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 |
|---|---|---|---|---|---|---|---|---|
[
57,
57,
55,
91
] | 35 | [
"57/57=1",
"91-55=36",
"36-1=35"
] | Current State: 35:[57, 57, 55, 91], Operations: []
Exploring Operation: 57/57=1, Resulting Numbers: [55, 91, 1]
Generated Node #2: [55, 91, 1] from Operation: 57/57=1
Current State: 35:[55, 91, 1], Operations: ['57/57=1']
Exploring Operation: 91-55=36, Resulting Numbers: [1, 36]
Generated Node #3: [1, 36] from Operation: 91-55=36
Current State: 35:[1, 36], Operations: ['57/57=1', '91-55=36']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[57, 57, 55, 91], Operations: []
Exploring Operation: 91-57=34, Resulting Numbers: [57, 55, 34]
Generated Node #0,0: 35:[57, 55, 34] Operation: 91-57=34
Moving to Node #0,0
Current State: 35:[57, 55, 34], Operations: ['91-57=34']
Exploring Operation: 57-55=2, Resulting Numbers: [34, 2]
Generated Node #0,0,0: 35:[34, 2] Operation: 57-55=2
Moving to Node #0,0,0
Current State: 35:[34, 2], Operations: ['91-57=34', '57-55=2']
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,35 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
13,
89,
51,
61
] | 92 | [
"13+89=102",
"61-51=10",
"102-10=92"
] | Current State: 92:[13, 89, 51, 61], Operations: []
Exploring Operation: 13+89=102, Resulting Numbers: [51, 61, 102]
Generated Node #2: [51, 61, 102] from Operation: 13+89=102
Current State: 92:[51, 61, 102], Operations: ['13+89=102']
Exploring Operation: 61-51=10, Resulting Numbers: [102, 10]
Generated Node #3: [102, 10] from Operation: 61-51=10
Current State: 92:[102, 10], Operations: ['13+89=102', '61-51=10']
Exploring Operation: 102-10=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[13, 89, 51, 61], Operations: []
Exploring Operation: 89-61=28, Resulting Numbers: [13, 51, 28]
Generated Node #0,0: 92:[13, 51, 28] Operation: 89-61=28
Exploring Operation: 61-13=48, Resulting Numbers: [89, 51, 48]
Generated Node #0,1: 92:[89, 51, 48] Operation: 61-13=48
Exploring Operation: 61-51=10, Resulting Numbers: [13, 89, 10]
Generated Node #0,2: 92:[13, 89, 10] Operation: 61-51=10
Moving to Node #0,1
Current State: 92:[89, 51, 48], Operations: ['61-13=48']
Exploring Operation: 51-48=3, Resulting Numbers: [89, 3]
Generated Node #0,1,0: 92:[89, 3] Operation: 51-48=3
Exploring Operation: 89-48=41, Resulting Numbers: [51, 41]
Generated Node #0,1,1: 92:[51, 41] Operation: 89-48=41
Exploring Operation: 89-51=38, Resulting Numbers: [48, 38]
Generated Node #0,1,2: 92:[48, 38] Operation: 89-51=38
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 92:[89, 3], Operations: ['61-13=48', '51-48=3']
Exploring Operation: 89*3=267, Resulting Numbers: [267]
267,92 unequal: No Solution
Exploring Operation: 89+3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[13, 89, 51, 61], Operations: []
Exploring Operation: 61-13=48, Resulting Numbers: [89, 51, 48]
Generated Node #0,1: 92:[89, 51, 48] Operation: 61-13=48
Moving to Node #0,1
Current State: 92:[89, 51, 48], Operations: ['61-13=48']
Exploring Operation: 51-48=3, Resulting Numbers: [89, 3]
Generated Node #0,1,0: 92:[89, 3] Operation: 51-48=3
Moving to Node #0,1,0
Current State: 92:[89, 3], Operations: ['61-13=48', '51-48=3']
Exploring Operation: 89+3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
82,
48,
19,
31
] | 74 | [
"48*31=1488",
"1488-82=1406",
"1406/19=74"
] | Current State: 74:[82, 48, 19, 31], Operations: []
Exploring Operation: 48*31=1488, Resulting Numbers: [82, 19, 1488]
Generated Node #2: [82, 19, 1488] from Operation: 48*31=1488
Current State: 74:[82, 19, 1488], Operations: ['48*31=1488']
Exploring Operation: 1488-82=1406, Resulting Numbers: [19, 1406]
Generated Node #3: [19, 1406] from Operation: 1488-82=1406
Current State: 74:[19, 1406], Operations: ['48*31=1488', '1488-82=1406']
Exploring Operation: 1406/19=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[82, 48, 19, 31], Operations: []
Exploring Operation: 82-48=34, Resulting Numbers: [19, 31, 34]
Generated Node #0,0: 74:[19, 31, 34] Operation: 82-48=34
Exploring Operation: 48+19=67, Resulting Numbers: [82, 31, 67]
Generated Node #0,1: 74:[82, 31, 67] Operation: 48+19=67
Exploring Operation: 48-19=29, Resulting Numbers: [82, 31, 29]
Generated Node #0,2: 74:[82, 31, 29] Operation: 48-19=29
Moving to Node #0,1
Current State: 74:[82, 31, 67], Operations: ['48+19=67']
Exploring Operation: 82-31=51, Resulting Numbers: [67, 51]
Generated Node #0,1,0: 74:[67, 51] Operation: 82-31=51
Exploring Operation: 67-31=36, Resulting Numbers: [82, 36]
Generated Node #0,1,1: 74:[82, 36] Operation: 67-31=36
Exploring Operation: 82-67=15, Resulting Numbers: [31, 15]
Generated Node #0,1,2: 74:[31, 15] Operation: 82-67=15
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 74:[82, 36], Operations: ['48+19=67', '67-31=36']
Exploring Operation: 82*36=2952, Resulting Numbers: [2952]
2952,74 unequal: No Solution
Exploring Operation: 82-36=46, Resulting Numbers: [46]
46,74 unequal: No Solution
Exploring Operation: 82+36=118, Resulting Numbers: [118]
118,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 74:[31, 15], Operations: ['48+19=67', '82-67=15']
Exploring Operation: 31+15=46, Resulting Numbers: [46]
46,74 unequal: No Solution
Exploring Operation: 31-15=16, Resulting Numbers: [16]
16,74 unequal: No Solution
Exploring Operation: 31*15=465, Resulting Numbers: [465]
465,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 74:[67, 51], Operations: ['48+19=67', '82-31=51']
Exploring Operation: 67*51=3417, Resulting Numbers: [3417]
3417,74 unequal: No Solution
Exploring Operation: 67-51=16, Resulting Numbers: [16]
16,74 unequal: No Solution
Exploring Operation: 67+51=118, Resulting Numbers: [118]
118,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 74:[82, 31, 29], Operations: ['48-19=29']
Exploring Operation: 82-31=51, Resulting Numbers: [29, 51]
Generated Node #0,2,0: 74:[29, 51] Operation: 82-31=51
Exploring Operation: 82-29=53, Resulting Numbers: [31, 53]
Generated Node #0,2,1: 74:[31, 53] Operation: 82-29=53
Exploring Operation: 31-29=2, Resulting Numbers: [82, 2]
Generated Node #0,2,2: 74:[82, 2] Operation: 31-29=2
Moving to Node #0,0
Current State: 74:[19, 31, 34], Operations: ['82-48=34']
Exploring Operation: 31-19=12, Resulting Numbers: [34, 12]
Generated Node #0,0,0: 74:[34, 12] Operation: 31-19=12
Exploring Operation: 34-31=3, Resulting Numbers: [19, 3]
Generated Node #0,0,1: 74:[19, 3] Operation: 34-31=3
Exploring Operation: 19+31=50, Resulting Numbers: [34, 50]
Generated Node #0,0,2: 74:[34, 50] Operation: 19+31=50
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 74:[34, 12], Operations: ['82-48=34', '31-19=12']
Exploring Operation: 34+12=46, Resulting Numbers: [46]
46,74 unequal: No Solution
Exploring Operation: 34-12=22, Resulting Numbers: [22]
22,74 unequal: No Solution
Exploring Operation: 34*12=408, Resulting Numbers: [408]
408,74 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 #0,0,2
Current State: 74:[34, 50], Operations: ['82-48=34', '19+31=50']
Exploring Operation: 50-34=16, Resulting Numbers: [16]
16,74 unequal: No Solution
Exploring Operation: 34*50=1700, Resulting Numbers: [1700]
1700,74 unequal: No Solution
Exploring Operation: 34+50=84, Resulting Numbers: [84]
84,74 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 #0,0,1
Current State: 74:[19, 3], Operations: ['82-48=34', '34-31=3']
Exploring Operation: 19+3=22, Resulting Numbers: [22]
22,74 unequal: No Solution
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,74 unequal: No Solution
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 74:[82, 2], Operations: ['48-19=29', '31-29=2']
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,74 unequal: No Solution
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,74 unequal: No Solution
Exploring Operation: 82+2=84, Resulting Numbers: [84]
84,74 unequal: No Solution
Moving to Node #0,2,0
Current State: 74:[29, 51], Operations: ['48-19=29', '82-31=51']
Exploring Operation: 51-29=22, Resulting Numbers: [22]
22,74 unequal: No Solution
Exploring Operation: 29*51=1479, Resulting Numbers: [1479]
1479,74 unequal: No Solution
Exploring Operation: 29+51=80, Resulting Numbers: [80]
80,74 unequal: No Solution
Moving to Node #0,2,1
Current State: 74:[31, 53], Operations: ['48-19=29', '82-29=53']
Exploring Operation: 31*53=1643, Resulting Numbers: [1643]
1643,74 unequal: No Solution
Exploring Operation: 53-31=22, Resulting Numbers: [22]
22,74 unequal: No Solution
Exploring Operation: 31+53=84, Resulting Numbers: [84]
84,74 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
62,
22,
70,
2
] | 49 | [
"62+22=84",
"70/2=35",
"84-35=49"
] | Current State: 49:[62, 22, 70, 2], Operations: []
Exploring Operation: 62+22=84, Resulting Numbers: [70, 2, 84]
Generated Node #2: [70, 2, 84] from Operation: 62+22=84
Current State: 49:[70, 2, 84], Operations: ['62+22=84']
Exploring Operation: 70/2=35, Resulting Numbers: [84, 35]
Generated Node #3: [84, 35] from Operation: 70/2=35
Current State: 49:[84, 35], Operations: ['62+22=84', '70/2=35']
Exploring Operation: 84-35=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[62, 22, 70, 2], Operations: []
Exploring Operation: 70-22=48, Resulting Numbers: [62, 2, 48]
Generated Node #0,0: 49:[62, 2, 48] Operation: 70-22=48
Moving to Node #0,0
Current State: 49:[62, 2, 48], Operations: ['70-22=48']
Exploring Operation: 62-2=60, Resulting Numbers: [48, 60]
Generated Node #0,0,0: 49:[48, 60] Operation: 62-2=60
Moving to Node #0,0,0
Current State: 49:[48, 60], Operations: ['70-22=48', '62-2=60']
Exploring Operation: 60-48=12, Resulting Numbers: [12]
12,49 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
50,
28,
4,
64
] | 59 | [
"64-28=36",
"36/4=9",
"50+9=59"
] | Current State: 59:[50, 28, 4, 64], Operations: []
Exploring Operation: 64-28=36, Resulting Numbers: [50, 4, 36]
Generated Node #2: [50, 4, 36] from Operation: 64-28=36
Current State: 59:[50, 4, 36], Operations: ['64-28=36']
Exploring Operation: 36/4=9, Resulting Numbers: [50, 9]
Generated Node #3: [50, 9] from Operation: 36/4=9
Current State: 59:[50, 9], Operations: ['64-28=36', '36/4=9']
Exploring Operation: 50+9=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[50, 28, 4, 64], Operations: []
Exploring Operation: 50+4=54, Resulting Numbers: [28, 64, 54]
Generated Node #0,0: 59:[28, 64, 54] Operation: 50+4=54
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[28, 64, 54], Operations: ['50+4=54']
Exploring Operation: 64-28=36, Resulting Numbers: [54, 36]
Generated Node #0,0,0: 59:[54, 36] Operation: 64-28=36
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 59:[54, 36], Operations: ['50+4=54', '64-28=36']
Exploring Operation: 54+36=90, Resulting Numbers: [90]
90,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
59,
50,
2,
36
] | 91 | [
"59+50=109",
"36/2=18",
"109-18=91"
] | Current State: 91:[59, 50, 2, 36], Operations: []
Exploring Operation: 59+50=109, Resulting Numbers: [2, 36, 109]
Generated Node #2: [2, 36, 109] from Operation: 59+50=109
Current State: 91:[2, 36, 109], Operations: ['59+50=109']
Exploring Operation: 36/2=18, Resulting Numbers: [109, 18]
Generated Node #3: [109, 18] from Operation: 36/2=18
Current State: 91:[109, 18], Operations: ['59+50=109', '36/2=18']
Exploring Operation: 109-18=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[59, 50, 2, 36], Operations: []
Exploring Operation: 59+50=109, Resulting Numbers: [2, 36, 109]
Generated Node #0,0: 91:[2, 36, 109] Operation: 59+50=109
Exploring Operation: 50+36=86, Resulting Numbers: [59, 2, 86]
Generated Node #0,1: 91:[59, 2, 86] Operation: 50+36=86
Exploring Operation: 50-36=14, Resulting Numbers: [59, 2, 14]
Generated Node #0,2: 91:[59, 2, 14] Operation: 50-36=14
Exploring Operation: 59-50=9, Resulting Numbers: [2, 36, 9]
Generated Node #0,3: 91:[2, 36, 9] Operation: 59-50=9
Moving to Node #0,3
Current State: 91:[2, 36, 9], Operations: ['59-50=9']
Exploring Operation: 36/2=18, Resulting Numbers: [9, 18]
Generated Node #0,3,0: 91:[9, 18] Operation: 36/2=18
Exploring Operation: 2*36=72, Resulting Numbers: [9, 72]
Generated Node #0,3,1: 91:[9, 72] Operation: 2*36=72
Exploring Operation: 36-9=27, Resulting Numbers: [2, 27]
Generated Node #0,3,2: 91:[2, 27] Operation: 36-9=27
Exploring Operation: 36/9=4, Resulting Numbers: [2, 4]
Generated Node #0,3,3: 91:[2, 4] Operation: 36/9=4
Moving to Node #0,2
Current State: 91:[59, 2, 14], Operations: ['50-36=14']
Exploring Operation: 14/2=7, Resulting Numbers: [59, 7]
Generated Node #0,2,0: 91:[59, 7] Operation: 14/2=7
Exploring Operation: 59+14=73, Resulting Numbers: [2, 73]
Generated Node #0,2,1: 91:[2, 73] Operation: 59+14=73
Exploring Operation: 59*2=118, Resulting Numbers: [14, 118]
Generated Node #0,2,2: 91:[14, 118] Operation: 59*2=118
Exploring Operation: 59+2=61, Resulting Numbers: [14, 61]
Generated Node #0,2,3: 91:[14, 61] Operation: 59+2=61
Moving to Node #0,1
Current State: 91:[59, 2, 86], Operations: ['50+36=86']
Exploring Operation: 59+2=61, Resulting Numbers: [86, 61]
Generated Node #0,1,0: 91:[86, 61] Operation: 59+2=61
Exploring Operation: 59*2=118, Resulting Numbers: [86, 118]
Generated Node #0,1,1: 91:[86, 118] Operation: 59*2=118
Exploring Operation: 86-59=27, Resulting Numbers: [2, 27]
Generated Node #0,1,2: 91:[2, 27] Operation: 86-59=27
Exploring Operation: 2+86=88, Resulting Numbers: [59, 88]
Generated Node #0,1,3: 91:[59, 88] Operation: 2+86=88
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 91:[2, 27], Operations: ['50+36=86', '86-59=27']
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,91 unequal: No Solution
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,91 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 91:[86, 118], Operations: ['50+36=86', '59*2=118']
Exploring Operation: 118-86=32, Resulting Numbers: [32]
32,91 unequal: No Solution
Exploring Operation: 86+118=204, Resulting Numbers: [204]
204,91 unequal: No Solution
Exploring Operation: 86*118=10148, Resulting Numbers: [10148]
10148,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 91:[86, 61], Operations: ['50+36=86', '59+2=61']
Exploring Operation: 86*61=5246, Resulting Numbers: [5246]
5246,91 unequal: No Solution
Exploring Operation: 86+61=147, Resulting Numbers: [147]
147,91 unequal: No Solution
Exploring Operation: 86-61=25, Resulting Numbers: [25]
25,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 91:[59, 88], Operations: ['50+36=86', '2+86=88']
Exploring Operation: 59+88=147, Resulting Numbers: [147]
147,91 unequal: No Solution
Exploring Operation: 88-59=29, Resulting Numbers: [29]
29,91 unequal: No Solution
Exploring Operation: 59*88=5192, Resulting Numbers: [5192]
5192,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 91:[2, 36, 109], Operations: ['59+50=109']
Exploring Operation: 36-2=34, Resulting Numbers: [109, 34]
Generated Node #0,0,0: 91:[109, 34] Operation: 36-2=34
Exploring Operation: 36/2=18, Resulting Numbers: [109, 18]
Generated Node #0,0,1: 91:[109, 18] Operation: 36/2=18
Exploring Operation: 2*36=72, Resulting Numbers: [109, 72]
Generated Node #0,0,2: 91:[109, 72] Operation: 2*36=72
Exploring Operation: 109-36=73, Resulting Numbers: [2, 73]
Generated Node #0,0,3: 91:[2, 73] Operation: 109-36=73
Moving to Node #0,3,0
Current State: 91:[9, 18], Operations: ['59-50=9', '36/2=18']
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,91 unequal: No Solution
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,91 unequal: No Solution
Exploring Operation: 9+18=27, Resulting Numbers: [27]
27,91 unequal: No Solution
Exploring Operation: 9*18=162, Resulting Numbers: [162]
162,91 unequal: No Solution
Moving to Node #0,3,3
Current State: 91:[2, 4], Operations: ['59-50=9', '36/9=4']
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,91 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,91 unequal: No Solution
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,91 unequal: No Solution
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,91 unequal: No Solution
Moving to Node #0,3,2
Current State: 91:[2, 27], Operations: ['59-50=9', '36-9=27']
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,91 unequal: No Solution
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,91 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,91 unequal: No Solution
Moving to Node #0,3,1
Current State: 91:[9, 72], Operations: ['59-50=9', '2*36=72']
Exploring Operation: 9*72=648, Resulting Numbers: [648]
648,91 unequal: No Solution
Exploring Operation: 72/9=8, Resulting Numbers: [8]
8,91 unequal: No Solution
Exploring Operation: 9+72=81, Resulting Numbers: [81]
81,91 unequal: No Solution
Exploring Operation: 72-9=63, Resulting Numbers: [63]
63,91 unequal: No Solution
Moving to Node #0,2,1
Current State: 91:[2, 73], Operations: ['50-36=14', '59+14=73']
Exploring Operation: 2+73=75, Resulting Numbers: [75]
75,91 unequal: No Solution
Exploring Operation: 73-2=71, Resulting Numbers: [71]
71,91 unequal: No Solution
Exploring Operation: 2*73=146, Resulting Numbers: [146]
146,91 unequal: No Solution
Moving to Node #0,0,3
Current State: 91:[2, 73], Operations: ['59+50=109', '109-36=73']
Exploring Operation: 73-2=71, Resulting Numbers: [71]
71,91 unequal: No Solution
Exploring Operation: 2+73=75, Resulting Numbers: [75]
75,91 unequal: No Solution
Exploring Operation: 2*73=146, Resulting Numbers: [146]
146,91 unequal: No Solution
Moving to Node #0,0,1
Current State: 91:[109, 18], Operations: ['59+50=109', '36/2=18']
Exploring Operation: 109+18=127, Resulting Numbers: [127]
127,91 unequal: No Solution
Exploring Operation: 109*18=1962, Resulting Numbers: [1962]
1962,91 unequal: No Solution
Exploring Operation: 109-18=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[59, 50, 2, 36], Operations: []
Exploring Operation: 59+50=109, Resulting Numbers: [2, 36, 109]
Generated Node #0,0: 91:[2, 36, 109] Operation: 59+50=109
Moving to Node #0,0
Current State: 91:[2, 36, 109], Operations: ['59+50=109']
Exploring Operation: 36/2=18, Resulting Numbers: [109, 18]
Generated Node #0,0,1: 91:[109, 18] Operation: 36/2=18
Moving to Node #0,0,1
Current State: 91:[109, 18], Operations: ['59+50=109', '36/2=18']
Exploring Operation: 109-18=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 0.947917 | hs_4 | mult_heuristic |
[
98,
66,
72,
6
] | 34 | [
"98-66=32",
"72-6=66",
"66-32=34"
] | Current State: 34:[98, 66, 72, 6], Operations: []
Exploring Operation: 98-66=32, Resulting Numbers: [72, 6, 32]
Generated Node #2: [72, 6, 32] from Operation: 98-66=32
Current State: 34:[72, 6, 32], Operations: ['98-66=32']
Exploring Operation: 72-6=66, Resulting Numbers: [32, 66]
Generated Node #3: [32, 66] from Operation: 72-6=66
Current State: 34:[32, 66], Operations: ['98-66=32', '72-6=66']
Exploring Operation: 66-32=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[98, 66, 72, 6], Operations: []
Exploring Operation: 72/6=12, Resulting Numbers: [98, 66, 12]
Generated Node #0,0: 34:[98, 66, 12] Operation: 72/6=12
Exploring Operation: 98-66=32, Resulting Numbers: [72, 6, 32]
Generated Node #0,1: 34:[72, 6, 32] Operation: 98-66=32
Exploring Operation: 72-66=6, Resulting Numbers: [98, 6, 6]
Generated Node #0,2: 34:[98, 6, 6] Operation: 72-66=6
Exploring Operation: 98-72=26, Resulting Numbers: [66, 6, 26]
Generated Node #0,3: 34:[66, 6, 26] Operation: 98-72=26
Start Sub Search at level 1: Moving to Node #0,1
Current State: 34:[72, 6, 32], Operations: ['98-66=32']
Exploring Operation: 72-32=40, Resulting Numbers: [6, 40]
Generated Node #0,1,0: 34:[6, 40] Operation: 72-32=40
Exploring Operation: 72-6=66, Resulting Numbers: [32, 66]
Generated Node #0,1,1: 34:[32, 66] Operation: 72-6=66
Exploring Operation: 6+32=38, Resulting Numbers: [72, 38]
Generated Node #0,1,2: 34:[72, 38] Operation: 6+32=38
Exploring Operation: 72/6=12, Resulting Numbers: [32, 12]
Generated Node #0,1,3: 34:[32, 12] Operation: 72/6=12
Moving to Node #0,1,3
Current State: 34:[32, 12], Operations: ['98-66=32', '72/6=12']
Exploring Operation: 32*12=384, Resulting Numbers: [384]
384,34 unequal: No Solution
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,34 unequal: No Solution
Exploring Operation: 32+12=44, Resulting Numbers: [44]
44,34 unequal: No Solution
Moving to Node #0,1,0
Current State: 34:[6, 40], Operations: ['98-66=32', '72-32=40']
Exploring Operation: 6*40=240, Resulting Numbers: [240]
240,34 unequal: No Solution
Exploring Operation: 6+40=46, Resulting Numbers: [46]
46,34 unequal: No Solution
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[98, 66, 72, 6], Operations: []
Exploring Operation: 98-66=32, Resulting Numbers: [72, 6, 32]
Generated Node #0,1: 34:[72, 6, 32] Operation: 98-66=32
Moving to Node #0,1
Current State: 34:[72, 6, 32], Operations: ['98-66=32']
Exploring Operation: 72-32=40, Resulting Numbers: [6, 40]
Generated Node #0,1,0: 34:[6, 40] Operation: 72-32=40
Moving to Node #0,1,0
Current State: 34:[6, 40], Operations: ['98-66=32', '72-32=40']
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | mult_heuristic |
[
13,
34,
26,
43
] | 52 | [
"26/13=2",
"43*2=86",
"86-34=52"
] | Current State: 52:[13, 34, 26, 43], Operations: []
Exploring Operation: 26/13=2, Resulting Numbers: [34, 43, 2]
Generated Node #2: [34, 43, 2] from Operation: 26/13=2
Current State: 52:[34, 43, 2], Operations: ['26/13=2']
Exploring Operation: 43*2=86, Resulting Numbers: [34, 86]
Generated Node #3: [34, 86] from Operation: 43*2=86
Current State: 52:[34, 86], Operations: ['26/13=2', '43*2=86']
Exploring Operation: 86-34=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[13, 34, 26, 43], Operations: []
Exploring Operation: 43-34=9, Resulting Numbers: [13, 26, 9]
Generated Node #0,0: 52:[13, 26, 9] Operation: 43-34=9
Moving to Node #0,0
Current State: 52:[13, 26, 9], Operations: ['43-34=9']
Exploring Operation: 13-9=4, Resulting Numbers: [26, 4]
Generated Node #0,0,0: 52:[26, 4] Operation: 13-9=4
Moving to Node #0,0,0
Current State: 52:[26, 4], Operations: ['43-34=9', '13-9=4']
Exploring Operation: 26+4=30, Resulting Numbers: [30]
30,52 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
54,
27,
55,
76
] | 48 | [
"54-27=27",
"76-55=21",
"27+21=48"
] | Current State: 48:[54, 27, 55, 76], Operations: []
Exploring Operation: 54-27=27, Resulting Numbers: [55, 76, 27]
Generated Node #2: [55, 76, 27] from Operation: 54-27=27
Current State: 48:[55, 76, 27], Operations: ['54-27=27']
Exploring Operation: 76-55=21, Resulting Numbers: [27, 21]
Generated Node #3: [27, 21] from Operation: 76-55=21
Current State: 48:[27, 21], Operations: ['54-27=27', '76-55=21']
Exploring Operation: 27+21=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[54, 27, 55, 76], Operations: []
Exploring Operation: 76-54=22, Resulting Numbers: [27, 55, 22]
Generated Node #0,0: 48:[27, 55, 22] Operation: 76-54=22
Exploring Operation: 76-27=49, Resulting Numbers: [54, 55, 49]
Generated Node #0,1: 48:[54, 55, 49] Operation: 76-27=49
Exploring Operation: 55-54=1, Resulting Numbers: [27, 76, 1]
Generated Node #0,2: 48:[27, 76, 1] Operation: 55-54=1
Exploring Operation: 54/27=2, Resulting Numbers: [55, 76, 2]
Generated Node #0,3: 48:[55, 76, 2] Operation: 54/27=2
Exploring Operation: 76-55=21, Resulting Numbers: [54, 27, 21]
Generated Node #0,4: 48:[54, 27, 21] Operation: 76-55=21
Moving to Node #0,0
Current State: 48:[27, 55, 22], Operations: ['76-54=22']
Exploring Operation: 27-22=5, Resulting Numbers: [55, 5]
Generated Node #0,0,0: 48:[55, 5] Operation: 27-22=5
Exploring Operation: 55-27=28, Resulting Numbers: [22, 28]
Generated Node #0,0,1: 48:[22, 28] Operation: 55-27=28
Exploring Operation: 55-22=33, Resulting Numbers: [27, 33]
Generated Node #0,0,2: 48:[27, 33] Operation: 55-22=33
Exploring Operation: 55+22=77, Resulting Numbers: [27, 77]
Generated Node #0,0,3: 48:[27, 77] Operation: 55+22=77
Exploring Operation: 27+22=49, Resulting Numbers: [55, 49]
Generated Node #0,0,4: 48:[55, 49] Operation: 27+22=49
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 48:[22, 28], Operations: ['76-54=22', '55-27=28']
Exploring Operation: 22*28=616, Resulting Numbers: [616]
616,48 unequal: No Solution
Exploring Operation: 28-22=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Exploring Operation: 22+28=50, Resulting Numbers: [50]
50,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 48:[55, 5], Operations: ['76-54=22', '27-22=5']
Exploring Operation: 55*5=275, Resulting Numbers: [275]
275,48 unequal: No Solution
Exploring Operation: 55+5=60, Resulting Numbers: [60]
60,48 unequal: No Solution
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,48 unequal: No Solution
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 48:[55, 49], Operations: ['76-54=22', '27+22=49']
Exploring Operation: 55*49=2695, Resulting Numbers: [2695]
2695,48 unequal: No Solution
Exploring Operation: 55+49=104, Resulting Numbers: [104]
104,48 unequal: No Solution
Exploring Operation: 55-49=6, Resulting Numbers: [6]
6,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 48:[27, 33], Operations: ['76-54=22', '55-22=33']
Exploring Operation: 33-27=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Exploring Operation: 27+33=60, Resulting Numbers: [60]
60,48 unequal: No Solution
Exploring Operation: 27*33=891, Resulting Numbers: [891]
891,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 48:[27, 77], Operations: ['76-54=22', '55+22=77']
Exploring Operation: 27*77=2079, Resulting Numbers: [2079]
2079,48 unequal: No Solution
Exploring Operation: 27+77=104, Resulting Numbers: [104]
104,48 unequal: No Solution
Exploring Operation: 77-27=50, Resulting Numbers: [50]
50,48 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: 48:[54, 27, 21], Operations: ['76-55=21']
Exploring Operation: 54-21=33, Resulting Numbers: [27, 33]
Generated Node #0,4,0: 48:[27, 33] Operation: 54-21=33
Exploring Operation: 27-21=6, Resulting Numbers: [54, 6]
Generated Node #0,4,1: 48:[54, 6] Operation: 27-21=6
Exploring Operation: 27+21=48, Resulting Numbers: [54, 48]
Generated Node #0,4,2: 48:[54, 48] Operation: 27+21=48
Exploring Operation: 54-27=27, Resulting Numbers: [21, 27]
Generated Node #0,4,3: 48:[21, 27] Operation: 54-27=27
Exploring Operation: 54/27=2, Resulting Numbers: [21, 2]
Generated Node #0,4,4: 48:[21, 2] Operation: 54/27=2
Moving to Node #0,1
Current State: 48:[54, 55, 49], Operations: ['76-27=49']
Exploring Operation: 54-49=5, Resulting Numbers: [55, 5]
Generated Node #0,1,0: 48:[55, 5] Operation: 54-49=5
Exploring Operation: 55-49=6, Resulting Numbers: [54, 6]
Generated Node #0,1,1: 48:[54, 6] Operation: 55-49=6
Exploring Operation: 55-54=1, Resulting Numbers: [49, 1]
Generated Node #0,1,2: 48:[49, 1] Operation: 55-54=1
Exploring Operation: 54+55=109, Resulting Numbers: [49, 109]
Generated Node #0,1,3: 48:[49, 109] Operation: 54+55=109
Exploring Operation: 54+49=103, Resulting Numbers: [55, 103]
Generated Node #0,1,4: 48:[55, 103] Operation: 54+49=103
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 48:[49, 1], Operations: ['76-27=49', '55-54=1']
Exploring Operation: 49/1=49, Resulting Numbers: [49]
49,48 unequal: No Solution
Exploring Operation: 49*1=49, Resulting Numbers: [49]
49,48 unequal: No Solution
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[54, 27, 55, 76], Operations: []
Exploring Operation: 76-27=49, Resulting Numbers: [54, 55, 49]
Generated Node #0,1: 48:[54, 55, 49] Operation: 76-27=49
Moving to Node #0,1
Current State: 48:[54, 55, 49], Operations: ['76-27=49']
Exploring Operation: 55-54=1, Resulting Numbers: [49, 1]
Generated Node #0,1,2: 48:[49, 1] Operation: 55-54=1
Moving to Node #0,1,2
Current State: 48:[49, 1], Operations: ['76-27=49', '55-54=1']
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.962674 | hs_5 | mult_heuristic |
[
66,
3,
75,
14
] | 13 | [
"75-66=9",
"3*9=27",
"27-14=13"
] | Current State: 13:[66, 3, 75, 14], Operations: []
Exploring Operation: 75-66=9, Resulting Numbers: [3, 14, 9]
Generated Node #2: [3, 14, 9] from Operation: 75-66=9
Current State: 13:[3, 14, 9], Operations: ['75-66=9']
Exploring Operation: 3*9=27, Resulting Numbers: [14, 27]
Generated Node #3: [14, 27] from Operation: 3*9=27
Current State: 13:[14, 27], Operations: ['75-66=9', '3*9=27']
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[66, 3, 75, 14], Operations: []
Exploring Operation: 66-14=52, Resulting Numbers: [3, 75, 52]
Generated Node #0,0: 13:[3, 75, 52] Operation: 66-14=52
Exploring Operation: 75/3=25, Resulting Numbers: [66, 14, 25]
Generated Node #0,1: 13:[66, 14, 25] Operation: 75/3=25
Exploring Operation: 66/3=22, Resulting Numbers: [75, 14, 22]
Generated Node #0,2: 13:[75, 14, 22] Operation: 66/3=22
Exploring Operation: 75-66=9, Resulting Numbers: [3, 14, 9]
Generated Node #0,3: 13:[3, 14, 9] Operation: 75-66=9
Start Sub Search at level 1: Moving to Node #0,3
Current State: 13:[3, 14, 9], Operations: ['75-66=9']
Exploring Operation: 3+14=17, Resulting Numbers: [9, 17]
Generated Node #0,3,0: 13:[9, 17] Operation: 3+14=17
Exploring Operation: 3+9=12, Resulting Numbers: [14, 12]
Generated Node #0,3,1: 13:[14, 12] Operation: 3+9=12
Exploring Operation: 9-3=6, Resulting Numbers: [14, 6]
Generated Node #0,3,2: 13:[14, 6] Operation: 9-3=6
Exploring Operation: 14-3=11, Resulting Numbers: [9, 11]
Generated Node #0,3,3: 13:[9, 11] Operation: 14-3=11
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 13:[14, 12], Operations: ['75-66=9', '3+9=12']
Exploring Operation: 14+12=26, Resulting Numbers: [26]
26,13 unequal: No Solution
Exploring Operation: 14*12=168, Resulting Numbers: [168]
168,13 unequal: No Solution
Exploring Operation: 14-12=2, Resulting Numbers: [2]
2,13 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 #0,3,3
Current State: 13:[9, 11], Operations: ['75-66=9', '14-3=11']
Exploring Operation: 9+11=20, Resulting Numbers: [20]
20,13 unequal: No Solution
Exploring Operation: 11-9=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Exploring Operation: 9*11=99, Resulting Numbers: [99]
99,13 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 #0,3,0
Current State: 13:[9, 17], Operations: ['75-66=9', '3+14=17']
Exploring Operation: 9*17=153, Resulting Numbers: [153]
153,13 unequal: No Solution
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,13 unequal: No Solution
Exploring Operation: 9+17=26, Resulting Numbers: [26]
26,13 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 #0,3,2
Current State: 13:[14, 6], Operations: ['75-66=9', '9-3=6']
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,13 unequal: No Solution
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,13 unequal: No Solution
Exploring Operation: 14+6=20, Resulting Numbers: [20]
20,13 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:[66, 14, 25], Operations: ['75/3=25']
Exploring Operation: 66-14=52, Resulting Numbers: [25, 52]
Generated Node #0,1,0: 13:[25, 52] Operation: 66-14=52
Exploring Operation: 66+14=80, Resulting Numbers: [25, 80]
Generated Node #0,1,1: 13:[25, 80] Operation: 66+14=80
Exploring Operation: 25-14=11, Resulting Numbers: [66, 11]
Generated Node #0,1,2: 13:[66, 11] Operation: 25-14=11
Exploring Operation: 66-25=41, Resulting Numbers: [14, 41]
Generated Node #0,1,3: 13:[14, 41] Operation: 66-25=41
Moving to Node #0,1,3
Current State: 13:[14, 41], Operations: ['75/3=25', '66-25=41']
Exploring Operation: 41-14=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Exploring Operation: 14+41=55, Resulting Numbers: [55]
55,13 unequal: No Solution
Exploring Operation: 14*41=574, Resulting Numbers: [574]
574,13 unequal: No Solution
Moving to Node #0,1,0
Current State: 13:[25, 52], Operations: ['75/3=25', '66-14=52']
Exploring Operation: 25*52=1300, Resulting Numbers: [1300]
1300,13 unequal: No Solution
Exploring Operation: 25+52=77, Resulting Numbers: [77]
77,13 unequal: No Solution
Exploring Operation: 52-25=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Moving to Node #0,1,2
Current State: 13:[66, 11], Operations: ['75/3=25', '25-14=11']
Exploring Operation: 66*11=726, Resulting Numbers: [726]
726,13 unequal: No Solution
Exploring Operation: 66/11=6, Resulting Numbers: [6]
6,13 unequal: No Solution
Exploring Operation: 66-11=55, Resulting Numbers: [55]
55,13 unequal: No Solution
Exploring Operation: 66+11=77, Resulting Numbers: [77]
77,13 unequal: No Solution
Moving to Node #0,1,1
Current State: 13:[25, 80], Operations: ['75/3=25', '66+14=80']
Exploring Operation: 25+80=105, Resulting Numbers: [105]
105,13 unequal: No Solution
Exploring Operation: 25*80=2000, Resulting Numbers: [2000]
2000,13 unequal: No Solution
Exploring Operation: 80-25=55, Resulting Numbers: [55]
55,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 13:[75, 14, 22], Operations: ['66/3=22']
Exploring Operation: 22-14=8, Resulting Numbers: [75, 8]
Generated Node #0,2,0: 13:[75, 8] Operation: 22-14=8
Exploring Operation: 75-22=53, Resulting Numbers: [14, 53]
Generated Node #0,2,1: 13:[14, 53] Operation: 75-22=53
Exploring Operation: 75+14=89, Resulting Numbers: [22, 89]
Generated Node #0,2,2: 13:[22, 89] Operation: 75+14=89
Exploring Operation: 75-14=61, Resulting Numbers: [22, 61]
Generated Node #0,2,3: 13:[22, 61] Operation: 75-14=61
Moving to Node #0,2,1
Current State: 13:[14, 53], Operations: ['66/3=22', '75-22=53']
Exploring Operation: 14*53=742, Resulting Numbers: [742]
742,13 unequal: No Solution
Exploring Operation: 53-14=39, Resulting Numbers: [39]
39,13 unequal: No Solution
Exploring Operation: 14+53=67, Resulting Numbers: [67]
67,13 unequal: No Solution
Moving to Node #0,2,3
Current State: 13:[22, 61], Operations: ['66/3=22', '75-14=61']
Exploring Operation: 22*61=1342, Resulting Numbers: [1342]
1342,13 unequal: No Solution
Exploring Operation: 61-22=39, Resulting Numbers: [39]
39,13 unequal: No Solution
Exploring Operation: 22+61=83, Resulting Numbers: [83]
83,13 unequal: No Solution
Moving to Node #0,2,0
Current State: 13:[75, 8], Operations: ['66/3=22', '22-14=8']
Exploring Operation: 75*8=600, Resulting Numbers: [600]
600,13 unequal: No Solution
Exploring Operation: 75+8=83, Resulting Numbers: [83]
83,13 unequal: No Solution
Exploring Operation: 75-8=67, Resulting Numbers: [67]
67,13 unequal: No Solution
Moving to Node #0,2,2
Current State: 13:[22, 89], Operations: ['66/3=22', '75+14=89']
Exploring Operation: 22+89=111, Resulting Numbers: [111]
111,13 unequal: No Solution
Exploring Operation: 89-22=67, Resulting Numbers: [67]
67,13 unequal: No Solution
Exploring Operation: 22*89=1958, Resulting Numbers: [1958]
1958,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[3, 75, 52], Operations: ['66-14=52']
Exploring Operation: 52-3=49, Resulting Numbers: [75, 49]
Generated Node #0,0,0: 13:[75, 49] Operation: 52-3=49
Exploring Operation: 75-3=72, Resulting Numbers: [52, 72]
Generated Node #0,0,1: 13:[52, 72] Operation: 75-3=72
Exploring Operation: 75/3=25, Resulting Numbers: [52, 25]
Generated Node #0,0,2: 13:[52, 25] Operation: 75/3=25
Exploring Operation: 75-52=23, Resulting Numbers: [3, 23]
Generated Node #0,0,3: 13:[3, 23] Operation: 75-52=23
Moving to Node #0,0,3
Current State: 13:[3, 23], Operations: ['66-14=52', '75-52=23']
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,13 unequal: No Solution
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,13 unequal: No Solution
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,13 unequal: No Solution
Moving to Node #0,0,2
Current State: 13:[52, 25], Operations: ['66-14=52', '75/3=25']
Exploring Operation: 52-25=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Exploring Operation: 52*25=1300, Resulting Numbers: [1300]
1300,13 unequal: No Solution
Exploring Operation: 52+25=77, Resulting Numbers: [77]
77,13 unequal: No Solution
Moving to Node #0,0,1
Current State: 13:[52, 72], Operations: ['66-14=52', '75-3=72']
Exploring Operation: 52+72=124, Resulting Numbers: [124]
124,13 unequal: No Solution
Exploring Operation: 72-52=20, Resulting Numbers: [20]
20,13 unequal: No Solution
Exploring Operation: 52*72=3744, Resulting Numbers: [3744]
3744,13 unequal: No Solution
Moving to Node #0,0,0
Current State: 13:[75, 49], Operations: ['66-14=52', '52-3=49']
Exploring Operation: 75-49=26, Resulting Numbers: [26]
26,13 unequal: No Solution
Exploring Operation: 75+49=124, Resulting Numbers: [124]
124,13 unequal: No Solution
Exploring Operation: 75*49=3675, Resulting Numbers: [3675]
3675,13 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 |
[
67,
18,
4,
99
] | 94 | [
"67+99=166",
"18*4=72",
"166-72=94"
] | Current State: 94:[67, 18, 4, 99], Operations: []
Exploring Operation: 67+99=166, Resulting Numbers: [18, 4, 166]
Generated Node #2: [18, 4, 166] from Operation: 67+99=166
Current State: 94:[18, 4, 166], Operations: ['67+99=166']
Exploring Operation: 18*4=72, Resulting Numbers: [166, 72]
Generated Node #3: [166, 72] from Operation: 18*4=72
Current State: 94:[166, 72], Operations: ['67+99=166', '18*4=72']
Exploring Operation: 166-72=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[67, 18, 4, 99], Operations: []
Exploring Operation: 67-18=49, Resulting Numbers: [4, 99, 49]
Generated Node #0,0: 94:[4, 99, 49] Operation: 67-18=49
Exploring Operation: 67+18=85, Resulting Numbers: [4, 99, 85]
Generated Node #0,1: 94:[4, 99, 85] Operation: 67+18=85
Exploring Operation: 99-18=81, Resulting Numbers: [67, 4, 81]
Generated Node #0,2: 94:[67, 4, 81] Operation: 99-18=81
Exploring Operation: 99-67=32, Resulting Numbers: [18, 4, 32]
Generated Node #0,3: 94:[18, 4, 32] Operation: 99-67=32
Exploring Operation: 67-4=63, Resulting Numbers: [18, 99, 63]
Generated Node #0,4: 94:[18, 99, 63] Operation: 67-4=63
Moving to Node #0,0
Current State: 94:[4, 99, 49], Operations: ['67-18=49']
Exploring Operation: 4+99=103, Resulting Numbers: [49, 103]
Generated Node #0,0,0: 94:[49, 103] Operation: 4+99=103
Exploring Operation: 4+49=53, Resulting Numbers: [99, 53]
Generated Node #0,0,1: 94:[99, 53] Operation: 4+49=53
Exploring Operation: 49-4=45, Resulting Numbers: [99, 45]
Generated Node #0,0,2: 94:[99, 45] Operation: 49-4=45
Exploring Operation: 99-49=50, Resulting Numbers: [4, 50]
Generated Node #0,0,3: 94:[4, 50] Operation: 99-49=50
Exploring Operation: 99-4=95, Resulting Numbers: [49, 95]
Generated Node #0,0,4: 94:[49, 95] Operation: 99-4=95
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 94:[49, 95], Operations: ['67-18=49', '99-4=95']
Exploring Operation: 49+95=144, Resulting Numbers: [144]
144,94 unequal: No Solution
Exploring Operation: 49*95=4655, Resulting Numbers: [4655]
4655,94 unequal: No Solution
Exploring Operation: 95-49=46, Resulting Numbers: [46]
46,94 unequal: No Solution
No 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: 94:[4, 50], Operations: ['67-18=49', '99-49=50']
Exploring Operation: 4*50=200, Resulting Numbers: [200]
200,94 unequal: No Solution
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,94 unequal: No Solution
Exploring Operation: 4+50=54, Resulting Numbers: [54]
54,94 unequal: No Solution
No 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: 94:[99, 45], Operations: ['67-18=49', '49-4=45']
Exploring Operation: 99*45=4455, Resulting Numbers: [4455]
4455,94 unequal: No Solution
Exploring Operation: 99+45=144, Resulting Numbers: [144]
144,94 unequal: No Solution
Exploring Operation: 99-45=54, Resulting Numbers: [54]
54,94 unequal: No Solution
No 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: 94:[49, 103], Operations: ['67-18=49', '4+99=103']
Exploring Operation: 49*103=5047, Resulting Numbers: [5047]
5047,94 unequal: No Solution
Exploring Operation: 49+103=152, Resulting Numbers: [152]
152,94 unequal: No Solution
Exploring Operation: 103-49=54, Resulting Numbers: [54]
54,94 unequal: No Solution
No 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: 94:[99, 53], Operations: ['67-18=49', '4+49=53']
Exploring Operation: 99+53=152, Resulting Numbers: [152]
152,94 unequal: No Solution
Exploring Operation: 99-53=46, Resulting Numbers: [46]
46,94 unequal: No Solution
Exploring Operation: 99*53=5247, Resulting Numbers: [5247]
5247,94 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: 94:[4, 99, 85], Operations: ['67+18=85']
Exploring Operation: 99-85=14, Resulting Numbers: [4, 14]
Generated Node #0,1,0: 94:[4, 14] Operation: 99-85=14
Exploring Operation: 4+99=103, Resulting Numbers: [85, 103]
Generated Node #0,1,1: 94:[85, 103] Operation: 4+99=103
Exploring Operation: 85-4=81, Resulting Numbers: [99, 81]
Generated Node #0,1,2: 94:[99, 81] Operation: 85-4=81
Exploring Operation: 4+85=89, Resulting Numbers: [99, 89]
Generated Node #0,1,3: 94:[99, 89] Operation: 4+85=89
Exploring Operation: 99-4=95, Resulting Numbers: [85, 95]
Generated Node #0,1,4: 94:[85, 95] Operation: 99-4=95
Moving to Node #0,3
Current State: 94:[18, 4, 32], Operations: ['99-67=32']
Exploring Operation: 18-4=14, Resulting Numbers: [32, 14]
Generated Node #0,3,0: 94:[32, 14] Operation: 18-4=14
Exploring Operation: 4+32=36, Resulting Numbers: [18, 36]
Generated Node #0,3,1: 94:[18, 36] Operation: 4+32=36
Exploring Operation: 32/4=8, Resulting Numbers: [18, 8]
Generated Node #0,3,2: 94:[18, 8] Operation: 32/4=8
Exploring Operation: 32-18=14, Resulting Numbers: [4, 14]
Generated Node #0,3,3: 94:[4, 14] Operation: 32-18=14
Exploring Operation: 18+32=50, Resulting Numbers: [4, 50]
Generated Node #0,3,4: 94:[4, 50] Operation: 18+32=50
Moving to Node #0,2
Current State: 94:[67, 4, 81], Operations: ['99-18=81']
Exploring Operation: 4+81=85, Resulting Numbers: [67, 85]
Generated Node #0,2,0: 94:[67, 85] Operation: 4+81=85
Exploring Operation: 81-67=14, Resulting Numbers: [4, 14]
Generated Node #0,2,1: 94:[4, 14] Operation: 81-67=14
Exploring Operation: 67-4=63, Resulting Numbers: [81, 63]
Generated Node #0,2,2: 94:[81, 63] Operation: 67-4=63
Exploring Operation: 81-4=77, Resulting Numbers: [67, 77]
Generated Node #0,2,3: 94:[67, 77] Operation: 81-4=77
Exploring Operation: 67+4=71, Resulting Numbers: [81, 71]
Generated Node #0,2,4: 94:[81, 71] Operation: 67+4=71
Moving to Node #0,4
Current State: 94:[18, 99, 63], Operations: ['67-4=63']
Exploring Operation: 99-63=36, Resulting Numbers: [18, 36]
Generated Node #0,4,0: 94:[18, 36] Operation: 99-63=36
Exploring Operation: 63-18=45, Resulting Numbers: [99, 45]
Generated Node #0,4,1: 94:[99, 45] Operation: 63-18=45
Exploring Operation: 18+63=81, Resulting Numbers: [99, 81]
Generated Node #0,4,2: 94:[99, 81] Operation: 18+63=81
Exploring Operation: 99-18=81, Resulting Numbers: [63, 81]
Generated Node #0,4,3: 94:[63, 81] Operation: 99-18=81
Exploring Operation: 18+99=117, Resulting Numbers: [63, 117]
Generated Node #0,4,4: 94:[63, 117] Operation: 18+99=117
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 94:[99, 45], Operations: ['67-4=63', '63-18=45']
Exploring Operation: 99*45=4455, Resulting Numbers: [4455]
4455,94 unequal: No Solution
Exploring Operation: 99-45=54, Resulting Numbers: [54]
54,94 unequal: No Solution
Exploring Operation: 99+45=144, Resulting Numbers: [144]
144,94 unequal: No Solution
No 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: 94:[99, 81], Operations: ['67-4=63', '18+63=81']
Exploring Operation: 99*81=8019, Resulting Numbers: [8019]
8019,94 unequal: No Solution
Exploring Operation: 99-81=18, Resulting Numbers: [18]
18,94 unequal: No Solution
Exploring Operation: 99+81=180, Resulting Numbers: [180]
180,94 unequal: No Solution
No 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: 94:[18, 36], Operations: ['67-4=63', '99-63=36']
Exploring Operation: 18*36=648, Resulting Numbers: [648]
648,94 unequal: No Solution
Exploring Operation: 36-18=18, Resulting Numbers: [18]
18,94 unequal: No Solution
Exploring Operation: 18+36=54, Resulting Numbers: [54]
54,94 unequal: No Solution
Exploring Operation: 36/18=2, Resulting Numbers: [2]
2,94 unequal: No Solution
No 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: 94:[63, 81], Operations: ['67-4=63', '99-18=81']
Exploring Operation: 63*81=5103, Resulting Numbers: [5103]
5103,94 unequal: No Solution
Exploring Operation: 81-63=18, Resulting Numbers: [18]
18,94 unequal: No Solution
Exploring Operation: 63+81=144, Resulting Numbers: [144]
144,94 unequal: No Solution
No 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: 94:[63, 117], Operations: ['67-4=63', '18+99=117']
Exploring Operation: 117-63=54, Resulting Numbers: [54]
54,94 unequal: No Solution
Exploring Operation: 63*117=7371, Resulting Numbers: [7371]
7371,94 unequal: No Solution
Exploring Operation: 63+117=180, Resulting Numbers: [180]
180,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,4
Current State: 94:[4, 50], Operations: ['99-67=32', '18+32=50']
Exploring Operation: 4+50=54, Resulting Numbers: [54]
54,94 unequal: No Solution
Exploring Operation: 4*50=200, Resulting Numbers: [200]
200,94 unequal: No Solution
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,94 unequal: No Solution
Moving to Node #0,1,3
Current State: 94:[99, 89], Operations: ['67+18=85', '4+85=89']
Exploring Operation: 99+89=188, Resulting Numbers: [188]
188,94 unequal: No Solution
Exploring Operation: 99-89=10, Resulting Numbers: [10]
10,94 unequal: No Solution
Exploring Operation: 99*89=8811, Resulting Numbers: [8811]
8811,94 unequal: No Solution
Moving to Node #0,1,4
Current State: 94:[85, 95], Operations: ['67+18=85', '99-4=95']
Exploring Operation: 95-85=10, Resulting Numbers: [10]
10,94 unequal: No Solution
Exploring Operation: 85*95=8075, Resulting Numbers: [8075]
8075,94 unequal: No Solution
Exploring Operation: 85+95=180, Resulting Numbers: [180]
180,94 unequal: No Solution
Moving to Node #0,3,3
Current State: 94:[4, 14], Operations: ['99-67=32', '32-18=14']
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,94 unequal: No Solution
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,94 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,94 unequal: No Solution
Moving to Node #0,1,0
Current State: 94:[4, 14], Operations: ['67+18=85', '99-85=14']
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,94 unequal: No Solution
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,94 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,94 unequal: No Solution
Moving to Node #0,2,1
Current State: 94:[4, 14], Operations: ['99-18=81', '81-67=14']
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,94 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,94 unequal: No Solution
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,94 unequal: No Solution
Moving to Node #0,1,2
Current State: 94:[99, 81], Operations: ['67+18=85', '85-4=81']
Exploring Operation: 99*81=8019, Resulting Numbers: [8019]
8019,94 unequal: No Solution
Exploring Operation: 99+81=180, Resulting Numbers: [180]
180,94 unequal: No Solution
Exploring Operation: 99-81=18, Resulting Numbers: [18]
18,94 unequal: No Solution
Moving to Node #0,1,1
Current State: 94:[85, 103], Operations: ['67+18=85', '4+99=103']
Exploring Operation: 103-85=18, Resulting Numbers: [18]
18,94 unequal: No Solution
Exploring Operation: 85*103=8755, Resulting Numbers: [8755]
8755,94 unequal: No Solution
Exploring Operation: 85+103=188, Resulting Numbers: [188]
188,94 unequal: No Solution
Moving to Node #0,3,2
Current State: 94:[18, 8], Operations: ['99-67=32', '32/4=8']
Exploring Operation: 18*8=144, Resulting Numbers: [144]
144,94 unequal: No Solution
Exploring Operation: 18+8=26, Resulting Numbers: [26]
26,94 unequal: No Solution
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,94 unequal: No Solution
Moving to Node #0,3,1
Current State: 94:[18, 36], Operations: ['99-67=32', '4+32=36']
Exploring Operation: 18*36=648, Resulting Numbers: [648]
648,94 unequal: No Solution
Exploring Operation: 18+36=54, Resulting Numbers: [54]
54,94 unequal: No Solution
Exploring Operation: 36-18=18, Resulting Numbers: [18]
18,94 unequal: No Solution
Exploring Operation: 36/18=2, Resulting Numbers: [2]
2,94 unequal: No Solution
Moving to Node #0,3,0
Current State: 94:[32, 14], Operations: ['99-67=32', '18-4=14']
Exploring Operation: 32-14=18, Resulting Numbers: [18]
18,94 unequal: No Solution
Exploring Operation: 32+14=46, Resulting Numbers: [46]
46,94 unequal: No Solution
Exploring Operation: 32*14=448, Resulting Numbers: [448]
448,94 unequal: No Solution
Moving to Node #0,2,0
Current State: 94:[67, 85], Operations: ['99-18=81', '4+81=85']
Exploring Operation: 85-67=18, Resulting Numbers: [18]
18,94 unequal: No Solution
Exploring Operation: 67*85=5695, Resulting Numbers: [5695]
5695,94 unequal: No Solution
Exploring Operation: 67+85=152, Resulting Numbers: [152]
152,94 unequal: No Solution
Moving to Node #0,2,2
Current State: 94:[81, 63], Operations: ['99-18=81', '67-4=63']
Exploring Operation: 81+63=144, Resulting Numbers: [144]
144,94 unequal: No Solution
Exploring Operation: 81*63=5103, Resulting Numbers: [5103]
5103,94 unequal: No Solution
Exploring Operation: 81-63=18, Resulting Numbers: [18]
18,94 unequal: No Solution
Moving to Node #0,2,4
Current State: 94:[81, 71], Operations: ['99-18=81', '67+4=71']
Exploring Operation: 81+71=152, Resulting Numbers: [152]
152,94 unequal: No Solution
Exploring Operation: 81*71=5751, Resulting Numbers: [5751]
5751,94 unequal: No Solution
Exploring Operation: 81-71=10, Resulting Numbers: [10]
10,94 unequal: No Solution
Moving to Node #0,2,3
Current State: 94:[67, 77], Operations: ['99-18=81', '81-4=77']
Exploring Operation: 67*77=5159, Resulting Numbers: [5159]
5159,94 unequal: No Solution
Exploring Operation: 77-67=10, Resulting Numbers: [10]
10,94 unequal: No Solution
Exploring Operation: 67+77=144, Resulting Numbers: [144]
144,94 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
30,
3,
27,
20
] | 97 | [
"30*3=90",
"27-20=7",
"90+7=97"
] | Current State: 97:[30, 3, 27, 20], Operations: []
Exploring Operation: 30*3=90, Resulting Numbers: [27, 20, 90]
Generated Node #2: [27, 20, 90] from Operation: 30*3=90
Current State: 97:[27, 20, 90], Operations: ['30*3=90']
Exploring Operation: 27-20=7, Resulting Numbers: [90, 7]
Generated Node #3: [90, 7] from Operation: 27-20=7
Current State: 97:[90, 7], Operations: ['30*3=90', '27-20=7']
Exploring Operation: 90+7=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[30, 3, 27, 20], Operations: []
Exploring Operation: 3*27=81, Resulting Numbers: [30, 20, 81]
Generated Node #0,0: 97:[30, 20, 81] Operation: 3*27=81
Exploring Operation: 3*20=60, Resulting Numbers: [30, 27, 60]
Generated Node #0,1: 97:[30, 27, 60] Operation: 3*20=60
Exploring Operation: 30*3=90, Resulting Numbers: [27, 20, 90]
Generated Node #0,2: 97:[27, 20, 90] Operation: 30*3=90
Moving to Node #0,2
Current State: 97:[27, 20, 90], Operations: ['30*3=90']
Exploring Operation: 27+20=47, Resulting Numbers: [90, 47]
Generated Node #0,2,0: 97:[90, 47] Operation: 27+20=47
Exploring Operation: 27-20=7, Resulting Numbers: [90, 7]
Generated Node #0,2,1: 97:[90, 7] Operation: 27-20=7
Exploring Operation: 20+90=110, Resulting Numbers: [27, 110]
Generated Node #0,2,2: 97:[27, 110] Operation: 20+90=110
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 97:[90, 47], Operations: ['30*3=90', '27+20=47']
Exploring Operation: 90-47=43, Resulting Numbers: [43]
43,97 unequal: No Solution
Exploring Operation: 90+47=137, Resulting Numbers: [137]
137,97 unequal: No Solution
Exploring Operation: 90*47=4230, Resulting Numbers: [4230]
4230,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 97:[27, 110], Operations: ['30*3=90', '20+90=110']
Exploring Operation: 110-27=83, Resulting Numbers: [83]
83,97 unequal: No Solution
Exploring Operation: 27*110=2970, Resulting Numbers: [2970]
2970,97 unequal: No Solution
Exploring Operation: 27+110=137, Resulting Numbers: [137]
137,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 97:[90, 7], Operations: ['30*3=90', '27-20=7']
Exploring Operation: 90-7=83, Resulting Numbers: [83]
83,97 unequal: No Solution
Exploring Operation: 90*7=630, Resulting Numbers: [630]
630,97 unequal: No Solution
Exploring Operation: 90+7=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[30, 3, 27, 20], Operations: []
Exploring Operation: 30*3=90, Resulting Numbers: [27, 20, 90]
Generated Node #0,2: 97:[27, 20, 90] Operation: 30*3=90
Moving to Node #0,2
Current State: 97:[27, 20, 90], Operations: ['30*3=90']
Exploring Operation: 27-20=7, Resulting Numbers: [90, 7]
Generated Node #0,2,1: 97:[90, 7] Operation: 27-20=7
Moving to Node #0,2,1
Current State: 97:[90, 7], Operations: ['30*3=90', '27-20=7']
Exploring Operation: 90+7=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_3 | mult_heuristic |
[
81,
74,
8,
86
] | 71 | [
"81-74=7",
"86-8=78",
"78-7=71"
] | Current State: 71:[81, 74, 8, 86], Operations: []
Exploring Operation: 81-74=7, Resulting Numbers: [8, 86, 7]
Generated Node #2: [8, 86, 7] from Operation: 81-74=7
Current State: 71:[8, 86, 7], Operations: ['81-74=7']
Exploring Operation: 86-8=78, Resulting Numbers: [7, 78]
Generated Node #3: [7, 78] from Operation: 86-8=78
Current State: 71:[7, 78], Operations: ['81-74=7', '86-8=78']
Exploring Operation: 78-7=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[81, 74, 8, 86], Operations: []
Exploring Operation: 74-8=66, Resulting Numbers: [81, 86, 66]
Generated Node #0,0: 71:[81, 86, 66] Operation: 74-8=66
Exploring Operation: 81-8=73, Resulting Numbers: [74, 86, 73]
Generated Node #0,1: 71:[74, 86, 73] Operation: 81-8=73
Exploring Operation: 86-8=78, Resulting Numbers: [81, 74, 78]
Generated Node #0,2: 71:[81, 74, 78] Operation: 86-8=78
Exploring Operation: 74+8=82, Resulting Numbers: [81, 86, 82]
Generated Node #0,3: 71:[81, 86, 82] Operation: 74+8=82
Exploring Operation: 81+8=89, Resulting Numbers: [74, 86, 89]
Generated Node #0,4: 71:[74, 86, 89] Operation: 81+8=89
Start Sub Search at level 1: Moving to Node #0,1
Current State: 71:[74, 86, 73], Operations: ['81-8=73']
Exploring Operation: 74+73=147, Resulting Numbers: [86, 147]
Generated Node #0,1,0: 71:[86, 147] Operation: 74+73=147
Exploring Operation: 86-73=13, Resulting Numbers: [74, 13]
Generated Node #0,1,1: 71:[74, 13] Operation: 86-73=13
Exploring Operation: 74+86=160, Resulting Numbers: [73, 160]
Generated Node #0,1,2: 71:[73, 160] Operation: 74+86=160
Exploring Operation: 74-73=1, Resulting Numbers: [86, 1]
Generated Node #0,1,3: 71:[86, 1] Operation: 74-73=1
Exploring Operation: 86-74=12, Resulting Numbers: [73, 12]
Generated Node #0,1,4: 71:[73, 12] Operation: 86-74=12
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 71:[74, 13], Operations: ['81-8=73', '86-73=13']
Exploring Operation: 74-13=61, Resulting Numbers: [61]
61,71 unequal: No Solution
Exploring Operation: 74*13=962, Resulting Numbers: [962]
962,71 unequal: No Solution
Exploring Operation: 74+13=87, Resulting Numbers: [87]
87,71 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 #0,1,4
Current State: 71:[73, 12], Operations: ['81-8=73', '86-74=12']
Exploring Operation: 73*12=876, Resulting Numbers: [876]
876,71 unequal: No Solution
Exploring Operation: 73-12=61, Resulting Numbers: [61]
61,71 unequal: No Solution
Exploring Operation: 73+12=85, Resulting Numbers: [85]
85,71 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 #0,1,3
Current State: 71:[86, 1], Operations: ['81-8=73', '74-73=1']
Exploring Operation: 86-1=85, Resulting Numbers: [85]
85,71 unequal: No Solution
Exploring Operation: 86/1=86, Resulting Numbers: [86]
86,71 unequal: No Solution
Exploring Operation: 86+1=87, Resulting Numbers: [87]
