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 |
|---|---|---|---|---|---|---|---|---|
[
27,
56,
22,
81
] | 24
|
[
"27+56=83",
"81-22=59",
"83-59=24"
] |
Current State: 24:[27, 56, 22, 81], Operations: []
Exploring Operation: 27+56=83, Resulting Numbers: [22, 81, 83]
Generated Node #2: [22, 81, 83] from Operation: 27+56=83
Current State: 24:[22, 81, 83], Operations: ['27+56=83']
Exploring Operation: 81-22=59, Resulting Numbers: [83, 59]
Generated Node #3: [83, 59] from Operation: 81-22=59
Current State: 24:[83, 59], Operations: ['27+56=83', '81-22=59']
Exploring Operation: 83-59=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4
|
Current State: 24:[27, 56, 22, 81], Operations: []
Exploring Operation: 81-56=25, Resulting Numbers: [27, 22, 25]
Generated Node #0,0: 24:[27, 22, 25] Operation: 81-56=25
Exploring Operation: 81/27=3, Resulting Numbers: [56, 22, 3]
Generated Node #0,1: 24:[56, 22, 3] Operation: 81/27=3
Exploring Operation: 56-27=29, Resulting Numbers: [22, 81, 29]
Generated Node #0,2: 24:[22, 81, 29] Operation: 56-27=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[27, 22, 25], Operations: ['81-56=25']
Exploring Operation: 27-25=2, Resulting Numbers: [22, 2]
Generated Node #0,0,0: 24:[22, 2] Operation: 27-25=2
Exploring Operation: 27-22=5, Resulting Numbers: [25, 5]
Generated Node #0,0,1: 24:[25, 5] Operation: 27-22=5
Exploring Operation: 25-22=3, Resulting Numbers: [27, 3]
Generated Node #0,0,2: 24:[27, 3] Operation: 25-22=3
Moving to Node #0,0,0
Current State: 24:[22, 2], Operations: ['81-56=25', '27-25=2']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,24 unequal: No Solution
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[27, 56, 22, 81], Operations: []
Exploring Operation: 81-56=25, Resulting Numbers: [27, 22, 25]
Generated Node #0,0: 24:[27, 22, 25] Operation: 81-56=25
Moving to Node #0,0
Current State: 24:[27, 22, 25], Operations: ['81-56=25']
Exploring Operation: 27-25=2, Resulting Numbers: [22, 2]
Generated Node #0,0,0: 24:[22, 2] Operation: 27-25=2
Moving to Node #0,0,0
Current State: 24:[22, 2], Operations: ['81-56=25', '27-25=2']
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583
|
hs_3
|
sum_heuristic
|
[
88,
1,
2,
59
] | 74
|
[
"88+1=89",
"59+89=148",
"148/2=74"
] |
Current State: 74:[88, 1, 2, 59], Operations: []
Exploring Operation: 88+1=89, Resulting Numbers: [2, 59, 89]
Generated Node #2: [2, 59, 89] from Operation: 88+1=89
Current State: 74:[2, 59, 89], Operations: ['88+1=89']
Exploring Operation: 59+89=148, Resulting Numbers: [2, 148]
Generated Node #3: [2, 148] from Operation: 59+89=148
Current State: 74:[2, 148], Operations: ['88+1=89', '59+89=148']
Exploring Operation: 148/2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4
|
Current State: 74:[88, 1, 2, 59], Operations: []
Exploring Operation: 88-59=29, Resulting Numbers: [1, 2, 29]
Generated Node #0,0: 74:[1, 2, 29] Operation: 88-59=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[1, 2, 29], Operations: ['88-59=29']
Exploring Operation: 1+29=30, Resulting Numbers: [2, 30]
Generated Node #0,0,0: 74:[2, 30] Operation: 1+29=30
Moving to Node #0,0,0
Current State: 74:[2, 30], Operations: ['88-59=29', '1+29=30']
Exploring Operation: 2+30=32, Resulting Numbers: [32]
32,74 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
|
[
36,
47,
44,
68
] | 13
|
[
"47-36=11",
"68-44=24",
"24-11=13"
] |
Current State: 13:[36, 47, 44, 68], Operations: []
Exploring Operation: 47-36=11, Resulting Numbers: [44, 68, 11]
Generated Node #2: [44, 68, 11] from Operation: 47-36=11
Current State: 13:[44, 68, 11], Operations: ['47-36=11']
Exploring Operation: 68-44=24, Resulting Numbers: [11, 24]
Generated Node #3: [11, 24] from Operation: 68-44=24
Current State: 13:[11, 24], Operations: ['47-36=11', '68-44=24']
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4
|
Current State: 13:[36, 47, 44, 68], Operations: []
Exploring Operation: 68-36=32, Resulting Numbers: [47, 44, 32]
Generated Node #0,0: 13:[47, 44, 32] Operation: 68-36=32
Exploring Operation: 68-47=21, Resulting Numbers: [36, 44, 21]
Generated Node #0,1: 13:[36, 44, 21] Operation: 68-47=21
Exploring Operation: 68-44=24, Resulting Numbers: [36, 47, 24]
Generated Node #0,2: 13:[36, 47, 24] Operation: 68-44=24
Start Sub Search at level 1: Moving to Node #0,1
Current State: 13:[36, 44, 21], Operations: ['68-47=21']
Exploring Operation: 36-21=15, Resulting Numbers: [44, 15]
Generated Node #0,1,0: 13:[44, 15] Operation: 36-21=15
Exploring Operation: 44-21=23, Resulting Numbers: [36, 23]
Generated Node #0,1,1: 13:[36, 23] Operation: 44-21=23
Exploring Operation: 44-36=8, Resulting Numbers: [21, 8]
Generated Node #0,1,2: 13:[21, 8] Operation: 44-36=8
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 13:[21, 8], Operations: ['68-47=21', '44-36=8']
Exploring Operation: 21*8=168, Resulting Numbers: [168]
168,13 unequal: No Solution
Exploring Operation: 21+8=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[36, 47, 44, 68], Operations: []
Exploring Operation: 68-47=21, Resulting Numbers: [36, 44, 21]
Generated Node #0,1: 13:[36, 44, 21] Operation: 68-47=21
Moving to Node #0,1
Current State: 13:[36, 44, 21], Operations: ['68-47=21']
Exploring Operation: 44-36=8, Resulting Numbers: [21, 8]
Generated Node #0,1,2: 13:[21, 8] Operation: 44-36=8
Moving to Node #0,1,2
Current State: 13:[21, 8], Operations: ['68-47=21', '44-36=8']
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715
|
hs_3
|
sum_heuristic
|
[
58,
98,
51,
62
] | 43
|
[
"58+98=156",
"51+62=113",
"156-113=43"
] |
Current State: 43:[58, 98, 51, 62], Operations: []
Exploring Operation: 58+98=156, Resulting Numbers: [51, 62, 156]
Generated Node #2: [51, 62, 156] from Operation: 58+98=156
Current State: 43:[51, 62, 156], Operations: ['58+98=156']
Exploring Operation: 51+62=113, Resulting Numbers: [156, 113]
Generated Node #3: [156, 113] from Operation: 51+62=113
Current State: 43:[156, 113], Operations: ['58+98=156', '51+62=113']
Exploring Operation: 156-113=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4
|
Current State: 43:[58, 98, 51, 62], Operations: []
Exploring Operation: 98-51=47, Resulting Numbers: [58, 62, 47]
Generated Node #0,0: 43:[58, 62, 47] Operation: 98-51=47
Exploring Operation: 98-62=36, Resulting Numbers: [58, 51, 36]
Generated Node #0,1: 43:[58, 51, 36] Operation: 98-62=36
Exploring Operation: 98-58=40, Resulting Numbers: [51, 62, 40]
Generated Node #0,2: 43:[51, 62, 40] Operation: 98-58=40
Start Sub Search at level 1: Moving to Node #0,1
Current State: 43:[58, 51, 36], Operations: ['98-62=36']
Exploring Operation: 58-51=7, Resulting Numbers: [36, 7]
Generated Node #0,1,0: 43:[36, 7] Operation: 58-51=7
Exploring Operation: 58-36=22, Resulting Numbers: [51, 22]
Generated Node #0,1,1: 43:[51, 22] Operation: 58-36=22
Exploring Operation: 51-36=15, Resulting Numbers: [58, 15]
Generated Node #0,1,2: 43:[58, 15] Operation: 51-36=15
Moving to Node #0,1,1
Current State: 43:[51, 22], Operations: ['98-62=36', '58-36=22']
Exploring Operation: 51-22=29, Resulting Numbers: [29]
29,43 unequal: No Solution
Exploring Operation: 51*22=1122, Resulting Numbers: [1122]
1122,43 unequal: No Solution
Exploring Operation: 51+22=73, Resulting Numbers: [73]
73,43 unequal: No Solution
Moving to Node #0,1,0
Current State: 43:[36, 7], Operations: ['98-62=36', '58-51=7']
Exploring Operation: 36+7=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[58, 98, 51, 62], Operations: []
Exploring Operation: 98-62=36, Resulting Numbers: [58, 51, 36]
Generated Node #0,1: 43:[58, 51, 36] Operation: 98-62=36
Moving to Node #0,1
Current State: 43:[58, 51, 36], Operations: ['98-62=36']
Exploring Operation: 58-51=7, Resulting Numbers: [36, 7]
Generated Node #0,1,0: 43:[36, 7] Operation: 58-51=7
Moving to Node #0,1,0
Current State: 43:[36, 7], Operations: ['98-62=36', '58-51=7']
Exploring Operation: 36+7=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847
|
hs_3
|
mult_heuristic
|
[
57,
3,
12,
30
] | 12
|
[
"57-3=54",
"12+30=42",
"54-42=12"
] |
Current State: 12:[57, 3, 12, 30], Operations: []
Exploring Operation: 57-3=54, Resulting Numbers: [12, 30, 54]
Generated Node #2: [12, 30, 54] from Operation: 57-3=54
Current State: 12:[12, 30, 54], Operations: ['57-3=54']
Exploring Operation: 12+30=42, Resulting Numbers: [54, 42]
Generated Node #3: [54, 42] from Operation: 12+30=42
Current State: 12:[54, 42], Operations: ['57-3=54', '12+30=42']
Exploring Operation: 54-42=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4
|
Current State: 12:[57, 3, 12, 30], Operations: []
Exploring Operation: 57-30=27, Resulting Numbers: [3, 12, 27]
Generated Node #0,0: 12:[3, 12, 27] Operation: 57-30=27
Moving to Node #0,0
Current State: 12:[3, 12, 27], Operations: ['57-30=27']
Exploring Operation: 27/3=9, Resulting Numbers: [12, 9]
Generated Node #0,0,0: 12:[12, 9] Operation: 27/3=9
Moving to Node #0,0,0
Current State: 12:[12, 9], Operations: ['57-30=27', '27/3=9']
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,12 unequal: No Solution
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
19,
61,
80,
99
] | 100
|
[
"19+61=80",
"80/80=1",
"99+1=100"
] |
Current State: 100:[19, 61, 80, 99], Operations: []
Exploring Operation: 19+61=80, Resulting Numbers: [80, 99, 80]
Generated Node #2: [80, 99, 80] from Operation: 19+61=80
Current State: 100:[80, 99, 80], Operations: ['19+61=80']
Exploring Operation: 80/80=1, Resulting Numbers: [99, 1]
Generated Node #3: [99, 1] from Operation: 80/80=1
Current State: 100:[99, 1], Operations: ['19+61=80', '80/80=1']
Exploring Operation: 99+1=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4
|
Current State: 100:[19, 61, 80, 99], Operations: []
Exploring Operation: 80-61=19, Resulting Numbers: [19, 99, 19]
Generated Node #0,0: 100:[19, 99, 19] Operation: 80-61=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[19, 99, 19], Operations: ['80-61=19']
Exploring Operation: 19/19=1, Resulting Numbers: [99, 1]
Generated Node #0,0,0: 100:[99, 1] Operation: 19/19=1
Moving to Node #0,0,0
Current State: 100:[99, 1], Operations: ['80-61=19', '19/19=1']
Exploring Operation: 99+1=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[19, 61, 80, 99], Operations: []
Exploring Operation: 80-61=19, Resulting Numbers: [19, 99, 19]
Generated Node #0,0: 100:[19, 99, 19] Operation: 80-61=19
Moving to Node #0,0
Current State: 100:[19, 99, 19], Operations: ['80-61=19']
Exploring Operation: 19/19=1, Resulting Numbers: [99, 1]
Generated Node #0,0,0: 100:[99, 1] Operation: 19/19=1
Moving to Node #0,0,0
Current State: 100:[99, 1], Operations: ['80-61=19', '19/19=1']
Exploring Operation: 99+1=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
sum_heuristic
|
[
94,
44,
64,
42
] | 28
|
[
"94-44=50",
"64-42=22",
"50-22=28"
] |
Current State: 28:[94, 44, 64, 42], Operations: []
Exploring Operation: 94-44=50, Resulting Numbers: [64, 42, 50]
Generated Node #2: [64, 42, 50] from Operation: 94-44=50
Current State: 28:[64, 42, 50], Operations: ['94-44=50']
Exploring Operation: 64-42=22, Resulting Numbers: [50, 22]
Generated Node #3: [50, 22] from Operation: 64-42=22
Current State: 28:[50, 22], Operations: ['94-44=50', '64-42=22']
Exploring Operation: 50-22=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4
|
Current State: 28:[94, 44, 64, 42], Operations: []
Exploring Operation: 94-44=50, Resulting Numbers: [64, 42, 50]
Generated Node #0,0: 28:[64, 42, 50] Operation: 94-44=50
Exploring Operation: 94-64=30, Resulting Numbers: [44, 42, 30]
Generated Node #0,1: 28:[44, 42, 30] Operation: 94-64=30
Start Sub Search at level 1: Moving to Node #0,1
Current State: 28:[44, 42, 30], Operations: ['94-64=30']
Exploring Operation: 44-42=2, Resulting Numbers: [30, 2]
Generated Node #0,1,0: 28:[30, 2] Operation: 44-42=2
Exploring Operation: 44-30=14, Resulting Numbers: [42, 14]
Generated Node #0,1,1: 28:[42, 14] Operation: 44-30=14
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 28:[30, 2], Operations: ['94-64=30', '44-42=2']
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,28 unequal: No Solution
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[94, 44, 64, 42], Operations: []
Exploring Operation: 94-64=30, Resulting Numbers: [44, 42, 30]
Generated Node #0,1: 28:[44, 42, 30] Operation: 94-64=30
Moving to Node #0,1
Current State: 28:[44, 42, 30], Operations: ['94-64=30']
Exploring Operation: 44-42=2, Resulting Numbers: [30, 2]
Generated Node #0,1,0: 28:[30, 2] Operation: 44-42=2
Moving to Node #0,1,0
Current State: 28:[30, 2], Operations: ['94-64=30', '44-42=2']
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319
|
hs_2
|
sum_heuristic
|
[
57,
4,
16,
2
] | 50
|
[
"57*2=114",
"4*16=64",
"114-64=50"
] |
Current State: 50:[57, 4, 16, 2], Operations: []
Exploring Operation: 57*2=114, Resulting Numbers: [4, 16, 114]
Generated Node #2: [4, 16, 114] from Operation: 57*2=114
Current State: 50:[4, 16, 114], Operations: ['57*2=114']
Exploring Operation: 4*16=64, Resulting Numbers: [114, 64]
Generated Node #3: [114, 64] from Operation: 4*16=64
Current State: 50:[114, 64], Operations: ['57*2=114', '4*16=64']
Exploring Operation: 114-64=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4
|
Current State: 50:[57, 4, 16, 2], Operations: []
Exploring Operation: 57-4=53, Resulting Numbers: [16, 2, 53]
Generated Node #0,0: 50:[16, 2, 53] Operation: 57-4=53
Exploring Operation: 16/4=4, Resulting Numbers: [57, 2, 4]
Generated Node #0,1: 50:[57, 2, 4] Operation: 16/4=4
Exploring Operation: 16-4=12, Resulting Numbers: [57, 2, 12]
Generated Node #0,2: 50:[57, 2, 12] Operation: 16-4=12
Moving to Node #0,1
Current State: 50:[57, 2, 4], Operations: ['16/4=4']
Exploring Operation: 57-4=53, Resulting Numbers: [2, 53]
Generated Node #0,1,0: 50:[2, 53] Operation: 57-4=53
Exploring Operation: 57-2=55, Resulting Numbers: [4, 55]
Generated Node #0,1,1: 50:[4, 55] Operation: 57-2=55
Exploring Operation: 4-2=2, Resulting Numbers: [57, 2]
Generated Node #0,1,2: 50:[57, 2] Operation: 4-2=2
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 50:[2, 53], Operations: ['16/4=4', '57-4=53']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,50 unequal: No Solution
Exploring Operation: 2*53=106, Resulting Numbers: [106]
106,50 unequal: No Solution
Exploring Operation: 2+53=55, Resulting Numbers: [55]
55,50 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 #0,1,1
Current State: 50:[4, 55], Operations: ['16/4=4', '57-2=55']
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,50 unequal: No Solution
Exploring Operation: 4+55=59, Resulting Numbers: [59]
59,50 unequal: No Solution
Exploring Operation: 4*55=220, Resulting Numbers: [220]
220,50 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 #0,1,2
Current State: 50:[57, 2], Operations: ['16/4=4', '4-2=2']
Exploring Operation: 57*2=114, Resulting Numbers: [114]
114,50 unequal: No Solution
Exploring Operation: 57+2=59, Resulting Numbers: [59]
59,50 unequal: No Solution
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,50 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:[16, 2, 53], Operations: ['57-4=53']
Exploring Operation: 16-2=14, Resulting Numbers: [53, 14]
Generated Node #0,0,0: 50:[53, 14] Operation: 16-2=14
Exploring Operation: 53-2=51, Resulting Numbers: [16, 51]
Generated Node #0,0,1: 50:[16, 51] Operation: 53-2=51
Exploring Operation: 16/2=8, Resulting Numbers: [53, 8]
Generated Node #0,0,2: 50:[53, 8] Operation: 16/2=8
Moving to Node #0,2
Current State: 50:[57, 2, 12], Operations: ['16-4=12']
Exploring Operation: 12-2=10, Resulting Numbers: [57, 10]
Generated Node #0,2,0: 50:[57, 10] Operation: 12-2=10
Exploring Operation: 57-12=45, Resulting Numbers: [2, 45]
Generated Node #0,2,1: 50:[2, 45] Operation: 57-12=45
Exploring Operation: 57-2=55, Resulting Numbers: [12, 55]
Generated Node #0,2,2: 50:[12, 55] Operation: 57-2=55
Moving to Node #0,0,2
Current State: 50:[53, 8], Operations: ['57-4=53', '16/2=8']
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,50 unequal: No Solution
Exploring Operation: 53*8=424, Resulting Numbers: [424]
424,50 unequal: No Solution
Exploring Operation: 53+8=61, Resulting Numbers: [61]
61,50 unequal: No Solution
Moving to Node #0,2,1
Current State: 50:[2, 45], Operations: ['16-4=12', '57-12=45']
Exploring Operation: 2*45=90, Resulting Numbers: [90]
90,50 unequal: No Solution
Exploring Operation: 2+45=47, Resulting Numbers: [47]
47,50 unequal: No Solution
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[16, 51], Operations: ['57-4=53', '53-2=51']
Exploring Operation: 16+51=67, Resulting Numbers: [67]
67,50 unequal: No Solution
Exploring Operation: 51-16=35, Resulting Numbers: [35]
35,50 unequal: No Solution
Exploring Operation: 16*51=816, Resulting Numbers: [816]
816,50 unequal: No Solution
Moving to Node #0,2,2
Current State: 50:[12, 55], Operations: ['16-4=12', '57-2=55']
Exploring Operation: 12*55=660, Resulting Numbers: [660]
660,50 unequal: No Solution
Exploring Operation: 12+55=67, Resulting Numbers: [67]
67,50 unequal: No Solution
Exploring Operation: 55-12=43, Resulting Numbers: [43]
43,50 unequal: No Solution
Moving to Node #0,2,0
Current State: 50:[57, 10], Operations: ['16-4=12', '12-2=10']
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,50 unequal: No Solution
Exploring Operation: 57*10=570, Resulting Numbers: [570]
570,50 unequal: No Solution
Exploring Operation: 57+10=67, Resulting Numbers: [67]
67,50 unequal: No Solution
Moving to Node #0,0,0
Current State: 50:[53, 14], Operations: ['57-4=53', '16-2=14']
Exploring Operation: 53+14=67, Resulting Numbers: [67]
67,50 unequal: No Solution
Exploring Operation: 53*14=742, Resulting Numbers: [742]
742,50 unequal: No Solution
Exploring Operation: 53-14=39, Resulting Numbers: [39]
39,50 unequal: No Solution
No solution found.
| 0
|
hs_3
|
mult_heuristic
|
[
51,
28,
74,
35
] | 86
|
[
"51-28=23",
"74+35=109",
"109-23=86"
] |
Current State: 86:[51, 28, 74, 35], Operations: []
Exploring Operation: 51-28=23, Resulting Numbers: [74, 35, 23]
Generated Node #2: [74, 35, 23] from Operation: 51-28=23
Current State: 86:[74, 35, 23], Operations: ['51-28=23']
Exploring Operation: 74+35=109, Resulting Numbers: [23, 109]
Generated Node #3: [23, 109] from Operation: 74+35=109
Current State: 86:[23, 109], Operations: ['51-28=23', '74+35=109']
Exploring Operation: 109-23=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
Current State: 86:[51, 28, 74, 35], Operations: []
Exploring Operation: 74-35=39, Resulting Numbers: [51, 28, 39]
Generated Node #0,0: 86:[51, 28, 39] Operation: 74-35=39
Exploring Operation: 51+28=79, Resulting Numbers: [74, 35, 79]
Generated Node #0,1: 86:[74, 35, 79] Operation: 51+28=79
Exploring Operation: 35-28=7, Resulting Numbers: [51, 74, 7]
Generated Node #0,2: 86:[51, 74, 7] Operation: 35-28=7
Exploring Operation: 51+35=86, Resulting Numbers: [28, 74, 86]
Generated Node #0,3: 86:[28, 74, 86] Operation: 51+35=86
Exploring Operation: 74-28=46, Resulting Numbers: [51, 35, 46]
Generated Node #0,4: 86:[51, 35, 46] Operation: 74-28=46
Start Sub Search at level 1: Moving to Node #0,4
Current State: 86:[51, 35, 46], Operations: ['74-28=46']
Exploring Operation: 51+35=86, Resulting Numbers: [46, 86]
Generated Node #0,4,0: 86:[46, 86] Operation: 51+35=86
Exploring Operation: 35+46=81, Resulting Numbers: [51, 81]
Generated Node #0,4,1: 86:[51, 81] Operation: 35+46=81
Exploring Operation: 46-35=11, Resulting Numbers: [51, 11]
Generated Node #0,4,2: 86:[51, 11] Operation: 46-35=11
Exploring Operation: 51-46=5, Resulting Numbers: [35, 5]
Generated Node #0,4,3: 86:[35, 5] Operation: 51-46=5
Exploring Operation: 51-35=16, Resulting Numbers: [46, 16]
Generated Node #0,4,4: 86:[46, 16] Operation: 51-35=16
Moving to Node #0,4,0
Current State: 86:[46, 86], Operations: ['74-28=46', '51+35=86']
Exploring Operation: 46*86=3956, Resulting Numbers: [3956]
3956,86 unequal: No Solution
Exploring Operation: 86-46=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Exploring Operation: 46+86=132, Resulting Numbers: [132]
132,86 unequal: No Solution
Moving to Node #0,4,3
Current State: 86:[35, 5], Operations: ['74-28=46', '51-46=5']
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,86 unequal: No Solution
Exploring Operation: 35+5=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,86 unequal: No Solution
Exploring Operation: 35*5=175, Resulting Numbers: [175]
175,86 unequal: No Solution
Moving to Node #0,4,1
Current State: 86:[51, 81], Operations: ['74-28=46', '35+46=81']
Exploring Operation: 51*81=4131, Resulting Numbers: [4131]
4131,86 unequal: No Solution
Exploring Operation: 51+81=132, Resulting Numbers: [132]
132,86 unequal: No Solution
Exploring Operation: 81-51=30, Resulting Numbers: [30]
30,86 unequal: No Solution
Moving to Node #0,4,2
Current State: 86:[51, 11], Operations: ['74-28=46', '46-35=11']
Exploring Operation: 51+11=62, Resulting Numbers: [62]
62,86 unequal: No Solution
Exploring Operation: 51-11=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Exploring Operation: 51*11=561, Resulting Numbers: [561]
561,86 unequal: No Solution
Moving to Node #0,4,4
Current State: 86:[46, 16], Operations: ['74-28=46', '51-35=16']
Exploring Operation: 46+16=62, Resulting Numbers: [62]
62,86 unequal: No Solution
Exploring Operation: 46*16=736, Resulting Numbers: [736]
736,86 unequal: No Solution
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 86:[51, 74, 7], Operations: ['35-28=7']
Exploring Operation: 74+7=81, Resulting Numbers: [51, 81]
Generated Node #0,2,0: 86:[51, 81] Operation: 74+7=81
Exploring Operation: 74-7=67, Resulting Numbers: [51, 67]
Generated Node #0,2,1: 86:[51, 67] Operation: 74-7=67
Exploring Operation: 51-7=44, Resulting Numbers: [74, 44]
Generated Node #0,2,2: 86:[74, 44] Operation: 51-7=44
Exploring Operation: 74-51=23, Resulting Numbers: [7, 23]
Generated Node #0,2,3: 86:[7, 23] Operation: 74-51=23
Exploring Operation: 51+7=58, Resulting Numbers: [74, 58]
Generated Node #0,2,4: 86:[74, 58] Operation: 51+7=58
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 86:[51, 81], Operations: ['35-28=7', '74+7=81']
Exploring Operation: 51*81=4131, Resulting Numbers: [4131]
4131,86 unequal: No Solution
Exploring Operation: 51+81=132, Resulting Numbers: [132]
132,86 unequal: No Solution
Exploring Operation: 81-51=30, Resulting Numbers: [30]
30,86 unequal: No Solution
No 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: 86:[74, 44], Operations: ['35-28=7', '51-7=44']
Exploring Operation: 74*44=3256, Resulting Numbers: [3256]
3256,86 unequal: No Solution
Exploring Operation: 74+44=118, Resulting Numbers: [118]
118,86 unequal: No Solution
Exploring Operation: 74-44=30, Resulting Numbers: [30]
30,86 unequal: No Solution
No 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: 86:[7, 23], Operations: ['35-28=7', '74-51=23']
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,86 unequal: No Solution
Exploring Operation: 7*23=161, Resulting Numbers: [161]
161,86 unequal: No Solution
Exploring Operation: 7+23=30, Resulting Numbers: [30]
30,86 unequal: No Solution
No 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: 86:[51, 67], Operations: ['35-28=7', '74-7=67']
Exploring Operation: 67-51=16, Resulting Numbers: [16]
16,86 unequal: No Solution
Exploring Operation: 51+67=118, Resulting Numbers: [118]
118,86 unequal: No Solution
Exploring Operation: 51*67=3417, Resulting Numbers: [3417]
3417,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 86:[74, 58], Operations: ['35-28=7', '51+7=58']
Exploring Operation: 74*58=4292, Resulting Numbers: [4292]
4292,86 unequal: No Solution
Exploring Operation: 74-58=16, Resulting Numbers: [16]
16,86 unequal: No Solution
Exploring Operation: 74+58=132, Resulting Numbers: [132]
132,86 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: 86:[51, 28, 39], Operations: ['74-35=39']
Exploring Operation: 39-28=11, Resulting Numbers: [51, 11]
Generated Node #0,0,0: 86:[51, 11] Operation: 39-28=11
Exploring Operation: 51+39=90, Resulting Numbers: [28, 90]
Generated Node #0,0,1: 86:[28, 90] Operation: 51+39=90
Exploring Operation: 51-28=23, Resulting Numbers: [39, 23]
Generated Node #0,0,2: 86:[39, 23] Operation: 51-28=23
Exploring Operation: 51-39=12, Resulting Numbers: [28, 12]
Generated Node #0,0,3: 86:[28, 12] Operation: 51-39=12
Exploring Operation: 51+28=79, Resulting Numbers: [39, 79]
Generated Node #0,0,4: 86:[39, 79] Operation: 51+28=79
Moving to Node #0,0,4
Current State: 86:[39, 79], Operations: ['74-35=39', '51+28=79']
Exploring Operation: 39+79=118, Resulting Numbers: [118]
118,86 unequal: No Solution
Exploring Operation: 79-39=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Exploring Operation: 39*79=3081, Resulting Numbers: [3081]
3081,86 unequal: No Solution
Moving to Node #0,0,0
Current State: 86:[51, 11], Operations: ['74-35=39', '39-28=11']
Exploring Operation: 51+11=62, Resulting Numbers: [62]
62,86 unequal: No Solution
Exploring Operation: 51*11=561, Resulting Numbers: [561]
561,86 unequal: No Solution
Exploring Operation: 51-11=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Moving to Node #0,0,1
Current State: 86:[28, 90], Operations: ['74-35=39', '51+39=90']
Exploring Operation: 28+90=118, Resulting Numbers: [118]
118,86 unequal: No Solution
Exploring Operation: 90-28=62, Resulting Numbers: [62]
62,86 unequal: No Solution
Exploring Operation: 28*90=2520, Resulting Numbers: [2520]
2520,86 unequal: No Solution
Moving to Node #0,0,2
Current State: 86:[39, 23], Operations: ['74-35=39', '51-28=23']
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,86 unequal: No Solution
Exploring Operation: 39+23=62, Resulting Numbers: [62]
62,86 unequal: No Solution
Exploring Operation: 39*23=897, Resulting Numbers: [897]
897,86 unequal: No Solution
Moving to Node #0,0,3
Current State: 86:[28, 12], Operations: ['74-35=39', '51-39=12']
Exploring Operation: 28*12=336, Resulting Numbers: [336]
336,86 unequal: No Solution
Exploring Operation: 28+12=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Exploring Operation: 28-12=16, Resulting Numbers: [16]
16,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[74, 35, 79], Operations: ['51+28=79']
Exploring Operation: 74+35=109, Resulting Numbers: [79, 109]
Generated Node #0,1,0: 86:[79, 109] Operation: 74+35=109
Exploring Operation: 35+79=114, Resulting Numbers: [74, 114]
Generated Node #0,1,1: 86:[74, 114] Operation: 35+79=114
Exploring Operation: 74-35=39, Resulting Numbers: [79, 39]
Generated Node #0,1,2: 86:[79, 39] Operation: 74-35=39
Exploring Operation: 79-74=5, Resulting Numbers: [35, 5]
Generated Node #0,1,3: 86:[35, 5] Operation: 79-74=5
Exploring Operation: 79-35=44, Resulting Numbers: [74, 44]
Generated Node #0,1,4: 86:[74, 44] Operation: 79-35=44
Moving to Node #0,1,2
Current State: 86:[79, 39], Operations: ['51+28=79', '74-35=39']
Exploring Operation: 79+39=118, Resulting Numbers: [118]
118,86 unequal: No Solution
Exploring Operation: 79-39=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Exploring Operation: 79*39=3081, Resulting Numbers: [3081]
3081,86 unequal: No Solution
Moving to Node #0,1,3
Current State: 86:[35, 5], Operations: ['51+28=79', '79-74=5']
Exploring Operation: 35+5=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Exploring Operation: 35*5=175, Resulting Numbers: [175]
175,86 unequal: No Solution
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,86 unequal: No Solution
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,86 unequal: No Solution
Moving to Node #0,1,4
Current State: 86:[74, 44], Operations: ['51+28=79', '79-35=44']
Exploring Operation: 74-44=30, Resulting Numbers: [30]
30,86 unequal: No Solution
Exploring Operation: 74*44=3256, Resulting Numbers: [3256]
3256,86 unequal: No Solution
Exploring Operation: 74+44=118, Resulting Numbers: [118]
118,86 unequal: No Solution
Moving to Node #0,1,0
Current State: 86:[79, 109], Operations: ['51+28=79', '74+35=109']
Exploring Operation: 79*109=8611, Resulting Numbers: [8611]
8611,86 unequal: No Solution
Exploring Operation: 79+109=188, Resulting Numbers: [188]
188,86 unequal: No Solution
Exploring Operation: 109-79=30, Resulting Numbers: [30]
30,86 unequal: No Solution
Moving to Node #0,1,1
Current State: 86:[74, 114], Operations: ['51+28=79', '35+79=114']
Exploring Operation: 74*114=8436, Resulting Numbers: [8436]
8436,86 unequal: No Solution
Exploring Operation: 114-74=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Exploring Operation: 74+114=188, Resulting Numbers: [188]
188,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 86:[28, 74, 86], Operations: ['51+35=86']
Exploring Operation: 28+86=114, Resulting Numbers: [74, 114]
Generated Node #0,3,0: 86:[74, 114] Operation: 28+86=114
Exploring Operation: 28+74=102, Resulting Numbers: [86, 102]
Generated Node #0,3,1: 86:[86, 102] Operation: 28+74=102
Exploring Operation: 86-74=12, Resulting Numbers: [28, 12]
Generated Node #0,3,2: 86:[28, 12] Operation: 86-74=12
Exploring Operation: 74-28=46, Resulting Numbers: [86, 46]
Generated Node #0,3,3: 86:[86, 46] Operation: 74-28=46
Exploring Operation: 86-28=58, Resulting Numbers: [74, 58]
Generated Node #0,3,4: 86:[74, 58] Operation: 86-28=58
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 86:[86, 46], Operations: ['51+35=86', '74-28=46']
Exploring Operation: 86+46=132, Resulting Numbers: [132]
132,86 unequal: No Solution
Exploring Operation: 86*46=3956, Resulting Numbers: [3956]
3956,86 unequal: No Solution
Exploring Operation: 86-46=40, Resulting Numbers: [40]
40,86 unequal: No Solution
No 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: 86:[86, 102], Operations: ['51+35=86', '28+74=102']
Exploring Operation: 86*102=8772, Resulting Numbers: [8772]
8772,86 unequal: No Solution
Exploring Operation: 102-86=16, Resulting Numbers: [16]
16,86 unequal: No Solution
Exploring Operation: 86+102=188, Resulting Numbers: [188]
188,86 unequal: No Solution
No 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: 86:[28, 12], Operations: ['51+35=86', '86-74=12']
Exploring Operation: 28*12=336, Resulting Numbers: [336]
336,86 unequal: No Solution
Exploring Operation: 28-12=16, Resulting Numbers: [16]
16,86 unequal: No Solution
Exploring Operation: 28+12=40, Resulting Numbers: [40]
40,86 unequal: No Solution
No 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: 86:[74, 58], Operations: ['51+35=86', '86-28=58']
Exploring Operation: 74+58=132, Resulting Numbers: [132]
132,86 unequal: No Solution
Exploring Operation: 74*58=4292, Resulting Numbers: [4292]
4292,86 unequal: No Solution
Exploring Operation: 74-58=16, Resulting Numbers: [16]
16,86 unequal: No Solution
No 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: 86:[74, 114], Operations: ['51+35=86', '28+86=114']
Exploring Operation: 74*114=8436, Resulting Numbers: [8436]
8436,86 unequal: No Solution
Exploring Operation: 114-74=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Exploring Operation: 74+114=188, Resulting Numbers: [188]
188,86 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
|
[
13,
58,
17,
6
] | 61
|
[
"13-6=7",
"17*7=119",
"119-58=61"
] |
Current State: 61:[13, 58, 17, 6], Operations: []
Exploring Operation: 13-6=7, Resulting Numbers: [58, 17, 7]
Generated Node #2: [58, 17, 7] from Operation: 13-6=7
Current State: 61:[58, 17, 7], Operations: ['13-6=7']
Exploring Operation: 17*7=119, Resulting Numbers: [58, 119]
Generated Node #3: [58, 119] from Operation: 17*7=119
Current State: 61:[58, 119], Operations: ['13-6=7', '17*7=119']
Exploring Operation: 119-58=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4
|
Current State: 61:[13, 58, 17, 6], Operations: []
Exploring Operation: 17+6=23, Resulting Numbers: [13, 58, 23]
Generated Node #0,0: 61:[13, 58, 23] Operation: 17+6=23
Exploring Operation: 13+6=19, Resulting Numbers: [58, 17, 19]
Generated Node #0,1: 61:[58, 17, 19] Operation: 13+6=19
Exploring Operation: 13*6=78, Resulting Numbers: [58, 17, 78]
Generated Node #0,2: 61:[58, 17, 78] Operation: 13*6=78
Exploring Operation: 13+17=30, Resulting Numbers: [58, 6, 30]
Generated Node #0,3: 61:[58, 6, 30] Operation: 13+17=30
Moving to Node #0,2
Current State: 61:[58, 17, 78], Operations: ['13*6=78']
Exploring Operation: 17+78=95, Resulting Numbers: [58, 95]
Generated Node #0,2,0: 61:[58, 95] Operation: 17+78=95
Exploring Operation: 78-17=61, Resulting Numbers: [58, 61]
Generated Node #0,2,1: 61:[58, 61] Operation: 78-17=61
Exploring Operation: 58-17=41, Resulting Numbers: [78, 41]
Generated Node #0,2,2: 61:[78, 41] Operation: 58-17=41
Exploring Operation: 58+17=75, Resulting Numbers: [78, 75]
Generated Node #0,2,3: 61:[78, 75] Operation: 58+17=75
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 61:[58, 61], Operations: ['13*6=78', '78-17=61']
Exploring Operation: 58*61=3538, Resulting Numbers: [3538]
3538,61 unequal: No Solution
Exploring Operation: 61-58=3, Resulting Numbers: [3]
3,61 unequal: No Solution
Exploring Operation: 58+61=119, Resulting Numbers: [119]
119,61 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 #0,2,3
Current State: 61:[78, 75], Operations: ['13*6=78', '58+17=75']
Exploring Operation: 78+75=153, Resulting Numbers: [153]
153,61 unequal: No Solution
Exploring Operation: 78*75=5850, Resulting Numbers: [5850]
5850,61 unequal: No Solution
Exploring Operation: 78-75=3, Resulting Numbers: [3]
3,61 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:[58, 95], Operations: ['13*6=78', '17+78=95']
Exploring Operation: 58+95=153, Resulting Numbers: [153]
153,61 unequal: No Solution
Exploring Operation: 58*95=5510, Resulting Numbers: [5510]
5510,61 unequal: No Solution
Exploring Operation: 95-58=37, Resulting Numbers: [37]
37,61 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 #0,2,2
Current State: 61:[78, 41], Operations: ['13*6=78', '58-17=41']
Exploring Operation: 78-41=37, Resulting Numbers: [37]
37,61 unequal: No Solution
Exploring Operation: 78+41=119, Resulting Numbers: [119]
119,61 unequal: No Solution
Exploring Operation: 78*41=3198, Resulting Numbers: [3198]
3198,61 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: 61:[58, 17, 19], Operations: ['13+6=19']
Exploring Operation: 17+19=36, Resulting Numbers: [58, 36]
Generated Node #0,1,0: 61:[58, 36] Operation: 17+19=36
Exploring Operation: 58+19=77, Resulting Numbers: [17, 77]
Generated Node #0,1,1: 61:[17, 77] Operation: 58+19=77
Exploring Operation: 58+17=75, Resulting Numbers: [19, 75]
Generated Node #0,1,2: 61:[19, 75] Operation: 58+17=75
Exploring Operation: 58-17=41, Resulting Numbers: [19, 41]
Generated Node #0,1,3: 61:[19, 41] Operation: 58-17=41
Moving to Node #0,0
Current State: 61:[13, 58, 23], Operations: ['17+6=23']
Exploring Operation: 13+23=36, Resulting Numbers: [58, 36]
Generated Node #0,0,0: 61:[58, 36] Operation: 13+23=36
Exploring Operation: 13+58=71, Resulting Numbers: [23, 71]
Generated Node #0,0,1: 61:[23, 71] Operation: 13+58=71
Exploring Operation: 23-13=10, Resulting Numbers: [58, 10]
Generated Node #0,0,2: 61:[58, 10] Operation: 23-13=10
Exploring Operation: 58-13=45, Resulting Numbers: [23, 45]
Generated Node #0,0,3: 61:[23, 45] Operation: 58-13=45
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 61:[58, 36], Operations: ['17+6=23', '13+23=36']
Exploring Operation: 58-36=22, Resulting Numbers: [22]
22,61 unequal: No Solution
Exploring Operation: 58+36=94, Resulting Numbers: [94]
94,61 unequal: No Solution
Exploring Operation: 58*36=2088, Resulting Numbers: [2088]
2088,61 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:[23, 71], Operations: ['17+6=23', '13+58=71']
Exploring Operation: 23*71=1633, Resulting Numbers: [1633]
1633,61 unequal: No Solution
Exploring Operation: 23+71=94, Resulting Numbers: [94]
94,61 unequal: No Solution
Exploring Operation: 71-23=48, Resulting Numbers: [48]
48,61 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:[58, 10], Operations: ['17+6=23', '23-13=10']
Exploring Operation: 58*10=580, Resulting Numbers: [580]
580,61 unequal: No Solution
Exploring Operation: 58-10=48, Resulting Numbers: [48]
48,61 unequal: No Solution
Exploring Operation: 58+10=68, Resulting Numbers: [68]
68,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 61:[23, 45], Operations: ['17+6=23', '58-13=45']
Exploring Operation: 45-23=22, Resulting Numbers: [22]
22,61 unequal: No Solution
Exploring Operation: 23+45=68, Resulting Numbers: [68]
68,61 unequal: No Solution
Exploring Operation: 23*45=1035, Resulting Numbers: [1035]
1035,61 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: 61:[58, 6, 30], Operations: ['13+17=30']
Exploring Operation: 30-6=24, Resulting Numbers: [58, 24]
Generated Node #0,3,0: 61:[58, 24] Operation: 30-6=24
Exploring Operation: 58-6=52, Resulting Numbers: [30, 52]
Generated Node #0,3,1: 61:[30, 52] Operation: 58-6=52
Exploring Operation: 6+30=36, Resulting Numbers: [58, 36]
Generated Node #0,3,2: 61:[58, 36] Operation: 6+30=36
Exploring Operation: 58+6=64, Resulting Numbers: [30, 64]
Generated Node #0,3,3: 61:[30, 64] Operation: 58+6=64
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 61:[58, 36], Operations: ['13+17=30', '6+30=36']
Exploring Operation: 58+36=94, Resulting Numbers: [94]
94,61 unequal: No Solution
Exploring Operation: 58*36=2088, Resulting Numbers: [2088]
2088,61 unequal: No Solution
Exploring Operation: 58-36=22, Resulting Numbers: [22]
22,61 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 #0,3,3
Current State: 61:[30, 64], Operations: ['13+17=30', '58+6=64']
Exploring Operation: 30+64=94, Resulting Numbers: [94]
94,61 unequal: No Solution
Exploring Operation: 64-30=34, Resulting Numbers: [34]
34,61 unequal: No Solution
Exploring Operation: 30*64=1920, Resulting Numbers: [1920]
1920,61 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 #0,3,0
Current State: 61:[58, 24], Operations: ['13+17=30', '30-6=24']
Exploring Operation: 58-24=34, Resulting Numbers: [34]
34,61 unequal: No Solution
Exploring Operation: 58*24=1392, Resulting Numbers: [1392]
1392,61 unequal: No Solution
Exploring Operation: 58+24=82, Resulting Numbers: [82]
82,61 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 #0,3,1
Current State: 61:[30, 52], Operations: ['13+17=30', '58-6=52']
Exploring Operation: 30*52=1560, Resulting Numbers: [1560]
1560,61 unequal: No Solution
Exploring Operation: 30+52=82, Resulting Numbers: [82]
82,61 unequal: No Solution
Exploring Operation: 52-30=22, Resulting Numbers: [22]
22,61 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: 61:[58, 36], Operations: ['13+6=19', '17+19=36']
Exploring Operation: 58-36=22, Resulting Numbers: [22]
22,61 unequal: No Solution
Exploring Operation: 58*36=2088, Resulting Numbers: [2088]
2088,61 unequal: No Solution
Exploring Operation: 58+36=94, Resulting Numbers: [94]
94,61 unequal: No Solution
Moving to Node #0,1,2
Current State: 61:[19, 75], Operations: ['13+6=19', '58+17=75']
Exploring Operation: 19*75=1425, Resulting Numbers: [1425]
1425,61 unequal: No Solution
Exploring Operation: 75-19=56, Resulting Numbers: [56]
56,61 unequal: No Solution
Exploring Operation: 19+75=94, Resulting Numbers: [94]
94,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[17, 77], Operations: ['13+6=19', '58+19=77']
Exploring Operation: 17+77=94, Resulting Numbers: [94]
94,61 unequal: No Solution
Exploring Operation: 77-17=60, Resulting Numbers: [60]
60,61 unequal: No Solution
Exploring Operation: 17*77=1309, Resulting Numbers: [1309]
1309,61 unequal: No Solution
Moving to Node #0,1,3
Current State: 61:[19, 41], Operations: ['13+6=19', '58-17=41']
Exploring Operation: 41-19=22, Resulting Numbers: [22]
22,61 unequal: No Solution
Exploring Operation: 19*41=779, Resulting Numbers: [779]
779,61 unequal: No Solution
Exploring Operation: 19+41=60, Resulting Numbers: [60]
60,61 unequal: No Solution
No solution found.
| 0
|
hs_4
|
sum_heuristic
|
[
15,
83,
79,
87
] | 18
|
[
"87-15=72",
"83-79=4",
"72/4=18"
] |
Current State: 18:[15, 83, 79, 87], Operations: []
Exploring Operation: 87-15=72, Resulting Numbers: [83, 79, 72]
Generated Node #2: [83, 79, 72] from Operation: 87-15=72
Current State: 18:[83, 79, 72], Operations: ['87-15=72']
Exploring Operation: 83-79=4, Resulting Numbers: [72, 4]
Generated Node #3: [72, 4] from Operation: 83-79=4
Current State: 18:[72, 4], Operations: ['87-15=72', '83-79=4']
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4
|
Current State: 18:[15, 83, 79, 87], Operations: []
Exploring Operation: 87-79=8, Resulting Numbers: [15, 83, 8]
Generated Node #0,0: 18:[15, 83, 8] Operation: 87-79=8
Exploring Operation: 83-79=4, Resulting Numbers: [15, 87, 4]
Generated Node #0,1: 18:[15, 87, 4] Operation: 83-79=4
Exploring Operation: 87-83=4, Resulting Numbers: [15, 79, 4]
Generated Node #0,2: 18:[15, 79, 4] Operation: 87-83=4
Moving to Node #0,2
Current State: 18:[15, 79, 4], Operations: ['87-83=4']
Exploring Operation: 15+4=19, Resulting Numbers: [79, 19]
Generated Node #0,2,0: 18:[79, 19] Operation: 15+4=19
Exploring Operation: 79-15=64, Resulting Numbers: [4, 64]
Generated Node #0,2,1: 18:[4, 64] Operation: 79-15=64
Exploring Operation: 79-4=75, Resulting Numbers: [15, 75]
Generated Node #0,2,2: 18:[15, 75] Operation: 79-4=75
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 18:[4, 64], Operations: ['87-83=4', '79-15=64']
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,18 unequal: No Solution
Exploring Operation: 4+64=68, Resulting Numbers: [68]
68,18 unequal: No Solution
Exploring Operation: 64-4=60, Resulting Numbers: [60]
60,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 18:[15, 75], Operations: ['87-83=4', '79-4=75']
Exploring Operation: 75-15=60, Resulting Numbers: [60]
60,18 unequal: No Solution
Exploring Operation: 75/15=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Exploring Operation: 15+75=90, Resulting Numbers: [90]
90,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 18:[79, 19], Operations: ['87-83=4', '15+4=19']
Exploring Operation: 79-19=60, Resulting Numbers: [60]
60,18 unequal: No Solution
Exploring Operation: 79*19=1501, Resulting Numbers: [1501]
1501,18 unequal: No Solution
Exploring Operation: 79+19=98, Resulting Numbers: [98]
98,18 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:[15, 83, 8], Operations: ['87-79=8']
Exploring Operation: 83-8=75, Resulting Numbers: [15, 75]
Generated Node #0,0,0: 18:[15, 75] Operation: 83-8=75
Exploring Operation: 15-8=7, Resulting Numbers: [83, 7]
Generated Node #0,0,1: 18:[83, 7] Operation: 15-8=7
Exploring Operation: 83-15=68, Resulting Numbers: [8, 68]
Generated Node #0,0,2: 18:[8, 68] Operation: 83-15=68
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 18:[8, 68], Operations: ['87-79=8', '83-15=68']
Exploring Operation: 68-8=60, Resulting Numbers: [60]
60,18 unequal: No Solution
Exploring Operation: 8+68=76, Resulting Numbers: [76]
76,18 unequal: No Solution
Exploring Operation: 8*68=544, Resulting Numbers: [544]
544,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 18:[15, 75], Operations: ['87-79=8', '83-8=75']
Exploring Operation: 75-15=60, Resulting Numbers: [60]
60,18 unequal: No Solution
Exploring Operation: 75/15=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Exploring Operation: 15+75=90, Resulting Numbers: [90]
90,18 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:[83, 7], Operations: ['87-79=8', '15-8=7']
Exploring Operation: 83*7=581, Resulting Numbers: [581]
581,18 unequal: No Solution
Exploring Operation: 83-7=76, Resulting Numbers: [76]
76,18 unequal: No Solution
Exploring Operation: 83+7=90, Resulting Numbers: [90]
90,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 18:[15, 87, 4], Operations: ['83-79=4']
Exploring Operation: 87-4=83, Resulting Numbers: [15, 83]
Generated Node #0,1,0: 18:[15, 83] Operation: 87-4=83
Exploring Operation: 87-15=72, Resulting Numbers: [4, 72]
Generated Node #0,1,1: 18:[4, 72] Operation: 87-15=72
Exploring Operation: 15+4=19, Resulting Numbers: [87, 19]
Generated Node #0,1,2: 18:[87, 19] Operation: 15+4=19
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 18:[4, 72], Operations: ['83-79=4', '87-15=72']
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[15, 83, 79, 87], Operations: []
Exploring Operation: 83-79=4, Resulting Numbers: [15, 87, 4]
Generated Node #0,1: 18:[15, 87, 4] Operation: 83-79=4
Moving to Node #0,1
Current State: 18:[15, 87, 4], Operations: ['83-79=4']
Exploring Operation: 87-15=72, Resulting Numbers: [4, 72]
Generated Node #0,1,1: 18:[4, 72] Operation: 87-15=72
Moving to Node #0,1,1
Current State: 18:[4, 72], Operations: ['83-79=4', '87-15=72']
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618
|
hs_3
|
sum_heuristic
|
[
91,
40,
16,
82
] | 65
|
[
"91+40=131",
"82-16=66",
"131-66=65"
] |
Current State: 65:[91, 40, 16, 82], Operations: []
Exploring Operation: 91+40=131, Resulting Numbers: [16, 82, 131]
Generated Node #2: [16, 82, 131] from Operation: 91+40=131
Current State: 65:[16, 82, 131], Operations: ['91+40=131']
Exploring Operation: 82-16=66, Resulting Numbers: [131, 66]
Generated Node #3: [131, 66] from Operation: 82-16=66
Current State: 65:[131, 66], Operations: ['91+40=131', '82-16=66']
Exploring Operation: 131-66=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4
|
Current State: 65:[91, 40, 16, 82], Operations: []
Exploring Operation: 91-16=75, Resulting Numbers: [40, 82, 75]
Generated Node #0,0: 65:[40, 82, 75] Operation: 91-16=75
Exploring Operation: 91-82=9, Resulting Numbers: [40, 16, 9]
Generated Node #0,1: 65:[40, 16, 9] Operation: 91-82=9
Exploring Operation: 91-40=51, Resulting Numbers: [16, 82, 51]
Generated Node #0,2: 65:[16, 82, 51] Operation: 91-40=51
Moving to Node #0,1
Current State: 65:[40, 16, 9], Operations: ['91-82=9']
Exploring Operation: 40+9=49, Resulting Numbers: [16, 49]
Generated Node #0,1,0: 65:[16, 49] Operation: 40+9=49
Exploring Operation: 40-16=24, Resulting Numbers: [9, 24]
Generated Node #0,1,1: 65:[9, 24] Operation: 40-16=24
Exploring Operation: 40+16=56, Resulting Numbers: [9, 56]
Generated Node #0,1,2: 65:[9, 56] Operation: 40+16=56
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 65:[9, 56], Operations: ['91-82=9', '40+16=56']
Exploring Operation: 56-9=47, Resulting Numbers: [47]
47,65 unequal: No Solution
Exploring Operation: 9+56=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[91, 40, 16, 82], Operations: []
Exploring Operation: 91-82=9, Resulting Numbers: [40, 16, 9]
Generated Node #0,1: 65:[40, 16, 9] Operation: 91-82=9
Moving to Node #0,1
Current State: 65:[40, 16, 9], Operations: ['91-82=9']
Exploring Operation: 40+16=56, Resulting Numbers: [9, 56]
Generated Node #0,1,2: 65:[9, 56] Operation: 40+16=56
Moving to Node #0,1,2
Current State: 65:[9, 56], Operations: ['91-82=9', '40+16=56']
Exploring Operation: 9+56=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583
|
hs_3
|
mult_heuristic
|
[
31,
40,
20,
40
] | 49
|
[
"40/20=2",
"40*2=80",
"80-31=49"
] |
Current State: 49:[31, 40, 20, 40], Operations: []
Exploring Operation: 40/20=2, Resulting Numbers: [31, 2]
Generated Node #2: [31, 2] from Operation: 40/20=2
Current State: 49:[31, 2], Operations: ['40/20=2']
Exploring Operation: 40*2=80, Resulting Numbers: [31, 80]
Generated Node #3: [31, 80] from Operation: 40*2=80
Current State: 49:[31, 80], Operations: ['40/20=2', '40*2=80']
Exploring Operation: 80-31=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4
|
Current State: 49:[31, 40, 20, 40], Operations: []
Exploring Operation: 31+20=51, Resulting Numbers: [40, 40, 51]
Generated Node #0,0: 49:[40, 40, 51] Operation: 31+20=51
Exploring Operation: 31-20=11, Resulting Numbers: [40, 40, 11]
Generated Node #0,1: 49:[40, 40, 11] Operation: 31-20=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[40, 40, 51], Operations: ['31+20=51']
Exploring Operation: 40/40=1, Resulting Numbers: [51, 1]
Generated Node #0,0,0: 49:[51, 1] Operation: 40/40=1
Exploring Operation: 40-40=0, Resulting Numbers: [51, 0]
Generated Node #0,0,1: 49:[51, 0] Operation: 40-40=0
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 49:[51, 1], Operations: ['31+20=51', '40/40=1']
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,49 unequal: No Solution
Exploring Operation: 51*1=51, Resulting Numbers: [51]
51,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 49:[51, 0], Operations: ['31+20=51', '40-40=0']
Exploring Operation: 51+0=51, Resulting Numbers: [51]
51,49 unequal: No Solution
Exploring Operation: 51-0=51, Resulting Numbers: [51]
51,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 49:[40, 40, 11], Operations: ['31-20=11']
Exploring Operation: 40/40=1, Resulting Numbers: [11, 1]
Generated Node #0,1,0: 49:[11, 1] Operation: 40/40=1
Exploring Operation: 40-40=0, Resulting Numbers: [11, 0]
Generated Node #0,1,1: 49:[11, 0] Operation: 40-40=0
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 49:[11, 1], Operations: ['31-20=11', '40/40=1']
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,49 unequal: No Solution
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 49:[11, 0], Operations: ['31-20=11', '40-40=0']
Exploring Operation: 11+0=11, Resulting Numbers: [11]
11,49 unequal: No Solution
Exploring Operation: 11-0=11, Resulting Numbers: [11]
11,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
65,
61,
70,
42
] | 67
|
[
"65+61=126",
"126/42=3",
"70-3=67"
] |
Current State: 67:[65, 61, 70, 42], Operations: []
Exploring Operation: 65+61=126, Resulting Numbers: [70, 42, 126]
Generated Node #2: [70, 42, 126] from Operation: 65+61=126
Current State: 67:[70, 42, 126], Operations: ['65+61=126']
Exploring Operation: 126/42=3, Resulting Numbers: [70, 3]
Generated Node #3: [70, 3] from Operation: 126/42=3
Current State: 67:[70, 3], Operations: ['65+61=126', '126/42=3']
Exploring Operation: 70-3=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4
|
Current State: 67:[65, 61, 70, 42], Operations: []
Exploring Operation: 61+42=103, Resulting Numbers: [65, 70, 103]
Generated Node #0,0: 67:[65, 70, 103] Operation: 61+42=103
Exploring Operation: 70-42=28, Resulting Numbers: [65, 61, 28]
Generated Node #0,1: 67:[65, 61, 28] Operation: 70-42=28
Moving to Node #0,0
Current State: 67:[65, 70, 103], Operations: ['61+42=103']
Exploring Operation: 103-65=38, Resulting Numbers: [70, 38]
Generated Node #0,0,0: 67:[70, 38] Operation: 103-65=38
Exploring Operation: 103-70=33, Resulting Numbers: [65, 33]
Generated Node #0,0,1: 67:[65, 33] Operation: 103-70=33
Moving to Node #0,1
Current State: 67:[65, 61, 28], Operations: ['70-42=28']
Exploring Operation: 65+28=93, Resulting Numbers: [61, 93]
Generated Node #0,1,0: 67:[61, 93] Operation: 65+28=93
Exploring Operation: 61+28=89, Resulting Numbers: [65, 89]
Generated Node #0,1,1: 67:[65, 89] Operation: 61+28=89
Moving to Node #0,1,1
Current State: 67:[65, 89], Operations: ['70-42=28', '61+28=89']
Exploring Operation: 89-65=24, Resulting Numbers: [24]
24,67 unequal: No Solution
Exploring Operation: 65+89=154, Resulting Numbers: [154]
154,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[70, 38], Operations: ['61+42=103', '103-65=38']
Exploring Operation: 70+38=108, Resulting Numbers: [108]
108,67 unequal: No Solution
Exploring Operation: 70-38=32, Resulting Numbers: [32]
32,67 unequal: No Solution
Moving to Node #0,1,0
Current State: 67:[61, 93], Operations: ['70-42=28', '65+28=93']
Exploring Operation: 93-61=32, Resulting Numbers: [32]
32,67 unequal: No Solution
Exploring Operation: 61+93=154, Resulting Numbers: [154]
154,67 unequal: No Solution
Moving to Node #0,0,1
Current State: 67:[65, 33], Operations: ['61+42=103', '103-70=33']
Exploring Operation: 65-33=32, Resulting Numbers: [32]
32,67 unequal: No Solution
Exploring Operation: 65+33=98, Resulting Numbers: [98]
98,67 unequal: No Solution
No solution found.
