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 |
|---|---|---|---|---|---|---|---|---|
[
73,
66,
59,
7
] | 24 | [
"66-59=7",
"7*7=49",
"73-49=24"
] | Current State: 24:[73, 66, 59, 7], Operations: []
Exploring Operation: 66-59=7, Resulting Numbers: [73, 7, 7]
Generated Node #2: [73, 7, 7] from Operation: 66-59=7
Current State: 24:[73, 7, 7], Operations: ['66-59=7']
Exploring Operation: 7*7=49, Resulting Numbers: [73, 49]
Generated Node #3: [73, 49] from Operation: 7*7=49
Current State: 24:[73, 49], Operations: ['66-59=7', '7*7=49']
Exploring Operation: 73-49=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[73, 66, 59, 7], Operations: []
Exploring Operation: 73-59=14, Resulting Numbers: [66, 7, 14]
Generated Node #0,0: 24:[66, 7, 14] Operation: 73-59=14
Exploring Operation: 73-66=7, Resulting Numbers: [59, 7, 7]
Generated Node #0,1: 24:[59, 7, 7] Operation: 73-66=7
Exploring Operation: 66-59=7, Resulting Numbers: [73, 7, 7]
Generated Node #0,2: 24:[73, 7, 7] Operation: 66-59=7
Exploring Operation: 73-7=66, Resulting Numbers: [66, 59, 66]
Generated Node #0,3: 24:[66, 59, 66] Operation: 73-7=66
Moving to Node #0,1
Current State: 24:[59, 7, 7], Operations: ['73-66=7']
Exploring Operation: 59-7=52, Resulting Numbers: [7, 52]
Generated Node #0,1,0: 24:[7, 52] Operation: 59-7=52
Exploring Operation: 59-7=52, Resulting Numbers: [7, 52]
Generated Node #0,1,1: 24:[7, 52] Operation: 59-7=52
Exploring Operation: 7+7=14, Resulting Numbers: [59, 14]
Generated Node #0,1,2: 24:[59, 14] Operation: 7+7=14
Exploring Operation: 7/7=1, Resulting Numbers: [59, 1]
Generated Node #0,1,3: 24:[59, 1] Operation: 7/7=1
Moving to Node #0,0
Current State: 24:[66, 7, 14], Operations: ['73-59=14']
Exploring Operation: 14-7=7, Resulting Numbers: [66, 7]
Generated Node #0,0,0: 24:[66, 7] Operation: 14-7=7
Exploring Operation: 14/7=2, Resulting Numbers: [66, 2]
Generated Node #0,0,1: 24:[66, 2] Operation: 14/7=2
Exploring Operation: 66-14=52, Resulting Numbers: [7, 52]
Generated Node #0,0,2: 24:[7, 52] Operation: 66-14=52
Exploring Operation: 66-7=59, Resulting Numbers: [14, 59]
Generated Node #0,0,3: 24:[14, 59] Operation: 66-7=59
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 24:[7, 52], Operations: ['73-59=14', '66-14=52']
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,24 unequal: No Solution
Exploring Operation: 7*52=364, Resulting Numbers: [364]
364,24 unequal: No Solution
Exploring Operation: 7+52=59, Resulting Numbers: [59]
59,24 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 #0,0,3
Current State: 24:[14, 59], Operations: ['73-59=14', '66-7=59']
Exploring Operation: 14+59=73, Resulting Numbers: [73]
73,24 unequal: No Solution
Exploring Operation: 14*59=826, Resulting Numbers: [826]
826,24 unequal: No Solution
Exploring Operation: 59-14=45, Resulting Numbers: [45]
45,24 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 #0,0,1
Current State: 24:[66, 2], Operations: ['73-59=14', '14/7=2']
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,24 unequal: No Solution
Exploring Operation: 66*2=132, Resulting Numbers: [132]
132,24 unequal: No Solution
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,24 unequal: No Solution
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,24 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 #0,0,0
Current State: 24:[66, 7], Operations: ['73-59=14', '14-7=7']
Exploring Operation: 66-7=59, Resulting Numbers: [59]
59,24 unequal: No Solution
Exploring Operation: 66*7=462, Resulting Numbers: [462]
462,24 unequal: No Solution
Exploring Operation: 66+7=73, Resulting Numbers: [73]
73,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 24:[73, 7, 7], Operations: ['66-59=7']
Exploring Operation: 7/7=1, Resulting Numbers: [73, 1]
Generated Node #0,2,0: 24:[73, 1] Operation: 7/7=1
Exploring Operation: 7+7=14, Resulting Numbers: [73, 14]
Generated Node #0,2,1: 24:[73, 14] Operation: 7+7=14
Exploring Operation: 73-7=66, Resulting Numbers: [7, 66]
Generated Node #0,2,2: 24:[7, 66] Operation: 73-7=66
Exploring Operation: 73-7=66, Resulting Numbers: [7, 66]
Generated Node #0,2,3: 24:[7, 66] Operation: 73-7=66
Moving to Node #0,3
Current State: 24:[66, 59, 66], Operations: ['73-7=66']
Exploring Operation: 66-66=0, Resulting Numbers: [59, 0]
Generated Node #0,3,0: 24:[59, 0] Operation: 66-66=0
Exploring Operation: 66/66=1, Resulting Numbers: [59, 1]
Generated Node #0,3,1: 24:[59, 1] Operation: 66/66=1
Exploring Operation: 66-59=7, Resulting Numbers: [66, 7]
Generated Node #0,3,2: 24:[66, 7] Operation: 66-59=7
Exploring Operation: 66-59=7, Resulting Numbers: [66, 7]
Generated Node #0,3,3: 24:[66, 7] Operation: 66-59=7
Moving to Node #0,1,0
Current State: 24:[7, 52], Operations: ['73-66=7', '59-7=52']
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,24 unequal: No Solution
Exploring Operation: 7+52=59, Resulting Numbers: [59]
59,24 unequal: No Solution
Exploring Operation: 7*52=364, Resulting Numbers: [364]
364,24 unequal: No Solution
Moving to Node #0,1,1
Current State: 24:[7, 52], Operations: ['73-66=7', '59-7=52']
Exploring Operation: 7+52=59, Resulting Numbers: [59]
59,24 unequal: No Solution
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,24 unequal: No Solution
Exploring Operation: 7*52=364, Resulting Numbers: [364]
364,24 unequal: No Solution
Moving to Node #0,1,3
Current State: 24:[59, 1], Operations: ['73-66=7', '7/7=1']
Exploring Operation: 59+1=60, Resulting Numbers: [60]
60,24 unequal: No Solution
Exploring Operation: 59/1=59, Resulting Numbers: [59]
59,24 unequal: No Solution
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,24 unequal: No Solution
Exploring Operation: 59-1=58, Resulting Numbers: [58]
58,24 unequal: No Solution
Moving to Node #0,3,1
Current State: 24:[59, 1], Operations: ['73-7=66', '66/66=1']
Exploring Operation: 59+1=60, Resulting Numbers: [60]
60,24 unequal: No Solution
Exploring Operation: 59/1=59, Resulting Numbers: [59]
59,24 unequal: No Solution
Exploring Operation: 59-1=58, Resulting Numbers: [58]
58,24 unequal: No Solution
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,24 unequal: No Solution
Moving to Node #0,3,0
Current State: 24:[59, 0], Operations: ['73-7=66', '66-66=0']
Exploring Operation: 59*0=0, Resulting Numbers: [0]
0,24 unequal: No Solution
Exploring Operation: 59+0=59, Resulting Numbers: [59]
59,24 unequal: No Solution
Exploring Operation: 59-0=59, Resulting Numbers: [59]
59,24 unequal: No Solution
Moving to Node #0,1,2
Current State: 24:[59, 14], Operations: ['73-66=7', '7+7=14']
Exploring Operation: 59*14=826, Resulting Numbers: [826]
826,24 unequal: No Solution
Exploring Operation: 59+14=73, Resulting Numbers: [73]
73,24 unequal: No Solution
Exploring Operation: 59-14=45, Resulting Numbers: [45]
45,24 unequal: No Solution
Moving to Node #0,2,3
Current State: 24:[7, 66], Operations: ['66-59=7', '73-7=66']
Exploring Operation: 7+66=73, Resulting Numbers: [73]
73,24 unequal: No Solution
Exploring Operation: 7*66=462, Resulting Numbers: [462]
462,24 unequal: No Solution
Exploring Operation: 66-7=59, Resulting Numbers: [59]
59,24 unequal: No Solution
Moving to Node #0,3,2
Current State: 24:[66, 7], Operations: ['73-7=66', '66-59=7']
Exploring Operation: 66*7=462, Resulting Numbers: [462]
462,24 unequal: No Solution
Exploring Operation: 66+7=73, Resulting Numbers: [73]
73,24 unequal: No Solution
Exploring Operation: 66-7=59, Resulting Numbers: [59]
59,24 unequal: No Solution
Moving to Node #0,2,2
Current State: 24:[7, 66], Operations: ['66-59=7', '73-7=66']
Exploring Operation: 7*66=462, Resulting Numbers: [462]
462,24 unequal: No Solution
Exploring Operation: 7+66=73, Resulting Numbers: [73]
73,24 unequal: No Solution
Exploring Operation: 66-7=59, Resulting Numbers: [59]
59,24 unequal: No Solution
Moving to Node #0,3,3
Current State: 24:[66, 7], Operations: ['73-7=66', '66-59=7']
Exploring Operation: 66-7=59, Resulting Numbers: [59]
59,24 unequal: No Solution
Exploring Operation: 66*7=462, Resulting Numbers: [462]
462,24 unequal: No Solution
Exploring Operation: 66+7=73, Resulting Numbers: [73]
73,24 unequal: No Solution
Moving to Node #0,2,0
Current State: 24:[73, 1], Operations: ['66-59=7', '7/7=1']
Exploring Operation: 73-1=72, Resulting Numbers: [72]
72,24 unequal: No Solution
Exploring Operation: 73+1=74, Resulting Numbers: [74]
74,24 unequal: No Solution
Exploring Operation: 73*1=73, Resulting Numbers: [73]
73,24 unequal: No Solution
Exploring Operation: 73/1=73, Resulting Numbers: [73]
73,24 unequal: No Solution
Moving to Node #0,2,1
Current State: 24:[73, 14], Operations: ['66-59=7', '7+7=14']
Exploring Operation: 73+14=87, Resulting Numbers: [87]
87,24 unequal: No Solution
Exploring Operation: 73-14=59, Resulting Numbers: [59]
59,24 unequal: No Solution
Exploring Operation: 73*14=1022, Resulting Numbers: [1022]
1022,24 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
50,
68,
58,
66
] | 79 | [
"68-66=2",
"58/2=29",
"50+29=79"
] | Current State: 79:[50, 68, 58, 66], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [50, 58, 2]
Generated Node #2: [50, 58, 2] from Operation: 68-66=2
Current State: 79:[50, 58, 2], Operations: ['68-66=2']
Exploring Operation: 58/2=29, Resulting Numbers: [50, 29]
Generated Node #3: [50, 29] from Operation: 58/2=29
Current State: 79:[50, 29], Operations: ['68-66=2', '58/2=29']
Exploring Operation: 50+29=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[50, 68, 58, 66], Operations: []
Exploring Operation: 50+58=108, Resulting Numbers: [68, 66, 108]
Generated Node #0,0: 79:[68, 66, 108] Operation: 50+58=108
Moving to Node #0,0
Current State: 79:[68, 66, 108], Operations: ['50+58=108']
Exploring Operation: 108-66=42, Resulting Numbers: [68, 42]
Generated Node #0,0,0: 79:[68, 42] Operation: 108-66=42
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 79:[68, 42], Operations: ['50+58=108', '108-66=42']
Exploring Operation: 68+42=110, Resulting Numbers: [110]
110,79 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 |
[
76,
66,
12,
46
] | 23 | [
"76-66=10",
"12-10=2",
"46/2=23"
] | Current State: 23:[76, 66, 12, 46], Operations: []
Exploring Operation: 76-66=10, Resulting Numbers: [12, 46, 10]
Generated Node #2: [12, 46, 10] from Operation: 76-66=10
Current State: 23:[12, 46, 10], Operations: ['76-66=10']
Exploring Operation: 12-10=2, Resulting Numbers: [46, 2]
Generated Node #3: [46, 2] from Operation: 12-10=2
Current State: 23:[46, 2], Operations: ['76-66=10', '12-10=2']
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[76, 66, 12, 46], Operations: []
Exploring Operation: 76-66=10, Resulting Numbers: [12, 46, 10]
Generated Node #0,0: 23:[12, 46, 10] Operation: 76-66=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[12, 46, 10], Operations: ['76-66=10']
Exploring Operation: 46-12=34, Resulting Numbers: [10, 34]
Generated Node #0,0,0: 23:[10, 34] Operation: 46-12=34
Moving to Node #0,0,0
Current State: 23:[10, 34], Operations: ['76-66=10', '46-12=34']
Exploring Operation: 34-10=24, Resulting Numbers: [24]
24,23 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 |
[
5,
62,
48,
73
] | 82 | [
"62-5=57",
"73-48=25",
"57+25=82"
] | Current State: 82:[5, 62, 48, 73], Operations: []
Exploring Operation: 62-5=57, Resulting Numbers: [48, 73, 57]
Generated Node #2: [48, 73, 57] from Operation: 62-5=57
Current State: 82:[48, 73, 57], Operations: ['62-5=57']
Exploring Operation: 73-48=25, Resulting Numbers: [57, 25]
Generated Node #3: [57, 25] from Operation: 73-48=25
Current State: 82:[57, 25], Operations: ['62-5=57', '73-48=25']
Exploring Operation: 57+25=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[5, 62, 48, 73], Operations: []
Exploring Operation: 5+62=67, Resulting Numbers: [48, 73, 67]
Generated Node #0,0: 82:[48, 73, 67] Operation: 5+62=67
Exploring Operation: 62-48=14, Resulting Numbers: [5, 73, 14]
Generated Node #0,1: 82:[5, 73, 14] Operation: 62-48=14
Exploring Operation: 48-5=43, Resulting Numbers: [62, 73, 43]
Generated Node #0,2: 82:[62, 73, 43] Operation: 48-5=43
Exploring Operation: 73-62=11, Resulting Numbers: [5, 48, 11]
Generated Node #0,3: 82:[5, 48, 11] Operation: 73-62=11
Start Sub Search at level 1: Moving to Node #0,3
Current State: 82:[5, 48, 11], Operations: ['73-62=11']
Exploring Operation: 48-5=43, Resulting Numbers: [11, 43]
Generated Node #0,3,0: 82:[11, 43] Operation: 48-5=43
Exploring Operation: 48-11=37, Resulting Numbers: [5, 37]
Generated Node #0,3,1: 82:[5, 37] Operation: 48-11=37
Exploring Operation: 11-5=6, Resulting Numbers: [48, 6]
Generated Node #0,3,2: 82:[48, 6] Operation: 11-5=6
Exploring Operation: 5+48=53, Resulting Numbers: [11, 53]
Generated Node #0,3,3: 82:[11, 53] Operation: 5+48=53
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 82:[5, 37], Operations: ['73-62=11', '48-11=37']
Exploring Operation: 5*37=185, Resulting Numbers: [185]
185,82 unequal: No Solution
Exploring Operation: 5+37=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 82:[11, 43], Operations: ['73-62=11', '48-5=43']
Exploring Operation: 43-11=32, Resulting Numbers: [32]
32,82 unequal: No Solution
Exploring Operation: 11*43=473, Resulting Numbers: [473]
473,82 unequal: No Solution
Exploring Operation: 11+43=54, Resulting Numbers: [54]
54,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 82:[48, 6], Operations: ['73-62=11', '11-5=6']
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,82 unequal: No Solution
Exploring Operation: 48*6=288, Resulting Numbers: [288]
288,82 unequal: No Solution
Exploring Operation: 48+6=54, Resulting Numbers: [54]
54,82 unequal: No Solution
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 82:[11, 53], Operations: ['73-62=11', '5+48=53']
Exploring Operation: 11+53=64, Resulting Numbers: [64]
64,82 unequal: No Solution
Exploring Operation: 11*53=583, Resulting Numbers: [583]
583,82 unequal: No Solution
Exploring Operation: 53-11=42, Resulting Numbers: [42]
42,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[5, 73, 14], Operations: ['62-48=14']
Exploring Operation: 5*14=70, Resulting Numbers: [73, 70]
Generated Node #0,1,0: 82:[73, 70] Operation: 5*14=70
Exploring Operation: 73+14=87, Resulting Numbers: [5, 87]
Generated Node #0,1,1: 82:[5, 87] Operation: 73+14=87
Exploring Operation: 14-5=9, Resulting Numbers: [73, 9]
Generated Node #0,1,2: 82:[73, 9] Operation: 14-5=9
Exploring Operation: 5+73=78, Resulting Numbers: [14, 78]
Generated Node #0,1,3: 82:[14, 78] Operation: 5+73=78
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 82:[5, 87], Operations: ['62-48=14', '73+14=87']
Exploring Operation: 87-5=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[5, 62, 48, 73], Operations: []
Exploring Operation: 62-48=14, Resulting Numbers: [5, 73, 14]
Generated Node #0,1: 82:[5, 73, 14] Operation: 62-48=14
Moving to Node #0,1
Current State: 82:[5, 73, 14], Operations: ['62-48=14']
Exploring Operation: 73+14=87, Resulting Numbers: [5, 87]
Generated Node #0,1,1: 82:[5, 87] Operation: 73+14=87
Moving to Node #0,1,1
Current State: 82:[5, 87], Operations: ['62-48=14', '73+14=87']
Exploring Operation: 87-5=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.973958 | hs_4 | mult_heuristic |
[
63,
99,
19,
27
] | 48 | [
"63*19=1197",
"99+1197=1296",
"1296/27=48"
] | Current State: 48:[63, 99, 19, 27], Operations: []
Exploring Operation: 63*19=1197, Resulting Numbers: [99, 27, 1197]
Generated Node #2: [99, 27, 1197] from Operation: 63*19=1197
Current State: 48:[99, 27, 1197], Operations: ['63*19=1197']
Exploring Operation: 99+1197=1296, Resulting Numbers: [27, 1296]
Generated Node #3: [27, 1296] from Operation: 99+1197=1296
Current State: 48:[27, 1296], Operations: ['63*19=1197', '99+1197=1296']
Exploring Operation: 1296/27=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[63, 99, 19, 27], Operations: []
Exploring Operation: 63-19=44, Resulting Numbers: [99, 27, 44]
Generated Node #0,0: 48:[99, 27, 44] Operation: 63-19=44
Exploring Operation: 99-63=36, Resulting Numbers: [19, 27, 36]
Generated Node #0,1: 48:[19, 27, 36] Operation: 99-63=36
Exploring Operation: 99-27=72, Resulting Numbers: [63, 19, 72]
Generated Node #0,2: 48:[63, 19, 72] Operation: 99-27=72
Exploring Operation: 99-19=80, Resulting Numbers: [63, 27, 80]
Generated Node #0,3: 48:[63, 27, 80] Operation: 99-19=80
Moving to Node #0,1
Current State: 48:[19, 27, 36], Operations: ['99-63=36']
Exploring Operation: 27-19=8, Resulting Numbers: [36, 8]
Generated Node #0,1,0: 48:[36, 8] Operation: 27-19=8
Exploring Operation: 36-19=17, Resulting Numbers: [27, 17]
Generated Node #0,1,1: 48:[27, 17] Operation: 36-19=17
Exploring Operation: 19+36=55, Resulting Numbers: [27, 55]
Generated Node #0,1,2: 48:[27, 55] Operation: 19+36=55
Exploring Operation: 36-27=9, Resulting Numbers: [19, 9]
Generated Node #0,1,3: 48:[19, 9] Operation: 36-27=9
Moving to Node #0,2
Current State: 48:[63, 19, 72], Operations: ['99-27=72']
Exploring Operation: 72-63=9, Resulting Numbers: [19, 9]
Generated Node #0,2,0: 48:[19, 9] Operation: 72-63=9
Exploring Operation: 63-19=44, Resulting Numbers: [72, 44]
Generated Node #0,2,1: 48:[72, 44] Operation: 63-19=44
Exploring Operation: 63+19=82, Resulting Numbers: [72, 82]
Generated Node #0,2,2: 48:[72, 82] Operation: 63+19=82
Exploring Operation: 72-19=53, Resulting Numbers: [63, 53]
Generated Node #0,2,3: 48:[63, 53] Operation: 72-19=53
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 48:[19, 9], Operations: ['99-27=72', '72-63=9']
Exploring Operation: 19*9=171, Resulting Numbers: [171]
171,48 unequal: No Solution
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,48 unequal: No Solution
Exploring Operation: 19+9=28, Resulting Numbers: [28]
28,48 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 #0,2,3
Current State: 48:[63, 53], Operations: ['99-27=72', '72-19=53']
Exploring Operation: 63*53=3339, Resulting Numbers: [3339]
3339,48 unequal: No Solution
Exploring Operation: 63+53=116, Resulting Numbers: [116]
116,48 unequal: No Solution
Exploring Operation: 63-53=10, Resulting Numbers: [10]
10,48 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 #0,2,1
Current State: 48:[72, 44], Operations: ['99-27=72', '63-19=44']
Exploring Operation: 72-44=28, Resulting Numbers: [28]
28,48 unequal: No Solution
Exploring Operation: 72+44=116, Resulting Numbers: [116]
116,48 unequal: No Solution
Exploring Operation: 72*44=3168, Resulting Numbers: [3168]
3168,48 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 #0,2,2
Current State: 48:[72, 82], Operations: ['99-27=72', '63+19=82']
Exploring Operation: 72*82=5904, Resulting Numbers: [5904]
5904,48 unequal: No Solution
Exploring Operation: 72+82=154, Resulting Numbers: [154]
154,48 unequal: No Solution
Exploring Operation: 82-72=10, Resulting Numbers: [10]
10,48 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: 48:[63, 27, 80], Operations: ['99-19=80']
Exploring Operation: 80-27=53, Resulting Numbers: [63, 53]
Generated Node #0,3,0: 48:[63, 53] Operation: 80-27=53
Exploring Operation: 63-27=36, Resulting Numbers: [80, 36]
Generated Node #0,3,1: 48:[80, 36] Operation: 63-27=36
Exploring Operation: 80-63=17, Resulting Numbers: [27, 17]
Generated Node #0,3,2: 48:[27, 17] Operation: 80-63=17
Exploring Operation: 63+27=90, Resulting Numbers: [80, 90]
Generated Node #0,3,3: 48:[80, 90] Operation: 63+27=90
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 48:[27, 17], Operations: ['99-19=80', '80-63=17']
Exploring Operation: 27+17=44, Resulting Numbers: [44]
44,48 unequal: No Solution
Exploring Operation: 27-17=10, Resulting Numbers: [10]
10,48 unequal: No Solution
Exploring Operation: 27*17=459, Resulting Numbers: [459]
459,48 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 #0,3,0
Current State: 48:[63, 53], Operations: ['99-19=80', '80-27=53']
Exploring Operation: 63+53=116, Resulting Numbers: [116]
116,48 unequal: No Solution
Exploring Operation: 63-53=10, Resulting Numbers: [10]
10,48 unequal: No Solution
Exploring Operation: 63*53=3339, Resulting Numbers: [3339]
3339,48 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 #0,3,1
Current State: 48:[80, 36], Operations: ['99-19=80', '63-27=36']
Exploring Operation: 80-36=44, Resulting Numbers: [44]
44,48 unequal: No Solution
Exploring Operation: 80*36=2880, Resulting Numbers: [2880]
2880,48 unequal: No Solution
Exploring Operation: 80+36=116, Resulting Numbers: [116]
116,48 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 #0,3,3
Current State: 48:[80, 90], Operations: ['99-19=80', '63+27=90']
Exploring Operation: 80+90=170, Resulting Numbers: [170]
170,48 unequal: No Solution
Exploring Operation: 90-80=10, Resulting Numbers: [10]
10,48 unequal: No Solution
Exploring Operation: 80*90=7200, Resulting Numbers: [7200]
7200,48 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:[99, 27, 44], Operations: ['63-19=44']
Exploring Operation: 99-44=55, Resulting Numbers: [27, 55]
Generated Node #0,0,0: 48:[27, 55] Operation: 99-44=55
Exploring Operation: 44-27=17, Resulting Numbers: [99, 17]
Generated Node #0,0,1: 48:[99, 17] Operation: 44-27=17
Exploring Operation: 27+44=71, Resulting Numbers: [99, 71]
Generated Node #0,0,2: 48:[99, 71] Operation: 27+44=71
Exploring Operation: 99-27=72, Resulting Numbers: [44, 72]
Generated Node #0,0,3: 48:[44, 72] Operation: 99-27=72
Moving to Node #0,1,1
Current State: 48:[27, 17], Operations: ['99-63=36', '36-19=17']
Exploring Operation: 27*17=459, Resulting Numbers: [459]
459,48 unequal: No Solution
Exploring Operation: 27+17=44, Resulting Numbers: [44]
44,48 unequal: No Solution
Exploring Operation: 27-17=10, Resulting Numbers: [10]
10,48 unequal: No Solution
Moving to Node #0,1,3
Current State: 48:[19, 9], Operations: ['99-63=36', '36-27=9']
Exploring Operation: 19+9=28, Resulting Numbers: [28]
28,48 unequal: No Solution
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,48 unequal: No Solution
Exploring Operation: 19*9=171, Resulting Numbers: [171]
171,48 unequal: No Solution
Moving to Node #0,1,2
Current State: 48:[27, 55], Operations: ['99-63=36', '19+36=55']
Exploring Operation: 27+55=82, Resulting Numbers: [82]
82,48 unequal: No Solution
Exploring Operation: 27*55=1485, Resulting Numbers: [1485]
1485,48 unequal: No Solution
Exploring Operation: 55-27=28, Resulting Numbers: [28]
28,48 unequal: No Solution
Moving to Node #0,0,0
Current State: 48:[27, 55], Operations: ['63-19=44', '99-44=55']
Exploring Operation: 27*55=1485, Resulting Numbers: [1485]
1485,48 unequal: No Solution
Exploring Operation: 27+55=82, Resulting Numbers: [82]
82,48 unequal: No Solution
Exploring Operation: 55-27=28, Resulting Numbers: [28]
28,48 unequal: No Solution
Moving to Node #0,1,0
Current State: 48:[36, 8], Operations: ['99-63=36', '27-19=8']
Exploring Operation: 36*8=288, Resulting Numbers: [288]
288,48 unequal: No Solution
Exploring Operation: 36+8=44, Resulting Numbers: [44]
44,48 unequal: No Solution
Exploring Operation: 36-8=28, Resulting Numbers: [28]
28,48 unequal: No Solution
Moving to Node #0,0,3
Current State: 48:[44, 72], Operations: ['63-19=44', '99-27=72']
Exploring Operation: 44+72=116, Resulting Numbers: [116]
116,48 unequal: No Solution
Exploring Operation: 72-44=28, Resulting Numbers: [28]
28,48 unequal: No Solution
Exploring Operation: 44*72=3168, Resulting Numbers: [3168]
3168,48 unequal: No Solution
Moving to Node #0,0,1
Current State: 48:[99, 17], Operations: ['63-19=44', '44-27=17']
Exploring Operation: 99+17=116, Resulting Numbers: [116]
116,48 unequal: No Solution
Exploring Operation: 99*17=1683, Resulting Numbers: [1683]
1683,48 unequal: No Solution
Exploring Operation: 99-17=82, Resulting Numbers: [82]
82,48 unequal: No Solution
Moving to Node #0,0,2
Current State: 48:[99, 71], Operations: ['63-19=44', '27+44=71']
Exploring Operation: 99-71=28, Resulting Numbers: [28]
28,48 unequal: No Solution
Exploring Operation: 99+71=170, Resulting Numbers: [170]
170,48 unequal: No Solution
Exploring Operation: 99*71=7029, Resulting Numbers: [7029]
7029,48 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
40,
61,
28,
84
] | 54 | [
"40-28=12",
"84/12=7",
"61-7=54"
] | Current State: 54:[40, 61, 28, 84], Operations: []
Exploring Operation: 40-28=12, Resulting Numbers: [61, 84, 12]
Generated Node #2: [61, 84, 12] from Operation: 40-28=12
Current State: 54:[61, 84, 12], Operations: ['40-28=12']
Exploring Operation: 84/12=7, Resulting Numbers: [61, 7]
Generated Node #3: [61, 7] from Operation: 84/12=7
Current State: 54:[61, 7], Operations: ['40-28=12', '84/12=7']
Exploring Operation: 61-7=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[40, 61, 28, 84], Operations: []
Exploring Operation: 84-40=44, Resulting Numbers: [61, 28, 44]
Generated Node #0,0: 54:[61, 28, 44] Operation: 84-40=44
Moving to Node #0,0
Current State: 54:[61, 28, 44], Operations: ['84-40=44']
Exploring Operation: 61-44=17, Resulting Numbers: [28, 17]
Generated Node #0,0,0: 54:[28, 17] Operation: 61-44=17
Moving to Node #0,0,0
Current State: 54:[28, 17], Operations: ['84-40=44', '61-44=17']
Exploring Operation: 28-17=11, Resulting Numbers: [11]
11,54 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
44,
11,
8,
51
] | 69 | [
"51-44=7",
"11*7=77",
"77-8=69"
] | Current State: 69:[44, 11, 8, 51], Operations: []
Exploring Operation: 51-44=7, Resulting Numbers: [11, 8, 7]
Generated Node #2: [11, 8, 7] from Operation: 51-44=7
Current State: 69:[11, 8, 7], Operations: ['51-44=7']
Exploring Operation: 11*7=77, Resulting Numbers: [8, 77]
Generated Node #3: [8, 77] from Operation: 11*7=77
Current State: 69:[8, 77], Operations: ['51-44=7', '11*7=77']
Exploring Operation: 77-8=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[44, 11, 8, 51], Operations: []
Exploring Operation: 11+51=62, Resulting Numbers: [44, 8, 62]
Generated Node #0,0: 69:[44, 8, 62] Operation: 11+51=62
Exploring Operation: 51-44=7, Resulting Numbers: [11, 8, 7]
Generated Node #0,1: 69:[11, 8, 7] Operation: 51-44=7
Exploring Operation: 44-11=33, Resulting Numbers: [8, 51, 33]
Generated Node #0,2: 69:[8, 51, 33] Operation: 44-11=33
Exploring Operation: 44/11=4, Resulting Numbers: [8, 51, 4]
Generated Node #0,3: 69:[8, 51, 4] Operation: 44/11=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 69:[11, 8, 7], Operations: ['51-44=7']
Exploring Operation: 11-7=4, Resulting Numbers: [8, 4]
Generated Node #0,1,0: 69:[8, 4] Operation: 11-7=4
Exploring Operation: 11-8=3, Resulting Numbers: [7, 3]
Generated Node #0,1,1: 69:[7, 3] Operation: 11-8=3
Exploring Operation: 11+8=19, Resulting Numbers: [7, 19]
Generated Node #0,1,2: 69:[7, 19] Operation: 11+8=19
Exploring Operation: 11+7=18, Resulting Numbers: [8, 18]
Generated Node #0,1,3: 69:[8, 18] Operation: 11+7=18
Moving to Node #0,1,1
Current State: 69:[7, 3], Operations: ['51-44=7', '11-8=3']
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,69 unequal: No Solution
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,69 unequal: No Solution
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,69 unequal: No Solution
Moving to Node #0,1,0
Current State: 69:[8, 4], Operations: ['51-44=7', '11-7=4']
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,69 unequal: No Solution
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,69 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,69 unequal: No Solution
Moving to Node #0,1,2
Current State: 69:[7, 19], Operations: ['51-44=7', '11+8=19']
Exploring Operation: 7+19=26, Resulting Numbers: [26]
26,69 unequal: No Solution
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 7*19=133, Resulting Numbers: [133]
133,69 unequal: No Solution
Moving to Node #0,1,3
Current State: 69:[8, 18], Operations: ['51-44=7', '11+7=18']
Exploring Operation: 8*18=144, Resulting Numbers: [144]
144,69 unequal: No Solution
Exploring Operation: 8+18=26, Resulting Numbers: [26]
26,69 unequal: No Solution
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,69 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 #0,3
Current State: 69:[8, 51, 4], Operations: ['44/11=4']
Exploring Operation: 51+4=55, Resulting Numbers: [8, 55]
Generated Node #0,3,0: 69:[8, 55] Operation: 51+4=55
Exploring Operation: 8+51=59, Resulting Numbers: [4, 59]
Generated Node #0,3,1: 69:[4, 59] Operation: 8+51=59
Exploring Operation: 8/4=2, Resulting Numbers: [51, 2]
Generated Node #0,3,2: 69:[51, 2] Operation: 8/4=2
Exploring Operation: 8-4=4, Resulting Numbers: [51, 4]
Generated Node #0,3,3: 69:[51, 4] Operation: 8-4=4
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 69:[4, 59], Operations: ['44/11=4', '8+51=59']
Exploring Operation: 4+59=63, Resulting Numbers: [63]
63,69 unequal: No Solution
Exploring Operation: 4*59=236, Resulting Numbers: [236]
236,69 unequal: No Solution
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,69 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 #0,3,0
Current State: 69:[8, 55], Operations: ['44/11=4', '51+4=55']
Exploring Operation: 8*55=440, Resulting Numbers: [440]
440,69 unequal: No Solution
Exploring Operation: 8+55=63, Resulting Numbers: [63]
63,69 unequal: No Solution
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,69 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 #0,3,2
Current State: 69:[51, 2], Operations: ['44/11=4', '8/4=2']
Exploring Operation: 51+2=53, Resulting Numbers: [53]
53,69 unequal: No Solution
Exploring Operation: 51*2=102, Resulting Numbers: [102]
102,69 unequal: No Solution
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,69 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 #0,3,3
Current State: 69:[51, 4], Operations: ['44/11=4', '8-4=4']
Exploring Operation: 51*4=204, Resulting Numbers: [204]
204,69 unequal: No Solution
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,69 unequal: No Solution
Exploring Operation: 51+4=55, Resulting Numbers: [55]
55,69 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
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[44, 8, 62], Operations: ['11+51=62']
Exploring Operation: 44+8=52, Resulting Numbers: [62, 52]
Generated Node #0,0,0: 69:[62, 52] Operation: 44+8=52
Exploring Operation: 44-8=36, Resulting Numbers: [62, 36]
Generated Node #0,0,1: 69:[62, 36] Operation: 44-8=36
Exploring Operation: 62-44=18, Resulting Numbers: [8, 18]
Generated Node #0,0,2: 69:[8, 18] Operation: 62-44=18
Exploring Operation: 8+62=70, Resulting Numbers: [44, 70]
Generated Node #0,0,3: 69:[44, 70] Operation: 8+62=70
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 69:[8, 18], Operations: ['11+51=62', '62-44=18']
Exploring Operation: 8*18=144, Resulting Numbers: [144]
144,69 unequal: No Solution
Exploring Operation: 8+18=26, Resulting Numbers: [26]
26,69 unequal: No Solution
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,69 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 #0,0,1
Current State: 69:[62, 36], Operations: ['11+51=62', '44-8=36']
Exploring Operation: 62-36=26, Resulting Numbers: [26]
26,69 unequal: No Solution
Exploring Operation: 62+36=98, Resulting Numbers: [98]
98,69 unequal: No Solution
Exploring Operation: 62*36=2232, Resulting Numbers: [2232]
2232,69 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 #0,0,3
Current State: 69:[44, 70], Operations: ['11+51=62', '8+62=70']
Exploring Operation: 70-44=26, Resulting Numbers: [26]
26,69 unequal: No Solution
Exploring Operation: 44*70=3080, Resulting Numbers: [3080]
3080,69 unequal: No Solution
Exploring Operation: 44+70=114, Resulting Numbers: [114]
114,69 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 #0,0,0
Current State: 69:[62, 52], Operations: ['11+51=62', '44+8=52']
Exploring Operation: 62-52=10, Resulting Numbers: [10]
10,69 unequal: No Solution
Exploring Operation: 62*52=3224, Resulting Numbers: [3224]
3224,69 unequal: No Solution
Exploring Operation: 62+52=114, Resulting Numbers: [114]
114,69 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
Start Sub Search at level 1: Moving to Node #0,2
Current State: 69:[8, 51, 33], Operations: ['44-11=33']
Exploring Operation: 33-8=25, Resulting Numbers: [51, 25]
Generated Node #0,2,0: 69:[51, 25] Operation: 33-8=25
Exploring Operation: 51+33=84, Resulting Numbers: [8, 84]
Generated Node #0,2,1: 69:[8, 84] Operation: 51+33=84
Exploring Operation: 51-33=18, Resulting Numbers: [8, 18]
Generated Node #0,2,2: 69:[8, 18] Operation: 51-33=18
Exploring Operation: 8+51=59, Resulting Numbers: [33, 59]
Generated Node #0,2,3: 69:[33, 59] Operation: 8+51=59
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 69:[8, 18], Operations: ['44-11=33', '51-33=18']
Exploring Operation: 8*18=144, Resulting Numbers: [144]
144,69 unequal: No Solution
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,69 unequal: No Solution
Exploring Operation: 8+18=26, Resulting Numbers: [26]
26,69 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 #0,2,0
Current State: 69:[51, 25], Operations: ['44-11=33', '33-8=25']
Exploring Operation: 51+25=76, Resulting Numbers: [76]
76,69 unequal: No Solution
Exploring Operation: 51*25=1275, Resulting Numbers: [1275]
1275,69 unequal: No Solution
Exploring Operation: 51-25=26, Resulting Numbers: [26]
26,69 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 #0,2,1
Current State: 69:[8, 84], Operations: ['44-11=33', '51+33=84']
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,69 unequal: No Solution
Exploring Operation: 8+84=92, Resulting Numbers: [92]
92,69 unequal: No Solution
Exploring Operation: 8*84=672, Resulting Numbers: [672]
672,69 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 #0,2,3
Current State: 69:[33, 59], Operations: ['44-11=33', '8+51=59']
Exploring Operation: 59-33=26, Resulting Numbers: [26]
26,69 unequal: No Solution
Exploring Operation: 33*59=1947, Resulting Numbers: [1947]
1947,69 unequal: No Solution
Exploring Operation: 33+59=92, Resulting Numbers: [92]
92,69 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_4 | sum_heuristic |
[
81,
91,
44,
85
] | 31 | [
"91-81=10",
"85-44=41",
"41-10=31"
] | Current State: 31:[81, 91, 44, 85], Operations: []
Exploring Operation: 91-81=10, Resulting Numbers: [44, 85, 10]
Generated Node #2: [44, 85, 10] from Operation: 91-81=10
Current State: 31:[44, 85, 10], Operations: ['91-81=10']
Exploring Operation: 85-44=41, Resulting Numbers: [10, 41]
Generated Node #3: [10, 41] from Operation: 85-44=41
Current State: 31:[10, 41], Operations: ['91-81=10', '85-44=41']
Exploring Operation: 41-10=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[81, 91, 44, 85], Operations: []
Exploring Operation: 91-81=10, Resulting Numbers: [44, 85, 10]
Generated Node #0,0: 31:[44, 85, 10] Operation: 91-81=10
Exploring Operation: 91-85=6, Resulting Numbers: [81, 44, 6]
Generated Node #0,1: 31:[81, 44, 6] Operation: 91-85=6
Exploring Operation: 85-81=4, Resulting Numbers: [91, 44, 4]
Generated Node #0,2: 31:[91, 44, 4] Operation: 85-81=4
Moving to Node #0,0
Current State: 31:[44, 85, 10], Operations: ['91-81=10']
Exploring Operation: 85-44=41, Resulting Numbers: [10, 41]
Generated Node #0,0,0: 31:[10, 41] Operation: 85-44=41
Exploring Operation: 44-10=34, Resulting Numbers: [85, 34]
Generated Node #0,0,1: 31:[85, 34] Operation: 44-10=34
Exploring Operation: 85-10=75, Resulting Numbers: [44, 75]
Generated Node #0,0,2: 31:[44, 75] Operation: 85-10=75
Moving to Node #0,1
Current State: 31:[81, 44, 6], Operations: ['91-85=6']
Exploring Operation: 81-44=37, Resulting Numbers: [6, 37]
Generated Node #0,1,0: 31:[6, 37] Operation: 81-44=37
Exploring Operation: 81-6=75, Resulting Numbers: [44, 75]
Generated Node #0,1,1: 31:[44, 75] Operation: 81-6=75
Exploring Operation: 44-6=38, Resulting Numbers: [81, 38]
Generated Node #0,1,2: 31:[81, 38] Operation: 44-6=38
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 31:[6, 37], Operations: ['91-85=6', '81-44=37']
Exploring Operation: 6*37=222, Resulting Numbers: [222]
222,31 unequal: No Solution
Exploring Operation: 6+37=43, Resulting Numbers: [43]
43,31 unequal: No Solution
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[81, 91, 44, 85], Operations: []
Exploring Operation: 91-85=6, Resulting Numbers: [81, 44, 6]
Generated Node #0,1: 31:[81, 44, 6] Operation: 91-85=6
Moving to Node #0,1
Current State: 31:[81, 44, 6], Operations: ['91-85=6']
Exploring Operation: 81-44=37, Resulting Numbers: [6, 37]
Generated Node #0,1,0: 31:[6, 37] Operation: 81-44=37
Moving to Node #0,1,0
Current State: 31:[6, 37], Operations: ['91-85=6', '81-44=37']
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | sum_heuristic |
[
19,
98,
51,
14
] | 39 | [
"51-19=32",
"98/14=7",
"32+7=39"
] | Current State: 39:[19, 98, 51, 14], Operations: []
Exploring Operation: 51-19=32, Resulting Numbers: [98, 14, 32]
Generated Node #2: [98, 14, 32] from Operation: 51-19=32
Current State: 39:[98, 14, 32], Operations: ['51-19=32']
Exploring Operation: 98/14=7, Resulting Numbers: [32, 7]
Generated Node #3: [32, 7] from Operation: 98/14=7
Current State: 39:[32, 7], Operations: ['51-19=32', '98/14=7']
Exploring Operation: 32+7=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[19, 98, 51, 14], Operations: []
Exploring Operation: 98/14=7, Resulting Numbers: [19, 51, 7]
Generated Node #0,0: 39:[19, 51, 7] Operation: 98/14=7
Exploring Operation: 98-51=47, Resulting Numbers: [19, 14, 47]
Generated Node #0,1: 39:[19, 14, 47] Operation: 98-51=47
Moving to Node #0,1
Current State: 39:[19, 14, 47], Operations: ['98-51=47']
Exploring Operation: 47-19=28, Resulting Numbers: [14, 28]
Generated Node #0,1,0: 39:[14, 28] Operation: 47-19=28
Exploring Operation: 19-14=5, Resulting Numbers: [47, 5]
Generated Node #0,1,1: 39:[47, 5] Operation: 19-14=5
Moving to Node #0,0
Current State: 39:[19, 51, 7], Operations: ['98/14=7']
Exploring Operation: 51-19=32, Resulting Numbers: [7, 32]
Generated Node #0,0,0: 39:[7, 32] Operation: 51-19=32
Exploring Operation: 51-7=44, Resulting Numbers: [19, 44]
Generated Node #0,0,1: 39:[19, 44] Operation: 51-7=44
Moving to Node #0,1,1
Current State: 39:[47, 5], Operations: ['98-51=47', '19-14=5']
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,39 unequal: No Solution
Exploring Operation: 47+5=52, Resulting Numbers: [52]
52,39 unequal: No Solution
Moving to Node #0,0,0
Current State: 39:[7, 32], Operations: ['98/14=7', '51-19=32']
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,39 unequal: No Solution
Exploring Operation: 7+32=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[19, 98, 51, 14], Operations: []
Exploring Operation: 98/14=7, Resulting Numbers: [19, 51, 7]
Generated Node #0,0: 39:[19, 51, 7] Operation: 98/14=7
Moving to Node #0,0
Current State: 39:[19, 51, 7], Operations: ['98/14=7']
Exploring Operation: 51-19=32, Resulting Numbers: [7, 32]
Generated Node #0,0,0: 39:[7, 32] Operation: 51-19=32
Moving to Node #0,0,0
Current State: 39:[7, 32], Operations: ['98/14=7', '51-19=32']
Exploring Operation: 7+32=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 0.987847 | hs_2 | sum_heuristic |
[
31,
11,
24,
85
] | 17 | [
"31+24=55",
"11*85=935",
"935/55=17"
] | Current State: 17:[31, 11, 24, 85], Operations: []
Exploring Operation: 31+24=55, Resulting Numbers: [11, 85, 55]
Generated Node #2: [11, 85, 55] from Operation: 31+24=55
Current State: 17:[11, 85, 55], Operations: ['31+24=55']
Exploring Operation: 11*85=935, Resulting Numbers: [55, 935]
Generated Node #3: [55, 935] from Operation: 11*85=935
Current State: 17:[55, 935], Operations: ['31+24=55', '11*85=935']
Exploring Operation: 935/55=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[31, 11, 24, 85], Operations: []
Exploring Operation: 31-11=20, Resulting Numbers: [24, 85, 20]
Generated Node #0,0: 17:[24, 85, 20] Operation: 31-11=20
Exploring Operation: 85-24=61, Resulting Numbers: [31, 11, 61]
Generated Node #0,1: 17:[31, 11, 61] Operation: 85-24=61
Exploring Operation: 85-31=54, Resulting Numbers: [11, 24, 54]
Generated Node #0,2: 17:[11, 24, 54] Operation: 85-31=54
Start Sub Search at level 1: Moving to Node #0,2
Current State: 17:[11, 24, 54], Operations: ['85-31=54']
Exploring Operation: 54-24=30, Resulting Numbers: [11, 30]
Generated Node #0,2,0: 17:[11, 30] Operation: 54-24=30
Exploring Operation: 54-11=43, Resulting Numbers: [24, 43]
Generated Node #0,2,1: 17:[24, 43] Operation: 54-11=43
Exploring Operation: 24-11=13, Resulting Numbers: [54, 13]
Generated Node #0,2,2: 17:[54, 13] Operation: 24-11=13
Moving to Node #0,2,0
Current State: 17:[11, 30], Operations: ['85-31=54', '54-24=30']
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 11*30=330, Resulting Numbers: [330]
330,17 unequal: No Solution
Exploring Operation: 11+30=41, Resulting Numbers: [41]
41,17 unequal: No Solution
Moving to Node #0,2,1
Current State: 17:[24, 43], Operations: ['85-31=54', '54-11=43']
Exploring Operation: 43-24=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 24*43=1032, Resulting Numbers: [1032]
1032,17 unequal: No Solution
Exploring Operation: 24+43=67, Resulting Numbers: [67]
67,17 unequal: No Solution
Moving to Node #0,2,2
Current State: 17:[54, 13], Operations: ['85-31=54', '24-11=13']
Exploring Operation: 54*13=702, Resulting Numbers: [702]
702,17 unequal: No Solution
Exploring Operation: 54+13=67, Resulting Numbers: [67]
67,17 unequal: No Solution
Exploring Operation: 54-13=41, Resulting Numbers: [41]
41,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 17:[31, 11, 61], Operations: ['85-24=61']
Exploring Operation: 61-11=50, Resulting Numbers: [31, 50]
Generated Node #0,1,0: 17:[31, 50] Operation: 61-11=50
Exploring Operation: 61-31=30, Resulting Numbers: [11, 30]
Generated Node #0,1,1: 17:[11, 30] Operation: 61-31=30
Exploring Operation: 31-11=20, Resulting Numbers: [61, 20]
Generated Node #0,1,2: 17:[61, 20] Operation: 31-11=20
Moving to Node #0,1,1
Current State: 17:[11, 30], Operations: ['85-24=61', '61-31=30']
Exploring Operation: 11*30=330, Resulting Numbers: [330]
330,17 unequal: No Solution
Exploring Operation: 11+30=41, Resulting Numbers: [41]
41,17 unequal: No Solution
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Moving to Node #0,1,0
Current State: 17:[31, 50], Operations: ['85-24=61', '61-11=50']
Exploring Operation: 50-31=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 31+50=81, Resulting Numbers: [81]
81,17 unequal: No Solution
Exploring Operation: 31*50=1550, Resulting Numbers: [1550]
1550,17 unequal: No Solution
Moving to Node #0,1,2
Current State: 17:[61, 20], Operations: ['85-24=61', '31-11=20']
Exploring Operation: 61*20=1220, Resulting Numbers: [1220]
1220,17 unequal: No Solution
Exploring Operation: 61+20=81, Resulting Numbers: [81]
81,17 unequal: No Solution
Exploring Operation: 61-20=41, Resulting Numbers: [41]
41,17 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 #0,0
Current State: 17:[24, 85, 20], Operations: ['31-11=20']
Exploring Operation: 85-20=65, Resulting Numbers: [24, 65]
Generated Node #0,0,0: 17:[24, 65] Operation: 85-20=65
Exploring Operation: 85-24=61, Resulting Numbers: [20, 61]
Generated Node #0,0,1: 17:[20, 61] Operation: 85-24=61
Exploring Operation: 24-20=4, Resulting Numbers: [85, 4]
Generated Node #0,0,2: 17:[85, 4] Operation: 24-20=4
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 17:[20, 61], Operations: ['31-11=20', '85-24=61']
Exploring Operation: 20*61=1220, Resulting Numbers: [1220]
1220,17 unequal: No Solution
Exploring Operation: 20+61=81, Resulting Numbers: [81]
81,17 unequal: No Solution
Exploring Operation: 61-20=41, Resulting Numbers: [41]
41,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 17:[24, 65], Operations: ['31-11=20', '85-20=65']
Exploring Operation: 24+65=89, Resulting Numbers: [89]
89,17 unequal: No Solution
Exploring Operation: 24*65=1560, Resulting Numbers: [1560]
1560,17 unequal: No Solution
Exploring Operation: 65-24=41, Resulting Numbers: [41]
41,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 17:[85, 4], Operations: ['31-11=20', '24-20=4']
Exploring Operation: 85*4=340, Resulting Numbers: [340]
340,17 unequal: No Solution
Exploring Operation: 85+4=89, Resulting Numbers: [89]
89,17 unequal: No Solution
Exploring Operation: 85-4=81, Resulting Numbers: [81]
81,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
37,
59,
2,
28
] | 82 | [
"37+59=96",
"28/2=14",
"96-14=82"
] | Current State: 82:[37, 59, 2, 28], Operations: []
Exploring Operation: 37+59=96, Resulting Numbers: [2, 28, 96]
Generated Node #2: [2, 28, 96] from Operation: 37+59=96
Current State: 82:[2, 28, 96], Operations: ['37+59=96']
Exploring Operation: 28/2=14, Resulting Numbers: [96, 14]
Generated Node #3: [96, 14] from Operation: 28/2=14
Current State: 82:[96, 14], Operations: ['37+59=96', '28/2=14']
Exploring Operation: 96-14=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[37, 59, 2, 28], Operations: []
Exploring Operation: 59-28=31, Resulting Numbers: [37, 2, 31]
Generated Node #0,0: 82:[37, 2, 31] Operation: 59-28=31
Exploring Operation: 37-28=9, Resulting Numbers: [59, 2, 9]
Generated Node #0,1: 82:[59, 2, 9] Operation: 37-28=9
Exploring Operation: 59+28=87, Resulting Numbers: [37, 2, 87]
Generated Node #0,2: 82:[37, 2, 87] Operation: 59+28=87
Moving to Node #0,2
Current State: 82:[37, 2, 87], Operations: ['59+28=87']
Exploring Operation: 87-2=85, Resulting Numbers: [37, 85]
Generated Node #0,2,0: 82:[37, 85] Operation: 87-2=85
Exploring Operation: 87-37=50, Resulting Numbers: [2, 50]
Generated Node #0,2,1: 82:[2, 50] Operation: 87-37=50
Exploring Operation: 37+2=39, Resulting Numbers: [87, 39]
Generated Node #0,2,2: 82:[87, 39] Operation: 37+2=39
Moving to Node #0,0
Current State: 82:[37, 2, 31], Operations: ['59-28=31']
Exploring Operation: 2+31=33, Resulting Numbers: [37, 33]
Generated Node #0,0,0: 82:[37, 33] Operation: 2+31=33
Exploring Operation: 37+2=39, Resulting Numbers: [31, 39]
Generated Node #0,0,1: 82:[31, 39] Operation: 37+2=39
Exploring Operation: 37-31=6, Resulting Numbers: [2, 6]
Generated Node #0,0,2: 82:[2, 6] Operation: 37-31=6
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 82:[2, 6], Operations: ['59-28=31', '37-31=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,82 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,82 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 82:[37, 33], Operations: ['59-28=31', '2+31=33']
Exploring Operation: 37-33=4, Resulting Numbers: [4]
4,82 unequal: No Solution
Exploring Operation: 37*33=1221, Resulting Numbers: [1221]
1221,82 unequal: No Solution
Exploring Operation: 37+33=70, Resulting Numbers: [70]
70,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 82:[31, 39], Operations: ['59-28=31', '37+2=39']
Exploring Operation: 39-31=8, Resulting Numbers: [8]
8,82 unequal: No Solution
Exploring Operation: 31+39=70, Resulting Numbers: [70]
70,82 unequal: No Solution
Exploring Operation: 31*39=1209, Resulting Numbers: [1209]
1209,82 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: 82:[59, 2, 9], Operations: ['37-28=9']
Exploring Operation: 59-9=50, Resulting Numbers: [2, 50]
Generated Node #0,1,0: 82:[2, 50] Operation: 59-9=50
Exploring Operation: 59-2=57, Resulting Numbers: [9, 57]
Generated Node #0,1,1: 82:[9, 57] Operation: 59-2=57
Exploring Operation: 59+9=68, Resulting Numbers: [2, 68]
Generated Node #0,1,2: 82:[2, 68] Operation: 59+9=68
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 82:[2, 50], Operations: ['37-28=9', '59-9=50']
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,82 unequal: No Solution
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,82 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 82:[2, 68], Operations: ['37-28=9', '59+9=68']
