: ['75-70=5', '23+21=44']
Exploring Operation: 44-5=39, Resulting Numbers: [39]
39,49 unequal: No Solution
Exploring Operation: 5+44=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[75, 23, 21, 70], Operations: []
Exploring Operation: 75-70=5, Resulting Numbers: [23, 21, 5]
Generated Node #0,0: 49:[23, 21, 5] Operation: 75-70=5
Moving to Node #0,0
Current State: 49:[23, 21, 5], Operations: ['75-70=5']
Exploring Operation: 23+21=44, Resulting Numbers: [5, 44]
Generated Node #0,0,1: 49:[5, 44] Operation: 23+21=44
Moving to Node #0,0,1
Current State: 49:[5, 44], Operations: ['75-70=5', '23+21=44']
Exploring Operation: 5+44=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
78,
31,
29,
26
] | 63 | [
"78/26=3",
"31+29=60",
"3+60=63"
] | Current State: 63:[78, 31, 29, 26], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [31, 29, 3]
Generated Node #2: [31, 29, 3] from Operation: 78/26=3
Current State: 63:[31, 29, 3], Operations: ['78/26=3']
Exploring Operation: 31+29=60, Resulting Numbers: [3, 60]
Generated Node #3: [3, 60] from Operation: 31+29=60
Current State: 63:[3, 60], Operations: ['78/26=3', '31+29=60']
Exploring Operation: 3+60=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[78, 31, 29, 26], Operations: []
Exploring Operation: 31+29=60, Resulting Numbers: [78, 26, 60]
Generated Node #0,0: 63:[78, 26, 60] Operation: 31+29=60
Exploring Operation: 31-26=5, Resulting Numbers: [78, 29, 5]
Generated Node #0,1: 63:[78, 29, 5] Operation: 31-26=5
Exploring Operation: 78/26=3, Resulting Numbers: [31, 29, 3]
Generated Node #0,2: 63:[31, 29, 3] Operation: 78/26=3
Exploring Operation: 31-29=2, Resulting Numbers: [78, 26, 2]
Generated Node #0,3: 63:[78, 26, 2] Operation: 31-29=2
Exploring Operation: 29-26=3, Resulting Numbers: [78, 31, 3]
Generated Node #0,4: 63:[78, 31, 3] Operation: 29-26=3
Moving to Node #0,2
Current State: 63:[31, 29, 3], Operations: ['78/26=3']
Exploring Operation: 31+29=60, Resulting Numbers: [3, 60]
Generated Node #0,2,0: 63:[3, 60] Operation: 31+29=60
Exploring Operation: 29-3=26, Resulting Numbers: [31, 26]
Generated Node #0,2,1: 63:[31, 26] Operation: 29-3=26
Exploring Operation: 31+3=34, Resulting Numbers: [29, 34]
Generated Node #0,2,2: 63:[29, 34] Operation: 31+3=34
Exploring Operation: 31-3=28, Resulting Numbers: [29, 28]
Generated Node #0,2,3: 63:[29, 28] Operation: 31-3=28
Exploring Operation: 31-29=2, Resulting Numbers: [3, 2]
Generated Node #0,2,4: 63:[3, 2] Operation: 31-29=2
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 63:[3, 2], Operations: ['78/26=3', '31-29=2']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,63 unequal: No Solution
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,63 unequal: No Solution
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 63:[3, 60], Operations: ['78/26=3', '31+29=60']
Exploring Operation: 60/3=20, Resulting Numbers: [20]
20,63 unequal: No Solution
Exploring Operation: 3+60=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[78, 31, 29, 26], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [31, 29, 3]
Generated Node #0,2: 63:[31, 29, 3] Operation: 78/26=3
Moving to Node #0,2
Current State: 63:[31, 29, 3], Operations: ['78/26=3']
Exploring Operation: 31+29=60, Resulting Numbers: [3, 60]
Generated Node #0,2,0: 63:[3, 60] Operation: 31+29=60
Moving to Node #0,2,0
Current State: 63:[3, 60], Operations: ['78/26=3', '31+29=60']
Exploring Operation: 3+60=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_5 | sum_heuristic |