87,71 unequal: No Solution
Exploring Operation: 86*1=86, Resulting Numbers: [86]
86,71 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 #0,1,0
Current State: 71:[86, 147], Operations: ['81-8=73', '74+73=147']
Exploring Operation: 147-86=61, Resulting Numbers: [61]
61,71 unequal: No Solution
Exploring Operation: 86+147=233, Resulting Numbers: [233]
233,71 unequal: No Solution
Exploring Operation: 86*147=12642, Resulting Numbers: [12642]
12642,71 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 #0,1,2
Current State: 71:[73, 160], Operations: ['81-8=73', '74+86=160']
Exploring Operation: 73+160=233, Resulting Numbers: [233]
233,71 unequal: No Solution
Exploring Operation: 73*160=11680, Resulting Numbers: [11680]
11680,71 unequal: No Solution
Exploring Operation: 160-73=87, Resulting Numbers: [87]
87,71 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 #0,2
Current State: 71:[81, 74, 78], Operations: ['86-8=78']
Exploring Operation: 78-74=4, Resulting Numbers: [81, 4]
Generated Node #0,2,0: 71:[81, 4] Operation: 78-74=4
Exploring Operation: 81+78=159, Resulting Numbers: [74, 159]
Generated Node #0,2,1: 71:[74, 159] Operation: 81+78=159
Exploring Operation: 81-74=7, Resulting Numbers: [78, 7]
Generated Node #0,2,2: 71:[78, 7] Operation: 81-74=7
Exploring Operation: 81-78=3, Resulting Numbers: [74, 3]
Generated Node #0,2,3: 71:[74, 3] Operation: 81-78=3
Exploring Operation: 81+74=155, Resulting Numbers: [78, 155]
Generated Node #0,2,4: 71:[78, 155] Operation: 81+74=155
Moving to Node #0,2,2
Current State: 71:[78, 7], Operations: ['86-8=78', '81-74=7']
Exploring Operation: 78-7=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[81, 74, 8, 86], Operations: []
Exploring Operation: 86-8=78, Resulting Numbers: [81, 74, 78]
Generated Node #0,2: 71:[81, 74, 78] Operation: 86-8=78
Moving to Node #0,2
Current State: 71:[81, 74, 78], Operations: ['86-8=78']
Exploring Operation: 81-74=7, Resulting Numbers: [78, 7]
Generated Node #0,2,2: 71:[78, 7] Operation: 81-74=7
Moving to Node #0,2,2
Current State: 71:[78, 7], Operations: ['86-8=78', '81-74=7']
Exploring Operation: 78-7=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_5 | sum_heuristic |
[
37,
37,
47,
19
] | 66 | [
"37-37=0",
"47+19=66",
"0+66=66"
] | Current State: 66:[37, 37, 47, 19], Operations: []
Exploring Operation: 37-37=0, Resulting Numbers: [47, 19, 0]
Generated Node #2: [47, 19, 0] from Operation: 37-37=0
Current State: 66:[47, 19, 0], Operations: ['37-37=0']
Exploring Operation: 47+19=66, Resulting Numbers: [0, 66]
Generated Node #3: [0, 66] from Operation: 47+19=66
Current State: 66:[0, 66], Operations: ['37-37=0', '47+19=66']
Exploring Operation: 0+66=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[37, 37, 47, 19], Operations: []
Exploring Operation: 47-37=10, Resulting Numbers: [37, 19, 10]
Generated Node #0,0: 66:[37, 19, 10] Operation: 47-37=10
Exploring Operation: 47-37=10, Resulting Numbers: [37, 19, 10]
Generated Node #0,1: 66:[37, 19, 10] Operation: 47-37=10
Exploring Operation: 47+19=66, Resulting Numbers: [37, 37, 66]
Generated Node #0,2: 66:[37, 37, 66] Operation: 47+19=66
Exploring Operation: 47-19=28, Resulting Numbers: [37, 37, 28]
Generated Node #0,3: 66:[37, 37, 28] Operation: 47-19=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[37, 19, 10], Operations: ['47-37=10']
Exploring Operation: 19-10=9, Resulting Numbers: [37, 9]
Generated Node #0,0,0: 66:[37, 9] Operation: 19-10=9
Exploring Operation: 19+10=29, Resulting Numbers: [37, 29]
Generated Node #0,0,1: 66:[37, 29] Operation: 19+10=29
Exploring Operation: 37-10=27, Resulting Numbers: [19, 27]
Generated Node #0,0,2: 66:[19, 27] Operation: 37-10=27
Exploring Operation: 37-19=18, Resulting Numbers: [10, 18]
Generated Node #0,0,3: 66:[10, 18] Operation: 37-19=18
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 66:[10, 18], Operations: ['47-37=10', '37-19=18']
Exploring Operation: 10*18=180, Resulting Numbers: [180]
180,66 unequal: No Solution
Exploring Operation: 10+18=28, Resulting Numbers: [28]
28,66 unequal: No Solution
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,66 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 #0,0,0
Current State: 66:[37, 9], Operations: ['47-37=10', '19-10=9']
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,66 unequal: No Solution
Exploring Operation: 37*9=333, Resulting Numbers: [333]
333,66 unequal: No Solution
Exploring Operation: 37+9=46, Resulting Numbers: [46]
46,66 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 #0,0,1
Current State: 66:[37, 29], Operations: ['47-37=10', '19+10=29']
Exploring Operation: 37*29=1073, Resulting Numbers: [1073]
1073,66 unequal: No Solution
Exploring Operation: 37-29=8, Resulting Numbers: [8]
8,66 unequal: No Solution
Exploring Operation: 37+29=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[37, 37, 47, 19], Operations: []
Exploring Operation: 47-37=10, Resulting Numbers: [37, 19, 10]
Generated Node #0,0: 66:[37, 19, 10] Operation: 47-37=10
Moving to Node #0,0
Current State: 66:[37, 19, 10], Operations: ['47-37=10']
Exploring Operation: 19+10=29, Resulting Numbers: [37, 29]
Generated Node #0,0,1: 66:[37, 29] Operation: 19+10=29
Moving to Node #0,0,1
Current State: 66:[37, 29], Operations: ['47-37=10', '19+10=29']
Exploring Operation: 37+29=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.981771 | hs_4 | mult_heuristic |
[
27,
39,
60,
67
] | 26 | [
"67-27=40",
"39*40=1560",
"1560/60=26"
] | Current State: 26:[27, 39, 60, 67], Operations: []
Exploring Operation: 67-27=40, Resulting Numbers: [39, 60, 40]
Generated Node #2: [39, 60, 40] from Operation: 67-27=40
Current State: 26:[39, 60, 40], Operations: ['67-27=40']
Exploring Operation: 39*40=1560, Resulting Numbers: [60, 1560]
Generated Node #3: [60, 1560] from Operation: 39*40=1560
Current State: 26:[60, 1560], Operations: ['67-27=40', '39*40=1560']
Exploring Operation: 1560/60=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[27, 39, 60, 67], Operations: []
Exploring Operation: 67-60=7, Resulting Numbers: [27, 39, 7]
Generated Node #0,0: 26:[27, 39, 7] Operation: 67-60=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[27, 39, 7], Operations: ['67-60=7']
Exploring Operation: 39-27=12, Resulting Numbers: [7, 12]
Generated Node #0,0,0: 26:[7, 12] Operation: 39-27=12
Moving to Node #0,0,0
Current State: 26:[7, 12], Operations: ['67-60=7', '39-27=12']
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,26 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 |
[
34,
4,
15,
23
] | 29 | [
"34-23=11",
"4*11=44",
"44-15=29"
] | Current State: 29:[34, 4, 15, 23], Operations: []
Exploring Operation: 34-23=11, Resulting Numbers: [4, 15, 11]
Generated Node #2: [4, 15, 11] from Operation: 34-23=11
Current State: 29:[4, 15, 11], Operations: ['34-23=11']
Exploring Operation: 4*11=44, Resulting Numbers: [15, 44]
Generated Node #3: [15, 44] from Operation: 4*11=44
Current State: 29:[15, 44], Operations: ['34-23=11', '4*11=44']
Exploring Operation: 44-15=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[34, 4, 15, 23], Operations: []
Exploring Operation: 34-4=30, Resulting Numbers: [15, 23, 30]
Generated Node #0,0: 29:[15, 23, 30] Operation: 34-4=30
Exploring Operation: 4+15=19, Resulting Numbers: [34, 23, 19]
Generated Node #0,1: 29:[34, 23, 19] Operation: 4+15=19
Moving to Node #0,0
Current State: 29:[15, 23, 30], Operations: ['34-4=30']
Exploring Operation: 15+23=38, Resulting Numbers: [30, 38]
Generated Node #0,0,0: 29:[30, 38] Operation: 15+23=38
Exploring Operation: 30-15=15, Resulting Numbers: [23, 15]
Generated Node #0,0,1: 29:[23, 15] Operation: 30-15=15
Moving to Node #0,1
Current State: 29:[34, 23, 19], Operations: ['4+15=19']
Exploring Operation: 34-19=15, Resulting Numbers: [23, 15]
Generated Node #0,1,0: 29:[23, 15] Operation: 34-19=15
Exploring Operation: 23+19=42, Resulting Numbers: [34, 42]
Generated Node #0,1,1: 29:[34, 42] Operation: 23+19=42
Moving to Node #0,0,0
Current State: 29:[30, 38], Operations: ['34-4=30', '15+23=38']
Exploring Operation: 30+38=68, Resulting Numbers: [68]
68,29 unequal: No Solution
Exploring Operation: 38-30=8, Resulting Numbers: [8]
8,29 unequal: No Solution
Moving to Node #0,1,1
Current State: 29:[34, 42], Operations: ['4+15=19', '23+19=42']
Exploring Operation: 42-34=8, Resulting Numbers: [8]
8,29 unequal: No Solution
Exploring Operation: 34+42=76, Resulting Numbers: [76]
76,29 unequal: No Solution
Moving to Node #0,0,1
Current State: 29:[23, 15], Operations: ['34-4=30', '30-15=15']
Exploring Operation: 23-15=8, Resulting Numbers: [8]
8,29 unequal: No Solution
Exploring Operation: 23+15=38, Resulting Numbers: [38]
38,29 unequal: No Solution
Moving to Node #0,1,0
Current State: 29:[23, 15], Operations: ['4+15=19', '34-19=15']
Exploring Operation: 23-15=8, Resulting Numbers: [8]
8,29 unequal: No Solution
Exploring Operation: 23+15=38, Resulting Numbers: [38]
38,29 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
34,
30,
11,
21
] | 32 | [
"34+30=64",
"11+21=32",
"64-32=32"
] | Current State: 32:[34, 30, 11, 21], Operations: []
Exploring Operation: 34+30=64, Resulting Numbers: [11, 21, 64]
Generated Node #2: [11, 21, 64] from Operation: 34+30=64
Current State: 32:[11, 21, 64], Operations: ['34+30=64']
Exploring Operation: 11+21=32, Resulting Numbers: [64, 32]
Generated Node #3: [64, 32] from Operation: 11+21=32
Current State: 32:[64, 32], Operations: ['34+30=64', '11+21=32']
Exploring Operation: 64-32=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[34, 30, 11, 21], Operations: []
Exploring Operation: 30-21=9, Resulting Numbers: [34, 11, 9]
Generated Node #0,0: 32:[34, 11, 9] Operation: 30-21=9
Exploring Operation: 11+21=32, Resulting Numbers: [34, 30, 32]
Generated Node #0,1: 32:[34, 30, 32] Operation: 11+21=32
Moving to Node #0,1
Current State: 32:[34, 30, 32], Operations: ['11+21=32']
Exploring Operation: 34-32=2, Resulting Numbers: [30, 2]
Generated Node #0,1,0: 32:[30, 2] Operation: 34-32=2
Exploring Operation: 34-30=4, Resulting Numbers: [32, 4]
Generated Node #0,1,1: 32:[32, 4] Operation: 34-30=4
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 32:[32, 4], Operations: ['11+21=32', '34-30=4']
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,32 unequal: No Solution
Exploring Operation: 32+4=36, Resulting Numbers: [36]
36,32 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 #0,1,0
Current State: 32:[30, 2], Operations: ['11+21=32', '34-32=2']
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,32 unequal: No Solution
Exploring Operation: 30+2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[34, 30, 11, 21], Operations: []
Exploring Operation: 11+21=32, Resulting Numbers: [34, 30, 32]
Generated Node #0,1: 32:[34, 30, 32] Operation: 11+21=32
Moving to Node #0,1
Current State: 32:[34, 30, 32], Operations: ['11+21=32']
Exploring Operation: 34-32=2, Resulting Numbers: [30, 2]
Generated Node #0,1,0: 32:[30, 2] Operation: 34-32=2
Moving to Node #0,1,0
Current State: 32:[30, 2], Operations: ['11+21=32', '34-32=2']
Exploring Operation: 30+2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
26,
51,
22,
56
] | 59 | [
"51-26=25",
"56-22=34",
"25+34=59"
] | Current State: 59:[26, 51, 22, 56], Operations: []
Exploring Operation: 51-26=25, Resulting Numbers: [22, 56, 25]
Generated Node #2: [22, 56, 25] from Operation: 51-26=25
Current State: 59:[22, 56, 25], Operations: ['51-26=25']
Exploring Operation: 56-22=34, Resulting Numbers: [25, 34]
Generated Node #3: [25, 34] from Operation: 56-22=34
Current State: 59:[25, 34], Operations: ['51-26=25', '56-22=34']
Exploring Operation: 25+34=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[26, 51, 22, 56], Operations: []
Exploring Operation: 26+22=48, Resulting Numbers: [51, 56, 48]
Generated Node #0,0: 59:[51, 56, 48] Operation: 26+22=48
Exploring Operation: 51+22=73, Resulting Numbers: [26, 56, 73]
Generated Node #0,1: 59:[26, 56, 73] Operation: 51+22=73
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[51, 56, 48], Operations: ['26+22=48']
Exploring Operation: 51+48=99, Resulting Numbers: [56, 99]
Generated Node #0,0,0: 59:[56, 99] Operation: 51+48=99
Exploring Operation: 56+48=104, Resulting Numbers: [51, 104]
Generated Node #0,0,1: 59:[51, 104] Operation: 56+48=104
Moving to Node #0,0,0
Current State: 59:[56, 99], Operations: ['26+22=48', '51+48=99']
Exploring Operation: 99-56=43, Resulting Numbers: [43]
43,59 unequal: No Solution
Exploring Operation: 56+99=155, Resulting Numbers: [155]
155,59 unequal: No Solution
Moving to Node #0,0,1
Current State: 59:[51, 104], Operations: ['26+22=48', '56+48=104']
Exploring Operation: 51+104=155, Resulting Numbers: [155]
155,59 unequal: No Solution
Exploring Operation: 104-51=53, Resulting Numbers: [53]
53,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[26, 56, 73], Operations: ['51+22=73']
Exploring Operation: 73-26=47, Resulting Numbers: [56, 47]
Generated Node #0,1,0: 59:[56, 47] Operation: 73-26=47
Exploring Operation: 26+56=82, Resulting Numbers: [73, 82]
Generated Node #0,1,1: 59:[73, 82] Operation: 26+56=82
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 59:[56, 47], Operations: ['51+22=73', '73-26=47']
Exploring Operation: 56+47=103, Resulting Numbers: [103]
103,59 unequal: No Solution
Exploring Operation: 56-47=9, Resulting Numbers: [9]
9,59 unequal: No Solution
No 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: 59:[73, 82], Operations: ['51+22=73', '26+56=82']
Exploring Operation: 82-73=9, Resulting Numbers: [9]
9,59 unequal: No Solution
Exploring Operation: 73+82=155, Resulting Numbers: [155]
155,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
99,
92,
38,
7
] | 75 | [
"99+92=191",
"38*7=266",
"266-191=75"
] | Current State: 75:[99, 92, 38, 7], Operations: []
Exploring Operation: 99+92=191, Resulting Numbers: [38, 7, 191]
Generated Node #2: [38, 7, 191] from Operation: 99+92=191
Current State: 75:[38, 7, 191], Operations: ['99+92=191']
Exploring Operation: 38*7=266, Resulting Numbers: [191, 266]
Generated Node #3: [191, 266] from Operation: 38*7=266
Current State: 75:[191, 266], Operations: ['99+92=191', '38*7=266']
Exploring Operation: 266-191=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[99, 92, 38, 7], Operations: []
Exploring Operation: 99-38=61, Resulting Numbers: [92, 7, 61]
Generated Node #0,0: 75:[92, 7, 61] Operation: 99-38=61
Exploring Operation: 99-92=7, Resulting Numbers: [38, 7, 7]
Generated Node #0,1: 75:[38, 7, 7] Operation: 99-92=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[38, 7, 7], Operations: ['99-92=7']
Exploring Operation: 38-7=31, Resulting Numbers: [7, 31]
Generated Node #0,1,0: 75:[7, 31] Operation: 38-7=31
Exploring Operation: 38-7=31, Resulting Numbers: [7, 31]
Generated Node #0,1,1: 75:[7, 31] Operation: 38-7=31
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 75:[7, 31], Operations: ['99-92=7', '38-7=31']
Exploring Operation: 7+31=38, Resulting Numbers: [38]
38,75 unequal: No Solution
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 75:[7, 31], Operations: ['99-92=7', '38-7=31']
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,75 unequal: No Solution
Exploring Operation: 7+31=38, Resulting Numbers: [38]
38,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[92, 7, 61], Operations: ['99-38=61']
Exploring Operation: 92-61=31, Resulting Numbers: [7, 31]
Generated Node #0,0,0: 75:[7, 31] Operation: 92-61=31
Exploring Operation: 92-7=85, Resulting Numbers: [61, 85]
Generated Node #0,0,1: 75:[61, 85] Operation: 92-7=85
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 75:[7, 31], Operations: ['99-38=61', '92-61=31']
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,75 unequal: No Solution
Exploring Operation: 7+31=38, Resulting Numbers: [38]
38,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 75:[61, 85], Operations: ['99-38=61', '92-7=85']
Exploring Operation: 61+85=146, Resulting Numbers: [146]
146,75 unequal: No Solution
Exploring Operation: 85-61=24, Resulting Numbers: [24]
24,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
98,
94,
74,
28
] | 92 | [
"94+74=168",
"168/28=6",
"98-6=92"
] | Current State: 92:[98, 94, 74, 28], Operations: []
Exploring Operation: 94+74=168, Resulting Numbers: [98, 28, 168]
Generated Node #2: [98, 28, 168] from Operation: 94+74=168
Current State: 92:[98, 28, 168], Operations: ['94+74=168']
Exploring Operation: 168/28=6, Resulting Numbers: [98, 6]
Generated Node #3: [98, 6] from Operation: 168/28=6
Current State: 92:[98, 6], Operations: ['94+74=168', '168/28=6']
Exploring Operation: 98-6=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[98, 94, 74, 28], Operations: []
Exploring Operation: 74-28=46, Resulting Numbers: [98, 94, 46]
Generated Node #0,0: 92:[98, 94, 46] Operation: 74-28=46
Exploring Operation: 98-94=4, Resulting Numbers: [74, 28, 4]
Generated Node #0,1: 92:[74, 28, 4] Operation: 98-94=4
Exploring Operation: 98-74=24, Resulting Numbers: [94, 28, 24]
Generated Node #0,2: 92:[94, 28, 24] Operation: 98-74=24
Exploring Operation: 94-74=20, Resulting Numbers: [98, 28, 20]
Generated Node #0,3: 92:[98, 28, 20] Operation: 94-74=20
Exploring Operation: 74+28=102, Resulting Numbers: [98, 94, 102]
Generated Node #0,4: 92:[98, 94, 102] Operation: 74+28=102
Moving to Node #0,0
Current State: 92:[98, 94, 46], Operations: ['74-28=46']
Exploring Operation: 94+46=140, Resulting Numbers: [98, 140]
Generated Node #0,0,0: 92:[98, 140] Operation: 94+46=140
Exploring Operation: 98-46=52, Resulting Numbers: [94, 52]
Generated Node #0,0,1: 92:[94, 52] Operation: 98-46=52
Exploring Operation: 98+46=144, Resulting Numbers: [94, 144]
Generated Node #0,0,2: 92:[94, 144] Operation: 98+46=144
Exploring Operation: 98-94=4, Resulting Numbers: [46, 4]
Generated Node #0,0,3: 92:[46, 4] Operation: 98-94=4
Exploring Operation: 94-46=48, Resulting Numbers: [98, 48]
Generated Node #0,0,4: 92:[98, 48] Operation: 94-46=48
Moving to Node #0,2
Current State: 92:[94, 28, 24], Operations: ['98-74=24']
Exploring Operation: 94-24=70, Resulting Numbers: [28, 70]
Generated Node #0,2,0: 92:[28, 70] Operation: 94-24=70
Exploring Operation: 28-24=4, Resulting Numbers: [94, 4]
Generated Node #0,2,1: 92:[94, 4] Operation: 28-24=4
Exploring Operation: 94+28=122, Resulting Numbers: [24, 122]
Generated Node #0,2,2: 92:[24, 122] Operation: 94+28=122
Exploring Operation: 28+24=52, Resulting Numbers: [94, 52]
Generated Node #0,2,3: 92:[94, 52] Operation: 28+24=52
Exploring Operation: 94-28=66, Resulting Numbers: [24, 66]
Generated Node #0,2,4: 92:[24, 66] Operation: 94-28=66
Moving to Node #0,3
Current State: 92:[98, 28, 20], Operations: ['94-74=20']
Exploring Operation: 98+20=118, Resulting Numbers: [28, 118]
Generated Node #0,3,0: 92:[28, 118] Operation: 98+20=118
Exploring Operation: 28+20=48, Resulting Numbers: [98, 48]
Generated Node #0,3,1: 92:[98, 48] Operation: 28+20=48
Exploring Operation: 98-28=70, Resulting Numbers: [20, 70]
Generated Node #0,3,2: 92:[20, 70] Operation: 98-28=70
Exploring Operation: 98-20=78, Resulting Numbers: [28, 78]
Generated Node #0,3,3: 92:[28, 78] Operation: 98-20=78
Exploring Operation: 28-20=8, Resulting Numbers: [98, 8]
Generated Node #0,3,4: 92:[98, 8] Operation: 28-20=8
Moving to Node #0,4
Current State: 92:[98, 94, 102], Operations: ['74+28=102']
Exploring Operation: 102-94=8, Resulting Numbers: [98, 8]
Generated Node #0,4,0: 92:[98, 8] Operation: 102-94=8
Exploring Operation: 98-94=4, Resulting Numbers: [102, 4]
Generated Node #0,4,1: 92:[102, 4] Operation: 98-94=4
Exploring Operation: 102-98=4, Resulting Numbers: [94, 4]
Generated Node #0,4,2: 92:[94, 4] Operation: 102-98=4
Exploring Operation: 98+94=192, Resulting Numbers: [102, 192]
Generated Node #0,4,3: 92:[102, 192] Operation: 98+94=192
Exploring Operation: 98+102=200, Resulting Numbers: [94, 200]
Generated Node #0,4,4: 92:[94, 200] Operation: 98+102=200
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 92:[94, 4], Operations: ['74+28=102', '102-98=4']
Exploring Operation: 94-4=90, Resulting Numbers: [90]
90,92 unequal: No Solution
Exploring Operation: 94*4=376, Resulting Numbers: [376]
376,92 unequal: No Solution
Exploring Operation: 94+4=98, Resulting Numbers: [98]
98,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 92:[98, 8], Operations: ['74+28=102', '102-94=8']
Exploring Operation: 98+8=106, Resulting Numbers: [106]
106,92 unequal: No Solution
Exploring Operation: 98-8=90, Resulting Numbers: [90]
90,92 unequal: No Solution
Exploring Operation: 98*8=784, Resulting Numbers: [784]
784,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 92:[102, 4], Operations: ['74+28=102', '98-94=4']
Exploring Operation: 102+4=106, Resulting Numbers: [106]
106,92 unequal: No Solution
Exploring Operation: 102*4=408, Resulting Numbers: [408]
408,92 unequal: No Solution
Exploring Operation: 102-4=98, Resulting Numbers: [98]
98,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 92:[102, 192], Operations: ['74+28=102', '98+94=192']
Exploring Operation: 102+192=294, Resulting Numbers: [294]
294,92 unequal: No Solution
Exploring Operation: 102*192=19584, Resulting Numbers: [19584]
19584,92 unequal: No Solution
Exploring Operation: 192-102=90, Resulting Numbers: [90]
90,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 92:[94, 200], Operations: ['74+28=102', '98+102=200']
Exploring Operation: 94+200=294, Resulting Numbers: [294]
294,92 unequal: No Solution
Exploring Operation: 94*200=18800, Resulting Numbers: [18800]
18800,92 unequal: No Solution
Exploring Operation: 200-94=106, Resulting Numbers: [106]
106,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 92:[74, 28, 4], Operations: ['98-94=4']
Exploring Operation: 28/4=7, Resulting Numbers: [74, 7]
Generated Node #0,1,0: 92:[74, 7] Operation: 28/4=7
Exploring Operation: 74+28=102, Resulting Numbers: [4, 102]
Generated Node #0,1,1: 92:[4, 102] Operation: 74+28=102
Exploring Operation: 74+4=78, Resulting Numbers: [28, 78]
Generated Node #0,1,2: 92:[28, 78] Operation: 74+4=78
Exploring Operation: 74-28=46, Resulting Numbers: [4, 46]
Generated Node #0,1,3: 92:[4, 46] Operation: 74-28=46
Exploring Operation: 28-4=24, Resulting Numbers: [74, 24]
Generated Node #0,1,4: 92:[74, 24] Operation: 28-4=24
Moving to Node #0,0,3
Current State: 92:[46, 4], Operations: ['74-28=46', '98-94=4']
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,92 unequal: No Solution
Exploring Operation: 46+4=50, Resulting Numbers: [50]
50,92 unequal: No Solution
Exploring Operation: 46*4=184, Resulting Numbers: [184]
184,92 unequal: No Solution
Moving to Node #0,1,3
Current State: 92:[4, 46], Operations: ['98-94=4', '74-28=46']
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,92 unequal: No Solution
Exploring Operation: 4+46=50, Resulting Numbers: [50]
50,92 unequal: No Solution
Exploring Operation: 4*46=184, Resulting Numbers: [184]
184,92 unequal: No Solution
Moving to Node #0,2,1
Current State: 92:[94, 4], Operations: ['98-74=24', '28-24=4']
Exploring Operation: 94+4=98, Resulting Numbers: [98]
98,92 unequal: No Solution
Exploring Operation: 94-4=90, Resulting Numbers: [90]
90,92 unequal: No Solution
Exploring Operation: 94*4=376, Resulting Numbers: [376]
376,92 unequal: No Solution
Moving to Node #0,2,3
Current State: 92:[94, 52], Operations: ['98-74=24', '28+24=52']
Exploring Operation: 94-52=42, Resulting Numbers: [42]
42,92 unequal: No Solution
Exploring Operation: 94+52=146, Resulting Numbers: [146]
146,92 unequal: No Solution
Exploring Operation: 94*52=4888, Resulting Numbers: [4888]
4888,92 unequal: No Solution
Moving to Node #0,0,4
Current State: 92:[98, 48], Operations: ['74-28=46', '94-46=48']
Exploring Operation: 98+48=146, Resulting Numbers: [146]
146,92 unequal: No Solution
Exploring Operation: 98*48=4704, Resulting Numbers: [4704]
4704,92 unequal: No Solution
Exploring Operation: 98-48=50, Resulting Numbers: [50]
50,92 unequal: No Solution
Moving to Node #0,3,1
Current State: 92:[98, 48], Operations: ['94-74=20', '28+20=48']
Exploring Operation: 98*48=4704, Resulting Numbers: [4704]
4704,92 unequal: No Solution
Exploring Operation: 98-48=50, Resulting Numbers: [50]
50,92 unequal: No Solution
Exploring Operation: 98+48=146, Resulting Numbers: [146]
146,92 unequal: No Solution
Moving to Node #0,0,1
Current State: 92:[94, 52], Operations: ['74-28=46', '98-46=52']
Exploring Operation: 94-52=42, Resulting Numbers: [42]
42,92 unequal: No Solution
Exploring Operation: 94+52=146, Resulting Numbers: [146]
146,92 unequal: No Solution
Exploring Operation: 94*52=4888, Resulting Numbers: [4888]
4888,92 unequal: No Solution
Moving to Node #0,3,4
Current State: 92:[98, 8], Operations: ['94-74=20', '28-20=8']
Exploring Operation: 98*8=784, Resulting Numbers: [784]
784,92 unequal: No Solution
Exploring Operation: 98+8=106, Resulting Numbers: [106]
106,92 unequal: No Solution
Exploring Operation: 98-8=90, Resulting Numbers: [90]
90,92 unequal: No Solution
Moving to Node #0,1,1
Current State: 92:[4, 102], Operations: ['98-94=4', '74+28=102']
Exploring Operation: 102-4=98, Resulting Numbers: [98]
98,92 unequal: No Solution
Exploring Operation: 4+102=106, Resulting Numbers: [106]
106,92 unequal: No Solution
Exploring Operation: 4*102=408, Resulting Numbers: [408]
408,92 unequal: No Solution
Moving to Node #0,1,4
Current State: 92:[74, 24], Operations: ['98-94=4', '28-4=24']
Exploring Operation: 74*24=1776, Resulting Numbers: [1776]
1776,92 unequal: No Solution
Exploring Operation: 74+24=98, Resulting Numbers: [98]
98,92 unequal: No Solution
Exploring Operation: 74-24=50, Resulting Numbers: [50]
50,92 unequal: No Solution
Moving to Node #0,3,3
Current State: 92:[28, 78], Operations: ['94-74=20', '98-20=78']
Exploring Operation: 28*78=2184, Resulting Numbers: [2184]
2184,92 unequal: No Solution
Exploring Operation: 78-28=50, Resulting Numbers: [50]
50,92 unequal: No Solution
Exploring Operation: 28+78=106, Resulting Numbers: [106]
106,92 unequal: No Solution
Moving to Node #0,1,2
Current State: 92:[28, 78], Operations: ['98-94=4', '74+4=78']
Exploring Operation: 28+78=106, Resulting Numbers: [106]
106,92 unequal: No Solution
Exploring Operation: 28*78=2184, Resulting Numbers: [2184]
2184,92 unequal: No Solution
Exploring Operation: 78-28=50, Resulting Numbers: [50]
50,92 unequal: No Solution
Moving to Node #0,1,0
Current State: 92:[74, 7], Operations: ['98-94=4', '28/4=7']
Exploring Operation: 74+7=81, Resulting Numbers: [81]
81,92 unequal: No Solution
Exploring Operation: 74-7=67, Resulting Numbers: [67]
67,92 unequal: No Solution
Exploring Operation: 74*7=518, Resulting Numbers: [518]
518,92 unequal: No Solution
Moving to Node #0,2,4
Current State: 92:[24, 66], Operations: ['98-74=24', '94-28=66']
Exploring Operation: 66-24=42, Resulting Numbers: [42]
42,92 unequal: No Solution
Exploring Operation: 24+66=90, Resulting Numbers: [90]
90,92 unequal: No Solution
Exploring Operation: 24*66=1584, Resulting Numbers: [1584]
1584,92 unequal: No Solution
Moving to Node #0,3,2
Current State: 92:[20, 70], Operations: ['94-74=20', '98-28=70']
Exploring Operation: 20+70=90, Resulting Numbers: [90]
90,92 unequal: No Solution
Exploring Operation: 70-20=50, Resulting Numbers: [50]
50,92 unequal: No Solution
Exploring Operation: 20*70=1400, Resulting Numbers: [1400]
1400,92 unequal: No Solution
Moving to Node #0,2,0
Current State: 92:[28, 70], Operations: ['98-74=24', '94-24=70']
Exploring Operation: 28*70=1960, Resulting Numbers: [1960]
1960,92 unequal: No Solution
Exploring Operation: 70-28=42, Resulting Numbers: [42]
42,92 unequal: No Solution
Exploring Operation: 28+70=98, Resulting Numbers: [98]
98,92 unequal: No Solution
Moving to Node #0,2,2
Current State: 92:[24, 122], Operations: ['98-74=24', '94+28=122']
Exploring Operation: 122-24=98, Resulting Numbers: [98]
98,92 unequal: No Solution
Exploring Operation: 24+122=146, Resulting Numbers: [146]
146,92 unequal: No Solution
Exploring Operation: 24*122=2928, Resulting Numbers: [2928]
2928,92 unequal: No Solution
Moving to Node #0,3,0
Current State: 92:[28, 118], Operations: ['94-74=20', '98+20=118']
Exploring Operation: 28+118=146, Resulting Numbers: [146]
146,92 unequal: No Solution
Exploring Operation: 28*118=3304, Resulting Numbers: [3304]
3304,92 unequal: No Solution
Exploring Operation: 118-28=90, Resulting Numbers: [90]
90,92 unequal: No Solution
Moving to Node #0,0,0
Current State: 92:[98, 140], Operations: ['74-28=46', '94+46=140']
Exploring Operation: 98+140=238, Resulting Numbers: [238]
238,92 unequal: No Solution
Exploring Operation: 140-98=42, Resulting Numbers: [42]
42,92 unequal: No Solution
Exploring Operation: 98*140=13720, Resulting Numbers: [13720]
13720,92 unequal: No Solution
Moving to Node #0,0,2
Current State: 92:[94, 144], Operations: ['74-28=46', '98+46=144']
Exploring Operation: 94+144=238, Resulting Numbers: [238]
238,92 unequal: No Solution
Exploring Operation: 144-94=50, Resulting Numbers: [50]
50,92 unequal: No Solution
Exploring Operation: 94*144=13536, Resulting Numbers: [13536]
13536,92 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
22,
28,
99,
11
] | 73 | [
"22/11=2",
"99-28=71",
"2+71=73"
] | Current State: 73:[22, 28, 99, 11], Operations: []
Exploring Operation: 22/11=2, Resulting Numbers: [28, 99, 2]
Generated Node #2: [28, 99, 2] from Operation: 22/11=2
Current State: 73:[28, 99, 2], Operations: ['22/11=2']
Exploring Operation: 99-28=71, Resulting Numbers: [2, 71]
Generated Node #3: [2, 71] from Operation: 99-28=71
Current State: 73:[2, 71], Operations: ['22/11=2', '99-28=71']
Exploring Operation: 2+71=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[22, 28, 99, 11], Operations: []
Exploring Operation: 99-22=77, Resulting Numbers: [28, 11, 77]
Generated Node #0,0: 73:[28, 11, 77] Operation: 99-22=77
Exploring Operation: 22+28=50, Resulting Numbers: [99, 11, 50]
Generated Node #0,1: 73:[99, 11, 50] Operation: 22+28=50
Exploring Operation: 28+11=39, Resulting Numbers: [22, 99, 39]
Generated Node #0,2: 73:[22, 99, 39] Operation: 28+11=39
Exploring Operation: 22+11=33, Resulting Numbers: [28, 99, 33]
Generated Node #0,3: 73:[28, 99, 33] Operation: 22+11=33
Exploring Operation: 99-11=88, Resulting Numbers: [22, 28, 88]
Generated Node #0,4: 73:[22, 28, 88] Operation: 99-11=88
Moving to Node #0,0
Current State: 73:[28, 11, 77], Operations: ['99-22=77']
Exploring Operation: 77-28=49, Resulting Numbers: [11, 49]
Generated Node #0,0,0: 73:[11, 49] Operation: 77-28=49
Exploring Operation: 77-11=66, Resulting Numbers: [28, 66]
Generated Node #0,0,1: 73:[28, 66] Operation: 77-11=66
Exploring Operation: 28-11=17, Resulting Numbers: [77, 17]
Generated Node #0,0,2: 73:[77, 17] Operation: 28-11=17
Exploring Operation: 28+11=39, Resulting Numbers: [77, 39]
Generated Node #0,0,3: 73:[77, 39] Operation: 28+11=39
Exploring Operation: 11+77=88, Resulting Numbers: [28, 88]
Generated Node #0,0,4: 73:[28, 88] Operation: 11+77=88
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 73:[77, 39], Operations: ['99-22=77', '28+11=39']
Exploring Operation: 77-39=38, Resulting Numbers: [38]
38,73 unequal: No Solution
Exploring Operation: 77+39=116, Resulting Numbers: [116]
116,73 unequal: No Solution
Exploring Operation: 77*39=3003, Resulting Numbers: [3003]
3003,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 73:[28, 66], Operations: ['99-22=77', '77-11=66']
Exploring Operation: 66-28=38, Resulting Numbers: [38]
38,73 unequal: No Solution
Exploring Operation: 28*66=1848, Resulting Numbers: [1848]
1848,73 unequal: No Solution
Exploring Operation: 28+66=94, Resulting Numbers: [94]
94,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 73:[77, 17], Operations: ['99-22=77', '28-11=17']
Exploring Operation: 77+17=94, Resulting Numbers: [94]
94,73 unequal: No Solution
Exploring Operation: 77*17=1309, Resulting Numbers: [1309]
1309,73 unequal: No Solution
Exploring Operation: 77-17=60, Resulting Numbers: [60]
60,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 73:[28, 88], Operations: ['99-22=77', '11+77=88']
Exploring Operation: 88-28=60, Resulting Numbers: [60]
60,73 unequal: No Solution
Exploring Operation: 28*88=2464, Resulting Numbers: [2464]
2464,73 unequal: No Solution
Exploring Operation: 28+88=116, Resulting Numbers: [116]
116,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 73:[11, 49], Operations: ['99-22=77', '77-28=49']
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,73 unequal: No Solution
Exploring Operation: 11*49=539, Resulting Numbers: [539]
539,73 unequal: No Solution
Exploring Operation: 11+49=60, Resulting Numbers: [60]
60,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 73:[22, 99, 39], Operations: ['28+11=39']
Exploring Operation: 22+99=121, Resulting Numbers: [39, 121]
Generated Node #0,2,0: 73:[39, 121] Operation: 22+99=121
Exploring Operation: 39-22=17, Resulting Numbers: [99, 17]
Generated Node #0,2,1: 73:[99, 17] Operation: 39-22=17
Exploring Operation: 99-22=77, Resulting Numbers: [39, 77]
Generated Node #0,2,2: 73:[39, 77] Operation: 99-22=77
Exploring Operation: 22+39=61, Resulting Numbers: [99, 61]
Generated Node #0,2,3: 73:[99, 61] Operation: 22+39=61
Exploring Operation: 99-39=60, Resulting Numbers: [22, 60]
Generated Node #0,2,4: 73:[22, 60] Operation: 99-39=60
Moving to Node #0,4
Current State: 73:[22, 28, 88], Operations: ['99-11=88']
Exploring Operation: 88-28=60, Resulting Numbers: [22, 60]
Generated Node #0,4,0: 73:[22, 60] Operation: 88-28=60
Exploring Operation: 22+28=50, Resulting Numbers: [88, 50]
Generated Node #0,4,1: 73:[88, 50] Operation: 22+28=50
Exploring Operation: 88-22=66, Resulting Numbers: [28, 66]
Generated Node #0,4,2: 73:[28, 66] Operation: 88-22=66
Exploring Operation: 28-22=6, Resulting Numbers: [88, 6]
Generated Node #0,4,3: 73:[88, 6] Operation: 28-22=6
Exploring Operation: 22+88=110, Resulting Numbers: [28, 110]
Generated Node #0,4,4: 73:[28, 110] Operation: 22+88=110
Moving to Node #0,1
Current State: 73:[99, 11, 50], Operations: ['22+28=50']
Exploring Operation: 11+50=61, Resulting Numbers: [99, 61]
Generated Node #0,1,0: 73:[99, 61] Operation: 11+50=61
Exploring Operation: 50-11=39, Resulting Numbers: [99, 39]
Generated Node #0,1,1: 73:[99, 39] Operation: 50-11=39
Exploring Operation: 99-11=88, Resulting Numbers: [50, 88]
Generated Node #0,1,2: 73:[50, 88] Operation: 99-11=88
Exploring Operation: 99-50=49, Resulting Numbers: [11, 49]
Generated Node #0,1,3: 73:[11, 49] Operation: 99-50=49
Exploring Operation: 99+11=110, Resulting Numbers: [50, 110]
Generated Node #0,1,4: 73:[50, 110] Operation: 99+11=110
Moving to Node #0,3
Current State: 73:[28, 99, 33], Operations: ['22+11=33']
Exploring Operation: 99-33=66, Resulting Numbers: [28, 66]
Generated Node #0,3,0: 73:[28, 66] Operation: 99-33=66
Exploring Operation: 28+33=61, Resulting Numbers: [99, 61]
Generated Node #0,3,1: 73:[99, 61] Operation: 28+33=61
Exploring Operation: 99-28=71, Resulting Numbers: [33, 71]
Generated Node #0,3,2: 73:[33, 71] Operation: 99-28=71
Exploring Operation: 28+99=127, Resulting Numbers: [33, 127]
Generated Node #0,3,3: 73:[33, 127] Operation: 28+99=127
Exploring Operation: 33-28=5, Resulting Numbers: [99, 5]
Generated Node #0,3,4: 73:[99, 5] Operation: 33-28=5
Moving to Node #0,2,2
Current State: 73:[39, 77], Operations: ['28+11=39', '99-22=77']
Exploring Operation: 39*77=3003, Resulting Numbers: [3003]
3003,73 unequal: No Solution
Exploring Operation: 77-39=38, Resulting Numbers: [38]
38,73 unequal: No Solution
Exploring Operation: 39+77=116, Resulting Numbers: [116]
116,73 unequal: No Solution
Moving to Node #0,4,1
Current State: 73:[88, 50], Operations: ['99-11=88', '22+28=50']
Exploring Operation: 88+50=138, Resulting Numbers: [138]
138,73 unequal: No Solution
Exploring Operation: 88*50=4400, Resulting Numbers: [4400]
4400,73 unequal: No Solution
Exploring Operation: 88-50=38, Resulting Numbers: [38]
38,73 unequal: No Solution
Moving to Node #0,1,2
Current State: 73:[50, 88], Operations: ['22+28=50', '99-11=88']
Exploring Operation: 50+88=138, Resulting Numbers: [138]
138,73 unequal: No Solution
Exploring Operation: 88-50=38, Resulting Numbers: [38]
38,73 unequal: No Solution
Exploring Operation: 50*88=4400, Resulting Numbers: [4400]
4400,73 unequal: No Solution
Moving to Node #0,2,3
Current State: 73:[99, 61], Operations: ['28+11=39', '22+39=61']
Exploring Operation: 99-61=38, Resulting Numbers: [38]
38,73 unequal: No Solution
Exploring Operation: 99+61=160, Resulting Numbers: [160]
160,73 unequal: No Solution
Exploring Operation: 99*61=6039, Resulting Numbers: [6039]
6039,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[99, 61], Operations: ['22+28=50', '11+50=61']
Exploring Operation: 99-61=38, Resulting Numbers: [38]
38,73 unequal: No Solution
Exploring Operation: 99*61=6039, Resulting Numbers: [6039]
6039,73 unequal: No Solution
Exploring Operation: 99+61=160, Resulting Numbers: [160]
160,73 unequal: No Solution
Moving to Node #0,3,1
Current State: 73:[99, 61], Operations: ['22+11=33', '28+33=61']
Exploring Operation: 99-61=38, Resulting Numbers: [38]
38,73 unequal: No Solution
Exploring Operation: 99+61=160, Resulting Numbers: [160]
160,73 unequal: No Solution
Exploring Operation: 99*61=6039, Resulting Numbers: [6039]
6039,73 unequal: No Solution
Moving to Node #0,3,2
Current State: 73:[33, 71], Operations: ['22+11=33', '99-28=71']
Exploring Operation: 33*71=2343, Resulting Numbers: [2343]
2343,73 unequal: No Solution
Exploring Operation: 33+71=104, Resulting Numbers: [104]
104,73 unequal: No Solution
Exploring Operation: 71-33=38, Resulting Numbers: [38]
38,73 unequal: No Solution
Moving to Node #0,4,2
Current State: 73:[28, 66], Operations: ['99-11=88', '88-22=66']
Exploring Operation: 28*66=1848, Resulting Numbers: [1848]
1848,73 unequal: No Solution
Exploring Operation: 66-28=38, Resulting Numbers: [38]
38,73 unequal: No Solution
Exploring Operation: 28+66=94, Resulting Numbers: [94]
94,73 unequal: No Solution
Moving to Node #0,3,0
Current State: 73:[28, 66], Operations: ['22+11=33', '99-33=66']
Exploring Operation: 28*66=1848, Resulting Numbers: [1848]
1848,73 unequal: No Solution
Exploring Operation: 66-28=38, Resulting Numbers: [38]
38,73 unequal: No Solution
Exploring Operation: 28+66=94, Resulting Numbers: [94]
94,73 unequal: No Solution
Moving to Node #0,1,4
Current State: 73:[50, 110], Operations: ['22+28=50', '99+11=110']
Exploring Operation: 50+110=160, Resulting Numbers: [160]
160,73 unequal: No Solution
Exploring Operation: 110-50=60, Resulting Numbers: [60]
60,73 unequal: No Solution
Exploring Operation: 50*110=5500, Resulting Numbers: [5500]
5500,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[99, 39], Operations: ['22+28=50', '50-11=39']
Exploring Operation: 99+39=138, Resulting Numbers: [138]
138,73 unequal: No Solution
Exploring Operation: 99-39=60, Resulting Numbers: [60]
60,73 unequal: No Solution
Exploring Operation: 99*39=3861, Resulting Numbers: [3861]
3861,73 unequal: No Solution
Moving to Node #0,2,4
Current State: 73:[22, 60], Operations: ['28+11=39', '99-39=60']
Exploring Operation: 60-22=38, Resulting Numbers: [38]
38,73 unequal: No Solution
Exploring Operation: 22+60=82, Resulting Numbers: [82]
82,73 unequal: No Solution
Exploring Operation: 22*60=1320, Resulting Numbers: [1320]
1320,73 unequal: No Solution
Moving to Node #0,4,0
Current State: 73:[22, 60], Operations: ['99-11=88', '88-28=60']
Exploring Operation: 22*60=1320, Resulting Numbers: [1320]
1320,73 unequal: No Solution
Exploring Operation: 22+60=82, Resulting Numbers: [82]
82,73 unequal: No Solution
Exploring Operation: 60-22=38, Resulting Numbers: [38]
38,73 unequal: No Solution
Moving to Node #0,4,3
Current State: 73:[88, 6], Operations: ['99-11=88', '28-22=6']
Exploring Operation: 88+6=94, Resulting Numbers: [94]
94,73 unequal: No Solution
Exploring Operation: 88-6=82, Resulting Numbers: [82]
82,73 unequal: No Solution
Exploring Operation: 88*6=528, Resulting Numbers: [528]
528,73 unequal: No Solution
Moving to Node #0,4,4
Current State: 73:[28, 110], Operations: ['99-11=88', '22+88=110']
Exploring Operation: 110-28=82, Resulting Numbers: [82]
82,73 unequal: No Solution
Exploring Operation: 28+110=138, Resulting Numbers: [138]
138,73 unequal: No Solution
Exploring Operation: 28*110=3080, Resulting Numbers: [3080]
3080,73 unequal: No Solution
Moving to Node #0,2,1
Current State: 73:[99, 17], Operations: ['28+11=39', '39-22=17']
Exploring Operation: 99*17=1683, Resulting Numbers: [1683]
1683,73 unequal: No Solution
Exploring Operation: 99-17=82, Resulting Numbers: [82]
82,73 unequal: No Solution
Exploring Operation: 99+17=116, Resulting Numbers: [116]
116,73 unequal: No Solution
Moving to Node #0,2,0
Current State: 73:[39, 121], Operations: ['28+11=39', '22+99=121']
Exploring Operation: 39+121=160, Resulting Numbers: [160]
160,73 unequal: No Solution
Exploring Operation: 39*121=4719, Resulting Numbers: [4719]
4719,73 unequal: No Solution
Exploring Operation: 121-39=82, Resulting Numbers: [82]
82,73 unequal: No Solution
Moving to Node #0,1,3
Current State: 73:[11, 49], Operations: ['22+28=50', '99-50=49']
Exploring Operation: 11*49=539, Resulting Numbers: [539]
539,73 unequal: No Solution
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,73 unequal: No Solution
Exploring Operation: 11+49=60, Resulting Numbers: [60]
60,73 unequal: No Solution
Moving to Node #0,3,3
Current State: 73:[33, 127], Operations: ['22+11=33', '28+99=127']
Exploring Operation: 33*127=4191, Resulting Numbers: [4191]
4191,73 unequal: No Solution
Exploring Operation: 33+127=160, Resulting Numbers: [160]
160,73 unequal: No Solution
Exploring Operation: 127-33=94, Resulting Numbers: [94]
94,73 unequal: No Solution
Moving to Node #0,3,4
Current State: 73:[99, 5], Operations: ['22+11=33', '33-28=5']
Exploring Operation: 99-5=94, Resulting Numbers: [94]
94,73 unequal: No Solution
Exploring Operation: 99*5=495, Resulting Numbers: [495]
495,73 unequal: No Solution
Exploring Operation: 99+5=104, Resulting Numbers: [104]
104,73 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
58,
65,
72,
21
] | 44 | [
"65-58=7",
"72-21=51",
"51-7=44"
] | Current State: 44:[58, 65, 72, 21], Operations: []
Exploring Operation: 65-58=7, Resulting Numbers: [72, 21, 7]
Generated Node #2: [72, 21, 7] from Operation: 65-58=7
Current State: 44:[72, 21, 7], Operations: ['65-58=7']
Exploring Operation: 72-21=51, Resulting Numbers: [7, 51]
Generated Node #3: [7, 51] from Operation: 72-21=51
Current State: 44:[7, 51], Operations: ['65-58=7', '72-21=51']
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[58, 65, 72, 21], Operations: []
Exploring Operation: 72-58=14, Resulting Numbers: [65, 21, 14]
Generated Node #0,0: 44:[65, 21, 14] Operation: 72-58=14
Exploring Operation: 65-58=7, Resulting Numbers: [72, 21, 7]
Generated Node #0,1: 44:[72, 21, 7] Operation: 65-58=7
Exploring Operation: 65-21=44, Resulting Numbers: [58, 72, 44]
Generated Node #0,2: 44:[58, 72, 44] Operation: 65-21=44
Exploring Operation: 72-65=7, Resulting Numbers: [58, 21, 7]
Generated Node #0,3: 44:[58, 21, 7] Operation: 72-65=7
Moving to Node #0,3
Current State: 44:[58, 21, 7], Operations: ['72-65=7']
Exploring Operation: 58-21=37, Resulting Numbers: [7, 37]
Generated Node #0,3,0: 44:[7, 37] Operation: 58-21=37
Exploring Operation: 21-7=14, Resulting Numbers: [58, 14]
Generated Node #0,3,1: 44:[58, 14] Operation: 21-7=14
Exploring Operation: 21/7=3, Resulting Numbers: [58, 3]
Generated Node #0,3,2: 44:[58, 3] Operation: 21/7=3
Exploring Operation: 58-7=51, Resulting Numbers: [21, 51]
Generated Node #0,3,3: 44:[21, 51] Operation: 58-7=51
Moving to Node #0,0
Current State: 44:[65, 21, 14], Operations: ['72-58=14']
Exploring Operation: 65-14=51, Resulting Numbers: [21, 51]
Generated Node #0,0,0: 44:[21, 51] Operation: 65-14=51
Exploring Operation: 21-14=7, Resulting Numbers: [65, 7]
Generated Node #0,0,1: 44:[65, 7] Operation: 21-14=7
Exploring Operation: 21+14=35, Resulting Numbers: [65, 35]
Generated Node #0,0,2: 44:[65, 35] Operation: 21+14=35
Exploring Operation: 65-21=44, Resulting Numbers: [14, 44]
Generated Node #0,0,3: 44:[14, 44] Operation: 65-21=44
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 44:[14, 44], Operations: ['72-58=14', '65-21=44']
Exploring Operation: 44-14=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Exploring Operation: 14*44=616, Resulting Numbers: [616]
616,44 unequal: No Solution
Exploring Operation: 14+44=58, Resulting Numbers: [58]
58,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 44:[21, 51], Operations: ['72-58=14', '65-14=51']
Exploring Operation: 21*51=1071, Resulting Numbers: [1071]
1071,44 unequal: No Solution
Exploring Operation: 21+51=72, Resulting Numbers: [72]
72,44 unequal: No Solution
Exploring Operation: 51-21=30, Resulting Numbers: [30]
30,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 44:[65, 7], Operations: ['72-58=14', '21-14=7']
Exploring Operation: 65+7=72, Resulting Numbers: [72]
72,44 unequal: No Solution
Exploring Operation: 65*7=455, Resulting Numbers: [455]
455,44 unequal: No Solution
Exploring Operation: 65-7=58, Resulting Numbers: [58]
58,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 44:[65, 35], Operations: ['72-58=14', '21+14=35']
Exploring Operation: 65+35=100, Resulting Numbers: [100]
100,44 unequal: No Solution
Exploring Operation: 65*35=2275, Resulting Numbers: [2275]
2275,44 unequal: No Solution
Exploring Operation: 65-35=30, Resulting Numbers: [30]
30,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 44:[72, 21, 7], Operations: ['65-58=7']
Exploring Operation: 21/7=3, Resulting Numbers: [72, 3]
Generated Node #0,1,0: 44:[72, 3] Operation: 21/7=3
Exploring Operation: 72-7=65, Resulting Numbers: [21, 65]
Generated Node #0,1,1: 44:[21, 65] Operation: 72-7=65
Exploring Operation: 21-7=14, Resulting Numbers: [72, 14]
Generated Node #0,1,2: 44:[72, 14] Operation: 21-7=14
Exploring Operation: 72-21=51, Resulting Numbers: [7, 51]
Generated Node #0,1,3: 44:[7, 51] Operation: 72-21=51
Moving to Node #0,2
Current State: 44:[58, 72, 44], Operations: ['65-21=44']
Exploring Operation: 72-58=14, Resulting Numbers: [44, 14]
Generated Node #0,2,0: 44:[44, 14] Operation: 72-58=14
Exploring Operation: 72-44=28, Resulting Numbers: [58, 28]
Generated Node #0,2,1: 44:[58, 28] Operation: 72-44=28
Exploring Operation: 58+72=130, Resulting Numbers: [44, 130]
Generated Node #0,2,2: 44:[44, 130] Operation: 58+72=130
Exploring Operation: 58-44=14, Resulting Numbers: [72, 14]
Generated Node #0,2,3: 44:[72, 14] Operation: 58-44=14
Moving to Node #0,2,0
Current State: 44:[44, 14], Operations: ['65-21=44', '72-58=14']
Exploring Operation: 44+14=58, Resulting Numbers: [58]
58,44 unequal: No Solution
Exploring Operation: 44-14=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Exploring Operation: 44*14=616, Resulting Numbers: [616]
616,44 unequal: No Solution
Moving to Node #0,3,3
Current State: 44:[21, 51], Operations: ['72-65=7', '58-7=51']
Exploring Operation: 21+51=72, Resulting Numbers: [72]
72,44 unequal: No Solution
Exploring Operation: 21*51=1071, Resulting Numbers: [1071]
1071,44 unequal: No Solution
Exploring Operation: 51-21=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Moving to Node #0,1,3
Current State: 44:[7, 51], Operations: ['65-58=7', '72-21=51']
Exploring Operation: 7+51=58, Resulting Numbers: [58]
58,44 unequal: No Solution
Exploring Operation: 7*51=357, Resulting Numbers: [357]
357,44 unequal: No Solution
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[58, 65, 72, 21], Operations: []
Exploring Operation: 65-58=7, Resulting Numbers: [72, 21, 7]
Generated Node #0,1: 44:[72, 21, 7] Operation: 65-58=7
Moving to Node #0,1
Current State: 44:[72, 21, 7], Operations: ['65-58=7']
Exploring Operation: 72-21=51, Resulting Numbers: [7, 51]
Generated Node #0,1,3: 44:[7, 51] Operation: 72-21=51
Moving to Node #0,1,3
Current State: 44:[7, 51], Operations: ['65-58=7', '72-21=51']
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 0.960938 | hs_4 | mult_heuristic |
[
2,
94,
30,
44
] | 84 | [
"94+30=124",
"44+124=168",
"168/2=84"
] | Current State: 84:[2, 94, 30, 44], Operations: []
Exploring Operation: 94+30=124, Resulting Numbers: [2, 44, 124]
Generated Node #2: [2, 44, 124] from Operation: 94+30=124
Current State: 84:[2, 44, 124], Operations: ['94+30=124']
Exploring Operation: 44+124=168, Resulting Numbers: [2, 168]
Generated Node #3: [2, 168] from Operation: 44+124=168
Current State: 84:[2, 168], Operations: ['94+30=124', '44+124=168']
Exploring Operation: 168/2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[2, 94, 30, 44], Operations: []
Exploring Operation: 94/2=47, Resulting Numbers: [30, 44, 47]
Generated Node #0,0: 84:[30, 44, 47] Operation: 94/2=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[30, 44, 47], Operations: ['94/2=47']
Exploring Operation: 47-44=3, Resulting Numbers: [30, 3]
Generated Node #0,0,0: 84:[30, 3] Operation: 47-44=3
Moving to Node #0,0,0
Current State: 84:[30, 3], Operations: ['94/2=47', '47-44=3']
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,84 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 |
[
16,
41,
22,
68
] | 33 | [
"16+41=57",
"22+68=90",
"90-57=33"
] | Current State: 33:[16, 41, 22, 68], Operations: []
Exploring Operation: 16+41=57, Resulting Numbers: [22, 68, 57]
Generated Node #2: [22, 68, 57] from Operation: 16+41=57
Current State: 33:[22, 68, 57], Operations: ['16+41=57']
Exploring Operation: 22+68=90, Resulting Numbers: [57, 90]
Generated Node #3: [57, 90] from Operation: 22+68=90
Current State: 33:[57, 90], Operations: ['16+41=57', '22+68=90']
Exploring Operation: 90-57=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[16, 41, 22, 68], Operations: []
Exploring Operation: 68-22=46, Resulting Numbers: [16, 41, 46]
Generated Node #0,0: 33:[16, 41, 46] Operation: 68-22=46
Exploring Operation: 68-16=52, Resulting Numbers: [41, 22, 52]
Generated Node #0,1: 33:[41, 22, 52] Operation: 68-16=52
Exploring Operation: 68-41=27, Resulting Numbers: [16, 22, 27]
Generated Node #0,2: 33:[16, 22, 27] Operation: 68-41=27
Moving to Node #0,2
Current State: 33:[16, 22, 27], Operations: ['68-41=27']
Exploring Operation: 16+22=38, Resulting Numbers: [27, 38]
Generated Node #0,2,0: 33:[27, 38] Operation: 16+22=38
Exploring Operation: 27-22=5, Resulting Numbers: [16, 5]
Generated Node #0,2,1: 33:[16, 5] Operation: 27-22=5
Exploring Operation: 22-16=6, Resulting Numbers: [27, 6]
Generated Node #0,2,2: 33:[27, 6] Operation: 22-16=6
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 33:[16, 5], Operations: ['68-41=27', '27-22=5']
Exploring Operation: 16*5=80, Resulting Numbers: [80]
80,33 unequal: No Solution
Exploring Operation: 16+5=21, Resulting Numbers: [21]
21,33 unequal: No Solution
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 33:[27, 6], Operations: ['68-41=27', '22-16=6']
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,33 unequal: No Solution
Exploring Operation: 27*6=162, Resulting Numbers: [162]
162,33 unequal: No Solution
Exploring Operation: 27+6=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[16, 41, 22, 68], Operations: []
Exploring Operation: 68-41=27, Resulting Numbers: [16, 22, 27]
Generated Node #0,2: 33:[16, 22, 27] Operation: 68-41=27
Moving to Node #0,2
Current State: 33:[16, 22, 27], Operations: ['68-41=27']
Exploring Operation: 22-16=6, Resulting Numbers: [27, 6]
Generated Node #0,2,2: 33:[27, 6] Operation: 22-16=6
Moving to Node #0,2,2
Current State: 33:[27, 6], Operations: ['68-41=27', '22-16=6']
Exploring Operation: 27+6=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | sum_heuristic |
[
1,
56,
4,
78
] | 25 | [
"1+56=57",
"4+78=82",
"82-57=25"
] | Current State: 25:[1, 56, 4, 78], Operations: []
Exploring Operation: 1+56=57, Resulting Numbers: [4, 78, 57]
Generated Node #2: [4, 78, 57] from Operation: 1+56=57
Current State: 25:[4, 78, 57], Operations: ['1+56=57']
Exploring Operation: 4+78=82, Resulting Numbers: [57, 82]
Generated Node #3: [57, 82] from Operation: 4+78=82
Current State: 25:[57, 82], Operations: ['1+56=57', '4+78=82']
Exploring Operation: 82-57=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[1, 56, 4, 78], Operations: []
Exploring Operation: 78-56=22, Resulting Numbers: [1, 4, 22]
Generated Node #0,0: 25:[1, 4, 22] Operation: 78-56=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[1, 4, 22], Operations: ['78-56=22']
Exploring Operation: 1+4=5, Resulting Numbers: [22, 5]
Generated Node #0,0,0: 25:[22, 5] Operation: 1+4=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 25:[22, 5], Operations: ['78-56=22', '1+4=5']
Exploring Operation: 22+5=27, Resulting Numbers: [27]
27,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
14,
8,
22,
71
] | 87 | [
"14-8=6",
"22+71=93",
"93-6=87"
] | Current State: 87:[14, 8, 22, 71], Operations: []
Exploring Operation: 14-8=6, Resulting Numbers: [22, 71, 6]
Generated Node #2: [22, 71, 6] from Operation: 14-8=6
Current State: 87:[22, 71, 6], Operations: ['14-8=6']
Exploring Operation: 22+71=93, Resulting Numbers: [6, 93]
Generated Node #3: [6, 93] from Operation: 22+71=93
Current State: 87:[6, 93], Operations: ['14-8=6', '22+71=93']
Exploring Operation: 93-6=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[14, 8, 22, 71], Operations: []
Exploring Operation: 22+71=93, Resulting Numbers: [14, 8, 93]
Generated Node #0,0: 87:[14, 8, 93] Operation: 22+71=93
Exploring Operation: 14-8=6, Resulting Numbers: [22, 71, 6]
Generated Node #0,1: 87:[22, 71, 6] Operation: 14-8=6
Exploring Operation: 14+71=85, Resulting Numbers: [8, 22, 85]
Generated Node #0,2: 87:[8, 22, 85] Operation: 14+71=85
Exploring Operation: 22-14=8, Resulting Numbers: [8, 71, 8]
Generated Node #0,3: 87:[8, 71, 8] Operation: 22-14=8
Moving to Node #0,2
Current State: 87:[8, 22, 85], Operations: ['14+71=85']
Exploring Operation: 8+85=93, Resulting Numbers: [22, 93]
Generated Node #0,2,0: 87:[22, 93] Operation: 8+85=93
Exploring Operation: 8+22=30, Resulting Numbers: [85, 30]
Generated Node #0,2,1: 87:[85, 30] Operation: 8+22=30
Exploring Operation: 85-8=77, Resulting Numbers: [22, 77]
Generated Node #0,2,2: 87:[22, 77] Operation: 85-8=77
Exploring Operation: 22-8=14, Resulting Numbers: [85, 14]
Generated Node #0,2,3: 87:[85, 14] Operation: 22-8=14
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 87:[85, 30], Operations: ['14+71=85', '8+22=30']
Exploring Operation: 85+30=115, Resulting Numbers: [115]
115,87 unequal: No Solution
Exploring Operation: 85*30=2550, Resulting Numbers: [2550]
2550,87 unequal: No Solution
Exploring Operation: 85-30=55, Resulting Numbers: [55]
55,87 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 #0,2,0
Current State: 87:[22, 93], Operations: ['14+71=85', '8+85=93']
Exploring Operation: 22*93=2046, Resulting Numbers: [2046]
2046,87 unequal: No Solution
Exploring Operation: 22+93=115, Resulting Numbers: [115]
115,87 unequal: No Solution
Exploring Operation: 93-22=71, Resulting Numbers: [71]
71,87 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 #0,2,3
Current State: 87:[85, 14], Operations: ['14+71=85', '22-8=14']
Exploring Operation: 85-14=71, Resulting Numbers: [71]
71,87 unequal: No Solution
Exploring Operation: 85+14=99, Resulting Numbers: [99]
99,87 unequal: No Solution
Exploring Operation: 85*14=1190, Resulting Numbers: [1190]