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,82 unequal: No Solution
Exploring Operation: 2+68=70, Resulting Numbers: [70]
70,82 unequal: No Solution
Exploring Operation: 68-2=66, Resulting Numbers: [66]
66,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 82:[9, 57], Operations: ['37-28=9', '59-2=57']
Exploring Operation: 9*57=513, Resulting Numbers: [513]
513,82 unequal: No Solution
Exploring Operation: 57-9=48, Resulting Numbers: [48]
48,82 unequal: No Solution
Exploring Operation: 9+57=66, Resulting Numbers: [66]
66,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 82:[37, 85], Operations: ['59+28=87', '87-2=85']
Exploring Operation: 37*85=3145, Resulting Numbers: [3145]
3145,82 unequal: No Solution
Exploring Operation: 85-37=48, Resulting Numbers: [48]
48,82 unequal: No Solution
Exploring Operation: 37+85=122, Resulting Numbers: [122]
122,82 unequal: No Solution
Moving to Node #0,2,2
Current State: 82:[87, 39], Operations: ['59+28=87', '37+2=39']
Exploring Operation: 87+39=126, Resulting Numbers: [126]
126,82 unequal: No Solution
Exploring Operation: 87-39=48, Resulting Numbers: [48]
48,82 unequal: No Solution
Exploring Operation: 87*39=3393, Resulting Numbers: [3393]
3393,82 unequal: No Solution
Moving to Node #0,2,1
Current State: 82:[2, 50], Operations: ['59+28=87', '87-37=50']
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,82 unequal: No Solution
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,82 unequal: No Solution
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,82 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
13,
12,
68,
16
] | 72 | [
"13*12=156",
"68+16=84",
"156-84=72"
] | Current State: 72:[13, 12, 68, 16], Operations: []
Exploring Operation: 13*12=156, Resulting Numbers: [68, 16, 156]
Generated Node #2: [68, 16, 156] from Operation: 13*12=156
Current State: 72:[68, 16, 156], Operations: ['13*12=156']
Exploring Operation: 68+16=84, Resulting Numbers: [156, 84]
Generated Node #3: [156, 84] from Operation: 68+16=84
Current State: 72:[156, 84], Operations: ['13*12=156', '68+16=84']
Exploring Operation: 156-84=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[13, 12, 68, 16], Operations: []
Exploring Operation: 13+16=29, Resulting Numbers: [12, 68, 29]
Generated Node #0,0: 72:[12, 68, 29] Operation: 13+16=29
Exploring Operation: 16-12=4, Resulting Numbers: [13, 68, 4]
Generated Node #0,1: 72:[13, 68, 4] Operation: 16-12=4
Exploring Operation: 13-12=1, Resulting Numbers: [68, 16, 1]
Generated Node #0,2: 72:[68, 16, 1] Operation: 13-12=1
Exploring Operation: 13+12=25, Resulting Numbers: [68, 16, 25]
Generated Node #0,3: 72:[68, 16, 25] Operation: 13+12=25
Exploring Operation: 16-13=3, Resulting Numbers: [12, 68, 3]
Generated Node #0,4: 72:[12, 68, 3] Operation: 16-13=3
Moving to Node #0,4
Current State: 72:[12, 68, 3], Operations: ['16-13=3']
Exploring Operation: 12-3=9, Resulting Numbers: [68, 9]
Generated Node #0,4,0: 72:[68, 9] Operation: 12-3=9
Exploring Operation: 68+3=71, Resulting Numbers: [12, 71]
Generated Node #0,4,1: 72:[12, 71] Operation: 68+3=71
Exploring Operation: 12+3=15, Resulting Numbers: [68, 15]
Generated Node #0,4,2: 72:[68, 15] Operation: 12+3=15
Exploring Operation: 12*3=36, Resulting Numbers: [68, 36]
Generated Node #0,4,3: 72:[68, 36] Operation: 12*3=36
Exploring Operation: 12/3=4, Resulting Numbers: [68, 4]
Generated Node #0,4,4: 72:[68, 4] Operation: 12/3=4
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 72:[12, 71], Operations: ['16-13=3', '68+3=71']
Exploring Operation: 12*71=852, Resulting Numbers: [852]
852,72 unequal: No Solution
Exploring Operation: 71-12=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Exploring Operation: 12+71=83, Resulting Numbers: [83]
83,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 72:[68, 9], Operations: ['16-13=3', '12-3=9']
Exploring Operation: 68*9=612, Resulting Numbers: [612]
612,72 unequal: No Solution
Exploring Operation: 68-9=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Exploring Operation: 68+9=77, Resulting Numbers: [77]
77,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 72:[68, 36], Operations: ['16-13=3', '12*3=36']
Exploring Operation: 68+36=104, Resulting Numbers: [104]
104,72 unequal: No Solution
Exploring Operation: 68*36=2448, Resulting Numbers: [2448]
2448,72 unequal: No Solution
Exploring Operation: 68-36=32, Resulting Numbers: [32]
32,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 72:[68, 4], Operations: ['16-13=3', '12/3=4']
Exploring Operation: 68-4=64, Resulting Numbers: [64]
64,72 unequal: No Solution
Exploring Operation: 68*4=272, Resulting Numbers: [272]
272,72 unequal: No Solution
Exploring Operation: 68+4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[13, 12, 68, 16], Operations: []
Exploring Operation: 16-13=3, Resulting Numbers: [12, 68, 3]
Generated Node #0,4: 72:[12, 68, 3] Operation: 16-13=3
Moving to Node #0,4
Current State: 72:[12, 68, 3], Operations: ['16-13=3']
Exploring Operation: 12/3=4, Resulting Numbers: [68, 4]
Generated Node #0,4,4: 72:[68, 4] Operation: 12/3=4
Moving to Node #0,4,4
Current State: 72:[68, 4], Operations: ['16-13=3', '12/3=4']
Exploring Operation: 68+4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_5 | mult_heuristic |
[
33,
40,
15,
62
] | 26 | [
"33+40=73",
"62-15=47",
"73-47=26"
] | Current State: 26:[33, 40, 15, 62], Operations: []
Exploring Operation: 33+40=73, Resulting Numbers: [15, 62, 73]
Generated Node #2: [15, 62, 73] from Operation: 33+40=73
Current State: 26:[15, 62, 73], Operations: ['33+40=73']
Exploring Operation: 62-15=47, Resulting Numbers: [73, 47]
Generated Node #3: [73, 47] from Operation: 62-15=47
Current State: 26:[73, 47], Operations: ['33+40=73', '62-15=47']
Exploring Operation: 73-47=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[33, 40, 15, 62], Operations: []
Exploring Operation: 62-40=22, Resulting Numbers: [33, 15, 22]
Generated Node #0,0: 26:[33, 15, 22] Operation: 62-40=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[33, 15, 22], Operations: ['62-40=22']
Exploring Operation: 33-22=11, Resulting Numbers: [15, 11]
Generated Node #0,0,0: 26:[15, 11] Operation: 33-22=11
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 26:[15, 11], Operations: ['62-40=22', '33-22=11']
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[33, 40, 15, 62], Operations: []
Exploring Operation: 62-40=22, Resulting Numbers: [33, 15, 22]
Generated Node #0,0: 26:[33, 15, 22] Operation: 62-40=22
Moving to Node #0,0
Current State: 26:[33, 15, 22], Operations: ['62-40=22']
Exploring Operation: 33-22=11, Resulting Numbers: [15, 11]
Generated Node #0,0,0: 26:[15, 11] Operation: 33-22=11
Moving to Node #0,0,0
Current State: 26:[15, 11], Operations: ['62-40=22', '33-22=11']
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
74,
38,
88,
2
] | 100 | [
"74+38=112",
"88+112=200",
"200/2=100"
] | Current State: 100:[74, 38, 88, 2], Operations: []
Exploring Operation: 74+38=112, Resulting Numbers: [88, 2, 112]
Generated Node #2: [88, 2, 112] from Operation: 74+38=112
Current State: 100:[88, 2, 112], Operations: ['74+38=112']
Exploring Operation: 88+112=200, Resulting Numbers: [2, 200]
Generated Node #3: [2, 200] from Operation: 88+112=200
Current State: 100:[2, 200], Operations: ['74+38=112', '88+112=200']
Exploring Operation: 200/2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[74, 38, 88, 2], Operations: []
Exploring Operation: 74+38=112, Resulting Numbers: [88, 2, 112]
Generated Node #0,0: 100:[88, 2, 112] Operation: 74+38=112
Exploring Operation: 88-74=14, Resulting Numbers: [38, 2, 14]
Generated Node #0,1: 100:[38, 2, 14] Operation: 88-74=14
Exploring Operation: 88-38=50, Resulting Numbers: [74, 2, 50]
Generated Node #0,2: 100:[74, 2, 50] Operation: 88-38=50
Exploring Operation: 74/2=37, Resulting Numbers: [38, 88, 37]
Generated Node #0,3: 100:[38, 88, 37] Operation: 74/2=37
Exploring Operation: 74-38=36, Resulting Numbers: [88, 2, 36]
Generated Node #0,4: 100:[88, 2, 36] Operation: 74-38=36
Moving to Node #0,1
Current State: 100:[38, 2, 14], Operations: ['88-74=14']
Exploring Operation: 14-2=12, Resulting Numbers: [38, 12]
Generated Node #0,1,0: 100:[38, 12] Operation: 14-2=12
Exploring Operation: 38/2=19, Resulting Numbers: [14, 19]
Generated Node #0,1,1: 100:[14, 19] Operation: 38/2=19
Exploring Operation: 38-14=24, Resulting Numbers: [2, 24]
Generated Node #0,1,2: 100:[2, 24] Operation: 38-14=24
Exploring Operation: 38+14=52, Resulting Numbers: [2, 52]
Generated Node #0,1,3: 100:[2, 52] Operation: 38+14=52
Exploring Operation: 38+2=40, Resulting Numbers: [14, 40]
Generated Node #0,1,4: 100:[14, 40] Operation: 38+2=40
Moving to Node #0,4
Current State: 100:[88, 2, 36], Operations: ['74-38=36']
Exploring Operation: 36-2=34, Resulting Numbers: [88, 34]
Generated Node #0,4,0: 100:[88, 34] Operation: 36-2=34
Exploring Operation: 88-36=52, Resulting Numbers: [2, 52]
Generated Node #0,4,1: 100:[2, 52] Operation: 88-36=52
Exploring Operation: 88/2=44, Resulting Numbers: [36, 44]
Generated Node #0,4,2: 100:[36, 44] Operation: 88/2=44
Exploring Operation: 88+2=90, Resulting Numbers: [36, 90]
Generated Node #0,4,3: 100:[36, 90] Operation: 88+2=90
Exploring Operation: 36/2=18, Resulting Numbers: [88, 18]
Generated Node #0,4,4: 100:[88, 18] Operation: 36/2=18
Moving to Node #0,0
Current State: 100:[88, 2, 112], Operations: ['74+38=112']
Exploring Operation: 112/2=56, Resulting Numbers: [88, 56]
Generated Node #0,0,0: 100:[88, 56] Operation: 112/2=56
Exploring Operation: 88/2=44, Resulting Numbers: [112, 44]
Generated Node #0,0,1: 100:[112, 44] Operation: 88/2=44
Exploring Operation: 112-88=24, Resulting Numbers: [2, 24]
Generated Node #0,0,2: 100:[2, 24] Operation: 112-88=24
Exploring Operation: 112-2=110, Resulting Numbers: [88, 110]
Generated Node #0,0,3: 100:[88, 110] Operation: 112-2=110
Exploring Operation: 88+2=90, Resulting Numbers: [112, 90]
Generated Node #0,0,4: 100:[112, 90] Operation: 88+2=90
Moving to Node #0,2
Current State: 100:[74, 2, 50], Operations: ['88-38=50']
Exploring Operation: 74+2=76, Resulting Numbers: [50, 76]
Generated Node #0,2,0: 100:[50, 76] Operation: 74+2=76
Exploring Operation: 74-50=24, Resulting Numbers: [2, 24]
Generated Node #0,2,1: 100:[2, 24] Operation: 74-50=24
Exploring Operation: 74+50=124, Resulting Numbers: [2, 124]
Generated Node #0,2,2: 100:[2, 124] Operation: 74+50=124
Exploring Operation: 74/2=37, Resulting Numbers: [50, 37]
Generated Node #0,2,3: 100:[50, 37] Operation: 74/2=37
Exploring Operation: 74-2=72, Resulting Numbers: [50, 72]
Generated Node #0,2,4: 100:[50, 72] Operation: 74-2=72
Moving to Node #0,3
Current State: 100:[38, 88, 37], Operations: ['74/2=37']
Exploring Operation: 88-37=51, Resulting Numbers: [38, 51]
Generated Node #0,3,0: 100:[38, 51] Operation: 88-37=51
Exploring Operation: 88-38=50, Resulting Numbers: [37, 50]
Generated Node #0,3,1: 100:[37, 50] Operation: 88-38=50
Exploring Operation: 88+37=125, Resulting Numbers: [38, 125]
Generated Node #0,3,2: 100:[38, 125] Operation: 88+37=125
Exploring Operation: 38-37=1, Resulting Numbers: [88, 1]
Generated Node #0,3,3: 100:[88, 1] Operation: 38-37=1
Exploring Operation: 38+37=75, Resulting Numbers: [88, 75]
Generated Node #0,3,4: 100:[88, 75] Operation: 38+37=75
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 100:[37, 50], Operations: ['74/2=37', '88-38=50']
Exploring Operation: 37+50=87, Resulting Numbers: [87]
87,100 unequal: No Solution
Exploring Operation: 50-37=13, Resulting Numbers: [13]
13,100 unequal: No Solution
Exploring Operation: 37*50=1850, Resulting Numbers: [1850]
1850,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 100:[38, 51], Operations: ['74/2=37', '88-37=51']
Exploring Operation: 38*51=1938, Resulting Numbers: [1938]
1938,100 unequal: No Solution
Exploring Operation: 38+51=89, Resulting Numbers: [89]
89,100 unequal: No Solution
Exploring Operation: 51-38=13, Resulting Numbers: [13]
13,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 100:[88, 1], Operations: ['74/2=37', '38-37=1']
Exploring Operation: 88/1=88, Resulting Numbers: [88]
88,100 unequal: No Solution
Exploring Operation: 88-1=87, Resulting Numbers: [87]
87,100 unequal: No Solution
Exploring Operation: 88*1=88, Resulting Numbers: [88]
88,100 unequal: No Solution
Exploring Operation: 88+1=89, Resulting Numbers: [89]
89,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 100:[38, 125], Operations: ['74/2=37', '88+37=125']
Exploring Operation: 125-38=87, Resulting Numbers: [87]
87,100 unequal: No Solution
Exploring Operation: 38*125=4750, Resulting Numbers: [4750]
4750,100 unequal: No Solution
Exploring Operation: 38+125=163, Resulting Numbers: [163]
163,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 100:[88, 75], Operations: ['74/2=37', '38+37=75']
Exploring Operation: 88-75=13, Resulting Numbers: [13]
13,100 unequal: No Solution
Exploring Operation: 88*75=6600, Resulting Numbers: [6600]
6600,100 unequal: No Solution
Exploring Operation: 88+75=163, Resulting Numbers: [163]
163,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 100:[2, 24], Operations: ['88-74=14', '38-14=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,100 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,100 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,100 unequal: No Solution
Moving to Node #0,0,2
Current State: 100:[2, 24], Operations: ['74+38=112', '112-88=24']
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,100 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,100 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,100 unequal: No Solution
Moving to Node #0,2,1
Current State: 100:[2, 24], Operations: ['88-38=50', '74-50=24']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,100 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,100 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,100 unequal: No Solution
Moving to Node #0,4,1
Current State: 100:[2, 52], Operations: ['74-38=36', '88-36=52']
Exploring Operation: 2*52=104, Resulting Numbers: [104]
104,100 unequal: No Solution
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,100 unequal: No Solution
Exploring Operation: 2+52=54, Resulting Numbers: [54]
54,100 unequal: No Solution
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,100 unequal: No Solution
Moving to Node #0,1,3
Current State: 100:[2, 52], Operations: ['88-74=14', '38+14=52']
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,100 unequal: No Solution
Exploring Operation: 2+52=54, Resulting Numbers: [54]
54,100 unequal: No Solution
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,100 unequal: No Solution
Exploring Operation: 2*52=104, Resulting Numbers: [104]
104,100 unequal: No Solution
Moving to Node #0,1,1
Current State: 100:[14, 19], Operations: ['88-74=14', '38/2=19']
Exploring Operation: 14+19=33, Resulting Numbers: [33]
33,100 unequal: No Solution
Exploring Operation: 14*19=266, Resulting Numbers: [266]
266,100 unequal: No Solution
Exploring Operation: 19-14=5, Resulting Numbers: [5]
5,100 unequal: No Solution
Moving to Node #0,2,3
Current State: 100:[50, 37], Operations: ['88-38=50', '74/2=37']
Exploring Operation: 50+37=87, Resulting Numbers: [87]
87,100 unequal: No Solution
Exploring Operation: 50*37=1850, Resulting Numbers: [1850]
1850,100 unequal: No Solution
Exploring Operation: 50-37=13, Resulting Numbers: [13]
13,100 unequal: No Solution
Moving to Node #0,4,4
Current State: 100:[88, 18], Operations: ['74-38=36', '36/2=18']
Exploring Operation: 88-18=70, Resulting Numbers: [70]
70,100 unequal: No Solution
Exploring Operation: 88+18=106, Resulting Numbers: [106]
106,100 unequal: No Solution
Exploring Operation: 88*18=1584, Resulting Numbers: [1584]
1584,100 unequal: No Solution
Moving to Node #0,1,4
Current State: 100:[14, 40], Operations: ['88-74=14', '38+2=40']
Exploring Operation: 40-14=26, Resulting Numbers: [26]
26,100 unequal: No Solution
Exploring Operation: 14*40=560, Resulting Numbers: [560]
560,100 unequal: No Solution
Exploring Operation: 14+40=54, Resulting Numbers: [54]
54,100 unequal: No Solution
Moving to Node #0,1,0
Current State: 100:[38, 12], Operations: ['88-74=14', '14-2=12']
Exploring Operation: 38+12=50, Resulting Numbers: [50]
50,100 unequal: No Solution
Exploring Operation: 38-12=26, Resulting Numbers: [26]
26,100 unequal: No Solution
Exploring Operation: 38*12=456, Resulting Numbers: [456]
456,100 unequal: No Solution
Moving to Node #0,4,2
Current State: 100:[36, 44], Operations: ['74-38=36', '88/2=44']
Exploring Operation: 36*44=1584, Resulting Numbers: [1584]
1584,100 unequal: No Solution
Exploring Operation: 44-36=8, Resulting Numbers: [8]
8,100 unequal: No Solution
Exploring Operation: 36+44=80, Resulting Numbers: [80]
80,100 unequal: No Solution
Moving to Node #0,0,1
Current State: 100:[112, 44], Operations: ['74+38=112', '88/2=44']
Exploring Operation: 112-44=68, Resulting Numbers: [68]
68,100 unequal: No Solution
Exploring Operation: 112*44=4928, Resulting Numbers: [4928]
4928,100 unequal: No Solution
Exploring Operation: 112+44=156, Resulting Numbers: [156]
156,100 unequal: No Solution
Moving to Node #0,0,0
Current State: 100:[88, 56], Operations: ['74+38=112', '112/2=56']
Exploring Operation: 88*56=4928, Resulting Numbers: [4928]
4928,100 unequal: No Solution
Exploring Operation: 88-56=32, Resulting Numbers: [32]
32,100 unequal: No Solution
Exploring Operation: 88+56=144, Resulting Numbers: [144]
144,100 unequal: No Solution
Moving to Node #0,4,3
Current State: 100:[36, 90], Operations: ['74-38=36', '88+2=90']
Exploring Operation: 36*90=3240, Resulting Numbers: [3240]
3240,100 unequal: No Solution
Exploring Operation: 90-36=54, Resulting Numbers: [54]
54,100 unequal: No Solution
Exploring Operation: 36+90=126, Resulting Numbers: [126]
126,100 unequal: No Solution
Moving to Node #0,4,0
Current State: 100:[88, 34], Operations: ['74-38=36', '36-2=34']
Exploring Operation: 88*34=2992, Resulting Numbers: [2992]
2992,100 unequal: No Solution
Exploring Operation: 88+34=122, Resulting Numbers: [122]
122,100 unequal: No Solution
Exploring Operation: 88-34=54, Resulting Numbers: [54]
54,100 unequal: No Solution
Moving to Node #0,0,4
Current State: 100:[112, 90], Operations: ['74+38=112', '88+2=90']
Exploring Operation: 112+90=202, Resulting Numbers: [202]
202,100 unequal: No Solution
Exploring Operation: 112-90=22, Resulting Numbers: [22]
22,100 unequal: No Solution
Exploring Operation: 112*90=10080, Resulting Numbers: [10080]
10080,100 unequal: No Solution
Moving to Node #0,2,4
Current State: 100:[50, 72], Operations: ['88-38=50', '74-2=72']
Exploring Operation: 72-50=22, Resulting Numbers: [22]
22,100 unequal: No Solution
Exploring Operation: 50*72=3600, Resulting Numbers: [3600]
3600,100 unequal: No Solution
Exploring Operation: 50+72=122, Resulting Numbers: [122]
122,100 unequal: No Solution
Moving to Node #0,0,3
Current State: 100:[88, 110], Operations: ['74+38=112', '112-2=110']
Exploring Operation: 110-88=22, Resulting Numbers: [22]
22,100 unequal: No Solution
Exploring Operation: 88*110=9680, Resulting Numbers: [9680]
9680,100 unequal: No Solution
Exploring Operation: 88+110=198, Resulting Numbers: [198]
198,100 unequal: No Solution
Moving to Node #0,2,2
Current State: 100:[2, 124], Operations: ['88-38=50', '74+50=124']
Exploring Operation: 2+124=126, Resulting Numbers: [126]
126,100 unequal: No Solution
Exploring Operation: 124-2=122, Resulting Numbers: [122]
122,100 unequal: No Solution
Exploring Operation: 124/2=62, Resulting Numbers: [62]
62,100 unequal: No Solution
Exploring Operation: 2*124=248, Resulting Numbers: [248]
248,100 unequal: No Solution
Moving to Node #0,2,0
Current State: 100:[50, 76], Operations: ['88-38=50', '74+2=76']
Exploring Operation: 50+76=126, Resulting Numbers: [126]
126,100 unequal: No Solution
Exploring Operation: 76-50=26, Resulting Numbers: [26]
26,100 unequal: No Solution
Exploring Operation: 50*76=3800, Resulting Numbers: [3800]
3800,100 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
66,
4,
17,
31
] | 41 | [
"66+17=83",
"4*31=124",
"124-83=41"
] | Current State: 41:[66, 4, 17, 31], Operations: []
Exploring Operation: 66+17=83, Resulting Numbers: [4, 31, 83]
Generated Node #2: [4, 31, 83] from Operation: 66+17=83
Current State: 41:[4, 31, 83], Operations: ['66+17=83']
Exploring Operation: 4*31=124, Resulting Numbers: [83, 124]
Generated Node #3: [83, 124] from Operation: 4*31=124
Current State: 41:[83, 124], Operations: ['66+17=83', '4*31=124']
Exploring Operation: 124-83=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[66, 4, 17, 31], Operations: []
Exploring Operation: 4+17=21, Resulting Numbers: [66, 31, 21]
Generated Node #0,0: 41:[66, 31, 21] Operation: 4+17=21
Exploring Operation: 4+31=35, Resulting Numbers: [66, 17, 35]
Generated Node #0,1: 41:[66, 17, 35] Operation: 4+31=35
Exploring Operation: 66-17=49, Resulting Numbers: [4, 31, 49]
Generated Node #0,2: 41:[4, 31, 49] Operation: 66-17=49
Exploring Operation: 66-4=62, Resulting Numbers: [17, 31, 62]
Generated Node #0,3: 41:[17, 31, 62] Operation: 66-4=62
Moving to Node #0,0
Current State: 41:[66, 31, 21], Operations: ['4+17=21']
Exploring Operation: 31+21=52, Resulting Numbers: [66, 52]
Generated Node #0,0,0: 41:[66, 52] Operation: 31+21=52
Exploring Operation: 66-31=35, Resulting Numbers: [21, 35]
Generated Node #0,0,1: 41:[21, 35] Operation: 66-31=35
Exploring Operation: 66+21=87, Resulting Numbers: [31, 87]
Generated Node #0,0,2: 41:[31, 87] Operation: 66+21=87
Exploring Operation: 66-21=45, Resulting Numbers: [31, 45]
Generated Node #0,0,3: 41:[31, 45] Operation: 66-21=45
Moving to Node #0,2
Current State: 41:[4, 31, 49], Operations: ['66-17=49']
Exploring Operation: 4+49=53, Resulting Numbers: [31, 53]
Generated Node #0,2,0: 41:[31, 53] Operation: 4+49=53
Exploring Operation: 4+31=35, Resulting Numbers: [49, 35]
Generated Node #0,2,1: 41:[49, 35] Operation: 4+31=35
Exploring Operation: 31-4=27, Resulting Numbers: [49, 27]
Generated Node #0,2,2: 41:[49, 27] Operation: 31-4=27
Exploring Operation: 49-4=45, Resulting Numbers: [31, 45]
Generated Node #0,2,3: 41:[31, 45] Operation: 49-4=45
Moving to Node #0,1
Current State: 41:[66, 17, 35], Operations: ['4+31=35']
Exploring Operation: 66-35=31, Resulting Numbers: [17, 31]
Generated Node #0,1,0: 41:[17, 31] Operation: 66-35=31
Exploring Operation: 17+35=52, Resulting Numbers: [66, 52]
Generated Node #0,1,1: 41:[66, 52] Operation: 17+35=52
Exploring Operation: 66+17=83, Resulting Numbers: [35, 83]
Generated Node #0,1,2: 41:[35, 83] Operation: 66+17=83
Exploring Operation: 66-17=49, Resulting Numbers: [35, 49]
Generated Node #0,1,3: 41:[35, 49] Operation: 66-17=49
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 41:[35, 49], Operations: ['4+31=35', '66-17=49']
Exploring Operation: 35*49=1715, Resulting Numbers: [1715]
1715,41 unequal: No Solution
Exploring Operation: 49-35=14, Resulting Numbers: [14]
14,41 unequal: No Solution
Exploring Operation: 35+49=84, Resulting Numbers: [84]
84,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 41:[17, 31], Operations: ['4+31=35', '66-35=31']
Exploring Operation: 17+31=48, Resulting Numbers: [48]
48,41 unequal: No Solution
Exploring Operation: 31-17=14, Resulting Numbers: [14]
14,41 unequal: No Solution
Exploring Operation: 17*31=527, Resulting Numbers: [527]
527,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 41:[66, 52], Operations: ['4+31=35', '17+35=52']
Exploring Operation: 66-52=14, Resulting Numbers: [14]
14,41 unequal: No Solution
Exploring Operation: 66*52=3432, Resulting Numbers: [3432]
3432,41 unequal: No Solution
Exploring Operation: 66+52=118, Resulting Numbers: [118]
118,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 41:[35, 83], Operations: ['4+31=35', '66+17=83']
Exploring Operation: 35*83=2905, Resulting Numbers: [2905]
2905,41 unequal: No Solution
Exploring Operation: 35+83=118, Resulting Numbers: [118]
118,41 unequal: No Solution
Exploring Operation: 83-35=48, Resulting Numbers: [48]
48,41 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: 41:[17, 31, 62], Operations: ['66-4=62']
Exploring Operation: 62-31=31, Resulting Numbers: [17, 31]
Generated Node #0,3,0: 41:[17, 31] Operation: 62-31=31
Exploring Operation: 17+31=48, Resulting Numbers: [62, 48]
Generated Node #0,3,1: 41:[62, 48] Operation: 17+31=48
Exploring Operation: 31-17=14, Resulting Numbers: [62, 14]
Generated Node #0,3,2: 41:[62, 14] Operation: 31-17=14
Exploring Operation: 62-17=45, Resulting Numbers: [31, 45]
Generated Node #0,3,3: 41:[31, 45] Operation: 62-17=45
Moving to Node #0,0,3
Current State: 41:[31, 45], Operations: ['4+17=21', '66-21=45']
Exploring Operation: 31*45=1395, Resulting Numbers: [1395]
1395,41 unequal: No Solution
Exploring Operation: 45-31=14, Resulting Numbers: [14]
14,41 unequal: No Solution
Exploring Operation: 31+45=76, Resulting Numbers: [76]
76,41 unequal: No Solution
Moving to Node #0,2,3
Current State: 41:[31, 45], Operations: ['66-17=49', '49-4=45']
Exploring Operation: 45-31=14, Resulting Numbers: [14]
14,41 unequal: No Solution
Exploring Operation: 31*45=1395, Resulting Numbers: [1395]
1395,41 unequal: No Solution
Exploring Operation: 31+45=76, Resulting Numbers: [76]
76,41 unequal: No Solution
Moving to Node #0,2,1
Current State: 41:[49, 35], Operations: ['66-17=49', '4+31=35']
Exploring Operation: 49-35=14, Resulting Numbers: [14]
14,41 unequal: No Solution
Exploring Operation: 49*35=1715, Resulting Numbers: [1715]
1715,41 unequal: No Solution
Exploring Operation: 49+35=84, Resulting Numbers: [84]
84,41 unequal: No Solution
Moving to Node #0,3,3
Current State: 41:[31, 45], Operations: ['66-4=62', '62-17=45']
Exploring Operation: 31+45=76, Resulting Numbers: [76]
76,41 unequal: No Solution
Exploring Operation: 31*45=1395, Resulting Numbers: [1395]
1395,41 unequal: No Solution
Exploring Operation: 45-31=14, Resulting Numbers: [14]
14,41 unequal: No Solution
Moving to Node #0,2,0
Current State: 41:[31, 53], Operations: ['66-17=49', '4+49=53']
Exploring Operation: 31+53=84, Resulting Numbers: [84]
84,41 unequal: No Solution
Exploring Operation: 53-31=22, Resulting Numbers: [22]
22,41 unequal: No Solution
Exploring Operation: 31*53=1643, Resulting Numbers: [1643]
1643,41 unequal: No Solution
Moving to Node #0,2,2
Current State: 41:[49, 27], Operations: ['66-17=49', '31-4=27']
Exploring Operation: 49-27=22, Resulting Numbers: [22]
22,41 unequal: No Solution
Exploring Operation: 49+27=76, Resulting Numbers: [76]
76,41 unequal: No Solution
Exploring Operation: 49*27=1323, Resulting Numbers: [1323]
1323,41 unequal: No Solution
Moving to Node #0,0,1
Current State: 41:[21, 35], Operations: ['4+17=21', '66-31=35']
Exploring Operation: 21+35=56, Resulting Numbers: [56]
56,41 unequal: No Solution
Exploring Operation: 35-21=14, Resulting Numbers: [14]
14,41 unequal: No Solution
Exploring Operation: 21*35=735, Resulting Numbers: [735]
735,41 unequal: No Solution
Moving to Node #0,3,1
Current State: 41:[62, 48], Operations: ['66-4=62', '17+31=48']
Exploring Operation: 62+48=110, Resulting Numbers: [110]
110,41 unequal: No Solution
Exploring Operation: 62*48=2976, Resulting Numbers: [2976]
2976,41 unequal: No Solution
Exploring Operation: 62-48=14, Resulting Numbers: [14]
14,41 unequal: No Solution
Moving to Node #0,3,0
Current State: 41:[17, 31], Operations: ['66-4=62', '62-31=31']
Exploring Operation: 31-17=14, Resulting Numbers: [14]
14,41 unequal: No Solution
Exploring Operation: 17*31=527, Resulting Numbers: [527]
527,41 unequal: No Solution
Exploring Operation: 17+31=48, Resulting Numbers: [48]
48,41 unequal: No Solution
Moving to Node #0,0,0
Current State: 41:[66, 52], Operations: ['4+17=21', '31+21=52']
Exploring Operation: 66-52=14, Resulting Numbers: [14]
14,41 unequal: No Solution
Exploring Operation: 66+52=118, Resulting Numbers: [118]
118,41 unequal: No Solution
Exploring Operation: 66*52=3432, Resulting Numbers: [3432]
3432,41 unequal: No Solution
Moving to Node #0,3,2
Current State: 41:[62, 14], Operations: ['66-4=62', '31-17=14']
Exploring Operation: 62+14=76, Resulting Numbers: [76]
76,41 unequal: No Solution
Exploring Operation: 62*14=868, Resulting Numbers: [868]
868,41 unequal: No Solution
Exploring Operation: 62-14=48, Resulting Numbers: [48]
48,41 unequal: No Solution
Moving to Node #0,0,2
Current State: 41:[31, 87], Operations: ['4+17=21', '66+21=87']
Exploring Operation: 31*87=2697, Resulting Numbers: [2697]
2697,41 unequal: No Solution
Exploring Operation: 87-31=56, Resulting Numbers: [56]
56,41 unequal: No Solution
Exploring Operation: 31+87=118, Resulting Numbers: [118]
118,41 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
36,
8,
61,
68
] | 37 | [
"36+8=44",
"68-61=7",
"44-7=37"
] | Current State: 37:[36, 8, 61, 68], Operations: []
Exploring Operation: 36+8=44, Resulting Numbers: [61, 68, 44]
Generated Node #2: [61, 68, 44] from Operation: 36+8=44
Current State: 37:[61, 68, 44], Operations: ['36+8=44']
Exploring Operation: 68-61=7, Resulting Numbers: [44, 7]
Generated Node #3: [44, 7] from Operation: 68-61=7
Current State: 37:[44, 7], Operations: ['36+8=44', '68-61=7']
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[36, 8, 61, 68], Operations: []
Exploring Operation: 61-8=53, Resulting Numbers: [36, 68, 53]
Generated Node #0,0: 37:[36, 68, 53] Operation: 61-8=53
Exploring Operation: 68-8=60, Resulting Numbers: [36, 61, 60]
Generated Node #0,1: 37:[36, 61, 60] Operation: 68-8=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[36, 68, 53], Operations: ['61-8=53']
Exploring Operation: 68-53=15, Resulting Numbers: [36, 15]
Generated Node #0,0,0: 37:[36, 15] Operation: 68-53=15
Exploring Operation: 68-36=32, Resulting Numbers: [53, 32]
Generated Node #0,0,1: 37:[53, 32] Operation: 68-36=32
Moving to Node #0,0,1
Current State: 37:[53, 32], Operations: ['61-8=53', '68-36=32']
Exploring Operation: 53-32=21, Resulting Numbers: [21]
21,37 unequal: No Solution
Exploring Operation: 53+32=85, Resulting Numbers: [85]
85,37 unequal: No Solution
Moving to Node #0,0,0
Current State: 37:[36, 15], Operations: ['61-8=53', '68-53=15']
Exploring Operation: 36+15=51, Resulting Numbers: [51]
51,37 unequal: No Solution
Exploring Operation: 36-15=21, Resulting Numbers: [21]
21,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[36, 61, 60], Operations: ['68-8=60']
Exploring Operation: 61-36=25, Resulting Numbers: [60, 25]
Generated Node #0,1,0: 37:[60, 25] Operation: 61-36=25
Exploring Operation: 60-36=24, Resulting Numbers: [61, 24]
Generated Node #0,1,1: 37:[61, 24] Operation: 60-36=24
Moving to Node #0,1,0
Current State: 37:[60, 25], Operations: ['68-8=60', '61-36=25']
Exploring Operation: 60+25=85, Resulting Numbers: [85]
85,37 unequal: No Solution
Exploring Operation: 60-25=35, Resulting Numbers: [35]
35,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[61, 24], Operations: ['68-8=60', '60-36=24']
Exploring Operation: 61-24=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[36, 8, 61, 68], Operations: []
Exploring Operation: 68-8=60, Resulting Numbers: [36, 61, 60]
Generated Node #0,1: 37:[36, 61, 60] Operation: 68-8=60
Moving to Node #0,1
Current State: 37:[36, 61, 60], Operations: ['68-8=60']
Exploring Operation: 60-36=24, Resulting Numbers: [61, 24]
Generated Node #0,1,1: 37:[61, 24] Operation: 60-36=24
Moving to Node #0,1,1
Current State: 37:[61, 24], Operations: ['68-8=60', '60-36=24']
Exploring Operation: 61-24=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_2 | mult_heuristic |
[
4,
11,
40,
84
] | 59 | [
"4+11=15",
"84-40=44",
"15+44=59"
] | Current State: 59:[4, 11, 40, 84], Operations: []
Exploring Operation: 4+11=15, Resulting Numbers: [40, 84, 15]
Generated Node #2: [40, 84, 15] from Operation: 4+11=15
Current State: 59:[40, 84, 15], Operations: ['4+11=15']
Exploring Operation: 84-40=44, Resulting Numbers: [15, 44]
Generated Node #3: [15, 44] from Operation: 84-40=44
Current State: 59:[15, 44], Operations: ['4+11=15', '84-40=44']
Exploring Operation: 15+44=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[4, 11, 40, 84], Operations: []
Exploring Operation: 4*11=44, Resulting Numbers: [40, 84, 44]
Generated Node #0,0: 59:[40, 84, 44] Operation: 4*11=44
Moving to Node #0,0
Current State: 59:[40, 84, 44], Operations: ['4*11=44']
Exploring Operation: 84-40=44, Resulting Numbers: [44, 44]
Generated Node #0,0,0: 59:[44, 44] Operation: 84-40=44
Moving to Node #0,0,0
Current State: 59:[44, 44], Operations: ['4*11=44', '84-40=44']
Exploring Operation: 44+44=88, Resulting Numbers: [88]
88,59 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
28,
15,
36,
40
] | 52 | [
"28-15=13",
"40-36=4",
"13*4=52"
] | Current State: 52:[28, 15, 36, 40], Operations: []
Exploring Operation: 28-15=13, Resulting Numbers: [36, 40, 13]
Generated Node #2: [36, 40, 13] from Operation: 28-15=13
Current State: 52:[36, 40, 13], Operations: ['28-15=13']
Exploring Operation: 40-36=4, Resulting Numbers: [13, 4]
Generated Node #3: [13, 4] from Operation: 40-36=4
Current State: 52:[13, 4], Operations: ['28-15=13', '40-36=4']
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[28, 15, 36, 40], Operations: []
Exploring Operation: 40-28=12, Resulting Numbers: [15, 36, 12]
Generated Node #0,0: 52:[15, 36, 12] Operation: 40-28=12
Exploring Operation: 40-36=4, Resulting Numbers: [28, 15, 4]
Generated Node #0,1: 52:[28, 15, 4] Operation: 40-36=4
Exploring Operation: 40-15=25, Resulting Numbers: [28, 36, 25]
Generated Node #0,2: 52:[28, 36, 25] Operation: 40-15=25
Moving to Node #0,1
Current State: 52:[28, 15, 4], Operations: ['40-36=4']
Exploring Operation: 28-4=24, Resulting Numbers: [15, 24]
Generated Node #0,1,0: 52:[15, 24] Operation: 28-4=24
Exploring Operation: 15-4=11, Resulting Numbers: [28, 11]
Generated Node #0,1,1: 52:[28, 11] Operation: 15-4=11
Exploring Operation: 28-15=13, Resulting Numbers: [4, 13]
Generated Node #0,1,2: 52:[4, 13] Operation: 28-15=13
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 52:[4, 13], Operations: ['40-36=4', '28-15=13']
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[28, 15, 36, 40], Operations: []
Exploring Operation: 40-36=4, Resulting Numbers: [28, 15, 4]
Generated Node #0,1: 52:[28, 15, 4] Operation: 40-36=4
Moving to Node #0,1
Current State: 52:[28, 15, 4], Operations: ['40-36=4']
Exploring Operation: 28-15=13, Resulting Numbers: [4, 13]
Generated Node #0,1,2: 52:[4, 13] Operation: 28-15=13
Moving to Node #0,1,2
Current State: 52:[4, 13], Operations: ['40-36=4', '28-15=13']
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
6,
12,
15,
90
] | 73 | [
"12/6=2",
"90-15=75",
"75-2=73"
] | Current State: 73:[6, 12, 15, 90], Operations: []
Exploring Operation: 12/6=2, Resulting Numbers: [15, 90, 2]
Generated Node #2: [15, 90, 2] from Operation: 12/6=2
Current State: 73:[15, 90, 2], Operations: ['12/6=2']
Exploring Operation: 90-15=75, Resulting Numbers: [2, 75]
Generated Node #3: [2, 75] from Operation: 90-15=75
Current State: 73:[2, 75], Operations: ['12/6=2', '90-15=75']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[6, 12, 15, 90], Operations: []
Exploring Operation: 6*12=72, Resulting Numbers: [15, 90, 72]
Generated Node #0,0: 73:[15, 90, 72] Operation: 6*12=72
Exploring Operation: 6+12=18, Resulting Numbers: [15, 90, 18]
Generated Node #0,1: 73:[15, 90, 18] Operation: 6+12=18
Exploring Operation: 6*15=90, Resulting Numbers: [12, 90, 90]
Generated Node #0,2: 73:[12, 90, 90] Operation: 6*15=90
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[15, 90, 72], Operations: ['6*12=72']
Exploring Operation: 15+72=87, Resulting Numbers: [90, 87]
Generated Node #0,0,0: 73:[90, 87] Operation: 15+72=87
Exploring Operation: 15+90=105, Resulting Numbers: [72, 105]
Generated Node #0,0,1: 73:[72, 105] Operation: 15+90=105
Exploring Operation: 90-15=75, Resulting Numbers: [72, 75]
Generated Node #0,0,2: 73:[72, 75] Operation: 90-15=75
Moving to Node #0,0,2
Current State: 73:[72, 75], Operations: ['6*12=72', '90-15=75']
Exploring Operation: 72*75=5400, Resulting Numbers: [5400]
5400,73 unequal: No Solution
Exploring Operation: 72+75=147, Resulting Numbers: [147]
147,73 unequal: No Solution
Exploring Operation: 75-72=3, Resulting Numbers: [3]
3,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[90, 87], Operations: ['6*12=72', '15+72=87']
Exploring Operation: 90*87=7830, Resulting Numbers: [7830]
7830,73 unequal: No Solution
Exploring Operation: 90-87=3, Resulting Numbers: [3]
3,73 unequal: No Solution
Exploring Operation: 90+87=177, Resulting Numbers: [177]
177,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[72, 105], Operations: ['6*12=72', '15+90=105']
Exploring Operation: 72+105=177, Resulting Numbers: [177]
177,73 unequal: No Solution
Exploring Operation: 105-72=33, Resulting Numbers: [33]
33,73 unequal: No Solution
Exploring Operation: 72*105=7560, Resulting Numbers: [7560]
7560,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 73:[12, 90, 90], Operations: ['6*15=90']
Exploring Operation: 90-12=78, Resulting Numbers: [90, 78]
Generated Node #0,2,0: 73:[90, 78] Operation: 90-12=78
Exploring Operation: 90-12=78, Resulting Numbers: [90, 78]
Generated Node #0,2,1: 73:[90, 78] Operation: 90-12=78
Exploring Operation: 12+90=102, Resulting Numbers: [90, 102]
Generated Node #0,2,2: 73:[90, 102] Operation: 12+90=102
Moving to Node #0,2,0
Current State: 73:[90, 78], Operations: ['6*15=90', '90-12=78']
Exploring Operation: 90-78=12, Resulting Numbers: [12]
12,73 unequal: No Solution
Exploring Operation: 90*78=7020, Resulting Numbers: [7020]
7020,73 unequal: No Solution
Exploring Operation: 90+78=168, Resulting Numbers: [168]
168,73 unequal: No Solution
Moving to Node #0,2,1
Current State: 73:[90, 78], Operations: ['6*15=90', '90-12=78']
Exploring Operation: 90+78=168, Resulting Numbers: [168]
168,73 unequal: No Solution
Exploring Operation: 90*78=7020, Resulting Numbers: [7020]
7020,73 unequal: No Solution
Exploring Operation: 90-78=12, Resulting Numbers: [12]
12,73 unequal: No Solution
Moving to Node #0,2,2
Current State: 73:[90, 102], Operations: ['6*15=90', '12+90=102']
Exploring Operation: 90+102=192, Resulting Numbers: [192]
192,73 unequal: No Solution
Exploring Operation: 102-90=12, Resulting Numbers: [12]
12,73 unequal: No Solution
Exploring Operation: 90*102=9180, Resulting Numbers: [9180]
9180,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[15, 90, 18], Operations: ['6+12=18']
Exploring Operation: 15+18=33, Resulting Numbers: [90, 33]
Generated Node #0,1,0: 73:[90, 33] Operation: 15+18=33
Exploring Operation: 90-15=75, Resulting Numbers: [18, 75]
Generated Node #0,1,1: 73:[18, 75] Operation: 90-15=75
Exploring Operation: 90-18=72, Resulting Numbers: [15, 72]
Generated Node #0,1,2: 73:[15, 72] Operation: 90-18=72
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 73:[90, 33], Operations: ['6+12=18', '15+18=33']
Exploring Operation: 90*33=2970, Resulting Numbers: [2970]
2970,73 unequal: No Solution
Exploring Operation: 90+33=123, Resulting Numbers: [123]
123,73 unequal: No Solution
Exploring Operation: 90-33=57, Resulting Numbers: [57]
57,73 unequal: No Solution
No 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: 73:[18, 75], Operations: ['6+12=18', '90-15=75']
Exploring Operation: 18+75=93, Resulting Numbers: [93]
93,73 unequal: No Solution
Exploring Operation: 18*75=1350, Resulting Numbers: [1350]
1350,73 unequal: No Solution
Exploring Operation: 75-18=57, Resulting Numbers: [57]
57,73 unequal: No Solution
No 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: 73:[15, 72], Operations: ['6+12=18', '90-18=72']
Exploring Operation: 72-15=57, Resulting Numbers: [57]
57,73 unequal: No Solution
Exploring Operation: 15+72=87, Resulting Numbers: [87]
87,73 unequal: No Solution
Exploring Operation: 15*72=1080, Resulting Numbers: [1080]
1080,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
40,
34,
36,
23
] | 17 | [
"40-34=6",
"36/6=6",
"23-6=17"
] | Current State: 17:[40, 34, 36, 23], Operations: []
Exploring Operation: 40-34=6, Resulting Numbers: [36, 23, 6]
Generated Node #2: [36, 23, 6] from Operation: 40-34=6
Current State: 17:[36, 23, 6], Operations: ['40-34=6']
Exploring Operation: 36/6=6, Resulting Numbers: [23, 6]
Generated Node #3: [23, 6] from Operation: 36/6=6
Current State: 17:[23, 6], Operations: ['40-34=6', '36/6=6']
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[40, 34, 36, 23], Operations: []
Exploring Operation: 40-23=17, Resulting Numbers: [34, 36, 17]
Generated Node #0,0: 17:[34, 36, 17] Operation: 40-23=17
Exploring Operation: 40-36=4, Resulting Numbers: [34, 23, 4]
Generated Node #0,1: 17:[34, 23, 4] Operation: 40-36=4
Exploring Operation: 36-34=2, Resulting Numbers: [40, 23, 2]
Generated Node #0,2: 17:[40, 23, 2] Operation: 36-34=2
Exploring Operation: 36-23=13, Resulting Numbers: [40, 34, 13]
Generated Node #0,3: 17:[40, 34, 13] Operation: 36-23=13
Exploring Operation: 40-34=6, Resulting Numbers: [36, 23, 6]
Generated Node #0,4: 17:[36, 23, 6] Operation: 40-34=6
Moving to Node #0,0
Current State: 17:[34, 36, 17], Operations: ['40-23=17']
Exploring Operation: 34/17=2, Resulting Numbers: [36, 2]
Generated Node #0,0,0: 17:[36, 2] Operation: 34/17=2
Exploring Operation: 34-17=17, Resulting Numbers: [36, 17]
Generated Node #0,0,1: 17:[36, 17] Operation: 34-17=17
Exploring Operation: 34+36=70, Resulting Numbers: [17, 70]
Generated Node #0,0,2: 17:[17, 70] Operation: 34+36=70
Exploring Operation: 36-34=2, Resulting Numbers: [17, 2]
Generated Node #0,0,3: 17:[17, 2] Operation: 36-34=2
Exploring Operation: 36-17=19, Resulting Numbers: [34, 19]
Generated Node #0,0,4: 17:[34, 19] Operation: 36-17=19
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 17:[17, 2], Operations: ['40-23=17', '36-34=2']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,17 unequal: No Solution
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,17 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 #0,0,1
Current State: 17:[36, 17], Operations: ['40-23=17', '34-17=17']
Exploring Operation: 36+17=53, Resulting Numbers: [53]
53,17 unequal: No Solution
Exploring Operation: 36-17=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 36*17=612, Resulting Numbers: [612]
612,17 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 #0,0,4
Current State: 17:[34, 19], Operations: ['40-23=17', '36-17=19']
Exploring Operation: 34+19=53, Resulting Numbers: [53]
53,17 unequal: No Solution
Exploring Operation: 34*19=646, Resulting Numbers: [646]
646,17 unequal: No Solution
Exploring Operation: 34-19=15, Resulting Numbers: [15]
15,17 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 #0,0,0
Current State: 17:[36, 2], Operations: ['40-23=17', '34/17=2']
Exploring Operation: 36*2=72, Resulting Numbers: [72]
72,17 unequal: No Solution
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,17 unequal: No Solution
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,17 unequal: No Solution
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,17 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 #0,0,2
Current State: 17:[17, 70], Operations: ['40-23=17', '34+36=70']
Exploring Operation: 17+70=87, Resulting Numbers: [87]
87,17 unequal: No Solution
Exploring Operation: 17*70=1190, Resulting Numbers: [1190]
1190,17 unequal: No Solution
Exploring Operation: 70-17=53, Resulting Numbers: [53]
53,17 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: 17:[36, 23, 6], Operations: ['40-34=6']
Exploring Operation: 36-6=30, Resulting Numbers: [23, 30]
Generated Node #0,4,0: 17:[23, 30] Operation: 36-6=30
Exploring Operation: 36+6=42, Resulting Numbers: [23, 42]
Generated Node #0,4,1: 17:[23, 42] Operation: 36+6=42
Exploring Operation: 36/6=6, Resulting Numbers: [23, 6]
Generated Node #0,4,2: 17:[23, 6] Operation: 36/6=6
Exploring Operation: 36-23=13, Resulting Numbers: [6, 13]
Generated Node #0,4,3: 17:[6, 13] Operation: 36-23=13
Exploring Operation: 23-6=17, Resulting Numbers: [36, 17]
Generated Node #0,4,4: 17:[36, 17] Operation: 23-6=17
Moving to Node #0,1
Current State: 17:[34, 23, 4], Operations: ['40-36=4']
Exploring Operation: 34-4=30, Resulting Numbers: [23, 30]
Generated Node #0,1,0: 17:[23, 30] Operation: 34-4=30
Exploring Operation: 34+4=38, Resulting Numbers: [23, 38]
Generated Node #0,1,1: 17:[23, 38] Operation: 34+4=38
Exploring Operation: 23+4=27, Resulting Numbers: [34, 27]
Generated Node #0,1,2: 17:[34, 27] Operation: 23+4=27
Exploring Operation: 34-23=11, Resulting Numbers: [4, 11]
Generated Node #0,1,3: 17:[4, 11] Operation: 34-23=11
Exploring Operation: 23-4=19, Resulting Numbers: [34, 19]
Generated Node #0,1,4: 17:[34, 19] Operation: 23-4=19
Moving to Node #0,2
Current State: 17:[40, 23, 2], Operations: ['36-34=2']
Exploring Operation: 40-2=38, Resulting Numbers: [23, 38]
Generated Node #0,2,0: 17:[23, 38] Operation: 40-2=38
Exploring Operation: 23-2=21, Resulting Numbers: [40, 21]
Generated Node #0,2,1: 17:[40, 21] Operation: 23-2=21
Exploring Operation: 40-23=17, Resulting Numbers: [2, 17]
Generated Node #0,2,2: 17:[2, 17] Operation: 40-23=17
Exploring Operation: 40+2=42, Resulting Numbers: [23, 42]
Generated Node #0,2,3: 17:[23, 42] Operation: 40+2=42
Exploring Operation: 40/2=20, Resulting Numbers: [23, 20]
Generated Node #0,2,4: 17:[23, 20] Operation: 40/2=20
Moving to Node #0,3
Current State: 17:[40, 34, 13], Operations: ['36-23=13']
Exploring Operation: 40-13=27, Resulting Numbers: [34, 27]
Generated Node #0,3,0: 17:[34, 27] Operation: 40-13=27
Exploring Operation: 40-34=6, Resulting Numbers: [13, 6]
Generated Node #0,3,1: 17:[13, 6] Operation: 40-34=6
Exploring Operation: 34-13=21, Resulting Numbers: [40, 21]
Generated Node #0,3,2: 17:[40, 21] Operation: 34-13=21
Exploring Operation: 40+13=53, Resulting Numbers: [34, 53]
Generated Node #0,3,3: 17:[34, 53] Operation: 40+13=53
Exploring Operation: 34+13=47, Resulting Numbers: [40, 47]
Generated Node #0,3,4: 17:[40, 47] Operation: 34+13=47
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 17:[13, 6], Operations: ['36-23=13', '40-34=6']
Exploring Operation: 13*6=78, Resulting Numbers: [78]
78,17 unequal: No Solution
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,17 unequal: No Solution
Exploring Operation: 13+6=19, Resulting Numbers: [19]
19,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 17:[34, 27], Operations: ['36-23=13', '40-13=27']
Exploring Operation: 34+27=61, Resulting Numbers: [61]
61,17 unequal: No Solution
Exploring Operation: 34*27=918, Resulting Numbers: [918]
918,17 unequal: No Solution
Exploring Operation: 34-27=7, Resulting Numbers: [7]
7,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 17:[40, 21], Operations: ['36-23=13', '34-13=21']
Exploring Operation: 40*21=840, Resulting Numbers: [840]
840,17 unequal: No Solution
Exploring Operation: 40-21=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 40+21=61, Resulting Numbers: [61]
61,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 17:[34, 53], Operations: ['36-23=13', '40+13=53']
Exploring Operation: 34*53=1802, Resulting Numbers: [1802]
1802,17 unequal: No Solution
Exploring Operation: 34+53=87, Resulting Numbers: [87]
87,17 unequal: No Solution
Exploring Operation: 53-34=19, Resulting Numbers: [19]
19,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 17:[40, 47], Operations: ['36-23=13', '34+13=47']
Exploring Operation: 40+47=87, Resulting Numbers: [87]
87,17 unequal: No Solution
Exploring Operation: 40*47=1880, Resulting Numbers: [1880]
1880,17 unequal: No Solution
Exploring Operation: 47-40=7, Resulting Numbers: [7]
