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 |
|---|---|---|---|---|---|---|---|---|
[
9,
17,
16,
95
] | 86 | [
"95-9=86",
"17-16=1",
"86*1=86"
] | Current State: 86:[9, 17, 16, 95], Operations: []
Exploring Operation: 95-9=86, Resulting Numbers: [17, 16, 86]
Generated Node #2: [17, 16, 86] from Operation: 95-9=86
Current State: 86:[17, 16, 86], Operations: ['95-9=86']
Exploring Operation: 17-16=1, Resulting Numbers: [86, 1]
Generated Node #3: [86, 1] from Operation: 17-16=1
Current State: 86:[86, 1], Operations: ['95-9=86', '17-16=1']
Exploring Operation: 86*1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[9, 17, 16, 95], Operations: []
Exploring Operation: 95-9=86, Resulting Numbers: [17, 16, 86]
Generated Node #0,0: 86:[17, 16, 86] Operation: 95-9=86
Exploring Operation: 16-9=7, Resulting Numbers: [17, 95, 7]
Generated Node #0,1: 86:[17, 95, 7] Operation: 16-9=7
Exploring Operation: 17+16=33, Resulting Numbers: [9, 95, 33]
Generated Node #0,2: 86:[9, 95, 33] Operation: 17+16=33
Exploring Operation: 17-9=8, Resulting Numbers: [16, 95, 8]
Generated Node #0,3: 86:[16, 95, 8] Operation: 17-9=8
Exploring Operation: 17-16=1, Resulting Numbers: [9, 95, 1]
Generated Node #0,4: 86:[9, 95, 1] Operation: 17-16=1
Moving to Node #0,4
Current State: 86:[9, 95, 1], Operations: ['17-16=1']
Exploring Operation: 95-9=86, Resulting Numbers: [1, 86]
Generated Node #0,4,0: 86:[1, 86] Operation: 95-9=86
Exploring Operation: 9/1=9, Resulting Numbers: [95, 9]
Generated Node #0,4,1: 86:[95, 9] Operation: 9/1=9
Exploring Operation: 95-1=94, Resulting Numbers: [9, 94]
Generated Node #0,4,2: 86:[9, 94] Operation: 95-1=94
Exploring Operation: 9-1=8, Resulting Numbers: [95, 8]
Generated Node #0,4,3: 86:[95, 8] Operation: 9-1=8
Exploring Operation: 9*1=9, Resulting Numbers: [95, 9]
Generated Node #0,4,4: 86:[95, 9] Operation: 9*1=9
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 86:[1, 86], Operations: ['17-16=1', '95-9=86']
Exploring Operation: 86-1=85, Resulting Numbers: [85]
85,86 unequal: No Solution
Exploring Operation: 1+86=87, Resulting Numbers: [87]
87,86 unequal: No Solution
Exploring Operation: 86/1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[9, 17, 16, 95], Operations: []
Exploring Operation: 17-16=1, Resulting Numbers: [9, 95, 1]
Generated Node #0,4: 86:[9, 95, 1] Operation: 17-16=1
Moving to Node #0,4
Current State: 86:[9, 95, 1], Operations: ['17-16=1']
Exploring Operation: 95-9=86, Resulting Numbers: [1, 86]
Generated Node #0,4,0: 86:[1, 86] Operation: 95-9=86
Moving to Node #0,4,0
Current State: 86:[1, 86], Operations: ['17-16=1', '95-9=86']
Exploring Operation: 86/1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
15,
70,
80,
39
] | 34 | [
"15+70=85",
"80+39=119",
"119-85=34"
] | Current State: 34:[15, 70, 80, 39], Operations: []
Exploring Operation: 15+70=85, Resulting Numbers: [80, 39, 85]
Generated Node #2: [80, 39, 85] from Operation: 15+70=85
Current State: 34:[80, 39, 85], Operations: ['15+70=85']
Exploring Operation: 80+39=119, Resulting Numbers: [85, 119]
Generated Node #3: [85, 119] from Operation: 80+39=119
Current State: 34:[85, 119], Operations: ['15+70=85', '80+39=119']
Exploring Operation: 119-85=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[15, 70, 80, 39], Operations: []
Exploring Operation: 80-39=41, Resulting Numbers: [15, 70, 41]
Generated Node #0,0: 34:[15, 70, 41] Operation: 80-39=41
Exploring Operation: 80-70=10, Resulting Numbers: [15, 39, 10]
Generated Node #0,1: 34:[15, 39, 10] Operation: 80-70=10
Moving to Node #0,1
Current State: 34:[15, 39, 10], Operations: ['80-70=10']
Exploring Operation: 39-10=29, Resulting Numbers: [15, 29]
Generated Node #0,1,0: 34:[15, 29] Operation: 39-10=29
Exploring Operation: 15-10=5, Resulting Numbers: [39, 5]
Generated Node #0,1,1: 34:[39, 5] Operation: 15-10=5
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 34:[15, 29], Operations: ['80-70=10', '39-10=29']
Exploring Operation: 15+29=44, Resulting Numbers: [44]
44,34 unequal: No Solution
Exploring Operation: 29-15=14, Resulting Numbers: [14]
14,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 34:[39, 5], Operations: ['80-70=10', '15-10=5']
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[15, 70, 80, 39], Operations: []
Exploring Operation: 80-70=10, Resulting Numbers: [15, 39, 10]
Generated Node #0,1: 34:[15, 39, 10] Operation: 80-70=10
Moving to Node #0,1
Current State: 34:[15, 39, 10], Operations: ['80-70=10']
Exploring Operation: 15-10=5, Resulting Numbers: [39, 5]
Generated Node #0,1,1: 34:[39, 5] Operation: 15-10=5
Moving to Node #0,1,1
Current State: 34:[39, 5], Operations: ['80-70=10', '15-10=5']
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
50,
42,
14,
27
] | 59 | [
"42/14=3",
"27/3=9",
"50+9=59"
] | Current State: 59:[50, 42, 14, 27], Operations: []
Exploring Operation: 42/14=3, Resulting Numbers: [50, 27, 3]
Generated Node #2: [50, 27, 3] from Operation: 42/14=3
Current State: 59:[50, 27, 3], Operations: ['42/14=3']
Exploring Operation: 27/3=9, Resulting Numbers: [50, 9]
Generated Node #3: [50, 9] from Operation: 27/3=9
Current State: 59:[50, 9], Operations: ['42/14=3', '27/3=9']
Exploring Operation: 50+9=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[50, 42, 14, 27], Operations: []
Exploring Operation: 42+14=56, Resulting Numbers: [50, 27, 56]
Generated Node #0,0: 59:[50, 27, 56] Operation: 42+14=56
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[50, 27, 56], Operations: ['42+14=56']
Exploring Operation: 50+27=77, Resulting Numbers: [56, 77]
Generated Node #0,0,0: 59:[56, 77] Operation: 50+27=77
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 59:[56, 77], Operations: ['42+14=56', '50+27=77']
Exploring Operation: 77-56=21, Resulting Numbers: [21]
21,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
94,
22,
98,
61
] | 87 | [
"94-22=72",
"98+61=159",
"159-72=87"
] | Current State: 87:[94, 22, 98, 61], Operations: []
Exploring Operation: 94-22=72, Resulting Numbers: [98, 61, 72]
Generated Node #2: [98, 61, 72] from Operation: 94-22=72
Current State: 87:[98, 61, 72], Operations: ['94-22=72']
Exploring Operation: 98+61=159, Resulting Numbers: [72, 159]
Generated Node #3: [72, 159] from Operation: 98+61=159
Current State: 87:[72, 159], Operations: ['94-22=72', '98+61=159']
Exploring Operation: 159-72=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[94, 22, 98, 61], Operations: []
Exploring Operation: 94-61=33, Resulting Numbers: [22, 98, 33]
Generated Node #0,0: 87:[22, 98, 33] Operation: 94-61=33
Moving to Node #0,0
Current State: 87:[22, 98, 33], Operations: ['94-61=33']
Exploring Operation: 98-22=76, Resulting Numbers: [33, 76]
Generated Node #0,0,0: 87:[33, 76] Operation: 98-22=76
Moving to Node #0,0,0
Current State: 87:[33, 76], Operations: ['94-61=33', '98-22=76']
Exploring Operation: 76-33=43, Resulting Numbers: [43]
43,87 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
17,
31,
64,
51
] | 92 | [
"51/17=3",
"31+64=95",
"95-3=92"
] | Current State: 92:[17, 31, 64, 51], Operations: []
Exploring Operation: 51/17=3, Resulting Numbers: [31, 64, 3]
Generated Node #2: [31, 64, 3] from Operation: 51/17=3
Current State: 92:[31, 64, 3], Operations: ['51/17=3']
Exploring Operation: 31+64=95, Resulting Numbers: [3, 95]
Generated Node #3: [3, 95] from Operation: 31+64=95
Current State: 92:[3, 95], Operations: ['51/17=3', '31+64=95']
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[17, 31, 64, 51], Operations: []
Exploring Operation: 64-51=13, Resulting Numbers: [17, 31, 13]
Generated Node #0,0: 92:[17, 31, 13] Operation: 64-51=13
Exploring Operation: 31+64=95, Resulting Numbers: [17, 51, 95]
Generated Node #0,1: 92:[17, 51, 95] Operation: 31+64=95
Exploring Operation: 64-17=47, Resulting Numbers: [31, 51, 47]
Generated Node #0,2: 92:[31, 51, 47] Operation: 64-17=47
Exploring Operation: 64-31=33, Resulting Numbers: [17, 51, 33]
Generated Node #0,3: 92:[17, 51, 33] Operation: 64-31=33
Exploring Operation: 17+64=81, Resulting Numbers: [31, 51, 81]
Generated Node #0,4: 92:[31, 51, 81] Operation: 17+64=81
Moving to Node #0,1
Current State: 92:[17, 51, 95], Operations: ['31+64=95']
Exploring Operation: 95-17=78, Resulting Numbers: [51, 78]
Generated Node #0,1,0: 92:[51, 78] Operation: 95-17=78
Exploring Operation: 51-17=34, Resulting Numbers: [95, 34]
Generated Node #0,1,1: 92:[95, 34] Operation: 51-17=34
Exploring Operation: 51/17=3, Resulting Numbers: [95, 3]
Generated Node #0,1,2: 92:[95, 3] Operation: 51/17=3
Exploring Operation: 17+51=68, Resulting Numbers: [95, 68]
Generated Node #0,1,3: 92:[95, 68] Operation: 17+51=68
Exploring Operation: 95-51=44, Resulting Numbers: [17, 44]
Generated Node #0,1,4: 92:[17, 44] Operation: 95-51=44
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 92:[95, 3], Operations: ['31+64=95', '51/17=3']
Exploring Operation: 95+3=98, Resulting Numbers: [98]
98,92 unequal: No Solution
Exploring Operation: 95*3=285, Resulting Numbers: [285]
285,92 unequal: No Solution
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[17, 31, 64, 51], Operations: []
Exploring Operation: 31+64=95, Resulting Numbers: [17, 51, 95]
Generated Node #0,1: 92:[17, 51, 95] Operation: 31+64=95
Moving to Node #0,1
Current State: 92:[17, 51, 95], Operations: ['31+64=95']
Exploring Operation: 51/17=3, Resulting Numbers: [95, 3]
Generated Node #0,1,2: 92:[95, 3] Operation: 51/17=3
Moving to Node #0,1,2
Current State: 92:[95, 3], Operations: ['31+64=95', '51/17=3']
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
19,
36,
87,
48
] | 97 | [
"87*48=4176",
"4176/36=116",
"116-19=97"
] | Current State: 97:[19, 36, 87, 48], Operations: []
Exploring Operation: 87*48=4176, Resulting Numbers: [19, 36, 4176]
Generated Node #2: [19, 36, 4176] from Operation: 87*48=4176
Current State: 97:[19, 36, 4176], Operations: ['87*48=4176']
Exploring Operation: 4176/36=116, Resulting Numbers: [19, 116]
Generated Node #3: [19, 116] from Operation: 4176/36=116
Current State: 97:[19, 116], Operations: ['87*48=4176', '4176/36=116']
Exploring Operation: 116-19=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[19, 36, 87, 48], Operations: []
Exploring Operation: 19+36=55, Resulting Numbers: [87, 48, 55]
Generated Node #0,0: 97:[87, 48, 55] Operation: 19+36=55
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[87, 48, 55], Operations: ['19+36=55']
Exploring Operation: 48+55=103, Resulting Numbers: [87, 103]
Generated Node #0,0,0: 97:[87, 103] Operation: 48+55=103
Moving to Node #0,0,0
Current State: 97:[87, 103], Operations: ['19+36=55', '48+55=103']
Exploring Operation: 103-87=16, Resulting Numbers: [16]
16,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
7,
56,
2,
37
] | 53 | [
"56/7=8",
"2*8=16",
"37+16=53"
] | Current State: 53:[7, 56, 2, 37], Operations: []
Exploring Operation: 56/7=8, Resulting Numbers: [2, 37, 8]
Generated Node #2: [2, 37, 8] from Operation: 56/7=8
Current State: 53:[2, 37, 8], Operations: ['56/7=8']
Exploring Operation: 2*8=16, Resulting Numbers: [37, 16]
Generated Node #3: [37, 16] from Operation: 2*8=16
Current State: 53:[37, 16], Operations: ['56/7=8', '2*8=16']
Exploring Operation: 37+16=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[7, 56, 2, 37], Operations: []
Exploring Operation: 7+2=9, Resulting Numbers: [56, 37, 9]
Generated Node #0,0: 53:[56, 37, 9] Operation: 7+2=9
Exploring Operation: 7+37=44, Resulting Numbers: [56, 2, 44]
Generated Node #0,1: 53:[56, 2, 44] Operation: 7+37=44
Exploring Operation: 7*2=14, Resulting Numbers: [56, 37, 14]
Generated Node #0,2: 53:[56, 37, 14] Operation: 7*2=14
Start Sub Search at level 1: Moving to Node #0,2
Current State: 53:[56, 37, 14], Operations: ['7*2=14']
Exploring Operation: 56-14=42, Resulting Numbers: [37, 42]
Generated Node #0,2,0: 53:[37, 42] Operation: 56-14=42
Exploring Operation: 56+14=70, Resulting Numbers: [37, 70]
Generated Node #0,2,1: 53:[37, 70] Operation: 56+14=70
Exploring Operation: 37+14=51, Resulting Numbers: [56, 51]
Generated Node #0,2,2: 53:[56, 51] Operation: 37+14=51
Moving to Node #0,2,2
Current State: 53:[56, 51], Operations: ['7*2=14', '37+14=51']
Exploring Operation: 56*51=2856, Resulting Numbers: [2856]
2856,53 unequal: No Solution
Exploring Operation: 56-51=5, Resulting Numbers: [5]
5,53 unequal: No Solution
Exploring Operation: 56+51=107, Resulting Numbers: [107]
107,53 unequal: No Solution
Moving to Node #0,2,0
Current State: 53:[37, 42], Operations: ['7*2=14', '56-14=42']
Exploring Operation: 37+42=79, Resulting Numbers: [79]
79,53 unequal: No Solution
Exploring Operation: 42-37=5, Resulting Numbers: [5]
5,53 unequal: No Solution
Exploring Operation: 37*42=1554, Resulting Numbers: [1554]
1554,53 unequal: No Solution
Moving to Node #0,2,1
Current State: 53:[37, 70], Operations: ['7*2=14', '56+14=70']
Exploring Operation: 70-37=33, Resulting Numbers: [33]
33,53 unequal: No Solution
Exploring Operation: 37+70=107, Resulting Numbers: [107]
107,53 unequal: No Solution
Exploring Operation: 37*70=2590, Resulting Numbers: [2590]
2590,53 unequal: No Solution
No 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: 53:[56, 37, 9], Operations: ['7+2=9']
Exploring Operation: 56+9=65, Resulting Numbers: [37, 65]
Generated Node #0,0,0: 53:[37, 65] Operation: 56+9=65
Exploring Operation: 56-9=47, Resulting Numbers: [37, 47]
Generated Node #0,0,1: 53:[37, 47] Operation: 56-9=47
Exploring Operation: 37+9=46, Resulting Numbers: [56, 46]
Generated Node #0,0,2: 53:[56, 46] Operation: 37+9=46
Moving to Node #0,0,2
Current State: 53:[56, 46], Operations: ['7+2=9', '37+9=46']
Exploring Operation: 56*46=2576, Resulting Numbers: [2576]
2576,53 unequal: No Solution
Exploring Operation: 56-46=10, Resulting Numbers: [10]
10,53 unequal: No Solution
Exploring Operation: 56+46=102, Resulting Numbers: [102]
102,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[37, 47], Operations: ['7+2=9', '56-9=47']
Exploring Operation: 37+47=84, Resulting Numbers: [84]
84,53 unequal: No Solution
Exploring Operation: 37*47=1739, Resulting Numbers: [1739]
1739,53 unequal: No Solution
Exploring Operation: 47-37=10, Resulting Numbers: [10]
10,53 unequal: No Solution
Moving to Node #0,0,0
Current State: 53:[37, 65], Operations: ['7+2=9', '56+9=65']
Exploring Operation: 37*65=2405, Resulting Numbers: [2405]
2405,53 unequal: No Solution
Exploring Operation: 37+65=102, Resulting Numbers: [102]
102,53 unequal: No Solution
Exploring Operation: 65-37=28, Resulting Numbers: [28]
28,53 unequal: No Solution
No 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:[56, 2, 44], Operations: ['7+37=44']
Exploring Operation: 2+44=46, Resulting Numbers: [56, 46]
Generated Node #0,1,0: 53:[56, 46] Operation: 2+44=46
Exploring Operation: 56+2=58, Resulting Numbers: [44, 58]
Generated Node #0,1,1: 53:[44, 58] Operation: 56+2=58
Exploring Operation: 56-2=54, Resulting Numbers: [44, 54]
Generated Node #0,1,2: 53:[44, 54] Operation: 56-2=54
Moving to Node #0,1,0
Current State: 53:[56, 46], Operations: ['7+37=44', '2+44=46']
Exploring Operation: 56-46=10, Resulting Numbers: [10]
10,53 unequal: No Solution
Exploring Operation: 56+46=102, Resulting Numbers: [102]
102,53 unequal: No Solution
Exploring Operation: 56*46=2576, Resulting Numbers: [2576]
2576,53 unequal: No Solution
Moving to Node #0,1,2
Current State: 53:[44, 54], Operations: ['7+37=44', '56-2=54']
Exploring Operation: 44*54=2376, Resulting Numbers: [2376]
2376,53 unequal: No Solution
Exploring Operation: 44+54=98, Resulting Numbers: [98]
98,53 unequal: No Solution
Exploring Operation: 54-44=10, Resulting Numbers: [10]
10,53 unequal: No Solution
Moving to Node #0,1,1
Current State: 53:[44, 58], Operations: ['7+37=44', '56+2=58']
Exploring Operation: 58-44=14, Resulting Numbers: [14]
14,53 unequal: No Solution
Exploring Operation: 44*58=2552, Resulting Numbers: [2552]
2552,53 unequal: No Solution
Exploring Operation: 44+58=102, Resulting Numbers: [102]
102,53 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 |
[
37,
80,
27,
80
] | 11 | [
"37-27=10",
"80/80=1",
"10+1=11"
] | Current State: 11:[37, 80, 27, 80], Operations: []
Exploring Operation: 37-27=10, Resulting Numbers: [80, 80, 10]
Generated Node #2: [80, 80, 10] from Operation: 37-27=10
Current State: 11:[80, 80, 10], Operations: ['37-27=10']
Exploring Operation: 80/80=1, Resulting Numbers: [10, 1]
Generated Node #3: [10, 1] from Operation: 80/80=1
Current State: 11:[10, 1], Operations: ['37-27=10', '80/80=1']
Exploring Operation: 10+1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[37, 80, 27, 80], Operations: []
Exploring Operation: 80-80=0, Resulting Numbers: [37, 27, 0]
Generated Node #0,0: 11:[37, 27, 0] Operation: 80-80=0
Exploring Operation: 80/80=1, Resulting Numbers: [37, 27, 1]
Generated Node #0,1: 11:[37, 27, 1] Operation: 80/80=1
Moving to Node #0,1
Current State: 11:[37, 27, 1], Operations: ['80/80=1']
Exploring Operation: 37-1=36, Resulting Numbers: [27, 36]
Generated Node #0,1,0: 11:[27, 36] Operation: 37-1=36
Exploring Operation: 37-27=10, Resulting Numbers: [1, 10]
Generated Node #0,1,1: 11:[1, 10] Operation: 37-27=10
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 11:[1, 10], Operations: ['80/80=1', '37-27=10']
Exploring Operation: 1+10=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[37, 80, 27, 80], Operations: []
Exploring Operation: 80/80=1, Resulting Numbers: [37, 27, 1]
Generated Node #0,1: 11:[37, 27, 1] Operation: 80/80=1
Moving to Node #0,1
Current State: 11:[37, 27, 1], Operations: ['80/80=1']
Exploring Operation: 37-27=10, Resulting Numbers: [1, 10]
Generated Node #0,1,1: 11:[1, 10] Operation: 37-27=10
Moving to Node #0,1,1
Current State: 11:[1, 10], Operations: ['80/80=1', '37-27=10']
Exploring Operation: 1+10=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
60,
2,
27,
36
] | 53 | [
"60+2=62",
"36-27=9",
"62-9=53"
] | Current State: 53:[60, 2, 27, 36], Operations: []
Exploring Operation: 60+2=62, Resulting Numbers: [27, 36, 62]
Generated Node #2: [27, 36, 62] from Operation: 60+2=62
Current State: 53:[27, 36, 62], Operations: ['60+2=62']
Exploring Operation: 36-27=9, Resulting Numbers: [62, 9]
Generated Node #3: [62, 9] from Operation: 36-27=9
Current State: 53:[62, 9], Operations: ['60+2=62', '36-27=9']
Exploring Operation: 62-9=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[60, 2, 27, 36], Operations: []
Exploring Operation: 60-2=58, Resulting Numbers: [27, 36, 58]
Generated Node #0,0: 53:[27, 36, 58] Operation: 60-2=58
Exploring Operation: 2*27=54, Resulting Numbers: [60, 36, 54]
Generated Node #0,1: 53:[60, 36, 54] Operation: 2*27=54
Start Sub Search at level 1: Moving to Node #0,1
Current State: 53:[60, 36, 54], Operations: ['2*27=54']
Exploring Operation: 54-36=18, Resulting Numbers: [60, 18]
Generated Node #0,1,0: 53:[60, 18] Operation: 54-36=18
Exploring Operation: 60-36=24, Resulting Numbers: [54, 24]
Generated Node #0,1,1: 53:[54, 24] Operation: 60-36=24
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 53:[54, 24], Operations: ['2*27=54', '60-36=24']
Exploring Operation: 54-24=30, Resulting Numbers: [30]
30,53 unequal: No Solution
Exploring Operation: 54+24=78, Resulting Numbers: [78]
78,53 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 #0,1,0
Current State: 53:[60, 18], Operations: ['2*27=54', '54-36=18']
Exploring Operation: 60+18=78, Resulting Numbers: [78]
78,53 unequal: No Solution
Exploring Operation: 60-18=42, Resulting Numbers: [42]
42,53 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 #0,0
Current State: 53:[27, 36, 58], Operations: ['60-2=58']
Exploring Operation: 27+36=63, Resulting Numbers: [58, 63]
Generated Node #0,0,0: 53:[58, 63] Operation: 27+36=63
Exploring Operation: 58-27=31, Resulting Numbers: [36, 31]
Generated Node #0,0,1: 53:[36, 31] Operation: 58-27=31
Moving to Node #0,0,0
Current State: 53:[58, 63], Operations: ['60-2=58', '27+36=63']
Exploring Operation: 63-58=5, Resulting Numbers: [5]
5,53 unequal: No Solution
Exploring Operation: 58+63=121, Resulting Numbers: [121]
121,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[36, 31], Operations: ['60-2=58', '58-27=31']
Exploring Operation: 36+31=67, Resulting Numbers: [67]
67,53 unequal: No Solution
Exploring Operation: 36-31=5, Resulting Numbers: [5]
5,53 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 |
[
84,
78,
84,
85
] | 78 | [
"84-84=0",
"85*0=0",
"78+0=78"
] | Current State: 78:[84, 78, 84, 85], Operations: []
Exploring Operation: 84-84=0, Resulting Numbers: [78, 85, 0]
Generated Node #2: [78, 85, 0] from Operation: 84-84=0
Current State: 78:[78, 85, 0], Operations: ['84-84=0']
Exploring Operation: 85*0=0, Resulting Numbers: [78, 0]
Generated Node #3: [78, 0] from Operation: 85*0=0
Current State: 78:[78, 0], Operations: ['84-84=0', '85*0=0']
Exploring Operation: 78+0=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[84, 78, 84, 85], Operations: []
Exploring Operation: 85-84=1, Resulting Numbers: [78, 84, 1]
Generated Node #0,0: 78:[78, 84, 1] Operation: 85-84=1
Exploring Operation: 84/84=1, Resulting Numbers: [78, 85, 1]
Generated Node #0,1: 78:[78, 85, 1] Operation: 84/84=1
Exploring Operation: 84-84=0, Resulting Numbers: [78, 85, 0]
Generated Node #0,2: 78:[78, 85, 0] Operation: 84-84=0
Exploring Operation: 85-84=1, Resulting Numbers: [84, 78, 1]
Generated Node #0,3: 78:[84, 78, 1] Operation: 85-84=1
Exploring Operation: 84-78=6, Resulting Numbers: [84, 85, 6]
Generated Node #0,4: 78:[84, 85, 6] Operation: 84-78=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[78, 84, 1], Operations: ['85-84=1']
Exploring Operation: 84-1=83, Resulting Numbers: [78, 83]
Generated Node #0,0,0: 78:[78, 83] Operation: 84-1=83
Exploring Operation: 84-78=6, Resulting Numbers: [1, 6]
Generated Node #0,0,1: 78:[1, 6] Operation: 84-78=6
Exploring Operation: 84*1=84, Resulting Numbers: [78, 84]
Generated Node #0,0,2: 78:[78, 84] Operation: 84*1=84
Exploring Operation: 78*1=78, Resulting Numbers: [84, 78]
Generated Node #0,0,3: 78:[84, 78] Operation: 78*1=78
Exploring Operation: 78/1=78, Resulting Numbers: [84, 78]
Generated Node #0,0,4: 78:[84, 78] Operation: 78/1=78
Moving to Node #0,0,1
Current State: 78:[1, 6], Operations: ['85-84=1', '84-78=6']
Exploring Operation: 6-1=5, Resulting Numbers: [5]
5,78 unequal: No Solution
Exploring Operation: 6/1=6, Resulting Numbers: [6]
6,78 unequal: No Solution
Exploring Operation: 1*6=6, Resulting Numbers: [6]
6,78 unequal: No Solution
Exploring Operation: 1+6=7, Resulting Numbers: [7]
7,78 unequal: No Solution
Moving to Node #0,0,0
Current State: 78:[78, 83], Operations: ['85-84=1', '84-1=83']
Exploring Operation: 78*83=6474, Resulting Numbers: [6474]
6474,78 unequal: No Solution
Exploring Operation: 83-78=5, Resulting Numbers: [5]
5,78 unequal: No Solution
Exploring Operation: 78+83=161, Resulting Numbers: [161]
161,78 unequal: No Solution
Moving to Node #0,0,2
Current State: 78:[78, 84], Operations: ['85-84=1', '84*1=84']
Exploring Operation: 84-78=6, Resulting Numbers: [6]
6,78 unequal: No Solution
Exploring Operation: 78*84=6552, Resulting Numbers: [6552]
6552,78 unequal: No Solution
Exploring Operation: 78+84=162, Resulting Numbers: [162]
162,78 unequal: No Solution
Moving to Node #0,0,3
Current State: 78:[84, 78], Operations: ['85-84=1', '78*1=78']
Exploring Operation: 84*78=6552, Resulting Numbers: [6552]
6552,78 unequal: No Solution
Exploring Operation: 84-78=6, Resulting Numbers: [6]
6,78 unequal: No Solution
Exploring Operation: 84+78=162, Resulting Numbers: [162]
162,78 unequal: No Solution
Moving to Node #0,0,4
Current State: 78:[84, 78], Operations: ['85-84=1', '78/1=78']
Exploring Operation: 84-78=6, Resulting Numbers: [6]
6,78 unequal: No Solution
Exploring Operation: 84+78=162, Resulting Numbers: [162]
162,78 unequal: No Solution
Exploring Operation: 84*78=6552, Resulting Numbers: [6552]
6552,78 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 #0,3
Current State: 78:[84, 78, 1], Operations: ['85-84=1']
Exploring Operation: 84-1=83, Resulting Numbers: [78, 83]
Generated Node #0,3,0: 78:[78, 83] Operation: 84-1=83
Exploring Operation: 84*1=84, Resulting Numbers: [78, 84]
Generated Node #0,3,1: 78:[78, 84] Operation: 84*1=84
Exploring Operation: 84-78=6, Resulting Numbers: [1, 6]
Generated Node #0,3,2: 78:[1, 6] Operation: 84-78=6
Exploring Operation: 84/1=84, Resulting Numbers: [78, 84]
Generated Node #0,3,3: 78:[78, 84] Operation: 84/1=84
Exploring Operation: 78*1=78, Resulting Numbers: [84, 78]
Generated Node #0,3,4: 78:[84, 78] Operation: 78*1=78
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 78:[1, 6], Operations: ['85-84=1', '84-78=6']
Exploring Operation: 1*6=6, Resulting Numbers: [6]
6,78 unequal: No Solution
Exploring Operation: 6-1=5, Resulting Numbers: [5]
5,78 unequal: No Solution
Exploring Operation: 6/1=6, Resulting Numbers: [6]
6,78 unequal: No Solution
Exploring Operation: 1+6=7, Resulting Numbers: [7]
7,78 unequal: No Solution
No 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: 78:[78, 83], Operations: ['85-84=1', '84-1=83']
Exploring Operation: 78+83=161, Resulting Numbers: [161]
161,78 unequal: No Solution
Exploring Operation: 78*83=6474, Resulting Numbers: [6474]
6474,78 unequal: No Solution
Exploring Operation: 83-78=5, Resulting Numbers: [5]
5,78 unequal: No Solution
No 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: 78:[78, 84], Operations: ['85-84=1', '84*1=84']
Exploring Operation: 78*84=6552, Resulting Numbers: [6552]
6552,78 unequal: No Solution
Exploring Operation: 84-78=6, Resulting Numbers: [6]
6,78 unequal: No Solution
Exploring Operation: 78+84=162, Resulting Numbers: [162]
162,78 unequal: No Solution
No 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: 78:[78, 84], Operations: ['85-84=1', '84/1=84']
Exploring Operation: 78+84=162, Resulting Numbers: [162]
162,78 unequal: No Solution
Exploring Operation: 84-78=6, Resulting Numbers: [6]
6,78 unequal: No Solution
Exploring Operation: 78*84=6552, Resulting Numbers: [6552]
6552,78 unequal: No Solution
No 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: 78:[84, 78], Operations: ['85-84=1', '78*1=78']
Exploring Operation: 84*78=6552, Resulting Numbers: [6552]
6552,78 unequal: No Solution
Exploring Operation: 84-78=6, Resulting Numbers: [6]
6,78 unequal: No Solution
Exploring Operation: 84+78=162, Resulting Numbers: [162]
162,78 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: 78:[78, 85, 1], Operations: ['84/84=1']
Exploring Operation: 85-78=7, Resulting Numbers: [1, 7]
Generated Node #0,1,0: 78:[1, 7] Operation: 85-78=7
Exploring Operation: 78*1=78, Resulting Numbers: [85, 78]
Generated Node #0,1,1: 78:[85, 78] Operation: 78*1=78
Exploring Operation: 85*1=85, Resulting Numbers: [78, 85]
Generated Node #0,1,2: 78:[78, 85] Operation: 85*1=85
Exploring Operation: 78/1=78, Resulting Numbers: [85, 78]
Generated Node #0,1,3: 78:[85, 78] Operation: 78/1=78
Exploring Operation: 85-1=84, Resulting Numbers: [78, 84]
Generated Node #0,1,4: 78:[78, 84] Operation: 85-1=84
Moving to Node #0,1,0
Current State: 78:[1, 7], Operations: ['84/84=1', '85-78=7']
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,78 unequal: No Solution
Exploring Operation: 1+7=8, Resulting Numbers: [8]
8,78 unequal: No Solution
Exploring Operation: 1*7=7, Resulting Numbers: [7]
7,78 unequal: No Solution
Exploring Operation: 7/1=7, Resulting Numbers: [7]
7,78 unequal: No Solution
Moving to Node #0,1,4
Current State: 78:[78, 84], Operations: ['84/84=1', '85-1=84']
Exploring Operation: 84-78=6, Resulting Numbers: [6]
6,78 unequal: No Solution
Exploring Operation: 78+84=162, Resulting Numbers: [162]
162,78 unequal: No Solution
Exploring Operation: 78*84=6552, Resulting Numbers: [6552]
6552,78 unequal: No Solution
Moving to Node #0,1,1
Current State: 78:[85, 78], Operations: ['84/84=1', '78*1=78']
Exploring Operation: 85-78=7, Resulting Numbers: [7]
7,78 unequal: No Solution
Exploring Operation: 85+78=163, Resulting Numbers: [163]
163,78 unequal: No Solution
Exploring Operation: 85*78=6630, Resulting Numbers: [6630]
6630,78 unequal: No Solution
Moving to Node #0,1,2
Current State: 78:[78, 85], Operations: ['84/84=1', '85*1=85']
Exploring Operation: 78+85=163, Resulting Numbers: [163]
163,78 unequal: No Solution
Exploring Operation: 85-78=7, Resulting Numbers: [7]
7,78 unequal: No Solution
Exploring Operation: 78*85=6630, Resulting Numbers: [6630]
6630,78 unequal: No Solution
Moving to Node #0,1,3
Current State: 78:[85, 78], Operations: ['84/84=1', '78/1=78']
Exploring Operation: 85+78=163, Resulting Numbers: [163]
163,78 unequal: No Solution
Exploring Operation: 85*78=6630, Resulting Numbers: [6630]
6630,78 unequal: No Solution
Exploring Operation: 85-78=7, Resulting Numbers: [7]
7,78 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
Current State: 78:[78, 85, 0], Operations: ['84-84=0']
Exploring Operation: 85*0=0, Resulting Numbers: [78, 0]
Generated Node #0,2,0: 78:[78, 0] Operation: 85*0=0
Exploring Operation: 85+0=85, Resulting Numbers: [78, 85]
Generated Node #0,2,1: 78:[78, 85] Operation: 85+0=85
Exploring Operation: 85-78=7, Resulting Numbers: [0, 7]
Generated Node #0,2,2: 78:[0, 7] Operation: 85-78=7
Exploring Operation: 78+0=78, Resulting Numbers: [85, 78]
Generated Node #0,2,3: 78:[85, 78] Operation: 78+0=78
Exploring Operation: 78-0=78, Resulting Numbers: [85, 78]
Generated Node #0,2,4: 78:[85, 78] Operation: 78-0=78
Moving to Node #0,2,0
Current State: 78:[78, 0], Operations: ['84-84=0', '85*0=0']
Exploring Operation: 78-0=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[84, 78, 84, 85], Operations: []
Exploring Operation: 84-84=0, Resulting Numbers: [78, 85, 0]
Generated Node #0,2: 78:[78, 85, 0] Operation: 84-84=0
Moving to Node #0,2
Current State: 78:[78, 85, 0], Operations: ['84-84=0']
Exploring Operation: 85*0=0, Resulting Numbers: [78, 0]
Generated Node #0,2,0: 78:[78, 0] Operation: 85*0=0
Moving to Node #0,2,0
Current State: 78:[78, 0], Operations: ['84-84=0', '85*0=0']
Exploring Operation: 78-0=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.932292 | hs_5 | sum_heuristic |
[
45,
23,
10,
95
] | 83 | [
"45-23=22",
"10+95=105",
"105-22=83"
] | Current State: 83:[45, 23, 10, 95], Operations: []
Exploring Operation: 45-23=22, Resulting Numbers: [10, 95, 22]
Generated Node #2: [10, 95, 22] from Operation: 45-23=22
Current State: 83:[10, 95, 22], Operations: ['45-23=22']
Exploring Operation: 10+95=105, Resulting Numbers: [22, 105]
Generated Node #3: [22, 105] from Operation: 10+95=105
Current State: 83:[22, 105], Operations: ['45-23=22', '10+95=105']
Exploring Operation: 105-22=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[45, 23, 10, 95], Operations: []
Exploring Operation: 45-10=35, Resulting Numbers: [23, 95, 35]
Generated Node #0,0: 83:[23, 95, 35] Operation: 45-10=35
Exploring Operation: 23+10=33, Resulting Numbers: [45, 95, 33]
Generated Node #0,1: 83:[45, 95, 33] Operation: 23+10=33
Exploring Operation: 45+23=68, Resulting Numbers: [10, 95, 68]
Generated Node #0,2: 83:[10, 95, 68] Operation: 45+23=68
Exploring Operation: 45+10=55, Resulting Numbers: [23, 95, 55]
Generated Node #0,3: 83:[23, 95, 55] Operation: 45+10=55
Exploring Operation: 95-10=85, Resulting Numbers: [45, 23, 85]
Generated Node #0,4: 83:[45, 23, 85] Operation: 95-10=85
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[45, 95, 33], Operations: ['23+10=33']
Exploring Operation: 45-33=12, Resulting Numbers: [95, 12]
Generated Node #0,1,0: 83:[95, 12] Operation: 45-33=12
Exploring Operation: 45+33=78, Resulting Numbers: [95, 78]
Generated Node #0,1,1: 83:[95, 78] Operation: 45+33=78
Exploring Operation: 95-33=62, Resulting Numbers: [45, 62]
Generated Node #0,1,2: 83:[45, 62] Operation: 95-33=62
Exploring Operation: 95+33=128, Resulting Numbers: [45, 128]
Generated Node #0,1,3: 83:[45, 128] Operation: 95+33=128
Exploring Operation: 95-45=50, Resulting Numbers: [33, 50]
Generated Node #0,1,4: 83:[33, 50] Operation: 95-45=50
Moving to Node #0,1,1
Current State: 83:[95, 78], Operations: ['23+10=33', '45+33=78']
Exploring Operation: 95-78=17, Resulting Numbers: [17]
17,83 unequal: No Solution
Exploring Operation: 95*78=7410, Resulting Numbers: [7410]
7410,83 unequal: No Solution
Exploring Operation: 95+78=173, Resulting Numbers: [173]
173,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[45, 62], Operations: ['23+10=33', '95-33=62']
Exploring Operation: 62-45=17, Resulting Numbers: [17]
17,83 unequal: No Solution
Exploring Operation: 45*62=2790, Resulting Numbers: [2790]
2790,83 unequal: No Solution
Exploring Operation: 45+62=107, Resulting Numbers: [107]
107,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[95, 12], Operations: ['23+10=33', '45-33=12']
Exploring Operation: 95-12=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[45, 23, 10, 95], Operations: []
Exploring Operation: 23+10=33, Resulting Numbers: [45, 95, 33]
Generated Node #0,1: 83:[45, 95, 33] Operation: 23+10=33
Moving to Node #0,1
Current State: 83:[45, 95, 33], Operations: ['23+10=33']
Exploring Operation: 45-33=12, Resulting Numbers: [95, 12]
Generated Node #0,1,0: 83:[95, 12] Operation: 45-33=12
Moving to Node #0,1,0
Current State: 83:[95, 12], Operations: ['23+10=33', '45-33=12']
Exploring Operation: 95-12=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | mult_heuristic |
[
46,
55,
31,
52
] | 18 | [
"46+55=101",
"31+52=83",
"101-83=18"
] | Current State: 18:[46, 55, 31, 52], Operations: []
Exploring Operation: 46+55=101, Resulting Numbers: [31, 52, 101]
Generated Node #2: [31, 52, 101] from Operation: 46+55=101
Current State: 18:[31, 52, 101], Operations: ['46+55=101']
Exploring Operation: 31+52=83, Resulting Numbers: [101, 83]
Generated Node #3: [101, 83] from Operation: 31+52=83
Current State: 18:[101, 83], Operations: ['46+55=101', '31+52=83']
Exploring Operation: 101-83=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[46, 55, 31, 52], Operations: []
Exploring Operation: 55-52=3, Resulting Numbers: [46, 31, 3]
Generated Node #0,0: 18:[46, 31, 3] Operation: 55-52=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[46, 31, 3], Operations: ['55-52=3']
Exploring Operation: 46-31=15, Resulting Numbers: [3, 15]
Generated Node #0,0,0: 18:[3, 15] Operation: 46-31=15
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 18:[3, 15], Operations: ['55-52=3', '46-31=15']
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[46, 55, 31, 52], Operations: []
Exploring Operation: 55-52=3, Resulting Numbers: [46, 31, 3]
Generated Node #0,0: 18:[46, 31, 3] Operation: 55-52=3
Moving to Node #0,0
Current State: 18:[46, 31, 3], Operations: ['55-52=3']
Exploring Operation: 46-31=15, Resulting Numbers: [3, 15]
Generated Node #0,0,0: 18:[3, 15] Operation: 46-31=15
Moving to Node #0,0,0
Current State: 18:[3, 15], Operations: ['55-52=3', '46-31=15']
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
50,
54,
44,
35
] | 44 | [
"50-44=6",
"54/6=9",
"35+9=44"
] | Current State: 44:[50, 54, 44, 35], Operations: []
Exploring Operation: 50-44=6, Resulting Numbers: [54, 35, 6]
Generated Node #2: [54, 35, 6] from Operation: 50-44=6
Current State: 44:[54, 35, 6], Operations: ['50-44=6']
Exploring Operation: 54/6=9, Resulting Numbers: [35, 9]
Generated Node #3: [35, 9] from Operation: 54/6=9
Current State: 44:[35, 9], Operations: ['50-44=6', '54/6=9']
Exploring Operation: 35+9=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[50, 54, 44, 35], Operations: []
Exploring Operation: 54-35=19, Resulting Numbers: [50, 44, 19]
Generated Node #0,0: 44:[50, 44, 19] Operation: 54-35=19
Exploring Operation: 50-35=15, Resulting Numbers: [54, 44, 15]
Generated Node #0,1: 44:[54, 44, 15] Operation: 50-35=15
Exploring Operation: 54-50=4, Resulting Numbers: [44, 35, 4]
Generated Node #0,2: 44:[44, 35, 4] Operation: 54-50=4
Moving to Node #0,0
Current State: 44:[50, 44, 19], Operations: ['54-35=19']
Exploring Operation: 50-44=6, Resulting Numbers: [19, 6]
Generated Node #0,0,0: 44:[19, 6] Operation: 50-44=6
Exploring Operation: 50-19=31, Resulting Numbers: [44, 31]
Generated Node #0,0,1: 44:[44, 31] Operation: 50-19=31
Exploring Operation: 44-19=25, Resulting Numbers: [50, 25]
Generated Node #0,0,2: 44:[50, 25] Operation: 44-19=25
Moving to Node #0,2
Current State: 44:[44, 35, 4], Operations: ['54-50=4']
Exploring Operation: 44/4=11, Resulting Numbers: [35, 11]
Generated Node #0,2,0: 44:[35, 11] Operation: 44/4=11
Exploring Operation: 44-35=9, Resulting Numbers: [4, 9]
Generated Node #0,2,1: 44:[4, 9] Operation: 44-35=9
Exploring Operation: 35+4=39, Resulting Numbers: [44, 39]
Generated Node #0,2,2: 44:[44, 39] Operation: 35+4=39
Moving to Node #0,1
Current State: 44:[54, 44, 15], Operations: ['50-35=15']
Exploring Operation: 54-44=10, Resulting Numbers: [15, 10]
Generated Node #0,1,0: 44:[15, 10] Operation: 54-44=10
Exploring Operation: 44-15=29, Resulting Numbers: [54, 29]
Generated Node #0,1,1: 44:[54, 29] Operation: 44-15=29
Exploring Operation: 54-15=39, Resulting Numbers: [44, 39]
Generated Node #0,1,2: 44:[44, 39] Operation: 54-15=39
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 44:[15, 10], Operations: ['50-35=15', '54-44=10']
Exploring Operation: 15*10=150, Resulting Numbers: [150]
150,44 unequal: No Solution
Exploring Operation: 15+10=25, Resulting Numbers: [25]
25,44 unequal: No Solution
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 44:[44, 39], Operations: ['50-35=15', '54-15=39']
Exploring Operation: 44*39=1716, Resulting Numbers: [1716]
1716,44 unequal: No Solution
Exploring Operation: 44-39=5, Resulting Numbers: [5]
5,44 unequal: No Solution
Exploring Operation: 44+39=83, Resulting Numbers: [83]
83,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 44:[54, 29], Operations: ['50-35=15', '44-15=29']
Exploring Operation: 54-29=25, Resulting Numbers: [25]
25,44 unequal: No Solution
Exploring Operation: 54+29=83, Resulting Numbers: [83]
83,44 unequal: No Solution
Exploring Operation: 54*29=1566, Resulting Numbers: [1566]
1566,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 44:[4, 9], Operations: ['54-50=4', '44-35=9']
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,44 unequal: No Solution
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,44 unequal: No Solution
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,44 unequal: No Solution
Moving to Node #0,0,0
Current State: 44:[19, 6], Operations: ['54-35=19', '50-44=6']
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,44 unequal: No Solution
Exploring Operation: 19*6=114, Resulting Numbers: [114]
114,44 unequal: No Solution
Exploring Operation: 19+6=25, Resulting Numbers: [25]
25,44 unequal: No Solution
Moving to Node #0,2,2
Current State: 44:[44, 39], Operations: ['54-50=4', '35+4=39']
Exploring Operation: 44+39=83, Resulting Numbers: [83]
83,44 unequal: No Solution
Exploring Operation: 44-39=5, Resulting Numbers: [5]
5,44 unequal: No Solution
Exploring Operation: 44*39=1716, Resulting Numbers: [1716]
1716,44 unequal: No Solution
Moving to Node #0,0,2
Current State: 44:[50, 25], Operations: ['54-35=19', '44-19=25']
Exploring Operation: 50/25=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Exploring Operation: 50-25=25, Resulting Numbers: [25]
25,44 unequal: No Solution
Exploring Operation: 50+25=75, Resulting Numbers: [75]
75,44 unequal: No Solution
Moving to Node #0,0,1
Current State: 44:[44, 31], Operations: ['54-35=19', '50-19=31']
Exploring Operation: 44+31=75, Resulting Numbers: [75]
75,44 unequal: No Solution
Exploring Operation: 44-31=13, Resulting Numbers: [13]
13,44 unequal: No Solution
Exploring Operation: 44*31=1364, Resulting Numbers: [1364]
1364,44 unequal: No Solution
Moving to Node #0,2,0
Current State: 44:[35, 11], Operations: ['54-50=4', '44/4=11']
Exploring Operation: 35*11=385, Resulting Numbers: [385]
385,44 unequal: No Solution
Exploring Operation: 35-11=24, Resulting Numbers: [24]
24,44 unequal: No Solution
Exploring Operation: 35+11=46, Resulting Numbers: [46]
46,44 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
75,
22,
93,
14
] | 26 | [
"75-22=53",
"93-14=79",
"79-53=26"
] | Current State: 26:[75, 22, 93, 14], Operations: []
Exploring Operation: 75-22=53, Resulting Numbers: [93, 14, 53]
Generated Node #2: [93, 14, 53] from Operation: 75-22=53
Current State: 26:[93, 14, 53], Operations: ['75-22=53']
Exploring Operation: 93-14=79, Resulting Numbers: [53, 79]
Generated Node #3: [53, 79] from Operation: 93-14=79
Current State: 26:[53, 79], Operations: ['75-22=53', '93-14=79']
Exploring Operation: 79-53=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[75, 22, 93, 14], Operations: []
Exploring Operation: 75-22=53, Resulting Numbers: [93, 14, 53]
Generated Node #0,0: 26:[93, 14, 53] Operation: 75-22=53
Exploring Operation: 93-75=18, Resulting Numbers: [22, 14, 18]
Generated Node #0,1: 26:[22, 14, 18] Operation: 93-75=18
Moving to Node #0,1
Current State: 26:[22, 14, 18], Operations: ['93-75=18']
Exploring Operation: 22-18=4, Resulting Numbers: [14, 4]
Generated Node #0,1,0: 26:[14, 4] Operation: 22-18=4
Exploring Operation: 18-14=4, Resulting Numbers: [22, 4]
Generated Node #0,1,1: 26:[22, 4] Operation: 18-14=4
Moving to Node #0,0
Current State: 26:[93, 14, 53], Operations: ['75-22=53']
Exploring Operation: 93-14=79, Resulting Numbers: [53, 79]
Generated Node #0,0,0: 26:[53, 79] Operation: 93-14=79
Exploring Operation: 93-53=40, Resulting Numbers: [14, 40]
Generated Node #0,0,1: 26:[14, 40] Operation: 93-53=40
Moving to Node #0,1,0
Current State: 26:[14, 4], Operations: ['93-75=18', '22-18=4']
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,26 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,26 unequal: No Solution
Moving to Node #0,1,1
Current State: 26:[22, 4], Operations: ['93-75=18', '18-14=4']
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,26 unequal: No Solution
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[75, 22, 93, 14], Operations: []
Exploring Operation: 93-75=18, Resulting Numbers: [22, 14, 18]
Generated Node #0,1: 26:[22, 14, 18] Operation: 93-75=18
Moving to Node #0,1
Current State: 26:[22, 14, 18], Operations: ['93-75=18']
Exploring Operation: 18-14=4, Resulting Numbers: [22, 4]
Generated Node #0,1,1: 26:[22, 4] Operation: 18-14=4
Moving to Node #0,1,1
Current State: 26:[22, 4], Operations: ['93-75=18', '18-14=4']
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 0.987847 | hs_2 | mult_heuristic |
[
50,
76,
87,
4
] | 17 | [
"76-50=26",
"4*26=104",
"104-87=17"
] | Current State: 17:[50, 76, 87, 4], Operations: []
Exploring Operation: 76-50=26, Resulting Numbers: [87, 4, 26]
Generated Node #2: [87, 4, 26] from Operation: 76-50=26
Current State: 17:[87, 4, 26], Operations: ['76-50=26']
Exploring Operation: 4*26=104, Resulting Numbers: [87, 104]
Generated Node #3: [87, 104] from Operation: 4*26=104
Current State: 17:[87, 104], Operations: ['76-50=26', '4*26=104']
Exploring Operation: 104-87=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[50, 76, 87, 4], Operations: []
Exploring Operation: 87-76=11, Resulting Numbers: [50, 4, 11]
Generated Node #0,0: 17:[50, 4, 11] Operation: 87-76=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[50, 4, 11], Operations: ['87-76=11']
Exploring Operation: 50-4=46, Resulting Numbers: [11, 46]
Generated Node #0,0,0: 17:[11, 46] Operation: 50-4=46
Moving to Node #0,0,0
Current State: 17:[11, 46], Operations: ['87-76=11', '50-4=46']
Exploring Operation: 46-11=35, Resulting Numbers: [35]
35,17 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 |
[
3,
4,
10,
17
] | 99 | [
"10-4=6",
"17*6=102",
"102-3=99"
] | Current State: 99:[3, 4, 10, 17], Operations: []
Exploring Operation: 10-4=6, Resulting Numbers: [3, 17, 6]
Generated Node #2: [3, 17, 6] from Operation: 10-4=6
Current State: 99:[3, 17, 6], Operations: ['10-4=6']
Exploring Operation: 17*6=102, Resulting Numbers: [3, 102]
Generated Node #3: [3, 102] from Operation: 17*6=102
Current State: 99:[3, 102], Operations: ['10-4=6', '17*6=102']
Exploring Operation: 102-3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[3, 4, 10, 17], Operations: []
Exploring Operation: 17-10=7, Resulting Numbers: [3, 4, 7]
Generated Node #0,0: 99:[3, 4, 7] Operation: 17-10=7
Exploring Operation: 17-4=13, Resulting Numbers: [3, 10, 13]
Generated Node #0,1: 99:[3, 10, 13] Operation: 17-4=13
Exploring Operation: 10+17=27, Resulting Numbers: [3, 4, 27]
Generated Node #0,2: 99:[3, 4, 27] Operation: 10+17=27
Exploring Operation: 17-3=14, Resulting Numbers: [4, 10, 14]
Generated Node #0,3: 99:[4, 10, 14] Operation: 17-3=14
Exploring Operation: 3*4=12, Resulting Numbers: [10, 17, 12]
Generated Node #0,4: 99:[10, 17, 12] Operation: 3*4=12
Moving to Node #0,0
Current State: 99:[3, 4, 7], Operations: ['17-10=7']
Exploring Operation: 7-3=4, Resulting Numbers: [4, 4]
Generated Node #0,0,0: 99:[4, 4] Operation: 7-3=4
Exploring Operation: 4+7=11, Resulting Numbers: [3, 11]
Generated Node #0,0,1: 99:[3, 11] Operation: 4+7=11
Exploring Operation: 3+7=10, Resulting Numbers: [4, 10]
Generated Node #0,0,2: 99:[4, 10] Operation: 3+7=10
Exploring Operation: 7-4=3, Resulting Numbers: [3, 3]
Generated Node #0,0,3: 99:[3, 3] Operation: 7-4=3
Exploring Operation: 3*4=12, Resulting Numbers: [7, 12]
Generated Node #0,0,4: 99:[7, 12] Operation: 3*4=12
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 99:[3, 11], Operations: ['17-10=7', '4+7=11']
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,99 unequal: No Solution
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,99 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 99:[3, 3], Operations: ['17-10=7', '7-4=3']
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,99 unequal: No Solution
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,99 unequal: No Solution
Exploring Operation: 3-3=0, Resulting Numbers: [0]
0,99 unequal: No Solution
Exploring Operation: 3*3=9, Resulting Numbers: [9]
9,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 99:[4, 4], Operations: ['17-10=7', '7-3=4']
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,99 unequal: No Solution
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,99 unequal: No Solution
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,99 unequal: No Solution
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 99:[4, 10], Operations: ['17-10=7', '3+7=10']
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,99 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,99 unequal: No Solution
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 99:[7, 12], Operations: ['17-10=7', '3*4=12']
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,99 unequal: No Solution
Exploring Operation: 7+12=19, Resulting Numbers: [19]
19,99 unequal: No Solution
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,99 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: 99:[3, 10, 13], Operations: ['17-4=13']
Exploring Operation: 3+10=13, Resulting Numbers: [13, 13]
Generated Node #0,1,0: 99:[13, 13] Operation: 3+10=13
Exploring Operation: 13-10=3, Resulting Numbers: [3, 3]
Generated Node #0,1,1: 99:[3, 3] Operation: 13-10=3
Exploring Operation: 13-3=10, Resulting Numbers: [10, 10]
Generated Node #0,1,2: 99:[10, 10] Operation: 13-3=10
Exploring Operation: 3*10=30, Resulting Numbers: [13, 30]
Generated Node #0,1,3: 99:[13, 30] Operation: 3*10=30
Exploring Operation: 10-3=7, Resulting Numbers: [13, 7]
Generated Node #0,1,4: 99:[13, 7] Operation: 10-3=7
Moving to Node #0,3
Current State: 99:[4, 10, 14], Operations: ['17-3=14']
Exploring Operation: 14-10=4, Resulting Numbers: [4, 4]
Generated Node #0,3,0: 99:[4, 4] Operation: 14-10=4
Exploring Operation: 4+10=14, Resulting Numbers: [14, 14]
Generated Node #0,3,1: 99:[14, 14] Operation: 4+10=14
Exploring Operation: 10-4=6, Resulting Numbers: [14, 6]
Generated Node #0,3,2: 99:[14, 6] Operation: 10-4=6
Exploring Operation: 4+14=18, Resulting Numbers: [10, 18]
Generated Node #0,3,3: 99:[10, 18] Operation: 4+14=18
Exploring Operation: 14-4=10, Resulting Numbers: [10, 10]
Generated Node #0,3,4: 99:[10, 10] Operation: 14-4=10
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 99:[4, 4], Operations: ['17-3=14', '14-10=4']
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,99 unequal: No Solution
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,99 unequal: No Solution
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,99 unequal: No Solution
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 99:[10, 10], Operations: ['17-3=14', '14-4=10']
Exploring Operation: 10/10=1, Resulting Numbers: [1]
1,99 unequal: No Solution
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,99 unequal: No Solution
Exploring Operation: 10-10=0, Resulting Numbers: [0]
0,99 unequal: No Solution
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 99:[14, 14], Operations: ['17-3=14', '4+10=14']
Exploring Operation: 14-14=0, Resulting Numbers: [0]
0,99 unequal: No Solution
Exploring Operation: 14/14=1, Resulting Numbers: [1]
1,99 unequal: No Solution
Exploring Operation: 14+14=28, Resulting Numbers: [28]
28,99 unequal: No Solution
Exploring Operation: 14*14=196, Resulting Numbers: [196]
196,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 99:[14, 6], Operations: ['17-3=14', '10-4=6']
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,99 unequal: No Solution
Exploring Operation: 14+6=20, Resulting Numbers: [20]
20,99 unequal: No Solution
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 99:[10, 18], Operations: ['17-3=14', '4+14=18']