1190,87 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 #0,2,2
Current State: 87:[22, 77], Operations: ['14+71=85', '85-8=77']
Exploring Operation: 77-22=55, Resulting Numbers: [55]
55,87 unequal: No Solution
Exploring Operation: 22+77=99, Resulting Numbers: [99]
99,87 unequal: No Solution
Exploring Operation: 22*77=1694, Resulting Numbers: [1694]
1694,87 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: 87:[14, 8, 93], Operations: ['22+71=93']
Exploring Operation: 14-8=6, Resulting Numbers: [93, 6]
Generated Node #0,0,0: 87:[93, 6] Operation: 14-8=6
Exploring Operation: 14+8=22, Resulting Numbers: [93, 22]
Generated Node #0,0,1: 87:[93, 22] Operation: 14+8=22
Exploring Operation: 93-8=85, Resulting Numbers: [14, 85]
Generated Node #0,0,2: 87:[14, 85] Operation: 93-8=85
Exploring Operation: 93-14=79, Resulting Numbers: [8, 79]
Generated Node #0,0,3: 87:[8, 79] Operation: 93-14=79
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 87:[93, 6], Operations: ['22+71=93', '14-8=6']
Exploring Operation: 93+6=99, Resulting Numbers: [99]
99,87 unequal: No Solution
Exploring Operation: 93*6=558, Resulting Numbers: [558]
558,87 unequal: No Solution
Exploring Operation: 93-6=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[14, 8, 22, 71], Operations: []
Exploring Operation: 22+71=93, Resulting Numbers: [14, 8, 93]
Generated Node #0,0: 87:[14, 8, 93] Operation: 22+71=93
Moving to Node #0,0
Current State: 87:[14, 8, 93], Operations: ['22+71=93']
Exploring Operation: 14-8=6, Resulting Numbers: [93, 6]
Generated Node #0,0,0: 87:[93, 6] Operation: 14-8=6
Moving to Node #0,0,0
Current State: 87:[93, 6], Operations: ['22+71=93', '14-8=6']
Exploring Operation: 93-6=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.97309 | hs_4 | mult_heuristic |
[
58,
32,
93,
84
] | 28 | [
"58+32=90",
"93-90=3",
"84/3=28"
] | Current State: 28:[58, 32, 93, 84], Operations: []
Exploring Operation: 58+32=90, Resulting Numbers: [93, 84, 90]
Generated Node #2: [93, 84, 90] from Operation: 58+32=90
Current State: 28:[93, 84, 90], Operations: ['58+32=90']
Exploring Operation: 93-90=3, Resulting Numbers: [84, 3]
Generated Node #3: [84, 3] from Operation: 93-90=3
Current State: 28:[84, 3], Operations: ['58+32=90', '93-90=3']
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[58, 32, 93, 84], Operations: []
Exploring Operation: 93-84=9, Resulting Numbers: [58, 32, 9]
Generated Node #0,0: 28:[58, 32, 9] Operation: 93-84=9
Exploring Operation: 93-58=35, Resulting Numbers: [32, 84, 35]
Generated Node #0,1: 28:[32, 84, 35] Operation: 93-58=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[58, 32, 9], Operations: ['93-84=9']
Exploring Operation: 58-32=26, Resulting Numbers: [9, 26]
Generated Node #0,0,0: 28:[9, 26] Operation: 58-32=26
Exploring Operation: 58-9=49, Resulting Numbers: [32, 49]
Generated Node #0,0,1: 28:[32, 49] Operation: 58-9=49
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 28:[9, 26], Operations: ['93-84=9', '58-32=26']
Exploring Operation: 9+26=35, Resulting Numbers: [35]
35,28 unequal: No Solution
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 28:[32, 49], Operations: ['93-84=9', '58-9=49']
Exploring Operation: 49-32=17, Resulting Numbers: [17]
17,28 unequal: No Solution
Exploring Operation: 32+49=81, Resulting Numbers: [81]
81,28 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: 28:[32, 84, 35], Operations: ['93-58=35']
Exploring Operation: 84-35=49, Resulting Numbers: [32, 49]
Generated Node #0,1,0: 28:[32, 49] Operation: 84-35=49
Exploring Operation: 84-32=52, Resulting Numbers: [35, 52]
Generated Node #0,1,1: 28:[35, 52] Operation: 84-32=52
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 28:[32, 49], Operations: ['93-58=35', '84-35=49']
Exploring Operation: 49-32=17, Resulting Numbers: [17]
17,28 unequal: No Solution
Exploring Operation: 32+49=81, Resulting Numbers: [81]
81,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 28:[35, 52], Operations: ['93-58=35', '84-32=52']
Exploring Operation: 35+52=87, Resulting Numbers: [87]
87,28 unequal: No Solution
Exploring Operation: 52-35=17, Resulting Numbers: [17]
17,28 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 |
[
76,
65,
35,
74
] | 50 | [
"76-65=11",
"74-35=39",
"11+39=50"
] | Current State: 50:[76, 65, 35, 74], Operations: []
Exploring Operation: 76-65=11, Resulting Numbers: [35, 74, 11]
Generated Node #2: [35, 74, 11] from Operation: 76-65=11
Current State: 50:[35, 74, 11], Operations: ['76-65=11']
Exploring Operation: 74-35=39, Resulting Numbers: [11, 39]
Generated Node #3: [11, 39] from Operation: 74-35=39
Current State: 50:[11, 39], Operations: ['76-65=11', '74-35=39']
Exploring Operation: 11+39=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[76, 65, 35, 74], Operations: []
Exploring Operation: 76-74=2, Resulting Numbers: [65, 35, 2]
Generated Node #0,0: 50:[65, 35, 2] Operation: 76-74=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[65, 35, 2], Operations: ['76-74=2']
Exploring Operation: 65-35=30, Resulting Numbers: [2, 30]
Generated Node #0,0,0: 50:[2, 30] Operation: 65-35=30
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 50:[2, 30], Operations: ['76-74=2', '65-35=30']
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,50 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 |
[
30,
28,
26,
58
] | 42 | [
"30-28=2",
"26+58=84",
"84/2=42"
] | Current State: 42:[30, 28, 26, 58], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [26, 58, 2]
Generated Node #2: [26, 58, 2] from Operation: 30-28=2
Current State: 42:[26, 58, 2], Operations: ['30-28=2']
Exploring Operation: 26+58=84, Resulting Numbers: [2, 84]
Generated Node #3: [2, 84] from Operation: 26+58=84
Current State: 42:[2, 84], Operations: ['30-28=2', '26+58=84']
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[30, 28, 26, 58], Operations: []
Exploring Operation: 58-30=28, Resulting Numbers: [28, 26, 28]
Generated Node #0,0: 42:[28, 26, 28] Operation: 58-30=28
Exploring Operation: 30-28=2, Resulting Numbers: [26, 58, 2]
Generated Node #0,1: 42:[26, 58, 2] Operation: 30-28=2
Exploring Operation: 28-26=2, Resulting Numbers: [30, 58, 2]
Generated Node #0,2: 42:[30, 58, 2] Operation: 28-26=2
Exploring Operation: 58-28=30, Resulting Numbers: [30, 26, 30]
Generated Node #0,3: 42:[30, 26, 30] Operation: 58-28=30
Exploring Operation: 30-26=4, Resulting Numbers: [28, 58, 4]
Generated Node #0,4: 42:[28, 58, 4] Operation: 30-26=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[28, 26, 28], Operations: ['58-30=28']
Exploring Operation: 28/28=1, Resulting Numbers: [26, 1]
Generated Node #0,0,0: 42:[26, 1] Operation: 28/28=1
Exploring Operation: 28-26=2, Resulting Numbers: [28, 2]
Generated Node #0,0,1: 42:[28, 2] Operation: 28-26=2
Exploring Operation: 28-26=2, Resulting Numbers: [28, 2]
Generated Node #0,0,2: 42:[28, 2] Operation: 28-26=2
Exploring Operation: 28+26=54, Resulting Numbers: [28, 54]
Generated Node #0,0,3: 42:[28, 54] Operation: 28+26=54
Exploring Operation: 28-28=0, Resulting Numbers: [26, 0]
Generated Node #0,0,4: 42:[26, 0] Operation: 28-28=0
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 42:[26, 1], Operations: ['58-30=28', '28/28=1']
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,42 unequal: No Solution
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,42 unequal: No Solution
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,42 unequal: No Solution
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 42:[28, 2], Operations: ['58-30=28', '28-26=2']
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,42 unequal: No Solution
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,42 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,42 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 42:[28, 2], Operations: ['58-30=28', '28-26=2']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,42 unequal: No Solution
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,42 unequal: No Solution
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,42 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 42:[26, 0], Operations: ['58-30=28', '28-28=0']
Exploring Operation: 26-0=26, Resulting Numbers: [26]
26,42 unequal: No Solution
Exploring Operation: 26+0=26, Resulting Numbers: [26]
26,42 unequal: No Solution
Exploring Operation: 26*0=0, Resulting Numbers: [0]
0,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 42:[28, 54], Operations: ['58-30=28', '28+26=54']
Exploring Operation: 28+54=82, Resulting Numbers: [82]
82,42 unequal: No Solution
Exploring Operation: 28*54=1512, Resulting Numbers: [1512]
1512,42 unequal: No Solution
Exploring Operation: 54-28=26, Resulting Numbers: [26]
26,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 42:[26, 58, 2], Operations: ['30-28=2']
Exploring Operation: 58-26=32, Resulting Numbers: [2, 32]
Generated Node #0,1,0: 42:[2, 32] Operation: 58-26=32
Exploring Operation: 26/2=13, Resulting Numbers: [58, 13]
Generated Node #0,1,1: 42:[58, 13] Operation: 26/2=13
Exploring Operation: 26-2=24, Resulting Numbers: [58, 24]
Generated Node #0,1,2: 42:[58, 24] Operation: 26-2=24
Exploring Operation: 58-2=56, Resulting Numbers: [26, 56]
Generated Node #0,1,3: 42:[26, 56] Operation: 58-2=56
Exploring Operation: 58/2=29, Resulting Numbers: [26, 29]
Generated Node #0,1,4: 42:[26, 29] Operation: 58/2=29
Moving to Node #0,1,0
Current State: 42:[2, 32], Operations: ['30-28=2', '58-26=32']
Exploring Operation: 2+32=34, Resulting Numbers: [34]
34,42 unequal: No Solution
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,42 unequal: No Solution
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,42 unequal: No Solution
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,42 unequal: No Solution
Moving to Node #0,1,4
Current State: 42:[26, 29], Operations: ['30-28=2', '58/2=29']
Exploring Operation: 29-26=3, Resulting Numbers: [3]
3,42 unequal: No Solution
Exploring Operation: 26+29=55, Resulting Numbers: [55]
55,42 unequal: No Solution
Exploring Operation: 26*29=754, Resulting Numbers: [754]
754,42 unequal: No Solution
Moving to Node #0,1,1
Current State: 42:[58, 13], Operations: ['30-28=2', '26/2=13']
Exploring Operation: 58+13=71, Resulting Numbers: [71]
71,42 unequal: No Solution
Exploring Operation: 58*13=754, Resulting Numbers: [754]
754,42 unequal: No Solution
Exploring Operation: 58-13=45, Resulting Numbers: [45]
45,42 unequal: No Solution
Moving to Node #0,1,2
Current State: 42:[58, 24], Operations: ['30-28=2', '26-2=24']
Exploring Operation: 58+24=82, Resulting Numbers: [82]
82,42 unequal: No Solution
Exploring Operation: 58-24=34, Resulting Numbers: [34]
34,42 unequal: No Solution
Exploring Operation: 58*24=1392, Resulting Numbers: [1392]
1392,42 unequal: No Solution
Moving to Node #0,1,3
Current State: 42:[26, 56], Operations: ['30-28=2', '58-2=56']
Exploring Operation: 26*56=1456, Resulting Numbers: [1456]
1456,42 unequal: No Solution
Exploring Operation: 26+56=82, Resulting Numbers: [82]
82,42 unequal: No Solution
Exploring Operation: 56-26=30, Resulting Numbers: [30]
30,42 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
Current State: 42:[30, 26, 30], Operations: ['58-28=30']
Exploring Operation: 30-26=4, Resulting Numbers: [30, 4]
Generated Node #0,3,0: 42:[30, 4] Operation: 30-26=4
Exploring Operation: 30/30=1, Resulting Numbers: [26, 1]
Generated Node #0,3,1: 42:[26, 1] Operation: 30/30=1
Exploring Operation: 30-30=0, Resulting Numbers: [26, 0]
Generated Node #0,3,2: 42:[26, 0] Operation: 30-30=0
Exploring Operation: 30-26=4, Resulting Numbers: [30, 4]
Generated Node #0,3,3: 42:[30, 4] Operation: 30-26=4
Exploring Operation: 30+26=56, Resulting Numbers: [30, 56]
Generated Node #0,3,4: 42:[30, 56] Operation: 30+26=56
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 42:[26, 1], Operations: ['58-28=30', '30/30=1']
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,42 unequal: No Solution
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,42 unequal: No Solution
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,42 unequal: No Solution
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 42:[26, 0], Operations: ['58-28=30', '30-30=0']
Exploring Operation: 26+0=26, Resulting Numbers: [26]
26,42 unequal: No Solution
Exploring Operation: 26*0=0, Resulting Numbers: [0]
0,42 unequal: No Solution
Exploring Operation: 26-0=26, Resulting Numbers: [26]
26,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 42:[30, 4], Operations: ['58-28=30', '30-26=4']
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,42 unequal: No Solution
Exploring Operation: 30+4=34, Resulting Numbers: [34]
34,42 unequal: No Solution
Exploring Operation: 30*4=120, Resulting Numbers: [120]
120,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 42:[30, 4], Operations: ['58-28=30', '30-26=4']
Exploring Operation: 30*4=120, Resulting Numbers: [120]
120,42 unequal: No Solution
Exploring Operation: 30+4=34, Resulting Numbers: [34]
34,42 unequal: No Solution
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 42:[30, 56], Operations: ['58-28=30', '30+26=56']
Exploring Operation: 30*56=1680, Resulting Numbers: [1680]
1680,42 unequal: No Solution
Exploring Operation: 56-30=26, Resulting Numbers: [26]
26,42 unequal: No Solution
Exploring Operation: 30+56=86, Resulting Numbers: [86]
86,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 42:[28, 58, 4], Operations: ['30-26=4']
Exploring Operation: 28-4=24, Resulting Numbers: [58, 24]
Generated Node #0,4,0: 42:[58, 24] Operation: 28-4=24
Exploring Operation: 28/4=7, Resulting Numbers: [58, 7]
Generated Node #0,4,1: 42:[58, 7] Operation: 28/4=7
Exploring Operation: 58-4=54, Resulting Numbers: [28, 54]
Generated Node #0,4,2: 42:[28, 54] Operation: 58-4=54
Exploring Operation: 58-28=30, Resulting Numbers: [4, 30]
Generated Node #0,4,3: 42:[4, 30] Operation: 58-28=30
Exploring Operation: 28+4=32, Resulting Numbers: [58, 32]
Generated Node #0,4,4: 42:[58, 32] Operation: 28+4=32
Moving to Node #0,4,3
Current State: 42:[4, 30], Operations: ['30-26=4', '58-28=30']
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,42 unequal: No Solution
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,42 unequal: No Solution
Exploring Operation: 4*30=120, Resulting Numbers: [120]
120,42 unequal: No Solution
Moving to Node #0,4,1
Current State: 42:[58, 7], Operations: ['30-26=4', '28/4=7']
Exploring Operation: 58+7=65, Resulting Numbers: [65]
65,42 unequal: No Solution
Exploring Operation: 58*7=406, Resulting Numbers: [406]
406,42 unequal: No Solution
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,42 unequal: No Solution
Moving to Node #0,4,0
Current State: 42:[58, 24], Operations: ['30-26=4', '28-4=24']
Exploring Operation: 58+24=82, Resulting Numbers: [82]
82,42 unequal: No Solution
Exploring Operation: 58-24=34, Resulting Numbers: [34]
34,42 unequal: No Solution
Exploring Operation: 58*24=1392, Resulting Numbers: [1392]
1392,42 unequal: No Solution
Moving to Node #0,4,2
Current State: 42:[28, 54], Operations: ['30-26=4', '58-4=54']
Exploring Operation: 54-28=26, Resulting Numbers: [26]
26,42 unequal: No Solution
Exploring Operation: 28+54=82, Resulting Numbers: [82]
82,42 unequal: No Solution
Exploring Operation: 28*54=1512, Resulting Numbers: [1512]
1512,42 unequal: No Solution
Moving to Node #0,4,4
Current State: 42:[58, 32], Operations: ['30-26=4', '28+4=32']
Exploring Operation: 58-32=26, Resulting Numbers: [26]
26,42 unequal: No Solution
Exploring Operation: 58+32=90, Resulting Numbers: [90]
90,42 unequal: No Solution
Exploring Operation: 58*32=1856, Resulting Numbers: [1856]
1856,42 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 #0,2
Current State: 42:[30, 58, 2], Operations: ['28-26=2']
Exploring Operation: 58-30=28, Resulting Numbers: [2, 28]
Generated Node #0,2,0: 42:[2, 28] Operation: 58-30=28
Exploring Operation: 30-2=28, Resulting Numbers: [58, 28]
Generated Node #0,2,1: 42:[58, 28] Operation: 30-2=28
Exploring Operation: 58/2=29, Resulting Numbers: [30, 29]
Generated Node #0,2,2: 42:[30, 29] Operation: 58/2=29
Exploring Operation: 30/2=15, Resulting Numbers: [58, 15]
Generated Node #0,2,3: 42:[58, 15] Operation: 30/2=15
Exploring Operation: 58-2=56, Resulting Numbers: [30, 56]
Generated Node #0,2,4: 42:[30, 56] Operation: 58-2=56
Moving to Node #0,2,0
Current State: 42:[2, 28], Operations: ['28-26=2', '58-30=28']
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,42 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,42 unequal: No Solution
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,42 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,42 unequal: No Solution
Moving to Node #0,2,3
Current State: 42:[58, 15], Operations: ['28-26=2', '30/2=15']
Exploring Operation: 58-15=43, Resulting Numbers: [43]
43,42 unequal: No Solution
Exploring Operation: 58*15=870, Resulting Numbers: [870]
870,42 unequal: No Solution
Exploring Operation: 58+15=73, Resulting Numbers: [73]
73,42 unequal: No Solution
Moving to Node #0,2,2
Current State: 42:[30, 29], Operations: ['28-26=2', '58/2=29']
Exploring Operation: 30*29=870, Resulting Numbers: [870]
870,42 unequal: No Solution
Exploring Operation: 30+29=59, Resulting Numbers: [59]
59,42 unequal: No Solution
Exploring Operation: 30-29=1, Resulting Numbers: [1]
1,42 unequal: No Solution
Moving to Node #0,2,1
Current State: 42:[58, 28], Operations: ['28-26=2', '30-2=28']
Exploring Operation: 58+28=86, Resulting Numbers: [86]
86,42 unequal: No Solution
Exploring Operation: 58-28=30, Resulting Numbers: [30]
30,42 unequal: No Solution
Exploring Operation: 58*28=1624, Resulting Numbers: [1624]
1624,42 unequal: No Solution
Moving to Node #0,2,4
Current State: 42:[30, 56], Operations: ['28-26=2', '58-2=56']
Exploring Operation: 30+56=86, Resulting Numbers: [86]
86,42 unequal: No Solution
Exploring Operation: 56-30=26, Resulting Numbers: [26]
26,42 unequal: No Solution
Exploring Operation: 30*56=1680, Resulting Numbers: [1680]
1680,42 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 |
[
54,
16,
22,
24
] | 84 | [
"54-16=38",
"22+24=46",
"38+46=84"
] | Current State: 84:[54, 16, 22, 24], Operations: []
Exploring Operation: 54-16=38, Resulting Numbers: [22, 24, 38]
Generated Node #2: [22, 24, 38] from Operation: 54-16=38
Current State: 84:[22, 24, 38], Operations: ['54-16=38']
Exploring Operation: 22+24=46, Resulting Numbers: [38, 46]
Generated Node #3: [38, 46] from Operation: 22+24=46
Current State: 84:[38, 46], Operations: ['54-16=38', '22+24=46']
Exploring Operation: 38+46=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[54, 16, 22, 24], Operations: []
Exploring Operation: 54+24=78, Resulting Numbers: [16, 22, 78]
Generated Node #0,0: 84:[16, 22, 78] Operation: 54+24=78
Exploring Operation: 54-24=30, Resulting Numbers: [16, 22, 30]
Generated Node #0,1: 84:[16, 22, 30] Operation: 54-24=30
Exploring Operation: 54-16=38, Resulting Numbers: [22, 24, 38]
Generated Node #0,2: 84:[22, 24, 38] Operation: 54-16=38
Exploring Operation: 54-22=32, Resulting Numbers: [16, 24, 32]
Generated Node #0,3: 84:[16, 24, 32] Operation: 54-22=32
Moving to Node #0,1
Current State: 84:[16, 22, 30], Operations: ['54-24=30']
Exploring Operation: 30-16=14, Resulting Numbers: [22, 14]
Generated Node #0,1,0: 84:[22, 14] Operation: 30-16=14
Exploring Operation: 22-16=6, Resulting Numbers: [30, 6]
Generated Node #0,1,1: 84:[30, 6] Operation: 22-16=6
Exploring Operation: 16+30=46, Resulting Numbers: [22, 46]
Generated Node #0,1,2: 84:[22, 46] Operation: 16+30=46
Exploring Operation: 30-22=8, Resulting Numbers: [16, 8]
Generated Node #0,1,3: 84:[16, 8] Operation: 30-22=8
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 84:[22, 14], Operations: ['54-24=30', '30-16=14']
Exploring Operation: 22-14=8, Resulting Numbers: [8]
8,84 unequal: No Solution
Exploring Operation: 22+14=36, Resulting Numbers: [36]
36,84 unequal: No Solution
Exploring Operation: 22*14=308, Resulting Numbers: [308]
308,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 84:[30, 6], Operations: ['54-24=30', '22-16=6']
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,84 unequal: No Solution
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,84 unequal: No Solution
Exploring Operation: 30+6=36, Resulting Numbers: [36]
36,84 unequal: No Solution
Exploring Operation: 30*6=180, Resulting Numbers: [180]
180,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 84:[16, 8], Operations: ['54-24=30', '30-22=8']
Exploring Operation: 16+8=24, Resulting Numbers: [24]
24,84 unequal: No Solution
Exploring Operation: 16/8=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Exploring Operation: 16-8=8, Resulting Numbers: [8]
8,84 unequal: No Solution
Exploring Operation: 16*8=128, Resulting Numbers: [128]
128,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 84:[22, 46], Operations: ['54-24=30', '16+30=46']
Exploring Operation: 46-22=24, Resulting Numbers: [24]
24,84 unequal: No Solution
Exploring Operation: 22+46=68, Resulting Numbers: [68]
68,84 unequal: No Solution
Exploring Operation: 22*46=1012, Resulting Numbers: [1012]
1012,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 84:[22, 24, 38], Operations: ['54-16=38']
Exploring Operation: 24-22=2, Resulting Numbers: [38, 2]
Generated Node #0,2,0: 84:[38, 2] Operation: 24-22=2
Exploring Operation: 22+24=46, Resulting Numbers: [38, 46]
Generated Node #0,2,1: 84:[38, 46] Operation: 22+24=46
Exploring Operation: 38-22=16, Resulting Numbers: [24, 16]
Generated Node #0,2,2: 84:[24, 16] Operation: 38-22=16
Exploring Operation: 38-24=14, Resulting Numbers: [22, 14]
Generated Node #0,2,3: 84:[22, 14] Operation: 38-24=14
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 84:[22, 14], Operations: ['54-16=38', '38-24=14']
Exploring Operation: 22-14=8, Resulting Numbers: [8]
8,84 unequal: No Solution
Exploring Operation: 22+14=36, Resulting Numbers: [36]
36,84 unequal: No Solution
Exploring Operation: 22*14=308, Resulting Numbers: [308]
308,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 84:[38, 2], Operations: ['54-16=38', '24-22=2']
Exploring Operation: 38*2=76, Resulting Numbers: [76]
76,84 unequal: No Solution
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,84 unequal: No Solution
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,84 unequal: No Solution
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 84:[24, 16], Operations: ['54-16=38', '38-22=16']
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,84 unequal: No Solution
Exploring Operation: 24+16=40, Resulting Numbers: [40]
40,84 unequal: No Solution
Exploring Operation: 24*16=384, Resulting Numbers: [384]
384,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 84:[38, 46], Operations: ['54-16=38', '22+24=46']
Exploring Operation: 46-38=8, Resulting Numbers: [8]
8,84 unequal: No Solution
Exploring Operation: 38*46=1748, Resulting Numbers: [1748]
1748,84 unequal: No Solution
Exploring Operation: 38+46=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[54, 16, 22, 24], Operations: []
Exploring Operation: 54-16=38, Resulting Numbers: [22, 24, 38]
Generated Node #0,2: 84:[22, 24, 38] Operation: 54-16=38
Moving to Node #0,2
Current State: 84:[22, 24, 38], Operations: ['54-16=38']
Exploring Operation: 22+24=46, Resulting Numbers: [38, 46]
Generated Node #0,2,1: 84:[38, 46] Operation: 22+24=46
Moving to Node #0,2,1
Current State: 84:[38, 46], Operations: ['54-16=38', '22+24=46']
Exploring Operation: 38+46=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.962674 | hs_4 | sum_heuristic |
[
28,
86,
57,
61
] | 79 | [
"61-57=4",
"28/4=7",
"86-7=79"
] | Current State: 79:[28, 86, 57, 61], Operations: []
Exploring Operation: 61-57=4, Resulting Numbers: [28, 86, 4]
Generated Node #2: [28, 86, 4] from Operation: 61-57=4
Current State: 79:[28, 86, 4], Operations: ['61-57=4']
Exploring Operation: 28/4=7, Resulting Numbers: [86, 7]
Generated Node #3: [86, 7] from Operation: 28/4=7
Current State: 79:[86, 7], Operations: ['61-57=4', '28/4=7']
Exploring Operation: 86-7=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[28, 86, 57, 61], Operations: []
Exploring Operation: 28+57=85, Resulting Numbers: [86, 61, 85]
Generated Node #0,0: 79:[86, 61, 85] Operation: 28+57=85
Exploring Operation: 86-28=58, Resulting Numbers: [57, 61, 58]
Generated Node #0,1: 79:[57, 61, 58] Operation: 86-28=58
Exploring Operation: 28+86=114, Resulting Numbers: [57, 61, 114]
Generated Node #0,2: 79:[57, 61, 114] Operation: 28+86=114
Exploring Operation: 57-28=29, Resulting Numbers: [86, 61, 29]
Generated Node #0,3: 79:[86, 61, 29] Operation: 57-28=29
Exploring Operation: 28+61=89, Resulting Numbers: [86, 57, 89]
Generated Node #0,4: 79:[86, 57, 89] Operation: 28+61=89
Moving to Node #0,0
Current State: 79:[86, 61, 85], Operations: ['28+57=85']
Exploring Operation: 61+85=146, Resulting Numbers: [86, 146]
Generated Node #0,0,0: 79:[86, 146] Operation: 61+85=146
Exploring Operation: 85-61=24, Resulting Numbers: [86, 24]
Generated Node #0,0,1: 79:[86, 24] Operation: 85-61=24
Exploring Operation: 86-61=25, Resulting Numbers: [85, 25]
Generated Node #0,0,2: 79:[85, 25] Operation: 86-61=25
Exploring Operation: 86-85=1, Resulting Numbers: [61, 1]
Generated Node #0,0,3: 79:[61, 1] Operation: 86-85=1
Exploring Operation: 86+61=147, Resulting Numbers: [85, 147]
Generated Node #0,0,4: 79:[85, 147] Operation: 86+61=147
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 79:[85, 25], Operations: ['28+57=85', '86-61=25']
Exploring Operation: 85-25=60, Resulting Numbers: [60]
60,79 unequal: No Solution
Exploring Operation: 85*25=2125, Resulting Numbers: [2125]
2125,79 unequal: No Solution
Exploring Operation: 85+25=110, Resulting Numbers: [110]
110,79 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:[86, 24], Operations: ['28+57=85', '85-61=24']
Exploring Operation: 86+24=110, Resulting Numbers: [110]
110,79 unequal: No Solution
Exploring Operation: 86-24=62, Resulting Numbers: [62]
62,79 unequal: No Solution
Exploring Operation: 86*24=2064, Resulting Numbers: [2064]
2064,79 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 #0,0,0
Current State: 79:[86, 146], Operations: ['28+57=85', '61+85=146']
Exploring Operation: 86*146=12556, Resulting Numbers: [12556]
12556,79 unequal: No Solution
Exploring Operation: 86+146=232, Resulting Numbers: [232]
232,79 unequal: No Solution
Exploring Operation: 146-86=60, Resulting Numbers: [60]
60,79 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 #0,0,4
Current State: 79:[85, 147], Operations: ['28+57=85', '86+61=147']
Exploring Operation: 85*147=12495, Resulting Numbers: [12495]
12495,79 unequal: No Solution
Exploring Operation: 85+147=232, Resulting Numbers: [232]
232,79 unequal: No Solution
Exploring Operation: 147-85=62, Resulting Numbers: [62]
62,79 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:[61, 1], Operations: ['28+57=85', '86-85=1']
Exploring Operation: 61*1=61, Resulting Numbers: [61]
61,79 unequal: No Solution
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,79 unequal: No Solution
Exploring Operation: 61+1=62, Resulting Numbers: [62]
62,79 unequal: No Solution
Exploring Operation: 61/1=61, Resulting Numbers: [61]
61,79 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: 79:[86, 57, 89], Operations: ['28+61=89']
Exploring Operation: 89-57=32, Resulting Numbers: [86, 32]
Generated Node #0,4,0: 79:[86, 32] Operation: 89-57=32
Exploring Operation: 89-86=3, Resulting Numbers: [57, 3]
Generated Node #0,4,1: 79:[57, 3] Operation: 89-86=3
Exploring Operation: 57+89=146, Resulting Numbers: [86, 146]
Generated Node #0,4,2: 79:[86, 146] Operation: 57+89=146
Exploring Operation: 86+57=143, Resulting Numbers: [89, 143]
Generated Node #0,4,3: 79:[89, 143] Operation: 86+57=143
Exploring Operation: 86-57=29, Resulting Numbers: [89, 29]
Generated Node #0,4,4: 79:[89, 29] Operation: 86-57=29
Moving to Node #0,1
Current State: 79:[57, 61, 58], Operations: ['86-28=58']
Exploring Operation: 57+61=118, Resulting Numbers: [58, 118]
Generated Node #0,1,0: 79:[58, 118] Operation: 57+61=118
Exploring Operation: 61-57=4, Resulting Numbers: [58, 4]
Generated Node #0,1,1: 79:[58, 4] Operation: 61-57=4
Exploring Operation: 57+58=115, Resulting Numbers: [61, 115]
Generated Node #0,1,2: 79:[61, 115] Operation: 57+58=115
Exploring Operation: 61+58=119, Resulting Numbers: [57, 119]
Generated Node #0,1,3: 79:[57, 119] Operation: 61+58=119
Exploring Operation: 58-57=1, Resulting Numbers: [61, 1]
Generated Node #0,1,4: 79:[61, 1] Operation: 58-57=1
Moving to Node #0,2
Current State: 79:[57, 61, 114], Operations: ['28+86=114']
Exploring Operation: 114-61=53, Resulting Numbers: [57, 53]
Generated Node #0,2,0: 79:[57, 53] Operation: 114-61=53
Exploring Operation: 114-57=57, Resulting Numbers: [61, 57]
Generated Node #0,2,1: 79:[61, 57] Operation: 114-57=57
Exploring Operation: 61-57=4, Resulting Numbers: [114, 4]
Generated Node #0,2,2: 79:[114, 4] Operation: 61-57=4
Exploring Operation: 57+61=118, Resulting Numbers: [114, 118]
Generated Node #0,2,3: 79:[114, 118] Operation: 57+61=118
Exploring Operation: 114/57=2, Resulting Numbers: [61, 2]
Generated Node #0,2,4: 79:[61, 2] Operation: 114/57=2
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 79:[61, 57], Operations: ['28+86=114', '114-57=57']
Exploring Operation: 61-57=4, Resulting Numbers: [4]
4,79 unequal: No Solution
Exploring Operation: 61*57=3477, Resulting Numbers: [3477]
3477,79 unequal: No Solution
Exploring Operation: 61+57=118, Resulting Numbers: [118]
118,79 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 #0,2,0
Current State: 79:[57, 53], Operations: ['28+86=114', '114-61=53']
Exploring Operation: 57*53=3021, Resulting Numbers: [3021]
3021,79 unequal: No Solution
Exploring Operation: 57-53=4, Resulting Numbers: [4]
4,79 unequal: No Solution
Exploring Operation: 57+53=110, Resulting Numbers: [110]
110,79 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:[114, 118], Operations: ['28+86=114', '57+61=118']
Exploring Operation: 114+118=232, Resulting Numbers: [232]
232,79 unequal: No Solution
Exploring Operation: 118-114=4, Resulting Numbers: [4]
4,79 unequal: No Solution
Exploring Operation: 114*118=13452, Resulting Numbers: [13452]
13452,79 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 #0,2,4
Current State: 79:[61, 2], Operations: ['28+86=114', '114/57=2']
Exploring Operation: 61+2=63, Resulting Numbers: [63]
63,79 unequal: No Solution
Exploring Operation: 61*2=122, Resulting Numbers: [122]
122,79 unequal: No Solution
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,79 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:[114, 4], Operations: ['28+86=114', '61-57=4']
Exploring Operation: 114+4=118, Resulting Numbers: [118]
118,79 unequal: No Solution
Exploring Operation: 114*4=456, Resulting Numbers: [456]
456,79 unequal: No Solution
Exploring Operation: 114-4=110, Resulting Numbers: [110]
110,79 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:[86, 61, 29], Operations: ['57-28=29']
Exploring Operation: 86-61=25, Resulting Numbers: [29, 25]
Generated Node #0,3,0: 79:[29, 25] Operation: 86-61=25
Exploring Operation: 86-29=57, Resulting Numbers: [61, 57]
Generated Node #0,3,1: 79:[61, 57] Operation: 86-29=57
Exploring Operation: 86+29=115, Resulting Numbers: [61, 115]
Generated Node #0,3,2: 79:[61, 115] Operation: 86+29=115
Exploring Operation: 61+29=90, Resulting Numbers: [86, 90]
Generated Node #0,3,3: 79:[86, 90] Operation: 61+29=90
Exploring Operation: 61-29=32, Resulting Numbers: [86, 32]
Generated Node #0,3,4: 79:[86, 32] Operation: 61-29=32
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 79:[86, 90], Operations: ['57-28=29', '61+29=90']
Exploring Operation: 90-86=4, Resulting Numbers: [4]
4,79 unequal: No Solution
Exploring Operation: 86+90=176, Resulting Numbers: [176]
176,79 unequal: No Solution
Exploring Operation: 86*90=7740, Resulting Numbers: [7740]
7740,79 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 #0,3,1
Current State: 79:[61, 57], Operations: ['57-28=29', '86-29=57']
Exploring Operation: 61*57=3477, Resulting Numbers: [3477]
3477,79 unequal: No Solution
Exploring Operation: 61+57=118, Resulting Numbers: [118]
118,79 unequal: No Solution
Exploring Operation: 61-57=4, Resulting Numbers: [4]
4,79 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 #0,3,2
Current State: 79:[61, 115], Operations: ['57-28=29', '86+29=115']
Exploring Operation: 61*115=7015, Resulting Numbers: [7015]
7015,79 unequal: No Solution
Exploring Operation: 115-61=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Exploring Operation: 61+115=176, Resulting Numbers: [176]
176,79 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 #0,3,4
Current State: 79:[86, 32], Operations: ['57-28=29', '61-29=32']
Exploring Operation: 86+32=118, Resulting Numbers: [118]
118,79 unequal: No Solution
Exploring Operation: 86*32=2752, Resulting Numbers: [2752]
2752,79 unequal: No Solution
Exploring Operation: 86-32=54, Resulting Numbers: [54]
54,79 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 #0,3,0
Current State: 79:[29, 25], Operations: ['57-28=29', '86-61=25']
Exploring Operation: 29-25=4, Resulting Numbers: [4]
4,79 unequal: No Solution
Exploring Operation: 29*25=725, Resulting Numbers: [725]
725,79 unequal: No Solution
Exploring Operation: 29+25=54, Resulting Numbers: [54]
54,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,0
Current State: 79:[86, 32], Operations: ['28+61=89', '89-57=32']
Exploring Operation: 86-32=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Exploring Operation: 86*32=2752, Resulting Numbers: [2752]
2752,79 unequal: No Solution
Exploring Operation: 86+32=118, Resulting Numbers: [118]
118,79 unequal: No Solution
Moving to Node #0,1,2
Current State: 79:[61, 115], Operations: ['86-28=58', '57+58=115']
Exploring Operation: 115-61=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Exploring Operation: 61*115=7015, Resulting Numbers: [7015]
7015,79 unequal: No Solution
Exploring Operation: 61+115=176, Resulting Numbers: [176]
176,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[58, 118], Operations: ['86-28=58', '57+61=118']
Exploring Operation: 118-58=60, Resulting Numbers: [60]
60,79 unequal: No Solution
Exploring Operation: 58+118=176, Resulting Numbers: [176]
176,79 unequal: No Solution
Exploring Operation: 58*118=6844, Resulting Numbers: [6844]
6844,79 unequal: No Solution
Moving to Node #0,4,4
Current State: 79:[89, 29], Operations: ['28+61=89', '86-57=29']
Exploring Operation: 89+29=118, Resulting Numbers: [118]
118,79 unequal: No Solution
Exploring Operation: 89*29=2581, Resulting Numbers: [2581]
2581,79 unequal: No Solution
Exploring Operation: 89-29=60, Resulting Numbers: [60]
60,79 unequal: No Solution
Moving to Node #0,1,3
Current State: 79:[57, 119], Operations: ['86-28=58', '61+58=119']
Exploring Operation: 57+119=176, Resulting Numbers: [176]
176,79 unequal: No Solution
Exploring Operation: 119-57=62, Resulting Numbers: [62]
62,79 unequal: No Solution
Exploring Operation: 57*119=6783, Resulting Numbers: [6783]
6783,79 unequal: No Solution
Moving to Node #0,4,2
Current State: 79:[86, 146], Operations: ['28+61=89', '57+89=146']
Exploring Operation: 86*146=12556, Resulting Numbers: [12556]
12556,79 unequal: No Solution
Exploring Operation: 146-86=60, Resulting Numbers: [60]
60,79 unequal: No Solution
Exploring Operation: 86+146=232, Resulting Numbers: [232]
232,79 unequal: No Solution
Moving to Node #0,4,3
Current State: 79:[89, 143], Operations: ['28+61=89', '86+57=143']
Exploring Operation: 89+143=232, Resulting Numbers: [232]
232,79 unequal: No Solution
Exploring Operation: 89*143=12727, Resulting Numbers: [12727]
12727,79 unequal: No Solution
Exploring Operation: 143-89=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Moving to Node #0,1,1
Current State: 79:[58, 4], Operations: ['86-28=58', '61-57=4']
Exploring Operation: 58+4=62, Resulting Numbers: [62]
62,79 unequal: No Solution
Exploring Operation: 58-4=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Exploring Operation: 58*4=232, Resulting Numbers: [232]
232,79 unequal: No Solution
Moving to Node #0,1,4
Current State: 79:[61, 1], Operations: ['86-28=58', '58-57=1']
Exploring Operation: 61/1=61, Resulting Numbers: [61]
61,79 unequal: No Solution
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,79 unequal: No Solution
Exploring Operation: 61+1=62, Resulting Numbers: [62]
62,79 unequal: No Solution
Exploring Operation: 61*1=61, Resulting Numbers: [61]
61,79 unequal: No Solution
Moving to Node #0,4,1
Current State: 79:[57, 3], Operations: ['28+61=89', '89-86=3']
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,79 unequal: No Solution
Exploring Operation: 57*3=171, Resulting Numbers: [171]
171,79 unequal: No Solution
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,79 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
79,
76,
76,
80
] | 80 | [
"76-76=0",
"79*0=0",
"80+0=80"
] | Current State: 80:[79, 76, 76, 80], Operations: []
Exploring Operation: 76-76=0, Resulting Numbers: [79, 80, 0]
Generated Node #2: [79, 80, 0] from Operation: 76-76=0
Current State: 80:[79, 80, 0], Operations: ['76-76=0']
Exploring Operation: 79*0=0, Resulting Numbers: [80, 0]
Generated Node #3: [80, 0] from Operation: 79*0=0
Current State: 80:[80, 0], Operations: ['76-76=0', '79*0=0']
Exploring Operation: 80+0=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[79, 76, 76, 80], Operations: []
Exploring Operation: 76/76=1, Resulting Numbers: [79, 80, 1]
Generated Node #0,0: 80:[79, 80, 1] Operation: 76/76=1
Moving to Node #0,0
Current State: 80:[79, 80, 1], Operations: ['76/76=1']
Exploring Operation: 79+1=80, Resulting Numbers: [80, 80]
Generated Node #0,0,0: 80:[80, 80] Operation: 79+1=80
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 80:[80, 80], Operations: ['76/76=1', '79+1=80']
Exploring Operation: 80/80=1, Resulting Numbers: [1]
1,80 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 |
[
13,
17,
5,
95
] | 61 | [
"17-5=12",
"13*12=156",
"156-95=61"
] | Current State: 61:[13, 17, 5, 95], Operations: []
Exploring Operation: 17-5=12, Resulting Numbers: [13, 95, 12]
Generated Node #2: [13, 95, 12] from Operation: 17-5=12
Current State: 61:[13, 95, 12], Operations: ['17-5=12']
Exploring Operation: 13*12=156, Resulting Numbers: [95, 156]
Generated Node #3: [95, 156] from Operation: 13*12=156
Current State: 61:[95, 156], Operations: ['17-5=12', '13*12=156']
Exploring Operation: 156-95=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[13, 17, 5, 95], Operations: []
Exploring Operation: 13*5=65, Resulting Numbers: [17, 95, 65]
Generated Node #0,0: 61:[17, 95, 65] Operation: 13*5=65
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[17, 95, 65], Operations: ['13*5=65']
Exploring Operation: 95-17=78, Resulting Numbers: [65, 78]
Generated Node #0,0,0: 61:[65, 78] Operation: 95-17=78
Moving to Node #0,0,0
Current State: 61:[65, 78], Operations: ['13*5=65', '95-17=78']
Exploring Operation: 78-65=13, Resulting Numbers: [13]
13,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
42,
51,
6,
73
] | 76 | [
"51-42=9",
"73-6=67",
"9+67=76"
] | Current State: 76:[42, 51, 6, 73], Operations: []
Exploring Operation: 51-42=9, Resulting Numbers: [6, 73, 9]
Generated Node #2: [6, 73, 9] from Operation: 51-42=9
Current State: 76:[6, 73, 9], Operations: ['51-42=9']
Exploring Operation: 73-6=67, Resulting Numbers: [9, 67]
Generated Node #3: [9, 67] from Operation: 73-6=67
Current State: 76:[9, 67], Operations: ['51-42=9', '73-6=67']
Exploring Operation: 9+67=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[42, 51, 6, 73], Operations: []
Exploring Operation: 51-42=9, Resulting Numbers: [6, 73, 9]
Generated Node #0,0: 76:[6, 73, 9] Operation: 51-42=9
Exploring Operation: 73-51=22, Resulting Numbers: [42, 6, 22]
Generated Node #0,1: 76:[42, 6, 22] Operation: 73-51=22
Moving to Node #0,1
Current State: 76:[42, 6, 22], Operations: ['73-51=22']
Exploring Operation: 42-22=20, Resulting Numbers: [6, 20]
Generated Node #0,1,0: 76:[6, 20] Operation: 42-22=20
Exploring Operation: 42-6=36, Resulting Numbers: [22, 36]
Generated Node #0,1,1: 76:[22, 36] Operation: 42-6=36
Moving to Node #0,0
Current State: 76:[6, 73, 9], Operations: ['51-42=9']
Exploring Operation: 6+9=15, Resulting Numbers: [73, 15]
Generated Node #0,0,0: 76:[73, 15] Operation: 6+9=15
Exploring Operation: 9-6=3, Resulting Numbers: [73, 3]
Generated Node #0,0,1: 76:[73, 3] Operation: 9-6=3
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 76:[73, 3], Operations: ['51-42=9', '9-6=3']
Exploring Operation: 73-3=70, Resulting Numbers: [70]
70,76 unequal: No Solution
Exploring Operation: 73+3=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[42, 51, 6, 73], Operations: []
Exploring Operation: 51-42=9, Resulting Numbers: [6, 73, 9]
Generated Node #0,0: 76:[6, 73, 9] Operation: 51-42=9
Moving to Node #0,0
Current State: 76:[6, 73, 9], Operations: ['51-42=9']
Exploring Operation: 9-6=3, Resulting Numbers: [73, 3]
Generated Node #0,0,1: 76:[73, 3] Operation: 9-6=3
Moving to Node #0,0,1
Current State: 76:[73, 3], Operations: ['51-42=9', '9-6=3']
Exploring Operation: 73+3=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
15,
6,
50,
81
] | 61 | [
"81-15=66",
"66/6=11",
"50+11=61"
] | Current State: 61:[15, 6, 50, 81], Operations: []
Exploring Operation: 81-15=66, Resulting Numbers: [6, 50, 66]
Generated Node #2: [6, 50, 66] from Operation: 81-15=66
Current State: 61:[6, 50, 66], Operations: ['81-15=66']
Exploring Operation: 66/6=11, Resulting Numbers: [50, 11]
Generated Node #3: [50, 11] from Operation: 66/6=11
Current State: 61:[50, 11], Operations: ['81-15=66', '66/6=11']
Exploring Operation: 50+11=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[15, 6, 50, 81], Operations: []
Exploring Operation: 15*6=90, Resulting Numbers: [50, 81, 90]
Generated Node #0,0: 61:[50, 81, 90] Operation: 15*6=90
Exploring Operation: 15+6=21, Resulting Numbers: [50, 81, 21]
Generated Node #0,1: 61:[50, 81, 21] Operation: 15+6=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[50, 81, 90], Operations: ['15*6=90']
Exploring Operation: 81-50=31, Resulting Numbers: [90, 31]
Generated Node #0,0,0: 61:[90, 31] Operation: 81-50=31
Exploring Operation: 90-50=40, Resulting Numbers: [81, 40]
Generated Node #0,0,1: 61:[81, 40] Operation: 90-50=40
Moving to Node #0,0,1
Current State: 61:[81, 40], Operations: ['15*6=90', '90-50=40']
Exploring Operation: 81+40=121, Resulting Numbers: [121]
121,61 unequal: No Solution
Exploring Operation: 81-40=41, Resulting Numbers: [41]
41,61 unequal: No Solution
Moving to Node #0,0,0
Current State: 61:[90, 31], Operations: ['15*6=90', '81-50=31']
Exploring Operation: 90-31=59, Resulting Numbers: [59]
59,61 unequal: No Solution
Exploring Operation: 90+31=121, Resulting Numbers: [121]
121,61 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 #0,1
Current State: 61:[50, 81, 21], Operations: ['15+6=21']
Exploring Operation: 50+21=71, Resulting Numbers: [81, 71]
Generated Node #0,1,0: 61:[81, 71] Operation: 50+21=71
Exploring Operation: 81-21=60, Resulting Numbers: [50, 60]
Generated Node #0,1,1: 61:[50, 60] Operation: 81-21=60
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 61:[50, 60], Operations: ['15+6=21', '81-21=60']
Exploring Operation: 50+60=110, Resulting Numbers: [110]
110,61 unequal: No Solution
Exploring Operation: 60-50=10, Resulting Numbers: [10]
10,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 61:[81, 71], Operations: ['15+6=21', '50+21=71']
Exploring Operation: 81-71=10, Resulting Numbers: [10]
10,61 unequal: No Solution
Exploring Operation: 81+71=152, Resulting Numbers: [152]
152,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
87,
91,
23,
93
] | 66 | [
"91-87=4",
"93-23=70",
"70-4=66"
] | Current State: 66:[87, 91, 23, 93], Operations: []
Exploring Operation: 91-87=4, Resulting Numbers: [23, 93, 4]
Generated Node #2: [23, 93, 4] from Operation: 91-87=4
Current State: 66:[23, 93, 4], Operations: ['91-87=4']
Exploring Operation: 93-23=70, Resulting Numbers: [4, 70]
Generated Node #3: [4, 70] from Operation: 93-23=70
Current State: 66:[4, 70], Operations: ['91-87=4', '93-23=70']
Exploring Operation: 70-4=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[87, 91, 23, 93], Operations: []
Exploring Operation: 93-91=2, Resulting Numbers: [87, 23, 2]
Generated Node #0,0: 66:[87, 23, 2] Operation: 93-91=2
Exploring Operation: 91-23=68, Resulting Numbers: [87, 93, 68]
Generated Node #0,1: 66:[87, 93, 68] Operation: 91-23=68
Exploring Operation: 91-87=4, Resulting Numbers: [23, 93, 4]
Generated Node #0,2: 66:[23, 93, 4] Operation: 91-87=4
Exploring Operation: 93-87=6, Resulting Numbers: [91, 23, 6]
Generated Node #0,3: 66:[91, 23, 6] Operation: 93-87=6
Moving to Node #0,0
Current State: 66:[87, 23, 2], Operations: ['93-91=2']
Exploring Operation: 87-23=64, Resulting Numbers: [2, 64]
Generated Node #0,0,0: 66:[2, 64] Operation: 87-23=64
Exploring Operation: 87+2=89, Resulting Numbers: [23, 89]
Generated Node #0,0,1: 66:[23, 89] Operation: 87+2=89
Exploring Operation: 87-2=85, Resulting Numbers: [23, 85]
Generated Node #0,0,2: 66:[23, 85] Operation: 87-2=85
Exploring Operation: 23-2=21, Resulting Numbers: [87, 21]
Generated Node #0,0,3: 66:[87, 21] Operation: 23-2=21
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 66:[2, 64], Operations: ['93-91=2', '87-23=64']
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,66 unequal: No Solution
Exploring Operation: 2+64=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[87, 91, 23, 93], Operations: []
Exploring Operation: 93-91=2, Resulting Numbers: [87, 23, 2]
Generated Node #0,0: 66:[87, 23, 2] Operation: 93-91=2
Moving to Node #0,0
Current State: 66:[87, 23, 2], Operations: ['93-91=2']
Exploring Operation: 87-23=64, Resulting Numbers: [2, 64]
Generated Node #0,0,0: 66:[2, 64] Operation: 87-23=64
Moving to Node #0,0,0
Current State: 66:[2, 64], Operations: ['93-91=2', '87-23=64']
Exploring Operation: 2+64=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
73,
84,
67,
10
] | 97 | [
"84-67=17",
"10*17=170",
"170-73=97"
] | Current State: 97:[73, 84, 67, 10], Operations: []
Exploring Operation: 84-67=17, Resulting Numbers: [73, 10, 17]
Generated Node #2: [73, 10, 17] from Operation: 84-67=17
Current State: 97:[73, 10, 17], Operations: ['84-67=17']
Exploring Operation: 10*17=170, Resulting Numbers: [73, 170]
Generated Node #3: [73, 170] from Operation: 10*17=170
Current State: 97:[73, 170], Operations: ['84-67=17', '10*17=170']
Exploring Operation: 170-73=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[73, 84, 67, 10], Operations: []
Exploring Operation: 73+10=83, Resulting Numbers: [84, 67, 83]
Generated Node #0,0: 97:[84, 67, 83] Operation: 73+10=83
Moving to Node #0,0
Current State: 97:[84, 67, 83], Operations: ['73+10=83']
Exploring Operation: 67+83=150, Resulting Numbers: [84, 150]
Generated Node #0,0,0: 97:[84, 150] Operation: 67+83=150
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 97:[84, 150], Operations: ['73+10=83', '67+83=150']
Exploring Operation: 150-84=66, Resulting Numbers: [66]
66,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
35,
21,
28,
46
] | 38 | [
"35+21=56",
"46-28=18",
"56-18=38"
] | Current State: 38:[35, 21, 28, 46], Operations: []
Exploring Operation: 35+21=56, Resulting Numbers: [28, 46, 56]
Generated Node #2: [28, 46, 56] from Operation: 35+21=56
Current State: 38:[28, 46, 56], Operations: ['35+21=56']
Exploring Operation: 46-28=18, Resulting Numbers: [56, 18]
Generated Node #3: [56, 18] from Operation: 46-28=18
Current State: 38:[56, 18], Operations: ['35+21=56', '46-28=18']
Exploring Operation: 56-18=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[35, 21, 28, 46], Operations: []
Exploring Operation: 35-28=7, Resulting Numbers: [21, 46, 7]
Generated Node #0,0: 38:[21, 46, 7] Operation: 35-28=7
Exploring Operation: 28-21=7, Resulting Numbers: [35, 46, 7]
Generated Node #0,1: 38:[35, 46, 7] Operation: 28-21=7
Exploring Operation: 46-28=18, Resulting Numbers: [35, 21, 18]
Generated Node #0,2: 38:[35, 21, 18] Operation: 46-28=18
Moving to Node #0,2
Current State: 38:[35, 21, 18], Operations: ['46-28=18']
Exploring Operation: 35-18=17, Resulting Numbers: [21, 17]
Generated Node #0,2,0: 38:[21, 17] Operation: 35-18=17
Exploring Operation: 21+18=39, Resulting Numbers: [35, 39]
Generated Node #0,2,1: 38:[35, 39] Operation: 21+18=39
Exploring Operation: 21-18=3, Resulting Numbers: [35, 3]
Generated Node #0,2,2: 38:[35, 3] Operation: 21-18=3
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 38:[21, 17], Operations: ['46-28=18', '35-18=17']
Exploring Operation: 21+17=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[35, 21, 28, 46], Operations: []
Exploring Operation: 46-28=18, Resulting Numbers: [35, 21, 18]
Generated Node #0,2: 38:[35, 21, 18] Operation: 46-28=18
Moving to Node #0,2
Current State: 38:[35, 21, 18], Operations: ['46-28=18']
Exploring Operation: 35-18=17, Resulting Numbers: [21, 17]
Generated Node #0,2,0: 38:[21, 17] Operation: 35-18=17
Moving to Node #0,2,0
Current State: 38:[21, 17], Operations: ['46-28=18', '35-18=17']
Exploring Operation: 21+17=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
24,
25,
16,
79
] | 95 | [
"25-24=1",
"16+79=95",
"1*95=95"
] | Current State: 95:[24, 25, 16, 79], Operations: []
Exploring Operation: 25-24=1, Resulting Numbers: [16, 79, 1]
Generated Node #2: [16, 79, 1] from Operation: 25-24=1
Current State: 95:[16, 79, 1], Operations: ['25-24=1']
Exploring Operation: 16+79=95, Resulting Numbers: [1, 95]
Generated Node #3: [1, 95] from Operation: 16+79=95
Current State: 95:[1, 95], Operations: ['25-24=1', '16+79=95']
Exploring Operation: 1*95=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[24, 25, 16, 79], Operations: []
Exploring Operation: 24+79=103, Resulting Numbers: [25, 16, 103]
Generated Node #0,0: 95:[25, 16, 103] Operation: 24+79=103
Exploring Operation: 25-24=1, Resulting Numbers: [16, 79, 1]
Generated Node #0,1: 95:[16, 79, 1] Operation: 25-24=1
Exploring Operation: 16+79=95, Resulting Numbers: [24, 25, 95]
Generated Node #0,2: 95:[24, 25, 95] Operation: 16+79=95
Exploring Operation: 25+79=104, Resulting Numbers: [24, 16, 104]
Generated Node #0,3: 95:[24, 16, 104] Operation: 25+79=104
Moving to Node #0,2
Current State: 95:[24, 25, 95], Operations: ['16+79=95']
Exploring Operation: 24+25=49, Resulting Numbers: [95, 49]
Generated Node #0,2,0: 95:[95, 49] Operation: 24+25=49
Exploring Operation: 25-24=1, Resulting Numbers: [95, 1]
Generated Node #0,2,1: 95:[95, 1] Operation: 25-24=1
Exploring Operation: 24+95=119, Resulting Numbers: [25, 119]
Generated Node #0,2,2: 95:[25, 119] Operation: 24+95=119
Exploring Operation: 95-24=71, Resulting Numbers: [25, 71]
Generated Node #0,2,3: 95:[25, 71] Operation: 95-24=71
Moving to Node #0,3
Current State: 95:[24, 16, 104], Operations: ['25+79=104']
Exploring Operation: 24+16=40, Resulting Numbers: [104, 40]
Generated Node #0,3,0: 95:[104, 40] Operation: 24+16=40
Exploring Operation: 104-24=80, Resulting Numbers: [16, 80]
Generated Node #0,3,1: 95:[16, 80] Operation: 104-24=80
Exploring Operation: 24-16=8, Resulting Numbers: [104, 8]
Generated Node #0,3,2: 95:[104, 8] Operation: 24-16=8
Exploring Operation: 104-16=88, Resulting Numbers: [24, 88]
Generated Node #0,3,3: 95:[24, 88] Operation: 104-16=88
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 95:[104, 8], Operations: ['25+79=104', '24-16=8']
Exploring Operation: 104/8=13, Resulting Numbers: [13]
13,95 unequal: No Solution
Exploring Operation: 104+8=112, Resulting Numbers: [112]
112,95 unequal: No Solution
Exploring Operation: 104*8=832, Resulting Numbers: [832]
832,95 unequal: No Solution
Exploring Operation: 104-8=96, Resulting Numbers: [96]
96,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 95:[24, 88], Operations: ['25+79=104', '104-16=88']
Exploring Operation: 24+88=112, Resulting Numbers: [112]
112,95 unequal: No Solution
Exploring Operation: 24*88=2112, Resulting Numbers: [2112]
2112,95 unequal: No Solution
Exploring Operation: 88-24=64, Resulting Numbers: [64]
64,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 95:[16, 80], Operations: ['25+79=104', '104-24=80']
Exploring Operation: 80/16=5, Resulting Numbers: [5]
5,95 unequal: No Solution
Exploring Operation: 16*80=1280, Resulting Numbers: [1280]
1280,95 unequal: No Solution
Exploring Operation: 16+80=96, Resulting Numbers: [96]
96,95 unequal: No Solution
Exploring Operation: 80-16=64, Resulting Numbers: [64]
64,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 95:[104, 40], Operations: ['25+79=104', '24+16=40']
Exploring Operation: 104*40=4160, Resulting Numbers: [4160]
4160,95 unequal: No Solution
Exploring Operation: 104+40=144, Resulting Numbers: [144]
144,95 unequal: No Solution
Exploring Operation: 104-40=64, Resulting Numbers: [64]
64,95 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: 95:[25, 16, 103], Operations: ['24+79=103']
Exploring Operation: 25+16=41, Resulting Numbers: [103, 41]
Generated Node #0,0,0: 95:[103, 41] Operation: 25+16=41
Exploring Operation: 103-25=78, Resulting Numbers: [16, 78]
Generated Node #0,0,1: 95:[16, 78] Operation: 103-25=78
Exploring Operation: 25-16=9, Resulting Numbers: [103, 9]
Generated Node #0,0,2: 95:[103, 9] Operation: 25-16=9
Exploring Operation: 103-16=87, Resulting Numbers: [25, 87]
Generated Node #0,0,3: 95:[25, 87] Operation: 103-16=87
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 95:[103, 9], Operations: ['24+79=103', '25-16=9']
Exploring Operation: 103+9=112, Resulting Numbers: [112]
112,95 unequal: No Solution
Exploring Operation: 103*9=927, Resulting Numbers: [927]
927,95 unequal: No Solution
Exploring Operation: 103-9=94, Resulting Numbers: [94]
94,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 95:[25, 87], Operations: ['24+79=103', '103-16=87']
Exploring Operation: 25*87=2175, Resulting Numbers: [2175]
2175,95 unequal: No Solution
Exploring Operation: 87-25=62, Resulting Numbers: [62]
62,95 unequal: No Solution
Exploring Operation: 25+87=112, Resulting Numbers: [112]
112,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 95:[16, 78], Operations: ['24+79=103', '103-25=78']
Exploring Operation: 16*78=1248, Resulting Numbers: [1248]
1248,95 unequal: No Solution
Exploring Operation: 16+78=94, Resulting Numbers: [94]
94,95 unequal: No Solution
Exploring Operation: 78-16=62, Resulting Numbers: [62]
62,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 95:[103, 41], Operations: ['24+79=103', '25+16=41']
Exploring Operation: 103*41=4223, Resulting Numbers: [4223]
4223,95 unequal: No Solution
Exploring Operation: 103+41=144, Resulting Numbers: [144]
144,95 unequal: No Solution
Exploring Operation: 103-41=62, Resulting Numbers: [62]
62,95 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: 95:[16, 79, 1], Operations: ['25-24=1']
Exploring Operation: 16+1=17, Resulting Numbers: [79, 17]
Generated Node #0,1,0: 95:[79, 17] Operation: 16+1=17
Exploring Operation: 16*1=16, Resulting Numbers: [79, 16]
Generated Node #0,1,1: 95:[79, 16] Operation: 16*1=16
Exploring Operation: 79+1=80, Resulting Numbers: [16, 80]
Generated Node #0,1,2: 95:[16, 80] Operation: 79+1=80
Exploring Operation: 16+79=95, Resulting Numbers: [1, 95]
Generated Node #0,1,3: 95:[1, 95] Operation: 16+79=95
