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 |
|---|---|---|---|---|---|---|---|---|
[
54,
90,
93,
3
] | 43 | [
"90-54=36",
"93+36=129",
"129/3=43"
] | Current State: 43:[54, 90, 93, 3], Operations: []
Exploring Operation: 90-54=36, Resulting Numbers: [93, 3, 36]
Generated Node #2: [93, 3, 36] from Operation: 90-54=36
Current State: 43:[93, 3, 36], Operations: ['90-54=36']
Exploring Operation: 93+36=129, Resulting Numbers: [3, 129]
Generated Node #3: [3, 129] from Operation: 93+36=129
Current State: 43:[3, 129], Operations: ['90-54=36', '93+36=129']
Exploring Operation: 129/3=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[54, 90, 93, 3], Operations: []
Exploring Operation: 90/3=30, Resulting Numbers: [54, 93, 30]
Generated Node #0,0: 43:[54, 93, 30] Operation: 90/3=30
Exploring Operation: 93-54=39, Resulting Numbers: [90, 3, 39]
Generated Node #0,1: 43:[90, 3, 39] Operation: 93-54=39
Exploring Operation: 93/3=31, Resulting Numbers: [54, 90, 31]
Generated Node #0,2: 43:[54, 90, 31] Operation: 93/3=31
Moving to Node #0,2
Current State: 43:[54, 90, 31], Operations: ['93/3=31']
Exploring Operation: 90-31=59, Resulting Numbers: [54, 59]
Generated Node #0,2,0: 43:[54, 59] Operation: 90-31=59
Exploring Operation: 90-54=36, Resulting Numbers: [31, 36]
Generated Node #0,2,1: 43:[31, 36] Operation: 90-54=36
Exploring Operation: 54-31=23, Resulting Numbers: [90, 23]
Generated Node #0,2,2: 43:[90, 23] Operation: 54-31=23
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 43:[31, 36], Operations: ['93/3=31', '90-54=36']
Exploring Operation: 31+36=67, Resulting Numbers: [67]
67,43 unequal: No Solution
Exploring Operation: 36-31=5, Resulting Numbers: [5]
5,43 unequal: No Solution
Exploring Operation: 31*36=1116, Resulting Numbers: [1116]
1116,43 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 #0,2,0
Current State: 43:[54, 59], Operations: ['93/3=31', '90-31=59']
Exploring Operation: 54+59=113, Resulting Numbers: [113]
113,43 unequal: No Solution
Exploring Operation: 54*59=3186, Resulting Numbers: [3186]
3186,43 unequal: No Solution
Exploring Operation: 59-54=5, Resulting Numbers: [5]
5,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 43:[90, 23], Operations: ['93/3=31', '54-31=23']
Exploring Operation: 90-23=67, Resulting Numbers: [67]
67,43 unequal: No Solution
Exploring Operation: 90*23=2070, Resulting Numbers: [2070]
2070,43 unequal: No Solution
Exploring Operation: 90+23=113, Resulting Numbers: [113]
113,43 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: 43:[54, 93, 30], Operations: ['90/3=30']
Exploring Operation: 93-30=63, Resulting Numbers: [54, 63]
Generated Node #0,0,0: 43:[54, 63] Operation: 93-30=63
Exploring Operation: 54-30=24, Resulting Numbers: [93, 24]
Generated Node #0,0,1: 43:[93, 24] Operation: 54-30=24
Exploring Operation: 93-54=39, Resulting Numbers: [30, 39]
Generated Node #0,0,2: 43:[30, 39] Operation: 93-54=39
Moving to Node #0,1
Current State: 43:[90, 3, 39], Operations: ['93-54=39']
Exploring Operation: 90-3=87, Resulting Numbers: [39, 87]
Generated Node #0,1,0: 43:[39, 87] Operation: 90-3=87
Exploring Operation: 90-39=51, Resulting Numbers: [3, 51]
Generated Node #0,1,1: 43:[3, 51] Operation: 90-39=51
Exploring Operation: 90/3=30, Resulting Numbers: [39, 30]
Generated Node #0,1,2: 43:[39, 30] Operation: 90/3=30
Moving to Node #0,0,2
Current State: 43:[30, 39], Operations: ['90/3=30', '93-54=39']
Exploring Operation: 39-30=9, Resulting Numbers: [9]
9,43 unequal: No Solution
Exploring Operation: 30*39=1170, Resulting Numbers: [1170]
1170,43 unequal: No Solution
Exploring Operation: 30+39=69, Resulting Numbers: [69]
69,43 unequal: No Solution
Moving to Node #0,1,2
Current State: 43:[39, 30], Operations: ['93-54=39', '90/3=30']
Exploring Operation: 39*30=1170, Resulting Numbers: [1170]
1170,43 unequal: No Solution
Exploring Operation: 39-30=9, Resulting Numbers: [9]
9,43 unequal: No Solution
Exploring Operation: 39+30=69, Resulting Numbers: [69]
69,43 unequal: No Solution
Moving to Node #0,0,0
Current State: 43:[54, 63], Operations: ['90/3=30', '93-30=63']
Exploring Operation: 54+63=117, Resulting Numbers: [117]
117,43 unequal: No Solution
Exploring Operation: 54*63=3402, Resulting Numbers: [3402]
3402,43 unequal: No Solution
Exploring Operation: 63-54=9, Resulting Numbers: [9]
9,43 unequal: No Solution
Moving to Node #0,1,1
Current State: 43:[3, 51], Operations: ['93-54=39', '90-39=51']
Exploring Operation: 3+51=54, Resulting Numbers: [54]
54,43 unequal: No Solution
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,43 unequal: No Solution
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,43 unequal: No Solution
Moving to Node #0,1,0
Current State: 43:[39, 87], Operations: ['93-54=39', '90-3=87']
Exploring Operation: 39*87=3393, Resulting Numbers: [3393]
3393,43 unequal: No Solution
Exploring Operation: 39+87=126, Resulting Numbers: [126]
126,43 unequal: No Solution
Exploring Operation: 87-39=48, Resulting Numbers: [48]
48,43 unequal: No Solution
Moving to Node #0,0,1
Current State: 43:[93, 24], Operations: ['90/3=30', '54-30=24']
Exploring Operation: 93+24=117, Resulting Numbers: [117]
117,43 unequal: No Solution
Exploring Operation: 93*24=2232, Resulting Numbers: [2232]
2232,43 unequal: No Solution
Exploring Operation: 93-24=69, Resulting Numbers: [69]
69,43 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
26,
68,
55,
17
] | 77 | [
"26+55=81",
"68/17=4",
"81-4=77"
] | Current State: 77:[26, 68, 55, 17], Operations: []
Exploring Operation: 26+55=81, Resulting Numbers: [68, 17, 81]
Generated Node #2: [68, 17, 81] from Operation: 26+55=81
Current State: 77:[68, 17, 81], Operations: ['26+55=81']
Exploring Operation: 68/17=4, Resulting Numbers: [81, 4]
Generated Node #3: [81, 4] from Operation: 68/17=4
Current State: 77:[81, 4], Operations: ['26+55=81', '68/17=4']
Exploring Operation: 81-4=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[26, 68, 55, 17], Operations: []
Exploring Operation: 26+55=81, Resulting Numbers: [68, 17, 81]
Generated Node #0,0: 77:[68, 17, 81] Operation: 26+55=81
Exploring Operation: 68-55=13, Resulting Numbers: [26, 17, 13]
Generated Node #0,1: 77:[26, 17, 13] Operation: 68-55=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[68, 17, 81], Operations: ['26+55=81']
Exploring Operation: 68/17=4, Resulting Numbers: [81, 4]
Generated Node #0,0,0: 77:[81, 4] Operation: 68/17=4
Exploring Operation: 81-68=13, Resulting Numbers: [17, 13]
Generated Node #0,0,1: 77:[17, 13] Operation: 81-68=13
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 77:[81, 4], Operations: ['26+55=81', '68/17=4']
Exploring Operation: 81+4=85, Resulting Numbers: [85]
85,77 unequal: No Solution
Exploring Operation: 81-4=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[26, 68, 55, 17], Operations: []
Exploring Operation: 26+55=81, Resulting Numbers: [68, 17, 81]
Generated Node #0,0: 77:[68, 17, 81] Operation: 26+55=81
Moving to Node #0,0
Current State: 77:[68, 17, 81], Operations: ['26+55=81']
Exploring Operation: 68/17=4, Resulting Numbers: [81, 4]
Generated Node #0,0,0: 77:[81, 4] Operation: 68/17=4
Moving to Node #0,0,0
Current State: 77:[81, 4], Operations: ['26+55=81', '68/17=4']
Exploring Operation: 81-4=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
26,
31,
72,
85
] | 100 | [
"26+31=57",
"72+85=157",
"157-57=100"
] | Current State: 100:[26, 31, 72, 85], Operations: []
Exploring Operation: 26+31=57, Resulting Numbers: [72, 85, 57]
Generated Node #2: [72, 85, 57] from Operation: 26+31=57
Current State: 100:[72, 85, 57], Operations: ['26+31=57']
Exploring Operation: 72+85=157, Resulting Numbers: [57, 157]
Generated Node #3: [57, 157] from Operation: 72+85=157
Current State: 100:[57, 157], Operations: ['26+31=57', '72+85=157']
Exploring Operation: 157-57=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[26, 31, 72, 85], Operations: []
Exploring Operation: 72-26=46, Resulting Numbers: [31, 85, 46]
Generated Node #0,0: 100:[31, 85, 46] Operation: 72-26=46
Exploring Operation: 85-72=13, Resulting Numbers: [26, 31, 13]
Generated Node #0,1: 100:[26, 31, 13] Operation: 85-72=13
Exploring Operation: 31+72=103, Resulting Numbers: [26, 85, 103]
Generated Node #0,2: 100:[26, 85, 103] Operation: 31+72=103
Exploring Operation: 26+72=98, Resulting Numbers: [31, 85, 98]
Generated Node #0,3: 100:[31, 85, 98] Operation: 26+72=98
Moving to Node #0,1
Current State: 100:[26, 31, 13], Operations: ['85-72=13']
Exploring Operation: 31+13=44, Resulting Numbers: [26, 44]
Generated Node #0,1,0: 100:[26, 44] Operation: 31+13=44
Exploring Operation: 31-13=18, Resulting Numbers: [26, 18]
Generated Node #0,1,1: 100:[26, 18] Operation: 31-13=18
Exploring Operation: 26/13=2, Resulting Numbers: [31, 2]
Generated Node #0,1,2: 100:[31, 2] Operation: 26/13=2
Exploring Operation: 31-26=5, Resulting Numbers: [13, 5]
Generated Node #0,1,3: 100:[13, 5] Operation: 31-26=5
Moving to Node #0,2
Current State: 100:[26, 85, 103], Operations: ['31+72=103']
Exploring Operation: 103-85=18, Resulting Numbers: [26, 18]
Generated Node #0,2,0: 100:[26, 18] Operation: 103-85=18
Exploring Operation: 26+85=111, Resulting Numbers: [103, 111]
Generated Node #0,2,1: 100:[103, 111] Operation: 26+85=111
Exploring Operation: 85-26=59, Resulting Numbers: [103, 59]
Generated Node #0,2,2: 100:[103, 59] Operation: 85-26=59
Exploring Operation: 103-26=77, Resulting Numbers: [85, 77]
Generated Node #0,2,3: 100:[85, 77] Operation: 103-26=77
Moving to Node #0,3
Current State: 100:[31, 85, 98], Operations: ['26+72=98']
Exploring Operation: 98-31=67, Resulting Numbers: [85, 67]
Generated Node #0,3,0: 100:[85, 67] Operation: 98-31=67
Exploring Operation: 31+85=116, Resulting Numbers: [98, 116]
Generated Node #0,3,1: 100:[98, 116] Operation: 31+85=116
Exploring Operation: 98-85=13, Resulting Numbers: [31, 13]
Generated Node #0,3,2: 100:[31, 13] Operation: 98-85=13
Exploring Operation: 85-31=54, Resulting Numbers: [98, 54]
Generated Node #0,3,3: 100:[98, 54] Operation: 85-31=54
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 100:[98, 54], Operations: ['26+72=98', '85-31=54']
Exploring Operation: 98*54=5292, Resulting Numbers: [5292]
5292,100 unequal: No Solution
Exploring Operation: 98-54=44, Resulting Numbers: [44]
44,100 unequal: No Solution
Exploring Operation: 98+54=152, Resulting Numbers: [152]
152,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 100:[31, 13], Operations: ['26+72=98', '98-85=13']
Exploring Operation: 31+13=44, Resulting Numbers: [44]
44,100 unequal: No Solution
Exploring Operation: 31*13=403, Resulting Numbers: [403]
403,100 unequal: No Solution
Exploring Operation: 31-13=18, Resulting Numbers: [18]
18,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 100:[98, 116], Operations: ['26+72=98', '31+85=116']
Exploring Operation: 116-98=18, Resulting Numbers: [18]
18,100 unequal: No Solution
Exploring Operation: 98+116=214, Resulting Numbers: [214]
214,100 unequal: No Solution
Exploring Operation: 98*116=11368, Resulting Numbers: [11368]
11368,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 100:[85, 67], Operations: ['26+72=98', '98-31=67']
Exploring Operation: 85+67=152, Resulting Numbers: [152]
152,100 unequal: No Solution
Exploring Operation: 85*67=5695, Resulting Numbers: [5695]
5695,100 unequal: No Solution
Exploring Operation: 85-67=18, Resulting Numbers: [18]
18,100 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:[31, 85, 46], Operations: ['72-26=46']
Exploring Operation: 85-46=39, Resulting Numbers: [31, 39]
Generated Node #0,0,0: 100:[31, 39] Operation: 85-46=39
Exploring Operation: 31+85=116, Resulting Numbers: [46, 116]
Generated Node #0,0,1: 100:[46, 116] Operation: 31+85=116
Exploring Operation: 46-31=15, Resulting Numbers: [85, 15]
Generated Node #0,0,2: 100:[85, 15] Operation: 46-31=15
Exploring Operation: 85-31=54, Resulting Numbers: [46, 54]
Generated Node #0,0,3: 100:[46, 54] Operation: 85-31=54
Moving to Node #0,1,1
Current State: 100:[26, 18], Operations: ['85-72=13', '31-13=18']
Exploring Operation: 26*18=468, Resulting Numbers: [468]
468,100 unequal: No Solution
Exploring Operation: 26+18=44, Resulting Numbers: [44]
44,100 unequal: No Solution
Exploring Operation: 26-18=8, Resulting Numbers: [8]
8,100 unequal: No Solution
Moving to Node #0,1,3
Current State: 100:[13, 5], Operations: ['85-72=13', '31-26=5']
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,100 unequal: No Solution
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,100 unequal: No Solution
Exploring Operation: 13+5=18, Resulting Numbers: [18]
18,100 unequal: No Solution
Moving to Node #0,2,0
Current State: 100:[26, 18], Operations: ['31+72=103', '103-85=18']
Exploring Operation: 26+18=44, Resulting Numbers: [44]
44,100 unequal: No Solution
Exploring Operation: 26-18=8, Resulting Numbers: [8]
8,100 unequal: No Solution
Exploring Operation: 26*18=468, Resulting Numbers: [468]
468,100 unequal: No Solution
Moving to Node #0,1,2
Current State: 100:[31, 2], Operations: ['85-72=13', '26/13=2']
Exploring Operation: 31+2=33, Resulting Numbers: [33]
33,100 unequal: No Solution
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,100 unequal: No Solution
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,100 unequal: No Solution
Moving to Node #0,1,0
Current State: 100:[26, 44], Operations: ['85-72=13', '31+13=44']
Exploring Operation: 26+44=70, Resulting Numbers: [70]
70,100 unequal: No Solution
Exploring Operation: 44-26=18, Resulting Numbers: [18]
18,100 unequal: No Solution
Exploring Operation: 26*44=1144, Resulting Numbers: [1144]
1144,100 unequal: No Solution
Moving to Node #0,0,3
Current State: 100:[46, 54], Operations: ['72-26=46', '85-31=54']
Exploring Operation: 54-46=8, Resulting Numbers: [8]
8,100 unequal: No Solution
Exploring Operation: 46+54=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[26, 31, 72, 85], Operations: []
Exploring Operation: 72-26=46, Resulting Numbers: [31, 85, 46]
Generated Node #0,0: 100:[31, 85, 46] Operation: 72-26=46
Moving to Node #0,0
Current State: 100:[31, 85, 46], Operations: ['72-26=46']
Exploring Operation: 85-31=54, Resulting Numbers: [46, 54]
Generated Node #0,0,3: 100:[46, 54] Operation: 85-31=54
Moving to Node #0,0,3
Current State: 100:[46, 54], Operations: ['72-26=46', '85-31=54']
Exploring Operation: 46+54=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 0.953993 | hs_4 | mult_heuristic |
[
43,
68,
4,
66
] | 94 | [
"43+4=47",
"68-66=2",
"47*2=94"
] | Current State: 94:[43, 68, 4, 66], Operations: []
Exploring Operation: 43+4=47, Resulting Numbers: [68, 66, 47]
Generated Node #2: [68, 66, 47] from Operation: 43+4=47
Current State: 94:[68, 66, 47], Operations: ['43+4=47']
Exploring Operation: 68-66=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 68-66=2
Current State: 94:[47, 2], Operations: ['43+4=47', '68-66=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[43, 68, 4, 66], Operations: []
Exploring Operation: 43+66=109, Resulting Numbers: [68, 4, 109]
Generated Node #0,0: 94:[68, 4, 109] Operation: 43+66=109
Exploring Operation: 68-66=2, Resulting Numbers: [43, 4, 2]
Generated Node #0,1: 94:[43, 4, 2] Operation: 68-66=2
Exploring Operation: 68/4=17, Resulting Numbers: [43, 66, 17]
Generated Node #0,2: 94:[43, 66, 17] Operation: 68/4=17
Exploring Operation: 43+4=47, Resulting Numbers: [68, 66, 47]
Generated Node #0,3: 94:[68, 66, 47] Operation: 43+4=47
Exploring Operation: 43+68=111, Resulting Numbers: [4, 66, 111]
Generated Node #0,4: 94:[4, 66, 111] Operation: 43+68=111
Start Sub Search at level 1: Moving to Node #0,1
Current State: 94:[43, 4, 2], Operations: ['68-66=2']
Exploring Operation: 43+4=47, Resulting Numbers: [2, 47]
Generated Node #0,1,0: 94:[2, 47] Operation: 43+4=47
Exploring Operation: 4-2=2, Resulting Numbers: [43, 2]
Generated Node #0,1,1: 94:[43, 2] Operation: 4-2=2
Exploring Operation: 4/2=2, Resulting Numbers: [43, 2]
Generated Node #0,1,2: 94:[43, 2] Operation: 4/2=2
Exploring Operation: 43+2=45, Resulting Numbers: [4, 45]
Generated Node #0,1,3: 94:[4, 45] Operation: 43+2=45
Exploring Operation: 43-4=39, Resulting Numbers: [2, 39]
Generated Node #0,1,4: 94:[2, 39] Operation: 43-4=39
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 94:[2, 47], Operations: ['68-66=2', '43+4=47']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,94 unequal: No Solution
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[43, 68, 4, 66], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [43, 4, 2]
Generated Node #0,1: 94:[43, 4, 2] Operation: 68-66=2
Moving to Node #0,1
Current State: 94:[43, 4, 2], Operations: ['68-66=2']
Exploring Operation: 43+4=47, Resulting Numbers: [2, 47]
Generated Node #0,1,0: 94:[2, 47] Operation: 43+4=47
Moving to Node #0,1,0
Current State: 94:[2, 47], Operations: ['68-66=2', '43+4=47']
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
45,
98,
46,
58
] | 34 | [
"45*46=2070",
"2070-98=1972",
"1972/58=34"
] | Current State: 34:[45, 98, 46, 58], Operations: []
Exploring Operation: 45*46=2070, Resulting Numbers: [98, 58, 2070]
Generated Node #2: [98, 58, 2070] from Operation: 45*46=2070
Current State: 34:[98, 58, 2070], Operations: ['45*46=2070']
Exploring Operation: 2070-98=1972, Resulting Numbers: [58, 1972]
Generated Node #3: [58, 1972] from Operation: 2070-98=1972
Current State: 34:[58, 1972], Operations: ['45*46=2070', '2070-98=1972']
Exploring Operation: 1972/58=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[45, 98, 46, 58], Operations: []
Exploring Operation: 98-58=40, Resulting Numbers: [45, 46, 40]
Generated Node #0,0: 34:[45, 46, 40] Operation: 98-58=40
Exploring Operation: 98-46=52, Resulting Numbers: [45, 58, 52]
Generated Node #0,1: 34:[45, 58, 52] Operation: 98-46=52
Moving to Node #0,0
Current State: 34:[45, 46, 40], Operations: ['98-58=40']
Exploring Operation: 46-45=1, Resulting Numbers: [40, 1]
Generated Node #0,0,0: 34:[40, 1] Operation: 46-45=1
Exploring Operation: 45-40=5, Resulting Numbers: [46, 5]
Generated Node #0,0,1: 34:[46, 5] Operation: 45-40=5
Moving to Node #0,1
Current State: 34:[45, 58, 52], Operations: ['98-46=52']
Exploring Operation: 58-45=13, Resulting Numbers: [52, 13]
Generated Node #0,1,0: 34:[52, 13] Operation: 58-45=13
Exploring Operation: 58-52=6, Resulting Numbers: [45, 6]
Generated Node #0,1,1: 34:[45, 6] Operation: 58-52=6
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 34:[45, 6], Operations: ['98-46=52', '58-52=6']
Exploring Operation: 45+6=51, Resulting Numbers: [51]
51,34 unequal: No Solution
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 34:[52, 13], Operations: ['98-46=52', '58-45=13']
Exploring Operation: 52-13=39, Resulting Numbers: [39]
39,34 unequal: No Solution
Exploring Operation: 52/13=4, Resulting Numbers: [4]
4,34 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: 34:[40, 1], Operations: ['98-58=40', '46-45=1']
Exploring Operation: 40*1=40, Resulting Numbers: [40]
40,34 unequal: No Solution
Exploring Operation: 40-1=39, Resulting Numbers: [39]
39,34 unequal: No Solution
Moving to Node #0,0,1
Current State: 34:[46, 5], Operations: ['98-58=40', '45-40=5']
Exploring Operation: 46+5=51, Resulting Numbers: [51]
51,34 unequal: No Solution
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,34 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
77,
49,
99,
91
] | 54 | [
"91-49=42",
"99*42=4158",
"4158/77=54"
] | Current State: 54:[77, 49, 99, 91], Operations: []
Exploring Operation: 91-49=42, Resulting Numbers: [77, 99, 42]
Generated Node #2: [77, 99, 42] from Operation: 91-49=42
Current State: 54:[77, 99, 42], Operations: ['91-49=42']
Exploring Operation: 99*42=4158, Resulting Numbers: [77, 4158]
Generated Node #3: [77, 4158] from Operation: 99*42=4158
Current State: 54:[77, 4158], Operations: ['91-49=42', '99*42=4158']
Exploring Operation: 4158/77=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[77, 49, 99, 91], Operations: []
Exploring Operation: 99-91=8, Resulting Numbers: [77, 49, 8]
Generated Node #0,0: 54:[77, 49, 8] Operation: 99-91=8
Exploring Operation: 91-77=14, Resulting Numbers: [49, 99, 14]
Generated Node #0,1: 54:[49, 99, 14] Operation: 91-77=14
Exploring Operation: 99-77=22, Resulting Numbers: [49, 91, 22]
Generated Node #0,2: 54:[49, 91, 22] Operation: 99-77=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[77, 49, 8], Operations: ['99-91=8']
Exploring Operation: 77-8=69, Resulting Numbers: [49, 69]
Generated Node #0,0,0: 54:[49, 69] Operation: 77-8=69
Exploring Operation: 49+8=57, Resulting Numbers: [77, 57]
Generated Node #0,0,1: 54:[77, 57] Operation: 49+8=57
Exploring Operation: 77-49=28, Resulting Numbers: [8, 28]
Generated Node #0,0,2: 54:[8, 28] Operation: 77-49=28
Moving to Node #0,0,2
Current State: 54:[8, 28], Operations: ['99-91=8', '77-49=28']
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,54 unequal: No Solution
Exploring Operation: 8+28=36, Resulting Numbers: [36]
36,54 unequal: No Solution
Exploring Operation: 8*28=224, Resulting Numbers: [224]
224,54 unequal: No Solution
Moving to Node #0,0,0
Current State: 54:[49, 69], Operations: ['99-91=8', '77-8=69']
Exploring Operation: 69-49=20, Resulting Numbers: [20]
20,54 unequal: No Solution
Exploring Operation: 49+69=118, Resulting Numbers: [118]
118,54 unequal: No Solution
Exploring Operation: 49*69=3381, Resulting Numbers: [3381]
3381,54 unequal: No Solution
Moving to Node #0,0,1
Current State: 54:[77, 57], Operations: ['99-91=8', '49+8=57']
Exploring Operation: 77+57=134, Resulting Numbers: [134]
134,54 unequal: No Solution
Exploring Operation: 77*57=4389, Resulting Numbers: [4389]
4389,54 unequal: No Solution
Exploring Operation: 77-57=20, Resulting Numbers: [20]
20,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 54:[49, 91, 22], Operations: ['99-77=22']
Exploring Operation: 49-22=27, Resulting Numbers: [91, 27]
Generated Node #0,2,0: 54:[91, 27] Operation: 49-22=27
Exploring Operation: 91-49=42, Resulting Numbers: [22, 42]
Generated Node #0,2,1: 54:[22, 42] Operation: 91-49=42
Exploring Operation: 91-22=69, Resulting Numbers: [49, 69]
Generated Node #0,2,2: 54:[49, 69] Operation: 91-22=69
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 54:[22, 42], Operations: ['99-77=22', '91-49=42']
Exploring Operation: 22+42=64, Resulting Numbers: [64]
64,54 unequal: No Solution
Exploring Operation: 22*42=924, Resulting Numbers: [924]
924,54 unequal: No Solution
Exploring Operation: 42-22=20, Resulting Numbers: [20]
20,54 unequal: No Solution
No 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: 54:[49, 69], Operations: ['99-77=22', '91-22=69']
Exploring Operation: 49*69=3381, Resulting Numbers: [3381]
3381,54 unequal: No Solution
Exploring Operation: 49+69=118, Resulting Numbers: [118]
118,54 unequal: No Solution
Exploring Operation: 69-49=20, Resulting Numbers: [20]
20,54 unequal: No Solution
No 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: 54:[91, 27], Operations: ['99-77=22', '49-22=27']
Exploring Operation: 91*27=2457, Resulting Numbers: [2457]
2457,54 unequal: No Solution
Exploring Operation: 91-27=64, Resulting Numbers: [64]
64,54 unequal: No Solution
Exploring Operation: 91+27=118, Resulting Numbers: [118]
118,54 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: 54:[49, 99, 14], Operations: ['91-77=14']
Exploring Operation: 49-14=35, Resulting Numbers: [99, 35]
Generated Node #0,1,0: 54:[99, 35] Operation: 49-14=35
Exploring Operation: 99-49=50, Resulting Numbers: [14, 50]
Generated Node #0,1,1: 54:[14, 50] Operation: 99-49=50
Exploring Operation: 99-14=85, Resulting Numbers: [49, 85]
Generated Node #0,1,2: 54:[49, 85] Operation: 99-14=85
Moving to Node #0,1,1
Current State: 54:[14, 50], Operations: ['91-77=14', '99-49=50']
Exploring Operation: 50-14=36, Resulting Numbers: [36]
36,54 unequal: No Solution
Exploring Operation: 14*50=700, Resulting Numbers: [700]
700,54 unequal: No Solution
Exploring Operation: 14+50=64, Resulting Numbers: [64]
64,54 unequal: No Solution
Moving to Node #0,1,2
Current State: 54:[49, 85], Operations: ['91-77=14', '99-14=85']
Exploring Operation: 49*85=4165, Resulting Numbers: [4165]
4165,54 unequal: No Solution
Exploring Operation: 85-49=36, Resulting Numbers: [36]
36,54 unequal: No Solution
Exploring Operation: 49+85=134, Resulting Numbers: [134]
134,54 unequal: No Solution
Moving to Node #0,1,0
Current State: 54:[99, 35], Operations: ['91-77=14', '49-14=35']
Exploring Operation: 99+35=134, Resulting Numbers: [134]
134,54 unequal: No Solution
Exploring Operation: 99-35=64, Resulting Numbers: [64]
64,54 unequal: No Solution
Exploring Operation: 99*35=3465, Resulting Numbers: [3465]
3465,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
48,
23,
7,
52
] | 26 | [
"48+23=71",
"52-7=45",
"71-45=26"
] | Current State: 26:[48, 23, 7, 52], Operations: []
Exploring Operation: 48+23=71, Resulting Numbers: [7, 52, 71]
Generated Node #2: [7, 52, 71] from Operation: 48+23=71
Current State: 26:[7, 52, 71], Operations: ['48+23=71']
Exploring Operation: 52-7=45, Resulting Numbers: [71, 45]
Generated Node #3: [71, 45] from Operation: 52-7=45
Current State: 26:[71, 45], Operations: ['48+23=71', '52-7=45']
Exploring Operation: 71-45=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[48, 23, 7, 52], Operations: []
Exploring Operation: 52-23=29, Resulting Numbers: [48, 7, 29]
Generated Node #0,0: 26:[48, 7, 29] Operation: 52-23=29
Exploring Operation: 48-23=25, Resulting Numbers: [7, 52, 25]
Generated Node #0,1: 26:[7, 52, 25] Operation: 48-23=25
Exploring Operation: 52-48=4, Resulting Numbers: [23, 7, 4]
Generated Node #0,2: 26:[23, 7, 4] Operation: 52-48=4
Exploring Operation: 48-7=41, Resulting Numbers: [23, 52, 41]
Generated Node #0,3: 26:[23, 52, 41] Operation: 48-7=41
Moving to Node #0,2
Current State: 26:[23, 7, 4], Operations: ['52-48=4']
Exploring Operation: 23-7=16, Resulting Numbers: [4, 16]
Generated Node #0,2,0: 26:[4, 16] Operation: 23-7=16
Exploring Operation: 7*4=28, Resulting Numbers: [23, 28]
Generated Node #0,2,1: 26:[23, 28] Operation: 7*4=28
Exploring Operation: 7+4=11, Resulting Numbers: [23, 11]
Generated Node #0,2,2: 26:[23, 11] Operation: 7+4=11
Exploring Operation: 7-4=3, Resulting Numbers: [23, 3]
Generated Node #0,2,3: 26:[23, 3] Operation: 7-4=3
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 26:[23, 3], Operations: ['52-48=4', '7-4=3']
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,26 unequal: No Solution
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,26 unequal: No Solution
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[48, 23, 7, 52], Operations: []
Exploring Operation: 52-48=4, Resulting Numbers: [23, 7, 4]
Generated Node #0,2: 26:[23, 7, 4] Operation: 52-48=4
Moving to Node #0,2
Current State: 26:[23, 7, 4], Operations: ['52-48=4']
Exploring Operation: 7-4=3, Resulting Numbers: [23, 3]
Generated Node #0,2,3: 26:[23, 3] Operation: 7-4=3
Moving to Node #0,2,3
Current State: 26:[23, 3], Operations: ['52-48=4', '7-4=3']
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
50,
73,
38,
30
] | 10 | [
"73-38=35",
"35-30=5",
"50/5=10"
] | Current State: 10:[50, 73, 38, 30], Operations: []
Exploring Operation: 73-38=35, Resulting Numbers: [50, 30, 35]
Generated Node #2: [50, 30, 35] from Operation: 73-38=35
Current State: 10:[50, 30, 35], Operations: ['73-38=35']
Exploring Operation: 35-30=5, Resulting Numbers: [50, 5]
Generated Node #3: [50, 5] from Operation: 35-30=5
Current State: 10:[50, 5], Operations: ['73-38=35', '35-30=5']
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[50, 73, 38, 30], Operations: []
Exploring Operation: 73-50=23, Resulting Numbers: [38, 30, 23]
Generated Node #0,0: 10:[38, 30, 23] Operation: 73-50=23
Exploring Operation: 50-30=20, Resulting Numbers: [73, 38, 20]
Generated Node #0,1: 10:[73, 38, 20] Operation: 50-30=20
Exploring Operation: 73-38=35, Resulting Numbers: [50, 30, 35]
Generated Node #0,2: 10:[50, 30, 35] Operation: 73-38=35
Exploring Operation: 50-38=12, Resulting Numbers: [73, 30, 12]
Generated Node #0,3: 10:[73, 30, 12] Operation: 50-38=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[38, 30, 23], Operations: ['73-50=23']
Exploring Operation: 38+30=68, Resulting Numbers: [23, 68]
Generated Node #0,0,0: 10:[23, 68] Operation: 38+30=68
Exploring Operation: 38-30=8, Resulting Numbers: [23, 8]
Generated Node #0,0,1: 10:[23, 8] Operation: 38-30=8
Exploring Operation: 30-23=7, Resulting Numbers: [38, 7]
Generated Node #0,0,2: 10:[38, 7] Operation: 30-23=7
Exploring Operation: 38-23=15, Resulting Numbers: [30, 15]
Generated Node #0,0,3: 10:[30, 15] Operation: 38-23=15
Moving to Node #0,0,1
Current State: 10:[23, 8], Operations: ['73-50=23', '38-30=8']
Exploring Operation: 23*8=184, Resulting Numbers: [184]
184,10 unequal: No Solution
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,10 unequal: No Solution
Exploring Operation: 23+8=31, Resulting Numbers: [31]
31,10 unequal: No Solution
Moving to Node #0,0,3
Current State: 10:[30, 15], Operations: ['73-50=23', '38-23=15']
Exploring Operation: 30*15=450, Resulting Numbers: [450]
450,10 unequal: No Solution
Exploring Operation: 30-15=15, Resulting Numbers: [15]
15,10 unequal: No Solution
Exploring Operation: 30+15=45, Resulting Numbers: [45]
45,10 unequal: No Solution
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Moving to Node #0,0,2
Current State: 10:[38, 7], Operations: ['73-50=23', '30-23=7']
Exploring Operation: 38*7=266, Resulting Numbers: [266]
266,10 unequal: No Solution
Exploring Operation: 38+7=45, Resulting Numbers: [45]
45,10 unequal: No Solution
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,10 unequal: No Solution
Moving to Node #0,0,0
Current State: 10:[23, 68], Operations: ['73-50=23', '38+30=68']
Exploring Operation: 23*68=1564, Resulting Numbers: [1564]
1564,10 unequal: No Solution
Exploring Operation: 68-23=45, Resulting Numbers: [45]
45,10 unequal: No Solution
Exploring Operation: 23+68=91, Resulting Numbers: [91]
91,10 unequal: No Solution
No 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: 10:[50, 30, 35], Operations: ['73-38=35']
Exploring Operation: 50-30=20, Resulting Numbers: [35, 20]
Generated Node #0,2,0: 10:[35, 20] Operation: 50-30=20
Exploring Operation: 50+30=80, Resulting Numbers: [35, 80]
Generated Node #0,2,1: 10:[35, 80] Operation: 50+30=80
Exploring Operation: 35-30=5, Resulting Numbers: [50, 5]
Generated Node #0,2,2: 10:[50, 5] Operation: 35-30=5
Exploring Operation: 50-35=15, Resulting Numbers: [30, 15]
Generated Node #0,2,3: 10:[30, 15] Operation: 50-35=15
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 10:[30, 15], Operations: ['73-38=35', '50-35=15']
Exploring Operation: 30-15=15, Resulting Numbers: [15]
15,10 unequal: No Solution
Exploring Operation: 30+15=45, Resulting Numbers: [45]
45,10 unequal: No Solution
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 30*15=450, Resulting Numbers: [450]
450,10 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 #0,2,0
Current State: 10:[35, 20], Operations: ['73-38=35', '50-30=20']
Exploring Operation: 35+20=55, Resulting Numbers: [55]
55,10 unequal: No Solution
Exploring Operation: 35-20=15, Resulting Numbers: [15]
15,10 unequal: No Solution
Exploring Operation: 35*20=700, Resulting Numbers: [700]
700,10 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 #0,2,2
Current State: 10:[50, 5], Operations: ['73-38=35', '35-30=5']
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[50, 73, 38, 30], Operations: []
Exploring Operation: 73-38=35, Resulting Numbers: [50, 30, 35]
Generated Node #0,2: 10:[50, 30, 35] Operation: 73-38=35
Moving to Node #0,2
Current State: 10:[50, 30, 35], Operations: ['73-38=35']
Exploring Operation: 35-30=5, Resulting Numbers: [50, 5]
Generated Node #0,2,2: 10:[50, 5] Operation: 35-30=5
Moving to Node #0,2,2
Current State: 10:[50, 5], Operations: ['73-38=35', '35-30=5']
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967882 | hs_4 | mult_heuristic |
[
84,
48,
82,
4
] | 49 | [
"84+48=132",
"132/4=33",
"82-33=49"
] | Current State: 49:[84, 48, 82, 4], Operations: []
Exploring Operation: 84+48=132, Resulting Numbers: [82, 4, 132]
Generated Node #2: [82, 4, 132] from Operation: 84+48=132
Current State: 49:[82, 4, 132], Operations: ['84+48=132']
Exploring Operation: 132/4=33, Resulting Numbers: [82, 33]
Generated Node #3: [82, 33] from Operation: 132/4=33
Current State: 49:[82, 33], Operations: ['84+48=132', '132/4=33']
Exploring Operation: 82-33=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[84, 48, 82, 4], Operations: []
Exploring Operation: 84-82=2, Resulting Numbers: [48, 4, 2]
Generated Node #0,0: 49:[48, 4, 2] Operation: 84-82=2
Exploring Operation: 82-48=34, Resulting Numbers: [84, 4, 34]
Generated Node #0,1: 49:[84, 4, 34] Operation: 82-48=34
Exploring Operation: 84/4=21, Resulting Numbers: [48, 82, 21]
Generated Node #0,2: 49:[48, 82, 21] Operation: 84/4=21
Exploring Operation: 84-4=80, Resulting Numbers: [48, 82, 80]
Generated Node #0,3: 49:[48, 82, 80] Operation: 84-4=80
Exploring Operation: 84-48=36, Resulting Numbers: [82, 4, 36]
Generated Node #0,4: 49:[82, 4, 36] Operation: 84-48=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[48, 4, 2], Operations: ['84-82=2']
Exploring Operation: 4+2=6, Resulting Numbers: [48, 6]
Generated Node #0,0,0: 49:[48, 6] Operation: 4+2=6
Exploring Operation: 4-2=2, Resulting Numbers: [48, 2]
Generated Node #0,0,1: 49:[48, 2] Operation: 4-2=2
Exploring Operation: 48+2=50, Resulting Numbers: [4, 50]
Generated Node #0,0,2: 49:[4, 50] Operation: 48+2=50
Exploring Operation: 48-2=46, Resulting Numbers: [4, 46]
Generated Node #0,0,3: 49:[4, 46] Operation: 48-2=46
Exploring Operation: 4*2=8, Resulting Numbers: [48, 8]
Generated Node #0,0,4: 49:[48, 8] Operation: 4*2=8
Moving to Node #0,0,0
Current State: 49:[48, 6], Operations: ['84-82=2', '4+2=6']
Exploring Operation: 48*6=288, Resulting Numbers: [288]
288,49 unequal: No Solution
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,49 unequal: No Solution
Exploring Operation: 48+6=54, Resulting Numbers: [54]
54,49 unequal: No Solution
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,49 unequal: No Solution
Moving to Node #0,0,4
Current State: 49:[48, 8], Operations: ['84-82=2', '4*2=8']
Exploring Operation: 48*8=384, Resulting Numbers: [384]
384,49 unequal: No Solution
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,49 unequal: No Solution
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,49 unequal: No Solution
Exploring Operation: 48+8=56, Resulting Numbers: [56]
56,49 unequal: No Solution
Moving to Node #0,0,2
Current State: 49:[4, 50], Operations: ['84-82=2', '48+2=50']
Exploring Operation: 4+50=54, Resulting Numbers: [54]
54,49 unequal: No Solution
Exploring Operation: 4*50=200, Resulting Numbers: [200]
200,49 unequal: No Solution
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,49 unequal: No Solution
Moving to Node #0,0,1
Current State: 49:[48, 2], Operations: ['84-82=2', '4-2=2']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,49 unequal: No Solution
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,49 unequal: No Solution
Exploring Operation: 48*2=96, Resulting Numbers: [96]
96,49 unequal: No Solution
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,49 unequal: No Solution
Moving to Node #0,0,3
Current State: 49:[4, 46], Operations: ['84-82=2', '48-2=46']
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,49 unequal: No Solution
Exploring Operation: 4*46=184, Resulting Numbers: [184]
184,49 unequal: No Solution
Exploring Operation: 4+46=50, Resulting Numbers: [50]
50,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 49:[48, 82, 21], Operations: ['84/4=21']
Exploring Operation: 48+21=69, Resulting Numbers: [82, 69]
Generated Node #0,2,0: 49:[82, 69] Operation: 48+21=69
Exploring Operation: 82+21=103, Resulting Numbers: [48, 103]
Generated Node #0,2,1: 49:[48, 103] Operation: 82+21=103
Exploring Operation: 82-48=34, Resulting Numbers: [21, 34]
Generated Node #0,2,2: 49:[21, 34] Operation: 82-48=34
Exploring Operation: 82-21=61, Resulting Numbers: [48, 61]
Generated Node #0,2,3: 49:[48, 61] Operation: 82-21=61
Exploring Operation: 48-21=27, Resulting Numbers: [82, 27]
Generated Node #0,2,4: 49:[82, 27] Operation: 48-21=27
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 49:[48, 61], Operations: ['84/4=21', '82-21=61']
Exploring Operation: 61-48=13, Resulting Numbers: [13]
13,49 unequal: No Solution
Exploring Operation: 48+61=109, Resulting Numbers: [109]
109,49 unequal: No Solution
Exploring Operation: 48*61=2928, Resulting Numbers: [2928]
2928,49 unequal: No Solution
No 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: 49:[21, 34], Operations: ['84/4=21', '82-48=34']
Exploring Operation: 34-21=13, Resulting Numbers: [13]
13,49 unequal: No Solution
Exploring Operation: 21+34=55, Resulting Numbers: [55]
55,49 unequal: No Solution
Exploring Operation: 21*34=714, Resulting Numbers: [714]
714,49 unequal: No Solution
No 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: 49:[82, 69], Operations: ['84/4=21', '48+21=69']
Exploring Operation: 82+69=151, Resulting Numbers: [151]
151,49 unequal: No Solution
Exploring Operation: 82-69=13, Resulting Numbers: [13]
13,49 unequal: No Solution
Exploring Operation: 82*69=5658, Resulting Numbers: [5658]
5658,49 unequal: No Solution
No 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: 49:[82, 27], Operations: ['84/4=21', '48-21=27']
Exploring Operation: 82+27=109, Resulting Numbers: [109]
109,49 unequal: No Solution
Exploring Operation: 82*27=2214, Resulting Numbers: [2214]
2214,49 unequal: No Solution
Exploring Operation: 82-27=55, Resulting Numbers: [55]
55,49 unequal: No Solution
No 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: 49:[48, 103], Operations: ['84/4=21', '82+21=103']
Exploring Operation: 48+103=151, Resulting Numbers: [151]
151,49 unequal: No Solution
Exploring Operation: 103-48=55, Resulting Numbers: [55]
55,49 unequal: No Solution
Exploring Operation: 48*103=4944, Resulting Numbers: [4944]
4944,49 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: 49:[82, 4, 36], Operations: ['84-48=36']
Exploring Operation: 82-4=78, Resulting Numbers: [36, 78]
Generated Node #0,4,0: 49:[36, 78] Operation: 82-4=78
Exploring Operation: 36/4=9, Resulting Numbers: [82, 9]
Generated Node #0,4,1: 49:[82, 9] Operation: 36/4=9
Exploring Operation: 4+36=40, Resulting Numbers: [82, 40]
Generated Node #0,4,2: 49:[82, 40] Operation: 4+36=40
Exploring Operation: 82-36=46, Resulting Numbers: [4, 46]
Generated Node #0,4,3: 49:[4, 46] Operation: 82-36=46
Exploring Operation: 82+4=86, Resulting Numbers: [36, 86]
Generated Node #0,4,4: 49:[36, 86] Operation: 82+4=86
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 49:[4, 46], Operations: ['84-48=36', '82-36=46']
Exploring Operation: 4+46=50, Resulting Numbers: [50]
50,49 unequal: No Solution
Exploring Operation: 4*46=184, Resulting Numbers: [184]
184,49 unequal: No Solution
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,49 unequal: No Solution
No 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: 49:[82, 9], Operations: ['84-48=36', '36/4=9']
Exploring Operation: 82-9=73, Resulting Numbers: [73]
73,49 unequal: No Solution
Exploring Operation: 82*9=738, Resulting Numbers: [738]
738,49 unequal: No Solution
Exploring Operation: 82+9=91, Resulting Numbers: [91]
91,49 unequal: No Solution
No 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: 49:[36, 78], Operations: ['84-48=36', '82-4=78']
Exploring Operation: 36*78=2808, Resulting Numbers: [2808]
2808,49 unequal: No Solution
Exploring Operation: 78-36=42, Resulting Numbers: [42]
42,49 unequal: No Solution
Exploring Operation: 36+78=114, Resulting Numbers: [114]
114,49 unequal: No Solution
No 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: 49:[82, 40], Operations: ['84-48=36', '4+36=40']
Exploring Operation: 82-40=42, Resulting Numbers: [42]
42,49 unequal: No Solution
Exploring Operation: 82+40=122, Resulting Numbers: [122]
122,49 unequal: No Solution
Exploring Operation: 82*40=3280, Resulting Numbers: [3280]
3280,49 unequal: No Solution
No 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: 49:[36, 86], Operations: ['84-48=36', '82+4=86']
Exploring Operation: 86-36=50, Resulting Numbers: [50]
50,49 unequal: No Solution
Exploring Operation: 36+86=122, Resulting Numbers: [122]
122,49 unequal: No Solution
Exploring Operation: 36*86=3096, Resulting Numbers: [3096]
3096,49 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: 49:[84, 4, 34], Operations: ['82-48=34']
Exploring Operation: 84-34=50, Resulting Numbers: [4, 50]
Generated Node #0,1,0: 49:[4, 50] Operation: 84-34=50
Exploring Operation: 84+4=88, Resulting Numbers: [34, 88]
Generated Node #0,1,1: 49:[34, 88] Operation: 84+4=88
Exploring Operation: 4+34=38, Resulting Numbers: [84, 38]
Generated Node #0,1,2: 49:[84, 38] Operation: 4+34=38
Exploring Operation: 84-4=80, Resulting Numbers: [34, 80]
Generated Node #0,1,3: 49:[34, 80] Operation: 84-4=80
Exploring Operation: 84/4=21, Resulting Numbers: [34, 21]
Generated Node #0,1,4: 49:[34, 21] Operation: 84/4=21
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 49:[4, 50], Operations: ['82-48=34', '84-34=50']
Exploring Operation: 4+50=54, Resulting Numbers: [54]
54,49 unequal: No Solution
Exploring Operation: 4*50=200, Resulting Numbers: [200]
200,49 unequal: No Solution
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,49 unequal: No Solution
No 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: 49:[34, 21], Operations: ['82-48=34', '84/4=21']
Exploring Operation: 34*21=714, Resulting Numbers: [714]
714,49 unequal: No Solution
Exploring Operation: 34+21=55, Resulting Numbers: [55]
55,49 unequal: No Solution
Exploring Operation: 34-21=13, Resulting Numbers: [13]
13,49 unequal: No Solution
No 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: 49:[84, 38], Operations: ['82-48=34', '4+34=38']
Exploring Operation: 84*38=3192, Resulting Numbers: [3192]
3192,49 unequal: No Solution
Exploring Operation: 84-38=46, Resulting Numbers: [46]
46,49 unequal: No Solution
Exploring Operation: 84+38=122, Resulting Numbers: [122]
122,49 unequal: No Solution
No 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: 49:[34, 80], Operations: ['82-48=34', '84-4=80']
Exploring Operation: 34*80=2720, Resulting Numbers: [2720]
2720,49 unequal: No Solution
Exploring Operation: 34+80=114, Resulting Numbers: [114]
114,49 unequal: No Solution
Exploring Operation: 80-34=46, Resulting Numbers: [46]
46,49 unequal: No Solution
No 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: 49:[34, 88], Operations: ['82-48=34', '84+4=88']
Exploring Operation: 34+88=122, Resulting Numbers: [122]
122,49 unequal: No Solution
Exploring Operation: 88-34=54, Resulting Numbers: [54]
54,49 unequal: No Solution
Exploring Operation: 34*88=2992, Resulting Numbers: [2992]
2992,49 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: 49:[48, 82, 80], Operations: ['84-4=80']
Exploring Operation: 82-48=34, Resulting Numbers: [80, 34]
Generated Node #0,3,0: 49:[80, 34] Operation: 82-48=34
Exploring Operation: 48+82=130, Resulting Numbers: [80, 130]
Generated Node #0,3,1: 49:[80, 130] Operation: 48+82=130
Exploring Operation: 80-48=32, Resulting Numbers: [82, 32]
Generated Node #0,3,2: 49:[82, 32] Operation: 80-48=32
Exploring Operation: 48+80=128, Resulting Numbers: [82, 128]
Generated Node #0,3,3: 49:[82, 128] Operation: 48+80=128
Exploring Operation: 82-80=2, Resulting Numbers: [48, 2]
Generated Node #0,3,4: 49:[48, 2] Operation: 82-80=2
Moving to Node #0,3,4
Current State: 49:[48, 2], Operations: ['84-4=80', '82-80=2']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,49 unequal: No Solution
Exploring Operation: 48*2=96, Resulting Numbers: [96]
96,49 unequal: No Solution
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,49 unequal: No Solution
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,49 unequal: No Solution
Moving to Node #0,3,0
Current State: 49:[80, 34], Operations: ['84-4=80', '82-48=34']
Exploring Operation: 80+34=114, Resulting Numbers: [114]
114,49 unequal: No Solution
Exploring Operation: 80-34=46, Resulting Numbers: [46]
46,49 unequal: No Solution
Exploring Operation: 80*34=2720, Resulting Numbers: [2720]
2720,49 unequal: No Solution
Moving to Node #0,3,2
Current State: 49:[82, 32], Operations: ['84-4=80', '80-48=32']
Exploring Operation: 82-32=50, Resulting Numbers: [50]
50,49 unequal: No Solution
Exploring Operation: 82+32=114, Resulting Numbers: [114]
114,49 unequal: No Solution
Exploring Operation: 82*32=2624, Resulting Numbers: [2624]
2624,49 unequal: No Solution
Moving to Node #0,3,1
Current State: 49:[80, 130], Operations: ['84-4=80', '48+82=130']
Exploring Operation: 80*130=10400, Resulting Numbers: [10400]
10400,49 unequal: No Solution
Exploring Operation: 80+130=210, Resulting Numbers: [210]
210,49 unequal: No Solution
Exploring Operation: 130-80=50, Resulting Numbers: [50]
50,49 unequal: No Solution
Moving to Node #0,3,3
Current State: 49:[82, 128], Operations: ['84-4=80', '48+80=128']
Exploring Operation: 82+128=210, Resulting Numbers: [210]
210,49 unequal: No Solution
Exploring Operation: 82*128=10496, Resulting Numbers: [10496]
10496,49 unequal: No Solution
Exploring Operation: 128-82=46, Resulting Numbers: [46]
46,49 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 |
[
1,
89,
76,
52
] | 66 | [
"1+89=90",
"76-52=24",
"90-24=66"
] | Current State: 66:[1, 89, 76, 52], Operations: []
Exploring Operation: 1+89=90, Resulting Numbers: [76, 52, 90]
Generated Node #2: [76, 52, 90] from Operation: 1+89=90
Current State: 66:[76, 52, 90], Operations: ['1+89=90']
Exploring Operation: 76-52=24, Resulting Numbers: [90, 24]
Generated Node #3: [90, 24] from Operation: 76-52=24
Current State: 66:[90, 24], Operations: ['1+89=90', '76-52=24']
Exploring Operation: 90-24=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[1, 89, 76, 52], Operations: []
Exploring Operation: 76-52=24, Resulting Numbers: [1, 89, 24]
Generated Node #0,0: 66:[1, 89, 24] Operation: 76-52=24
Exploring Operation: 89-52=37, Resulting Numbers: [1, 76, 37]
Generated Node #0,1: 66:[1, 76, 37] Operation: 89-52=37
Exploring Operation: 89-76=13, Resulting Numbers: [1, 52, 13]
Generated Node #0,2: 66:[1, 52, 13] Operation: 89-76=13
Start Sub Search at level 1: Moving to Node #0,1
Current State: 66:[1, 76, 37], Operations: ['89-52=37']
Exploring Operation: 76-37=39, Resulting Numbers: [1, 39]
Generated Node #0,1,0: 66:[1, 39] Operation: 76-37=39
Exploring Operation: 76-1=75, Resulting Numbers: [37, 75]
Generated Node #0,1,1: 66:[37, 75] Operation: 76-1=75
Exploring Operation: 37-1=36, Resulting Numbers: [76, 36]
Generated Node #0,1,2: 66:[76, 36] Operation: 37-1=36
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 66:[1, 39], Operations: ['89-52=37', '76-37=39']
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,66 unequal: No Solution
Exploring Operation: 39/1=39, Resulting Numbers: [39]
39,66 unequal: No Solution
Exploring Operation: 1*39=39, Resulting Numbers: [39]
39,66 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 #0,1,1
Current State: 66:[37, 75], Operations: ['89-52=37', '76-1=75']
Exploring Operation: 37*75=2775, Resulting Numbers: [2775]
2775,66 unequal: No Solution
Exploring Operation: 75-37=38, Resulting Numbers: [38]
38,66 unequal: No Solution
Exploring Operation: 37+75=112, Resulting Numbers: [112]
112,66 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 #0,1,2
Current State: 66:[76, 36], Operations: ['89-52=37', '37-1=36']
Exploring Operation: 76*36=2736, Resulting Numbers: [2736]
2736,66 unequal: No Solution
Exploring Operation: 76-36=40, Resulting Numbers: [40]
40,66 unequal: No Solution
Exploring Operation: 76+36=112, Resulting Numbers: [112]
112,66 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: 66:[1, 52, 13], Operations: ['89-76=13']
Exploring Operation: 52+13=65, Resulting Numbers: [1, 65]
Generated Node #0,2,0: 66:[1, 65] Operation: 52+13=65
Exploring Operation: 52/13=4, Resulting Numbers: [1, 4]
Generated Node #0,2,1: 66:[1, 4] Operation: 52/13=4
Exploring Operation: 52-13=39, Resulting Numbers: [1, 39]
Generated Node #0,2,2: 66:[1, 39] Operation: 52-13=39
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 66:[1, 65], Operations: ['89-76=13', '52+13=65']
Exploring Operation: 1+65=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[1, 89, 76, 52], Operations: []
Exploring Operation: 89-76=13, Resulting Numbers: [1, 52, 13]
Generated Node #0,2: 66:[1, 52, 13] Operation: 89-76=13
Moving to Node #0,2
Current State: 66:[1, 52, 13], Operations: ['89-76=13']
Exploring Operation: 52+13=65, Resulting Numbers: [1, 65]
Generated Node #0,2,0: 66:[1, 65] Operation: 52+13=65
Moving to Node #0,2,0
Current State: 66:[1, 65], Operations: ['89-76=13', '52+13=65']
Exploring Operation: 1+65=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_3 | sum_heuristic |
[
64,
4,
72,
62
] | 26 | [
"64/4=16",
"72-62=10",
"16+10=26"
] | Current State: 26:[64, 4, 72, 62], Operations: []
Exploring Operation: 64/4=16, Resulting Numbers: [72, 62, 16]
Generated Node #2: [72, 62, 16] from Operation: 64/4=16
Current State: 26:[72, 62, 16], Operations: ['64/4=16']
Exploring Operation: 72-62=10, Resulting Numbers: [16, 10]
Generated Node #3: [16, 10] from Operation: 72-62=10
Current State: 26:[16, 10], Operations: ['64/4=16', '72-62=10']
Exploring Operation: 16+10=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[64, 4, 72, 62], Operations: []
Exploring Operation: 72-64=8, Resulting Numbers: [4, 62, 8]
Generated Node #0,0: 26:[4, 62, 8] Operation: 72-64=8
Exploring Operation: 64-62=2, Resulting Numbers: [4, 72, 2]
Generated Node #0,1: 26:[4, 72, 2] Operation: 64-62=2
Exploring Operation: 72/4=18, Resulting Numbers: [64, 62, 18]
Generated Node #0,2: 26:[64, 62, 18] Operation: 72/4=18
Exploring Operation: 72-62=10, Resulting Numbers: [64, 4, 10]
Generated Node #0,3: 26:[64, 4, 10] Operation: 72-62=10
Moving to Node #0,0
Current State: 26:[4, 62, 8], Operations: ['72-64=8']
Exploring Operation: 62-8=54, Resulting Numbers: [4, 54]
Generated Node #0,0,0: 26:[4, 54] Operation: 62-8=54
Exploring Operation: 4+8=12, Resulting Numbers: [62, 12]
Generated Node #0,0,1: 26:[62, 12] Operation: 4+8=12
Exploring Operation: 62-4=58, Resulting Numbers: [8, 58]
Generated Node #0,0,2: 26:[8, 58] Operation: 62-4=58
Exploring Operation: 8/4=2, Resulting Numbers: [62, 2]
Generated Node #0,0,3: 26:[62, 2] Operation: 8/4=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 26:[4, 54], Operations: ['72-64=8', '62-8=54']
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,26 unequal: No Solution
Exploring Operation: 4*54=216, Resulting Numbers: [216]
216,26 unequal: No Solution
Exploring Operation: 4+54=58, Resulting Numbers: [58]
58,26 unequal: No Solution
No 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: 26:[62, 2], Operations: ['72-64=8', '8/4=2']
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,26 unequal: No Solution
Exploring Operation: 62*2=124, Resulting Numbers: [124]
124,26 unequal: No Solution
Exploring Operation: 62+2=64, Resulting Numbers: [64]
64,26 unequal: No Solution
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,26 unequal: No Solution
No 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: 26:[62, 12], Operations: ['72-64=8', '4+8=12']
Exploring Operation: 62-12=50, Resulting Numbers: [50]
50,26 unequal: No Solution
Exploring Operation: 62+12=74, Resulting Numbers: [74]
74,26 unequal: No Solution
Exploring Operation: 62*12=744, Resulting Numbers: [744]
744,26 unequal: No Solution
No 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: 26:[8, 58], Operations: ['72-64=8', '62-4=58']
Exploring Operation: 8*58=464, Resulting Numbers: [464]
464,26 unequal: No Solution
Exploring Operation: 58-8=50, Resulting Numbers: [50]
50,26 unequal: No Solution
Exploring Operation: 8+58=66, Resulting Numbers: [66]
66,26 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: 26:[64, 4, 10], Operations: ['72-62=10']
Exploring Operation: 4+10=14, Resulting Numbers: [64, 14]
Generated Node #0,3,0: 26:[64, 14] Operation: 4+10=14
Exploring Operation: 64/4=16, Resulting Numbers: [10, 16]
Generated Node #0,3,1: 26:[10, 16] Operation: 64/4=16
Exploring Operation: 64-10=54, Resulting Numbers: [4, 54]
Generated Node #0,3,2: 26:[4, 54] Operation: 64-10=54
Exploring Operation: 64-4=60, Resulting Numbers: [10, 60]
Generated Node #0,3,3: 26:[10, 60] Operation: 64-4=60
Moving to Node #0,1
Current State: 26:[4, 72, 2], Operations: ['64-62=2']
Exploring Operation: 72-4=68, Resulting Numbers: [2, 68]
Generated Node #0,1,0: 26:[2, 68] Operation: 72-4=68
Exploring Operation: 4-2=2, Resulting Numbers: [72, 2]
Generated Node #0,1,1: 26:[72, 2] Operation: 4-2=2
Exploring Operation: 72/4=18, Resulting Numbers: [2, 18]
Generated Node #0,1,2: 26:[2, 18] Operation: 72/4=18
Exploring Operation: 72/2=36, Resulting Numbers: [4, 36]
Generated Node #0,1,3: 26:[4, 36] Operation: 72/2=36
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 26:[2, 18], Operations: ['64-62=2', '72/4=18']
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,26 unequal: No Solution
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,26 unequal: No Solution
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,26 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,26 unequal: No Solution
No 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: 26:[4, 36], Operations: ['64-62=2', '72/2=36']
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,26 unequal: No Solution
Exploring Operation: 4*36=144, Resulting Numbers: [144]
144,26 unequal: No Solution
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,26 unequal: No Solution
Exploring Operation: 4+36=40, Resulting Numbers: [40]
40,26 unequal: No Solution
No 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: 26:[2, 68], Operations: ['64-62=2', '72-4=68']
Exploring Operation: 68-2=66, Resulting Numbers: [66]
66,26 unequal: No Solution
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,26 unequal: No Solution
Exploring Operation: 2+68=70, Resulting Numbers: [70]
70,26 unequal: No Solution
Exploring Operation: 2*68=136, Resulting Numbers: [136]
136,26 unequal: No Solution
No 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: 26:[72, 2], Operations: ['64-62=2', '4-2=2']