7,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,4
Current State: 17:[23, 20], Operations: ['36-34=2', '40/2=20']
Exploring Operation: 23*20=460, Resulting Numbers: [460]
460,17 unequal: No Solution
Exploring Operation: 23-20=3, Resulting Numbers: [3]
3,17 unequal: No Solution
Exploring Operation: 23+20=43, Resulting Numbers: [43]
43,17 unequal: No Solution
Moving to Node #0,2,2
Current State: 17:[2, 17], Operations: ['36-34=2', '40-23=17']
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,17 unequal: No Solution
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,17 unequal: No Solution
Moving to Node #0,4,3
Current State: 17:[6, 13], Operations: ['40-34=6', '36-23=13']
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,17 unequal: No Solution
Exploring Operation: 6+13=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,17 unequal: No Solution
Moving to Node #0,4,2
Current State: 17:[23, 6], Operations: ['40-34=6', '36/6=6']
Exploring Operation: 23+6=29, Resulting Numbers: [29]
29,17 unequal: No Solution
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[40, 34, 36, 23], Operations: []
Exploring Operation: 40-34=6, Resulting Numbers: [36, 23, 6]
Generated Node #0,4: 17:[36, 23, 6] Operation: 40-34=6
Moving to Node #0,4
Current State: 17:[36, 23, 6], Operations: ['40-34=6']
Exploring Operation: 36/6=6, Resulting Numbers: [23, 6]
Generated Node #0,4,2: 17:[23, 6] Operation: 36/6=6
Moving to Node #0,4,2
Current State: 17:[23, 6], Operations: ['40-34=6', '36/6=6']
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 0.934028 | hs_5 | mult_heuristic |
[
15,
35,
72,
63
] | 99 | [
"15*63=945",
"945/35=27",
"72+27=99"
] | Current State: 99:[15, 35, 72, 63], Operations: []
Exploring Operation: 15*63=945, Resulting Numbers: [35, 72, 945]
Generated Node #2: [35, 72, 945] from Operation: 15*63=945
Current State: 99:[35, 72, 945], Operations: ['15*63=945']
Exploring Operation: 945/35=27, Resulting Numbers: [72, 27]
Generated Node #3: [72, 27] from Operation: 945/35=27
Current State: 99:[72, 27], Operations: ['15*63=945', '945/35=27']
Exploring Operation: 72+27=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[15, 35, 72, 63], Operations: []
Exploring Operation: 35+63=98, Resulting Numbers: [15, 72, 98]
Generated Node #0,0: 99:[15, 72, 98] Operation: 35+63=98
Exploring Operation: 63-35=28, Resulting Numbers: [15, 72, 28]
Generated Node #0,1: 99:[15, 72, 28] Operation: 63-35=28
Exploring Operation: 72-35=37, Resulting Numbers: [15, 63, 37]
Generated Node #0,2: 99:[15, 63, 37] Operation: 72-35=37
Exploring Operation: 35+72=107, Resulting Numbers: [15, 63, 107]
Generated Node #0,3: 99:[15, 63, 107] Operation: 35+72=107
Exploring Operation: 72-63=9, Resulting Numbers: [15, 35, 9]
Generated Node #0,4: 99:[15, 35, 9] Operation: 72-63=9
Moving to Node #0,4
Current State: 99:[15, 35, 9], Operations: ['72-63=9']
Exploring Operation: 35+9=44, Resulting Numbers: [15, 44]
Generated Node #0,4,0: 99:[15, 44] Operation: 35+9=44
Exploring Operation: 35-15=20, Resulting Numbers: [9, 20]
Generated Node #0,4,1: 99:[9, 20] Operation: 35-15=20
Exploring Operation: 35-9=26, Resulting Numbers: [15, 26]
Generated Node #0,4,2: 99:[15, 26] Operation: 35-9=26
Exploring Operation: 15-9=6, Resulting Numbers: [35, 6]
Generated Node #0,4,3: 99:[35, 6] Operation: 15-9=6
Exploring Operation: 15+9=24, Resulting Numbers: [35, 24]
Generated Node #0,4,4: 99:[35, 24] Operation: 15+9=24
Moving to Node #0,0
Current State: 99:[15, 72, 98], Operations: ['35+63=98']
Exploring Operation: 72-15=57, Resulting Numbers: [98, 57]
Generated Node #0,0,0: 99:[98, 57] Operation: 72-15=57
Exploring Operation: 98-15=83, Resulting Numbers: [72, 83]
Generated Node #0,0,1: 99:[72, 83] Operation: 98-15=83
Exploring Operation: 15+98=113, Resulting Numbers: [72, 113]
Generated Node #0,0,2: 99:[72, 113] Operation: 15+98=113
Exploring Operation: 98-72=26, Resulting Numbers: [15, 26]
Generated Node #0,0,3: 99:[15, 26] Operation: 98-72=26
Exploring Operation: 15+72=87, Resulting Numbers: [98, 87]
Generated Node #0,0,4: 99:[98, 87] Operation: 15+72=87
Moving to Node #0,1
Current State: 99:[15, 72, 28], Operations: ['63-35=28']
Exploring Operation: 28-15=13, Resulting Numbers: [72, 13]
Generated Node #0,1,0: 99:[72, 13] Operation: 28-15=13
Exploring Operation: 72-15=57, Resulting Numbers: [28, 57]
Generated Node #0,1,1: 99:[28, 57] Operation: 72-15=57
Exploring Operation: 15+72=87, Resulting Numbers: [28, 87]
Generated Node #0,1,2: 99:[28, 87] Operation: 15+72=87
Exploring Operation: 72-28=44, Resulting Numbers: [15, 44]
Generated Node #0,1,3: 99:[15, 44] Operation: 72-28=44
Exploring Operation: 72+28=100, Resulting Numbers: [15, 100]
Generated Node #0,1,4: 99:[15, 100] Operation: 72+28=100
Moving to Node #0,2
Current State: 99:[15, 63, 37], Operations: ['72-35=37']
Exploring Operation: 63-37=26, Resulting Numbers: [15, 26]
Generated Node #0,2,0: 99:[15, 26] Operation: 63-37=26
Exploring Operation: 15+63=78, Resulting Numbers: [37, 78]
Generated Node #0,2,1: 99:[37, 78] Operation: 15+63=78
Exploring Operation: 37-15=22, Resulting Numbers: [63, 22]
Generated Node #0,2,2: 99:[63, 22] Operation: 37-15=22
Exploring Operation: 63-15=48, Resulting Numbers: [37, 48]
Generated Node #0,2,3: 99:[37, 48] Operation: 63-15=48
Exploring Operation: 63+37=100, Resulting Numbers: [15, 100]
Generated Node #0,2,4: 99:[15, 100] Operation: 63+37=100
Moving to Node #0,3
Current State: 99:[15, 63, 107], Operations: ['35+72=107']
Exploring Operation: 107-63=44, Resulting Numbers: [15, 44]
Generated Node #0,3,0: 99:[15, 44] Operation: 107-63=44
Exploring Operation: 15+63=78, Resulting Numbers: [107, 78]
Generated Node #0,3,1: 99:[107, 78] Operation: 15+63=78
Exploring Operation: 15+107=122, Resulting Numbers: [63, 122]
Generated Node #0,3,2: 99:[63, 122] Operation: 15+107=122
Exploring Operation: 63-15=48, Resulting Numbers: [107, 48]
Generated Node #0,3,3: 99:[107, 48] Operation: 63-15=48
Exploring Operation: 107-15=92, Resulting Numbers: [63, 92]
Generated Node #0,3,4: 99:[63, 92] Operation: 107-15=92
Moving to Node #0,4,3
Current State: 99:[35, 6], Operations: ['72-63=9', '15-9=6']
Exploring Operation: 35+6=41, Resulting Numbers: [41]
41,99 unequal: No Solution
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,99 unequal: No Solution
Exploring Operation: 35*6=210, Resulting Numbers: [210]
210,99 unequal: No Solution
Moving to Node #0,1,4
Current State: 99:[15, 100], Operations: ['63-35=28', '72+28=100']
Exploring Operation: 15*100=1500, Resulting Numbers: [1500]
1500,99 unequal: No Solution
Exploring Operation: 100-15=85, Resulting Numbers: [85]
85,99 unequal: No Solution
Exploring Operation: 15+100=115, Resulting Numbers: [115]
115,99 unequal: No Solution
Moving to Node #0,2,4
Current State: 99:[15, 100], Operations: ['72-35=37', '63+37=100']
Exploring Operation: 15*100=1500, Resulting Numbers: [1500]
1500,99 unequal: No Solution
Exploring Operation: 15+100=115, Resulting Numbers: [115]
115,99 unequal: No Solution
Exploring Operation: 100-15=85, Resulting Numbers: [85]
85,99 unequal: No Solution
Moving to Node #0,4,1
Current State: 99:[9, 20], Operations: ['72-63=9', '35-15=20']
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,99 unequal: No Solution
Exploring Operation: 9*20=180, Resulting Numbers: [180]
180,99 unequal: No Solution
Exploring Operation: 9+20=29, Resulting Numbers: [29]
29,99 unequal: No Solution
Moving to Node #0,4,2
Current State: 99:[15, 26], Operations: ['72-63=9', '35-9=26']
Exploring Operation: 15*26=390, Resulting Numbers: [390]
390,99 unequal: No Solution
Exploring Operation: 15+26=41, Resulting Numbers: [41]
41,99 unequal: No Solution
Exploring Operation: 26-15=11, Resulting Numbers: [11]
11,99 unequal: No Solution
Moving to Node #0,0,3
Current State: 99:[15, 26], Operations: ['35+63=98', '98-72=26']
Exploring Operation: 26-15=11, Resulting Numbers: [11]
11,99 unequal: No Solution
Exploring Operation: 15+26=41, Resulting Numbers: [41]
41,99 unequal: No Solution
Exploring Operation: 15*26=390, Resulting Numbers: [390]
390,99 unequal: No Solution
Moving to Node #0,4,4
Current State: 99:[35, 24], Operations: ['72-63=9', '15+9=24']
Exploring Operation: 35+24=59, Resulting Numbers: [59]
59,99 unequal: No Solution
Exploring Operation: 35-24=11, Resulting Numbers: [11]
11,99 unequal: No Solution
Exploring Operation: 35*24=840, Resulting Numbers: [840]
840,99 unequal: No Solution
Moving to Node #0,2,0
Current State: 99:[15, 26], Operations: ['72-35=37', '63-37=26']
Exploring Operation: 26-15=11, Resulting Numbers: [11]
11,99 unequal: No Solution
Exploring Operation: 15+26=41, Resulting Numbers: [41]
41,99 unequal: No Solution
Exploring Operation: 15*26=390, Resulting Numbers: [390]
390,99 unequal: No Solution
Moving to Node #0,0,4
Current State: 99:[98, 87], Operations: ['35+63=98', '15+72=87']
Exploring Operation: 98-87=11, Resulting Numbers: [11]
11,99 unequal: No Solution
Exploring Operation: 98*87=8526, Resulting Numbers: [8526]
8526,99 unequal: No Solution
Exploring Operation: 98+87=185, Resulting Numbers: [185]
185,99 unequal: No Solution
Moving to Node #0,1,3
Current State: 99:[15, 44], Operations: ['63-35=28', '72-28=44']
Exploring Operation: 44-15=29, Resulting Numbers: [29]
29,99 unequal: No Solution
Exploring Operation: 15+44=59, Resulting Numbers: [59]
59,99 unequal: No Solution
Exploring Operation: 15*44=660, Resulting Numbers: [660]
660,99 unequal: No Solution
Moving to Node #0,4,0
Current State: 99:[15, 44], Operations: ['72-63=9', '35+9=44']
Exploring Operation: 44-15=29, Resulting Numbers: [29]
29,99 unequal: No Solution
Exploring Operation: 15*44=660, Resulting Numbers: [660]
660,99 unequal: No Solution
Exploring Operation: 15+44=59, Resulting Numbers: [59]
59,99 unequal: No Solution
Moving to Node #0,3,0
Current State: 99:[15, 44], Operations: ['35+72=107', '107-63=44']
Exploring Operation: 44-15=29, Resulting Numbers: [29]
29,99 unequal: No Solution
Exploring Operation: 15+44=59, Resulting Numbers: [59]
59,99 unequal: No Solution
Exploring Operation: 15*44=660, Resulting Numbers: [660]
660,99 unequal: No Solution
Moving to Node #0,1,2
Current State: 99:[28, 87], Operations: ['63-35=28', '15+72=87']
Exploring Operation: 28+87=115, Resulting Numbers: [115]
115,99 unequal: No Solution
Exploring Operation: 28*87=2436, Resulting Numbers: [2436]
2436,99 unequal: No Solution
Exploring Operation: 87-28=59, Resulting Numbers: [59]
59,99 unequal: No Solution
Moving to Node #0,2,3
Current State: 99:[37, 48], Operations: ['72-35=37', '63-15=48']
Exploring Operation: 37+48=85, Resulting Numbers: [85]
85,99 unequal: No Solution
Exploring Operation: 37*48=1776, Resulting Numbers: [1776]
1776,99 unequal: No Solution
Exploring Operation: 48-37=11, Resulting Numbers: [11]
11,99 unequal: No Solution
Moving to Node #0,3,3
Current State: 99:[107, 48], Operations: ['35+72=107', '63-15=48']
Exploring Operation: 107-48=59, Resulting Numbers: [59]
59,99 unequal: No Solution
Exploring Operation: 107+48=155, Resulting Numbers: [155]
155,99 unequal: No Solution
Exploring Operation: 107*48=5136, Resulting Numbers: [5136]
5136,99 unequal: No Solution
Moving to Node #0,2,1
Current State: 99:[37, 78], Operations: ['72-35=37', '15+63=78']
Exploring Operation: 37*78=2886, Resulting Numbers: [2886]
2886,99 unequal: No Solution
Exploring Operation: 37+78=115, Resulting Numbers: [115]
115,99 unequal: No Solution
Exploring Operation: 78-37=41, Resulting Numbers: [41]
41,99 unequal: No Solution
Moving to Node #0,0,0
Current State: 99:[98, 57], Operations: ['35+63=98', '72-15=57']
Exploring Operation: 98+57=155, Resulting Numbers: [155]
155,99 unequal: No Solution
Exploring Operation: 98*57=5586, Resulting Numbers: [5586]
5586,99 unequal: No Solution
Exploring Operation: 98-57=41, Resulting Numbers: [41]
41,99 unequal: No Solution
Moving to Node #0,1,1
Current State: 99:[28, 57], Operations: ['63-35=28', '72-15=57']
Exploring Operation: 57-28=29, Resulting Numbers: [29]
29,99 unequal: No Solution
Exploring Operation: 28*57=1596, Resulting Numbers: [1596]
1596,99 unequal: No Solution
Exploring Operation: 28+57=85, Resulting Numbers: [85]
85,99 unequal: No Solution
Moving to Node #0,1,0
Current State: 99:[72, 13], Operations: ['63-35=28', '28-15=13']
Exploring Operation: 72*13=936, Resulting Numbers: [936]
936,99 unequal: No Solution
Exploring Operation: 72+13=85, Resulting Numbers: [85]
85,99 unequal: No Solution
Exploring Operation: 72-13=59, Resulting Numbers: [59]
59,99 unequal: No Solution
Moving to Node #0,3,1
Current State: 99:[107, 78], Operations: ['35+72=107', '15+63=78']
Exploring Operation: 107+78=185, Resulting Numbers: [185]
185,99 unequal: No Solution
Exploring Operation: 107*78=8346, Resulting Numbers: [8346]
8346,99 unequal: No Solution
Exploring Operation: 107-78=29, Resulting Numbers: [29]
29,99 unequal: No Solution
Moving to Node #0,3,4
Current State: 99:[63, 92], Operations: ['35+72=107', '107-15=92']
Exploring Operation: 63+92=155, Resulting Numbers: [155]
155,99 unequal: No Solution
Exploring Operation: 92-63=29, Resulting Numbers: [29]
29,99 unequal: No Solution
Exploring Operation: 63*92=5796, Resulting Numbers: [5796]
5796,99 unequal: No Solution
Moving to Node #0,2,2
Current State: 99:[63, 22], Operations: ['72-35=37', '37-15=22']
Exploring Operation: 63-22=41, Resulting Numbers: [41]
41,99 unequal: No Solution
Exploring Operation: 63+22=85, Resulting Numbers: [85]
85,99 unequal: No Solution
Exploring Operation: 63*22=1386, Resulting Numbers: [1386]
1386,99 unequal: No Solution
Moving to Node #0,0,2
Current State: 99:[72, 113], Operations: ['35+63=98', '15+98=113']
Exploring Operation: 72*113=8136, Resulting Numbers: [8136]
8136,99 unequal: No Solution
Exploring Operation: 72+113=185, Resulting Numbers: [185]
185,99 unequal: No Solution
Exploring Operation: 113-72=41, Resulting Numbers: [41]
41,99 unequal: No Solution
Moving to Node #0,0,1
Current State: 99:[72, 83], Operations: ['35+63=98', '98-15=83']
Exploring Operation: 72+83=155, Resulting Numbers: [155]
155,99 unequal: No Solution
Exploring Operation: 83-72=11, Resulting Numbers: [11]
11,99 unequal: No Solution
Exploring Operation: 72*83=5976, Resulting Numbers: [5976]
5976,99 unequal: No Solution
Moving to Node #0,3,2
Current State: 99:[63, 122], Operations: ['35+72=107', '15+107=122']
Exploring Operation: 63*122=7686, Resulting Numbers: [7686]
7686,99 unequal: No Solution
Exploring Operation: 122-63=59, Resulting Numbers: [59]
59,99 unequal: No Solution
Exploring Operation: 63+122=185, Resulting Numbers: [185]
185,99 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
97,
27,
84,
71
] | 85 | [
"97-27=70",
"84+71=155",
"155-70=85"
] | Current State: 85:[97, 27, 84, 71], Operations: []
Exploring Operation: 97-27=70, Resulting Numbers: [84, 71, 70]
Generated Node #2: [84, 71, 70] from Operation: 97-27=70
Current State: 85:[84, 71, 70], Operations: ['97-27=70']
Exploring Operation: 84+71=155, Resulting Numbers: [70, 155]
Generated Node #3: [70, 155] from Operation: 84+71=155
Current State: 85:[70, 155], Operations: ['97-27=70', '84+71=155']
Exploring Operation: 155-70=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[97, 27, 84, 71], Operations: []
Exploring Operation: 84-71=13, Resulting Numbers: [97, 27, 13]
Generated Node #0,0: 85:[97, 27, 13] Operation: 84-71=13
Exploring Operation: 27+71=98, Resulting Numbers: [97, 84, 98]
Generated Node #0,1: 85:[97, 84, 98] Operation: 27+71=98
Exploring Operation: 97-84=13, Resulting Numbers: [27, 71, 13]
Generated Node #0,2: 85:[27, 71, 13] Operation: 97-84=13
Exploring Operation: 97-71=26, Resulting Numbers: [27, 84, 26]
Generated Node #0,3: 85:[27, 84, 26] Operation: 97-71=26
Moving to Node #0,3
Current State: 85:[27, 84, 26], Operations: ['97-71=26']
Exploring Operation: 27+26=53, Resulting Numbers: [84, 53]
Generated Node #0,3,0: 85:[84, 53] Operation: 27+26=53
Exploring Operation: 27-26=1, Resulting Numbers: [84, 1]
Generated Node #0,3,1: 85:[84, 1] Operation: 27-26=1
Exploring Operation: 84+26=110, Resulting Numbers: [27, 110]
Generated Node #0,3,2: 85:[27, 110] Operation: 84+26=110
Exploring Operation: 27+84=111, Resulting Numbers: [26, 111]
Generated Node #0,3,3: 85:[26, 111] Operation: 27+84=111
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 85:[84, 1], Operations: ['97-71=26', '27-26=1']
Exploring Operation: 84-1=83, Resulting Numbers: [83]
83,85 unequal: No Solution
Exploring Operation: 84*1=84, Resulting Numbers: [84]
84,85 unequal: No Solution
Exploring Operation: 84/1=84, Resulting Numbers: [84]
84,85 unequal: No Solution
Exploring Operation: 84+1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[97, 27, 84, 71], Operations: []
Exploring Operation: 97-71=26, Resulting Numbers: [27, 84, 26]
Generated Node #0,3: 85:[27, 84, 26] Operation: 97-71=26
Moving to Node #0,3
Current State: 85:[27, 84, 26], Operations: ['97-71=26']
Exploring Operation: 27-26=1, Resulting Numbers: [84, 1]
Generated Node #0,3,1: 85:[84, 1] Operation: 27-26=1
Moving to Node #0,3,1
Current State: 85:[84, 1], Operations: ['97-71=26', '27-26=1']
Exploring Operation: 84+1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
88,
76,
48,
6
] | 87 | [
"88*6=528",
"528/48=11",
"76+11=87"
] | Current State: 87:[88, 76, 48, 6], Operations: []
Exploring Operation: 88*6=528, Resulting Numbers: [76, 48, 528]
Generated Node #2: [76, 48, 528] from Operation: 88*6=528
Current State: 87:[76, 48, 528], Operations: ['88*6=528']
Exploring Operation: 528/48=11, Resulting Numbers: [76, 11]
Generated Node #3: [76, 11] from Operation: 528/48=11
Current State: 87:[76, 11], Operations: ['88*6=528', '528/48=11']
Exploring Operation: 76+11=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[88, 76, 48, 6], Operations: []
Exploring Operation: 76-48=28, Resulting Numbers: [88, 6, 28]
Generated Node #0,0: 87:[88, 6, 28] Operation: 76-48=28
Moving to Node #0,0
Current State: 87:[88, 6, 28], Operations: ['76-48=28']
Exploring Operation: 88-6=82, Resulting Numbers: [28, 82]
Generated Node #0,0,0: 87:[28, 82] Operation: 88-6=82
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 87:[28, 82], Operations: ['76-48=28', '88-6=82']
Exploring Operation: 28+82=110, Resulting Numbers: [110]
110,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
13,
76,
18,
73
] | 93 | [
"13+18=31",
"76-73=3",
"31*3=93"
] | Current State: 93:[13, 76, 18, 73], Operations: []
Exploring Operation: 13+18=31, Resulting Numbers: [76, 73, 31]
Generated Node #2: [76, 73, 31] from Operation: 13+18=31
Current State: 93:[76, 73, 31], Operations: ['13+18=31']
Exploring Operation: 76-73=3, Resulting Numbers: [31, 3]
Generated Node #3: [31, 3] from Operation: 76-73=3
Current State: 93:[31, 3], Operations: ['13+18=31', '76-73=3']
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[13, 76, 18, 73], Operations: []
Exploring Operation: 13+76=89, Resulting Numbers: [18, 73, 89]
Generated Node #0,0: 93:[18, 73, 89] Operation: 13+76=89
Exploring Operation: 76-73=3, Resulting Numbers: [13, 18, 3]
Generated Node #0,1: 93:[13, 18, 3] Operation: 76-73=3
Exploring Operation: 18+73=91, Resulting Numbers: [13, 76, 91]
Generated Node #0,2: 93:[13, 76, 91] Operation: 18+73=91
Exploring Operation: 76+18=94, Resulting Numbers: [13, 73, 94]
Generated Node #0,3: 93:[13, 73, 94] Operation: 76+18=94
Exploring Operation: 13+18=31, Resulting Numbers: [76, 73, 31]
Generated Node #0,4: 93:[76, 73, 31] Operation: 13+18=31
Moving to Node #0,1
Current State: 93:[13, 18, 3], Operations: ['76-73=3']
Exploring Operation: 13+18=31, Resulting Numbers: [3, 31]
Generated Node #0,1,0: 93:[3, 31] Operation: 13+18=31
Exploring Operation: 13-3=10, Resulting Numbers: [18, 10]
Generated Node #0,1,1: 93:[18, 10] Operation: 13-3=10
Exploring Operation: 18/3=6, Resulting Numbers: [13, 6]
Generated Node #0,1,2: 93:[13, 6] Operation: 18/3=6
Exploring Operation: 18-13=5, Resulting Numbers: [3, 5]
Generated Node #0,1,3: 93:[3, 5] Operation: 18-13=5
Exploring Operation: 18+3=21, Resulting Numbers: [13, 21]
Generated Node #0,1,4: 93:[13, 21] Operation: 18+3=21
Moving to Node #0,2
Current State: 93:[13, 76, 91], Operations: ['18+73=91']
Exploring Operation: 91/13=7, Resulting Numbers: [76, 7]
Generated Node #0,2,0: 93:[76, 7] Operation: 91/13=7
Exploring Operation: 13+91=104, Resulting Numbers: [76, 104]
Generated Node #0,2,1: 93:[76, 104] Operation: 13+91=104
Exploring Operation: 76-13=63, Resulting Numbers: [91, 63]
Generated Node #0,2,2: 93:[91, 63] Operation: 76-13=63
Exploring Operation: 13+76=89, Resulting Numbers: [91, 89]
Generated Node #0,2,3: 93:[91, 89] Operation: 13+76=89
Exploring Operation: 91-76=15, Resulting Numbers: [13, 15]
Generated Node #0,2,4: 93:[13, 15] Operation: 91-76=15
Moving to Node #0,3
Current State: 93:[13, 73, 94], Operations: ['76+18=94']
Exploring Operation: 13+73=86, Resulting Numbers: [94, 86]
Generated Node #0,3,0: 93:[94, 86] Operation: 13+73=86
Exploring Operation: 94-13=81, Resulting Numbers: [73, 81]
Generated Node #0,3,1: 93:[73, 81] Operation: 94-13=81
Exploring Operation: 13+94=107, Resulting Numbers: [73, 107]
Generated Node #0,3,2: 93:[73, 107] Operation: 13+94=107
Exploring Operation: 94-73=21, Resulting Numbers: [13, 21]
Generated Node #0,3,3: 93:[13, 21] Operation: 94-73=21
Exploring Operation: 73-13=60, Resulting Numbers: [94, 60]
Generated Node #0,3,4: 93:[94, 60] Operation: 73-13=60
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 93:[94, 86], Operations: ['76+18=94', '13+73=86']
Exploring Operation: 94+86=180, Resulting Numbers: [180]
180,93 unequal: No Solution
Exploring Operation: 94*86=8084, Resulting Numbers: [8084]
8084,93 unequal: No Solution
Exploring Operation: 94-86=8, Resulting Numbers: [8]
8,93 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 #0,3,3
Current State: 93:[13, 21], Operations: ['76+18=94', '94-73=21']
Exploring Operation: 13+21=34, Resulting Numbers: [34]
34,93 unequal: No Solution
Exploring Operation: 21-13=8, Resulting Numbers: [8]
8,93 unequal: No Solution
Exploring Operation: 13*21=273, Resulting Numbers: [273]
273,93 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 #0,3,4
Current State: 93:[94, 60], Operations: ['76+18=94', '73-13=60']
Exploring Operation: 94*60=5640, Resulting Numbers: [5640]
5640,93 unequal: No Solution
Exploring Operation: 94+60=154, Resulting Numbers: [154]
154,93 unequal: No Solution
Exploring Operation: 94-60=34, Resulting Numbers: [34]
34,93 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 #0,3,1
Current State: 93:[73, 81], Operations: ['76+18=94', '94-13=81']
Exploring Operation: 73*81=5913, Resulting Numbers: [5913]
5913,93 unequal: No Solution
Exploring Operation: 81-73=8, Resulting Numbers: [8]
8,93 unequal: No Solution
Exploring Operation: 73+81=154, Resulting Numbers: [154]
154,93 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 #0,3,2
Current State: 93:[73, 107], Operations: ['76+18=94', '13+94=107']
Exploring Operation: 73+107=180, Resulting Numbers: [180]
180,93 unequal: No Solution
Exploring Operation: 107-73=34, Resulting Numbers: [34]
34,93 unequal: No Solution
Exploring Operation: 73*107=7811, Resulting Numbers: [7811]
7811,93 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: 93:[18, 73, 89], Operations: ['13+76=89']
Exploring Operation: 73-18=55, Resulting Numbers: [89, 55]
Generated Node #0,0,0: 93:[89, 55] Operation: 73-18=55
Exploring Operation: 89-73=16, Resulting Numbers: [18, 16]
Generated Node #0,0,1: 93:[18, 16] Operation: 89-73=16
Exploring Operation: 18+89=107, Resulting Numbers: [73, 107]
Generated Node #0,0,2: 93:[73, 107] Operation: 18+89=107
Exploring Operation: 89-18=71, Resulting Numbers: [73, 71]
Generated Node #0,0,3: 93:[73, 71] Operation: 89-18=71
Exploring Operation: 18+73=91, Resulting Numbers: [89, 91]
Generated Node #0,0,4: 93:[89, 91] Operation: 18+73=91
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 93:[89, 91], Operations: ['13+76=89', '18+73=91']
Exploring Operation: 89*91=8099, Resulting Numbers: [8099]
8099,93 unequal: No Solution
Exploring Operation: 91-89=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 89+91=180, Resulting Numbers: [180]
180,93 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:[18, 16], Operations: ['13+76=89', '89-73=16']
Exploring Operation: 18-16=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 18+16=34, Resulting Numbers: [34]
34,93 unequal: No Solution
Exploring Operation: 18*16=288, Resulting Numbers: [288]
288,93 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 #0,0,0
Current State: 93:[89, 55], Operations: ['13+76=89', '73-18=55']
Exploring Operation: 89-55=34, Resulting Numbers: [34]
34,93 unequal: No Solution
Exploring Operation: 89*55=4895, Resulting Numbers: [4895]
4895,93 unequal: No Solution
Exploring Operation: 89+55=144, Resulting Numbers: [144]
144,93 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 #0,0,2
Current State: 93:[73, 107], Operations: ['13+76=89', '18+89=107']
Exploring Operation: 73+107=180, Resulting Numbers: [180]
180,93 unequal: No Solution
Exploring Operation: 107-73=34, Resulting Numbers: [34]
34,93 unequal: No Solution
Exploring Operation: 73*107=7811, Resulting Numbers: [7811]
7811,93 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 #0,0,3
Current State: 93:[73, 71], Operations: ['13+76=89', '89-18=71']
Exploring Operation: 73-71=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 73+71=144, Resulting Numbers: [144]
144,93 unequal: No Solution
Exploring Operation: 73*71=5183, Resulting Numbers: [5183]
5183,93 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: 93:[76, 73, 31], Operations: ['13+18=31']
Exploring Operation: 76-31=45, Resulting Numbers: [73, 45]
Generated Node #0,4,0: 93:[73, 45] Operation: 76-31=45
Exploring Operation: 73-31=42, Resulting Numbers: [76, 42]
Generated Node #0,4,1: 93:[76, 42] Operation: 73-31=42
Exploring Operation: 76-73=3, Resulting Numbers: [31, 3]
Generated Node #0,4,2: 93:[31, 3] Operation: 76-73=3
Exploring Operation: 76+31=107, Resulting Numbers: [73, 107]
Generated Node #0,4,3: 93:[73, 107] Operation: 76+31=107
Exploring Operation: 73+31=104, Resulting Numbers: [76, 104]
Generated Node #0,4,4: 93:[76, 104] Operation: 73+31=104
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 93:[31, 3], Operations: ['13+18=31', '76-73=3']
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,93 unequal: No Solution
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,93 unequal: No Solution
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[13, 76, 18, 73], Operations: []
Exploring Operation: 13+18=31, Resulting Numbers: [76, 73, 31]
Generated Node #0,4: 93:[76, 73, 31] Operation: 13+18=31
Moving to Node #0,4
Current State: 93:[76, 73, 31], Operations: ['13+18=31']
Exploring Operation: 76-73=3, Resulting Numbers: [31, 3]
Generated Node #0,4,2: 93:[31, 3] Operation: 76-73=3
Moving to Node #0,4,2
Current State: 93:[31, 3], Operations: ['13+18=31', '76-73=3']
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.94184 | hs_5 | mult_heuristic |
[
31,
84,
14,
53
] | 13 | [
"84-31=53",
"53/53=1",
"14-1=13"
] | Current State: 13:[31, 84, 14, 53], Operations: []
Exploring Operation: 84-31=53, Resulting Numbers: [14, 53, 53]
Generated Node #2: [14, 53, 53] from Operation: 84-31=53
Current State: 13:[14, 53, 53], Operations: ['84-31=53']
Exploring Operation: 53/53=1, Resulting Numbers: [14, 1]
Generated Node #3: [14, 1] from Operation: 53/53=1
Current State: 13:[14, 1], Operations: ['84-31=53', '53/53=1']
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[31, 84, 14, 53], Operations: []
Exploring Operation: 84/14=6, Resulting Numbers: [31, 53, 6]
Generated Node #0,0: 13:[31, 53, 6] Operation: 84/14=6
Exploring Operation: 84-31=53, Resulting Numbers: [14, 53, 53]
Generated Node #0,1: 13:[14, 53, 53] Operation: 84-31=53
Exploring Operation: 84-53=31, Resulting Numbers: [31, 14, 31]
Generated Node #0,2: 13:[31, 14, 31] Operation: 84-53=31
Exploring Operation: 53-31=22, Resulting Numbers: [84, 14, 22]
Generated Node #0,3: 13:[84, 14, 22] Operation: 53-31=22
Moving to Node #0,2
Current State: 13:[31, 14, 31], Operations: ['84-53=31']
Exploring Operation: 31/31=1, Resulting Numbers: [14, 1]
Generated Node #0,2,0: 13:[14, 1] Operation: 31/31=1
Exploring Operation: 31-14=17, Resulting Numbers: [31, 17]
Generated Node #0,2,1: 13:[31, 17] Operation: 31-14=17
Exploring Operation: 31-31=0, Resulting Numbers: [14, 0]
Generated Node #0,2,2: 13:[14, 0] Operation: 31-31=0
Exploring Operation: 31-14=17, Resulting Numbers: [31, 17]
Generated Node #0,2,3: 13:[31, 17] Operation: 31-14=17
Moving to Node #0,0
Current State: 13:[31, 53, 6], Operations: ['84/14=6']
Exploring Operation: 31-6=25, Resulting Numbers: [53, 25]
Generated Node #0,0,0: 13:[53, 25] Operation: 31-6=25
Exploring Operation: 31+6=37, Resulting Numbers: [53, 37]
Generated Node #0,0,1: 13:[53, 37] Operation: 31+6=37
Exploring Operation: 53-31=22, Resulting Numbers: [6, 22]
Generated Node #0,0,2: 13:[6, 22] Operation: 53-31=22
Exploring Operation: 53-6=47, Resulting Numbers: [31, 47]
Generated Node #0,0,3: 13:[31, 47] Operation: 53-6=47
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 13:[6, 22], Operations: ['84/14=6', '53-31=22']
Exploring Operation: 6+22=28, Resulting Numbers: [28]
28,13 unequal: No Solution
Exploring Operation: 6*22=132, Resulting Numbers: [132]
132,13 unequal: No Solution
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 13:[53, 25], Operations: ['84/14=6', '31-6=25']
Exploring Operation: 53-25=28, Resulting Numbers: [28]
28,13 unequal: No Solution
Exploring Operation: 53+25=78, Resulting Numbers: [78]
78,13 unequal: No Solution
Exploring Operation: 53*25=1325, Resulting Numbers: [1325]
1325,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 13:[31, 47], Operations: ['84/14=6', '53-6=47']
Exploring Operation: 47-31=16, Resulting Numbers: [16]
16,13 unequal: No Solution
Exploring Operation: 31+47=78, Resulting Numbers: [78]
78,13 unequal: No Solution
Exploring Operation: 31*47=1457, Resulting Numbers: [1457]
1457,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 13:[53, 37], Operations: ['84/14=6', '31+6=37']
Exploring Operation: 53-37=16, Resulting Numbers: [16]
16,13 unequal: No Solution
Exploring Operation: 53*37=1961, Resulting Numbers: [1961]
1961,13 unequal: No Solution
Exploring Operation: 53+37=90, Resulting Numbers: [90]
90,13 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: 13:[84, 14, 22], Operations: ['53-31=22']
Exploring Operation: 84-14=70, Resulting Numbers: [22, 70]
Generated Node #0,3,0: 13:[22, 70] Operation: 84-14=70
Exploring Operation: 84/14=6, Resulting Numbers: [22, 6]
Generated Node #0,3,1: 13:[22, 6] Operation: 84/14=6
Exploring Operation: 84-22=62, Resulting Numbers: [14, 62]
Generated Node #0,3,2: 13:[14, 62] Operation: 84-22=62
Exploring Operation: 22-14=8, Resulting Numbers: [84, 8]
Generated Node #0,3,3: 13:[84, 8] Operation: 22-14=8
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 13:[22, 6], Operations: ['53-31=22', '84/14=6']
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,13 unequal: No Solution
Exploring Operation: 22+6=28, Resulting Numbers: [28]
28,13 unequal: No Solution
Exploring Operation: 22*6=132, Resulting Numbers: [132]
132,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 13:[14, 62], Operations: ['53-31=22', '84-22=62']
Exploring Operation: 62-14=48, Resulting Numbers: [48]
48,13 unequal: No Solution
Exploring Operation: 14+62=76, Resulting Numbers: [76]
76,13 unequal: No Solution
Exploring Operation: 14*62=868, Resulting Numbers: [868]
868,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 13:[22, 70], Operations: ['53-31=22', '84-14=70']
Exploring Operation: 70-22=48, Resulting Numbers: [48]
48,13 unequal: No Solution
Exploring Operation: 22+70=92, Resulting Numbers: [92]
92,13 unequal: No Solution
Exploring Operation: 22*70=1540, Resulting Numbers: [1540]
1540,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 13:[84, 8], Operations: ['53-31=22', '22-14=8']
Exploring Operation: 84+8=92, Resulting Numbers: [92]
92,13 unequal: No Solution
Exploring Operation: 84*8=672, Resulting Numbers: [672]
672,13 unequal: No Solution
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,13 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: 13:[14, 53, 53], Operations: ['84-31=53']
Exploring Operation: 53-14=39, Resulting Numbers: [53, 39]
Generated Node #0,1,0: 13:[53, 39] Operation: 53-14=39
Exploring Operation: 53-53=0, Resulting Numbers: [14, 0]
Generated Node #0,1,1: 13:[14, 0] Operation: 53-53=0
Exploring Operation: 53/53=1, Resulting Numbers: [14, 1]
Generated Node #0,1,2: 13:[14, 1] Operation: 53/53=1
Exploring Operation: 53-14=39, Resulting Numbers: [53, 39]
Generated Node #0,1,3: 13:[53, 39] Operation: 53-14=39
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 13:[14, 1], Operations: ['84-31=53', '53/53=1']
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,13 unequal: No Solution
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,13 unequal: No Solution
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,13 unequal: No Solution
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[31, 84, 14, 53], Operations: []
Exploring Operation: 84-31=53, Resulting Numbers: [14, 53, 53]
Generated Node #0,1: 13:[14, 53, 53] Operation: 84-31=53
Moving to Node #0,1
Current State: 13:[14, 53, 53], Operations: ['84-31=53']
Exploring Operation: 53/53=1, Resulting Numbers: [14, 1]
Generated Node #0,1,2: 13:[14, 1] Operation: 53/53=1
Moving to Node #0,1,2
Current State: 13:[14, 1], Operations: ['84-31=53', '53/53=1']
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.954861 | hs_4 | mult_heuristic |
[
85,
84,
1,
14
] | 15 | [
"85-84=1",
"1+14=15",
"1*15=15"
] | Current State: 15:[85, 84, 1, 14], Operations: []
Exploring Operation: 85-84=1, Resulting Numbers: [1, 14, 1]
Generated Node #2: [1, 14, 1] from Operation: 85-84=1
Current State: 15:[1, 14, 1], Operations: ['85-84=1']
Exploring Operation: 1+14=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exploring Operation: 1*15=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[85, 84, 1, 14], Operations: []
Exploring Operation: 85-14=71, Resulting Numbers: [84, 1, 71]
Generated Node #0,0: 15:[84, 1, 71] Operation: 85-14=71
Exploring Operation: 85-84=1, Resulting Numbers: [1, 14, 1]
Generated Node #0,1: 15:[1, 14, 1] Operation: 85-84=1
Exploring Operation: 84/14=6, Resulting Numbers: [85, 1, 6]
Generated Node #0,2: 15:[85, 1, 6] Operation: 84/14=6
Moving to Node #0,1
Current State: 15:[1, 14, 1], Operations: ['85-84=1']
Exploring Operation: 14+1=15, Resulting Numbers: [1, 15]
Generated Node #0,1,0: 15:[1, 15] Operation: 14+1=15
Exploring Operation: 1+1=2, Resulting Numbers: [14, 2]
Generated Node #0,1,1: 15:[14, 2] Operation: 1+1=2
Exploring Operation: 1+14=15, Resulting Numbers: [1, 15]
Generated Node #0,1,2: 15:[1, 15] Operation: 1+14=15
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 15:[1, 15], Operations: ['85-84=1', '14+1=15']
Exploring Operation: 1*15=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[85, 84, 1, 14], Operations: []
Exploring Operation: 85-84=1, Resulting Numbers: [1, 14, 1]
Generated Node #0,1: 15:[1, 14, 1] Operation: 85-84=1
Moving to Node #0,1
Current State: 15:[1, 14, 1], Operations: ['85-84=1']
Exploring Operation: 14+1=15, Resulting Numbers: [1, 15]
Generated Node #0,1,0: 15:[1, 15] Operation: 14+1=15
Moving to Node #0,1,0
Current State: 15:[1, 15], Operations: ['85-84=1', '14+1=15']
Exploring Operation: 1*15=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
90,
36,
11,
15
] | 66 | [
"90/15=6",
"36*11=396",
"396/6=66"
] | Current State: 66:[90, 36, 11, 15], Operations: []
Exploring Operation: 90/15=6, Resulting Numbers: [36, 11, 6]
Generated Node #2: [36, 11, 6] from Operation: 90/15=6
Current State: 66:[36, 11, 6], Operations: ['90/15=6']
Exploring Operation: 36*11=396, Resulting Numbers: [6, 396]
Generated Node #3: [6, 396] from Operation: 36*11=396
Current State: 66:[6, 396], Operations: ['90/15=6', '36*11=396']
Exploring Operation: 396/6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[90, 36, 11, 15], Operations: []
Exploring Operation: 90-15=75, Resulting Numbers: [36, 11, 75]
Generated Node #0,0: 66:[36, 11, 75] Operation: 90-15=75
Exploring Operation: 90/15=6, Resulting Numbers: [36, 11, 6]
Generated Node #0,1: 66:[36, 11, 6] Operation: 90/15=6
Moving to Node #0,1
Current State: 66:[36, 11, 6], Operations: ['90/15=6']
Exploring Operation: 36/6=6, Resulting Numbers: [11, 6]
Generated Node #0,1,0: 66:[11, 6] Operation: 36/6=6
Exploring Operation: 36-11=25, Resulting Numbers: [6, 25]
Generated Node #0,1,1: 66:[6, 25] Operation: 36-11=25
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 66:[11, 6], Operations: ['90/15=6', '36/6=6']
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[90, 36, 11, 15], Operations: []
Exploring Operation: 90/15=6, Resulting Numbers: [36, 11, 6]
Generated Node #0,1: 66:[36, 11, 6] Operation: 90/15=6
Moving to Node #0,1
Current State: 66:[36, 11, 6], Operations: ['90/15=6']
Exploring Operation: 36/6=6, Resulting Numbers: [11, 6]
Generated Node #0,1,0: 66:[11, 6] Operation: 36/6=6
Moving to Node #0,1,0
Current State: 66:[11, 6], Operations: ['90/15=6', '36/6=6']
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
25,
33,
1,
58
] | 65 | [
"33-25=8",
"58-1=57",
"8+57=65"
] | Current State: 65:[25, 33, 1, 58], Operations: []
Exploring Operation: 33-25=8, Resulting Numbers: [1, 58, 8]
Generated Node #2: [1, 58, 8] from Operation: 33-25=8
Current State: 65:[1, 58, 8], Operations: ['33-25=8']
Exploring Operation: 58-1=57, Resulting Numbers: [8, 57]
Generated Node #3: [8, 57] from Operation: 58-1=57
Current State: 65:[8, 57], Operations: ['33-25=8', '58-1=57']
Exploring Operation: 8+57=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[25, 33, 1, 58], Operations: []
Exploring Operation: 25-1=24, Resulting Numbers: [33, 58, 24]
Generated Node #0,0: 65:[33, 58, 24] Operation: 25-1=24
Exploring Operation: 58-33=25, Resulting Numbers: [25, 1, 25]
Generated Node #0,1: 65:[25, 1, 25] Operation: 58-33=25
Exploring Operation: 33-25=8, Resulting Numbers: [1, 58, 8]
Generated Node #0,2: 65:[1, 58, 8] Operation: 33-25=8
Exploring Operation: 25+33=58, Resulting Numbers: [1, 58, 58]
Generated Node #0,3: 65:[1, 58, 58] Operation: 25+33=58
Start Sub Search at level 1: Moving to Node #0,2
Current State: 65:[1, 58, 8], Operations: ['33-25=8']
Exploring Operation: 58+8=66, Resulting Numbers: [1, 66]
Generated Node #0,2,0: 65:[1, 66] Operation: 58+8=66
Exploring Operation: 8-1=7, Resulting Numbers: [58, 7]
Generated Node #0,2,1: 65:[58, 7] Operation: 8-1=7
Exploring Operation: 1*58=58, Resulting Numbers: [8, 58]
Generated Node #0,2,2: 65:[8, 58] Operation: 1*58=58
Exploring Operation: 1+58=59, Resulting Numbers: [8, 59]
Generated Node #0,2,3: 65:[8, 59] Operation: 1+58=59
Moving to Node #0,2,0
Current State: 65:[1, 66], Operations: ['33-25=8', '58+8=66']
Exploring Operation: 66-1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[25, 33, 1, 58], Operations: []
Exploring Operation: 33-25=8, Resulting Numbers: [1, 58, 8]
Generated Node #0,2: 65:[1, 58, 8] Operation: 33-25=8
Moving to Node #0,2
Current State: 65:[1, 58, 8], Operations: ['33-25=8']
Exploring Operation: 58+8=66, Resulting Numbers: [1, 66]
Generated Node #0,2,0: 65:[1, 66] Operation: 58+8=66
Moving to Node #0,2,0
Current State: 65:[1, 66], Operations: ['33-25=8', '58+8=66']
Exploring Operation: 66-1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
64,
59,
12,
18
] | 82 | [
"64+59=123",
"12*123=1476",
"1476/18=82"
] | Current State: 82:[64, 59, 12, 18], Operations: []
Exploring Operation: 64+59=123, Resulting Numbers: [12, 18, 123]
Generated Node #2: [12, 18, 123] from Operation: 64+59=123
Current State: 82:[12, 18, 123], Operations: ['64+59=123']
Exploring Operation: 12*123=1476, Resulting Numbers: [18, 1476]
Generated Node #3: [18, 1476] from Operation: 12*123=1476
Current State: 82:[18, 1476], Operations: ['64+59=123', '12*123=1476']
Exploring Operation: 1476/18=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[64, 59, 12, 18], Operations: []
Exploring Operation: 64+18=82, Resulting Numbers: [59, 12, 82]
Generated Node #0,0: 82:[59, 12, 82] Operation: 64+18=82
Exploring Operation: 59-18=41, Resulting Numbers: [64, 12, 41]
Generated Node #0,1: 82:[64, 12, 41] Operation: 59-18=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[59, 12, 82], Operations: ['64+18=82']
Exploring Operation: 59+12=71, Resulting Numbers: [82, 71]
Generated Node #0,0,0: 82:[82, 71] Operation: 59+12=71
Exploring Operation: 59-12=47, Resulting Numbers: [82, 47]
Generated Node #0,0,1: 82:[82, 47] Operation: 59-12=47
Moving to Node #0,0,1
Current State: 82:[82, 47], Operations: ['64+18=82', '59-12=47']
Exploring Operation: 82-47=35, Resulting Numbers: [35]
35,82 unequal: No Solution
Exploring Operation: 82+47=129, Resulting Numbers: [129]
129,82 unequal: No Solution
Moving to Node #0,0,0
Current State: 82:[82, 71], Operations: ['64+18=82', '59+12=71']
Exploring Operation: 82-71=11, Resulting Numbers: [11]
11,82 unequal: No Solution
Exploring Operation: 82+71=153, Resulting Numbers: [153]
153,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[64, 12, 41], Operations: ['59-18=41']
Exploring Operation: 64+12=76, Resulting Numbers: [41, 76]
Generated Node #0,1,0: 82:[41, 76] Operation: 64+12=76
Exploring Operation: 64-12=52, Resulting Numbers: [41, 52]
Generated Node #0,1,1: 82:[41, 52] Operation: 64-12=52
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 82:[41, 76], Operations: ['59-18=41', '64+12=76']
Exploring Operation: 76-41=35, Resulting Numbers: [35]
35,82 unequal: No Solution
Exploring Operation: 41+76=117, Resulting Numbers: [117]
117,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 82:[41, 52], Operations: ['59-18=41', '64-12=52']
Exploring Operation: 52-41=11, Resulting Numbers: [11]
11,82 unequal: No Solution
Exploring Operation: 41+52=93, Resulting Numbers: [93]
93,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
82,
47,
93,
50
] | 78 | [
"82-47=35",
"93-50=43",
"35+43=78"
] | Current State: 78:[82, 47, 93, 50], Operations: []
Exploring Operation: 82-47=35, Resulting Numbers: [93, 50, 35]
Generated Node #2: [93, 50, 35] from Operation: 82-47=35
Current State: 78:[93, 50, 35], Operations: ['82-47=35']
Exploring Operation: 93-50=43, Resulting Numbers: [35, 43]
Generated Node #3: [35, 43] from Operation: 93-50=43
Current State: 78:[35, 43], Operations: ['82-47=35', '93-50=43']
Exploring Operation: 35+43=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[82, 47, 93, 50], Operations: []
Exploring Operation: 93-82=11, Resulting Numbers: [47, 50, 11]
Generated Node #0,0: 78:[47, 50, 11] Operation: 93-82=11
Exploring Operation: 93-50=43, Resulting Numbers: [82, 47, 43]
Generated Node #0,1: 78:[82, 47, 43] Operation: 93-50=43
Exploring Operation: 82-50=32, Resulting Numbers: [47, 93, 32]
Generated Node #0,2: 78:[47, 93, 32] Operation: 82-50=32
Exploring Operation: 93-47=46, Resulting Numbers: [82, 50, 46]
Generated Node #0,3: 78:[82, 50, 46] Operation: 93-47=46
Exploring Operation: 50-47=3, Resulting Numbers: [82, 93, 3]
Generated Node #0,4: 78:[82, 93, 3] Operation: 50-47=3
Moving to Node #0,1
Current State: 78:[82, 47, 43], Operations: ['93-50=43']
Exploring Operation: 82-47=35, Resulting Numbers: [43, 35]
Generated Node #0,1,0: 78:[43, 35] Operation: 82-47=35
Exploring Operation: 82-43=39, Resulting Numbers: [47, 39]
Generated Node #0,1,1: 78:[47, 39] Operation: 82-43=39
Exploring Operation: 82+47=129, Resulting Numbers: [43, 129]
Generated Node #0,1,2: 78:[43, 129] Operation: 82+47=129
Exploring Operation: 47+43=90, Resulting Numbers: [82, 90]
Generated Node #0,1,3: 78:[82, 90] Operation: 47+43=90
Exploring Operation: 47-43=4, Resulting Numbers: [82, 4]
Generated Node #0,1,4: 78:[82, 4] Operation: 47-43=4
Moving to Node #0,4
Current State: 78:[82, 93, 3], Operations: ['50-47=3']
Exploring Operation: 82-3=79, Resulting Numbers: [93, 79]
Generated Node #0,4,0: 78:[93, 79] Operation: 82-3=79
Exploring Operation: 93/3=31, Resulting Numbers: [82, 31]
Generated Node #0,4,1: 78:[82, 31] Operation: 93/3=31
Exploring Operation: 82+3=85, Resulting Numbers: [93, 85]
Generated Node #0,4,2: 78:[93, 85] Operation: 82+3=85
Exploring Operation: 93-82=11, Resulting Numbers: [3, 11]
Generated Node #0,4,3: 78:[3, 11] Operation: 93-82=11
Exploring Operation: 93-3=90, Resulting Numbers: [82, 90]
Generated Node #0,4,4: 78:[82, 90] Operation: 93-3=90
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 78:[3, 11], Operations: ['50-47=3', '93-82=11']
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,78 unequal: No Solution
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,78 unequal: No Solution
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,78 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 #0,4,1
Current State: 78:[82, 31], Operations: ['50-47=3', '93/3=31']
Exploring Operation: 82-31=51, Resulting Numbers: [51]
51,78 unequal: No Solution
Exploring Operation: 82*31=2542, Resulting Numbers: [2542]
2542,78 unequal: No Solution
Exploring Operation: 82+31=113, Resulting Numbers: [113]
113,78 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 #0,4,0
Current State: 78:[93, 79], Operations: ['50-47=3', '82-3=79']
Exploring Operation: 93+79=172, Resulting Numbers: [172]
172,78 unequal: No Solution
Exploring Operation: 93*79=7347, Resulting Numbers: [7347]
7347,78 unequal: No Solution
Exploring Operation: 93-79=14, Resulting Numbers: [14]
14,78 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 #0,4,4
Current State: 78:[82, 90], Operations: ['50-47=3', '93-3=90']
Exploring Operation: 90-82=8, Resulting Numbers: [8]
8,78 unequal: No Solution
Exploring Operation: 82+90=172, Resulting Numbers: [172]
172,78 unequal: No Solution
Exploring Operation: 82*90=7380, Resulting Numbers: [7380]
7380,78 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 #0,4,2
Current State: 78:[93, 85], Operations: ['50-47=3', '82+3=85']
Exploring Operation: 93-85=8, Resulting Numbers: [8]
8,78 unequal: No Solution
Exploring Operation: 93*85=7905, Resulting Numbers: [7905]
7905,78 unequal: No Solution
Exploring Operation: 93+85=178, Resulting Numbers: [178]
178,78 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: 78:[47, 50, 11], Operations: ['93-82=11']
Exploring Operation: 50-47=3, Resulting Numbers: [11, 3]
Generated Node #0,0,0: 78:[11, 3] Operation: 50-47=3
Exploring Operation: 50-11=39, Resulting Numbers: [47, 39]
Generated Node #0,0,1: 78:[47, 39] Operation: 50-11=39
Exploring Operation: 50+11=61, Resulting Numbers: [47, 61]
Generated Node #0,0,2: 78:[47, 61] Operation: 50+11=61
Exploring Operation: 47+50=97, Resulting Numbers: [11, 97]
Generated Node #0,0,3: 78:[11, 97] Operation: 47+50=97
Exploring Operation: 47-11=36, Resulting Numbers: [50, 36]
Generated Node #0,0,4: 78:[50, 36] Operation: 47-11=36
Moving to Node #0,3
Current State: 78:[82, 50, 46], Operations: ['93-47=46']
Exploring Operation: 82+50=132, Resulting Numbers: [46, 132]
Generated Node #0,3,0: 78:[46, 132] Operation: 82+50=132
Exploring Operation: 82-50=32, Resulting Numbers: [46, 32]
Generated Node #0,3,1: 78:[46, 32] Operation: 82-50=32
Exploring Operation: 50-46=4, Resulting Numbers: [82, 4]
Generated Node #0,3,2: 78:[82, 4] Operation: 50-46=4
Exploring Operation: 82-46=36, Resulting Numbers: [50, 36]
Generated Node #0,3,3: 78:[50, 36] Operation: 82-46=36
