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 |
|---|---|---|---|---|---|---|---|---|
[
18,
88,
94,
11
] | 97 | [
"94-88=6",
"18*6=108",
"108-11=97"
] | Current State: 97:[18, 88, 94, 11], Operations: []
Exploring Operation: 94-88=6, Resulting Numbers: [18, 11, 6]
Generated Node #2: [18, 11, 6] from Operation: 94-88=6
Current State: 97:[18, 11, 6], Operations: ['94-88=6']
Exploring Operation: 18*6=108, Resulting Numbers: [11, 108]
Generated Node #3: [11, 108] from Operation: 18*6=108
Current State: 97:[11, 108], Operations: ['94-88=6', '18*6=108']
Exploring Operation: 108-11=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[18, 88, 94, 11], Operations: []
Exploring Operation: 18+11=29, Resulting Numbers: [88, 94, 29]
Generated Node #0,0: 97:[88, 94, 29] Operation: 18+11=29
Moving to Node #0,0
Current State: 97:[88, 94, 29], Operations: ['18+11=29']
Exploring Operation: 88+29=117, Resulting Numbers: [94, 117]
Generated Node #0,0,0: 97:[94, 117] Operation: 88+29=117
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 97:[94, 117], Operations: ['18+11=29', '88+29=117']
Exploring Operation: 117-94=23, Resulting Numbers: [23]
23,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
13,
65,
16,
2
] | 65 | [
"16-13=3",
"3-2=1",
"65*1=65"
] | Current State: 65:[13, 65, 16, 2], Operations: []
Exploring Operation: 16-13=3, Resulting Numbers: [65, 2, 3]
Generated Node #2: [65, 2, 3] from Operation: 16-13=3
Current State: 65:[65, 2, 3], Operations: ['16-13=3']
Exploring Operation: 3-2=1, Resulting Numbers: [65, 1]
Generated Node #3: [65, 1] from Operation: 3-2=1
Current State: 65:[65, 1], Operations: ['16-13=3', '3-2=1']
Exploring Operation: 65*1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[13, 65, 16, 2], Operations: []
Exploring Operation: 16-2=14, Resulting Numbers: [13, 65, 14]
Generated Node #0,0: 65:[13, 65, 14] Operation: 16-2=14
Exploring Operation: 13-2=11, Resulting Numbers: [65, 16, 11]
Generated Node #0,1: 65:[65, 16, 11] Operation: 13-2=11
Exploring Operation: 16-13=3, Resulting Numbers: [65, 2, 3]
Generated Node #0,2: 65:[65, 2, 3] Operation: 16-13=3
Exploring Operation: 16/2=8, Resulting Numbers: [13, 65, 8]
Generated Node #0,3: 65:[13, 65, 8] Operation: 16/2=8
Exploring Operation: 13+2=15, Resulting Numbers: [65, 16, 15]
Generated Node #0,4: 65:[65, 16, 15] Operation: 13+2=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[13, 65, 14], Operations: ['16-2=14']
Exploring Operation: 13+65=78, Resulting Numbers: [14, 78]
Generated Node #0,0,0: 65:[14, 78] Operation: 13+65=78
Exploring Operation: 65/13=5, Resulting Numbers: [14, 5]
Generated Node #0,0,1: 65:[14, 5] Operation: 65/13=5
Exploring Operation: 14-13=1, Resulting Numbers: [65, 1]
Generated Node #0,0,2: 65:[65, 1] Operation: 14-13=1
Exploring Operation: 13+14=27, Resulting Numbers: [65, 27]
Generated Node #0,0,3: 65:[65, 27] Operation: 13+14=27
Exploring Operation: 65-13=52, Resulting Numbers: [14, 52]
Generated Node #0,0,4: 65:[14, 52] Operation: 65-13=52
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 65:[14, 5], Operations: ['16-2=14', '65/13=5']
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,65 unequal: No Solution
Exploring Operation: 14*5=70, Resulting Numbers: [70]
70,65 unequal: No Solution
Exploring Operation: 14+5=19, Resulting Numbers: [19]
19,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 65:[65, 1], Operations: ['16-2=14', '14-13=1']
Exploring Operation: 65/1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[13, 65, 16, 2], Operations: []
Exploring Operation: 16-2=14, Resulting Numbers: [13, 65, 14]
Generated Node #0,0: 65:[13, 65, 14] Operation: 16-2=14
Moving to Node #0,0
Current State: 65:[13, 65, 14], Operations: ['16-2=14']
Exploring Operation: 14-13=1, Resulting Numbers: [65, 1]
Generated Node #0,0,2: 65:[65, 1] Operation: 14-13=1
Moving to Node #0,0,2
Current State: 65:[65, 1], Operations: ['16-2=14', '14-13=1']
Exploring Operation: 65/1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_5 | mult_heuristic |
[
94,
94,
33,
28
] | 61 | [
"94-94=0",
"33+28=61",
"0+61=61"
] | Current State: 61:[94, 94, 33, 28], Operations: []
Exploring Operation: 94-94=0, Resulting Numbers: [33, 28, 0]
Generated Node #2: [33, 28, 0] from Operation: 94-94=0
Current State: 61:[33, 28, 0], Operations: ['94-94=0']
Exploring Operation: 33+28=61, Resulting Numbers: [0, 61]
Generated Node #3: [0, 61] from Operation: 33+28=61
Current State: 61:[0, 61], Operations: ['94-94=0', '33+28=61']
Exploring Operation: 0+61=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[94, 94, 33, 28], Operations: []
Exploring Operation: 94-33=61, Resulting Numbers: [94, 28, 61]
Generated Node #0,0: 61:[94, 28, 61] Operation: 94-33=61
Exploring Operation: 94-28=66, Resulting Numbers: [94, 33, 66]
Generated Node #0,1: 61:[94, 33, 66] Operation: 94-28=66
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[94, 28, 61], Operations: ['94-33=61']
Exploring Operation: 94+28=122, Resulting Numbers: [61, 122]
Generated Node #0,0,0: 61:[61, 122] Operation: 94+28=122
Exploring Operation: 94-28=66, Resulting Numbers: [61, 66]
Generated Node #0,0,1: 61:[61, 66] Operation: 94-28=66
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 61:[61, 66], Operations: ['94-33=61', '94-28=66']
Exploring Operation: 61+66=127, Resulting Numbers: [127]
127,61 unequal: No Solution
Exploring Operation: 66-61=5, Resulting Numbers: [5]
5,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 61:[61, 122], Operations: ['94-33=61', '94+28=122']
Exploring Operation: 122-61=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[94, 94, 33, 28], Operations: []
Exploring Operation: 94-33=61, Resulting Numbers: [94, 28, 61]
Generated Node #0,0: 61:[94, 28, 61] Operation: 94-33=61
Moving to Node #0,0
Current State: 61:[94, 28, 61], Operations: ['94-33=61']
Exploring Operation: 94+28=122, Resulting Numbers: [61, 122]
Generated Node #0,0,0: 61:[61, 122] Operation: 94+28=122
Moving to Node #0,0,0
Current State: 61:[61, 122], Operations: ['94-33=61', '94+28=122']
Exploring Operation: 122-61=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
53,
14,
82,
39
] | 54 | [
"53+14=67",
"82+39=121",
"121-67=54"
] | Current State: 54:[53, 14, 82, 39], Operations: []
Exploring Operation: 53+14=67, Resulting Numbers: [82, 39, 67]
Generated Node #2: [82, 39, 67] from Operation: 53+14=67
Current State: 54:[82, 39, 67], Operations: ['53+14=67']
Exploring Operation: 82+39=121, Resulting Numbers: [67, 121]
Generated Node #3: [67, 121] from Operation: 82+39=121
Current State: 54:[67, 121], Operations: ['53+14=67', '82+39=121']
Exploring Operation: 121-67=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[53, 14, 82, 39], Operations: []
Exploring Operation: 14+39=53, Resulting Numbers: [53, 82, 53]
Generated Node #0,0: 54:[53, 82, 53] Operation: 14+39=53
Exploring Operation: 82-14=68, Resulting Numbers: [53, 39, 68]
Generated Node #0,1: 54:[53, 39, 68] Operation: 82-14=68
Exploring Operation: 39-14=25, Resulting Numbers: [53, 82, 25]
Generated Node #0,2: 54:[53, 82, 25] Operation: 39-14=25
Exploring Operation: 82-53=29, Resulting Numbers: [14, 39, 29]
Generated Node #0,3: 54:[14, 39, 29] Operation: 82-53=29
Exploring Operation: 82-39=43, Resulting Numbers: [53, 14, 43]
Generated Node #0,4: 54:[53, 14, 43] Operation: 82-39=43
Start Sub Search at level 1: Moving to Node #0,4
Current State: 54:[53, 14, 43], Operations: ['82-39=43']
Exploring Operation: 14+43=57, Resulting Numbers: [53, 57]
Generated Node #0,4,0: 54:[53, 57] Operation: 14+43=57
Exploring Operation: 53-14=39, Resulting Numbers: [43, 39]
Generated Node #0,4,1: 54:[43, 39] Operation: 53-14=39
Exploring Operation: 43-14=29, Resulting Numbers: [53, 29]
Generated Node #0,4,2: 54:[53, 29] Operation: 43-14=29
Exploring Operation: 53-43=10, Resulting Numbers: [14, 10]
Generated Node #0,4,3: 54:[14, 10] Operation: 53-43=10
Exploring Operation: 53+14=67, Resulting Numbers: [43, 67]
Generated Node #0,4,4: 54:[43, 67] Operation: 53+14=67
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 54:[53, 29], Operations: ['82-39=43', '43-14=29']
Exploring Operation: 53-29=24, Resulting Numbers: [24]
24,54 unequal: No Solution
Exploring Operation: 53*29=1537, Resulting Numbers: [1537]
1537,54 unequal: No Solution
Exploring Operation: 53+29=82, Resulting Numbers: [82]
82,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 54:[53, 57], Operations: ['82-39=43', '14+43=57']
Exploring Operation: 53+57=110, Resulting Numbers: [110]
110,54 unequal: No Solution
Exploring Operation: 57-53=4, Resulting Numbers: [4]
4,54 unequal: No Solution
Exploring Operation: 53*57=3021, Resulting Numbers: [3021]
3021,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 54:[14, 10], Operations: ['82-39=43', '53-43=10']
Exploring Operation: 14*10=140, Resulting Numbers: [140]
140,54 unequal: No Solution
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,54 unequal: No Solution
Exploring Operation: 14+10=24, Resulting Numbers: [24]
24,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 54:[43, 39], Operations: ['82-39=43', '53-14=39']
Exploring Operation: 43*39=1677, Resulting Numbers: [1677]
1677,54 unequal: No Solution
Exploring Operation: 43+39=82, Resulting Numbers: [82]
82,54 unequal: No Solution
Exploring Operation: 43-39=4, Resulting Numbers: [4]
4,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 54:[43, 67], Operations: ['82-39=43', '53+14=67']
Exploring Operation: 67-43=24, Resulting Numbers: [24]
24,54 unequal: No Solution
Exploring Operation: 43*67=2881, Resulting Numbers: [2881]
2881,54 unequal: No Solution
Exploring Operation: 43+67=110, Resulting Numbers: [110]
110,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 54:[14, 39, 29], Operations: ['82-53=29']
Exploring Operation: 29-14=15, Resulting Numbers: [39, 15]
Generated Node #0,3,0: 54:[39, 15] Operation: 29-14=15
Exploring Operation: 39-29=10, Resulting Numbers: [14, 10]
Generated Node #0,3,1: 54:[14, 10] Operation: 39-29=10
Exploring Operation: 39+29=68, Resulting Numbers: [14, 68]
Generated Node #0,3,2: 54:[14, 68] Operation: 39+29=68
Exploring Operation: 14+39=53, Resulting Numbers: [29, 53]
Generated Node #0,3,3: 54:[29, 53] Operation: 14+39=53
Exploring Operation: 39-14=25, Resulting Numbers: [29, 25]
Generated Node #0,3,4: 54:[29, 25] Operation: 39-14=25
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 54:[29, 53], Operations: ['82-53=29', '14+39=53']
Exploring Operation: 29*53=1537, Resulting Numbers: [1537]
1537,54 unequal: No Solution
Exploring Operation: 29+53=82, Resulting Numbers: [82]
82,54 unequal: No Solution
Exploring Operation: 53-29=24, Resulting Numbers: [24]
24,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 54:[29, 25], Operations: ['82-53=29', '39-14=25']
Exploring Operation: 29+25=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[53, 14, 82, 39], Operations: []
Exploring Operation: 82-53=29, Resulting Numbers: [14, 39, 29]
Generated Node #0,3: 54:[14, 39, 29] Operation: 82-53=29
Moving to Node #0,3
Current State: 54:[14, 39, 29], Operations: ['82-53=29']
Exploring Operation: 39-14=25, Resulting Numbers: [29, 25]
Generated Node #0,3,4: 54:[29, 25] Operation: 39-14=25
Moving to Node #0,3,4
Current State: 54:[29, 25], Operations: ['82-53=29', '39-14=25']
Exploring Operation: 29+25=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967014 | hs_5 | mult_heuristic |
[
77,
11,
30,
7
] | 44 | [
"77/11=7",
"30+7=37",
"7+37=44"
] | Current State: 44:[77, 11, 30, 7], Operations: []
Exploring Operation: 77/11=7, Resulting Numbers: [30, 7, 7]
Generated Node #2: [30, 7, 7] from Operation: 77/11=7
Current State: 44:[30, 7, 7], Operations: ['77/11=7']
Exploring Operation: 30+7=37, Resulting Numbers: [37]
37,44 equal: Goal Reached
Exploring Operation: 7+37=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[77, 11, 30, 7], Operations: []
Exploring Operation: 77/7=11, Resulting Numbers: [11, 30, 11]
Generated Node #0,0: 44:[11, 30, 11] Operation: 77/7=11
Exploring Operation: 77/11=7, Resulting Numbers: [30, 7, 7]
Generated Node #0,1: 44:[30, 7, 7] Operation: 77/11=7
Exploring Operation: 77-11=66, Resulting Numbers: [30, 7, 66]
Generated Node #0,2: 44:[30, 7, 66] Operation: 77-11=66
Exploring Operation: 77-30=47, Resulting Numbers: [11, 7, 47]
Generated Node #0,3: 44:[11, 7, 47] Operation: 77-30=47
Start Sub Search at level 1: Moving to Node #0,3
Current State: 44:[11, 7, 47], Operations: ['77-30=47']
Exploring Operation: 11-7=4, Resulting Numbers: [47, 4]
Generated Node #0,3,0: 44:[47, 4] Operation: 11-7=4
Exploring Operation: 7+47=54, Resulting Numbers: [11, 54]
Generated Node #0,3,1: 44:[11, 54] Operation: 7+47=54
Exploring Operation: 47-7=40, Resulting Numbers: [11, 40]
Generated Node #0,3,2: 44:[11, 40] Operation: 47-7=40
Exploring Operation: 11+7=18, Resulting Numbers: [47, 18]
Generated Node #0,3,3: 44:[47, 18] Operation: 11+7=18
Moving to Node #0,3,0
Current State: 44:[47, 4], Operations: ['77-30=47', '11-7=4']
Exploring Operation: 47*4=188, Resulting Numbers: [188]
188,44 unequal: No Solution
Exploring Operation: 47+4=51, Resulting Numbers: [51]
51,44 unequal: No Solution
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,44 unequal: No Solution
Moving to Node #0,3,2
Current State: 44:[11, 40], Operations: ['77-30=47', '47-7=40']
Exploring Operation: 11+40=51, Resulting Numbers: [51]
51,44 unequal: No Solution
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,44 unequal: No Solution
Exploring Operation: 11*40=440, Resulting Numbers: [440]
440,44 unequal: No Solution
Moving to Node #0,3,3
Current State: 44:[47, 18], Operations: ['77-30=47', '11+7=18']
Exploring Operation: 47+18=65, Resulting Numbers: [65]
65,44 unequal: No Solution
Exploring Operation: 47*18=846, Resulting Numbers: [846]
846,44 unequal: No Solution
Exploring Operation: 47-18=29, Resulting Numbers: [29]
29,44 unequal: No Solution
Moving to Node #0,3,1
Current State: 44:[11, 54], Operations: ['77-30=47', '7+47=54']
Exploring Operation: 11*54=594, Resulting Numbers: [594]
594,44 unequal: No Solution
Exploring Operation: 11+54=65, Resulting Numbers: [65]
65,44 unequal: No Solution
Exploring Operation: 54-11=43, Resulting Numbers: [43]
43,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[11, 30, 11], Operations: ['77/7=11']
Exploring Operation: 30-11=19, Resulting Numbers: [11, 19]
Generated Node #0,0,0: 44:[11, 19] Operation: 30-11=19
Exploring Operation: 11+30=41, Resulting Numbers: [11, 41]
Generated Node #0,0,1: 44:[11, 41] Operation: 11+30=41
Exploring Operation: 30-11=19, Resulting Numbers: [11, 19]
Generated Node #0,0,2: 44:[11, 19] Operation: 30-11=19
Exploring Operation: 30+11=41, Resulting Numbers: [11, 41]
Generated Node #0,0,3: 44:[11, 41] Operation: 30+11=41
Moving to Node #0,0,0
Current State: 44:[11, 19], Operations: ['77/7=11', '30-11=19']
Exploring Operation: 11*19=209, Resulting Numbers: [209]
209,44 unequal: No Solution
Exploring Operation: 11+19=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,44 unequal: No Solution
Moving to Node #0,0,2
Current State: 44:[11, 19], Operations: ['77/7=11', '30-11=19']
Exploring Operation: 11*19=209, Resulting Numbers: [209]
209,44 unequal: No Solution
Exploring Operation: 11+19=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,44 unequal: No Solution
Moving to Node #0,0,1
Current State: 44:[11, 41], Operations: ['77/7=11', '11+30=41']
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Exploring Operation: 11+41=52, Resulting Numbers: [52]
52,44 unequal: No Solution
Exploring Operation: 11*41=451, Resulting Numbers: [451]
451,44 unequal: No Solution
Moving to Node #0,0,3
Current State: 44:[11, 41], Operations: ['77/7=11', '30+11=41']
Exploring Operation: 11+41=52, Resulting Numbers: [52]
52,44 unequal: No Solution
Exploring Operation: 11*41=451, Resulting Numbers: [451]
451,44 unequal: No Solution
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 44:[30, 7, 7], Operations: ['77/11=7']
Exploring Operation: 30+7=37, Resulting Numbers: [7, 37]
Generated Node #0,1,0: 44:[7, 37] Operation: 30+7=37
Exploring Operation: 7/7=1, Resulting Numbers: [30, 1]
Generated Node #0,1,1: 44:[30, 1] Operation: 7/7=1
Exploring Operation: 30-7=23, Resulting Numbers: [7, 23]
Generated Node #0,1,2: 44:[7, 23] Operation: 30-7=23
Exploring Operation: 30-7=23, Resulting Numbers: [7, 23]
Generated Node #0,1,3: 44:[7, 23] Operation: 30-7=23
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 44:[7, 23], Operations: ['77/11=7', '30-7=23']
Exploring Operation: 7*23=161, Resulting Numbers: [161]
161,44 unequal: No Solution
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,44 unequal: No Solution
Exploring Operation: 7+23=30, Resulting Numbers: [30]
30,44 unequal: No Solution
No 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: 44:[7, 23], Operations: ['77/11=7', '30-7=23']
Exploring Operation: 7+23=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Exploring Operation: 7*23=161, Resulting Numbers: [161]
161,44 unequal: No Solution
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,44 unequal: No Solution
No 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: 44:[30, 1], Operations: ['77/11=7', '7/7=1']
Exploring Operation: 30+1=31, Resulting Numbers: [31]
31,44 unequal: No Solution
Exploring Operation: 30/1=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Exploring Operation: 30*1=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,44 unequal: No Solution
No 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: 44:[7, 37], Operations: ['77/11=7', '30+7=37']
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Exploring Operation: 7+37=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[77, 11, 30, 7], Operations: []
Exploring Operation: 77/11=7, Resulting Numbers: [30, 7, 7]
Generated Node #0,1: 44:[30, 7, 7] Operation: 77/11=7
Moving to Node #0,1
Current State: 44:[30, 7, 7], Operations: ['77/11=7']
Exploring Operation: 30+7=37, Resulting Numbers: [7, 37]
Generated Node #0,1,0: 44:[7, 37] Operation: 30+7=37
Moving to Node #0,1,0
Current State: 44:[7, 37], Operations: ['77/11=7', '30+7=37']
Exploring Operation: 7+37=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.951389 | hs_4 | sum_heuristic |
[
94,
65,
36,
60
] | 55 | [
"65*36=2340",
"2340/60=39",
"94-39=55"
] | Current State: 55:[94, 65, 36, 60], Operations: []
Exploring Operation: 65*36=2340, Resulting Numbers: [94, 60, 2340]
Generated Node #2: [94, 60, 2340] from Operation: 65*36=2340
Current State: 55:[94, 60, 2340], Operations: ['65*36=2340']
Exploring Operation: 2340/60=39, Resulting Numbers: [94, 39]
Generated Node #3: [94, 39] from Operation: 2340/60=39
Current State: 55:[94, 39], Operations: ['65*36=2340', '2340/60=39']
Exploring Operation: 94-39=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[94, 65, 36, 60], Operations: []
Exploring Operation: 94-36=58, Resulting Numbers: [65, 60, 58]
Generated Node #0,0: 55:[65, 60, 58] Operation: 94-36=58
Exploring Operation: 94-65=29, Resulting Numbers: [36, 60, 29]
Generated Node #0,1: 55:[36, 60, 29] Operation: 94-65=29
Moving to Node #0,0
Current State: 55:[65, 60, 58], Operations: ['94-36=58']
Exploring Operation: 65-58=7, Resulting Numbers: [60, 7]
Generated Node #0,0,0: 55:[60, 7] Operation: 65-58=7
Exploring Operation: 65-60=5, Resulting Numbers: [58, 5]
Generated Node #0,0,1: 55:[58, 5] Operation: 65-60=5
Moving to Node #0,1
Current State: 55:[36, 60, 29], Operations: ['94-65=29']
Exploring Operation: 36+29=65, Resulting Numbers: [60, 65]
Generated Node #0,1,0: 55:[60, 65] Operation: 36+29=65
Exploring Operation: 36-29=7, Resulting Numbers: [60, 7]
Generated Node #0,1,1: 55:[60, 7] Operation: 36-29=7
Moving to Node #0,0,1
Current State: 55:[58, 5], Operations: ['94-36=58', '65-60=5']
Exploring Operation: 58-5=53, Resulting Numbers: [53]
53,55 unequal: No Solution
Exploring Operation: 58+5=63, Resulting Numbers: [63]
63,55 unequal: No Solution
Moving to Node #0,1,1
Current State: 55:[60, 7], Operations: ['94-65=29', '36-29=7']
Exploring Operation: 60+7=67, Resulting Numbers: [67]
67,55 unequal: No Solution
Exploring Operation: 60-7=53, Resulting Numbers: [53]
53,55 unequal: No Solution
Moving to Node #0,0,0
Current State: 55:[60, 7], Operations: ['94-36=58', '65-58=7']
Exploring Operation: 60+7=67, Resulting Numbers: [67]
67,55 unequal: No Solution
Exploring Operation: 60-7=53, Resulting Numbers: [53]
53,55 unequal: No Solution
Moving to Node #0,1,0
Current State: 55:[60, 65], Operations: ['94-65=29', '36+29=65']
Exploring Operation: 65-60=5, Resulting Numbers: [5]
5,55 unequal: No Solution
Exploring Operation: 60+65=125, Resulting Numbers: [125]
125,55 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
12,
26,
27,
48
] | 36 | [
"48-12=36",
"27-26=1",
"36*1=36"
] | Current State: 36:[12, 26, 27, 48], Operations: []
Exploring Operation: 48-12=36, Resulting Numbers: [26, 27, 36]
Generated Node #2: [26, 27, 36] from Operation: 48-12=36
Current State: 36:[26, 27, 36], Operations: ['48-12=36']
Exploring Operation: 27-26=1, Resulting Numbers: [36, 1]
Generated Node #3: [36, 1] from Operation: 27-26=1
Current State: 36:[36, 1], Operations: ['48-12=36', '27-26=1']
Exploring Operation: 36*1=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[12, 26, 27, 48], Operations: []
Exploring Operation: 48-27=21, Resulting Numbers: [12, 26, 21]
Generated Node #0,0: 36:[12, 26, 21] Operation: 48-27=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[12, 26, 21], Operations: ['48-27=21']
Exploring Operation: 26-21=5, Resulting Numbers: [12, 5]
Generated Node #0,0,0: 36:[12, 5] Operation: 26-21=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 36:[12, 5], Operations: ['48-27=21', '26-21=5']
Exploring Operation: 12+5=17, Resulting Numbers: [17]
17,36 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 | sum_heuristic |
[
8,
48,
16,
16
] | 24 | [
"8+48=56",
"16+16=32",
"56-32=24"
] | Current State: 24:[8, 48, 16, 16], Operations: []
Exploring Operation: 8+48=56, Resulting Numbers: [16, 16, 56]
Generated Node #2: [16, 16, 56] from Operation: 8+48=56
Current State: 24:[16, 16, 56], Operations: ['8+48=56']
Exploring Operation: 16+16=32, Resulting Numbers: [56, 32]
Generated Node #3: [56, 32] from Operation: 16+16=32
Current State: 24:[56, 32], Operations: ['8+48=56', '16+16=32']
Exploring Operation: 56-32=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[8, 48, 16, 16], Operations: []
Exploring Operation: 48/8=6, Resulting Numbers: [16, 16, 6]
Generated Node #0,0: 24:[16, 16, 6] Operation: 48/8=6
Exploring Operation: 48/16=3, Resulting Numbers: [8, 16, 3]
Generated Node #0,1: 24:[8, 16, 3] Operation: 48/16=3
Exploring Operation: 48-16=32, Resulting Numbers: [8, 16, 32]
Generated Node #0,2: 24:[8, 16, 32] Operation: 48-16=32
Exploring Operation: 48/16=3, Resulting Numbers: [8, 16, 3]
Generated Node #0,3: 24:[8, 16, 3] Operation: 48/16=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 24:[8, 16, 3], Operations: ['48/16=3']
Exploring Operation: 16-8=8, Resulting Numbers: [3, 8]
Generated Node #0,1,0: 24:[3, 8] Operation: 16-8=8
Exploring Operation: 8+16=24, Resulting Numbers: [3, 24]
Generated Node #0,1,1: 24:[3, 24] Operation: 8+16=24
Exploring Operation: 16/8=2, Resulting Numbers: [3, 2]
Generated Node #0,1,2: 24:[3, 2] Operation: 16/8=2
Exploring Operation: 16-3=13, Resulting Numbers: [8, 13]
Generated Node #0,1,3: 24:[8, 13] Operation: 16-3=13
Moving to Node #0,1,0
Current State: 24:[3, 8], Operations: ['48/16=3', '16-8=8']
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,24 unequal: No Solution
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[8, 48, 16, 16], Operations: []
Exploring Operation: 48/16=3, Resulting Numbers: [8, 16, 3]
Generated Node #0,1: 24:[8, 16, 3] Operation: 48/16=3
Moving to Node #0,1
Current State: 24:[8, 16, 3], Operations: ['48/16=3']
Exploring Operation: 16-8=8, Resulting Numbers: [3, 8]
Generated Node #0,1,0: 24:[3, 8] Operation: 16-8=8
Moving to Node #0,1,0
Current State: 24:[3, 8], Operations: ['48/16=3', '16-8=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
95,
69,
24,
48
] | 28 | [
"95-69=26",
"48/24=2",
"26+2=28"
] | Current State: 28:[95, 69, 24, 48], Operations: []
Exploring Operation: 95-69=26, Resulting Numbers: [24, 48, 26]
Generated Node #2: [24, 48, 26] from Operation: 95-69=26
Current State: 28:[24, 48, 26], Operations: ['95-69=26']
Exploring Operation: 48/24=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 48/24=2
Current State: 28:[26, 2], Operations: ['95-69=26', '48/24=2']
Exploring Operation: 26+2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[95, 69, 24, 48], Operations: []
Exploring Operation: 69-48=21, Resulting Numbers: [95, 24, 21]
Generated Node #0,0: 28:[95, 24, 21] Operation: 69-48=21
Exploring Operation: 95-48=47, Resulting Numbers: [69, 24, 47]
Generated Node #0,1: 28:[69, 24, 47] Operation: 95-48=47
Exploring Operation: 95-69=26, Resulting Numbers: [24, 48, 26]
Generated Node #0,2: 28:[24, 48, 26] Operation: 95-69=26
Moving to Node #0,2
Current State: 28:[24, 48, 26], Operations: ['95-69=26']
Exploring Operation: 48/24=2, Resulting Numbers: [26, 2]
Generated Node #0,2,0: 28:[26, 2] Operation: 48/24=2
Exploring Operation: 48-26=22, Resulting Numbers: [24, 22]
Generated Node #0,2,1: 28:[24, 22] Operation: 48-26=22
Exploring Operation: 48-24=24, Resulting Numbers: [26, 24]
Generated Node #0,2,2: 28:[26, 24] Operation: 48-24=24
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 28:[26, 2], Operations: ['95-69=26', '48/24=2']
Exploring Operation: 26+2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[95, 69, 24, 48], Operations: []
Exploring Operation: 95-69=26, Resulting Numbers: [24, 48, 26]
Generated Node #0,2: 28:[24, 48, 26] Operation: 95-69=26
Moving to Node #0,2
Current State: 28:[24, 48, 26], Operations: ['95-69=26']
Exploring Operation: 48/24=2, Resulting Numbers: [26, 2]
Generated Node #0,2,0: 28:[26, 2] Operation: 48/24=2
Moving to Node #0,2,0
Current State: 28:[26, 2], Operations: ['95-69=26', '48/24=2']
Exploring Operation: 26+2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
25,
1,
38,
76
] | 26 | [
"25-1=24",
"76/38=2",
"24+2=26"
] | Current State: 26:[25, 1, 38, 76], Operations: []
Exploring Operation: 25-1=24, Resulting Numbers: [38, 76, 24]
Generated Node #2: [38, 76, 24] from Operation: 25-1=24
Current State: 26:[38, 76, 24], Operations: ['25-1=24']
Exploring Operation: 76/38=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 76/38=2
Current State: 26:[24, 2], Operations: ['25-1=24', '76/38=2']
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[25, 1, 38, 76], Operations: []
Exploring Operation: 76/38=2, Resulting Numbers: [25, 1, 2]
Generated Node #0,0: 26:[25, 1, 2] Operation: 76/38=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[25, 1, 2], Operations: ['76/38=2']
Exploring Operation: 25+1=26, Resulting Numbers: [2, 26]
Generated Node #0,0,0: 26:[2, 26] Operation: 25+1=26
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 26:[2, 26], Operations: ['76/38=2', '25+1=26']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
5,
76,
32,
82
] | 33 | [
"5+76=81",
"32+82=114",
"114-81=33"
] | Current State: 33:[5, 76, 32, 82], Operations: []
Exploring Operation: 5+76=81, Resulting Numbers: [32, 82, 81]
Generated Node #2: [32, 82, 81] from Operation: 5+76=81
Current State: 33:[32, 82, 81], Operations: ['5+76=81']
Exploring Operation: 32+82=114, Resulting Numbers: [81, 114]
Generated Node #3: [81, 114] from Operation: 32+82=114
Current State: 33:[81, 114], Operations: ['5+76=81', '32+82=114']
Exploring Operation: 114-81=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[5, 76, 32, 82], Operations: []
Exploring Operation: 82-76=6, Resulting Numbers: [5, 32, 6]
Generated Node #0,0: 33:[5, 32, 6] Operation: 82-76=6
Exploring Operation: 76-32=44, Resulting Numbers: [5, 82, 44]
Generated Node #0,1: 33:[5, 82, 44] Operation: 76-32=44
Exploring Operation: 82-32=50, Resulting Numbers: [5, 76, 50]
Generated Node #0,2: 33:[5, 76, 50] Operation: 82-32=50
Moving to Node #0,0
Current State: 33:[5, 32, 6], Operations: ['82-76=6']
Exploring Operation: 6-5=1, Resulting Numbers: [32, 1]
Generated Node #0,0,0: 33:[32, 1] Operation: 6-5=1
Exploring Operation: 5+6=11, Resulting Numbers: [32, 11]
Generated Node #0,0,1: 33:[32, 11] Operation: 5+6=11
Exploring Operation: 5*6=30, Resulting Numbers: [32, 30]
Generated Node #0,0,2: 33:[32, 30] Operation: 5*6=30
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 33:[32, 11], Operations: ['82-76=6', '5+6=11']
Exploring Operation: 32+11=43, Resulting Numbers: [43]
43,33 unequal: No Solution
Exploring Operation: 32*11=352, Resulting Numbers: [352]
352,33 unequal: No Solution
Exploring Operation: 32-11=21, Resulting Numbers: [21]
21,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 33:[32, 1], Operations: ['82-76=6', '6-5=1']
Exploring Operation: 32+1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[5, 76, 32, 82], Operations: []
Exploring Operation: 82-76=6, Resulting Numbers: [5, 32, 6]
Generated Node #0,0: 33:[5, 32, 6] Operation: 82-76=6
Moving to Node #0,0
Current State: 33:[5, 32, 6], Operations: ['82-76=6']
Exploring Operation: 6-5=1, Resulting Numbers: [32, 1]
Generated Node #0,0,0: 33:[32, 1] Operation: 6-5=1
Moving to Node #0,0,0
Current State: 33:[32, 1], Operations: ['82-76=6', '6-5=1']
Exploring Operation: 32+1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | sum_heuristic |
[
65,
42,
11,
66
] | 29 | [
"65-42=23",
"66/11=6",
"23+6=29"
] | Current State: 29:[65, 42, 11, 66], Operations: []
Exploring Operation: 65-42=23, Resulting Numbers: [11, 66, 23]
Generated Node #2: [11, 66, 23] from Operation: 65-42=23
Current State: 29:[11, 66, 23], Operations: ['65-42=23']
Exploring Operation: 66/11=6, Resulting Numbers: [23, 6]
Generated Node #3: [23, 6] from Operation: 66/11=6
Current State: 29:[23, 6], Operations: ['65-42=23', '66/11=6']
Exploring Operation: 23+6=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[65, 42, 11, 66], Operations: []
Exploring Operation: 66-65=1, Resulting Numbers: [42, 11, 1]
Generated Node #0,0: 29:[42, 11, 1] Operation: 66-65=1
Exploring Operation: 66/11=6, Resulting Numbers: [65, 42, 6]
Generated Node #0,1: 29:[65, 42, 6] Operation: 66/11=6
Exploring Operation: 66-42=24, Resulting Numbers: [65, 11, 24]
Generated Node #0,2: 29:[65, 11, 24] Operation: 66-42=24
Exploring Operation: 65-42=23, Resulting Numbers: [11, 66, 23]
Generated Node #0,3: 29:[11, 66, 23] Operation: 65-42=23
Moving to Node #0,0
Current State: 29:[42, 11, 1], Operations: ['66-65=1']
Exploring Operation: 42*1=42, Resulting Numbers: [11, 42]
Generated Node #0,0,0: 29:[11, 42] Operation: 42*1=42
Exploring Operation: 11+1=12, Resulting Numbers: [42, 12]
Generated Node #0,0,1: 29:[42, 12] Operation: 11+1=12
Exploring Operation: 42-11=31, Resulting Numbers: [1, 31]
Generated Node #0,0,2: 29:[1, 31] Operation: 42-11=31
Exploring Operation: 42-1=41, Resulting Numbers: [11, 41]
Generated Node #0,0,3: 29:[11, 41] Operation: 42-1=41
Moving to Node #0,2
Current State: 29:[65, 11, 24], Operations: ['66-42=24']
Exploring Operation: 65+11=76, Resulting Numbers: [24, 76]
Generated Node #0,2,0: 29:[24, 76] Operation: 65+11=76
Exploring Operation: 65-24=41, Resulting Numbers: [11, 41]
Generated Node #0,2,1: 29:[11, 41] Operation: 65-24=41
Exploring Operation: 65-11=54, Resulting Numbers: [24, 54]
Generated Node #0,2,2: 29:[24, 54] Operation: 65-11=54
Exploring Operation: 11+24=35, Resulting Numbers: [65, 35]
Generated Node #0,2,3: 29:[65, 35] Operation: 11+24=35
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 29:[11, 41], Operations: ['66-42=24', '65-24=41']
Exploring Operation: 11*41=451, Resulting Numbers: [451]
451,29 unequal: No Solution
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,29 unequal: No Solution
Exploring Operation: 11+41=52, Resulting Numbers: [52]
52,29 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 #0,2,2
Current State: 29:[24, 54], Operations: ['66-42=24', '65-11=54']
Exploring Operation: 24*54=1296, Resulting Numbers: [1296]
1296,29 unequal: No Solution
Exploring Operation: 54-24=30, Resulting Numbers: [30]
30,29 unequal: No Solution
Exploring Operation: 24+54=78, Resulting Numbers: [78]
78,29 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 #0,2,3
Current State: 29:[65, 35], Operations: ['66-42=24', '11+24=35']
Exploring Operation: 65+35=100, Resulting Numbers: [100]
100,29 unequal: No Solution
Exploring Operation: 65-35=30, Resulting Numbers: [30]
30,29 unequal: No Solution
Exploring Operation: 65*35=2275, Resulting Numbers: [2275]
2275,29 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 #0,2,0
Current State: 29:[24, 76], Operations: ['66-42=24', '65+11=76']
Exploring Operation: 76-24=52, Resulting Numbers: [52]
52,29 unequal: No Solution
Exploring Operation: 24+76=100, Resulting Numbers: [100]
100,29 unequal: No Solution
Exploring Operation: 24*76=1824, Resulting Numbers: [1824]
1824,29 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: 29:[11, 66, 23], Operations: ['65-42=23']
Exploring Operation: 66-23=43, Resulting Numbers: [11, 43]
Generated Node #0,3,0: 29:[11, 43] Operation: 66-23=43
Exploring Operation: 66/11=6, Resulting Numbers: [23, 6]
Generated Node #0,3,1: 29:[23, 6] Operation: 66/11=6
Exploring Operation: 66-11=55, Resulting Numbers: [23, 55]
Generated Node #0,3,2: 29:[23, 55] Operation: 66-11=55
Exploring Operation: 11+23=34, Resulting Numbers: [66, 34]
Generated Node #0,3,3: 29:[66, 34] Operation: 11+23=34
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 29:[23, 6], Operations: ['65-42=23', '66/11=6']
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,29 unequal: No Solution
Exploring Operation: 23+6=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[65, 42, 11, 66], Operations: []
Exploring Operation: 65-42=23, Resulting Numbers: [11, 66, 23]
Generated Node #0,3: 29:[11, 66, 23] Operation: 65-42=23
Moving to Node #0,3
Current State: 29:[11, 66, 23], Operations: ['65-42=23']
Exploring Operation: 66/11=6, Resulting Numbers: [23, 6]
Generated Node #0,3,1: 29:[23, 6] Operation: 66/11=6
Moving to Node #0,3,1
Current State: 29:[23, 6], Operations: ['65-42=23', '66/11=6']
Exploring Operation: 23+6=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.970486 | hs_4 | sum_heuristic |
[
67,
40,
24,
54
] | 22 | [
"67-40=27",
"54/27=2",
"24-2=22"
] | Current State: 22:[67, 40, 24, 54], Operations: []
Exploring Operation: 67-40=27, Resulting Numbers: [24, 54, 27]
Generated Node #2: [24, 54, 27] from Operation: 67-40=27
Current State: 22:[24, 54, 27], Operations: ['67-40=27']
Exploring Operation: 54/27=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 54/27=2
Current State: 22:[24, 2], Operations: ['67-40=27', '54/27=2']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[67, 40, 24, 54], Operations: []
Exploring Operation: 67-54=13, Resulting Numbers: [40, 24, 13]
Generated Node #0,0: 22:[40, 24, 13] Operation: 67-54=13
Exploring Operation: 67-40=27, Resulting Numbers: [24, 54, 27]
Generated Node #0,1: 22:[24, 54, 27] Operation: 67-40=27
Exploring Operation: 54-40=14, Resulting Numbers: [67, 24, 14]
Generated Node #0,2: 22:[67, 24, 14] Operation: 54-40=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[40, 24, 13], Operations: ['67-54=13']
Exploring Operation: 40-24=16, Resulting Numbers: [13, 16]
Generated Node #0,0,0: 22:[13, 16] Operation: 40-24=16
Exploring Operation: 40-13=27, Resulting Numbers: [24, 27]
Generated Node #0,0,1: 22:[24, 27] Operation: 40-13=27
Exploring Operation: 24-13=11, Resulting Numbers: [40, 11]
Generated Node #0,0,2: 22:[40, 11] Operation: 24-13=11
Moving to Node #0,0,0
Current State: 22:[13, 16], Operations: ['67-54=13', '40-24=16']
Exploring Operation: 13*16=208, Resulting Numbers: [208]
208,22 unequal: No Solution
Exploring Operation: 16-13=3, Resulting Numbers: [3]
3,22 unequal: No Solution
Exploring Operation: 13+16=29, Resulting Numbers: [29]
29,22 unequal: No Solution
Moving to Node #0,0,1
Current State: 22:[24, 27], Operations: ['67-54=13', '40-13=27']
Exploring Operation: 27-24=3, Resulting Numbers: [3]
3,22 unequal: No Solution
Exploring Operation: 24+27=51, Resulting Numbers: [51]
51,22 unequal: No Solution
Exploring Operation: 24*27=648, Resulting Numbers: [648]
648,22 unequal: No Solution
Moving to Node #0,0,2
Current State: 22:[40, 11], Operations: ['67-54=13', '24-13=11']
Exploring Operation: 40*11=440, Resulting Numbers: [440]
440,22 unequal: No Solution
Exploring Operation: 40+11=51, Resulting Numbers: [51]
51,22 unequal: No Solution
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,22 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 #0,1
Current State: 22:[24, 54, 27], Operations: ['67-40=27']
Exploring Operation: 54-24=30, Resulting Numbers: [27, 30]
Generated Node #0,1,0: 22:[27, 30] Operation: 54-24=30
Exploring Operation: 54-27=27, Resulting Numbers: [24, 27]
Generated Node #0,1,1: 22:[24, 27] Operation: 54-27=27
Exploring Operation: 54/27=2, Resulting Numbers: [24, 2]
Generated Node #0,1,2: 22:[24, 2] Operation: 54/27=2
Moving to Node #0,1,2
Current State: 22:[24, 2], Operations: ['67-40=27', '54/27=2']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,22 unequal: No Solution
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,22 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[67, 40, 24, 54], Operations: []
Exploring Operation: 67-40=27, Resulting Numbers: [24, 54, 27]
Generated Node #0,1: 22:[24, 54, 27] Operation: 67-40=27
Moving to Node #0,1
Current State: 22:[24, 54, 27], Operations: ['67-40=27']
Exploring Operation: 54/27=2, Resulting Numbers: [24, 2]
Generated Node #0,1,2: 22:[24, 2] Operation: 54/27=2
Moving to Node #0,1,2
Current State: 22:[24, 2], Operations: ['67-40=27', '54/27=2']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_3 | mult_heuristic |
[
86,
70,
40,
90
] | 66 | [
"86-70=16",
"90-40=50",
"16+50=66"
] | Current State: 66:[86, 70, 40, 90], Operations: []
Exploring Operation: 86-70=16, Resulting Numbers: [40, 90, 16]
Generated Node #2: [40, 90, 16] from Operation: 86-70=16
Current State: 66:[40, 90, 16], Operations: ['86-70=16']
Exploring Operation: 90-40=50, Resulting Numbers: [16, 50]
Generated Node #3: [16, 50] from Operation: 90-40=50
Current State: 66:[16, 50], Operations: ['86-70=16', '90-40=50']
Exploring Operation: 16+50=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[86, 70, 40, 90], Operations: []
Exploring Operation: 86-70=16, Resulting Numbers: [40, 90, 16]
Generated Node #0,0: 66:[40, 90, 16] Operation: 86-70=16
Exploring Operation: 90-70=20, Resulting Numbers: [86, 40, 20]
Generated Node #0,1: 66:[86, 40, 20] Operation: 90-70=20
Exploring Operation: 90-86=4, Resulting Numbers: [70, 40, 4]
Generated Node #0,2: 66:[70, 40, 4] Operation: 90-86=4
Start Sub Search at level 1: Moving to Node #0,2
Current State: 66:[70, 40, 4], Operations: ['90-86=4']
Exploring Operation: 40/4=10, Resulting Numbers: [70, 10]
Generated Node #0,2,0: 66:[70, 10] Operation: 40/4=10
Exploring Operation: 70-4=66, Resulting Numbers: [40, 66]
Generated Node #0,2,1: 66:[40, 66] Operation: 70-4=66
Exploring Operation: 70-40=30, Resulting Numbers: [4, 30]
Generated Node #0,2,2: 66:[4, 30] Operation: 70-40=30
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 66:[4, 30], Operations: ['90-86=4', '70-40=30']
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,66 unequal: No Solution
Exploring Operation: 4*30=120, Resulting Numbers: [120]
120,66 unequal: No Solution
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 66:[70, 10], Operations: ['90-86=4', '40/4=10']
Exploring Operation: 70+10=80, Resulting Numbers: [80]
80,66 unequal: No Solution
Exploring Operation: 70/10=7, Resulting Numbers: [7]
7,66 unequal: No Solution
Exploring Operation: 70-10=60, Resulting Numbers: [60]
60,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 66:[40, 66], Operations: ['90-86=4', '70-4=66']
Exploring Operation: 40+66=106, Resulting Numbers: [106]
106,66 unequal: No Solution
Exploring Operation: 66-40=26, Resulting Numbers: [26]
26,66 unequal: No Solution
Exploring Operation: 40*66=2640, Resulting Numbers: [2640]
2640,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 66:[86, 40, 20], Operations: ['90-70=20']
Exploring Operation: 86-20=66, Resulting Numbers: [40, 66]
Generated Node #0,1,0: 66:[40, 66] Operation: 86-20=66
Exploring Operation: 86-40=46, Resulting Numbers: [20, 46]
Generated Node #0,1,1: 66:[20, 46] Operation: 86-40=46
Exploring Operation: 40/20=2, Resulting Numbers: [86, 2]
Generated Node #0,1,2: 66:[86, 2] Operation: 40/20=2
Moving to Node #0,1,0
Current State: 66:[40, 66], Operations: ['90-70=20', '86-20=66']
Exploring Operation: 40+66=106, Resulting Numbers: [106]
106,66 unequal: No Solution
Exploring Operation: 40*66=2640, Resulting Numbers: [2640]
2640,66 unequal: No Solution
Exploring Operation: 66-40=26, Resulting Numbers: [26]
26,66 unequal: No Solution
Moving to Node #0,1,1
Current State: 66:[20, 46], Operations: ['90-70=20', '86-40=46']
Exploring Operation: 20+46=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[86, 70, 40, 90], Operations: []
Exploring Operation: 90-70=20, Resulting Numbers: [86, 40, 20]
Generated Node #0,1: 66:[86, 40, 20] Operation: 90-70=20
Moving to Node #0,1
Current State: 66:[86, 40, 20], Operations: ['90-70=20']
Exploring Operation: 86-40=46, Resulting Numbers: [20, 46]
Generated Node #0,1,1: 66:[20, 46] Operation: 86-40=46
Moving to Node #0,1,1
Current State: 66:[20, 46], Operations: ['90-70=20', '86-40=46']
Exploring Operation: 20+46=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_3 | mult_heuristic |
[
26,
44,
44,
78
] | 91 | [
"78/26=3",
"44+44=88",
"3+88=91"
] | Current State: 91:[26, 44, 44, 78], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [44, 44, 3]
Generated Node #2: [44, 44, 3] from Operation: 78/26=3
Current State: 91:[44, 44, 3], Operations: ['78/26=3']
Exploring Operation: 44+44=88, Resulting Numbers: [3, 88]
Generated Node #3: [3, 88] from Operation: 44+44=88
Current State: 91:[3, 88], Operations: ['78/26=3', '44+44=88']
Exploring Operation: 3+88=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[26, 44, 44, 78], Operations: []
Exploring Operation: 44/44=1, Resulting Numbers: [26, 78, 1]
Generated Node #0,0: 91:[26, 78, 1] Operation: 44/44=1
Exploring Operation: 44+44=88, Resulting Numbers: [26, 78, 88]
Generated Node #0,1: 91:[26, 78, 88] Operation: 44+44=88
Moving to Node #0,1
Current State: 91:[26, 78, 88], Operations: ['44+44=88']
Exploring Operation: 78/26=3, Resulting Numbers: [88, 3]
Generated Node #0,1,0: 91:[88, 3] Operation: 78/26=3
Exploring Operation: 26+78=104, Resulting Numbers: [88, 104]
Generated Node #0,1,1: 91:[88, 104] Operation: 26+78=104
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 91:[88, 3], Operations: ['44+44=88', '78/26=3']
Exploring Operation: 88+3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[26, 44, 44, 78], Operations: []
Exploring Operation: 44+44=88, Resulting Numbers: [26, 78, 88]
Generated Node #0,1: 91:[26, 78, 88] Operation: 44+44=88
Moving to Node #0,1
Current State: 91:[26, 78, 88], Operations: ['44+44=88']
Exploring Operation: 78/26=3, Resulting Numbers: [88, 3]
Generated Node #0,1,0: 91:[88, 3] Operation: 78/26=3
Moving to Node #0,1,0
Current State: 91:[88, 3], Operations: ['44+44=88', '78/26=3']
Exploring Operation: 88+3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
25,
3,
20,
99
] | 84 | [
"25+20=45",
"45/3=15",
"99-15=84"
] | Current State: 84:[25, 3, 20, 99], Operations: []
Exploring Operation: 25+20=45, Resulting Numbers: [3, 99, 45]
Generated Node #2: [3, 99, 45] from Operation: 25+20=45
Current State: 84:[3, 99, 45], Operations: ['25+20=45']
Exploring Operation: 45/3=15, Resulting Numbers: [99, 15]
Generated Node #3: [99, 15] from Operation: 45/3=15
Current State: 84:[99, 15], Operations: ['25+20=45', '45/3=15']
Exploring Operation: 99-15=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[25, 3, 20, 99], Operations: []
Exploring Operation: 99-20=79, Resulting Numbers: [25, 3, 79]
Generated Node #0,0: 84:[25, 3, 79] Operation: 99-20=79
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[25, 3, 79], Operations: ['99-20=79']
Exploring Operation: 25+3=28, Resulting Numbers: [79, 28]
Generated Node #0,0,0: 84:[79, 28] Operation: 25+3=28
Moving to Node #0,0,0
Current State: 84:[79, 28], Operations: ['99-20=79', '25+3=28']
Exploring Operation: 79-28=51, Resulting Numbers: [51]
51,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
85,
87,
3,
78
] | 82 | [
"87-78=9",
"9/3=3",
"85-3=82"
] | Current State: 82:[85, 87, 3, 78], Operations: []
Exploring Operation: 87-78=9, Resulting Numbers: [85, 3, 9]
Generated Node #2: [85, 3, 9] from Operation: 87-78=9
Current State: 82:[85, 3, 9], Operations: ['87-78=9']
Exploring Operation: 9/3=3, Resulting Numbers: [85, 3]
Generated Node #3: [85, 3] from Operation: 9/3=3
Current State: 82:[85, 3], Operations: ['87-78=9', '9/3=3']
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[85, 87, 3, 78], Operations: []
Exploring Operation: 85-3=82, Resulting Numbers: [87, 78, 82]
Generated Node #0,0: 82:[87, 78, 82] Operation: 85-3=82
Exploring Operation: 87-85=2, Resulting Numbers: [3, 78, 2]
Generated Node #0,1: 82:[3, 78, 2] Operation: 87-85=2
Exploring Operation: 87-3=84, Resulting Numbers: [85, 78, 84]
Generated Node #0,2: 82:[85, 78, 84] Operation: 87-3=84
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[3, 78, 2], Operations: ['87-85=2']
Exploring Operation: 78+2=80, Resulting Numbers: [3, 80]
Generated Node #0,1,0: 82:[3, 80] Operation: 78+2=80
Exploring Operation: 78/2=39, Resulting Numbers: [3, 39]
Generated Node #0,1,1: 82:[3, 39] Operation: 78/2=39
Exploring Operation: 3+78=81, Resulting Numbers: [2, 81]
Generated Node #0,1,2: 82:[2, 81] Operation: 3+78=81