Exploring Operation: 10*18=180, Resulting Numbers: [180]
180,99 unequal: No Solution
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,99 unequal: No Solution
Exploring Operation: 10+18=28, Resulting Numbers: [28]
28,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 99:[3, 4, 27], Operations: ['10+17=27']
Exploring Operation: 3+27=30, Resulting Numbers: [4, 30]
Generated Node #0,2,0: 99:[4, 30] Operation: 3+27=30
Exploring Operation: 3*4=12, Resulting Numbers: [27, 12]
Generated Node #0,2,1: 99:[27, 12] Operation: 3*4=12
Exploring Operation: 3+4=7, Resulting Numbers: [27, 7]
Generated Node #0,2,2: 99:[27, 7] Operation: 3+4=7
Exploring Operation: 4+27=31, Resulting Numbers: [3, 31]
Generated Node #0,2,3: 99:[3, 31] Operation: 4+27=31
Exploring Operation: 27/3=9, Resulting Numbers: [4, 9]
Generated Node #0,2,4: 99:[4, 9] Operation: 27/3=9
Moving to Node #0,4
Current State: 99:[10, 17, 12], Operations: ['3*4=12']
Exploring Operation: 10+17=27, Resulting Numbers: [12, 27]
Generated Node #0,4,0: 99:[12, 27] Operation: 10+17=27
Exploring Operation: 17+12=29, Resulting Numbers: [10, 29]
Generated Node #0,4,1: 99:[10, 29] Operation: 17+12=29
Exploring Operation: 17-12=5, Resulting Numbers: [10, 5]
Generated Node #0,4,2: 99:[10, 5] Operation: 17-12=5
Exploring Operation: 12-10=2, Resulting Numbers: [17, 2]
Generated Node #0,4,3: 99:[17, 2] Operation: 12-10=2
Exploring Operation: 17-10=7, Resulting Numbers: [12, 7]
Generated Node #0,4,4: 99:[12, 7] Operation: 17-10=7
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 99:[10, 5], Operations: ['3*4=12', '17-12=5']
Exploring Operation: 10+5=15, Resulting Numbers: [15]
15,99 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,99 unequal: No Solution
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,99 unequal: No Solution
Exploring Operation: 10*5=50, Resulting Numbers: [50]
50,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 99:[12, 7], Operations: ['3*4=12', '17-10=7']
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,99 unequal: No Solution
Exploring Operation: 12+7=19, Resulting Numbers: [19]
19,99 unequal: No Solution
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 99:[10, 29], Operations: ['3*4=12', '17+12=29']
Exploring Operation: 10+29=39, Resulting Numbers: [39]
39,99 unequal: No Solution
Exploring Operation: 10*29=290, Resulting Numbers: [290]
290,99 unequal: No Solution
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 99:[12, 27], Operations: ['3*4=12', '10+17=27']
Exploring Operation: 12*27=324, Resulting Numbers: [324]
324,99 unequal: No Solution
Exploring Operation: 12+27=39, Resulting Numbers: [39]
39,99 unequal: No Solution
Exploring Operation: 27-12=15, Resulting Numbers: [15]
15,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 99:[17, 2], Operations: ['3*4=12', '12-10=2']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,99 unequal: No Solution
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,99 unequal: No Solution
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 99:[3, 3], Operations: ['17-4=13', '13-10=3']
Exploring Operation: 3*3=9, Resulting Numbers: [9]
9,99 unequal: No Solution
Exploring Operation: 3-3=0, Resulting Numbers: [0]
0,99 unequal: No Solution
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,99 unequal: No Solution
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,99 unequal: No Solution
Moving to Node #0,2,4
Current State: 99:[4, 9], Operations: ['10+17=27', '27/3=9']
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,99 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,99 unequal: No Solution
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,99 unequal: No Solution
Moving to Node #0,2,3
Current State: 99:[3, 31], Operations: ['10+17=27', '4+27=31']
Exploring Operation: 3+31=34, Resulting Numbers: [34]
34,99 unequal: No Solution
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,99 unequal: No Solution
Exploring Operation: 3*31=93, Resulting Numbers: [93]
93,99 unequal: No Solution
Moving to Node #0,1,2
Current State: 99:[10, 10], Operations: ['17-4=13', '13-3=10']
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,99 unequal: No Solution
Exploring Operation: 10/10=1, Resulting Numbers: [1]
1,99 unequal: No Solution
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,99 unequal: No Solution
Exploring Operation: 10-10=0, Resulting Numbers: [0]
0,99 unequal: No Solution
Moving to Node #0,1,0
Current State: 99:[13, 13], Operations: ['17-4=13', '3+10=13']
Exploring Operation: 13*13=169, Resulting Numbers: [169]
169,99 unequal: No Solution
Exploring Operation: 13-13=0, Resulting Numbers: [0]
0,99 unequal: No Solution
Exploring Operation: 13/13=1, Resulting Numbers: [1]
1,99 unequal: No Solution
Exploring Operation: 13+13=26, Resulting Numbers: [26]
26,99 unequal: No Solution
Moving to Node #0,1,4
Current State: 99:[13, 7], Operations: ['17-4=13', '10-3=7']
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,99 unequal: No Solution
Exploring Operation: 13+7=20, Resulting Numbers: [20]
20,99 unequal: No Solution
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,99 unequal: No Solution
Moving to Node #0,2,0
Current State: 99:[4, 30], Operations: ['10+17=27', '3+27=30']
Exploring Operation: 4*30=120, Resulting Numbers: [120]
120,99 unequal: No Solution
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,99 unequal: No Solution
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,99 unequal: No Solution
Moving to Node #0,1,3
Current State: 99:[13, 30], Operations: ['17-4=13', '3*10=30']
Exploring Operation: 13*30=390, Resulting Numbers: [390]
390,99 unequal: No Solution
Exploring Operation: 13+30=43, Resulting Numbers: [43]
43,99 unequal: No Solution
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,99 unequal: No Solution
Moving to Node #0,2,1
Current State: 99:[27, 12], Operations: ['10+17=27', '3*4=12']
Exploring Operation: 27+12=39, Resulting Numbers: [39]
39,99 unequal: No Solution
Exploring Operation: 27-12=15, Resulting Numbers: [15]
15,99 unequal: No Solution
Exploring Operation: 27*12=324, Resulting Numbers: [324]
324,99 unequal: No Solution
Moving to Node #0,2,2
Current State: 99:[27, 7], Operations: ['10+17=27', '3+4=7']
Exploring Operation: 27*7=189, Resulting Numbers: [189]
189,99 unequal: No Solution
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,99 unequal: No Solution
Exploring Operation: 27+7=34, Resulting Numbers: [34]
34,99 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
70,
40,
10,
6
] | 41 | [
"70/10=7",
"40-6=34",
"7+34=41"
] | Current State: 41:[70, 40, 10, 6], Operations: []
Exploring Operation: 70/10=7, Resulting Numbers: [40, 6, 7]
Generated Node #2: [40, 6, 7] from Operation: 70/10=7
Current State: 41:[40, 6, 7], Operations: ['70/10=7']
Exploring Operation: 40-6=34, Resulting Numbers: [7, 34]
Generated Node #3: [7, 34] from Operation: 40-6=34
Current State: 41:[7, 34], Operations: ['70/10=7', '40-6=34']
Exploring Operation: 7+34=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[70, 40, 10, 6], Operations: []
Exploring Operation: 70-10=60, Resulting Numbers: [40, 6, 60]
Generated Node #0,0: 41:[40, 6, 60] Operation: 70-10=60
Exploring Operation: 10+6=16, Resulting Numbers: [70, 40, 16]
Generated Node #0,1: 41:[70, 40, 16] Operation: 10+6=16
Exploring Operation: 70-6=64, Resulting Numbers: [40, 10, 64]
Generated Node #0,2: 41:[40, 10, 64] Operation: 70-6=64
Exploring Operation: 10*6=60, Resulting Numbers: [70, 40, 60]
Generated Node #0,3: 41:[70, 40, 60] Operation: 10*6=60
Moving to Node #0,3
Current State: 41:[70, 40, 60], Operations: ['10*6=60']
Exploring Operation: 70+40=110, Resulting Numbers: [60, 110]
Generated Node #0,3,0: 41:[60, 110] Operation: 70+40=110
Exploring Operation: 60-40=20, Resulting Numbers: [70, 20]
Generated Node #0,3,1: 41:[70, 20] Operation: 60-40=20
Exploring Operation: 70-40=30, Resulting Numbers: [60, 30]
Generated Node #0,3,2: 41:[60, 30] Operation: 70-40=30
Exploring Operation: 70-60=10, Resulting Numbers: [40, 10]
Generated Node #0,3,3: 41:[40, 10] Operation: 70-60=10
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 41:[60, 30], Operations: ['10*6=60', '70-40=30']
Exploring Operation: 60/30=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Exploring Operation: 60-30=30, Resulting Numbers: [30]
30,41 unequal: No Solution
Exploring Operation: 60+30=90, Resulting Numbers: [90]
90,41 unequal: No Solution
Exploring Operation: 60*30=1800, Resulting Numbers: [1800]
1800,41 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 #0,3,3
Current State: 41:[40, 10], Operations: ['10*6=60', '70-60=10']
Exploring Operation: 40+10=50, Resulting Numbers: [50]
50,41 unequal: No Solution
Exploring Operation: 40*10=400, Resulting Numbers: [400]
400,41 unequal: No Solution
Exploring Operation: 40-10=30, Resulting Numbers: [30]
30,41 unequal: No Solution
Exploring Operation: 40/10=4, Resulting Numbers: [4]
4,41 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 #0,3,1
Current State: 41:[70, 20], Operations: ['10*6=60', '60-40=20']
Exploring Operation: 70*20=1400, Resulting Numbers: [1400]
1400,41 unequal: No Solution
Exploring Operation: 70-20=50, Resulting Numbers: [50]
50,41 unequal: No Solution
Exploring Operation: 70+20=90, Resulting Numbers: [90]
90,41 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 #0,3,0
Current State: 41:[60, 110], Operations: ['10*6=60', '70+40=110']
Exploring Operation: 60+110=170, Resulting Numbers: [170]
170,41 unequal: No Solution
Exploring Operation: 110-60=50, Resulting Numbers: [50]
50,41 unequal: No Solution
Exploring Operation: 60*110=6600, Resulting Numbers: [6600]
6600,41 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: 41:[70, 40, 16], Operations: ['10+6=16']
Exploring Operation: 70+16=86, Resulting Numbers: [40, 86]
Generated Node #0,1,0: 41:[40, 86] Operation: 70+16=86
Exploring Operation: 40+16=56, Resulting Numbers: [70, 56]
Generated Node #0,1,1: 41:[70, 56] Operation: 40+16=56
Exploring Operation: 70-16=54, Resulting Numbers: [40, 54]
Generated Node #0,1,2: 41:[40, 54] Operation: 70-16=54
Exploring Operation: 70-40=30, Resulting Numbers: [16, 30]
Generated Node #0,1,3: 41:[16, 30] Operation: 70-40=30
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 41:[40, 54], Operations: ['10+6=16', '70-16=54']
Exploring Operation: 40+54=94, Resulting Numbers: [94]
94,41 unequal: No Solution
Exploring Operation: 54-40=14, Resulting Numbers: [14]
14,41 unequal: No Solution
Exploring Operation: 40*54=2160, Resulting Numbers: [2160]
2160,41 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 #0,1,3
Current State: 41:[16, 30], Operations: ['10+6=16', '70-40=30']
Exploring Operation: 16+30=46, Resulting Numbers: [46]
46,41 unequal: No Solution
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,41 unequal: No Solution
Exploring Operation: 16*30=480, Resulting Numbers: [480]
480,41 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:[70, 56], Operations: ['10+6=16', '40+16=56']
Exploring Operation: 70+56=126, Resulting Numbers: [126]
126,41 unequal: No Solution
Exploring Operation: 70*56=3920, Resulting Numbers: [3920]
3920,41 unequal: No Solution
Exploring Operation: 70-56=14, Resulting Numbers: [14]
14,41 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 #0,1,0
Current State: 41:[40, 86], Operations: ['10+6=16', '70+16=86']
Exploring Operation: 40+86=126, Resulting Numbers: [126]
126,41 unequal: No Solution
Exploring Operation: 86-40=46, Resulting Numbers: [46]
46,41 unequal: No Solution
Exploring Operation: 40*86=3440, Resulting Numbers: [3440]
3440,41 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: 41:[40, 6, 60], Operations: ['70-10=60']
Exploring Operation: 40+6=46, Resulting Numbers: [60, 46]
Generated Node #0,0,0: 41:[60, 46] Operation: 40+6=46
Exploring Operation: 6+60=66, Resulting Numbers: [40, 66]
Generated Node #0,0,1: 41:[40, 66] Operation: 6+60=66
Exploring Operation: 60-6=54, Resulting Numbers: [40, 54]
Generated Node #0,0,2: 41:[40, 54] Operation: 60-6=54
Exploring Operation: 40-6=34, Resulting Numbers: [60, 34]
Generated Node #0,0,3: 41:[60, 34] Operation: 40-6=34
Moving to Node #0,2
Current State: 41:[40, 10, 64], Operations: ['70-6=64']
Exploring Operation: 40-10=30, Resulting Numbers: [64, 30]
Generated Node #0,2,0: 41:[64, 30] Operation: 40-10=30
Exploring Operation: 64-10=54, Resulting Numbers: [40, 54]
Generated Node #0,2,1: 41:[40, 54] Operation: 64-10=54
Exploring Operation: 40+10=50, Resulting Numbers: [64, 50]
Generated Node #0,2,2: 41:[64, 50] Operation: 40+10=50
Exploring Operation: 10+64=74, Resulting Numbers: [40, 74]
Generated Node #0,2,3: 41:[40, 74] Operation: 10+64=74
Moving to Node #0,0,2
Current State: 41:[40, 54], Operations: ['70-10=60', '60-6=54']
Exploring Operation: 40+54=94, Resulting Numbers: [94]
94,41 unequal: No Solution
Exploring Operation: 40*54=2160, Resulting Numbers: [2160]
2160,41 unequal: No Solution
Exploring Operation: 54-40=14, Resulting Numbers: [14]
14,41 unequal: No Solution
Moving to Node #0,2,1
Current State: 41:[40, 54], Operations: ['70-6=64', '64-10=54']
Exploring Operation: 40+54=94, Resulting Numbers: [94]
94,41 unequal: No Solution
Exploring Operation: 40*54=2160, Resulting Numbers: [2160]
2160,41 unequal: No Solution
Exploring Operation: 54-40=14, Resulting Numbers: [14]
14,41 unequal: No Solution
Moving to Node #0,0,0
Current State: 41:[60, 46], Operations: ['70-10=60', '40+6=46']
Exploring Operation: 60*46=2760, Resulting Numbers: [2760]
2760,41 unequal: No Solution
Exploring Operation: 60+46=106, Resulting Numbers: [106]
106,41 unequal: No Solution
Exploring Operation: 60-46=14, Resulting Numbers: [14]
14,41 unequal: No Solution
Moving to Node #0,0,1
Current State: 41:[40, 66], Operations: ['70-10=60', '6+60=66']
Exploring Operation: 40*66=2640, Resulting Numbers: [2640]
2640,41 unequal: No Solution
Exploring Operation: 66-40=26, Resulting Numbers: [26]
26,41 unequal: No Solution
Exploring Operation: 40+66=106, Resulting Numbers: [106]
106,41 unequal: No Solution
Moving to Node #0,0,3
Current State: 41:[60, 34], Operations: ['70-10=60', '40-6=34']
Exploring Operation: 60-34=26, Resulting Numbers: [26]
26,41 unequal: No Solution
Exploring Operation: 60+34=94, Resulting Numbers: [94]
94,41 unequal: No Solution
Exploring Operation: 60*34=2040, Resulting Numbers: [2040]
2040,41 unequal: No Solution
Moving to Node #0,2,2
Current State: 41:[64, 50], Operations: ['70-6=64', '40+10=50']
Exploring Operation: 64*50=3200, Resulting Numbers: [3200]
3200,41 unequal: No Solution
Exploring Operation: 64+50=114, Resulting Numbers: [114]
114,41 unequal: No Solution
Exploring Operation: 64-50=14, Resulting Numbers: [14]
14,41 unequal: No Solution
Moving to Node #0,2,0
Current State: 41:[64, 30], Operations: ['70-6=64', '40-10=30']
Exploring Operation: 64*30=1920, Resulting Numbers: [1920]
1920,41 unequal: No Solution
Exploring Operation: 64-30=34, Resulting Numbers: [34]
34,41 unequal: No Solution
Exploring Operation: 64+30=94, Resulting Numbers: [94]
94,41 unequal: No Solution
Moving to Node #0,2,3
Current State: 41:[40, 74], Operations: ['70-6=64', '10+64=74']
Exploring Operation: 74-40=34, Resulting Numbers: [34]
34,41 unequal: No Solution
Exploring Operation: 40*74=2960, Resulting Numbers: [2960]
2960,41 unequal: No Solution
Exploring Operation: 40+74=114, Resulting Numbers: [114]
114,41 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
69,
96,
24,
59
] | 14 | [
"69-59=10",
"96/24=4",
"10+4=14"
] | Current State: 14:[69, 96, 24, 59], Operations: []
Exploring Operation: 69-59=10, Resulting Numbers: [96, 24, 10]
Generated Node #2: [96, 24, 10] from Operation: 69-59=10
Current State: 14:[96, 24, 10], Operations: ['69-59=10']
Exploring Operation: 96/24=4, Resulting Numbers: [10, 4]
Generated Node #3: [10, 4] from Operation: 96/24=4
Current State: 14:[10, 4], Operations: ['69-59=10', '96/24=4']
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[69, 96, 24, 59], Operations: []
Exploring Operation: 96/24=4, Resulting Numbers: [69, 59, 4]
Generated Node #0,0: 14:[69, 59, 4] Operation: 96/24=4
Exploring Operation: 96-69=27, Resulting Numbers: [24, 59, 27]
Generated Node #0,1: 14:[24, 59, 27] Operation: 96-69=27
Exploring Operation: 69-59=10, Resulting Numbers: [96, 24, 10]
Generated Node #0,2: 14:[96, 24, 10] Operation: 69-59=10
Exploring Operation: 69-24=45, Resulting Numbers: [96, 59, 45]
Generated Node #0,3: 14:[96, 59, 45] Operation: 69-24=45
Exploring Operation: 96-59=37, Resulting Numbers: [69, 24, 37]
Generated Node #0,4: 14:[69, 24, 37] Operation: 96-59=37
Moving to Node #0,1
Current State: 14:[24, 59, 27], Operations: ['96-69=27']
Exploring Operation: 24+27=51, Resulting Numbers: [59, 51]
Generated Node #0,1,0: 14:[59, 51] Operation: 24+27=51
Exploring Operation: 24+59=83, Resulting Numbers: [27, 83]
Generated Node #0,1,1: 14:[27, 83] Operation: 24+59=83
Exploring Operation: 59-24=35, Resulting Numbers: [27, 35]
Generated Node #0,1,2: 14:[27, 35] Operation: 59-24=35
Exploring Operation: 27-24=3, Resulting Numbers: [59, 3]
Generated Node #0,1,3: 14:[59, 3] Operation: 27-24=3
Exploring Operation: 59-27=32, Resulting Numbers: [24, 32]
Generated Node #0,1,4: 14:[24, 32] Operation: 59-27=32
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 14:[24, 32], Operations: ['96-69=27', '59-27=32']
Exploring Operation: 24+32=56, Resulting Numbers: [56]
56,14 unequal: No Solution
Exploring Operation: 24*32=768, Resulting Numbers: [768]
768,14 unequal: No Solution
Exploring Operation: 32-24=8, Resulting Numbers: [8]
8,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 14:[27, 35], Operations: ['96-69=27', '59-24=35']
Exploring Operation: 27*35=945, Resulting Numbers: [945]
945,14 unequal: No Solution
Exploring Operation: 35-27=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Exploring Operation: 27+35=62, Resulting Numbers: [62]
62,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 14:[59, 3], Operations: ['96-69=27', '27-24=3']
Exploring Operation: 59*3=177, Resulting Numbers: [177]
177,14 unequal: No Solution
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,14 unequal: No Solution
Exploring Operation: 59+3=62, Resulting Numbers: [62]
62,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 14:[59, 51], Operations: ['96-69=27', '24+27=51']
Exploring Operation: 59+51=110, Resulting Numbers: [110]
110,14 unequal: No Solution
Exploring Operation: 59-51=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Exploring Operation: 59*51=3009, Resulting Numbers: [3009]
3009,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 14:[27, 83], Operations: ['96-69=27', '24+59=83']
Exploring Operation: 27+83=110, Resulting Numbers: [110]
110,14 unequal: No Solution
Exploring Operation: 27*83=2241, Resulting Numbers: [2241]
2241,14 unequal: No Solution
Exploring Operation: 83-27=56, Resulting Numbers: [56]
56,14 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: 14:[69, 24, 37], Operations: ['96-59=37']
Exploring Operation: 69+24=93, Resulting Numbers: [37, 93]
Generated Node #0,4,0: 14:[37, 93] Operation: 69+24=93
Exploring Operation: 69+37=106, Resulting Numbers: [24, 106]
Generated Node #0,4,1: 14:[24, 106] Operation: 69+37=106
Exploring Operation: 69-37=32, Resulting Numbers: [24, 32]
Generated Node #0,4,2: 14:[24, 32] Operation: 69-37=32
Exploring Operation: 69-24=45, Resulting Numbers: [37, 45]
Generated Node #0,4,3: 14:[37, 45] Operation: 69-24=45
Exploring Operation: 37-24=13, Resulting Numbers: [69, 13]
Generated Node #0,4,4: 14:[69, 13] Operation: 37-24=13
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 14:[24, 32], Operations: ['96-59=37', '69-37=32']
Exploring Operation: 32-24=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Exploring Operation: 24*32=768, Resulting Numbers: [768]
768,14 unequal: No Solution
Exploring Operation: 24+32=56, Resulting Numbers: [56]
56,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 14:[37, 45], Operations: ['96-59=37', '69-24=45']
Exploring Operation: 37+45=82, Resulting Numbers: [82]
82,14 unequal: No Solution
Exploring Operation: 37*45=1665, Resulting Numbers: [1665]
1665,14 unequal: No Solution
Exploring Operation: 45-37=8, Resulting Numbers: [8]
8,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 14:[69, 13], Operations: ['96-59=37', '37-24=13']
Exploring Operation: 69*13=897, Resulting Numbers: [897]
897,14 unequal: No Solution
Exploring Operation: 69+13=82, Resulting Numbers: [82]
82,14 unequal: No Solution
Exploring Operation: 69-13=56, Resulting Numbers: [56]
56,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 14:[37, 93], Operations: ['96-59=37', '69+24=93']
Exploring Operation: 93-37=56, Resulting Numbers: [56]
56,14 unequal: No Solution
Exploring Operation: 37*93=3441, Resulting Numbers: [3441]
3441,14 unequal: No Solution
Exploring Operation: 37+93=130, Resulting Numbers: [130]
130,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 14:[24, 106], Operations: ['96-59=37', '69+37=106']
Exploring Operation: 24*106=2544, Resulting Numbers: [2544]
2544,14 unequal: No Solution
Exploring Operation: 24+106=130, Resulting Numbers: [130]
130,14 unequal: No Solution
Exploring Operation: 106-24=82, Resulting Numbers: [82]
82,14 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: 14:[96, 24, 10], Operations: ['69-59=10']
Exploring Operation: 96/24=4, Resulting Numbers: [10, 4]
Generated Node #0,2,0: 14:[10, 4] Operation: 96/24=4
Exploring Operation: 96-10=86, Resulting Numbers: [24, 86]
Generated Node #0,2,1: 14:[24, 86] Operation: 96-10=86
Exploring Operation: 96+10=106, Resulting Numbers: [24, 106]
Generated Node #0,2,2: 14:[24, 106] Operation: 96+10=106
Exploring Operation: 96-24=72, Resulting Numbers: [10, 72]
Generated Node #0,2,3: 14:[10, 72] Operation: 96-24=72
Exploring Operation: 24-10=14, Resulting Numbers: [96, 14]
Generated Node #0,2,4: 14:[96, 14] Operation: 24-10=14
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 14:[10, 4], Operations: ['69-59=10', '96/24=4']
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,14 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,14 unequal: No Solution
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[69, 96, 24, 59], Operations: []
Exploring Operation: 69-59=10, Resulting Numbers: [96, 24, 10]
Generated Node #0,2: 14:[96, 24, 10] Operation: 69-59=10
Moving to Node #0,2
Current State: 14:[96, 24, 10], Operations: ['69-59=10']
Exploring Operation: 96/24=4, Resulting Numbers: [10, 4]
Generated Node #0,2,0: 14:[10, 4] Operation: 96/24=4
Moving to Node #0,2,0
Current State: 14:[10, 4], Operations: ['69-59=10', '96/24=4']
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.950521 | hs_5 | sum_heuristic |
[
49,
7,
39,
69
] | 37 | [
"49/7=7",
"69-39=30",
"7+30=37"
] | Current State: 37:[49, 7, 39, 69], Operations: []
Exploring Operation: 49/7=7, Resulting Numbers: [39, 69, 7]
Generated Node #2: [39, 69, 7] from Operation: 49/7=7
Current State: 37:[39, 69, 7], Operations: ['49/7=7']
Exploring Operation: 69-39=30, Resulting Numbers: [7, 30]
Generated Node #3: [7, 30] from Operation: 69-39=30
Current State: 37:[7, 30], Operations: ['49/7=7', '69-39=30']
Exploring Operation: 7+30=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[49, 7, 39, 69], Operations: []
Exploring Operation: 69-7=62, Resulting Numbers: [49, 39, 62]
Generated Node #0,0: 37:[49, 39, 62] Operation: 69-7=62
Exploring Operation: 69-49=20, Resulting Numbers: [7, 39, 20]
Generated Node #0,1: 37:[7, 39, 20] Operation: 69-49=20
Exploring Operation: 49-7=42, Resulting Numbers: [39, 69, 42]
Generated Node #0,2: 37:[39, 69, 42] Operation: 49-7=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[49, 39, 62], Operations: ['69-7=62']
Exploring Operation: 49-39=10, Resulting Numbers: [62, 10]
Generated Node #0,0,0: 37:[62, 10] Operation: 49-39=10
Exploring Operation: 62-49=13, Resulting Numbers: [39, 13]
Generated Node #0,0,1: 37:[39, 13] Operation: 62-49=13
Exploring Operation: 62-39=23, Resulting Numbers: [49, 23]
Generated Node #0,0,2: 37:[49, 23] Operation: 62-39=23
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 37:[39, 13], Operations: ['69-7=62', '62-49=13']
Exploring Operation: 39+13=52, Resulting Numbers: [52]
52,37 unequal: No Solution
Exploring Operation: 39-13=26, Resulting Numbers: [26]
26,37 unequal: No Solution
Exploring Operation: 39/13=3, Resulting Numbers: [3]
3,37 unequal: No Solution
No 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: 37:[49, 23], Operations: ['69-7=62', '62-39=23']
Exploring Operation: 49*23=1127, Resulting Numbers: [1127]
1127,37 unequal: No Solution
Exploring Operation: 49-23=26, Resulting Numbers: [26]
26,37 unequal: No Solution
Exploring Operation: 49+23=72, Resulting Numbers: [72]
72,37 unequal: No Solution
No 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: 37:[62, 10], Operations: ['69-7=62', '49-39=10']
Exploring Operation: 62+10=72, Resulting Numbers: [72]
72,37 unequal: No Solution
Exploring Operation: 62-10=52, Resulting Numbers: [52]
52,37 unequal: No Solution
Exploring Operation: 62*10=620, Resulting Numbers: [620]
620,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 37:[39, 69, 42], Operations: ['49-7=42']
Exploring Operation: 69-42=27, Resulting Numbers: [39, 27]
Generated Node #0,2,0: 37:[39, 27] Operation: 69-42=27
Exploring Operation: 69-39=30, Resulting Numbers: [42, 30]
Generated Node #0,2,1: 37:[42, 30] Operation: 69-39=30
Exploring Operation: 42-39=3, Resulting Numbers: [69, 3]
Generated Node #0,2,2: 37:[69, 3] Operation: 42-39=3
Moving to Node #0,2,0
Current State: 37:[39, 27], Operations: ['49-7=42', '69-42=27']
Exploring Operation: 39*27=1053, Resulting Numbers: [1053]
1053,37 unequal: No Solution
Exploring Operation: 39+27=66, Resulting Numbers: [66]
66,37 unequal: No Solution
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,37 unequal: No Solution
Moving to Node #0,2,1
Current State: 37:[42, 30], Operations: ['49-7=42', '69-39=30']
Exploring Operation: 42+30=72, Resulting Numbers: [72]
72,37 unequal: No Solution
Exploring Operation: 42-30=12, Resulting Numbers: [12]
12,37 unequal: No Solution
Exploring Operation: 42*30=1260, Resulting Numbers: [1260]
1260,37 unequal: No Solution
Moving to Node #0,2,2
Current State: 37:[69, 3], Operations: ['49-7=42', '42-39=3']
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,37 unequal: No Solution
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,37 unequal: No Solution
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[7, 39, 20], Operations: ['69-49=20']
Exploring Operation: 7+20=27, Resulting Numbers: [39, 27]
Generated Node #0,1,0: 37:[39, 27] Operation: 7+20=27
Exploring Operation: 7+39=46, Resulting Numbers: [20, 46]
Generated Node #0,1,1: 37:[20, 46] Operation: 7+39=46
Exploring Operation: 39-7=32, Resulting Numbers: [20, 32]
Generated Node #0,1,2: 37:[20, 32] Operation: 39-7=32
Moving to Node #0,1,0
Current State: 37:[39, 27], Operations: ['69-49=20', '7+20=27']
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,37 unequal: No Solution
Exploring Operation: 39+27=66, Resulting Numbers: [66]
66,37 unequal: No Solution
Exploring Operation: 39*27=1053, Resulting Numbers: [1053]
1053,37 unequal: No Solution
Moving to Node #0,1,2
Current State: 37:[20, 32], Operations: ['69-49=20', '39-7=32']
Exploring Operation: 32-20=12, Resulting Numbers: [12]
12,37 unequal: No Solution
Exploring Operation: 20+32=52, Resulting Numbers: [52]
52,37 unequal: No Solution
Exploring Operation: 20*32=640, Resulting Numbers: [640]
640,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[20, 46], Operations: ['69-49=20', '7+39=46']
Exploring Operation: 20*46=920, Resulting Numbers: [920]
920,37 unequal: No Solution
Exploring Operation: 46-20=26, Resulting Numbers: [26]
26,37 unequal: No Solution
Exploring Operation: 20+46=66, Resulting Numbers: [66]
66,37 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 |
[
39,
30,
58,
37
] | 90 | [
"39+30=69",
"58-37=21",
"69+21=90"
] | Current State: 90:[39, 30, 58, 37], Operations: []
Exploring Operation: 39+30=69, Resulting Numbers: [58, 37, 69]
Generated Node #2: [58, 37, 69] from Operation: 39+30=69
Current State: 90:[58, 37, 69], Operations: ['39+30=69']
Exploring Operation: 58-37=21, Resulting Numbers: [69, 21]
Generated Node #3: [69, 21] from Operation: 58-37=21
Current State: 90:[69, 21], Operations: ['39+30=69', '58-37=21']
Exploring Operation: 69+21=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[39, 30, 58, 37], Operations: []
Exploring Operation: 58+37=95, Resulting Numbers: [39, 30, 95]
Generated Node #0,0: 90:[39, 30, 95] Operation: 58+37=95
Exploring Operation: 58-39=19, Resulting Numbers: [30, 37, 19]
Generated Node #0,1: 90:[30, 37, 19] Operation: 58-39=19
Exploring Operation: 58-37=21, Resulting Numbers: [39, 30, 21]
Generated Node #0,2: 90:[39, 30, 21] Operation: 58-37=21
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[30, 37, 19], Operations: ['58-39=19']
Exploring Operation: 37-19=18, Resulting Numbers: [30, 18]
Generated Node #0,1,0: 90:[30, 18] Operation: 37-19=18
Exploring Operation: 30-19=11, Resulting Numbers: [37, 11]
Generated Node #0,1,1: 90:[37, 11] Operation: 30-19=11
Exploring Operation: 37-30=7, Resulting Numbers: [19, 7]
Generated Node #0,1,2: 90:[19, 7] Operation: 37-30=7
Moving to Node #0,1,0
Current State: 90:[30, 18], Operations: ['58-39=19', '37-19=18']
Exploring Operation: 30*18=540, Resulting Numbers: [540]
540,90 unequal: No Solution
Exploring Operation: 30+18=48, Resulting Numbers: [48]
48,90 unequal: No Solution
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,90 unequal: No Solution
Moving to Node #0,1,2
Current State: 90:[19, 7], Operations: ['58-39=19', '37-30=7']
Exploring Operation: 19+7=26, Resulting Numbers: [26]
26,90 unequal: No Solution
Exploring Operation: 19*7=133, Resulting Numbers: [133]
133,90 unequal: No Solution
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,90 unequal: No Solution
Moving to Node #0,1,1
Current State: 90:[37, 11], Operations: ['58-39=19', '30-19=11']
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,90 unequal: No Solution
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,90 unequal: No Solution
Exploring Operation: 37*11=407, Resulting Numbers: [407]
407,90 unequal: No Solution
No 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: 90:[39, 30, 21], Operations: ['58-37=21']
Exploring Operation: 39-30=9, Resulting Numbers: [21, 9]
Generated Node #0,2,0: 90:[21, 9] Operation: 39-30=9
Exploring Operation: 30-21=9, Resulting Numbers: [39, 9]
Generated Node #0,2,1: 90:[39, 9] Operation: 30-21=9
Exploring Operation: 39-21=18, Resulting Numbers: [30, 18]
Generated Node #0,2,2: 90:[30, 18] Operation: 39-21=18
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 90:[30, 18], Operations: ['58-37=21', '39-21=18']
Exploring Operation: 30+18=48, Resulting Numbers: [48]
48,90 unequal: No Solution
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,90 unequal: No Solution
Exploring Operation: 30*18=540, Resulting Numbers: [540]
540,90 unequal: No Solution
No 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: 90:[21, 9], Operations: ['58-37=21', '39-30=9']
Exploring Operation: 21-9=12, Resulting Numbers: [12]
12,90 unequal: No Solution
Exploring Operation: 21*9=189, Resulting Numbers: [189]
189,90 unequal: No Solution
Exploring Operation: 21+9=30, Resulting Numbers: [30]
30,90 unequal: No Solution
No 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: 90:[39, 9], Operations: ['58-37=21', '30-21=9']
Exploring Operation: 39+9=48, Resulting Numbers: [48]
48,90 unequal: No Solution
Exploring Operation: 39*9=351, Resulting Numbers: [351]
351,90 unequal: No Solution
Exploring Operation: 39-9=30, Resulting Numbers: [30]
30,90 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: 90:[39, 30, 95], Operations: ['58+37=95']
Exploring Operation: 39+30=69, Resulting Numbers: [95, 69]
Generated Node #0,0,0: 90:[95, 69] Operation: 39+30=69
Exploring Operation: 95-39=56, Resulting Numbers: [30, 56]
Generated Node #0,0,1: 90:[30, 56] Operation: 95-39=56
Exploring Operation: 39-30=9, Resulting Numbers: [95, 9]
Generated Node #0,0,2: 90:[95, 9] Operation: 39-30=9
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 90:[95, 9], Operations: ['58+37=95', '39-30=9']
Exploring Operation: 95-9=86, Resulting Numbers: [86]
86,90 unequal: No Solution
Exploring Operation: 95*9=855, Resulting Numbers: [855]
855,90 unequal: No Solution
Exploring Operation: 95+9=104, Resulting Numbers: [104]
104,90 unequal: No Solution
No 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: 90:[30, 56], Operations: ['58+37=95', '95-39=56']
Exploring Operation: 56-30=26, Resulting Numbers: [26]
26,90 unequal: No Solution
Exploring Operation: 30*56=1680, Resulting Numbers: [1680]
1680,90 unequal: No Solution
Exploring Operation: 30+56=86, Resulting Numbers: [86]
86,90 unequal: No Solution
No 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: 90:[95, 69], Operations: ['58+37=95', '39+30=69']
Exploring Operation: 95-69=26, Resulting Numbers: [26]
26,90 unequal: No Solution
Exploring Operation: 95+69=164, Resulting Numbers: [164]
164,90 unequal: No Solution
Exploring Operation: 95*69=6555, Resulting Numbers: [6555]
6555,90 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 |
[
38,
64,
23,
99
] | 62 | [
"99-23=76",
"76/38=2",
"64-2=62"
] | Current State: 62:[38, 64, 23, 99], Operations: []
Exploring Operation: 99-23=76, Resulting Numbers: [38, 64, 76]
Generated Node #2: [38, 64, 76] from Operation: 99-23=76
Current State: 62:[38, 64, 76], Operations: ['99-23=76']
Exploring Operation: 76/38=2, Resulting Numbers: [64, 2]
Generated Node #3: [64, 2] from Operation: 76/38=2
Current State: 62:[64, 2], Operations: ['99-23=76', '76/38=2']
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[38, 64, 23, 99], Operations: []
Exploring Operation: 99-23=76, Resulting Numbers: [38, 64, 76]
Generated Node #0,0: 62:[38, 64, 76] Operation: 99-23=76
Exploring Operation: 99-64=35, Resulting Numbers: [38, 23, 35]
Generated Node #0,1: 62:[38, 23, 35] Operation: 99-64=35
Exploring Operation: 99-38=61, Resulting Numbers: [64, 23, 61]
Generated Node #0,2: 62:[64, 23, 61] Operation: 99-38=61
Moving to Node #0,2
Current State: 62:[64, 23, 61], Operations: ['99-38=61']
Exploring Operation: 64-61=3, Resulting Numbers: [23, 3]
Generated Node #0,2,0: 62:[23, 3] Operation: 64-61=3
Exploring Operation: 64-23=41, Resulting Numbers: [61, 41]
Generated Node #0,2,1: 62:[61, 41] Operation: 64-23=41
Exploring Operation: 61-23=38, Resulting Numbers: [64, 38]
Generated Node #0,2,2: 62:[64, 38] Operation: 61-23=38
Moving to Node #0,1
Current State: 62:[38, 23, 35], Operations: ['99-64=35']
Exploring Operation: 38+23=61, Resulting Numbers: [35, 61]
Generated Node #0,1,0: 62:[35, 61] Operation: 38+23=61
Exploring Operation: 38-35=3, Resulting Numbers: [23, 3]
Generated Node #0,1,1: 62:[23, 3] Operation: 38-35=3
Exploring Operation: 23+35=58, Resulting Numbers: [38, 58]
Generated Node #0,1,2: 62:[38, 58] Operation: 23+35=58
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 62:[35, 61], Operations: ['99-64=35', '38+23=61']
Exploring Operation: 35+61=96, Resulting Numbers: [96]
96,62 unequal: No Solution
Exploring Operation: 61-35=26, Resulting Numbers: [26]
26,62 unequal: No Solution
Exploring Operation: 35*61=2135, Resulting Numbers: [2135]
2135,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 62:[23, 3], Operations: ['99-64=35', '38-35=3']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,62 unequal: No Solution
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,62 unequal: No Solution
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 62:[38, 58], Operations: ['99-64=35', '23+35=58']
Exploring Operation: 58-38=20, Resulting Numbers: [20]
20,62 unequal: No Solution
Exploring Operation: 38*58=2204, Resulting Numbers: [2204]
2204,62 unequal: No Solution
Exploring Operation: 38+58=96, Resulting Numbers: [96]
96,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 62:[38, 64, 76], Operations: ['99-23=76']
Exploring Operation: 76-64=12, Resulting Numbers: [38, 12]
Generated Node #0,0,0: 62:[38, 12] Operation: 76-64=12
Exploring Operation: 76-38=38, Resulting Numbers: [64, 38]
Generated Node #0,0,1: 62:[64, 38] Operation: 76-38=38
Exploring Operation: 76/38=2, Resulting Numbers: [64, 2]
Generated Node #0,0,2: 62:[64, 2] Operation: 76/38=2
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 62:[64, 2], Operations: ['99-23=76', '76/38=2']
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,62 unequal: No Solution
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[38, 64, 23, 99], Operations: []
Exploring Operation: 99-23=76, Resulting Numbers: [38, 64, 76]
Generated Node #0,0: 62:[38, 64, 76] Operation: 99-23=76
Moving to Node #0,0
Current State: 62:[38, 64, 76], Operations: ['99-23=76']
Exploring Operation: 76/38=2, Resulting Numbers: [64, 2]
Generated Node #0,0,2: 62:[64, 2] Operation: 76/38=2
Moving to Node #0,0,2
Current State: 62:[64, 2], Operations: ['99-23=76', '76/38=2']
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_3 | mult_heuristic |
[
91,
3,
22,
35
] | 65 | [
"3+22=25",
"91*25=2275",
"2275/35=65"
] | Current State: 65:[91, 3, 22, 35], Operations: []
Exploring Operation: 3+22=25, Resulting Numbers: [91, 35, 25]
Generated Node #2: [91, 35, 25] from Operation: 3+22=25
Current State: 65:[91, 35, 25], Operations: ['3+22=25']
Exploring Operation: 91*25=2275, Resulting Numbers: [35, 2275]
Generated Node #3: [35, 2275] from Operation: 91*25=2275
Current State: 65:[35, 2275], Operations: ['3+22=25', '91*25=2275']
Exploring Operation: 2275/35=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[91, 3, 22, 35], Operations: []
Exploring Operation: 35-22=13, Resulting Numbers: [91, 3, 13]
Generated Node #0,0: 65:[91, 3, 13] Operation: 35-22=13
Exploring Operation: 91-22=69, Resulting Numbers: [3, 35, 69]
Generated Node #0,1: 65:[3, 35, 69] Operation: 91-22=69
Exploring Operation: 22+35=57, Resulting Numbers: [91, 3, 57]
Generated Node #0,2: 65:[91, 3, 57] Operation: 22+35=57
Exploring Operation: 91-35=56, Resulting Numbers: [3, 22, 56]
Generated Node #0,3: 65:[3, 22, 56] Operation: 91-35=56
Exploring Operation: 3*22=66, Resulting Numbers: [91, 35, 66]
Generated Node #0,4: 65:[91, 35, 66] Operation: 3*22=66
Start Sub Search at level 1: Moving to Node #0,3
Current State: 65:[3, 22, 56], Operations: ['91-35=56']
Exploring Operation: 3+56=59, Resulting Numbers: [22, 59]
Generated Node #0,3,0: 65:[22, 59] Operation: 3+56=59
Exploring Operation: 22+56=78, Resulting Numbers: [3, 78]
Generated Node #0,3,1: 65:[3, 78] Operation: 22+56=78
Exploring Operation: 22-3=19, Resulting Numbers: [56, 19]
Generated Node #0,3,2: 65:[56, 19] Operation: 22-3=19
Exploring Operation: 3*22=66, Resulting Numbers: [56, 66]
Generated Node #0,3,3: 65:[56, 66] Operation: 3*22=66
Exploring Operation: 3+22=25, Resulting Numbers: [56, 25]
Generated Node #0,3,4: 65:[56, 25] Operation: 3+22=25
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 65:[56, 66], Operations: ['91-35=56', '3*22=66']
Exploring Operation: 56+66=122, Resulting Numbers: [122]
122,65 unequal: No Solution
Exploring Operation: 56*66=3696, Resulting Numbers: [3696]
3696,65 unequal: No Solution
Exploring Operation: 66-56=10, Resulting Numbers: [10]
10,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 65:[22, 59], Operations: ['91-35=56', '3+56=59']
Exploring Operation: 22+59=81, Resulting Numbers: [81]
81,65 unequal: No Solution
Exploring Operation: 22*59=1298, Resulting Numbers: [1298]
1298,65 unequal: No Solution
Exploring Operation: 59-22=37, Resulting Numbers: [37]
37,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 65:[3, 78], Operations: ['91-35=56', '22+56=78']
Exploring Operation: 3*78=234, Resulting Numbers: [234]
234,65 unequal: No Solution
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,65 unequal: No Solution
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,65 unequal: No Solution
Exploring Operation: 3+78=81, Resulting Numbers: [81]
81,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 65:[56, 19], Operations: ['91-35=56', '22-3=19']
Exploring Operation: 56-19=37, Resulting Numbers: [37]
37,65 unequal: No Solution
Exploring Operation: 56*19=1064, Resulting Numbers: [1064]
1064,65 unequal: No Solution
Exploring Operation: 56+19=75, Resulting Numbers: [75]
75,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 65:[56, 25], Operations: ['91-35=56', '3+22=25']
Exploring Operation: 56*25=1400, Resulting Numbers: [1400]
1400,65 unequal: No Solution
Exploring Operation: 56-25=31, Resulting Numbers: [31]
31,65 unequal: No Solution
Exploring Operation: 56+25=81, Resulting Numbers: [81]
81,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[91, 3, 13], Operations: ['35-22=13']
Exploring Operation: 91/13=7, Resulting Numbers: [3, 7]
Generated Node #0,0,0: 65:[3, 7] Operation: 91/13=7
Exploring Operation: 3+13=16, Resulting Numbers: [91, 16]
Generated Node #0,0,1: 65:[91, 16] Operation: 3+13=16
Exploring Operation: 91+3=94, Resulting Numbers: [13, 94]
Generated Node #0,0,2: 65:[13, 94] Operation: 91+3=94
Exploring Operation: 91-3=88, Resulting Numbers: [13, 88]
Generated Node #0,0,3: 65:[13, 88] Operation: 91-3=88
Exploring Operation: 91-13=78, Resulting Numbers: [3, 78]
Generated Node #0,0,4: 65:[3, 78] Operation: 91-13=78
Moving to Node #0,0,0
Current State: 65:[3, 7], Operations: ['35-22=13', '91/13=7']
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,65 unequal: No Solution
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,65 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,65 unequal: No Solution
Moving to Node #0,0,4
Current State: 65:[3, 78], Operations: ['35-22=13', '91-13=78']
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,65 unequal: No Solution
Exploring Operation: 3+78=81, Resulting Numbers: [81]
81,65 unequal: No Solution
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,65 unequal: No Solution
Exploring Operation: 3*78=234, Resulting Numbers: [234]
234,65 unequal: No Solution
Moving to Node #0,0,3
Current State: 65:[13, 88], Operations: ['35-22=13', '91-3=88']
Exploring Operation: 13+88=101, Resulting Numbers: [101]
101,65 unequal: No Solution
Exploring Operation: 13*88=1144, Resulting Numbers: [1144]
1144,65 unequal: No Solution
Exploring Operation: 88-13=75, Resulting Numbers: [75]
75,65 unequal: No Solution
Moving to Node #0,0,1
Current State: 65:[91, 16], Operations: ['35-22=13', '3+13=16']
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,65 unequal: No Solution
Exploring Operation: 91*16=1456, Resulting Numbers: [1456]
1456,65 unequal: No Solution
Exploring Operation: 91+16=107, Resulting Numbers: [107]
107,65 unequal: No Solution
Moving to Node #0,0,2
Current State: 65:[13, 94], Operations: ['35-22=13', '91+3=94']
Exploring Operation: 13*94=1222, Resulting Numbers: [1222]
1222,65 unequal: No Solution
Exploring Operation: 94-13=81, Resulting Numbers: [81]
81,65 unequal: No Solution
Exploring Operation: 13+94=107, Resulting Numbers: [107]
107,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[3, 35, 69], Operations: ['91-22=69']
Exploring Operation: 3+69=72, Resulting Numbers: [35, 72]
Generated Node #0,1,0: 65:[35, 72] Operation: 3+69=72
Exploring Operation: 69-35=34, Resulting Numbers: [3, 34]
Generated Node #0,1,1: 65:[3, 34] Operation: 69-35=34
Exploring Operation: 69-3=66, Resulting Numbers: [35, 66]
Generated Node #0,1,2: 65:[35, 66] Operation: 69-3=66
Exploring Operation: 3+35=38, Resulting Numbers: [69, 38]
Generated Node #0,1,3: 65:[69, 38] Operation: 3+35=38
Exploring Operation: 35-3=32, Resulting Numbers: [69, 32]
Generated Node #0,1,4: 65:[69, 32] Operation: 35-3=32
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 65:[3, 34], Operations: ['91-22=69', '69-35=34']
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,65 unequal: No Solution
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,65 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 65:[35, 66], Operations: ['91-22=69', '69-3=66']
Exploring Operation: 35+66=101, Resulting Numbers: [101]
101,65 unequal: No Solution
Exploring Operation: 66-35=31, Resulting Numbers: [31]
31,65 unequal: No Solution
Exploring Operation: 35*66=2310, Resulting Numbers: [2310]
2310,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 65:[69, 32], Operations: ['91-22=69', '35-3=32']
Exploring Operation: 69-32=37, Resulting Numbers: [37]
37,65 unequal: No Solution
Exploring Operation: 69*32=2208, Resulting Numbers: [2208]
2208,65 unequal: No Solution
Exploring Operation: 69+32=101, Resulting Numbers: [101]
101,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 65:[35, 72], Operations: ['91-22=69', '3+69=72']
Exploring Operation: 35*72=2520, Resulting Numbers: [2520]
2520,65 unequal: No Solution
Exploring Operation: 35+72=107, Resulting Numbers: [107]
107,65 unequal: No Solution
Exploring Operation: 72-35=37, Resulting Numbers: [37]
37,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 65:[69, 38], Operations: ['91-22=69', '3+35=38']
Exploring Operation: 69-38=31, Resulting Numbers: [31]
31,65 unequal: No Solution
Exploring Operation: 69*38=2622, Resulting Numbers: [2622]
2622,65 unequal: No Solution
Exploring Operation: 69+38=107, Resulting Numbers: [107]
107,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 65:[91, 3, 57], Operations: ['22+35=57']
Exploring Operation: 57/3=19, Resulting Numbers: [91, 19]
Generated Node #0,2,0: 65:[91, 19] Operation: 57/3=19
Exploring Operation: 3+57=60, Resulting Numbers: [91, 60]
Generated Node #0,2,1: 65:[91, 60] Operation: 3+57=60
Exploring Operation: 91-57=34, Resulting Numbers: [3, 34]
Generated Node #0,2,2: 65:[3, 34] Operation: 91-57=34
Exploring Operation: 91-3=88, Resulting Numbers: [57, 88]
Generated Node #0,2,3: 65:[57, 88] Operation: 91-3=88
Exploring Operation: 91+3=94, Resulting Numbers: [57, 94]
Generated Node #0,2,4: 65:[57, 94] Operation: 91+3=94
Moving to Node #0,2,2
Current State: 65:[3, 34], Operations: ['22+35=57', '91-57=34']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,65 unequal: No Solution
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,65 unequal: No Solution
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,65 unequal: No Solution
Moving to Node #0,2,3
Current State: 65:[57, 88], Operations: ['22+35=57', '91-3=88']
Exploring Operation: 88-57=31, Resulting Numbers: [31]
31,65 unequal: No Solution
Exploring Operation: 57+88=145, Resulting Numbers: [145]
145,65 unequal: No Solution
Exploring Operation: 57*88=5016, Resulting Numbers: [5016]
5016,65 unequal: No Solution
Moving to Node #0,2,1
Current State: 65:[91, 60], Operations: ['22+35=57', '3+57=60']
Exploring Operation: 91-60=31, Resulting Numbers: [31]
31,65 unequal: No Solution
Exploring Operation: 91*60=5460, Resulting Numbers: [5460]
5460,65 unequal: No Solution
Exploring Operation: 91+60=151, Resulting Numbers: [151]
151,65 unequal: No Solution
Moving to Node #0,2,0
Current State: 65:[91, 19], Operations: ['22+35=57', '57/3=19']
Exploring Operation: 91-19=72, Resulting Numbers: [72]
72,65 unequal: No Solution
Exploring Operation: 91*19=1729, Resulting Numbers: [1729]
1729,65 unequal: No Solution
Exploring Operation: 91+19=110, Resulting Numbers: [110]
110,65 unequal: No Solution
Moving to Node #0,2,4
Current State: 65:[57, 94], Operations: ['22+35=57', '91+3=94']
Exploring Operation: 94-57=37, Resulting Numbers: [37]
37,65 unequal: No Solution
Exploring Operation: 57+94=151, Resulting Numbers: [151]
151,65 unequal: No Solution
Exploring Operation: 57*94=5358, Resulting Numbers: [5358]
5358,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 65:[91, 35, 66], Operations: ['3*22=66']
Exploring Operation: 91+35=126, Resulting Numbers: [66, 126]
Generated Node #0,4,0: 65:[66, 126] Operation: 91+35=126
Exploring Operation: 66-35=31, Resulting Numbers: [91, 31]
Generated Node #0,4,1: 65:[91, 31] Operation: 66-35=31
Exploring Operation: 91-66=25, Resulting Numbers: [35, 25]
Generated Node #0,4,2: 65:[35, 25] Operation: 91-66=25
Exploring Operation: 91-35=56, Resulting Numbers: [66, 56]
Generated Node #0,4,3: 65:[66, 56] Operation: 91-35=56
Exploring Operation: 35+66=101, Resulting Numbers: [91, 101]
Generated Node #0,4,4: 65:[91, 101] Operation: 35+66=101
Moving to Node #0,4,3
Current State: 65:[66, 56], Operations: ['3*22=66', '91-35=56']
Exploring Operation: 66-56=10, Resulting Numbers: [10]
10,65 unequal: No Solution
Exploring Operation: 66*56=3696, Resulting Numbers: [3696]
3696,65 unequal: No Solution
Exploring Operation: 66+56=122, Resulting Numbers: [122]
122,65 unequal: No Solution
Moving to Node #0,4,2
Current State: 65:[35, 25], Operations: ['3*22=66', '91-66=25']
Exploring Operation: 35*25=875, Resulting Numbers: [875]
875,65 unequal: No Solution
Exploring Operation: 35+25=60, Resulting Numbers: [60]
60,65 unequal: No Solution
Exploring Operation: 35-25=10, Resulting Numbers: [10]
10,65 unequal: No Solution
Moving to Node #0,4,1
Current State: 65:[91, 31], Operations: ['3*22=66', '66-35=31']
Exploring Operation: 91-31=60, Resulting Numbers: [60]
60,65 unequal: No Solution
Exploring Operation: 91+31=122, Resulting Numbers: [122]
122,65 unequal: No Solution
Exploring Operation: 91*31=2821, Resulting Numbers: [2821]
2821,65 unequal: No Solution
Moving to Node #0,4,0
Current State: 65:[66, 126], Operations: ['3*22=66', '91+35=126']
Exploring Operation: 126-66=60, Resulting Numbers: [60]