Exploring Operation: 50+46=96, Resulting Numbers: [82, 96]
Generated Node #0,3,4: 78:[82, 96] Operation: 50+46=96
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 78:[82, 4], Operations: ['93-47=46', '50-46=4']
Exploring Operation: 82*4=328, Resulting Numbers: [328]
328,78 unequal: No Solution
Exploring Operation: 82-4=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[82, 47, 93, 50], Operations: []
Exploring Operation: 93-47=46, Resulting Numbers: [82, 50, 46]
Generated Node #0,3: 78:[82, 50, 46] Operation: 93-47=46
Moving to Node #0,3
Current State: 78:[82, 50, 46], Operations: ['93-47=46']
Exploring Operation: 50-46=4, Resulting Numbers: [82, 4]
Generated Node #0,3,2: 78:[82, 4] Operation: 50-46=4
Moving to Node #0,3,2
Current State: 78:[82, 4], Operations: ['93-47=46', '50-46=4']
Exploring Operation: 82-4=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.960069 | hs_5 | mult_heuristic |
[
37,
70,
24,
34
] | 62 | [
"37-34=3",
"24/3=8",
"70-8=62"
] | Current State: 62:[37, 70, 24, 34], Operations: []
Exploring Operation: 37-34=3, Resulting Numbers: [70, 24, 3]
Generated Node #2: [70, 24, 3] from Operation: 37-34=3
Current State: 62:[70, 24, 3], Operations: ['37-34=3']
Exploring Operation: 24/3=8, Resulting Numbers: [70, 8]
Generated Node #3: [70, 8] from Operation: 24/3=8
Current State: 62:[70, 8], Operations: ['37-34=3', '24/3=8']
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[37, 70, 24, 34], Operations: []
Exploring Operation: 70-37=33, Resulting Numbers: [24, 34, 33]
Generated Node #0,0: 62:[24, 34, 33] Operation: 70-37=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[24, 34, 33], Operations: ['70-37=33']
Exploring Operation: 24+34=58, Resulting Numbers: [33, 58]
Generated Node #0,0,0: 62:[33, 58] Operation: 24+34=58
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 62:[33, 58], Operations: ['70-37=33', '24+34=58']
Exploring Operation: 58-33=25, Resulting Numbers: [25]
25,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
78,
25,
60,
31
] | 82 | [
"78-25=53",
"60-31=29",
"53+29=82"
] | Current State: 82:[78, 25, 60, 31], Operations: []
Exploring Operation: 78-25=53, Resulting Numbers: [60, 31, 53]
Generated Node #2: [60, 31, 53] from Operation: 78-25=53
Current State: 82:[60, 31, 53], Operations: ['78-25=53']
Exploring Operation: 60-31=29, Resulting Numbers: [53, 29]
Generated Node #3: [53, 29] from Operation: 60-31=29
Current State: 82:[53, 29], Operations: ['78-25=53', '60-31=29']
Exploring Operation: 53+29=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[78, 25, 60, 31], Operations: []
Exploring Operation: 25+60=85, Resulting Numbers: [78, 31, 85]
Generated Node #0,0: 82:[78, 31, 85] Operation: 25+60=85
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[78, 31, 85], Operations: ['25+60=85']
Exploring Operation: 78-31=47, Resulting Numbers: [85, 47]
Generated Node #0,0,0: 82:[85, 47] Operation: 78-31=47
Moving to Node #0,0,0
Current State: 82:[85, 47], Operations: ['25+60=85', '78-31=47']
Exploring Operation: 85-47=38, Resulting Numbers: [38]
38,82 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 |
[
86,
36,
46,
48
] | 99 | [
"86+46=132",
"36*132=4752",
"4752/48=99"
] | Current State: 99:[86, 36, 46, 48], Operations: []
Exploring Operation: 86+46=132, Resulting Numbers: [36, 48, 132]
Generated Node #2: [36, 48, 132] from Operation: 86+46=132
Current State: 99:[36, 48, 132], Operations: ['86+46=132']
Exploring Operation: 36*132=4752, Resulting Numbers: [48, 4752]
Generated Node #3: [48, 4752] from Operation: 36*132=4752
Current State: 99:[48, 4752], Operations: ['86+46=132', '36*132=4752']
Exploring Operation: 4752/48=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[86, 36, 46, 48], Operations: []
Exploring Operation: 86-46=40, Resulting Numbers: [36, 48, 40]
Generated Node #0,0: 99:[36, 48, 40] Operation: 86-46=40
Exploring Operation: 46+48=94, Resulting Numbers: [86, 36, 94]
Generated Node #0,1: 99:[86, 36, 94] Operation: 46+48=94
Exploring Operation: 86-48=38, Resulting Numbers: [36, 46, 38]
Generated Node #0,2: 99:[36, 46, 38] Operation: 86-48=38
Exploring Operation: 48-46=2, Resulting Numbers: [86, 36, 2]
Generated Node #0,3: 99:[86, 36, 2] Operation: 48-46=2
Moving to Node #0,3
Current State: 99:[86, 36, 2], Operations: ['48-46=2']
Exploring Operation: 86+2=88, Resulting Numbers: [36, 88]
Generated Node #0,3,0: 99:[36, 88] Operation: 86+2=88
Exploring Operation: 36-2=34, Resulting Numbers: [86, 34]
Generated Node #0,3,1: 99:[86, 34] Operation: 36-2=34
Exploring Operation: 86-36=50, Resulting Numbers: [2, 50]
Generated Node #0,3,2: 99:[2, 50] Operation: 86-36=50
Exploring Operation: 86/2=43, Resulting Numbers: [36, 43]
Generated Node #0,3,3: 99:[36, 43] Operation: 86/2=43
Moving to Node #0,2
Current State: 99:[36, 46, 38], Operations: ['86-48=38']
Exploring Operation: 46-38=8, Resulting Numbers: [36, 8]
Generated Node #0,2,0: 99:[36, 8] Operation: 46-38=8
Exploring Operation: 46+38=84, Resulting Numbers: [36, 84]
Generated Node #0,2,1: 99:[36, 84] Operation: 46+38=84
Exploring Operation: 38-36=2, Resulting Numbers: [46, 2]
Generated Node #0,2,2: 99:[46, 2] Operation: 38-36=2
Exploring Operation: 46-36=10, Resulting Numbers: [38, 10]
Generated Node #0,2,3: 99:[38, 10] Operation: 46-36=10
Moving to Node #0,1
Current State: 99:[86, 36, 94], Operations: ['46+48=94']
Exploring Operation: 86-36=50, Resulting Numbers: [94, 50]
Generated Node #0,1,0: 99:[94, 50] Operation: 86-36=50
Exploring Operation: 86+36=122, Resulting Numbers: [94, 122]
Generated Node #0,1,1: 99:[94, 122] Operation: 86+36=122
Exploring Operation: 94-36=58, Resulting Numbers: [86, 58]
Generated Node #0,1,2: 99:[86, 58] Operation: 94-36=58
Exploring Operation: 94-86=8, Resulting Numbers: [36, 8]
Generated Node #0,1,3: 99:[36, 8] Operation: 94-86=8
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 99:[36, 8], Operations: ['46+48=94', '94-86=8']
Exploring Operation: 36*8=288, Resulting Numbers: [288]
288,99 unequal: No Solution
Exploring Operation: 36+8=44, Resulting Numbers: [44]
44,99 unequal: No Solution
Exploring Operation: 36-8=28, Resulting Numbers: [28]
28,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 99:[94, 50], Operations: ['46+48=94', '86-36=50']
Exploring Operation: 94+50=144, Resulting Numbers: [144]
144,99 unequal: No Solution
Exploring Operation: 94-50=44, Resulting Numbers: [44]
44,99 unequal: No Solution
Exploring Operation: 94*50=4700, Resulting Numbers: [4700]
4700,99 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:[94, 122], Operations: ['46+48=94', '86+36=122']
Exploring Operation: 94*122=11468, Resulting Numbers: [11468]
11468,99 unequal: No Solution
Exploring Operation: 94+122=216, Resulting Numbers: [216]
216,99 unequal: No Solution
Exploring Operation: 122-94=28, Resulting Numbers: [28]
28,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 99:[86, 58], Operations: ['46+48=94', '94-36=58']
Exploring Operation: 86*58=4988, Resulting Numbers: [4988]
4988,99 unequal: No Solution
Exploring Operation: 86+58=144, Resulting Numbers: [144]
144,99 unequal: No Solution
Exploring Operation: 86-58=28, Resulting Numbers: [28]
28,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 99:[36, 48, 40], Operations: ['86-46=40']
Exploring Operation: 40-36=4, Resulting Numbers: [48, 4]
Generated Node #0,0,0: 99:[48, 4] Operation: 40-36=4
Exploring Operation: 48-40=8, Resulting Numbers: [36, 8]
Generated Node #0,0,1: 99:[36, 8] Operation: 48-40=8
Exploring Operation: 48+40=88, Resulting Numbers: [36, 88]
Generated Node #0,0,2: 99:[36, 88] Operation: 48+40=88
Exploring Operation: 48-36=12, Resulting Numbers: [40, 12]
Generated Node #0,0,3: 99:[40, 12] Operation: 48-36=12
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 99:[36, 8], Operations: ['86-46=40', '48-40=8']
Exploring Operation: 36*8=288, Resulting Numbers: [288]
288,99 unequal: No Solution
Exploring Operation: 36-8=28, Resulting Numbers: [28]
28,99 unequal: No Solution
Exploring Operation: 36+8=44, Resulting Numbers: [44]
44,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 99:[40, 12], Operations: ['86-46=40', '48-36=12']
Exploring Operation: 40*12=480, Resulting Numbers: [480]
480,99 unequal: No Solution
Exploring Operation: 40-12=28, Resulting Numbers: [28]
28,99 unequal: No Solution
Exploring Operation: 40+12=52, Resulting Numbers: [52]
52,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 99:[36, 88], Operations: ['86-46=40', '48+40=88']
Exploring Operation: 88-36=52, Resulting Numbers: [52]
52,99 unequal: No Solution
Exploring Operation: 36*88=3168, Resulting Numbers: [3168]
3168,99 unequal: No Solution
Exploring Operation: 36+88=124, Resulting Numbers: [124]
124,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 99:[48, 4], Operations: ['86-46=40', '40-36=4']
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,99 unequal: No Solution
Exploring Operation: 48*4=192, Resulting Numbers: [192]
192,99 unequal: No Solution
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,99 unequal: No Solution
Exploring Operation: 48+4=52, Resulting Numbers: [52]
52,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 99:[36, 8], Operations: ['86-48=38', '46-38=8']
Exploring Operation: 36-8=28, Resulting Numbers: [28]
28,99 unequal: No Solution
Exploring Operation: 36*8=288, Resulting Numbers: [288]
288,99 unequal: No Solution
Exploring Operation: 36+8=44, Resulting Numbers: [44]
44,99 unequal: No Solution
Moving to Node #0,2,3
Current State: 99:[38, 10], Operations: ['86-48=38', '46-36=10']
Exploring Operation: 38*10=380, Resulting Numbers: [380]
380,99 unequal: No Solution
Exploring Operation: 38-10=28, Resulting Numbers: [28]
28,99 unequal: No Solution
Exploring Operation: 38+10=48, Resulting Numbers: [48]
48,99 unequal: No Solution
Moving to Node #0,3,3
Current State: 99:[36, 43], Operations: ['48-46=2', '86/2=43']
Exploring Operation: 36*43=1548, Resulting Numbers: [1548]
1548,99 unequal: No Solution
Exploring Operation: 43-36=7, Resulting Numbers: [7]
7,99 unequal: No Solution
Exploring Operation: 36+43=79, Resulting Numbers: [79]
79,99 unequal: No Solution
Moving to Node #0,2,2
Current State: 99:[46, 2], Operations: ['86-48=38', '38-36=2']
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,99 unequal: No Solution
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,99 unequal: No Solution
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,99 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,99 unequal: No Solution
Moving to Node #0,3,1
Current State: 99:[86, 34], Operations: ['48-46=2', '36-2=34']
Exploring Operation: 86+34=120, Resulting Numbers: [120]
120,99 unequal: No Solution
Exploring Operation: 86-34=52, Resulting Numbers: [52]
52,99 unequal: No Solution
Exploring Operation: 86*34=2924, Resulting Numbers: [2924]
2924,99 unequal: No Solution
Moving to Node #0,3,0
Current State: 99:[36, 88], Operations: ['48-46=2', '86+2=88']
Exploring Operation: 36+88=124, Resulting Numbers: [124]
124,99 unequal: No Solution
Exploring Operation: 88-36=52, Resulting Numbers: [52]
52,99 unequal: No Solution
Exploring Operation: 36*88=3168, Resulting Numbers: [3168]
3168,99 unequal: No Solution
Moving to Node #0,3,2
Current State: 99:[2, 50], Operations: ['48-46=2', '86-36=50']
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,99 unequal: No Solution
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,99 unequal: No Solution
Exploring Operation: 2*50=100, Resulting Numbers: [100]
100,99 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,99 unequal: No Solution
Moving to Node #0,2,1
Current State: 99:[36, 84], Operations: ['86-48=38', '46+38=84']
Exploring Operation: 84-36=48, Resulting Numbers: [48]
48,99 unequal: No Solution
Exploring Operation: 36*84=3024, Resulting Numbers: [3024]
3024,99 unequal: No Solution
Exploring Operation: 36+84=120, Resulting Numbers: [120]
120,99 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
35,
70,
36,
95
] | 26 | [
"35+70=105",
"36+95=131",
"131-105=26"
] | Current State: 26:[35, 70, 36, 95], Operations: []
Exploring Operation: 35+70=105, Resulting Numbers: [36, 95, 105]
Generated Node #2: [36, 95, 105] from Operation: 35+70=105
Current State: 26:[36, 95, 105], Operations: ['35+70=105']
Exploring Operation: 36+95=131, Resulting Numbers: [105, 131]
Generated Node #3: [105, 131] from Operation: 36+95=131
Current State: 26:[105, 131], Operations: ['35+70=105', '36+95=131']
Exploring Operation: 131-105=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[35, 70, 36, 95], Operations: []
Exploring Operation: 95-70=25, Resulting Numbers: [35, 36, 25]
Generated Node #0,0: 26:[35, 36, 25] Operation: 95-70=25
Moving to Node #0,0
Current State: 26:[35, 36, 25], Operations: ['95-70=25']
Exploring Operation: 36-35=1, Resulting Numbers: [25, 1]
Generated Node #0,0,0: 26:[25, 1] Operation: 36-35=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 26:[25, 1], Operations: ['95-70=25', '36-35=1']
Exploring Operation: 25+1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[35, 70, 36, 95], Operations: []
Exploring Operation: 95-70=25, Resulting Numbers: [35, 36, 25]
Generated Node #0,0: 26:[35, 36, 25] Operation: 95-70=25
Moving to Node #0,0
Current State: 26:[35, 36, 25], Operations: ['95-70=25']
Exploring Operation: 36-35=1, Resulting Numbers: [25, 1]
Generated Node #0,0,0: 26:[25, 1] Operation: 36-35=1
Moving to Node #0,0,0
Current State: 26:[25, 1], Operations: ['95-70=25', '36-35=1']
Exploring Operation: 25+1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
15,
87,
64,
36
] | 100 | [
"87-15=72",
"64-36=28",
"72+28=100"
] | Current State: 100:[15, 87, 64, 36], Operations: []
Exploring Operation: 87-15=72, Resulting Numbers: [64, 36, 72]
Generated Node #2: [64, 36, 72] from Operation: 87-15=72
Current State: 100:[64, 36, 72], Operations: ['87-15=72']
Exploring Operation: 64-36=28, Resulting Numbers: [72, 28]
Generated Node #3: [72, 28] from Operation: 64-36=28
Current State: 100:[72, 28], Operations: ['87-15=72', '64-36=28']
Exploring Operation: 72+28=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[15, 87, 64, 36], Operations: []
Exploring Operation: 87-64=23, Resulting Numbers: [15, 36, 23]
Generated Node #0,0: 100:[15, 36, 23] Operation: 87-64=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[15, 36, 23], Operations: ['87-64=23']
Exploring Operation: 15+36=51, Resulting Numbers: [23, 51]
Generated Node #0,0,0: 100:[23, 51] Operation: 15+36=51
Moving to Node #0,0,0
Current State: 100:[23, 51], Operations: ['87-64=23', '15+36=51']
Exploring Operation: 51-23=28, Resulting Numbers: [28]
28,100 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 |
[
1,
65,
64,
41
] | 40 | [
"1*65=65",
"64+41=105",
"105-65=40"
] | Current State: 40:[1, 65, 64, 41], Operations: []
Exploring Operation: 1*65=65, Resulting Numbers: [64, 41, 65]
Generated Node #2: [64, 41, 65] from Operation: 1*65=65
Current State: 40:[64, 41, 65], Operations: ['1*65=65']
Exploring Operation: 64+41=105, Resulting Numbers: [65, 105]
Generated Node #3: [65, 105] from Operation: 64+41=105
Current State: 40:[65, 105], Operations: ['1*65=65', '64+41=105']
Exploring Operation: 105-65=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[1, 65, 64, 41], Operations: []
Exploring Operation: 65-64=1, Resulting Numbers: [1, 41, 1]
Generated Node #0,0: 40:[1, 41, 1] Operation: 65-64=1
Exploring Operation: 65-41=24, Resulting Numbers: [1, 64, 24]
Generated Node #0,1: 40:[1, 64, 24] Operation: 65-41=24
Moving to Node #0,0
Current State: 40:[1, 41, 1], Operations: ['65-64=1']
Exploring Operation: 41-1=40, Resulting Numbers: [1, 40]
Generated Node #0,0,0: 40:[1, 40] Operation: 41-1=40
Exploring Operation: 1+1=2, Resulting Numbers: [41, 2]
Generated Node #0,0,1: 40:[41, 2] Operation: 1+1=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 40:[1, 40], Operations: ['65-64=1', '41-1=40']
Exploring Operation: 1*40=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[1, 65, 64, 41], Operations: []
Exploring Operation: 65-64=1, Resulting Numbers: [1, 41, 1]
Generated Node #0,0: 40:[1, 41, 1] Operation: 65-64=1
Moving to Node #0,0
Current State: 40:[1, 41, 1], Operations: ['65-64=1']
Exploring Operation: 41-1=40, Resulting Numbers: [1, 40]
Generated Node #0,0,0: 40:[1, 40] Operation: 41-1=40
Moving to Node #0,0,0
Current State: 40:[1, 40], Operations: ['65-64=1', '41-1=40']
Exploring Operation: 1*40=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
39,
68,
38,
50
] | 65 | [
"39*50=1950",
"68-38=30",
"1950/30=65"
] | Current State: 65:[39, 68, 38, 50], Operations: []
Exploring Operation: 39*50=1950, Resulting Numbers: [68, 38, 1950]
Generated Node #2: [68, 38, 1950] from Operation: 39*50=1950
Current State: 65:[68, 38, 1950], Operations: ['39*50=1950']
Exploring Operation: 68-38=30, Resulting Numbers: [1950, 30]
Generated Node #3: [1950, 30] from Operation: 68-38=30
Current State: 65:[1950, 30], Operations: ['39*50=1950', '68-38=30']
Exploring Operation: 1950/30=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[39, 68, 38, 50], Operations: []
Exploring Operation: 39+50=89, Resulting Numbers: [68, 38, 89]
Generated Node #0,0: 65:[68, 38, 89] Operation: 39+50=89
Exploring Operation: 39+38=77, Resulting Numbers: [68, 50, 77]
Generated Node #0,1: 65:[68, 50, 77] Operation: 39+38=77
Exploring Operation: 39-38=1, Resulting Numbers: [68, 50, 1]
Generated Node #0,2: 65:[68, 50, 1] Operation: 39-38=1
Exploring Operation: 50-38=12, Resulting Numbers: [39, 68, 12]
Generated Node #0,3: 65:[39, 68, 12] Operation: 50-38=12
Exploring Operation: 50-39=11, Resulting Numbers: [68, 38, 11]
Generated Node #0,4: 65:[68, 38, 11] Operation: 50-39=11
Start Sub Search at level 1: Moving to Node #0,2
Current State: 65:[68, 50, 1], Operations: ['39-38=1']
Exploring Operation: 68*1=68, Resulting Numbers: [50, 68]
Generated Node #0,2,0: 65:[50, 68] Operation: 68*1=68
Exploring Operation: 68-50=18, Resulting Numbers: [1, 18]
Generated Node #0,2,1: 65:[1, 18] Operation: 68-50=18
Exploring Operation: 68/1=68, Resulting Numbers: [50, 68]
Generated Node #0,2,2: 65:[50, 68] Operation: 68/1=68
Exploring Operation: 68-1=67, Resulting Numbers: [50, 67]
Generated Node #0,2,3: 65:[50, 67] Operation: 68-1=67
Exploring Operation: 50+1=51, Resulting Numbers: [68, 51]
Generated Node #0,2,4: 65:[68, 51] Operation: 50+1=51
Moving to Node #0,2,1
Current State: 65:[1, 18], Operations: ['39-38=1', '68-50=18']
Exploring Operation: 1*18=18, Resulting Numbers: [18]
18,65 unequal: No Solution
Exploring Operation: 1+18=19, Resulting Numbers: [19]
19,65 unequal: No Solution
Exploring Operation: 18/1=18, Resulting Numbers: [18]
18,65 unequal: No Solution
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,65 unequal: No Solution
Moving to Node #0,2,4
Current State: 65:[68, 51], Operations: ['39-38=1', '50+1=51']
Exploring Operation: 68*51=3468, Resulting Numbers: [3468]
3468,65 unequal: No Solution
Exploring Operation: 68-51=17, Resulting Numbers: [17]
17,65 unequal: No Solution
Exploring Operation: 68+51=119, Resulting Numbers: [119]
119,65 unequal: No Solution
Moving to Node #0,2,3
Current State: 65:[50, 67], Operations: ['39-38=1', '68-1=67']
Exploring Operation: 50+67=117, Resulting Numbers: [117]
117,65 unequal: No Solution
Exploring Operation: 67-50=17, Resulting Numbers: [17]
17,65 unequal: No Solution
Exploring Operation: 50*67=3350, Resulting Numbers: [3350]
3350,65 unequal: No Solution
Moving to Node #0,2,0
Current State: 65:[50, 68], Operations: ['39-38=1', '68*1=68']
Exploring Operation: 50+68=118, Resulting Numbers: [118]
118,65 unequal: No Solution
Exploring Operation: 68-50=18, Resulting Numbers: [18]
18,65 unequal: No Solution
Exploring Operation: 50*68=3400, Resulting Numbers: [3400]
3400,65 unequal: No Solution
Moving to Node #0,2,2
Current State: 65:[50, 68], Operations: ['39-38=1', '68/1=68']
Exploring Operation: 68-50=18, Resulting Numbers: [18]
18,65 unequal: No Solution
Exploring Operation: 50*68=3400, Resulting Numbers: [3400]
3400,65 unequal: No Solution
Exploring Operation: 50+68=118, Resulting Numbers: [118]
118,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[68, 50, 77], Operations: ['39+38=77']
Exploring Operation: 77-68=9, Resulting Numbers: [50, 9]
Generated Node #0,1,0: 65:[50, 9] Operation: 77-68=9
Exploring Operation: 77-50=27, Resulting Numbers: [68, 27]
Generated Node #0,1,1: 65:[68, 27] Operation: 77-50=27
Exploring Operation: 68-50=18, Resulting Numbers: [77, 18]
Generated Node #0,1,2: 65:[77, 18] Operation: 68-50=18
Exploring Operation: 50+77=127, Resulting Numbers: [68, 127]
Generated Node #0,1,3: 65:[68, 127] Operation: 50+77=127
Exploring Operation: 68+50=118, Resulting Numbers: [77, 118]
Generated Node #0,1,4: 65:[77, 118] Operation: 68+50=118
Moving to Node #0,1,1
Current State: 65:[68, 27], Operations: ['39+38=77', '77-50=27']
Exploring Operation: 68-27=41, Resulting Numbers: [41]
41,65 unequal: No Solution
Exploring Operation: 68*27=1836, Resulting Numbers: [1836]
1836,65 unequal: No Solution
Exploring Operation: 68+27=95, Resulting Numbers: [95]
95,65 unequal: No Solution
Moving to Node #0,1,2
Current State: 65:[77, 18], Operations: ['39+38=77', '68-50=18']
Exploring Operation: 77*18=1386, Resulting Numbers: [1386]
1386,65 unequal: No Solution
Exploring Operation: 77+18=95, Resulting Numbers: [95]
95,65 unequal: No Solution
Exploring Operation: 77-18=59, Resulting Numbers: [59]
59,65 unequal: No Solution
Moving to Node #0,1,0
Current State: 65:[50, 9], Operations: ['39+38=77', '77-68=9']
Exploring Operation: 50*9=450, Resulting Numbers: [450]
450,65 unequal: No Solution
Exploring Operation: 50-9=41, Resulting Numbers: [41]
41,65 unequal: No Solution
Exploring Operation: 50+9=59, Resulting Numbers: [59]
59,65 unequal: No Solution
Moving to Node #0,1,3
Current State: 65:[68, 127], Operations: ['39+38=77', '50+77=127']
Exploring Operation: 68*127=8636, Resulting Numbers: [8636]
8636,65 unequal: No Solution
Exploring Operation: 127-68=59, Resulting Numbers: [59]
59,65 unequal: No Solution
Exploring Operation: 68+127=195, Resulting Numbers: [195]
195,65 unequal: No Solution
Moving to Node #0,1,4
Current State: 65:[77, 118], Operations: ['39+38=77', '68+50=118']
Exploring Operation: 77+118=195, Resulting Numbers: [195]
195,65 unequal: No Solution
Exploring Operation: 118-77=41, Resulting Numbers: [41]
41,65 unequal: No Solution
Exploring Operation: 77*118=9086, Resulting Numbers: [9086]
9086,65 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 #0,3
Current State: 65:[39, 68, 12], Operations: ['50-38=12']
Exploring Operation: 39+12=51, Resulting Numbers: [68, 51]
Generated Node #0,3,0: 65:[68, 51] Operation: 39+12=51
Exploring Operation: 68-12=56, Resulting Numbers: [39, 56]
Generated Node #0,3,1: 65:[39, 56] Operation: 68-12=56
Exploring Operation: 39-12=27, Resulting Numbers: [68, 27]
Generated Node #0,3,2: 65:[68, 27] Operation: 39-12=27
Exploring Operation: 68-39=29, Resulting Numbers: [12, 29]
Generated Node #0,3,3: 65:[12, 29] Operation: 68-39=29
Exploring Operation: 68+12=80, Resulting Numbers: [39, 80]
Generated Node #0,3,4: 65:[39, 80] Operation: 68+12=80
Moving to Node #0,3,0
Current State: 65:[68, 51], Operations: ['50-38=12', '39+12=51']
Exploring Operation: 68*51=3468, Resulting Numbers: [3468]
3468,65 unequal: No Solution
Exploring Operation: 68-51=17, Resulting Numbers: [17]
17,65 unequal: No Solution
Exploring Operation: 68+51=119, Resulting Numbers: [119]
119,65 unequal: No Solution
Moving to Node #0,3,3
Current State: 65:[12, 29], Operations: ['50-38=12', '68-39=29']
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,65 unequal: No Solution
Exploring Operation: 12*29=348, Resulting Numbers: [348]
348,65 unequal: No Solution
Exploring Operation: 12+29=41, Resulting Numbers: [41]
41,65 unequal: No Solution
Moving to Node #0,3,2
Current State: 65:[68, 27], Operations: ['50-38=12', '39-12=27']
Exploring Operation: 68-27=41, Resulting Numbers: [41]
41,65 unequal: No Solution
Exploring Operation: 68+27=95, Resulting Numbers: [95]
95,65 unequal: No Solution
Exploring Operation: 68*27=1836, Resulting Numbers: [1836]
1836,65 unequal: No Solution
Moving to Node #0,3,1
Current State: 65:[39, 56], Operations: ['50-38=12', '68-12=56']
Exploring Operation: 39*56=2184, Resulting Numbers: [2184]
2184,65 unequal: No Solution
Exploring Operation: 39+56=95, Resulting Numbers: [95]
95,65 unequal: No Solution
Exploring Operation: 56-39=17, Resulting Numbers: [17]
17,65 unequal: No Solution
Moving to Node #0,3,4
Current State: 65:[39, 80], Operations: ['50-38=12', '68+12=80']
Exploring Operation: 39*80=3120, Resulting Numbers: [3120]
3120,65 unequal: No Solution
Exploring Operation: 39+80=119, Resulting Numbers: [119]
119,65 unequal: No Solution
Exploring Operation: 80-39=41, Resulting Numbers: [41]
41,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 65:[68, 38, 11], Operations: ['50-39=11']
Exploring Operation: 38-11=27, Resulting Numbers: [68, 27]
Generated Node #0,4,0: 65:[68, 27] Operation: 38-11=27
Exploring Operation: 68-38=30, Resulting Numbers: [11, 30]
Generated Node #0,4,1: 65:[11, 30] Operation: 68-38=30
Exploring Operation: 68-11=57, Resulting Numbers: [38, 57]
Generated Node #0,4,2: 65:[38, 57] Operation: 68-11=57
Exploring Operation: 38+11=49, Resulting Numbers: [68, 49]
Generated Node #0,4,3: 65:[68, 49] Operation: 38+11=49
Exploring Operation: 68+11=79, Resulting Numbers: [38, 79]
Generated Node #0,4,4: 65:[38, 79] Operation: 68+11=79
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 65:[68, 27], Operations: ['50-39=11', '38-11=27']
Exploring Operation: 68+27=95, Resulting Numbers: [95]
95,65 unequal: No Solution
Exploring Operation: 68*27=1836, Resulting Numbers: [1836]
1836,65 unequal: No Solution
Exploring Operation: 68-27=41, Resulting Numbers: [41]
41,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 65:[11, 30], Operations: ['50-39=11', '68-38=30']
Exploring Operation: 11+30=41, Resulting Numbers: [41]
41,65 unequal: No Solution
Exploring Operation: 11*30=330, Resulting Numbers: [330]
330,65 unequal: No Solution
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 65:[68, 49], Operations: ['50-39=11', '38+11=49']
Exploring Operation: 68-49=19, Resulting Numbers: [19]
19,65 unequal: No Solution
Exploring Operation: 68*49=3332, Resulting Numbers: [3332]
3332,65 unequal: No Solution
Exploring Operation: 68+49=117, Resulting Numbers: [117]
117,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 65:[38, 57], Operations: ['50-39=11', '68-11=57']
Exploring Operation: 38*57=2166, Resulting Numbers: [2166]
2166,65 unequal: No Solution
Exploring Operation: 57-38=19, Resulting Numbers: [19]
19,65 unequal: No Solution
Exploring Operation: 38+57=95, Resulting Numbers: [95]
95,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 65:[38, 79], Operations: ['50-39=11', '68+11=79']
Exploring Operation: 38+79=117, Resulting Numbers: [117]
117,65 unequal: No Solution
Exploring Operation: 79-38=41, Resulting Numbers: [41]
41,65 unequal: No Solution
Exploring Operation: 38*79=3002, Resulting Numbers: [3002]
3002,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[68, 38, 89], Operations: ['39+50=89']
Exploring Operation: 68+38=106, Resulting Numbers: [89, 106]
Generated Node #0,0,0: 65:[89, 106] Operation: 68+38=106
Exploring Operation: 38+89=127, Resulting Numbers: [68, 127]
Generated Node #0,0,1: 65:[68, 127] Operation: 38+89=127
Exploring Operation: 68-38=30, Resulting Numbers: [89, 30]
Generated Node #0,0,2: 65:[89, 30] Operation: 68-38=30
Exploring Operation: 89-38=51, Resulting Numbers: [68, 51]
Generated Node #0,0,3: 65:[68, 51] Operation: 89-38=51
Exploring Operation: 89-68=21, Resulting Numbers: [38, 21]
Generated Node #0,0,4: 65:[38, 21] Operation: 89-68=21
Moving to Node #0,0,3
Current State: 65:[68, 51], Operations: ['39+50=89', '89-38=51']
Exploring Operation: 68*51=3468, Resulting Numbers: [3468]
3468,65 unequal: No Solution
Exploring Operation: 68+51=119, Resulting Numbers: [119]
119,65 unequal: No Solution
Exploring Operation: 68-51=17, Resulting Numbers: [17]
17,65 unequal: No Solution
Moving to Node #0,0,4
Current State: 65:[38, 21], Operations: ['39+50=89', '89-68=21']
Exploring Operation: 38+21=59, Resulting Numbers: [59]
59,65 unequal: No Solution
Exploring Operation: 38*21=798, Resulting Numbers: [798]
798,65 unequal: No Solution
Exploring Operation: 38-21=17, Resulting Numbers: [17]
17,65 unequal: No Solution
Moving to Node #0,0,2
Current State: 65:[89, 30], Operations: ['39+50=89', '68-38=30']
Exploring Operation: 89+30=119, Resulting Numbers: [119]
119,65 unequal: No Solution
Exploring Operation: 89*30=2670, Resulting Numbers: [2670]
2670,65 unequal: No Solution
Exploring Operation: 89-30=59, Resulting Numbers: [59]
59,65 unequal: No Solution
Moving to Node #0,0,0
Current State: 65:[89, 106], Operations: ['39+50=89', '68+38=106']
Exploring Operation: 89+106=195, Resulting Numbers: [195]
195,65 unequal: No Solution
Exploring Operation: 89*106=9434, Resulting Numbers: [9434]
9434,65 unequal: No Solution
Exploring Operation: 106-89=17, Resulting Numbers: [17]
17,65 unequal: No Solution
Moving to Node #0,0,1
Current State: 65:[68, 127], Operations: ['39+50=89', '38+89=127']
Exploring Operation: 68+127=195, Resulting Numbers: [195]
195,65 unequal: No Solution
Exploring Operation: 127-68=59, Resulting Numbers: [59]
59,65 unequal: No Solution
Exploring Operation: 68*127=8636, Resulting Numbers: [8636]
8636,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
25,
27,
3,
70
] | 15 | [
"25+27=52",
"70-3=67",
"67-52=15"
] | Current State: 15:[25, 27, 3, 70], Operations: []
Exploring Operation: 25+27=52, Resulting Numbers: [3, 70, 52]
Generated Node #2: [3, 70, 52] from Operation: 25+27=52
Current State: 15:[3, 70, 52], Operations: ['25+27=52']
Exploring Operation: 70-3=67, Resulting Numbers: [52, 67]
Generated Node #3: [52, 67] from Operation: 70-3=67
Current State: 15:[52, 67], Operations: ['25+27=52', '70-3=67']
Exploring Operation: 67-52=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[25, 27, 3, 70], Operations: []
Exploring Operation: 70-25=45, Resulting Numbers: [27, 3, 45]
Generated Node #0,0: 15:[27, 3, 45] Operation: 70-25=45
Exploring Operation: 70-27=43, Resulting Numbers: [25, 3, 43]
Generated Node #0,1: 15:[25, 3, 43] Operation: 70-27=43
Exploring Operation: 27-25=2, Resulting Numbers: [3, 70, 2]
Generated Node #0,2: 15:[3, 70, 2] Operation: 27-25=2
Moving to Node #0,1
Current State: 15:[25, 3, 43], Operations: ['70-27=43']
Exploring Operation: 25-3=22, Resulting Numbers: [43, 22]
Generated Node #0,1,0: 15:[43, 22] Operation: 25-3=22
Exploring Operation: 43-3=40, Resulting Numbers: [25, 40]
Generated Node #0,1,1: 15:[25, 40] Operation: 43-3=40
Exploring Operation: 43-25=18, Resulting Numbers: [3, 18]
Generated Node #0,1,2: 15:[3, 18] Operation: 43-25=18
Moving to Node #0,0
Current State: 15:[27, 3, 45], Operations: ['70-25=45']
Exploring Operation: 45/3=15, Resulting Numbers: [27, 15]
Generated Node #0,0,0: 15:[27, 15] Operation: 45/3=15
Exploring Operation: 45-27=18, Resulting Numbers: [3, 18]
Generated Node #0,0,1: 15:[3, 18] Operation: 45-27=18
Exploring Operation: 27/3=9, Resulting Numbers: [45, 9]
Generated Node #0,0,2: 15:[45, 9] Operation: 27/3=9
Moving to Node #0,2
Current State: 15:[3, 70, 2], Operations: ['27-25=2']
Exploring Operation: 70/2=35, Resulting Numbers: [3, 35]
Generated Node #0,2,0: 15:[3, 35] Operation: 70/2=35
Exploring Operation: 70-2=68, Resulting Numbers: [3, 68]
Generated Node #0,2,1: 15:[3, 68] Operation: 70-2=68
Exploring Operation: 70-3=67, Resulting Numbers: [2, 67]
Generated Node #0,2,2: 15:[2, 67] Operation: 70-3=67
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 15:[3, 35], Operations: ['27-25=2', '70/2=35']
Exploring Operation: 3+35=38, Resulting Numbers: [38]
38,15 unequal: No Solution
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,15 unequal: No Solution
Exploring Operation: 3*35=105, Resulting Numbers: [105]
105,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 15:[3, 68], Operations: ['27-25=2', '70-2=68']
Exploring Operation: 3+68=71, Resulting Numbers: [71]
71,15 unequal: No Solution
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,15 unequal: No Solution
Exploring Operation: 3*68=204, Resulting Numbers: [204]
204,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 15:[2, 67], Operations: ['27-25=2', '70-3=67']
Exploring Operation: 2+67=69, Resulting Numbers: [69]
69,15 unequal: No Solution
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,15 unequal: No Solution
Exploring Operation: 2*67=134, Resulting Numbers: [134]
134,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 15:[3, 18], Operations: ['70-27=43', '43-25=18']
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Exploring Operation: 3+18=21, Resulting Numbers: [21]
21,15 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[25, 27, 3, 70], Operations: []
Exploring Operation: 70-27=43, Resulting Numbers: [25, 3, 43]
Generated Node #0,1: 15:[25, 3, 43] Operation: 70-27=43
Moving to Node #0,1
Current State: 15:[25, 3, 43], Operations: ['70-27=43']
Exploring Operation: 43-25=18, Resulting Numbers: [3, 18]
Generated Node #0,1,2: 15:[3, 18] Operation: 43-25=18
Moving to Node #0,1,2
Current State: 15:[3, 18], Operations: ['70-27=43', '43-25=18']
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 0.975694 | hs_3 | mult_heuristic |
[
38,
60,
7,
73
] | 53 | [
"73-60=13",
"7*13=91",
"91-38=53"
] | Current State: 53:[38, 60, 7, 73], Operations: []
Exploring Operation: 73-60=13, Resulting Numbers: [38, 7, 13]
Generated Node #2: [38, 7, 13] from Operation: 73-60=13
Current State: 53:[38, 7, 13], Operations: ['73-60=13']
Exploring Operation: 7*13=91, Resulting Numbers: [38, 91]
Generated Node #3: [38, 91] from Operation: 7*13=91
Current State: 53:[38, 91], Operations: ['73-60=13', '7*13=91']
Exploring Operation: 91-38=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[38, 60, 7, 73], Operations: []
Exploring Operation: 73-7=66, Resulting Numbers: [38, 60, 66]
Generated Node #0,0: 53:[38, 60, 66] Operation: 73-7=66
Exploring Operation: 38+7=45, Resulting Numbers: [60, 73, 45]
Generated Node #0,1: 53:[60, 73, 45] Operation: 38+7=45
Exploring Operation: 60-7=53, Resulting Numbers: [38, 73, 53]
Generated Node #0,2: 53:[38, 73, 53] Operation: 60-7=53
Moving to Node #0,0
Current State: 53:[38, 60, 66], Operations: ['73-7=66']
Exploring Operation: 66-38=28, Resulting Numbers: [60, 28]
Generated Node #0,0,0: 53:[60, 28] Operation: 66-38=28
Exploring Operation: 60-38=22, Resulting Numbers: [66, 22]
Generated Node #0,0,1: 53:[66, 22] Operation: 60-38=22
Exploring Operation: 38+60=98, Resulting Numbers: [66, 98]
Generated Node #0,0,2: 53:[66, 98] Operation: 38+60=98
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[60, 28], Operations: ['73-7=66', '66-38=28']
Exploring Operation: 60+28=88, Resulting Numbers: [88]
88,53 unequal: No Solution
Exploring Operation: 60*28=1680, Resulting Numbers: [1680]
1680,53 unequal: No Solution
Exploring Operation: 60-28=32, Resulting Numbers: [32]
32,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 53:[66, 22], Operations: ['73-7=66', '60-38=22']
Exploring Operation: 66/22=3, Resulting Numbers: [3]
3,53 unequal: No Solution
Exploring Operation: 66+22=88, Resulting Numbers: [88]
88,53 unequal: No Solution
Exploring Operation: 66-22=44, Resulting Numbers: [44]
44,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 53:[66, 98], Operations: ['73-7=66', '38+60=98']
Exploring Operation: 66*98=6468, Resulting Numbers: [6468]
6468,53 unequal: No Solution
Exploring Operation: 98-66=32, Resulting Numbers: [32]
32,53 unequal: No Solution
Exploring Operation: 66+98=164, Resulting Numbers: [164]
164,53 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: 53:[60, 73, 45], Operations: ['38+7=45']
Exploring Operation: 60-45=15, Resulting Numbers: [73, 15]
Generated Node #0,1,0: 53:[73, 15] Operation: 60-45=15
Exploring Operation: 73-60=13, Resulting Numbers: [45, 13]
Generated Node #0,1,1: 53:[45, 13] Operation: 73-60=13
Exploring Operation: 73-45=28, Resulting Numbers: [60, 28]
Generated Node #0,1,2: 53:[60, 28] Operation: 73-45=28
Moving to Node #0,2
Current State: 53:[38, 73, 53], Operations: ['60-7=53']
Exploring Operation: 73-53=20, Resulting Numbers: [38, 20]
Generated Node #0,2,0: 53:[38, 20] Operation: 73-53=20
Exploring Operation: 38+73=111, Resulting Numbers: [53, 111]
Generated Node #0,2,1: 53:[53, 111] Operation: 38+73=111
Exploring Operation: 73-38=35, Resulting Numbers: [53, 35]
Generated Node #0,2,2: 53:[53, 35] Operation: 73-38=35
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 53:[53, 35], Operations: ['60-7=53', '73-38=35']
Exploring Operation: 53*35=1855, Resulting Numbers: [1855]
1855,53 unequal: No Solution
Exploring Operation: 53-35=18, Resulting Numbers: [18]
18,53 unequal: No Solution
Exploring Operation: 53+35=88, Resulting Numbers: [88]
88,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 53:[38, 20], Operations: ['60-7=53', '73-53=20']
Exploring Operation: 38+20=58, Resulting Numbers: [58]
58,53 unequal: No Solution
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,53 unequal: No Solution
Exploring Operation: 38*20=760, Resulting Numbers: [760]
760,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 53:[53, 111], Operations: ['60-7=53', '38+73=111']
Exploring Operation: 53+111=164, Resulting Numbers: [164]
164,53 unequal: No Solution
Exploring Operation: 111-53=58, Resulting Numbers: [58]
58,53 unequal: No Solution
Exploring Operation: 53*111=5883, Resulting Numbers: [5883]
5883,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 53:[60, 28], Operations: ['38+7=45', '73-45=28']
Exploring Operation: 60*28=1680, Resulting Numbers: [1680]
1680,53 unequal: No Solution
Exploring Operation: 60+28=88, Resulting Numbers: [88]
88,53 unequal: No Solution
Exploring Operation: 60-28=32, Resulting Numbers: [32]
32,53 unequal: No Solution
Moving to Node #0,1,1
Current State: 53:[45, 13], Operations: ['38+7=45', '73-60=13']
Exploring Operation: 45*13=585, Resulting Numbers: [585]
585,53 unequal: No Solution
Exploring Operation: 45+13=58, Resulting Numbers: [58]
58,53 unequal: No Solution
Exploring Operation: 45-13=32, Resulting Numbers: [32]
32,53 unequal: No Solution
Moving to Node #0,1,0
Current State: 53:[73, 15], Operations: ['38+7=45', '60-45=15']
Exploring Operation: 73+15=88, Resulting Numbers: [88]
88,53 unequal: No Solution
Exploring Operation: 73*15=1095, Resulting Numbers: [1095]
1095,53 unequal: No Solution
Exploring Operation: 73-15=58, Resulting Numbers: [58]
58,53 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
50,
3,
46,
88
] | 25 | [
"50-46=4",
"88/4=22",
"3+22=25"
] | Current State: 25:[50, 3, 46, 88], Operations: []
Exploring Operation: 50-46=4, Resulting Numbers: [3, 88, 4]
Generated Node #2: [3, 88, 4] from Operation: 50-46=4
Current State: 25:[3, 88, 4], Operations: ['50-46=4']
Exploring Operation: 88/4=22, Resulting Numbers: [3, 22]
Generated Node #3: [3, 22] from Operation: 88/4=22
Current State: 25:[3, 22], Operations: ['50-46=4', '88/4=22']
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[50, 3, 46, 88], Operations: []
Exploring Operation: 88-50=38, Resulting Numbers: [3, 46, 38]
Generated Node #0,0: 25:[3, 46, 38] Operation: 88-50=38
Exploring Operation: 50-46=4, Resulting Numbers: [3, 88, 4]
Generated Node #0,1: 25:[3, 88, 4] Operation: 50-46=4
Exploring Operation: 50-3=47, Resulting Numbers: [46, 88, 47]
Generated Node #0,2: 25:[46, 88, 47] Operation: 50-3=47
Exploring Operation: 88-46=42, Resulting Numbers: [50, 3, 42]
Generated Node #0,3: 25:[50, 3, 42] Operation: 88-46=42
Moving to Node #0,0
Current State: 25:[3, 46, 38], Operations: ['88-50=38']
Exploring Operation: 38-3=35, Resulting Numbers: [46, 35]
Generated Node #0,0,0: 25:[46, 35] Operation: 38-3=35
Exploring Operation: 46-38=8, Resulting Numbers: [3, 8]
Generated Node #0,0,1: 25:[3, 8] Operation: 46-38=8
Exploring Operation: 3+46=49, Resulting Numbers: [38, 49]
Generated Node #0,0,2: 25:[38, 49] Operation: 3+46=49
Exploring Operation: 46-3=43, Resulting Numbers: [38, 43]
Generated Node #0,0,3: 25:[38, 43] Operation: 46-3=43
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 25:[3, 8], Operations: ['88-50=38', '46-38=8']
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,25 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 25:[46, 35], Operations: ['88-50=38', '38-3=35']
Exploring Operation: 46*35=1610, Resulting Numbers: [1610]
1610,25 unequal: No Solution
Exploring Operation: 46+35=81, Resulting Numbers: [81]
81,25 unequal: No Solution
Exploring Operation: 46-35=11, Resulting Numbers: [11]
11,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 25:[38, 43], Operations: ['88-50=38', '46-3=43']
Exploring Operation: 38+43=81, Resulting Numbers: [81]
81,25 unequal: No Solution
Exploring Operation: 43-38=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 38*43=1634, Resulting Numbers: [1634]
1634,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 25:[38, 49], Operations: ['88-50=38', '3+46=49']
Exploring Operation: 49-38=11, Resulting Numbers: [11]
11,25 unequal: No Solution
Exploring Operation: 38+49=87, Resulting Numbers: [87]
87,25 unequal: No Solution
Exploring Operation: 38*49=1862, Resulting Numbers: [1862]
1862,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 25:[50, 3, 42], Operations: ['88-46=42']
Exploring Operation: 42/3=14, Resulting Numbers: [50, 14]
Generated Node #0,3,0: 25:[50, 14] Operation: 42/3=14
Exploring Operation: 50-42=8, Resulting Numbers: [3, 8]
Generated Node #0,3,1: 25:[3, 8] Operation: 50-42=8
Exploring Operation: 50-3=47, Resulting Numbers: [42, 47]
Generated Node #0,3,2: 25:[42, 47] Operation: 50-3=47
Exploring Operation: 42-3=39, Resulting Numbers: [50, 39]
Generated Node #0,3,3: 25:[50, 39] Operation: 42-3=39
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 25:[3, 8], Operations: ['88-46=42', '50-42=8']
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,25 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 25:[50, 14], Operations: ['88-46=42', '42/3=14']
Exploring Operation: 50+14=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 50-14=36, Resulting Numbers: [36]
36,25 unequal: No Solution
Exploring Operation: 50*14=700, Resulting Numbers: [700]
700,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 25:[42, 47], Operations: ['88-46=42', '50-3=47']
Exploring Operation: 42*47=1974, Resulting Numbers: [1974]
1974,25 unequal: No Solution
Exploring Operation: 47-42=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 42+47=89, Resulting Numbers: [89]
89,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 25:[50, 39], Operations: ['88-46=42', '42-3=39']
Exploring Operation: 50*39=1950, Resulting Numbers: [1950]
1950,25 unequal: No Solution
Exploring Operation: 50+39=89, Resulting Numbers: [89]
89,25 unequal: No Solution
Exploring Operation: 50-39=11, Resulting Numbers: [11]
11,25 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: 25:[3, 88, 4], Operations: ['50-46=4']
Exploring Operation: 88-3=85, Resulting Numbers: [4, 85]
Generated Node #0,1,0: 25:[4, 85] Operation: 88-3=85
Exploring Operation: 3+4=7, Resulting Numbers: [88, 7]
Generated Node #0,1,1: 25:[88, 7] Operation: 3+4=7
Exploring Operation: 88-4=84, Resulting Numbers: [3, 84]
Generated Node #0,1,2: 25:[3, 84] Operation: 88-4=84
Exploring Operation: 88/4=22, Resulting Numbers: [3, 22]
Generated Node #0,1,3: 25:[3, 22] Operation: 88/4=22
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 25:[3, 22], Operations: ['50-46=4', '88/4=22']
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[50, 3, 46, 88], Operations: []
Exploring Operation: 50-46=4, Resulting Numbers: [3, 88, 4]
Generated Node #0,1: 25:[3, 88, 4] Operation: 50-46=4
Moving to Node #0,1
Current State: 25:[3, 88, 4], Operations: ['50-46=4']
Exploring Operation: 88/4=22, Resulting Numbers: [3, 22]
Generated Node #0,1,3: 25:[3, 22] Operation: 88/4=22
Moving to Node #0,1,3
Current State: 25:[3, 22], Operations: ['50-46=4', '88/4=22']
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.960938 | hs_4 | mult_heuristic |
[
89,
5,
53,
94
] | 53 | [
"89+5=94",
"53+94=147",
"147-94=53"
] | Current State: 53:[89, 5, 53, 94], Operations: []
Exploring Operation: 89+5=94, Resulting Numbers: [53, 94, 94]
Generated Node #2: [53, 94, 94] from Operation: 89+5=94
Current State: 53:[53, 94, 94], Operations: ['89+5=94']
Exploring Operation: 53+94=147, Resulting Numbers: [147]
147,53 equal: Goal Reached
Exploring Operation: 147-94=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[89, 5, 53, 94], Operations: []
Exploring Operation: 94-5=89, Resulting Numbers: [89, 53, 89]
Generated Node #0,0: 53:[89, 53, 89] Operation: 94-5=89
Exploring Operation: 89-5=84, Resulting Numbers: [53, 94, 84]
Generated Node #0,1: 53:[53, 94, 84] Operation: 89-5=84
Exploring Operation: 89+5=94, Resulting Numbers: [53, 94, 94]
Generated Node #0,2: 53:[53, 94, 94] Operation: 89+5=94
Moving to Node #0,0
Current State: 53:[89, 53, 89], Operations: ['94-5=89']
Exploring Operation: 89/89=1, Resulting Numbers: [53, 1]
Generated Node #0,0,0: 53:[53, 1] Operation: 89/89=1
Exploring Operation: 89-53=36, Resulting Numbers: [89, 36]
Generated Node #0,0,1: 53:[89, 36] Operation: 89-53=36
Exploring Operation: 89-89=0, Resulting Numbers: [53, 0]
Generated Node #0,0,2: 53:[53, 0] Operation: 89-89=0
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[53, 1], Operations: ['94-5=89', '89/89=1']
Exploring Operation: 53/1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[89, 5, 53, 94], Operations: []
Exploring Operation: 94-5=89, Resulting Numbers: [89, 53, 89]
Generated Node #0,0: 53:[89, 53, 89] Operation: 94-5=89
Moving to Node #0,0
Current State: 53:[89, 53, 89], Operations: ['94-5=89']
Exploring Operation: 89/89=1, Resulting Numbers: [53, 1]
Generated Node #0,0,0: 53:[53, 1] Operation: 89/89=1
Moving to Node #0,0,0
Current State: 53:[53, 1], Operations: ['94-5=89', '89/89=1']
Exploring Operation: 53/1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
32,
8,
40,
89
] | 53 | [
"32/8=4",
"89-40=49",
"4+49=53"
] | Current State: 53:[32, 8, 40, 89], Operations: []
Exploring Operation: 32/8=4, Resulting Numbers: [40, 89, 4]
Generated Node #2: [40, 89, 4] from Operation: 32/8=4
Current State: 53:[40, 89, 4], Operations: ['32/8=4']
Exploring Operation: 89-40=49, Resulting Numbers: [4, 49]
Generated Node #3: [4, 49] from Operation: 89-40=49
Current State: 53:[4, 49], Operations: ['32/8=4', '89-40=49']
Exploring Operation: 4+49=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[32, 8, 40, 89], Operations: []
Exploring Operation: 32+8=40, Resulting Numbers: [40, 89, 40]
Generated Node #0,0: 53:[40, 89, 40] Operation: 32+8=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[40, 89, 40], Operations: ['32+8=40']
Exploring Operation: 89-40=49, Resulting Numbers: [40, 49]
Generated Node #0,0,0: 53:[40, 49] Operation: 89-40=49
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 53:[40, 49], Operations: ['32+8=40', '89-40=49']
Exploring Operation: 40+49=89, Resulting Numbers: [89]
89,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
11,
57,
66,
74
] | 94 | [
"57-11=46",
"66+74=140",
"140-46=94"
] | Current State: 94:[11, 57, 66, 74], Operations: []
Exploring Operation: 57-11=46, Resulting Numbers: [66, 74, 46]
Generated Node #2: [66, 74, 46] from Operation: 57-11=46
Current State: 94:[66, 74, 46], Operations: ['57-11=46']