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 82:[2, 81], Operations: ['87-85=2', '3+78=81']
Exploring Operation: 2*81=162, Resulting Numbers: [162]
162,82 unequal: No Solution
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,82 unequal: No Solution
Exploring Operation: 2+81=83, Resulting Numbers: [83]
83,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 82:[3, 80], Operations: ['87-85=2', '78+2=80']
Exploring Operation: 3+80=83, Resulting Numbers: [83]
83,82 unequal: No Solution
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,82 unequal: No Solution
Exploring Operation: 3*80=240, Resulting Numbers: [240]
240,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 82:[3, 39], Operations: ['87-85=2', '78/2=39']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,82 unequal: No Solution
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,82 unequal: No Solution
Exploring Operation: 3+39=42, Resulting Numbers: [42]
42,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[87, 78, 82], Operations: ['85-3=82']
Exploring Operation: 87-82=5, Resulting Numbers: [78, 5]
Generated Node #0,0,0: 82:[78, 5] Operation: 87-82=5
Exploring Operation: 82-78=4, Resulting Numbers: [87, 4]
Generated Node #0,0,1: 82:[87, 4] Operation: 82-78=4
Exploring Operation: 87-78=9, Resulting Numbers: [82, 9]
Generated Node #0,0,2: 82:[82, 9] Operation: 87-78=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 82:[78, 5], Operations: ['85-3=82', '87-82=5']
Exploring Operation: 78*5=390, Resulting Numbers: [390]
390,82 unequal: No Solution
Exploring Operation: 78+5=83, Resulting Numbers: [83]
83,82 unequal: No Solution
Exploring Operation: 78-5=73, Resulting Numbers: [73]
73,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 82:[87, 4], Operations: ['85-3=82', '82-78=4']
Exploring Operation: 87-4=83, Resulting Numbers: [83]
83,82 unequal: No Solution
Exploring Operation: 87*4=348, Resulting Numbers: [348]
348,82 unequal: No Solution
Exploring Operation: 87+4=91, Resulting Numbers: [91]
91,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 82:[82, 9], Operations: ['85-3=82', '87-78=9']
Exploring Operation: 82*9=738, Resulting Numbers: [738]
738,82 unequal: No Solution
Exploring Operation: 82-9=73, Resulting Numbers: [73]
73,82 unequal: No Solution
Exploring Operation: 82+9=91, Resulting Numbers: [91]
91,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 82:[85, 78, 84], Operations: ['87-3=84']
Exploring Operation: 85-84=1, Resulting Numbers: [78, 1]
Generated Node #0,2,0: 82:[78, 1] Operation: 85-84=1
Exploring Operation: 85-78=7, Resulting Numbers: [84, 7]
Generated Node #0,2,1: 82:[84, 7] Operation: 85-78=7
Exploring Operation: 84-78=6, Resulting Numbers: [85, 6]
Generated Node #0,2,2: 82:[85, 6] Operation: 84-78=6
Moving to Node #0,2,0
Current State: 82:[78, 1], Operations: ['87-3=84', '85-84=1']
Exploring Operation: 78*1=78, Resulting Numbers: [78]
78,82 unequal: No Solution
Exploring Operation: 78/1=78, Resulting Numbers: [78]
78,82 unequal: No Solution
Exploring Operation: 78+1=79, Resulting Numbers: [79]
79,82 unequal: No Solution
Moving to Node #0,2,1
Current State: 82:[84, 7], Operations: ['87-3=84', '85-78=7']
Exploring Operation: 84+7=91, Resulting Numbers: [91]
91,82 unequal: No Solution
Exploring Operation: 84-7=77, Resulting Numbers: [77]
77,82 unequal: No Solution
Exploring Operation: 84/7=12, Resulting Numbers: [12]
12,82 unequal: No Solution
Moving to Node #0,2,2
Current State: 82:[85, 6], Operations: ['87-3=84', '84-78=6']
Exploring Operation: 85*6=510, Resulting Numbers: [510]
510,82 unequal: No Solution
Exploring Operation: 85+6=91, Resulting Numbers: [91]
91,82 unequal: No Solution
Exploring Operation: 85-6=79, Resulting Numbers: [79]
79,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
46,
36,
72,
13
] | 61 | [
"46+13=59",
"72/36=2",
"59+2=61"
] | Current State: 61:[46, 36, 72, 13], Operations: []
Exploring Operation: 46+13=59, Resulting Numbers: [36, 72, 59]
Generated Node #2: [36, 72, 59] from Operation: 46+13=59
Current State: 61:[36, 72, 59], Operations: ['46+13=59']
Exploring Operation: 72/36=2, Resulting Numbers: [59, 2]
Generated Node #3: [59, 2] from Operation: 72/36=2
Current State: 61:[59, 2], Operations: ['46+13=59', '72/36=2']
Exploring Operation: 59+2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[46, 36, 72, 13], Operations: []
Exploring Operation: 72-13=59, Resulting Numbers: [46, 36, 59]
Generated Node #0,0: 61:[46, 36, 59] Operation: 72-13=59
Exploring Operation: 36+13=49, Resulting Numbers: [46, 72, 49]
Generated Node #0,1: 61:[46, 72, 49] Operation: 36+13=49
Exploring Operation: 46+13=59, Resulting Numbers: [36, 72, 59]
Generated Node #0,2: 61:[36, 72, 59] Operation: 46+13=59
Moving to Node #0,1
Current State: 61:[46, 72, 49], Operations: ['36+13=49']
Exploring Operation: 72-46=26, Resulting Numbers: [49, 26]
Generated Node #0,1,0: 61:[49, 26] Operation: 72-46=26
Exploring Operation: 72-49=23, Resulting Numbers: [46, 23]
Generated Node #0,1,1: 61:[46, 23] Operation: 72-49=23
Exploring Operation: 46+49=95, Resulting Numbers: [72, 95]
Generated Node #0,1,2: 61:[72, 95] Operation: 46+49=95
Moving to Node #0,2
Current State: 61:[36, 72, 59], Operations: ['46+13=59']
Exploring Operation: 36+59=95, Resulting Numbers: [72, 95]
Generated Node #0,2,0: 61:[72, 95] Operation: 36+59=95
Exploring Operation: 36+72=108, Resulting Numbers: [59, 108]
Generated Node #0,2,1: 61:[59, 108] Operation: 36+72=108
Exploring Operation: 72-36=36, Resulting Numbers: [59, 36]
Generated Node #0,2,2: 61:[59, 36] Operation: 72-36=36
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 61:[59, 36], Operations: ['46+13=59', '72-36=36']
Exploring Operation: 59-36=23, Resulting Numbers: [23]
23,61 unequal: No Solution
Exploring Operation: 59+36=95, Resulting Numbers: [95]
95,61 unequal: No Solution
Exploring Operation: 59*36=2124, Resulting Numbers: [2124]
2124,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 61:[72, 95], Operations: ['46+13=59', '36+59=95']
Exploring Operation: 72*95=6840, Resulting Numbers: [6840]
6840,61 unequal: No Solution
Exploring Operation: 95-72=23, Resulting Numbers: [23]
23,61 unequal: No Solution
Exploring Operation: 72+95=167, Resulting Numbers: [167]
167,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 61:[59, 108], Operations: ['46+13=59', '36+72=108']
Exploring Operation: 108-59=49, Resulting Numbers: [49]
49,61 unequal: No Solution
Exploring Operation: 59*108=6372, Resulting Numbers: [6372]
6372,61 unequal: No Solution
Exploring Operation: 59+108=167, Resulting Numbers: [167]
167,61 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: 61:[46, 36, 59], Operations: ['72-13=59']
Exploring Operation: 46+36=82, Resulting Numbers: [59, 82]
Generated Node #0,0,0: 61:[59, 82] Operation: 46+36=82
Exploring Operation: 36+59=95, Resulting Numbers: [46, 95]
Generated Node #0,0,1: 61:[46, 95] Operation: 36+59=95
Exploring Operation: 46-36=10, Resulting Numbers: [59, 10]
Generated Node #0,0,2: 61:[59, 10] Operation: 46-36=10
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 61:[59, 82], Operations: ['72-13=59', '46+36=82']
Exploring Operation: 59+82=141, Resulting Numbers: [141]
141,61 unequal: No Solution
Exploring Operation: 82-59=23, Resulting Numbers: [23]
23,61 unequal: No Solution
Exploring Operation: 59*82=4838, Resulting Numbers: [4838]
4838,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 61:[46, 95], Operations: ['72-13=59', '36+59=95']
Exploring Operation: 95-46=49, Resulting Numbers: [49]
49,61 unequal: No Solution
Exploring Operation: 46+95=141, Resulting Numbers: [141]
141,61 unequal: No Solution
Exploring Operation: 46*95=4370, Resulting Numbers: [4370]
4370,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 61:[59, 10], Operations: ['72-13=59', '46-36=10']
Exploring Operation: 59-10=49, Resulting Numbers: [49]
49,61 unequal: No Solution
Exploring Operation: 59*10=590, Resulting Numbers: [590]
590,61 unequal: No Solution
Exploring Operation: 59+10=69, Resulting Numbers: [69]
69,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 61:[72, 95], Operations: ['36+13=49', '46+49=95']
Exploring Operation: 72+95=167, Resulting Numbers: [167]
167,61 unequal: No Solution
Exploring Operation: 72*95=6840, Resulting Numbers: [6840]
6840,61 unequal: No Solution
Exploring Operation: 95-72=23, Resulting Numbers: [23]
23,61 unequal: No Solution
Moving to Node #0,1,0
Current State: 61:[49, 26], Operations: ['36+13=49', '72-46=26']
Exploring Operation: 49*26=1274, Resulting Numbers: [1274]
1274,61 unequal: No Solution
Exploring Operation: 49-26=23, Resulting Numbers: [23]
23,61 unequal: No Solution
Exploring Operation: 49+26=75, Resulting Numbers: [75]
75,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[46, 23], Operations: ['36+13=49', '72-49=23']
Exploring Operation: 46+23=69, Resulting Numbers: [69]
69,61 unequal: No Solution
Exploring Operation: 46/23=2, Resulting Numbers: [2]
2,61 unequal: No Solution
Exploring Operation: 46-23=23, Resulting Numbers: [23]
23,61 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
50,
66,
32,
64
] | 66 | [
"66-50=16",
"32/16=2",
"64+2=66"
] | Current State: 66:[50, 66, 32, 64], Operations: []
Exploring Operation: 66-50=16, Resulting Numbers: [32, 64, 16]
Generated Node #2: [32, 64, 16] from Operation: 66-50=16
Current State: 66:[32, 64, 16], Operations: ['66-50=16']
Exploring Operation: 32/16=2, Resulting Numbers: [64, 2]
Generated Node #3: [64, 2] from Operation: 32/16=2
Current State: 66:[64, 2], Operations: ['66-50=16', '32/16=2']
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[50, 66, 32, 64], Operations: []
Exploring Operation: 64/32=2, Resulting Numbers: [50, 66, 2]
Generated Node #0,0: 66:[50, 66, 2] Operation: 64/32=2
Exploring Operation: 66-64=2, Resulting Numbers: [50, 32, 2]
Generated Node #0,1: 66:[50, 32, 2] Operation: 66-64=2
Exploring Operation: 64-50=14, Resulting Numbers: [66, 32, 14]
Generated Node #0,2: 66:[66, 32, 14] Operation: 64-50=14
Exploring Operation: 66-50=16, Resulting Numbers: [32, 64, 16]
Generated Node #0,3: 66:[32, 64, 16] Operation: 66-50=16
Exploring Operation: 50-32=18, Resulting Numbers: [66, 64, 18]
Generated Node #0,4: 66:[66, 64, 18] Operation: 50-32=18
Moving to Node #0,2
Current State: 66:[66, 32, 14], Operations: ['64-50=14']
Exploring Operation: 66-14=52, Resulting Numbers: [32, 52]
Generated Node #0,2,0: 66:[32, 52] Operation: 66-14=52
Exploring Operation: 32+14=46, Resulting Numbers: [66, 46]
Generated Node #0,2,1: 66:[66, 46] Operation: 32+14=46
Exploring Operation: 66+14=80, Resulting Numbers: [32, 80]
Generated Node #0,2,2: 66:[32, 80] Operation: 66+14=80
Exploring Operation: 66-32=34, Resulting Numbers: [14, 34]
Generated Node #0,2,3: 66:[14, 34] Operation: 66-32=34
Exploring Operation: 32-14=18, Resulting Numbers: [66, 18]
Generated Node #0,2,4: 66:[66, 18] Operation: 32-14=18
Moving to Node #0,4
Current State: 66:[66, 64, 18], Operations: ['50-32=18']
Exploring Operation: 66-64=2, Resulting Numbers: [18, 2]
Generated Node #0,4,0: 66:[18, 2] Operation: 66-64=2
Exploring Operation: 66-18=48, Resulting Numbers: [64, 48]
Generated Node #0,4,1: 66:[64, 48] Operation: 66-18=48
Exploring Operation: 64-18=46, Resulting Numbers: [66, 46]
Generated Node #0,4,2: 66:[66, 46] Operation: 64-18=46
Exploring Operation: 66+18=84, Resulting Numbers: [64, 84]
Generated Node #0,4,3: 66:[64, 84] Operation: 66+18=84
Exploring Operation: 64+18=82, Resulting Numbers: [66, 82]
Generated Node #0,4,4: 66:[66, 82] Operation: 64+18=82
Moving to Node #0,3
Current State: 66:[32, 64, 16], Operations: ['66-50=16']
Exploring Operation: 32-16=16, Resulting Numbers: [64, 16]
Generated Node #0,3,0: 66:[64, 16] Operation: 32-16=16
Exploring Operation: 64-32=32, Resulting Numbers: [16, 32]
Generated Node #0,3,1: 66:[16, 32] Operation: 64-32=32
Exploring Operation: 64/16=4, Resulting Numbers: [32, 4]
Generated Node #0,3,2: 66:[32, 4] Operation: 64/16=4
Exploring Operation: 32/16=2, Resulting Numbers: [64, 2]
Generated Node #0,3,3: 66:[64, 2] Operation: 32/16=2
Exploring Operation: 64/32=2, Resulting Numbers: [16, 2]
Generated Node #0,3,4: 66:[16, 2] Operation: 64/32=2
Moving to Node #0,0
Current State: 66:[50, 66, 2], Operations: ['64/32=2']
Exploring Operation: 50+2=52, Resulting Numbers: [66, 52]
Generated Node #0,0,0: 66:[66, 52] Operation: 50+2=52
Exploring Operation: 66-50=16, Resulting Numbers: [2, 16]
Generated Node #0,0,1: 66:[2, 16] Operation: 66-50=16
Exploring Operation: 50-2=48, Resulting Numbers: [66, 48]
Generated Node #0,0,2: 66:[66, 48] Operation: 50-2=48
Exploring Operation: 50/2=25, Resulting Numbers: [66, 25]
Generated Node #0,0,3: 66:[66, 25] Operation: 50/2=25
Exploring Operation: 66/2=33, Resulting Numbers: [50, 33]
Generated Node #0,0,4: 66:[50, 33] Operation: 66/2=33
Moving to Node #0,1
Current State: 66:[50, 32, 2], Operations: ['66-64=2']
Exploring Operation: 50/2=25, Resulting Numbers: [32, 25]
Generated Node #0,1,0: 66:[32, 25] Operation: 50/2=25
Exploring Operation: 50+2=52, Resulting Numbers: [32, 52]
Generated Node #0,1,1: 66:[32, 52] Operation: 50+2=52
Exploring Operation: 50-32=18, Resulting Numbers: [2, 18]
Generated Node #0,1,2: 66:[2, 18] Operation: 50-32=18
Exploring Operation: 50-2=48, Resulting Numbers: [32, 48]
Generated Node #0,1,3: 66:[32, 48] Operation: 50-2=48
Exploring Operation: 50+32=82, Resulting Numbers: [2, 82]
Generated Node #0,1,4: 66:[2, 82] Operation: 50+32=82
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 66:[32, 25], Operations: ['66-64=2', '50/2=25']
Exploring Operation: 32-25=7, Resulting Numbers: [7]
7,66 unequal: No Solution
Exploring Operation: 32*25=800, Resulting Numbers: [800]
800,66 unequal: No Solution
Exploring Operation: 32+25=57, Resulting Numbers: [57]
57,66 unequal: No Solution
No 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: 66:[2, 18], Operations: ['66-64=2', '50-32=18']
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,66 unequal: No Solution
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,66 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,66 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,66 unequal: No Solution
No 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: 66:[32, 52], Operations: ['66-64=2', '50+2=52']
Exploring Operation: 32*52=1664, Resulting Numbers: [1664]
1664,66 unequal: No Solution
Exploring Operation: 32+52=84, Resulting Numbers: [84]
84,66 unequal: No Solution
Exploring Operation: 52-32=20, Resulting Numbers: [20]
20,66 unequal: No Solution
No 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: 66:[32, 48], Operations: ['66-64=2', '50-2=48']
Exploring Operation: 48-32=16, Resulting Numbers: [16]
16,66 unequal: No Solution
Exploring Operation: 32*48=1536, Resulting Numbers: [1536]
1536,66 unequal: No Solution
Exploring Operation: 32+48=80, Resulting Numbers: [80]
80,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 66:[2, 82], Operations: ['66-64=2', '50+32=82']
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,66 unequal: No Solution
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,66 unequal: No Solution
Exploring Operation: 2+82=84, Resulting Numbers: [84]
84,66 unequal: No Solution
Exploring Operation: 2*82=164, Resulting Numbers: [164]
164,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,2
Current State: 66:[32, 4], Operations: ['66-50=16', '64/16=4']
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,66 unequal: No Solution
Exploring Operation: 32*4=128, Resulting Numbers: [128]
128,66 unequal: No Solution
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,66 unequal: No Solution
Exploring Operation: 32+4=36, Resulting Numbers: [36]
36,66 unequal: No Solution
Moving to Node #0,3,3
Current State: 66:[64, 2], Operations: ['66-50=16', '32/16=2']
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,66 unequal: No Solution
Exploring Operation: 64*2=128, Resulting Numbers: [128]
128,66 unequal: No Solution
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,66 unequal: No Solution
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[50, 66, 32, 64], Operations: []
Exploring Operation: 66-50=16, Resulting Numbers: [32, 64, 16]
Generated Node #0,3: 66:[32, 64, 16] Operation: 66-50=16
Moving to Node #0,3
Current State: 66:[32, 64, 16], Operations: ['66-50=16']
Exploring Operation: 32/16=2, Resulting Numbers: [64, 2]
Generated Node #0,3,3: 66:[64, 2] Operation: 32/16=2
Moving to Node #0,3,3
Current State: 66:[64, 2], Operations: ['66-50=16', '32/16=2']
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 0.948785 | hs_5 | sum_heuristic |
[
3,
38,
39,
90
] | 39 | [
"39/3=13",
"90-38=52",
"52-13=39"
] | Current State: 39:[3, 38, 39, 90], Operations: []
Exploring Operation: 39/3=13, Resulting Numbers: [38, 90, 13]
Generated Node #2: [38, 90, 13] from Operation: 39/3=13
Current State: 39:[38, 90, 13], Operations: ['39/3=13']
Exploring Operation: 90-38=52, Resulting Numbers: [13, 52]
Generated Node #3: [13, 52] from Operation: 90-38=52
Current State: 39:[13, 52], Operations: ['39/3=13', '90-38=52']
Exploring Operation: 52-13=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[3, 38, 39, 90], Operations: []
Exploring Operation: 90-38=52, Resulting Numbers: [3, 39, 52]
Generated Node #0,0: 39:[3, 39, 52] Operation: 90-38=52
Exploring Operation: 90/3=30, Resulting Numbers: [38, 39, 30]
Generated Node #0,1: 39:[38, 39, 30] Operation: 90/3=30
Moving to Node #0,1
Current State: 39:[38, 39, 30], Operations: ['90/3=30']
Exploring Operation: 38-30=8, Resulting Numbers: [39, 8]
Generated Node #0,1,0: 39:[39, 8] Operation: 38-30=8
Exploring Operation: 39-30=9, Resulting Numbers: [38, 9]
Generated Node #0,1,1: 39:[38, 9] Operation: 39-30=9
Moving to Node #0,0
Current State: 39:[3, 39, 52], Operations: ['90-38=52']
Exploring Operation: 52-39=13, Resulting Numbers: [3, 13]
Generated Node #0,0,0: 39:[3, 13] Operation: 52-39=13
Exploring Operation: 52-3=49, Resulting Numbers: [39, 49]
Generated Node #0,0,1: 39:[39, 49] Operation: 52-3=49
Moving to Node #0,0,0
Current State: 39:[3, 13], Operations: ['90-38=52', '52-39=13']
Exploring Operation: 3+13=16, Resulting Numbers: [16]
16,39 unequal: No Solution
Exploring Operation: 3*13=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[3, 38, 39, 90], Operations: []
Exploring Operation: 90-38=52, Resulting Numbers: [3, 39, 52]
Generated Node #0,0: 39:[3, 39, 52] Operation: 90-38=52
Moving to Node #0,0
Current State: 39:[3, 39, 52], Operations: ['90-38=52']
Exploring Operation: 52-39=13, Resulting Numbers: [3, 13]
Generated Node #0,0,0: 39:[3, 13] Operation: 52-39=13
Moving to Node #0,0,0
Current State: 39:[3, 13], Operations: ['90-38=52', '52-39=13']
Exploring Operation: 3*13=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 0.989583 | hs_2 | mult_heuristic |
[
70,
8,
99,
50
] | 87 | [
"70-8=62",
"99+50=149",
"149-62=87"
] | Current State: 87:[70, 8, 99, 50], Operations: []
Exploring Operation: 70-8=62, Resulting Numbers: [99, 50, 62]
Generated Node #2: [99, 50, 62] from Operation: 70-8=62
Current State: 87:[99, 50, 62], Operations: ['70-8=62']
Exploring Operation: 99+50=149, Resulting Numbers: [62, 149]
Generated Node #3: [62, 149] from Operation: 99+50=149
Current State: 87:[62, 149], Operations: ['70-8=62', '99+50=149']
Exploring Operation: 149-62=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[70, 8, 99, 50], Operations: []
Exploring Operation: 99-8=91, Resulting Numbers: [70, 50, 91]
Generated Node #0,0: 87:[70, 50, 91] Operation: 99-8=91
Exploring Operation: 70-50=20, Resulting Numbers: [8, 99, 20]
Generated Node #0,1: 87:[8, 99, 20] Operation: 70-50=20
Exploring Operation: 70+8=78, Resulting Numbers: [99, 50, 78]
Generated Node #0,2: 87:[99, 50, 78] Operation: 70+8=78
Exploring Operation: 99-70=29, Resulting Numbers: [8, 50, 29]
Generated Node #0,3: 87:[8, 50, 29] Operation: 99-70=29
Moving to Node #0,1
Current State: 87:[8, 99, 20], Operations: ['70-50=20']
Exploring Operation: 8+20=28, Resulting Numbers: [99, 28]
Generated Node #0,1,0: 87:[99, 28] Operation: 8+20=28
Exploring Operation: 20-8=12, Resulting Numbers: [99, 12]
Generated Node #0,1,1: 87:[99, 12] Operation: 20-8=12
Exploring Operation: 99-8=91, Resulting Numbers: [20, 91]
Generated Node #0,1,2: 87:[20, 91] Operation: 99-8=91
Exploring Operation: 99-20=79, Resulting Numbers: [8, 79]
Generated Node #0,1,3: 87:[8, 79] Operation: 99-20=79
Moving to Node #0,3
Current State: 87:[8, 50, 29], Operations: ['99-70=29']
Exploring Operation: 8+50=58, Resulting Numbers: [29, 58]
Generated Node #0,3,0: 87:[29, 58] Operation: 8+50=58
Exploring Operation: 50-29=21, Resulting Numbers: [8, 21]
Generated Node #0,3,1: 87:[8, 21] Operation: 50-29=21
Exploring Operation: 50+29=79, Resulting Numbers: [8, 79]
Generated Node #0,3,2: 87:[8, 79] Operation: 50+29=79
Exploring Operation: 50-8=42, Resulting Numbers: [29, 42]
Generated Node #0,3,3: 87:[29, 42] Operation: 50-8=42
Moving to Node #0,2
Current State: 87:[99, 50, 78], Operations: ['70+8=78']
Exploring Operation: 78-50=28, Resulting Numbers: [99, 28]
Generated Node #0,2,0: 87:[99, 28] Operation: 78-50=28
Exploring Operation: 99-78=21, Resulting Numbers: [50, 21]
Generated Node #0,2,1: 87:[50, 21] Operation: 99-78=21
Exploring Operation: 99-50=49, Resulting Numbers: [78, 49]
Generated Node #0,2,2: 87:[78, 49] Operation: 99-50=49
Exploring Operation: 50+78=128, Resulting Numbers: [99, 128]
Generated Node #0,2,3: 87:[99, 128] Operation: 50+78=128
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 87:[99, 28], Operations: ['70+8=78', '78-50=28']
Exploring Operation: 99+28=127, Resulting Numbers: [127]
127,87 unequal: No Solution
Exploring Operation: 99*28=2772, Resulting Numbers: [2772]
2772,87 unequal: No Solution
Exploring Operation: 99-28=71, Resulting Numbers: [71]
71,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 87:[50, 21], Operations: ['70+8=78', '99-78=21']
Exploring Operation: 50*21=1050, Resulting Numbers: [1050]
1050,87 unequal: No Solution
Exploring Operation: 50+21=71, Resulting Numbers: [71]
71,87 unequal: No Solution
Exploring Operation: 50-21=29, Resulting Numbers: [29]
29,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 87:[78, 49], Operations: ['70+8=78', '99-50=49']
Exploring Operation: 78-49=29, Resulting Numbers: [29]
29,87 unequal: No Solution
Exploring Operation: 78*49=3822, Resulting Numbers: [3822]
3822,87 unequal: No Solution
Exploring Operation: 78+49=127, Resulting Numbers: [127]
127,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 87:[99, 128], Operations: ['70+8=78', '50+78=128']
Exploring Operation: 128-99=29, Resulting Numbers: [29]
29,87 unequal: No Solution
Exploring Operation: 99+128=227, Resulting Numbers: [227]
227,87 unequal: No Solution
Exploring Operation: 99*128=12672, Resulting Numbers: [12672]
12672,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 87:[70, 50, 91], Operations: ['99-8=91']
Exploring Operation: 70+50=120, Resulting Numbers: [91, 120]
Generated Node #0,0,0: 87:[91, 120] Operation: 70+50=120
Exploring Operation: 70-50=20, Resulting Numbers: [91, 20]
Generated Node #0,0,1: 87:[91, 20] Operation: 70-50=20
Exploring Operation: 91-70=21, Resulting Numbers: [50, 21]
Generated Node #0,0,2: 87:[50, 21] Operation: 91-70=21
Exploring Operation: 91-50=41, Resulting Numbers: [70, 41]
Generated Node #0,0,3: 87:[70, 41] Operation: 91-50=41
Moving to Node #0,1,0
Current State: 87:[99, 28], Operations: ['70-50=20', '8+20=28']
Exploring Operation: 99+28=127, Resulting Numbers: [127]
127,87 unequal: No Solution
Exploring Operation: 99-28=71, Resulting Numbers: [71]
71,87 unequal: No Solution
Exploring Operation: 99*28=2772, Resulting Numbers: [2772]
2772,87 unequal: No Solution
Moving to Node #0,1,3
Current State: 87:[8, 79], Operations: ['70-50=20', '99-20=79']
Exploring Operation: 8+79=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[70, 8, 99, 50], Operations: []
Exploring Operation: 70-50=20, Resulting Numbers: [8, 99, 20]
Generated Node #0,1: 87:[8, 99, 20] Operation: 70-50=20
Moving to Node #0,1
Current State: 87:[8, 99, 20], Operations: ['70-50=20']
Exploring Operation: 99-20=79, Resulting Numbers: [8, 79]
Generated Node #0,1,3: 87:[8, 79] Operation: 99-20=79
Moving to Node #0,1,3
Current State: 87:[8, 79], Operations: ['70-50=20', '99-20=79']
Exploring Operation: 8+79=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 0.965278 | hs_4 | mult_heuristic |
[
75,
17,
18,
37
] | 38 | [
"75-37=38",
"18-17=1",
"38*1=38"
] | Current State: 38:[75, 17, 18, 37], Operations: []
Exploring Operation: 75-37=38, Resulting Numbers: [17, 18, 38]
Generated Node #2: [17, 18, 38] from Operation: 75-37=38
Current State: 38:[17, 18, 38], Operations: ['75-37=38']
Exploring Operation: 18-17=1, Resulting Numbers: [38, 1]
Generated Node #3: [38, 1] from Operation: 18-17=1
Current State: 38:[38, 1], Operations: ['75-37=38', '18-17=1']
Exploring Operation: 38*1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[75, 17, 18, 37], Operations: []
Exploring Operation: 75-37=38, Resulting Numbers: [17, 18, 38]
Generated Node #0,0: 38:[17, 18, 38] Operation: 75-37=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[17, 18, 38], Operations: ['75-37=38']
Exploring Operation: 18-17=1, Resulting Numbers: [38, 1]
Generated Node #0,0,0: 38:[38, 1] Operation: 18-17=1
Moving to Node #0,0,0
Current State: 38:[38, 1], Operations: ['75-37=38', '18-17=1']
Exploring Operation: 38*1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[75, 17, 18, 37], Operations: []
Exploring Operation: 75-37=38, Resulting Numbers: [17, 18, 38]
Generated Node #0,0: 38:[17, 18, 38] Operation: 75-37=38
Moving to Node #0,0
Current State: 38:[17, 18, 38], Operations: ['75-37=38']
Exploring Operation: 18-17=1, Resulting Numbers: [38, 1]
Generated Node #0,0,0: 38:[38, 1] Operation: 18-17=1
Moving to Node #0,0,0
Current State: 38:[38, 1], Operations: ['75-37=38', '18-17=1']
Exploring Operation: 38*1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
92,
35,
9,
18
] | 61 | [
"35-18=17",
"9*17=153",
"153-92=61"
] | Current State: 61:[92, 35, 9, 18], Operations: []
Exploring Operation: 35-18=17, Resulting Numbers: [92, 9, 17]
Generated Node #2: [92, 9, 17] from Operation: 35-18=17
Current State: 61:[92, 9, 17], Operations: ['35-18=17']
Exploring Operation: 9*17=153, Resulting Numbers: [92, 153]
Generated Node #3: [92, 153] from Operation: 9*17=153
Current State: 61:[92, 153], Operations: ['35-18=17', '9*17=153']
Exploring Operation: 153-92=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[92, 35, 9, 18], Operations: []
Exploring Operation: 92-9=83, Resulting Numbers: [35, 18, 83]
Generated Node #0,0: 61:[35, 18, 83] Operation: 92-9=83
Exploring Operation: 92-18=74, Resulting Numbers: [35, 9, 74]
Generated Node #0,1: 61:[35, 9, 74] Operation: 92-18=74
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[35, 18, 83], Operations: ['92-9=83']
Exploring Operation: 83-18=65, Resulting Numbers: [35, 65]
Generated Node #0,0,0: 61:[35, 65] Operation: 83-18=65
Exploring Operation: 35+18=53, Resulting Numbers: [83, 53]
Generated Node #0,0,1: 61:[83, 53] Operation: 35+18=53
Moving to Node #0,0,0
Current State: 61:[35, 65], Operations: ['92-9=83', '83-18=65']
Exploring Operation: 35+65=100, Resulting Numbers: [100]
100,61 unequal: No Solution
Exploring Operation: 65-35=30, Resulting Numbers: [30]
30,61 unequal: No Solution
Moving to Node #0,0,1
Current State: 61:[83, 53], Operations: ['92-9=83', '35+18=53']
Exploring Operation: 83+53=136, Resulting Numbers: [136]
136,61 unequal: No Solution
Exploring Operation: 83-53=30, Resulting Numbers: [30]
30,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[35, 9, 74], Operations: ['92-18=74']
Exploring Operation: 35+9=44, Resulting Numbers: [74, 44]
Generated Node #0,1,0: 61:[74, 44] Operation: 35+9=44
Exploring Operation: 74-9=65, Resulting Numbers: [35, 65]
Generated Node #0,1,1: 61:[35, 65] Operation: 74-9=65
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 61:[74, 44], Operations: ['92-18=74', '35+9=44']
Exploring Operation: 74-44=30, Resulting Numbers: [30]
30,61 unequal: No Solution
Exploring Operation: 74+44=118, Resulting Numbers: [118]
118,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 61:[35, 65], Operations: ['92-18=74', '74-9=65']
Exploring Operation: 65-35=30, Resulting Numbers: [30]
30,61 unequal: No Solution
Exploring Operation: 35+65=100, Resulting Numbers: [100]
100,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
12,
49,
36,
80
] | 67 | [
"36/12=3",
"49*3=147",
"147-80=67"
] | Current State: 67:[12, 49, 36, 80], Operations: []
Exploring Operation: 36/12=3, Resulting Numbers: [49, 80, 3]
Generated Node #2: [49, 80, 3] from Operation: 36/12=3
Current State: 67:[49, 80, 3], Operations: ['36/12=3']
Exploring Operation: 49*3=147, Resulting Numbers: [80, 147]
Generated Node #3: [80, 147] from Operation: 49*3=147
Current State: 67:[80, 147], Operations: ['36/12=3', '49*3=147']
Exploring Operation: 147-80=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[12, 49, 36, 80], Operations: []
Exploring Operation: 12+36=48, Resulting Numbers: [49, 80, 48]
Generated Node #0,0: 67:[49, 80, 48] Operation: 12+36=48
Exploring Operation: 12+49=61, Resulting Numbers: [36, 80, 61]
Generated Node #0,1: 67:[36, 80, 61] Operation: 12+49=61
Moving to Node #0,0
Current State: 67:[49, 80, 48], Operations: ['12+36=48']
Exploring Operation: 80-48=32, Resulting Numbers: [49, 32]
Generated Node #0,0,0: 67:[49, 32] Operation: 80-48=32
Exploring Operation: 49+48=97, Resulting Numbers: [80, 97]
Generated Node #0,0,1: 67:[80, 97] Operation: 49+48=97
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 67:[80, 97], Operations: ['12+36=48', '49+48=97']
Exploring Operation: 80+97=177, Resulting Numbers: [177]
177,67 unequal: No Solution
Exploring Operation: 97-80=17, Resulting Numbers: [17]
17,67 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 #0,0,0
Current State: 67:[49, 32], Operations: ['12+36=48', '80-48=32']
Exploring Operation: 49+32=81, Resulting Numbers: [81]
81,67 unequal: No Solution
Exploring Operation: 49-32=17, Resulting Numbers: [17]
17,67 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: 67:[36, 80, 61], Operations: ['12+49=61']
Exploring Operation: 80-36=44, Resulting Numbers: [61, 44]
Generated Node #0,1,0: 67:[61, 44] Operation: 80-36=44
Exploring Operation: 36+61=97, Resulting Numbers: [80, 97]
Generated Node #0,1,1: 67:[80, 97] Operation: 36+61=97
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 67:[61, 44], Operations: ['12+49=61', '80-36=44']
Exploring Operation: 61-44=17, Resulting Numbers: [17]
17,67 unequal: No Solution
Exploring Operation: 61+44=105, Resulting Numbers: [105]
105,67 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 #0,1,1
Current State: 67:[80, 97], Operations: ['12+49=61', '36+61=97']
Exploring Operation: 97-80=17, Resulting Numbers: [17]
17,67 unequal: No Solution
Exploring Operation: 80+97=177, Resulting Numbers: [177]
177,67 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 |
[
75,
81,
41,
95
] | 20 | [
"75+81=156",
"41+95=136",
"156-136=20"
] | Current State: 20:[75, 81, 41, 95], Operations: []
Exploring Operation: 75+81=156, Resulting Numbers: [41, 95, 156]
Generated Node #2: [41, 95, 156] from Operation: 75+81=156
Current State: 20:[41, 95, 156], Operations: ['75+81=156']
Exploring Operation: 41+95=136, Resulting Numbers: [156, 136]
Generated Node #3: [156, 136] from Operation: 41+95=136
Current State: 20:[156, 136], Operations: ['75+81=156', '41+95=136']
Exploring Operation: 156-136=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[75, 81, 41, 95], Operations: []
Exploring Operation: 95-81=14, Resulting Numbers: [75, 41, 14]
Generated Node #0,0: 20:[75, 41, 14] Operation: 95-81=14
Exploring Operation: 95-75=20, Resulting Numbers: [81, 41, 20]
Generated Node #0,1: 20:[81, 41, 20] Operation: 95-75=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[75, 41, 14], Operations: ['95-81=14']
Exploring Operation: 75-14=61, Resulting Numbers: [41, 61]
Generated Node #0,0,0: 20:[41, 61] Operation: 75-14=61
Exploring Operation: 75-41=34, Resulting Numbers: [14, 34]
Generated Node #0,0,1: 20:[14, 34] Operation: 75-41=34
Moving to Node #0,0,1
Current State: 20:[14, 34], Operations: ['95-81=14', '75-41=34']
Exploring Operation: 14+34=48, Resulting Numbers: [48]
48,20 unequal: No Solution
Exploring Operation: 34-14=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[75, 81, 41, 95], Operations: []
Exploring Operation: 95-81=14, Resulting Numbers: [75, 41, 14]
Generated Node #0,0: 20:[75, 41, 14] Operation: 95-81=14
Moving to Node #0,0
Current State: 20:[75, 41, 14], Operations: ['95-81=14']
Exploring Operation: 75-41=34, Resulting Numbers: [14, 34]
Generated Node #0,0,1: 20:[14, 34] Operation: 75-41=34
Moving to Node #0,0,1
Current State: 20:[14, 34], Operations: ['95-81=14', '75-41=34']
Exploring Operation: 34-14=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
40,
8,
92,
46
] | 30 | [
"40-8=32",
"92/46=2",
"32-2=30"
] | Current State: 30:[40, 8, 92, 46], Operations: []
Exploring Operation: 40-8=32, Resulting Numbers: [92, 46, 32]
Generated Node #2: [92, 46, 32] from Operation: 40-8=32
Current State: 30:[92, 46, 32], Operations: ['40-8=32']
Exploring Operation: 92/46=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 92/46=2
Current State: 30:[32, 2], Operations: ['40-8=32', '92/46=2']
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[40, 8, 92, 46], Operations: []
Exploring Operation: 92/46=2, Resulting Numbers: [40, 8, 2]
Generated Node #0,0: 30:[40, 8, 2] Operation: 92/46=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[40, 8, 2], Operations: ['92/46=2']
Exploring Operation: 40/8=5, Resulting Numbers: [2, 5]
Generated Node #0,0,0: 30:[2, 5] Operation: 40/8=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 30:[2, 5], Operations: ['92/46=2', '40/8=5']
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
83,
52,
33,
2
] | 24 | [
"83-33=50",
"52/2=26",
"50-26=24"
] | Current State: 24:[83, 52, 33, 2], Operations: []
Exploring Operation: 83-33=50, Resulting Numbers: [52, 2, 50]
Generated Node #2: [52, 2, 50] from Operation: 83-33=50
Current State: 24:[52, 2, 50], Operations: ['83-33=50']
Exploring Operation: 52/2=26, Resulting Numbers: [50, 26]
Generated Node #3: [50, 26] from Operation: 52/2=26
Current State: 24:[50, 26], Operations: ['83-33=50', '52/2=26']
Exploring Operation: 50-26=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[83, 52, 33, 2], Operations: []
Exploring Operation: 83-2=81, Resulting Numbers: [52, 33, 81]
Generated Node #0,0: 24:[52, 33, 81] Operation: 83-2=81
Exploring Operation: 83-52=31, Resulting Numbers: [33, 2, 31]
Generated Node #0,1: 24:[33, 2, 31] Operation: 83-52=31
Exploring Operation: 83-33=50, Resulting Numbers: [52, 2, 50]
Generated Node #0,2: 24:[52, 2, 50] Operation: 83-33=50
Exploring Operation: 52-33=19, Resulting Numbers: [83, 2, 19]
Generated Node #0,3: 24:[83, 2, 19] Operation: 52-33=19
Exploring Operation: 52/2=26, Resulting Numbers: [83, 33, 26]
Generated Node #0,4: 24:[83, 33, 26] Operation: 52/2=26
Start Sub Search at level 1: Moving to Node #0,1
Current State: 24:[33, 2, 31], Operations: ['83-52=31']
Exploring Operation: 31-2=29, Resulting Numbers: [33, 29]
Generated Node #0,1,0: 24:[33, 29] Operation: 31-2=29
Exploring Operation: 33-31=2, Resulting Numbers: [2, 2]
Generated Node #0,1,1: 24:[2, 2] Operation: 33-31=2
Exploring Operation: 2+31=33, Resulting Numbers: [33, 33]
Generated Node #0,1,2: 24:[33, 33] Operation: 2+31=33
Exploring Operation: 33+2=35, Resulting Numbers: [31, 35]
Generated Node #0,1,3: 24:[31, 35] Operation: 33+2=35
Exploring Operation: 33-2=31, Resulting Numbers: [31, 31]
Generated Node #0,1,4: 24:[31, 31] Operation: 33-2=31
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 24:[2, 2], Operations: ['83-52=31', '33-31=2']
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,24 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,24 unequal: No Solution
No 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: 24:[33, 29], Operations: ['83-52=31', '31-2=29']
Exploring Operation: 33-29=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Exploring Operation: 33+29=62, Resulting Numbers: [62]
62,24 unequal: No Solution
Exploring Operation: 33*29=957, Resulting Numbers: [957]
957,24 unequal: No Solution
No 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: 24:[31, 31], Operations: ['83-52=31', '33-2=31']
Exploring Operation: 31+31=62, Resulting Numbers: [62]
62,24 unequal: No Solution
Exploring Operation: 31-31=0, Resulting Numbers: [0]
0,24 unequal: No Solution
Exploring Operation: 31/31=1, Resulting Numbers: [1]
1,24 unequal: No Solution
Exploring Operation: 31*31=961, Resulting Numbers: [961]
961,24 unequal: No Solution
No 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: 24:[33, 33], Operations: ['83-52=31', '2+31=33']
Exploring Operation: 33+33=66, Resulting Numbers: [66]
66,24 unequal: No Solution
Exploring Operation: 33-33=0, Resulting Numbers: [0]
0,24 unequal: No Solution
Exploring Operation: 33*33=1089, Resulting Numbers: [1089]
1089,24 unequal: No Solution
Exploring Operation: 33/33=1, Resulting Numbers: [1]
1,24 unequal: No Solution
No 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: 24:[31, 35], Operations: ['83-52=31', '33+2=35']
Exploring Operation: 31*35=1085, Resulting Numbers: [1085]
1085,24 unequal: No Solution
Exploring Operation: 31+35=66, Resulting Numbers: [66]
66,24 unequal: No Solution
Exploring Operation: 35-31=4, Resulting Numbers: [4]
4,24 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: 24:[52, 2, 50], Operations: ['83-33=50']
Exploring Operation: 50/2=25, Resulting Numbers: [52, 25]
Generated Node #0,2,0: 24:[52, 25] Operation: 50/2=25
Exploring Operation: 50-2=48, Resulting Numbers: [52, 48]
Generated Node #0,2,1: 24:[52, 48] Operation: 50-2=48
Exploring Operation: 52-2=50, Resulting Numbers: [50, 50]
Generated Node #0,2,2: 24:[50, 50] Operation: 52-2=50
Exploring Operation: 52/2=26, Resulting Numbers: [50, 26]
Generated Node #0,2,3: 24:[50, 26] Operation: 52/2=26
Exploring Operation: 52-50=2, Resulting Numbers: [2, 2]
Generated Node #0,2,4: 24:[2, 2] Operation: 52-50=2
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 24:[2, 2], Operations: ['83-33=50', '52-50=2']
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,24 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,24 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,24 unequal: No Solution
No 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: 24:[50, 26], Operations: ['83-33=50', '52/2=26']
Exploring Operation: 50+26=76, Resulting Numbers: [76]
76,24 unequal: No Solution
Exploring Operation: 50-26=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[83, 52, 33, 2], Operations: []
Exploring Operation: 83-33=50, Resulting Numbers: [52, 2, 50]
Generated Node #0,2: 24:[52, 2, 50] Operation: 83-33=50
Moving to Node #0,2
Current State: 24:[52, 2, 50], Operations: ['83-33=50']
Exploring Operation: 52/2=26, Resulting Numbers: [50, 26]
Generated Node #0,2,3: 24:[50, 26] Operation: 52/2=26
Moving to Node #0,2,3
Current State: 24:[50, 26], Operations: ['83-33=50', '52/2=26']
Exploring Operation: 50-26=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.962674 | hs_5 | sum_heuristic |
[
8,
10,
85,
2
] | 89 | [
"10-8=2",
"85+2=87",
"2+87=89"
] | Current State: 89:[8, 10, 85, 2], Operations: []
Exploring Operation: 10-8=2, Resulting Numbers: [85, 2, 2]
Generated Node #2: [85, 2, 2] from Operation: 10-8=2
Current State: 89:[85, 2, 2], Operations: ['10-8=2']
Exploring Operation: 85+2=87, Resulting Numbers: [87]
87,89 equal: Goal Reached
Exploring Operation: 2+87=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[8, 10, 85, 2], Operations: []
Exploring Operation: 10*2=20, Resulting Numbers: [8, 85, 20]
Generated Node #0,0: 89:[8, 85, 20] Operation: 10*2=20
Exploring Operation: 8*2=16, Resulting Numbers: [10, 85, 16]
Generated Node #0,1: 89:[10, 85, 16] Operation: 8*2=16
Exploring Operation: 8+10=18, Resulting Numbers: [85, 2, 18]
Generated Node #0,2: 89:[85, 2, 18] Operation: 8+10=18
Exploring Operation: 8*10=80, Resulting Numbers: [85, 2, 80]
Generated Node #0,3: 89:[85, 2, 80] Operation: 8*10=80
Start Sub Search at level 1: Moving to Node #0,3
Current State: 89:[85, 2, 80], Operations: ['8*10=80']
Exploring Operation: 85+2=87, Resulting Numbers: [80, 87]
Generated Node #0,3,0: 89:[80, 87] Operation: 85+2=87
Exploring Operation: 85-2=83, Resulting Numbers: [80, 83]
Generated Node #0,3,1: 89:[80, 83] Operation: 85-2=83
Exploring Operation: 80-2=78, Resulting Numbers: [85, 78]
Generated Node #0,3,2: 89:[85, 78] Operation: 80-2=78
Exploring Operation: 2+80=82, Resulting Numbers: [85, 82]
Generated Node #0,3,3: 89:[85, 82] Operation: 2+80=82
Moving to Node #0,3,0
Current State: 89:[80, 87], Operations: ['8*10=80', '85+2=87']
Exploring Operation: 80*87=6960, Resulting Numbers: [6960]
6960,89 unequal: No Solution
Exploring Operation: 87-80=7, Resulting Numbers: [7]
7,89 unequal: No Solution
Exploring Operation: 80+87=167, Resulting Numbers: [167]
167,89 unequal: No Solution
Moving to Node #0,3,3
Current State: 89:[85, 82], Operations: ['8*10=80', '2+80=82']
Exploring Operation: 85-82=3, Resulting Numbers: [3]
3,89 unequal: No Solution
Exploring Operation: 85*82=6970, Resulting Numbers: [6970]
6970,89 unequal: No Solution
Exploring Operation: 85+82=167, Resulting Numbers: [167]
167,89 unequal: No Solution
Moving to Node #0,3,2
Current State: 89:[85, 78], Operations: ['8*10=80', '80-2=78']
Exploring Operation: 85+78=163, Resulting Numbers: [163]
163,89 unequal: No Solution
Exploring Operation: 85*78=6630, Resulting Numbers: [6630]
6630,89 unequal: No Solution
Exploring Operation: 85-78=7, Resulting Numbers: [7]
7,89 unequal: No Solution
Moving to Node #0,3,1
Current State: 89:[80, 83], Operations: ['8*10=80', '85-2=83']
Exploring Operation: 80*83=6640, Resulting Numbers: [6640]
6640,89 unequal: No Solution
Exploring Operation: 83-80=3, Resulting Numbers: [3]
3,89 unequal: No Solution
Exploring Operation: 80+83=163, Resulting Numbers: [163]
163,89 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 #0,0
Current State: 89:[8, 85, 20], Operations: ['10*2=20']
Exploring Operation: 8+20=28, Resulting Numbers: [85, 28]
Generated Node #0,0,0: 89:[85, 28] Operation: 8+20=28
Exploring Operation: 85-8=77, Resulting Numbers: [20, 77]
Generated Node #0,0,1: 89:[20, 77] Operation: 85-8=77
Exploring Operation: 8+85=93, Resulting Numbers: [20, 93]
Generated Node #0,0,2: 89:[20, 93] Operation: 8+85=93
Exploring Operation: 8*20=160, Resulting Numbers: [85, 160]
Generated Node #0,0,3: 89:[85, 160] Operation: 8*20=160
Moving to Node #0,0,0
Current State: 89:[85, 28], Operations: ['10*2=20', '8+20=28']
Exploring Operation: 85+28=113, Resulting Numbers: [113]
113,89 unequal: No Solution
Exploring Operation: 85-28=57, Resulting Numbers: [57]
57,89 unequal: No Solution
Exploring Operation: 85*28=2380, Resulting Numbers: [2380]
2380,89 unequal: No Solution
Moving to Node #0,0,2
Current State: 89:[20, 93], Operations: ['10*2=20', '8+85=93']
Exploring Operation: 20+93=113, Resulting Numbers: [113]
113,89 unequal: No Solution
Exploring Operation: 93-20=73, Resulting Numbers: [73]
73,89 unequal: No Solution
Exploring Operation: 20*93=1860, Resulting Numbers: [1860]
1860,89 unequal: No Solution
Moving to Node #0,0,3
Current State: 89:[85, 160], Operations: ['10*2=20', '8*20=160']
Exploring Operation: 85+160=245, Resulting Numbers: [245]
245,89 unequal: No Solution
Exploring Operation: 85*160=13600, Resulting Numbers: [13600]
13600,89 unequal: No Solution
Exploring Operation: 160-85=75, Resulting Numbers: [75]
75,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[20, 77], Operations: ['10*2=20', '85-8=77']
Exploring Operation: 77-20=57, Resulting Numbers: [57]
57,89 unequal: No Solution
Exploring Operation: 20+77=97, Resulting Numbers: [97]
97,89 unequal: No Solution
Exploring Operation: 20*77=1540, Resulting Numbers: [1540]
1540,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 89:[10, 85, 16], Operations: ['8*2=16']
Exploring Operation: 85-10=75, Resulting Numbers: [16, 75]
Generated Node #0,1,0: 89:[16, 75] Operation: 85-10=75
Exploring Operation: 10+16=26, Resulting Numbers: [85, 26]
Generated Node #0,1,1: 89:[85, 26] Operation: 10+16=26
Exploring Operation: 10+85=95, Resulting Numbers: [16, 95]
Generated Node #0,1,2: 89:[16, 95] Operation: 10+85=95
Exploring Operation: 10*16=160, Resulting Numbers: [85, 160]
Generated Node #0,1,3: 89:[85, 160] Operation: 10*16=160
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 89:[85, 26], Operations: ['8*2=16', '10+16=26']
Exploring Operation: 85-26=59, Resulting Numbers: [59]
59,89 unequal: No Solution
Exploring Operation: 85*26=2210, Resulting Numbers: [2210]
2210,89 unequal: No Solution
Exploring Operation: 85+26=111, Resulting Numbers: [111]
111,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 89:[85, 160], Operations: ['8*2=16', '10*16=160']
Exploring Operation: 85+160=245, Resulting Numbers: [245]
245,89 unequal: No Solution
Exploring Operation: 160-85=75, Resulting Numbers: [75]
75,89 unequal: No Solution
Exploring Operation: 85*160=13600, Resulting Numbers: [13600]
13600,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 89:[16, 95], Operations: ['8*2=16', '10+85=95']
Exploring Operation: 16+95=111, Resulting Numbers: [111]
111,89 unequal: No Solution
Exploring Operation: 16*95=1520, Resulting Numbers: [1520]
1520,89 unequal: No Solution
Exploring Operation: 95-16=79, Resulting Numbers: [79]
79,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 89:[16, 75], Operations: ['8*2=16', '85-10=75']
Exploring Operation: 16*75=1200, Resulting Numbers: [1200]
1200,89 unequal: No Solution
Exploring Operation: 16+75=91, Resulting Numbers: [91]
91,89 unequal: No Solution