Exploring Operation: 72+2=74, Resulting Numbers: [74]
74,26 unequal: No Solution
Exploring Operation: 72*2=144, Resulting Numbers: [144]
144,26 unequal: No Solution
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,26 unequal: No Solution
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,26 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: 26:[64, 62, 18], Operations: ['72/4=18']
Exploring Operation: 64-62=2, Resulting Numbers: [18, 2]
Generated Node #0,2,0: 26:[18, 2] Operation: 64-62=2
Exploring Operation: 64+18=82, Resulting Numbers: [62, 82]
Generated Node #0,2,1: 26:[62, 82] Operation: 64+18=82
Exploring Operation: 64-18=46, Resulting Numbers: [62, 46]
Generated Node #0,2,2: 26:[62, 46] Operation: 64-18=46
Exploring Operation: 62-18=44, Resulting Numbers: [64, 44]
Generated Node #0,2,3: 26:[64, 44] Operation: 62-18=44
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 26:[18, 2], Operations: ['72/4=18', '64-62=2']
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,26 unequal: No Solution
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,26 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,26 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,26 unequal: No Solution
No 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: 26:[62, 46], Operations: ['72/4=18', '64-18=46']
Exploring Operation: 62+46=108, Resulting Numbers: [108]
108,26 unequal: No Solution
Exploring Operation: 62-46=16, Resulting Numbers: [16]
16,26 unequal: No Solution
Exploring Operation: 62*46=2852, Resulting Numbers: [2852]
2852,26 unequal: No Solution
No 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: 26:[64, 44], Operations: ['72/4=18', '62-18=44']
Exploring Operation: 64*44=2816, Resulting Numbers: [2816]
2816,26 unequal: No Solution
Exploring Operation: 64+44=108, Resulting Numbers: [108]
108,26 unequal: No Solution
Exploring Operation: 64-44=20, Resulting Numbers: [20]
20,26 unequal: No Solution
No 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: 26:[62, 82], Operations: ['72/4=18', '64+18=82']
Exploring Operation: 62*82=5084, Resulting Numbers: [5084]
5084,26 unequal: No Solution
Exploring Operation: 62+82=144, Resulting Numbers: [144]
144,26 unequal: No Solution
Exploring Operation: 82-62=20, Resulting Numbers: [20]
20,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,1
Current State: 26:[10, 16], Operations: ['72-62=10', '64/4=16']
Exploring Operation: 10*16=160, Resulting Numbers: [160]
160,26 unequal: No Solution
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,26 unequal: No Solution
Exploring Operation: 10+16=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[64, 4, 72, 62], Operations: []
Exploring Operation: 72-62=10, Resulting Numbers: [64, 4, 10]
Generated Node #0,3: 26:[64, 4, 10] Operation: 72-62=10
Moving to Node #0,3
Current State: 26:[64, 4, 10], Operations: ['72-62=10']
Exploring Operation: 64/4=16, Resulting Numbers: [10, 16]
Generated Node #0,3,1: 26:[10, 16] Operation: 64/4=16
Moving to Node #0,3,1
Current State: 26:[10, 16], Operations: ['72-62=10', '64/4=16']
Exploring Operation: 10+16=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 0.940104 | hs_4 | mult_heuristic |
[
36,
22,
24,
33
] | 51 | [
"24-22=2",
"36/2=18",
"33+18=51"
] | Current State: 51:[36, 22, 24, 33], Operations: []
Exploring Operation: 24-22=2, Resulting Numbers: [36, 33, 2]
Generated Node #2: [36, 33, 2] from Operation: 24-22=2
Current State: 51:[36, 33, 2], Operations: ['24-22=2']
Exploring Operation: 36/2=18, Resulting Numbers: [33, 18]
Generated Node #3: [33, 18] from Operation: 36/2=18
Current State: 51:[33, 18], Operations: ['24-22=2', '36/2=18']
Exploring Operation: 33+18=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[36, 22, 24, 33], Operations: []
Exploring Operation: 36-33=3, Resulting Numbers: [22, 24, 3]
Generated Node #0,0: 51:[22, 24, 3] Operation: 36-33=3
Exploring Operation: 36-24=12, Resulting Numbers: [22, 33, 12]
Generated Node #0,1: 51:[22, 33, 12] Operation: 36-24=12
Exploring Operation: 22+33=55, Resulting Numbers: [36, 24, 55]
Generated Node #0,2: 51:[36, 24, 55] Operation: 22+33=55
Exploring Operation: 36-22=14, Resulting Numbers: [24, 33, 14]
Generated Node #0,3: 51:[24, 33, 14] Operation: 36-22=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[22, 24, 3], Operations: ['36-33=3']
Exploring Operation: 24-3=21, Resulting Numbers: [22, 21]
Generated Node #0,0,0: 51:[22, 21] Operation: 24-3=21
Exploring Operation: 24-22=2, Resulting Numbers: [3, 2]
Generated Node #0,0,1: 51:[3, 2] Operation: 24-22=2
Exploring Operation: 22-3=19, Resulting Numbers: [24, 19]
Generated Node #0,0,2: 51:[24, 19] Operation: 22-3=19
Exploring Operation: 22+24=46, Resulting Numbers: [3, 46]
Generated Node #0,0,3: 51:[3, 46] Operation: 22+24=46
Moving to Node #0,0,1
Current State: 51:[3, 2], Operations: ['36-33=3', '24-22=2']
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,51 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,51 unequal: No Solution
Moving to Node #0,0,3
Current State: 51:[3, 46], Operations: ['36-33=3', '22+24=46']
Exploring Operation: 3+46=49, Resulting Numbers: [49]
49,51 unequal: No Solution
Exploring Operation: 3*46=138, Resulting Numbers: [138]
138,51 unequal: No Solution
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,51 unequal: No Solution
Moving to Node #0,0,2
Current State: 51:[24, 19], Operations: ['36-33=3', '22-3=19']
Exploring Operation: 24*19=456, Resulting Numbers: [456]
456,51 unequal: No Solution
Exploring Operation: 24+19=43, Resulting Numbers: [43]
43,51 unequal: No Solution
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,51 unequal: No Solution
Moving to Node #0,0,0
Current State: 51:[22, 21], Operations: ['36-33=3', '24-3=21']
Exploring Operation: 22+21=43, Resulting Numbers: [43]
43,51 unequal: No Solution
Exploring Operation: 22*21=462, Resulting Numbers: [462]
462,51 unequal: No Solution
Exploring Operation: 22-21=1, Resulting Numbers: [1]
1,51 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 #0,1
Current State: 51:[22, 33, 12], Operations: ['36-24=12']
Exploring Operation: 33-22=11, Resulting Numbers: [12, 11]
Generated Node #0,1,0: 51:[12, 11] Operation: 33-22=11
Exploring Operation: 33+12=45, Resulting Numbers: [22, 45]
Generated Node #0,1,1: 51:[22, 45] Operation: 33+12=45
Exploring Operation: 22+33=55, Resulting Numbers: [12, 55]
Generated Node #0,1,2: 51:[12, 55] Operation: 22+33=55
Exploring Operation: 33-12=21, Resulting Numbers: [22, 21]
Generated Node #0,1,3: 51:[22, 21] Operation: 33-12=21
Moving to Node #0,1,2
Current State: 51:[12, 55], Operations: ['36-24=12', '22+33=55']
Exploring Operation: 12+55=67, Resulting Numbers: [67]
67,51 unequal: No Solution
Exploring Operation: 12*55=660, Resulting Numbers: [660]
660,51 unequal: No Solution
Exploring Operation: 55-12=43, Resulting Numbers: [43]
43,51 unequal: No Solution
Moving to Node #0,1,3
Current State: 51:[22, 21], Operations: ['36-24=12', '33-12=21']
Exploring Operation: 22-21=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 22*21=462, Resulting Numbers: [462]
462,51 unequal: No Solution
Exploring Operation: 22+21=43, Resulting Numbers: [43]
43,51 unequal: No Solution
Moving to Node #0,1,1
Current State: 51:[22, 45], Operations: ['36-24=12', '33+12=45']
Exploring Operation: 45-22=23, Resulting Numbers: [23]
23,51 unequal: No Solution
Exploring Operation: 22+45=67, Resulting Numbers: [67]
67,51 unequal: No Solution
Exploring Operation: 22*45=990, Resulting Numbers: [990]
990,51 unequal: No Solution
Moving to Node #0,1,0
Current State: 51:[12, 11], Operations: ['36-24=12', '33-22=11']
Exploring Operation: 12*11=132, Resulting Numbers: [132]
132,51 unequal: No Solution
Exploring Operation: 12+11=23, Resulting Numbers: [23]
23,51 unequal: No Solution
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[36, 24, 55], Operations: ['22+33=55']
Exploring Operation: 55-24=31, Resulting Numbers: [36, 31]
Generated Node #0,2,0: 51:[36, 31] Operation: 55-24=31
Exploring Operation: 36+24=60, Resulting Numbers: [55, 60]
Generated Node #0,2,1: 51:[55, 60] Operation: 36+24=60
Exploring Operation: 55-36=19, Resulting Numbers: [24, 19]
Generated Node #0,2,2: 51:[24, 19] Operation: 55-36=19
Exploring Operation: 36-24=12, Resulting Numbers: [55, 12]
Generated Node #0,2,3: 51:[55, 12] Operation: 36-24=12
Moving to Node #0,2,2
Current State: 51:[24, 19], Operations: ['22+33=55', '55-36=19']
Exploring Operation: 24*19=456, Resulting Numbers: [456]
456,51 unequal: No Solution
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,51 unequal: No Solution
Exploring Operation: 24+19=43, Resulting Numbers: [43]
43,51 unequal: No Solution
Moving to Node #0,2,3
Current State: 51:[55, 12], Operations: ['22+33=55', '36-24=12']
Exploring Operation: 55-12=43, Resulting Numbers: [43]
43,51 unequal: No Solution
Exploring Operation: 55*12=660, Resulting Numbers: [660]
660,51 unequal: No Solution
Exploring Operation: 55+12=67, Resulting Numbers: [67]
67,51 unequal: No Solution
Moving to Node #0,2,1
Current State: 51:[55, 60], Operations: ['22+33=55', '36+24=60']
Exploring Operation: 55+60=115, Resulting Numbers: [115]
115,51 unequal: No Solution
Exploring Operation: 60-55=5, Resulting Numbers: [5]
5,51 unequal: No Solution
Exploring Operation: 55*60=3300, Resulting Numbers: [3300]
3300,51 unequal: No Solution
Moving to Node #0,2,0
Current State: 51:[36, 31], Operations: ['22+33=55', '55-24=31']
Exploring Operation: 36-31=5, Resulting Numbers: [5]
5,51 unequal: No Solution
Exploring Operation: 36*31=1116, Resulting Numbers: [1116]
1116,51 unequal: No Solution
Exploring Operation: 36+31=67, Resulting Numbers: [67]
67,51 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 #0,3
Current State: 51:[24, 33, 14], Operations: ['36-22=14']
Exploring Operation: 33-14=19, Resulting Numbers: [24, 19]
Generated Node #0,3,0: 51:[24, 19] Operation: 33-14=19
Exploring Operation: 24+33=57, Resulting Numbers: [14, 57]
Generated Node #0,3,1: 51:[14, 57] Operation: 24+33=57
Exploring Operation: 33+14=47, Resulting Numbers: [24, 47]
Generated Node #0,3,2: 51:[24, 47] Operation: 33+14=47
Exploring Operation: 33-24=9, Resulting Numbers: [14, 9]
Generated Node #0,3,3: 51:[14, 9] Operation: 33-24=9
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 51:[24, 19], Operations: ['36-22=14', '33-14=19']
Exploring Operation: 24+19=43, Resulting Numbers: [43]
43,51 unequal: No Solution
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,51 unequal: No Solution
Exploring Operation: 24*19=456, Resulting Numbers: [456]
456,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 51:[14, 57], Operations: ['36-22=14', '24+33=57']
Exploring Operation: 14*57=798, Resulting Numbers: [798]
798,51 unequal: No Solution
Exploring Operation: 14+57=71, Resulting Numbers: [71]
71,51 unequal: No Solution
Exploring Operation: 57-14=43, Resulting Numbers: [43]
43,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 51:[14, 9], Operations: ['36-22=14', '33-24=9']
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,51 unequal: No Solution
Exploring Operation: 14*9=126, Resulting Numbers: [126]
126,51 unequal: No Solution
Exploring Operation: 14+9=23, Resulting Numbers: [23]
23,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 51:[24, 47], Operations: ['36-22=14', '33+14=47']
Exploring Operation: 24*47=1128, Resulting Numbers: [1128]
1128,51 unequal: No Solution
Exploring Operation: 24+47=71, Resulting Numbers: [71]
71,51 unequal: No Solution
Exploring Operation: 47-24=23, Resulting Numbers: [23]
23,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
18,
37,
10,
93
] | 97 | [
"37-18=19",
"10*19=190",
"190-93=97"
] | Current State: 97:[18, 37, 10, 93], Operations: []
Exploring Operation: 37-18=19, Resulting Numbers: [10, 93, 19]
Generated Node #2: [10, 93, 19] from Operation: 37-18=19
Current State: 97:[10, 93, 19], Operations: ['37-18=19']
Exploring Operation: 10*19=190, Resulting Numbers: [93, 190]
Generated Node #3: [93, 190] from Operation: 10*19=190
Current State: 97:[93, 190], Operations: ['37-18=19', '10*19=190']
Exploring Operation: 190-93=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[18, 37, 10, 93], Operations: []
Exploring Operation: 18+37=55, Resulting Numbers: [10, 93, 55]
Generated Node #0,0: 97:[10, 93, 55] Operation: 18+37=55
Exploring Operation: 18+10=28, Resulting Numbers: [37, 93, 28]
Generated Node #0,1: 97:[37, 93, 28] Operation: 18+10=28
Exploring Operation: 37+10=47, Resulting Numbers: [18, 93, 47]
Generated Node #0,2: 97:[18, 93, 47] Operation: 37+10=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[10, 93, 55], Operations: ['18+37=55']
Exploring Operation: 10+93=103, Resulting Numbers: [55, 103]
Generated Node #0,0,0: 97:[55, 103] Operation: 10+93=103
Exploring Operation: 10+55=65, Resulting Numbers: [93, 65]
Generated Node #0,0,1: 97:[93, 65] Operation: 10+55=65
Exploring Operation: 93-10=83, Resulting Numbers: [55, 83]
Generated Node #0,0,2: 97:[55, 83] Operation: 93-10=83
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 97:[93, 65], Operations: ['18+37=55', '10+55=65']
Exploring Operation: 93*65=6045, Resulting Numbers: [6045]
6045,97 unequal: No Solution
Exploring Operation: 93-65=28, Resulting Numbers: [28]
28,97 unequal: No Solution
Exploring Operation: 93+65=158, Resulting Numbers: [158]
158,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[55, 103], Operations: ['18+37=55', '10+93=103']
Exploring Operation: 103-55=48, Resulting Numbers: [48]
48,97 unequal: No Solution
Exploring Operation: 55*103=5665, Resulting Numbers: [5665]
5665,97 unequal: No Solution
Exploring Operation: 55+103=158, Resulting Numbers: [158]
158,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 97:[55, 83], Operations: ['18+37=55', '93-10=83']
Exploring Operation: 83-55=28, Resulting Numbers: [28]
28,97 unequal: No Solution
Exploring Operation: 55+83=138, Resulting Numbers: [138]
138,97 unequal: No Solution
Exploring Operation: 55*83=4565, Resulting Numbers: [4565]
4565,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[37, 93, 28], Operations: ['18+10=28']
Exploring Operation: 37-28=9, Resulting Numbers: [93, 9]
Generated Node #0,1,0: 97:[93, 9] Operation: 37-28=9
Exploring Operation: 93+28=121, Resulting Numbers: [37, 121]
Generated Node #0,1,1: 97:[37, 121] Operation: 93+28=121
Exploring Operation: 37+28=65, Resulting Numbers: [93, 65]
Generated Node #0,1,2: 97:[93, 65] Operation: 37+28=65
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 97:[93, 65], Operations: ['18+10=28', '37+28=65']
Exploring Operation: 93*65=6045, Resulting Numbers: [6045]
6045,97 unequal: No Solution
Exploring Operation: 93+65=158, Resulting Numbers: [158]
158,97 unequal: No Solution
Exploring Operation: 93-65=28, Resulting Numbers: [28]
28,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 97:[37, 121], Operations: ['18+10=28', '93+28=121']
Exploring Operation: 37+121=158, Resulting Numbers: [158]
158,97 unequal: No Solution
Exploring Operation: 121-37=84, Resulting Numbers: [84]
84,97 unequal: No Solution
Exploring Operation: 37*121=4477, Resulting Numbers: [4477]
4477,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 97:[93, 9], Operations: ['18+10=28', '37-28=9']
Exploring Operation: 93+9=102, Resulting Numbers: [102]
102,97 unequal: No Solution
Exploring Operation: 93*9=837, Resulting Numbers: [837]
837,97 unequal: No Solution
Exploring Operation: 93-9=84, Resulting Numbers: [84]
84,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 97:[18, 93, 47], Operations: ['37+10=47']
Exploring Operation: 18+93=111, Resulting Numbers: [47, 111]
Generated Node #0,2,0: 97:[47, 111] Operation: 18+93=111
Exploring Operation: 93-18=75, Resulting Numbers: [47, 75]
Generated Node #0,2,1: 97:[47, 75] Operation: 93-18=75
Exploring Operation: 18+47=65, Resulting Numbers: [93, 65]
Generated Node #0,2,2: 97:[93, 65] Operation: 18+47=65
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 97:[93, 65], Operations: ['37+10=47', '18+47=65']
Exploring Operation: 93-65=28, Resulting Numbers: [28]
28,97 unequal: No Solution
Exploring Operation: 93+65=158, Resulting Numbers: [158]
158,97 unequal: No Solution
Exploring Operation: 93*65=6045, Resulting Numbers: [6045]
6045,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 97:[47, 111], Operations: ['37+10=47', '18+93=111']
Exploring Operation: 111-47=64, Resulting Numbers: [64]
64,97 unequal: No Solution
Exploring Operation: 47+111=158, Resulting Numbers: [158]
158,97 unequal: No Solution
Exploring Operation: 47*111=5217, Resulting Numbers: [5217]
5217,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 97:[47, 75], Operations: ['37+10=47', '93-18=75']
Exploring Operation: 75-47=28, Resulting Numbers: [28]
28,97 unequal: No Solution
Exploring Operation: 47+75=122, Resulting Numbers: [122]
122,97 unequal: No Solution
Exploring Operation: 47*75=3525, Resulting Numbers: [3525]
3525,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
94,
18,
61,
52
] | 85 | [
"94-18=76",
"61-52=9",
"76+9=85"
] | Current State: 85:[94, 18, 61, 52], Operations: []
Exploring Operation: 94-18=76, Resulting Numbers: [61, 52, 76]
Generated Node #2: [61, 52, 76] from Operation: 94-18=76
Current State: 85:[61, 52, 76], Operations: ['94-18=76']
Exploring Operation: 61-52=9, Resulting Numbers: [76, 9]
Generated Node #3: [76, 9] from Operation: 61-52=9
Current State: 85:[76, 9], Operations: ['94-18=76', '61-52=9']
Exploring Operation: 76+9=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[94, 18, 61, 52], Operations: []
Exploring Operation: 18+61=79, Resulting Numbers: [94, 52, 79]
Generated Node #0,0: 85:[94, 52, 79] Operation: 18+61=79
Exploring Operation: 61-52=9, Resulting Numbers: [94, 18, 9]
Generated Node #0,1: 85:[94, 18, 9] Operation: 61-52=9
Exploring Operation: 18+52=70, Resulting Numbers: [94, 61, 70]
Generated Node #0,2: 85:[94, 61, 70] Operation: 18+52=70
Exploring Operation: 61+52=113, Resulting Numbers: [94, 18, 113]
Generated Node #0,3: 85:[94, 18, 113] Operation: 61+52=113
Moving to Node #0,1
Current State: 85:[94, 18, 9], Operations: ['61-52=9']
Exploring Operation: 94-18=76, Resulting Numbers: [9, 76]
Generated Node #0,1,0: 85:[9, 76] Operation: 94-18=76
Exploring Operation: 94-9=85, Resulting Numbers: [18, 85]
Generated Node #0,1,1: 85:[18, 85] Operation: 94-9=85
Exploring Operation: 18/9=2, Resulting Numbers: [94, 2]
Generated Node #0,1,2: 85:[94, 2] Operation: 18/9=2
Exploring Operation: 18-9=9, Resulting Numbers: [94, 9]
Generated Node #0,1,3: 85:[94, 9] Operation: 18-9=9
Moving to Node #0,3
Current State: 85:[94, 18, 113], Operations: ['61+52=113']
Exploring Operation: 94+18=112, Resulting Numbers: [113, 112]
Generated Node #0,3,0: 85:[113, 112] Operation: 94+18=112
Exploring Operation: 94-18=76, Resulting Numbers: [113, 76]
Generated Node #0,3,1: 85:[113, 76] Operation: 94-18=76
Exploring Operation: 113-18=95, Resulting Numbers: [94, 95]
Generated Node #0,3,2: 85:[94, 95] Operation: 113-18=95
Exploring Operation: 113-94=19, Resulting Numbers: [18, 19]
Generated Node #0,3,3: 85:[18, 19] Operation: 113-94=19
Moving to Node #0,2
Current State: 85:[94, 61, 70], Operations: ['18+52=70']
Exploring Operation: 94-61=33, Resulting Numbers: [70, 33]
Generated Node #0,2,0: 85:[70, 33] Operation: 94-61=33
Exploring Operation: 61+70=131, Resulting Numbers: [94, 131]
Generated Node #0,2,1: 85:[94, 131] Operation: 61+70=131
Exploring Operation: 94-70=24, Resulting Numbers: [61, 24]
Generated Node #0,2,2: 85:[61, 24] Operation: 94-70=24
Exploring Operation: 70-61=9, Resulting Numbers: [94, 9]
Generated Node #0,2,3: 85:[94, 9] Operation: 70-61=9
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 85:[94, 9], Operations: ['18+52=70', '70-61=9']
Exploring Operation: 94*9=846, Resulting Numbers: [846]
846,85 unequal: No Solution
Exploring Operation: 94-9=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[94, 18, 61, 52], Operations: []
Exploring Operation: 18+52=70, Resulting Numbers: [94, 61, 70]
Generated Node #0,2: 85:[94, 61, 70] Operation: 18+52=70
Moving to Node #0,2
Current State: 85:[94, 61, 70], Operations: ['18+52=70']
Exploring Operation: 70-61=9, Resulting Numbers: [94, 9]
Generated Node #0,2,3: 85:[94, 9] Operation: 70-61=9
Moving to Node #0,2,3
Current State: 85:[94, 9], Operations: ['18+52=70', '70-61=9']
Exploring Operation: 94-9=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_4 | mult_heuristic |
[
92,
35,
80,
55
] | 32 | [
"92-35=57",
"80-55=25",
"57-25=32"
] | Current State: 32:[92, 35, 80, 55], Operations: []
Exploring Operation: 92-35=57, Resulting Numbers: [80, 55, 57]
Generated Node #2: [80, 55, 57] from Operation: 92-35=57
Current State: 32:[80, 55, 57], Operations: ['92-35=57']
Exploring Operation: 80-55=25, Resulting Numbers: [57, 25]
Generated Node #3: [57, 25] from Operation: 80-55=25
Current State: 32:[57, 25], Operations: ['92-35=57', '80-55=25']
Exploring Operation: 57-25=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[92, 35, 80, 55], Operations: []
Exploring Operation: 92-55=37, Resulting Numbers: [35, 80, 37]
Generated Node #0,0: 32:[35, 80, 37] Operation: 92-55=37
Exploring Operation: 80-55=25, Resulting Numbers: [92, 35, 25]
Generated Node #0,1: 32:[92, 35, 25] Operation: 80-55=25
Exploring Operation: 92-80=12, Resulting Numbers: [35, 55, 12]
Generated Node #0,2: 32:[35, 55, 12] Operation: 92-80=12
Moving to Node #0,2
Current State: 32:[35, 55, 12], Operations: ['92-80=12']
Exploring Operation: 55-35=20, Resulting Numbers: [12, 20]
Generated Node #0,2,0: 32:[12, 20] Operation: 55-35=20
Exploring Operation: 55-12=43, Resulting Numbers: [35, 43]
Generated Node #0,2,1: 32:[35, 43] Operation: 55-12=43
Exploring Operation: 35-12=23, Resulting Numbers: [55, 23]
Generated Node #0,2,2: 32:[55, 23] Operation: 35-12=23
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 32:[12, 20], Operations: ['92-80=12', '55-35=20']
Exploring Operation: 12*20=240, Resulting Numbers: [240]
240,32 unequal: No Solution
Exploring Operation: 20-12=8, Resulting Numbers: [8]
8,32 unequal: No Solution
Exploring Operation: 12+20=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[92, 35, 80, 55], Operations: []
Exploring Operation: 92-80=12, Resulting Numbers: [35, 55, 12]
Generated Node #0,2: 32:[35, 55, 12] Operation: 92-80=12
Moving to Node #0,2
Current State: 32:[35, 55, 12], Operations: ['92-80=12']
Exploring Operation: 55-35=20, Resulting Numbers: [12, 20]
Generated Node #0,2,0: 32:[12, 20] Operation: 55-35=20
Moving to Node #0,2,0
Current State: 32:[12, 20], Operations: ['92-80=12', '55-35=20']
Exploring Operation: 12+20=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
63,
27,
9,
20
] | 81 | [
"63*9=567",
"27-20=7",
"567/7=81"
] | Current State: 81:[63, 27, 9, 20], Operations: []
Exploring Operation: 63*9=567, Resulting Numbers: [27, 20, 567]
Generated Node #2: [27, 20, 567] from Operation: 63*9=567
Current State: 81:[27, 20, 567], Operations: ['63*9=567']
Exploring Operation: 27-20=7, Resulting Numbers: [567, 7]
Generated Node #3: [567, 7] from Operation: 27-20=7
Current State: 81:[567, 7], Operations: ['63*9=567', '27-20=7']
Exploring Operation: 567/7=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[63, 27, 9, 20], Operations: []
Exploring Operation: 63-27=36, Resulting Numbers: [9, 20, 36]
Generated Node #0,0: 81:[9, 20, 36] Operation: 63-27=36
Exploring Operation: 63/9=7, Resulting Numbers: [27, 20, 7]
Generated Node #0,1: 81:[27, 20, 7] Operation: 63/9=7
Exploring Operation: 63+27=90, Resulting Numbers: [9, 20, 90]
Generated Node #0,2: 81:[9, 20, 90] Operation: 63+27=90
Exploring Operation: 63+20=83, Resulting Numbers: [27, 9, 83]
Generated Node #0,3: 81:[27, 9, 83] Operation: 63+20=83
Moving to Node #0,3
Current State: 81:[27, 9, 83], Operations: ['63+20=83']
Exploring Operation: 27-9=18, Resulting Numbers: [83, 18]
Generated Node #0,3,0: 81:[83, 18] Operation: 27-9=18
Exploring Operation: 27+9=36, Resulting Numbers: [83, 36]
Generated Node #0,3,1: 81:[83, 36] Operation: 27+9=36
Exploring Operation: 27/9=3, Resulting Numbers: [83, 3]
Generated Node #0,3,2: 81:[83, 3] Operation: 27/9=3
Exploring Operation: 83-9=74, Resulting Numbers: [27, 74]
Generated Node #0,3,3: 81:[27, 74] Operation: 83-9=74
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 81:[83, 3], Operations: ['63+20=83', '27/9=3']
Exploring Operation: 83+3=86, Resulting Numbers: [86]
86,81 unequal: No Solution
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,81 unequal: No Solution
Exploring Operation: 83*3=249, Resulting Numbers: [249]
249,81 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 #0,3,3
Current State: 81:[27, 74], Operations: ['63+20=83', '83-9=74']
Exploring Operation: 27+74=101, Resulting Numbers: [101]
101,81 unequal: No Solution
Exploring Operation: 27*74=1998, Resulting Numbers: [1998]
1998,81 unequal: No Solution
Exploring Operation: 74-27=47, Resulting Numbers: [47]
47,81 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 #0,3,0
Current State: 81:[83, 18], Operations: ['63+20=83', '27-9=18']
Exploring Operation: 83+18=101, Resulting Numbers: [101]
101,81 unequal: No Solution
Exploring Operation: 83-18=65, Resulting Numbers: [65]
65,81 unequal: No Solution
Exploring Operation: 83*18=1494, Resulting Numbers: [1494]
1494,81 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 #0,3,1
Current State: 81:[83, 36], Operations: ['63+20=83', '27+9=36']
Exploring Operation: 83+36=119, Resulting Numbers: [119]
119,81 unequal: No Solution
Exploring Operation: 83*36=2988, Resulting Numbers: [2988]
2988,81 unequal: No Solution
Exploring Operation: 83-36=47, Resulting Numbers: [47]
47,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 81:[27, 20, 7], Operations: ['63/9=7']
Exploring Operation: 27+7=34, Resulting Numbers: [20, 34]
Generated Node #0,1,0: 81:[20, 34] Operation: 27+7=34
Exploring Operation: 20+7=27, Resulting Numbers: [27, 27]
Generated Node #0,1,1: 81:[27, 27] Operation: 20+7=27
Exploring Operation: 27-20=7, Resulting Numbers: [7, 7]
Generated Node #0,1,2: 81:[7, 7] Operation: 27-20=7
Exploring Operation: 20-7=13, Resulting Numbers: [27, 13]
Generated Node #0,1,3: 81:[27, 13] Operation: 20-7=13
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 81:[27, 27], Operations: ['63/9=7', '20+7=27']
Exploring Operation: 27-27=0, Resulting Numbers: [0]
0,81 unequal: No Solution
Exploring Operation: 27*27=729, Resulting Numbers: [729]
729,81 unequal: No Solution
Exploring Operation: 27+27=54, Resulting Numbers: [54]
54,81 unequal: No Solution
Exploring Operation: 27/27=1, Resulting Numbers: [1]
1,81 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 #0,1,2
Current State: 81:[7, 7], Operations: ['63/9=7', '27-20=7']
Exploring Operation: 7+7=14, Resulting Numbers: [14]
14,81 unequal: No Solution
Exploring Operation: 7/7=1, Resulting Numbers: [1]
1,81 unequal: No Solution
Exploring Operation: 7-7=0, Resulting Numbers: [0]
0,81 unequal: No Solution
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,81 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 #0,1,3
Current State: 81:[27, 13], Operations: ['63/9=7', '20-7=13']
Exploring Operation: 27+13=40, Resulting Numbers: [40]
40,81 unequal: No Solution
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,81 unequal: No Solution
Exploring Operation: 27*13=351, Resulting Numbers: [351]
351,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 81:[20, 34], Operations: ['63/9=7', '27+7=34']
Exploring Operation: 20*34=680, Resulting Numbers: [680]
680,81 unequal: No Solution
Exploring Operation: 34-20=14, Resulting Numbers: [14]
14,81 unequal: No Solution
Exploring Operation: 20+34=54, Resulting Numbers: [54]
54,81 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: 81:[9, 20, 90], Operations: ['63+27=90']
Exploring Operation: 9+20=29, Resulting Numbers: [90, 29]
Generated Node #0,2,0: 81:[90, 29] Operation: 9+20=29
Exploring Operation: 90/9=10, Resulting Numbers: [20, 10]
Generated Node #0,2,1: 81:[20, 10] Operation: 90/9=10
Exploring Operation: 20-9=11, Resulting Numbers: [90, 11]
Generated Node #0,2,2: 81:[90, 11] Operation: 20-9=11
Exploring Operation: 90-9=81, Resulting Numbers: [20, 81]
Generated Node #0,2,3: 81:[20, 81] Operation: 90-9=81
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 81:[20, 81], Operations: ['63+27=90', '90-9=81']
Exploring Operation: 81-20=61, Resulting Numbers: [61]
61,81 unequal: No Solution
Exploring Operation: 20*81=1620, Resulting Numbers: [1620]
1620,81 unequal: No Solution
Exploring Operation: 20+81=101, Resulting Numbers: [101]
101,81 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 #0,2,1
Current State: 81:[20, 10], Operations: ['63+27=90', '90/9=10']
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,81 unequal: No Solution
Exploring Operation: 20*10=200, Resulting Numbers: [200]
200,81 unequal: No Solution
Exploring Operation: 20+10=30, Resulting Numbers: [30]
30,81 unequal: No Solution
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,81 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 #0,2,0
Current State: 81:[90, 29], Operations: ['63+27=90', '9+20=29']
Exploring Operation: 90-29=61, Resulting Numbers: [61]
61,81 unequal: No Solution
Exploring Operation: 90*29=2610, Resulting Numbers: [2610]
2610,81 unequal: No Solution
Exploring Operation: 90+29=119, Resulting Numbers: [119]
119,81 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 #0,2,2
Current State: 81:[90, 11], Operations: ['63+27=90', '20-9=11']
Exploring Operation: 90-11=79, Resulting Numbers: [79]
79,81 unequal: No Solution
Exploring Operation: 90+11=101, Resulting Numbers: [101]
101,81 unequal: No Solution
Exploring Operation: 90*11=990, Resulting Numbers: [990]
990,81 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: 81:[9, 20, 36], Operations: ['63-27=36']
Exploring Operation: 36-20=16, Resulting Numbers: [9, 16]
Generated Node #0,0,0: 81:[9, 16] Operation: 36-20=16
Exploring Operation: 9+20=29, Resulting Numbers: [36, 29]
Generated Node #0,0,1: 81:[36, 29] Operation: 9+20=29
Exploring Operation: 36/9=4, Resulting Numbers: [20, 4]
Generated Node #0,0,2: 81:[20, 4] Operation: 36/9=4
Exploring Operation: 36-9=27, Resulting Numbers: [20, 27]
Generated Node #0,0,3: 81:[20, 27] Operation: 36-9=27
Moving to Node #0,0,0
Current State: 81:[9, 16], Operations: ['63-27=36', '36-20=16']
Exploring Operation: 9+16=25, Resulting Numbers: [25]
25,81 unequal: No Solution
Exploring Operation: 9*16=144, Resulting Numbers: [144]
144,81 unequal: No Solution
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,81 unequal: No Solution
Moving to Node #0,0,3
Current State: 81:[20, 27], Operations: ['63-27=36', '36-9=27']
Exploring Operation: 27-20=7, Resulting Numbers: [7]
7,81 unequal: No Solution
Exploring Operation: 20*27=540, Resulting Numbers: [540]
540,81 unequal: No Solution
Exploring Operation: 20+27=47, Resulting Numbers: [47]
47,81 unequal: No Solution
Moving to Node #0,0,2
Current State: 81:[20, 4], Operations: ['63-27=36', '36/9=4']
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,81 unequal: No Solution
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,81 unequal: No Solution
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,81 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,81 unequal: No Solution
Moving to Node #0,0,1
Current State: 81:[36, 29], Operations: ['63-27=36', '9+20=29']
Exploring Operation: 36+29=65, Resulting Numbers: [65]
65,81 unequal: No Solution
Exploring Operation: 36*29=1044, Resulting Numbers: [1044]
1044,81 unequal: No Solution
Exploring Operation: 36-29=7, Resulting Numbers: [7]
7,81 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
59,
48,
32,
4
] | 99 | [
"59+48=107",
"32/4=8",
"107-8=99"
] | Current State: 99:[59, 48, 32, 4], Operations: []
Exploring Operation: 59+48=107, Resulting Numbers: [32, 4, 107]
Generated Node #2: [32, 4, 107] from Operation: 59+48=107
Current State: 99:[32, 4, 107], Operations: ['59+48=107']
Exploring Operation: 32/4=8, Resulting Numbers: [107, 8]
Generated Node #3: [107, 8] from Operation: 32/4=8
Current State: 99:[107, 8], Operations: ['59+48=107', '32/4=8']
Exploring Operation: 107-8=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[59, 48, 32, 4], Operations: []
Exploring Operation: 59+48=107, Resulting Numbers: [32, 4, 107]
Generated Node #0,0: 99:[32, 4, 107] Operation: 59+48=107
Exploring Operation: 59-48=11, Resulting Numbers: [32, 4, 11]
Generated Node #0,1: 99:[32, 4, 11] Operation: 59-48=11
Start Sub Search at level 1: Moving to Node #0,1
Current State: 99:[32, 4, 11], Operations: ['59-48=11']
Exploring Operation: 32+4=36, Resulting Numbers: [11, 36]
Generated Node #0,1,0: 99:[11, 36] Operation: 32+4=36
Exploring Operation: 32/4=8, Resulting Numbers: [11, 8]
Generated Node #0,1,1: 99:[11, 8] Operation: 32/4=8
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 99:[11, 8], Operations: ['59-48=11', '32/4=8']
Exploring Operation: 11+8=19, Resulting Numbers: [19]
19,99 unequal: No Solution
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 99:[11, 36], Operations: ['59-48=11', '32+4=36']
Exploring Operation: 11+36=47, Resulting Numbers: [47]
47,99 unequal: No Solution
Exploring Operation: 36-11=25, Resulting Numbers: [25]
25,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[32, 4, 107], Operations: ['59+48=107']
Exploring Operation: 107-4=103, Resulting Numbers: [32, 103]
Generated Node #0,0,0: 99:[32, 103] Operation: 107-4=103
Exploring Operation: 32/4=8, Resulting Numbers: [107, 8]
Generated Node #0,0,1: 99:[107, 8] Operation: 32/4=8
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 99:[32, 103], Operations: ['59+48=107', '107-4=103']
Exploring Operation: 32+103=135, Resulting Numbers: [135]
135,99 unequal: No Solution
Exploring Operation: 103-32=71, Resulting Numbers: [71]
71,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 99:[107, 8], Operations: ['59+48=107', '32/4=8']
Exploring Operation: 107+8=115, Resulting Numbers: [115]
115,99 unequal: No Solution
Exploring Operation: 107-8=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[59, 48, 32, 4], Operations: []
Exploring Operation: 59+48=107, Resulting Numbers: [32, 4, 107]
Generated Node #0,0: 99:[32, 4, 107] Operation: 59+48=107
Moving to Node #0,0
Current State: 99:[32, 4, 107], Operations: ['59+48=107']
Exploring Operation: 32/4=8, Resulting Numbers: [107, 8]
Generated Node #0,0,1: 99:[107, 8] Operation: 32/4=8
Moving to Node #0,0,1
Current State: 99:[107, 8], Operations: ['59+48=107', '32/4=8']
Exploring Operation: 107-8=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_2 | mult_heuristic |
[
70,
7,
8,
56
] | 54 | [
"70/7=10",
"8+56=64",
"64-10=54"
] | Current State: 54:[70, 7, 8, 56], Operations: []
Exploring Operation: 70/7=10, Resulting Numbers: [8, 56, 10]
Generated Node #2: [8, 56, 10] from Operation: 70/7=10
Current State: 54:[8, 56, 10], Operations: ['70/7=10']
Exploring Operation: 8+56=64, Resulting Numbers: [10, 64]
Generated Node #3: [10, 64] from Operation: 8+56=64
Current State: 54:[10, 64], Operations: ['70/7=10', '8+56=64']
Exploring Operation: 64-10=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[70, 7, 8, 56], Operations: []
Exploring Operation: 70/7=10, Resulting Numbers: [8, 56, 10]
Generated Node #0,0: 54:[8, 56, 10] Operation: 70/7=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[8, 56, 10], Operations: ['70/7=10']
Exploring Operation: 56/8=7, Resulting Numbers: [10, 7]
Generated Node #0,0,0: 54:[10, 7] Operation: 56/8=7
Moving to Node #0,0,0
Current State: 54:[10, 7], Operations: ['70/7=10', '56/8=7']
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
99,
90,
66,
2
] | 84 | [
"99-90=9",
"2*9=18",
"66+18=84"
] | Current State: 84:[99, 90, 66, 2], Operations: []
Exploring Operation: 99-90=9, Resulting Numbers: [66, 2, 9]
Generated Node #2: [66, 2, 9] from Operation: 99-90=9
Current State: 84:[66, 2, 9], Operations: ['99-90=9']
Exploring Operation: 2*9=18, Resulting Numbers: [66, 18]
Generated Node #3: [66, 18] from Operation: 2*9=18
Current State: 84:[66, 18], Operations: ['99-90=9', '2*9=18']
Exploring Operation: 66+18=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[99, 90, 66, 2], Operations: []
Exploring Operation: 90-66=24, Resulting Numbers: [99, 2, 24]
Generated Node #0,0: 84:[99, 2, 24] Operation: 90-66=24
Exploring Operation: 99-66=33, Resulting Numbers: [90, 2, 33]
Generated Node #0,1: 84:[90, 2, 33] Operation: 99-66=33
Moving to Node #0,1
Current State: 84:[90, 2, 33], Operations: ['99-66=33']
Exploring Operation: 90-2=88, Resulting Numbers: [33, 88]
Generated Node #0,1,0: 84:[33, 88] Operation: 90-2=88
Exploring Operation: 90/2=45, Resulting Numbers: [33, 45]
Generated Node #0,1,1: 84:[33, 45] Operation: 90/2=45
Moving to Node #0,0
Current State: 84:[99, 2, 24], Operations: ['90-66=24']
Exploring Operation: 24/2=12, Resulting Numbers: [99, 12]
Generated Node #0,0,0: 84:[99, 12] Operation: 24/2=12
Exploring Operation: 99-24=75, Resulting Numbers: [2, 75]
Generated Node #0,0,1: 84:[2, 75] Operation: 99-24=75
Moving to Node #0,1,1
Current State: 84:[33, 45], Operations: ['99-66=33', '90/2=45']
Exploring Operation: 33+45=78, Resulting Numbers: [78]
78,84 unequal: No Solution
Exploring Operation: 45-33=12, Resulting Numbers: [12]
12,84 unequal: No Solution
Moving to Node #0,0,1
Current State: 84:[2, 75], Operations: ['90-66=24', '99-24=75']
Exploring Operation: 2+75=77, Resulting Numbers: [77]
77,84 unequal: No Solution
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,84 unequal: No Solution
Moving to Node #0,1,0
Current State: 84:[33, 88], Operations: ['99-66=33', '90-2=88']
Exploring Operation: 88-33=55, Resulting Numbers: [55]
55,84 unequal: No Solution
Exploring Operation: 33+88=121, Resulting Numbers: [121]
121,84 unequal: No Solution
Moving to Node #0,0,0
Current State: 84:[99, 12], Operations: ['90-66=24', '24/2=12']
Exploring Operation: 99-12=87, Resulting Numbers: [87]
87,84 unequal: No Solution
Exploring Operation: 99+12=111, Resulting Numbers: [111]
111,84 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
88,
87,
53,
64
] | 11 | [
"88-87=1",
"64-53=11",
"1*11=11"
] | Current State: 11:[88, 87, 53, 64], Operations: []
Exploring Operation: 88-87=1, Resulting Numbers: [53, 64, 1]
Generated Node #2: [53, 64, 1] from Operation: 88-87=1
Current State: 11:[53, 64, 1], Operations: ['88-87=1']
Exploring Operation: 64-53=11, Resulting Numbers: [1, 11]
Generated Node #3: [1, 11] from Operation: 64-53=11
Current State: 11:[1, 11], Operations: ['88-87=1', '64-53=11']
Exploring Operation: 1*11=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[88, 87, 53, 64], Operations: []
Exploring Operation: 88-53=35, Resulting Numbers: [87, 64, 35]
Generated Node #0,0: 11:[87, 64, 35] Operation: 88-53=35
Exploring Operation: 88-87=1, Resulting Numbers: [53, 64, 1]
Generated Node #0,1: 11:[53, 64, 1] Operation: 88-87=1
Exploring Operation: 87-53=34, Resulting Numbers: [88, 64, 34]
Generated Node #0,2: 11:[88, 64, 34] Operation: 87-53=34
Exploring Operation: 88-64=24, Resulting Numbers: [87, 53, 24]
Generated Node #0,3: 11:[87, 53, 24] Operation: 88-64=24
Exploring Operation: 87-64=23, Resulting Numbers: [88, 53, 23]
Generated Node #0,4: 11:[88, 53, 23] Operation: 87-64=23
Moving to Node #0,1
Current State: 11:[53, 64, 1], Operations: ['88-87=1']
Exploring Operation: 64-53=11, Resulting Numbers: [1, 11]
Generated Node #0,1,0: 11:[1, 11] Operation: 64-53=11
Exploring Operation: 53-1=52, Resulting Numbers: [64, 52]
Generated Node #0,1,1: 11:[64, 52] Operation: 53-1=52
Exploring Operation: 64-1=63, Resulting Numbers: [53, 63]
Generated Node #0,1,2: 11:[53, 63] Operation: 64-1=63
Exploring Operation: 53/1=53, Resulting Numbers: [64, 53]
Generated Node #0,1,3: 11:[64, 53] Operation: 53/1=53
Exploring Operation: 53*1=53, Resulting Numbers: [64, 53]
Generated Node #0,1,4: 11:[64, 53] Operation: 53*1=53
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 11:[1, 11], Operations: ['88-87=1', '64-53=11']
Exploring Operation: 1*11=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[88, 87, 53, 64], Operations: []
Exploring Operation: 88-87=1, Resulting Numbers: [53, 64, 1]
Generated Node #0,1: 11:[53, 64, 1] Operation: 88-87=1
Moving to Node #0,1
Current State: 11:[53, 64, 1], Operations: ['88-87=1']
Exploring Operation: 64-53=11, Resulting Numbers: [1, 11]
Generated Node #0,1,0: 11:[1, 11] Operation: 64-53=11
Moving to Node #0,1,0
Current State: 11:[1, 11], Operations: ['88-87=1', '64-53=11']
Exploring Operation: 1*11=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
7,
98,
27,
79
] | 53 | [
"7+98=105",
"79-27=52",
"105-52=53"
] | Current State: 53:[7, 98, 27, 79], Operations: []
Exploring Operation: 7+98=105, Resulting Numbers: [27, 79, 105]
Generated Node #2: [27, 79, 105] from Operation: 7+98=105
Current State: 53:[27, 79, 105], Operations: ['7+98=105']
Exploring Operation: 79-27=52, Resulting Numbers: [105, 52]
Generated Node #3: [105, 52] from Operation: 79-27=52
Current State: 53:[105, 52], Operations: ['7+98=105', '79-27=52']
Exploring Operation: 105-52=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[7, 98, 27, 79], Operations: []
Exploring Operation: 98-7=91, Resulting Numbers: [27, 79, 91]
Generated Node #0,0: 53:[27, 79, 91] Operation: 98-7=91
Moving to Node #0,0
Current State: 53:[27, 79, 91], Operations: ['98-7=91']
Exploring Operation: 91-27=64, Resulting Numbers: [79, 64]
Generated Node #0,0,0: 53:[79, 64] Operation: 91-27=64
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[79, 64], Operations: ['98-7=91', '91-27=64']
Exploring Operation: 79-64=15, Resulting Numbers: [15]
15,53 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 |
[
17,
72,
83,
85
] | 53 | [
"72-17=55",
"85-83=2",
"55-2=53"
] | Current State: 53:[17, 72, 83, 85], Operations: []
Exploring Operation: 72-17=55, Resulting Numbers: [83, 85, 55]
Generated Node #2: [83, 85, 55] from Operation: 72-17=55
Current State: 53:[83, 85, 55], Operations: ['72-17=55']
Exploring Operation: 85-83=2, Resulting Numbers: [55, 2]
Generated Node #3: [55, 2] from Operation: 85-83=2
Current State: 53:[55, 2], Operations: ['72-17=55', '85-83=2']
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[17, 72, 83, 85], Operations: []
Exploring Operation: 85-17=68, Resulting Numbers: [72, 83, 68]
Generated Node #0,0: 53:[72, 83, 68] Operation: 85-17=68
Exploring Operation: 83-17=66, Resulting Numbers: [72, 85, 66]
Generated Node #0,1: 53:[72, 85, 66] Operation: 83-17=66
Exploring Operation: 72-17=55, Resulting Numbers: [83, 85, 55]
Generated Node #0,2: 53:[83, 85, 55] Operation: 72-17=55
Exploring Operation: 85/17=5, Resulting Numbers: [72, 83, 5]
Generated Node #0,3: 53:[72, 83, 5] Operation: 85/17=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[72, 83, 68], Operations: ['85-17=68']
Exploring Operation: 83-72=11, Resulting Numbers: [68, 11]
Generated Node #0,0,0: 53:[68, 11] Operation: 83-72=11
Exploring Operation: 72+83=155, Resulting Numbers: [68, 155]
Generated Node #0,0,1: 53:[68, 155] Operation: 72+83=155
Exploring Operation: 72-68=4, Resulting Numbers: [83, 4]
Generated Node #0,0,2: 53:[83, 4] Operation: 72-68=4
Exploring Operation: 83-68=15, Resulting Numbers: [72, 15]
Generated Node #0,0,3: 53:[72, 15] Operation: 83-68=15
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 53:[68, 11], Operations: ['85-17=68', '83-72=11']
Exploring Operation: 68-11=57, Resulting Numbers: [57]
57,53 unequal: No Solution
Exploring Operation: 68*11=748, Resulting Numbers: [748]
748,53 unequal: No Solution
Exploring Operation: 68+11=79, Resulting Numbers: [79]
79,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 53:[72, 15], Operations: ['85-17=68', '83-68=15']
Exploring Operation: 72+15=87, Resulting Numbers: [87]
87,53 unequal: No Solution
Exploring Operation: 72-15=57, Resulting Numbers: [57]
57,53 unequal: No Solution
Exploring Operation: 72*15=1080, Resulting Numbers: [1080]
1080,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 53:[83, 4], Operations: ['85-17=68', '72-68=4']
Exploring Operation: 83-4=79, Resulting Numbers: [79]
79,53 unequal: No Solution
Exploring Operation: 83*4=332, Resulting Numbers: [332]
332,53 unequal: No Solution
Exploring Operation: 83+4=87, Resulting Numbers: [87]
87,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 53:[68, 155], Operations: ['85-17=68', '72+83=155']
Exploring Operation: 68+155=223, Resulting Numbers: [223]
223,53 unequal: No Solution
Exploring Operation: 155-68=87, Resulting Numbers: [87]
87,53 unequal: No Solution
Exploring Operation: 68*155=10540, Resulting Numbers: [10540]
10540,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 53:[72, 85, 66], Operations: ['83-17=66']
Exploring Operation: 72-66=6, Resulting Numbers: [85, 6]
Generated Node #0,1,0: 53:[85, 6] Operation: 72-66=6
Exploring Operation: 72+85=157, Resulting Numbers: [66, 157]
Generated Node #0,1,1: 53:[66, 157] Operation: 72+85=157
Exploring Operation: 85-66=19, Resulting Numbers: [72, 19]
Generated Node #0,1,2: 53:[72, 19] Operation: 85-66=19
Exploring Operation: 85-72=13, Resulting Numbers: [66, 13]
Generated Node #0,1,3: 53:[66, 13] Operation: 85-72=13
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 53:[72, 19], Operations: ['83-17=66', '85-66=19']
Exploring Operation: 72*19=1368, Resulting Numbers: [1368]
1368,53 unequal: No Solution
Exploring Operation: 72-19=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[17, 72, 83, 85], Operations: []
Exploring Operation: 83-17=66, Resulting Numbers: [72, 85, 66]
Generated Node #0,1: 53:[72, 85, 66] Operation: 83-17=66
Moving to Node #0,1
Current State: 53:[72, 85, 66], Operations: ['83-17=66']
Exploring Operation: 85-66=19, Resulting Numbers: [72, 19]
Generated Node #0,1,2: 53:[72, 19] Operation: 85-66=19
Moving to Node #0,1,2
Current State: 53:[72, 19], Operations: ['83-17=66', '85-66=19']
Exploring Operation: 72-19=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.973958 | hs_4 | sum_heuristic |
[
36,
73,
10,
15
] | 19 | [
"36*15=540",
"540/10=54",
"73-54=19"
] | Current State: 19:[36, 73, 10, 15], Operations: []
Exploring Operation: 36*15=540, Resulting Numbers: [73, 10, 540]
Generated Node #2: [73, 10, 540] from Operation: 36*15=540
Current State: 19:[73, 10, 540], Operations: ['36*15=540']
Exploring Operation: 540/10=54, Resulting Numbers: [73, 54]
Generated Node #3: [73, 54] from Operation: 540/10=54
Current State: 19:[73, 54], Operations: ['36*15=540', '540/10=54']
Exploring Operation: 73-54=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[36, 73, 10, 15], Operations: []
Exploring Operation: 73-36=37, Resulting Numbers: [10, 15, 37]
Generated Node #0,0: 19:[10, 15, 37] Operation: 73-36=37
Exploring Operation: 36-10=26, Resulting Numbers: [73, 15, 26]
Generated Node #0,1: 19:[73, 15, 26] Operation: 36-10=26
Moving to Node #0,0
Current State: 19:[10, 15, 37], Operations: ['73-36=37']
Exploring Operation: 37-10=27, Resulting Numbers: [15, 27]
Generated Node #0,0,0: 19:[15, 27] Operation: 37-10=27
Exploring Operation: 37-15=22, Resulting Numbers: [10, 22]
Generated Node #0,0,1: 19:[10, 22] Operation: 37-15=22
Moving to Node #0,1
Current State: 19:[73, 15, 26], Operations: ['36-10=26']
Exploring Operation: 73-15=58, Resulting Numbers: [26, 58]
Generated Node #0,1,0: 19:[26, 58] Operation: 73-15=58
Exploring Operation: 73-26=47, Resulting Numbers: [15, 47]
Generated Node #0,1,1: 19:[15, 47] Operation: 73-26=47
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 19:[15, 47], Operations: ['36-10=26', '73-26=47']
Exploring Operation: 15+47=62, Resulting Numbers: [62]
62,19 unequal: No Solution
Exploring Operation: 47-15=32, Resulting Numbers: [32]
32,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 19:[26, 58], Operations: ['36-10=26', '73-15=58']
Exploring Operation: 58-26=32, Resulting Numbers: [32]
32,19 unequal: No Solution
Exploring Operation: 26+58=84, Resulting Numbers: [84]
84,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 19:[15, 27], Operations: ['73-36=37', '37-10=27']
Exploring Operation: 15+27=42, Resulting Numbers: [42]
42,19 unequal: No Solution
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,19 unequal: No Solution
Moving to Node #0,0,1
Current State: 19:[10, 22], Operations: ['73-36=37', '37-15=22']
Exploring Operation: 10+22=32, Resulting Numbers: [32]
32,19 unequal: No Solution
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,19 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
89,
97,
24,
59
] | 43 | [
"97-89=8",
"59-24=35",
"8+35=43"
] | Current State: 43:[89, 97, 24, 59], Operations: []
Exploring Operation: 97-89=8, Resulting Numbers: [24, 59, 8]
Generated Node #2: [24, 59, 8] from Operation: 97-89=8
Current State: 43:[24, 59, 8], Operations: ['97-89=8']
Exploring Operation: 59-24=35, Resulting Numbers: [8, 35]
Generated Node #3: [8, 35] from Operation: 59-24=35
Current State: 43:[8, 35], Operations: ['97-89=8', '59-24=35']
Exploring Operation: 8+35=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[89, 97, 24, 59], Operations: []
Exploring Operation: 97-59=38, Resulting Numbers: [89, 24, 38]
Generated Node #0,0: 43:[89, 24, 38] Operation: 97-59=38
Exploring Operation: 97-89=8, Resulting Numbers: [24, 59, 8]
Generated Node #0,1: 43:[24, 59, 8] Operation: 97-89=8
Exploring Operation: 89-24=65, Resulting Numbers: [97, 59, 65]
Generated Node #0,2: 43:[97, 59, 65] Operation: 89-24=65
Exploring Operation: 89-59=30, Resulting Numbers: [97, 24, 30]
Generated Node #0,3: 43:[97, 24, 30] Operation: 89-59=30
Exploring Operation: 97-24=73, Resulting Numbers: [89, 59, 73]
Generated Node #0,4: 43:[89, 59, 73] Operation: 97-24=73
Moving to Node #0,0
Current State: 43:[89, 24, 38], Operations: ['97-59=38']
Exploring Operation: 89+24=113, Resulting Numbers: [38, 113]
Generated Node #0,0,0: 43:[38, 113] Operation: 89+24=113
Exploring Operation: 89-38=51, Resulting Numbers: [24, 51]
Generated Node #0,0,1: 43:[24, 51] Operation: 89-38=51
Exploring Operation: 89-24=65, Resulting Numbers: [38, 65]
Generated Node #0,0,2: 43:[38, 65] Operation: 89-24=65
Exploring Operation: 38-24=14, Resulting Numbers: [89, 14]
Generated Node #0,0,3: 43:[89, 14] Operation: 38-24=14
Exploring Operation: 24+38=62, Resulting Numbers: [89, 62]
Generated Node #0,0,4: 43:[89, 62] Operation: 24+38=62
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 43:[24, 51], Operations: ['97-59=38', '89-38=51']
Exploring Operation: 24+51=75, Resulting Numbers: [75]
75,43 unequal: No Solution
Exploring Operation: 51-24=27, Resulting Numbers: [27]
27,43 unequal: No Solution
Exploring Operation: 24*51=1224, Resulting Numbers: [1224]
1224,43 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 #0,0,2
Current State: 43:[38, 65], Operations: ['97-59=38', '89-24=65']
Exploring Operation: 38+65=103, Resulting Numbers: [103]
103,43 unequal: No Solution
Exploring Operation: 38*65=2470, Resulting Numbers: [2470]
2470,43 unequal: No Solution
Exploring Operation: 65-38=27, Resulting Numbers: [27]
27,43 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 #0,0,4
Current State: 43:[89, 62], Operations: ['97-59=38', '24+38=62']
Exploring Operation: 89+62=151, Resulting Numbers: [151]
151,43 unequal: No Solution
Exploring Operation: 89*62=5518, Resulting Numbers: [5518]
5518,43 unequal: No Solution
Exploring Operation: 89-62=27, Resulting Numbers: [27]
27,43 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 #0,0,0
Current State: 43:[38, 113], Operations: ['97-59=38', '89+24=113']
Exploring Operation: 38+113=151, Resulting Numbers: [151]
151,43 unequal: No Solution
Exploring Operation: 113-38=75, Resulting Numbers: [75]
75,43 unequal: No Solution
Exploring Operation: 38*113=4294, Resulting Numbers: [4294]
4294,43 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 #0,0,3
Current State: 43:[89, 14], Operations: ['97-59=38', '38-24=14']
Exploring Operation: 89-14=75, Resulting Numbers: [75]
75,43 unequal: No Solution
Exploring Operation: 89+14=103, Resulting Numbers: [103]
103,43 unequal: No Solution
Exploring Operation: 89*14=1246, Resulting Numbers: [1246]
1246,43 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:[24, 59, 8], Operations: ['97-89=8']
Exploring Operation: 24-8=16, Resulting Numbers: [59, 16]
Generated Node #0,1,0: 43:[59, 16] Operation: 24-8=16
Exploring Operation: 59-24=35, Resulting Numbers: [8, 35]
Generated Node #0,1,1: 43:[8, 35] Operation: 59-24=35
Exploring Operation: 59+8=67, Resulting Numbers: [24, 67]
Generated Node #0,1,2: 43:[24, 67] Operation: 59+8=67
Exploring Operation: 59-8=51, Resulting Numbers: [24, 51]
Generated Node #0,1,3: 43:[24, 51] Operation: 59-8=51
Exploring Operation: 24+8=32, Resulting Numbers: [59, 32]
Generated Node #0,1,4: 43:[59, 32] Operation: 24+8=32
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 43:[24, 51], Operations: ['97-89=8', '59-8=51']
Exploring Operation: 24*51=1224, Resulting Numbers: [1224]
1224,43 unequal: No Solution
Exploring Operation: 24+51=75, Resulting Numbers: [75]
75,43 unequal: No Solution
Exploring Operation: 51-24=27, Resulting Numbers: [27]
27,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 43:[59, 32], Operations: ['97-89=8', '24+8=32']
Exploring Operation: 59-32=27, Resulting Numbers: [27]
27,43 unequal: No Solution
Exploring Operation: 59+32=91, Resulting Numbers: [91]
91,43 unequal: No Solution
Exploring Operation: 59*32=1888, Resulting Numbers: [1888]
1888,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 43:[59, 16], Operations: ['97-89=8', '24-8=16']
Exploring Operation: 59+16=75, Resulting Numbers: [75]
75,43 unequal: No Solution
Exploring Operation: 59-16=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[89, 97, 24, 59], Operations: []
Exploring Operation: 97-89=8, Resulting Numbers: [24, 59, 8]
Generated Node #0,1: 43:[24, 59, 8] Operation: 97-89=8
Moving to Node #0,1
Current State: 43:[24, 59, 8], Operations: ['97-89=8']
Exploring Operation: 24-8=16, Resulting Numbers: [59, 16]
Generated Node #0,1,0: 43:[59, 16] Operation: 24-8=16
Moving to Node #0,1,0
Current State: 43:[59, 16], Operations: ['97-89=8', '24-8=16']
Exploring Operation: 59-16=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 | hs_5 | mult_heuristic |
[
19,
20,
43,
36
] | 97 | [
"19*43=817",
"20*36=720",
"817-720=97"
] | Current State: 97:[19, 20, 43, 36], Operations: []
Exploring Operation: 19*43=817, Resulting Numbers: [20, 36, 817]
Generated Node #2: [20, 36, 817] from Operation: 19*43=817