Exploring Operation: 66+74=140, Resulting Numbers: [46, 140]
Generated Node #3: [46, 140] from Operation: 66+74=140
Current State: 94:[46, 140], Operations: ['57-11=46', '66+74=140']
Exploring Operation: 140-46=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[11, 57, 66, 74], Operations: []
Exploring Operation: 11+74=85, Resulting Numbers: [57, 66, 85]
Generated Node #0,0: 94:[57, 66, 85] Operation: 11+74=85
Exploring Operation: 66-11=55, Resulting Numbers: [57, 74, 55]
Generated Node #0,1: 94:[57, 74, 55] Operation: 66-11=55
Exploring Operation: 66/11=6, Resulting Numbers: [57, 74, 6]
Generated Node #0,2: 94:[57, 74, 6] Operation: 66/11=6
Exploring Operation: 74-66=8, Resulting Numbers: [11, 57, 8]
Generated Node #0,3: 94:[11, 57, 8] Operation: 74-66=8
Exploring Operation: 66-57=9, Resulting Numbers: [11, 74, 9]
Generated Node #0,4: 94:[11, 74, 9] Operation: 66-57=9
Moving to Node #0,3
Current State: 94:[11, 57, 8], Operations: ['74-66=8']
Exploring Operation: 57-8=49, Resulting Numbers: [11, 49]
Generated Node #0,3,0: 94:[11, 49] Operation: 57-8=49
Exploring Operation: 11-8=3, Resulting Numbers: [57, 3]
Generated Node #0,3,1: 94:[57, 3] Operation: 11-8=3
Exploring Operation: 11+57=68, Resulting Numbers: [8, 68]
Generated Node #0,3,2: 94:[8, 68] Operation: 11+57=68
Exploring Operation: 57-11=46, Resulting Numbers: [8, 46]
Generated Node #0,3,3: 94:[8, 46] Operation: 57-11=46
Exploring Operation: 11*8=88, Resulting Numbers: [57, 88]
Generated Node #0,3,4: 94:[57, 88] Operation: 11*8=88
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 94:[8, 46], Operations: ['74-66=8', '57-11=46']
Exploring Operation: 8*46=368, Resulting Numbers: [368]
368,94 unequal: No Solution
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,94 unequal: No Solution
Exploring Operation: 8+46=54, Resulting Numbers: [54]
54,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 94:[11, 49], Operations: ['74-66=8', '57-8=49']
Exploring Operation: 11+49=60, Resulting Numbers: [60]
60,94 unequal: No Solution
Exploring Operation: 11*49=539, Resulting Numbers: [539]
539,94 unequal: No Solution
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 94:[57, 3], Operations: ['74-66=8', '11-8=3']
Exploring Operation: 57*3=171, Resulting Numbers: [171]
171,94 unequal: No Solution
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,94 unequal: No Solution
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,94 unequal: No Solution
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 94:[57, 88], Operations: ['74-66=8', '11*8=88']
Exploring Operation: 88-57=31, Resulting Numbers: [31]
31,94 unequal: No Solution
Exploring Operation: 57*88=5016, Resulting Numbers: [5016]
5016,94 unequal: No Solution
Exploring Operation: 57+88=145, Resulting Numbers: [145]
145,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 94:[8, 68], Operations: ['74-66=8', '11+57=68']
Exploring Operation: 8*68=544, Resulting Numbers: [544]
544,94 unequal: No Solution
Exploring Operation: 68-8=60, Resulting Numbers: [60]
60,94 unequal: No Solution
Exploring Operation: 8+68=76, Resulting Numbers: [76]
76,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 94:[57, 74, 6], Operations: ['66/11=6']
Exploring Operation: 74-57=17, Resulting Numbers: [6, 17]
Generated Node #0,2,0: 94:[6, 17] Operation: 74-57=17
Exploring Operation: 74+6=80, Resulting Numbers: [57, 80]
Generated Node #0,2,1: 94:[57, 80] Operation: 74+6=80
Exploring Operation: 57+6=63, Resulting Numbers: [74, 63]
Generated Node #0,2,2: 94:[74, 63] Operation: 57+6=63
Exploring Operation: 74-6=68, Resulting Numbers: [57, 68]
Generated Node #0,2,3: 94:[57, 68] Operation: 74-6=68
Exploring Operation: 57-6=51, Resulting Numbers: [74, 51]
Generated Node #0,2,4: 94:[74, 51] Operation: 57-6=51
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 94:[6, 17], Operations: ['66/11=6', '74-57=17']
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,94 unequal: No Solution
Exploring Operation: 6*17=102, Resulting Numbers: [102]
102,94 unequal: No Solution
Exploring Operation: 6+17=23, Resulting Numbers: [23]
23,94 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 #0,2,1
Current State: 94:[57, 80], Operations: ['66/11=6', '74+6=80']
Exploring Operation: 57*80=4560, Resulting Numbers: [4560]
4560,94 unequal: No Solution
Exploring Operation: 57+80=137, Resulting Numbers: [137]
137,94 unequal: No Solution
Exploring Operation: 80-57=23, Resulting Numbers: [23]
23,94 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 #0,2,4
Current State: 94:[74, 51], Operations: ['66/11=6', '57-6=51']
Exploring Operation: 74-51=23, Resulting Numbers: [23]
23,94 unequal: No Solution
Exploring Operation: 74*51=3774, Resulting Numbers: [3774]
3774,94 unequal: No Solution
Exploring Operation: 74+51=125, Resulting Numbers: [125]
125,94 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 #0,2,3
Current State: 94:[57, 68], Operations: ['66/11=6', '74-6=68']
Exploring Operation: 57+68=125, Resulting Numbers: [125]
125,94 unequal: No Solution
Exploring Operation: 68-57=11, Resulting Numbers: [11]
11,94 unequal: No Solution
Exploring Operation: 57*68=3876, Resulting Numbers: [3876]
3876,94 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 #0,2,2
Current State: 94:[74, 63], Operations: ['66/11=6', '57+6=63']
Exploring Operation: 74*63=4662, Resulting Numbers: [4662]
4662,94 unequal: No Solution
Exploring Operation: 74-63=11, Resulting Numbers: [11]
11,94 unequal: No Solution
Exploring Operation: 74+63=137, Resulting Numbers: [137]
137,94 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:[11, 74, 9], Operations: ['66-57=9']
Exploring Operation: 11*9=99, Resulting Numbers: [74, 99]
Generated Node #0,4,0: 94:[74, 99] Operation: 11*9=99
Exploring Operation: 11-9=2, Resulting Numbers: [74, 2]
Generated Node #0,4,1: 94:[74, 2] Operation: 11-9=2
Exploring Operation: 11+74=85, Resulting Numbers: [9, 85]
Generated Node #0,4,2: 94:[9, 85] Operation: 11+74=85
Exploring Operation: 74+9=83, Resulting Numbers: [11, 83]
Generated Node #0,4,3: 94:[11, 83] Operation: 74+9=83
Exploring Operation: 74-11=63, Resulting Numbers: [9, 63]
Generated Node #0,4,4: 94:[9, 63] Operation: 74-11=63
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 94:[9, 85], Operations: ['66-57=9', '11+74=85']
Exploring Operation: 85-9=76, Resulting Numbers: [76]
76,94 unequal: No Solution
Exploring Operation: 9+85=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[11, 57, 66, 74], Operations: []
Exploring Operation: 66-57=9, Resulting Numbers: [11, 74, 9]
Generated Node #0,4: 94:[11, 74, 9] Operation: 66-57=9
Moving to Node #0,4
Current State: 94:[11, 74, 9], Operations: ['66-57=9']
Exploring Operation: 11+74=85, Resulting Numbers: [9, 85]
Generated Node #0,4,2: 94:[9, 85] Operation: 11+74=85
Moving to Node #0,4,2
Current State: 94:[9, 85], Operations: ['66-57=9', '11+74=85']
Exploring Operation: 9+85=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.950521 | hs_5 | mult_heuristic |
[
2,
16,
22,
53
] | 40 | [
"2+53=55",
"16*55=880",
"880/22=40"
] | Current State: 40:[2, 16, 22, 53], Operations: []
Exploring Operation: 2+53=55, Resulting Numbers: [16, 22, 55]
Generated Node #2: [16, 22, 55] from Operation: 2+53=55
Current State: 40:[16, 22, 55], Operations: ['2+53=55']
Exploring Operation: 16*55=880, Resulting Numbers: [22, 880]
Generated Node #3: [22, 880] from Operation: 16*55=880
Current State: 40:[22, 880], Operations: ['2+53=55', '16*55=880']
Exploring Operation: 880/22=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[2, 16, 22, 53], Operations: []
Exploring Operation: 53-16=37, Resulting Numbers: [2, 22, 37]
Generated Node #0,0: 40:[2, 22, 37] Operation: 53-16=37
Exploring Operation: 53-22=31, Resulting Numbers: [2, 16, 31]
Generated Node #0,1: 40:[2, 16, 31] Operation: 53-22=31
Exploring Operation: 22-16=6, Resulting Numbers: [2, 53, 6]
Generated Node #0,2: 40:[2, 53, 6] Operation: 22-16=6
Moving to Node #0,0
Current State: 40:[2, 22, 37], Operations: ['53-16=37']
Exploring Operation: 2+37=39, Resulting Numbers: [22, 39]
Generated Node #0,0,0: 40:[22, 39] Operation: 2+37=39
Exploring Operation: 22/2=11, Resulting Numbers: [37, 11]
Generated Node #0,0,1: 40:[37, 11] Operation: 22/2=11
Exploring Operation: 22-2=20, Resulting Numbers: [37, 20]
Generated Node #0,0,2: 40:[37, 20] Operation: 22-2=20
Moving to Node #0,1
Current State: 40:[2, 16, 31], Operations: ['53-22=31']
Exploring Operation: 16+31=47, Resulting Numbers: [2, 47]
Generated Node #0,1,0: 40:[2, 47] Operation: 16+31=47
Exploring Operation: 16/2=8, Resulting Numbers: [31, 8]
Generated Node #0,1,1: 40:[31, 8] Operation: 16/2=8
Exploring Operation: 31-16=15, Resulting Numbers: [2, 15]
Generated Node #0,1,2: 40:[2, 15] Operation: 31-16=15
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 40:[2, 15], Operations: ['53-22=31', '31-16=15']
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,40 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,40 unequal: No Solution
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,40 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:[2, 47], Operations: ['53-22=31', '16+31=47']
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,40 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,40 unequal: No Solution
Exploring Operation: 2+47=49, Resulting Numbers: [49]
49,40 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 #0,1,1
Current State: 40:[31, 8], Operations: ['53-22=31', '16/2=8']
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,40 unequal: No Solution
Exploring Operation: 31*8=248, Resulting Numbers: [248]
248,40 unequal: No Solution
Exploring Operation: 31+8=39, Resulting Numbers: [39]
39,40 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: 40:[2, 53, 6], Operations: ['22-16=6']
Exploring Operation: 2+6=8, Resulting Numbers: [53, 8]
Generated Node #0,2,0: 40:[53, 8] Operation: 2+6=8
Exploring Operation: 53-6=47, Resulting Numbers: [2, 47]
Generated Node #0,2,1: 40:[2, 47] Operation: 53-6=47
Exploring Operation: 53-2=51, Resulting Numbers: [6, 51]
Generated Node #0,2,2: 40:[6, 51] Operation: 53-2=51
Moving to Node #0,0,0
Current State: 40:[22, 39], Operations: ['53-16=37', '2+37=39']
Exploring Operation: 22+39=61, Resulting Numbers: [61]
61,40 unequal: No Solution
Exploring Operation: 39-22=17, Resulting Numbers: [17]
17,40 unequal: No Solution
Exploring Operation: 22*39=858, Resulting Numbers: [858]
858,40 unequal: No Solution
Moving to Node #0,0,2
Current State: 40:[37, 20], Operations: ['53-16=37', '22-2=20']
Exploring Operation: 37+20=57, Resulting Numbers: [57]
57,40 unequal: No Solution
Exploring Operation: 37*20=740, Resulting Numbers: [740]
740,40 unequal: No Solution
Exploring Operation: 37-20=17, Resulting Numbers: [17]
17,40 unequal: No Solution
Moving to Node #0,0,1
Current State: 40:[37, 11], Operations: ['53-16=37', '22/2=11']
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,40 unequal: No Solution
Exploring Operation: 37*11=407, Resulting Numbers: [407]
407,40 unequal: No Solution
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,40 unequal: No Solution
Moving to Node #0,2,1
Current State: 40:[2, 47], Operations: ['22-16=6', '53-6=47']
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,40 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,40 unequal: No Solution
Exploring Operation: 2+47=49, Resulting Numbers: [49]
49,40 unequal: No Solution
Moving to Node #0,2,2
Current State: 40:[6, 51], Operations: ['22-16=6', '53-2=51']
Exploring Operation: 51-6=45, Resulting Numbers: [45]
45,40 unequal: No Solution
Exploring Operation: 6+51=57, Resulting Numbers: [57]
57,40 unequal: No Solution
Exploring Operation: 6*51=306, Resulting Numbers: [306]
306,40 unequal: No Solution
Moving to Node #0,2,0
Current State: 40:[53, 8], Operations: ['22-16=6', '2+6=8']
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,40 unequal: No Solution
Exploring Operation: 53*8=424, Resulting Numbers: [424]
424,40 unequal: No Solution
Exploring Operation: 53+8=61, Resulting Numbers: [61]
61,40 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
44,
27,
78,
34
] | 41 | [
"44+27=71",
"78+34=112",
"112-71=41"
] | Current State: 41:[44, 27, 78, 34], Operations: []
Exploring Operation: 44+27=71, Resulting Numbers: [78, 34, 71]
Generated Node #2: [78, 34, 71] from Operation: 44+27=71
Current State: 41:[78, 34, 71], Operations: ['44+27=71']
Exploring Operation: 78+34=112, Resulting Numbers: [71, 112]
Generated Node #3: [71, 112] from Operation: 78+34=112
Current State: 41:[71, 112], Operations: ['44+27=71', '78+34=112']
Exploring Operation: 112-71=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[44, 27, 78, 34], Operations: []
Exploring Operation: 78-27=51, Resulting Numbers: [44, 34, 51]
Generated Node #0,0: 41:[44, 34, 51] Operation: 78-27=51
Moving to Node #0,0
Current State: 41:[44, 34, 51], Operations: ['78-27=51']
Exploring Operation: 51-34=17, Resulting Numbers: [44, 17]
Generated Node #0,0,0: 41:[44, 17] Operation: 51-34=17
Moving to Node #0,0,0
Current State: 41:[44, 17], Operations: ['78-27=51', '51-34=17']
Exploring Operation: 44-17=27, Resulting Numbers: [27]
27,41 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
77,
83,
20,
74
] | 100 | [
"83-77=6",
"20+74=94",
"6+94=100"
] | Current State: 100:[77, 83, 20, 74], Operations: []
Exploring Operation: 83-77=6, Resulting Numbers: [20, 74, 6]
Generated Node #2: [20, 74, 6] from Operation: 83-77=6
Current State: 100:[20, 74, 6], Operations: ['83-77=6']
Exploring Operation: 20+74=94, Resulting Numbers: [6, 94]
Generated Node #3: [6, 94] from Operation: 20+74=94
Current State: 100:[6, 94], Operations: ['83-77=6', '20+74=94']
Exploring Operation: 6+94=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[77, 83, 20, 74], Operations: []
Exploring Operation: 77-74=3, Resulting Numbers: [83, 20, 3]
Generated Node #0,0: 100:[83, 20, 3] Operation: 77-74=3
Exploring Operation: 74-20=54, Resulting Numbers: [77, 83, 54]
Generated Node #0,1: 100:[77, 83, 54] Operation: 74-20=54
Exploring Operation: 77+20=97, Resulting Numbers: [83, 74, 97]
Generated Node #0,2: 100:[83, 74, 97] Operation: 77+20=97
Exploring Operation: 83-74=9, Resulting Numbers: [77, 20, 9]
Generated Node #0,3: 100:[77, 20, 9] Operation: 83-74=9
Exploring Operation: 83-77=6, Resulting Numbers: [20, 74, 6]
Generated Node #0,4: 100:[20, 74, 6] Operation: 83-77=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[83, 20, 3], Operations: ['77-74=3']
Exploring Operation: 83-20=63, Resulting Numbers: [3, 63]
Generated Node #0,0,0: 100:[3, 63] Operation: 83-20=63
Exploring Operation: 83+20=103, Resulting Numbers: [3, 103]
Generated Node #0,0,1: 100:[3, 103] Operation: 83+20=103
Exploring Operation: 83-3=80, Resulting Numbers: [20, 80]
Generated Node #0,0,2: 100:[20, 80] Operation: 83-3=80
Exploring Operation: 83+3=86, Resulting Numbers: [20, 86]
Generated Node #0,0,3: 100:[20, 86] Operation: 83+3=86
Exploring Operation: 20+3=23, Resulting Numbers: [83, 23]
Generated Node #0,0,4: 100:[83, 23] Operation: 20+3=23
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 100:[3, 103], Operations: ['77-74=3', '83+20=103']
Exploring Operation: 3+103=106, Resulting Numbers: [106]
106,100 unequal: No Solution
Exploring Operation: 3*103=309, Resulting Numbers: [309]
309,100 unequal: No Solution
Exploring Operation: 103-3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[77, 83, 20, 74], Operations: []
Exploring Operation: 77-74=3, Resulting Numbers: [83, 20, 3]
Generated Node #0,0: 100:[83, 20, 3] Operation: 77-74=3
Moving to Node #0,0
Current State: 100:[83, 20, 3], Operations: ['77-74=3']
Exploring Operation: 83+20=103, Resulting Numbers: [3, 103]
Generated Node #0,0,1: 100:[3, 103] Operation: 83+20=103
Moving to Node #0,0,1
Current State: 100:[3, 103], Operations: ['77-74=3', '83+20=103']
Exploring Operation: 103-3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
78,
10,
55,
3
] | 91 | [
"78/3=26",
"10+55=65",
"26+65=91"
] | Current State: 91:[78, 10, 55, 3], Operations: []
Exploring Operation: 78/3=26, Resulting Numbers: [10, 55, 26]
Generated Node #2: [10, 55, 26] from Operation: 78/3=26
Current State: 91:[10, 55, 26], Operations: ['78/3=26']
Exploring Operation: 10+55=65, Resulting Numbers: [26, 65]
Generated Node #3: [26, 65] from Operation: 10+55=65
Current State: 91:[26, 65], Operations: ['78/3=26', '10+55=65']
Exploring Operation: 26+65=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[78, 10, 55, 3], Operations: []
Exploring Operation: 78+55=133, Resulting Numbers: [10, 3, 133]
Generated Node #0,0: 91:[10, 3, 133] Operation: 78+55=133
Exploring Operation: 10+55=65, Resulting Numbers: [78, 3, 65]
Generated Node #0,1: 91:[78, 3, 65] Operation: 10+55=65
Exploring Operation: 78-55=23, Resulting Numbers: [10, 3, 23]
Generated Node #0,2: 91:[10, 3, 23] Operation: 78-55=23
Exploring Operation: 78+10=88, Resulting Numbers: [55, 3, 88]
Generated Node #0,3: 91:[55, 3, 88] Operation: 78+10=88
Moving to Node #0,2
Current State: 91:[10, 3, 23], Operations: ['78-55=23']
Exploring Operation: 10+3=13, Resulting Numbers: [23, 13]
Generated Node #0,2,0: 91:[23, 13] Operation: 10+3=13
Exploring Operation: 23-3=20, Resulting Numbers: [10, 20]
Generated Node #0,2,1: 91:[10, 20] Operation: 23-3=20
Exploring Operation: 10-3=7, Resulting Numbers: [23, 7]
Generated Node #0,2,2: 91:[23, 7] Operation: 10-3=7
Exploring Operation: 23-10=13, Resulting Numbers: [3, 13]
Generated Node #0,2,3: 91:[3, 13] Operation: 23-10=13
Moving to Node #0,3
Current State: 91:[55, 3, 88], Operations: ['78+10=88']
Exploring Operation: 55+3=58, Resulting Numbers: [88, 58]
Generated Node #0,3,0: 91:[88, 58] Operation: 55+3=58
Exploring Operation: 3+88=91, Resulting Numbers: [55, 91]
Generated Node #0,3,1: 91:[55, 91] Operation: 3+88=91
Exploring Operation: 55-3=52, Resulting Numbers: [88, 52]
Generated Node #0,3,2: 91:[88, 52] Operation: 55-3=52
Exploring Operation: 88-55=33, Resulting Numbers: [3, 33]
Generated Node #0,3,3: 91:[3, 33] Operation: 88-55=33
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 91:[3, 33], Operations: ['78+10=88', '88-55=33']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,91 unequal: No Solution
Exploring Operation: 3+33=36, Resulting Numbers: [36]
36,91 unequal: No Solution
Exploring Operation: 3*33=99, Resulting Numbers: [99]
99,91 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 91:[88, 58], Operations: ['78+10=88', '55+3=58']
Exploring Operation: 88+58=146, Resulting Numbers: [146]
146,91 unequal: No Solution
Exploring Operation: 88-58=30, Resulting Numbers: [30]
30,91 unequal: No Solution
Exploring Operation: 88*58=5104, Resulting Numbers: [5104]
5104,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 91:[55, 91], Operations: ['78+10=88', '3+88=91']
Exploring Operation: 91-55=36, Resulting Numbers: [36]
36,91 unequal: No Solution
Exploring Operation: 55+91=146, Resulting Numbers: [146]
146,91 unequal: No Solution
Exploring Operation: 55*91=5005, Resulting Numbers: [5005]
5005,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 91:[88, 52], Operations: ['78+10=88', '55-3=52']
Exploring Operation: 88-52=36, Resulting Numbers: [36]
36,91 unequal: No Solution
Exploring Operation: 88*52=4576, Resulting Numbers: [4576]
4576,91 unequal: No Solution
Exploring Operation: 88+52=140, Resulting Numbers: [140]
140,91 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: 91:[78, 3, 65], Operations: ['10+55=65']
Exploring Operation: 78-65=13, Resulting Numbers: [3, 13]
Generated Node #0,1,0: 91:[3, 13] Operation: 78-65=13
Exploring Operation: 3+65=68, Resulting Numbers: [78, 68]
Generated Node #0,1,1: 91:[78, 68] Operation: 3+65=68
Exploring Operation: 78+3=81, Resulting Numbers: [65, 81]
Generated Node #0,1,2: 91:[65, 81] Operation: 78+3=81
Exploring Operation: 78/3=26, Resulting Numbers: [65, 26]
Generated Node #0,1,3: 91:[65, 26] Operation: 78/3=26
Moving to Node #0,0
Current State: 91:[10, 3, 133], Operations: ['78+55=133']
Exploring Operation: 10-3=7, Resulting Numbers: [133, 7]
Generated Node #0,0,0: 91:[133, 7] Operation: 10-3=7
Exploring Operation: 133-3=130, Resulting Numbers: [10, 130]
Generated Node #0,0,1: 91:[10, 130] Operation: 133-3=130
Exploring Operation: 133-10=123, Resulting Numbers: [3, 123]
Generated Node #0,0,2: 91:[3, 123] Operation: 133-10=123
Exploring Operation: 10+3=13, Resulting Numbers: [133, 13]
Generated Node #0,0,3: 91:[133, 13] Operation: 10+3=13
Moving to Node #0,2,3
Current State: 91:[3, 13], Operations: ['78-55=23', '23-10=13']
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,91 unequal: No Solution
Exploring Operation: 3+13=16, Resulting Numbers: [16]
16,91 unequal: No Solution
Exploring Operation: 3*13=39, Resulting Numbers: [39]
39,91 unequal: No Solution
Moving to Node #0,1,0
Current State: 91:[3, 13], Operations: ['10+55=65', '78-65=13']
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,91 unequal: No Solution
Exploring Operation: 3+13=16, Resulting Numbers: [16]
16,91 unequal: No Solution
Exploring Operation: 3*13=39, Resulting Numbers: [39]
39,91 unequal: No Solution
Moving to Node #0,2,1
Current State: 91:[10, 20], Operations: ['78-55=23', '23-3=20']
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,91 unequal: No Solution
Exploring Operation: 10+20=30, Resulting Numbers: [30]
30,91 unequal: No Solution
Exploring Operation: 10*20=200, Resulting Numbers: [200]
200,91 unequal: No Solution
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,91 unequal: No Solution
Moving to Node #0,2,0
Current State: 91:[23, 13], Operations: ['78-55=23', '10+3=13']
Exploring Operation: 23*13=299, Resulting Numbers: [299]
299,91 unequal: No Solution
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,91 unequal: No Solution
Exploring Operation: 23+13=36, Resulting Numbers: [36]
36,91 unequal: No Solution
Moving to Node #0,2,2
Current State: 91:[23, 7], Operations: ['78-55=23', '10-3=7']
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,91 unequal: No Solution
Exploring Operation: 23*7=161, Resulting Numbers: [161]
161,91 unequal: No Solution
Exploring Operation: 23+7=30, Resulting Numbers: [30]
30,91 unequal: No Solution
Moving to Node #0,1,2
Current State: 91:[65, 81], Operations: ['10+55=65', '78+3=81']
Exploring Operation: 65+81=146, Resulting Numbers: [146]
146,91 unequal: No Solution
Exploring Operation: 65*81=5265, Resulting Numbers: [5265]
5265,91 unequal: No Solution
Exploring Operation: 81-65=16, Resulting Numbers: [16]
16,91 unequal: No Solution
Moving to Node #0,1,1
Current State: 91:[78, 68], Operations: ['10+55=65', '3+65=68']
Exploring Operation: 78-68=10, Resulting Numbers: [10]
10,91 unequal: No Solution
Exploring Operation: 78*68=5304, Resulting Numbers: [5304]
5304,91 unequal: No Solution
Exploring Operation: 78+68=146, Resulting Numbers: [146]
146,91 unequal: No Solution
Moving to Node #0,0,2
Current State: 91:[3, 123], Operations: ['78+55=133', '133-10=123']
Exploring Operation: 123/3=41, Resulting Numbers: [41]
41,91 unequal: No Solution
Exploring Operation: 3*123=369, Resulting Numbers: [369]
369,91 unequal: No Solution
Exploring Operation: 3+123=126, Resulting Numbers: [126]
126,91 unequal: No Solution
Exploring Operation: 123-3=120, Resulting Numbers: [120]
120,91 unequal: No Solution
Moving to Node #0,1,3
Current State: 91:[65, 26], Operations: ['10+55=65', '78/3=26']
Exploring Operation: 65+26=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[78, 10, 55, 3], Operations: []
Exploring Operation: 10+55=65, Resulting Numbers: [78, 3, 65]
Generated Node #0,1: 91:[78, 3, 65] Operation: 10+55=65
Moving to Node #0,1
Current State: 91:[78, 3, 65], Operations: ['10+55=65']
Exploring Operation: 78/3=26, Resulting Numbers: [65, 26]
Generated Node #0,1,3: 91:[65, 26] Operation: 78/3=26
Moving to Node #0,1,3
Current State: 91:[65, 26], Operations: ['10+55=65', '78/3=26']
Exploring Operation: 65+26=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 0.944444 | hs_4 | mult_heuristic |
[
7,
80,
5,
97
] | 19 | [
"80-7=73",
"97-5=92",
"92-73=19"
] | Current State: 19:[7, 80, 5, 97], Operations: []
Exploring Operation: 80-7=73, Resulting Numbers: [5, 97, 73]
Generated Node #2: [5, 97, 73] from Operation: 80-7=73
Current State: 19:[5, 97, 73], Operations: ['80-7=73']
Exploring Operation: 97-5=92, Resulting Numbers: [73, 92]
Generated Node #3: [73, 92] from Operation: 97-5=92
Current State: 19:[73, 92], Operations: ['80-7=73', '97-5=92']
Exploring Operation: 92-73=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[7, 80, 5, 97], Operations: []
Exploring Operation: 97-80=17, Resulting Numbers: [7, 5, 17]
Generated Node #0,0: 19:[7, 5, 17] Operation: 97-80=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[7, 5, 17], Operations: ['97-80=17']
Exploring Operation: 7+5=12, Resulting Numbers: [17, 12]
Generated Node #0,0,0: 19:[17, 12] Operation: 7+5=12
Moving to Node #0,0,0
Current State: 19:[17, 12], Operations: ['97-80=17', '7+5=12']
Exploring Operation: 17+12=29, Resulting Numbers: [29]
29,19 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 |
[
20,
32,
72,
79
] | 34 | [
"20*72=1440",
"1440/32=45",
"79-45=34"
] | Current State: 34:[20, 32, 72, 79], Operations: []
Exploring Operation: 20*72=1440, Resulting Numbers: [32, 79, 1440]
Generated Node #2: [32, 79, 1440] from Operation: 20*72=1440
Current State: 34:[32, 79, 1440], Operations: ['20*72=1440']
Exploring Operation: 1440/32=45, Resulting Numbers: [79, 45]
Generated Node #3: [79, 45] from Operation: 1440/32=45
Current State: 34:[79, 45], Operations: ['20*72=1440', '1440/32=45']
Exploring Operation: 79-45=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[20, 32, 72, 79], Operations: []
Exploring Operation: 72-32=40, Resulting Numbers: [20, 79, 40]
Generated Node #0,0: 34:[20, 79, 40] Operation: 72-32=40
Exploring Operation: 79-20=59, Resulting Numbers: [32, 72, 59]
Generated Node #0,1: 34:[32, 72, 59] Operation: 79-20=59
Exploring Operation: 79-32=47, Resulting Numbers: [20, 72, 47]
Generated Node #0,2: 34:[20, 72, 47] Operation: 79-32=47
Exploring Operation: 79-72=7, Resulting Numbers: [20, 32, 7]
Generated Node #0,3: 34:[20, 32, 7] Operation: 79-72=7
Exploring Operation: 72-20=52, Resulting Numbers: [32, 79, 52]
Generated Node #0,4: 34:[32, 79, 52] Operation: 72-20=52
Start Sub Search at level 1: Moving to Node #0,3
Current State: 34:[20, 32, 7], Operations: ['79-72=7']
Exploring Operation: 32-7=25, Resulting Numbers: [20, 25]
Generated Node #0,3,0: 34:[20, 25] Operation: 32-7=25
Exploring Operation: 20+7=27, Resulting Numbers: [32, 27]
Generated Node #0,3,1: 34:[32, 27] Operation: 20+7=27
Exploring Operation: 32+7=39, Resulting Numbers: [20, 39]
Generated Node #0,3,2: 34:[20, 39] Operation: 32+7=39
Exploring Operation: 32-20=12, Resulting Numbers: [7, 12]
Generated Node #0,3,3: 34:[7, 12] Operation: 32-20=12
Exploring Operation: 20-7=13, Resulting Numbers: [32, 13]
Generated Node #0,3,4: 34:[32, 13] Operation: 20-7=13
Moving to Node #0,3,4
Current State: 34:[32, 13], Operations: ['79-72=7', '20-7=13']
Exploring Operation: 32*13=416, Resulting Numbers: [416]
416,34 unequal: No Solution
Exploring Operation: 32+13=45, Resulting Numbers: [45]
45,34 unequal: No Solution
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,34 unequal: No Solution
Moving to Node #0,3,2
Current State: 34:[20, 39], Operations: ['79-72=7', '32+7=39']
Exploring Operation: 20*39=780, Resulting Numbers: [780]
780,34 unequal: No Solution
Exploring Operation: 20+39=59, Resulting Numbers: [59]
59,34 unequal: No Solution
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,34 unequal: No Solution
Moving to Node #0,3,1
Current State: 34:[32, 27], Operations: ['79-72=7', '20+7=27']
Exploring Operation: 32-27=5, Resulting Numbers: [5]
5,34 unequal: No Solution
Exploring Operation: 32*27=864, Resulting Numbers: [864]
864,34 unequal: No Solution
Exploring Operation: 32+27=59, Resulting Numbers: [59]
59,34 unequal: No Solution
Moving to Node #0,3,3
Current State: 34:[7, 12], Operations: ['79-72=7', '32-20=12']
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,34 unequal: No Solution
Exploring Operation: 7+12=19, Resulting Numbers: [19]
19,34 unequal: No Solution
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,34 unequal: No Solution
Moving to Node #0,3,0
Current State: 34:[20, 25], Operations: ['79-72=7', '32-7=25']
Exploring Operation: 20+25=45, Resulting Numbers: [45]
45,34 unequal: No Solution
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,34 unequal: No Solution
Exploring Operation: 20*25=500, Resulting Numbers: [500]
500,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 34:[20, 79, 40], Operations: ['72-32=40']
Exploring Operation: 20+79=99, Resulting Numbers: [40, 99]
Generated Node #0,0,0: 34:[40, 99] Operation: 20+79=99
Exploring Operation: 79-20=59, Resulting Numbers: [40, 59]
Generated Node #0,0,1: 34:[40, 59] Operation: 79-20=59
Exploring Operation: 79-40=39, Resulting Numbers: [20, 39]
Generated Node #0,0,2: 34:[20, 39] Operation: 79-40=39
Exploring Operation: 40/20=2, Resulting Numbers: [79, 2]
Generated Node #0,0,3: 34:[79, 2] Operation: 40/20=2
Exploring Operation: 40-20=20, Resulting Numbers: [79, 20]
Generated Node #0,0,4: 34:[79, 20] Operation: 40-20=20
Moving to Node #0,0,2
Current State: 34:[20, 39], Operations: ['72-32=40', '79-40=39']
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,34 unequal: No Solution
Exploring Operation: 20+39=59, Resulting Numbers: [59]
59,34 unequal: No Solution
Exploring Operation: 20*39=780, Resulting Numbers: [780]
780,34 unequal: No Solution
Moving to Node #0,0,1
Current State: 34:[40, 59], Operations: ['72-32=40', '79-20=59']
Exploring Operation: 40*59=2360, Resulting Numbers: [2360]
2360,34 unequal: No Solution
Exploring Operation: 59-40=19, Resulting Numbers: [19]
19,34 unequal: No Solution
Exploring Operation: 40+59=99, Resulting Numbers: [99]
99,34 unequal: No Solution
Moving to Node #0,0,3
Current State: 34:[79, 2], Operations: ['72-32=40', '40/20=2']
Exploring Operation: 79+2=81, Resulting Numbers: [81]
81,34 unequal: No Solution
Exploring Operation: 79*2=158, Resulting Numbers: [158]
158,34 unequal: No Solution
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,34 unequal: No Solution
Moving to Node #0,0,4
Current State: 34:[79, 20], Operations: ['72-32=40', '40-20=20']
Exploring Operation: 79+20=99, Resulting Numbers: [99]
99,34 unequal: No Solution
Exploring Operation: 79-20=59, Resulting Numbers: [59]
59,34 unequal: No Solution
Exploring Operation: 79*20=1580, Resulting Numbers: [1580]
1580,34 unequal: No Solution
Moving to Node #0,0,0
Current State: 34:[40, 99], Operations: ['72-32=40', '20+79=99']
Exploring Operation: 40+99=139, Resulting Numbers: [139]
139,34 unequal: No Solution
Exploring Operation: 99-40=59, Resulting Numbers: [59]
59,34 unequal: No Solution
Exploring Operation: 40*99=3960, Resulting Numbers: [3960]
3960,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 34:[20, 72, 47], Operations: ['79-32=47']
Exploring Operation: 20+47=67, Resulting Numbers: [72, 67]
Generated Node #0,2,0: 34:[72, 67] Operation: 20+47=67
Exploring Operation: 72-47=25, Resulting Numbers: [20, 25]
Generated Node #0,2,1: 34:[20, 25] Operation: 72-47=25
Exploring Operation: 47-20=27, Resulting Numbers: [72, 27]
Generated Node #0,2,2: 34:[72, 27] Operation: 47-20=27
Exploring Operation: 72-20=52, Resulting Numbers: [47, 52]
Generated Node #0,2,3: 34:[47, 52] Operation: 72-20=52
Exploring Operation: 20+72=92, Resulting Numbers: [47, 92]
Generated Node #0,2,4: 34:[47, 92] Operation: 20+72=92
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 34:[20, 25], Operations: ['79-32=47', '72-47=25']
Exploring Operation: 20+25=45, Resulting Numbers: [45]
45,34 unequal: No Solution
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,34 unequal: No Solution
Exploring Operation: 20*25=500, Resulting Numbers: [500]
500,34 unequal: No Solution
No 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: 34:[47, 52], Operations: ['79-32=47', '72-20=52']
Exploring Operation: 47*52=2444, Resulting Numbers: [2444]
2444,34 unequal: No Solution
Exploring Operation: 47+52=99, Resulting Numbers: [99]
99,34 unequal: No Solution
Exploring Operation: 52-47=5, Resulting Numbers: [5]
5,34 unequal: No Solution
No 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: 34:[72, 27], Operations: ['79-32=47', '47-20=27']
Exploring Operation: 72-27=45, Resulting Numbers: [45]
45,34 unequal: No Solution
Exploring Operation: 72+27=99, Resulting Numbers: [99]
99,34 unequal: No Solution
Exploring Operation: 72*27=1944, Resulting Numbers: [1944]
1944,34 unequal: No Solution
No 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: 34:[72, 67], Operations: ['79-32=47', '20+47=67']
Exploring Operation: 72*67=4824, Resulting Numbers: [4824]
4824,34 unequal: No Solution
Exploring Operation: 72+67=139, Resulting Numbers: [139]
139,34 unequal: No Solution
Exploring Operation: 72-67=5, Resulting Numbers: [5]
5,34 unequal: No Solution
No 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: 34:[47, 92], Operations: ['79-32=47', '20+72=92']
Exploring Operation: 92-47=45, Resulting Numbers: [45]
45,34 unequal: No Solution
Exploring Operation: 47+92=139, Resulting Numbers: [139]
139,34 unequal: No Solution
Exploring Operation: 47*92=4324, Resulting Numbers: [4324]
4324,34 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: 34:[32, 72, 59], Operations: ['79-20=59']
Exploring Operation: 59-32=27, Resulting Numbers: [72, 27]
Generated Node #0,1,0: 34:[72, 27] Operation: 59-32=27
Exploring Operation: 72-32=40, Resulting Numbers: [59, 40]
Generated Node #0,1,1: 34:[59, 40] Operation: 72-32=40
Exploring Operation: 72-59=13, Resulting Numbers: [32, 13]
Generated Node #0,1,2: 34:[32, 13] Operation: 72-59=13
Exploring Operation: 32+59=91, Resulting Numbers: [72, 91]
Generated Node #0,1,3: 34:[72, 91] Operation: 32+59=91
Exploring Operation: 32+72=104, Resulting Numbers: [59, 104]
Generated Node #0,1,4: 34:[59, 104] Operation: 32+72=104
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 34:[32, 13], Operations: ['79-20=59', '72-59=13']
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,34 unequal: No Solution
Exploring Operation: 32*13=416, Resulting Numbers: [416]
416,34 unequal: No Solution
Exploring Operation: 32+13=45, Resulting Numbers: [45]
45,34 unequal: No Solution
No 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: 34:[59, 40], Operations: ['79-20=59', '72-32=40']
Exploring Operation: 59+40=99, Resulting Numbers: [99]
99,34 unequal: No Solution
Exploring Operation: 59*40=2360, Resulting Numbers: [2360]
2360,34 unequal: No Solution
Exploring Operation: 59-40=19, Resulting Numbers: [19]
19,34 unequal: No Solution
No 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: 34:[72, 27], Operations: ['79-20=59', '59-32=27']
Exploring Operation: 72-27=45, Resulting Numbers: [45]
45,34 unequal: No Solution
Exploring Operation: 72+27=99, Resulting Numbers: [99]
99,34 unequal: No Solution
Exploring Operation: 72*27=1944, Resulting Numbers: [1944]
1944,34 unequal: No Solution
No 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: 34:[72, 91], Operations: ['79-20=59', '32+59=91']
Exploring Operation: 72*91=6552, Resulting Numbers: [6552]
6552,34 unequal: No Solution
Exploring Operation: 91-72=19, Resulting Numbers: [19]
19,34 unequal: No Solution
Exploring Operation: 72+91=163, Resulting Numbers: [163]
163,34 unequal: No Solution
No 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: 34:[59, 104], Operations: ['79-20=59', '32+72=104']
Exploring Operation: 59*104=6136, Resulting Numbers: [6136]
6136,34 unequal: No Solution
Exploring Operation: 59+104=163, Resulting Numbers: [163]
163,34 unequal: No Solution
Exploring Operation: 104-59=45, Resulting Numbers: [45]
45,34 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: 34:[32, 79, 52], Operations: ['72-20=52']
Exploring Operation: 79-52=27, Resulting Numbers: [32, 27]
Generated Node #0,4,0: 34:[32, 27] Operation: 79-52=27
Exploring Operation: 52-32=20, Resulting Numbers: [79, 20]
Generated Node #0,4,1: 34:[79, 20] Operation: 52-32=20
Exploring Operation: 79-32=47, Resulting Numbers: [52, 47]
Generated Node #0,4,2: 34:[52, 47] Operation: 79-32=47
Exploring Operation: 32+79=111, Resulting Numbers: [52, 111]
Generated Node #0,4,3: 34:[52, 111] Operation: 32+79=111
Exploring Operation: 32+52=84, Resulting Numbers: [79, 84]
Generated Node #0,4,4: 34:[79, 84] Operation: 32+52=84
Moving to Node #0,4,0
Current State: 34:[32, 27], Operations: ['72-20=52', '79-52=27']
Exploring Operation: 32*27=864, Resulting Numbers: [864]
864,34 unequal: No Solution
Exploring Operation: 32-27=5, Resulting Numbers: [5]
5,34 unequal: No Solution
Exploring Operation: 32+27=59, Resulting Numbers: [59]
59,34 unequal: No Solution
Moving to Node #0,4,2
Current State: 34:[52, 47], Operations: ['72-20=52', '79-32=47']
Exploring Operation: 52*47=2444, Resulting Numbers: [2444]
2444,34 unequal: No Solution
Exploring Operation: 52-47=5, Resulting Numbers: [5]
5,34 unequal: No Solution
Exploring Operation: 52+47=99, Resulting Numbers: [99]
99,34 unequal: No Solution
Moving to Node #0,4,1
Current State: 34:[79, 20], Operations: ['72-20=52', '52-32=20']
Exploring Operation: 79*20=1580, Resulting Numbers: [1580]
1580,34 unequal: No Solution
Exploring Operation: 79-20=59, Resulting Numbers: [59]
59,34 unequal: No Solution
Exploring Operation: 79+20=99, Resulting Numbers: [99]
99,34 unequal: No Solution
Moving to Node #0,4,3
Current State: 34:[52, 111], Operations: ['72-20=52', '32+79=111']
Exploring Operation: 111-52=59, Resulting Numbers: [59]
59,34 unequal: No Solution
Exploring Operation: 52+111=163, Resulting Numbers: [163]
163,34 unequal: No Solution
Exploring Operation: 52*111=5772, Resulting Numbers: [5772]
5772,34 unequal: No Solution
Moving to Node #0,4,4
Current State: 34:[79, 84], Operations: ['72-20=52', '32+52=84']
Exploring Operation: 79*84=6636, Resulting Numbers: [6636]
6636,34 unequal: No Solution
Exploring Operation: 84-79=5, Resulting Numbers: [5]
5,34 unequal: No Solution
Exploring Operation: 79+84=163, Resulting Numbers: [163]
163,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
6,
2,
23,
82
] | 61 | [
"82-6=76",
"76/2=38",
"23+38=61"
] | Current State: 61:[6, 2, 23, 82], Operations: []
Exploring Operation: 82-6=76, Resulting Numbers: [2, 23, 76]
Generated Node #2: [2, 23, 76] from Operation: 82-6=76
Current State: 61:[2, 23, 76], Operations: ['82-6=76']
Exploring Operation: 76/2=38, Resulting Numbers: [23, 38]
Generated Node #3: [23, 38] from Operation: 76/2=38
Current State: 61:[23, 38], Operations: ['82-6=76', '76/2=38']
Exploring Operation: 23+38=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[6, 2, 23, 82], Operations: []
Exploring Operation: 6*2=12, Resulting Numbers: [23, 82, 12]
Generated Node #0,0: 61:[23, 82, 12] Operation: 6*2=12
Exploring Operation: 2*23=46, Resulting Numbers: [6, 82, 46]
Generated Node #0,1: 61:[6, 82, 46] Operation: 2*23=46
Exploring Operation: 6+23=29, Resulting Numbers: [2, 82, 29]
Generated Node #0,2: 61:[2, 82, 29] Operation: 6+23=29
Exploring Operation: 6+2=8, Resulting Numbers: [23, 82, 8]
Generated Node #0,3: 61:[23, 82, 8] Operation: 6+2=8
Moving to Node #0,1
Current State: 61:[6, 82, 46], Operations: ['2*23=46']
Exploring Operation: 6+82=88, Resulting Numbers: [46, 88]
Generated Node #0,1,0: 61:[46, 88] Operation: 6+82=88
Exploring Operation: 6+46=52, Resulting Numbers: [82, 52]
Generated Node #0,1,1: 61:[82, 52] Operation: 6+46=52
Exploring Operation: 46-6=40, Resulting Numbers: [82, 40]
Generated Node #0,1,2: 61:[82, 40] Operation: 46-6=40
Exploring Operation: 82-6=76, Resulting Numbers: [46, 76]
Generated Node #0,1,3: 61:[46, 76] Operation: 82-6=76
Moving to Node #0,0
Current State: 61:[23, 82, 12], Operations: ['6*2=12']
Exploring Operation: 23-12=11, Resulting Numbers: [82, 11]
Generated Node #0,0,0: 61:[82, 11] Operation: 23-12=11
Exploring Operation: 82-12=70, Resulting Numbers: [23, 70]
Generated Node #0,0,1: 61:[23, 70] Operation: 82-12=70
Exploring Operation: 82-23=59, Resulting Numbers: [12, 59]
Generated Node #0,0,2: 61:[12, 59] Operation: 82-23=59
Exploring Operation: 23+12=35, Resulting Numbers: [82, 35]
Generated Node #0,0,3: 61:[82, 35] Operation: 23+12=35
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 61:[23, 70], Operations: ['6*2=12', '82-12=70']
Exploring Operation: 70-23=47, Resulting Numbers: [47]
47,61 unequal: No Solution
Exploring Operation: 23*70=1610, Resulting Numbers: [1610]
1610,61 unequal: No Solution
Exploring Operation: 23+70=93, Resulting Numbers: [93]
93,61 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:[82, 35], Operations: ['6*2=12', '23+12=35']
Exploring Operation: 82-35=47, Resulting Numbers: [47]
47,61 unequal: No Solution
Exploring Operation: 82*35=2870, Resulting Numbers: [2870]
2870,61 unequal: No Solution
Exploring Operation: 82+35=117, Resulting Numbers: [117]
117,61 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:[12, 59], Operations: ['6*2=12', '82-23=59']
Exploring Operation: 12*59=708, Resulting Numbers: [708]
708,61 unequal: No Solution
Exploring Operation: 59-12=47, Resulting Numbers: [47]
47,61 unequal: No Solution
Exploring Operation: 12+59=71, Resulting Numbers: [71]
71,61 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 #0,0,0
Current State: 61:[82, 11], Operations: ['6*2=12', '23-12=11']
Exploring Operation: 82+11=93, Resulting Numbers: [93]
93,61 unequal: No Solution
Exploring Operation: 82-11=71, Resulting Numbers: [71]
71,61 unequal: No Solution
Exploring Operation: 82*11=902, Resulting Numbers: [902]
902,61 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:[23, 82, 8], Operations: ['6+2=8']
Exploring Operation: 23-8=15, Resulting Numbers: [82, 15]
Generated Node #0,3,0: 61:[82, 15] Operation: 23-8=15
Exploring Operation: 82-8=74, Resulting Numbers: [23, 74]
Generated Node #0,3,1: 61:[23, 74] Operation: 82-8=74
Exploring Operation: 23+8=31, Resulting Numbers: [82, 31]
Generated Node #0,3,2: 61:[82, 31] Operation: 23+8=31
Exploring Operation: 82-23=59, Resulting Numbers: [8, 59]
Generated Node #0,3,3: 61:[8, 59] Operation: 82-23=59
Moving to Node #0,2
Current State: 61:[2, 82, 29], Operations: ['6+23=29']
Exploring Operation: 2+29=31, Resulting Numbers: [82, 31]
Generated Node #0,2,0: 61:[82, 31] Operation: 2+29=31
Exploring Operation: 82/2=41, Resulting Numbers: [29, 41]
Generated Node #0,2,1: 61:[29, 41] Operation: 82/2=41
Exploring Operation: 2*29=58, Resulting Numbers: [82, 58]
Generated Node #0,2,2: 61:[82, 58] Operation: 2*29=58
Exploring Operation: 82-2=80, Resulting Numbers: [29, 80]
Generated Node #0,2,3: 61:[29, 80] Operation: 82-2=80
Moving to Node #0,2,2
Current State: 61:[82, 58], Operations: ['6+23=29', '2*29=58']
Exploring Operation: 82-58=24, Resulting Numbers: [24]
24,61 unequal: No Solution
Exploring Operation: 82+58=140, Resulting Numbers: [140]
140,61 unequal: No Solution
Exploring Operation: 82*58=4756, Resulting Numbers: [4756]
4756,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[82, 52], Operations: ['2*23=46', '6+46=52']
Exploring Operation: 82-52=30, Resulting Numbers: [30]
30,61 unequal: No Solution
Exploring Operation: 82*52=4264, Resulting Numbers: [4264]
4264,61 unequal: No Solution
Exploring Operation: 82+52=134, Resulting Numbers: [134]
134,61 unequal: No Solution
Moving to Node #0,1,3
Current State: 61:[46, 76], Operations: ['2*23=46', '82-6=76']
Exploring Operation: 46*76=3496, Resulting Numbers: [3496]
3496,61 unequal: No Solution
Exploring Operation: 46+76=122, Resulting Numbers: [122]
122,61 unequal: No Solution
Exploring Operation: 76-46=30, Resulting Numbers: [30]
30,61 unequal: No Solution
Moving to Node #0,1,0
Current State: 61:[46, 88], Operations: ['2*23=46', '6+82=88']
Exploring Operation: 46+88=134, Resulting Numbers: [134]
134,61 unequal: No Solution
Exploring Operation: 88-46=42, Resulting Numbers: [42]
42,61 unequal: No Solution
Exploring Operation: 46*88=4048, Resulting Numbers: [4048]
4048,61 unequal: No Solution
Moving to Node #0,1,2
Current State: 61:[82, 40], Operations: ['2*23=46', '46-6=40']
Exploring Operation: 82-40=42, Resulting Numbers: [42]
42,61 unequal: No Solution
Exploring Operation: 82+40=122, Resulting Numbers: [122]
122,61 unequal: No Solution
Exploring Operation: 82*40=3280, Resulting Numbers: [3280]
3280,61 unequal: No Solution
Moving to Node #0,3,2
Current State: 61:[82, 31], Operations: ['6+2=8', '23+8=31']
Exploring Operation: 82-31=51, Resulting Numbers: [51]
51,61 unequal: No Solution
Exploring Operation: 82*31=2542, Resulting Numbers: [2542]
2542,61 unequal: No Solution
Exploring Operation: 82+31=113, Resulting Numbers: [113]
113,61 unequal: No Solution
Moving to Node #0,2,0
Current State: 61:[82, 31], Operations: ['6+23=29', '2+29=31']
Exploring Operation: 82-31=51, Resulting Numbers: [51]
51,61 unequal: No Solution
Exploring Operation: 82+31=113, Resulting Numbers: [113]
113,61 unequal: No Solution
Exploring Operation: 82*31=2542, Resulting Numbers: [2542]
2542,61 unequal: No Solution
Moving to Node #0,3,1
Current State: 61:[23, 74], Operations: ['6+2=8', '82-8=74']
Exploring Operation: 23+74=97, Resulting Numbers: [97]
97,61 unequal: No Solution
Exploring Operation: 74-23=51, Resulting Numbers: [51]
51,61 unequal: No Solution
Exploring Operation: 23*74=1702, Resulting Numbers: [1702]
1702,61 unequal: No Solution
Moving to Node #0,2,3
Current State: 61:[29, 80], Operations: ['6+23=29', '82-2=80']
Exploring Operation: 29*80=2320, Resulting Numbers: [2320]
2320,61 unequal: No Solution
Exploring Operation: 80-29=51, Resulting Numbers: [51]
51,61 unequal: No Solution
Exploring Operation: 29+80=109, Resulting Numbers: [109]
109,61 unequal: No Solution
Moving to Node #0,2,1
Current State: 61:[29, 41], Operations: ['6+23=29', '82/2=41']
Exploring Operation: 41-29=12, Resulting Numbers: [12]
12,61 unequal: No Solution
Exploring Operation: 29+41=70, Resulting Numbers: [70]
70,61 unequal: No Solution
Exploring Operation: 29*41=1189, Resulting Numbers: [1189]
1189,61 unequal: No Solution
Moving to Node #0,3,3
Current State: 61:[8, 59], Operations: ['6+2=8', '82-23=59']
Exploring Operation: 59-8=51, Resulting Numbers: [51]
51,61 unequal: No Solution
Exploring Operation: 8*59=472, Resulting Numbers: [472]
472,61 unequal: No Solution
Exploring Operation: 8+59=67, Resulting Numbers: [67]
67,61 unequal: No Solution
Moving to Node #0,3,0
Current State: 61:[82, 15], Operations: ['6+2=8', '23-8=15']
Exploring Operation: 82*15=1230, Resulting Numbers: [1230]
1230,61 unequal: No Solution
Exploring Operation: 82+15=97, Resulting Numbers: [97]
97,61 unequal: No Solution
Exploring Operation: 82-15=67, Resulting Numbers: [67]
67,61 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
75,
13,
16,
35
] | 60 | [
"16-13=3",
"75/3=25",
"35+25=60"
] | Current State: 60:[75, 13, 16, 35], Operations: []
Exploring Operation: 16-13=3, Resulting Numbers: [75, 35, 3]
Generated Node #2: [75, 35, 3] from Operation: 16-13=3
Current State: 60:[75, 35, 3], Operations: ['16-13=3']
Exploring Operation: 75/3=25, Resulting Numbers: [35, 25]
Generated Node #3: [35, 25] from Operation: 75/3=25
Current State: 60:[35, 25], Operations: ['16-13=3', '75/3=25']
Exploring Operation: 35+25=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[75, 13, 16, 35], Operations: []
Exploring Operation: 35-16=19, Resulting Numbers: [75, 13, 19]
Generated Node #0,0: 60:[75, 13, 19] Operation: 35-16=19
Exploring Operation: 75-35=40, Resulting Numbers: [13, 16, 40]