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 95:[1, 95], Operations: ['25-24=1', '16+79=95']
Exploring Operation: 1*95=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[24, 25, 16, 79], Operations: []
Exploring Operation: 25-24=1, Resulting Numbers: [16, 79, 1]
Generated Node #0,1: 95:[16, 79, 1] Operation: 25-24=1
Moving to Node #0,1
Current State: 95:[16, 79, 1], Operations: ['25-24=1']
Exploring Operation: 16+79=95, Resulting Numbers: [1, 95]
Generated Node #0,1,3: 95:[1, 95] Operation: 16+79=95
Moving to Node #0,1,3
Current State: 95:[1, 95], Operations: ['25-24=1', '16+79=95']
Exploring Operation: 1*95=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.955729 | hs_4 | sum_heuristic |
[
2,
93,
16,
63
] | 70 | [
"93-16=77",
"63+77=140",
"140/2=70"
] | Current State: 70:[2, 93, 16, 63], Operations: []
Exploring Operation: 93-16=77, Resulting Numbers: [2, 63, 77]
Generated Node #2: [2, 63, 77] from Operation: 93-16=77
Current State: 70:[2, 63, 77], Operations: ['93-16=77']
Exploring Operation: 63+77=140, Resulting Numbers: [2, 140]
Generated Node #3: [2, 140] from Operation: 63+77=140
Current State: 70:[2, 140], Operations: ['93-16=77', '63+77=140']
Exploring Operation: 140/2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[2, 93, 16, 63], Operations: []
Exploring Operation: 93-16=77, Resulting Numbers: [2, 63, 77]
Generated Node #0,0: 70:[2, 63, 77] Operation: 93-16=77
Exploring Operation: 93-63=30, Resulting Numbers: [2, 16, 30]
Generated Node #0,1: 70:[2, 16, 30] Operation: 93-63=30
Moving to Node #0,1
Current State: 70:[2, 16, 30], Operations: ['93-63=30']
Exploring Operation: 30/2=15, Resulting Numbers: [16, 15]
Generated Node #0,1,0: 70:[16, 15] Operation: 30/2=15
Exploring Operation: 30-16=14, Resulting Numbers: [2, 14]
Generated Node #0,1,1: 70:[2, 14] Operation: 30-16=14
Moving to Node #0,0
Current State: 70:[2, 63, 77], Operations: ['93-16=77']
Exploring Operation: 2+63=65, Resulting Numbers: [77, 65]
Generated Node #0,0,0: 70:[77, 65] Operation: 2+63=65
Exploring Operation: 77-63=14, Resulting Numbers: [2, 14]
Generated Node #0,0,1: 70:[2, 14] Operation: 77-63=14
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 70:[2, 14], Operations: ['93-16=77', '77-63=14']
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,70 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[77, 65], Operations: ['93-16=77', '2+63=65']
Exploring Operation: 77-65=12, Resulting Numbers: [12]
12,70 unequal: No Solution
Exploring Operation: 77+65=142, Resulting Numbers: [142]
142,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 70:[2, 14], Operations: ['93-63=30', '30-16=14']
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,70 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,70 unequal: No Solution
Moving to Node #0,1,0
Current State: 70:[16, 15], Operations: ['93-63=30', '30/2=15']
Exploring Operation: 16+15=31, Resulting Numbers: [31]
31,70 unequal: No Solution
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,70 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
2,
54,
34,
37
] | 44 | [
"54/2=27",
"34+37=71",
"71-27=44"
] | Current State: 44:[2, 54, 34, 37], Operations: []
Exploring Operation: 54/2=27, Resulting Numbers: [34, 37, 27]
Generated Node #2: [34, 37, 27] from Operation: 54/2=27
Current State: 44:[34, 37, 27], Operations: ['54/2=27']
Exploring Operation: 34+37=71, Resulting Numbers: [27, 71]
Generated Node #3: [27, 71] from Operation: 34+37=71
Current State: 44:[27, 71], Operations: ['54/2=27', '34+37=71']
Exploring Operation: 71-27=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[2, 54, 34, 37], Operations: []
Exploring Operation: 37-34=3, Resulting Numbers: [2, 54, 3]
Generated Node #0,0: 44:[2, 54, 3] Operation: 37-34=3
Exploring Operation: 54-34=20, Resulting Numbers: [2, 37, 20]
Generated Node #0,1: 44:[2, 37, 20] Operation: 54-34=20
Moving to Node #0,1
Current State: 44:[2, 37, 20], Operations: ['54-34=20']
Exploring Operation: 37-20=17, Resulting Numbers: [2, 17]
Generated Node #0,1,0: 44:[2, 17] Operation: 37-20=17
Exploring Operation: 2+37=39, Resulting Numbers: [20, 39]
Generated Node #0,1,1: 44:[20, 39] Operation: 2+37=39
Moving to Node #0,0
Current State: 44:[2, 54, 3], Operations: ['37-34=3']
Exploring Operation: 54/2=27, Resulting Numbers: [3, 27]
Generated Node #0,0,0: 44:[3, 27] Operation: 54/2=27
Exploring Operation: 54/3=18, Resulting Numbers: [2, 18]
Generated Node #0,0,1: 44:[2, 18] Operation: 54/3=18
Moving to Node #0,0,1
Current State: 44:[2, 18], Operations: ['37-34=3', '54/3=18']
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,44 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,44 unequal: No Solution
Moving to Node #0,1,0
Current State: 44:[2, 17], Operations: ['54-34=20', '37-20=17']
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,44 unequal: No Solution
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,44 unequal: No Solution
Moving to Node #0,0,0
Current State: 44:[3, 27], Operations: ['37-34=3', '54/2=27']
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,44 unequal: No Solution
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,44 unequal: No Solution
Moving to Node #0,1,1
Current State: 44:[20, 39], Operations: ['54-34=20', '2+37=39']
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,44 unequal: No Solution
Exploring Operation: 20+39=59, Resulting Numbers: [59]
59,44 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
85,
57,
54,
60
] | 34 | [
"85-57=28",
"60-54=6",
"28+6=34"
] | Current State: 34:[85, 57, 54, 60], Operations: []
Exploring Operation: 85-57=28, Resulting Numbers: [54, 60, 28]
Generated Node #2: [54, 60, 28] from Operation: 85-57=28
Current State: 34:[54, 60, 28], Operations: ['85-57=28']
Exploring Operation: 60-54=6, Resulting Numbers: [28, 6]
Generated Node #3: [28, 6] from Operation: 60-54=6
Current State: 34:[28, 6], Operations: ['85-57=28', '60-54=6']
Exploring Operation: 28+6=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[85, 57, 54, 60], Operations: []
Exploring Operation: 85-60=25, Resulting Numbers: [57, 54, 25]
Generated Node #0,0: 34:[57, 54, 25] Operation: 85-60=25
Moving to Node #0,0
Current State: 34:[57, 54, 25], Operations: ['85-60=25']
Exploring Operation: 57-54=3, Resulting Numbers: [25, 3]
Generated Node #0,0,0: 34:[25, 3] Operation: 57-54=3
Moving to Node #0,0,0
Current State: 34:[25, 3], Operations: ['85-60=25', '57-54=3']
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,34 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
15,
38,
1,
44
] | 84 | [
"15-1=14",
"44-38=6",
"14*6=84"
] | Current State: 84:[15, 38, 1, 44], Operations: []
Exploring Operation: 15-1=14, Resulting Numbers: [38, 44, 14]
Generated Node #2: [38, 44, 14] from Operation: 15-1=14
Current State: 84:[38, 44, 14], Operations: ['15-1=14']
Exploring Operation: 44-38=6, Resulting Numbers: [14, 6]
Generated Node #3: [14, 6] from Operation: 44-38=6
Current State: 84:[14, 6], Operations: ['15-1=14', '44-38=6']
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[15, 38, 1, 44], Operations: []
Exploring Operation: 38-15=23, Resulting Numbers: [1, 44, 23]
Generated Node #0,0: 84:[1, 44, 23] Operation: 38-15=23
Exploring Operation: 38+44=82, Resulting Numbers: [15, 1, 82]
Generated Node #0,1: 84:[15, 1, 82] Operation: 38+44=82
Exploring Operation: 44-38=6, Resulting Numbers: [15, 1, 6]
Generated Node #0,2: 84:[15, 1, 6] Operation: 44-38=6
Moving to Node #0,2
Current State: 84:[15, 1, 6], Operations: ['44-38=6']
Exploring Operation: 15-1=14, Resulting Numbers: [6, 14]
Generated Node #0,2,0: 84:[6, 14] Operation: 15-1=14
Exploring Operation: 15/1=15, Resulting Numbers: [6, 15]
Generated Node #0,2,1: 84:[6, 15] Operation: 15/1=15
Exploring Operation: 15*1=15, Resulting Numbers: [6, 15]
Generated Node #0,2,2: 84:[6, 15] Operation: 15*1=15
Moving to Node #0,1
Current State: 84:[15, 1, 82], Operations: ['38+44=82']
Exploring Operation: 1+82=83, Resulting Numbers: [15, 83]
Generated Node #0,1,0: 84:[15, 83] Operation: 1+82=83
Exploring Operation: 15-1=14, Resulting Numbers: [82, 14]
Generated Node #0,1,1: 84:[82, 14] Operation: 15-1=14
Exploring Operation: 15*1=15, Resulting Numbers: [82, 15]
Generated Node #0,1,2: 84:[82, 15] Operation: 15*1=15
Moving to Node #0,0
Current State: 84:[1, 44, 23], Operations: ['38-15=23']
Exploring Operation: 44-1=43, Resulting Numbers: [23, 43]
Generated Node #0,0,0: 84:[23, 43] Operation: 44-1=43
Exploring Operation: 44-23=21, Resulting Numbers: [1, 21]
Generated Node #0,0,1: 84:[1, 21] Operation: 44-23=21
Exploring Operation: 23-1=22, Resulting Numbers: [44, 22]
Generated Node #0,0,2: 84:[44, 22] Operation: 23-1=22
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 84:[1, 21], Operations: ['38-15=23', '44-23=21']
Exploring Operation: 1+21=22, Resulting Numbers: [22]
22,84 unequal: No Solution
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 1*21=21, Resulting Numbers: [21]
21,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 84:[23, 43], Operations: ['38-15=23', '44-1=43']
Exploring Operation: 43-23=20, Resulting Numbers: [20]
20,84 unequal: No Solution
Exploring Operation: 23*43=989, Resulting Numbers: [989]
989,84 unequal: No Solution
Exploring Operation: 23+43=66, Resulting Numbers: [66]
66,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 84:[44, 22], Operations: ['38-15=23', '23-1=22']
Exploring Operation: 44+22=66, Resulting Numbers: [66]
66,84 unequal: No Solution
Exploring Operation: 44/22=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Exploring Operation: 44-22=22, Resulting Numbers: [22]
22,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 84:[6, 14], Operations: ['44-38=6', '15-1=14']
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,84 unequal: No Solution
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,84 unequal: No Solution
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[15, 38, 1, 44], Operations: []
Exploring Operation: 44-38=6, Resulting Numbers: [15, 1, 6]
Generated Node #0,2: 84:[15, 1, 6] Operation: 44-38=6
Moving to Node #0,2
Current State: 84:[15, 1, 6], Operations: ['44-38=6']
Exploring Operation: 15-1=14, Resulting Numbers: [6, 14]
Generated Node #0,2,0: 84:[6, 14] Operation: 15-1=14
Moving to Node #0,2,0
Current State: 84:[6, 14], Operations: ['44-38=6', '15-1=14']
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 0.975694 | hs_3 | mult_heuristic |
[
39,
37,
90,
71
] | 18 | [
"39+37=76",
"76-71=5",
"90/5=18"
] | Current State: 18:[39, 37, 90, 71], Operations: []
Exploring Operation: 39+37=76, Resulting Numbers: [90, 71, 76]
Generated Node #2: [90, 71, 76] from Operation: 39+37=76
Current State: 18:[90, 71, 76], Operations: ['39+37=76']
Exploring Operation: 76-71=5, Resulting Numbers: [90, 5]
Generated Node #3: [90, 5] from Operation: 76-71=5
Current State: 18:[90, 5], Operations: ['39+37=76', '76-71=5']
Exploring Operation: 90/5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[39, 37, 90, 71], Operations: []
Exploring Operation: 90-71=19, Resulting Numbers: [39, 37, 19]
Generated Node #0,0: 18:[39, 37, 19] Operation: 90-71=19
Moving to Node #0,0
Current State: 18:[39, 37, 19], Operations: ['90-71=19']
Exploring Operation: 39-37=2, Resulting Numbers: [19, 2]
Generated Node #0,0,0: 18:[19, 2] Operation: 39-37=2
Moving to Node #0,0,0
Current State: 18:[19, 2], Operations: ['90-71=19', '39-37=2']
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,18 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
18,
22,
92,
44
] | 21 | [
"22-18=4",
"92/4=23",
"44-23=21"
] | Current State: 21:[18, 22, 92, 44], Operations: []
Exploring Operation: 22-18=4, Resulting Numbers: [92, 44, 4]
Generated Node #2: [92, 44, 4] from Operation: 22-18=4
Current State: 21:[92, 44, 4], Operations: ['22-18=4']
Exploring Operation: 92/4=23, Resulting Numbers: [44, 23]
Generated Node #3: [44, 23] from Operation: 92/4=23
Current State: 21:[44, 23], Operations: ['22-18=4', '92/4=23']
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[18, 22, 92, 44], Operations: []
Exploring Operation: 92-44=48, Resulting Numbers: [18, 22, 48]
Generated Node #0,0: 21:[18, 22, 48] Operation: 92-44=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[18, 22, 48], Operations: ['92-44=48']
Exploring Operation: 48-22=26, Resulting Numbers: [18, 26]
Generated Node #0,0,0: 21:[18, 26] Operation: 48-22=26
Moving to Node #0,0,0
Current State: 21:[18, 26], Operations: ['92-44=48', '48-22=26']
Exploring Operation: 26-18=8, Resulting Numbers: [8]
8,21 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 |
[
42,
4,
99,
29
] | 10 | [
"99+29=128",
"128/4=32",
"42-32=10"
] | Current State: 10:[42, 4, 99, 29], Operations: []
Exploring Operation: 99+29=128, Resulting Numbers: [42, 4, 128]
Generated Node #2: [42, 4, 128] from Operation: 99+29=128
Current State: 10:[42, 4, 128], Operations: ['99+29=128']
Exploring Operation: 128/4=32, Resulting Numbers: [42, 32]
Generated Node #3: [42, 32] from Operation: 128/4=32
Current State: 10:[42, 32], Operations: ['99+29=128', '128/4=32']
Exploring Operation: 42-32=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[42, 4, 99, 29], Operations: []
Exploring Operation: 99-42=57, Resulting Numbers: [4, 29, 57]
Generated Node #0,0: 10:[4, 29, 57] Operation: 99-42=57
Exploring Operation: 42-29=13, Resulting Numbers: [4, 99, 13]
Generated Node #0,1: 10:[4, 99, 13] Operation: 42-29=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[4, 29, 57], Operations: ['99-42=57']
Exploring Operation: 29-4=25, Resulting Numbers: [57, 25]
Generated Node #0,0,0: 10:[57, 25] Operation: 29-4=25
Exploring Operation: 57-29=28, Resulting Numbers: [4, 28]
Generated Node #0,0,1: 10:[4, 28] Operation: 57-29=28
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 10:[4, 28], Operations: ['99-42=57', '57-29=28']
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,10 unequal: No Solution
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,10 unequal: No Solution
No 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: 10:[57, 25], Operations: ['99-42=57', '29-4=25']
Exploring Operation: 57-25=32, Resulting Numbers: [32]
32,10 unequal: No Solution
Exploring Operation: 57+25=82, Resulting Numbers: [82]
82,10 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: 10:[4, 99, 13], Operations: ['42-29=13']
Exploring Operation: 99-13=86, Resulting Numbers: [4, 86]
Generated Node #0,1,0: 10:[4, 86] Operation: 99-13=86
Exploring Operation: 99-4=95, Resulting Numbers: [13, 95]
Generated Node #0,1,1: 10:[13, 95] Operation: 99-4=95
Moving to Node #0,1,0
Current State: 10:[4, 86], Operations: ['42-29=13', '99-13=86']
Exploring Operation: 86-4=82, Resulting Numbers: [82]
82,10 unequal: No Solution
Exploring Operation: 4+86=90, Resulting Numbers: [90]
90,10 unequal: No Solution
Moving to Node #0,1,1
Current State: 10:[13, 95], Operations: ['42-29=13', '99-4=95']
Exploring Operation: 13+95=108, Resulting Numbers: [108]
108,10 unequal: No Solution
Exploring Operation: 95-13=82, Resulting Numbers: [82]
82,10 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 |
[
89,
5,
30,
95
] | 29 | [
"89+5=94",
"95-30=65",
"94-65=29"
] | Current State: 29:[89, 5, 30, 95], Operations: []
Exploring Operation: 89+5=94, Resulting Numbers: [30, 95, 94]
Generated Node #2: [30, 95, 94] from Operation: 89+5=94
Current State: 29:[30, 95, 94], Operations: ['89+5=94']
Exploring Operation: 95-30=65, Resulting Numbers: [94, 65]
Generated Node #3: [94, 65] from Operation: 95-30=65
Current State: 29:[94, 65], Operations: ['89+5=94', '95-30=65']
Exploring Operation: 94-65=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[89, 5, 30, 95], Operations: []
Exploring Operation: 89-30=59, Resulting Numbers: [5, 95, 59]
Generated Node #0,0: 29:[5, 95, 59] Operation: 89-30=59
Exploring Operation: 89-5=84, Resulting Numbers: [30, 95, 84]
Generated Node #0,1: 29:[30, 95, 84] Operation: 89-5=84
Exploring Operation: 95-30=65, Resulting Numbers: [89, 5, 65]
Generated Node #0,2: 29:[89, 5, 65] Operation: 95-30=65
Exploring Operation: 95/5=19, Resulting Numbers: [89, 30, 19]
Generated Node #0,3: 29:[89, 30, 19] Operation: 95/5=19
Exploring Operation: 95-89=6, Resulting Numbers: [5, 30, 6]
Generated Node #0,4: 29:[5, 30, 6] Operation: 95-89=6
Moving to Node #0,4
Current State: 29:[5, 30, 6], Operations: ['95-89=6']
Exploring Operation: 6-5=1, Resulting Numbers: [30, 1]
Generated Node #0,4,0: 29:[30, 1] Operation: 6-5=1
Exploring Operation: 5*6=30, Resulting Numbers: [30, 30]
Generated Node #0,4,1: 29:[30, 30] Operation: 5*6=30
Exploring Operation: 5+6=11, Resulting Numbers: [30, 11]
Generated Node #0,4,2: 29:[30, 11] Operation: 5+6=11
Exploring Operation: 5+30=35, Resulting Numbers: [6, 35]
Generated Node #0,4,3: 29:[6, 35] Operation: 5+30=35
Exploring Operation: 30-5=25, Resulting Numbers: [6, 25]
Generated Node #0,4,4: 29:[6, 25] Operation: 30-5=25
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 29:[30, 30], Operations: ['95-89=6', '5*6=30']
Exploring Operation: 30*30=900, Resulting Numbers: [900]
900,29 unequal: No Solution
Exploring Operation: 30/30=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 30-30=0, Resulting Numbers: [0]
0,29 unequal: No Solution
Exploring Operation: 30+30=60, Resulting Numbers: [60]
60,29 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 #0,4,2
Current State: 29:[30, 11], Operations: ['95-89=6', '5+6=11']
Exploring Operation: 30*11=330, Resulting Numbers: [330]
330,29 unequal: No Solution
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,29 unequal: No Solution
Exploring Operation: 30+11=41, Resulting Numbers: [41]
41,29 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 #0,4,4
Current State: 29:[6, 25], Operations: ['95-89=6', '30-5=25']
Exploring Operation: 6*25=150, Resulting Numbers: [150]
150,29 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,29 unequal: No Solution
Exploring Operation: 6+25=31, Resulting Numbers: [31]
31,29 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 #0,4,0
Current State: 29:[30, 1], Operations: ['95-89=6', '6-5=1']
Exploring Operation: 30*1=30, Resulting Numbers: [30]
30,29 unequal: No Solution
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[89, 5, 30, 95], Operations: []
Exploring Operation: 95-89=6, Resulting Numbers: [5, 30, 6]
Generated Node #0,4: 29:[5, 30, 6] Operation: 95-89=6
Moving to Node #0,4
Current State: 29:[5, 30, 6], Operations: ['95-89=6']
Exploring Operation: 6-5=1, Resulting Numbers: [30, 1]
Generated Node #0,4,0: 29:[30, 1] Operation: 6-5=1
Moving to Node #0,4,0
Current State: 29:[30, 1], Operations: ['95-89=6', '6-5=1']
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_5 | mult_heuristic |
[
5,
77,
95,
98
] | 85 | [
"5+77=82",
"98-95=3",
"82+3=85"
] | Current State: 85:[5, 77, 95, 98], Operations: []
Exploring Operation: 5+77=82, Resulting Numbers: [95, 98, 82]
Generated Node #2: [95, 98, 82] from Operation: 5+77=82
Current State: 85:[95, 98, 82], Operations: ['5+77=82']
Exploring Operation: 98-95=3, Resulting Numbers: [82, 3]
Generated Node #3: [82, 3] from Operation: 98-95=3
Current State: 85:[82, 3], Operations: ['5+77=82', '98-95=3']
Exploring Operation: 82+3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[5, 77, 95, 98], Operations: []
Exploring Operation: 98-95=3, Resulting Numbers: [5, 77, 3]
Generated Node #0,0: 85:[5, 77, 3] Operation: 98-95=3
Moving to Node #0,0
Current State: 85:[5, 77, 3], Operations: ['98-95=3']
Exploring Operation: 5+77=82, Resulting Numbers: [3, 82]
Generated Node #0,0,0: 85:[3, 82] Operation: 5+77=82
Moving to Node #0,0,0
Current State: 85:[3, 82], Operations: ['98-95=3', '5+77=82']
Exploring Operation: 3+82=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[5, 77, 95, 98], Operations: []
Exploring Operation: 98-95=3, Resulting Numbers: [5, 77, 3]
Generated Node #0,0: 85:[5, 77, 3] Operation: 98-95=3
Moving to Node #0,0
Current State: 85:[5, 77, 3], Operations: ['98-95=3']
Exploring Operation: 5+77=82, Resulting Numbers: [3, 82]
Generated Node #0,0,0: 85:[3, 82] Operation: 5+77=82
Moving to Node #0,0,0
Current State: 85:[3, 82], Operations: ['98-95=3', '5+77=82']
Exploring Operation: 3+82=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
44,
41,
24,
47
] | 69 | [
"44-41=3",
"47-24=23",
"3*23=69"
] | Current State: 69:[44, 41, 24, 47], Operations: []
Exploring Operation: 44-41=3, Resulting Numbers: [24, 47, 3]
Generated Node #2: [24, 47, 3] from Operation: 44-41=3
Current State: 69:[24, 47, 3], Operations: ['44-41=3']
Exploring Operation: 47-24=23, Resulting Numbers: [3, 23]
Generated Node #3: [3, 23] from Operation: 47-24=23
Current State: 69:[3, 23], Operations: ['44-41=3', '47-24=23']
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[44, 41, 24, 47], Operations: []
Exploring Operation: 47-44=3, Resulting Numbers: [41, 24, 3]
Generated Node #0,0: 69:[41, 24, 3] Operation: 47-44=3
Exploring Operation: 47-41=6, Resulting Numbers: [44, 24, 6]
Generated Node #0,1: 69:[44, 24, 6] Operation: 47-41=6
Exploring Operation: 44+41=85, Resulting Numbers: [24, 47, 85]
Generated Node #0,2: 69:[24, 47, 85] Operation: 44+41=85
Exploring Operation: 44-41=3, Resulting Numbers: [24, 47, 3]
Generated Node #0,3: 69:[24, 47, 3] Operation: 44-41=3
Moving to Node #0,0
Current State: 69:[41, 24, 3], Operations: ['47-44=3']
Exploring Operation: 41-24=17, Resulting Numbers: [3, 17]
Generated Node #0,0,0: 69:[3, 17] Operation: 41-24=17
Exploring Operation: 41-3=38, Resulting Numbers: [24, 38]
Generated Node #0,0,1: 69:[24, 38] Operation: 41-3=38
Exploring Operation: 41+24=65, Resulting Numbers: [3, 65]
Generated Node #0,0,2: 69:[3, 65] Operation: 41+24=65
Exploring Operation: 24-3=21, Resulting Numbers: [41, 21]
Generated Node #0,0,3: 69:[41, 21] Operation: 24-3=21
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 69:[3, 65], Operations: ['47-44=3', '41+24=65']
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,69 unequal: No Solution
Exploring Operation: 3+65=68, Resulting Numbers: [68]
68,69 unequal: No Solution
Exploring Operation: 3*65=195, Resulting Numbers: [195]
195,69 unequal: No Solution
No 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: 69:[3, 17], Operations: ['47-44=3', '41-24=17']
Exploring Operation: 3*17=51, Resulting Numbers: [51]
51,69 unequal: No Solution
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,69 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,69 unequal: No Solution
No 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: 69:[24, 38], Operations: ['47-44=3', '41-3=38']
Exploring Operation: 38-24=14, Resulting Numbers: [14]
14,69 unequal: No Solution
Exploring Operation: 24+38=62, Resulting Numbers: [62]
62,69 unequal: No Solution
Exploring Operation: 24*38=912, Resulting Numbers: [912]
912,69 unequal: No Solution
No 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: 69:[41, 21], Operations: ['47-44=3', '24-3=21']
Exploring Operation: 41-21=20, Resulting Numbers: [20]
20,69 unequal: No Solution
Exploring Operation: 41+21=62, Resulting Numbers: [62]
62,69 unequal: No Solution
Exploring Operation: 41*21=861, Resulting Numbers: [861]
861,69 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: 69:[24, 47, 3], Operations: ['44-41=3']
Exploring Operation: 47+3=50, Resulting Numbers: [24, 50]
Generated Node #0,3,0: 69:[24, 50] Operation: 47+3=50
Exploring Operation: 24+47=71, Resulting Numbers: [3, 71]
Generated Node #0,3,1: 69:[3, 71] Operation: 24+47=71
Exploring Operation: 47-3=44, Resulting Numbers: [24, 44]
Generated Node #0,3,2: 69:[24, 44] Operation: 47-3=44
Exploring Operation: 47-24=23, Resulting Numbers: [3, 23]
Generated Node #0,3,3: 69:[3, 23] Operation: 47-24=23
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 69:[3, 23], Operations: ['44-41=3', '47-24=23']
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,69 unequal: No Solution
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,69 unequal: No Solution
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[44, 41, 24, 47], Operations: []
Exploring Operation: 44-41=3, Resulting Numbers: [24, 47, 3]
Generated Node #0,3: 69:[24, 47, 3] Operation: 44-41=3
Moving to Node #0,3
Current State: 69:[24, 47, 3], Operations: ['44-41=3']
Exploring Operation: 47-24=23, Resulting Numbers: [3, 23]
Generated Node #0,3,3: 69:[3, 23] Operation: 47-24=23
Moving to Node #0,3,3
Current State: 69:[3, 23], Operations: ['44-41=3', '47-24=23']
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.97309 | hs_4 | mult_heuristic |
[
3,
88,
88,
6
] | 88 | [
"6/3=2",
"88+88=176",
"176/2=88"
] | Current State: 88:[3, 88, 88, 6], Operations: []
Exploring Operation: 6/3=2, Resulting Numbers: [88, 88, 2]
Generated Node #2: [88, 88, 2] from Operation: 6/3=2
Current State: 88:[88, 88, 2], Operations: ['6/3=2']
Exploring Operation: 88+88=176, Resulting Numbers: [2, 176]
Generated Node #3: [2, 176] from Operation: 88+88=176
Current State: 88:[2, 176], Operations: ['6/3=2', '88+88=176']
Exploring Operation: 176/2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[3, 88, 88, 6], Operations: []
Exploring Operation: 3+6=9, Resulting Numbers: [88, 88, 9]
Generated Node #0,0: 88:[88, 88, 9] Operation: 3+6=9
Exploring Operation: 6-3=3, Resulting Numbers: [88, 88, 3]
Generated Node #0,1: 88:[88, 88, 3] Operation: 6-3=3
Exploring Operation: 3*6=18, Resulting Numbers: [88, 88, 18]
Generated Node #0,2: 88:[88, 88, 18] Operation: 3*6=18
Exploring Operation: 6/3=2, Resulting Numbers: [88, 88, 2]
Generated Node #0,3: 88:[88, 88, 2] Operation: 6/3=2
Start Sub Search at level 1: Moving to Node #0,3
Current State: 88:[88, 88, 2], Operations: ['6/3=2']
Exploring Operation: 88/2=44, Resulting Numbers: [88, 44]
Generated Node #0,3,0: 88:[88, 44] Operation: 88/2=44
Exploring Operation: 88/2=44, Resulting Numbers: [88, 44]
Generated Node #0,3,1: 88:[88, 44] Operation: 88/2=44
Exploring Operation: 88/88=1, Resulting Numbers: [2, 1]
Generated Node #0,3,2: 88:[2, 1] Operation: 88/88=1
Exploring Operation: 88-88=0, Resulting Numbers: [2, 0]
Generated Node #0,3,3: 88:[2, 0] Operation: 88-88=0
Moving to Node #0,3,0
Current State: 88:[88, 44], Operations: ['6/3=2', '88/2=44']
Exploring Operation: 88+44=132, Resulting Numbers: [132]
132,88 unequal: No Solution
Exploring Operation: 88/44=2, Resulting Numbers: [2]
2,88 unequal: No Solution
Exploring Operation: 88-44=44, Resulting Numbers: [44]
44,88 unequal: No Solution
Exploring Operation: 88*44=3872, Resulting Numbers: [3872]
3872,88 unequal: No Solution
Moving to Node #0,3,1
Current State: 88:[88, 44], Operations: ['6/3=2', '88/2=44']
Exploring Operation: 88*44=3872, Resulting Numbers: [3872]
3872,88 unequal: No Solution
Exploring Operation: 88-44=44, Resulting Numbers: [44]
44,88 unequal: No Solution
Exploring Operation: 88+44=132, Resulting Numbers: [132]
132,88 unequal: No Solution
Exploring Operation: 88/44=2, Resulting Numbers: [2]
2,88 unequal: No Solution
Moving to Node #0,3,2
Current State: 88:[2, 1], Operations: ['6/3=2', '88/88=1']
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,88 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,88 unequal: No Solution
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,88 unequal: No Solution
Moving to Node #0,3,3
Current State: 88:[2, 0], Operations: ['6/3=2', '88-88=0']
Exploring Operation: 2*0=0, Resulting Numbers: [0]
0,88 unequal: No Solution
Exploring Operation: 2-0=2, Resulting Numbers: [2]
2,88 unequal: No Solution
Exploring Operation: 2+0=2, Resulting Numbers: [2]
2,88 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 #0,0
Current State: 88:[88, 88, 9], Operations: ['3+6=9']
Exploring Operation: 88-88=0, Resulting Numbers: [9, 0]
Generated Node #0,0,0: 88:[9, 0] Operation: 88-88=0
Exploring Operation: 88+9=97, Resulting Numbers: [88, 97]
Generated Node #0,0,1: 88:[88, 97] Operation: 88+9=97
Exploring Operation: 88-9=79, Resulting Numbers: [88, 79]
Generated Node #0,0,2: 88:[88, 79] Operation: 88-9=79
Exploring Operation: 88/88=1, Resulting Numbers: [9, 1]
Generated Node #0,0,3: 88:[9, 1] Operation: 88/88=1
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 88:[9, 1], Operations: ['3+6=9', '88/88=1']
Exploring Operation: 9/1=9, Resulting Numbers: [9]
9,88 unequal: No Solution
Exploring Operation: 9-1=8, Resulting Numbers: [8]
8,88 unequal: No Solution
Exploring Operation: 9+1=10, Resulting Numbers: [10]
10,88 unequal: No Solution
Exploring Operation: 9*1=9, Resulting Numbers: [9]
9,88 unequal: No Solution
No 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: 88:[9, 0], Operations: ['3+6=9', '88-88=0']
Exploring Operation: 9+0=9, Resulting Numbers: [9]
9,88 unequal: No Solution
Exploring Operation: 9-0=9, Resulting Numbers: [9]
9,88 unequal: No Solution
Exploring Operation: 9*0=0, Resulting Numbers: [0]
0,88 unequal: No Solution
No 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: 88:[88, 97], Operations: ['3+6=9', '88+9=97']
Exploring Operation: 97-88=9, Resulting Numbers: [9]
9,88 unequal: No Solution
Exploring Operation: 88+97=185, Resulting Numbers: [185]
185,88 unequal: No Solution
Exploring Operation: 88*97=8536, Resulting Numbers: [8536]
8536,88 unequal: No Solution
No 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: 88:[88, 79], Operations: ['3+6=9', '88-9=79']
Exploring Operation: 88-79=9, Resulting Numbers: [9]
9,88 unequal: No Solution
Exploring Operation: 88+79=167, Resulting Numbers: [167]
167,88 unequal: No Solution
Exploring Operation: 88*79=6952, Resulting Numbers: [6952]
6952,88 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: 88:[88, 88, 3], Operations: ['6-3=3']
Exploring Operation: 88-88=0, Resulting Numbers: [3, 0]
Generated Node #0,1,0: 88:[3, 0] Operation: 88-88=0
Exploring Operation: 88+3=91, Resulting Numbers: [88, 91]
Generated Node #0,1,1: 88:[88, 91] Operation: 88+3=91
Exploring Operation: 88-3=85, Resulting Numbers: [88, 85]
Generated Node #0,1,2: 88:[88, 85] Operation: 88-3=85
Exploring Operation: 88/88=1, Resulting Numbers: [3, 1]
Generated Node #0,1,3: 88:[3, 1] Operation: 88/88=1
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 88:[3, 1], Operations: ['6-3=3', '88/88=1']
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,88 unequal: No Solution
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,88 unequal: No Solution
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,88 unequal: No Solution
No 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: 88:[3, 0], Operations: ['6-3=3', '88-88=0']
Exploring Operation: 3-0=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Exploring Operation: 3+0=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Exploring Operation: 3*0=0, Resulting Numbers: [0]
0,88 unequal: No Solution
No 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: 88:[88, 91], Operations: ['6-3=3', '88+3=91']
Exploring Operation: 91-88=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Exploring Operation: 88*91=8008, Resulting Numbers: [8008]
8008,88 unequal: No Solution
Exploring Operation: 88+91=179, Resulting Numbers: [179]
179,88 unequal: No Solution
No 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: 88:[88, 85], Operations: ['6-3=3', '88-3=85']
Exploring Operation: 88-85=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Exploring Operation: 88+85=173, Resulting Numbers: [173]
173,88 unequal: No Solution
Exploring Operation: 88*85=7480, Resulting Numbers: [7480]
7480,88 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: 88:[88, 88, 18], Operations: ['3*6=18']
Exploring Operation: 88/88=1, Resulting Numbers: [18, 1]
Generated Node #0,2,0: 88:[18, 1] Operation: 88/88=1
Exploring Operation: 88-88=0, Resulting Numbers: [18, 0]
Generated Node #0,2,1: 88:[18, 0] Operation: 88-88=0
Exploring Operation: 88+18=106, Resulting Numbers: [88, 106]
Generated Node #0,2,2: 88:[88, 106] Operation: 88+18=106
Exploring Operation: 88-18=70, Resulting Numbers: [88, 70]
Generated Node #0,2,3: 88:[88, 70] Operation: 88-18=70
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 88:[18, 1], Operations: ['3*6=18', '88/88=1']
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,88 unequal: No Solution
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,88 unequal: No Solution
Exploring Operation: 18+1=19, Resulting Numbers: [19]
19,88 unequal: No Solution
Exploring Operation: 18/1=18, Resulting Numbers: [18]
18,88 unequal: No Solution
No 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: 88:[18, 0], Operations: ['3*6=18', '88-88=0']
Exploring Operation: 18*0=0, Resulting Numbers: [0]
0,88 unequal: No Solution
Exploring Operation: 18-0=18, Resulting Numbers: [18]
18,88 unequal: No Solution
Exploring Operation: 18+0=18, Resulting Numbers: [18]
18,88 unequal: No Solution
No 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: 88:[88, 106], Operations: ['3*6=18', '88+18=106']
Exploring Operation: 106-88=18, Resulting Numbers: [18]
18,88 unequal: No Solution
Exploring Operation: 88+106=194, Resulting Numbers: [194]
194,88 unequal: No Solution
Exploring Operation: 88*106=9328, Resulting Numbers: [9328]
9328,88 unequal: No Solution
No 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: 88:[88, 70], Operations: ['3*6=18', '88-18=70']
Exploring Operation: 88+70=158, Resulting Numbers: [158]
158,88 unequal: No Solution
Exploring Operation: 88*70=6160, Resulting Numbers: [6160]
6160,88 unequal: No Solution
Exploring Operation: 88-70=18, Resulting Numbers: [18]
18,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
8,
32,
75,
2
] | 88 | [
"32*2=64",
"75-64=11",
"8*11=88"
] | Current State: 88:[8, 32, 75, 2], Operations: []
Exploring Operation: 32*2=64, Resulting Numbers: [8, 75, 64]
Generated Node #2: [8, 75, 64] from Operation: 32*2=64
Current State: 88:[8, 75, 64], Operations: ['32*2=64']
Exploring Operation: 75-64=11, Resulting Numbers: [8, 11]
Generated Node #3: [8, 11] from Operation: 75-64=11
Current State: 88:[8, 11], Operations: ['32*2=64', '75-64=11']
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[8, 32, 75, 2], Operations: []
Exploring Operation: 75-32=43, Resulting Numbers: [8, 2, 43]
Generated Node #0,0: 88:[8, 2, 43] Operation: 75-32=43
Exploring Operation: 32-8=24, Resulting Numbers: [75, 2, 24]
Generated Node #0,1: 88:[75, 2, 24] Operation: 32-8=24
Exploring Operation: 32/8=4, Resulting Numbers: [75, 2, 4]
Generated Node #0,2: 88:[75, 2, 4] Operation: 32/8=4
Exploring Operation: 8+75=83, Resulting Numbers: [32, 2, 83]
Generated Node #0,3: 88:[32, 2, 83] Operation: 8+75=83
Moving to Node #0,0
Current State: 88:[8, 2, 43], Operations: ['75-32=43']
Exploring Operation: 2+43=45, Resulting Numbers: [8, 45]
Generated Node #0,0,0: 88:[8, 45] Operation: 2+43=45
Exploring Operation: 8/2=4, Resulting Numbers: [43, 4]
Generated Node #0,0,1: 88:[43, 4] Operation: 8/2=4
Exploring Operation: 2*43=86, Resulting Numbers: [8, 86]
Generated Node #0,0,2: 88:[8, 86] Operation: 2*43=86
Exploring Operation: 8+2=10, Resulting Numbers: [43, 10]
Generated Node #0,0,3: 88:[43, 10] Operation: 8+2=10
Moving to Node #0,2
Current State: 88:[75, 2, 4], Operations: ['32/8=4']
Exploring Operation: 75+4=79, Resulting Numbers: [2, 79]
Generated Node #0,2,0: 88:[2, 79] Operation: 75+4=79
Exploring Operation: 2*4=8, Resulting Numbers: [75, 8]
Generated Node #0,2,1: 88:[75, 8] Operation: 2*4=8
Exploring Operation: 4-2=2, Resulting Numbers: [75, 2]
Generated Node #0,2,2: 88:[75, 2] Operation: 4-2=2
Exploring Operation: 75+2=77, Resulting Numbers: [4, 77]
Generated Node #0,2,3: 88:[4, 77] Operation: 75+2=77
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 88:[2, 79], Operations: ['32/8=4', '75+4=79']
Exploring Operation: 2+79=81, Resulting Numbers: [81]
81,88 unequal: No Solution
Exploring Operation: 2*79=158, Resulting Numbers: [158]
158,88 unequal: No Solution
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,88 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 #0,2,3
Current State: 88:[4, 77], Operations: ['32/8=4', '75+2=77']
Exploring Operation: 4+77=81, Resulting Numbers: [81]
81,88 unequal: No Solution
Exploring Operation: 4*77=308, Resulting Numbers: [308]
308,88 unequal: No Solution
Exploring Operation: 77-4=73, Resulting Numbers: [73]
73,88 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 #0,2,1
Current State: 88:[75, 8], Operations: ['32/8=4', '2*4=8']
Exploring Operation: 75+8=83, Resulting Numbers: [83]
83,88 unequal: No Solution
Exploring Operation: 75*8=600, Resulting Numbers: [600]
600,88 unequal: No Solution
Exploring Operation: 75-8=67, Resulting Numbers: [67]
67,88 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 #0,2,2
Current State: 88:[75, 2], Operations: ['32/8=4', '4-2=2']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,88 unequal: No Solution
Exploring Operation: 75+2=77, Resulting Numbers: [77]
77,88 unequal: No Solution
Exploring Operation: 75*2=150, Resulting Numbers: [150]
150,88 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: 88:[32, 2, 83], Operations: ['8+75=83']
Exploring Operation: 32/2=16, Resulting Numbers: [83, 16]
Generated Node #0,3,0: 88:[83, 16] Operation: 32/2=16
Exploring Operation: 2+83=85, Resulting Numbers: [32, 85]
Generated Node #0,3,1: 88:[32, 85] Operation: 2+83=85
Exploring Operation: 83-32=51, Resulting Numbers: [2, 51]
Generated Node #0,3,2: 88:[2, 51] Operation: 83-32=51
Exploring Operation: 32-2=30, Resulting Numbers: [83, 30]
Generated Node #0,3,3: 88:[83, 30] Operation: 32-2=30
Moving to Node #0,1
Current State: 88:[75, 2, 24], Operations: ['32-8=24']
Exploring Operation: 75+2=77, Resulting Numbers: [24, 77]
Generated Node #0,1,0: 88:[24, 77] Operation: 75+2=77
Exploring Operation: 24-2=22, Resulting Numbers: [75, 22]
Generated Node #0,1,1: 88:[75, 22] Operation: 24-2=22
Exploring Operation: 75-24=51, Resulting Numbers: [2, 51]
Generated Node #0,1,2: 88:[2, 51] Operation: 75-24=51
Exploring Operation: 75+24=99, Resulting Numbers: [2, 99]
Generated Node #0,1,3: 88:[2, 99] Operation: 75+24=99
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 88:[2, 51], Operations: ['32-8=24', '75-24=51']
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,88 unequal: No Solution
Exploring Operation: 2*51=102, Resulting Numbers: [102]
102,88 unequal: No Solution
Exploring Operation: 2+51=53, Resulting Numbers: [53]
53,88 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 #0,1,3
Current State: 88:[2, 99], Operations: ['32-8=24', '75+24=99']
Exploring Operation: 2*99=198, Resulting Numbers: [198]
198,88 unequal: No Solution
Exploring Operation: 2+99=101, Resulting Numbers: [101]
101,88 unequal: No Solution
Exploring Operation: 99-2=97, Resulting Numbers: [97]
97,88 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 #0,1,0
Current State: 88:[24, 77], Operations: ['32-8=24', '75+2=77']
Exploring Operation: 24*77=1848, Resulting Numbers: [1848]
1848,88 unequal: No Solution
Exploring Operation: 24+77=101, Resulting Numbers: [101]
101,88 unequal: No Solution
Exploring Operation: 77-24=53, Resulting Numbers: [53]
53,88 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 #0,1,1
Current State: 88:[75, 22], Operations: ['32-8=24', '24-2=22']
Exploring Operation: 75+22=97, Resulting Numbers: [97]
97,88 unequal: No Solution
Exploring Operation: 75*22=1650, Resulting Numbers: [1650]
1650,88 unequal: No Solution
Exploring Operation: 75-22=53, Resulting Numbers: [53]
53,88 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: 88:[8, 45], Operations: ['75-32=43', '2+43=45']
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,88 unequal: No Solution
Exploring Operation: 8+45=53, Resulting Numbers: [53]
53,88 unequal: No Solution
Exploring Operation: 8*45=360, Resulting Numbers: [360]
360,88 unequal: No Solution
Moving to Node #0,0,1
Current State: 88:[43, 4], Operations: ['75-32=43', '8/2=4']
Exploring Operation: 43*4=172, Resulting Numbers: [172]
172,88 unequal: No Solution
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,88 unequal: No Solution
Exploring Operation: 43+4=47, Resulting Numbers: [47]
47,88 unequal: No Solution
Moving to Node #0,0,2
Current State: 88:[8, 86], Operations: ['75-32=43', '2*43=86']
Exploring Operation: 8*86=688, Resulting Numbers: [688]
688,88 unequal: No Solution
Exploring Operation: 8+86=94, Resulting Numbers: [94]
94,88 unequal: No Solution
Exploring Operation: 86-8=78, Resulting Numbers: [78]
78,88 unequal: No Solution
Moving to Node #0,0,3
Current State: 88:[43, 10], Operations: ['75-32=43', '8+2=10']
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,88 unequal: No Solution
Exploring Operation: 43*10=430, Resulting Numbers: [430]
430,88 unequal: No Solution
Exploring Operation: 43+10=53, Resulting Numbers: [53]
53,88 unequal: No Solution
Moving to Node #0,3,2
Current State: 88:[2, 51], Operations: ['8+75=83', '83-32=51']
Exploring Operation: 2+51=53, Resulting Numbers: [53]
53,88 unequal: No Solution
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,88 unequal: No Solution
Exploring Operation: 2*51=102, Resulting Numbers: [102]
102,88 unequal: No Solution
Moving to Node #0,3,0
Current State: 88:[83, 16], Operations: ['8+75=83', '32/2=16']
Exploring Operation: 83-16=67, Resulting Numbers: [67]
67,88 unequal: No Solution
Exploring Operation: 83+16=99, Resulting Numbers: [99]
99,88 unequal: No Solution
Exploring Operation: 83*16=1328, Resulting Numbers: [1328]
1328,88 unequal: No Solution
Moving to Node #0,3,3
Current State: 88:[83, 30], Operations: ['8+75=83', '32-2=30']
Exploring Operation: 83*30=2490, Resulting Numbers: [2490]
2490,88 unequal: No Solution
Exploring Operation: 83+30=113, Resulting Numbers: [113]
113,88 unequal: No Solution
Exploring Operation: 83-30=53, Resulting Numbers: [53]
53,88 unequal: No Solution
Moving to Node #0,3,1
Current State: 88:[32, 85], Operations: ['8+75=83', '2+83=85']
Exploring Operation: 32*85=2720, Resulting Numbers: [2720]
2720,88 unequal: No Solution
Exploring Operation: 32+85=117, Resulting Numbers: [117]
117,88 unequal: No Solution
Exploring Operation: 85-32=53, Resulting Numbers: [53]
53,88 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
69,
4,
59,
92
] | 75 | [
"69+92=161",
"4*59=236",
"236-161=75"
] | Current State: 75:[69, 4, 59, 92], Operations: []
Exploring Operation: 69+92=161, Resulting Numbers: [4, 59, 161]
Generated Node #2: [4, 59, 161] from Operation: 69+92=161
Current State: 75:[4, 59, 161], Operations: ['69+92=161']
Exploring Operation: 4*59=236, Resulting Numbers: [161, 236]
Generated Node #3: [161, 236] from Operation: 4*59=236
Current State: 75:[161, 236], Operations: ['69+92=161', '4*59=236']
Exploring Operation: 236-161=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[69, 4, 59, 92], Operations: []
Exploring Operation: 92-69=23, Resulting Numbers: [4, 59, 23]
Generated Node #0,0: 75:[4, 59, 23] Operation: 92-69=23
Exploring Operation: 92-59=33, Resulting Numbers: [69, 4, 33]
Generated Node #0,1: 75:[69, 4, 33] Operation: 92-59=33
Moving to Node #0,1
Current State: 75:[69, 4, 33], Operations: ['92-59=33']
Exploring Operation: 69+4=73, Resulting Numbers: [33, 73]
Generated Node #0,1,0: 75:[33, 73] Operation: 69+4=73
Exploring Operation: 33-4=29, Resulting Numbers: [69, 29]
Generated Node #0,1,1: 75:[69, 29] Operation: 33-4=29
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 75:[33, 73], Operations: ['92-59=33', '69+4=73']
Exploring Operation: 33+73=106, Resulting Numbers: [106]
106,75 unequal: No Solution
Exploring Operation: 73-33=40, Resulting Numbers: [40]
40,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 75:[69, 29], Operations: ['92-59=33', '33-4=29']
Exploring Operation: 69-29=40, Resulting Numbers: [40]
40,75 unequal: No Solution
Exploring Operation: 69+29=98, Resulting Numbers: [98]
98,75 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: 75:[4, 59, 23], Operations: ['92-69=23']
Exploring Operation: 59-23=36, Resulting Numbers: [4, 36]
Generated Node #0,0,0: 75:[4, 36] Operation: 59-23=36
Exploring Operation: 59+23=82, Resulting Numbers: [4, 82]
Generated Node #0,0,1: 75:[4, 82] Operation: 59+23=82
Moving to Node #0,0,1
Current State: 75:[4, 82], Operations: ['92-69=23', '59+23=82']
Exploring Operation: 82-4=78, Resulting Numbers: [78]
78,75 unequal: No Solution
Exploring Operation: 4+82=86, Resulting Numbers: [86]
86,75 unequal: No Solution
Moving to Node #0,0,0
Current State: 75:[4, 36], Operations: ['92-69=23', '59-23=36']
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,75 unequal: No Solution
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,75 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
35,
24,
34,
60
] | 37 | [
"35-24=11",
"60-34=26",
"11+26=37"
] | Current State: 37:[35, 24, 34, 60], Operations: []
Exploring Operation: 35-24=11, Resulting Numbers: [34, 60, 11]
Generated Node #2: [34, 60, 11] from Operation: 35-24=11
Current State: 37:[34, 60, 11], Operations: ['35-24=11']
Exploring Operation: 60-34=26, Resulting Numbers: [11, 26]
Generated Node #3: [11, 26] from Operation: 60-34=26
Current State: 37:[11, 26], Operations: ['35-24=11', '60-34=26']
Exploring Operation: 11+26=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[35, 24, 34, 60], Operations: []
Exploring Operation: 60-24=36, Resulting Numbers: [35, 34, 36]
Generated Node #0,0: 37:[35, 34, 36] Operation: 60-24=36
Moving to Node #0,0
Current State: 37:[35, 34, 36], Operations: ['60-24=36']
Exploring Operation: 35+34=69, Resulting Numbers: [36, 69]
Generated Node #0,0,0: 37:[36, 69] Operation: 35+34=69
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[36, 69], Operations: ['60-24=36', '35+34=69']
Exploring Operation: 69-36=33, Resulting Numbers: [33]
33,37 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 |
[
77,
39,
16,
22
] | 44 | [
"77-39=38",
"22-16=6",
"38+6=44"
] | Current State: 44:[77, 39, 16, 22], Operations: []
Exploring Operation: 77-39=38, Resulting Numbers: [16, 22, 38]
Generated Node #2: [16, 22, 38] from Operation: 77-39=38
Current State: 44:[16, 22, 38], Operations: ['77-39=38']
Exploring Operation: 22-16=6, Resulting Numbers: [38, 6]
Generated Node #3: [38, 6] from Operation: 22-16=6
Current State: 44:[38, 6], Operations: ['77-39=38', '22-16=6']
Exploring Operation: 38+6=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[77, 39, 16, 22], Operations: []
Exploring Operation: 77-22=55, Resulting Numbers: [39, 16, 55]
Generated Node #0,0: 44:[39, 16, 55] Operation: 77-22=55
Exploring Operation: 77-39=38, Resulting Numbers: [16, 22, 38]
Generated Node #0,1: 44:[16, 22, 38] Operation: 77-39=38
Moving to Node #0,1
Current State: 44:[16, 22, 38], Operations: ['77-39=38']
Exploring Operation: 22-16=6, Resulting Numbers: [38, 6]
Generated Node #0,1,0: 44:[38, 6] Operation: 22-16=6
Exploring Operation: 38-16=22, Resulting Numbers: [22, 22]
Generated Node #0,1,1: 44:[22, 22] Operation: 38-16=22
Moving to Node #0,0
Current State: 44:[39, 16, 55], Operations: ['77-22=55']
Exploring Operation: 55-16=39, Resulting Numbers: [39, 39]
Generated Node #0,0,0: 44:[39, 39] Operation: 55-16=39
Exploring Operation: 55-39=16, Resulting Numbers: [16, 16]
Generated Node #0,0,1: 44:[16, 16] Operation: 55-39=16
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 44:[39, 39], Operations: ['77-22=55', '55-16=39']
Exploring Operation: 39-39=0, Resulting Numbers: [0]
0,44 unequal: No Solution
Exploring Operation: 39/39=1, Resulting Numbers: [1]
1,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 44:[16, 16], Operations: ['77-22=55', '55-39=16']
Exploring Operation: 16/16=1, Resulting Numbers: [1]
1,44 unequal: No Solution
Exploring Operation: 16-16=0, Resulting Numbers: [0]
0,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 44:[22, 22], Operations: ['77-39=38', '38-16=22']
Exploring Operation: 22/22=1, Resulting Numbers: [1]
1,44 unequal: No Solution
Exploring Operation: 22+22=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[77, 39, 16, 22], Operations: []
Exploring Operation: 77-39=38, Resulting Numbers: [16, 22, 38]
Generated Node #0,1: 44:[16, 22, 38] Operation: 77-39=38
Moving to Node #0,1
Current State: 44:[16, 22, 38], Operations: ['77-39=38']
Exploring Operation: 38-16=22, Resulting Numbers: [22, 22]
Generated Node #0,1,1: 44:[22, 22] Operation: 38-16=22
Moving to Node #0,1,1
Current State: 44:[22, 22], Operations: ['77-39=38', '38-16=22']
Exploring Operation: 22+22=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 0.986111 | hs_2 | mult_heuristic |
[
53,
21,
92,
46
] | 37 | [
"53+21=74",
"92/46=2",
"74/2=37"
] | Current State: 37:[53, 21, 92, 46], Operations: []
Exploring Operation: 53+21=74, Resulting Numbers: [92, 46, 74]
Generated Node #2: [92, 46, 74] from Operation: 53+21=74
Current State: 37:[92, 46, 74], Operations: ['53+21=74']
Exploring Operation: 92/46=2, Resulting Numbers: [74, 2]
Generated Node #3: [74, 2] from Operation: 92/46=2
Current State: 37:[74, 2], Operations: ['53+21=74', '92/46=2']
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[53, 21, 92, 46], Operations: []
Exploring Operation: 92-53=39, Resulting Numbers: [21, 46, 39]
Generated Node #0,0: 37:[21, 46, 39] Operation: 92-53=39
Moving to Node #0,0
Current State: 37:[21, 46, 39], Operations: ['92-53=39']
Exploring Operation: 46-21=25, Resulting Numbers: [39, 25]
Generated Node #0,0,0: 37:[39, 25] Operation: 46-21=25
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[39, 25], Operations: ['92-53=39', '46-21=25']
Exploring Operation: 39-25=14, Resulting Numbers: [14]
14,37 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 |
[
12,
33,
32,
31
] | 26 | [
"33-31=2",
"12/2=6",
"32-6=26"
] | Current State: 26:[12, 33, 32, 31], Operations: []
Exploring Operation: 33-31=2, Resulting Numbers: [12, 32, 2]
Generated Node #2: [12, 32, 2] from Operation: 33-31=2
Current State: 26:[12, 32, 2], Operations: ['33-31=2']
Exploring Operation: 12/2=6, Resulting Numbers: [32, 6]
Generated Node #3: [32, 6] from Operation: 12/2=6
Current State: 26:[32, 6], Operations: ['33-31=2', '12/2=6']
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[12, 33, 32, 31], Operations: []
Exploring Operation: 33-32=1, Resulting Numbers: [12, 31, 1]
Generated Node #0,0: 26:[12, 31, 1] Operation: 33-32=1
Moving to Node #0,0
Current State: 26:[12, 31, 1], Operations: ['33-32=1']
Exploring Operation: 12+1=13, Resulting Numbers: [31, 13]
Generated Node #0,0,0: 26:[31, 13] Operation: 12+1=13
Moving to Node #0,0,0
Current State: 26:[31, 13], Operations: ['33-32=1', '12+1=13']
Exploring Operation: 31-13=18, Resulting Numbers: [18]
18,26 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
57,
3,
5,
53
] | 11 | [
"57-53=4",
"3*5=15",
"15-4=11"
] | Current State: 11:[57, 3, 5, 53], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [3, 5, 4]
Generated Node #2: [3, 5, 4] from Operation: 57-53=4
Current State: 11:[3, 5, 4], Operations: ['57-53=4']
Exploring Operation: 3*5=15, Resulting Numbers: [4, 15]
Generated Node #3: [4, 15] from Operation: 3*5=15
Current State: 11:[4, 15], Operations: ['57-53=4', '3*5=15']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[57, 3, 5, 53], Operations: []
Exploring Operation: 57-3=54, Resulting Numbers: [5, 53, 54]
Generated Node #0,0: 11:[5, 53, 54] Operation: 57-3=54
Exploring Operation: 57-53=4, Resulting Numbers: [3, 5, 4]
Generated Node #0,1: 11:[3, 5, 4] Operation: 57-53=4
Exploring Operation: 57/3=19, Resulting Numbers: [5, 53, 19]
Generated Node #0,2: 11:[5, 53, 19] Operation: 57/3=19
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[3, 5, 4], Operations: ['57-53=4']
Exploring Operation: 3*4=12, Resulting Numbers: [5, 12]
Generated Node #0,1,0: 11:[5, 12] Operation: 3*4=12
Exploring Operation: 3+5=8, Resulting Numbers: [4, 8]
Generated Node #0,1,1: 11:[4, 8] Operation: 3+5=8
Exploring Operation: 3+4=7, Resulting Numbers: [5, 7]
Generated Node #0,1,2: 11:[5, 7] Operation: 3+4=7
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 11:[5, 12], Operations: ['57-53=4', '3*4=12']
Exploring Operation: 5+12=17, Resulting Numbers: [17]
17,11 unequal: No Solution
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,11 unequal: No Solution
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,11 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:[4, 8], Operations: ['57-53=4', '3+5=8']
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,11 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:[5, 7], Operations: ['57-53=4', '3+4=7']
Exploring Operation: 5+7=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,11 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,11 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 #0,2
Current State: 11:[5, 53, 19], Operations: ['57/3=19']
Exploring Operation: 19-5=14, Resulting Numbers: [53, 14]
Generated Node #0,2,0: 11:[53, 14] Operation: 19-5=14
Exploring Operation: 53-5=48, Resulting Numbers: [19, 48]
Generated Node #0,2,1: 11:[19, 48] Operation: 53-5=48
Exploring Operation: 53-19=34, Resulting Numbers: [5, 34]
Generated Node #0,2,2: 11:[5, 34] Operation: 53-19=34
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 11:[5, 34], Operations: ['57/3=19', '53-19=34']
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,11 unequal: No Solution
Exploring Operation: 5*34=170, Resulting Numbers: [170]
170,11 unequal: No Solution
Exploring Operation: 5+34=39, Resulting Numbers: [39]
39,11 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 #0,2,0
Current State: 11:[53, 14], Operations: ['57/3=19', '19-5=14']
Exploring Operation: 53*14=742, Resulting Numbers: [742]
742,11 unequal: No Solution
Exploring Operation: 53+14=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Exploring Operation: 53-14=39, Resulting Numbers: [39]
39,11 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 #0,2,1
Current State: 11:[19, 48], Operations: ['57/3=19', '53-5=48']
Exploring Operation: 48-19=29, Resulting Numbers: [29]
29,11 unequal: No Solution
Exploring Operation: 19+48=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Exploring Operation: 19*48=912, Resulting Numbers: [912]
912,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[5, 53, 54], Operations: ['57-3=54']
Exploring Operation: 53-5=48, Resulting Numbers: [54, 48]
Generated Node #0,0,0: 11:[54, 48] Operation: 53-5=48
Exploring Operation: 54-5=49, Resulting Numbers: [53, 49]
Generated Node #0,0,1: 11:[53, 49] Operation: 54-5=49
Exploring Operation: 54-53=1, Resulting Numbers: [5, 1]
Generated Node #0,0,2: 11:[5, 1] Operation: 54-53=1
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 11:[5, 1], Operations: ['57-3=54', '54-53=1']
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,11 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,11 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,11 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:[54, 48], Operations: ['57-3=54', '53-5=48']
Exploring Operation: 54*48=2592, Resulting Numbers: [2592]
2592,11 unequal: No Solution
Exploring Operation: 54-48=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Exploring Operation: 54+48=102, Resulting Numbers: [102]
102,11 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:[53, 49], Operations: ['57-3=54', '54-5=49']
Exploring Operation: 53-49=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Exploring Operation: 53+49=102, Resulting Numbers: [102]
102,11 unequal: No Solution
Exploring Operation: 53*49=2597, Resulting Numbers: [2597]
2597,11 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
No solution found.