Current State: 97:[20, 36, 817], Operations: ['19*43=817']
Exploring Operation: 20*36=720, Resulting Numbers: [817, 720]
Generated Node #3: [817, 720] from Operation: 20*36=720
Current State: 97:[817, 720], Operations: ['19*43=817', '20*36=720']
Exploring Operation: 817-720=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[19, 20, 43, 36], Operations: []
Exploring Operation: 20+43=63, Resulting Numbers: [19, 36, 63]
Generated Node #0,0: 97:[19, 36, 63] Operation: 20+43=63
Exploring Operation: 19+36=55, Resulting Numbers: [20, 43, 55]
Generated Node #0,1: 97:[20, 43, 55] Operation: 19+36=55
Exploring Operation: 20+36=56, Resulting Numbers: [19, 43, 56]
Generated Node #0,2: 97:[19, 43, 56] Operation: 20+36=56
Exploring Operation: 19+43=62, Resulting Numbers: [20, 36, 62]
Generated Node #0,3: 97:[20, 36, 62] Operation: 19+43=62
Exploring Operation: 19+20=39, Resulting Numbers: [43, 36, 39]
Generated Node #0,4: 97:[43, 36, 39] Operation: 19+20=39
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[19, 36, 63], Operations: ['20+43=63']
Exploring Operation: 19+63=82, Resulting Numbers: [36, 82]
Generated Node #0,0,0: 97:[36, 82] Operation: 19+63=82
Exploring Operation: 63-19=44, Resulting Numbers: [36, 44]
Generated Node #0,0,1: 97:[36, 44] Operation: 63-19=44
Exploring Operation: 19+36=55, Resulting Numbers: [63, 55]
Generated Node #0,0,2: 97:[63, 55] Operation: 19+36=55
Exploring Operation: 36+63=99, Resulting Numbers: [19, 99]
Generated Node #0,0,3: 97:[19, 99] Operation: 36+63=99
Exploring Operation: 36-19=17, Resulting Numbers: [63, 17]
Generated Node #0,0,4: 97:[63, 17] Operation: 36-19=17
Moving to Node #0,0,0
Current State: 97:[36, 82], Operations: ['20+43=63', '19+63=82']
Exploring Operation: 82-36=46, Resulting Numbers: [46]
46,97 unequal: No Solution
Exploring Operation: 36+82=118, Resulting Numbers: [118]
118,97 unequal: No Solution
Exploring Operation: 36*82=2952, Resulting Numbers: [2952]
2952,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[63, 55], Operations: ['20+43=63', '19+36=55']
Exploring Operation: 63-55=8, Resulting Numbers: [8]
8,97 unequal: No Solution
Exploring Operation: 63*55=3465, Resulting Numbers: [3465]
3465,97 unequal: No Solution
Exploring Operation: 63+55=118, Resulting Numbers: [118]
118,97 unequal: No Solution
Moving to Node #0,0,3
Current State: 97:[19, 99], Operations: ['20+43=63', '36+63=99']
Exploring Operation: 19+99=118, Resulting Numbers: [118]
118,97 unequal: No Solution
Exploring Operation: 19*99=1881, Resulting Numbers: [1881]
1881,97 unequal: No Solution
Exploring Operation: 99-19=80, Resulting Numbers: [80]
80,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[36, 44], Operations: ['20+43=63', '63-19=44']
Exploring Operation: 36*44=1584, Resulting Numbers: [1584]
1584,97 unequal: No Solution
Exploring Operation: 36+44=80, Resulting Numbers: [80]
80,97 unequal: No Solution
Exploring Operation: 44-36=8, Resulting Numbers: [8]
8,97 unequal: No Solution
Moving to Node #0,0,4
Current State: 97:[63, 17], Operations: ['20+43=63', '36-19=17']
Exploring Operation: 63*17=1071, Resulting Numbers: [1071]
1071,97 unequal: No Solution
Exploring Operation: 63-17=46, Resulting Numbers: [46]
46,97 unequal: No Solution
Exploring Operation: 63+17=80, Resulting Numbers: [80]
80,97 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
Current State: 97:[20, 43, 55], Operations: ['19+36=55']
Exploring Operation: 43-20=23, Resulting Numbers: [55, 23]
Generated Node #0,1,0: 97:[55, 23] Operation: 43-20=23
Exploring Operation: 43+55=98, Resulting Numbers: [20, 98]
Generated Node #0,1,1: 97:[20, 98] Operation: 43+55=98
Exploring Operation: 20+55=75, Resulting Numbers: [43, 75]
Generated Node #0,1,2: 97:[43, 75] Operation: 20+55=75
Exploring Operation: 55-20=35, Resulting Numbers: [43, 35]
Generated Node #0,1,3: 97:[43, 35] Operation: 55-20=35
Exploring Operation: 20+43=63, Resulting Numbers: [55, 63]
Generated Node #0,1,4: 97:[55, 63] Operation: 20+43=63
Moving to Node #0,1,2
Current State: 97:[43, 75], Operations: ['19+36=55', '20+55=75']
Exploring Operation: 43+75=118, Resulting Numbers: [118]
118,97 unequal: No Solution
Exploring Operation: 75-43=32, Resulting Numbers: [32]
32,97 unequal: No Solution
Exploring Operation: 43*75=3225, Resulting Numbers: [3225]
3225,97 unequal: No Solution
Moving to Node #0,1,4
Current State: 97:[55, 63], Operations: ['19+36=55', '20+43=63']
Exploring Operation: 55+63=118, Resulting Numbers: [118]
118,97 unequal: No Solution
Exploring Operation: 55*63=3465, Resulting Numbers: [3465]
3465,97 unequal: No Solution
Exploring Operation: 63-55=8, Resulting Numbers: [8]
8,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[20, 98], Operations: ['19+36=55', '43+55=98']
Exploring Operation: 98-20=78, Resulting Numbers: [78]
78,97 unequal: No Solution
Exploring Operation: 20+98=118, Resulting Numbers: [118]
118,97 unequal: No Solution
Exploring Operation: 20*98=1960, Resulting Numbers: [1960]
1960,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[55, 23], Operations: ['19+36=55', '43-20=23']
Exploring Operation: 55+23=78, Resulting Numbers: [78]
78,97 unequal: No Solution
Exploring Operation: 55*23=1265, Resulting Numbers: [1265]
1265,97 unequal: No Solution
Exploring Operation: 55-23=32, Resulting Numbers: [32]
32,97 unequal: No Solution
Moving to Node #0,1,3
Current State: 97:[43, 35], Operations: ['19+36=55', '55-20=35']
Exploring Operation: 43*35=1505, Resulting Numbers: [1505]
1505,97 unequal: No Solution
Exploring Operation: 43-35=8, Resulting Numbers: [8]
8,97 unequal: No Solution
Exploring Operation: 43+35=78, Resulting Numbers: [78]
78,97 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
Current State: 97:[19, 43, 56], Operations: ['20+36=56']
Exploring Operation: 56-19=37, Resulting Numbers: [43, 37]
Generated Node #0,2,0: 97:[43, 37] Operation: 56-19=37
Exploring Operation: 43-19=24, Resulting Numbers: [56, 24]
Generated Node #0,2,1: 97:[56, 24] Operation: 43-19=24
Exploring Operation: 19+43=62, Resulting Numbers: [56, 62]
Generated Node #0,2,2: 97:[56, 62] Operation: 19+43=62
Exploring Operation: 43+56=99, Resulting Numbers: [19, 99]
Generated Node #0,2,3: 97:[19, 99] Operation: 43+56=99
Exploring Operation: 19+56=75, Resulting Numbers: [43, 75]
Generated Node #0,2,4: 97:[43, 75] Operation: 19+56=75
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 97:[56, 62], Operations: ['20+36=56', '19+43=62']
Exploring Operation: 56*62=3472, Resulting Numbers: [3472]
3472,97 unequal: No Solution
Exploring Operation: 62-56=6, Resulting Numbers: [6]
6,97 unequal: No Solution
Exploring Operation: 56+62=118, Resulting Numbers: [118]
118,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 97:[43, 75], Operations: ['20+36=56', '19+56=75']
Exploring Operation: 75-43=32, Resulting Numbers: [32]
32,97 unequal: No Solution
Exploring Operation: 43+75=118, Resulting Numbers: [118]
118,97 unequal: No Solution
Exploring Operation: 43*75=3225, Resulting Numbers: [3225]
3225,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 97:[19, 99], Operations: ['20+36=56', '43+56=99']
Exploring Operation: 19+99=118, Resulting Numbers: [118]
118,97 unequal: No Solution
Exploring Operation: 19*99=1881, Resulting Numbers: [1881]
1881,97 unequal: No Solution
Exploring Operation: 99-19=80, Resulting Numbers: [80]
80,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 97:[43, 37], Operations: ['20+36=56', '56-19=37']
Exploring Operation: 43-37=6, Resulting Numbers: [6]
6,97 unequal: No Solution
Exploring Operation: 43+37=80, Resulting Numbers: [80]
80,97 unequal: No Solution
Exploring Operation: 43*37=1591, Resulting Numbers: [1591]
1591,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 97:[56, 24], Operations: ['20+36=56', '43-19=24']
Exploring Operation: 56*24=1344, Resulting Numbers: [1344]
1344,97 unequal: No Solution
Exploring Operation: 56-24=32, Resulting Numbers: [32]
32,97 unequal: No Solution
Exploring Operation: 56+24=80, Resulting Numbers: [80]
80,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 97:[20, 36, 62], Operations: ['19+43=62']
Exploring Operation: 36-20=16, Resulting Numbers: [62, 16]
Generated Node #0,3,0: 97:[62, 16] Operation: 36-20=16
Exploring Operation: 20+36=56, Resulting Numbers: [62, 56]
Generated Node #0,3,1: 97:[62, 56] Operation: 20+36=56
Exploring Operation: 36+62=98, Resulting Numbers: [20, 98]
Generated Node #0,3,2: 97:[20, 98] Operation: 36+62=98
Exploring Operation: 62-20=42, Resulting Numbers: [36, 42]
Generated Node #0,3,3: 97:[36, 42] Operation: 62-20=42
Exploring Operation: 20+62=82, Resulting Numbers: [36, 82]
Generated Node #0,3,4: 97:[36, 82] Operation: 20+62=82
Moving to Node #0,3,1
Current State: 97:[62, 56], Operations: ['19+43=62', '20+36=56']
Exploring Operation: 62*56=3472, Resulting Numbers: [3472]
3472,97 unequal: No Solution
Exploring Operation: 62+56=118, Resulting Numbers: [118]
118,97 unequal: No Solution
Exploring Operation: 62-56=6, Resulting Numbers: [6]
6,97 unequal: No Solution
Moving to Node #0,3,4
Current State: 97:[36, 82], Operations: ['19+43=62', '20+62=82']
Exploring Operation: 36*82=2952, Resulting Numbers: [2952]
2952,97 unequal: No Solution
Exploring Operation: 82-36=46, Resulting Numbers: [46]
46,97 unequal: No Solution
Exploring Operation: 36+82=118, Resulting Numbers: [118]
118,97 unequal: No Solution
Moving to Node #0,3,2
Current State: 97:[20, 98], Operations: ['19+43=62', '36+62=98']
Exploring Operation: 20*98=1960, Resulting Numbers: [1960]
1960,97 unequal: No Solution
Exploring Operation: 20+98=118, Resulting Numbers: [118]
118,97 unequal: No Solution
Exploring Operation: 98-20=78, Resulting Numbers: [78]
78,97 unequal: No Solution
Moving to Node #0,3,0
Current State: 97:[62, 16], Operations: ['19+43=62', '36-20=16']
Exploring Operation: 62+16=78, Resulting Numbers: [78]
78,97 unequal: No Solution
Exploring Operation: 62-16=46, Resulting Numbers: [46]
46,97 unequal: No Solution
Exploring Operation: 62*16=992, Resulting Numbers: [992]
992,97 unequal: No Solution
Moving to Node #0,3,3
Current State: 97:[36, 42], Operations: ['19+43=62', '62-20=42']
Exploring Operation: 36*42=1512, Resulting Numbers: [1512]
1512,97 unequal: No Solution
Exploring Operation: 42-36=6, Resulting Numbers: [6]
6,97 unequal: No Solution
Exploring Operation: 36+42=78, Resulting Numbers: [78]
78,97 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 #0,4
Current State: 97:[43, 36, 39], Operations: ['19+20=39']
Exploring Operation: 39-36=3, Resulting Numbers: [43, 3]
Generated Node #0,4,0: 97:[43, 3] Operation: 39-36=3
Exploring Operation: 36+39=75, Resulting Numbers: [43, 75]
Generated Node #0,4,1: 97:[43, 75] Operation: 36+39=75
Exploring Operation: 43+36=79, Resulting Numbers: [39, 79]
Generated Node #0,4,2: 97:[39, 79] Operation: 43+36=79
Exploring Operation: 43+39=82, Resulting Numbers: [36, 82]
Generated Node #0,4,3: 97:[36, 82] Operation: 43+39=82
Exploring Operation: 43-36=7, Resulting Numbers: [39, 7]
Generated Node #0,4,4: 97:[39, 7] Operation: 43-36=7
Moving to Node #0,4,1
Current State: 97:[43, 75], Operations: ['19+20=39', '36+39=75']
Exploring Operation: 75-43=32, Resulting Numbers: [32]
32,97 unequal: No Solution
Exploring Operation: 43*75=3225, Resulting Numbers: [3225]
3225,97 unequal: No Solution
Exploring Operation: 43+75=118, Resulting Numbers: [118]
118,97 unequal: No Solution
Moving to Node #0,4,3
Current State: 97:[36, 82], Operations: ['19+20=39', '43+39=82']
Exploring Operation: 82-36=46, Resulting Numbers: [46]
46,97 unequal: No Solution
Exploring Operation: 36*82=2952, Resulting Numbers: [2952]
2952,97 unequal: No Solution
Exploring Operation: 36+82=118, Resulting Numbers: [118]
118,97 unequal: No Solution
Moving to Node #0,4,2
Current State: 97:[39, 79], Operations: ['19+20=39', '43+36=79']
Exploring Operation: 39+79=118, Resulting Numbers: [118]
118,97 unequal: No Solution
Exploring Operation: 79-39=40, Resulting Numbers: [40]
40,97 unequal: No Solution
Exploring Operation: 39*79=3081, Resulting Numbers: [3081]
3081,97 unequal: No Solution
Moving to Node #0,4,0
Current State: 97:[43, 3], Operations: ['19+20=39', '39-36=3']
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,97 unequal: No Solution
Exploring Operation: 43*3=129, Resulting Numbers: [129]
129,97 unequal: No Solution
Exploring Operation: 43+3=46, Resulting Numbers: [46]
46,97 unequal: No Solution
Moving to Node #0,4,4
Current State: 97:[39, 7], Operations: ['19+20=39', '43-36=7']
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,97 unequal: No Solution
Exploring Operation: 39*7=273, Resulting Numbers: [273]
273,97 unequal: No Solution
Exploring Operation: 39+7=46, Resulting Numbers: [46]
46,97 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 |
[
87,
39,
97,
79
] | 17 | [
"87-79=8",
"39+97=136",
"136/8=17"
] | Current State: 17:[87, 39, 97, 79], Operations: []
Exploring Operation: 87-79=8, Resulting Numbers: [39, 97, 8]
Generated Node #2: [39, 97, 8] from Operation: 87-79=8
Current State: 17:[39, 97, 8], Operations: ['87-79=8']
Exploring Operation: 39+97=136, Resulting Numbers: [8, 136]
Generated Node #3: [8, 136] from Operation: 39+97=136
Current State: 17:[8, 136], Operations: ['87-79=8', '39+97=136']
Exploring Operation: 136/8=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[87, 39, 97, 79], Operations: []
Exploring Operation: 87-79=8, Resulting Numbers: [39, 97, 8]
Generated Node #0,0: 17:[39, 97, 8] Operation: 87-79=8
Exploring Operation: 97-79=18, Resulting Numbers: [87, 39, 18]
Generated Node #0,1: 17:[87, 39, 18] Operation: 97-79=18
Exploring Operation: 87-39=48, Resulting Numbers: [97, 79, 48]
Generated Node #0,2: 17:[97, 79, 48] Operation: 87-39=48
Exploring Operation: 97-87=10, Resulting Numbers: [39, 79, 10]
Generated Node #0,3: 17:[39, 79, 10] Operation: 97-87=10
Moving to Node #0,3
Current State: 17:[39, 79, 10], Operations: ['97-87=10']
Exploring Operation: 39-10=29, Resulting Numbers: [79, 29]
Generated Node #0,3,0: 17:[79, 29] Operation: 39-10=29
Exploring Operation: 79-39=40, Resulting Numbers: [10, 40]
Generated Node #0,3,1: 17:[10, 40] Operation: 79-39=40
Exploring Operation: 39+10=49, Resulting Numbers: [79, 49]
Generated Node #0,3,2: 17:[79, 49] Operation: 39+10=49
Exploring Operation: 79-10=69, Resulting Numbers: [39, 69]
Generated Node #0,3,3: 17:[39, 69] Operation: 79-10=69
Moving to Node #0,1
Current State: 17:[87, 39, 18], Operations: ['97-79=18']
Exploring Operation: 39-18=21, Resulting Numbers: [87, 21]
Generated Node #0,1,0: 17:[87, 21] Operation: 39-18=21
Exploring Operation: 87-39=48, Resulting Numbers: [18, 48]
Generated Node #0,1,1: 17:[18, 48] Operation: 87-39=48
Exploring Operation: 87+39=126, Resulting Numbers: [18, 126]
Generated Node #0,1,2: 17:[18, 126] Operation: 87+39=126
Exploring Operation: 87-18=69, Resulting Numbers: [39, 69]
Generated Node #0,1,3: 17:[39, 69] Operation: 87-18=69
Moving to Node #0,0
Current State: 17:[39, 97, 8], Operations: ['87-79=8']
Exploring Operation: 39-8=31, Resulting Numbers: [97, 31]
Generated Node #0,0,0: 17:[97, 31] Operation: 39-8=31
Exploring Operation: 97-39=58, Resulting Numbers: [8, 58]
Generated Node #0,0,1: 17:[8, 58] Operation: 97-39=58
Exploring Operation: 39+8=47, Resulting Numbers: [97, 47]
Generated Node #0,0,2: 17:[97, 47] Operation: 39+8=47
Exploring Operation: 97-8=89, Resulting Numbers: [39, 89]
Generated Node #0,0,3: 17:[39, 89] Operation: 97-8=89
Moving to Node #0,2
Current State: 17:[97, 79, 48], Operations: ['87-39=48']
Exploring Operation: 97-48=49, Resulting Numbers: [79, 49]
Generated Node #0,2,0: 17:[79, 49] Operation: 97-48=49
Exploring Operation: 97+79=176, Resulting Numbers: [48, 176]
Generated Node #0,2,1: 17:[48, 176] Operation: 97+79=176
Exploring Operation: 79-48=31, Resulting Numbers: [97, 31]
Generated Node #0,2,2: 17:[97, 31] Operation: 79-48=31
Exploring Operation: 97-79=18, Resulting Numbers: [48, 18]
Generated Node #0,2,3: 17:[48, 18] Operation: 97-79=18
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 17:[48, 18], Operations: ['87-39=48', '97-79=18']
Exploring Operation: 48+18=66, Resulting Numbers: [66]
66,17 unequal: No Solution
Exploring Operation: 48*18=864, Resulting Numbers: [864]
864,17 unequal: No Solution
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 17:[79, 49], Operations: ['87-39=48', '97-48=49']
Exploring Operation: 79+49=128, Resulting Numbers: [128]
128,17 unequal: No Solution
Exploring Operation: 79-49=30, Resulting Numbers: [30]
30,17 unequal: No Solution
Exploring Operation: 79*49=3871, Resulting Numbers: [3871]
3871,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 17:[97, 31], Operations: ['87-39=48', '79-48=31']
Exploring Operation: 97-31=66, Resulting Numbers: [66]
66,17 unequal: No Solution
Exploring Operation: 97+31=128, Resulting Numbers: [128]
128,17 unequal: No Solution
Exploring Operation: 97*31=3007, Resulting Numbers: [3007]
3007,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 17:[48, 176], Operations: ['87-39=48', '97+79=176']
Exploring Operation: 48+176=224, Resulting Numbers: [224]
224,17 unequal: No Solution
Exploring Operation: 176-48=128, Resulting Numbers: [128]
128,17 unequal: No Solution
Exploring Operation: 48*176=8448, Resulting Numbers: [8448]
8448,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,1
Current State: 17:[10, 40], Operations: ['97-87=10', '79-39=40']
Exploring Operation: 10*40=400, Resulting Numbers: [400]
400,17 unequal: No Solution
Exploring Operation: 40-10=30, Resulting Numbers: [30]
30,17 unequal: No Solution
Exploring Operation: 40/10=4, Resulting Numbers: [4]
4,17 unequal: No Solution
Exploring Operation: 10+40=50, Resulting Numbers: [50]
50,17 unequal: No Solution
Moving to Node #0,1,1
Current State: 17:[18, 48], Operations: ['97-79=18', '87-39=48']
Exploring Operation: 18*48=864, Resulting Numbers: [864]
864,17 unequal: No Solution
Exploring Operation: 18+48=66, Resulting Numbers: [66]
66,17 unequal: No Solution
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,17 unequal: No Solution
Moving to Node #0,0,1
Current State: 17:[8, 58], Operations: ['87-79=8', '97-39=58']
Exploring Operation: 58-8=50, Resulting Numbers: [50]
50,17 unequal: No Solution
Exploring Operation: 8+58=66, Resulting Numbers: [66]
66,17 unequal: No Solution
Exploring Operation: 8*58=464, Resulting Numbers: [464]
464,17 unequal: No Solution
Moving to Node #0,3,3
Current State: 17:[39, 69], Operations: ['97-87=10', '79-10=69']
Exploring Operation: 39*69=2691, Resulting Numbers: [2691]
2691,17 unequal: No Solution
Exploring Operation: 39+69=108, Resulting Numbers: [108]
108,17 unequal: No Solution
Exploring Operation: 69-39=30, Resulting Numbers: [30]
30,17 unequal: No Solution
Moving to Node #0,1,3
Current State: 17:[39, 69], Operations: ['97-79=18', '87-18=69']
Exploring Operation: 69-39=30, Resulting Numbers: [30]
30,17 unequal: No Solution
Exploring Operation: 39+69=108, Resulting Numbers: [108]
108,17 unequal: No Solution
Exploring Operation: 39*69=2691, Resulting Numbers: [2691]
2691,17 unequal: No Solution
Moving to Node #0,1,0
Current State: 17:[87, 21], Operations: ['97-79=18', '39-18=21']
Exploring Operation: 87-21=66, Resulting Numbers: [66]
66,17 unequal: No Solution
Exploring Operation: 87*21=1827, Resulting Numbers: [1827]
1827,17 unequal: No Solution
Exploring Operation: 87+21=108, Resulting Numbers: [108]
108,17 unequal: No Solution
Moving to Node #0,3,0
Current State: 17:[79, 29], Operations: ['97-87=10', '39-10=29']
Exploring Operation: 79+29=108, Resulting Numbers: [108]
108,17 unequal: No Solution
Exploring Operation: 79-29=50, Resulting Numbers: [50]
50,17 unequal: No Solution
Exploring Operation: 79*29=2291, Resulting Numbers: [2291]
2291,17 unequal: No Solution
Moving to Node #0,0,3
Current State: 17:[39, 89], Operations: ['87-79=8', '97-8=89']
Exploring Operation: 39*89=3471, Resulting Numbers: [3471]
3471,17 unequal: No Solution
Exploring Operation: 39+89=128, Resulting Numbers: [128]
128,17 unequal: No Solution
Exploring Operation: 89-39=50, Resulting Numbers: [50]
50,17 unequal: No Solution
Moving to Node #0,0,0
Current State: 17:[97, 31], Operations: ['87-79=8', '39-8=31']
Exploring Operation: 97-31=66, Resulting Numbers: [66]
66,17 unequal: No Solution
Exploring Operation: 97*31=3007, Resulting Numbers: [3007]
3007,17 unequal: No Solution
Exploring Operation: 97+31=128, Resulting Numbers: [128]
128,17 unequal: No Solution
Moving to Node #0,3,2
Current State: 17:[79, 49], Operations: ['97-87=10', '39+10=49']
Exploring Operation: 79*49=3871, Resulting Numbers: [3871]
3871,17 unequal: No Solution
Exploring Operation: 79+49=128, Resulting Numbers: [128]
128,17 unequal: No Solution
Exploring Operation: 79-49=30, Resulting Numbers: [30]
30,17 unequal: No Solution
Moving to Node #0,1,2
Current State: 17:[18, 126], Operations: ['97-79=18', '87+39=126']
Exploring Operation: 18+126=144, Resulting Numbers: [144]
144,17 unequal: No Solution
Exploring Operation: 126/18=7, Resulting Numbers: [7]
7,17 unequal: No Solution
Exploring Operation: 18*126=2268, Resulting Numbers: [2268]
2268,17 unequal: No Solution
Exploring Operation: 126-18=108, Resulting Numbers: [108]
108,17 unequal: No Solution
Moving to Node #0,0,2
Current State: 17:[97, 47], Operations: ['87-79=8', '39+8=47']
Exploring Operation: 97*47=4559, Resulting Numbers: [4559]
4559,17 unequal: No Solution
Exploring Operation: 97-47=50, Resulting Numbers: [50]
50,17 unequal: No Solution
Exploring Operation: 97+47=144, Resulting Numbers: [144]
144,17 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
23,
46,
96,
8
] | 80 | [
"46/23=2",
"8*2=16",
"96-16=80"
] | Current State: 80:[23, 46, 96, 8], Operations: []
Exploring Operation: 46/23=2, Resulting Numbers: [96, 8, 2]
Generated Node #2: [96, 8, 2] from Operation: 46/23=2
Current State: 80:[96, 8, 2], Operations: ['46/23=2']
Exploring Operation: 8*2=16, Resulting Numbers: [96, 16]
Generated Node #3: [96, 16] from Operation: 8*2=16
Current State: 80:[96, 16], Operations: ['46/23=2', '8*2=16']
Exploring Operation: 96-16=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[23, 46, 96, 8], Operations: []
Exploring Operation: 96/8=12, Resulting Numbers: [23, 46, 12]
Generated Node #0,0: 80:[23, 46, 12] Operation: 96/8=12
Moving to Node #0,0
Current State: 80:[23, 46, 12], Operations: ['96/8=12']
Exploring Operation: 46/23=2, Resulting Numbers: [12, 2]
Generated Node #0,0,0: 80:[12, 2] Operation: 46/23=2
Moving to Node #0,0,0
Current State: 80:[12, 2], Operations: ['96/8=12', '46/23=2']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,80 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
79,
41,
24,
75
] | 61 | [
"79-41=38",
"24+75=99",
"99-38=61"
] | Current State: 61:[79, 41, 24, 75], Operations: []
Exploring Operation: 79-41=38, Resulting Numbers: [24, 75, 38]
Generated Node #2: [24, 75, 38] from Operation: 79-41=38
Current State: 61:[24, 75, 38], Operations: ['79-41=38']
Exploring Operation: 24+75=99, Resulting Numbers: [38, 99]
Generated Node #3: [38, 99] from Operation: 24+75=99
Current State: 61:[38, 99], Operations: ['79-41=38', '24+75=99']
Exploring Operation: 99-38=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[79, 41, 24, 75], Operations: []
Exploring Operation: 79+24=103, Resulting Numbers: [41, 75, 103]
Generated Node #0,0: 61:[41, 75, 103] Operation: 79+24=103
Exploring Operation: 79-41=38, Resulting Numbers: [24, 75, 38]
Generated Node #0,1: 61:[24, 75, 38] Operation: 79-41=38
Exploring Operation: 75-24=51, Resulting Numbers: [79, 41, 51]
Generated Node #0,2: 61:[79, 41, 51] Operation: 75-24=51
Exploring Operation: 79-24=55, Resulting Numbers: [41, 75, 55]
Generated Node #0,3: 61:[41, 75, 55] Operation: 79-24=55
Exploring Operation: 41+24=65, Resulting Numbers: [79, 75, 65]
Generated Node #0,4: 61:[79, 75, 65] Operation: 41+24=65
Moving to Node #0,4
Current State: 61:[79, 75, 65], Operations: ['41+24=65']
Exploring Operation: 75-65=10, Resulting Numbers: [79, 10]
Generated Node #0,4,0: 61:[79, 10] Operation: 75-65=10
Exploring Operation: 79+65=144, Resulting Numbers: [75, 144]
Generated Node #0,4,1: 61:[75, 144] Operation: 79+65=144
Exploring Operation: 79-65=14, Resulting Numbers: [75, 14]
Generated Node #0,4,2: 61:[75, 14] Operation: 79-65=14
Exploring Operation: 79-75=4, Resulting Numbers: [65, 4]
Generated Node #0,4,3: 61:[65, 4] Operation: 79-75=4
Exploring Operation: 79+75=154, Resulting Numbers: [65, 154]
Generated Node #0,4,4: 61:[65, 154] Operation: 79+75=154
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 61:[75, 14], Operations: ['41+24=65', '79-65=14']
Exploring Operation: 75*14=1050, Resulting Numbers: [1050]
1050,61 unequal: No Solution
Exploring Operation: 75+14=89, Resulting Numbers: [89]
89,61 unequal: No Solution
Exploring Operation: 75-14=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[79, 41, 24, 75], Operations: []
Exploring Operation: 41+24=65, Resulting Numbers: [79, 75, 65]
Generated Node #0,4: 61:[79, 75, 65] Operation: 41+24=65
Moving to Node #0,4
Current State: 61:[79, 75, 65], Operations: ['41+24=65']
Exploring Operation: 79-65=14, Resulting Numbers: [75, 14]
Generated Node #0,4,2: 61:[75, 14] Operation: 79-65=14
Moving to Node #0,4,2
Current State: 61:[75, 14], Operations: ['41+24=65', '79-65=14']
Exploring Operation: 75-14=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
94,
12,
77,
97
] | 41 | [
"97-94=3",
"12*3=36",
"77-36=41"
] | Current State: 41:[94, 12, 77, 97], Operations: []
Exploring Operation: 97-94=3, Resulting Numbers: [12, 77, 3]
Generated Node #2: [12, 77, 3] from Operation: 97-94=3
Current State: 41:[12, 77, 3], Operations: ['97-94=3']
Exploring Operation: 12*3=36, Resulting Numbers: [77, 36]
Generated Node #3: [77, 36] from Operation: 12*3=36
Current State: 41:[77, 36], Operations: ['97-94=3', '12*3=36']
Exploring Operation: 77-36=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[94, 12, 77, 97], Operations: []
Exploring Operation: 94-77=17, Resulting Numbers: [12, 97, 17]
Generated Node #0,0: 41:[12, 97, 17] Operation: 94-77=17
Exploring Operation: 97-77=20, Resulting Numbers: [94, 12, 20]
Generated Node #0,1: 41:[94, 12, 20] Operation: 97-77=20
Exploring Operation: 97-94=3, Resulting Numbers: [12, 77, 3]
Generated Node #0,2: 41:[12, 77, 3] Operation: 97-94=3
Moving to Node #0,1
Current State: 41:[94, 12, 20], Operations: ['97-77=20']
Exploring Operation: 94-20=74, Resulting Numbers: [12, 74]
Generated Node #0,1,0: 41:[12, 74] Operation: 94-20=74
Exploring Operation: 94-12=82, Resulting Numbers: [20, 82]
Generated Node #0,1,1: 41:[20, 82] Operation: 94-12=82
Exploring Operation: 12+20=32, Resulting Numbers: [94, 32]
Generated Node #0,1,2: 41:[94, 32] Operation: 12+20=32
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 41:[12, 74], Operations: ['97-77=20', '94-20=74']
Exploring Operation: 12*74=888, Resulting Numbers: [888]
888,41 unequal: No Solution
Exploring Operation: 74-12=62, Resulting Numbers: [62]
62,41 unequal: No Solution
Exploring Operation: 12+74=86, Resulting Numbers: [86]
86,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 41:[20, 82], Operations: ['97-77=20', '94-12=82']
Exploring Operation: 20*82=1640, Resulting Numbers: [1640]
1640,41 unequal: No Solution
Exploring Operation: 82-20=62, Resulting Numbers: [62]
62,41 unequal: No Solution
Exploring Operation: 20+82=102, Resulting Numbers: [102]
102,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 41:[94, 32], Operations: ['97-77=20', '12+20=32']
Exploring Operation: 94+32=126, Resulting Numbers: [126]
126,41 unequal: No Solution
Exploring Operation: 94-32=62, Resulting Numbers: [62]
62,41 unequal: No Solution
Exploring Operation: 94*32=3008, Resulting Numbers: [3008]
3008,41 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: 41:[12, 77, 3], Operations: ['97-94=3']
Exploring Operation: 77-12=65, Resulting Numbers: [3, 65]
Generated Node #0,2,0: 41:[3, 65] Operation: 77-12=65
Exploring Operation: 12+3=15, Resulting Numbers: [77, 15]
Generated Node #0,2,1: 41:[77, 15] Operation: 12+3=15
Exploring Operation: 12*3=36, Resulting Numbers: [77, 36]
Generated Node #0,2,2: 41:[77, 36] Operation: 12*3=36
Moving to Node #0,0
Current State: 41:[12, 97, 17], Operations: ['94-77=17']
Exploring Operation: 12+17=29, Resulting Numbers: [97, 29]
Generated Node #0,0,0: 41:[97, 29] Operation: 12+17=29
Exploring Operation: 97-17=80, Resulting Numbers: [12, 80]
Generated Node #0,0,1: 41:[12, 80] Operation: 97-17=80
Exploring Operation: 97-12=85, Resulting Numbers: [17, 85]
Generated Node #0,0,2: 41:[17, 85] Operation: 97-12=85
Moving to Node #0,2,2
Current State: 41:[77, 36], Operations: ['97-94=3', '12*3=36']
Exploring Operation: 77-36=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[94, 12, 77, 97], Operations: []
Exploring Operation: 97-94=3, Resulting Numbers: [12, 77, 3]
Generated Node #0,2: 41:[12, 77, 3] Operation: 97-94=3
Moving to Node #0,2
Current State: 41:[12, 77, 3], Operations: ['97-94=3']
Exploring Operation: 12*3=36, Resulting Numbers: [77, 36]
Generated Node #0,2,2: 41:[77, 36] Operation: 12*3=36
Moving to Node #0,2,2
Current State: 41:[77, 36], Operations: ['97-94=3', '12*3=36']
Exploring Operation: 77-36=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 0.977431 | hs_3 | sum_heuristic |
[
64,
69,
32,
23
] | 48 | [
"64/32=2",
"69-23=46",
"2+46=48"
] | Current State: 48:[64, 69, 32, 23], Operations: []
Exploring Operation: 64/32=2, Resulting Numbers: [69, 23, 2]
Generated Node #2: [69, 23, 2] from Operation: 64/32=2
Current State: 48:[69, 23, 2], Operations: ['64/32=2']
Exploring Operation: 69-23=46, Resulting Numbers: [2, 46]
Generated Node #3: [2, 46] from Operation: 69-23=46
Current State: 48:[2, 46], Operations: ['64/32=2', '69-23=46']
Exploring Operation: 2+46=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[64, 69, 32, 23], Operations: []
Exploring Operation: 69-64=5, Resulting Numbers: [32, 23, 5]
Generated Node #0,0: 48:[32, 23, 5] Operation: 69-64=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[32, 23, 5], Operations: ['69-64=5']
Exploring Operation: 32-23=9, Resulting Numbers: [5, 9]
Generated Node #0,0,0: 48:[5, 9] Operation: 32-23=9
Moving to Node #0,0,0
Current State: 48:[5, 9], Operations: ['69-64=5', '32-23=9']
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,48 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 |
[
71,
98,
23,
98
] | 47 | [
"71-23=48",
"98/98=1",
"48-1=47"
] | Current State: 47:[71, 98, 23, 98], Operations: []
Exploring Operation: 71-23=48, Resulting Numbers: [98, 98, 48]
Generated Node #2: [98, 98, 48] from Operation: 71-23=48
Current State: 47:[98, 98, 48], Operations: ['71-23=48']
Exploring Operation: 98/98=1, Resulting Numbers: [48, 1]
Generated Node #3: [48, 1] from Operation: 98/98=1
Current State: 47:[48, 1], Operations: ['71-23=48', '98/98=1']
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[71, 98, 23, 98], Operations: []
Exploring Operation: 98-71=27, Resulting Numbers: [23, 98, 27]
Generated Node #0,0: 47:[23, 98, 27] Operation: 98-71=27
Exploring Operation: 98-98=0, Resulting Numbers: [71, 23, 0]
Generated Node #0,1: 47:[71, 23, 0] Operation: 98-98=0
Exploring Operation: 98/98=1, Resulting Numbers: [71, 23, 1]
Generated Node #0,2: 47:[71, 23, 1] Operation: 98/98=1
Exploring Operation: 98-71=27, Resulting Numbers: [98, 23, 27]
Generated Node #0,3: 47:[98, 23, 27] Operation: 98-71=27
Start Sub Search at level 1: Moving to Node #0,2
Current State: 47:[71, 23, 1], Operations: ['98/98=1']
Exploring Operation: 23+1=24, Resulting Numbers: [71, 24]
Generated Node #0,2,0: 47:[71, 24] Operation: 23+1=24
Exploring Operation: 71-1=70, Resulting Numbers: [23, 70]
Generated Node #0,2,1: 47:[23, 70] Operation: 71-1=70
Exploring Operation: 71-23=48, Resulting Numbers: [1, 48]
Generated Node #0,2,2: 47:[1, 48] Operation: 71-23=48
Exploring Operation: 71*1=71, Resulting Numbers: [23, 71]
Generated Node #0,2,3: 47:[23, 71] Operation: 71*1=71
Moving to Node #0,2,0
Current State: 47:[71, 24], Operations: ['98/98=1', '23+1=24']
Exploring Operation: 71*24=1704, Resulting Numbers: [1704]
1704,47 unequal: No Solution
Exploring Operation: 71-24=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[71, 98, 23, 98], Operations: []
Exploring Operation: 98/98=1, Resulting Numbers: [71, 23, 1]
Generated Node #0,2: 47:[71, 23, 1] Operation: 98/98=1
Moving to Node #0,2
Current State: 47:[71, 23, 1], Operations: ['98/98=1']
Exploring Operation: 23+1=24, Resulting Numbers: [71, 24]
Generated Node #0,2,0: 47:[71, 24] Operation: 23+1=24
Moving to Node #0,2,0
Current State: 47:[71, 24], Operations: ['98/98=1', '23+1=24']
Exploring Operation: 71-24=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
31,
55,
8,
5
] | 92 | [
"31*5=155",
"55+8=63",
"155-63=92"
] | Current State: 92:[31, 55, 8, 5], Operations: []
Exploring Operation: 31*5=155, Resulting Numbers: [55, 8, 155]
Generated Node #2: [55, 8, 155] from Operation: 31*5=155
Current State: 92:[55, 8, 155], Operations: ['31*5=155']
Exploring Operation: 55+8=63, Resulting Numbers: [155, 63]
Generated Node #3: [155, 63] from Operation: 55+8=63
Current State: 92:[155, 63], Operations: ['31*5=155', '55+8=63']
Exploring Operation: 155-63=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[31, 55, 8, 5], Operations: []
Exploring Operation: 31-8=23, Resulting Numbers: [55, 5, 23]
Generated Node #0,0: 92:[55, 5, 23] Operation: 31-8=23
Exploring Operation: 55-31=24, Resulting Numbers: [8, 5, 24]
Generated Node #0,1: 92:[8, 5, 24] Operation: 55-31=24
Exploring Operation: 31+55=86, Resulting Numbers: [8, 5, 86]
Generated Node #0,2: 92:[8, 5, 86] Operation: 31+55=86
Exploring Operation: 55-8=47, Resulting Numbers: [31, 5, 47]
Generated Node #0,3: 92:[31, 5, 47] Operation: 55-8=47
Exploring Operation: 31-5=26, Resulting Numbers: [55, 8, 26]
Generated Node #0,4: 92:[55, 8, 26] Operation: 31-5=26
Start Sub Search at level 1: Moving to Node #0,1
Current State: 92:[8, 5, 24], Operations: ['55-31=24']
Exploring Operation: 24/8=3, Resulting Numbers: [5, 3]
Generated Node #0,1,0: 92:[5, 3] Operation: 24/8=3
Exploring Operation: 24-5=19, Resulting Numbers: [8, 19]
Generated Node #0,1,1: 92:[8, 19] Operation: 24-5=19
Exploring Operation: 8-5=3, Resulting Numbers: [24, 3]
Generated Node #0,1,2: 92:[24, 3] Operation: 8-5=3
Exploring Operation: 8*5=40, Resulting Numbers: [24, 40]
Generated Node #0,1,3: 92:[24, 40] Operation: 8*5=40
Exploring Operation: 24-8=16, Resulting Numbers: [5, 16]
Generated Node #0,1,4: 92:[5, 16] Operation: 24-8=16
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 92:[5, 3], Operations: ['55-31=24', '24/8=3']
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,92 unequal: No Solution
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,92 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 92:[24, 3], Operations: ['55-31=24', '8-5=3']
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,92 unequal: No Solution
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,92 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,92 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 92:[24, 40], Operations: ['55-31=24', '8*5=40']
Exploring Operation: 40-24=16, Resulting Numbers: [16]
16,92 unequal: No Solution
Exploring Operation: 24*40=960, Resulting Numbers: [960]
960,92 unequal: No Solution
Exploring Operation: 24+40=64, Resulting Numbers: [64]
64,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 92:[8, 19], Operations: ['55-31=24', '24-5=19']
Exploring Operation: 8*19=152, Resulting Numbers: [152]
152,92 unequal: No Solution
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,92 unequal: No Solution
Exploring Operation: 8+19=27, Resulting Numbers: [27]
27,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 92:[5, 16], Operations: ['55-31=24', '24-8=16']
Exploring Operation: 5+16=21, Resulting Numbers: [21]
21,92 unequal: No Solution
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,92 unequal: No Solution
Exploring Operation: 5*16=80, Resulting Numbers: [80]
80,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[55, 5, 23], Operations: ['31-8=23']
Exploring Operation: 55-5=50, Resulting Numbers: [23, 50]
Generated Node #0,0,0: 92:[23, 50] Operation: 55-5=50
Exploring Operation: 55-23=32, Resulting Numbers: [5, 32]
Generated Node #0,0,1: 92:[5, 32] Operation: 55-23=32
Exploring Operation: 5+23=28, Resulting Numbers: [55, 28]
Generated Node #0,0,2: 92:[55, 28] Operation: 5+23=28
Exploring Operation: 55/5=11, Resulting Numbers: [23, 11]
Generated Node #0,0,3: 92:[23, 11] Operation: 55/5=11
Exploring Operation: 55+5=60, Resulting Numbers: [23, 60]
Generated Node #0,0,4: 92:[23, 60] Operation: 55+5=60
Moving to Node #0,0,0
Current State: 92:[23, 50], Operations: ['31-8=23', '55-5=50']
Exploring Operation: 50-23=27, Resulting Numbers: [27]
27,92 unequal: No Solution
Exploring Operation: 23*50=1150, Resulting Numbers: [1150]
1150,92 unequal: No Solution
Exploring Operation: 23+50=73, Resulting Numbers: [73]
73,92 unequal: No Solution
Moving to Node #0,0,3
Current State: 92:[23, 11], Operations: ['31-8=23', '55/5=11']
Exploring Operation: 23*11=253, Resulting Numbers: [253]
253,92 unequal: No Solution
Exploring Operation: 23+11=34, Resulting Numbers: [34]
34,92 unequal: No Solution
Exploring Operation: 23-11=12, Resulting Numbers: [12]
12,92 unequal: No Solution
Moving to Node #0,0,1
Current State: 92:[5, 32], Operations: ['31-8=23', '55-23=32']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,92 unequal: No Solution
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,92 unequal: No Solution
Exploring Operation: 5*32=160, Resulting Numbers: [160]
160,92 unequal: No Solution
Moving to Node #0,0,2
Current State: 92:[55, 28], Operations: ['31-8=23', '5+23=28']
Exploring Operation: 55-28=27, Resulting Numbers: [27]
27,92 unequal: No Solution
Exploring Operation: 55*28=1540, Resulting Numbers: [1540]
1540,92 unequal: No Solution
Exploring Operation: 55+28=83, Resulting Numbers: [83]
83,92 unequal: No Solution
Moving to Node #0,0,4
Current State: 92:[23, 60], Operations: ['31-8=23', '55+5=60']
Exploring Operation: 23+60=83, Resulting Numbers: [83]
83,92 unequal: No Solution
Exploring Operation: 23*60=1380, Resulting Numbers: [1380]
1380,92 unequal: No Solution
Exploring Operation: 60-23=37, Resulting Numbers: [37]
37,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 92:[31, 5, 47], Operations: ['55-8=47']
Exploring Operation: 31+5=36, Resulting Numbers: [47, 36]
Generated Node #0,3,0: 92:[47, 36] Operation: 31+5=36
Exploring Operation: 47-31=16, Resulting Numbers: [5, 16]
Generated Node #0,3,1: 92:[5, 16] Operation: 47-31=16
Exploring Operation: 47-5=42, Resulting Numbers: [31, 42]
Generated Node #0,3,2: 92:[31, 42] Operation: 47-5=42
Exploring Operation: 5+47=52, Resulting Numbers: [31, 52]
Generated Node #0,3,3: 92:[31, 52] Operation: 5+47=52
Exploring Operation: 31-5=26, Resulting Numbers: [47, 26]
Generated Node #0,3,4: 92:[47, 26] Operation: 31-5=26
Moving to Node #0,3,4
Current State: 92:[47, 26], Operations: ['55-8=47', '31-5=26']
Exploring Operation: 47+26=73, Resulting Numbers: [73]
73,92 unequal: No Solution
Exploring Operation: 47*26=1222, Resulting Numbers: [1222]
1222,92 unequal: No Solution
Exploring Operation: 47-26=21, Resulting Numbers: [21]
21,92 unequal: No Solution
Moving to Node #0,3,1
Current State: 92:[5, 16], Operations: ['55-8=47', '47-31=16']
Exploring Operation: 5+16=21, Resulting Numbers: [21]
21,92 unequal: No Solution
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,92 unequal: No Solution
Exploring Operation: 5*16=80, Resulting Numbers: [80]
80,92 unequal: No Solution
Moving to Node #0,3,0
Current State: 92:[47, 36], Operations: ['55-8=47', '31+5=36']
Exploring Operation: 47+36=83, Resulting Numbers: [83]
83,92 unequal: No Solution
Exploring Operation: 47*36=1692, Resulting Numbers: [1692]
1692,92 unequal: No Solution
Exploring Operation: 47-36=11, Resulting Numbers: [11]
11,92 unequal: No Solution
Moving to Node #0,3,2
Current State: 92:[31, 42], Operations: ['55-8=47', '47-5=42']
Exploring Operation: 31*42=1302, Resulting Numbers: [1302]
1302,92 unequal: No Solution
Exploring Operation: 31+42=73, Resulting Numbers: [73]
73,92 unequal: No Solution
Exploring Operation: 42-31=11, Resulting Numbers: [11]
11,92 unequal: No Solution
Moving to Node #0,3,3
Current State: 92:[31, 52], Operations: ['55-8=47', '5+47=52']
Exploring Operation: 31*52=1612, Resulting Numbers: [1612]
1612,92 unequal: No Solution
Exploring Operation: 31+52=83, Resulting Numbers: [83]
83,92 unequal: No Solution
Exploring Operation: 52-31=21, Resulting Numbers: [21]
21,92 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
Current State: 92:[8, 5, 86], Operations: ['31+55=86']
Exploring Operation: 5+86=91, Resulting Numbers: [8, 91]
Generated Node #0,2,0: 92:[8, 91] Operation: 5+86=91
Exploring Operation: 8*5=40, Resulting Numbers: [86, 40]
Generated Node #0,2,1: 92:[86, 40] Operation: 8*5=40
Exploring Operation: 8+5=13, Resulting Numbers: [86, 13]
Generated Node #0,2,2: 92:[86, 13] Operation: 8+5=13
Exploring Operation: 8+86=94, Resulting Numbers: [5, 94]
Generated Node #0,2,3: 92:[5, 94] Operation: 8+86=94
Exploring Operation: 8-5=3, Resulting Numbers: [86, 3]
Generated Node #0,2,4: 92:[86, 3] Operation: 8-5=3
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 92:[5, 94], Operations: ['31+55=86', '8+86=94']
Exploring Operation: 5*94=470, Resulting Numbers: [470]
470,92 unequal: No Solution
Exploring Operation: 94-5=89, Resulting Numbers: [89]
89,92 unequal: No Solution
Exploring Operation: 5+94=99, Resulting Numbers: [99]
99,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 92:[8, 91], Operations: ['31+55=86', '5+86=91']
Exploring Operation: 91-8=83, Resulting Numbers: [83]
83,92 unequal: No Solution
Exploring Operation: 8+91=99, Resulting Numbers: [99]
99,92 unequal: No Solution
Exploring Operation: 8*91=728, Resulting Numbers: [728]
728,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 92:[86, 3], Operations: ['31+55=86', '8-5=3']
Exploring Operation: 86+3=89, Resulting Numbers: [89]
89,92 unequal: No Solution
Exploring Operation: 86*3=258, Resulting Numbers: [258]
258,92 unequal: No Solution
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 92:[86, 40], Operations: ['31+55=86', '8*5=40']
Exploring Operation: 86-40=46, Resulting Numbers: [46]
46,92 unequal: No Solution
Exploring Operation: 86+40=126, Resulting Numbers: [126]
126,92 unequal: No Solution
Exploring Operation: 86*40=3440, Resulting Numbers: [3440]
3440,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 92:[86, 13], Operations: ['31+55=86', '8+5=13']
Exploring Operation: 86*13=1118, Resulting Numbers: [1118]
1118,92 unequal: No Solution
Exploring Operation: 86+13=99, Resulting Numbers: [99]
99,92 unequal: No Solution
Exploring Operation: 86-13=73, Resulting Numbers: [73]
73,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 92:[55, 8, 26], Operations: ['31-5=26']
Exploring Operation: 55-8=47, Resulting Numbers: [26, 47]
Generated Node #0,4,0: 92:[26, 47] Operation: 55-8=47
Exploring Operation: 55+26=81, Resulting Numbers: [8, 81]
Generated Node #0,4,1: 92:[8, 81] Operation: 55+26=81
Exploring Operation: 26-8=18, Resulting Numbers: [55, 18]
Generated Node #0,4,2: 92:[55, 18] Operation: 26-8=18
Exploring Operation: 55-26=29, Resulting Numbers: [8, 29]
Generated Node #0,4,3: 92:[8, 29] Operation: 55-26=29
Exploring Operation: 55+8=63, Resulting Numbers: [26, 63]
Generated Node #0,4,4: 92:[26, 63] Operation: 55+8=63
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 92:[26, 47], Operations: ['31-5=26', '55-8=47']
Exploring Operation: 47-26=21, Resulting Numbers: [21]
21,92 unequal: No Solution
Exploring Operation: 26+47=73, Resulting Numbers: [73]
73,92 unequal: No Solution
Exploring Operation: 26*47=1222, Resulting Numbers: [1222]
1222,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 92:[8, 29], Operations: ['31-5=26', '55-26=29']
Exploring Operation: 8+29=37, Resulting Numbers: [37]
37,92 unequal: No Solution
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,92 unequal: No Solution
Exploring Operation: 8*29=232, Resulting Numbers: [232]
232,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 92:[55, 18], Operations: ['31-5=26', '26-8=18']
Exploring Operation: 55*18=990, Resulting Numbers: [990]
990,92 unequal: No Solution
Exploring Operation: 55-18=37, Resulting Numbers: [37]
37,92 unequal: No Solution
Exploring Operation: 55+18=73, Resulting Numbers: [73]
73,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 92:[8, 81], Operations: ['31-5=26', '55+26=81']
Exploring Operation: 8*81=648, Resulting Numbers: [648]
648,92 unequal: No Solution
Exploring Operation: 81-8=73, Resulting Numbers: [73]
73,92 unequal: No Solution
Exploring Operation: 8+81=89, Resulting Numbers: [89]
89,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 92:[26, 63], Operations: ['31-5=26', '55+8=63']
Exploring Operation: 26+63=89, Resulting Numbers: [89]
89,92 unequal: No Solution
Exploring Operation: 26*63=1638, Resulting Numbers: [1638]
1638,92 unequal: No Solution
Exploring Operation: 63-26=37, Resulting Numbers: [37]
37,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
29,
68,
48,
48
] | 96 | [
"29+68=97",
"48/48=1",
"97-1=96"
] | Current State: 96:[29, 68, 48, 48], Operations: []
Exploring Operation: 29+68=97, Resulting Numbers: [48, 48, 97]
Generated Node #2: [48, 48, 97] from Operation: 29+68=97
Current State: 96:[48, 48, 97], Operations: ['29+68=97']
Exploring Operation: 48/48=1, Resulting Numbers: [97, 1]
Generated Node #3: [97, 1] from Operation: 48/48=1
Current State: 96:[97, 1], Operations: ['29+68=97', '48/48=1']
Exploring Operation: 97-1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[29, 68, 48, 48], Operations: []
Exploring Operation: 68-48=20, Resulting Numbers: [29, 48, 20]
Generated Node #0,0: 96:[29, 48, 20] Operation: 68-48=20
Exploring Operation: 68-48=20, Resulting Numbers: [29, 48, 20]
Generated Node #0,1: 96:[29, 48, 20] Operation: 68-48=20
Exploring Operation: 29+68=97, Resulting Numbers: [48, 48, 97]
Generated Node #0,2: 96:[48, 48, 97] Operation: 29+68=97
Exploring Operation: 68-29=39, Resulting Numbers: [48, 48, 39]
Generated Node #0,3: 96:[48, 48, 39] Operation: 68-29=39
Moving to Node #0,2
Current State: 96:[48, 48, 97], Operations: ['29+68=97']
Exploring Operation: 97-48=49, Resulting Numbers: [48, 49]
Generated Node #0,2,0: 96:[48, 49] Operation: 97-48=49
Exploring Operation: 48/48=1, Resulting Numbers: [97, 1]
Generated Node #0,2,1: 96:[97, 1] Operation: 48/48=1
Exploring Operation: 48+48=96, Resulting Numbers: [97, 96]
Generated Node #0,2,2: 96:[97, 96] Operation: 48+48=96
Exploring Operation: 97-48=49, Resulting Numbers: [48, 49]
Generated Node #0,2,3: 96:[48, 49] Operation: 97-48=49
Moving to Node #0,1
Current State: 96:[29, 48, 20], Operations: ['68-48=20']
Exploring Operation: 48-20=28, Resulting Numbers: [29, 28]
Generated Node #0,1,0: 96:[29, 28] Operation: 48-20=28
Exploring Operation: 48-29=19, Resulting Numbers: [20, 19]
Generated Node #0,1,1: 96:[20, 19] Operation: 48-29=19
Exploring Operation: 29-20=9, Resulting Numbers: [48, 9]
Generated Node #0,1,2: 96:[48, 9] Operation: 29-20=9
Exploring Operation: 29+20=49, Resulting Numbers: [48, 49]
Generated Node #0,1,3: 96:[48, 49] Operation: 29+20=49
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 96:[48, 9], Operations: ['68-48=20', '29-20=9']
Exploring Operation: 48*9=432, Resulting Numbers: [432]
432,96 unequal: No Solution
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,96 unequal: No Solution
Exploring Operation: 48+9=57, Resulting Numbers: [57]
57,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 96:[48, 49], Operations: ['68-48=20', '29+20=49']
Exploring Operation: 48+49=97, Resulting Numbers: [97]
97,96 unequal: No Solution
Exploring Operation: 49-48=1, Resulting Numbers: [1]
1,96 unequal: No Solution
Exploring Operation: 48*49=2352, Resulting Numbers: [2352]
2352,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 96:[29, 28], Operations: ['68-48=20', '48-20=28']
Exploring Operation: 29+28=57, Resulting Numbers: [57]
57,96 unequal: No Solution
Exploring Operation: 29-28=1, Resulting Numbers: [1]
1,96 unequal: No Solution
Exploring Operation: 29*28=812, Resulting Numbers: [812]
812,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 96:[20, 19], Operations: ['68-48=20', '48-29=19']
Exploring Operation: 20+19=39, Resulting Numbers: [39]
39,96 unequal: No Solution
Exploring Operation: 20*19=380, Resulting Numbers: [380]
380,96 unequal: No Solution
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,96 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: 96:[29, 48, 20], Operations: ['68-48=20']
Exploring Operation: 29+20=49, Resulting Numbers: [48, 49]
Generated Node #0,0,0: 96:[48, 49] Operation: 29+20=49
Exploring Operation: 48-29=19, Resulting Numbers: [20, 19]
Generated Node #0,0,1: 96:[20, 19] Operation: 48-29=19
Exploring Operation: 48-20=28, Resulting Numbers: [29, 28]
Generated Node #0,0,2: 96:[29, 28] Operation: 48-20=28
Exploring Operation: 29-20=9, Resulting Numbers: [48, 9]
Generated Node #0,0,3: 96:[48, 9] Operation: 29-20=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 96:[48, 49], Operations: ['68-48=20', '29+20=49']
Exploring Operation: 49-48=1, Resulting Numbers: [1]
1,96 unequal: No Solution
Exploring Operation: 48+49=97, Resulting Numbers: [97]
97,96 unequal: No Solution
Exploring Operation: 48*49=2352, Resulting Numbers: [2352]
2352,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 96:[48, 9], Operations: ['68-48=20', '29-20=9']
Exploring Operation: 48+9=57, Resulting Numbers: [57]
57,96 unequal: No Solution
Exploring Operation: 48*9=432, Resulting Numbers: [432]
432,96 unequal: No Solution
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 96:[20, 19], Operations: ['68-48=20', '48-29=19']
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,96 unequal: No Solution
Exploring Operation: 20+19=39, Resulting Numbers: [39]
39,96 unequal: No Solution
Exploring Operation: 20*19=380, Resulting Numbers: [380]
380,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 96:[29, 28], Operations: ['68-48=20', '48-20=28']
Exploring Operation: 29-28=1, Resulting Numbers: [1]
1,96 unequal: No Solution
Exploring Operation: 29+28=57, Resulting Numbers: [57]
57,96 unequal: No Solution
Exploring Operation: 29*28=812, Resulting Numbers: [812]
812,96 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: 96:[48, 48, 39], Operations: ['68-29=39']
Exploring Operation: 48+48=96, Resulting Numbers: [39, 96]
Generated Node #0,3,0: 96:[39, 96] Operation: 48+48=96
Exploring Operation: 48-39=9, Resulting Numbers: [48, 9]
Generated Node #0,3,1: 96:[48, 9] Operation: 48-39=9
Exploring Operation: 48/48=1, Resulting Numbers: [39, 1]
Generated Node #0,3,2: 96:[39, 1] Operation: 48/48=1
Exploring Operation: 48-39=9, Resulting Numbers: [48, 9]
Generated Node #0,3,3: 96:[48, 9] Operation: 48-39=9
Moving to Node #0,2,0
Current State: 96:[48, 49], Operations: ['29+68=97', '97-48=49']
Exploring Operation: 48+49=97, Resulting Numbers: [97]
97,96 unequal: No Solution
Exploring Operation: 49-48=1, Resulting Numbers: [1]
1,96 unequal: No Solution
Exploring Operation: 48*49=2352, Resulting Numbers: [2352]
2352,96 unequal: No Solution
Moving to Node #0,2,3
Current State: 96:[48, 49], Operations: ['29+68=97', '97-48=49']
Exploring Operation: 48+49=97, Resulting Numbers: [97]
97,96 unequal: No Solution
Exploring Operation: 49-48=1, Resulting Numbers: [1]
1,96 unequal: No Solution
Exploring Operation: 48*49=2352, Resulting Numbers: [2352]
2352,96 unequal: No Solution
Moving to Node #0,3,3
Current State: 96:[48, 9], Operations: ['68-29=39', '48-39=9']
Exploring Operation: 48+9=57, Resulting Numbers: [57]
57,96 unequal: No Solution
Exploring Operation: 48*9=432, Resulting Numbers: [432]
432,96 unequal: No Solution
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,96 unequal: No Solution
Moving to Node #0,2,2
Current State: 96:[97, 96], Operations: ['29+68=97', '48+48=96']
Exploring Operation: 97*96=9312, Resulting Numbers: [9312]
9312,96 unequal: No Solution
Exploring Operation: 97+96=193, Resulting Numbers: [193]
193,96 unequal: No Solution
Exploring Operation: 97-96=1, Resulting Numbers: [1]
1,96 unequal: No Solution
Moving to Node #0,3,1
Current State: 96:[48, 9], Operations: ['68-29=39', '48-39=9']
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,96 unequal: No Solution
Exploring Operation: 48+9=57, Resulting Numbers: [57]
57,96 unequal: No Solution
Exploring Operation: 48*9=432, Resulting Numbers: [432]
432,96 unequal: No Solution
Moving to Node #0,2,1
Current State: 96:[97, 1], Operations: ['29+68=97', '48/48=1']
Exploring Operation: 97-1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[29, 68, 48, 48], Operations: []
Exploring Operation: 29+68=97, Resulting Numbers: [48, 48, 97]
Generated Node #0,2: 96:[48, 48, 97] Operation: 29+68=97
Moving to Node #0,2
Current State: 96:[48, 48, 97], Operations: ['29+68=97']
Exploring Operation: 48/48=1, Resulting Numbers: [97, 1]
Generated Node #0,2,1: 96:[97, 1] Operation: 48/48=1
Moving to Node #0,2,1
Current State: 96:[97, 1], Operations: ['29+68=97', '48/48=1']
Exploring Operation: 97-1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 0.944444 | hs_4 | mult_heuristic |
[
4,
82,
27,
85
] | 39 | [
"85-82=3",
"4*3=12",
"27+12=39"
] | Current State: 39:[4, 82, 27, 85], Operations: []
Exploring Operation: 85-82=3, Resulting Numbers: [4, 27, 3]
Generated Node #2: [4, 27, 3] from Operation: 85-82=3
Current State: 39:[4, 27, 3], Operations: ['85-82=3']
Exploring Operation: 4*3=12, Resulting Numbers: [27, 12]
Generated Node #3: [27, 12] from Operation: 4*3=12
Current State: 39:[27, 12], Operations: ['85-82=3', '4*3=12']
Exploring Operation: 27+12=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[4, 82, 27, 85], Operations: []
Exploring Operation: 82-27=55, Resulting Numbers: [4, 85, 55]
Generated Node #0,0: 39:[4, 85, 55] Operation: 82-27=55
Exploring Operation: 85-82=3, Resulting Numbers: [4, 27, 3]
Generated Node #0,1: 39:[4, 27, 3] Operation: 85-82=3
Moving to Node #0,1
Current State: 39:[4, 27, 3], Operations: ['85-82=3']
Exploring Operation: 4+27=31, Resulting Numbers: [3, 31]
Generated Node #0,1,0: 39:[3, 31] Operation: 4+27=31
Exploring Operation: 27/3=9, Resulting Numbers: [4, 9]
Generated Node #0,1,1: 39:[4, 9] Operation: 27/3=9