Generated Node #0,1: 60:[13, 16, 40] Operation: 75-35=40
Exploring Operation: 75-16=59, Resulting Numbers: [13, 35, 59]
Generated Node #0,2: 60:[13, 35, 59] Operation: 75-16=59
Exploring Operation: 75-13=62, Resulting Numbers: [16, 35, 62]
Generated Node #0,3: 60:[16, 35, 62] Operation: 75-13=62
Start Sub Search at level 1: Moving to Node #0,2
Current State: 60:[13, 35, 59], Operations: ['75-16=59']
Exploring Operation: 13+59=72, Resulting Numbers: [35, 72]
Generated Node #0,2,0: 60:[35, 72] Operation: 13+59=72
Exploring Operation: 13+35=48, Resulting Numbers: [59, 48]
Generated Node #0,2,1: 60:[59, 48] Operation: 13+35=48
Exploring Operation: 35-13=22, Resulting Numbers: [59, 22]
Generated Node #0,2,2: 60:[59, 22] Operation: 35-13=22
Exploring Operation: 59-35=24, Resulting Numbers: [13, 24]
Generated Node #0,2,3: 60:[13, 24] Operation: 59-35=24
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 60:[59, 22], Operations: ['75-16=59', '35-13=22']
Exploring Operation: 59+22=81, Resulting Numbers: [81]
81,60 unequal: No Solution
Exploring Operation: 59*22=1298, Resulting Numbers: [1298]
1298,60 unequal: No Solution
Exploring Operation: 59-22=37, Resulting Numbers: [37]
37,60 unequal: No Solution
No 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: 60:[13, 24], Operations: ['75-16=59', '59-35=24']
Exploring Operation: 24-13=11, Resulting Numbers: [11]
11,60 unequal: No Solution
Exploring Operation: 13*24=312, Resulting Numbers: [312]
312,60 unequal: No Solution
Exploring Operation: 13+24=37, Resulting Numbers: [37]
37,60 unequal: No Solution
No 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: 60:[59, 48], Operations: ['75-16=59', '13+35=48']
Exploring Operation: 59+48=107, Resulting Numbers: [107]
107,60 unequal: No Solution
Exploring Operation: 59*48=2832, Resulting Numbers: [2832]
2832,60 unequal: No Solution
Exploring Operation: 59-48=11, Resulting Numbers: [11]
11,60 unequal: No Solution
No 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: 60:[35, 72], Operations: ['75-16=59', '13+59=72']
Exploring Operation: 35*72=2520, Resulting Numbers: [2520]
2520,60 unequal: No Solution
Exploring Operation: 72-35=37, Resulting Numbers: [37]
37,60 unequal: No Solution
Exploring Operation: 35+72=107, Resulting Numbers: [107]
107,60 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: 60:[16, 35, 62], Operations: ['75-13=62']
Exploring Operation: 35-16=19, Resulting Numbers: [62, 19]
Generated Node #0,3,0: 60:[62, 19] Operation: 35-16=19
Exploring Operation: 62-35=27, Resulting Numbers: [16, 27]
Generated Node #0,3,1: 60:[16, 27] Operation: 62-35=27
Exploring Operation: 62-16=46, Resulting Numbers: [35, 46]
Generated Node #0,3,2: 60:[35, 46] Operation: 62-16=46
Exploring Operation: 16+35=51, Resulting Numbers: [62, 51]
Generated Node #0,3,3: 60:[62, 51] Operation: 16+35=51
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 60:[62, 19], Operations: ['75-13=62', '35-16=19']
Exploring Operation: 62*19=1178, Resulting Numbers: [1178]
1178,60 unequal: No Solution
Exploring Operation: 62+19=81, Resulting Numbers: [81]
81,60 unequal: No Solution
Exploring Operation: 62-19=43, Resulting Numbers: [43]
43,60 unequal: No Solution
No 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: 60:[16, 27], Operations: ['75-13=62', '62-35=27']
Exploring Operation: 16+27=43, Resulting Numbers: [43]
43,60 unequal: No Solution
Exploring Operation: 16*27=432, Resulting Numbers: [432]
432,60 unequal: No Solution
Exploring Operation: 27-16=11, Resulting Numbers: [11]
11,60 unequal: No Solution
No 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: 60:[62, 51], Operations: ['75-13=62', '16+35=51']
Exploring Operation: 62*51=3162, Resulting Numbers: [3162]
3162,60 unequal: No Solution
Exploring Operation: 62-51=11, Resulting Numbers: [11]
11,60 unequal: No Solution
Exploring Operation: 62+51=113, Resulting Numbers: [113]
113,60 unequal: No Solution
No 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: 60:[35, 46], Operations: ['75-13=62', '62-16=46']
Exploring Operation: 35+46=81, Resulting Numbers: [81]
81,60 unequal: No Solution
Exploring Operation: 46-35=11, Resulting Numbers: [11]
11,60 unequal: No Solution
Exploring Operation: 35*46=1610, Resulting Numbers: [1610]
1610,60 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: 60:[13, 16, 40], Operations: ['75-35=40']
Exploring Operation: 13+40=53, Resulting Numbers: [16, 53]
Generated Node #0,1,0: 60:[16, 53] Operation: 13+40=53
Exploring Operation: 40-13=27, Resulting Numbers: [16, 27]
Generated Node #0,1,1: 60:[16, 27] Operation: 40-13=27
Exploring Operation: 40-16=24, Resulting Numbers: [13, 24]
Generated Node #0,1,2: 60:[13, 24] Operation: 40-16=24
Exploring Operation: 16+40=56, Resulting Numbers: [13, 56]
Generated Node #0,1,3: 60:[13, 56] Operation: 16+40=56
Moving to Node #0,1,1
Current State: 60:[16, 27], Operations: ['75-35=40', '40-13=27']
Exploring Operation: 16+27=43, Resulting Numbers: [43]
43,60 unequal: No Solution
Exploring Operation: 27-16=11, Resulting Numbers: [11]
11,60 unequal: No Solution
Exploring Operation: 16*27=432, Resulting Numbers: [432]
432,60 unequal: No Solution
Moving to Node #0,1,3
Current State: 60:[13, 56], Operations: ['75-35=40', '16+40=56']
Exploring Operation: 13*56=728, Resulting Numbers: [728]
728,60 unequal: No Solution
Exploring Operation: 56-13=43, Resulting Numbers: [43]
43,60 unequal: No Solution
Exploring Operation: 13+56=69, Resulting Numbers: [69]
69,60 unequal: No Solution
Moving to Node #0,1,2
Current State: 60:[13, 24], Operations: ['75-35=40', '40-16=24']
Exploring Operation: 13*24=312, Resulting Numbers: [312]
312,60 unequal: No Solution
Exploring Operation: 13+24=37, Resulting Numbers: [37]
37,60 unequal: No Solution
Exploring Operation: 24-13=11, Resulting Numbers: [11]
11,60 unequal: No Solution
Moving to Node #0,1,0
Current State: 60:[16, 53], Operations: ['75-35=40', '13+40=53']
Exploring Operation: 16*53=848, Resulting Numbers: [848]
848,60 unequal: No Solution
Exploring Operation: 53-16=37, Resulting Numbers: [37]
37,60 unequal: No Solution
Exploring Operation: 16+53=69, Resulting Numbers: [69]
69,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[75, 13, 19], Operations: ['35-16=19']
Exploring Operation: 75-13=62, Resulting Numbers: [19, 62]
Generated Node #0,0,0: 60:[19, 62] Operation: 75-13=62
Exploring Operation: 19-13=6, Resulting Numbers: [75, 6]
Generated Node #0,0,1: 60:[75, 6] Operation: 19-13=6
Exploring Operation: 13+19=32, Resulting Numbers: [75, 32]
Generated Node #0,0,2: 60:[75, 32] Operation: 13+19=32
Exploring Operation: 75-19=56, Resulting Numbers: [13, 56]
Generated Node #0,0,3: 60:[13, 56] Operation: 75-19=56
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 60:[19, 62], Operations: ['35-16=19', '75-13=62']
Exploring Operation: 19*62=1178, Resulting Numbers: [1178]
1178,60 unequal: No Solution
Exploring Operation: 19+62=81, Resulting Numbers: [81]
81,60 unequal: No Solution
Exploring Operation: 62-19=43, Resulting Numbers: [43]
43,60 unequal: No Solution
No 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: 60:[13, 56], Operations: ['35-16=19', '75-19=56']
Exploring Operation: 56-13=43, Resulting Numbers: [43]
43,60 unequal: No Solution
Exploring Operation: 13*56=728, Resulting Numbers: [728]
728,60 unequal: No Solution
Exploring Operation: 13+56=69, Resulting Numbers: [69]
69,60 unequal: No Solution
No 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: 60:[75, 6], Operations: ['35-16=19', '19-13=6']
Exploring Operation: 75-6=69, Resulting Numbers: [69]
69,60 unequal: No Solution
Exploring Operation: 75+6=81, Resulting Numbers: [81]
81,60 unequal: No Solution
Exploring Operation: 75*6=450, Resulting Numbers: [450]
450,60 unequal: No Solution
No 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: 60:[75, 32], Operations: ['35-16=19', '13+19=32']
Exploring Operation: 75*32=2400, Resulting Numbers: [2400]
2400,60 unequal: No Solution
Exploring Operation: 75-32=43, Resulting Numbers: [43]
43,60 unequal: No Solution
Exploring Operation: 75+32=107, Resulting Numbers: [107]
107,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
47,
42,
7,
28
] | 16 | [
"47-42=5",
"28-7=21",
"21-5=16"
] | Current State: 16:[47, 42, 7, 28], Operations: []
Exploring Operation: 47-42=5, Resulting Numbers: [7, 28, 5]
Generated Node #2: [7, 28, 5] from Operation: 47-42=5
Current State: 16:[7, 28, 5], Operations: ['47-42=5']
Exploring Operation: 28-7=21, Resulting Numbers: [5, 21]
Generated Node #3: [5, 21] from Operation: 28-7=21
Current State: 16:[5, 21], Operations: ['47-42=5', '28-7=21']
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[47, 42, 7, 28], Operations: []
Exploring Operation: 47-42=5, Resulting Numbers: [7, 28, 5]
Generated Node #0,0: 16:[7, 28, 5] Operation: 47-42=5
Exploring Operation: 47-28=19, Resulting Numbers: [42, 7, 19]
Generated Node #0,1: 16:[42, 7, 19] Operation: 47-28=19
Moving to Node #0,0
Current State: 16:[7, 28, 5], Operations: ['47-42=5']
Exploring Operation: 28/7=4, Resulting Numbers: [5, 4]
Generated Node #0,0,0: 16:[5, 4] Operation: 28/7=4
Exploring Operation: 28-7=21, Resulting Numbers: [5, 21]
Generated Node #0,0,1: 16:[5, 21] Operation: 28-7=21
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 16:[5, 4], Operations: ['47-42=5', '28/7=4']
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,16 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 16:[5, 21], Operations: ['47-42=5', '28-7=21']
Exploring Operation: 5+21=26, Resulting Numbers: [26]
26,16 unequal: No Solution
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[47, 42, 7, 28], Operations: []
Exploring Operation: 47-42=5, Resulting Numbers: [7, 28, 5]
Generated Node #0,0: 16:[7, 28, 5] Operation: 47-42=5
Moving to Node #0,0
Current State: 16:[7, 28, 5], Operations: ['47-42=5']
Exploring Operation: 28-7=21, Resulting Numbers: [5, 21]
Generated Node #0,0,1: 16:[5, 21] Operation: 28-7=21
Moving to Node #0,0,1
Current State: 16:[5, 21], Operations: ['47-42=5', '28-7=21']
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
2,
82,
5,
18
] | 61 | [
"2+82=84",
"5+18=23",
"84-23=61"
] | Current State: 61:[2, 82, 5, 18], Operations: []
Exploring Operation: 2+82=84, Resulting Numbers: [5, 18, 84]
Generated Node #2: [5, 18, 84] from Operation: 2+82=84
Current State: 61:[5, 18, 84], Operations: ['2+82=84']
Exploring Operation: 5+18=23, Resulting Numbers: [84, 23]
Generated Node #3: [84, 23] from Operation: 5+18=23
Current State: 61:[84, 23], Operations: ['2+82=84', '5+18=23']
Exploring Operation: 84-23=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[2, 82, 5, 18], Operations: []
Exploring Operation: 2*18=36, Resulting Numbers: [82, 5, 36]
Generated Node #0,0: 61:[82, 5, 36] Operation: 2*18=36
Exploring Operation: 5*18=90, Resulting Numbers: [2, 82, 90]
Generated Node #0,1: 61:[2, 82, 90] Operation: 5*18=90
Moving to Node #0,0
Current State: 61:[82, 5, 36], Operations: ['2*18=36']
Exploring Operation: 82-5=77, Resulting Numbers: [36, 77]
Generated Node #0,0,0: 61:[36, 77] Operation: 82-5=77
Exploring Operation: 5+36=41, Resulting Numbers: [82, 41]
Generated Node #0,0,1: 61:[82, 41] Operation: 5+36=41
Moving to Node #0,1
Current State: 61:[2, 82, 90], Operations: ['5*18=90']
Exploring Operation: 90/2=45, Resulting Numbers: [82, 45]
Generated Node #0,1,0: 61:[82, 45] Operation: 90/2=45
Exploring Operation: 82-2=80, Resulting Numbers: [90, 80]
Generated Node #0,1,1: 61:[90, 80] Operation: 82-2=80
Moving to Node #0,1,0
Current State: 61:[82, 45], Operations: ['5*18=90', '90/2=45']
Exploring Operation: 82+45=127, Resulting Numbers: [127]
127,61 unequal: No Solution
Exploring Operation: 82-45=37, Resulting Numbers: [37]
37,61 unequal: No Solution
Moving to Node #0,0,0
Current State: 61:[36, 77], Operations: ['2*18=36', '82-5=77']
Exploring Operation: 77-36=41, Resulting Numbers: [41]
41,61 unequal: No Solution
Exploring Operation: 36+77=113, Resulting Numbers: [113]
113,61 unequal: No Solution
Moving to Node #0,0,1
Current State: 61:[82, 41], Operations: ['2*18=36', '5+36=41']
Exploring Operation: 82-41=41, Resulting Numbers: [41]
41,61 unequal: No Solution
Exploring Operation: 82/41=2, Resulting Numbers: [2]
2,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[90, 80], Operations: ['5*18=90', '82-2=80']
Exploring Operation: 90+80=170, Resulting Numbers: [170]
170,61 unequal: No Solution
Exploring Operation: 90-80=10, Resulting Numbers: [10]
10,61 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
90,
20,
84,
53
] | 67 | [
"90-20=70",
"84+53=137",
"137-70=67"
] | Current State: 67:[90, 20, 84, 53], Operations: []
Exploring Operation: 90-20=70, Resulting Numbers: [84, 53, 70]
Generated Node #2: [84, 53, 70] from Operation: 90-20=70
Current State: 67:[84, 53, 70], Operations: ['90-20=70']
Exploring Operation: 84+53=137, Resulting Numbers: [70, 137]
Generated Node #3: [70, 137] from Operation: 84+53=137
Current State: 67:[70, 137], Operations: ['90-20=70', '84+53=137']
Exploring Operation: 137-70=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[90, 20, 84, 53], Operations: []
Exploring Operation: 90-20=70, Resulting Numbers: [84, 53, 70]
Generated Node #0,0: 67:[84, 53, 70] Operation: 90-20=70
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[84, 53, 70], Operations: ['90-20=70']
Exploring Operation: 84-53=31, Resulting Numbers: [70, 31]
Generated Node #0,0,0: 67:[70, 31] Operation: 84-53=31
Moving to Node #0,0,0
Current State: 67:[70, 31], Operations: ['90-20=70', '84-53=31']
Exploring Operation: 70-31=39, Resulting Numbers: [39]
39,67 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 |
[
15,
78,
10,
23
] | 11 | [
"15-10=5",
"78-23=55",
"55/5=11"
] | Current State: 11:[15, 78, 10, 23], Operations: []
Exploring Operation: 15-10=5, Resulting Numbers: [78, 23, 5]
Generated Node #2: [78, 23, 5] from Operation: 15-10=5
Current State: 11:[78, 23, 5], Operations: ['15-10=5']
Exploring Operation: 78-23=55, Resulting Numbers: [5, 55]
Generated Node #3: [5, 55] from Operation: 78-23=55
Current State: 11:[5, 55], Operations: ['15-10=5', '78-23=55']
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[15, 78, 10, 23], Operations: []
Exploring Operation: 78-23=55, Resulting Numbers: [15, 10, 55]
Generated Node #0,0: 11:[15, 10, 55] Operation: 78-23=55
Moving to Node #0,0
Current State: 11:[15, 10, 55], Operations: ['78-23=55']
Exploring Operation: 55-15=40, Resulting Numbers: [10, 40]
Generated Node #0,0,0: 11:[10, 40] Operation: 55-15=40
Moving to Node #0,0,0
Current State: 11:[10, 40], Operations: ['78-23=55', '55-15=40']
Exploring Operation: 40/10=4, Resulting Numbers: [4]
4,11 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
13,
34,
38,
66
] | 19 | [
"13+34=47",
"66-38=28",
"47-28=19"
] | Current State: 19:[13, 34, 38, 66], Operations: []
Exploring Operation: 13+34=47, Resulting Numbers: [38, 66, 47]
Generated Node #2: [38, 66, 47] from Operation: 13+34=47
Current State: 19:[38, 66, 47], Operations: ['13+34=47']
Exploring Operation: 66-38=28, Resulting Numbers: [47, 28]
Generated Node #3: [47, 28] from Operation: 66-38=28
Current State: 19:[47, 28], Operations: ['13+34=47', '66-38=28']
Exploring Operation: 47-28=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[13, 34, 38, 66], Operations: []
Exploring Operation: 66-38=28, Resulting Numbers: [13, 34, 28]
Generated Node #0,0: 19:[13, 34, 28] Operation: 66-38=28
Exploring Operation: 66-34=32, Resulting Numbers: [13, 38, 32]
Generated Node #0,1: 19:[13, 38, 32] Operation: 66-34=32
Exploring Operation: 34-13=21, Resulting Numbers: [38, 66, 21]
Generated Node #0,2: 19:[38, 66, 21] Operation: 34-13=21
Exploring Operation: 38-13=25, Resulting Numbers: [34, 66, 25]
Generated Node #0,3: 19:[34, 66, 25] Operation: 38-13=25
Moving to Node #0,0
Current State: 19:[13, 34, 28], Operations: ['66-38=28']
Exploring Operation: 34-28=6, Resulting Numbers: [13, 6]
Generated Node #0,0,0: 19:[13, 6] Operation: 34-28=6
Exploring Operation: 13+34=47, Resulting Numbers: [28, 47]
Generated Node #0,0,1: 19:[28, 47] Operation: 13+34=47
Exploring Operation: 34-13=21, Resulting Numbers: [28, 21]
Generated Node #0,0,2: 19:[28, 21] Operation: 34-13=21
Exploring Operation: 28-13=15, Resulting Numbers: [34, 15]
Generated Node #0,0,3: 19:[34, 15] Operation: 28-13=15
Moving to Node #0,1
Current State: 19:[13, 38, 32], Operations: ['66-34=32']
Exploring Operation: 38-13=25, Resulting Numbers: [32, 25]
Generated Node #0,1,0: 19:[32, 25] Operation: 38-13=25
Exploring Operation: 13+38=51, Resulting Numbers: [32, 51]
Generated Node #0,1,1: 19:[32, 51] Operation: 13+38=51
Exploring Operation: 38-32=6, Resulting Numbers: [13, 6]
Generated Node #0,1,2: 19:[13, 6] Operation: 38-32=6
Exploring Operation: 32-13=19, Resulting Numbers: [38, 19]
Generated Node #0,1,3: 19:[38, 19] Operation: 32-13=19
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 19:[32, 25], Operations: ['66-34=32', '38-13=25']
Exploring Operation: 32-25=7, Resulting Numbers: [7]
7,19 unequal: No Solution
Exploring Operation: 32*25=800, Resulting Numbers: [800]
800,19 unequal: No Solution
Exploring Operation: 32+25=57, Resulting Numbers: [57]
57,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 19:[13, 6], Operations: ['66-34=32', '38-32=6']
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,19 unequal: No Solution
Exploring Operation: 13*6=78, Resulting Numbers: [78]
78,19 unequal: No Solution
Exploring Operation: 13+6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[13, 34, 38, 66], Operations: []
Exploring Operation: 66-34=32, Resulting Numbers: [13, 38, 32]
Generated Node #0,1: 19:[13, 38, 32] Operation: 66-34=32
Moving to Node #0,1
Current State: 19:[13, 38, 32], Operations: ['66-34=32']
Exploring Operation: 38-32=6, Resulting Numbers: [13, 6]
Generated Node #0,1,2: 19:[13, 6] Operation: 38-32=6
Moving to Node #0,1,2
Current State: 19:[13, 6], Operations: ['66-34=32', '38-32=6']
Exploring Operation: 13+6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_4 | sum_heuristic |
[
9,
76,
13,
65
] | 90 | [
"9+76=85",
"65/13=5",
"85+5=90"
] | Current State: 90:[9, 76, 13, 65], Operations: []
Exploring Operation: 9+76=85, Resulting Numbers: [13, 65, 85]
Generated Node #2: [13, 65, 85] from Operation: 9+76=85
Current State: 90:[13, 65, 85], Operations: ['9+76=85']
Exploring Operation: 65/13=5, Resulting Numbers: [85, 5]
Generated Node #3: [85, 5] from Operation: 65/13=5
Current State: 90:[85, 5], Operations: ['9+76=85', '65/13=5']
Exploring Operation: 85+5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[9, 76, 13, 65], Operations: []
Exploring Operation: 65/13=5, Resulting Numbers: [9, 76, 5]
Generated Node #0,0: 90:[9, 76, 5] Operation: 65/13=5
Exploring Operation: 76+13=89, Resulting Numbers: [9, 65, 89]
Generated Node #0,1: 90:[9, 65, 89] Operation: 76+13=89
Exploring Operation: 76-65=11, Resulting Numbers: [9, 13, 11]
Generated Node #0,2: 90:[9, 13, 11] Operation: 76-65=11
Start Sub Search at level 1: Moving to Node #0,2
Current State: 90:[9, 13, 11], Operations: ['76-65=11']
Exploring Operation: 11-9=2, Resulting Numbers: [13, 2]
Generated Node #0,2,0: 90:[13, 2] Operation: 11-9=2
Exploring Operation: 13-11=2, Resulting Numbers: [9, 2]
Generated Node #0,2,1: 90:[9, 2] Operation: 13-11=2
Exploring Operation: 13-9=4, Resulting Numbers: [11, 4]
Generated Node #0,2,2: 90:[11, 4] Operation: 13-9=4
Moving to Node #0,2,1
Current State: 90:[9, 2], Operations: ['76-65=11', '13-11=2']
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,90 unequal: No Solution
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,90 unequal: No Solution
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,90 unequal: No Solution
Moving to Node #0,2,0
Current State: 90:[13, 2], Operations: ['76-65=11', '11-9=2']
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,90 unequal: No Solution
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,90 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,90 unequal: No Solution
Moving to Node #0,2,2
Current State: 90:[11, 4], Operations: ['76-65=11', '13-9=4']
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,90 unequal: No Solution
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,90 unequal: No Solution
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[9, 76, 5], Operations: ['65/13=5']
Exploring Operation: 76+5=81, Resulting Numbers: [9, 81]
Generated Node #0,0,0: 90:[9, 81] Operation: 76+5=81
Exploring Operation: 9*5=45, Resulting Numbers: [76, 45]
Generated Node #0,0,1: 90:[76, 45] Operation: 9*5=45
Exploring Operation: 9+76=85, Resulting Numbers: [5, 85]
Generated Node #0,0,2: 90:[5, 85] Operation: 9+76=85
Moving to Node #0,0,2
Current State: 90:[5, 85], Operations: ['65/13=5', '9+76=85']
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,90 unequal: No Solution
Exploring Operation: 5+85=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[9, 76, 13, 65], Operations: []
Exploring Operation: 65/13=5, Resulting Numbers: [9, 76, 5]
Generated Node #0,0: 90:[9, 76, 5] Operation: 65/13=5
Moving to Node #0,0
Current State: 90:[9, 76, 5], Operations: ['65/13=5']
Exploring Operation: 9+76=85, Resulting Numbers: [5, 85]
Generated Node #0,0,2: 90:[5, 85] Operation: 9+76=85
Moving to Node #0,0,2
Current State: 90:[5, 85], Operations: ['65/13=5', '9+76=85']
Exploring Operation: 5+85=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_3 | mult_heuristic |
[
61,
72,
48,
74
] | 74 | [
"74-72=2",
"61*2=122",
"122-48=74"
] | Current State: 74:[61, 72, 48, 74], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [61, 48, 2]
Generated Node #2: [61, 48, 2] from Operation: 74-72=2
Current State: 74:[61, 48, 2], Operations: ['74-72=2']
Exploring Operation: 61*2=122, Resulting Numbers: [48, 122]
Generated Node #3: [48, 122] from Operation: 61*2=122
Current State: 74:[48, 122], Operations: ['74-72=2', '61*2=122']
Exploring Operation: 122-48=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[61, 72, 48, 74], Operations: []
Exploring Operation: 61-48=13, Resulting Numbers: [72, 74, 13]
Generated Node #0,0: 74:[72, 74, 13] Operation: 61-48=13
Exploring Operation: 72-61=11, Resulting Numbers: [48, 74, 11]
Generated Node #0,1: 74:[48, 74, 11] Operation: 72-61=11
Exploring Operation: 74-61=13, Resulting Numbers: [72, 48, 13]
Generated Node #0,2: 74:[72, 48, 13] Operation: 74-61=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[72, 74, 13], Operations: ['61-48=13']
Exploring Operation: 74-72=2, Resulting Numbers: [13, 2]
Generated Node #0,0,0: 74:[13, 2] Operation: 74-72=2
Exploring Operation: 72+13=85, Resulting Numbers: [74, 85]
Generated Node #0,0,1: 74:[74, 85] Operation: 72+13=85
Exploring Operation: 72-13=59, Resulting Numbers: [74, 59]
Generated Node #0,0,2: 74:[74, 59] Operation: 72-13=59
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 74:[13, 2], Operations: ['61-48=13', '74-72=2']
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,74 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,74 unequal: No Solution
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,74 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:[74, 85], Operations: ['61-48=13', '72+13=85']
Exploring Operation: 74+85=159, Resulting Numbers: [159]
159,74 unequal: No Solution
Exploring Operation: 85-74=11, Resulting Numbers: [11]
11,74 unequal: No Solution
Exploring Operation: 74*85=6290, Resulting Numbers: [6290]
6290,74 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 #0,0,2
Current State: 74:[74, 59], Operations: ['61-48=13', '72-13=59']
Exploring Operation: 74+59=133, Resulting Numbers: [133]
133,74 unequal: No Solution
Exploring Operation: 74-59=15, Resulting Numbers: [15]
15,74 unequal: No Solution
Exploring Operation: 74*59=4366, Resulting Numbers: [4366]
4366,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[48, 74, 11], Operations: ['72-61=11']
Exploring Operation: 74-48=26, Resulting Numbers: [11, 26]
Generated Node #0,1,0: 74:[11, 26] Operation: 74-48=26
Exploring Operation: 48+11=59, Resulting Numbers: [74, 59]
Generated Node #0,1,1: 74:[74, 59] Operation: 48+11=59
Exploring Operation: 48-11=37, Resulting Numbers: [74, 37]
Generated Node #0,1,2: 74:[74, 37] Operation: 48-11=37
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 74:[74, 37], Operations: ['72-61=11', '48-11=37']
Exploring Operation: 74/37=2, Resulting Numbers: [2]
2,74 unequal: No Solution
Exploring Operation: 74-37=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Exploring Operation: 74+37=111, Resulting Numbers: [111]
111,74 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:[74, 59], Operations: ['72-61=11', '48+11=59']
Exploring Operation: 74*59=4366, Resulting Numbers: [4366]
4366,74 unequal: No Solution
Exploring Operation: 74-59=15, Resulting Numbers: [15]
15,74 unequal: No Solution
Exploring Operation: 74+59=133, Resulting Numbers: [133]
133,74 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:[11, 26], Operations: ['72-61=11', '74-48=26']
Exploring Operation: 11+26=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Exploring Operation: 11*26=286, Resulting Numbers: [286]
286,74 unequal: No Solution
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,74 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:[72, 48, 13], Operations: ['74-61=13']
Exploring Operation: 48+13=61, Resulting Numbers: [72, 61]
Generated Node #0,2,0: 74:[72, 61] Operation: 48+13=61
Exploring Operation: 72+13=85, Resulting Numbers: [48, 85]
Generated Node #0,2,1: 74:[48, 85] Operation: 72+13=85
Exploring Operation: 48-13=35, Resulting Numbers: [72, 35]
Generated Node #0,2,2: 74:[72, 35] Operation: 48-13=35
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 74:[72, 35], Operations: ['74-61=13', '48-13=35']
Exploring Operation: 72*35=2520, Resulting Numbers: [2520]
2520,74 unequal: No Solution
Exploring Operation: 72-35=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Exploring Operation: 72+35=107, Resulting Numbers: [107]
107,74 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:[72, 61], Operations: ['74-61=13', '48+13=61']
Exploring Operation: 72*61=4392, Resulting Numbers: [4392]
4392,74 unequal: No Solution
Exploring Operation: 72+61=133, Resulting Numbers: [133]
133,74 unequal: No Solution
Exploring Operation: 72-61=11, Resulting Numbers: [11]
11,74 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 #0,2,1
Current State: 74:[48, 85], Operations: ['74-61=13', '72+13=85']
Exploring Operation: 85-48=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Exploring Operation: 48+85=133, Resulting Numbers: [133]
133,74 unequal: No Solution
Exploring Operation: 48*85=4080, Resulting Numbers: [4080]
4080,74 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_3 | sum_heuristic |
[
90,
30,
95,
62
] | 30 | [
"90/30=3",
"95-62=33",
"33-3=30"
] | Current State: 30:[90, 30, 95, 62], Operations: []
Exploring Operation: 90/30=3, Resulting Numbers: [95, 62, 3]
Generated Node #2: [95, 62, 3] from Operation: 90/30=3
Current State: 30:[95, 62, 3], Operations: ['90/30=3']
Exploring Operation: 95-62=33, Resulting Numbers: [3, 33]
Generated Node #3: [3, 33] from Operation: 95-62=33
Current State: 30:[3, 33], Operations: ['90/30=3', '95-62=33']
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[90, 30, 95, 62], Operations: []
Exploring Operation: 95-90=5, Resulting Numbers: [30, 62, 5]
Generated Node #0,0: 30:[30, 62, 5] Operation: 95-90=5
Exploring Operation: 95-62=33, Resulting Numbers: [90, 30, 33]
Generated Node #0,1: 30:[90, 30, 33] Operation: 95-62=33
Moving to Node #0,0
Current State: 30:[30, 62, 5], Operations: ['95-90=5']
Exploring Operation: 62-30=32, Resulting Numbers: [5, 32]
Generated Node #0,0,0: 30:[5, 32] Operation: 62-30=32
Exploring Operation: 62-5=57, Resulting Numbers: [30, 57]
Generated Node #0,0,1: 30:[30, 57] Operation: 62-5=57
Moving to Node #0,1
Current State: 30:[90, 30, 33], Operations: ['95-62=33']
Exploring Operation: 90-33=57, Resulting Numbers: [30, 57]
Generated Node #0,1,0: 30:[30, 57] Operation: 90-33=57
Exploring Operation: 90/30=3, Resulting Numbers: [33, 3]
Generated Node #0,1,1: 30:[33, 3] Operation: 90/30=3
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 30:[33, 3], Operations: ['95-62=33', '90/30=3']
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[90, 30, 95, 62], Operations: []
Exploring Operation: 95-62=33, Resulting Numbers: [90, 30, 33]
Generated Node #0,1: 30:[90, 30, 33] Operation: 95-62=33
Moving to Node #0,1
Current State: 30:[90, 30, 33], Operations: ['95-62=33']
Exploring Operation: 90/30=3, Resulting Numbers: [33, 3]
Generated Node #0,1,1: 30:[33, 3] Operation: 90/30=3
Moving to Node #0,1,1
Current State: 30:[33, 3], Operations: ['95-62=33', '90/30=3']
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
20,
85,
8,
58
] | 17 | [
"20*8=160",
"85+58=143",
"160-143=17"
] | Current State: 17:[20, 85, 8, 58], Operations: []
Exploring Operation: 20*8=160, Resulting Numbers: [85, 58, 160]
Generated Node #2: [85, 58, 160] from Operation: 20*8=160
Current State: 17:[85, 58, 160], Operations: ['20*8=160']
Exploring Operation: 85+58=143, Resulting Numbers: [160, 143]
Generated Node #3: [160, 143] from Operation: 85+58=143
Current State: 17:[160, 143], Operations: ['20*8=160', '85+58=143']
Exploring Operation: 160-143=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[20, 85, 8, 58], Operations: []
Exploring Operation: 85-20=65, Resulting Numbers: [8, 58, 65]
Generated Node #0,0: 17:[8, 58, 65] Operation: 85-20=65
Exploring Operation: 85-8=77, Resulting Numbers: [20, 58, 77]
Generated Node #0,1: 17:[20, 58, 77] Operation: 85-8=77
Exploring Operation: 85-58=27, Resulting Numbers: [20, 8, 27]
Generated Node #0,2: 17:[20, 8, 27] Operation: 85-58=27
Exploring Operation: 58-20=38, Resulting Numbers: [85, 8, 38]
Generated Node #0,3: 17:[85, 8, 38] Operation: 58-20=38
Start Sub Search at level 1: Moving to Node #0,2
Current State: 17:[20, 8, 27], Operations: ['85-58=27']
Exploring Operation: 27-20=7, Resulting Numbers: [8, 7]
Generated Node #0,2,0: 17:[8, 7] Operation: 27-20=7
Exploring Operation: 27-8=19, Resulting Numbers: [20, 19]
Generated Node #0,2,1: 17:[20, 19] Operation: 27-8=19
Exploring Operation: 20-8=12, Resulting Numbers: [27, 12]
Generated Node #0,2,2: 17:[27, 12] Operation: 20-8=12
Exploring Operation: 20+8=28, Resulting Numbers: [27, 28]
Generated Node #0,2,3: 17:[27, 28] Operation: 20+8=28
Moving to Node #0,2,1
Current State: 17:[20, 19], Operations: ['85-58=27', '27-8=19']
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,17 unequal: No Solution
Exploring Operation: 20*19=380, Resulting Numbers: [380]
380,17 unequal: No Solution
Exploring Operation: 20+19=39, Resulting Numbers: [39]
39,17 unequal: No Solution
Moving to Node #0,2,2
Current State: 17:[27, 12], Operations: ['85-58=27', '20-8=12']
Exploring Operation: 27*12=324, Resulting Numbers: [324]
324,17 unequal: No Solution
Exploring Operation: 27-12=15, Resulting Numbers: [15]
15,17 unequal: No Solution
Exploring Operation: 27+12=39, Resulting Numbers: [39]
39,17 unequal: No Solution
Moving to Node #0,2,0
Current State: 17:[8, 7], Operations: ['85-58=27', '27-20=7']
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,17 unequal: No Solution
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,17 unequal: No Solution
Moving to Node #0,2,3
Current State: 17:[27, 28], Operations: ['85-58=27', '20+8=28']
Exploring Operation: 27+28=55, Resulting Numbers: [55]
55,17 unequal: No Solution
Exploring Operation: 27*28=756, Resulting Numbers: [756]
756,17 unequal: No Solution
Exploring Operation: 28-27=1, Resulting Numbers: [1]
1,17 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 #0,0
Current State: 17:[8, 58, 65], Operations: ['85-20=65']
Exploring Operation: 65-8=57, Resulting Numbers: [58, 57]
Generated Node #0,0,0: 17:[58, 57] Operation: 65-8=57
Exploring Operation: 58-8=50, Resulting Numbers: [65, 50]
Generated Node #0,0,1: 17:[65, 50] Operation: 58-8=50
Exploring Operation: 8+58=66, Resulting Numbers: [65, 66]
Generated Node #0,0,2: 17:[65, 66] Operation: 8+58=66
Exploring Operation: 65-58=7, Resulting Numbers: [8, 7]
Generated Node #0,0,3: 17:[8, 7] Operation: 65-58=7
Moving to Node #0,0,3
Current State: 17:[8, 7], Operations: ['85-20=65', '65-58=7']
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,17 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,17 unequal: No Solution
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Moving to Node #0,0,1
Current State: 17:[65, 50], Operations: ['85-20=65', '58-8=50']
Exploring Operation: 65+50=115, Resulting Numbers: [115]
115,17 unequal: No Solution
Exploring Operation: 65*50=3250, Resulting Numbers: [3250]
3250,17 unequal: No Solution
Exploring Operation: 65-50=15, Resulting Numbers: [15]
15,17 unequal: No Solution
Moving to Node #0,0,0
Current State: 17:[58, 57], Operations: ['85-20=65', '65-8=57']
Exploring Operation: 58-57=1, Resulting Numbers: [1]
1,17 unequal: No Solution
Exploring Operation: 58+57=115, Resulting Numbers: [115]
115,17 unequal: No Solution
Exploring Operation: 58*57=3306, Resulting Numbers: [3306]
3306,17 unequal: No Solution
Moving to Node #0,0,2
Current State: 17:[65, 66], Operations: ['85-20=65', '8+58=66']
Exploring Operation: 65*66=4290, Resulting Numbers: [4290]
4290,17 unequal: No Solution
Exploring Operation: 65+66=131, Resulting Numbers: [131]
131,17 unequal: No Solution
Exploring Operation: 66-65=1, Resulting Numbers: [1]
1,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 17:[85, 8, 38], Operations: ['58-20=38']
Exploring Operation: 85+8=93, Resulting Numbers: [38, 93]
Generated Node #0,3,0: 17:[38, 93] Operation: 85+8=93
Exploring Operation: 85-8=77, Resulting Numbers: [38, 77]
Generated Node #0,3,1: 17:[38, 77] Operation: 85-8=77
Exploring Operation: 38-8=30, Resulting Numbers: [85, 30]
Generated Node #0,3,2: 17:[85, 30] Operation: 38-8=30
Exploring Operation: 85-38=47, Resulting Numbers: [8, 47]
Generated Node #0,3,3: 17:[8, 47] Operation: 85-38=47
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 17:[8, 47], Operations: ['58-20=38', '85-38=47']
Exploring Operation: 8*47=376, Resulting Numbers: [376]
376,17 unequal: No Solution
Exploring Operation: 8+47=55, Resulting Numbers: [55]
55,17 unequal: No Solution
Exploring Operation: 47-8=39, Resulting Numbers: [39]
39,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 17:[38, 77], Operations: ['58-20=38', '85-8=77']
Exploring Operation: 77-38=39, Resulting Numbers: [39]
39,17 unequal: No Solution
Exploring Operation: 38*77=2926, Resulting Numbers: [2926]
2926,17 unequal: No Solution
Exploring Operation: 38+77=115, Resulting Numbers: [115]
115,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 17:[85, 30], Operations: ['58-20=38', '38-8=30']
Exploring Operation: 85+30=115, Resulting Numbers: [115]
115,17 unequal: No Solution
Exploring Operation: 85-30=55, Resulting Numbers: [55]
55,17 unequal: No Solution
Exploring Operation: 85*30=2550, Resulting Numbers: [2550]
2550,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 17:[38, 93], Operations: ['58-20=38', '85+8=93']
Exploring Operation: 38+93=131, Resulting Numbers: [131]
131,17 unequal: No Solution
Exploring Operation: 38*93=3534, Resulting Numbers: [3534]
3534,17 unequal: No Solution
Exploring Operation: 93-38=55, Resulting Numbers: [55]
55,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 17:[20, 58, 77], Operations: ['85-8=77']
Exploring Operation: 77-20=57, Resulting Numbers: [58, 57]
Generated Node #0,1,0: 17:[58, 57] Operation: 77-20=57
Exploring Operation: 77-58=19, Resulting Numbers: [20, 19]
Generated Node #0,1,1: 17:[20, 19] Operation: 77-58=19
Exploring Operation: 58-20=38, Resulting Numbers: [77, 38]
Generated Node #0,1,2: 17:[77, 38] Operation: 58-20=38
Exploring Operation: 20+58=78, Resulting Numbers: [77, 78]
Generated Node #0,1,3: 17:[77, 78] Operation: 20+58=78
Moving to Node #0,1,1
Current State: 17:[20, 19], Operations: ['85-8=77', '77-58=19']
Exploring Operation: 20*19=380, Resulting Numbers: [380]
380,17 unequal: No Solution
Exploring Operation: 20+19=39, Resulting Numbers: [39]
39,17 unequal: No Solution
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,17 unequal: No Solution
Moving to Node #0,1,2
Current State: 17:[77, 38], Operations: ['85-8=77', '58-20=38']
Exploring Operation: 77+38=115, Resulting Numbers: [115]
115,17 unequal: No Solution
Exploring Operation: 77*38=2926, Resulting Numbers: [2926]
2926,17 unequal: No Solution
Exploring Operation: 77-38=39, Resulting Numbers: [39]
39,17 unequal: No Solution
Moving to Node #0,1,0
Current State: 17:[58, 57], Operations: ['85-8=77', '77-20=57']
Exploring Operation: 58*57=3306, Resulting Numbers: [3306]
3306,17 unequal: No Solution
Exploring Operation: 58+57=115, Resulting Numbers: [115]
115,17 unequal: No Solution
Exploring Operation: 58-57=1, Resulting Numbers: [1]
1,17 unequal: No Solution
Moving to Node #0,1,3
Current State: 17:[77, 78], Operations: ['85-8=77', '20+58=78']
Exploring Operation: 78-77=1, Resulting Numbers: [1]
1,17 unequal: No Solution
Exploring Operation: 77+78=155, Resulting Numbers: [155]
155,17 unequal: No Solution
Exploring Operation: 77*78=6006, Resulting Numbers: [6006]
6006,17 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 |
[
25,
35,
14,
6
] | 24 | [
"25+35=60",
"14*6=84",
"84-60=24"
] | Current State: 24:[25, 35, 14, 6], Operations: []
Exploring Operation: 25+35=60, Resulting Numbers: [14, 6, 60]
Generated Node #2: [14, 6, 60] from Operation: 25+35=60
Current State: 24:[14, 6, 60], Operations: ['25+35=60']
Exploring Operation: 14*6=84, Resulting Numbers: [60, 84]
Generated Node #3: [60, 84] from Operation: 14*6=84
Current State: 24:[60, 84], Operations: ['25+35=60', '14*6=84']
Exploring Operation: 84-60=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[25, 35, 14, 6], Operations: []
Exploring Operation: 35-6=29, Resulting Numbers: [25, 14, 29]
Generated Node #0,0: 24:[25, 14, 29] Operation: 35-6=29
Exploring Operation: 35-25=10, Resulting Numbers: [14, 6, 10]
Generated Node #0,1: 24:[14, 6, 10] Operation: 35-25=10
Exploring Operation: 35-14=21, Resulting Numbers: [25, 6, 21]
Generated Node #0,2: 24:[25, 6, 21] Operation: 35-14=21
Exploring Operation: 25-14=11, Resulting Numbers: [35, 6, 11]
Generated Node #0,3: 24:[35, 6, 11] Operation: 25-14=11
Moving to Node #0,1
Current State: 24:[14, 6, 10], Operations: ['35-25=10']
Exploring Operation: 14-6=8, Resulting Numbers: [10, 8]
Generated Node #0,1,0: 24:[10, 8] Operation: 14-6=8
Exploring Operation: 14+10=24, Resulting Numbers: [6, 24]
Generated Node #0,1,1: 24:[6, 24] Operation: 14+10=24
Exploring Operation: 10-6=4, Resulting Numbers: [14, 4]
Generated Node #0,1,2: 24:[14, 4] Operation: 10-6=4
Exploring Operation: 14-10=4, Resulting Numbers: [6, 4]
Generated Node #0,1,3: 24:[6, 4] Operation: 14-10=4
Moving to Node #0,2
Current State: 24:[25, 6, 21], Operations: ['35-14=21']
Exploring Operation: 6+21=27, Resulting Numbers: [25, 27]
Generated Node #0,2,0: 24:[25, 27] Operation: 6+21=27
Exploring Operation: 25-6=19, Resulting Numbers: [21, 19]
Generated Node #0,2,1: 24:[21, 19] Operation: 25-6=19
Exploring Operation: 25-21=4, Resulting Numbers: [6, 4]
Generated Node #0,2,2: 24:[6, 4] Operation: 25-21=4
Exploring Operation: 21-6=15, Resulting Numbers: [25, 15]
Generated Node #0,2,3: 24:[25, 15] Operation: 21-6=15
Moving to Node #0,0
Current State: 24:[25, 14, 29], Operations: ['35-6=29']
Exploring Operation: 25+14=39, Resulting Numbers: [29, 39]
Generated Node #0,0,0: 24:[29, 39] Operation: 25+14=39
Exploring Operation: 29-14=15, Resulting Numbers: [25, 15]
Generated Node #0,0,1: 24:[25, 15] Operation: 29-14=15
Exploring Operation: 25-14=11, Resulting Numbers: [29, 11]
Generated Node #0,0,2: 24:[29, 11] Operation: 25-14=11
Exploring Operation: 29-25=4, Resulting Numbers: [14, 4]
Generated Node #0,0,3: 24:[14, 4] Operation: 29-25=4
Moving to Node #0,3
Current State: 24:[35, 6, 11], Operations: ['25-14=11']
Exploring Operation: 11-6=5, Resulting Numbers: [35, 5]
Generated Node #0,3,0: 24:[35, 5] Operation: 11-6=5
Exploring Operation: 35-6=29, Resulting Numbers: [11, 29]
Generated Node #0,3,1: 24:[11, 29] Operation: 35-6=29
Exploring Operation: 35-11=24, Resulting Numbers: [6, 24]
Generated Node #0,3,2: 24:[6, 24] Operation: 35-11=24
Exploring Operation: 6+11=17, Resulting Numbers: [35, 17]
Generated Node #0,3,3: 24:[35, 17] Operation: 6+11=17
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 24:[6, 24], Operations: ['25-14=11', '35-11=24']
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Exploring Operation: 6*24=144, Resulting Numbers: [144]
144,24 unequal: No Solution
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,24 unequal: No Solution
Exploring Operation: 6+24=30, Resulting Numbers: [30]
30,24 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 #0,3,1
Current State: 24:[11, 29], Operations: ['25-14=11', '35-6=29']
Exploring Operation: 11*29=319, Resulting Numbers: [319]
319,24 unequal: No Solution
Exploring Operation: 29-11=18, Resulting Numbers: [18]
18,24 unequal: No Solution
Exploring Operation: 11+29=40, Resulting Numbers: [40]
40,24 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 #0,3,0
Current State: 24:[35, 5], Operations: ['25-14=11', '11-6=5']
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,24 unequal: No Solution
Exploring Operation: 35*5=175, Resulting Numbers: [175]
175,24 unequal: No Solution
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,24 unequal: No Solution
Exploring Operation: 35+5=40, Resulting Numbers: [40]
40,24 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 #0,3,3
Current State: 24:[35, 17], Operations: ['25-14=11', '6+11=17']
Exploring Operation: 35*17=595, Resulting Numbers: [595]
595,24 unequal: No Solution
Exploring Operation: 35-17=18, Resulting Numbers: [18]
18,24 unequal: No Solution
Exploring Operation: 35+17=52, Resulting Numbers: [52]
52,24 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: 24:[6, 24], Operations: ['35-25=10', '14+10=24']
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,24 unequal: No Solution
Exploring Operation: 6+24=30, Resulting Numbers: [30]
30,24 unequal: No Solution
Exploring Operation: 6*24=144, Resulting Numbers: [144]
144,24 unequal: No Solution
Moving to Node #0,1,3
Current State: 24:[6, 4], Operations: ['35-25=10', '14-10=4']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,24 unequal: No Solution
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[25, 35, 14, 6], Operations: []
Exploring Operation: 35-25=10, Resulting Numbers: [14, 6, 10]
Generated Node #0,1: 24:[14, 6, 10] Operation: 35-25=10
Moving to Node #0,1
Current State: 24:[14, 6, 10], Operations: ['35-25=10']
Exploring Operation: 14-10=4, Resulting Numbers: [6, 4]
Generated Node #0,1,3: 24:[6, 4] Operation: 14-10=4
Moving to Node #0,1,3
Current State: 24:[6, 4], Operations: ['35-25=10', '14-10=4']
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 0.961806 | hs_4 | mult_heuristic |
[
35,
15,
92,
85
] | 57 | [
"35+15=50",
"92-85=7",
"50+7=57"
] | Current State: 57:[35, 15, 92, 85], Operations: []
Exploring Operation: 35+15=50, Resulting Numbers: [92, 85, 50]
Generated Node #2: [92, 85, 50] from Operation: 35+15=50
Current State: 57:[92, 85, 50], Operations: ['35+15=50']
Exploring Operation: 92-85=7, Resulting Numbers: [50, 7]
Generated Node #3: [50, 7] from Operation: 92-85=7
Current State: 57:[50, 7], Operations: ['35+15=50', '92-85=7']
Exploring Operation: 50+7=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[35, 15, 92, 85], Operations: []
Exploring Operation: 92-35=57, Resulting Numbers: [15, 85, 57]
Generated Node #0,0: 57:[15, 85, 57] Operation: 92-35=57
Exploring Operation: 92-85=7, Resulting Numbers: [35, 15, 7]
Generated Node #0,1: 57:[35, 15, 7] Operation: 92-85=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 57:[35, 15, 7], Operations: ['92-85=7']
Exploring Operation: 35/7=5, Resulting Numbers: [15, 5]
Generated Node #0,1,0: 57:[15, 5] Operation: 35/7=5
Exploring Operation: 35-15=20, Resulting Numbers: [7, 20]
Generated Node #0,1,1: 57:[7, 20] Operation: 35-15=20
Moving to Node #0,1,1
Current State: 57:[7, 20], Operations: ['92-85=7', '35-15=20']
Exploring Operation: 7+20=27, Resulting Numbers: [27]
27,57 unequal: No Solution
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,57 unequal: No Solution
Moving to Node #0,1,0
Current State: 57:[15, 5], Operations: ['92-85=7', '35/7=5']
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Exploring Operation: 15+5=20, Resulting Numbers: [20]
20,57 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 #0,0
Current State: 57:[15, 85, 57], Operations: ['92-35=57']
Exploring Operation: 85-57=28, Resulting Numbers: [15, 28]
Generated Node #0,0,0: 57:[15, 28] Operation: 85-57=28
Exploring Operation: 85-15=70, Resulting Numbers: [57, 70]
Generated Node #0,0,1: 57:[57, 70] Operation: 85-15=70
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 57:[15, 28], Operations: ['92-35=57', '85-57=28']
Exploring Operation: 15+28=43, Resulting Numbers: [43]
43,57 unequal: No Solution
Exploring Operation: 28-15=13, Resulting Numbers: [13]
13,57 unequal: No Solution
No 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: 57:[57, 70], Operations: ['92-35=57', '85-15=70']
Exploring Operation: 70-57=13, Resulting Numbers: [13]
13,57 unequal: No Solution
Exploring Operation: 57+70=127, Resulting Numbers: [127]
127,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
66,
42,
9,
28
] | 53 | [
"66*28=1848",
"1848/42=44",
"9+44=53"
] | Current State: 53:[66, 42, 9, 28], Operations: []
Exploring Operation: 66*28=1848, Resulting Numbers: [42, 9, 1848]
Generated Node #2: [42, 9, 1848] from Operation: 66*28=1848
Current State: 53:[42, 9, 1848], Operations: ['66*28=1848']
Exploring Operation: 1848/42=44, Resulting Numbers: [9, 44]
Generated Node #3: [9, 44] from Operation: 1848/42=44
Current State: 53:[9, 44], Operations: ['66*28=1848', '1848/42=44']
Exploring Operation: 9+44=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[66, 42, 9, 28], Operations: []
Exploring Operation: 66-9=57, Resulting Numbers: [42, 28, 57]
Generated Node #0,0: 53:[42, 28, 57] Operation: 66-9=57
Exploring Operation: 42+9=51, Resulting Numbers: [66, 28, 51]
Generated Node #0,1: 53:[66, 28, 51] Operation: 42+9=51
Exploring Operation: 9+28=37, Resulting Numbers: [66, 42, 37]
Generated Node #0,2: 53:[66, 42, 37] Operation: 9+28=37
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[42, 28, 57], Operations: ['66-9=57']
Exploring Operation: 42+28=70, Resulting Numbers: [57, 70]
Generated Node #0,0,0: 53:[57, 70] Operation: 42+28=70
Exploring Operation: 42-28=14, Resulting Numbers: [57, 14]
Generated Node #0,0,1: 53:[57, 14] Operation: 42-28=14
Exploring Operation: 57-28=29, Resulting Numbers: [42, 29]
Generated Node #0,0,2: 53:[42, 29] Operation: 57-28=29
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 53:[57, 70], Operations: ['66-9=57', '42+28=70']
Exploring Operation: 70-57=13, Resulting Numbers: [13]
13,53 unequal: No Solution
Exploring Operation: 57*70=3990, Resulting Numbers: [3990]
3990,53 unequal: No Solution
Exploring Operation: 57+70=127, Resulting Numbers: [127]
127,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 53:[42, 29], Operations: ['66-9=57', '57-28=29']
Exploring Operation: 42+29=71, Resulting Numbers: [71]
71,53 unequal: No Solution
Exploring Operation: 42*29=1218, Resulting Numbers: [1218]
1218,53 unequal: No Solution