[
44,
2,
23,
16
] | 75 | [
"44+23=67",
"16/2=8",
"67+8=75"
] | Current State: 75:[44, 2, 23, 16], Operations: []
Exploring Operation: 44+23=67, Resulting Numbers: [2, 16, 67]
Generated Node #2: [2, 16, 67] from Operation: 44+23=67
Current State: 75:[2, 16, 67], Operations: ['44+23=67']
Exploring Operation: 16/2=8, Resulting Numbers: [67, 8]
Generated Node #3: [67, 8] from Operation: 16/2=8
Current State: 75:[67, 8], Operations: ['44+23=67', '16/2=8']
Exploring Operation: 67+8=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[44, 2, 23, 16], Operations: []
Exploring Operation: 44-16=28, Resulting Numbers: [2, 23, 28]
Generated Node #0,0: 75:[2, 23, 28] Operation: 44-16=28
Exploring Operation: 44/2=22, Resulting Numbers: [23, 16, 22]
Generated Node #0,1: 75:[23, 16, 22] Operation: 44/2=22
Exploring Operation: 44+23=67, Resulting Numbers: [2, 16, 67]
Generated Node #0,2: 75:[2, 16, 67] Operation: 44+23=67
Exploring Operation: 44-23=21, Resulting Numbers: [2, 16, 21]
Generated Node #0,3: 75:[2, 16, 21] Operation: 44-23=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[2, 23, 28], Operations: ['44-16=28']
Exploring Operation: 2+23=25, Resulting Numbers: [28, 25]
Generated Node #0,0,0: 75:[28, 25] Operation: 2+23=25
Exploring Operation: 28-2=26, Resulting Numbers: [23, 26]
Generated Node #0,0,1: 75:[23, 26] Operation: 28-2=26
Exploring Operation: 28/2=14, Resulting Numbers: [23, 14]
Generated Node #0,0,2: 75:[23, 14] Operation: 28/2=14
Exploring Operation: 28-23=5, Resulting Numbers: [2, 5]
Generated Node #0,0,3: 75:[2, 5] Operation: 28-23=5
Moving to Node #0,0,3
Current State: 75:[2, 5], Operations: ['44-16=28', '28-23=5']
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,75 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,75 unequal: No Solution
Moving to Node #0,0,1
Current State: 75:[23, 26], Operations: ['44-16=28', '28-2=26']
Exploring Operation: 23+26=49, Resulting Numbers: [49]
49,75 unequal: No Solution
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Exploring Operation: 23*26=598, Resulting Numbers: [598]
598,75 unequal: No Solution
Moving to Node #0,0,0
Current State: 75:[28, 25], Operations: ['44-16=28', '2+23=25']
Exploring Operation: 28*25=700, Resulting Numbers: [700]
700,75 unequal: No Solution
Exploring Operation: 28-25=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Exploring Operation: 28+25=53, Resulting Numbers: [53]
53,75 unequal: No Solution
Moving to Node #0,0,2
Current State: 75:[23, 14], Operations: ['44-16=28', '28/2=14']
Exploring Operation: 23+14=37, Resulting Numbers: [37]
37,75 unequal: No Solution
Exploring Operation: 23-14=9, Resulting Numbers: [9]
9,75 unequal: No Solution
Exploring Operation: 23*14=322, Resulting Numbers: [322]
322,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[23, 16, 22], Operations: ['44/2=22']
Exploring Operation: 23-22=1, Resulting Numbers: [16, 1]
Generated Node #0,1,0: 75:[16, 1] Operation: 23-22=1
Exploring Operation: 22-16=6, Resulting Numbers: [23, 6]
Generated Node #0,1,1: 75:[23, 6] Operation: 22-16=6
Exploring Operation: 23-16=7, Resulting Numbers: [22, 7]
Generated Node #0,1,2: 75:[22, 7] Operation: 23-16=7
Exploring Operation: 16+22=38, Resulting Numbers: [23, 38]
Generated Node #0,1,3: 75:[23, 38] Operation: 16+22=38
Moving to Node #0,1,0
Current State: 75:[16, 1], Operations: ['44/2=22', '23-22=1']
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,75 unequal: No Solution