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 39:[4, 9], Operations: ['85-82=3', '27/3=9']
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,39 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 #0,1,0
Current State: 39:[3, 31], Operations: ['85-82=3', '4+27=31']
Exploring Operation: 3+31=34, Resulting Numbers: [34]
34,39 unequal: No Solution
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,39 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: 39:[4, 85, 55], Operations: ['82-27=55']
Exploring Operation: 85-4=81, Resulting Numbers: [55, 81]
Generated Node #0,0,0: 39:[55, 81] Operation: 85-4=81
Exploring Operation: 85-55=30, Resulting Numbers: [4, 30]
Generated Node #0,0,1: 39:[4, 30] Operation: 85-55=30
Moving to Node #0,0,1
Current State: 39:[4, 30], Operations: ['82-27=55', '85-55=30']
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,39 unequal: No Solution
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,39 unequal: No Solution
Moving to Node #0,0,0
Current State: 39:[55, 81], Operations: ['82-27=55', '85-4=81']
Exploring Operation: 55+81=136, Resulting Numbers: [136]
136,39 unequal: No Solution
Exploring Operation: 81-55=26, Resulting Numbers: [26]
26,39 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
34,
26,
8,
46
] | 39 | [
"46-34=12",
"26*12=312",
"312/8=39"
] | Current State: 39:[34, 26, 8, 46], Operations: []
Exploring Operation: 46-34=12, Resulting Numbers: [26, 8, 12]
Generated Node #2: [26, 8, 12] from Operation: 46-34=12
Current State: 39:[26, 8, 12], Operations: ['46-34=12']
Exploring Operation: 26*12=312, Resulting Numbers: [8, 312]
Generated Node #3: [8, 312] from Operation: 26*12=312
Current State: 39:[8, 312], Operations: ['46-34=12', '26*12=312']
Exploring Operation: 312/8=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[34, 26, 8, 46], Operations: []
Exploring Operation: 26+8=34, Resulting Numbers: [34, 46, 34]
Generated Node #0,0: 39:[34, 46, 34] Operation: 26+8=34
Exploring Operation: 46-34=12, Resulting Numbers: [26, 8, 12]
Generated Node #0,1: 39:[26, 8, 12] Operation: 46-34=12
Exploring Operation: 34-26=8, Resulting Numbers: [8, 46, 8]
Generated Node #0,2: 39:[8, 46, 8] Operation: 34-26=8
Exploring Operation: 26-8=18, Resulting Numbers: [34, 46, 18]
Generated Node #0,3: 39:[34, 46, 18] Operation: 26-8=18
Exploring Operation: 46-26=20, Resulting Numbers: [34, 8, 20]
Generated Node #0,4: 39:[34, 8, 20] Operation: 46-26=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[34, 46, 34], Operations: ['26+8=34']
Exploring Operation: 34+34=68, Resulting Numbers: [46, 68]
Generated Node #0,0,0: 39:[46, 68] Operation: 34+34=68
Exploring Operation: 34-34=0, Resulting Numbers: [46, 0]
Generated Node #0,0,1: 39:[46, 0] Operation: 34-34=0
Exploring Operation: 34/34=1, Resulting Numbers: [46, 1]
Generated Node #0,0,2: 39:[46, 1] Operation: 34/34=1
Exploring Operation: 46-34=12, Resulting Numbers: [34, 12]
Generated Node #0,0,3: 39:[34, 12] Operation: 46-34=12
Exploring Operation: 46-34=12, Resulting Numbers: [34, 12]
Generated Node #0,0,4: 39:[34, 12] Operation: 46-34=12
Moving to Node #0,0,3
Current State: 39:[34, 12], Operations: ['26+8=34', '46-34=12']
Exploring Operation: 34+12=46, Resulting Numbers: [46]
46,39 unequal: No Solution
Exploring Operation: 34-12=22, Resulting Numbers: [22]
22,39 unequal: No Solution
Exploring Operation: 34*12=408, Resulting Numbers: [408]
408,39 unequal: No Solution
Moving to Node #0,0,4
Current State: 39:[34, 12], Operations: ['26+8=34', '46-34=12']
Exploring Operation: 34-12=22, Resulting Numbers: [22]
22,39 unequal: No Solution
Exploring Operation: 34*12=408, Resulting Numbers: [408]
408,39 unequal: No Solution
Exploring Operation: 34+12=46, Resulting Numbers: [46]
46,39 unequal: No Solution
Moving to Node #0,0,2
Current State: 39:[46, 1], Operations: ['26+8=34', '34/34=1']
Exploring Operation: 46+1=47, Resulting Numbers: [47]
47,39 unequal: No Solution
Exploring Operation: 46*1=46, Resulting Numbers: [46]
46,39 unequal: No Solution
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,39 unequal: No Solution
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,39 unequal: No Solution
Moving to Node #0,0,1
Current State: 39:[46, 0], Operations: ['26+8=34', '34-34=0']
Exploring Operation: 46-0=46, Resulting Numbers: [46]
46,39 unequal: No Solution
Exploring Operation: 46*0=0, Resulting Numbers: [0]
0,39 unequal: No Solution
Exploring Operation: 46+0=46, Resulting Numbers: [46]
46,39 unequal: No Solution
Moving to Node #0,0,0
Current State: 39:[46, 68], Operations: ['26+8=34', '34+34=68']
Exploring Operation: 68-46=22, Resulting Numbers: [22]
22,39 unequal: No Solution
Exploring Operation: 46*68=3128, Resulting Numbers: [3128]
3128,39 unequal: No Solution
Exploring Operation: 46+68=114, Resulting Numbers: [114]
114,39 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:[8, 46, 8], Operations: ['34-26=8']
Exploring Operation: 46-8=38, Resulting Numbers: [8, 38]
Generated Node #0,2,0: 39:[8, 38] Operation: 46-8=38
Exploring Operation: 8-8=0, Resulting Numbers: [46, 0]
Generated Node #0,2,1: 39:[46, 0] Operation: 8-8=0
Exploring Operation: 46-8=38, Resulting Numbers: [8, 38]
Generated Node #0,2,2: 39:[8, 38] Operation: 46-8=38
Exploring Operation: 8/8=1, Resulting Numbers: [46, 1]
Generated Node #0,2,3: 39:[46, 1] Operation: 8/8=1
Exploring Operation: 8+8=16, Resulting Numbers: [46, 16]
Generated Node #0,2,4: 39:[46, 16] Operation: 8+8=16
Moving to Node #0,2,0
Current State: 39:[8, 38], Operations: ['34-26=8', '46-8=38']
Exploring Operation: 8+38=46, Resulting Numbers: [46]
46,39 unequal: No Solution
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,39 unequal: No Solution
Exploring Operation: 8*38=304, Resulting Numbers: [304]
304,39 unequal: No Solution
Moving to Node #0,2,2
Current State: 39:[8, 38], Operations: ['34-26=8', '46-8=38']
Exploring Operation: 8+38=46, Resulting Numbers: [46]
46,39 unequal: No Solution
Exploring Operation: 8*38=304, Resulting Numbers: [304]
304,39 unequal: No Solution
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,39 unequal: No Solution
Moving to Node #0,2,3
Current State: 39:[46, 1], Operations: ['34-26=8', '8/8=1']
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,39 unequal: No Solution
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,39 unequal: No Solution
Exploring Operation: 46*1=46, Resulting Numbers: [46]
46,39 unequal: No Solution
Exploring Operation: 46+1=47, Resulting Numbers: [47]
47,39 unequal: No Solution
Moving to Node #0,2,1
Current State: 39:[46, 0], Operations: ['34-26=8', '8-8=0']
Exploring Operation: 46-0=46, Resulting Numbers: [46]
46,39 unequal: No Solution
Exploring Operation: 46+0=46, Resulting Numbers: [46]
46,39 unequal: No Solution
Exploring Operation: 46*0=0, Resulting Numbers: [0]
0,39 unequal: No Solution
Moving to Node #0,2,4
Current State: 39:[46, 16], Operations: ['34-26=8', '8+8=16']
Exploring Operation: 46*16=736, Resulting Numbers: [736]
736,39 unequal: No Solution
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,39 unequal: No Solution
Exploring Operation: 46+16=62, Resulting Numbers: [62]
62,39 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 #0,3
Current State: 39:[34, 46, 18], Operations: ['26-8=18']
Exploring Operation: 46+18=64, Resulting Numbers: [34, 64]
Generated Node #0,3,0: 39:[34, 64] Operation: 46+18=64
Exploring Operation: 34-18=16, Resulting Numbers: [46, 16]
Generated Node #0,3,1: 39:[46, 16] Operation: 34-18=16
Exploring Operation: 46-18=28, Resulting Numbers: [34, 28]
Generated Node #0,3,2: 39:[34, 28] Operation: 46-18=28
Exploring Operation: 46-34=12, Resulting Numbers: [18, 12]
Generated Node #0,3,3: 39:[18, 12] Operation: 46-34=12
Exploring Operation: 34+18=52, Resulting Numbers: [46, 52]
Generated Node #0,3,4: 39:[46, 52] Operation: 34+18=52
Moving to Node #0,3,3
Current State: 39:[18, 12], Operations: ['26-8=18', '46-34=12']
Exploring Operation: 18-12=6, Resulting Numbers: [6]
6,39 unequal: No Solution
Exploring Operation: 18*12=216, Resulting Numbers: [216]
216,39 unequal: No Solution
Exploring Operation: 18+12=30, Resulting Numbers: [30]
30,39 unequal: No Solution
Moving to Node #0,3,1
Current State: 39:[46, 16], Operations: ['26-8=18', '34-18=16']
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,39 unequal: No Solution
Exploring Operation: 46+16=62, Resulting Numbers: [62]
62,39 unequal: No Solution
Exploring Operation: 46*16=736, Resulting Numbers: [736]
736,39 unequal: No Solution
Moving to Node #0,3,2
Current State: 39:[34, 28], Operations: ['26-8=18', '46-18=28']
Exploring Operation: 34*28=952, Resulting Numbers: [952]
952,39 unequal: No Solution
Exploring Operation: 34-28=6, Resulting Numbers: [6]
6,39 unequal: No Solution
Exploring Operation: 34+28=62, Resulting Numbers: [62]
62,39 unequal: No Solution
Moving to Node #0,3,4
Current State: 39:[46, 52], Operations: ['26-8=18', '34+18=52']
Exploring Operation: 52-46=6, Resulting Numbers: [6]
6,39 unequal: No Solution
Exploring Operation: 46+52=98, Resulting Numbers: [98]
98,39 unequal: No Solution
Exploring Operation: 46*52=2392, Resulting Numbers: [2392]
2392,39 unequal: No Solution
Moving to Node #0,3,0
Current State: 39:[34, 64], Operations: ['26-8=18', '46+18=64']
Exploring Operation: 34*64=2176, Resulting Numbers: [2176]
2176,39 unequal: No Solution
Exploring Operation: 34+64=98, Resulting Numbers: [98]
98,39 unequal: No Solution
Exploring Operation: 64-34=30, Resulting Numbers: [30]
30,39 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 #0,4
Current State: 39:[34, 8, 20], Operations: ['46-26=20']
Exploring Operation: 20-8=12, Resulting Numbers: [34, 12]
Generated Node #0,4,0: 39:[34, 12] Operation: 20-8=12
Exploring Operation: 34-8=26, Resulting Numbers: [20, 26]
Generated Node #0,4,1: 39:[20, 26] Operation: 34-8=26
Exploring Operation: 34-20=14, Resulting Numbers: [8, 14]
Generated Node #0,4,2: 39:[8, 14] Operation: 34-20=14
Exploring Operation: 34+8=42, Resulting Numbers: [20, 42]
Generated Node #0,4,3: 39:[20, 42] Operation: 34+8=42
Exploring Operation: 8+20=28, Resulting Numbers: [34, 28]
Generated Node #0,4,4: 39:[34, 28] Operation: 8+20=28
Moving to Node #0,4,0
Current State: 39:[34, 12], Operations: ['46-26=20', '20-8=12']
Exploring Operation: 34-12=22, Resulting Numbers: [22]
22,39 unequal: No Solution
Exploring Operation: 34*12=408, Resulting Numbers: [408]
408,39 unequal: No Solution
Exploring Operation: 34+12=46, Resulting Numbers: [46]
46,39 unequal: No Solution
Moving to Node #0,4,2
Current State: 39:[8, 14], Operations: ['46-26=20', '34-20=14']
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,39 unequal: No Solution
Exploring Operation: 8*14=112, Resulting Numbers: [112]
112,39 unequal: No Solution
Exploring Operation: 8+14=22, Resulting Numbers: [22]
22,39 unequal: No Solution
Moving to Node #0,4,3
Current State: 39:[20, 42], Operations: ['46-26=20', '34+8=42']
Exploring Operation: 20+42=62, Resulting Numbers: [62]
62,39 unequal: No Solution
Exploring Operation: 20*42=840, Resulting Numbers: [840]
840,39 unequal: No Solution
Exploring Operation: 42-20=22, Resulting Numbers: [22]
22,39 unequal: No Solution
Moving to Node #0,4,4
Current State: 39:[34, 28], Operations: ['46-26=20', '8+20=28']
Exploring Operation: 34*28=952, Resulting Numbers: [952]
952,39 unequal: No Solution
Exploring Operation: 34+28=62, Resulting Numbers: [62]
62,39 unequal: No Solution
Exploring Operation: 34-28=6, Resulting Numbers: [6]
6,39 unequal: No Solution
Moving to Node #0,4,1
Current State: 39:[20, 26], Operations: ['46-26=20', '34-8=26']
Exploring Operation: 20+26=46, Resulting Numbers: [46]
46,39 unequal: No Solution
Exploring Operation: 26-20=6, Resulting Numbers: [6]
6,39 unequal: No Solution
Exploring Operation: 20*26=520, Resulting Numbers: [520]
520,39 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 #0,1
Current State: 39:[26, 8, 12], Operations: ['46-34=12']
Exploring Operation: 26+8=34, Resulting Numbers: [12, 34]
Generated Node #0,1,0: 39:[12, 34] Operation: 26+8=34
Exploring Operation: 26-8=18, Resulting Numbers: [12, 18]
Generated Node #0,1,1: 39:[12, 18] Operation: 26-8=18
Exploring Operation: 12-8=4, Resulting Numbers: [26, 4]
Generated Node #0,1,2: 39:[26, 4] Operation: 12-8=4
Exploring Operation: 26-12=14, Resulting Numbers: [8, 14]
Generated Node #0,1,3: 39:[8, 14] Operation: 26-12=14
Exploring Operation: 26+12=38, Resulting Numbers: [8, 38]
Generated Node #0,1,4: 39:[8, 38] Operation: 26+12=38
Moving to Node #0,1,0
Current State: 39:[12, 34], Operations: ['46-34=12', '26+8=34']
Exploring Operation: 12*34=408, Resulting Numbers: [408]
408,39 unequal: No Solution
Exploring Operation: 12+34=46, Resulting Numbers: [46]
46,39 unequal: No Solution
Exploring Operation: 34-12=22, Resulting Numbers: [22]
22,39 unequal: No Solution
Moving to Node #0,1,3
Current State: 39:[8, 14], Operations: ['46-34=12', '26-12=14']
Exploring Operation: 8+14=22, Resulting Numbers: [22]
22,39 unequal: No Solution
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,39 unequal: No Solution
Exploring Operation: 8*14=112, Resulting Numbers: [112]
112,39 unequal: No Solution
Moving to Node #0,1,1
Current State: 39:[12, 18], Operations: ['46-34=12', '26-8=18']
Exploring Operation: 12+18=30, Resulting Numbers: [30]
30,39 unequal: No Solution
Exploring Operation: 18-12=6, Resulting Numbers: [6]
6,39 unequal: No Solution
Exploring Operation: 12*18=216, Resulting Numbers: [216]
216,39 unequal: No Solution
Moving to Node #0,1,4
Current State: 39:[8, 38], Operations: ['46-34=12', '26+12=38']
Exploring Operation: 8+38=46, Resulting Numbers: [46]
46,39 unequal: No Solution
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,39 unequal: No Solution
Exploring Operation: 8*38=304, Resulting Numbers: [304]
304,39 unequal: No Solution
Moving to Node #0,1,2
Current State: 39:[26, 4], Operations: ['46-34=12', '12-8=4']
Exploring Operation: 26+4=30, Resulting Numbers: [30]
30,39 unequal: No Solution
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,39 unequal: No Solution
Exploring Operation: 26*4=104, Resulting Numbers: [104]
104,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
50,
90,
90,
92
] | 41 | [
"92-50=42",
"90/90=1",
"42-1=41"
] | Current State: 41:[50, 90, 90, 92], Operations: []
Exploring Operation: 92-50=42, Resulting Numbers: [90, 90, 42]
Generated Node #2: [90, 90, 42] from Operation: 92-50=42
Current State: 41:[90, 90, 42], Operations: ['92-50=42']
Exploring Operation: 90/90=1, Resulting Numbers: [42, 1]
Generated Node #3: [42, 1] from Operation: 90/90=1
Current State: 41:[42, 1], Operations: ['92-50=42', '90/90=1']
Exploring Operation: 42-1=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[50, 90, 90, 92], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [50, 90, 2]
Generated Node #0,0: 41:[50, 90, 2] Operation: 92-90=2
Exploring Operation: 92-90=2, Resulting Numbers: [50, 90, 2]
Generated Node #0,1: 41:[50, 90, 2] Operation: 92-90=2
Moving to Node #0,0
Current State: 41:[50, 90, 2], Operations: ['92-90=2']
Exploring Operation: 90/2=45, Resulting Numbers: [50, 45]
Generated Node #0,0,0: 41:[50, 45] Operation: 90/2=45
Exploring Operation: 90-50=40, Resulting Numbers: [2, 40]
Generated Node #0,0,1: 41:[2, 40] Operation: 90-50=40
Moving to Node #0,1
Current State: 41:[50, 90, 2], Operations: ['92-90=2']
Exploring Operation: 90/2=45, Resulting Numbers: [50, 45]
Generated Node #0,1,0: 41:[50, 45] Operation: 90/2=45
Exploring Operation: 90-50=40, Resulting Numbers: [2, 40]
Generated Node #0,1,1: 41:[2, 40] Operation: 90-50=40
Moving to Node #0,0,0
Current State: 41:[50, 45], Operations: ['92-90=2', '90/2=45']
Exploring Operation: 50+45=95, Resulting Numbers: [95]
95,41 unequal: No Solution
Exploring Operation: 50-45=5, Resulting Numbers: [5]
5,41 unequal: No Solution
Moving to Node #0,1,0
Current State: 41:[50, 45], Operations: ['92-90=2', '90/2=45']
Exploring Operation: 50-45=5, Resulting Numbers: [5]
5,41 unequal: No Solution
Exploring Operation: 50+45=95, Resulting Numbers: [95]
95,41 unequal: No Solution
Moving to Node #0,0,1
Current State: 41:[2, 40], Operations: ['92-90=2', '90-50=40']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,41 unequal: No Solution
Exploring Operation: 2+40=42, Resulting Numbers: [42]
42,41 unequal: No Solution
Moving to Node #0,1,1
Current State: 41:[2, 40], Operations: ['92-90=2', '90-50=40']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,41 unequal: No Solution
Exploring Operation: 2+40=42, Resulting Numbers: [42]
42,41 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
25,
19,
11,
53
] | 48 | [
"25*19=475",
"53+475=528",
"528/11=48"
] | Current State: 48:[25, 19, 11, 53], Operations: []
Exploring Operation: 25*19=475, Resulting Numbers: [11, 53, 475]
Generated Node #2: [11, 53, 475] from Operation: 25*19=475
Current State: 48:[11, 53, 475], Operations: ['25*19=475']
Exploring Operation: 53+475=528, Resulting Numbers: [11, 528]
Generated Node #3: [11, 528] from Operation: 53+475=528
Current State: 48:[11, 528], Operations: ['25*19=475', '53+475=528']
Exploring Operation: 528/11=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[25, 19, 11, 53], Operations: []
Exploring Operation: 25+19=44, Resulting Numbers: [11, 53, 44]
Generated Node #0,0: 48:[11, 53, 44] Operation: 25+19=44
Exploring Operation: 25-19=6, Resulting Numbers: [11, 53, 6]
Generated Node #0,1: 48:[11, 53, 6] Operation: 25-19=6
Exploring Operation: 53-25=28, Resulting Numbers: [19, 11, 28]
Generated Node #0,2: 48:[19, 11, 28] Operation: 53-25=28
Exploring Operation: 19-11=8, Resulting Numbers: [25, 53, 8]
Generated Node #0,3: 48:[25, 53, 8] Operation: 19-11=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 48:[11, 53, 6], Operations: ['25-19=6']
Exploring Operation: 11+6=17, Resulting Numbers: [53, 17]
Generated Node #0,1,0: 48:[53, 17] Operation: 11+6=17
Exploring Operation: 53-11=42, Resulting Numbers: [6, 42]
Generated Node #0,1,1: 48:[6, 42] Operation: 53-11=42
Exploring Operation: 11-6=5, Resulting Numbers: [53, 5]
Generated Node #0,1,2: 48:[53, 5] Operation: 11-6=5
Exploring Operation: 53-6=47, Resulting Numbers: [11, 47]
Generated Node #0,1,3: 48:[11, 47] Operation: 53-6=47
Moving to Node #0,1,3
Current State: 48:[11, 47], Operations: ['25-19=6', '53-6=47']
Exploring Operation: 47-11=36, Resulting Numbers: [36]
36,48 unequal: No Solution
Exploring Operation: 11+47=58, Resulting Numbers: [58]
58,48 unequal: No Solution
Exploring Operation: 11*47=517, Resulting Numbers: [517]
517,48 unequal: No Solution
Moving to Node #0,1,1
Current State: 48:[6, 42], Operations: ['25-19=6', '53-11=42']
Exploring Operation: 6+42=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[25, 19, 11, 53], Operations: []
Exploring Operation: 25-19=6, Resulting Numbers: [11, 53, 6]
Generated Node #0,1: 48:[11, 53, 6] Operation: 25-19=6
Moving to Node #0,1
Current State: 48:[11, 53, 6], Operations: ['25-19=6']
Exploring Operation: 53-11=42, Resulting Numbers: [6, 42]
Generated Node #0,1,1: 48:[6, 42] Operation: 53-11=42
Moving to Node #0,1,1
Current State: 48:[6, 42], Operations: ['25-19=6', '53-11=42']
Exploring Operation: 6+42=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
48,
7,
16,
81
] | 91 | [
"48/16=3",
"7+81=88",
"3+88=91"
] | Current State: 91:[48, 7, 16, 81], Operations: []
Exploring Operation: 48/16=3, Resulting Numbers: [7, 81, 3]
Generated Node #2: [7, 81, 3] from Operation: 48/16=3
Current State: 91:[7, 81, 3], Operations: ['48/16=3']
Exploring Operation: 7+81=88, Resulting Numbers: [3, 88]
Generated Node #3: [3, 88] from Operation: 7+81=88
Current State: 91:[3, 88], Operations: ['48/16=3', '7+81=88']
Exploring Operation: 3+88=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[48, 7, 16, 81], Operations: []
Exploring Operation: 48/16=3, Resulting Numbers: [7, 81, 3]
Generated Node #0,0: 91:[7, 81, 3] Operation: 48/16=3
Moving to Node #0,0
Current State: 91:[7, 81, 3], Operations: ['48/16=3']
Exploring Operation: 7+81=88, Resulting Numbers: [3, 88]
Generated Node #0,0,0: 91:[3, 88] Operation: 7+81=88
Moving to Node #0,0,0
Current State: 91:[3, 88], Operations: ['48/16=3', '7+81=88']
Exploring Operation: 3+88=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[48, 7, 16, 81], Operations: []
Exploring Operation: 48/16=3, Resulting Numbers: [7, 81, 3]
Generated Node #0,0: 91:[7, 81, 3] Operation: 48/16=3
Moving to Node #0,0
Current State: 91:[7, 81, 3], Operations: ['48/16=3']
Exploring Operation: 7+81=88, Resulting Numbers: [3, 88]
Generated Node #0,0,0: 91:[3, 88] Operation: 7+81=88
Moving to Node #0,0,0
Current State: 91:[3, 88], Operations: ['48/16=3', '7+81=88']
Exploring Operation: 3+88=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
57,
6,
80,
65
] | 82 | [
"57+6=63",
"80+65=145",
"145-63=82"
] | Current State: 82:[57, 6, 80, 65], Operations: []
Exploring Operation: 57+6=63, Resulting Numbers: [80, 65, 63]
Generated Node #2: [80, 65, 63] from Operation: 57+6=63
Current State: 82:[80, 65, 63], Operations: ['57+6=63']
Exploring Operation: 80+65=145, Resulting Numbers: [63, 145]
Generated Node #3: [63, 145] from Operation: 80+65=145
Current State: 82:[63, 145], Operations: ['57+6=63', '80+65=145']
Exploring Operation: 145-63=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[57, 6, 80, 65], Operations: []
Exploring Operation: 65-57=8, Resulting Numbers: [6, 80, 8]
Generated Node #0,0: 82:[6, 80, 8] Operation: 65-57=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[6, 80, 8], Operations: ['65-57=8']
Exploring Operation: 8-6=2, Resulting Numbers: [80, 2]
Generated Node #0,0,0: 82:[80, 2] Operation: 8-6=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 82:[80, 2], Operations: ['65-57=8', '8-6=2']
Exploring Operation: 80+2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[57, 6, 80, 65], Operations: []
Exploring Operation: 65-57=8, Resulting Numbers: [6, 80, 8]
Generated Node #0,0: 82:[6, 80, 8] Operation: 65-57=8
Moving to Node #0,0
Current State: 82:[6, 80, 8], Operations: ['65-57=8']
Exploring Operation: 8-6=2, Resulting Numbers: [80, 2]
Generated Node #0,0,0: 82:[80, 2] Operation: 8-6=2
Moving to Node #0,0,0
Current State: 82:[80, 2], Operations: ['65-57=8', '8-6=2']
Exploring Operation: 80+2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
58,
81,
38,
32
] | 47 | [
"81-58=23",
"38+32=70",
"70-23=47"
] | Current State: 47:[58, 81, 38, 32], Operations: []
Exploring Operation: 81-58=23, Resulting Numbers: [38, 32, 23]
Generated Node #2: [38, 32, 23] from Operation: 81-58=23
Current State: 47:[38, 32, 23], Operations: ['81-58=23']
Exploring Operation: 38+32=70, Resulting Numbers: [23, 70]
Generated Node #3: [23, 70] from Operation: 38+32=70
Current State: 47:[23, 70], Operations: ['81-58=23', '38+32=70']
Exploring Operation: 70-23=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[58, 81, 38, 32], Operations: []
Exploring Operation: 81-32=49, Resulting Numbers: [58, 38, 49]
Generated Node #0,0: 47:[58, 38, 49] Operation: 81-32=49
Exploring Operation: 81-38=43, Resulting Numbers: [58, 32, 43]
Generated Node #0,1: 47:[58, 32, 43] Operation: 81-38=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[58, 38, 49], Operations: ['81-32=49']
Exploring Operation: 58-49=9, Resulting Numbers: [38, 9]
Generated Node #0,0,0: 47:[38, 9] Operation: 58-49=9
Exploring Operation: 58-38=20, Resulting Numbers: [49, 20]
Generated Node #0,0,1: 47:[49, 20] Operation: 58-38=20
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 47:[49, 20], Operations: ['81-32=49', '58-38=20']
Exploring Operation: 49-20=29, Resulting Numbers: [29]
29,47 unequal: No Solution
Exploring Operation: 49+20=69, Resulting Numbers: [69]
69,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 47:[38, 9], Operations: ['81-32=49', '58-49=9']
Exploring Operation: 38+9=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[58, 81, 38, 32], Operations: []
Exploring Operation: 81-32=49, Resulting Numbers: [58, 38, 49]
Generated Node #0,0: 47:[58, 38, 49] Operation: 81-32=49
Moving to Node #0,0
Current State: 47:[58, 38, 49], Operations: ['81-32=49']
Exploring Operation: 58-49=9, Resulting Numbers: [38, 9]
Generated Node #0,0,0: 47:[38, 9] Operation: 58-49=9
Moving to Node #0,0,0
Current State: 47:[38, 9], Operations: ['81-32=49', '58-49=9']
Exploring Operation: 38+9=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
12,
69,
75,
39
] | 27 | [
"69+75=144",
"144/12=12",
"39-12=27"
] | Current State: 27:[12, 69, 75, 39], Operations: []
Exploring Operation: 69+75=144, Resulting Numbers: [12, 39, 144]
Generated Node #2: [12, 39, 144] from Operation: 69+75=144
Current State: 27:[12, 39, 144], Operations: ['69+75=144']
Exploring Operation: 144/12=12, Resulting Numbers: [39, 12]
Generated Node #3: [39, 12] from Operation: 144/12=12
Current State: 27:[39, 12], Operations: ['69+75=144', '144/12=12']
Exploring Operation: 39-12=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[12, 69, 75, 39], Operations: []
Exploring Operation: 75-39=36, Resulting Numbers: [12, 69, 36]
Generated Node #0,0: 27:[12, 69, 36] Operation: 75-39=36
Exploring Operation: 75-12=63, Resulting Numbers: [69, 39, 63]
Generated Node #0,1: 27:[69, 39, 63] Operation: 75-12=63
Exploring Operation: 69-39=30, Resulting Numbers: [12, 75, 30]
Generated Node #0,2: 27:[12, 75, 30] Operation: 69-39=30
Exploring Operation: 75-69=6, Resulting Numbers: [12, 39, 6]
Generated Node #0,3: 27:[12, 39, 6] Operation: 75-69=6
Exploring Operation: 69-12=57, Resulting Numbers: [75, 39, 57]
Generated Node #0,4: 27:[75, 39, 57] Operation: 69-12=57
Start Sub Search at level 1: Moving to Node #0,3
Current State: 27:[12, 39, 6], Operations: ['75-69=6']
Exploring Operation: 39-6=33, Resulting Numbers: [12, 33]
Generated Node #0,3,0: 27:[12, 33] Operation: 39-6=33
Exploring Operation: 12/6=2, Resulting Numbers: [39, 2]
Generated Node #0,3,1: 27:[39, 2] Operation: 12/6=2
Exploring Operation: 12-6=6, Resulting Numbers: [39, 6]
Generated Node #0,3,2: 27:[39, 6] Operation: 12-6=6
Exploring Operation: 39-12=27, Resulting Numbers: [6, 27]
Generated Node #0,3,3: 27:[6, 27] Operation: 39-12=27
Exploring Operation: 12+6=18, Resulting Numbers: [39, 18]
Generated Node #0,3,4: 27:[39, 18] Operation: 12+6=18
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 27:[6, 27], Operations: ['75-69=6', '39-12=27']
Exploring Operation: 6+27=33, Resulting Numbers: [33]
33,27 unequal: No Solution
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,27 unequal: No Solution
Exploring Operation: 6*27=162, Resulting Numbers: [162]
162,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 27:[12, 33], Operations: ['75-69=6', '39-6=33']
Exploring Operation: 12*33=396, Resulting Numbers: [396]
396,27 unequal: No Solution
Exploring Operation: 33-12=21, Resulting Numbers: [21]
21,27 unequal: No Solution
Exploring Operation: 12+33=45, Resulting Numbers: [45]
45,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 27:[39, 2], Operations: ['75-69=6', '12/6=2']
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,27 unequal: No Solution
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,27 unequal: No Solution
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 27:[39, 6], Operations: ['75-69=6', '12-6=6']
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,27 unequal: No Solution
Exploring Operation: 39+6=45, Resulting Numbers: [45]
45,27 unequal: No Solution
Exploring Operation: 39*6=234, Resulting Numbers: [234]
234,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 27:[39, 18], Operations: ['75-69=6', '12+6=18']
Exploring Operation: 39+18=57, Resulting Numbers: [57]
57,27 unequal: No Solution
Exploring Operation: 39*18=702, Resulting Numbers: [702]
702,27 unequal: No Solution
Exploring Operation: 39-18=21, Resulting Numbers: [21]
21,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[12, 69, 36], Operations: ['75-39=36']
Exploring Operation: 69-36=33, Resulting Numbers: [12, 33]
Generated Node #0,0,0: 27:[12, 33] Operation: 69-36=33
Exploring Operation: 12+69=81, Resulting Numbers: [36, 81]
Generated Node #0,0,1: 27:[36, 81] Operation: 12+69=81
Exploring Operation: 69-12=57, Resulting Numbers: [36, 57]
Generated Node #0,0,2: 27:[36, 57] Operation: 69-12=57
Exploring Operation: 36/12=3, Resulting Numbers: [69, 3]
Generated Node #0,0,3: 27:[69, 3] Operation: 36/12=3
Exploring Operation: 36-12=24, Resulting Numbers: [69, 24]
Generated Node #0,0,4: 27:[69, 24] Operation: 36-12=24
Moving to Node #0,0,0
Current State: 27:[12, 33], Operations: ['75-39=36', '69-36=33']
Exploring Operation: 12*33=396, Resulting Numbers: [396]
396,27 unequal: No Solution
Exploring Operation: 33-12=21, Resulting Numbers: [21]
21,27 unequal: No Solution
Exploring Operation: 12+33=45, Resulting Numbers: [45]
45,27 unequal: No Solution
Moving to Node #0,0,2
Current State: 27:[36, 57], Operations: ['75-39=36', '69-12=57']
Exploring Operation: 36+57=93, Resulting Numbers: [93]
93,27 unequal: No Solution
Exploring Operation: 57-36=21, Resulting Numbers: [21]
21,27 unequal: No Solution
Exploring Operation: 36*57=2052, Resulting Numbers: [2052]
2052,27 unequal: No Solution
Moving to Node #0,0,3
Current State: 27:[69, 3], Operations: ['75-39=36', '36/12=3']
Exploring Operation: 69*3=207, Resulting Numbers: [207]
207,27 unequal: No Solution
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,27 unequal: No Solution
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,27 unequal: No Solution
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,27 unequal: No Solution
Moving to Node #0,0,4
Current State: 27:[69, 24], Operations: ['75-39=36', '36-12=24']
Exploring Operation: 69+24=93, Resulting Numbers: [93]
93,27 unequal: No Solution
Exploring Operation: 69*24=1656, Resulting Numbers: [1656]
1656,27 unequal: No Solution
Exploring Operation: 69-24=45, Resulting Numbers: [45]
45,27 unequal: No Solution
Moving to Node #0,0,1
Current State: 27:[36, 81], Operations: ['75-39=36', '12+69=81']
Exploring Operation: 36+81=117, Resulting Numbers: [117]
117,27 unequal: No Solution
Exploring Operation: 36*81=2916, Resulting Numbers: [2916]
2916,27 unequal: No Solution
Exploring Operation: 81-36=45, Resulting Numbers: [45]
45,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 27:[12, 75, 30], Operations: ['69-39=30']
Exploring Operation: 75-30=45, Resulting Numbers: [12, 45]
Generated Node #0,2,0: 27:[12, 45] Operation: 75-30=45
Exploring Operation: 75-12=63, Resulting Numbers: [30, 63]
Generated Node #0,2,1: 27:[30, 63] Operation: 75-12=63
Exploring Operation: 12+75=87, Resulting Numbers: [30, 87]
Generated Node #0,2,2: 27:[30, 87] Operation: 12+75=87
Exploring Operation: 30-12=18, Resulting Numbers: [75, 18]
Generated Node #0,2,3: 27:[75, 18] Operation: 30-12=18
Exploring Operation: 12+30=42, Resulting Numbers: [75, 42]
Generated Node #0,2,4: 27:[75, 42] Operation: 12+30=42
Moving to Node #0,2,0
Current State: 27:[12, 45], Operations: ['69-39=30', '75-30=45']
Exploring Operation: 12*45=540, Resulting Numbers: [540]
540,27 unequal: No Solution
Exploring Operation: 45-12=33, Resulting Numbers: [33]
33,27 unequal: No Solution
Exploring Operation: 12+45=57, Resulting Numbers: [57]
57,27 unequal: No Solution
Moving to Node #0,2,1
Current State: 27:[30, 63], Operations: ['69-39=30', '75-12=63']
Exploring Operation: 30*63=1890, Resulting Numbers: [1890]
1890,27 unequal: No Solution
Exploring Operation: 30+63=93, Resulting Numbers: [93]
93,27 unequal: No Solution
Exploring Operation: 63-30=33, Resulting Numbers: [33]
33,27 unequal: No Solution
Moving to Node #0,2,3
Current State: 27:[75, 18], Operations: ['69-39=30', '30-12=18']
Exploring Operation: 75-18=57, Resulting Numbers: [57]
57,27 unequal: No Solution
Exploring Operation: 75*18=1350, Resulting Numbers: [1350]
1350,27 unequal: No Solution
Exploring Operation: 75+18=93, Resulting Numbers: [93]
93,27 unequal: No Solution
Moving to Node #0,2,2
Current State: 27:[30, 87], Operations: ['69-39=30', '12+75=87']
Exploring Operation: 30*87=2610, Resulting Numbers: [2610]
2610,27 unequal: No Solution
Exploring Operation: 30+87=117, Resulting Numbers: [117]
117,27 unequal: No Solution
Exploring Operation: 87-30=57, Resulting Numbers: [57]
57,27 unequal: No Solution
Moving to Node #0,2,4
Current State: 27:[75, 42], Operations: ['69-39=30', '12+30=42']
Exploring Operation: 75-42=33, Resulting Numbers: [33]
33,27 unequal: No Solution
Exploring Operation: 75*42=3150, Resulting Numbers: [3150]
3150,27 unequal: No Solution
Exploring Operation: 75+42=117, Resulting Numbers: [117]
117,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 27:[69, 39, 63], Operations: ['75-12=63']
Exploring Operation: 69+63=132, Resulting Numbers: [39, 132]
Generated Node #0,1,0: 27:[39, 132] Operation: 69+63=132
Exploring Operation: 63-39=24, Resulting Numbers: [69, 24]
Generated Node #0,1,1: 27:[69, 24] Operation: 63-39=24
Exploring Operation: 69+39=108, Resulting Numbers: [63, 108]
Generated Node #0,1,2: 27:[63, 108] Operation: 69+39=108
Exploring Operation: 69-39=30, Resulting Numbers: [63, 30]
Generated Node #0,1,3: 27:[63, 30] Operation: 69-39=30
Exploring Operation: 69-63=6, Resulting Numbers: [39, 6]
Generated Node #0,1,4: 27:[39, 6] Operation: 69-63=6
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 27:[39, 6], Operations: ['75-12=63', '69-63=6']
Exploring Operation: 39*6=234, Resulting Numbers: [234]
234,27 unequal: No Solution
Exploring Operation: 39+6=45, Resulting Numbers: [45]
45,27 unequal: No Solution
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 27:[63, 30], Operations: ['75-12=63', '69-39=30']
Exploring Operation: 63*30=1890, Resulting Numbers: [1890]
1890,27 unequal: No Solution
Exploring Operation: 63-30=33, Resulting Numbers: [33]
33,27 unequal: No Solution
Exploring Operation: 63+30=93, Resulting Numbers: [93]
93,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 27:[69, 24], Operations: ['75-12=63', '63-39=24']
Exploring Operation: 69*24=1656, Resulting Numbers: [1656]
1656,27 unequal: No Solution
Exploring Operation: 69-24=45, Resulting Numbers: [45]
45,27 unequal: No Solution
Exploring Operation: 69+24=93, Resulting Numbers: [93]
93,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 27:[39, 132], Operations: ['75-12=63', '69+63=132']
Exploring Operation: 39*132=5148, Resulting Numbers: [5148]
5148,27 unequal: No Solution
Exploring Operation: 132-39=93, Resulting Numbers: [93]
93,27 unequal: No Solution
Exploring Operation: 39+132=171, Resulting Numbers: [171]
171,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 27:[63, 108], Operations: ['75-12=63', '69+39=108']
Exploring Operation: 63+108=171, Resulting Numbers: [171]
171,27 unequal: No Solution
Exploring Operation: 63*108=6804, Resulting Numbers: [6804]
6804,27 unequal: No Solution
Exploring Operation: 108-63=45, Resulting Numbers: [45]
45,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 27:[75, 39, 57], Operations: ['69-12=57']
Exploring Operation: 75+57=132, Resulting Numbers: [39, 132]
Generated Node #0,4,0: 27:[39, 132] Operation: 75+57=132
Exploring Operation: 75+39=114, Resulting Numbers: [57, 114]
Generated Node #0,4,1: 27:[57, 114] Operation: 75+39=114
Exploring Operation: 75-57=18, Resulting Numbers: [39, 18]
Generated Node #0,4,2: 27:[39, 18] Operation: 75-57=18
Exploring Operation: 75-39=36, Resulting Numbers: [57, 36]
Generated Node #0,4,3: 27:[57, 36] Operation: 75-39=36
Exploring Operation: 57-39=18, Resulting Numbers: [75, 18]
Generated Node #0,4,4: 27:[75, 18] Operation: 57-39=18
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 27:[39, 18], Operations: ['69-12=57', '75-57=18']
Exploring Operation: 39*18=702, Resulting Numbers: [702]
702,27 unequal: No Solution
Exploring Operation: 39-18=21, Resulting Numbers: [21]
21,27 unequal: No Solution
Exploring Operation: 39+18=57, Resulting Numbers: [57]
57,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 27:[57, 36], Operations: ['69-12=57', '75-39=36']
Exploring Operation: 57+36=93, Resulting Numbers: [93]
93,27 unequal: No Solution
Exploring Operation: 57*36=2052, Resulting Numbers: [2052]
2052,27 unequal: No Solution
Exploring Operation: 57-36=21, Resulting Numbers: [21]
21,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 27:[75, 18], Operations: ['69-12=57', '57-39=18']
Exploring Operation: 75+18=93, Resulting Numbers: [93]
93,27 unequal: No Solution
Exploring Operation: 75-18=57, Resulting Numbers: [57]
57,27 unequal: No Solution
Exploring Operation: 75*18=1350, Resulting Numbers: [1350]
1350,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 27:[39, 132], Operations: ['69-12=57', '75+57=132']
Exploring Operation: 39*132=5148, Resulting Numbers: [5148]
5148,27 unequal: No Solution
Exploring Operation: 132-39=93, Resulting Numbers: [93]
93,27 unequal: No Solution
Exploring Operation: 39+132=171, Resulting Numbers: [171]
171,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 27:[57, 114], Operations: ['69-12=57', '75+39=114']
Exploring Operation: 114/57=2, Resulting Numbers: [2]
2,27 unequal: No Solution
Exploring Operation: 57*114=6498, Resulting Numbers: [6498]
6498,27 unequal: No Solution
Exploring Operation: 114-57=57, Resulting Numbers: [57]
57,27 unequal: No Solution
Exploring Operation: 57+114=171, Resulting Numbers: [171]
171,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
39,
27,
3,
20
] | 42 | [
"39+27=66",
"66/3=22",
"20+22=42"
] | Current State: 42:[39, 27, 3, 20], Operations: []
Exploring Operation: 39+27=66, Resulting Numbers: [3, 20, 66]
Generated Node #2: [3, 20, 66] from Operation: 39+27=66
Current State: 42:[3, 20, 66], Operations: ['39+27=66']
Exploring Operation: 66/3=22, Resulting Numbers: [20, 22]
Generated Node #3: [20, 22] from Operation: 66/3=22
Current State: 42:[20, 22], Operations: ['39+27=66', '66/3=22']
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[39, 27, 3, 20], Operations: []
Exploring Operation: 39-27=12, Resulting Numbers: [3, 20, 12]
Generated Node #0,0: 42:[3, 20, 12] Operation: 39-27=12
Exploring Operation: 27-20=7, Resulting Numbers: [39, 3, 7]
Generated Node #0,1: 42:[39, 3, 7] Operation: 27-20=7
Exploring Operation: 27/3=9, Resulting Numbers: [39, 20, 9]
Generated Node #0,2: 42:[39, 20, 9] Operation: 27/3=9
Moving to Node #0,0
Current State: 42:[3, 20, 12], Operations: ['39-27=12']
Exploring Operation: 20-12=8, Resulting Numbers: [3, 8]
Generated Node #0,0,0: 42:[3, 8] Operation: 20-12=8
Exploring Operation: 12/3=4, Resulting Numbers: [20, 4]
Generated Node #0,0,1: 42:[20, 4] Operation: 12/3=4
Exploring Operation: 3+12=15, Resulting Numbers: [20, 15]
Generated Node #0,0,2: 42:[20, 15] Operation: 3+12=15
Moving to Node #0,1
Current State: 42:[39, 3, 7], Operations: ['27-20=7']
Exploring Operation: 3*7=21, Resulting Numbers: [39, 21]
Generated Node #0,1,0: 42:[39, 21] Operation: 3*7=21
Exploring Operation: 39/3=13, Resulting Numbers: [7, 13]
Generated Node #0,1,1: 42:[7, 13] Operation: 39/3=13
Exploring Operation: 39+3=42, Resulting Numbers: [7, 42]
Generated Node #0,1,2: 42:[7, 42] Operation: 39+3=42
Moving to Node #0,2
Current State: 42:[39, 20, 9], Operations: ['27/3=9']
Exploring Operation: 39-20=19, Resulting Numbers: [9, 19]
Generated Node #0,2,0: 42:[9, 19] Operation: 39-20=19
Exploring Operation: 20-9=11, Resulting Numbers: [39, 11]
Generated Node #0,2,1: 42:[39, 11] Operation: 20-9=11
Exploring Operation: 39+9=48, Resulting Numbers: [20, 48]
Generated Node #0,2,2: 42:[20, 48] Operation: 39+9=48
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 42:[9, 19], Operations: ['27/3=9', '39-20=19']
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,42 unequal: No Solution
Exploring Operation: 9+19=28, Resulting Numbers: [28]
28,42 unequal: No Solution
Exploring Operation: 9*19=171, Resulting Numbers: [171]
171,42 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 #0,2,1
Current State: 42:[39, 11], Operations: ['27/3=9', '20-9=11']
Exploring Operation: 39*11=429, Resulting Numbers: [429]
429,42 unequal: No Solution
Exploring Operation: 39-11=28, Resulting Numbers: [28]
28,42 unequal: No Solution
Exploring Operation: 39+11=50, Resulting Numbers: [50]
50,42 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 #0,2,2
Current State: 42:[20, 48], Operations: ['27/3=9', '39+9=48']
Exploring Operation: 20*48=960, Resulting Numbers: [960]
960,42 unequal: No Solution
Exploring Operation: 48-20=28, Resulting Numbers: [28]
28,42 unequal: No Solution
Exploring Operation: 20+48=68, Resulting Numbers: [68]
68,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 42:[7, 42], Operations: ['27-20=7', '39+3=42']
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,42 unequal: No Solution
Exploring Operation: 42/7=6, Resulting Numbers: [6]
6,42 unequal: No Solution
Exploring Operation: 7+42=49, Resulting Numbers: [49]
49,42 unequal: No Solution
Moving to Node #0,0,0
Current State: 42:[3, 8], Operations: ['39-27=12', '20-12=8']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,42 unequal: No Solution
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,42 unequal: No Solution
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,42 unequal: No Solution
Moving to Node #0,1,1
Current State: 42:[7, 13], Operations: ['27-20=7', '39/3=13']
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,42 unequal: No Solution
Exploring Operation: 7*13=91, Resulting Numbers: [91]
91,42 unequal: No Solution
Exploring Operation: 7+13=20, Resulting Numbers: [20]
20,42 unequal: No Solution
Moving to Node #0,0,2
Current State: 42:[20, 15], Operations: ['39-27=12', '3+12=15']
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,42 unequal: No Solution
Exploring Operation: 20*15=300, Resulting Numbers: [300]
300,42 unequal: No Solution
Exploring Operation: 20+15=35, Resulting Numbers: [35]
35,42 unequal: No Solution
Moving to Node #0,0,1
Current State: 42:[20, 4], Operations: ['39-27=12', '12/3=4']
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,42 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,42 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,42 unequal: No Solution
Moving to Node #0,1,0
Current State: 42:[39, 21], Operations: ['27-20=7', '3*7=21']
Exploring Operation: 39+21=60, Resulting Numbers: [60]
60,42 unequal: No Solution
Exploring Operation: 39*21=819, Resulting Numbers: [819]
819,42 unequal: No Solution
Exploring Operation: 39-21=18, Resulting Numbers: [18]
18,42 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
68,
80,
87,
32
] | 43 | [
"80-68=12",
"87-32=55",
"55-12=43"
] | Current State: 43:[68, 80, 87, 32], Operations: []
Exploring Operation: 80-68=12, Resulting Numbers: [87, 32, 12]
Generated Node #2: [87, 32, 12] from Operation: 80-68=12
Current State: 43:[87, 32, 12], Operations: ['80-68=12']
Exploring Operation: 87-32=55, Resulting Numbers: [12, 55]
Generated Node #3: [12, 55] from Operation: 87-32=55
Current State: 43:[12, 55], Operations: ['80-68=12', '87-32=55']
Exploring Operation: 55-12=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[68, 80, 87, 32], Operations: []
Exploring Operation: 80-68=12, Resulting Numbers: [87, 32, 12]
Generated Node #0,0: 43:[87, 32, 12] Operation: 80-68=12
Exploring Operation: 87-80=7, Resulting Numbers: [68, 32, 7]
Generated Node #0,1: 43:[68, 32, 7] Operation: 87-80=7
Exploring Operation: 87-68=19, Resulting Numbers: [80, 32, 19]
Generated Node #0,2: 43:[80, 32, 19] Operation: 87-68=19
Exploring Operation: 80-32=48, Resulting Numbers: [68, 87, 48]
Generated Node #0,3: 43:[68, 87, 48] Operation: 80-32=48
Exploring Operation: 87-32=55, Resulting Numbers: [68, 80, 55]
Generated Node #0,4: 43:[68, 80, 55] Operation: 87-32=55
Moving to Node #0,1
Current State: 43:[68, 32, 7], Operations: ['87-80=7']
Exploring Operation: 68-7=61, Resulting Numbers: [32, 61]
Generated Node #0,1,0: 43:[32, 61] Operation: 68-7=61
Exploring Operation: 68+7=75, Resulting Numbers: [32, 75]
Generated Node #0,1,1: 43:[32, 75] Operation: 68+7=75
Exploring Operation: 68-32=36, Resulting Numbers: [7, 36]
Generated Node #0,1,2: 43:[7, 36] Operation: 68-32=36
Exploring Operation: 32+7=39, Resulting Numbers: [68, 39]
Generated Node #0,1,3: 43:[68, 39] Operation: 32+7=39
Exploring Operation: 32-7=25, Resulting Numbers: [68, 25]
Generated Node #0,1,4: 43:[68, 25] Operation: 32-7=25
Moving to Node #0,2
Current State: 43:[80, 32, 19], Operations: ['87-68=19']
Exploring Operation: 80-19=61, Resulting Numbers: [32, 61]
Generated Node #0,2,0: 43:[32, 61] Operation: 80-19=61
Exploring Operation: 32+19=51, Resulting Numbers: [80, 51]
Generated Node #0,2,1: 43:[80, 51] Operation: 32+19=51
Exploring Operation: 80+19=99, Resulting Numbers: [32, 99]
Generated Node #0,2,2: 43:[32, 99] Operation: 80+19=99
Exploring Operation: 32-19=13, Resulting Numbers: [80, 13]
Generated Node #0,2,3: 43:[80, 13] Operation: 32-19=13
Exploring Operation: 80-32=48, Resulting Numbers: [19, 48]
Generated Node #0,2,4: 43:[19, 48] Operation: 80-32=48
Moving to Node #0,3
Current State: 43:[68, 87, 48], Operations: ['80-32=48']
Exploring Operation: 87-68=19, Resulting Numbers: [48, 19]
Generated Node #0,3,0: 43:[48, 19] Operation: 87-68=19
Exploring Operation: 87-48=39, Resulting Numbers: [68, 39]
Generated Node #0,3,1: 43:[68, 39] Operation: 87-48=39
Exploring Operation: 68+87=155, Resulting Numbers: [48, 155]
Generated Node #0,3,2: 43:[48, 155] Operation: 68+87=155
Exploring Operation: 68+48=116, Resulting Numbers: [87, 116]
Generated Node #0,3,3: 43:[87, 116] Operation: 68+48=116
Exploring Operation: 68-48=20, Resulting Numbers: [87, 20]
Generated Node #0,3,4: 43:[87, 20] Operation: 68-48=20
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 43:[48, 19], Operations: ['80-32=48', '87-68=19']
Exploring Operation: 48-19=29, Resulting Numbers: [29]
29,43 unequal: No Solution
Exploring Operation: 48+19=67, Resulting Numbers: [67]
67,43 unequal: No Solution
Exploring Operation: 48*19=912, Resulting Numbers: [912]
912,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 43:[68, 39], Operations: ['80-32=48', '87-48=39']
Exploring Operation: 68-39=29, Resulting Numbers: [29]
29,43 unequal: No Solution
Exploring Operation: 68*39=2652, Resulting Numbers: [2652]
2652,43 unequal: No Solution
Exploring Operation: 68+39=107, Resulting Numbers: [107]
107,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 43:[87, 20], Operations: ['80-32=48', '68-48=20']
Exploring Operation: 87*20=1740, Resulting Numbers: [1740]
1740,43 unequal: No Solution
Exploring Operation: 87-20=67, Resulting Numbers: [67]
67,43 unequal: No Solution
Exploring Operation: 87+20=107, Resulting Numbers: [107]
107,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 43:[48, 155], Operations: ['80-32=48', '68+87=155']
Exploring Operation: 48+155=203, Resulting Numbers: [203]
203,43 unequal: No Solution
Exploring Operation: 48*155=7440, Resulting Numbers: [7440]
7440,43 unequal: No Solution
Exploring Operation: 155-48=107, Resulting Numbers: [107]
107,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 43:[87, 116], Operations: ['80-32=48', '68+48=116']
Exploring Operation: 87+116=203, Resulting Numbers: [203]
203,43 unequal: No Solution
Exploring Operation: 87*116=10092, Resulting Numbers: [10092]
10092,43 unequal: No Solution
Exploring Operation: 116-87=29, Resulting Numbers: [29]
29,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 43:[68, 80, 55], Operations: ['87-32=55']
Exploring Operation: 80-55=25, Resulting Numbers: [68, 25]
Generated Node #0,4,0: 43:[68, 25] Operation: 80-55=25
Exploring Operation: 80-68=12, Resulting Numbers: [55, 12]
Generated Node #0,4,1: 43:[55, 12] Operation: 80-68=12
Exploring Operation: 68-55=13, Resulting Numbers: [80, 13]
Generated Node #0,4,2: 43:[80, 13] Operation: 68-55=13
Exploring Operation: 68+55=123, Resulting Numbers: [80, 123]
Generated Node #0,4,3: 43:[80, 123] Operation: 68+55=123
Exploring Operation: 68+80=148, Resulting Numbers: [55, 148]
Generated Node #0,4,4: 43:[55, 148] Operation: 68+80=148
Moving to Node #0,0
Current State: 43:[87, 32, 12], Operations: ['80-68=12']
Exploring Operation: 87+12=99, Resulting Numbers: [32, 99]
Generated Node #0,0,0: 43:[32, 99] Operation: 87+12=99
Exploring Operation: 32-12=20, Resulting Numbers: [87, 20]
Generated Node #0,0,1: 43:[87, 20] Operation: 32-12=20
Exploring Operation: 32+12=44, Resulting Numbers: [87, 44]
Generated Node #0,0,2: 43:[87, 44] Operation: 32+12=44
Exploring Operation: 87-12=75, Resulting Numbers: [32, 75]
Generated Node #0,0,3: 43:[32, 75] Operation: 87-12=75
Exploring Operation: 87-32=55, Resulting Numbers: [12, 55]
Generated Node #0,0,4: 43:[12, 55] Operation: 87-32=55
Moving to Node #0,1,0
Current State: 43:[32, 61], Operations: ['87-80=7', '68-7=61']
Exploring Operation: 32+61=93, Resulting Numbers: [93]
93,43 unequal: No Solution
Exploring Operation: 32*61=1952, Resulting Numbers: [1952]
1952,43 unequal: No Solution
Exploring Operation: 61-32=29, Resulting Numbers: [29]
29,43 unequal: No Solution
Moving to Node #0,2,0
Current State: 43:[32, 61], Operations: ['87-68=19', '80-19=61']
Exploring Operation: 32*61=1952, Resulting Numbers: [1952]
1952,43 unequal: No Solution
Exploring Operation: 61-32=29, Resulting Numbers: [29]
29,43 unequal: No Solution
Exploring Operation: 32+61=93, Resulting Numbers: [93]
93,43 unequal: No Solution
Moving to Node #0,2,4
Current State: 43:[19, 48], Operations: ['87-68=19', '80-32=48']
Exploring Operation: 48-19=29, Resulting Numbers: [29]
29,43 unequal: No Solution
Exploring Operation: 19*48=912, Resulting Numbers: [912]
912,43 unequal: No Solution
Exploring Operation: 19+48=67, Resulting Numbers: [67]
67,43 unequal: No Solution
Moving to Node #0,1,3
Current State: 43:[68, 39], Operations: ['87-80=7', '32+7=39']
Exploring Operation: 68*39=2652, Resulting Numbers: [2652]
2652,43 unequal: No Solution
Exploring Operation: 68+39=107, Resulting Numbers: [107]
107,43 unequal: No Solution
Exploring Operation: 68-39=29, Resulting Numbers: [29]
29,43 unequal: No Solution
Moving to Node #0,1,1
Current State: 43:[32, 75], Operations: ['87-80=7', '68+7=75']
Exploring Operation: 32+75=107, Resulting Numbers: [107]
107,43 unequal: No Solution
Exploring Operation: 32*75=2400, Resulting Numbers: [2400]
2400,43 unequal: No Solution
Exploring Operation: 75-32=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[68, 80, 87, 32], Operations: []
Exploring Operation: 87-80=7, Resulting Numbers: [68, 32, 7]
Generated Node #0,1: 43:[68, 32, 7] Operation: 87-80=7
Moving to Node #0,1
Current State: 43:[68, 32, 7], Operations: ['87-80=7']
Exploring Operation: 68+7=75, Resulting Numbers: [32, 75]
Generated Node #0,1,1: 43:[32, 75] Operation: 68+7=75
Moving to Node #0,1,1
Current State: 43:[32, 75], Operations: ['87-80=7', '68+7=75']
Exploring Operation: 75-32=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 0.944444 | hs_5 | mult_heuristic |
[
72,
27,
69,
7
] | 63 | [
"72-69=3",
"27*7=189",
"189/3=63"
] | Current State: 63:[72, 27, 69, 7], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [27, 7, 3]
Generated Node #2: [27, 7, 3] from Operation: 72-69=3
Current State: 63:[27, 7, 3], Operations: ['72-69=3']
Exploring Operation: 27*7=189, Resulting Numbers: [3, 189]
Generated Node #3: [3, 189] from Operation: 27*7=189
Current State: 63:[3, 189], Operations: ['72-69=3', '27*7=189']
Exploring Operation: 189/3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[72, 27, 69, 7], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [27, 7, 3]
Generated Node #0,0: 63:[27, 7, 3] Operation: 72-69=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[27, 7, 3], Operations: ['72-69=3']
Exploring Operation: 27/3=9, Resulting Numbers: [7, 9]
Generated Node #0,0,0: 63:[7, 9] Operation: 27/3=9
Moving to Node #0,0,0
Current State: 63:[7, 9], Operations: ['72-69=3', '27/3=9']
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[72, 27, 69, 7], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [27, 7, 3]
Generated Node #0,0: 63:[27, 7, 3] Operation: 72-69=3
Moving to Node #0,0
Current State: 63:[27, 7, 3], Operations: ['72-69=3']
Exploring Operation: 27/3=9, Resulting Numbers: [7, 9]
Generated Node #0,0,0: 63:[7, 9] Operation: 27/3=9
Moving to Node #0,0,0
Current State: 63:[7, 9], Operations: ['72-69=3', '27/3=9']
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
10,
43,
66,
77
] | 54 | [
"43+77=120",
"120/10=12",
"66-12=54"
] | Current State: 54:[10, 43, 66, 77], Operations: []
Exploring Operation: 43+77=120, Resulting Numbers: [10, 66, 120]
Generated Node #2: [10, 66, 120] from Operation: 43+77=120
Current State: 54:[10, 66, 120], Operations: ['43+77=120']
Exploring Operation: 120/10=12, Resulting Numbers: [66, 12]
Generated Node #3: [66, 12] from Operation: 120/10=12
Current State: 54:[66, 12], Operations: ['43+77=120', '120/10=12']
Exploring Operation: 66-12=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[10, 43, 66, 77], Operations: []
Exploring Operation: 77-43=34, Resulting Numbers: [10, 66, 34]
Generated Node #0,0: 54:[10, 66, 34] Operation: 77-43=34
Exploring Operation: 77-66=11, Resulting Numbers: [10, 43, 11]
Generated Node #0,1: 54:[10, 43, 11] Operation: 77-66=11
Exploring Operation: 66-43=23, Resulting Numbers: [10, 77, 23]
Generated Node #0,2: 54:[10, 77, 23] Operation: 66-43=23
Start Sub Search at level 1: Moving to Node #0,1
Current State: 54:[10, 43, 11], Operations: ['77-66=11']
Exploring Operation: 43+11=54, Resulting Numbers: [10, 54]
Generated Node #0,1,0: 54:[10, 54] Operation: 43+11=54
Exploring Operation: 10+43=53, Resulting Numbers: [11, 53]
Generated Node #0,1,1: 54:[11, 53] Operation: 10+43=53
Exploring Operation: 43-11=32, Resulting Numbers: [10, 32]
Generated Node #0,1,2: 54:[10, 32] Operation: 43-11=32
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 54:[10, 54], Operations: ['77-66=11', '43+11=54']
Exploring Operation: 10+54=64, Resulting Numbers: [64]
64,54 unequal: No Solution
Exploring Operation: 10*54=540, Resulting Numbers: [540]
540,54 unequal: No Solution
Exploring Operation: 54-10=44, Resulting Numbers: [44]
44,54 unequal: No Solution
No 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: 54:[11, 53], Operations: ['77-66=11', '10+43=53']
Exploring Operation: 11*53=583, Resulting Numbers: [583]
583,54 unequal: No Solution
Exploring Operation: 11+53=64, Resulting Numbers: [64]
64,54 unequal: No Solution
Exploring Operation: 53-11=42, Resulting Numbers: [42]
42,54 unequal: No Solution