| 0
|
hs_2
|
sum_heuristic
|
[
38,
39,
58,
44
] | 88
|
[
"38*44=1672",
"58-39=19",
"1672/19=88"
] |
Current State: 88:[38, 39, 58, 44], Operations: []
Exploring Operation: 38*44=1672, Resulting Numbers: [39, 58, 1672]
Generated Node #2: [39, 58, 1672] from Operation: 38*44=1672
Current State: 88:[39, 58, 1672], Operations: ['38*44=1672']
Exploring Operation: 58-39=19, Resulting Numbers: [1672, 19]
Generated Node #3: [1672, 19] from Operation: 58-39=19
Current State: 88:[1672, 19], Operations: ['38*44=1672', '58-39=19']
Exploring Operation: 1672/19=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4
|
Current State: 88:[38, 39, 58, 44], Operations: []
Exploring Operation: 58-38=20, Resulting Numbers: [39, 44, 20]
Generated Node #0,0: 88:[39, 44, 20] Operation: 58-38=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[39, 44, 20], Operations: ['58-38=20']
Exploring Operation: 44-39=5, Resulting Numbers: [20, 5]
Generated Node #0,0,0: 88:[20, 5] Operation: 44-39=5
Moving to Node #0,0,0
Current State: 88:[20, 5], Operations: ['58-38=20', '44-39=5']
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,88 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
|
[
87,
14,
98,
44
] | 50
|
[
"87-44=43",
"98/14=7",
"43+7=50"
] |
Current State: 50:[87, 14, 98, 44], Operations: []
Exploring Operation: 87-44=43, Resulting Numbers: [14, 98, 43]
Generated Node #2: [14, 98, 43] from Operation: 87-44=43
Current State: 50:[14, 98, 43], Operations: ['87-44=43']
Exploring Operation: 98/14=7, Resulting Numbers: [43, 7]
Generated Node #3: [43, 7] from Operation: 98/14=7
Current State: 50:[43, 7], Operations: ['87-44=43', '98/14=7']
Exploring Operation: 43+7=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4
|
Current State: 50:[87, 14, 98, 44], Operations: []
Exploring Operation: 98-44=54, Resulting Numbers: [87, 14, 54]
Generated Node #0,0: 50:[87, 14, 54] Operation: 98-44=54
Exploring Operation: 98-87=11, Resulting Numbers: [14, 44, 11]
Generated Node #0,1: 50:[14, 44, 11] Operation: 98-87=11
Exploring Operation: 98/14=7, Resulting Numbers: [87, 44, 7]
Generated Node #0,2: 50:[87, 44, 7] Operation: 98/14=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[14, 44, 11], Operations: ['98-87=11']
Exploring Operation: 14+11=25, Resulting Numbers: [44, 25]
Generated Node #0,1,0: 50:[44, 25] Operation: 14+11=25
Exploring Operation: 44/11=4, Resulting Numbers: [14, 4]
Generated Node #0,1,1: 50:[14, 4] Operation: 44/11=4
Exploring Operation: 44-14=30, Resulting Numbers: [11, 30]
Generated Node #0,1,2: 50:[11, 30] Operation: 44-14=30
Moving to Node #0,1,1
Current State: 50:[14, 4], Operations: ['98-87=11', '44/11=4']
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,50 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,50 unequal: No Solution
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,50 unequal: No Solution
Moving to Node #0,1,0
Current State: 50:[44, 25], Operations: ['98-87=11', '14+11=25']
Exploring Operation: 44+25=69, Resulting Numbers: [69]
69,50 unequal: No Solution
Exploring Operation: 44-25=19, Resulting Numbers: [19]
19,50 unequal: No Solution
Exploring Operation: 44*25=1100, Resulting Numbers: [1100]
1100,50 unequal: No Solution
Moving to Node #0,1,2
Current State: 50:[11, 30], Operations: ['98-87=11', '44-14=30']
Exploring Operation: 11+30=41, Resulting Numbers: [41]
41,50 unequal: No Solution
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,50 unequal: No Solution
Exploring Operation: 11*30=330, Resulting Numbers: [330]
330,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[87, 14, 54], Operations: ['98-44=54']
Exploring Operation: 87-14=73, Resulting Numbers: [54, 73]
Generated Node #0,0,0: 50:[54, 73] Operation: 87-14=73
Exploring Operation: 87-54=33, Resulting Numbers: [14, 33]
Generated Node #0,0,1: 50:[14, 33] Operation: 87-54=33
Exploring Operation: 54-14=40, Resulting Numbers: [87, 40]
Generated Node #0,0,2: 50:[87, 40] Operation: 54-14=40
Moving to Node #0,0,1
Current State: 50:[14, 33], Operations: ['98-44=54', '87-54=33']
Exploring Operation: 14*33=462, Resulting Numbers: [462]
462,50 unequal: No Solution
Exploring Operation: 14+33=47, Resulting Numbers: [47]
47,50 unequal: No Solution
Exploring Operation: 33-14=19, Resulting Numbers: [19]
19,50 unequal: No Solution
Moving to Node #0,0,0
Current State: 50:[54, 73], Operations: ['98-44=54', '87-14=73']
Exploring Operation: 54*73=3942, Resulting Numbers: [3942]
3942,50 unequal: No Solution
Exploring Operation: 73-54=19, Resulting Numbers: [19]
19,50 unequal: No Solution
Exploring Operation: 54+73=127, Resulting Numbers: [127]
127,50 unequal: No Solution
Moving to Node #0,0,2
Current State: 50:[87, 40], Operations: ['98-44=54', '54-14=40']
Exploring Operation: 87*40=3480, Resulting Numbers: [3480]
3480,50 unequal: No Solution
Exploring Operation: 87-40=47, Resulting Numbers: [47]
47,50 unequal: No Solution
Exploring Operation: 87+40=127, Resulting Numbers: [127]
127,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 50:[87, 44, 7], Operations: ['98/14=7']
Exploring Operation: 44+7=51, Resulting Numbers: [87, 51]
Generated Node #0,2,0: 50:[87, 51] Operation: 44+7=51
Exploring Operation: 87-44=43, Resulting Numbers: [7, 43]
Generated Node #0,2,1: 50:[7, 43] Operation: 87-44=43
Exploring Operation: 87-7=80, Resulting Numbers: [44, 80]
Generated Node #0,2,2: 50:[44, 80] Operation: 87-7=80
Moving to Node #0,2,1
Current State: 50:[7, 43], Operations: ['98/14=7', '87-44=43']
Exploring Operation: 7+43=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[87, 14, 98, 44], Operations: []
Exploring Operation: 98/14=7, Resulting Numbers: [87, 44, 7]
Generated Node #0,2: 50:[87, 44, 7] Operation: 98/14=7
Moving to Node #0,2
Current State: 50:[87, 44, 7], Operations: ['98/14=7']
Exploring Operation: 87-44=43, Resulting Numbers: [7, 43]
Generated Node #0,2,1: 50:[7, 43] Operation: 87-44=43
Moving to Node #0,2,1
Current State: 50:[7, 43], Operations: ['98/14=7', '87-44=43']
Exploring Operation: 7+43=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618
|
hs_3
|
sum_heuristic
|
[
73,
37,
53,
3
] | 20
|
[
"73-37=36",
"53+3=56",
"56-36=20"
] |
Current State: 20:[73, 37, 53, 3], Operations: []
Exploring Operation: 73-37=36, Resulting Numbers: [53, 3, 36]
Generated Node #2: [53, 3, 36] from Operation: 73-37=36
Current State: 20:[53, 3, 36], Operations: ['73-37=36']
Exploring Operation: 53+3=56, Resulting Numbers: [36, 56]
Generated Node #3: [36, 56] from Operation: 53+3=56
Current State: 20:[36, 56], Operations: ['73-37=36', '53+3=56']
Exploring Operation: 56-36=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4
|
Current State: 20:[73, 37, 53, 3], Operations: []
Exploring Operation: 73-3=70, Resulting Numbers: [37, 53, 70]
Generated Node #0,0: 20:[37, 53, 70] Operation: 73-3=70
Exploring Operation: 73-37=36, Resulting Numbers: [53, 3, 36]
Generated Node #0,1: 20:[53, 3, 36] Operation: 73-37=36
Exploring Operation: 73-53=20, Resulting Numbers: [37, 3, 20]
Generated Node #0,2: 20:[37, 3, 20] Operation: 73-53=20
Exploring Operation: 53-37=16, Resulting Numbers: [73, 3, 16]
Generated Node #0,3: 20:[73, 3, 16] Operation: 53-37=16
Start Sub Search at level 1: Moving to Node #0,2
Current State: 20:[37, 3, 20], Operations: ['73-53=20']
Exploring Operation: 37+3=40, Resulting Numbers: [20, 40]
Generated Node #0,2,0: 20:[20, 40] Operation: 37+3=40
Exploring Operation: 37-3=34, Resulting Numbers: [20, 34]
Generated Node #0,2,1: 20:[20, 34] Operation: 37-3=34
Exploring Operation: 37-20=17, Resulting Numbers: [3, 17]
Generated Node #0,2,2: 20:[3, 17] Operation: 37-20=17
Exploring Operation: 3+20=23, Resulting Numbers: [37, 23]
Generated Node #0,2,3: 20:[37, 23] Operation: 3+20=23
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 20:[3, 17], Operations: ['73-53=20', '37-20=17']
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[73, 37, 53, 3], Operations: []
Exploring Operation: 73-53=20, Resulting Numbers: [37, 3, 20]
Generated Node #0,2: 20:[37, 3, 20] Operation: 73-53=20
Moving to Node #0,2
Current State: 20:[37, 3, 20], Operations: ['73-53=20']
Exploring Operation: 37-20=17, Resulting Numbers: [3, 17]
Generated Node #0,2,2: 20:[3, 17] Operation: 37-20=17
Moving to Node #0,2,2
Current State: 20:[3, 17], Operations: ['73-53=20', '37-20=17']
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715
|
hs_4
|
mult_heuristic
|
[
37,
30,
3,
58
] | 62
|
[
"37-30=7",
"58-3=55",
"7+55=62"
] |
Current State: 62:[37, 30, 3, 58], Operations: []
Exploring Operation: 37-30=7, Resulting Numbers: [3, 58, 7]
Generated Node #2: [3, 58, 7] from Operation: 37-30=7
Current State: 62:[3, 58, 7], Operations: ['37-30=7']
Exploring Operation: 58-3=55, Resulting Numbers: [7, 55]
Generated Node #3: [7, 55] from Operation: 58-3=55
Current State: 62:[7, 55], Operations: ['37-30=7', '58-3=55']
Exploring Operation: 7+55=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4
|
Current State: 62:[37, 30, 3, 58], Operations: []
Exploring Operation: 37-3=34, Resulting Numbers: [30, 58, 34]
Generated Node #0,0: 62:[30, 58, 34] Operation: 37-3=34
Exploring Operation: 37+30=67, Resulting Numbers: [3, 58, 67]
Generated Node #0,1: 62:[3, 58, 67] Operation: 37+30=67
Exploring Operation: 3+58=61, Resulting Numbers: [37, 30, 61]
Generated Node #0,2: 62:[37, 30, 61] Operation: 3+58=61
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[30, 58, 34], Operations: ['37-3=34']
Exploring Operation: 58-30=28, Resulting Numbers: [34, 28]
Generated Node #0,0,0: 62:[34, 28] Operation: 58-30=28
Exploring Operation: 34-30=4, Resulting Numbers: [58, 4]
Generated Node #0,0,1: 62:[58, 4] Operation: 34-30=4
Exploring Operation: 30+34=64, Resulting Numbers: [58, 64]
Generated Node #0,0,2: 62:[58, 64] Operation: 30+34=64
Moving to Node #0,0,0
Current State: 62:[34, 28], Operations: ['37-3=34', '58-30=28']
Exploring Operation: 34-28=6, Resulting Numbers: [6]
6,62 unequal: No Solution
Exploring Operation: 34+28=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[37, 30, 3, 58], Operations: []
Exploring Operation: 37-3=34, Resulting Numbers: [30, 58, 34]
Generated Node #0,0: 62:[30, 58, 34] Operation: 37-3=34
Moving to Node #0,0
Current State: 62:[30, 58, 34], Operations: ['37-3=34']
Exploring Operation: 58-30=28, Resulting Numbers: [34, 28]
Generated Node #0,0,0: 62:[34, 28] Operation: 58-30=28
Moving to Node #0,0,0
Current State: 62:[34, 28], Operations: ['37-3=34', '58-30=28']
Exploring Operation: 34+28=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583
|
hs_3
|
sum_heuristic
|
[
85,
70,
20,
80
] | 19
|
[
"85-70=15",
"80/20=4",
"15+4=19"
] |
Current State: 19:[85, 70, 20, 80], Operations: []
Exploring Operation: 85-70=15, Resulting Numbers: [20, 80, 15]
Generated Node #2: [20, 80, 15] from Operation: 85-70=15
Current State: 19:[20, 80, 15], Operations: ['85-70=15']
Exploring Operation: 80/20=4, Resulting Numbers: [15, 4]
Generated Node #3: [15, 4] from Operation: 80/20=4
Current State: 19:[15, 4], Operations: ['85-70=15', '80/20=4']
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4
|
Current State: 19:[85, 70, 20, 80], Operations: []
Exploring Operation: 85-70=15, Resulting Numbers: [20, 80, 15]
Generated Node #0,0: 19:[20, 80, 15] Operation: 85-70=15
Moving to Node #0,0
Current State: 19:[20, 80, 15], Operations: ['85-70=15']
Exploring Operation: 80/20=4, Resulting Numbers: [15, 4]
Generated Node #0,0,0: 19:[15, 4] Operation: 80/20=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 19:[15, 4], Operations: ['85-70=15', '80/20=4']
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[85, 70, 20, 80], Operations: []
Exploring Operation: 85-70=15, Resulting Numbers: [20, 80, 15]
Generated Node #0,0: 19:[20, 80, 15] Operation: 85-70=15
Moving to Node #0,0
Current State: 19:[20, 80, 15], Operations: ['85-70=15']
Exploring Operation: 80/20=4, Resulting Numbers: [15, 4]
Generated Node #0,0,0: 19:[15, 4] Operation: 80/20=4
Moving to Node #0,0,0
Current State: 19:[15, 4], Operations: ['85-70=15', '80/20=4']
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
mult_heuristic
|
[
87,
19,
10,
2
] | 63
|
[
"87+19=106",
"106/2=53",
"10+53=63"
] |
Current State: 63:[87, 19, 10, 2], Operations: []
Exploring Operation: 87+19=106, Resulting Numbers: [10, 2, 106]
Generated Node #2: [10, 2, 106] from Operation: 87+19=106
Current State: 63:[10, 2, 106], Operations: ['87+19=106']
Exploring Operation: 106/2=53, Resulting Numbers: [10, 53]
Generated Node #3: [10, 53] from Operation: 106/2=53
Current State: 63:[10, 53], Operations: ['87+19=106', '106/2=53']
Exploring Operation: 10+53=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4
|
Current State: 63:[87, 19, 10, 2], Operations: []
Exploring Operation: 19+2=21, Resulting Numbers: [87, 10, 21]
Generated Node #0,0: 63:[87, 10, 21] Operation: 19+2=21
Exploring Operation: 87-10=77, Resulting Numbers: [19, 2, 77]
Generated Node #0,1: 63:[19, 2, 77] Operation: 87-10=77
Exploring Operation: 19-10=9, Resulting Numbers: [87, 2, 9]
Generated Node #0,2: 63:[87, 2, 9] Operation: 19-10=9
Exploring Operation: 87-19=68, Resulting Numbers: [10, 2, 68]
Generated Node #0,3: 63:[10, 2, 68] Operation: 87-19=68
Exploring Operation: 87-2=85, Resulting Numbers: [19, 10, 85]
Generated Node #0,4: 63:[19, 10, 85] Operation: 87-2=85
Moving to Node #0,3
Current State: 63:[10, 2, 68], Operations: ['87-19=68']
Exploring Operation: 10*2=20, Resulting Numbers: [68, 20]
Generated Node #0,3,0: 63:[68, 20] Operation: 10*2=20
Exploring Operation: 10-2=8, Resulting Numbers: [68, 8]
Generated Node #0,3,1: 63:[68, 8] Operation: 10-2=8
Exploring Operation: 10/2=5, Resulting Numbers: [68, 5]
Generated Node #0,3,2: 63:[68, 5] Operation: 10/2=5
Exploring Operation: 68-10=58, Resulting Numbers: [2, 58]
Generated Node #0,3,3: 63:[2, 58] Operation: 68-10=58
Exploring Operation: 68-2=66, Resulting Numbers: [10, 66]
Generated Node #0,3,4: 63:[10, 66] Operation: 68-2=66
Moving to Node #0,1
Current State: 63:[19, 2, 77], Operations: ['87-10=77']
Exploring Operation: 2+77=79, Resulting Numbers: [19, 79]
Generated Node #0,1,0: 63:[19, 79] Operation: 2+77=79
Exploring Operation: 19+2=21, Resulting Numbers: [77, 21]
Generated Node #0,1,1: 63:[77, 21] Operation: 19+2=21
Exploring Operation: 19-2=17, Resulting Numbers: [77, 17]
Generated Node #0,1,2: 63:[77, 17] Operation: 19-2=17
Exploring Operation: 77-2=75, Resulting Numbers: [19, 75]
Generated Node #0,1,3: 63:[19, 75] Operation: 77-2=75
Exploring Operation: 77-19=58, Resulting Numbers: [2, 58]
Generated Node #0,1,4: 63:[2, 58] Operation: 77-19=58
Moving to Node #0,0
Current State: 63:[87, 10, 21], Operations: ['19+2=21']
Exploring Operation: 10+21=31, Resulting Numbers: [87, 31]
Generated Node #0,0,0: 63:[87, 31] Operation: 10+21=31
Exploring Operation: 21-10=11, Resulting Numbers: [87, 11]
Generated Node #0,0,1: 63:[87, 11] Operation: 21-10=11
Exploring Operation: 87-10=77, Resulting Numbers: [21, 77]
Generated Node #0,0,2: 63:[21, 77] Operation: 87-10=77
Exploring Operation: 87+10=97, Resulting Numbers: [21, 97]
Generated Node #0,0,3: 63:[21, 97] Operation: 87+10=97
Exploring Operation: 87-21=66, Resulting Numbers: [10, 66]
Generated Node #0,0,4: 63:[10, 66] Operation: 87-21=66
Moving to Node #0,2
Current State: 63:[87, 2, 9], Operations: ['19-10=9']
Exploring Operation: 87-2=85, Resulting Numbers: [9, 85]
Generated Node #0,2,0: 63:[9, 85] Operation: 87-2=85
Exploring Operation: 9-2=7, Resulting Numbers: [87, 7]
Generated Node #0,2,1: 63:[87, 7] Operation: 9-2=7
Exploring Operation: 2+9=11, Resulting Numbers: [87, 11]
Generated Node #0,2,2: 63:[87, 11] Operation: 2+9=11
Exploring Operation: 87+2=89, Resulting Numbers: [9, 89]
Generated Node #0,2,3: 63:[9, 89] Operation: 87+2=89
Exploring Operation: 87-9=78, Resulting Numbers: [2, 78]
Generated Node #0,2,4: 63:[2, 78] Operation: 87-9=78
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 63:[2, 78], Operations: ['19-10=9', '87-9=78']
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,63 unequal: No Solution
Exploring Operation: 2*78=156, Resulting Numbers: [156]
156,63 unequal: No Solution
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,63 unequal: No Solution
Exploring Operation: 2+78=80, Resulting Numbers: [80]
80,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 63:[9, 85], Operations: ['19-10=9', '87-2=85']
Exploring Operation: 9*85=765, Resulting Numbers: [765]
765,63 unequal: No Solution
Exploring Operation: 9+85=94, Resulting Numbers: [94]
94,63 unequal: No Solution
Exploring Operation: 85-9=76, Resulting Numbers: [76]
76,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 63:[87, 7], Operations: ['19-10=9', '9-2=7']
Exploring Operation: 87-7=80, Resulting Numbers: [80]
80,63 unequal: No Solution
Exploring Operation: 87*7=609, Resulting Numbers: [609]
609,63 unequal: No Solution
Exploring Operation: 87+7=94, Resulting Numbers: [94]
94,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 63:[87, 11], Operations: ['19-10=9', '2+9=11']
Exploring Operation: 87*11=957, Resulting Numbers: [957]
957,63 unequal: No Solution
Exploring Operation: 87-11=76, Resulting Numbers: [76]
76,63 unequal: No Solution
Exploring Operation: 87+11=98, Resulting Numbers: [98]
98,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 63:[9, 89], Operations: ['19-10=9', '87+2=89']
Exploring Operation: 89-9=80, Resulting Numbers: [80]
80,63 unequal: No Solution
Exploring Operation: 9*89=801, Resulting Numbers: [801]
801,63 unequal: No Solution
Exploring Operation: 9+89=98, Resulting Numbers: [98]
98,63 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: 63:[19, 10, 85], Operations: ['87-2=85']
Exploring Operation: 19-10=9, Resulting Numbers: [85, 9]
Generated Node #0,4,0: 63:[85, 9] Operation: 19-10=9
Exploring Operation: 85-10=75, Resulting Numbers: [19, 75]
Generated Node #0,4,1: 63:[19, 75] Operation: 85-10=75
Exploring Operation: 85-19=66, Resulting Numbers: [10, 66]
Generated Node #0,4,2: 63:[10, 66] Operation: 85-19=66
Exploring Operation: 19+10=29, Resulting Numbers: [85, 29]
Generated Node #0,4,3: 63:[85, 29] Operation: 19+10=29
Exploring Operation: 10+85=95, Resulting Numbers: [19, 95]
Generated Node #0,4,4: 63:[19, 95] Operation: 10+85=95
Moving to Node #0,3,4
Current State: 63:[10, 66], Operations: ['87-19=68', '68-2=66']
Exploring Operation: 10+66=76, Resulting Numbers: [76]
76,63 unequal: No Solution
Exploring Operation: 10*66=660, Resulting Numbers: [660]
660,63 unequal: No Solution
Exploring Operation: 66-10=56, Resulting Numbers: [56]
56,63 unequal: No Solution
Moving to Node #0,0,4
Current State: 63:[10, 66], Operations: ['19+2=21', '87-21=66']
Exploring Operation: 66-10=56, Resulting Numbers: [56]
56,63 unequal: No Solution
Exploring Operation: 10+66=76, Resulting Numbers: [76]
76,63 unequal: No Solution
Exploring Operation: 10*66=660, Resulting Numbers: [660]
660,63 unequal: No Solution
Moving to Node #0,4,2
Current State: 63:[10, 66], Operations: ['87-2=85', '85-19=66']
Exploring Operation: 10+66=76, Resulting Numbers: [76]
76,63 unequal: No Solution
Exploring Operation: 66-10=56, Resulting Numbers: [56]
56,63 unequal: No Solution
Exploring Operation: 10*66=660, Resulting Numbers: [660]
660,63 unequal: No Solution
Moving to Node #0,3,1
Current State: 63:[68, 8], Operations: ['87-19=68', '10-2=8']
Exploring Operation: 68-8=60, Resulting Numbers: [60]
60,63 unequal: No Solution
Exploring Operation: 68+8=76, Resulting Numbers: [76]
76,63 unequal: No Solution
Exploring Operation: 68*8=544, Resulting Numbers: [544]
544,63 unequal: No Solution
Moving to Node #0,1,4
Current State: 63:[2, 58], Operations: ['87-10=77', '77-19=58']
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,63 unequal: No Solution
Exploring Operation: 2+58=60, Resulting Numbers: [60]
60,63 unequal: No Solution
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,63 unequal: No Solution
Exploring Operation: 2*58=116, Resulting Numbers: [116]
116,63 unequal: No Solution
Moving to Node #0,3,0
Current State: 63:[68, 20], Operations: ['87-19=68', '10*2=20']
Exploring Operation: 68-20=48, Resulting Numbers: [48]
48,63 unequal: No Solution
Exploring Operation: 68*20=1360, Resulting Numbers: [1360]
1360,63 unequal: No Solution
Exploring Operation: 68+20=88, Resulting Numbers: [88]
88,63 unequal: No Solution
Moving to Node #0,3,3
Current State: 63:[2, 58], Operations: ['87-19=68', '68-10=58']
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,63 unequal: No Solution
Exploring Operation: 2+58=60, Resulting Numbers: [60]
60,63 unequal: No Solution
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,63 unequal: No Solution
Exploring Operation: 2*58=116, Resulting Numbers: [116]
116,63 unequal: No Solution
Moving to Node #0,3,2
Current State: 63:[68, 5], Operations: ['87-19=68', '10/2=5']
Exploring Operation: 68+5=73, Resulting Numbers: [73]
73,63 unequal: No Solution
Exploring Operation: 68-5=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[87, 19, 10, 2], Operations: []
Exploring Operation: 87-19=68, Resulting Numbers: [10, 2, 68]
Generated Node #0,3: 63:[10, 2, 68] Operation: 87-19=68
Moving to Node #0,3
Current State: 63:[10, 2, 68], Operations: ['87-19=68']
Exploring Operation: 10/2=5, Resulting Numbers: [68, 5]
Generated Node #0,3,2: 63:[68, 5] Operation: 10/2=5
Moving to Node #0,3,2
Current State: 63:[68, 5], Operations: ['87-19=68', '10/2=5']
Exploring Operation: 68-5=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 0.934896
|
hs_5
|
mult_heuristic
|
[
81,
99,
3,
71
] | 77
|
[
"99-81=18",
"18/3=6",
"71+6=77"
] |
Current State: 77:[81, 99, 3, 71], Operations: []
Exploring Operation: 99-81=18, Resulting Numbers: [3, 71, 18]
Generated Node #2: [3, 71, 18] from Operation: 99-81=18
Current State: 77:[3, 71, 18], Operations: ['99-81=18']
Exploring Operation: 18/3=6, Resulting Numbers: [71, 6]
Generated Node #3: [71, 6] from Operation: 18/3=6
Current State: 77:[71, 6], Operations: ['99-81=18', '18/3=6']
Exploring Operation: 71+6=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4
|
Current State: 77:[81, 99, 3, 71], Operations: []
Exploring Operation: 99-81=18, Resulting Numbers: [3, 71, 18]
Generated Node #0,0: 77:[3, 71, 18] Operation: 99-81=18
Exploring Operation: 81-71=10, Resulting Numbers: [99, 3, 10]
Generated Node #0,1: 77:[99, 3, 10] Operation: 81-71=10
Exploring Operation: 99-71=28, Resulting Numbers: [81, 3, 28]
Generated Node #0,2: 77:[81, 3, 28] Operation: 99-71=28
Exploring Operation: 81-3=78, Resulting Numbers: [99, 71, 78]
Generated Node #0,3: 77:[99, 71, 78] Operation: 81-3=78
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[3, 71, 18], Operations: ['99-81=18']
Exploring Operation: 18-3=15, Resulting Numbers: [71, 15]
Generated Node #0,0,0: 77:[71, 15] Operation: 18-3=15
Exploring Operation: 71-3=68, Resulting Numbers: [18, 68]
Generated Node #0,0,1: 77:[18, 68] Operation: 71-3=68
Exploring Operation: 3+71=74, Resulting Numbers: [18, 74]
Generated Node #0,0,2: 77:[18, 74] Operation: 3+71=74
Exploring Operation: 18/3=6, Resulting Numbers: [71, 6]
Generated Node #0,0,3: 77:[71, 6] Operation: 18/3=6
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 77:[71, 6], Operations: ['99-81=18', '18/3=6']
Exploring Operation: 71-6=65, Resulting Numbers: [65]
65,77 unequal: No Solution
Exploring Operation: 71+6=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[81, 99, 3, 71], Operations: []
Exploring Operation: 99-81=18, Resulting Numbers: [3, 71, 18]
Generated Node #0,0: 77:[3, 71, 18] Operation: 99-81=18
Moving to Node #0,0
Current State: 77:[3, 71, 18], Operations: ['99-81=18']
Exploring Operation: 18/3=6, Resulting Numbers: [71, 6]
Generated Node #0,0,3: 77:[71, 6] Operation: 18/3=6
Moving to Node #0,0,3
Current State: 77:[71, 6], Operations: ['99-81=18', '18/3=6']
Exploring Operation: 71+6=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847
|
hs_4
|
sum_heuristic
|
[
80,
50,
91,
67
] | 57
|
[
"80-67=13",
"91/13=7",
"50+7=57"
] |
Current State: 57:[80, 50, 91, 67], Operations: []
Exploring Operation: 80-67=13, Resulting Numbers: [50, 91, 13]
Generated Node #2: [50, 91, 13] from Operation: 80-67=13
Current State: 57:[50, 91, 13], Operations: ['80-67=13']
Exploring Operation: 91/13=7, Resulting Numbers: [50, 7]
Generated Node #3: [50, 7] from Operation: 91/13=7
Current State: 57:[50, 7], Operations: ['80-67=13', '91/13=7']
Exploring Operation: 50+7=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4
|
Current State: 57:[80, 50, 91, 67], Operations: []
Exploring Operation: 80-67=13, Resulting Numbers: [50, 91, 13]
Generated Node #0,0: 57:[50, 91, 13] Operation: 80-67=13
Exploring Operation: 91-50=41, Resulting Numbers: [80, 67, 41]
Generated Node #0,1: 57:[80, 67, 41] Operation: 91-50=41
Exploring Operation: 91-80=11, Resulting Numbers: [50, 67, 11]
Generated Node #0,2: 57:[50, 67, 11] Operation: 91-80=11
Exploring Operation: 91-67=24, Resulting Numbers: [80, 50, 24]
Generated Node #0,3: 57:[80, 50, 24] Operation: 91-67=24
Moving to Node #0,2
Current State: 57:[50, 67, 11], Operations: ['91-80=11']
Exploring Operation: 50+11=61, Resulting Numbers: [67, 61]
Generated Node #0,2,0: 57:[67, 61] Operation: 50+11=61
Exploring Operation: 50-11=39, Resulting Numbers: [67, 39]
Generated Node #0,2,1: 57:[67, 39] Operation: 50-11=39
Exploring Operation: 67-50=17, Resulting Numbers: [11, 17]
Generated Node #0,2,2: 57:[11, 17] Operation: 67-50=17
Exploring Operation: 67-11=56, Resulting Numbers: [50, 56]
Generated Node #0,2,3: 57:[50, 56] Operation: 67-11=56
Moving to Node #0,3
Current State: 57:[80, 50, 24], Operations: ['91-67=24']
Exploring Operation: 80-50=30, Resulting Numbers: [24, 30]
Generated Node #0,3,0: 57:[24, 30] Operation: 80-50=30
Exploring Operation: 50-24=26, Resulting Numbers: [80, 26]
Generated Node #0,3,1: 57:[80, 26] Operation: 50-24=26
Exploring Operation: 80-24=56, Resulting Numbers: [50, 56]
Generated Node #0,3,2: 57:[50, 56] Operation: 80-24=56
Exploring Operation: 50+24=74, Resulting Numbers: [80, 74]
Generated Node #0,3,3: 57:[80, 74] Operation: 50+24=74
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 57:[50, 56], Operations: ['91-67=24', '80-24=56']
Exploring Operation: 50+56=106, Resulting Numbers: [106]
106,57 unequal: No Solution
Exploring Operation: 56-50=6, Resulting Numbers: [6]
6,57 unequal: No Solution
Exploring Operation: 50*56=2800, Resulting Numbers: [2800]
2800,57 unequal: No Solution
No 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: 57:[24, 30], Operations: ['91-67=24', '80-50=30']
Exploring Operation: 24*30=720, Resulting Numbers: [720]
720,57 unequal: No Solution
Exploring Operation: 30-24=6, Resulting Numbers: [6]
6,57 unequal: No Solution
Exploring Operation: 24+30=54, Resulting Numbers: [54]
54,57 unequal: No Solution
No 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: 57:[80, 26], Operations: ['91-67=24', '50-24=26']
Exploring Operation: 80*26=2080, Resulting Numbers: [2080]
2080,57 unequal: No Solution
Exploring Operation: 80-26=54, Resulting Numbers: [54]
54,57 unequal: No Solution
Exploring Operation: 80+26=106, Resulting Numbers: [106]
106,57 unequal: No Solution
No 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: 57:[80, 74], Operations: ['91-67=24', '50+24=74']
Exploring Operation: 80-74=6, Resulting Numbers: [6]
6,57 unequal: No Solution
Exploring Operation: 80*74=5920, Resulting Numbers: [5920]
5920,57 unequal: No Solution
Exploring Operation: 80+74=154, Resulting Numbers: [154]
154,57 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: 57:[50, 91, 13], Operations: ['80-67=13']
Exploring Operation: 91/13=7, Resulting Numbers: [50, 7]
Generated Node #0,0,0: 57:[50, 7] Operation: 91/13=7
Exploring Operation: 91-13=78, Resulting Numbers: [50, 78]
Generated Node #0,0,1: 57:[50, 78] Operation: 91-13=78
Exploring Operation: 91-50=41, Resulting Numbers: [13, 41]
Generated Node #0,0,2: 57:[13, 41] Operation: 91-50=41
Exploring Operation: 50+13=63, Resulting Numbers: [91, 63]
Generated Node #0,0,3: 57:[91, 63] Operation: 50+13=63
Moving to Node #0,1
Current State: 57:[80, 67, 41], Operations: ['91-50=41']
Exploring Operation: 80+41=121, Resulting Numbers: [67, 121]
Generated Node #0,1,0: 57:[67, 121] Operation: 80+41=121
Exploring Operation: 67-41=26, Resulting Numbers: [80, 26]
Generated Node #0,1,1: 57:[80, 26] Operation: 67-41=26
Exploring Operation: 80-67=13, Resulting Numbers: [41, 13]
Generated Node #0,1,2: 57:[41, 13] Operation: 80-67=13
Exploring Operation: 80-41=39, Resulting Numbers: [67, 39]
Generated Node #0,1,3: 57:[67, 39] Operation: 80-41=39
Moving to Node #0,2,3
Current State: 57:[50, 56], Operations: ['91-80=11', '67-11=56']
Exploring Operation: 50+56=106, Resulting Numbers: [106]
106,57 unequal: No Solution
Exploring Operation: 56-50=6, Resulting Numbers: [6]
6,57 unequal: No Solution
Exploring Operation: 50*56=2800, Resulting Numbers: [2800]
2800,57 unequal: No Solution
Moving to Node #0,2,2
Current State: 57:[11, 17], Operations: ['91-80=11', '67-50=17']
Exploring Operation: 11*17=187, Resulting Numbers: [187]
187,57 unequal: No Solution
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,57 unequal: No Solution
Exploring Operation: 11+17=28, Resulting Numbers: [28]
28,57 unequal: No Solution
Moving to Node #0,0,0
Current State: 57:[50, 7], Operations: ['80-67=13', '91/13=7']
Exploring Operation: 50*7=350, Resulting Numbers: [350]
350,57 unequal: No Solution
Exploring Operation: 50-7=43, Resulting Numbers: [43]
43,57 unequal: No Solution
Exploring Operation: 50+7=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[80, 50, 91, 67], Operations: []
Exploring Operation: 80-67=13, Resulting Numbers: [50, 91, 13]
Generated Node #0,0: 57:[50, 91, 13] Operation: 80-67=13
Moving to Node #0,0
Current State: 57:[50, 91, 13], Operations: ['80-67=13']
Exploring Operation: 91/13=7, Resulting Numbers: [50, 7]
Generated Node #0,0,0: 57:[50, 7] Operation: 91/13=7
Moving to Node #0,0,0
Current State: 57:[50, 7], Operations: ['80-67=13', '91/13=7']
Exploring Operation: 50+7=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 0.960938
|
hs_4
|
mult_heuristic
|
[
24,
98,
97,
23
] | 74
|
[
"24*97=2328",
"98*23=2254",
"2328-2254=74"
] |
Current State: 74:[24, 98, 97, 23], Operations: []
Exploring Operation: 24*97=2328, Resulting Numbers: [98, 23, 2328]
Generated Node #2: [98, 23, 2328] from Operation: 24*97=2328
Current State: 74:[98, 23, 2328], Operations: ['24*97=2328']
Exploring Operation: 98*23=2254, Resulting Numbers: [2328, 2254]
Generated Node #3: [2328, 2254] from Operation: 98*23=2254
Current State: 74:[2328, 2254], Operations: ['24*97=2328', '98*23=2254']
Exploring Operation: 2328-2254=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4
|
Current State: 74:[24, 98, 97, 23], Operations: []
Exploring Operation: 97-24=73, Resulting Numbers: [98, 23, 73]
Generated Node #0,0: 74:[98, 23, 73] Operation: 97-24=73
Exploring Operation: 98-24=74, Resulting Numbers: [97, 23, 74]
Generated Node #0,1: 74:[97, 23, 74] Operation: 98-24=74
Exploring Operation: 97-23=74, Resulting Numbers: [24, 98, 74]
Generated Node #0,2: 74:[24, 98, 74] Operation: 97-23=74
Exploring Operation: 98-97=1, Resulting Numbers: [24, 23, 1]
Generated Node #0,3: 74:[24, 23, 1] Operation: 98-97=1
Exploring Operation: 98-23=75, Resulting Numbers: [24, 97, 75]
Generated Node #0,4: 74:[24, 97, 75] Operation: 98-23=75
Start Sub Search at level 1: Moving to Node #0,3
Current State: 74:[24, 23, 1], Operations: ['98-97=1']
Exploring Operation: 24+1=25, Resulting Numbers: [23, 25]
Generated Node #0,3,0: 74:[23, 25] Operation: 24+1=25
Exploring Operation: 24+23=47, Resulting Numbers: [1, 47]
Generated Node #0,3,1: 74:[1, 47] Operation: 24+23=47
Exploring Operation: 23+1=24, Resulting Numbers: [24, 24]
Generated Node #0,3,2: 74:[24, 24] Operation: 23+1=24
Exploring Operation: 24*1=24, Resulting Numbers: [23, 24]
Generated Node #0,3,3: 74:[23, 24] Operation: 24*1=24
Exploring Operation: 24-23=1, Resulting Numbers: [1, 1]
Generated Node #0,3,4: 74:[1, 1] Operation: 24-23=1
Moving to Node #0,3,4
Current State: 74:[1, 1], Operations: ['98-97=1', '24-23=1']
Exploring Operation: 1*1=1, Resulting Numbers: [1]
1,74 unequal: No Solution
Exploring Operation: 1/1=1, Resulting Numbers: [1]
1,74 unequal: No Solution
Exploring Operation: 1-1=0, Resulting Numbers: [0]
0,74 unequal: No Solution
Exploring Operation: 1+1=2, Resulting Numbers: [2]
2,74 unequal: No Solution
Moving to Node #0,3,1
Current State: 74:[1, 47], Operations: ['98-97=1', '24+23=47']
Exploring Operation: 1*47=47, Resulting Numbers: [47]
47,74 unequal: No Solution
Exploring Operation: 47/1=47, Resulting Numbers: [47]
47,74 unequal: No Solution
Exploring Operation: 1+47=48, Resulting Numbers: [48]
48,74 unequal: No Solution
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,74 unequal: No Solution
Moving to Node #0,3,0
Current State: 74:[23, 25], Operations: ['98-97=1', '24+1=25']
Exploring Operation: 23*25=575, Resulting Numbers: [575]
575,74 unequal: No Solution
Exploring Operation: 25-23=2, Resulting Numbers: [2]
2,74 unequal: No Solution
Exploring Operation: 23+25=48, Resulting Numbers: [48]
48,74 unequal: No Solution
Moving to Node #0,3,2
Current State: 74:[24, 24], Operations: ['98-97=1', '23+1=24']
Exploring Operation: 24/24=1, Resulting Numbers: [1]
1,74 unequal: No Solution
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,74 unequal: No Solution
Exploring Operation: 24*24=576, Resulting Numbers: [576]
576,74 unequal: No Solution
Exploring Operation: 24-24=0, Resulting Numbers: [0]
0,74 unequal: No Solution
Moving to Node #0,3,3
Current State: 74:[23, 24], Operations: ['98-97=1', '24*1=24']
Exploring Operation: 23+24=47, Resulting Numbers: [47]
47,74 unequal: No Solution
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,74 unequal: No Solution
Exploring Operation: 23*24=552, Resulting Numbers: [552]
552,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[97, 23, 74], Operations: ['98-24=74']
Exploring Operation: 97-74=23, Resulting Numbers: [23, 23]
Generated Node #0,1,0: 74:[23, 23] Operation: 97-74=23
Exploring Operation: 23+74=97, Resulting Numbers: [97, 97]
Generated Node #0,1,1: 74:[97, 97] Operation: 23+74=97
Exploring Operation: 97+23=120, Resulting Numbers: [74, 120]
Generated Node #0,1,2: 74:[74, 120] Operation: 97+23=120
Exploring Operation: 97-23=74, Resulting Numbers: [74, 74]
Generated Node #0,1,3: 74:[74, 74] Operation: 97-23=74
Exploring Operation: 74-23=51, Resulting Numbers: [97, 51]
Generated Node #0,1,4: 74:[97, 51] Operation: 74-23=51
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 74:[74, 74], Operations: ['98-24=74', '97-23=74']
Exploring Operation: 74+74=148, Resulting Numbers: [148]
148,74 unequal: No Solution
Exploring Operation: 74*74=5476, Resulting Numbers: [5476]
5476,74 unequal: No Solution
Exploring Operation: 74-74=0, Resulting Numbers: [0]
0,74 unequal: No Solution
Exploring Operation: 74/74=1, Resulting Numbers: [1]
1,74 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:[23, 23], Operations: ['98-24=74', '97-74=23']
Exploring Operation: 23*23=529, Resulting Numbers: [529]
529,74 unequal: No Solution
Exploring Operation: 23-23=0, Resulting Numbers: [0]
0,74 unequal: No Solution
Exploring Operation: 23+23=46, Resulting Numbers: [46]
46,74 unequal: No Solution
Exploring Operation: 23/23=1, Resulting Numbers: [1]
1,74 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 #0,1,4
Current State: 74:[97, 51], Operations: ['98-24=74', '74-23=51']
Exploring Operation: 97-51=46, Resulting Numbers: [46]
46,74 unequal: No Solution
Exploring Operation: 97+51=148, Resulting Numbers: [148]
148,74 unequal: No Solution
Exploring Operation: 97*51=4947, Resulting Numbers: [4947]
4947,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 74:[97, 97], Operations: ['98-24=74', '23+74=97']
Exploring Operation: 97-97=0, Resulting Numbers: [0]
0,74 unequal: No Solution
Exploring Operation: 97*97=9409, Resulting Numbers: [9409]
9409,74 unequal: No Solution
Exploring Operation: 97/97=1, Resulting Numbers: [1]
1,74 unequal: No Solution
Exploring Operation: 97+97=194, Resulting Numbers: [194]
194,74 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:[74, 120], Operations: ['98-24=74', '97+23=120']
Exploring Operation: 74*120=8880, Resulting Numbers: [8880]
8880,74 unequal: No Solution
Exploring Operation: 74+120=194, Resulting Numbers: [194]
194,74 unequal: No Solution
Exploring Operation: 120-74=46, Resulting Numbers: [46]
46,74 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, 98, 74], Operations: ['97-23=74']
Exploring Operation: 24+98=122, Resulting Numbers: [74, 122]
Generated Node #0,2,0: 74:[74, 122] Operation: 24+98=122
Exploring Operation: 98-24=74, Resulting Numbers: [74, 74]
Generated Node #0,2,1: 74:[74, 74] Operation: 98-24=74
Exploring Operation: 74-24=50, Resulting Numbers: [98, 50]
Generated Node #0,2,2: 74:[98, 50] Operation: 74-24=50
Exploring Operation: 98-74=24, Resulting Numbers: [24, 24]
Generated Node #0,2,3: 74:[24, 24] Operation: 98-74=24
Exploring Operation: 24+74=98, Resulting Numbers: [98, 98]
Generated Node #0,2,4: 74:[98, 98] Operation: 24+74=98
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 74:[74, 74], Operations: ['97-23=74', '98-24=74']
Exploring Operation: 74*74=5476, Resulting Numbers: [5476]
5476,74 unequal: No Solution
Exploring Operation: 74-74=0, Resulting Numbers: [0]
0,74 unequal: No Solution
Exploring Operation: 74/74=1, Resulting Numbers: [1]
1,74 unequal: No Solution
Exploring Operation: 74+74=148, Resulting Numbers: [148]
148,74 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 #0,2,3
Current State: 74:[24, 24], Operations: ['97-23=74', '98-74=24']
Exploring Operation: 24*24=576, Resulting Numbers: [576]
576,74 unequal: No Solution
Exploring Operation: 24/24=1, Resulting Numbers: [1]
1,74 unequal: No Solution
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,74 unequal: No Solution
Exploring Operation: 24-24=0, Resulting Numbers: [0]
0,74 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 #0,2,2
Current State: 74:[98, 50], Operations: ['97-23=74', '74-24=50']
Exploring Operation: 98+50=148, Resulting Numbers: [148]
148,74 unequal: No Solution
Exploring Operation: 98*50=4900, Resulting Numbers: [4900]
4900,74 unequal: No Solution
Exploring Operation: 98-50=48, Resulting Numbers: [48]
48,74 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 #0,2,0
Current State: 74:[74, 122], Operations: ['97-23=74', '24+98=122']
Exploring Operation: 74*122=9028, Resulting Numbers: [9028]
9028,74 unequal: No Solution
Exploring Operation: 74+122=196, Resulting Numbers: [196]
196,74 unequal: No Solution
Exploring Operation: 122-74=48, Resulting Numbers: [48]
48,74 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 #0,2,4
Current State: 74:[98, 98], Operations: ['97-23=74', '24+74=98']
Exploring Operation: 98-98=0, Resulting Numbers: [0]
0,74 unequal: No Solution
Exploring Operation: 98/98=1, Resulting Numbers: [1]
1,74 unequal: No Solution
Exploring Operation: 98+98=196, Resulting Numbers: [196]
196,74 unequal: No Solution
Exploring Operation: 98*98=9604, Resulting Numbers: [9604]
9604,74 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 #0,4
Current State: 74:[24, 97, 75], Operations: ['98-23=75']
Exploring Operation: 24+97=121, Resulting Numbers: [75, 121]
Generated Node #0,4,0: 74:[75, 121] Operation: 24+97=121
Exploring Operation: 75-24=51, Resulting Numbers: [97, 51]
Generated Node #0,4,1: 74:[97, 51] Operation: 75-24=51
Exploring Operation: 97-24=73, Resulting Numbers: [75, 73]
Generated Node #0,4,2: 74:[75, 73] Operation: 97-24=73
Exploring Operation: 97-75=22, Resulting Numbers: [24, 22]
Generated Node #0,4,3: 74:[24, 22] Operation: 97-75=22
Exploring Operation: 24+75=99, Resulting Numbers: [97, 99]
Generated Node #0,4,4: 74:[97, 99] Operation: 24+75=99
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 74:[75, 73], Operations: ['98-23=75', '97-24=73']
Exploring Operation: 75-73=2, Resulting Numbers: [2]
2,74 unequal: No Solution
Exploring Operation: 75+73=148, Resulting Numbers: [148]
148,74 unequal: No Solution
Exploring Operation: 75*73=5475, Resulting Numbers: [5475]
5475,74 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 #0,4,3
Current State: 74:[24, 22], Operations: ['98-23=75', '97-75=22']
Exploring Operation: 24*22=528, Resulting Numbers: [528]
528,74 unequal: No Solution
Exploring Operation: 24+22=46, Resulting Numbers: [46]
46,74 unequal: No Solution
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,74 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 #0,4,1
Current State: 74:[97, 51], Operations: ['98-23=75', '75-24=51']
Exploring Operation: 97*51=4947, Resulting Numbers: [4947]
4947,74 unequal: No Solution
Exploring Operation: 97+51=148, Resulting Numbers: [148]
148,74 unequal: No Solution
Exploring Operation: 97-51=46, Resulting Numbers: [46]
46,74 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 #0,4,0
Current State: 74:[75, 121], Operations: ['98-23=75', '24+97=121']
Exploring Operation: 75+121=196, Resulting Numbers: [196]
196,74 unequal: No Solution
Exploring Operation: 75*121=9075, Resulting Numbers: [9075]
9075,74 unequal: No Solution
Exploring Operation: 121-75=46, Resulting Numbers: [46]
46,74 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 #0,4,4
Current State: 74:[97, 99], Operations: ['98-23=75', '24+75=99']
Exploring Operation: 97*99=9603, Resulting Numbers: [9603]
9603,74 unequal: No Solution
Exploring Operation: 99-97=2, Resulting Numbers: [2]
2,74 unequal: No Solution
Exploring Operation: 97+99=196, Resulting Numbers: [196]
196,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[98, 23, 73], Operations: ['97-24=73']
Exploring Operation: 23+73=96, Resulting Numbers: [98, 96]
Generated Node #0,0,0: 74:[98, 96] Operation: 23+73=96
Exploring Operation: 73-23=50, Resulting Numbers: [98, 50]
Generated Node #0,0,1: 74:[98, 50] Operation: 73-23=50
Exploring Operation: 98-23=75, Resulting Numbers: [73, 75]
Generated Node #0,0,2: 74:[73, 75] Operation: 98-23=75
Exploring Operation: 98-73=25, Resulting Numbers: [23, 25]
Generated Node #0,0,3: 74:[23, 25] Operation: 98-73=25
Exploring Operation: 98+23=121, Resulting Numbers: [73, 121]
Generated Node #0,0,4: 74:[73, 121] Operation: 98+23=121
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 74:[73, 75], Operations: ['97-24=73', '98-23=75']
Exploring Operation: 75-73=2, Resulting Numbers: [2]
2,74 unequal: No Solution
Exploring Operation: 73+75=148, Resulting Numbers: [148]
148,74 unequal: No Solution
Exploring Operation: 73*75=5475, Resulting Numbers: [5475]
5475,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 74:[23, 25], Operations: ['97-24=73', '98-73=25']
Exploring Operation: 23*25=575, Resulting Numbers: [575]
575,74 unequal: No Solution
Exploring Operation: 25-23=2, Resulting Numbers: [2]
2,74 unequal: No Solution
Exploring Operation: 23+25=48, Resulting Numbers: [48]
48,74 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:[98, 50], Operations: ['97-24=73', '73-23=50']
Exploring Operation: 98*50=4900, Resulting Numbers: [4900]
4900,74 unequal: No Solution
Exploring Operation: 98+50=148, Resulting Numbers: [148]
148,74 unequal: No Solution
Exploring Operation: 98-50=48, Resulting Numbers: [48]
48,74 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:[98, 96], Operations: ['97-24=73', '23+73=96']
Exploring Operation: 98*96=9408, Resulting Numbers: [9408]
9408,74 unequal: No Solution
Exploring Operation: 98+96=194, Resulting Numbers: [194]
194,74 unequal: No Solution
Exploring Operation: 98-96=2, Resulting Numbers: [2]
2,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 74:[73, 121], Operations: ['97-24=73', '98+23=121']
Exploring Operation: 121-73=48, Resulting Numbers: [48]
48,74 unequal: No Solution
Exploring Operation: 73+121=194, Resulting Numbers: [194]
194,74 unequal: No Solution
Exploring Operation: 73*121=8833, Resulting Numbers: [8833]
8833,74 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
No solution found.