Exploring Operation: 75-16=59, Resulting Numbers: [59]
59,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 89:[85, 2, 18], Operations: ['8+10=18']
Exploring Operation: 2*18=36, Resulting Numbers: [85, 36]
Generated Node #0,2,0: 89:[85, 36] Operation: 2*18=36
Exploring Operation: 2+18=20, Resulting Numbers: [85, 20]
Generated Node #0,2,1: 89:[85, 20] Operation: 2+18=20
Exploring Operation: 85-2=83, Resulting Numbers: [18, 83]
Generated Node #0,2,2: 89:[18, 83] Operation: 85-2=83
Exploring Operation: 85+2=87, Resulting Numbers: [18, 87]
Generated Node #0,2,3: 89:[18, 87] Operation: 85+2=87
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 89:[85, 36], Operations: ['8+10=18', '2*18=36']
Exploring Operation: 85-36=49, Resulting Numbers: [49]
49,89 unequal: No Solution
Exploring Operation: 85*36=3060, Resulting Numbers: [3060]
3060,89 unequal: No Solution
Exploring Operation: 85+36=121, Resulting Numbers: [121]
121,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 89:[85, 20], Operations: ['8+10=18', '2+18=20']
Exploring Operation: 85-20=65, Resulting Numbers: [65]
65,89 unequal: No Solution
Exploring Operation: 85+20=105, Resulting Numbers: [105]
105,89 unequal: No Solution
Exploring Operation: 85*20=1700, Resulting Numbers: [1700]
1700,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 89:[18, 87], Operations: ['8+10=18', '85+2=87']
Exploring Operation: 18+87=105, Resulting Numbers: [105]
105,89 unequal: No Solution
Exploring Operation: 18*87=1566, Resulting Numbers: [1566]
1566,89 unequal: No Solution
Exploring Operation: 87-18=69, Resulting Numbers: [69]
69,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 89:[18, 83], Operations: ['8+10=18', '85-2=83']
Exploring Operation: 18*83=1494, Resulting Numbers: [1494]
1494,89 unequal: No Solution
Exploring Operation: 83-18=65, Resulting Numbers: [65]
65,89 unequal: No Solution
Exploring Operation: 18+83=101, Resulting Numbers: [101]
101,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
22,
51,
8,
87
] | 11 | [
"51-22=29",
"87/29=3",
"8+3=11"
] | Current State: 11:[22, 51, 8, 87], Operations: []
Exploring Operation: 51-22=29, Resulting Numbers: [8, 87, 29]
Generated Node #2: [8, 87, 29] from Operation: 51-22=29
Current State: 11:[8, 87, 29], Operations: ['51-22=29']
Exploring Operation: 87/29=3, Resulting Numbers: [8, 3]
Generated Node #3: [8, 3] from Operation: 87/29=3
Current State: 11:[8, 3], Operations: ['51-22=29', '87/29=3']
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[22, 51, 8, 87], Operations: []
Exploring Operation: 87-51=36, Resulting Numbers: [22, 8, 36]
Generated Node #0,0: 11:[22, 8, 36] Operation: 87-51=36
Exploring Operation: 51-22=29, Resulting Numbers: [8, 87, 29]
Generated Node #0,1: 11:[8, 87, 29] Operation: 51-22=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[22, 8, 36], Operations: ['87-51=36']
Exploring Operation: 36-22=14, Resulting Numbers: [8, 14]
Generated Node #0,0,0: 11:[8, 14] Operation: 36-22=14
Exploring Operation: 22-8=14, Resulting Numbers: [36, 14]
Generated Node #0,0,1: 11:[36, 14] Operation: 22-8=14
Moving to Node #0,0,0
Current State: 11:[8, 14], Operations: ['87-51=36', '36-22=14']
Exploring Operation: 8+14=22, Resulting Numbers: [22]
22,11 unequal: No Solution
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Moving to Node #0,0,1
Current State: 11:[36, 14], Operations: ['87-51=36', '22-8=14']
Exploring Operation: 36+14=50, Resulting Numbers: [50]
50,11 unequal: No Solution
Exploring Operation: 36-14=22, Resulting Numbers: [22]
22,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[8, 87, 29], Operations: ['51-22=29']
Exploring Operation: 87-29=58, Resulting Numbers: [8, 58]
Generated Node #0,1,0: 11:[8, 58] Operation: 87-29=58
Exploring Operation: 87/29=3, Resulting Numbers: [8, 3]
Generated Node #0,1,1: 11:[8, 3] Operation: 87/29=3
Moving to Node #0,1,1
Current State: 11:[8, 3], Operations: ['51-22=29', '87/29=3']
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[22, 51, 8, 87], Operations: []
Exploring Operation: 51-22=29, Resulting Numbers: [8, 87, 29]
Generated Node #0,1: 11:[8, 87, 29] Operation: 51-22=29
Moving to Node #0,1
Current State: 11:[8, 87, 29], Operations: ['51-22=29']
Exploring Operation: 87/29=3, Resulting Numbers: [8, 3]
Generated Node #0,1,1: 11:[8, 3] Operation: 87/29=3
Moving to Node #0,1,1
Current State: 11:[8, 3], Operations: ['51-22=29', '87/29=3']
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
22,
39,
71,
5
] | 14 | [
"39-22=17",
"5*17=85",
"85-71=14"
] | Current State: 14:[22, 39, 71, 5], Operations: []
Exploring Operation: 39-22=17, Resulting Numbers: [71, 5, 17]
Generated Node #2: [71, 5, 17] from Operation: 39-22=17
Current State: 14:[71, 5, 17], Operations: ['39-22=17']
Exploring Operation: 5*17=85, Resulting Numbers: [71, 85]
Generated Node #3: [71, 85] from Operation: 5*17=85
Current State: 14:[71, 85], Operations: ['39-22=17', '5*17=85']
Exploring Operation: 85-71=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[22, 39, 71, 5], Operations: []
Exploring Operation: 71-39=32, Resulting Numbers: [22, 5, 32]
Generated Node #0,0: 14:[22, 5, 32] Operation: 71-39=32
Exploring Operation: 39-22=17, Resulting Numbers: [71, 5, 17]
Generated Node #0,1: 14:[71, 5, 17] Operation: 39-22=17
Exploring Operation: 71-22=49, Resulting Numbers: [39, 5, 49]
Generated Node #0,2: 14:[39, 5, 49] Operation: 71-22=49
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[22, 5, 32], Operations: ['71-39=32']
Exploring Operation: 22-5=17, Resulting Numbers: [32, 17]
Generated Node #0,0,0: 14:[32, 17] Operation: 22-5=17
Exploring Operation: 32-22=10, Resulting Numbers: [5, 10]
Generated Node #0,0,1: 14:[5, 10] Operation: 32-22=10
Exploring Operation: 32-5=27, Resulting Numbers: [22, 27]
Generated Node #0,0,2: 14:[22, 27] Operation: 32-5=27
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 14:[5, 10], Operations: ['71-39=32', '32-22=10']
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,14 unequal: No Solution
Exploring Operation: 5+10=15, Resulting Numbers: [15]
15,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 14:[32, 17], Operations: ['71-39=32', '22-5=17']
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,14 unequal: No Solution
Exploring Operation: 32*17=544, Resulting Numbers: [544]
544,14 unequal: No Solution
Exploring Operation: 32+17=49, Resulting Numbers: [49]
49,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 14:[22, 27], Operations: ['71-39=32', '32-5=27']
Exploring Operation: 27-22=5, Resulting Numbers: [5]
5,14 unequal: No Solution
Exploring Operation: 22+27=49, Resulting Numbers: [49]
49,14 unequal: No Solution
Exploring Operation: 22*27=594, Resulting Numbers: [594]
594,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 14:[71, 5, 17], Operations: ['39-22=17']
Exploring Operation: 17-5=12, Resulting Numbers: [71, 12]
Generated Node #0,1,0: 14:[71, 12] Operation: 17-5=12
Exploring Operation: 71-17=54, Resulting Numbers: [5, 54]
Generated Node #0,1,1: 14:[5, 54] Operation: 71-17=54
Exploring Operation: 71-5=66, Resulting Numbers: [17, 66]
Generated Node #0,1,2: 14:[17, 66] Operation: 71-5=66
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 14:[5, 54], Operations: ['39-22=17', '71-17=54']
Exploring Operation: 54-5=49, Resulting Numbers: [49]
49,14 unequal: No Solution
Exploring Operation: 5+54=59, Resulting Numbers: [59]
59,14 unequal: No Solution
Exploring Operation: 5*54=270, Resulting Numbers: [270]
270,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 14:[17, 66], Operations: ['39-22=17', '71-5=66']
Exploring Operation: 66-17=49, Resulting Numbers: [49]
49,14 unequal: No Solution
Exploring Operation: 17*66=1122, Resulting Numbers: [1122]
1122,14 unequal: No Solution
Exploring Operation: 17+66=83, Resulting Numbers: [83]
83,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 14:[71, 12], Operations: ['39-22=17', '17-5=12']
Exploring Operation: 71*12=852, Resulting Numbers: [852]
852,14 unequal: No Solution
Exploring Operation: 71-12=59, Resulting Numbers: [59]
59,14 unequal: No Solution
Exploring Operation: 71+12=83, Resulting Numbers: [83]
83,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 14:[39, 5, 49], Operations: ['71-22=49']
Exploring Operation: 39-5=34, Resulting Numbers: [49, 34]
Generated Node #0,2,0: 14:[49, 34] Operation: 39-5=34
Exploring Operation: 49-5=44, Resulting Numbers: [39, 44]
Generated Node #0,2,1: 14:[39, 44] Operation: 49-5=44
Exploring Operation: 49-39=10, Resulting Numbers: [5, 10]
Generated Node #0,2,2: 14:[5, 10] Operation: 49-39=10
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 14:[5, 10], Operations: ['71-22=49', '49-39=10']
Exploring Operation: 5+10=15, Resulting Numbers: [15]
15,14 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,14 unequal: No Solution
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,14 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 #0,2,0
Current State: 14:[49, 34], Operations: ['71-22=49', '39-5=34']
Exploring Operation: 49-34=15, Resulting Numbers: [15]
15,14 unequal: No Solution
Exploring Operation: 49*34=1666, Resulting Numbers: [1666]
1666,14 unequal: No Solution
Exploring Operation: 49+34=83, Resulting Numbers: [83]
83,14 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 #0,2,1
Current State: 14:[39, 44], Operations: ['71-22=49', '49-5=44']
Exploring Operation: 39*44=1716, Resulting Numbers: [1716]
1716,14 unequal: No Solution
Exploring Operation: 44-39=5, Resulting Numbers: [5]
5,14 unequal: No Solution
Exploring Operation: 39+44=83, Resulting Numbers: [83]
83,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
58,
59,
89,
7
] | 82 | [
"59-58=1",
"89-7=82",
"1*82=82"
] | Current State: 82:[58, 59, 89, 7], Operations: []
Exploring Operation: 59-58=1, Resulting Numbers: [89, 7, 1]
Generated Node #2: [89, 7, 1] from Operation: 59-58=1
Current State: 82:[89, 7, 1], Operations: ['59-58=1']
Exploring Operation: 89-7=82, Resulting Numbers: [1, 82]
Generated Node #3: [1, 82] from Operation: 89-7=82
Current State: 82:[1, 82], Operations: ['59-58=1', '89-7=82']
Exploring Operation: 1*82=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[58, 59, 89, 7], Operations: []
Exploring Operation: 59-58=1, Resulting Numbers: [89, 7, 1]
Generated Node #0,0: 82:[89, 7, 1] Operation: 59-58=1
Exploring Operation: 89-59=30, Resulting Numbers: [58, 7, 30]
Generated Node #0,1: 82:[58, 7, 30] Operation: 89-59=30
Exploring Operation: 89-58=31, Resulting Numbers: [59, 7, 31]
Generated Node #0,2: 82:[59, 7, 31] Operation: 89-58=31
Moving to Node #0,0
Current State: 82:[89, 7, 1], Operations: ['59-58=1']
Exploring Operation: 89-1=88, Resulting Numbers: [7, 88]
Generated Node #0,0,0: 82:[7, 88] Operation: 89-1=88
Exploring Operation: 7-1=6, Resulting Numbers: [89, 6]
Generated Node #0,0,1: 82:[89, 6] Operation: 7-1=6
Exploring Operation: 89-7=82, Resulting Numbers: [1, 82]
Generated Node #0,0,2: 82:[1, 82] Operation: 89-7=82
Moving to Node #0,1
Current State: 82:[58, 7, 30], Operations: ['89-59=30']
Exploring Operation: 58+30=88, Resulting Numbers: [7, 88]
Generated Node #0,1,0: 82:[7, 88] Operation: 58+30=88
Exploring Operation: 58-30=28, Resulting Numbers: [7, 28]
Generated Node #0,1,1: 82:[7, 28] Operation: 58-30=28
Exploring Operation: 58-7=51, Resulting Numbers: [30, 51]
Generated Node #0,1,2: 82:[30, 51] Operation: 58-7=51
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 82:[7, 88], Operations: ['89-59=30', '58+30=88']
Exploring Operation: 7*88=616, Resulting Numbers: [616]
616,82 unequal: No Solution
Exploring Operation: 88-7=81, Resulting Numbers: [81]
81,82 unequal: No Solution
Exploring Operation: 7+88=95, Resulting Numbers: [95]
95,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 82:[7, 28], Operations: ['89-59=30', '58-30=28']
Exploring Operation: 7+28=35, Resulting Numbers: [35]
35,82 unequal: No Solution
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,82 unequal: No Solution
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 82:[30, 51], Operations: ['89-59=30', '58-7=51']
Exploring Operation: 51-30=21, Resulting Numbers: [21]
21,82 unequal: No Solution
Exploring Operation: 30*51=1530, Resulting Numbers: [1530]
1530,82 unequal: No Solution
Exploring Operation: 30+51=81, Resulting Numbers: [81]
81,82 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: 82:[59, 7, 31], Operations: ['89-58=31']
Exploring Operation: 59+31=90, Resulting Numbers: [7, 90]
Generated Node #0,2,0: 82:[7, 90] Operation: 59+31=90
Exploring Operation: 59-31=28, Resulting Numbers: [7, 28]
Generated Node #0,2,1: 82:[7, 28] Operation: 59-31=28
Exploring Operation: 59-7=52, Resulting Numbers: [31, 52]
Generated Node #0,2,2: 82:[31, 52] Operation: 59-7=52
Moving to Node #0,0,2
Current State: 82:[1, 82], Operations: ['59-58=1', '89-7=82']
Exploring Operation: 1*82=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[58, 59, 89, 7], Operations: []
Exploring Operation: 59-58=1, Resulting Numbers: [89, 7, 1]
Generated Node #0,0: 82:[89, 7, 1] Operation: 59-58=1
Moving to Node #0,0
Current State: 82:[89, 7, 1], Operations: ['59-58=1']
Exploring Operation: 89-7=82, Resulting Numbers: [1, 82]
Generated Node #0,0,2: 82:[1, 82] Operation: 89-7=82
Moving to Node #0,0,2
Current State: 82:[1, 82], Operations: ['59-58=1', '89-7=82']
Exploring Operation: 1*82=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 0.977431 | hs_3 | mult_heuristic |
[
85,
33,
76,
72
] | 96 | [
"85-33=52",
"76+72=148",
"148-52=96"
] | Current State: 96:[85, 33, 76, 72], Operations: []
Exploring Operation: 85-33=52, Resulting Numbers: [76, 72, 52]
Generated Node #2: [76, 72, 52] from Operation: 85-33=52
Current State: 96:[76, 72, 52], Operations: ['85-33=52']
Exploring Operation: 76+72=148, Resulting Numbers: [52, 148]
Generated Node #3: [52, 148] from Operation: 76+72=148
Current State: 96:[52, 148], Operations: ['85-33=52', '76+72=148']
Exploring Operation: 148-52=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[85, 33, 76, 72], Operations: []
Exploring Operation: 85-76=9, Resulting Numbers: [33, 72, 9]
Generated Node #0,0: 96:[33, 72, 9] Operation: 85-76=9
Exploring Operation: 72-33=39, Resulting Numbers: [85, 76, 39]
Generated Node #0,1: 96:[85, 76, 39] Operation: 72-33=39
Exploring Operation: 85-72=13, Resulting Numbers: [33, 76, 13]
Generated Node #0,2: 96:[33, 76, 13] Operation: 85-72=13
Exploring Operation: 76-72=4, Resulting Numbers: [85, 33, 4]
Generated Node #0,3: 96:[85, 33, 4] Operation: 76-72=4
Start Sub Search at level 1: Moving to Node #0,3
Current State: 96:[85, 33, 4], Operations: ['76-72=4']
Exploring Operation: 85+4=89, Resulting Numbers: [33, 89]
Generated Node #0,3,0: 96:[33, 89] Operation: 85+4=89
Exploring Operation: 85-4=81, Resulting Numbers: [33, 81]
Generated Node #0,3,1: 96:[33, 81] Operation: 85-4=81
Exploring Operation: 85-33=52, Resulting Numbers: [4, 52]
Generated Node #0,3,2: 96:[4, 52] Operation: 85-33=52
Exploring Operation: 33-4=29, Resulting Numbers: [85, 29]
Generated Node #0,3,3: 96:[85, 29] Operation: 33-4=29
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 96:[4, 52], Operations: ['76-72=4', '85-33=52']
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,96 unequal: No Solution
Exploring Operation: 4+52=56, Resulting Numbers: [56]
56,96 unequal: No Solution
Exploring Operation: 4*52=208, Resulting Numbers: [208]
208,96 unequal: No Solution
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,96 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 #0,3,0
Current State: 96:[33, 89], Operations: ['76-72=4', '85+4=89']
Exploring Operation: 33+89=122, Resulting Numbers: [122]
122,96 unequal: No Solution
Exploring Operation: 89-33=56, Resulting Numbers: [56]
56,96 unequal: No Solution
Exploring Operation: 33*89=2937, Resulting Numbers: [2937]
2937,96 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 #0,3,3
Current State: 96:[85, 29], Operations: ['76-72=4', '33-4=29']
Exploring Operation: 85+29=114, Resulting Numbers: [114]
114,96 unequal: No Solution
Exploring Operation: 85*29=2465, Resulting Numbers: [2465]
2465,96 unequal: No Solution
Exploring Operation: 85-29=56, Resulting Numbers: [56]
56,96 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 #0,3,1
Current State: 96:[33, 81], Operations: ['76-72=4', '85-4=81']
Exploring Operation: 33+81=114, Resulting Numbers: [114]
114,96 unequal: No Solution
Exploring Operation: 81-33=48, Resulting Numbers: [48]
48,96 unequal: No Solution
Exploring Operation: 33*81=2673, Resulting Numbers: [2673]
2673,96 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 #0,2
Current State: 96:[33, 76, 13], Operations: ['85-72=13']
Exploring Operation: 76-33=43, Resulting Numbers: [13, 43]
Generated Node #0,2,0: 96:[13, 43] Operation: 76-33=43
Exploring Operation: 76-13=63, Resulting Numbers: [33, 63]
Generated Node #0,2,1: 96:[33, 63] Operation: 76-13=63
Exploring Operation: 76+13=89, Resulting Numbers: [33, 89]
Generated Node #0,2,2: 96:[33, 89] Operation: 76+13=89
Exploring Operation: 33+76=109, Resulting Numbers: [13, 109]
Generated Node #0,2,3: 96:[13, 109] Operation: 33+76=109
Moving to Node #0,2,0
Current State: 96:[13, 43], Operations: ['85-72=13', '76-33=43']
Exploring Operation: 43-13=30, Resulting Numbers: [30]
30,96 unequal: No Solution
Exploring Operation: 13+43=56, Resulting Numbers: [56]
56,96 unequal: No Solution
Exploring Operation: 13*43=559, Resulting Numbers: [559]
559,96 unequal: No Solution
Moving to Node #0,2,2
Current State: 96:[33, 89], Operations: ['85-72=13', '76+13=89']
Exploring Operation: 33+89=122, Resulting Numbers: [122]
122,96 unequal: No Solution
Exploring Operation: 33*89=2937, Resulting Numbers: [2937]
2937,96 unequal: No Solution
Exploring Operation: 89-33=56, Resulting Numbers: [56]
56,96 unequal: No Solution
Moving to Node #0,2,3
Current State: 96:[13, 109], Operations: ['85-72=13', '33+76=109']
Exploring Operation: 13*109=1417, Resulting Numbers: [1417]
1417,96 unequal: No Solution
Exploring Operation: 109-13=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[85, 33, 76, 72], Operations: []
Exploring Operation: 85-72=13, Resulting Numbers: [33, 76, 13]
Generated Node #0,2: 96:[33, 76, 13] Operation: 85-72=13
Moving to Node #0,2
Current State: 96:[33, 76, 13], Operations: ['85-72=13']
Exploring Operation: 33+76=109, Resulting Numbers: [13, 109]
Generated Node #0,2,3: 96:[13, 109] Operation: 33+76=109
Moving to Node #0,2,3
Current State: 96:[13, 109], Operations: ['85-72=13', '33+76=109']
Exploring Operation: 109-13=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.967882 | hs_4 | sum_heuristic |
[
84,
14,
8,
80
] | 32 | [
"84/14=6",
"8*6=48",
"80-48=32"
] | Current State: 32:[84, 14, 8, 80], Operations: []
Exploring Operation: 84/14=6, Resulting Numbers: [8, 80, 6]
Generated Node #2: [8, 80, 6] from Operation: 84/14=6
Current State: 32:[8, 80, 6], Operations: ['84/14=6']
Exploring Operation: 8*6=48, Resulting Numbers: [80, 48]
Generated Node #3: [80, 48] from Operation: 8*6=48
Current State: 32:[80, 48], Operations: ['84/14=6', '8*6=48']
Exploring Operation: 80-48=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[84, 14, 8, 80], Operations: []
Exploring Operation: 84-14=70, Resulting Numbers: [8, 80, 70]
Generated Node #0,0: 32:[8, 80, 70] Operation: 84-14=70
Exploring Operation: 80/8=10, Resulting Numbers: [84, 14, 10]
Generated Node #0,1: 32:[84, 14, 10] Operation: 80/8=10
Exploring Operation: 84/14=6, Resulting Numbers: [8, 80, 6]
Generated Node #0,2: 32:[8, 80, 6] Operation: 84/14=6
Exploring Operation: 84-80=4, Resulting Numbers: [14, 8, 4]
Generated Node #0,3: 32:[14, 8, 4] Operation: 84-80=4
Start Sub Search at level 1: Moving to Node #0,3
Current State: 32:[14, 8, 4], Operations: ['84-80=4']
Exploring Operation: 14-4=10, Resulting Numbers: [8, 10]
Generated Node #0,3,0: 32:[8, 10] Operation: 14-4=10
Exploring Operation: 14+4=18, Resulting Numbers: [8, 18]
Generated Node #0,3,1: 32:[8, 18] Operation: 14+4=18
Exploring Operation: 8*4=32, Resulting Numbers: [14, 32]
Generated Node #0,3,2: 32:[14, 32] Operation: 8*4=32
Exploring Operation: 14-8=6, Resulting Numbers: [4, 6]
Generated Node #0,3,3: 32:[4, 6] Operation: 14-8=6
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 32:[8, 10], Operations: ['84-80=4', '14-4=10']
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,32 unequal: No Solution
Exploring Operation: 8*10=80, Resulting Numbers: [80]
80,32 unequal: No Solution
Exploring Operation: 8+10=18, Resulting Numbers: [18]
18,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 32:[8, 18], Operations: ['84-80=4', '14+4=18']
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,32 unequal: No Solution
Exploring Operation: 8*18=144, Resulting Numbers: [144]
144,32 unequal: No Solution
Exploring Operation: 8+18=26, Resulting Numbers: [26]
26,32 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:[14, 32], Operations: ['84-80=4', '8*4=32']
Exploring Operation: 14*32=448, Resulting Numbers: [448]
448,32 unequal: No Solution
Exploring Operation: 14+32=46, Resulting Numbers: [46]
46,32 unequal: No Solution
Exploring Operation: 32-14=18, Resulting Numbers: [18]
18,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 32:[4, 6], Operations: ['84-80=4', '14-8=6']
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,32 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,32 unequal: No Solution
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,32 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:[8, 80, 6], Operations: ['84/14=6']
Exploring Operation: 80-8=72, Resulting Numbers: [6, 72]
Generated Node #0,2,0: 32:[6, 72] Operation: 80-8=72
Exploring Operation: 80-6=74, Resulting Numbers: [8, 74]
Generated Node #0,2,1: 32:[8, 74] Operation: 80-6=74
Exploring Operation: 80/8=10, Resulting Numbers: [6, 10]
Generated Node #0,2,2: 32:[6, 10] Operation: 80/8=10
Exploring Operation: 8-6=2, Resulting Numbers: [80, 2]
Generated Node #0,2,3: 32:[80, 2] Operation: 8-6=2
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 32:[6, 10], Operations: ['84/14=6', '80/8=10']
Exploring Operation: 6+10=16, Resulting Numbers: [16]
16,32 unequal: No Solution
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,32 unequal: No Solution
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,32 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:[6, 72], Operations: ['84/14=6', '80-8=72']
Exploring Operation: 72/6=12, Resulting Numbers: [12]
12,32 unequal: No Solution
Exploring Operation: 6*72=432, Resulting Numbers: [432]
432,32 unequal: No Solution
Exploring Operation: 72-6=66, Resulting Numbers: [66]
66,32 unequal: No Solution
Exploring Operation: 6+72=78, Resulting Numbers: [78]
78,32 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:[8, 74], Operations: ['84/14=6', '80-6=74']
Exploring Operation: 74-8=66, Resulting Numbers: [66]
66,32 unequal: No Solution
Exploring Operation: 8*74=592, Resulting Numbers: [592]
592,32 unequal: No Solution
Exploring Operation: 8+74=82, Resulting Numbers: [82]
82,32 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:[80, 2], Operations: ['84/14=6', '8-6=2']
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,32 unequal: No Solution
Exploring Operation: 80*2=160, Resulting Numbers: [160]
160,32 unequal: No Solution
Exploring Operation: 80/2=40, Resulting Numbers: [40]
40,32 unequal: No Solution
Exploring Operation: 80+2=82, Resulting Numbers: [82]
82,32 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:[84, 14, 10], Operations: ['80/8=10']
Exploring Operation: 84-14=70, Resulting Numbers: [10, 70]
Generated Node #0,1,0: 32:[10, 70] Operation: 84-14=70
Exploring Operation: 84/14=6, Resulting Numbers: [10, 6]
Generated Node #0,1,1: 32:[10, 6] Operation: 84/14=6
Exploring Operation: 14-10=4, Resulting Numbers: [84, 4]
Generated Node #0,1,2: 32:[84, 4] Operation: 14-10=4
Exploring Operation: 84-10=74, Resulting Numbers: [14, 74]
Generated Node #0,1,3: 32:[14, 74] Operation: 84-10=74
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 32:[10, 6], Operations: ['80/8=10', '84/14=6']
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,32 unequal: No Solution
Exploring Operation: 10+6=16, Resulting Numbers: [16]
16,32 unequal: No Solution
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,32 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:[10, 70], Operations: ['80/8=10', '84-14=70']
Exploring Operation: 70/10=7, Resulting Numbers: [7]
7,32 unequal: No Solution
Exploring Operation: 70-10=60, Resulting Numbers: [60]
60,32 unequal: No Solution
Exploring Operation: 10*70=700, Resulting Numbers: [700]
700,32 unequal: No Solution
Exploring Operation: 10+70=80, Resulting Numbers: [80]
80,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 32:[14, 74], Operations: ['80/8=10', '84-10=74']
Exploring Operation: 14*74=1036, Resulting Numbers: [1036]
1036,32 unequal: No Solution
Exploring Operation: 14+74=88, Resulting Numbers: [88]
88,32 unequal: No Solution
Exploring Operation: 74-14=60, Resulting Numbers: [60]
60,32 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 #0,1,2
Current State: 32:[84, 4], Operations: ['80/8=10', '14-10=4']
Exploring Operation: 84*4=336, Resulting Numbers: [336]
336,32 unequal: No Solution
Exploring Operation: 84/4=21, Resulting Numbers: [21]
21,32 unequal: No Solution
Exploring Operation: 84+4=88, Resulting Numbers: [88]
88,32 unequal: No Solution
Exploring Operation: 84-4=80, Resulting Numbers: [80]
80,32 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:[8, 80, 70], Operations: ['84-14=70']
Exploring Operation: 80/8=10, Resulting Numbers: [70, 10]
Generated Node #0,0,0: 32:[70, 10] Operation: 80/8=10
Exploring Operation: 80-8=72, Resulting Numbers: [70, 72]
Generated Node #0,0,1: 32:[70, 72] Operation: 80-8=72
Exploring Operation: 80-70=10, Resulting Numbers: [8, 10]
Generated Node #0,0,2: 32:[8, 10] Operation: 80-70=10
Exploring Operation: 70-8=62, Resulting Numbers: [80, 62]
Generated Node #0,0,3: 32:[80, 62] Operation: 70-8=62
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 32:[8, 10], Operations: ['84-14=70', '80-70=10']
Exploring Operation: 8*10=80, Resulting Numbers: [80]
80,32 unequal: No Solution
Exploring Operation: 8+10=18, Resulting Numbers: [18]
18,32 unequal: No Solution
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 32:[70, 10], Operations: ['84-14=70', '80/8=10']
Exploring Operation: 70*10=700, Resulting Numbers: [700]
700,32 unequal: No Solution
Exploring Operation: 70+10=80, Resulting Numbers: [80]
80,32 unequal: No Solution
Exploring Operation: 70/10=7, Resulting Numbers: [7]
7,32 unequal: No Solution
Exploring Operation: 70-10=60, Resulting Numbers: [60]
60,32 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:[70, 72], Operations: ['84-14=70', '80-8=72']
Exploring Operation: 70+72=142, Resulting Numbers: [142]
142,32 unequal: No Solution
Exploring Operation: 72-70=2, Resulting Numbers: [2]
2,32 unequal: No Solution
Exploring Operation: 70*72=5040, Resulting Numbers: [5040]
5040,32 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:[80, 62], Operations: ['84-14=70', '70-8=62']
Exploring Operation: 80-62=18, Resulting Numbers: [18]
18,32 unequal: No Solution
Exploring Operation: 80*62=4960, Resulting Numbers: [4960]
4960,32 unequal: No Solution
Exploring Operation: 80+62=142, Resulting Numbers: [142]
142,32 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_4 | mult_heuristic |
[
68,
43,
38,
95
] | 82 | [
"68-43=25",
"95-38=57",
"25+57=82"
] | Current State: 82:[68, 43, 38, 95], Operations: []
Exploring Operation: 68-43=25, Resulting Numbers: [38, 95, 25]
Generated Node #2: [38, 95, 25] from Operation: 68-43=25
Current State: 82:[38, 95, 25], Operations: ['68-43=25']
Exploring Operation: 95-38=57, Resulting Numbers: [25, 57]
Generated Node #3: [25, 57] from Operation: 95-38=57
Current State: 82:[25, 57], Operations: ['68-43=25', '95-38=57']
Exploring Operation: 25+57=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[68, 43, 38, 95], Operations: []
Exploring Operation: 68-38=30, Resulting Numbers: [43, 95, 30]
Generated Node #0,0: 82:[43, 95, 30] Operation: 68-38=30
Exploring Operation: 43+38=81, Resulting Numbers: [68, 95, 81]
Generated Node #0,1: 82:[68, 95, 81] Operation: 43+38=81
Exploring Operation: 95-43=52, Resulting Numbers: [68, 38, 52]
Generated Node #0,2: 82:[68, 38, 52] Operation: 95-43=52
Exploring Operation: 95-68=27, Resulting Numbers: [43, 38, 27]
Generated Node #0,3: 82:[43, 38, 27] Operation: 95-68=27
Exploring Operation: 43-38=5, Resulting Numbers: [68, 95, 5]
Generated Node #0,4: 82:[68, 95, 5] Operation: 43-38=5
Start Sub Search at level 1: Moving to Node #0,3
Current State: 82:[43, 38, 27], Operations: ['95-68=27']
Exploring Operation: 43+38=81, Resulting Numbers: [27, 81]
Generated Node #0,3,0: 82:[27, 81] Operation: 43+38=81
Exploring Operation: 43+27=70, Resulting Numbers: [38, 70]
Generated Node #0,3,1: 82:[38, 70] Operation: 43+27=70
Exploring Operation: 38-27=11, Resulting Numbers: [43, 11]
Generated Node #0,3,2: 82:[43, 11] Operation: 38-27=11
Exploring Operation: 43-27=16, Resulting Numbers: [38, 16]
Generated Node #0,3,3: 82:[38, 16] Operation: 43-27=16
Exploring Operation: 43-38=5, Resulting Numbers: [27, 5]
Generated Node #0,3,4: 82:[27, 5] Operation: 43-38=5
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 82:[43, 11], Operations: ['95-68=27', '38-27=11']
Exploring Operation: 43*11=473, Resulting Numbers: [473]
473,82 unequal: No Solution
Exploring Operation: 43+11=54, Resulting Numbers: [54]
54,82 unequal: No Solution
Exploring Operation: 43-11=32, Resulting Numbers: [32]
32,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 82:[27, 81], Operations: ['95-68=27', '43+38=81']
Exploring Operation: 27*81=2187, Resulting Numbers: [2187]
2187,82 unequal: No Solution
Exploring Operation: 81-27=54, Resulting Numbers: [54]
54,82 unequal: No Solution
Exploring Operation: 81/27=3, Resulting Numbers: [3]
3,82 unequal: No Solution
Exploring Operation: 27+81=108, Resulting Numbers: [108]
108,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 82:[38, 70], Operations: ['95-68=27', '43+27=70']
Exploring Operation: 38*70=2660, Resulting Numbers: [2660]
2660,82 unequal: No Solution
Exploring Operation: 38+70=108, Resulting Numbers: [108]
108,82 unequal: No Solution
Exploring Operation: 70-38=32, Resulting Numbers: [32]
32,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 82:[38, 16], Operations: ['95-68=27', '43-27=16']
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,82 unequal: No Solution
Exploring Operation: 38+16=54, Resulting Numbers: [54]
54,82 unequal: No Solution
Exploring Operation: 38*16=608, Resulting Numbers: [608]
608,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 82:[27, 5], Operations: ['95-68=27', '43-38=5']
Exploring Operation: 27*5=135, Resulting Numbers: [135]
135,82 unequal: No Solution
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,82 unequal: No Solution
Exploring Operation: 27+5=32, Resulting Numbers: [32]
32,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[43, 95, 30], Operations: ['68-38=30']
Exploring Operation: 43-30=13, Resulting Numbers: [95, 13]
Generated Node #0,0,0: 82:[95, 13] Operation: 43-30=13
Exploring Operation: 95-30=65, Resulting Numbers: [43, 65]
Generated Node #0,0,1: 82:[43, 65] Operation: 95-30=65
Exploring Operation: 95+30=125, Resulting Numbers: [43, 125]
Generated Node #0,0,2: 82:[43, 125] Operation: 95+30=125
Exploring Operation: 95-43=52, Resulting Numbers: [30, 52]
Generated Node #0,0,3: 82:[30, 52] Operation: 95-43=52
Exploring Operation: 43+30=73, Resulting Numbers: [95, 73]
Generated Node #0,0,4: 82:[95, 73] Operation: 43+30=73
Moving to Node #0,0,1
Current State: 82:[43, 65], Operations: ['68-38=30', '95-30=65']
Exploring Operation: 43*65=2795, Resulting Numbers: [2795]
2795,82 unequal: No Solution
Exploring Operation: 65-43=22, Resulting Numbers: [22]
22,82 unequal: No Solution
Exploring Operation: 43+65=108, Resulting Numbers: [108]
108,82 unequal: No Solution
Moving to Node #0,0,4
Current State: 82:[95, 73], Operations: ['68-38=30', '43+30=73']
Exploring Operation: 95+73=168, Resulting Numbers: [168]
168,82 unequal: No Solution
Exploring Operation: 95*73=6935, Resulting Numbers: [6935]
6935,82 unequal: No Solution
Exploring Operation: 95-73=22, Resulting Numbers: [22]
22,82 unequal: No Solution
Moving to Node #0,0,3
Current State: 82:[30, 52], Operations: ['68-38=30', '95-43=52']
Exploring Operation: 52-30=22, Resulting Numbers: [22]
22,82 unequal: No Solution
Exploring Operation: 30+52=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[68, 43, 38, 95], Operations: []
Exploring Operation: 68-38=30, Resulting Numbers: [43, 95, 30]
Generated Node #0,0: 82:[43, 95, 30] Operation: 68-38=30
Moving to Node #0,0
Current State: 82:[43, 95, 30], Operations: ['68-38=30']
Exploring Operation: 95-43=52, Resulting Numbers: [30, 52]
Generated Node #0,0,3: 82:[30, 52] Operation: 95-43=52
Moving to Node #0,0,3
Current State: 82:[30, 52], Operations: ['68-38=30', '95-43=52']
Exploring Operation: 30+52=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.962674 | hs_5 | mult_heuristic |
[
19,
12,
25,
23
] | 15 | [
"25+23=48",
"48/12=4",
"19-4=15"
] | Current State: 15:[19, 12, 25, 23], Operations: []
Exploring Operation: 25+23=48, Resulting Numbers: [19, 12, 48]
Generated Node #2: [19, 12, 48] from Operation: 25+23=48
Current State: 15:[19, 12, 48], Operations: ['25+23=48']
Exploring Operation: 48/12=4, Resulting Numbers: [19, 4]
Generated Node #3: [19, 4] from Operation: 48/12=4
Current State: 15:[19, 4], Operations: ['25+23=48', '48/12=4']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[19, 12, 25, 23], Operations: []
Exploring Operation: 23-19=4, Resulting Numbers: [12, 25, 4]
Generated Node #0,0: 15:[12, 25, 4] Operation: 23-19=4
Exploring Operation: 25-19=6, Resulting Numbers: [12, 23, 6]
Generated Node #0,1: 15:[12, 23, 6] Operation: 25-19=6
Exploring Operation: 25-23=2, Resulting Numbers: [19, 12, 2]
Generated Node #0,2: 15:[19, 12, 2] Operation: 25-23=2
Exploring Operation: 25-12=13, Resulting Numbers: [19, 23, 13]
Generated Node #0,3: 15:[19, 23, 13] Operation: 25-12=13
Start Sub Search at level 1: Moving to Node #0,2
Current State: 15:[19, 12, 2], Operations: ['25-23=2']
Exploring Operation: 12/2=6, Resulting Numbers: [19, 6]
Generated Node #0,2,0: 15:[19, 6] Operation: 12/2=6
Exploring Operation: 19-2=17, Resulting Numbers: [12, 17]
Generated Node #0,2,1: 15:[12, 17] Operation: 19-2=17
Exploring Operation: 19-12=7, Resulting Numbers: [2, 7]
Generated Node #0,2,2: 15:[2, 7] Operation: 19-12=7
Exploring Operation: 12+2=14, Resulting Numbers: [19, 14]
Generated Node #0,2,3: 15:[19, 14] Operation: 12+2=14
Moving to Node #0,2,2
Current State: 15:[2, 7], Operations: ['25-23=2', '19-12=7']
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,15 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Moving to Node #0,2,1
Current State: 15:[12, 17], Operations: ['25-23=2', '19-2=17']
Exploring Operation: 12*17=204, Resulting Numbers: [204]
204,15 unequal: No Solution
Exploring Operation: 17-12=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 12+17=29, Resulting Numbers: [29]
29,15 unequal: No Solution
Moving to Node #0,2,0
Current State: 15:[19, 6], Operations: ['25-23=2', '12/2=6']
Exploring Operation: 19+6=25, Resulting Numbers: [25]
25,15 unequal: No Solution
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,15 unequal: No Solution
Exploring Operation: 19*6=114, Resulting Numbers: [114]
114,15 unequal: No Solution
Moving to Node #0,2,3
Current State: 15:[19, 14], Operations: ['25-23=2', '12+2=14']
Exploring Operation: 19*14=266, Resulting Numbers: [266]
266,15 unequal: No Solution
Exploring Operation: 19+14=33, Resulting Numbers: [33]
33,15 unequal: No Solution
Exploring Operation: 19-14=5, Resulting Numbers: [5]
5,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[12, 23, 6], Operations: ['25-19=6']
Exploring Operation: 12/6=2, Resulting Numbers: [23, 2]
Generated Node #0,1,0: 15:[23, 2] Operation: 12/6=2
Exploring Operation: 23-6=17, Resulting Numbers: [12, 17]
Generated Node #0,1,1: 15:[12, 17] Operation: 23-6=17
Exploring Operation: 23-12=11, Resulting Numbers: [6, 11]
Generated Node #0,1,2: 15:[6, 11] Operation: 23-12=11
Exploring Operation: 12-6=6, Resulting Numbers: [23, 6]
Generated Node #0,1,3: 15:[23, 6] Operation: 12-6=6
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 15:[12, 17], Operations: ['25-19=6', '23-6=17']
Exploring Operation: 12*17=204, Resulting Numbers: [204]
204,15 unequal: No Solution
Exploring Operation: 17-12=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 12+17=29, Resulting Numbers: [29]
29,15 unequal: No Solution
No 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: 15:[6, 11], Operations: ['25-19=6', '23-12=11']
Exploring Operation: 6*11=66, Resulting Numbers: [66]
66,15 unequal: No Solution
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 6+11=17, Resulting Numbers: [17]
17,15 unequal: No Solution
No 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: 15:[23, 2], Operations: ['25-19=6', '12/6=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,15 unequal: No Solution
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,15 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,15 unequal: No Solution
No 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: 15:[23, 6], Operations: ['25-19=6', '12-6=6']
Exploring Operation: 23+6=29, Resulting Numbers: [29]
29,15 unequal: No Solution
Exploring Operation: 23*6=138, Resulting Numbers: [138]
138,15 unequal: No Solution
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,15 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: 15:[12, 25, 4], Operations: ['23-19=4']
Exploring Operation: 25-4=21, Resulting Numbers: [12, 21]
Generated Node #0,0,0: 15:[12, 21] Operation: 25-4=21
Exploring Operation: 25-12=13, Resulting Numbers: [4, 13]
Generated Node #0,0,1: 15:[4, 13] Operation: 25-12=13
Exploring Operation: 12/4=3, Resulting Numbers: [25, 3]
Generated Node #0,0,2: 15:[25, 3] Operation: 12/4=3
Exploring Operation: 12+4=16, Resulting Numbers: [25, 16]
Generated Node #0,0,3: 15:[25, 16] Operation: 12+4=16
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 15:[4, 13], Operations: ['23-19=4', '25-12=13']
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,15 unequal: No Solution
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,15 unequal: No Solution
Exploring Operation: 4+13=17, Resulting Numbers: [17]
17,15 unequal: No Solution
No 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: 15:[12, 21], Operations: ['23-19=4', '25-4=21']
Exploring Operation: 12+21=33, Resulting Numbers: [33]
33,15 unequal: No Solution
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,15 unequal: No Solution
Exploring Operation: 12*21=252, Resulting Numbers: [252]
252,15 unequal: No Solution
No 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: 15:[25, 3], Operations: ['23-19=4', '12/4=3']
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,15 unequal: No Solution
Exploring Operation: 25+3=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Exploring Operation: 25*3=75, Resulting Numbers: [75]
75,15 unequal: No Solution
No 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: 15:[25, 16], Operations: ['23-19=4', '12+4=16']
Exploring Operation: 25*16=400, Resulting Numbers: [400]
400,15 unequal: No Solution
Exploring Operation: 25-16=9, Resulting Numbers: [9]
9,15 unequal: No Solution
Exploring Operation: 25+16=41, Resulting Numbers: [41]
41,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 15:[19, 23, 13], Operations: ['25-12=13']
Exploring Operation: 23-19=4, Resulting Numbers: [13, 4]
Generated Node #0,3,0: 15:[13, 4] Operation: 23-19=4
Exploring Operation: 19-13=6, Resulting Numbers: [23, 6]
Generated Node #0,3,1: 15:[23, 6] Operation: 19-13=6
Exploring Operation: 23-13=10, Resulting Numbers: [19, 10]
Generated Node #0,3,2: 15:[19, 10] Operation: 23-13=10
Exploring Operation: 19+13=32, Resulting Numbers: [23, 32]
Generated Node #0,3,3: 15:[23, 32] Operation: 19+13=32
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 15:[13, 4], Operations: ['25-12=13', '23-19=4']
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,15 unequal: No Solution
Exploring Operation: 13+4=17, Resulting Numbers: [17]
17,15 unequal: No Solution
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,15 unequal: No Solution
No 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: 15:[23, 6], Operations: ['25-12=13', '19-13=6']
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,15 unequal: No Solution
Exploring Operation: 23*6=138, Resulting Numbers: [138]
138,15 unequal: No Solution
Exploring Operation: 23+6=29, Resulting Numbers: [29]
29,15 unequal: No Solution
No 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: 15:[19, 10], Operations: ['25-12=13', '23-13=10']
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,15 unequal: No Solution
Exploring Operation: 19+10=29, Resulting Numbers: [29]
29,15 unequal: No Solution
Exploring Operation: 19*10=190, Resulting Numbers: [190]
190,15 unequal: No Solution
No 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: 15:[23, 32], Operations: ['25-12=13', '19+13=32']
Exploring Operation: 32-23=9, Resulting Numbers: [9]
9,15 unequal: No Solution
Exploring Operation: 23+32=55, Resulting Numbers: [55]
55,15 unequal: No Solution
Exploring Operation: 23*32=736, Resulting Numbers: [736]
736,15 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 |
[
49,
56,
55,
87
] | 38 | [
"87-49=38",
"56-55=1",
"38*1=38"
] | Current State: 38:[49, 56, 55, 87], Operations: []
Exploring Operation: 87-49=38, Resulting Numbers: [56, 55, 38]
Generated Node #2: [56, 55, 38] from Operation: 87-49=38
Current State: 38:[56, 55, 38], Operations: ['87-49=38']
Exploring Operation: 56-55=1, Resulting Numbers: [38, 1]
Generated Node #3: [38, 1] from Operation: 56-55=1
Current State: 38:[38, 1], Operations: ['87-49=38', '56-55=1']
Exploring Operation: 38*1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[49, 56, 55, 87], Operations: []
Exploring Operation: 56-55=1, Resulting Numbers: [49, 87, 1]
Generated Node #0,0: 38:[49, 87, 1] Operation: 56-55=1
Exploring Operation: 87-55=32, Resulting Numbers: [49, 56, 32]
Generated Node #0,1: 38:[49, 56, 32] Operation: 87-55=32
Exploring Operation: 87-49=38, Resulting Numbers: [56, 55, 38]
Generated Node #0,2: 38:[56, 55, 38] Operation: 87-49=38
Exploring Operation: 87-56=31, Resulting Numbers: [49, 55, 31]
Generated Node #0,3: 38:[49, 55, 31] Operation: 87-56=31
Start Sub Search at level 1: Moving to Node #0,1
Current State: 38:[49, 56, 32], Operations: ['87-55=32']
Exploring Operation: 49+32=81, Resulting Numbers: [56, 81]
Generated Node #0,1,0: 38:[56, 81] Operation: 49+32=81
Exploring Operation: 49-32=17, Resulting Numbers: [56, 17]
Generated Node #0,1,1: 38:[56, 17] Operation: 49-32=17
Exploring Operation: 56-32=24, Resulting Numbers: [49, 24]
Generated Node #0,1,2: 38:[49, 24] Operation: 56-32=24
Exploring Operation: 56-49=7, Resulting Numbers: [32, 7]
Generated Node #0,1,3: 38:[32, 7] Operation: 56-49=7
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 38:[32, 7], Operations: ['87-55=32', '56-49=7']
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,38 unequal: No Solution
Exploring Operation: 32*7=224, Resulting Numbers: [224]
224,38 unequal: No Solution
Exploring Operation: 32+7=39, Resulting Numbers: [39]
39,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 38:[49, 24], Operations: ['87-55=32', '56-32=24']
Exploring Operation: 49-24=25, Resulting Numbers: [25]
25,38 unequal: No Solution
Exploring Operation: 49*24=1176, Resulting Numbers: [1176]
1176,38 unequal: No Solution
Exploring Operation: 49+24=73, Resulting Numbers: [73]
73,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 38:[56, 17], Operations: ['87-55=32', '49-32=17']
Exploring Operation: 56*17=952, Resulting Numbers: [952]
952,38 unequal: No Solution
Exploring Operation: 56-17=39, Resulting Numbers: [39]
39,38 unequal: No Solution
Exploring Operation: 56+17=73, Resulting Numbers: [73]
73,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 38:[56, 81], Operations: ['87-55=32', '49+32=81']
Exploring Operation: 81-56=25, Resulting Numbers: [25]
25,38 unequal: No Solution
Exploring Operation: 56*81=4536, Resulting Numbers: [4536]
4536,38 unequal: No Solution
Exploring Operation: 56+81=137, Resulting Numbers: [137]
137,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 38:[56, 55, 38], Operations: ['87-49=38']
Exploring Operation: 56-38=18, Resulting Numbers: [55, 18]
Generated Node #0,2,0: 38:[55, 18] Operation: 56-38=18
Exploring Operation: 56-55=1, Resulting Numbers: [38, 1]
Generated Node #0,2,1: 38:[38, 1] Operation: 56-55=1
Exploring Operation: 55-38=17, Resulting Numbers: [56, 17]
Generated Node #0,2,2: 38:[56, 17] Operation: 55-38=17
Exploring Operation: 56+55=111, Resulting Numbers: [38, 111]
Generated Node #0,2,3: 38:[38, 111] Operation: 56+55=111
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 38:[38, 1], Operations: ['87-49=38', '56-55=1']
Exploring Operation: 38*1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[49, 56, 55, 87], Operations: []
Exploring Operation: 87-49=38, Resulting Numbers: [56, 55, 38]
Generated Node #0,2: 38:[56, 55, 38] Operation: 87-49=38
Moving to Node #0,2
Current State: 38:[56, 55, 38], Operations: ['87-49=38']
Exploring Operation: 56-55=1, Resulting Numbers: [38, 1]
Generated Node #0,2,1: 38:[38, 1] Operation: 56-55=1
Moving to Node #0,2,1
Current State: 38:[38, 1], Operations: ['87-49=38', '56-55=1']
Exploring Operation: 38*1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.974826 | hs_4 | mult_heuristic |
[
81,
49,
69,
59
] | 42 | [
"81-49=32",
"69-59=10",
"32+10=42"
] | Current State: 42:[81, 49, 69, 59], Operations: []