No 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: 54:[10, 32], Operations: ['77-66=11', '43-11=32']
Exploring Operation: 10*32=320, Resulting Numbers: [320]
320,54 unequal: No Solution
Exploring Operation: 32-10=22, Resulting Numbers: [22]
22,54 unequal: No Solution
Exploring Operation: 10+32=42, Resulting Numbers: [42]
42,54 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: 54:[10, 66, 34], Operations: ['77-43=34']
Exploring Operation: 66-10=56, Resulting Numbers: [34, 56]
Generated Node #0,0,0: 54:[34, 56] Operation: 66-10=56
Exploring Operation: 34-10=24, Resulting Numbers: [66, 24]
Generated Node #0,0,1: 54:[66, 24] Operation: 34-10=24
Exploring Operation: 66-34=32, Resulting Numbers: [10, 32]
Generated Node #0,0,2: 54:[10, 32] Operation: 66-34=32
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 54:[10, 32], Operations: ['77-43=34', '66-34=32']
Exploring Operation: 10+32=42, Resulting Numbers: [42]
42,54 unequal: No Solution
Exploring Operation: 32-10=22, Resulting Numbers: [22]
22,54 unequal: No Solution
Exploring Operation: 10*32=320, Resulting Numbers: [320]
320,54 unequal: No Solution
No 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: 54:[34, 56], Operations: ['77-43=34', '66-10=56']
Exploring Operation: 34+56=90, Resulting Numbers: [90]
90,54 unequal: No Solution
Exploring Operation: 56-34=22, Resulting Numbers: [22]
22,54 unequal: No Solution
Exploring Operation: 34*56=1904, Resulting Numbers: [1904]
1904,54 unequal: No Solution
No 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: 54:[66, 24], Operations: ['77-43=34', '34-10=24']
Exploring Operation: 66-24=42, Resulting Numbers: [42]
42,54 unequal: No Solution
Exploring Operation: 66*24=1584, Resulting Numbers: [1584]
1584,54 unequal: No Solution
Exploring Operation: 66+24=90, Resulting Numbers: [90]
90,54 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: 54:[10, 77, 23], Operations: ['66-43=23']
Exploring Operation: 77-23=54, Resulting Numbers: [10, 54]
Generated Node #0,2,0: 54:[10, 54] Operation: 77-23=54
Exploring Operation: 77-10=67, Resulting Numbers: [23, 67]
Generated Node #0,2,1: 54:[23, 67] Operation: 77-10=67
Exploring Operation: 23-10=13, Resulting Numbers: [77, 13]
Generated Node #0,2,2: 54:[77, 13] Operation: 23-10=13
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 54:[10, 54], Operations: ['66-43=23', '77-23=54']
Exploring Operation: 10+54=64, Resulting Numbers: [64]
64,54 unequal: No Solution
Exploring Operation: 10*54=540, Resulting Numbers: [540]
540,54 unequal: No Solution
Exploring Operation: 54-10=44, Resulting Numbers: [44]
44,54 unequal: No Solution
No 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: 54:[23, 67], Operations: ['66-43=23', '77-10=67']
Exploring Operation: 67-23=44, Resulting Numbers: [44]
44,54 unequal: No Solution
Exploring Operation: 23+67=90, Resulting Numbers: [90]
90,54 unequal: No Solution
Exploring Operation: 23*67=1541, Resulting Numbers: [1541]
1541,54 unequal: No Solution
No 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: 54:[77, 13], Operations: ['66-43=23', '23-10=13']
Exploring Operation: 77-13=64, Resulting Numbers: [64]
64,54 unequal: No Solution
Exploring Operation: 77*13=1001, Resulting Numbers: [1001]
1001,54 unequal: No Solution
Exploring Operation: 77+13=90, Resulting Numbers: [90]
90,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
5,
37,
3,
70
] | 22 | [
"37+3=40",
"70+40=110",
"110/5=22"
] | Current State: 22:[5, 37, 3, 70], Operations: []
Exploring Operation: 37+3=40, Resulting Numbers: [5, 70, 40]
Generated Node #2: [5, 70, 40] from Operation: 37+3=40
Current State: 22:[5, 70, 40], Operations: ['37+3=40']
Exploring Operation: 70+40=110, Resulting Numbers: [5, 110]
Generated Node #3: [5, 110] from Operation: 70+40=110
Current State: 22:[5, 110], Operations: ['37+3=40', '70+40=110']
Exploring Operation: 110/5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[5, 37, 3, 70], Operations: []
Exploring Operation: 5-3=2, Resulting Numbers: [37, 70, 2]
Generated Node #0,0: 22:[37, 70, 2] Operation: 5-3=2
Exploring Operation: 70/5=14, Resulting Numbers: [37, 3, 14]
Generated Node #0,1: 22:[37, 3, 14] Operation: 70/5=14
Exploring Operation: 70-5=65, Resulting Numbers: [37, 3, 65]
Generated Node #0,2: 22:[37, 3, 65] Operation: 70-5=65
Exploring Operation: 37-5=32, Resulting Numbers: [3, 70, 32]
Generated Node #0,3: 22:[3, 70, 32] Operation: 37-5=32
Exploring Operation: 70-37=33, Resulting Numbers: [5, 3, 33]
Generated Node #0,4: 22:[5, 3, 33] Operation: 70-37=33
Start Sub Search at level 1: Moving to Node #0,4
Current State: 22:[5, 3, 33], Operations: ['70-37=33']
Exploring Operation: 33-5=28, Resulting Numbers: [3, 28]
Generated Node #0,4,0: 22:[3, 28] Operation: 33-5=28
Exploring Operation: 33/3=11, Resulting Numbers: [5, 11]
Generated Node #0,4,1: 22:[5, 11] Operation: 33/3=11
Exploring Operation: 5-3=2, Resulting Numbers: [33, 2]
Generated Node #0,4,2: 22:[33, 2] Operation: 5-3=2
Exploring Operation: 33-3=30, Resulting Numbers: [5, 30]
Generated Node #0,4,3: 22:[5, 30] Operation: 33-3=30
Exploring Operation: 5+3=8, Resulting Numbers: [33, 8]
Generated Node #0,4,4: 22:[33, 8] Operation: 5+3=8
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 22:[5, 11], Operations: ['70-37=33', '33/3=11']
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,22 unequal: No Solution
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,22 unequal: No Solution
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,22 unequal: No Solution
No 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: 22:[3, 28], Operations: ['70-37=33', '33-5=28']
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,22 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,22 unequal: No Solution
Exploring Operation: 3+28=31, Resulting Numbers: [31]
31,22 unequal: No Solution
No 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: 22:[33, 2], Operations: ['70-37=33', '5-3=2']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,22 unequal: No Solution
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,22 unequal: No Solution
No 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: 22:[5, 30], Operations: ['70-37=33', '33-3=30']
Exploring Operation: 5+30=35, Resulting Numbers: [35]
35,22 unequal: No Solution
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,22 unequal: No Solution
Exploring Operation: 5*30=150, Resulting Numbers: [150]
150,22 unequal: No Solution
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,22 unequal: No Solution
No 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: 22:[33, 8], Operations: ['70-37=33', '5+3=8']
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,22 unequal: No Solution
Exploring Operation: 33+8=41, Resulting Numbers: [41]
41,22 unequal: No Solution
Exploring Operation: 33*8=264, Resulting Numbers: [264]
264,22 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: 22:[37, 3, 14], Operations: ['70/5=14']
Exploring Operation: 14-3=11, Resulting Numbers: [37, 11]
Generated Node #0,1,0: 22:[37, 11] Operation: 14-3=11
Exploring Operation: 37+3=40, Resulting Numbers: [14, 40]
Generated Node #0,1,1: 22:[14, 40] Operation: 37+3=40
Exploring Operation: 37-3=34, Resulting Numbers: [14, 34]
Generated Node #0,1,2: 22:[14, 34] Operation: 37-3=34
Exploring Operation: 37-14=23, Resulting Numbers: [3, 23]
Generated Node #0,1,3: 22:[3, 23] Operation: 37-14=23
Exploring Operation: 3+14=17, Resulting Numbers: [37, 17]
Generated Node #0,1,4: 22:[37, 17] Operation: 3+14=17
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 22:[3, 23], Operations: ['70/5=14', '37-14=23']
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,22 unequal: No Solution
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,22 unequal: No Solution
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,22 unequal: No Solution
No 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: 22:[37, 11], Operations: ['70/5=14', '14-3=11']
Exploring Operation: 37*11=407, Resulting Numbers: [407]
407,22 unequal: No Solution
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,22 unequal: No Solution
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,22 unequal: No Solution
No 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: 22:[14, 34], Operations: ['70/5=14', '37-3=34']
Exploring Operation: 14*34=476, Resulting Numbers: [476]
476,22 unequal: No Solution
Exploring Operation: 34-14=20, Resulting Numbers: [20]
20,22 unequal: No Solution
Exploring Operation: 14+34=48, Resulting Numbers: [48]
48,22 unequal: No Solution
No 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: 22:[37, 17], Operations: ['70/5=14', '3+14=17']
Exploring Operation: 37-17=20, Resulting Numbers: [20]
20,22 unequal: No Solution
Exploring Operation: 37*17=629, Resulting Numbers: [629]
629,22 unequal: No Solution
Exploring Operation: 37+17=54, Resulting Numbers: [54]
54,22 unequal: No Solution
No 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: 22:[14, 40], Operations: ['70/5=14', '37+3=40']
Exploring Operation: 40-14=26, Resulting Numbers: [26]
26,22 unequal: No Solution
Exploring Operation: 14+40=54, Resulting Numbers: [54]
54,22 unequal: No Solution
Exploring Operation: 14*40=560, Resulting Numbers: [560]
560,22 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: 22:[37, 3, 65], Operations: ['70-5=65']
Exploring Operation: 3+65=68, Resulting Numbers: [37, 68]
Generated Node #0,2,0: 22:[37, 68] Operation: 3+65=68
Exploring Operation: 37-3=34, Resulting Numbers: [65, 34]
Generated Node #0,2,1: 22:[65, 34] Operation: 37-3=34
Exploring Operation: 65-3=62, Resulting Numbers: [37, 62]
Generated Node #0,2,2: 22:[37, 62] Operation: 65-3=62
Exploring Operation: 65-37=28, Resulting Numbers: [3, 28]
Generated Node #0,2,3: 22:[3, 28] Operation: 65-37=28
Exploring Operation: 37+3=40, Resulting Numbers: [65, 40]
Generated Node #0,2,4: 22:[65, 40] Operation: 37+3=40
Moving to Node #0,2,3
Current State: 22:[3, 28], Operations: ['70-5=65', '65-37=28']
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,22 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,22 unequal: No Solution
Exploring Operation: 3+28=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Moving to Node #0,2,2
Current State: 22:[37, 62], Operations: ['70-5=65', '65-3=62']
Exploring Operation: 62-37=25, Resulting Numbers: [25]
25,22 unequal: No Solution
Exploring Operation: 37+62=99, Resulting Numbers: [99]
99,22 unequal: No Solution
Exploring Operation: 37*62=2294, Resulting Numbers: [2294]
2294,22 unequal: No Solution
Moving to Node #0,2,1
Current State: 22:[65, 34], Operations: ['70-5=65', '37-3=34']
Exploring Operation: 65*34=2210, Resulting Numbers: [2210]
2210,22 unequal: No Solution
Exploring Operation: 65+34=99, Resulting Numbers: [99]
99,22 unequal: No Solution
Exploring Operation: 65-34=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Moving to Node #0,2,0
Current State: 22:[37, 68], Operations: ['70-5=65', '3+65=68']
Exploring Operation: 37+68=105, Resulting Numbers: [105]
105,22 unequal: No Solution
Exploring Operation: 68-37=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Exploring Operation: 37*68=2516, Resulting Numbers: [2516]
2516,22 unequal: No Solution
Moving to Node #0,2,4
Current State: 22:[65, 40], Operations: ['70-5=65', '37+3=40']
Exploring Operation: 65-40=25, Resulting Numbers: [25]
25,22 unequal: No Solution
Exploring Operation: 65+40=105, Resulting Numbers: [105]
105,22 unequal: No Solution
Exploring Operation: 65*40=2600, Resulting Numbers: [2600]
2600,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 22:[3, 70, 32], Operations: ['37-5=32']
Exploring Operation: 3+32=35, Resulting Numbers: [70, 35]
Generated Node #0,3,0: 22:[70, 35] Operation: 3+32=35
Exploring Operation: 32-3=29, Resulting Numbers: [70, 29]
Generated Node #0,3,1: 22:[70, 29] Operation: 32-3=29
Exploring Operation: 70-3=67, Resulting Numbers: [32, 67]
Generated Node #0,3,2: 22:[32, 67] Operation: 70-3=67
Exploring Operation: 70-32=38, Resulting Numbers: [3, 38]
Generated Node #0,3,3: 22:[3, 38] Operation: 70-32=38
Exploring Operation: 3+70=73, Resulting Numbers: [32, 73]
Generated Node #0,3,4: 22:[32, 73] Operation: 3+70=73
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 22:[3, 38], Operations: ['37-5=32', '70-32=38']
Exploring Operation: 3+38=41, Resulting Numbers: [41]
41,22 unequal: No Solution
Exploring Operation: 3*38=114, Resulting Numbers: [114]
114,22 unequal: No Solution
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,22 unequal: No Solution
No 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: 22:[70, 29], Operations: ['37-5=32', '32-3=29']
Exploring Operation: 70-29=41, Resulting Numbers: [41]
41,22 unequal: No Solution
Exploring Operation: 70+29=99, Resulting Numbers: [99]
99,22 unequal: No Solution
Exploring Operation: 70*29=2030, Resulting Numbers: [2030]
2030,22 unequal: No Solution
No 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: 22:[32, 67], Operations: ['37-5=32', '70-3=67']
Exploring Operation: 32*67=2144, Resulting Numbers: [2144]
2144,22 unequal: No Solution
Exploring Operation: 67-32=35, Resulting Numbers: [35]
35,22 unequal: No Solution
Exploring Operation: 32+67=99, Resulting Numbers: [99]
99,22 unequal: No Solution
No 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: 22:[70, 35], Operations: ['37-5=32', '3+32=35']
Exploring Operation: 70*35=2450, Resulting Numbers: [2450]
2450,22 unequal: No Solution
Exploring Operation: 70/35=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Exploring Operation: 70+35=105, Resulting Numbers: [105]
105,22 unequal: No Solution
Exploring Operation: 70-35=35, Resulting Numbers: [35]
35,22 unequal: No Solution
No 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: 22:[32, 73], Operations: ['37-5=32', '3+70=73']
Exploring Operation: 73-32=41, Resulting Numbers: [41]
41,22 unequal: No Solution
Exploring Operation: 32*73=2336, Resulting Numbers: [2336]
2336,22 unequal: No Solution
Exploring Operation: 32+73=105, Resulting Numbers: [105]
105,22 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: 22:[37, 70, 2], Operations: ['5-3=2']
Exploring Operation: 37+2=39, Resulting Numbers: [70, 39]
Generated Node #0,0,0: 22:[70, 39] Operation: 37+2=39
Exploring Operation: 70-2=68, Resulting Numbers: [37, 68]
Generated Node #0,0,1: 22:[37, 68] Operation: 70-2=68
Exploring Operation: 37-2=35, Resulting Numbers: [70, 35]
Generated Node #0,0,2: 22:[70, 35] Operation: 37-2=35
Exploring Operation: 70-37=33, Resulting Numbers: [2, 33]
Generated Node #0,0,3: 22:[2, 33] Operation: 70-37=33
Exploring Operation: 70/2=35, Resulting Numbers: [37, 35]
Generated Node #0,0,4: 22:[37, 35] Operation: 70/2=35
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 22:[2, 33], Operations: ['5-3=2', '70-37=33']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Exploring Operation: 2+33=35, Resulting Numbers: [35]
35,22 unequal: No Solution
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,22 unequal: No Solution
No 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: 22:[37, 35], Operations: ['5-3=2', '70/2=35']
Exploring Operation: 37-35=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Exploring Operation: 37*35=1295, Resulting Numbers: [1295]
1295,22 unequal: No Solution
Exploring Operation: 37+35=72, Resulting Numbers: [72]
72,22 unequal: No Solution
No 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: 22:[37, 68], Operations: ['5-3=2', '70-2=68']
Exploring Operation: 37+68=105, Resulting Numbers: [105]
105,22 unequal: No Solution
Exploring Operation: 37*68=2516, Resulting Numbers: [2516]
2516,22 unequal: No Solution
Exploring Operation: 68-37=31, Resulting Numbers: [31]
31,22 unequal: No Solution
No 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: 22:[70, 35], Operations: ['5-3=2', '37-2=35']
Exploring Operation: 70-35=35, Resulting Numbers: [35]
35,22 unequal: No Solution
Exploring Operation: 70*35=2450, Resulting Numbers: [2450]
2450,22 unequal: No Solution
Exploring Operation: 70+35=105, Resulting Numbers: [105]
105,22 unequal: No Solution
Exploring Operation: 70/35=2, Resulting Numbers: [2]
2,22 unequal: No Solution
No 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: 22:[70, 39], Operations: ['5-3=2', '37+2=39']
Exploring Operation: 70*39=2730, Resulting Numbers: [2730]
2730,22 unequal: No Solution
Exploring Operation: 70-39=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Exploring Operation: 70+39=109, Resulting Numbers: [109]
109,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
93,
20,
15,
77
] | 60 | [
"93-20=73",
"77-73=4",
"15*4=60"
] | Current State: 60:[93, 20, 15, 77], Operations: []
Exploring Operation: 93-20=73, Resulting Numbers: [15, 77, 73]
Generated Node #2: [15, 77, 73] from Operation: 93-20=73
Current State: 60:[15, 77, 73], Operations: ['93-20=73']
Exploring Operation: 77-73=4, Resulting Numbers: [15, 4]
Generated Node #3: [15, 4] from Operation: 77-73=4
Current State: 60:[15, 4], Operations: ['93-20=73', '77-73=4']
Exploring Operation: 15*4=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[93, 20, 15, 77], Operations: []
Exploring Operation: 93-15=78, Resulting Numbers: [20, 77, 78]
Generated Node #0,0: 60:[20, 77, 78] Operation: 93-15=78
Exploring Operation: 93-77=16, Resulting Numbers: [20, 15, 16]
Generated Node #0,1: 60:[20, 15, 16] Operation: 93-77=16
Exploring Operation: 93-20=73, Resulting Numbers: [15, 77, 73]
Generated Node #0,2: 60:[15, 77, 73] Operation: 93-20=73
Exploring Operation: 77-15=62, Resulting Numbers: [93, 20, 62]
Generated Node #0,3: 60:[93, 20, 62] Operation: 77-15=62
Exploring Operation: 77-20=57, Resulting Numbers: [93, 15, 57]
Generated Node #0,4: 60:[93, 15, 57] Operation: 77-20=57
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[20, 15, 16], Operations: ['93-77=16']
Exploring Operation: 20+15=35, Resulting Numbers: [16, 35]
Generated Node #0,1,0: 60:[16, 35] Operation: 20+15=35
Exploring Operation: 15+16=31, Resulting Numbers: [20, 31]
Generated Node #0,1,1: 60:[20, 31] Operation: 15+16=31
Exploring Operation: 20-16=4, Resulting Numbers: [15, 4]
Generated Node #0,1,2: 60:[15, 4] Operation: 20-16=4
Exploring Operation: 20-15=5, Resulting Numbers: [16, 5]
Generated Node #0,1,3: 60:[16, 5] Operation: 20-15=5
Exploring Operation: 16-15=1, Resulting Numbers: [20, 1]
Generated Node #0,1,4: 60:[20, 1] Operation: 16-15=1
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 60:[15, 4], Operations: ['93-77=16', '20-16=4']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,60 unequal: No Solution
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,60 unequal: No Solution
Exploring Operation: 15*4=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[93, 20, 15, 77], Operations: []
Exploring Operation: 93-77=16, Resulting Numbers: [20, 15, 16]
Generated Node #0,1: 60:[20, 15, 16] Operation: 93-77=16
Moving to Node #0,1
Current State: 60:[20, 15, 16], Operations: ['93-77=16']
Exploring Operation: 20-16=4, Resulting Numbers: [15, 4]
Generated Node #0,1,2: 60:[15, 4] Operation: 20-16=4
Moving to Node #0,1,2
Current State: 60:[15, 4], Operations: ['93-77=16', '20-16=4']
Exploring Operation: 15*4=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
22,
66,
2,
17
] | 76 | [
"22-17=5",
"2*5=10",
"66+10=76"
] | Current State: 76:[22, 66, 2, 17], Operations: []
Exploring Operation: 22-17=5, Resulting Numbers: [66, 2, 5]
Generated Node #2: [66, 2, 5] from Operation: 22-17=5
Current State: 76:[66, 2, 5], Operations: ['22-17=5']
Exploring Operation: 2*5=10, Resulting Numbers: [66, 10]
Generated Node #3: [66, 10] from Operation: 2*5=10
Current State: 76:[66, 10], Operations: ['22-17=5', '2*5=10']
Exploring Operation: 66+10=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[22, 66, 2, 17], Operations: []
Exploring Operation: 66/2=33, Resulting Numbers: [22, 17, 33]
Generated Node #0,0: 76:[22, 17, 33] Operation: 66/2=33
Exploring Operation: 66-22=44, Resulting Numbers: [2, 17, 44]
Generated Node #0,1: 76:[2, 17, 44] Operation: 66-22=44
Exploring Operation: 66+17=83, Resulting Numbers: [22, 2, 83]
Generated Node #0,2: 76:[22, 2, 83] Operation: 66+17=83
Exploring Operation: 66/22=3, Resulting Numbers: [2, 17, 3]
Generated Node #0,3: 76:[2, 17, 3] Operation: 66/22=3
Start Sub Search at level 1: Moving to Node #0,3
Current State: 76:[2, 17, 3], Operations: ['66/22=3']
Exploring Operation: 3-2=1, Resulting Numbers: [17, 1]
Generated Node #0,3,0: 76:[17, 1] Operation: 3-2=1
Exploring Operation: 2+3=5, Resulting Numbers: [17, 5]
Generated Node #0,3,1: 76:[17, 5] Operation: 2+3=5
Exploring Operation: 17+3=20, Resulting Numbers: [2, 20]
Generated Node #0,3,2: 76:[2, 20] Operation: 17+3=20
Exploring Operation: 2+17=19, Resulting Numbers: [3, 19]
Generated Node #0,3,3: 76:[3, 19] Operation: 2+17=19
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 76:[2, 20], Operations: ['66/22=3', '17+3=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,76 unequal: No Solution
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,76 unequal: No Solution
Exploring Operation: 2+20=22, Resulting Numbers: [22]
22,76 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,76 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:[3, 19], Operations: ['66/22=3', '2+17=19']
Exploring Operation: 3*19=57, Resulting Numbers: [57]
57,76 unequal: No Solution
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,76 unequal: No Solution
Exploring Operation: 3+19=22, Resulting Numbers: [22]
22,76 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:[17, 1], Operations: ['66/22=3', '3-2=1']
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,76 unequal: No Solution
Exploring Operation: 17+1=18, Resulting Numbers: [18]
18,76 unequal: No Solution
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,76 unequal: No Solution
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 76:[17, 5], Operations: ['66/22=3', '2+3=5']
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,76 unequal: No Solution
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,76 unequal: No Solution
Exploring Operation: 17+5=22, Resulting Numbers: [22]
22,76 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:[2, 17, 44], Operations: ['66-22=44']
Exploring Operation: 2+17=19, Resulting Numbers: [44, 19]
Generated Node #0,1,0: 76:[44, 19] Operation: 2+17=19
Exploring Operation: 44-2=42, Resulting Numbers: [17, 42]
Generated Node #0,1,1: 76:[17, 42] Operation: 44-2=42
Exploring Operation: 44/2=22, Resulting Numbers: [17, 22]
Generated Node #0,1,2: 76:[17, 22] Operation: 44/2=22
Exploring Operation: 44-17=27, Resulting Numbers: [2, 27]
Generated Node #0,1,3: 76:[2, 27] Operation: 44-17=27
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 76:[17, 22], Operations: ['66-22=44', '44/2=22']
Exploring Operation: 17+22=39, Resulting Numbers: [39]
39,76 unequal: No Solution
Exploring Operation: 22-17=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Exploring Operation: 17*22=374, Resulting Numbers: [374]
374,76 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 #0,1,0
Current State: 76:[44, 19], Operations: ['66-22=44', '2+17=19']
Exploring Operation: 44*19=836, Resulting Numbers: [836]
836,76 unequal: No Solution
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,76 unequal: No Solution
Exploring Operation: 44+19=63, Resulting Numbers: [63]
63,76 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 #0,1,1
Current State: 76:[17, 42], Operations: ['66-22=44', '44-2=42']
Exploring Operation: 42-17=25, Resulting Numbers: [25]
25,76 unequal: No Solution
Exploring Operation: 17+42=59, Resulting Numbers: [59]
59,76 unequal: No Solution
Exploring Operation: 17*42=714, Resulting Numbers: [714]
714,76 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 #0,1,3
Current State: 76:[2, 27], Operations: ['66-22=44', '44-17=27']
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,76 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,76 unequal: No Solution
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[22, 17, 33], Operations: ['66/2=33']
Exploring Operation: 33-22=11, Resulting Numbers: [17, 11]
Generated Node #0,0,0: 76:[17, 11] Operation: 33-22=11
Exploring Operation: 22-17=5, Resulting Numbers: [33, 5]
Generated Node #0,0,1: 76:[33, 5] Operation: 22-17=5
Exploring Operation: 22+17=39, Resulting Numbers: [33, 39]
Generated Node #0,0,2: 76:[33, 39] Operation: 22+17=39
Exploring Operation: 33-17=16, Resulting Numbers: [22, 16]
Generated Node #0,0,3: 76:[22, 16] Operation: 33-17=16
Moving to Node #0,0,1
Current State: 76:[33, 5], Operations: ['66/2=33', '22-17=5']
Exploring Operation: 33+5=38, Resulting Numbers: [38]
38,76 unequal: No Solution
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,76 unequal: No Solution
Exploring Operation: 33*5=165, Resulting Numbers: [165]
165,76 unequal: No Solution
Moving to Node #0,0,3
Current State: 76:[22, 16], Operations: ['66/2=33', '33-17=16']
Exploring Operation: 22+16=38, Resulting Numbers: [38]
38,76 unequal: No Solution
Exploring Operation: 22*16=352, Resulting Numbers: [352]
352,76 unequal: No Solution
Exploring Operation: 22-16=6, Resulting Numbers: [6]
6,76 unequal: No Solution
Moving to Node #0,0,2
Current State: 76:[33, 39], Operations: ['66/2=33', '22+17=39']
Exploring Operation: 33+39=72, Resulting Numbers: [72]
72,76 unequal: No Solution
Exploring Operation: 33*39=1287, Resulting Numbers: [1287]
1287,76 unequal: No Solution
Exploring Operation: 39-33=6, Resulting Numbers: [6]
6,76 unequal: No Solution
Moving to Node #0,0,0
Current State: 76:[17, 11], Operations: ['66/2=33', '33-22=11']
Exploring Operation: 17*11=187, Resulting Numbers: [187]
187,76 unequal: No Solution
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,76 unequal: No Solution
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 76:[22, 2, 83], Operations: ['66+17=83']
Exploring Operation: 83-2=81, Resulting Numbers: [22, 81]
Generated Node #0,2,0: 76:[22, 81] Operation: 83-2=81
Exploring Operation: 2+83=85, Resulting Numbers: [22, 85]
Generated Node #0,2,1: 76:[22, 85] Operation: 2+83=85
Exploring Operation: 22+2=24, Resulting Numbers: [83, 24]
Generated Node #0,2,2: 76:[83, 24] Operation: 22+2=24
Exploring Operation: 22-2=20, Resulting Numbers: [83, 20]
Generated Node #0,2,3: 76:[83, 20] Operation: 22-2=20
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 76:[22, 81], Operations: ['66+17=83', '83-2=81']
Exploring Operation: 22+81=103, Resulting Numbers: [103]
103,76 unequal: No Solution
Exploring Operation: 81-22=59, Resulting Numbers: [59]
59,76 unequal: No Solution
Exploring Operation: 22*81=1782, Resulting Numbers: [1782]
1782,76 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:[83, 20], Operations: ['66+17=83', '22-2=20']
Exploring Operation: 83+20=103, Resulting Numbers: [103]
103,76 unequal: No Solution
Exploring Operation: 83*20=1660, Resulting Numbers: [1660]
1660,76 unequal: No Solution
Exploring Operation: 83-20=63, Resulting Numbers: [63]
63,76 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:[22, 85], Operations: ['66+17=83', '2+83=85']
Exploring Operation: 22*85=1870, Resulting Numbers: [1870]
1870,76 unequal: No Solution
Exploring Operation: 85-22=63, Resulting Numbers: [63]
63,76 unequal: No Solution
Exploring Operation: 22+85=107, Resulting Numbers: [107]
107,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 76:[83, 24], Operations: ['66+17=83', '22+2=24']
Exploring Operation: 83-24=59, Resulting Numbers: [59]
59,76 unequal: No Solution
Exploring Operation: 83+24=107, Resulting Numbers: [107]
107,76 unequal: No Solution
Exploring Operation: 83*24=1992, Resulting Numbers: [1992]
1992,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
66,
15,
39,
17
] | 24 | [
"66+39=105",
"105/15=7",
"17+7=24"
] | Current State: 24:[66, 15, 39, 17], Operations: []
Exploring Operation: 66+39=105, Resulting Numbers: [15, 17, 105]
Generated Node #2: [15, 17, 105] from Operation: 66+39=105
Current State: 24:[15, 17, 105], Operations: ['66+39=105']
Exploring Operation: 105/15=7, Resulting Numbers: [17, 7]
Generated Node #3: [17, 7] from Operation: 105/15=7
Current State: 24:[17, 7], Operations: ['66+39=105', '105/15=7']
Exploring Operation: 17+7=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[66, 15, 39, 17], Operations: []
Exploring Operation: 66-39=27, Resulting Numbers: [15, 17, 27]
Generated Node #0,0: 24:[15, 17, 27] Operation: 66-39=27
Exploring Operation: 66-17=49, Resulting Numbers: [15, 39, 49]
Generated Node #0,1: 24:[15, 39, 49] Operation: 66-17=49
Moving to Node #0,0
Current State: 24:[15, 17, 27], Operations: ['66-39=27']
Exploring Operation: 27-15=12, Resulting Numbers: [17, 12]
Generated Node #0,0,0: 24:[17, 12] Operation: 27-15=12
Exploring Operation: 17-15=2, Resulting Numbers: [27, 2]
Generated Node #0,0,1: 24:[27, 2] Operation: 17-15=2
Moving to Node #0,1
Current State: 24:[15, 39, 49], Operations: ['66-17=49']
Exploring Operation: 49-39=10, Resulting Numbers: [15, 10]
Generated Node #0,1,0: 24:[15, 10] Operation: 49-39=10
Exploring Operation: 39-15=24, Resulting Numbers: [49, 24]
Generated Node #0,1,1: 24:[49, 24] Operation: 39-15=24
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 24:[15, 10], Operations: ['66-17=49', '49-39=10']
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,24 unequal: No Solution
Exploring Operation: 15+10=25, Resulting Numbers: [25]
25,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 24:[49, 24], Operations: ['66-17=49', '39-15=24']
Exploring Operation: 49-24=25, Resulting Numbers: [25]
25,24 unequal: No Solution
Exploring Operation: 49+24=73, Resulting Numbers: [73]
73,24 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: 24:[27, 2], Operations: ['66-39=27', '17-15=2']
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,24 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,24 unequal: No Solution
Moving to Node #0,0,0
Current State: 24:[17, 12], Operations: ['66-39=27', '27-15=12']
Exploring Operation: 17+12=29, Resulting Numbers: [29]
29,24 unequal: No Solution
Exploring Operation: 17-12=5, Resulting Numbers: [5]
5,24 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
61,
96,
60,
52
] | 73 | [
"60-52=8",
"96/8=12",
"61+12=73"
] | Current State: 73:[61, 96, 60, 52], Operations: []
Exploring Operation: 60-52=8, Resulting Numbers: [61, 96, 8]
Generated Node #2: [61, 96, 8] from Operation: 60-52=8
Current State: 73:[61, 96, 8], Operations: ['60-52=8']
Exploring Operation: 96/8=12, Resulting Numbers: [61, 12]
Generated Node #3: [61, 12] from Operation: 96/8=12
Current State: 73:[61, 12], Operations: ['60-52=8', '96/8=12']
Exploring Operation: 61+12=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[61, 96, 60, 52], Operations: []
Exploring Operation: 96-61=35, Resulting Numbers: [60, 52, 35]
Generated Node #0,0: 73:[60, 52, 35] Operation: 96-61=35
Exploring Operation: 96-60=36, Resulting Numbers: [61, 52, 36]
Generated Node #0,1: 73:[61, 52, 36] Operation: 96-60=36
Exploring Operation: 96-52=44, Resulting Numbers: [61, 60, 44]
Generated Node #0,2: 73:[61, 60, 44] Operation: 96-52=44
Exploring Operation: 60+52=112, Resulting Numbers: [61, 96, 112]
Generated Node #0,3: 73:[61, 96, 112] Operation: 60+52=112
Moving to Node #0,2
Current State: 73:[61, 60, 44], Operations: ['96-52=44']
Exploring Operation: 60-44=16, Resulting Numbers: [61, 16]
Generated Node #0,2,0: 73:[61, 16] Operation: 60-44=16
Exploring Operation: 61+44=105, Resulting Numbers: [60, 105]
Generated Node #0,2,1: 73:[60, 105] Operation: 61+44=105
Exploring Operation: 61-44=17, Resulting Numbers: [60, 17]
Generated Node #0,2,2: 73:[60, 17] Operation: 61-44=17
Exploring Operation: 60+44=104, Resulting Numbers: [61, 104]
Generated Node #0,2,3: 73:[61, 104] Operation: 60+44=104
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 73:[61, 104], Operations: ['96-52=44', '60+44=104']
Exploring Operation: 61+104=165, Resulting Numbers: [165]
165,73 unequal: No Solution
Exploring Operation: 104-61=43, Resulting Numbers: [43]
43,73 unequal: No Solution
Exploring Operation: 61*104=6344, Resulting Numbers: [6344]
6344,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 73:[60, 105], Operations: ['96-52=44', '61+44=105']
Exploring Operation: 60+105=165, Resulting Numbers: [165]
165,73 unequal: No Solution
Exploring Operation: 60*105=6300, Resulting Numbers: [6300]
6300,73 unequal: No Solution
Exploring Operation: 105-60=45, Resulting Numbers: [45]
45,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 73:[61, 16], Operations: ['96-52=44', '60-44=16']
Exploring Operation: 61-16=45, Resulting Numbers: [45]
45,73 unequal: No Solution
Exploring Operation: 61+16=77, Resulting Numbers: [77]
77,73 unequal: No Solution
Exploring Operation: 61*16=976, Resulting Numbers: [976]
976,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 73:[60, 17], Operations: ['96-52=44', '61-44=17']
Exploring Operation: 60+17=77, Resulting Numbers: [77]
77,73 unequal: No Solution
Exploring Operation: 60*17=1020, Resulting Numbers: [1020]
1020,73 unequal: No Solution
Exploring Operation: 60-17=43, Resulting Numbers: [43]
43,73 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: 73:[61, 52, 36], Operations: ['96-60=36']
Exploring Operation: 61+36=97, Resulting Numbers: [52, 97]
Generated Node #0,1,0: 73:[52, 97] Operation: 61+36=97
Exploring Operation: 61-36=25, Resulting Numbers: [52, 25]
Generated Node #0,1,1: 73:[52, 25] Operation: 61-36=25
Exploring Operation: 52-36=16, Resulting Numbers: [61, 16]
Generated Node #0,1,2: 73:[61, 16] Operation: 52-36=16
Exploring Operation: 52+36=88, Resulting Numbers: [61, 88]
Generated Node #0,1,3: 73:[61, 88] Operation: 52+36=88
Moving to Node #0,0
Current State: 73:[60, 52, 35], Operations: ['96-61=35']
Exploring Operation: 60-35=25, Resulting Numbers: [52, 25]
Generated Node #0,0,0: 73:[52, 25] Operation: 60-35=25
Exploring Operation: 52-35=17, Resulting Numbers: [60, 17]
Generated Node #0,0,1: 73:[60, 17] Operation: 52-35=17
Exploring Operation: 52+35=87, Resulting Numbers: [60, 87]
Generated Node #0,0,2: 73:[60, 87] Operation: 52+35=87
Exploring Operation: 60+35=95, Resulting Numbers: [52, 95]
Generated Node #0,0,3: 73:[52, 95] Operation: 60+35=95
Moving to Node #0,3
Current State: 73:[61, 96, 112], Operations: ['60+52=112']
Exploring Operation: 112-96=16, Resulting Numbers: [61, 16]
Generated Node #0,3,0: 73:[61, 16] Operation: 112-96=16
Exploring Operation: 112-61=51, Resulting Numbers: [96, 51]
Generated Node #0,3,1: 73:[96, 51] Operation: 112-61=51
Exploring Operation: 61+96=157, Resulting Numbers: [112, 157]
Generated Node #0,3,2: 73:[112, 157] Operation: 61+96=157
Exploring Operation: 96-61=35, Resulting Numbers: [112, 35]
Generated Node #0,3,3: 73:[112, 35] Operation: 96-61=35
Moving to Node #0,1,3
Current State: 73:[61, 88], Operations: ['96-60=36', '52+36=88']
Exploring Operation: 61*88=5368, Resulting Numbers: [5368]
5368,73 unequal: No Solution
Exploring Operation: 88-61=27, Resulting Numbers: [27]
27,73 unequal: No Solution
Exploring Operation: 61+88=149, Resulting Numbers: [149]
149,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[60, 87], Operations: ['96-61=35', '52+35=87']
Exploring Operation: 60+87=147, Resulting Numbers: [147]
147,73 unequal: No Solution
Exploring Operation: 87-60=27, Resulting Numbers: [27]
27,73 unequal: No Solution
Exploring Operation: 60*87=5220, Resulting Numbers: [5220]
5220,73 unequal: No Solution
Moving to Node #0,0,3
Current State: 73:[52, 95], Operations: ['96-61=35', '60+35=95']
Exploring Operation: 95-52=43, Resulting Numbers: [43]
43,73 unequal: No Solution
Exploring Operation: 52+95=147, Resulting Numbers: [147]
147,73 unequal: No Solution
Exploring Operation: 52*95=4940, Resulting Numbers: [4940]
4940,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[52, 97], Operations: ['96-60=36', '61+36=97']
Exploring Operation: 97-52=45, Resulting Numbers: [45]
45,73 unequal: No Solution
Exploring Operation: 52+97=149, Resulting Numbers: [149]
149,73 unequal: No Solution
Exploring Operation: 52*97=5044, Resulting Numbers: [5044]
5044,73 unequal: No Solution
Moving to Node #0,3,1
Current State: 73:[96, 51], Operations: ['60+52=112', '112-61=51']
Exploring Operation: 96-51=45, Resulting Numbers: [45]
45,73 unequal: No Solution
Exploring Operation: 96+51=147, Resulting Numbers: [147]
147,73 unequal: No Solution
Exploring Operation: 96*51=4896, Resulting Numbers: [4896]
4896,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[52, 25], Operations: ['96-61=35', '60-35=25']
Exploring Operation: 52*25=1300, Resulting Numbers: [1300]
1300,73 unequal: No Solution
Exploring Operation: 52-25=27, Resulting Numbers: [27]
27,73 unequal: No Solution
Exploring Operation: 52+25=77, Resulting Numbers: [77]
77,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[52, 25], Operations: ['96-60=36', '61-36=25']
Exploring Operation: 52-25=27, Resulting Numbers: [27]
27,73 unequal: No Solution
Exploring Operation: 52*25=1300, Resulting Numbers: [1300]
1300,73 unequal: No Solution
Exploring Operation: 52+25=77, Resulting Numbers: [77]
77,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[60, 17], Operations: ['96-61=35', '52-35=17']
Exploring Operation: 60-17=43, Resulting Numbers: [43]
43,73 unequal: No Solution
Exploring Operation: 60+17=77, Resulting Numbers: [77]
77,73 unequal: No Solution
Exploring Operation: 60*17=1020, Resulting Numbers: [1020]
1020,73 unequal: No Solution
Moving to Node #0,3,0
Current State: 73:[61, 16], Operations: ['60+52=112', '112-96=16']
Exploring Operation: 61+16=77, Resulting Numbers: [77]
77,73 unequal: No Solution
Exploring Operation: 61-16=45, Resulting Numbers: [45]
45,73 unequal: No Solution
Exploring Operation: 61*16=976, Resulting Numbers: [976]
976,73 unequal: No Solution
Moving to Node #0,1,2
Current State: 73:[61, 16], Operations: ['96-60=36', '52-36=16']
Exploring Operation: 61-16=45, Resulting Numbers: [45]
45,73 unequal: No Solution
Exploring Operation: 61+16=77, Resulting Numbers: [77]
77,73 unequal: No Solution
Exploring Operation: 61*16=976, Resulting Numbers: [976]
976,73 unequal: No Solution
Moving to Node #0,3,3
Current State: 73:[112, 35], Operations: ['60+52=112', '96-61=35']
Exploring Operation: 112-35=77, Resulting Numbers: [77]
77,73 unequal: No Solution
Exploring Operation: 112+35=147, Resulting Numbers: [147]
147,73 unequal: No Solution
Exploring Operation: 112*35=3920, Resulting Numbers: [3920]
3920,73 unequal: No Solution
Moving to Node #0,3,2
Current State: 73:[112, 157], Operations: ['60+52=112', '61+96=157']
Exploring Operation: 112+157=269, Resulting Numbers: [269]
269,73 unequal: No Solution
Exploring Operation: 112*157=17584, Resulting Numbers: [17584]
17584,73 unequal: No Solution
Exploring Operation: 157-112=45, Resulting Numbers: [45]
45,73 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
92,
14,
44,
76
] | 14 | [
"92+14=106",
"44+76=120",
"120-106=14"
] | Current State: 14:[92, 14, 44, 76], Operations: []
Exploring Operation: 92+14=106, Resulting Numbers: [44, 76, 106]
Generated Node #2: [44, 76, 106] from Operation: 92+14=106
Current State: 14:[44, 76, 106], Operations: ['92+14=106']
Exploring Operation: 44+76=120, Resulting Numbers: [106, 120]
Generated Node #3: [106, 120] from Operation: 44+76=120
Current State: 14:[106, 120], Operations: ['92+14=106', '44+76=120']
Exploring Operation: 120-106=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[92, 14, 44, 76], Operations: []
Exploring Operation: 92-14=78, Resulting Numbers: [44, 76, 78]
Generated Node #0,0: 14:[44, 76, 78] Operation: 92-14=78
Exploring Operation: 92-76=16, Resulting Numbers: [14, 44, 16]
Generated Node #0,1: 14:[14, 44, 16] Operation: 92-76=16
Exploring Operation: 76-44=32, Resulting Numbers: [92, 14, 32]
Generated Node #0,2: 14:[92, 14, 32] Operation: 76-44=32
Exploring Operation: 92-44=48, Resulting Numbers: [14, 76, 48]
Generated Node #0,3: 14:[14, 76, 48] Operation: 92-44=48
Exploring Operation: 44-14=30, Resulting Numbers: [92, 76, 30]
Generated Node #0,4: 14:[92, 76, 30] Operation: 44-14=30
Moving to Node #0,1
Current State: 14:[14, 44, 16], Operations: ['92-76=16']
Exploring Operation: 14+44=58, Resulting Numbers: [16, 58]
Generated Node #0,1,0: 14:[16, 58] Operation: 14+44=58
Exploring Operation: 14+16=30, Resulting Numbers: [44, 30]
Generated Node #0,1,1: 14:[44, 30] Operation: 14+16=30
Exploring Operation: 44-14=30, Resulting Numbers: [16, 30]
Generated Node #0,1,2: 14:[16, 30] Operation: 44-14=30
Exploring Operation: 16-14=2, Resulting Numbers: [44, 2]
Generated Node #0,1,3: 14:[44, 2] Operation: 16-14=2
Exploring Operation: 44-16=28, Resulting Numbers: [14, 28]
Generated Node #0,1,4: 14:[14, 28] Operation: 44-16=28
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 14:[14, 28], Operations: ['92-76=16', '44-16=28']
Exploring Operation: 14*28=392, Resulting Numbers: [392]
392,14 unequal: No Solution
Exploring Operation: 14+28=42, Resulting Numbers: [42]
42,14 unequal: No Solution
Exploring Operation: 28/14=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[92, 14, 44, 76], Operations: []
Exploring Operation: 92-76=16, Resulting Numbers: [14, 44, 16]
Generated Node #0,1: 14:[14, 44, 16] Operation: 92-76=16
Moving to Node #0,1
Current State: 14:[14, 44, 16], Operations: ['92-76=16']
Exploring Operation: 44-16=28, Resulting Numbers: [14, 28]
Generated Node #0,1,4: 14:[14, 28] Operation: 44-16=28
Moving to Node #0,1,4
Current State: 14:[14, 28], Operations: ['92-76=16', '44-16=28']
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
95,
14,
78,
74
] | 43 | [
"95+14=109",
"78+74=152",
"152-109=43"
] | Current State: 43:[95, 14, 78, 74], Operations: []
Exploring Operation: 95+14=109, Resulting Numbers: [78, 74, 109]
Generated Node #2: [78, 74, 109] from Operation: 95+14=109
Current State: 43:[78, 74, 109], Operations: ['95+14=109']
Exploring Operation: 78+74=152, Resulting Numbers: [109, 152]
Generated Node #3: [109, 152] from Operation: 78+74=152
Current State: 43:[109, 152], Operations: ['95+14=109', '78+74=152']
Exploring Operation: 152-109=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[95, 14, 78, 74], Operations: []
Exploring Operation: 95-14=81, Resulting Numbers: [78, 74, 81]
Generated Node #0,0: 43:[78, 74, 81] Operation: 95-14=81
Exploring Operation: 95-74=21, Resulting Numbers: [14, 78, 21]
Generated Node #0,1: 43:[14, 78, 21] Operation: 95-74=21
Exploring Operation: 95-78=17, Resulting Numbers: [14, 74, 17]
Generated Node #0,2: 43:[14, 74, 17] Operation: 95-78=17
Exploring Operation: 78-14=64, Resulting Numbers: [95, 74, 64]
Generated Node #0,3: 43:[95, 74, 64] Operation: 78-14=64
Moving to Node #0,1
Current State: 43:[14, 78, 21], Operations: ['95-74=21']
Exploring Operation: 78-14=64, Resulting Numbers: [21, 64]
Generated Node #0,1,0: 43:[21, 64] Operation: 78-14=64
Exploring Operation: 14+21=35, Resulting Numbers: [78, 35]
Generated Node #0,1,1: 43:[78, 35] Operation: 14+21=35
Exploring Operation: 78-21=57, Resulting Numbers: [14, 57]
Generated Node #0,1,2: 43:[14, 57] Operation: 78-21=57
Exploring Operation: 14+78=92, Resulting Numbers: [21, 92]
Generated Node #0,1,3: 43:[21, 92] Operation: 14+78=92
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 43:[21, 64], Operations: ['95-74=21', '78-14=64']
Exploring Operation: 64-21=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[95, 14, 78, 74], Operations: []
Exploring Operation: 95-74=21, Resulting Numbers: [14, 78, 21]
Generated Node #0,1: 43:[14, 78, 21] Operation: 95-74=21
Moving to Node #0,1
Current State: 43:[14, 78, 21], Operations: ['95-74=21']
Exploring Operation: 78-14=64, Resulting Numbers: [21, 64]
Generated Node #0,1,0: 43:[21, 64] Operation: 78-14=64
Moving to Node #0,1,0
Current State: 43:[21, 64], Operations: ['95-74=21', '78-14=64']
Exploring Operation: 64-21=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
18,
82,
9,
5
] | 89 | [
"18/9=2",
"82+5=87",
"2+87=89"
] | Current State: 89:[18, 82, 9, 5], Operations: []
Exploring Operation: 18/9=2, Resulting Numbers: [82, 5, 2]
Generated Node #2: [82, 5, 2] from Operation: 18/9=2
Current State: 89:[82, 5, 2], Operations: ['18/9=2']
Exploring Operation: 82+5=87, Resulting Numbers: [2, 87]
Generated Node #3: [2, 87] from Operation: 82+5=87
Current State: 89:[2, 87], Operations: ['18/9=2', '82+5=87']
Exploring Operation: 2+87=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[18, 82, 9, 5], Operations: []
Exploring Operation: 18*5=90, Resulting Numbers: [82, 9, 90]
Generated Node #0,0: 89:[82, 9, 90] Operation: 18*5=90
Exploring Operation: 18+9=27, Resulting Numbers: [82, 5, 27]
Generated Node #0,1: 89:[82, 5, 27] Operation: 18+9=27
Exploring Operation: 18+5=23, Resulting Numbers: [82, 9, 23]
Generated Node #0,2: 89:[82, 9, 23] Operation: 18+5=23
Exploring Operation: 9*5=45, Resulting Numbers: [18, 82, 45]
Generated Node #0,3: 89:[18, 82, 45] Operation: 9*5=45
Moving to Node #0,0
Current State: 89:[82, 9, 90], Operations: ['18*5=90']
Exploring Operation: 90-9=81, Resulting Numbers: [82, 81]
Generated Node #0,0,0: 89:[82, 81] Operation: 90-9=81
Exploring Operation: 82+9=91, Resulting Numbers: [90, 91]
Generated Node #0,0,1: 89:[90, 91] Operation: 82+9=91
Exploring Operation: 82-9=73, Resulting Numbers: [90, 73]
Generated Node #0,0,2: 89:[90, 73] Operation: 82-9=73
Exploring Operation: 9+90=99, Resulting Numbers: [82, 99]
Generated Node #0,0,3: 89:[82, 99] Operation: 9+90=99
Moving to Node #0,3
Current State: 89:[18, 82, 45], Operations: ['9*5=45']
Exploring Operation: 82-18=64, Resulting Numbers: [45, 64]
Generated Node #0,3,0: 89:[45, 64] Operation: 82-18=64
Exploring Operation: 18+82=100, Resulting Numbers: [45, 100]
Generated Node #0,3,1: 89:[45, 100] Operation: 18+82=100
Exploring Operation: 45-18=27, Resulting Numbers: [82, 27]
Generated Node #0,3,2: 89:[82, 27] Operation: 45-18=27
Exploring Operation: 18+45=63, Resulting Numbers: [82, 63]
Generated Node #0,3,3: 89:[82, 63] Operation: 18+45=63
Moving to Node #0,2
Current State: 89:[82, 9, 23], Operations: ['18+5=23']
Exploring Operation: 9+23=32, Resulting Numbers: [82, 32]
Generated Node #0,2,0: 89:[82, 32] Operation: 9+23=32
Exploring Operation: 23-9=14, Resulting Numbers: [82, 14]
Generated Node #0,2,1: 89:[82, 14] Operation: 23-9=14
Exploring Operation: 82+9=91, Resulting Numbers: [23, 91]
Generated Node #0,2,2: 89:[23, 91] Operation: 82+9=91
Exploring Operation: 82-9=73, Resulting Numbers: [23, 73]
Generated Node #0,2,3: 89:[23, 73] Operation: 82-9=73
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 89:[82, 32], Operations: ['18+5=23', '9+23=32']
Exploring Operation: 82*32=2624, Resulting Numbers: [2624]
2624,89 unequal: No Solution
Exploring Operation: 82-32=50, Resulting Numbers: [50]
50,89 unequal: No Solution
Exploring Operation: 82+32=114, Resulting Numbers: [114]
114,89 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 #0,2,2
Current State: 89:[23, 91], Operations: ['18+5=23', '82+9=91']
Exploring Operation: 23*91=2093, Resulting Numbers: [2093]
2093,89 unequal: No Solution
Exploring Operation: 91-23=68, Resulting Numbers: [68]
68,89 unequal: No Solution
Exploring Operation: 23+91=114, Resulting Numbers: [114]
114,89 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 #0,2,1
Current State: 89:[82, 14], Operations: ['18+5=23', '23-9=14']
Exploring Operation: 82+14=96, Resulting Numbers: [96]
96,89 unequal: No Solution
Exploring Operation: 82-14=68, Resulting Numbers: [68]
68,89 unequal: No Solution
Exploring Operation: 82*14=1148, Resulting Numbers: [1148]
1148,89 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 #0,2,3
Current State: 89:[23, 73], Operations: ['18+5=23', '82-9=73']
Exploring Operation: 73-23=50, Resulting Numbers: [50]
50,89 unequal: No Solution
Exploring Operation: 23*73=1679, Resulting Numbers: [1679]
1679,89 unequal: No Solution
Exploring Operation: 23+73=96, Resulting Numbers: [96]
96,89 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: 89:[82, 5, 27], Operations: ['18+9=27']
Exploring Operation: 82+5=87, Resulting Numbers: [27, 87]
Generated Node #0,1,0: 89:[27, 87] Operation: 82+5=87
Exploring Operation: 82-5=77, Resulting Numbers: [27, 77]
Generated Node #0,1,1: 89:[27, 77] Operation: 82-5=77
Exploring Operation: 5*27=135, Resulting Numbers: [82, 135]
Generated Node #0,1,2: 89:[82, 135] Operation: 5*27=135
Exploring Operation: 5+27=32, Resulting Numbers: [82, 32]
Generated Node #0,1,3: 89:[82, 32] Operation: 5+27=32
Moving to Node #0,0,1
Current State: 89:[90, 91], Operations: ['18*5=90', '82+9=91']
Exploring Operation: 90*91=8190, Resulting Numbers: [8190]
8190,89 unequal: No Solution
Exploring Operation: 91-90=1, Resulting Numbers: [1]
1,89 unequal: No Solution
Exploring Operation: 90+91=181, Resulting Numbers: [181]
181,89 unequal: No Solution
Moving to Node #0,0,0
Current State: 89:[82, 81], Operations: ['18*5=90', '90-9=81']
Exploring Operation: 82*81=6642, Resulting Numbers: [6642]
6642,89 unequal: No Solution
Exploring Operation: 82+81=163, Resulting Numbers: [163]
163,89 unequal: No Solution
Exploring Operation: 82-81=1, Resulting Numbers: [1]
1,89 unequal: No Solution
Moving to Node #0,0,2
Current State: 89:[90, 73], Operations: ['18*5=90', '82-9=73']
Exploring Operation: 90+73=163, Resulting Numbers: [163]
163,89 unequal: No Solution
Exploring Operation: 90-73=17, Resulting Numbers: [17]
17,89 unequal: No Solution
Exploring Operation: 90*73=6570, Resulting Numbers: [6570]
6570,89 unequal: No Solution
Moving to Node #0,0,3
Current State: 89:[82, 99], Operations: ['18*5=90', '9+90=99']
Exploring Operation: 82*99=8118, Resulting Numbers: [8118]
8118,89 unequal: No Solution
Exploring Operation: 82+99=181, Resulting Numbers: [181]
181,89 unequal: No Solution
Exploring Operation: 99-82=17, Resulting Numbers: [17]
17,89 unequal: No Solution
Moving to Node #0,3,3
Current State: 89:[82, 63], Operations: ['9*5=45', '18+45=63']
Exploring Operation: 82+63=145, Resulting Numbers: [145]
145,89 unequal: No Solution
Exploring Operation: 82-63=19, Resulting Numbers: [19]
19,89 unequal: No Solution
Exploring Operation: 82*63=5166, Resulting Numbers: [5166]
5166,89 unequal: No Solution
Moving to Node #0,1,2
Current State: 89:[82, 135], Operations: ['18+9=27', '5*27=135']
Exploring Operation: 82*135=11070, Resulting Numbers: [11070]
11070,89 unequal: No Solution
Exploring Operation: 135-82=53, Resulting Numbers: [53]
53,89 unequal: No Solution
Exploring Operation: 82+135=217, Resulting Numbers: [217]
217,89 unequal: No Solution
Moving to Node #0,3,1
Current State: 89:[45, 100], Operations: ['9*5=45', '18+82=100']
Exploring Operation: 100-45=55, Resulting Numbers: [55]
55,89 unequal: No Solution
Exploring Operation: 45+100=145, Resulting Numbers: [145]
145,89 unequal: No Solution
Exploring Operation: 45*100=4500, Resulting Numbers: [4500]
4500,89 unequal: No Solution
Moving to Node #0,1,3
Current State: 89:[82, 32], Operations: ['18+9=27', '5+27=32']
Exploring Operation: 82-32=50, Resulting Numbers: [50]
50,89 unequal: No Solution
Exploring Operation: 82*32=2624, Resulting Numbers: [2624]
2624,89 unequal: No Solution
Exploring Operation: 82+32=114, Resulting Numbers: [114]
114,89 unequal: No Solution
Moving to Node #0,1,0
Current State: 89:[27, 87], Operations: ['18+9=27', '82+5=87']
Exploring Operation: 27*87=2349, Resulting Numbers: [2349]
2349,89 unequal: No Solution
Exploring Operation: 27+87=114, Resulting Numbers: [114]
114,89 unequal: No Solution
Exploring Operation: 87-27=60, Resulting Numbers: [60]
60,89 unequal: No Solution
Moving to Node #0,3,0
Current State: 89:[45, 64], Operations: ['9*5=45', '82-18=64']
Exploring Operation: 45+64=109, Resulting Numbers: [109]
109,89 unequal: No Solution
Exploring Operation: 45*64=2880, Resulting Numbers: [2880]
2880,89 unequal: No Solution
Exploring Operation: 64-45=19, Resulting Numbers: [19]
19,89 unequal: No Solution
Moving to Node #0,3,2
Current State: 89:[82, 27], Operations: ['9*5=45', '45-18=27']
Exploring Operation: 82-27=55, Resulting Numbers: [55]
55,89 unequal: No Solution
Exploring Operation: 82*27=2214, Resulting Numbers: [2214]
2214,89 unequal: No Solution
Exploring Operation: 82+27=109, Resulting Numbers: [109]
109,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[27, 77], Operations: ['18+9=27', '82-5=77']
Exploring Operation: 27+77=104, Resulting Numbers: [104]
104,89 unequal: No Solution
Exploring Operation: 27*77=2079, Resulting Numbers: [2079]
2079,89 unequal: No Solution
Exploring Operation: 77-27=50, Resulting Numbers: [50]
50,89 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
10,
61,
98,
57
] | 22 | [
"98-10=88",
"61-57=4",
"88/4=22"
] | Current State: 22:[10, 61, 98, 57], Operations: []
Exploring Operation: 98-10=88, Resulting Numbers: [61, 57, 88]
Generated Node #2: [61, 57, 88] from Operation: 98-10=88
Current State: 22:[61, 57, 88], Operations: ['98-10=88']
Exploring Operation: 61-57=4, Resulting Numbers: [88, 4]
Generated Node #3: [88, 4] from Operation: 61-57=4
Current State: 22:[88, 4], Operations: ['98-10=88', '61-57=4']
Exploring Operation: 88/4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[10, 61, 98, 57], Operations: []
Exploring Operation: 98-61=37, Resulting Numbers: [10, 57, 37]
Generated Node #0,0: 22:[10, 57, 37] Operation: 98-61=37
Moving to Node #0,0
Current State: 22:[10, 57, 37], Operations: ['98-61=37']
Exploring Operation: 57-37=20, Resulting Numbers: [10, 20]
Generated Node #0,0,0: 22:[10, 20] Operation: 57-37=20
Moving to Node #0,0,0
Current State: 22:[10, 20], Operations: ['98-61=37', '57-37=20']
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,22 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
98,
66,
7,
28
] | 56 | [
"98-28=70",
"70/7=10",
"66-10=56"
] | Current State: 56:[98, 66, 7, 28], Operations: []
Exploring Operation: 98-28=70, Resulting Numbers: [66, 7, 70]
Generated Node #2: [66, 7, 70] from Operation: 98-28=70
Current State: 56:[66, 7, 70], Operations: ['98-28=70']
Exploring Operation: 70/7=10, Resulting Numbers: [66, 10]
Generated Node #3: [66, 10] from Operation: 70/7=10
Current State: 56:[66, 10], Operations: ['98-28=70', '70/7=10']
Exploring Operation: 66-10=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[98, 66, 7, 28], Operations: []
Exploring Operation: 98-66=32, Resulting Numbers: [7, 28, 32]
Generated Node #0,0: 56:[7, 28, 32] Operation: 98-66=32
Exploring Operation: 98-7=91, Resulting Numbers: [66, 28, 91]