| 0
|
hs_5
|
sum_heuristic
|
[
69,
22,
13,
79
] | 86
|
[
"69+22=91",
"91/13=7",
"79+7=86"
] |
Current State: 86:[69, 22, 13, 79], Operations: []
Exploring Operation: 69+22=91, Resulting Numbers: [13, 79, 91]
Generated Node #2: [13, 79, 91] from Operation: 69+22=91
Current State: 86:[13, 79, 91], Operations: ['69+22=91']
Exploring Operation: 91/13=7, Resulting Numbers: [79, 7]
Generated Node #3: [79, 7] from Operation: 91/13=7
Current State: 86:[79, 7], Operations: ['69+22=91', '91/13=7']
Exploring Operation: 79+7=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
Current State: 86:[69, 22, 13, 79], Operations: []
Exploring Operation: 69-22=47, Resulting Numbers: [13, 79, 47]
Generated Node #0,0: 86:[13, 79, 47] Operation: 69-22=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[13, 79, 47], Operations: ['69-22=47']
Exploring Operation: 13+79=92, Resulting Numbers: [47, 92]
Generated Node #0,0,0: 86:[47, 92] Operation: 13+79=92
Moving to Node #0,0,0
Current State: 86:[47, 92], Operations: ['69-22=47', '13+79=92']
Exploring Operation: 92-47=45, Resulting Numbers: [45]
45,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
13,
11,
34,
54
] | 18
|
[
"13-11=2",
"54-34=20",
"20-2=18"
] |
Current State: 18:[13, 11, 34, 54], Operations: []
Exploring Operation: 13-11=2, Resulting Numbers: [34, 54, 2]
Generated Node #2: [34, 54, 2] from Operation: 13-11=2
Current State: 18:[34, 54, 2], Operations: ['13-11=2']
Exploring Operation: 54-34=20, Resulting Numbers: [2, 20]
Generated Node #3: [2, 20] from Operation: 54-34=20
Current State: 18:[2, 20], Operations: ['13-11=2', '54-34=20']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4
|
Current State: 18:[13, 11, 34, 54], Operations: []
Exploring Operation: 34-13=21, Resulting Numbers: [11, 54, 21]
Generated Node #0,0: 18:[11, 54, 21] Operation: 34-13=21
Exploring Operation: 54-34=20, Resulting Numbers: [13, 11, 20]
Generated Node #0,1: 18:[13, 11, 20] Operation: 54-34=20
Start Sub Search at level 1: Moving to Node #0,1
Current State: 18:[13, 11, 20], Operations: ['54-34=20']
Exploring Operation: 13-11=2, Resulting Numbers: [20, 2]
Generated Node #0,1,0: 18:[20, 2] Operation: 13-11=2
Exploring Operation: 20-13=7, Resulting Numbers: [11, 7]
Generated Node #0,1,1: 18:[11, 7] Operation: 20-13=7
Moving to Node #0,1,0
Current State: 18:[20, 2], Operations: ['54-34=20', '13-11=2']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[13, 11, 34, 54], Operations: []
Exploring Operation: 54-34=20, Resulting Numbers: [13, 11, 20]
Generated Node #0,1: 18:[13, 11, 20] Operation: 54-34=20
Moving to Node #0,1
Current State: 18:[13, 11, 20], Operations: ['54-34=20']
Exploring Operation: 13-11=2, Resulting Numbers: [20, 2]
Generated Node #0,1,0: 18:[20, 2] Operation: 13-11=2
Moving to Node #0,1,0
Current State: 18:[20, 2], Operations: ['54-34=20', '13-11=2']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188
|
hs_2
|
sum_heuristic
|
[
2,
22,
40,
19
] | 11
|
[
"40-2=38",
"22*19=418",
"418/38=11"
] |
Current State: 11:[2, 22, 40, 19], Operations: []
Exploring Operation: 40-2=38, Resulting Numbers: [22, 19, 38]
Generated Node #2: [22, 19, 38] from Operation: 40-2=38
Current State: 11:[22, 19, 38], Operations: ['40-2=38']
Exploring Operation: 22*19=418, Resulting Numbers: [38, 418]
Generated Node #3: [38, 418] from Operation: 22*19=418
Current State: 11:[38, 418], Operations: ['40-2=38', '22*19=418']
Exploring Operation: 418/38=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4
|
Current State: 11:[2, 22, 40, 19], Operations: []
Exploring Operation: 40-19=21, Resulting Numbers: [2, 22, 21]
Generated Node #0,0: 11:[2, 22, 21] Operation: 40-19=21
Exploring Operation: 22-2=20, Resulting Numbers: [40, 19, 20]
Generated Node #0,1: 11:[40, 19, 20] Operation: 22-2=20
Exploring Operation: 22/2=11, Resulting Numbers: [40, 19, 11]
Generated Node #0,2: 11:[40, 19, 11] Operation: 22/2=11
Exploring Operation: 40/2=20, Resulting Numbers: [22, 19, 20]
Generated Node #0,3: 11:[22, 19, 20] Operation: 40/2=20
Exploring Operation: 40-22=18, Resulting Numbers: [2, 19, 18]
Generated Node #0,4: 11:[2, 19, 18] Operation: 40-22=18
Moving to Node #0,4
Current State: 11:[2, 19, 18], Operations: ['40-22=18']
Exploring Operation: 2+19=21, Resulting Numbers: [18, 21]
Generated Node #0,4,0: 11:[18, 21] Operation: 2+19=21
Exploring Operation: 2+18=20, Resulting Numbers: [19, 20]
Generated Node #0,4,1: 11:[19, 20] Operation: 2+18=20
Exploring Operation: 18-2=16, Resulting Numbers: [19, 16]
Generated Node #0,4,2: 11:[19, 16] Operation: 18-2=16
Exploring Operation: 19-2=17, Resulting Numbers: [18, 17]
Generated Node #0,4,3: 11:[18, 17] Operation: 19-2=17
Exploring Operation: 18/2=9, Resulting Numbers: [19, 9]
Generated Node #0,4,4: 11:[19, 9] Operation: 18/2=9
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 11:[19, 9], Operations: ['40-22=18', '18/2=9']
Exploring Operation: 19*9=171, Resulting Numbers: [171]
171,11 unequal: No Solution
Exploring Operation: 19+9=28, Resulting Numbers: [28]
28,11 unequal: No Solution
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,11 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 #0,4,2
Current State: 11:[19, 16], Operations: ['40-22=18', '18-2=16']
Exploring Operation: 19+16=35, Resulting Numbers: [35]
35,11 unequal: No Solution
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Exploring Operation: 19*16=304, Resulting Numbers: [304]
304,11 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 #0,4,3
Current State: 11:[18, 17], Operations: ['40-22=18', '19-2=17']
Exploring Operation: 18+17=35, Resulting Numbers: [35]
35,11 unequal: No Solution
Exploring Operation: 18-17=1, Resulting Numbers: [1]
1,11 unequal: No Solution
Exploring Operation: 18*17=306, Resulting Numbers: [306]
306,11 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 #0,4,0
Current State: 11:[18, 21], Operations: ['40-22=18', '2+19=21']
Exploring Operation: 18+21=39, Resulting Numbers: [39]
39,11 unequal: No Solution
Exploring Operation: 18*21=378, Resulting Numbers: [378]
378,11 unequal: No Solution
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,11 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 #0,4,1
Current State: 11:[19, 20], Operations: ['40-22=18', '2+18=20']
Exploring Operation: 19*20=380, Resulting Numbers: [380]
380,11 unequal: No Solution
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,11 unequal: No Solution
Exploring Operation: 19+20=39, Resulting Numbers: [39]
39,11 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: 11:[22, 19, 20], Operations: ['40/2=20']
Exploring Operation: 22+19=41, Resulting Numbers: [20, 41]
Generated Node #0,3,0: 11:[20, 41] Operation: 22+19=41
Exploring Operation: 22+20=42, Resulting Numbers: [19, 42]
Generated Node #0,3,1: 11:[19, 42] Operation: 22+20=42
Exploring Operation: 22-20=2, Resulting Numbers: [19, 2]
Generated Node #0,3,2: 11:[19, 2] Operation: 22-20=2
Exploring Operation: 22-19=3, Resulting Numbers: [20, 3]
Generated Node #0,3,3: 11:[20, 3] Operation: 22-19=3
Exploring Operation: 20-19=1, Resulting Numbers: [22, 1]
Generated Node #0,3,4: 11:[22, 1] Operation: 20-19=1
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 11:[19, 2], Operations: ['40/2=20', '22-20=2']
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,11 unequal: No Solution
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,11 unequal: No Solution
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,11 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 #0,3,3
Current State: 11:[20, 3], Operations: ['40/2=20', '22-19=3']
Exploring Operation: 20*3=60, Resulting Numbers: [60]
60,11 unequal: No Solution
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,11 unequal: No Solution
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,11 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 #0,3,4
Current State: 11:[22, 1], Operations: ['40/2=20', '20-19=1']
Exploring Operation: 22+1=23, Resulting Numbers: [23]
23,11 unequal: No Solution
Exploring Operation: 22/1=22, Resulting Numbers: [22]
22,11 unequal: No Solution
Exploring Operation: 22*1=22, Resulting Numbers: [22]
22,11 unequal: No Solution
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,11 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 #0,3,0
Current State: 11:[20, 41], Operations: ['40/2=20', '22+19=41']
Exploring Operation: 41-20=21, Resulting Numbers: [21]
21,11 unequal: No Solution
Exploring Operation: 20*41=820, Resulting Numbers: [820]
820,11 unequal: No Solution
Exploring Operation: 20+41=61, Resulting Numbers: [61]
61,11 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 #0,3,1
Current State: 11:[19, 42], Operations: ['40/2=20', '22+20=42']
Exploring Operation: 19+42=61, Resulting Numbers: [61]
61,11 unequal: No Solution
Exploring Operation: 42-19=23, Resulting Numbers: [23]
23,11 unequal: No Solution
Exploring Operation: 19*42=798, Resulting Numbers: [798]
798,11 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: 11:[2, 22, 21], Operations: ['40-19=21']
Exploring Operation: 22/2=11, Resulting Numbers: [21, 11]
Generated Node #0,0,0: 11:[21, 11] Operation: 22/2=11
Exploring Operation: 22-21=1, Resulting Numbers: [2, 1]
Generated Node #0,0,1: 11:[2, 1] Operation: 22-21=1
Exploring Operation: 21-2=19, Resulting Numbers: [22, 19]
Generated Node #0,0,2: 11:[22, 19] Operation: 21-2=19
Exploring Operation: 22-2=20, Resulting Numbers: [21, 20]
Generated Node #0,0,3: 11:[21, 20] Operation: 22-2=20
Exploring Operation: 2+22=24, Resulting Numbers: [21, 24]
Generated Node #0,0,4: 11:[21, 24] Operation: 2+22=24
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 11:[21, 11], Operations: ['40-19=21', '22/2=11']
Exploring Operation: 21-11=10, Resulting Numbers: [10]
10,11 unequal: No Solution
Exploring Operation: 21*11=231, Resulting Numbers: [231]
231,11 unequal: No Solution
Exploring Operation: 21+11=32, Resulting Numbers: [32]
32,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 11:[2, 1], Operations: ['40-19=21', '22-21=1']
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,11 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 11:[22, 19], Operations: ['40-19=21', '21-2=19']
Exploring Operation: 22*19=418, Resulting Numbers: [418]
418,11 unequal: No Solution
Exploring Operation: 22-19=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Exploring Operation: 22+19=41, Resulting Numbers: [41]
41,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 11:[21, 20], Operations: ['40-19=21', '22-2=20']
Exploring Operation: 21*20=420, Resulting Numbers: [420]
420,11 unequal: No Solution
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,11 unequal: No Solution
Exploring Operation: 21+20=41, Resulting Numbers: [41]
41,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 11:[21, 24], Operations: ['40-19=21', '2+22=24']
Exploring Operation: 21+24=45, Resulting Numbers: [45]
45,11 unequal: No Solution
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Exploring Operation: 21*24=504, Resulting Numbers: [504]
504,11 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: 11:[40, 19, 11], Operations: ['22/2=11']
Exploring Operation: 40+19=59, Resulting Numbers: [11, 59]
Generated Node #0,2,0: 11:[11, 59] Operation: 40+19=59
Exploring Operation: 19-11=8, Resulting Numbers: [40, 8]
Generated Node #0,2,1: 11:[40, 8] Operation: 19-11=8
Exploring Operation: 40+11=51, Resulting Numbers: [19, 51]
Generated Node #0,2,2: 11:[19, 51] Operation: 40+11=51
Exploring Operation: 40-19=21, Resulting Numbers: [11, 21]
Generated Node #0,2,3: 11:[11, 21] Operation: 40-19=21
Exploring Operation: 40-11=29, Resulting Numbers: [19, 29]
Generated Node #0,2,4: 11:[19, 29] Operation: 40-11=29
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 11:[11, 21], Operations: ['22/2=11', '40-19=21']
Exploring Operation: 11+21=32, Resulting Numbers: [32]
32,11 unequal: No Solution
Exploring Operation: 21-11=10, Resulting Numbers: [10]
10,11 unequal: No Solution
Exploring Operation: 11*21=231, Resulting Numbers: [231]
231,11 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 #0,2,4
Current State: 11:[19, 29], Operations: ['22/2=11', '40-11=29']
Exploring Operation: 19*29=551, Resulting Numbers: [551]
551,11 unequal: No Solution
Exploring Operation: 29-19=10, Resulting Numbers: [10]
10,11 unequal: No Solution
Exploring Operation: 19+29=48, Resulting Numbers: [48]
48,11 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 #0,2,1
Current State: 11:[40, 8], Operations: ['22/2=11', '19-11=8']
Exploring Operation: 40*8=320, Resulting Numbers: [320]
320,11 unequal: No Solution
Exploring Operation: 40/8=5, Resulting Numbers: [5]
5,11 unequal: No Solution
Exploring Operation: 40+8=48, Resulting Numbers: [48]
48,11 unequal: No Solution
Exploring Operation: 40-8=32, Resulting Numbers: [32]
32,11 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 #0,2,0
Current State: 11:[11, 59], Operations: ['22/2=11', '40+19=59']
Exploring Operation: 59-11=48, Resulting Numbers: [48]
48,11 unequal: No Solution
Exploring Operation: 11+59=70, Resulting Numbers: [70]
70,11 unequal: No Solution
Exploring Operation: 11*59=649, Resulting Numbers: [649]
649,11 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 #0,2,2
Current State: 11:[19, 51], Operations: ['22/2=11', '40+11=51']
Exploring Operation: 51-19=32, Resulting Numbers: [32]
32,11 unequal: No Solution
Exploring Operation: 19*51=969, Resulting Numbers: [969]
969,11 unequal: No Solution
Exploring Operation: 19+51=70, Resulting Numbers: [70]
70,11 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: 11:[40, 19, 20], Operations: ['22-2=20']
Exploring Operation: 20-19=1, Resulting Numbers: [40, 1]
Generated Node #0,1,0: 11:[40, 1] Operation: 20-19=1
Exploring Operation: 40-19=21, Resulting Numbers: [20, 21]
Generated Node #0,1,1: 11:[20, 21] Operation: 40-19=21
Exploring Operation: 40-20=20, Resulting Numbers: [19, 20]
Generated Node #0,1,2: 11:[19, 20] Operation: 40-20=20
Exploring Operation: 40/20=2, Resulting Numbers: [19, 2]
Generated Node #0,1,3: 11:[19, 2] Operation: 40/20=2
Exploring Operation: 40+19=59, Resulting Numbers: [20, 59]
Generated Node #0,1,4: 11:[20, 59] Operation: 40+19=59
Moving to Node #0,1,2
Current State: 11:[19, 20], Operations: ['22-2=20', '40-20=20']
Exploring Operation: 19+20=39, Resulting Numbers: [39]
39,11 unequal: No Solution
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,11 unequal: No Solution
Exploring Operation: 19*20=380, Resulting Numbers: [380]
380,11 unequal: No Solution
Moving to Node #0,1,3
Current State: 11:[19, 2], Operations: ['22-2=20', '40/20=2']
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,11 unequal: No Solution
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,11 unequal: No Solution
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,11 unequal: No Solution
Moving to Node #0,1,1
Current State: 11:[20, 21], Operations: ['22-2=20', '40-19=21']
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,11 unequal: No Solution
Exploring Operation: 20*21=420, Resulting Numbers: [420]
420,11 unequal: No Solution
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,11 unequal: No Solution
Moving to Node #0,1,0
Current State: 11:[40, 1], Operations: ['22-2=20', '20-19=1']
Exploring Operation: 40/1=40, Resulting Numbers: [40]
40,11 unequal: No Solution
Exploring Operation: 40*1=40, Resulting Numbers: [40]
40,11 unequal: No Solution
Exploring Operation: 40-1=39, Resulting Numbers: [39]
39,11 unequal: No Solution
Exploring Operation: 40+1=41, Resulting Numbers: [41]
41,11 unequal: No Solution
Moving to Node #0,1,4
Current State: 11:[20, 59], Operations: ['22-2=20', '40+19=59']
Exploring Operation: 20+59=79, Resulting Numbers: [79]
79,11 unequal: No Solution
Exploring Operation: 59-20=39, Resulting Numbers: [39]
39,11 unequal: No Solution
Exploring Operation: 20*59=1180, Resulting Numbers: [1180]
1180,11 unequal: No Solution
No solution found.
| 0
|
hs_5
|
sum_heuristic
|
[
28,
34,
3,
23
] | 87
|
[
"34-28=6",
"23+6=29",
"3*29=87"
] |
Current State: 87:[28, 34, 3, 23], Operations: []
Exploring Operation: 34-28=6, Resulting Numbers: [3, 23, 6]
Generated Node #2: [3, 23, 6] from Operation: 34-28=6
Current State: 87:[3, 23, 6], Operations: ['34-28=6']
Exploring Operation: 23+6=29, Resulting Numbers: [3, 29]
Generated Node #3: [3, 29] from Operation: 23+6=29
Current State: 87:[3, 29], Operations: ['34-28=6', '23+6=29']
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4
|
Current State: 87:[28, 34, 3, 23], Operations: []
Exploring Operation: 28-23=5, Resulting Numbers: [34, 3, 5]
Generated Node #0,0: 87:[34, 3, 5] Operation: 28-23=5
Exploring Operation: 34-28=6, Resulting Numbers: [3, 23, 6]
Generated Node #0,1: 87:[3, 23, 6] Operation: 34-28=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[34, 3, 5], Operations: ['28-23=5']
Exploring Operation: 34-5=29, Resulting Numbers: [3, 29]
Generated Node #0,0,0: 87:[3, 29] Operation: 34-5=29
Exploring Operation: 34-3=31, Resulting Numbers: [5, 31]
Generated Node #0,0,1: 87:[5, 31] Operation: 34-3=31
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 87:[3, 29], Operations: ['28-23=5', '34-5=29']
Exploring Operation: 3+29=32, Resulting Numbers: [32]
32,87 unequal: No Solution
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[28, 34, 3, 23], Operations: []
Exploring Operation: 28-23=5, Resulting Numbers: [34, 3, 5]
Generated Node #0,0: 87:[34, 3, 5] Operation: 28-23=5
Moving to Node #0,0
Current State: 87:[34, 3, 5], Operations: ['28-23=5']
Exploring Operation: 34-5=29, Resulting Numbers: [3, 29]
Generated Node #0,0,0: 87:[3, 29] Operation: 34-5=29
Moving to Node #0,0,0
Current State: 87:[3, 29], Operations: ['28-23=5', '34-5=29']
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319
|
hs_2
|
mult_heuristic
|
[
76,
21,
75,
73
] | 53
|
[
"76-21=55",
"75-73=2",
"55-2=53"
] |
Current State: 53:[76, 21, 75, 73], Operations: []
Exploring Operation: 76-21=55, Resulting Numbers: [75, 73, 55]
Generated Node #2: [75, 73, 55] from Operation: 76-21=55
Current State: 53:[75, 73, 55], Operations: ['76-21=55']
Exploring Operation: 75-73=2, Resulting Numbers: [55, 2]
Generated Node #3: [55, 2] from Operation: 75-73=2
Current State: 53:[55, 2], Operations: ['76-21=55', '75-73=2']
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4
|
Current State: 53:[76, 21, 75, 73], Operations: []
Exploring Operation: 76-21=55, Resulting Numbers: [75, 73, 55]
Generated Node #0,0: 53:[75, 73, 55] Operation: 76-21=55
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[75, 73, 55], Operations: ['76-21=55']
Exploring Operation: 75-73=2, Resulting Numbers: [55, 2]
Generated Node #0,0,0: 53:[55, 2] Operation: 75-73=2
Moving to Node #0,0,0
Current State: 53:[55, 2], Operations: ['76-21=55', '75-73=2']
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[76, 21, 75, 73], Operations: []
Exploring Operation: 76-21=55, Resulting Numbers: [75, 73, 55]
Generated Node #0,0: 53:[75, 73, 55] Operation: 76-21=55
Moving to Node #0,0
Current State: 53:[75, 73, 55], Operations: ['76-21=55']
Exploring Operation: 75-73=2, Resulting Numbers: [55, 2]
Generated Node #0,0,0: 53:[55, 2] Operation: 75-73=2
Moving to Node #0,0,0
Current State: 53:[55, 2], Operations: ['76-21=55', '75-73=2']
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
sum_heuristic
|
[
70,
37,
37,
44
] | 47
|
[
"44-37=7",
"70/7=10",
"37+10=47"
] |
Current State: 47:[70, 37, 37, 44], Operations: []
Exploring Operation: 44-37=7, Resulting Numbers: [70, 7]
Generated Node #2: [70, 7] from Operation: 44-37=7
Current State: 47:[70, 7], Operations: ['44-37=7']
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,47 equal: Goal Reached
Exploring Operation: 37+10=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4
|
Current State: 47:[70, 37, 37, 44], Operations: []
Exploring Operation: 37+44=81, Resulting Numbers: [70, 37, 81]
Generated Node #0,0: 47:[70, 37, 81] Operation: 37+44=81
Exploring Operation: 37+37=74, Resulting Numbers: [70, 44, 74]
Generated Node #0,1: 47:[70, 44, 74] Operation: 37+37=74
Exploring Operation: 70-37=33, Resulting Numbers: [37, 44, 33]
Generated Node #0,2: 47:[37, 44, 33] Operation: 70-37=33
Exploring Operation: 70-44=26, Resulting Numbers: [37, 37, 26]
Generated Node #0,3: 47:[37, 37, 26] Operation: 70-44=26
Exploring Operation: 70-37=33, Resulting Numbers: [37, 44, 33]
Generated Node #0,4: 47:[37, 44, 33] Operation: 70-37=33
Start Sub Search at level 1: Moving to Node #0,2
Current State: 47:[37, 44, 33], Operations: ['70-37=33']
Exploring Operation: 44-33=11, Resulting Numbers: [37, 11]
Generated Node #0,2,0: 47:[37, 11] Operation: 44-33=11
Exploring Operation: 37+33=70, Resulting Numbers: [44, 70]
Generated Node #0,2,1: 47:[44, 70] Operation: 37+33=70
Exploring Operation: 37-33=4, Resulting Numbers: [44, 4]
Generated Node #0,2,2: 47:[44, 4] Operation: 37-33=4
Exploring Operation: 44+33=77, Resulting Numbers: [37, 77]
Generated Node #0,2,3: 47:[37, 77] Operation: 44+33=77
Exploring Operation: 37+44=81, Resulting Numbers: [33, 81]
Generated Node #0,2,4: 47:[33, 81] Operation: 37+44=81
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 47:[44, 70], Operations: ['70-37=33', '37+33=70']
Exploring Operation: 70-44=26, Resulting Numbers: [26]
26,47 unequal: No Solution
Exploring Operation: 44+70=114, Resulting Numbers: [114]
114,47 unequal: No Solution
Exploring Operation: 44*70=3080, Resulting Numbers: [3080]
3080,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 47:[37, 77], Operations: ['70-37=33', '44+33=77']
Exploring Operation: 37*77=2849, Resulting Numbers: [2849]
2849,47 unequal: No Solution
Exploring Operation: 37+77=114, Resulting Numbers: [114]
114,47 unequal: No Solution
Exploring Operation: 77-37=40, Resulting Numbers: [40]
40,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 47:[37, 11], Operations: ['70-37=33', '44-33=11']
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,47 unequal: No Solution
Exploring Operation: 37*11=407, Resulting Numbers: [407]
407,47 unequal: No Solution
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 47:[44, 4], Operations: ['70-37=33', '37-33=4']
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,47 unequal: No Solution
Exploring Operation: 44*4=176, Resulting Numbers: [176]
176,47 unequal: No Solution
Exploring Operation: 44+4=48, Resulting Numbers: [48]
48,47 unequal: No Solution
Exploring Operation: 44-4=40, Resulting Numbers: [40]
40,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 47:[33, 81], Operations: ['70-37=33', '37+44=81']
Exploring Operation: 33+81=114, Resulting Numbers: [114]
114,47 unequal: No Solution
Exploring Operation: 33*81=2673, Resulting Numbers: [2673]
2673,47 unequal: No Solution
Exploring Operation: 81-33=48, Resulting Numbers: [48]
48,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 47:[37, 44, 33], Operations: ['70-37=33']
Exploring Operation: 37+44=81, Resulting Numbers: [33, 81]
Generated Node #0,4,0: 47:[33, 81] Operation: 37+44=81
Exploring Operation: 37+33=70, Resulting Numbers: [44, 70]
Generated Node #0,4,1: 47:[44, 70] Operation: 37+33=70
Exploring Operation: 44-33=11, Resulting Numbers: [37, 11]
Generated Node #0,4,2: 47:[37, 11] Operation: 44-33=11
Exploring Operation: 44+33=77, Resulting Numbers: [37, 77]
Generated Node #0,4,3: 47:[37, 77] Operation: 44+33=77
Exploring Operation: 37-33=4, Resulting Numbers: [44, 4]
Generated Node #0,4,4: 47:[44, 4] Operation: 37-33=4
Moving to Node #0,4,1
Current State: 47:[44, 70], Operations: ['70-37=33', '37+33=70']
Exploring Operation: 44+70=114, Resulting Numbers: [114]
114,47 unequal: No Solution
Exploring Operation: 44*70=3080, Resulting Numbers: [3080]
3080,47 unequal: No Solution
Exploring Operation: 70-44=26, Resulting Numbers: [26]
26,47 unequal: No Solution
Moving to Node #0,4,3
Current State: 47:[37, 77], Operations: ['70-37=33', '44+33=77']
Exploring Operation: 37+77=114, Resulting Numbers: [114]
114,47 unequal: No Solution
Exploring Operation: 37*77=2849, Resulting Numbers: [2849]
2849,47 unequal: No Solution
Exploring Operation: 77-37=40, Resulting Numbers: [40]
40,47 unequal: No Solution
Moving to Node #0,4,2
Current State: 47:[37, 11], Operations: ['70-37=33', '44-33=11']
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,47 unequal: No Solution
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,47 unequal: No Solution
Exploring Operation: 37*11=407, Resulting Numbers: [407]
407,47 unequal: No Solution
Moving to Node #0,4,4
Current State: 47:[44, 4], Operations: ['70-37=33', '37-33=4']
Exploring Operation: 44*4=176, Resulting Numbers: [176]
176,47 unequal: No Solution
Exploring Operation: 44-4=40, Resulting Numbers: [40]
40,47 unequal: No Solution
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,47 unequal: No Solution
Exploring Operation: 44+4=48, Resulting Numbers: [48]
48,47 unequal: No Solution
Moving to Node #0,4,0
Current State: 47:[33, 81], Operations: ['70-37=33', '37+44=81']
Exploring Operation: 33*81=2673, Resulting Numbers: [2673]
2673,47 unequal: No Solution
Exploring Operation: 81-33=48, Resulting Numbers: [48]
48,47 unequal: No Solution
Exploring Operation: 33+81=114, Resulting Numbers: [114]
114,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 47:[37, 37, 26], Operations: ['70-44=26']
Exploring Operation: 37+26=63, Resulting Numbers: [37, 63]
Generated Node #0,3,0: 47:[37, 63] Operation: 37+26=63
Exploring Operation: 37+37=74, Resulting Numbers: [26, 74]
Generated Node #0,3,1: 47:[26, 74] Operation: 37+37=74
Exploring Operation: 37-26=11, Resulting Numbers: [37, 11]
Generated Node #0,3,2: 47:[37, 11] Operation: 37-26=11
Exploring Operation: 37-26=11, Resulting Numbers: [37, 11]
Generated Node #0,3,3: 47:[37, 11] Operation: 37-26=11
Exploring Operation: 37+26=63, Resulting Numbers: [37, 63]
Generated Node #0,3,4: 47:[37, 63] Operation: 37+26=63
Moving to Node #0,3,0
Current State: 47:[37, 63], Operations: ['70-44=26', '37+26=63']
Exploring Operation: 37+63=100, Resulting Numbers: [100]
100,47 unequal: No Solution
Exploring Operation: 37*63=2331, Resulting Numbers: [2331]
2331,47 unequal: No Solution
Exploring Operation: 63-37=26, Resulting Numbers: [26]
26,47 unequal: No Solution
Moving to Node #0,3,4
Current State: 47:[37, 63], Operations: ['70-44=26', '37+26=63']
Exploring Operation: 37*63=2331, Resulting Numbers: [2331]
2331,47 unequal: No Solution
Exploring Operation: 37+63=100, Resulting Numbers: [100]
100,47 unequal: No Solution
Exploring Operation: 63-37=26, Resulting Numbers: [26]
26,47 unequal: No Solution
Moving to Node #0,3,2
Current State: 47:[37, 11], Operations: ['70-44=26', '37-26=11']
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,47 unequal: No Solution
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,47 unequal: No Solution
Exploring Operation: 37*11=407, Resulting Numbers: [407]
407,47 unequal: No Solution
Moving to Node #0,3,3
Current State: 47:[37, 11], Operations: ['70-44=26', '37-26=11']
Exploring Operation: 37*11=407, Resulting Numbers: [407]
407,47 unequal: No Solution
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,47 unequal: No Solution
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,47 unequal: No Solution
Moving to Node #0,3,1
Current State: 47:[26, 74], Operations: ['70-44=26', '37+37=74']
Exploring Operation: 26*74=1924, Resulting Numbers: [1924]
1924,47 unequal: No Solution
Exploring Operation: 26+74=100, Resulting Numbers: [100]
100,47 unequal: No Solution
Exploring Operation: 74-26=48, Resulting Numbers: [48]
48,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[70, 44, 74], Operations: ['37+37=74']
Exploring Operation: 70+44=114, Resulting Numbers: [74, 114]
Generated Node #0,1,0: 47:[74, 114] Operation: 70+44=114
Exploring Operation: 70-44=26, Resulting Numbers: [74, 26]
Generated Node #0,1,1: 47:[74, 26] Operation: 70-44=26
Exploring Operation: 74-70=4, Resulting Numbers: [44, 4]
Generated Node #0,1,2: 47:[44, 4] Operation: 74-70=4
Exploring Operation: 74-44=30, Resulting Numbers: [70, 30]
Generated Node #0,1,3: 47:[70, 30] Operation: 74-44=30
Exploring Operation: 44+74=118, Resulting Numbers: [70, 118]
Generated Node #0,1,4: 47:[70, 118] Operation: 44+74=118
Moving to Node #0,1,3
Current State: 47:[70, 30], Operations: ['37+37=74', '74-44=30']
Exploring Operation: 70-30=40, Resulting Numbers: [40]
40,47 unequal: No Solution
Exploring Operation: 70*30=2100, Resulting Numbers: [2100]
2100,47 unequal: No Solution
Exploring Operation: 70+30=100, Resulting Numbers: [100]
100,47 unequal: No Solution
Moving to Node #0,1,2
Current State: 47:[44, 4], Operations: ['37+37=74', '74-70=4']
Exploring Operation: 44*4=176, Resulting Numbers: [176]
176,47 unequal: No Solution
Exploring Operation: 44-4=40, Resulting Numbers: [40]
40,47 unequal: No Solution
Exploring Operation: 44+4=48, Resulting Numbers: [48]
48,47 unequal: No Solution
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,47 unequal: No Solution
Moving to Node #0,1,1
Current State: 47:[74, 26], Operations: ['37+37=74', '70-44=26']
Exploring Operation: 74+26=100, Resulting Numbers: [100]
100,47 unequal: No Solution
Exploring Operation: 74*26=1924, Resulting Numbers: [1924]
1924,47 unequal: No Solution
Exploring Operation: 74-26=48, Resulting Numbers: [48]
48,47 unequal: No Solution
Moving to Node #0,1,0
Current State: 47:[74, 114], Operations: ['37+37=74', '70+44=114']
Exploring Operation: 74*114=8436, Resulting Numbers: [8436]
8436,47 unequal: No Solution
Exploring Operation: 74+114=188, Resulting Numbers: [188]
188,47 unequal: No Solution
Exploring Operation: 114-74=40, Resulting Numbers: [40]
40,47 unequal: No Solution
Moving to Node #0,1,4
Current State: 47:[70, 118], Operations: ['37+37=74', '44+74=118']
Exploring Operation: 118-70=48, Resulting Numbers: [48]
48,47 unequal: No Solution
Exploring Operation: 70+118=188, Resulting Numbers: [188]
188,47 unequal: No Solution
Exploring Operation: 70*118=8260, Resulting Numbers: [8260]
8260,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[70, 37, 81], Operations: ['37+44=81']
Exploring Operation: 70-37=33, Resulting Numbers: [81, 33]
Generated Node #0,0,0: 47:[81, 33] Operation: 70-37=33
Exploring Operation: 37+81=118, Resulting Numbers: [70, 118]
Generated Node #0,0,1: 47:[70, 118] Operation: 37+81=118
Exploring Operation: 81-70=11, Resulting Numbers: [37, 11]
Generated Node #0,0,2: 47:[37, 11] Operation: 81-70=11
Exploring Operation: 70+37=107, Resulting Numbers: [81, 107]
Generated Node #0,0,3: 47:[81, 107] Operation: 70+37=107
Exploring Operation: 81-37=44, Resulting Numbers: [70, 44]
Generated Node #0,0,4: 47:[70, 44] Operation: 81-37=44
Moving to Node #0,0,4
Current State: 47:[70, 44], Operations: ['37+44=81', '81-37=44']
Exploring Operation: 70*44=3080, Resulting Numbers: [3080]
3080,47 unequal: No Solution
Exploring Operation: 70+44=114, Resulting Numbers: [114]
114,47 unequal: No Solution
Exploring Operation: 70-44=26, Resulting Numbers: [26]
26,47 unequal: No Solution
Moving to Node #0,0,2
Current State: 47:[37, 11], Operations: ['37+44=81', '81-70=11']
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,47 unequal: No Solution
Exploring Operation: 37*11=407, Resulting Numbers: [407]
407,47 unequal: No Solution
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,47 unequal: No Solution
Moving to Node #0,0,0
Current State: 47:[81, 33], Operations: ['37+44=81', '70-37=33']
Exploring Operation: 81*33=2673, Resulting Numbers: [2673]
2673,47 unequal: No Solution
Exploring Operation: 81-33=48, Resulting Numbers: [48]
48,47 unequal: No Solution
Exploring Operation: 81+33=114, Resulting Numbers: [114]
114,47 unequal: No Solution
Moving to Node #0,0,1
Current State: 47:[70, 118], Operations: ['37+44=81', '37+81=118']
Exploring Operation: 118-70=48, Resulting Numbers: [48]
48,47 unequal: No Solution
Exploring Operation: 70*118=8260, Resulting Numbers: [8260]
8260,47 unequal: No Solution
Exploring Operation: 70+118=188, Resulting Numbers: [188]
188,47 unequal: No Solution
Moving to Node #0,0,3
Current State: 47:[81, 107], Operations: ['37+44=81', '70+37=107']
Exploring Operation: 107-81=26, Resulting Numbers: [26]
26,47 unequal: No Solution
Exploring Operation: 81+107=188, Resulting Numbers: [188]
188,47 unequal: No Solution
Exploring Operation: 81*107=8667, Resulting Numbers: [8667]
8667,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_5
|
sum_heuristic
|
[
53,
68,
37,
63
] | 41
|
[
"68-53=15",
"63-37=26",
"15+26=41"
] |
Current State: 41:[53, 68, 37, 63], Operations: []
Exploring Operation: 68-53=15, Resulting Numbers: [37, 63, 15]
Generated Node #2: [37, 63, 15] from Operation: 68-53=15
Current State: 41:[37, 63, 15], Operations: ['68-53=15']
Exploring Operation: 63-37=26, Resulting Numbers: [15, 26]
Generated Node #3: [15, 26] from Operation: 63-37=26
Current State: 41:[15, 26], Operations: ['68-53=15', '63-37=26']
Exploring Operation: 15+26=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4
|
Current State: 41:[53, 68, 37, 63], Operations: []
Exploring Operation: 68-63=5, Resulting Numbers: [53, 37, 5]
Generated Node #0,0: 41:[53, 37, 5] Operation: 68-63=5
Exploring Operation: 68-53=15, Resulting Numbers: [37, 63, 15]
Generated Node #0,1: 41:[37, 63, 15] Operation: 68-53=15
Exploring Operation: 68-37=31, Resulting Numbers: [53, 63, 31]
Generated Node #0,2: 41:[53, 63, 31] Operation: 68-37=31
Moving to Node #0,2
Current State: 41:[53, 63, 31], Operations: ['68-37=31']
Exploring Operation: 63-31=32, Resulting Numbers: [53, 32]
Generated Node #0,2,0: 41:[53, 32] Operation: 63-31=32
Exploring Operation: 53-31=22, Resulting Numbers: [63, 22]
Generated Node #0,2,1: 41:[63, 22] Operation: 53-31=22
Exploring Operation: 63-53=10, Resulting Numbers: [31, 10]
Generated Node #0,2,2: 41:[31, 10] Operation: 63-53=10
Moving to Node #0,0
Current State: 41:[53, 37, 5], Operations: ['68-63=5']
Exploring Operation: 37+5=42, Resulting Numbers: [53, 42]
Generated Node #0,0,0: 41:[53, 42] Operation: 37+5=42
Exploring Operation: 53+5=58, Resulting Numbers: [37, 58]
Generated Node #0,0,1: 41:[37, 58] Operation: 53+5=58
Exploring Operation: 53-5=48, Resulting Numbers: [37, 48]
Generated Node #0,0,2: 41:[37, 48] Operation: 53-5=48
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 41:[37, 48], Operations: ['68-63=5', '53-5=48']
Exploring Operation: 48-37=11, Resulting Numbers: [11]
11,41 unequal: No Solution
Exploring Operation: 37*48=1776, Resulting Numbers: [1776]
1776,41 unequal: No Solution
Exploring Operation: 37+48=85, Resulting Numbers: [85]
85,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 41:[53, 42], Operations: ['68-63=5', '37+5=42']
Exploring Operation: 53-42=11, Resulting Numbers: [11]
11,41 unequal: No Solution
Exploring Operation: 53*42=2226, Resulting Numbers: [2226]
2226,41 unequal: No Solution
Exploring Operation: 53+42=95, Resulting Numbers: [95]
95,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 41:[37, 58], Operations: ['68-63=5', '53+5=58']
Exploring Operation: 37*58=2146, Resulting Numbers: [2146]
2146,41 unequal: No Solution
Exploring Operation: 58-37=21, Resulting Numbers: [21]
21,41 unequal: No Solution
Exploring Operation: 37+58=95, Resulting Numbers: [95]
95,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 41:[37, 63, 15], Operations: ['68-53=15']
Exploring Operation: 37+15=52, Resulting Numbers: [63, 52]
Generated Node #0,1,0: 41:[63, 52] Operation: 37+15=52
Exploring Operation: 63-15=48, Resulting Numbers: [37, 48]
Generated Node #0,1,1: 41:[37, 48] Operation: 63-15=48
Exploring Operation: 63-37=26, Resulting Numbers: [15, 26]
Generated Node #0,1,2: 41:[15, 26] Operation: 63-37=26
Moving to Node #0,1,1
Current State: 41:[37, 48], Operations: ['68-53=15', '63-15=48']
Exploring Operation: 48-37=11, Resulting Numbers: [11]
11,41 unequal: No Solution
Exploring Operation: 37+48=85, Resulting Numbers: [85]
85,41 unequal: No Solution
Exploring Operation: 37*48=1776, Resulting Numbers: [1776]
1776,41 unequal: No Solution
Moving to Node #0,2,0
Current State: 41:[53, 32], Operations: ['68-37=31', '63-31=32']
Exploring Operation: 53*32=1696, Resulting Numbers: [1696]
1696,41 unequal: No Solution
Exploring Operation: 53+32=85, Resulting Numbers: [85]
85,41 unequal: No Solution
Exploring Operation: 53-32=21, Resulting Numbers: [21]
21,41 unequal: No Solution
Moving to Node #0,1,0
Current State: 41:[63, 52], Operations: ['68-53=15', '37+15=52']
Exploring Operation: 63+52=115, Resulting Numbers: [115]
115,41 unequal: No Solution
Exploring Operation: 63-52=11, Resulting Numbers: [11]
11,41 unequal: No Solution
Exploring Operation: 63*52=3276, Resulting Numbers: [3276]
3276,41 unequal: No Solution
Moving to Node #0,2,2
Current State: 41:[31, 10], Operations: ['68-37=31', '63-53=10']
Exploring Operation: 31*10=310, Resulting Numbers: [310]
310,41 unequal: No Solution
Exploring Operation: 31+10=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[53, 68, 37, 63], Operations: []
Exploring Operation: 68-37=31, Resulting Numbers: [53, 63, 31]
Generated Node #0,2: 41:[53, 63, 31] Operation: 68-37=31
Moving to Node #0,2
Current State: 41:[53, 63, 31], Operations: ['68-37=31']
Exploring Operation: 63-53=10, Resulting Numbers: [31, 10]
Generated Node #0,2,2: 41:[31, 10] Operation: 63-53=10
Moving to Node #0,2,2
Current State: 41:[31, 10], Operations: ['68-37=31', '63-53=10']
Exploring Operation: 31+10=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 0.96875
|
hs_3
|
mult_heuristic
|
[
97,
95,
6,
59
] | 62
|
[
"97-95=2",
"6/2=3",
"59+3=62"
] |
Current State: 62:[97, 95, 6, 59], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [6, 59, 2]
Generated Node #2: [6, 59, 2] from Operation: 97-95=2
Current State: 62:[6, 59, 2], Operations: ['97-95=2']
Exploring Operation: 6/2=3, Resulting Numbers: [59, 3]
Generated Node #3: [59, 3] from Operation: 6/2=3
Current State: 62:[59, 3], Operations: ['97-95=2', '6/2=3']
Exploring Operation: 59+3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4
|
Current State: 62:[97, 95, 6, 59], Operations: []
Exploring Operation: 97-59=38, Resulting Numbers: [95, 6, 38]
Generated Node #0,0: 62:[95, 6, 38] Operation: 97-59=38
Exploring Operation: 95-59=36, Resulting Numbers: [97, 6, 36]
Generated Node #0,1: 62:[97, 6, 36] Operation: 95-59=36
Exploring Operation: 97-95=2, Resulting Numbers: [6, 59, 2]
Generated Node #0,2: 62:[6, 59, 2] Operation: 97-95=2
Moving to Node #0,2
Current State: 62:[6, 59, 2], Operations: ['97-95=2']
Exploring Operation: 6-2=4, Resulting Numbers: [59, 4]
Generated Node #0,2,0: 62:[59, 4] Operation: 6-2=4
Exploring Operation: 6/2=3, Resulting Numbers: [59, 3]
Generated Node #0,2,1: 62:[59, 3] Operation: 6/2=3
Exploring Operation: 6+59=65, Resulting Numbers: [2, 65]
Generated Node #0,2,2: 62:[2, 65] Operation: 6+59=65
Moving to Node #0,0
Current State: 62:[95, 6, 38], Operations: ['97-59=38']
Exploring Operation: 95-38=57, Resulting Numbers: [6, 57]
Generated Node #0,0,0: 62:[6, 57] Operation: 95-38=57
Exploring Operation: 95-6=89, Resulting Numbers: [38, 89]
Generated Node #0,0,1: 62:[38, 89] Operation: 95-6=89
Exploring Operation: 38-6=32, Resulting Numbers: [95, 32]
Generated Node #0,0,2: 62:[95, 32] Operation: 38-6=32
Moving to Node #0,1
Current State: 62:[97, 6, 36], Operations: ['95-59=36']
Exploring Operation: 36-6=30, Resulting Numbers: [97, 30]
Generated Node #0,1,0: 62:[97, 30] Operation: 36-6=30
Exploring Operation: 97-36=61, Resulting Numbers: [6, 61]
Generated Node #0,1,1: 62:[6, 61] Operation: 97-36=61
Exploring Operation: 97-6=91, Resulting Numbers: [36, 91]
Generated Node #0,1,2: 62:[36, 91] Operation: 97-6=91
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 62:[6, 61], Operations: ['95-59=36', '97-36=61']
Exploring Operation: 6+61=67, Resulting Numbers: [67]
67,62 unequal: No Solution
Exploring Operation: 61-6=55, Resulting Numbers: [55]
55,62 unequal: No Solution
Exploring Operation: 6*61=366, Resulting Numbers: [366]
366,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 62:[36, 91], Operations: ['95-59=36', '97-6=91']
Exploring Operation: 36+91=127, Resulting Numbers: [127]
127,62 unequal: No Solution
Exploring Operation: 36*91=3276, Resulting Numbers: [3276]
3276,62 unequal: No Solution
Exploring Operation: 91-36=55, Resulting Numbers: [55]
55,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 62:[97, 30], Operations: ['95-59=36', '36-6=30']
Exploring Operation: 97-30=67, Resulting Numbers: [67]
67,62 unequal: No Solution
Exploring Operation: 97+30=127, Resulting Numbers: [127]
127,62 unequal: No Solution
Exploring Operation: 97*30=2910, Resulting Numbers: [2910]
2910,62 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: 62:[2, 65], Operations: ['97-95=2', '6+59=65']
Exploring Operation: 2*65=130, Resulting Numbers: [130]
130,62 unequal: No Solution
Exploring Operation: 2+65=67, Resulting Numbers: [67]
67,62 unequal: No Solution
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,62 unequal: No Solution
Moving to Node #0,2,1
Current State: 62:[59, 3], Operations: ['97-95=2', '6/2=3']
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,62 unequal: No Solution
Exploring Operation: 59*3=177, Resulting Numbers: [177]
177,62 unequal: No Solution
Exploring Operation: 59+3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[97, 95, 6, 59], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [6, 59, 2]
Generated Node #0,2: 62:[6, 59, 2] Operation: 97-95=2
Moving to Node #0,2
Current State: 62:[6, 59, 2], Operations: ['97-95=2']
Exploring Operation: 6/2=3, Resulting Numbers: [59, 3]
Generated Node #0,2,1: 62:[59, 3] Operation: 6/2=3
Moving to Node #0,2,1
Current State: 62:[59, 3], Operations: ['97-95=2', '6/2=3']
Exploring Operation: 59+3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 0.97309
|
hs_3
|
sum_heuristic
|
[
75,
13,
7,
81
] | 49
|
[
"75+13=88",
"88-81=7",
"7*7=49"
] |
Current State: 49:[75, 13, 7, 81], Operations: []
Exploring Operation: 75+13=88, Resulting Numbers: [7, 81, 88]
Generated Node #2: [7, 81, 88] from Operation: 75+13=88
Current State: 49:[7, 81, 88], Operations: ['75+13=88']
Exploring Operation: 88-81=7, Resulting Numbers: [7, 7]
Generated Node #3: [7, 7] from Operation: 88-81=7
Current State: 49:[7, 7], Operations: ['75+13=88', '88-81=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4
|
Current State: 49:[75, 13, 7, 81], Operations: []
Exploring Operation: 81-13=68, Resulting Numbers: [75, 7, 68]
Generated Node #0,0: 49:[75, 7, 68] Operation: 81-13=68
Exploring Operation: 75-7=68, Resulting Numbers: [13, 81, 68]
Generated Node #0,1: 49:[13, 81, 68] Operation: 75-7=68
Exploring Operation: 81-7=74, Resulting Numbers: [75, 13, 74]
Generated Node #0,2: 49:[75, 13, 74] Operation: 81-7=74
Exploring Operation: 75-13=62, Resulting Numbers: [7, 81, 62]
Generated Node #0,3: 49:[7, 81, 62] Operation: 75-13=62
Exploring Operation: 81-75=6, Resulting Numbers: [13, 7, 6]
Generated Node #0,4: 49:[13, 7, 6] Operation: 81-75=6
Moving to Node #0,4
Current State: 49:[13, 7, 6], Operations: ['81-75=6']
Exploring Operation: 13+6=19, Resulting Numbers: [7, 19]
Generated Node #0,4,0: 49:[7, 19] Operation: 13+6=19
Exploring Operation: 7+6=13, Resulting Numbers: [13, 13]
Generated Node #0,4,1: 49:[13, 13] Operation: 7+6=13
Exploring Operation: 13-7=6, Resulting Numbers: [6, 6]
Generated Node #0,4,2: 49:[6, 6] Operation: 13-7=6
Exploring Operation: 13-6=7, Resulting Numbers: [7, 7]
Generated Node #0,4,3: 49:[7, 7] Operation: 13-6=7
Exploring Operation: 7-6=1, Resulting Numbers: [13, 1]
Generated Node #0,4,4: 49:[13, 1] Operation: 7-6=1
Moving to Node #0,3
Current State: 49:[7, 81, 62], Operations: ['75-13=62']
Exploring Operation: 81-7=74, Resulting Numbers: [62, 74]
Generated Node #0,3,0: 49:[62, 74] Operation: 81-7=74
Exploring Operation: 7+81=88, Resulting Numbers: [62, 88]
Generated Node #0,3,1: 49:[62, 88] Operation: 7+81=88
Exploring Operation: 81-62=19, Resulting Numbers: [7, 19]
Generated Node #0,3,2: 49:[7, 19] Operation: 81-62=19
Exploring Operation: 7+62=69, Resulting Numbers: [81, 69]
Generated Node #0,3,3: 49:[81, 69] Operation: 7+62=69
Exploring Operation: 62-7=55, Resulting Numbers: [81, 55]
Generated Node #0,3,4: 49:[81, 55] Operation: 62-7=55
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 49:[7, 19], Operations: ['75-13=62', '81-62=19']
Exploring Operation: 7+19=26, Resulting Numbers: [26]
26,49 unequal: No Solution
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,49 unequal: No Solution
Exploring Operation: 7*19=133, Resulting Numbers: [133]
133,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 49:[62, 74], Operations: ['75-13=62', '81-7=74']
Exploring Operation: 62*74=4588, Resulting Numbers: [4588]
4588,49 unequal: No Solution
Exploring Operation: 62+74=136, Resulting Numbers: [136]
136,49 unequal: No Solution
Exploring Operation: 74-62=12, Resulting Numbers: [12]
12,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 49:[81, 55], Operations: ['75-13=62', '62-7=55']
Exploring Operation: 81-55=26, Resulting Numbers: [26]
26,49 unequal: No Solution
Exploring Operation: 81*55=4455, Resulting Numbers: [4455]
4455,49 unequal: No Solution
Exploring Operation: 81+55=136, Resulting Numbers: [136]
136,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 49:[62, 88], Operations: ['75-13=62', '7+81=88']
Exploring Operation: 62*88=5456, Resulting Numbers: [5456]
5456,49 unequal: No Solution
Exploring Operation: 88-62=26, Resulting Numbers: [26]
26,49 unequal: No Solution
Exploring Operation: 62+88=150, Resulting Numbers: [150]
150,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 49:[81, 69], Operations: ['75-13=62', '7+62=69']
Exploring Operation: 81*69=5589, Resulting Numbers: [5589]
5589,49 unequal: No Solution
Exploring Operation: 81+69=150, Resulting Numbers: [150]
150,49 unequal: No Solution
Exploring Operation: 81-69=12, Resulting Numbers: [12]
12,49 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: 49:[75, 7, 68], Operations: ['81-13=68']
Exploring Operation: 7+68=75, Resulting Numbers: [75, 75]
Generated Node #0,0,0: 49:[75, 75] Operation: 7+68=75
Exploring Operation: 75+7=82, Resulting Numbers: [68, 82]
Generated Node #0,0,1: 49:[68, 82] Operation: 75+7=82
Exploring Operation: 75-68=7, Resulting Numbers: [7, 7]
Generated Node #0,0,2: 49:[7, 7] Operation: 75-68=7
Exploring Operation: 75-7=68, Resulting Numbers: [68, 68]
Generated Node #0,0,3: 49:[68, 68] Operation: 75-7=68
Exploring Operation: 68-7=61, Resulting Numbers: [75, 61]
Generated Node #0,0,4: 49:[75, 61] Operation: 68-7=61
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 49:[7, 7], Operations: ['81-13=68', '75-68=7']
Exploring Operation: 7+7=14, Resulting Numbers: [14]
14,49 unequal: No Solution
Exploring Operation: 7/7=1, Resulting Numbers: [1]
1,49 unequal: No Solution
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[75, 13, 7, 81], Operations: []
Exploring Operation: 81-13=68, Resulting Numbers: [75, 7, 68]
Generated Node #0,0: 49:[75, 7, 68] Operation: 81-13=68
Moving to Node #0,0
Current State: 49:[75, 7, 68], Operations: ['81-13=68']
Exploring Operation: 75-68=7, Resulting Numbers: [7, 7]
Generated Node #0,0,2: 49:[7, 7] Operation: 75-68=7
Moving to Node #0,0,2
Current State: 49:[7, 7], Operations: ['81-13=68', '75-68=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542
|
hs_5
|
mult_heuristic
|
[
20,
22,
50,
56
] | 78
|
[
"22-20=2",
"56/2=28",
"50+28=78"
] |
Current State: 78:[20, 22, 50, 56], Operations: []
Exploring Operation: 22-20=2, Resulting Numbers: [50, 56, 2]
Generated Node #2: [50, 56, 2] from Operation: 22-20=2
Current State: 78:[50, 56, 2], Operations: ['22-20=2']
Exploring Operation: 56/2=28, Resulting Numbers: [50, 28]
Generated Node #3: [50, 28] from Operation: 56/2=28
Current State: 78:[50, 28], Operations: ['22-20=2', '56/2=28']
Exploring Operation: 50+28=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4
|
Current State: 78:[20, 22, 50, 56], Operations: []
Exploring Operation: 22+56=78, Resulting Numbers: [20, 50, 78]
Generated Node #0,0: 78:[20, 50, 78] Operation: 22+56=78
Exploring Operation: 56-50=6, Resulting Numbers: [20, 22, 6]
Generated Node #0,1: 78:[20, 22, 6] Operation: 56-50=6
Exploring Operation: 20+56=76, Resulting Numbers: [22, 50, 76]
Generated Node #0,2: 78:[22, 50, 76] Operation: 20+56=76
Moving to Node #0,1
Current State: 78:[20, 22, 6], Operations: ['56-50=6']
Exploring Operation: 20+6=26, Resulting Numbers: [22, 26]
Generated Node #0,1,0: 78:[22, 26] Operation: 20+6=26
Exploring Operation: 22-20=2, Resulting Numbers: [6, 2]
Generated Node #0,1,1: 78:[6, 2] Operation: 22-20=2
Exploring Operation: 20+22=42, Resulting Numbers: [6, 42]
Generated Node #0,1,2: 78:[6, 42] Operation: 20+22=42
Moving to Node #0,0
Current State: 78:[20, 50, 78], Operations: ['22+56=78']
Exploring Operation: 50-20=30, Resulting Numbers: [78, 30]
Generated Node #0,0,0: 78:[78, 30] Operation: 50-20=30
Exploring Operation: 78-50=28, Resulting Numbers: [20, 28]
Generated Node #0,0,1: 78:[20, 28] Operation: 78-50=28
Exploring Operation: 20+50=70, Resulting Numbers: [78, 70]
Generated Node #0,0,2: 78:[78, 70] Operation: 20+50=70
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 78:[78, 30], Operations: ['22+56=78', '50-20=30']
Exploring Operation: 78+30=108, Resulting Numbers: [108]
108,78 unequal: No Solution
Exploring Operation: 78*30=2340, Resulting Numbers: [2340]
2340,78 unequal: No Solution
Exploring Operation: 78-30=48, Resulting Numbers: [48]
48,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 78:[20, 28], Operations: ['22+56=78', '78-50=28']
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,78 unequal: No Solution
Exploring Operation: 20+28=48, Resulting Numbers: [48]
48,78 unequal: No Solution
Exploring Operation: 20*28=560, Resulting Numbers: [560]
560,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 78:[78, 70], Operations: ['22+56=78', '20+50=70']
Exploring Operation: 78-70=8, Resulting Numbers: [8]
8,78 unequal: No Solution
Exploring Operation: 78*70=5460, Resulting Numbers: [5460]
5460,78 unequal: No Solution
Exploring Operation: 78+70=148, Resulting Numbers: [148]
148,78 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: 78:[22, 50, 76], Operations: ['20+56=76']
Exploring Operation: 22+50=72, Resulting Numbers: [76, 72]
Generated Node #0,2,0: 78:[76, 72] Operation: 22+50=72
Exploring Operation: 76-50=26, Resulting Numbers: [22, 26]
Generated Node #0,2,1: 78:[22, 26] Operation: 76-50=26
Exploring Operation: 50-22=28, Resulting Numbers: [76, 28]
Generated Node #0,2,2: 78:[76, 28] Operation: 50-22=28
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 78:[22, 26], Operations: ['20+56=76', '76-50=26']
Exploring Operation: 22*26=572, Resulting Numbers: [572]
572,78 unequal: No Solution
Exploring Operation: 22+26=48, Resulting Numbers: [48]
48,78 unequal: No Solution
Exploring Operation: 26-22=4, Resulting Numbers: [4]
4,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 78:[76, 28], Operations: ['20+56=76', '50-22=28']
Exploring Operation: 76+28=104, Resulting Numbers: [104]
104,78 unequal: No Solution
Exploring Operation: 76*28=2128, Resulting Numbers: [2128]
2128,78 unequal: No Solution
Exploring Operation: 76-28=48, Resulting Numbers: [48]
48,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 78:[76, 72], Operations: ['20+56=76', '22+50=72']
Exploring Operation: 76*72=5472, Resulting Numbers: [5472]
5472,78 unequal: No Solution
Exploring Operation: 76+72=148, Resulting Numbers: [148]
148,78 unequal: No Solution
Exploring Operation: 76-72=4, Resulting Numbers: [4]
4,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 78:[6, 2], Operations: ['56-50=6', '22-20=2']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,78 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,78 unequal: No Solution
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,78 unequal: No Solution
Moving to Node #0,1,2
Current State: 78:[6, 42], Operations: ['56-50=6', '20+22=42']
Exploring Operation: 42/6=7, Resulting Numbers: [7]
7,78 unequal: No Solution
Exploring Operation: 6+42=48, Resulting Numbers: [48]
48,78 unequal: No Solution
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,78 unequal: No Solution
Moving to Node #0,1,0
Current State: 78:[22, 26], Operations: ['56-50=6', '20+6=26']
Exploring Operation: 26-22=4, Resulting Numbers: [4]
4,78 unequal: No Solution
Exploring Operation: 22*26=572, Resulting Numbers: [572]
572,78 unequal: No Solution
Exploring Operation: 22+26=48, Resulting Numbers: [48]
48,78 unequal: No Solution
No solution found.