Exploring Operation: 81-49=32, Resulting Numbers: [69, 59, 32]
Generated Node #2: [69, 59, 32] from Operation: 81-49=32
Current State: 42:[69, 59, 32], Operations: ['81-49=32']
Exploring Operation: 69-59=10, Resulting Numbers: [32, 10]
Generated Node #3: [32, 10] from Operation: 69-59=10
Current State: 42:[32, 10], Operations: ['81-49=32', '69-59=10']
Exploring Operation: 32+10=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[81, 49, 69, 59], Operations: []
Exploring Operation: 81-69=12, Resulting Numbers: [49, 59, 12]
Generated Node #0,0: 42:[49, 59, 12] Operation: 81-69=12
Exploring Operation: 69-49=20, Resulting Numbers: [81, 59, 20]
Generated Node #0,1: 42:[81, 59, 20] Operation: 69-49=20
Exploring Operation: 81-59=22, Resulting Numbers: [49, 69, 22]
Generated Node #0,2: 42:[49, 69, 22] Operation: 81-59=22
Exploring Operation: 81-49=32, Resulting Numbers: [69, 59, 32]
Generated Node #0,3: 42:[69, 59, 32] Operation: 81-49=32
Exploring Operation: 69-59=10, Resulting Numbers: [81, 49, 10]
Generated Node #0,4: 42:[81, 49, 10] Operation: 69-59=10
Moving to Node #0,0
Current State: 42:[49, 59, 12], Operations: ['81-69=12']
Exploring Operation: 59+12=71, Resulting Numbers: [49, 71]
Generated Node #0,0,0: 42:[49, 71] Operation: 59+12=71
Exploring Operation: 49-12=37, Resulting Numbers: [59, 37]
Generated Node #0,0,1: 42:[59, 37] Operation: 49-12=37
Exploring Operation: 59-12=47, Resulting Numbers: [49, 47]
Generated Node #0,0,2: 42:[49, 47] Operation: 59-12=47
Exploring Operation: 59-49=10, Resulting Numbers: [12, 10]
Generated Node #0,0,3: 42:[12, 10] Operation: 59-49=10
Exploring Operation: 49+12=61, Resulting Numbers: [59, 61]
Generated Node #0,0,4: 42:[59, 61] Operation: 49+12=61
Moving to Node #0,2
Current State: 42:[49, 69, 22], Operations: ['81-59=22']
Exploring Operation: 69+22=91, Resulting Numbers: [49, 91]
Generated Node #0,2,0: 42:[49, 91] Operation: 69+22=91
Exploring Operation: 49-22=27, Resulting Numbers: [69, 27]
Generated Node #0,2,1: 42:[69, 27] Operation: 49-22=27
Exploring Operation: 69-49=20, Resulting Numbers: [22, 20]
Generated Node #0,2,2: 42:[22, 20] Operation: 69-49=20
Exploring Operation: 69-22=47, Resulting Numbers: [49, 47]
Generated Node #0,2,3: 42:[49, 47] Operation: 69-22=47
Exploring Operation: 49+22=71, Resulting Numbers: [69, 71]
Generated Node #0,2,4: 42:[69, 71] Operation: 49+22=71
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 42:[22, 20], Operations: ['81-59=22', '69-49=20']
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,42 unequal: No Solution
Exploring Operation: 22+20=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[81, 49, 69, 59], Operations: []
Exploring Operation: 81-59=22, Resulting Numbers: [49, 69, 22]
Generated Node #0,2: 42:[49, 69, 22] Operation: 81-59=22
Moving to Node #0,2
Current State: 42:[49, 69, 22], Operations: ['81-59=22']
Exploring Operation: 69-49=20, Resulting Numbers: [22, 20]
Generated Node #0,2,2: 42:[22, 20] Operation: 69-49=20
Moving to Node #0,2,2
Current State: 42:[22, 20], Operations: ['81-59=22', '69-49=20']
Exploring Operation: 22+20=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | sum_heuristic |
[
9,
22,
4,
20
] | 14 | [
"22-20=2",
"9*2=18",
"18-4=14"
] | Current State: 14:[9, 22, 4, 20], Operations: []
Exploring Operation: 22-20=2, Resulting Numbers: [9, 4, 2]
Generated Node #2: [9, 4, 2] from Operation: 22-20=2
Current State: 14:[9, 4, 2], Operations: ['22-20=2']
Exploring Operation: 9*2=18, Resulting Numbers: [4, 18]
Generated Node #3: [4, 18] from Operation: 9*2=18
Current State: 14:[4, 18], Operations: ['22-20=2', '9*2=18']
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[9, 22, 4, 20], Operations: []
Exploring Operation: 22-4=18, Resulting Numbers: [9, 20, 18]
Generated Node #0,0: 14:[9, 20, 18] Operation: 22-4=18
Exploring Operation: 22-9=13, Resulting Numbers: [4, 20, 13]
Generated Node #0,1: 14:[4, 20, 13] Operation: 22-9=13
Exploring Operation: 22-20=2, Resulting Numbers: [9, 4, 2]
Generated Node #0,2: 14:[9, 4, 2] Operation: 22-20=2
Start Sub Search at level 1: Moving to Node #0,2
Current State: 14:[9, 4, 2], Operations: ['22-20=2']
Exploring Operation: 9-4=5, Resulting Numbers: [2, 5]
Generated Node #0,2,0: 14:[2, 5] Operation: 9-4=5
Exploring Operation: 9-2=7, Resulting Numbers: [4, 7]
Generated Node #0,2,1: 14:[4, 7] Operation: 9-2=7
Exploring Operation: 9+4=13, Resulting Numbers: [2, 13]
Generated Node #0,2,2: 14:[2, 13] Operation: 9+4=13
Moving to Node #0,2,2
Current State: 14:[2, 13], Operations: ['22-20=2', '9+4=13']
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,14 unequal: No Solution
Exploring Operation: 2+13=15, Resulting Numbers: [15]
15,14 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Moving to Node #0,2,0
Current State: 14:[2, 5], Operations: ['22-20=2', '9-4=5']
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,14 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,14 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,14 unequal: No Solution
Moving to Node #0,2,1
Current State: 14:[4, 7], Operations: ['22-20=2', '9-2=7']
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,14 unequal: No Solution
Exploring Operation: 4+7=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 14:[4, 20, 13], Operations: ['22-9=13']
Exploring Operation: 20/4=5, Resulting Numbers: [13, 5]
Generated Node #0,1,0: 14:[13, 5] Operation: 20/4=5
Exploring Operation: 20-4=16, Resulting Numbers: [13, 16]
Generated Node #0,1,1: 14:[13, 16] Operation: 20-4=16
Exploring Operation: 20-13=7, Resulting Numbers: [4, 7]
Generated Node #0,1,2: 14:[4, 7] Operation: 20-13=7
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 14:[4, 7], Operations: ['22-9=13', '20-13=7']
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,14 unequal: No Solution
Exploring Operation: 4+7=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 14:[13, 5], Operations: ['22-9=13', '20/4=5']
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,14 unequal: No Solution
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Exploring Operation: 13+5=18, Resulting Numbers: [18]
18,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 14:[13, 16], Operations: ['22-9=13', '20-4=16']
Exploring Operation: 13+16=29, Resulting Numbers: [29]
29,14 unequal: No Solution
Exploring Operation: 16-13=3, Resulting Numbers: [3]
3,14 unequal: No Solution
Exploring Operation: 13*16=208, Resulting Numbers: [208]
208,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[9, 20, 18], Operations: ['22-4=18']
Exploring Operation: 20-9=11, Resulting Numbers: [18, 11]
Generated Node #0,0,0: 14:[18, 11] Operation: 20-9=11
Exploring Operation: 18/9=2, Resulting Numbers: [20, 2]
Generated Node #0,0,1: 14:[20, 2] Operation: 18/9=2
Exploring Operation: 20-18=2, Resulting Numbers: [9, 2]
Generated Node #0,0,2: 14:[9, 2] Operation: 20-18=2
Moving to Node #0,0,2
Current State: 14:[9, 2], Operations: ['22-4=18', '20-18=2']
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,14 unequal: No Solution
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,14 unequal: No Solution
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Moving to Node #0,0,1
Current State: 14:[20, 2], Operations: ['22-4=18', '18/9=2']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,14 unequal: No Solution
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,14 unequal: No Solution
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,14 unequal: No Solution
Moving to Node #0,0,0
Current State: 14:[18, 11], Operations: ['22-4=18', '20-9=11']
Exploring Operation: 18+11=29, Resulting Numbers: [29]
29,14 unequal: No Solution
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,14 unequal: No Solution
Exploring Operation: 18*11=198, Resulting Numbers: [198]
198,14 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 |
[
66,
78,
84,
9
] | 68 | [
"66+78=144",
"144/9=16",
"84-16=68"
] | Current State: 68:[66, 78, 84, 9], Operations: []
Exploring Operation: 66+78=144, Resulting Numbers: [84, 9, 144]
Generated Node #2: [84, 9, 144] from Operation: 66+78=144
Current State: 68:[84, 9, 144], Operations: ['66+78=144']
Exploring Operation: 144/9=16, Resulting Numbers: [84, 16]
Generated Node #3: [84, 16] from Operation: 144/9=16
Current State: 68:[84, 16], Operations: ['66+78=144', '144/9=16']
Exploring Operation: 84-16=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[66, 78, 84, 9], Operations: []
Exploring Operation: 84-78=6, Resulting Numbers: [66, 9, 6]
Generated Node #0,0: 68:[66, 9, 6] Operation: 84-78=6
Exploring Operation: 84-66=18, Resulting Numbers: [78, 9, 18]
Generated Node #0,1: 68:[78, 9, 18] Operation: 84-66=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[66, 9, 6], Operations: ['84-78=6']
Exploring Operation: 9+6=15, Resulting Numbers: [66, 15]
Generated Node #0,0,0: 68:[66, 15] Operation: 9+6=15
Exploring Operation: 9-6=3, Resulting Numbers: [66, 3]
Generated Node #0,0,1: 68:[66, 3] Operation: 9-6=3
Moving to Node #0,0,1
Current State: 68:[66, 3], Operations: ['84-78=6', '9-6=3']
Exploring Operation: 66+3=69, Resulting Numbers: [69]
69,68 unequal: No Solution
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,68 unequal: No Solution
Moving to Node #0,0,0
Current State: 68:[66, 15], Operations: ['84-78=6', '9+6=15']
Exploring Operation: 66+15=81, Resulting Numbers: [81]
81,68 unequal: No Solution
Exploring Operation: 66-15=51, Resulting Numbers: [51]
51,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 68:[78, 9, 18], Operations: ['84-66=18']
Exploring Operation: 78-9=69, Resulting Numbers: [18, 69]
Generated Node #0,1,0: 68:[18, 69] Operation: 78-9=69
Exploring Operation: 18/9=2, Resulting Numbers: [78, 2]
Generated Node #0,1,1: 68:[78, 2] Operation: 18/9=2
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 68:[18, 69], Operations: ['84-66=18', '78-9=69']
Exploring Operation: 69-18=51, Resulting Numbers: [51]
51,68 unequal: No Solution
Exploring Operation: 18+69=87, Resulting Numbers: [87]
87,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 68:[78, 2], Operations: ['84-66=18', '18/9=2']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,68 unequal: No Solution
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
96,
55,
22,
97
] | 34 | [
"96-55=41",
"97-22=75",
"75-41=34"
] | Current State: 34:[96, 55, 22, 97], Operations: []
Exploring Operation: 96-55=41, Resulting Numbers: [22, 97, 41]
Generated Node #2: [22, 97, 41] from Operation: 96-55=41
Current State: 34:[22, 97, 41], Operations: ['96-55=41']
Exploring Operation: 97-22=75, Resulting Numbers: [41, 75]
Generated Node #3: [41, 75] from Operation: 97-22=75
Current State: 34:[41, 75], Operations: ['96-55=41', '97-22=75']
Exploring Operation: 75-41=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[96, 55, 22, 97], Operations: []
Exploring Operation: 96-55=41, Resulting Numbers: [22, 97, 41]
Generated Node #0,0: 34:[22, 97, 41] Operation: 96-55=41
Exploring Operation: 97-96=1, Resulting Numbers: [55, 22, 1]
Generated Node #0,1: 34:[55, 22, 1] Operation: 97-96=1
Exploring Operation: 97-55=42, Resulting Numbers: [96, 22, 42]
Generated Node #0,2: 34:[96, 22, 42] Operation: 97-55=42
Exploring Operation: 96-22=74, Resulting Numbers: [55, 97, 74]
Generated Node #0,3: 34:[55, 97, 74] Operation: 96-22=74
Moving to Node #0,1
Current State: 34:[55, 22, 1], Operations: ['97-96=1']
Exploring Operation: 22-1=21, Resulting Numbers: [55, 21]
Generated Node #0,1,0: 34:[55, 21] Operation: 22-1=21
Exploring Operation: 55-22=33, Resulting Numbers: [1, 33]
Generated Node #0,1,1: 34:[1, 33] Operation: 55-22=33
Exploring Operation: 55*1=55, Resulting Numbers: [22, 55]
Generated Node #0,1,2: 34:[22, 55] Operation: 55*1=55
Exploring Operation: 55-1=54, Resulting Numbers: [22, 54]
Generated Node #0,1,3: 34:[22, 54] Operation: 55-1=54
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 34:[1, 33], Operations: ['97-96=1', '55-22=33']
Exploring Operation: 33-1=32, Resulting Numbers: [32]
32,34 unequal: No Solution
Exploring Operation: 1*33=33, Resulting Numbers: [33]
33,34 unequal: No Solution
Exploring Operation: 1+33=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[96, 55, 22, 97], Operations: []
Exploring Operation: 97-96=1, Resulting Numbers: [55, 22, 1]
Generated Node #0,1: 34:[55, 22, 1] Operation: 97-96=1
Moving to Node #0,1
Current State: 34:[55, 22, 1], Operations: ['97-96=1']
Exploring Operation: 55-22=33, Resulting Numbers: [1, 33]
Generated Node #0,1,1: 34:[1, 33] Operation: 55-22=33
Moving to Node #0,1,1
Current State: 34:[1, 33], Operations: ['97-96=1', '55-22=33']
Exploring Operation: 1+33=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
10,
96,
2,
66
] | 26 | [
"10+96=106",
"2*66=132",
"132-106=26"
] | Current State: 26:[10, 96, 2, 66], Operations: []
Exploring Operation: 10+96=106, Resulting Numbers: [2, 66, 106]
Generated Node #2: [2, 66, 106] from Operation: 10+96=106
Current State: 26:[2, 66, 106], Operations: ['10+96=106']
Exploring Operation: 2*66=132, Resulting Numbers: [106, 132]
Generated Node #3: [106, 132] from Operation: 2*66=132
Current State: 26:[106, 132], Operations: ['10+96=106', '2*66=132']
Exploring Operation: 132-106=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[10, 96, 2, 66], Operations: []
Exploring Operation: 96/2=48, Resulting Numbers: [10, 66, 48]
Generated Node #0,0: 26:[10, 66, 48] Operation: 96/2=48
Exploring Operation: 96-66=30, Resulting Numbers: [10, 2, 30]
Generated Node #0,1: 26:[10, 2, 30] Operation: 96-66=30
Moving to Node #0,1
Current State: 26:[10, 2, 30], Operations: ['96-66=30']
Exploring Operation: 30/10=3, Resulting Numbers: [2, 3]
Generated Node #0,1,0: 26:[2, 3] Operation: 30/10=3
Exploring Operation: 10+2=12, Resulting Numbers: [30, 12]
Generated Node #0,1,1: 26:[30, 12] Operation: 10+2=12
Moving to Node #0,0
Current State: 26:[10, 66, 48], Operations: ['96/2=48']
Exploring Operation: 66-48=18, Resulting Numbers: [10, 18]
Generated Node #0,0,0: 26:[10, 18] Operation: 66-48=18
Exploring Operation: 66-10=56, Resulting Numbers: [48, 56]
Generated Node #0,0,1: 26:[48, 56] Operation: 66-10=56
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 26:[10, 18], Operations: ['96/2=48', '66-48=18']
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,26 unequal: No Solution
Exploring Operation: 10+18=28, Resulting Numbers: [28]
28,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 26:[48, 56], Operations: ['96/2=48', '66-10=56']
Exploring Operation: 56-48=8, Resulting Numbers: [8]
8,26 unequal: No Solution
Exploring Operation: 48+56=104, Resulting Numbers: [104]
104,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 26:[2, 3], Operations: ['96-66=30', '30/10=3']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,26 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,26 unequal: No Solution
Moving to Node #0,1,1
Current State: 26:[30, 12], Operations: ['96-66=30', '10+2=12']
Exploring Operation: 30-12=18, Resulting Numbers: [18]
18,26 unequal: No Solution
Exploring Operation: 30+12=42, Resulting Numbers: [42]
42,26 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
88,
52,
39,
90
] | 87 | [
"88-52=36",
"90-39=51",
"36+51=87"
] | Current State: 87:[88, 52, 39, 90], Operations: []
Exploring Operation: 88-52=36, Resulting Numbers: [39, 90, 36]
Generated Node #2: [39, 90, 36] from Operation: 88-52=36
Current State: 87:[39, 90, 36], Operations: ['88-52=36']
Exploring Operation: 90-39=51, Resulting Numbers: [36, 51]
Generated Node #3: [36, 51] from Operation: 90-39=51
Current State: 87:[36, 51], Operations: ['88-52=36', '90-39=51']
Exploring Operation: 36+51=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[88, 52, 39, 90], Operations: []
Exploring Operation: 52+39=91, Resulting Numbers: [88, 90, 91]
Generated Node #0,0: 87:[88, 90, 91] Operation: 52+39=91
Exploring Operation: 52-39=13, Resulting Numbers: [88, 90, 13]
Generated Node #0,1: 87:[88, 90, 13] Operation: 52-39=13
Moving to Node #0,0
Current State: 87:[88, 90, 91], Operations: ['52+39=91']
Exploring Operation: 91-88=3, Resulting Numbers: [90, 3]
Generated Node #0,0,0: 87:[90, 3] Operation: 91-88=3
Exploring Operation: 91-90=1, Resulting Numbers: [88, 1]
Generated Node #0,0,1: 87:[88, 1] Operation: 91-90=1
Moving to Node #0,1
Current State: 87:[88, 90, 13], Operations: ['52-39=13']
Exploring Operation: 90-88=2, Resulting Numbers: [13, 2]
Generated Node #0,1,0: 87:[13, 2] Operation: 90-88=2
Exploring Operation: 90-13=77, Resulting Numbers: [88, 77]
Generated Node #0,1,1: 87:[88, 77] Operation: 90-13=77
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 87:[13, 2], Operations: ['52-39=13', '90-88=2']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,87 unequal: No Solution
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 87:[88, 77], Operations: ['52-39=13', '90-13=77']
Exploring Operation: 88+77=165, Resulting Numbers: [165]
165,87 unequal: No Solution
Exploring Operation: 88-77=11, Resulting Numbers: [11]
11,87 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: 87:[90, 3], Operations: ['52+39=91', '91-88=3']
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[88, 52, 39, 90], Operations: []
Exploring Operation: 52+39=91, Resulting Numbers: [88, 90, 91]
Generated Node #0,0: 87:[88, 90, 91] Operation: 52+39=91
Moving to Node #0,0
Current State: 87:[88, 90, 91], Operations: ['52+39=91']
Exploring Operation: 91-88=3, Resulting Numbers: [90, 3]
Generated Node #0,0,0: 87:[90, 3] Operation: 91-88=3
Moving to Node #0,0,0
Current State: 87:[90, 3], Operations: ['52+39=91', '91-88=3']
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 0.986979 | hs_2 | mult_heuristic |
[
20,
48,
72,
25
] | 96 | [
"48+72=120",
"20*120=2400",
"2400/25=96"
] | Current State: 96:[20, 48, 72, 25], Operations: []
Exploring Operation: 48+72=120, Resulting Numbers: [20, 25, 120]
Generated Node #2: [20, 25, 120] from Operation: 48+72=120
Current State: 96:[20, 25, 120], Operations: ['48+72=120']
Exploring Operation: 20*120=2400, Resulting Numbers: [25, 2400]
Generated Node #3: [25, 2400] from Operation: 20*120=2400
Current State: 96:[25, 2400], Operations: ['48+72=120', '20*120=2400']
Exploring Operation: 2400/25=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[20, 48, 72, 25], Operations: []
Exploring Operation: 20+72=92, Resulting Numbers: [48, 25, 92]
Generated Node #0,0: 96:[48, 25, 92] Operation: 20+72=92
Exploring Operation: 72-20=52, Resulting Numbers: [48, 25, 52]
Generated Node #0,1: 96:[48, 25, 52] Operation: 72-20=52
Exploring Operation: 72-25=47, Resulting Numbers: [20, 48, 47]
Generated Node #0,2: 96:[20, 48, 47] Operation: 72-25=47
Exploring Operation: 72-48=24, Resulting Numbers: [20, 25, 24]
Generated Node #0,3: 96:[20, 25, 24] Operation: 72-48=24
Exploring Operation: 72+25=97, Resulting Numbers: [20, 48, 97]
Generated Node #0,4: 96:[20, 48, 97] Operation: 72+25=97
Moving to Node #0,0
Current State: 96:[48, 25, 92], Operations: ['20+72=92']
Exploring Operation: 92-48=44, Resulting Numbers: [25, 44]
Generated Node #0,0,0: 96:[25, 44] Operation: 92-48=44
Exploring Operation: 25+92=117, Resulting Numbers: [48, 117]
Generated Node #0,0,1: 96:[48, 117] Operation: 25+92=117
Exploring Operation: 92-25=67, Resulting Numbers: [48, 67]
Generated Node #0,0,2: 96:[48, 67] Operation: 92-25=67
Exploring Operation: 48-25=23, Resulting Numbers: [92, 23]
Generated Node #0,0,3: 96:[92, 23] Operation: 48-25=23
Exploring Operation: 48+25=73, Resulting Numbers: [92, 73]
Generated Node #0,0,4: 96:[92, 73] Operation: 48+25=73
Moving to Node #0,2
Current State: 96:[20, 48, 47], Operations: ['72-25=47']
Exploring Operation: 20+47=67, Resulting Numbers: [48, 67]
Generated Node #0,2,0: 96:[48, 67] Operation: 20+47=67
Exploring Operation: 48+47=95, Resulting Numbers: [20, 95]
Generated Node #0,2,1: 96:[20, 95] Operation: 48+47=95
Exploring Operation: 47-20=27, Resulting Numbers: [48, 27]
Generated Node #0,2,2: 96:[48, 27] Operation: 47-20=27
Exploring Operation: 48-47=1, Resulting Numbers: [20, 1]
Generated Node #0,2,3: 96:[20, 1] Operation: 48-47=1
Exploring Operation: 48-20=28, Resulting Numbers: [47, 28]
Generated Node #0,2,4: 96:[47, 28] Operation: 48-20=28
Moving to Node #0,4
Current State: 96:[20, 48, 97], Operations: ['72+25=97']
Exploring Operation: 20+97=117, Resulting Numbers: [48, 117]
Generated Node #0,4,0: 96:[48, 117] Operation: 20+97=117
Exploring Operation: 97-48=49, Resulting Numbers: [20, 49]
Generated Node #0,4,1: 96:[20, 49] Operation: 97-48=49
Exploring Operation: 48-20=28, Resulting Numbers: [97, 28]
Generated Node #0,4,2: 96:[97, 28] Operation: 48-20=28
Exploring Operation: 97-20=77, Resulting Numbers: [48, 77]
Generated Node #0,4,3: 96:[48, 77] Operation: 97-20=77
Exploring Operation: 20+48=68, Resulting Numbers: [97, 68]
Generated Node #0,4,4: 96:[97, 68] Operation: 20+48=68
Moving to Node #0,1
Current State: 96:[48, 25, 52], Operations: ['72-20=52']
Exploring Operation: 25+52=77, Resulting Numbers: [48, 77]
Generated Node #0,1,0: 96:[48, 77] Operation: 25+52=77
Exploring Operation: 48-25=23, Resulting Numbers: [52, 23]
Generated Node #0,1,1: 96:[52, 23] Operation: 48-25=23
Exploring Operation: 52-25=27, Resulting Numbers: [48, 27]
Generated Node #0,1,2: 96:[48, 27] Operation: 52-25=27
Exploring Operation: 48+52=100, Resulting Numbers: [25, 100]
Generated Node #0,1,3: 96:[25, 100] Operation: 48+52=100
Exploring Operation: 52-48=4, Resulting Numbers: [25, 4]
Generated Node #0,1,4: 96:[25, 4] Operation: 52-48=4
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 96:[25, 4], Operations: ['72-20=52', '52-48=4']
Exploring Operation: 25+4=29, Resulting Numbers: [29]
29,96 unequal: No Solution
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,96 unequal: No Solution
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 96:[48, 27], Operations: ['72-20=52', '52-25=27']
Exploring Operation: 48-27=21, Resulting Numbers: [21]
21,96 unequal: No Solution
Exploring Operation: 48*27=1296, Resulting Numbers: [1296]
1296,96 unequal: No Solution
Exploring Operation: 48+27=75, Resulting Numbers: [75]
75,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 96:[52, 23], Operations: ['72-20=52', '48-25=23']
Exploring Operation: 52-23=29, Resulting Numbers: [29]
29,96 unequal: No Solution
Exploring Operation: 52*23=1196, Resulting Numbers: [1196]
1196,96 unequal: No Solution
Exploring Operation: 52+23=75, Resulting Numbers: [75]
75,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 96:[25, 100], Operations: ['72-20=52', '48+52=100']
Exploring Operation: 25+100=125, Resulting Numbers: [125]
125,96 unequal: No Solution
Exploring Operation: 100-25=75, Resulting Numbers: [75]
75,96 unequal: No Solution
Exploring Operation: 100/25=4, Resulting Numbers: [4]
4,96 unequal: No Solution
Exploring Operation: 25*100=2500, Resulting Numbers: [2500]
2500,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 96:[48, 77], Operations: ['72-20=52', '25+52=77']
Exploring Operation: 48*77=3696, Resulting Numbers: [3696]
3696,96 unequal: No Solution
Exploring Operation: 48+77=125, Resulting Numbers: [125]
125,96 unequal: No Solution
Exploring Operation: 77-48=29, Resulting Numbers: [29]
29,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 96:[20, 25, 24], Operations: ['72-48=24']
Exploring Operation: 25-20=5, Resulting Numbers: [24, 5]
Generated Node #0,3,0: 96:[24, 5] Operation: 25-20=5
Exploring Operation: 24-20=4, Resulting Numbers: [25, 4]
Generated Node #0,3,1: 96:[25, 4] Operation: 24-20=4
Exploring Operation: 20+24=44, Resulting Numbers: [25, 44]
Generated Node #0,3,2: 96:[25, 44] Operation: 20+24=44
Exploring Operation: 25+24=49, Resulting Numbers: [20, 49]
Generated Node #0,3,3: 96:[20, 49] Operation: 25+24=49
Exploring Operation: 20+25=45, Resulting Numbers: [24, 45]
Generated Node #0,3,4: 96:[24, 45] Operation: 20+25=45
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 96:[24, 5], Operations: ['72-48=24', '25-20=5']
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,96 unequal: No Solution
Exploring Operation: 24*5=120, Resulting Numbers: [120]
120,96 unequal: No Solution
Exploring Operation: 24+5=29, Resulting Numbers: [29]
29,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 96:[25, 4], Operations: ['72-48=24', '24-20=4']
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,96 unequal: No Solution
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,96 unequal: No Solution
Exploring Operation: 25+4=29, Resulting Numbers: [29]
29,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 96:[24, 45], Operations: ['72-48=24', '20+25=45']
Exploring Operation: 24+45=69, Resulting Numbers: [69]
69,96 unequal: No Solution
Exploring Operation: 45-24=21, Resulting Numbers: [21]
21,96 unequal: No Solution
Exploring Operation: 24*45=1080, Resulting Numbers: [1080]
1080,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 96:[25, 44], Operations: ['72-48=24', '20+24=44']
Exploring Operation: 25+44=69, Resulting Numbers: [69]
69,96 unequal: No Solution
Exploring Operation: 25*44=1100, Resulting Numbers: [1100]
1100,96 unequal: No Solution
Exploring Operation: 44-25=19, Resulting Numbers: [19]
19,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 96:[20, 49], Operations: ['72-48=24', '25+24=49']
Exploring Operation: 20*49=980, Resulting Numbers: [980]
980,96 unequal: No Solution
Exploring Operation: 20+49=69, Resulting Numbers: [69]
69,96 unequal: No Solution
Exploring Operation: 49-20=29, Resulting Numbers: [29]
29,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 96:[48, 27], Operations: ['72-25=47', '47-20=27']
Exploring Operation: 48*27=1296, Resulting Numbers: [1296]
1296,96 unequal: No Solution
Exploring Operation: 48-27=21, Resulting Numbers: [21]
21,96 unequal: No Solution
Exploring Operation: 48+27=75, Resulting Numbers: [75]
75,96 unequal: No Solution
Moving to Node #0,0,0
Current State: 96:[25, 44], Operations: ['20+72=92', '92-48=44']
Exploring Operation: 25*44=1100, Resulting Numbers: [1100]
1100,96 unequal: No Solution
Exploring Operation: 25+44=69, Resulting Numbers: [69]
69,96 unequal: No Solution
Exploring Operation: 44-25=19, Resulting Numbers: [19]
19,96 unequal: No Solution
Moving to Node #0,2,1
Current State: 96:[20, 95], Operations: ['72-25=47', '48+47=95']
Exploring Operation: 20*95=1900, Resulting Numbers: [1900]
1900,96 unequal: No Solution
Exploring Operation: 95-20=75, Resulting Numbers: [75]
75,96 unequal: No Solution
Exploring Operation: 20+95=115, Resulting Numbers: [115]
115,96 unequal: No Solution
Moving to Node #0,4,2
Current State: 96:[97, 28], Operations: ['72+25=97', '48-20=28']
Exploring Operation: 97*28=2716, Resulting Numbers: [2716]
2716,96 unequal: No Solution
Exploring Operation: 97+28=125, Resulting Numbers: [125]
125,96 unequal: No Solution
Exploring Operation: 97-28=69, Resulting Numbers: [69]
69,96 unequal: No Solution
Moving to Node #0,0,3
Current State: 96:[92, 23], Operations: ['20+72=92', '48-25=23']
Exploring Operation: 92+23=115, Resulting Numbers: [115]
115,96 unequal: No Solution
Exploring Operation: 92/23=4, Resulting Numbers: [4]
4,96 unequal: No Solution
Exploring Operation: 92-23=69, Resulting Numbers: [69]
69,96 unequal: No Solution
Exploring Operation: 92*23=2116, Resulting Numbers: [2116]
2116,96 unequal: No Solution
Moving to Node #0,4,1
Current State: 96:[20, 49], Operations: ['72+25=97', '97-48=49']
Exploring Operation: 20+49=69, Resulting Numbers: [69]
69,96 unequal: No Solution
Exploring Operation: 49-20=29, Resulting Numbers: [29]
29,96 unequal: No Solution
Exploring Operation: 20*49=980, Resulting Numbers: [980]
980,96 unequal: No Solution
Moving to Node #0,2,3
Current State: 96:[20, 1], Operations: ['72-25=47', '48-47=1']
Exploring Operation: 20+1=21, Resulting Numbers: [21]
21,96 unequal: No Solution
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,96 unequal: No Solution
Exploring Operation: 20*1=20, Resulting Numbers: [20]
20,96 unequal: No Solution
Exploring Operation: 20/1=20, Resulting Numbers: [20]
20,96 unequal: No Solution
Moving to Node #0,2,4
Current State: 96:[47, 28], Operations: ['72-25=47', '48-20=28']
Exploring Operation: 47-28=19, Resulting Numbers: [19]
19,96 unequal: No Solution
Exploring Operation: 47*28=1316, Resulting Numbers: [1316]
1316,96 unequal: No Solution
Exploring Operation: 47+28=75, Resulting Numbers: [75]
75,96 unequal: No Solution
Moving to Node #0,4,3
Current State: 96:[48, 77], Operations: ['72+25=97', '97-20=77']
Exploring Operation: 48+77=125, Resulting Numbers: [125]
125,96 unequal: No Solution
Exploring Operation: 77-48=29, Resulting Numbers: [29]
29,96 unequal: No Solution
Exploring Operation: 48*77=3696, Resulting Numbers: [3696]
3696,96 unequal: No Solution
Moving to Node #0,0,2
Current State: 96:[48, 67], Operations: ['20+72=92', '92-25=67']
Exploring Operation: 48+67=115, Resulting Numbers: [115]
115,96 unequal: No Solution
Exploring Operation: 67-48=19, Resulting Numbers: [19]
19,96 unequal: No Solution
Exploring Operation: 48*67=3216, Resulting Numbers: [3216]
3216,96 unequal: No Solution
Moving to Node #0,2,0
Current State: 96:[48, 67], Operations: ['72-25=47', '20+47=67']
Exploring Operation: 48+67=115, Resulting Numbers: [115]
115,96 unequal: No Solution
Exploring Operation: 48*67=3216, Resulting Numbers: [3216]
3216,96 unequal: No Solution
Exploring Operation: 67-48=19, Resulting Numbers: [19]
19,96 unequal: No Solution
Moving to Node #0,0,1
Current State: 96:[48, 117], Operations: ['20+72=92', '25+92=117']
Exploring Operation: 117-48=69, Resulting Numbers: [69]
69,96 unequal: No Solution
Exploring Operation: 48+117=165, Resulting Numbers: [165]
165,96 unequal: No Solution
Exploring Operation: 48*117=5616, Resulting Numbers: [5616]
5616,96 unequal: No Solution
Moving to Node #0,4,4
Current State: 96:[97, 68], Operations: ['72+25=97', '20+48=68']
Exploring Operation: 97+68=165, Resulting Numbers: [165]
165,96 unequal: No Solution
Exploring Operation: 97*68=6596, Resulting Numbers: [6596]
6596,96 unequal: No Solution
Exploring Operation: 97-68=29, Resulting Numbers: [29]
29,96 unequal: No Solution
Moving to Node #0,4,0
Current State: 96:[48, 117], Operations: ['72+25=97', '20+97=117']
Exploring Operation: 48*117=5616, Resulting Numbers: [5616]
5616,96 unequal: No Solution
Exploring Operation: 117-48=69, Resulting Numbers: [69]
69,96 unequal: No Solution
Exploring Operation: 48+117=165, Resulting Numbers: [165]
165,96 unequal: No Solution
Moving to Node #0,0,4
Current State: 96:[92, 73], Operations: ['20+72=92', '48+25=73']
Exploring Operation: 92*73=6716, Resulting Numbers: [6716]
6716,96 unequal: No Solution
Exploring Operation: 92+73=165, Resulting Numbers: [165]
165,96 unequal: No Solution
Exploring Operation: 92-73=19, Resulting Numbers: [19]
19,96 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
37,
71,
93,
21
] | 37 | [
"93-71=22",
"22-21=1",
"37*1=37"
] | Current State: 37:[37, 71, 93, 21], Operations: []
Exploring Operation: 93-71=22, Resulting Numbers: [37, 21, 22]
Generated Node #2: [37, 21, 22] from Operation: 93-71=22
Current State: 37:[37, 21, 22], Operations: ['93-71=22']
Exploring Operation: 22-21=1, Resulting Numbers: [37, 1]
Generated Node #3: [37, 1] from Operation: 22-21=1
Current State: 37:[37, 1], Operations: ['93-71=22', '22-21=1']
Exploring Operation: 37*1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[37, 71, 93, 21], Operations: []
Exploring Operation: 93-71=22, Resulting Numbers: [37, 21, 22]
Generated Node #0,0: 37:[37, 21, 22] Operation: 93-71=22
Moving to Node #0,0
Current State: 37:[37, 21, 22], Operations: ['93-71=22']
Exploring Operation: 21+22=43, Resulting Numbers: [37, 43]
Generated Node #0,0,0: 37:[37, 43] Operation: 21+22=43
Moving to Node #0,0,0
Current State: 37:[37, 43], Operations: ['93-71=22', '21+22=43']
Exploring Operation: 43-37=6, Resulting Numbers: [6]
6,37 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
67,
5,
85,
70
] | 87 | [
"67+5=72",
"85-70=15",
"72+15=87"
] | Current State: 87:[67, 5, 85, 70], Operations: []
Exploring Operation: 67+5=72, Resulting Numbers: [85, 70, 72]
Generated Node #2: [85, 70, 72] from Operation: 67+5=72
Current State: 87:[85, 70, 72], Operations: ['67+5=72']
Exploring Operation: 85-70=15, Resulting Numbers: [72, 15]
Generated Node #3: [72, 15] from Operation: 85-70=15
Current State: 87:[72, 15], Operations: ['67+5=72', '85-70=15']
Exploring Operation: 72+15=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[67, 5, 85, 70], Operations: []
Exploring Operation: 85-67=18, Resulting Numbers: [5, 70, 18]
Generated Node #0,0: 87:[5, 70, 18] Operation: 85-67=18
Exploring Operation: 70/5=14, Resulting Numbers: [67, 85, 14]
Generated Node #0,1: 87:[67, 85, 14] Operation: 70/5=14
Exploring Operation: 70-67=3, Resulting Numbers: [5, 85, 3]
Generated Node #0,2: 87:[5, 85, 3] Operation: 70-67=3
Moving to Node #0,2
Current State: 87:[5, 85, 3], Operations: ['70-67=3']
Exploring Operation: 5-3=2, Resulting Numbers: [85, 2]
Generated Node #0,2,0: 87:[85, 2] Operation: 5-3=2
Exploring Operation: 85+3=88, Resulting Numbers: [5, 88]
Generated Node #0,2,1: 87:[5, 88] Operation: 85+3=88
Exploring Operation: 5+85=90, Resulting Numbers: [3, 90]
Generated Node #0,2,2: 87:[3, 90] Operation: 5+85=90
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 87:[85, 2], Operations: ['70-67=3', '5-3=2']
Exploring Operation: 85*2=170, Resulting Numbers: [170]
170,87 unequal: No Solution
Exploring Operation: 85-2=83, Resulting Numbers: [83]
83,87 unequal: No Solution
Exploring Operation: 85+2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[67, 5, 85, 70], Operations: []
Exploring Operation: 70-67=3, Resulting Numbers: [5, 85, 3]
Generated Node #0,2: 87:[5, 85, 3] Operation: 70-67=3
Moving to Node #0,2
Current State: 87:[5, 85, 3], Operations: ['70-67=3']
Exploring Operation: 5-3=2, Resulting Numbers: [85, 2]
Generated Node #0,2,0: 87:[85, 2] Operation: 5-3=2
Moving to Node #0,2,0
Current State: 87:[85, 2], Operations: ['70-67=3', '5-3=2']
Exploring Operation: 85+2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
7,
44,
85,
89
] | 66 | [
"44+89=133",
"133/7=19",
"85-19=66"
] | Current State: 66:[7, 44, 85, 89], Operations: []
Exploring Operation: 44+89=133, Resulting Numbers: [7, 85, 133]
Generated Node #2: [7, 85, 133] from Operation: 44+89=133
Current State: 66:[7, 85, 133], Operations: ['44+89=133']
Exploring Operation: 133/7=19, Resulting Numbers: [85, 19]
Generated Node #3: [85, 19] from Operation: 133/7=19
Current State: 66:[85, 19], Operations: ['44+89=133', '133/7=19']
Exploring Operation: 85-19=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[7, 44, 85, 89], Operations: []
Exploring Operation: 89-85=4, Resulting Numbers: [7, 44, 4]
Generated Node #0,0: 66:[7, 44, 4] Operation: 89-85=4
Moving to Node #0,0
Current State: 66:[7, 44, 4], Operations: ['89-85=4']
Exploring Operation: 44/4=11, Resulting Numbers: [7, 11]
Generated Node #0,0,0: 66:[7, 11] Operation: 44/4=11
Moving to Node #0,0,0
Current State: 66:[7, 11], Operations: ['89-85=4', '44/4=11']
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,66 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
4,
19,
41,
46
] | 72 | [
"19-4=15",
"41+46=87",
"87-15=72"
] | Current State: 72:[4, 19, 41, 46], Operations: []
Exploring Operation: 19-4=15, Resulting Numbers: [41, 46, 15]
Generated Node #2: [41, 46, 15] from Operation: 19-4=15
Current State: 72:[41, 46, 15], Operations: ['19-4=15']
Exploring Operation: 41+46=87, Resulting Numbers: [15, 87]
Generated Node #3: [15, 87] from Operation: 41+46=87
Current State: 72:[15, 87], Operations: ['19-4=15', '41+46=87']
Exploring Operation: 87-15=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[4, 19, 41, 46], Operations: []
Exploring Operation: 46-41=5, Resulting Numbers: [4, 19, 5]
Generated Node #0,0: 72:[4, 19, 5] Operation: 46-41=5
Exploring Operation: 46-19=27, Resulting Numbers: [4, 41, 27]
Generated Node #0,1: 72:[4, 41, 27] Operation: 46-19=27
Exploring Operation: 41-4=37, Resulting Numbers: [19, 46, 37]
Generated Node #0,2: 72:[19, 46, 37] Operation: 41-4=37
Exploring Operation: 46-4=42, Resulting Numbers: [19, 41, 42]
Generated Node #0,3: 72:[19, 41, 42] Operation: 46-4=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[4, 19, 5], Operations: ['46-41=5']
Exploring Operation: 5-4=1, Resulting Numbers: [19, 1]
Generated Node #0,0,0: 72:[19, 1] Operation: 5-4=1
Exploring Operation: 4+19=23, Resulting Numbers: [5, 23]
Generated Node #0,0,1: 72:[5, 23] Operation: 4+19=23
Exploring Operation: 19+5=24, Resulting Numbers: [4, 24]
Generated Node #0,0,2: 72:[4, 24] Operation: 19+5=24
Exploring Operation: 4+5=9, Resulting Numbers: [19, 9]
Generated Node #0,0,3: 72:[19, 9] Operation: 4+5=9
Moving to Node #0,0,2
Current State: 72:[4, 24], Operations: ['46-41=5', '19+5=24']
Exploring Operation: 4+24=28, Resulting Numbers: [28]
28,72 unequal: No Solution
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,72 unequal: No Solution
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,72 unequal: No Solution
Exploring Operation: 4*24=96, Resulting Numbers: [96]
96,72 unequal: No Solution
Moving to Node #0,0,3
Current State: 72:[19, 9], Operations: ['46-41=5', '4+5=9']
Exploring Operation: 19+9=28, Resulting Numbers: [28]
28,72 unequal: No Solution
Exploring Operation: 19*9=171, Resulting Numbers: [171]
171,72 unequal: No Solution
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[5, 23], Operations: ['46-41=5', '4+19=23']
Exploring Operation: 5*23=115, Resulting Numbers: [115]
115,72 unequal: No Solution
Exploring Operation: 5+23=28, Resulting Numbers: [28]
28,72 unequal: No Solution
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,72 unequal: No Solution
Moving to Node #0,0,0
Current State: 72:[19, 1], Operations: ['46-41=5', '5-4=1']
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,72 unequal: No Solution
Exploring Operation: 19+1=20, Resulting Numbers: [20]
20,72 unequal: No Solution
Exploring Operation: 19*1=19, Resulting Numbers: [19]
19,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[4, 41, 27], Operations: ['46-19=27']
Exploring Operation: 41-27=14, Resulting Numbers: [4, 14]
Generated Node #0,1,0: 72:[4, 14] Operation: 41-27=14
Exploring Operation: 27-4=23, Resulting Numbers: [41, 23]
Generated Node #0,1,1: 72:[41, 23] Operation: 27-4=23
Exploring Operation: 41-4=37, Resulting Numbers: [27, 37]
Generated Node #0,1,2: 72:[27, 37] Operation: 41-4=37
Exploring Operation: 41+27=68, Resulting Numbers: [4, 68]
Generated Node #0,1,3: 72:[4, 68] Operation: 41+27=68
Moving to Node #0,1,0
Current State: 72:[4, 14], Operations: ['46-19=27', '41-27=14']
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,72 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,72 unequal: No Solution
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,72 unequal: No Solution
Moving to Node #0,1,3
Current State: 72:[4, 68], Operations: ['46-19=27', '41+27=68']
Exploring Operation: 68-4=64, Resulting Numbers: [64]
64,72 unequal: No Solution
Exploring Operation: 4*68=272, Resulting Numbers: [272]
272,72 unequal: No Solution
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,72 unequal: No Solution
Exploring Operation: 4+68=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[4, 19, 41, 46], Operations: []
Exploring Operation: 46-19=27, Resulting Numbers: [4, 41, 27]
Generated Node #0,1: 72:[4, 41, 27] Operation: 46-19=27
Moving to Node #0,1
Current State: 72:[4, 41, 27], Operations: ['46-19=27']
Exploring Operation: 41+27=68, Resulting Numbers: [4, 68]
Generated Node #0,1,3: 72:[4, 68] Operation: 41+27=68
Moving to Node #0,1,3
Current State: 72:[4, 68], Operations: ['46-19=27', '41+27=68']
Exploring Operation: 4+68=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.967882 | hs_4 | mult_heuristic |
[
18,
93,
87,
2
] | 26 | [
"18+93=111",
"87-2=85",
"111-85=26"
] | Current State: 26:[18, 93, 87, 2], Operations: []
Exploring Operation: 18+93=111, Resulting Numbers: [87, 2, 111]
Generated Node #2: [87, 2, 111] from Operation: 18+93=111
Current State: 26:[87, 2, 111], Operations: ['18+93=111']
Exploring Operation: 87-2=85, Resulting Numbers: [111, 85]
Generated Node #3: [111, 85] from Operation: 87-2=85
Current State: 26:[111, 85], Operations: ['18+93=111', '87-2=85']
Exploring Operation: 111-85=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[18, 93, 87, 2], Operations: []
Exploring Operation: 93-18=75, Resulting Numbers: [87, 2, 75]
Generated Node #0,0: 26:[87, 2, 75] Operation: 93-18=75
Exploring Operation: 93-87=6, Resulting Numbers: [18, 2, 6]
Generated Node #0,1: 26:[18, 2, 6] Operation: 93-87=6
Moving to Node #0,1
Current State: 26:[18, 2, 6], Operations: ['93-87=6']
Exploring Operation: 18/6=3, Resulting Numbers: [2, 3]
Generated Node #0,1,0: 26:[2, 3] Operation: 18/6=3
Exploring Operation: 18-6=12, Resulting Numbers: [2, 12]
Generated Node #0,1,1: 26:[2, 12] Operation: 18-6=12
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 26:[2, 3], Operations: ['93-87=6', '18/6=3']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,26 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 26:[2, 12], Operations: ['93-87=6', '18-6=12']
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,26 unequal: No Solution
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,26 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: 26:[87, 2, 75], Operations: ['93-18=75']
Exploring Operation: 87-2=85, Resulting Numbers: [75, 85]
Generated Node #0,0,0: 26:[75, 85] Operation: 87-2=85
Exploring Operation: 87-75=12, Resulting Numbers: [2, 12]
Generated Node #0,0,1: 26:[2, 12] Operation: 87-75=12
Moving to Node #0,0,1
Current State: 26:[2, 12], Operations: ['93-18=75', '87-75=12']
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,26 unequal: No Solution
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,26 unequal: No Solution
Moving to Node #0,0,0
Current State: 26:[75, 85], Operations: ['93-18=75', '87-2=85']
Exploring Operation: 85-75=10, Resulting Numbers: [10]
10,26 unequal: No Solution
Exploring Operation: 75+85=160, Resulting Numbers: [160]
160,26 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
63,
73,
67,
88
] | 60 | [
"67-63=4",
"88-73=15",
"4*15=60"
] | Current State: 60:[63, 73, 67, 88], Operations: []
Exploring Operation: 67-63=4, Resulting Numbers: [73, 88, 4]
Generated Node #2: [73, 88, 4] from Operation: 67-63=4
Current State: 60:[73, 88, 4], Operations: ['67-63=4']
Exploring Operation: 88-73=15, Resulting Numbers: [4, 15]
Generated Node #3: [4, 15] from Operation: 88-73=15
Current State: 60:[4, 15], Operations: ['67-63=4', '88-73=15']
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[63, 73, 67, 88], Operations: []
Exploring Operation: 88-63=25, Resulting Numbers: [73, 67, 25]
Generated Node #0,0: 60:[73, 67, 25] Operation: 88-63=25
Exploring Operation: 88-73=15, Resulting Numbers: [63, 67, 15]
Generated Node #0,1: 60:[63, 67, 15] Operation: 88-73=15
Exploring Operation: 88-67=21, Resulting Numbers: [63, 73, 21]
Generated Node #0,2: 60:[63, 73, 21] Operation: 88-67=21
Exploring Operation: 73-67=6, Resulting Numbers: [63, 88, 6]
Generated Node #0,3: 60:[63, 88, 6] Operation: 73-67=6
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[63, 67, 15], Operations: ['88-73=15']
Exploring Operation: 63+15=78, Resulting Numbers: [67, 78]
Generated Node #0,1,0: 60:[67, 78] Operation: 63+15=78
Exploring Operation: 67-15=52, Resulting Numbers: [63, 52]
Generated Node #0,1,1: 60:[63, 52] Operation: 67-15=52
Exploring Operation: 67-63=4, Resulting Numbers: [15, 4]
Generated Node #0,1,2: 60:[15, 4] Operation: 67-63=4
Exploring Operation: 63-15=48, Resulting Numbers: [67, 48]
Generated Node #0,1,3: 60:[67, 48] Operation: 63-15=48
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 60:[15, 4], Operations: ['88-73=15', '67-63=4']
Exploring Operation: 15*4=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[63, 73, 67, 88], Operations: []
Exploring Operation: 88-73=15, Resulting Numbers: [63, 67, 15]
Generated Node #0,1: 60:[63, 67, 15] Operation: 88-73=15
Moving to Node #0,1
Current State: 60:[63, 67, 15], Operations: ['88-73=15']
Exploring Operation: 67-63=4, Resulting Numbers: [15, 4]
Generated Node #0,1,2: 60:[15, 4] Operation: 67-63=4
Moving to Node #0,1,2
Current State: 60:[15, 4], Operations: ['88-73=15', '67-63=4']
Exploring Operation: 15*4=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
36,
67,
45,
55
] | 48 | [
"67-55=12",
"36/12=3",
"45+3=48"
] | Current State: 48:[36, 67, 45, 55], Operations: []
Exploring Operation: 67-55=12, Resulting Numbers: [36, 45, 12]
Generated Node #2: [36, 45, 12] from Operation: 67-55=12
Current State: 48:[36, 45, 12], Operations: ['67-55=12']
Exploring Operation: 36/12=3, Resulting Numbers: [45, 3]
Generated Node #3: [45, 3] from Operation: 36/12=3
Current State: 48:[45, 3], Operations: ['67-55=12', '36/12=3']
Exploring Operation: 45+3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[36, 67, 45, 55], Operations: []
Exploring Operation: 67-55=12, Resulting Numbers: [36, 45, 12]
Generated Node #0,0: 48:[36, 45, 12] Operation: 67-55=12
Exploring Operation: 67-36=31, Resulting Numbers: [45, 55, 31]
Generated Node #0,1: 48:[45, 55, 31] Operation: 67-36=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[36, 45, 12], Operations: ['67-55=12']
Exploring Operation: 36+12=48, Resulting Numbers: [45, 48]
Generated Node #0,0,0: 48:[45, 48] Operation: 36+12=48
Exploring Operation: 45-36=9, Resulting Numbers: [12, 9]
Generated Node #0,0,1: 48:[12, 9] Operation: 45-36=9
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 48:[12, 9], Operations: ['67-55=12', '45-36=9']
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,48 unequal: No Solution
Exploring Operation: 12+9=21, Resulting Numbers: [21]
21,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 48:[45, 48], Operations: ['67-55=12', '36+12=48']
Exploring Operation: 48-45=3, Resulting Numbers: [3]