Generated Node #0,1: 56:[66, 28, 91] Operation: 98-7=91
Exploring Operation: 98-28=70, Resulting Numbers: [66, 7, 70]
Generated Node #0,2: 56:[66, 7, 70] Operation: 98-28=70
Exploring Operation: 98/7=14, Resulting Numbers: [66, 28, 14]
Generated Node #0,3: 56:[66, 28, 14] Operation: 98/7=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[7, 28, 32], Operations: ['98-66=32']
Exploring Operation: 32-28=4, Resulting Numbers: [7, 4]
Generated Node #0,0,0: 56:[7, 4] Operation: 32-28=4
Exploring Operation: 32-7=25, Resulting Numbers: [28, 25]
Generated Node #0,0,1: 56:[28, 25] Operation: 32-7=25
Exploring Operation: 28/7=4, Resulting Numbers: [32, 4]
Generated Node #0,0,2: 56:[32, 4] Operation: 28/7=4
Exploring Operation: 28+32=60, Resulting Numbers: [7, 60]
Generated Node #0,0,3: 56:[7, 60] Operation: 28+32=60
Moving to Node #0,0,0
Current State: 56:[7, 4], Operations: ['98-66=32', '32-28=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,56 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,56 unequal: No Solution
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,56 unequal: No Solution
Moving to Node #0,0,1
Current State: 56:[28, 25], Operations: ['98-66=32', '32-7=25']
Exploring Operation: 28+25=53, Resulting Numbers: [53]
53,56 unequal: No Solution
Exploring Operation: 28-25=3, Resulting Numbers: [3]
3,56 unequal: No Solution
Exploring Operation: 28*25=700, Resulting Numbers: [700]
700,56 unequal: No Solution
Moving to Node #0,0,3
Current State: 56:[7, 60], Operations: ['98-66=32', '28+32=60']
Exploring Operation: 7*60=420, Resulting Numbers: [420]
420,56 unequal: No Solution
Exploring Operation: 7+60=67, Resulting Numbers: [67]
67,56 unequal: No Solution
Exploring Operation: 60-7=53, Resulting Numbers: [53]
53,56 unequal: No Solution
Moving to Node #0,0,2
Current State: 56:[32, 4], Operations: ['98-66=32', '28/7=4']
Exploring Operation: 32+4=36, Resulting Numbers: [36]
36,56 unequal: No Solution
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,56 unequal: No Solution
Exploring Operation: 32*4=128, Resulting Numbers: [128]
128,56 unequal: No Solution
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 56:[66, 28, 14], Operations: ['98/7=14']
Exploring Operation: 66-28=38, Resulting Numbers: [14, 38]
Generated Node #0,3,0: 56:[14, 38] Operation: 66-28=38
Exploring Operation: 66-14=52, Resulting Numbers: [28, 52]
Generated Node #0,3,1: 56:[28, 52] Operation: 66-14=52
Exploring Operation: 28-14=14, Resulting Numbers: [66, 14]
Generated Node #0,3,2: 56:[66, 14] Operation: 28-14=14
Exploring Operation: 28/14=2, Resulting Numbers: [66, 2]
Generated Node #0,3,3: 56:[66, 2] Operation: 28/14=2
Moving to Node #0,3,1
Current State: 56:[28, 52], Operations: ['98/7=14', '66-14=52']
Exploring Operation: 28+52=80, Resulting Numbers: [80]
80,56 unequal: No Solution
Exploring Operation: 28*52=1456, Resulting Numbers: [1456]
1456,56 unequal: No Solution
Exploring Operation: 52-28=24, Resulting Numbers: [24]
24,56 unequal: No Solution
Moving to Node #0,3,2
Current State: 56:[66, 14], Operations: ['98/7=14', '28-14=14']
Exploring Operation: 66-14=52, Resulting Numbers: [52]
52,56 unequal: No Solution
Exploring Operation: 66*14=924, Resulting Numbers: [924]
924,56 unequal: No Solution
Exploring Operation: 66+14=80, Resulting Numbers: [80]
80,56 unequal: No Solution
Moving to Node #0,3,0
Current State: 56:[14, 38], Operations: ['98/7=14', '66-28=38']
Exploring Operation: 14+38=52, Resulting Numbers: [52]
52,56 unequal: No Solution
Exploring Operation: 14*38=532, Resulting Numbers: [532]
532,56 unequal: No Solution
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,56 unequal: No Solution
Moving to Node #0,3,3
Current State: 56:[66, 2], Operations: ['98/7=14', '28/14=2']
Exploring Operation: 66*2=132, Resulting Numbers: [132]
132,56 unequal: No Solution
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,56 unequal: No Solution
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,56 unequal: No Solution
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 56:[66, 7, 70], Operations: ['98-28=70']
Exploring Operation: 70/7=10, Resulting Numbers: [66, 10]
Generated Node #0,2,0: 56:[66, 10] Operation: 70/7=10
Exploring Operation: 66-7=59, Resulting Numbers: [70, 59]
Generated Node #0,2,1: 56:[70, 59] Operation: 66-7=59
Exploring Operation: 70-66=4, Resulting Numbers: [7, 4]
Generated Node #0,2,2: 56:[7, 4] Operation: 70-66=4
Exploring Operation: 70-7=63, Resulting Numbers: [66, 63]
Generated Node #0,2,3: 56:[66, 63] Operation: 70-7=63
Moving to Node #0,2,2
Current State: 56:[7, 4], Operations: ['98-28=70', '70-66=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,56 unequal: No Solution
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,56 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,56 unequal: No Solution
Moving to Node #0,2,0
Current State: 56:[66, 10], Operations: ['98-28=70', '70/7=10']
Exploring Operation: 66-10=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[98, 66, 7, 28], Operations: []
Exploring Operation: 98-28=70, Resulting Numbers: [66, 7, 70]
Generated Node #0,2: 56:[66, 7, 70] Operation: 98-28=70
Moving to Node #0,2
Current State: 56:[66, 7, 70], Operations: ['98-28=70']
Exploring Operation: 70/7=10, Resulting Numbers: [66, 10]
Generated Node #0,2,0: 56:[66, 10] Operation: 70/7=10
Moving to Node #0,2,0
Current State: 56:[66, 10], Operations: ['98-28=70', '70/7=10']
Exploring Operation: 66-10=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.956597 | hs_4 | mult_heuristic |
[
63,
53,
13,
91
] | 38 | [
"63+53=116",
"91-13=78",
"116-78=38"
] | Current State: 38:[63, 53, 13, 91], Operations: []
Exploring Operation: 63+53=116, Resulting Numbers: [13, 91, 116]
Generated Node #2: [13, 91, 116] from Operation: 63+53=116
Current State: 38:[13, 91, 116], Operations: ['63+53=116']
Exploring Operation: 91-13=78, Resulting Numbers: [116, 78]
Generated Node #3: [116, 78] from Operation: 91-13=78
Current State: 38:[116, 78], Operations: ['63+53=116', '91-13=78']
Exploring Operation: 116-78=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[63, 53, 13, 91], Operations: []
Exploring Operation: 91-63=28, Resulting Numbers: [53, 13, 28]
Generated Node #0,0: 38:[53, 13, 28] Operation: 91-63=28
Exploring Operation: 91-53=38, Resulting Numbers: [63, 13, 38]
Generated Node #0,1: 38:[63, 13, 38] Operation: 91-53=38
Exploring Operation: 91/13=7, Resulting Numbers: [63, 53, 7]
Generated Node #0,2: 38:[63, 53, 7] Operation: 91/13=7
Moving to Node #0,0
Current State: 38:[53, 13, 28], Operations: ['91-63=28']
Exploring Operation: 53-13=40, Resulting Numbers: [28, 40]
Generated Node #0,0,0: 38:[28, 40] Operation: 53-13=40
Exploring Operation: 53-28=25, Resulting Numbers: [13, 25]
Generated Node #0,0,1: 38:[13, 25] Operation: 53-28=25
Exploring Operation: 13+28=41, Resulting Numbers: [53, 41]
Generated Node #0,0,2: 38:[53, 41] Operation: 13+28=41
Moving to Node #0,1
Current State: 38:[63, 13, 38], Operations: ['91-53=38']
Exploring Operation: 38-13=25, Resulting Numbers: [63, 25]
Generated Node #0,1,0: 38:[63, 25] Operation: 38-13=25
Exploring Operation: 63-13=50, Resulting Numbers: [38, 50]
Generated Node #0,1,1: 38:[38, 50] Operation: 63-13=50
Exploring Operation: 63-38=25, Resulting Numbers: [13, 25]
Generated Node #0,1,2: 38:[13, 25] Operation: 63-38=25
Moving to Node #0,2
Current State: 38:[63, 53, 7], Operations: ['91/13=7']
Exploring Operation: 63-7=56, Resulting Numbers: [53, 56]
Generated Node #0,2,0: 38:[53, 56] Operation: 63-7=56
Exploring Operation: 63/7=9, Resulting Numbers: [53, 9]
Generated Node #0,2,1: 38:[53, 9] Operation: 63/7=9
Exploring Operation: 63-53=10, Resulting Numbers: [7, 10]
Generated Node #0,2,2: 38:[7, 10] Operation: 63-53=10
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 38:[7, 10], Operations: ['91/13=7', '63-53=10']
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,38 unequal: No Solution
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,38 unequal: No Solution
Exploring Operation: 7+10=17, Resulting Numbers: [17]
17,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 38:[53, 9], Operations: ['91/13=7', '63/7=9']
Exploring Operation: 53-9=44, Resulting Numbers: [44]
44,38 unequal: No Solution
Exploring Operation: 53+9=62, Resulting Numbers: [62]
62,38 unequal: No Solution
Exploring Operation: 53*9=477, Resulting Numbers: [477]
477,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 38:[53, 56], Operations: ['91/13=7', '63-7=56']
Exploring Operation: 53+56=109, Resulting Numbers: [109]
109,38 unequal: No Solution
Exploring Operation: 53*56=2968, Resulting Numbers: [2968]
2968,38 unequal: No Solution
Exploring Operation: 56-53=3, Resulting Numbers: [3]
3,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 38:[28, 40], Operations: ['91-63=28', '53-13=40']
Exploring Operation: 40-28=12, Resulting Numbers: [12]
12,38 unequal: No Solution
Exploring Operation: 28+40=68, Resulting Numbers: [68]
68,38 unequal: No Solution
Exploring Operation: 28*40=1120, Resulting Numbers: [1120]
1120,38 unequal: No Solution
Moving to Node #0,0,1
Current State: 38:[13, 25], Operations: ['91-63=28', '53-28=25']
Exploring Operation: 13+25=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[63, 53, 13, 91], Operations: []
Exploring Operation: 91-63=28, Resulting Numbers: [53, 13, 28]
Generated Node #0,0: 38:[53, 13, 28] Operation: 91-63=28
Moving to Node #0,0
Current State: 38:[53, 13, 28], Operations: ['91-63=28']
Exploring Operation: 53-28=25, Resulting Numbers: [13, 25]
Generated Node #0,0,1: 38:[13, 25] Operation: 53-28=25
Moving to Node #0,0,1
Current State: 38:[13, 25], Operations: ['91-63=28', '53-28=25']
Exploring Operation: 13+25=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 0.974826 | hs_3 | mult_heuristic |
[
33,
37,
72,
58
] | 18 | [
"37-33=4",
"72-58=14",
"4+14=18"
] | Current State: 18:[33, 37, 72, 58], Operations: []
Exploring Operation: 37-33=4, Resulting Numbers: [72, 58, 4]
Generated Node #2: [72, 58, 4] from Operation: 37-33=4
Current State: 18:[72, 58, 4], Operations: ['37-33=4']
Exploring Operation: 72-58=14, Resulting Numbers: [4, 14]
Generated Node #3: [4, 14] from Operation: 72-58=14
Current State: 18:[4, 14], Operations: ['37-33=4', '72-58=14']
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[33, 37, 72, 58], Operations: []
Exploring Operation: 72-58=14, Resulting Numbers: [33, 37, 14]
Generated Node #0,0: 18:[33, 37, 14] Operation: 72-58=14
Exploring Operation: 72-37=35, Resulting Numbers: [33, 58, 35]
Generated Node #0,1: 18:[33, 58, 35] Operation: 72-37=35
Exploring Operation: 58-37=21, Resulting Numbers: [33, 72, 21]
Generated Node #0,2: 18:[33, 72, 21] Operation: 58-37=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[33, 37, 14], Operations: ['72-58=14']
Exploring Operation: 33-14=19, Resulting Numbers: [37, 19]
Generated Node #0,0,0: 18:[37, 19] Operation: 33-14=19
Exploring Operation: 37-33=4, Resulting Numbers: [14, 4]
Generated Node #0,0,1: 18:[14, 4] Operation: 37-33=4
Exploring Operation: 37-14=23, Resulting Numbers: [33, 23]
Generated Node #0,0,2: 18:[33, 23] Operation: 37-14=23
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 18:[14, 4], Operations: ['72-58=14', '37-33=4']
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,18 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,18 unequal: No Solution
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[33, 37, 72, 58], Operations: []
Exploring Operation: 72-58=14, Resulting Numbers: [33, 37, 14]
Generated Node #0,0: 18:[33, 37, 14] Operation: 72-58=14
Moving to Node #0,0
Current State: 18:[33, 37, 14], Operations: ['72-58=14']
Exploring Operation: 37-33=4, Resulting Numbers: [14, 4]
Generated Node #0,0,1: 18:[14, 4] Operation: 37-33=4
Moving to Node #0,0,1
Current State: 18:[14, 4], Operations: ['72-58=14', '37-33=4']
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
49,
34,
63,
20
] | 40 | [
"49+34=83",
"63-20=43",
"83-43=40"
] | Current State: 40:[49, 34, 63, 20], Operations: []
Exploring Operation: 49+34=83, Resulting Numbers: [63, 20, 83]
Generated Node #2: [63, 20, 83] from Operation: 49+34=83
Current State: 40:[63, 20, 83], Operations: ['49+34=83']
Exploring Operation: 63-20=43, Resulting Numbers: [83, 43]
Generated Node #3: [83, 43] from Operation: 63-20=43
Current State: 40:[83, 43], Operations: ['49+34=83', '63-20=43']
Exploring Operation: 83-43=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[49, 34, 63, 20], Operations: []
Exploring Operation: 63-49=14, Resulting Numbers: [34, 20, 14]
Generated Node #0,0: 40:[34, 20, 14] Operation: 63-49=14
Moving to Node #0,0
Current State: 40:[34, 20, 14], Operations: ['63-49=14']
Exploring Operation: 34-14=20, Resulting Numbers: [20, 20]
Generated Node #0,0,0: 40:[20, 20] Operation: 34-14=20
Moving to Node #0,0,0
Current State: 40:[20, 20], Operations: ['63-49=14', '34-14=20']
Exploring Operation: 20+20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[49, 34, 63, 20], Operations: []
Exploring Operation: 63-49=14, Resulting Numbers: [34, 20, 14]
Generated Node #0,0: 40:[34, 20, 14] Operation: 63-49=14
Moving to Node #0,0
Current State: 40:[34, 20, 14], Operations: ['63-49=14']
Exploring Operation: 34-14=20, Resulting Numbers: [20, 20]
Generated Node #0,0,0: 40:[20, 20] Operation: 34-14=20
Moving to Node #0,0,0
Current State: 40:[20, 20], Operations: ['63-49=14', '34-14=20']
Exploring Operation: 20+20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
42,
86,
43,
65
] | 66 | [
"86-42=44",
"65-43=22",
"44+22=66"
] | Current State: 66:[42, 86, 43, 65], Operations: []
Exploring Operation: 86-42=44, Resulting Numbers: [43, 65, 44]
Generated Node #2: [43, 65, 44] from Operation: 86-42=44
Current State: 66:[43, 65, 44], Operations: ['86-42=44']
Exploring Operation: 65-43=22, Resulting Numbers: [44, 22]
Generated Node #3: [44, 22] from Operation: 65-43=22
Current State: 66:[44, 22], Operations: ['86-42=44', '65-43=22']
Exploring Operation: 44+22=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[42, 86, 43, 65], Operations: []
Exploring Operation: 86/43=2, Resulting Numbers: [42, 65, 2]
Generated Node #0,0: 66:[42, 65, 2] Operation: 86/43=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[42, 65, 2], Operations: ['86/43=2']
Exploring Operation: 65-42=23, Resulting Numbers: [2, 23]
Generated Node #0,0,0: 66:[2, 23] Operation: 65-42=23
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 66:[2, 23], Operations: ['86/43=2', '65-42=23']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,66 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 |
[
10,
85,
17,
21
] | 36 | [
"10+21=31",
"85/17=5",
"31+5=36"
] | Current State: 36:[10, 85, 17, 21], Operations: []
Exploring Operation: 10+21=31, Resulting Numbers: [85, 17, 31]
Generated Node #2: [85, 17, 31] from Operation: 10+21=31
Current State: 36:[85, 17, 31], Operations: ['10+21=31']
Exploring Operation: 85/17=5, Resulting Numbers: [31, 5]
Generated Node #3: [31, 5] from Operation: 85/17=5
Current State: 36:[31, 5], Operations: ['10+21=31', '85/17=5']
Exploring Operation: 31+5=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[10, 85, 17, 21], Operations: []
Exploring Operation: 21-17=4, Resulting Numbers: [10, 85, 4]
Generated Node #0,0: 36:[10, 85, 4] Operation: 21-17=4
Exploring Operation: 85-17=68, Resulting Numbers: [10, 21, 68]
Generated Node #0,1: 36:[10, 21, 68] Operation: 85-17=68
Exploring Operation: 85-10=75, Resulting Numbers: [17, 21, 75]
Generated Node #0,2: 36:[17, 21, 75] Operation: 85-10=75
Exploring Operation: 85/17=5, Resulting Numbers: [10, 21, 5]
Generated Node #0,3: 36:[10, 21, 5] Operation: 85/17=5
Exploring Operation: 85-21=64, Resulting Numbers: [10, 17, 64]
Generated Node #0,4: 36:[10, 17, 64] Operation: 85-21=64
Moving to Node #0,3
Current State: 36:[10, 21, 5], Operations: ['85/17=5']
Exploring Operation: 21-10=11, Resulting Numbers: [5, 11]
Generated Node #0,3,0: 36:[5, 11] Operation: 21-10=11
Exploring Operation: 10+21=31, Resulting Numbers: [5, 31]
Generated Node #0,3,1: 36:[5, 31] Operation: 10+21=31
Exploring Operation: 21-5=16, Resulting Numbers: [10, 16]
Generated Node #0,3,2: 36:[10, 16] Operation: 21-5=16
Exploring Operation: 10/5=2, Resulting Numbers: [21, 2]
Generated Node #0,3,3: 36:[21, 2] Operation: 10/5=2
Exploring Operation: 10-5=5, Resulting Numbers: [21, 5]
Generated Node #0,3,4: 36:[21, 5] Operation: 10-5=5
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 36:[5, 11], Operations: ['85/17=5', '21-10=11']
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,36 unequal: No Solution
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,36 unequal: No Solution
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 36:[10, 16], Operations: ['85/17=5', '21-5=16']
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,36 unequal: No Solution
Exploring Operation: 10*16=160, Resulting Numbers: [160]
160,36 unequal: No Solution
Exploring Operation: 10+16=26, Resulting Numbers: [26]
26,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 36:[21, 2], Operations: ['85/17=5', '10/5=2']
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,36 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,36 unequal: No Solution
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 36:[21, 5], Operations: ['85/17=5', '10-5=5']
Exploring Operation: 21*5=105, Resulting Numbers: [105]
105,36 unequal: No Solution
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,36 unequal: No Solution
Exploring Operation: 21+5=26, Resulting Numbers: [26]
26,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 36:[5, 31], Operations: ['85/17=5', '10+21=31']
Exploring Operation: 5+31=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[10, 85, 17, 21], Operations: []
Exploring Operation: 85/17=5, Resulting Numbers: [10, 21, 5]
Generated Node #0,3: 36:[10, 21, 5] Operation: 85/17=5
Moving to Node #0,3
Current State: 36:[10, 21, 5], Operations: ['85/17=5']
Exploring Operation: 10+21=31, Resulting Numbers: [5, 31]
Generated Node #0,3,1: 36:[5, 31] Operation: 10+21=31
Moving to Node #0,3,1
Current State: 36:[5, 31], Operations: ['85/17=5', '10+21=31']
Exploring Operation: 5+31=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_5 | sum_heuristic |
[
51,
95,
50,
60
] | 35 | [
"51-50=1",
"95-60=35",
"1*35=35"
] | Current State: 35:[51, 95, 50, 60], Operations: []
Exploring Operation: 51-50=1, Resulting Numbers: [95, 60, 1]
Generated Node #2: [95, 60, 1] from Operation: 51-50=1
Current State: 35:[95, 60, 1], Operations: ['51-50=1']
Exploring Operation: 95-60=35, Resulting Numbers: [1, 35]
Generated Node #3: [1, 35] from Operation: 95-60=35
Current State: 35:[1, 35], Operations: ['51-50=1', '95-60=35']
Exploring Operation: 1*35=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[51, 95, 50, 60], Operations: []
Exploring Operation: 95-60=35, Resulting Numbers: [51, 50, 35]
Generated Node #0,0: 35:[51, 50, 35] Operation: 95-60=35
Moving to Node #0,0
Current State: 35:[51, 50, 35], Operations: ['95-60=35']
Exploring Operation: 51-50=1, Resulting Numbers: [35, 1]
Generated Node #0,0,0: 35:[35, 1] Operation: 51-50=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 35:[35, 1], Operations: ['95-60=35', '51-50=1']
Exploring Operation: 35*1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[51, 95, 50, 60], Operations: []
Exploring Operation: 95-60=35, Resulting Numbers: [51, 50, 35]
Generated Node #0,0: 35:[51, 50, 35] Operation: 95-60=35
Moving to Node #0,0
Current State: 35:[51, 50, 35], Operations: ['95-60=35']
Exploring Operation: 51-50=1, Resulting Numbers: [35, 1]
Generated Node #0,0,0: 35:[35, 1] Operation: 51-50=1
Moving to Node #0,0,0
Current State: 35:[35, 1], Operations: ['95-60=35', '51-50=1']
Exploring Operation: 35*1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
50,
37,
35,
73
] | 48 | [
"37-35=2",
"50/2=25",
"73-25=48"
] | Current State: 48:[50, 37, 35, 73], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [50, 73, 2]
Generated Node #2: [50, 73, 2] from Operation: 37-35=2
Current State: 48:[50, 73, 2], Operations: ['37-35=2']
Exploring Operation: 50/2=25, Resulting Numbers: [73, 25]
Generated Node #3: [73, 25] from Operation: 50/2=25
Current State: 48:[73, 25], Operations: ['37-35=2', '50/2=25']
Exploring Operation: 73-25=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[50, 37, 35, 73], Operations: []
Exploring Operation: 73-50=23, Resulting Numbers: [37, 35, 23]
Generated Node #0,0: 48:[37, 35, 23] Operation: 73-50=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[37, 35, 23], Operations: ['73-50=23']
Exploring Operation: 37-35=2, Resulting Numbers: [23, 2]
Generated Node #0,0,0: 48:[23, 2] Operation: 37-35=2
Moving to Node #0,0,0
Current State: 48:[23, 2], Operations: ['73-50=23', '37-35=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
48,
28,
77,
9
] | 66 | [
"48-28=20",
"77+9=86",
"86-20=66"
] | Current State: 66:[48, 28, 77, 9], Operations: []
Exploring Operation: 48-28=20, Resulting Numbers: [77, 9, 20]
Generated Node #2: [77, 9, 20] from Operation: 48-28=20
Current State: 66:[77, 9, 20], Operations: ['48-28=20']
Exploring Operation: 77+9=86, Resulting Numbers: [20, 86]
Generated Node #3: [20, 86] from Operation: 77+9=86
Current State: 66:[20, 86], Operations: ['48-28=20', '77+9=86']
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[48, 28, 77, 9], Operations: []
Exploring Operation: 77-48=29, Resulting Numbers: [28, 9, 29]
Generated Node #0,0: 66:[28, 9, 29] Operation: 77-48=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[28, 9, 29], Operations: ['77-48=29']
Exploring Operation: 29-28=1, Resulting Numbers: [9, 1]
Generated Node #0,0,0: 66:[9, 1] Operation: 29-28=1
Moving to Node #0,0,0
Current State: 66:[9, 1], Operations: ['77-48=29', '29-28=1']
Exploring Operation: 9+1=10, Resulting Numbers: [10]
10,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
13,
9,
65,
39
] | 38 | [
"39/13=3",
"9*3=27",
"65-27=38"
] | Current State: 38:[13, 9, 65, 39], Operations: []
Exploring Operation: 39/13=3, Resulting Numbers: [9, 65, 3]
Generated Node #2: [9, 65, 3] from Operation: 39/13=3
Current State: 38:[9, 65, 3], Operations: ['39/13=3']
Exploring Operation: 9*3=27, Resulting Numbers: [65, 27]
Generated Node #3: [65, 27] from Operation: 9*3=27
Current State: 38:[65, 27], Operations: ['39/13=3', '9*3=27']
Exploring Operation: 65-27=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[13, 9, 65, 39], Operations: []
Exploring Operation: 65/13=5, Resulting Numbers: [9, 39, 5]
Generated Node #0,0: 38:[9, 39, 5] Operation: 65/13=5
Moving to Node #0,0
Current State: 38:[9, 39, 5], Operations: ['65/13=5']
Exploring Operation: 9-5=4, Resulting Numbers: [39, 4]
Generated Node #0,0,0: 38:[39, 4] Operation: 9-5=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 38:[39, 4], Operations: ['65/13=5', '9-5=4']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,38 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,
72,
75,
64
] | 50 | [
"75-72=3",
"42/3=14",
"64-14=50"
] | Current State: 50:[42, 72, 75, 64], Operations: []
Exploring Operation: 75-72=3, Resulting Numbers: [42, 64, 3]
Generated Node #2: [42, 64, 3] from Operation: 75-72=3
Current State: 50:[42, 64, 3], Operations: ['75-72=3']
Exploring Operation: 42/3=14, Resulting Numbers: [64, 14]
Generated Node #3: [64, 14] from Operation: 42/3=14
Current State: 50:[64, 14], Operations: ['75-72=3', '42/3=14']
Exploring Operation: 64-14=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[42, 72, 75, 64], Operations: []
Exploring Operation: 75-64=11, Resulting Numbers: [42, 72, 11]
Generated Node #0,0: 50:[42, 72, 11] Operation: 75-64=11
Exploring Operation: 75-72=3, Resulting Numbers: [42, 64, 3]
Generated Node #0,1: 50:[42, 64, 3] Operation: 75-72=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[42, 64, 3], Operations: ['75-72=3']
Exploring Operation: 64-42=22, Resulting Numbers: [3, 22]
Generated Node #0,1,0: 50:[3, 22] Operation: 64-42=22
Exploring Operation: 42/3=14, Resulting Numbers: [64, 14]
Generated Node #0,1,1: 50:[64, 14] Operation: 42/3=14
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 50:[3, 22], Operations: ['75-72=3', '64-42=22']
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,50 unequal: No Solution
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,50 unequal: No Solution
No 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: 50:[64, 14], Operations: ['75-72=3', '42/3=14']
Exploring Operation: 64-14=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[42, 72, 75, 64], Operations: []
Exploring Operation: 75-72=3, Resulting Numbers: [42, 64, 3]
Generated Node #0,1: 50:[42, 64, 3] Operation: 75-72=3
Moving to Node #0,1
Current State: 50:[42, 64, 3], Operations: ['75-72=3']
Exploring Operation: 42/3=14, Resulting Numbers: [64, 14]
Generated Node #0,1,1: 50:[64, 14] Operation: 42/3=14
Moving to Node #0,1,1
Current State: 50:[64, 14], Operations: ['75-72=3', '42/3=14']
Exploring Operation: 64-14=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
41,
27,
45,
70
] | 83 | [
"27*70=1890",
"1890/45=42",
"41+42=83"
] | Current State: 83:[41, 27, 45, 70], Operations: []
Exploring Operation: 27*70=1890, Resulting Numbers: [41, 45, 1890]
Generated Node #2: [41, 45, 1890] from Operation: 27*70=1890
Current State: 83:[41, 45, 1890], Operations: ['27*70=1890']
Exploring Operation: 1890/45=42, Resulting Numbers: [41, 42]
Generated Node #3: [41, 42] from Operation: 1890/45=42
Current State: 83:[41, 42], Operations: ['27*70=1890', '1890/45=42']
Exploring Operation: 41+42=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[41, 27, 45, 70], Operations: []
Exploring Operation: 27+45=72, Resulting Numbers: [41, 70, 72]
Generated Node #0,0: 83:[41, 70, 72] Operation: 27+45=72
Exploring Operation: 41+45=86, Resulting Numbers: [27, 70, 86]
Generated Node #0,1: 83:[27, 70, 86] Operation: 41+45=86
Exploring Operation: 27+70=97, Resulting Numbers: [41, 45, 97]
Generated Node #0,2: 83:[41, 45, 97] Operation: 27+70=97
Exploring Operation: 41+27=68, Resulting Numbers: [45, 70, 68]
Generated Node #0,3: 83:[45, 70, 68] Operation: 41+27=68
Moving to Node #0,0
Current State: 83:[41, 70, 72], Operations: ['27+45=72']
Exploring Operation: 70-41=29, Resulting Numbers: [72, 29]
Generated Node #0,0,0: 83:[72, 29] Operation: 70-41=29
Exploring Operation: 41+72=113, Resulting Numbers: [70, 113]
Generated Node #0,0,1: 83:[70, 113] Operation: 41+72=113
Exploring Operation: 41+70=111, Resulting Numbers: [72, 111]
Generated Node #0,0,2: 83:[72, 111] Operation: 41+70=111
Exploring Operation: 72-41=31, Resulting Numbers: [70, 31]
Generated Node #0,0,3: 83:[70, 31] Operation: 72-41=31
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 83:[72, 111], Operations: ['27+45=72', '41+70=111']
Exploring Operation: 72*111=7992, Resulting Numbers: [7992]
7992,83 unequal: No Solution
Exploring Operation: 72+111=183, Resulting Numbers: [183]
183,83 unequal: No Solution
Exploring Operation: 111-72=39, Resulting Numbers: [39]
39,83 unequal: No Solution
No 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: 83:[70, 113], Operations: ['27+45=72', '41+72=113']
Exploring Operation: 70+113=183, Resulting Numbers: [183]
183,83 unequal: No Solution
Exploring Operation: 70*113=7910, Resulting Numbers: [7910]
7910,83 unequal: No Solution
Exploring Operation: 113-70=43, Resulting Numbers: [43]
43,83 unequal: No Solution
No 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: 83:[72, 29], Operations: ['27+45=72', '70-41=29']
Exploring Operation: 72*29=2088, Resulting Numbers: [2088]
2088,83 unequal: No Solution
Exploring Operation: 72-29=43, Resulting Numbers: [43]
43,83 unequal: No Solution
Exploring Operation: 72+29=101, Resulting Numbers: [101]
101,83 unequal: No Solution
No 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: 83:[70, 31], Operations: ['27+45=72', '72-41=31']
Exploring Operation: 70+31=101, Resulting Numbers: [101]
101,83 unequal: No Solution
Exploring Operation: 70*31=2170, Resulting Numbers: [2170]
2170,83 unequal: No Solution
Exploring Operation: 70-31=39, Resulting Numbers: [39]
39,83 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: 83:[45, 70, 68], Operations: ['41+27=68']
Exploring Operation: 45+70=115, Resulting Numbers: [68, 115]
Generated Node #0,3,0: 83:[68, 115] Operation: 45+70=115
Exploring Operation: 68-45=23, Resulting Numbers: [70, 23]
Generated Node #0,3,1: 83:[70, 23] Operation: 68-45=23
Exploring Operation: 70-45=25, Resulting Numbers: [68, 25]
Generated Node #0,3,2: 83:[68, 25] Operation: 70-45=25
Exploring Operation: 45+68=113, Resulting Numbers: [70, 113]
Generated Node #0,3,3: 83:[70, 113] Operation: 45+68=113
Moving to Node #0,1
Current State: 83:[27, 70, 86], Operations: ['41+45=86']
Exploring Operation: 86-27=59, Resulting Numbers: [70, 59]
Generated Node #0,1,0: 83:[70, 59] Operation: 86-27=59
Exploring Operation: 27+86=113, Resulting Numbers: [70, 113]
Generated Node #0,1,1: 83:[70, 113] Operation: 27+86=113
Exploring Operation: 27+70=97, Resulting Numbers: [86, 97]
Generated Node #0,1,2: 83:[86, 97] Operation: 27+70=97
Exploring Operation: 70-27=43, Resulting Numbers: [86, 43]
Generated Node #0,1,3: 83:[86, 43] Operation: 70-27=43
Moving to Node #0,2
Current State: 83:[41, 45, 97], Operations: ['27+70=97']
Exploring Operation: 41+45=86, Resulting Numbers: [97, 86]
Generated Node #0,2,0: 83:[97, 86] Operation: 41+45=86
Exploring Operation: 97-45=52, Resulting Numbers: [41, 52]
Generated Node #0,2,1: 83:[41, 52] Operation: 97-45=52
Exploring Operation: 45-41=4, Resulting Numbers: [97, 4]
Generated Node #0,2,2: 83:[97, 4] Operation: 45-41=4
Exploring Operation: 97-41=56, Resulting Numbers: [45, 56]
Generated Node #0,2,3: 83:[45, 56] Operation: 97-41=56
Moving to Node #0,1,2
Current State: 83:[86, 97], Operations: ['41+45=86', '27+70=97']
Exploring Operation: 97-86=11, Resulting Numbers: [11]
11,83 unequal: No Solution
Exploring Operation: 86+97=183, Resulting Numbers: [183]
183,83 unequal: No Solution
Exploring Operation: 86*97=8342, Resulting Numbers: [8342]
8342,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[97, 86], Operations: ['27+70=97', '41+45=86']
Exploring Operation: 97-86=11, Resulting Numbers: [11]
11,83 unequal: No Solution
Exploring Operation: 97*86=8342, Resulting Numbers: [8342]
8342,83 unequal: No Solution
Exploring Operation: 97+86=183, Resulting Numbers: [183]
183,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[70, 59], Operations: ['41+45=86', '86-27=59']
Exploring Operation: 70-59=11, Resulting Numbers: [11]
11,83 unequal: No Solution
Exploring Operation: 70*59=4130, Resulting Numbers: [4130]
4130,83 unequal: No Solution
Exploring Operation: 70+59=129, Resulting Numbers: [129]
129,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[70, 113], Operations: ['41+45=86', '27+86=113']
Exploring Operation: 113-70=43, Resulting Numbers: [43]
43,83 unequal: No Solution
Exploring Operation: 70*113=7910, Resulting Numbers: [7910]
7910,83 unequal: No Solution
Exploring Operation: 70+113=183, Resulting Numbers: [183]
183,83 unequal: No Solution
Moving to Node #0,3,3
Current State: 83:[70, 113], Operations: ['41+27=68', '45+68=113']
Exploring Operation: 113-70=43, Resulting Numbers: [43]
43,83 unequal: No Solution
Exploring Operation: 70*113=7910, Resulting Numbers: [7910]
7910,83 unequal: No Solution
Exploring Operation: 70+113=183, Resulting Numbers: [183]
183,83 unequal: No Solution
Moving to Node #0,1,3
Current State: 83:[86, 43], Operations: ['41+45=86', '70-27=43']
Exploring Operation: 86-43=43, Resulting Numbers: [43]
43,83 unequal: No Solution
Exploring Operation: 86/43=2, Resulting Numbers: [2]
2,83 unequal: No Solution
Exploring Operation: 86+43=129, Resulting Numbers: [129]
129,83 unequal: No Solution
Exploring Operation: 86*43=3698, Resulting Numbers: [3698]
3698,83 unequal: No Solution
Moving to Node #0,3,0
Current State: 83:[68, 115], Operations: ['41+27=68', '45+70=115']
Exploring Operation: 115-68=47, Resulting Numbers: [47]
47,83 unequal: No Solution
Exploring Operation: 68*115=7820, Resulting Numbers: [7820]
7820,83 unequal: No Solution
Exploring Operation: 68+115=183, Resulting Numbers: [183]
183,83 unequal: No Solution
Moving to Node #0,2,3
Current State: 83:[45, 56], Operations: ['27+70=97', '97-41=56']
Exploring Operation: 45+56=101, Resulting Numbers: [101]
101,83 unequal: No Solution
Exploring Operation: 56-45=11, Resulting Numbers: [11]
11,83 unequal: No Solution
Exploring Operation: 45*56=2520, Resulting Numbers: [2520]
2520,83 unequal: No Solution
Moving to Node #0,3,1
Current State: 83:[70, 23], Operations: ['41+27=68', '68-45=23']
Exploring Operation: 70*23=1610, Resulting Numbers: [1610]
1610,83 unequal: No Solution
Exploring Operation: 70-23=47, Resulting Numbers: [47]
47,83 unequal: No Solution
Exploring Operation: 70+23=93, Resulting Numbers: [93]
93,83 unequal: No Solution
Moving to Node #0,3,2
Current State: 83:[68, 25], Operations: ['41+27=68', '70-45=25']
Exploring Operation: 68-25=43, Resulting Numbers: [43]
43,83 unequal: No Solution
Exploring Operation: 68+25=93, Resulting Numbers: [93]
93,83 unequal: No Solution
Exploring Operation: 68*25=1700, Resulting Numbers: [1700]
1700,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[41, 52], Operations: ['27+70=97', '97-45=52']
Exploring Operation: 41+52=93, Resulting Numbers: [93]
93,83 unequal: No Solution
Exploring Operation: 52-41=11, Resulting Numbers: [11]
11,83 unequal: No Solution
Exploring Operation: 41*52=2132, Resulting Numbers: [2132]
2132,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[97, 4], Operations: ['27+70=97', '45-41=4']
Exploring Operation: 97+4=101, Resulting Numbers: [101]
101,83 unequal: No Solution
Exploring Operation: 97*4=388, Resulting Numbers: [388]
388,83 unequal: No Solution
Exploring Operation: 97-4=93, Resulting Numbers: [93]
93,83 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
5,
77,
24,
32
] | 80 | [
"77-5=72",
"32-24=8",
"72+8=80"
] | Current State: 80:[5, 77, 24, 32], Operations: []
Exploring Operation: 77-5=72, Resulting Numbers: [24, 32, 72]
Generated Node #2: [24, 32, 72] from Operation: 77-5=72
Current State: 80:[24, 32, 72], Operations: ['77-5=72']
Exploring Operation: 32-24=8, Resulting Numbers: [72, 8]
Generated Node #3: [72, 8] from Operation: 32-24=8
Current State: 80:[72, 8], Operations: ['77-5=72', '32-24=8']
Exploring Operation: 72+8=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[5, 77, 24, 32], Operations: []
Exploring Operation: 32-24=8, Resulting Numbers: [5, 77, 8]
Generated Node #0,0: 80:[5, 77, 8] Operation: 32-24=8
Exploring Operation: 77-32=45, Resulting Numbers: [5, 24, 45]
Generated Node #0,1: 80:[5, 24, 45] Operation: 77-32=45
Moving to Node #0,0
Current State: 80:[5, 77, 8], Operations: ['32-24=8']
Exploring Operation: 5+77=82, Resulting Numbers: [8, 82]
Generated Node #0,0,0: 80:[8, 82] Operation: 5+77=82
Exploring Operation: 5*8=40, Resulting Numbers: [77, 40]
Generated Node #0,0,1: 80:[77, 40] Operation: 5*8=40
Moving to Node #0,1
Current State: 80:[5, 24, 45], Operations: ['77-32=45']
Exploring Operation: 45-24=21, Resulting Numbers: [5, 21]
Generated Node #0,1,0: 80:[5, 21] Operation: 45-24=21
Exploring Operation: 45-5=40, Resulting Numbers: [24, 40]
Generated Node #0,1,1: 80:[24, 40] Operation: 45-5=40
Moving to Node #0,1,0
Current State: 80:[5, 21], Operations: ['77-32=45', '45-24=21']
Exploring Operation: 5+21=26, Resulting Numbers: [26]
26,80 unequal: No Solution
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,80 unequal: No Solution
Moving to Node #0,0,0
Current State: 80:[8, 82], Operations: ['32-24=8', '5+77=82']
Exploring Operation: 82-8=74, Resulting Numbers: [74]
74,80 unequal: No Solution
Exploring Operation: 8+82=90, Resulting Numbers: [90]
90,80 unequal: No Solution
Moving to Node #0,0,1
Current State: 80:[77, 40], Operations: ['32-24=8', '5*8=40']
Exploring Operation: 77-40=37, Resulting Numbers: [37]
37,80 unequal: No Solution
Exploring Operation: 77+40=117, Resulting Numbers: [117]
117,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[24, 40], Operations: ['77-32=45', '45-5=40']
Exploring Operation: 24+40=64, Resulting Numbers: [64]
64,80 unequal: No Solution
Exploring Operation: 40-24=16, Resulting Numbers: [16]
16,80 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
63,
84,
42,
70
] | 72 | [
"84-63=21",
"42/21=2",
"70+2=72"
] | Current State: 72:[63, 84, 42, 70], Operations: []
Exploring Operation: 84-63=21, Resulting Numbers: [42, 70, 21]
Generated Node #2: [42, 70, 21] from Operation: 84-63=21
Current State: 72:[42, 70, 21], Operations: ['84-63=21']
Exploring Operation: 42/21=2, Resulting Numbers: [70, 2]
Generated Node #3: [70, 2] from Operation: 42/21=2
Current State: 72:[70, 2], Operations: ['84-63=21', '42/21=2']
Exploring Operation: 70+2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[63, 84, 42, 70], Operations: []
Exploring Operation: 84-63=21, Resulting Numbers: [42, 70, 21]
Generated Node #0,0: 72:[42, 70, 21] Operation: 84-63=21
Exploring Operation: 84/42=2, Resulting Numbers: [63, 70, 2]
Generated Node #0,1: 72:[63, 70, 2] Operation: 84/42=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[42, 70, 21], Operations: ['84-63=21']
Exploring Operation: 42/21=2, Resulting Numbers: [70, 2]
Generated Node #0,0,0: 72:[70, 2] Operation: 42/21=2
Exploring Operation: 42-21=21, Resulting Numbers: [70, 21]
Generated Node #0,0,1: 72:[70, 21] Operation: 42-21=21
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 72:[70, 2], Operations: ['84-63=21', '42/21=2']
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,72 unequal: No Solution
Exploring Operation: 70+2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[63, 84, 42, 70], Operations: []
Exploring Operation: 84-63=21, Resulting Numbers: [42, 70, 21]
Generated Node #0,0: 72:[42, 70, 21] Operation: 84-63=21
Moving to Node #0,0
Current State: 72:[42, 70, 21], Operations: ['84-63=21']
Exploring Operation: 42/21=2, Resulting Numbers: [70, 2]
Generated Node #0,0,0: 72:[70, 2] Operation: 42/21=2
Moving to Node #0,0,0
Current State: 72:[70, 2], Operations: ['84-63=21', '42/21=2']
Exploring Operation: 70+2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
50,
37,
20,
20
] | 86 | [
"50+37=87",
"20/20=1",
"87-1=86"
] | Current State: 86:[50, 37, 20, 20], Operations: []
Exploring Operation: 50+37=87, Resulting Numbers: [20, 20, 87]
Generated Node #2: [20, 20, 87] from Operation: 50+37=87
Current State: 86:[20, 20, 87], Operations: ['50+37=87']
Exploring Operation: 20/20=1, Resulting Numbers: [87, 1]
Generated Node #3: [87, 1] from Operation: 20/20=1
Current State: 86:[87, 1], Operations: ['50+37=87', '20/20=1']
Exploring Operation: 87-1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[50, 37, 20, 20], Operations: []
Exploring Operation: 20+20=40, Resulting Numbers: [50, 37, 40]
Generated Node #0,0: 86:[50, 37, 40] Operation: 20+20=40
Exploring Operation: 20/20=1, Resulting Numbers: [50, 37, 1]
Generated Node #0,1: 86:[50, 37, 1] Operation: 20/20=1
Exploring Operation: 20-20=0, Resulting Numbers: [50, 37, 0]
Generated Node #0,2: 86:[50, 37, 0] Operation: 20-20=0
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[50, 37, 1], Operations: ['20/20=1']
Exploring Operation: 50+37=87, Resulting Numbers: [1, 87]
Generated Node #0,1,0: 86:[1, 87] Operation: 50+37=87
Exploring Operation: 50-37=13, Resulting Numbers: [1, 13]
Generated Node #0,1,1: 86:[1, 13] Operation: 50-37=13
Exploring Operation: 50-1=49, Resulting Numbers: [37, 49]
Generated Node #0,1,2: 86:[37, 49] Operation: 50-1=49
Moving to Node #0,1,0
Current State: 86:[1, 87], Operations: ['20/20=1', '50+37=87']
Exploring Operation: 1*87=87, Resulting Numbers: [87]
87,86 unequal: No Solution
Exploring Operation: 87-1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[50, 37, 20, 20], Operations: []
Exploring Operation: 20/20=1, Resulting Numbers: [50, 37, 1]
Generated Node #0,1: 86:[50, 37, 1] Operation: 20/20=1
Moving to Node #0,1
Current State: 86:[50, 37, 1], Operations: ['20/20=1']
Exploring Operation: 50+37=87, Resulting Numbers: [1, 87]
Generated Node #0,1,0: 86:[1, 87] Operation: 50+37=87
Moving to Node #0,1,0
Current State: 86:[1, 87], Operations: ['20/20=1', '50+37=87']
Exploring Operation: 87-1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
22,
32,
4,
54
] | 84 | [
"22+54=76",
"32/4=8",
"76+8=84"
] | Current State: 84:[22, 32, 4, 54], Operations: []
Exploring Operation: 22+54=76, Resulting Numbers: [32, 4, 76]
Generated Node #2: [32, 4, 76] from Operation: 22+54=76
Current State: 84:[32, 4, 76], Operations: ['22+54=76']
Exploring Operation: 32/4=8, Resulting Numbers: [76, 8]
Generated Node #3: [76, 8] from Operation: 32/4=8
Current State: 84:[76, 8], Operations: ['22+54=76', '32/4=8']
Exploring Operation: 76+8=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[22, 32, 4, 54], Operations: []
Exploring Operation: 54-32=22, Resulting Numbers: [22, 4, 22]
Generated Node #0,0: 84:[22, 4, 22] Operation: 54-32=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[22, 4, 22], Operations: ['54-32=22']
Exploring Operation: 22/22=1, Resulting Numbers: [4, 1]
Generated Node #0,0,0: 84:[4, 1] Operation: 22/22=1
Moving to Node #0,0,0
Current State: 84:[4, 1], Operations: ['54-32=22', '22/22=1']
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,84 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 |
[
80,
26,
54,
50
] | 58 | [
"80-26=54",
"54-50=4",
"54+4=58"
] | Current State: 58:[80, 26, 54, 50], Operations: []
Exploring Operation: 80-26=54, Resulting Numbers: [54, 50, 54]
Generated Node #2: [54, 50, 54] from Operation: 80-26=54
Current State: 58:[54, 50, 54], Operations: ['80-26=54']
Exploring Operation: 54-50=4, Resulting Numbers: [4]
4,58 equal: Goal Reached
Exploring Operation: 54+4=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[80, 26, 54, 50], Operations: []
Exploring Operation: 80-50=30, Resulting Numbers: [26, 54, 30]
Generated Node #0,0: 58:[26, 54, 30] Operation: 80-50=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[26, 54, 30], Operations: ['80-50=30']
Exploring Operation: 54-26=28, Resulting Numbers: [30, 28]
Generated Node #0,0,0: 58:[30, 28] Operation: 54-26=28
Moving to Node #0,0,0
Current State: 58:[30, 28], Operations: ['80-50=30', '54-26=28']
Exploring Operation: 30+28=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[80, 26, 54, 50], Operations: []
Exploring Operation: 80-50=30, Resulting Numbers: [26, 54, 30]
Generated Node #0,0: 58:[26, 54, 30] Operation: 80-50=30
Moving to Node #0,0
Current State: 58:[26, 54, 30], Operations: ['80-50=30']
Exploring Operation: 54-26=28, Resulting Numbers: [30, 28]
Generated Node #0,0,0: 58:[30, 28] Operation: 54-26=28
Moving to Node #0,0,0
Current State: 58:[30, 28], Operations: ['80-50=30', '54-26=28']
Exploring Operation: 30+28=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
4,
19,
91,
2
] | 17 | [
"4*19=76",
"91+2=93",
"93-76=17"
] | Current State: 17:[4, 19, 91, 2], Operations: []
Exploring Operation: 4*19=76, Resulting Numbers: [91, 2, 76]
Generated Node #2: [91, 2, 76] from Operation: 4*19=76
Current State: 17:[91, 2, 76], Operations: ['4*19=76']
Exploring Operation: 91+2=93, Resulting Numbers: [76, 93]
Generated Node #3: [76, 93] from Operation: 91+2=93
Current State: 17:[76, 93], Operations: ['4*19=76', '91+2=93']
Exploring Operation: 93-76=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[4, 19, 91, 2], Operations: []
Exploring Operation: 4+2=6, Resulting Numbers: [19, 91, 6]
Generated Node #0,0: 17:[19, 91, 6] Operation: 4+2=6
Exploring Operation: 4*2=8, Resulting Numbers: [19, 91, 8]
Generated Node #0,1: 17:[19, 91, 8] Operation: 4*2=8
Exploring Operation: 91-4=87, Resulting Numbers: [19, 2, 87]
Generated Node #0,2: 17:[19, 2, 87] Operation: 91-4=87
Exploring Operation: 19-2=17, Resulting Numbers: [4, 91, 17]
Generated Node #0,3: 17:[4, 91, 17] Operation: 19-2=17
Exploring Operation: 91-19=72, Resulting Numbers: [4, 2, 72]
Generated Node #0,4: 17:[4, 2, 72] Operation: 91-19=72
Start Sub Search at level 1: Moving to Node #0,4
Current State: 17:[4, 2, 72], Operations: ['91-19=72']
Exploring Operation: 72-4=68, Resulting Numbers: [2, 68]
Generated Node #0,4,0: 17:[2, 68] Operation: 72-4=68
Exploring Operation: 72/4=18, Resulting Numbers: [2, 18]
Generated Node #0,4,1: 17:[2, 18] Operation: 72/4=18
Exploring Operation: 4+2=6, Resulting Numbers: [72, 6]
Generated Node #0,4,2: 17:[72, 6] Operation: 4+2=6
Exploring Operation: 4*2=8, Resulting Numbers: [72, 8]
Generated Node #0,4,3: 17:[72, 8] Operation: 4*2=8
Exploring Operation: 72/2=36, Resulting Numbers: [4, 36]
Generated Node #0,4,4: 17:[4, 36] Operation: 72/2=36
Moving to Node #0,4,1
Current State: 17:[2, 18], Operations: ['91-19=72', '72/4=18']
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,17 unequal: No Solution
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,17 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,17 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Moving to Node #0,4,4
Current State: 17:[4, 36], Operations: ['91-19=72', '72/2=36']
Exploring Operation: 4+36=40, Resulting Numbers: [40]
40,17 unequal: No Solution
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,17 unequal: No Solution
Exploring Operation: 4*36=144, Resulting Numbers: [144]
144,17 unequal: No Solution
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,17 unequal: No Solution
Moving to Node #0,4,3
Current State: 17:[72, 8], Operations: ['91-19=72', '4*2=8']
Exploring Operation: 72*8=576, Resulting Numbers: [576]
576,17 unequal: No Solution
Exploring Operation: 72/8=9, Resulting Numbers: [9]
9,17 unequal: No Solution
Exploring Operation: 72-8=64, Resulting Numbers: [64]
64,17 unequal: No Solution
Exploring Operation: 72+8=80, Resulting Numbers: [80]
80,17 unequal: No Solution
Moving to Node #0,4,0
Current State: 17:[2, 68], Operations: ['91-19=72', '72-4=68']
Exploring Operation: 68-2=66, Resulting Numbers: [66]
66,17 unequal: No Solution
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,17 unequal: No Solution
Exploring Operation: 2*68=136, Resulting Numbers: [136]
136,17 unequal: No Solution
Exploring Operation: 2+68=70, Resulting Numbers: [70]
70,17 unequal: No Solution
Moving to Node #0,4,2
Current State: 17:[72, 6], Operations: ['91-19=72', '4+2=6']
Exploring Operation: 72/6=12, Resulting Numbers: [12]
12,17 unequal: No Solution
Exploring Operation: 72*6=432, Resulting Numbers: [432]
432,17 unequal: No Solution
Exploring Operation: 72+6=78, Resulting Numbers: [78]
78,17 unequal: No Solution
Exploring Operation: 72-6=66, Resulting Numbers: [66]
66,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 17:[19, 91, 8], Operations: ['4*2=8']
Exploring Operation: 19+8=27, Resulting Numbers: [91, 27]
Generated Node #0,1,0: 17:[91, 27] Operation: 19+8=27
Exploring Operation: 91-8=83, Resulting Numbers: [19, 83]
Generated Node #0,1,1: 17:[19, 83] Operation: 91-8=83
Exploring Operation: 91-19=72, Resulting Numbers: [8, 72]
Generated Node #0,1,2: 17:[8, 72] Operation: 91-19=72
Exploring Operation: 19-8=11, Resulting Numbers: [91, 11]
Generated Node #0,1,3: 17:[91, 11] Operation: 19-8=11
Exploring Operation: 91+8=99, Resulting Numbers: [19, 99]
Generated Node #0,1,4: 17:[19, 99] Operation: 91+8=99
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 17:[8, 72], Operations: ['4*2=8', '91-19=72']
Exploring Operation: 8+72=80, Resulting Numbers: [80]
80,17 unequal: No Solution
Exploring Operation: 72-8=64, Resulting Numbers: [64]
64,17 unequal: No Solution
Exploring Operation: 72/8=9, Resulting Numbers: [9]
9,17 unequal: No Solution
Exploring Operation: 8*72=576, Resulting Numbers: [576]
576,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 17:[19, 83], Operations: ['4*2=8', '91-8=83']
Exploring Operation: 19+83=102, Resulting Numbers: [102]
102,17 unequal: No Solution
Exploring Operation: 83-19=64, Resulting Numbers: [64]
64,17 unequal: No Solution
Exploring Operation: 19*83=1577, Resulting Numbers: [1577]
1577,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 17:[91, 11], Operations: ['4*2=8', '19-8=11']
Exploring Operation: 91*11=1001, Resulting Numbers: [1001]
1001,17 unequal: No Solution
Exploring Operation: 91+11=102, Resulting Numbers: [102]
102,17 unequal: No Solution
Exploring Operation: 91-11=80, Resulting Numbers: [80]
80,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 17:[91, 27], Operations: ['4*2=8', '19+8=27']
Exploring Operation: 91-27=64, Resulting Numbers: [64]
64,17 unequal: No Solution
Exploring Operation: 91*27=2457, Resulting Numbers: [2457]
2457,17 unequal: No Solution
Exploring Operation: 91+27=118, Resulting Numbers: [118]
118,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 17:[19, 99], Operations: ['4*2=8', '91+8=99']
Exploring Operation: 19*99=1881, Resulting Numbers: [1881]
1881,17 unequal: No Solution
Exploring Operation: 19+99=118, Resulting Numbers: [118]
118,17 unequal: No Solution
Exploring Operation: 99-19=80, Resulting Numbers: [80]
80,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[19, 91, 6], Operations: ['4+2=6']
Exploring Operation: 91-19=72, Resulting Numbers: [6, 72]
Generated Node #0,0,0: 17:[6, 72] Operation: 91-19=72
Exploring Operation: 19+6=25, Resulting Numbers: [91, 25]
Generated Node #0,0,1: 17:[91, 25] Operation: 19+6=25
Exploring Operation: 91-6=85, Resulting Numbers: [19, 85]
Generated Node #0,0,2: 17:[19, 85] Operation: 91-6=85
Exploring Operation: 19-6=13, Resulting Numbers: [91, 13]
Generated Node #0,0,3: 17:[91, 13] Operation: 19-6=13
Exploring Operation: 91+6=97, Resulting Numbers: [19, 97]
Generated Node #0,0,4: 17:[19, 97] Operation: 91+6=97
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 17:[6, 72], Operations: ['4+2=6', '91-19=72']
Exploring Operation: 72/6=12, Resulting Numbers: [12]
12,17 unequal: No Solution
Exploring Operation: 6*72=432, Resulting Numbers: [432]
432,17 unequal: No Solution
Exploring Operation: 72-6=66, Resulting Numbers: [66]
66,17 unequal: No Solution
Exploring Operation: 6+72=78, Resulting Numbers: [78]
78,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 17:[19, 85], Operations: ['4+2=6', '91-6=85']
Exploring Operation: 85-19=66, Resulting Numbers: [66]
66,17 unequal: No Solution
Exploring Operation: 19+85=104, Resulting Numbers: [104]
104,17 unequal: No Solution
Exploring Operation: 19*85=1615, Resulting Numbers: [1615]
1615,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 17:[91, 13], Operations: ['4+2=6', '19-6=13']
Exploring Operation: 91*13=1183, Resulting Numbers: [1183]
1183,17 unequal: No Solution
Exploring Operation: 91/13=7, Resulting Numbers: [7]
7,17 unequal: No Solution
Exploring Operation: 91+13=104, Resulting Numbers: [104]
104,17 unequal: No Solution
Exploring Operation: 91-13=78, Resulting Numbers: [78]
78,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 17:[91, 25], Operations: ['4+2=6', '19+6=25']
Exploring Operation: 91*25=2275, Resulting Numbers: [2275]
2275,17 unequal: No Solution
Exploring Operation: 91+25=116, Resulting Numbers: [116]
116,17 unequal: No Solution
Exploring Operation: 91-25=66, Resulting Numbers: [66]
66,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 17:[19, 97], Operations: ['4+2=6', '91+6=97']
Exploring Operation: 97-19=78, Resulting Numbers: [78]
78,17 unequal: No Solution
Exploring Operation: 19*97=1843, Resulting Numbers: [1843]
1843,17 unequal: No Solution
Exploring Operation: 19+97=116, Resulting Numbers: [116]
116,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 17:[19, 2, 87], Operations: ['91-4=87']
Exploring Operation: 2+87=89, Resulting Numbers: [19, 89]
Generated Node #0,2,0: 17:[19, 89] Operation: 2+87=89
Exploring Operation: 19-2=17, Resulting Numbers: [87, 17]
Generated Node #0,2,1: 17:[87, 17] Operation: 19-2=17
Exploring Operation: 87-2=85, Resulting Numbers: [19, 85]
Generated Node #0,2,2: 17:[19, 85] Operation: 87-2=85
Exploring Operation: 19+2=21, Resulting Numbers: [87, 21]
Generated Node #0,2,3: 17:[87, 21] Operation: 19+2=21
Exploring Operation: 87-19=68, Resulting Numbers: [2, 68]
Generated Node #0,2,4: 17:[2, 68] Operation: 87-19=68
Moving to Node #0,2,4
Current State: 17:[2, 68], Operations: ['91-4=87', '87-19=68']
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,17 unequal: No Solution
Exploring Operation: 2*68=136, Resulting Numbers: [136]
136,17 unequal: No Solution
Exploring Operation: 68-2=66, Resulting Numbers: [66]
66,17 unequal: No Solution
Exploring Operation: 2+68=70, Resulting Numbers: [70]
70,17 unequal: No Solution
Moving to Node #0,2,2
Current State: 17:[19, 85], Operations: ['91-4=87', '87-2=85']
Exploring Operation: 19*85=1615, Resulting Numbers: [1615]
1615,17 unequal: No Solution
Exploring Operation: 19+85=104, Resulting Numbers: [104]
104,17 unequal: No Solution
Exploring Operation: 85-19=66, Resulting Numbers: [66]
66,17 unequal: No Solution
Moving to Node #0,2,1
Current State: 17:[87, 17], Operations: ['91-4=87', '19-2=17']
Exploring Operation: 87-17=70, Resulting Numbers: [70]
70,17 unequal: No Solution
Exploring Operation: 87+17=104, Resulting Numbers: [104]
104,17 unequal: No Solution
Exploring Operation: 87*17=1479, Resulting Numbers: [1479]
1479,17 unequal: No Solution
Moving to Node #0,2,0
Current State: 17:[19, 89], Operations: ['91-4=87', '2+87=89']
Exploring Operation: 89-19=70, Resulting Numbers: [70]
70,17 unequal: No Solution
Exploring Operation: 19+89=108, Resulting Numbers: [108]
108,17 unequal: No Solution
Exploring Operation: 19*89=1691, Resulting Numbers: [1691]
1691,17 unequal: No Solution
Moving to Node #0,2,3
Current State: 17:[87, 21], Operations: ['91-4=87', '19+2=21']
Exploring Operation: 87*21=1827, Resulting Numbers: [1827]
1827,17 unequal: No Solution
Exploring Operation: 87+21=108, Resulting Numbers: [108]
108,17 unequal: No Solution
Exploring Operation: 87-21=66, Resulting Numbers: [66]
66,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 17:[4, 91, 17], Operations: ['19-2=17']
Exploring Operation: 4+17=21, Resulting Numbers: [91, 21]
Generated Node #0,3,0: 17:[91, 21] Operation: 4+17=21
Exploring Operation: 91-17=74, Resulting Numbers: [4, 74]
Generated Node #0,3,1: 17:[4, 74] Operation: 91-17=74
Exploring Operation: 4+91=95, Resulting Numbers: [17, 95]
Generated Node #0,3,2: 17:[17, 95] Operation: 4+91=95
Exploring Operation: 17-4=13, Resulting Numbers: [91, 13]
Generated Node #0,3,3: 17:[91, 13] Operation: 17-4=13