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,75 unequal: No Solution
Exploring Operation: 16*1=16, Resulting Numbers: [16]
16,75 unequal: No Solution
Exploring Operation: 16+1=17, Resulting Numbers: [17]
17,75 unequal: No Solution
Moving to Node #0,1,1
Current State: 75:[23, 6], Operations: ['44/2=22', '22-16=6']
Exploring Operation: 23*6=138, Resulting Numbers: [138]
138,75 unequal: No Solution
Exploring Operation: 23+6=29, Resulting Numbers: [29]
29,75 unequal: No Solution
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,75 unequal: No Solution
Moving to Node #0,1,2
Current State: 75:[22, 7], Operations: ['44/2=22', '23-16=7']
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,75 unequal: No Solution
Exploring Operation: 22+7=29, Resulting Numbers: [29]
29,75 unequal: No Solution
Exploring Operation: 22*7=154, Resulting Numbers: [154]
154,75 unequal: No Solution
Moving to Node #0,1,3
Current State: 75:[23, 38], Operations: ['44/2=22', '16+22=38']
Exploring Operation: 23*38=874, Resulting Numbers: [874]
874,75 unequal: No Solution
Exploring Operation: 38-23=15, Resulting Numbers: [15]
15,75 unequal: No Solution
Exploring Operation: 23+38=61, Resulting Numbers: [61]
61,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 75:[2, 16, 21], Operations: ['44-23=21']
Exploring Operation: 21-2=19, Resulting Numbers: [16, 19]
Generated Node #0,3,0: 75:[16, 19] Operation: 21-2=19
Exploring Operation: 21-16=5, Resulting Numbers: [2, 5]
Generated Node #0,3,1: 75:[2, 5] Operation: 21-16=5
Exploring Operation: 16-2=14, Resulting Numbers: [21, 14]
Generated Node #0,3,2: 75:[21, 14] Operation: 16-2=14
Exploring Operation: 2+21=23, Resulting Numbers: [16, 23]
Generated Node #0,3,3: 75:[16, 23] Operation: 2+21=23
Moving to Node #0,3,1
Current State: 75:[2, 5], Operations: ['44-23=21', '21-16=5']
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,75 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,75 unequal: No Solution
Moving to Node #0,3,3
Current State: 75:[16, 23], Operations: ['44-23=21', '2+21=23']
Exploring Operation: 16+23=39, Resulting Numbers: [39]
39,75 unequal: No Solution
Exploring Operation: 16*23=368, Resulting Numbers: [368]
368,75 unequal: No Solution
Exploring Operation: 23-16=7, Resulting Numbers: [7]
7,75 unequal: No Solution
Moving to Node #0,3,2
Current State: 75:[21, 14], Operations: ['44-23=21', '16-2=14']
Exploring Operation: 21-14=7, Resulting Numbers: [7]
7,75 unequal: No Solution
Exploring Operation: 21*14=294, Resulting Numbers: [294]
294,75 unequal: No Solution
Exploring Operation: 21+14=35, Resulting Numbers: [35]
35,75 unequal: No Solution
Moving to Node #0,3,0
Current State: 75:[16, 19], Operations: ['44-23=21', '21-2=19']
Exploring Operation: 16*19=304, Resulting Numbers: [304]
304,75 unequal: No Solution
Exploring Operation: 16+19=35, Resulting Numbers: [35]
35,75 unequal: No Solution
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[2, 16, 67], Operations: ['44+23=67']
Exploring Operation: 2+67=69, Resulting Numbers: [16, 69]
Generated Node #0,2,0: 75:[16, 69] Operation: 2+67=69
Exploring Operation: 2+16=18, Resulting Numbers: [67, 18]
Generated Node #0,2,1: 75:[67, 18] Operation: 2+16=18
Exploring Operation: 16-2=14, Resulting Numbers: [67, 14]
Generated Node #0,2,2: 75:[67, 14] Operation: 16-2=14
Exploring Operation: 16+67=83, Resulting Numbers: [2, 83]
Generated Node #0,2,3: 75:[2, 83] Operation: 16+67=83