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 53:[57, 14], Operations: ['66-9=57', '42-28=14']
Exploring Operation: 57*14=798, Resulting Numbers: [798]
798,53 unequal: No Solution
Exploring Operation: 57+14=71, Resulting Numbers: [71]
71,53 unequal: No Solution
Exploring Operation: 57-14=43, Resulting Numbers: [43]
43,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 53:[66, 28, 51], Operations: ['42+9=51']
Exploring Operation: 28+51=79, Resulting Numbers: [66, 79]
Generated Node #0,1,0: 53:[66, 79] Operation: 28+51=79
Exploring Operation: 66+28=94, Resulting Numbers: [51, 94]
Generated Node #0,1,1: 53:[51, 94] Operation: 66+28=94
Exploring Operation: 66-28=38, Resulting Numbers: [51, 38]
Generated Node #0,1,2: 53:[51, 38] Operation: 66-28=38
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 53:[51, 38], Operations: ['42+9=51', '66-28=38']
Exploring Operation: 51*38=1938, Resulting Numbers: [1938]
1938,53 unequal: No Solution
Exploring Operation: 51-38=13, Resulting Numbers: [13]
13,53 unequal: No Solution
Exploring Operation: 51+38=89, Resulting Numbers: [89]
89,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 53:[66, 79], Operations: ['42+9=51', '28+51=79']
Exploring Operation: 79-66=13, Resulting Numbers: [13]
13,53 unequal: No Solution
Exploring Operation: 66*79=5214, Resulting Numbers: [5214]
5214,53 unequal: No Solution
Exploring Operation: 66+79=145, Resulting Numbers: [145]
145,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 53:[51, 94], Operations: ['42+9=51', '66+28=94']
Exploring Operation: 94-51=43, Resulting Numbers: [43]
43,53 unequal: No Solution
Exploring Operation: 51*94=4794, Resulting Numbers: [4794]
4794,53 unequal: No Solution
Exploring Operation: 51+94=145, Resulting Numbers: [145]
145,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 53:[66, 42, 37], Operations: ['9+28=37']
Exploring Operation: 42+37=79, Resulting Numbers: [66, 79]
Generated Node #0,2,0: 53:[66, 79] Operation: 42+37=79
Exploring Operation: 66-37=29, Resulting Numbers: [42, 29]
Generated Node #0,2,1: 53:[42, 29] Operation: 66-37=29
Exploring Operation: 66-42=24, Resulting Numbers: [37, 24]
Generated Node #0,2,2: 53:[37, 24] Operation: 66-42=24
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 53:[42, 29], Operations: ['9+28=37', '66-37=29']
Exploring Operation: 42+29=71, Resulting Numbers: [71]
71,53 unequal: No Solution
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,53 unequal: No Solution
Exploring Operation: 42*29=1218, Resulting Numbers: [1218]
1218,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 53:[66, 79], Operations: ['9+28=37', '42+37=79']
Exploring Operation: 66+79=145, Resulting Numbers: [145]
145,53 unequal: No Solution
Exploring Operation: 66*79=5214, Resulting Numbers: [5214]
5214,53 unequal: No Solution
Exploring Operation: 79-66=13, Resulting Numbers: [13]
13,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 53:[37, 24], Operations: ['9+28=37', '66-42=24']
Exploring Operation: 37*24=888, Resulting Numbers: [888]
888,53 unequal: No Solution
Exploring Operation: 37-24=13, Resulting Numbers: [13]
13,53 unequal: No Solution
Exploring Operation: 37+24=61, Resulting Numbers: [61]
61,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
2,
79,
59,
19
] | 61 | [
"79-19=60",
"2*60=120",
"120-59=61"
] | Current State: 61:[2, 79, 59, 19], Operations: []
Exploring Operation: 79-19=60, Resulting Numbers: [2, 59, 60]
Generated Node #2: [2, 59, 60] from Operation: 79-19=60
Current State: 61:[2, 59, 60], Operations: ['79-19=60']
Exploring Operation: 2*60=120, Resulting Numbers: [59, 120]
Generated Node #3: [59, 120] from Operation: 2*60=120
Current State: 61:[59, 120], Operations: ['79-19=60', '2*60=120']
Exploring Operation: 120-59=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[2, 79, 59, 19], Operations: []
Exploring Operation: 2*19=38, Resulting Numbers: [79, 59, 38]
Generated Node #0,0: 61:[79, 59, 38] Operation: 2*19=38
Exploring Operation: 2+59=61, Resulting Numbers: [79, 19, 61]
Generated Node #0,1: 61:[79, 19, 61] Operation: 2+59=61
Exploring Operation: 79-2=77, Resulting Numbers: [59, 19, 77]
Generated Node #0,2: 61:[59, 19, 77] Operation: 79-2=77
Moving to Node #0,0
Current State: 61:[79, 59, 38], Operations: ['2*19=38']
Exploring Operation: 79-38=41, Resulting Numbers: [59, 41]
Generated Node #0,0,0: 61:[59, 41] Operation: 79-38=41
Exploring Operation: 59+38=97, Resulting Numbers: [79, 97]
Generated Node #0,0,1: 61:[79, 97] Operation: 59+38=97
Exploring Operation: 79+38=117, Resulting Numbers: [59, 117]
Generated Node #0,0,2: 61:[59, 117] Operation: 79+38=117
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 61:[59, 41], Operations: ['2*19=38', '79-38=41']
Exploring Operation: 59+41=100, Resulting Numbers: [100]
100,61 unequal: No Solution
Exploring Operation: 59-41=18, Resulting Numbers: [18]
18,61 unequal: No Solution
Exploring Operation: 59*41=2419, Resulting Numbers: [2419]
2419,61 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:[79, 97], Operations: ['2*19=38', '59+38=97']
Exploring Operation: 79+97=176, Resulting Numbers: [176]
176,61 unequal: No Solution
Exploring Operation: 97-79=18, Resulting Numbers: [18]
18,61 unequal: No Solution
Exploring Operation: 79*97=7663, Resulting Numbers: [7663]
7663,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 61:[59, 117], Operations: ['2*19=38', '79+38=117']
Exploring Operation: 59*117=6903, Resulting Numbers: [6903]
6903,61 unequal: No Solution
Exploring Operation: 117-59=58, Resulting Numbers: [58]
58,61 unequal: No Solution
Exploring Operation: 59+117=176, Resulting Numbers: [176]
176,61 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:[79, 19, 61], Operations: ['2+59=61']
Exploring Operation: 79+19=98, Resulting Numbers: [61, 98]
Generated Node #0,1,0: 61:[61, 98] Operation: 79+19=98
Exploring Operation: 19+61=80, Resulting Numbers: [79, 80]
Generated Node #0,1,1: 61:[79, 80] Operation: 19+61=80
Exploring Operation: 79-19=60, Resulting Numbers: [61, 60]
Generated Node #0,1,2: 61:[61, 60] Operation: 79-19=60
Moving to Node #0,2
Current State: 61:[59, 19, 77], Operations: ['79-2=77']
Exploring Operation: 59+19=78, Resulting Numbers: [77, 78]
Generated Node #0,2,0: 61:[77, 78] Operation: 59+19=78
Exploring Operation: 59-19=40, Resulting Numbers: [77, 40]
Generated Node #0,2,1: 61:[77, 40] Operation: 59-19=40
Exploring Operation: 77-19=58, Resulting Numbers: [59, 58]
Generated Node #0,2,2: 61:[59, 58] Operation: 77-19=58
Moving to Node #0,1,2
Current State: 61:[61, 60], Operations: ['2+59=61', '79-19=60']
Exploring Operation: 61-60=1, Resulting Numbers: [1]
1,61 unequal: No Solution
Exploring Operation: 61*60=3660, Resulting Numbers: [3660]
3660,61 unequal: No Solution
Exploring Operation: 61+60=121, Resulting Numbers: [121]
121,61 unequal: No Solution
Moving to Node #0,2,2
Current State: 61:[59, 58], Operations: ['79-2=77', '77-19=58']
Exploring Operation: 59+58=117, Resulting Numbers: [117]
117,61 unequal: No Solution
Exploring Operation: 59-58=1, Resulting Numbers: [1]
1,61 unequal: No Solution
Exploring Operation: 59*58=3422, Resulting Numbers: [3422]
3422,61 unequal: No Solution
Moving to Node #0,2,0
Current State: 61:[77, 78], Operations: ['79-2=77', '59+19=78']
Exploring Operation: 78-77=1, Resulting Numbers: [1]
1,61 unequal: No Solution
Exploring Operation: 77*78=6006, Resulting Numbers: [6006]
6006,61 unequal: No Solution
Exploring Operation: 77+78=155, Resulting Numbers: [155]
155,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[79, 80], Operations: ['2+59=61', '19+61=80']
Exploring Operation: 80-79=1, Resulting Numbers: [1]
1,61 unequal: No Solution
Exploring Operation: 79*80=6320, Resulting Numbers: [6320]
6320,61 unequal: No Solution
Exploring Operation: 79+80=159, Resulting Numbers: [159]
159,61 unequal: No Solution
Moving to Node #0,1,0
Current State: 61:[61, 98], Operations: ['2+59=61', '79+19=98']
Exploring Operation: 61*98=5978, Resulting Numbers: [5978]
5978,61 unequal: No Solution
Exploring Operation: 98-61=37, Resulting Numbers: [37]
37,61 unequal: No Solution
Exploring Operation: 61+98=159, Resulting Numbers: [159]
159,61 unequal: No Solution
Moving to Node #0,2,1
Current State: 61:[77, 40], Operations: ['79-2=77', '59-19=40']
Exploring Operation: 77-40=37, Resulting Numbers: [37]
37,61 unequal: No Solution
Exploring Operation: 77+40=117, Resulting Numbers: [117]
117,61 unequal: No Solution
Exploring Operation: 77*40=3080, Resulting Numbers: [3080]
3080,61 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
13,
3,
45,
48
] | 44 | [
"45+48=93",
"93/3=31",
"13+31=44"
] | Current State: 44:[13, 3, 45, 48], Operations: []
Exploring Operation: 45+48=93, Resulting Numbers: [13, 3, 93]
Generated Node #2: [13, 3, 93] from Operation: 45+48=93
Current State: 44:[13, 3, 93], Operations: ['45+48=93']
Exploring Operation: 93/3=31, Resulting Numbers: [13, 31]
Generated Node #3: [13, 31] from Operation: 93/3=31
Current State: 44:[13, 31], Operations: ['45+48=93', '93/3=31']
Exploring Operation: 13+31=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[13, 3, 45, 48], Operations: []
Exploring Operation: 48-3=45, Resulting Numbers: [13, 45, 45]
Generated Node #0,0: 44:[13, 45, 45] Operation: 48-3=45
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[13, 45, 45], Operations: ['48-3=45']
Exploring Operation: 45/45=1, Resulting Numbers: [13, 1]
Generated Node #0,0,0: 44:[13, 1] Operation: 45/45=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 44:[13, 1], Operations: ['48-3=45', '45/45=1']
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,44 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 |
[
68,
91,
60,
85
] | 14 | [
"68+91=159",
"60+85=145",
"159-145=14"
] | Current State: 14:[68, 91, 60, 85], Operations: []
Exploring Operation: 68+91=159, Resulting Numbers: [60, 85, 159]
Generated Node #2: [60, 85, 159] from Operation: 68+91=159
Current State: 14:[60, 85, 159], Operations: ['68+91=159']
Exploring Operation: 60+85=145, Resulting Numbers: [159, 145]
Generated Node #3: [159, 145] from Operation: 60+85=145
Current State: 14:[159, 145], Operations: ['68+91=159', '60+85=145']
Exploring Operation: 159-145=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[68, 91, 60, 85], Operations: []
Exploring Operation: 91-68=23, Resulting Numbers: [60, 85, 23]
Generated Node #0,0: 14:[60, 85, 23] Operation: 91-68=23
Exploring Operation: 91-85=6, Resulting Numbers: [68, 60, 6]
Generated Node #0,1: 14:[68, 60, 6] Operation: 91-85=6
Exploring Operation: 85-68=17, Resulting Numbers: [91, 60, 17]
Generated Node #0,2: 14:[91, 60, 17] Operation: 85-68=17
Exploring Operation: 85-60=25, Resulting Numbers: [68, 91, 25]
Generated Node #0,3: 14:[68, 91, 25] Operation: 85-60=25
Exploring Operation: 91-60=31, Resulting Numbers: [68, 85, 31]
Generated Node #0,4: 14:[68, 85, 31] Operation: 91-60=31
Moving to Node #0,1
Current State: 14:[68, 60, 6], Operations: ['91-85=6']
Exploring Operation: 60/6=10, Resulting Numbers: [68, 10]
Generated Node #0,1,0: 14:[68, 10] Operation: 60/6=10
Exploring Operation: 68-6=62, Resulting Numbers: [60, 62]
Generated Node #0,1,1: 14:[60, 62] Operation: 68-6=62
Exploring Operation: 68-60=8, Resulting Numbers: [6, 8]
Generated Node #0,1,2: 14:[6, 8] Operation: 68-60=8
Exploring Operation: 68+6=74, Resulting Numbers: [60, 74]
Generated Node #0,1,3: 14:[60, 74] Operation: 68+6=74
Exploring Operation: 60-6=54, Resulting Numbers: [68, 54]
Generated Node #0,1,4: 14:[68, 54] Operation: 60-6=54
Moving to Node #0,2
Current State: 14:[91, 60, 17], Operations: ['85-68=17']
Exploring Operation: 91-60=31, Resulting Numbers: [17, 31]
Generated Node #0,2,0: 14:[17, 31] Operation: 91-60=31
Exploring Operation: 91+60=151, Resulting Numbers: [17, 151]
Generated Node #0,2,1: 14:[17, 151] Operation: 91+60=151
Exploring Operation: 91-17=74, Resulting Numbers: [60, 74]
Generated Node #0,2,2: 14:[60, 74] Operation: 91-17=74
Exploring Operation: 91+17=108, Resulting Numbers: [60, 108]
Generated Node #0,2,3: 14:[60, 108] Operation: 91+17=108
Exploring Operation: 60-17=43, Resulting Numbers: [91, 43]
Generated Node #0,2,4: 14:[91, 43] Operation: 60-17=43
Moving to Node #0,0
Current State: 14:[60, 85, 23], Operations: ['91-68=23']
Exploring Operation: 60+23=83, Resulting Numbers: [85, 83]
Generated Node #0,0,0: 14:[85, 83] Operation: 60+23=83
Exploring Operation: 85-23=62, Resulting Numbers: [60, 62]
Generated Node #0,0,1: 14:[60, 62] Operation: 85-23=62
Exploring Operation: 60-23=37, Resulting Numbers: [85, 37]
Generated Node #0,0,2: 14:[85, 37] Operation: 60-23=37
Exploring Operation: 60+85=145, Resulting Numbers: [23, 145]
Generated Node #0,0,3: 14:[23, 145] Operation: 60+85=145
Exploring Operation: 85-60=25, Resulting Numbers: [23, 25]
Generated Node #0,0,4: 14:[23, 25] Operation: 85-60=25
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 14:[23, 25], Operations: ['91-68=23', '85-60=25']
Exploring Operation: 25-23=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Exploring Operation: 23*25=575, Resulting Numbers: [575]
575,14 unequal: No Solution
Exploring Operation: 23+25=48, Resulting Numbers: [48]
48,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 14:[60, 62], Operations: ['91-68=23', '85-23=62']
Exploring Operation: 60+62=122, Resulting Numbers: [122]
122,14 unequal: No Solution
Exploring Operation: 60*62=3720, Resulting Numbers: [3720]
3720,14 unequal: No Solution
Exploring Operation: 62-60=2, Resulting Numbers: [2]
2,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 14:[85, 37], Operations: ['91-68=23', '60-23=37']
Exploring Operation: 85+37=122, Resulting Numbers: [122]
122,14 unequal: No Solution
Exploring Operation: 85*37=3145, Resulting Numbers: [3145]
3145,14 unequal: No Solution
Exploring Operation: 85-37=48, Resulting Numbers: [48]
48,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 14:[85, 83], Operations: ['91-68=23', '60+23=83']
Exploring Operation: 85-83=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Exploring Operation: 85*83=7055, Resulting Numbers: [7055]
7055,14 unequal: No Solution
Exploring Operation: 85+83=168, Resulting Numbers: [168]
168,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 14:[23, 145], Operations: ['91-68=23', '60+85=145']
Exploring Operation: 145-23=122, Resulting Numbers: [122]
122,14 unequal: No Solution
Exploring Operation: 23+145=168, Resulting Numbers: [168]
168,14 unequal: No Solution
Exploring Operation: 23*145=3335, Resulting Numbers: [3335]
3335,14 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: 14:[68, 91, 25], Operations: ['85-60=25']
Exploring Operation: 68+25=93, Resulting Numbers: [91, 93]
Generated Node #0,3,0: 14:[91, 93] Operation: 68+25=93
Exploring Operation: 68+91=159, Resulting Numbers: [25, 159]
Generated Node #0,3,1: 14:[25, 159] Operation: 68+91=159
Exploring Operation: 91-25=66, Resulting Numbers: [68, 66]
Generated Node #0,3,2: 14:[68, 66] Operation: 91-25=66
Exploring Operation: 91-68=23, Resulting Numbers: [25, 23]
Generated Node #0,3,3: 14:[25, 23] Operation: 91-68=23
Exploring Operation: 68-25=43, Resulting Numbers: [91, 43]
Generated Node #0,3,4: 14:[91, 43] Operation: 68-25=43
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 14:[25, 23], Operations: ['85-60=25', '91-68=23']
Exploring Operation: 25-23=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Exploring Operation: 25*23=575, Resulting Numbers: [575]
575,14 unequal: No Solution
Exploring Operation: 25+23=48, Resulting Numbers: [48]
48,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 14:[68, 66], Operations: ['85-60=25', '91-25=66']
Exploring Operation: 68*66=4488, Resulting Numbers: [4488]
4488,14 unequal: No Solution
Exploring Operation: 68-66=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Exploring Operation: 68+66=134, Resulting Numbers: [134]
134,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 14:[91, 43], Operations: ['85-60=25', '68-25=43']
Exploring Operation: 91+43=134, Resulting Numbers: [134]
134,14 unequal: No Solution
Exploring Operation: 91*43=3913, Resulting Numbers: [3913]
3913,14 unequal: No Solution
Exploring Operation: 91-43=48, Resulting Numbers: [48]
48,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 14:[91, 93], Operations: ['85-60=25', '68+25=93']
Exploring Operation: 91*93=8463, Resulting Numbers: [8463]
8463,14 unequal: No Solution
Exploring Operation: 91+93=184, Resulting Numbers: [184]
184,14 unequal: No Solution
Exploring Operation: 93-91=2, Resulting Numbers: [2]
2,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 14:[25, 159], Operations: ['85-60=25', '68+91=159']
Exploring Operation: 159-25=134, Resulting Numbers: [134]
134,14 unequal: No Solution
Exploring Operation: 25+159=184, Resulting Numbers: [184]
184,14 unequal: No Solution
Exploring Operation: 25*159=3975, Resulting Numbers: [3975]
3975,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 14:[68, 85, 31], Operations: ['91-60=31']
Exploring Operation: 68+85=153, Resulting Numbers: [31, 153]
Generated Node #0,4,0: 14:[31, 153] Operation: 68+85=153
Exploring Operation: 68-31=37, Resulting Numbers: [85, 37]
Generated Node #0,4,1: 14:[85, 37] Operation: 68-31=37
Exploring Operation: 68+31=99, Resulting Numbers: [85, 99]
Generated Node #0,4,2: 14:[85, 99] Operation: 68+31=99
Exploring Operation: 85-31=54, Resulting Numbers: [68, 54]
Generated Node #0,4,3: 14:[68, 54] Operation: 85-31=54
Exploring Operation: 85-68=17, Resulting Numbers: [31, 17]
Generated Node #0,4,4: 14:[31, 17] Operation: 85-68=17
Moving to Node #0,1,2
Current State: 14:[6, 8], Operations: ['91-85=6', '68-60=8']
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,14 unequal: No Solution
Exploring Operation: 6+8=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[68, 91, 60, 85], Operations: []
Exploring Operation: 91-85=6, Resulting Numbers: [68, 60, 6]
Generated Node #0,1: 14:[68, 60, 6] Operation: 91-85=6
Moving to Node #0,1
Current State: 14:[68, 60, 6], Operations: ['91-85=6']
Exploring Operation: 68-60=8, Resulting Numbers: [6, 8]
Generated Node #0,1,2: 14:[6, 8] Operation: 68-60=8
Moving to Node #0,1,2
Current State: 14:[6, 8], Operations: ['91-85=6', '68-60=8']
Exploring Operation: 6+8=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 0.94184 | hs_5 | mult_heuristic |
[
94,
14,
85,
19
] | 87 | [
"94+85=179",
"14*19=266",
"266-179=87"
] | Current State: 87:[94, 14, 85, 19], Operations: []
Exploring Operation: 94+85=179, Resulting Numbers: [14, 19, 179]
Generated Node #2: [14, 19, 179] from Operation: 94+85=179
Current State: 87:[14, 19, 179], Operations: ['94+85=179']
Exploring Operation: 14*19=266, Resulting Numbers: [179, 266]
Generated Node #3: [179, 266] from Operation: 14*19=266
Current State: 87:[179, 266], Operations: ['94+85=179', '14*19=266']
Exploring Operation: 266-179=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[94, 14, 85, 19], Operations: []
Exploring Operation: 19-14=5, Resulting Numbers: [94, 85, 5]
Generated Node #0,0: 87:[94, 85, 5] Operation: 19-14=5
Exploring Operation: 94-19=75, Resulting Numbers: [14, 85, 75]
Generated Node #0,1: 87:[14, 85, 75] Operation: 94-19=75
Exploring Operation: 14+19=33, Resulting Numbers: [94, 85, 33]
Generated Node #0,2: 87:[94, 85, 33] Operation: 14+19=33
Exploring Operation: 94-14=80, Resulting Numbers: [85, 19, 80]
Generated Node #0,3: 87:[85, 19, 80] Operation: 94-14=80
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[94, 85, 5], Operations: ['19-14=5']
Exploring Operation: 94-5=89, Resulting Numbers: [85, 89]
Generated Node #0,0,0: 87:[85, 89] Operation: 94-5=89
Exploring Operation: 85+5=90, Resulting Numbers: [94, 90]
Generated Node #0,0,1: 87:[94, 90] Operation: 85+5=90
Exploring Operation: 94-85=9, Resulting Numbers: [5, 9]
Generated Node #0,0,2: 87:[5, 9] Operation: 94-85=9
Exploring Operation: 94+5=99, Resulting Numbers: [85, 99]
Generated Node #0,0,3: 87:[85, 99] Operation: 94+5=99
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 87:[85, 89], Operations: ['19-14=5', '94-5=89']
Exploring Operation: 85*89=7565, Resulting Numbers: [7565]
7565,87 unequal: No Solution
Exploring Operation: 85+89=174, Resulting Numbers: [174]
174,87 unequal: No Solution
Exploring Operation: 89-85=4, Resulting Numbers: [4]
4,87 unequal: No Solution
No 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: 87:[5, 9], Operations: ['19-14=5', '94-85=9']
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,87 unequal: No Solution
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,87 unequal: No Solution
No 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: 87:[94, 90], Operations: ['19-14=5', '85+5=90']
Exploring Operation: 94-90=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 94*90=8460, Resulting Numbers: [8460]
8460,87 unequal: No Solution
Exploring Operation: 94+90=184, Resulting Numbers: [184]
184,87 unequal: No Solution
No 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: 87:[85, 99], Operations: ['19-14=5', '94+5=99']
Exploring Operation: 99-85=14, Resulting Numbers: [14]
14,87 unequal: No Solution
Exploring Operation: 85*99=8415, Resulting Numbers: [8415]
8415,87 unequal: No Solution
Exploring Operation: 85+99=184, Resulting Numbers: [184]
184,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 87:[94, 85, 33], Operations: ['14+19=33']
Exploring Operation: 85-33=52, Resulting Numbers: [94, 52]
Generated Node #0,2,0: 87:[94, 52] Operation: 85-33=52
Exploring Operation: 85+33=118, Resulting Numbers: [94, 118]
Generated Node #0,2,1: 87:[94, 118] Operation: 85+33=118
Exploring Operation: 94-33=61, Resulting Numbers: [85, 61]
Generated Node #0,2,2: 87:[85, 61] Operation: 94-33=61
Exploring Operation: 94-85=9, Resulting Numbers: [33, 9]
Generated Node #0,2,3: 87:[33, 9] Operation: 94-85=9
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 87:[33, 9], Operations: ['14+19=33', '94-85=9']
Exploring Operation: 33*9=297, Resulting Numbers: [297]
297,87 unequal: No Solution
Exploring Operation: 33+9=42, Resulting Numbers: [42]
42,87 unequal: No Solution
Exploring Operation: 33-9=24, Resulting Numbers: [24]
24,87 unequal: No Solution
No 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: 87:[85, 61], Operations: ['14+19=33', '94-33=61']
Exploring Operation: 85-61=24, Resulting Numbers: [24]
24,87 unequal: No Solution
Exploring Operation: 85*61=5185, Resulting Numbers: [5185]
5185,87 unequal: No Solution
Exploring Operation: 85+61=146, Resulting Numbers: [146]
146,87 unequal: No Solution
No 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: 87:[94, 52], Operations: ['14+19=33', '85-33=52']
Exploring Operation: 94*52=4888, Resulting Numbers: [4888]
4888,87 unequal: No Solution
Exploring Operation: 94+52=146, Resulting Numbers: [146]
146,87 unequal: No Solution
Exploring Operation: 94-52=42, Resulting Numbers: [42]
42,87 unequal: No Solution
No 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: 87:[94, 118], Operations: ['14+19=33', '85+33=118']
Exploring Operation: 94*118=11092, Resulting Numbers: [11092]
11092,87 unequal: No Solution
Exploring Operation: 94+118=212, Resulting Numbers: [212]
212,87 unequal: No Solution
Exploring Operation: 118-94=24, Resulting Numbers: [24]
24,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 87:[85, 19, 80], Operations: ['94-14=80']
Exploring Operation: 85-19=66, Resulting Numbers: [80, 66]
Generated Node #0,3,0: 87:[80, 66] Operation: 85-19=66
Exploring Operation: 85+19=104, Resulting Numbers: [80, 104]
Generated Node #0,3,1: 87:[80, 104] Operation: 85+19=104
Exploring Operation: 85-80=5, Resulting Numbers: [19, 5]
Generated Node #0,3,2: 87:[19, 5] Operation: 85-80=5
Exploring Operation: 19+80=99, Resulting Numbers: [85, 99]
Generated Node #0,3,3: 87:[85, 99] Operation: 19+80=99
Moving to Node #0,3,2
Current State: 87:[19, 5], Operations: ['94-14=80', '85-80=5']
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,87 unequal: No Solution
Exploring Operation: 19+5=24, Resulting Numbers: [24]
24,87 unequal: No Solution
Exploring Operation: 19*5=95, Resulting Numbers: [95]
95,87 unequal: No Solution
Moving to Node #0,3,3
Current State: 87:[85, 99], Operations: ['94-14=80', '19+80=99']
Exploring Operation: 85*99=8415, Resulting Numbers: [8415]
8415,87 unequal: No Solution
Exploring Operation: 99-85=14, Resulting Numbers: [14]
14,87 unequal: No Solution
Exploring Operation: 85+99=184, Resulting Numbers: [184]
184,87 unequal: No Solution
Moving to Node #0,3,1
Current State: 87:[80, 104], Operations: ['94-14=80', '85+19=104']
Exploring Operation: 80*104=8320, Resulting Numbers: [8320]
8320,87 unequal: No Solution
Exploring Operation: 80+104=184, Resulting Numbers: [184]
184,87 unequal: No Solution
Exploring Operation: 104-80=24, Resulting Numbers: [24]
24,87 unequal: No Solution
Moving to Node #0,3,0
Current State: 87:[80, 66], Operations: ['94-14=80', '85-19=66']
Exploring Operation: 80*66=5280, Resulting Numbers: [5280]
5280,87 unequal: No Solution
Exploring Operation: 80+66=146, Resulting Numbers: [146]
146,87 unequal: No Solution
Exploring Operation: 80-66=14, Resulting Numbers: [14]
14,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[14, 85, 75], Operations: ['94-19=75']
Exploring Operation: 14+75=89, Resulting Numbers: [85, 89]
Generated Node #0,1,0: 87:[85, 89] Operation: 14+75=89
Exploring Operation: 14+85=99, Resulting Numbers: [75, 99]
Generated Node #0,1,1: 87:[75, 99] Operation: 14+85=99
Exploring Operation: 85-14=71, Resulting Numbers: [75, 71]
Generated Node #0,1,2: 87:[75, 71] Operation: 85-14=71
Exploring Operation: 85-75=10, Resulting Numbers: [14, 10]
Generated Node #0,1,3: 87:[14, 10] Operation: 85-75=10
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 87:[85, 89], Operations: ['94-19=75', '14+75=89']
Exploring Operation: 85*89=7565, Resulting Numbers: [7565]
7565,87 unequal: No Solution
Exploring Operation: 85+89=174, Resulting Numbers: [174]
174,87 unequal: No Solution
Exploring Operation: 89-85=4, Resulting Numbers: [4]
4,87 unequal: No Solution
No 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: 87:[14, 10], Operations: ['94-19=75', '85-75=10']
Exploring Operation: 14*10=140, Resulting Numbers: [140]
140,87 unequal: No Solution
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 14+10=24, Resulting Numbers: [24]
24,87 unequal: No Solution
No 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: 87:[75, 99], Operations: ['94-19=75', '14+85=99']
Exploring Operation: 99-75=24, Resulting Numbers: [24]
24,87 unequal: No Solution
Exploring Operation: 75*99=7425, Resulting Numbers: [7425]
7425,87 unequal: No Solution
Exploring Operation: 75+99=174, Resulting Numbers: [174]
174,87 unequal: No Solution
No 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: 87:[75, 71], Operations: ['94-19=75', '85-14=71']
Exploring Operation: 75*71=5325, Resulting Numbers: [5325]
5325,87 unequal: No Solution
Exploring Operation: 75-71=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 75+71=146, Resulting Numbers: [146]
146,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
56,
70,
30,
63
] | 45 | [
"70-30=40",
"63*40=2520",
"2520/56=45"
] | Current State: 45:[56, 70, 30, 63], Operations: []
Exploring Operation: 70-30=40, Resulting Numbers: [56, 63, 40]
Generated Node #2: [56, 63, 40] from Operation: 70-30=40
Current State: 45:[56, 63, 40], Operations: ['70-30=40']
Exploring Operation: 63*40=2520, Resulting Numbers: [56, 2520]
Generated Node #3: [56, 2520] from Operation: 63*40=2520
Current State: 45:[56, 2520], Operations: ['70-30=40', '63*40=2520']
Exploring Operation: 2520/56=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[56, 70, 30, 63], Operations: []
Exploring Operation: 70-63=7, Resulting Numbers: [56, 30, 7]
Generated Node #0,0: 45:[56, 30, 7] Operation: 70-63=7
Exploring Operation: 70-56=14, Resulting Numbers: [30, 63, 14]
Generated Node #0,1: 45:[30, 63, 14] Operation: 70-56=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 45:[56, 30, 7], Operations: ['70-63=7']
Exploring Operation: 56-30=26, Resulting Numbers: [7, 26]
Generated Node #0,0,0: 45:[7, 26] Operation: 56-30=26
Exploring Operation: 56/7=8, Resulting Numbers: [30, 8]
Generated Node #0,0,1: 45:[30, 8] Operation: 56/7=8
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 45:[7, 26], Operations: ['70-63=7', '56-30=26']
Exploring Operation: 7+26=33, Resulting Numbers: [33]
33,45 unequal: No Solution
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 45:[30, 8], Operations: ['70-63=7', '56/7=8']
Exploring Operation: 30+8=38, Resulting Numbers: [38]
38,45 unequal: No Solution
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 45:[30, 63, 14], Operations: ['70-56=14']
Exploring Operation: 63-30=33, Resulting Numbers: [14, 33]
Generated Node #0,1,0: 45:[14, 33] Operation: 63-30=33
Exploring Operation: 30+14=44, Resulting Numbers: [63, 44]
Generated Node #0,1,1: 45:[63, 44] Operation: 30+14=44
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 45:[14, 33], Operations: ['70-56=14', '63-30=33']
Exploring Operation: 14+33=47, Resulting Numbers: [47]
47,45 unequal: No Solution
Exploring Operation: 33-14=19, Resulting Numbers: [19]
19,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 45:[63, 44], Operations: ['70-56=14', '30+14=44']
Exploring Operation: 63+44=107, Resulting Numbers: [107]
107,45 unequal: No Solution
Exploring Operation: 63-44=19, Resulting Numbers: [19]
19,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
33,
98,
17,
27
] | 87 | [
"33+98=131",
"17+27=44",
"131-44=87"
] | Current State: 87:[33, 98, 17, 27], Operations: []
Exploring Operation: 33+98=131, Resulting Numbers: [17, 27, 131]
Generated Node #2: [17, 27, 131] from Operation: 33+98=131
Current State: 87:[17, 27, 131], Operations: ['33+98=131']
Exploring Operation: 17+27=44, Resulting Numbers: [131, 44]
Generated Node #3: [131, 44] from Operation: 17+27=44
Current State: 87:[131, 44], Operations: ['33+98=131', '17+27=44']
Exploring Operation: 131-44=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[33, 98, 17, 27], Operations: []
Exploring Operation: 17+27=44, Resulting Numbers: [33, 98, 44]
Generated Node #0,0: 87:[33, 98, 44] Operation: 17+27=44
Exploring Operation: 33-27=6, Resulting Numbers: [98, 17, 6]
Generated Node #0,1: 87:[98, 17, 6] Operation: 33-27=6
Exploring Operation: 98-17=81, Resulting Numbers: [33, 27, 81]
Generated Node #0,2: 87:[33, 27, 81] Operation: 98-17=81
Exploring Operation: 33-17=16, Resulting Numbers: [98, 27, 16]
Generated Node #0,3: 87:[98, 27, 16] Operation: 33-17=16
Exploring Operation: 27-17=10, Resulting Numbers: [33, 98, 10]
Generated Node #0,4: 87:[33, 98, 10] Operation: 27-17=10
Moving to Node #0,2
Current State: 87:[33, 27, 81], Operations: ['98-17=81']
Exploring Operation: 27+81=108, Resulting Numbers: [33, 108]
Generated Node #0,2,0: 87:[33, 108] Operation: 27+81=108
Exploring Operation: 81/27=3, Resulting Numbers: [33, 3]
Generated Node #0,2,1: 87:[33, 3] Operation: 81/27=3
Exploring Operation: 81-33=48, Resulting Numbers: [27, 48]
Generated Node #0,2,2: 87:[27, 48] Operation: 81-33=48
Exploring Operation: 33+81=114, Resulting Numbers: [27, 114]
Generated Node #0,2,3: 87:[27, 114] Operation: 33+81=114
Exploring Operation: 33-27=6, Resulting Numbers: [81, 6]
Generated Node #0,2,4: 87:[81, 6] Operation: 33-27=6
Moving to Node #0,4
Current State: 87:[33, 98, 10], Operations: ['27-17=10']
Exploring Operation: 98-10=88, Resulting Numbers: [33, 88]
Generated Node #0,4,0: 87:[33, 88] Operation: 98-10=88
Exploring Operation: 98-33=65, Resulting Numbers: [10, 65]
Generated Node #0,4,1: 87:[10, 65] Operation: 98-33=65
Exploring Operation: 98+10=108, Resulting Numbers: [33, 108]
Generated Node #0,4,2: 87:[33, 108] Operation: 98+10=108
Exploring Operation: 33+10=43, Resulting Numbers: [98, 43]
Generated Node #0,4,3: 87:[98, 43] Operation: 33+10=43
Exploring Operation: 33-10=23, Resulting Numbers: [98, 23]
Generated Node #0,4,4: 87:[98, 23] Operation: 33-10=23
Moving to Node #0,1
Current State: 87:[98, 17, 6], Operations: ['33-27=6']
Exploring Operation: 17-6=11, Resulting Numbers: [98, 11]
Generated Node #0,1,0: 87:[98, 11] Operation: 17-6=11
Exploring Operation: 17*6=102, Resulting Numbers: [98, 102]
Generated Node #0,1,1: 87:[98, 102] Operation: 17*6=102
Exploring Operation: 98-17=81, Resulting Numbers: [6, 81]
Generated Node #0,1,2: 87:[6, 81] Operation: 98-17=81
Exploring Operation: 17+6=23, Resulting Numbers: [98, 23]
Generated Node #0,1,3: 87:[98, 23] Operation: 17+6=23
Exploring Operation: 98-6=92, Resulting Numbers: [17, 92]
Generated Node #0,1,4: 87:[17, 92] Operation: 98-6=92
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 87:[6, 81], Operations: ['33-27=6', '98-17=81']
Exploring Operation: 81-6=75, Resulting Numbers: [75]
75,87 unequal: No Solution
Exploring Operation: 6*81=486, Resulting Numbers: [486]
486,87 unequal: No Solution
Exploring Operation: 6+81=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[33, 98, 17, 27], Operations: []
Exploring Operation: 33-27=6, Resulting Numbers: [98, 17, 6]
Generated Node #0,1: 87:[98, 17, 6] Operation: 33-27=6
Moving to Node #0,1
Current State: 87:[98, 17, 6], Operations: ['33-27=6']
Exploring Operation: 98-17=81, Resulting Numbers: [6, 81]
Generated Node #0,1,2: 87:[6, 81] Operation: 98-17=81
Moving to Node #0,1,2
Current State: 87:[6, 81], Operations: ['33-27=6', '98-17=81']
Exploring Operation: 6+81=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_5 | mult_heuristic |
[
49,
93,
6,
25
] | 52 | [
"6+25=31",
"93/31=3",
"49+3=52"
] | Current State: 52:[49, 93, 6, 25], Operations: []
Exploring Operation: 6+25=31, Resulting Numbers: [49, 93, 31]
Generated Node #2: [49, 93, 31] from Operation: 6+25=31
Current State: 52:[49, 93, 31], Operations: ['6+25=31']
Exploring Operation: 93/31=3, Resulting Numbers: [49, 3]
Generated Node #3: [49, 3] from Operation: 93/31=3
Current State: 52:[49, 3], Operations: ['6+25=31', '93/31=3']
Exploring Operation: 49+3=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[49, 93, 6, 25], Operations: []
Exploring Operation: 93-25=68, Resulting Numbers: [49, 6, 68]
Generated Node #0,0: 52:[49, 6, 68] Operation: 93-25=68
Exploring Operation: 93-49=44, Resulting Numbers: [6, 25, 44]
Generated Node #0,1: 52:[6, 25, 44] Operation: 93-49=44
Start Sub Search at level 1: Moving to Node #0,1
Current State: 52:[6, 25, 44], Operations: ['93-49=44']
Exploring Operation: 6+44=50, Resulting Numbers: [25, 50]
Generated Node #0,1,0: 52:[25, 50] Operation: 6+44=50
Exploring Operation: 44-25=19, Resulting Numbers: [6, 19]
Generated Node #0,1,1: 52:[6, 19] Operation: 44-25=19
Moving to Node #0,1,0
Current State: 52:[25, 50], Operations: ['93-49=44', '6+44=50']
Exploring Operation: 50-25=25, Resulting Numbers: [25]
25,52 unequal: No Solution
Exploring Operation: 50/25=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[6, 19], Operations: ['93-49=44', '44-25=19']
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,52 unequal: No Solution
Exploring Operation: 6+19=25, Resulting Numbers: [25]
25,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[49, 6, 68], Operations: ['93-25=68']
Exploring Operation: 68-49=19, Resulting Numbers: [6, 19]
Generated Node #0,0,0: 52:[6, 19] Operation: 68-49=19
Exploring Operation: 68-6=62, Resulting Numbers: [49, 62]
Generated Node #0,0,1: 52:[49, 62] Operation: 68-6=62
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 52:[6, 19], Operations: ['93-25=68', '68-49=19']
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,52 unequal: No Solution
Exploring Operation: 6+19=25, Resulting Numbers: [25]
25,52 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:[49, 62], Operations: ['93-25=68', '68-6=62']
Exploring Operation: 49+62=111, Resulting Numbers: [111]
111,52 unequal: No Solution
Exploring Operation: 62-49=13, Resulting Numbers: [13]
13,52 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_2 | sum_heuristic |
[
5,
60,
28,
14
] | 66 | [
"5*28=140",
"60+14=74",
"140-74=66"
] | Current State: 66:[5, 60, 28, 14], Operations: []
Exploring Operation: 5*28=140, Resulting Numbers: [60, 14, 140]
Generated Node #2: [60, 14, 140] from Operation: 5*28=140
Current State: 66:[60, 14, 140], Operations: ['5*28=140']
Exploring Operation: 60+14=74, Resulting Numbers: [140, 74]
Generated Node #3: [140, 74] from Operation: 60+14=74
Current State: 66:[140, 74], Operations: ['5*28=140', '60+14=74']
Exploring Operation: 140-74=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[5, 60, 28, 14], Operations: []
Exploring Operation: 28/14=2, Resulting Numbers: [5, 60, 2]
Generated Node #0,0: 66:[5, 60, 2] Operation: 28/14=2
Exploring Operation: 60-28=32, Resulting Numbers: [5, 14, 32]
Generated Node #0,1: 66:[5, 14, 32] Operation: 60-28=32
Start Sub Search at level 1: Moving to Node #0,1
Current State: 66:[5, 14, 32], Operations: ['60-28=32']
Exploring Operation: 5+14=19, Resulting Numbers: [32, 19]
Generated Node #0,1,0: 66:[32, 19] Operation: 5+14=19
Exploring Operation: 14-5=9, Resulting Numbers: [32, 9]
Generated Node #0,1,1: 66:[32, 9] Operation: 14-5=9
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 66:[32, 9], Operations: ['60-28=32', '14-5=9']
Exploring Operation: 32+9=41, Resulting Numbers: [41]
41,66 unequal: No Solution
Exploring Operation: 32-9=23, Resulting Numbers: [23]
23,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 66:[32, 19], Operations: ['60-28=32', '5+14=19']
Exploring Operation: 32-19=13, Resulting Numbers: [13]
13,66 unequal: No Solution
Exploring Operation: 32+19=51, Resulting Numbers: [51]
51,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[5, 60, 2], Operations: ['28/14=2']
Exploring Operation: 5+60=65, Resulting Numbers: [2, 65]
Generated Node #0,0,0: 66:[2, 65] Operation: 5+60=65
Exploring Operation: 60/5=12, Resulting Numbers: [2, 12]
Generated Node #0,0,1: 66:[2, 12] Operation: 60/5=12
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 66:[2, 65], Operations: ['28/14=2', '5+60=65']
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,66 unequal: No Solution
Exploring Operation: 2+65=67, Resulting Numbers: [67]
67,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 66:[2, 12], Operations: ['28/14=2', '60/5=12']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,66 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
46,
49,
4,
67
] | 83 | [
"46+67=113",
"49*4=196",
"196-113=83"
] | Current State: 83:[46, 49, 4, 67], Operations: []
Exploring Operation: 46+67=113, Resulting Numbers: [49, 4, 113]
Generated Node #2: [49, 4, 113] from Operation: 46+67=113
Current State: 83:[49, 4, 113], Operations: ['46+67=113']
Exploring Operation: 49*4=196, Resulting Numbers: [113, 196]
Generated Node #3: [113, 196] from Operation: 49*4=196
Current State: 83:[113, 196], Operations: ['46+67=113', '49*4=196']
Exploring Operation: 196-113=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[46, 49, 4, 67], Operations: []
Exploring Operation: 4+67=71, Resulting Numbers: [46, 49, 71]
Generated Node #0,0: 83:[46, 49, 71] Operation: 4+67=71
Exploring Operation: 49+4=53, Resulting Numbers: [46, 67, 53]
Generated Node #0,1: 83:[46, 67, 53] Operation: 49+4=53
Exploring Operation: 46+4=50, Resulting Numbers: [49, 67, 50]
Generated Node #0,2: 83:[49, 67, 50] Operation: 46+4=50
Exploring Operation: 46-4=42, Resulting Numbers: [49, 67, 42]
Generated Node #0,3: 83:[49, 67, 42] Operation: 46-4=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[46, 49, 71], Operations: ['4+67=71']
Exploring Operation: 49+71=120, Resulting Numbers: [46, 120]
Generated Node #0,0,0: 83:[46, 120] Operation: 49+71=120
Exploring Operation: 49-46=3, Resulting Numbers: [71, 3]
Generated Node #0,0,1: 83:[71, 3] Operation: 49-46=3
Exploring Operation: 46+71=117, Resulting Numbers: [49, 117]
Generated Node #0,0,2: 83:[49, 117] Operation: 46+71=117
Exploring Operation: 46+49=95, Resulting Numbers: [71, 95]
Generated Node #0,0,3: 83:[71, 95] Operation: 46+49=95
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 83:[71, 95], Operations: ['4+67=71', '46+49=95']
Exploring Operation: 71*95=6745, Resulting Numbers: [6745]
6745,83 unequal: No Solution
Exploring Operation: 95-71=24, Resulting Numbers: [24]
24,83 unequal: No Solution
Exploring Operation: 71+95=166, Resulting Numbers: [166]
166,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 83:[49, 117], Operations: ['4+67=71', '46+71=117']
Exploring Operation: 49*117=5733, Resulting Numbers: [5733]
5733,83 unequal: No Solution
Exploring Operation: 49+117=166, Resulting Numbers: [166]
166,83 unequal: No Solution
Exploring Operation: 117-49=68, Resulting Numbers: [68]
68,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[46, 120], Operations: ['4+67=71', '49+71=120']
Exploring Operation: 120-46=74, Resulting Numbers: [74]
74,83 unequal: No Solution
Exploring Operation: 46*120=5520, Resulting Numbers: [5520]
5520,83 unequal: No Solution
Exploring Operation: 46+120=166, Resulting Numbers: [166]
166,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 83:[71, 3], Operations: ['4+67=71', '49-46=3']
Exploring Operation: 71*3=213, Resulting Numbers: [213]
213,83 unequal: No Solution
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,83 unequal: No Solution
Exploring Operation: 71+3=74, Resulting Numbers: [74]
74,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[46, 67, 53], Operations: ['49+4=53']
Exploring Operation: 46+53=99, Resulting Numbers: [67, 99]
Generated Node #0,1,0: 83:[67, 99] Operation: 46+53=99
Exploring Operation: 46+67=113, Resulting Numbers: [53, 113]
Generated Node #0,1,1: 83:[53, 113] Operation: 46+67=113
Exploring Operation: 67+53=120, Resulting Numbers: [46, 120]
Generated Node #0,1,2: 83:[46, 120] Operation: 67+53=120
Exploring Operation: 67-46=21, Resulting Numbers: [53, 21]
Generated Node #0,1,3: 83:[53, 21] Operation: 67-46=21
Moving to Node #0,1,0
Current State: 83:[67, 99], Operations: ['49+4=53', '46+53=99']
Exploring Operation: 67+99=166, Resulting Numbers: [166]
166,83 unequal: No Solution
Exploring Operation: 67*99=6633, Resulting Numbers: [6633]
6633,83 unequal: No Solution
Exploring Operation: 99-67=32, Resulting Numbers: [32]
32,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[53, 113], Operations: ['49+4=53', '46+67=113']
Exploring Operation: 53*113=5989, Resulting Numbers: [5989]
5989,83 unequal: No Solution
Exploring Operation: 113-53=60, Resulting Numbers: [60]
60,83 unequal: No Solution
Exploring Operation: 53+113=166, Resulting Numbers: [166]
166,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[46, 120], Operations: ['49+4=53', '67+53=120']
Exploring Operation: 46+120=166, Resulting Numbers: [166]
166,83 unequal: No Solution
Exploring Operation: 120-46=74, Resulting Numbers: [74]
74,83 unequal: No Solution
Exploring Operation: 46*120=5520, Resulting Numbers: [5520]
5520,83 unequal: No Solution
Moving to Node #0,1,3
Current State: 83:[53, 21], Operations: ['49+4=53', '67-46=21']
Exploring Operation: 53-21=32, Resulting Numbers: [32]
32,83 unequal: No Solution
Exploring Operation: 53+21=74, Resulting Numbers: [74]
74,83 unequal: No Solution
Exploring Operation: 53*21=1113, Resulting Numbers: [1113]
1113,83 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 #0,2
Current State: 83:[49, 67, 50], Operations: ['46+4=50']
Exploring Operation: 67-49=18, Resulting Numbers: [50, 18]
Generated Node #0,2,0: 83:[50, 18] Operation: 67-49=18
Exploring Operation: 49+50=99, Resulting Numbers: [67, 99]
Generated Node #0,2,1: 83:[67, 99] Operation: 49+50=99
Exploring Operation: 49+67=116, Resulting Numbers: [50, 116]
Generated Node #0,2,2: 83:[50, 116] Operation: 49+67=116
Exploring Operation: 67+50=117, Resulting Numbers: [49, 117]
Generated Node #0,2,3: 83:[49, 117] Operation: 67+50=117
Moving to Node #0,2,1
Current State: 83:[67, 99], Operations: ['46+4=50', '49+50=99']
Exploring Operation: 99-67=32, Resulting Numbers: [32]
32,83 unequal: No Solution
Exploring Operation: 67+99=166, Resulting Numbers: [166]
166,83 unequal: No Solution
Exploring Operation: 67*99=6633, Resulting Numbers: [6633]
6633,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[50, 116], Operations: ['46+4=50', '49+67=116']
Exploring Operation: 116-50=66, Resulting Numbers: [66]
66,83 unequal: No Solution
Exploring Operation: 50*116=5800, Resulting Numbers: [5800]
5800,83 unequal: No Solution
Exploring Operation: 50+116=166, Resulting Numbers: [166]
166,83 unequal: No Solution
Moving to Node #0,2,3
Current State: 83:[49, 117], Operations: ['46+4=50', '67+50=117']
Exploring Operation: 49+117=166, Resulting Numbers: [166]
166,83 unequal: No Solution
Exploring Operation: 49*117=5733, Resulting Numbers: [5733]
5733,83 unequal: No Solution
Exploring Operation: 117-49=68, Resulting Numbers: [68]
68,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[50, 18], Operations: ['46+4=50', '67-49=18']
Exploring Operation: 50*18=900, Resulting Numbers: [900]
900,83 unequal: No Solution
Exploring Operation: 50+18=68, Resulting Numbers: [68]
68,83 unequal: No Solution
Exploring Operation: 50-18=32, Resulting Numbers: [32]
32,83 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:[49, 67, 42], Operations: ['46-4=42']
Exploring Operation: 49-42=7, Resulting Numbers: [67, 7]
Generated Node #0,3,0: 83:[67, 7] Operation: 49-42=7
Exploring Operation: 49+67=116, Resulting Numbers: [42, 116]
Generated Node #0,3,1: 83:[42, 116] Operation: 49+67=116
Exploring Operation: 67+42=109, Resulting Numbers: [49, 109]
Generated Node #0,3,2: 83:[49, 109] Operation: 67+42=109
Exploring Operation: 49+42=91, Resulting Numbers: [67, 91]
Generated Node #0,3,3: 83:[67, 91] Operation: 49+42=91
Moving to Node #0,3,3
Current State: 83:[67, 91], Operations: ['46-4=42', '49+42=91']
Exploring Operation: 67*91=6097, Resulting Numbers: [6097]
6097,83 unequal: No Solution
Exploring Operation: 67+91=158, Resulting Numbers: [158]
158,83 unequal: No Solution
Exploring Operation: 91-67=24, Resulting Numbers: [24]
24,83 unequal: No Solution
Moving to Node #0,3,2
Current State: 83:[49, 109], Operations: ['46-4=42', '67+42=109']
Exploring Operation: 49*109=5341, Resulting Numbers: [5341]
5341,83 unequal: No Solution
Exploring Operation: 49+109=158, Resulting Numbers: [158]
158,83 unequal: No Solution
Exploring Operation: 109-49=60, Resulting Numbers: [60]
60,83 unequal: No Solution
Moving to Node #0,3,1
Current State: 83:[42, 116], Operations: ['46-4=42', '49+67=116']
Exploring Operation: 116-42=74, Resulting Numbers: [74]
74,83 unequal: No Solution
Exploring Operation: 42*116=4872, Resulting Numbers: [4872]
4872,83 unequal: No Solution
Exploring Operation: 42+116=158, Resulting Numbers: [158]
158,83 unequal: No Solution
Moving to Node #0,3,0
Current State: 83:[67, 7], Operations: ['46-4=42', '49-42=7']
Exploring Operation: 67+7=74, Resulting Numbers: [74]
74,83 unequal: No Solution
Exploring Operation: 67*7=469, Resulting Numbers: [469]
469,83 unequal: No Solution
Exploring Operation: 67-7=60, Resulting Numbers: [60]
60,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
63,
7,
60,
5
] | 36 | [
"63-60=3",
"7+5=12",
"3*12=36"
] | Current State: 36:[63, 7, 60, 5], Operations: []
Exploring Operation: 63-60=3, Resulting Numbers: [7, 5, 3]
Generated Node #2: [7, 5, 3] from Operation: 63-60=3
Current State: 36:[7, 5, 3], Operations: ['63-60=3']
Exploring Operation: 7+5=12, Resulting Numbers: [3, 12]
Generated Node #3: [3, 12] from Operation: 7+5=12
Current State: 36:[3, 12], Operations: ['63-60=3', '7+5=12']
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[63, 7, 60, 5], Operations: []