3,48 unequal: No Solution
Exploring Operation: 45+48=93, Resulting Numbers: [93]
93,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 48:[45, 55, 31], Operations: ['67-36=31']
Exploring Operation: 55-45=10, Resulting Numbers: [31, 10]
Generated Node #0,1,0: 48:[31, 10] Operation: 55-45=10
Exploring Operation: 55-31=24, Resulting Numbers: [45, 24]
Generated Node #0,1,1: 48:[45, 24] Operation: 55-31=24
Moving to Node #0,1,1
Current State: 48:[45, 24], Operations: ['67-36=31', '55-31=24']
Exploring Operation: 45-24=21, Resulting Numbers: [21]
21,48 unequal: No Solution
Exploring Operation: 45+24=69, Resulting Numbers: [69]
69,48 unequal: No Solution
Moving to Node #0,1,0
Current State: 48:[31, 10], Operations: ['67-36=31', '55-45=10']
Exploring Operation: 31+10=41, Resulting Numbers: [41]
41,48 unequal: No Solution
Exploring Operation: 31-10=21, Resulting Numbers: [21]
21,48 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 |
[
2,
2,
19,
92
] | 65 | [
"2*19=38",
"92+38=130",
"130/2=65"
] | Current State: 65:[2, 2, 19, 92], Operations: []
Exploring Operation: 2*19=38, Resulting Numbers: [92, 38]
Generated Node #2: [92, 38] from Operation: 2*19=38
Current State: 65:[92, 38], Operations: ['2*19=38']
Exploring Operation: 92+38=130, Resulting Numbers: [130]
130,65 equal: Goal Reached
Exploring Operation: 130/2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[2, 2, 19, 92], Operations: []
Exploring Operation: 92/2=46, Resulting Numbers: [2, 19, 46]
Generated Node #0,0: 65:[2, 19, 46] Operation: 92/2=46
Exploring Operation: 92-19=73, Resulting Numbers: [2, 2, 73]
Generated Node #0,1: 65:[2, 2, 73] Operation: 92-19=73
Moving to Node #0,1
Current State: 65:[2, 2, 73], Operations: ['92-19=73']
Exploring Operation: 2+2=4, Resulting Numbers: [73, 4]
Generated Node #0,1,0: 65:[73, 4] Operation: 2+2=4
Exploring Operation: 2*2=4, Resulting Numbers: [73, 4]
Generated Node #0,1,1: 65:[73, 4] Operation: 2*2=4
Moving to Node #0,0
Current State: 65:[2, 19, 46], Operations: ['92/2=46']
Exploring Operation: 46/2=23, Resulting Numbers: [19, 23]
Generated Node #0,0,0: 65:[19, 23] Operation: 46/2=23
Exploring Operation: 19+46=65, Resulting Numbers: [2, 65]
Generated Node #0,0,1: 65:[2, 65] Operation: 19+46=65
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 65:[2, 65], Operations: ['92/2=46', '19+46=65']
Exploring Operation: 2+65=67, Resulting Numbers: [67]
67,65 unequal: No Solution
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,65 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 #0,0,0
Current State: 65:[19, 23], Operations: ['92/2=46', '46/2=23']
Exploring Operation: 23-19=4, Resulting Numbers: [4]
4,65 unequal: No Solution
Exploring Operation: 19+23=42, Resulting Numbers: [42]
42,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 65:[73, 4], Operations: ['92-19=73', '2+2=4']
Exploring Operation: 73+4=77, Resulting Numbers: [77]
77,65 unequal: No Solution
Exploring Operation: 73-4=69, Resulting Numbers: [69]
69,65 unequal: No Solution
Moving to Node #0,1,1
Current State: 65:[73, 4], Operations: ['92-19=73', '2*2=4']
Exploring Operation: 73+4=77, Resulting Numbers: [77]
77,65 unequal: No Solution
Exploring Operation: 73-4=69, Resulting Numbers: [69]
69,65 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
37,
31,
47,
2
] | 42 | [
"37+31=68",
"68-47=21",
"2*21=42"
] | Current State: 42:[37, 31, 47, 2], Operations: []
Exploring Operation: 37+31=68, Resulting Numbers: [47, 2, 68]
Generated Node #2: [47, 2, 68] from Operation: 37+31=68
Current State: 42:[47, 2, 68], Operations: ['37+31=68']
Exploring Operation: 68-47=21, Resulting Numbers: [2, 21]
Generated Node #3: [2, 21] from Operation: 68-47=21
Current State: 42:[2, 21], Operations: ['37+31=68', '68-47=21']
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[37, 31, 47, 2], Operations: []
Exploring Operation: 37-31=6, Resulting Numbers: [47, 2, 6]
Generated Node #0,0: 42:[47, 2, 6] Operation: 37-31=6
Exploring Operation: 47-31=16, Resulting Numbers: [37, 2, 16]
Generated Node #0,1: 42:[37, 2, 16] Operation: 47-31=16
Moving to Node #0,0
Current State: 42:[47, 2, 6], Operations: ['37-31=6']
Exploring Operation: 47-2=45, Resulting Numbers: [6, 45]
Generated Node #0,0,0: 42:[6, 45] Operation: 47-2=45
Exploring Operation: 47-6=41, Resulting Numbers: [2, 41]
Generated Node #0,0,1: 42:[2, 41] Operation: 47-6=41
Moving to Node #0,1
Current State: 42:[37, 2, 16], Operations: ['47-31=16']
Exploring Operation: 37-16=21, Resulting Numbers: [2, 21]
Generated Node #0,1,0: 42:[2, 21] Operation: 37-16=21
Exploring Operation: 37+2=39, Resulting Numbers: [16, 39]
Generated Node #0,1,1: 42:[16, 39] Operation: 37+2=39
Moving to Node #0,1,0
Current State: 42:[2, 21], Operations: ['47-31=16', '37-16=21']
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,42 unequal: No Solution
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[37, 31, 47, 2], Operations: []
Exploring Operation: 47-31=16, Resulting Numbers: [37, 2, 16]
Generated Node #0,1: 42:[37, 2, 16] Operation: 47-31=16
Moving to Node #0,1
Current State: 42:[37, 2, 16], Operations: ['47-31=16']
Exploring Operation: 37-16=21, Resulting Numbers: [2, 21]
Generated Node #0,1,0: 42:[2, 21] Operation: 37-16=21
Moving to Node #0,1,0
Current State: 42:[2, 21], Operations: ['47-31=16', '37-16=21']
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 0.989583 | hs_2 | mult_heuristic |
[
82,
80,
24,
84
] | 58 | [
"82-80=2",
"84-24=60",
"60-2=58"
] | Current State: 58:[82, 80, 24, 84], Operations: []
Exploring Operation: 82-80=2, Resulting Numbers: [24, 84, 2]
Generated Node #2: [24, 84, 2] from Operation: 82-80=2
Current State: 58:[24, 84, 2], Operations: ['82-80=2']
Exploring Operation: 84-24=60, Resulting Numbers: [2, 60]
Generated Node #3: [2, 60] from Operation: 84-24=60
Current State: 58:[2, 60], Operations: ['82-80=2', '84-24=60']
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[82, 80, 24, 84], Operations: []
Exploring Operation: 84-82=2, Resulting Numbers: [80, 24, 2]
Generated Node #0,0: 58:[80, 24, 2] Operation: 84-82=2
Moving to Node #0,0
Current State: 58:[80, 24, 2], Operations: ['84-82=2']
Exploring Operation: 80-24=56, Resulting Numbers: [2, 56]
Generated Node #0,0,0: 58:[2, 56] Operation: 80-24=56
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[2, 56], Operations: ['84-82=2', '80-24=56']
Exploring Operation: 2+56=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[82, 80, 24, 84], Operations: []
Exploring Operation: 84-82=2, Resulting Numbers: [80, 24, 2]
Generated Node #0,0: 58:[80, 24, 2] Operation: 84-82=2
Moving to Node #0,0
Current State: 58:[80, 24, 2], Operations: ['84-82=2']
Exploring Operation: 80-24=56, Resulting Numbers: [2, 56]
Generated Node #0,0,0: 58:[2, 56] Operation: 80-24=56
Moving to Node #0,0,0
Current State: 58:[2, 56], Operations: ['84-82=2', '80-24=56']
Exploring Operation: 2+56=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
90,
13,
39,
91
] | 52 | [
"91-90=1",
"13+39=52",
"1*52=52"
] | Current State: 52:[90, 13, 39, 91], Operations: []
Exploring Operation: 91-90=1, Resulting Numbers: [13, 39, 1]
Generated Node #2: [13, 39, 1] from Operation: 91-90=1
Current State: 52:[13, 39, 1], Operations: ['91-90=1']
Exploring Operation: 13+39=52, Resulting Numbers: [1, 52]
Generated Node #3: [1, 52] from Operation: 13+39=52
Current State: 52:[1, 52], Operations: ['91-90=1', '13+39=52']
Exploring Operation: 1*52=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[90, 13, 39, 91], Operations: []
Exploring Operation: 91-39=52, Resulting Numbers: [90, 13, 52]
Generated Node #0,0: 52:[90, 13, 52] Operation: 91-39=52
Exploring Operation: 90-39=51, Resulting Numbers: [13, 91, 51]
Generated Node #0,1: 52:[13, 91, 51] Operation: 90-39=51
Exploring Operation: 91-90=1, Resulting Numbers: [13, 39, 1]
Generated Node #0,2: 52:[13, 39, 1] Operation: 91-90=1
Exploring Operation: 91/13=7, Resulting Numbers: [90, 39, 7]
Generated Node #0,3: 52:[90, 39, 7] Operation: 91/13=7
Moving to Node #0,2
Current State: 52:[13, 39, 1], Operations: ['91-90=1']
Exploring Operation: 39+1=40, Resulting Numbers: [13, 40]
Generated Node #0,2,0: 52:[13, 40] Operation: 39+1=40
Exploring Operation: 39-13=26, Resulting Numbers: [1, 26]
Generated Node #0,2,1: 52:[1, 26] Operation: 39-13=26
Exploring Operation: 13+39=52, Resulting Numbers: [1, 52]
Generated Node #0,2,2: 52:[1, 52] Operation: 13+39=52
Exploring Operation: 39/13=3, Resulting Numbers: [1, 3]
Generated Node #0,2,3: 52:[1, 3] Operation: 39/13=3
Moving to Node #0,0
Current State: 52:[90, 13, 52], Operations: ['91-39=52']
Exploring Operation: 52/13=4, Resulting Numbers: [90, 4]
Generated Node #0,0,0: 52:[90, 4] Operation: 52/13=4
Exploring Operation: 90-13=77, Resulting Numbers: [52, 77]
Generated Node #0,0,1: 52:[52, 77] Operation: 90-13=77
Exploring Operation: 90+13=103, Resulting Numbers: [52, 103]
Generated Node #0,0,2: 52:[52, 103] Operation: 90+13=103
Exploring Operation: 90-52=38, Resulting Numbers: [13, 38]
Generated Node #0,0,3: 52:[13, 38] Operation: 90-52=38
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 52:[13, 38], Operations: ['91-39=52', '90-52=38']
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,52 unequal: No Solution
Exploring Operation: 13+38=51, Resulting Numbers: [51]
51,52 unequal: No Solution
Exploring Operation: 13*38=494, Resulting Numbers: [494]
494,52 unequal: No Solution
No 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: 52:[52, 77], Operations: ['91-39=52', '90-13=77']
Exploring Operation: 52+77=129, Resulting Numbers: [129]
129,52 unequal: No Solution
Exploring Operation: 52*77=4004, Resulting Numbers: [4004]
4004,52 unequal: No Solution
Exploring Operation: 77-52=25, Resulting Numbers: [25]
25,52 unequal: No Solution
No 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: 52:[90, 4], Operations: ['91-39=52', '52/13=4']
Exploring Operation: 90+4=94, Resulting Numbers: [94]
94,52 unequal: No Solution
Exploring Operation: 90-4=86, Resulting Numbers: [86]
86,52 unequal: No Solution
Exploring Operation: 90*4=360, Resulting Numbers: [360]
360,52 unequal: No Solution
No 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: 52:[52, 103], Operations: ['91-39=52', '90+13=103']
Exploring Operation: 52+103=155, Resulting Numbers: [155]
155,52 unequal: No Solution
Exploring Operation: 103-52=51, Resulting Numbers: [51]
51,52 unequal: No Solution
Exploring Operation: 52*103=5356, Resulting Numbers: [5356]
5356,52 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: 52:[13, 91, 51], Operations: ['90-39=51']
Exploring Operation: 13+51=64, Resulting Numbers: [91, 64]
Generated Node #0,1,0: 52:[91, 64] Operation: 13+51=64
Exploring Operation: 91/13=7, Resulting Numbers: [51, 7]
Generated Node #0,1,1: 52:[51, 7] Operation: 91/13=7
Exploring Operation: 91-51=40, Resulting Numbers: [13, 40]
Generated Node #0,1,2: 52:[13, 40] Operation: 91-51=40
Exploring Operation: 91-13=78, Resulting Numbers: [51, 78]
Generated Node #0,1,3: 52:[51, 78] Operation: 91-13=78
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 52:[51, 7], Operations: ['90-39=51', '91/13=7']
Exploring Operation: 51*7=357, Resulting Numbers: [357]
357,52 unequal: No Solution
Exploring Operation: 51+7=58, Resulting Numbers: [58]
58,52 unequal: No Solution
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,52 unequal: No Solution
No 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: 52:[13, 40], Operations: ['90-39=51', '91-51=40']
Exploring Operation: 40-13=27, Resulting Numbers: [27]
27,52 unequal: No Solution
Exploring Operation: 13+40=53, Resulting Numbers: [53]
53,52 unequal: No Solution
Exploring Operation: 13*40=520, Resulting Numbers: [520]
520,52 unequal: No Solution
No 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: 52:[51, 78], Operations: ['90-39=51', '91-13=78']
Exploring Operation: 51*78=3978, Resulting Numbers: [3978]
3978,52 unequal: No Solution
Exploring Operation: 78-51=27, Resulting Numbers: [27]
27,52 unequal: No Solution
Exploring Operation: 51+78=129, Resulting Numbers: [129]
129,52 unequal: No Solution
No 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: 52:[91, 64], Operations: ['90-39=51', '13+51=64']
Exploring Operation: 91-64=27, Resulting Numbers: [27]
27,52 unequal: No Solution
Exploring Operation: 91*64=5824, Resulting Numbers: [5824]
5824,52 unequal: No Solution
Exploring Operation: 91+64=155, Resulting Numbers: [155]
155,52 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: 52:[90, 39, 7], Operations: ['91/13=7']
Exploring Operation: 39+7=46, Resulting Numbers: [90, 46]
Generated Node #0,3,0: 52:[90, 46] Operation: 39+7=46
Exploring Operation: 90-39=51, Resulting Numbers: [7, 51]
Generated Node #0,3,1: 52:[7, 51] Operation: 90-39=51
Exploring Operation: 39-7=32, Resulting Numbers: [90, 32]
Generated Node #0,3,2: 52:[90, 32] Operation: 39-7=32
Exploring Operation: 90-7=83, Resulting Numbers: [39, 83]
Generated Node #0,3,3: 52:[39, 83] Operation: 90-7=83
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 52:[7, 51], Operations: ['91/13=7', '90-39=51']
Exploring Operation: 7+51=58, Resulting Numbers: [58]
58,52 unequal: No Solution
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,52 unequal: No Solution
Exploring Operation: 7*51=357, Resulting Numbers: [357]
357,52 unequal: No Solution
No 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: 52:[90, 46], Operations: ['91/13=7', '39+7=46']
Exploring Operation: 90*46=4140, Resulting Numbers: [4140]
4140,52 unequal: No Solution
Exploring Operation: 90-46=44, Resulting Numbers: [44]
44,52 unequal: No Solution
Exploring Operation: 90+46=136, Resulting Numbers: [136]
136,52 unequal: No Solution
No 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: 52:[90, 32], Operations: ['91/13=7', '39-7=32']
Exploring Operation: 90+32=122, Resulting Numbers: [122]
122,52 unequal: No Solution
Exploring Operation: 90*32=2880, Resulting Numbers: [2880]
2880,52 unequal: No Solution
Exploring Operation: 90-32=58, Resulting Numbers: [58]
58,52 unequal: No Solution
No 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: 52:[39, 83], Operations: ['91/13=7', '90-7=83']
Exploring Operation: 39+83=122, Resulting Numbers: [122]
122,52 unequal: No Solution
Exploring Operation: 39*83=3237, Resulting Numbers: [3237]
3237,52 unequal: No Solution
Exploring Operation: 83-39=44, Resulting Numbers: [44]
44,52 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: 52:[1, 26], Operations: ['91-90=1', '39-13=26']
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,52 unequal: No Solution
Exploring Operation: 1+26=27, Resulting Numbers: [27]
27,52 unequal: No Solution
Exploring Operation: 1*26=26, Resulting Numbers: [26]
26,52 unequal: No Solution
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,52 unequal: No Solution
Moving to Node #0,2,2
Current State: 52:[1, 52], Operations: ['91-90=1', '13+39=52']
Exploring Operation: 1+52=53, Resulting Numbers: [53]
53,52 unequal: No Solution
Exploring Operation: 1*52=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[90, 13, 39, 91], Operations: []
Exploring Operation: 91-90=1, Resulting Numbers: [13, 39, 1]
Generated Node #0,2: 52:[13, 39, 1] Operation: 91-90=1
Moving to Node #0,2
Current State: 52:[13, 39, 1], Operations: ['91-90=1']
Exploring Operation: 13+39=52, Resulting Numbers: [1, 52]
Generated Node #0,2,2: 52:[1, 52] Operation: 13+39=52
Moving to Node #0,2,2
Current State: 52:[1, 52], Operations: ['91-90=1', '13+39=52']
Exploring Operation: 1*52=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 0.942708 | hs_4 | sum_heuristic |
[
76,
24,
30,
33
] | 37 | [
"76+24=100",
"30+33=63",
"100-63=37"
] | Current State: 37:[76, 24, 30, 33], Operations: []
Exploring Operation: 76+24=100, Resulting Numbers: [30, 33, 100]
Generated Node #2: [30, 33, 100] from Operation: 76+24=100
Current State: 37:[30, 33, 100], Operations: ['76+24=100']
Exploring Operation: 30+33=63, Resulting Numbers: [100, 63]
Generated Node #3: [100, 63] from Operation: 30+33=63
Current State: 37:[100, 63], Operations: ['76+24=100', '30+33=63']
Exploring Operation: 100-63=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[76, 24, 30, 33], Operations: []
Exploring Operation: 76-24=52, Resulting Numbers: [30, 33, 52]
Generated Node #0,0: 37:[30, 33, 52] Operation: 76-24=52
Exploring Operation: 24+30=54, Resulting Numbers: [76, 33, 54]
Generated Node #0,1: 37:[76, 33, 54] Operation: 24+30=54
Exploring Operation: 76-30=46, Resulting Numbers: [24, 33, 46]
Generated Node #0,2: 37:[24, 33, 46] Operation: 76-30=46
Exploring Operation: 76-33=43, Resulting Numbers: [24, 30, 43]
Generated Node #0,3: 37:[24, 30, 43] Operation: 76-33=43
Exploring Operation: 24+33=57, Resulting Numbers: [76, 30, 57]
Generated Node #0,4: 37:[76, 30, 57] Operation: 24+33=57
Moving to Node #0,0
Current State: 37:[30, 33, 52], Operations: ['76-24=52']
Exploring Operation: 52-30=22, Resulting Numbers: [33, 22]
Generated Node #0,0,0: 37:[33, 22] Operation: 52-30=22
Exploring Operation: 33-30=3, Resulting Numbers: [52, 3]
Generated Node #0,0,1: 37:[52, 3] Operation: 33-30=3
Exploring Operation: 30+33=63, Resulting Numbers: [52, 63]
Generated Node #0,0,2: 37:[52, 63] Operation: 30+33=63
Exploring Operation: 52-33=19, Resulting Numbers: [30, 19]
Generated Node #0,0,3: 37:[30, 19] Operation: 52-33=19
Exploring Operation: 30+52=82, Resulting Numbers: [33, 82]
Generated Node #0,0,4: 37:[33, 82] Operation: 30+52=82
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[33, 22], Operations: ['76-24=52', '52-30=22']
Exploring Operation: 33-22=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Exploring Operation: 33+22=55, Resulting Numbers: [55]
55,37 unequal: No Solution
Exploring Operation: 33*22=726, Resulting Numbers: [726]
726,37 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 #0,0,3
Current State: 37:[30, 19], Operations: ['76-24=52', '52-33=19']
Exploring Operation: 30+19=49, Resulting Numbers: [49]
49,37 unequal: No Solution
Exploring Operation: 30*19=570, Resulting Numbers: [570]
570,37 unequal: No Solution
Exploring Operation: 30-19=11, Resulting Numbers: [11]
11,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 37:[52, 63], Operations: ['76-24=52', '30+33=63']
Exploring Operation: 52*63=3276, Resulting Numbers: [3276]
3276,37 unequal: No Solution
Exploring Operation: 52+63=115, Resulting Numbers: [115]
115,37 unequal: No Solution
Exploring Operation: 63-52=11, Resulting Numbers: [11]
11,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 37:[52, 3], Operations: ['76-24=52', '33-30=3']
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,37 unequal: No Solution
Exploring Operation: 52+3=55, Resulting Numbers: [55]
55,37 unequal: No Solution
Exploring Operation: 52*3=156, Resulting Numbers: [156]
156,37 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 #0,0,4
Current State: 37:[33, 82], Operations: ['76-24=52', '30+52=82']
Exploring Operation: 33*82=2706, Resulting Numbers: [2706]
2706,37 unequal: No Solution
Exploring Operation: 33+82=115, Resulting Numbers: [115]
115,37 unequal: No Solution
Exploring Operation: 82-33=49, Resulting Numbers: [49]
49,37 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: 37:[24, 30, 43], Operations: ['76-33=43']
Exploring Operation: 43-24=19, Resulting Numbers: [30, 19]
Generated Node #0,3,0: 37:[30, 19] Operation: 43-24=19
Exploring Operation: 43-30=13, Resulting Numbers: [24, 13]
Generated Node #0,3,1: 37:[24, 13] Operation: 43-30=13
Exploring Operation: 24+43=67, Resulting Numbers: [30, 67]
Generated Node #0,3,2: 37:[30, 67] Operation: 24+43=67
Exploring Operation: 24+30=54, Resulting Numbers: [43, 54]
Generated Node #0,3,3: 37:[43, 54] Operation: 24+30=54
Exploring Operation: 30-24=6, Resulting Numbers: [43, 6]
Generated Node #0,3,4: 37:[43, 6] Operation: 30-24=6
Moving to Node #0,2
Current State: 37:[24, 33, 46], Operations: ['76-30=46']
Exploring Operation: 33-24=9, Resulting Numbers: [46, 9]
Generated Node #0,2,0: 37:[46, 9] Operation: 33-24=9
Exploring Operation: 46-24=22, Resulting Numbers: [33, 22]
Generated Node #0,2,1: 37:[33, 22] Operation: 46-24=22
Exploring Operation: 46-33=13, Resulting Numbers: [24, 13]
Generated Node #0,2,2: 37:[24, 13] Operation: 46-33=13
Exploring Operation: 24+46=70, Resulting Numbers: [33, 70]
Generated Node #0,2,3: 37:[33, 70] Operation: 24+46=70
Exploring Operation: 24+33=57, Resulting Numbers: [46, 57]
Generated Node #0,2,4: 37:[46, 57] Operation: 24+33=57
Moving to Node #0,1
Current State: 37:[76, 33, 54], Operations: ['24+30=54']
Exploring Operation: 76-33=43, Resulting Numbers: [54, 43]
Generated Node #0,1,0: 37:[54, 43] Operation: 76-33=43
Exploring Operation: 76-54=22, Resulting Numbers: [33, 22]
Generated Node #0,1,1: 37:[33, 22] Operation: 76-54=22
Exploring Operation: 76+33=109, Resulting Numbers: [54, 109]
Generated Node #0,1,2: 37:[54, 109] Operation: 76+33=109
Exploring Operation: 54-33=21, Resulting Numbers: [76, 21]
Generated Node #0,1,3: 37:[76, 21] Operation: 54-33=21
Exploring Operation: 33+54=87, Resulting Numbers: [76, 87]
Generated Node #0,1,4: 37:[76, 87] Operation: 33+54=87
Moving to Node #0,4
Current State: 37:[76, 30, 57], Operations: ['24+33=57']
Exploring Operation: 76+30=106, Resulting Numbers: [57, 106]
Generated Node #0,4,0: 37:[57, 106] Operation: 76+30=106
Exploring Operation: 30+57=87, Resulting Numbers: [76, 87]
Generated Node #0,4,1: 37:[76, 87] Operation: 30+57=87
Exploring Operation: 76-30=46, Resulting Numbers: [57, 46]
Generated Node #0,4,2: 37:[57, 46] Operation: 76-30=46
Exploring Operation: 57-30=27, Resulting Numbers: [76, 27]
Generated Node #0,4,3: 37:[76, 27] Operation: 57-30=27
Exploring Operation: 76-57=19, Resulting Numbers: [30, 19]
Generated Node #0,4,4: 37:[30, 19] Operation: 76-57=19
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 37:[30, 19], Operations: ['24+33=57', '76-57=19']
Exploring Operation: 30*19=570, Resulting Numbers: [570]
570,37 unequal: No Solution
Exploring Operation: 30-19=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Exploring Operation: 30+19=49, Resulting Numbers: [49]
49,37 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 #0,4,2
Current State: 37:[57, 46], Operations: ['24+33=57', '76-30=46']
Exploring Operation: 57-46=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Exploring Operation: 57*46=2622, Resulting Numbers: [2622]
2622,37 unequal: No Solution
Exploring Operation: 57+46=103, Resulting Numbers: [103]
103,37 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 #0,4,3
Current State: 37:[76, 27], Operations: ['24+33=57', '57-30=27']
Exploring Operation: 76-27=49, Resulting Numbers: [49]
49,37 unequal: No Solution
Exploring Operation: 76+27=103, Resulting Numbers: [103]
103,37 unequal: No Solution
Exploring Operation: 76*27=2052, Resulting Numbers: [2052]
2052,37 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 #0,4,0
Current State: 37:[57, 106], Operations: ['24+33=57', '76+30=106']
Exploring Operation: 57*106=6042, Resulting Numbers: [6042]
6042,37 unequal: No Solution
Exploring Operation: 57+106=163, Resulting Numbers: [163]
163,37 unequal: No Solution
Exploring Operation: 106-57=49, Resulting Numbers: [49]
49,37 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 #0,4,1
Current State: 37:[76, 87], Operations: ['24+33=57', '30+57=87']
Exploring Operation: 76+87=163, Resulting Numbers: [163]
163,37 unequal: No Solution
Exploring Operation: 76*87=6612, Resulting Numbers: [6612]
6612,37 unequal: No Solution
Exploring Operation: 87-76=11, Resulting Numbers: [11]
11,37 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: 37:[33, 22], Operations: ['76-30=46', '46-24=22']
Exploring Operation: 33-22=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Exploring Operation: 33*22=726, Resulting Numbers: [726]
726,37 unequal: No Solution
Exploring Operation: 33+22=55, Resulting Numbers: [55]
55,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[33, 22], Operations: ['24+30=54', '76-54=22']
Exploring Operation: 33*22=726, Resulting Numbers: [726]
726,37 unequal: No Solution
Exploring Operation: 33-22=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Exploring Operation: 33+22=55, Resulting Numbers: [55]
55,37 unequal: No Solution
Moving to Node #0,3,3
Current State: 37:[43, 54], Operations: ['76-33=43', '24+30=54']
Exploring Operation: 54-43=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Exploring Operation: 43+54=97, Resulting Numbers: [97]
97,37 unequal: No Solution
Exploring Operation: 43*54=2322, Resulting Numbers: [2322]
2322,37 unequal: No Solution
Moving to Node #0,1,0
Current State: 37:[54, 43], Operations: ['24+30=54', '76-33=43']
Exploring Operation: 54+43=97, Resulting Numbers: [97]
97,37 unequal: No Solution
Exploring Operation: 54-43=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Exploring Operation: 54*43=2322, Resulting Numbers: [2322]
2322,37 unequal: No Solution
Moving to Node #0,3,0
Current State: 37:[30, 19], Operations: ['76-33=43', '43-24=19']
Exploring Operation: 30+19=49, Resulting Numbers: [49]
49,37 unequal: No Solution
Exploring Operation: 30*19=570, Resulting Numbers: [570]
570,37 unequal: No Solution
Exploring Operation: 30-19=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Moving to Node #0,2,4
Current State: 37:[46, 57], Operations: ['76-30=46', '24+33=57']
Exploring Operation: 46+57=103, Resulting Numbers: [103]
103,37 unequal: No Solution
Exploring Operation: 57-46=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Exploring Operation: 46*57=2622, Resulting Numbers: [2622]
2622,37 unequal: No Solution
Moving to Node #0,3,1
Current State: 37:[24, 13], Operations: ['76-33=43', '43-30=13']
Exploring Operation: 24-13=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Exploring Operation: 24+13=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[76, 24, 30, 33], Operations: []
Exploring Operation: 76-33=43, Resulting Numbers: [24, 30, 43]
Generated Node #0,3: 37:[24, 30, 43] Operation: 76-33=43
Moving to Node #0,3
Current State: 37:[24, 30, 43], Operations: ['76-33=43']
Exploring Operation: 43-30=13, Resulting Numbers: [24, 13]
Generated Node #0,3,1: 37:[24, 13] Operation: 43-30=13
Moving to Node #0,3,1
Current State: 37:[24, 13], Operations: ['76-33=43', '43-30=13']
Exploring Operation: 24+13=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 0.927083 | hs_5 | mult_heuristic |
[
2,
54,
96,
74
] | 79 | [
"74/2=37",
"96-54=42",
"37+42=79"
] | Current State: 79:[2, 54, 96, 74], Operations: []
Exploring Operation: 74/2=37, Resulting Numbers: [54, 96, 37]
Generated Node #2: [54, 96, 37] from Operation: 74/2=37
Current State: 79:[54, 96, 37], Operations: ['74/2=37']
Exploring Operation: 96-54=42, Resulting Numbers: [37, 42]
Generated Node #3: [37, 42] from Operation: 96-54=42
Current State: 79:[37, 42], Operations: ['74/2=37', '96-54=42']
Exploring Operation: 37+42=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[2, 54, 96, 74], Operations: []
Exploring Operation: 54-2=52, Resulting Numbers: [96, 74, 52]
Generated Node #0,0: 79:[96, 74, 52] Operation: 54-2=52
Exploring Operation: 2+74=76, Resulting Numbers: [54, 96, 76]
Generated Node #0,1: 79:[54, 96, 76] Operation: 2+74=76
Exploring Operation: 2+54=56, Resulting Numbers: [96, 74, 56]
Generated Node #0,2: 79:[96, 74, 56] Operation: 2+54=56
Exploring Operation: 96-2=94, Resulting Numbers: [54, 74, 94]
Generated Node #0,3: 79:[54, 74, 94] Operation: 96-2=94
Exploring Operation: 2+96=98, Resulting Numbers: [54, 74, 98]
Generated Node #0,4: 79:[54, 74, 98] Operation: 2+96=98
Start Sub Search at level 1: Moving to Node #0,1
Current State: 79:[54, 96, 76], Operations: ['2+74=76']
Exploring Operation: 76-54=22, Resulting Numbers: [96, 22]
Generated Node #0,1,0: 79:[96, 22] Operation: 76-54=22
Exploring Operation: 54+96=150, Resulting Numbers: [76, 150]
Generated Node #0,1,1: 79:[76, 150] Operation: 54+96=150
Exploring Operation: 96-76=20, Resulting Numbers: [54, 20]
Generated Node #0,1,2: 79:[54, 20] Operation: 96-76=20
Exploring Operation: 54+76=130, Resulting Numbers: [96, 130]
Generated Node #0,1,3: 79:[96, 130] Operation: 54+76=130
Exploring Operation: 96-54=42, Resulting Numbers: [76, 42]
Generated Node #0,1,4: 79:[76, 42] Operation: 96-54=42
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 79:[76, 42], Operations: ['2+74=76', '96-54=42']
Exploring Operation: 76*42=3192, Resulting Numbers: [3192]
3192,79 unequal: No Solution
Exploring Operation: 76-42=34, Resulting Numbers: [34]
34,79 unequal: No Solution
Exploring Operation: 76+42=118, Resulting Numbers: [118]
118,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 79:[96, 130], Operations: ['2+74=76', '54+76=130']
Exploring Operation: 130-96=34, Resulting Numbers: [34]
34,79 unequal: No Solution
Exploring Operation: 96+130=226, Resulting Numbers: [226]
226,79 unequal: No Solution
Exploring Operation: 96*130=12480, Resulting Numbers: [12480]
12480,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 79:[96, 22], Operations: ['2+74=76', '76-54=22']
Exploring Operation: 96*22=2112, Resulting Numbers: [2112]
2112,79 unequal: No Solution
Exploring Operation: 96-22=74, Resulting Numbers: [74]
74,79 unequal: No Solution
Exploring Operation: 96+22=118, Resulting Numbers: [118]
118,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 79:[76, 150], Operations: ['2+74=76', '54+96=150']
Exploring Operation: 76*150=11400, Resulting Numbers: [11400]
11400,79 unequal: No Solution
Exploring Operation: 76+150=226, Resulting Numbers: [226]
226,79 unequal: No Solution
Exploring Operation: 150-76=74, Resulting Numbers: [74]
74,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 79:[54, 20], Operations: ['2+74=76', '96-76=20']
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,79 unequal: No Solution
Exploring Operation: 54+20=74, Resulting Numbers: [74]
74,79 unequal: No Solution
Exploring Operation: 54*20=1080, Resulting Numbers: [1080]
1080,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 79:[96, 74, 56], Operations: ['2+54=56']
Exploring Operation: 96-56=40, Resulting Numbers: [74, 40]
Generated Node #0,2,0: 79:[74, 40] Operation: 96-56=40
Exploring Operation: 96+56=152, Resulting Numbers: [74, 152]
Generated Node #0,2,1: 79:[74, 152] Operation: 96+56=152
Exploring Operation: 74-56=18, Resulting Numbers: [96, 18]
Generated Node #0,2,2: 79:[96, 18] Operation: 74-56=18
Exploring Operation: 74+56=130, Resulting Numbers: [96, 130]
Generated Node #0,2,3: 79:[96, 130] Operation: 74+56=130
Exploring Operation: 96-74=22, Resulting Numbers: [56, 22]
Generated Node #0,2,4: 79:[56, 22] Operation: 96-74=22
Moving to Node #0,2,0
Current State: 79:[74, 40], Operations: ['2+54=56', '96-56=40']
Exploring Operation: 74+40=114, Resulting Numbers: [114]
114,79 unequal: No Solution
Exploring Operation: 74-40=34, Resulting Numbers: [34]
34,79 unequal: No Solution
Exploring Operation: 74*40=2960, Resulting Numbers: [2960]
2960,79 unequal: No Solution
Moving to Node #0,2,3
Current State: 79:[96, 130], Operations: ['2+54=56', '74+56=130']
Exploring Operation: 130-96=34, Resulting Numbers: [34]
34,79 unequal: No Solution
Exploring Operation: 96*130=12480, Resulting Numbers: [12480]
12480,79 unequal: No Solution
Exploring Operation: 96+130=226, Resulting Numbers: [226]
226,79 unequal: No Solution
Moving to Node #0,2,1
Current State: 79:[74, 152], Operations: ['2+54=56', '96+56=152']
Exploring Operation: 74*152=11248, Resulting Numbers: [11248]
11248,79 unequal: No Solution
Exploring Operation: 74+152=226, Resulting Numbers: [226]
226,79 unequal: No Solution
Exploring Operation: 152-74=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Moving to Node #0,2,2
Current State: 79:[96, 18], Operations: ['2+54=56', '74-56=18']
Exploring Operation: 96-18=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Exploring Operation: 96+18=114, Resulting Numbers: [114]
114,79 unequal: No Solution
Exploring Operation: 96*18=1728, Resulting Numbers: [1728]
1728,79 unequal: No Solution
Moving to Node #0,2,4
Current State: 79:[56, 22], Operations: ['2+54=56', '96-74=22']
Exploring Operation: 56*22=1232, Resulting Numbers: [1232]
1232,79 unequal: No Solution
Exploring Operation: 56+22=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Exploring Operation: 56-22=34, Resulting Numbers: [34]
34,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 79:[54, 74, 94], Operations: ['96-2=94']
Exploring Operation: 54+94=148, Resulting Numbers: [74, 148]
Generated Node #0,3,0: 79:[74, 148] Operation: 54+94=148
Exploring Operation: 54+74=128, Resulting Numbers: [94, 128]
Generated Node #0,3,1: 79:[94, 128] Operation: 54+74=128
Exploring Operation: 94-74=20, Resulting Numbers: [54, 20]
Generated Node #0,3,2: 79:[54, 20] Operation: 94-74=20
Exploring Operation: 94-54=40, Resulting Numbers: [74, 40]
Generated Node #0,3,3: 79:[74, 40] Operation: 94-54=40
Exploring Operation: 74-54=20, Resulting Numbers: [94, 20]
Generated Node #0,3,4: 79:[94, 20] Operation: 74-54=20
Moving to Node #0,3,3
Current State: 79:[74, 40], Operations: ['96-2=94', '94-54=40']
Exploring Operation: 74+40=114, Resulting Numbers: [114]
114,79 unequal: No Solution
Exploring Operation: 74*40=2960, Resulting Numbers: [2960]
2960,79 unequal: No Solution
Exploring Operation: 74-40=34, Resulting Numbers: [34]
34,79 unequal: No Solution
Moving to Node #0,3,1
Current State: 79:[94, 128], Operations: ['96-2=94', '54+74=128']
Exploring Operation: 128-94=34, Resulting Numbers: [34]
34,79 unequal: No Solution
Exploring Operation: 94+128=222, Resulting Numbers: [222]
222,79 unequal: No Solution
Exploring Operation: 94*128=12032, Resulting Numbers: [12032]
12032,79 unequal: No Solution
Moving to Node #0,3,0
Current State: 79:[74, 148], Operations: ['96-2=94', '54+94=148']
Exploring Operation: 74*148=10952, Resulting Numbers: [10952]
10952,79 unequal: No Solution
Exploring Operation: 148/74=2, Resulting Numbers: [2]
2,79 unequal: No Solution
Exploring Operation: 74+148=222, Resulting Numbers: [222]
222,79 unequal: No Solution
Exploring Operation: 148-74=74, Resulting Numbers: [74]
74,79 unequal: No Solution
Moving to Node #0,3,4
Current State: 79:[94, 20], Operations: ['96-2=94', '74-54=20']
Exploring Operation: 94-20=74, Resulting Numbers: [74]
74,79 unequal: No Solution
Exploring Operation: 94*20=1880, Resulting Numbers: [1880]
1880,79 unequal: No Solution
Exploring Operation: 94+20=114, Resulting Numbers: [114]
114,79 unequal: No Solution
Moving to Node #0,3,2
Current State: 79:[54, 20], Operations: ['96-2=94', '94-74=20']
Exploring Operation: 54*20=1080, Resulting Numbers: [1080]
1080,79 unequal: No Solution
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,79 unequal: No Solution
Exploring Operation: 54+20=74, Resulting Numbers: [74]
74,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[96, 74, 52], Operations: ['54-2=52']
Exploring Operation: 74+52=126, Resulting Numbers: [96, 126]
Generated Node #0,0,0: 79:[96, 126] Operation: 74+52=126
Exploring Operation: 96+52=148, Resulting Numbers: [74, 148]
Generated Node #0,0,1: 79:[74, 148] Operation: 96+52=148
Exploring Operation: 74-52=22, Resulting Numbers: [96, 22]
Generated Node #0,0,2: 79:[96, 22] Operation: 74-52=22
Exploring Operation: 96-74=22, Resulting Numbers: [52, 22]
Generated Node #0,0,3: 79:[52, 22] Operation: 96-74=22
Exploring Operation: 96-52=44, Resulting Numbers: [74, 44]
Generated Node #0,0,4: 79:[74, 44] Operation: 96-52=44
Moving to Node #0,0,4
Current State: 79:[74, 44], Operations: ['54-2=52', '96-52=44']
Exploring Operation: 74*44=3256, Resulting Numbers: [3256]
3256,79 unequal: No Solution
Exploring Operation: 74+44=118, Resulting Numbers: [118]
118,79 unequal: No Solution
Exploring Operation: 74-44=30, Resulting Numbers: [30]
30,79 unequal: No Solution
Moving to Node #0,0,0
Current State: 79:[96, 126], Operations: ['54-2=52', '74+52=126']
Exploring Operation: 96+126=222, Resulting Numbers: [222]
222,79 unequal: No Solution
Exploring Operation: 126-96=30, Resulting Numbers: [30]
30,79 unequal: No Solution
Exploring Operation: 96*126=12096, Resulting Numbers: [12096]
12096,79 unequal: No Solution
Moving to Node #0,0,1
Current State: 79:[74, 148], Operations: ['54-2=52', '96+52=148']
Exploring Operation: 74*148=10952, Resulting Numbers: [10952]
10952,79 unequal: No Solution
Exploring Operation: 74+148=222, Resulting Numbers: [222]
222,79 unequal: No Solution
Exploring Operation: 148-74=74, Resulting Numbers: [74]
74,79 unequal: No Solution
Exploring Operation: 148/74=2, Resulting Numbers: [2]
2,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[96, 22], Operations: ['54-2=52', '74-52=22']
Exploring Operation: 96+22=118, Resulting Numbers: [118]
118,79 unequal: No Solution
Exploring Operation: 96-22=74, Resulting Numbers: [74]
74,79 unequal: No Solution
Exploring Operation: 96*22=2112, Resulting Numbers: [2112]
2112,79 unequal: No Solution
Moving to Node #0,0,3
Current State: 79:[52, 22], Operations: ['54-2=52', '96-74=22']
Exploring Operation: 52*22=1144, Resulting Numbers: [1144]
1144,79 unequal: No Solution
Exploring Operation: 52+22=74, Resulting Numbers: [74]
74,79 unequal: No Solution
Exploring Operation: 52-22=30, Resulting Numbers: [30]
30,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 79:[54, 74, 98], Operations: ['2+96=98']
Exploring Operation: 74-54=20, Resulting Numbers: [98, 20]
Generated Node #0,4,0: 79:[98, 20] Operation: 74-54=20
Exploring Operation: 98-54=44, Resulting Numbers: [74, 44]
Generated Node #0,4,1: 79:[74, 44] Operation: 98-54=44
Exploring Operation: 54+74=128, Resulting Numbers: [98, 128]
Generated Node #0,4,2: 79:[98, 128] Operation: 54+74=128
Exploring Operation: 98-74=24, Resulting Numbers: [54, 24]
Generated Node #0,4,3: 79:[54, 24] Operation: 98-74=24
Exploring Operation: 54+98=152, Resulting Numbers: [74, 152]
Generated Node #0,4,4: 79:[74, 152] Operation: 54+98=152
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 79:[74, 44], Operations: ['2+96=98', '98-54=44']
Exploring Operation: 74*44=3256, Resulting Numbers: [3256]
3256,79 unequal: No Solution
Exploring Operation: 74+44=118, Resulting Numbers: [118]
118,79 unequal: No Solution
Exploring Operation: 74-44=30, Resulting Numbers: [30]
30,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 79:[98, 128], Operations: ['2+96=98', '54+74=128']
Exploring Operation: 98+128=226, Resulting Numbers: [226]
226,79 unequal: No Solution
Exploring Operation: 98*128=12544, Resulting Numbers: [12544]
12544,79 unequal: No Solution
Exploring Operation: 128-98=30, Resulting Numbers: [30]
30,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 79:[98, 20], Operations: ['2+96=98', '74-54=20']
Exploring Operation: 98+20=118, Resulting Numbers: [118]
118,79 unequal: No Solution
Exploring Operation: 98-20=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Exploring Operation: 98*20=1960, Resulting Numbers: [1960]
1960,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 79:[74, 152], Operations: ['2+96=98', '54+98=152']
Exploring Operation: 74+152=226, Resulting Numbers: [226]
226,79 unequal: No Solution
Exploring Operation: 74*152=11248, Resulting Numbers: [11248]
11248,79 unequal: No Solution
Exploring Operation: 152-74=78, Resulting Numbers: [78]
78,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 79:[54, 24], Operations: ['2+96=98', '98-74=24']
Exploring Operation: 54*24=1296, Resulting Numbers: [1296]
1296,79 unequal: No Solution
Exploring Operation: 54+24=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Exploring Operation: 54-24=30, Resulting Numbers: [30]
30,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
83,
99,
68,
28
] | 86 | [
"83+99=182",
"68+28=96",
"182-96=86"
] | Current State: 86:[83, 99, 68, 28], Operations: []
Exploring Operation: 83+99=182, Resulting Numbers: [68, 28, 182]
Generated Node #2: [68, 28, 182] from Operation: 83+99=182
Current State: 86:[68, 28, 182], Operations: ['83+99=182']
Exploring Operation: 68+28=96, Resulting Numbers: [182, 96]
Generated Node #3: [182, 96] from Operation: 68+28=96
Current State: 86:[182, 96], Operations: ['83+99=182', '68+28=96']
Exploring Operation: 182-96=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[83, 99, 68, 28], Operations: []
Exploring Operation: 83-68=15, Resulting Numbers: [99, 28, 15]
Generated Node #0,0: 86:[99, 28, 15] Operation: 83-68=15
Exploring Operation: 99-68=31, Resulting Numbers: [83, 28, 31]
Generated Node #0,1: 86:[83, 28, 31] Operation: 99-68=31
Exploring Operation: 68-28=40, Resulting Numbers: [83, 99, 40]
Generated Node #0,2: 86:[83, 99, 40] Operation: 68-28=40
Exploring Operation: 68+28=96, Resulting Numbers: [83, 99, 96]
Generated Node #0,3: 86:[83, 99, 96] Operation: 68+28=96
Exploring Operation: 99-28=71, Resulting Numbers: [83, 68, 71]
Generated Node #0,4: 86:[83, 68, 71] Operation: 99-28=71
Moving to Node #0,2
Current State: 86:[83, 99, 40], Operations: ['68-28=40']
Exploring Operation: 99-83=16, Resulting Numbers: [40, 16]
Generated Node #0,2,0: 86:[40, 16] Operation: 99-83=16
Exploring Operation: 99+40=139, Resulting Numbers: [83, 139]
Generated Node #0,2,1: 86:[83, 139] Operation: 99+40=139
Exploring Operation: 99-40=59, Resulting Numbers: [83, 59]
Generated Node #0,2,2: 86:[83, 59] Operation: 99-40=59
Exploring Operation: 83-40=43, Resulting Numbers: [99, 43]
Generated Node #0,2,3: 86:[99, 43] Operation: 83-40=43
Exploring Operation: 83+40=123, Resulting Numbers: [99, 123]
Generated Node #0,2,4: 86:[99, 123] Operation: 83+40=123
Moving to Node #0,3
Current State: 86:[83, 99, 96], Operations: ['68+28=96']
Exploring Operation: 83+96=179, Resulting Numbers: [99, 179]
Generated Node #0,3,0: 86:[99, 179] Operation: 83+96=179
Exploring Operation: 96-83=13, Resulting Numbers: [99, 13]
Generated Node #0,3,1: 86:[99, 13] Operation: 96-83=13
Exploring Operation: 83+99=182, Resulting Numbers: [96, 182]
Generated Node #0,3,2: 86:[96, 182] Operation: 83+99=182
Exploring Operation: 99-96=3, Resulting Numbers: [83, 3]
Generated Node #0,3,3: 86:[83, 3] Operation: 99-96=3
Exploring Operation: 99-83=16, Resulting Numbers: [96, 16]
Generated Node #0,3,4: 86:[96, 16] Operation: 99-83=16
Moving to Node #0,1
Current State: 86:[83, 28, 31], Operations: ['99-68=31']
Exploring Operation: 31-28=3, Resulting Numbers: [83, 3]
Generated Node #0,1,0: 86:[83, 3] Operation: 31-28=3
Exploring Operation: 83+28=111, Resulting Numbers: [31, 111]
Generated Node #0,1,1: 86:[31, 111] Operation: 83+28=111
Exploring Operation: 83-31=52, Resulting Numbers: [28, 52]
Generated Node #0,1,2: 86:[28, 52] Operation: 83-31=52
Exploring Operation: 28+31=59, Resulting Numbers: [83, 59]
Generated Node #0,1,3: 86:[83, 59] Operation: 28+31=59
Exploring Operation: 83-28=55, Resulting Numbers: [31, 55]
Generated Node #0,1,4: 86:[31, 55] Operation: 83-28=55
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 86:[83, 3], Operations: ['99-68=31', '31-28=3']
Exploring Operation: 83+3=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[83, 99, 68, 28], Operations: []
Exploring Operation: 99-68=31, Resulting Numbers: [83, 28, 31]
Generated Node #0,1: 86:[83, 28, 31] Operation: 99-68=31
Moving to Node #0,1
Current State: 86:[83, 28, 31], Operations: ['99-68=31']
Exploring Operation: 31-28=3, Resulting Numbers: [83, 3]
Generated Node #0,1,0: 86:[83, 3] Operation: 31-28=3
Moving to Node #0,1,0
Current State: 86:[83, 3], Operations: ['99-68=31', '31-28=3']
Exploring Operation: 83+3=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_5 | mult_heuristic |
[
54,
97,
27,
6
] | 76 | [
"97-54=43",
"27+6=33",
"43+33=76"
] | Current State: 76:[54, 97, 27, 6], Operations: []
Exploring Operation: 97-54=43, Resulting Numbers: [27, 6, 43]
Generated Node #2: [27, 6, 43] from Operation: 97-54=43
Current State: 76:[27, 6, 43], Operations: ['97-54=43']
Exploring Operation: 27+6=33, Resulting Numbers: [43, 33]
Generated Node #3: [43, 33] from Operation: 27+6=33
Current State: 76:[43, 33], Operations: ['97-54=43', '27+6=33']
Exploring Operation: 43+33=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[54, 97, 27, 6], Operations: []
Exploring Operation: 97-27=70, Resulting Numbers: [54, 6, 70]
Generated Node #0,0: 76:[54, 6, 70] Operation: 97-27=70
Exploring Operation: 54/27=2, Resulting Numbers: [97, 6, 2]
Generated Node #0,1: 76:[97, 6, 2] Operation: 54/27=2
Exploring Operation: 97-54=43, Resulting Numbers: [27, 6, 43]
Generated Node #0,2: 76:[27, 6, 43] Operation: 97-54=43
Exploring Operation: 54+27=81, Resulting Numbers: [97, 6, 81]
Generated Node #0,3: 76:[97, 6, 81] Operation: 54+27=81
Start Sub Search at level 1: Moving to Node #0,2
Current State: 76:[27, 6, 43], Operations: ['97-54=43']
Exploring Operation: 43-27=16, Resulting Numbers: [6, 16]
Generated Node #0,2,0: 76:[6, 16] Operation: 43-27=16
Exploring Operation: 27-6=21, Resulting Numbers: [43, 21]
Generated Node #0,2,1: 76:[43, 21] Operation: 27-6=21
Exploring Operation: 43-6=37, Resulting Numbers: [27, 37]
Generated Node #0,2,2: 76:[27, 37] Operation: 43-6=37
Exploring Operation: 27+43=70, Resulting Numbers: [6, 70]
Generated Node #0,2,3: 76:[6, 70] Operation: 27+43=70
Moving to Node #0,2,0
Current State: 76:[6, 16], Operations: ['97-54=43', '43-27=16']
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,76 unequal: No Solution
Exploring Operation: 6+16=22, Resulting Numbers: [22]
22,76 unequal: No Solution
Exploring Operation: 6*16=96, Resulting Numbers: [96]
96,76 unequal: No Solution
Moving to Node #0,2,1
Current State: 76:[43, 21], Operations: ['97-54=43', '27-6=21']
Exploring Operation: 43*21=903, Resulting Numbers: [903]
903,76 unequal: No Solution
Exploring Operation: 43+21=64, Resulting Numbers: [64]
64,76 unequal: No Solution
Exploring Operation: 43-21=22, Resulting Numbers: [22]
22,76 unequal: No Solution
Moving to Node #0,2,3
Current State: 76:[6, 70], Operations: ['97-54=43', '27+43=70']
Exploring Operation: 6*70=420, Resulting Numbers: [420]