| 0
|
hs_3
|
mult_heuristic
|
[
47,
29,
28,
6
] | 80
|
[
"47-29=18",
"6*18=108",
"108-28=80"
] |
Current State: 80:[47, 29, 28, 6], Operations: []
Exploring Operation: 47-29=18, Resulting Numbers: [28, 6, 18]
Generated Node #2: [28, 6, 18] from Operation: 47-29=18
Current State: 80:[28, 6, 18], Operations: ['47-29=18']
Exploring Operation: 6*18=108, Resulting Numbers: [28, 108]
Generated Node #3: [28, 108] from Operation: 6*18=108
Current State: 80:[28, 108], Operations: ['47-29=18', '6*18=108']
Exploring Operation: 108-28=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4
|
Current State: 80:[47, 29, 28, 6], Operations: []
Exploring Operation: 29-28=1, Resulting Numbers: [47, 6, 1]
Generated Node #0,0: 80:[47, 6, 1] Operation: 29-28=1
Exploring Operation: 47-29=18, Resulting Numbers: [28, 6, 18]
Generated Node #0,1: 80:[28, 6, 18] Operation: 47-29=18
Exploring Operation: 47+29=76, Resulting Numbers: [28, 6, 76]
Generated Node #0,2: 80:[28, 6, 76] Operation: 47+29=76
Exploring Operation: 47-28=19, Resulting Numbers: [29, 6, 19]
Generated Node #0,3: 80:[29, 6, 19] Operation: 47-28=19
Moving to Node #0,0
Current State: 80:[47, 6, 1], Operations: ['29-28=1']
Exploring Operation: 47-1=46, Resulting Numbers: [6, 46]
Generated Node #0,0,0: 80:[6, 46] Operation: 47-1=46
Exploring Operation: 47-6=41, Resulting Numbers: [1, 41]
Generated Node #0,0,1: 80:[1, 41] Operation: 47-6=41
Exploring Operation: 6-1=5, Resulting Numbers: [47, 5]
Generated Node #0,0,2: 80:[47, 5] Operation: 6-1=5
Exploring Operation: 47*1=47, Resulting Numbers: [6, 47]
Generated Node #0,0,3: 80:[6, 47] Operation: 47*1=47
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 80:[1, 41], Operations: ['29-28=1', '47-6=41']
Exploring Operation: 41-1=40, Resulting Numbers: [40]
40,80 unequal: No Solution
Exploring Operation: 1+41=42, Resulting Numbers: [42]
42,80 unequal: No Solution
Exploring Operation: 1*41=41, Resulting Numbers: [41]
41,80 unequal: No Solution
Exploring Operation: 41/1=41, Resulting Numbers: [41]
41,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 80:[6, 46], Operations: ['29-28=1', '47-1=46']
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,80 unequal: No Solution
Exploring Operation: 6*46=276, Resulting Numbers: [276]
276,80 unequal: No Solution
Exploring Operation: 6+46=52, Resulting Numbers: [52]
52,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 80:[47, 5], Operations: ['29-28=1', '6-1=5']
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,80 unequal: No Solution
Exploring Operation: 47*5=235, Resulting Numbers: [235]
235,80 unequal: No Solution
Exploring Operation: 47+5=52, Resulting Numbers: [52]
52,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 80:[6, 47], Operations: ['29-28=1', '47*1=47']
Exploring Operation: 6*47=282, Resulting Numbers: [282]
282,80 unequal: No Solution
Exploring Operation: 6+47=53, Resulting Numbers: [53]
53,80 unequal: No Solution
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,80 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: 80:[29, 6, 19], Operations: ['47-28=19']
Exploring Operation: 29+19=48, Resulting Numbers: [6, 48]
Generated Node #0,3,0: 80:[6, 48] Operation: 29+19=48
Exploring Operation: 29+6=35, Resulting Numbers: [19, 35]
Generated Node #0,3,1: 80:[19, 35] Operation: 29+6=35
Exploring Operation: 29-19=10, Resulting Numbers: [6, 10]
Generated Node #0,3,2: 80:[6, 10] Operation: 29-19=10
Exploring Operation: 29-6=23, Resulting Numbers: [19, 23]
Generated Node #0,3,3: 80:[19, 23] Operation: 29-6=23
Moving to Node #0,1
Current State: 80:[28, 6, 18], Operations: ['47-29=18']
Exploring Operation: 28+18=46, Resulting Numbers: [6, 46]
Generated Node #0,1,0: 80:[6, 46] Operation: 28+18=46
Exploring Operation: 28-6=22, Resulting Numbers: [18, 22]
Generated Node #0,1,1: 80:[18, 22] Operation: 28-6=22
Exploring Operation: 28-18=10, Resulting Numbers: [6, 10]
Generated Node #0,1,2: 80:[6, 10] Operation: 28-18=10
Exploring Operation: 28+6=34, Resulting Numbers: [18, 34]
Generated Node #0,1,3: 80:[18, 34] Operation: 28+6=34
Moving to Node #0,2
Current State: 80:[28, 6, 76], Operations: ['47+29=76']
Exploring Operation: 28+6=34, Resulting Numbers: [76, 34]
Generated Node #0,2,0: 80:[76, 34] Operation: 28+6=34
Exploring Operation: 28-6=22, Resulting Numbers: [76, 22]
Generated Node #0,2,1: 80:[76, 22] Operation: 28-6=22
Exploring Operation: 76-28=48, Resulting Numbers: [6, 48]
Generated Node #0,2,2: 80:[6, 48] Operation: 76-28=48
Exploring Operation: 6+76=82, Resulting Numbers: [28, 82]
Generated Node #0,2,3: 80:[28, 82] Operation: 6+76=82
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 80:[76, 22], Operations: ['47+29=76', '28-6=22']
Exploring Operation: 76*22=1672, Resulting Numbers: [1672]
1672,80 unequal: No Solution
Exploring Operation: 76+22=98, Resulting Numbers: [98]
98,80 unequal: No Solution
Exploring Operation: 76-22=54, Resulting Numbers: [54]
54,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 80:[6, 48], Operations: ['47+29=76', '76-28=48']
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,80 unequal: No Solution
Exploring Operation: 6*48=288, Resulting Numbers: [288]
288,80 unequal: No Solution
Exploring Operation: 6+48=54, Resulting Numbers: [54]
54,80 unequal: No Solution
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 80:[76, 34], Operations: ['47+29=76', '28+6=34']
Exploring Operation: 76+34=110, Resulting Numbers: [110]
110,80 unequal: No Solution
Exploring Operation: 76-34=42, Resulting Numbers: [42]
42,80 unequal: No Solution
Exploring Operation: 76*34=2584, Resulting Numbers: [2584]
2584,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 80:[28, 82], Operations: ['47+29=76', '6+76=82']
Exploring Operation: 28+82=110, Resulting Numbers: [110]
110,80 unequal: No Solution
Exploring Operation: 28*82=2296, Resulting Numbers: [2296]
2296,80 unequal: No Solution
Exploring Operation: 82-28=54, Resulting Numbers: [54]
54,80 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: 80:[6, 10], Operations: ['47-28=19', '29-19=10']
Exploring Operation: 6+10=16, Resulting Numbers: [16]
16,80 unequal: No Solution
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,80 unequal: No Solution
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Moving to Node #0,1,2
Current State: 80:[6, 10], Operations: ['47-29=18', '28-18=10']
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,80 unequal: No Solution
Exploring Operation: 6+10=16, Resulting Numbers: [16]
16,80 unequal: No Solution
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[18, 22], Operations: ['47-29=18', '28-6=22']
Exploring Operation: 18+22=40, Resulting Numbers: [40]
40,80 unequal: No Solution
Exploring Operation: 22-18=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 18*22=396, Resulting Numbers: [396]
396,80 unequal: No Solution
Moving to Node #0,3,3
Current State: 80:[19, 23], Operations: ['47-28=19', '29-6=23']
Exploring Operation: 19+23=42, Resulting Numbers: [42]
42,80 unequal: No Solution
Exploring Operation: 23-19=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 19*23=437, Resulting Numbers: [437]
437,80 unequal: No Solution
Moving to Node #0,3,1
Current State: 80:[19, 35], Operations: ['47-28=19', '29+6=35']
Exploring Operation: 35-19=16, Resulting Numbers: [16]
16,80 unequal: No Solution
Exploring Operation: 19*35=665, Resulting Numbers: [665]
665,80 unequal: No Solution
Exploring Operation: 19+35=54, Resulting Numbers: [54]
54,80 unequal: No Solution
Moving to Node #0,1,0
Current State: 80:[6, 46], Operations: ['47-29=18', '28+18=46']
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,80 unequal: No Solution
Exploring Operation: 6*46=276, Resulting Numbers: [276]
276,80 unequal: No Solution
Exploring Operation: 6+46=52, Resulting Numbers: [52]
52,80 unequal: No Solution
Moving to Node #0,1,3
Current State: 80:[18, 34], Operations: ['47-29=18', '28+6=34']
Exploring Operation: 18+34=52, Resulting Numbers: [52]
52,80 unequal: No Solution
Exploring Operation: 34-18=16, Resulting Numbers: [16]
16,80 unequal: No Solution
Exploring Operation: 18*34=612, Resulting Numbers: [612]
612,80 unequal: No Solution
Moving to Node #0,3,0
Current State: 80:[6, 48], Operations: ['47-28=19', '29+19=48']
Exploring Operation: 6*48=288, Resulting Numbers: [288]
288,80 unequal: No Solution
Exploring Operation: 6+48=54, Resulting Numbers: [54]
54,80 unequal: No Solution
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,80 unequal: No Solution
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,80 unequal: No Solution
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
[
24,
16,
47,
87
] | 80
|
[
"24+16=40",
"87-47=40",
"40+40=80"
] |
Current State: 80:[24, 16, 47, 87], Operations: []
Exploring Operation: 24+16=40, Resulting Numbers: [47, 87, 40]
Generated Node #2: [47, 87, 40] from Operation: 24+16=40
Current State: 80:[47, 87, 40], Operations: ['24+16=40']
Exploring Operation: 87-47=40, Resulting Numbers: [40, 40]
Generated Node #3: [40, 40] from Operation: 87-47=40
Current State: 80:[40, 40], Operations: ['24+16=40', '87-47=40']
Exploring Operation: 40+40=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4
|
Current State: 80:[24, 16, 47, 87], Operations: []
Exploring Operation: 87-47=40, Resulting Numbers: [24, 16, 40]
Generated Node #0,0: 80:[24, 16, 40] Operation: 87-47=40
Exploring Operation: 47-24=23, Resulting Numbers: [16, 87, 23]
Generated Node #0,1: 80:[16, 87, 23] Operation: 47-24=23
Moving to Node #0,0
Current State: 80:[24, 16, 40], Operations: ['87-47=40']
Exploring Operation: 24-16=8, Resulting Numbers: [40, 8]
Generated Node #0,0,0: 80:[40, 8] Operation: 24-16=8
Exploring Operation: 24+16=40, Resulting Numbers: [40, 40]
Generated Node #0,0,1: 80:[40, 40] Operation: 24+16=40
Moving to Node #0,1
Current State: 80:[16, 87, 23], Operations: ['47-24=23']
Exploring Operation: 16+23=39, Resulting Numbers: [87, 39]
Generated Node #0,1,0: 80:[87, 39] Operation: 16+23=39
Exploring Operation: 23-16=7, Resulting Numbers: [87, 7]
Generated Node #0,1,1: 80:[87, 7] Operation: 23-16=7
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 80:[87, 39], Operations: ['47-24=23', '16+23=39']
Exploring Operation: 87+39=126, Resulting Numbers: [126]
126,80 unequal: No Solution
Exploring Operation: 87-39=48, Resulting Numbers: [48]
48,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 80:[87, 7], Operations: ['47-24=23', '23-16=7']
Exploring Operation: 87+7=94, Resulting Numbers: [94]
94,80 unequal: No Solution
Exploring Operation: 87-7=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[24, 16, 47, 87], Operations: []
Exploring Operation: 47-24=23, Resulting Numbers: [16, 87, 23]
Generated Node #0,1: 80:[16, 87, 23] Operation: 47-24=23
Moving to Node #0,1
Current State: 80:[16, 87, 23], Operations: ['47-24=23']
Exploring Operation: 23-16=7, Resulting Numbers: [87, 7]
Generated Node #0,1,1: 80:[87, 7] Operation: 23-16=7
Moving to Node #0,1,1
Current State: 80:[87, 7], Operations: ['47-24=23', '23-16=7']
Exploring Operation: 87-7=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847
|
hs_2
|
mult_heuristic
|
[
10,
61,
60,
9
] | 80
|
[
"61-60=1",
"9-1=8",
"10*8=80"
] |
Current State: 80:[10, 61, 60, 9], Operations: []
Exploring Operation: 61-60=1, Resulting Numbers: [10, 9, 1]
Generated Node #2: [10, 9, 1] from Operation: 61-60=1
Current State: 80:[10, 9, 1], Operations: ['61-60=1']
Exploring Operation: 9-1=8, Resulting Numbers: [10, 8]
Generated Node #3: [10, 8] from Operation: 9-1=8
Current State: 80:[10, 8], Operations: ['61-60=1', '9-1=8']
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4
|
Current State: 80:[10, 61, 60, 9], Operations: []
Exploring Operation: 10+61=71, Resulting Numbers: [60, 9, 71]
Generated Node #0,0: 80:[60, 9, 71] Operation: 10+61=71
Exploring Operation: 61-60=1, Resulting Numbers: [10, 9, 1]
Generated Node #0,1: 80:[10, 9, 1] Operation: 61-60=1
Exploring Operation: 60/10=6, Resulting Numbers: [61, 9, 6]
Generated Node #0,2: 80:[61, 9, 6] Operation: 60/10=6
Moving to Node #0,1
Current State: 80:[10, 9, 1], Operations: ['61-60=1']
Exploring Operation: 10*1=10, Resulting Numbers: [9, 10]
Generated Node #0,1,0: 80:[9, 10] Operation: 10*1=10
Exploring Operation: 9-1=8, Resulting Numbers: [10, 8]
Generated Node #0,1,1: 80:[10, 8] Operation: 9-1=8
Exploring Operation: 9+1=10, Resulting Numbers: [10, 10]
Generated Node #0,1,2: 80:[10, 10] Operation: 9+1=10
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 80:[10, 8], Operations: ['61-60=1', '9-1=8']
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,80 unequal: No Solution
Exploring Operation: 10+8=18, Resulting Numbers: [18]
18,80 unequal: No Solution
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[10, 61, 60, 9], Operations: []
Exploring Operation: 61-60=1, Resulting Numbers: [10, 9, 1]
Generated Node #0,1: 80:[10, 9, 1] Operation: 61-60=1
Moving to Node #0,1
Current State: 80:[10, 9, 1], Operations: ['61-60=1']
Exploring Operation: 9-1=8, Resulting Numbers: [10, 8]
Generated Node #0,1,1: 80:[10, 8] Operation: 9-1=8
Moving to Node #0,1,1
Current State: 80:[10, 8], Operations: ['61-60=1', '9-1=8']
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715
|
hs_3
|
sum_heuristic
|
[
42,
39,
4,
87
] | 94
|
[
"42-39=3",
"4+87=91",
"3+91=94"
] |
Current State: 94:[42, 39, 4, 87], Operations: []
Exploring Operation: 42-39=3, Resulting Numbers: [4, 87, 3]
Generated Node #2: [4, 87, 3] from Operation: 42-39=3
Current State: 94:[4, 87, 3], Operations: ['42-39=3']
Exploring Operation: 4+87=91, Resulting Numbers: [3, 91]
Generated Node #3: [3, 91] from Operation: 4+87=91
Current State: 94:[3, 91], Operations: ['42-39=3', '4+87=91']
Exploring Operation: 3+91=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4
|
Current State: 94:[42, 39, 4, 87], Operations: []
Exploring Operation: 87-39=48, Resulting Numbers: [42, 4, 48]
Generated Node #0,0: 94:[42, 4, 48] Operation: 87-39=48
Moving to Node #0,0
Current State: 94:[42, 4, 48], Operations: ['87-39=48']
Exploring Operation: 42+4=46, Resulting Numbers: [48, 46]
Generated Node #0,0,0: 94:[48, 46] Operation: 42+4=46
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 94:[48, 46], Operations: ['87-39=48', '42+4=46']
Exploring Operation: 48+46=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[42, 39, 4, 87], Operations: []
Exploring Operation: 87-39=48, Resulting Numbers: [42, 4, 48]
Generated Node #0,0: 94:[42, 4, 48] Operation: 87-39=48
Moving to Node #0,0
Current State: 94:[42, 4, 48], Operations: ['87-39=48']
Exploring Operation: 42+4=46, Resulting Numbers: [48, 46]
Generated Node #0,0,0: 94:[48, 46] Operation: 42+4=46
Moving to Node #0,0,0
Current State: 94:[48, 46], Operations: ['87-39=48', '42+4=46']
Exploring Operation: 48+46=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
sum_heuristic
|
[
36,
12,
64,
19
] | 40
|
[
"12+64=76",
"76/19=4",
"36+4=40"
] |
Current State: 40:[36, 12, 64, 19], Operations: []
Exploring Operation: 12+64=76, Resulting Numbers: [36, 19, 76]
Generated Node #2: [36, 19, 76] from Operation: 12+64=76
Current State: 40:[36, 19, 76], Operations: ['12+64=76']
Exploring Operation: 76/19=4, Resulting Numbers: [36, 4]
Generated Node #3: [36, 4] from Operation: 76/19=4
Current State: 40:[36, 4], Operations: ['12+64=76', '76/19=4']
Exploring Operation: 36+4=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4
|
Current State: 40:[36, 12, 64, 19], Operations: []
Exploring Operation: 64-36=28, Resulting Numbers: [12, 19, 28]
Generated Node #0,0: 40:[12, 19, 28] Operation: 64-36=28
Exploring Operation: 64-19=45, Resulting Numbers: [36, 12, 45]
Generated Node #0,1: 40:[36, 12, 45] Operation: 64-19=45
Moving to Node #0,0
Current State: 40:[12, 19, 28], Operations: ['64-36=28']
Exploring Operation: 12+28=40, Resulting Numbers: [19, 40]
Generated Node #0,0,0: 40:[19, 40] Operation: 12+28=40
Exploring Operation: 28-19=9, Resulting Numbers: [12, 9]
Generated Node #0,0,1: 40:[12, 9] Operation: 28-19=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 40:[19, 40], Operations: ['64-36=28', '12+28=40']
Exploring Operation: 19+40=59, Resulting Numbers: [59]
59,40 unequal: No Solution
Exploring Operation: 40-19=21, Resulting Numbers: [21]
21,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 40:[12, 9], Operations: ['64-36=28', '28-19=9']
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,40 unequal: No Solution
Exploring Operation: 12+9=21, Resulting Numbers: [21]
21,40 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: 40:[36, 12, 45], Operations: ['64-19=45']
Exploring Operation: 36/12=3, Resulting Numbers: [45, 3]
Generated Node #0,1,0: 40:[45, 3] Operation: 36/12=3
Exploring Operation: 45-36=9, Resulting Numbers: [12, 9]
Generated Node #0,1,1: 40:[12, 9] Operation: 45-36=9
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 40:[12, 9], Operations: ['64-19=45', '45-36=9']
Exploring Operation: 12+9=21, Resulting Numbers: [21]
21,40 unequal: No Solution
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 40:[45, 3], Operations: ['64-19=45', '36/12=3']
Exploring Operation: 45-3=42, Resulting Numbers: [42]
42,40 unequal: No Solution
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_2
|
sum_heuristic
|
[
3,
39,
16,
54
] | 83
|
[
"39/3=13",
"16+54=70",
"13+70=83"
] |
Current State: 83:[3, 39, 16, 54], Operations: []
Exploring Operation: 39/3=13, Resulting Numbers: [16, 54, 13]
Generated Node #2: [16, 54, 13] from Operation: 39/3=13
Current State: 83:[16, 54, 13], Operations: ['39/3=13']
Exploring Operation: 16+54=70, Resulting Numbers: [13, 70]
Generated Node #3: [13, 70] from Operation: 16+54=70
Current State: 83:[13, 70], Operations: ['39/3=13', '16+54=70']
Exploring Operation: 13+70=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4
|
Current State: 83:[3, 39, 16, 54], Operations: []
Exploring Operation: 3+16=19, Resulting Numbers: [39, 54, 19]
Generated Node #0,0: 83:[39, 54, 19] Operation: 3+16=19
Exploring Operation: 3+39=42, Resulting Numbers: [16, 54, 42]
Generated Node #0,1: 83:[16, 54, 42] Operation: 3+39=42
Exploring Operation: 3*16=48, Resulting Numbers: [39, 54, 48]
Generated Node #0,2: 83:[39, 54, 48] Operation: 3*16=48
Exploring Operation: 3*39=117, Resulting Numbers: [16, 54, 117]
Generated Node #0,3: 83:[16, 54, 117] Operation: 3*39=117
Exploring Operation: 3+54=57, Resulting Numbers: [39, 16, 57]
Generated Node #0,4: 83:[39, 16, 57] Operation: 3+54=57
Start Sub Search at level 1: Moving to Node #0,2
Current State: 83:[39, 54, 48], Operations: ['3*16=48']
Exploring Operation: 39+48=87, Resulting Numbers: [54, 87]
Generated Node #0,2,0: 83:[54, 87] Operation: 39+48=87
Exploring Operation: 54-39=15, Resulting Numbers: [48, 15]
Generated Node #0,2,1: 83:[48, 15] Operation: 54-39=15
Exploring Operation: 54+48=102, Resulting Numbers: [39, 102]
Generated Node #0,2,2: 83:[39, 102] Operation: 54+48=102
Exploring Operation: 48-39=9, Resulting Numbers: [54, 9]
Generated Node #0,2,3: 83:[54, 9] Operation: 48-39=9
Exploring Operation: 39+54=93, Resulting Numbers: [48, 93]
Generated Node #0,2,4: 83:[48, 93] Operation: 39+54=93
Moving to Node #0,2,0
Current State: 83:[54, 87], Operations: ['3*16=48', '39+48=87']
Exploring Operation: 87-54=33, Resulting Numbers: [33]
33,83 unequal: No Solution
Exploring Operation: 54+87=141, Resulting Numbers: [141]
141,83 unequal: No Solution
Exploring Operation: 54*87=4698, Resulting Numbers: [4698]
4698,83 unequal: No Solution
Moving to Node #0,2,4
Current State: 83:[48, 93], Operations: ['3*16=48', '39+54=93']
Exploring Operation: 48+93=141, Resulting Numbers: [141]
141,83 unequal: No Solution
Exploring Operation: 93-48=45, Resulting Numbers: [45]
45,83 unequal: No Solution
Exploring Operation: 48*93=4464, Resulting Numbers: [4464]
4464,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[39, 102], Operations: ['3*16=48', '54+48=102']
Exploring Operation: 39*102=3978, Resulting Numbers: [3978]
3978,83 unequal: No Solution
Exploring Operation: 102-39=63, Resulting Numbers: [63]
63,83 unequal: No Solution
Exploring Operation: 39+102=141, Resulting Numbers: [141]
141,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[48, 15], Operations: ['3*16=48', '54-39=15']
Exploring Operation: 48*15=720, Resulting Numbers: [720]
720,83 unequal: No Solution
Exploring Operation: 48+15=63, Resulting Numbers: [63]
63,83 unequal: No Solution
Exploring Operation: 48-15=33, Resulting Numbers: [33]
33,83 unequal: No Solution
Moving to Node #0,2,3
Current State: 83:[54, 9], Operations: ['3*16=48', '48-39=9']
Exploring Operation: 54/9=6, Resulting Numbers: [6]
6,83 unequal: No Solution
Exploring Operation: 54+9=63, Resulting Numbers: [63]
63,83 unequal: No Solution
Exploring Operation: 54*9=486, Resulting Numbers: [486]
486,83 unequal: No Solution
Exploring Operation: 54-9=45, Resulting Numbers: [45]
45,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 83:[16, 54, 117], Operations: ['3*39=117']
Exploring Operation: 16+117=133, Resulting Numbers: [54, 133]
Generated Node #0,3,0: 83:[54, 133] Operation: 16+117=133
Exploring Operation: 54-16=38, Resulting Numbers: [117, 38]
Generated Node #0,3,1: 83:[117, 38] Operation: 54-16=38
Exploring Operation: 16+54=70, Resulting Numbers: [117, 70]
Generated Node #0,3,2: 83:[117, 70] Operation: 16+54=70
Exploring Operation: 117-16=101, Resulting Numbers: [54, 101]
Generated Node #0,3,3: 83:[54, 101] Operation: 117-16=101
Exploring Operation: 117-54=63, Resulting Numbers: [16, 63]
Generated Node #0,3,4: 83:[16, 63] Operation: 117-54=63
Moving to Node #0,3,2
Current State: 83:[117, 70], Operations: ['3*39=117', '16+54=70']
Exploring Operation: 117+70=187, Resulting Numbers: [187]
187,83 unequal: No Solution
Exploring Operation: 117-70=47, Resulting Numbers: [47]
47,83 unequal: No Solution
Exploring Operation: 117*70=8190, Resulting Numbers: [8190]
8190,83 unequal: No Solution
Moving to Node #0,3,3
Current State: 83:[54, 101], Operations: ['3*39=117', '117-16=101']
Exploring Operation: 54*101=5454, Resulting Numbers: [5454]
5454,83 unequal: No Solution
Exploring Operation: 54+101=155, Resulting Numbers: [155]
155,83 unequal: No Solution
Exploring Operation: 101-54=47, Resulting Numbers: [47]
47,83 unequal: No Solution
Moving to Node #0,3,0
Current State: 83:[54, 133], Operations: ['3*39=117', '16+117=133']
Exploring Operation: 133-54=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Exploring Operation: 54*133=7182, Resulting Numbers: [7182]
7182,83 unequal: No Solution
Exploring Operation: 54+133=187, Resulting Numbers: [187]
187,83 unequal: No Solution
Moving to Node #0,3,1
Current State: 83:[117, 38], Operations: ['3*39=117', '54-16=38']
Exploring Operation: 117*38=4446, Resulting Numbers: [4446]
4446,83 unequal: No Solution
Exploring Operation: 117+38=155, Resulting Numbers: [155]
155,83 unequal: No Solution
Exploring Operation: 117-38=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Moving to Node #0,3,4
Current State: 83:[16, 63], Operations: ['3*39=117', '117-54=63']
Exploring Operation: 16*63=1008, Resulting Numbers: [1008]
1008,83 unequal: No Solution
Exploring Operation: 16+63=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Exploring Operation: 63-16=47, Resulting Numbers: [47]
47,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[39, 54, 19], Operations: ['3+16=19']
Exploring Operation: 39+19=58, Resulting Numbers: [54, 58]
Generated Node #0,0,0: 83:[54, 58] Operation: 39+19=58
Exploring Operation: 39+54=93, Resulting Numbers: [19, 93]
Generated Node #0,0,1: 83:[19, 93] Operation: 39+54=93
Exploring Operation: 39-19=20, Resulting Numbers: [54, 20]
Generated Node #0,0,2: 83:[54, 20] Operation: 39-19=20
Exploring Operation: 54+19=73, Resulting Numbers: [39, 73]
Generated Node #0,0,3: 83:[39, 73] Operation: 54+19=73
Exploring Operation: 54-19=35, Resulting Numbers: [39, 35]
Generated Node #0,0,4: 83:[39, 35] Operation: 54-19=35
Moving to Node #0,0,0
Current State: 83:[54, 58], Operations: ['3+16=19', '39+19=58']
Exploring Operation: 58-54=4, Resulting Numbers: [4]
4,83 unequal: No Solution
Exploring Operation: 54+58=112, Resulting Numbers: [112]
112,83 unequal: No Solution
Exploring Operation: 54*58=3132, Resulting Numbers: [3132]
3132,83 unequal: No Solution
Moving to Node #0,0,3
Current State: 83:[39, 73], Operations: ['3+16=19', '54+19=73']
Exploring Operation: 73-39=34, Resulting Numbers: [34]
34,83 unequal: No Solution
Exploring Operation: 39*73=2847, Resulting Numbers: [2847]
2847,83 unequal: No Solution
Exploring Operation: 39+73=112, Resulting Numbers: [112]
112,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[19, 93], Operations: ['3+16=19', '39+54=93']
Exploring Operation: 19*93=1767, Resulting Numbers: [1767]
1767,83 unequal: No Solution
Exploring Operation: 19+93=112, Resulting Numbers: [112]
112,83 unequal: No Solution
Exploring Operation: 93-19=74, Resulting Numbers: [74]
74,83 unequal: No Solution
Moving to Node #0,0,2
Current State: 83:[54, 20], Operations: ['3+16=19', '39-19=20']
Exploring Operation: 54*20=1080, Resulting Numbers: [1080]
1080,83 unequal: No Solution
Exploring Operation: 54+20=74, Resulting Numbers: [74]
74,83 unequal: No Solution
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,83 unequal: No Solution
Moving to Node #0,0,4
Current State: 83:[39, 35], Operations: ['3+16=19', '54-19=35']
Exploring Operation: 39+35=74, Resulting Numbers: [74]
74,83 unequal: No Solution
Exploring Operation: 39-35=4, Resulting Numbers: [4]
4,83 unequal: No Solution
Exploring Operation: 39*35=1365, Resulting Numbers: [1365]
1365,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[16, 54, 42], Operations: ['3+39=42']
Exploring Operation: 54+42=96, Resulting Numbers: [16, 96]
Generated Node #0,1,0: 83:[16, 96] Operation: 54+42=96
Exploring Operation: 54-16=38, Resulting Numbers: [42, 38]
Generated Node #0,1,1: 83:[42, 38] Operation: 54-16=38
Exploring Operation: 16+42=58, Resulting Numbers: [54, 58]
Generated Node #0,1,2: 83:[54, 58] Operation: 16+42=58
Exploring Operation: 16+54=70, Resulting Numbers: [42, 70]
Generated Node #0,1,3: 83:[42, 70] Operation: 16+54=70
Exploring Operation: 42-16=26, Resulting Numbers: [54, 26]
Generated Node #0,1,4: 83:[54, 26] Operation: 42-16=26
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 83:[54, 58], Operations: ['3+39=42', '16+42=58']
Exploring Operation: 54*58=3132, Resulting Numbers: [3132]
3132,83 unequal: No Solution
Exploring Operation: 58-54=4, Resulting Numbers: [4]
4,83 unequal: No Solution
Exploring Operation: 54+58=112, Resulting Numbers: [112]
112,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 83:[42, 70], Operations: ['3+39=42', '16+54=70']
Exploring Operation: 42+70=112, Resulting Numbers: [112]
112,83 unequal: No Solution
Exploring Operation: 70-42=28, Resulting Numbers: [28]
28,83 unequal: No Solution
Exploring Operation: 42*70=2940, Resulting Numbers: [2940]
2940,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 83:[16, 96], Operations: ['3+39=42', '54+42=96']
Exploring Operation: 96/16=6, Resulting Numbers: [6]
6,83 unequal: No Solution
Exploring Operation: 96-16=80, Resulting Numbers: [80]
80,83 unequal: No Solution
Exploring Operation: 16+96=112, Resulting Numbers: [112]
112,83 unequal: No Solution
Exploring Operation: 16*96=1536, Resulting Numbers: [1536]
1536,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 83:[42, 38], Operations: ['3+39=42', '54-16=38']
Exploring Operation: 42+38=80, Resulting Numbers: [80]
80,83 unequal: No Solution
Exploring Operation: 42*38=1596, Resulting Numbers: [1596]
1596,83 unequal: No Solution
Exploring Operation: 42-38=4, Resulting Numbers: [4]
4,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 83:[54, 26], Operations: ['3+39=42', '42-16=26']
Exploring Operation: 54+26=80, Resulting Numbers: [80]
80,83 unequal: No Solution
Exploring Operation: 54*26=1404, Resulting Numbers: [1404]
1404,83 unequal: No Solution
Exploring Operation: 54-26=28, Resulting Numbers: [28]
28,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 83:[39, 16, 57], Operations: ['3+54=57']
Exploring Operation: 39+16=55, Resulting Numbers: [57, 55]
Generated Node #0,4,0: 83:[57, 55] Operation: 39+16=55
Exploring Operation: 39-16=23, Resulting Numbers: [57, 23]
Generated Node #0,4,1: 83:[57, 23] Operation: 39-16=23
Exploring Operation: 57-16=41, Resulting Numbers: [39, 41]
Generated Node #0,4,2: 83:[39, 41] Operation: 57-16=41
Exploring Operation: 16+57=73, Resulting Numbers: [39, 73]
Generated Node #0,4,3: 83:[39, 73] Operation: 16+57=73
Exploring Operation: 39+57=96, Resulting Numbers: [16, 96]
Generated Node #0,4,4: 83:[16, 96] Operation: 39+57=96
Moving to Node #0,4,0
Current State: 83:[57, 55], Operations: ['3+54=57', '39+16=55']
Exploring Operation: 57-55=2, Resulting Numbers: [2]
2,83 unequal: No Solution
Exploring Operation: 57+55=112, Resulting Numbers: [112]
112,83 unequal: No Solution
Exploring Operation: 57*55=3135, Resulting Numbers: [3135]
3135,83 unequal: No Solution
Moving to Node #0,4,3
Current State: 83:[39, 73], Operations: ['3+54=57', '16+57=73']
Exploring Operation: 73-39=34, Resulting Numbers: [34]
34,83 unequal: No Solution
Exploring Operation: 39+73=112, Resulting Numbers: [112]
112,83 unequal: No Solution
Exploring Operation: 39*73=2847, Resulting Numbers: [2847]
2847,83 unequal: No Solution
Moving to Node #0,4,4
Current State: 83:[16, 96], Operations: ['3+54=57', '39+57=96']
Exploring Operation: 16*96=1536, Resulting Numbers: [1536]
1536,83 unequal: No Solution
Exploring Operation: 96/16=6, Resulting Numbers: [6]
6,83 unequal: No Solution
Exploring Operation: 16+96=112, Resulting Numbers: [112]
112,83 unequal: No Solution
Exploring Operation: 96-16=80, Resulting Numbers: [80]
80,83 unequal: No Solution
Moving to Node #0,4,1
Current State: 83:[57, 23], Operations: ['3+54=57', '39-16=23']
Exploring Operation: 57*23=1311, Resulting Numbers: [1311]
1311,83 unequal: No Solution
Exploring Operation: 57-23=34, Resulting Numbers: [34]
34,83 unequal: No Solution
Exploring Operation: 57+23=80, Resulting Numbers: [80]
80,83 unequal: No Solution
Moving to Node #0,4,2
Current State: 83:[39, 41], Operations: ['3+54=57', '57-16=41']
Exploring Operation: 39*41=1599, Resulting Numbers: [1599]
1599,83 unequal: No Solution
Exploring Operation: 39+41=80, Resulting Numbers: [80]
80,83 unequal: No Solution
Exploring Operation: 41-39=2, Resulting Numbers: [2]
2,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_5
|
sum_heuristic
|
[
99,
64,
52,
76
] | 97
|
[
"52+76=128",
"128/64=2",
"99-2=97"
] |
Current State: 97:[99, 64, 52, 76], Operations: []
Exploring Operation: 52+76=128, Resulting Numbers: [99, 64, 128]
Generated Node #2: [99, 64, 128] from Operation: 52+76=128
Current State: 97:[99, 64, 128], Operations: ['52+76=128']
Exploring Operation: 128/64=2, Resulting Numbers: [99, 2]
Generated Node #3: [99, 2] from Operation: 128/64=2
Current State: 97:[99, 2], Operations: ['52+76=128', '128/64=2']
Exploring Operation: 99-2=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4
|
Current State: 97:[99, 64, 52, 76], Operations: []
Exploring Operation: 64+52=116, Resulting Numbers: [99, 76, 116]
Generated Node #0,0: 97:[99, 76, 116] Operation: 64+52=116
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[99, 76, 116], Operations: ['64+52=116']
Exploring Operation: 116-76=40, Resulting Numbers: [99, 40]
Generated Node #0,0,0: 97:[99, 40] Operation: 116-76=40
Moving to Node #0,0,0
Current State: 97:[99, 40], Operations: ['64+52=116', '116-76=40']
Exploring Operation: 99-40=59, Resulting Numbers: [59]
59,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
91,
7,
83,
68
] | 78
|
[
"91-68=23",
"7*23=161",
"161-83=78"
] |
Current State: 78:[91, 7, 83, 68], Operations: []
Exploring Operation: 91-68=23, Resulting Numbers: [7, 83, 23]
Generated Node #2: [7, 83, 23] from Operation: 91-68=23
Current State: 78:[7, 83, 23], Operations: ['91-68=23']
Exploring Operation: 7*23=161, Resulting Numbers: [83, 161]
Generated Node #3: [83, 161] from Operation: 7*23=161
Current State: 78:[83, 161], Operations: ['91-68=23', '7*23=161']
Exploring Operation: 161-83=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4
|
Current State: 78:[91, 7, 83, 68], Operations: []
Exploring Operation: 91-83=8, Resulting Numbers: [7, 68, 8]
Generated Node #0,0: 78:[7, 68, 8] Operation: 91-83=8
Exploring Operation: 91-68=23, Resulting Numbers: [7, 83, 23]
Generated Node #0,1: 78:[7, 83, 23] Operation: 91-68=23
Moving to Node #0,1
Current State: 78:[7, 83, 23], Operations: ['91-68=23']
Exploring Operation: 23-7=16, Resulting Numbers: [83, 16]
Generated Node #0,1,0: 78:[83, 16] Operation: 23-7=16
Exploring Operation: 83-7=76, Resulting Numbers: [23, 76]
Generated Node #0,1,1: 78:[23, 76] Operation: 83-7=76
Moving to Node #0,0
Current State: 78:[7, 68, 8], Operations: ['91-83=8']
Exploring Operation: 7+68=75, Resulting Numbers: [8, 75]
Generated Node #0,0,0: 78:[8, 75] Operation: 7+68=75
Exploring Operation: 68+8=76, Resulting Numbers: [7, 76]
Generated Node #0,0,1: 78:[7, 76] Operation: 68+8=76
Moving to Node #0,0,1
Current State: 78:[7, 76], Operations: ['91-83=8', '68+8=76']
Exploring Operation: 7+76=83, Resulting Numbers: [83]
83,78 unequal: No Solution
Exploring Operation: 76-7=69, Resulting Numbers: [69]
69,78 unequal: No Solution
Moving to Node #0,1,1
Current State: 78:[23, 76], Operations: ['91-68=23', '83-7=76']
Exploring Operation: 76-23=53, Resulting Numbers: [53]
53,78 unequal: No Solution
Exploring Operation: 23+76=99, Resulting Numbers: [99]
99,78 unequal: No Solution
Moving to Node #0,0,0
Current State: 78:[8, 75], Operations: ['91-83=8', '7+68=75']
Exploring Operation: 8+75=83, Resulting Numbers: [83]
83,78 unequal: No Solution
Exploring Operation: 75-8=67, Resulting Numbers: [67]
67,78 unequal: No Solution
Moving to Node #0,1,0
Current State: 78:[83, 16], Operations: ['91-68=23', '23-7=16']
Exploring Operation: 83+16=99, Resulting Numbers: [99]
99,78 unequal: No Solution
Exploring Operation: 83-16=67, Resulting Numbers: [67]
67,78 unequal: No Solution
No solution found.
| 0
|
hs_2
|
sum_heuristic
|
[
55,
50,
10,
22
] | 46
|
[
"10*22=220",
"220/55=4",
"50-4=46"
] |
Current State: 46:[55, 50, 10, 22], Operations: []
Exploring Operation: 10*22=220, Resulting Numbers: [55, 50, 220]
Generated Node #2: [55, 50, 220] from Operation: 10*22=220
Current State: 46:[55, 50, 220], Operations: ['10*22=220']
Exploring Operation: 220/55=4, Resulting Numbers: [50, 4]
Generated Node #3: [50, 4] from Operation: 220/55=4
Current State: 46:[50, 4], Operations: ['10*22=220', '220/55=4']
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4
|
Current State: 46:[55, 50, 10, 22], Operations: []
Exploring Operation: 50/10=5, Resulting Numbers: [55, 22, 5]
Generated Node #0,0: 46:[55, 22, 5] Operation: 50/10=5
Exploring Operation: 55-10=45, Resulting Numbers: [50, 22, 45]
Generated Node #0,1: 46:[50, 22, 45] Operation: 55-10=45
Exploring Operation: 50-10=40, Resulting Numbers: [55, 22, 40]
Generated Node #0,2: 46:[55, 22, 40] Operation: 50-10=40
Exploring Operation: 55-50=5, Resulting Numbers: [10, 22, 5]
Generated Node #0,3: 46:[10, 22, 5] Operation: 55-50=5
Moving to Node #0,1
Current State: 46:[50, 22, 45], Operations: ['55-10=45']
Exploring Operation: 22+45=67, Resulting Numbers: [50, 67]
Generated Node #0,1,0: 46:[50, 67] Operation: 22+45=67
Exploring Operation: 45-22=23, Resulting Numbers: [50, 23]
Generated Node #0,1,1: 46:[50, 23] Operation: 45-22=23
Exploring Operation: 50-22=28, Resulting Numbers: [45, 28]
Generated Node #0,1,2: 46:[45, 28] Operation: 50-22=28
Exploring Operation: 50-45=5, Resulting Numbers: [22, 5]
Generated Node #0,1,3: 46:[22, 5] Operation: 50-45=5
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 46:[50, 23], Operations: ['55-10=45', '45-22=23']
Exploring Operation: 50*23=1150, Resulting Numbers: [1150]
1150,46 unequal: No Solution
Exploring Operation: 50+23=73, Resulting Numbers: [73]
73,46 unequal: No Solution
Exploring Operation: 50-23=27, Resulting Numbers: [27]
27,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 46:[22, 5], Operations: ['55-10=45', '50-45=5']
Exploring Operation: 22*5=110, Resulting Numbers: [110]
110,46 unequal: No Solution
Exploring Operation: 22+5=27, Resulting Numbers: [27]
27,46 unequal: No Solution
Exploring Operation: 22-5=17, Resulting Numbers: [17]
17,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 46:[45, 28], Operations: ['55-10=45', '50-22=28']
Exploring Operation: 45+28=73, Resulting Numbers: [73]
73,46 unequal: No Solution
Exploring Operation: 45*28=1260, Resulting Numbers: [1260]
1260,46 unequal: No Solution
Exploring Operation: 45-28=17, Resulting Numbers: [17]
17,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 46:[50, 67], Operations: ['55-10=45', '22+45=67']
Exploring Operation: 50*67=3350, Resulting Numbers: [3350]
3350,46 unequal: No Solution
Exploring Operation: 50+67=117, Resulting Numbers: [117]
117,46 unequal: No Solution
Exploring Operation: 67-50=17, Resulting Numbers: [17]
17,46 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: 46:[10, 22, 5], Operations: ['55-50=5']
Exploring Operation: 10*5=50, Resulting Numbers: [22, 50]
Generated Node #0,3,0: 46:[22, 50] Operation: 10*5=50
Exploring Operation: 10+5=15, Resulting Numbers: [22, 15]
Generated Node #0,3,1: 46:[22, 15] Operation: 10+5=15
Exploring Operation: 10/5=2, Resulting Numbers: [22, 2]
Generated Node #0,3,2: 46:[22, 2] Operation: 10/5=2
Exploring Operation: 10-5=5, Resulting Numbers: [22, 5]
Generated Node #0,3,3: 46:[22, 5] Operation: 10-5=5
Moving to Node #0,0
Current State: 46:[55, 22, 5], Operations: ['50/10=5']
Exploring Operation: 55/5=11, Resulting Numbers: [22, 11]
Generated Node #0,0,0: 46:[22, 11] Operation: 55/5=11
Exploring Operation: 55-5=50, Resulting Numbers: [22, 50]
Generated Node #0,0,1: 46:[22, 50] Operation: 55-5=50
Exploring Operation: 22+5=27, Resulting Numbers: [55, 27]
Generated Node #0,0,2: 46:[55, 27] Operation: 22+5=27
Exploring Operation: 55-22=33, Resulting Numbers: [5, 33]
Generated Node #0,0,3: 46:[5, 33] Operation: 55-22=33
Moving to Node #0,2
Current State: 46:[55, 22, 40], Operations: ['50-10=40']
Exploring Operation: 40-22=18, Resulting Numbers: [55, 18]
Generated Node #0,2,0: 46:[55, 18] Operation: 40-22=18
Exploring Operation: 22+40=62, Resulting Numbers: [55, 62]
Generated Node #0,2,1: 46:[55, 62] Operation: 22+40=62
Exploring Operation: 55-22=33, Resulting Numbers: [40, 33]
Generated Node #0,2,2: 46:[40, 33] Operation: 55-22=33
Exploring Operation: 55-40=15, Resulting Numbers: [22, 15]
Generated Node #0,2,3: 46:[22, 15] Operation: 55-40=15
Moving to Node #0,3,2
Current State: 46:[22, 2], Operations: ['55-50=5', '10/5=2']
Exploring Operation: 22*2=44, Resulting Numbers: [44]
44,46 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,46 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,46 unequal: No Solution
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,46 unequal: No Solution
Moving to Node #0,3,3
Current State: 46:[22, 5], Operations: ['55-50=5', '10-5=5']
Exploring Operation: 22-5=17, Resulting Numbers: [17]
17,46 unequal: No Solution
Exploring Operation: 22*5=110, Resulting Numbers: [110]
110,46 unequal: No Solution
Exploring Operation: 22+5=27, Resulting Numbers: [27]
27,46 unequal: No Solution
Moving to Node #0,3,0
Current State: 46:[22, 50], Operations: ['55-50=5', '10*5=50']
Exploring Operation: 50-22=28, Resulting Numbers: [28]
28,46 unequal: No Solution
Exploring Operation: 22+50=72, Resulting Numbers: [72]
72,46 unequal: No Solution
Exploring Operation: 22*50=1100, Resulting Numbers: [1100]
1100,46 unequal: No Solution
Moving to Node #0,0,1
Current State: 46:[22, 50], Operations: ['50/10=5', '55-5=50']
Exploring Operation: 50-22=28, Resulting Numbers: [28]
28,46 unequal: No Solution
Exploring Operation: 22*50=1100, Resulting Numbers: [1100]
1100,46 unequal: No Solution
Exploring Operation: 22+50=72, Resulting Numbers: [72]
72,46 unequal: No Solution
Moving to Node #0,3,1
Current State: 46:[22, 15], Operations: ['55-50=5', '10+5=15']
Exploring Operation: 22+15=37, Resulting Numbers: [37]
37,46 unequal: No Solution
Exploring Operation: 22-15=7, Resulting Numbers: [7]
7,46 unequal: No Solution
Exploring Operation: 22*15=330, Resulting Numbers: [330]
330,46 unequal: No Solution
Moving to Node #0,2,3
Current State: 46:[22, 15], Operations: ['50-10=40', '55-40=15']
Exploring Operation: 22+15=37, Resulting Numbers: [37]
37,46 unequal: No Solution
Exploring Operation: 22-15=7, Resulting Numbers: [7]
7,46 unequal: No Solution
Exploring Operation: 22*15=330, Resulting Numbers: [330]
330,46 unequal: No Solution
Moving to Node #0,0,0
Current State: 46:[22, 11], Operations: ['50/10=5', '55/5=11']
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,46 unequal: No Solution
Exploring Operation: 22*11=242, Resulting Numbers: [242]
242,46 unequal: No Solution
Exploring Operation: 22+11=33, Resulting Numbers: [33]
33,46 unequal: No Solution
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,46 unequal: No Solution
Moving to Node #0,0,2
Current State: 46:[55, 27], Operations: ['50/10=5', '22+5=27']
Exploring Operation: 55-27=28, Resulting Numbers: [28]
28,46 unequal: No Solution
Exploring Operation: 55+27=82, Resulting Numbers: [82]
82,46 unequal: No Solution
Exploring Operation: 55*27=1485, Resulting Numbers: [1485]
1485,46 unequal: No Solution
Moving to Node #0,0,3
Current State: 46:[5, 33], Operations: ['50/10=5', '55-22=33']
Exploring Operation: 5*33=165, Resulting Numbers: [165]
165,46 unequal: No Solution
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,46 unequal: No Solution
Exploring Operation: 5+33=38, Resulting Numbers: [38]
38,46 unequal: No Solution
Moving to Node #0,2,0
Current State: 46:[55, 18], Operations: ['50-10=40', '40-22=18']
Exploring Operation: 55+18=73, Resulting Numbers: [73]
73,46 unequal: No Solution
Exploring Operation: 55-18=37, Resulting Numbers: [37]
37,46 unequal: No Solution
Exploring Operation: 55*18=990, Resulting Numbers: [990]
990,46 unequal: No Solution
Moving to Node #0,2,2
Current State: 46:[40, 33], Operations: ['50-10=40', '55-22=33']
Exploring Operation: 40*33=1320, Resulting Numbers: [1320]
1320,46 unequal: No Solution
Exploring Operation: 40+33=73, Resulting Numbers: [73]
73,46 unequal: No Solution
Exploring Operation: 40-33=7, Resulting Numbers: [7]
7,46 unequal: No Solution
Moving to Node #0,2,1
Current State: 46:[55, 62], Operations: ['50-10=40', '22+40=62']
Exploring Operation: 55+62=117, Resulting Numbers: [117]
117,46 unequal: No Solution
Exploring Operation: 55*62=3410, Resulting Numbers: [3410]
3410,46 unequal: No Solution
Exploring Operation: 62-55=7, Resulting Numbers: [7]
7,46 unequal: No Solution
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
[
32,
49,
57,
25
] | 100
|
[
"32*25=800",
"57-49=8",
"800/8=100"
] |
Current State: 100:[32, 49, 57, 25], Operations: []
Exploring Operation: 32*25=800, Resulting Numbers: [49, 57, 800]
Generated Node #2: [49, 57, 800] from Operation: 32*25=800
Current State: 100:[49, 57, 800], Operations: ['32*25=800']
Exploring Operation: 57-49=8, Resulting Numbers: [800, 8]
Generated Node #3: [800, 8] from Operation: 57-49=8
Current State: 100:[800, 8], Operations: ['32*25=800', '57-49=8']
Exploring Operation: 800/8=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4
|
Current State: 100:[32, 49, 57, 25], Operations: []
Exploring Operation: 32-25=7, Resulting Numbers: [49, 57, 7]
Generated Node #0,0: 100:[49, 57, 7] Operation: 32-25=7
Exploring Operation: 49-32=17, Resulting Numbers: [57, 25, 17]
Generated Node #0,1: 100:[57, 25, 17] Operation: 49-32=17
Exploring Operation: 57-32=25, Resulting Numbers: [49, 25, 25]
Generated Node #0,2: 100:[49, 25, 25] Operation: 57-32=25
Exploring Operation: 57-49=8, Resulting Numbers: [32, 25, 8]
Generated Node #0,3: 100:[32, 25, 8] Operation: 57-49=8
Moving to Node #0,2
Current State: 100:[49, 25, 25], Operations: ['57-32=25']
Exploring Operation: 25+25=50, Resulting Numbers: [49, 50]
Generated Node #0,2,0: 100:[49, 50] Operation: 25+25=50
Exploring Operation: 25/25=1, Resulting Numbers: [49, 1]
Generated Node #0,2,1: 100:[49, 1] Operation: 25/25=1
Exploring Operation: 49-25=24, Resulting Numbers: [25, 24]
Generated Node #0,2,2: 100:[25, 24] Operation: 49-25=24
Exploring Operation: 49-25=24, Resulting Numbers: [25, 24]
Generated Node #0,2,3: 100:[25, 24] Operation: 49-25=24
Moving to Node #0,3
Current State: 100:[32, 25, 8], Operations: ['57-49=8']
Exploring Operation: 32/8=4, Resulting Numbers: [25, 4]
Generated Node #0,3,0: 100:[25, 4] Operation: 32/8=4
Exploring Operation: 32-25=7, Resulting Numbers: [8, 7]
Generated Node #0,3,1: 100:[8, 7] Operation: 32-25=7
Exploring Operation: 32+25=57, Resulting Numbers: [8, 57]
Generated Node #0,3,2: 100:[8, 57] Operation: 32+25=57
Exploring Operation: 32-8=24, Resulting Numbers: [25, 24]
Generated Node #0,3,3: 100:[25, 24] Operation: 32-8=24
Moving to Node #0,1
Current State: 100:[57, 25, 17], Operations: ['49-32=17']
Exploring Operation: 25-17=8, Resulting Numbers: [57, 8]
Generated Node #0,1,0: 100:[57, 8] Operation: 25-17=8
Exploring Operation: 25+17=42, Resulting Numbers: [57, 42]
Generated Node #0,1,1: 100:[57, 42] Operation: 25+17=42
Exploring Operation: 57-25=32, Resulting Numbers: [17, 32]
Generated Node #0,1,2: 100:[17, 32] Operation: 57-25=32
Exploring Operation: 57-17=40, Resulting Numbers: [25, 40]
Generated Node #0,1,3: 100:[25, 40] Operation: 57-17=40
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 100:[57, 8], Operations: ['49-32=17', '25-17=8']
Exploring Operation: 57+8=65, Resulting Numbers: [65]
65,100 unequal: No Solution
Exploring Operation: 57*8=456, Resulting Numbers: [456]
456,100 unequal: No Solution
Exploring Operation: 57-8=49, Resulting Numbers: [49]
49,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 100:[17, 32], Operations: ['49-32=17', '57-25=32']
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,100 unequal: No Solution
Exploring Operation: 17+32=49, Resulting Numbers: [49]
49,100 unequal: No Solution
Exploring Operation: 17*32=544, Resulting Numbers: [544]
544,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 100:[25, 40], Operations: ['49-32=17', '57-17=40']
Exploring Operation: 25*40=1000, Resulting Numbers: [1000]
1000,100 unequal: No Solution
Exploring Operation: 25+40=65, Resulting Numbers: [65]
65,100 unequal: No Solution
Exploring Operation: 40-25=15, Resulting Numbers: [15]
15,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 100:[57, 42], Operations: ['49-32=17', '25+17=42']
Exploring Operation: 57*42=2394, Resulting Numbers: [2394]
2394,100 unequal: No Solution
Exploring Operation: 57+42=99, Resulting Numbers: [99]
99,100 unequal: No Solution
Exploring Operation: 57-42=15, Resulting Numbers: [15]
15,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 100:[49, 57, 7], Operations: ['32-25=7']
Exploring Operation: 49+57=106, Resulting Numbers: [7, 106]
Generated Node #0,0,0: 100:[7, 106] Operation: 49+57=106
Exploring Operation: 57-7=50, Resulting Numbers: [49, 50]
Generated Node #0,0,1: 100:[49, 50] Operation: 57-7=50
Exploring Operation: 49/7=7, Resulting Numbers: [57, 7]
Generated Node #0,0,2: 100:[57, 7] Operation: 49/7=7
Exploring Operation: 57-49=8, Resulting Numbers: [7, 8]
Generated Node #0,0,3: 100:[7, 8] Operation: 57-49=8
Moving to Node #0,3,0
Current State: 100:[25, 4], Operations: ['57-49=8', '32/8=4']
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[32, 49, 57, 25], Operations: []
Exploring Operation: 57-49=8, Resulting Numbers: [32, 25, 8]
Generated Node #0,3: 100:[32, 25, 8] Operation: 57-49=8
Moving to Node #0,3
Current State: 100:[32, 25, 8], Operations: ['57-49=8']
Exploring Operation: 32/8=4, Resulting Numbers: [25, 4]
Generated Node #0,3,0: 100:[25, 4] Operation: 32/8=4
Moving to Node #0,3,0
Current State: 100:[25, 4], Operations: ['57-49=8', '32/8=4']
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 0.967882
|
hs_4
|
mult_heuristic
|
[
93,
36,
87,
89
] | 47
|
[
"93+36=129",
"87+89=176",
"176-129=47"
] |
Current State: 47:[93, 36, 87, 89], Operations: []
Exploring Operation: 93+36=129, Resulting Numbers: [87, 89, 129]
Generated Node #2: [87, 89, 129] from Operation: 93+36=129
Current State: 47:[87, 89, 129], Operations: ['93+36=129']
Exploring Operation: 87+89=176, Resulting Numbers: [129, 176]
Generated Node #3: [129, 176] from Operation: 87+89=176
Current State: 47:[129, 176], Operations: ['93+36=129', '87+89=176']
Exploring Operation: 176-129=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4
|
Current State: 47:[93, 36, 87, 89], Operations: []
Exploring Operation: 93-36=57, Resulting Numbers: [87, 89, 57]
Generated Node #0,0: 47:[87, 89, 57] Operation: 93-36=57
Exploring Operation: 89-36=53, Resulting Numbers: [93, 87, 53]
Generated Node #0,1: 47:[93, 87, 53] Operation: 89-36=53
Exploring Operation: 87-36=51, Resulting Numbers: [93, 89, 51]
Generated Node #0,2: 47:[93, 89, 51] Operation: 87-36=51
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[87, 89, 57], Operations: ['93-36=57']
Exploring Operation: 89-57=32, Resulting Numbers: [87, 32]
Generated Node #0,0,0: 47:[87, 32] Operation: 89-57=32
Exploring Operation: 89-87=2, Resulting Numbers: [57, 2]
Generated Node #0,0,1: 47:[57, 2] Operation: 89-87=2
Exploring Operation: 87-57=30, Resulting Numbers: [89, 30]
Generated Node #0,0,2: 47:[89, 30] Operation: 87-57=30
Moving to Node #0,0,0
Current State: 47:[87, 32], Operations: ['93-36=57', '89-57=32']
Exploring Operation: 87+32=119, Resulting Numbers: [119]
119,47 unequal: No Solution
Exploring Operation: 87-32=55, Resulting Numbers: [55]
55,47 unequal: No Solution
Exploring Operation: 87*32=2784, Resulting Numbers: [2784]
2784,47 unequal: No Solution
Moving to Node #0,0,1
Current State: 47:[57, 2], Operations: ['93-36=57', '89-87=2']
Exploring Operation: 57+2=59, Resulting Numbers: [59]
59,47 unequal: No Solution
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,47 unequal: No Solution
Exploring Operation: 57*2=114, Resulting Numbers: [114]
114,47 unequal: No Solution
Moving to Node #0,0,2
Current State: 47:[89, 30], Operations: ['93-36=57', '87-57=30']
Exploring Operation: 89*30=2670, Resulting Numbers: [2670]
2670,47 unequal: No Solution
Exploring Operation: 89-30=59, Resulting Numbers: [59]
59,47 unequal: No Solution
Exploring Operation: 89+30=119, Resulting Numbers: [119]
119,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[93, 87, 53], Operations: ['89-36=53']
Exploring Operation: 93-87=6, Resulting Numbers: [53, 6]
Generated Node #0,1,0: 47:[53, 6] Operation: 93-87=6
Exploring Operation: 93-53=40, Resulting Numbers: [87, 40]
Generated Node #0,1,1: 47:[87, 40] Operation: 93-53=40
Exploring Operation: 87-53=34, Resulting Numbers: [93, 34]
Generated Node #0,1,2: 47:[93, 34] Operation: 87-53=34
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 47:[53, 6], Operations: ['89-36=53', '93-87=6']
Exploring Operation: 53*6=318, Resulting Numbers: [318]
318,47 unequal: No Solution
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[93, 36, 87, 89], Operations: []
Exploring Operation: 89-36=53, Resulting Numbers: [93, 87, 53]
Generated Node #0,1: 47:[93, 87, 53] Operation: 89-36=53
Moving to Node #0,1
Current State: 47:[93, 87, 53], Operations: ['89-36=53']
Exploring Operation: 93-87=6, Resulting Numbers: [53, 6]
Generated Node #0,1,0: 47:[53, 6] Operation: 93-87=6
Moving to Node #0,1,0
Current State: 47:[53, 6], Operations: ['89-36=53', '93-87=6']
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.979167
|
hs_3
|
sum_heuristic
|
[
73,
3,
23,
86
] | 54
|
[
"73+23=96",
"96/3=32",
"86-32=54"
] |
Current State: 54:[73, 3, 23, 86], Operations: []
Exploring Operation: 73+23=96, Resulting Numbers: [3, 86, 96]
Generated Node #2: [3, 86, 96] from Operation: 73+23=96
Current State: 54:[3, 86, 96], Operations: ['73+23=96']
Exploring Operation: 96/3=32, Resulting Numbers: [86, 32]
Generated Node #3: [86, 32] from Operation: 96/3=32
Current State: 54:[86, 32], Operations: ['73+23=96', '96/3=32']
Exploring Operation: 86-32=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4
|
Current State: 54:[73, 3, 23, 86], Operations: []
Exploring Operation: 86-73=13, Resulting Numbers: [3, 23, 13]
Generated Node #0,0: 54:[3, 23, 13] Operation: 86-73=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[3, 23, 13], Operations: ['86-73=13']
Exploring Operation: 23-13=10, Resulting Numbers: [3, 10]
Generated Node #0,0,0: 54:[3, 10] Operation: 23-13=10
Moving to Node #0,0,0
Current State: 54:[3, 10], Operations: ['86-73=13', '23-13=10']
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
38,
58,
61,
42
] | 92
|
[
"58*61=3538",
"3538-42=3496",
"3496/38=92"
] |
Current State: 92:[38, 58, 61, 42], Operations: []
Exploring Operation: 58*61=3538, Resulting Numbers: [38, 42, 3538]
Generated Node #2: [38, 42, 3538] from Operation: 58*61=3538
Current State: 92:[38, 42, 3538], Operations: ['58*61=3538']
Exploring Operation: 3538-42=3496, Resulting Numbers: [38, 3496]
Generated Node #3: [38, 3496] from Operation: 3538-42=3496
Current State: 92:[38, 3496], Operations: ['58*61=3538', '3538-42=3496']
Exploring Operation: 3496/38=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4
|
Current State: 92:[38, 58, 61, 42], Operations: []
Exploring Operation: 61-58=3, Resulting Numbers: [38, 42, 3]
Generated Node #0,0: 92:[38, 42, 3] Operation: 61-58=3
Exploring Operation: 61-38=23, Resulting Numbers: [58, 42, 23]
Generated Node #0,1: 92:[58, 42, 23] Operation: 61-38=23
Moving to Node #0,0
Current State: 92:[38, 42, 3], Operations: ['61-58=3']
Exploring Operation: 42-38=4, Resulting Numbers: [3, 4]
Generated Node #0,0,0: 92:[3, 4] Operation: 42-38=4
Exploring Operation: 38+3=41, Resulting Numbers: [42, 41]
Generated Node #0,0,1: 92:[42, 41] Operation: 38+3=41
Moving to Node #0,1
Current State: 92:[58, 42, 23], Operations: ['61-38=23']
Exploring Operation: 58-42=16, Resulting Numbers: [23, 16]
Generated Node #0,1,0: 92:[23, 16] Operation: 58-42=16
Exploring Operation: 58+42=100, Resulting Numbers: [23, 100]
Generated Node #0,1,1: 92:[23, 100] Operation: 58+42=100
Moving to Node #0,0,0
Current State: 92:[3, 4], Operations: ['61-58=3', '42-38=4']
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,92 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Moving to Node #0,1,0
Current State: 92:[23, 16], Operations: ['61-38=23', '58-42=16']
Exploring Operation: 23-16=7, Resulting Numbers: [7]
7,92 unequal: No Solution
Exploring Operation: 23+16=39, Resulting Numbers: [39]
39,92 unequal: No Solution
Moving to Node #0,1,1
Current State: 92:[23, 100], Operations: ['61-38=23', '58+42=100']
Exploring Operation: 23+100=123, Resulting Numbers: [123]
123,92 unequal: No Solution
Exploring Operation: 100-23=77, Resulting Numbers: [77]
77,92 unequal: No Solution
Moving to Node #0,0,1
Current State: 92:[42, 41], Operations: ['61-58=3', '38+3=41']
Exploring Operation: 42-41=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Exploring Operation: 42+41=83, Resulting Numbers: [83]
83,92 unequal: No Solution
No solution found.