| 0 | hs_3 | mult_heuristic |
[
87,
94,
39,
19
] | 51 | [
"94-87=7",
"39+19=58",
"58-7=51"
] | Current State: 51:[87, 94, 39, 19], Operations: []
Exploring Operation: 94-87=7, Resulting Numbers: [39, 19, 7]
Generated Node #2: [39, 19, 7] from Operation: 94-87=7
Current State: 51:[39, 19, 7], Operations: ['94-87=7']
Exploring Operation: 39+19=58, Resulting Numbers: [7, 58]
Generated Node #3: [7, 58] from Operation: 39+19=58
Current State: 51:[7, 58], Operations: ['94-87=7', '39+19=58']
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[87, 94, 39, 19], Operations: []
Exploring Operation: 87-39=48, Resulting Numbers: [94, 19, 48]
Generated Node #0,0: 51:[94, 19, 48] Operation: 87-39=48
Exploring Operation: 94-39=55, Resulting Numbers: [87, 19, 55]
Generated Node #0,1: 51:[87, 19, 55] Operation: 94-39=55
Exploring Operation: 94-87=7, Resulting Numbers: [39, 19, 7]
Generated Node #0,2: 51:[39, 19, 7] Operation: 94-87=7
Moving to Node #0,2
Current State: 51:[39, 19, 7], Operations: ['94-87=7']
Exploring Operation: 39-19=20, Resulting Numbers: [7, 20]
Generated Node #0,2,0: 51:[7, 20] Operation: 39-19=20
Exploring Operation: 39+19=58, Resulting Numbers: [7, 58]
Generated Node #0,2,1: 51:[7, 58] Operation: 39+19=58
Exploring Operation: 39+7=46, Resulting Numbers: [19, 46]
Generated Node #0,2,2: 51:[19, 46] Operation: 39+7=46
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 51:[7, 20], Operations: ['94-87=7', '39-19=20']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,51 unequal: No Solution
Exploring Operation: 7*20=140, Resulting Numbers: [140]
140,51 unequal: No Solution
Exploring Operation: 7+20=27, Resulting Numbers: [27]
27,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 51:[19, 46], Operations: ['94-87=7', '39+7=46']
Exploring Operation: 19*46=874, Resulting Numbers: [874]
874,51 unequal: No Solution
Exploring Operation: 46-19=27, Resulting Numbers: [27]
27,51 unequal: No Solution
Exploring Operation: 19+46=65, Resulting Numbers: [65]
65,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 51:[7, 58], Operations: ['94-87=7', '39+19=58']
Exploring Operation: 7*58=406, Resulting Numbers: [406]
406,51 unequal: No Solution
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[87, 94, 39, 19], Operations: []
Exploring Operation: 94-87=7, Resulting Numbers: [39, 19, 7]
Generated Node #0,2: 51:[39, 19, 7] Operation: 94-87=7
Moving to Node #0,2
Current State: 51:[39, 19, 7], Operations: ['94-87=7']
Exploring Operation: 39+19=58, Resulting Numbers: [7, 58]
Generated Node #0,2,1: 51:[7, 58] Operation: 39+19=58
Moving to Node #0,2,1
Current State: 51:[7, 58], Operations: ['94-87=7', '39+19=58']
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | sum_heuristic |
[
15,
6,
42,
54
] | 87 | [
"15-6=9",
"42+54=96",
"96-9=87"
] | Current State: 87:[15, 6, 42, 54], Operations: []
Exploring Operation: 15-6=9, Resulting Numbers: [42, 54, 9]
Generated Node #2: [42, 54, 9] from Operation: 15-6=9
Current State: 87:[42, 54, 9], Operations: ['15-6=9']
Exploring Operation: 42+54=96, Resulting Numbers: [9, 96]
Generated Node #3: [9, 96] from Operation: 42+54=96
Current State: 87:[9, 96], Operations: ['15-6=9', '42+54=96']
Exploring Operation: 96-9=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[15, 6, 42, 54], Operations: []
Exploring Operation: 54-42=12, Resulting Numbers: [15, 6, 12]
Generated Node #0,0: 87:[15, 6, 12] Operation: 54-42=12
Exploring Operation: 42-15=27, Resulting Numbers: [6, 54, 27]
Generated Node #0,1: 87:[6, 54, 27] Operation: 42-15=27
Exploring Operation: 42+54=96, Resulting Numbers: [15, 6, 96]
Generated Node #0,2: 87:[15, 6, 96] Operation: 42+54=96
Exploring Operation: 54-15=39, Resulting Numbers: [6, 42, 39]
Generated Node #0,3: 87:[6, 42, 39] Operation: 54-15=39
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[15, 6, 12], Operations: ['54-42=12']
Exploring Operation: 15*6=90, Resulting Numbers: [12, 90]
Generated Node #0,0,0: 87:[12, 90] Operation: 15*6=90
Exploring Operation: 12/6=2, Resulting Numbers: [15, 2]
Generated Node #0,0,1: 87:[15, 2] Operation: 12/6=2
Exploring Operation: 15-12=3, Resulting Numbers: [6, 3]
Generated Node #0,0,2: 87:[6, 3] Operation: 15-12=3
Exploring Operation: 15+12=27, Resulting Numbers: [6, 27]
Generated Node #0,0,3: 87:[6, 27] Operation: 15+12=27
Moving to Node #0,0,2
Current State: 87:[6, 3], Operations: ['54-42=12', '15-12=3']
Exploring Operation: 6+3=9, Resulting Numbers: [9]
9,87 unequal: No Solution
Exploring Operation: 6*3=18, Resulting Numbers: [18]
18,87 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,87 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,87 unequal: No Solution
Moving to Node #0,0,3
Current State: 87:[6, 27], Operations: ['54-42=12', '15+12=27']
Exploring Operation: 6+27=33, Resulting Numbers: [33]
33,87 unequal: No Solution
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,87 unequal: No Solution
Exploring Operation: 6*27=162, Resulting Numbers: [162]
162,87 unequal: No Solution
Moving to Node #0,0,0
Current State: 87:[12, 90], Operations: ['54-42=12', '15*6=90']
Exploring Operation: 12*90=1080, Resulting Numbers: [1080]
1080,87 unequal: No Solution
Exploring Operation: 12+90=102, Resulting Numbers: [102]
102,87 unequal: No Solution
Exploring Operation: 90-12=78, Resulting Numbers: [78]
78,87 unequal: No Solution
Moving to Node #0,0,1
Current State: 87:[15, 2], Operations: ['54-42=12', '12/6=2']
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,87 unequal: No Solution
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,87 unequal: No Solution
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,87 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 #0,2
Current State: 87:[15, 6, 96], Operations: ['42+54=96']
Exploring Operation: 15*6=90, Resulting Numbers: [96, 90]
Generated Node #0,2,0: 87:[96, 90] Operation: 15*6=90
Exploring Operation: 15-6=9, Resulting Numbers: [96, 9]
Generated Node #0,2,1: 87:[96, 9] Operation: 15-6=9
Exploring Operation: 96-6=90, Resulting Numbers: [15, 90]
Generated Node #0,2,2: 87:[15, 90] Operation: 96-6=90
Exploring Operation: 96-15=81, Resulting Numbers: [6, 81]
Generated Node #0,2,3: 87:[6, 81] Operation: 96-15=81
Moving to Node #0,2,3
Current State: 87:[6, 81], Operations: ['42+54=96', '96-15=81']
Exploring Operation: 6+81=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[15, 6, 42, 54], Operations: []
Exploring Operation: 42+54=96, Resulting Numbers: [15, 6, 96]
Generated Node #0,2: 87:[15, 6, 96] Operation: 42+54=96
Moving to Node #0,2
Current State: 87:[15, 6, 96], Operations: ['42+54=96']
Exploring Operation: 96-15=81, Resulting Numbers: [6, 81]
Generated Node #0,2,3: 87:[6, 81] Operation: 96-15=81
Moving to Node #0,2,3
Current State: 87:[6, 81], Operations: ['42+54=96', '96-15=81']
Exploring Operation: 6+81=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_4 | sum_heuristic |
[
61,
56,
10,
22
] | 72 | [
"61-56=5",
"10*5=50",
"22+50=72"
] | Current State: 72:[61, 56, 10, 22], Operations: []
Exploring Operation: 61-56=5, Resulting Numbers: [10, 22, 5]
Generated Node #2: [10, 22, 5] from Operation: 61-56=5
Current State: 72:[10, 22, 5], Operations: ['61-56=5']
Exploring Operation: 10*5=50, Resulting Numbers: [22, 50]
Generated Node #3: [22, 50] from Operation: 10*5=50
Current State: 72:[22, 50], Operations: ['61-56=5', '10*5=50']
Exploring Operation: 22+50=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[61, 56, 10, 22], Operations: []
Exploring Operation: 61-56=5, Resulting Numbers: [10, 22, 5]
Generated Node #0,0: 72:[10, 22, 5] Operation: 61-56=5
Exploring Operation: 56-22=34, Resulting Numbers: [61, 10, 34]
Generated Node #0,1: 72:[61, 10, 34] Operation: 56-22=34
Exploring Operation: 56+22=78, Resulting Numbers: [61, 10, 78]
Generated Node #0,2: 72:[61, 10, 78] Operation: 56+22=78
Moving to Node #0,0
Current State: 72:[10, 22, 5], Operations: ['61-56=5']
Exploring Operation: 10/5=2, Resulting Numbers: [22, 2]
Generated Node #0,0,0: 72:[22, 2] Operation: 10/5=2
Exploring Operation: 22-10=12, Resulting Numbers: [5, 12]
Generated Node #0,0,1: 72:[5, 12] Operation: 22-10=12
Exploring Operation: 22-5=17, Resulting Numbers: [10, 17]
Generated Node #0,0,2: 72:[10, 17] Operation: 22-5=17
Moving to Node #0,1
Current State: 72:[61, 10, 34], Operations: ['56-22=34']
Exploring Operation: 61+10=71, Resulting Numbers: [34, 71]
Generated Node #0,1,0: 72:[34, 71] Operation: 61+10=71
Exploring Operation: 34-10=24, Resulting Numbers: [61, 24]
Generated Node #0,1,1: 72:[61, 24] Operation: 34-10=24
Exploring Operation: 61-34=27, Resulting Numbers: [10, 27]
Generated Node #0,1,2: 72:[10, 27] Operation: 61-34=27
Moving to Node #0,2
Current State: 72:[61, 10, 78], Operations: ['56+22=78']
Exploring Operation: 78-61=17, Resulting Numbers: [10, 17]
Generated Node #0,2,0: 72:[10, 17] Operation: 78-61=17
Exploring Operation: 61+10=71, Resulting Numbers: [78, 71]
Generated Node #0,2,1: 72:[78, 71] Operation: 61+10=71
Exploring Operation: 78-10=68, Resulting Numbers: [61, 68]
Generated Node #0,2,2: 72:[61, 68] Operation: 78-10=68
Moving to Node #0,0,1
Current State: 72:[5, 12], Operations: ['61-56=5', '22-10=12']
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,72 unequal: No Solution
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,72 unequal: No Solution
Exploring Operation: 5+12=17, Resulting Numbers: [17]
17,72 unequal: No Solution
Moving to Node #0,0,2
Current State: 72:[10, 17], Operations: ['61-56=5', '22-5=17']
Exploring Operation: 10+17=27, Resulting Numbers: [27]
27,72 unequal: No Solution
Exploring Operation: 10*17=170, Resulting Numbers: [170]
170,72 unequal: No Solution
Exploring Operation: 17-10=7, Resulting Numbers: [7]
7,72 unequal: No Solution
Moving to Node #0,2,0
Current State: 72:[10, 17], Operations: ['56+22=78', '78-61=17']
Exploring Operation: 10+17=27, Resulting Numbers: [27]
27,72 unequal: No Solution
Exploring Operation: 17-10=7, Resulting Numbers: [7]
7,72 unequal: No Solution
Exploring Operation: 10*17=170, Resulting Numbers: [170]
170,72 unequal: No Solution
Moving to Node #0,0,0
Current State: 72:[22, 2], Operations: ['61-56=5', '10/5=2']
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,72 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,72 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,72 unequal: No Solution
Moving to Node #0,1,0
Current State: 72:[34, 71], Operations: ['56-22=34', '61+10=71']
Exploring Operation: 34+71=105, Resulting Numbers: [105]
105,72 unequal: No Solution
Exploring Operation: 71-34=37, Resulting Numbers: [37]
37,72 unequal: No Solution
Exploring Operation: 34*71=2414, Resulting Numbers: [2414]
2414,72 unequal: No Solution
Moving to Node #0,1,2
Current State: 72:[10, 27], Operations: ['56-22=34', '61-34=27']
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,72 unequal: No Solution
Exploring Operation: 10+27=37, Resulting Numbers: [37]
37,72 unequal: No Solution
Exploring Operation: 10*27=270, Resulting Numbers: [270]
270,72 unequal: No Solution
Moving to Node #0,2,1
Current State: 72:[78, 71], Operations: ['56+22=78', '61+10=71']
Exploring Operation: 78*71=5538, Resulting Numbers: [5538]
5538,72 unequal: No Solution
Exploring Operation: 78-71=7, Resulting Numbers: [7]
7,72 unequal: No Solution
Exploring Operation: 78+71=149, Resulting Numbers: [149]
149,72 unequal: No Solution
Moving to Node #0,1,1
Current State: 72:[61, 24], Operations: ['56-22=34', '34-10=24']
Exploring Operation: 61*24=1464, Resulting Numbers: [1464]
1464,72 unequal: No Solution
Exploring Operation: 61+24=85, Resulting Numbers: [85]
85,72 unequal: No Solution
Exploring Operation: 61-24=37, Resulting Numbers: [37]
37,72 unequal: No Solution
Moving to Node #0,2,2
Current State: 72:[61, 68], Operations: ['56+22=78', '78-10=68']
Exploring Operation: 68-61=7, Resulting Numbers: [7]
7,72 unequal: No Solution
Exploring Operation: 61*68=4148, Resulting Numbers: [4148]
4148,72 unequal: No Solution
Exploring Operation: 61+68=129, Resulting Numbers: [129]
129,72 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
96,
57,
64,
24
] | 76 | [
"96-64=32",
"57*32=1824",
"1824/24=76"
] | Current State: 76:[96, 57, 64, 24], Operations: []
Exploring Operation: 96-64=32, Resulting Numbers: [57, 24, 32]
Generated Node #2: [57, 24, 32] from Operation: 96-64=32
Current State: 76:[57, 24, 32], Operations: ['96-64=32']
Exploring Operation: 57*32=1824, Resulting Numbers: [24, 1824]
Generated Node #3: [24, 1824] from Operation: 57*32=1824
Current State: 76:[24, 1824], Operations: ['96-64=32', '57*32=1824']
Exploring Operation: 1824/24=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[96, 57, 64, 24], Operations: []
Exploring Operation: 96-64=32, Resulting Numbers: [57, 24, 32]
Generated Node #0,0: 76:[57, 24, 32] Operation: 96-64=32
Exploring Operation: 64-57=7, Resulting Numbers: [96, 24, 7]
Generated Node #0,1: 76:[96, 24, 7] Operation: 64-57=7
Exploring Operation: 96/24=4, Resulting Numbers: [57, 64, 4]
Generated Node #0,2: 76:[57, 64, 4] Operation: 96/24=4
Exploring Operation: 96-57=39, Resulting Numbers: [64, 24, 39]
Generated Node #0,3: 76:[64, 24, 39] Operation: 96-57=39
Start Sub Search at level 1: Moving to Node #0,3
Current State: 76:[64, 24, 39], Operations: ['96-57=39']
Exploring Operation: 64-39=25, Resulting Numbers: [24, 25]
Generated Node #0,3,0: 76:[24, 25] Operation: 64-39=25
Exploring Operation: 64-24=40, Resulting Numbers: [39, 40]
Generated Node #0,3,1: 76:[39, 40] Operation: 64-24=40
Exploring Operation: 39-24=15, Resulting Numbers: [64, 15]
Generated Node #0,3,2: 76:[64, 15] Operation: 39-24=15
Exploring Operation: 64+24=88, Resulting Numbers: [39, 88]
Generated Node #0,3,3: 76:[39, 88] Operation: 64+24=88
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 76:[39, 40], Operations: ['96-57=39', '64-24=40']
Exploring Operation: 40-39=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 39+40=79, Resulting Numbers: [79]
79,76 unequal: No Solution
Exploring Operation: 39*40=1560, Resulting Numbers: [1560]
1560,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 76:[24, 25], Operations: ['96-57=39', '64-39=25']
Exploring Operation: 25-24=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 24*25=600, Resulting Numbers: [600]
600,76 unequal: No Solution
Exploring Operation: 24+25=49, Resulting Numbers: [49]
49,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 76:[39, 88], Operations: ['96-57=39', '64+24=88']
Exploring Operation: 88-39=49, Resulting Numbers: [49]
49,76 unequal: No Solution
Exploring Operation: 39+88=127, Resulting Numbers: [127]
127,76 unequal: No Solution
Exploring Operation: 39*88=3432, Resulting Numbers: [3432]
3432,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 76:[64, 15], Operations: ['96-57=39', '39-24=15']
Exploring Operation: 64-15=49, Resulting Numbers: [49]
49,76 unequal: No Solution
Exploring Operation: 64+15=79, Resulting Numbers: [79]
79,76 unequal: No Solution
Exploring Operation: 64*15=960, Resulting Numbers: [960]
960,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[96, 24, 7], Operations: ['64-57=7']
Exploring Operation: 96-7=89, Resulting Numbers: [24, 89]
Generated Node #0,1,0: 76:[24, 89] Operation: 96-7=89
Exploring Operation: 96-24=72, Resulting Numbers: [7, 72]
Generated Node #0,1,1: 76:[7, 72] Operation: 96-24=72
Exploring Operation: 96/24=4, Resulting Numbers: [7, 4]
Generated Node #0,1,2: 76:[7, 4] Operation: 96/24=4
Exploring Operation: 24-7=17, Resulting Numbers: [96, 17]
Generated Node #0,1,3: 76:[96, 17] Operation: 24-7=17
Moving to Node #0,1,2
Current State: 76:[7, 4], Operations: ['64-57=7', '96/24=4']
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,76 unequal: No Solution
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[7, 72], Operations: ['64-57=7', '96-24=72']
Exploring Operation: 7+72=79, Resulting Numbers: [79]
79,76 unequal: No Solution
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,76 unequal: No Solution
Exploring Operation: 7*72=504, Resulting Numbers: [504]
504,76 unequal: No Solution
Moving to Node #0,1,0
Current State: 76:[24, 89], Operations: ['64-57=7', '96-7=89']
Exploring Operation: 89-24=65, Resulting Numbers: [65]
65,76 unequal: No Solution
Exploring Operation: 24*89=2136, Resulting Numbers: [2136]
2136,76 unequal: No Solution
Exploring Operation: 24+89=113, Resulting Numbers: [113]
113,76 unequal: No Solution
Moving to Node #0,1,3
Current State: 76:[96, 17], Operations: ['64-57=7', '24-7=17']
Exploring Operation: 96*17=1632, Resulting Numbers: [1632]
1632,76 unequal: No Solution
Exploring Operation: 96+17=113, Resulting Numbers: [113]
113,76 unequal: No Solution
Exploring Operation: 96-17=79, Resulting Numbers: [79]
79,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[57, 24, 32], Operations: ['96-64=32']
Exploring Operation: 57+24=81, Resulting Numbers: [32, 81]
Generated Node #0,0,0: 76:[32, 81] Operation: 57+24=81
Exploring Operation: 57-32=25, Resulting Numbers: [24, 25]
Generated Node #0,0,1: 76:[24, 25] Operation: 57-32=25
Exploring Operation: 57-24=33, Resulting Numbers: [32, 33]
Generated Node #0,0,2: 76:[32, 33] Operation: 57-24=33
Exploring Operation: 57+32=89, Resulting Numbers: [24, 89]
Generated Node #0,0,3: 76:[24, 89] Operation: 57+32=89
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 76:[32, 81], Operations: ['96-64=32', '57+24=81']
Exploring Operation: 32*81=2592, Resulting Numbers: [2592]
2592,76 unequal: No Solution
Exploring Operation: 32+81=113, Resulting Numbers: [113]
113,76 unequal: No Solution
Exploring Operation: 81-32=49, Resulting Numbers: [49]
49,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 76:[24, 25], Operations: ['96-64=32', '57-32=25']
Exploring Operation: 25-24=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 24+25=49, Resulting Numbers: [49]
49,76 unequal: No Solution
Exploring Operation: 24*25=600, Resulting Numbers: [600]
600,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 76:[32, 33], Operations: ['96-64=32', '57-24=33']
Exploring Operation: 32*33=1056, Resulting Numbers: [1056]
1056,76 unequal: No Solution
Exploring Operation: 33-32=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 32+33=65, Resulting Numbers: [65]
65,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 76:[24, 89], Operations: ['96-64=32', '57+32=89']
Exploring Operation: 24+89=113, Resulting Numbers: [113]
113,76 unequal: No Solution
Exploring Operation: 89-24=65, Resulting Numbers: [65]
65,76 unequal: No Solution
Exploring Operation: 24*89=2136, Resulting Numbers: [2136]
2136,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 76:[57, 64, 4], Operations: ['96/24=4']
Exploring Operation: 57-4=53, Resulting Numbers: [64, 53]
Generated Node #0,2,0: 76:[64, 53] Operation: 57-4=53
Exploring Operation: 64/4=16, Resulting Numbers: [57, 16]
Generated Node #0,2,1: 76:[57, 16] Operation: 64/4=16
Exploring Operation: 64-57=7, Resulting Numbers: [4, 7]
Generated Node #0,2,2: 76:[4, 7] Operation: 64-57=7
Exploring Operation: 57+4=61, Resulting Numbers: [64, 61]
Generated Node #0,2,3: 76:[64, 61] Operation: 57+4=61
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 76:[4, 7], Operations: ['96/24=4', '64-57=7']
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,76 unequal: No Solution
Exploring Operation: 4+7=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 76:[57, 16], Operations: ['96/24=4', '64/4=16']
Exploring Operation: 57-16=41, Resulting Numbers: [41]
41,76 unequal: No Solution
Exploring Operation: 57+16=73, Resulting Numbers: [73]
73,76 unequal: No Solution
Exploring Operation: 57*16=912, Resulting Numbers: [912]
912,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 76:[64, 53], Operations: ['96/24=4', '57-4=53']
Exploring Operation: 64*53=3392, Resulting Numbers: [3392]
3392,76 unequal: No Solution
Exploring Operation: 64+53=117, Resulting Numbers: [117]
117,76 unequal: No Solution
Exploring Operation: 64-53=11, Resulting Numbers: [11]
11,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 76:[64, 61], Operations: ['96/24=4', '57+4=61']
Exploring Operation: 64+61=125, Resulting Numbers: [125]
125,76 unequal: No Solution
Exploring Operation: 64-61=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Exploring Operation: 64*61=3904, Resulting Numbers: [3904]
3904,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
76,
78,
19,
71
] | 45 | [
"78-76=2",
"19+71=90",
"90/2=45"
] | Current State: 45:[76, 78, 19, 71], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [19, 71, 2]
Generated Node #2: [19, 71, 2] from Operation: 78-76=2
Current State: 45:[19, 71, 2], Operations: ['78-76=2']
Exploring Operation: 19+71=90, Resulting Numbers: [2, 90]
Generated Node #3: [2, 90] from Operation: 19+71=90
Current State: 45:[2, 90], Operations: ['78-76=2', '19+71=90']
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[76, 78, 19, 71], Operations: []
Exploring Operation: 76-71=5, Resulting Numbers: [78, 19, 5]
Generated Node #0,0: 45:[78, 19, 5] Operation: 76-71=5
Exploring Operation: 78-76=2, Resulting Numbers: [19, 71, 2]
Generated Node #0,1: 45:[19, 71, 2] Operation: 78-76=2
Exploring Operation: 78-71=7, Resulting Numbers: [76, 19, 7]
Generated Node #0,2: 45:[76, 19, 7] Operation: 78-71=7
Exploring Operation: 76/19=4, Resulting Numbers: [78, 71, 4]
Generated Node #0,3: 45:[78, 71, 4] Operation: 76/19=4
Moving to Node #0,1
Current State: 45:[19, 71, 2], Operations: ['78-76=2']
Exploring Operation: 71-19=52, Resulting Numbers: [2, 52]
Generated Node #0,1,0: 45:[2, 52] Operation: 71-19=52
Exploring Operation: 71-2=69, Resulting Numbers: [19, 69]
Generated Node #0,1,1: 45:[19, 69] Operation: 71-2=69
Exploring Operation: 19-2=17, Resulting Numbers: [71, 17]
Generated Node #0,1,2: 45:[71, 17] Operation: 19-2=17
Exploring Operation: 19+2=21, Resulting Numbers: [71, 21]
Generated Node #0,1,3: 45:[71, 21] Operation: 19+2=21
Moving to Node #0,2
Current State: 45:[76, 19, 7], Operations: ['78-71=7']
Exploring Operation: 76/19=4, Resulting Numbers: [7, 4]
Generated Node #0,2,0: 45:[7, 4] Operation: 76/19=4
Exploring Operation: 76-19=57, Resulting Numbers: [7, 57]
Generated Node #0,2,1: 45:[7, 57] Operation: 76-19=57
Exploring Operation: 76-7=69, Resulting Numbers: [19, 69]
Generated Node #0,2,2: 45:[19, 69] Operation: 76-7=69
Exploring Operation: 19-7=12, Resulting Numbers: [76, 12]
Generated Node #0,2,3: 45:[76, 12] Operation: 19-7=12
Moving to Node #0,0
Current State: 45:[78, 19, 5], Operations: ['76-71=5']
Exploring Operation: 78-19=59, Resulting Numbers: [5, 59]
Generated Node #0,0,0: 45:[5, 59] Operation: 78-19=59
Exploring Operation: 78-5=73, Resulting Numbers: [19, 73]
Generated Node #0,0,1: 45:[19, 73] Operation: 78-5=73
Exploring Operation: 19-5=14, Resulting Numbers: [78, 14]
Generated Node #0,0,2: 45:[78, 14] Operation: 19-5=14
Exploring Operation: 78+5=83, Resulting Numbers: [19, 83]
Generated Node #0,0,3: 45:[19, 83] Operation: 78+5=83
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 45:[5, 59], Operations: ['76-71=5', '78-19=59']
Exploring Operation: 59-5=54, Resulting Numbers: [54]
54,45 unequal: No Solution
Exploring Operation: 5+59=64, Resulting Numbers: [64]
64,45 unequal: No Solution
Exploring Operation: 5*59=295, Resulting Numbers: [295]
295,45 unequal: No Solution
No 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: 45:[19, 73], Operations: ['76-71=5', '78-5=73']
Exploring Operation: 73-19=54, Resulting Numbers: [54]
54,45 unequal: No Solution
Exploring Operation: 19+73=92, Resulting Numbers: [92]
92,45 unequal: No Solution
Exploring Operation: 19*73=1387, Resulting Numbers: [1387]
1387,45 unequal: No Solution
No 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: 45:[78, 14], Operations: ['76-71=5', '19-5=14']
Exploring Operation: 78-14=64, Resulting Numbers: [64]
64,45 unequal: No Solution
Exploring Operation: 78*14=1092, Resulting Numbers: [1092]
1092,45 unequal: No Solution
Exploring Operation: 78+14=92, Resulting Numbers: [92]
92,45 unequal: No Solution
No 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: 45:[19, 83], Operations: ['76-71=5', '78+5=83']
Exploring Operation: 19+83=102, Resulting Numbers: [102]
102,45 unequal: No Solution
Exploring Operation: 19*83=1577, Resulting Numbers: [1577]
1577,45 unequal: No Solution
Exploring Operation: 83-19=64, Resulting Numbers: [64]
64,45 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: 45:[78, 71, 4], Operations: ['76/19=4']
Exploring Operation: 78+4=82, Resulting Numbers: [71, 82]
Generated Node #0,3,0: 45:[71, 82] Operation: 78+4=82
Exploring Operation: 71-4=67, Resulting Numbers: [78, 67]
Generated Node #0,3,1: 45:[78, 67] Operation: 71-4=67
Exploring Operation: 78-4=74, Resulting Numbers: [71, 74]
Generated Node #0,3,2: 45:[71, 74] Operation: 78-4=74
Exploring Operation: 78-71=7, Resulting Numbers: [4, 7]
Generated Node #0,3,3: 45:[4, 7] Operation: 78-71=7
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 45:[4, 7], Operations: ['76/19=4', '78-71=7']
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,45 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,45 unequal: No Solution
Exploring Operation: 4+7=11, Resulting Numbers: [11]
11,45 unequal: No Solution
No 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: 45:[78, 67], Operations: ['76/19=4', '71-4=67']
Exploring Operation: 78+67=145, Resulting Numbers: [145]
145,45 unequal: No Solution
Exploring Operation: 78-67=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 78*67=5226, Resulting Numbers: [5226]
5226,45 unequal: No Solution
No 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: 45:[71, 74], Operations: ['76/19=4', '78-4=74']
Exploring Operation: 71*74=5254, Resulting Numbers: [5254]
5254,45 unequal: No Solution
Exploring Operation: 71+74=145, Resulting Numbers: [145]
145,45 unequal: No Solution
Exploring Operation: 74-71=3, Resulting Numbers: [3]
3,45 unequal: No Solution
No 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: 45:[71, 82], Operations: ['76/19=4', '78+4=82']
Exploring Operation: 82-71=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 71+82=153, Resulting Numbers: [153]
153,45 unequal: No Solution
Exploring Operation: 71*82=5822, Resulting Numbers: [5822]
5822,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 45:[7, 4], Operations: ['78-71=7', '76/19=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,45 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,45 unequal: No Solution
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Moving to Node #0,1,0
Current State: 45:[2, 52], Operations: ['78-76=2', '71-19=52']
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,45 unequal: No Solution
Exploring Operation: 2*52=104, Resulting Numbers: [104]
104,45 unequal: No Solution
Exploring Operation: 2+52=54, Resulting Numbers: [54]
54,45 unequal: No Solution
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,45 unequal: No Solution
Moving to Node #0,2,1
Current State: 45:[7, 57], Operations: ['78-71=7', '76-19=57']
Exploring Operation: 57-7=50, Resulting Numbers: [50]
50,45 unequal: No Solution
Exploring Operation: 7*57=399, Resulting Numbers: [399]
399,45 unequal: No Solution
Exploring Operation: 7+57=64, Resulting Numbers: [64]
64,45 unequal: No Solution
Moving to Node #0,1,2
Current State: 45:[71, 17], Operations: ['78-76=2', '19-2=17']
Exploring Operation: 71+17=88, Resulting Numbers: [88]
88,45 unequal: No Solution
Exploring Operation: 71-17=54, Resulting Numbers: [54]
54,45 unequal: No Solution
Exploring Operation: 71*17=1207, Resulting Numbers: [1207]
1207,45 unequal: No Solution
Moving to Node #0,2,2
Current State: 45:[19, 69], Operations: ['78-71=7', '76-7=69']
Exploring Operation: 19*69=1311, Resulting Numbers: [1311]
1311,45 unequal: No Solution
Exploring Operation: 19+69=88, Resulting Numbers: [88]
88,45 unequal: No Solution
Exploring Operation: 69-19=50, Resulting Numbers: [50]
50,45 unequal: No Solution
Moving to Node #0,1,1
Current State: 45:[19, 69], Operations: ['78-76=2', '71-2=69']
Exploring Operation: 19+69=88, Resulting Numbers: [88]
88,45 unequal: No Solution
Exploring Operation: 19*69=1311, Resulting Numbers: [1311]
1311,45 unequal: No Solution
Exploring Operation: 69-19=50, Resulting Numbers: [50]
50,45 unequal: No Solution
Moving to Node #0,1,3
Current State: 45:[71, 21], Operations: ['78-76=2', '19+2=21']
Exploring Operation: 71-21=50, Resulting Numbers: [50]
50,45 unequal: No Solution
Exploring Operation: 71*21=1491, Resulting Numbers: [1491]
1491,45 unequal: No Solution
Exploring Operation: 71+21=92, Resulting Numbers: [92]
92,45 unequal: No Solution
Moving to Node #0,2,3
Current State: 45:[76, 12], Operations: ['78-71=7', '19-7=12']
Exploring Operation: 76*12=912, Resulting Numbers: [912]
912,45 unequal: No Solution
Exploring Operation: 76-12=64, Resulting Numbers: [64]
64,45 unequal: No Solution
Exploring Operation: 76+12=88, Resulting Numbers: [88]
88,45 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
83,
18,
54,
34
] | 39 | [
"83+34=117",
"54/18=3",
"117/3=39"
] | Current State: 39:[83, 18, 54, 34], Operations: []
Exploring Operation: 83+34=117, Resulting Numbers: [18, 54, 117]
Generated Node #2: [18, 54, 117] from Operation: 83+34=117
Current State: 39:[18, 54, 117], Operations: ['83+34=117']
Exploring Operation: 54/18=3, Resulting Numbers: [117, 3]
Generated Node #3: [117, 3] from Operation: 54/18=3
Current State: 39:[117, 3], Operations: ['83+34=117', '54/18=3']
Exploring Operation: 117/3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[83, 18, 54, 34], Operations: []
Exploring Operation: 83-18=65, Resulting Numbers: [54, 34, 65]
Generated Node #0,0: 39:[54, 34, 65] Operation: 83-18=65
Exploring Operation: 83-54=29, Resulting Numbers: [18, 34, 29]
Generated Node #0,1: 39:[18, 34, 29] Operation: 83-54=29
Exploring Operation: 83-34=49, Resulting Numbers: [18, 54, 49]
Generated Node #0,2: 39:[18, 54, 49] Operation: 83-34=49
Exploring Operation: 54-18=36, Resulting Numbers: [83, 34, 36]
Generated Node #0,3: 39:[83, 34, 36] Operation: 54-18=36
Exploring Operation: 54/18=3, Resulting Numbers: [83, 34, 3]
Generated Node #0,4: 39:[83, 34, 3] Operation: 54/18=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 39:[18, 34, 29], Operations: ['83-54=29']
Exploring Operation: 34-29=5, Resulting Numbers: [18, 5]
Generated Node #0,1,0: 39:[18, 5] Operation: 34-29=5
Exploring Operation: 29-18=11, Resulting Numbers: [34, 11]
Generated Node #0,1,1: 39:[34, 11] Operation: 29-18=11
Exploring Operation: 18+34=52, Resulting Numbers: [29, 52]
Generated Node #0,1,2: 39:[29, 52] Operation: 18+34=52
Exploring Operation: 18+29=47, Resulting Numbers: [34, 47]
Generated Node #0,1,3: 39:[34, 47] Operation: 18+29=47
Exploring Operation: 34-18=16, Resulting Numbers: [29, 16]
Generated Node #0,1,4: 39:[29, 16] Operation: 34-18=16
Moving to Node #0,1,0
Current State: 39:[18, 5], Operations: ['83-54=29', '34-29=5']
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,39 unequal: No Solution
Exploring Operation: 18+5=23, Resulting Numbers: [23]
23,39 unequal: No Solution
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,39 unequal: No Solution
Moving to Node #0,1,1
Current State: 39:[34, 11], Operations: ['83-54=29', '29-18=11']
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,39 unequal: No Solution
Exploring Operation: 34*11=374, Resulting Numbers: [374]
374,39 unequal: No Solution
Exploring Operation: 34+11=45, Resulting Numbers: [45]
45,39 unequal: No Solution
Moving to Node #0,1,3
Current State: 39:[34, 47], Operations: ['83-54=29', '18+29=47']
Exploring Operation: 34+47=81, Resulting Numbers: [81]
81,39 unequal: No Solution
Exploring Operation: 34*47=1598, Resulting Numbers: [1598]
1598,39 unequal: No Solution
Exploring Operation: 47-34=13, Resulting Numbers: [13]
13,39 unequal: No Solution
Moving to Node #0,1,4
Current State: 39:[29, 16], Operations: ['83-54=29', '34-18=16']
Exploring Operation: 29+16=45, Resulting Numbers: [45]
45,39 unequal: No Solution
Exploring Operation: 29-16=13, Resulting Numbers: [13]
13,39 unequal: No Solution
Exploring Operation: 29*16=464, Resulting Numbers: [464]
464,39 unequal: No Solution
Moving to Node #0,1,2
Current State: 39:[29, 52], Operations: ['83-54=29', '18+34=52']
Exploring Operation: 29+52=81, Resulting Numbers: [81]
81,39 unequal: No Solution
Exploring Operation: 52-29=23, Resulting Numbers: [23]
23,39 unequal: No Solution
Exploring Operation: 29*52=1508, Resulting Numbers: [1508]
1508,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 39:[18, 54, 49], Operations: ['83-34=49']
Exploring Operation: 54-49=5, Resulting Numbers: [18, 5]
Generated Node #0,2,0: 39:[18, 5] Operation: 54-49=5
Exploring Operation: 18+54=72, Resulting Numbers: [49, 72]
Generated Node #0,2,1: 39:[49, 72] Operation: 18+54=72
Exploring Operation: 49-18=31, Resulting Numbers: [54, 31]
Generated Node #0,2,2: 39:[54, 31] Operation: 49-18=31
Exploring Operation: 54/18=3, Resulting Numbers: [49, 3]
Generated Node #0,2,3: 39:[49, 3] Operation: 54/18=3
Exploring Operation: 54-18=36, Resulting Numbers: [49, 36]
Generated Node #0,2,4: 39:[49, 36] Operation: 54-18=36
Moving to Node #0,2,0
Current State: 39:[18, 5], Operations: ['83-34=49', '54-49=5']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,39 unequal: No Solution
Exploring Operation: 18+5=23, Resulting Numbers: [23]
23,39 unequal: No Solution
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,39 unequal: No Solution
Moving to Node #0,2,3
Current State: 39:[49, 3], Operations: ['83-34=49', '54/18=3']
Exploring Operation: 49+3=52, Resulting Numbers: [52]
52,39 unequal: No Solution
Exploring Operation: 49*3=147, Resulting Numbers: [147]
147,39 unequal: No Solution
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,39 unequal: No Solution
Moving to Node #0,2,4
Current State: 39:[49, 36], Operations: ['83-34=49', '54-18=36']
Exploring Operation: 49-36=13, Resulting Numbers: [13]
13,39 unequal: No Solution
Exploring Operation: 49*36=1764, Resulting Numbers: [1764]
1764,39 unequal: No Solution
Exploring Operation: 49+36=85, Resulting Numbers: [85]
85,39 unequal: No Solution
Moving to Node #0,2,2
Current State: 39:[54, 31], Operations: ['83-34=49', '49-18=31']
Exploring Operation: 54*31=1674, Resulting Numbers: [1674]
1674,39 unequal: No Solution
Exploring Operation: 54+31=85, Resulting Numbers: [85]
85,39 unequal: No Solution
Exploring Operation: 54-31=23, Resulting Numbers: [23]
23,39 unequal: No Solution
Moving to Node #0,2,1
Current State: 39:[49, 72], Operations: ['83-34=49', '18+54=72']
Exploring Operation: 72-49=23, Resulting Numbers: [23]
23,39 unequal: No Solution
Exploring Operation: 49*72=3528, Resulting Numbers: [3528]
3528,39 unequal: No Solution
Exploring Operation: 49+72=121, Resulting Numbers: [121]
121,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[54, 34, 65], Operations: ['83-18=65']
Exploring Operation: 65-34=31, Resulting Numbers: [54, 31]
Generated Node #0,0,0: 39:[54, 31] Operation: 65-34=31
Exploring Operation: 34+65=99, Resulting Numbers: [54, 99]
Generated Node #0,0,1: 39:[54, 99] Operation: 34+65=99
Exploring Operation: 54-34=20, Resulting Numbers: [65, 20]
Generated Node #0,0,2: 39:[65, 20] Operation: 54-34=20
Exploring Operation: 65-54=11, Resulting Numbers: [34, 11]
Generated Node #0,0,3: 39:[34, 11] Operation: 65-54=11
Exploring Operation: 54+34=88, Resulting Numbers: [65, 88]
Generated Node #0,0,4: 39:[65, 88] Operation: 54+34=88
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 39:[34, 11], Operations: ['83-18=65', '65-54=11']
Exploring Operation: 34+11=45, Resulting Numbers: [45]
45,39 unequal: No Solution
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,39 unequal: No Solution
Exploring Operation: 34*11=374, Resulting Numbers: [374]
374,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 39:[54, 31], Operations: ['83-18=65', '65-34=31']
Exploring Operation: 54*31=1674, Resulting Numbers: [1674]
1674,39 unequal: No Solution
Exploring Operation: 54+31=85, Resulting Numbers: [85]
85,39 unequal: No Solution
Exploring Operation: 54-31=23, Resulting Numbers: [23]
23,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 39:[65, 20], Operations: ['83-18=65', '54-34=20']
Exploring Operation: 65+20=85, Resulting Numbers: [85]
85,39 unequal: No Solution
Exploring Operation: 65-20=45, Resulting Numbers: [45]
45,39 unequal: No Solution
Exploring Operation: 65*20=1300, Resulting Numbers: [1300]
1300,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 39:[54, 99], Operations: ['83-18=65', '34+65=99']
Exploring Operation: 54*99=5346, Resulting Numbers: [5346]
5346,39 unequal: No Solution
Exploring Operation: 99-54=45, Resulting Numbers: [45]
45,39 unequal: No Solution
Exploring Operation: 54+99=153, Resulting Numbers: [153]
153,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 39:[65, 88], Operations: ['83-18=65', '54+34=88']
Exploring Operation: 88-65=23, Resulting Numbers: [23]
23,39 unequal: No Solution
Exploring Operation: 65*88=5720, Resulting Numbers: [5720]
5720,39 unequal: No Solution
Exploring Operation: 65+88=153, Resulting Numbers: [153]
153,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 39:[83, 34, 3], Operations: ['54/18=3']
Exploring Operation: 83+3=86, Resulting Numbers: [34, 86]
Generated Node #0,4,0: 39:[34, 86] Operation: 83+3=86
Exploring Operation: 83-3=80, Resulting Numbers: [34, 80]
Generated Node #0,4,1: 39:[34, 80] Operation: 83-3=80
Exploring Operation: 83-34=49, Resulting Numbers: [3, 49]
Generated Node #0,4,2: 39:[3, 49] Operation: 83-34=49
Exploring Operation: 34+3=37, Resulting Numbers: [83, 37]
Generated Node #0,4,3: 39:[83, 37] Operation: 34+3=37
Exploring Operation: 34-3=31, Resulting Numbers: [83, 31]
Generated Node #0,4,4: 39:[83, 31] Operation: 34-3=31
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 39:[3, 49], Operations: ['54/18=3', '83-34=49']
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,39 unequal: No Solution
Exploring Operation: 3*49=147, Resulting Numbers: [147]
147,39 unequal: No Solution
Exploring Operation: 3+49=52, Resulting Numbers: [52]
52,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 39:[34, 80], Operations: ['54/18=3', '83-3=80']
Exploring Operation: 34+80=114, Resulting Numbers: [114]
114,39 unequal: No Solution
Exploring Operation: 80-34=46, Resulting Numbers: [46]
46,39 unequal: No Solution
Exploring Operation: 34*80=2720, Resulting Numbers: [2720]
2720,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 39:[83, 37], Operations: ['54/18=3', '34+3=37']
Exploring Operation: 83+37=120, Resulting Numbers: [120]
120,39 unequal: No Solution
Exploring Operation: 83-37=46, Resulting Numbers: [46]
46,39 unequal: No Solution
Exploring Operation: 83*37=3071, Resulting Numbers: [3071]
3071,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 39:[34, 86], Operations: ['54/18=3', '83+3=86']
Exploring Operation: 86-34=52, Resulting Numbers: [52]
52,39 unequal: No Solution
Exploring Operation: 34*86=2924, Resulting Numbers: [2924]
2924,39 unequal: No Solution
Exploring Operation: 34+86=120, Resulting Numbers: [120]
120,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 39:[83, 31], Operations: ['54/18=3', '34-3=31']
Exploring Operation: 83+31=114, Resulting Numbers: [114]
114,39 unequal: No Solution
Exploring Operation: 83*31=2573, Resulting Numbers: [2573]
2573,39 unequal: No Solution
Exploring Operation: 83-31=52, Resulting Numbers: [52]
52,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 39:[83, 34, 36], Operations: ['54-18=36']
Exploring Operation: 83-36=47, Resulting Numbers: [34, 47]
Generated Node #0,3,0: 39:[34, 47] Operation: 83-36=47
Exploring Operation: 83+34=117, Resulting Numbers: [36, 117]
Generated Node #0,3,1: 39:[36, 117] Operation: 83+34=117
Exploring Operation: 34+36=70, Resulting Numbers: [83, 70]
Generated Node #0,3,2: 39:[83, 70] Operation: 34+36=70
Exploring Operation: 36-34=2, Resulting Numbers: [83, 2]
Generated Node #0,3,3: 39:[83, 2] Operation: 36-34=2
Exploring Operation: 83-34=49, Resulting Numbers: [36, 49]
Generated Node #0,3,4: 39:[36, 49] Operation: 83-34=49
Moving to Node #0,3,0
Current State: 39:[34, 47], Operations: ['54-18=36', '83-36=47']
Exploring Operation: 34+47=81, Resulting Numbers: [81]
81,39 unequal: No Solution
Exploring Operation: 47-34=13, Resulting Numbers: [13]
13,39 unequal: No Solution
Exploring Operation: 34*47=1598, Resulting Numbers: [1598]
1598,39 unequal: No Solution
Moving to Node #0,3,4
Current State: 39:[36, 49], Operations: ['54-18=36', '83-34=49']
Exploring Operation: 36*49=1764, Resulting Numbers: [1764]
1764,39 unequal: No Solution
Exploring Operation: 49-36=13, Resulting Numbers: [13]
13,39 unequal: No Solution
Exploring Operation: 36+49=85, Resulting Numbers: [85]
85,39 unequal: No Solution
Moving to Node #0,3,3
Current State: 39:[83, 2], Operations: ['54-18=36', '36-34=2']
Exploring Operation: 83+2=85, Resulting Numbers: [85]
85,39 unequal: No Solution
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,39 unequal: No Solution
Exploring Operation: 83*2=166, Resulting Numbers: [166]
166,39 unequal: No Solution
Moving to Node #0,3,2
Current State: 39:[83, 70], Operations: ['54-18=36', '34+36=70']
Exploring Operation: 83*70=5810, Resulting Numbers: [5810]
5810,39 unequal: No Solution
Exploring Operation: 83+70=153, Resulting Numbers: [153]
153,39 unequal: No Solution
Exploring Operation: 83-70=13, Resulting Numbers: [13]
13,39 unequal: No Solution
Moving to Node #0,3,1
Current State: 39:[36, 117], Operations: ['54-18=36', '83+34=117']
Exploring Operation: 36*117=4212, Resulting Numbers: [4212]
4212,39 unequal: No Solution
Exploring Operation: 36+117=153, Resulting Numbers: [153]
153,39 unequal: No Solution
Exploring Operation: 117-36=81, Resulting Numbers: [81]
81,39 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 |
[
3,
17,
26,
77
] | 65 | [
"17-3=14",
"77-26=51",
"14+51=65"
] | Current State: 65:[3, 17, 26, 77], Operations: []
Exploring Operation: 17-3=14, Resulting Numbers: [26, 77, 14]
Generated Node #2: [26, 77, 14] from Operation: 17-3=14
Current State: 65:[26, 77, 14], Operations: ['17-3=14']
Exploring Operation: 77-26=51, Resulting Numbers: [14, 51]
Generated Node #3: [14, 51] from Operation: 77-26=51
Current State: 65:[14, 51], Operations: ['17-3=14', '77-26=51']
Exploring Operation: 14+51=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[3, 17, 26, 77], Operations: []
Exploring Operation: 26-17=9, Resulting Numbers: [3, 77, 9]
Generated Node #0,0: 65:[3, 77, 9] Operation: 26-17=9
Exploring Operation: 77-17=60, Resulting Numbers: [3, 26, 60]
Generated Node #0,1: 65:[3, 26, 60] Operation: 77-17=60
Exploring Operation: 77-26=51, Resulting Numbers: [3, 17, 51]
Generated Node #0,2: 65:[3, 17, 51] Operation: 77-26=51
Moving to Node #0,0
Current State: 65:[3, 77, 9], Operations: ['26-17=9']
Exploring Operation: 3+9=12, Resulting Numbers: [77, 12]
Generated Node #0,0,0: 65:[77, 12] Operation: 3+9=12
Exploring Operation: 77-3=74, Resulting Numbers: [9, 74]
Generated Node #0,0,1: 65:[9, 74] Operation: 77-3=74
Exploring Operation: 77-9=68, Resulting Numbers: [3, 68]
Generated Node #0,0,2: 65:[3, 68] Operation: 77-9=68
Moving to Node #0,1
Current State: 65:[3, 26, 60], Operations: ['77-17=60']
Exploring Operation: 3+60=63, Resulting Numbers: [26, 63]
Generated Node #0,1,0: 65:[26, 63] Operation: 3+60=63
Exploring Operation: 3*26=78, Resulting Numbers: [60, 78]
Generated Node #0,1,1: 65:[60, 78] Operation: 3*26=78
Exploring Operation: 26-3=23, Resulting Numbers: [60, 23]
Generated Node #0,1,2: 65:[60, 23] Operation: 26-3=23
Moving to Node #0,2
Current State: 65:[3, 17, 51], Operations: ['77-26=51']
Exploring Operation: 51/17=3, Resulting Numbers: [3, 3]
Generated Node #0,2,0: 65:[3, 3] Operation: 51/17=3
Exploring Operation: 17+51=68, Resulting Numbers: [3, 68]
Generated Node #0,2,1: 65:[3, 68] Operation: 17+51=68
Exploring Operation: 51/3=17, Resulting Numbers: [17, 17]
Generated Node #0,2,2: 65:[17, 17] Operation: 51/3=17
Moving to Node #0,2,0
Current State: 65:[3, 3], Operations: ['77-26=51', '51/17=3']
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,65 unequal: No Solution
Exploring Operation: 3*3=9, Resulting Numbers: [9]
9,65 unequal: No Solution
Moving to Node #0,0,2
Current State: 65:[3, 68], Operations: ['26-17=9', '77-9=68']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[3, 17, 26, 77], Operations: []
Exploring Operation: 26-17=9, Resulting Numbers: [3, 77, 9]
Generated Node #0,0: 65:[3, 77, 9] Operation: 26-17=9
Moving to Node #0,0
Current State: 65:[3, 77, 9], Operations: ['26-17=9']
Exploring Operation: 77-9=68, Resulting Numbers: [3, 68]
Generated Node #0,0,2: 65:[3, 68] Operation: 77-9=68
Moving to Node #0,0,2
Current State: 65:[3, 68], Operations: ['26-17=9', '77-9=68']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 0.982639 | hs_3 | sum_heuristic |
[
66,
12,
72,
30
] | 70 | [
"30-12=18",
"72/18=4",
"66+4=70"
] | Current State: 70:[66, 12, 72, 30], Operations: []
Exploring Operation: 30-12=18, Resulting Numbers: [66, 72, 18]
Generated Node #2: [66, 72, 18] from Operation: 30-12=18
Current State: 70:[66, 72, 18], Operations: ['30-12=18']
Exploring Operation: 72/18=4, Resulting Numbers: [66, 4]
Generated Node #3: [66, 4] from Operation: 72/18=4
Current State: 70:[66, 4], Operations: ['30-12=18', '72/18=4']
Exploring Operation: 66+4=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[66, 12, 72, 30], Operations: []
Exploring Operation: 72/12=6, Resulting Numbers: [66, 30, 6]
Generated Node #0,0: 70:[66, 30, 6] Operation: 72/12=6
Exploring Operation: 66-30=36, Resulting Numbers: [12, 72, 36]
Generated Node #0,1: 70:[12, 72, 36] Operation: 66-30=36
Exploring Operation: 72-66=6, Resulting Numbers: [12, 30, 6]
Generated Node #0,2: 70:[12, 30, 6] Operation: 72-66=6
Exploring Operation: 30-12=18, Resulting Numbers: [66, 72, 18]
Generated Node #0,3: 70:[66, 72, 18] Operation: 30-12=18
Exploring Operation: 12+30=42, Resulting Numbers: [66, 72, 42]
Generated Node #0,4: 70:[66, 72, 42] Operation: 12+30=42
Start Sub Search at level 1: Moving to Node #0,1
Current State: 70:[12, 72, 36], Operations: ['66-30=36']
Exploring Operation: 36/12=3, Resulting Numbers: [72, 3]
Generated Node #0,1,0: 70:[72, 3] Operation: 36/12=3
Exploring Operation: 72/36=2, Resulting Numbers: [12, 2]
Generated Node #0,1,1: 70:[12, 2] Operation: 72/36=2
Exploring Operation: 72-12=60, Resulting Numbers: [36, 60]
Generated Node #0,1,2: 70:[36, 60] Operation: 72-12=60
Exploring Operation: 72-36=36, Resulting Numbers: [12, 36]
Generated Node #0,1,3: 70:[12, 36] Operation: 72-36=36
Exploring Operation: 72/12=6, Resulting Numbers: [36, 6]
Generated Node #0,1,4: 70:[36, 6] Operation: 72/12=6
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 70:[12, 2], Operations: ['66-30=36', '72/36=2']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,70 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,70 unequal: No Solution
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,70 unequal: No Solution
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,70 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 #0,1,4
Current State: 70:[36, 6], Operations: ['66-30=36', '72/12=6']
Exploring Operation: 36*6=216, Resulting Numbers: [216]
216,70 unequal: No Solution
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,70 unequal: No Solution
Exploring Operation: 36+6=42, Resulting Numbers: [42]
42,70 unequal: No Solution
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,70 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:[72, 3], Operations: ['66-30=36', '36/12=3']
Exploring Operation: 72*3=216, Resulting Numbers: [216]
216,70 unequal: No Solution
Exploring Operation: 72+3=75, Resulting Numbers: [75]
75,70 unequal: No Solution
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,70 unequal: No Solution
Exploring Operation: 72-3=69, Resulting Numbers: [69]
69,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 70:[12, 36], Operations: ['66-30=36', '72-36=36']
Exploring Operation: 12+36=48, Resulting Numbers: [48]
48,70 unequal: No Solution
Exploring Operation: 12*36=432, Resulting Numbers: [432]
432,70 unequal: No Solution
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,70 unequal: No Solution
Exploring Operation: 36/12=3, Resulting Numbers: [3]
3,70 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 #0,1,2
Current State: 70:[36, 60], Operations: ['66-30=36', '72-12=60']
Exploring Operation: 60-36=24, Resulting Numbers: [24]
24,70 unequal: No Solution
Exploring Operation: 36+60=96, Resulting Numbers: [96]
96,70 unequal: No Solution
Exploring Operation: 36*60=2160, Resulting Numbers: [2160]
2160,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 70:[12, 30, 6], Operations: ['72-66=6']
Exploring Operation: 30-12=18, Resulting Numbers: [6, 18]
Generated Node #0,2,0: 70:[6, 18] Operation: 30-12=18
Exploring Operation: 30/6=5, Resulting Numbers: [12, 5]
Generated Node #0,2,1: 70:[12, 5] Operation: 30/6=5
Exploring Operation: 30+6=36, Resulting Numbers: [12, 36]
Generated Node #0,2,2: 70:[12, 36] Operation: 30+6=36
Exploring Operation: 12/6=2, Resulting Numbers: [30, 2]
Generated Node #0,2,3: 70:[30, 2] Operation: 12/6=2
Exploring Operation: 12-6=6, Resulting Numbers: [30, 6]
Generated Node #0,2,4: 70:[30, 6] Operation: 12-6=6
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 70:[12, 5], Operations: ['72-66=6', '30/6=5']
Exploring Operation: 12+5=17, Resulting Numbers: [17]
17,70 unequal: No Solution
Exploring Operation: 12*5=60, Resulting Numbers: [60]
60,70 unequal: No Solution
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 70:[12, 36], Operations: ['72-66=6', '30+6=36']
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,70 unequal: No Solution
Exploring Operation: 36/12=3, Resulting Numbers: [3]
3,70 unequal: No Solution
Exploring Operation: 12+36=48, Resulting Numbers: [48]
48,70 unequal: No Solution
Exploring Operation: 12*36=432, Resulting Numbers: [432]
432,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 70:[6, 18], Operations: ['72-66=6', '30-12=18']
Exploring Operation: 6*18=108, Resulting Numbers: [108]
108,70 unequal: No Solution
Exploring Operation: 18/6=3, Resulting Numbers: [3]
3,70 unequal: No Solution
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,70 unequal: No Solution
Exploring Operation: 6+18=24, Resulting Numbers: [24]
24,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 70:[30, 2], Operations: ['72-66=6', '12/6=2']
Exploring Operation: 30+2=32, Resulting Numbers: [32]
32,70 unequal: No Solution
Exploring Operation: 30*2=60, Resulting Numbers: [60]
60,70 unequal: No Solution
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,70 unequal: No Solution
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 70:[30, 6], Operations: ['72-66=6', '12-6=6']
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,70 unequal: No Solution
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,70 unequal: No Solution
Exploring Operation: 30+6=36, Resulting Numbers: [36]
36,70 unequal: No Solution
Exploring Operation: 30*6=180, Resulting Numbers: [180]
180,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[66, 30, 6], Operations: ['72/12=6']
Exploring Operation: 66+6=72, Resulting Numbers: [30, 72]
Generated Node #0,0,0: 70:[30, 72] Operation: 66+6=72
Exploring Operation: 30+6=36, Resulting Numbers: [66, 36]
Generated Node #0,0,1: 70:[66, 36] Operation: 30+6=36
Exploring Operation: 30/6=5, Resulting Numbers: [66, 5]
Generated Node #0,0,2: 70:[66, 5] Operation: 30/6=5
Exploring Operation: 66-30=36, Resulting Numbers: [6, 36]
Generated Node #0,0,3: 70:[6, 36] Operation: 66-30=36
Exploring Operation: 66/6=11, Resulting Numbers: [30, 11]
Generated Node #0,0,4: 70:[30, 11] Operation: 66/6=11
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 70:[6, 36], Operations: ['72/12=6', '66-30=36']
Exploring Operation: 6+36=42, Resulting Numbers: [42]
42,70 unequal: No Solution
Exploring Operation: 6*36=216, Resulting Numbers: [216]
216,70 unequal: No Solution
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,70 unequal: No Solution
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,70 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 #0,0,2
Current State: 70:[66, 5], Operations: ['72/12=6', '30/6=5']
Exploring Operation: 66*5=330, Resulting Numbers: [330]
330,70 unequal: No Solution
Exploring Operation: 66+5=71, Resulting Numbers: [71]
71,70 unequal: No Solution
Exploring Operation: 66-5=61, Resulting Numbers: [61]
61,70 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 #0,0,1
Current State: 70:[66, 36], Operations: ['72/12=6', '30+6=36']
Exploring Operation: 66-36=30, Resulting Numbers: [30]
30,70 unequal: No Solution
Exploring Operation: 66+36=102, Resulting Numbers: [102]
102,70 unequal: No Solution
Exploring Operation: 66*36=2376, Resulting Numbers: [2376]
2376,70 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 #0,0,4
Current State: 70:[30, 11], Operations: ['72/12=6', '66/6=11']
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,70 unequal: No Solution
Exploring Operation: 30+11=41, Resulting Numbers: [41]
41,70 unequal: No Solution
Exploring Operation: 30*11=330, Resulting Numbers: [330]
330,70 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 #0,0,0
Current State: 70:[30, 72], Operations: ['72/12=6', '66+6=72']
Exploring Operation: 30+72=102, Resulting Numbers: [102]
102,70 unequal: No Solution
Exploring Operation: 72-30=42, Resulting Numbers: [42]
42,70 unequal: No Solution
Exploring Operation: 30*72=2160, Resulting Numbers: [2160]
2160,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 70:[66, 72, 18], Operations: ['30-12=18']
Exploring Operation: 72/18=4, Resulting Numbers: [66, 4]
Generated Node #0,3,0: 70:[66, 4] Operation: 72/18=4
Exploring Operation: 66-18=48, Resulting Numbers: [72, 48]
Generated Node #0,3,1: 70:[72, 48] Operation: 66-18=48
Exploring Operation: 72-18=54, Resulting Numbers: [66, 54]
Generated Node #0,3,2: 70:[66, 54] Operation: 72-18=54
Exploring Operation: 72-66=6, Resulting Numbers: [18, 6]
Generated Node #0,3,3: 70:[18, 6] Operation: 72-66=6
Exploring Operation: 66+18=84, Resulting Numbers: [72, 84]
Generated Node #0,3,4: 70:[72, 84] Operation: 66+18=84
Moving to Node #0,3,0
Current State: 70:[66, 4], Operations: ['30-12=18', '72/18=4']
Exploring Operation: 66+4=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[66, 12, 72, 30], Operations: []
Exploring Operation: 30-12=18, Resulting Numbers: [66, 72, 18]
Generated Node #0,3: 70:[66, 72, 18] Operation: 30-12=18
Moving to Node #0,3
Current State: 70:[66, 72, 18], Operations: ['30-12=18']
Exploring Operation: 72/18=4, Resulting Numbers: [66, 4]
Generated Node #0,3,0: 70:[66, 4] Operation: 72/18=4
Moving to Node #0,3,0
Current State: 70:[66, 4], Operations: ['30-12=18', '72/18=4']
Exploring Operation: 66+4=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.927083 | hs_5 | sum_heuristic |
[
86,
1,
21,
84
] | 91 | [
"86+1=87",
"84/21=4",