60,65 unequal: No Solution
Exploring Operation: 66*126=8316, Resulting Numbers: [8316]
8316,65 unequal: No Solution
Exploring Operation: 66+126=192, Resulting Numbers: [192]
192,65 unequal: No Solution
Moving to Node #0,4,4
Current State: 65:[91, 101], Operations: ['3*22=66', '35+66=101']
Exploring Operation: 101-91=10, Resulting Numbers: [10]
10,65 unequal: No Solution
Exploring Operation: 91+101=192, Resulting Numbers: [192]
192,65 unequal: No Solution
Exploring Operation: 91*101=9191, Resulting Numbers: [9191]
9191,65 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 |
[
52,
18,
14,
35
] | 28 | [
"52+18=70",
"14*70=980",
"980/35=28"
] | Current State: 28:[52, 18, 14, 35], Operations: []
Exploring Operation: 52+18=70, Resulting Numbers: [14, 35, 70]
Generated Node #2: [14, 35, 70] from Operation: 52+18=70
Current State: 28:[14, 35, 70], Operations: ['52+18=70']
Exploring Operation: 14*70=980, Resulting Numbers: [35, 980]
Generated Node #3: [35, 980] from Operation: 14*70=980
Current State: 28:[35, 980], Operations: ['52+18=70', '14*70=980']
Exploring Operation: 980/35=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[52, 18, 14, 35], Operations: []
Exploring Operation: 52-18=34, Resulting Numbers: [14, 35, 34]
Generated Node #0,0: 28:[14, 35, 34] Operation: 52-18=34
Exploring Operation: 35-18=17, Resulting Numbers: [52, 14, 17]
Generated Node #0,1: 28:[52, 14, 17] Operation: 35-18=17
Exploring Operation: 52-35=17, Resulting Numbers: [18, 14, 17]
Generated Node #0,2: 28:[18, 14, 17] Operation: 52-35=17
Exploring Operation: 52-14=38, Resulting Numbers: [18, 35, 38]
Generated Node #0,3: 28:[18, 35, 38] Operation: 52-14=38
Start Sub Search at level 1: Moving to Node #0,2
Current State: 28:[18, 14, 17], Operations: ['52-35=17']
Exploring Operation: 17-14=3, Resulting Numbers: [18, 3]
Generated Node #0,2,0: 28:[18, 3] Operation: 17-14=3
Exploring Operation: 18-17=1, Resulting Numbers: [14, 1]
Generated Node #0,2,1: 28:[14, 1] Operation: 18-17=1
Exploring Operation: 18-14=4, Resulting Numbers: [17, 4]
Generated Node #0,2,2: 28:[17, 4] Operation: 18-14=4
Exploring Operation: 18+14=32, Resulting Numbers: [17, 32]
Generated Node #0,2,3: 28:[17, 32] Operation: 18+14=32
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 28:[14, 1], Operations: ['52-35=17', '18-17=1']
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,28 unequal: No Solution
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,28 unequal: No Solution
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,28 unequal: No Solution
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 28:[17, 4], Operations: ['52-35=17', '18-14=4']
Exploring Operation: 17*4=68, Resulting Numbers: [68]
68,28 unequal: No Solution
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,28 unequal: No Solution
Exploring Operation: 17+4=21, Resulting Numbers: [21]
21,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 28:[18, 3], Operations: ['52-35=17', '17-14=3']
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,28 unequal: No Solution
Exploring Operation: 18+3=21, Resulting Numbers: [21]
21,28 unequal: No Solution
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,28 unequal: No Solution
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 28:[17, 32], Operations: ['52-35=17', '18+14=32']
Exploring Operation: 17*32=544, Resulting Numbers: [544]
544,28 unequal: No Solution
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,28 unequal: No Solution
Exploring Operation: 17+32=49, Resulting Numbers: [49]
49,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[14, 35, 34], Operations: ['52-18=34']
Exploring Operation: 14+35=49, Resulting Numbers: [34, 49]
Generated Node #0,0,0: 28:[34, 49] Operation: 14+35=49
Exploring Operation: 35-14=21, Resulting Numbers: [34, 21]
Generated Node #0,0,1: 28:[34, 21] Operation: 35-14=21
Exploring Operation: 34-14=20, Resulting Numbers: [35, 20]
Generated Node #0,0,2: 28:[35, 20] Operation: 34-14=20
Exploring Operation: 35-34=1, Resulting Numbers: [14, 1]
Generated Node #0,0,3: 28:[14, 1] Operation: 35-34=1
Moving to Node #0,0,3
Current State: 28:[14, 1], Operations: ['52-18=34', '35-34=1']
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,28 unequal: No Solution
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,28 unequal: No Solution
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,28 unequal: No Solution
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,28 unequal: No Solution
Moving to Node #0,0,2
Current State: 28:[35, 20], Operations: ['52-18=34', '34-14=20']
Exploring Operation: 35-20=15, Resulting Numbers: [15]
15,28 unequal: No Solution
Exploring Operation: 35+20=55, Resulting Numbers: [55]
55,28 unequal: No Solution
Exploring Operation: 35*20=700, Resulting Numbers: [700]
700,28 unequal: No Solution
Moving to Node #0,0,1
Current State: 28:[34, 21], Operations: ['52-18=34', '35-14=21']
Exploring Operation: 34+21=55, Resulting Numbers: [55]
55,28 unequal: No Solution
Exploring Operation: 34-21=13, Resulting Numbers: [13]
13,28 unequal: No Solution
Exploring Operation: 34*21=714, Resulting Numbers: [714]
714,28 unequal: No Solution
Moving to Node #0,0,0
Current State: 28:[34, 49], Operations: ['52-18=34', '14+35=49']
Exploring Operation: 49-34=15, Resulting Numbers: [15]
15,28 unequal: No Solution
Exploring Operation: 34*49=1666, Resulting Numbers: [1666]
1666,28 unequal: No Solution
Exploring Operation: 34+49=83, Resulting Numbers: [83]
83,28 unequal: No Solution
No 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: 28:[18, 35, 38], Operations: ['52-14=38']
Exploring Operation: 35-18=17, Resulting Numbers: [38, 17]
Generated Node #0,3,0: 28:[38, 17] Operation: 35-18=17
Exploring Operation: 38-18=20, Resulting Numbers: [35, 20]
Generated Node #0,3,1: 28:[35, 20] Operation: 38-18=20
Exploring Operation: 38-35=3, Resulting Numbers: [18, 3]
Generated Node #0,3,2: 28:[18, 3] Operation: 38-35=3
Exploring Operation: 18+35=53, Resulting Numbers: [38, 53]
Generated Node #0,3,3: 28:[38, 53] Operation: 18+35=53
Moving to Node #0,3,2
Current State: 28:[18, 3], Operations: ['52-14=38', '38-35=3']
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,28 unequal: No Solution
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,28 unequal: No Solution
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,28 unequal: No Solution
Exploring Operation: 18+3=21, Resulting Numbers: [21]
21,28 unequal: No Solution
Moving to Node #0,3,1
Current State: 28:[35, 20], Operations: ['52-14=38', '38-18=20']
Exploring Operation: 35-20=15, Resulting Numbers: [15]
15,28 unequal: No Solution
Exploring Operation: 35+20=55, Resulting Numbers: [55]
55,28 unequal: No Solution
Exploring Operation: 35*20=700, Resulting Numbers: [700]
700,28 unequal: No Solution
Moving to Node #0,3,0
Current State: 28:[38, 17], Operations: ['52-14=38', '35-18=17']
Exploring Operation: 38+17=55, Resulting Numbers: [55]
55,28 unequal: No Solution
Exploring Operation: 38-17=21, Resulting Numbers: [21]
21,28 unequal: No Solution
Exploring Operation: 38*17=646, Resulting Numbers: [646]
646,28 unequal: No Solution
Moving to Node #0,3,3
Current State: 28:[38, 53], Operations: ['52-14=38', '18+35=53']
Exploring Operation: 38+53=91, Resulting Numbers: [91]
91,28 unequal: No Solution
Exploring Operation: 38*53=2014, Resulting Numbers: [2014]
2014,28 unequal: No Solution
Exploring Operation: 53-38=15, Resulting Numbers: [15]
15,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 28:[52, 14, 17], Operations: ['35-18=17']
Exploring Operation: 14+17=31, Resulting Numbers: [52, 31]
Generated Node #0,1,0: 28:[52, 31] Operation: 14+17=31
Exploring Operation: 17-14=3, Resulting Numbers: [52, 3]
Generated Node #0,1,1: 28:[52, 3] Operation: 17-14=3
Exploring Operation: 52-14=38, Resulting Numbers: [17, 38]
Generated Node #0,1,2: 28:[17, 38] Operation: 52-14=38
Exploring Operation: 52-17=35, Resulting Numbers: [14, 35]
Generated Node #0,1,3: 28:[14, 35] Operation: 52-17=35
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 28:[14, 35], Operations: ['35-18=17', '52-17=35']
Exploring Operation: 14*35=490, Resulting Numbers: [490]
490,28 unequal: No Solution
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,28 unequal: No Solution
Exploring Operation: 14+35=49, Resulting Numbers: [49]
49,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 28:[17, 38], Operations: ['35-18=17', '52-14=38']
Exploring Operation: 38-17=21, Resulting Numbers: [21]
21,28 unequal: No Solution
Exploring Operation: 17+38=55, Resulting Numbers: [55]
55,28 unequal: No Solution
Exploring Operation: 17*38=646, Resulting Numbers: [646]
646,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 28:[52, 3], Operations: ['35-18=17', '17-14=3']
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,28 unequal: No Solution
Exploring Operation: 52*3=156, Resulting Numbers: [156]
156,28 unequal: No Solution
Exploring Operation: 52+3=55, Resulting Numbers: [55]
55,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 28:[52, 31], Operations: ['35-18=17', '14+17=31']
Exploring Operation: 52+31=83, Resulting Numbers: [83]
83,28 unequal: No Solution
Exploring Operation: 52-31=21, Resulting Numbers: [21]
21,28 unequal: No Solution
Exploring Operation: 52*31=1612, Resulting Numbers: [1612]
1612,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
66,
86,
83,
42
] | 52 | [
"86-83=3",
"42/3=14",
"66-14=52"
] | Current State: 52:[66, 86, 83, 42], Operations: []
Exploring Operation: 86-83=3, Resulting Numbers: [66, 42, 3]
Generated Node #2: [66, 42, 3] from Operation: 86-83=3
Current State: 52:[66, 42, 3], Operations: ['86-83=3']
Exploring Operation: 42/3=14, Resulting Numbers: [66, 14]
Generated Node #3: [66, 14] from Operation: 42/3=14
Current State: 52:[66, 14], Operations: ['86-83=3', '42/3=14']
Exploring Operation: 66-14=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[66, 86, 83, 42], Operations: []
Exploring Operation: 86-83=3, Resulting Numbers: [66, 42, 3]
Generated Node #0,0: 52:[66, 42, 3] Operation: 86-83=3
Moving to Node #0,0
Current State: 52:[66, 42, 3], Operations: ['86-83=3']
Exploring Operation: 66-42=24, Resulting Numbers: [3, 24]
Generated Node #0,0,0: 52:[3, 24] Operation: 66-42=24
Moving to Node #0,0,0
Current State: 52:[3, 24], Operations: ['86-83=3', '66-42=24']
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,52 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
79,
3,
22,
26
] | 67 | [
"26-22=4",
"3*4=12",
"79-12=67"
] | Current State: 67:[79, 3, 22, 26], Operations: []
Exploring Operation: 26-22=4, Resulting Numbers: [79, 3, 4]
Generated Node #2: [79, 3, 4] from Operation: 26-22=4
Current State: 67:[79, 3, 4], Operations: ['26-22=4']
Exploring Operation: 3*4=12, Resulting Numbers: [79, 12]
Generated Node #3: [79, 12] from Operation: 3*4=12
Current State: 67:[79, 12], Operations: ['26-22=4', '3*4=12']
Exploring Operation: 79-12=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[79, 3, 22, 26], Operations: []
Exploring Operation: 3*26=78, Resulting Numbers: [79, 22, 78]
Generated Node #0,0: 67:[79, 22, 78] Operation: 3*26=78
Exploring Operation: 3*22=66, Resulting Numbers: [79, 26, 66]
Generated Node #0,1: 67:[79, 26, 66] Operation: 3*22=66
Exploring Operation: 79-3=76, Resulting Numbers: [22, 26, 76]
Generated Node #0,2: 67:[22, 26, 76] Operation: 79-3=76
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[79, 26, 66], Operations: ['3*22=66']
Exploring Operation: 79+26=105, Resulting Numbers: [66, 105]
Generated Node #0,1,0: 67:[66, 105] Operation: 79+26=105
Exploring Operation: 26+66=92, Resulting Numbers: [79, 92]
Generated Node #0,1,1: 67:[79, 92] Operation: 26+66=92
Exploring Operation: 79-26=53, Resulting Numbers: [66, 53]
Generated Node #0,1,2: 67:[66, 53] Operation: 79-26=53
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 67:[66, 53], Operations: ['3*22=66', '79-26=53']
Exploring Operation: 66-53=13, Resulting Numbers: [13]
13,67 unequal: No Solution
Exploring Operation: 66*53=3498, Resulting Numbers: [3498]
3498,67 unequal: No Solution
Exploring Operation: 66+53=119, Resulting Numbers: [119]
119,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 67:[79, 92], Operations: ['3*22=66', '26+66=92']
Exploring Operation: 79+92=171, Resulting Numbers: [171]
171,67 unequal: No Solution
Exploring Operation: 92-79=13, Resulting Numbers: [13]
13,67 unequal: No Solution
Exploring Operation: 79*92=7268, Resulting Numbers: [7268]
7268,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 67:[66, 105], Operations: ['3*22=66', '79+26=105']
Exploring Operation: 105-66=39, Resulting Numbers: [39]
39,67 unequal: No Solution
Exploring Operation: 66*105=6930, Resulting Numbers: [6930]
6930,67 unequal: No Solution
Exploring Operation: 66+105=171, Resulting Numbers: [171]
171,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[79, 22, 78], Operations: ['3*26=78']
Exploring Operation: 78-22=56, Resulting Numbers: [79, 56]
Generated Node #0,0,0: 67:[79, 56] Operation: 78-22=56
Exploring Operation: 79+22=101, Resulting Numbers: [78, 101]
Generated Node #0,0,1: 67:[78, 101] Operation: 79+22=101
Exploring Operation: 79-22=57, Resulting Numbers: [78, 57]
Generated Node #0,0,2: 67:[78, 57] Operation: 79-22=57
Moving to Node #0,0,2
Current State: 67:[78, 57], Operations: ['3*26=78', '79-22=57']
Exploring Operation: 78+57=135, Resulting Numbers: [135]
135,67 unequal: No Solution
Exploring Operation: 78*57=4446, Resulting Numbers: [4446]
4446,67 unequal: No Solution
Exploring Operation: 78-57=21, Resulting Numbers: [21]
21,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[79, 56], Operations: ['3*26=78', '78-22=56']
Exploring Operation: 79+56=135, Resulting Numbers: [135]
135,67 unequal: No Solution
Exploring Operation: 79-56=23, Resulting Numbers: [23]
23,67 unequal: No Solution
Exploring Operation: 79*56=4424, Resulting Numbers: [4424]
4424,67 unequal: No Solution
Moving to Node #0,0,1
Current State: 67:[78, 101], Operations: ['3*26=78', '79+22=101']
Exploring Operation: 101-78=23, Resulting Numbers: [23]
23,67 unequal: No Solution
Exploring Operation: 78+101=179, Resulting Numbers: [179]
179,67 unequal: No Solution
Exploring Operation: 78*101=7878, Resulting Numbers: [7878]
7878,67 unequal: No Solution
No 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: 67:[22, 26, 76], Operations: ['79-3=76']
Exploring Operation: 76-26=50, Resulting Numbers: [22, 50]
Generated Node #0,2,0: 67:[22, 50] Operation: 76-26=50
Exploring Operation: 22+26=48, Resulting Numbers: [76, 48]
Generated Node #0,2,1: 67:[76, 48] Operation: 22+26=48
Exploring Operation: 76-22=54, Resulting Numbers: [26, 54]
Generated Node #0,2,2: 67:[26, 54] Operation: 76-22=54
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 67:[76, 48], Operations: ['79-3=76', '22+26=48']
Exploring Operation: 76-48=28, Resulting Numbers: [28]
28,67 unequal: No Solution
Exploring Operation: 76*48=3648, Resulting Numbers: [3648]
3648,67 unequal: No Solution
Exploring Operation: 76+48=124, Resulting Numbers: [124]
124,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 67:[26, 54], Operations: ['79-3=76', '76-22=54']
Exploring Operation: 26*54=1404, Resulting Numbers: [1404]
1404,67 unequal: No Solution
Exploring Operation: 54-26=28, Resulting Numbers: [28]
28,67 unequal: No Solution
Exploring Operation: 26+54=80, Resulting Numbers: [80]
80,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 67:[22, 50], Operations: ['79-3=76', '76-26=50']
Exploring Operation: 22*50=1100, Resulting Numbers: [1100]
1100,67 unequal: No Solution
Exploring Operation: 22+50=72, Resulting Numbers: [72]
72,67 unequal: No Solution
Exploring Operation: 50-22=28, Resulting Numbers: [28]
28,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
30,
16,
88,
15
] | 88 | [
"30-16=14",
"15-14=1",
"88*1=88"
] | Current State: 88:[30, 16, 88, 15], Operations: []
Exploring Operation: 30-16=14, Resulting Numbers: [88, 15, 14]
Generated Node #2: [88, 15, 14] from Operation: 30-16=14
Current State: 88:[88, 15, 14], Operations: ['30-16=14']
Exploring Operation: 15-14=1, Resulting Numbers: [88, 1]
Generated Node #3: [88, 1] from Operation: 15-14=1
Current State: 88:[88, 1], Operations: ['30-16=14', '15-14=1']
Exploring Operation: 88*1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[30, 16, 88, 15], Operations: []
Exploring Operation: 30/15=2, Resulting Numbers: [16, 88, 2]
Generated Node #0,0: 88:[16, 88, 2] Operation: 30/15=2
Exploring Operation: 30+15=45, Resulting Numbers: [16, 88, 45]
Generated Node #0,1: 88:[16, 88, 45] Operation: 30+15=45
Exploring Operation: 30-16=14, Resulting Numbers: [88, 15, 14]
Generated Node #0,2: 88:[88, 15, 14] Operation: 30-16=14
Exploring Operation: 30+16=46, Resulting Numbers: [88, 15, 46]
Generated Node #0,3: 88:[88, 15, 46] Operation: 30+16=46
Moving to Node #0,0
Current State: 88:[16, 88, 2], Operations: ['30/15=2']
Exploring Operation: 88/2=44, Resulting Numbers: [16, 44]
Generated Node #0,0,0: 88:[16, 44] Operation: 88/2=44
Exploring Operation: 16/2=8, Resulting Numbers: [88, 8]
Generated Node #0,0,1: 88:[88, 8] Operation: 16/2=8
Exploring Operation: 16-2=14, Resulting Numbers: [88, 14]
Generated Node #0,0,2: 88:[88, 14] Operation: 16-2=14
Exploring Operation: 16+2=18, Resulting Numbers: [88, 18]
Generated Node #0,0,3: 88:[88, 18] Operation: 16+2=18
Moving to Node #0,3
Current State: 88:[88, 15, 46], Operations: ['30+16=46']
Exploring Operation: 88+15=103, Resulting Numbers: [46, 103]
Generated Node #0,3,0: 88:[46, 103] Operation: 88+15=103
Exploring Operation: 46-15=31, Resulting Numbers: [88, 31]
Generated Node #0,3,1: 88:[88, 31] Operation: 46-15=31
Exploring Operation: 88-46=42, Resulting Numbers: [15, 42]
Generated Node #0,3,2: 88:[15, 42] Operation: 88-46=42
Exploring Operation: 88-15=73, Resulting Numbers: [46, 73]
Generated Node #0,3,3: 88:[46, 73] Operation: 88-15=73
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 88:[15, 42], Operations: ['30+16=46', '88-46=42']
Exploring Operation: 15+42=57, Resulting Numbers: [57]
57,88 unequal: No Solution
Exploring Operation: 15*42=630, Resulting Numbers: [630]
630,88 unequal: No Solution
Exploring Operation: 42-15=27, Resulting Numbers: [27]
27,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 88:[88, 31], Operations: ['30+16=46', '46-15=31']
Exploring Operation: 88*31=2728, Resulting Numbers: [2728]
2728,88 unequal: No Solution
Exploring Operation: 88+31=119, Resulting Numbers: [119]
119,88 unequal: No Solution
Exploring Operation: 88-31=57, Resulting Numbers: [57]
57,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 88:[46, 103], Operations: ['30+16=46', '88+15=103']
Exploring Operation: 103-46=57, Resulting Numbers: [57]
57,88 unequal: No Solution
Exploring Operation: 46*103=4738, Resulting Numbers: [4738]
4738,88 unequal: No Solution
Exploring Operation: 46+103=149, Resulting Numbers: [149]
149,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 88:[46, 73], Operations: ['30+16=46', '88-15=73']
Exploring Operation: 46+73=119, Resulting Numbers: [119]
119,88 unequal: No Solution
Exploring Operation: 73-46=27, Resulting Numbers: [27]
27,88 unequal: No Solution
Exploring Operation: 46*73=3358, Resulting Numbers: [3358]
3358,88 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: 88:[16, 88, 45], Operations: ['30+15=45']
Exploring Operation: 88-45=43, Resulting Numbers: [16, 43]
Generated Node #0,1,0: 88:[16, 43] Operation: 88-45=43
Exploring Operation: 16+88=104, Resulting Numbers: [45, 104]
Generated Node #0,1,1: 88:[45, 104] Operation: 16+88=104
Exploring Operation: 45-16=29, Resulting Numbers: [88, 29]
Generated Node #0,1,2: 88:[88, 29] Operation: 45-16=29
Exploring Operation: 88-16=72, Resulting Numbers: [45, 72]
Generated Node #0,1,3: 88:[45, 72] Operation: 88-16=72
Moving to Node #0,2
Current State: 88:[88, 15, 14], Operations: ['30-16=14']
Exploring Operation: 15+14=29, Resulting Numbers: [88, 29]
Generated Node #0,2,0: 88:[88, 29] Operation: 15+14=29
Exploring Operation: 88+15=103, Resulting Numbers: [14, 103]
Generated Node #0,2,1: 88:[14, 103] Operation: 88+15=103
Exploring Operation: 15-14=1, Resulting Numbers: [88, 1]
Generated Node #0,2,2: 88:[88, 1] Operation: 15-14=1
Exploring Operation: 88-15=73, Resulting Numbers: [14, 73]
Generated Node #0,2,3: 88:[14, 73] Operation: 88-15=73
Moving to Node #0,0,1
Current State: 88:[88, 8], Operations: ['30/15=2', '16/2=8']
Exploring Operation: 88*8=704, Resulting Numbers: [704]
704,88 unequal: No Solution
Exploring Operation: 88-8=80, Resulting Numbers: [80]
80,88 unequal: No Solution
Exploring Operation: 88/8=11, Resulting Numbers: [11]
11,88 unequal: No Solution
Exploring Operation: 88+8=96, Resulting Numbers: [96]
96,88 unequal: No Solution
Moving to Node #0,2,2
Current State: 88:[88, 1], Operations: ['30-16=14', '15-14=1']
Exploring Operation: 88/1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[30, 16, 88, 15], Operations: []
Exploring Operation: 30-16=14, Resulting Numbers: [88, 15, 14]
Generated Node #0,2: 88:[88, 15, 14] Operation: 30-16=14
Moving to Node #0,2
Current State: 88:[88, 15, 14], Operations: ['30-16=14']
Exploring Operation: 15-14=1, Resulting Numbers: [88, 1]
Generated Node #0,2,2: 88:[88, 1] Operation: 15-14=1
Moving to Node #0,2,2
Current State: 88:[88, 1], Operations: ['30-16=14', '15-14=1']
Exploring Operation: 88/1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 0.96441 | hs_4 | sum_heuristic |
[
50,
40,
2,
94
] | 99 | [
"50-40=10",
"10/2=5",
"94+5=99"
] | Current State: 99:[50, 40, 2, 94], Operations: []
Exploring Operation: 50-40=10, Resulting Numbers: [2, 94, 10]
Generated Node #2: [2, 94, 10] from Operation: 50-40=10
Current State: 99:[2, 94, 10], Operations: ['50-40=10']
Exploring Operation: 10/2=5, Resulting Numbers: [94, 5]
Generated Node #3: [94, 5] from Operation: 10/2=5
Current State: 99:[94, 5], Operations: ['50-40=10', '10/2=5']
Exploring Operation: 94+5=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[50, 40, 2, 94], Operations: []
Exploring Operation: 50*2=100, Resulting Numbers: [40, 94, 100]
Generated Node #0,0: 99:[40, 94, 100] Operation: 50*2=100
Exploring Operation: 50-40=10, Resulting Numbers: [2, 94, 10]
Generated Node #0,1: 99:[2, 94, 10] Operation: 50-40=10
Exploring Operation: 50+40=90, Resulting Numbers: [2, 94, 90]
Generated Node #0,2: 99:[2, 94, 90] Operation: 50+40=90
Start Sub Search at level 1: Moving to Node #0,1
Current State: 99:[2, 94, 10], Operations: ['50-40=10']
Exploring Operation: 2+10=12, Resulting Numbers: [94, 12]
Generated Node #0,1,0: 99:[94, 12] Operation: 2+10=12
Exploring Operation: 2+94=96, Resulting Numbers: [10, 96]
Generated Node #0,1,1: 99:[10, 96] Operation: 2+94=96
Exploring Operation: 10-2=8, Resulting Numbers: [94, 8]
Generated Node #0,1,2: 99:[94, 8] Operation: 10-2=8
Moving to Node #0,1,1
Current State: 99:[10, 96], Operations: ['50-40=10', '2+94=96']
Exploring Operation: 10+96=106, Resulting Numbers: [106]
106,99 unequal: No Solution
Exploring Operation: 96-10=86, Resulting Numbers: [86]
86,99 unequal: No Solution
Exploring Operation: 10*96=960, Resulting Numbers: [960]
960,99 unequal: No Solution
Moving to Node #0,1,0
Current State: 99:[94, 12], Operations: ['50-40=10', '2+10=12']
Exploring Operation: 94-12=82, Resulting Numbers: [82]
82,99 unequal: No Solution
Exploring Operation: 94*12=1128, Resulting Numbers: [1128]
1128,99 unequal: No Solution
Exploring Operation: 94+12=106, Resulting Numbers: [106]
106,99 unequal: No Solution
Moving to Node #0,1,2
Current State: 99:[94, 8], Operations: ['50-40=10', '10-2=8']
Exploring Operation: 94-8=86, Resulting Numbers: [86]
86,99 unequal: No Solution
Exploring Operation: 94+8=102, Resulting Numbers: [102]
102,99 unequal: No Solution
Exploring Operation: 94*8=752, Resulting Numbers: [752]
752,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[40, 94, 100], Operations: ['50*2=100']
Exploring Operation: 100-40=60, Resulting Numbers: [94, 60]
Generated Node #0,0,0: 99:[94, 60] Operation: 100-40=60
Exploring Operation: 100-94=6, Resulting Numbers: [40, 6]
Generated Node #0,0,1: 99:[40, 6] Operation: 100-94=6
Exploring Operation: 94-40=54, Resulting Numbers: [100, 54]
Generated Node #0,0,2: 99:[100, 54] Operation: 94-40=54
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 99:[40, 6], Operations: ['50*2=100', '100-94=6']
Exploring Operation: 40*6=240, Resulting Numbers: [240]
240,99 unequal: No Solution
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,99 unequal: No Solution
Exploring Operation: 40+6=46, Resulting Numbers: [46]
46,99 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 #0,0,2
Current State: 99:[100, 54], Operations: ['50*2=100', '94-40=54']
Exploring Operation: 100*54=5400, Resulting Numbers: [5400]
5400,99 unequal: No Solution
Exploring Operation: 100-54=46, Resulting Numbers: [46]
46,99 unequal: No Solution
Exploring Operation: 100+54=154, Resulting Numbers: [154]
154,99 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 #0,0,0
Current State: 99:[94, 60], Operations: ['50*2=100', '100-40=60']
Exploring Operation: 94+60=154, Resulting Numbers: [154]
154,99 unequal: No Solution
Exploring Operation: 94-60=34, Resulting Numbers: [34]
34,99 unequal: No Solution
Exploring Operation: 94*60=5640, Resulting Numbers: [5640]
5640,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 99:[2, 94, 90], Operations: ['50+40=90']
Exploring Operation: 2+90=92, Resulting Numbers: [94, 92]
Generated Node #0,2,0: 99:[94, 92] Operation: 2+90=92
Exploring Operation: 94-90=4, Resulting Numbers: [2, 4]
Generated Node #0,2,1: 99:[2, 4] Operation: 94-90=4
Exploring Operation: 2+94=96, Resulting Numbers: [90, 96]
Generated Node #0,2,2: 99:[90, 96] Operation: 2+94=96
Moving to Node #0,2,1
Current State: 99:[2, 4], Operations: ['50+40=90', '94-90=4']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,99 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,99 unequal: No Solution
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,99 unequal: No Solution
Moving to Node #0,2,0
Current State: 99:[94, 92], Operations: ['50+40=90', '2+90=92']
Exploring Operation: 94-92=2, Resulting Numbers: [2]
2,99 unequal: No Solution
Exploring Operation: 94+92=186, Resulting Numbers: [186]
186,99 unequal: No Solution
Exploring Operation: 94*92=8648, Resulting Numbers: [8648]
8648,99 unequal: No Solution
Moving to Node #0,2,2
Current State: 99:[90, 96], Operations: ['50+40=90', '2+94=96']
Exploring Operation: 90+96=186, Resulting Numbers: [186]
186,99 unequal: No Solution
Exploring Operation: 96-90=6, Resulting Numbers: [6]
6,99 unequal: No Solution
Exploring Operation: 90*96=8640, Resulting Numbers: [8640]
8640,99 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 |
[
18,
75,
61,
10
] | 14 | [
"75-18=57",
"61+10=71",
"71-57=14"
] | Current State: 14:[18, 75, 61, 10], Operations: []
Exploring Operation: 75-18=57, Resulting Numbers: [61, 10, 57]
Generated Node #2: [61, 10, 57] from Operation: 75-18=57
Current State: 14:[61, 10, 57], Operations: ['75-18=57']
Exploring Operation: 61+10=71, Resulting Numbers: [57, 71]
Generated Node #3: [57, 71] from Operation: 61+10=71
Current State: 14:[57, 71], Operations: ['75-18=57', '61+10=71']
Exploring Operation: 71-57=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[18, 75, 61, 10], Operations: []
Exploring Operation: 75-10=65, Resulting Numbers: [18, 61, 65]
Generated Node #0,0: 14:[18, 61, 65] Operation: 75-10=65
Exploring Operation: 61-18=43, Resulting Numbers: [75, 10, 43]
Generated Node #0,1: 14:[75, 10, 43] Operation: 61-18=43
Exploring Operation: 75-61=14, Resulting Numbers: [18, 10, 14]
Generated Node #0,2: 14:[18, 10, 14] Operation: 75-61=14
Exploring Operation: 75-18=57, Resulting Numbers: [61, 10, 57]
Generated Node #0,3: 14:[61, 10, 57] Operation: 75-18=57
Start Sub Search at level 1: Moving to Node #0,2
Current State: 14:[18, 10, 14], Operations: ['75-61=14']
Exploring Operation: 18-10=8, Resulting Numbers: [14, 8]
Generated Node #0,2,0: 14:[14, 8] Operation: 18-10=8
Exploring Operation: 18+10=28, Resulting Numbers: [14, 28]
Generated Node #0,2,1: 14:[14, 28] Operation: 18+10=28
Exploring Operation: 18-14=4, Resulting Numbers: [10, 4]
Generated Node #0,2,2: 14:[10, 4] Operation: 18-14=4
Exploring Operation: 14-10=4, Resulting Numbers: [18, 4]
Generated Node #0,2,3: 14:[18, 4] Operation: 14-10=4
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 14:[14, 8], Operations: ['75-61=14', '18-10=8']
Exploring Operation: 14+8=22, Resulting Numbers: [22]
22,14 unequal: No Solution
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,14 unequal: No Solution
Exploring Operation: 14*8=112, Resulting Numbers: [112]
112,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 14:[10, 4], Operations: ['75-61=14', '18-14=4']
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[18, 75, 61, 10], Operations: []
Exploring Operation: 75-61=14, Resulting Numbers: [18, 10, 14]
Generated Node #0,2: 14:[18, 10, 14] Operation: 75-61=14
Moving to Node #0,2
Current State: 14:[18, 10, 14], Operations: ['75-61=14']
Exploring Operation: 18-14=4, Resulting Numbers: [10, 4]
Generated Node #0,2,2: 14:[10, 4] Operation: 18-14=4
Moving to Node #0,2,2
Current State: 14:[10, 4], Operations: ['75-61=14', '18-14=4']
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
68,
36,
96,
92
] | 28 | [
"68-36=32",
"96-92=4",
"32-4=28"
] | Current State: 28:[68, 36, 96, 92], Operations: []
Exploring Operation: 68-36=32, Resulting Numbers: [96, 92, 32]
Generated Node #2: [96, 92, 32] from Operation: 68-36=32
Current State: 28:[96, 92, 32], Operations: ['68-36=32']
Exploring Operation: 96-92=4, Resulting Numbers: [32, 4]
Generated Node #3: [32, 4] from Operation: 96-92=4
Current State: 28:[32, 4], Operations: ['68-36=32', '96-92=4']
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[68, 36, 96, 92], Operations: []
Exploring Operation: 96-92=4, Resulting Numbers: [68, 36, 4]
Generated Node #0,0: 28:[68, 36, 4] Operation: 96-92=4
Exploring Operation: 96-68=28, Resulting Numbers: [36, 92, 28]
Generated Node #0,1: 28:[36, 92, 28] Operation: 96-68=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[68, 36, 4], Operations: ['96-92=4']
Exploring Operation: 68/4=17, Resulting Numbers: [36, 17]
Generated Node #0,0,0: 28:[36, 17] Operation: 68/4=17
Exploring Operation: 68-36=32, Resulting Numbers: [4, 32]
Generated Node #0,0,1: 28:[4, 32] Operation: 68-36=32
Moving to Node #0,0,1
Current State: 28:[4, 32], Operations: ['96-92=4', '68-36=32']
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[68, 36, 96, 92], Operations: []
Exploring Operation: 96-92=4, Resulting Numbers: [68, 36, 4]
Generated Node #0,0: 28:[68, 36, 4] Operation: 96-92=4
Moving to Node #0,0
Current State: 28:[68, 36, 4], Operations: ['96-92=4']
Exploring Operation: 68-36=32, Resulting Numbers: [4, 32]
Generated Node #0,0,1: 28:[4, 32] Operation: 68-36=32
Moving to Node #0,0,1
Current State: 28:[4, 32], Operations: ['96-92=4', '68-36=32']
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
16,
16,
11,
20
] | 100 | [
"16-11=5",
"16*5=80",
"20+80=100"
] | Current State: 100:[16, 16, 11, 20], Operations: []
Exploring Operation: 16-11=5, Resulting Numbers: [20, 5]
Generated Node #2: [20, 5] from Operation: 16-11=5
Current State: 100:[20, 5], Operations: ['16-11=5']
Exploring Operation: 16*5=80, Resulting Numbers: [20, 80]
Generated Node #3: [20, 80] from Operation: 16*5=80
Current State: 100:[20, 80], Operations: ['16-11=5', '16*5=80']
Exploring Operation: 20+80=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[16, 16, 11, 20], Operations: []
Exploring Operation: 16-11=5, Resulting Numbers: [16, 20, 5]
Generated Node #0,0: 100:[16, 20, 5] Operation: 16-11=5
Exploring Operation: 16-16=0, Resulting Numbers: [11, 20, 0]
Generated Node #0,1: 100:[11, 20, 0] Operation: 16-16=0
Exploring Operation: 16/16=1, Resulting Numbers: [11, 20, 1]
Generated Node #0,2: 100:[11, 20, 1] Operation: 16/16=1
Start Sub Search at level 1: Moving to Node #0,2
Current State: 100:[11, 20, 1], Operations: ['16/16=1']
Exploring Operation: 11/1=11, Resulting Numbers: [20, 11]
Generated Node #0,2,0: 100:[20, 11] Operation: 11/1=11
Exploring Operation: 11*1=11, Resulting Numbers: [20, 11]
Generated Node #0,2,1: 100:[20, 11] Operation: 11*1=11
Exploring Operation: 11-1=10, Resulting Numbers: [20, 10]
Generated Node #0,2,2: 100:[20, 10] Operation: 11-1=10
Moving to Node #0,2,2
Current State: 100:[20, 10], Operations: ['16/16=1', '11-1=10']
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,100 unequal: No Solution
Exploring Operation: 20+10=30, Resulting Numbers: [30]
30,100 unequal: No Solution
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Moving to Node #0,2,0
Current State: 100:[20, 11], Operations: ['16/16=1', '11/1=11']
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,100 unequal: No Solution
Exploring Operation: 20*11=220, Resulting Numbers: [220]
220,100 unequal: No Solution
Exploring Operation: 20+11=31, Resulting Numbers: [31]
31,100 unequal: No Solution
Moving to Node #0,2,1
Current State: 100:[20, 11], Operations: ['16/16=1', '11*1=11']
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,100 unequal: No Solution
Exploring Operation: 20*11=220, Resulting Numbers: [220]
220,100 unequal: No Solution
Exploring Operation: 20+11=31, Resulting Numbers: [31]
31,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[11, 20, 0], Operations: ['16-16=0']
Exploring Operation: 20+0=20, Resulting Numbers: [11, 20]
Generated Node #0,1,0: 100:[11, 20] Operation: 20+0=20
Exploring Operation: 11-0=11, Resulting Numbers: [20, 11]
Generated Node #0,1,1: 100:[20, 11] Operation: 11-0=11
Exploring Operation: 11+0=11, Resulting Numbers: [20, 11]
Generated Node #0,1,2: 100:[20, 11] Operation: 11+0=11
Moving to Node #0,1,0
Current State: 100:[11, 20], Operations: ['16-16=0', '20+0=20']
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,100 unequal: No Solution
Exploring Operation: 11+20=31, Resulting Numbers: [31]
31,100 unequal: No Solution
Exploring Operation: 11*20=220, Resulting Numbers: [220]
220,100 unequal: No Solution
Moving to Node #0,1,1
Current State: 100:[20, 11], Operations: ['16-16=0', '11-0=11']
Exploring Operation: 20+11=31, Resulting Numbers: [31]
31,100 unequal: No Solution
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,100 unequal: No Solution
Exploring Operation: 20*11=220, Resulting Numbers: [220]
220,100 unequal: No Solution
Moving to Node #0,1,2
Current State: 100:[20, 11], Operations: ['16-16=0', '11+0=11']
Exploring Operation: 20*11=220, Resulting Numbers: [220]
220,100 unequal: No Solution
Exploring Operation: 20+11=31, Resulting Numbers: [31]
31,100 unequal: No Solution
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[16, 20, 5], Operations: ['16-11=5']
Exploring Operation: 16+5=21, Resulting Numbers: [20, 21]
Generated Node #0,0,0: 100:[20, 21] Operation: 16+5=21
Exploring Operation: 20-16=4, Resulting Numbers: [5, 4]
Generated Node #0,0,1: 100:[5, 4] Operation: 20-16=4
Exploring Operation: 16-5=11, Resulting Numbers: [20, 11]
Generated Node #0,0,2: 100:[20, 11] Operation: 16-5=11
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 100:[5, 4], Operations: ['16-11=5', '20-16=4']
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,100 unequal: No Solution
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,100 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,100 unequal: No Solution
No 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: 100:[20, 21], Operations: ['16-11=5', '16+5=21']
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,100 unequal: No Solution
Exploring Operation: 20*21=420, Resulting Numbers: [420]
420,100 unequal: No Solution
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,100 unequal: No Solution
No 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: 100:[20, 11], Operations: ['16-11=5', '16-5=11']
Exploring Operation: 20*11=220, Resulting Numbers: [220]
220,100 unequal: No Solution
Exploring Operation: 20+11=31, Resulting Numbers: [31]
31,100 unequal: No Solution
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,100 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 |
[
84,
83,
3,
29
] | 88 | [
"84-83=1",
"3*29=87",
"1+87=88"
] | Current State: 88:[84, 83, 3, 29], Operations: []
Exploring Operation: 84-83=1, Resulting Numbers: [3, 29, 1]
Generated Node #2: [3, 29, 1] from Operation: 84-83=1
Current State: 88:[3, 29, 1], Operations: ['84-83=1']
Exploring Operation: 3*29=87, Resulting Numbers: [1, 87]
Generated Node #3: [1, 87] from Operation: 3*29=87
Current State: 88:[1, 87], Operations: ['84-83=1', '3*29=87']
Exploring Operation: 1+87=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[84, 83, 3, 29], Operations: []
Exploring Operation: 84-83=1, Resulting Numbers: [3, 29, 1]
Generated Node #0,0: 88:[3, 29, 1] Operation: 84-83=1
Exploring Operation: 3*29=87, Resulting Numbers: [84, 83, 87]
Generated Node #0,1: 88:[84, 83, 87] Operation: 3*29=87
Exploring Operation: 84+3=87, Resulting Numbers: [83, 29, 87]
Generated Node #0,2: 88:[83, 29, 87] Operation: 84+3=87
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[3, 29, 1], Operations: ['84-83=1']
Exploring Operation: 3*29=87, Resulting Numbers: [1, 87]
Generated Node #0,0,0: 88:[1, 87] Operation: 3*29=87
Exploring Operation: 29-3=26, Resulting Numbers: [1, 26]
Generated Node #0,0,1: 88:[1, 26] Operation: 29-3=26
Exploring Operation: 3+1=4, Resulting Numbers: [29, 4]
Generated Node #0,0,2: 88:[29, 4] Operation: 3+1=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 88:[1, 87], Operations: ['84-83=1', '3*29=87']
Exploring Operation: 1+87=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[84, 83, 3, 29], Operations: []
Exploring Operation: 84-83=1, Resulting Numbers: [3, 29, 1]
Generated Node #0,0: 88:[3, 29, 1] Operation: 84-83=1
Moving to Node #0,0
Current State: 88:[3, 29, 1], Operations: ['84-83=1']
Exploring Operation: 3*29=87, Resulting Numbers: [1, 87]
Generated Node #0,0,0: 88:[1, 87] Operation: 3*29=87
Moving to Node #0,0,0
Current State: 88:[1, 87], Operations: ['84-83=1', '3*29=87']
Exploring Operation: 1+87=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
60,
25,
13,
90
] | 65 | [
"60+25=85",
"90-85=5",
"13*5=65"
] | Current State: 65:[60, 25, 13, 90], Operations: []
Exploring Operation: 60+25=85, Resulting Numbers: [13, 90, 85]
Generated Node #2: [13, 90, 85] from Operation: 60+25=85
Current State: 65:[13, 90, 85], Operations: ['60+25=85']
Exploring Operation: 90-85=5, Resulting Numbers: [13, 5]
Generated Node #3: [13, 5] from Operation: 90-85=5
Current State: 65:[13, 5], Operations: ['60+25=85', '90-85=5']
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[60, 25, 13, 90], Operations: []
Exploring Operation: 25-13=12, Resulting Numbers: [60, 90, 12]
Generated Node #0,0: 65:[60, 90, 12] Operation: 25-13=12
Exploring Operation: 90-60=30, Resulting Numbers: [25, 13, 30]
Generated Node #0,1: 65:[25, 13, 30] Operation: 90-60=30
Exploring Operation: 90-13=77, Resulting Numbers: [60, 25, 77]
Generated Node #0,2: 65:[60, 25, 77] Operation: 90-13=77
Exploring Operation: 90-25=65, Resulting Numbers: [60, 13, 65]
Generated Node #0,3: 65:[60, 13, 65] Operation: 90-25=65
Start Sub Search at level 1: Moving to Node #0,3
Current State: 65:[60, 13, 65], Operations: ['90-25=65']
Exploring Operation: 65/13=5, Resulting Numbers: [60, 5]
Generated Node #0,3,0: 65:[60, 5] Operation: 65/13=5
Exploring Operation: 60-13=47, Resulting Numbers: [65, 47]
Generated Node #0,3,1: 65:[65, 47] Operation: 60-13=47
Exploring Operation: 65-60=5, Resulting Numbers: [13, 5]
Generated Node #0,3,2: 65:[13, 5] Operation: 65-60=5
Exploring Operation: 60+13=73, Resulting Numbers: [65, 73]
Generated Node #0,3,3: 65:[65, 73] Operation: 60+13=73
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 65:[13, 5], Operations: ['90-25=65', '65-60=5']
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,65 unequal: No Solution
Exploring Operation: 13+5=18, Resulting Numbers: [18]
18,65 unequal: No Solution
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[60, 25, 13, 90], Operations: []
Exploring Operation: 90-25=65, Resulting Numbers: [60, 13, 65]
Generated Node #0,3: 65:[60, 13, 65] Operation: 90-25=65
Moving to Node #0,3
Current State: 65:[60, 13, 65], Operations: ['90-25=65']
Exploring Operation: 65-60=5, Resulting Numbers: [13, 5]
Generated Node #0,3,2: 65:[13, 5] Operation: 65-60=5
Moving to Node #0,3,2
Current State: 65:[13, 5], Operations: ['90-25=65', '65-60=5']
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
6,
6,
34,
2
] | 36 | [
"6-6=0",
"34+2=36",
"0+36=36"
] | Current State: 36:[6, 6, 34, 2], Operations: []
Exploring Operation: 6-6=0, Resulting Numbers: [34, 2, 0]
Generated Node #2: [34, 2, 0] from Operation: 6-6=0
Current State: 36:[34, 2, 0], Operations: ['6-6=0']
Exploring Operation: 34+2=36, Resulting Numbers: [0, 36]
Generated Node #3: [0, 36] from Operation: 34+2=36
Current State: 36:[0, 36], Operations: ['6-6=0', '34+2=36']
Exploring Operation: 0+36=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[6, 6, 34, 2], Operations: []
Exploring Operation: 34+2=36, Resulting Numbers: [6, 6, 36]
Generated Node #0,0: 36:[6, 6, 36] Operation: 34+2=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[6, 6, 36], Operations: ['34+2=36']
Exploring Operation: 6+6=12, Resulting Numbers: [36, 12]
Generated Node #0,0,0: 36:[36, 12] Operation: 6+6=12
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 36:[36, 12], Operations: ['34+2=36', '6+6=12']
Exploring Operation: 36/12=3, Resulting Numbers: [3]
3,36 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 |
[
30,
3,
31,
49
] | 36 | [
"30+31=61",
"61-49=12",
"3*12=36"
] | Current State: 36:[30, 3, 31, 49], Operations: []
Exploring Operation: 30+31=61, Resulting Numbers: [3, 49, 61]
Generated Node #2: [3, 49, 61] from Operation: 30+31=61
Current State: 36:[3, 49, 61], Operations: ['30+31=61']
Exploring Operation: 61-49=12, Resulting Numbers: [3, 12]
Generated Node #3: [3, 12] from Operation: 61-49=12
Current State: 36:[3, 12], Operations: ['30+31=61', '61-49=12']
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[30, 3, 31, 49], Operations: []
Exploring Operation: 49-30=19, Resulting Numbers: [3, 31, 19]
Generated Node #0,0: 36:[3, 31, 19] Operation: 49-30=19
Exploring Operation: 49-31=18, Resulting Numbers: [30, 3, 18]
Generated Node #0,1: 36:[30, 3, 18] Operation: 49-31=18
Moving to Node #0,0
Current State: 36:[3, 31, 19], Operations: ['49-30=19']
Exploring Operation: 3+31=34, Resulting Numbers: [19, 34]
Generated Node #0,0,0: 36:[19, 34] Operation: 3+31=34
Exploring Operation: 31-19=12, Resulting Numbers: [3, 12]
Generated Node #0,0,1: 36:[3, 12] Operation: 31-19=12
Moving to Node #0,1
Current State: 36:[30, 3, 18], Operations: ['49-31=18']
Exploring Operation: 30/3=10, Resulting Numbers: [18, 10]
Generated Node #0,1,0: 36:[18, 10] Operation: 30/3=10
Exploring Operation: 30-18=12, Resulting Numbers: [3, 12]
Generated Node #0,1,1: 36:[3, 12] Operation: 30-18=12
Moving to Node #0,0,1
Current State: 36:[3, 12], Operations: ['49-30=19', '31-19=12']
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,36 unequal: No Solution
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[30, 3, 31, 49], Operations: []
Exploring Operation: 49-30=19, Resulting Numbers: [3, 31, 19]
Generated Node #0,0: 36:[3, 31, 19] Operation: 49-30=19
Moving to Node #0,0
Current State: 36:[3, 31, 19], Operations: ['49-30=19']
Exploring Operation: 31-19=12, Resulting Numbers: [3, 12]
Generated Node #0,0,1: 36:[3, 12] Operation: 31-19=12
Moving to Node #0,0,1
Current State: 36:[3, 12], Operations: ['49-30=19', '31-19=12']
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 0.989583 | hs_2 | sum_heuristic |
[
84,
28,
89,
16
] | 39 | [
"84+28=112",
"89-16=73",
"112-73=39"
] | Current State: 39:[84, 28, 89, 16], Operations: []
Exploring Operation: 84+28=112, Resulting Numbers: [89, 16, 112]
Generated Node #2: [89, 16, 112] from Operation: 84+28=112
Current State: 39:[89, 16, 112], Operations: ['84+28=112']
Exploring Operation: 89-16=73, Resulting Numbers: [112, 73]
Generated Node #3: [112, 73] from Operation: 89-16=73
Current State: 39:[112, 73], Operations: ['84+28=112', '89-16=73']
Exploring Operation: 112-73=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[84, 28, 89, 16], Operations: []
Exploring Operation: 89-84=5, Resulting Numbers: [28, 16, 5]
Generated Node #0,0: 39:[28, 16, 5] Operation: 89-84=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[28, 16, 5], Operations: ['89-84=5']
Exploring Operation: 28-16=12, Resulting Numbers: [5, 12]
Generated Node #0,0,0: 39:[5, 12] Operation: 28-16=12
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 39:[5, 12], Operations: ['89-84=5', '28-16=12']
Exploring Operation: 5+12=17, Resulting Numbers: [17]
17,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
10,
80,
82,
87
] | 78 | [
"87-82=5",
"10/5=2",
"80-2=78"
] | Current State: 78:[10, 80, 82, 87], Operations: []
Exploring Operation: 87-82=5, Resulting Numbers: [10, 80, 5]
Generated Node #2: [10, 80, 5] from Operation: 87-82=5
Current State: 78:[10, 80, 5], Operations: ['87-82=5']
Exploring Operation: 10/5=2, Resulting Numbers: [80, 2]
Generated Node #3: [80, 2] from Operation: 10/5=2
Current State: 78:[80, 2], Operations: ['87-82=5', '10/5=2']
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[10, 80, 82, 87], Operations: []
Exploring Operation: 80/10=8, Resulting Numbers: [82, 87, 8]
Generated Node #0,0: 78:[82, 87, 8] Operation: 80/10=8
Exploring Operation: 87-80=7, Resulting Numbers: [10, 82, 7]
Generated Node #0,1: 78:[10, 82, 7] Operation: 87-80=7
Exploring Operation: 87-10=77, Resulting Numbers: [80, 82, 77]
Generated Node #0,2: 78:[80, 82, 77] Operation: 87-10=77
Exploring Operation: 87-82=5, Resulting Numbers: [10, 80, 5]
Generated Node #0,3: 78:[10, 80, 5] Operation: 87-82=5
Exploring Operation: 82-80=2, Resulting Numbers: [10, 87, 2]
Generated Node #0,4: 78:[10, 87, 2] Operation: 82-80=2
Moving to Node #0,3
Current State: 78:[10, 80, 5], Operations: ['87-82=5']
Exploring Operation: 80-5=75, Resulting Numbers: [10, 75]
Generated Node #0,3,0: 78:[10, 75] Operation: 80-5=75
Exploring Operation: 10-5=5, Resulting Numbers: [80, 5]
Generated Node #0,3,1: 78:[80, 5] Operation: 10-5=5
Exploring Operation: 10+5=15, Resulting Numbers: [80, 15]
Generated Node #0,3,2: 78:[80, 15] Operation: 10+5=15
Exploring Operation: 80/10=8, Resulting Numbers: [5, 8]
Generated Node #0,3,3: 78:[5, 8] Operation: 80/10=8
Exploring Operation: 10/5=2, Resulting Numbers: [80, 2]
Generated Node #0,3,4: 78:[80, 2] Operation: 10/5=2
Moving to Node #0,2
Current State: 78:[80, 82, 77], Operations: ['87-10=77']
Exploring Operation: 82+77=159, Resulting Numbers: [80, 159]
Generated Node #0,2,0: 78:[80, 159] Operation: 82+77=159
Exploring Operation: 80+77=157, Resulting Numbers: [82, 157]
Generated Node #0,2,1: 78:[82, 157] Operation: 80+77=157
Exploring Operation: 80-77=3, Resulting Numbers: [82, 3]
Generated Node #0,2,2: 78:[82, 3] Operation: 80-77=3
Exploring Operation: 82-80=2, Resulting Numbers: [77, 2]
Generated Node #0,2,3: 78:[77, 2] Operation: 82-80=2
Exploring Operation: 82-77=5, Resulting Numbers: [80, 5]
Generated Node #0,2,4: 78:[80, 5] Operation: 82-77=5
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 78:[77, 2], Operations: ['87-10=77', '82-80=2']
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,78 unequal: No Solution
Exploring Operation: 77*2=154, Resulting Numbers: [154]
154,78 unequal: No Solution
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,78 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:[80, 5], Operations: ['87-10=77', '82-77=5']
Exploring Operation: 80/5=16, Resulting Numbers: [16]
16,78 unequal: No Solution
Exploring Operation: 80*5=400, Resulting Numbers: [400]
400,78 unequal: No Solution
Exploring Operation: 80+5=85, Resulting Numbers: [85]
85,78 unequal: No Solution
Exploring Operation: 80-5=75, Resulting Numbers: [75]
75,78 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:[82, 3], Operations: ['87-10=77', '80-77=3']
Exploring Operation: 82*3=246, Resulting Numbers: [246]
246,78 unequal: No Solution
Exploring Operation: 82+3=85, Resulting Numbers: [85]
85,78 unequal: No Solution
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,78 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:[80, 159], Operations: ['87-10=77', '82+77=159']
Exploring Operation: 80*159=12720, Resulting Numbers: [12720]
12720,78 unequal: No Solution
Exploring Operation: 159-80=79, Resulting Numbers: [79]
79,78 unequal: No Solution
Exploring Operation: 80+159=239, Resulting Numbers: [239]
239,78 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 #0,2,1
Current State: 78:[82, 157], Operations: ['87-10=77', '80+77=157']
Exploring Operation: 82*157=12874, Resulting Numbers: [12874]
12874,78 unequal: No Solution
Exploring Operation: 157-82=75, Resulting Numbers: [75]
75,78 unequal: No Solution
Exploring Operation: 82+157=239, Resulting Numbers: [239]
239,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 78:[10, 82, 7], Operations: ['87-80=7']
Exploring Operation: 82-10=72, Resulting Numbers: [7, 72]
Generated Node #0,1,0: 78:[7, 72] Operation: 82-10=72
Exploring Operation: 10-7=3, Resulting Numbers: [82, 3]
Generated Node #0,1,1: 78:[82, 3] Operation: 10-7=3
Exploring Operation: 10*7=70, Resulting Numbers: [82, 70]
Generated Node #0,1,2: 78:[82, 70] Operation: 10*7=70