| 0
|
hs_2
|
sum_heuristic
|
[
4,
95,
29,
17
] | 14
|
[
"95+29=124",
"124/4=31",
"31-17=14"
] |
Current State: 14:[4, 95, 29, 17], Operations: []
Exploring Operation: 95+29=124, Resulting Numbers: [4, 17, 124]
Generated Node #2: [4, 17, 124] from Operation: 95+29=124
Current State: 14:[4, 17, 124], Operations: ['95+29=124']
Exploring Operation: 124/4=31, Resulting Numbers: [17, 31]
Generated Node #3: [17, 31] from Operation: 124/4=31
Current State: 14:[17, 31], Operations: ['95+29=124', '124/4=31']
Exploring Operation: 31-17=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4
|
Current State: 14:[4, 95, 29, 17], Operations: []
Exploring Operation: 95-29=66, Resulting Numbers: [4, 17, 66]
Generated Node #0,0: 14:[4, 17, 66] Operation: 95-29=66
Moving to Node #0,0
Current State: 14:[4, 17, 66], Operations: ['95-29=66']
Exploring Operation: 66-17=49, Resulting Numbers: [4, 49]
Generated Node #0,0,0: 14:[4, 49] Operation: 66-17=49
Moving to Node #0,0,0
Current State: 14:[4, 49], Operations: ['95-29=66', '66-17=49']
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,14 unequal: No Solution
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
27,
36,
6,
78
] | 76
|
[
"27+36=63",
"78/6=13",
"63+13=76"
] |
Current State: 76:[27, 36, 6, 78], Operations: []
Exploring Operation: 27+36=63, Resulting Numbers: [6, 78, 63]
Generated Node #2: [6, 78, 63] from Operation: 27+36=63
Current State: 76:[6, 78, 63], Operations: ['27+36=63']
Exploring Operation: 78/6=13, Resulting Numbers: [63, 13]
Generated Node #3: [63, 13] from Operation: 78/6=13
Current State: 76:[63, 13], Operations: ['27+36=63', '78/6=13']
Exploring Operation: 63+13=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4
|
Current State: 76:[27, 36, 6, 78], Operations: []
Exploring Operation: 27-6=21, Resulting Numbers: [36, 78, 21]
Generated Node #0,0: 76:[36, 78, 21] Operation: 27-6=21
Moving to Node #0,0
Current State: 76:[36, 78, 21], Operations: ['27-6=21']
Exploring Operation: 78-36=42, Resulting Numbers: [21, 42]
Generated Node #0,0,0: 76:[21, 42] Operation: 78-36=42
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 76:[21, 42], Operations: ['27-6=21', '78-36=42']
Exploring Operation: 42/21=2, Resulting Numbers: [2]
2,76 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
|
[
54,
22,
90,
88
] | 49
|
[
"90-88=2",
"54/2=27",
"22+27=49"
] |
Current State: 49:[54, 22, 90, 88], Operations: []
Exploring Operation: 90-88=2, Resulting Numbers: [54, 22, 2]
Generated Node #2: [54, 22, 2] from Operation: 90-88=2
Current State: 49:[54, 22, 2], Operations: ['90-88=2']
Exploring Operation: 54/2=27, Resulting Numbers: [22, 27]
Generated Node #3: [22, 27] from Operation: 54/2=27
Current State: 49:[22, 27], Operations: ['90-88=2', '54/2=27']
Exploring Operation: 22+27=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4
|
Current State: 49:[54, 22, 90, 88], Operations: []
Exploring Operation: 88-22=66, Resulting Numbers: [54, 90, 66]
Generated Node #0,0: 49:[54, 90, 66] Operation: 88-22=66
Exploring Operation: 90-22=68, Resulting Numbers: [54, 88, 68]
Generated Node #0,1: 49:[54, 88, 68] Operation: 90-22=68
Exploring Operation: 90-88=2, Resulting Numbers: [54, 22, 2]
Generated Node #0,2: 49:[54, 22, 2] Operation: 90-88=2
Exploring Operation: 88/22=4, Resulting Numbers: [54, 90, 4]
Generated Node #0,3: 49:[54, 90, 4] Operation: 88/22=4
Moving to Node #0,2
Current State: 49:[54, 22, 2], Operations: ['90-88=2']
Exploring Operation: 22*2=44, Resulting Numbers: [54, 44]
Generated Node #0,2,0: 49:[54, 44] Operation: 22*2=44
Exploring Operation: 22-2=20, Resulting Numbers: [54, 20]
Generated Node #0,2,1: 49:[54, 20] Operation: 22-2=20
Exploring Operation: 54-2=52, Resulting Numbers: [22, 52]
Generated Node #0,2,2: 49:[22, 52] Operation: 54-2=52
Exploring Operation: 22/2=11, Resulting Numbers: [54, 11]
Generated Node #0,2,3: 49:[54, 11] Operation: 22/2=11
Moving to Node #0,3
Current State: 49:[54, 90, 4], Operations: ['88/22=4']
Exploring Operation: 54-4=50, Resulting Numbers: [90, 50]
Generated Node #0,3,0: 49:[90, 50] Operation: 54-4=50
Exploring Operation: 90-54=36, Resulting Numbers: [4, 36]
Generated Node #0,3,1: 49:[4, 36] Operation: 90-54=36
Exploring Operation: 54+4=58, Resulting Numbers: [90, 58]
Generated Node #0,3,2: 49:[90, 58] Operation: 54+4=58
Exploring Operation: 90-4=86, Resulting Numbers: [54, 86]
Generated Node #0,3,3: 49:[54, 86] Operation: 90-4=86
Moving to Node #0,1
Current State: 49:[54, 88, 68], Operations: ['90-22=68']
Exploring Operation: 88-68=20, Resulting Numbers: [54, 20]
Generated Node #0,1,0: 49:[54, 20] Operation: 88-68=20
Exploring Operation: 68-54=14, Resulting Numbers: [88, 14]
Generated Node #0,1,1: 49:[88, 14] Operation: 68-54=14
Exploring Operation: 54+88=142, Resulting Numbers: [68, 142]
Generated Node #0,1,2: 49:[68, 142] Operation: 54+88=142
Exploring Operation: 88-54=34, Resulting Numbers: [68, 34]
Generated Node #0,1,3: 49:[68, 34] Operation: 88-54=34
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 49:[54, 20], Operations: ['90-22=68', '88-68=20']
Exploring Operation: 54*20=1080, Resulting Numbers: [1080]
1080,49 unequal: No Solution
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,49 unequal: No Solution
Exploring Operation: 54+20=74, Resulting Numbers: [74]
74,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 49:[68, 34], Operations: ['90-22=68', '88-54=34']
Exploring Operation: 68+34=102, Resulting Numbers: [102]
102,49 unequal: No Solution
Exploring Operation: 68-34=34, Resulting Numbers: [34]
34,49 unequal: No Solution
Exploring Operation: 68*34=2312, Resulting Numbers: [2312]
2312,49 unequal: No Solution
Exploring Operation: 68/34=2, Resulting Numbers: [2]
2,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 49:[88, 14], Operations: ['90-22=68', '68-54=14']
Exploring Operation: 88*14=1232, Resulting Numbers: [1232]
1232,49 unequal: No Solution
Exploring Operation: 88+14=102, Resulting Numbers: [102]
102,49 unequal: No Solution
Exploring Operation: 88-14=74, Resulting Numbers: [74]
74,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 49:[68, 142], Operations: ['90-22=68', '54+88=142']
Exploring Operation: 68*142=9656, Resulting Numbers: [9656]
9656,49 unequal: No Solution
Exploring Operation: 142-68=74, Resulting Numbers: [74]
74,49 unequal: No Solution
Exploring Operation: 68+142=210, Resulting Numbers: [210]
210,49 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: 49:[54, 90, 66], Operations: ['88-22=66']
Exploring Operation: 54+90=144, Resulting Numbers: [66, 144]
Generated Node #0,0,0: 49:[66, 144] Operation: 54+90=144
Exploring Operation: 90-66=24, Resulting Numbers: [54, 24]
Generated Node #0,0,1: 49:[54, 24] Operation: 90-66=24
Exploring Operation: 90-54=36, Resulting Numbers: [66, 36]
Generated Node #0,0,2: 49:[66, 36] Operation: 90-54=36
Exploring Operation: 66-54=12, Resulting Numbers: [90, 12]
Generated Node #0,0,3: 49:[90, 12] Operation: 66-54=12
Moving to Node #0,2,3
Current State: 49:[54, 11], Operations: ['90-88=2', '22/2=11']
Exploring Operation: 54+11=65, Resulting Numbers: [65]
65,49 unequal: No Solution
Exploring Operation: 54-11=43, Resulting Numbers: [43]
43,49 unequal: No Solution
Exploring Operation: 54*11=594, Resulting Numbers: [594]
594,49 unequal: No Solution
Moving to Node #0,2,0
Current State: 49:[54, 44], Operations: ['90-88=2', '22*2=44']
Exploring Operation: 54*44=2376, Resulting Numbers: [2376]
2376,49 unequal: No Solution
Exploring Operation: 54-44=10, Resulting Numbers: [10]
10,49 unequal: No Solution
Exploring Operation: 54+44=98, Resulting Numbers: [98]
98,49 unequal: No Solution
Moving to Node #0,3,1
Current State: 49:[4, 36], Operations: ['88/22=4', '90-54=36']
Exploring Operation: 4*36=144, Resulting Numbers: [144]
144,49 unequal: No Solution
Exploring Operation: 4+36=40, Resulting Numbers: [40]
40,49 unequal: No Solution
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,49 unequal: No Solution
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Moving to Node #0,2,1
Current State: 49:[54, 20], Operations: ['90-88=2', '22-2=20']
Exploring Operation: 54*20=1080, Resulting Numbers: [1080]
1080,49 unequal: No Solution
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,49 unequal: No Solution
Exploring Operation: 54+20=74, Resulting Numbers: [74]
74,49 unequal: No Solution
Moving to Node #0,2,2
Current State: 49:[22, 52], Operations: ['90-88=2', '54-2=52']
Exploring Operation: 22+52=74, Resulting Numbers: [74]
74,49 unequal: No Solution
Exploring Operation: 22*52=1144, Resulting Numbers: [1144]
1144,49 unequal: No Solution
Exploring Operation: 52-22=30, Resulting Numbers: [30]
30,49 unequal: No Solution
Moving to Node #0,0,1
Current State: 49:[54, 24], Operations: ['88-22=66', '90-66=24']
Exploring Operation: 54-24=30, Resulting Numbers: [30]
30,49 unequal: No Solution
Exploring Operation: 54*24=1296, Resulting Numbers: [1296]
1296,49 unequal: No Solution
Exploring Operation: 54+24=78, Resulting Numbers: [78]
78,49 unequal: No Solution
Moving to Node #0,0,2
Current State: 49:[66, 36], Operations: ['88-22=66', '90-54=36']
Exploring Operation: 66+36=102, Resulting Numbers: [102]
102,49 unequal: No Solution
Exploring Operation: 66*36=2376, Resulting Numbers: [2376]
2376,49 unequal: No Solution
Exploring Operation: 66-36=30, Resulting Numbers: [30]
30,49 unequal: No Solution
Moving to Node #0,3,3
Current State: 49:[54, 86], Operations: ['88/22=4', '90-4=86']
Exploring Operation: 86-54=32, Resulting Numbers: [32]
32,49 unequal: No Solution
Exploring Operation: 54+86=140, Resulting Numbers: [140]
140,49 unequal: No Solution
Exploring Operation: 54*86=4644, Resulting Numbers: [4644]
4644,49 unequal: No Solution
Moving to Node #0,3,0
Current State: 49:[90, 50], Operations: ['88/22=4', '54-4=50']
Exploring Operation: 90+50=140, Resulting Numbers: [140]
140,49 unequal: No Solution
Exploring Operation: 90*50=4500, Resulting Numbers: [4500]
4500,49 unequal: No Solution
Exploring Operation: 90-50=40, Resulting Numbers: [40]
40,49 unequal: No Solution
Moving to Node #0,0,3
Current State: 49:[90, 12], Operations: ['88-22=66', '66-54=12']
Exploring Operation: 90*12=1080, Resulting Numbers: [1080]
1080,49 unequal: No Solution
Exploring Operation: 90-12=78, Resulting Numbers: [78]
78,49 unequal: No Solution
Exploring Operation: 90+12=102, Resulting Numbers: [102]
102,49 unequal: No Solution
Moving to Node #0,3,2
Current State: 49:[90, 58], Operations: ['88/22=4', '54+4=58']
Exploring Operation: 90-58=32, Resulting Numbers: [32]
32,49 unequal: No Solution
Exploring Operation: 90*58=5220, Resulting Numbers: [5220]
5220,49 unequal: No Solution
Exploring Operation: 90+58=148, Resulting Numbers: [148]
148,49 unequal: No Solution
Moving to Node #0,0,0
Current State: 49:[66, 144], Operations: ['88-22=66', '54+90=144']
Exploring Operation: 144-66=78, Resulting Numbers: [78]
78,49 unequal: No Solution
Exploring Operation: 66*144=9504, Resulting Numbers: [9504]
9504,49 unequal: No Solution
Exploring Operation: 66+144=210, Resulting Numbers: [210]
210,49 unequal: No Solution
No solution found.
| 0
|
hs_4
|
sum_heuristic
|
[
29,
60,
24,
91
] | 13
|
[
"60-29=31",
"31-24=7",
"91/7=13"
] |
Current State: 13:[29, 60, 24, 91], Operations: []
Exploring Operation: 60-29=31, Resulting Numbers: [24, 91, 31]
Generated Node #2: [24, 91, 31] from Operation: 60-29=31
Current State: 13:[24, 91, 31], Operations: ['60-29=31']
Exploring Operation: 31-24=7, Resulting Numbers: [91, 7]
Generated Node #3: [91, 7] from Operation: 31-24=7
Current State: 13:[91, 7], Operations: ['60-29=31', '31-24=7']
Exploring Operation: 91/7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4
|
Current State: 13:[29, 60, 24, 91], Operations: []
Exploring Operation: 91-60=31, Resulting Numbers: [29, 24, 31]
Generated Node #0,0: 13:[29, 24, 31] Operation: 91-60=31
Exploring Operation: 91-24=67, Resulting Numbers: [29, 60, 67]
Generated Node #0,1: 13:[29, 60, 67] Operation: 91-24=67
Exploring Operation: 60-24=36, Resulting Numbers: [29, 91, 36]
Generated Node #0,2: 13:[29, 91, 36] Operation: 60-24=36
Exploring Operation: 60-29=31, Resulting Numbers: [24, 91, 31]
Generated Node #0,3: 13:[24, 91, 31] Operation: 60-29=31
Exploring Operation: 91-29=62, Resulting Numbers: [60, 24, 62]
Generated Node #0,4: 13:[60, 24, 62] Operation: 91-29=62
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[29, 24, 31], Operations: ['91-60=31']
Exploring Operation: 29+31=60, Resulting Numbers: [24, 60]
Generated Node #0,0,0: 13:[24, 60] Operation: 29+31=60
Exploring Operation: 31-29=2, Resulting Numbers: [24, 2]
Generated Node #0,0,1: 13:[24, 2] Operation: 31-29=2
Exploring Operation: 31-24=7, Resulting Numbers: [29, 7]
Generated Node #0,0,2: 13:[29, 7] Operation: 31-24=7
Exploring Operation: 29+24=53, Resulting Numbers: [31, 53]
Generated Node #0,0,3: 13:[31, 53] Operation: 29+24=53
Exploring Operation: 29-24=5, Resulting Numbers: [31, 5]
Generated Node #0,0,4: 13:[31, 5] Operation: 29-24=5
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 13:[24, 2], Operations: ['91-60=31', '31-29=2']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,13 unequal: No Solution
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,13 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,13 unequal: No Solution
Exploring Operation: 24*2=48, Resulting Numbers: [48]
48,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 13:[29, 7], Operations: ['91-60=31', '31-24=7']
Exploring Operation: 29*7=203, Resulting Numbers: [203]
203,13 unequal: No Solution
Exploring Operation: 29-7=22, Resulting Numbers: [22]
22,13 unequal: No Solution
Exploring Operation: 29+7=36, Resulting Numbers: [36]
36,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 13:[31, 5], Operations: ['91-60=31', '29-24=5']
Exploring Operation: 31*5=155, Resulting Numbers: [155]
155,13 unequal: No Solution
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,13 unequal: No Solution
Exploring Operation: 31+5=36, Resulting Numbers: [36]
36,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 13:[24, 60], Operations: ['91-60=31', '29+31=60']
Exploring Operation: 60-24=36, Resulting Numbers: [36]
36,13 unequal: No Solution
Exploring Operation: 24*60=1440, Resulting Numbers: [1440]
1440,13 unequal: No Solution
Exploring Operation: 24+60=84, Resulting Numbers: [84]
84,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 13:[31, 53], Operations: ['91-60=31', '29+24=53']
Exploring Operation: 53-31=22, Resulting Numbers: [22]
22,13 unequal: No Solution
Exploring Operation: 31*53=1643, Resulting Numbers: [1643]
1643,13 unequal: No Solution
Exploring Operation: 31+53=84, Resulting Numbers: [84]
84,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 13:[24, 91, 31], Operations: ['60-29=31']
Exploring Operation: 24+31=55, Resulting Numbers: [91, 55]
Generated Node #0,3,0: 13:[91, 55] Operation: 24+31=55
Exploring Operation: 91-31=60, Resulting Numbers: [24, 60]
Generated Node #0,3,1: 13:[24, 60] Operation: 91-31=60
Exploring Operation: 31-24=7, Resulting Numbers: [91, 7]
Generated Node #0,3,2: 13:[91, 7] Operation: 31-24=7
Exploring Operation: 24+91=115, Resulting Numbers: [31, 115]
Generated Node #0,3,3: 13:[31, 115] Operation: 24+91=115
Exploring Operation: 91-24=67, Resulting Numbers: [31, 67]
Generated Node #0,3,4: 13:[31, 67] Operation: 91-24=67
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 13:[24, 60], Operations: ['60-29=31', '91-31=60']
Exploring Operation: 24+60=84, Resulting Numbers: [84]
84,13 unequal: No Solution
Exploring Operation: 60-24=36, Resulting Numbers: [36]
36,13 unequal: No Solution
Exploring Operation: 24*60=1440, Resulting Numbers: [1440]
1440,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 13:[31, 67], Operations: ['60-29=31', '91-24=67']
Exploring Operation: 67-31=36, Resulting Numbers: [36]
36,13 unequal: No Solution
Exploring Operation: 31+67=98, Resulting Numbers: [98]
98,13 unequal: No Solution
Exploring Operation: 31*67=2077, Resulting Numbers: [2077]
2077,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 13:[91, 7], Operations: ['60-29=31', '31-24=7']
Exploring Operation: 91*7=637, Resulting Numbers: [637]
637,13 unequal: No Solution
Exploring Operation: 91+7=98, Resulting Numbers: [98]
98,13 unequal: No Solution
Exploring Operation: 91-7=84, Resulting Numbers: [84]
84,13 unequal: No Solution
Exploring Operation: 91/7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[29, 60, 24, 91], Operations: []
Exploring Operation: 60-29=31, Resulting Numbers: [24, 91, 31]
Generated Node #0,3: 13:[24, 91, 31] Operation: 60-29=31
Moving to Node #0,3
Current State: 13:[24, 91, 31], Operations: ['60-29=31']
Exploring Operation: 31-24=7, Resulting Numbers: [91, 7]
Generated Node #0,3,2: 13:[91, 7] Operation: 31-24=7
Moving to Node #0,3,2
Current State: 13:[91, 7], Operations: ['60-29=31', '31-24=7']
Exploring Operation: 91/7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.960938
|
hs_5
|
mult_heuristic
|
[
13,
74,
97,
59
] | 95
|
[
"74-13=61",
"97+59=156",
"156-61=95"
] |
Current State: 95:[13, 74, 97, 59], Operations: []
Exploring Operation: 74-13=61, Resulting Numbers: [97, 59, 61]
Generated Node #2: [97, 59, 61] from Operation: 74-13=61
Current State: 95:[97, 59, 61], Operations: ['74-13=61']
Exploring Operation: 97+59=156, Resulting Numbers: [61, 156]
Generated Node #3: [61, 156] from Operation: 97+59=156
Current State: 95:[61, 156], Operations: ['74-13=61', '97+59=156']
Exploring Operation: 156-61=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4
|
Current State: 95:[13, 74, 97, 59], Operations: []
Exploring Operation: 13+74=87, Resulting Numbers: [97, 59, 87]
Generated Node #0,0: 95:[97, 59, 87] Operation: 13+74=87
Exploring Operation: 74+59=133, Resulting Numbers: [13, 97, 133]
Generated Node #0,1: 95:[13, 97, 133] Operation: 74+59=133
Exploring Operation: 97-74=23, Resulting Numbers: [13, 59, 23]
Generated Node #0,2: 95:[13, 59, 23] Operation: 97-74=23
Exploring Operation: 13+59=72, Resulting Numbers: [74, 97, 72]
Generated Node #0,3: 95:[74, 97, 72] Operation: 13+59=72
Exploring Operation: 74-59=15, Resulting Numbers: [13, 97, 15]
Generated Node #0,4: 95:[13, 97, 15] Operation: 74-59=15
Moving to Node #0,4
Current State: 95:[13, 97, 15], Operations: ['74-59=15']
Exploring Operation: 13+15=28, Resulting Numbers: [97, 28]
Generated Node #0,4,0: 95:[97, 28] Operation: 13+15=28
Exploring Operation: 97-13=84, Resulting Numbers: [15, 84]
Generated Node #0,4,1: 95:[15, 84] Operation: 97-13=84
Exploring Operation: 13+97=110, Resulting Numbers: [15, 110]
Generated Node #0,4,2: 95:[15, 110] Operation: 13+97=110
Exploring Operation: 15-13=2, Resulting Numbers: [97, 2]
Generated Node #0,4,3: 95:[97, 2] Operation: 15-13=2
Exploring Operation: 97-15=82, Resulting Numbers: [13, 82]
Generated Node #0,4,4: 95:[13, 82] Operation: 97-15=82
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 95:[97, 2], Operations: ['74-59=15', '15-13=2']
Exploring Operation: 97+2=99, Resulting Numbers: [99]
99,95 unequal: No Solution
Exploring Operation: 97*2=194, Resulting Numbers: [194]
194,95 unequal: No Solution
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[13, 74, 97, 59], Operations: []
Exploring Operation: 74-59=15, Resulting Numbers: [13, 97, 15]
Generated Node #0,4: 95:[13, 97, 15] Operation: 74-59=15
Moving to Node #0,4
Current State: 95:[13, 97, 15], Operations: ['74-59=15']
Exploring Operation: 15-13=2, Resulting Numbers: [97, 2]
Generated Node #0,4,3: 95:[97, 2] Operation: 15-13=2
Moving to Node #0,4,3
Current State: 95:[97, 2], Operations: ['74-59=15', '15-13=2']
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243
|
hs_5
|
sum_heuristic
|
[
15,
35,
70,
81
] | 39
|
[
"15+35=50",
"81-70=11",
"50-11=39"
] |
Current State: 39:[15, 35, 70, 81], Operations: []
Exploring Operation: 15+35=50, Resulting Numbers: [70, 81, 50]
Generated Node #2: [70, 81, 50] from Operation: 15+35=50
Current State: 39:[70, 81, 50], Operations: ['15+35=50']
Exploring Operation: 81-70=11, Resulting Numbers: [50, 11]
Generated Node #3: [50, 11] from Operation: 81-70=11
Current State: 39:[50, 11], Operations: ['15+35=50', '81-70=11']
Exploring Operation: 50-11=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4
|
Current State: 39:[15, 35, 70, 81], Operations: []
Exploring Operation: 81-70=11, Resulting Numbers: [15, 35, 11]
Generated Node #0,0: 39:[15, 35, 11] Operation: 81-70=11
Exploring Operation: 81-35=46, Resulting Numbers: [15, 70, 46]
Generated Node #0,1: 39:[15, 70, 46] Operation: 81-35=46
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[15, 35, 11], Operations: ['81-70=11']
Exploring Operation: 15-11=4, Resulting Numbers: [35, 4]
Generated Node #0,0,0: 39:[35, 4] Operation: 15-11=4
Exploring Operation: 35-15=20, Resulting Numbers: [11, 20]
Generated Node #0,0,1: 39:[11, 20] Operation: 35-15=20
Moving to Node #0,0,0
Current State: 39:[35, 4], Operations: ['81-70=11', '15-11=4']
Exploring Operation: 35+4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[15, 35, 70, 81], Operations: []
Exploring Operation: 81-70=11, Resulting Numbers: [15, 35, 11]
Generated Node #0,0: 39:[15, 35, 11] Operation: 81-70=11
Moving to Node #0,0
Current State: 39:[15, 35, 11], Operations: ['81-70=11']
Exploring Operation: 15-11=4, Resulting Numbers: [35, 4]
Generated Node #0,0,0: 39:[35, 4] Operation: 15-11=4
Moving to Node #0,0,0
Current State: 39:[35, 4], Operations: ['81-70=11', '15-11=4']
Exploring Operation: 35+4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188
|
hs_2
|
sum_heuristic
|
[
57,
71,
26,
2
] | 54
|
[
"71-57=14",
"2*14=28",
"26+28=54"
] |
Current State: 54:[57, 71, 26, 2], Operations: []
Exploring Operation: 71-57=14, Resulting Numbers: [26, 2, 14]
Generated Node #2: [26, 2, 14] from Operation: 71-57=14
Current State: 54:[26, 2, 14], Operations: ['71-57=14']
Exploring Operation: 2*14=28, Resulting Numbers: [26, 28]
Generated Node #3: [26, 28] from Operation: 2*14=28
Current State: 54:[26, 28], Operations: ['71-57=14', '2*14=28']
Exploring Operation: 26+28=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4
|
Current State: 54:[57, 71, 26, 2], Operations: []
Exploring Operation: 71-2=69, Resulting Numbers: [57, 26, 69]
Generated Node #0,0: 54:[57, 26, 69] Operation: 71-2=69
Exploring Operation: 57-2=55, Resulting Numbers: [71, 26, 55]
Generated Node #0,1: 54:[71, 26, 55] Operation: 57-2=55
Exploring Operation: 71-57=14, Resulting Numbers: [26, 2, 14]
Generated Node #0,2: 54:[26, 2, 14] Operation: 71-57=14
Exploring Operation: 57-26=31, Resulting Numbers: [71, 2, 31]
Generated Node #0,3: 54:[71, 2, 31] Operation: 57-26=31
Exploring Operation: 71-26=45, Resulting Numbers: [57, 2, 45]
Generated Node #0,4: 54:[57, 2, 45] Operation: 71-26=45
Moving to Node #0,2
Current State: 54:[26, 2, 14], Operations: ['71-57=14']
Exploring Operation: 2+14=16, Resulting Numbers: [26, 16]
Generated Node #0,2,0: 54:[26, 16] Operation: 2+14=16
Exploring Operation: 14-2=12, Resulting Numbers: [26, 12]
Generated Node #0,2,1: 54:[26, 12] Operation: 14-2=12
Exploring Operation: 14/2=7, Resulting Numbers: [26, 7]
Generated Node #0,2,2: 54:[26, 7] Operation: 14/2=7
Exploring Operation: 2*14=28, Resulting Numbers: [26, 28]
Generated Node #0,2,3: 54:[26, 28] Operation: 2*14=28
Exploring Operation: 26-14=12, Resulting Numbers: [2, 12]
Generated Node #0,2,4: 54:[2, 12] Operation: 26-14=12
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 54:[26, 7], Operations: ['71-57=14', '14/2=7']
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,54 unequal: No Solution
Exploring Operation: 26+7=33, Resulting Numbers: [33]
33,54 unequal: No Solution
Exploring Operation: 26*7=182, Resulting Numbers: [182]
182,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 54:[26, 28], Operations: ['71-57=14', '2*14=28']
Exploring Operation: 28-26=2, Resulting Numbers: [2]
2,54 unequal: No Solution
Exploring Operation: 26+28=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[57, 71, 26, 2], Operations: []
Exploring Operation: 71-57=14, Resulting Numbers: [26, 2, 14]
Generated Node #0,2: 54:[26, 2, 14] Operation: 71-57=14
Moving to Node #0,2
Current State: 54:[26, 2, 14], Operations: ['71-57=14']
Exploring Operation: 2*14=28, Resulting Numbers: [26, 28]
Generated Node #0,2,3: 54:[26, 28] Operation: 2*14=28
Moving to Node #0,2,3
Current State: 54:[26, 28], Operations: ['71-57=14', '2*14=28']
Exploring Operation: 26+28=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507
|
hs_5
|
mult_heuristic
|
[
43,
40,
76,
85
] | 74
|
[
"43+40=83",
"85-76=9",
"83-9=74"
] |
Current State: 74:[43, 40, 76, 85], Operations: []
Exploring Operation: 43+40=83, Resulting Numbers: [76, 85, 83]
Generated Node #2: [76, 85, 83] from Operation: 43+40=83
Current State: 74:[76, 85, 83], Operations: ['43+40=83']
Exploring Operation: 85-76=9, Resulting Numbers: [83, 9]
Generated Node #3: [83, 9] from Operation: 85-76=9
Current State: 74:[83, 9], Operations: ['43+40=83', '85-76=9']
Exploring Operation: 83-9=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4
|
Current State: 74:[43, 40, 76, 85], Operations: []
Exploring Operation: 85-43=42, Resulting Numbers: [40, 76, 42]
Generated Node #0,0: 74:[40, 76, 42] Operation: 85-43=42
Exploring Operation: 85-40=45, Resulting Numbers: [43, 76, 45]
Generated Node #0,1: 74:[43, 76, 45] Operation: 85-40=45
Exploring Operation: 43-40=3, Resulting Numbers: [76, 85, 3]
Generated Node #0,2: 74:[76, 85, 3] Operation: 43-40=3
Exploring Operation: 85-76=9, Resulting Numbers: [43, 40, 9]
Generated Node #0,3: 74:[43, 40, 9] Operation: 85-76=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[40, 76, 42], Operations: ['85-43=42']
Exploring Operation: 76-40=36, Resulting Numbers: [42, 36]
Generated Node #0,0,0: 74:[42, 36] Operation: 76-40=36
Exploring Operation: 76-42=34, Resulting Numbers: [40, 34]
Generated Node #0,0,1: 74:[40, 34] Operation: 76-42=34
Exploring Operation: 42-40=2, Resulting Numbers: [76, 2]
Generated Node #0,0,2: 74:[76, 2] Operation: 42-40=2
Exploring Operation: 40+42=82, Resulting Numbers: [76, 82]
Generated Node #0,0,3: 74:[76, 82] Operation: 40+42=82
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 74:[76, 2], Operations: ['85-43=42', '42-40=2']
Exploring Operation: 76*2=152, Resulting Numbers: [152]
152,74 unequal: No Solution
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,74 unequal: No Solution
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[43, 40, 76, 85], Operations: []
Exploring Operation: 85-43=42, Resulting Numbers: [40, 76, 42]
Generated Node #0,0: 74:[40, 76, 42] Operation: 85-43=42
Moving to Node #0,0
Current State: 74:[40, 76, 42], Operations: ['85-43=42']
Exploring Operation: 42-40=2, Resulting Numbers: [76, 2]
Generated Node #0,0,2: 74:[76, 2] Operation: 42-40=2
Moving to Node #0,0,2
Current State: 74:[76, 2], Operations: ['85-43=42', '42-40=2']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979
|
hs_4
|
mult_heuristic
|
[
59,
19,
15,
38
] | 17
|
[
"59-19=40",
"38-15=23",
"40-23=17"
] |
Current State: 17:[59, 19, 15, 38], Operations: []
Exploring Operation: 59-19=40, Resulting Numbers: [15, 38, 40]
Generated Node #2: [15, 38, 40] from Operation: 59-19=40
Current State: 17:[15, 38, 40], Operations: ['59-19=40']
Exploring Operation: 38-15=23, Resulting Numbers: [40, 23]
Generated Node #3: [40, 23] from Operation: 38-15=23
Current State: 17:[40, 23], Operations: ['59-19=40', '38-15=23']
Exploring Operation: 40-23=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4
|
Current State: 17:[59, 19, 15, 38], Operations: []
Exploring Operation: 59-19=40, Resulting Numbers: [15, 38, 40]
Generated Node #0,0: 17:[15, 38, 40] Operation: 59-19=40
Exploring Operation: 59-38=21, Resulting Numbers: [19, 15, 21]
Generated Node #0,1: 17:[19, 15, 21] Operation: 59-38=21
Exploring Operation: 59-15=44, Resulting Numbers: [19, 38, 44]
Generated Node #0,2: 17:[19, 38, 44] Operation: 59-15=44
Exploring Operation: 38-19=19, Resulting Numbers: [59, 15, 19]
Generated Node #0,3: 17:[59, 15, 19] Operation: 38-19=19
Moving to Node #0,1
Current State: 17:[19, 15, 21], Operations: ['59-38=21']
Exploring Operation: 21-15=6, Resulting Numbers: [19, 6]
Generated Node #0,1,0: 17:[19, 6] Operation: 21-15=6
Exploring Operation: 21-19=2, Resulting Numbers: [15, 2]
Generated Node #0,1,1: 17:[15, 2] Operation: 21-19=2
Exploring Operation: 19-15=4, Resulting Numbers: [21, 4]
Generated Node #0,1,2: 17:[21, 4] Operation: 19-15=4
Exploring Operation: 19+15=34, Resulting Numbers: [21, 34]
Generated Node #0,1,3: 17:[21, 34] Operation: 19+15=34
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 17:[19, 6], Operations: ['59-38=21', '21-15=6']
Exploring Operation: 19+6=25, Resulting Numbers: [25]
25,17 unequal: No Solution
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,17 unequal: No Solution
Exploring Operation: 19*6=114, Resulting Numbers: [114]
114,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 17:[15, 2], Operations: ['59-38=21', '21-19=2']
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,17 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,17 unequal: No Solution
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[59, 19, 15, 38], Operations: []
Exploring Operation: 59-38=21, Resulting Numbers: [19, 15, 21]
Generated Node #0,1: 17:[19, 15, 21] Operation: 59-38=21
Moving to Node #0,1
Current State: 17:[19, 15, 21], Operations: ['59-38=21']
Exploring Operation: 21-19=2, Resulting Numbers: [15, 2]
Generated Node #0,1,1: 17:[15, 2] Operation: 21-19=2
Moving to Node #0,1,1
Current State: 17:[15, 2], Operations: ['59-38=21', '21-19=2']
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375
|
hs_4
|
sum_heuristic
|
[
6,
1,
46,
97
] | 57
|
[
"6*1=6",
"97-46=51",
"6+51=57"
] |
Current State: 57:[6, 1, 46, 97], Operations: []
Exploring Operation: 6*1=6, Resulting Numbers: [46, 97, 6]
Generated Node #2: [46, 97, 6] from Operation: 6*1=6
Current State: 57:[46, 97, 6], Operations: ['6*1=6']
Exploring Operation: 97-46=51, Resulting Numbers: [6, 51]
Generated Node #3: [6, 51] from Operation: 97-46=51
Current State: 57:[6, 51], Operations: ['6*1=6', '97-46=51']
Exploring Operation: 6+51=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4
|
Current State: 57:[6, 1, 46, 97], Operations: []
Exploring Operation: 97-6=91, Resulting Numbers: [1, 46, 91]
Generated Node #0,0: 57:[1, 46, 91] Operation: 97-6=91
Exploring Operation: 97-46=51, Resulting Numbers: [6, 1, 51]
Generated Node #0,1: 57:[6, 1, 51] Operation: 97-46=51
Exploring Operation: 6+46=52, Resulting Numbers: [1, 97, 52]
Generated Node #0,2: 57:[1, 97, 52] Operation: 6+46=52
Start Sub Search at level 1: Moving to Node #0,1
Current State: 57:[6, 1, 51], Operations: ['97-46=51']
Exploring Operation: 6-1=5, Resulting Numbers: [51, 5]
Generated Node #0,1,0: 57:[51, 5] Operation: 6-1=5
Exploring Operation: 1+51=52, Resulting Numbers: [6, 52]
Generated Node #0,1,1: 57:[6, 52] Operation: 1+51=52
Exploring Operation: 6+51=57, Resulting Numbers: [1, 57]
Generated Node #0,1,2: 57:[1, 57] Operation: 6+51=57
Moving to Node #0,1,2
Current State: 57:[1, 57], Operations: ['97-46=51', '6+51=57']
Exploring Operation: 1+57=58, Resulting Numbers: [58]
58,57 unequal: No Solution
Exploring Operation: 57/1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[6, 1, 46, 97], Operations: []
Exploring Operation: 97-46=51, Resulting Numbers: [6, 1, 51]
Generated Node #0,1: 57:[6, 1, 51] Operation: 97-46=51
Moving to Node #0,1
Current State: 57:[6, 1, 51], Operations: ['97-46=51']
Exploring Operation: 6+51=57, Resulting Numbers: [1, 57]
Generated Node #0,1,2: 57:[1, 57] Operation: 6+51=57
Moving to Node #0,1,2
Current State: 57:[1, 57], Operations: ['97-46=51', '6+51=57']
Exploring Operation: 57/1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583
|
hs_3
|
mult_heuristic
|
[
43,
20,
45,
21
] | 62
|
[
"45-43=2",
"21*2=42",
"20+42=62"
] |
Current State: 62:[43, 20, 45, 21], Operations: []
Exploring Operation: 45-43=2, Resulting Numbers: [20, 21, 2]
Generated Node #2: [20, 21, 2] from Operation: 45-43=2
Current State: 62:[20, 21, 2], Operations: ['45-43=2']
Exploring Operation: 21*2=42, Resulting Numbers: [20, 42]
Generated Node #3: [20, 42] from Operation: 21*2=42
Current State: 62:[20, 42], Operations: ['45-43=2', '21*2=42']
Exploring Operation: 20+42=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4
|
Current State: 62:[43, 20, 45, 21], Operations: []
Exploring Operation: 43+20=63, Resulting Numbers: [45, 21, 63]
Generated Node #0,0: 62:[45, 21, 63] Operation: 43+20=63
Exploring Operation: 20+45=65, Resulting Numbers: [43, 21, 65]
Generated Node #0,1: 62:[43, 21, 65] Operation: 20+45=65
Exploring Operation: 43+21=64, Resulting Numbers: [20, 45, 64]
Generated Node #0,2: 62:[20, 45, 64] Operation: 43+21=64
Exploring Operation: 45-43=2, Resulting Numbers: [20, 21, 2]
Generated Node #0,3: 62:[20, 21, 2] Operation: 45-43=2
Moving to Node #0,3
Current State: 62:[20, 21, 2], Operations: ['45-43=2']
Exploring Operation: 20+21=41, Resulting Numbers: [2, 41]
Generated Node #0,3,0: 62:[2, 41] Operation: 20+21=41
Exploring Operation: 20/2=10, Resulting Numbers: [21, 10]
Generated Node #0,3,1: 62:[21, 10] Operation: 20/2=10
Exploring Operation: 21-20=1, Resulting Numbers: [2, 1]
Generated Node #0,3,2: 62:[2, 1] Operation: 21-20=1
Exploring Operation: 20+2=22, Resulting Numbers: [21, 22]
Generated Node #0,3,3: 62:[21, 22] Operation: 20+2=22
Moving to Node #0,1
Current State: 62:[43, 21, 65], Operations: ['20+45=65']
Exploring Operation: 43-21=22, Resulting Numbers: [65, 22]
Generated Node #0,1,0: 62:[65, 22] Operation: 43-21=22
Exploring Operation: 65-21=44, Resulting Numbers: [43, 44]
Generated Node #0,1,1: 62:[43, 44] Operation: 65-21=44
Exploring Operation: 43+21=64, Resulting Numbers: [65, 64]
Generated Node #0,1,2: 62:[65, 64] Operation: 43+21=64
Exploring Operation: 65-43=22, Resulting Numbers: [21, 22]
Generated Node #0,1,3: 62:[21, 22] Operation: 65-43=22
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 62:[65, 64], Operations: ['20+45=65', '43+21=64']
Exploring Operation: 65-64=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Exploring Operation: 65+64=129, Resulting Numbers: [129]
129,62 unequal: No Solution
Exploring Operation: 65*64=4160, Resulting Numbers: [4160]
4160,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 62:[65, 22], Operations: ['20+45=65', '43-21=22']
Exploring Operation: 65*22=1430, Resulting Numbers: [1430]
1430,62 unequal: No Solution
Exploring Operation: 65-22=43, Resulting Numbers: [43]
43,62 unequal: No Solution
Exploring Operation: 65+22=87, Resulting Numbers: [87]
87,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 62:[21, 22], Operations: ['20+45=65', '65-43=22']
Exploring Operation: 21*22=462, Resulting Numbers: [462]
462,62 unequal: No Solution
Exploring Operation: 21+22=43, Resulting Numbers: [43]
43,62 unequal: No Solution
Exploring Operation: 22-21=1, Resulting Numbers: [1]
1,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 62:[43, 44], Operations: ['20+45=65', '65-21=44']
Exploring Operation: 44-43=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Exploring Operation: 43*44=1892, Resulting Numbers: [1892]
1892,62 unequal: No Solution
Exploring Operation: 43+44=87, Resulting Numbers: [87]
87,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 62:[45, 21, 63], Operations: ['43+20=63']
Exploring Operation: 63/21=3, Resulting Numbers: [45, 3]
Generated Node #0,0,0: 62:[45, 3] Operation: 63/21=3
Exploring Operation: 45+21=66, Resulting Numbers: [63, 66]
Generated Node #0,0,1: 62:[63, 66] Operation: 45+21=66
Exploring Operation: 45-21=24, Resulting Numbers: [63, 24]
Generated Node #0,0,2: 62:[63, 24] Operation: 45-21=24
Exploring Operation: 63-45=18, Resulting Numbers: [21, 18]
Generated Node #0,0,3: 62:[21, 18] Operation: 63-45=18
Moving to Node #0,2
Current State: 62:[20, 45, 64], Operations: ['43+21=64']
Exploring Operation: 64-45=19, Resulting Numbers: [20, 19]
Generated Node #0,2,0: 62:[20, 19] Operation: 64-45=19
Exploring Operation: 20+45=65, Resulting Numbers: [64, 65]
Generated Node #0,2,1: 62:[64, 65] Operation: 20+45=65
Exploring Operation: 64-20=44, Resulting Numbers: [45, 44]
Generated Node #0,2,2: 62:[45, 44] Operation: 64-20=44
Exploring Operation: 45-20=25, Resulting Numbers: [64, 25]
Generated Node #0,2,3: 62:[64, 25] Operation: 45-20=25
Moving to Node #0,3,2
Current State: 62:[2, 1], Operations: ['45-43=2', '21-20=1']
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,62 unequal: No Solution
Moving to Node #0,0,1
Current State: 62:[63, 66], Operations: ['43+20=63', '45+21=66']
Exploring Operation: 66-63=3, Resulting Numbers: [3]
3,62 unequal: No Solution
Exploring Operation: 63*66=4158, Resulting Numbers: [4158]
4158,62 unequal: No Solution
Exploring Operation: 63+66=129, Resulting Numbers: [129]
129,62 unequal: No Solution
Moving to Node #0,2,1
Current State: 62:[64, 65], Operations: ['43+21=64', '20+45=65']
Exploring Operation: 64+65=129, Resulting Numbers: [129]
129,62 unequal: No Solution
Exploring Operation: 64*65=4160, Resulting Numbers: [4160]
4160,62 unequal: No Solution
Exploring Operation: 65-64=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Moving to Node #0,0,2
Current State: 62:[63, 24], Operations: ['43+20=63', '45-21=24']
Exploring Operation: 63-24=39, Resulting Numbers: [39]
39,62 unequal: No Solution
Exploring Operation: 63*24=1512, Resulting Numbers: [1512]
1512,62 unequal: No Solution
Exploring Operation: 63+24=87, Resulting Numbers: [87]
87,62 unequal: No Solution
Moving to Node #0,2,3
Current State: 62:[64, 25], Operations: ['43+21=64', '45-20=25']
Exploring Operation: 64-25=39, Resulting Numbers: [39]
39,62 unequal: No Solution
Exploring Operation: 64*25=1600, Resulting Numbers: [1600]
1600,62 unequal: No Solution
Exploring Operation: 64+25=89, Resulting Numbers: [89]
89,62 unequal: No Solution
Moving to Node #0,3,0
Current State: 62:[2, 41], Operations: ['45-43=2', '20+21=41']
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,62 unequal: No Solution
Exploring Operation: 2+41=43, Resulting Numbers: [43]
43,62 unequal: No Solution
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,62 unequal: No Solution
Moving to Node #0,0,0
Current State: 62:[45, 3], Operations: ['43+20=63', '63/21=3']
Exploring Operation: 45*3=135, Resulting Numbers: [135]
135,62 unequal: No Solution
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,62 unequal: No Solution
Exploring Operation: 45+3=48, Resulting Numbers: [48]
48,62 unequal: No Solution
Exploring Operation: 45-3=42, Resulting Numbers: [42]
42,62 unequal: No Solution
Moving to Node #0,3,1
Current State: 62:[21, 10], Operations: ['45-43=2', '20/2=10']
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,62 unequal: No Solution
Exploring Operation: 21+10=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Exploring Operation: 21*10=210, Resulting Numbers: [210]
210,62 unequal: No Solution
Moving to Node #0,3,3
Current State: 62:[21, 22], Operations: ['45-43=2', '20+2=22']
Exploring Operation: 22-21=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Exploring Operation: 21+22=43, Resulting Numbers: [43]
43,62 unequal: No Solution
Exploring Operation: 21*22=462, Resulting Numbers: [462]
462,62 unequal: No Solution
Moving to Node #0,2,0
Current State: 62:[20, 19], Operations: ['43+21=64', '64-45=19']
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Exploring Operation: 20+19=39, Resulting Numbers: [39]
39,62 unequal: No Solution
Exploring Operation: 20*19=380, Resulting Numbers: [380]
380,62 unequal: No Solution
Moving to Node #0,0,3
Current State: 62:[21, 18], Operations: ['43+20=63', '63-45=18']
Exploring Operation: 21+18=39, Resulting Numbers: [39]
39,62 unequal: No Solution
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,62 unequal: No Solution
Exploring Operation: 21*18=378, Resulting Numbers: [378]
378,62 unequal: No Solution
Moving to Node #0,2,2
Current State: 62:[45, 44], Operations: ['43+21=64', '64-20=44']
Exploring Operation: 45+44=89, Resulting Numbers: [89]
89,62 unequal: No Solution
Exploring Operation: 45-44=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Exploring Operation: 45*44=1980, Resulting Numbers: [1980]
1980,62 unequal: No Solution
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
[
5,
92,
9,
46
] | 93
|
[
"5*9=45",
"92+46=138",
"138-45=93"
] |
Current State: 93:[5, 92, 9, 46], Operations: []
Exploring Operation: 5*9=45, Resulting Numbers: [92, 46, 45]
Generated Node #2: [92, 46, 45] from Operation: 5*9=45
Current State: 93:[92, 46, 45], Operations: ['5*9=45']
Exploring Operation: 92+46=138, Resulting Numbers: [45, 138]
Generated Node #3: [45, 138] from Operation: 92+46=138
Current State: 93:[45, 138], Operations: ['5*9=45', '92+46=138']
Exploring Operation: 138-45=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4
|
Current State: 93:[5, 92, 9, 46], Operations: []
Exploring Operation: 46-9=37, Resulting Numbers: [5, 92, 37]
Generated Node #0,0: 93:[5, 92, 37] Operation: 46-9=37
Exploring Operation: 92/46=2, Resulting Numbers: [5, 9, 2]
Generated Node #0,1: 93:[5, 9, 2] Operation: 92/46=2
Moving to Node #0,0
Current State: 93:[5, 92, 37], Operations: ['46-9=37']
Exploring Operation: 37-5=32, Resulting Numbers: [92, 32]
Generated Node #0,0,0: 93:[92, 32] Operation: 37-5=32
Exploring Operation: 5+92=97, Resulting Numbers: [37, 97]
Generated Node #0,0,1: 93:[37, 97] Operation: 5+92=97
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 93:[92, 32], Operations: ['46-9=37', '37-5=32']
Exploring Operation: 92-32=60, Resulting Numbers: [60]
60,93 unequal: No Solution
Exploring Operation: 92+32=124, Resulting Numbers: [124]
124,93 unequal: No Solution
No 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: 93:[37, 97], Operations: ['46-9=37', '5+92=97']
Exploring Operation: 97-37=60, Resulting Numbers: [60]
60,93 unequal: No Solution
Exploring Operation: 37+97=134, Resulting Numbers: [134]
134,93 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: 93:[5, 9, 2], Operations: ['92/46=2']
Exploring Operation: 5-2=3, Resulting Numbers: [9, 3]
Generated Node #0,1,0: 93:[9, 3] Operation: 5-2=3
Exploring Operation: 9-5=4, Resulting Numbers: [2, 4]
Generated Node #0,1,1: 93:[2, 4] Operation: 9-5=4
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 93:[2, 4], Operations: ['92/46=2', '9-5=4']
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,93 unequal: No Solution
No 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: 93:[9, 3], Operations: ['92/46=2', '5-2=3']
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,93 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
|
[
54,
45,
67,
39
] | 58
|
[
"45-39=6",
"54/6=9",
"67-9=58"
] |
Current State: 58:[54, 45, 67, 39], Operations: []
Exploring Operation: 45-39=6, Resulting Numbers: [54, 67, 6]
Generated Node #2: [54, 67, 6] from Operation: 45-39=6
Current State: 58:[54, 67, 6], Operations: ['45-39=6']
Exploring Operation: 54/6=9, Resulting Numbers: [67, 9]
Generated Node #3: [67, 9] from Operation: 54/6=9
Current State: 58:[67, 9], Operations: ['45-39=6', '54/6=9']
Exploring Operation: 67-9=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4
|
Current State: 58:[54, 45, 67, 39], Operations: []
Exploring Operation: 54-45=9, Resulting Numbers: [67, 39, 9]
Generated Node #0,0: 58:[67, 39, 9] Operation: 54-45=9
Exploring Operation: 45-39=6, Resulting Numbers: [54, 67, 6]
Generated Node #0,1: 58:[54, 67, 6] Operation: 45-39=6
Exploring Operation: 67-45=22, Resulting Numbers: [54, 39, 22]
Generated Node #0,2: 58:[54, 39, 22] Operation: 67-45=22
Exploring Operation: 67-39=28, Resulting Numbers: [54, 45, 28]
Generated Node #0,3: 58:[54, 45, 28] Operation: 67-39=28
Moving to Node #0,1
Current State: 58:[54, 67, 6], Operations: ['45-39=6']
Exploring Operation: 54/6=9, Resulting Numbers: [67, 9]
Generated Node #0,1,0: 58:[67, 9] Operation: 54/6=9
Exploring Operation: 67-6=61, Resulting Numbers: [54, 61]
Generated Node #0,1,1: 58:[54, 61] Operation: 67-6=61
Exploring Operation: 54+6=60, Resulting Numbers: [67, 60]
Generated Node #0,1,2: 58:[67, 60] Operation: 54+6=60
Exploring Operation: 67-54=13, Resulting Numbers: [6, 13]
Generated Node #0,1,3: 58:[6, 13] Operation: 67-54=13
Moving to Node #0,3
Current State: 58:[54, 45, 28], Operations: ['67-39=28']
Exploring Operation: 45+28=73, Resulting Numbers: [54, 73]
Generated Node #0,3,0: 58:[54, 73] Operation: 45+28=73
Exploring Operation: 45-28=17, Resulting Numbers: [54, 17]
Generated Node #0,3,1: 58:[54, 17] Operation: 45-28=17
Exploring Operation: 54-28=26, Resulting Numbers: [45, 26]
Generated Node #0,3,2: 58:[45, 26] Operation: 54-28=26
Exploring Operation: 54-45=9, Resulting Numbers: [28, 9]
Generated Node #0,3,3: 58:[28, 9] Operation: 54-45=9
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 58:[28, 9], Operations: ['67-39=28', '54-45=9']
Exploring Operation: 28*9=252, Resulting Numbers: [252]
252,58 unequal: No Solution
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,58 unequal: No Solution
Exploring Operation: 28+9=37, Resulting Numbers: [37]
37,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 58:[54, 17], Operations: ['67-39=28', '45-28=17']
Exploring Operation: 54+17=71, Resulting Numbers: [71]
71,58 unequal: No Solution
Exploring Operation: 54-17=37, Resulting Numbers: [37]
37,58 unequal: No Solution
Exploring Operation: 54*17=918, Resulting Numbers: [918]
918,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 58:[45, 26], Operations: ['67-39=28', '54-28=26']
Exploring Operation: 45+26=71, Resulting Numbers: [71]
71,58 unequal: No Solution
Exploring Operation: 45*26=1170, Resulting Numbers: [1170]
1170,58 unequal: No Solution
Exploring Operation: 45-26=19, Resulting Numbers: [19]
19,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 58:[54, 73], Operations: ['67-39=28', '45+28=73']
Exploring Operation: 73-54=19, Resulting Numbers: [19]
19,58 unequal: No Solution
Exploring Operation: 54+73=127, Resulting Numbers: [127]
127,58 unequal: No Solution
Exploring Operation: 54*73=3942, Resulting Numbers: [3942]
3942,58 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: 58:[54, 39, 22], Operations: ['67-45=22']
Exploring Operation: 39-22=17, Resulting Numbers: [54, 17]
Generated Node #0,2,0: 58:[54, 17] Operation: 39-22=17
Exploring Operation: 54-39=15, Resulting Numbers: [22, 15]
Generated Node #0,2,1: 58:[22, 15] Operation: 54-39=15
Exploring Operation: 39+22=61, Resulting Numbers: [54, 61]
Generated Node #0,2,2: 58:[54, 61] Operation: 39+22=61
Exploring Operation: 54-22=32, Resulting Numbers: [39, 32]
Generated Node #0,2,3: 58:[39, 32] Operation: 54-22=32
Moving to Node #0,0
Current State: 58:[67, 39, 9], Operations: ['54-45=9']
Exploring Operation: 67-39=28, Resulting Numbers: [9, 28]
Generated Node #0,0,0: 58:[9, 28] Operation: 67-39=28
Exploring Operation: 39-9=30, Resulting Numbers: [67, 30]
Generated Node #0,0,1: 58:[67, 30] Operation: 39-9=30
Exploring Operation: 67-9=58, Resulting Numbers: [39, 58]
Generated Node #0,0,2: 58:[39, 58] Operation: 67-9=58
Exploring Operation: 39+9=48, Resulting Numbers: [67, 48]
Generated Node #0,0,3: 58:[67, 48] Operation: 39+9=48
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[9, 28], Operations: ['54-45=9', '67-39=28']
Exploring Operation: 9*28=252, Resulting Numbers: [252]
252,58 unequal: No Solution
Exploring Operation: 9+28=37, Resulting Numbers: [37]
37,58 unequal: No Solution
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 58:[67, 30], Operations: ['54-45=9', '39-9=30']
Exploring Operation: 67-30=37, Resulting Numbers: [37]
37,58 unequal: No Solution
Exploring Operation: 67*30=2010, Resulting Numbers: [2010]
2010,58 unequal: No Solution
Exploring Operation: 67+30=97, Resulting Numbers: [97]
97,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 58:[39, 58], Operations: ['54-45=9', '67-9=58']
Exploring Operation: 39*58=2262, Resulting Numbers: [2262]
2262,58 unequal: No Solution
Exploring Operation: 58-39=19, Resulting Numbers: [19]
19,58 unequal: No Solution
Exploring Operation: 39+58=97, Resulting Numbers: [97]
97,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 58:[67, 48], Operations: ['54-45=9', '39+9=48']
Exploring Operation: 67-48=19, Resulting Numbers: [19]
19,58 unequal: No Solution
Exploring Operation: 67*48=3216, Resulting Numbers: [3216]
3216,58 unequal: No Solution
Exploring Operation: 67+48=115, Resulting Numbers: [115]
115,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 58:[54, 61], Operations: ['45-39=6', '67-6=61']
Exploring Operation: 54+61=115, Resulting Numbers: [115]
115,58 unequal: No Solution
Exploring Operation: 61-54=7, Resulting Numbers: [7]
7,58 unequal: No Solution
Exploring Operation: 54*61=3294, Resulting Numbers: [3294]
3294,58 unequal: No Solution
Moving to Node #0,2,2
Current State: 58:[54, 61], Operations: ['67-45=22', '39+22=61']
Exploring Operation: 61-54=7, Resulting Numbers: [7]
7,58 unequal: No Solution
Exploring Operation: 54+61=115, Resulting Numbers: [115]
115,58 unequal: No Solution
Exploring Operation: 54*61=3294, Resulting Numbers: [3294]
3294,58 unequal: No Solution
Moving to Node #0,1,2
Current State: 58:[67, 60], Operations: ['45-39=6', '54+6=60']
Exploring Operation: 67*60=4020, Resulting Numbers: [4020]
4020,58 unequal: No Solution
Exploring Operation: 67-60=7, Resulting Numbers: [7]
7,58 unequal: No Solution
Exploring Operation: 67+60=127, Resulting Numbers: [127]
127,58 unequal: No Solution
Moving to Node #0,2,3
Current State: 58:[39, 32], Operations: ['67-45=22', '54-22=32']
Exploring Operation: 39*32=1248, Resulting Numbers: [1248]
1248,58 unequal: No Solution
Exploring Operation: 39-32=7, Resulting Numbers: [7]
7,58 unequal: No Solution
Exploring Operation: 39+32=71, Resulting Numbers: [71]
71,58 unequal: No Solution
Moving to Node #0,1,3
Current State: 58:[6, 13], Operations: ['45-39=6', '67-54=13']