Exploring Operation: 91-4=87, Resulting Numbers: [17, 87]
Generated Node #0,3,4: 17:[17, 87] Operation: 91-4=87
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 17:[4, 74], Operations: ['19-2=17', '91-17=74']
Exploring Operation: 74-4=70, Resulting Numbers: [70]
70,17 unequal: No Solution
Exploring Operation: 4*74=296, Resulting Numbers: [296]
296,17 unequal: No Solution
Exploring Operation: 4+74=78, Resulting Numbers: [78]
78,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 17:[17, 87], Operations: ['19-2=17', '91-4=87']
Exploring Operation: 87-17=70, Resulting Numbers: [70]
70,17 unequal: No Solution
Exploring Operation: 17+87=104, Resulting Numbers: [104]
104,17 unequal: No Solution
Exploring Operation: 17*87=1479, Resulting Numbers: [1479]
1479,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 17:[91, 21], Operations: ['19-2=17', '4+17=21']
Exploring Operation: 91+21=112, Resulting Numbers: [112]
112,17 unequal: No Solution
Exploring Operation: 91-21=70, Resulting Numbers: [70]
70,17 unequal: No Solution
Exploring Operation: 91*21=1911, Resulting Numbers: [1911]
1911,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 17:[17, 95], Operations: ['19-2=17', '4+91=95']
Exploring Operation: 95-17=78, Resulting Numbers: [78]
78,17 unequal: No Solution
Exploring Operation: 17+95=112, Resulting Numbers: [112]
112,17 unequal: No Solution
Exploring Operation: 17*95=1615, Resulting Numbers: [1615]
1615,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 17:[91, 13], Operations: ['19-2=17', '17-4=13']
Exploring Operation: 91+13=104, Resulting Numbers: [104]
104,17 unequal: No Solution
Exploring Operation: 91*13=1183, Resulting Numbers: [1183]
1183,17 unequal: No Solution
Exploring Operation: 91-13=78, Resulting Numbers: [78]
78,17 unequal: No Solution
Exploring Operation: 91/13=7, Resulting Numbers: [7]
7,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
10,
30,
21,
40
] | 38 | [
"21*40=840",
"840/30=28",
"10+28=38"
] | Current State: 38:[10, 30, 21, 40], Operations: []
Exploring Operation: 21*40=840, Resulting Numbers: [10, 30, 840]
Generated Node #2: [10, 30, 840] from Operation: 21*40=840
Current State: 38:[10, 30, 840], Operations: ['21*40=840']
Exploring Operation: 840/30=28, Resulting Numbers: [10, 28]
Generated Node #3: [10, 28] from Operation: 840/30=28
Current State: 38:[10, 28], Operations: ['21*40=840', '840/30=28']
Exploring Operation: 10+28=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[10, 30, 21, 40], Operations: []
Exploring Operation: 30/10=3, Resulting Numbers: [21, 40, 3]
Generated Node #0,0: 38:[21, 40, 3] Operation: 30/10=3
Exploring Operation: 10+30=40, Resulting Numbers: [21, 40, 40]
Generated Node #0,1: 38:[21, 40, 40] Operation: 10+30=40
Exploring Operation: 30-10=20, Resulting Numbers: [21, 40, 20]
Generated Node #0,2: 38:[21, 40, 20] Operation: 30-10=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[21, 40, 3], Operations: ['30/10=3']
Exploring Operation: 40-21=19, Resulting Numbers: [3, 19]
Generated Node #0,0,0: 38:[3, 19] Operation: 40-21=19
Exploring Operation: 21-3=18, Resulting Numbers: [40, 18]
Generated Node #0,0,1: 38:[40, 18] Operation: 21-3=18
Exploring Operation: 40-3=37, Resulting Numbers: [21, 37]
Generated Node #0,0,2: 38:[21, 37] Operation: 40-3=37
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 38:[3, 19], Operations: ['30/10=3', '40-21=19']
Exploring Operation: 3*19=57, Resulting Numbers: [57]
57,38 unequal: No Solution
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,38 unequal: No Solution
Exploring Operation: 3+19=22, Resulting Numbers: [22]
22,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 38:[40, 18], Operations: ['30/10=3', '21-3=18']
Exploring Operation: 40*18=720, Resulting Numbers: [720]
720,38 unequal: No Solution
Exploring Operation: 40+18=58, Resulting Numbers: [58]
58,38 unequal: No Solution
Exploring Operation: 40-18=22, Resulting Numbers: [22]
22,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 38:[21, 37], Operations: ['30/10=3', '40-3=37']
Exploring Operation: 21*37=777, Resulting Numbers: [777]
777,38 unequal: No Solution
Exploring Operation: 37-21=16, Resulting Numbers: [16]
16,38 unequal: No Solution
Exploring Operation: 21+37=58, Resulting Numbers: [58]
58,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 38:[21, 40, 20], Operations: ['30-10=20']
Exploring Operation: 40-21=19, Resulting Numbers: [20, 19]
Generated Node #0,2,0: 38:[20, 19] Operation: 40-21=19
Exploring Operation: 40/20=2, Resulting Numbers: [21, 2]
Generated Node #0,2,1: 38:[21, 2] Operation: 40/20=2
Exploring Operation: 21-20=1, Resulting Numbers: [40, 1]
Generated Node #0,2,2: 38:[40, 1] Operation: 21-20=1
Moving to Node #0,2,0
Current State: 38:[20, 19], Operations: ['30-10=20', '40-21=19']
Exploring Operation: 20+19=39, Resulting Numbers: [39]
39,38 unequal: No Solution
Exploring Operation: 20*19=380, Resulting Numbers: [380]
380,38 unequal: No Solution
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,38 unequal: No Solution
Moving to Node #0,2,1
Current State: 38:[21, 2], Operations: ['30-10=20', '40/20=2']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,38 unequal: No Solution
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,38 unequal: No Solution
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,38 unequal: No Solution
Moving to Node #0,2,2
Current State: 38:[40, 1], Operations: ['30-10=20', '21-20=1']
Exploring Operation: 40-1=39, Resulting Numbers: [39]
39,38 unequal: No Solution
Exploring Operation: 40*1=40, Resulting Numbers: [40]
40,38 unequal: No Solution
Exploring Operation: 40/1=40, Resulting Numbers: [40]
40,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 38:[21, 40, 40], Operations: ['10+30=40']
Exploring Operation: 40/40=1, Resulting Numbers: [21, 1]
Generated Node #0,1,0: 38:[21, 1] Operation: 40/40=1
Exploring Operation: 40-21=19, Resulting Numbers: [40, 19]
Generated Node #0,1,1: 38:[40, 19] Operation: 40-21=19
Exploring Operation: 40-21=19, Resulting Numbers: [40, 19]
Generated Node #0,1,2: 38:[40, 19] Operation: 40-21=19
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 38:[40, 19], Operations: ['10+30=40', '40-21=19']
Exploring Operation: 40-19=21, Resulting Numbers: [21]
21,38 unequal: No Solution
Exploring Operation: 40+19=59, Resulting Numbers: [59]
59,38 unequal: No Solution
Exploring Operation: 40*19=760, Resulting Numbers: [760]
760,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 38:[40, 19], Operations: ['10+30=40', '40-21=19']
Exploring Operation: 40+19=59, Resulting Numbers: [59]
59,38 unequal: No Solution
Exploring Operation: 40*19=760, Resulting Numbers: [760]
760,38 unequal: No Solution
Exploring Operation: 40-19=21, Resulting Numbers: [21]
21,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 38:[21, 1], Operations: ['10+30=40', '40/40=1']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,38 unequal: No Solution
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,38 unequal: No Solution
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
63,
99,
6,
67
] | 97 | [
"99-63=36",
"67-6=61",
"36+61=97"
] | Current State: 97:[63, 99, 6, 67], Operations: []
Exploring Operation: 99-63=36, Resulting Numbers: [6, 67, 36]
Generated Node #2: [6, 67, 36] from Operation: 99-63=36
Current State: 97:[6, 67, 36], Operations: ['99-63=36']
Exploring Operation: 67-6=61, Resulting Numbers: [36, 61]
Generated Node #3: [36, 61] from Operation: 67-6=61
Current State: 97:[36, 61], Operations: ['99-63=36', '67-6=61']
Exploring Operation: 36+61=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[63, 99, 6, 67], Operations: []
Exploring Operation: 63+6=69, Resulting Numbers: [99, 67, 69]
Generated Node #0,0: 97:[99, 67, 69] Operation: 63+6=69
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[99, 67, 69], Operations: ['63+6=69']
Exploring Operation: 67+69=136, Resulting Numbers: [99, 136]
Generated Node #0,0,0: 97:[99, 136] Operation: 67+69=136
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[99, 136], Operations: ['63+6=69', '67+69=136']
Exploring Operation: 136-99=37, Resulting Numbers: [37]
37,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
37,
15,
99,
92
] | 68 | [
"99-92=7",
"15*7=105",
"105-37=68"
] | Current State: 68:[37, 15, 99, 92], Operations: []
Exploring Operation: 99-92=7, Resulting Numbers: [37, 15, 7]
Generated Node #2: [37, 15, 7] from Operation: 99-92=7
Current State: 68:[37, 15, 7], Operations: ['99-92=7']
Exploring Operation: 15*7=105, Resulting Numbers: [37, 105]
Generated Node #3: [37, 105] from Operation: 15*7=105
Current State: 68:[37, 105], Operations: ['99-92=7', '15*7=105']
Exploring Operation: 105-37=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[37, 15, 99, 92], Operations: []
Exploring Operation: 99-92=7, Resulting Numbers: [37, 15, 7]
Generated Node #0,0: 68:[37, 15, 7] Operation: 99-92=7
Moving to Node #0,0
Current State: 68:[37, 15, 7], Operations: ['99-92=7']
Exploring Operation: 37-7=30, Resulting Numbers: [15, 30]
Generated Node #0,0,0: 68:[15, 30] Operation: 37-7=30
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 68:[15, 30], Operations: ['99-92=7', '37-7=30']
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
53,
81,
1,
57
] | 78 | [
"53+81=134",
"57-1=56",
"134-56=78"
] | Current State: 78:[53, 81, 1, 57], Operations: []
Exploring Operation: 53+81=134, Resulting Numbers: [1, 57, 134]
Generated Node #2: [1, 57, 134] from Operation: 53+81=134
Current State: 78:[1, 57, 134], Operations: ['53+81=134']
Exploring Operation: 57-1=56, Resulting Numbers: [134, 56]
Generated Node #3: [134, 56] from Operation: 57-1=56
Current State: 78:[134, 56], Operations: ['53+81=134', '57-1=56']
Exploring Operation: 134-56=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[53, 81, 1, 57], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [81, 1, 4]
Generated Node #0,0: 78:[81, 1, 4] Operation: 57-53=4
Exploring Operation: 81-57=24, Resulting Numbers: [53, 1, 24]
Generated Node #0,1: 78:[53, 1, 24] Operation: 81-57=24
Exploring Operation: 53-1=52, Resulting Numbers: [81, 57, 52]
Generated Node #0,2: 78:[81, 57, 52] Operation: 53-1=52
Exploring Operation: 81-53=28, Resulting Numbers: [1, 57, 28]
Generated Node #0,3: 78:[1, 57, 28] Operation: 81-53=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[81, 1, 4], Operations: ['57-53=4']
Exploring Operation: 81*1=81, Resulting Numbers: [4, 81]
Generated Node #0,0,0: 78:[4, 81] Operation: 81*1=81
Exploring Operation: 81-1=80, Resulting Numbers: [4, 80]
Generated Node #0,0,1: 78:[4, 80] Operation: 81-1=80
Exploring Operation: 4-1=3, Resulting Numbers: [81, 3]
Generated Node #0,0,2: 78:[81, 3] Operation: 4-1=3
Exploring Operation: 81-4=77, Resulting Numbers: [1, 77]
Generated Node #0,0,3: 78:[1, 77] Operation: 81-4=77
Moving to Node #0,0,3
Current State: 78:[1, 77], Operations: ['57-53=4', '81-4=77']
Exploring Operation: 1+77=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[53, 81, 1, 57], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [81, 1, 4]
Generated Node #0,0: 78:[81, 1, 4] Operation: 57-53=4
Moving to Node #0,0
Current State: 78:[81, 1, 4], Operations: ['57-53=4']
Exploring Operation: 81-4=77, Resulting Numbers: [1, 77]
Generated Node #0,0,3: 78:[1, 77] Operation: 81-4=77
Moving to Node #0,0,3
Current State: 78:[1, 77], Operations: ['57-53=4', '81-4=77']
Exploring Operation: 1+77=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
50,
92,
72,
27
] | 97 | [
"50+92=142",
"72-27=45",
"142-45=97"
] | Current State: 97:[50, 92, 72, 27], Operations: []
Exploring Operation: 50+92=142, Resulting Numbers: [72, 27, 142]
Generated Node #2: [72, 27, 142] from Operation: 50+92=142
Current State: 97:[72, 27, 142], Operations: ['50+92=142']
Exploring Operation: 72-27=45, Resulting Numbers: [142, 45]
Generated Node #3: [142, 45] from Operation: 72-27=45
Current State: 97:[142, 45], Operations: ['50+92=142', '72-27=45']
Exploring Operation: 142-45=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[50, 92, 72, 27], Operations: []
Exploring Operation: 50+27=77, Resulting Numbers: [92, 72, 77]
Generated Node #0,0: 97:[92, 72, 77] Operation: 50+27=77
Exploring Operation: 50+72=122, Resulting Numbers: [92, 27, 122]
Generated Node #0,1: 97:[92, 27, 122] Operation: 50+72=122
Exploring Operation: 92+27=119, Resulting Numbers: [50, 72, 119]
Generated Node #0,2: 97:[50, 72, 119] Operation: 92+27=119
Exploring Operation: 72+27=99, Resulting Numbers: [50, 92, 99]
Generated Node #0,3: 97:[50, 92, 99] Operation: 72+27=99
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[92, 72, 77], Operations: ['50+27=77']
Exploring Operation: 92-72=20, Resulting Numbers: [77, 20]
Generated Node #0,0,0: 97:[77, 20] Operation: 92-72=20
Exploring Operation: 92+77=169, Resulting Numbers: [72, 169]
Generated Node #0,0,1: 97:[72, 169] Operation: 92+77=169
Exploring Operation: 92+72=164, Resulting Numbers: [77, 164]
Generated Node #0,0,2: 97:[77, 164] Operation: 92+72=164
Exploring Operation: 72+77=149, Resulting Numbers: [92, 149]
Generated Node #0,0,3: 97:[92, 149] Operation: 72+77=149
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 97:[92, 149], Operations: ['50+27=77', '72+77=149']
Exploring Operation: 149-92=57, Resulting Numbers: [57]
57,97 unequal: No Solution
Exploring Operation: 92*149=13708, Resulting Numbers: [13708]
13708,97 unequal: No Solution
Exploring Operation: 92+149=241, Resulting Numbers: [241]
241,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 97:[77, 164], Operations: ['50+27=77', '92+72=164']
Exploring Operation: 164-77=87, Resulting Numbers: [87]
87,97 unequal: No Solution
Exploring Operation: 77+164=241, Resulting Numbers: [241]
241,97 unequal: No Solution
Exploring Operation: 77*164=12628, Resulting Numbers: [12628]
12628,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[77, 20], Operations: ['50+27=77', '92-72=20']
Exploring Operation: 77*20=1540, Resulting Numbers: [1540]
1540,97 unequal: No Solution
Exploring Operation: 77-20=57, Resulting Numbers: [57]
57,97 unequal: No Solution
Exploring Operation: 77+20=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[50, 92, 72, 27], Operations: []
Exploring Operation: 50+27=77, Resulting Numbers: [92, 72, 77]
Generated Node #0,0: 97:[92, 72, 77] Operation: 50+27=77
Moving to Node #0,0
Current State: 97:[92, 72, 77], Operations: ['50+27=77']
Exploring Operation: 92-72=20, Resulting Numbers: [77, 20]
Generated Node #0,0,0: 97:[77, 20] Operation: 92-72=20
Moving to Node #0,0,0
Current State: 97:[77, 20], Operations: ['50+27=77', '92-72=20']
Exploring Operation: 77+20=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.981771 | hs_4 | mult_heuristic |
[
54,
85,
8,
31
] | 51 | [
"85+8=93",
"93/31=3",
"54-3=51"
] | Current State: 51:[54, 85, 8, 31], Operations: []
Exploring Operation: 85+8=93, Resulting Numbers: [54, 31, 93]
Generated Node #2: [54, 31, 93] from Operation: 85+8=93
Current State: 51:[54, 31, 93], Operations: ['85+8=93']
Exploring Operation: 93/31=3, Resulting Numbers: [54, 3]
Generated Node #3: [54, 3] from Operation: 93/31=3
Current State: 51:[54, 3], Operations: ['85+8=93', '93/31=3']
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[54, 85, 8, 31], Operations: []
Exploring Operation: 85-8=77, Resulting Numbers: [54, 31, 77]
Generated Node #0,0: 51:[54, 31, 77] Operation: 85-8=77
Exploring Operation: 85-54=31, Resulting Numbers: [8, 31, 31]
Generated Node #0,1: 51:[8, 31, 31] Operation: 85-54=31
Exploring Operation: 85-31=54, Resulting Numbers: [54, 8, 54]
Generated Node #0,2: 51:[54, 8, 54] Operation: 85-31=54
Moving to Node #0,2
Current State: 51:[54, 8, 54], Operations: ['85-31=54']
Exploring Operation: 54-8=46, Resulting Numbers: [54, 46]
Generated Node #0,2,0: 51:[54, 46] Operation: 54-8=46
Exploring Operation: 54-54=0, Resulting Numbers: [8, 0]
Generated Node #0,2,1: 51:[8, 0] Operation: 54-54=0
Exploring Operation: 54/54=1, Resulting Numbers: [8, 1]
Generated Node #0,2,2: 51:[8, 1] Operation: 54/54=1
Moving to Node #0,1
Current State: 51:[8, 31, 31], Operations: ['85-54=31']
Exploring Operation: 31+31=62, Resulting Numbers: [8, 62]
Generated Node #0,1,0: 51:[8, 62] Operation: 31+31=62
Exploring Operation: 31/31=1, Resulting Numbers: [8, 1]
Generated Node #0,1,1: 51:[8, 1] Operation: 31/31=1
Exploring Operation: 31-31=0, Resulting Numbers: [8, 0]
Generated Node #0,1,2: 51:[8, 0] Operation: 31-31=0
Moving to Node #0,0
Current State: 51:[54, 31, 77], Operations: ['85-8=77']
Exploring Operation: 77-31=46, Resulting Numbers: [54, 46]
Generated Node #0,0,0: 51:[54, 46] Operation: 77-31=46
Exploring Operation: 54-31=23, Resulting Numbers: [77, 23]
Generated Node #0,0,1: 51:[77, 23] Operation: 54-31=23
Exploring Operation: 77-54=23, Resulting Numbers: [31, 23]
Generated Node #0,0,2: 51:[31, 23] Operation: 77-54=23
Moving to Node #0,2,2
Current State: 51:[8, 1], Operations: ['85-31=54', '54/54=1']
Exploring Operation: 8*1=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,51 unequal: No Solution
Moving to Node #0,1,1
Current State: 51:[8, 1], Operations: ['85-54=31', '31/31=1']
Exploring Operation: 8*1=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,51 unequal: No Solution
Moving to Node #0,2,1
Current State: 51:[8, 0], Operations: ['85-31=54', '54-54=0']
Exploring Operation: 8-0=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 8+0=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 8*0=0, Resulting Numbers: [0]
0,51 unequal: No Solution
Moving to Node #0,0,0
Current State: 51:[54, 46], Operations: ['85-8=77', '77-31=46']
Exploring Operation: 54*46=2484, Resulting Numbers: [2484]
2484,51 unequal: No Solution
Exploring Operation: 54+46=100, Resulting Numbers: [100]
100,51 unequal: No Solution
Exploring Operation: 54-46=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Moving to Node #0,1,2
Current State: 51:[8, 0], Operations: ['85-54=31', '31-31=0']
Exploring Operation: 8+0=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 8-0=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 8*0=0, Resulting Numbers: [0]
0,51 unequal: No Solution
Moving to Node #0,2,0
Current State: 51:[54, 46], Operations: ['85-31=54', '54-8=46']
Exploring Operation: 54+46=100, Resulting Numbers: [100]
100,51 unequal: No Solution
Exploring Operation: 54-46=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 54*46=2484, Resulting Numbers: [2484]
2484,51 unequal: No Solution
Moving to Node #0,1,0
Current State: 51:[8, 62], Operations: ['85-54=31', '31+31=62']
Exploring Operation: 62-8=54, Resulting Numbers: [54]
54,51 unequal: No Solution
Exploring Operation: 8*62=496, Resulting Numbers: [496]
496,51 unequal: No Solution
Exploring Operation: 8+62=70, Resulting Numbers: [70]
70,51 unequal: No Solution
Moving to Node #0,0,2
Current State: 51:[31, 23], Operations: ['85-8=77', '77-54=23']
Exploring Operation: 31-23=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 31*23=713, Resulting Numbers: [713]
713,51 unequal: No Solution
Exploring Operation: 31+23=54, Resulting Numbers: [54]
54,51 unequal: No Solution
Moving to Node #0,0,1
Current State: 51:[77, 23], Operations: ['85-8=77', '54-31=23']
Exploring Operation: 77*23=1771, Resulting Numbers: [1771]
1771,51 unequal: No Solution
Exploring Operation: 77-23=54, Resulting Numbers: [54]
54,51 unequal: No Solution
Exploring Operation: 77+23=100, Resulting Numbers: [100]
100,51 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
2,
8,
45,
5
] | 63 | [
"2*5=10",
"8+45=53",
"10+53=63"
] | Current State: 63:[2, 8, 45, 5], Operations: []
Exploring Operation: 2*5=10, Resulting Numbers: [8, 45, 10]
Generated Node #2: [8, 45, 10] from Operation: 2*5=10
Current State: 63:[8, 45, 10], Operations: ['2*5=10']
Exploring Operation: 8+45=53, Resulting Numbers: [10, 53]
Generated Node #3: [10, 53] from Operation: 8+45=53
Current State: 63:[10, 53], Operations: ['2*5=10', '8+45=53']
Exploring Operation: 10+53=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[2, 8, 45, 5], Operations: []
Exploring Operation: 45+5=50, Resulting Numbers: [2, 8, 50]
Generated Node #0,0: 63:[2, 8, 50] Operation: 45+5=50
Exploring Operation: 2+45=47, Resulting Numbers: [8, 5, 47]
Generated Node #0,1: 63:[8, 5, 47] Operation: 2+45=47
Exploring Operation: 45/5=9, Resulting Numbers: [2, 8, 9]
Generated Node #0,2: 63:[2, 8, 9] Operation: 45/5=9
Exploring Operation: 8+45=53, Resulting Numbers: [2, 5, 53]
Generated Node #0,3: 63:[2, 5, 53] Operation: 8+45=53
Moving to Node #0,2
Current State: 63:[2, 8, 9], Operations: ['45/5=9']
Exploring Operation: 2+8=10, Resulting Numbers: [9, 10]
Generated Node #0,2,0: 63:[9, 10] Operation: 2+8=10
Exploring Operation: 9-2=7, Resulting Numbers: [8, 7]
Generated Node #0,2,1: 63:[8, 7] Operation: 9-2=7
Exploring Operation: 8-2=6, Resulting Numbers: [9, 6]
Generated Node #0,2,2: 63:[9, 6] Operation: 8-2=6
Exploring Operation: 8/2=4, Resulting Numbers: [9, 4]
Generated Node #0,2,3: 63:[9, 4] Operation: 8/2=4
Moving to Node #0,3
Current State: 63:[2, 5, 53], Operations: ['8+45=53']
Exploring Operation: 2+5=7, Resulting Numbers: [53, 7]
Generated Node #0,3,0: 63:[53, 7] Operation: 2+5=7
Exploring Operation: 5-2=3, Resulting Numbers: [53, 3]
Generated Node #0,3,1: 63:[53, 3] Operation: 5-2=3
Exploring Operation: 5+53=58, Resulting Numbers: [2, 58]
Generated Node #0,3,2: 63:[2, 58] Operation: 5+53=58
Exploring Operation: 2+53=55, Resulting Numbers: [5, 55]
Generated Node #0,3,3: 63:[5, 55] Operation: 2+53=55
Moving to Node #0,0
Current State: 63:[2, 8, 50], Operations: ['45+5=50']
Exploring Operation: 8+50=58, Resulting Numbers: [2, 58]
Generated Node #0,0,0: 63:[2, 58] Operation: 8+50=58
Exploring Operation: 2+50=52, Resulting Numbers: [8, 52]
Generated Node #0,0,1: 63:[8, 52] Operation: 2+50=52
Exploring Operation: 2+8=10, Resulting Numbers: [50, 10]
Generated Node #0,0,2: 63:[50, 10] Operation: 2+8=10
Exploring Operation: 50/2=25, Resulting Numbers: [8, 25]
Generated Node #0,0,3: 63:[8, 25] Operation: 50/2=25
Moving to Node #0,1
Current State: 63:[8, 5, 47], Operations: ['2+45=47']
Exploring Operation: 8-5=3, Resulting Numbers: [47, 3]
Generated Node #0,1,0: 63:[47, 3] Operation: 8-5=3
Exploring Operation: 5+47=52, Resulting Numbers: [8, 52]
Generated Node #0,1,1: 63:[8, 52] Operation: 5+47=52
Exploring Operation: 8+47=55, Resulting Numbers: [5, 55]
Generated Node #0,1,2: 63:[5, 55] Operation: 8+47=55
Exploring Operation: 8+5=13, Resulting Numbers: [47, 13]
Generated Node #0,1,3: 63:[47, 13] Operation: 8+5=13
Moving to Node #0,2,0
Current State: 63:[9, 10], Operations: ['45/5=9', '2+8=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,63 unequal: No Solution
Exploring Operation: 9+10=19, Resulting Numbers: [19]
19,63 unequal: No Solution
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,63 unequal: No Solution
Moving to Node #0,2,2
Current State: 63:[9, 6], Operations: ['45/5=9', '8-2=6']
Exploring Operation: 9+6=15, Resulting Numbers: [15]
15,63 unequal: No Solution
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,63 unequal: No Solution
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Moving to Node #0,2,1
Current State: 63:[8, 7], Operations: ['45/5=9', '9-2=7']
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,63 unequal: No Solution
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,63 unequal: No Solution
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,63 unequal: No Solution
Moving to Node #0,2,3
Current State: 63:[9, 4], Operations: ['45/5=9', '8/2=4']
Exploring Operation: 9+4=13, Resulting Numbers: [13]
13,63 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,63 unequal: No Solution
Exploring Operation: 9*4=36, Resulting Numbers: [36]
36,63 unequal: No Solution
Moving to Node #0,0,3
Current State: 63:[8, 25], Operations: ['45+5=50', '50/2=25']
Exploring Operation: 25-8=17, Resulting Numbers: [17]
17,63 unequal: No Solution
Exploring Operation: 8*25=200, Resulting Numbers: [200]
200,63 unequal: No Solution
Exploring Operation: 8+25=33, Resulting Numbers: [33]
33,63 unequal: No Solution
Moving to Node #0,3,2
Current State: 63:[2, 58], Operations: ['8+45=53', '5+53=58']
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,63 unequal: No Solution
Exploring Operation: 2+58=60, Resulting Numbers: [60]
60,63 unequal: No Solution
Exploring Operation: 2*58=116, Resulting Numbers: [116]
116,63 unequal: No Solution
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,63 unequal: No Solution
Moving to Node #0,0,0
Current State: 63:[2, 58], Operations: ['45+5=50', '8+50=58']
Exploring Operation: 2*58=116, Resulting Numbers: [116]
116,63 unequal: No Solution
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,63 unequal: No Solution
Exploring Operation: 2+58=60, Resulting Numbers: [60]
60,63 unequal: No Solution
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,63 unequal: No Solution
Moving to Node #0,3,1
Current State: 63:[53, 3], Operations: ['8+45=53', '5-2=3']
Exploring Operation: 53+3=56, Resulting Numbers: [56]
56,63 unequal: No Solution
Exploring Operation: 53-3=50, Resulting Numbers: [50]
50,63 unequal: No Solution
Exploring Operation: 53*3=159, Resulting Numbers: [159]
159,63 unequal: No Solution
Moving to Node #0,3,0
Current State: 63:[53, 7], Operations: ['8+45=53', '2+5=7']
Exploring Operation: 53-7=46, Resulting Numbers: [46]
46,63 unequal: No Solution
Exploring Operation: 53+7=60, Resulting Numbers: [60]
60,63 unequal: No Solution
Exploring Operation: 53*7=371, Resulting Numbers: [371]
371,63 unequal: No Solution
Moving to Node #0,1,2
Current State: 63:[5, 55], Operations: ['2+45=47', '8+47=55']
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,63 unequal: No Solution
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,63 unequal: No Solution
Exploring Operation: 5+55=60, Resulting Numbers: [60]
60,63 unequal: No Solution
Exploring Operation: 5*55=275, Resulting Numbers: [275]
275,63 unequal: No Solution
Moving to Node #0,3,3
Current State: 63:[5, 55], Operations: ['8+45=53', '2+53=55']
Exploring Operation: 5*55=275, Resulting Numbers: [275]
275,63 unequal: No Solution
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,63 unequal: No Solution
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,63 unequal: No Solution
Exploring Operation: 5+55=60, Resulting Numbers: [60]
60,63 unequal: No Solution
Moving to Node #0,1,1
Current State: 63:[8, 52], Operations: ['2+45=47', '5+47=52']
Exploring Operation: 8+52=60, Resulting Numbers: [60]
60,63 unequal: No Solution
Exploring Operation: 52-8=44, Resulting Numbers: [44]
44,63 unequal: No Solution
Exploring Operation: 8*52=416, Resulting Numbers: [416]
416,63 unequal: No Solution
Moving to Node #0,0,1
Current State: 63:[8, 52], Operations: ['45+5=50', '2+50=52']
Exploring Operation: 8+52=60, Resulting Numbers: [60]
60,63 unequal: No Solution
Exploring Operation: 8*52=416, Resulting Numbers: [416]
416,63 unequal: No Solution
Exploring Operation: 52-8=44, Resulting Numbers: [44]
44,63 unequal: No Solution
Moving to Node #0,0,2
Current State: 63:[50, 10], Operations: ['45+5=50', '2+8=10']
Exploring Operation: 50-10=40, Resulting Numbers: [40]
40,63 unequal: No Solution
Exploring Operation: 50+10=60, Resulting Numbers: [60]
60,63 unequal: No Solution
Exploring Operation: 50/10=5, Resulting Numbers: [5]
5,63 unequal: No Solution
Exploring Operation: 50*10=500, Resulting Numbers: [500]
500,63 unequal: No Solution
Moving to Node #0,1,0
Current State: 63:[47, 3], Operations: ['2+45=47', '8-5=3']
Exploring Operation: 47*3=141, Resulting Numbers: [141]
141,63 unequal: No Solution
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,63 unequal: No Solution
Exploring Operation: 47+3=50, Resulting Numbers: [50]
50,63 unequal: No Solution
Moving to Node #0,1,3
Current State: 63:[47, 13], Operations: ['2+45=47', '8+5=13']
Exploring Operation: 47-13=34, Resulting Numbers: [34]
34,63 unequal: No Solution
Exploring Operation: 47+13=60, Resulting Numbers: [60]
60,63 unequal: No Solution
Exploring Operation: 47*13=611, Resulting Numbers: [611]
611,63 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
92,
19,
2,
95
] | 68 | [
"92/2=46",
"19+95=114",
"114-46=68"
] | Current State: 68:[92, 19, 2, 95], Operations: []
Exploring Operation: 92/2=46, Resulting Numbers: [19, 95, 46]
Generated Node #2: [19, 95, 46] from Operation: 92/2=46
Current State: 68:[19, 95, 46], Operations: ['92/2=46']
Exploring Operation: 19+95=114, Resulting Numbers: [46, 114]
Generated Node #3: [46, 114] from Operation: 19+95=114
Current State: 68:[46, 114], Operations: ['92/2=46', '19+95=114']
Exploring Operation: 114-46=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[92, 19, 2, 95], Operations: []
Exploring Operation: 92-19=73, Resulting Numbers: [2, 95, 73]
Generated Node #0,0: 68:[2, 95, 73] Operation: 92-19=73
Exploring Operation: 95/19=5, Resulting Numbers: [92, 2, 5]
Generated Node #0,1: 68:[92, 2, 5] Operation: 95/19=5
Exploring Operation: 95-92=3, Resulting Numbers: [19, 2, 3]
Generated Node #0,2: 68:[19, 2, 3] Operation: 95-92=3
Start Sub Search at level 1: Moving to Node #0,2
Current State: 68:[19, 2, 3], Operations: ['95-92=3']
Exploring Operation: 19-3=16, Resulting Numbers: [2, 16]
Generated Node #0,2,0: 68:[2, 16] Operation: 19-3=16
Exploring Operation: 2+3=5, Resulting Numbers: [19, 5]
Generated Node #0,2,1: 68:[19, 5] Operation: 2+3=5
Exploring Operation: 19-2=17, Resulting Numbers: [3, 17]
Generated Node #0,2,2: 68:[3, 17] Operation: 19-2=17
Moving to Node #0,2,0
Current State: 68:[2, 16], Operations: ['95-92=3', '19-3=16']
Exploring Operation: 2*16=32, Resulting Numbers: [32]
32,68 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,68 unequal: No Solution
Exploring Operation: 2+16=18, Resulting Numbers: [18]
18,68 unequal: No Solution
Moving to Node #0,2,2
Current State: 68:[3, 17], Operations: ['95-92=3', '19-2=17']
Exploring Operation: 3*17=51, Resulting Numbers: [51]
51,68 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,68 unequal: No Solution
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,68 unequal: No Solution
Moving to Node #0,2,1
Current State: 68:[19, 5], Operations: ['95-92=3', '2+3=5']
Exploring Operation: 19+5=24, Resulting Numbers: [24]
24,68 unequal: No Solution
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,68 unequal: No Solution
Exploring Operation: 19*5=95, Resulting Numbers: [95]
95,68 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 #0,1
Current State: 68:[92, 2, 5], Operations: ['95/19=5']
Exploring Operation: 92-5=87, Resulting Numbers: [2, 87]
Generated Node #0,1,0: 68:[2, 87] Operation: 92-5=87
Exploring Operation: 92-2=90, Resulting Numbers: [5, 90]
Generated Node #0,1,1: 68:[5, 90] Operation: 92-2=90
Exploring Operation: 92/2=46, Resulting Numbers: [5, 46]
Generated Node #0,1,2: 68:[5, 46] Operation: 92/2=46
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 68:[5, 46], Operations: ['95/19=5', '92/2=46']
Exploring Operation: 5+46=51, Resulting Numbers: [51]
51,68 unequal: No Solution
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,68 unequal: No Solution
Exploring Operation: 5*46=230, Resulting Numbers: [230]
230,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 68:[2, 87], Operations: ['95/19=5', '92-5=87']
Exploring Operation: 2+87=89, Resulting Numbers: [89]
89,68 unequal: No Solution
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,68 unequal: No Solution
Exploring Operation: 2*87=174, Resulting Numbers: [174]
174,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 68:[5, 90], Operations: ['95/19=5', '92-2=90']
Exploring Operation: 5+90=95, Resulting Numbers: [95]
95,68 unequal: No Solution
Exploring Operation: 90/5=18, Resulting Numbers: [18]
18,68 unequal: No Solution
Exploring Operation: 90-5=85, Resulting Numbers: [85]
85,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[2, 95, 73], Operations: ['92-19=73']
Exploring Operation: 73-2=71, Resulting Numbers: [95, 71]
Generated Node #0,0,0: 68:[95, 71] Operation: 73-2=71
Exploring Operation: 95-2=93, Resulting Numbers: [73, 93]
Generated Node #0,0,1: 68:[73, 93] Operation: 95-2=93
Exploring Operation: 95-73=22, Resulting Numbers: [2, 22]
Generated Node #0,0,2: 68:[2, 22] Operation: 95-73=22
Moving to Node #0,0,2
Current State: 68:[2, 22], Operations: ['92-19=73', '95-73=22']
Exploring Operation: 2+22=24, Resulting Numbers: [24]
24,68 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,68 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,68 unequal: No Solution
Moving to Node #0,0,0
Current State: 68:[95, 71], Operations: ['92-19=73', '73-2=71']
Exploring Operation: 95*71=6745, Resulting Numbers: [6745]
6745,68 unequal: No Solution
Exploring Operation: 95+71=166, Resulting Numbers: [166]
166,68 unequal: No Solution
Exploring Operation: 95-71=24, Resulting Numbers: [24]
24,68 unequal: No Solution
Moving to Node #0,0,1
Current State: 68:[73, 93], Operations: ['92-19=73', '95-2=93']
Exploring Operation: 73*93=6789, Resulting Numbers: [6789]
6789,68 unequal: No Solution
Exploring Operation: 93-73=20, Resulting Numbers: [20]
20,68 unequal: No Solution
Exploring Operation: 73+93=166, Resulting Numbers: [166]
166,68 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 |
[
94,
86,
66,
34
] | 92 | [
"94-86=8",
"66+34=100",
"100-8=92"
] | Current State: 92:[94, 86, 66, 34], Operations: []
Exploring Operation: 94-86=8, Resulting Numbers: [66, 34, 8]
Generated Node #2: [66, 34, 8] from Operation: 94-86=8
Current State: 92:[66, 34, 8], Operations: ['94-86=8']
Exploring Operation: 66+34=100, Resulting Numbers: [8, 100]
Generated Node #3: [8, 100] from Operation: 66+34=100
Current State: 92:[8, 100], Operations: ['94-86=8', '66+34=100']
Exploring Operation: 100-8=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[94, 86, 66, 34], Operations: []
Exploring Operation: 66-34=32, Resulting Numbers: [94, 86, 32]
Generated Node #0,0: 92:[94, 86, 32] Operation: 66-34=32
Exploring Operation: 66+34=100, Resulting Numbers: [94, 86, 100]
Generated Node #0,1: 92:[94, 86, 100] Operation: 66+34=100
Exploring Operation: 86-66=20, Resulting Numbers: [94, 34, 20]
Generated Node #0,2: 92:[94, 34, 20] Operation: 86-66=20
Moving to Node #0,1
Current State: 92:[94, 86, 100], Operations: ['66+34=100']
Exploring Operation: 100-94=6, Resulting Numbers: [86, 6]
Generated Node #0,1,0: 92:[86, 6] Operation: 100-94=6
Exploring Operation: 94-86=8, Resulting Numbers: [100, 8]
Generated Node #0,1,1: 92:[100, 8] Operation: 94-86=8
Exploring Operation: 100-86=14, Resulting Numbers: [94, 14]
Generated Node #0,1,2: 92:[94, 14] Operation: 100-86=14
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 92:[86, 6], Operations: ['66+34=100', '100-94=6']
Exploring Operation: 86-6=80, Resulting Numbers: [80]
80,92 unequal: No Solution
Exploring Operation: 86*6=516, Resulting Numbers: [516]
516,92 unequal: No Solution
Exploring Operation: 86+6=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[94, 86, 66, 34], Operations: []
Exploring Operation: 66+34=100, Resulting Numbers: [94, 86, 100]
Generated Node #0,1: 92:[94, 86, 100] Operation: 66+34=100
Moving to Node #0,1
Current State: 92:[94, 86, 100], Operations: ['66+34=100']
Exploring Operation: 100-94=6, Resulting Numbers: [86, 6]
Generated Node #0,1,0: 92:[86, 6] Operation: 100-94=6
Moving to Node #0,1,0
Current State: 92:[86, 6], Operations: ['66+34=100', '100-94=6']
Exploring Operation: 86+6=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
47,
12,
12,
88
] | 40 | [
"88-47=41",
"12/12=1",
"41-1=40"
] | Current State: 40:[47, 12, 12, 88], Operations: []
Exploring Operation: 88-47=41, Resulting Numbers: [12, 12, 41]
Generated Node #2: [12, 12, 41] from Operation: 88-47=41
Current State: 40:[12, 12, 41], Operations: ['88-47=41']
Exploring Operation: 12/12=1, Resulting Numbers: [41, 1]
Generated Node #3: [41, 1] from Operation: 12/12=1
Current State: 40:[41, 1], Operations: ['88-47=41', '12/12=1']
Exploring Operation: 41-1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[47, 12, 12, 88], Operations: []
Exploring Operation: 88-47=41, Resulting Numbers: [12, 12, 41]
Generated Node #0,0: 40:[12, 12, 41] Operation: 88-47=41
Moving to Node #0,0
Current State: 40:[12, 12, 41], Operations: ['88-47=41']
Exploring Operation: 12/12=1, Resulting Numbers: [41, 1]
Generated Node #0,0,0: 40:[41, 1] Operation: 12/12=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 40:[41, 1], Operations: ['88-47=41', '12/12=1']
Exploring Operation: 41-1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[47, 12, 12, 88], Operations: []
Exploring Operation: 88-47=41, Resulting Numbers: [12, 12, 41]
Generated Node #0,0: 40:[12, 12, 41] Operation: 88-47=41
Moving to Node #0,0
Current State: 40:[12, 12, 41], Operations: ['88-47=41']
Exploring Operation: 12/12=1, Resulting Numbers: [41, 1]
Generated Node #0,0,0: 40:[41, 1] Operation: 12/12=1
Moving to Node #0,0,0
Current State: 40:[41, 1], Operations: ['88-47=41', '12/12=1']
Exploring Operation: 41-1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
34,
24,
6,
16
] | 20 | [
"34-24=10",
"16-6=10",
"10+10=20"
] | Current State: 20:[34, 24, 6, 16], Operations: []
Exploring Operation: 34-24=10, Resulting Numbers: [6, 16, 10]
Generated Node #2: [6, 16, 10] from Operation: 34-24=10
Current State: 20:[6, 16, 10], Operations: ['34-24=10']
Exploring Operation: 16-6=10, Resulting Numbers: [10, 10]
Generated Node #3: [10, 10] from Operation: 16-6=10
Current State: 20:[10, 10], Operations: ['34-24=10', '16-6=10']
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[34, 24, 6, 16], Operations: []
Exploring Operation: 34-16=18, Resulting Numbers: [24, 6, 18]
Generated Node #0,0: 20:[24, 6, 18] Operation: 34-16=18
Exploring Operation: 34-24=10, Resulting Numbers: [6, 16, 10]
Generated Node #0,1: 20:[6, 16, 10] Operation: 34-24=10
Start Sub Search at level 1: Moving to Node #0,1
Current State: 20:[6, 16, 10], Operations: ['34-24=10']
Exploring Operation: 16-6=10, Resulting Numbers: [10, 10]
Generated Node #0,1,0: 20:[10, 10] Operation: 16-6=10
Exploring Operation: 6+16=22, Resulting Numbers: [10, 22]
Generated Node #0,1,1: 20:[10, 22] Operation: 6+16=22
Moving to Node #0,1,0
Current State: 20:[10, 10], Operations: ['34-24=10', '16-6=10']
Exploring Operation: 10/10=1, Resulting Numbers: [1]
1,20 unequal: No Solution
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[34, 24, 6, 16], Operations: []
Exploring Operation: 34-24=10, Resulting Numbers: [6, 16, 10]
Generated Node #0,1: 20:[6, 16, 10] Operation: 34-24=10
Moving to Node #0,1
Current State: 20:[6, 16, 10], Operations: ['34-24=10']
Exploring Operation: 16-6=10, Resulting Numbers: [10, 10]
Generated Node #0,1,0: 20:[10, 10] Operation: 16-6=10
Moving to Node #0,1,0
Current State: 20:[10, 10], Operations: ['34-24=10', '16-6=10']
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
22,
63,
8,
2
] | 60 | [
"22+2=24",
"24/8=3",
"63-3=60"
] | Current State: 60:[22, 63, 8, 2], Operations: []
Exploring Operation: 22+2=24, Resulting Numbers: [63, 8, 24]
Generated Node #2: [63, 8, 24] from Operation: 22+2=24
Current State: 60:[63, 8, 24], Operations: ['22+2=24']
Exploring Operation: 24/8=3, Resulting Numbers: [63, 3]
Generated Node #3: [63, 3] from Operation: 24/8=3
Current State: 60:[63, 3], Operations: ['22+2=24', '24/8=3']
Exploring Operation: 63-3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[22, 63, 8, 2], Operations: []
Exploring Operation: 22-8=14, Resulting Numbers: [63, 2, 14]
Generated Node #0,0: 60:[63, 2, 14] Operation: 22-8=14
Exploring Operation: 8+2=10, Resulting Numbers: [22, 63, 10]
Generated Node #0,1: 60:[22, 63, 10] Operation: 8+2=10
Exploring Operation: 63-2=61, Resulting Numbers: [22, 8, 61]
Generated Node #0,2: 60:[22, 8, 61] Operation: 63-2=61
Exploring Operation: 22-2=20, Resulting Numbers: [63, 8, 20]
Generated Node #0,3: 60:[63, 8, 20] Operation: 22-2=20
Exploring Operation: 22+8=30, Resulting Numbers: [63, 2, 30]
Generated Node #0,4: 60:[63, 2, 30] Operation: 22+8=30
Moving to Node #0,4
Current State: 60:[63, 2, 30], Operations: ['22+8=30']
Exploring Operation: 63-30=33, Resulting Numbers: [2, 33]
Generated Node #0,4,0: 60:[2, 33] Operation: 63-30=33
Exploring Operation: 2*30=60, Resulting Numbers: [63, 60]
Generated Node #0,4,1: 60:[63, 60] Operation: 2*30=60
Exploring Operation: 30/2=15, Resulting Numbers: [63, 15]
Generated Node #0,4,2: 60:[63, 15] Operation: 30/2=15
Exploring Operation: 63-2=61, Resulting Numbers: [30, 61]
Generated Node #0,4,3: 60:[30, 61] Operation: 63-2=61
Exploring Operation: 63+2=65, Resulting Numbers: [30, 65]
Generated Node #0,4,4: 60:[30, 65] Operation: 63+2=65
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 60:[30, 61], Operations: ['22+8=30', '63-2=61']
Exploring Operation: 61-30=31, Resulting Numbers: [31]
31,60 unequal: No Solution
Exploring Operation: 30+61=91, Resulting Numbers: [91]
91,60 unequal: No Solution
Exploring Operation: 30*61=1830, Resulting Numbers: [1830]
1830,60 unequal: No Solution
No 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: 60:[2, 33], Operations: ['22+8=30', '63-30=33']
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,60 unequal: No Solution
Exploring Operation: 2+33=35, Resulting Numbers: [35]
35,60 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,60 unequal: No Solution
No 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: 60:[63, 60], Operations: ['22+8=30', '2*30=60']
Exploring Operation: 63*60=3780, Resulting Numbers: [3780]
3780,60 unequal: No Solution
Exploring Operation: 63+60=123, Resulting Numbers: [123]
123,60 unequal: No Solution
Exploring Operation: 63-60=3, Resulting Numbers: [3]
3,60 unequal: No Solution
No 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: 60:[63, 15], Operations: ['22+8=30', '30/2=15']
Exploring Operation: 63+15=78, Resulting Numbers: [78]
78,60 unequal: No Solution
Exploring Operation: 63*15=945, Resulting Numbers: [945]
945,60 unequal: No Solution
Exploring Operation: 63-15=48, Resulting Numbers: [48]
48,60 unequal: No Solution
No 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: 60:[30, 65], Operations: ['22+8=30', '63+2=65']
Exploring Operation: 30+65=95, Resulting Numbers: [95]
95,60 unequal: No Solution
Exploring Operation: 65-30=35, Resulting Numbers: [35]
35,60 unequal: No Solution
Exploring Operation: 30*65=1950, Resulting Numbers: [1950]
1950,60 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: 60:[63, 2, 14], Operations: ['22-8=14']
Exploring Operation: 63-2=61, Resulting Numbers: [14, 61]
Generated Node #0,0,0: 60:[14, 61] Operation: 63-2=61
Exploring Operation: 2+14=16, Resulting Numbers: [63, 16]
Generated Node #0,0,1: 60:[63, 16] Operation: 2+14=16
Exploring Operation: 2*14=28, Resulting Numbers: [63, 28]
Generated Node #0,0,2: 60:[63, 28] Operation: 2*14=28
Exploring Operation: 14-2=12, Resulting Numbers: [63, 12]
Generated Node #0,0,3: 60:[63, 12] Operation: 14-2=12
Exploring Operation: 14/2=7, Resulting Numbers: [63, 7]
Generated Node #0,0,4: 60:[63, 7] Operation: 14/2=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 60:[14, 61], Operations: ['22-8=14', '63-2=61']
Exploring Operation: 14*61=854, Resulting Numbers: [854]
854,60 unequal: No Solution
Exploring Operation: 61-14=47, Resulting Numbers: [47]
47,60 unequal: No Solution
Exploring Operation: 14+61=75, Resulting Numbers: [75]
75,60 unequal: No Solution
No 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: 60:[63, 12], Operations: ['22-8=14', '14-2=12']
Exploring Operation: 63-12=51, Resulting Numbers: [51]
51,60 unequal: No Solution
Exploring Operation: 63+12=75, Resulting Numbers: [75]
75,60 unequal: No Solution
Exploring Operation: 63*12=756, Resulting Numbers: [756]
756,60 unequal: No Solution
No 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: 60:[63, 16], Operations: ['22-8=14', '2+14=16']
Exploring Operation: 63-16=47, Resulting Numbers: [47]
47,60 unequal: No Solution
Exploring Operation: 63+16=79, Resulting Numbers: [79]
79,60 unequal: No Solution
Exploring Operation: 63*16=1008, Resulting Numbers: [1008]
1008,60 unequal: No Solution
No 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: 60:[63, 7], Operations: ['22-8=14', '14/2=7']
Exploring Operation: 63*7=441, Resulting Numbers: [441]
441,60 unequal: No Solution
Exploring Operation: 63/7=9, Resulting Numbers: [9]
9,60 unequal: No Solution
Exploring Operation: 63-7=56, Resulting Numbers: [56]
56,60 unequal: No Solution
Exploring Operation: 63+7=70, Resulting Numbers: [70]
70,60 unequal: No Solution
No 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: 60:[63, 28], Operations: ['22-8=14', '2*14=28']
Exploring Operation: 63+28=91, Resulting Numbers: [91]
91,60 unequal: No Solution
Exploring Operation: 63*28=1764, Resulting Numbers: [1764]
1764,60 unequal: No Solution
Exploring Operation: 63-28=35, Resulting Numbers: [35]
35,60 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: 60:[22, 63, 10], Operations: ['8+2=10']
Exploring Operation: 63+10=73, Resulting Numbers: [22, 73]
Generated Node #0,1,0: 60:[22, 73] Operation: 63+10=73
Exploring Operation: 63-22=41, Resulting Numbers: [10, 41]
Generated Node #0,1,1: 60:[10, 41] Operation: 63-22=41
Exploring Operation: 22-10=12, Resulting Numbers: [63, 12]
Generated Node #0,1,2: 60:[63, 12] Operation: 22-10=12
Exploring Operation: 22+10=32, Resulting Numbers: [63, 32]
Generated Node #0,1,3: 60:[63, 32] Operation: 22+10=32
Exploring Operation: 63-10=53, Resulting Numbers: [22, 53]
Generated Node #0,1,4: 60:[22, 53] Operation: 63-10=53
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 60:[63, 12], Operations: ['8+2=10', '22-10=12']
Exploring Operation: 63*12=756, Resulting Numbers: [756]
756,60 unequal: No Solution
Exploring Operation: 63+12=75, Resulting Numbers: [75]
75,60 unequal: No Solution
Exploring Operation: 63-12=51, Resulting Numbers: [51]
51,60 unequal: No Solution
No 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: 60:[63, 32], Operations: ['8+2=10', '22+10=32']
Exploring Operation: 63+32=95, Resulting Numbers: [95]
95,60 unequal: No Solution
Exploring Operation: 63-32=31, Resulting Numbers: [31]
31,60 unequal: No Solution
Exploring Operation: 63*32=2016, Resulting Numbers: [2016]
2016,60 unequal: No Solution
No 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: 60:[22, 53], Operations: ['8+2=10', '63-10=53']
Exploring Operation: 53-22=31, Resulting Numbers: [31]
31,60 unequal: No Solution
Exploring Operation: 22*53=1166, Resulting Numbers: [1166]
1166,60 unequal: No Solution
Exploring Operation: 22+53=75, Resulting Numbers: [75]
75,60 unequal: No Solution
No 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: 60:[10, 41], Operations: ['8+2=10', '63-22=41']
Exploring Operation: 10+41=51, Resulting Numbers: [51]
51,60 unequal: No Solution
Exploring Operation: 41-10=31, Resulting Numbers: [31]
31,60 unequal: No Solution
Exploring Operation: 10*41=410, Resulting Numbers: [410]
410,60 unequal: No Solution
No 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: 60:[22, 73], Operations: ['8+2=10', '63+10=73']
Exploring Operation: 73-22=51, Resulting Numbers: [51]
51,60 unequal: No Solution
Exploring Operation: 22*73=1606, Resulting Numbers: [1606]
1606,60 unequal: No Solution
Exploring Operation: 22+73=95, Resulting Numbers: [95]
95,60 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: 60:[22, 8, 61], Operations: ['63-2=61']
Exploring Operation: 22+8=30, Resulting Numbers: [61, 30]
Generated Node #0,2,0: 60:[61, 30] Operation: 22+8=30
Exploring Operation: 22-8=14, Resulting Numbers: [61, 14]
Generated Node #0,2,1: 60:[61, 14] Operation: 22-8=14
Exploring Operation: 8+61=69, Resulting Numbers: [22, 69]
Generated Node #0,2,2: 60:[22, 69] Operation: 8+61=69
Exploring Operation: 61-8=53, Resulting Numbers: [22, 53]
Generated Node #0,2,3: 60:[22, 53] Operation: 61-8=53
Exploring Operation: 61-22=39, Resulting Numbers: [8, 39]
Generated Node #0,2,4: 60:[8, 39] Operation: 61-22=39
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 60:[61, 30], Operations: ['63-2=61', '22+8=30']
Exploring Operation: 61*30=1830, Resulting Numbers: [1830]
1830,60 unequal: No Solution
Exploring Operation: 61-30=31, Resulting Numbers: [31]
31,60 unequal: No Solution
Exploring Operation: 61+30=91, Resulting Numbers: [91]
91,60 unequal: No Solution
No 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: 60:[61, 14], Operations: ['63-2=61', '22-8=14']
Exploring Operation: 61-14=47, Resulting Numbers: [47]
47,60 unequal: No Solution
Exploring Operation: 61*14=854, Resulting Numbers: [854]
854,60 unequal: No Solution
Exploring Operation: 61+14=75, Resulting Numbers: [75]
75,60 unequal: No Solution
No 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: 60:[22, 53], Operations: ['63-2=61', '61-8=53']
Exploring Operation: 22*53=1166, Resulting Numbers: [1166]
1166,60 unequal: No Solution
Exploring Operation: 22+53=75, Resulting Numbers: [75]
75,60 unequal: No Solution
Exploring Operation: 53-22=31, Resulting Numbers: [31]
31,60 unequal: No Solution
No 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: 60:[22, 69], Operations: ['63-2=61', '8+61=69']
Exploring Operation: 22+69=91, Resulting Numbers: [91]
91,60 unequal: No Solution
Exploring Operation: 69-22=47, Resulting Numbers: [47]
47,60 unequal: No Solution
Exploring Operation: 22*69=1518, Resulting Numbers: [1518]
1518,60 unequal: No Solution
No 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: 60:[8, 39], Operations: ['63-2=61', '61-22=39']
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,60 unequal: No Solution
Exploring Operation: 8+39=47, Resulting Numbers: [47]
47,60 unequal: No Solution
Exploring Operation: 8*39=312, Resulting Numbers: [312]
312,60 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: 60:[63, 8, 20], Operations: ['22-2=20']
Exploring Operation: 63+8=71, Resulting Numbers: [20, 71]
Generated Node #0,3,0: 60:[20, 71] Operation: 63+8=71
Exploring Operation: 8+20=28, Resulting Numbers: [63, 28]
Generated Node #0,3,1: 60:[63, 28] Operation: 8+20=28
Exploring Operation: 63-20=43, Resulting Numbers: [8, 43]
Generated Node #0,3,2: 60:[8, 43] Operation: 63-20=43
Exploring Operation: 63-8=55, Resulting Numbers: [20, 55]
Generated Node #0,3,3: 60:[20, 55] Operation: 63-8=55
Exploring Operation: 20-8=12, Resulting Numbers: [63, 12]
Generated Node #0,3,4: 60:[63, 12] Operation: 20-8=12
Moving to Node #0,3,4
Current State: 60:[63, 12], Operations: ['22-2=20', '20-8=12']
Exploring Operation: 63-12=51, Resulting Numbers: [51]
51,60 unequal: No Solution
Exploring Operation: 63*12=756, Resulting Numbers: [756]
756,60 unequal: No Solution
Exploring Operation: 63+12=75, Resulting Numbers: [75]
75,60 unequal: No Solution
Moving to Node #0,3,3
Current State: 60:[20, 55], Operations: ['22-2=20', '63-8=55']
Exploring Operation: 20+55=75, Resulting Numbers: [75]
75,60 unequal: No Solution
Exploring Operation: 20*55=1100, Resulting Numbers: [1100]
1100,60 unequal: No Solution
Exploring Operation: 55-20=35, Resulting Numbers: [35]
35,60 unequal: No Solution
Moving to Node #0,3,1
Current State: 60:[63, 28], Operations: ['22-2=20', '8+20=28']
Exploring Operation: 63-28=35, Resulting Numbers: [35]
35,60 unequal: No Solution
Exploring Operation: 63+28=91, Resulting Numbers: [91]
91,60 unequal: No Solution
Exploring Operation: 63*28=1764, Resulting Numbers: [1764]
1764,60 unequal: No Solution
Moving to Node #0,3,0
Current State: 60:[20, 71], Operations: ['22-2=20', '63+8=71']
Exploring Operation: 20*71=1420, Resulting Numbers: [1420]
1420,60 unequal: No Solution
Exploring Operation: 71-20=51, Resulting Numbers: [51]
51,60 unequal: No Solution
Exploring Operation: 20+71=91, Resulting Numbers: [91]
91,60 unequal: No Solution
Moving to Node #0,3,2
Current State: 60:[8, 43], Operations: ['22-2=20', '63-20=43']
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,60 unequal: No Solution
Exploring Operation: 8+43=51, Resulting Numbers: [51]
51,60 unequal: No Solution
Exploring Operation: 8*43=344, Resulting Numbers: [344]
344,60 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
29,
36,
24,
74
] | 15 | [
"29+36=65",
"74-24=50",
"65-50=15"
] | Current State: 15:[29, 36, 24, 74], Operations: []
Exploring Operation: 29+36=65, Resulting Numbers: [24, 74, 65]
Generated Node #2: [24, 74, 65] from Operation: 29+36=65
Current State: 15:[24, 74, 65], Operations: ['29+36=65']
Exploring Operation: 74-24=50, Resulting Numbers: [65, 50]
Generated Node #3: [65, 50] from Operation: 74-24=50
Current State: 15:[65, 50], Operations: ['29+36=65', '74-24=50']
Exploring Operation: 65-50=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[29, 36, 24, 74], Operations: []
Exploring Operation: 74-36=38, Resulting Numbers: [29, 24, 38]
Generated Node #0,0: 15:[29, 24, 38] Operation: 74-36=38
Exploring Operation: 74-29=45, Resulting Numbers: [36, 24, 45]
Generated Node #0,1: 15:[36, 24, 45] Operation: 74-29=45
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[29, 24, 38], Operations: ['74-36=38']
Exploring Operation: 38-24=14, Resulting Numbers: [29, 14]
Generated Node #0,0,0: 15:[29, 14] Operation: 38-24=14
Exploring Operation: 38-29=9, Resulting Numbers: [24, 9]
Generated Node #0,0,1: 15:[24, 9] Operation: 38-29=9
Moving to Node #0,0,1
Current State: 15:[24, 9], Operations: ['74-36=38', '38-29=9']
Exploring Operation: 24+9=33, Resulting Numbers: [33]
33,15 unequal: No Solution
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[29, 36, 24, 74], Operations: []
Exploring Operation: 74-36=38, Resulting Numbers: [29, 24, 38]
Generated Node #0,0: 15:[29, 24, 38] Operation: 74-36=38
Moving to Node #0,0
Current State: 15:[29, 24, 38], Operations: ['74-36=38']
Exploring Operation: 38-29=9, Resulting Numbers: [24, 9]
Generated Node #0,0,1: 15:[24, 9] Operation: 38-29=9
Moving to Node #0,0,1
Current State: 15:[24, 9], Operations: ['74-36=38', '38-29=9']
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
60,
71,
96,
77
] | 86 | [
"77-71=6",
"60/6=10",
"96-10=86"
] | Current State: 86:[60, 71, 96, 77], Operations: []
Exploring Operation: 77-71=6, Resulting Numbers: [60, 96, 6]
Generated Node #2: [60, 96, 6] from Operation: 77-71=6
Current State: 86:[60, 96, 6], Operations: ['77-71=6']
Exploring Operation: 60/6=10, Resulting Numbers: [96, 10]
Generated Node #3: [96, 10] from Operation: 60/6=10
Current State: 86:[96, 10], Operations: ['77-71=6', '60/6=10']