Exploring Operation: 82-7=75, Resulting Numbers: [10, 75]
Generated Node #0,1,3: 78:[10, 75] Operation: 82-7=75
Exploring Operation: 10+7=17, Resulting Numbers: [82, 17]
Generated Node #0,1,4: 78:[82, 17] Operation: 10+7=17
Moving to Node #0,4
Current State: 78:[10, 87, 2], Operations: ['82-80=2']
Exploring Operation: 10-2=8, Resulting Numbers: [87, 8]
Generated Node #0,4,0: 78:[87, 8] Operation: 10-2=8
Exploring Operation: 10/2=5, Resulting Numbers: [87, 5]
Generated Node #0,4,1: 78:[87, 5] Operation: 10/2=5
Exploring Operation: 10+2=12, Resulting Numbers: [87, 12]
Generated Node #0,4,2: 78:[87, 12] Operation: 10+2=12
Exploring Operation: 87-2=85, Resulting Numbers: [10, 85]
Generated Node #0,4,3: 78:[10, 85] Operation: 87-2=85
Exploring Operation: 87-10=77, Resulting Numbers: [2, 77]
Generated Node #0,4,4: 78:[2, 77] Operation: 87-10=77
Moving to Node #0,0
Current State: 78:[82, 87, 8], Operations: ['80/10=8']
Exploring Operation: 87-82=5, Resulting Numbers: [8, 5]
Generated Node #0,0,0: 78:[8, 5] Operation: 87-82=5
Exploring Operation: 87-8=79, Resulting Numbers: [82, 79]
Generated Node #0,0,1: 78:[82, 79] Operation: 87-8=79
Exploring Operation: 82+8=90, Resulting Numbers: [87, 90]
Generated Node #0,0,2: 78:[87, 90] Operation: 82+8=90
Exploring Operation: 87+8=95, Resulting Numbers: [82, 95]
Generated Node #0,0,3: 78:[82, 95] Operation: 87+8=95
Exploring Operation: 82-8=74, Resulting Numbers: [87, 74]
Generated Node #0,0,4: 78:[87, 74] Operation: 82-8=74
Moving to Node #0,4,4
Current State: 78:[2, 77], Operations: ['82-80=2', '87-10=77']
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,78 unequal: No Solution
Exploring Operation: 2*77=154, Resulting Numbers: [154]
154,78 unequal: No Solution
Exploring Operation: 2+77=79, Resulting Numbers: [79]
79,78 unequal: No Solution
Moving to Node #0,3,4
Current State: 78:[80, 2], Operations: ['87-82=5', '10/5=2']
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[10, 80, 82, 87], Operations: []
Exploring Operation: 87-82=5, Resulting Numbers: [10, 80, 5]
Generated Node #0,3: 78:[10, 80, 5] Operation: 87-82=5
Moving to Node #0,3
Current State: 78:[10, 80, 5], Operations: ['87-82=5']
Exploring Operation: 10/5=2, Resulting Numbers: [80, 2]
Generated Node #0,3,4: 78:[80, 2] Operation: 10/5=2
Moving to Node #0,3,4
Current State: 78:[80, 2], Operations: ['87-82=5', '10/5=2']
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 0.953125 | hs_5 | sum_heuristic |
[
3,
33,
99,
88
] | 87 | [
"3*33=99",
"99/99=1",
"88-1=87"
] | Current State: 87:[3, 33, 99, 88], Operations: []
Exploring Operation: 3*33=99, Resulting Numbers: [99, 88, 99]
Generated Node #2: [99, 88, 99] from Operation: 3*33=99
Current State: 87:[99, 88, 99], Operations: ['3*33=99']
Exploring Operation: 99/99=1, Resulting Numbers: [88, 1]
Generated Node #3: [88, 1] from Operation: 99/99=1
Current State: 87:[88, 1], Operations: ['3*33=99', '99/99=1']
Exploring Operation: 88-1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[3, 33, 99, 88], Operations: []
Exploring Operation: 99/33=3, Resulting Numbers: [3, 88, 3]
Generated Node #0,0: 87:[3, 88, 3] Operation: 99/33=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[3, 88, 3], Operations: ['99/33=3']
Exploring Operation: 88-3=85, Resulting Numbers: [3, 85]
Generated Node #0,0,0: 87:[3, 85] Operation: 88-3=85
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 87:[3, 85], Operations: ['99/33=3', '88-3=85']
Exploring Operation: 3+85=88, Resulting Numbers: [88]
88,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
83,
25,
51,
49
] | 42 | [
"83-25=58",
"51+49=100",
"100-58=42"
] | Current State: 42:[83, 25, 51, 49], Operations: []
Exploring Operation: 83-25=58, Resulting Numbers: [51, 49, 58]
Generated Node #2: [51, 49, 58] from Operation: 83-25=58
Current State: 42:[51, 49, 58], Operations: ['83-25=58']
Exploring Operation: 51+49=100, Resulting Numbers: [58, 100]
Generated Node #3: [58, 100] from Operation: 51+49=100
Current State: 42:[58, 100], Operations: ['83-25=58', '51+49=100']
Exploring Operation: 100-58=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[83, 25, 51, 49], Operations: []
Exploring Operation: 83-51=32, Resulting Numbers: [25, 49, 32]
Generated Node #0,0: 42:[25, 49, 32] Operation: 83-51=32
Exploring Operation: 83-49=34, Resulting Numbers: [25, 51, 34]
Generated Node #0,1: 42:[25, 51, 34] Operation: 83-49=34
Moving to Node #0,0
Current State: 42:[25, 49, 32], Operations: ['83-51=32']
Exploring Operation: 49-32=17, Resulting Numbers: [25, 17]
Generated Node #0,0,0: 42:[25, 17] Operation: 49-32=17
Exploring Operation: 32-25=7, Resulting Numbers: [49, 7]
Generated Node #0,0,1: 42:[49, 7] Operation: 32-25=7
Moving to Node #0,1
Current State: 42:[25, 51, 34], Operations: ['83-49=34']
Exploring Operation: 34-25=9, Resulting Numbers: [51, 9]
Generated Node #0,1,0: 42:[51, 9] Operation: 34-25=9
Exploring Operation: 51-34=17, Resulting Numbers: [25, 17]
Generated Node #0,1,1: 42:[25, 17] Operation: 51-34=17
Moving to Node #0,0,0
Current State: 42:[25, 17], Operations: ['83-51=32', '49-32=17']
Exploring Operation: 25-17=8, Resulting Numbers: [8]
8,42 unequal: No Solution
Exploring Operation: 25+17=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[83, 25, 51, 49], Operations: []
Exploring Operation: 83-51=32, Resulting Numbers: [25, 49, 32]
Generated Node #0,0: 42:[25, 49, 32] Operation: 83-51=32
Moving to Node #0,0
Current State: 42:[25, 49, 32], Operations: ['83-51=32']
Exploring Operation: 49-32=17, Resulting Numbers: [25, 17]
Generated Node #0,0,0: 42:[25, 17] Operation: 49-32=17
Moving to Node #0,0,0
Current State: 42:[25, 17], Operations: ['83-51=32', '49-32=17']
Exploring Operation: 25+17=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 0.989583 | hs_2 | sum_heuristic |
[
99,
78,
31,
99
] | 31 | [
"99-99=0",
"78*0=0",
"31+0=31"
] | Current State: 31:[99, 78, 31, 99], Operations: []
Exploring Operation: 99-99=0, Resulting Numbers: [78, 31, 0]
Generated Node #2: [78, 31, 0] from Operation: 99-99=0
Current State: 31:[78, 31, 0], Operations: ['99-99=0']
Exploring Operation: 78*0=0, Resulting Numbers: [31, 0]
Generated Node #3: [31, 0] from Operation: 78*0=0
Current State: 31:[31, 0], Operations: ['99-99=0', '78*0=0']
Exploring Operation: 31+0=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[99, 78, 31, 99], Operations: []
Exploring Operation: 99/99=1, Resulting Numbers: [78, 31, 1]
Generated Node #0,0: 31:[78, 31, 1] Operation: 99/99=1
Exploring Operation: 99-99=0, Resulting Numbers: [78, 31, 0]
Generated Node #0,1: 31:[78, 31, 0] Operation: 99-99=0
Exploring Operation: 99-78=21, Resulting Numbers: [99, 31, 21]
Generated Node #0,2: 31:[99, 31, 21] Operation: 99-78=21
Exploring Operation: 99-78=21, Resulting Numbers: [31, 99, 21]
Generated Node #0,3: 31:[31, 99, 21] Operation: 99-78=21
Moving to Node #0,0
Current State: 31:[78, 31, 1], Operations: ['99/99=1']
Exploring Operation: 78/1=78, Resulting Numbers: [31, 78]
Generated Node #0,0,0: 31:[31, 78] Operation: 78/1=78
Exploring Operation: 78-31=47, Resulting Numbers: [1, 47]
Generated Node #0,0,1: 31:[1, 47] Operation: 78-31=47
Exploring Operation: 78*1=78, Resulting Numbers: [31, 78]
Generated Node #0,0,2: 31:[31, 78] Operation: 78*1=78
Exploring Operation: 78-1=77, Resulting Numbers: [31, 77]
Generated Node #0,0,3: 31:[31, 77] Operation: 78-1=77
Moving to Node #0,2
Current State: 31:[99, 31, 21], Operations: ['99-78=21']
Exploring Operation: 99-31=68, Resulting Numbers: [21, 68]
Generated Node #0,2,0: 31:[21, 68] Operation: 99-31=68
Exploring Operation: 31+21=52, Resulting Numbers: [99, 52]
Generated Node #0,2,1: 31:[99, 52] Operation: 31+21=52
Exploring Operation: 99-21=78, Resulting Numbers: [31, 78]
Generated Node #0,2,2: 31:[31, 78] Operation: 99-21=78
Exploring Operation: 99+21=120, Resulting Numbers: [31, 120]
Generated Node #0,2,3: 31:[31, 120] Operation: 99+21=120
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 31:[21, 68], Operations: ['99-78=21', '99-31=68']
Exploring Operation: 21+68=89, Resulting Numbers: [89]
89,31 unequal: No Solution
Exploring Operation: 68-21=47, Resulting Numbers: [47]
47,31 unequal: No Solution
Exploring Operation: 21*68=1428, Resulting Numbers: [1428]
1428,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 31:[31, 78], Operations: ['99-78=21', '99-21=78']
Exploring Operation: 31+78=109, Resulting Numbers: [109]
109,31 unequal: No Solution
Exploring Operation: 31*78=2418, Resulting Numbers: [2418]
2418,31 unequal: No Solution
Exploring Operation: 78-31=47, Resulting Numbers: [47]
47,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 31:[99, 52], Operations: ['99-78=21', '31+21=52']
Exploring Operation: 99+52=151, Resulting Numbers: [151]
151,31 unequal: No Solution
Exploring Operation: 99*52=5148, Resulting Numbers: [5148]
5148,31 unequal: No Solution
Exploring Operation: 99-52=47, Resulting Numbers: [47]
47,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 31:[31, 120], Operations: ['99-78=21', '99+21=120']
Exploring Operation: 120-31=89, Resulting Numbers: [89]
89,31 unequal: No Solution
Exploring Operation: 31*120=3720, Resulting Numbers: [3720]
3720,31 unequal: No Solution
Exploring Operation: 31+120=151, Resulting Numbers: [151]
151,31 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: 31:[78, 31, 0], Operations: ['99-99=0']
Exploring Operation: 78-31=47, Resulting Numbers: [0, 47]
Generated Node #0,1,0: 31:[0, 47] Operation: 78-31=47
Exploring Operation: 78-0=78, Resulting Numbers: [31, 78]
Generated Node #0,1,1: 31:[31, 78] Operation: 78-0=78
Exploring Operation: 78+0=78, Resulting Numbers: [31, 78]
Generated Node #0,1,2: 31:[31, 78] Operation: 78+0=78
Exploring Operation: 78*0=0, Resulting Numbers: [31, 0]
Generated Node #0,1,3: 31:[31, 0] Operation: 78*0=0
Moving to Node #0,3
Current State: 31:[31, 99, 21], Operations: ['99-78=21']
Exploring Operation: 31-21=10, Resulting Numbers: [99, 10]
Generated Node #0,3,0: 31:[99, 10] Operation: 31-21=10
Exploring Operation: 99-31=68, Resulting Numbers: [21, 68]
Generated Node #0,3,1: 31:[21, 68] Operation: 99-31=68
Exploring Operation: 99-21=78, Resulting Numbers: [31, 78]
Generated Node #0,3,2: 31:[31, 78] Operation: 99-21=78
Exploring Operation: 31+21=52, Resulting Numbers: [99, 52]
Generated Node #0,3,3: 31:[99, 52] Operation: 31+21=52
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 31:[21, 68], Operations: ['99-78=21', '99-31=68']
Exploring Operation: 68-21=47, Resulting Numbers: [47]
47,31 unequal: No Solution
Exploring Operation: 21+68=89, Resulting Numbers: [89]
89,31 unequal: No Solution
Exploring Operation: 21*68=1428, Resulting Numbers: [1428]
1428,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 31:[31, 78], Operations: ['99-78=21', '99-21=78']
Exploring Operation: 31*78=2418, Resulting Numbers: [2418]
2418,31 unequal: No Solution
Exploring Operation: 31+78=109, Resulting Numbers: [109]
109,31 unequal: No Solution
Exploring Operation: 78-31=47, Resulting Numbers: [47]
47,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 31:[99, 10], Operations: ['99-78=21', '31-21=10']
Exploring Operation: 99+10=109, Resulting Numbers: [109]
109,31 unequal: No Solution
Exploring Operation: 99-10=89, Resulting Numbers: [89]
89,31 unequal: No Solution
Exploring Operation: 99*10=990, Resulting Numbers: [990]
990,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 31:[99, 52], Operations: ['99-78=21', '31+21=52']
Exploring Operation: 99-52=47, Resulting Numbers: [47]
47,31 unequal: No Solution
Exploring Operation: 99*52=5148, Resulting Numbers: [5148]
5148,31 unequal: No Solution
Exploring Operation: 99+52=151, Resulting Numbers: [151]
151,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,3
Current State: 31:[31, 0], Operations: ['99-99=0', '78*0=0']
Exploring Operation: 31+0=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[99, 78, 31, 99], Operations: []
Exploring Operation: 99-99=0, Resulting Numbers: [78, 31, 0]
Generated Node #0,1: 31:[78, 31, 0] Operation: 99-99=0
Moving to Node #0,1
Current State: 31:[78, 31, 0], Operations: ['99-99=0']
Exploring Operation: 78*0=0, Resulting Numbers: [31, 0]
Generated Node #0,1,3: 31:[31, 0] Operation: 78*0=0
Moving to Node #0,1,3
Current State: 31:[31, 0], Operations: ['99-99=0', '78*0=0']
Exploring Operation: 31+0=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 0.957465 | hs_4 | mult_heuristic |
[
27,
30,
85,
67
] | 21 | [
"30-27=3",
"85-67=18",
"3+18=21"
] | Current State: 21:[27, 30, 85, 67], Operations: []
Exploring Operation: 30-27=3, Resulting Numbers: [85, 67, 3]
Generated Node #2: [85, 67, 3] from Operation: 30-27=3
Current State: 21:[85, 67, 3], Operations: ['30-27=3']
Exploring Operation: 85-67=18, Resulting Numbers: [3, 18]
Generated Node #3: [3, 18] from Operation: 85-67=18
Current State: 21:[3, 18], Operations: ['30-27=3', '85-67=18']
Exploring Operation: 3+18=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[27, 30, 85, 67], Operations: []
Exploring Operation: 85-30=55, Resulting Numbers: [27, 67, 55]
Generated Node #0,0: 21:[27, 67, 55] Operation: 85-30=55
Exploring Operation: 85-67=18, Resulting Numbers: [27, 30, 18]
Generated Node #0,1: 21:[27, 30, 18] Operation: 85-67=18
Exploring Operation: 67-30=37, Resulting Numbers: [27, 85, 37]
Generated Node #0,2: 21:[27, 85, 37] Operation: 67-30=37
Start Sub Search at level 1: Moving to Node #0,1
Current State: 21:[27, 30, 18], Operations: ['85-67=18']
Exploring Operation: 30-27=3, Resulting Numbers: [18, 3]
Generated Node #0,1,0: 21:[18, 3] Operation: 30-27=3
Exploring Operation: 27-18=9, Resulting Numbers: [30, 9]
Generated Node #0,1,1: 21:[30, 9] Operation: 27-18=9
Exploring Operation: 30-18=12, Resulting Numbers: [27, 12]
Generated Node #0,1,2: 21:[27, 12] Operation: 30-18=12
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 21:[18, 3], Operations: ['85-67=18', '30-27=3']
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,21 unequal: No Solution
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 18+3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[27, 30, 85, 67], Operations: []
Exploring Operation: 85-67=18, Resulting Numbers: [27, 30, 18]
Generated Node #0,1: 21:[27, 30, 18] Operation: 85-67=18
Moving to Node #0,1
Current State: 21:[27, 30, 18], Operations: ['85-67=18']
Exploring Operation: 30-27=3, Resulting Numbers: [18, 3]
Generated Node #0,1,0: 21:[18, 3] Operation: 30-27=3
Moving to Node #0,1,0
Current State: 21:[18, 3], Operations: ['85-67=18', '30-27=3']
Exploring Operation: 18+3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
64,
16,
3,
97
] | 59 | [
"64+16=80",
"97+80=177",
"177/3=59"
] | Current State: 59:[64, 16, 3, 97], Operations: []
Exploring Operation: 64+16=80, Resulting Numbers: [3, 97, 80]
Generated Node #2: [3, 97, 80] from Operation: 64+16=80
Current State: 59:[3, 97, 80], Operations: ['64+16=80']
Exploring Operation: 97+80=177, Resulting Numbers: [3, 177]
Generated Node #3: [3, 177] from Operation: 97+80=177
Current State: 59:[3, 177], Operations: ['64+16=80', '97+80=177']
Exploring Operation: 177/3=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[64, 16, 3, 97], Operations: []
Exploring Operation: 16*3=48, Resulting Numbers: [64, 97, 48]
Generated Node #0,0: 59:[64, 97, 48] Operation: 16*3=48
Exploring Operation: 16+3=19, Resulting Numbers: [64, 97, 19]
Generated Node #0,1: 59:[64, 97, 19] Operation: 16+3=19
Exploring Operation: 64-3=61, Resulting Numbers: [16, 97, 61]
Generated Node #0,2: 59:[16, 97, 61] Operation: 64-3=61
Exploring Operation: 97-3=94, Resulting Numbers: [64, 16, 94]
Generated Node #0,3: 59:[64, 16, 94] Operation: 97-3=94
Exploring Operation: 97-16=81, Resulting Numbers: [64, 3, 81]
Generated Node #0,4: 59:[64, 3, 81] Operation: 97-16=81
Moving to Node #0,0
Current State: 59:[64, 97, 48], Operations: ['16*3=48']
Exploring Operation: 97-64=33, Resulting Numbers: [48, 33]
Generated Node #0,0,0: 59:[48, 33] Operation: 97-64=33
Exploring Operation: 97+48=145, Resulting Numbers: [64, 145]
Generated Node #0,0,1: 59:[64, 145] Operation: 97+48=145
Exploring Operation: 64-48=16, Resulting Numbers: [97, 16]
Generated Node #0,0,2: 59:[97, 16] Operation: 64-48=16
Exploring Operation: 64+48=112, Resulting Numbers: [97, 112]
Generated Node #0,0,3: 59:[97, 112] Operation: 64+48=112
Exploring Operation: 97-48=49, Resulting Numbers: [64, 49]
Generated Node #0,0,4: 59:[64, 49] Operation: 97-48=49
Moving to Node #0,2
Current State: 59:[16, 97, 61], Operations: ['64-3=61']
Exploring Operation: 16+97=113, Resulting Numbers: [61, 113]
Generated Node #0,2,0: 59:[61, 113] Operation: 16+97=113
Exploring Operation: 16+61=77, Resulting Numbers: [97, 77]
Generated Node #0,2,1: 59:[97, 77] Operation: 16+61=77
Exploring Operation: 97-61=36, Resulting Numbers: [16, 36]
Generated Node #0,2,2: 59:[16, 36] Operation: 97-61=36
Exploring Operation: 97-16=81, Resulting Numbers: [61, 81]
Generated Node #0,2,3: 59:[61, 81] Operation: 97-16=81
Exploring Operation: 61-16=45, Resulting Numbers: [97, 45]
Generated Node #0,2,4: 59:[97, 45] Operation: 61-16=45
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 59:[61, 81], Operations: ['64-3=61', '97-16=81']
Exploring Operation: 61*81=4941, Resulting Numbers: [4941]
4941,59 unequal: No Solution
Exploring Operation: 61+81=142, Resulting Numbers: [142]
142,59 unequal: No Solution
Exploring Operation: 81-61=20, Resulting Numbers: [20]
20,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 59:[97, 45], Operations: ['64-3=61', '61-16=45']
Exploring Operation: 97*45=4365, Resulting Numbers: [4365]
4365,59 unequal: No Solution
Exploring Operation: 97-45=52, Resulting Numbers: [52]
52,59 unequal: No Solution
Exploring Operation: 97+45=142, Resulting Numbers: [142]
142,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 59:[61, 113], Operations: ['64-3=61', '16+97=113']
Exploring Operation: 61+113=174, Resulting Numbers: [174]
174,59 unequal: No Solution
Exploring Operation: 61*113=6893, Resulting Numbers: [6893]
6893,59 unequal: No Solution
Exploring Operation: 113-61=52, Resulting Numbers: [52]
52,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 59:[97, 77], Operations: ['64-3=61', '16+61=77']
Exploring Operation: 97*77=7469, Resulting Numbers: [7469]
7469,59 unequal: No Solution
Exploring Operation: 97+77=174, Resulting Numbers: [174]
174,59 unequal: No Solution
Exploring Operation: 97-77=20, Resulting Numbers: [20]
20,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 59:[16, 36], Operations: ['64-3=61', '97-61=36']
Exploring Operation: 36-16=20, Resulting Numbers: [20]
20,59 unequal: No Solution
Exploring Operation: 16+36=52, Resulting Numbers: [52]
52,59 unequal: No Solution
Exploring Operation: 16*36=576, Resulting Numbers: [576]
576,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 59:[64, 3, 81], Operations: ['97-16=81']
Exploring Operation: 81-3=78, Resulting Numbers: [64, 78]
Generated Node #0,4,0: 59:[64, 78] Operation: 81-3=78
Exploring Operation: 3+81=84, Resulting Numbers: [64, 84]
Generated Node #0,4,1: 59:[64, 84] Operation: 3+81=84
Exploring Operation: 64-3=61, Resulting Numbers: [81, 61]
Generated Node #0,4,2: 59:[81, 61] Operation: 64-3=61
Exploring Operation: 64+3=67, Resulting Numbers: [81, 67]
Generated Node #0,4,3: 59:[81, 67] Operation: 64+3=67
Exploring Operation: 81/3=27, Resulting Numbers: [64, 27]
Generated Node #0,4,4: 59:[64, 27] Operation: 81/3=27
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 59:[64, 78], Operations: ['97-16=81', '81-3=78']
Exploring Operation: 78-64=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Exploring Operation: 64+78=142, Resulting Numbers: [142]
142,59 unequal: No Solution
Exploring Operation: 64*78=4992, Resulting Numbers: [4992]
4992,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 59:[81, 61], Operations: ['97-16=81', '64-3=61']
Exploring Operation: 81*61=4941, Resulting Numbers: [4941]
4941,59 unequal: No Solution
Exploring Operation: 81+61=142, Resulting Numbers: [142]
142,59 unequal: No Solution
Exploring Operation: 81-61=20, Resulting Numbers: [20]
20,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 59:[64, 84], Operations: ['97-16=81', '3+81=84']
Exploring Operation: 64*84=5376, Resulting Numbers: [5376]
5376,59 unequal: No Solution
Exploring Operation: 84-64=20, Resulting Numbers: [20]
20,59 unequal: No Solution
Exploring Operation: 64+84=148, Resulting Numbers: [148]
148,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 59:[81, 67], Operations: ['97-16=81', '64+3=67']
Exploring Operation: 81*67=5427, Resulting Numbers: [5427]
5427,59 unequal: No Solution
Exploring Operation: 81+67=148, Resulting Numbers: [148]
148,59 unequal: No Solution
Exploring Operation: 81-67=14, Resulting Numbers: [14]
14,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 59:[64, 27], Operations: ['97-16=81', '81/3=27']
Exploring Operation: 64*27=1728, Resulting Numbers: [1728]
1728,59 unequal: No Solution
Exploring Operation: 64+27=91, Resulting Numbers: [91]
91,59 unequal: No Solution
Exploring Operation: 64-27=37, Resulting Numbers: [37]
37,59 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: 59:[64, 97, 19], Operations: ['16+3=19']
Exploring Operation: 64+19=83, Resulting Numbers: [97, 83]
Generated Node #0,1,0: 59:[97, 83] Operation: 64+19=83
Exploring Operation: 97-19=78, Resulting Numbers: [64, 78]
Generated Node #0,1,1: 59:[64, 78] Operation: 97-19=78
Exploring Operation: 64-19=45, Resulting Numbers: [97, 45]
Generated Node #0,1,2: 59:[97, 45] Operation: 64-19=45
Exploring Operation: 97+19=116, Resulting Numbers: [64, 116]
Generated Node #0,1,3: 59:[64, 116] Operation: 97+19=116
Exploring Operation: 97-64=33, Resulting Numbers: [19, 33]
Generated Node #0,1,4: 59:[19, 33] Operation: 97-64=33
Moving to Node #0,3
Current State: 59:[64, 16, 94], Operations: ['97-3=94']
Exploring Operation: 64+16=80, Resulting Numbers: [94, 80]
Generated Node #0,3,0: 59:[94, 80] Operation: 64+16=80
Exploring Operation: 16+94=110, Resulting Numbers: [64, 110]
Generated Node #0,3,1: 59:[64, 110] Operation: 16+94=110
Exploring Operation: 94-64=30, Resulting Numbers: [16, 30]
Generated Node #0,3,2: 59:[16, 30] Operation: 94-64=30
Exploring Operation: 64-16=48, Resulting Numbers: [94, 48]
Generated Node #0,3,3: 59:[94, 48] Operation: 64-16=48
Exploring Operation: 94-16=78, Resulting Numbers: [64, 78]
Generated Node #0,3,4: 59:[64, 78] Operation: 94-16=78
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 59:[64, 78], Operations: ['97-3=94', '94-16=78']
Exploring Operation: 64+78=142, Resulting Numbers: [142]
142,59 unequal: No Solution
Exploring Operation: 64*78=4992, Resulting Numbers: [4992]
4992,59 unequal: No Solution
Exploring Operation: 78-64=14, Resulting Numbers: [14]
14,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 59:[94, 48], Operations: ['97-3=94', '64-16=48']
Exploring Operation: 94*48=4512, Resulting Numbers: [4512]
4512,59 unequal: No Solution
Exploring Operation: 94-48=46, Resulting Numbers: [46]
46,59 unequal: No Solution
Exploring Operation: 94+48=142, Resulting Numbers: [142]
142,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 59:[94, 80], Operations: ['97-3=94', '64+16=80']
Exploring Operation: 94+80=174, Resulting Numbers: [174]
174,59 unequal: No Solution
Exploring Operation: 94*80=7520, Resulting Numbers: [7520]
7520,59 unequal: No Solution
Exploring Operation: 94-80=14, Resulting Numbers: [14]
14,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 59:[64, 110], Operations: ['97-3=94', '16+94=110']
Exploring Operation: 64*110=7040, Resulting Numbers: [7040]
7040,59 unequal: No Solution
Exploring Operation: 64+110=174, Resulting Numbers: [174]
174,59 unequal: No Solution
Exploring Operation: 110-64=46, Resulting Numbers: [46]
46,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 59:[16, 30], Operations: ['97-3=94', '94-64=30']
Exploring Operation: 16+30=46, Resulting Numbers: [46]
46,59 unequal: No Solution
Exploring Operation: 16*30=480, Resulting Numbers: [480]
480,59 unequal: No Solution
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,4
Current State: 59:[64, 49], Operations: ['16*3=48', '97-48=49']
Exploring Operation: 64-49=15, Resulting Numbers: [15]
15,59 unequal: No Solution
Exploring Operation: 64*49=3136, Resulting Numbers: [3136]
3136,59 unequal: No Solution
Exploring Operation: 64+49=113, Resulting Numbers: [113]
113,59 unequal: No Solution
Moving to Node #0,1,1
Current State: 59:[64, 78], Operations: ['16+3=19', '97-19=78']
Exploring Operation: 64*78=4992, Resulting Numbers: [4992]
4992,59 unequal: No Solution
Exploring Operation: 78-64=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Exploring Operation: 64+78=142, Resulting Numbers: [142]
142,59 unequal: No Solution
Moving to Node #0,0,0
Current State: 59:[48, 33], Operations: ['16*3=48', '97-64=33']
Exploring Operation: 48+33=81, Resulting Numbers: [81]
81,59 unequal: No Solution
Exploring Operation: 48-33=15, Resulting Numbers: [15]
15,59 unequal: No Solution
Exploring Operation: 48*33=1584, Resulting Numbers: [1584]
1584,59 unequal: No Solution
Moving to Node #0,1,2
Current State: 59:[97, 45], Operations: ['16+3=19', '64-19=45']
Exploring Operation: 97+45=142, Resulting Numbers: [142]
142,59 unequal: No Solution
Exploring Operation: 97*45=4365, Resulting Numbers: [4365]
4365,59 unequal: No Solution
Exploring Operation: 97-45=52, Resulting Numbers: [52]
52,59 unequal: No Solution
Moving to Node #0,1,0
Current State: 59:[97, 83], Operations: ['16+3=19', '64+19=83']
Exploring Operation: 97+83=180, Resulting Numbers: [180]
180,59 unequal: No Solution
Exploring Operation: 97*83=8051, Resulting Numbers: [8051]
8051,59 unequal: No Solution
Exploring Operation: 97-83=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Moving to Node #0,1,3
Current State: 59:[64, 116], Operations: ['16+3=19', '97+19=116']
Exploring Operation: 116-64=52, Resulting Numbers: [52]
52,59 unequal: No Solution
Exploring Operation: 64*116=7424, Resulting Numbers: [7424]
7424,59 unequal: No Solution
Exploring Operation: 64+116=180, Resulting Numbers: [180]
180,59 unequal: No Solution
Moving to Node #0,1,4
Current State: 59:[19, 33], Operations: ['16+3=19', '97-64=33']
Exploring Operation: 19+33=52, Resulting Numbers: [52]
52,59 unequal: No Solution
Exploring Operation: 19*33=627, Resulting Numbers: [627]
627,59 unequal: No Solution
Exploring Operation: 33-19=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Moving to Node #0,0,2
Current State: 59:[97, 16], Operations: ['16*3=48', '64-48=16']
Exploring Operation: 97+16=113, Resulting Numbers: [113]
113,59 unequal: No Solution
Exploring Operation: 97*16=1552, Resulting Numbers: [1552]
1552,59 unequal: No Solution
Exploring Operation: 97-16=81, Resulting Numbers: [81]
81,59 unequal: No Solution
Moving to Node #0,0,3
Current State: 59:[97, 112], Operations: ['16*3=48', '64+48=112']
Exploring Operation: 97*112=10864, Resulting Numbers: [10864]
10864,59 unequal: No Solution
Exploring Operation: 97+112=209, Resulting Numbers: [209]
209,59 unequal: No Solution
Exploring Operation: 112-97=15, Resulting Numbers: [15]
15,59 unequal: No Solution
Moving to Node #0,0,1
Current State: 59:[64, 145], Operations: ['16*3=48', '97+48=145']
Exploring Operation: 64+145=209, Resulting Numbers: [209]
209,59 unequal: No Solution
Exploring Operation: 64*145=9280, Resulting Numbers: [9280]
9280,59 unequal: No Solution
Exploring Operation: 145-64=81, Resulting Numbers: [81]
81,59 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
6,
35,
29,
2
] | 47 | [
"29-6=23",
"35*2=70",
"70-23=47"
] | Current State: 47:[6, 35, 29, 2], Operations: []
Exploring Operation: 29-6=23, Resulting Numbers: [35, 2, 23]
Generated Node #2: [35, 2, 23] from Operation: 29-6=23
Current State: 47:[35, 2, 23], Operations: ['29-6=23']
Exploring Operation: 35*2=70, Resulting Numbers: [23, 70]
Generated Node #3: [23, 70] from Operation: 35*2=70
Current State: 47:[23, 70], Operations: ['29-6=23', '35*2=70']
Exploring Operation: 70-23=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[6, 35, 29, 2], Operations: []
Exploring Operation: 29*2=58, Resulting Numbers: [6, 35, 58]
Generated Node #0,0: 47:[6, 35, 58] Operation: 29*2=58
Exploring Operation: 6+29=35, Resulting Numbers: [35, 2, 35]
Generated Node #0,1: 47:[35, 2, 35] Operation: 6+29=35
Exploring Operation: 6*2=12, Resulting Numbers: [35, 29, 12]
Generated Node #0,2: 47:[35, 29, 12] Operation: 6*2=12
Exploring Operation: 6+35=41, Resulting Numbers: [29, 2, 41]
Generated Node #0,3: 47:[29, 2, 41] Operation: 6+35=41
Moving to Node #0,0
Current State: 47:[6, 35, 58], Operations: ['29*2=58']
Exploring Operation: 6+58=64, Resulting Numbers: [35, 64]
Generated Node #0,0,0: 47:[35, 64] Operation: 6+58=64
Exploring Operation: 6+35=41, Resulting Numbers: [58, 41]
Generated Node #0,0,1: 47:[58, 41] Operation: 6+35=41
Exploring Operation: 58-6=52, Resulting Numbers: [35, 52]
Generated Node #0,0,2: 47:[35, 52] Operation: 58-6=52
Exploring Operation: 35-6=29, Resulting Numbers: [58, 29]
Generated Node #0,0,3: 47:[58, 29] Operation: 35-6=29
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 47:[58, 41], Operations: ['29*2=58', '6+35=41']
Exploring Operation: 58-41=17, Resulting Numbers: [17]
17,47 unequal: No Solution
Exploring Operation: 58+41=99, Resulting Numbers: [99]
99,47 unequal: No Solution
Exploring Operation: 58*41=2378, Resulting Numbers: [2378]
2378,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 47:[35, 52], Operations: ['29*2=58', '58-6=52']
Exploring Operation: 52-35=17, Resulting Numbers: [17]
17,47 unequal: No Solution
Exploring Operation: 35*52=1820, Resulting Numbers: [1820]
1820,47 unequal: No Solution
Exploring Operation: 35+52=87, Resulting Numbers: [87]
87,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 47:[35, 64], Operations: ['29*2=58', '6+58=64']
Exploring Operation: 64-35=29, Resulting Numbers: [29]
29,47 unequal: No Solution
Exploring Operation: 35*64=2240, Resulting Numbers: [2240]
2240,47 unequal: No Solution
Exploring Operation: 35+64=99, Resulting Numbers: [99]
99,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 47:[58, 29], Operations: ['29*2=58', '35-6=29']
Exploring Operation: 58-29=29, Resulting Numbers: [29]
29,47 unequal: No Solution
Exploring Operation: 58/29=2, Resulting Numbers: [2]
2,47 unequal: No Solution
Exploring Operation: 58*29=1682, Resulting Numbers: [1682]
1682,47 unequal: No Solution
Exploring Operation: 58+29=87, Resulting Numbers: [87]
87,47 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: 47:[35, 29, 12], Operations: ['6*2=12']
Exploring Operation: 29-12=17, Resulting Numbers: [35, 17]
Generated Node #0,2,0: 47:[35, 17] Operation: 29-12=17
Exploring Operation: 35-12=23, Resulting Numbers: [29, 23]
Generated Node #0,2,1: 47:[29, 23] Operation: 35-12=23
Exploring Operation: 35+12=47, Resulting Numbers: [29, 47]
Generated Node #0,2,2: 47:[29, 47] Operation: 35+12=47
Exploring Operation: 29+12=41, Resulting Numbers: [35, 41]
Generated Node #0,2,3: 47:[35, 41] Operation: 29+12=41
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 47:[29, 47], Operations: ['6*2=12', '35+12=47']
Exploring Operation: 29*47=1363, Resulting Numbers: [1363]
1363,47 unequal: No Solution
Exploring Operation: 29+47=76, Resulting Numbers: [76]
76,47 unequal: No Solution
Exploring Operation: 47-29=18, Resulting Numbers: [18]
18,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 47:[35, 41], Operations: ['6*2=12', '29+12=41']
Exploring Operation: 35*41=1435, Resulting Numbers: [1435]
1435,47 unequal: No Solution
Exploring Operation: 41-35=6, Resulting Numbers: [6]
6,47 unequal: No Solution
Exploring Operation: 35+41=76, Resulting Numbers: [76]
76,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 47:[35, 17], Operations: ['6*2=12', '29-12=17']
Exploring Operation: 35+17=52, Resulting Numbers: [52]
52,47 unequal: No Solution
Exploring Operation: 35*17=595, Resulting Numbers: [595]
595,47 unequal: No Solution
Exploring Operation: 35-17=18, Resulting Numbers: [18]
18,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 47:[29, 23], Operations: ['6*2=12', '35-12=23']
Exploring Operation: 29-23=6, Resulting Numbers: [6]
6,47 unequal: No Solution
Exploring Operation: 29+23=52, Resulting Numbers: [52]
52,47 unequal: No Solution
Exploring Operation: 29*23=667, Resulting Numbers: [667]
667,47 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: 47:[29, 2, 41], Operations: ['6+35=41']
Exploring Operation: 29*2=58, Resulting Numbers: [41, 58]
Generated Node #0,3,0: 47:[41, 58] Operation: 29*2=58
Exploring Operation: 2+41=43, Resulting Numbers: [29, 43]
Generated Node #0,3,1: 47:[29, 43] Operation: 2+41=43
Exploring Operation: 29-2=27, Resulting Numbers: [41, 27]
Generated Node #0,3,2: 47:[41, 27] Operation: 29-2=27
Exploring Operation: 29+2=31, Resulting Numbers: [41, 31]
Generated Node #0,3,3: 47:[41, 31] Operation: 29+2=31
Moving to Node #0,1
Current State: 47:[35, 2, 35], Operations: ['6+29=35']
Exploring Operation: 35+2=37, Resulting Numbers: [35, 37]
Generated Node #0,1,0: 47:[35, 37] Operation: 35+2=37
Exploring Operation: 35-2=33, Resulting Numbers: [35, 33]
Generated Node #0,1,1: 47:[35, 33] Operation: 35-2=33
Exploring Operation: 2+35=37, Resulting Numbers: [35, 37]
Generated Node #0,1,2: 47:[35, 37] Operation: 2+35=37
Exploring Operation: 35-2=33, Resulting Numbers: [35, 33]
Generated Node #0,1,3: 47:[35, 33] Operation: 35-2=33
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 47:[35, 37], Operations: ['6+29=35', '35+2=37']
Exploring Operation: 37-35=2, Resulting Numbers: [2]
2,47 unequal: No Solution
Exploring Operation: 35+37=72, Resulting Numbers: [72]
72,47 unequal: No Solution
Exploring Operation: 35*37=1295, Resulting Numbers: [1295]
1295,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 47:[35, 37], Operations: ['6+29=35', '2+35=37']
Exploring Operation: 37-35=2, Resulting Numbers: [2]
2,47 unequal: No Solution
Exploring Operation: 35*37=1295, Resulting Numbers: [1295]
1295,47 unequal: No Solution
Exploring Operation: 35+37=72, Resulting Numbers: [72]
72,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 47:[35, 33], Operations: ['6+29=35', '35-2=33']
Exploring Operation: 35+33=68, Resulting Numbers: [68]
68,47 unequal: No Solution
Exploring Operation: 35-33=2, Resulting Numbers: [2]
2,47 unequal: No Solution
Exploring Operation: 35*33=1155, Resulting Numbers: [1155]
1155,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 47:[35, 33], Operations: ['6+29=35', '35-2=33']
Exploring Operation: 35*33=1155, Resulting Numbers: [1155]
1155,47 unequal: No Solution
Exploring Operation: 35+33=68, Resulting Numbers: [68]
68,47 unequal: No Solution
Exploring Operation: 35-33=2, Resulting Numbers: [2]
2,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 47:[41, 58], Operations: ['6+35=41', '29*2=58']
Exploring Operation: 58-41=17, Resulting Numbers: [17]
17,47 unequal: No Solution
Exploring Operation: 41*58=2378, Resulting Numbers: [2378]
2378,47 unequal: No Solution
Exploring Operation: 41+58=99, Resulting Numbers: [99]
99,47 unequal: No Solution
Moving to Node #0,3,3
Current State: 47:[41, 31], Operations: ['6+35=41', '29+2=31']
Exploring Operation: 41+31=72, Resulting Numbers: [72]
72,47 unequal: No Solution
Exploring Operation: 41-31=10, Resulting Numbers: [10]
10,47 unequal: No Solution
Exploring Operation: 41*31=1271, Resulting Numbers: [1271]
1271,47 unequal: No Solution
Moving to Node #0,3,1
Current State: 47:[29, 43], Operations: ['6+35=41', '2+41=43']
Exploring Operation: 43-29=14, Resulting Numbers: [14]
14,47 unequal: No Solution
Exploring Operation: 29+43=72, Resulting Numbers: [72]
72,47 unequal: No Solution
Exploring Operation: 29*43=1247, Resulting Numbers: [1247]
1247,47 unequal: No Solution
Moving to Node #0,3,2
Current State: 47:[41, 27], Operations: ['6+35=41', '29-2=27']
Exploring Operation: 41-27=14, Resulting Numbers: [14]
14,47 unequal: No Solution
Exploring Operation: 41+27=68, Resulting Numbers: [68]
68,47 unequal: No Solution
Exploring Operation: 41*27=1107, Resulting Numbers: [1107]
1107,47 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
37,
46,
51,
40
] | 29 | [
"40-37=3",
"51/3=17",
"46-17=29"
] | Current State: 29:[37, 46, 51, 40], Operations: []
Exploring Operation: 40-37=3, Resulting Numbers: [46, 51, 3]
Generated Node #2: [46, 51, 3] from Operation: 40-37=3
Current State: 29:[46, 51, 3], Operations: ['40-37=3']
Exploring Operation: 51/3=17, Resulting Numbers: [46, 17]
Generated Node #3: [46, 17] from Operation: 51/3=17
Current State: 29:[46, 17], Operations: ['40-37=3', '51/3=17']
Exploring Operation: 46-17=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[37, 46, 51, 40], Operations: []
Exploring Operation: 51-46=5, Resulting Numbers: [37, 40, 5]
Generated Node #0,0: 29:[37, 40, 5] Operation: 51-46=5
Exploring Operation: 51-37=14, Resulting Numbers: [46, 40, 14]
Generated Node #0,1: 29:[46, 40, 14] Operation: 51-37=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[37, 40, 5], Operations: ['51-46=5']
Exploring Operation: 40-5=35, Resulting Numbers: [37, 35]
Generated Node #0,0,0: 29:[37, 35] Operation: 40-5=35
Exploring Operation: 37-5=32, Resulting Numbers: [40, 32]
Generated Node #0,0,1: 29:[40, 32] Operation: 37-5=32
Moving to Node #0,0,0
Current State: 29:[37, 35], Operations: ['51-46=5', '40-5=35']
Exploring Operation: 37+35=72, Resulting Numbers: [72]
72,29 unequal: No Solution
Exploring Operation: 37-35=2, Resulting Numbers: [2]
2,29 unequal: No Solution
Moving to Node #0,0,1
Current State: 29:[40, 32], Operations: ['51-46=5', '37-5=32']
Exploring Operation: 40-32=8, Resulting Numbers: [8]
8,29 unequal: No Solution
Exploring Operation: 40+32=72, Resulting Numbers: [72]
72,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 29:[46, 40, 14], Operations: ['51-37=14']
Exploring Operation: 40-14=26, Resulting Numbers: [46, 26]
Generated Node #0,1,0: 29:[46, 26] Operation: 40-14=26
Exploring Operation: 46-14=32, Resulting Numbers: [40, 32]
Generated Node #0,1,1: 29:[40, 32] Operation: 46-14=32
Moving to Node #0,1,1
Current State: 29:[40, 32], Operations: ['51-37=14', '46-14=32']
Exploring Operation: 40-32=8, Resulting Numbers: [8]
8,29 unequal: No Solution
Exploring Operation: 40+32=72, Resulting Numbers: [72]
72,29 unequal: No Solution
Moving to Node #0,1,0
Current State: 29:[46, 26], Operations: ['51-37=14', '40-14=26']
Exploring Operation: 46+26=72, Resulting Numbers: [72]
72,29 unequal: No Solution
Exploring Operation: 46-26=20, Resulting Numbers: [20]
20,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
64,
50,
70,
2
] | 22 | [
"64+50=114",
"114-70=44",
"44/2=22"
] | Current State: 22:[64, 50, 70, 2], Operations: []
Exploring Operation: 64+50=114, Resulting Numbers: [70, 2, 114]
Generated Node #2: [70, 2, 114] from Operation: 64+50=114
Current State: 22:[70, 2, 114], Operations: ['64+50=114']
Exploring Operation: 114-70=44, Resulting Numbers: [2, 44]
Generated Node #3: [2, 44] from Operation: 114-70=44
Current State: 22:[2, 44], Operations: ['64+50=114', '114-70=44']
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[64, 50, 70, 2], Operations: []
Exploring Operation: 70-50=20, Resulting Numbers: [64, 2, 20]
Generated Node #0,0: 22:[64, 2, 20] Operation: 70-50=20
Exploring Operation: 70-64=6, Resulting Numbers: [50, 2, 6]
Generated Node #0,1: 22:[50, 2, 6] Operation: 70-64=6
Start Sub Search at level 1: Moving to Node #0,1
Current State: 22:[50, 2, 6], Operations: ['70-64=6']
Exploring Operation: 50/2=25, Resulting Numbers: [6, 25]
Generated Node #0,1,0: 22:[6, 25] Operation: 50/2=25
Exploring Operation: 50-6=44, Resulting Numbers: [2, 44]
Generated Node #0,1,1: 22:[2, 44] Operation: 50-6=44
Moving to Node #0,1,0
Current State: 22:[6, 25], Operations: ['70-64=6', '50/2=25']
Exploring Operation: 6+25=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,22 unequal: No Solution
Moving to Node #0,1,1
Current State: 22:[2, 44], Operations: ['70-64=6', '50-6=44']
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[64, 50, 70, 2], Operations: []
Exploring Operation: 70-64=6, Resulting Numbers: [50, 2, 6]
Generated Node #0,1: 22:[50, 2, 6] Operation: 70-64=6
Moving to Node #0,1
Current State: 22:[50, 2, 6], Operations: ['70-64=6']
Exploring Operation: 50-6=44, Resulting Numbers: [2, 44]
Generated Node #0,1,1: 22:[2, 44] Operation: 50-6=44
Moving to Node #0,1,1
Current State: 22:[2, 44], Operations: ['70-64=6', '50-6=44']
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
12,
69,
23,
86
] | 77 | [
"86-12=74",
"69/23=3",
"74+3=77"
] | Current State: 77:[12, 69, 23, 86], Operations: []
Exploring Operation: 86-12=74, Resulting Numbers: [69, 23, 74]
Generated Node #2: [69, 23, 74] from Operation: 86-12=74
Current State: 77:[69, 23, 74], Operations: ['86-12=74']
Exploring Operation: 69/23=3, Resulting Numbers: [74, 3]
Generated Node #3: [74, 3] from Operation: 69/23=3
Current State: 77:[74, 3], Operations: ['86-12=74', '69/23=3']
Exploring Operation: 74+3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[12, 69, 23, 86], Operations: []
Exploring Operation: 86-12=74, Resulting Numbers: [69, 23, 74]
Generated Node #0,0: 77:[69, 23, 74] Operation: 86-12=74
Exploring Operation: 69/23=3, Resulting Numbers: [12, 86, 3]
Generated Node #0,1: 77:[12, 86, 3] Operation: 69/23=3
Exploring Operation: 23-12=11, Resulting Numbers: [69, 86, 11]
Generated Node #0,2: 77:[69, 86, 11] Operation: 23-12=11
Exploring Operation: 86-69=17, Resulting Numbers: [12, 23, 17]
Generated Node #0,3: 77:[12, 23, 17] Operation: 86-69=17
Start Sub Search at level 1: Moving to Node #0,1
Current State: 77:[12, 86, 3], Operations: ['69/23=3']
Exploring Operation: 86-12=74, Resulting Numbers: [3, 74]
Generated Node #0,1,0: 77:[3, 74] Operation: 86-12=74
Exploring Operation: 86-3=83, Resulting Numbers: [12, 83]
Generated Node #0,1,1: 77:[12, 83] Operation: 86-3=83
Exploring Operation: 12/3=4, Resulting Numbers: [86, 4]
Generated Node #0,1,2: 77:[86, 4] Operation: 12/3=4
Exploring Operation: 12-3=9, Resulting Numbers: [86, 9]
Generated Node #0,1,3: 77:[86, 9] Operation: 12-3=9
Moving to Node #0,1,0
Current State: 77:[3, 74], Operations: ['69/23=3', '86-12=74']
Exploring Operation: 3*74=222, Resulting Numbers: [222]
222,77 unequal: No Solution
Exploring Operation: 3+74=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[12, 69, 23, 86], Operations: []
Exploring Operation: 69/23=3, Resulting Numbers: [12, 86, 3]
Generated Node #0,1: 77:[12, 86, 3] Operation: 69/23=3
Moving to Node #0,1
Current State: 77:[12, 86, 3], Operations: ['69/23=3']
Exploring Operation: 86-12=74, Resulting Numbers: [3, 74]
Generated Node #0,1,0: 77:[3, 74] Operation: 86-12=74
Moving to Node #0,1,0
Current State: 77:[3, 74], Operations: ['69/23=3', '86-12=74']
Exploring Operation: 3+74=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
41,
30,
77,
2
] | 89 | [
"41+77=118",
"118/2=59",
"30+59=89"
] | Current State: 89:[41, 30, 77, 2], Operations: []
Exploring Operation: 41+77=118, Resulting Numbers: [30, 2, 118]
Generated Node #2: [30, 2, 118] from Operation: 41+77=118
Current State: 89:[30, 2, 118], Operations: ['41+77=118']
Exploring Operation: 118/2=59, Resulting Numbers: [30, 59]
Generated Node #3: [30, 59] from Operation: 118/2=59
Current State: 89:[30, 59], Operations: ['41+77=118', '118/2=59']
Exploring Operation: 30+59=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[41, 30, 77, 2], Operations: []
Exploring Operation: 41+30=71, Resulting Numbers: [77, 2, 71]
Generated Node #0,0: 89:[77, 2, 71] Operation: 41+30=71
Exploring Operation: 41*2=82, Resulting Numbers: [30, 77, 82]
Generated Node #0,1: 89:[30, 77, 82] Operation: 41*2=82
Exploring Operation: 30*2=60, Resulting Numbers: [41, 77, 60]
Generated Node #0,2: 89:[41, 77, 60] Operation: 30*2=60
Moving to Node #0,1
Current State: 89:[30, 77, 82], Operations: ['41*2=82']
Exploring Operation: 30+82=112, Resulting Numbers: [77, 112]
Generated Node #0,1,0: 89:[77, 112] Operation: 30+82=112
Exploring Operation: 77-30=47, Resulting Numbers: [82, 47]
Generated Node #0,1,1: 89:[82, 47] Operation: 77-30=47
Exploring Operation: 30+77=107, Resulting Numbers: [82, 107]
Generated Node #0,1,2: 89:[82, 107] Operation: 30+77=107
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 89:[82, 107], Operations: ['41*2=82', '30+77=107']
Exploring Operation: 107-82=25, Resulting Numbers: [25]
25,89 unequal: No Solution
Exploring Operation: 82+107=189, Resulting Numbers: [189]
189,89 unequal: No Solution
Exploring Operation: 82*107=8774, Resulting Numbers: [8774]
8774,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 89:[77, 112], Operations: ['41*2=82', '30+82=112']
Exploring Operation: 77+112=189, Resulting Numbers: [189]
189,89 unequal: No Solution
Exploring Operation: 77*112=8624, Resulting Numbers: [8624]
8624,89 unequal: No Solution
Exploring Operation: 112-77=35, Resulting Numbers: [35]
35,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 89:[82, 47], Operations: ['41*2=82', '77-30=47']
Exploring Operation: 82*47=3854, Resulting Numbers: [3854]
3854,89 unequal: No Solution
Exploring Operation: 82+47=129, Resulting Numbers: [129]
129,89 unequal: No Solution
Exploring Operation: 82-47=35, Resulting Numbers: [35]
35,89 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: 89:[41, 77, 60], Operations: ['30*2=60']
Exploring Operation: 41+77=118, Resulting Numbers: [60, 118]
Generated Node #0,2,0: 89:[60, 118] Operation: 41+77=118
Exploring Operation: 41+60=101, Resulting Numbers: [77, 101]
Generated Node #0,2,1: 89:[77, 101] Operation: 41+60=101
Exploring Operation: 77-41=36, Resulting Numbers: [60, 36]
Generated Node #0,2,2: 89:[60, 36] Operation: 77-41=36
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 89:[77, 101], Operations: ['30*2=60', '41+60=101']
Exploring Operation: 101-77=24, Resulting Numbers: [24]
24,89 unequal: No Solution
Exploring Operation: 77+101=178, Resulting Numbers: [178]
178,89 unequal: No Solution
Exploring Operation: 77*101=7777, Resulting Numbers: [7777]
7777,89 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 #0,2,0
Current State: 89:[60, 118], Operations: ['30*2=60', '41+77=118']
Exploring Operation: 118-60=58, Resulting Numbers: [58]
58,89 unequal: No Solution
Exploring Operation: 60+118=178, Resulting Numbers: [178]
178,89 unequal: No Solution
Exploring Operation: 60*118=7080, Resulting Numbers: [7080]
7080,89 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:[60, 36], Operations: ['30*2=60', '77-41=36']
Exploring Operation: 60-36=24, Resulting Numbers: [24]
24,89 unequal: No Solution
Exploring Operation: 60*36=2160, Resulting Numbers: [2160]
2160,89 unequal: No Solution
Exploring Operation: 60+36=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 #0,0
Current State: 89:[77, 2, 71], Operations: ['41+30=71']
Exploring Operation: 77+2=79, Resulting Numbers: [71, 79]
Generated Node #0,0,0: 89:[71, 79] Operation: 77+2=79
Exploring Operation: 2+71=73, Resulting Numbers: [77, 73]
Generated Node #0,0,1: 89:[77, 73] Operation: 2+71=73
Exploring Operation: 77-2=75, Resulting Numbers: [71, 75]
Generated Node #0,0,2: 89:[71, 75] Operation: 77-2=75
Moving to Node #0,0,0
Current State: 89:[71, 79], Operations: ['41+30=71', '77+2=79']
Exploring Operation: 71*79=5609, Resulting Numbers: [5609]
5609,89 unequal: No Solution
Exploring Operation: 79-71=8, Resulting Numbers: [8]
8,89 unequal: No Solution
Exploring Operation: 71+79=150, Resulting Numbers: [150]
150,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[77, 73], Operations: ['41+30=71', '2+71=73']
Exploring Operation: 77-73=4, Resulting Numbers: [4]
4,89 unequal: No Solution
Exploring Operation: 77*73=5621, Resulting Numbers: [5621]
5621,89 unequal: No Solution
Exploring Operation: 77+73=150, Resulting Numbers: [150]
150,89 unequal: No Solution
Moving to Node #0,0,2
Current State: 89:[71, 75], Operations: ['41+30=71', '77-2=75']
Exploring Operation: 71+75=146, Resulting Numbers: [146]
146,89 unequal: No Solution
Exploring Operation: 75-71=4, Resulting Numbers: [4]
4,89 unequal: No Solution
Exploring Operation: 71*75=5325, Resulting Numbers: [5325]
5325,89 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
24,
94,
93,
88
] | 64 | [
"88-24=64",
"94-93=1",
"64*1=64"
] | Current State: 64:[24, 94, 93, 88], Operations: []
Exploring Operation: 88-24=64, Resulting Numbers: [94, 93, 64]
Generated Node #2: [94, 93, 64] from Operation: 88-24=64
Current State: 64:[94, 93, 64], Operations: ['88-24=64']
Exploring Operation: 94-93=1, Resulting Numbers: [64, 1]
Generated Node #3: [64, 1] from Operation: 94-93=1
Current State: 64:[64, 1], Operations: ['88-24=64', '94-93=1']
Exploring Operation: 64*1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[24, 94, 93, 88], Operations: []
Exploring Operation: 94-93=1, Resulting Numbers: [24, 88, 1]
Generated Node #0,0: 64:[24, 88, 1] Operation: 94-93=1
Exploring Operation: 94-88=6, Resulting Numbers: [24, 93, 6]
Generated Node #0,1: 64:[24, 93, 6] Operation: 94-88=6
Exploring Operation: 94-24=70, Resulting Numbers: [93, 88, 70]
Generated Node #0,2: 64:[93, 88, 70] Operation: 94-24=70
Exploring Operation: 93-88=5, Resulting Numbers: [24, 94, 5]
Generated Node #0,3: 64:[24, 94, 5] Operation: 93-88=5
Moving to Node #0,0
Current State: 64:[24, 88, 1], Operations: ['94-93=1']
Exploring Operation: 24+1=25, Resulting Numbers: [88, 25]
Generated Node #0,0,0: 64:[88, 25] Operation: 24+1=25
Exploring Operation: 88-24=64, Resulting Numbers: [1, 64]