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,58 unequal: No Solution
Exploring Operation: 6+13=19, Resulting Numbers: [19]
19,58 unequal: No Solution
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,58 unequal: No Solution
Moving to Node #0,1,0
Current State: 58:[67, 9], Operations: ['45-39=6', '54/6=9']
Exploring Operation: 67+9=76, Resulting Numbers: [76]
76,58 unequal: No Solution
Exploring Operation: 67-9=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[54, 45, 67, 39], Operations: []
Exploring Operation: 45-39=6, Resulting Numbers: [54, 67, 6]
Generated Node #0,1: 58:[54, 67, 6] Operation: 45-39=6
Moving to Node #0,1
Current State: 58:[54, 67, 6], Operations: ['45-39=6']
Exploring Operation: 54/6=9, Resulting Numbers: [67, 9]
Generated Node #0,1,0: 58:[67, 9] Operation: 54/6=9
Moving to Node #0,1,0
Current State: 58:[67, 9], Operations: ['45-39=6', '54/6=9']
Exploring Operation: 67-9=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 0.943576
|
hs_4
|
sum_heuristic
|
[
53,
41,
84,
71
] | 81
|
[
"53+41=94",
"84-71=13",
"94-13=81"
] |
Current State: 81:[53, 41, 84, 71], Operations: []
Exploring Operation: 53+41=94, Resulting Numbers: [84, 71, 94]
Generated Node #2: [84, 71, 94] from Operation: 53+41=94
Current State: 81:[84, 71, 94], Operations: ['53+41=94']
Exploring Operation: 84-71=13, Resulting Numbers: [94, 13]
Generated Node #3: [94, 13] from Operation: 84-71=13
Current State: 81:[94, 13], Operations: ['53+41=94', '84-71=13']
Exploring Operation: 94-13=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4
|
Current State: 81:[53, 41, 84, 71], Operations: []
Exploring Operation: 53+41=94, Resulting Numbers: [84, 71, 94]
Generated Node #0,0: 81:[84, 71, 94] Operation: 53+41=94
Exploring Operation: 84-53=31, Resulting Numbers: [41, 71, 31]
Generated Node #0,1: 81:[41, 71, 31] Operation: 84-53=31
Exploring Operation: 71-53=18, Resulting Numbers: [41, 84, 18]
Generated Node #0,2: 81:[41, 84, 18] Operation: 71-53=18
Exploring Operation: 53-41=12, Resulting Numbers: [84, 71, 12]
Generated Node #0,3: 81:[84, 71, 12] Operation: 53-41=12
Start Sub Search at level 1: Moving to Node #0,3
Current State: 81:[84, 71, 12], Operations: ['53-41=12']
Exploring Operation: 84-12=72, Resulting Numbers: [71, 72]
Generated Node #0,3,0: 81:[71, 72] Operation: 84-12=72
Exploring Operation: 71+12=83, Resulting Numbers: [84, 83]
Generated Node #0,3,1: 81:[84, 83] Operation: 71+12=83
Exploring Operation: 84-71=13, Resulting Numbers: [12, 13]
Generated Node #0,3,2: 81:[12, 13] Operation: 84-71=13
Exploring Operation: 84/12=7, Resulting Numbers: [71, 7]
Generated Node #0,3,3: 81:[71, 7] Operation: 84/12=7
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 81:[84, 83], Operations: ['53-41=12', '71+12=83']
Exploring Operation: 84+83=167, Resulting Numbers: [167]
167,81 unequal: No Solution
Exploring Operation: 84*83=6972, Resulting Numbers: [6972]
6972,81 unequal: No Solution
Exploring Operation: 84-83=1, Resulting Numbers: [1]
1,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 81:[12, 13], Operations: ['53-41=12', '84-71=13']
Exploring Operation: 12+13=25, Resulting Numbers: [25]
25,81 unequal: No Solution
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,81 unequal: No Solution
Exploring Operation: 12*13=156, Resulting Numbers: [156]
156,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 81:[71, 7], Operations: ['53-41=12', '84/12=7']
Exploring Operation: 71-7=64, Resulting Numbers: [64]
64,81 unequal: No Solution
Exploring Operation: 71*7=497, Resulting Numbers: [497]
497,81 unequal: No Solution
Exploring Operation: 71+7=78, Resulting Numbers: [78]
78,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 81:[71, 72], Operations: ['53-41=12', '84-12=72']
Exploring Operation: 72-71=1, Resulting Numbers: [1]
1,81 unequal: No Solution
Exploring Operation: 71*72=5112, Resulting Numbers: [5112]
5112,81 unequal: No Solution
Exploring Operation: 71+72=143, Resulting Numbers: [143]
143,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[84, 71, 94], Operations: ['53+41=94']
Exploring Operation: 94-84=10, Resulting Numbers: [71, 10]
Generated Node #0,0,0: 81:[71, 10] Operation: 94-84=10
Exploring Operation: 84+71=155, Resulting Numbers: [94, 155]
Generated Node #0,0,1: 81:[94, 155] Operation: 84+71=155
Exploring Operation: 84-71=13, Resulting Numbers: [94, 13]
Generated Node #0,0,2: 81:[94, 13] Operation: 84-71=13
Exploring Operation: 94-71=23, Resulting Numbers: [84, 23]
Generated Node #0,0,3: 81:[84, 23] Operation: 94-71=23
Moving to Node #0,0,3
Current State: 81:[84, 23], Operations: ['53+41=94', '94-71=23']
Exploring Operation: 84*23=1932, Resulting Numbers: [1932]
1932,81 unequal: No Solution
Exploring Operation: 84+23=107, Resulting Numbers: [107]
107,81 unequal: No Solution
Exploring Operation: 84-23=61, Resulting Numbers: [61]
61,81 unequal: No Solution
Moving to Node #0,0,0
Current State: 81:[71, 10], Operations: ['53+41=94', '94-84=10']
Exploring Operation: 71-10=61, Resulting Numbers: [61]
61,81 unequal: No Solution
Exploring Operation: 71+10=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[53, 41, 84, 71], Operations: []
Exploring Operation: 53+41=94, Resulting Numbers: [84, 71, 94]
Generated Node #0,0: 81:[84, 71, 94] Operation: 53+41=94
Moving to Node #0,0
Current State: 81:[84, 71, 94], Operations: ['53+41=94']
Exploring Operation: 94-84=10, Resulting Numbers: [71, 10]
Generated Node #0,0,0: 81:[71, 10] Operation: 94-84=10
Moving to Node #0,0,0
Current State: 81:[71, 10], Operations: ['53+41=94', '94-84=10']
Exploring Operation: 71+10=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.971354
|
hs_4
|
sum_heuristic
|
[
98,
78,
19,
2
] | 10
|
[
"98/2=49",
"78-19=59",
"59-49=10"
] |
Current State: 10:[98, 78, 19, 2], Operations: []
Exploring Operation: 98/2=49, Resulting Numbers: [78, 19, 49]
Generated Node #2: [78, 19, 49] from Operation: 98/2=49
Current State: 10:[78, 19, 49], Operations: ['98/2=49']
Exploring Operation: 78-19=59, Resulting Numbers: [49, 59]
Generated Node #3: [49, 59] from Operation: 78-19=59
Current State: 10:[49, 59], Operations: ['98/2=49', '78-19=59']
Exploring Operation: 59-49=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4
|
Current State: 10:[98, 78, 19, 2], Operations: []
Exploring Operation: 98/2=49, Resulting Numbers: [78, 19, 49]
Generated Node #0,0: 10:[78, 19, 49] Operation: 98/2=49
Exploring Operation: 98-78=20, Resulting Numbers: [19, 2, 20]
Generated Node #0,1: 10:[19, 2, 20] Operation: 98-78=20
Moving to Node #0,1
Current State: 10:[19, 2, 20], Operations: ['98-78=20']
Exploring Operation: 20-19=1, Resulting Numbers: [2, 1]
Generated Node #0,1,0: 10:[2, 1] Operation: 20-19=1
Exploring Operation: 20/2=10, Resulting Numbers: [19, 10]
Generated Node #0,1,1: 10:[19, 10] Operation: 20/2=10
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 10:[2, 1], Operations: ['98-78=20', '20-19=1']
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,10 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:[19, 10], Operations: ['98-78=20', '20/2=10']
Exploring Operation: 19+10=29, Resulting Numbers: [29]
29,10 unequal: No Solution
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,10 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:[78, 19, 49], Operations: ['98/2=49']
Exploring Operation: 78-49=29, Resulting Numbers: [19, 29]
Generated Node #0,0,0: 10:[19, 29] Operation: 78-49=29
Exploring Operation: 78-19=59, Resulting Numbers: [49, 59]
Generated Node #0,0,1: 10:[49, 59] Operation: 78-19=59
Moving to Node #0,0,0
Current State: 10:[19, 29], Operations: ['98/2=49', '78-49=29']
Exploring Operation: 29-19=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[98, 78, 19, 2], Operations: []
Exploring Operation: 98/2=49, Resulting Numbers: [78, 19, 49]
Generated Node #0,0: 10:[78, 19, 49] Operation: 98/2=49
Moving to Node #0,0
Current State: 10:[78, 19, 49], Operations: ['98/2=49']
Exploring Operation: 78-49=29, Resulting Numbers: [19, 29]
Generated Node #0,0,0: 10:[19, 29] Operation: 78-49=29
Moving to Node #0,0,0
Current State: 10:[19, 29], Operations: ['98/2=49', '78-49=29']
Exploring Operation: 29-19=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 0.986979
|
hs_2
|
mult_heuristic
|
[
81,
40,
24,
66
] | 69
|
[
"81*40=3240",
"3240/24=135",
"135-66=69"
] |
Current State: 69:[81, 40, 24, 66], Operations: []
Exploring Operation: 81*40=3240, Resulting Numbers: [24, 66, 3240]
Generated Node #2: [24, 66, 3240] from Operation: 81*40=3240
Current State: 69:[24, 66, 3240], Operations: ['81*40=3240']
Exploring Operation: 3240/24=135, Resulting Numbers: [66, 135]
Generated Node #3: [66, 135] from Operation: 3240/24=135
Current State: 69:[66, 135], Operations: ['81*40=3240', '3240/24=135']
Exploring Operation: 135-66=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4
|
Current State: 69:[81, 40, 24, 66], Operations: []
Exploring Operation: 66-40=26, Resulting Numbers: [81, 24, 26]
Generated Node #0,0: 69:[81, 24, 26] Operation: 66-40=26
Exploring Operation: 40+24=64, Resulting Numbers: [81, 66, 64]
Generated Node #0,1: 69:[81, 66, 64] Operation: 40+24=64
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[81, 24, 26], Operations: ['66-40=26']
Exploring Operation: 26-24=2, Resulting Numbers: [81, 2]
Generated Node #0,0,0: 69:[81, 2] Operation: 26-24=2
Exploring Operation: 81-24=57, Resulting Numbers: [26, 57]
Generated Node #0,0,1: 69:[26, 57] Operation: 81-24=57
Moving to Node #0,0,0
Current State: 69:[81, 2], Operations: ['66-40=26', '26-24=2']
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,69 unequal: No Solution
Exploring Operation: 81+2=83, Resulting Numbers: [83]
83,69 unequal: No Solution
Moving to Node #0,0,1
Current State: 69:[26, 57], Operations: ['66-40=26', '81-24=57']
Exploring Operation: 57-26=31, Resulting Numbers: [31]
31,69 unequal: No Solution
Exploring Operation: 26+57=83, Resulting Numbers: [83]
83,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 69:[81, 66, 64], Operations: ['40+24=64']
Exploring Operation: 81-64=17, Resulting Numbers: [66, 17]
Generated Node #0,1,0: 69:[66, 17] Operation: 81-64=17
Exploring Operation: 81-66=15, Resulting Numbers: [64, 15]
Generated Node #0,1,1: 69:[64, 15] Operation: 81-66=15
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 69:[66, 17], Operations: ['40+24=64', '81-64=17']
Exploring Operation: 66-17=49, Resulting Numbers: [49]
49,69 unequal: No Solution
Exploring Operation: 66+17=83, Resulting Numbers: [83]
83,69 unequal: No Solution
No 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: 69:[64, 15], Operations: ['40+24=64', '81-66=15']
Exploring Operation: 64+15=79, Resulting Numbers: [79]
79,69 unequal: No Solution
Exploring Operation: 64-15=49, Resulting Numbers: [49]
49,69 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
|
[
31,
86,
82,
57
] | 67
|
[
"86-82=4",
"31*4=124",
"124-57=67"
] |
Current State: 67:[31, 86, 82, 57], Operations: []
Exploring Operation: 86-82=4, Resulting Numbers: [31, 57, 4]
Generated Node #2: [31, 57, 4] from Operation: 86-82=4
Current State: 67:[31, 57, 4], Operations: ['86-82=4']
Exploring Operation: 31*4=124, Resulting Numbers: [57, 124]
Generated Node #3: [57, 124] from Operation: 31*4=124
Current State: 67:[57, 124], Operations: ['86-82=4', '31*4=124']
Exploring Operation: 124-57=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4
|
Current State: 67:[31, 86, 82, 57], Operations: []
Exploring Operation: 31+57=88, Resulting Numbers: [86, 82, 88]
Generated Node #0,0: 67:[86, 82, 88] Operation: 31+57=88
Exploring Operation: 86-31=55, Resulting Numbers: [82, 57, 55]
Generated Node #0,1: 67:[82, 57, 55] Operation: 86-31=55
Exploring Operation: 82-31=51, Resulting Numbers: [86, 57, 51]
Generated Node #0,2: 67:[86, 57, 51] Operation: 82-31=51
Moving to Node #0,1
Current State: 67:[82, 57, 55], Operations: ['86-31=55']
Exploring Operation: 82-57=25, Resulting Numbers: [55, 25]
Generated Node #0,1,0: 67:[55, 25] Operation: 82-57=25
Exploring Operation: 82-55=27, Resulting Numbers: [57, 27]
Generated Node #0,1,1: 67:[57, 27] Operation: 82-55=27
Exploring Operation: 57+55=112, Resulting Numbers: [82, 112]
Generated Node #0,1,2: 67:[82, 112] Operation: 57+55=112
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 67:[57, 27], Operations: ['86-31=55', '82-55=27']
Exploring Operation: 57-27=30, Resulting Numbers: [30]
30,67 unequal: No Solution
Exploring Operation: 57+27=84, Resulting Numbers: [84]
84,67 unequal: No Solution
Exploring Operation: 57*27=1539, Resulting Numbers: [1539]
1539,67 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 #0,1,0
Current State: 67:[55, 25], Operations: ['86-31=55', '82-57=25']
Exploring Operation: 55+25=80, Resulting Numbers: [80]
80,67 unequal: No Solution
Exploring Operation: 55-25=30, Resulting Numbers: [30]
30,67 unequal: No Solution
Exploring Operation: 55*25=1375, Resulting Numbers: [1375]
1375,67 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 #0,1,2
Current State: 67:[82, 112], Operations: ['86-31=55', '57+55=112']
Exploring Operation: 112-82=30, Resulting Numbers: [30]
30,67 unequal: No Solution
Exploring Operation: 82*112=9184, Resulting Numbers: [9184]
9184,67 unequal: No Solution
Exploring Operation: 82+112=194, Resulting Numbers: [194]
194,67 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: 67:[86, 57, 51], Operations: ['82-31=51']
Exploring Operation: 86-57=29, Resulting Numbers: [51, 29]
Generated Node #0,2,0: 67:[51, 29] Operation: 86-57=29
Exploring Operation: 57+51=108, Resulting Numbers: [86, 108]
Generated Node #0,2,1: 67:[86, 108] Operation: 57+51=108
Exploring Operation: 86-51=35, Resulting Numbers: [57, 35]
Generated Node #0,2,2: 67:[57, 35] Operation: 86-51=35
Moving to Node #0,0
Current State: 67:[86, 82, 88], Operations: ['31+57=88']
Exploring Operation: 88-86=2, Resulting Numbers: [82, 2]
Generated Node #0,0,0: 67:[82, 2] Operation: 88-86=2
Exploring Operation: 86-82=4, Resulting Numbers: [88, 4]
Generated Node #0,0,1: 67:[88, 4] Operation: 86-82=4
Exploring Operation: 88-82=6, Resulting Numbers: [86, 6]
Generated Node #0,0,2: 67:[86, 6] Operation: 88-82=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 67:[82, 2], Operations: ['31+57=88', '88-86=2']
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,67 unequal: No Solution
Exploring Operation: 82+2=84, Resulting Numbers: [84]
84,67 unequal: No Solution
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,67 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 #0,0,2
Current State: 67:[86, 6], Operations: ['31+57=88', '88-82=6']
Exploring Operation: 86-6=80, Resulting Numbers: [80]
80,67 unequal: No Solution
Exploring Operation: 86*6=516, Resulting Numbers: [516]
516,67 unequal: No Solution
Exploring Operation: 86+6=92, Resulting Numbers: [92]
92,67 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 #0,0,1
Current State: 67:[88, 4], Operations: ['31+57=88', '86-82=4']
Exploring Operation: 88/4=22, Resulting Numbers: [22]
22,67 unequal: No Solution
Exploring Operation: 88+4=92, Resulting Numbers: [92]
92,67 unequal: No Solution
Exploring Operation: 88-4=84, Resulting Numbers: [84]
84,67 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: 67:[57, 35], Operations: ['82-31=51', '86-51=35']
Exploring Operation: 57-35=22, Resulting Numbers: [22]
22,67 unequal: No Solution
Exploring Operation: 57*35=1995, Resulting Numbers: [1995]
1995,67 unequal: No Solution
Exploring Operation: 57+35=92, Resulting Numbers: [92]
92,67 unequal: No Solution
Moving to Node #0,2,0
Current State: 67:[51, 29], Operations: ['82-31=51', '86-57=29']
Exploring Operation: 51-29=22, Resulting Numbers: [22]
22,67 unequal: No Solution
Exploring Operation: 51+29=80, Resulting Numbers: [80]
80,67 unequal: No Solution
Exploring Operation: 51*29=1479, Resulting Numbers: [1479]
1479,67 unequal: No Solution
Moving to Node #0,2,1
Current State: 67:[86, 108], Operations: ['82-31=51', '57+51=108']
Exploring Operation: 108-86=22, Resulting Numbers: [22]
22,67 unequal: No Solution
Exploring Operation: 86+108=194, Resulting Numbers: [194]
194,67 unequal: No Solution
Exploring Operation: 86*108=9288, Resulting Numbers: [9288]
9288,67 unequal: No Solution
No solution found.
| 0
|
hs_3
|
sum_heuristic
|
[
6,
6,
95,
1
] | 58
|
[
"6*6=36",
"95-1=94",
"94-36=58"
] |
Current State: 58:[6, 6, 95, 1], Operations: []
Exploring Operation: 6*6=36, Resulting Numbers: [95, 1, 36]
Generated Node #2: [95, 1, 36] from Operation: 6*6=36
Current State: 58:[95, 1, 36], Operations: ['6*6=36']
Exploring Operation: 95-1=94, Resulting Numbers: [36, 94]
Generated Node #3: [36, 94] from Operation: 95-1=94
Current State: 58:[36, 94], Operations: ['6*6=36', '95-1=94']
Exploring Operation: 94-36=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4
|
Current State: 58:[6, 6, 95, 1], Operations: []
Exploring Operation: 95-6=89, Resulting Numbers: [6, 1, 89]
Generated Node #0,0: 58:[6, 1, 89] Operation: 95-6=89
Exploring Operation: 95-6=89, Resulting Numbers: [6, 1, 89]
Generated Node #0,1: 58:[6, 1, 89] Operation: 95-6=89
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[6, 1, 89], Operations: ['95-6=89']
Exploring Operation: 6-1=5, Resulting Numbers: [89, 5]
Generated Node #0,0,0: 58:[89, 5] Operation: 6-1=5
Exploring Operation: 89-6=83, Resulting Numbers: [1, 83]
Generated Node #0,0,1: 58:[1, 83] Operation: 89-6=83
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 58:[1, 83], Operations: ['95-6=89', '89-6=83']
Exploring Operation: 83-1=82, Resulting Numbers: [82]
82,58 unequal: No Solution
Exploring Operation: 1*83=83, Resulting Numbers: [83]
83,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 58:[89, 5], Operations: ['95-6=89', '6-1=5']
Exploring Operation: 89+5=94, Resulting Numbers: [94]
94,58 unequal: No Solution
Exploring Operation: 89-5=84, Resulting Numbers: [84]
84,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 58:[6, 1, 89], Operations: ['95-6=89']
Exploring Operation: 89-6=83, Resulting Numbers: [1, 83]
Generated Node #0,1,0: 58:[1, 83] Operation: 89-6=83
Exploring Operation: 6-1=5, Resulting Numbers: [89, 5]
Generated Node #0,1,1: 58:[89, 5] Operation: 6-1=5
Moving to Node #0,1,0
Current State: 58:[1, 83], Operations: ['95-6=89', '89-6=83']
Exploring Operation: 1*83=83, Resulting Numbers: [83]
83,58 unequal: No Solution
Exploring Operation: 83-1=82, Resulting Numbers: [82]
82,58 unequal: No Solution
Moving to Node #0,1,1
Current State: 58:[89, 5], Operations: ['95-6=89', '6-1=5']
Exploring Operation: 89-5=84, Resulting Numbers: [84]
84,58 unequal: No Solution
Exploring Operation: 89+5=94, Resulting Numbers: [94]
94,58 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
|
[
22,
15,
7,
4
] | 20
|
[
"15-7=8",
"8/4=2",
"22-2=20"
] |
Current State: 20:[22, 15, 7, 4], Operations: []
Exploring Operation: 15-7=8, Resulting Numbers: [22, 4, 8]
Generated Node #2: [22, 4, 8] from Operation: 15-7=8
Current State: 20:[22, 4, 8], Operations: ['15-7=8']
Exploring Operation: 8/4=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 8/4=2
Current State: 20:[22, 2], Operations: ['15-7=8', '8/4=2']
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4
|
Current State: 20:[22, 15, 7, 4], Operations: []
Exploring Operation: 15+7=22, Resulting Numbers: [22, 4, 22]
Generated Node #0,0: 20:[22, 4, 22] Operation: 15+7=22
Exploring Operation: 15-7=8, Resulting Numbers: [22, 4, 8]
Generated Node #0,1: 20:[22, 4, 8] Operation: 15-7=8
Exploring Operation: 22-15=7, Resulting Numbers: [7, 4, 7]
Generated Node #0,2: 20:[7, 4, 7] Operation: 22-15=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[22, 4, 22], Operations: ['15+7=22']
Exploring Operation: 22-4=18, Resulting Numbers: [22, 18]
Generated Node #0,0,0: 20:[22, 18] Operation: 22-4=18
Exploring Operation: 22/22=1, Resulting Numbers: [4, 1]
Generated Node #0,0,1: 20:[4, 1] Operation: 22/22=1
Exploring Operation: 22-22=0, Resulting Numbers: [4, 0]
Generated Node #0,0,2: 20:[4, 0] Operation: 22-22=0
Moving to Node #0,0,1
Current State: 20:[4, 1], Operations: ['15+7=22', '22/22=1']
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Exploring Operation: 4+1=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Moving to Node #0,0,2
Current State: 20:[4, 0], Operations: ['15+7=22', '22-22=0']
Exploring Operation: 4*0=0, Resulting Numbers: [0]
0,20 unequal: No Solution
Exploring Operation: 4-0=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Exploring Operation: 4+0=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Moving to Node #0,0,0
Current State: 20:[22, 18], Operations: ['15+7=22', '22-4=18']
Exploring Operation: 22+18=40, Resulting Numbers: [40]
40,20 unequal: No Solution
Exploring Operation: 22-18=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Exploring Operation: 22*18=396, Resulting Numbers: [396]
396,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 20:[22, 4, 8], Operations: ['15-7=8']
Exploring Operation: 8-4=4, Resulting Numbers: [22, 4]
Generated Node #0,1,0: 20:[22, 4] Operation: 8-4=4
Exploring Operation: 8/4=2, Resulting Numbers: [22, 2]
Generated Node #0,1,1: 20:[22, 2] Operation: 8/4=2
Exploring Operation: 22-4=18, Resulting Numbers: [8, 18]
Generated Node #0,1,2: 20:[8, 18] Operation: 22-4=18
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 20:[22, 4], Operations: ['15-7=8', '8-4=4']
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,20 unequal: No Solution
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,20 unequal: No Solution
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,20 unequal: No Solution
No 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: 20:[22, 2], Operations: ['15-7=8', '8/4=2']
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[22, 15, 7, 4], Operations: []
Exploring Operation: 15-7=8, Resulting Numbers: [22, 4, 8]
Generated Node #0,1: 20:[22, 4, 8] Operation: 15-7=8
Moving to Node #0,1
Current State: 20:[22, 4, 8], Operations: ['15-7=8']
Exploring Operation: 8/4=2, Resulting Numbers: [22, 2]
Generated Node #0,1,1: 20:[22, 2] Operation: 8/4=2
Moving to Node #0,1,1
Current State: 20:[22, 2], Operations: ['15-7=8', '8/4=2']
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.977431
|
hs_3
|
sum_heuristic
|
[
77,
80,
11,
61
] | 24
|
[
"80-77=3",
"11+61=72",
"72/3=24"
] |
Current State: 24:[77, 80, 11, 61], Operations: []
Exploring Operation: 80-77=3, Resulting Numbers: [11, 61, 3]
Generated Node #2: [11, 61, 3] from Operation: 80-77=3
Current State: 24:[11, 61, 3], Operations: ['80-77=3']
Exploring Operation: 11+61=72, Resulting Numbers: [3, 72]
Generated Node #3: [3, 72] from Operation: 11+61=72
Current State: 24:[3, 72], Operations: ['80-77=3', '11+61=72']
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4
|
Current State: 24:[77, 80, 11, 61], Operations: []
Exploring Operation: 80-77=3, Resulting Numbers: [11, 61, 3]
Generated Node #0,0: 24:[11, 61, 3] Operation: 80-77=3
Exploring Operation: 80-61=19, Resulting Numbers: [77, 11, 19]
Generated Node #0,1: 24:[77, 11, 19] Operation: 80-61=19
Exploring Operation: 77-61=16, Resulting Numbers: [80, 11, 16]
Generated Node #0,2: 24:[80, 11, 16] Operation: 77-61=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[11, 61, 3], Operations: ['80-77=3']
Exploring Operation: 11-3=8, Resulting Numbers: [61, 8]
Generated Node #0,0,0: 24:[61, 8] Operation: 11-3=8
Exploring Operation: 61-3=58, Resulting Numbers: [11, 58]
Generated Node #0,0,1: 24:[11, 58] Operation: 61-3=58
Exploring Operation: 61-11=50, Resulting Numbers: [3, 50]
Generated Node #0,0,2: 24:[3, 50] Operation: 61-11=50
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 24:[3, 50], Operations: ['80-77=3', '61-11=50']
Exploring Operation: 3+50=53, Resulting Numbers: [53]
53,24 unequal: No Solution
Exploring Operation: 3*50=150, Resulting Numbers: [150]
150,24 unequal: No Solution
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,24 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 #0,0,1
Current State: 24:[11, 58], Operations: ['80-77=3', '61-3=58']
Exploring Operation: 58-11=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Exploring Operation: 11+58=69, Resulting Numbers: [69]
69,24 unequal: No Solution
Exploring Operation: 11*58=638, Resulting Numbers: [638]
638,24 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 #0,0,0
Current State: 24:[61, 8], Operations: ['80-77=3', '11-3=8']
Exploring Operation: 61+8=69, Resulting Numbers: [69]
69,24 unequal: No Solution
Exploring Operation: 61-8=53, Resulting Numbers: [53]
53,24 unequal: No Solution
Exploring Operation: 61*8=488, Resulting Numbers: [488]
488,24 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 #0,1
Current State: 24:[77, 11, 19], Operations: ['80-61=19']
Exploring Operation: 77-19=58, Resulting Numbers: [11, 58]
Generated Node #0,1,0: 24:[11, 58] Operation: 77-19=58
Exploring Operation: 77/11=7, Resulting Numbers: [19, 7]
Generated Node #0,1,1: 24:[19, 7] Operation: 77/11=7
Exploring Operation: 77-11=66, Resulting Numbers: [19, 66]
Generated Node #0,1,2: 24:[19, 66] Operation: 77-11=66
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 24:[19, 7], Operations: ['80-61=19', '77/11=7']
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,24 unequal: No Solution
Exploring Operation: 19*7=133, Resulting Numbers: [133]
133,24 unequal: No Solution
Exploring Operation: 19+7=26, Resulting Numbers: [26]
26,24 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:[11, 58], Operations: ['80-61=19', '77-19=58']
Exploring Operation: 11+58=69, Resulting Numbers: [69]
69,24 unequal: No Solution
Exploring Operation: 11*58=638, Resulting Numbers: [638]
638,24 unequal: No Solution
Exploring Operation: 58-11=47, Resulting Numbers: [47]
47,24 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:[19, 66], Operations: ['80-61=19', '77-11=66']
Exploring Operation: 19*66=1254, Resulting Numbers: [1254]
1254,24 unequal: No Solution
Exploring Operation: 66-19=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Exploring Operation: 19+66=85, Resulting Numbers: [85]
85,24 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:[80, 11, 16], Operations: ['77-61=16']
Exploring Operation: 80-11=69, Resulting Numbers: [16, 69]
Generated Node #0,2,0: 24:[16, 69] Operation: 80-11=69
Exploring Operation: 80-16=64, Resulting Numbers: [11, 64]
Generated Node #0,2,1: 24:[11, 64] Operation: 80-16=64
Exploring Operation: 80/16=5, Resulting Numbers: [11, 5]
Generated Node #0,2,2: 24:[11, 5] Operation: 80/16=5
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 24:[11, 5], Operations: ['77-61=16', '80/16=5']
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,24 unequal: No Solution
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,24 unequal: No Solution
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,24 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 #0,2,1
Current State: 24:[11, 64], Operations: ['77-61=16', '80-16=64']
Exploring Operation: 64-11=53, Resulting Numbers: [53]
53,24 unequal: No Solution
Exploring Operation: 11+64=75, Resulting Numbers: [75]
75,24 unequal: No Solution
Exploring Operation: 11*64=704, Resulting Numbers: [704]
704,24 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 #0,2,0
Current State: 24:[16, 69], Operations: ['77-61=16', '80-11=69']
Exploring Operation: 16*69=1104, Resulting Numbers: [1104]
1104,24 unequal: No Solution
Exploring Operation: 69-16=53, Resulting Numbers: [53]
53,24 unequal: No Solution
Exploring Operation: 16+69=85, Resulting Numbers: [85]
85,24 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
No solution found.
| 0
|
hs_3
|
sum_heuristic
|
[
49,
94,
4,
77
] | 70
|
[
"49+94=143",
"77-4=73",
"143-73=70"
] |
Current State: 70:[49, 94, 4, 77], Operations: []
Exploring Operation: 49+94=143, Resulting Numbers: [4, 77, 143]
Generated Node #2: [4, 77, 143] from Operation: 49+94=143
Current State: 70:[4, 77, 143], Operations: ['49+94=143']
Exploring Operation: 77-4=73, Resulting Numbers: [143, 73]
Generated Node #3: [143, 73] from Operation: 77-4=73
Current State: 70:[143, 73], Operations: ['49+94=143', '77-4=73']
Exploring Operation: 143-73=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4
|
Current State: 70:[49, 94, 4, 77], Operations: []
Exploring Operation: 77-49=28, Resulting Numbers: [94, 4, 28]
Generated Node #0,0: 70:[94, 4, 28] Operation: 77-49=28
Exploring Operation: 49-4=45, Resulting Numbers: [94, 77, 45]
Generated Node #0,1: 70:[94, 77, 45] Operation: 49-4=45
Exploring Operation: 94-49=45, Resulting Numbers: [4, 77, 45]
Generated Node #0,2: 70:[4, 77, 45] Operation: 94-49=45
Exploring Operation: 94-77=17, Resulting Numbers: [49, 4, 17]
Generated Node #0,3: 70:[49, 4, 17] Operation: 94-77=17
Exploring Operation: 94-4=90, Resulting Numbers: [49, 77, 90]
Generated Node #0,4: 70:[49, 77, 90] Operation: 94-4=90
Moving to Node #0,2
Current State: 70:[4, 77, 45], Operations: ['94-49=45']
Exploring Operation: 4+77=81, Resulting Numbers: [45, 81]
Generated Node #0,2,0: 70:[45, 81] Operation: 4+77=81
Exploring Operation: 77-4=73, Resulting Numbers: [45, 73]
Generated Node #0,2,1: 70:[45, 73] Operation: 77-4=73
Exploring Operation: 4+45=49, Resulting Numbers: [77, 49]
Generated Node #0,2,2: 70:[77, 49] Operation: 4+45=49
Exploring Operation: 45-4=41, Resulting Numbers: [77, 41]
Generated Node #0,2,3: 70:[77, 41] Operation: 45-4=41
Exploring Operation: 77-45=32, Resulting Numbers: [4, 32]
Generated Node #0,2,4: 70:[4, 32] Operation: 77-45=32
Moving to Node #0,3
Current State: 70:[49, 4, 17], Operations: ['94-77=17']
Exploring Operation: 49+17=66, Resulting Numbers: [4, 66]
Generated Node #0,3,0: 70:[4, 66] Operation: 49+17=66
Exploring Operation: 49-17=32, Resulting Numbers: [4, 32]
Generated Node #0,3,1: 70:[4, 32] Operation: 49-17=32
Exploring Operation: 49-4=45, Resulting Numbers: [17, 45]
Generated Node #0,3,2: 70:[17, 45] Operation: 49-4=45
Exploring Operation: 4*17=68, Resulting Numbers: [49, 68]
Generated Node #0,3,3: 70:[49, 68] Operation: 4*17=68
Exploring Operation: 17-4=13, Resulting Numbers: [49, 13]
Generated Node #0,3,4: 70:[49, 13] Operation: 17-4=13
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 70:[4, 32], Operations: ['94-77=17', '49-17=32']
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,70 unequal: No Solution
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,70 unequal: No Solution
Exploring Operation: 4*32=128, Resulting Numbers: [128]
128,70 unequal: No Solution
Exploring Operation: 4+32=36, Resulting Numbers: [36]
36,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 70:[4, 66], Operations: ['94-77=17', '49+17=66']
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,70 unequal: No Solution
Exploring Operation: 4*66=264, Resulting Numbers: [264]
264,70 unequal: No Solution
Exploring Operation: 4+66=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[49, 94, 4, 77], Operations: []
Exploring Operation: 94-77=17, Resulting Numbers: [49, 4, 17]
Generated Node #0,3: 70:[49, 4, 17] Operation: 94-77=17
Moving to Node #0,3
Current State: 70:[49, 4, 17], Operations: ['94-77=17']
Exploring Operation: 49+17=66, Resulting Numbers: [4, 66]
Generated Node #0,3,0: 70:[4, 66] Operation: 49+17=66
Moving to Node #0,3,0
Current State: 70:[4, 66], Operations: ['94-77=17', '49+17=66']
Exploring Operation: 4+66=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431
|
hs_5
|
mult_heuristic
|
[
15,
83,
5,
65
] | 81
|
[
"83-15=68",
"65/5=13",
"68+13=81"
] |
Current State: 81:[15, 83, 5, 65], Operations: []
Exploring Operation: 83-15=68, Resulting Numbers: [5, 65, 68]
Generated Node #2: [5, 65, 68] from Operation: 83-15=68
Current State: 81:[5, 65, 68], Operations: ['83-15=68']
Exploring Operation: 65/5=13, Resulting Numbers: [68, 13]
Generated Node #3: [68, 13] from Operation: 65/5=13
Current State: 81:[68, 13], Operations: ['83-15=68', '65/5=13']
Exploring Operation: 68+13=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4
|
Current State: 81:[15, 83, 5, 65], Operations: []
Exploring Operation: 83-65=18, Resulting Numbers: [15, 5, 18]
Generated Node #0,0: 81:[15, 5, 18] Operation: 83-65=18
Exploring Operation: 15/5=3, Resulting Numbers: [83, 65, 3]
Generated Node #0,1: 81:[83, 65, 3] Operation: 15/5=3
Exploring Operation: 15-5=10, Resulting Numbers: [83, 65, 10]
Generated Node #0,2: 81:[83, 65, 10] Operation: 15-5=10
Exploring Operation: 15+65=80, Resulting Numbers: [83, 5, 80]
Generated Node #0,3: 81:[83, 5, 80] Operation: 15+65=80
Exploring Operation: 65/5=13, Resulting Numbers: [15, 83, 13]
Generated Node #0,4: 81:[15, 83, 13] Operation: 65/5=13
Start Sub Search at level 1: Moving to Node #0,3
Current State: 81:[83, 5, 80], Operations: ['15+65=80']
Exploring Operation: 80-5=75, Resulting Numbers: [83, 75]
Generated Node #0,3,0: 81:[83, 75] Operation: 80-5=75
Exploring Operation: 83-5=78, Resulting Numbers: [80, 78]
Generated Node #0,3,1: 81:[80, 78] Operation: 83-5=78
Exploring Operation: 83-80=3, Resulting Numbers: [5, 3]
Generated Node #0,3,2: 81:[5, 3] Operation: 83-80=3
Exploring Operation: 83+5=88, Resulting Numbers: [80, 88]
Generated Node #0,3,3: 81:[80, 88] Operation: 83+5=88
Exploring Operation: 5+80=85, Resulting Numbers: [83, 85]
Generated Node #0,3,4: 81:[83, 85] Operation: 5+80=85
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 81:[5, 3], Operations: ['15+65=80', '83-80=3']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,81 unequal: No Solution
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,81 unequal: No Solution
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 81:[80, 78], Operations: ['15+65=80', '83-5=78']
Exploring Operation: 80-78=2, Resulting Numbers: [2]
2,81 unequal: No Solution
Exploring Operation: 80+78=158, Resulting Numbers: [158]
158,81 unequal: No Solution
Exploring Operation: 80*78=6240, Resulting Numbers: [6240]
6240,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 81:[83, 85], Operations: ['15+65=80', '5+80=85']
Exploring Operation: 83*85=7055, Resulting Numbers: [7055]
7055,81 unequal: No Solution
Exploring Operation: 85-83=2, Resulting Numbers: [2]
2,81 unequal: No Solution
Exploring Operation: 83+85=168, Resulting Numbers: [168]
168,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 81:[83, 75], Operations: ['15+65=80', '80-5=75']
Exploring Operation: 83*75=6225, Resulting Numbers: [6225]
6225,81 unequal: No Solution
Exploring Operation: 83-75=8, Resulting Numbers: [8]
8,81 unequal: No Solution
Exploring Operation: 83+75=158, Resulting Numbers: [158]
158,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 81:[80, 88], Operations: ['15+65=80', '83+5=88']
Exploring Operation: 88-80=8, Resulting Numbers: [8]
8,81 unequal: No Solution
Exploring Operation: 80*88=7040, Resulting Numbers: [7040]
7040,81 unequal: No Solution
Exploring Operation: 80+88=168, Resulting Numbers: [168]
168,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 81:[15, 83, 13], Operations: ['65/5=13']
Exploring Operation: 83-13=70, Resulting Numbers: [15, 70]
Generated Node #0,4,0: 81:[15, 70] Operation: 83-13=70
Exploring Operation: 15+13=28, Resulting Numbers: [83, 28]
Generated Node #0,4,1: 81:[83, 28] Operation: 15+13=28
Exploring Operation: 83-15=68, Resulting Numbers: [13, 68]
Generated Node #0,4,2: 81:[13, 68] Operation: 83-15=68
Exploring Operation: 15+83=98, Resulting Numbers: [13, 98]
Generated Node #0,4,3: 81:[13, 98] Operation: 15+83=98
Exploring Operation: 15-13=2, Resulting Numbers: [83, 2]
Generated Node #0,4,4: 81:[83, 2] Operation: 15-13=2
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 81:[83, 28], Operations: ['65/5=13', '15+13=28']
Exploring Operation: 83*28=2324, Resulting Numbers: [2324]
2324,81 unequal: No Solution
Exploring Operation: 83+28=111, Resulting Numbers: [111]
111,81 unequal: No Solution
Exploring Operation: 83-28=55, Resulting Numbers: [55]
55,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 81:[83, 2], Operations: ['65/5=13', '15-13=2']
Exploring Operation: 83*2=166, Resulting Numbers: [166]
166,81 unequal: No Solution
Exploring Operation: 83+2=85, Resulting Numbers: [85]
85,81 unequal: No Solution
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[15, 83, 5, 65], Operations: []
Exploring Operation: 65/5=13, Resulting Numbers: [15, 83, 13]
Generated Node #0,4: 81:[15, 83, 13] Operation: 65/5=13
Moving to Node #0,4
Current State: 81:[15, 83, 13], Operations: ['65/5=13']
Exploring Operation: 15-13=2, Resulting Numbers: [83, 2]
Generated Node #0,4,4: 81:[83, 2] Operation: 15-13=2
Moving to Node #0,4,4
Current State: 81:[83, 2], Operations: ['65/5=13', '15-13=2']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.965278
|
hs_5
|
sum_heuristic
|
[
32,
17,
37,
72
] | 24
|
[
"17+37=54",
"32*54=1728",
"1728/72=24"
] |
Current State: 24:[32, 17, 37, 72], Operations: []
Exploring Operation: 17+37=54, Resulting Numbers: [32, 72, 54]
Generated Node #2: [32, 72, 54] from Operation: 17+37=54
Current State: 24:[32, 72, 54], Operations: ['17+37=54']
Exploring Operation: 32*54=1728, Resulting Numbers: [72, 1728]
Generated Node #3: [72, 1728] from Operation: 32*54=1728
Current State: 24:[72, 1728], Operations: ['17+37=54', '32*54=1728']
Exploring Operation: 1728/72=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4
|
Current State: 24:[32, 17, 37, 72], Operations: []
Exploring Operation: 72-37=35, Resulting Numbers: [32, 17, 35]
Generated Node #0,0: 24:[32, 17, 35] Operation: 72-37=35
Exploring Operation: 37-32=5, Resulting Numbers: [17, 72, 5]
Generated Node #0,1: 24:[17, 72, 5] Operation: 37-32=5
Exploring Operation: 72-17=55, Resulting Numbers: [32, 37, 55]
Generated Node #0,2: 24:[32, 37, 55] Operation: 72-17=55
Exploring Operation: 72-32=40, Resulting Numbers: [17, 37, 40]
Generated Node #0,3: 24:[17, 37, 40] Operation: 72-32=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[32, 17, 35], Operations: ['72-37=35']
Exploring Operation: 35-17=18, Resulting Numbers: [32, 18]
Generated Node #0,0,0: 24:[32, 18] Operation: 35-17=18
Exploring Operation: 35-32=3, Resulting Numbers: [17, 3]
Generated Node #0,0,1: 24:[17, 3] Operation: 35-32=3
Exploring Operation: 32+17=49, Resulting Numbers: [35, 49]
Generated Node #0,0,2: 24:[35, 49] Operation: 32+17=49
Exploring Operation: 32-17=15, Resulting Numbers: [35, 15]
Generated Node #0,0,3: 24:[35, 15] Operation: 32-17=15
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 24:[17, 3], Operations: ['72-37=35', '35-32=3']
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,24 unequal: No Solution
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,24 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 #0,0,0
Current State: 24:[32, 18], Operations: ['72-37=35', '35-17=18']
Exploring Operation: 32*18=576, Resulting Numbers: [576]
576,24 unequal: No Solution
Exploring Operation: 32-18=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 32+18=50, Resulting Numbers: [50]
50,24 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 #0,0,3
Current State: 24:[35, 15], Operations: ['72-37=35', '32-17=15']
Exploring Operation: 35+15=50, Resulting Numbers: [50]
50,24 unequal: No Solution
Exploring Operation: 35*15=525, Resulting Numbers: [525]
525,24 unequal: No Solution
Exploring Operation: 35-15=20, Resulting Numbers: [20]
20,24 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 #0,0,2
Current State: 24:[35, 49], Operations: ['72-37=35', '32+17=49']
Exploring Operation: 35*49=1715, Resulting Numbers: [1715]
1715,24 unequal: No Solution
Exploring Operation: 49-35=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 35+49=84, Resulting Numbers: [84]
84,24 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 #0,3
Current State: 24:[17, 37, 40], Operations: ['72-32=40']
Exploring Operation: 17+37=54, Resulting Numbers: [40, 54]
Generated Node #0,3,0: 24:[40, 54] Operation: 17+37=54
Exploring Operation: 37-17=20, Resulting Numbers: [40, 20]
Generated Node #0,3,1: 24:[40, 20] Operation: 37-17=20
Exploring Operation: 40-17=23, Resulting Numbers: [37, 23]
Generated Node #0,3,2: 24:[37, 23] Operation: 40-17=23
Exploring Operation: 40-37=3, Resulting Numbers: [17, 3]
Generated Node #0,3,3: 24:[17, 3] Operation: 40-37=3
Moving to Node #0,3,3
Current State: 24:[17, 3], Operations: ['72-32=40', '40-37=3']
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,24 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,24 unequal: No Solution
Moving to Node #0,3,2
Current State: 24:[37, 23], Operations: ['72-32=40', '40-17=23']
Exploring Operation: 37*23=851, Resulting Numbers: [851]
851,24 unequal: No Solution
Exploring Operation: 37+23=60, Resulting Numbers: [60]
60,24 unequal: No Solution
Exploring Operation: 37-23=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Moving to Node #0,3,1
Current State: 24:[40, 20], Operations: ['72-32=40', '37-17=20']
Exploring Operation: 40*20=800, Resulting Numbers: [800]
800,24 unequal: No Solution
Exploring Operation: 40-20=20, Resulting Numbers: [20]
20,24 unequal: No Solution
Exploring Operation: 40/20=2, Resulting Numbers: [2]
2,24 unequal: No Solution
Exploring Operation: 40+20=60, Resulting Numbers: [60]
60,24 unequal: No Solution
Moving to Node #0,3,0
Current State: 24:[40, 54], Operations: ['72-32=40', '17+37=54']
Exploring Operation: 40*54=2160, Resulting Numbers: [2160]
2160,24 unequal: No Solution
Exploring Operation: 54-40=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 40+54=94, Resulting Numbers: [94]
94,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 24:[32, 37, 55], Operations: ['72-17=55']
Exploring Operation: 55-32=23, Resulting Numbers: [37, 23]
Generated Node #0,2,0: 24:[37, 23] Operation: 55-32=23
Exploring Operation: 37-32=5, Resulting Numbers: [55, 5]
Generated Node #0,2,1: 24:[55, 5] Operation: 37-32=5
Exploring Operation: 32+37=69, Resulting Numbers: [55, 69]
Generated Node #0,2,2: 24:[55, 69] Operation: 32+37=69
Exploring Operation: 55-37=18, Resulting Numbers: [32, 18]
Generated Node #0,2,3: 24:[32, 18] Operation: 55-37=18
Moving to Node #0,2,0
Current State: 24:[37, 23], Operations: ['72-17=55', '55-32=23']
Exploring Operation: 37+23=60, Resulting Numbers: [60]
60,24 unequal: No Solution
Exploring Operation: 37-23=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 37*23=851, Resulting Numbers: [851]
851,24 unequal: No Solution
Moving to Node #0,2,3
Current State: 24:[32, 18], Operations: ['72-17=55', '55-37=18']
Exploring Operation: 32+18=50, Resulting Numbers: [50]
50,24 unequal: No Solution
Exploring Operation: 32-18=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 32*18=576, Resulting Numbers: [576]
576,24 unequal: No Solution
Moving to Node #0,2,1
Current State: 24:[55, 5], Operations: ['72-17=55', '37-32=5']
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,24 unequal: No Solution
Exploring Operation: 55*5=275, Resulting Numbers: [275]
275,24 unequal: No Solution
Exploring Operation: 55+5=60, Resulting Numbers: [60]
60,24 unequal: No Solution
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,24 unequal: No Solution
Moving to Node #0,2,2
Current State: 24:[55, 69], Operations: ['72-17=55', '32+37=69']
Exploring Operation: 55+69=124, Resulting Numbers: [124]
124,24 unequal: No Solution
Exploring Operation: 55*69=3795, Resulting Numbers: [3795]
3795,24 unequal: No Solution
Exploring Operation: 69-55=14, Resulting Numbers: [14]
14,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 24:[17, 72, 5], Operations: ['37-32=5']
Exploring Operation: 72-5=67, Resulting Numbers: [17, 67]
Generated Node #0,1,0: 24:[17, 67] Operation: 72-5=67
Exploring Operation: 17-5=12, Resulting Numbers: [72, 12]
Generated Node #0,1,1: 24:[72, 12] Operation: 17-5=12
Exploring Operation: 17+5=22, Resulting Numbers: [72, 22]
Generated Node #0,1,2: 24:[72, 22] Operation: 17+5=22
Exploring Operation: 72-17=55, Resulting Numbers: [5, 55]
Generated Node #0,1,3: 24:[5, 55] Operation: 72-17=55
Moving to Node #0,1,3
Current State: 24:[5, 55], Operations: ['37-32=5', '72-17=55']
Exploring Operation: 5+55=60, Resulting Numbers: [60]
60,24 unequal: No Solution
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,24 unequal: No Solution
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,24 unequal: No Solution
Exploring Operation: 5*55=275, Resulting Numbers: [275]
275,24 unequal: No Solution
Moving to Node #0,1,1
Current State: 24:[72, 12], Operations: ['37-32=5', '17-5=12']
Exploring Operation: 72/12=6, Resulting Numbers: [6]
6,24 unequal: No Solution
Exploring Operation: 72-12=60, Resulting Numbers: [60]
60,24 unequal: No Solution
Exploring Operation: 72*12=864, Resulting Numbers: [864]
864,24 unequal: No Solution
Exploring Operation: 72+12=84, Resulting Numbers: [84]
84,24 unequal: No Solution
Moving to Node #0,1,0
Current State: 24:[17, 67], Operations: ['37-32=5', '72-5=67']
Exploring Operation: 17+67=84, Resulting Numbers: [84]
84,24 unequal: No Solution
Exploring Operation: 67-17=50, Resulting Numbers: [50]
50,24 unequal: No Solution
Exploring Operation: 17*67=1139, Resulting Numbers: [1139]
1139,24 unequal: No Solution
Moving to Node #0,1,2
Current State: 24:[72, 22], Operations: ['37-32=5', '17+5=22']
Exploring Operation: 72+22=94, Resulting Numbers: [94]
94,24 unequal: No Solution
Exploring Operation: 72*22=1584, Resulting Numbers: [1584]
1584,24 unequal: No Solution
Exploring Operation: 72-22=50, Resulting Numbers: [50]
50,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_4
|
sum_heuristic
|
[
48,
96,
56,
23
] | 77
|
[
"96/48=2",
"56+23=79",
"79-2=77"
] |
Current State: 77:[48, 96, 56, 23], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [56, 23, 2]
Generated Node #2: [56, 23, 2] from Operation: 96/48=2
Current State: 77:[56, 23, 2], Operations: ['96/48=2']
Exploring Operation: 56+23=79, Resulting Numbers: [2, 79]
Generated Node #3: [2, 79] from Operation: 56+23=79
Current State: 77:[2, 79], Operations: ['96/48=2', '56+23=79']
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4
|
Current State: 77:[48, 96, 56, 23], Operations: []
Exploring Operation: 56-48=8, Resulting Numbers: [96, 23, 8]
Generated Node #0,0: 77:[96, 23, 8] Operation: 56-48=8
Moving to Node #0,0
Current State: 77:[96, 23, 8], Operations: ['56-48=8']
Exploring Operation: 96-23=73, Resulting Numbers: [8, 73]
Generated Node #0,0,0: 77:[8, 73] Operation: 96-23=73
Moving to Node #0,0,0
Current State: 77:[8, 73], Operations: ['56-48=8', '96-23=73']
Exploring Operation: 8+73=81, Resulting Numbers: [81]
81,77 unequal: No Solution
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
52,
56,
42,
3
] | 26
|
[
"52-42=10",
"3*10=30",
"56-30=26"
] |
Current State: 26:[52, 56, 42, 3], Operations: []
Exploring Operation: 52-42=10, Resulting Numbers: [56, 3, 10]
Generated Node #2: [56, 3, 10] from Operation: 52-42=10
Current State: 26:[56, 3, 10], Operations: ['52-42=10']
Exploring Operation: 3*10=30, Resulting Numbers: [56, 30]
Generated Node #3: [56, 30] from Operation: 3*10=30
Current State: 26:[56, 30], Operations: ['52-42=10', '3*10=30']
Exploring Operation: 56-30=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4
|
Current State: 26:[52, 56, 42, 3], Operations: []
Exploring Operation: 56-52=4, Resulting Numbers: [42, 3, 4]
Generated Node #0,0: 26:[42, 3, 4] Operation: 56-52=4
Moving to Node #0,0
Current State: 26:[42, 3, 4], Operations: ['56-52=4']
Exploring Operation: 42/3=14, Resulting Numbers: [4, 14]
Generated Node #0,0,0: 26:[4, 14] Operation: 42/3=14
Moving to Node #0,0,0
Current State: 26:[4, 14], Operations: ['56-52=4', '42/3=14']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,26 unequal: No Solution
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
13,
15,
48,
13
] | 83
|
[
"15-13=2",
"48*2=96",
"96-13=83"
] |
Current State: 83:[13, 15, 48, 13], Operations: []
Exploring Operation: 15-13=2, Resulting Numbers: [48, 2]
Generated Node #2: [48, 2] from Operation: 15-13=2
Current State: 83:[48, 2], Operations: ['15-13=2']
Exploring Operation: 48*2=96, Resulting Numbers: [96]
96,83 equal: Goal Reached
Exploring Operation: 96-13=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4
|
Current State: 83:[13, 15, 48, 13], Operations: []
Exploring Operation: 13+15=28, Resulting Numbers: [48, 13, 28]
Generated Node #0,0: 83:[48, 13, 28] Operation: 13+15=28
Exploring Operation: 13+48=61, Resulting Numbers: [15, 13, 61]
Generated Node #0,1: 83:[15, 13, 61] Operation: 13+48=61
Moving to Node #0,0
Current State: 83:[48, 13, 28], Operations: ['13+15=28']
Exploring Operation: 48+13=61, Resulting Numbers: [28, 61]
Generated Node #0,0,0: 83:[28, 61] Operation: 48+13=61
Exploring Operation: 48+28=76, Resulting Numbers: [13, 76]
Generated Node #0,0,1: 83:[13, 76] Operation: 48+28=76
Moving to Node #0,1
Current State: 83:[15, 13, 61], Operations: ['13+48=61']
Exploring Operation: 15+61=76, Resulting Numbers: [13, 76]
Generated Node #0,1,0: 83:[13, 76] Operation: 15+61=76
Exploring Operation: 15+13=28, Resulting Numbers: [61, 28]
Generated Node #0,1,1: 83:[61, 28] Operation: 15+13=28
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 83:[13, 76], Operations: ['13+48=61', '15+61=76']
Exploring Operation: 13+76=89, Resulting Numbers: [89]
89,83 unequal: No Solution
Exploring Operation: 76-13=63, Resulting Numbers: [63]
63,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 83:[61, 28], Operations: ['13+48=61', '15+13=28']
Exploring Operation: 61+28=89, Resulting Numbers: [89]
89,83 unequal: No Solution
Exploring Operation: 61-28=33, Resulting Numbers: [33]
33,83 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: 83:[28, 61], Operations: ['13+15=28', '48+13=61']
Exploring Operation: 28+61=89, Resulting Numbers: [89]
89,83 unequal: No Solution
Exploring Operation: 61-28=33, Resulting Numbers: [33]
33,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[13, 76], Operations: ['13+15=28', '48+28=76']
Exploring Operation: 76-13=63, Resulting Numbers: [63]
63,83 unequal: No Solution
Exploring Operation: 13+76=89, Resulting Numbers: [89]
89,83 unequal: No Solution
No solution found.