"87+4=91"
] | Current State: 91:[86, 1, 21, 84], Operations: []
Exploring Operation: 86+1=87, Resulting Numbers: [21, 84, 87]
Generated Node #2: [21, 84, 87] from Operation: 86+1=87
Current State: 91:[21, 84, 87], Operations: ['86+1=87']
Exploring Operation: 84/21=4, Resulting Numbers: [87, 4]
Generated Node #3: [87, 4] from Operation: 84/21=4
Current State: 91:[87, 4], Operations: ['86+1=87', '84/21=4']
Exploring Operation: 87+4=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[86, 1, 21, 84], Operations: []
Exploring Operation: 86+1=87, Resulting Numbers: [21, 84, 87]
Generated Node #0,0: 91:[21, 84, 87] Operation: 86+1=87
Exploring Operation: 84/21=4, Resulting Numbers: [86, 1, 4]
Generated Node #0,1: 91:[86, 1, 4] Operation: 84/21=4
Moving to Node #0,1
Current State: 91:[86, 1, 4], Operations: ['84/21=4']
Exploring Operation: 86+1=87, Resulting Numbers: [4, 87]
Generated Node #0,1,0: 91:[4, 87] Operation: 86+1=87
Exploring Operation: 86+4=90, Resulting Numbers: [1, 90]
Generated Node #0,1,1: 91:[1, 90] Operation: 86+4=90
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 91:[4, 87], Operations: ['84/21=4', '86+1=87']
Exploring Operation: 4+87=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[86, 1, 21, 84], Operations: []
Exploring Operation: 84/21=4, Resulting Numbers: [86, 1, 4]
Generated Node #0,1: 91:[86, 1, 4] Operation: 84/21=4
Moving to Node #0,1
Current State: 91:[86, 1, 4], Operations: ['84/21=4']
Exploring Operation: 86+1=87, Resulting Numbers: [4, 87]
Generated Node #0,1,0: 91:[4, 87] Operation: 86+1=87
Moving to Node #0,1,0
Current State: 91:[4, 87], Operations: ['84/21=4', '86+1=87']
Exploring Operation: 4+87=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
38,
13,
43,
52
] | 42 | [
"38+13=51",
"52-43=9",
"51-9=42"
] | Current State: 42:[38, 13, 43, 52], Operations: []
Exploring Operation: 38+13=51, Resulting Numbers: [43, 52, 51]
Generated Node #2: [43, 52, 51] from Operation: 38+13=51
Current State: 42:[43, 52, 51], Operations: ['38+13=51']
Exploring Operation: 52-43=9, Resulting Numbers: [51, 9]
Generated Node #3: [51, 9] from Operation: 52-43=9
Current State: 42:[51, 9], Operations: ['38+13=51', '52-43=9']
Exploring Operation: 51-9=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[38, 13, 43, 52], Operations: []
Exploring Operation: 52-38=14, Resulting Numbers: [13, 43, 14]
Generated Node #0,0: 42:[13, 43, 14] Operation: 52-38=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[13, 43, 14], Operations: ['52-38=14']
Exploring Operation: 14-13=1, Resulting Numbers: [43, 1]
Generated Node #0,0,0: 42:[43, 1] Operation: 14-13=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 42:[43, 1], Operations: ['52-38=14', '14-13=1']
Exploring Operation: 43-1=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[38, 13, 43, 52], Operations: []
Exploring Operation: 52-38=14, Resulting Numbers: [13, 43, 14]
Generated Node #0,0: 42:[13, 43, 14] Operation: 52-38=14
Moving to Node #0,0
Current State: 42:[13, 43, 14], Operations: ['52-38=14']
Exploring Operation: 14-13=1, Resulting Numbers: [43, 1]
Generated Node #0,0,0: 42:[43, 1] Operation: 14-13=1
Moving to Node #0,0,0
Current State: 42:[43, 1], Operations: ['52-38=14', '14-13=1']
Exploring Operation: 43-1=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
61,
38,
1,
45
] | 67 | [
"61-38=23",
"45-1=44",
"23+44=67"
] | Current State: 67:[61, 38, 1, 45], Operations: []
Exploring Operation: 61-38=23, Resulting Numbers: [1, 45, 23]
Generated Node #2: [1, 45, 23] from Operation: 61-38=23
Current State: 67:[1, 45, 23], Operations: ['61-38=23']
Exploring Operation: 45-1=44, Resulting Numbers: [23, 44]
Generated Node #3: [23, 44] from Operation: 45-1=44
Current State: 67:[23, 44], Operations: ['61-38=23', '45-1=44']
Exploring Operation: 23+44=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[61, 38, 1, 45], Operations: []
Exploring Operation: 38+1=39, Resulting Numbers: [61, 45, 39]
Generated Node #0,0: 67:[61, 45, 39] Operation: 38+1=39
Exploring Operation: 61+1=62, Resulting Numbers: [38, 45, 62]
Generated Node #0,1: 67:[38, 45, 62] Operation: 61+1=62
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[61, 45, 39], Operations: ['38+1=39']
Exploring Operation: 61+39=100, Resulting Numbers: [45, 100]
Generated Node #0,0,0: 67:[45, 100] Operation: 61+39=100
Exploring Operation: 45+39=84, Resulting Numbers: [61, 84]
Generated Node #0,0,1: 67:[61, 84] Operation: 45+39=84
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 67:[61, 84], Operations: ['38+1=39', '45+39=84']
Exploring Operation: 84-61=23, Resulting Numbers: [23]
23,67 unequal: No Solution
Exploring Operation: 61+84=145, Resulting Numbers: [145]
145,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 67:[45, 100], Operations: ['38+1=39', '61+39=100']
Exploring Operation: 45+100=145, Resulting Numbers: [145]
145,67 unequal: No Solution
Exploring Operation: 100-45=55, Resulting Numbers: [55]
55,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[38, 45, 62], Operations: ['61+1=62']
Exploring Operation: 38+62=100, Resulting Numbers: [45, 100]
Generated Node #0,1,0: 67:[45, 100] Operation: 38+62=100
Exploring Operation: 38+45=83, Resulting Numbers: [62, 83]
Generated Node #0,1,1: 67:[62, 83] Operation: 38+45=83
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 67:[62, 83], Operations: ['61+1=62', '38+45=83']
Exploring Operation: 62+83=145, Resulting Numbers: [145]
145,67 unequal: No Solution
Exploring Operation: 83-62=21, Resulting Numbers: [21]
21,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 67:[45, 100], Operations: ['61+1=62', '38+62=100']
Exploring Operation: 100-45=55, Resulting Numbers: [55]
55,67 unequal: No Solution
Exploring Operation: 45+100=145, Resulting Numbers: [145]
145,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
34,
8,
50,
36
] | 92 | [
"50-34=16",
"8*16=128",
"128-36=92"
] | Current State: 92:[34, 8, 50, 36], Operations: []
Exploring Operation: 50-34=16, Resulting Numbers: [8, 36, 16]
Generated Node #2: [8, 36, 16] from Operation: 50-34=16
Current State: 92:[8, 36, 16], Operations: ['50-34=16']
Exploring Operation: 8*16=128, Resulting Numbers: [36, 128]
Generated Node #3: [36, 128] from Operation: 8*16=128
Current State: 92:[36, 128], Operations: ['50-34=16', '8*16=128']
Exploring Operation: 128-36=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[34, 8, 50, 36], Operations: []
Exploring Operation: 36-34=2, Resulting Numbers: [8, 50, 2]
Generated Node #0,0: 92:[8, 50, 2] Operation: 36-34=2
Exploring Operation: 34-8=26, Resulting Numbers: [50, 36, 26]
Generated Node #0,1: 92:[50, 36, 26] Operation: 34-8=26
Exploring Operation: 8+36=44, Resulting Numbers: [34, 50, 44]
Generated Node #0,2: 92:[34, 50, 44] Operation: 8+36=44
Moving to Node #0,0
Current State: 92:[8, 50, 2], Operations: ['36-34=2']
Exploring Operation: 50-8=42, Resulting Numbers: [2, 42]
Generated Node #0,0,0: 92:[2, 42] Operation: 50-8=42
Exploring Operation: 8/2=4, Resulting Numbers: [50, 4]
Generated Node #0,0,1: 92:[50, 4] Operation: 8/2=4
Exploring Operation: 8-2=6, Resulting Numbers: [50, 6]
Generated Node #0,0,2: 92:[50, 6] Operation: 8-2=6
Moving to Node #0,1
Current State: 92:[50, 36, 26], Operations: ['34-8=26']
Exploring Operation: 50+36=86, Resulting Numbers: [26, 86]
Generated Node #0,1,0: 92:[26, 86] Operation: 50+36=86
Exploring Operation: 36-26=10, Resulting Numbers: [50, 10]
Generated Node #0,1,1: 92:[50, 10] Operation: 36-26=10
Exploring Operation: 50-26=24, Resulting Numbers: [36, 24]
Generated Node #0,1,2: 92:[36, 24] Operation: 50-26=24
Moving to Node #0,2
Current State: 92:[34, 50, 44], Operations: ['8+36=44']
Exploring Operation: 50-34=16, Resulting Numbers: [44, 16]
Generated Node #0,2,0: 92:[44, 16] Operation: 50-34=16
Exploring Operation: 44-34=10, Resulting Numbers: [50, 10]
Generated Node #0,2,1: 92:[50, 10] Operation: 44-34=10
Exploring Operation: 34+50=84, Resulting Numbers: [44, 84]
Generated Node #0,2,2: 92:[44, 84] Operation: 34+50=84
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 92:[44, 16], Operations: ['8+36=44', '50-34=16']
Exploring Operation: 44*16=704, Resulting Numbers: [704]
704,92 unequal: No Solution
Exploring Operation: 44+16=60, Resulting Numbers: [60]
60,92 unequal: No Solution
Exploring Operation: 44-16=28, Resulting Numbers: [28]
28,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 92:[50, 10], Operations: ['8+36=44', '44-34=10']
Exploring Operation: 50/10=5, Resulting Numbers: [5]
5,92 unequal: No Solution
Exploring Operation: 50-10=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 50+10=60, Resulting Numbers: [60]
60,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 92:[44, 84], Operations: ['8+36=44', '34+50=84']
Exploring Operation: 44+84=128, Resulting Numbers: [128]
128,92 unequal: No Solution
Exploring Operation: 44*84=3696, Resulting Numbers: [3696]
3696,92 unequal: No Solution
Exploring Operation: 84-44=40, Resulting Numbers: [40]
40,92 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: 92:[2, 42], Operations: ['36-34=2', '50-8=42']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,92 unequal: No Solution
Exploring Operation: 2+42=44, Resulting Numbers: [44]
44,92 unequal: No Solution
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Moving to Node #0,0,1
Current State: 92:[50, 4], Operations: ['36-34=2', '8/2=4']
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,92 unequal: No Solution
Exploring Operation: 50*4=200, Resulting Numbers: [200]
200,92 unequal: No Solution
Exploring Operation: 50+4=54, Resulting Numbers: [54]
54,92 unequal: No Solution
Moving to Node #0,0,2
Current State: 92:[50, 6], Operations: ['36-34=2', '8-2=6']
Exploring Operation: 50+6=56, Resulting Numbers: [56]
56,92 unequal: No Solution
Exploring Operation: 50-6=44, Resulting Numbers: [44]
44,92 unequal: No Solution
Exploring Operation: 50*6=300, Resulting Numbers: [300]
300,92 unequal: No Solution
Moving to Node #0,1,0
Current State: 92:[26, 86], Operations: ['34-8=26', '50+36=86']
Exploring Operation: 26*86=2236, Resulting Numbers: [2236]
2236,92 unequal: No Solution
Exploring Operation: 26+86=112, Resulting Numbers: [112]
112,92 unequal: No Solution
Exploring Operation: 86-26=60, Resulting Numbers: [60]
60,92 unequal: No Solution
Moving to Node #0,1,1
Current State: 92:[50, 10], Operations: ['34-8=26', '36-26=10']
Exploring Operation: 50-10=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 50+10=60, Resulting Numbers: [60]
60,92 unequal: No Solution
Exploring Operation: 50/10=5, Resulting Numbers: [5]
5,92 unequal: No Solution
Moving to Node #0,1,2
Current State: 92:[36, 24], Operations: ['34-8=26', '50-26=24']
Exploring Operation: 36+24=60, Resulting Numbers: [60]
60,92 unequal: No Solution
Exploring Operation: 36*24=864, Resulting Numbers: [864]
864,92 unequal: No Solution
Exploring Operation: 36-24=12, Resulting Numbers: [12]
12,92 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
23,
97,
47,
46
] | 75 | [
"97-23=74",
"47-46=1",
"74+1=75"
] | Current State: 75:[23, 97, 47, 46], Operations: []
Exploring Operation: 97-23=74, Resulting Numbers: [47, 46, 74]
Generated Node #2: [47, 46, 74] from Operation: 97-23=74
Current State: 75:[47, 46, 74], Operations: ['97-23=74']
Exploring Operation: 47-46=1, Resulting Numbers: [74, 1]
Generated Node #3: [74, 1] from Operation: 47-46=1
Current State: 75:[74, 1], Operations: ['97-23=74', '47-46=1']
Exploring Operation: 74+1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[23, 97, 47, 46], Operations: []
Exploring Operation: 46/23=2, Resulting Numbers: [97, 47, 2]
Generated Node #0,0: 75:[97, 47, 2] Operation: 46/23=2
Exploring Operation: 47-23=24, Resulting Numbers: [97, 46, 24]
Generated Node #0,1: 75:[97, 46, 24] Operation: 47-23=24
Exploring Operation: 97-23=74, Resulting Numbers: [47, 46, 74]
Generated Node #0,2: 75:[47, 46, 74] Operation: 97-23=74
Exploring Operation: 47+46=93, Resulting Numbers: [23, 97, 93]
Generated Node #0,3: 75:[23, 97, 93] Operation: 47+46=93
Exploring Operation: 47-46=1, Resulting Numbers: [23, 97, 1]
Generated Node #0,4: 75:[23, 97, 1] Operation: 47-46=1
Start Sub Search at level 1: Moving to Node #0,4
Current State: 75:[23, 97, 1], Operations: ['47-46=1']
Exploring Operation: 23*1=23, Resulting Numbers: [97, 23]
Generated Node #0,4,0: 75:[97, 23] Operation: 23*1=23
Exploring Operation: 97-1=96, Resulting Numbers: [23, 96]
Generated Node #0,4,1: 75:[23, 96] Operation: 97-1=96
Exploring Operation: 23/1=23, Resulting Numbers: [97, 23]
Generated Node #0,4,2: 75:[97, 23] Operation: 23/1=23
Exploring Operation: 23+1=24, Resulting Numbers: [97, 24]
Generated Node #0,4,3: 75:[97, 24] Operation: 23+1=24
Exploring Operation: 97-23=74, Resulting Numbers: [1, 74]
Generated Node #0,4,4: 75:[1, 74] Operation: 97-23=74
Moving to Node #0,4,4
Current State: 75:[1, 74], Operations: ['47-46=1', '97-23=74']
Exploring Operation: 1*74=74, Resulting Numbers: [74]
74,75 unequal: No Solution
Exploring Operation: 1+74=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[23, 97, 47, 46], Operations: []
Exploring Operation: 47-46=1, Resulting Numbers: [23, 97, 1]
Generated Node #0,4: 75:[23, 97, 1] Operation: 47-46=1
Moving to Node #0,4
Current State: 75:[23, 97, 1], Operations: ['47-46=1']
Exploring Operation: 97-23=74, Resulting Numbers: [1, 74]
Generated Node #0,4,4: 75:[1, 74] Operation: 97-23=74
Moving to Node #0,4,4
Current State: 75:[1, 74], Operations: ['47-46=1', '97-23=74']
Exploring Operation: 1+74=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
28,
30,
61,
43
] | 40 | [
"28+30=58",
"61-43=18",
"58-18=40"
] | Current State: 40:[28, 30, 61, 43], Operations: []
Exploring Operation: 28+30=58, Resulting Numbers: [61, 43, 58]
Generated Node #2: [61, 43, 58] from Operation: 28+30=58
Current State: 40:[61, 43, 58], Operations: ['28+30=58']
Exploring Operation: 61-43=18, Resulting Numbers: [58, 18]
Generated Node #3: [58, 18] from Operation: 61-43=18
Current State: 40:[58, 18], Operations: ['28+30=58', '61-43=18']
Exploring Operation: 58-18=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[28, 30, 61, 43], Operations: []
Exploring Operation: 61-30=31, Resulting Numbers: [28, 43, 31]
Generated Node #0,0: 40:[28, 43, 31] Operation: 61-30=31
Exploring Operation: 30-28=2, Resulting Numbers: [61, 43, 2]
Generated Node #0,1: 40:[61, 43, 2] Operation: 30-28=2
Exploring Operation: 61-43=18, Resulting Numbers: [28, 30, 18]
Generated Node #0,2: 40:[28, 30, 18] Operation: 61-43=18
Exploring Operation: 43-30=13, Resulting Numbers: [28, 61, 13]
Generated Node #0,3: 40:[28, 61, 13] Operation: 43-30=13
Exploring Operation: 61-28=33, Resulting Numbers: [30, 43, 33]
Generated Node #0,4: 40:[30, 43, 33] Operation: 61-28=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[28, 43, 31], Operations: ['61-30=31']
Exploring Operation: 28+43=71, Resulting Numbers: [31, 71]
Generated Node #0,0,0: 40:[31, 71] Operation: 28+43=71
Exploring Operation: 43-31=12, Resulting Numbers: [28, 12]
Generated Node #0,0,1: 40:[28, 12] Operation: 43-31=12
Exploring Operation: 31-28=3, Resulting Numbers: [43, 3]
Generated Node #0,0,2: 40:[43, 3] Operation: 31-28=3
Exploring Operation: 28+31=59, Resulting Numbers: [43, 59]
Generated Node #0,0,3: 40:[43, 59] Operation: 28+31=59
Exploring Operation: 43-28=15, Resulting Numbers: [31, 15]
Generated Node #0,0,4: 40:[31, 15] Operation: 43-28=15
Moving to Node #0,0,2
Current State: 40:[43, 3], Operations: ['61-30=31', '31-28=3']
Exploring Operation: 43*3=129, Resulting Numbers: [129]
129,40 unequal: No Solution
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[28, 30, 61, 43], Operations: []
Exploring Operation: 61-30=31, Resulting Numbers: [28, 43, 31]
Generated Node #0,0: 40:[28, 43, 31] Operation: 61-30=31
Moving to Node #0,0
Current State: 40:[28, 43, 31], Operations: ['61-30=31']
Exploring Operation: 31-28=3, Resulting Numbers: [43, 3]
Generated Node #0,0,2: 40:[43, 3] Operation: 31-28=3
Moving to Node #0,0,2
Current State: 40:[43, 3], Operations: ['61-30=31', '31-28=3']
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
60,
8,
13,
90
] | 94 | [
"60-8=52",
"52/13=4",
"90+4=94"
] | Current State: 94:[60, 8, 13, 90], Operations: []
Exploring Operation: 60-8=52, Resulting Numbers: [13, 90, 52]
Generated Node #2: [13, 90, 52] from Operation: 60-8=52
Current State: 94:[13, 90, 52], Operations: ['60-8=52']
Exploring Operation: 52/13=4, Resulting Numbers: [90, 4]
Generated Node #3: [90, 4] from Operation: 52/13=4
Current State: 94:[90, 4], Operations: ['60-8=52', '52/13=4']
Exploring Operation: 90+4=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[60, 8, 13, 90], Operations: []
Exploring Operation: 8*13=104, Resulting Numbers: [60, 90, 104]
Generated Node #0,0: 94:[60, 90, 104] Operation: 8*13=104
Exploring Operation: 60-8=52, Resulting Numbers: [13, 90, 52]
Generated Node #0,1: 94:[13, 90, 52] Operation: 60-8=52
Exploring Operation: 13-8=5, Resulting Numbers: [60, 90, 5]
Generated Node #0,2: 94:[60, 90, 5] Operation: 13-8=5
Exploring Operation: 60-13=47, Resulting Numbers: [8, 90, 47]
Generated Node #0,3: 94:[8, 90, 47] Operation: 60-13=47
Moving to Node #0,3
Current State: 94:[8, 90, 47], Operations: ['60-13=47']
Exploring Operation: 90-47=43, Resulting Numbers: [8, 43]
Generated Node #0,3,0: 94:[8, 43] Operation: 90-47=43
Exploring Operation: 90-8=82, Resulting Numbers: [47, 82]
Generated Node #0,3,1: 94:[47, 82] Operation: 90-8=82
Exploring Operation: 8+90=98, Resulting Numbers: [47, 98]
Generated Node #0,3,2: 94:[47, 98] Operation: 8+90=98
Exploring Operation: 8+47=55, Resulting Numbers: [90, 55]
Generated Node #0,3,3: 94:[90, 55] Operation: 8+47=55
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 94:[47, 98], Operations: ['60-13=47', '8+90=98']
Exploring Operation: 47+98=145, Resulting Numbers: [145]
145,94 unequal: No Solution
Exploring Operation: 47*98=4606, Resulting Numbers: [4606]
4606,94 unequal: No Solution
Exploring Operation: 98-47=51, Resulting Numbers: [51]
51,94 unequal: No Solution
No 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: 94:[8, 43], Operations: ['60-13=47', '90-47=43']
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,94 unequal: No Solution
Exploring Operation: 8+43=51, Resulting Numbers: [51]
51,94 unequal: No Solution
Exploring Operation: 8*43=344, Resulting Numbers: [344]
344,94 unequal: No Solution
No 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: 94:[47, 82], Operations: ['60-13=47', '90-8=82']
Exploring Operation: 47+82=129, Resulting Numbers: [129]
129,94 unequal: No Solution
Exploring Operation: 47*82=3854, Resulting Numbers: [3854]
3854,94 unequal: No Solution
Exploring Operation: 82-47=35, Resulting Numbers: [35]
35,94 unequal: No Solution
No 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: 94:[90, 55], Operations: ['60-13=47', '8+47=55']
Exploring Operation: 90+55=145, Resulting Numbers: [145]
145,94 unequal: No Solution
Exploring Operation: 90*55=4950, Resulting Numbers: [4950]
4950,94 unequal: No Solution
Exploring Operation: 90-55=35, Resulting Numbers: [35]
35,94 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: 94:[60, 90, 5], Operations: ['13-8=5']
Exploring Operation: 60/5=12, Resulting Numbers: [90, 12]
Generated Node #0,2,0: 94:[90, 12] Operation: 60/5=12
Exploring Operation: 90-60=30, Resulting Numbers: [5, 30]
Generated Node #0,2,1: 94:[5, 30] Operation: 90-60=30
Exploring Operation: 90+5=95, Resulting Numbers: [60, 95]
Generated Node #0,2,2: 94:[60, 95] Operation: 90+5=95
Exploring Operation: 60-5=55, Resulting Numbers: [90, 55]
Generated Node #0,2,3: 94:[90, 55] Operation: 60-5=55
Moving to Node #0,1
Current State: 94:[13, 90, 52], Operations: ['60-8=52']
Exploring Operation: 52/13=4, Resulting Numbers: [90, 4]
Generated Node #0,1,0: 94:[90, 4] Operation: 52/13=4
Exploring Operation: 13+90=103, Resulting Numbers: [52, 103]
Generated Node #0,1,1: 94:[52, 103] Operation: 13+90=103
Exploring Operation: 90-52=38, Resulting Numbers: [13, 38]
Generated Node #0,1,2: 94:[13, 38] Operation: 90-52=38
Exploring Operation: 52-13=39, Resulting Numbers: [90, 39]
Generated Node #0,1,3: 94:[90, 39] Operation: 52-13=39
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 94:[90, 4], Operations: ['60-8=52', '52/13=4']
Exploring Operation: 90+4=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[60, 8, 13, 90], Operations: []
Exploring Operation: 60-8=52, Resulting Numbers: [13, 90, 52]
Generated Node #0,1: 94:[13, 90, 52] Operation: 60-8=52
Moving to Node #0,1
Current State: 94:[13, 90, 52], Operations: ['60-8=52']
Exploring Operation: 52/13=4, Resulting Numbers: [90, 4]
Generated Node #0,1,0: 94:[90, 4] Operation: 52/13=4
Moving to Node #0,1,0
Current State: 94:[90, 4], Operations: ['60-8=52', '52/13=4']
Exploring Operation: 90+4=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.971354 | hs_4 | mult_heuristic |
[
81,
46,
80,
15
] | 62 | [
"81+46=127",
"80-15=65",
"127-65=62"
] | Current State: 62:[81, 46, 80, 15], Operations: []
Exploring Operation: 81+46=127, Resulting Numbers: [80, 15, 127]
Generated Node #2: [80, 15, 127] from Operation: 81+46=127
Current State: 62:[80, 15, 127], Operations: ['81+46=127']
Exploring Operation: 80-15=65, Resulting Numbers: [127, 65]
Generated Node #3: [127, 65] from Operation: 80-15=65
Current State: 62:[127, 65], Operations: ['81+46=127', '80-15=65']
Exploring Operation: 127-65=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[81, 46, 80, 15], Operations: []
Exploring Operation: 80-46=34, Resulting Numbers: [81, 15, 34]
Generated Node #0,0: 62:[81, 15, 34] Operation: 80-46=34
Exploring Operation: 81-46=35, Resulting Numbers: [80, 15, 35]
Generated Node #0,1: 62:[80, 15, 35] Operation: 81-46=35
Exploring Operation: 81-80=1, Resulting Numbers: [46, 15, 1]
Generated Node #0,2: 62:[46, 15, 1] Operation: 81-80=1
Moving to Node #0,2
Current State: 62:[46, 15, 1], Operations: ['81-80=1']
Exploring Operation: 46-15=31, Resulting Numbers: [1, 31]
Generated Node #0,2,0: 62:[1, 31] Operation: 46-15=31
Exploring Operation: 46+15=61, Resulting Numbers: [1, 61]
Generated Node #0,2,1: 62:[1, 61] Operation: 46+15=61
Exploring Operation: 46-1=45, Resulting Numbers: [15, 45]
Generated Node #0,2,2: 62:[15, 45] Operation: 46-1=45
Moving to Node #0,0
Current State: 62:[81, 15, 34], Operations: ['80-46=34']
Exploring Operation: 34-15=19, Resulting Numbers: [81, 19]
Generated Node #0,0,0: 62:[81, 19] Operation: 34-15=19
Exploring Operation: 81-34=47, Resulting Numbers: [15, 47]
Generated Node #0,0,1: 62:[15, 47] Operation: 81-34=47
Exploring Operation: 81-15=66, Resulting Numbers: [34, 66]
Generated Node #0,0,2: 62:[34, 66] Operation: 81-15=66
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 62:[34, 66], Operations: ['80-46=34', '81-15=66']
Exploring Operation: 34*66=2244, Resulting Numbers: [2244]
2244,62 unequal: No Solution
Exploring Operation: 66-34=32, Resulting Numbers: [32]
32,62 unequal: No Solution
Exploring Operation: 34+66=100, Resulting Numbers: [100]
100,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 62:[15, 47], Operations: ['80-46=34', '81-34=47']
Exploring Operation: 15*47=705, Resulting Numbers: [705]
705,62 unequal: No Solution
Exploring Operation: 15+47=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[81, 46, 80, 15], Operations: []
Exploring Operation: 80-46=34, Resulting Numbers: [81, 15, 34]
Generated Node #0,0: 62:[81, 15, 34] Operation: 80-46=34
Moving to Node #0,0
Current State: 62:[81, 15, 34], Operations: ['80-46=34']
Exploring Operation: 81-34=47, Resulting Numbers: [15, 47]
Generated Node #0,0,1: 62:[15, 47] Operation: 81-34=47
Moving to Node #0,0,1
Current State: 62:[15, 47], Operations: ['80-46=34', '81-34=47']
Exploring Operation: 15+47=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | mult_heuristic |
[
60,
31,
38,
4
] | 63 | [
"60-31=29",
"38-4=34",
"29+34=63"
] | Current State: 63:[60, 31, 38, 4], Operations: []
Exploring Operation: 60-31=29, Resulting Numbers: [38, 4, 29]
Generated Node #2: [38, 4, 29] from Operation: 60-31=29
Current State: 63:[38, 4, 29], Operations: ['60-31=29']
Exploring Operation: 38-4=34, Resulting Numbers: [29, 34]
Generated Node #3: [29, 34] from Operation: 38-4=34
Current State: 63:[29, 34], Operations: ['60-31=29', '38-4=34']
Exploring Operation: 29+34=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[60, 31, 38, 4], Operations: []
Exploring Operation: 60-31=29, Resulting Numbers: [38, 4, 29]
Generated Node #0,0: 63:[38, 4, 29] Operation: 60-31=29
Exploring Operation: 31+38=69, Resulting Numbers: [60, 4, 69]
Generated Node #0,1: 63:[60, 4, 69] Operation: 31+38=69
Exploring Operation: 38-31=7, Resulting Numbers: [60, 4, 7]
Generated Node #0,2: 63:[60, 4, 7] Operation: 38-31=7
Exploring Operation: 60-38=22, Resulting Numbers: [31, 4, 22]
Generated Node #0,3: 63:[31, 4, 22] Operation: 60-38=22
Exploring Operation: 31-4=27, Resulting Numbers: [60, 38, 27]
Generated Node #0,4: 63:[60, 38, 27] Operation: 31-4=27
Moving to Node #0,2
Current State: 63:[60, 4, 7], Operations: ['38-31=7']
Exploring Operation: 60/4=15, Resulting Numbers: [7, 15]
Generated Node #0,2,0: 63:[7, 15] Operation: 60/4=15
Exploring Operation: 7-4=3, Resulting Numbers: [60, 3]
Generated Node #0,2,1: 63:[60, 3] Operation: 7-4=3
Exploring Operation: 60+4=64, Resulting Numbers: [7, 64]
Generated Node #0,2,2: 63:[7, 64] Operation: 60+4=64
Exploring Operation: 60+7=67, Resulting Numbers: [4, 67]
Generated Node #0,2,3: 63:[4, 67] Operation: 60+7=67
Exploring Operation: 4+7=11, Resulting Numbers: [60, 11]
Generated Node #0,2,4: 63:[60, 11] Operation: 4+7=11
Moving to Node #0,1
Current State: 63:[60, 4, 69], Operations: ['31+38=69']
Exploring Operation: 69-4=65, Resulting Numbers: [60, 65]
Generated Node #0,1,0: 63:[60, 65] Operation: 69-4=65
Exploring Operation: 69-60=9, Resulting Numbers: [4, 9]
Generated Node #0,1,1: 63:[4, 9] Operation: 69-60=9
Exploring Operation: 60/4=15, Resulting Numbers: [69, 15]
Generated Node #0,1,2: 63:[69, 15] Operation: 60/4=15
Exploring Operation: 60-4=56, Resulting Numbers: [69, 56]
Generated Node #0,1,3: 63:[69, 56] Operation: 60-4=56
Exploring Operation: 60+4=64, Resulting Numbers: [69, 64]
Generated Node #0,1,4: 63:[69, 64] Operation: 60+4=64
Moving to Node #0,3
Current State: 63:[31, 4, 22], Operations: ['60-38=22']
Exploring Operation: 31-22=9, Resulting Numbers: [4, 9]
Generated Node #0,3,0: 63:[4, 9] Operation: 31-22=9
Exploring Operation: 31+4=35, Resulting Numbers: [22, 35]
Generated Node #0,3,1: 63:[22, 35] Operation: 31+4=35
Exploring Operation: 22-4=18, Resulting Numbers: [31, 18]
Generated Node #0,3,2: 63:[31, 18] Operation: 22-4=18
Exploring Operation: 31+22=53, Resulting Numbers: [4, 53]
Generated Node #0,3,3: 63:[4, 53] Operation: 31+22=53
Exploring Operation: 31-4=27, Resulting Numbers: [22, 27]
Generated Node #0,3,4: 63:[22, 27] Operation: 31-4=27
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 63:[4, 9], Operations: ['60-38=22', '31-22=9']
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,63 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,63 unequal: No Solution
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 63:[22, 27], Operations: ['60-38=22', '31-4=27']
Exploring Operation: 22+27=49, Resulting Numbers: [49]
49,63 unequal: No Solution
Exploring Operation: 22*27=594, Resulting Numbers: [594]
594,63 unequal: No Solution
Exploring Operation: 27-22=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 #0,3,3
Current State: 63:[4, 53], Operations: ['60-38=22', '31+22=53']
Exploring Operation: 4*53=212, Resulting Numbers: [212]
212,63 unequal: No Solution
Exploring Operation: 4+53=57, Resulting Numbers: [57]
57,63 unequal: No Solution
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 63:[31, 18], Operations: ['60-38=22', '22-4=18']
Exploring Operation: 31-18=13, Resulting Numbers: [13]
13,63 unequal: No Solution
Exploring Operation: 31*18=558, Resulting Numbers: [558]
558,63 unequal: No Solution
Exploring Operation: 31+18=49, Resulting Numbers: [49]
49,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 63:[22, 35], Operations: ['60-38=22', '31+4=35']
Exploring Operation: 35-22=13, Resulting Numbers: [13]
13,63 unequal: No Solution
Exploring Operation: 22*35=770, Resulting Numbers: [770]
770,63 unequal: No Solution
Exploring Operation: 22+35=57, Resulting Numbers: [57]
57,63 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: 63:[38, 4, 29], Operations: ['60-31=29']
Exploring Operation: 38+4=42, Resulting Numbers: [29, 42]
Generated Node #0,0,0: 63:[29, 42] Operation: 38+4=42
Exploring Operation: 38-4=34, Resulting Numbers: [29, 34]
Generated Node #0,0,1: 63:[29, 34] Operation: 38-4=34
Exploring Operation: 38-29=9, Resulting Numbers: [4, 9]
Generated Node #0,0,2: 63:[4, 9] Operation: 38-29=9
Exploring Operation: 38+29=67, Resulting Numbers: [4, 67]
Generated Node #0,0,3: 63:[4, 67] Operation: 38+29=67
Exploring Operation: 29-4=25, Resulting Numbers: [38, 25]
Generated Node #0,0,4: 63:[38, 25] Operation: 29-4=25
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 63:[4, 9], Operations: ['60-31=29', '38-29=9']
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,63 unequal: No Solution
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,63 unequal: No Solution
Exploring Operation: 9-4=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 #0,0,3
Current State: 63:[4, 67], Operations: ['60-31=29', '38+29=67']
Exploring Operation: 4+67=71, Resulting Numbers: [71]
71,63 unequal: No Solution
Exploring Operation: 4*67=268, Resulting Numbers: [268]
268,63 unequal: No Solution
Exploring Operation: 67-4=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[60, 31, 38, 4], Operations: []
Exploring Operation: 60-31=29, Resulting Numbers: [38, 4, 29]
Generated Node #0,0: 63:[38, 4, 29] Operation: 60-31=29
Moving to Node #0,0
Current State: 63:[38, 4, 29], Operations: ['60-31=29']
Exploring Operation: 38+29=67, Resulting Numbers: [4, 67]
Generated Node #0,0,3: 63:[4, 67] Operation: 38+29=67
Moving to Node #0,0,3
Current State: 63:[4, 67], Operations: ['60-31=29', '38+29=67']
Exploring Operation: 67-4=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.956597 | hs_5 | sum_heuristic |
[
45,
9,
50,
11
] | 55 | [
"11-9=2",
"50*2=100",
"100-45=55"
] | Current State: 55:[45, 9, 50, 11], Operations: []
Exploring Operation: 11-9=2, Resulting Numbers: [45, 50, 2]
Generated Node #2: [45, 50, 2] from Operation: 11-9=2
Current State: 55:[45, 50, 2], Operations: ['11-9=2']
Exploring Operation: 50*2=100, Resulting Numbers: [45, 100]
Generated Node #3: [45, 100] from Operation: 50*2=100
Current State: 55:[45, 100], Operations: ['11-9=2', '50*2=100']
Exploring Operation: 100-45=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[45, 9, 50, 11], Operations: []
Exploring Operation: 45+11=56, Resulting Numbers: [9, 50, 56]
Generated Node #0,0: 55:[9, 50, 56] Operation: 45+11=56
Exploring Operation: 45/9=5, Resulting Numbers: [50, 11, 5]
Generated Node #0,1: 55:[50, 11, 5] Operation: 45/9=5
Exploring Operation: 9+50=59, Resulting Numbers: [45, 11, 59]
Generated Node #0,2: 55:[45, 11, 59] Operation: 9+50=59
Exploring Operation: 45+9=54, Resulting Numbers: [50, 11, 54]
Generated Node #0,3: 55:[50, 11, 54] Operation: 45+9=54
Exploring Operation: 50-45=5, Resulting Numbers: [9, 11, 5]
Generated Node #0,4: 55:[9, 11, 5] Operation: 50-45=5
Start Sub Search at level 1: Moving to Node #0,4
Current State: 55:[9, 11, 5], Operations: ['50-45=5']
Exploring Operation: 11-9=2, Resulting Numbers: [5, 2]
Generated Node #0,4,0: 55:[5, 2] Operation: 11-9=2
Exploring Operation: 11-5=6, Resulting Numbers: [9, 6]
Generated Node #0,4,1: 55:[9, 6] Operation: 11-5=6
Exploring Operation: 9+5=14, Resulting Numbers: [11, 14]
Generated Node #0,4,2: 55:[11, 14] Operation: 9+5=14
Exploring Operation: 11*5=55, Resulting Numbers: [9, 55]
Generated Node #0,4,3: 55:[9, 55] Operation: 11*5=55
Exploring Operation: 9-5=4, Resulting Numbers: [11, 4]
Generated Node #0,4,4: 55:[11, 4] Operation: 9-5=4
Moving to Node #0,4,4
Current State: 55:[11, 4], Operations: ['50-45=5', '9-5=4']
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,55 unequal: No Solution
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,55 unequal: No Solution
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,55 unequal: No Solution
Moving to Node #0,4,3
Current State: 55:[9, 55], Operations: ['50-45=5', '11*5=55']
Exploring Operation: 55-9=46, Resulting Numbers: [46]
46,55 unequal: No Solution
Exploring Operation: 9*55=495, Resulting Numbers: [495]
495,55 unequal: No Solution
Exploring Operation: 9+55=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Moving to Node #0,4,0
Current State: 55:[5, 2], Operations: ['50-45=5', '11-9=2']
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,55 unequal: No Solution
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,55 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,55 unequal: No Solution
Moving to Node #0,4,1
Current State: 55:[9, 6], Operations: ['50-45=5', '11-5=6']
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,55 unequal: No Solution
Exploring Operation: 9+6=15, Resulting Numbers: [15]
15,55 unequal: No Solution
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,55 unequal: No Solution
Moving to Node #0,4,2
Current State: 55:[11, 14], Operations: ['50-45=5', '9+5=14']
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,55 unequal: No Solution
Exploring Operation: 11*14=154, Resulting Numbers: [154]
154,55 unequal: No Solution
Exploring Operation: 11+14=25, Resulting Numbers: [25]
25,55 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:[50, 11, 5], Operations: ['45/9=5']
Exploring Operation: 11-5=6, Resulting Numbers: [50, 6]
Generated Node #0,1,0: 55:[50, 6] Operation: 11-5=6
Exploring Operation: 50+11=61, Resulting Numbers: [5, 61]
Generated Node #0,1,1: 55:[5, 61] Operation: 50+11=61
Exploring Operation: 50+5=55, Resulting Numbers: [11, 55]
Generated Node #0,1,2: 55:[11, 55] Operation: 50+5=55
Exploring Operation: 50/5=10, Resulting Numbers: [11, 10]
Generated Node #0,1,3: 55:[11, 10] Operation: 50/5=10
Exploring Operation: 11*5=55, Resulting Numbers: [50, 55]
Generated Node #0,1,4: 55:[50, 55] Operation: 11*5=55
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 55:[11, 55], Operations: ['45/9=5', '50+5=55']
Exploring Operation: 11+55=66, Resulting Numbers: [66]
66,55 unequal: No Solution
Exploring Operation: 11*55=605, Resulting Numbers: [605]
605,55 unequal: No Solution
Exploring Operation: 55-11=44, Resulting Numbers: [44]
44,55 unequal: No Solution
Exploring Operation: 55/11=5, Resulting Numbers: [5]
5,55 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:[11, 10], Operations: ['45/9=5', '50/5=10']
Exploring Operation: 11*10=110, Resulting Numbers: [110]
110,55 unequal: No Solution
Exploring Operation: 11+10=21, Resulting Numbers: [21]
21,55 unequal: No Solution
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,55 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 #0,1,4
Current State: 55:[50, 55], Operations: ['45/9=5', '11*5=55']
Exploring Operation: 50+55=105, Resulting Numbers: [105]
105,55 unequal: No Solution
Exploring Operation: 50*55=2750, Resulting Numbers: [2750]
2750,55 unequal: No Solution
Exploring Operation: 55-50=5, Resulting Numbers: [5]
5,55 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:[50, 6], Operations: ['45/9=5', '11-5=6']
Exploring Operation: 50*6=300, Resulting Numbers: [300]
300,55 unequal: No Solution
Exploring Operation: 50+6=56, Resulting Numbers: [56]
56,55 unequal: No Solution
Exploring Operation: 50-6=44, Resulting Numbers: [44]
44,55 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:[5, 61], Operations: ['45/9=5', '50+11=61']
Exploring Operation: 5+61=66, Resulting Numbers: [66]
66,55 unequal: No Solution
Exploring Operation: 5*61=305, Resulting Numbers: [305]
305,55 unequal: No Solution
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,55 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:[50, 11, 54], Operations: ['45+9=54']
Exploring Operation: 50+11=61, Resulting Numbers: [54, 61]
Generated Node #0,3,0: 55:[54, 61] Operation: 50+11=61
Exploring Operation: 50-11=39, Resulting Numbers: [54, 39]
Generated Node #0,3,1: 55:[54, 39] Operation: 50-11=39
Exploring Operation: 54-11=43, Resulting Numbers: [50, 43]
Generated Node #0,3,2: 55:[50, 43] Operation: 54-11=43
Exploring Operation: 11+54=65, Resulting Numbers: [50, 65]
Generated Node #0,3,3: 55:[50, 65] Operation: 11+54=65
Exploring Operation: 54-50=4, Resulting Numbers: [11, 4]
Generated Node #0,3,4: 55:[11, 4] Operation: 54-50=4
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 55:[11, 4], Operations: ['45+9=54', '54-50=4']
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,55 unequal: No Solution
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,55 unequal: No Solution
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,55 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 #0,3,0
Current State: 55:[54, 61], Operations: ['45+9=54', '50+11=61']
Exploring Operation: 61-54=7, Resulting Numbers: [7]
7,55 unequal: No Solution
Exploring Operation: 54+61=115, Resulting Numbers: [115]
115,55 unequal: No Solution
Exploring Operation: 54*61=3294, Resulting Numbers: [3294]
3294,55 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:[50, 65], Operations: ['45+9=54', '11+54=65']
Exploring Operation: 50+65=115, Resulting Numbers: [115]
115,55 unequal: No Solution
Exploring Operation: 50*65=3250, Resulting Numbers: [3250]
3250,55 unequal: No Solution
Exploring Operation: 65-50=15, Resulting Numbers: [15]
15,55 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:[54, 39], Operations: ['45+9=54', '50-11=39']
Exploring Operation: 54*39=2106, Resulting Numbers: [2106]
2106,55 unequal: No Solution
Exploring Operation: 54-39=15, Resulting Numbers: [15]
15,55 unequal: No Solution
Exploring Operation: 54+39=93, Resulting Numbers: [93]
93,55 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:[50, 43], Operations: ['45+9=54', '54-11=43']
Exploring Operation: 50*43=2150, Resulting Numbers: [2150]
2150,55 unequal: No Solution
Exploring Operation: 50-43=7, Resulting Numbers: [7]
7,55 unequal: No Solution
Exploring Operation: 50+43=93, Resulting Numbers: [93]
93,55 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 #0,0
Current State: 55:[9, 50, 56], Operations: ['45+11=56']
Exploring Operation: 50-9=41, Resulting Numbers: [56, 41]
Generated Node #0,0,0: 55:[56, 41] Operation: 50-9=41
Exploring Operation: 56-50=6, Resulting Numbers: [9, 6]
Generated Node #0,0,1: 55:[9, 6] Operation: 56-50=6
Exploring Operation: 56-9=47, Resulting Numbers: [50, 47]
Generated Node #0,0,2: 55:[50, 47] Operation: 56-9=47
Exploring Operation: 9+56=65, Resulting Numbers: [50, 65]
Generated Node #0,0,3: 55:[50, 65] Operation: 9+56=65
Exploring Operation: 9+50=59, Resulting Numbers: [56, 59]
Generated Node #0,0,4: 55:[56, 59] Operation: 9+50=59
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 55:[9, 6], Operations: ['45+11=56', '56-50=6']
Exploring Operation: 9+6=15, Resulting Numbers: [15]
15,55 unequal: No Solution
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,55 unequal: No Solution
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,55 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 #0,0,4
Current State: 55:[56, 59], Operations: ['45+11=56', '9+50=59']
Exploring Operation: 56*59=3304, Resulting Numbers: [3304]
3304,55 unequal: No Solution
Exploring Operation: 59-56=3, Resulting Numbers: [3]
3,55 unequal: No Solution
Exploring Operation: 56+59=115, Resulting Numbers: [115]
115,55 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 #0,0,2
Current State: 55:[50, 47], Operations: ['45+11=56', '56-9=47']
Exploring Operation: 50+47=97, Resulting Numbers: [97]
97,55 unequal: No Solution
Exploring Operation: 50*47=2350, Resulting Numbers: [2350]
2350,55 unequal: No Solution
Exploring Operation: 50-47=3, Resulting Numbers: [3]
3,55 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 #0,0,0
Current State: 55:[56, 41], Operations: ['45+11=56', '50-9=41']
Exploring Operation: 56*41=2296, Resulting Numbers: [2296]
2296,55 unequal: No Solution
Exploring Operation: 56+41=97, Resulting Numbers: [97]
97,55 unequal: No Solution
Exploring Operation: 56-41=15, Resulting Numbers: [15]
15,55 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 #0,0,3
Current State: 55:[50, 65], Operations: ['45+11=56', '9+56=65']
Exploring Operation: 65-50=15, Resulting Numbers: [15]
15,55 unequal: No Solution
Exploring Operation: 50+65=115, Resulting Numbers: [115]
115,55 unequal: No Solution
Exploring Operation: 50*65=3250, Resulting Numbers: [3250]
3250,55 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 #0,2
Current State: 55:[45, 11, 59], Operations: ['9+50=59']
Exploring Operation: 45+11=56, Resulting Numbers: [59, 56]
Generated Node #0,2,0: 55:[59, 56] Operation: 45+11=56
Exploring Operation: 45-11=34, Resulting Numbers: [59, 34]
Generated Node #0,2,1: 55:[59, 34] Operation: 45-11=34
Exploring Operation: 11+59=70, Resulting Numbers: [45, 70]
Generated Node #0,2,2: 55:[45, 70] Operation: 11+59=70
Exploring Operation: 59-11=48, Resulting Numbers: [45, 48]
Generated Node #0,2,3: 55:[45, 48] Operation: 59-11=48
Exploring Operation: 59-45=14, Resulting Numbers: [11, 14]
Generated Node #0,2,4: 55:[11, 14] Operation: 59-45=14
Moving to Node #0,2,4
Current State: 55:[11, 14], Operations: ['9+50=59', '59-45=14']
Exploring Operation: 11*14=154, Resulting Numbers: [154]
154,55 unequal: No Solution
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,55 unequal: No Solution
Exploring Operation: 11+14=25, Resulting Numbers: [25]
25,55 unequal: No Solution
Moving to Node #0,2,0
Current State: 55:[59, 56], Operations: ['9+50=59', '45+11=56']
Exploring Operation: 59+56=115, Resulting Numbers: [115]
115,55 unequal: No Solution
Exploring Operation: 59-56=3, Resulting Numbers: [3]
3,55 unequal: No Solution
Exploring Operation: 59*56=3304, Resulting Numbers: [3304]
3304,55 unequal: No Solution
Moving to Node #0,2,3
Current State: 55:[45, 48], Operations: ['9+50=59', '59-11=48']
Exploring Operation: 45+48=93, Resulting Numbers: [93]
93,55 unequal: No Solution
Exploring Operation: 48-45=3, Resulting Numbers: [3]
3,55 unequal: No Solution
Exploring Operation: 45*48=2160, Resulting Numbers: [2160]
2160,55 unequal: No Solution
Moving to Node #0,2,1
Current State: 55:[59, 34], Operations: ['9+50=59', '45-11=34']
Exploring Operation: 59+34=93, Resulting Numbers: [93]
93,55 unequal: No Solution
Exploring Operation: 59-34=25, Resulting Numbers: [25]
25,55 unequal: No Solution
Exploring Operation: 59*34=2006, Resulting Numbers: [2006]
2006,55 unequal: No Solution
Moving to Node #0,2,2
Current State: 55:[45, 70], Operations: ['9+50=59', '11+59=70']
Exploring Operation: 70-45=25, Resulting Numbers: [25]
25,55 unequal: No Solution
Exploring Operation: 45+70=115, Resulting Numbers: [115]
115,55 unequal: No Solution
Exploring Operation: 45*70=3150, Resulting Numbers: [3150]
3150,55 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 |
[
81,
9,
27,
91
] | 79 | [
"81+27=108",
"108/9=12",
"91-12=79"
] | Current State: 79:[81, 9, 27, 91], Operations: []
Exploring Operation: 81+27=108, Resulting Numbers: [9, 91, 108]
Generated Node #2: [9, 91, 108] from Operation: 81+27=108
Current State: 79:[9, 91, 108], Operations: ['81+27=108']
Exploring Operation: 108/9=12, Resulting Numbers: [91, 12]
Generated Node #3: [91, 12] from Operation: 108/9=12
Current State: 79:[91, 12], Operations: ['81+27=108', '108/9=12']
Exploring Operation: 91-12=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[81, 9, 27, 91], Operations: []
Exploring Operation: 9+27=36, Resulting Numbers: [81, 91, 36]
Generated Node #0,0: 79:[81, 91, 36] Operation: 9+27=36
Moving to Node #0,0
Current State: 79:[81, 91, 36], Operations: ['9+27=36']
Exploring Operation: 91-36=55, Resulting Numbers: [81, 55]
Generated Node #0,0,0: 79:[81, 55] Operation: 91-36=55
Moving to Node #0,0,0
Current State: 79:[81, 55], Operations: ['9+27=36', '91-36=55']
Exploring Operation: 81-55=26, Resulting Numbers: [26]
26,79 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
75,
1,
24,
5
] | 81 | [
"5-1=4",
"24/4=6",
"75+6=81"
] | Current State: 81:[75, 1, 24, 5], Operations: []
Exploring Operation: 5-1=4, Resulting Numbers: [75, 24, 4]
Generated Node #2: [75, 24, 4] from Operation: 5-1=4
Current State: 81:[75, 24, 4], Operations: ['5-1=4']
Exploring Operation: 24/4=6, Resulting Numbers: [75, 6]
Generated Node #3: [75, 6] from Operation: 24/4=6
Current State: 81:[75, 6], Operations: ['5-1=4', '24/4=6']
Exploring Operation: 75+6=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[75, 1, 24, 5], Operations: []
Exploring Operation: 75+5=80, Resulting Numbers: [1, 24, 80]
Generated Node #0,0: 81:[1, 24, 80] Operation: 75+5=80
Exploring Operation: 75+1=76, Resulting Numbers: [24, 5, 76]
Generated Node #0,1: 81:[24, 5, 76] Operation: 75+1=76
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[1, 24, 80], Operations: ['75+5=80']
Exploring Operation: 1+24=25, Resulting Numbers: [80, 25]
Generated Node #0,0,0: 81:[80, 25] Operation: 1+24=25
Exploring Operation: 1+80=81, Resulting Numbers: [24, 81]
Generated Node #0,0,1: 81:[24, 81] Operation: 1+80=81
Moving to Node #0,0,0
Current State: 81:[80, 25], Operations: ['75+5=80', '1+24=25']
Exploring Operation: 80+25=105, Resulting Numbers: [105]
105,81 unequal: No Solution
Exploring Operation: 80-25=55, Resulting Numbers: [55]
55,81 unequal: No Solution
Moving to Node #0,0,1
Current State: 81:[24, 81], Operations: ['75+5=80', '1+80=81']
Exploring Operation: 24+81=105, Resulting Numbers: [105]
105,81 unequal: No Solution
Exploring Operation: 81-24=57, Resulting Numbers: [57]
57,81 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
Current State: 81:[24, 5, 76], Operations: ['75+1=76']
Exploring Operation: 24+5=29, Resulting Numbers: [76, 29]
Generated Node #0,1,0: 81:[76, 29] Operation: 24+5=29
Exploring Operation: 5+76=81, Resulting Numbers: [24, 81]
Generated Node #0,1,1: 81:[24, 81] Operation: 5+76=81
Moving to Node #0,1,1
Current State: 81:[24, 81], Operations: ['75+1=76', '5+76=81']
Exploring Operation: 81-24=57, Resulting Numbers: [57]
57,81 unequal: No Solution
Exploring Operation: 24+81=105, Resulting Numbers: [105]
105,81 unequal: No Solution
Moving to Node #0,1,0
Current State: 81:[76, 29], Operations: ['75+1=76', '24+5=29']
Exploring Operation: 76+29=105, Resulting Numbers: [105]
105,81 unequal: No Solution
Exploring Operation: 76-29=47, Resulting Numbers: [47]
47,81 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 |
[
43,
74,
67,
47
] | 97 | [
"43+74=117",
"67-47=20",
"117-20=97"
] | Current State: 97:[43, 74, 67, 47], Operations: []
Exploring Operation: 43+74=117, Resulting Numbers: [67, 47, 117]
Generated Node #2: [67, 47, 117] from Operation: 43+74=117
Current State: 97:[67, 47, 117], Operations: ['43+74=117']
Exploring Operation: 67-47=20, Resulting Numbers: [117, 20]
Generated Node #3: [117, 20] from Operation: 67-47=20
Current State: 97:[117, 20], Operations: ['43+74=117', '67-47=20']
Exploring Operation: 117-20=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[43, 74, 67, 47], Operations: []
Exploring Operation: 43+67=110, Resulting Numbers: [74, 47, 110]
Generated Node #0,0: 97:[74, 47, 110] Operation: 43+67=110
Exploring Operation: 67+47=114, Resulting Numbers: [43, 74, 114]
Generated Node #0,1: 97:[43, 74, 114] Operation: 67+47=114
Exploring Operation: 43+47=90, Resulting Numbers: [74, 67, 90]
Generated Node #0,2: 97:[74, 67, 90] Operation: 43+47=90
Moving to Node #0,2
Current State: 97:[74, 67, 90], Operations: ['43+47=90']
Exploring Operation: 74-67=7, Resulting Numbers: [90, 7]
Generated Node #0,2,0: 97:[90, 7] Operation: 74-67=7
Exploring Operation: 67+90=157, Resulting Numbers: [74, 157]
Generated Node #0,2,1: 97:[74, 157] Operation: 67+90=157
Exploring Operation: 74+67=141, Resulting Numbers: [90, 141]
Generated Node #0,2,2: 97:[90, 141] Operation: 74+67=141
Moving to Node #0,0
Current State: 97:[74, 47, 110], Operations: ['43+67=110']
Exploring Operation: 74-47=27, Resulting Numbers: [110, 27]
Generated Node #0,0,0: 97:[110, 27] Operation: 74-47=27
Exploring Operation: 74+47=121, Resulting Numbers: [110, 121]
Generated Node #0,0,1: 97:[110, 121] Operation: 74+47=121
Exploring Operation: 110-47=63, Resulting Numbers: [74, 63]
Generated Node #0,0,2: 97:[74, 63] Operation: 110-47=63
Moving to Node #0,1
Current State: 97:[43, 74, 114], Operations: ['67+47=114']
Exploring Operation: 114-43=71, Resulting Numbers: [74, 71]
Generated Node #0,1,0: 97:[74, 71] Operation: 114-43=71
Exploring Operation: 74-43=31, Resulting Numbers: [114, 31]
Generated Node #0,1,1: 97:[114, 31] Operation: 74-43=31
Exploring Operation: 43+74=117, Resulting Numbers: [114, 117]
Generated Node #0,1,2: 97:[114, 117] Operation: 43+74=117
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 97:[114, 117], Operations: ['67+47=114', '43+74=117']
Exploring Operation: 114*117=13338, Resulting Numbers: [13338]
13338,97 unequal: No Solution
Exploring Operation: 117-114=3, Resulting Numbers: [3]
3,97 unequal: No Solution
Exploring Operation: 114+117=231, Resulting Numbers: [231]
231,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 97:[74, 71], Operations: ['67+47=114', '114-43=71']
Exploring Operation: 74-71=3, Resulting Numbers: [3]
3,97 unequal: No Solution
Exploring Operation: 74*71=5254, Resulting Numbers: [5254]
5254,97 unequal: No Solution
Exploring Operation: 74+71=145, Resulting Numbers: [145]
145,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 97:[114, 31], Operations: ['67+47=114', '74-43=31']
Exploring Operation: 114*31=3534, Resulting Numbers: [3534]
3534,97 unequal: No Solution
Exploring Operation: 114-31=83, Resulting Numbers: [83]
83,97 unequal: No Solution
Exploring Operation: 114+31=145, Resulting Numbers: [145]
145,97 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: 97:[110, 121], Operations: ['43+67=110', '74+47=121']
Exploring Operation: 110+121=231, Resulting Numbers: [231]
231,97 unequal: No Solution
Exploring Operation: 110*121=13310, Resulting Numbers: [13310]
13310,97 unequal: No Solution
Exploring Operation: 121-110=11, Resulting Numbers: [11]
11,97 unequal: No Solution
Moving to Node #0,2,2
Current State: 97:[90, 141], Operations: ['43+47=90', '74+67=141']
Exploring Operation: 90*141=12690, Resulting Numbers: [12690]
12690,97 unequal: No Solution
Exploring Operation: 141-90=51, Resulting Numbers: [51]
51,97 unequal: No Solution
Exploring Operation: 90+141=231, Resulting Numbers: [231]
231,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[74, 63], Operations: ['43+67=110', '110-47=63']
Exploring Operation: 74-63=11, Resulting Numbers: [11]
11,97 unequal: No Solution
Exploring Operation: 74*63=4662, Resulting Numbers: [4662]
4662,97 unequal: No Solution
Exploring Operation: 74+63=137, Resulting Numbers: [137]
137,97 unequal: No Solution
Moving to Node #0,0,0
Current State: 97:[110, 27], Operations: ['43+67=110', '74-47=27']
Exploring Operation: 110+27=137, Resulting Numbers: [137]
137,97 unequal: No Solution
Exploring Operation: 110*27=2970, Resulting Numbers: [2970]
2970,97 unequal: No Solution
Exploring Operation: 110-27=83, Resulting Numbers: [83]
83,97 unequal: No Solution
Moving to Node #0,2,1
Current State: 97:[74, 157], Operations: ['43+47=90', '67+90=157']
Exploring Operation: 157-74=83, Resulting Numbers: [83]
83,97 unequal: No Solution
Exploring Operation: 74*157=11618, Resulting Numbers: [11618]
11618,97 unequal: No Solution
Exploring Operation: 74+157=231, Resulting Numbers: [231]
231,97 unequal: No Solution
Moving to Node #0,2,0
Current State: 97:[90, 7], Operations: ['43+47=90', '74-67=7']
Exploring Operation: 90*7=630, Resulting Numbers: [630]
630,97 unequal: No Solution
Exploring Operation: 90-7=83, Resulting Numbers: [83]
83,97 unequal: No Solution
Exploring Operation: 90+7=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[43, 74, 67, 47], Operations: []
Exploring Operation: 43+47=90, Resulting Numbers: [74, 67, 90]
Generated Node #0,2: 97:[74, 67, 90] Operation: 43+47=90
Moving to Node #0,2
Current State: 97:[74, 67, 90], Operations: ['43+47=90']
Exploring Operation: 74-67=7, Resulting Numbers: [90, 7]
Generated Node #0,2,0: 97:[90, 7] Operation: 74-67=7
Moving to Node #0,2,0
Current State: 97:[90, 7], Operations: ['43+47=90', '74-67=7']
Exploring Operation: 90+7=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 0.962674 | hs_3 | sum_heuristic |
[
12,
88,
82,
96
] | 18 | [
"12+96=108",
"88-82=6",
"108/6=18"
] | Current State: 18:[12, 88, 82, 96], Operations: []
Exploring Operation: 12+96=108, Resulting Numbers: [88, 82, 108]
Generated Node #2: [88, 82, 108] from Operation: 12+96=108
Current State: 18:[88, 82, 108], Operations: ['12+96=108']
Exploring Operation: 88-82=6, Resulting Numbers: [108, 6]
Generated Node #3: [108, 6] from Operation: 88-82=6
Current State: 18:[108, 6], Operations: ['12+96=108', '88-82=6']
Exploring Operation: 108/6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[12, 88, 82, 96], Operations: []
Exploring Operation: 96-82=14, Resulting Numbers: [12, 88, 14]
Generated Node #0,0: 18:[12, 88, 14] Operation: 96-82=14
Exploring Operation: 88-82=6, Resulting Numbers: [12, 96, 6]
Generated Node #0,1: 18:[12, 96, 6] Operation: 88-82=6
Exploring Operation: 96/12=8, Resulting Numbers: [88, 82, 8]
Generated Node #0,2: 18:[88, 82, 8] Operation: 96/12=8
Exploring Operation: 96-88=8, Resulting Numbers: [12, 82, 8]
Generated Node #0,3: 18:[12, 82, 8] Operation: 96-88=8
Moving to Node #0,3
Current State: 18:[12, 82, 8], Operations: ['96-88=8']
Exploring Operation: 82-12=70, Resulting Numbers: [8, 70]
Generated Node #0,3,0: 18:[8, 70] Operation: 82-12=70
Exploring Operation: 12-8=4, Resulting Numbers: [82, 4]
Generated Node #0,3,1: 18:[82, 4] Operation: 12-8=4
Exploring Operation: 12+8=20, Resulting Numbers: [82, 20]
Generated Node #0,3,2: 18:[82, 20] Operation: 12+8=20
Exploring Operation: 82-8=74, Resulting Numbers: [12, 74]
Generated Node #0,3,3: 18:[12, 74] Operation: 82-8=74
Moving to Node #0,0
Current State: 18:[12, 88, 14], Operations: ['96-82=14']
Exploring Operation: 88-14=74, Resulting Numbers: [12, 74]
Generated Node #0,0,0: 18:[12, 74] Operation: 88-14=74
Exploring Operation: 88-12=76, Resulting Numbers: [14, 76]
Generated Node #0,0,1: 18:[14, 76] Operation: 88-12=76
Exploring Operation: 12+14=26, Resulting Numbers: [88, 26]
Generated Node #0,0,2: 18:[88, 26] Operation: 12+14=26
Exploring Operation: 14-12=2, Resulting Numbers: [88, 2]
Generated Node #0,0,3: 18:[88, 2] Operation: 14-12=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 18:[12, 74], Operations: ['96-82=14', '88-14=74']
Exploring Operation: 12*74=888, Resulting Numbers: [888]
888,18 unequal: No Solution
Exploring Operation: 12+74=86, Resulting Numbers: [86]
86,18 unequal: No Solution