Generated Node #0,0,1: 64:[1, 64] Operation: 88-24=64
Exploring Operation: 24-1=23, Resulting Numbers: [88, 23]
Generated Node #0,0,2: 64:[88, 23] Operation: 24-1=23
Exploring Operation: 88-1=87, Resulting Numbers: [24, 87]
Generated Node #0,0,3: 64:[24, 87] Operation: 88-1=87
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 64:[1, 64], Operations: ['94-93=1', '88-24=64']
Exploring Operation: 64/1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[24, 94, 93, 88], Operations: []
Exploring Operation: 94-93=1, Resulting Numbers: [24, 88, 1]
Generated Node #0,0: 64:[24, 88, 1] Operation: 94-93=1
Moving to Node #0,0
Current State: 64:[24, 88, 1], Operations: ['94-93=1']
Exploring Operation: 88-24=64, Resulting Numbers: [1, 64]
Generated Node #0,0,1: 64:[1, 64] Operation: 88-24=64
Moving to Node #0,0,1
Current State: 64:[1, 64], Operations: ['94-93=1', '88-24=64']
Exploring Operation: 64/1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
97,
75,
25,
56
] | 71 | [
"75/25=3",
"56*3=168",
"168-97=71"
] | Current State: 71:[97, 75, 25, 56], Operations: []
Exploring Operation: 75/25=3, Resulting Numbers: [97, 56, 3]
Generated Node #2: [97, 56, 3] from Operation: 75/25=3
Current State: 71:[97, 56, 3], Operations: ['75/25=3']
Exploring Operation: 56*3=168, Resulting Numbers: [97, 168]
Generated Node #3: [97, 168] from Operation: 56*3=168
Current State: 71:[97, 168], Operations: ['75/25=3', '56*3=168']
Exploring Operation: 168-97=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[97, 75, 25, 56], Operations: []
Exploring Operation: 75-25=50, Resulting Numbers: [97, 56, 50]
Generated Node #0,0: 71:[97, 56, 50] Operation: 75-25=50
Exploring Operation: 97+25=122, Resulting Numbers: [75, 56, 122]
Generated Node #0,1: 71:[75, 56, 122] Operation: 97+25=122
Exploring Operation: 75+25=100, Resulting Numbers: [97, 56, 100]
Generated Node #0,2: 71:[97, 56, 100] Operation: 75+25=100
Exploring Operation: 97-25=72, Resulting Numbers: [75, 56, 72]
Generated Node #0,3: 71:[75, 56, 72] Operation: 97-25=72
Exploring Operation: 25+56=81, Resulting Numbers: [97, 75, 81]
Generated Node #0,4: 71:[97, 75, 81] Operation: 25+56=81
Start Sub Search at level 1: Moving to Node #0,3
Current State: 71:[75, 56, 72], Operations: ['97-25=72']
Exploring Operation: 72-56=16, Resulting Numbers: [75, 16]
Generated Node #0,3,0: 71:[75, 16] Operation: 72-56=16
Exploring Operation: 75+56=131, Resulting Numbers: [72, 131]
Generated Node #0,3,1: 71:[72, 131] Operation: 75+56=131
Exploring Operation: 75-56=19, Resulting Numbers: [72, 19]
Generated Node #0,3,2: 71:[72, 19] Operation: 75-56=19
Exploring Operation: 75-72=3, Resulting Numbers: [56, 3]
Generated Node #0,3,3: 71:[56, 3] Operation: 75-72=3
Exploring Operation: 56+72=128, Resulting Numbers: [75, 128]
Generated Node #0,3,4: 71:[75, 128] Operation: 56+72=128
Moving to Node #0,3,2
Current State: 71:[72, 19], Operations: ['97-25=72', '75-56=19']
Exploring Operation: 72+19=91, Resulting Numbers: [91]
91,71 unequal: No Solution
Exploring Operation: 72*19=1368, Resulting Numbers: [1368]
1368,71 unequal: No Solution
Exploring Operation: 72-19=53, Resulting Numbers: [53]
53,71 unequal: No Solution
Moving to Node #0,3,0
Current State: 71:[75, 16], Operations: ['97-25=72', '72-56=16']
Exploring Operation: 75*16=1200, Resulting Numbers: [1200]
1200,71 unequal: No Solution
Exploring Operation: 75-16=59, Resulting Numbers: [59]
59,71 unequal: No Solution
Exploring Operation: 75+16=91, Resulting Numbers: [91]
91,71 unequal: No Solution
Moving to Node #0,3,1
Current State: 71:[72, 131], Operations: ['97-25=72', '75+56=131']
Exploring Operation: 72*131=9432, Resulting Numbers: [9432]
9432,71 unequal: No Solution
Exploring Operation: 72+131=203, Resulting Numbers: [203]
203,71 unequal: No Solution
Exploring Operation: 131-72=59, Resulting Numbers: [59]
59,71 unequal: No Solution
Moving to Node #0,3,4
Current State: 71:[75, 128], Operations: ['97-25=72', '56+72=128']
Exploring Operation: 75*128=9600, Resulting Numbers: [9600]
9600,71 unequal: No Solution
Exploring Operation: 128-75=53, Resulting Numbers: [53]
53,71 unequal: No Solution
Exploring Operation: 75+128=203, Resulting Numbers: [203]
203,71 unequal: No Solution
Moving to Node #0,3,3
Current State: 71:[56, 3], Operations: ['97-25=72', '75-72=3']
Exploring Operation: 56*3=168, Resulting Numbers: [168]
168,71 unequal: No Solution
Exploring Operation: 56+3=59, Resulting Numbers: [59]
59,71 unequal: No Solution
Exploring Operation: 56-3=53, Resulting Numbers: [53]
53,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 71:[97, 75, 81], Operations: ['25+56=81']
Exploring Operation: 97+75=172, Resulting Numbers: [81, 172]
Generated Node #0,4,0: 71:[81, 172] Operation: 97+75=172
Exploring Operation: 97-81=16, Resulting Numbers: [75, 16]
Generated Node #0,4,1: 71:[75, 16] Operation: 97-81=16
Exploring Operation: 81-75=6, Resulting Numbers: [97, 6]
Generated Node #0,4,2: 71:[97, 6] Operation: 81-75=6
Exploring Operation: 97+81=178, Resulting Numbers: [75, 178]
Generated Node #0,4,3: 71:[75, 178] Operation: 97+81=178
Exploring Operation: 97-75=22, Resulting Numbers: [81, 22]
Generated Node #0,4,4: 71:[81, 22] Operation: 97-75=22
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 71:[75, 16], Operations: ['25+56=81', '97-81=16']
Exploring Operation: 75+16=91, Resulting Numbers: [91]
91,71 unequal: No Solution
Exploring Operation: 75*16=1200, Resulting Numbers: [1200]
1200,71 unequal: No Solution
Exploring Operation: 75-16=59, Resulting Numbers: [59]
59,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 71:[81, 22], Operations: ['25+56=81', '97-75=22']
Exploring Operation: 81-22=59, Resulting Numbers: [59]
59,71 unequal: No Solution
Exploring Operation: 81*22=1782, Resulting Numbers: [1782]
1782,71 unequal: No Solution
Exploring Operation: 81+22=103, Resulting Numbers: [103]
103,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 71:[97, 6], Operations: ['25+56=81', '81-75=6']
Exploring Operation: 97*6=582, Resulting Numbers: [582]
582,71 unequal: No Solution
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,71 unequal: No Solution
Exploring Operation: 97+6=103, Resulting Numbers: [103]
103,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 71:[81, 172], Operations: ['25+56=81', '97+75=172']
Exploring Operation: 81*172=13932, Resulting Numbers: [13932]
13932,71 unequal: No Solution
Exploring Operation: 172-81=91, Resulting Numbers: [91]
91,71 unequal: No Solution
Exploring Operation: 81+172=253, Resulting Numbers: [253]
253,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 71:[75, 178], Operations: ['25+56=81', '97+81=178']
Exploring Operation: 178-75=103, Resulting Numbers: [103]
103,71 unequal: No Solution
Exploring Operation: 75+178=253, Resulting Numbers: [253]
253,71 unequal: No Solution
Exploring Operation: 75*178=13350, Resulting Numbers: [13350]
13350,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[97, 56, 50], Operations: ['75-25=50']
Exploring Operation: 97-50=47, Resulting Numbers: [56, 47]
Generated Node #0,0,0: 71:[56, 47] Operation: 97-50=47
Exploring Operation: 97-56=41, Resulting Numbers: [50, 41]
Generated Node #0,0,1: 71:[50, 41] Operation: 97-56=41
Exploring Operation: 56-50=6, Resulting Numbers: [97, 6]
Generated Node #0,0,2: 71:[97, 6] Operation: 56-50=6
Exploring Operation: 56+50=106, Resulting Numbers: [97, 106]
Generated Node #0,0,3: 71:[97, 106] Operation: 56+50=106
Exploring Operation: 97+50=147, Resulting Numbers: [56, 147]
Generated Node #0,0,4: 71:[56, 147] Operation: 97+50=147
Moving to Node #0,0,0
Current State: 71:[56, 47], Operations: ['75-25=50', '97-50=47']
Exploring Operation: 56-47=9, Resulting Numbers: [9]
9,71 unequal: No Solution
Exploring Operation: 56+47=103, Resulting Numbers: [103]
103,71 unequal: No Solution
Exploring Operation: 56*47=2632, Resulting Numbers: [2632]
2632,71 unequal: No Solution
Moving to Node #0,0,1
Current State: 71:[50, 41], Operations: ['75-25=50', '97-56=41']
Exploring Operation: 50-41=9, Resulting Numbers: [9]
9,71 unequal: No Solution
Exploring Operation: 50*41=2050, Resulting Numbers: [2050]
2050,71 unequal: No Solution
Exploring Operation: 50+41=91, Resulting Numbers: [91]
91,71 unequal: No Solution
Moving to Node #0,0,3
Current State: 71:[97, 106], Operations: ['75-25=50', '56+50=106']
Exploring Operation: 97+106=203, Resulting Numbers: [203]
203,71 unequal: No Solution
Exploring Operation: 106-97=9, Resulting Numbers: [9]
9,71 unequal: No Solution
Exploring Operation: 97*106=10282, Resulting Numbers: [10282]
10282,71 unequal: No Solution
Moving to Node #0,0,2
Current State: 71:[97, 6], Operations: ['75-25=50', '56-50=6']
Exploring Operation: 97+6=103, Resulting Numbers: [103]
103,71 unequal: No Solution
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,71 unequal: No Solution
Exploring Operation: 97*6=582, Resulting Numbers: [582]
582,71 unequal: No Solution
Moving to Node #0,0,4
Current State: 71:[56, 147], Operations: ['75-25=50', '97+50=147']
Exploring Operation: 56*147=8232, Resulting Numbers: [8232]
8232,71 unequal: No Solution
Exploring Operation: 147-56=91, Resulting Numbers: [91]
91,71 unequal: No Solution
Exploring Operation: 56+147=203, Resulting Numbers: [203]
203,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 71:[75, 56, 122], Operations: ['97+25=122']
Exploring Operation: 122-56=66, Resulting Numbers: [75, 66]
Generated Node #0,1,0: 71:[75, 66] Operation: 122-56=66
Exploring Operation: 56+122=178, Resulting Numbers: [75, 178]
Generated Node #0,1,1: 71:[75, 178] Operation: 56+122=178
Exploring Operation: 122-75=47, Resulting Numbers: [56, 47]
Generated Node #0,1,2: 71:[56, 47] Operation: 122-75=47
Exploring Operation: 75+56=131, Resulting Numbers: [122, 131]
Generated Node #0,1,3: 71:[122, 131] Operation: 75+56=131
Exploring Operation: 75-56=19, Resulting Numbers: [122, 19]
Generated Node #0,1,4: 71:[122, 19] Operation: 75-56=19
Moving to Node #0,1,0
Current State: 71:[75, 66], Operations: ['97+25=122', '122-56=66']
Exploring Operation: 75+66=141, Resulting Numbers: [141]
141,71 unequal: No Solution
Exploring Operation: 75*66=4950, Resulting Numbers: [4950]
4950,71 unequal: No Solution
Exploring Operation: 75-66=9, Resulting Numbers: [9]
9,71 unequal: No Solution
Moving to Node #0,1,2
Current State: 71:[56, 47], Operations: ['97+25=122', '122-75=47']
Exploring Operation: 56*47=2632, Resulting Numbers: [2632]
2632,71 unequal: No Solution
Exploring Operation: 56-47=9, Resulting Numbers: [9]
9,71 unequal: No Solution
Exploring Operation: 56+47=103, Resulting Numbers: [103]
103,71 unequal: No Solution
Moving to Node #0,1,4
Current State: 71:[122, 19], Operations: ['97+25=122', '75-56=19']
Exploring Operation: 122*19=2318, Resulting Numbers: [2318]
2318,71 unequal: No Solution
Exploring Operation: 122+19=141, Resulting Numbers: [141]
141,71 unequal: No Solution
Exploring Operation: 122-19=103, Resulting Numbers: [103]
103,71 unequal: No Solution
Moving to Node #0,1,1
Current State: 71:[75, 178], Operations: ['97+25=122', '56+122=178']
Exploring Operation: 75*178=13350, Resulting Numbers: [13350]
13350,71 unequal: No Solution
Exploring Operation: 178-75=103, Resulting Numbers: [103]
103,71 unequal: No Solution
Exploring Operation: 75+178=253, Resulting Numbers: [253]
253,71 unequal: No Solution
Moving to Node #0,1,3
Current State: 71:[122, 131], Operations: ['97+25=122', '75+56=131']
Exploring Operation: 122*131=15982, Resulting Numbers: [15982]
15982,71 unequal: No Solution
Exploring Operation: 131-122=9, Resulting Numbers: [9]
9,71 unequal: No Solution
Exploring Operation: 122+131=253, Resulting Numbers: [253]
253,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 71:[97, 56, 100], Operations: ['75+25=100']
Exploring Operation: 97+56=153, Resulting Numbers: [100, 153]
Generated Node #0,2,0: 71:[100, 153] Operation: 97+56=153
Exploring Operation: 56+100=156, Resulting Numbers: [97, 156]
Generated Node #0,2,1: 71:[97, 156] Operation: 56+100=156
Exploring Operation: 97-56=41, Resulting Numbers: [100, 41]
Generated Node #0,2,2: 71:[100, 41] Operation: 97-56=41
Exploring Operation: 100-56=44, Resulting Numbers: [97, 44]
Generated Node #0,2,3: 71:[97, 44] Operation: 100-56=44
Exploring Operation: 100-97=3, Resulting Numbers: [56, 3]
Generated Node #0,2,4: 71:[56, 3] Operation: 100-97=3
Moving to Node #0,2,3
Current State: 71:[97, 44], Operations: ['75+25=100', '100-56=44']
Exploring Operation: 97+44=141, Resulting Numbers: [141]
141,71 unequal: No Solution
Exploring Operation: 97*44=4268, Resulting Numbers: [4268]
4268,71 unequal: No Solution
Exploring Operation: 97-44=53, Resulting Numbers: [53]
53,71 unequal: No Solution
Moving to Node #0,2,2
Current State: 71:[100, 41], Operations: ['75+25=100', '97-56=41']
Exploring Operation: 100*41=4100, Resulting Numbers: [4100]
4100,71 unequal: No Solution
Exploring Operation: 100+41=141, Resulting Numbers: [141]
141,71 unequal: No Solution
Exploring Operation: 100-41=59, Resulting Numbers: [59]
59,71 unequal: No Solution
Moving to Node #0,2,4
Current State: 71:[56, 3], Operations: ['75+25=100', '100-97=3']
Exploring Operation: 56*3=168, Resulting Numbers: [168]
168,71 unequal: No Solution
Exploring Operation: 56+3=59, Resulting Numbers: [59]
59,71 unequal: No Solution
Exploring Operation: 56-3=53, Resulting Numbers: [53]
53,71 unequal: No Solution
Moving to Node #0,2,0
Current State: 71:[100, 153], Operations: ['75+25=100', '97+56=153']
Exploring Operation: 100*153=15300, Resulting Numbers: [15300]
15300,71 unequal: No Solution
Exploring Operation: 153-100=53, Resulting Numbers: [53]
53,71 unequal: No Solution
Exploring Operation: 100+153=253, Resulting Numbers: [253]
253,71 unequal: No Solution
Moving to Node #0,2,1
Current State: 71:[97, 156], Operations: ['75+25=100', '56+100=156']
Exploring Operation: 97*156=15132, Resulting Numbers: [15132]
15132,71 unequal: No Solution
Exploring Operation: 97+156=253, Resulting Numbers: [253]
253,71 unequal: No Solution
Exploring Operation: 156-97=59, Resulting Numbers: [59]
59,71 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 |
[
65,
52,
30,
37
] | 67 | [
"52-37=15",
"30/15=2",
"65+2=67"
] | Current State: 67:[65, 52, 30, 37], Operations: []
Exploring Operation: 52-37=15, Resulting Numbers: [65, 30, 15]
Generated Node #2: [65, 30, 15] from Operation: 52-37=15
Current State: 67:[65, 30, 15], Operations: ['52-37=15']
Exploring Operation: 30/15=2, Resulting Numbers: [65, 2]
Generated Node #3: [65, 2] from Operation: 30/15=2
Current State: 67:[65, 2], Operations: ['52-37=15', '30/15=2']
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[65, 52, 30, 37], Operations: []
Exploring Operation: 30+37=67, Resulting Numbers: [65, 52, 67]
Generated Node #0,0: 67:[65, 52, 67] Operation: 30+37=67
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[65, 52, 67], Operations: ['30+37=67']
Exploring Operation: 65+52=117, Resulting Numbers: [67, 117]
Generated Node #0,0,0: 67:[67, 117] Operation: 65+52=117
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 67:[67, 117], Operations: ['30+37=67', '65+52=117']
Exploring Operation: 117-67=50, Resulting Numbers: [50]
50,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
56,
5,
81,
76
] | 66 | [
"56+5=61",
"81-76=5",
"61+5=66"
] | Current State: 66:[56, 5, 81, 76], Operations: []
Exploring Operation: 56+5=61, Resulting Numbers: [81, 76, 61]
Generated Node #2: [81, 76, 61] from Operation: 56+5=61
Current State: 66:[81, 76, 61], Operations: ['56+5=61']
Exploring Operation: 81-76=5, Resulting Numbers: [61, 5]
Generated Node #3: [61, 5] from Operation: 81-76=5
Current State: 66:[61, 5], Operations: ['56+5=61', '81-76=5']
Exploring Operation: 61+5=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[56, 5, 81, 76], Operations: []
Exploring Operation: 56+5=61, Resulting Numbers: [81, 76, 61]
Generated Node #0,0: 66:[81, 76, 61] Operation: 56+5=61
Exploring Operation: 81-76=5, Resulting Numbers: [56, 5, 5]
Generated Node #0,1: 66:[56, 5, 5] Operation: 81-76=5
Exploring Operation: 81-5=76, Resulting Numbers: [56, 76, 76]
Generated Node #0,2: 66:[56, 76, 76] Operation: 81-5=76
Exploring Operation: 81-56=25, Resulting Numbers: [5, 76, 25]
Generated Node #0,3: 66:[5, 76, 25] Operation: 81-56=25
Exploring Operation: 76-56=20, Resulting Numbers: [5, 81, 20]
Generated Node #0,4: 66:[5, 81, 20] Operation: 76-56=20
Start Sub Search at level 1: Moving to Node #0,1
Current State: 66:[56, 5, 5], Operations: ['81-76=5']
Exploring Operation: 56+5=61, Resulting Numbers: [5, 61]
Generated Node #0,1,0: 66:[5, 61] Operation: 56+5=61
Exploring Operation: 56+5=61, Resulting Numbers: [5, 61]
Generated Node #0,1,1: 66:[5, 61] Operation: 56+5=61
Exploring Operation: 5+5=10, Resulting Numbers: [56, 10]
Generated Node #0,1,2: 66:[56, 10] Operation: 5+5=10
Exploring Operation: 5/5=1, Resulting Numbers: [56, 1]
Generated Node #0,1,3: 66:[56, 1] Operation: 5/5=1
Exploring Operation: 5-5=0, Resulting Numbers: [56, 0]
Generated Node #0,1,4: 66:[56, 0] Operation: 5-5=0
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 66:[5, 61], Operations: ['81-76=5', '56+5=61']
Exploring Operation: 5+61=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[56, 5, 81, 76], Operations: []
Exploring Operation: 81-76=5, Resulting Numbers: [56, 5, 5]
Generated Node #0,1: 66:[56, 5, 5] Operation: 81-76=5
Moving to Node #0,1
Current State: 66:[56, 5, 5], Operations: ['81-76=5']
Exploring Operation: 56+5=61, Resulting Numbers: [5, 61]
Generated Node #0,1,0: 66:[5, 61] Operation: 56+5=61
Moving to Node #0,1,0
Current State: 66:[5, 61], Operations: ['81-76=5', '56+5=61']
Exploring Operation: 5+61=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
78,
36,
56,
12
] | 91 | [
"78*56=4368",
"36+12=48",
"4368/48=91"
] | Current State: 91:[78, 36, 56, 12], Operations: []
Exploring Operation: 78*56=4368, Resulting Numbers: [36, 12, 4368]
Generated Node #2: [36, 12, 4368] from Operation: 78*56=4368
Current State: 91:[36, 12, 4368], Operations: ['78*56=4368']
Exploring Operation: 36+12=48, Resulting Numbers: [4368, 48]
Generated Node #3: [4368, 48] from Operation: 36+12=48
Current State: 91:[4368, 48], Operations: ['78*56=4368', '36+12=48']
Exploring Operation: 4368/48=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[78, 36, 56, 12], Operations: []
Exploring Operation: 36+56=92, Resulting Numbers: [78, 12, 92]
Generated Node #0,0: 91:[78, 12, 92] Operation: 36+56=92
Exploring Operation: 56-36=20, Resulting Numbers: [78, 12, 20]
Generated Node #0,1: 91:[78, 12, 20] Operation: 56-36=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[78, 12, 92], Operations: ['36+56=92']
Exploring Operation: 92-78=14, Resulting Numbers: [12, 14]
Generated Node #0,0,0: 91:[12, 14] Operation: 92-78=14
Exploring Operation: 78+12=90, Resulting Numbers: [92, 90]
Generated Node #0,0,1: 91:[92, 90] Operation: 78+12=90
Moving to Node #0,0,0
Current State: 91:[12, 14], Operations: ['36+56=92', '92-78=14']
Exploring Operation: 12+14=26, Resulting Numbers: [26]
26,91 unequal: No Solution
Exploring Operation: 14-12=2, Resulting Numbers: [2]
2,91 unequal: No Solution
Moving to Node #0,0,1
Current State: 91:[92, 90], Operations: ['36+56=92', '78+12=90']
Exploring Operation: 92-90=2, Resulting Numbers: [2]
2,91 unequal: No Solution
Exploring Operation: 92+90=182, Resulting Numbers: [182]
182,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[78, 12, 20], Operations: ['56-36=20']
Exploring Operation: 78+12=90, Resulting Numbers: [20, 90]
Generated Node #0,1,0: 91:[20, 90] Operation: 78+12=90
Exploring Operation: 78+20=98, Resulting Numbers: [12, 98]
Generated Node #0,1,1: 91:[12, 98] Operation: 78+20=98
Moving to Node #0,1,0
Current State: 91:[20, 90], Operations: ['56-36=20', '78+12=90']
Exploring Operation: 90-20=70, Resulting Numbers: [70]
70,91 unequal: No Solution
Exploring Operation: 20+90=110, Resulting Numbers: [110]
110,91 unequal: No Solution
Moving to Node #0,1,1
Current State: 91:[12, 98], Operations: ['56-36=20', '78+20=98']
Exploring Operation: 12+98=110, Resulting Numbers: [110]
110,91 unequal: No Solution
Exploring Operation: 98-12=86, Resulting Numbers: [86]
86,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
80,
54,
69,
57
] | 18 | [
"80-57=23",
"54*23=1242",
"1242/69=18"
] | Current State: 18:[80, 54, 69, 57], Operations: []
Exploring Operation: 80-57=23, Resulting Numbers: [54, 69, 23]
Generated Node #2: [54, 69, 23] from Operation: 80-57=23
Current State: 18:[54, 69, 23], Operations: ['80-57=23']
Exploring Operation: 54*23=1242, Resulting Numbers: [69, 1242]
Generated Node #3: [69, 1242] from Operation: 54*23=1242
Current State: 18:[69, 1242], Operations: ['80-57=23', '54*23=1242']
Exploring Operation: 1242/69=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[80, 54, 69, 57], Operations: []
Exploring Operation: 80-57=23, Resulting Numbers: [54, 69, 23]
Generated Node #0,0: 18:[54, 69, 23] Operation: 80-57=23
Exploring Operation: 80-54=26, Resulting Numbers: [69, 57, 26]
Generated Node #0,1: 18:[69, 57, 26] Operation: 80-54=26
Exploring Operation: 69-57=12, Resulting Numbers: [80, 54, 12]
Generated Node #0,2: 18:[80, 54, 12] Operation: 69-57=12
Exploring Operation: 80-69=11, Resulting Numbers: [54, 57, 11]
Generated Node #0,3: 18:[54, 57, 11] Operation: 80-69=11
Moving to Node #0,3
Current State: 18:[54, 57, 11], Operations: ['80-69=11']
Exploring Operation: 57-54=3, Resulting Numbers: [11, 3]
Generated Node #0,3,0: 18:[11, 3] Operation: 57-54=3
Exploring Operation: 57-11=46, Resulting Numbers: [54, 46]
Generated Node #0,3,1: 18:[54, 46] Operation: 57-11=46
Exploring Operation: 54-11=43, Resulting Numbers: [57, 43]
Generated Node #0,3,2: 18:[57, 43] Operation: 54-11=43
Exploring Operation: 54+11=65, Resulting Numbers: [57, 65]
Generated Node #0,3,3: 18:[57, 65] Operation: 54+11=65
Moving to Node #0,0
Current State: 18:[54, 69, 23], Operations: ['80-57=23']
Exploring Operation: 69/23=3, Resulting Numbers: [54, 3]
Generated Node #0,0,0: 18:[54, 3] Operation: 69/23=3
Exploring Operation: 54-23=31, Resulting Numbers: [69, 31]
Generated Node #0,0,1: 18:[69, 31] Operation: 54-23=31
Exploring Operation: 69-23=46, Resulting Numbers: [54, 46]
Generated Node #0,0,2: 18:[54, 46] Operation: 69-23=46
Exploring Operation: 69-54=15, Resulting Numbers: [23, 15]
Generated Node #0,0,3: 18:[23, 15] Operation: 69-54=15
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 18:[23, 15], Operations: ['80-57=23', '69-54=15']
Exploring Operation: 23-15=8, Resulting Numbers: [8]
8,18 unequal: No Solution
Exploring Operation: 23+15=38, Resulting Numbers: [38]
38,18 unequal: No Solution
Exploring Operation: 23*15=345, Resulting Numbers: [345]
345,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 18:[54, 3], Operations: ['80-57=23', '69/23=3']
Exploring Operation: 54+3=57, Resulting Numbers: [57]
57,18 unequal: No Solution
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,18 unequal: No Solution
Exploring Operation: 54*3=162, Resulting Numbers: [162]
162,18 unequal: No Solution
Exploring Operation: 54/3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[80, 54, 69, 57], Operations: []
Exploring Operation: 80-57=23, Resulting Numbers: [54, 69, 23]
Generated Node #0,0: 18:[54, 69, 23] Operation: 80-57=23
Moving to Node #0,0
Current State: 18:[54, 69, 23], Operations: ['80-57=23']
Exploring Operation: 69/23=3, Resulting Numbers: [54, 3]
Generated Node #0,0,0: 18:[54, 3] Operation: 69/23=3
Moving to Node #0,0,0
Current State: 18:[54, 3], Operations: ['80-57=23', '69/23=3']
Exploring Operation: 54/3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_4 | sum_heuristic |
[
17,
3,
23,
72
] | 22 | [
"23-17=6",
"72-6=66",
"66/3=22"
] | Current State: 22:[17, 3, 23, 72], Operations: []
Exploring Operation: 23-17=6, Resulting Numbers: [3, 72, 6]
Generated Node #2: [3, 72, 6] from Operation: 23-17=6
Current State: 22:[3, 72, 6], Operations: ['23-17=6']
Exploring Operation: 72-6=66, Resulting Numbers: [3, 66]
Generated Node #3: [3, 66] from Operation: 72-6=66
Current State: 22:[3, 66], Operations: ['23-17=6', '72-6=66']
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[17, 3, 23, 72], Operations: []
Exploring Operation: 72/3=24, Resulting Numbers: [17, 23, 24]
Generated Node #0,0: 22:[17, 23, 24] Operation: 72/3=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[17, 23, 24], Operations: ['72/3=24']
Exploring Operation: 24-17=7, Resulting Numbers: [23, 7]
Generated Node #0,0,0: 22:[23, 7] Operation: 24-17=7
Moving to Node #0,0,0
Current State: 22:[23, 7], Operations: ['72/3=24', '24-17=7']
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
26,
74,
1,
28
] | 74 | [
"26+1=27",
"28-27=1",
"74*1=74"
] | Current State: 74:[26, 74, 1, 28], Operations: []
Exploring Operation: 26+1=27, Resulting Numbers: [74, 28, 27]
Generated Node #2: [74, 28, 27] from Operation: 26+1=27
Current State: 74:[74, 28, 27], Operations: ['26+1=27']
Exploring Operation: 28-27=1, Resulting Numbers: [74, 1]
Generated Node #3: [74, 1] from Operation: 28-27=1
Current State: 74:[74, 1], Operations: ['26+1=27', '28-27=1']
Exploring Operation: 74*1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[26, 74, 1, 28], Operations: []
Exploring Operation: 26+1=27, Resulting Numbers: [74, 28, 27]
Generated Node #0,0: 74:[74, 28, 27] Operation: 26+1=27
Exploring Operation: 28-26=2, Resulting Numbers: [74, 1, 2]
Generated Node #0,1: 74:[74, 1, 2] Operation: 28-26=2
Exploring Operation: 1+28=29, Resulting Numbers: [26, 74, 29]
Generated Node #0,2: 74:[26, 74, 29] Operation: 1+28=29
Exploring Operation: 26+28=54, Resulting Numbers: [74, 1, 54]
Generated Node #0,3: 74:[74, 1, 54] Operation: 26+28=54
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[74, 1, 2], Operations: ['28-26=2']
Exploring Operation: 74*1=74, Resulting Numbers: [2, 74]
Generated Node #0,1,0: 74:[2, 74] Operation: 74*1=74
Exploring Operation: 2/1=2, Resulting Numbers: [74, 2]
Generated Node #0,1,1: 74:[74, 2] Operation: 2/1=2
Exploring Operation: 74/1=74, Resulting Numbers: [2, 74]
Generated Node #0,1,2: 74:[2, 74] Operation: 74/1=74
Exploring Operation: 1*2=2, Resulting Numbers: [74, 2]
Generated Node #0,1,3: 74:[74, 2] Operation: 1*2=2
Moving to Node #0,1,0
Current State: 74:[2, 74], Operations: ['28-26=2', '74*1=74']
Exploring Operation: 2*74=148, Resulting Numbers: [148]
148,74 unequal: No Solution
Exploring Operation: 2+74=76, Resulting Numbers: [76]
76,74 unequal: No Solution
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Exploring Operation: 74-2=72, Resulting Numbers: [72]
72,74 unequal: No Solution
Moving to Node #0,1,2
Current State: 74:[2, 74], Operations: ['28-26=2', '74/1=74']
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Exploring Operation: 2+74=76, Resulting Numbers: [76]
76,74 unequal: No Solution
Exploring Operation: 2*74=148, Resulting Numbers: [148]
148,74 unequal: No Solution
Exploring Operation: 74-2=72, Resulting Numbers: [72]
72,74 unequal: No Solution
Moving to Node #0,1,1
Current State: 74:[74, 2], Operations: ['28-26=2', '2/1=2']
Exploring Operation: 74-2=72, Resulting Numbers: [72]
72,74 unequal: No Solution
Exploring Operation: 74+2=76, Resulting Numbers: [76]
76,74 unequal: No Solution
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Exploring Operation: 74*2=148, Resulting Numbers: [148]
148,74 unequal: No Solution
Moving to Node #0,1,3
Current State: 74:[74, 2], Operations: ['28-26=2', '1*2=2']
Exploring Operation: 74+2=76, Resulting Numbers: [76]
76,74 unequal: No Solution
Exploring Operation: 74*2=148, Resulting Numbers: [148]
148,74 unequal: No Solution
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Exploring Operation: 74-2=72, Resulting Numbers: [72]
72,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 74:[74, 1, 54], Operations: ['26+28=54']
Exploring Operation: 74*1=74, Resulting Numbers: [54, 74]
Generated Node #0,3,0: 74:[54, 74] Operation: 74*1=74
Exploring Operation: 74/1=74, Resulting Numbers: [54, 74]
Generated Node #0,3,1: 74:[54, 74] Operation: 74/1=74
Exploring Operation: 54-1=53, Resulting Numbers: [74, 53]
Generated Node #0,3,2: 74:[74, 53] Operation: 54-1=53
Exploring Operation: 1*54=54, Resulting Numbers: [74, 54]
Generated Node #0,3,3: 74:[74, 54] Operation: 1*54=54
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 74:[74, 53], Operations: ['26+28=54', '54-1=53']
Exploring Operation: 74+53=127, Resulting Numbers: [127]
127,74 unequal: No Solution
Exploring Operation: 74*53=3922, Resulting Numbers: [3922]
3922,74 unequal: No Solution
Exploring Operation: 74-53=21, Resulting Numbers: [21]
21,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 74:[54, 74], Operations: ['26+28=54', '74*1=74']
Exploring Operation: 54*74=3996, Resulting Numbers: [3996]
3996,74 unequal: No Solution
Exploring Operation: 54+74=128, Resulting Numbers: [128]
128,74 unequal: No Solution
Exploring Operation: 74-54=20, Resulting Numbers: [20]
20,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 74:[54, 74], Operations: ['26+28=54', '74/1=74']
Exploring Operation: 54*74=3996, Resulting Numbers: [3996]
3996,74 unequal: No Solution
Exploring Operation: 54+74=128, Resulting Numbers: [128]
128,74 unequal: No Solution
Exploring Operation: 74-54=20, Resulting Numbers: [20]
20,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 74:[74, 54], Operations: ['26+28=54', '1*54=54']
Exploring Operation: 74*54=3996, Resulting Numbers: [3996]
3996,74 unequal: No Solution
Exploring Operation: 74-54=20, Resulting Numbers: [20]
20,74 unequal: No Solution
Exploring Operation: 74+54=128, Resulting Numbers: [128]
128,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[74, 28, 27], Operations: ['26+1=27']
Exploring Operation: 74-28=46, Resulting Numbers: [27, 46]
Generated Node #0,0,0: 74:[27, 46] Operation: 74-28=46
Exploring Operation: 74-27=47, Resulting Numbers: [28, 47]
Generated Node #0,0,1: 74:[28, 47] Operation: 74-27=47
Exploring Operation: 28+27=55, Resulting Numbers: [74, 55]
Generated Node #0,0,2: 74:[74, 55] Operation: 28+27=55
Exploring Operation: 28-27=1, Resulting Numbers: [74, 1]
Generated Node #0,0,3: 74:[74, 1] Operation: 28-27=1
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 74:[74, 1], Operations: ['26+1=27', '28-27=1']
Exploring Operation: 74/1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[26, 74, 1, 28], Operations: []
Exploring Operation: 26+1=27, Resulting Numbers: [74, 28, 27]
Generated Node #0,0: 74:[74, 28, 27] Operation: 26+1=27
Moving to Node #0,0
Current State: 74:[74, 28, 27], Operations: ['26+1=27']
Exploring Operation: 28-27=1, Resulting Numbers: [74, 1]
Generated Node #0,0,3: 74:[74, 1] Operation: 28-27=1
Moving to Node #0,0,3
Current State: 74:[74, 1], Operations: ['26+1=27', '28-27=1']
Exploring Operation: 74/1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.957465 | hs_4 | mult_heuristic |
[
91,
48,
58,
12
] | 27 | [
"91-48=43",
"58+12=70",
"70-43=27"
] | Current State: 27:[91, 48, 58, 12], Operations: []
Exploring Operation: 91-48=43, Resulting Numbers: [58, 12, 43]
Generated Node #2: [58, 12, 43] from Operation: 91-48=43
Current State: 27:[58, 12, 43], Operations: ['91-48=43']
Exploring Operation: 58+12=70, Resulting Numbers: [43, 70]
Generated Node #3: [43, 70] from Operation: 58+12=70
Current State: 27:[43, 70], Operations: ['91-48=43', '58+12=70']
Exploring Operation: 70-43=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[91, 48, 58, 12], Operations: []
Exploring Operation: 91-58=33, Resulting Numbers: [48, 12, 33]
Generated Node #0,0: 27:[48, 12, 33] Operation: 91-58=33
Exploring Operation: 58-48=10, Resulting Numbers: [91, 12, 10]
Generated Node #0,1: 27:[91, 12, 10] Operation: 58-48=10
Exploring Operation: 91-48=43, Resulting Numbers: [58, 12, 43]
Generated Node #0,2: 27:[58, 12, 43] Operation: 91-48=43
Moving to Node #0,0
Current State: 27:[48, 12, 33], Operations: ['91-58=33']
Exploring Operation: 48/12=4, Resulting Numbers: [33, 4]
Generated Node #0,0,0: 27:[33, 4] Operation: 48/12=4
Exploring Operation: 48-33=15, Resulting Numbers: [12, 15]
Generated Node #0,0,1: 27:[12, 15] Operation: 48-33=15
Exploring Operation: 48-12=36, Resulting Numbers: [33, 36]
Generated Node #0,0,2: 27:[33, 36] Operation: 48-12=36
Moving to Node #0,2
Current State: 27:[58, 12, 43], Operations: ['91-48=43']
Exploring Operation: 58-12=46, Resulting Numbers: [43, 46]
Generated Node #0,2,0: 27:[43, 46] Operation: 58-12=46
Exploring Operation: 43-12=31, Resulting Numbers: [58, 31]
Generated Node #0,2,1: 27:[58, 31] Operation: 43-12=31
Exploring Operation: 58-43=15, Resulting Numbers: [12, 15]
Generated Node #0,2,2: 27:[12, 15] Operation: 58-43=15
Moving to Node #0,1
Current State: 27:[91, 12, 10], Operations: ['58-48=10']
Exploring Operation: 12-10=2, Resulting Numbers: [91, 2]
Generated Node #0,1,0: 27:[91, 2] Operation: 12-10=2
Exploring Operation: 91-12=79, Resulting Numbers: [10, 79]
Generated Node #0,1,1: 27:[10, 79] Operation: 91-12=79
Exploring Operation: 91-10=81, Resulting Numbers: [12, 81]
Generated Node #0,1,2: 27:[12, 81] Operation: 91-10=81
Moving to Node #0,0,0
Current State: 27:[33, 4], Operations: ['91-58=33', '48/12=4']
Exploring Operation: 33*4=132, Resulting Numbers: [132]
132,27 unequal: No Solution
Exploring Operation: 33+4=37, Resulting Numbers: [37]
37,27 unequal: No Solution
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,27 unequal: No Solution
Moving to Node #0,0,1
Current State: 27:[12, 15], Operations: ['91-58=33', '48-33=15']
Exploring Operation: 15-12=3, Resulting Numbers: [3]
3,27 unequal: No Solution
Exploring Operation: 12+15=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[91, 48, 58, 12], Operations: []
Exploring Operation: 91-58=33, Resulting Numbers: [48, 12, 33]
Generated Node #0,0: 27:[48, 12, 33] Operation: 91-58=33
Moving to Node #0,0
Current State: 27:[48, 12, 33], Operations: ['91-58=33']
Exploring Operation: 48-33=15, Resulting Numbers: [12, 15]
Generated Node #0,0,1: 27:[12, 15] Operation: 48-33=15
Moving to Node #0,0,1
Current State: 27:[12, 15], Operations: ['91-58=33', '48-33=15']
Exploring Operation: 12+15=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 0.981771 | hs_3 | sum_heuristic |
[
38,
88,
30,
36
] | 59 | [
"38-36=2",
"88+30=118",
"118/2=59"
] | Current State: 59:[38, 88, 30, 36], Operations: []
Exploring Operation: 38-36=2, Resulting Numbers: [88, 30, 2]
Generated Node #2: [88, 30, 2] from Operation: 38-36=2
Current State: 59:[88, 30, 2], Operations: ['38-36=2']
Exploring Operation: 88+30=118, Resulting Numbers: [2, 118]
Generated Node #3: [2, 118] from Operation: 88+30=118
Current State: 59:[2, 118], Operations: ['38-36=2', '88+30=118']
Exploring Operation: 118/2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[38, 88, 30, 36], Operations: []
Exploring Operation: 88-30=58, Resulting Numbers: [38, 36, 58]
Generated Node #0,0: 59:[38, 36, 58] Operation: 88-30=58
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[38, 36, 58], Operations: ['88-30=58']
Exploring Operation: 38+36=74, Resulting Numbers: [58, 74]
Generated Node #0,0,0: 59:[58, 74] Operation: 38+36=74
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 59:[58, 74], Operations: ['88-30=58', '38+36=74']
Exploring Operation: 74-58=16, Resulting Numbers: [16]
16,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
71,
81,
35,
34
] | 83 | [
"71+81=152",
"35+34=69",
"152-69=83"
] | Current State: 83:[71, 81, 35, 34], Operations: []
Exploring Operation: 71+81=152, Resulting Numbers: [35, 34, 152]
Generated Node #2: [35, 34, 152] from Operation: 71+81=152
Current State: 83:[35, 34, 152], Operations: ['71+81=152']
Exploring Operation: 35+34=69, Resulting Numbers: [152, 69]
Generated Node #3: [152, 69] from Operation: 35+34=69
Current State: 83:[152, 69], Operations: ['71+81=152', '35+34=69']
Exploring Operation: 152-69=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[71, 81, 35, 34], Operations: []
Exploring Operation: 71+34=105, Resulting Numbers: [81, 35, 105]
Generated Node #0,0: 83:[81, 35, 105] Operation: 71+34=105
Exploring Operation: 81+34=115, Resulting Numbers: [71, 35, 115]
Generated Node #0,1: 83:[71, 35, 115] Operation: 81+34=115
Exploring Operation: 81+35=116, Resulting Numbers: [71, 34, 116]
Generated Node #0,2: 83:[71, 34, 116] Operation: 81+35=116
Exploring Operation: 35+34=69, Resulting Numbers: [71, 81, 69]
Generated Node #0,3: 83:[71, 81, 69] Operation: 35+34=69
Exploring Operation: 71+35=106, Resulting Numbers: [81, 34, 106]
Generated Node #0,4: 83:[81, 34, 106] Operation: 71+35=106
Moving to Node #0,3
Current State: 83:[71, 81, 69], Operations: ['35+34=69']
Exploring Operation: 71+69=140, Resulting Numbers: [81, 140]
Generated Node #0,3,0: 83:[81, 140] Operation: 71+69=140
Exploring Operation: 71+81=152, Resulting Numbers: [69, 152]
Generated Node #0,3,1: 83:[69, 152] Operation: 71+81=152
Exploring Operation: 81+69=150, Resulting Numbers: [71, 150]
Generated Node #0,3,2: 83:[71, 150] Operation: 81+69=150
Exploring Operation: 71-69=2, Resulting Numbers: [81, 2]
Generated Node #0,3,3: 83:[81, 2] Operation: 71-69=2
Exploring Operation: 81-69=12, Resulting Numbers: [71, 12]
Generated Node #0,3,4: 83:[71, 12] Operation: 81-69=12
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 83:[81, 140], Operations: ['35+34=69', '71+69=140']
Exploring Operation: 81+140=221, Resulting Numbers: [221]
221,83 unequal: No Solution
Exploring Operation: 140-81=59, Resulting Numbers: [59]
59,83 unequal: No Solution
Exploring Operation: 81*140=11340, Resulting Numbers: [11340]
11340,83 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 #0,3,2
Current State: 83:[71, 150], Operations: ['35+34=69', '81+69=150']
Exploring Operation: 150-71=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Exploring Operation: 71+150=221, Resulting Numbers: [221]
221,83 unequal: No Solution
Exploring Operation: 71*150=10650, Resulting Numbers: [10650]
10650,83 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 #0,3,1
Current State: 83:[69, 152], Operations: ['35+34=69', '71+81=152']
Exploring Operation: 69+152=221, Resulting Numbers: [221]
221,83 unequal: No Solution
Exploring Operation: 152-69=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[71, 81, 35, 34], Operations: []
Exploring Operation: 35+34=69, Resulting Numbers: [71, 81, 69]
Generated Node #0,3: 83:[71, 81, 69] Operation: 35+34=69
Moving to Node #0,3
Current State: 83:[71, 81, 69], Operations: ['35+34=69']
Exploring Operation: 71+81=152, Resulting Numbers: [69, 152]
Generated Node #0,3,1: 83:[69, 152] Operation: 71+81=152
Moving to Node #0,3,1
Current State: 83:[69, 152], Operations: ['35+34=69', '71+81=152']
Exploring Operation: 152-69=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | sum_heuristic |
[
55,
53,
47,
2
] | 98 | [
"55-53=2",
"47+2=49",
"2*49=98"
] | Current State: 98:[55, 53, 47, 2], Operations: []
Exploring Operation: 55-53=2, Resulting Numbers: [47, 2, 2]
Generated Node #2: [47, 2, 2] from Operation: 55-53=2
Current State: 98:[47, 2, 2], Operations: ['55-53=2']
Exploring Operation: 47+2=49, Resulting Numbers: [49]
49,98 equal: Goal Reached
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[55, 53, 47, 2], Operations: []
Exploring Operation: 55-53=2, Resulting Numbers: [47, 2, 2]
Generated Node #0,0: 98:[47, 2, 2] Operation: 55-53=2
Exploring Operation: 55+47=102, Resulting Numbers: [53, 2, 102]
Generated Node #0,1: 98:[53, 2, 102] Operation: 55+47=102
Exploring Operation: 53+47=100, Resulting Numbers: [55, 2, 100]
Generated Node #0,2: 98:[55, 2, 100] Operation: 53+47=100
Exploring Operation: 55-47=8, Resulting Numbers: [53, 2, 8]
Generated Node #0,3: 98:[53, 2, 8] Operation: 55-47=8
Exploring Operation: 53-47=6, Resulting Numbers: [55, 2, 6]
Generated Node #0,4: 98:[55, 2, 6] Operation: 53-47=6
Moving to Node #0,0
Current State: 98:[47, 2, 2], Operations: ['55-53=2']
Exploring Operation: 47-2=45, Resulting Numbers: [2, 45]
Generated Node #0,0,0: 98:[2, 45] Operation: 47-2=45
Exploring Operation: 47+2=49, Resulting Numbers: [2, 49]
Generated Node #0,0,1: 98:[2, 49] Operation: 47+2=49
Exploring Operation: 2/2=1, Resulting Numbers: [47, 1]
Generated Node #0,0,2: 98:[47, 1] Operation: 2/2=1
Exploring Operation: 47+2=49, Resulting Numbers: [2, 49]
Generated Node #0,0,3: 98:[2, 49] Operation: 47+2=49
Exploring Operation: 47*2=94, Resulting Numbers: [2, 94]
Generated Node #0,0,4: 98:[2, 94] Operation: 47*2=94
Moving to Node #0,3
Current State: 98:[53, 2, 8], Operations: ['55-47=8']
Exploring Operation: 2*8=16, Resulting Numbers: [53, 16]
Generated Node #0,3,0: 98:[53, 16] Operation: 2*8=16
Exploring Operation: 53-8=45, Resulting Numbers: [2, 45]
Generated Node #0,3,1: 98:[2, 45] Operation: 53-8=45
Exploring Operation: 8/2=4, Resulting Numbers: [53, 4]
Generated Node #0,3,2: 98:[53, 4] Operation: 8/2=4
Exploring Operation: 8-2=6, Resulting Numbers: [53, 6]
Generated Node #0,3,3: 98:[53, 6] Operation: 8-2=6
Exploring Operation: 53-2=51, Resulting Numbers: [8, 51]
Generated Node #0,3,4: 98:[8, 51] Operation: 53-2=51
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 98:[8, 51], Operations: ['55-47=8', '53-2=51']
Exploring Operation: 51-8=43, Resulting Numbers: [43]
43,98 unequal: No Solution
Exploring Operation: 8*51=408, Resulting Numbers: [408]
408,98 unequal: No Solution
Exploring Operation: 8+51=59, Resulting Numbers: [59]
59,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 98:[2, 45], Operations: ['55-47=8', '53-8=45']
Exploring Operation: 2*45=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,98 unequal: No Solution
Exploring Operation: 2+45=47, Resulting Numbers: [47]
47,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 98:[53, 6], Operations: ['55-47=8', '8-2=6']
Exploring Operation: 53+6=59, Resulting Numbers: [59]
59,98 unequal: No Solution
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,98 unequal: No Solution
Exploring Operation: 53*6=318, Resulting Numbers: [318]
318,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 98:[53, 16], Operations: ['55-47=8', '2*8=16']
Exploring Operation: 53-16=37, Resulting Numbers: [37]
37,98 unequal: No Solution
Exploring Operation: 53*16=848, Resulting Numbers: [848]
848,98 unequal: No Solution
Exploring Operation: 53+16=69, Resulting Numbers: [69]
69,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 98:[53, 4], Operations: ['55-47=8', '8/2=4']
Exploring Operation: 53*4=212, Resulting Numbers: [212]
212,98 unequal: No Solution
Exploring Operation: 53+4=57, Resulting Numbers: [57]
57,98 unequal: No Solution
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,98 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: 98:[55, 2, 6], Operations: ['53-47=6']
Exploring Operation: 55-2=53, Resulting Numbers: [6, 53]
Generated Node #0,4,0: 98:[6, 53] Operation: 55-2=53
Exploring Operation: 55-6=49, Resulting Numbers: [2, 49]
Generated Node #0,4,1: 98:[2, 49] Operation: 55-6=49
Exploring Operation: 6/2=3, Resulting Numbers: [55, 3]
Generated Node #0,4,2: 98:[55, 3] Operation: 6/2=3
Exploring Operation: 2+6=8, Resulting Numbers: [55, 8]
Generated Node #0,4,3: 98:[55, 8] Operation: 2+6=8
Exploring Operation: 2*6=12, Resulting Numbers: [55, 12]
Generated Node #0,4,4: 98:[55, 12] Operation: 2*6=12
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 98:[2, 49], Operations: ['53-47=6', '55-6=49']
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,98 unequal: No Solution
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[55, 53, 47, 2], Operations: []
Exploring Operation: 53-47=6, Resulting Numbers: [55, 2, 6]
Generated Node #0,4: 98:[55, 2, 6] Operation: 53-47=6
Moving to Node #0,4
Current State: 98:[55, 2, 6], Operations: ['53-47=6']
Exploring Operation: 55-6=49, Resulting Numbers: [2, 49]
Generated Node #0,4,1: 98:[2, 49] Operation: 55-6=49
Moving to Node #0,4,1
Current State: 98:[2, 49], Operations: ['53-47=6', '55-6=49']
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.96441 | hs_5 | sum_heuristic |
[
75,
7,
16,
22
] | 21 | [
"22-7=15",
"75/15=5",
"16+5=21"
] | Current State: 21:[75, 7, 16, 22], Operations: []
Exploring Operation: 22-7=15, Resulting Numbers: [75, 16, 15]
Generated Node #2: [75, 16, 15] from Operation: 22-7=15
Current State: 21:[75, 16, 15], Operations: ['22-7=15']
Exploring Operation: 75/15=5, Resulting Numbers: [16, 5]
Generated Node #3: [16, 5] from Operation: 75/15=5
Current State: 21:[16, 5], Operations: ['22-7=15', '75/15=5']
Exploring Operation: 16+5=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[75, 7, 16, 22], Operations: []
Exploring Operation: 75-22=53, Resulting Numbers: [7, 16, 53]
Generated Node #0,0: 21:[7, 16, 53] Operation: 75-22=53
Exploring Operation: 75-16=59, Resulting Numbers: [7, 22, 59]
Generated Node #0,1: 21:[7, 22, 59] Operation: 75-16=59
Exploring Operation: 75-7=68, Resulting Numbers: [16, 22, 68]
Generated Node #0,2: 21:[16, 22, 68] Operation: 75-7=68
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[7, 16, 53], Operations: ['75-22=53']
Exploring Operation: 53-16=37, Resulting Numbers: [7, 37]
Generated Node #0,0,0: 21:[7, 37] Operation: 53-16=37
Exploring Operation: 53-7=46, Resulting Numbers: [16, 46]
Generated Node #0,0,1: 21:[16, 46] Operation: 53-7=46
Exploring Operation: 7+16=23, Resulting Numbers: [53, 23]
Generated Node #0,0,2: 21:[53, 23] Operation: 7+16=23
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 21:[7, 37], Operations: ['75-22=53', '53-16=37']
Exploring Operation: 7*37=259, Resulting Numbers: [259]
259,21 unequal: No Solution
Exploring Operation: 7+37=44, Resulting Numbers: [44]
44,21 unequal: No Solution
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,21 unequal: No Solution
No 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: 21:[16, 46], Operations: ['75-22=53', '53-7=46']
Exploring Operation: 16*46=736, Resulting Numbers: [736]
736,21 unequal: No Solution
Exploring Operation: 16+46=62, Resulting Numbers: [62]
62,21 unequal: No Solution
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,21 unequal: No Solution
No 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: 21:[53, 23], Operations: ['75-22=53', '7+16=23']
Exploring Operation: 53-23=30, Resulting Numbers: [30]
30,21 unequal: No Solution
Exploring Operation: 53+23=76, Resulting Numbers: [76]
76,21 unequal: No Solution
Exploring Operation: 53*23=1219, Resulting Numbers: [1219]
1219,21 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: 21:[7, 22, 59], Operations: ['75-16=59']
Exploring Operation: 59-7=52, Resulting Numbers: [22, 52]
Generated Node #0,1,0: 21:[22, 52] Operation: 59-7=52
Exploring Operation: 59-22=37, Resulting Numbers: [7, 37]
Generated Node #0,1,1: 21:[7, 37] Operation: 59-22=37
Exploring Operation: 22-7=15, Resulting Numbers: [59, 15]
Generated Node #0,1,2: 21:[59, 15] Operation: 22-7=15
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 21:[7, 37], Operations: ['75-16=59', '59-22=37']
Exploring Operation: 7*37=259, Resulting Numbers: [259]
259,21 unequal: No Solution
Exploring Operation: 7+37=44, Resulting Numbers: [44]
44,21 unequal: No Solution
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,21 unequal: No Solution
No 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: 21:[22, 52], Operations: ['75-16=59', '59-7=52']
Exploring Operation: 22*52=1144, Resulting Numbers: [1144]
1144,21 unequal: No Solution
Exploring Operation: 52-22=30, Resulting Numbers: [30]
30,21 unequal: No Solution
Exploring Operation: 22+52=74, Resulting Numbers: [74]
74,21 unequal: No Solution
No 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: 21:[59, 15], Operations: ['75-16=59', '22-7=15']
Exploring Operation: 59*15=885, Resulting Numbers: [885]
885,21 unequal: No Solution
Exploring Operation: 59-15=44, Resulting Numbers: [44]
44,21 unequal: No Solution
Exploring Operation: 59+15=74, Resulting Numbers: [74]
74,21 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: 21:[16, 22, 68], Operations: ['75-7=68']
Exploring Operation: 22-16=6, Resulting Numbers: [68, 6]
Generated Node #0,2,0: 21:[68, 6] Operation: 22-16=6
Exploring Operation: 68-16=52, Resulting Numbers: [22, 52]
Generated Node #0,2,1: 21:[22, 52] Operation: 68-16=52
Exploring Operation: 68-22=46, Resulting Numbers: [16, 46]
Generated Node #0,2,2: 21:[16, 46] Operation: 68-22=46
Moving to Node #0,2,2
Current State: 21:[16, 46], Operations: ['75-7=68', '68-22=46']
Exploring Operation: 16+46=62, Resulting Numbers: [62]
62,21 unequal: No Solution
Exploring Operation: 16*46=736, Resulting Numbers: [736]
736,21 unequal: No Solution
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,21 unequal: No Solution
Moving to Node #0,2,1
Current State: 21:[22, 52], Operations: ['75-7=68', '68-16=52']
Exploring Operation: 22+52=74, Resulting Numbers: [74]
74,21 unequal: No Solution
Exploring Operation: 22*52=1144, Resulting Numbers: [1144]
1144,21 unequal: No Solution
Exploring Operation: 52-22=30, Resulting Numbers: [30]
30,21 unequal: No Solution
Moving to Node #0,2,0
Current State: 21:[68, 6], Operations: ['75-7=68', '22-16=6']
Exploring Operation: 68*6=408, Resulting Numbers: [408]
408,21 unequal: No Solution
Exploring Operation: 68+6=74, Resulting Numbers: [74]
74,21 unequal: No Solution
Exploring Operation: 68-6=62, Resulting Numbers: [62]
62,21 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 |
[
47,
50,
8,
27
] | 73 | [
"50-47=3",
"27*3=81",
"81-8=73"
] | Current State: 73:[47, 50, 8, 27], Operations: []
Exploring Operation: 50-47=3, Resulting Numbers: [8, 27, 3]