| 0
|
hs_2
|
sum_heuristic
|
[
25,
87,
92,
19
] | 24
|
[
"92-87=5",
"25/5=5",
"19+5=24"
] |
Current State: 24:[25, 87, 92, 19], Operations: []
Exploring Operation: 92-87=5, Resulting Numbers: [25, 19, 5]
Generated Node #2: [25, 19, 5] from Operation: 92-87=5
Current State: 24:[25, 19, 5], Operations: ['92-87=5']
Exploring Operation: 25/5=5, Resulting Numbers: [19, 5]
Generated Node #3: [19, 5] from Operation: 25/5=5
Current State: 24:[19, 5], Operations: ['92-87=5', '25/5=5']
Exploring Operation: 19+5=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4
|
Current State: 24:[25, 87, 92, 19], Operations: []
Exploring Operation: 92-87=5, Resulting Numbers: [25, 19, 5]
Generated Node #0,0: 24:[25, 19, 5] Operation: 92-87=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[25, 19, 5], Operations: ['92-87=5']
Exploring Operation: 25-19=6, Resulting Numbers: [5, 6]
Generated Node #0,0,0: 24:[5, 6] Operation: 25-19=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 24:[5, 6], Operations: ['92-87=5', '25-19=6']
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,24 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
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
43,
12,
20,
10
] | 25
|
[
"43+12=55",
"20+10=30",
"55-30=25"
] |
Current State: 25:[43, 12, 20, 10], Operations: []
Exploring Operation: 43+12=55, Resulting Numbers: [20, 10, 55]
Generated Node #2: [20, 10, 55] from Operation: 43+12=55
Current State: 25:[20, 10, 55], Operations: ['43+12=55']
Exploring Operation: 20+10=30, Resulting Numbers: [55, 30]
Generated Node #3: [55, 30] from Operation: 20+10=30
Current State: 25:[55, 30], Operations: ['43+12=55', '20+10=30']
Exploring Operation: 55-30=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4
|
Current State: 25:[43, 12, 20, 10], Operations: []
Exploring Operation: 43-20=23, Resulting Numbers: [12, 10, 23]
Generated Node #0,0: 25:[12, 10, 23] Operation: 43-20=23
Exploring Operation: 43-12=31, Resulting Numbers: [20, 10, 31]
Generated Node #0,1: 25:[20, 10, 31] Operation: 43-12=31
Exploring Operation: 12+10=22, Resulting Numbers: [43, 20, 22]
Generated Node #0,2: 25:[43, 20, 22] Operation: 12+10=22
Exploring Operation: 43-10=33, Resulting Numbers: [12, 20, 33]
Generated Node #0,3: 25:[12, 20, 33] Operation: 43-10=33
Exploring Operation: 20-12=8, Resulting Numbers: [43, 10, 8]
Generated Node #0,4: 25:[43, 10, 8] Operation: 20-12=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[12, 10, 23], Operations: ['43-20=23']
Exploring Operation: 12+23=35, Resulting Numbers: [10, 35]
Generated Node #0,0,0: 25:[10, 35] Operation: 12+23=35
Exploring Operation: 23-12=11, Resulting Numbers: [10, 11]
Generated Node #0,0,1: 25:[10, 11] Operation: 23-12=11
Exploring Operation: 10+23=33, Resulting Numbers: [12, 33]
Generated Node #0,0,2: 25:[12, 33] Operation: 10+23=33
Exploring Operation: 12+10=22, Resulting Numbers: [23, 22]
Generated Node #0,0,3: 25:[23, 22] Operation: 12+10=22
Exploring Operation: 12-10=2, Resulting Numbers: [23, 2]
Generated Node #0,0,4: 25:[23, 2] Operation: 12-10=2
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 25:[23, 22], Operations: ['43-20=23', '12+10=22']
Exploring Operation: 23-22=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 23+22=45, Resulting Numbers: [45]
45,25 unequal: No Solution
Exploring Operation: 23*22=506, Resulting Numbers: [506]
506,25 unequal: No Solution
No 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: 25:[23, 2], Operations: ['43-20=23', '12-10=2']
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,25 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,25 unequal: No Solution
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[43, 12, 20, 10], Operations: []
Exploring Operation: 43-20=23, Resulting Numbers: [12, 10, 23]
Generated Node #0,0: 25:[12, 10, 23] Operation: 43-20=23
Moving to Node #0,0
Current State: 25:[12, 10, 23], Operations: ['43-20=23']
Exploring Operation: 12-10=2, Resulting Numbers: [23, 2]
Generated Node #0,0,4: 25:[23, 2] Operation: 12-10=2
Moving to Node #0,0,4
Current State: 25:[23, 2], Operations: ['43-20=23', '12-10=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.982639
|
hs_5
|
sum_heuristic
|
[
95,
15,
85,
51
] | 99
|
[
"95-85=10",
"15*10=150",
"150-51=99"
] |
Current State: 99:[95, 15, 85, 51], Operations: []
Exploring Operation: 95-85=10, Resulting Numbers: [15, 51, 10]
Generated Node #2: [15, 51, 10] from Operation: 95-85=10
Current State: 99:[15, 51, 10], Operations: ['95-85=10']
Exploring Operation: 15*10=150, Resulting Numbers: [51, 150]
Generated Node #3: [51, 150] from Operation: 15*10=150
Current State: 99:[51, 150], Operations: ['95-85=10', '15*10=150']
Exploring Operation: 150-51=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4
|
Current State: 99:[95, 15, 85, 51], Operations: []
Exploring Operation: 51-15=36, Resulting Numbers: [95, 85, 36]
Generated Node #0,0: 99:[95, 85, 36] Operation: 51-15=36
Exploring Operation: 85-51=34, Resulting Numbers: [95, 15, 34]
Generated Node #0,1: 99:[95, 15, 34] Operation: 85-51=34
Moving to Node #0,1
Current State: 99:[95, 15, 34], Operations: ['85-51=34']
Exploring Operation: 34-15=19, Resulting Numbers: [95, 19]
Generated Node #0,1,0: 99:[95, 19] Operation: 34-15=19
Exploring Operation: 95+15=110, Resulting Numbers: [34, 110]
Generated Node #0,1,1: 99:[34, 110] Operation: 95+15=110
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 99:[95, 19], Operations: ['85-51=34', '34-15=19']
Exploring Operation: 95+19=114, Resulting Numbers: [114]
114,99 unequal: No Solution
Exploring Operation: 95/19=5, Resulting Numbers: [5]
5,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 99:[34, 110], Operations: ['85-51=34', '95+15=110']
Exploring Operation: 34+110=144, Resulting Numbers: [144]
144,99 unequal: No Solution
Exploring Operation: 110-34=76, Resulting Numbers: [76]
76,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 99:[95, 85, 36], Operations: ['51-15=36']
Exploring Operation: 95-85=10, Resulting Numbers: [36, 10]
Generated Node #0,0,0: 99:[36, 10] Operation: 95-85=10
Exploring Operation: 85-36=49, Resulting Numbers: [95, 49]
Generated Node #0,0,1: 99:[95, 49] Operation: 85-36=49
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 99:[36, 10], Operations: ['51-15=36', '95-85=10']
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,99 unequal: No Solution
Exploring Operation: 36+10=46, Resulting Numbers: [46]
46,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 99:[95, 49], Operations: ['51-15=36', '85-36=49']
Exploring Operation: 95-49=46, Resulting Numbers: [46]
46,99 unequal: No Solution
Exploring Operation: 95+49=144, Resulting Numbers: [144]
144,99 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
|
[
46,
23,
63,
59
] | 65
|
[
"46+23=69",
"63-59=4",
"69-4=65"
] |
Current State: 65:[46, 23, 63, 59], Operations: []
Exploring Operation: 46+23=69, Resulting Numbers: [63, 59, 69]
Generated Node #2: [63, 59, 69] from Operation: 46+23=69
Current State: 65:[63, 59, 69], Operations: ['46+23=69']
Exploring Operation: 63-59=4, Resulting Numbers: [69, 4]
Generated Node #3: [69, 4] from Operation: 63-59=4
Current State: 65:[69, 4], Operations: ['46+23=69', '63-59=4']
Exploring Operation: 69-4=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4
|
Current State: 65:[46, 23, 63, 59], Operations: []
Exploring Operation: 46/23=2, Resulting Numbers: [63, 59, 2]
Generated Node #0,0: 65:[63, 59, 2] Operation: 46/23=2
Exploring Operation: 46+23=69, Resulting Numbers: [63, 59, 69]
Generated Node #0,1: 65:[63, 59, 69] Operation: 46+23=69
Moving to Node #0,0
Current State: 65:[63, 59, 2], Operations: ['46/23=2']
Exploring Operation: 63+2=65, Resulting Numbers: [59, 65]
Generated Node #0,0,0: 65:[59, 65] Operation: 63+2=65
Exploring Operation: 63-59=4, Resulting Numbers: [2, 4]
Generated Node #0,0,1: 65:[2, 4] Operation: 63-59=4
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 65:[2, 4], Operations: ['46/23=2', '63-59=4']
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,65 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:[59, 65], Operations: ['46/23=2', '63+2=65']
Exploring Operation: 65-59=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Exploring Operation: 59+65=124, Resulting Numbers: [124]
124,65 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: 65:[63, 59, 69], Operations: ['46+23=69']
Exploring Operation: 69-59=10, Resulting Numbers: [63, 10]
Generated Node #0,1,0: 65:[63, 10] Operation: 69-59=10
Exploring Operation: 63-59=4, Resulting Numbers: [69, 4]
Generated Node #0,1,1: 65:[69, 4] Operation: 63-59=4
Moving to Node #0,1,0
Current State: 65:[63, 10], Operations: ['46+23=69', '69-59=10']
Exploring Operation: 63-10=53, Resulting Numbers: [53]
53,65 unequal: No Solution
Exploring Operation: 63+10=73, Resulting Numbers: [73]
73,65 unequal: No Solution
Moving to Node #0,1,1
Current State: 65:[69, 4], Operations: ['46+23=69', '63-59=4']
Exploring Operation: 69+4=73, Resulting Numbers: [73]
73,65 unequal: No Solution
Exploring Operation: 69-4=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[46, 23, 63, 59], Operations: []
Exploring Operation: 46+23=69, Resulting Numbers: [63, 59, 69]
Generated Node #0,1: 65:[63, 59, 69] Operation: 46+23=69
Moving to Node #0,1
Current State: 65:[63, 59, 69], Operations: ['46+23=69']
Exploring Operation: 63-59=4, Resulting Numbers: [69, 4]
Generated Node #0,1,1: 65:[69, 4] Operation: 63-59=4
Moving to Node #0,1,1
Current State: 65:[69, 4], Operations: ['46+23=69', '63-59=4']
Exploring Operation: 69-4=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 0.984375
|
hs_2
|
mult_heuristic
|
[
10,
68,
69,
45
] | 34
|
[
"68-10=58",
"69-45=24",
"58-24=34"
] |
Current State: 34:[10, 68, 69, 45], Operations: []
Exploring Operation: 68-10=58, Resulting Numbers: [69, 45, 58]
Generated Node #2: [69, 45, 58] from Operation: 68-10=58
Current State: 34:[69, 45, 58], Operations: ['68-10=58']
Exploring Operation: 69-45=24, Resulting Numbers: [58, 24]
Generated Node #3: [58, 24] from Operation: 69-45=24
Current State: 34:[58, 24], Operations: ['68-10=58', '69-45=24']
Exploring Operation: 58-24=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4
|
Current State: 34:[10, 68, 69, 45], Operations: []
Exploring Operation: 68-45=23, Resulting Numbers: [10, 69, 23]
Generated Node #0,0: 34:[10, 69, 23] Operation: 68-45=23
Exploring Operation: 69-68=1, Resulting Numbers: [10, 45, 1]
Generated Node #0,1: 34:[10, 45, 1] Operation: 69-68=1
Exploring Operation: 69-45=24, Resulting Numbers: [10, 68, 24]
Generated Node #0,2: 34:[10, 68, 24] Operation: 69-45=24
Exploring Operation: 68-10=58, Resulting Numbers: [69, 45, 58]
Generated Node #0,3: 34:[69, 45, 58] Operation: 68-10=58
Start Sub Search at level 1: Moving to Node #0,1
Current State: 34:[10, 45, 1], Operations: ['69-68=1']
Exploring Operation: 10*1=10, Resulting Numbers: [45, 10]
Generated Node #0,1,0: 34:[45, 10] Operation: 10*1=10
Exploring Operation: 10+1=11, Resulting Numbers: [45, 11]
Generated Node #0,1,1: 34:[45, 11] Operation: 10+1=11
Exploring Operation: 45-10=35, Resulting Numbers: [1, 35]
Generated Node #0,1,2: 34:[1, 35] Operation: 45-10=35
Exploring Operation: 45-1=44, Resulting Numbers: [10, 44]
Generated Node #0,1,3: 34:[10, 44] Operation: 45-1=44
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 34:[1, 35], Operations: ['69-68=1', '45-10=35']
Exploring Operation: 35/1=35, Resulting Numbers: [35]
35,34 unequal: No Solution
Exploring Operation: 1*35=35, Resulting Numbers: [35]
35,34 unequal: No Solution
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[10, 68, 69, 45], Operations: []
Exploring Operation: 69-68=1, Resulting Numbers: [10, 45, 1]
Generated Node #0,1: 34:[10, 45, 1] Operation: 69-68=1
Moving to Node #0,1
Current State: 34:[10, 45, 1], Operations: ['69-68=1']
Exploring Operation: 45-10=35, Resulting Numbers: [1, 35]
Generated Node #0,1,2: 34:[1, 35] Operation: 45-10=35
Moving to Node #0,1,2
Current State: 34:[1, 35], Operations: ['69-68=1', '45-10=35']
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979
|
hs_4
|
sum_heuristic
|
[
30,
90,
78,
95
] | 20
|
[
"90/30=3",
"95-78=17",
"3+17=20"
] |
Current State: 20:[30, 90, 78, 95], Operations: []
Exploring Operation: 90/30=3, Resulting Numbers: [78, 95, 3]
Generated Node #2: [78, 95, 3] from Operation: 90/30=3
Current State: 20:[78, 95, 3], Operations: ['90/30=3']
Exploring Operation: 95-78=17, Resulting Numbers: [3, 17]
Generated Node #3: [3, 17] from Operation: 95-78=17
Current State: 20:[3, 17], Operations: ['90/30=3', '95-78=17']
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4
|
Current State: 20:[30, 90, 78, 95], Operations: []
Exploring Operation: 95-90=5, Resulting Numbers: [30, 78, 5]
Generated Node #0,0: 20:[30, 78, 5] Operation: 95-90=5
Moving to Node #0,0
Current State: 20:[30, 78, 5], Operations: ['95-90=5']
Exploring Operation: 78-30=48, Resulting Numbers: [5, 48]
Generated Node #0,0,0: 20:[5, 48] Operation: 78-30=48
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 20:[5, 48], Operations: ['95-90=5', '78-30=48']
Exploring Operation: 48-5=43, Resulting Numbers: [43]
43,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
42,
55,
23,
65
] | 56
|
[
"42+23=65",
"65/65=1",
"55+1=56"
] |
Current State: 56:[42, 55, 23, 65], Operations: []
Exploring Operation: 42+23=65, Resulting Numbers: [55, 65, 65]
Generated Node #2: [55, 65, 65] from Operation: 42+23=65
Current State: 56:[55, 65, 65], Operations: ['42+23=65']
Exploring Operation: 65/65=1, Resulting Numbers: [55, 1]
Generated Node #3: [55, 1] from Operation: 65/65=1
Current State: 56:[55, 1], Operations: ['42+23=65', '65/65=1']
Exploring Operation: 55+1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4
|
Current State: 56:[42, 55, 23, 65], Operations: []
Exploring Operation: 65-42=23, Resulting Numbers: [55, 23, 23]
Generated Node #0,0: 56:[55, 23, 23] Operation: 65-42=23
Exploring Operation: 55-42=13, Resulting Numbers: [23, 65, 13]
Generated Node #0,1: 56:[23, 65, 13] Operation: 55-42=13
Exploring Operation: 42-23=19, Resulting Numbers: [55, 65, 19]
Generated Node #0,2: 56:[55, 65, 19] Operation: 42-23=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[55, 23, 23], Operations: ['65-42=23']
Exploring Operation: 55-23=32, Resulting Numbers: [23, 32]
Generated Node #0,0,0: 56:[23, 32] Operation: 55-23=32
Exploring Operation: 23-23=0, Resulting Numbers: [55, 0]
Generated Node #0,0,1: 56:[55, 0] Operation: 23-23=0
Exploring Operation: 23/23=1, Resulting Numbers: [55, 1]
Generated Node #0,0,2: 56:[55, 1] Operation: 23/23=1
Moving to Node #0,0,2
Current State: 56:[55, 1], Operations: ['65-42=23', '23/23=1']
Exploring Operation: 55+1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[42, 55, 23, 65], Operations: []
Exploring Operation: 65-42=23, Resulting Numbers: [55, 23, 23]
Generated Node #0,0: 56:[55, 23, 23] Operation: 65-42=23
Moving to Node #0,0
Current State: 56:[55, 23, 23], Operations: ['65-42=23']
Exploring Operation: 23/23=1, Resulting Numbers: [55, 1]
Generated Node #0,0,2: 56:[55, 1] Operation: 23/23=1
Moving to Node #0,0,2
Current State: 56:[55, 1], Operations: ['65-42=23', '23/23=1']
Exploring Operation: 55+1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451
|
hs_3
|
mult_heuristic
|
[
61,
61,
23,
3
] | 23
|
[
"61-61=0",
"3*0=0",
"23+0=23"
] |
Current State: 23:[61, 61, 23, 3], Operations: []
Exploring Operation: 61-61=0, Resulting Numbers: [23, 3, 0]
Generated Node #2: [23, 3, 0] from Operation: 61-61=0
Current State: 23:[23, 3, 0], Operations: ['61-61=0']
Exploring Operation: 3*0=0, Resulting Numbers: [23, 0]
Generated Node #3: [23, 0] from Operation: 3*0=0
Current State: 23:[23, 0], Operations: ['61-61=0', '3*0=0']
Exploring Operation: 23+0=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4
|
Current State: 23:[61, 61, 23, 3], Operations: []
Exploring Operation: 61-61=0, Resulting Numbers: [23, 3, 0]
Generated Node #0,0: 23:[23, 3, 0] Operation: 61-61=0
Exploring Operation: 61/61=1, Resulting Numbers: [23, 3, 1]
Generated Node #0,1: 23:[23, 3, 1] Operation: 61/61=1
Exploring Operation: 61-23=38, Resulting Numbers: [61, 3, 38]
Generated Node #0,2: 23:[61, 3, 38] Operation: 61-23=38
Start Sub Search at level 1: Moving to Node #0,1
Current State: 23:[23, 3, 1], Operations: ['61/61=1']
Exploring Operation: 3+1=4, Resulting Numbers: [23, 4]
Generated Node #0,1,0: 23:[23, 4] Operation: 3+1=4
Exploring Operation: 23/1=23, Resulting Numbers: [3, 23]
Generated Node #0,1,1: 23:[3, 23] Operation: 23/1=23
Exploring Operation: 23*1=23, Resulting Numbers: [3, 23]
Generated Node #0,1,2: 23:[3, 23] Operation: 23*1=23
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 23:[23, 4], Operations: ['61/61=1', '3+1=4']
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,23 unequal: No Solution
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,23 unequal: No Solution
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,23 unequal: No Solution
No 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: 23:[3, 23], Operations: ['61/61=1', '23/1=23']
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,23 unequal: No Solution
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,23 unequal: No Solution
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,23 unequal: No Solution
No 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: 23:[3, 23], Operations: ['61/61=1', '23*1=23']
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,23 unequal: No Solution
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,23 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: 23:[23, 3, 0], Operations: ['61-61=0']
Exploring Operation: 23-0=23, Resulting Numbers: [3, 23]
Generated Node #0,0,0: 23:[3, 23] Operation: 23-0=23
Exploring Operation: 3+0=3, Resulting Numbers: [23, 3]
Generated Node #0,0,1: 23:[23, 3] Operation: 3+0=3
Exploring Operation: 23+0=23, Resulting Numbers: [3, 23]
Generated Node #0,0,2: 23:[3, 23] Operation: 23+0=23
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 23:[3, 23], Operations: ['61-61=0', '23-0=23']
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,23 unequal: No Solution
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,23 unequal: No Solution
No 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: 23:[23, 3], Operations: ['61-61=0', '3+0=3']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,23 unequal: No Solution
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,23 unequal: No Solution
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,23 unequal: No Solution
No 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: 23:[3, 23], Operations: ['61-61=0', '23+0=23']
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,23 unequal: No Solution
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,23 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: 23:[61, 3, 38], Operations: ['61-23=38']
Exploring Operation: 61-3=58, Resulting Numbers: [38, 58]
Generated Node #0,2,0: 23:[38, 58] Operation: 61-3=58
Exploring Operation: 61-38=23, Resulting Numbers: [3, 23]
Generated Node #0,2,1: 23:[3, 23] Operation: 61-38=23
Exploring Operation: 38-3=35, Resulting Numbers: [61, 35]
Generated Node #0,2,2: 23:[61, 35] Operation: 38-3=35
Moving to Node #0,2,1
Current State: 23:[3, 23], Operations: ['61-23=38', '61-38=23']
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,23 unequal: No Solution
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,23 unequal: No Solution
Moving to Node #0,2,0
Current State: 23:[38, 58], Operations: ['61-23=38', '61-3=58']
Exploring Operation: 38*58=2204, Resulting Numbers: [2204]
2204,23 unequal: No Solution
Exploring Operation: 38+58=96, Resulting Numbers: [96]
96,23 unequal: No Solution
Exploring Operation: 58-38=20, Resulting Numbers: [20]
20,23 unequal: No Solution
Moving to Node #0,2,2
Current State: 23:[61, 35], Operations: ['61-23=38', '38-3=35']
Exploring Operation: 61*35=2135, Resulting Numbers: [2135]
2135,23 unequal: No Solution
Exploring Operation: 61-35=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 61+35=96, Resulting Numbers: [96]
96,23 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
|
[
31,
80,
32,
3
] | 78
|
[
"80-31=49",
"32-3=29",
"49+29=78"
] |
Current State: 78:[31, 80, 32, 3], Operations: []
Exploring Operation: 80-31=49, Resulting Numbers: [32, 3, 49]
Generated Node #2: [32, 3, 49] from Operation: 80-31=49
Current State: 78:[32, 3, 49], Operations: ['80-31=49']
Exploring Operation: 32-3=29, Resulting Numbers: [49, 29]
Generated Node #3: [49, 29] from Operation: 32-3=29
Current State: 78:[49, 29], Operations: ['80-31=49', '32-3=29']
Exploring Operation: 49+29=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4
|
Current State: 78:[31, 80, 32, 3], Operations: []
Exploring Operation: 32-31=1, Resulting Numbers: [80, 3, 1]
Generated Node #0,0: 78:[80, 3, 1] Operation: 32-31=1
Exploring Operation: 31-3=28, Resulting Numbers: [80, 32, 28]
Generated Node #0,1: 78:[80, 32, 28] Operation: 31-3=28
Exploring Operation: 32+3=35, Resulting Numbers: [31, 80, 35]
Generated Node #0,2: 78:[31, 80, 35] Operation: 32+3=35
Exploring Operation: 80-3=77, Resulting Numbers: [31, 32, 77]
Generated Node #0,3: 78:[31, 32, 77] Operation: 80-3=77
Exploring Operation: 32-3=29, Resulting Numbers: [31, 80, 29]
Generated Node #0,4: 78:[31, 80, 29] Operation: 32-3=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[80, 3, 1], Operations: ['32-31=1']
Exploring Operation: 3*1=3, Resulting Numbers: [80, 3]
Generated Node #0,0,0: 78:[80, 3] Operation: 3*1=3
Exploring Operation: 80-3=77, Resulting Numbers: [1, 77]
Generated Node #0,0,1: 78:[1, 77] Operation: 80-3=77
Exploring Operation: 80/1=80, Resulting Numbers: [3, 80]
Generated Node #0,0,2: 78:[3, 80] Operation: 80/1=80
Exploring Operation: 80*1=80, Resulting Numbers: [3, 80]
Generated Node #0,0,3: 78:[3, 80] Operation: 80*1=80
Exploring Operation: 80-1=79, Resulting Numbers: [3, 79]
Generated Node #0,0,4: 78:[3, 79] Operation: 80-1=79
Moving to Node #0,0,4
Current State: 78:[3, 79], Operations: ['32-31=1', '80-1=79']
Exploring Operation: 79-3=76, Resulting Numbers: [76]
76,78 unequal: No Solution
Exploring Operation: 3+79=82, Resulting Numbers: [82]
82,78 unequal: No Solution
Exploring Operation: 3*79=237, Resulting Numbers: [237]
237,78 unequal: No Solution
Moving to Node #0,0,1
Current State: 78:[1, 77], Operations: ['32-31=1', '80-3=77']
Exploring Operation: 1+77=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[31, 80, 32, 3], Operations: []
Exploring Operation: 32-31=1, Resulting Numbers: [80, 3, 1]
Generated Node #0,0: 78:[80, 3, 1] Operation: 32-31=1
Moving to Node #0,0
Current State: 78:[80, 3, 1], Operations: ['32-31=1']
Exploring Operation: 80-3=77, Resulting Numbers: [1, 77]
Generated Node #0,0,1: 78:[1, 77] Operation: 80-3=77
Moving to Node #0,0,1
Current State: 78:[1, 77], Operations: ['32-31=1', '80-3=77']
Exploring Operation: 1+77=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375
|
hs_5
|
sum_heuristic
|
[
12,
30,
66,
95
] | 71
|
[
"12+30=42",
"95-66=29",
"42+29=71"
] |
Current State: 71:[12, 30, 66, 95], Operations: []
Exploring Operation: 12+30=42, Resulting Numbers: [66, 95, 42]
Generated Node #2: [66, 95, 42] from Operation: 12+30=42
Current State: 71:[66, 95, 42], Operations: ['12+30=42']
Exploring Operation: 95-66=29, Resulting Numbers: [42, 29]
Generated Node #3: [42, 29] from Operation: 95-66=29
Current State: 71:[42, 29], Operations: ['12+30=42', '95-66=29']
Exploring Operation: 42+29=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4
|
Current State: 71:[12, 30, 66, 95], Operations: []
Exploring Operation: 12+30=42, Resulting Numbers: [66, 95, 42]
Generated Node #0,0: 71:[66, 95, 42] Operation: 12+30=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[66, 95, 42], Operations: ['12+30=42']
Exploring Operation: 95-42=53, Resulting Numbers: [66, 53]
Generated Node #0,0,0: 71:[66, 53] Operation: 95-42=53
Moving to Node #0,0,0
Current State: 71:[66, 53], Operations: ['12+30=42', '95-42=53']
Exploring Operation: 66+53=119, Resulting Numbers: [119]
119,71 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
|
[
6,
95,
53,
13
] | 23
|
[
"95-6=89",
"53+13=66",
"89-66=23"
] |
Current State: 23:[6, 95, 53, 13], Operations: []
Exploring Operation: 95-6=89, Resulting Numbers: [53, 13, 89]
Generated Node #2: [53, 13, 89] from Operation: 95-6=89
Current State: 23:[53, 13, 89], Operations: ['95-6=89']
Exploring Operation: 53+13=66, Resulting Numbers: [89, 66]
Generated Node #3: [89, 66] from Operation: 53+13=66
Current State: 23:[89, 66], Operations: ['95-6=89', '53+13=66']
Exploring Operation: 89-66=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4
|
Current State: 23:[6, 95, 53, 13], Operations: []
Exploring Operation: 95-6=89, Resulting Numbers: [53, 13, 89]
Generated Node #0,0: 23:[53, 13, 89] Operation: 95-6=89
Exploring Operation: 95-53=42, Resulting Numbers: [6, 13, 42]
Generated Node #0,1: 23:[6, 13, 42] Operation: 95-53=42
Moving to Node #0,1
Current State: 23:[6, 13, 42], Operations: ['95-53=42']
Exploring Operation: 42-6=36, Resulting Numbers: [13, 36]
Generated Node #0,1,0: 23:[13, 36] Operation: 42-6=36
Exploring Operation: 6+13=19, Resulting Numbers: [42, 19]
Generated Node #0,1,1: 23:[42, 19] Operation: 6+13=19
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 23:[13, 36], Operations: ['95-53=42', '42-6=36']
Exploring Operation: 13+36=49, Resulting Numbers: [49]
49,23 unequal: No Solution
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[6, 95, 53, 13], Operations: []
Exploring Operation: 95-53=42, Resulting Numbers: [6, 13, 42]
Generated Node #0,1: 23:[6, 13, 42] Operation: 95-53=42
Moving to Node #0,1
Current State: 23:[6, 13, 42], Operations: ['95-53=42']
Exploring Operation: 42-6=36, Resulting Numbers: [13, 36]
Generated Node #0,1,0: 23:[13, 36] Operation: 42-6=36
Moving to Node #0,1,0
Current State: 23:[13, 36], Operations: ['95-53=42', '42-6=36']
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319
|
hs_2
|
mult_heuristic
|
[
36,
68,
13,
50
] | 41
|
[
"36+68=104",
"13+50=63",
"104-63=41"
] |
Current State: 41:[36, 68, 13, 50], Operations: []
Exploring Operation: 36+68=104, Resulting Numbers: [13, 50, 104]
Generated Node #2: [13, 50, 104] from Operation: 36+68=104
Current State: 41:[13, 50, 104], Operations: ['36+68=104']
Exploring Operation: 13+50=63, Resulting Numbers: [104, 63]
Generated Node #3: [104, 63] from Operation: 13+50=63
Current State: 41:[104, 63], Operations: ['36+68=104', '13+50=63']
Exploring Operation: 104-63=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4
|
Current State: 41:[36, 68, 13, 50], Operations: []
Exploring Operation: 68-13=55, Resulting Numbers: [36, 50, 55]
Generated Node #0,0: 41:[36, 50, 55] Operation: 68-13=55
Moving to Node #0,0
Current State: 41:[36, 50, 55], Operations: ['68-13=55']
Exploring Operation: 55-36=19, Resulting Numbers: [50, 19]
Generated Node #0,0,0: 41:[50, 19] Operation: 55-36=19
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 41:[50, 19], Operations: ['68-13=55', '55-36=19']
Exploring Operation: 50-19=31, Resulting Numbers: [31]
31,41 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
|
[
67,
37,
96,
8
] | 64
|
[
"67+37=104",
"104-96=8",
"8*8=64"
] |
Current State: 64:[67, 37, 96, 8], Operations: []
Exploring Operation: 67+37=104, Resulting Numbers: [96, 8, 104]
Generated Node #2: [96, 8, 104] from Operation: 67+37=104
Current State: 64:[96, 8, 104], Operations: ['67+37=104']
Exploring Operation: 104-96=8, Resulting Numbers: [8, 8]
Generated Node #3: [8, 8] from Operation: 104-96=8
Current State: 64:[8, 8], Operations: ['67+37=104', '104-96=8']
Exploring Operation: 8*8=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4
|
Current State: 64:[67, 37, 96, 8], Operations: []
Exploring Operation: 96-37=59, Resulting Numbers: [67, 8, 59]
Generated Node #0,0: 64:[67, 8, 59] Operation: 96-37=59
Exploring Operation: 96-67=29, Resulting Numbers: [37, 8, 29]
Generated Node #0,1: 64:[37, 8, 29] Operation: 96-67=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[67, 8, 59], Operations: ['96-37=59']
Exploring Operation: 8+59=67, Resulting Numbers: [67, 67]
Generated Node #0,0,0: 64:[67, 67] Operation: 8+59=67
Exploring Operation: 67-59=8, Resulting Numbers: [8, 8]
Generated Node #0,0,1: 64:[8, 8] Operation: 67-59=8
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 64:[8, 8], Operations: ['96-37=59', '67-59=8']
Exploring Operation: 8+8=16, Resulting Numbers: [16]
16,64 unequal: No Solution
Exploring Operation: 8*8=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[67, 37, 96, 8], Operations: []
Exploring Operation: 96-37=59, Resulting Numbers: [67, 8, 59]
Generated Node #0,0: 64:[67, 8, 59] Operation: 96-37=59
Moving to Node #0,0
Current State: 64:[67, 8, 59], Operations: ['96-37=59']
Exploring Operation: 67-59=8, Resulting Numbers: [8, 8]
Generated Node #0,0,1: 64:[8, 8] Operation: 67-59=8
Moving to Node #0,0,1
Current State: 64:[8, 8], Operations: ['96-37=59', '67-59=8']
Exploring Operation: 8*8=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319
|
hs_2
|
mult_heuristic
|
[
41,
45,
59,
52
] | 46
|
[
"45-41=4",
"52/4=13",
"59-13=46"
] |
Current State: 46:[41, 45, 59, 52], Operations: []
Exploring Operation: 45-41=4, Resulting Numbers: [59, 52, 4]
Generated Node #2: [59, 52, 4] from Operation: 45-41=4
Current State: 46:[59, 52, 4], Operations: ['45-41=4']
Exploring Operation: 52/4=13, Resulting Numbers: [59, 13]
Generated Node #3: [59, 13] from Operation: 52/4=13
Current State: 46:[59, 13], Operations: ['45-41=4', '52/4=13']
Exploring Operation: 59-13=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4
|
Current State: 46:[41, 45, 59, 52], Operations: []
Exploring Operation: 45-41=4, Resulting Numbers: [59, 52, 4]
Generated Node #0,0: 46:[59, 52, 4] Operation: 45-41=4
Exploring Operation: 59-45=14, Resulting Numbers: [41, 52, 14]
Generated Node #0,1: 46:[41, 52, 14] Operation: 59-45=14
Exploring Operation: 52-41=11, Resulting Numbers: [45, 59, 11]
Generated Node #0,2: 46:[45, 59, 11] Operation: 52-41=11
Exploring Operation: 59-41=18, Resulting Numbers: [45, 52, 18]
Generated Node #0,3: 46:[45, 52, 18] Operation: 59-41=18
Exploring Operation: 59-52=7, Resulting Numbers: [41, 45, 7]
Generated Node #0,4: 46:[41, 45, 7] Operation: 59-52=7
Start Sub Search at level 1: Moving to Node #0,4
Current State: 46:[41, 45, 7], Operations: ['59-52=7']
Exploring Operation: 45+7=52, Resulting Numbers: [41, 52]
Generated Node #0,4,0: 46:[41, 52] Operation: 45+7=52
Exploring Operation: 41+7=48, Resulting Numbers: [45, 48]
Generated Node #0,4,1: 46:[45, 48] Operation: 41+7=48
Exploring Operation: 41-7=34, Resulting Numbers: [45, 34]
Generated Node #0,4,2: 46:[45, 34] Operation: 41-7=34
Exploring Operation: 45-7=38, Resulting Numbers: [41, 38]
Generated Node #0,4,3: 46:[41, 38] Operation: 45-7=38
Exploring Operation: 45-41=4, Resulting Numbers: [7, 4]
Generated Node #0,4,4: 46:[7, 4] Operation: 45-41=4
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 46:[45, 48], Operations: ['59-52=7', '41+7=48']
Exploring Operation: 45+48=93, Resulting Numbers: [93]
93,46 unequal: No Solution
Exploring Operation: 48-45=3, Resulting Numbers: [3]
3,46 unequal: No Solution
Exploring Operation: 45*48=2160, Resulting Numbers: [2160]
2160,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 46:[7, 4], Operations: ['59-52=7', '45-41=4']
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,46 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,46 unequal: No Solution
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 46:[41, 52], Operations: ['59-52=7', '45+7=52']
Exploring Operation: 41+52=93, Resulting Numbers: [93]
93,46 unequal: No Solution
Exploring Operation: 41*52=2132, Resulting Numbers: [2132]
2132,46 unequal: No Solution
Exploring Operation: 52-41=11, Resulting Numbers: [11]
11,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 46:[45, 34], Operations: ['59-52=7', '41-7=34']
Exploring Operation: 45+34=79, Resulting Numbers: [79]
79,46 unequal: No Solution
Exploring Operation: 45*34=1530, Resulting Numbers: [1530]
1530,46 unequal: No Solution
Exploring Operation: 45-34=11, Resulting Numbers: [11]
11,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 46:[41, 38], Operations: ['59-52=7', '45-7=38']
Exploring Operation: 41-38=3, Resulting Numbers: [3]
3,46 unequal: No Solution
Exploring Operation: 41+38=79, Resulting Numbers: [79]
79,46 unequal: No Solution
Exploring Operation: 41*38=1558, Resulting Numbers: [1558]
1558,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 46:[45, 52, 18], Operations: ['59-41=18']
Exploring Operation: 52-18=34, Resulting Numbers: [45, 34]
Generated Node #0,3,0: 46:[45, 34] Operation: 52-18=34
Exploring Operation: 45-18=27, Resulting Numbers: [52, 27]
Generated Node #0,3,1: 46:[52, 27] Operation: 45-18=27
Exploring Operation: 45+18=63, Resulting Numbers: [52, 63]
Generated Node #0,3,2: 46:[52, 63] Operation: 45+18=63
Exploring Operation: 52+18=70, Resulting Numbers: [45, 70]
Generated Node #0,3,3: 46:[45, 70] Operation: 52+18=70
Exploring Operation: 52-45=7, Resulting Numbers: [18, 7]
Generated Node #0,3,4: 46:[18, 7] Operation: 52-45=7
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 46:[52, 27], Operations: ['59-41=18', '45-18=27']
Exploring Operation: 52*27=1404, Resulting Numbers: [1404]
1404,46 unequal: No Solution
Exploring Operation: 52+27=79, Resulting Numbers: [79]
79,46 unequal: No Solution
Exploring Operation: 52-27=25, Resulting Numbers: [25]
25,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 46:[18, 7], Operations: ['59-41=18', '52-45=7']
Exploring Operation: 18+7=25, Resulting Numbers: [25]
25,46 unequal: No Solution
Exploring Operation: 18*7=126, Resulting Numbers: [126]
126,46 unequal: No Solution
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 46:[45, 34], Operations: ['59-41=18', '52-18=34']
Exploring Operation: 45+34=79, Resulting Numbers: [79]
79,46 unequal: No Solution
Exploring Operation: 45*34=1530, Resulting Numbers: [1530]
1530,46 unequal: No Solution
Exploring Operation: 45-34=11, Resulting Numbers: [11]
11,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 46:[52, 63], Operations: ['59-41=18', '45+18=63']
Exploring Operation: 52+63=115, Resulting Numbers: [115]
115,46 unequal: No Solution
Exploring Operation: 63-52=11, Resulting Numbers: [11]
11,46 unequal: No Solution
Exploring Operation: 52*63=3276, Resulting Numbers: [3276]
3276,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 46:[45, 70], Operations: ['59-41=18', '52+18=70']
Exploring Operation: 70-45=25, Resulting Numbers: [25]
25,46 unequal: No Solution
Exploring Operation: 45+70=115, Resulting Numbers: [115]
115,46 unequal: No Solution
Exploring Operation: 45*70=3150, Resulting Numbers: [3150]
3150,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 46:[41, 52, 14], Operations: ['59-45=14']
Exploring Operation: 41+14=55, Resulting Numbers: [52, 55]
Generated Node #0,1,0: 46:[52, 55] Operation: 41+14=55
Exploring Operation: 52-41=11, Resulting Numbers: [14, 11]
Generated Node #0,1,1: 46:[14, 11] Operation: 52-41=11
Exploring Operation: 52+14=66, Resulting Numbers: [41, 66]
Generated Node #0,1,2: 46:[41, 66] Operation: 52+14=66
Exploring Operation: 41-14=27, Resulting Numbers: [52, 27]
Generated Node #0,1,3: 46:[52, 27] Operation: 41-14=27
Exploring Operation: 52-14=38, Resulting Numbers: [41, 38]
Generated Node #0,1,4: 46:[41, 38] Operation: 52-14=38
Moving to Node #0,1,3
Current State: 46:[52, 27], Operations: ['59-45=14', '41-14=27']
Exploring Operation: 52-27=25, Resulting Numbers: [25]
25,46 unequal: No Solution
Exploring Operation: 52*27=1404, Resulting Numbers: [1404]
1404,46 unequal: No Solution
Exploring Operation: 52+27=79, Resulting Numbers: [79]
79,46 unequal: No Solution
Moving to Node #0,1,4
Current State: 46:[41, 38], Operations: ['59-45=14', '52-14=38']
Exploring Operation: 41*38=1558, Resulting Numbers: [1558]
1558,46 unequal: No Solution
Exploring Operation: 41+38=79, Resulting Numbers: [79]
79,46 unequal: No Solution
Exploring Operation: 41-38=3, Resulting Numbers: [3]
3,46 unequal: No Solution
Moving to Node #0,1,0
Current State: 46:[52, 55], Operations: ['59-45=14', '41+14=55']
Exploring Operation: 55-52=3, Resulting Numbers: [3]
3,46 unequal: No Solution
Exploring Operation: 52*55=2860, Resulting Numbers: [2860]
2860,46 unequal: No Solution
Exploring Operation: 52+55=107, Resulting Numbers: [107]
107,46 unequal: No Solution
Moving to Node #0,1,1
Current State: 46:[14, 11], Operations: ['59-45=14', '52-41=11']
Exploring Operation: 14+11=25, Resulting Numbers: [25]
25,46 unequal: No Solution
Exploring Operation: 14*11=154, Resulting Numbers: [154]
154,46 unequal: No Solution
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,46 unequal: No Solution
Moving to Node #0,1,2
Current State: 46:[41, 66], Operations: ['59-45=14', '52+14=66']
Exploring Operation: 41*66=2706, Resulting Numbers: [2706]
2706,46 unequal: No Solution
Exploring Operation: 41+66=107, Resulting Numbers: [107]
107,46 unequal: No Solution
Exploring Operation: 66-41=25, Resulting Numbers: [25]
25,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[59, 52, 4], Operations: ['45-41=4']
Exploring Operation: 59-4=55, Resulting Numbers: [52, 55]
Generated Node #0,0,0: 46:[52, 55] Operation: 59-4=55
Exploring Operation: 52+4=56, Resulting Numbers: [59, 56]
Generated Node #0,0,1: 46:[59, 56] Operation: 52+4=56
Exploring Operation: 59-52=7, Resulting Numbers: [4, 7]
Generated Node #0,0,2: 46:[4, 7] Operation: 59-52=7
Exploring Operation: 59+4=63, Resulting Numbers: [52, 63]
Generated Node #0,0,3: 46:[52, 63] Operation: 59+4=63
Exploring Operation: 52-4=48, Resulting Numbers: [59, 48]
Generated Node #0,0,4: 46:[59, 48] Operation: 52-4=48
Moving to Node #0,0,2
Current State: 46:[4, 7], Operations: ['45-41=4', '59-52=7']
Exploring Operation: 4+7=11, Resulting Numbers: [11]
11,46 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,46 unequal: No Solution
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,46 unequal: No Solution
Moving to Node #0,0,4
Current State: 46:[59, 48], Operations: ['45-41=4', '52-4=48']
Exploring Operation: 59+48=107, Resulting Numbers: [107]
107,46 unequal: No Solution
Exploring Operation: 59-48=11, Resulting Numbers: [11]
11,46 unequal: No Solution
Exploring Operation: 59*48=2832, Resulting Numbers: [2832]
2832,46 unequal: No Solution
Moving to Node #0,0,0
Current State: 46:[52, 55], Operations: ['45-41=4', '59-4=55']
Exploring Operation: 52*55=2860, Resulting Numbers: [2860]
2860,46 unequal: No Solution
Exploring Operation: 52+55=107, Resulting Numbers: [107]
107,46 unequal: No Solution
Exploring Operation: 55-52=3, Resulting Numbers: [3]
3,46 unequal: No Solution
Moving to Node #0,0,1
Current State: 46:[59, 56], Operations: ['45-41=4', '52+4=56']
Exploring Operation: 59-56=3, Resulting Numbers: [3]
3,46 unequal: No Solution
Exploring Operation: 59*56=3304, Resulting Numbers: [3304]
3304,46 unequal: No Solution
Exploring Operation: 59+56=115, Resulting Numbers: [115]
115,46 unequal: No Solution
Moving to Node #0,0,3
Current State: 46:[52, 63], Operations: ['45-41=4', '59+4=63']
Exploring Operation: 63-52=11, Resulting Numbers: [11]
11,46 unequal: No Solution
Exploring Operation: 52+63=115, Resulting Numbers: [115]
115,46 unequal: No Solution
Exploring Operation: 52*63=3276, Resulting Numbers: [3276]
3276,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 46:[45, 59, 11], Operations: ['52-41=11']
Exploring Operation: 59-11=48, Resulting Numbers: [45, 48]
Generated Node #0,2,0: 46:[45, 48] Operation: 59-11=48
Exploring Operation: 45+11=56, Resulting Numbers: [59, 56]
Generated Node #0,2,1: 46:[59, 56] Operation: 45+11=56
Exploring Operation: 45-11=34, Resulting Numbers: [59, 34]
Generated Node #0,2,2: 46:[59, 34] Operation: 45-11=34
Exploring Operation: 59-45=14, Resulting Numbers: [11, 14]
Generated Node #0,2,3: 46:[11, 14] Operation: 59-45=14
Exploring Operation: 59+11=70, Resulting Numbers: [45, 70]
Generated Node #0,2,4: 46:[45, 70] Operation: 59+11=70
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 46:[45, 48], Operations: ['52-41=11', '59-11=48']
Exploring Operation: 48-45=3, Resulting Numbers: [3]
3,46 unequal: No Solution
Exploring Operation: 45+48=93, Resulting Numbers: [93]
93,46 unequal: No Solution
Exploring Operation: 45*48=2160, Resulting Numbers: [2160]
2160,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 46:[11, 14], Operations: ['52-41=11', '59-45=14']
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,46 unequal: No Solution
Exploring Operation: 11*14=154, Resulting Numbers: [154]
154,46 unequal: No Solution
Exploring Operation: 11+14=25, Resulting Numbers: [25]
25,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 46:[59, 56], Operations: ['52-41=11', '45+11=56']
Exploring Operation: 59+56=115, Resulting Numbers: [115]
115,46 unequal: No Solution
Exploring Operation: 59-56=3, Resulting Numbers: [3]
3,46 unequal: No Solution
Exploring Operation: 59*56=3304, Resulting Numbers: [3304]
3304,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 46:[59, 34], Operations: ['52-41=11', '45-11=34']
Exploring Operation: 59*34=2006, Resulting Numbers: [2006]
2006,46 unequal: No Solution
Exploring Operation: 59+34=93, Resulting Numbers: [93]
93,46 unequal: No Solution
Exploring Operation: 59-34=25, Resulting Numbers: [25]
25,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 46:[45, 70], Operations: ['52-41=11', '59+11=70']
Exploring Operation: 45*70=3150, Resulting Numbers: [3150]
3150,46 unequal: No Solution
Exploring Operation: 70-45=25, Resulting Numbers: [25]
25,46 unequal: No Solution
Exploring Operation: 45+70=115, Resulting Numbers: [115]
115,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_5
|
sum_heuristic
|
[
47,
43,
15,
85
] | 20
|
[
"47+43=90",
"85-15=70",
"90-70=20"
] |
Current State: 20:[47, 43, 15, 85], Operations: []
Exploring Operation: 47+43=90, Resulting Numbers: [15, 85, 90]
Generated Node #2: [15, 85, 90] from Operation: 47+43=90
Current State: 20:[15, 85, 90], Operations: ['47+43=90']
Exploring Operation: 85-15=70, Resulting Numbers: [90, 70]
Generated Node #3: [90, 70] from Operation: 85-15=70
Current State: 20:[90, 70], Operations: ['47+43=90', '85-15=70']
Exploring Operation: 90-70=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4
|
Current State: 20:[47, 43, 15, 85], Operations: []
Exploring Operation: 85-43=42, Resulting Numbers: [47, 15, 42]
Generated Node #0,0: 20:[47, 15, 42] Operation: 85-43=42
Exploring Operation: 85-47=38, Resulting Numbers: [43, 15, 38]
Generated Node #0,1: 20:[43, 15, 38] Operation: 85-47=38
Moving to Node #0,1
Current State: 20:[43, 15, 38], Operations: ['85-47=38']
Exploring Operation: 43-38=5, Resulting Numbers: [15, 5]
Generated Node #0,1,0: 20:[15, 5] Operation: 43-38=5
Exploring Operation: 43-15=28, Resulting Numbers: [38, 28]
Generated Node #0,1,1: 20:[38, 28] Operation: 43-15=28
Moving to Node #0,0
Current State: 20:[47, 15, 42], Operations: ['85-43=42']
Exploring Operation: 47-15=32, Resulting Numbers: [42, 32]
Generated Node #0,0,0: 20:[42, 32] Operation: 47-15=32
Exploring Operation: 47-42=5, Resulting Numbers: [15, 5]
Generated Node #0,0,1: 20:[15, 5] Operation: 47-42=5
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 20:[15, 5], Operations: ['85-43=42', '47-42=5']
Exploring Operation: 15+5=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[47, 43, 15, 85], Operations: []
Exploring Operation: 85-43=42, Resulting Numbers: [47, 15, 42]
Generated Node #0,0: 20:[47, 15, 42] Operation: 85-43=42
Moving to Node #0,0
Current State: 20:[47, 15, 42], Operations: ['85-43=42']
Exploring Operation: 47-42=5, Resulting Numbers: [15, 5]
Generated Node #0,0,1: 20:[15, 5] Operation: 47-42=5
Moving to Node #0,0,1
Current State: 20:[15, 5], Operations: ['85-43=42', '47-42=5']
Exploring Operation: 15+5=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451
|
hs_2
|
mult_heuristic
|
[
99,
72,
82,
81
] | 78
|
[
"99-81=18",
"72/18=4",
"82-4=78"
] |
Current State: 78:[99, 72, 82, 81], Operations: []
Exploring Operation: 99-81=18, Resulting Numbers: [72, 82, 18]
Generated Node #2: [72, 82, 18] from Operation: 99-81=18
Current State: 78:[72, 82, 18], Operations: ['99-81=18']
Exploring Operation: 72/18=4, Resulting Numbers: [82, 4]
Generated Node #3: [82, 4] from Operation: 72/18=4
Current State: 78:[82, 4], Operations: ['99-81=18', '72/18=4']
Exploring Operation: 82-4=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4
|
Current State: 78:[99, 72, 82, 81], Operations: []
Exploring Operation: 99-72=27, Resulting Numbers: [82, 81, 27]
Generated Node #0,0: 78:[82, 81, 27] Operation: 99-72=27
Exploring Operation: 99-82=17, Resulting Numbers: [72, 81, 17]
Generated Node #0,1: 78:[72, 81, 17] Operation: 99-82=17
Exploring Operation: 99-81=18, Resulting Numbers: [72, 82, 18]
Generated Node #0,2: 78:[72, 82, 18] Operation: 99-81=18
Moving to Node #0,0
Current State: 78:[82, 81, 27], Operations: ['99-72=27']
Exploring Operation: 81/27=3, Resulting Numbers: [82, 3]
Generated Node #0,0,0: 78:[82, 3] Operation: 81/27=3
Exploring Operation: 82-27=55, Resulting Numbers: [81, 55]
Generated Node #0,0,1: 78:[81, 55] Operation: 82-27=55
Exploring Operation: 82-81=1, Resulting Numbers: [27, 1]
Generated Node #0,0,2: 78:[27, 1] Operation: 82-81=1
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 78:[27, 1], Operations: ['99-72=27', '82-81=1']
Exploring Operation: 27*1=27, Resulting Numbers: [27]
27,78 unequal: No Solution
Exploring Operation: 27/1=27, Resulting Numbers: [27]
27,78 unequal: No Solution
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 78:[82, 3], Operations: ['99-72=27', '81/27=3']
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,78 unequal: No Solution
Exploring Operation: 82*3=246, Resulting Numbers: [246]
246,78 unequal: No Solution
Exploring Operation: 82+3=85, Resulting Numbers: [85]
85,78 unequal: No Solution
No 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: 78:[81, 55], Operations: ['99-72=27', '82-27=55']
Exploring Operation: 81+55=136, Resulting Numbers: [136]
136,78 unequal: No Solution
Exploring Operation: 81-55=26, Resulting Numbers: [26]
26,78 unequal: No Solution
Exploring Operation: 81*55=4455, Resulting Numbers: [4455]
4455,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 78:[72, 81, 17], Operations: ['99-82=17']
Exploring Operation: 72-17=55, Resulting Numbers: [81, 55]
Generated Node #0,1,0: 78:[81, 55] Operation: 72-17=55
Exploring Operation: 81-72=9, Resulting Numbers: [17, 9]
Generated Node #0,1,1: 78:[17, 9] Operation: 81-72=9
Exploring Operation: 72+17=89, Resulting Numbers: [81, 89]
Generated Node #0,1,2: 78:[81, 89] Operation: 72+17=89
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 78:[17, 9], Operations: ['99-82=17', '81-72=9']
Exploring Operation: 17*9=153, Resulting Numbers: [153]
153,78 unequal: No Solution
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,78 unequal: No Solution
Exploring Operation: 17+9=26, Resulting Numbers: [26]
26,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 78:[81, 89], Operations: ['99-82=17', '72+17=89']
Exploring Operation: 81*89=7209, Resulting Numbers: [7209]
7209,78 unequal: No Solution
Exploring Operation: 89-81=8, Resulting Numbers: [8]
8,78 unequal: No Solution
Exploring Operation: 81+89=170, Resulting Numbers: [170]
170,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 78:[81, 55], Operations: ['99-82=17', '72-17=55']
Exploring Operation: 81+55=136, Resulting Numbers: [136]
136,78 unequal: No Solution
Exploring Operation: 81*55=4455, Resulting Numbers: [4455]
4455,78 unequal: No Solution
Exploring Operation: 81-55=26, Resulting Numbers: [26]
26,78 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: 78:[72, 82, 18], Operations: ['99-81=18']
Exploring Operation: 82-72=10, Resulting Numbers: [18, 10]
Generated Node #0,2,0: 78:[18, 10] Operation: 82-72=10
Exploring Operation: 72+18=90, Resulting Numbers: [82, 90]
Generated Node #0,2,1: 78:[82, 90] Operation: 72+18=90
Exploring Operation: 72/18=4, Resulting Numbers: [82, 4]
Generated Node #0,2,2: 78:[82, 4] Operation: 72/18=4
Moving to Node #0,2,2
Current State: 78:[82, 4], Operations: ['99-81=18', '72/18=4']
Exploring Operation: 82+4=86, Resulting Numbers: [86]
86,78 unequal: No Solution
Exploring Operation: 82-4=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[99, 72, 82, 81], Operations: []
Exploring Operation: 99-81=18, Resulting Numbers: [72, 82, 18]
Generated Node #0,2: 78:[72, 82, 18] Operation: 99-81=18
Moving to Node #0,2
Current State: 78:[72, 82, 18], Operations: ['99-81=18']
Exploring Operation: 72/18=4, Resulting Numbers: [82, 4]