420,76 unequal: No Solution
Exploring Operation: 6+70=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[54, 97, 27, 6], Operations: []
Exploring Operation: 97-54=43, Resulting Numbers: [27, 6, 43]
Generated Node #0,2: 76:[27, 6, 43] Operation: 97-54=43
Moving to Node #0,2
Current State: 76:[27, 6, 43], Operations: ['97-54=43']
Exploring Operation: 27+43=70, Resulting Numbers: [6, 70]
Generated Node #0,2,3: 76:[6, 70] Operation: 27+43=70
Moving to Node #0,2,3
Current State: 76:[6, 70], Operations: ['97-54=43', '27+43=70']
Exploring Operation: 6+70=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_4 | sum_heuristic |
[
90,
3,
19,
5
] | 18 | [
"19+5=24",
"3*24=72",
"90-72=18"
] | Current State: 18:[90, 3, 19, 5], Operations: []
Exploring Operation: 19+5=24, Resulting Numbers: [90, 3, 24]
Generated Node #2: [90, 3, 24] from Operation: 19+5=24
Current State: 18:[90, 3, 24], Operations: ['19+5=24']
Exploring Operation: 3*24=72, Resulting Numbers: [90, 72]
Generated Node #3: [90, 72] from Operation: 3*24=72
Current State: 18:[90, 72], Operations: ['19+5=24', '3*24=72']
Exploring Operation: 90-72=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[90, 3, 19, 5], Operations: []
Exploring Operation: 90/3=30, Resulting Numbers: [19, 5, 30]
Generated Node #0,0: 18:[19, 5, 30] Operation: 90/3=30
Exploring Operation: 90/5=18, Resulting Numbers: [3, 19, 18]
Generated Node #0,1: 18:[3, 19, 18] Operation: 90/5=18
Moving to Node #0,1
Current State: 18:[3, 19, 18], Operations: ['90/5=18']
Exploring Operation: 18/3=6, Resulting Numbers: [19, 6]
Generated Node #0,1,0: 18:[19, 6] Operation: 18/3=6
Exploring Operation: 19-18=1, Resulting Numbers: [3, 1]
Generated Node #0,1,1: 18:[3, 1] Operation: 19-18=1
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 18:[19, 6], Operations: ['90/5=18', '18/3=6']
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,18 unequal: No Solution
Exploring Operation: 19+6=25, Resulting Numbers: [25]
25,18 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 #0,1,1
Current State: 18:[3, 1], Operations: ['90/5=18', '19-18=1']
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,18 unequal: No Solution
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,18 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: 18:[19, 5, 30], Operations: ['90/3=30']
Exploring Operation: 30/5=6, Resulting Numbers: [19, 6]
Generated Node #0,0,0: 18:[19, 6] Operation: 30/5=6
Exploring Operation: 30-19=11, Resulting Numbers: [5, 11]
Generated Node #0,0,1: 18:[5, 11] Operation: 30-19=11
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 18:[19, 6], Operations: ['90/3=30', '30/5=6']
Exploring Operation: 19+6=25, Resulting Numbers: [25]
25,18 unequal: No Solution
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 18:[5, 11], Operations: ['90/3=30', '30-19=11']
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,18 unequal: No Solution
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,18 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 |
[
62,
33,
62,
87
] | 65 | [
"62-33=29",
"87/29=3",
"62+3=65"
] | Current State: 65:[62, 33, 62, 87], Operations: []
Exploring Operation: 62-33=29, Resulting Numbers: [87, 29]
Generated Node #2: [87, 29] from Operation: 62-33=29
Current State: 65:[87, 29], Operations: ['62-33=29']
Exploring Operation: 87/29=3, Resulting Numbers: [3]
3,65 equal: Goal Reached
Exploring Operation: 62+3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[62, 33, 62, 87], Operations: []
Exploring Operation: 87-33=54, Resulting Numbers: [62, 62, 54]
Generated Node #0,0: 65:[62, 62, 54] Operation: 87-33=54
Moving to Node #0,0
Current State: 65:[62, 62, 54], Operations: ['87-33=54']
Exploring Operation: 62-54=8, Resulting Numbers: [62, 8]
Generated Node #0,0,0: 65:[62, 8] Operation: 62-54=8
Moving to Node #0,0,0
Current State: 65:[62, 8], Operations: ['87-33=54', '62-54=8']
Exploring Operation: 62+8=70, Resulting Numbers: [70]
70,65 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
2,
52,
51,
15
] | 90 | [
"2+52=54",
"51-15=36",
"54+36=90"
] | Current State: 90:[2, 52, 51, 15], Operations: []
Exploring Operation: 2+52=54, Resulting Numbers: [51, 15, 54]
Generated Node #2: [51, 15, 54] from Operation: 2+52=54
Current State: 90:[51, 15, 54], Operations: ['2+52=54']
Exploring Operation: 51-15=36, Resulting Numbers: [54, 36]
Generated Node #3: [54, 36] from Operation: 51-15=36
Current State: 90:[54, 36], Operations: ['2+52=54', '51-15=36']
Exploring Operation: 54+36=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[2, 52, 51, 15], Operations: []
Exploring Operation: 52-51=1, Resulting Numbers: [2, 15, 1]
Generated Node #0,0: 90:[2, 15, 1] Operation: 52-51=1
Exploring Operation: 52/2=26, Resulting Numbers: [51, 15, 26]
Generated Node #0,1: 90:[51, 15, 26] Operation: 52/2=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[2, 15, 1], Operations: ['52-51=1']
Exploring Operation: 2*1=2, Resulting Numbers: [15, 2]
Generated Node #0,0,0: 90:[15, 2] Operation: 2*1=2
Exploring Operation: 2+1=3, Resulting Numbers: [15, 3]
Generated Node #0,0,1: 90:[15, 3] Operation: 2+1=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 90:[15, 2], Operations: ['52-51=1', '2*1=2']
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,90 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:[15, 3], Operations: ['52-51=1', '2+1=3']
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,90 unequal: No Solution
Exploring Operation: 15+3=18, Resulting Numbers: [18]
18,90 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 #0,1
Current State: 90:[51, 15, 26], Operations: ['52/2=26']
Exploring Operation: 51-26=25, Resulting Numbers: [15, 25]
Generated Node #0,1,0: 90:[15, 25] Operation: 51-26=25
Exploring Operation: 26-15=11, Resulting Numbers: [51, 11]
Generated Node #0,1,1: 90:[51, 11] Operation: 26-15=11
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 90:[15, 25], Operations: ['52/2=26', '51-26=25']
Exploring Operation: 25-15=10, Resulting Numbers: [10]
10,90 unequal: No Solution
Exploring Operation: 15+25=40, Resulting Numbers: [40]
40,90 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 #0,1,1
Current State: 90:[51, 11], Operations: ['52/2=26', '26-15=11']
Exploring Operation: 51-11=40, Resulting Numbers: [40]
40,90 unequal: No Solution
Exploring Operation: 51+11=62, Resulting Numbers: [62]
62,90 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_2 | mult_heuristic |
[
38,
48,
35,
90
] | 39 | [
"38+48=86",
"35+90=125",
"125-86=39"
] | Current State: 39:[38, 48, 35, 90], Operations: []
Exploring Operation: 38+48=86, Resulting Numbers: [35, 90, 86]
Generated Node #2: [35, 90, 86] from Operation: 38+48=86
Current State: 39:[35, 90, 86], Operations: ['38+48=86']
Exploring Operation: 35+90=125, Resulting Numbers: [86, 125]
Generated Node #3: [86, 125] from Operation: 35+90=125
Current State: 39:[86, 125], Operations: ['38+48=86', '35+90=125']
Exploring Operation: 125-86=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[38, 48, 35, 90], Operations: []
Exploring Operation: 90-48=42, Resulting Numbers: [38, 35, 42]
Generated Node #0,0: 39:[38, 35, 42] Operation: 90-48=42
Exploring Operation: 90-38=52, Resulting Numbers: [48, 35, 52]
Generated Node #0,1: 39:[48, 35, 52] Operation: 90-38=52
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[38, 35, 42], Operations: ['90-48=42']
Exploring Operation: 42-38=4, Resulting Numbers: [35, 4]
Generated Node #0,0,0: 39:[35, 4] Operation: 42-38=4
Exploring Operation: 38-35=3, Resulting Numbers: [42, 3]
Generated Node #0,0,1: 39:[42, 3] Operation: 38-35=3
Moving to Node #0,0,1
Current State: 39:[42, 3], Operations: ['90-48=42', '38-35=3']
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[38, 48, 35, 90], Operations: []
Exploring Operation: 90-48=42, Resulting Numbers: [38, 35, 42]
Generated Node #0,0: 39:[38, 35, 42] Operation: 90-48=42
Moving to Node #0,0
Current State: 39:[38, 35, 42], Operations: ['90-48=42']
Exploring Operation: 38-35=3, Resulting Numbers: [42, 3]
Generated Node #0,0,1: 39:[42, 3] Operation: 38-35=3
Moving to Node #0,0,1
Current State: 39:[42, 3], Operations: ['90-48=42', '38-35=3']
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
72,
82,
52,
46
] | 50 | [
"82-46=36",
"72/36=2",
"52-2=50"
] | Current State: 50:[72, 82, 52, 46], Operations: []
Exploring Operation: 82-46=36, Resulting Numbers: [72, 52, 36]
Generated Node #2: [72, 52, 36] from Operation: 82-46=36
Current State: 50:[72, 52, 36], Operations: ['82-46=36']
Exploring Operation: 72/36=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 72/36=2
Current State: 50:[52, 2], Operations: ['82-46=36', '72/36=2']
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[72, 82, 52, 46], Operations: []
Exploring Operation: 72-46=26, Resulting Numbers: [82, 52, 26]
Generated Node #0,0: 50:[82, 52, 26] Operation: 72-46=26
Exploring Operation: 82-72=10, Resulting Numbers: [52, 46, 10]
Generated Node #0,1: 50:[52, 46, 10] Operation: 82-72=10
Exploring Operation: 82-52=30, Resulting Numbers: [72, 46, 30]
Generated Node #0,2: 50:[72, 46, 30] Operation: 82-52=30
Moving to Node #0,1
Current State: 50:[52, 46, 10], Operations: ['82-72=10']
Exploring Operation: 52-46=6, Resulting Numbers: [10, 6]
Generated Node #0,1,0: 50:[10, 6] Operation: 52-46=6
Exploring Operation: 46+10=56, Resulting Numbers: [52, 56]
Generated Node #0,1,1: 50:[52, 56] Operation: 46+10=56
Exploring Operation: 52-10=42, Resulting Numbers: [46, 42]
Generated Node #0,1,2: 50:[46, 42] Operation: 52-10=42
Moving to Node #0,2
Current State: 50:[72, 46, 30], Operations: ['82-52=30']
Exploring Operation: 46-30=16, Resulting Numbers: [72, 16]
Generated Node #0,2,0: 50:[72, 16] Operation: 46-30=16
Exploring Operation: 72-46=26, Resulting Numbers: [30, 26]
Generated Node #0,2,1: 50:[30, 26] Operation: 72-46=26
Exploring Operation: 72-30=42, Resulting Numbers: [46, 42]
Generated Node #0,2,2: 50:[46, 42] Operation: 72-30=42
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 50:[30, 26], Operations: ['82-52=30', '72-46=26']
Exploring Operation: 30+26=56, Resulting Numbers: [56]
56,50 unequal: No Solution
Exploring Operation: 30-26=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Exploring Operation: 30*26=780, Resulting Numbers: [780]
780,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 50:[46, 42], Operations: ['82-52=30', '72-30=42']
Exploring Operation: 46+42=88, Resulting Numbers: [88]
88,50 unequal: No Solution
Exploring Operation: 46*42=1932, Resulting Numbers: [1932]
1932,50 unequal: No Solution
Exploring Operation: 46-42=4, Resulting Numbers: [4]
4,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 50:[72, 16], Operations: ['82-52=30', '46-30=16']
Exploring Operation: 72*16=1152, Resulting Numbers: [1152]
1152,50 unequal: No Solution
Exploring Operation: 72-16=56, Resulting Numbers: [56]
56,50 unequal: No Solution
Exploring Operation: 72+16=88, Resulting Numbers: [88]
88,50 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: 50:[82, 52, 26], Operations: ['72-46=26']
Exploring Operation: 52/26=2, Resulting Numbers: [82, 2]
Generated Node #0,0,0: 50:[82, 2] Operation: 52/26=2
Exploring Operation: 82-26=56, Resulting Numbers: [52, 56]
Generated Node #0,0,1: 50:[52, 56] Operation: 82-26=56
Exploring Operation: 82-52=30, Resulting Numbers: [26, 30]
Generated Node #0,0,2: 50:[26, 30] Operation: 82-52=30
Moving to Node #0,1,0
Current State: 50:[10, 6], Operations: ['82-72=10', '52-46=6']
Exploring Operation: 10+6=16, Resulting Numbers: [16]
16,50 unequal: No Solution
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,50 unequal: No Solution
Moving to Node #0,0,2
Current State: 50:[26, 30], Operations: ['72-46=26', '82-52=30']
Exploring Operation: 30-26=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Exploring Operation: 26+30=56, Resulting Numbers: [56]
56,50 unequal: No Solution
Exploring Operation: 26*30=780, Resulting Numbers: [780]
780,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[52, 56], Operations: ['72-46=26', '82-26=56']
Exploring Operation: 52*56=2912, Resulting Numbers: [2912]
2912,50 unequal: No Solution
Exploring Operation: 52+56=108, Resulting Numbers: [108]
108,50 unequal: No Solution
Exploring Operation: 56-52=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Moving to Node #0,1,1
Current State: 50:[52, 56], Operations: ['82-72=10', '46+10=56']
Exploring Operation: 52*56=2912, Resulting Numbers: [2912]
2912,50 unequal: No Solution
Exploring Operation: 52+56=108, Resulting Numbers: [108]
108,50 unequal: No Solution
Exploring Operation: 56-52=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Moving to Node #0,1,2
Current State: 50:[46, 42], Operations: ['82-72=10', '52-10=42']
Exploring Operation: 46+42=88, Resulting Numbers: [88]
88,50 unequal: No Solution
Exploring Operation: 46*42=1932, Resulting Numbers: [1932]
1932,50 unequal: No Solution
Exploring Operation: 46-42=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Moving to Node #0,0,0
Current State: 50:[82, 2], Operations: ['72-46=26', '52/26=2']
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,50 unequal: No Solution
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,50 unequal: No Solution
Exploring Operation: 82+2=84, Resulting Numbers: [84]
84,50 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
69,
36,
21,
9
] | 75 | [
"69+36=105",
"21+9=30",
"105-30=75"
] | Current State: 75:[69, 36, 21, 9], Operations: []
Exploring Operation: 69+36=105, Resulting Numbers: [21, 9, 105]
Generated Node #2: [21, 9, 105] from Operation: 69+36=105
Current State: 75:[21, 9, 105], Operations: ['69+36=105']
Exploring Operation: 21+9=30, Resulting Numbers: [105, 30]
Generated Node #3: [105, 30] from Operation: 21+9=30
Current State: 75:[105, 30], Operations: ['69+36=105', '21+9=30']
Exploring Operation: 105-30=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[69, 36, 21, 9], Operations: []
Exploring Operation: 36/9=4, Resulting Numbers: [69, 21, 4]
Generated Node #0,0: 75:[69, 21, 4] Operation: 36/9=4
Exploring Operation: 36-21=15, Resulting Numbers: [69, 9, 15]
Generated Node #0,1: 75:[69, 9, 15] Operation: 36-21=15
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[69, 9, 15], Operations: ['36-21=15']
Exploring Operation: 9+15=24, Resulting Numbers: [69, 24]
Generated Node #0,1,0: 75:[69, 24] Operation: 9+15=24
Exploring Operation: 69+9=78, Resulting Numbers: [15, 78]
Generated Node #0,1,1: 75:[15, 78] Operation: 69+9=78
Moving to Node #0,1,1
Current State: 75:[15, 78], Operations: ['36-21=15', '69+9=78']
Exploring Operation: 78-15=63, Resulting Numbers: [63]
63,75 unequal: No Solution
Exploring Operation: 15+78=93, Resulting Numbers: [93]
93,75 unequal: No Solution
Moving to Node #0,1,0
Current State: 75:[69, 24], Operations: ['36-21=15', '9+15=24']
Exploring Operation: 69-24=45, Resulting Numbers: [45]
45,75 unequal: No Solution
Exploring Operation: 69+24=93, Resulting Numbers: [93]
93,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[69, 21, 4], Operations: ['36/9=4']
Exploring Operation: 21+4=25, Resulting Numbers: [69, 25]
Generated Node #0,0,0: 75:[69, 25] Operation: 21+4=25
Exploring Operation: 69+4=73, Resulting Numbers: [21, 73]
Generated Node #0,0,1: 75:[21, 73] Operation: 69+4=73
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 75:[69, 25], Operations: ['36/9=4', '21+4=25']
Exploring Operation: 69+25=94, Resulting Numbers: [94]
94,75 unequal: No Solution
Exploring Operation: 69-25=44, Resulting Numbers: [44]
44,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 75:[21, 73], Operations: ['36/9=4', '69+4=73']
Exploring Operation: 73-21=52, Resulting Numbers: [52]
52,75 unequal: No Solution
Exploring Operation: 21+73=94, Resulting Numbers: [94]
94,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
89,
2,
66,
96
] | 25 | [
"89-66=23",
"96/2=48",
"48-23=25"
] | Current State: 25:[89, 2, 66, 96], Operations: []
Exploring Operation: 89-66=23, Resulting Numbers: [2, 96, 23]
Generated Node #2: [2, 96, 23] from Operation: 89-66=23
Current State: 25:[2, 96, 23], Operations: ['89-66=23']
Exploring Operation: 96/2=48, Resulting Numbers: [23, 48]
Generated Node #3: [23, 48] from Operation: 96/2=48
Current State: 25:[23, 48], Operations: ['89-66=23', '96/2=48']
Exploring Operation: 48-23=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[89, 2, 66, 96], Operations: []
Exploring Operation: 96-89=7, Resulting Numbers: [2, 66, 7]
Generated Node #0,0: 25:[2, 66, 7] Operation: 96-89=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[2, 66, 7], Operations: ['96-89=7']
Exploring Operation: 66/2=33, Resulting Numbers: [7, 33]
Generated Node #0,0,0: 25:[7, 33] Operation: 66/2=33
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 25:[7, 33], Operations: ['96-89=7', '66/2=33']
Exploring Operation: 33-7=26, Resulting Numbers: [26]
26,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
40,
99,
70,
89
] | 66 | [
"99-89=10",
"40/10=4",
"70-4=66"
] | Current State: 66:[40, 99, 70, 89], Operations: []
Exploring Operation: 99-89=10, Resulting Numbers: [40, 70, 10]
Generated Node #2: [40, 70, 10] from Operation: 99-89=10
Current State: 66:[40, 70, 10], Operations: ['99-89=10']
Exploring Operation: 40/10=4, Resulting Numbers: [70, 4]
Generated Node #3: [70, 4] from Operation: 40/10=4
Current State: 66:[70, 4], Operations: ['99-89=10', '40/10=4']
Exploring Operation: 70-4=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[40, 99, 70, 89], Operations: []
Exploring Operation: 99-40=59, Resulting Numbers: [70, 89, 59]
Generated Node #0,0: 66:[70, 89, 59] Operation: 99-40=59
Exploring Operation: 99-89=10, Resulting Numbers: [40, 70, 10]
Generated Node #0,1: 66:[40, 70, 10] Operation: 99-89=10
Exploring Operation: 99-70=29, Resulting Numbers: [40, 89, 29]
Generated Node #0,2: 66:[40, 89, 29] Operation: 99-70=29
Moving to Node #0,1
Current State: 66:[40, 70, 10], Operations: ['99-89=10']
Exploring Operation: 70-40=30, Resulting Numbers: [10, 30]
Generated Node #0,1,0: 66:[10, 30] Operation: 70-40=30
Exploring Operation: 40/10=4, Resulting Numbers: [70, 4]
Generated Node #0,1,1: 66:[70, 4] Operation: 40/10=4
Exploring Operation: 40-10=30, Resulting Numbers: [70, 30]
Generated Node #0,1,2: 66:[70, 30] Operation: 40-10=30
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 66:[10, 30], Operations: ['99-89=10', '70-40=30']
Exploring Operation: 30/10=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Exploring Operation: 10+30=40, Resulting Numbers: [40]
40,66 unequal: No Solution
Exploring Operation: 30-10=20, Resulting Numbers: [20]
20,66 unequal: No Solution
No 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: 66:[70, 4], Operations: ['99-89=10', '40/10=4']
Exploring Operation: 70+4=74, Resulting Numbers: [74]
74,66 unequal: No Solution
Exploring Operation: 70*4=280, Resulting Numbers: [280]
280,66 unequal: No Solution
Exploring Operation: 70-4=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[40, 99, 70, 89], Operations: []
Exploring Operation: 99-89=10, Resulting Numbers: [40, 70, 10]
Generated Node #0,1: 66:[40, 70, 10] Operation: 99-89=10
Moving to Node #0,1
Current State: 66:[40, 70, 10], Operations: ['99-89=10']
Exploring Operation: 40/10=4, Resulting Numbers: [70, 4]
Generated Node #0,1,1: 66:[70, 4] Operation: 40/10=4
Moving to Node #0,1,1
Current State: 66:[70, 4], Operations: ['99-89=10', '40/10=4']
Exploring Operation: 70-4=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | sum_heuristic |
[
60,
84,
79,
19
] | 31 | [
"84-79=5",
"60/5=12",
"19+12=31"
] | Current State: 31:[60, 84, 79, 19], Operations: []
Exploring Operation: 84-79=5, Resulting Numbers: [60, 19, 5]
Generated Node #2: [60, 19, 5] from Operation: 84-79=5
Current State: 31:[60, 19, 5], Operations: ['84-79=5']
Exploring Operation: 60/5=12, Resulting Numbers: [19, 12]
Generated Node #3: [19, 12] from Operation: 60/5=12
Current State: 31:[19, 12], Operations: ['84-79=5', '60/5=12']
Exploring Operation: 19+12=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[60, 84, 79, 19], Operations: []
Exploring Operation: 84-60=24, Resulting Numbers: [79, 19, 24]
Generated Node #0,0: 31:[79, 19, 24] Operation: 84-60=24
Exploring Operation: 60-19=41, Resulting Numbers: [84, 79, 41]
Generated Node #0,1: 31:[84, 79, 41] Operation: 60-19=41
Exploring Operation: 79-60=19, Resulting Numbers: [84, 19, 19]
Generated Node #0,2: 31:[84, 19, 19] Operation: 79-60=19
Exploring Operation: 84-79=5, Resulting Numbers: [60, 19, 5]
Generated Node #0,3: 31:[60, 19, 5] Operation: 84-79=5
Moving to Node #0,0
Current State: 31:[79, 19, 24], Operations: ['84-60=24']
Exploring Operation: 19+24=43, Resulting Numbers: [79, 43]
Generated Node #0,0,0: 31:[79, 43] Operation: 19+24=43
Exploring Operation: 79-19=60, Resulting Numbers: [24, 60]
Generated Node #0,0,1: 31:[24, 60] Operation: 79-19=60
Exploring Operation: 79-24=55, Resulting Numbers: [19, 55]
Generated Node #0,0,2: 31:[19, 55] Operation: 79-24=55
Exploring Operation: 79+19=98, Resulting Numbers: [24, 98]
Generated Node #0,0,3: 31:[24, 98] Operation: 79+19=98
Moving to Node #0,3
Current State: 31:[60, 19, 5], Operations: ['84-79=5']
Exploring Operation: 60/5=12, Resulting Numbers: [19, 12]
Generated Node #0,3,0: 31:[19, 12] Operation: 60/5=12
Exploring Operation: 60-5=55, Resulting Numbers: [19, 55]
Generated Node #0,3,1: 31:[19, 55] Operation: 60-5=55
Exploring Operation: 60-19=41, Resulting Numbers: [5, 41]
Generated Node #0,3,2: 31:[5, 41] Operation: 60-19=41
Exploring Operation: 19+5=24, Resulting Numbers: [60, 24]
Generated Node #0,3,3: 31:[60, 24] Operation: 19+5=24
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 31:[19, 12], Operations: ['84-79=5', '60/5=12']
Exploring Operation: 19+12=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[60, 84, 79, 19], Operations: []
Exploring Operation: 84-79=5, Resulting Numbers: [60, 19, 5]
Generated Node #0,3: 31:[60, 19, 5] Operation: 84-79=5
Moving to Node #0,3
Current State: 31:[60, 19, 5], Operations: ['84-79=5']
Exploring Operation: 60/5=12, Resulting Numbers: [19, 12]
Generated Node #0,3,0: 31:[19, 12] Operation: 60/5=12
Moving to Node #0,3,0
Current State: 31:[19, 12], Operations: ['84-79=5', '60/5=12']
Exploring Operation: 19+12=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | mult_heuristic |
[
54,
7,
65,
45
] | 41 | [
"54+7=61",
"65-45=20",
"61-20=41"
] | Current State: 41:[54, 7, 65, 45], Operations: []
Exploring Operation: 54+7=61, Resulting Numbers: [65, 45, 61]
Generated Node #2: [65, 45, 61] from Operation: 54+7=61
Current State: 41:[65, 45, 61], Operations: ['54+7=61']
Exploring Operation: 65-45=20, Resulting Numbers: [61, 20]
Generated Node #3: [61, 20] from Operation: 65-45=20
Current State: 41:[61, 20], Operations: ['54+7=61', '65-45=20']
Exploring Operation: 61-20=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[54, 7, 65, 45], Operations: []
Exploring Operation: 65-7=58, Resulting Numbers: [54, 45, 58]
Generated Node #0,0: 41:[54, 45, 58] Operation: 65-7=58
Exploring Operation: 45-7=38, Resulting Numbers: [54, 65, 38]
Generated Node #0,1: 41:[54, 65, 38] Operation: 45-7=38
Exploring Operation: 54-7=47, Resulting Numbers: [65, 45, 47]
Generated Node #0,2: 41:[65, 45, 47] Operation: 54-7=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[54, 45, 58], Operations: ['65-7=58']
Exploring Operation: 58-54=4, Resulting Numbers: [45, 4]
Generated Node #0,0,0: 41:[45, 4] Operation: 58-54=4
Exploring Operation: 58-45=13, Resulting Numbers: [54, 13]
Generated Node #0,0,1: 41:[54, 13] Operation: 58-45=13
Exploring Operation: 54-45=9, Resulting Numbers: [58, 9]
Generated Node #0,0,2: 41:[58, 9] Operation: 54-45=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 41:[45, 4], Operations: ['65-7=58', '58-54=4']
Exploring Operation: 45*4=180, Resulting Numbers: [180]
180,41 unequal: No Solution
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[54, 7, 65, 45], Operations: []
Exploring Operation: 65-7=58, Resulting Numbers: [54, 45, 58]
Generated Node #0,0: 41:[54, 45, 58] Operation: 65-7=58
Moving to Node #0,0
Current State: 41:[54, 45, 58], Operations: ['65-7=58']
Exploring Operation: 58-54=4, Resulting Numbers: [45, 4]
Generated Node #0,0,0: 41:[45, 4] Operation: 58-54=4
Moving to Node #0,0,0
Current State: 41:[45, 4], Operations: ['65-7=58', '58-54=4']
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
71,
73,
64,
54
] | 20 | [
"73-71=2",
"64-54=10",
"2*10=20"
] | Current State: 20:[71, 73, 64, 54], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [64, 54, 2]
Generated Node #2: [64, 54, 2] from Operation: 73-71=2
Current State: 20:[64, 54, 2], Operations: ['73-71=2']
Exploring Operation: 64-54=10, Resulting Numbers: [2, 10]
Generated Node #3: [2, 10] from Operation: 64-54=10
Current State: 20:[2, 10], Operations: ['73-71=2', '64-54=10']
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[71, 73, 64, 54], Operations: []
Exploring Operation: 73-64=9, Resulting Numbers: [71, 54, 9]
Generated Node #0,0: 20:[71, 54, 9] Operation: 73-64=9
Exploring Operation: 73-71=2, Resulting Numbers: [64, 54, 2]
Generated Node #0,1: 20:[64, 54, 2] Operation: 73-71=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 20:[64, 54, 2], Operations: ['73-71=2']
Exploring Operation: 64/2=32, Resulting Numbers: [54, 32]
Generated Node #0,1,0: 20:[54, 32] Operation: 64/2=32
Exploring Operation: 64-54=10, Resulting Numbers: [2, 10]
Generated Node #0,1,1: 20:[2, 10] Operation: 64-54=10
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 20:[2, 10], Operations: ['73-71=2', '64-54=10']
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[71, 73, 64, 54], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [64, 54, 2]
Generated Node #0,1: 20:[64, 54, 2] Operation: 73-71=2
Moving to Node #0,1
Current State: 20:[64, 54, 2], Operations: ['73-71=2']
Exploring Operation: 64-54=10, Resulting Numbers: [2, 10]
Generated Node #0,1,1: 20:[2, 10] Operation: 64-54=10
Moving to Node #0,1,1
Current State: 20:[2, 10], Operations: ['73-71=2', '64-54=10']
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
93,
34,
87,
68
] | 28 | [
"93+34=127",
"87+68=155",
"155-127=28"
] | Current State: 28:[93, 34, 87, 68], Operations: []
Exploring Operation: 93+34=127, Resulting Numbers: [87, 68, 127]
Generated Node #2: [87, 68, 127] from Operation: 93+34=127
Current State: 28:[87, 68, 127], Operations: ['93+34=127']
Exploring Operation: 87+68=155, Resulting Numbers: [127, 155]
Generated Node #3: [127, 155] from Operation: 87+68=155
Current State: 28:[127, 155], Operations: ['93+34=127', '87+68=155']
Exploring Operation: 155-127=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[93, 34, 87, 68], Operations: []
Exploring Operation: 93-87=6, Resulting Numbers: [34, 68, 6]
Generated Node #0,0: 28:[34, 68, 6] Operation: 93-87=6
Exploring Operation: 93-68=25, Resulting Numbers: [34, 87, 25]
Generated Node #0,1: 28:[34, 87, 25] Operation: 93-68=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[34, 68, 6], Operations: ['93-87=6']
Exploring Operation: 68-34=34, Resulting Numbers: [6, 34]
Generated Node #0,0,0: 28:[6, 34] Operation: 68-34=34
Exploring Operation: 68/34=2, Resulting Numbers: [6, 2]
Generated Node #0,0,1: 28:[6, 2] Operation: 68/34=2
Moving to Node #0,0,1
Current State: 28:[6, 2], Operations: ['93-87=6', '68/34=2']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,28 unequal: No Solution
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Moving to Node #0,0,0
Current State: 28:[6, 34], Operations: ['93-87=6', '68-34=34']
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[93, 34, 87, 68], Operations: []
Exploring Operation: 93-87=6, Resulting Numbers: [34, 68, 6]
Generated Node #0,0: 28:[34, 68, 6] Operation: 93-87=6
Moving to Node #0,0
Current State: 28:[34, 68, 6], Operations: ['93-87=6']
Exploring Operation: 68-34=34, Resulting Numbers: [6, 34]
Generated Node #0,0,0: 28:[6, 34] Operation: 68-34=34
Moving to Node #0,0,0
Current State: 28:[6, 34], Operations: ['93-87=6', '68-34=34']
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
48,
52,
51,
77
] | 43 | [
"51-48=3",
"52+77=129",
"129/3=43"
] | Current State: 43:[48, 52, 51, 77], Operations: []
Exploring Operation: 51-48=3, Resulting Numbers: [52, 77, 3]
Generated Node #2: [52, 77, 3] from Operation: 51-48=3
Current State: 43:[52, 77, 3], Operations: ['51-48=3']
Exploring Operation: 52+77=129, Resulting Numbers: [3, 129]
Generated Node #3: [3, 129] from Operation: 52+77=129
Current State: 43:[3, 129], Operations: ['51-48=3', '52+77=129']
Exploring Operation: 129/3=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[48, 52, 51, 77], Operations: []
Exploring Operation: 77-48=29, Resulting Numbers: [52, 51, 29]
Generated Node #0,0: 43:[52, 51, 29] Operation: 77-48=29
Moving to Node #0,0
Current State: 43:[52, 51, 29], Operations: ['77-48=29']
Exploring Operation: 52-29=23, Resulting Numbers: [51, 23]
Generated Node #0,0,0: 43:[51, 23] Operation: 52-29=23
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 43:[51, 23], Operations: ['77-48=29', '52-29=23']
Exploring Operation: 51-23=28, Resulting Numbers: [28]
28,43 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 |
[
81,
66,
94,
79
] | 38 | [
"81-79=2",
"66*2=132",
"132-94=38"
] | Current State: 38:[81, 66, 94, 79], Operations: []
Exploring Operation: 81-79=2, Resulting Numbers: [66, 94, 2]
Generated Node #2: [66, 94, 2] from Operation: 81-79=2
Current State: 38:[66, 94, 2], Operations: ['81-79=2']
Exploring Operation: 66*2=132, Resulting Numbers: [94, 132]
Generated Node #3: [94, 132] from Operation: 66*2=132
Current State: 38:[94, 132], Operations: ['81-79=2', '66*2=132']
Exploring Operation: 132-94=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[81, 66, 94, 79], Operations: []
Exploring Operation: 94-81=13, Resulting Numbers: [66, 79, 13]
Generated Node #0,0: 38:[66, 79, 13] Operation: 94-81=13
Moving to Node #0,0
Current State: 38:[66, 79, 13], Operations: ['94-81=13']
Exploring Operation: 79-66=13, Resulting Numbers: [13, 13]
Generated Node #0,0,0: 38:[13, 13] Operation: 79-66=13
Moving to Node #0,0,0
Current State: 38:[13, 13], Operations: ['94-81=13', '79-66=13']
Exploring Operation: 13/13=1, Resulting Numbers: [1]
1,38 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
22,
62,
33,
13
] | 20 | [
"62-22=40",
"33-13=20",
"40-20=20"
] | Current State: 20:[22, 62, 33, 13], Operations: []
Exploring Operation: 62-22=40, Resulting Numbers: [33, 13, 40]
Generated Node #2: [33, 13, 40] from Operation: 62-22=40
Current State: 20:[33, 13, 40], Operations: ['62-22=40']
Exploring Operation: 33-13=20, Resulting Numbers: [40, 20]
Generated Node #3: [40, 20] from Operation: 33-13=20
Current State: 20:[40, 20], Operations: ['62-22=40', '33-13=20']
Exploring Operation: 40-20=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[22, 62, 33, 13], Operations: []
Exploring Operation: 62-33=29, Resulting Numbers: [22, 13, 29]
Generated Node #0,0: 20:[22, 13, 29] Operation: 62-33=29
Moving to Node #0,0
Current State: 20:[22, 13, 29], Operations: ['62-33=29']
Exploring Operation: 29-22=7, Resulting Numbers: [13, 7]
Generated Node #0,0,0: 20:[13, 7] Operation: 29-22=7
Moving to Node #0,0,0
Current State: 20:[13, 7], Operations: ['62-33=29', '29-22=7']
Exploring Operation: 13+7=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[22, 62, 33, 13], Operations: []
Exploring Operation: 62-33=29, Resulting Numbers: [22, 13, 29]
Generated Node #0,0: 20:[22, 13, 29] Operation: 62-33=29
Moving to Node #0,0
Current State: 20:[22, 13, 29], Operations: ['62-33=29']
Exploring Operation: 29-22=7, Resulting Numbers: [13, 7]
Generated Node #0,0,0: 20:[13, 7] Operation: 29-22=7
Moving to Node #0,0,0
Current State: 20:[13, 7], Operations: ['62-33=29', '29-22=7']
Exploring Operation: 13+7=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
91,
46,
94,
28
] | 86 | [
"46+94=140",
"140/28=5",
"91-5=86"
] | Current State: 86:[91, 46, 94, 28], Operations: []
Exploring Operation: 46+94=140, Resulting Numbers: [91, 28, 140]
Generated Node #2: [91, 28, 140] from Operation: 46+94=140
Current State: 86:[91, 28, 140], Operations: ['46+94=140']
Exploring Operation: 140/28=5, Resulting Numbers: [91, 5]
Generated Node #3: [91, 5] from Operation: 140/28=5
Current State: 86:[91, 5], Operations: ['46+94=140', '140/28=5']
Exploring Operation: 91-5=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[91, 46, 94, 28], Operations: []
Exploring Operation: 91-46=45, Resulting Numbers: [94, 28, 45]
Generated Node #0,0: 86:[94, 28, 45] Operation: 91-46=45
Exploring Operation: 94-91=3, Resulting Numbers: [46, 28, 3]
Generated Node #0,1: 86:[46, 28, 3] Operation: 94-91=3
Moving to Node #0,1
Current State: 86:[46, 28, 3], Operations: ['94-91=3']
Exploring Operation: 28*3=84, Resulting Numbers: [46, 84]
Generated Node #0,1,0: 86:[46, 84] Operation: 28*3=84
Exploring Operation: 46+28=74, Resulting Numbers: [3, 74]
Generated Node #0,1,1: 86:[3, 74] Operation: 46+28=74
Moving to Node #0,0
Current State: 86:[94, 28, 45], Operations: ['91-46=45']
Exploring Operation: 28+45=73, Resulting Numbers: [94, 73]
Generated Node #0,0,0: 86:[94, 73] Operation: 28+45=73
Exploring Operation: 94-45=49, Resulting Numbers: [28, 49]
Generated Node #0,0,1: 86:[28, 49] Operation: 94-45=49
Moving to Node #0,1,0
Current State: 86:[46, 84], Operations: ['94-91=3', '28*3=84']
Exploring Operation: 84-46=38, Resulting Numbers: [38]
38,86 unequal: No Solution
Exploring Operation: 46+84=130, Resulting Numbers: [130]
130,86 unequal: No Solution
Moving to Node #0,1,1
Current State: 86:[3, 74], Operations: ['94-91=3', '46+28=74']
Exploring Operation: 3+74=77, Resulting Numbers: [77]
77,86 unequal: No Solution
Exploring Operation: 74-3=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Moving to Node #0,0,1
Current State: 86:[28, 49], Operations: ['91-46=45', '94-45=49']
Exploring Operation: 49-28=21, Resulting Numbers: [21]
21,86 unequal: No Solution
Exploring Operation: 28+49=77, Resulting Numbers: [77]
77,86 unequal: No Solution
Moving to Node #0,0,0
Current State: 86:[94, 73], Operations: ['91-46=45', '28+45=73']
Exploring Operation: 94-73=21, Resulting Numbers: [21]
21,86 unequal: No Solution
Exploring Operation: 94+73=167, Resulting Numbers: [167]
167,86 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
8,
40,
5,
45
] | 64 | [
"8*45=360",
"360-40=320",
"320/5=64"
] | Current State: 64:[8, 40, 5, 45], Operations: []
Exploring Operation: 8*45=360, Resulting Numbers: [40, 5, 360]
Generated Node #2: [40, 5, 360] from Operation: 8*45=360
Current State: 64:[40, 5, 360], Operations: ['8*45=360']
Exploring Operation: 360-40=320, Resulting Numbers: [5, 320]
Generated Node #3: [5, 320] from Operation: 360-40=320
Current State: 64:[5, 320], Operations: ['8*45=360', '360-40=320']
Exploring Operation: 320/5=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[8, 40, 5, 45], Operations: []
Exploring Operation: 45-8=37, Resulting Numbers: [40, 5, 37]
Generated Node #0,0: 64:[40, 5, 37] Operation: 45-8=37
Exploring Operation: 40/5=8, Resulting Numbers: [8, 45, 8]
Generated Node #0,1: 64:[8, 45, 8] Operation: 40/5=8
Exploring Operation: 45-40=5, Resulting Numbers: [8, 5, 5]
Generated Node #0,2: 64:[8, 5, 5] Operation: 45-40=5
Exploring Operation: 40-8=32, Resulting Numbers: [5, 45, 32]
Generated Node #0,3: 64:[5, 45, 32] Operation: 40-8=32
Exploring Operation: 45/5=9, Resulting Numbers: [8, 40, 9]
Generated Node #0,4: 64:[8, 40, 9] Operation: 45/5=9
Start Sub Search at level 1: Moving to Node #0,2
Current State: 64:[8, 5, 5], Operations: ['45-40=5']
Exploring Operation: 5-5=0, Resulting Numbers: [8, 0]
Generated Node #0,2,0: 64:[8, 0] Operation: 5-5=0
Exploring Operation: 8-5=3, Resulting Numbers: [5, 3]
Generated Node #0,2,1: 64:[5, 3] Operation: 8-5=3
Exploring Operation: 5+5=10, Resulting Numbers: [8, 10]
Generated Node #0,2,2: 64:[8, 10] Operation: 5+5=10
Exploring Operation: 8-5=3, Resulting Numbers: [5, 3]
Generated Node #0,2,3: 64:[5, 3] Operation: 8-5=3
Exploring Operation: 5/5=1, Resulting Numbers: [8, 1]
Generated Node #0,2,4: 64:[8, 1] Operation: 5/5=1
Moving to Node #0,2,4
Current State: 64:[8, 1], Operations: ['45-40=5', '5/5=1']
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Exploring Operation: 8+1=9, Resulting Numbers: [9]
9,64 unequal: No Solution
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Exploring Operation: 8*1=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Moving to Node #0,2,1
Current State: 64:[5, 3], Operations: ['45-40=5', '8-5=3']
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,64 unequal: No Solution
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Moving to Node #0,2,3
Current State: 64:[5, 3], Operations: ['45-40=5', '8-5=3']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,64 unequal: No Solution
Moving to Node #0,2,0
Current State: 64:[8, 0], Operations: ['45-40=5', '5-5=0']
Exploring Operation: 8-0=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Exploring Operation: 8+0=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Exploring Operation: 8*0=0, Resulting Numbers: [0]
0,64 unequal: No Solution
Moving to Node #0,2,2
Current State: 64:[8, 10], Operations: ['45-40=5', '5+5=10']
Exploring Operation: 8*10=80, Resulting Numbers: [80]
80,64 unequal: No Solution
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Exploring Operation: 8+10=18, Resulting Numbers: [18]
18,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 64:[8, 40, 9], Operations: ['45/5=9']
Exploring Operation: 8+9=17, Resulting Numbers: [40, 17]
Generated Node #0,4,0: 64:[40, 17] Operation: 8+9=17
Exploring Operation: 9-8=1, Resulting Numbers: [40, 1]
Generated Node #0,4,1: 64:[40, 1] Operation: 9-8=1
Exploring Operation: 40/8=5, Resulting Numbers: [9, 5]
Generated Node #0,4,2: 64:[9, 5] Operation: 40/8=5
Exploring Operation: 40-8=32, Resulting Numbers: [9, 32]
Generated Node #0,4,3: 64:[9, 32] Operation: 40-8=32
Exploring Operation: 40-9=31, Resulting Numbers: [8, 31]
Generated Node #0,4,4: 64:[8, 31] Operation: 40-9=31
Moving to Node #0,4,3
Current State: 64:[9, 32], Operations: ['45/5=9', '40-8=32']
Exploring Operation: 9*32=288, Resulting Numbers: [288]
288,64 unequal: No Solution
Exploring Operation: 32-9=23, Resulting Numbers: [23]
23,64 unequal: No Solution
Exploring Operation: 9+32=41, Resulting Numbers: [41]
41,64 unequal: No Solution
Moving to Node #0,4,4
Current State: 64:[8, 31], Operations: ['45/5=9', '40-9=31']
Exploring Operation: 8+31=39, Resulting Numbers: [39]
39,64 unequal: No Solution
Exploring Operation: 8*31=248, Resulting Numbers: [248]
248,64 unequal: No Solution
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,64 unequal: No Solution
Moving to Node #0,4,2
Current State: 64:[9, 5], Operations: ['45/5=9', '40/8=5']
Exploring Operation: 9+5=14, Resulting Numbers: [14]
14,64 unequal: No Solution
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,64 unequal: No Solution
Moving to Node #0,4,0
Current State: 64:[40, 17], Operations: ['45/5=9', '8+9=17']
Exploring Operation: 40-17=23, Resulting Numbers: [23]
23,64 unequal: No Solution
Exploring Operation: 40+17=57, Resulting Numbers: [57]
57,64 unequal: No Solution
Exploring Operation: 40*17=680, Resulting Numbers: [680]
680,64 unequal: No Solution
Moving to Node #0,4,1
Current State: 64:[40, 1], Operations: ['45/5=9', '9-8=1']
Exploring Operation: 40*1=40, Resulting Numbers: [40]
40,64 unequal: No Solution
Exploring Operation: 40-1=39, Resulting Numbers: [39]
39,64 unequal: No Solution
Exploring Operation: 40+1=41, Resulting Numbers: [41]
41,64 unequal: No Solution
Exploring Operation: 40/1=40, Resulting Numbers: [40]
40,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[8, 45, 8], Operations: ['40/5=8']
Exploring Operation: 45-8=37, Resulting Numbers: [8, 37]
Generated Node #0,1,0: 64:[8, 37] Operation: 45-8=37
Exploring Operation: 45-8=37, Resulting Numbers: [8, 37]
Generated Node #0,1,1: 64:[8, 37] Operation: 45-8=37
Exploring Operation: 8+45=53, Resulting Numbers: [8, 53]
Generated Node #0,1,2: 64:[8, 53] Operation: 8+45=53
Exploring Operation: 45+8=53, Resulting Numbers: [8, 53]
Generated Node #0,1,3: 64:[8, 53] Operation: 45+8=53
Exploring Operation: 8+8=16, Resulting Numbers: [45, 16]
Generated Node #0,1,4: 64:[45, 16] Operation: 8+8=16
Moving to Node #0,1,0
Current State: 64:[8, 37], Operations: ['40/5=8', '45-8=37']
Exploring Operation: 8+37=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Exploring Operation: 37-8=29, Resulting Numbers: [29]
29,64 unequal: No Solution
Exploring Operation: 8*37=296, Resulting Numbers: [296]
296,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[8, 37], Operations: ['40/5=8', '45-8=37']
Exploring Operation: 37-8=29, Resulting Numbers: [29]
29,64 unequal: No Solution
Exploring Operation: 8+37=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Exploring Operation: 8*37=296, Resulting Numbers: [296]
296,64 unequal: No Solution
Moving to Node #0,1,2
Current State: 64:[8, 53], Operations: ['40/5=8', '8+45=53']
Exploring Operation: 8+53=61, Resulting Numbers: [61]
61,64 unequal: No Solution
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Exploring Operation: 8*53=424, Resulting Numbers: [424]
424,64 unequal: No Solution
Moving to Node #0,1,3
Current State: 64:[8, 53], Operations: ['40/5=8', '45+8=53']
Exploring Operation: 8*53=424, Resulting Numbers: [424]
424,64 unequal: No Solution
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Exploring Operation: 8+53=61, Resulting Numbers: [61]
61,64 unequal: No Solution
Moving to Node #0,1,4
Current State: 64:[45, 16], Operations: ['40/5=8', '8+8=16']
Exploring Operation: 45+16=61, Resulting Numbers: [61]
61,64 unequal: No Solution
Exploring Operation: 45*16=720, Resulting Numbers: [720]
720,64 unequal: No Solution
Exploring Operation: 45-16=29, Resulting Numbers: [29]
29,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[40, 5, 37], Operations: ['45-8=37']
Exploring Operation: 40+37=77, Resulting Numbers: [5, 77]
Generated Node #0,0,0: 64:[5, 77] Operation: 40+37=77
Exploring Operation: 40-37=3, Resulting Numbers: [5, 3]
Generated Node #0,0,1: 64:[5, 3] Operation: 40-37=3
Exploring Operation: 40/5=8, Resulting Numbers: [37, 8]
Generated Node #0,0,2: 64:[37, 8] Operation: 40/5=8
Exploring Operation: 40-5=35, Resulting Numbers: [37, 35]
Generated Node #0,0,3: 64:[37, 35] Operation: 40-5=35
Exploring Operation: 37-5=32, Resulting Numbers: [40, 32]
Generated Node #0,0,4: 64:[40, 32] Operation: 37-5=32
Moving to Node #0,0,1
Current State: 64:[5, 3], Operations: ['45-8=37', '40-37=3']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,64 unequal: No Solution
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Moving to Node #0,0,2
Current State: 64:[37, 8], Operations: ['45-8=37', '40/5=8']
Exploring Operation: 37*8=296, Resulting Numbers: [296]
296,64 unequal: No Solution
Exploring Operation: 37+8=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Exploring Operation: 37-8=29, Resulting Numbers: [29]
29,64 unequal: No Solution
Moving to Node #0,0,3
Current State: 64:[37, 35], Operations: ['45-8=37', '40-5=35']
Exploring Operation: 37*35=1295, Resulting Numbers: [1295]
1295,64 unequal: No Solution
Exploring Operation: 37-35=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Exploring Operation: 37+35=72, Resulting Numbers: [72]
72,64 unequal: No Solution
Moving to Node #0,0,4
Current State: 64:[40, 32], Operations: ['45-8=37', '37-5=32']
Exploring Operation: 40*32=1280, Resulting Numbers: [1280]
1280,64 unequal: No Solution
Exploring Operation: 40-32=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Exploring Operation: 40+32=72, Resulting Numbers: [72]
72,64 unequal: No Solution
Moving to Node #0,0,0
Current State: 64:[5, 77], Operations: ['45-8=37', '40+37=77']
Exploring Operation: 5*77=385, Resulting Numbers: [385]
385,64 unequal: No Solution
Exploring Operation: 77-5=72, Resulting Numbers: [72]
72,64 unequal: No Solution
Exploring Operation: 5+77=82, Resulting Numbers: [82]
82,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 64:[5, 45, 32], Operations: ['40-8=32']
Exploring Operation: 45+32=77, Resulting Numbers: [5, 77]
Generated Node #0,3,0: 64:[5, 77] Operation: 45+32=77
Exploring Operation: 5+45=50, Resulting Numbers: [32, 50]
Generated Node #0,3,1: 64:[32, 50] Operation: 5+45=50
Exploring Operation: 45-32=13, Resulting Numbers: [5, 13]
Generated Node #0,3,2: 64:[5, 13] Operation: 45-32=13
Exploring Operation: 45-5=40, Resulting Numbers: [32, 40]
Generated Node #0,3,3: 64:[32, 40] Operation: 45-5=40
Exploring Operation: 45/5=9, Resulting Numbers: [32, 9]
Generated Node #0,3,4: 64:[32, 9] Operation: 45/5=9
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 64:[32, 9], Operations: ['40-8=32', '45/5=9']
Exploring Operation: 32*9=288, Resulting Numbers: [288]
288,64 unequal: No Solution
Exploring Operation: 32+9=41, Resulting Numbers: [41]
41,64 unequal: No Solution
Exploring Operation: 32-9=23, Resulting Numbers: [23]
23,64 unequal: No Solution
No 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: 64:[5, 13], Operations: ['40-8=32', '45-32=13']
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,64 unequal: No Solution
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,64 unequal: No Solution
No 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: 64:[32, 40], Operations: ['40-8=32', '45-5=40']
Exploring Operation: 32*40=1280, Resulting Numbers: [1280]
1280,64 unequal: No Solution
Exploring Operation: 32+40=72, Resulting Numbers: [72]
72,64 unequal: No Solution
Exploring Operation: 40-32=8, Resulting Numbers: [8]
8,64 unequal: No Solution
No 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: 64:[5, 77], Operations: ['40-8=32', '45+32=77']
Exploring Operation: 5*77=385, Resulting Numbers: [385]
385,64 unequal: No Solution
Exploring Operation: 5+77=82, Resulting Numbers: [82]