Generated Node #2: [8, 27, 3] from Operation: 50-47=3
Current State: 73:[8, 27, 3], Operations: ['50-47=3']
Exploring Operation: 27*3=81, Resulting Numbers: [8, 81]
Generated Node #3: [8, 81] from Operation: 27*3=81
Current State: 73:[8, 81], Operations: ['50-47=3', '27*3=81']
Exploring Operation: 81-8=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[47, 50, 8, 27], Operations: []
Exploring Operation: 50+8=58, Resulting Numbers: [47, 27, 58]
Generated Node #0,0: 73:[47, 27, 58] Operation: 50+8=58
Exploring Operation: 47+8=55, Resulting Numbers: [50, 27, 55]
Generated Node #0,1: 73:[50, 27, 55] Operation: 47+8=55
Exploring Operation: 47+27=74, Resulting Numbers: [50, 8, 74]
Generated Node #0,2: 73:[50, 8, 74] Operation: 47+27=74
Exploring Operation: 8+27=35, Resulting Numbers: [47, 50, 35]
Generated Node #0,3: 73:[47, 50, 35] Operation: 8+27=35
Moving to Node #0,0
Current State: 73:[47, 27, 58], Operations: ['50+8=58']
Exploring Operation: 47-27=20, Resulting Numbers: [58, 20]
Generated Node #0,0,0: 73:[58, 20] Operation: 47-27=20
Exploring Operation: 58-27=31, Resulting Numbers: [47, 31]
Generated Node #0,0,1: 73:[47, 31] Operation: 58-27=31
Exploring Operation: 47+27=74, Resulting Numbers: [58, 74]
Generated Node #0,0,2: 73:[58, 74] Operation: 47+27=74
Exploring Operation: 27+58=85, Resulting Numbers: [47, 85]
Generated Node #0,0,3: 73:[47, 85] Operation: 27+58=85
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 73:[58, 74], Operations: ['50+8=58', '47+27=74']
Exploring Operation: 74-58=16, Resulting Numbers: [16]
16,73 unequal: No Solution
Exploring Operation: 58*74=4292, Resulting Numbers: [4292]
4292,73 unequal: No Solution
Exploring Operation: 58+74=132, Resulting Numbers: [132]
132,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 73:[47, 85], Operations: ['50+8=58', '27+58=85']
Exploring Operation: 47+85=132, Resulting Numbers: [132]
132,73 unequal: No Solution
Exploring Operation: 85-47=38, Resulting Numbers: [38]
38,73 unequal: No Solution
Exploring Operation: 47*85=3995, Resulting Numbers: [3995]
3995,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 73:[58, 20], Operations: ['50+8=58', '47-27=20']
Exploring Operation: 58+20=78, Resulting Numbers: [78]
78,73 unequal: No Solution
Exploring Operation: 58*20=1160, Resulting Numbers: [1160]
1160,73 unequal: No Solution
Exploring Operation: 58-20=38, Resulting Numbers: [38]
38,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 73:[47, 31], Operations: ['50+8=58', '58-27=31']
Exploring Operation: 47+31=78, Resulting Numbers: [78]
78,73 unequal: No Solution
Exploring Operation: 47-31=16, Resulting Numbers: [16]
16,73 unequal: No Solution
Exploring Operation: 47*31=1457, Resulting Numbers: [1457]
1457,73 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: 73:[47, 50, 35], Operations: ['8+27=35']
Exploring Operation: 47+50=97, Resulting Numbers: [35, 97]
Generated Node #0,3,0: 73:[35, 97] Operation: 47+50=97
Exploring Operation: 50+35=85, Resulting Numbers: [47, 85]
Generated Node #0,3,1: 73:[47, 85] Operation: 50+35=85
Exploring Operation: 47+35=82, Resulting Numbers: [50, 82]
Generated Node #0,3,2: 73:[50, 82] Operation: 47+35=82
Exploring Operation: 47-35=12, Resulting Numbers: [50, 12]
Generated Node #0,3,3: 73:[50, 12] Operation: 47-35=12
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 73:[50, 82], Operations: ['8+27=35', '47+35=82']
Exploring Operation: 50+82=132, Resulting Numbers: [132]
132,73 unequal: No Solution
Exploring Operation: 50*82=4100, Resulting Numbers: [4100]
4100,73 unequal: No Solution
Exploring Operation: 82-50=32, Resulting Numbers: [32]
32,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 73:[47, 85], Operations: ['8+27=35', '50+35=85']
Exploring Operation: 47+85=132, Resulting Numbers: [132]
132,73 unequal: No Solution
Exploring Operation: 85-47=38, Resulting Numbers: [38]
38,73 unequal: No Solution
Exploring Operation: 47*85=3995, Resulting Numbers: [3995]
3995,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 73:[35, 97], Operations: ['8+27=35', '47+50=97']
Exploring Operation: 35*97=3395, Resulting Numbers: [3395]
3395,73 unequal: No Solution
Exploring Operation: 97-35=62, Resulting Numbers: [62]
62,73 unequal: No Solution
Exploring Operation: 35+97=132, Resulting Numbers: [132]
132,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 73:[50, 12], Operations: ['8+27=35', '47-35=12']
Exploring Operation: 50*12=600, Resulting Numbers: [600]
600,73 unequal: No Solution
Exploring Operation: 50+12=62, Resulting Numbers: [62]
62,73 unequal: No Solution
Exploring Operation: 50-12=38, Resulting Numbers: [38]
38,73 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:[50, 27, 55], Operations: ['47+8=55']
Exploring Operation: 50+27=77, Resulting Numbers: [55, 77]
Generated Node #0,1,0: 73:[55, 77] Operation: 50+27=77
Exploring Operation: 50-27=23, Resulting Numbers: [55, 23]
Generated Node #0,1,1: 73:[55, 23] Operation: 50-27=23
Exploring Operation: 55-27=28, Resulting Numbers: [50, 28]
Generated Node #0,1,2: 73:[50, 28] Operation: 55-27=28
Exploring Operation: 27+55=82, Resulting Numbers: [50, 82]
Generated Node #0,1,3: 73:[50, 82] Operation: 27+55=82
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 73:[55, 77], Operations: ['47+8=55', '50+27=77']
Exploring Operation: 55+77=132, Resulting Numbers: [132]
132,73 unequal: No Solution
Exploring Operation: 77-55=22, Resulting Numbers: [22]
22,73 unequal: No Solution
Exploring Operation: 55*77=4235, Resulting Numbers: [4235]
4235,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 73:[50, 82], Operations: ['47+8=55', '27+55=82']
Exploring Operation: 82-50=32, Resulting Numbers: [32]
32,73 unequal: No Solution
Exploring Operation: 50+82=132, Resulting Numbers: [132]
132,73 unequal: No Solution
Exploring Operation: 50*82=4100, Resulting Numbers: [4100]
4100,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 73:[55, 23], Operations: ['47+8=55', '50-27=23']
Exploring Operation: 55*23=1265, Resulting Numbers: [1265]
1265,73 unequal: No Solution
Exploring Operation: 55+23=78, Resulting Numbers: [78]
78,73 unequal: No Solution
Exploring Operation: 55-23=32, Resulting Numbers: [32]
32,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 73:[50, 28], Operations: ['47+8=55', '55-27=28']
Exploring Operation: 50-28=22, Resulting Numbers: [22]
22,73 unequal: No Solution
Exploring Operation: 50+28=78, Resulting Numbers: [78]
78,73 unequal: No Solution
Exploring Operation: 50*28=1400, Resulting Numbers: [1400]
1400,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 73:[50, 8, 74], Operations: ['47+27=74']
Exploring Operation: 8+74=82, Resulting Numbers: [50, 82]
Generated Node #0,2,0: 73:[50, 82] Operation: 8+74=82
Exploring Operation: 74-8=66, Resulting Numbers: [50, 66]
Generated Node #0,2,1: 73:[50, 66] Operation: 74-8=66
Exploring Operation: 50-8=42, Resulting Numbers: [74, 42]
Generated Node #0,2,2: 73:[74, 42] Operation: 50-8=42
Exploring Operation: 50+8=58, Resulting Numbers: [74, 58]
Generated Node #0,2,3: 73:[74, 58] Operation: 50+8=58
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 73:[74, 58], Operations: ['47+27=74', '50+8=58']
Exploring Operation: 74+58=132, Resulting Numbers: [132]
132,73 unequal: No Solution
Exploring Operation: 74*58=4292, Resulting Numbers: [4292]
4292,73 unequal: No Solution
Exploring Operation: 74-58=16, Resulting Numbers: [16]
16,73 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:[50, 66], Operations: ['47+27=74', '74-8=66']
Exploring Operation: 66-50=16, Resulting Numbers: [16]
16,73 unequal: No Solution
Exploring Operation: 50+66=116, Resulting Numbers: [116]
116,73 unequal: No Solution
Exploring Operation: 50*66=3300, Resulting Numbers: [3300]
3300,73 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:[50, 82], Operations: ['47+27=74', '8+74=82']
Exploring Operation: 82-50=32, Resulting Numbers: [32]
32,73 unequal: No Solution
Exploring Operation: 50+82=132, Resulting Numbers: [132]
132,73 unequal: No Solution
Exploring Operation: 50*82=4100, Resulting Numbers: [4100]
4100,73 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:[74, 42], Operations: ['47+27=74', '50-8=42']
Exploring Operation: 74-42=32, Resulting Numbers: [32]
32,73 unequal: No Solution
Exploring Operation: 74+42=116, Resulting Numbers: [116]
116,73 unequal: No Solution
Exploring Operation: 74*42=3108, Resulting Numbers: [3108]
3108,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
55,
13,
52,
48
] | 99 | [
"55+48=103",
"52/13=4",
"103-4=99"
] | Current State: 99:[55, 13, 52, 48], Operations: []
Exploring Operation: 55+48=103, Resulting Numbers: [13, 52, 103]
Generated Node #2: [13, 52, 103] from Operation: 55+48=103
Current State: 99:[13, 52, 103], Operations: ['55+48=103']
Exploring Operation: 52/13=4, Resulting Numbers: [103, 4]
Generated Node #3: [103, 4] from Operation: 52/13=4
Current State: 99:[103, 4], Operations: ['55+48=103', '52/13=4']
Exploring Operation: 103-4=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[55, 13, 52, 48], Operations: []
Exploring Operation: 55-48=7, Resulting Numbers: [13, 52, 7]
Generated Node #0,0: 99:[13, 52, 7] Operation: 55-48=7
Exploring Operation: 55-52=3, Resulting Numbers: [13, 48, 3]
Generated Node #0,1: 99:[13, 48, 3] Operation: 55-52=3
Exploring Operation: 55+52=107, Resulting Numbers: [13, 48, 107]
Generated Node #0,2: 99:[13, 48, 107] Operation: 55+52=107
Moving to Node #0,1
Current State: 99:[13, 48, 3], Operations: ['55-52=3']
Exploring Operation: 48/3=16, Resulting Numbers: [13, 16]
Generated Node #0,1,0: 99:[13, 16] Operation: 48/3=16
Exploring Operation: 48-3=45, Resulting Numbers: [13, 45]
Generated Node #0,1,1: 99:[13, 45] Operation: 48-3=45
Exploring Operation: 48-13=35, Resulting Numbers: [3, 35]
Generated Node #0,1,2: 99:[3, 35] Operation: 48-13=35
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 99:[3, 35], Operations: ['55-52=3', '48-13=35']
Exploring Operation: 3+35=38, Resulting Numbers: [38]
38,99 unequal: No Solution
Exploring Operation: 3*35=105, Resulting Numbers: [105]
105,99 unequal: No Solution
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 99:[13, 16], Operations: ['55-52=3', '48/3=16']
Exploring Operation: 16-13=3, Resulting Numbers: [3]
3,99 unequal: No Solution
Exploring Operation: 13+16=29, Resulting Numbers: [29]
29,99 unequal: No Solution
Exploring Operation: 13*16=208, Resulting Numbers: [208]
208,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 99:[13, 45], Operations: ['55-52=3', '48-3=45']
Exploring Operation: 13+45=58, Resulting Numbers: [58]
58,99 unequal: No Solution
Exploring Operation: 45-13=32, Resulting Numbers: [32]
32,99 unequal: No Solution
Exploring Operation: 13*45=585, Resulting Numbers: [585]
585,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 99:[13, 52, 7], Operations: ['55-48=7']
Exploring Operation: 52-7=45, Resulting Numbers: [13, 45]
Generated Node #0,0,0: 99:[13, 45] Operation: 52-7=45
Exploring Operation: 52/13=4, Resulting Numbers: [7, 4]
Generated Node #0,0,1: 99:[7, 4] Operation: 52/13=4
Exploring Operation: 52-13=39, Resulting Numbers: [7, 39]
Generated Node #0,0,2: 99:[7, 39] Operation: 52-13=39
Moving to Node #0,2
Current State: 99:[13, 48, 107], Operations: ['55+52=107']
Exploring Operation: 48-13=35, Resulting Numbers: [107, 35]
Generated Node #0,2,0: 99:[107, 35] Operation: 48-13=35
Exploring Operation: 107-13=94, Resulting Numbers: [48, 94]
Generated Node #0,2,1: 99:[48, 94] Operation: 107-13=94
Exploring Operation: 107-48=59, Resulting Numbers: [13, 59]
Generated Node #0,2,2: 99:[13, 59] Operation: 107-48=59
Moving to Node #0,0,1
Current State: 99:[7, 4], Operations: ['55-48=7', '52/13=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,99 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,99 unequal: No Solution
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,99 unequal: No Solution
Moving to Node #0,0,2
Current State: 99:[7, 39], Operations: ['55-48=7', '52-13=39']
Exploring Operation: 7*39=273, Resulting Numbers: [273]
273,99 unequal: No Solution
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,99 unequal: No Solution
Exploring Operation: 7+39=46, Resulting Numbers: [46]
46,99 unequal: No Solution
Moving to Node #0,2,0
Current State: 99:[107, 35], Operations: ['55+52=107', '48-13=35']
Exploring Operation: 107*35=3745, Resulting Numbers: [3745]
3745,99 unequal: No Solution
Exploring Operation: 107-35=72, Resulting Numbers: [72]
72,99 unequal: No Solution
Exploring Operation: 107+35=142, Resulting Numbers: [142]
142,99 unequal: No Solution
Moving to Node #0,0,0
Current State: 99:[13, 45], Operations: ['55-48=7', '52-7=45']
Exploring Operation: 45-13=32, Resulting Numbers: [32]
32,99 unequal: No Solution
Exploring Operation: 13*45=585, Resulting Numbers: [585]
585,99 unequal: No Solution
Exploring Operation: 13+45=58, Resulting Numbers: [58]
58,99 unequal: No Solution
Moving to Node #0,2,1
Current State: 99:[48, 94], Operations: ['55+52=107', '107-13=94']
Exploring Operation: 94-48=46, Resulting Numbers: [46]
46,99 unequal: No Solution
Exploring Operation: 48+94=142, Resulting Numbers: [142]
142,99 unequal: No Solution
Exploring Operation: 48*94=4512, Resulting Numbers: [4512]
4512,99 unequal: No Solution
Moving to Node #0,2,2
Current State: 99:[13, 59], Operations: ['55+52=107', '107-48=59']
Exploring Operation: 13*59=767, Resulting Numbers: [767]
767,99 unequal: No Solution
Exploring Operation: 59-13=46, Resulting Numbers: [46]
46,99 unequal: No Solution
Exploring Operation: 13+59=72, Resulting Numbers: [72]
72,99 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
5,
5,
49,
8
] | 32 | [
"5*5=25",
"49+8=57",
"57-25=32"
] | Current State: 32:[5, 5, 49, 8], Operations: []
Exploring Operation: 5*5=25, Resulting Numbers: [49, 8, 25]
Generated Node #2: [49, 8, 25] from Operation: 5*5=25
Current State: 32:[49, 8, 25], Operations: ['5*5=25']
Exploring Operation: 49+8=57, Resulting Numbers: [25, 57]
Generated Node #3: [25, 57] from Operation: 49+8=57
Current State: 32:[25, 57], Operations: ['5*5=25', '49+8=57']
Exploring Operation: 57-25=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[5, 5, 49, 8], Operations: []
Exploring Operation: 5/5=1, Resulting Numbers: [49, 8, 1]
Generated Node #0,0: 32:[49, 8, 1] Operation: 5/5=1
Exploring Operation: 49-5=44, Resulting Numbers: [5, 8, 44]
Generated Node #0,1: 32:[5, 8, 44] Operation: 49-5=44
Exploring Operation: 5+5=10, Resulting Numbers: [49, 8, 10]
Generated Node #0,2: 32:[49, 8, 10] Operation: 5+5=10
Exploring Operation: 49-5=44, Resulting Numbers: [5, 8, 44]
Generated Node #0,3: 32:[5, 8, 44] Operation: 49-5=44
Exploring Operation: 49-8=41, Resulting Numbers: [5, 5, 41]
Generated Node #0,4: 32:[5, 5, 41] Operation: 49-8=41
Start Sub Search at level 1: Moving to Node #0,4
Current State: 32:[5, 5, 41], Operations: ['49-8=41']
Exploring Operation: 5+5=10, Resulting Numbers: [41, 10]
Generated Node #0,4,0: 32:[41, 10] Operation: 5+5=10
Exploring Operation: 5/5=1, Resulting Numbers: [41, 1]
Generated Node #0,4,1: 32:[41, 1] Operation: 5/5=1
Exploring Operation: 5-5=0, Resulting Numbers: [41, 0]
Generated Node #0,4,2: 32:[41, 0] Operation: 5-5=0
Exploring Operation: 41-5=36, Resulting Numbers: [5, 36]
Generated Node #0,4,3: 32:[5, 36] Operation: 41-5=36
Exploring Operation: 41-5=36, Resulting Numbers: [5, 36]
Generated Node #0,4,4: 32:[5, 36] Operation: 41-5=36
Moving to Node #0,4,3
Current State: 32:[5, 36], Operations: ['49-8=41', '41-5=36']
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,32 unequal: No Solution
Exploring Operation: 5+36=41, Resulting Numbers: [41]
41,32 unequal: No Solution
Exploring Operation: 5*36=180, Resulting Numbers: [180]
180,32 unequal: No Solution
Moving to Node #0,4,4
Current State: 32:[5, 36], Operations: ['49-8=41', '41-5=36']
Exploring Operation: 5+36=41, Resulting Numbers: [41]
41,32 unequal: No Solution
Exploring Operation: 5*36=180, Resulting Numbers: [180]
180,32 unequal: No Solution
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,32 unequal: No Solution
Moving to Node #0,4,1
Current State: 32:[41, 1], Operations: ['49-8=41', '5/5=1']
Exploring Operation: 41+1=42, Resulting Numbers: [42]
42,32 unequal: No Solution
Exploring Operation: 41-1=40, Resulting Numbers: [40]
40,32 unequal: No Solution
Exploring Operation: 41*1=41, Resulting Numbers: [41]
41,32 unequal: No Solution
Exploring Operation: 41/1=41, Resulting Numbers: [41]
41,32 unequal: No Solution
Moving to Node #0,4,0
Current State: 32:[41, 10], Operations: ['49-8=41', '5+5=10']
Exploring Operation: 41*10=410, Resulting Numbers: [410]
410,32 unequal: No Solution
Exploring Operation: 41-10=31, Resulting Numbers: [31]
31,32 unequal: No Solution
Exploring Operation: 41+10=51, Resulting Numbers: [51]
51,32 unequal: No Solution
Moving to Node #0,4,2
Current State: 32:[41, 0], Operations: ['49-8=41', '5-5=0']
Exploring Operation: 41+0=41, Resulting Numbers: [41]
41,32 unequal: No Solution
Exploring Operation: 41-0=41, Resulting Numbers: [41]
41,32 unequal: No Solution
Exploring Operation: 41*0=0, Resulting Numbers: [0]
0,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 32:[5, 8, 44], Operations: ['49-5=44']
Exploring Operation: 44-8=36, Resulting Numbers: [5, 36]
Generated Node #0,1,0: 32:[5, 36] Operation: 44-8=36
Exploring Operation: 5+44=49, Resulting Numbers: [8, 49]
Generated Node #0,1,1: 32:[8, 49] Operation: 5+44=49
Exploring Operation: 44-5=39, Resulting Numbers: [8, 39]
Generated Node #0,1,2: 32:[8, 39] Operation: 44-5=39
Exploring Operation: 8-5=3, Resulting Numbers: [44, 3]
Generated Node #0,1,3: 32:[44, 3] Operation: 8-5=3
Exploring Operation: 5+8=13, Resulting Numbers: [44, 13]
Generated Node #0,1,4: 32:[44, 13] Operation: 5+8=13
Moving to Node #0,1,0
Current State: 32:[5, 36], Operations: ['49-5=44', '44-8=36']
Exploring Operation: 5+36=41, Resulting Numbers: [41]
41,32 unequal: No Solution
Exploring Operation: 5*36=180, Resulting Numbers: [180]
180,32 unequal: No Solution
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,32 unequal: No Solution
Moving to Node #0,1,2
Current State: 32:[8, 39], Operations: ['49-5=44', '44-5=39']
Exploring Operation: 8*39=312, Resulting Numbers: [312]
312,32 unequal: No Solution
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,32 unequal: No Solution
Exploring Operation: 8+39=47, Resulting Numbers: [47]
47,32 unequal: No Solution
Moving to Node #0,1,3
Current State: 32:[44, 3], Operations: ['49-5=44', '8-5=3']
Exploring Operation: 44*3=132, Resulting Numbers: [132]
132,32 unequal: No Solution
Exploring Operation: 44+3=47, Resulting Numbers: [47]
47,32 unequal: No Solution
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,32 unequal: No Solution
Moving to Node #0,1,4
Current State: 32:[44, 13], Operations: ['49-5=44', '5+8=13']
Exploring Operation: 44+13=57, Resulting Numbers: [57]
57,32 unequal: No Solution
Exploring Operation: 44*13=572, Resulting Numbers: [572]
572,32 unequal: No Solution
Exploring Operation: 44-13=31, Resulting Numbers: [31]
31,32 unequal: No Solution
Moving to Node #0,1,1
Current State: 32:[8, 49], Operations: ['49-5=44', '5+44=49']
Exploring Operation: 49-8=41, Resulting Numbers: [41]
41,32 unequal: No Solution
Exploring Operation: 8+49=57, Resulting Numbers: [57]
57,32 unequal: No Solution
Exploring Operation: 8*49=392, Resulting Numbers: [392]
392,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 32:[5, 8, 44], Operations: ['49-5=44']
Exploring Operation: 44-5=39, Resulting Numbers: [8, 39]
Generated Node #0,3,0: 32:[8, 39] Operation: 44-5=39
Exploring Operation: 8-5=3, Resulting Numbers: [44, 3]
Generated Node #0,3,1: 32:[44, 3] Operation: 8-5=3
Exploring Operation: 5+8=13, Resulting Numbers: [44, 13]
Generated Node #0,3,2: 32:[44, 13] Operation: 5+8=13
Exploring Operation: 44-8=36, Resulting Numbers: [5, 36]
Generated Node #0,3,3: 32:[5, 36] Operation: 44-8=36
Exploring Operation: 5+44=49, Resulting Numbers: [8, 49]
Generated Node #0,3,4: 32:[8, 49] Operation: 5+44=49
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 32:[5, 36], Operations: ['49-5=44', '44-8=36']
Exploring Operation: 5*36=180, Resulting Numbers: [180]
180,32 unequal: No Solution
Exploring Operation: 5+36=41, Resulting Numbers: [41]
41,32 unequal: No Solution
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 32:[8, 39], Operations: ['49-5=44', '44-5=39']
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,32 unequal: No Solution
Exploring Operation: 8*39=312, Resulting Numbers: [312]
312,32 unequal: No Solution
Exploring Operation: 8+39=47, Resulting Numbers: [47]
47,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 32:[44, 3], Operations: ['49-5=44', '8-5=3']
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,32 unequal: No Solution
Exploring Operation: 44+3=47, Resulting Numbers: [47]
47,32 unequal: No Solution
Exploring Operation: 44*3=132, Resulting Numbers: [132]
132,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 32:[44, 13], Operations: ['49-5=44', '5+8=13']
Exploring Operation: 44+13=57, Resulting Numbers: [57]
57,32 unequal: No Solution
Exploring Operation: 44-13=31, Resulting Numbers: [31]
31,32 unequal: No Solution
Exploring Operation: 44*13=572, Resulting Numbers: [572]
572,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 32:[8, 49], Operations: ['49-5=44', '5+44=49']
Exploring Operation: 49-8=41, Resulting Numbers: [41]
41,32 unequal: No Solution
Exploring Operation: 8+49=57, Resulting Numbers: [57]
57,32 unequal: No Solution
Exploring Operation: 8*49=392, Resulting Numbers: [392]
392,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[49, 8, 1], Operations: ['5/5=1']
Exploring Operation: 49-1=48, Resulting Numbers: [8, 48]
Generated Node #0,0,0: 32:[8, 48] Operation: 49-1=48
Exploring Operation: 49-8=41, Resulting Numbers: [1, 41]
Generated Node #0,0,1: 32:[1, 41] Operation: 49-8=41
Exploring Operation: 49/1=49, Resulting Numbers: [8, 49]
Generated Node #0,0,2: 32:[8, 49] Operation: 49/1=49
Exploring Operation: 49*1=49, Resulting Numbers: [8, 49]
Generated Node #0,0,3: 32:[8, 49] Operation: 49*1=49
Exploring Operation: 8*1=8, Resulting Numbers: [49, 8]
Generated Node #0,0,4: 32:[49, 8] Operation: 8*1=8
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 32:[1, 41], Operations: ['5/5=1', '49-8=41']
Exploring Operation: 41/1=41, Resulting Numbers: [41]
41,32 unequal: No Solution
Exploring Operation: 41-1=40, Resulting Numbers: [40]
40,32 unequal: No Solution
Exploring Operation: 1*41=41, Resulting Numbers: [41]
41,32 unequal: No Solution
Exploring Operation: 1+41=42, Resulting Numbers: [42]
42,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 32:[8, 48], Operations: ['5/5=1', '49-1=48']
Exploring Operation: 8*48=384, Resulting Numbers: [384]
384,32 unequal: No Solution
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,32 unequal: No Solution
Exploring Operation: 8+48=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 32:[8, 49], Operations: ['5/5=1', '49/1=49']
Exploring Operation: 8+49=57, Resulting Numbers: [57]
57,32 unequal: No Solution
Exploring Operation: 49-8=41, Resulting Numbers: [41]
41,32 unequal: No Solution
Exploring Operation: 8*49=392, Resulting Numbers: [392]
392,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 32:[8, 49], Operations: ['5/5=1', '49*1=49']
Exploring Operation: 49-8=41, Resulting Numbers: [41]
41,32 unequal: No Solution
Exploring Operation: 8+49=57, Resulting Numbers: [57]
57,32 unequal: No Solution
Exploring Operation: 8*49=392, Resulting Numbers: [392]
392,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 32:[49, 8], Operations: ['5/5=1', '8*1=8']
Exploring Operation: 49*8=392, Resulting Numbers: [392]
392,32 unequal: No Solution
Exploring Operation: 49+8=57, Resulting Numbers: [57]
57,32 unequal: No Solution
Exploring Operation: 49-8=41, Resulting Numbers: [41]
41,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 32:[49, 8, 10], Operations: ['5+5=10']
Exploring Operation: 49-8=41, Resulting Numbers: [10, 41]
Generated Node #0,2,0: 32:[10, 41] Operation: 49-8=41
Exploring Operation: 49+8=57, Resulting Numbers: [10, 57]
Generated Node #0,2,1: 32:[10, 57] Operation: 49+8=57
Exploring Operation: 8+10=18, Resulting Numbers: [49, 18]
Generated Node #0,2,2: 32:[49, 18] Operation: 8+10=18
Exploring Operation: 10-8=2, Resulting Numbers: [49, 2]
Generated Node #0,2,3: 32:[49, 2] Operation: 10-8=2
Exploring Operation: 49-10=39, Resulting Numbers: [8, 39]
Generated Node #0,2,4: 32:[8, 39] Operation: 49-10=39
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 32:[8, 39], Operations: ['5+5=10', '49-10=39']
Exploring Operation: 8+39=47, Resulting Numbers: [47]
47,32 unequal: No Solution
Exploring Operation: 8*39=312, Resulting Numbers: [312]
312,32 unequal: No Solution
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 32:[10, 41], Operations: ['5+5=10', '49-8=41']
Exploring Operation: 41-10=31, Resulting Numbers: [31]
31,32 unequal: No Solution
Exploring Operation: 10*41=410, Resulting Numbers: [410]
410,32 unequal: No Solution
Exploring Operation: 10+41=51, Resulting Numbers: [51]
51,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 32:[49, 2], Operations: ['5+5=10', '10-8=2']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,32 unequal: No Solution
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,32 unequal: No Solution
Exploring Operation: 49*2=98, Resulting Numbers: [98]
98,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 32:[49, 18], Operations: ['5+5=10', '8+10=18']
Exploring Operation: 49+18=67, Resulting Numbers: [67]
67,32 unequal: No Solution
Exploring Operation: 49*18=882, Resulting Numbers: [882]
882,32 unequal: No Solution
Exploring Operation: 49-18=31, Resulting Numbers: [31]
31,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 32:[10, 57], Operations: ['5+5=10', '49+8=57']
Exploring Operation: 10*57=570, Resulting Numbers: [570]
570,32 unequal: No Solution
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,32 unequal: No Solution
Exploring Operation: 10+57=67, Resulting Numbers: [67]
67,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
44,
3,
51,
3
] | 90 | [
"44+3=47",
"3*47=141",
"141-51=90"
] | Current State: 90:[44, 3, 51, 3], Operations: []
Exploring Operation: 44+3=47, Resulting Numbers: [51, 47]
Generated Node #2: [51, 47] from Operation: 44+3=47
Current State: 90:[51, 47], Operations: ['44+3=47']
Exploring Operation: 3*47=141, Resulting Numbers: [51, 141]
Generated Node #3: [51, 141] from Operation: 3*47=141
Current State: 90:[51, 141], Operations: ['44+3=47', '3*47=141']
Exploring Operation: 141-51=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[44, 3, 51, 3], Operations: []
Exploring Operation: 51/3=17, Resulting Numbers: [44, 3, 17]
Generated Node #0,0: 90:[44, 3, 17] Operation: 51/3=17
Exploring Operation: 51-44=7, Resulting Numbers: [3, 3, 7]
Generated Node #0,1: 90:[3, 3, 7] Operation: 51-44=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[3, 3, 7], Operations: ['51-44=7']
Exploring Operation: 3+7=10, Resulting Numbers: [3, 10]
Generated Node #0,1,0: 90:[3, 10] Operation: 3+7=10
Exploring Operation: 3+7=10, Resulting Numbers: [3, 10]
Generated Node #0,1,1: 90:[3, 10] Operation: 3+7=10
Moving to Node #0,1,0
Current State: 90:[3, 10], Operations: ['51-44=7', '3+7=10']
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,90 unequal: No Solution
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Moving to Node #0,1,1
Current State: 90:[3, 10], Operations: ['51-44=7', '3+7=10']
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,90 unequal: No Solution
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,90 unequal: No Solution
No 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: 90:[44, 3, 17], Operations: ['51/3=17']
Exploring Operation: 17-3=14, Resulting Numbers: [44, 14]
Generated Node #0,0,0: 90:[44, 14] Operation: 17-3=14
Exploring Operation: 44+3=47, Resulting Numbers: [17, 47]
Generated Node #0,0,1: 90:[17, 47] Operation: 44+3=47
Moving to Node #0,0,0
Current State: 90:[44, 14], Operations: ['51/3=17', '17-3=14']
Exploring Operation: 44+14=58, Resulting Numbers: [58]
58,90 unequal: No Solution
Exploring Operation: 44-14=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Moving to Node #0,0,1
Current State: 90:[17, 47], Operations: ['51/3=17', '44+3=47']
Exploring Operation: 47-17=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 17+47=64, Resulting Numbers: [64]
64,90 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 |
[
78,
81,
69,
90
] | 63 | [
"81-78=3",
"90-69=21",
"3*21=63"
] | Current State: 63:[78, 81, 69, 90], Operations: []
Exploring Operation: 81-78=3, Resulting Numbers: [69, 90, 3]
Generated Node #2: [69, 90, 3] from Operation: 81-78=3
Current State: 63:[69, 90, 3], Operations: ['81-78=3']
Exploring Operation: 90-69=21, Resulting Numbers: [3, 21]
Generated Node #3: [3, 21] from Operation: 90-69=21
Current State: 63:[3, 21], Operations: ['81-78=3', '90-69=21']
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[78, 81, 69, 90], Operations: []
Exploring Operation: 90-69=21, Resulting Numbers: [78, 81, 21]
Generated Node #0,0: 63:[78, 81, 21] Operation: 90-69=21
Exploring Operation: 81-78=3, Resulting Numbers: [69, 90, 3]
Generated Node #0,1: 63:[69, 90, 3] Operation: 81-78=3
Exploring Operation: 90-78=12, Resulting Numbers: [81, 69, 12]
Generated Node #0,2: 63:[81, 69, 12] Operation: 90-78=12
Exploring Operation: 90-81=9, Resulting Numbers: [78, 69, 9]
Generated Node #0,3: 63:[78, 69, 9] Operation: 90-81=9
Moving to Node #0,3
Current State: 63:[78, 69, 9], Operations: ['90-81=9']
Exploring Operation: 78-9=69, Resulting Numbers: [69, 69]
Generated Node #0,3,0: 63:[69, 69] Operation: 78-9=69
Exploring Operation: 78+9=87, Resulting Numbers: [69, 87]
Generated Node #0,3,1: 63:[69, 87] Operation: 78+9=87
Exploring Operation: 69-9=60, Resulting Numbers: [78, 60]
Generated Node #0,3,2: 63:[78, 60] Operation: 69-9=60
Exploring Operation: 78-69=9, Resulting Numbers: [9, 9]
Generated Node #0,3,3: 63:[9, 9] Operation: 78-69=9
Moving to Node #0,2
Current State: 63:[81, 69, 12], Operations: ['90-78=12']
Exploring Operation: 81-12=69, Resulting Numbers: [69, 69]
Generated Node #0,2,0: 63:[69, 69] Operation: 81-12=69
Exploring Operation: 81-69=12, Resulting Numbers: [12, 12]
Generated Node #0,2,1: 63:[12, 12] Operation: 81-69=12
Exploring Operation: 69-12=57, Resulting Numbers: [81, 57]
Generated Node #0,2,2: 63:[81, 57] Operation: 69-12=57
Exploring Operation: 81+12=93, Resulting Numbers: [69, 93]
Generated Node #0,2,3: 63:[69, 93] Operation: 81+12=93
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 63:[12, 12], Operations: ['90-78=12', '81-69=12']
Exploring Operation: 12-12=0, Resulting Numbers: [0]
0,63 unequal: No Solution
Exploring Operation: 12+12=24, Resulting Numbers: [24]
24,63 unequal: No Solution
Exploring Operation: 12*12=144, Resulting Numbers: [144]
144,63 unequal: No Solution
Exploring Operation: 12/12=1, Resulting Numbers: [1]
1,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 63:[69, 69], Operations: ['90-78=12', '81-12=69']
Exploring Operation: 69/69=1, Resulting Numbers: [1]
1,63 unequal: No Solution
Exploring Operation: 69+69=138, Resulting Numbers: [138]
138,63 unequal: No Solution
Exploring Operation: 69-69=0, Resulting Numbers: [0]
0,63 unequal: No Solution
Exploring Operation: 69*69=4761, Resulting Numbers: [4761]
4761,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 63:[81, 57], Operations: ['90-78=12', '69-12=57']
Exploring Operation: 81*57=4617, Resulting Numbers: [4617]
4617,63 unequal: No Solution
Exploring Operation: 81+57=138, Resulting Numbers: [138]
138,63 unequal: No Solution
Exploring Operation: 81-57=24, Resulting Numbers: [24]
24,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 63:[69, 93], Operations: ['90-78=12', '81+12=93']
Exploring Operation: 69*93=6417, Resulting Numbers: [6417]
6417,63 unequal: No Solution
Exploring Operation: 93-69=24, Resulting Numbers: [24]
24,63 unequal: No Solution
Exploring Operation: 69+93=162, Resulting Numbers: [162]
162,63 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: 63:[69, 90, 3], Operations: ['81-78=3']
Exploring Operation: 90/3=30, Resulting Numbers: [69, 30]
Generated Node #0,1,0: 63:[69, 30] Operation: 90/3=30
Exploring Operation: 90-69=21, Resulting Numbers: [3, 21]
Generated Node #0,1,1: 63:[3, 21] Operation: 90-69=21
Exploring Operation: 69-3=66, Resulting Numbers: [90, 66]
Generated Node #0,1,2: 63:[90, 66] Operation: 69-3=66
Exploring Operation: 69/3=23, Resulting Numbers: [90, 23]
Generated Node #0,1,3: 63:[90, 23] Operation: 69/3=23
Moving to Node #0,0
Current State: 63:[78, 81, 21], Operations: ['90-69=21']
Exploring Operation: 78-21=57, Resulting Numbers: [81, 57]
Generated Node #0,0,0: 63:[81, 57] Operation: 78-21=57
Exploring Operation: 81-21=60, Resulting Numbers: [78, 60]
Generated Node #0,0,1: 63:[78, 60] Operation: 81-21=60
Exploring Operation: 78+21=99, Resulting Numbers: [81, 99]
Generated Node #0,0,2: 63:[81, 99] Operation: 78+21=99
Exploring Operation: 81-78=3, Resulting Numbers: [21, 3]
Generated Node #0,0,3: 63:[21, 3] Operation: 81-78=3
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 63:[21, 3], Operations: ['90-69=21', '81-78=3']
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,63 unequal: No Solution
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[78, 81, 69, 90], Operations: []
Exploring Operation: 90-69=21, Resulting Numbers: [78, 81, 21]
Generated Node #0,0: 63:[78, 81, 21] Operation: 90-69=21
Moving to Node #0,0
Current State: 63:[78, 81, 21], Operations: ['90-69=21']
Exploring Operation: 81-78=3, Resulting Numbers: [21, 3]
Generated Node #0,0,3: 63:[21, 3] Operation: 81-78=3
Moving to Node #0,0,3
Current State: 63:[21, 3], Operations: ['90-69=21', '81-78=3']
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.965278 | hs_4 | sum_heuristic |
[
13,
66,
15,
48
] | 36 | [
"15-13=2",
"66-48=18",
"2*18=36"
] | Current State: 36:[13, 66, 15, 48], Operations: []
Exploring Operation: 15-13=2, Resulting Numbers: [66, 48, 2]
Generated Node #2: [66, 48, 2] from Operation: 15-13=2
Current State: 36:[66, 48, 2], Operations: ['15-13=2']
Exploring Operation: 66-48=18, Resulting Numbers: [2, 18]
Generated Node #3: [2, 18] from Operation: 66-48=18
Current State: 36:[2, 18], Operations: ['15-13=2', '66-48=18']
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[13, 66, 15, 48], Operations: []
Exploring Operation: 66-48=18, Resulting Numbers: [13, 15, 18]
Generated Node #0,0: 36:[13, 15, 18] Operation: 66-48=18
Moving to Node #0,0
Current State: 36:[13, 15, 18], Operations: ['66-48=18']
Exploring Operation: 15-13=2, Resulting Numbers: [18, 2]
Generated Node #0,0,0: 36:[18, 2] Operation: 15-13=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 36:[18, 2], Operations: ['66-48=18', '15-13=2']
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[13, 66, 15, 48], Operations: []
Exploring Operation: 66-48=18, Resulting Numbers: [13, 15, 18]
Generated Node #0,0: 36:[13, 15, 18] Operation: 66-48=18
Moving to Node #0,0
Current State: 36:[13, 15, 18], Operations: ['66-48=18']
Exploring Operation: 15-13=2, Resulting Numbers: [18, 2]
Generated Node #0,0,0: 36:[18, 2] Operation: 15-13=2
Moving to Node #0,0,0
Current State: 36:[18, 2], Operations: ['66-48=18', '15-13=2']
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
5,
6,
48,
54
] | 34 | [
"48-5=43",
"54/6=9",
"43-9=34"
] | Current State: 34:[5, 6, 48, 54], Operations: []
Exploring Operation: 48-5=43, Resulting Numbers: [6, 54, 43]
Generated Node #2: [6, 54, 43] from Operation: 48-5=43
Current State: 34:[6, 54, 43], Operations: ['48-5=43']
Exploring Operation: 54/6=9, Resulting Numbers: [43, 9]
Generated Node #3: [43, 9] from Operation: 54/6=9
Current State: 34:[43, 9], Operations: ['48-5=43', '54/6=9']
Exploring Operation: 43-9=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[5, 6, 48, 54], Operations: []
Exploring Operation: 54/6=9, Resulting Numbers: [5, 48, 9]
Generated Node #0,0: 34:[5, 48, 9] Operation: 54/6=9
Exploring Operation: 54-48=6, Resulting Numbers: [5, 6, 6]
Generated Node #0,1: 34:[5, 6, 6] Operation: 54-48=6
Moving to Node #0,1
Current State: 34:[5, 6, 6], Operations: ['54-48=6']
Exploring Operation: 6/6=1, Resulting Numbers: [5, 1]
Generated Node #0,1,0: 34:[5, 1] Operation: 6/6=1
Exploring Operation: 6-5=1, Resulting Numbers: [6, 1]
Generated Node #0,1,1: 34:[6, 1] Operation: 6-5=1
Moving to Node #0,0
Current State: 34:[5, 48, 9], Operations: ['54/6=9']
Exploring Operation: 48-9=39, Resulting Numbers: [5, 39]
Generated Node #0,0,0: 34:[5, 39] Operation: 48-9=39
Exploring Operation: 48-5=43, Resulting Numbers: [9, 43]
Generated Node #0,0,1: 34:[9, 43] Operation: 48-5=43
Moving to Node #0,1,0
Current State: 34:[5, 1], Operations: ['54-48=6', '6/6=1']
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,34 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,34 unequal: No Solution
Moving to Node #0,1,1
Current State: 34:[6, 1], Operations: ['54-48=6', '6-5=1']
Exploring Operation: 6-1=5, Resulting Numbers: [5]
5,34 unequal: No Solution
Exploring Operation: 6*1=6, Resulting Numbers: [6]
6,34 unequal: No Solution
Moving to Node #0,0,0
Current State: 34:[5, 39], Operations: ['54/6=9', '48-9=39']
Exploring Operation: 5+39=44, Resulting Numbers: [44]
44,34 unequal: No Solution
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[5, 6, 48, 54], Operations: []
Exploring Operation: 54/6=9, Resulting Numbers: [5, 48, 9]
Generated Node #0,0: 34:[5, 48, 9] Operation: 54/6=9
Moving to Node #0,0
Current State: 34:[5, 48, 9], Operations: ['54/6=9']
Exploring Operation: 48-9=39, Resulting Numbers: [5, 39]
Generated Node #0,0,0: 34:[5, 39] Operation: 48-9=39
Moving to Node #0,0,0
Current State: 34:[5, 39], Operations: ['54/6=9', '48-9=39']
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 0.986111 | hs_2 | sum_heuristic |
[
8,
23,
2,
19
] | 57 | [
"19-8=11",
"23*2=46",
"11+46=57"
] | Current State: 57:[8, 23, 2, 19], Operations: []
Exploring Operation: 19-8=11, Resulting Numbers: [23, 2, 11]
Generated Node #2: [23, 2, 11] from Operation: 19-8=11
Current State: 57:[23, 2, 11], Operations: ['19-8=11']
Exploring Operation: 23*2=46, Resulting Numbers: [11, 46]
Generated Node #3: [11, 46] from Operation: 23*2=46
Current State: 57:[11, 46], Operations: ['19-8=11', '23*2=46']
Exploring Operation: 11+46=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[8, 23, 2, 19], Operations: []
Exploring Operation: 23-8=15, Resulting Numbers: [2, 19, 15]
Generated Node #0,0: 57:[2, 19, 15] Operation: 23-8=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 57:[2, 19, 15], Operations: ['23-8=15']
Exploring Operation: 2+15=17, Resulting Numbers: [19, 17]
Generated Node #0,0,0: 57:[19, 17] Operation: 2+15=17
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 57:[19, 17], Operations: ['23-8=15', '2+15=17']
Exploring Operation: 19-17=2, Resulting Numbers: [2]
2,57 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 |
[
20,
49,
23,
42
] | 49 | [
"20+23=43",
"43-42=1",
"49*1=49"
] | Current State: 49:[20, 49, 23, 42], Operations: []
Exploring Operation: 20+23=43, Resulting Numbers: [49, 42, 43]
Generated Node #2: [49, 42, 43] from Operation: 20+23=43
Current State: 49:[49, 42, 43], Operations: ['20+23=43']
Exploring Operation: 43-42=1, Resulting Numbers: [49, 1]
Generated Node #3: [49, 1] from Operation: 43-42=1
Current State: 49:[49, 1], Operations: ['20+23=43', '43-42=1']
Exploring Operation: 49*1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[20, 49, 23, 42], Operations: []
Exploring Operation: 20+23=43, Resulting Numbers: [49, 42, 43]
Generated Node #0,0: 49:[49, 42, 43] Operation: 20+23=43
Exploring Operation: 23-20=3, Resulting Numbers: [49, 42, 3]
Generated Node #0,1: 49:[49, 42, 3] Operation: 23-20=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 49:[49, 42, 3], Operations: ['23-20=3']
Exploring Operation: 49-42=7, Resulting Numbers: [3, 7]
Generated Node #0,1,0: 49:[3, 7] Operation: 49-42=7
Exploring Operation: 42+3=45, Resulting Numbers: [49, 45]
Generated Node #0,1,1: 49:[49, 45] Operation: 42+3=45
Moving to Node #0,1,0
Current State: 49:[3, 7], Operations: ['23-20=3', '49-42=7']
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,49 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,49 unequal: No Solution
Moving to Node #0,1,1
Current State: 49:[49, 45], Operations: ['23-20=3', '42+3=45']
Exploring Operation: 49+45=94, Resulting Numbers: [94]
94,49 unequal: No Solution
Exploring Operation: 49-45=4, Resulting Numbers: [4]
4,49 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 #0,0
Current State: 49:[49, 42, 43], Operations: ['20+23=43']
Exploring Operation: 49-42=7, Resulting Numbers: [43, 7]
Generated Node #0,0,0: 49:[43, 7] Operation: 49-42=7
Exploring Operation: 43-42=1, Resulting Numbers: [49, 1]
Generated Node #0,0,1: 49:[49, 1] Operation: 43-42=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 49:[43, 7], Operations: ['20+23=43', '49-42=7']
Exploring Operation: 43+7=50, Resulting Numbers: [50]
50,49 unequal: No Solution
Exploring Operation: 43-7=36, Resulting Numbers: [36]
36,49 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 #0,0,1
Current State: 49:[49, 1], Operations: ['20+23=43', '43-42=1']
Exploring Operation: 49*1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[20, 49, 23, 42], Operations: []
Exploring Operation: 20+23=43, Resulting Numbers: [49, 42, 43]
Generated Node #0,0: 49:[49, 42, 43] Operation: 20+23=43
Moving to Node #0,0
Current State: 49:[49, 42, 43], Operations: ['20+23=43']
Exploring Operation: 43-42=1, Resulting Numbers: [49, 1]
Generated Node #0,0,1: 49:[49, 1] Operation: 43-42=1
Moving to Node #0,0,1
Current State: 49:[49, 1], Operations: ['20+23=43', '43-42=1']
Exploring Operation: 49*1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_2 | mult_heuristic |
[
76,
55,
26,
91
] | 86 | [
"76-55=21",
"91-26=65",
"21+65=86"
] | Current State: 86:[76, 55, 26, 91], Operations: []
Exploring Operation: 76-55=21, Resulting Numbers: [26, 91, 21]
Generated Node #2: [26, 91, 21] from Operation: 76-55=21
Current State: 86:[26, 91, 21], Operations: ['76-55=21']
Exploring Operation: 91-26=65, Resulting Numbers: [21, 65]
Generated Node #3: [21, 65] from Operation: 91-26=65
Current State: 86:[21, 65], Operations: ['76-55=21', '91-26=65']
Exploring Operation: 21+65=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[76, 55, 26, 91], Operations: []
Exploring Operation: 76-26=50, Resulting Numbers: [55, 91, 50]
Generated Node #0,0: 86:[55, 91, 50] Operation: 76-26=50
Exploring Operation: 55+26=81, Resulting Numbers: [76, 91, 81]
Generated Node #0,1: 86:[76, 91, 81] Operation: 55+26=81
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[76, 91, 81], Operations: ['55+26=81']
Exploring Operation: 81-76=5, Resulting Numbers: [91, 5]
Generated Node #0,1,0: 86:[91, 5] Operation: 81-76=5
Exploring Operation: 91-76=15, Resulting Numbers: [81, 15]
Generated Node #0,1,1: 86:[81, 15] Operation: 91-76=15
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 86:[91, 5], Operations: ['55+26=81', '81-76=5']
Exploring Operation: 91-5=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[76, 55, 26, 91], Operations: []
Exploring Operation: 55+26=81, Resulting Numbers: [76, 91, 81]
Generated Node #0,1: 86:[76, 91, 81] Operation: 55+26=81
Moving to Node #0,1
Current State: 86:[76, 91, 81], Operations: ['55+26=81']
Exploring Operation: 81-76=5, Resulting Numbers: [91, 5]
Generated Node #0,1,0: 86:[91, 5] Operation: 81-76=5
Moving to Node #0,1,0
Current State: 86:[91, 5], Operations: ['55+26=81', '81-76=5']
Exploring Operation: 91-5=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
20,
33,
43,
98
] | 42 | [
"33-20=13",
"98-43=55",
"55-13=42"
] | Current State: 42:[20, 33, 43, 98], Operations: []
Exploring Operation: 33-20=13, Resulting Numbers: [43, 98, 13]
Generated Node #2: [43, 98, 13] from Operation: 33-20=13
Current State: 42:[43, 98, 13], Operations: ['33-20=13']
Exploring Operation: 98-43=55, Resulting Numbers: [13, 55]
Generated Node #3: [13, 55] from Operation: 98-43=55
Current State: 42:[13, 55], Operations: ['33-20=13', '98-43=55']
Exploring Operation: 55-13=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[20, 33, 43, 98], Operations: []
Exploring Operation: 98-20=78, Resulting Numbers: [33, 43, 78]
Generated Node #0,0: 42:[33, 43, 78] Operation: 98-20=78
Exploring Operation: 98-43=55, Resulting Numbers: [20, 33, 55]
Generated Node #0,1: 42:[20, 33, 55] Operation: 98-43=55
Exploring Operation: 98-33=65, Resulting Numbers: [20, 43, 65]
Generated Node #0,2: 42:[20, 43, 65] Operation: 98-33=65
Start Sub Search at level 1: Moving to Node #0,1
Current State: 42:[20, 33, 55], Operations: ['98-43=55']
Exploring Operation: 55-33=22, Resulting Numbers: [20, 22]
Generated Node #0,1,0: 42:[20, 22] Operation: 55-33=22
Exploring Operation: 33-20=13, Resulting Numbers: [55, 13]
Generated Node #0,1,1: 42:[55, 13] Operation: 33-20=13
Exploring Operation: 55-20=35, Resulting Numbers: [33, 35]
Generated Node #0,1,2: 42:[33, 35] Operation: 55-20=35
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 42:[20, 22], Operations: ['98-43=55', '55-33=22']
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,42 unequal: No Solution
Exploring Operation: 20*22=440, Resulting Numbers: [440]
440,42 unequal: No Solution
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[20, 33, 43, 98], Operations: []
Exploring Operation: 98-43=55, Resulting Numbers: [20, 33, 55]
Generated Node #0,1: 42:[20, 33, 55] Operation: 98-43=55
Moving to Node #0,1
Current State: 42:[20, 33, 55], Operations: ['98-43=55']
Exploring Operation: 55-33=22, Resulting Numbers: [20, 22]
Generated Node #0,1,0: 42:[20, 22] Operation: 55-33=22
Moving to Node #0,1,0
Current State: 42:[20, 22], Operations: ['98-43=55', '55-33=22']
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
16,
24,
3,
76
] | 74 | [
"16*3=48",
"48/24=2",
"76-2=74"
] | Current State: 74:[16, 24, 3, 76], Operations: []
Exploring Operation: 16*3=48, Resulting Numbers: [24, 76, 48]
Generated Node #2: [24, 76, 48] from Operation: 16*3=48
Current State: 74:[24, 76, 48], Operations: ['16*3=48']
Exploring Operation: 48/24=2, Resulting Numbers: [76, 2]
Generated Node #3: [76, 2] from Operation: 48/24=2
Current State: 74:[76, 2], Operations: ['16*3=48', '48/24=2']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[16, 24, 3, 76], Operations: []
Exploring Operation: 24-16=8, Resulting Numbers: [3, 76, 8]
Generated Node #0,0: 74:[3, 76, 8] Operation: 24-16=8
Exploring Operation: 16+24=40, Resulting Numbers: [3, 76, 40]
Generated Node #0,1: 74:[3, 76, 40] Operation: 16+24=40
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[3, 76, 40], Operations: ['16+24=40']
Exploring Operation: 76-40=36, Resulting Numbers: [3, 36]
Generated Node #0,1,0: 74:[3, 36] Operation: 76-40=36
Exploring Operation: 40-3=37, Resulting Numbers: [76, 37]
Generated Node #0,1,1: 74:[76, 37] Operation: 40-3=37
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 74:[3, 36], Operations: ['16+24=40', '76-40=36']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,74 unequal: No Solution
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 74:[76, 37], Operations: ['16+24=40', '40-3=37']
Exploring Operation: 76+37=113, Resulting Numbers: [113]
113,74 unequal: No Solution
Exploring Operation: 76-37=39, Resulting Numbers: [39]
39,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[3, 76, 8], Operations: ['24-16=8']
Exploring Operation: 8-3=5, Resulting Numbers: [76, 5]
Generated Node #0,0,0: 74:[76, 5] Operation: 8-3=5
Exploring Operation: 76-3=73, Resulting Numbers: [8, 73]
Generated Node #0,0,1: 74:[8, 73] Operation: 76-3=73
Moving to Node #0,0,0
Current State: 74:[76, 5], Operations: ['24-16=8', '8-3=5']
Exploring Operation: 76-5=71, Resulting Numbers: [71]
71,74 unequal: No Solution
Exploring Operation: 76+5=81, Resulting Numbers: [81]
81,74 unequal: No Solution
Moving to Node #0,0,1
Current State: 74:[8, 73], Operations: ['24-16=8', '76-3=73']
Exploring Operation: 73-8=65, Resulting Numbers: [65]
65,74 unequal: No Solution
Exploring Operation: 8+73=81, Resulting Numbers: [81]
81,74 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 |
[
63,
77,
31,
84
] | 22 | [
"84-77=7",
"63/7=9",
"31-9=22"
] | Current State: 22:[63, 77, 31, 84], Operations: []
Exploring Operation: 84-77=7, Resulting Numbers: [63, 31, 7]
Generated Node #2: [63, 31, 7] from Operation: 84-77=7
Current State: 22:[63, 31, 7], Operations: ['84-77=7']
Exploring Operation: 63/7=9, Resulting Numbers: [31, 9]
Generated Node #3: [31, 9] from Operation: 63/7=9
Current State: 22:[31, 9], Operations: ['84-77=7', '63/7=9']
Exploring Operation: 31-9=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[63, 77, 31, 84], Operations: []
Exploring Operation: 84-77=7, Resulting Numbers: [63, 31, 7]
Generated Node #0,0: 22:[63, 31, 7] Operation: 84-77=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[63, 31, 7], Operations: ['84-77=7']
Exploring Operation: 63/7=9, Resulting Numbers: [31, 9]
Generated Node #0,0,0: 22:[31, 9] Operation: 63/7=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 22:[31, 9], Operations: ['84-77=7', '63/7=9']
Exploring Operation: 31-9=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[63, 77, 31, 84], Operations: []
Exploring Operation: 84-77=7, Resulting Numbers: [63, 31, 7]