Exploring Operation: 74-12=62, Resulting Numbers: [62]
62,18 unequal: No Solution
No 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: 18:[14, 76], Operations: ['96-82=14', '88-12=76']
Exploring Operation: 14+76=90, Resulting Numbers: [90]
90,18 unequal: No Solution
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,18 unequal: No Solution
Exploring Operation: 14*76=1064, Resulting Numbers: [1064]
1064,18 unequal: No Solution
No 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: 18:[88, 2], Operations: ['96-82=14', '14-12=2']
Exploring Operation: 88*2=176, Resulting Numbers: [176]
176,18 unequal: No Solution
Exploring Operation: 88+2=90, Resulting Numbers: [90]
90,18 unequal: No Solution
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,18 unequal: No Solution
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,18 unequal: No Solution
No 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: 18:[88, 26], Operations: ['96-82=14', '12+14=26']
Exploring Operation: 88+26=114, Resulting Numbers: [114]
114,18 unequal: No Solution
Exploring Operation: 88-26=62, Resulting Numbers: [62]
62,18 unequal: No Solution
Exploring Operation: 88*26=2288, Resulting Numbers: [2288]
2288,18 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: 18:[12, 96, 6], Operations: ['88-82=6']
Exploring Operation: 96/6=16, Resulting Numbers: [12, 16]
Generated Node #0,1,0: 18:[12, 16] Operation: 96/6=16
Exploring Operation: 96-6=90, Resulting Numbers: [12, 90]
Generated Node #0,1,1: 18:[12, 90] Operation: 96-6=90
Exploring Operation: 96-12=84, Resulting Numbers: [6, 84]
Generated Node #0,1,2: 18:[6, 84] Operation: 96-12=84
Exploring Operation: 96/12=8, Resulting Numbers: [6, 8]
Generated Node #0,1,3: 18:[6, 8] Operation: 96/12=8
Moving to Node #0,2
Current State: 18:[88, 82, 8], Operations: ['96/12=8']
Exploring Operation: 82-8=74, Resulting Numbers: [88, 74]
Generated Node #0,2,0: 18:[88, 74] Operation: 82-8=74
Exploring Operation: 88-82=6, Resulting Numbers: [8, 6]
Generated Node #0,2,1: 18:[8, 6] Operation: 88-82=6
Exploring Operation: 88/8=11, Resulting Numbers: [82, 11]
Generated Node #0,2,2: 18:[82, 11] Operation: 88/8=11
Exploring Operation: 88-8=80, Resulting Numbers: [82, 80]
Generated Node #0,2,3: 18:[82, 80] Operation: 88-8=80
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 18:[8, 6], Operations: ['96/12=8', '88-82=6']
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,18 unequal: No Solution
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,18 unequal: No Solution
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,18 unequal: No Solution
No 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: 18:[82, 11], Operations: ['96/12=8', '88/8=11']
Exploring Operation: 82*11=902, Resulting Numbers: [902]
902,18 unequal: No Solution
Exploring Operation: 82-11=71, Resulting Numbers: [71]
71,18 unequal: No Solution
Exploring Operation: 82+11=93, Resulting Numbers: [93]
93,18 unequal: No Solution
No 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: 18:[88, 74], Operations: ['96/12=8', '82-8=74']
Exploring Operation: 88-74=14, Resulting Numbers: [14]
14,18 unequal: No Solution
Exploring Operation: 88+74=162, Resulting Numbers: [162]
162,18 unequal: No Solution
Exploring Operation: 88*74=6512, Resulting Numbers: [6512]
6512,18 unequal: No Solution
No 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: 18:[82, 80], Operations: ['96/12=8', '88-8=80']
Exploring Operation: 82-80=2, Resulting Numbers: [2]
2,18 unequal: No Solution
Exploring Operation: 82*80=6560, Resulting Numbers: [6560]
6560,18 unequal: No Solution
Exploring Operation: 82+80=162, Resulting Numbers: [162]
162,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,3
Current State: 18:[6, 8], Operations: ['88-82=6', '96/12=8']
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,18 unequal: No Solution
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,18 unequal: No Solution
Exploring Operation: 6+8=14, Resulting Numbers: [14]
14,18 unequal: No Solution
Moving to Node #0,1,0
Current State: 18:[12, 16], Operations: ['88-82=6', '96/6=16']
Exploring Operation: 12+16=28, Resulting Numbers: [28]
28,18 unequal: No Solution
Exploring Operation: 12*16=192, Resulting Numbers: [192]
192,18 unequal: No Solution
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,18 unequal: No Solution
Moving to Node #0,3,0
Current State: 18:[8, 70], Operations: ['96-88=8', '82-12=70']
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,18 unequal: No Solution
Exploring Operation: 8*70=560, Resulting Numbers: [560]
560,18 unequal: No Solution
Exploring Operation: 8+70=78, Resulting Numbers: [78]
78,18 unequal: No Solution
Moving to Node #0,3,3
Current State: 18:[12, 74], Operations: ['96-88=8', '82-8=74']
Exploring Operation: 12+74=86, Resulting Numbers: [86]
86,18 unequal: No Solution
Exploring Operation: 12*74=888, Resulting Numbers: [888]
888,18 unequal: No Solution
Exploring Operation: 74-12=62, Resulting Numbers: [62]
62,18 unequal: No Solution
Moving to Node #0,3,1
Current State: 18:[82, 4], Operations: ['96-88=8', '12-8=4']
Exploring Operation: 82*4=328, Resulting Numbers: [328]
328,18 unequal: No Solution
Exploring Operation: 82-4=78, Resulting Numbers: [78]
78,18 unequal: No Solution
Exploring Operation: 82+4=86, Resulting Numbers: [86]
86,18 unequal: No Solution
Moving to Node #0,1,2
Current State: 18:[6, 84], Operations: ['88-82=6', '96-12=84']
Exploring Operation: 6*84=504, Resulting Numbers: [504]
504,18 unequal: No Solution
Exploring Operation: 6+84=90, Resulting Numbers: [90]
90,18 unequal: No Solution
Exploring Operation: 84-6=78, Resulting Numbers: [78]
78,18 unequal: No Solution
Exploring Operation: 84/6=14, Resulting Numbers: [14]
14,18 unequal: No Solution
Moving to Node #0,3,2
Current State: 18:[82, 20], Operations: ['96-88=8', '12+8=20']
Exploring Operation: 82*20=1640, Resulting Numbers: [1640]
1640,18 unequal: No Solution
Exploring Operation: 82-20=62, Resulting Numbers: [62]
62,18 unequal: No Solution
Exploring Operation: 82+20=102, Resulting Numbers: [102]
102,18 unequal: No Solution
Moving to Node #0,1,1
Current State: 18:[12, 90], Operations: ['88-82=6', '96-6=90']
Exploring Operation: 12+90=102, Resulting Numbers: [102]
102,18 unequal: No Solution
Exploring Operation: 90-12=78, Resulting Numbers: [78]
78,18 unequal: No Solution
Exploring Operation: 12*90=1080, Resulting Numbers: [1080]
1080,18 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
5,
94,
16,
78
] | 37 | [
"5+94=99",
"78-16=62",
"99-62=37"
] | Current State: 37:[5, 94, 16, 78], Operations: []
Exploring Operation: 5+94=99, Resulting Numbers: [16, 78, 99]
Generated Node #2: [16, 78, 99] from Operation: 5+94=99
Current State: 37:[16, 78, 99], Operations: ['5+94=99']
Exploring Operation: 78-16=62, Resulting Numbers: [99, 62]
Generated Node #3: [99, 62] from Operation: 78-16=62
Current State: 37:[99, 62], Operations: ['5+94=99', '78-16=62']
Exploring Operation: 99-62=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[5, 94, 16, 78], Operations: []
Exploring Operation: 5+16=21, Resulting Numbers: [94, 78, 21]
Generated Node #0,0: 37:[94, 78, 21] Operation: 5+16=21
Exploring Operation: 94-5=89, Resulting Numbers: [16, 78, 89]
Generated Node #0,1: 37:[16, 78, 89] Operation: 94-5=89
Exploring Operation: 94-78=16, Resulting Numbers: [5, 16, 16]
Generated Node #0,2: 37:[5, 16, 16] Operation: 94-78=16
Exploring Operation: 78-5=73, Resulting Numbers: [94, 16, 73]
Generated Node #0,3: 37:[94, 16, 73] Operation: 78-5=73
Moving to Node #0,2
Current State: 37:[5, 16, 16], Operations: ['94-78=16']
Exploring Operation: 5+16=21, Resulting Numbers: [16, 21]
Generated Node #0,2,0: 37:[16, 21] Operation: 5+16=21
Exploring Operation: 5+16=21, Resulting Numbers: [16, 21]
Generated Node #0,2,1: 37:[16, 21] Operation: 5+16=21
Exploring Operation: 16+16=32, Resulting Numbers: [5, 32]
Generated Node #0,2,2: 37:[5, 32] Operation: 16+16=32
Exploring Operation: 16-5=11, Resulting Numbers: [16, 11]
Generated Node #0,2,3: 37:[16, 11] Operation: 16-5=11
Moving to Node #0,1
Current State: 37:[16, 78, 89], Operations: ['94-5=89']
Exploring Operation: 16+78=94, Resulting Numbers: [89, 94]
Generated Node #0,1,0: 37:[89, 94] Operation: 16+78=94
Exploring Operation: 89-78=11, Resulting Numbers: [16, 11]
Generated Node #0,1,1: 37:[16, 11] Operation: 89-78=11
Exploring Operation: 89-16=73, Resulting Numbers: [78, 73]
Generated Node #0,1,2: 37:[78, 73] Operation: 89-16=73
Exploring Operation: 78-16=62, Resulting Numbers: [89, 62]
Generated Node #0,1,3: 37:[89, 62] Operation: 78-16=62
Moving to Node #0,0
Current State: 37:[94, 78, 21], Operations: ['5+16=21']
Exploring Operation: 78-21=57, Resulting Numbers: [94, 57]
Generated Node #0,0,0: 37:[94, 57] Operation: 78-21=57
Exploring Operation: 94-78=16, Resulting Numbers: [21, 16]
Generated Node #0,0,1: 37:[21, 16] Operation: 94-78=16
Exploring Operation: 94-21=73, Resulting Numbers: [78, 73]
Generated Node #0,0,2: 37:[78, 73] Operation: 94-21=73
Exploring Operation: 94+21=115, Resulting Numbers: [78, 115]
Generated Node #0,0,3: 37:[78, 115] Operation: 94+21=115
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 37:[21, 16], Operations: ['5+16=21', '94-78=16']
Exploring Operation: 21*16=336, Resulting Numbers: [336]
336,37 unequal: No Solution
Exploring Operation: 21+16=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[5, 94, 16, 78], Operations: []
Exploring Operation: 5+16=21, Resulting Numbers: [94, 78, 21]
Generated Node #0,0: 37:[94, 78, 21] Operation: 5+16=21
Moving to Node #0,0
Current State: 37:[94, 78, 21], Operations: ['5+16=21']
Exploring Operation: 94-78=16, Resulting Numbers: [21, 16]
Generated Node #0,0,1: 37:[21, 16] Operation: 94-78=16
Moving to Node #0,0,1
Current State: 37:[21, 16], Operations: ['5+16=21', '94-78=16']
Exploring Operation: 21+16=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_4 | mult_heuristic |
[
33,
60,
30,
60
] | 33 | [
"60-60=0",
"30*0=0",
"33+0=33"
] | Current State: 33:[33, 60, 30, 60], Operations: []
Exploring Operation: 60-60=0, Resulting Numbers: [33, 30, 0]
Generated Node #2: [33, 30, 0] from Operation: 60-60=0
Current State: 33:[33, 30, 0], Operations: ['60-60=0']
Exploring Operation: 30*0=0, Resulting Numbers: [33, 0]
Generated Node #3: [33, 0] from Operation: 30*0=0
Current State: 33:[33, 0], Operations: ['60-60=0', '30*0=0']
Exploring Operation: 33+0=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[33, 60, 30, 60], Operations: []
Exploring Operation: 60/60=1, Resulting Numbers: [33, 30, 1]
Generated Node #0,0: 33:[33, 30, 1] Operation: 60/60=1
Exploring Operation: 60/30=2, Resulting Numbers: [33, 60, 2]
Generated Node #0,1: 33:[33, 60, 2] Operation: 60/30=2
Exploring Operation: 60-60=0, Resulting Numbers: [33, 30, 0]
Generated Node #0,2: 33:[33, 30, 0] Operation: 60-60=0
Moving to Node #0,0
Current State: 33:[33, 30, 1], Operations: ['60/60=1']
Exploring Operation: 33*1=33, Resulting Numbers: [30, 33]
Generated Node #0,0,0: 33:[30, 33] Operation: 33*1=33
Exploring Operation: 30+1=31, Resulting Numbers: [33, 31]
Generated Node #0,0,1: 33:[33, 31] Operation: 30+1=31
Exploring Operation: 33-30=3, Resulting Numbers: [1, 3]
Generated Node #0,0,2: 33:[1, 3] Operation: 33-30=3
Moving to Node #0,2
Current State: 33:[33, 30, 0], Operations: ['60-60=0']
Exploring Operation: 33-0=33, Resulting Numbers: [30, 33]
Generated Node #0,2,0: 33:[30, 33] Operation: 33-0=33
Exploring Operation: 33+0=33, Resulting Numbers: [30, 33]
Generated Node #0,2,1: 33:[30, 33] Operation: 33+0=33
Exploring Operation: 33-30=3, Resulting Numbers: [0, 3]
Generated Node #0,2,2: 33:[0, 3] Operation: 33-30=3
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 33:[30, 33], Operations: ['60-60=0', '33-0=33']
Exploring Operation: 30*33=990, Resulting Numbers: [990]
990,33 unequal: No Solution
Exploring Operation: 33-30=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Exploring Operation: 30+33=63, Resulting Numbers: [63]
63,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 33:[30, 33], Operations: ['60-60=0', '33+0=33']
Exploring Operation: 30+33=63, Resulting Numbers: [63]
63,33 unequal: No Solution
Exploring Operation: 33-30=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Exploring Operation: 30*33=990, Resulting Numbers: [990]
990,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 33:[0, 3], Operations: ['60-60=0', '33-30=3']
Exploring Operation: 0*3=0, Resulting Numbers: [0]
0,33 unequal: No Solution
Exploring Operation: 3-0=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Exploring Operation: 0+3=3, Resulting Numbers: [3]
3,33 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: 33:[33, 60, 2], Operations: ['60/30=2']
Exploring Operation: 60/2=30, Resulting Numbers: [33, 30]
Generated Node #0,1,0: 33:[33, 30] Operation: 60/2=30
Exploring Operation: 60-2=58, Resulting Numbers: [33, 58]
Generated Node #0,1,1: 33:[33, 58] Operation: 60-2=58
Exploring Operation: 60-33=27, Resulting Numbers: [2, 27]
Generated Node #0,1,2: 33:[2, 27] Operation: 60-33=27
Moving to Node #0,0,1
Current State: 33:[33, 31], Operations: ['60/60=1', '30+1=31']
Exploring Operation: 33*31=1023, Resulting Numbers: [1023]
1023,33 unequal: No Solution
Exploring Operation: 33+31=64, Resulting Numbers: [64]
64,33 unequal: No Solution
Exploring Operation: 33-31=2, Resulting Numbers: [2]
2,33 unequal: No Solution
Moving to Node #0,0,2
Current State: 33:[1, 3], Operations: ['60/60=1', '33-30=3']
Exploring Operation: 1*3=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Exploring Operation: 1+3=4, Resulting Numbers: [4]
4,33 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Moving to Node #0,0,0
Current State: 33:[30, 33], Operations: ['60/60=1', '33*1=33']
Exploring Operation: 33-30=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Exploring Operation: 30+33=63, Resulting Numbers: [63]
63,33 unequal: No Solution
Exploring Operation: 30*33=990, Resulting Numbers: [990]
990,33 unequal: No Solution
Moving to Node #0,1,0
Current State: 33:[33, 30], Operations: ['60/30=2', '60/2=30']
Exploring Operation: 33-30=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Exploring Operation: 33*30=990, Resulting Numbers: [990]
990,33 unequal: No Solution
Exploring Operation: 33+30=63, Resulting Numbers: [63]
63,33 unequal: No Solution
Moving to Node #0,1,2
Current State: 33:[2, 27], Operations: ['60/30=2', '60-33=27']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,33 unequal: No Solution
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,33 unequal: No Solution
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,33 unequal: No Solution
Moving to Node #0,1,1
Current State: 33:[33, 58], Operations: ['60/30=2', '60-2=58']
Exploring Operation: 58-33=25, Resulting Numbers: [25]
25,33 unequal: No Solution
Exploring Operation: 33*58=1914, Resulting Numbers: [1914]
1914,33 unequal: No Solution
Exploring Operation: 33+58=91, Resulting Numbers: [91]
91,33 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
50,
72,
70,
76
] | 28 | [
"72-50=22",
"76-70=6",
"22+6=28"
] | Current State: 28:[50, 72, 70, 76], Operations: []
Exploring Operation: 72-50=22, Resulting Numbers: [70, 76, 22]
Generated Node #2: [70, 76, 22] from Operation: 72-50=22
Current State: 28:[70, 76, 22], Operations: ['72-50=22']
Exploring Operation: 76-70=6, Resulting Numbers: [22, 6]
Generated Node #3: [22, 6] from Operation: 76-70=6
Current State: 28:[22, 6], Operations: ['72-50=22', '76-70=6']
Exploring Operation: 22+6=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[50, 72, 70, 76], Operations: []
Exploring Operation: 76-72=4, Resulting Numbers: [50, 70, 4]
Generated Node #0,0: 28:[50, 70, 4] Operation: 76-72=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[50, 70, 4], Operations: ['76-72=4']
Exploring Operation: 70-50=20, Resulting Numbers: [4, 20]
Generated Node #0,0,0: 28:[4, 20] Operation: 70-50=20
Moving to Node #0,0,0
Current State: 28:[4, 20], Operations: ['76-72=4', '70-50=20']
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,28 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 |
[
16,
48,
93,
57
] | 68 | [
"48-16=32",
"93-57=36",
"32+36=68"
] | Current State: 68:[16, 48, 93, 57], Operations: []
Exploring Operation: 48-16=32, Resulting Numbers: [93, 57, 32]
Generated Node #2: [93, 57, 32] from Operation: 48-16=32
Current State: 68:[93, 57, 32], Operations: ['48-16=32']
Exploring Operation: 93-57=36, Resulting Numbers: [32, 36]
Generated Node #3: [32, 36] from Operation: 93-57=36
Current State: 68:[32, 36], Operations: ['48-16=32', '93-57=36']
Exploring Operation: 32+36=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[16, 48, 93, 57], Operations: []
Exploring Operation: 93-48=45, Resulting Numbers: [16, 57, 45]
Generated Node #0,0: 68:[16, 57, 45] Operation: 93-48=45
Exploring Operation: 48/16=3, Resulting Numbers: [93, 57, 3]
Generated Node #0,1: 68:[93, 57, 3] Operation: 48/16=3
Exploring Operation: 57-48=9, Resulting Numbers: [16, 93, 9]
Generated Node #0,2: 68:[16, 93, 9] Operation: 57-48=9
Exploring Operation: 93-16=77, Resulting Numbers: [48, 57, 77]
Generated Node #0,3: 68:[48, 57, 77] Operation: 93-16=77
Exploring Operation: 93-57=36, Resulting Numbers: [16, 48, 36]
Generated Node #0,4: 68:[16, 48, 36] Operation: 93-57=36
Moving to Node #0,4
Current State: 68:[16, 48, 36], Operations: ['93-57=36']
Exploring Operation: 36-16=20, Resulting Numbers: [48, 20]
Generated Node #0,4,0: 68:[48, 20] Operation: 36-16=20
Exploring Operation: 48-36=12, Resulting Numbers: [16, 12]
Generated Node #0,4,1: 68:[16, 12] Operation: 48-36=12
Exploring Operation: 48/16=3, Resulting Numbers: [36, 3]
Generated Node #0,4,2: 68:[36, 3] Operation: 48/16=3
Exploring Operation: 16+48=64, Resulting Numbers: [36, 64]
Generated Node #0,4,3: 68:[36, 64] Operation: 16+48=64
Exploring Operation: 48-16=32, Resulting Numbers: [36, 32]
Generated Node #0,4,4: 68:[36, 32] Operation: 48-16=32
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 68:[36, 3], Operations: ['93-57=36', '48/16=3']
Exploring Operation: 36*3=108, Resulting Numbers: [108]
108,68 unequal: No Solution
Exploring Operation: 36+3=39, Resulting Numbers: [39]
39,68 unequal: No Solution
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,68 unequal: No Solution
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,68 unequal: No Solution
No 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: 68:[36, 32], Operations: ['93-57=36', '48-16=32']
Exploring Operation: 36*32=1152, Resulting Numbers: [1152]
1152,68 unequal: No Solution
Exploring Operation: 36+32=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[16, 48, 93, 57], Operations: []
Exploring Operation: 93-57=36, Resulting Numbers: [16, 48, 36]
Generated Node #0,4: 68:[16, 48, 36] Operation: 93-57=36
Moving to Node #0,4
Current State: 68:[16, 48, 36], Operations: ['93-57=36']
Exploring Operation: 48-16=32, Resulting Numbers: [36, 32]
Generated Node #0,4,4: 68:[36, 32] Operation: 48-16=32
Moving to Node #0,4,4
Current State: 68:[36, 32], Operations: ['93-57=36', '48-16=32']
Exploring Operation: 36+32=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | mult_heuristic |
[
98,
2,
73,
48
] | 46 | [
"98-73=25",
"48-25=23",
"2*23=46"
] | Current State: 46:[98, 2, 73, 48], Operations: []
Exploring Operation: 98-73=25, Resulting Numbers: [2, 48, 25]
Generated Node #2: [2, 48, 25] from Operation: 98-73=25
Current State: 46:[2, 48, 25], Operations: ['98-73=25']
Exploring Operation: 48-25=23, Resulting Numbers: [2, 23]
Generated Node #3: [2, 23] from Operation: 48-25=23
Current State: 46:[2, 23], Operations: ['98-73=25', '48-25=23']
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[98, 2, 73, 48], Operations: []
Exploring Operation: 98/2=49, Resulting Numbers: [73, 48, 49]
Generated Node #0,0: 46:[73, 48, 49] Operation: 98/2=49
Exploring Operation: 98-73=25, Resulting Numbers: [2, 48, 25]
Generated Node #0,1: 46:[2, 48, 25] Operation: 98-73=25
Exploring Operation: 98-48=50, Resulting Numbers: [2, 73, 50]
Generated Node #0,2: 46:[2, 73, 50] Operation: 98-48=50
Start Sub Search at level 1: Moving to Node #0,1
Current State: 46:[2, 48, 25], Operations: ['98-73=25']
Exploring Operation: 25-2=23, Resulting Numbers: [48, 23]
Generated Node #0,1,0: 46:[48, 23] Operation: 25-2=23
Exploring Operation: 48-25=23, Resulting Numbers: [2, 23]
Generated Node #0,1,1: 46:[2, 23] Operation: 48-25=23
Exploring Operation: 48-2=46, Resulting Numbers: [25, 46]
Generated Node #0,1,2: 46:[25, 46] Operation: 48-2=46
Moving to Node #0,1,1
Current State: 46:[2, 23], Operations: ['98-73=25', '48-25=23']
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[98, 2, 73, 48], Operations: []
Exploring Operation: 98-73=25, Resulting Numbers: [2, 48, 25]
Generated Node #0,1: 46:[2, 48, 25] Operation: 98-73=25
Moving to Node #0,1
Current State: 46:[2, 48, 25], Operations: ['98-73=25']
Exploring Operation: 48-25=23, Resulting Numbers: [2, 23]
Generated Node #0,1,1: 46:[2, 23] Operation: 48-25=23
Moving to Node #0,1,1
Current State: 46:[2, 23], Operations: ['98-73=25', '48-25=23']
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
37,
48,
99,
98
] | 89 | [
"48-37=11",
"99/11=9",
"98-9=89"
] | Current State: 89:[37, 48, 99, 98], Operations: []
Exploring Operation: 48-37=11, Resulting Numbers: [99, 98, 11]
Generated Node #2: [99, 98, 11] from Operation: 48-37=11
Current State: 89:[99, 98, 11], Operations: ['48-37=11']
Exploring Operation: 99/11=9, Resulting Numbers: [98, 9]
Generated Node #3: [98, 9] from Operation: 99/11=9
Current State: 89:[98, 9], Operations: ['48-37=11', '99/11=9']
Exploring Operation: 98-9=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[37, 48, 99, 98], Operations: []
Exploring Operation: 37+48=85, Resulting Numbers: [99, 98, 85]
Generated Node #0,0: 89:[99, 98, 85] Operation: 37+48=85
Exploring Operation: 99-37=62, Resulting Numbers: [48, 98, 62]
Generated Node #0,1: 89:[48, 98, 62] Operation: 99-37=62
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[99, 98, 85], Operations: ['37+48=85']
Exploring Operation: 98-85=13, Resulting Numbers: [99, 13]
Generated Node #0,0,0: 89:[99, 13] Operation: 98-85=13
Exploring Operation: 99-85=14, Resulting Numbers: [98, 14]
Generated Node #0,0,1: 89:[98, 14] Operation: 99-85=14
Moving to Node #0,0,1
Current State: 89:[98, 14], Operations: ['37+48=85', '99-85=14']
Exploring Operation: 98-14=84, Resulting Numbers: [84]
84,89 unequal: No Solution
Exploring Operation: 98+14=112, Resulting Numbers: [112]
112,89 unequal: No Solution
Moving to Node #0,0,0
Current State: 89:[99, 13], Operations: ['37+48=85', '98-85=13']
Exploring Operation: 99+13=112, Resulting Numbers: [112]
112,89 unequal: No Solution
Exploring Operation: 99-13=86, Resulting Numbers: [86]
86,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 89:[48, 98, 62], Operations: ['99-37=62']
Exploring Operation: 48+62=110, Resulting Numbers: [98, 110]
Generated Node #0,1,0: 89:[98, 110] Operation: 48+62=110
Exploring Operation: 98-48=50, Resulting Numbers: [62, 50]
Generated Node #0,1,1: 89:[62, 50] Operation: 98-48=50
Moving to Node #0,1,0
Current State: 89:[98, 110], Operations: ['99-37=62', '48+62=110']
Exploring Operation: 110-98=12, Resulting Numbers: [12]
12,89 unequal: No Solution
Exploring Operation: 98+110=208, Resulting Numbers: [208]
208,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[62, 50], Operations: ['99-37=62', '98-48=50']
Exploring Operation: 62+50=112, Resulting Numbers: [112]
112,89 unequal: No Solution
Exploring Operation: 62-50=12, Resulting Numbers: [12]
12,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
61,
28,
2,
85
] | 93 | [
"61+28=89",
"2*89=178",
"178-85=93"
] | Current State: 93:[61, 28, 2, 85], Operations: []
Exploring Operation: 61+28=89, Resulting Numbers: [2, 85, 89]
Generated Node #2: [2, 85, 89] from Operation: 61+28=89
Current State: 93:[2, 85, 89], Operations: ['61+28=89']
Exploring Operation: 2*89=178, Resulting Numbers: [85, 178]
Generated Node #3: [85, 178] from Operation: 2*89=178
Current State: 93:[85, 178], Operations: ['61+28=89', '2*89=178']
Exploring Operation: 178-85=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[61, 28, 2, 85], Operations: []
Exploring Operation: 85-61=24, Resulting Numbers: [28, 2, 24]
Generated Node #0,0: 93:[28, 2, 24] Operation: 85-61=24
Exploring Operation: 61+28=89, Resulting Numbers: [2, 85, 89]
Generated Node #0,1: 93:[2, 85, 89] Operation: 61+28=89
Exploring Operation: 61-28=33, Resulting Numbers: [2, 85, 33]
Generated Node #0,2: 93:[2, 85, 33] Operation: 61-28=33
Moving to Node #0,0
Current State: 93:[28, 2, 24], Operations: ['85-61=24']
Exploring Operation: 28-24=4, Resulting Numbers: [2, 4]
Generated Node #0,0,0: 93:[2, 4] Operation: 28-24=4
Exploring Operation: 28+2=30, Resulting Numbers: [24, 30]
Generated Node #0,0,1: 93:[24, 30] Operation: 28+2=30
Exploring Operation: 2+24=26, Resulting Numbers: [28, 26]
Generated Node #0,0,2: 93:[28, 26] Operation: 2+24=26
Moving to Node #0,2
Current State: 93:[2, 85, 33], Operations: ['61-28=33']
Exploring Operation: 2+85=87, Resulting Numbers: [33, 87]
Generated Node #0,2,0: 93:[33, 87] Operation: 2+85=87
Exploring Operation: 85-2=83, Resulting Numbers: [33, 83]
Generated Node #0,2,1: 93:[33, 83] Operation: 85-2=83
Exploring Operation: 33-2=31, Resulting Numbers: [85, 31]
Generated Node #0,2,2: 93:[85, 31] Operation: 33-2=31
Moving to Node #0,1
Current State: 93:[2, 85, 89], Operations: ['61+28=89']
Exploring Operation: 2+89=91, Resulting Numbers: [85, 91]
Generated Node #0,1,0: 93:[85, 91] Operation: 2+89=91
Exploring Operation: 2+85=87, Resulting Numbers: [89, 87]
Generated Node #0,1,1: 93:[89, 87] Operation: 2+85=87
Exploring Operation: 89-85=4, Resulting Numbers: [2, 4]
Generated Node #0,1,2: 93:[2, 4] Operation: 89-85=4
Moving to Node #0,0,0
Current State: 93:[2, 4], Operations: ['85-61=24', '28-24=4']
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Moving to Node #0,1,2
Current State: 93:[2, 4], Operations: ['61+28=89', '89-85=4']
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Moving to Node #0,0,2
Current State: 93:[28, 26], Operations: ['85-61=24', '2+24=26']
Exploring Operation: 28-26=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 28*26=728, Resulting Numbers: [728]
728,93 unequal: No Solution
Exploring Operation: 28+26=54, Resulting Numbers: [54]
54,93 unequal: No Solution
Moving to Node #0,0,1
Current State: 93:[24, 30], Operations: ['85-61=24', '28+2=30']
Exploring Operation: 30-24=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Exploring Operation: 24*30=720, Resulting Numbers: [720]
720,93 unequal: No Solution
Exploring Operation: 24+30=54, Resulting Numbers: [54]
54,93 unequal: No Solution
Moving to Node #0,2,2
Current State: 93:[85, 31], Operations: ['61-28=33', '33-2=31']
Exploring Operation: 85+31=116, Resulting Numbers: [116]
116,93 unequal: No Solution
Exploring Operation: 85-31=54, Resulting Numbers: [54]
54,93 unequal: No Solution
Exploring Operation: 85*31=2635, Resulting Numbers: [2635]
2635,93 unequal: No Solution
Moving to Node #0,2,0
Current State: 93:[33, 87], Operations: ['61-28=33', '2+85=87']
Exploring Operation: 33+87=120, Resulting Numbers: [120]
120,93 unequal: No Solution
Exploring Operation: 33*87=2871, Resulting Numbers: [2871]
2871,93 unequal: No Solution
Exploring Operation: 87-33=54, Resulting Numbers: [54]
54,93 unequal: No Solution
Moving to Node #0,1,1
Current State: 93:[89, 87], Operations: ['61+28=89', '2+85=87']
Exploring Operation: 89*87=7743, Resulting Numbers: [7743]
7743,93 unequal: No Solution
Exploring Operation: 89-87=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 89+87=176, Resulting Numbers: [176]
176,93 unequal: No Solution
Moving to Node #0,1,0
Current State: 93:[85, 91], Operations: ['61+28=89', '2+89=91']
Exploring Operation: 91-85=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Exploring Operation: 85*91=7735, Resulting Numbers: [7735]
7735,93 unequal: No Solution
Exploring Operation: 85+91=176, Resulting Numbers: [176]
176,93 unequal: No Solution
Moving to Node #0,2,1
Current State: 93:[33, 83], Operations: ['61-28=33', '85-2=83']
Exploring Operation: 83-33=50, Resulting Numbers: [50]
50,93 unequal: No Solution
Exploring Operation: 33+83=116, Resulting Numbers: [116]
116,93 unequal: No Solution
Exploring Operation: 33*83=2739, Resulting Numbers: [2739]
2739,93 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
40,
75,
28,
45
] | 43 | [
"45-40=5",
"75/5=15",
"28+15=43"
] | Current State: 43:[40, 75, 28, 45], Operations: []
Exploring Operation: 45-40=5, Resulting Numbers: [75, 28, 5]
Generated Node #2: [75, 28, 5] from Operation: 45-40=5
Current State: 43:[75, 28, 5], Operations: ['45-40=5']
Exploring Operation: 75/5=15, Resulting Numbers: [28, 15]
Generated Node #3: [28, 15] from Operation: 75/5=15
Current State: 43:[28, 15], Operations: ['45-40=5', '75/5=15']
Exploring Operation: 28+15=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[40, 75, 28, 45], Operations: []
Exploring Operation: 75-28=47, Resulting Numbers: [40, 45, 47]
Generated Node #0,0: 43:[40, 45, 47] Operation: 75-28=47
Exploring Operation: 75-40=35, Resulting Numbers: [28, 45, 35]
Generated Node #0,1: 43:[28, 45, 35] Operation: 75-40=35
Moving to Node #0,0
Current State: 43:[40, 45, 47], Operations: ['75-28=47']
Exploring Operation: 47-40=7, Resulting Numbers: [45, 7]
Generated Node #0,0,0: 43:[45, 7] Operation: 47-40=7
Exploring Operation: 45-40=5, Resulting Numbers: [47, 5]
Generated Node #0,0,1: 43:[47, 5] Operation: 45-40=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 43:[45, 7], Operations: ['75-28=47', '47-40=7']
Exploring Operation: 45+7=52, Resulting Numbers: [52]
52,43 unequal: No Solution
Exploring Operation: 45-7=38, Resulting Numbers: [38]
38,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 43:[47, 5], Operations: ['75-28=47', '45-40=5']
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,43 unequal: No Solution
Exploring Operation: 47+5=52, Resulting Numbers: [52]
52,43 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: 43:[28, 45, 35], Operations: ['75-40=35']
Exploring Operation: 45-28=17, Resulting Numbers: [35, 17]
Generated Node #0,1,0: 43:[35, 17] Operation: 45-28=17
Exploring Operation: 28+35=63, Resulting Numbers: [45, 63]
Generated Node #0,1,1: 43:[45, 63] Operation: 28+35=63
Moving to Node #0,1,1
Current State: 43:[45, 63], Operations: ['75-40=35', '28+35=63']
Exploring Operation: 45+63=108, Resulting Numbers: [108]
108,43 unequal: No Solution
Exploring Operation: 63-45=18, Resulting Numbers: [18]
18,43 unequal: No Solution
Moving to Node #0,1,0
Current State: 43:[35, 17], Operations: ['75-40=35', '45-28=17']
Exploring Operation: 35-17=18, Resulting Numbers: [18]
18,43 unequal: No Solution
Exploring Operation: 35+17=52, Resulting Numbers: [52]
52,43 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
26,
62,
24,
69
] | 100 | [
"26-24=2",
"62/2=31",
"69+31=100"
] | Current State: 100:[26, 62, 24, 69], Operations: []
Exploring Operation: 26-24=2, Resulting Numbers: [62, 69, 2]
Generated Node #2: [62, 69, 2] from Operation: 26-24=2
Current State: 100:[62, 69, 2], Operations: ['26-24=2']
Exploring Operation: 62/2=31, Resulting Numbers: [69, 31]
Generated Node #3: [69, 31] from Operation: 62/2=31
Current State: 100:[69, 31], Operations: ['26-24=2', '62/2=31']
Exploring Operation: 69+31=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[26, 62, 24, 69], Operations: []
Exploring Operation: 26+69=95, Resulting Numbers: [62, 24, 95]
Generated Node #0,0: 100:[62, 24, 95] Operation: 26+69=95
Exploring Operation: 69-24=45, Resulting Numbers: [26, 62, 45]
Generated Node #0,1: 100:[26, 62, 45] Operation: 69-24=45
Exploring Operation: 69-26=43, Resulting Numbers: [62, 24, 43]
Generated Node #0,2: 100:[62, 24, 43] Operation: 69-26=43
Exploring Operation: 24+69=93, Resulting Numbers: [26, 62, 93]
Generated Node #0,3: 100:[26, 62, 93] Operation: 24+69=93
Exploring Operation: 69-62=7, Resulting Numbers: [26, 24, 7]
Generated Node #0,4: 100:[26, 24, 7] Operation: 69-62=7
Moving to Node #0,4
Current State: 100:[26, 24, 7], Operations: ['69-62=7']
Exploring Operation: 26-7=19, Resulting Numbers: [24, 19]
Generated Node #0,4,0: 100:[24, 19] Operation: 26-7=19
Exploring Operation: 26-24=2, Resulting Numbers: [7, 2]
Generated Node #0,4,1: 100:[7, 2] Operation: 26-24=2
Exploring Operation: 24+7=31, Resulting Numbers: [26, 31]
Generated Node #0,4,2: 100:[26, 31] Operation: 24+7=31
Exploring Operation: 26+24=50, Resulting Numbers: [7, 50]
Generated Node #0,4,3: 100:[7, 50] Operation: 26+24=50
Exploring Operation: 24-7=17, Resulting Numbers: [26, 17]
Generated Node #0,4,4: 100:[26, 17] Operation: 24-7=17
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 100:[24, 19], Operations: ['69-62=7', '26-7=19']
Exploring Operation: 24*19=456, Resulting Numbers: [456]
456,100 unequal: No Solution
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,100 unequal: No Solution
Exploring Operation: 24+19=43, Resulting Numbers: [43]
43,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 100:[7, 2], Operations: ['69-62=7', '26-24=2']
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,100 unequal: No Solution
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,100 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 100:[7, 50], Operations: ['69-62=7', '26+24=50']
Exploring Operation: 7+50=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Exploring Operation: 50-7=43, Resulting Numbers: [43]
43,100 unequal: No Solution
Exploring Operation: 7*50=350, Resulting Numbers: [350]
350,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 100:[26, 17], Operations: ['69-62=7', '24-7=17']
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,100 unequal: No Solution
Exploring Operation: 26*17=442, Resulting Numbers: [442]
442,100 unequal: No Solution
Exploring Operation: 26+17=43, Resulting Numbers: [43]
43,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 100:[26, 31], Operations: ['69-62=7', '24+7=31']
Exploring Operation: 31-26=5, Resulting Numbers: [5]
5,100 unequal: No Solution
Exploring Operation: 26*31=806, Resulting Numbers: [806]
806,100 unequal: No Solution
Exploring Operation: 26+31=57, Resulting Numbers: [57]
57,100 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: 100:[26, 62, 45], Operations: ['69-24=45']
Exploring Operation: 62-26=36, Resulting Numbers: [45, 36]
Generated Node #0,1,0: 100:[45, 36] Operation: 62-26=36
Exploring Operation: 26+62=88, Resulting Numbers: [45, 88]
Generated Node #0,1,1: 100:[45, 88] Operation: 26+62=88
Exploring Operation: 62-45=17, Resulting Numbers: [26, 17]
Generated Node #0,1,2: 100:[26, 17] Operation: 62-45=17
Exploring Operation: 45-26=19, Resulting Numbers: [62, 19]
Generated Node #0,1,3: 100:[62, 19] Operation: 45-26=19
Exploring Operation: 62+45=107, Resulting Numbers: [26, 107]
Generated Node #0,1,4: 100:[26, 107] Operation: 62+45=107
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 100:[26, 17], Operations: ['69-24=45', '62-45=17']
Exploring Operation: 26+17=43, Resulting Numbers: [43]
43,100 unequal: No Solution
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,100 unequal: No Solution
Exploring Operation: 26*17=442, Resulting Numbers: [442]
442,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 100:[26, 107], Operations: ['69-24=45', '62+45=107']
Exploring Operation: 26*107=2782, Resulting Numbers: [2782]
2782,100 unequal: No Solution
Exploring Operation: 26+107=133, Resulting Numbers: [133]
133,100 unequal: No Solution
Exploring Operation: 107-26=81, Resulting Numbers: [81]
81,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 100:[62, 19], Operations: ['69-24=45', '45-26=19']
Exploring Operation: 62*19=1178, Resulting Numbers: [1178]
1178,100 unequal: No Solution
Exploring Operation: 62-19=43, Resulting Numbers: [43]
43,100 unequal: No Solution
Exploring Operation: 62+19=81, Resulting Numbers: [81]
81,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 100:[45, 36], Operations: ['69-24=45', '62-26=36']
Exploring Operation: 45*36=1620, Resulting Numbers: [1620]
1620,100 unequal: No Solution
Exploring Operation: 45-36=9, Resulting Numbers: [9]
9,100 unequal: No Solution
Exploring Operation: 45+36=81, Resulting Numbers: [81]
81,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 100:[45, 88], Operations: ['69-24=45', '26+62=88']
Exploring Operation: 88-45=43, Resulting Numbers: [43]
43,100 unequal: No Solution
Exploring Operation: 45*88=3960, Resulting Numbers: [3960]
3960,100 unequal: No Solution
Exploring Operation: 45+88=133, Resulting Numbers: [133]
133,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 100:[62, 24, 95], Operations: ['26+69=95']
Exploring Operation: 95-62=33, Resulting Numbers: [24, 33]
Generated Node #0,0,0: 100:[24, 33] Operation: 95-62=33
Exploring Operation: 62+24=86, Resulting Numbers: [95, 86]
Generated Node #0,0,1: 100:[95, 86] Operation: 62+24=86
Exploring Operation: 24+95=119, Resulting Numbers: [62, 119]
Generated Node #0,0,2: 100:[62, 119] Operation: 24+95=119
Exploring Operation: 62-24=38, Resulting Numbers: [95, 38]
Generated Node #0,0,3: 100:[95, 38] Operation: 62-24=38
Exploring Operation: 95-24=71, Resulting Numbers: [62, 71]
Generated Node #0,0,4: 100:[62, 71] Operation: 95-24=71
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 100:[24, 33], Operations: ['26+69=95', '95-62=33']
Exploring Operation: 24*33=792, Resulting Numbers: [792]
792,100 unequal: No Solution
Exploring Operation: 24+33=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Exploring Operation: 33-24=9, Resulting Numbers: [9]
9,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 100:[95, 38], Operations: ['26+69=95', '62-24=38']
Exploring Operation: 95*38=3610, Resulting Numbers: [3610]
3610,100 unequal: No Solution
Exploring Operation: 95+38=133, Resulting Numbers: [133]
133,100 unequal: No Solution
Exploring Operation: 95-38=57, Resulting Numbers: [57]
57,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 100:[95, 86], Operations: ['26+69=95', '62+24=86']
Exploring Operation: 95*86=8170, Resulting Numbers: [8170]
8170,100 unequal: No Solution
Exploring Operation: 95-86=9, Resulting Numbers: [9]
9,100 unequal: No Solution
Exploring Operation: 95+86=181, Resulting Numbers: [181]
181,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 100:[62, 119], Operations: ['26+69=95', '24+95=119']
Exploring Operation: 62*119=7378, Resulting Numbers: [7378]
7378,100 unequal: No Solution
Exploring Operation: 119-62=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Exploring Operation: 62+119=181, Resulting Numbers: [181]
181,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 100:[62, 71], Operations: ['26+69=95', '95-24=71']
Exploring Operation: 62+71=133, Resulting Numbers: [133]
133,100 unequal: No Solution
Exploring Operation: 71-62=9, Resulting Numbers: [9]
9,100 unequal: No Solution
Exploring Operation: 62*71=4402, Resulting Numbers: [4402]
4402,100 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: 100:[62, 24, 43], Operations: ['69-26=43']
Exploring Operation: 62+43=105, Resulting Numbers: [24, 105]
Generated Node #0,2,0: 100:[24, 105] Operation: 62+43=105
Exploring Operation: 62+24=86, Resulting Numbers: [43, 86]
Generated Node #0,2,1: 100:[43, 86] Operation: 62+24=86
Exploring Operation: 43-24=19, Resulting Numbers: [62, 19]
Generated Node #0,2,2: 100:[62, 19] Operation: 43-24=19
Exploring Operation: 62-43=19, Resulting Numbers: [24, 19]
Generated Node #0,2,3: 100:[24, 19] Operation: 62-43=19
Exploring Operation: 62-24=38, Resulting Numbers: [43, 38]
Generated Node #0,2,4: 100:[43, 38] Operation: 62-24=38
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 100:[24, 19], Operations: ['69-26=43', '62-43=19']
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,100 unequal: No Solution
Exploring Operation: 24+19=43, Resulting Numbers: [43]
43,100 unequal: No Solution
Exploring Operation: 24*19=456, Resulting Numbers: [456]
456,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 100:[24, 105], Operations: ['69-26=43', '62+43=105']
Exploring Operation: 105-24=81, Resulting Numbers: [81]
81,100 unequal: No Solution
Exploring Operation: 24*105=2520, Resulting Numbers: [2520]
2520,100 unequal: No Solution
Exploring Operation: 24+105=129, Resulting Numbers: [129]
129,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 100:[62, 19], Operations: ['69-26=43', '43-24=19']
Exploring Operation: 62-19=43, Resulting Numbers: [43]
43,100 unequal: No Solution
Exploring Operation: 62*19=1178, Resulting Numbers: [1178]
1178,100 unequal: No Solution
Exploring Operation: 62+19=81, Resulting Numbers: [81]
81,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 100:[43, 38], Operations: ['69-26=43', '62-24=38']
Exploring Operation: 43*38=1634, Resulting Numbers: [1634]
1634,100 unequal: No Solution
Exploring Operation: 43-38=5, Resulting Numbers: [5]
5,100 unequal: No Solution
Exploring Operation: 43+38=81, Resulting Numbers: [81]
81,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 100:[43, 86], Operations: ['69-26=43', '62+24=86']
Exploring Operation: 86-43=43, Resulting Numbers: [43]
43,100 unequal: No Solution
Exploring Operation: 86/43=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Exploring Operation: 43*86=3698, Resulting Numbers: [3698]
3698,100 unequal: No Solution
Exploring Operation: 43+86=129, Resulting Numbers: [129]
129,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 100:[26, 62, 93], Operations: ['24+69=93']
Exploring Operation: 93-62=31, Resulting Numbers: [26, 31]
Generated Node #0,3,0: 100:[26, 31] Operation: 93-62=31
Exploring Operation: 93-26=67, Resulting Numbers: [62, 67]
Generated Node #0,3,1: 100:[62, 67] Operation: 93-26=67
Exploring Operation: 26+93=119, Resulting Numbers: [62, 119]
Generated Node #0,3,2: 100:[62, 119] Operation: 26+93=119
Exploring Operation: 26+62=88, Resulting Numbers: [93, 88]
Generated Node #0,3,3: 100:[93, 88] Operation: 26+62=88
Exploring Operation: 62-26=36, Resulting Numbers: [93, 36]
Generated Node #0,3,4: 100:[93, 36] Operation: 62-26=36
Moving to Node #0,3,0
Current State: 100:[26, 31], Operations: ['24+69=93', '93-62=31']
Exploring Operation: 26*31=806, Resulting Numbers: [806]
806,100 unequal: No Solution
Exploring Operation: 26+31=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Exploring Operation: 31-26=5, Resulting Numbers: [5]
5,100 unequal: No Solution
Moving to Node #0,3,4
Current State: 100:[93, 36], Operations: ['24+69=93', '62-26=36']
Exploring Operation: 93*36=3348, Resulting Numbers: [3348]
3348,100 unequal: No Solution
Exploring Operation: 93+36=129, Resulting Numbers: [129]
129,100 unequal: No Solution
Exploring Operation: 93-36=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Moving to Node #0,3,3
Current State: 100:[93, 88], Operations: ['24+69=93', '26+62=88']
Exploring Operation: 93*88=8184, Resulting Numbers: [8184]
8184,100 unequal: No Solution
Exploring Operation: 93-88=5, Resulting Numbers: [5]
5,100 unequal: No Solution
Exploring Operation: 93+88=181, Resulting Numbers: [181]
181,100 unequal: No Solution
Moving to Node #0,3,1
Current State: 100:[62, 67], Operations: ['24+69=93', '93-26=67']
Exploring Operation: 62+67=129, Resulting Numbers: [129]
129,100 unequal: No Solution
Exploring Operation: 67-62=5, Resulting Numbers: [5]
5,100 unequal: No Solution
Exploring Operation: 62*67=4154, Resulting Numbers: [4154]
4154,100 unequal: No Solution
Moving to Node #0,3,2
Current State: 100:[62, 119], Operations: ['24+69=93', '26+93=119']
Exploring Operation: 62+119=181, Resulting Numbers: [181]
181,100 unequal: No Solution
Exploring Operation: 119-62=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Exploring Operation: 62*119=7378, Resulting Numbers: [7378]
7378,100 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
58,
85,
69,
44
] | 81 | [
"69-58=11",
"44/11=4",
"85-4=81"
] | Current State: 81:[58, 85, 69, 44], Operations: []
Exploring Operation: 69-58=11, Resulting Numbers: [85, 44, 11]
Generated Node #2: [85, 44, 11] from Operation: 69-58=11
Current State: 81:[85, 44, 11], Operations: ['69-58=11']
Exploring Operation: 44/11=4, Resulting Numbers: [85, 4]
Generated Node #3: [85, 4] from Operation: 44/11=4
Current State: 81:[85, 4], Operations: ['69-58=11', '44/11=4']
Exploring Operation: 85-4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[58, 85, 69, 44], Operations: []
Exploring Operation: 58-44=14, Resulting Numbers: [85, 69, 14]
Generated Node #0,0: 81:[85, 69, 14] Operation: 58-44=14
Exploring Operation: 69-58=11, Resulting Numbers: [85, 44, 11]
Generated Node #0,1: 81:[85, 44, 11] Operation: 69-58=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[85, 69, 14], Operations: ['58-44=14']
Exploring Operation: 69+14=83, Resulting Numbers: [85, 83]
Generated Node #0,0,0: 81:[85, 83] Operation: 69+14=83
Exploring Operation: 85-69=16, Resulting Numbers: [14, 16]
Generated Node #0,0,1: 81:[14, 16] Operation: 85-69=16
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 81:[85, 83], Operations: ['58-44=14', '69+14=83']
Exploring Operation: 85-83=2, Resulting Numbers: [2]
2,81 unequal: No Solution
Exploring Operation: 85+83=168, Resulting Numbers: [168]
168,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 81:[14, 16], Operations: ['58-44=14', '85-69=16']
Exploring Operation: 16-14=2, Resulting Numbers: [2]
2,81 unequal: No Solution
Exploring Operation: 14+16=30, Resulting Numbers: [30]
30,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 81:[85, 44, 11], Operations: ['69-58=11']
Exploring Operation: 44/11=4, Resulting Numbers: [85, 4]
Generated Node #0,1,0: 81:[85, 4] Operation: 44/11=4
Exploring Operation: 44-11=33, Resulting Numbers: [85, 33]
Generated Node #0,1,1: 81:[85, 33] Operation: 44-11=33
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 81:[85, 4], Operations: ['69-58=11', '44/11=4']
Exploring Operation: 85+4=89, Resulting Numbers: [89]
89,81 unequal: No Solution
Exploring Operation: 85-4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[58, 85, 69, 44], Operations: []
Exploring Operation: 69-58=11, Resulting Numbers: [85, 44, 11]
Generated Node #0,1: 81:[85, 44, 11] Operation: 69-58=11
Moving to Node #0,1
Current State: 81:[85, 44, 11], Operations: ['69-58=11']
Exploring Operation: 44/11=4, Resulting Numbers: [85, 4]
Generated Node #0,1,0: 81:[85, 4] Operation: 44/11=4
Moving to Node #0,1,0
Current State: 81:[85, 4], Operations: ['69-58=11', '44/11=4']
Exploring Operation: 85-4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_2 | mult_heuristic |
[
34,
64,
58,
36
] | 70 | [
"36-34=2",
"64*2=128",
"128-58=70"
] | Current State: 70:[34, 64, 58, 36], Operations: []
Exploring Operation: 36-34=2, Resulting Numbers: [64, 58, 2]
Generated Node #2: [64, 58, 2] from Operation: 36-34=2
Current State: 70:[64, 58, 2], Operations: ['36-34=2']
Exploring Operation: 64*2=128, Resulting Numbers: [58, 128]
Generated Node #3: [58, 128] from Operation: 64*2=128
Current State: 70:[58, 128], Operations: ['36-34=2', '64*2=128']
Exploring Operation: 128-58=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[34, 64, 58, 36], Operations: []
Exploring Operation: 64-58=6, Resulting Numbers: [34, 36, 6]
Generated Node #0,0: 70:[34, 36, 6] Operation: 64-58=6
Exploring Operation: 58-34=24, Resulting Numbers: [64, 36, 24]
Generated Node #0,1: 70:[64, 36, 24] Operation: 58-34=24
Exploring Operation: 58-36=22, Resulting Numbers: [34, 64, 22]
Generated Node #0,2: 70:[34, 64, 22] Operation: 58-36=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[34, 36, 6], Operations: ['64-58=6']
Exploring Operation: 36-34=2, Resulting Numbers: [6, 2]
Generated Node #0,0,0: 70:[6, 2] Operation: 36-34=2
Exploring Operation: 36/6=6, Resulting Numbers: [34, 6]
Generated Node #0,0,1: 70:[34, 6] Operation: 36/6=6
Exploring Operation: 34+36=70, Resulting Numbers: [6, 70]
Generated Node #0,0,2: 70:[6, 70] Operation: 34+36=70
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 70:[6, 2], Operations: ['64-58=6', '36-34=2']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,70 unequal: No Solution
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,70 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,70 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 #0,0,2
Current State: 70:[6, 70], Operations: ['64-58=6', '34+36=70']
Exploring Operation: 6+70=76, Resulting Numbers: [76]
76,70 unequal: No Solution
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,70 unequal: No Solution
Exploring Operation: 6*70=420, Resulting Numbers: [420]
420,70 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 #0,0,1
Current State: 70:[34, 6], Operations: ['64-58=6', '36/6=6']
Exploring Operation: 34+6=40, Resulting Numbers: [40]
40,70 unequal: No Solution
Exploring Operation: 34*6=204, Resulting Numbers: [204]
204,70 unequal: No Solution
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 70:[34, 64, 22], Operations: ['58-36=22']
Exploring Operation: 34-22=12, Resulting Numbers: [64, 12]
Generated Node #0,2,0: 70:[64, 12] Operation: 34-22=12
Exploring Operation: 64-34=30, Resulting Numbers: [22, 30]
Generated Node #0,2,1: 70:[22, 30] Operation: 64-34=30
Exploring Operation: 64-22=42, Resulting Numbers: [34, 42]
Generated Node #0,2,2: 70:[34, 42] Operation: 64-22=42
Moving to Node #0,2,0
Current State: 70:[64, 12], Operations: ['58-36=22', '34-22=12']
Exploring Operation: 64-12=52, Resulting Numbers: [52]
52,70 unequal: No Solution
Exploring Operation: 64*12=768, Resulting Numbers: [768]
768,70 unequal: No Solution
Exploring Operation: 64+12=76, Resulting Numbers: [76]
76,70 unequal: No Solution
Moving to Node #0,2,2
Current State: 70:[34, 42], Operations: ['58-36=22', '64-22=42']
Exploring Operation: 34*42=1428, Resulting Numbers: [1428]
1428,70 unequal: No Solution
Exploring Operation: 42-34=8, Resulting Numbers: [8]
8,70 unequal: No Solution
Exploring Operation: 34+42=76, Resulting Numbers: [76]
76,70 unequal: No Solution
Moving to Node #0,2,1
Current State: 70:[22, 30], Operations: ['58-36=22', '64-34=30']
Exploring Operation: 22*30=660, Resulting Numbers: [660]
660,70 unequal: No Solution
Exploring Operation: 22+30=52, Resulting Numbers: [52]
52,70 unequal: No Solution
Exploring Operation: 30-22=8, Resulting Numbers: [8]
8,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 70:[64, 36, 24], Operations: ['58-34=24']
Exploring Operation: 64-24=40, Resulting Numbers: [36, 40]
Generated Node #0,1,0: 70:[36, 40] Operation: 64-24=40
Exploring Operation: 36-24=12, Resulting Numbers: [64, 12]
Generated Node #0,1,1: 70:[64, 12] Operation: 36-24=12
Exploring Operation: 36+24=60, Resulting Numbers: [64, 60]
Generated Node #0,1,2: 70:[64, 60] Operation: 36+24=60
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 70:[36, 40], Operations: ['58-34=24', '64-24=40']
Exploring Operation: 36+40=76, Resulting Numbers: [76]
76,70 unequal: No Solution
Exploring Operation: 40-36=4, Resulting Numbers: [4]
4,70 unequal: No Solution
Exploring Operation: 36*40=1440, Resulting Numbers: [1440]
1440,70 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:[64, 12], Operations: ['58-34=24', '36-24=12']
Exploring Operation: 64+12=76, Resulting Numbers: [76]
76,70 unequal: No Solution
Exploring Operation: 64*12=768, Resulting Numbers: [768]
768,70 unequal: No Solution
Exploring Operation: 64-12=52, Resulting Numbers: [52]
52,70 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 #0,1,2
Current State: 70:[64, 60], Operations: ['58-34=24', '36+24=60']
Exploring Operation: 64*60=3840, Resulting Numbers: [3840]
3840,70 unequal: No Solution
Exploring Operation: 64+60=124, Resulting Numbers: [124]
124,70 unequal: No Solution
Exploring Operation: 64-60=4, Resulting Numbers: [4]
4,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
80,
20,
6,
73
] | 97 | [
"80/20=4",
"6*4=24",
"73+24=97"
] | Current State: 97:[80, 20, 6, 73], Operations: []
Exploring Operation: 80/20=4, Resulting Numbers: [6, 73, 4]
Generated Node #2: [6, 73, 4] from Operation: 80/20=4
Current State: 97:[6, 73, 4], Operations: ['80/20=4']
Exploring Operation: 6*4=24, Resulting Numbers: [73, 24]
Generated Node #3: [73, 24] from Operation: 6*4=24
Current State: 97:[73, 24], Operations: ['80/20=4', '6*4=24']
Exploring Operation: 73+24=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[80, 20, 6, 73], Operations: []
Exploring Operation: 20*6=120, Resulting Numbers: [80, 73, 120]
Generated Node #0,0: 97:[80, 73, 120] Operation: 20*6=120
Exploring Operation: 20+6=26, Resulting Numbers: [80, 73, 26]
Generated Node #0,1: 97:[80, 73, 26] Operation: 20+6=26
Exploring Operation: 80+6=86, Resulting Numbers: [20, 73, 86]
Generated Node #0,2: 97:[20, 73, 86] Operation: 80+6=86
Moving to Node #0,0
Current State: 97:[80, 73, 120], Operations: ['20*6=120']
Exploring Operation: 120-73=47, Resulting Numbers: [80, 47]
Generated Node #0,0,0: 97:[80, 47] Operation: 120-73=47
Exploring Operation: 80+73=153, Resulting Numbers: [120, 153]
Generated Node #0,0,1: 97:[120, 153] Operation: 80+73=153
Exploring Operation: 120-80=40, Resulting Numbers: [73, 40]
Generated Node #0,0,2: 97:[73, 40] Operation: 120-80=40
Moving to Node #0,1
Current State: 97:[80, 73, 26], Operations: ['20+6=26']
Exploring Operation: 73+26=99, Resulting Numbers: [80, 99]
Generated Node #0,1,0: 97:[80, 99] Operation: 73+26=99
Exploring Operation: 80-26=54, Resulting Numbers: [73, 54]
Generated Node #0,1,1: 97:[73, 54] Operation: 80-26=54
Exploring Operation: 80+26=106, Resulting Numbers: [73, 106]
Generated Node #0,1,2: 97:[73, 106] Operation: 80+26=106
Moving to Node #0,2
Current State: 97:[20, 73, 86], Operations: ['80+6=86']
Exploring Operation: 20+73=93, Resulting Numbers: [86, 93]
Generated Node #0,2,0: 97:[86, 93] Operation: 20+73=93
Exploring Operation: 73-20=53, Resulting Numbers: [86, 53]
Generated Node #0,2,1: 97:[86, 53] Operation: 73-20=53
Exploring Operation: 20+86=106, Resulting Numbers: [73, 106]
Generated Node #0,2,2: 97:[73, 106] Operation: 20+86=106
Moving to Node #0,2,0
Current State: 97:[86, 93], Operations: ['80+6=86', '20+73=93']
Exploring Operation: 86*93=7998, Resulting Numbers: [7998]
7998,97 unequal: No Solution
Exploring Operation: 86+93=179, Resulting Numbers: [179]
179,97 unequal: No Solution
Exploring Operation: 93-86=7, Resulting Numbers: [7]
7,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[80, 99], Operations: ['20+6=26', '73+26=99']
Exploring Operation: 99-80=19, Resulting Numbers: [19]
19,97 unequal: No Solution
Exploring Operation: 80*99=7920, Resulting Numbers: [7920]
7920,97 unequal: No Solution
Exploring Operation: 80+99=179, Resulting Numbers: [179]
179,97 unequal: No Solution
Moving to Node #0,1,2
Current State: 97:[73, 106], Operations: ['20+6=26', '80+26=106']
Exploring Operation: 73*106=7738, Resulting Numbers: [7738]
7738,97 unequal: No Solution
Exploring Operation: 106-73=33, Resulting Numbers: [33]
33,97 unequal: No Solution