Generated Node #0,2,2: 78:[82, 4] Operation: 72/18=4
Moving to Node #0,2,2
Current State: 78:[82, 4], Operations: ['99-81=18', '72/18=4']
Exploring Operation: 82-4=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 0.96875
|
hs_3
|
mult_heuristic
|
[
57,
78,
72,
73
] | 75
|
[
"72-57=15",
"78-73=5",
"15*5=75"
] |
Current State: 75:[57, 78, 72, 73], Operations: []
Exploring Operation: 72-57=15, Resulting Numbers: [78, 73, 15]
Generated Node #2: [78, 73, 15] from Operation: 72-57=15
Current State: 75:[78, 73, 15], Operations: ['72-57=15']
Exploring Operation: 78-73=5, Resulting Numbers: [15, 5]
Generated Node #3: [15, 5] from Operation: 78-73=5
Current State: 75:[15, 5], Operations: ['72-57=15', '78-73=5']
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4
|
Current State: 75:[57, 78, 72, 73], Operations: []
Exploring Operation: 72-57=15, Resulting Numbers: [78, 73, 15]
Generated Node #0,0: 75:[78, 73, 15] Operation: 72-57=15
Exploring Operation: 73-57=16, Resulting Numbers: [78, 72, 16]
Generated Node #0,1: 75:[78, 72, 16] Operation: 73-57=16
Moving to Node #0,0
Current State: 75:[78, 73, 15], Operations: ['72-57=15']
Exploring Operation: 78-73=5, Resulting Numbers: [15, 5]
Generated Node #0,0,0: 75:[15, 5] Operation: 78-73=5
Exploring Operation: 78-15=63, Resulting Numbers: [73, 63]
Generated Node #0,0,1: 75:[73, 63] Operation: 78-15=63
Moving to Node #0,1
Current State: 75:[78, 72, 16], Operations: ['73-57=16']
Exploring Operation: 78-16=62, Resulting Numbers: [72, 62]
Generated Node #0,1,0: 75:[72, 62] Operation: 78-16=62
Exploring Operation: 78-72=6, Resulting Numbers: [16, 6]
Generated Node #0,1,1: 75:[16, 6] Operation: 78-72=6
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 75:[16, 6], Operations: ['73-57=16', '78-72=6']
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,75 unequal: No Solution
Exploring Operation: 16+6=22, Resulting Numbers: [22]
22,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 75:[72, 62], Operations: ['73-57=16', '78-16=62']
Exploring Operation: 72-62=10, Resulting Numbers: [10]
10,75 unequal: No Solution
Exploring Operation: 72+62=134, Resulting Numbers: [134]
134,75 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: 75:[15, 5], Operations: ['72-57=15', '78-73=5']
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[57, 78, 72, 73], Operations: []
Exploring Operation: 72-57=15, Resulting Numbers: [78, 73, 15]
Generated Node #0,0: 75:[78, 73, 15] Operation: 72-57=15
Moving to Node #0,0
Current State: 75:[78, 73, 15], Operations: ['72-57=15']
Exploring Operation: 78-73=5, Resulting Numbers: [15, 5]
Generated Node #0,0,0: 75:[15, 5] Operation: 78-73=5
Moving to Node #0,0,0
Current State: 75:[15, 5], Operations: ['72-57=15', '78-73=5']
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 0.986979
|
hs_2
|
sum_heuristic
|
[
32,
5,
73,
19
] | 65
|
[
"32-5=27",
"73+19=92",
"92-27=65"
] |
Current State: 65:[32, 5, 73, 19], Operations: []
Exploring Operation: 32-5=27, Resulting Numbers: [73, 19, 27]
Generated Node #2: [73, 19, 27] from Operation: 32-5=27
Current State: 65:[73, 19, 27], Operations: ['32-5=27']
Exploring Operation: 73+19=92, Resulting Numbers: [27, 92]
Generated Node #3: [27, 92] from Operation: 73+19=92
Current State: 65:[27, 92], Operations: ['32-5=27', '73+19=92']
Exploring Operation: 92-27=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4
|
Current State: 65:[32, 5, 73, 19], Operations: []
Exploring Operation: 32-19=13, Resulting Numbers: [5, 73, 13]
Generated Node #0,0: 65:[5, 73, 13] Operation: 32-19=13
Exploring Operation: 32+19=51, Resulting Numbers: [5, 73, 51]
Generated Node #0,1: 65:[5, 73, 51] Operation: 32+19=51
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[5, 73, 13], Operations: ['32-19=13']
Exploring Operation: 73-5=68, Resulting Numbers: [13, 68]
Generated Node #0,0,0: 65:[13, 68] Operation: 73-5=68
Exploring Operation: 73-13=60, Resulting Numbers: [5, 60]
Generated Node #0,0,1: 65:[5, 60] Operation: 73-13=60
Moving to Node #0,0,0
Current State: 65:[13, 68], Operations: ['32-19=13', '73-5=68']
Exploring Operation: 68-13=55, Resulting Numbers: [55]
55,65 unequal: No Solution
Exploring Operation: 13+68=81, Resulting Numbers: [81]
81,65 unequal: No Solution
Moving to Node #0,0,1
Current State: 65:[5, 60], Operations: ['32-19=13', '73-13=60']
Exploring Operation: 5+60=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[32, 5, 73, 19], Operations: []
Exploring Operation: 32-19=13, Resulting Numbers: [5, 73, 13]
Generated Node #0,0: 65:[5, 73, 13] Operation: 32-19=13
Moving to Node #0,0
Current State: 65:[5, 73, 13], Operations: ['32-19=13']
Exploring Operation: 73-13=60, Resulting Numbers: [5, 60]
Generated Node #0,0,1: 65:[5, 60] Operation: 73-13=60
Moving to Node #0,0,1
Current State: 65:[5, 60], Operations: ['32-19=13', '73-13=60']
Exploring Operation: 5+60=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451
|
hs_2
|
sum_heuristic
|
[
12,
19,
76,
9
] | 48
|
[
"76/19=4",
"9*4=36",
"12+36=48"
] |
Current State: 48:[12, 19, 76, 9], Operations: []
Exploring Operation: 76/19=4, Resulting Numbers: [12, 9, 4]
Generated Node #2: [12, 9, 4] from Operation: 76/19=4
Current State: 48:[12, 9, 4], Operations: ['76/19=4']
Exploring Operation: 9*4=36, Resulting Numbers: [12, 36]
Generated Node #3: [12, 36] from Operation: 9*4=36
Current State: 48:[12, 36], Operations: ['76/19=4', '9*4=36']
Exploring Operation: 12+36=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4
|
Current State: 48:[12, 19, 76, 9], Operations: []
Exploring Operation: 76-19=57, Resulting Numbers: [12, 9, 57]
Generated Node #0,0: 48:[12, 9, 57] Operation: 76-19=57
Exploring Operation: 76/19=4, Resulting Numbers: [12, 9, 4]
Generated Node #0,1: 48:[12, 9, 4] Operation: 76/19=4
Moving to Node #0,1
Current State: 48:[12, 9, 4], Operations: ['76/19=4']
Exploring Operation: 12+4=16, Resulting Numbers: [9, 16]
Generated Node #0,1,0: 48:[9, 16] Operation: 12+4=16
Exploring Operation: 12-9=3, Resulting Numbers: [4, 3]
Generated Node #0,1,1: 48:[4, 3] Operation: 12-9=3
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 48:[4, 3], Operations: ['76/19=4', '12-9=3']
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,48 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 48:[9, 16], Operations: ['76/19=4', '12+4=16']
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,48 unequal: No Solution
Exploring Operation: 9+16=25, Resulting Numbers: [25]
25,48 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: 48:[12, 9, 57], Operations: ['76-19=57']
Exploring Operation: 57-12=45, Resulting Numbers: [9, 45]
Generated Node #0,0,0: 48:[9, 45] Operation: 57-12=45
Exploring Operation: 57-9=48, Resulting Numbers: [12, 48]
Generated Node #0,0,1: 48:[12, 48] Operation: 57-9=48
Moving to Node #0,0,1
Current State: 48:[12, 48], Operations: ['76-19=57', '57-9=48']
Exploring Operation: 48/12=4, Resulting Numbers: [4]
4,48 unequal: No Solution
Exploring Operation: 12+48=60, Resulting Numbers: [60]
60,48 unequal: No Solution
Moving to Node #0,0,0
Current State: 48:[9, 45], Operations: ['76-19=57', '57-12=45']
Exploring Operation: 9+45=54, Resulting Numbers: [54]
54,48 unequal: No Solution
Exploring Operation: 45/9=5, Resulting Numbers: [5]
5,48 unequal: No Solution
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
91,
81,
54,
9
] | 94
|
[
"81-54=27",
"27/9=3",
"91+3=94"
] |
Current State: 94:[91, 81, 54, 9], Operations: []
Exploring Operation: 81-54=27, Resulting Numbers: [91, 9, 27]
Generated Node #2: [91, 9, 27] from Operation: 81-54=27
Current State: 94:[91, 9, 27], Operations: ['81-54=27']
Exploring Operation: 27/9=3, Resulting Numbers: [91, 3]
Generated Node #3: [91, 3] from Operation: 27/9=3
Current State: 94:[91, 3], Operations: ['81-54=27', '27/9=3']
Exploring Operation: 91+3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4
|
Current State: 94:[91, 81, 54, 9], Operations: []
Exploring Operation: 91-81=10, Resulting Numbers: [54, 9, 10]
Generated Node #0,0: 94:[54, 9, 10] Operation: 91-81=10
Exploring Operation: 81+9=90, Resulting Numbers: [91, 54, 90]
Generated Node #0,1: 94:[91, 54, 90] Operation: 81+9=90
Exploring Operation: 54/9=6, Resulting Numbers: [91, 81, 6]
Generated Node #0,2: 94:[91, 81, 6] Operation: 54/9=6
Exploring Operation: 54-9=45, Resulting Numbers: [91, 81, 45]
Generated Node #0,3: 94:[91, 81, 45] Operation: 54-9=45
Exploring Operation: 81/9=9, Resulting Numbers: [91, 54, 9]
Generated Node #0,4: 94:[91, 54, 9] Operation: 81/9=9
Moving to Node #0,1
Current State: 94:[91, 54, 90], Operations: ['81+9=90']
Exploring Operation: 54+90=144, Resulting Numbers: [91, 144]
Generated Node #0,1,0: 94:[91, 144] Operation: 54+90=144
Exploring Operation: 91-54=37, Resulting Numbers: [90, 37]
Generated Node #0,1,1: 94:[90, 37] Operation: 91-54=37
Exploring Operation: 90-54=36, Resulting Numbers: [91, 36]
Generated Node #0,1,2: 94:[91, 36] Operation: 90-54=36
Exploring Operation: 91-90=1, Resulting Numbers: [54, 1]
Generated Node #0,1,3: 94:[54, 1] Operation: 91-90=1
Exploring Operation: 91+54=145, Resulting Numbers: [90, 145]
Generated Node #0,1,4: 94:[90, 145] Operation: 91+54=145
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 94:[54, 1], Operations: ['81+9=90', '91-90=1']
Exploring Operation: 54+1=55, Resulting Numbers: [55]
55,94 unequal: No Solution
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,94 unequal: No Solution
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,94 unequal: No Solution
Exploring Operation: 54*1=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 #0,1,1
Current State: 94:[90, 37], Operations: ['81+9=90', '91-54=37']
Exploring Operation: 90-37=53, Resulting Numbers: [53]
53,94 unequal: No Solution
Exploring Operation: 90*37=3330, Resulting Numbers: [3330]
3330,94 unequal: No Solution
Exploring Operation: 90+37=127, Resulting Numbers: [127]
127,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 94:[91, 36], Operations: ['81+9=90', '90-54=36']
Exploring Operation: 91+36=127, Resulting Numbers: [127]
127,94 unequal: No Solution
Exploring Operation: 91-36=55, Resulting Numbers: [55]
55,94 unequal: No Solution
Exploring Operation: 91*36=3276, Resulting Numbers: [3276]
3276,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 94:[91, 144], Operations: ['81+9=90', '54+90=144']
Exploring Operation: 144-91=53, Resulting Numbers: [53]
53,94 unequal: No Solution
Exploring Operation: 91*144=13104, Resulting Numbers: [13104]
13104,94 unequal: No Solution
Exploring Operation: 91+144=235, Resulting Numbers: [235]
235,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 94:[90, 145], Operations: ['81+9=90', '91+54=145']
Exploring Operation: 90*145=13050, Resulting Numbers: [13050]
13050,94 unequal: No Solution
Exploring Operation: 145-90=55, Resulting Numbers: [55]
55,94 unequal: No Solution
Exploring Operation: 90+145=235, Resulting Numbers: [235]
235,94 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: 94:[91, 54, 9], Operations: ['81/9=9']
Exploring Operation: 54-9=45, Resulting Numbers: [91, 45]
Generated Node #0,4,0: 94:[91, 45] Operation: 54-9=45
Exploring Operation: 91+9=100, Resulting Numbers: [54, 100]
Generated Node #0,4,1: 94:[54, 100] Operation: 91+9=100
Exploring Operation: 91-9=82, Resulting Numbers: [54, 82]
Generated Node #0,4,2: 94:[54, 82] Operation: 91-9=82
Exploring Operation: 91-54=37, Resulting Numbers: [9, 37]
Generated Node #0,4,3: 94:[9, 37] Operation: 91-54=37
Exploring Operation: 54/9=6, Resulting Numbers: [91, 6]
Generated Node #0,4,4: 94:[91, 6] Operation: 54/9=6
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 94:[91, 45], Operations: ['81/9=9', '54-9=45']
Exploring Operation: 91-45=46, Resulting Numbers: [46]
46,94 unequal: No Solution
Exploring Operation: 91*45=4095, Resulting Numbers: [4095]
4095,94 unequal: No Solution
Exploring Operation: 91+45=136, Resulting Numbers: [136]
136,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 94:[91, 6], Operations: ['81/9=9', '54/9=6']
Exploring Operation: 91-6=85, Resulting Numbers: [85]
85,94 unequal: No Solution
Exploring Operation: 91+6=97, Resulting Numbers: [97]
97,94 unequal: No Solution
Exploring Operation: 91*6=546, Resulting Numbers: [546]
546,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 94:[54, 100], Operations: ['81/9=9', '91+9=100']
Exploring Operation: 54+100=154, Resulting Numbers: [154]
154,94 unequal: No Solution
Exploring Operation: 54*100=5400, Resulting Numbers: [5400]
5400,94 unequal: No Solution
Exploring Operation: 100-54=46, Resulting Numbers: [46]
46,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 94:[9, 37], Operations: ['81/9=9', '91-54=37']
Exploring Operation: 9+37=46, Resulting Numbers: [46]
46,94 unequal: No Solution
Exploring Operation: 9*37=333, Resulting Numbers: [333]
333,94 unequal: No Solution
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 94:[54, 82], Operations: ['81/9=9', '91-9=82']
Exploring Operation: 82-54=28, Resulting Numbers: [28]
28,94 unequal: No Solution
Exploring Operation: 54+82=136, Resulting Numbers: [136]
136,94 unequal: No Solution
Exploring Operation: 54*82=4428, Resulting Numbers: [4428]
4428,94 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: 94:[91, 81, 45], Operations: ['54-9=45']
Exploring Operation: 91+45=136, Resulting Numbers: [81, 136]
Generated Node #0,3,0: 94:[81, 136] Operation: 91+45=136
Exploring Operation: 81-45=36, Resulting Numbers: [91, 36]
Generated Node #0,3,1: 94:[91, 36] Operation: 81-45=36
Exploring Operation: 91-81=10, Resulting Numbers: [45, 10]
Generated Node #0,3,2: 94:[45, 10] Operation: 91-81=10
Exploring Operation: 91-45=46, Resulting Numbers: [81, 46]
Generated Node #0,3,3: 94:[81, 46] Operation: 91-45=46
Exploring Operation: 81+45=126, Resulting Numbers: [91, 126]
Generated Node #0,3,4: 94:[91, 126] Operation: 81+45=126
Moving to Node #0,2
Current State: 94:[91, 81, 6], Operations: ['54/9=6']
Exploring Operation: 91-81=10, Resulting Numbers: [6, 10]
Generated Node #0,2,0: 94:[6, 10] Operation: 91-81=10
Exploring Operation: 91+6=97, Resulting Numbers: [81, 97]
Generated Node #0,2,1: 94:[81, 97] Operation: 91+6=97
Exploring Operation: 81-6=75, Resulting Numbers: [91, 75]
Generated Node #0,2,2: 94:[91, 75] Operation: 81-6=75
Exploring Operation: 91-6=85, Resulting Numbers: [81, 85]
Generated Node #0,2,3: 94:[81, 85] Operation: 91-6=85
Exploring Operation: 81+6=87, Resulting Numbers: [91, 87]
Generated Node #0,2,4: 94:[91, 87] Operation: 81+6=87
Moving to Node #0,0
Current State: 94:[54, 9, 10], Operations: ['91-81=10']
Exploring Operation: 54/9=6, Resulting Numbers: [10, 6]
Generated Node #0,0,0: 94:[10, 6] Operation: 54/9=6
Exploring Operation: 10-9=1, Resulting Numbers: [54, 1]
Generated Node #0,0,1: 94:[54, 1] Operation: 10-9=1
Exploring Operation: 9*10=90, Resulting Numbers: [54, 90]
Generated Node #0,0,2: 94:[54, 90] Operation: 9*10=90
Exploring Operation: 54-9=45, Resulting Numbers: [10, 45]
Generated Node #0,0,3: 94:[10, 45] Operation: 54-9=45
Exploring Operation: 54-10=44, Resulting Numbers: [9, 44]
Generated Node #0,0,4: 94:[9, 44] Operation: 54-10=44
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 94:[54, 1], Operations: ['91-81=10', '10-9=1']
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,94 unequal: No Solution
Exploring Operation: 54+1=55, Resulting Numbers: [55]
55,94 unequal: No Solution
Exploring Operation: 54*1=54, Resulting Numbers: [54]
54,94 unequal: No Solution
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 94:[10, 45], Operations: ['91-81=10', '54-9=45']
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,94 unequal: No Solution
Exploring Operation: 10+45=55, Resulting Numbers: [55]
55,94 unequal: No Solution
Exploring Operation: 10*45=450, Resulting Numbers: [450]
450,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 94:[9, 44], Operations: ['91-81=10', '54-10=44']
Exploring Operation: 9*44=396, Resulting Numbers: [396]
396,94 unequal: No Solution
Exploring Operation: 9+44=53, Resulting Numbers: [53]
53,94 unequal: No Solution
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 94:[54, 90], Operations: ['91-81=10', '9*10=90']
Exploring Operation: 54+90=144, Resulting Numbers: [144]
144,94 unequal: No Solution
Exploring Operation: 54*90=4860, Resulting Numbers: [4860]
4860,94 unequal: No Solution
Exploring Operation: 90-54=36, Resulting Numbers: [36]
36,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 94:[10, 6], Operations: ['91-81=10', '54/9=6']
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,94 unequal: No Solution
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,94 unequal: No Solution
Exploring Operation: 10+6=16, Resulting Numbers: [16]
16,94 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: 94:[45, 10], Operations: ['54-9=45', '91-81=10']
Exploring Operation: 45*10=450, Resulting Numbers: [450]
450,94 unequal: No Solution
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,94 unequal: No Solution
Exploring Operation: 45+10=55, Resulting Numbers: [55]
55,94 unequal: No Solution
Moving to Node #0,2,4
Current State: 94:[91, 87], Operations: ['54/9=6', '81+6=87']
Exploring Operation: 91-87=4, Resulting Numbers: [4]
4,94 unequal: No Solution
Exploring Operation: 91+87=178, Resulting Numbers: [178]
178,94 unequal: No Solution
Exploring Operation: 91*87=7917, Resulting Numbers: [7917]
7917,94 unequal: No Solution
Moving to Node #0,2,0
Current State: 94:[6, 10], Operations: ['54/9=6', '91-81=10']
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,94 unequal: No Solution
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,94 unequal: No Solution
Exploring Operation: 6+10=16, Resulting Numbers: [16]
16,94 unequal: No Solution
Moving to Node #0,3,3
Current State: 94:[81, 46], Operations: ['54-9=45', '91-45=46']
Exploring Operation: 81+46=127, Resulting Numbers: [127]
127,94 unequal: No Solution
Exploring Operation: 81*46=3726, Resulting Numbers: [3726]
3726,94 unequal: No Solution
Exploring Operation: 81-46=35, Resulting Numbers: [35]
35,94 unequal: No Solution
Moving to Node #0,3,1
Current State: 94:[91, 36], Operations: ['54-9=45', '81-45=36']
Exploring Operation: 91-36=55, Resulting Numbers: [55]
55,94 unequal: No Solution
Exploring Operation: 91*36=3276, Resulting Numbers: [3276]
3276,94 unequal: No Solution
Exploring Operation: 91+36=127, Resulting Numbers: [127]
127,94 unequal: No Solution
Moving to Node #0,2,1
Current State: 94:[81, 97], Operations: ['54/9=6', '91+6=97']
Exploring Operation: 81*97=7857, Resulting Numbers: [7857]
7857,94 unequal: No Solution
Exploring Operation: 81+97=178, Resulting Numbers: [178]
178,94 unequal: No Solution
Exploring Operation: 97-81=16, Resulting Numbers: [16]
16,94 unequal: No Solution
Moving to Node #0,2,2
Current State: 94:[91, 75], Operations: ['54/9=6', '81-6=75']
Exploring Operation: 91+75=166, Resulting Numbers: [166]
166,94 unequal: No Solution
Exploring Operation: 91*75=6825, Resulting Numbers: [6825]
6825,94 unequal: No Solution
Exploring Operation: 91-75=16, Resulting Numbers: [16]
16,94 unequal: No Solution
Moving to Node #0,2,3
Current State: 94:[81, 85], Operations: ['54/9=6', '91-6=85']
Exploring Operation: 81+85=166, Resulting Numbers: [166]
166,94 unequal: No Solution
Exploring Operation: 85-81=4, Resulting Numbers: [4]
4,94 unequal: No Solution
Exploring Operation: 81*85=6885, Resulting Numbers: [6885]
6885,94 unequal: No Solution
Moving to Node #0,3,4
Current State: 94:[91, 126], Operations: ['54-9=45', '81+45=126']
Exploring Operation: 91*126=11466, Resulting Numbers: [11466]
11466,94 unequal: No Solution
Exploring Operation: 91+126=217, Resulting Numbers: [217]
217,94 unequal: No Solution
Exploring Operation: 126-91=35, Resulting Numbers: [35]
35,94 unequal: No Solution
Moving to Node #0,3,0
Current State: 94:[81, 136], Operations: ['54-9=45', '91+45=136']
Exploring Operation: 136-81=55, Resulting Numbers: [55]
55,94 unequal: No Solution
Exploring Operation: 81+136=217, Resulting Numbers: [217]
217,94 unequal: No Solution
Exploring Operation: 81*136=11016, Resulting Numbers: [11016]
11016,94 unequal: No Solution
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
70,
26,
39,
49
] | 19
|
[
"49-39=10",
"70/10=7",
"26-7=19"
] |
Current State: 19:[70, 26, 39, 49], Operations: []
Exploring Operation: 49-39=10, Resulting Numbers: [70, 26, 10]
Generated Node #2: [70, 26, 10] from Operation: 49-39=10
Current State: 19:[70, 26, 10], Operations: ['49-39=10']
Exploring Operation: 70/10=7, Resulting Numbers: [26, 7]
Generated Node #3: [26, 7] from Operation: 70/10=7
Current State: 19:[26, 7], Operations: ['49-39=10', '70/10=7']
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4
|
Current State: 19:[70, 26, 39, 49], Operations: []
Exploring Operation: 70-39=31, Resulting Numbers: [26, 49, 31]
Generated Node #0,0: 19:[26, 49, 31] Operation: 70-39=31
Exploring Operation: 70-49=21, Resulting Numbers: [26, 39, 21]
Generated Node #0,1: 19:[26, 39, 21] Operation: 70-49=21
Exploring Operation: 49-39=10, Resulting Numbers: [70, 26, 10]
Generated Node #0,2: 19:[70, 26, 10] Operation: 49-39=10
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[26, 39, 21], Operations: ['70-49=21']
Exploring Operation: 26-21=5, Resulting Numbers: [39, 5]
Generated Node #0,1,0: 19:[39, 5] Operation: 26-21=5
Exploring Operation: 39-21=18, Resulting Numbers: [26, 18]
Generated Node #0,1,1: 19:[26, 18] Operation: 39-21=18
Exploring Operation: 39-26=13, Resulting Numbers: [21, 13]
Generated Node #0,1,2: 19:[21, 13] Operation: 39-26=13
Moving to Node #0,1,1
Current State: 19:[26, 18], Operations: ['70-49=21', '39-21=18']
Exploring Operation: 26+18=44, Resulting Numbers: [44]
44,19 unequal: No Solution
Exploring Operation: 26*18=468, Resulting Numbers: [468]
468,19 unequal: No Solution
Exploring Operation: 26-18=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Moving to Node #0,1,2
Current State: 19:[21, 13], Operations: ['70-49=21', '39-26=13']
Exploring Operation: 21*13=273, Resulting Numbers: [273]
273,19 unequal: No Solution
Exploring Operation: 21+13=34, Resulting Numbers: [34]
34,19 unequal: No Solution
Exploring Operation: 21-13=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Moving to Node #0,1,0
Current State: 19:[39, 5], Operations: ['70-49=21', '26-21=5']
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,19 unequal: No Solution
Exploring Operation: 39+5=44, Resulting Numbers: [44]
44,19 unequal: No Solution
Exploring Operation: 39*5=195, Resulting Numbers: [195]
195,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[26, 49, 31], Operations: ['70-39=31']
Exploring Operation: 49-26=23, Resulting Numbers: [31, 23]
Generated Node #0,0,0: 19:[31, 23] Operation: 49-26=23
Exploring Operation: 31-26=5, Resulting Numbers: [49, 5]
Generated Node #0,0,1: 19:[49, 5] Operation: 31-26=5
Exploring Operation: 49-31=18, Resulting Numbers: [26, 18]
Generated Node #0,0,2: 19:[26, 18] Operation: 49-31=18
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 19:[26, 18], Operations: ['70-39=31', '49-31=18']
Exploring Operation: 26-18=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Exploring Operation: 26*18=468, Resulting Numbers: [468]
468,19 unequal: No Solution
Exploring Operation: 26+18=44, Resulting Numbers: [44]
44,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 19:[31, 23], Operations: ['70-39=31', '49-26=23']
Exploring Operation: 31*23=713, Resulting Numbers: [713]
713,19 unequal: No Solution
Exploring Operation: 31+23=54, Resulting Numbers: [54]
54,19 unequal: No Solution
Exploring Operation: 31-23=8, Resulting Numbers: [8]
8,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 19:[49, 5], Operations: ['70-39=31', '31-26=5']
Exploring Operation: 49*5=245, Resulting Numbers: [245]
245,19 unequal: No Solution
Exploring Operation: 49+5=54, Resulting Numbers: [54]
54,19 unequal: No Solution
Exploring Operation: 49-5=44, Resulting Numbers: [44]
44,19 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: 19:[70, 26, 10], Operations: ['49-39=10']
Exploring Operation: 70-26=44, Resulting Numbers: [10, 44]
Generated Node #0,2,0: 19:[10, 44] Operation: 70-26=44
Exploring Operation: 70/10=7, Resulting Numbers: [26, 7]
Generated Node #0,2,1: 19:[26, 7] Operation: 70/10=7
Exploring Operation: 70-10=60, Resulting Numbers: [26, 60]
Generated Node #0,2,2: 19:[26, 60] Operation: 70-10=60
Moving to Node #0,2,1
Current State: 19:[26, 7], Operations: ['49-39=10', '70/10=7']
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[70, 26, 39, 49], Operations: []
Exploring Operation: 49-39=10, Resulting Numbers: [70, 26, 10]
Generated Node #0,2: 19:[70, 26, 10] Operation: 49-39=10
Moving to Node #0,2
Current State: 19:[70, 26, 10], Operations: ['49-39=10']
Exploring Operation: 70/10=7, Resulting Numbers: [26, 7]
Generated Node #0,2,1: 19:[26, 7] Operation: 70/10=7
Moving to Node #0,2,1
Current State: 19:[26, 7], Operations: ['49-39=10', '70/10=7']
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618
|
hs_3
|
sum_heuristic
|
[
52,
89,
13,
51
] | 54
|
[
"89+13=102",
"102/51=2",
"52+2=54"
] |
Current State: 54:[52, 89, 13, 51], Operations: []
Exploring Operation: 89+13=102, Resulting Numbers: [52, 51, 102]
Generated Node #2: [52, 51, 102] from Operation: 89+13=102
Current State: 54:[52, 51, 102], Operations: ['89+13=102']
Exploring Operation: 102/51=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 102/51=2
Current State: 54:[52, 2], Operations: ['89+13=102', '102/51=2']
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4
|
Current State: 54:[52, 89, 13, 51], Operations: []
Exploring Operation: 89-52=37, Resulting Numbers: [13, 51, 37]
Generated Node #0,0: 54:[13, 51, 37] Operation: 89-52=37
Exploring Operation: 89-51=38, Resulting Numbers: [52, 13, 38]
Generated Node #0,1: 54:[52, 13, 38] Operation: 89-51=38
Exploring Operation: 89-13=76, Resulting Numbers: [52, 51, 76]
Generated Node #0,2: 54:[52, 51, 76] Operation: 89-13=76
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[13, 51, 37], Operations: ['89-52=37']
Exploring Operation: 13+37=50, Resulting Numbers: [51, 50]
Generated Node #0,0,0: 54:[51, 50] Operation: 13+37=50
Exploring Operation: 37-13=24, Resulting Numbers: [51, 24]
Generated Node #0,0,1: 54:[51, 24] Operation: 37-13=24
Exploring Operation: 51-37=14, Resulting Numbers: [13, 14]
Generated Node #0,0,2: 54:[13, 14] Operation: 51-37=14
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 54:[51, 24], Operations: ['89-52=37', '37-13=24']
Exploring Operation: 51*24=1224, Resulting Numbers: [1224]
1224,54 unequal: No Solution
Exploring Operation: 51+24=75, Resulting Numbers: [75]
75,54 unequal: No Solution
Exploring Operation: 51-24=27, Resulting Numbers: [27]
27,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 54:[51, 50], Operations: ['89-52=37', '13+37=50']
Exploring Operation: 51-50=1, Resulting Numbers: [1]
1,54 unequal: No Solution
Exploring Operation: 51*50=2550, Resulting Numbers: [2550]
2550,54 unequal: No Solution
Exploring Operation: 51+50=101, Resulting Numbers: [101]
101,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 54:[13, 14], Operations: ['89-52=37', '51-37=14']
Exploring Operation: 13*14=182, Resulting Numbers: [182]
182,54 unequal: No Solution
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,54 unequal: No Solution
Exploring Operation: 13+14=27, Resulting Numbers: [27]
27,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 54:[52, 13, 38], Operations: ['89-51=38']
Exploring Operation: 38-13=25, Resulting Numbers: [52, 25]
Generated Node #0,1,0: 54:[52, 25] Operation: 38-13=25
Exploring Operation: 13+38=51, Resulting Numbers: [52, 51]
Generated Node #0,1,1: 54:[52, 51] Operation: 13+38=51
Exploring Operation: 52-38=14, Resulting Numbers: [13, 14]
Generated Node #0,1,2: 54:[13, 14] Operation: 52-38=14
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 54:[52, 25], Operations: ['89-51=38', '38-13=25']
Exploring Operation: 52-25=27, Resulting Numbers: [27]
27,54 unequal: No Solution
Exploring Operation: 52+25=77, Resulting Numbers: [77]
77,54 unequal: No Solution
Exploring Operation: 52*25=1300, Resulting Numbers: [1300]
1300,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 54:[52, 51], Operations: ['89-51=38', '13+38=51']
Exploring Operation: 52-51=1, Resulting Numbers: [1]
1,54 unequal: No Solution
Exploring Operation: 52*51=2652, Resulting Numbers: [2652]
2652,54 unequal: No Solution
Exploring Operation: 52+51=103, Resulting Numbers: [103]
103,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 54:[13, 14], Operations: ['89-51=38', '52-38=14']
Exploring Operation: 13*14=182, Resulting Numbers: [182]
182,54 unequal: No Solution
Exploring Operation: 13+14=27, Resulting Numbers: [27]
27,54 unequal: No Solution
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 54:[52, 51, 76], Operations: ['89-13=76']
Exploring Operation: 52-51=1, Resulting Numbers: [76, 1]
Generated Node #0,2,0: 54:[76, 1] Operation: 52-51=1
Exploring Operation: 76-51=25, Resulting Numbers: [52, 25]
Generated Node #0,2,1: 54:[52, 25] Operation: 76-51=25
Exploring Operation: 76-52=24, Resulting Numbers: [51, 24]
Generated Node #0,2,2: 54:[51, 24] Operation: 76-52=24
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 54:[52, 25], Operations: ['89-13=76', '76-51=25']
Exploring Operation: 52-25=27, Resulting Numbers: [27]
27,54 unequal: No Solution
Exploring Operation: 52*25=1300, Resulting Numbers: [1300]
1300,54 unequal: No Solution
Exploring Operation: 52+25=77, Resulting Numbers: [77]
77,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 54:[51, 24], Operations: ['89-13=76', '76-52=24']
Exploring Operation: 51*24=1224, Resulting Numbers: [1224]
1224,54 unequal: No Solution
Exploring Operation: 51-24=27, Resulting Numbers: [27]
27,54 unequal: No Solution
Exploring Operation: 51+24=75, Resulting Numbers: [75]
75,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 54:[76, 1], Operations: ['89-13=76', '52-51=1']
Exploring Operation: 76/1=76, Resulting Numbers: [76]
76,54 unequal: No Solution
Exploring Operation: 76-1=75, Resulting Numbers: [75]
75,54 unequal: No Solution
Exploring Operation: 76*1=76, Resulting Numbers: [76]
76,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
sum_heuristic
|
[
98,
61,
13,
36
] | 59
|
[
"13+36=49",
"98/49=2",
"61-2=59"
] |
Current State: 59:[98, 61, 13, 36], Operations: []
Exploring Operation: 13+36=49, Resulting Numbers: [98, 61, 49]
Generated Node #2: [98, 61, 49] from Operation: 13+36=49
Current State: 59:[98, 61, 49], Operations: ['13+36=49']
Exploring Operation: 98/49=2, Resulting Numbers: [61, 2]
Generated Node #3: [61, 2] from Operation: 98/49=2
Current State: 59:[61, 2], Operations: ['13+36=49', '98/49=2']
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4
|
Current State: 59:[98, 61, 13, 36], Operations: []
Exploring Operation: 98-13=85, Resulting Numbers: [61, 36, 85]
Generated Node #0,0: 59:[61, 36, 85] Operation: 98-13=85
Exploring Operation: 98-36=62, Resulting Numbers: [61, 13, 62]
Generated Node #0,1: 59:[61, 13, 62] Operation: 98-36=62
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[61, 36, 85], Operations: ['98-13=85']
Exploring Operation: 85-36=49, Resulting Numbers: [61, 49]
Generated Node #0,0,0: 59:[61, 49] Operation: 85-36=49
Exploring Operation: 85-61=24, Resulting Numbers: [36, 24]
Generated Node #0,0,1: 59:[36, 24] Operation: 85-61=24
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 59:[61, 49], Operations: ['98-13=85', '85-36=49']
Exploring Operation: 61-49=12, Resulting Numbers: [12]
12,59 unequal: No Solution
Exploring Operation: 61+49=110, Resulting Numbers: [110]
110,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 59:[36, 24], Operations: ['98-13=85', '85-61=24']
Exploring Operation: 36+24=60, Resulting Numbers: [60]
60,59 unequal: No Solution
Exploring Operation: 36-24=12, Resulting Numbers: [12]
12,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[61, 13, 62], Operations: ['98-36=62']
Exploring Operation: 61-13=48, Resulting Numbers: [62, 48]
Generated Node #0,1,0: 59:[62, 48] Operation: 61-13=48
Exploring Operation: 62-13=49, Resulting Numbers: [61, 49]
Generated Node #0,1,1: 59:[61, 49] Operation: 62-13=49
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 59:[61, 49], Operations: ['98-36=62', '62-13=49']
Exploring Operation: 61-49=12, Resulting Numbers: [12]
12,59 unequal: No Solution
Exploring Operation: 61+49=110, Resulting Numbers: [110]
110,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 59:[62, 48], Operations: ['98-36=62', '61-13=48']
Exploring Operation: 62-48=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Exploring Operation: 62+48=110, Resulting Numbers: [110]
110,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
3,
38,
2,
94
] | 61
|
[
"38-3=35",
"2+94=96",
"96-35=61"
] |
Current State: 61:[3, 38, 2, 94], Operations: []
Exploring Operation: 38-3=35, Resulting Numbers: [2, 94, 35]
Generated Node #2: [2, 94, 35] from Operation: 38-3=35
Current State: 61:[2, 94, 35], Operations: ['38-3=35']
Exploring Operation: 2+94=96, Resulting Numbers: [35, 96]
Generated Node #3: [35, 96] from Operation: 2+94=96
Current State: 61:[35, 96], Operations: ['38-3=35', '2+94=96']
Exploring Operation: 96-35=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4
|
Current State: 61:[3, 38, 2, 94], Operations: []
Exploring Operation: 94/2=47, Resulting Numbers: [3, 38, 47]
Generated Node #0,0: 61:[3, 38, 47] Operation: 94/2=47
Moving to Node #0,0
Current State: 61:[3, 38, 47], Operations: ['94/2=47']
Exploring Operation: 3+38=41, Resulting Numbers: [47, 41]
Generated Node #0,0,0: 61:[47, 41] Operation: 3+38=41
Moving to Node #0,0,0
Current State: 61:[47, 41], Operations: ['94/2=47', '3+38=41']
Exploring Operation: 47+41=88, Resulting Numbers: [88]
88,61 unequal: No Solution
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
5,
86,
12,
1
] | 80
|
[
"5+86=91",
"12-1=11",
"91-11=80"
] |
Current State: 80:[5, 86, 12, 1], Operations: []
Exploring Operation: 5+86=91, Resulting Numbers: [12, 1, 91]
Generated Node #2: [12, 1, 91] from Operation: 5+86=91
Current State: 80:[12, 1, 91], Operations: ['5+86=91']
Exploring Operation: 12-1=11, Resulting Numbers: [91, 11]
Generated Node #3: [91, 11] from Operation: 12-1=11
Current State: 80:[91, 11], Operations: ['5+86=91', '12-1=11']
Exploring Operation: 91-11=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4
|
Current State: 80:[5, 86, 12, 1], Operations: []
Exploring Operation: 86-12=74, Resulting Numbers: [5, 1, 74]
Generated Node #0,0: 80:[5, 1, 74] Operation: 86-12=74
Exploring Operation: 86-1=85, Resulting Numbers: [5, 12, 85]
Generated Node #0,1: 80:[5, 12, 85] Operation: 86-1=85
Exploring Operation: 86-5=81, Resulting Numbers: [12, 1, 81]
Generated Node #0,2: 80:[12, 1, 81] Operation: 86-5=81
Moving to Node #0,2
Current State: 80:[12, 1, 81], Operations: ['86-5=81']
Exploring Operation: 12-1=11, Resulting Numbers: [81, 11]
Generated Node #0,2,0: 80:[81, 11] Operation: 12-1=11
Exploring Operation: 81-1=80, Resulting Numbers: [12, 80]
Generated Node #0,2,1: 80:[12, 80] Operation: 81-1=80
Exploring Operation: 12*1=12, Resulting Numbers: [81, 12]
Generated Node #0,2,2: 80:[81, 12] Operation: 12*1=12
Moving to Node #0,0
Current State: 80:[5, 1, 74], Operations: ['86-12=74']
Exploring Operation: 5+74=79, Resulting Numbers: [1, 79]
Generated Node #0,0,0: 80:[1, 79] Operation: 5+74=79
Exploring Operation: 5*1=5, Resulting Numbers: [74, 5]
Generated Node #0,0,1: 80:[74, 5] Operation: 5*1=5
Exploring Operation: 1+74=75, Resulting Numbers: [5, 75]
Generated Node #0,0,2: 80:[5, 75] Operation: 1+74=75
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 80:[1, 79], Operations: ['86-12=74', '5+74=79']
Exploring Operation: 1+79=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[5, 86, 12, 1], Operations: []
Exploring Operation: 86-12=74, Resulting Numbers: [5, 1, 74]
Generated Node #0,0: 80:[5, 1, 74] Operation: 86-12=74
Moving to Node #0,0
Current State: 80:[5, 1, 74], Operations: ['86-12=74']
Exploring Operation: 5+74=79, Resulting Numbers: [1, 79]
Generated Node #0,0,0: 80:[1, 79] Operation: 5+74=79
Moving to Node #0,0,0
Current State: 80:[1, 79], Operations: ['86-12=74', '5+74=79']
Exploring Operation: 1+79=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847
|
hs_3
|
sum_heuristic
|
[
81,
80,
58,
66
] | 91
|
[
"66-58=8",
"80/8=10",
"81+10=91"
] |
Current State: 91:[81, 80, 58, 66], Operations: []
Exploring Operation: 66-58=8, Resulting Numbers: [81, 80, 8]
Generated Node #2: [81, 80, 8] from Operation: 66-58=8
Current State: 91:[81, 80, 8], Operations: ['66-58=8']
Exploring Operation: 80/8=10, Resulting Numbers: [81, 10]
Generated Node #3: [81, 10] from Operation: 80/8=10
Current State: 91:[81, 10], Operations: ['66-58=8', '80/8=10']
Exploring Operation: 81+10=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4
|
Current State: 91:[81, 80, 58, 66], Operations: []
Exploring Operation: 66-58=8, Resulting Numbers: [81, 80, 8]
Generated Node #0,0: 91:[81, 80, 8] Operation: 66-58=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[81, 80, 8], Operations: ['66-58=8']
Exploring Operation: 81-80=1, Resulting Numbers: [8, 1]
Generated Node #0,0,0: 91:[8, 1] Operation: 81-80=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 91:[8, 1], Operations: ['66-58=8', '81-80=1']
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,91 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
|
[
90,
88,
79,
67
] | 77
|
[
"88-79=9",
"90/9=10",
"67+10=77"
] |
Current State: 77:[90, 88, 79, 67], Operations: []
Exploring Operation: 88-79=9, Resulting Numbers: [90, 67, 9]
Generated Node #2: [90, 67, 9] from Operation: 88-79=9
Current State: 77:[90, 67, 9], Operations: ['88-79=9']
Exploring Operation: 90/9=10, Resulting Numbers: [67, 10]
Generated Node #3: [67, 10] from Operation: 90/9=10
Current State: 77:[67, 10], Operations: ['88-79=9', '90/9=10']
Exploring Operation: 67+10=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4
|
Current State: 77:[90, 88, 79, 67], Operations: []
Exploring Operation: 90-79=11, Resulting Numbers: [88, 67, 11]
Generated Node #0,0: 77:[88, 67, 11] Operation: 90-79=11
Exploring Operation: 90-88=2, Resulting Numbers: [79, 67, 2]
Generated Node #0,1: 77:[79, 67, 2] Operation: 90-88=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 77:[79, 67, 2], Operations: ['90-88=2']
Exploring Operation: 79-2=77, Resulting Numbers: [67, 77]
Generated Node #0,1,0: 77:[67, 77] Operation: 79-2=77
Exploring Operation: 79-67=12, Resulting Numbers: [2, 12]
Generated Node #0,1,1: 77:[2, 12] Operation: 79-67=12
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 77:[2, 12], Operations: ['90-88=2', '79-67=12']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,77 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 77:[67, 77], Operations: ['90-88=2', '79-2=77']
Exploring Operation: 77-67=10, Resulting Numbers: [10]
10,77 unequal: No Solution
Exploring Operation: 67+77=144, Resulting Numbers: [144]
144,77 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: 77:[88, 67, 11], Operations: ['90-79=11']
Exploring Operation: 88-11=77, Resulting Numbers: [67, 77]
Generated Node #0,0,0: 77:[67, 77] Operation: 88-11=77
Exploring Operation: 88-67=21, Resulting Numbers: [11, 21]
Generated Node #0,0,1: 77:[11, 21] Operation: 88-67=21
Moving to Node #0,0,0
Current State: 77:[67, 77], Operations: ['90-79=11', '88-11=77']
Exploring Operation: 67+77=144, Resulting Numbers: [144]
144,77 unequal: No Solution
Exploring Operation: 77-67=10, Resulting Numbers: [10]
10,77 unequal: No Solution
Moving to Node #0,0,1
Current State: 77:[11, 21], Operations: ['90-79=11', '88-67=21']
Exploring Operation: 21-11=10, Resulting Numbers: [10]
10,77 unequal: No Solution
Exploring Operation: 11+21=32, Resulting Numbers: [32]
32,77 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
|
[
5,
99,
22,
41
] | 52
|
[
"5*22=110",
"99-41=58",
"110-58=52"
] |
Current State: 52:[5, 99, 22, 41], Operations: []
Exploring Operation: 5*22=110, Resulting Numbers: [99, 41, 110]
Generated Node #2: [99, 41, 110] from Operation: 5*22=110
Current State: 52:[99, 41, 110], Operations: ['5*22=110']
Exploring Operation: 99-41=58, Resulting Numbers: [110, 58]
Generated Node #3: [110, 58] from Operation: 99-41=58
Current State: 52:[110, 58], Operations: ['5*22=110', '99-41=58']
Exploring Operation: 110-58=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4
|
Current State: 52:[5, 99, 22, 41], Operations: []
Exploring Operation: 99-5=94, Resulting Numbers: [22, 41, 94]
Generated Node #0,0: 52:[22, 41, 94] Operation: 99-5=94
Exploring Operation: 41-22=19, Resulting Numbers: [5, 99, 19]
Generated Node #0,1: 52:[5, 99, 19] Operation: 41-22=19
Exploring Operation: 99-41=58, Resulting Numbers: [5, 22, 58]
Generated Node #0,2: 52:[5, 22, 58] Operation: 99-41=58
Exploring Operation: 99-22=77, Resulting Numbers: [5, 41, 77]
Generated Node #0,3: 52:[5, 41, 77] Operation: 99-22=77
Start Sub Search at level 1: Moving to Node #0,2
Current State: 52:[5, 22, 58], Operations: ['99-41=58']
Exploring Operation: 22-5=17, Resulting Numbers: [58, 17]
Generated Node #0,2,0: 52:[58, 17] Operation: 22-5=17
Exploring Operation: 5+22=27, Resulting Numbers: [58, 27]
Generated Node #0,2,1: 52:[58, 27] Operation: 5+22=27
Exploring Operation: 58-22=36, Resulting Numbers: [5, 36]
Generated Node #0,2,2: 52:[5, 36] Operation: 58-22=36
Exploring Operation: 58-5=53, Resulting Numbers: [22, 53]
Generated Node #0,2,3: 52:[22, 53] Operation: 58-5=53
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 52:[22, 53], Operations: ['99-41=58', '58-5=53']
Exploring Operation: 22+53=75, Resulting Numbers: [75]
75,52 unequal: No Solution
Exploring Operation: 53-22=31, Resulting Numbers: [31]
31,52 unequal: No Solution
Exploring Operation: 22*53=1166, Resulting Numbers: [1166]
1166,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 52:[58, 27], Operations: ['99-41=58', '5+22=27']
Exploring Operation: 58+27=85, Resulting Numbers: [85]
85,52 unequal: No Solution
Exploring Operation: 58*27=1566, Resulting Numbers: [1566]
1566,52 unequal: No Solution
Exploring Operation: 58-27=31, Resulting Numbers: [31]
31,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 52:[58, 17], Operations: ['99-41=58', '22-5=17']
Exploring Operation: 58-17=41, Resulting Numbers: [41]
41,52 unequal: No Solution
Exploring Operation: 58+17=75, Resulting Numbers: [75]
75,52 unequal: No Solution
Exploring Operation: 58*17=986, Resulting Numbers: [986]
986,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 52:[5, 36], Operations: ['99-41=58', '58-22=36']
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,52 unequal: No Solution
Exploring Operation: 5*36=180, Resulting Numbers: [180]
180,52 unequal: No Solution
Exploring Operation: 5+36=41, Resulting Numbers: [41]
41,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 52:[5, 41, 77], Operations: ['99-22=77']
Exploring Operation: 77-41=36, Resulting Numbers: [5, 36]
Generated Node #0,3,0: 52:[5, 36] Operation: 77-41=36
Exploring Operation: 5+41=46, Resulting Numbers: [77, 46]
Generated Node #0,3,1: 52:[77, 46] Operation: 5+41=46
Exploring Operation: 41-5=36, Resulting Numbers: [77, 36]
Generated Node #0,3,2: 52:[77, 36] Operation: 41-5=36
Exploring Operation: 77-5=72, Resulting Numbers: [41, 72]
Generated Node #0,3,3: 52:[41, 72] Operation: 77-5=72
Moving to Node #0,3,0
Current State: 52:[5, 36], Operations: ['99-22=77', '77-41=36']
Exploring Operation: 5*36=180, Resulting Numbers: [180]
180,52 unequal: No Solution
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,52 unequal: No Solution
Exploring Operation: 5+36=41, Resulting Numbers: [41]
41,52 unequal: No Solution
Moving to Node #0,3,3
Current State: 52:[41, 72], Operations: ['99-22=77', '77-5=72']
Exploring Operation: 72-41=31, Resulting Numbers: [31]
31,52 unequal: No Solution
Exploring Operation: 41*72=2952, Resulting Numbers: [2952]
2952,52 unequal: No Solution
Exploring Operation: 41+72=113, Resulting Numbers: [113]
113,52 unequal: No Solution
Moving to Node #0,3,1
Current State: 52:[77, 46], Operations: ['99-22=77', '5+41=46']
Exploring Operation: 77+46=123, Resulting Numbers: [123]
123,52 unequal: No Solution
Exploring Operation: 77*46=3542, Resulting Numbers: [3542]
3542,52 unequal: No Solution
Exploring Operation: 77-46=31, Resulting Numbers: [31]
31,52 unequal: No Solution
Moving to Node #0,3,2
Current State: 52:[77, 36], Operations: ['99-22=77', '41-5=36']
Exploring Operation: 77+36=113, Resulting Numbers: [113]
113,52 unequal: No Solution
Exploring Operation: 77*36=2772, Resulting Numbers: [2772]
2772,52 unequal: No Solution
Exploring Operation: 77-36=41, Resulting Numbers: [41]
41,52 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
Current State: 52:[5, 99, 19], Operations: ['41-22=19']
Exploring Operation: 19-5=14, Resulting Numbers: [99, 14]
Generated Node #0,1,0: 52:[99, 14] Operation: 19-5=14
Exploring Operation: 99-19=80, Resulting Numbers: [5, 80]
Generated Node #0,1,1: 52:[5, 80] Operation: 99-19=80
Exploring Operation: 99-5=94, Resulting Numbers: [19, 94]
Generated Node #0,1,2: 52:[19, 94] Operation: 99-5=94
Exploring Operation: 5+19=24, Resulting Numbers: [99, 24]
Generated Node #0,1,3: 52:[99, 24] Operation: 5+19=24
Moving to Node #0,1,1
Current State: 52:[5, 80], Operations: ['41-22=19', '99-19=80']
Exploring Operation: 5*80=400, Resulting Numbers: [400]
400,52 unequal: No Solution
Exploring Operation: 5+80=85, Resulting Numbers: [85]
85,52 unequal: No Solution
Exploring Operation: 80-5=75, Resulting Numbers: [75]
75,52 unequal: No Solution
Exploring Operation: 80/5=16, Resulting Numbers: [16]
16,52 unequal: No Solution
Moving to Node #0,1,2
Current State: 52:[19, 94], Operations: ['41-22=19', '99-5=94']
Exploring Operation: 94-19=75, Resulting Numbers: [75]
75,52 unequal: No Solution
Exploring Operation: 19*94=1786, Resulting Numbers: [1786]
1786,52 unequal: No Solution
Exploring Operation: 19+94=113, Resulting Numbers: [113]
113,52 unequal: No Solution
Moving to Node #0,1,0
Current State: 52:[99, 14], Operations: ['41-22=19', '19-5=14']
Exploring Operation: 99*14=1386, Resulting Numbers: [1386]
1386,52 unequal: No Solution
Exploring Operation: 99-14=85, Resulting Numbers: [85]
85,52 unequal: No Solution
Exploring Operation: 99+14=113, Resulting Numbers: [113]
113,52 unequal: No Solution
Moving to Node #0,1,3
Current State: 52:[99, 24], Operations: ['41-22=19', '5+19=24']
Exploring Operation: 99*24=2376, Resulting Numbers: [2376]
2376,52 unequal: No Solution
Exploring Operation: 99+24=123, Resulting Numbers: [123]
123,52 unequal: No Solution
Exploring Operation: 99-24=75, Resulting Numbers: [75]
75,52 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
Current State: 52:[22, 41, 94], Operations: ['99-5=94']
Exploring Operation: 22+41=63, Resulting Numbers: [94, 63]
Generated Node #0,0,0: 52:[94, 63] Operation: 22+41=63
Exploring Operation: 41-22=19, Resulting Numbers: [94, 19]
Generated Node #0,0,1: 52:[94, 19] Operation: 41-22=19
Exploring Operation: 94-41=53, Resulting Numbers: [22, 53]
Generated Node #0,0,2: 52:[22, 53] Operation: 94-41=53
Exploring Operation: 94-22=72, Resulting Numbers: [41, 72]
Generated Node #0,0,3: 52:[41, 72] Operation: 94-22=72
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 52:[22, 53], Operations: ['99-5=94', '94-41=53']
Exploring Operation: 22*53=1166, Resulting Numbers: [1166]
1166,52 unequal: No Solution
Exploring Operation: 53-22=31, Resulting Numbers: [31]
31,52 unequal: No Solution
Exploring Operation: 22+53=75, Resulting Numbers: [75]
75,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 52:[41, 72], Operations: ['99-5=94', '94-22=72']
Exploring Operation: 41+72=113, Resulting Numbers: [113]
113,52 unequal: No Solution
Exploring Operation: 41*72=2952, Resulting Numbers: [2952]
2952,52 unequal: No Solution
Exploring Operation: 72-41=31, Resulting Numbers: [31]
31,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 52:[94, 19], Operations: ['99-5=94', '41-22=19']
Exploring Operation: 94*19=1786, Resulting Numbers: [1786]
1786,52 unequal: No Solution
Exploring Operation: 94+19=113, Resulting Numbers: [113]
113,52 unequal: No Solution
Exploring Operation: 94-19=75, Resulting Numbers: [75]
75,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 52:[94, 63], Operations: ['99-5=94', '22+41=63']
Exploring Operation: 94*63=5922, Resulting Numbers: [5922]
5922,52 unequal: No Solution
Exploring Operation: 94+63=157, Resulting Numbers: [157]
157,52 unequal: No Solution
Exploring Operation: 94-63=31, Resulting Numbers: [31]
31,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_4
|
sum_heuristic
|
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