Generated Node #0,0: 22:[63, 31, 7] Operation: 84-77=7
Moving to Node #0,0
Current State: 22:[63, 31, 7], Operations: ['84-77=7']
Exploring Operation: 63/7=9, Resulting Numbers: [31, 9]
Generated Node #0,0,0: 22:[31, 9] Operation: 63/7=9
Moving to Node #0,0,0
Current State: 22:[31, 9], Operations: ['84-77=7', '63/7=9']
Exploring Operation: 31-9=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
78,
86,
36,
19
] | 80 | [
"78+36=114",
"114/19=6",
"86-6=80"
] | Current State: 80:[78, 86, 36, 19], Operations: []
Exploring Operation: 78+36=114, Resulting Numbers: [86, 19, 114]
Generated Node #2: [86, 19, 114] from Operation: 78+36=114
Current State: 80:[86, 19, 114], Operations: ['78+36=114']
Exploring Operation: 114/19=6, Resulting Numbers: [86, 6]
Generated Node #3: [86, 6] from Operation: 114/19=6
Current State: 80:[86, 6], Operations: ['78+36=114', '114/19=6']
Exploring Operation: 86-6=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[78, 86, 36, 19], Operations: []
Exploring Operation: 86-78=8, Resulting Numbers: [36, 19, 8]
Generated Node #0,0: 80:[36, 19, 8] Operation: 86-78=8
Exploring Operation: 36-19=17, Resulting Numbers: [78, 86, 17]
Generated Node #0,1: 80:[78, 86, 17] Operation: 36-19=17
Exploring Operation: 78-36=42, Resulting Numbers: [86, 19, 42]
Generated Node #0,2: 80:[86, 19, 42] Operation: 78-36=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[36, 19, 8], Operations: ['86-78=8']
Exploring Operation: 36+8=44, Resulting Numbers: [19, 44]
Generated Node #0,0,0: 80:[19, 44] Operation: 36+8=44
Exploring Operation: 19-8=11, Resulting Numbers: [36, 11]
Generated Node #0,0,1: 80:[36, 11] Operation: 19-8=11
Exploring Operation: 36-19=17, Resulting Numbers: [8, 17]
Generated Node #0,0,2: 80:[8, 17] Operation: 36-19=17
Moving to Node #0,0,2
Current State: 80:[8, 17], Operations: ['86-78=8', '36-19=17']
Exploring Operation: 8*17=136, Resulting Numbers: [136]
136,80 unequal: No Solution
Exploring Operation: 8+17=25, Resulting Numbers: [25]
25,80 unequal: No Solution
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,80 unequal: No Solution
Moving to Node #0,0,0
Current State: 80:[19, 44], Operations: ['86-78=8', '36+8=44']
Exploring Operation: 19+44=63, Resulting Numbers: [63]
63,80 unequal: No Solution
Exploring Operation: 19*44=836, Resulting Numbers: [836]
836,80 unequal: No Solution
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,80 unequal: No Solution
Moving to Node #0,0,1
Current State: 80:[36, 11], Operations: ['86-78=8', '19-8=11']
Exploring Operation: 36*11=396, Resulting Numbers: [396]
396,80 unequal: No Solution
Exploring Operation: 36-11=25, Resulting Numbers: [25]
25,80 unequal: No Solution
Exploring Operation: 36+11=47, Resulting Numbers: [47]
47,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 80:[78, 86, 17], Operations: ['36-19=17']
Exploring Operation: 78+17=95, Resulting Numbers: [86, 95]
Generated Node #0,1,0: 80:[86, 95] Operation: 78+17=95
Exploring Operation: 86-17=69, Resulting Numbers: [78, 69]
Generated Node #0,1,1: 80:[78, 69] Operation: 86-17=69
Exploring Operation: 86-78=8, Resulting Numbers: [17, 8]
Generated Node #0,1,2: 80:[17, 8] Operation: 86-78=8
Moving to Node #0,1,2
Current State: 80:[17, 8], Operations: ['36-19=17', '86-78=8']
Exploring Operation: 17*8=136, Resulting Numbers: [136]
136,80 unequal: No Solution
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,80 unequal: No Solution
Exploring Operation: 17+8=25, Resulting Numbers: [25]
25,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[78, 69], Operations: ['36-19=17', '86-17=69']
Exploring Operation: 78-69=9, Resulting Numbers: [9]
9,80 unequal: No Solution
Exploring Operation: 78*69=5382, Resulting Numbers: [5382]
5382,80 unequal: No Solution
Exploring Operation: 78+69=147, Resulting Numbers: [147]
147,80 unequal: No Solution
Moving to Node #0,1,0
Current State: 80:[86, 95], Operations: ['36-19=17', '78+17=95']
Exploring Operation: 86*95=8170, Resulting Numbers: [8170]
8170,80 unequal: No Solution
Exploring Operation: 95-86=9, Resulting Numbers: [9]
9,80 unequal: No Solution
Exploring Operation: 86+95=181, Resulting Numbers: [181]
181,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 80:[86, 19, 42], Operations: ['78-36=42']
Exploring Operation: 86-42=44, Resulting Numbers: [19, 44]
Generated Node #0,2,0: 80:[19, 44] Operation: 86-42=44
Exploring Operation: 42-19=23, Resulting Numbers: [86, 23]
Generated Node #0,2,1: 80:[86, 23] Operation: 42-19=23
Exploring Operation: 86-19=67, Resulting Numbers: [42, 67]
Generated Node #0,2,2: 80:[42, 67] Operation: 86-19=67
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 80:[19, 44], Operations: ['78-36=42', '86-42=44']
Exploring Operation: 19*44=836, Resulting Numbers: [836]
836,80 unequal: No Solution
Exploring Operation: 19+44=63, Resulting Numbers: [63]
63,80 unequal: No Solution
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,80 unequal: No Solution
No 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: 80:[86, 23], Operations: ['78-36=42', '42-19=23']
Exploring Operation: 86*23=1978, Resulting Numbers: [1978]
1978,80 unequal: No Solution
Exploring Operation: 86+23=109, Resulting Numbers: [109]
109,80 unequal: No Solution
Exploring Operation: 86-23=63, Resulting Numbers: [63]
63,80 unequal: No Solution
No 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: 80:[42, 67], Operations: ['78-36=42', '86-19=67']
Exploring Operation: 42*67=2814, Resulting Numbers: [2814]
2814,80 unequal: No Solution
Exploring Operation: 67-42=25, Resulting Numbers: [25]
25,80 unequal: No Solution
Exploring Operation: 42+67=109, Resulting Numbers: [109]
109,80 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 |
[
25,
12,
33,
25
] | 71 | [
"25-12=13",
"33+25=58",
"13+58=71"
] | Current State: 71:[25, 12, 33, 25], Operations: []
Exploring Operation: 25-12=13, Resulting Numbers: [33, 13]
Generated Node #2: [33, 13] from Operation: 25-12=13
Current State: 71:[33, 13], Operations: ['25-12=13']
Exploring Operation: 33+25=58, Resulting Numbers: [13, 58]
Generated Node #3: [13, 58] from Operation: 33+25=58
Current State: 71:[13, 58], Operations: ['25-12=13', '33+25=58']
Exploring Operation: 13+58=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[25, 12, 33, 25], Operations: []
Exploring Operation: 25+25=50, Resulting Numbers: [12, 33, 50]
Generated Node #0,0: 71:[12, 33, 50] Operation: 25+25=50
Exploring Operation: 12+33=45, Resulting Numbers: [25, 25, 45]
Generated Node #0,1: 71:[25, 25, 45] Operation: 12+33=45
Exploring Operation: 25+12=37, Resulting Numbers: [33, 25, 37]
Generated Node #0,2: 71:[33, 25, 37] Operation: 25+12=37
Exploring Operation: 25+33=58, Resulting Numbers: [12, 25, 58]
Generated Node #0,3: 71:[12, 25, 58] Operation: 25+33=58
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[12, 33, 50], Operations: ['25+25=50']
Exploring Operation: 33-12=21, Resulting Numbers: [50, 21]
Generated Node #0,0,0: 71:[50, 21] Operation: 33-12=21
Exploring Operation: 12+50=62, Resulting Numbers: [33, 62]
Generated Node #0,0,1: 71:[33, 62] Operation: 12+50=62
Exploring Operation: 12+33=45, Resulting Numbers: [50, 45]
Generated Node #0,0,2: 71:[50, 45] Operation: 12+33=45
Exploring Operation: 50-12=38, Resulting Numbers: [33, 38]
Generated Node #0,0,3: 71:[33, 38] Operation: 50-12=38
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 71:[33, 62], Operations: ['25+25=50', '12+50=62']
Exploring Operation: 33*62=2046, Resulting Numbers: [2046]
2046,71 unequal: No Solution
Exploring Operation: 62-33=29, Resulting Numbers: [29]
29,71 unequal: No Solution
Exploring Operation: 33+62=95, Resulting Numbers: [95]
95,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 71:[50, 45], Operations: ['25+25=50', '12+33=45']
Exploring Operation: 50+45=95, Resulting Numbers: [95]
95,71 unequal: No Solution
Exploring Operation: 50-45=5, Resulting Numbers: [5]
5,71 unequal: No Solution
Exploring Operation: 50*45=2250, Resulting Numbers: [2250]
2250,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 71:[50, 21], Operations: ['25+25=50', '33-12=21']
Exploring Operation: 50-21=29, Resulting Numbers: [29]
29,71 unequal: No Solution
Exploring Operation: 50*21=1050, Resulting Numbers: [1050]
1050,71 unequal: No Solution
Exploring Operation: 50+21=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[25, 12, 33, 25], Operations: []
Exploring Operation: 25+25=50, Resulting Numbers: [12, 33, 50]
Generated Node #0,0: 71:[12, 33, 50] Operation: 25+25=50
Moving to Node #0,0
Current State: 71:[12, 33, 50], Operations: ['25+25=50']
Exploring Operation: 33-12=21, Resulting Numbers: [50, 21]
Generated Node #0,0,0: 71:[50, 21] Operation: 33-12=21
Moving to Node #0,0,0
Current State: 71:[50, 21], Operations: ['25+25=50', '33-12=21']
Exploring Operation: 50+21=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.981771 | hs_4 | sum_heuristic |
[
2,
75,
16,
15
] | 19 | [
"16-2=14",
"75/15=5",
"14+5=19"
] | Current State: 19:[2, 75, 16, 15], Operations: []
Exploring Operation: 16-2=14, Resulting Numbers: [75, 15, 14]
Generated Node #2: [75, 15, 14] from Operation: 16-2=14
Current State: 19:[75, 15, 14], Operations: ['16-2=14']
Exploring Operation: 75/15=5, Resulting Numbers: [14, 5]
Generated Node #3: [14, 5] from Operation: 75/15=5
Current State: 19:[14, 5], Operations: ['16-2=14', '75/15=5']
Exploring Operation: 14+5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[2, 75, 16, 15], Operations: []
Exploring Operation: 75-16=59, Resulting Numbers: [2, 15, 59]
Generated Node #0,0: 19:[2, 15, 59] Operation: 75-16=59
Exploring Operation: 2+16=18, Resulting Numbers: [75, 15, 18]
Generated Node #0,1: 19:[75, 15, 18] Operation: 2+16=18
Exploring Operation: 2+15=17, Resulting Numbers: [75, 16, 17]
Generated Node #0,2: 19:[75, 16, 17] Operation: 2+15=17
Exploring Operation: 75/15=5, Resulting Numbers: [2, 16, 5]
Generated Node #0,3: 19:[2, 16, 5] Operation: 75/15=5
Exploring Operation: 75-2=73, Resulting Numbers: [16, 15, 73]
Generated Node #0,4: 19:[16, 15, 73] Operation: 75-2=73
Start Sub Search at level 1: Moving to Node #0,3
Current State: 19:[2, 16, 5], Operations: ['75/15=5']
Exploring Operation: 16-2=14, Resulting Numbers: [5, 14]
Generated Node #0,3,0: 19:[5, 14] Operation: 16-2=14
Exploring Operation: 2+5=7, Resulting Numbers: [16, 7]
Generated Node #0,3,1: 19:[16, 7] Operation: 2+5=7
Exploring Operation: 2+16=18, Resulting Numbers: [5, 18]
Generated Node #0,3,2: 19:[5, 18] Operation: 2+16=18
Exploring Operation: 5-2=3, Resulting Numbers: [16, 3]
Generated Node #0,3,3: 19:[16, 3] Operation: 5-2=3
Exploring Operation: 2*5=10, Resulting Numbers: [16, 10]
Generated Node #0,3,4: 19:[16, 10] Operation: 2*5=10
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 19:[16, 10], Operations: ['75/15=5', '2*5=10']
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,19 unequal: No Solution
Exploring Operation: 16*10=160, Resulting Numbers: [160]
160,19 unequal: No Solution
Exploring Operation: 16+10=26, Resulting Numbers: [26]
26,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 19:[16, 7], Operations: ['75/15=5', '2+5=7']
Exploring Operation: 16*7=112, Resulting Numbers: [112]
112,19 unequal: No Solution
Exploring Operation: 16+7=23, Resulting Numbers: [23]
23,19 unequal: No Solution
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 19:[5, 18], Operations: ['75/15=5', '2+16=18']
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,19 unequal: No Solution
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,19 unequal: No Solution
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 19:[5, 14], Operations: ['75/15=5', '16-2=14']
Exploring Operation: 5+14=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[2, 75, 16, 15], Operations: []
Exploring Operation: 75/15=5, Resulting Numbers: [2, 16, 5]
Generated Node #0,3: 19:[2, 16, 5] Operation: 75/15=5
Moving to Node #0,3
Current State: 19:[2, 16, 5], Operations: ['75/15=5']
Exploring Operation: 16-2=14, Resulting Numbers: [5, 14]
Generated Node #0,3,0: 19:[5, 14] Operation: 16-2=14
Moving to Node #0,3,0
Current State: 19:[5, 14], Operations: ['75/15=5', '16-2=14']
Exploring Operation: 5+14=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.979167 | hs_5 | mult_heuristic |
[
6,
73,
83,
83
] | 57 | [
"73+83=156",
"156/6=26",
"83-26=57"
] | Current State: 57:[6, 73, 83, 83], Operations: []
Exploring Operation: 73+83=156, Resulting Numbers: [6, 156]
Generated Node #2: [6, 156] from Operation: 73+83=156
Current State: 57:[6, 156], Operations: ['73+83=156']
Exploring Operation: 156/6=26, Resulting Numbers: [26]
26,57 equal: Goal Reached
Exploring Operation: 83-26=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[6, 73, 83, 83], Operations: []
Exploring Operation: 83/83=1, Resulting Numbers: [6, 73, 1]
Generated Node #0,0: 57:[6, 73, 1] Operation: 83/83=1
Moving to Node #0,0
Current State: 57:[6, 73, 1], Operations: ['83/83=1']
Exploring Operation: 73-6=67, Resulting Numbers: [1, 67]
Generated Node #0,0,0: 57:[1, 67] Operation: 73-6=67
Moving to Node #0,0,0
Current State: 57:[1, 67], Operations: ['83/83=1', '73-6=67']
Exploring Operation: 67-1=66, Resulting Numbers: [66]
66,57 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
18,
62,
65,
32
] | 22 | [
"65-62=3",
"18*3=54",
"54-32=22"
] | Current State: 22:[18, 62, 65, 32], Operations: []
Exploring Operation: 65-62=3, Resulting Numbers: [18, 32, 3]
Generated Node #2: [18, 32, 3] from Operation: 65-62=3
Current State: 22:[18, 32, 3], Operations: ['65-62=3']
Exploring Operation: 18*3=54, Resulting Numbers: [32, 54]
Generated Node #3: [32, 54] from Operation: 18*3=54
Current State: 22:[32, 54], Operations: ['65-62=3', '18*3=54']
Exploring Operation: 54-32=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[18, 62, 65, 32], Operations: []
Exploring Operation: 62-18=44, Resulting Numbers: [65, 32, 44]
Generated Node #0,0: 22:[65, 32, 44] Operation: 62-18=44
Exploring Operation: 65-18=47, Resulting Numbers: [62, 32, 47]
Generated Node #0,1: 22:[62, 32, 47] Operation: 65-18=47
Exploring Operation: 65-62=3, Resulting Numbers: [18, 32, 3]
Generated Node #0,2: 22:[18, 32, 3] Operation: 65-62=3
Exploring Operation: 62-32=30, Resulting Numbers: [18, 65, 30]
Generated Node #0,3: 22:[18, 65, 30] Operation: 62-32=30
Exploring Operation: 65-32=33, Resulting Numbers: [18, 62, 33]
Generated Node #0,4: 22:[18, 62, 33] Operation: 65-32=33
Moving to Node #0,2
Current State: 22:[18, 32, 3], Operations: ['65-62=3']
Exploring Operation: 32-3=29, Resulting Numbers: [18, 29]
Generated Node #0,2,0: 22:[18, 29] Operation: 32-3=29
Exploring Operation: 18-3=15, Resulting Numbers: [32, 15]
Generated Node #0,2,1: 22:[32, 15] Operation: 18-3=15
Exploring Operation: 18/3=6, Resulting Numbers: [32, 6]
Generated Node #0,2,2: 22:[32, 6] Operation: 18/3=6
Exploring Operation: 32-18=14, Resulting Numbers: [3, 14]
Generated Node #0,2,3: 22:[3, 14] Operation: 32-18=14
Exploring Operation: 18+3=21, Resulting Numbers: [32, 21]
Generated Node #0,2,4: 22:[32, 21] Operation: 18+3=21
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 22:[3, 14], Operations: ['65-62=3', '32-18=14']
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,22 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,22 unequal: No Solution
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,22 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 #0,2,0
Current State: 22:[18, 29], Operations: ['65-62=3', '32-3=29']
Exploring Operation: 18+29=47, Resulting Numbers: [47]
47,22 unequal: No Solution
Exploring Operation: 29-18=11, Resulting Numbers: [11]
11,22 unequal: No Solution
Exploring Operation: 18*29=522, Resulting Numbers: [522]
522,22 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 #0,2,4
Current State: 22:[32, 21], Operations: ['65-62=3', '18+3=21']
Exploring Operation: 32+21=53, Resulting Numbers: [53]
53,22 unequal: No Solution
Exploring Operation: 32*21=672, Resulting Numbers: [672]
672,22 unequal: No Solution
Exploring Operation: 32-21=11, Resulting Numbers: [11]
11,22 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 #0,2,1
Current State: 22:[32, 15], Operations: ['65-62=3', '18-3=15']
Exploring Operation: 32*15=480, Resulting Numbers: [480]
480,22 unequal: No Solution
Exploring Operation: 32+15=47, Resulting Numbers: [47]
47,22 unequal: No Solution
Exploring Operation: 32-15=17, Resulting Numbers: [17]
17,22 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 #0,2,2
Current State: 22:[32, 6], Operations: ['65-62=3', '18/3=6']
Exploring Operation: 32*6=192, Resulting Numbers: [192]
192,22 unequal: No Solution
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,22 unequal: No Solution
Exploring Operation: 32+6=38, Resulting Numbers: [38]
38,22 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: 22:[18, 62, 33], Operations: ['65-32=33']
Exploring Operation: 62-18=44, Resulting Numbers: [33, 44]
Generated Node #0,4,0: 22:[33, 44] Operation: 62-18=44
Exploring Operation: 18+62=80, Resulting Numbers: [33, 80]
Generated Node #0,4,1: 22:[33, 80] Operation: 18+62=80
Exploring Operation: 33-18=15, Resulting Numbers: [62, 15]
Generated Node #0,4,2: 22:[62, 15] Operation: 33-18=15
Exploring Operation: 18+33=51, Resulting Numbers: [62, 51]
Generated Node #0,4,3: 22:[62, 51] Operation: 18+33=51
Exploring Operation: 62-33=29, Resulting Numbers: [18, 29]
Generated Node #0,4,4: 22:[18, 29] Operation: 62-33=29
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 22:[18, 29], Operations: ['65-32=33', '62-33=29']
Exploring Operation: 18*29=522, Resulting Numbers: [522]
522,22 unequal: No Solution
Exploring Operation: 18+29=47, Resulting Numbers: [47]
47,22 unequal: No Solution
Exploring Operation: 29-18=11, Resulting Numbers: [11]
11,22 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 #0,4,0
Current State: 22:[33, 44], Operations: ['65-32=33', '62-18=44']
Exploring Operation: 33+44=77, Resulting Numbers: [77]
77,22 unequal: No Solution
Exploring Operation: 33*44=1452, Resulting Numbers: [1452]
1452,22 unequal: No Solution
Exploring Operation: 44-33=11, Resulting Numbers: [11]
11,22 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 #0,4,2
Current State: 22:[62, 15], Operations: ['65-32=33', '33-18=15']
Exploring Operation: 62-15=47, Resulting Numbers: [47]
47,22 unequal: No Solution
Exploring Operation: 62*15=930, Resulting Numbers: [930]
930,22 unequal: No Solution
Exploring Operation: 62+15=77, Resulting Numbers: [77]
77,22 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 #0,4,1
Current State: 22:[33, 80], Operations: ['65-32=33', '18+62=80']
Exploring Operation: 33*80=2640, Resulting Numbers: [2640]
2640,22 unequal: No Solution
Exploring Operation: 80-33=47, Resulting Numbers: [47]
47,22 unequal: No Solution
Exploring Operation: 33+80=113, Resulting Numbers: [113]
113,22 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 #0,4,3
Current State: 22:[62, 51], Operations: ['65-32=33', '18+33=51']
Exploring Operation: 62-51=11, Resulting Numbers: [11]
11,22 unequal: No Solution
Exploring Operation: 62*51=3162, Resulting Numbers: [3162]
3162,22 unequal: No Solution
Exploring Operation: 62+51=113, Resulting Numbers: [113]
113,22 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: 22:[18, 65, 30], Operations: ['62-32=30']
Exploring Operation: 30-18=12, Resulting Numbers: [65, 12]
Generated Node #0,3,0: 22:[65, 12] Operation: 30-18=12
Exploring Operation: 18+65=83, Resulting Numbers: [30, 83]
Generated Node #0,3,1: 22:[30, 83] Operation: 18+65=83
Exploring Operation: 65-30=35, Resulting Numbers: [18, 35]
Generated Node #0,3,2: 22:[18, 35] Operation: 65-30=35
Exploring Operation: 18+30=48, Resulting Numbers: [65, 48]
Generated Node #0,3,3: 22:[65, 48] Operation: 18+30=48
Exploring Operation: 65-18=47, Resulting Numbers: [30, 47]
Generated Node #0,3,4: 22:[30, 47] Operation: 65-18=47
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 22:[18, 35], Operations: ['62-32=30', '65-30=35']
Exploring Operation: 35-18=17, Resulting Numbers: [17]
17,22 unequal: No Solution
Exploring Operation: 18+35=53, Resulting Numbers: [53]
53,22 unequal: No Solution
Exploring Operation: 18*35=630, Resulting Numbers: [630]
630,22 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 #0,3,4
Current State: 22:[30, 47], Operations: ['62-32=30', '65-18=47']
Exploring Operation: 30+47=77, Resulting Numbers: [77]
77,22 unequal: No Solution
Exploring Operation: 47-30=17, Resulting Numbers: [17]
17,22 unequal: No Solution
Exploring Operation: 30*47=1410, Resulting Numbers: [1410]
1410,22 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 #0,3,0
Current State: 22:[65, 12], Operations: ['62-32=30', '30-18=12']
Exploring Operation: 65-12=53, Resulting Numbers: [53]
53,22 unequal: No Solution
Exploring Operation: 65*12=780, Resulting Numbers: [780]
780,22 unequal: No Solution
Exploring Operation: 65+12=77, Resulting Numbers: [77]
77,22 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 #0,3,1
Current State: 22:[30, 83], Operations: ['62-32=30', '18+65=83']
Exploring Operation: 30+83=113, Resulting Numbers: [113]
113,22 unequal: No Solution
Exploring Operation: 83-30=53, Resulting Numbers: [53]
53,22 unequal: No Solution
Exploring Operation: 30*83=2490, Resulting Numbers: [2490]
2490,22 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 #0,3,3
Current State: 22:[65, 48], Operations: ['62-32=30', '18+30=48']
Exploring Operation: 65*48=3120, Resulting Numbers: [3120]
3120,22 unequal: No Solution
Exploring Operation: 65+48=113, Resulting Numbers: [113]
113,22 unequal: No Solution
Exploring Operation: 65-48=17, Resulting Numbers: [17]
17,22 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: 22:[65, 32, 44], Operations: ['62-18=44']
Exploring Operation: 44-32=12, Resulting Numbers: [65, 12]
Generated Node #0,0,0: 22:[65, 12] Operation: 44-32=12
Exploring Operation: 65-32=33, Resulting Numbers: [44, 33]
Generated Node #0,0,1: 22:[44, 33] Operation: 65-32=33
Exploring Operation: 65-44=21, Resulting Numbers: [32, 21]
Generated Node #0,0,2: 22:[32, 21] Operation: 65-44=21
Exploring Operation: 65+44=109, Resulting Numbers: [32, 109]
Generated Node #0,0,3: 22:[32, 109] Operation: 65+44=109
Exploring Operation: 65+32=97, Resulting Numbers: [44, 97]
Generated Node #0,0,4: 22:[44, 97] Operation: 65+32=97
Moving to Node #0,1
Current State: 22:[62, 32, 47], Operations: ['65-18=47']
Exploring Operation: 62-47=15, Resulting Numbers: [32, 15]
Generated Node #0,1,0: 22:[32, 15] Operation: 62-47=15
Exploring Operation: 62-32=30, Resulting Numbers: [47, 30]
Generated Node #0,1,1: 22:[47, 30] Operation: 62-32=30
Exploring Operation: 62+47=109, Resulting Numbers: [32, 109]
Generated Node #0,1,2: 22:[32, 109] Operation: 62+47=109
Exploring Operation: 62+32=94, Resulting Numbers: [47, 94]
Generated Node #0,1,3: 22:[47, 94] Operation: 62+32=94
Exploring Operation: 47-32=15, Resulting Numbers: [62, 15]
Generated Node #0,1,4: 22:[62, 15] Operation: 47-32=15
Moving to Node #0,0,2
Current State: 22:[32, 21], Operations: ['62-18=44', '65-44=21']
Exploring Operation: 32*21=672, Resulting Numbers: [672]
672,22 unequal: No Solution
Exploring Operation: 32+21=53, Resulting Numbers: [53]
53,22 unequal: No Solution
Exploring Operation: 32-21=11, Resulting Numbers: [11]
11,22 unequal: No Solution
Moving to Node #0,1,0
Current State: 22:[32, 15], Operations: ['65-18=47', '62-47=15']
Exploring Operation: 32-15=17, Resulting Numbers: [17]
17,22 unequal: No Solution
Exploring Operation: 32+15=47, Resulting Numbers: [47]
47,22 unequal: No Solution
Exploring Operation: 32*15=480, Resulting Numbers: [480]
480,22 unequal: No Solution
Moving to Node #0,1,1
Current State: 22:[47, 30], Operations: ['65-18=47', '62-32=30']
Exploring Operation: 47+30=77, Resulting Numbers: [77]
77,22 unequal: No Solution
Exploring Operation: 47-30=17, Resulting Numbers: [17]
17,22 unequal: No Solution
Exploring Operation: 47*30=1410, Resulting Numbers: [1410]
1410,22 unequal: No Solution
Moving to Node #0,0,1
Current State: 22:[44, 33], Operations: ['62-18=44', '65-32=33']
Exploring Operation: 44*33=1452, Resulting Numbers: [1452]
1452,22 unequal: No Solution
Exploring Operation: 44+33=77, Resulting Numbers: [77]
77,22 unequal: No Solution
Exploring Operation: 44-33=11, Resulting Numbers: [11]
11,22 unequal: No Solution
Moving to Node #0,0,0
Current State: 22:[65, 12], Operations: ['62-18=44', '44-32=12']
Exploring Operation: 65+12=77, Resulting Numbers: [77]
77,22 unequal: No Solution
Exploring Operation: 65-12=53, Resulting Numbers: [53]
53,22 unequal: No Solution
Exploring Operation: 65*12=780, Resulting Numbers: [780]
780,22 unequal: No Solution
Moving to Node #0,1,4
Current State: 22:[62, 15], Operations: ['65-18=47', '47-32=15']
Exploring Operation: 62*15=930, Resulting Numbers: [930]
930,22 unequal: No Solution
Exploring Operation: 62+15=77, Resulting Numbers: [77]
77,22 unequal: No Solution
Exploring Operation: 62-15=47, Resulting Numbers: [47]
47,22 unequal: No Solution
Moving to Node #0,1,2
Current State: 22:[32, 109], Operations: ['65-18=47', '62+47=109']
Exploring Operation: 32+109=141, Resulting Numbers: [141]
141,22 unequal: No Solution
Exploring Operation: 109-32=77, Resulting Numbers: [77]
77,22 unequal: No Solution
Exploring Operation: 32*109=3488, Resulting Numbers: [3488]
3488,22 unequal: No Solution
Moving to Node #0,1,3
Current State: 22:[47, 94], Operations: ['65-18=47', '62+32=94']
Exploring Operation: 94/47=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Exploring Operation: 94-47=47, Resulting Numbers: [47]
47,22 unequal: No Solution
Exploring Operation: 47+94=141, Resulting Numbers: [141]
141,22 unequal: No Solution
Exploring Operation: 47*94=4418, Resulting Numbers: [4418]
4418,22 unequal: No Solution
Moving to Node #0,0,4
Current State: 22:[44, 97], Operations: ['62-18=44', '65+32=97']
Exploring Operation: 44*97=4268, Resulting Numbers: [4268]
4268,22 unequal: No Solution
Exploring Operation: 44+97=141, Resulting Numbers: [141]
141,22 unequal: No Solution
Exploring Operation: 97-44=53, Resulting Numbers: [53]
53,22 unequal: No Solution
Moving to Node #0,0,3
Current State: 22:[32, 109], Operations: ['62-18=44', '65+44=109']
Exploring Operation: 32*109=3488, Resulting Numbers: [3488]
3488,22 unequal: No Solution
Exploring Operation: 109-32=77, Resulting Numbers: [77]
77,22 unequal: No Solution
Exploring Operation: 32+109=141, Resulting Numbers: [141]
141,22 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
23,
17,
15,
21
] | 30 | [
"23-17=6",
"15+21=36",
"36-6=30"
] | Current State: 30:[23, 17, 15, 21], Operations: []
Exploring Operation: 23-17=6, Resulting Numbers: [15, 21, 6]
Generated Node #2: [15, 21, 6] from Operation: 23-17=6
Current State: 30:[15, 21, 6], Operations: ['23-17=6']
Exploring Operation: 15+21=36, Resulting Numbers: [6, 36]
Generated Node #3: [6, 36] from Operation: 15+21=36
Current State: 30:[6, 36], Operations: ['23-17=6', '15+21=36']
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[23, 17, 15, 21], Operations: []
Exploring Operation: 23-15=8, Resulting Numbers: [17, 21, 8]
Generated Node #0,0: 30:[17, 21, 8] Operation: 23-15=8
Exploring Operation: 23-17=6, Resulting Numbers: [15, 21, 6]
Generated Node #0,1: 30:[15, 21, 6] Operation: 23-17=6
Exploring Operation: 21-17=4, Resulting Numbers: [23, 15, 4]
Generated Node #0,2: 30:[23, 15, 4] Operation: 21-17=4
Exploring Operation: 21-15=6, Resulting Numbers: [23, 17, 6]
Generated Node #0,3: 30:[23, 17, 6] Operation: 21-15=6
Exploring Operation: 23-21=2, Resulting Numbers: [17, 15, 2]
Generated Node #0,4: 30:[17, 15, 2] Operation: 23-21=2
Start Sub Search at level 1: Moving to Node #0,4
Current State: 30:[17, 15, 2], Operations: ['23-21=2']
Exploring Operation: 15*2=30, Resulting Numbers: [17, 30]
Generated Node #0,4,0: 30:[17, 30] Operation: 15*2=30
Exploring Operation: 17-15=2, Resulting Numbers: [2, 2]
Generated Node #0,4,1: 30:[2, 2] Operation: 17-15=2
Exploring Operation: 17+2=19, Resulting Numbers: [15, 19]
Generated Node #0,4,2: 30:[15, 19] Operation: 17+2=19
Exploring Operation: 17-2=15, Resulting Numbers: [15, 15]
Generated Node #0,4,3: 30:[15, 15] Operation: 17-2=15
Exploring Operation: 17+15=32, Resulting Numbers: [2, 32]
Generated Node #0,4,4: 30:[2, 32] Operation: 17+15=32
Moving to Node #0,4,1
Current State: 30:[2, 2], Operations: ['23-21=2', '17-15=2']
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,30 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,30 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,30 unequal: No Solution
Moving to Node #0,4,3
Current State: 30:[15, 15], Operations: ['23-21=2', '17-2=15']
Exploring Operation: 15-15=0, Resulting Numbers: [0]
0,30 unequal: No Solution
Exploring Operation: 15*15=225, Resulting Numbers: [225]
225,30 unequal: No Solution
Exploring Operation: 15+15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[23, 17, 15, 21], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [17, 15, 2]
Generated Node #0,4: 30:[17, 15, 2] Operation: 23-21=2
Moving to Node #0,4
Current State: 30:[17, 15, 2], Operations: ['23-21=2']
Exploring Operation: 17-2=15, Resulting Numbers: [15, 15]
Generated Node #0,4,3: 30:[15, 15] Operation: 17-2=15
Moving to Node #0,4,3
Current State: 30:[15, 15], Operations: ['23-21=2', '17-2=15']
Exploring Operation: 15+15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | sum_heuristic |
[
9,
63,
90,
3
] | 30 | [
"9+90=99",
"99/3=33",
"63-33=30"
] | Current State: 30:[9, 63, 90, 3], Operations: []
Exploring Operation: 9+90=99, Resulting Numbers: [63, 3, 99]
Generated Node #2: [63, 3, 99] from Operation: 9+90=99
Current State: 30:[63, 3, 99], Operations: ['9+90=99']
Exploring Operation: 99/3=33, Resulting Numbers: [63, 33]
Generated Node #3: [63, 33] from Operation: 99/3=33
Current State: 30:[63, 33], Operations: ['9+90=99', '99/3=33']
Exploring Operation: 63-33=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[9, 63, 90, 3], Operations: []
Exploring Operation: 63/3=21, Resulting Numbers: [9, 90, 21]
Generated Node #0,0: 30:[9, 90, 21] Operation: 63/3=21
Exploring Operation: 63/9=7, Resulting Numbers: [90, 3, 7]
Generated Node #0,1: 30:[90, 3, 7] Operation: 63/9=7
Exploring Operation: 90/3=30, Resulting Numbers: [9, 63, 30]
Generated Node #0,2: 30:[9, 63, 30] Operation: 90/3=30
Exploring Operation: 90/9=10, Resulting Numbers: [63, 3, 10]
Generated Node #0,3: 30:[63, 3, 10] Operation: 90/9=10
Exploring Operation: 90-63=27, Resulting Numbers: [9, 3, 27]
Generated Node #0,4: 30:[9, 3, 27] Operation: 90-63=27
Moving to Node #0,4
Current State: 30:[9, 3, 27], Operations: ['90-63=27']
Exploring Operation: 27/9=3, Resulting Numbers: [3, 3]
Generated Node #0,4,0: 30:[3, 3] Operation: 27/9=3
Exploring Operation: 3+27=30, Resulting Numbers: [9, 30]
Generated Node #0,4,1: 30:[9, 30] Operation: 3+27=30
Exploring Operation: 9/3=3, Resulting Numbers: [27, 3]
Generated Node #0,4,2: 30:[27, 3] Operation: 9/3=3
Exploring Operation: 9-3=6, Resulting Numbers: [27, 6]
Generated Node #0,4,3: 30:[27, 6] Operation: 9-3=6
Exploring Operation: 27/3=9, Resulting Numbers: [9, 9]
Generated Node #0,4,4: 30:[9, 9] Operation: 27/3=9
Moving to Node #0,3
Current State: 30:[63, 3, 10], Operations: ['90/9=10']
Exploring Operation: 3*10=30, Resulting Numbers: [63, 30]
Generated Node #0,3,0: 30:[63, 30] Operation: 3*10=30
Exploring Operation: 63/3=21, Resulting Numbers: [10, 21]
Generated Node #0,3,1: 30:[10, 21] Operation: 63/3=21
Exploring Operation: 63-3=60, Resulting Numbers: [10, 60]
Generated Node #0,3,2: 30:[10, 60] Operation: 63-3=60
Exploring Operation: 10-3=7, Resulting Numbers: [63, 7]
Generated Node #0,3,3: 30:[63, 7] Operation: 10-3=7
Exploring Operation: 63-10=53, Resulting Numbers: [3, 53]
Generated Node #0,3,4: 30:[3, 53] Operation: 63-10=53
Moving to Node #0,2
Current State: 30:[9, 63, 30], Operations: ['90/3=30']
Exploring Operation: 63-30=33, Resulting Numbers: [9, 33]
Generated Node #0,2,0: 30:[9, 33] Operation: 63-30=33
Exploring Operation: 30-9=21, Resulting Numbers: [63, 21]
Generated Node #0,2,1: 30:[63, 21] Operation: 30-9=21
Exploring Operation: 63-9=54, Resulting Numbers: [30, 54]
Generated Node #0,2,2: 30:[30, 54] Operation: 63-9=54
Exploring Operation: 63/9=7, Resulting Numbers: [30, 7]
Generated Node #0,2,3: 30:[30, 7] Operation: 63/9=7
Exploring Operation: 9+63=72, Resulting Numbers: [30, 72]
Generated Node #0,2,4: 30:[30, 72] Operation: 9+63=72
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 30:[30, 7], Operations: ['90/3=30', '63/9=7']
Exploring Operation: 30*7=210, Resulting Numbers: [210]
210,30 unequal: No Solution
Exploring Operation: 30-7=23, Resulting Numbers: [23]
23,30 unequal: No Solution
Exploring Operation: 30+7=37, Resulting Numbers: [37]
37,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 30:[9, 33], Operations: ['90/3=30', '63-30=33']
Exploring Operation: 9+33=42, Resulting Numbers: [42]
42,30 unequal: No Solution
Exploring Operation: 33-9=24, Resulting Numbers: [24]
24,30 unequal: No Solution
Exploring Operation: 9*33=297, Resulting Numbers: [297]
297,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 30:[30, 54], Operations: ['90/3=30', '63-9=54']
Exploring Operation: 30+54=84, Resulting Numbers: [84]
84,30 unequal: No Solution
Exploring Operation: 54-30=24, Resulting Numbers: [24]
24,30 unequal: No Solution
Exploring Operation: 30*54=1620, Resulting Numbers: [1620]
1620,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 30:[63, 21], Operations: ['90/3=30', '30-9=21']
Exploring Operation: 63+21=84, Resulting Numbers: [84]
84,30 unequal: No Solution
Exploring Operation: 63*21=1323, Resulting Numbers: [1323]
1323,30 unequal: No Solution
Exploring Operation: 63/21=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 63-21=42, Resulting Numbers: [42]
42,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 30:[30, 72], Operations: ['90/3=30', '9+63=72']
Exploring Operation: 30+72=102, Resulting Numbers: [102]
102,30 unequal: No Solution
Exploring Operation: 72-30=42, Resulting Numbers: [42]
42,30 unequal: No Solution
Exploring Operation: 30*72=2160, Resulting Numbers: [2160]
2160,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 30:[90, 3, 7], Operations: ['63/9=7']
Exploring Operation: 3+7=10, Resulting Numbers: [90, 10]
Generated Node #0,1,0: 30:[90, 10] Operation: 3+7=10
Exploring Operation: 90/3=30, Resulting Numbers: [7, 30]
Generated Node #0,1,1: 30:[7, 30] Operation: 90/3=30
Exploring Operation: 90-3=87, Resulting Numbers: [7, 87]
Generated Node #0,1,2: 30:[7, 87] Operation: 90-3=87
Exploring Operation: 7-3=4, Resulting Numbers: [90, 4]
Generated Node #0,1,3: 30:[90, 4] Operation: 7-3=4
Exploring Operation: 90-7=83, Resulting Numbers: [3, 83]
Generated Node #0,1,4: 30:[3, 83] Operation: 90-7=83
Moving to Node #0,0
Current State: 30:[9, 90, 21], Operations: ['63/3=21']
Exploring Operation: 21-9=12, Resulting Numbers: [90, 12]
Generated Node #0,0,0: 30:[90, 12] Operation: 21-9=12
Exploring Operation: 90/9=10, Resulting Numbers: [21, 10]
Generated Node #0,0,1: 30:[21, 10] Operation: 90/9=10
Exploring Operation: 90-9=81, Resulting Numbers: [21, 81]
Generated Node #0,0,2: 30:[21, 81] Operation: 90-9=81
Exploring Operation: 9+21=30, Resulting Numbers: [90, 30]
Generated Node #0,0,3: 30:[90, 30] Operation: 9+21=30
Exploring Operation: 90-21=69, Resulting Numbers: [9, 69]
Generated Node #0,0,4: 30:[9, 69] Operation: 90-21=69
Moving to Node #0,4,0
Current State: 30:[3, 3], Operations: ['90-63=27', '27/9=3']
Exploring Operation: 3*3=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,30 unequal: No Solution
Exploring Operation: 3-3=0, Resulting Numbers: [0]
0,30 unequal: No Solution
Moving to Node #0,4,1
Current State: 30:[9, 30], Operations: ['90-63=27', '3+27=30']
Exploring Operation: 9+30=39, Resulting Numbers: [39]
39,30 unequal: No Solution
Exploring Operation: 9*30=270, Resulting Numbers: [270]
270,30 unequal: No Solution
Exploring Operation: 30-9=21, Resulting Numbers: [21]
21,30 unequal: No Solution
Moving to Node #0,1,1
Current State: 30:[7, 30], Operations: ['63/9=7', '90/3=30']
Exploring Operation: 30-7=23, Resulting Numbers: [23]
23,30 unequal: No Solution
Exploring Operation: 7+30=37, Resulting Numbers: [37]
37,30 unequal: No Solution
Exploring Operation: 7*30=210, Resulting Numbers: [210]
210,30 unequal: No Solution
Moving to Node #0,4,4
Current State: 30:[9, 9], Operations: ['90-63=27', '27/3=9']
Exploring Operation: 9-9=0, Resulting Numbers: [0]
0,30 unequal: No Solution
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,30 unequal: No Solution
Exploring Operation: 9+9=18, Resulting Numbers: [18]
18,30 unequal: No Solution
Exploring Operation: 9/9=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Moving to Node #0,4,3
Current State: 30:[27, 6], Operations: ['90-63=27', '9-3=6']
Exploring Operation: 27+6=33, Resulting Numbers: [33]
33,30 unequal: No Solution
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,30 unequal: No Solution
Exploring Operation: 27*6=162, Resulting Numbers: [162]
162,30 unequal: No Solution
Moving to Node #0,4,2
Current State: 30:[27, 3], Operations: ['90-63=27', '9/3=3']
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,30 unequal: No Solution
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,30 unequal: No Solution
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[9, 63, 90, 3], Operations: []
Exploring Operation: 90-63=27, Resulting Numbers: [9, 3, 27]
Generated Node #0,4: 30:[9, 3, 27] Operation: 90-63=27
Moving to Node #0,4
Current State: 30:[9, 3, 27], Operations: ['90-63=27']
Exploring Operation: 9/3=3, Resulting Numbers: [27, 3]
Generated Node #0,4,2: 30:[27, 3] Operation: 9/3=3
Moving to Node #0,4,2
Current State: 30:[27, 3], Operations: ['90-63=27', '9/3=3']
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 0.938368 | hs_5 | mult_heuristic |
[
1,
90,
86,
7
] | 99 | [
"1+90=91",
"91/7=13",
"86+13=99"
] | Current State: 99:[1, 90, 86, 7], Operations: []
Exploring Operation: 1+90=91, Resulting Numbers: [86, 7, 91]
Generated Node #2: [86, 7, 91] from Operation: 1+90=91
Current State: 99:[86, 7, 91], Operations: ['1+90=91']
Exploring Operation: 91/7=13, Resulting Numbers: [86, 13]
Generated Node #3: [86, 13] from Operation: 91/7=13
Current State: 99:[86, 13], Operations: ['1+90=91', '91/7=13']
Exploring Operation: 86+13=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[1, 90, 86, 7], Operations: []
Exploring Operation: 90-86=4, Resulting Numbers: [1, 7, 4]
Generated Node #0,0: 99:[1, 7, 4] Operation: 90-86=4
Exploring Operation: 90+7=97, Resulting Numbers: [1, 86, 97]
Generated Node #0,1: 99:[1, 86, 97] Operation: 90+7=97
Exploring Operation: 86+7=93, Resulting Numbers: [1, 90, 93]
Generated Node #0,2: 99:[1, 90, 93] Operation: 86+7=93
Moving to Node #0,0
Current State: 99:[1, 7, 4], Operations: ['90-86=4']
Exploring Operation: 7+4=11, Resulting Numbers: [1, 11]
Generated Node #0,0,0: 99:[1, 11] Operation: 7+4=11
Exploring Operation: 4-1=3, Resulting Numbers: [7, 3]
Generated Node #0,0,1: 99:[7, 3] Operation: 4-1=3
Exploring Operation: 1+7=8, Resulting Numbers: [4, 8]
Generated Node #0,0,2: 99:[4, 8] Operation: 1+7=8
Moving to Node #0,1
Current State: 99:[1, 86, 97], Operations: ['90+7=97']
Exploring Operation: 97-86=11, Resulting Numbers: [1, 11]
Generated Node #0,1,0: 99:[1, 11] Operation: 97-86=11
Exploring Operation: 1+97=98, Resulting Numbers: [86, 98]
Generated Node #0,1,1: 99:[86, 98] Operation: 1+97=98
Exploring Operation: 1+86=87, Resulting Numbers: [97, 87]
Generated Node #0,1,2: 99:[97, 87] Operation: 1+86=87
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 99:[1, 11], Operations: ['90+7=97', '97-86=11']
Exploring Operation: 1+11=12, Resulting Numbers: [12]
12,99 unequal: No Solution
Exploring Operation: 1*11=11, Resulting Numbers: [11]
11,99 unequal: No Solution
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 99:[86, 98], Operations: ['90+7=97', '1+97=98']
Exploring Operation: 86+98=184, Resulting Numbers: [184]
184,99 unequal: No Solution
Exploring Operation: 98-86=12, Resulting Numbers: [12]
12,99 unequal: No Solution
Exploring Operation: 86*98=8428, Resulting Numbers: [8428]
8428,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 99:[97, 87], Operations: ['90+7=97', '1+86=87']
Exploring Operation: 97*87=8439, Resulting Numbers: [8439]
8439,99 unequal: No Solution
Exploring Operation: 97-87=10, Resulting Numbers: [10]
10,99 unequal: No Solution
Exploring Operation: 97+87=184, Resulting Numbers: [184]
184,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 99:[1, 90, 93], Operations: ['86+7=93']
Exploring Operation: 1+90=91, Resulting Numbers: [93, 91]
Generated Node #0,2,0: 99:[93, 91] Operation: 1+90=91
Exploring Operation: 1+93=94, Resulting Numbers: [90, 94]
Generated Node #0,2,1: 99:[90, 94] Operation: 1+93=94
Exploring Operation: 93-90=3, Resulting Numbers: [1, 3]
Generated Node #0,2,2: 99:[1, 3] Operation: 93-90=3
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 99:[1, 3], Operations: ['86+7=93', '93-90=3']
Exploring Operation: 1+3=4, Resulting Numbers: [4]
4,99 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,99 unequal: No Solution
Exploring Operation: 1*3=3, Resulting Numbers: [3]
3,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 99:[93, 91], Operations: ['86+7=93', '1+90=91']
Exploring Operation: 93+91=184, Resulting Numbers: [184]
184,99 unequal: No Solution
Exploring Operation: 93-91=2, Resulting Numbers: [2]
2,99 unequal: No Solution
Exploring Operation: 93*91=8463, Resulting Numbers: [8463]
8463,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 99:[90, 94], Operations: ['86+7=93', '1+93=94']
Exploring Operation: 90*94=8460, Resulting Numbers: [8460]
8460,99 unequal: No Solution
Exploring Operation: 90+94=184, Resulting Numbers: [184]
184,99 unequal: No Solution
Exploring Operation: 94-90=4, Resulting Numbers: [4]
4,99 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: 99:[1, 11], Operations: ['90-86=4', '7+4=11']
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,99 unequal: No Solution
Exploring Operation: 1+11=12, Resulting Numbers: [12]
12,99 unequal: No Solution
Exploring Operation: 1*11=11, Resulting Numbers: [11]
11,99 unequal: No Solution
Moving to Node #0,0,1
Current State: 99:[7, 3], Operations: ['90-86=4', '4-1=3']
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,99 unequal: No Solution
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,99 unequal: No Solution
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,99 unequal: No Solution
Moving to Node #0,0,2
Current State: 99:[4, 8], Operations: ['90-86=4', '1+7=8']
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,99 unequal: No Solution
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,99 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,99 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
6,
98,
3,
78
] | 58 | [
"6/3=2",
"78*2=156",
"156-98=58"
] | Current State: 58:[6, 98, 3, 78], Operations: []
Exploring Operation: 6/3=2, Resulting Numbers: [98, 78, 2]
Generated Node #2: [98, 78, 2] from Operation: 6/3=2
Current State: 58:[98, 78, 2], Operations: ['6/3=2']
Exploring Operation: 78*2=156, Resulting Numbers: [98, 156]
Generated Node #3: [98, 156] from Operation: 78*2=156
Current State: 58:[98, 156], Operations: ['6/3=2', '78*2=156']
Exploring Operation: 156-98=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[6, 98, 3, 78], Operations: []
Exploring Operation: 78/6=13, Resulting Numbers: [98, 3, 13]
Generated Node #0,0: 58:[98, 3, 13] Operation: 78/6=13
Exploring Operation: 98-78=20, Resulting Numbers: [6, 3, 20]
Generated Node #0,1: 58:[6, 3, 20] Operation: 98-78=20
Exploring Operation: 78/3=26, Resulting Numbers: [6, 98, 26]
Generated Node #0,2: 58:[6, 98, 26] Operation: 78/3=26
Moving to Node #0,1
Current State: 58:[6, 3, 20], Operations: ['98-78=20']
Exploring Operation: 3*20=60, Resulting Numbers: [6, 60]
Generated Node #0,1,0: 58:[6, 60] Operation: 3*20=60
Exploring Operation: 6/3=2, Resulting Numbers: [20, 2]
Generated Node #0,1,1: 58:[20, 2] Operation: 6/3=2
Exploring Operation: 6+20=26, Resulting Numbers: [3, 26]
Generated Node #0,1,2: 58:[3, 26] Operation: 6+20=26
Moving to Node #0,2
Current State: 58:[6, 98, 26], Operations: ['78/3=26']
Exploring Operation: 6+26=32, Resulting Numbers: [98, 32]
Generated Node #0,2,0: 58:[98, 32] Operation: 6+26=32
Exploring Operation: 98-26=72, Resulting Numbers: [6, 72]
Generated Node #0,2,1: 58:[6, 72] Operation: 98-26=72
Exploring Operation: 98-6=92, Resulting Numbers: [26, 92]
Generated Node #0,2,2: 58:[26, 92] Operation: 98-6=92
Moving to Node #0,0
Current State: 58:[98, 3, 13], Operations: ['78/6=13']
Exploring Operation: 13-3=10, Resulting Numbers: [98, 10]
Generated Node #0,0,0: 58:[98, 10] Operation: 13-3=10
Exploring Operation: 98-3=95, Resulting Numbers: [13, 95]
Generated Node #0,0,1: 58:[13, 95] Operation: 98-3=95
Exploring Operation: 98-13=85, Resulting Numbers: [3, 85]
Generated Node #0,0,2: 58:[3, 85] Operation: 98-13=85
Moving to Node #0,1,2
Current State: 58:[3, 26], Operations: ['98-78=20', '6+20=26']
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,58 unequal: No Solution
Exploring Operation: 3+26=29, Resulting Numbers: [29]
29,58 unequal: No Solution
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,58 unequal: No Solution
Moving to Node #0,1,0
Current State: 58:[6, 60], Operations: ['98-78=20', '3*20=60']
Exploring Operation: 60-6=54, Resulting Numbers: [54]
54,58 unequal: No Solution
Exploring Operation: 60/6=10, Resulting Numbers: [10]
10,58 unequal: No Solution
Exploring Operation: 6+60=66, Resulting Numbers: [66]
66,58 unequal: No Solution
Moving to Node #0,1,1
Current State: 58:[20, 2], Operations: ['98-78=20', '6/3=2']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,58 unequal: No Solution
Exploring Operation: 20*2=40, Resulting Numbers: [40]
40,58 unequal: No Solution
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Moving to Node #0,2,1
Current State: 58:[6, 72], Operations: ['78/3=26', '98-26=72']
Exploring Operation: 6+72=78, Resulting Numbers: [78]
78,58 unequal: No Solution
Exploring Operation: 72/6=12, Resulting Numbers: [12]
12,58 unequal: No Solution
Exploring Operation: 72-6=66, Resulting Numbers: [66]
66,58 unequal: No Solution
Moving to Node #0,0,2
Current State: 58:[3, 85], Operations: ['78/6=13', '98-13=85']
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,58 unequal: No Solution
Exploring Operation: 3+85=88, Resulting Numbers: [88]
88,58 unequal: No Solution
Exploring Operation: 3*85=255, Resulting Numbers: [255]
255,58 unequal: No Solution
Moving to Node #0,2,2
Current State: 58:[26, 92], Operations: ['78/3=26', '98-6=92']
Exploring Operation: 92-26=66, Resulting Numbers: [66]
66,58 unequal: No Solution
Exploring Operation: 26+92=118, Resulting Numbers: [118]
118,58 unequal: No Solution
Exploring Operation: 26*92=2392, Resulting Numbers: [2392]
2392,58 unequal: No Solution
Moving to Node #0,2,0
Current State: 58:[98, 32], Operations: ['78/3=26', '6+26=32']
Exploring Operation: 98+32=130, Resulting Numbers: [130]
130,58 unequal: No Solution
Exploring Operation: 98*32=3136, Resulting Numbers: [3136]
3136,58 unequal: No Solution
Exploring Operation: 98-32=66, Resulting Numbers: [66]
66,58 unequal: No Solution
Moving to Node #0,0,0
Current State: 58:[98, 10], Operations: ['78/6=13', '13-3=10']
Exploring Operation: 98-10=88, Resulting Numbers: [88]
88,58 unequal: No Solution
Exploring Operation: 98*10=980, Resulting Numbers: [980]
980,58 unequal: No Solution
Exploring Operation: 98+10=108, Resulting Numbers: [108]
108,58 unequal: No Solution
Moving to Node #0,0,1
Current State: 58:[13, 95], Operations: ['78/6=13', '98-3=95']
Exploring Operation: 13+95=108, Resulting Numbers: [108]
108,58 unequal: No Solution
Exploring Operation: 13*95=1235, Resulting Numbers: [1235]
1235,58 unequal: No Solution
Exploring Operation: 95-13=82, Resulting Numbers: [82]
82,58 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
27,
54,
48,
33
] | 83 | [
"54/27=2",
"48+33=81",
"2+81=83"
] | Current State: 83:[27, 54, 48, 33], Operations: []
Exploring Operation: 54/27=2, Resulting Numbers: [48, 33, 2]
Generated Node #2: [48, 33, 2] from Operation: 54/27=2
Current State: 83:[48, 33, 2], Operations: ['54/27=2']
Exploring Operation: 48+33=81, Resulting Numbers: [2, 81]
Generated Node #3: [2, 81] from Operation: 48+33=81
Current State: 83:[2, 81], Operations: ['54/27=2', '48+33=81']
Exploring Operation: 2+81=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[27, 54, 48, 33], Operations: []
Exploring Operation: 27+54=81, Resulting Numbers: [48, 33, 81]
Generated Node #0,0: 83:[48, 33, 81] Operation: 27+54=81
Exploring Operation: 27+48=75, Resulting Numbers: [54, 33, 75]
Generated Node #0,1: 83:[54, 33, 75] Operation: 27+48=75
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[48, 33, 81], Operations: ['27+54=81']
Exploring Operation: 48+33=81, Resulting Numbers: [81, 81]
Generated Node #0,0,0: 83:[81, 81] Operation: 48+33=81
Exploring Operation: 33+81=114, Resulting Numbers: [48, 114]
Generated Node #0,0,1: 83:[48, 114] Operation: 33+81=114
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[81, 81], Operations: ['27+54=81', '48+33=81']
Exploring Operation: 81+81=162, Resulting Numbers: [162]
162,83 unequal: No Solution
Exploring Operation: 81/81=1, Resulting Numbers: [1]
1,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 83:[48, 114], Operations: ['27+54=81', '33+81=114']