Exploring Operation: 73+106=179, Resulting Numbers: [179]
179,97 unequal: No Solution
Moving to Node #0,2,2
Current State: 97:[73, 106], Operations: ['80+6=86', '20+86=106']
Exploring Operation: 73+106=179, Resulting Numbers: [179]
179,97 unequal: No Solution
Exploring Operation: 106-73=33, Resulting Numbers: [33]
33,97 unequal: No Solution
Exploring Operation: 73*106=7738, Resulting Numbers: [7738]
7738,97 unequal: No Solution
Moving to Node #0,2,1
Current State: 97:[86, 53], Operations: ['80+6=86', '73-20=53']
Exploring Operation: 86*53=4558, Resulting Numbers: [4558]
4558,97 unequal: No Solution
Exploring Operation: 86+53=139, Resulting Numbers: [139]
139,97 unequal: No Solution
Exploring Operation: 86-53=33, Resulting Numbers: [33]
33,97 unequal: No Solution
Moving to Node #0,0,0
Current State: 97:[80, 47], Operations: ['20*6=120', '120-73=47']
Exploring Operation: 80+47=127, Resulting Numbers: [127]
127,97 unequal: No Solution
Exploring Operation: 80*47=3760, Resulting Numbers: [3760]
3760,97 unequal: No Solution
Exploring Operation: 80-47=33, Resulting Numbers: [33]
33,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[73, 54], Operations: ['20+6=26', '80-26=54']
Exploring Operation: 73*54=3942, Resulting Numbers: [3942]
3942,97 unequal: No Solution
Exploring Operation: 73+54=127, Resulting Numbers: [127]
127,97 unequal: No Solution
Exploring Operation: 73-54=19, Resulting Numbers: [19]
19,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[120, 153], Operations: ['20*6=120', '80+73=153']
Exploring Operation: 120+153=273, Resulting Numbers: [273]
273,97 unequal: No Solution
Exploring Operation: 153-120=33, Resulting Numbers: [33]
33,97 unequal: No Solution
Exploring Operation: 120*153=18360, Resulting Numbers: [18360]
18360,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[73, 40], Operations: ['20*6=120', '120-80=40']
Exploring Operation: 73+40=113, Resulting Numbers: [113]
113,97 unequal: No Solution
Exploring Operation: 73*40=2920, Resulting Numbers: [2920]
2920,97 unequal: No Solution
Exploring Operation: 73-40=33, Resulting Numbers: [33]
33,97 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
66,
76,
99,
96
] | 68 | [
"99*96=9504",
"9504/66=144",
"144-76=68"
] | Current State: 68:[66, 76, 99, 96], Operations: []
Exploring Operation: 99*96=9504, Resulting Numbers: [66, 76, 9504]
Generated Node #2: [66, 76, 9504] from Operation: 99*96=9504
Current State: 68:[66, 76, 9504], Operations: ['99*96=9504']
Exploring Operation: 9504/66=144, Resulting Numbers: [76, 144]
Generated Node #3: [76, 144] from Operation: 9504/66=144
Current State: 68:[76, 144], Operations: ['99*96=9504', '9504/66=144']
Exploring Operation: 144-76=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[66, 76, 99, 96], Operations: []
Exploring Operation: 99-76=23, Resulting Numbers: [66, 96, 23]
Generated Node #0,0: 68:[66, 96, 23] Operation: 99-76=23
Exploring Operation: 99-96=3, Resulting Numbers: [66, 76, 3]
Generated Node #0,1: 68:[66, 76, 3] Operation: 99-96=3
Exploring Operation: 99-66=33, Resulting Numbers: [76, 96, 33]
Generated Node #0,2: 68:[76, 96, 33] Operation: 99-66=33
Exploring Operation: 96-76=20, Resulting Numbers: [66, 99, 20]
Generated Node #0,3: 68:[66, 99, 20] Operation: 96-76=20
Start Sub Search at level 1: Moving to Node #0,1
Current State: 68:[66, 76, 3], Operations: ['99-96=3']
Exploring Operation: 76-3=73, Resulting Numbers: [66, 73]
Generated Node #0,1,0: 68:[66, 73] Operation: 76-3=73
Exploring Operation: 76-66=10, Resulting Numbers: [3, 10]
Generated Node #0,1,1: 68:[3, 10] Operation: 76-66=10
Exploring Operation: 66+3=69, Resulting Numbers: [76, 69]
Generated Node #0,1,2: 68:[76, 69] Operation: 66+3=69
Exploring Operation: 66-3=63, Resulting Numbers: [76, 63]
Generated Node #0,1,3: 68:[76, 63] Operation: 66-3=63
Moving to Node #0,1,0
Current State: 68:[66, 73], Operations: ['99-96=3', '76-3=73']
Exploring Operation: 66*73=4818, Resulting Numbers: [4818]
4818,68 unequal: No Solution
Exploring Operation: 73-66=7, Resulting Numbers: [7]
7,68 unequal: No Solution
Exploring Operation: 66+73=139, Resulting Numbers: [139]
139,68 unequal: No Solution
Moving to Node #0,1,1
Current State: 68:[3, 10], Operations: ['99-96=3', '76-66=10']
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,68 unequal: No Solution
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Moving to Node #0,1,2
Current State: 68:[76, 69], Operations: ['99-96=3', '66+3=69']
Exploring Operation: 76*69=5244, Resulting Numbers: [5244]
5244,68 unequal: No Solution
Exploring Operation: 76+69=145, Resulting Numbers: [145]
145,68 unequal: No Solution
Exploring Operation: 76-69=7, Resulting Numbers: [7]
7,68 unequal: No Solution
Moving to Node #0,1,3
Current State: 68:[76, 63], Operations: ['99-96=3', '66-3=63']
Exploring Operation: 76*63=4788, Resulting Numbers: [4788]
4788,68 unequal: No Solution
Exploring Operation: 76-63=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Exploring Operation: 76+63=139, Resulting Numbers: [139]
139,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[66, 96, 23], Operations: ['99-76=23']
Exploring Operation: 96-66=30, Resulting Numbers: [23, 30]
Generated Node #0,0,0: 68:[23, 30] Operation: 96-66=30
Exploring Operation: 66-23=43, Resulting Numbers: [96, 43]
Generated Node #0,0,1: 68:[96, 43] Operation: 66-23=43
Exploring Operation: 96-23=73, Resulting Numbers: [66, 73]
Generated Node #0,0,2: 68:[66, 73] Operation: 96-23=73
Exploring Operation: 66+23=89, Resulting Numbers: [96, 89]
Generated Node #0,0,3: 68:[96, 89] Operation: 66+23=89
Moving to Node #0,0,2
Current State: 68:[66, 73], Operations: ['99-76=23', '96-23=73']
Exploring Operation: 66+73=139, Resulting Numbers: [139]
139,68 unequal: No Solution
Exploring Operation: 73-66=7, Resulting Numbers: [7]
7,68 unequal: No Solution
Exploring Operation: 66*73=4818, Resulting Numbers: [4818]
4818,68 unequal: No Solution
Moving to Node #0,0,0
Current State: 68:[23, 30], Operations: ['99-76=23', '96-66=30']
Exploring Operation: 23*30=690, Resulting Numbers: [690]
690,68 unequal: No Solution
Exploring Operation: 30-23=7, Resulting Numbers: [7]
7,68 unequal: No Solution
Exploring Operation: 23+30=53, Resulting Numbers: [53]
53,68 unequal: No Solution
Moving to Node #0,0,1
Current State: 68:[96, 43], Operations: ['99-76=23', '66-23=43']
Exploring Operation: 96+43=139, Resulting Numbers: [139]
139,68 unequal: No Solution
Exploring Operation: 96*43=4128, Resulting Numbers: [4128]
4128,68 unequal: No Solution
Exploring Operation: 96-43=53, Resulting Numbers: [53]
53,68 unequal: No Solution
Moving to Node #0,0,3
Current State: 68:[96, 89], Operations: ['99-76=23', '66+23=89']
Exploring Operation: 96+89=185, Resulting Numbers: [185]
185,68 unequal: No Solution
Exploring Operation: 96-89=7, Resulting Numbers: [7]
7,68 unequal: No Solution
Exploring Operation: 96*89=8544, Resulting Numbers: [8544]
8544,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 68:[66, 99, 20], Operations: ['96-76=20']
Exploring Operation: 66+20=86, Resulting Numbers: [99, 86]
Generated Node #0,3,0: 68:[99, 86] Operation: 66+20=86
Exploring Operation: 99-66=33, Resulting Numbers: [20, 33]
Generated Node #0,3,1: 68:[20, 33] Operation: 99-66=33
Exploring Operation: 99-20=79, Resulting Numbers: [66, 79]
Generated Node #0,3,2: 68:[66, 79] Operation: 99-20=79
Exploring Operation: 66-20=46, Resulting Numbers: [99, 46]
Generated Node #0,3,3: 68:[99, 46] Operation: 66-20=46
Moving to Node #0,3,1
Current State: 68:[20, 33], Operations: ['96-76=20', '99-66=33']
Exploring Operation: 20+33=53, Resulting Numbers: [53]
53,68 unequal: No Solution
Exploring Operation: 33-20=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Exploring Operation: 20*33=660, Resulting Numbers: [660]
660,68 unequal: No Solution
Moving to Node #0,3,2
Current State: 68:[66, 79], Operations: ['96-76=20', '99-20=79']
Exploring Operation: 79-66=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Exploring Operation: 66*79=5214, Resulting Numbers: [5214]
5214,68 unequal: No Solution
Exploring Operation: 66+79=145, Resulting Numbers: [145]
145,68 unequal: No Solution
Moving to Node #0,3,3
Current State: 68:[99, 46], Operations: ['96-76=20', '66-20=46']
Exploring Operation: 99*46=4554, Resulting Numbers: [4554]
4554,68 unequal: No Solution
Exploring Operation: 99-46=53, Resulting Numbers: [53]
53,68 unequal: No Solution
Exploring Operation: 99+46=145, Resulting Numbers: [145]
145,68 unequal: No Solution
Moving to Node #0,3,0
Current State: 68:[99, 86], Operations: ['96-76=20', '66+20=86']
Exploring Operation: 99-86=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Exploring Operation: 99*86=8514, Resulting Numbers: [8514]
8514,68 unequal: No Solution
Exploring Operation: 99+86=185, Resulting Numbers: [185]
185,68 unequal: No Solution
No 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: 68:[76, 96, 33], Operations: ['99-66=33']
Exploring Operation: 96-33=63, Resulting Numbers: [76, 63]
Generated Node #0,2,0: 68:[76, 63] Operation: 96-33=63
Exploring Operation: 96-76=20, Resulting Numbers: [33, 20]
Generated Node #0,2,1: 68:[33, 20] Operation: 96-76=20
Exploring Operation: 76-33=43, Resulting Numbers: [96, 43]
Generated Node #0,2,2: 68:[96, 43] Operation: 76-33=43
Exploring Operation: 76+33=109, Resulting Numbers: [96, 109]
Generated Node #0,2,3: 68:[96, 109] Operation: 76+33=109
Moving to Node #0,2,1
Current State: 68:[33, 20], Operations: ['99-66=33', '96-76=20']
Exploring Operation: 33+20=53, Resulting Numbers: [53]
53,68 unequal: No Solution
Exploring Operation: 33-20=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Exploring Operation: 33*20=660, Resulting Numbers: [660]
660,68 unequal: No Solution
Moving to Node #0,2,0
Current State: 68:[76, 63], Operations: ['99-66=33', '96-33=63']
Exploring Operation: 76*63=4788, Resulting Numbers: [4788]
4788,68 unequal: No Solution
Exploring Operation: 76+63=139, Resulting Numbers: [139]
139,68 unequal: No Solution
Exploring Operation: 76-63=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Moving to Node #0,2,2
Current State: 68:[96, 43], Operations: ['99-66=33', '76-33=43']
Exploring Operation: 96-43=53, Resulting Numbers: [53]
53,68 unequal: No Solution
Exploring Operation: 96+43=139, Resulting Numbers: [139]
139,68 unequal: No Solution
Exploring Operation: 96*43=4128, Resulting Numbers: [4128]
4128,68 unequal: No Solution
Moving to Node #0,2,3
Current State: 68:[96, 109], Operations: ['99-66=33', '76+33=109']
Exploring Operation: 96*109=10464, Resulting Numbers: [10464]
10464,68 unequal: No Solution
Exploring Operation: 109-96=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Exploring Operation: 96+109=205, Resulting Numbers: [205]
205,68 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 |
[
3,
19,
24,
11
] | 16 | [
"24/3=8",
"19-11=8",
"8+8=16"
] | Current State: 16:[3, 19, 24, 11], Operations: []
Exploring Operation: 24/3=8, Resulting Numbers: [19, 11, 8]
Generated Node #2: [19, 11, 8] from Operation: 24/3=8
Current State: 16:[19, 11, 8], Operations: ['24/3=8']
Exploring Operation: 19-11=8, Resulting Numbers: [8, 8]
Generated Node #3: [8, 8] from Operation: 19-11=8
Current State: 16:[8, 8], Operations: ['24/3=8', '19-11=8']
Exploring Operation: 8+8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[3, 19, 24, 11], Operations: []
Exploring Operation: 24-19=5, Resulting Numbers: [3, 11, 5]
Generated Node #0,0: 16:[3, 11, 5] Operation: 24-19=5
Exploring Operation: 24-11=13, Resulting Numbers: [3, 19, 13]
Generated Node #0,1: 16:[3, 19, 13] Operation: 24-11=13
Exploring Operation: 24/3=8, Resulting Numbers: [19, 11, 8]
Generated Node #0,2: 16:[19, 11, 8] Operation: 24/3=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[3, 11, 5], Operations: ['24-19=5']
Exploring Operation: 11+5=16, Resulting Numbers: [3, 16]
Generated Node #0,0,0: 16:[3, 16] Operation: 11+5=16
Exploring Operation: 3+11=14, Resulting Numbers: [5, 14]
Generated Node #0,0,1: 16:[5, 14] Operation: 3+11=14
Exploring Operation: 11-3=8, Resulting Numbers: [5, 8]
Generated Node #0,0,2: 16:[5, 8] Operation: 11-3=8
Moving to Node #0,0,0
Current State: 16:[3, 16], Operations: ['24-19=5', '11+5=16']
Exploring Operation: 3+16=19, Resulting Numbers: [19]
19,16 unequal: No Solution
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,16 unequal: No Solution
Moving to Node #0,0,2
Current State: 16:[5, 8], Operations: ['24-19=5', '11-3=8']
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,16 unequal: No Solution
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Moving to Node #0,0,1
Current State: 16:[5, 14], Operations: ['24-19=5', '3+11=14']
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,16 unequal: No Solution
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,16 unequal: No Solution
Exploring Operation: 5+14=19, Resulting Numbers: [19]
19,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 16:[19, 11, 8], Operations: ['24/3=8']
Exploring Operation: 11-8=3, Resulting Numbers: [19, 3]
Generated Node #0,2,0: 16:[19, 3] Operation: 11-8=3
Exploring Operation: 19-8=11, Resulting Numbers: [11, 11]
Generated Node #0,2,1: 16:[11, 11] Operation: 19-8=11
Exploring Operation: 19-11=8, Resulting Numbers: [8, 8]
Generated Node #0,2,2: 16:[8, 8] Operation: 19-11=8
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 16:[8, 8], Operations: ['24/3=8', '19-11=8']
Exploring Operation: 8+8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[3, 19, 24, 11], Operations: []
Exploring Operation: 24/3=8, Resulting Numbers: [19, 11, 8]
Generated Node #0,2: 16:[19, 11, 8] Operation: 24/3=8
Moving to Node #0,2
Current State: 16:[19, 11, 8], Operations: ['24/3=8']
Exploring Operation: 19-11=8, Resulting Numbers: [8, 8]
Generated Node #0,2,2: 16:[8, 8] Operation: 19-11=8
Moving to Node #0,2,2
Current State: 16:[8, 8], Operations: ['24/3=8', '19-11=8']
Exploring Operation: 8+8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_3 | sum_heuristic |
[
58,
52,
60,
85
] | 75 | [
"58-52=6",
"60/6=10",
"85-10=75"
] | Current State: 75:[58, 52, 60, 85], Operations: []
Exploring Operation: 58-52=6, Resulting Numbers: [60, 85, 6]
Generated Node #2: [60, 85, 6] from Operation: 58-52=6
Current State: 75:[60, 85, 6], Operations: ['58-52=6']
Exploring Operation: 60/6=10, Resulting Numbers: [85, 10]
Generated Node #3: [85, 10] from Operation: 60/6=10
Current State: 75:[85, 10], Operations: ['58-52=6', '60/6=10']
Exploring Operation: 85-10=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[58, 52, 60, 85], Operations: []
Exploring Operation: 60-52=8, Resulting Numbers: [58, 85, 8]
Generated Node #0,0: 75:[58, 85, 8] Operation: 60-52=8
Exploring Operation: 58-52=6, Resulting Numbers: [60, 85, 6]
Generated Node #0,1: 75:[60, 85, 6] Operation: 58-52=6
Moving to Node #0,1
Current State: 75:[60, 85, 6], Operations: ['58-52=6']
Exploring Operation: 85-60=25, Resulting Numbers: [6, 25]
Generated Node #0,1,0: 75:[6, 25] Operation: 85-60=25
Exploring Operation: 60/6=10, Resulting Numbers: [85, 10]
Generated Node #0,1,1: 75:[85, 10] Operation: 60/6=10
Moving to Node #0,0
Current State: 75:[58, 85, 8], Operations: ['60-52=8']
Exploring Operation: 85-58=27, Resulting Numbers: [8, 27]
Generated Node #0,0,0: 75:[8, 27] Operation: 85-58=27
Exploring Operation: 58+8=66, Resulting Numbers: [85, 66]
Generated Node #0,0,1: 75:[85, 66] Operation: 58+8=66
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 75:[8, 27], Operations: ['60-52=8', '85-58=27']
Exploring Operation: 8+27=35, Resulting Numbers: [35]
35,75 unequal: No Solution
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,75 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 #0,0,1
Current State: 75:[85, 66], Operations: ['60-52=8', '58+8=66']
Exploring Operation: 85-66=19, Resulting Numbers: [19]
19,75 unequal: No Solution
Exploring Operation: 85+66=151, Resulting Numbers: [151]
151,75 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: 75:[6, 25], Operations: ['58-52=6', '85-60=25']
Exploring Operation: 6+25=31, Resulting Numbers: [31]
31,75 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,75 unequal: No Solution
Moving to Node #0,1,1
Current State: 75:[85, 10], Operations: ['58-52=6', '60/6=10']
Exploring Operation: 85+10=95, Resulting Numbers: [95]
95,75 unequal: No Solution
Exploring Operation: 85-10=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[58, 52, 60, 85], Operations: []
Exploring Operation: 58-52=6, Resulting Numbers: [60, 85, 6]
Generated Node #0,1: 75:[60, 85, 6] Operation: 58-52=6
Moving to Node #0,1
Current State: 75:[60, 85, 6], Operations: ['58-52=6']
Exploring Operation: 60/6=10, Resulting Numbers: [85, 10]
Generated Node #0,1,1: 75:[85, 10] Operation: 60/6=10
Moving to Node #0,1,1
Current State: 75:[85, 10], Operations: ['58-52=6', '60/6=10']
Exploring Operation: 85-10=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 0.984375 | hs_2 | sum_heuristic |
[
2,
1,
92,
58
] | 62 | [
"58/2=29",
"92-1=91",
"91-29=62"
] | Current State: 62:[2, 1, 92, 58], Operations: []
Exploring Operation: 58/2=29, Resulting Numbers: [1, 92, 29]
Generated Node #2: [1, 92, 29] from Operation: 58/2=29
Current State: 62:[1, 92, 29], Operations: ['58/2=29']
Exploring Operation: 92-1=91, Resulting Numbers: [29, 91]
Generated Node #3: [29, 91] from Operation: 92-1=91
Current State: 62:[29, 91], Operations: ['58/2=29', '92-1=91']
Exploring Operation: 91-29=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[2, 1, 92, 58], Operations: []
Exploring Operation: 92-2=90, Resulting Numbers: [1, 58, 90]
Generated Node #0,0: 62:[1, 58, 90] Operation: 92-2=90
Exploring Operation: 92/2=46, Resulting Numbers: [1, 58, 46]
Generated Node #0,1: 62:[1, 58, 46] Operation: 92/2=46
Exploring Operation: 2+58=60, Resulting Numbers: [1, 92, 60]
Generated Node #0,2: 62:[1, 92, 60] Operation: 2+58=60
Exploring Operation: 58/2=29, Resulting Numbers: [1, 92, 29]
Generated Node #0,3: 62:[1, 92, 29] Operation: 58/2=29
Exploring Operation: 92-58=34, Resulting Numbers: [2, 1, 34]
Generated Node #0,4: 62:[2, 1, 34] Operation: 92-58=34
Start Sub Search at level 1: Moving to Node #0,4
Current State: 62:[2, 1, 34], Operations: ['92-58=34']
Exploring Operation: 2*1=2, Resulting Numbers: [34, 2]
Generated Node #0,4,0: 62:[34, 2] Operation: 2*1=2
Exploring Operation: 34-2=32, Resulting Numbers: [1, 32]
Generated Node #0,4,1: 62:[1, 32] Operation: 34-2=32
Exploring Operation: 1*34=34, Resulting Numbers: [2, 34]
Generated Node #0,4,2: 62:[2, 34] Operation: 1*34=34
Exploring Operation: 34-1=33, Resulting Numbers: [2, 33]
Generated Node #0,4,3: 62:[2, 33] Operation: 34-1=33
Exploring Operation: 2/1=2, Resulting Numbers: [34, 2]
Generated Node #0,4,4: 62:[34, 2] Operation: 2/1=2
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 62:[1, 32], Operations: ['92-58=34', '34-2=32']
Exploring Operation: 32/1=32, Resulting Numbers: [32]
32,62 unequal: No Solution
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Exploring Operation: 1+32=33, Resulting Numbers: [33]
33,62 unequal: No Solution
Exploring Operation: 1*32=32, Resulting Numbers: [32]
32,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 62:[2, 33], Operations: ['92-58=34', '34-1=33']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,62 unequal: No Solution
Exploring Operation: 2+33=35, Resulting Numbers: [35]
35,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 62:[34, 2], Operations: ['92-58=34', '2*1=2']
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,62 unequal: No Solution
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,62 unequal: No Solution
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,62 unequal: No Solution
Exploring Operation: 34*2=68, Resulting Numbers: [68]
68,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 62:[2, 34], Operations: ['92-58=34', '1*34=34']
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,62 unequal: No Solution
Exploring Operation: 2+34=36, Resulting Numbers: [36]
36,62 unequal: No Solution
Exploring Operation: 2*34=68, Resulting Numbers: [68]
68,62 unequal: No Solution
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 62:[34, 2], Operations: ['92-58=34', '2/1=2']
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,62 unequal: No Solution
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,62 unequal: No Solution
Exploring Operation: 34*2=68, Resulting Numbers: [68]
68,62 unequal: No Solution
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 62:[1, 58, 46], Operations: ['92/2=46']
Exploring Operation: 58-46=12, Resulting Numbers: [1, 12]
Generated Node #0,1,0: 62:[1, 12] Operation: 58-46=12
Exploring Operation: 1+58=59, Resulting Numbers: [46, 59]
Generated Node #0,1,1: 62:[46, 59] Operation: 1+58=59
Exploring Operation: 58/1=58, Resulting Numbers: [46, 58]
Generated Node #0,1,2: 62:[46, 58] Operation: 58/1=58
Exploring Operation: 46-1=45, Resulting Numbers: [58, 45]
Generated Node #0,1,3: 62:[58, 45] Operation: 46-1=45
Exploring Operation: 1*58=58, Resulting Numbers: [46, 58]
Generated Node #0,1,4: 62:[46, 58] Operation: 1*58=58
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 62:[1, 12], Operations: ['92/2=46', '58-46=12']
Exploring Operation: 12/1=12, Resulting Numbers: [12]
12,62 unequal: No Solution
Exploring Operation: 1*12=12, Resulting Numbers: [12]
12,62 unequal: No Solution
Exploring Operation: 1+12=13, Resulting Numbers: [13]
13,62 unequal: No Solution
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 62:[46, 59], Operations: ['92/2=46', '1+58=59']
Exploring Operation: 46+59=105, Resulting Numbers: [105]
105,62 unequal: No Solution
Exploring Operation: 46*59=2714, Resulting Numbers: [2714]
2714,62 unequal: No Solution
Exploring Operation: 59-46=13, Resulting Numbers: [13]
13,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 62:[58, 45], Operations: ['92/2=46', '46-1=45']
Exploring Operation: 58-45=13, Resulting Numbers: [13]
13,62 unequal: No Solution
Exploring Operation: 58*45=2610, Resulting Numbers: [2610]
2610,62 unequal: No Solution
Exploring Operation: 58+45=103, Resulting Numbers: [103]
103,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 62:[46, 58], Operations: ['92/2=46', '58/1=58']
Exploring Operation: 46*58=2668, Resulting Numbers: [2668]
2668,62 unequal: No Solution
Exploring Operation: 46+58=104, Resulting Numbers: [104]
104,62 unequal: No Solution
Exploring Operation: 58-46=12, Resulting Numbers: [12]
12,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 62:[46, 58], Operations: ['92/2=46', '1*58=58']
Exploring Operation: 46+58=104, Resulting Numbers: [104]
104,62 unequal: No Solution
Exploring Operation: 46*58=2668, Resulting Numbers: [2668]
2668,62 unequal: No Solution
Exploring Operation: 58-46=12, Resulting Numbers: [12]
12,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[1, 58, 90], Operations: ['92-2=90']
Exploring Operation: 90-58=32, Resulting Numbers: [1, 32]
Generated Node #0,0,0: 62:[1, 32] Operation: 90-58=32
Exploring Operation: 58/1=58, Resulting Numbers: [90, 58]
Generated Node #0,0,1: 62:[90, 58] Operation: 58/1=58
Exploring Operation: 1+58=59, Resulting Numbers: [90, 59]
Generated Node #0,0,2: 62:[90, 59] Operation: 1+58=59
Exploring Operation: 90-1=89, Resulting Numbers: [58, 89]
Generated Node #0,0,3: 62:[58, 89] Operation: 90-1=89
Exploring Operation: 1*58=58, Resulting Numbers: [90, 58]
Generated Node #0,0,4: 62:[90, 58] Operation: 1*58=58
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 62:[1, 32], Operations: ['92-2=90', '90-58=32']
Exploring Operation: 1*32=32, Resulting Numbers: [32]
32,62 unequal: No Solution
Exploring Operation: 32/1=32, Resulting Numbers: [32]
32,62 unequal: No Solution
Exploring Operation: 1+32=33, Resulting Numbers: [33]
33,62 unequal: No Solution
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 62:[90, 59], Operations: ['92-2=90', '1+58=59']
Exploring Operation: 90+59=149, Resulting Numbers: [149]
149,62 unequal: No Solution
Exploring Operation: 90*59=5310, Resulting Numbers: [5310]
5310,62 unequal: No Solution
Exploring Operation: 90-59=31, Resulting Numbers: [31]
31,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 62:[58, 89], Operations: ['92-2=90', '90-1=89']
Exploring Operation: 89-58=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Exploring Operation: 58+89=147, Resulting Numbers: [147]
147,62 unequal: No Solution
Exploring Operation: 58*89=5162, Resulting Numbers: [5162]
5162,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 62:[90, 58], Operations: ['92-2=90', '58/1=58']
Exploring Operation: 90*58=5220, Resulting Numbers: [5220]
5220,62 unequal: No Solution
Exploring Operation: 90+58=148, Resulting Numbers: [148]
148,62 unequal: No Solution
Exploring Operation: 90-58=32, Resulting Numbers: [32]
32,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 62:[90, 58], Operations: ['92-2=90', '1*58=58']
Exploring Operation: 90*58=5220, Resulting Numbers: [5220]
5220,62 unequal: No Solution
Exploring Operation: 90+58=148, Resulting Numbers: [148]
148,62 unequal: No Solution
Exploring Operation: 90-58=32, Resulting Numbers: [32]
32,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 62:[1, 92, 60], Operations: ['2+58=60']
Exploring Operation: 92-60=32, Resulting Numbers: [1, 32]
Generated Node #0,2,0: 62:[1, 32] Operation: 92-60=32
Exploring Operation: 92/1=92, Resulting Numbers: [60, 92]
Generated Node #0,2,1: 62:[60, 92] Operation: 92/1=92
Exploring Operation: 1*92=92, Resulting Numbers: [60, 92]
Generated Node #0,2,2: 62:[60, 92] Operation: 1*92=92
Exploring Operation: 1+60=61, Resulting Numbers: [92, 61]
Generated Node #0,2,3: 62:[92, 61] Operation: 1+60=61
Exploring Operation: 92-1=91, Resulting Numbers: [60, 91]
Generated Node #0,2,4: 62:[60, 91] Operation: 92-1=91
Moving to Node #0,2,0
Current State: 62:[1, 32], Operations: ['2+58=60', '92-60=32']
Exploring Operation: 32/1=32, Resulting Numbers: [32]
32,62 unequal: No Solution
Exploring Operation: 1+32=33, Resulting Numbers: [33]
33,62 unequal: No Solution
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Exploring Operation: 1*32=32, Resulting Numbers: [32]
32,62 unequal: No Solution
Moving to Node #0,2,4
Current State: 62:[60, 91], Operations: ['2+58=60', '92-1=91']
Exploring Operation: 60+91=151, Resulting Numbers: [151]
151,62 unequal: No Solution
Exploring Operation: 91-60=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Exploring Operation: 60*91=5460, Resulting Numbers: [5460]
5460,62 unequal: No Solution
Moving to Node #0,2,3
Current State: 62:[92, 61], Operations: ['2+58=60', '1+60=61']
Exploring Operation: 92+61=153, Resulting Numbers: [153]
153,62 unequal: No Solution
Exploring Operation: 92-61=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Exploring Operation: 92*61=5612, Resulting Numbers: [5612]
5612,62 unequal: No Solution
Moving to Node #0,2,1
Current State: 62:[60, 92], Operations: ['2+58=60', '92/1=92']
Exploring Operation: 60*92=5520, Resulting Numbers: [5520]
5520,62 unequal: No Solution
Exploring Operation: 92-60=32, Resulting Numbers: [32]
32,62 unequal: No Solution
Exploring Operation: 60+92=152, Resulting Numbers: [152]
152,62 unequal: No Solution
Moving to Node #0,2,2
Current State: 62:[60, 92], Operations: ['2+58=60', '1*92=92']
Exploring Operation: 60+92=152, Resulting Numbers: [152]
152,62 unequal: No Solution
Exploring Operation: 60*92=5520, Resulting Numbers: [5520]
5520,62 unequal: No Solution
Exploring Operation: 92-60=32, Resulting Numbers: [32]
32,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 62:[1, 92, 29], Operations: ['58/2=29']
Exploring Operation: 1*92=92, Resulting Numbers: [29, 92]
Generated Node #0,3,0: 62:[29, 92] Operation: 1*92=92
Exploring Operation: 92-1=91, Resulting Numbers: [29, 91]
Generated Node #0,3,1: 62:[29, 91] Operation: 92-1=91
Exploring Operation: 92/1=92, Resulting Numbers: [29, 92]
Generated Node #0,3,2: 62:[29, 92] Operation: 92/1=92
Exploring Operation: 92-29=63, Resulting Numbers: [1, 63]
Generated Node #0,3,3: 62:[1, 63] Operation: 92-29=63
Exploring Operation: 1+29=30, Resulting Numbers: [92, 30]
Generated Node #0,3,4: 62:[92, 30] Operation: 1+29=30
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 62:[1, 63], Operations: ['58/2=29', '92-29=63']
Exploring Operation: 1+63=64, Resulting Numbers: [64]
64,62 unequal: No Solution
Exploring Operation: 1*63=63, Resulting Numbers: [63]
63,62 unequal: No Solution
Exploring Operation: 63-1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[2, 1, 92, 58], Operations: []
Exploring Operation: 58/2=29, Resulting Numbers: [1, 92, 29]
Generated Node #0,3: 62:[1, 92, 29] Operation: 58/2=29
Moving to Node #0,3
Current State: 62:[1, 92, 29], Operations: ['58/2=29']
Exploring Operation: 92-29=63, Resulting Numbers: [1, 63]
Generated Node #0,3,3: 62:[1, 63] Operation: 92-29=63
Moving to Node #0,3,3
Current State: 62:[1, 63], Operations: ['58/2=29', '92-29=63']
Exploring Operation: 63-1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.909722 | hs_5 | mult_heuristic |
[
92,
32,
64,
23
] | 72 | [
"92/23=4",
"32/4=8",
"64+8=72"
] | Current State: 72:[92, 32, 64, 23], Operations: []
Exploring Operation: 92/23=4, Resulting Numbers: [32, 64, 4]
Generated Node #2: [32, 64, 4] from Operation: 92/23=4
Current State: 72:[32, 64, 4], Operations: ['92/23=4']
Exploring Operation: 32/4=8, Resulting Numbers: [64, 8]
Generated Node #3: [64, 8] from Operation: 32/4=8
Current State: 72:[64, 8], Operations: ['92/23=4', '32/4=8']
Exploring Operation: 64+8=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[92, 32, 64, 23], Operations: []
Exploring Operation: 92-64=28, Resulting Numbers: [32, 23, 28]
Generated Node #0,0: 72:[32, 23, 28] Operation: 92-64=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[32, 23, 28], Operations: ['92-64=28']
Exploring Operation: 32-28=4, Resulting Numbers: [23, 4]
Generated Node #0,0,0: 72:[23, 4] Operation: 32-28=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 72:[23, 4], Operations: ['92-64=28', '32-28=4']
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
15,
6,
58,
4
] | 97 | [
"15+58=73",
"6*4=24",
"73+24=97"
] | Current State: 97:[15, 6, 58, 4], Operations: []
Exploring Operation: 15+58=73, Resulting Numbers: [6, 4, 73]
Generated Node #2: [6, 4, 73] from Operation: 15+58=73
Current State: 97:[6, 4, 73], Operations: ['15+58=73']
Exploring Operation: 6*4=24, Resulting Numbers: [73, 24]
Generated Node #3: [73, 24] from Operation: 6*4=24
Current State: 97:[73, 24], Operations: ['15+58=73', '6*4=24']
Exploring Operation: 73+24=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[15, 6, 58, 4], Operations: []
Exploring Operation: 6*4=24, Resulting Numbers: [15, 58, 24]
Generated Node #0,0: 97:[15, 58, 24] Operation: 6*4=24
Exploring Operation: 15*4=60, Resulting Numbers: [6, 58, 60]
Generated Node #0,1: 97:[6, 58, 60] Operation: 15*4=60
Exploring Operation: 15+6=21, Resulting Numbers: [58, 4, 21]
Generated Node #0,2: 97:[58, 4, 21] Operation: 15+6=21
Exploring Operation: 15*6=90, Resulting Numbers: [58, 4, 90]
Generated Node #0,3: 97:[58, 4, 90] Operation: 15*6=90
Moving to Node #0,3
Current State: 97:[58, 4, 90], Operations: ['15*6=90']
Exploring Operation: 58+4=62, Resulting Numbers: [90, 62]
Generated Node #0,3,0: 97:[90, 62] Operation: 58+4=62
Exploring Operation: 90-4=86, Resulting Numbers: [58, 86]
Generated Node #0,3,1: 97:[58, 86] Operation: 90-4=86
Exploring Operation: 58-4=54, Resulting Numbers: [90, 54]
Generated Node #0,3,2: 97:[90, 54] Operation: 58-4=54
Exploring Operation: 4+90=94, Resulting Numbers: [58, 94]
Generated Node #0,3,3: 97:[58, 94] Operation: 4+90=94
Moving to Node #0,1
Current State: 97:[6, 58, 60], Operations: ['15*4=60']
Exploring Operation: 58-6=52, Resulting Numbers: [60, 52]
Generated Node #0,1,0: 97:[60, 52] Operation: 58-6=52
Exploring Operation: 60-6=54, Resulting Numbers: [58, 54]
Generated Node #0,1,1: 97:[58, 54] Operation: 60-6=54
Exploring Operation: 6+58=64, Resulting Numbers: [60, 64]
Generated Node #0,1,2: 97:[60, 64] Operation: 6+58=64
Exploring Operation: 6+60=66, Resulting Numbers: [58, 66]
Generated Node #0,1,3: 97:[58, 66] Operation: 6+60=66
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 97:[60, 64], Operations: ['15*4=60', '6+58=64']
Exploring Operation: 64-60=4, Resulting Numbers: [4]
4,97 unequal: No Solution
Exploring Operation: 60+64=124, Resulting Numbers: [124]
124,97 unequal: No Solution
Exploring Operation: 60*64=3840, Resulting Numbers: [3840]
3840,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 97:[58, 66], Operations: ['15*4=60', '6+60=66']
Exploring Operation: 58*66=3828, Resulting Numbers: [3828]
3828,97 unequal: No Solution
Exploring Operation: 58+66=124, Resulting Numbers: [124]
124,97 unequal: No Solution
Exploring Operation: 66-58=8, Resulting Numbers: [8]
8,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 97:[60, 52], Operations: ['15*4=60', '58-6=52']
Exploring Operation: 60-52=8, Resulting Numbers: [8]
8,97 unequal: No Solution
Exploring Operation: 60*52=3120, Resulting Numbers: [3120]
3120,97 unequal: No Solution
Exploring Operation: 60+52=112, Resulting Numbers: [112]
112,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 97:[58, 54], Operations: ['15*4=60', '60-6=54']
Exploring Operation: 58-54=4, Resulting Numbers: [4]
4,97 unequal: No Solution
Exploring Operation: 58*54=3132, Resulting Numbers: [3132]
3132,97 unequal: No Solution
Exploring Operation: 58+54=112, Resulting Numbers: [112]
112,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 97:[15, 58, 24], Operations: ['6*4=24']
Exploring Operation: 15+24=39, Resulting Numbers: [58, 39]
Generated Node #0,0,0: 97:[58, 39] Operation: 15+24=39
Exploring Operation: 58+24=82, Resulting Numbers: [15, 82]
Generated Node #0,0,1: 97:[15, 82] Operation: 58+24=82
Exploring Operation: 15+58=73, Resulting Numbers: [24, 73]
Generated Node #0,0,2: 97:[24, 73] Operation: 15+58=73
Exploring Operation: 58-15=43, Resulting Numbers: [24, 43]
Generated Node #0,0,3: 97:[24, 43] Operation: 58-15=43
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 97:[58, 39], Operations: ['6*4=24', '15+24=39']
Exploring Operation: 58-39=19, Resulting Numbers: [19]
19,97 unequal: No Solution
Exploring Operation: 58+39=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[15, 6, 58, 4], Operations: []
Exploring Operation: 6*4=24, Resulting Numbers: [15, 58, 24]
Generated Node #0,0: 97:[15, 58, 24] Operation: 6*4=24
Moving to Node #0,0
Current State: 97:[15, 58, 24], Operations: ['6*4=24']
Exploring Operation: 15+24=39, Resulting Numbers: [58, 39]
Generated Node #0,0,0: 97:[58, 39] Operation: 15+24=39
Moving to Node #0,0,0
Current State: 97:[58, 39], Operations: ['6*4=24', '15+24=39']
Exploring Operation: 58+39=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 1
| 0.970486 | hs_4 | sum_heuristic |
[
92,
75,
42,
2
] | 25 | [
"92-42=50",
"2*50=100",
"100-75=25"
] | Current State: 25:[92, 75, 42, 2], Operations: []
Exploring Operation: 92-42=50, Resulting Numbers: [75, 2, 50]
Generated Node #2: [75, 2, 50] from Operation: 92-42=50
Current State: 25:[75, 2, 50], Operations: ['92-42=50']
Exploring Operation: 2*50=100, Resulting Numbers: [75, 100]
Generated Node #3: [75, 100] from Operation: 2*50=100
Current State: 25:[75, 100], Operations: ['92-42=50', '2*50=100']
Exploring Operation: 100-75=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[92, 75, 42, 2], Operations: []
Exploring Operation: 42/2=21, Resulting Numbers: [92, 75, 21]
Generated Node #0,0: 25:[92, 75, 21] Operation: 42/2=21
Exploring Operation: 92-42=50, Resulting Numbers: [75, 2, 50]
Generated Node #0,1: 25:[75, 2, 50] Operation: 92-42=50
Exploring Operation: 92-75=17, Resulting Numbers: [42, 2, 17]
Generated Node #0,2: 25:[42, 2, 17] Operation: 92-75=17
Exploring Operation: 92/2=46, Resulting Numbers: [75, 42, 46]
Generated Node #0,3: 25:[75, 42, 46] Operation: 92/2=46
Exploring Operation: 75-42=33, Resulting Numbers: [92, 2, 33]
Generated Node #0,4: 25:[92, 2, 33] Operation: 75-42=33
Moving to Node #0,2
Current State: 25:[42, 2, 17], Operations: ['92-75=17']
Exploring Operation: 42-17=25, Resulting Numbers: [2, 25]
Generated Node #0,2,0: 25:[2, 25] Operation: 42-17=25
Exploring Operation: 2+17=19, Resulting Numbers: [42, 19]
Generated Node #0,2,1: 25:[42, 19] Operation: 2+17=19
Exploring Operation: 42/2=21, Resulting Numbers: [17, 21]
Generated Node #0,2,2: 25:[17, 21] Operation: 42/2=21
Exploring Operation: 2*17=34, Resulting Numbers: [42, 34]
Generated Node #0,2,3: 25:[42, 34] Operation: 2*17=34
Exploring Operation: 42-2=40, Resulting Numbers: [17, 40]
Generated Node #0,2,4: 25:[17, 40] Operation: 42-2=40
Moving to Node #0,4
Current State: 25:[92, 2, 33], Operations: ['75-42=33']
Exploring Operation: 92-2=90, Resulting Numbers: [33, 90]
Generated Node #0,4,0: 25:[33, 90] Operation: 92-2=90
Exploring Operation: 92-33=59, Resulting Numbers: [2, 59]
Generated Node #0,4,1: 25:[2, 59] Operation: 92-33=59
Exploring Operation: 33-2=31, Resulting Numbers: [92, 31]
Generated Node #0,4,2: 25:[92, 31] Operation: 33-2=31
Exploring Operation: 92+2=94, Resulting Numbers: [33, 94]
Generated Node #0,4,3: 25:[33, 94] Operation: 92+2=94
Exploring Operation: 92/2=46, Resulting Numbers: [33, 46]
Generated Node #0,4,4: 25:[33, 46] Operation: 92/2=46
Moving to Node #0,1
Current State: 25:[75, 2, 50], Operations: ['92-42=50']
Exploring Operation: 75-2=73, Resulting Numbers: [50, 73]
Generated Node #0,1,0: 25:[50, 73] Operation: 75-2=73
Exploring Operation: 75-50=25, Resulting Numbers: [2, 25]
Generated Node #0,1,1: 25:[2, 25] Operation: 75-50=25
Exploring Operation: 50/2=25, Resulting Numbers: [75, 25]
Generated Node #0,1,2: 25:[75, 25] Operation: 50/2=25
Exploring Operation: 50-2=48, Resulting Numbers: [75, 48]
Generated Node #0,1,3: 25:[75, 48] Operation: 50-2=48
Exploring Operation: 75+2=77, Resulting Numbers: [50, 77]
Generated Node #0,1,4: 25:[50, 77] Operation: 75+2=77
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 25:[2, 25], Operations: ['92-42=50', '75-50=25']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,25 unequal: No Solution
No 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: 25:[75, 25], Operations: ['92-42=50', '50/2=25']
Exploring Operation: 75-25=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Exploring Operation: 75/25=3, Resulting Numbers: [3]
3,25 unequal: No Solution
Exploring Operation: 75+25=100, Resulting Numbers: [100]
100,25 unequal: No Solution
Exploring Operation: 75*25=1875, Resulting Numbers: [1875]
1875,25 unequal: No Solution
No 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: 25:[50, 73], Operations: ['92-42=50', '75-2=73']
Exploring Operation: 50*73=3650, Resulting Numbers: [3650]
3650,25 unequal: No Solution
Exploring Operation: 50+73=123, Resulting Numbers: [123]
123,25 unequal: No Solution
Exploring Operation: 73-50=23, Resulting Numbers: [23]
23,25 unequal: No Solution
No 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: 25:[75, 48], Operations: ['92-42=50', '50-2=48']
Exploring Operation: 75*48=3600, Resulting Numbers: [3600]
3600,25 unequal: No Solution
Exploring Operation: 75-48=27, Resulting Numbers: [27]
27,25 unequal: No Solution
Exploring Operation: 75+48=123, Resulting Numbers: [123]
123,25 unequal: No Solution
No 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: 25:[50, 77], Operations: ['92-42=50', '75+2=77']
Exploring Operation: 50+77=127, Resulting Numbers: [127]
127,25 unequal: No Solution
Exploring Operation: 50*77=3850, Resulting Numbers: [3850]
3850,25 unequal: No Solution
Exploring Operation: 77-50=27, Resulting Numbers: [27]
27,25 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: 25:[75, 42, 46], Operations: ['92/2=46']
Exploring Operation: 46-42=4, Resulting Numbers: [75, 4]
Generated Node #0,3,0: 25:[75, 4] Operation: 46-42=4
Exploring Operation: 75+42=117, Resulting Numbers: [46, 117]
Generated Node #0,3,1: 25:[46, 117] Operation: 75+42=117
Exploring Operation: 75-46=29, Resulting Numbers: [42, 29]
Generated Node #0,3,2: 25:[42, 29] Operation: 75-46=29
Exploring Operation: 75-42=33, Resulting Numbers: [46, 33]
Generated Node #0,3,3: 25:[46, 33] Operation: 75-42=33
Exploring Operation: 75+46=121, Resulting Numbers: [42, 121]
Generated Node #0,3,4: 25:[42, 121] Operation: 75+46=121
Moving to Node #0,0
Current State: 25:[92, 75, 21], Operations: ['42/2=21']
Exploring Operation: 75-21=54, Resulting Numbers: [92, 54]
Generated Node #0,0,0: 25:[92, 54] Operation: 75-21=54
Exploring Operation: 75+21=96, Resulting Numbers: [92, 96]
Generated Node #0,0,1: 25:[92, 96] Operation: 75+21=96
Exploring Operation: 92+21=113, Resulting Numbers: [75, 113]
Generated Node #0,0,2: 25:[75, 113] Operation: 92+21=113
Exploring Operation: 92-21=71, Resulting Numbers: [75, 71]
Generated Node #0,0,3: 25:[75, 71] Operation: 92-21=71
Exploring Operation: 92-75=17, Resulting Numbers: [21, 17]
Generated Node #0,0,4: 25:[21, 17] Operation: 92-75=17
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 25:[21, 17], Operations: ['42/2=21', '92-75=17']
Exploring Operation: 21*17=357, Resulting Numbers: [357]
357,25 unequal: No Solution
Exploring Operation: 21+17=38, Resulting Numbers: [38]
38,25 unequal: No Solution
Exploring Operation: 21-17=4, Resulting Numbers: [4]
4,25 unequal: No Solution
No 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: 25:[92, 54], Operations: ['42/2=21', '75-21=54']
Exploring Operation: 92-54=38, Resulting Numbers: [38]
38,25 unequal: No Solution
Exploring Operation: 92+54=146, Resulting Numbers: [146]
146,25 unequal: No Solution
Exploring Operation: 92*54=4968, Resulting Numbers: [4968]
4968,25 unequal: No Solution
No 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: 25:[75, 71], Operations: ['42/2=21', '92-21=71']
Exploring Operation: 75+71=146, Resulting Numbers: [146]
146,25 unequal: No Solution
Exploring Operation: 75-71=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Exploring Operation: 75*71=5325, Resulting Numbers: [5325]
5325,25 unequal: No Solution
No 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: 25:[92, 96], Operations: ['42/2=21', '75+21=96']
Exploring Operation: 92+96=188, Resulting Numbers: [188]
188,25 unequal: No Solution
Exploring Operation: 96-92=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Exploring Operation: 92*96=8832, Resulting Numbers: [8832]
8832,25 unequal: No Solution
No 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: 25:[75, 113], Operations: ['42/2=21', '92+21=113']
Exploring Operation: 75*113=8475, Resulting Numbers: [8475]
8475,25 unequal: No Solution
Exploring Operation: 75+113=188, Resulting Numbers: [188]
188,25 unequal: No Solution
Exploring Operation: 113-75=38, Resulting Numbers: [38]
38,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 25:[2, 25], Operations: ['92-75=17', '42-17=25']
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,25 unequal: No Solution
Moving to Node #0,2,2
Current State: 25:[17, 21], Operations: ['92-75=17', '42/2=21']
Exploring Operation: 17*21=357, Resulting Numbers: [357]
357,25 unequal: No Solution
Exploring Operation: 21-17=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Exploring Operation: 17+21=38, Resulting Numbers: [38]
38,25 unequal: No Solution
Moving to Node #0,3,2
Current State: 25:[42, 29], Operations: ['92/2=46', '75-46=29']
Exploring Operation: 42+29=71, Resulting Numbers: [71]
71,25 unequal: No Solution
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,25 unequal: No Solution
Exploring Operation: 42*29=1218, Resulting Numbers: [1218]
1218,25 unequal: No Solution
Moving to Node #0,2,1
Current State: 25:[42, 19], Operations: ['92-75=17', '2+17=19']
Exploring Operation: 42-19=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Exploring Operation: 42+19=61, Resulting Numbers: [61]
61,25 unequal: No Solution
Exploring Operation: 42*19=798, Resulting Numbers: [798]
798,25 unequal: No Solution
Moving to Node #0,2,4
Current State: 25:[17, 40], Operations: ['92-75=17', '42-2=40']
Exploring Operation: 40-17=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Exploring Operation: 17*40=680, Resulting Numbers: [680]
680,25 unequal: No Solution
Exploring Operation: 17+40=57, Resulting Numbers: [57]
57,25 unequal: No Solution
Moving to Node #0,2,3
Current State: 25:[42, 34], Operations: ['92-75=17', '2*17=34']
Exploring Operation: 42+34=76, Resulting Numbers: [76]
76,25 unequal: No Solution
Exploring Operation: 42-34=8, Resulting Numbers: [8]
8,25 unequal: No Solution
Exploring Operation: 42*34=1428, Resulting Numbers: [1428]
1428,25 unequal: No Solution
Moving to Node #0,4,4
Current State: 25:[33, 46], Operations: ['75-42=33', '92/2=46']
Exploring Operation: 33+46=79, Resulting Numbers: [79]
79,25 unequal: No Solution
Exploring Operation: 46-33=13, Resulting Numbers: [13]
13,25 unequal: No Solution
Exploring Operation: 33*46=1518, Resulting Numbers: [1518]
1518,25 unequal: No Solution
Moving to Node #0,3,3
Current State: 25:[46, 33], Operations: ['92/2=46', '75-42=33']
Exploring Operation: 46*33=1518, Resulting Numbers: [1518]
1518,25 unequal: No Solution
Exploring Operation: 46+33=79, Resulting Numbers: [79]
79,25 unequal: No Solution
Exploring Operation: 46-33=13, Resulting Numbers: [13]
13,25 unequal: No Solution
Moving to Node #0,4,1
Current State: 25:[2, 59], Operations: ['75-42=33', '92-33=59']
Exploring Operation: 59-2=57, Resulting Numbers: [57]
57,25 unequal: No Solution
Exploring Operation: 2*59=118, Resulting Numbers: [118]
118,25 unequal: No Solution
Exploring Operation: 2+59=61, Resulting Numbers: [61]
61,25 unequal: No Solution
Moving to Node #0,3,0
Current State: 25:[75, 4], Operations: ['92/2=46', '46-42=4']
Exploring Operation: 75-4=71, Resulting Numbers: [71]
71,25 unequal: No Solution
Exploring Operation: 75*4=300, Resulting Numbers: [300]
300,25 unequal: No Solution
Exploring Operation: 75+4=79, Resulting Numbers: [79]
79,25 unequal: No Solution
Moving to Node #0,4,0
Current State: 25:[33, 90], Operations: ['75-42=33', '92-2=90']
Exploring Operation: 33*90=2970, Resulting Numbers: [2970]
2970,25 unequal: No Solution
Exploring Operation: 33+90=123, Resulting Numbers: [123]
123,25 unequal: No Solution
Exploring Operation: 90-33=57, Resulting Numbers: [57]
57,25 unequal: No Solution
Moving to Node #0,4,2
Current State: 25:[92, 31], Operations: ['75-42=33', '33-2=31']
Exploring Operation: 92-31=61, Resulting Numbers: [61]
61,25 unequal: No Solution
Exploring Operation: 92*31=2852, Resulting Numbers: [2852]
2852,25 unequal: No Solution
Exploring Operation: 92+31=123, Resulting Numbers: [123]
123,25 unequal: No Solution
Moving to Node #0,4,3
Current State: 25:[33, 94], Operations: ['75-42=33', '92+2=94']
Exploring Operation: 33+94=127, Resulting Numbers: [127]
127,25 unequal: No Solution
Exploring Operation: 94-33=61, Resulting Numbers: [61]
61,25 unequal: No Solution
Exploring Operation: 33*94=3102, Resulting Numbers: [3102]
3102,25 unequal: No Solution
Moving to Node #0,3,1
Current State: 25:[46, 117], Operations: ['92/2=46', '75+42=117']
Exploring Operation: 46+117=163, Resulting Numbers: [163]
163,25 unequal: No Solution
Exploring Operation: 46*117=5382, Resulting Numbers: [5382]
5382,25 unequal: No Solution
Exploring Operation: 117-46=71, Resulting Numbers: [71]
71,25 unequal: No Solution
Moving to Node #0,3,4
Current State: 25:[42, 121], Operations: ['92/2=46', '75+46=121']
Exploring Operation: 42*121=5082, Resulting Numbers: [5082]
5082,25 unequal: No Solution
Exploring Operation: 121-42=79, Resulting Numbers: [79]
79,25 unequal: No Solution
Exploring Operation: 42+121=163, Resulting Numbers: [163]
163,25 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
18,
56,
40,
8
] | 48 | [
"18*8=144",
"56+40=96",
"144-96=48"
] | Current State: 48:[18, 56, 40, 8], Operations: []
Exploring Operation: 18*8=144, Resulting Numbers: [56, 40, 144]
Generated Node #2: [56, 40, 144] from Operation: 18*8=144
Current State: 48:[56, 40, 144], Operations: ['18*8=144']
Exploring Operation: 56+40=96, Resulting Numbers: [144, 96]
Generated Node #3: [144, 96] from Operation: 56+40=96
Current State: 48:[144, 96], Operations: ['18*8=144', '56+40=96']
Exploring Operation: 144-96=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[18, 56, 40, 8], Operations: []
Exploring Operation: 56-8=48, Resulting Numbers: [18, 40, 48]
Generated Node #0,0: 48:[18, 40, 48] Operation: 56-8=48
Exploring Operation: 40-18=22, Resulting Numbers: [56, 8, 22]
Generated Node #0,1: 48:[56, 8, 22] Operation: 40-18=22
Exploring Operation: 56-40=16, Resulting Numbers: [18, 8, 16]
Generated Node #0,2: 48:[18, 8, 16] Operation: 56-40=16
Start Sub Search at level 1: Moving to Node #0,2
Current State: 48:[18, 8, 16], Operations: ['56-40=16']
Exploring Operation: 18+8=26, Resulting Numbers: [16, 26]
Generated Node #0,2,0: 48:[16, 26] Operation: 18+8=26
Exploring Operation: 18-8=10, Resulting Numbers: [16, 10]
Generated Node #0,2,1: 48:[16, 10] Operation: 18-8=10
Exploring Operation: 18-16=2, Resulting Numbers: [8, 2]
Generated Node #0,2,2: 48:[8, 2] Operation: 18-16=2
Moving to Node #0,2,2
Current State: 48:[8, 2], Operations: ['56-40=16', '18-16=2']
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,48 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,48 unequal: No Solution
Moving to Node #0,2,0
Current State: 48:[16, 26], Operations: ['56-40=16', '18+8=26']
Exploring Operation: 16*26=416, Resulting Numbers: [416]
416,48 unequal: No Solution
Exploring Operation: 26-16=10, Resulting Numbers: [10]
10,48 unequal: No Solution
Exploring Operation: 16+26=42, Resulting Numbers: [42]
42,48 unequal: No Solution
Moving to Node #0,2,1
Current State: 48:[16, 10], Operations: ['56-40=16', '18-8=10']
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Exploring Operation: 16*10=160, Resulting Numbers: [160]
160,48 unequal: No Solution
Exploring Operation: 16+10=26, Resulting Numbers: [26]
26,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[18, 40, 48], Operations: ['56-8=48']
Exploring Operation: 40-18=22, Resulting Numbers: [48, 22]
Generated Node #0,0,0: 48:[48, 22] Operation: 40-18=22
Exploring Operation: 18+40=58, Resulting Numbers: [48, 58]
Generated Node #0,0,1: 48:[48, 58] Operation: 18+40=58
Exploring Operation: 48-40=8, Resulting Numbers: [18, 8]
Generated Node #0,0,2: 48:[18, 8] Operation: 48-40=8
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 48:[48, 22], Operations: ['56-8=48', '40-18=22']
Exploring Operation: 48+22=70, Resulting Numbers: [70]
70,48 unequal: No Solution
Exploring Operation: 48-22=26, Resulting Numbers: [26]
26,48 unequal: No Solution
Exploring Operation: 48*22=1056, Resulting Numbers: [1056]
1056,48 unequal: No Solution
No 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: 48:[18, 8], Operations: ['56-8=48', '48-40=8']
Exploring Operation: 18*8=144, Resulting Numbers: [144]
144,48 unequal: No Solution
Exploring Operation: 18+8=26, Resulting Numbers: [26]
26,48 unequal: No Solution
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,48 unequal: No Solution
No 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: 48:[48, 58], Operations: ['56-8=48', '18+40=58']
Exploring Operation: 48+58=106, Resulting Numbers: [106]
106,48 unequal: No Solution
Exploring Operation: 58-48=10, Resulting Numbers: [10]
10,48 unequal: No Solution
Exploring Operation: 48*58=2784, Resulting Numbers: [2784]
2784,48 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: 48:[56, 8, 22], Operations: ['40-18=22']
Exploring Operation: 56-8=48, Resulting Numbers: [22, 48]
Generated Node #0,1,0: 48:[22, 48] Operation: 56-8=48
Exploring Operation: 56-22=34, Resulting Numbers: [8, 34]
Generated Node #0,1,1: 48:[8, 34] Operation: 56-22=34
Exploring Operation: 56/8=7, Resulting Numbers: [22, 7]
Generated Node #0,1,2: 48:[22, 7] Operation: 56/8=7
Moving to Node #0,1,0
Current State: 48:[22, 48], Operations: ['40-18=22', '56-8=48']
Exploring Operation: 22*48=1056, Resulting Numbers: [1056]
1056,48 unequal: No Solution
Exploring Operation: 22+48=70, Resulting Numbers: [70]
70,48 unequal: No Solution
Exploring Operation: 48-22=26, Resulting Numbers: [26]
26,48 unequal: No Solution
Moving to Node #0,1,2
Current State: 48:[22, 7], Operations: ['40-18=22', '56/8=7']
Exploring Operation: 22+7=29, Resulting Numbers: [29]
29,48 unequal: No Solution
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,48 unequal: No Solution
Exploring Operation: 22*7=154, Resulting Numbers: [154]
154,48 unequal: No Solution
Moving to Node #0,1,1
Current State: 48:[8, 34], Operations: ['40-18=22', '56-22=34']
Exploring Operation: 34-8=26, Resulting Numbers: [26]
26,48 unequal: No Solution
Exploring Operation: 8+34=42, Resulting Numbers: [42]
42,48 unequal: No Solution
Exploring Operation: 8*34=272, Resulting Numbers: [272]
272,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
76,
32,
46,
96
] | 94 | [
"76-32=44",
"96-46=50",
"44+50=94"
] | Current State: 94:[76, 32, 46, 96], Operations: []
Exploring Operation: 76-32=44, Resulting Numbers: [46, 96, 44]
Generated Node #2: [46, 96, 44] from Operation: 76-32=44
Current State: 94:[46, 96, 44], Operations: ['76-32=44']
Exploring Operation: 96-46=50, Resulting Numbers: [44, 50]
Generated Node #3: [44, 50] from Operation: 96-46=50
Current State: 94:[44, 50], Operations: ['76-32=44', '96-46=50']
Exploring Operation: 44+50=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[76, 32, 46, 96], Operations: []
Exploring Operation: 96/32=3, Resulting Numbers: [76, 46, 3]
Generated Node #0,0: 94:[76, 46, 3] Operation: 96/32=3
Exploring Operation: 76-32=44, Resulting Numbers: [46, 96, 44]
Generated Node #0,1: 94:[46, 96, 44] Operation: 76-32=44
Exploring Operation: 76+32=108, Resulting Numbers: [46, 96, 108]
Generated Node #0,2: 94:[46, 96, 108] Operation: 76+32=108
Start Sub Search at level 1: Moving to Node #0,1
Current State: 94:[46, 96, 44], Operations: ['76-32=44']
Exploring Operation: 46+44=90, Resulting Numbers: [96, 90]
Generated Node #0,1,0: 94:[96, 90] Operation: 46+44=90
Exploring Operation: 96-46=50, Resulting Numbers: [44, 50]
Generated Node #0,1,1: 94:[44, 50] Operation: 96-46=50
Exploring Operation: 46-44=2, Resulting Numbers: [96, 2]
Generated Node #0,1,2: 94:[96, 2] Operation: 46-44=2
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 94:[96, 2], Operations: ['76-32=44', '46-44=2']
Exploring Operation: 96+2=98, Resulting Numbers: [98]
98,94 unequal: No Solution
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[76, 32, 46, 96], Operations: []
Exploring Operation: 76-32=44, Resulting Numbers: [46, 96, 44]
Generated Node #0,1: 94:[46, 96, 44] Operation: 76-32=44
Moving to Node #0,1
Current State: 94:[46, 96, 44], Operations: ['76-32=44']
Exploring Operation: 46-44=2, Resulting Numbers: [96, 2]
Generated Node #0,1,2: 94:[96, 2] Operation: 46-44=2
Moving to Node #0,1,2
Current State: 94:[96, 2], Operations: ['76-32=44', '46-44=2']
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
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