82,64 unequal: No Solution
Exploring Operation: 77-5=72, Resulting Numbers: [72]
72,64 unequal: No Solution
No 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: 64:[32, 50], Operations: ['40-8=32', '5+45=50']
Exploring Operation: 32*50=1600, Resulting Numbers: [1600]
1600,64 unequal: No Solution
Exploring Operation: 50-32=18, Resulting Numbers: [18]
18,64 unequal: No Solution
Exploring Operation: 32+50=82, Resulting Numbers: [82]
82,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
93,
92,
10,
64
] | 54 | [
"93-92=1",
"64-10=54",
"1*54=54"
] | Current State: 54:[93, 92, 10, 64], Operations: []
Exploring Operation: 93-92=1, Resulting Numbers: [10, 64, 1]
Generated Node #2: [10, 64, 1] from Operation: 93-92=1
Current State: 54:[10, 64, 1], Operations: ['93-92=1']
Exploring Operation: 64-10=54, Resulting Numbers: [1, 54]
Generated Node #3: [1, 54] from Operation: 64-10=54
Current State: 54:[1, 54], Operations: ['93-92=1', '64-10=54']
Exploring Operation: 1*54=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[93, 92, 10, 64], Operations: []
Exploring Operation: 93-64=29, Resulting Numbers: [92, 10, 29]
Generated Node #0,0: 54:[92, 10, 29] Operation: 93-64=29
Exploring Operation: 93-92=1, Resulting Numbers: [10, 64, 1]
Generated Node #0,1: 54:[10, 64, 1] Operation: 93-92=1
Moving to Node #0,1
Current State: 54:[10, 64, 1], Operations: ['93-92=1']
Exploring Operation: 64-10=54, Resulting Numbers: [1, 54]
Generated Node #0,1,0: 54:[1, 54] Operation: 64-10=54
Exploring Operation: 10-1=9, Resulting Numbers: [64, 9]
Generated Node #0,1,1: 54:[64, 9] Operation: 10-1=9
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 54:[1, 54], Operations: ['93-92=1', '64-10=54']
Exploring Operation: 1*54=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[93, 92, 10, 64], Operations: []
Exploring Operation: 93-92=1, Resulting Numbers: [10, 64, 1]
Generated Node #0,1: 54:[10, 64, 1] Operation: 93-92=1
Moving to Node #0,1
Current State: 54:[10, 64, 1], Operations: ['93-92=1']
Exploring Operation: 64-10=54, Resulting Numbers: [1, 54]
Generated Node #0,1,0: 54:[1, 54] Operation: 64-10=54
Moving to Node #0,1,0
Current State: 54:[1, 54], Operations: ['93-92=1', '64-10=54']
Exploring Operation: 1*54=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
57,
85,
87,
8
] | 67 | [
"85-57=28",
"87+8=95",
"95-28=67"
] | Current State: 67:[57, 85, 87, 8], Operations: []
Exploring Operation: 85-57=28, Resulting Numbers: [87, 8, 28]
Generated Node #2: [87, 8, 28] from Operation: 85-57=28
Current State: 67:[87, 8, 28], Operations: ['85-57=28']
Exploring Operation: 87+8=95, Resulting Numbers: [28, 95]
Generated Node #3: [28, 95] from Operation: 87+8=95
Current State: 67:[28, 95], Operations: ['85-57=28', '87+8=95']
Exploring Operation: 95-28=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[57, 85, 87, 8], Operations: []
Exploring Operation: 85-8=77, Resulting Numbers: [57, 87, 77]
Generated Node #0,0: 67:[57, 87, 77] Operation: 85-8=77
Exploring Operation: 87-8=79, Resulting Numbers: [57, 85, 79]
Generated Node #0,1: 67:[57, 85, 79] Operation: 87-8=79
Exploring Operation: 57+8=65, Resulting Numbers: [85, 87, 65]
Generated Node #0,2: 67:[85, 87, 65] Operation: 57+8=65
Moving to Node #0,0
Current State: 67:[57, 87, 77], Operations: ['85-8=77']
Exploring Operation: 77-57=20, Resulting Numbers: [87, 20]
Generated Node #0,0,0: 67:[87, 20] Operation: 77-57=20
Exploring Operation: 87-57=30, Resulting Numbers: [77, 30]
Generated Node #0,0,1: 67:[77, 30] Operation: 87-57=30
Exploring Operation: 87-77=10, Resulting Numbers: [57, 10]
Generated Node #0,0,2: 67:[57, 10] Operation: 87-77=10
Moving to Node #0,1
Current State: 67:[57, 85, 79], Operations: ['87-8=79']
Exploring Operation: 79-57=22, Resulting Numbers: [85, 22]
Generated Node #0,1,0: 67:[85, 22] Operation: 79-57=22
Exploring Operation: 85-79=6, Resulting Numbers: [57, 6]
Generated Node #0,1,1: 67:[57, 6] Operation: 85-79=6
Exploring Operation: 85-57=28, Resulting Numbers: [79, 28]
Generated Node #0,1,2: 67:[79, 28] Operation: 85-57=28
Moving to Node #0,2
Current State: 67:[85, 87, 65], Operations: ['57+8=65']
Exploring Operation: 87-85=2, Resulting Numbers: [65, 2]
Generated Node #0,2,0: 67:[65, 2] Operation: 87-85=2
Exploring Operation: 85-65=20, Resulting Numbers: [87, 20]
Generated Node #0,2,1: 67:[87, 20] Operation: 85-65=20
Exploring Operation: 87-65=22, Resulting Numbers: [85, 22]
Generated Node #0,2,2: 67:[85, 22] Operation: 87-65=22
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 67:[85, 22], Operations: ['57+8=65', '87-65=22']
Exploring Operation: 85*22=1870, Resulting Numbers: [1870]
1870,67 unequal: No Solution
Exploring Operation: 85-22=63, Resulting Numbers: [63]
63,67 unequal: No Solution
Exploring Operation: 85+22=107, Resulting Numbers: [107]
107,67 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 #0,2,0
Current State: 67:[65, 2], Operations: ['57+8=65', '87-85=2']
Exploring Operation: 65*2=130, Resulting Numbers: [130]
130,67 unequal: No Solution
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[57, 85, 87, 8], Operations: []
Exploring Operation: 57+8=65, Resulting Numbers: [85, 87, 65]
Generated Node #0,2: 67:[85, 87, 65] Operation: 57+8=65
Moving to Node #0,2
Current State: 67:[85, 87, 65], Operations: ['57+8=65']
Exploring Operation: 87-85=2, Resulting Numbers: [65, 2]
Generated Node #0,2,0: 67:[65, 2] Operation: 87-85=2
Moving to Node #0,2,0
Current State: 67:[65, 2], Operations: ['57+8=65', '87-85=2']
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_3 | sum_heuristic |
[
23,
7,
33,
28
] | 45 | [
"23-7=16",
"33+28=61",
"61-16=45"
] | Current State: 45:[23, 7, 33, 28], Operations: []
Exploring Operation: 23-7=16, Resulting Numbers: [33, 28, 16]
Generated Node #2: [33, 28, 16] from Operation: 23-7=16
Current State: 45:[33, 28, 16], Operations: ['23-7=16']
Exploring Operation: 33+28=61, Resulting Numbers: [16, 61]
Generated Node #3: [16, 61] from Operation: 33+28=61
Current State: 45:[16, 61], Operations: ['23-7=16', '33+28=61']
Exploring Operation: 61-16=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[23, 7, 33, 28], Operations: []
Exploring Operation: 33-23=10, Resulting Numbers: [7, 28, 10]
Generated Node #0,0: 45:[7, 28, 10] Operation: 33-23=10
Exploring Operation: 33-28=5, Resulting Numbers: [23, 7, 5]
Generated Node #0,1: 45:[23, 7, 5] Operation: 33-28=5
Exploring Operation: 28/7=4, Resulting Numbers: [23, 33, 4]
Generated Node #0,2: 45:[23, 33, 4] Operation: 28/7=4
Exploring Operation: 28-23=5, Resulting Numbers: [7, 33, 5]
Generated Node #0,3: 45:[7, 33, 5] Operation: 28-23=5
Exploring Operation: 23+28=51, Resulting Numbers: [7, 33, 51]
Generated Node #0,4: 45:[7, 33, 51] Operation: 23+28=51
Start Sub Search at level 1: Moving to Node #0,1
Current State: 45:[23, 7, 5], Operations: ['33-28=5']
Exploring Operation: 23-7=16, Resulting Numbers: [5, 16]
Generated Node #0,1,0: 45:[5, 16] Operation: 23-7=16
Exploring Operation: 7+5=12, Resulting Numbers: [23, 12]
Generated Node #0,1,1: 45:[23, 12] Operation: 7+5=12
Exploring Operation: 23-5=18, Resulting Numbers: [7, 18]
Generated Node #0,1,2: 45:[7, 18] Operation: 23-5=18
Exploring Operation: 23+7=30, Resulting Numbers: [5, 30]
Generated Node #0,1,3: 45:[5, 30] Operation: 23+7=30
Exploring Operation: 7-5=2, Resulting Numbers: [23, 2]
Generated Node #0,1,4: 45:[23, 2] Operation: 7-5=2
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 45:[5, 16], Operations: ['33-28=5', '23-7=16']
Exploring Operation: 5+16=21, Resulting Numbers: [21]
21,45 unequal: No Solution
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 5*16=80, Resulting Numbers: [80]
80,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 45:[7, 18], Operations: ['33-28=5', '23-5=18']
Exploring Operation: 7+18=25, Resulting Numbers: [25]
25,45 unequal: No Solution
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 7*18=126, Resulting Numbers: [126]
126,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 45:[23, 2], Operations: ['33-28=5', '7-5=2']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,45 unequal: No Solution
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,45 unequal: No Solution
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 45:[23, 12], Operations: ['33-28=5', '7+5=12']
Exploring Operation: 23+12=35, Resulting Numbers: [35]
35,45 unequal: No Solution
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 23*12=276, Resulting Numbers: [276]
276,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 45:[5, 30], Operations: ['33-28=5', '23+7=30']
Exploring Operation: 5+30=35, Resulting Numbers: [35]
35,45 unequal: No Solution
Exploring Operation: 5*30=150, Resulting Numbers: [150]
150,45 unequal: No Solution
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,45 unequal: No Solution
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 45:[7, 33, 5], Operations: ['28-23=5']
Exploring Operation: 33-7=26, Resulting Numbers: [5, 26]
Generated Node #0,3,0: 45:[5, 26] Operation: 33-7=26
Exploring Operation: 7+5=12, Resulting Numbers: [33, 12]
Generated Node #0,3,1: 45:[33, 12] Operation: 7+5=12
Exploring Operation: 7-5=2, Resulting Numbers: [33, 2]
Generated Node #0,3,2: 45:[33, 2] Operation: 7-5=2
Exploring Operation: 7+33=40, Resulting Numbers: [5, 40]
Generated Node #0,3,3: 45:[5, 40] Operation: 7+33=40
Exploring Operation: 33+5=38, Resulting Numbers: [7, 38]
Generated Node #0,3,4: 45:[7, 38] Operation: 33+5=38
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 45:[5, 40], Operations: ['28-23=5', '7+33=40']
Exploring Operation: 40/5=8, Resulting Numbers: [8]
8,45 unequal: No Solution
Exploring Operation: 5*40=200, Resulting Numbers: [200]
200,45 unequal: No Solution
Exploring Operation: 5+40=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[23, 7, 33, 28], Operations: []
Exploring Operation: 28-23=5, Resulting Numbers: [7, 33, 5]
Generated Node #0,3: 45:[7, 33, 5] Operation: 28-23=5
Moving to Node #0,3
Current State: 45:[7, 33, 5], Operations: ['28-23=5']
Exploring Operation: 7+33=40, Resulting Numbers: [5, 40]
Generated Node #0,3,3: 45:[5, 40] Operation: 7+33=40
Moving to Node #0,3,3
Current State: 45:[5, 40], Operations: ['28-23=5', '7+33=40']
Exploring Operation: 5+40=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967014 | hs_5 | sum_heuristic |
[
76,
50,
25,
48
] | 10 | [
"76*25=1900",
"1900/50=38",
"48-38=10"
] | Current State: 10:[76, 50, 25, 48], Operations: []
Exploring Operation: 76*25=1900, Resulting Numbers: [50, 48, 1900]
Generated Node #2: [50, 48, 1900] from Operation: 76*25=1900
Current State: 10:[50, 48, 1900], Operations: ['76*25=1900']
Exploring Operation: 1900/50=38, Resulting Numbers: [48, 38]
Generated Node #3: [48, 38] from Operation: 1900/50=38
Current State: 10:[48, 38], Operations: ['76*25=1900', '1900/50=38']
Exploring Operation: 48-38=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[76, 50, 25, 48], Operations: []
Exploring Operation: 50-48=2, Resulting Numbers: [76, 25, 2]
Generated Node #0,0: 10:[76, 25, 2] Operation: 50-48=2
Exploring Operation: 76-48=28, Resulting Numbers: [50, 25, 28]
Generated Node #0,1: 10:[50, 25, 28] Operation: 76-48=28
Exploring Operation: 76-50=26, Resulting Numbers: [25, 48, 26]
Generated Node #0,2: 10:[25, 48, 26] Operation: 76-50=26
Exploring Operation: 76-25=51, Resulting Numbers: [50, 48, 51]
Generated Node #0,3: 10:[50, 48, 51] Operation: 76-25=51
Exploring Operation: 50/25=2, Resulting Numbers: [76, 48, 2]
Generated Node #0,4: 10:[76, 48, 2] Operation: 50/25=2
Moving to Node #0,2
Current State: 10:[25, 48, 26], Operations: ['76-50=26']
Exploring Operation: 25+48=73, Resulting Numbers: [26, 73]
Generated Node #0,2,0: 10:[26, 73] Operation: 25+48=73
Exploring Operation: 26-25=1, Resulting Numbers: [48, 1]
Generated Node #0,2,1: 10:[48, 1] Operation: 26-25=1
Exploring Operation: 48-26=22, Resulting Numbers: [25, 22]
Generated Node #0,2,2: 10:[25, 22] Operation: 48-26=22
Exploring Operation: 48-25=23, Resulting Numbers: [26, 23]
Generated Node #0,2,3: 10:[26, 23] Operation: 48-25=23
Exploring Operation: 25+26=51, Resulting Numbers: [48, 51]
Generated Node #0,2,4: 10:[48, 51] Operation: 25+26=51
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 10:[25, 22], Operations: ['76-50=26', '48-26=22']
Exploring Operation: 25*22=550, Resulting Numbers: [550]
550,10 unequal: No Solution
Exploring Operation: 25-22=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Exploring Operation: 25+22=47, Resulting Numbers: [47]
47,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 10:[26, 23], Operations: ['76-50=26', '48-25=23']
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Exploring Operation: 26+23=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Exploring Operation: 26*23=598, Resulting Numbers: [598]
598,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 10:[48, 1], Operations: ['76-50=26', '26-25=1']
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,10 unequal: No Solution
Exploring Operation: 48/1=48, Resulting Numbers: [48]
48,10 unequal: No Solution
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,10 unequal: No Solution
Exploring Operation: 48+1=49, Resulting Numbers: [49]
49,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 10:[26, 73], Operations: ['76-50=26', '25+48=73']
Exploring Operation: 26*73=1898, Resulting Numbers: [1898]
1898,10 unequal: No Solution
Exploring Operation: 73-26=47, Resulting Numbers: [47]
47,10 unequal: No Solution
Exploring Operation: 26+73=99, Resulting Numbers: [99]
99,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 10:[48, 51], Operations: ['76-50=26', '25+26=51']
Exploring Operation: 51-48=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Exploring Operation: 48*51=2448, Resulting Numbers: [2448]
2448,10 unequal: No Solution
Exploring Operation: 48+51=99, Resulting Numbers: [99]
99,10 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: 10:[50, 25, 28], Operations: ['76-48=28']
Exploring Operation: 28-25=3, Resulting Numbers: [50, 3]
Generated Node #0,1,0: 10:[50, 3] Operation: 28-25=3
Exploring Operation: 50-28=22, Resulting Numbers: [25, 22]
Generated Node #0,1,1: 10:[25, 22] Operation: 50-28=22
Exploring Operation: 50-25=25, Resulting Numbers: [28, 25]
Generated Node #0,1,2: 10:[28, 25] Operation: 50-25=25
Exploring Operation: 50/25=2, Resulting Numbers: [28, 2]
Generated Node #0,1,3: 10:[28, 2] Operation: 50/25=2
Exploring Operation: 50+25=75, Resulting Numbers: [28, 75]
Generated Node #0,1,4: 10:[28, 75] Operation: 50+25=75
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 10:[28, 2], Operations: ['76-48=28', '50/25=2']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,10 unequal: No Solution
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,10 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,10 unequal: No Solution
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 10:[25, 22], Operations: ['76-48=28', '50-28=22']
Exploring Operation: 25+22=47, Resulting Numbers: [47]
47,10 unequal: No Solution
Exploring Operation: 25*22=550, Resulting Numbers: [550]
550,10 unequal: No Solution
Exploring Operation: 25-22=3, Resulting Numbers: [3]
3,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 10:[28, 25], Operations: ['76-48=28', '50-25=25']
Exploring Operation: 28*25=700, Resulting Numbers: [700]
700,10 unequal: No Solution
Exploring Operation: 28-25=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Exploring Operation: 28+25=53, Resulting Numbers: [53]
53,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 10:[50, 3], Operations: ['76-48=28', '28-25=3']
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,10 unequal: No Solution
Exploring Operation: 50*3=150, Resulting Numbers: [150]
150,10 unequal: No Solution
Exploring Operation: 50+3=53, Resulting Numbers: [53]
53,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 10:[28, 75], Operations: ['76-48=28', '50+25=75']
Exploring Operation: 28*75=2100, Resulting Numbers: [2100]
2100,10 unequal: No Solution
Exploring Operation: 75-28=47, Resulting Numbers: [47]
47,10 unequal: No Solution
Exploring Operation: 28+75=103, Resulting Numbers: [103]
103,10 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: 10:[76, 25, 2], Operations: ['50-48=2']
Exploring Operation: 76+2=78, Resulting Numbers: [25, 78]
Generated Node #0,0,0: 10:[25, 78] Operation: 76+2=78
Exploring Operation: 76-2=74, Resulting Numbers: [25, 74]
Generated Node #0,0,1: 10:[25, 74] Operation: 76-2=74
Exploring Operation: 76-25=51, Resulting Numbers: [2, 51]
Generated Node #0,0,2: 10:[2, 51] Operation: 76-25=51
Exploring Operation: 25-2=23, Resulting Numbers: [76, 23]
Generated Node #0,0,3: 10:[76, 23] Operation: 25-2=23
Exploring Operation: 76/2=38, Resulting Numbers: [25, 38]
Generated Node #0,0,4: 10:[25, 38] Operation: 76/2=38
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 10:[2, 51], Operations: ['50-48=2', '76-25=51']
Exploring Operation: 2*51=102, Resulting Numbers: [102]
102,10 unequal: No Solution
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Exploring Operation: 2+51=53, Resulting Numbers: [53]
53,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 10:[25, 38], Operations: ['50-48=2', '76/2=38']
Exploring Operation: 38-25=13, Resulting Numbers: [13]
13,10 unequal: No Solution
Exploring Operation: 25*38=950, Resulting Numbers: [950]
950,10 unequal: No Solution
Exploring Operation: 25+38=63, Resulting Numbers: [63]
63,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 10:[25, 74], Operations: ['50-48=2', '76-2=74']
Exploring Operation: 74-25=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Exploring Operation: 25+74=99, Resulting Numbers: [99]
99,10 unequal: No Solution
Exploring Operation: 25*74=1850, Resulting Numbers: [1850]
1850,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 10:[76, 23], Operations: ['50-48=2', '25-2=23']
Exploring Operation: 76-23=53, Resulting Numbers: [53]
53,10 unequal: No Solution
Exploring Operation: 76+23=99, Resulting Numbers: [99]
99,10 unequal: No Solution
Exploring Operation: 76*23=1748, Resulting Numbers: [1748]
1748,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 10:[25, 78], Operations: ['50-48=2', '76+2=78']
Exploring Operation: 25+78=103, Resulting Numbers: [103]
103,10 unequal: No Solution
Exploring Operation: 25*78=1950, Resulting Numbers: [1950]
1950,10 unequal: No Solution
Exploring Operation: 78-25=53, Resulting Numbers: [53]
53,10 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: 10:[76, 48, 2], Operations: ['50/25=2']
Exploring Operation: 48/2=24, Resulting Numbers: [76, 24]
Generated Node #0,4,0: 10:[76, 24] Operation: 48/2=24
Exploring Operation: 76-2=74, Resulting Numbers: [48, 74]
Generated Node #0,4,1: 10:[48, 74] Operation: 76-2=74
Exploring Operation: 48-2=46, Resulting Numbers: [76, 46]
Generated Node #0,4,2: 10:[76, 46] Operation: 48-2=46
Exploring Operation: 76-48=28, Resulting Numbers: [2, 28]
Generated Node #0,4,3: 10:[2, 28] Operation: 76-48=28
Exploring Operation: 76/2=38, Resulting Numbers: [48, 38]
Generated Node #0,4,4: 10:[48, 38] Operation: 76/2=38
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 10:[2, 28], Operations: ['50/25=2', '76-48=28']
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,10 unequal: No Solution
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,10 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,10 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 10:[48, 38], Operations: ['50/25=2', '76/2=38']
Exploring Operation: 48+38=86, Resulting Numbers: [86]
86,10 unequal: No Solution
Exploring Operation: 48*38=1824, Resulting Numbers: [1824]
1824,10 unequal: No Solution
Exploring Operation: 48-38=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[76, 50, 25, 48], Operations: []
Exploring Operation: 50/25=2, Resulting Numbers: [76, 48, 2]
Generated Node #0,4: 10:[76, 48, 2] Operation: 50/25=2
Moving to Node #0,4
Current State: 10:[76, 48, 2], Operations: ['50/25=2']
Exploring Operation: 76/2=38, Resulting Numbers: [48, 38]
Generated Node #0,4,4: 10:[48, 38] Operation: 76/2=38
Moving to Node #0,4,4
Current State: 10:[48, 38], Operations: ['50/25=2', '76/2=38']
Exploring Operation: 48-38=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.927951 | hs_5 | mult_heuristic |
[
85,
66,
93,
20
] | 94 | [
"85-66=19",
"93+20=113",
"113-19=94"
] | Current State: 94:[85, 66, 93, 20], Operations: []
Exploring Operation: 85-66=19, Resulting Numbers: [93, 20, 19]
Generated Node #2: [93, 20, 19] from Operation: 85-66=19
Current State: 94:[93, 20, 19], Operations: ['85-66=19']
Exploring Operation: 93+20=113, Resulting Numbers: [19, 113]
Generated Node #3: [19, 113] from Operation: 93+20=113
Current State: 94:[19, 113], Operations: ['85-66=19', '93+20=113']
Exploring Operation: 113-19=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[85, 66, 93, 20], Operations: []
Exploring Operation: 66+20=86, Resulting Numbers: [85, 93, 86]
Generated Node #0,0: 94:[85, 93, 86] Operation: 66+20=86
Exploring Operation: 85-66=19, Resulting Numbers: [93, 20, 19]
Generated Node #0,1: 94:[93, 20, 19] Operation: 85-66=19
Exploring Operation: 85+20=105, Resulting Numbers: [66, 93, 105]
Generated Node #0,2: 94:[66, 93, 105] Operation: 85+20=105
Exploring Operation: 66-20=46, Resulting Numbers: [85, 93, 46]
Generated Node #0,3: 94:[85, 93, 46] Operation: 66-20=46
Moving to Node #0,3
Current State: 94:[85, 93, 46], Operations: ['66-20=46']
Exploring Operation: 85-46=39, Resulting Numbers: [93, 39]
Generated Node #0,3,0: 94:[93, 39] Operation: 85-46=39
Exploring Operation: 85+46=131, Resulting Numbers: [93, 131]
Generated Node #0,3,1: 94:[93, 131] Operation: 85+46=131
Exploring Operation: 93-46=47, Resulting Numbers: [85, 47]
Generated Node #0,3,2: 94:[85, 47] Operation: 93-46=47
Exploring Operation: 93-85=8, Resulting Numbers: [46, 8]
Generated Node #0,3,3: 94:[46, 8] Operation: 93-85=8
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 94:[46, 8], Operations: ['66-20=46', '93-85=8']
Exploring Operation: 46+8=54, Resulting Numbers: [54]
54,94 unequal: No Solution
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,94 unequal: No Solution
Exploring Operation: 46*8=368, Resulting Numbers: [368]
368,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 94:[93, 39], Operations: ['66-20=46', '85-46=39']
Exploring Operation: 93+39=132, Resulting Numbers: [132]
132,94 unequal: No Solution
Exploring Operation: 93*39=3627, Resulting Numbers: [3627]
3627,94 unequal: No Solution
Exploring Operation: 93-39=54, Resulting Numbers: [54]
54,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 94:[85, 47], Operations: ['66-20=46', '93-46=47']
Exploring Operation: 85-47=38, Resulting Numbers: [38]
38,94 unequal: No Solution
Exploring Operation: 85*47=3995, Resulting Numbers: [3995]
3995,94 unequal: No Solution
Exploring Operation: 85+47=132, Resulting Numbers: [132]
132,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 94:[93, 131], Operations: ['66-20=46', '85+46=131']
Exploring Operation: 93*131=12183, Resulting Numbers: [12183]
12183,94 unequal: No Solution
Exploring Operation: 131-93=38, Resulting Numbers: [38]
38,94 unequal: No Solution
Exploring Operation: 93+131=224, Resulting Numbers: [224]
224,94 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: 94:[85, 93, 86], Operations: ['66+20=86']
Exploring Operation: 86-85=1, Resulting Numbers: [93, 1]
Generated Node #0,0,0: 94:[93, 1] Operation: 86-85=1
Exploring Operation: 85+86=171, Resulting Numbers: [93, 171]
Generated Node #0,0,1: 94:[93, 171] Operation: 85+86=171
Exploring Operation: 93-86=7, Resulting Numbers: [85, 7]
Generated Node #0,0,2: 94:[85, 7] Operation: 93-86=7
Exploring Operation: 93-85=8, Resulting Numbers: [86, 8]
Generated Node #0,0,3: 94:[86, 8] Operation: 93-85=8
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 94:[93, 1], Operations: ['66+20=86', '86-85=1']
Exploring Operation: 93*1=93, Resulting Numbers: [93]
93,94 unequal: No Solution
Exploring Operation: 93/1=93, Resulting Numbers: [93]
93,94 unequal: No Solution
Exploring Operation: 93+1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[85, 66, 93, 20], Operations: []
Exploring Operation: 66+20=86, Resulting Numbers: [85, 93, 86]
Generated Node #0,0: 94:[85, 93, 86] Operation: 66+20=86
Moving to Node #0,0
Current State: 94:[85, 93, 86], Operations: ['66+20=86']
Exploring Operation: 86-85=1, Resulting Numbers: [93, 1]
Generated Node #0,0,0: 94:[93, 1] Operation: 86-85=1
Moving to Node #0,0,0
Current State: 94:[93, 1], Operations: ['66+20=86', '86-85=1']
Exploring Operation: 93+1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.97309 | hs_4 | sum_heuristic |
[
44,
68,
87,
72
] | 84 | [
"68-44=24",
"72/24=3",
"87-3=84"
] | Current State: 84:[44, 68, 87, 72], Operations: []
Exploring Operation: 68-44=24, Resulting Numbers: [87, 72, 24]
Generated Node #2: [87, 72, 24] from Operation: 68-44=24
Current State: 84:[87, 72, 24], Operations: ['68-44=24']
Exploring Operation: 72/24=3, Resulting Numbers: [87, 3]
Generated Node #3: [87, 3] from Operation: 72/24=3
Current State: 84:[87, 3], Operations: ['68-44=24', '72/24=3']
Exploring Operation: 87-3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[44, 68, 87, 72], Operations: []
Exploring Operation: 68-44=24, Resulting Numbers: [87, 72, 24]
Generated Node #0,0: 84:[87, 72, 24] Operation: 68-44=24
Exploring Operation: 87-68=19, Resulting Numbers: [44, 72, 19]
Generated Node #0,1: 84:[44, 72, 19] Operation: 87-68=19
Exploring Operation: 72-68=4, Resulting Numbers: [44, 87, 4]
Generated Node #0,2: 84:[44, 87, 4] Operation: 72-68=4
Start Sub Search at level 1: Moving to Node #0,2
Current State: 84:[44, 87, 4], Operations: ['72-68=4']
Exploring Operation: 87-4=83, Resulting Numbers: [44, 83]
Generated Node #0,2,0: 84:[44, 83] Operation: 87-4=83
Exploring Operation: 87-44=43, Resulting Numbers: [4, 43]
Generated Node #0,2,1: 84:[4, 43] Operation: 87-44=43
Exploring Operation: 44/4=11, Resulting Numbers: [87, 11]
Generated Node #0,2,2: 84:[87, 11] Operation: 44/4=11
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 84:[4, 43], Operations: ['72-68=4', '87-44=43']
Exploring Operation: 4+43=47, Resulting Numbers: [47]
47,84 unequal: No Solution
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,84 unequal: No Solution
Exploring Operation: 4*43=172, Resulting Numbers: [172]
172,84 unequal: No Solution
No 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: 84:[44, 83], Operations: ['72-68=4', '87-4=83']
Exploring Operation: 83-44=39, Resulting Numbers: [39]
39,84 unequal: No Solution
Exploring Operation: 44+83=127, Resulting Numbers: [127]
127,84 unequal: No Solution
Exploring Operation: 44*83=3652, Resulting Numbers: [3652]
3652,84 unequal: No Solution
No 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: 84:[87, 11], Operations: ['72-68=4', '44/4=11']
Exploring Operation: 87*11=957, Resulting Numbers: [957]
957,84 unequal: No Solution
Exploring Operation: 87+11=98, Resulting Numbers: [98]
98,84 unequal: No Solution
Exploring Operation: 87-11=76, Resulting Numbers: [76]
76,84 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: 84:[44, 72, 19], Operations: ['87-68=19']
Exploring Operation: 72-19=53, Resulting Numbers: [44, 53]
Generated Node #0,1,0: 84:[44, 53] Operation: 72-19=53
Exploring Operation: 72-44=28, Resulting Numbers: [19, 28]
Generated Node #0,1,1: 84:[19, 28] Operation: 72-44=28
Exploring Operation: 72+19=91, Resulting Numbers: [44, 91]
Generated Node #0,1,2: 84:[44, 91] Operation: 72+19=91
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 84:[19, 28], Operations: ['87-68=19', '72-44=28']
Exploring Operation: 19*28=532, Resulting Numbers: [532]
532,84 unequal: No Solution
Exploring Operation: 19+28=47, Resulting Numbers: [47]
47,84 unequal: No Solution
Exploring Operation: 28-19=9, Resulting Numbers: [9]
9,84 unequal: No Solution
No 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: 84:[44, 91], Operations: ['87-68=19', '72+19=91']
Exploring Operation: 44*91=4004, Resulting Numbers: [4004]
4004,84 unequal: No Solution
Exploring Operation: 91-44=47, Resulting Numbers: [47]
47,84 unequal: No Solution
Exploring Operation: 44+91=135, Resulting Numbers: [135]
135,84 unequal: No Solution
No 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: 84:[44, 53], Operations: ['87-68=19', '72-19=53']
Exploring Operation: 44+53=97, Resulting Numbers: [97]
97,84 unequal: No Solution
Exploring Operation: 44*53=2332, Resulting Numbers: [2332]
2332,84 unequal: No Solution
Exploring Operation: 53-44=9, Resulting Numbers: [9]
9,84 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: 84:[87, 72, 24], Operations: ['68-44=24']
Exploring Operation: 72/24=3, Resulting Numbers: [87, 3]
Generated Node #0,0,0: 84:[87, 3] Operation: 72/24=3
Exploring Operation: 72-24=48, Resulting Numbers: [87, 48]
Generated Node #0,0,1: 84:[87, 48] Operation: 72-24=48
Exploring Operation: 87-72=15, Resulting Numbers: [24, 15]
Generated Node #0,0,2: 84:[24, 15] Operation: 87-72=15
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 84:[87, 3], Operations: ['68-44=24', '72/24=3']
Exploring Operation: 87+3=90, Resulting Numbers: [90]
90,84 unequal: No Solution
Exploring Operation: 87-3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[44, 68, 87, 72], Operations: []
Exploring Operation: 68-44=24, Resulting Numbers: [87, 72, 24]
Generated Node #0,0: 84:[87, 72, 24] Operation: 68-44=24
Moving to Node #0,0
Current State: 84:[87, 72, 24], Operations: ['68-44=24']
Exploring Operation: 72/24=3, Resulting Numbers: [87, 3]
Generated Node #0,0,0: 84:[87, 3] Operation: 72/24=3
Moving to Node #0,0,0
Current State: 84:[87, 3], Operations: ['68-44=24', '72/24=3']
Exploring Operation: 87-3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.96875 | hs_3 | sum_heuristic |
[
14,
27,
20,
22
] | 39 | [
"14+27=41",
"22-20=2",
"41-2=39"
] | Current State: 39:[14, 27, 20, 22], Operations: []
Exploring Operation: 14+27=41, Resulting Numbers: [20, 22, 41]
Generated Node #2: [20, 22, 41] from Operation: 14+27=41
Current State: 39:[20, 22, 41], Operations: ['14+27=41']
Exploring Operation: 22-20=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 22-20=2
Current State: 39:[41, 2], Operations: ['14+27=41', '22-20=2']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[14, 27, 20, 22], Operations: []
Exploring Operation: 27-22=5, Resulting Numbers: [14, 20, 5]
Generated Node #0,0: 39:[14, 20, 5] Operation: 27-22=5
Moving to Node #0,0
Current State: 39:[14, 20, 5], Operations: ['27-22=5']
Exploring Operation: 20/5=4, Resulting Numbers: [14, 4]
Generated Node #0,0,0: 39:[14, 4] Operation: 20/5=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 39:[14, 4], Operations: ['27-22=5', '20/5=4']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,39 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 |
[
84,
24,
12,
94
] | 74 | [
"84*24=2016",
"2016/12=168",
"168-94=74"
] | Current State: 74:[84, 24, 12, 94], Operations: []
Exploring Operation: 84*24=2016, Resulting Numbers: [12, 94, 2016]
Generated Node #2: [12, 94, 2016] from Operation: 84*24=2016
Current State: 74:[12, 94, 2016], Operations: ['84*24=2016']
Exploring Operation: 2016/12=168, Resulting Numbers: [94, 168]
Generated Node #3: [94, 168] from Operation: 2016/12=168
Current State: 74:[94, 168], Operations: ['84*24=2016', '2016/12=168']
Exploring Operation: 168-94=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[84, 24, 12, 94], Operations: []
Exploring Operation: 94-24=70, Resulting Numbers: [84, 12, 70]
Generated Node #0,0: 74:[84, 12, 70] Operation: 94-24=70
Exploring Operation: 24/12=2, Resulting Numbers: [84, 94, 2]
Generated Node #0,1: 74:[84, 94, 2] Operation: 24/12=2
Exploring Operation: 94-84=10, Resulting Numbers: [24, 12, 10]
Generated Node #0,2: 74:[24, 12, 10] Operation: 94-84=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[84, 12, 70], Operations: ['94-24=70']
Exploring Operation: 12+70=82, Resulting Numbers: [84, 82]
Generated Node #0,0,0: 74:[84, 82] Operation: 12+70=82
Exploring Operation: 84/12=7, Resulting Numbers: [70, 7]
Generated Node #0,0,1: 74:[70, 7] Operation: 84/12=7
Exploring Operation: 84-12=72, Resulting Numbers: [70, 72]
Generated Node #0,0,2: 74:[70, 72] Operation: 84-12=72
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 74:[70, 72], Operations: ['94-24=70', '84-12=72']
Exploring Operation: 72-70=2, Resulting Numbers: [2]
2,74 unequal: No Solution
Exploring Operation: 70*72=5040, Resulting Numbers: [5040]
5040,74 unequal: No Solution
Exploring Operation: 70+72=142, Resulting Numbers: [142]
142,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 74:[70, 7], Operations: ['94-24=70', '84/12=7']
Exploring Operation: 70+7=77, Resulting Numbers: [77]
77,74 unequal: No Solution
Exploring Operation: 70-7=63, Resulting Numbers: [63]
63,74 unequal: No Solution
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 74:[84, 82], Operations: ['94-24=70', '12+70=82']
Exploring Operation: 84+82=166, Resulting Numbers: [166]
166,74 unequal: No Solution
Exploring Operation: 84*82=6888, Resulting Numbers: [6888]
6888,74 unequal: No Solution
Exploring Operation: 84-82=2, Resulting Numbers: [2]
2,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[84, 94, 2], Operations: ['24/12=2']
Exploring Operation: 94/2=47, Resulting Numbers: [84, 47]
Generated Node #0,1,0: 74:[84, 47] Operation: 94/2=47
Exploring Operation: 94-84=10, Resulting Numbers: [2, 10]
Generated Node #0,1,1: 74:[2, 10] Operation: 94-84=10
Exploring Operation: 84/2=42, Resulting Numbers: [94, 42]
Generated Node #0,1,2: 74:[94, 42] Operation: 84/2=42
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 74:[2, 10], Operations: ['24/12=2', '94-84=10']
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,74 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,74 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,74 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 #0,1,0
Current State: 74:[84, 47], Operations: ['24/12=2', '94/2=47']
Exploring Operation: 84*47=3948, Resulting Numbers: [3948]
3948,74 unequal: No Solution
Exploring Operation: 84+47=131, Resulting Numbers: [131]
131,74 unequal: No Solution
Exploring Operation: 84-47=37, Resulting Numbers: [37]
37,74 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 #0,1,2
Current State: 74:[94, 42], Operations: ['24/12=2', '84/2=42']
Exploring Operation: 94-42=52, Resulting Numbers: [52]
52,74 unequal: No Solution
Exploring Operation: 94*42=3948, Resulting Numbers: [3948]
3948,74 unequal: No Solution
Exploring Operation: 94+42=136, Resulting Numbers: [136]
136,74 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 #0,2
Current State: 74:[24, 12, 10], Operations: ['94-84=10']
Exploring Operation: 24/12=2, Resulting Numbers: [10, 2]
Generated Node #0,2,0: 74:[10, 2] Operation: 24/12=2
Exploring Operation: 24+10=34, Resulting Numbers: [12, 34]
Generated Node #0,2,1: 74:[12, 34] Operation: 24+10=34
Exploring Operation: 24+12=36, Resulting Numbers: [10, 36]
Generated Node #0,2,2: 74:[10, 36] Operation: 24+12=36
Moving to Node #0,2,0
Current State: 74:[10, 2], Operations: ['94-84=10', '24/12=2']
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,74 unequal: No Solution
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,74 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,74 unequal: No Solution
Moving to Node #0,2,2
Current State: 74:[10, 36], Operations: ['94-84=10', '24+12=36']
Exploring Operation: 10*36=360, Resulting Numbers: [360]
360,74 unequal: No Solution
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,74 unequal: No Solution
Exploring Operation: 10+36=46, Resulting Numbers: [46]
46,74 unequal: No Solution
Moving to Node #0,2,1
Current State: 74:[12, 34], Operations: ['94-84=10', '24+10=34']
Exploring Operation: 34-12=22, Resulting Numbers: [22]
22,74 unequal: No Solution
Exploring Operation: 12+34=46, Resulting Numbers: [46]
46,74 unequal: No Solution
Exploring Operation: 12*34=408, Resulting Numbers: [408]
408,74 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 |
[
17,
46,
59,
73
] | 77 | [
"17+46=63",
"73-59=14",
"63+14=77"
] | Current State: 77:[17, 46, 59, 73], Operations: []
Exploring Operation: 17+46=63, Resulting Numbers: [59, 73, 63]
Generated Node #2: [59, 73, 63] from Operation: 17+46=63
Current State: 77:[59, 73, 63], Operations: ['17+46=63']
Exploring Operation: 73-59=14, Resulting Numbers: [63, 14]
Generated Node #3: [63, 14] from Operation: 73-59=14
Current State: 77:[63, 14], Operations: ['17+46=63', '73-59=14']
Exploring Operation: 63+14=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[17, 46, 59, 73], Operations: []
Exploring Operation: 59-46=13, Resulting Numbers: [17, 73, 13]
Generated Node #0,0: 77:[17, 73, 13] Operation: 59-46=13
Exploring Operation: 17+46=63, Resulting Numbers: [59, 73, 63]
Generated Node #0,1: 77:[59, 73, 63] Operation: 17+46=63
Exploring Operation: 17+59=76, Resulting Numbers: [46, 73, 76]
Generated Node #0,2: 77:[46, 73, 76] Operation: 17+59=76
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[17, 73, 13], Operations: ['59-46=13']
Exploring Operation: 17+73=90, Resulting Numbers: [13, 90]
Generated Node #0,0,0: 77:[13, 90] Operation: 17+73=90
Exploring Operation: 73+13=86, Resulting Numbers: [17, 86]
Generated Node #0,0,1: 77:[17, 86] Operation: 73+13=86
Exploring Operation: 17-13=4, Resulting Numbers: [73, 4]
Generated Node #0,0,2: 77:[73, 4] Operation: 17-13=4
Moving to Node #0,0,2
Current State: 77:[73, 4], Operations: ['59-46=13', '17-13=4']
Exploring Operation: 73*4=292, Resulting Numbers: [292]
292,77 unequal: No Solution
Exploring Operation: 73+4=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[17, 46, 59, 73], Operations: []
Exploring Operation: 59-46=13, Resulting Numbers: [17, 73, 13]
Generated Node #0,0: 77:[17, 73, 13] Operation: 59-46=13
Moving to Node #0,0
Current State: 77:[17, 73, 13], Operations: ['59-46=13']
Exploring Operation: 17-13=4, Resulting Numbers: [73, 4]
Generated Node #0,0,2: 77:[73, 4] Operation: 17-13=4
Moving to Node #0,0,2
Current State: 77:[73, 4], Operations: ['59-46=13', '17-13=4']
Exploring Operation: 73+4=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
27,
99,
68,
95
] | 99 | [
"27+99=126",
"95-68=27",
"126-27=99"
] | Current State: 99:[27, 99, 68, 95], Operations: []
Exploring Operation: 27+99=126, Resulting Numbers: [68, 95, 126]
Generated Node #2: [68, 95, 126] from Operation: 27+99=126
Current State: 99:[68, 95, 126], Operations: ['27+99=126']
Exploring Operation: 95-68=27, Resulting Numbers: [126, 27]
Generated Node #3: [126, 27] from Operation: 95-68=27
Current State: 99:[126, 27], Operations: ['27+99=126', '95-68=27']
Exploring Operation: 126-27=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[27, 99, 68, 95], Operations: []
Exploring Operation: 68-27=41, Resulting Numbers: [99, 95, 41]
Generated Node #0,0: 99:[99, 95, 41] Operation: 68-27=41
Exploring Operation: 27+68=95, Resulting Numbers: [99, 95, 95]
Generated Node #0,1: 99:[99, 95, 95] Operation: 27+68=95
Exploring Operation: 95-68=27, Resulting Numbers: [27, 99, 27]
Generated Node #0,2: 99:[27, 99, 27] Operation: 95-68=27
Exploring Operation: 99-68=31, Resulting Numbers: [27, 95, 31]
Generated Node #0,3: 99:[27, 95, 31] Operation: 99-68=31
Start Sub Search at level 1: Moving to Node #0,1
Current State: 99:[99, 95, 95], Operations: ['27+68=95']
Exploring Operation: 99-95=4, Resulting Numbers: [95, 4]
Generated Node #0,1,0: 99:[95, 4] Operation: 99-95=4
Exploring Operation: 95/95=1, Resulting Numbers: [99, 1]
Generated Node #0,1,1: 99:[99, 1] Operation: 95/95=1
Exploring Operation: 95-95=0, Resulting Numbers: [99, 0]
Generated Node #0,1,2: 99:[99, 0] Operation: 95-95=0
Exploring Operation: 99-95=4, Resulting Numbers: [95, 4]
Generated Node #0,1,3: 99:[95, 4] Operation: 99-95=4
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 99:[99, 1], Operations: ['27+68=95', '95/95=1']
Exploring Operation: 99+1=100, Resulting Numbers: [100]
100,99 unequal: No Solution
Exploring Operation: 99*1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[27, 99, 68, 95], Operations: []
Exploring Operation: 27+68=95, Resulting Numbers: [99, 95, 95]
Generated Node #0,1: 99:[99, 95, 95] Operation: 27+68=95
Moving to Node #0,1
Current State: 99:[99, 95, 95], Operations: ['27+68=95']
Exploring Operation: 95/95=1, Resulting Numbers: [99, 1]
Generated Node #0,1,1: 99:[99, 1] Operation: 95/95=1
Moving to Node #0,1,1
Current State: 99:[99, 1], Operations: ['27+68=95', '95/95=1']
Exploring Operation: 99*1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
91,
8,
83,
62
] | 61 | [
"91-8=83",
"83/83=1",
"62-1=61"
] | Current State: 61:[91, 8, 83, 62], Operations: []
Exploring Operation: 91-8=83, Resulting Numbers: [83, 62, 83]
Generated Node #2: [83, 62, 83] from Operation: 91-8=83
Current State: 61:[83, 62, 83], Operations: ['91-8=83']
Exploring Operation: 83/83=1, Resulting Numbers: [62, 1]
Generated Node #3: [62, 1] from Operation: 83/83=1
Current State: 61:[62, 1], Operations: ['91-8=83', '83/83=1']
Exploring Operation: 62-1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[91, 8, 83, 62], Operations: []
Exploring Operation: 83-8=75, Resulting Numbers: [91, 62, 75]
Generated Node #0,0: 61:[91, 62, 75] Operation: 83-8=75
Exploring Operation: 62-8=54, Resulting Numbers: [91, 83, 54]
Generated Node #0,1: 61:[91, 83, 54] Operation: 62-8=54
Exploring Operation: 91-8=83, Resulting Numbers: [83, 62, 83]
Generated Node #0,2: 61:[83, 62, 83] Operation: 91-8=83
Moving to Node #0,0
Current State: 61:[91, 62, 75], Operations: ['83-8=75']
Exploring Operation: 91-62=29, Resulting Numbers: [75, 29]
Generated Node #0,0,0: 61:[75, 29] Operation: 91-62=29
Exploring Operation: 75-62=13, Resulting Numbers: [91, 13]
Generated Node #0,0,1: 61:[91, 13] Operation: 75-62=13
Exploring Operation: 91-75=16, Resulting Numbers: [62, 16]
Generated Node #0,0,2: 61:[62, 16] Operation: 91-75=16
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 61:[75, 29], Operations: ['83-8=75', '91-62=29']
Exploring Operation: 75*29=2175, Resulting Numbers: [2175]
2175,61 unequal: No Solution
Exploring Operation: 75-29=46, Resulting Numbers: [46]
46,61 unequal: No Solution
Exploring Operation: 75+29=104, Resulting Numbers: [104]
104,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 61:[62, 16], Operations: ['83-8=75', '91-75=16']
Exploring Operation: 62-16=46, Resulting Numbers: [46]
46,61 unequal: No Solution
Exploring Operation: 62*16=992, Resulting Numbers: [992]
992,61 unequal: No Solution
Exploring Operation: 62+16=78, Resulting Numbers: [78]
78,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 61:[91, 13], Operations: ['83-8=75', '75-62=13']
Exploring Operation: 91-13=78, Resulting Numbers: [78]
78,61 unequal: No Solution
Exploring Operation: 91/13=7, Resulting Numbers: [7]
7,61 unequal: No Solution
Exploring Operation: 91+13=104, Resulting Numbers: [104]
104,61 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: 61:[83, 62, 83], Operations: ['91-8=83']
Exploring Operation: 83-62=21, Resulting Numbers: [83, 21]
Generated Node #0,2,0: 61:[83, 21] Operation: 83-62=21
Exploring Operation: 83-83=0, Resulting Numbers: [62, 0]
Generated Node #0,2,1: 61:[62, 0] Operation: 83-83=0
Exploring Operation: 83/83=1, Resulting Numbers: [62, 1]
Generated Node #0,2,2: 61:[62, 1] Operation: 83/83=1
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 61:[62, 1], Operations: ['91-8=83', '83/83=1']
Exploring Operation: 62-1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[91, 8, 83, 62], Operations: []
Exploring Operation: 91-8=83, Resulting Numbers: [83, 62, 83]
Generated Node #0,2: 61:[83, 62, 83] Operation: 91-8=83
Moving to Node #0,2
Current State: 61:[83, 62, 83], Operations: ['91-8=83']
Exploring Operation: 83/83=1, Resulting Numbers: [62, 1]
Generated Node #0,2,2: 61:[62, 1] Operation: 83/83=1
Moving to Node #0,2,2
Current State: 61:[62, 1], Operations: ['91-8=83', '83/83=1']
Exploring Operation: 62-1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_3 | mult_heuristic |
[
51,
22,
66,
90
] | 81 | [
"66/22=3",
"90/3=30",
"51+30=81"
] | Current State: 81:[51, 22, 66, 90], Operations: []
Exploring Operation: 66/22=3, Resulting Numbers: [51, 90, 3]
Generated Node #2: [51, 90, 3] from Operation: 66/22=3
Current State: 81:[51, 90, 3], Operations: ['66/22=3']
Exploring Operation: 90/3=30, Resulting Numbers: [51, 30]
Generated Node #3: [51, 30] from Operation: 90/3=30
Current State: 81:[51, 30], Operations: ['66/22=3', '90/3=30']
Exploring Operation: 51+30=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[51, 22, 66, 90], Operations: []
Exploring Operation: 66-51=15, Resulting Numbers: [22, 90, 15]
Generated Node #0,0: 81:[22, 90, 15] Operation: 66-51=15
Moving to Node #0,0
Current State: 81:[22, 90, 15], Operations: ['66-51=15']
Exploring Operation: 90/15=6, Resulting Numbers: [22, 6]
Generated Node #0,0,0: 81:[22, 6] Operation: 90/15=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[22, 6], Operations: ['66-51=15', '90/15=6']
Exploring Operation: 22+6=28, Resulting Numbers: [28]
28,81 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 |
[
7,
12,
3,
61
] | 69 | [
"7*12=84",
"84-61=23",
"3*23=69"
] | Current State: 69:[7, 12, 3, 61], Operations: []
Exploring Operation: 7*12=84, Resulting Numbers: [3, 61, 84]
Generated Node #2: [3, 61, 84] from Operation: 7*12=84
Current State: 69:[3, 61, 84], Operations: ['7*12=84']
Exploring Operation: 84-61=23, Resulting Numbers: [3, 23]
Generated Node #3: [3, 23] from Operation: 84-61=23
Current State: 69:[3, 23], Operations: ['7*12=84', '84-61=23']
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[7, 12, 3, 61], Operations: []
Exploring Operation: 12+61=73, Resulting Numbers: [7, 3, 73]
Generated Node #0,0: 69:[7, 3, 73] Operation: 12+61=73