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 75:[16, 69], Operations: ['44+23=67', '2+67=69']
Exploring Operation: 16*69=1104, Resulting Numbers: [1104]
1104,75 unequal: No Solution
Exploring Operation: 69-16=53, Resulting Numbers: [53]
53,75 unequal: No Solution
Exploring Operation: 16+69=85, Resulting Numbers: [85]
85,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 75:[67, 14], Operations: ['44+23=67', '16-2=14']
Exploring Operation: 67+14=81, Resulting Numbers: [81]
81,75 unequal: No Solution
Exploring Operation: 67*14=938, Resulting Numbers: [938]
938,75 unequal: No Solution
Exploring Operation: 67-14=53, Resulting Numbers: [53]
53,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 75:[2, 83], Operations: ['44+23=67', '16+67=83']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,75 unequal: No Solution
Exploring Operation: 2*83=166, Resulting Numbers: [166]
166,75 unequal: No Solution
Exploring Operation: 2+83=85, Resulting Numbers: [85]
85,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 75:[67, 18], Operations: ['44+23=67', '2+16=18']
Exploring Operation: 67*18=1206, Resulting Numbers: [1206]
1206,75 unequal: No Solution
Exploring Operation: 67+18=85, Resulting Numbers: [85]
85,75 unequal: No Solution
Exploring Operation: 67-18=49, Resulting Numbers: [49]
49,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
11,
39,
14,
47
] | 36 | [
"47-14=33",
"33/11=3",
"39-3=36"
] | Current State: 36:[11, 39, 14, 47], Operations: []
Exploring Operation: 47-14=33, Resulting Numbers: [11, 39, 33]
Generated Node #2: [11, 39, 33] from Operation: 47-14=33
Current State: 36:[11, 39, 33], Operations: ['47-14=33']
Exploring Operation: 33/11=3, Resulting Numbers: [39, 3]
Generated Node #3: [39, 3] from Operation: 33/11=3
Current State: 36:[39, 3], Operations: ['47-14=33', '33/11=3']
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[11, 39, 14, 47], Operations: []
Exploring Operation: 47-39=8, Resulting Numbers: [11, 14, 8]
Generated Node #0,0: 36:[11, 14, 8] Operation: 47-39=8
Moving to Node #0,0
Current State: 36:[11, 14, 8], Operations: ['47-39=8']
Exploring Operation: 14-11=3, Resulting Numbers: [8, 3]
Generated Node #0,0,0: 36:[8, 3] Operation: 14-11=3
Moving to Node #0,0,0
Current State: 36:[8, 3], Operations: ['47-39=8', '14-11=3']
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,36 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
25,
68,
3,
9
] | 21 | [
"25*9=225",
"68*3=204",
"225-204=21"
] | Current State: 21:[25, 68, 3, 9], Operations: []
Exploring Operation: 25*9=225, Resulting Numbers: [68, 3, 225]
Generated Node #2: [68, 3, 225] from Operation: 25*9=225
Current State: 21:[68, 3, 225], Operations: ['25*9=225']
Exploring Operation: 68*3=204, Resulting Numbers: [225, 204]
Generated Node #3: [225, 204] from Operation: 68*3=204
Current State: 21:[225, 204], Operations: ['25*9=225', '68*3=204']
Exploring Operation: 225-204=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[25, 68, 3, 9], Operations: []
Exploring Operation: 68-25=43, Resulting Numbers: [3, 9, 43]
Generated Node #0,0: 21:[3, 9, 43] Operation: 68-25=43
Moving to Node #0,0
Current State: 21:[3, 9, 43], Operations: ['68-25=43']
Exploring Operation: 43-9=34, Resulting Numbers: [3, 34]
Generated Node #0,0,0: 21:[3, 34] Operation: 43-9=34
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 21:[3, 34], Operations: ['68-25=43', '43-9=34']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
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