Exploring Operation: 48+114=162, Resulting Numbers: [162]
162,83 unequal: No Solution
Exploring Operation: 114-48=66, Resulting Numbers: [66]
66,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[54, 33, 75], Operations: ['27+48=75']
Exploring Operation: 33+75=108, Resulting Numbers: [54, 108]
Generated Node #0,1,0: 83:[54, 108] Operation: 33+75=108
Exploring Operation: 54+33=87, Resulting Numbers: [75, 87]
Generated Node #0,1,1: 83:[75, 87] Operation: 54+33=87
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 83:[75, 87], Operations: ['27+48=75', '54+33=87']
Exploring Operation: 75+87=162, Resulting Numbers: [162]
162,83 unequal: No Solution
Exploring Operation: 87-75=12, Resulting Numbers: [12]
12,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 83:[54, 108], Operations: ['27+48=75', '33+75=108']
Exploring Operation: 108-54=54, Resulting Numbers: [54]
54,83 unequal: No Solution
Exploring Operation: 54+108=162, Resulting Numbers: [162]
162,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
43,
35,
68,
6
] | 10 | [
"43-35=8",
"68-8=60",
"60/6=10"
] | Current State: 10:[43, 35, 68, 6], Operations: []
Exploring Operation: 43-35=8, Resulting Numbers: [68, 6, 8]
Generated Node #2: [68, 6, 8] from Operation: 43-35=8
Current State: 10:[68, 6, 8], Operations: ['43-35=8']
Exploring Operation: 68-8=60, Resulting Numbers: [6, 60]
Generated Node #3: [6, 60] from Operation: 68-8=60
Current State: 10:[6, 60], Operations: ['43-35=8', '68-8=60']
Exploring Operation: 60/6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[43, 35, 68, 6], Operations: []
Exploring Operation: 68-43=25, Resulting Numbers: [35, 6, 25]
Generated Node #0,0: 10:[35, 6, 25] Operation: 68-43=25
Moving to Node #0,0
Current State: 10:[35, 6, 25], Operations: ['68-43=25']
Exploring Operation: 35-25=10, Resulting Numbers: [6, 10]
Generated Node #0,0,0: 10:[6, 10] Operation: 35-25=10
Moving to Node #0,0,0
Current State: 10:[6, 10], Operations: ['68-43=25', '35-25=10']
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,10 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
73,
38,
54,
88
] | 69 | [
"73-38=35",
"88-54=34",
"35+34=69"
] | Current State: 69:[73, 38, 54, 88], Operations: []
Exploring Operation: 73-38=35, Resulting Numbers: [54, 88, 35]
Generated Node #2: [54, 88, 35] from Operation: 73-38=35
Current State: 69:[54, 88, 35], Operations: ['73-38=35']
Exploring Operation: 88-54=34, Resulting Numbers: [35, 34]
Generated Node #3: [35, 34] from Operation: 88-54=34
Current State: 69:[35, 34], Operations: ['73-38=35', '88-54=34']
Exploring Operation: 35+34=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[73, 38, 54, 88], Operations: []
Exploring Operation: 54-38=16, Resulting Numbers: [73, 88, 16]
Generated Node #0,0: 69:[73, 88, 16] Operation: 54-38=16
Moving to Node #0,0
Current State: 69:[73, 88, 16], Operations: ['54-38=16']
Exploring Operation: 88-16=72, Resulting Numbers: [73, 72]
Generated Node #0,0,0: 69:[73, 72] Operation: 88-16=72
Moving to Node #0,0,0
Current State: 69:[73, 72], Operations: ['54-38=16', '88-16=72']
Exploring Operation: 73-72=1, Resulting Numbers: [1]
1,69 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
1,
24,
85,
89
] | 27 | [
"24-1=23",
"89-85=4",
"23+4=27"
] | Current State: 27:[1, 24, 85, 89], Operations: []
Exploring Operation: 24-1=23, Resulting Numbers: [85, 89, 23]
Generated Node #2: [85, 89, 23] from Operation: 24-1=23
Current State: 27:[85, 89, 23], Operations: ['24-1=23']
Exploring Operation: 89-85=4, Resulting Numbers: [23, 4]
Generated Node #3: [23, 4] from Operation: 89-85=4
Current State: 27:[23, 4], Operations: ['24-1=23', '89-85=4']
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[1, 24, 85, 89], Operations: []
Exploring Operation: 89-85=4, Resulting Numbers: [1, 24, 4]
Generated Node #0,0: 27:[1, 24, 4] Operation: 89-85=4
Exploring Operation: 85-24=61, Resulting Numbers: [1, 89, 61]
Generated Node #0,1: 27:[1, 89, 61] Operation: 85-24=61
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[1, 24, 4], Operations: ['89-85=4']
Exploring Operation: 4-1=3, Resulting Numbers: [24, 3]
Generated Node #0,0,0: 27:[24, 3] Operation: 4-1=3
Exploring Operation: 1+24=25, Resulting Numbers: [4, 25]
Generated Node #0,0,1: 27:[4, 25] Operation: 1+24=25
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 27:[24, 3], Operations: ['89-85=4', '4-1=3']
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,27 unequal: No Solution
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[1, 24, 85, 89], Operations: []
Exploring Operation: 89-85=4, Resulting Numbers: [1, 24, 4]
Generated Node #0,0: 27:[1, 24, 4] Operation: 89-85=4
Moving to Node #0,0
Current State: 27:[1, 24, 4], Operations: ['89-85=4']
Exploring Operation: 4-1=3, Resulting Numbers: [24, 3]
Generated Node #0,0,0: 27:[24, 3] Operation: 4-1=3
Moving to Node #0,0,0
Current State: 27:[24, 3], Operations: ['89-85=4', '4-1=3']
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
39,
2,
30,
71
] | 37 | [
"39*2=78",
"71-30=41",
"78-41=37"
] | Current State: 37:[39, 2, 30, 71], Operations: []
Exploring Operation: 39*2=78, Resulting Numbers: [30, 71, 78]
Generated Node #2: [30, 71, 78] from Operation: 39*2=78
Current State: 37:[30, 71, 78], Operations: ['39*2=78']
Exploring Operation: 71-30=41, Resulting Numbers: [78, 41]
Generated Node #3: [78, 41] from Operation: 71-30=41
Current State: 37:[78, 41], Operations: ['39*2=78', '71-30=41']
Exploring Operation: 78-41=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[39, 2, 30, 71], Operations: []
Exploring Operation: 39-2=37, Resulting Numbers: [30, 71, 37]
Generated Node #0,0: 37:[30, 71, 37] Operation: 39-2=37
Exploring Operation: 2+30=32, Resulting Numbers: [39, 71, 32]
Generated Node #0,1: 37:[39, 71, 32] Operation: 2+30=32
Moving to Node #0,0
Current State: 37:[30, 71, 37], Operations: ['39-2=37']
Exploring Operation: 71-37=34, Resulting Numbers: [30, 34]
Generated Node #0,0,0: 37:[30, 34] Operation: 71-37=34
Exploring Operation: 71-30=41, Resulting Numbers: [37, 41]
Generated Node #0,0,1: 37:[37, 41] Operation: 71-30=41
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 37:[37, 41], Operations: ['39-2=37', '71-30=41']
Exploring Operation: 41-37=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Exploring Operation: 37+41=78, Resulting Numbers: [78]
78,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[30, 34], Operations: ['39-2=37', '71-37=34']
Exploring Operation: 30+34=64, Resulting Numbers: [64]
64,37 unequal: No Solution
Exploring Operation: 34-30=4, Resulting Numbers: [4]
4,37 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: 37:[39, 71, 32], Operations: ['2+30=32']
Exploring Operation: 71-39=32, Resulting Numbers: [32, 32]
Generated Node #0,1,0: 37:[32, 32] Operation: 71-39=32
Exploring Operation: 71-32=39, Resulting Numbers: [39, 39]
Generated Node #0,1,1: 37:[39, 39] Operation: 71-32=39
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 37:[39, 39], Operations: ['2+30=32', '71-32=39']
Exploring Operation: 39-39=0, Resulting Numbers: [0]
0,37 unequal: No Solution
Exploring Operation: 39/39=1, Resulting Numbers: [1]
1,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 37:[32, 32], Operations: ['2+30=32', '71-39=32']
Exploring Operation: 32/32=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Exploring Operation: 32+32=64, Resulting Numbers: [64]
64,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
32,
64,
49,
6
] | 38 | [
"49-32=17",
"6*17=102",
"102-64=38"
] | Current State: 38:[32, 64, 49, 6], Operations: []
Exploring Operation: 49-32=17, Resulting Numbers: [64, 6, 17]
Generated Node #2: [64, 6, 17] from Operation: 49-32=17
Current State: 38:[64, 6, 17], Operations: ['49-32=17']
Exploring Operation: 6*17=102, Resulting Numbers: [64, 102]
Generated Node #3: [64, 102] from Operation: 6*17=102
Current State: 38:[64, 102], Operations: ['49-32=17', '6*17=102']
Exploring Operation: 102-64=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[32, 64, 49, 6], Operations: []
Exploring Operation: 64/32=2, Resulting Numbers: [49, 6, 2]
Generated Node #0,0: 38:[49, 6, 2] Operation: 64/32=2
Exploring Operation: 64-49=15, Resulting Numbers: [32, 6, 15]
Generated Node #0,1: 38:[32, 6, 15] Operation: 64-49=15
Moving to Node #0,1
Current State: 38:[32, 6, 15], Operations: ['64-49=15']
Exploring Operation: 32-15=17, Resulting Numbers: [6, 17]
Generated Node #0,1,0: 38:[6, 17] Operation: 32-15=17
Exploring Operation: 32+6=38, Resulting Numbers: [15, 38]
Generated Node #0,1,1: 38:[15, 38] Operation: 32+6=38
Moving to Node #0,0
Current State: 38:[49, 6, 2], Operations: ['64/32=2']
Exploring Operation: 49-6=43, Resulting Numbers: [2, 43]
Generated Node #0,0,0: 38:[2, 43] Operation: 49-6=43
Exploring Operation: 6/2=3, Resulting Numbers: [49, 3]
Generated Node #0,0,1: 38:[49, 3] Operation: 6/2=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 38:[2, 43], Operations: ['64/32=2', '49-6=43']
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,38 unequal: No Solution
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,38 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 #0,0,1
Current State: 38:[49, 3], Operations: ['64/32=2', '6/2=3']
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,38 unequal: No Solution
Exploring Operation: 49+3=52, Resulting Numbers: [52]
52,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 38:[15, 38], Operations: ['64-49=15', '32+6=38']
Exploring Operation: 15+38=53, Resulting Numbers: [53]
53,38 unequal: No Solution
Exploring Operation: 38-15=23, Resulting Numbers: [23]
23,38 unequal: No Solution
Moving to Node #0,1,0
Current State: 38:[6, 17], Operations: ['64-49=15', '32-15=17']
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,38 unequal: No Solution
Exploring Operation: 6+17=23, Resulting Numbers: [23]
23,38 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
30,
20,
39,
64
] | 38 | [
"20*39=780",
"780/30=26",
"64-26=38"
] | Current State: 38:[30, 20, 39, 64], Operations: []
Exploring Operation: 20*39=780, Resulting Numbers: [30, 64, 780]
Generated Node #2: [30, 64, 780] from Operation: 20*39=780
Current State: 38:[30, 64, 780], Operations: ['20*39=780']
Exploring Operation: 780/30=26, Resulting Numbers: [64, 26]
Generated Node #3: [64, 26] from Operation: 780/30=26
Current State: 38:[64, 26], Operations: ['20*39=780', '780/30=26']
Exploring Operation: 64-26=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[30, 20, 39, 64], Operations: []
Exploring Operation: 64-30=34, Resulting Numbers: [20, 39, 34]
Generated Node #0,0: 38:[20, 39, 34] Operation: 64-30=34
Exploring Operation: 64-20=44, Resulting Numbers: [30, 39, 44]
Generated Node #0,1: 38:[30, 39, 44] Operation: 64-20=44
Exploring Operation: 64-39=25, Resulting Numbers: [30, 20, 25]
Generated Node #0,2: 38:[30, 20, 25] Operation: 64-39=25
Exploring Operation: 39-30=9, Resulting Numbers: [20, 64, 9]
Generated Node #0,3: 38:[20, 64, 9] Operation: 39-30=9
Moving to Node #0,0
Current State: 38:[20, 39, 34], Operations: ['64-30=34']
Exploring Operation: 34-20=14, Resulting Numbers: [39, 14]
Generated Node #0,0,0: 38:[39, 14] Operation: 34-20=14
Exploring Operation: 39-20=19, Resulting Numbers: [34, 19]
Generated Node #0,0,1: 38:[34, 19] Operation: 39-20=19
Exploring Operation: 39-34=5, Resulting Numbers: [20, 5]
Generated Node #0,0,2: 38:[20, 5] Operation: 39-34=5
Exploring Operation: 20+34=54, Resulting Numbers: [39, 54]
Generated Node #0,0,3: 38:[39, 54] Operation: 20+34=54
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 38:[34, 19], Operations: ['64-30=34', '39-20=19']
Exploring Operation: 34-19=15, Resulting Numbers: [15]
15,38 unequal: No Solution
Exploring Operation: 34+19=53, Resulting Numbers: [53]
53,38 unequal: No Solution
Exploring Operation: 34*19=646, Resulting Numbers: [646]
646,38 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 #0,0,2
Current State: 38:[20, 5], Operations: ['64-30=34', '39-34=5']
Exploring Operation: 20+5=25, Resulting Numbers: [25]
25,38 unequal: No Solution
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,38 unequal: No Solution
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,38 unequal: No Solution
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,38 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 #0,0,0
Current State: 38:[39, 14], Operations: ['64-30=34', '34-20=14']
Exploring Operation: 39*14=546, Resulting Numbers: [546]
546,38 unequal: No Solution
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,38 unequal: No Solution
Exploring Operation: 39+14=53, Resulting Numbers: [53]
53,38 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 #0,0,3
Current State: 38:[39, 54], Operations: ['64-30=34', '20+34=54']
Exploring Operation: 39+54=93, Resulting Numbers: [93]
93,38 unequal: No Solution
Exploring Operation: 54-39=15, Resulting Numbers: [15]
15,38 unequal: No Solution
Exploring Operation: 39*54=2106, Resulting Numbers: [2106]
2106,38 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: 38:[30, 20, 25], Operations: ['64-39=25']
Exploring Operation: 20+25=45, Resulting Numbers: [30, 45]
Generated Node #0,2,0: 38:[30, 45] Operation: 20+25=45
Exploring Operation: 25-20=5, Resulting Numbers: [30, 5]
Generated Node #0,2,1: 38:[30, 5] Operation: 25-20=5
Exploring Operation: 30-20=10, Resulting Numbers: [25, 10]
Generated Node #0,2,2: 38:[25, 10] Operation: 30-20=10
Exploring Operation: 30-25=5, Resulting Numbers: [20, 5]
Generated Node #0,2,3: 38:[20, 5] Operation: 30-25=5
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 38:[20, 5], Operations: ['64-39=25', '30-25=5']
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,38 unequal: No Solution
Exploring Operation: 20+5=25, Resulting Numbers: [25]
25,38 unequal: No Solution
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,38 unequal: No Solution
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,38 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:[30, 5], Operations: ['64-39=25', '25-20=5']
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,38 unequal: No Solution
Exploring Operation: 30*5=150, Resulting Numbers: [150]
150,38 unequal: No Solution
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,38 unequal: No Solution
Exploring Operation: 30+5=35, Resulting Numbers: [35]
35,38 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 #0,2,2
Current State: 38:[25, 10], Operations: ['64-39=25', '30-20=10']
Exploring Operation: 25+10=35, Resulting Numbers: [35]
35,38 unequal: No Solution
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,38 unequal: No Solution
Exploring Operation: 25*10=250, Resulting Numbers: [250]
250,38 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:[30, 45], Operations: ['64-39=25', '20+25=45']
Exploring Operation: 45-30=15, Resulting Numbers: [15]
15,38 unequal: No Solution
Exploring Operation: 30*45=1350, Resulting Numbers: [1350]
1350,38 unequal: No Solution
Exploring Operation: 30+45=75, Resulting Numbers: [75]
75,38 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: 38:[30, 39, 44], Operations: ['64-20=44']
Exploring Operation: 39-30=9, Resulting Numbers: [44, 9]
Generated Node #0,1,0: 38:[44, 9] Operation: 39-30=9
Exploring Operation: 44-30=14, Resulting Numbers: [39, 14]
Generated Node #0,1,1: 38:[39, 14] Operation: 44-30=14
Exploring Operation: 44-39=5, Resulting Numbers: [30, 5]
Generated Node #0,1,2: 38:[30, 5] Operation: 44-39=5
Exploring Operation: 30+39=69, Resulting Numbers: [44, 69]
Generated Node #0,1,3: 38:[44, 69] Operation: 30+39=69
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 38:[39, 14], Operations: ['64-20=44', '44-30=14']
Exploring Operation: 39+14=53, Resulting Numbers: [53]
53,38 unequal: No Solution
Exploring Operation: 39*14=546, Resulting Numbers: [546]
546,38 unequal: No Solution
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,38 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 #0,1,2
Current State: 38:[30, 5], Operations: ['64-20=44', '44-39=5']
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,38 unequal: No Solution
Exploring Operation: 30+5=35, Resulting Numbers: [35]
35,38 unequal: No Solution
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,38 unequal: No Solution
Exploring Operation: 30*5=150, Resulting Numbers: [150]
150,38 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 #0,1,0
Current State: 38:[44, 9], Operations: ['64-20=44', '39-30=9']
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,38 unequal: No Solution
Exploring Operation: 44+9=53, Resulting Numbers: [53]
53,38 unequal: No Solution
Exploring Operation: 44*9=396, Resulting Numbers: [396]
396,38 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 #0,1,3
Current State: 38:[44, 69], Operations: ['64-20=44', '30+39=69']
Exploring Operation: 69-44=25, Resulting Numbers: [25]
25,38 unequal: No Solution
Exploring Operation: 44*69=3036, Resulting Numbers: [3036]
3036,38 unequal: No Solution
Exploring Operation: 44+69=113, Resulting Numbers: [113]
113,38 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: 38:[20, 64, 9], Operations: ['39-30=9']
Exploring Operation: 64-9=55, Resulting Numbers: [20, 55]
Generated Node #0,3,0: 38:[20, 55] Operation: 64-9=55
Exploring Operation: 64-20=44, Resulting Numbers: [9, 44]
Generated Node #0,3,1: 38:[9, 44] Operation: 64-20=44
Exploring Operation: 20-9=11, Resulting Numbers: [64, 11]
Generated Node #0,3,2: 38:[64, 11] Operation: 20-9=11
Exploring Operation: 20+9=29, Resulting Numbers: [64, 29]
Generated Node #0,3,3: 38:[64, 29] Operation: 20+9=29
Moving to Node #0,3,1
Current State: 38:[9, 44], Operations: ['39-30=9', '64-20=44']
Exploring Operation: 9*44=396, Resulting Numbers: [396]
396,38 unequal: No Solution
Exploring Operation: 9+44=53, Resulting Numbers: [53]
53,38 unequal: No Solution
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,38 unequal: No Solution
Moving to Node #0,3,0
Current State: 38:[20, 55], Operations: ['39-30=9', '64-9=55']
Exploring Operation: 20*55=1100, Resulting Numbers: [1100]
1100,38 unequal: No Solution
Exploring Operation: 55-20=35, Resulting Numbers: [35]
35,38 unequal: No Solution
Exploring Operation: 20+55=75, Resulting Numbers: [75]
75,38 unequal: No Solution
Moving to Node #0,3,2
Current State: 38:[64, 11], Operations: ['39-30=9', '20-9=11']
Exploring Operation: 64+11=75, Resulting Numbers: [75]
75,38 unequal: No Solution
Exploring Operation: 64-11=53, Resulting Numbers: [53]
53,38 unequal: No Solution
Exploring Operation: 64*11=704, Resulting Numbers: [704]
704,38 unequal: No Solution
Moving to Node #0,3,3
Current State: 38:[64, 29], Operations: ['39-30=9', '20+9=29']
Exploring Operation: 64-29=35, Resulting Numbers: [35]
35,38 unequal: No Solution
Exploring Operation: 64*29=1856, Resulting Numbers: [1856]
1856,38 unequal: No Solution
Exploring Operation: 64+29=93, Resulting Numbers: [93]
93,38 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
28,
57,
65,
60
] | 80 | [
"28+57=85",
"65-60=5",
"85-5=80"
] | Current State: 80:[28, 57, 65, 60], Operations: []
Exploring Operation: 28+57=85, Resulting Numbers: [65, 60, 85]
Generated Node #2: [65, 60, 85] from Operation: 28+57=85
Current State: 80:[65, 60, 85], Operations: ['28+57=85']
Exploring Operation: 65-60=5, Resulting Numbers: [85, 5]
Generated Node #3: [85, 5] from Operation: 65-60=5
Current State: 80:[85, 5], Operations: ['28+57=85', '65-60=5']
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[28, 57, 65, 60], Operations: []
Exploring Operation: 65-60=5, Resulting Numbers: [28, 57, 5]
Generated Node #0,0: 80:[28, 57, 5] Operation: 65-60=5
Exploring Operation: 60-57=3, Resulting Numbers: [28, 65, 3]
Generated Node #0,1: 80:[28, 65, 3] Operation: 60-57=3
Moving to Node #0,1
Current State: 80:[28, 65, 3], Operations: ['60-57=3']
Exploring Operation: 65-28=37, Resulting Numbers: [3, 37]
Generated Node #0,1,0: 80:[3, 37] Operation: 65-28=37
Exploring Operation: 28+65=93, Resulting Numbers: [3, 93]
Generated Node #0,1,1: 80:[3, 93] Operation: 28+65=93
Moving to Node #0,0
Current State: 80:[28, 57, 5], Operations: ['65-60=5']
Exploring Operation: 28+57=85, Resulting Numbers: [5, 85]
Generated Node #0,0,0: 80:[5, 85] Operation: 28+57=85
Exploring Operation: 57-28=29, Resulting Numbers: [5, 29]
Generated Node #0,0,1: 80:[5, 29] Operation: 57-28=29
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 80:[5, 85], Operations: ['65-60=5', '28+57=85']
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,80 unequal: No Solution
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[28, 57, 65, 60], Operations: []
Exploring Operation: 65-60=5, Resulting Numbers: [28, 57, 5]
Generated Node #0,0: 80:[28, 57, 5] Operation: 65-60=5
Moving to Node #0,0
Current State: 80:[28, 57, 5], Operations: ['65-60=5']
Exploring Operation: 28+57=85, Resulting Numbers: [5, 85]
Generated Node #0,0,0: 80:[5, 85] Operation: 28+57=85
Moving to Node #0,0,0
Current State: 80:[5, 85], Operations: ['65-60=5', '28+57=85']
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
68,
65,
21,
71
] | 41 | [
"68+65=133",
"21+71=92",
"133-92=41"
] | Current State: 41:[68, 65, 21, 71], Operations: []
Exploring Operation: 68+65=133, Resulting Numbers: [21, 71, 133]
Generated Node #2: [21, 71, 133] from Operation: 68+65=133
Current State: 41:[21, 71, 133], Operations: ['68+65=133']
Exploring Operation: 21+71=92, Resulting Numbers: [133, 92]
Generated Node #3: [133, 92] from Operation: 21+71=92
Current State: 41:[133, 92], Operations: ['68+65=133', '21+71=92']
Exploring Operation: 133-92=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[68, 65, 21, 71], Operations: []
Exploring Operation: 68-21=47, Resulting Numbers: [65, 71, 47]
Generated Node #0,0: 41:[65, 71, 47] Operation: 68-21=47
Exploring Operation: 71-21=50, Resulting Numbers: [68, 65, 50]
Generated Node #0,1: 41:[68, 65, 50] Operation: 71-21=50
Exploring Operation: 65-21=44, Resulting Numbers: [68, 71, 44]
Generated Node #0,2: 41:[68, 71, 44] Operation: 65-21=44
Moving to Node #0,0
Current State: 41:[65, 71, 47], Operations: ['68-21=47']
Exploring Operation: 65-47=18, Resulting Numbers: [71, 18]
Generated Node #0,0,0: 41:[71, 18] Operation: 65-47=18
Exploring Operation: 71-65=6, Resulting Numbers: [47, 6]
Generated Node #0,0,1: 41:[47, 6] Operation: 71-65=6
Exploring Operation: 71-47=24, Resulting Numbers: [65, 24]
Generated Node #0,0,2: 41:[65, 24] Operation: 71-47=24
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 41:[47, 6], Operations: ['68-21=47', '71-65=6']
Exploring Operation: 47+6=53, Resulting Numbers: [53]
53,41 unequal: No Solution
Exploring Operation: 47*6=282, Resulting Numbers: [282]
282,41 unequal: No Solution
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[68, 65, 21, 71], Operations: []
Exploring Operation: 68-21=47, Resulting Numbers: [65, 71, 47]
Generated Node #0,0: 41:[65, 71, 47] Operation: 68-21=47
Moving to Node #0,0
Current State: 41:[65, 71, 47], Operations: ['68-21=47']
Exploring Operation: 71-65=6, Resulting Numbers: [47, 6]
Generated Node #0,0,1: 41:[47, 6] Operation: 71-65=6
Moving to Node #0,0,1
Current State: 41:[47, 6], Operations: ['68-21=47', '71-65=6']
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
16,
9,
1,
10
] | 70 | [
"16-9=7",
"1*10=10",
"7*10=70"
] | Current State: 70:[16, 9, 1, 10], Operations: []
Exploring Operation: 16-9=7, Resulting Numbers: [1, 10, 7]
Generated Node #2: [1, 10, 7] from Operation: 16-9=7
Current State: 70:[1, 10, 7], Operations: ['16-9=7']
Exploring Operation: 1*10=10, Resulting Numbers: [7, 10]
Generated Node #3: [7, 10] from Operation: 1*10=10
Current State: 70:[7, 10], Operations: ['16-9=7', '1*10=10']
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[16, 9, 1, 10], Operations: []
Exploring Operation: 16-1=15, Resulting Numbers: [9, 10, 15]
Generated Node #0,0: 70:[9, 10, 15] Operation: 16-1=15
Exploring Operation: 16*1=16, Resulting Numbers: [9, 10, 16]
Generated Node #0,1: 70:[9, 10, 16] Operation: 16*1=16
Exploring Operation: 16-9=7, Resulting Numbers: [1, 10, 7]
Generated Node #0,2: 70:[1, 10, 7] Operation: 16-9=7
Exploring Operation: 9+1=10, Resulting Numbers: [16, 10, 10]
Generated Node #0,3: 70:[16, 10, 10] Operation: 9+1=10
Exploring Operation: 16/1=16, Resulting Numbers: [9, 10, 16]
Generated Node #0,4: 70:[9, 10, 16] Operation: 16/1=16
Moving to Node #0,2
Current State: 70:[1, 10, 7], Operations: ['16-9=7']
Exploring Operation: 10/1=10, Resulting Numbers: [7, 10]
Generated Node #0,2,0: 70:[7, 10] Operation: 10/1=10
Exploring Operation: 1*10=10, Resulting Numbers: [7, 10]
Generated Node #0,2,1: 70:[7, 10] Operation: 1*10=10
Exploring Operation: 1*7=7, Resulting Numbers: [10, 7]
Generated Node #0,2,2: 70:[10, 7] Operation: 1*7=7
Exploring Operation: 7/1=7, Resulting Numbers: [10, 7]
Generated Node #0,2,3: 70:[10, 7] Operation: 7/1=7
Exploring Operation: 1+10=11, Resulting Numbers: [7, 11]
Generated Node #0,2,4: 70:[7, 11] Operation: 1+10=11
Moving to Node #0,3
Current State: 70:[16, 10, 10], Operations: ['9+1=10']
Exploring Operation: 16-10=6, Resulting Numbers: [10, 6]
Generated Node #0,3,0: 70:[10, 6] Operation: 16-10=6
Exploring Operation: 10-10=0, Resulting Numbers: [16, 0]
Generated Node #0,3,1: 70:[16, 0] Operation: 10-10=0
Exploring Operation: 16-10=6, Resulting Numbers: [10, 6]
Generated Node #0,3,2: 70:[10, 6] Operation: 16-10=6
Exploring Operation: 10/10=1, Resulting Numbers: [16, 1]
Generated Node #0,3,3: 70:[16, 1] Operation: 10/10=1
Exploring Operation: 10+10=20, Resulting Numbers: [16, 20]
Generated Node #0,3,4: 70:[16, 20] Operation: 10+10=20
Moving to Node #0,0
Current State: 70:[9, 10, 15], Operations: ['16-1=15']
Exploring Operation: 9+15=24, Resulting Numbers: [10, 24]
Generated Node #0,0,0: 70:[10, 24] Operation: 9+15=24
Exploring Operation: 9+10=19, Resulting Numbers: [15, 19]
Generated Node #0,0,1: 70:[15, 19] Operation: 9+10=19
Exploring Operation: 15-9=6, Resulting Numbers: [10, 6]
Generated Node #0,0,2: 70:[10, 6] Operation: 15-9=6
Exploring Operation: 10-9=1, Resulting Numbers: [15, 1]
Generated Node #0,0,3: 70:[15, 1] Operation: 10-9=1
Exploring Operation: 15-10=5, Resulting Numbers: [9, 5]
Generated Node #0,0,4: 70:[9, 5] Operation: 15-10=5
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 70:[10, 6], Operations: ['16-1=15', '15-9=6']
Exploring Operation: 10+6=16, Resulting Numbers: [16]
16,70 unequal: No Solution
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,70 unequal: No Solution
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 70:[9, 5], Operations: ['16-1=15', '15-10=5']
Exploring Operation: 9+5=14, Resulting Numbers: [14]
14,70 unequal: No Solution
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,70 unequal: No Solution
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 70:[15, 1], Operations: ['16-1=15', '10-9=1']
Exploring Operation: 15+1=16, Resulting Numbers: [16]
16,70 unequal: No Solution
Exploring Operation: 15/1=15, Resulting Numbers: [15]
15,70 unequal: No Solution
Exploring Operation: 15*1=15, Resulting Numbers: [15]
15,70 unequal: No Solution
Exploring Operation: 15-1=14, Resulting Numbers: [14]
14,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 70:[15, 19], Operations: ['16-1=15', '9+10=19']
Exploring Operation: 15+19=34, Resulting Numbers: [34]
34,70 unequal: No Solution
Exploring Operation: 15*19=285, Resulting Numbers: [285]
285,70 unequal: No Solution
Exploring Operation: 19-15=4, Resulting Numbers: [4]
4,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[10, 24], Operations: ['16-1=15', '9+15=24']
Exploring Operation: 10+24=34, Resulting Numbers: [34]
34,70 unequal: No Solution
Exploring Operation: 10*24=240, Resulting Numbers: [240]
240,70 unequal: No Solution
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,70 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: 70:[9, 10, 16], Operations: ['16*1=16']
Exploring Operation: 9+16=25, Resulting Numbers: [10, 25]
Generated Node #0,1,0: 70:[10, 25] Operation: 9+16=25
Exploring Operation: 9+10=19, Resulting Numbers: [16, 19]
Generated Node #0,1,1: 70:[16, 19] Operation: 9+10=19
Exploring Operation: 16-9=7, Resulting Numbers: [10, 7]
Generated Node #0,1,2: 70:[10, 7] Operation: 16-9=7
Exploring Operation: 10-9=1, Resulting Numbers: [16, 1]
Generated Node #0,1,3: 70:[16, 1] Operation: 10-9=1
Exploring Operation: 16-10=6, Resulting Numbers: [9, 6]
Generated Node #0,1,4: 70:[9, 6] Operation: 16-10=6
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 70:[10, 7], Operations: ['16*1=16', '16-9=7']
Exploring Operation: 10+7=17, Resulting Numbers: [17]
17,70 unequal: No Solution
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[16, 9, 1, 10], Operations: []
Exploring Operation: 16*1=16, Resulting Numbers: [9, 10, 16]
Generated Node #0,1: 70:[9, 10, 16] Operation: 16*1=16
Moving to Node #0,1
Current State: 70:[9, 10, 16], Operations: ['16*1=16']
Exploring Operation: 16-9=7, Resulting Numbers: [10, 7]
Generated Node #0,1,2: 70:[10, 7] Operation: 16-9=7
Moving to Node #0,1,2
Current State: 70:[10, 7], Operations: ['16*1=16', '16-9=7']
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.959201 | hs_5 | sum_heuristic |
[
60,
28,
25,
20
] | 56 | [
"60/20=3",
"28+25=53",
"3+53=56"
] | Current State: 56:[60, 28, 25, 20], Operations: []
Exploring Operation: 60/20=3, Resulting Numbers: [28, 25, 3]
Generated Node #2: [28, 25, 3] from Operation: 60/20=3
Current State: 56:[28, 25, 3], Operations: ['60/20=3']
Exploring Operation: 28+25=53, Resulting Numbers: [3, 53]
Generated Node #3: [3, 53] from Operation: 28+25=53
Current State: 56:[3, 53], Operations: ['60/20=3', '28+25=53']
Exploring Operation: 3+53=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[60, 28, 25, 20], Operations: []
Exploring Operation: 25-20=5, Resulting Numbers: [60, 28, 5]
Generated Node #0,0: 56:[60, 28, 5] Operation: 25-20=5
Exploring Operation: 60/20=3, Resulting Numbers: [28, 25, 3]
Generated Node #0,1: 56:[28, 25, 3] Operation: 60/20=3
Exploring Operation: 28-20=8, Resulting Numbers: [60, 25, 8]
Generated Node #0,2: 56:[60, 25, 8] Operation: 28-20=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 56:[28, 25, 3], Operations: ['60/20=3']
Exploring Operation: 28+25=53, Resulting Numbers: [3, 53]
Generated Node #0,1,0: 56:[3, 53] Operation: 28+25=53
Exploring Operation: 25+3=28, Resulting Numbers: [28, 28]
Generated Node #0,1,1: 56:[28, 28] Operation: 25+3=28
Exploring Operation: 28-25=3, Resulting Numbers: [3, 3]
Generated Node #0,1,2: 56:[3, 3] Operation: 28-25=3
Moving to Node #0,1,1
Current State: 56:[28, 28], Operations: ['60/20=3', '25+3=28']
Exploring Operation: 28-28=0, Resulting Numbers: [0]
0,56 unequal: No Solution
Exploring Operation: 28/28=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 28+28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[60, 28, 25, 20], Operations: []
Exploring Operation: 60/20=3, Resulting Numbers: [28, 25, 3]
Generated Node #0,1: 56:[28, 25, 3] Operation: 60/20=3
Moving to Node #0,1
Current State: 56:[28, 25, 3], Operations: ['60/20=3']
Exploring Operation: 25+3=28, Resulting Numbers: [28, 28]
Generated Node #0,1,1: 56:[28, 28] Operation: 25+3=28
Moving to Node #0,1,1
Current State: 56:[28, 28], Operations: ['60/20=3', '25+3=28']
Exploring Operation: 28+28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
42,
2,
96,
89
] | 40 | [
"42+96=138",
"2*89=178",
"178-138=40"
] | Current State: 40:[42, 2, 96, 89], Operations: []
Exploring Operation: 42+96=138, Resulting Numbers: [2, 89, 138]
Generated Node #2: [2, 89, 138] from Operation: 42+96=138
Current State: 40:[2, 89, 138], Operations: ['42+96=138']
Exploring Operation: 2*89=178, Resulting Numbers: [138, 178]
Generated Node #3: [138, 178] from Operation: 2*89=178
Current State: 40:[138, 178], Operations: ['42+96=138', '2*89=178']
Exploring Operation: 178-138=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[42, 2, 96, 89], Operations: []
Exploring Operation: 96/2=48, Resulting Numbers: [42, 89, 48]
Generated Node #0,0: 40:[42, 89, 48] Operation: 96/2=48
Exploring Operation: 96-89=7, Resulting Numbers: [42, 2, 7]
Generated Node #0,1: 40:[42, 2, 7] Operation: 96-89=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[42, 2, 7], Operations: ['96-89=7']
Exploring Operation: 42-2=40, Resulting Numbers: [7, 40]
Generated Node #0,1,0: 40:[7, 40] Operation: 42-2=40
Exploring Operation: 42/7=6, Resulting Numbers: [2, 6]
Generated Node #0,1,1: 40:[2, 6] Operation: 42/7=6
Moving to Node #0,1,0
Current State: 40:[7, 40], Operations: ['96-89=7', '42-2=40']
Exploring Operation: 40-7=33, Resulting Numbers: [33]
33,40 unequal: No Solution
Exploring Operation: 7+40=47, Resulting Numbers: [47]
47,40 unequal: No Solution
Moving to Node #0,1,1
Current State: 40:[2, 6], Operations: ['96-89=7', '42/7=6']
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,40 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[42, 89, 48], Operations: ['96/2=48']
Exploring Operation: 89-48=41, Resulting Numbers: [42, 41]
Generated Node #0,0,0: 40:[42, 41] Operation: 89-48=41
Exploring Operation: 89-42=47, Resulting Numbers: [48, 47]
Generated Node #0,0,1: 40:[48, 47] Operation: 89-42=47
Moving to Node #0,0,0
Current State: 40:[42, 41], Operations: ['96/2=48', '89-48=41']
Exploring Operation: 42+41=83, Resulting Numbers: [83]
83,40 unequal: No Solution
Exploring Operation: 42-41=1, Resulting Numbers: [1]
1,40 unequal: No Solution
Moving to Node #0,0,1
Current State: 40:[48, 47], Operations: ['96/2=48', '89-42=47']
Exploring Operation: 48+47=95, Resulting Numbers: [95]
95,40 unequal: No Solution
Exploring Operation: 48-47=1, Resulting Numbers: [1]
1,40 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 |
[
31,
95,
10,
40
] | 95 | [
"31+10=41",
"41-40=1",
"95*1=95"
] | Current State: 95:[31, 95, 10, 40], Operations: []
Exploring Operation: 31+10=41, Resulting Numbers: [95, 40, 41]
Generated Node #2: [95, 40, 41] from Operation: 31+10=41
Current State: 95:[95, 40, 41], Operations: ['31+10=41']
Exploring Operation: 41-40=1, Resulting Numbers: [95, 1]
Generated Node #3: [95, 1] from Operation: 41-40=1
Current State: 95:[95, 1], Operations: ['31+10=41', '41-40=1']
Exploring Operation: 95*1=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[31, 95, 10, 40], Operations: []
Exploring Operation: 31+40=71, Resulting Numbers: [95, 10, 71]
Generated Node #0,0: 95:[95, 10, 71] Operation: 31+40=71
Exploring Operation: 40/10=4, Resulting Numbers: [31, 95, 4]
Generated Node #0,1: 95:[31, 95, 4] Operation: 40/10=4
Exploring Operation: 40-31=9, Resulting Numbers: [95, 10, 9]
Generated Node #0,2: 95:[95, 10, 9] Operation: 40-31=9
Exploring Operation: 40-10=30, Resulting Numbers: [31, 95, 30]
Generated Node #0,3: 95:[31, 95, 30] Operation: 40-10=30
Exploring Operation: 31-10=21, Resulting Numbers: [95, 40, 21]
Generated Node #0,4: 95:[95, 40, 21] Operation: 31-10=21
Start Sub Search at level 1: Moving to Node #0,2
Current State: 95:[95, 10, 9], Operations: ['40-31=9']
Exploring Operation: 10+9=19, Resulting Numbers: [95, 19]
Generated Node #0,2,0: 95:[95, 19] Operation: 10+9=19
Exploring Operation: 10*9=90, Resulting Numbers: [95, 90]
Generated Node #0,2,1: 95:[95, 90] Operation: 10*9=90
Exploring Operation: 95+10=105, Resulting Numbers: [9, 105]
Generated Node #0,2,2: 95:[9, 105] Operation: 95+10=105
Exploring Operation: 10-9=1, Resulting Numbers: [95, 1]
Generated Node #0,2,3: 95:[95, 1] Operation: 10-9=1
Exploring Operation: 95-10=85, Resulting Numbers: [9, 85]
Generated Node #0,2,4: 95:[9, 85] Operation: 95-10=85
Moving to Node #0,2,0
Current State: 95:[95, 19], Operations: ['40-31=9', '10+9=19']
Exploring Operation: 95/19=5, Resulting Numbers: [5]
5,95 unequal: No Solution
Exploring Operation: 95-19=76, Resulting Numbers: [76]
76,95 unequal: No Solution
Exploring Operation: 95*19=1805, Resulting Numbers: [1805]
1805,95 unequal: No Solution
Exploring Operation: 95+19=114, Resulting Numbers: [114]
114,95 unequal: No Solution
Moving to Node #0,2,3
Current State: 95:[95, 1], Operations: ['40-31=9', '10-9=1']
Exploring Operation: 95*1=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[31, 95, 10, 40], Operations: []
Exploring Operation: 40-31=9, Resulting Numbers: [95, 10, 9]
Generated Node #0,2: 95:[95, 10, 9] Operation: 40-31=9
Moving to Node #0,2
Current State: 95:[95, 10, 9], Operations: ['40-31=9']
Exploring Operation: 10-9=1, Resulting Numbers: [95, 1]
Generated Node #0,2,3: 95:[95, 1] Operation: 10-9=1
Moving to Node #0,2,3
Current State: 95:[95, 1], Operations: ['40-31=9', '10-9=1']
Exploring Operation: 95*1=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_5 | sum_heuristic |
[
48,
15,
53,
91
] | 96 | [
"15+91=106",
"48*106=5088",
"5088/53=96"
] | Current State: 96:[48, 15, 53, 91], Operations: []
Exploring Operation: 15+91=106, Resulting Numbers: [48, 53, 106]
Generated Node #2: [48, 53, 106] from Operation: 15+91=106
Current State: 96:[48, 53, 106], Operations: ['15+91=106']
Exploring Operation: 48*106=5088, Resulting Numbers: [53, 5088]
Generated Node #3: [53, 5088] from Operation: 48*106=5088
Current State: 96:[53, 5088], Operations: ['15+91=106', '48*106=5088']
Exploring Operation: 5088/53=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[48, 15, 53, 91], Operations: []
Exploring Operation: 53-48=5, Resulting Numbers: [15, 91, 5]
Generated Node #0,0: 96:[15, 91, 5] Operation: 53-48=5
Exploring Operation: 91-53=38, Resulting Numbers: [48, 15, 38]
Generated Node #0,1: 96:[48, 15, 38] Operation: 91-53=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[15, 91, 5], Operations: ['53-48=5']
Exploring Operation: 15/5=3, Resulting Numbers: [91, 3]
Generated Node #0,0,0: 96:[91, 3] Operation: 15/5=3
Exploring Operation: 91+5=96, Resulting Numbers: [15, 96]
Generated Node #0,0,1: 96:[15, 96] Operation: 91+5=96
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 96:[15, 96], Operations: ['53-48=5', '91+5=96']
Exploring Operation: 15+96=111, Resulting Numbers: [111]
111,96 unequal: No Solution
Exploring Operation: 96-15=81, Resulting Numbers: [81]
81,96 unequal: No Solution
No 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: 96:[91, 3], Operations: ['53-48=5', '15/5=3']
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,96 unequal: No Solution
Exploring Operation: 91+3=94, Resulting Numbers: [94]
94,96 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: 96:[48, 15, 38], Operations: ['91-53=38']
Exploring Operation: 38-15=23, Resulting Numbers: [48, 23]
Generated Node #0,1,0: 96:[48, 23] Operation: 38-15=23
Exploring Operation: 48-38=10, Resulting Numbers: [15, 10]
Generated Node #0,1,1: 96:[15, 10] Operation: 48-38=10
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 96:[48, 23], Operations: ['91-53=38', '38-15=23']
Exploring Operation: 48-23=25, Resulting Numbers: [25]
25,96 unequal: No Solution
Exploring Operation: 48+23=71, Resulting Numbers: [71]
71,96 unequal: No Solution
No 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: 96:[15, 10], Operations: ['91-53=38', '48-38=10']
Exploring Operation: 15+10=25, Resulting Numbers: [25]
25,96 unequal: No Solution
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
19,
46,
9,
45
] | 49 | [
"19*45=855",
"855/9=95",
"95-46=49"
] | Current State: 49:[19, 46, 9, 45], Operations: []
Exploring Operation: 19*45=855, Resulting Numbers: [46, 9, 855]
Generated Node #2: [46, 9, 855] from Operation: 19*45=855
Current State: 49:[46, 9, 855], Operations: ['19*45=855']
Exploring Operation: 855/9=95, Resulting Numbers: [46, 95]
Generated Node #3: [46, 95] from Operation: 855/9=95
Current State: 49:[46, 95], Operations: ['19*45=855', '855/9=95']
Exploring Operation: 95-46=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[19, 46, 9, 45], Operations: []
Exploring Operation: 19-9=10, Resulting Numbers: [46, 45, 10]
Generated Node #0,0: 49:[46, 45, 10] Operation: 19-9=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[46, 45, 10], Operations: ['19-9=10']
Exploring Operation: 46-45=1, Resulting Numbers: [10, 1]
Generated Node #0,0,0: 49:[10, 1] Operation: 46-45=1
Moving to Node #0,0,0
Current State: 49:[10, 1], Operations: ['19-9=10', '46-45=1']
Exploring Operation: 10-1=9, Resulting Numbers: [9]
9,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
49,
34,
74,
95
] | 86 | [
"49+34=83",
"74+95=169",
"169-83=86"
] | Current State: 86:[49, 34, 74, 95], Operations: []
Exploring Operation: 49+34=83, Resulting Numbers: [74, 95, 83]
Generated Node #2: [74, 95, 83] from Operation: 49+34=83
Current State: 86:[74, 95, 83], Operations: ['49+34=83']
Exploring Operation: 74+95=169, Resulting Numbers: [83, 169]
Generated Node #3: [83, 169] from Operation: 74+95=169
Current State: 86:[83, 169], Operations: ['49+34=83', '74+95=169']
Exploring Operation: 169-83=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[49, 34, 74, 95], Operations: []
Exploring Operation: 95-49=46, Resulting Numbers: [34, 74, 46]
Generated Node #0,0: 86:[34, 74, 46] Operation: 95-49=46
Exploring Operation: 49+34=83, Resulting Numbers: [74, 95, 83]
Generated Node #0,1: 86:[74, 95, 83] Operation: 49+34=83
Exploring Operation: 74-34=40, Resulting Numbers: [49, 95, 40]
Generated Node #0,2: 86:[49, 95, 40] Operation: 74-34=40
Exploring Operation: 49-34=15, Resulting Numbers: [74, 95, 15]
Generated Node #0,3: 86:[74, 95, 15] Operation: 49-34=15
Exploring Operation: 95-74=21, Resulting Numbers: [49, 34, 21]
Generated Node #0,4: 86:[49, 34, 21] Operation: 95-74=21
Start Sub Search at level 1: Moving to Node #0,2
Current State: 86:[49, 95, 40], Operations: ['74-34=40']
Exploring Operation: 95+40=135, Resulting Numbers: [49, 135]
Generated Node #0,2,0: 86:[49, 135] Operation: 95+40=135
Exploring Operation: 95-40=55, Resulting Numbers: [49, 55]
Generated Node #0,2,1: 86:[49, 55] Operation: 95-40=55
Exploring Operation: 49+40=89, Resulting Numbers: [95, 89]
Generated Node #0,2,2: 86:[95, 89] Operation: 49+40=89
Exploring Operation: 49-40=9, Resulting Numbers: [95, 9]
Generated Node #0,2,3: 86:[95, 9] Operation: 49-40=9
Exploring Operation: 95-49=46, Resulting Numbers: [40, 46]
Generated Node #0,2,4: 86:[40, 46] Operation: 95-49=46
Moving to Node #0,2,4
Current State: 86:[40, 46], Operations: ['74-34=40', '95-49=46']
Exploring Operation: 40*46=1840, Resulting Numbers: [1840]
1840,86 unequal: No Solution
Exploring Operation: 40+46=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[49, 34, 74, 95], Operations: []
Exploring Operation: 74-34=40, Resulting Numbers: [49, 95, 40]
Generated Node #0,2: 86:[49, 95, 40] Operation: 74-34=40
Moving to Node #0,2
Current State: 86:[49, 95, 40], Operations: ['74-34=40']
Exploring Operation: 95-49=46, Resulting Numbers: [40, 46]
Generated Node #0,2,4: 86:[40, 46] Operation: 95-49=46
Moving to Node #0,2,4
Current State: 86:[40, 46], Operations: ['74-34=40', '95-49=46']
Exploring Operation: 40+46=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
59,
65,
83,
64
] | 13 | [
"65-59=6",
"83-64=19",
"19-6=13"
] | Current State: 13:[59, 65, 83, 64], Operations: []
Exploring Operation: 65-59=6, Resulting Numbers: [83, 64, 6]
Generated Node #2: [83, 64, 6] from Operation: 65-59=6
Current State: 13:[83, 64, 6], Operations: ['65-59=6']
Exploring Operation: 83-64=19, Resulting Numbers: [6, 19]
Generated Node #3: [6, 19] from Operation: 83-64=19
Current State: 13:[6, 19], Operations: ['65-59=6', '83-64=19']
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[59, 65, 83, 64], Operations: []
Exploring Operation: 65-59=6, Resulting Numbers: [83, 64, 6]
Generated Node #0,0: 13:[83, 64, 6] Operation: 65-59=6
Exploring Operation: 83-65=18, Resulting Numbers: [59, 64, 18]
Generated Node #0,1: 13:[59, 64, 18] Operation: 83-65=18
Exploring Operation: 65-64=1, Resulting Numbers: [59, 83, 1]
Generated Node #0,2: 13:[59, 83, 1] Operation: 65-64=1
Exploring Operation: 83-64=19, Resulting Numbers: [59, 65, 19]
Generated Node #0,3: 13:[59, 65, 19] Operation: 83-64=19
Exploring Operation: 83-59=24, Resulting Numbers: [65, 64, 24]
Generated Node #0,4: 13:[65, 64, 24] Operation: 83-59=24
Start Sub Search at level 1: Moving to Node #0,1
Current State: 13:[59, 64, 18], Operations: ['83-65=18']
Exploring Operation: 59-18=41, Resulting Numbers: [64, 41]
Generated Node #0,1,0: 13:[64, 41] Operation: 59-18=41
Exploring Operation: 64-18=46, Resulting Numbers: [59, 46]
Generated Node #0,1,1: 13:[59, 46] Operation: 64-18=46
Exploring Operation: 59+64=123, Resulting Numbers: [18, 123]
Generated Node #0,1,2: 13:[18, 123] Operation: 59+64=123
Exploring Operation: 64-59=5, Resulting Numbers: [18, 5]
Generated Node #0,1,3: 13:[18, 5] Operation: 64-59=5
Exploring Operation: 59+18=77, Resulting Numbers: [64, 77]
Generated Node #0,1,4: 13:[64, 77] Operation: 59+18=77
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 13:[18, 5], Operations: ['83-65=18', '64-59=5']
Exploring Operation: 18+5=23, Resulting Numbers: [23]
23,13 unequal: No Solution
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,13 unequal: No Solution
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[59, 65, 83, 64], Operations: []
Exploring Operation: 83-65=18, Resulting Numbers: [59, 64, 18]
Generated Node #0,1: 13:[59, 64, 18] Operation: 83-65=18
Moving to Node #0,1
Current State: 13:[59, 64, 18], Operations: ['83-65=18']
Exploring Operation: 64-59=5, Resulting Numbers: [18, 5]
Generated Node #0,1,3: 13:[18, 5] Operation: 64-59=5
Moving to Node #0,1,3
Current State: 13:[18, 5], Operations: ['83-65=18', '64-59=5']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
1,
27,
58,
98
] | 66 | [
"27-1=26",
"98-58=40",
"26+40=66"
] | Current State: 66:[1, 27, 58, 98], Operations: []
Exploring Operation: 27-1=26, Resulting Numbers: [58, 98, 26]
Generated Node #2: [58, 98, 26] from Operation: 27-1=26
Current State: 66:[58, 98, 26], Operations: ['27-1=26']
Exploring Operation: 98-58=40, Resulting Numbers: [26, 40]
Generated Node #3: [26, 40] from Operation: 98-58=40
Current State: 66:[26, 40], Operations: ['27-1=26', '98-58=40']
Exploring Operation: 26+40=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[1, 27, 58, 98], Operations: []
Exploring Operation: 98-58=40, Resulting Numbers: [1, 27, 40]
Generated Node #0,0: 66:[1, 27, 40] Operation: 98-58=40
Moving to Node #0,0
Current State: 66:[1, 27, 40], Operations: ['98-58=40']
Exploring Operation: 27+40=67, Resulting Numbers: [1, 67]
Generated Node #0,0,0: 66:[1, 67] Operation: 27+40=67
Moving to Node #0,0,0
Current State: 66:[1, 67], Operations: ['98-58=40', '27+40=67']
Exploring Operation: 67-1=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[1, 27, 58, 98], Operations: []
Exploring Operation: 98-58=40, Resulting Numbers: [1, 27, 40]
Generated Node #0,0: 66:[1, 27, 40] Operation: 98-58=40
Moving to Node #0,0
Current State: 66:[1, 27, 40], Operations: ['98-58=40']
Exploring Operation: 27+40=67, Resulting Numbers: [1, 67]
Generated Node #0,0,0: 66:[1, 67] Operation: 27+40=67
Moving to Node #0,0,0
Current State: 66:[1, 67], Operations: ['98-58=40', '27+40=67']
Exploring Operation: 67-1=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
26,
84,
5,
8
] | 32 | [
"26-5=21",
"84*8=672",
"672/21=32"
] | Current State: 32:[26, 84, 5, 8], Operations: []
Exploring Operation: 26-5=21, Resulting Numbers: [84, 8, 21]
Generated Node #2: [84, 8, 21] from Operation: 26-5=21
Current State: 32:[84, 8, 21], Operations: ['26-5=21']
Exploring Operation: 84*8=672, Resulting Numbers: [21, 672]
Generated Node #3: [21, 672] from Operation: 84*8=672
Current State: 32:[21, 672], Operations: ['26-5=21', '84*8=672']
Exploring Operation: 672/21=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[26, 84, 5, 8], Operations: []
Exploring Operation: 84-26=58, Resulting Numbers: [5, 8, 58]
Generated Node #0,0: 32:[5, 8, 58] Operation: 84-26=58
Exploring Operation: 84-8=76, Resulting Numbers: [26, 5, 76]
Generated Node #0,1: 32:[26, 5, 76] Operation: 84-8=76
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[5, 8, 58], Operations: ['84-26=58']
Exploring Operation: 58-8=50, Resulting Numbers: [5, 50]
Generated Node #0,0,0: 32:[5, 50] Operation: 58-8=50
Exploring Operation: 58-5=53, Resulting Numbers: [8, 53]
Generated Node #0,0,1: 32:[8, 53] Operation: 58-5=53
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 32:[5, 50], Operations: ['84-26=58', '58-8=50']
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,32 unequal: No Solution
Exploring Operation: 50-5=45, Resulting Numbers: [45]
45,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 32:[8, 53], Operations: ['84-26=58', '58-5=53']
Exploring Operation: 8+53=61, Resulting Numbers: [61]
61,32 unequal: No Solution
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 32:[26, 5, 76], Operations: ['84-8=76']
Exploring Operation: 26+5=31, Resulting Numbers: [76, 31]
Generated Node #0,1,0: 32:[76, 31] Operation: 26+5=31
Exploring Operation: 76-26=50, Resulting Numbers: [5, 50]
Generated Node #0,1,1: 32:[5, 50] Operation: 76-26=50
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 32:[5, 50], Operations: ['84-8=76', '76-26=50']
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,32 unequal: No Solution
Exploring Operation: 50-5=45, Resulting Numbers: [45]
45,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 32:[76, 31], Operations: ['84-8=76', '26+5=31']
Exploring Operation: 76+31=107, Resulting Numbers: [107]
107,32 unequal: No Solution
Exploring Operation: 76-31=45, Resulting Numbers: [45]
45,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
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