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[7, 3, 73], Operations: ['12+61=73']
Exploring Operation: 73-7=66, Resulting Numbers: [3, 66]
Generated Node #0,0,0: 69:[3, 66] Operation: 73-7=66
Moving to Node #0,0,0
Current State: 69:[3, 66], Operations: ['12+61=73', '73-7=66']
Exploring Operation: 3+66=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[7, 12, 3, 61], Operations: []
Exploring Operation: 12+61=73, Resulting Numbers: [7, 3, 73]
Generated Node #0,0: 69:[7, 3, 73] Operation: 12+61=73
Moving to Node #0,0
Current State: 69:[7, 3, 73], Operations: ['12+61=73']
Exploring Operation: 73-7=66, Resulting Numbers: [3, 66]
Generated Node #0,0,0: 69:[3, 66] Operation: 73-7=66
Moving to Node #0,0,0
Current State: 69:[3, 66], Operations: ['12+61=73', '73-7=66']
Exploring Operation: 3+66=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
5,
75,
64,
53
] | 91 | [
"5+75=80",
"64-53=11",
"80+11=91"
] | Current State: 91:[5, 75, 64, 53], Operations: []
Exploring Operation: 5+75=80, Resulting Numbers: [64, 53, 80]
Generated Node #2: [64, 53, 80] from Operation: 5+75=80
Current State: 91:[64, 53, 80], Operations: ['5+75=80']
Exploring Operation: 64-53=11, Resulting Numbers: [80, 11]
Generated Node #3: [80, 11] from Operation: 64-53=11
Current State: 91:[80, 11], Operations: ['5+75=80', '64-53=11']
Exploring Operation: 80+11=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[5, 75, 64, 53], Operations: []
Exploring Operation: 64-53=11, Resulting Numbers: [5, 75, 11]
Generated Node #0,0: 91:[5, 75, 11] Operation: 64-53=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[5, 75, 11], Operations: ['64-53=11']
Exploring Operation: 75/5=15, Resulting Numbers: [11, 15]
Generated Node #0,0,0: 91:[11, 15] Operation: 75/5=15
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 91:[11, 15], Operations: ['64-53=11', '75/5=15']
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
24,
80,
52,
8
] | 38 | [
"52-24=28",
"80/8=10",
"28+10=38"
] | Current State: 38:[24, 80, 52, 8], Operations: []
Exploring Operation: 52-24=28, Resulting Numbers: [80, 8, 28]
Generated Node #2: [80, 8, 28] from Operation: 52-24=28
Current State: 38:[80, 8, 28], Operations: ['52-24=28']
Exploring Operation: 80/8=10, Resulting Numbers: [28, 10]
Generated Node #3: [28, 10] from Operation: 80/8=10
Current State: 38:[28, 10], Operations: ['52-24=28', '80/8=10']
Exploring Operation: 28+10=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[24, 80, 52, 8], Operations: []
Exploring Operation: 80-52=28, Resulting Numbers: [24, 8, 28]
Generated Node #0,0: 38:[24, 8, 28] Operation: 80-52=28
Exploring Operation: 80/8=10, Resulting Numbers: [24, 52, 10]
Generated Node #0,1: 38:[24, 52, 10] Operation: 80/8=10
Moving to Node #0,0
Current State: 38:[24, 8, 28], Operations: ['80-52=28']
Exploring Operation: 8+28=36, Resulting Numbers: [24, 36]
Generated Node #0,0,0: 38:[24, 36] Operation: 8+28=36
Exploring Operation: 28-8=20, Resulting Numbers: [24, 20]
Generated Node #0,0,1: 38:[24, 20] Operation: 28-8=20
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 38:[24, 20], Operations: ['80-52=28', '28-8=20']
Exploring Operation: 24-20=4, Resulting Numbers: [4]
4,38 unequal: No Solution
Exploring Operation: 24+20=44, Resulting Numbers: [44]
44,38 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:[24, 36], Operations: ['80-52=28', '8+28=36']
Exploring Operation: 36-24=12, Resulting Numbers: [12]
12,38 unequal: No Solution
Exploring Operation: 24+36=60, Resulting Numbers: [60]
60,38 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:[24, 52, 10], Operations: ['80/8=10']
Exploring Operation: 52-10=42, Resulting Numbers: [24, 42]
Generated Node #0,1,0: 38:[24, 42] Operation: 52-10=42
Exploring Operation: 52-24=28, Resulting Numbers: [10, 28]
Generated Node #0,1,1: 38:[10, 28] Operation: 52-24=28
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 38:[24, 42], Operations: ['80/8=10', '52-10=42']
Exploring Operation: 42-24=18, Resulting Numbers: [18]
18,38 unequal: No Solution
Exploring Operation: 24+42=66, Resulting Numbers: [66]
66,38 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 #0,1,1
Current State: 38:[10, 28], Operations: ['80/8=10', '52-24=28']
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,38 unequal: No Solution
Exploring Operation: 10+28=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[24, 80, 52, 8], Operations: []
Exploring Operation: 80/8=10, Resulting Numbers: [24, 52, 10]
Generated Node #0,1: 38:[24, 52, 10] Operation: 80/8=10
Moving to Node #0,1
Current State: 38:[24, 52, 10], Operations: ['80/8=10']
Exploring Operation: 52-24=28, Resulting Numbers: [10, 28]
Generated Node #0,1,1: 38:[10, 28] Operation: 52-24=28
Moving to Node #0,1,1
Current State: 38:[10, 28], Operations: ['80/8=10', '52-24=28']
Exploring Operation: 10+28=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_2 | mult_heuristic |
[
51,
59,
3,
53
] | 64 | [
"59-51=8",
"3+53=56",
"8+56=64"
] | Current State: 64:[51, 59, 3, 53], Operations: []
Exploring Operation: 59-51=8, Resulting Numbers: [3, 53, 8]
Generated Node #2: [3, 53, 8] from Operation: 59-51=8
Current State: 64:[3, 53, 8], Operations: ['59-51=8']
Exploring Operation: 3+53=56, Resulting Numbers: [8, 56]
Generated Node #3: [8, 56] from Operation: 3+53=56
Current State: 64:[8, 56], Operations: ['59-51=8', '3+53=56']
Exploring Operation: 8+56=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[51, 59, 3, 53], Operations: []
Exploring Operation: 59-53=6, Resulting Numbers: [51, 3, 6]
Generated Node #0,0: 64:[51, 3, 6] Operation: 59-53=6
Exploring Operation: 51+3=54, Resulting Numbers: [59, 53, 54]
Generated Node #0,1: 64:[59, 53, 54] Operation: 51+3=54
Exploring Operation: 53-51=2, Resulting Numbers: [59, 3, 2]
Generated Node #0,2: 64:[59, 3, 2] Operation: 53-51=2
Exploring Operation: 59-51=8, Resulting Numbers: [3, 53, 8]
Generated Node #0,3: 64:[3, 53, 8] Operation: 59-51=8
Exploring Operation: 51/3=17, Resulting Numbers: [59, 53, 17]
Generated Node #0,4: 64:[59, 53, 17] Operation: 51/3=17
Moving to Node #0,2
Current State: 64:[59, 3, 2], Operations: ['53-51=2']
Exploring Operation: 3-2=1, Resulting Numbers: [59, 1]
Generated Node #0,2,0: 64:[59, 1] Operation: 3-2=1
Exploring Operation: 59+2=61, Resulting Numbers: [3, 61]
Generated Node #0,2,1: 64:[3, 61] Operation: 59+2=61
Exploring Operation: 3+2=5, Resulting Numbers: [59, 5]
Generated Node #0,2,2: 64:[59, 5] Operation: 3+2=5
Exploring Operation: 3*2=6, Resulting Numbers: [59, 6]
Generated Node #0,2,3: 64:[59, 6] Operation: 3*2=6
Exploring Operation: 59+3=62, Resulting Numbers: [2, 62]
Generated Node #0,2,4: 64:[2, 62] Operation: 59+3=62
Moving to Node #0,3
Current State: 64:[3, 53, 8], Operations: ['59-51=8']
Exploring Operation: 3+8=11, Resulting Numbers: [53, 11]
Generated Node #0,3,0: 64:[53, 11] Operation: 3+8=11
Exploring Operation: 3+53=56, Resulting Numbers: [8, 56]
Generated Node #0,3,1: 64:[8, 56] Operation: 3+53=56
Exploring Operation: 53-3=50, Resulting Numbers: [8, 50]
Generated Node #0,3,2: 64:[8, 50] Operation: 53-3=50
Exploring Operation: 53+8=61, Resulting Numbers: [3, 61]
Generated Node #0,3,3: 64:[3, 61] Operation: 53+8=61
Exploring Operation: 8-3=5, Resulting Numbers: [53, 5]
Generated Node #0,3,4: 64:[53, 5] Operation: 8-3=5
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 64:[3, 61], Operations: ['59-51=8', '53+8=61']
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,64 unequal: No Solution
Exploring Operation: 3*61=183, Resulting Numbers: [183]
183,64 unequal: No Solution
Exploring Operation: 3+61=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[51, 59, 3, 53], Operations: []
Exploring Operation: 59-51=8, Resulting Numbers: [3, 53, 8]
Generated Node #0,3: 64:[3, 53, 8] Operation: 59-51=8
Moving to Node #0,3
Current State: 64:[3, 53, 8], Operations: ['59-51=8']
Exploring Operation: 53+8=61, Resulting Numbers: [3, 61]
Generated Node #0,3,3: 64:[3, 61] Operation: 53+8=61
Moving to Node #0,3,3
Current State: 64:[3, 61], Operations: ['59-51=8', '53+8=61']
Exploring Operation: 3+61=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | sum_heuristic |
[
67,
13,
89,
66
] | 57 | [
"67+13=80",
"89-66=23",
"80-23=57"
] | Current State: 57:[67, 13, 89, 66], Operations: []
Exploring Operation: 67+13=80, Resulting Numbers: [89, 66, 80]
Generated Node #2: [89, 66, 80] from Operation: 67+13=80
Current State: 57:[89, 66, 80], Operations: ['67+13=80']
Exploring Operation: 89-66=23, Resulting Numbers: [80, 23]
Generated Node #3: [80, 23] from Operation: 89-66=23
Current State: 57:[80, 23], Operations: ['67+13=80', '89-66=23']
Exploring Operation: 80-23=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[67, 13, 89, 66], Operations: []
Exploring Operation: 89-13=76, Resulting Numbers: [67, 66, 76]
Generated Node #0,0: 57:[67, 66, 76] Operation: 89-13=76
Exploring Operation: 67-13=54, Resulting Numbers: [89, 66, 54]
Generated Node #0,1: 57:[89, 66, 54] Operation: 67-13=54
Exploring Operation: 89-66=23, Resulting Numbers: [67, 13, 23]
Generated Node #0,2: 57:[67, 13, 23] Operation: 89-66=23
Exploring Operation: 67-66=1, Resulting Numbers: [13, 89, 1]
Generated Node #0,3: 57:[13, 89, 1] Operation: 67-66=1
Exploring Operation: 89-67=22, Resulting Numbers: [13, 66, 22]
Generated Node #0,4: 57:[13, 66, 22] Operation: 89-67=22
Start Sub Search at level 1: Moving to Node #0,4
Current State: 57:[13, 66, 22], Operations: ['89-67=22']
Exploring Operation: 66-22=44, Resulting Numbers: [13, 44]
Generated Node #0,4,0: 57:[13, 44] Operation: 66-22=44
Exploring Operation: 66-13=53, Resulting Numbers: [22, 53]
Generated Node #0,4,1: 57:[22, 53] Operation: 66-13=53
Exploring Operation: 13+66=79, Resulting Numbers: [22, 79]
Generated Node #0,4,2: 57:[22, 79] Operation: 13+66=79
Exploring Operation: 66/22=3, Resulting Numbers: [13, 3]
Generated Node #0,4,3: 57:[13, 3] Operation: 66/22=3
Exploring Operation: 22-13=9, Resulting Numbers: [66, 9]
Generated Node #0,4,4: 57:[66, 9] Operation: 22-13=9
Moving to Node #0,4,3
Current State: 57:[13, 3], Operations: ['89-67=22', '66/22=3']
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,57 unequal: No Solution
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,57 unequal: No Solution
Exploring Operation: 13+3=16, Resulting Numbers: [16]
16,57 unequal: No Solution
Moving to Node #0,4,1
Current State: 57:[22, 53], Operations: ['89-67=22', '66-13=53']
Exploring Operation: 53-22=31, Resulting Numbers: [31]
31,57 unequal: No Solution
Exploring Operation: 22+53=75, Resulting Numbers: [75]
75,57 unequal: No Solution
Exploring Operation: 22*53=1166, Resulting Numbers: [1166]
1166,57 unequal: No Solution
Moving to Node #0,4,4
Current State: 57:[66, 9], Operations: ['89-67=22', '22-13=9']
Exploring Operation: 66*9=594, Resulting Numbers: [594]
594,57 unequal: No Solution
Exploring Operation: 66+9=75, Resulting Numbers: [75]
75,57 unequal: No Solution
Exploring Operation: 66-9=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[67, 13, 89, 66], Operations: []
Exploring Operation: 89-67=22, Resulting Numbers: [13, 66, 22]
Generated Node #0,4: 57:[13, 66, 22] Operation: 89-67=22
Moving to Node #0,4
Current State: 57:[13, 66, 22], Operations: ['89-67=22']
Exploring Operation: 22-13=9, Resulting Numbers: [66, 9]
Generated Node #0,4,4: 57:[66, 9] Operation: 22-13=9
Moving to Node #0,4,4
Current State: 57:[66, 9], Operations: ['89-67=22', '22-13=9']
Exploring Operation: 66-9=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
35,
25,
58,
91
] | 37 | [
"25+91=116",
"116/58=2",
"35+2=37"
] | Current State: 37:[35, 25, 58, 91], Operations: []
Exploring Operation: 25+91=116, Resulting Numbers: [35, 58, 116]
Generated Node #2: [35, 58, 116] from Operation: 25+91=116
Current State: 37:[35, 58, 116], Operations: ['25+91=116']
Exploring Operation: 116/58=2, Resulting Numbers: [35, 2]
Generated Node #3: [35, 2] from Operation: 116/58=2
Current State: 37:[35, 2], Operations: ['25+91=116', '116/58=2']
Exploring Operation: 35+2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[35, 25, 58, 91], Operations: []
Exploring Operation: 58-35=23, Resulting Numbers: [25, 91, 23]
Generated Node #0,0: 37:[25, 91, 23] Operation: 58-35=23
Exploring Operation: 91-35=56, Resulting Numbers: [25, 58, 56]
Generated Node #0,1: 37:[25, 58, 56] Operation: 91-35=56
Exploring Operation: 91-25=66, Resulting Numbers: [35, 58, 66]
Generated Node #0,2: 37:[35, 58, 66] Operation: 91-25=66
Exploring Operation: 58-25=33, Resulting Numbers: [35, 91, 33]
Generated Node #0,3: 37:[35, 91, 33] Operation: 58-25=33
Exploring Operation: 91-58=33, Resulting Numbers: [35, 25, 33]
Generated Node #0,4: 37:[35, 25, 33] Operation: 91-58=33
Moving to Node #0,4
Current State: 37:[35, 25, 33], Operations: ['91-58=33']
Exploring Operation: 35+25=60, Resulting Numbers: [33, 60]
Generated Node #0,4,0: 37:[33, 60] Operation: 35+25=60
Exploring Operation: 35+33=68, Resulting Numbers: [25, 68]
Generated Node #0,4,1: 37:[25, 68] Operation: 35+33=68
Exploring Operation: 25+33=58, Resulting Numbers: [35, 58]
Generated Node #0,4,2: 37:[35, 58] Operation: 25+33=58
Exploring Operation: 35-25=10, Resulting Numbers: [33, 10]
Generated Node #0,4,3: 37:[33, 10] Operation: 35-25=10
Exploring Operation: 33-25=8, Resulting Numbers: [35, 8]
Generated Node #0,4,4: 37:[35, 8] Operation: 33-25=8
Moving to Node #0,2
Current State: 37:[35, 58, 66], Operations: ['91-25=66']
Exploring Operation: 35+66=101, Resulting Numbers: [58, 101]
Generated Node #0,2,0: 37:[58, 101] Operation: 35+66=101
Exploring Operation: 66-58=8, Resulting Numbers: [35, 8]
Generated Node #0,2,1: 37:[35, 8] Operation: 66-58=8
Exploring Operation: 35+58=93, Resulting Numbers: [66, 93]
Generated Node #0,2,2: 37:[66, 93] Operation: 35+58=93
Exploring Operation: 58-35=23, Resulting Numbers: [66, 23]
Generated Node #0,2,3: 37:[66, 23] Operation: 58-35=23
Exploring Operation: 66-35=31, Resulting Numbers: [58, 31]
Generated Node #0,2,4: 37:[58, 31] Operation: 66-35=31
Moving to Node #0,1
Current State: 37:[25, 58, 56], Operations: ['91-35=56']
Exploring Operation: 25+58=83, Resulting Numbers: [56, 83]
Generated Node #0,1,0: 37:[56, 83] Operation: 25+58=83
Exploring Operation: 58-25=33, Resulting Numbers: [56, 33]
Generated Node #0,1,1: 37:[56, 33] Operation: 58-25=33
Exploring Operation: 56-25=31, Resulting Numbers: [58, 31]
Generated Node #0,1,2: 37:[58, 31] Operation: 56-25=31
Exploring Operation: 25+56=81, Resulting Numbers: [58, 81]
Generated Node #0,1,3: 37:[58, 81] Operation: 25+56=81
Exploring Operation: 58-56=2, Resulting Numbers: [25, 2]
Generated Node #0,1,4: 37:[25, 2] Operation: 58-56=2
Moving to Node #0,3
Current State: 37:[35, 91, 33], Operations: ['58-25=33']
Exploring Operation: 91+33=124, Resulting Numbers: [35, 124]
Generated Node #0,3,0: 37:[35, 124] Operation: 91+33=124
Exploring Operation: 35-33=2, Resulting Numbers: [91, 2]
Generated Node #0,3,1: 37:[91, 2] Operation: 35-33=2
Exploring Operation: 35+33=68, Resulting Numbers: [91, 68]
Generated Node #0,3,2: 37:[91, 68] Operation: 35+33=68
Exploring Operation: 91-33=58, Resulting Numbers: [35, 58]
Generated Node #0,3,3: 37:[35, 58] Operation: 91-33=58
Exploring Operation: 91-35=56, Resulting Numbers: [33, 56]
Generated Node #0,3,4: 37:[33, 56] Operation: 91-35=56
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 37:[35, 58], Operations: ['58-25=33', '91-33=58']
Exploring Operation: 58-35=23, Resulting Numbers: [23]
23,37 unequal: No Solution
Exploring Operation: 35+58=93, Resulting Numbers: [93]
93,37 unequal: No Solution
Exploring Operation: 35*58=2030, Resulting Numbers: [2030]
2030,37 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 #0,3,4
Current State: 37:[33, 56], Operations: ['58-25=33', '91-35=56']
Exploring Operation: 56-33=23, Resulting Numbers: [23]
23,37 unequal: No Solution
Exploring Operation: 33*56=1848, Resulting Numbers: [1848]
1848,37 unequal: No Solution
Exploring Operation: 33+56=89, Resulting Numbers: [89]
89,37 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 #0,3,2
Current State: 37:[91, 68], Operations: ['58-25=33', '35+33=68']
Exploring Operation: 91-68=23, Resulting Numbers: [23]
23,37 unequal: No Solution
Exploring Operation: 91+68=159, Resulting Numbers: [159]
159,37 unequal: No Solution
Exploring Operation: 91*68=6188, Resulting Numbers: [6188]
6188,37 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 #0,3,0
Current State: 37:[35, 124], Operations: ['58-25=33', '91+33=124']
Exploring Operation: 35*124=4340, Resulting Numbers: [4340]
4340,37 unequal: No Solution
Exploring Operation: 35+124=159, Resulting Numbers: [159]
159,37 unequal: No Solution
Exploring Operation: 124-35=89, Resulting Numbers: [89]
89,37 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 #0,3,1
Current State: 37:[91, 2], Operations: ['58-25=33', '35-33=2']
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,37 unequal: No Solution
Exploring Operation: 91+2=93, Resulting Numbers: [93]
93,37 unequal: No Solution
Exploring Operation: 91*2=182, Resulting Numbers: [182]
182,37 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: 37:[25, 91, 23], Operations: ['58-35=23']
Exploring Operation: 91+23=114, Resulting Numbers: [25, 114]
Generated Node #0,0,0: 37:[25, 114] Operation: 91+23=114
Exploring Operation: 25-23=2, Resulting Numbers: [91, 2]
Generated Node #0,0,1: 37:[91, 2] Operation: 25-23=2
Exploring Operation: 25+23=48, Resulting Numbers: [91, 48]
Generated Node #0,0,2: 37:[91, 48] Operation: 25+23=48
Exploring Operation: 91-23=68, Resulting Numbers: [25, 68]
Generated Node #0,0,3: 37:[25, 68] Operation: 91-23=68
Exploring Operation: 91-25=66, Resulting Numbers: [23, 66]
Generated Node #0,0,4: 37:[23, 66] Operation: 91-25=66
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 37:[25, 68], Operations: ['58-35=23', '91-23=68']
Exploring Operation: 25*68=1700, Resulting Numbers: [1700]
1700,37 unequal: No Solution
Exploring Operation: 68-25=43, Resulting Numbers: [43]
43,37 unequal: No Solution
Exploring Operation: 25+68=93, Resulting Numbers: [93]
93,37 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 #0,0,4
Current State: 37:[23, 66], Operations: ['58-35=23', '91-25=66']
Exploring Operation: 23*66=1518, Resulting Numbers: [1518]
1518,37 unequal: No Solution
Exploring Operation: 66-23=43, Resulting Numbers: [43]
43,37 unequal: No Solution
Exploring Operation: 23+66=89, Resulting Numbers: [89]
89,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 37:[91, 48], Operations: ['58-35=23', '25+23=48']
Exploring Operation: 91-48=43, Resulting Numbers: [43]
43,37 unequal: No Solution
Exploring Operation: 91*48=4368, Resulting Numbers: [4368]
4368,37 unequal: No Solution
Exploring Operation: 91+48=139, Resulting Numbers: [139]
139,37 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:[25, 114], Operations: ['58-35=23', '91+23=114']
Exploring Operation: 114-25=89, Resulting Numbers: [89]
89,37 unequal: No Solution
Exploring Operation: 25+114=139, Resulting Numbers: [139]
139,37 unequal: No Solution
Exploring Operation: 25*114=2850, Resulting Numbers: [2850]
2850,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 37:[91, 2], Operations: ['58-35=23', '25-23=2']
Exploring Operation: 91+2=93, Resulting Numbers: [93]
93,37 unequal: No Solution
Exploring Operation: 91*2=182, Resulting Numbers: [182]
182,37 unequal: No Solution
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,2
Current State: 37:[35, 58], Operations: ['91-58=33', '25+33=58']
Exploring Operation: 58-35=23, Resulting Numbers: [23]
23,37 unequal: No Solution
Exploring Operation: 35*58=2030, Resulting Numbers: [2030]
2030,37 unequal: No Solution
Exploring Operation: 35+58=93, Resulting Numbers: [93]
93,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[56, 33], Operations: ['91-35=56', '58-25=33']
Exploring Operation: 56*33=1848, Resulting Numbers: [1848]
1848,37 unequal: No Solution
Exploring Operation: 56-33=23, Resulting Numbers: [23]
23,37 unequal: No Solution
Exploring Operation: 56+33=89, Resulting Numbers: [89]
89,37 unequal: No Solution
Moving to Node #0,2,4
Current State: 37:[58, 31], Operations: ['91-25=66', '66-35=31']
Exploring Operation: 58*31=1798, Resulting Numbers: [1798]
1798,37 unequal: No Solution
Exploring Operation: 58+31=89, Resulting Numbers: [89]
89,37 unequal: No Solution
Exploring Operation: 58-31=27, Resulting Numbers: [27]
27,37 unequal: No Solution
Moving to Node #0,1,2
Current State: 37:[58, 31], Operations: ['91-35=56', '56-25=31']
Exploring Operation: 58-31=27, Resulting Numbers: [27]
27,37 unequal: No Solution
Exploring Operation: 58+31=89, Resulting Numbers: [89]
89,37 unequal: No Solution
Exploring Operation: 58*31=1798, Resulting Numbers: [1798]
1798,37 unequal: No Solution
Moving to Node #0,4,0
Current State: 37:[33, 60], Operations: ['91-58=33', '35+25=60']
Exploring Operation: 60-33=27, Resulting Numbers: [27]
27,37 unequal: No Solution
Exploring Operation: 33*60=1980, Resulting Numbers: [1980]
1980,37 unequal: No Solution
Exploring Operation: 33+60=93, Resulting Numbers: [93]
93,37 unequal: No Solution
Moving to Node #0,2,1
Current State: 37:[35, 8], Operations: ['91-25=66', '66-58=8']
Exploring Operation: 35*8=280, Resulting Numbers: [280]
280,37 unequal: No Solution
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,37 unequal: No Solution
Exploring Operation: 35+8=43, Resulting Numbers: [43]
43,37 unequal: No Solution
Moving to Node #0,4,3
Current State: 37:[33, 10], Operations: ['91-58=33', '35-25=10']
Exploring Operation: 33+10=43, Resulting Numbers: [43]
43,37 unequal: No Solution
Exploring Operation: 33*10=330, Resulting Numbers: [330]
330,37 unequal: No Solution
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,37 unequal: No Solution
Moving to Node #0,4,4
Current State: 37:[35, 8], Operations: ['91-58=33', '33-25=8']
Exploring Operation: 35+8=43, Resulting Numbers: [43]
43,37 unequal: No Solution
Exploring Operation: 35*8=280, Resulting Numbers: [280]
280,37 unequal: No Solution
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,37 unequal: No Solution
Moving to Node #0,4,1
Current State: 37:[25, 68], Operations: ['91-58=33', '35+33=68']
Exploring Operation: 25+68=93, Resulting Numbers: [93]
93,37 unequal: No Solution
Exploring Operation: 68-25=43, Resulting Numbers: [43]
43,37 unequal: No Solution
Exploring Operation: 25*68=1700, Resulting Numbers: [1700]
1700,37 unequal: No Solution
Moving to Node #0,2,3
Current State: 37:[66, 23], Operations: ['91-25=66', '58-35=23']
Exploring Operation: 66*23=1518, Resulting Numbers: [1518]
1518,37 unequal: No Solution
Exploring Operation: 66+23=89, Resulting Numbers: [89]
89,37 unequal: No Solution
Exploring Operation: 66-23=43, Resulting Numbers: [43]
43,37 unequal: No Solution
Moving to Node #0,1,4
Current State: 37:[25, 2], Operations: ['91-35=56', '58-56=2']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,37 unequal: No Solution
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,37 unequal: No Solution
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,37 unequal: No Solution
Moving to Node #0,1,3
Current State: 37:[58, 81], Operations: ['91-35=56', '25+56=81']
Exploring Operation: 58*81=4698, Resulting Numbers: [4698]
4698,37 unequal: No Solution
Exploring Operation: 58+81=139, Resulting Numbers: [139]
139,37 unequal: No Solution
Exploring Operation: 81-58=23, Resulting Numbers: [23]
23,37 unequal: No Solution
Moving to Node #0,1,0
Current State: 37:[56, 83], Operations: ['91-35=56', '25+58=83']
Exploring Operation: 56*83=4648, Resulting Numbers: [4648]
4648,37 unequal: No Solution
Exploring Operation: 56+83=139, Resulting Numbers: [139]
139,37 unequal: No Solution
Exploring Operation: 83-56=27, Resulting Numbers: [27]
27,37 unequal: No Solution
Moving to Node #0,2,2
Current State: 37:[66, 93], Operations: ['91-25=66', '35+58=93']
Exploring Operation: 93-66=27, Resulting Numbers: [27]
27,37 unequal: No Solution
Exploring Operation: 66+93=159, Resulting Numbers: [159]
159,37 unequal: No Solution
Exploring Operation: 66*93=6138, Resulting Numbers: [6138]
6138,37 unequal: No Solution
Moving to Node #0,2,0
Current State: 37:[58, 101], Operations: ['91-25=66', '35+66=101']
Exploring Operation: 101-58=43, Resulting Numbers: [43]
43,37 unequal: No Solution
Exploring Operation: 58+101=159, Resulting Numbers: [159]
159,37 unequal: No Solution
Exploring Operation: 58*101=5858, Resulting Numbers: [5858]
5858,37 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
59,
73,
35,
37
] | 16 | [
"73-59=14",
"37-35=2",
"14+2=16"
] | Current State: 16:[59, 73, 35, 37], Operations: []
Exploring Operation: 73-59=14, Resulting Numbers: [35, 37, 14]
Generated Node #2: [35, 37, 14] from Operation: 73-59=14
Current State: 16:[35, 37, 14], Operations: ['73-59=14']
Exploring Operation: 37-35=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 37-35=2
Current State: 16:[14, 2], Operations: ['73-59=14', '37-35=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[59, 73, 35, 37], Operations: []
Exploring Operation: 73-59=14, Resulting Numbers: [35, 37, 14]
Generated Node #0,0: 16:[35, 37, 14] Operation: 73-59=14
Moving to Node #0,0
Current State: 16:[35, 37, 14], Operations: ['73-59=14']
Exploring Operation: 37-35=2, Resulting Numbers: [14, 2]
Generated Node #0,0,0: 16:[14, 2] Operation: 37-35=2
Moving to Node #0,0,0
Current State: 16:[14, 2], Operations: ['73-59=14', '37-35=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[59, 73, 35, 37], Operations: []
Exploring Operation: 73-59=14, Resulting Numbers: [35, 37, 14]
Generated Node #0,0: 16:[35, 37, 14] Operation: 73-59=14
Moving to Node #0,0
Current State: 16:[35, 37, 14], Operations: ['73-59=14']
Exploring Operation: 37-35=2, Resulting Numbers: [14, 2]
Generated Node #0,0,0: 16:[14, 2] Operation: 37-35=2
Moving to Node #0,0,0
Current State: 16:[14, 2], Operations: ['73-59=14', '37-35=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
15,
63,
57,
78
] | 58 | [
"15+63=78",
"78/78=1",
"57+1=58"
] | Current State: 58:[15, 63, 57, 78], Operations: []
Exploring Operation: 15+63=78, Resulting Numbers: [57, 78, 78]
Generated Node #2: [57, 78, 78] from Operation: 15+63=78
Current State: 58:[57, 78, 78], Operations: ['15+63=78']
Exploring Operation: 78/78=1, Resulting Numbers: [57, 1]
Generated Node #3: [57, 1] from Operation: 78/78=1
Current State: 58:[57, 1], Operations: ['15+63=78', '78/78=1']
Exploring Operation: 57+1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[15, 63, 57, 78], Operations: []
Exploring Operation: 78-63=15, Resulting Numbers: [15, 57, 15]
Generated Node #0,0: 58:[15, 57, 15] Operation: 78-63=15
Exploring Operation: 78-57=21, Resulting Numbers: [15, 63, 21]
Generated Node #0,1: 58:[15, 63, 21] Operation: 78-57=21
Exploring Operation: 78-15=63, Resulting Numbers: [63, 57, 63]
Generated Node #0,2: 58:[63, 57, 63] Operation: 78-15=63
Start Sub Search at level 1: Moving to Node #0,2
Current State: 58:[63, 57, 63], Operations: ['78-15=63']
Exploring Operation: 63/63=1, Resulting Numbers: [57, 1]
Generated Node #0,2,0: 58:[57, 1] Operation: 63/63=1
Exploring Operation: 63-63=0, Resulting Numbers: [57, 0]
Generated Node #0,2,1: 58:[57, 0] Operation: 63-63=0
Exploring Operation: 63-57=6, Resulting Numbers: [63, 6]
Generated Node #0,2,2: 58:[63, 6] Operation: 63-57=6
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 58:[57, 1], Operations: ['78-15=63', '63/63=1']
Exploring Operation: 57/1=57, Resulting Numbers: [57]
57,58 unequal: No Solution
Exploring Operation: 57+1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[15, 63, 57, 78], Operations: []
Exploring Operation: 78-15=63, Resulting Numbers: [63, 57, 63]
Generated Node #0,2: 58:[63, 57, 63] Operation: 78-15=63
Moving to Node #0,2
Current State: 58:[63, 57, 63], Operations: ['78-15=63']
Exploring Operation: 63/63=1, Resulting Numbers: [57, 1]
Generated Node #0,2,0: 58:[57, 1] Operation: 63/63=1
Moving to Node #0,2,0
Current State: 58:[57, 1], Operations: ['78-15=63', '63/63=1']
Exploring Operation: 57+1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
73,
48,
45,
27
] | 15 | [
"73-48=25",
"27*25=675",
"675/45=15"
] | Current State: 15:[73, 48, 45, 27], Operations: []
Exploring Operation: 73-48=25, Resulting Numbers: [45, 27, 25]
Generated Node #2: [45, 27, 25] from Operation: 73-48=25
Current State: 15:[45, 27, 25], Operations: ['73-48=25']
Exploring Operation: 27*25=675, Resulting Numbers: [45, 675]
Generated Node #3: [45, 675] from Operation: 27*25=675
Current State: 15:[45, 675], Operations: ['73-48=25', '27*25=675']
Exploring Operation: 675/45=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[73, 48, 45, 27], Operations: []
Exploring Operation: 48-45=3, Resulting Numbers: [73, 27, 3]
Generated Node #0,0: 15:[73, 27, 3] Operation: 48-45=3
Exploring Operation: 73-45=28, Resulting Numbers: [48, 27, 28]
Generated Node #0,1: 15:[48, 27, 28] Operation: 73-45=28
Exploring Operation: 73-48=25, Resulting Numbers: [45, 27, 25]
Generated Node #0,2: 15:[45, 27, 25] Operation: 73-48=25
Start Sub Search at level 1: Moving to Node #0,2
Current State: 15:[45, 27, 25], Operations: ['73-48=25']
Exploring Operation: 45-27=18, Resulting Numbers: [25, 18]
Generated Node #0,2,0: 15:[25, 18] Operation: 45-27=18
Exploring Operation: 45-25=20, Resulting Numbers: [27, 20]
Generated Node #0,2,1: 15:[27, 20] Operation: 45-25=20
Exploring Operation: 27-25=2, Resulting Numbers: [45, 2]
Generated Node #0,2,2: 15:[45, 2] Operation: 27-25=2
Moving to Node #0,2,0
Current State: 15:[25, 18], Operations: ['73-48=25', '45-27=18']
Exploring Operation: 25*18=450, Resulting Numbers: [450]
450,15 unequal: No Solution
Exploring Operation: 25+18=43, Resulting Numbers: [43]
43,15 unequal: No Solution
Exploring Operation: 25-18=7, Resulting Numbers: [7]
7,15 unequal: No Solution
Moving to Node #0,2,1
Current State: 15:[27, 20], Operations: ['73-48=25', '45-25=20']
Exploring Operation: 27*20=540, Resulting Numbers: [540]
540,15 unequal: No Solution
Exploring Operation: 27+20=47, Resulting Numbers: [47]
47,15 unequal: No Solution
Exploring Operation: 27-20=7, Resulting Numbers: [7]
7,15 unequal: No Solution
Moving to Node #0,2,2
Current State: 15:[45, 2], Operations: ['73-48=25', '27-25=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,15 unequal: No Solution
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,15 unequal: No Solution
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[48, 27, 28], Operations: ['73-45=28']
Exploring Operation: 48-28=20, Resulting Numbers: [27, 20]
Generated Node #0,1,0: 15:[27, 20] Operation: 48-28=20
Exploring Operation: 48-27=21, Resulting Numbers: [28, 21]
Generated Node #0,1,1: 15:[28, 21] Operation: 48-27=21
Exploring Operation: 28-27=1, Resulting Numbers: [48, 1]
Generated Node #0,1,2: 15:[48, 1] Operation: 28-27=1
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 15:[27, 20], Operations: ['73-45=28', '48-28=20']
Exploring Operation: 27*20=540, Resulting Numbers: [540]
540,15 unequal: No Solution
Exploring Operation: 27+20=47, Resulting Numbers: [47]
47,15 unequal: No Solution
Exploring Operation: 27-20=7, Resulting Numbers: [7]
7,15 unequal: No Solution
No 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: 15:[28, 21], Operations: ['73-45=28', '48-27=21']
Exploring Operation: 28+21=49, Resulting Numbers: [49]
49,15 unequal: No Solution
Exploring Operation: 28-21=7, Resulting Numbers: [7]
7,15 unequal: No Solution
Exploring Operation: 28*21=588, Resulting Numbers: [588]
588,15 unequal: No Solution
No 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: 15:[48, 1], Operations: ['73-45=28', '28-27=1']
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,15 unequal: No Solution
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,15 unequal: No Solution
Exploring Operation: 48/1=48, Resulting Numbers: [48]
48,15 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: 15:[73, 27, 3], Operations: ['48-45=3']
Exploring Operation: 73-3=70, Resulting Numbers: [27, 70]
Generated Node #0,0,0: 15:[27, 70] Operation: 73-3=70
Exploring Operation: 73-27=46, Resulting Numbers: [3, 46]
Generated Node #0,0,1: 15:[3, 46] Operation: 73-27=46
Exploring Operation: 27/3=9, Resulting Numbers: [73, 9]
Generated Node #0,0,2: 15:[73, 9] Operation: 27/3=9
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 15:[3, 46], Operations: ['48-45=3', '73-27=46']
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,15 unequal: No Solution
Exploring Operation: 3*46=138, Resulting Numbers: [138]
138,15 unequal: No Solution
Exploring Operation: 3+46=49, Resulting Numbers: [49]
49,15 unequal: No Solution
No 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: 15:[73, 9], Operations: ['48-45=3', '27/3=9']
Exploring Operation: 73-9=64, Resulting Numbers: [64]
64,15 unequal: No Solution
Exploring Operation: 73+9=82, Resulting Numbers: [82]
82,15 unequal: No Solution
Exploring Operation: 73*9=657, Resulting Numbers: [657]
657,15 unequal: No Solution
No 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: 15:[27, 70], Operations: ['48-45=3', '73-3=70']
Exploring Operation: 27*70=1890, Resulting Numbers: [1890]
1890,15 unequal: No Solution
Exploring Operation: 70-27=43, Resulting Numbers: [43]
43,15 unequal: No Solution
Exploring Operation: 27+70=97, Resulting Numbers: [97]
97,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
63,
72,
81,
36
] | 75 | [
"63-36=27",
"81/27=3",
"72+3=75"
] | Current State: 75:[63, 72, 81, 36], Operations: []
Exploring Operation: 63-36=27, Resulting Numbers: [72, 81, 27]
Generated Node #2: [72, 81, 27] from Operation: 63-36=27
Current State: 75:[72, 81, 27], Operations: ['63-36=27']
Exploring Operation: 81/27=3, Resulting Numbers: [72, 3]
Generated Node #3: [72, 3] from Operation: 81/27=3
Current State: 75:[72, 3], Operations: ['63-36=27', '81/27=3']
Exploring Operation: 72+3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[63, 72, 81, 36], Operations: []
Exploring Operation: 63-36=27, Resulting Numbers: [72, 81, 27]
Generated Node #0,0: 75:[72, 81, 27] Operation: 63-36=27
Exploring Operation: 72/36=2, Resulting Numbers: [63, 81, 2]
Generated Node #0,1: 75:[63, 81, 2] Operation: 72/36=2
Exploring Operation: 72-63=9, Resulting Numbers: [81, 36, 9]
Generated Node #0,2: 75:[81, 36, 9] Operation: 72-63=9
Exploring Operation: 81-63=18, Resulting Numbers: [72, 36, 18]
Generated Node #0,3: 75:[72, 36, 18] Operation: 81-63=18
Moving to Node #0,0
Current State: 75:[72, 81, 27], Operations: ['63-36=27']
Exploring Operation: 81-27=54, Resulting Numbers: [72, 54]
Generated Node #0,0,0: 75:[72, 54] Operation: 81-27=54
Exploring Operation: 81/27=3, Resulting Numbers: [72, 3]
Generated Node #0,0,1: 75:[72, 3] Operation: 81/27=3
Exploring Operation: 72-27=45, Resulting Numbers: [81, 45]
Generated Node #0,0,2: 75:[81, 45] Operation: 72-27=45
Exploring Operation: 81-72=9, Resulting Numbers: [27, 9]
Generated Node #0,0,3: 75:[27, 9] Operation: 81-72=9
Moving to Node #0,3
Current State: 75:[72, 36, 18], Operations: ['81-63=18']
Exploring Operation: 72/18=4, Resulting Numbers: [36, 4]
Generated Node #0,3,0: 75:[36, 4] Operation: 72/18=4
Exploring Operation: 36-18=18, Resulting Numbers: [72, 18]
Generated Node #0,3,1: 75:[72, 18] Operation: 36-18=18
Exploring Operation: 72/36=2, Resulting Numbers: [18, 2]
Generated Node #0,3,2: 75:[18, 2] Operation: 72/36=2
Exploring Operation: 36/18=2, Resulting Numbers: [72, 2]
Generated Node #0,3,3: 75:[72, 2] Operation: 36/18=2
Moving to Node #0,1
Current State: 75:[63, 81, 2], Operations: ['72/36=2']
Exploring Operation: 63+2=65, Resulting Numbers: [81, 65]
Generated Node #0,1,0: 75:[81, 65] Operation: 63+2=65
Exploring Operation: 63-2=61, Resulting Numbers: [81, 61]
Generated Node #0,1,1: 75:[81, 61] Operation: 63-2=61
Exploring Operation: 81-63=18, Resulting Numbers: [2, 18]
Generated Node #0,1,2: 75:[2, 18] Operation: 81-63=18
Exploring Operation: 81-2=79, Resulting Numbers: [63, 79]
Generated Node #0,1,3: 75:[63, 79] Operation: 81-2=79
Moving to Node #0,2
Current State: 75:[81, 36, 9], Operations: ['72-63=9']
Exploring Operation: 81/9=9, Resulting Numbers: [36, 9]
Generated Node #0,2,0: 75:[36, 9] Operation: 81/9=9
Exploring Operation: 36-9=27, Resulting Numbers: [81, 27]
Generated Node #0,2,1: 75:[81, 27] Operation: 36-9=27
Exploring Operation: 36/9=4, Resulting Numbers: [81, 4]
Generated Node #0,2,2: 75:[81, 4] Operation: 36/9=4
Exploring Operation: 81-9=72, Resulting Numbers: [36, 72]
Generated Node #0,2,3: 75:[36, 72] Operation: 81-9=72
Moving to Node #0,0,1
Current State: 75:[72, 3], Operations: ['63-36=27', '81/27=3']
Exploring Operation: 72*3=216, Resulting Numbers: [216]
216,75 unequal: No Solution
Exploring Operation: 72-3=69, Resulting Numbers: [69]
69,75 unequal: No Solution
Exploring Operation: 72+3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[63, 72, 81, 36], Operations: []
Exploring Operation: 63-36=27, Resulting Numbers: [72, 81, 27]
Generated Node #0,0: 75:[72, 81, 27] Operation: 63-36=27
Moving to Node #0,0
Current State: 75:[72, 81, 27], Operations: ['63-36=27']
Exploring Operation: 81/27=3, Resulting Numbers: [72, 3]
Generated Node #0,0,1: 75:[72, 3] Operation: 81/27=3
Moving to Node #0,0,1
Current State: 75:[72, 3], Operations: ['63-36=27', '81/27=3']
Exploring Operation: 72+3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 0.976563 | hs_4 | mult_heuristic |
[
3,
53,
39,
35
] | 85 | [
"3*53=159",
"39+35=74",
"159-74=85"
] | Current State: 85:[3, 53, 39, 35], Operations: []
Exploring Operation: 3*53=159, Resulting Numbers: [39, 35, 159]
Generated Node #2: [39, 35, 159] from Operation: 3*53=159
Current State: 85:[39, 35, 159], Operations: ['3*53=159']
Exploring Operation: 39+35=74, Resulting Numbers: [159, 74]
Generated Node #3: [159, 74] from Operation: 39+35=74
Current State: 85:[159, 74], Operations: ['3*53=159', '39+35=74']
Exploring Operation: 159-74=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[3, 53, 39, 35], Operations: []
Exploring Operation: 53-39=14, Resulting Numbers: [3, 35, 14]
Generated Node #0,0: 85:[3, 35, 14] Operation: 53-39=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[3, 35, 14], Operations: ['53-39=14']
Exploring Operation: 35-14=21, Resulting Numbers: [3, 21]
Generated Node #0,0,0: 85:[3, 21] Operation: 35-14=21
Moving to Node #0,0,0
Current State: 85:[3, 21], Operations: ['53-39=14', '35-14=21']
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
16,
64,
45,
61
] | 31 | [
"64-61=3",
"45/3=15",
"16+15=31"
] | Current State: 31:[16, 64, 45, 61], Operations: []
Exploring Operation: 64-61=3, Resulting Numbers: [16, 45, 3]
Generated Node #2: [16, 45, 3] from Operation: 64-61=3
Current State: 31:[16, 45, 3], Operations: ['64-61=3']
Exploring Operation: 45/3=15, Resulting Numbers: [16, 15]
Generated Node #3: [16, 15] from Operation: 45/3=15
Current State: 31:[16, 15], Operations: ['64-61=3', '45/3=15']
Exploring Operation: 16+15=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[16, 64, 45, 61], Operations: []
Exploring Operation: 64-45=19, Resulting Numbers: [16, 61, 19]
Generated Node #0,0: 31:[16, 61, 19] Operation: 64-45=19
Exploring Operation: 64-61=3, Resulting Numbers: [16, 45, 3]
Generated Node #0,1: 31:[16, 45, 3] Operation: 64-61=3
Exploring Operation: 64-16=48, Resulting Numbers: [45, 61, 48]
Generated Node #0,2: 31:[45, 61, 48] Operation: 64-16=48
Exploring Operation: 61-16=45, Resulting Numbers: [64, 45, 45]
Generated Node #0,3: 31:[64, 45, 45] Operation: 61-16=45
Exploring Operation: 61-45=16, Resulting Numbers: [16, 64, 16]
Generated Node #0,4: 31:[16, 64, 16] Operation: 61-45=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[16, 61, 19], Operations: ['64-45=19']
Exploring Operation: 19-16=3, Resulting Numbers: [61, 3]
Generated Node #0,0,0: 31:[61, 3] Operation: 19-16=3
Exploring Operation: 61-19=42, Resulting Numbers: [16, 42]
Generated Node #0,0,1: 31:[16, 42] Operation: 61-19=42
Exploring Operation: 16+61=77, Resulting Numbers: [19, 77]
Generated Node #0,0,2: 31:[19, 77] Operation: 16+61=77
Exploring Operation: 16+19=35, Resulting Numbers: [61, 35]
Generated Node #0,0,3: 31:[61, 35] Operation: 16+19=35
Exploring Operation: 61-16=45, Resulting Numbers: [19, 45]
Generated Node #0,0,4: 31:[19, 45] Operation: 61-16=45
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 31:[16, 42], Operations: ['64-45=19', '61-19=42']
Exploring Operation: 42-16=26, Resulting Numbers: [26]
26,31 unequal: No Solution
Exploring Operation: 16*42=672, Resulting Numbers: [672]
672,31 unequal: No Solution
Exploring Operation: 16+42=58, Resulting Numbers: [58]
58,31 unequal: No Solution
No 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: 31:[19, 45], Operations: ['64-45=19', '61-16=45']
Exploring Operation: 19*45=855, Resulting Numbers: [855]
855,31 unequal: No Solution
Exploring Operation: 19+45=64, Resulting Numbers: [64]
64,31 unequal: No Solution
Exploring Operation: 45-19=26, Resulting Numbers: [26]
26,31 unequal: No Solution
No 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: 31:[61, 35], Operations: ['64-45=19', '16+19=35']
Exploring Operation: 61-35=26, Resulting Numbers: [26]
26,31 unequal: No Solution
Exploring Operation: 61*35=2135, Resulting Numbers: [2135]
2135,31 unequal: No Solution
Exploring Operation: 61+35=96, Resulting Numbers: [96]
96,31 unequal: No Solution
No 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: 31:[61, 3], Operations: ['64-45=19', '19-16=3']
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,31 unequal: No Solution
Exploring Operation: 61+3=64, Resulting Numbers: [64]
64,31 unequal: No Solution
Exploring Operation: 61*3=183, Resulting Numbers: [183]
183,31 unequal: No Solution
No 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: 31:[19, 77], Operations: ['64-45=19', '16+61=77']
Exploring Operation: 19*77=1463, Resulting Numbers: [1463]
1463,31 unequal: No Solution
Exploring Operation: 19+77=96, Resulting Numbers: [96]
96,31 unequal: No Solution
Exploring Operation: 77-19=58, Resulting Numbers: [58]
58,31 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: 31:[16, 45, 3], Operations: ['64-61=3']
Exploring Operation: 45-16=29, Resulting Numbers: [3, 29]
Generated Node #0,1,0: 31:[3, 29] Operation: 45-16=29
Exploring Operation: 16+3=19, Resulting Numbers: [45, 19]
Generated Node #0,1,1: 31:[45, 19] Operation: 16+3=19
Exploring Operation: 16*3=48, Resulting Numbers: [45, 48]
Generated Node #0,1,2: 31:[45, 48] Operation: 16*3=48
Exploring Operation: 45/3=15, Resulting Numbers: [16, 15]
Generated Node #0,1,3: 31:[16, 15] Operation: 45/3=15
Exploring Operation: 45-3=42, Resulting Numbers: [16, 42]
Generated Node #0,1,4: 31:[16, 42] Operation: 45-3=42
Moving to Node #0,1,1
Current State: 31:[45, 19], Operations: ['64-61=3', '16+3=19']
Exploring Operation: 45-19=26, Resulting Numbers: [26]
26,31 unequal: No Solution
Exploring Operation: 45+19=64, Resulting Numbers: [64]
64,31 unequal: No Solution
Exploring Operation: 45*19=855, Resulting Numbers: [855]
855,31 unequal: No Solution
Moving to Node #0,1,4
Current State: 31:[16, 42], Operations: ['64-61=3', '45-3=42']
Exploring Operation: 16*42=672, Resulting Numbers: [672]
672,31 unequal: No Solution
Exploring Operation: 42-16=26, Resulting Numbers: [26]
26,31 unequal: No Solution
Exploring Operation: 16+42=58, Resulting Numbers: [58]
58,31 unequal: No Solution
Moving to Node #0,1,0
Current State: 31:[3, 29], Operations: ['64-61=3', '45-16=29']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,31 unequal: No Solution
Exploring Operation: 3+29=32, Resulting Numbers: [32]
32,31 unequal: No Solution
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,31 unequal: No Solution
Moving to Node #0,1,2
Current State: 31:[45, 48], Operations: ['64-61=3', '16*3=48']
Exploring Operation: 45+48=93, Resulting Numbers: [93]
93,31 unequal: No Solution
Exploring Operation: 45*48=2160, Resulting Numbers: [2160]
2160,31 unequal: No Solution
Exploring Operation: 48-45=3, Resulting Numbers: [3]
3,31 unequal: No Solution
Moving to Node #0,1,3
Current State: 31:[16, 15], Operations: ['64-61=3', '45/3=15']
Exploring Operation: 16+15=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[16, 64, 45, 61], Operations: []
Exploring Operation: 64-61=3, Resulting Numbers: [16, 45, 3]
Generated Node #0,1: 31:[16, 45, 3] Operation: 64-61=3
Moving to Node #0,1
Current State: 31:[16, 45, 3], Operations: ['64-61=3']
Exploring Operation: 45/3=15, Resulting Numbers: [16, 15]
Generated Node #0,1,3: 31:[16, 15] Operation: 45/3=15
Moving to Node #0,1,3
Current State: 31:[16, 15], Operations: ['64-61=3', '45/3=15']
Exploring Operation: 16+15=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.959201 | hs_5 | mult_heuristic |
[
10,
17,
91,
25
] | 73 | [
"17-10=7",
"91-25=66",
"7+66=73"
] | Current State: 73:[10, 17, 91, 25], Operations: []
Exploring Operation: 17-10=7, Resulting Numbers: [91, 25, 7]
Generated Node #2: [91, 25, 7] from Operation: 17-10=7
Current State: 73:[91, 25, 7], Operations: ['17-10=7']
Exploring Operation: 91-25=66, Resulting Numbers: [7, 66]
Generated Node #3: [7, 66] from Operation: 91-25=66
Current State: 73:[7, 66], Operations: ['17-10=7', '91-25=66']
Exploring Operation: 7+66=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[10, 17, 91, 25], Operations: []
Exploring Operation: 10+17=27, Resulting Numbers: [91, 25, 27]
Generated Node #0,0: 73:[91, 25, 27] Operation: 10+17=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[91, 25, 27], Operations: ['10+17=27']
Exploring Operation: 25+27=52, Resulting Numbers: [91, 52]
Generated Node #0,0,0: 73:[91, 52] Operation: 25+27=52
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 73:[91, 52], Operations: ['10+17=27', '25+27=52']
Exploring Operation: 91-52=39, Resulting Numbers: [39]
39,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
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