Exploring Operation: 96-10=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[60, 71, 96, 77], Operations: []
Exploring Operation: 71-60=11, Resulting Numbers: [96, 77, 11]
Generated Node #0,0: 86:[96, 77, 11] Operation: 71-60=11
Exploring Operation: 77-71=6, Resulting Numbers: [60, 96, 6]
Generated Node #0,1: 86:[60, 96, 6] Operation: 77-71=6
Exploring Operation: 96-60=36, Resulting Numbers: [71, 77, 36]
Generated Node #0,2: 86:[71, 77, 36] Operation: 96-60=36
Exploring Operation: 77-60=17, Resulting Numbers: [71, 96, 17]
Generated Node #0,3: 86:[71, 96, 17] Operation: 77-60=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[96, 77, 11], Operations: ['71-60=11']
Exploring Operation: 77/11=7, Resulting Numbers: [96, 7]
Generated Node #0,0,0: 86:[96, 7] Operation: 77/11=7
Exploring Operation: 96-11=85, Resulting Numbers: [77, 85]
Generated Node #0,0,1: 86:[77, 85] Operation: 96-11=85
Exploring Operation: 77+11=88, Resulting Numbers: [96, 88]
Generated Node #0,0,2: 86:[96, 88] Operation: 77+11=88
Exploring Operation: 96-77=19, Resulting Numbers: [11, 19]
Generated Node #0,0,3: 86:[11, 19] Operation: 96-77=19
Moving to Node #0,0,1
Current State: 86:[77, 85], Operations: ['71-60=11', '96-11=85']
Exploring Operation: 77*85=6545, Resulting Numbers: [6545]
6545,86 unequal: No Solution
Exploring Operation: 85-77=8, Resulting Numbers: [8]
8,86 unequal: No Solution
Exploring Operation: 77+85=162, Resulting Numbers: [162]
162,86 unequal: No Solution
Moving to Node #0,0,2
Current State: 86:[96, 88], Operations: ['71-60=11', '77+11=88']
Exploring Operation: 96+88=184, Resulting Numbers: [184]
184,86 unequal: No Solution
Exploring Operation: 96-88=8, Resulting Numbers: [8]
8,86 unequal: No Solution
Exploring Operation: 96*88=8448, Resulting Numbers: [8448]
8448,86 unequal: No Solution
Moving to Node #0,0,0
Current State: 86:[96, 7], Operations: ['71-60=11', '77/11=7']
Exploring Operation: 96-7=89, Resulting Numbers: [89]
89,86 unequal: No Solution
Exploring Operation: 96*7=672, Resulting Numbers: [672]
672,86 unequal: No Solution
Exploring Operation: 96+7=103, Resulting Numbers: [103]
103,86 unequal: No Solution
Moving to Node #0,0,3
Current State: 86:[11, 19], Operations: ['71-60=11', '96-77=19']
Exploring Operation: 11+19=30, Resulting Numbers: [30]
30,86 unequal: No Solution
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,86 unequal: No Solution
Exploring Operation: 11*19=209, Resulting Numbers: [209]
209,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[60, 96, 6], Operations: ['77-71=6']
Exploring Operation: 96-60=36, Resulting Numbers: [6, 36]
Generated Node #0,1,0: 86:[6, 36] Operation: 96-60=36
Exploring Operation: 96-6=90, Resulting Numbers: [60, 90]
Generated Node #0,1,1: 86:[60, 90] Operation: 96-6=90
Exploring Operation: 60-6=54, Resulting Numbers: [96, 54]
Generated Node #0,1,2: 86:[96, 54] Operation: 60-6=54
Exploring Operation: 60/6=10, Resulting Numbers: [96, 10]
Generated Node #0,1,3: 86:[96, 10] Operation: 60/6=10
Moving to Node #0,1,0
Current State: 86:[6, 36], Operations: ['77-71=6', '96-60=36']
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,86 unequal: No Solution
Exploring Operation: 6*36=216, Resulting Numbers: [216]
216,86 unequal: No Solution
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,86 unequal: No Solution
Exploring Operation: 6+36=42, Resulting Numbers: [42]
42,86 unequal: No Solution
Moving to Node #0,1,3
Current State: 86:[96, 10], Operations: ['77-71=6', '60/6=10']
Exploring Operation: 96-10=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[60, 71, 96, 77], Operations: []
Exploring Operation: 77-71=6, Resulting Numbers: [60, 96, 6]
Generated Node #0,1: 86:[60, 96, 6] Operation: 77-71=6
Moving to Node #0,1
Current State: 86:[60, 96, 6], Operations: ['77-71=6']
Exploring Operation: 60/6=10, Resulting Numbers: [96, 10]
Generated Node #0,1,3: 86:[96, 10] Operation: 60/6=10
Moving to Node #0,1,3
Current State: 86:[96, 10], Operations: ['77-71=6', '60/6=10']
Exploring Operation: 96-10=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.971354 | hs_4 | mult_heuristic |
[
64,
88,
72,
5
] | 55 | [
"72-64=8",
"88*5=440",
"440/8=55"
] | Current State: 55:[64, 88, 72, 5], Operations: []
Exploring Operation: 72-64=8, Resulting Numbers: [88, 5, 8]
Generated Node #2: [88, 5, 8] from Operation: 72-64=8
Current State: 55:[88, 5, 8], Operations: ['72-64=8']
Exploring Operation: 88*5=440, Resulting Numbers: [8, 440]
Generated Node #3: [8, 440] from Operation: 88*5=440
Current State: 55:[8, 440], Operations: ['72-64=8', '88*5=440']
Exploring Operation: 440/8=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[64, 88, 72, 5], Operations: []
Exploring Operation: 88-72=16, Resulting Numbers: [64, 5, 16]
Generated Node #0,0: 55:[64, 5, 16] Operation: 88-72=16
Exploring Operation: 88-64=24, Resulting Numbers: [72, 5, 24]
Generated Node #0,1: 55:[72, 5, 24] Operation: 88-64=24
Moving to Node #0,0
Current State: 55:[64, 5, 16], Operations: ['88-72=16']
Exploring Operation: 64-16=48, Resulting Numbers: [5, 48]
Generated Node #0,0,0: 55:[5, 48] Operation: 64-16=48
Exploring Operation: 64/16=4, Resulting Numbers: [5, 4]
Generated Node #0,0,1: 55:[5, 4] Operation: 64/16=4
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 55:[5, 4], Operations: ['88-72=16', '64/16=4']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,55 unequal: No Solution
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 55:[5, 48], Operations: ['88-72=16', '64-16=48']
Exploring Operation: 48-5=43, Resulting Numbers: [43]
43,55 unequal: No Solution
Exploring Operation: 5+48=53, Resulting Numbers: [53]
53,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 55:[72, 5, 24], Operations: ['88-64=24']
Exploring Operation: 72-24=48, Resulting Numbers: [5, 48]
Generated Node #0,1,0: 55:[5, 48] Operation: 72-24=48
Exploring Operation: 72/24=3, Resulting Numbers: [5, 3]
Generated Node #0,1,1: 55:[5, 3] Operation: 72/24=3
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 55:[5, 3], Operations: ['88-64=24', '72/24=3']
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,55 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 55:[5, 48], Operations: ['88-64=24', '72-24=48']
Exploring Operation: 5+48=53, Resulting Numbers: [53]
53,55 unequal: No Solution
Exploring Operation: 48-5=43, Resulting Numbers: [43]
43,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
17,
80,
65,
81
] | 85 | [
"17*80=1360",
"81-65=16",
"1360/16=85"
] | Current State: 85:[17, 80, 65, 81], Operations: []
Exploring Operation: 17*80=1360, Resulting Numbers: [65, 81, 1360]
Generated Node #2: [65, 81, 1360] from Operation: 17*80=1360
Current State: 85:[65, 81, 1360], Operations: ['17*80=1360']
Exploring Operation: 81-65=16, Resulting Numbers: [1360, 16]
Generated Node #3: [1360, 16] from Operation: 81-65=16
Current State: 85:[1360, 16], Operations: ['17*80=1360', '81-65=16']
Exploring Operation: 1360/16=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[17, 80, 65, 81], Operations: []
Exploring Operation: 81-80=1, Resulting Numbers: [17, 65, 1]
Generated Node #0,0: 85:[17, 65, 1] Operation: 81-80=1
Exploring Operation: 81-65=16, Resulting Numbers: [17, 80, 16]
Generated Node #0,1: 85:[17, 80, 16] Operation: 81-65=16
Exploring Operation: 17+65=82, Resulting Numbers: [80, 81, 82]
Generated Node #0,2: 85:[80, 81, 82] Operation: 17+65=82
Exploring Operation: 80-65=15, Resulting Numbers: [17, 81, 15]
Generated Node #0,3: 85:[17, 81, 15] Operation: 80-65=15
Exploring Operation: 17+80=97, Resulting Numbers: [65, 81, 97]
Generated Node #0,4: 85:[65, 81, 97] Operation: 17+80=97
Start Sub Search at level 1: Moving to Node #0,1
Current State: 85:[17, 80, 16], Operations: ['81-65=16']
Exploring Operation: 17-16=1, Resulting Numbers: [80, 1]
Generated Node #0,1,0: 85:[80, 1] Operation: 17-16=1
Exploring Operation: 80+16=96, Resulting Numbers: [17, 96]
Generated Node #0,1,1: 85:[17, 96] Operation: 80+16=96
Exploring Operation: 17+80=97, Resulting Numbers: [16, 97]
Generated Node #0,1,2: 85:[16, 97] Operation: 17+80=97
Exploring Operation: 80/16=5, Resulting Numbers: [17, 5]
Generated Node #0,1,3: 85:[17, 5] Operation: 80/16=5
Exploring Operation: 17+16=33, Resulting Numbers: [80, 33]
Generated Node #0,1,4: 85:[80, 33] Operation: 17+16=33
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 85:[17, 5], Operations: ['81-65=16', '80/16=5']
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,85 unequal: No Solution
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[17, 80, 65, 81], Operations: []
Exploring Operation: 81-65=16, Resulting Numbers: [17, 80, 16]
Generated Node #0,1: 85:[17, 80, 16] Operation: 81-65=16
Moving to Node #0,1
Current State: 85:[17, 80, 16], Operations: ['81-65=16']
Exploring Operation: 80/16=5, Resulting Numbers: [17, 5]
Generated Node #0,1,3: 85:[17, 5] Operation: 80/16=5
Moving to Node #0,1,3
Current State: 85:[17, 5], Operations: ['81-65=16', '80/16=5']
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
83,
38,
69,
25
] | 27 | [
"83+38=121",
"69+25=94",
"121-94=27"
] | Current State: 27:[83, 38, 69, 25], Operations: []
Exploring Operation: 83+38=121, Resulting Numbers: [69, 25, 121]
Generated Node #2: [69, 25, 121] from Operation: 83+38=121
Current State: 27:[69, 25, 121], Operations: ['83+38=121']
Exploring Operation: 69+25=94, Resulting Numbers: [121, 94]
Generated Node #3: [121, 94] from Operation: 69+25=94
Current State: 27:[121, 94], Operations: ['83+38=121', '69+25=94']
Exploring Operation: 121-94=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[83, 38, 69, 25], Operations: []
Exploring Operation: 83-69=14, Resulting Numbers: [38, 25, 14]
Generated Node #0,0: 27:[38, 25, 14] Operation: 83-69=14
Exploring Operation: 69-25=44, Resulting Numbers: [83, 38, 44]
Generated Node #0,1: 27:[83, 38, 44] Operation: 69-25=44
Exploring Operation: 83-25=58, Resulting Numbers: [38, 69, 58]
Generated Node #0,2: 27:[38, 69, 58] Operation: 83-25=58
Exploring Operation: 69-38=31, Resulting Numbers: [83, 25, 31]
Generated Node #0,3: 27:[83, 25, 31] Operation: 69-38=31
Exploring Operation: 83-38=45, Resulting Numbers: [69, 25, 45]
Generated Node #0,4: 27:[69, 25, 45] Operation: 83-38=45
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[38, 25, 14], Operations: ['83-69=14']
Exploring Operation: 25+14=39, Resulting Numbers: [38, 39]
Generated Node #0,0,0: 27:[38, 39] Operation: 25+14=39
Exploring Operation: 38+14=52, Resulting Numbers: [25, 52]
Generated Node #0,0,1: 27:[25, 52] Operation: 38+14=52
Exploring Operation: 25-14=11, Resulting Numbers: [38, 11]
Generated Node #0,0,2: 27:[38, 11] Operation: 25-14=11
Exploring Operation: 38-14=24, Resulting Numbers: [25, 24]
Generated Node #0,0,3: 27:[25, 24] Operation: 38-14=24
Exploring Operation: 38-25=13, Resulting Numbers: [14, 13]
Generated Node #0,0,4: 27:[14, 13] Operation: 38-25=13
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 27:[25, 24], Operations: ['83-69=14', '38-14=24']
Exploring Operation: 25+24=49, Resulting Numbers: [49]
49,27 unequal: No Solution
Exploring Operation: 25-24=1, Resulting Numbers: [1]
1,27 unequal: No Solution
Exploring Operation: 25*24=600, Resulting Numbers: [600]
600,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 27:[14, 13], Operations: ['83-69=14', '38-25=13']
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,27 unequal: No Solution
Exploring Operation: 14+13=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[83, 38, 69, 25], Operations: []
Exploring Operation: 83-69=14, Resulting Numbers: [38, 25, 14]
Generated Node #0,0: 27:[38, 25, 14] Operation: 83-69=14
Moving to Node #0,0
Current State: 27:[38, 25, 14], Operations: ['83-69=14']
Exploring Operation: 38-25=13, Resulting Numbers: [14, 13]
Generated Node #0,0,4: 27:[14, 13] Operation: 38-25=13
Moving to Node #0,0,4
Current State: 27:[14, 13], Operations: ['83-69=14', '38-25=13']
Exploring Operation: 14+13=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_5 | sum_heuristic |
[
35,
2,
46,
20
] | 84 | [
"2+46=48",
"35*48=1680",
"1680/20=84"
] | Current State: 84:[35, 2, 46, 20], Operations: []
Exploring Operation: 2+46=48, Resulting Numbers: [35, 20, 48]
Generated Node #2: [35, 20, 48] from Operation: 2+46=48
Current State: 84:[35, 20, 48], Operations: ['2+46=48']
Exploring Operation: 35*48=1680, Resulting Numbers: [20, 1680]
Generated Node #3: [20, 1680] from Operation: 35*48=1680
Current State: 84:[20, 1680], Operations: ['2+46=48', '35*48=1680']
Exploring Operation: 1680/20=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[35, 2, 46, 20], Operations: []
Exploring Operation: 35+46=81, Resulting Numbers: [2, 20, 81]
Generated Node #0,0: 84:[2, 20, 81] Operation: 35+46=81
Exploring Operation: 46-35=11, Resulting Numbers: [2, 20, 11]
Generated Node #0,1: 84:[2, 20, 11] Operation: 46-35=11
Exploring Operation: 35-20=15, Resulting Numbers: [2, 46, 15]
Generated Node #0,2: 84:[2, 46, 15] Operation: 35-20=15
Exploring Operation: 46-20=26, Resulting Numbers: [35, 2, 26]
Generated Node #0,3: 84:[35, 2, 26] Operation: 46-20=26
Moving to Node #0,1
Current State: 84:[2, 20, 11], Operations: ['46-35=11']
Exploring Operation: 2+11=13, Resulting Numbers: [20, 13]
Generated Node #0,1,0: 84:[20, 13] Operation: 2+11=13
Exploring Operation: 2*11=22, Resulting Numbers: [20, 22]
Generated Node #0,1,1: 84:[20, 22] Operation: 2*11=22
Exploring Operation: 2+20=22, Resulting Numbers: [11, 22]
Generated Node #0,1,2: 84:[11, 22] Operation: 2+20=22
Exploring Operation: 20-11=9, Resulting Numbers: [2, 9]
Generated Node #0,1,3: 84:[2, 9] Operation: 20-11=9
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 84:[20, 13], Operations: ['46-35=11', '2+11=13']
Exploring Operation: 20*13=260, Resulting Numbers: [260]
260,84 unequal: No Solution
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,84 unequal: No Solution
Exploring Operation: 20+13=33, Resulting Numbers: [33]
33,84 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:[20, 22], Operations: ['46-35=11', '2*11=22']
Exploring Operation: 20*22=440, Resulting Numbers: [440]
440,84 unequal: No Solution
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,84 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:[11, 22], Operations: ['46-35=11', '2+20=22']
Exploring Operation: 11+22=33, Resulting Numbers: [33]
33,84 unequal: No Solution
Exploring Operation: 11*22=242, Resulting Numbers: [242]
242,84 unequal: No Solution
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,84 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:[2, 9], Operations: ['46-35=11', '20-11=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,84 unequal: No Solution
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,84 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: 84:[2, 20, 81], Operations: ['35+46=81']
Exploring Operation: 2*20=40, Resulting Numbers: [81, 40]
Generated Node #0,0,0: 84:[81, 40] Operation: 2*20=40
Exploring Operation: 20/2=10, Resulting Numbers: [81, 10]
Generated Node #0,0,1: 84:[81, 10] Operation: 20/2=10
Exploring Operation: 2+20=22, Resulting Numbers: [81, 22]
Generated Node #0,0,2: 84:[81, 22] Operation: 2+20=22
Exploring Operation: 2+81=83, Resulting Numbers: [20, 83]
Generated Node #0,0,3: 84:[20, 83] Operation: 2+81=83
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 84:[20, 83], Operations: ['35+46=81', '2+81=83']
Exploring Operation: 20*83=1660, Resulting Numbers: [1660]
1660,84 unequal: No Solution
Exploring Operation: 83-20=63, Resulting Numbers: [63]
63,84 unequal: No Solution
Exploring Operation: 20+83=103, Resulting Numbers: [103]
103,84 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:[81, 22], Operations: ['35+46=81', '2+20=22']
Exploring Operation: 81-22=59, Resulting Numbers: [59]
59,84 unequal: No Solution
Exploring Operation: 81+22=103, Resulting Numbers: [103]
103,84 unequal: No Solution
Exploring Operation: 81*22=1782, Resulting Numbers: [1782]
1782,84 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:[81, 40], Operations: ['35+46=81', '2*20=40']
Exploring Operation: 81*40=3240, Resulting Numbers: [3240]
3240,84 unequal: No Solution
Exploring Operation: 81+40=121, Resulting Numbers: [121]
121,84 unequal: No Solution
Exploring Operation: 81-40=41, Resulting Numbers: [41]
41,84 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 #0,0,1
Current State: 84:[81, 10], Operations: ['35+46=81', '20/2=10']
Exploring Operation: 81-10=71, Resulting Numbers: [71]
71,84 unequal: No Solution
Exploring Operation: 81*10=810, Resulting Numbers: [810]
810,84 unequal: No Solution
Exploring Operation: 81+10=91, Resulting Numbers: [91]
91,84 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:[2, 46, 15], Operations: ['35-20=15']
Exploring Operation: 46/2=23, Resulting Numbers: [15, 23]
Generated Node #0,2,0: 84:[15, 23] Operation: 46/2=23
Exploring Operation: 46-15=31, Resulting Numbers: [2, 31]
Generated Node #0,2,1: 84:[2, 31] Operation: 46-15=31
Exploring Operation: 46-2=44, Resulting Numbers: [15, 44]
Generated Node #0,2,2: 84:[15, 44] Operation: 46-2=44
Exploring Operation: 15-2=13, Resulting Numbers: [46, 13]
Generated Node #0,2,3: 84:[46, 13] Operation: 15-2=13
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 84:[15, 23], Operations: ['35-20=15', '46/2=23']
Exploring Operation: 15*23=345, Resulting Numbers: [345]
345,84 unequal: No Solution
Exploring Operation: 23-15=8, Resulting Numbers: [8]
8,84 unequal: No Solution
Exploring Operation: 15+23=38, Resulting Numbers: [38]
38,84 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:[2, 31], Operations: ['35-20=15', '46-15=31']
Exploring Operation: 2+31=33, Resulting Numbers: [33]
33,84 unequal: No Solution
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,84 unequal: No Solution
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,84 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:[15, 44], Operations: ['35-20=15', '46-2=44']
Exploring Operation: 15+44=59, Resulting Numbers: [59]
59,84 unequal: No Solution
Exploring Operation: 44-15=29, Resulting Numbers: [29]
29,84 unequal: No Solution
Exploring Operation: 15*44=660, Resulting Numbers: [660]
660,84 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 #0,2,3
Current State: 84:[46, 13], Operations: ['35-20=15', '15-2=13']
Exploring Operation: 46*13=598, Resulting Numbers: [598]
598,84 unequal: No Solution
Exploring Operation: 46+13=59, Resulting Numbers: [59]
59,84 unequal: No Solution
Exploring Operation: 46-13=33, Resulting Numbers: [33]
33,84 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: 84:[35, 2, 26], Operations: ['46-20=26']
Exploring Operation: 2+26=28, Resulting Numbers: [35, 28]
Generated Node #0,3,0: 84:[35, 28] Operation: 2+26=28
Exploring Operation: 35-2=33, Resulting Numbers: [26, 33]
Generated Node #0,3,1: 84:[26, 33] Operation: 35-2=33
Exploring Operation: 35-26=9, Resulting Numbers: [2, 9]
Generated Node #0,3,2: 84:[2, 9] Operation: 35-26=9
Exploring Operation: 35+2=37, Resulting Numbers: [26, 37]
Generated Node #0,3,3: 84:[26, 37] Operation: 35+2=37
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 84:[2, 9], Operations: ['46-20=26', '35-26=9']
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,84 unequal: No Solution
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,84 unequal: No Solution
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,84 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 #0,3,0
Current State: 84:[35, 28], Operations: ['46-20=26', '2+26=28']
Exploring Operation: 35*28=980, Resulting Numbers: [980]
980,84 unequal: No Solution
Exploring Operation: 35-28=7, Resulting Numbers: [7]
7,84 unequal: No Solution
Exploring Operation: 35+28=63, Resulting Numbers: [63]
63,84 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 #0,3,1
Current State: 84:[26, 33], Operations: ['46-20=26', '35-2=33']
Exploring Operation: 26+33=59, Resulting Numbers: [59]
59,84 unequal: No Solution
Exploring Operation: 33-26=7, Resulting Numbers: [7]
7,84 unequal: No Solution
Exploring Operation: 26*33=858, Resulting Numbers: [858]
858,84 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 #0,3,3
Current State: 84:[26, 37], Operations: ['46-20=26', '35+2=37']
Exploring Operation: 37-26=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 26+37=63, Resulting Numbers: [63]
63,84 unequal: No Solution
Exploring Operation: 26*37=962, Resulting Numbers: [962]
962,84 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 |
[
15,
48,
5,
7
] | 78 | [
"7-5=2",
"15*2=30",
"48+30=78"
] | Current State: 78:[15, 48, 5, 7], Operations: []
Exploring Operation: 7-5=2, Resulting Numbers: [15, 48, 2]
Generated Node #2: [15, 48, 2] from Operation: 7-5=2
Current State: 78:[15, 48, 2], Operations: ['7-5=2']
Exploring Operation: 15*2=30, Resulting Numbers: [48, 30]
Generated Node #3: [48, 30] from Operation: 15*2=30
Current State: 78:[48, 30], Operations: ['7-5=2', '15*2=30']
Exploring Operation: 48+30=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[15, 48, 5, 7], Operations: []
Exploring Operation: 15/5=3, Resulting Numbers: [48, 7, 3]
Generated Node #0,0: 78:[48, 7, 3] Operation: 15/5=3
Exploring Operation: 48-7=41, Resulting Numbers: [15, 5, 41]
Generated Node #0,1: 78:[15, 5, 41] Operation: 48-7=41
Exploring Operation: 7-5=2, Resulting Numbers: [15, 48, 2]
Generated Node #0,2: 78:[15, 48, 2] Operation: 7-5=2
Exploring Operation: 48-15=33, Resulting Numbers: [5, 7, 33]
Generated Node #0,3: 78:[5, 7, 33] Operation: 48-15=33
Exploring Operation: 48-5=43, Resulting Numbers: [15, 7, 43]
Generated Node #0,4: 78:[15, 7, 43] Operation: 48-5=43
Moving to Node #0,1
Current State: 78:[15, 5, 41], Operations: ['48-7=41']
Exploring Operation: 15*5=75, Resulting Numbers: [41, 75]
Generated Node #0,1,0: 78:[41, 75] Operation: 15*5=75
Exploring Operation: 41-5=36, Resulting Numbers: [15, 36]
Generated Node #0,1,1: 78:[15, 36] Operation: 41-5=36
Exploring Operation: 15/5=3, Resulting Numbers: [41, 3]
Generated Node #0,1,2: 78:[41, 3] Operation: 15/5=3
Exploring Operation: 15-5=10, Resulting Numbers: [41, 10]
Generated Node #0,1,3: 78:[41, 10] Operation: 15-5=10
Exploring Operation: 41-15=26, Resulting Numbers: [5, 26]
Generated Node #0,1,4: 78:[5, 26] Operation: 41-15=26
Moving to Node #0,4
Current State: 78:[15, 7, 43], Operations: ['48-5=43']
Exploring Operation: 7+43=50, Resulting Numbers: [15, 50]
Generated Node #0,4,0: 78:[15, 50] Operation: 7+43=50
Exploring Operation: 43-7=36, Resulting Numbers: [15, 36]
Generated Node #0,4,1: 78:[15, 36] Operation: 43-7=36
Exploring Operation: 15+7=22, Resulting Numbers: [43, 22]
Generated Node #0,4,2: 78:[43, 22] Operation: 15+7=22
Exploring Operation: 15-7=8, Resulting Numbers: [43, 8]
Generated Node #0,4,3: 78:[43, 8] Operation: 15-7=8
Exploring Operation: 43-15=28, Resulting Numbers: [7, 28]
Generated Node #0,4,4: 78:[7, 28] Operation: 43-15=28
Moving to Node #0,3
Current State: 78:[5, 7, 33], Operations: ['48-15=33']
Exploring Operation: 33-5=28, Resulting Numbers: [7, 28]
Generated Node #0,3,0: 78:[7, 28] Operation: 33-5=28
Exploring Operation: 5+33=38, Resulting Numbers: [7, 38]
Generated Node #0,3,1: 78:[7, 38] Operation: 5+33=38
Exploring Operation: 7+33=40, Resulting Numbers: [5, 40]
Generated Node #0,3,2: 78:[5, 40] Operation: 7+33=40
Exploring Operation: 33-7=26, Resulting Numbers: [5, 26]
Generated Node #0,3,3: 78:[5, 26] Operation: 33-7=26
Exploring Operation: 7-5=2, Resulting Numbers: [33, 2]
Generated Node #0,3,4: 78:[33, 2] Operation: 7-5=2
Moving to Node #0,0
Current State: 78:[48, 7, 3], Operations: ['15/5=3']
Exploring Operation: 48-3=45, Resulting Numbers: [7, 45]
Generated Node #0,0,0: 78:[7, 45] Operation: 48-3=45
Exploring Operation: 7+3=10, Resulting Numbers: [48, 10]
Generated Node #0,0,1: 78:[48, 10] Operation: 7+3=10
Exploring Operation: 7-3=4, Resulting Numbers: [48, 4]
Generated Node #0,0,2: 78:[48, 4] Operation: 7-3=4
Exploring Operation: 48/3=16, Resulting Numbers: [7, 16]
Generated Node #0,0,3: 78:[7, 16] Operation: 48/3=16
Exploring Operation: 48-7=41, Resulting Numbers: [3, 41]
Generated Node #0,0,4: 78:[3, 41] Operation: 48-7=41
Moving to Node #0,2
Current State: 78:[15, 48, 2], Operations: ['7-5=2']
Exploring Operation: 48-15=33, Resulting Numbers: [2, 33]
Generated Node #0,2,0: 78:[2, 33] Operation: 48-15=33
Exploring Operation: 48/2=24, Resulting Numbers: [15, 24]
Generated Node #0,2,1: 78:[15, 24] Operation: 48/2=24
Exploring Operation: 15+2=17, Resulting Numbers: [48, 17]
Generated Node #0,2,2: 78:[48, 17] Operation: 15+2=17
Exploring Operation: 48-2=46, Resulting Numbers: [15, 46]
Generated Node #0,2,3: 78:[15, 46] Operation: 48-2=46
Exploring Operation: 15-2=13, Resulting Numbers: [48, 13]
Generated Node #0,2,4: 78:[48, 13] Operation: 15-2=13
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 78:[15, 24], Operations: ['7-5=2', '48/2=24']
Exploring Operation: 15+24=39, Resulting Numbers: [39]
39,78 unequal: No Solution
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,78 unequal: No Solution
Exploring Operation: 15*24=360, Resulting Numbers: [360]
360,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 78:[2, 33], Operations: ['7-5=2', '48-15=33']
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,78 unequal: No Solution
Exploring Operation: 2+33=35, Resulting Numbers: [35]
35,78 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 78:[15, 46], Operations: ['7-5=2', '48-2=46']
Exploring Operation: 15+46=61, Resulting Numbers: [61]
61,78 unequal: No Solution
Exploring Operation: 46-15=31, Resulting Numbers: [31]
31,78 unequal: No Solution
Exploring Operation: 15*46=690, Resulting Numbers: [690]
690,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 78:[48, 13], Operations: ['7-5=2', '15-2=13']
Exploring Operation: 48*13=624, Resulting Numbers: [624]
624,78 unequal: No Solution
Exploring Operation: 48+13=61, Resulting Numbers: [61]
61,78 unequal: No Solution
Exploring Operation: 48-13=35, Resulting Numbers: [35]
35,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 78:[48, 17], Operations: ['7-5=2', '15+2=17']
Exploring Operation: 48*17=816, Resulting Numbers: [816]
816,78 unequal: No Solution
Exploring Operation: 48-17=31, Resulting Numbers: [31]
31,78 unequal: No Solution
Exploring Operation: 48+17=65, Resulting Numbers: [65]
65,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,4
Current State: 78:[5, 26], Operations: ['48-7=41', '41-15=26']
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,78 unequal: No Solution
Exploring Operation: 5*26=130, Resulting Numbers: [130]
130,78 unequal: No Solution
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,78 unequal: No Solution
Moving to Node #0,3,3
Current State: 78:[5, 26], Operations: ['48-15=33', '33-7=26']
Exploring Operation: 5*26=130, Resulting Numbers: [130]
130,78 unequal: No Solution
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,78 unequal: No Solution
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,78 unequal: No Solution
Moving to Node #0,3,1
Current State: 78:[7, 38], Operations: ['48-15=33', '5+33=38']
Exploring Operation: 7*38=266, Resulting Numbers: [266]
266,78 unequal: No Solution
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,78 unequal: No Solution
Exploring Operation: 7+38=45, Resulting Numbers: [45]
45,78 unequal: No Solution
Moving to Node #0,3,2
Current State: 78:[5, 40], Operations: ['48-15=33', '7+33=40']
Exploring Operation: 5*40=200, Resulting Numbers: [200]
200,78 unequal: No Solution
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,78 unequal: No Solution
Exploring Operation: 40/5=8, Resulting Numbers: [8]
8,78 unequal: No Solution
Exploring Operation: 5+40=45, Resulting Numbers: [45]
45,78 unequal: No Solution
Moving to Node #0,1,2
Current State: 78:[41, 3], Operations: ['48-7=41', '15/5=3']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,78 unequal: No Solution
Exploring Operation: 41+3=44, Resulting Numbers: [44]
44,78 unequal: No Solution
Exploring Operation: 41*3=123, Resulting Numbers: [123]
123,78 unequal: No Solution
Moving to Node #0,0,4
Current State: 78:[3, 41], Operations: ['15/5=3', '48-7=41']
Exploring Operation: 3*41=123, Resulting Numbers: [123]
123,78 unequal: No Solution
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,78 unequal: No Solution
Exploring Operation: 3+41=44, Resulting Numbers: [44]
44,78 unequal: No Solution
Moving to Node #0,3,0
Current State: 78:[7, 28], Operations: ['48-15=33', '33-5=28']
Exploring Operation: 7+28=35, Resulting Numbers: [35]
35,78 unequal: No Solution
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,78 unequal: No Solution
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,78 unequal: No Solution
Exploring Operation: 7*28=196, Resulting Numbers: [196]
196,78 unequal: No Solution
Moving to Node #0,4,4
Current State: 78:[7, 28], Operations: ['48-5=43', '43-15=28']
Exploring Operation: 7+28=35, Resulting Numbers: [35]
35,78 unequal: No Solution
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,78 unequal: No Solution
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,78 unequal: No Solution
Exploring Operation: 7*28=196, Resulting Numbers: [196]
196,78 unequal: No Solution
Moving to Node #0,0,3
Current State: 78:[7, 16], Operations: ['15/5=3', '48/3=16']
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,78 unequal: No Solution
Exploring Operation: 7*16=112, Resulting Numbers: [112]
112,78 unequal: No Solution
Exploring Operation: 7+16=23, Resulting Numbers: [23]
23,78 unequal: No Solution
Moving to Node #0,4,1
Current State: 78:[15, 36], Operations: ['48-5=43', '43-7=36']
Exploring Operation: 15*36=540, Resulting Numbers: [540]
540,78 unequal: No Solution
Exploring Operation: 15+36=51, Resulting Numbers: [51]
51,78 unequal: No Solution
Exploring Operation: 36-15=21, Resulting Numbers: [21]
21,78 unequal: No Solution
Moving to Node #0,1,0
Current State: 78:[41, 75], Operations: ['48-7=41', '15*5=75']
Exploring Operation: 41*75=3075, Resulting Numbers: [3075]
3075,78 unequal: No Solution
Exploring Operation: 75-41=34, Resulting Numbers: [34]
34,78 unequal: No Solution
Exploring Operation: 41+75=116, Resulting Numbers: [116]
116,78 unequal: No Solution
Moving to Node #0,1,3
Current State: 78:[41, 10], Operations: ['48-7=41', '15-5=10']
Exploring Operation: 41*10=410, Resulting Numbers: [410]
410,78 unequal: No Solution
Exploring Operation: 41-10=31, Resulting Numbers: [31]
31,78 unequal: No Solution
Exploring Operation: 41+10=51, Resulting Numbers: [51]
51,78 unequal: No Solution
Moving to Node #0,1,1
Current State: 78:[15, 36], Operations: ['48-7=41', '41-5=36']
Exploring Operation: 15*36=540, Resulting Numbers: [540]
540,78 unequal: No Solution
Exploring Operation: 15+36=51, Resulting Numbers: [51]
51,78 unequal: No Solution
Exploring Operation: 36-15=21, Resulting Numbers: [21]
21,78 unequal: No Solution
Moving to Node #0,3,4
Current State: 78:[33, 2], Operations: ['48-15=33', '7-5=2']
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,78 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,78 unequal: No Solution
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,78 unequal: No Solution
Moving to Node #0,4,3
Current State: 78:[43, 8], Operations: ['48-5=43', '15-7=8']
Exploring Operation: 43+8=51, Resulting Numbers: [51]
51,78 unequal: No Solution
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,78 unequal: No Solution
Exploring Operation: 43*8=344, Resulting Numbers: [344]
344,78 unequal: No Solution
Moving to Node #0,0,0
Current State: 78:[7, 45], Operations: ['15/5=3', '48-3=45']
Exploring Operation: 7*45=315, Resulting Numbers: [315]
315,78 unequal: No Solution
Exploring Operation: 7+45=52, Resulting Numbers: [52]
52,78 unequal: No Solution
Exploring Operation: 45-7=38, Resulting Numbers: [38]
38,78 unequal: No Solution
Moving to Node #0,4,2
Current State: 78:[43, 22], Operations: ['48-5=43', '15+7=22']
Exploring Operation: 43-22=21, Resulting Numbers: [21]
21,78 unequal: No Solution
Exploring Operation: 43+22=65, Resulting Numbers: [65]
65,78 unequal: No Solution
Exploring Operation: 43*22=946, Resulting Numbers: [946]
946,78 unequal: No Solution
Moving to Node #0,0,2
Current State: 78:[48, 4], Operations: ['15/5=3', '7-3=4']
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,78 unequal: No Solution
Exploring Operation: 48*4=192, Resulting Numbers: [192]
192,78 unequal: No Solution
Exploring Operation: 48+4=52, Resulting Numbers: [52]
52,78 unequal: No Solution
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,78 unequal: No Solution
Moving to Node #0,0,1
Current State: 78:[48, 10], Operations: ['15/5=3', '7+3=10']
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,78 unequal: No Solution
Exploring Operation: 48*10=480, Resulting Numbers: [480]
480,78 unequal: No Solution
Exploring Operation: 48+10=58, Resulting Numbers: [58]
58,78 unequal: No Solution
Moving to Node #0,4,0
Current State: 78:[15, 50], Operations: ['48-5=43', '7+43=50']
Exploring Operation: 50-15=35, Resulting Numbers: [35]
35,78 unequal: No Solution
Exploring Operation: 15+50=65, Resulting Numbers: [65]
65,78 unequal: No Solution
Exploring Operation: 15*50=750, Resulting Numbers: [750]
750,78 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
48,
10,
25,
4
] | 30 | [
"48*25=1200",
"10*4=40",
"1200/40=30"
] | Current State: 30:[48, 10, 25, 4], Operations: []
Exploring Operation: 48*25=1200, Resulting Numbers: [10, 4, 1200]
Generated Node #2: [10, 4, 1200] from Operation: 48*25=1200
Current State: 30:[10, 4, 1200], Operations: ['48*25=1200']
Exploring Operation: 10*4=40, Resulting Numbers: [1200, 40]
Generated Node #3: [1200, 40] from Operation: 10*4=40
Current State: 30:[1200, 40], Operations: ['48*25=1200', '10*4=40']
Exploring Operation: 1200/40=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[48, 10, 25, 4], Operations: []
Exploring Operation: 48-25=23, Resulting Numbers: [10, 4, 23]
Generated Node #0,0: 30:[10, 4, 23] Operation: 48-25=23
Exploring Operation: 48/4=12, Resulting Numbers: [10, 25, 12]
Generated Node #0,1: 30:[10, 25, 12] Operation: 48/4=12
Start Sub Search at level 1: Moving to Node #0,1
Current State: 30:[10, 25, 12], Operations: ['48/4=12']
Exploring Operation: 25-10=15, Resulting Numbers: [12, 15]
Generated Node #0,1,0: 30:[12, 15] Operation: 25-10=15
Exploring Operation: 25-12=13, Resulting Numbers: [10, 13]
Generated Node #0,1,1: 30:[10, 13] Operation: 25-12=13
Moving to Node #0,1,0
Current State: 30:[12, 15], Operations: ['48/4=12', '25-10=15']
Exploring Operation: 12+15=27, Resulting Numbers: [27]
27,30 unequal: No Solution
Exploring Operation: 15-12=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Moving to Node #0,1,1
Current State: 30:[10, 13], Operations: ['48/4=12', '25-12=13']
Exploring Operation: 10+13=23, Resulting Numbers: [23]
23,30 unequal: No Solution
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[10, 4, 23], Operations: ['48-25=23']
Exploring Operation: 4+23=27, Resulting Numbers: [10, 27]
Generated Node #0,0,0: 30:[10, 27] Operation: 4+23=27
Exploring Operation: 23-10=13, Resulting Numbers: [4, 13]
Generated Node #0,0,1: 30:[4, 13] Operation: 23-10=13
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 30:[10, 27], Operations: ['48-25=23', '4+23=27']
Exploring Operation: 10+27=37, Resulting Numbers: [37]
37,30 unequal: No Solution
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 30:[4, 13], Operations: ['48-25=23', '23-10=13']
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Exploring Operation: 4+13=17, Resulting Numbers: [17]
17,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
14,
91,
66,
79
] | 92 | [
"14+91=105",
"79-66=13",
"105-13=92"
] | Current State: 92:[14, 91, 66, 79], Operations: []
Exploring Operation: 14+91=105, Resulting Numbers: [66, 79, 105]
Generated Node #2: [66, 79, 105] from Operation: 14+91=105
Current State: 92:[66, 79, 105], Operations: ['14+91=105']
Exploring Operation: 79-66=13, Resulting Numbers: [105, 13]
Generated Node #3: [105, 13] from Operation: 79-66=13
Current State: 92:[105, 13], Operations: ['14+91=105', '79-66=13']
Exploring Operation: 105-13=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[14, 91, 66, 79], Operations: []
Exploring Operation: 66-14=52, Resulting Numbers: [91, 79, 52]
Generated Node #0,0: 92:[91, 79, 52] Operation: 66-14=52
Exploring Operation: 79-66=13, Resulting Numbers: [14, 91, 13]
Generated Node #0,1: 92:[14, 91, 13] Operation: 79-66=13
Exploring Operation: 14+79=93, Resulting Numbers: [91, 66, 93]
Generated Node #0,2: 92:[91, 66, 93] Operation: 14+79=93
Exploring Operation: 91-66=25, Resulting Numbers: [14, 79, 25]
Generated Node #0,3: 92:[14, 79, 25] Operation: 91-66=25
Exploring Operation: 14+66=80, Resulting Numbers: [91, 79, 80]
Generated Node #0,4: 92:[91, 79, 80] Operation: 14+66=80
Start Sub Search at level 1: Moving to Node #0,1
Current State: 92:[14, 91, 13], Operations: ['79-66=13']
Exploring Operation: 14+91=105, Resulting Numbers: [13, 105]
Generated Node #0,1,0: 92:[13, 105] Operation: 14+91=105
Exploring Operation: 14-13=1, Resulting Numbers: [91, 1]
Generated Node #0,1,1: 92:[91, 1] Operation: 14-13=1
Exploring Operation: 14+13=27, Resulting Numbers: [91, 27]
Generated Node #0,1,2: 92:[91, 27] Operation: 14+13=27
Exploring Operation: 91/13=7, Resulting Numbers: [14, 7]
Generated Node #0,1,3: 92:[14, 7] Operation: 91/13=7
Exploring Operation: 91+13=104, Resulting Numbers: [14, 104]
Generated Node #0,1,4: 92:[14, 104] Operation: 91+13=104
Moving to Node #0,1,1
Current State: 92:[91, 1], Operations: ['79-66=13', '14-13=1']
Exploring Operation: 91*1=91, Resulting Numbers: [91]
91,92 unequal: No Solution
Exploring Operation: 91+1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[14, 91, 66, 79], Operations: []
Exploring Operation: 79-66=13, Resulting Numbers: [14, 91, 13]
Generated Node #0,1: 92:[14, 91, 13] Operation: 79-66=13
Moving to Node #0,1
Current State: 92:[14, 91, 13], Operations: ['79-66=13']
Exploring Operation: 14-13=1, Resulting Numbers: [91, 1]
Generated Node #0,1,1: 92:[91, 1] Operation: 14-13=1
Moving to Node #0,1,1
Current State: 92:[91, 1], Operations: ['79-66=13', '14-13=1']
Exploring Operation: 91+1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
46,
23,
23,
45
] | 44 | [
"46-23=23",
"23/23=1",
"45-1=44"
] | Current State: 44:[46, 23, 23, 45], Operations: []
Exploring Operation: 46-23=23, Resulting Numbers: [45, 23]
Generated Node #2: [45, 23] from Operation: 46-23=23
Current State: 44:[45, 23], Operations: ['46-23=23']
Exploring Operation: 23/23=1, Resulting Numbers: [45, 1]
Generated Node #3: [45, 1] from Operation: 23/23=1
Current State: 44:[45, 1], Operations: ['46-23=23', '23/23=1']
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[46, 23, 23, 45], Operations: []
Exploring Operation: 46/23=2, Resulting Numbers: [23, 45, 2]
Generated Node #0,0: 44:[23, 45, 2] Operation: 46/23=2
Moving to Node #0,0
Current State: 44:[23, 45, 2], Operations: ['46/23=2']
Exploring Operation: 45-23=22, Resulting Numbers: [2, 22]
Generated Node #0,0,0: 44:[2, 22] Operation: 45-23=22
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 44:[2, 22], Operations: ['46/23=2', '45-23=22']
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[46, 23, 23, 45], Operations: []
Exploring Operation: 46/23=2, Resulting Numbers: [23, 45, 2]
Generated Node #0,0: 44:[23, 45, 2] Operation: 46/23=2
Moving to Node #0,0
Current State: 44:[23, 45, 2], Operations: ['46/23=2']
Exploring Operation: 45-23=22, Resulting Numbers: [2, 22]
Generated Node #0,0,0: 44:[2, 22] Operation: 45-23=22
Moving to Node #0,0,0
Current State: 44:[2, 22], Operations: ['46/23=2', '45-23=22']
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
16,
25,
73,
61
] | 100 | [
"73-16=57",
"61-57=4",
"25*4=100"
] | Current State: 100:[16, 25, 73, 61], Operations: []
Exploring Operation: 73-16=57, Resulting Numbers: [25, 61, 57]
Generated Node #2: [25, 61, 57] from Operation: 73-16=57
Current State: 100:[25, 61, 57], Operations: ['73-16=57']
Exploring Operation: 61-57=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 61-57=4
Current State: 100:[25, 4], Operations: ['73-16=57', '61-57=4']
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[16, 25, 73, 61], Operations: []
Exploring Operation: 73-61=12, Resulting Numbers: [16, 25, 12]
Generated Node #0,0: 100:[16, 25, 12] Operation: 73-61=12
Moving to Node #0,0
Current State: 100:[16, 25, 12], Operations: ['73-61=12']
Exploring Operation: 16-12=4, Resulting Numbers: [25, 4]
Generated Node #0,0,0: 100:[25, 4] Operation: 16-12=4
Moving to Node #0,0,0
Current State: 100:[25, 4], Operations: ['73-61=12', '16-12=4']
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[16, 25, 73, 61], Operations: []
Exploring Operation: 73-61=12, Resulting Numbers: [16, 25, 12]
Generated Node #0,0: 100:[16, 25, 12] Operation: 73-61=12
Moving to Node #0,0
Current State: 100:[16, 25, 12], Operations: ['73-61=12']
Exploring Operation: 16-12=4, Resulting Numbers: [25, 4]
Generated Node #0,0,0: 100:[25, 4] Operation: 16-12=4
Moving to Node #0,0,0
Current State: 100:[25, 4], Operations: ['73-61=12', '16-12=4']
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
63,
11,
41,
52
] | 58 | [
"52-41=11",
"11*11=121",
"121-63=58"
] | Current State: 58:[63, 11, 41, 52], Operations: []
Exploring Operation: 52-41=11, Resulting Numbers: [63, 11, 11]
Generated Node #2: [63, 11, 11] from Operation: 52-41=11
Current State: 58:[63, 11, 11], Operations: ['52-41=11']
Exploring Operation: 11*11=121, Resulting Numbers: [63, 121]
Generated Node #3: [63, 121] from Operation: 11*11=121
Current State: 58:[63, 121], Operations: ['52-41=11', '11*11=121']
Exploring Operation: 121-63=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[63, 11, 41, 52], Operations: []
Exploring Operation: 41-11=30, Resulting Numbers: [63, 52, 30]
Generated Node #0,0: 58:[63, 52, 30] Operation: 41-11=30
Moving to Node #0,0
Current State: 58:[63, 52, 30], Operations: ['41-11=30']
Exploring Operation: 63-52=11, Resulting Numbers: [30, 11]
Generated Node #0,0,0: 58:[30, 11] Operation: 63-52=11
Moving to Node #0,0,0
Current State: 58:[30, 11], Operations: ['41-11=30', '63-52=11']
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,58 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
54,
64,
78,
47
] | 21 | [
"64-54=10",
"78-47=31",
"31-10=21"
] | Current State: 21:[54, 64, 78, 47], Operations: []
Exploring Operation: 64-54=10, Resulting Numbers: [78, 47, 10]
Generated Node #2: [78, 47, 10] from Operation: 64-54=10
Current State: 21:[78, 47, 10], Operations: ['64-54=10']
Exploring Operation: 78-47=31, Resulting Numbers: [10, 31]
Generated Node #3: [10, 31] from Operation: 78-47=31
Current State: 21:[10, 31], Operations: ['64-54=10', '78-47=31']
Exploring Operation: 31-10=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[54, 64, 78, 47], Operations: []
Exploring Operation: 78-54=24, Resulting Numbers: [64, 47, 24]
Generated Node #0,0: 21:[64, 47, 24] Operation: 78-54=24
Exploring Operation: 78-64=14, Resulting Numbers: [54, 47, 14]
Generated Node #0,1: 21:[54, 47, 14] Operation: 78-64=14
Exploring Operation: 64-54=10, Resulting Numbers: [78, 47, 10]
Generated Node #0,2: 21:[78, 47, 10] Operation: 64-54=10
Start Sub Search at level 1: Moving to Node #0,1
Current State: 21:[54, 47, 14], Operations: ['78-64=14']
Exploring Operation: 47-14=33, Resulting Numbers: [54, 33]
Generated Node #0,1,0: 21:[54, 33] Operation: 47-14=33
Exploring Operation: 54-47=7, Resulting Numbers: [14, 7]
Generated Node #0,1,1: 21:[14, 7] Operation: 54-47=7
Exploring Operation: 54-14=40, Resulting Numbers: [47, 40]
Generated Node #0,1,2: 21:[47, 40] Operation: 54-14=40
Moving to Node #0,1,1
Current State: 21:[14, 7], Operations: ['78-64=14', '54-47=7']
Exploring Operation: 14+7=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[54, 64, 78, 47], Operations: []
Exploring Operation: 78-64=14, Resulting Numbers: [54, 47, 14]
Generated Node #0,1: 21:[54, 47, 14] Operation: 78-64=14
Moving to Node #0,1
Current State: 21:[54, 47, 14], Operations: ['78-64=14']
Exploring Operation: 54-47=7, Resulting Numbers: [14, 7]
Generated Node #0,1,1: 21:[14, 7] Operation: 54-47=7
Moving to Node #0,1,1
Current State: 21:[14, 7], Operations: ['78-64=14', '54-47=7']
Exploring Operation: 14+7=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
15,
25,
52,
60
] | 72 | [
"15+25=40",
"52+60=112",
"112-40=72"
] | Current State: 72:[15, 25, 52, 60], Operations: []
Exploring Operation: 15+25=40, Resulting Numbers: [52, 60, 40]
Generated Node #2: [52, 60, 40] from Operation: 15+25=40
Current State: 72:[52, 60, 40], Operations: ['15+25=40']
Exploring Operation: 52+60=112, Resulting Numbers: [40, 112]
Generated Node #3: [40, 112] from Operation: 52+60=112
Current State: 72:[40, 112], Operations: ['15+25=40', '52+60=112']
Exploring Operation: 112-40=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[15, 25, 52, 60], Operations: []
Exploring Operation: 60-52=8, Resulting Numbers: [15, 25, 8]
Generated Node #0,0: 72:[15, 25, 8] Operation: 60-52=8
Exploring Operation: 52-15=37, Resulting Numbers: [25, 60, 37]
Generated Node #0,1: 72:[25, 60, 37] Operation: 52-15=37
Exploring Operation: 60/15=4, Resulting Numbers: [25, 52, 4]
Generated Node #0,2: 72:[25, 52, 4] Operation: 60/15=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[15, 25, 8], Operations: ['60-52=8']
Exploring Operation: 15-8=7, Resulting Numbers: [25, 7]
Generated Node #0,0,0: 72:[25, 7] Operation: 15-8=7
Exploring Operation: 25-15=10, Resulting Numbers: [8, 10]
Generated Node #0,0,1: 72:[8, 10] Operation: 25-15=10
Exploring Operation: 15+8=23, Resulting Numbers: [25, 23]
Generated Node #0,0,2: 72:[25, 23] Operation: 15+8=23
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 72:[8, 10], Operations: ['60-52=8', '25-15=10']
Exploring Operation: 8*10=80, Resulting Numbers: [80]
80,72 unequal: No Solution
Exploring Operation: 8+10=18, Resulting Numbers: [18]
18,72 unequal: No Solution
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,72 unequal: No Solution
No 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: 72:[25, 7], Operations: ['60-52=8', '15-8=7']
Exploring Operation: 25*7=175, Resulting Numbers: [175]
175,72 unequal: No Solution
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,72 unequal: No Solution
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,72 unequal: No Solution
No 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: 72:[25, 23], Operations: ['60-52=8', '15+8=23']
Exploring Operation: 25*23=575, Resulting Numbers: [575]
575,72 unequal: No Solution
Exploring Operation: 25-23=2, Resulting Numbers: [2]
2,72 unequal: No Solution
Exploring Operation: 25+23=48, Resulting Numbers: [48]
48,72 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
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[25, 60, 37], Operations: ['52-15=37']
Exploring Operation: 60-25=35, Resulting Numbers: [37, 35]
Generated Node #0,1,0: 72:[37, 35] Operation: 60-25=35
Exploring Operation: 37-25=12, Resulting Numbers: [60, 12]
Generated Node #0,1,1: 72:[60, 12] Operation: 37-25=12
Exploring Operation: 60-37=23, Resulting Numbers: [25, 23]
Generated Node #0,1,2: 72:[25, 23] Operation: 60-37=23
Moving to Node #0,1,0
Current State: 72:[37, 35], Operations: ['52-15=37', '60-25=35']
Exploring Operation: 37+35=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[15, 25, 52, 60], Operations: []
Exploring Operation: 52-15=37, Resulting Numbers: [25, 60, 37]
Generated Node #0,1: 72:[25, 60, 37] Operation: 52-15=37
Moving to Node #0,1
Current State: 72:[25, 60, 37], Operations: ['52-15=37']
Exploring Operation: 60-25=35, Resulting Numbers: [37, 35]
Generated Node #0,1,0: 72:[37, 35] Operation: 60-25=35
Moving to Node #0,1,0
Current State: 72:[37, 35], Operations: ['52-15=37', '60-25=35']
Exploring Operation: 37+35=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_3 | mult_heuristic |
[
67,
89,
61,
4
] | 65 | [
"67-61=6",
"4*6=24",
"89-24=65"
] | Current State: 65:[67, 89, 61, 4], Operations: []
Exploring Operation: 67-61=6, Resulting Numbers: [89, 4, 6]
Generated Node #2: [89, 4, 6] from Operation: 67-61=6
Current State: 65:[89, 4, 6], Operations: ['67-61=6']
Exploring Operation: 4*6=24, Resulting Numbers: [89, 24]
Generated Node #3: [89, 24] from Operation: 4*6=24
Current State: 65:[89, 24], Operations: ['67-61=6', '4*6=24']
Exploring Operation: 89-24=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[67, 89, 61, 4], Operations: []
Exploring Operation: 89-67=22, Resulting Numbers: [61, 4, 22]
Generated Node #0,0: 65:[61, 4, 22] Operation: 89-67=22
Moving to Node #0,0
Current State: 65:[61, 4, 22], Operations: ['89-67=22']
Exploring Operation: 61+4=65, Resulting Numbers: [22, 65]
Generated Node #0,0,0: 65:[22, 65] Operation: 61+4=65
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 65:[22, 65], Operations: ['89-67=22', '61+4=65']
Exploring Operation: 22+65=87, Resulting Numbers: [87]
87,65 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 |
[
61,
27,
95,
96
] | 94 | [
"27+95=122",
"122/61=2",
"96-2=94"
] | Current State: 94:[61, 27, 95, 96], Operations: []
Exploring Operation: 27+95=122, Resulting Numbers: [61, 96, 122]
Generated Node #2: [61, 96, 122] from Operation: 27+95=122
Current State: 94:[61, 96, 122], Operations: ['27+95=122']
Exploring Operation: 122/61=2, Resulting Numbers: [96, 2]
Generated Node #3: [96, 2] from Operation: 122/61=2
Current State: 94:[96, 2], Operations: ['27+95=122', '122/61=2']
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[61, 27, 95, 96], Operations: []
Exploring Operation: 61+27=88, Resulting Numbers: [95, 96, 88]
Generated Node #0,0: 94:[95, 96, 88] Operation: 61+27=88
Exploring Operation: 96-61=35, Resulting Numbers: [27, 95, 35]
Generated Node #0,1: 94:[27, 95, 35] Operation: 96-61=35
Exploring Operation: 61-27=34, Resulting Numbers: [95, 96, 34]
Generated Node #0,2: 94:[95, 96, 34] Operation: 61-27=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[95, 96, 88], Operations: ['61+27=88']
Exploring Operation: 96-95=1, Resulting Numbers: [88, 1]
Generated Node #0,0,0: 94:[88, 1] Operation: 96-95=1
Exploring Operation: 96-88=8, Resulting Numbers: [95, 8]
Generated Node #0,0,1: 94:[95, 8] Operation: 96-88=8
Exploring Operation: 95-88=7, Resulting Numbers: [96, 7]
Generated Node #0,0,2: 94:[96, 7] Operation: 95-88=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 94:[88, 1], Operations: ['61+27=88', '96-95=1']
Exploring Operation: 88/1=88, Resulting Numbers: [88]
88,94 unequal: No Solution
Exploring Operation: 88+1=89, Resulting Numbers: [89]
89,94 unequal: No Solution
Exploring Operation: 88*1=88, Resulting Numbers: [88]
88,94 unequal: No Solution
No 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: 94:[95, 8], Operations: ['61+27=88', '96-88=8']
Exploring Operation: 95-8=87, Resulting Numbers: [87]
87,94 unequal: No Solution
Exploring Operation: 95*8=760, Resulting Numbers: [760]
760,94 unequal: No Solution
Exploring Operation: 95+8=103, Resulting Numbers: [103]
103,94 unequal: No Solution
No 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: 94:[96, 7], Operations: ['61+27=88', '95-88=7']
Exploring Operation: 96+7=103, Resulting Numbers: [103]
103,94 unequal: No Solution
Exploring Operation: 96-7=89, Resulting Numbers: [89]
89,94 unequal: No Solution
Exploring Operation: 96*7=672, Resulting Numbers: [672]
672,94 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: 94:[95, 96, 34], Operations: ['61-27=34']
Exploring Operation: 95-34=61, Resulting Numbers: [96, 61]
Generated Node #0,2,0: 94:[96, 61] Operation: 95-34=61
Exploring Operation: 96-34=62, Resulting Numbers: [95, 62]
Generated Node #0,2,1: 94:[95, 62] Operation: 96-34=62
Exploring Operation: 96-95=1, Resulting Numbers: [34, 1]
Generated Node #0,2,2: 94:[34, 1] Operation: 96-95=1
Moving to Node #0,2,2
Current State: 94:[34, 1], Operations: ['61-27=34', '96-95=1']
Exploring Operation: 34+1=35, Resulting Numbers: [35]
35,94 unequal: No Solution
Exploring Operation: 34/1=34, Resulting Numbers: [34]
34,94 unequal: No Solution
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,94 unequal: No Solution
Moving to Node #0,2,0
Current State: 94:[96, 61], Operations: ['61-27=34', '95-34=61']
Exploring Operation: 96*61=5856, Resulting Numbers: [5856]
5856,94 unequal: No Solution
Exploring Operation: 96-61=35, Resulting Numbers: [35]
35,94 unequal: No Solution
Exploring Operation: 96+61=157, Resulting Numbers: [157]
157,94 unequal: No Solution
Moving to Node #0,2,1
Current State: 94:[95, 62], Operations: ['61-27=34', '96-34=62']
Exploring Operation: 95+62=157, Resulting Numbers: [157]
157,94 unequal: No Solution
Exploring Operation: 95-62=33, Resulting Numbers: [33]
33,94 unequal: No Solution
Exploring Operation: 95*62=5890, Resulting Numbers: [5890]
5890,94 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 #0,1
Current State: 94:[27, 95, 35], Operations: ['96-61=35']
Exploring Operation: 27+35=62, Resulting Numbers: [95, 62]
Generated Node #0,1,0: 94:[95, 62] Operation: 27+35=62
Exploring Operation: 35-27=8, Resulting Numbers: [95, 8]
Generated Node #0,1,1: 94:[95, 8] Operation: 35-27=8
Exploring Operation: 95-27=68, Resulting Numbers: [35, 68]
Generated Node #0,1,2: 94:[35, 68] Operation: 95-27=68
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 94:[95, 8], Operations: ['96-61=35', '35-27=8']
Exploring Operation: 95*8=760, Resulting Numbers: [760]
760,94 unequal: No Solution
Exploring Operation: 95-8=87, Resulting Numbers: [87]
87,94 unequal: No Solution
Exploring Operation: 95+8=103, Resulting Numbers: [103]
103,94 unequal: No Solution
No 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: 94:[95, 62], Operations: ['96-61=35', '27+35=62']
Exploring Operation: 95*62=5890, Resulting Numbers: [5890]
5890,94 unequal: No Solution
Exploring Operation: 95-62=33, Resulting Numbers: [33]
33,94 unequal: No Solution
Exploring Operation: 95+62=157, Resulting Numbers: [157]
157,94 unequal: No Solution
No 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: 94:[35, 68], Operations: ['96-61=35', '95-27=68']
Exploring Operation: 35*68=2380, Resulting Numbers: [2380]
2380,94 unequal: No Solution
Exploring Operation: 35+68=103, Resulting Numbers: [103]
103,94 unequal: No Solution
Exploring Operation: 68-35=33, Resulting Numbers: [33]
33,94 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 |
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