Exploring Operation: 60/5=12, Resulting Numbers: [63, 7, 12]
Generated Node #0,0: 36:[63, 7, 12] Operation: 60/5=12
Exploring Operation: 63/7=9, Resulting Numbers: [60, 5, 9]
Generated Node #0,1: 36:[60, 5, 9] Operation: 63/7=9
Exploring Operation: 63-60=3, Resulting Numbers: [7, 5, 3]
Generated Node #0,2: 36:[7, 5, 3] Operation: 63-60=3
Exploring Operation: 63-7=56, Resulting Numbers: [60, 5, 56]
Generated Node #0,3: 36:[60, 5, 56] Operation: 63-7=56
Start Sub Search at level 1: Moving to Node #0,2
Current State: 36:[7, 5, 3], Operations: ['63-60=3']
Exploring Operation: 7+5=12, Resulting Numbers: [3, 12]
Generated Node #0,2,0: 36:[3, 12] Operation: 7+5=12
Exploring Operation: 7-5=2, Resulting Numbers: [3, 2]
Generated Node #0,2,1: 36:[3, 2] Operation: 7-5=2
Exploring Operation: 7-3=4, Resulting Numbers: [5, 4]
Generated Node #0,2,2: 36:[5, 4] Operation: 7-3=4
Exploring Operation: 7*5=35, Resulting Numbers: [3, 35]
Generated Node #0,2,3: 36:[3, 35] Operation: 7*5=35
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 36:[3, 12], Operations: ['63-60=3', '7+5=12']
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,36 unequal: No Solution
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,36 unequal: No Solution
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[63, 7, 60, 5], Operations: []
Exploring Operation: 63-60=3, Resulting Numbers: [7, 5, 3]
Generated Node #0,2: 36:[7, 5, 3] Operation: 63-60=3
Moving to Node #0,2
Current State: 36:[7, 5, 3], Operations: ['63-60=3']
Exploring Operation: 7+5=12, Resulting Numbers: [3, 12]
Generated Node #0,2,0: 36:[3, 12] Operation: 7+5=12
Moving to Node #0,2,0
Current State: 36:[3, 12], Operations: ['63-60=3', '7+5=12']
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
4,
74,
51,
12
] | 82 | [
"51-12=39",
"4*39=156",
"156-74=82"
] | Current State: 82:[4, 74, 51, 12], Operations: []
Exploring Operation: 51-12=39, Resulting Numbers: [4, 74, 39]
Generated Node #2: [4, 74, 39] from Operation: 51-12=39
Current State: 82:[4, 74, 39], Operations: ['51-12=39']
Exploring Operation: 4*39=156, Resulting Numbers: [74, 156]
Generated Node #3: [74, 156] from Operation: 4*39=156
Current State: 82:[74, 156], Operations: ['51-12=39', '4*39=156']
Exploring Operation: 156-74=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[4, 74, 51, 12], Operations: []
Exploring Operation: 51-12=39, Resulting Numbers: [4, 74, 39]
Generated Node #0,0: 82:[4, 74, 39] Operation: 51-12=39
Exploring Operation: 74+12=86, Resulting Numbers: [4, 51, 86]
Generated Node #0,1: 82:[4, 51, 86] Operation: 74+12=86
Exploring Operation: 12/4=3, Resulting Numbers: [74, 51, 3]
Generated Node #0,2: 82:[74, 51, 3] Operation: 12/4=3
Exploring Operation: 4+74=78, Resulting Numbers: [51, 12, 78]
Generated Node #0,3: 82:[51, 12, 78] Operation: 4+74=78
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[4, 74, 39], Operations: ['51-12=39']
Exploring Operation: 4+39=43, Resulting Numbers: [74, 43]
Generated Node #0,0,0: 82:[74, 43] Operation: 4+39=43
Exploring Operation: 74-39=35, Resulting Numbers: [4, 35]
Generated Node #0,0,1: 82:[4, 35] Operation: 74-39=35
Exploring Operation: 74-4=70, Resulting Numbers: [39, 70]
Generated Node #0,0,2: 82:[39, 70] Operation: 74-4=70
Exploring Operation: 4+74=78, Resulting Numbers: [39, 78]
Generated Node #0,0,3: 82:[39, 78] Operation: 4+74=78
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 82:[39, 78], Operations: ['51-12=39', '4+74=78']
Exploring Operation: 78-39=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 39+78=117, Resulting Numbers: [117]
117,82 unequal: No Solution
Exploring Operation: 78/39=2, Resulting Numbers: [2]
2,82 unequal: No Solution
Exploring Operation: 39*78=3042, Resulting Numbers: [3042]
3042,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 82:[4, 35], Operations: ['51-12=39', '74-39=35']
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,82 unequal: No Solution
Exploring Operation: 4+35=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 4*35=140, Resulting Numbers: [140]
140,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 82:[74, 43], Operations: ['51-12=39', '4+39=43']
Exploring Operation: 74+43=117, Resulting Numbers: [117]
117,82 unequal: No Solution
Exploring Operation: 74*43=3182, Resulting Numbers: [3182]
3182,82 unequal: No Solution
Exploring Operation: 74-43=31, Resulting Numbers: [31]
31,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 82:[39, 70], Operations: ['51-12=39', '74-4=70']
Exploring Operation: 39*70=2730, Resulting Numbers: [2730]
2730,82 unequal: No Solution
Exploring Operation: 70-39=31, Resulting Numbers: [31]
31,82 unequal: No Solution
Exploring Operation: 39+70=109, Resulting Numbers: [109]
109,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[4, 51, 86], Operations: ['74+12=86']
Exploring Operation: 86-4=82, Resulting Numbers: [51, 82]
Generated Node #0,1,0: 82:[51, 82] Operation: 86-4=82
Exploring Operation: 4+51=55, Resulting Numbers: [86, 55]
Generated Node #0,1,1: 82:[86, 55] Operation: 4+51=55
Exploring Operation: 86-51=35, Resulting Numbers: [4, 35]
Generated Node #0,1,2: 82:[4, 35] Operation: 86-51=35
Exploring Operation: 51-4=47, Resulting Numbers: [86, 47]
Generated Node #0,1,3: 82:[86, 47] Operation: 51-4=47
Moving to Node #0,1,2
Current State: 82:[4, 35], Operations: ['74+12=86', '86-51=35']
Exploring Operation: 4+35=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 4*35=140, Resulting Numbers: [140]
140,82 unequal: No Solution
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,82 unequal: No Solution
Moving to Node #0,1,3
Current State: 82:[86, 47], Operations: ['74+12=86', '51-4=47']
Exploring Operation: 86-47=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 86*47=4042, Resulting Numbers: [4042]
4042,82 unequal: No Solution
Exploring Operation: 86+47=133, Resulting Numbers: [133]
133,82 unequal: No Solution
Moving to Node #0,1,0
Current State: 82:[51, 82], Operations: ['74+12=86', '86-4=82']
Exploring Operation: 51*82=4182, Resulting Numbers: [4182]
4182,82 unequal: No Solution
Exploring Operation: 51+82=133, Resulting Numbers: [133]
133,82 unequal: No Solution
Exploring Operation: 82-51=31, Resulting Numbers: [31]
31,82 unequal: No Solution
Moving to Node #0,1,1
Current State: 82:[86, 55], Operations: ['74+12=86', '4+51=55']
Exploring Operation: 86+55=141, Resulting Numbers: [141]
141,82 unequal: No Solution
Exploring Operation: 86*55=4730, Resulting Numbers: [4730]
4730,82 unequal: No Solution
Exploring Operation: 86-55=31, Resulting Numbers: [31]
31,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 82:[74, 51, 3], Operations: ['12/4=3']
Exploring Operation: 74+3=77, Resulting Numbers: [51, 77]
Generated Node #0,2,0: 82:[51, 77] Operation: 74+3=77
Exploring Operation: 51-3=48, Resulting Numbers: [74, 48]
Generated Node #0,2,1: 82:[74, 48] Operation: 51-3=48
Exploring Operation: 74-3=71, Resulting Numbers: [51, 71]
Generated Node #0,2,2: 82:[51, 71] Operation: 74-3=71
Exploring Operation: 74-51=23, Resulting Numbers: [3, 23]
Generated Node #0,2,3: 82:[3, 23] Operation: 74-51=23
Moving to Node #0,2,0
Current State: 82:[51, 77], Operations: ['12/4=3', '74+3=77']
Exploring Operation: 51*77=3927, Resulting Numbers: [3927]
3927,82 unequal: No Solution
Exploring Operation: 77-51=26, Resulting Numbers: [26]
26,82 unequal: No Solution
Exploring Operation: 51+77=128, Resulting Numbers: [128]
128,82 unequal: No Solution
Moving to Node #0,2,1
Current State: 82:[74, 48], Operations: ['12/4=3', '51-3=48']
Exploring Operation: 74-48=26, Resulting Numbers: [26]
26,82 unequal: No Solution
Exploring Operation: 74*48=3552, Resulting Numbers: [3552]
3552,82 unequal: No Solution
Exploring Operation: 74+48=122, Resulting Numbers: [122]
122,82 unequal: No Solution
Moving to Node #0,2,3
Current State: 82:[3, 23], Operations: ['12/4=3', '74-51=23']
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,82 unequal: No Solution
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,82 unequal: No Solution
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,82 unequal: No Solution
Moving to Node #0,2,2
Current State: 82:[51, 71], Operations: ['12/4=3', '74-3=71']
Exploring Operation: 71-51=20, Resulting Numbers: [20]
20,82 unequal: No Solution
Exploring Operation: 51+71=122, Resulting Numbers: [122]
122,82 unequal: No Solution
Exploring Operation: 51*71=3621, Resulting Numbers: [3621]
3621,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 82:[51, 12, 78], Operations: ['4+74=78']
Exploring Operation: 78-51=27, Resulting Numbers: [12, 27]
Generated Node #0,3,0: 82:[12, 27] Operation: 78-51=27
Exploring Operation: 51+12=63, Resulting Numbers: [78, 63]
Generated Node #0,3,1: 82:[78, 63] Operation: 51+12=63
Exploring Operation: 12+78=90, Resulting Numbers: [51, 90]
Generated Node #0,3,2: 82:[51, 90] Operation: 12+78=90
Exploring Operation: 51-12=39, Resulting Numbers: [78, 39]
Generated Node #0,3,3: 82:[78, 39] Operation: 51-12=39
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 82:[78, 39], Operations: ['4+74=78', '51-12=39']
Exploring Operation: 78-39=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 78/39=2, Resulting Numbers: [2]
2,82 unequal: No Solution
Exploring Operation: 78+39=117, Resulting Numbers: [117]
117,82 unequal: No Solution
Exploring Operation: 78*39=3042, Resulting Numbers: [3042]
3042,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 82:[51, 90], Operations: ['4+74=78', '12+78=90']
Exploring Operation: 90-51=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 51*90=4590, Resulting Numbers: [4590]
4590,82 unequal: No Solution
Exploring Operation: 51+90=141, Resulting Numbers: [141]
141,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 82:[78, 63], Operations: ['4+74=78', '51+12=63']
Exploring Operation: 78+63=141, Resulting Numbers: [141]
141,82 unequal: No Solution
Exploring Operation: 78-63=15, Resulting Numbers: [15]
15,82 unequal: No Solution
Exploring Operation: 78*63=4914, Resulting Numbers: [4914]
4914,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 82:[12, 27], Operations: ['4+74=78', '78-51=27']
Exploring Operation: 27-12=15, Resulting Numbers: [15]
15,82 unequal: No Solution
Exploring Operation: 12+27=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 12*27=324, Resulting Numbers: [324]
324,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
88,
30,
18,
44
] | 92 | [
"88+30=118",
"44-18=26",
"118-26=92"
] | Current State: 92:[88, 30, 18, 44], Operations: []
Exploring Operation: 88+30=118, Resulting Numbers: [18, 44, 118]
Generated Node #2: [18, 44, 118] from Operation: 88+30=118
Current State: 92:[18, 44, 118], Operations: ['88+30=118']
Exploring Operation: 44-18=26, Resulting Numbers: [118, 26]
Generated Node #3: [118, 26] from Operation: 44-18=26
Current State: 92:[118, 26], Operations: ['88+30=118', '44-18=26']
Exploring Operation: 118-26=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[88, 30, 18, 44], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [30, 18, 2]
Generated Node #0,0: 92:[30, 18, 2] Operation: 88/44=2
Exploring Operation: 30-18=12, Resulting Numbers: [88, 44, 12]
Generated Node #0,1: 92:[88, 44, 12] Operation: 30-18=12
Exploring Operation: 30+18=48, Resulting Numbers: [88, 44, 48]
Generated Node #0,2: 92:[88, 44, 48] Operation: 30+18=48
Exploring Operation: 88-44=44, Resulting Numbers: [30, 18, 44]
Generated Node #0,3: 92:[30, 18, 44] Operation: 88-44=44
Start Sub Search at level 1: Moving to Node #0,2
Current State: 92:[88, 44, 48], Operations: ['30+18=48']
Exploring Operation: 88-44=44, Resulting Numbers: [48, 44]
Generated Node #0,2,0: 92:[48, 44] Operation: 88-44=44
Exploring Operation: 44+48=92, Resulting Numbers: [88, 92]
Generated Node #0,2,1: 92:[88, 92] Operation: 44+48=92
Exploring Operation: 88/44=2, Resulting Numbers: [48, 2]
Generated Node #0,2,2: 92:[48, 2] Operation: 88/44=2
Exploring Operation: 48-44=4, Resulting Numbers: [88, 4]
Generated Node #0,2,3: 92:[88, 4] Operation: 48-44=4
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 92:[48, 2], Operations: ['30+18=48', '88/44=2']
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,92 unequal: No Solution
Exploring Operation: 48*2=96, Resulting Numbers: [96]
96,92 unequal: No Solution
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,92 unequal: No Solution
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 92:[48, 44], Operations: ['30+18=48', '88-44=44']
Exploring Operation: 48+44=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[88, 30, 18, 44], Operations: []
Exploring Operation: 30+18=48, Resulting Numbers: [88, 44, 48]
Generated Node #0,2: 92:[88, 44, 48] Operation: 30+18=48
Moving to Node #0,2
Current State: 92:[88, 44, 48], Operations: ['30+18=48']
Exploring Operation: 88-44=44, Resulting Numbers: [48, 44]
Generated Node #0,2,0: 92:[48, 44] Operation: 88-44=44
Moving to Node #0,2,0
Current State: 92:[48, 44], Operations: ['30+18=48', '88-44=44']
Exploring Operation: 48+44=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_4 | mult_heuristic |
[
85,
9,
88,
82
] | 31 | [
"88-82=6",
"9*6=54",
"85-54=31"
] | Current State: 31:[85, 9, 88, 82], Operations: []
Exploring Operation: 88-82=6, Resulting Numbers: [85, 9, 6]
Generated Node #2: [85, 9, 6] from Operation: 88-82=6
Current State: 31:[85, 9, 6], Operations: ['88-82=6']
Exploring Operation: 9*6=54, Resulting Numbers: [85, 54]
Generated Node #3: [85, 54] from Operation: 9*6=54
Current State: 31:[85, 54], Operations: ['88-82=6', '9*6=54']
Exploring Operation: 85-54=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[85, 9, 88, 82], Operations: []
Exploring Operation: 88-85=3, Resulting Numbers: [9, 82, 3]
Generated Node #0,0: 31:[9, 82, 3] Operation: 88-85=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[9, 82, 3], Operations: ['88-85=3']
Exploring Operation: 9*3=27, Resulting Numbers: [82, 27]
Generated Node #0,0,0: 31:[82, 27] Operation: 9*3=27
Moving to Node #0,0,0
Current State: 31:[82, 27], Operations: ['88-85=3', '9*3=27']
Exploring Operation: 82-27=55, Resulting Numbers: [55]
55,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
7,
27,
26,
54
] | 46 | [
"7+27=34",
"26+54=80",
"80-34=46"
] | Current State: 46:[7, 27, 26, 54], Operations: []
Exploring Operation: 7+27=34, Resulting Numbers: [26, 54, 34]
Generated Node #2: [26, 54, 34] from Operation: 7+27=34
Current State: 46:[26, 54, 34], Operations: ['7+27=34']
Exploring Operation: 26+54=80, Resulting Numbers: [34, 80]
Generated Node #3: [34, 80] from Operation: 26+54=80
Current State: 46:[34, 80], Operations: ['7+27=34', '26+54=80']
Exploring Operation: 80-34=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[7, 27, 26, 54], Operations: []
Exploring Operation: 54/27=2, Resulting Numbers: [7, 26, 2]
Generated Node #0,0: 46:[7, 26, 2] Operation: 54/27=2
Exploring Operation: 54-7=47, Resulting Numbers: [27, 26, 47]
Generated Node #0,1: 46:[27, 26, 47] Operation: 54-7=47
Moving to Node #0,0
Current State: 46:[7, 26, 2], Operations: ['54/27=2']
Exploring Operation: 7-2=5, Resulting Numbers: [26, 5]
Generated Node #0,0,0: 46:[26, 5] Operation: 7-2=5
Exploring Operation: 26-7=19, Resulting Numbers: [2, 19]
Generated Node #0,0,1: 46:[2, 19] Operation: 26-7=19
Moving to Node #0,1
Current State: 46:[27, 26, 47], Operations: ['54-7=47']
Exploring Operation: 47-27=20, Resulting Numbers: [26, 20]
Generated Node #0,1,0: 46:[26, 20] Operation: 47-27=20
Exploring Operation: 27-26=1, Resulting Numbers: [47, 1]
Generated Node #0,1,1: 46:[47, 1] Operation: 27-26=1
Moving to Node #0,1,1
Current State: 46:[47, 1], Operations: ['54-7=47', '27-26=1']
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[7, 27, 26, 54], Operations: []
Exploring Operation: 54-7=47, Resulting Numbers: [27, 26, 47]
Generated Node #0,1: 46:[27, 26, 47] Operation: 54-7=47
Moving to Node #0,1
Current State: 46:[27, 26, 47], Operations: ['54-7=47']
Exploring Operation: 27-26=1, Resulting Numbers: [47, 1]
Generated Node #0,1,1: 46:[47, 1] Operation: 27-26=1
Moving to Node #0,1,1
Current State: 46:[47, 1], Operations: ['54-7=47', '27-26=1']
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 0.990451 | hs_2 | sum_heuristic |
[
96,
10,
90,
7
] | 52 | [
"96-90=6",
"7*6=42",
"10+42=52"
] | Current State: 52:[96, 10, 90, 7], Operations: []
Exploring Operation: 96-90=6, Resulting Numbers: [10, 7, 6]
Generated Node #2: [10, 7, 6] from Operation: 96-90=6
Current State: 52:[10, 7, 6], Operations: ['96-90=6']
Exploring Operation: 7*6=42, Resulting Numbers: [10, 42]
Generated Node #3: [10, 42] from Operation: 7*6=42
Current State: 52:[10, 42], Operations: ['96-90=6', '7*6=42']
Exploring Operation: 10+42=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[96, 10, 90, 7], Operations: []
Exploring Operation: 90/10=9, Resulting Numbers: [96, 7, 9]
Generated Node #0,0: 52:[96, 7, 9] Operation: 90/10=9
Exploring Operation: 90-10=80, Resulting Numbers: [96, 7, 80]
Generated Node #0,1: 52:[96, 7, 80] Operation: 90-10=80
Exploring Operation: 96-7=89, Resulting Numbers: [10, 90, 89]
Generated Node #0,2: 52:[10, 90, 89] Operation: 96-7=89
Exploring Operation: 96-10=86, Resulting Numbers: [90, 7, 86]
Generated Node #0,3: 52:[90, 7, 86] Operation: 96-10=86
Exploring Operation: 96-90=6, Resulting Numbers: [10, 7, 6]
Generated Node #0,4: 52:[10, 7, 6] Operation: 96-90=6
Start Sub Search at level 1: Moving to Node #0,4
Current State: 52:[10, 7, 6], Operations: ['96-90=6']
Exploring Operation: 7+6=13, Resulting Numbers: [10, 13]
Generated Node #0,4,0: 52:[10, 13] Operation: 7+6=13
Exploring Operation: 7-6=1, Resulting Numbers: [10, 1]
Generated Node #0,4,1: 52:[10, 1] Operation: 7-6=1
Exploring Operation: 10-7=3, Resulting Numbers: [6, 3]
Generated Node #0,4,2: 52:[6, 3] Operation: 10-7=3
Exploring Operation: 10+7=17, Resulting Numbers: [6, 17]
Generated Node #0,4,3: 52:[6, 17] Operation: 10+7=17
Exploring Operation: 10-6=4, Resulting Numbers: [7, 4]
Generated Node #0,4,4: 52:[7, 4] Operation: 10-6=4
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 52:[10, 13], Operations: ['96-90=6', '7+6=13']
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 10+13=23, Resulting Numbers: [23]
23,52 unequal: No Solution
Exploring Operation: 10*13=130, Resulting Numbers: [130]
130,52 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 #0,4,2
Current State: 52:[6, 3], Operations: ['96-90=6', '10-7=3']
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Exploring Operation: 6*3=18, Resulting Numbers: [18]
18,52 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 6+3=9, Resulting Numbers: [9]
9,52 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 #0,4,4
Current State: 52:[7, 4], Operations: ['96-90=6', '10-6=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,52 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,52 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 #0,4,1
Current State: 52:[10, 1], Operations: ['96-90=6', '7-6=1']
Exploring Operation: 10-1=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 10*1=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Exploring Operation: 10/1=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Exploring Operation: 10+1=11, Resulting Numbers: [11]
11,52 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 #0,4,3
Current State: 52:[6, 17], Operations: ['96-90=6', '10+7=17']
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,52 unequal: No Solution
Exploring Operation: 6*17=102, Resulting Numbers: [102]
102,52 unequal: No Solution
Exploring Operation: 6+17=23, Resulting Numbers: [23]
23,52 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 #0,0
Current State: 52:[96, 7, 9], Operations: ['90/10=9']
Exploring Operation: 9-7=2, Resulting Numbers: [96, 2]
Generated Node #0,0,0: 52:[96, 2] Operation: 9-7=2
Exploring Operation: 96-7=89, Resulting Numbers: [9, 89]
Generated Node #0,0,1: 52:[9, 89] Operation: 96-7=89
Exploring Operation: 96-9=87, Resulting Numbers: [7, 87]
Generated Node #0,0,2: 52:[7, 87] Operation: 96-9=87
Exploring Operation: 7+9=16, Resulting Numbers: [96, 16]
Generated Node #0,0,3: 52:[96, 16] Operation: 7+9=16
Exploring Operation: 96+7=103, Resulting Numbers: [9, 103]
Generated Node #0,0,4: 52:[9, 103] Operation: 96+7=103
Moving to Node #0,0,2
Current State: 52:[7, 87], Operations: ['90/10=9', '96-9=87']
Exploring Operation: 87-7=80, Resulting Numbers: [80]
80,52 unequal: No Solution
Exploring Operation: 7+87=94, Resulting Numbers: [94]
94,52 unequal: No Solution
Exploring Operation: 7*87=609, Resulting Numbers: [609]
609,52 unequal: No Solution
Moving to Node #0,0,1
Current State: 52:[9, 89], Operations: ['90/10=9', '96-7=89']
Exploring Operation: 9+89=98, Resulting Numbers: [98]
98,52 unequal: No Solution
Exploring Operation: 89-9=80, Resulting Numbers: [80]
80,52 unequal: No Solution
Exploring Operation: 9*89=801, Resulting Numbers: [801]
801,52 unequal: No Solution
Moving to Node #0,0,0
Current State: 52:[96, 2], Operations: ['90/10=9', '9-7=2']
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,52 unequal: No Solution
Exploring Operation: 96+2=98, Resulting Numbers: [98]
98,52 unequal: No Solution
Exploring Operation: 96/2=48, Resulting Numbers: [48]
48,52 unequal: No Solution
Exploring Operation: 96*2=192, Resulting Numbers: [192]
192,52 unequal: No Solution
Moving to Node #0,0,3
Current State: 52:[96, 16], Operations: ['90/10=9', '7+9=16']
Exploring Operation: 96*16=1536, Resulting Numbers: [1536]
1536,52 unequal: No Solution
Exploring Operation: 96/16=6, Resulting Numbers: [6]
6,52 unequal: No Solution
Exploring Operation: 96+16=112, Resulting Numbers: [112]
112,52 unequal: No Solution
Exploring Operation: 96-16=80, Resulting Numbers: [80]
80,52 unequal: No Solution
Moving to Node #0,0,4
Current State: 52:[9, 103], Operations: ['90/10=9', '96+7=103']
Exploring Operation: 103-9=94, Resulting Numbers: [94]
94,52 unequal: No Solution
Exploring Operation: 9*103=927, Resulting Numbers: [927]
927,52 unequal: No Solution
Exploring Operation: 9+103=112, Resulting Numbers: [112]
112,52 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:[96, 7, 80], Operations: ['90-10=80']
Exploring Operation: 96-80=16, Resulting Numbers: [7, 16]
Generated Node #0,1,0: 52:[7, 16] Operation: 96-80=16
Exploring Operation: 80-7=73, Resulting Numbers: [96, 73]
Generated Node #0,1,1: 52:[96, 73] Operation: 80-7=73
Exploring Operation: 96-7=89, Resulting Numbers: [80, 89]
Generated Node #0,1,2: 52:[80, 89] Operation: 96-7=89
Exploring Operation: 96+7=103, Resulting Numbers: [80, 103]
Generated Node #0,1,3: 52:[80, 103] Operation: 96+7=103
Exploring Operation: 7+80=87, Resulting Numbers: [96, 87]
Generated Node #0,1,4: 52:[96, 87] Operation: 7+80=87
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 52:[7, 16], Operations: ['90-10=80', '96-80=16']
Exploring Operation: 7+16=23, Resulting Numbers: [23]
23,52 unequal: No Solution
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 7*16=112, Resulting Numbers: [112]
112,52 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 #0,1,1
Current State: 52:[96, 73], Operations: ['90-10=80', '80-7=73']
Exploring Operation: 96-73=23, Resulting Numbers: [23]
23,52 unequal: No Solution
Exploring Operation: 96*73=7008, Resulting Numbers: [7008]
7008,52 unequal: No Solution
Exploring Operation: 96+73=169, Resulting Numbers: [169]
169,52 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 #0,1,2
Current State: 52:[80, 89], Operations: ['90-10=80', '96-7=89']
Exploring Operation: 80+89=169, Resulting Numbers: [169]
169,52 unequal: No Solution
Exploring Operation: 80*89=7120, Resulting Numbers: [7120]
7120,52 unequal: No Solution
Exploring Operation: 89-80=9, Resulting Numbers: [9]
9,52 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 #0,1,3
Current State: 52:[80, 103], Operations: ['90-10=80', '96+7=103']
Exploring Operation: 80+103=183, Resulting Numbers: [183]
183,52 unequal: No Solution
Exploring Operation: 80*103=8240, Resulting Numbers: [8240]
8240,52 unequal: No Solution
Exploring Operation: 103-80=23, Resulting Numbers: [23]
23,52 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 #0,1,4
Current State: 52:[96, 87], Operations: ['90-10=80', '7+80=87']
Exploring Operation: 96+87=183, Resulting Numbers: [183]
183,52 unequal: No Solution
Exploring Operation: 96-87=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 96*87=8352, Resulting Numbers: [8352]
8352,52 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:[90, 7, 86], Operations: ['96-10=86']
Exploring Operation: 7+86=93, Resulting Numbers: [90, 93]
Generated Node #0,3,0: 52:[90, 93] Operation: 7+86=93
Exploring Operation: 86-7=79, Resulting Numbers: [90, 79]
Generated Node #0,3,1: 52:[90, 79] Operation: 86-7=79
Exploring Operation: 90-7=83, Resulting Numbers: [86, 83]
Generated Node #0,3,2: 52:[86, 83] Operation: 90-7=83
Exploring Operation: 90-86=4, Resulting Numbers: [7, 4]
Generated Node #0,3,3: 52:[7, 4] Operation: 90-86=4
Exploring Operation: 90+7=97, Resulting Numbers: [86, 97]
Generated Node #0,3,4: 52:[86, 97] Operation: 90+7=97
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 52:[7, 4], Operations: ['96-10=86', '90-86=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,52 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,52 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 #0,3,1
Current State: 52:[90, 79], Operations: ['96-10=86', '86-7=79']
Exploring Operation: 90-79=11, Resulting Numbers: [11]
11,52 unequal: No Solution
Exploring Operation: 90+79=169, Resulting Numbers: [169]
169,52 unequal: No Solution
Exploring Operation: 90*79=7110, Resulting Numbers: [7110]
7110,52 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 #0,3,2
Current State: 52:[86, 83], Operations: ['96-10=86', '90-7=83']
Exploring Operation: 86-83=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 86*83=7138, Resulting Numbers: [7138]
7138,52 unequal: No Solution
Exploring Operation: 86+83=169, Resulting Numbers: [169]
169,52 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 #0,3,0
Current State: 52:[90, 93], Operations: ['96-10=86', '7+86=93']
Exploring Operation: 90*93=8370, Resulting Numbers: [8370]
8370,52 unequal: No Solution
Exploring Operation: 90+93=183, Resulting Numbers: [183]
183,52 unequal: No Solution
Exploring Operation: 93-90=3, Resulting Numbers: [3]
3,52 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 #0,3,4
Current State: 52:[86, 97], Operations: ['96-10=86', '90+7=97']
Exploring Operation: 86+97=183, Resulting Numbers: [183]
183,52 unequal: No Solution
Exploring Operation: 97-86=11, Resulting Numbers: [11]
11,52 unequal: No Solution
Exploring Operation: 86*97=8342, Resulting Numbers: [8342]
8342,52 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 #0,2
Current State: 52:[10, 90, 89], Operations: ['96-7=89']
Exploring Operation: 90-89=1, Resulting Numbers: [10, 1]
Generated Node #0,2,0: 52:[10, 1] Operation: 90-89=1
Exploring Operation: 90-10=80, Resulting Numbers: [89, 80]
Generated Node #0,2,1: 52:[89, 80] Operation: 90-10=80
Exploring Operation: 90/10=9, Resulting Numbers: [89, 9]
Generated Node #0,2,2: 52:[89, 9] Operation: 90/10=9
Exploring Operation: 89-10=79, Resulting Numbers: [90, 79]
Generated Node #0,2,3: 52:[90, 79] Operation: 89-10=79
Exploring Operation: 10+90=100, Resulting Numbers: [89, 100]
Generated Node #0,2,4: 52:[89, 100] Operation: 10+90=100
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 52:[10, 1], Operations: ['96-7=89', '90-89=1']
Exploring Operation: 10*1=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Exploring Operation: 10+1=11, Resulting Numbers: [11]
11,52 unequal: No Solution
Exploring Operation: 10-1=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 10/1=10, Resulting Numbers: [10]
10,52 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:[89, 9], Operations: ['96-7=89', '90/10=9']
Exploring Operation: 89-9=80, Resulting Numbers: [80]
80,52 unequal: No Solution
Exploring Operation: 89*9=801, Resulting Numbers: [801]
801,52 unequal: No Solution
Exploring Operation: 89+9=98, Resulting Numbers: [98]
98,52 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:[89, 80], Operations: ['96-7=89', '90-10=80']
Exploring Operation: 89+80=169, Resulting Numbers: [169]
169,52 unequal: No Solution
Exploring Operation: 89-80=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 89*80=7120, Resulting Numbers: [7120]
7120,52 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 #0,2,3
Current State: 52:[90, 79], Operations: ['96-7=89', '89-10=79']
Exploring Operation: 90+79=169, Resulting Numbers: [169]
169,52 unequal: No Solution
Exploring Operation: 90-79=11, Resulting Numbers: [11]
11,52 unequal: No Solution
Exploring Operation: 90*79=7110, Resulting Numbers: [7110]
7110,52 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 #0,2,4
Current State: 52:[89, 100], Operations: ['96-7=89', '10+90=100']
Exploring Operation: 89*100=8900, Resulting Numbers: [8900]
8900,52 unequal: No Solution
Exploring Operation: 89+100=189, Resulting Numbers: [189]
189,52 unequal: No Solution
Exploring Operation: 100-89=11, Resulting Numbers: [11]
11,52 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_5 | sum_heuristic |
[
19,
15,
81,
12
] | 16 | [
"15+12=27",
"81/27=3",
"19-3=16"
] | Current State: 16:[19, 15, 81, 12], Operations: []
Exploring Operation: 15+12=27, Resulting Numbers: [19, 81, 27]
Generated Node #2: [19, 81, 27] from Operation: 15+12=27
Current State: 16:[19, 81, 27], Operations: ['15+12=27']
Exploring Operation: 81/27=3, Resulting Numbers: [19, 3]
Generated Node #3: [19, 3] from Operation: 81/27=3
Current State: 16:[19, 3], Operations: ['15+12=27', '81/27=3']
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[19, 15, 81, 12], Operations: []
Exploring Operation: 81-15=66, Resulting Numbers: [19, 12, 66]
Generated Node #0,0: 16:[19, 12, 66] Operation: 81-15=66
Exploring Operation: 81-19=62, Resulting Numbers: [15, 12, 62]
Generated Node #0,1: 16:[15, 12, 62] Operation: 81-19=62
Exploring Operation: 81-12=69, Resulting Numbers: [19, 15, 69]
Generated Node #0,2: 16:[19, 15, 69] Operation: 81-12=69
Start Sub Search at level 1: Moving to Node #0,1
Current State: 16:[15, 12, 62], Operations: ['81-19=62']
Exploring Operation: 62-12=50, Resulting Numbers: [15, 50]
Generated Node #0,1,0: 16:[15, 50] Operation: 62-12=50
Exploring Operation: 15-12=3, Resulting Numbers: [62, 3]
Generated Node #0,1,1: 16:[62, 3] Operation: 15-12=3
Exploring Operation: 62-15=47, Resulting Numbers: [12, 47]
Generated Node #0,1,2: 16:[12, 47] Operation: 62-15=47
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 16:[15, 50], Operations: ['81-19=62', '62-12=50']
Exploring Operation: 15+50=65, Resulting Numbers: [65]
65,16 unequal: No Solution
Exploring Operation: 15*50=750, Resulting Numbers: [750]
750,16 unequal: No Solution
Exploring Operation: 50-15=35, Resulting Numbers: [35]
35,16 unequal: No Solution
No 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: 16:[12, 47], Operations: ['81-19=62', '62-15=47']
Exploring Operation: 12*47=564, Resulting Numbers: [564]
564,16 unequal: No Solution
Exploring Operation: 12+47=59, Resulting Numbers: [59]
59,16 unequal: No Solution
Exploring Operation: 47-12=35, Resulting Numbers: [35]
35,16 unequal: No Solution
No 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: 16:[62, 3], Operations: ['81-19=62', '15-12=3']
Exploring Operation: 62+3=65, Resulting Numbers: [65]
65,16 unequal: No Solution
Exploring Operation: 62*3=186, Resulting Numbers: [186]
186,16 unequal: No Solution
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,16 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: 16:[19, 12, 66], Operations: ['81-15=66']
Exploring Operation: 66-12=54, Resulting Numbers: [19, 54]
Generated Node #0,0,0: 16:[19, 54] Operation: 66-12=54
Exploring Operation: 19-12=7, Resulting Numbers: [66, 7]
Generated Node #0,0,1: 16:[66, 7] Operation: 19-12=7
Exploring Operation: 66-19=47, Resulting Numbers: [12, 47]
Generated Node #0,0,2: 16:[12, 47] Operation: 66-19=47
Moving to Node #0,0,2
Current State: 16:[12, 47], Operations: ['81-15=66', '66-19=47']
Exploring Operation: 47-12=35, Resulting Numbers: [35]
35,16 unequal: No Solution
Exploring Operation: 12*47=564, Resulting Numbers: [564]
564,16 unequal: No Solution
Exploring Operation: 12+47=59, Resulting Numbers: [59]
59,16 unequal: No Solution
Moving to Node #0,0,0
Current State: 16:[19, 54], Operations: ['81-15=66', '66-12=54']
Exploring Operation: 19*54=1026, Resulting Numbers: [1026]
1026,16 unequal: No Solution
Exploring Operation: 19+54=73, Resulting Numbers: [73]
73,16 unequal: No Solution
Exploring Operation: 54-19=35, Resulting Numbers: [35]
35,16 unequal: No Solution
Moving to Node #0,0,1
Current State: 16:[66, 7], Operations: ['81-15=66', '19-12=7']
Exploring Operation: 66-7=59, Resulting Numbers: [59]
59,16 unequal: No Solution
Exploring Operation: 66+7=73, Resulting Numbers: [73]
73,16 unequal: No Solution
Exploring Operation: 66*7=462, Resulting Numbers: [462]
462,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 16:[19, 15, 69], Operations: ['81-12=69']
Exploring Operation: 19-15=4, Resulting Numbers: [69, 4]
Generated Node #0,2,0: 16:[69, 4] Operation: 19-15=4
Exploring Operation: 69-19=50, Resulting Numbers: [15, 50]
Generated Node #0,2,1: 16:[15, 50] Operation: 69-19=50
Exploring Operation: 69-15=54, Resulting Numbers: [19, 54]
Generated Node #0,2,2: 16:[19, 54] Operation: 69-15=54
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 16:[15, 50], Operations: ['81-12=69', '69-19=50']
Exploring Operation: 50-15=35, Resulting Numbers: [35]
35,16 unequal: No Solution
Exploring Operation: 15*50=750, Resulting Numbers: [750]
750,16 unequal: No Solution
Exploring Operation: 15+50=65, Resulting Numbers: [65]
65,16 unequal: No Solution
No 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: 16:[19, 54], Operations: ['81-12=69', '69-15=54']
Exploring Operation: 19*54=1026, Resulting Numbers: [1026]
1026,16 unequal: No Solution
Exploring Operation: 54-19=35, Resulting Numbers: [35]
35,16 unequal: No Solution
Exploring Operation: 19+54=73, Resulting Numbers: [73]
73,16 unequal: No Solution
No 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: 16:[69, 4], Operations: ['81-12=69', '19-15=4']
Exploring Operation: 69+4=73, Resulting Numbers: [73]
73,16 unequal: No Solution
Exploring Operation: 69-4=65, Resulting Numbers: [65]
65,16 unequal: No Solution
Exploring Operation: 69*4=276, Resulting Numbers: [276]
276,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
8,
78,
88,
22
] | 45 | [
"88/8=11",
"78-22=56",
"56-11=45"
] | Current State: 45:[8, 78, 88, 22], Operations: []
Exploring Operation: 88/8=11, Resulting Numbers: [78, 22, 11]
Generated Node #2: [78, 22, 11] from Operation: 88/8=11
Current State: 45:[78, 22, 11], Operations: ['88/8=11']
Exploring Operation: 78-22=56, Resulting Numbers: [11, 56]
Generated Node #3: [11, 56] from Operation: 78-22=56
Current State: 45:[11, 56], Operations: ['88/8=11', '78-22=56']
Exploring Operation: 56-11=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[8, 78, 88, 22], Operations: []
Exploring Operation: 88/22=4, Resulting Numbers: [8, 78, 4]
Generated Node #0,0: 45:[8, 78, 4] Operation: 88/22=4
Exploring Operation: 88-78=10, Resulting Numbers: [8, 22, 10]
Generated Node #0,1: 45:[8, 22, 10] Operation: 88-78=10
Exploring Operation: 88/8=11, Resulting Numbers: [78, 22, 11]
Generated Node #0,2: 45:[78, 22, 11] Operation: 88/8=11
Start Sub Search at level 1: Moving to Node #0,1
Current State: 45:[8, 22, 10], Operations: ['88-78=10']
Exploring Operation: 10-8=2, Resulting Numbers: [22, 2]
Generated Node #0,1,0: 45:[22, 2] Operation: 10-8=2
Exploring Operation: 22-8=14, Resulting Numbers: [10, 14]
Generated Node #0,1,1: 45:[10, 14] Operation: 22-8=14
Exploring Operation: 22-10=12, Resulting Numbers: [8, 12]
Generated Node #0,1,2: 45:[8, 12] Operation: 22-10=12
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 45:[10, 14], Operations: ['88-78=10', '22-8=14']
Exploring Operation: 10*14=140, Resulting Numbers: [140]
140,45 unequal: No Solution
Exploring Operation: 10+14=24, Resulting Numbers: [24]
24,45 unequal: No Solution
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 45:[8, 12], Operations: ['88-78=10', '22-10=12']
Exploring Operation: 8*12=96, Resulting Numbers: [96]
96,45 unequal: No Solution
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,45 unequal: No Solution
Exploring Operation: 8+12=20, Resulting Numbers: [20]
20,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 45:[22, 2], Operations: ['88-78=10', '10-8=2']
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,45 unequal: No Solution
Exploring Operation: 22*2=44, Resulting Numbers: [44]
44,45 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 45:[8, 78, 4], Operations: ['88/22=4']
Exploring Operation: 78-4=74, Resulting Numbers: [8, 74]
Generated Node #0,0,0: 45:[8, 74] Operation: 78-4=74
Exploring Operation: 78-8=70, Resulting Numbers: [4, 70]
Generated Node #0,0,1: 45:[4, 70] Operation: 78-8=70
Exploring Operation: 8-4=4, Resulting Numbers: [78, 4]
Generated Node #0,0,2: 45:[78, 4] Operation: 8-4=4
Moving to Node #0,0,1
Current State: 45:[4, 70], Operations: ['88/22=4', '78-8=70']
Exploring Operation: 4+70=74, Resulting Numbers: [74]
74,45 unequal: No Solution
Exploring Operation: 4*70=280, Resulting Numbers: [280]
280,45 unequal: No Solution
Exploring Operation: 70-4=66, Resulting Numbers: [66]
66,45 unequal: No Solution
Moving to Node #0,0,0
Current State: 45:[8, 74], Operations: ['88/22=4', '78-4=74']
Exploring Operation: 8*74=592, Resulting Numbers: [592]
592,45 unequal: No Solution
Exploring Operation: 8+74=82, Resulting Numbers: [82]
82,45 unequal: No Solution
Exploring Operation: 74-8=66, Resulting Numbers: [66]
66,45 unequal: No Solution
Moving to Node #0,0,2
Current State: 45:[78, 4], Operations: ['88/22=4', '8-4=4']
Exploring Operation: 78*4=312, Resulting Numbers: [312]
312,45 unequal: No Solution
Exploring Operation: 78-4=74, Resulting Numbers: [74]
74,45 unequal: No Solution
Exploring Operation: 78+4=82, Resulting Numbers: [82]
82,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 45:[78, 22, 11], Operations: ['88/8=11']
Exploring Operation: 78-22=56, Resulting Numbers: [11, 56]
Generated Node #0,2,0: 45:[11, 56] Operation: 78-22=56
Exploring Operation: 22/11=2, Resulting Numbers: [78, 2]
Generated Node #0,2,1: 45:[78, 2] Operation: 22/11=2
Exploring Operation: 78-11=67, Resulting Numbers: [22, 67]
Generated Node #0,2,2: 45:[22, 67] Operation: 78-11=67
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 45:[11, 56], Operations: ['88/8=11', '78-22=56']
Exploring Operation: 11+56=67, Resulting Numbers: [67]
67,45 unequal: No Solution
Exploring Operation: 11*56=616, Resulting Numbers: [616]
616,45 unequal: No Solution
Exploring Operation: 56-11=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[8, 78, 88, 22], Operations: []
Exploring Operation: 88/8=11, Resulting Numbers: [78, 22, 11]
Generated Node #0,2: 45:[78, 22, 11] Operation: 88/8=11
Moving to Node #0,2
Current State: 45:[78, 22, 11], Operations: ['88/8=11']
Exploring Operation: 78-22=56, Resulting Numbers: [11, 56]
Generated Node #0,2,0: 45:[11, 56] Operation: 78-22=56
Moving to Node #0,2,0
Current State: 45:[11, 56], Operations: ['88/8=11', '78-22=56']
Exploring Operation: 56-11=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967882 | hs_3 | sum_heuristic |
[
90,
7,
80,
65
] | 15 | [
"90+80=170",
"170-65=105",
"105/7=15"
] | Current State: 15:[90, 7, 80, 65], Operations: []
Exploring Operation: 90+80=170, Resulting Numbers: [7, 65, 170]
Generated Node #2: [7, 65, 170] from Operation: 90+80=170
Current State: 15:[7, 65, 170], Operations: ['90+80=170']
Exploring Operation: 170-65=105, Resulting Numbers: [7, 105]
Generated Node #3: [7, 105] from Operation: 170-65=105
Current State: 15:[7, 105], Operations: ['90+80=170', '170-65=105']
Exploring Operation: 105/7=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[90, 7, 80, 65], Operations: []
Exploring Operation: 90-65=25, Resulting Numbers: [7, 80, 25]
Generated Node #0,0: 15:[7, 80, 25] Operation: 90-65=25
Exploring Operation: 80-65=15, Resulting Numbers: [90, 7, 15]
Generated Node #0,1: 15:[90, 7, 15] Operation: 80-65=15
Exploring Operation: 90-80=10, Resulting Numbers: [7, 65, 10]
Generated Node #0,2: 15:[7, 65, 10] Operation: 90-80=10
Start Sub Search at level 1: Moving to Node #0,2
Current State: 15:[7, 65, 10], Operations: ['90-80=10']
Exploring Operation: 65-7=58, Resulting Numbers: [10, 58]
Generated Node #0,2,0: 15:[10, 58] Operation: 65-7=58
Exploring Operation: 10-7=3, Resulting Numbers: [65, 3]
Generated Node #0,2,1: 15:[65, 3] Operation: 10-7=3
Exploring Operation: 65-10=55, Resulting Numbers: [7, 55]
Generated Node #0,2,2: 15:[7, 55] Operation: 65-10=55
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 15:[7, 55], Operations: ['90-80=10', '65-10=55']
Exploring Operation: 7*55=385, Resulting Numbers: [385]
385,15 unequal: No Solution
Exploring Operation: 7+55=62, Resulting Numbers: [62]
62,15 unequal: No Solution
Exploring Operation: 55-7=48, Resulting Numbers: [48]
48,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 15:[10, 58], Operations: ['90-80=10', '65-7=58']
Exploring Operation: 58-10=48, Resulting Numbers: [48]
48,15 unequal: No Solution
Exploring Operation: 10+58=68, Resulting Numbers: [68]
68,15 unequal: No Solution
Exploring Operation: 10*58=580, Resulting Numbers: [580]
580,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 15:[65, 3], Operations: ['90-80=10', '10-7=3']
Exploring Operation: 65+3=68, Resulting Numbers: [68]
68,15 unequal: No Solution
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,15 unequal: No Solution
Exploring Operation: 65*3=195, Resulting Numbers: [195]
195,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[7, 80, 25], Operations: ['90-65=25']
Exploring Operation: 80-7=73, Resulting Numbers: [25, 73]
Generated Node #0,0,0: 15:[25, 73] Operation: 80-7=73
Exploring Operation: 80-25=55, Resulting Numbers: [7, 55]
Generated Node #0,0,1: 15:[7, 55] Operation: 80-25=55
Exploring Operation: 25-7=18, Resulting Numbers: [80, 18]
Generated Node #0,0,2: 15:[80, 18] Operation: 25-7=18
Moving to Node #0,0,1
Current State: 15:[7, 55], Operations: ['90-65=25', '80-25=55']
Exploring Operation: 55-7=48, Resulting Numbers: [48]
48,15 unequal: No Solution
Exploring Operation: 7+55=62, Resulting Numbers: [62]
62,15 unequal: No Solution
Exploring Operation: 7*55=385, Resulting Numbers: [385]
385,15 unequal: No Solution
Moving to Node #0,0,0
Current State: 15:[25, 73], Operations: ['90-65=25', '80-7=73']
Exploring Operation: 73-25=48, Resulting Numbers: [48]
48,15 unequal: No Solution
Exploring Operation: 25+73=98, Resulting Numbers: [98]
98,15 unequal: No Solution
Exploring Operation: 25*73=1825, Resulting Numbers: [1825]
1825,15 unequal: No Solution
Moving to Node #0,0,2
Current State: 15:[80, 18], Operations: ['90-65=25', '25-7=18']
Exploring Operation: 80*18=1440, Resulting Numbers: [1440]
1440,15 unequal: No Solution
Exploring Operation: 80-18=62, Resulting Numbers: [62]
62,15 unequal: No Solution
Exploring Operation: 80+18=98, Resulting Numbers: [98]
98,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[90, 7, 15], Operations: ['80-65=15']
Exploring Operation: 90-7=83, Resulting Numbers: [15, 83]
Generated Node #0,1,0: 15:[15, 83] Operation: 90-7=83
Exploring Operation: 90-15=75, Resulting Numbers: [7, 75]
Generated Node #0,1,1: 15:[7, 75] Operation: 90-15=75
Exploring Operation: 90/15=6, Resulting Numbers: [7, 6]
Generated Node #0,1,2: 15:[7, 6] Operation: 90/15=6
Moving to Node #0,1,2
Current State: 15:[7, 6], Operations: ['80-65=15', '90/15=6']
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Exploring Operation: 7+6=13, Resulting Numbers: [13]
13,15 unequal: No Solution
Exploring Operation: 7*6=42, Resulting Numbers: [42]
42,15 unequal: No Solution
Moving to Node #0,1,1
Current State: 15:[7, 75], Operations: ['80-65=15', '90-15=75']
Exploring Operation: 7+75=82, Resulting Numbers: [82]
82,15 unequal: No Solution
Exploring Operation: 75-7=68, Resulting Numbers: [68]
68,15 unequal: No Solution
Exploring Operation: 7*75=525, Resulting Numbers: [525]
525,15 unequal: No Solution
Moving to Node #0,1,0
Current State: 15:[15, 83], Operations: ['80-65=15', '90-7=83']
Exploring Operation: 15*83=1245, Resulting Numbers: [1245]
1245,15 unequal: No Solution
Exploring Operation: 83-15=68, Resulting Numbers: [68]
68,15 unequal: No Solution
Exploring Operation: 15+83=98, Resulting Numbers: [98]
98,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
4,
5,
65,
95
] | 71 | [
"4*65=260",
"95+260=355",
"355/5=71"
] | Current State: 71:[4, 5, 65, 95], Operations: []
Exploring Operation: 4*65=260, Resulting Numbers: [5, 95, 260]
Generated Node #2: [5, 95, 260] from Operation: 4*65=260
Current State: 71:[5, 95, 260], Operations: ['4*65=260']
Exploring Operation: 95+260=355, Resulting Numbers: [5, 355]
Generated Node #3: [5, 355] from Operation: 95+260=355
Current State: 71:[5, 355], Operations: ['4*65=260', '95+260=355']
Exploring Operation: 355/5=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[4, 5, 65, 95], Operations: []
Exploring Operation: 4+5=9, Resulting Numbers: [65, 95, 9]
Generated Node #0,0: 71:[65, 95, 9] Operation: 4+5=9
Exploring Operation: 95-4=91, Resulting Numbers: [5, 65, 91]
Generated Node #0,1: 71:[5, 65, 91] Operation: 95-4=91
Exploring Operation: 4+65=69, Resulting Numbers: [5, 95, 69]
Generated Node #0,2: 71:[5, 95, 69] Operation: 4+65=69
Exploring Operation: 5+65=70, Resulting Numbers: [4, 95, 70]
Generated Node #0,3: 71:[4, 95, 70] Operation: 5+65=70
Exploring Operation: 4*5=20, Resulting Numbers: [65, 95, 20]
Generated Node #0,4: 71:[65, 95, 20] Operation: 4*5=20
Start Sub Search at level 1: Moving to Node #0,4
Current State: 71:[65, 95, 20], Operations: ['4*5=20']
Exploring Operation: 95-65=30, Resulting Numbers: [20, 30]
Generated Node #0,4,0: 71:[20, 30] Operation: 95-65=30
Exploring Operation: 95+20=115, Resulting Numbers: [65, 115]
Generated Node #0,4,1: 71:[65, 115] Operation: 95+20=115
Exploring Operation: 65+20=85, Resulting Numbers: [95, 85]
Generated Node #0,4,2: 71:[95, 85] Operation: 65+20=85
Exploring Operation: 95-20=75, Resulting Numbers: [65, 75]
Generated Node #0,4,3: 71:[65, 75] Operation: 95-20=75
Exploring Operation: 65-20=45, Resulting Numbers: [95, 45]
Generated Node #0,4,4: 71:[95, 45] Operation: 65-20=45
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 71:[65, 75], Operations: ['4*5=20', '95-20=75']
Exploring Operation: 65+75=140, Resulting Numbers: [140]
140,71 unequal: No Solution
Exploring Operation: 65*75=4875, Resulting Numbers: [4875]
4875,71 unequal: No Solution
Exploring Operation: 75-65=10, Resulting Numbers: [10]
10,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 71:[95, 85], Operations: ['4*5=20', '65+20=85']
Exploring Operation: 95+85=180, Resulting Numbers: [180]
180,71 unequal: No Solution
Exploring Operation: 95*85=8075, Resulting Numbers: [8075]
8075,71 unequal: No Solution
Exploring Operation: 95-85=10, Resulting Numbers: [10]
10,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 71:[65, 115], Operations: ['4*5=20', '95+20=115']
Exploring Operation: 65*115=7475, Resulting Numbers: [7475]
7475,71 unequal: No Solution
Exploring Operation: 65+115=180, Resulting Numbers: [180]
180,71 unequal: No Solution
Exploring Operation: 115-65=50, Resulting Numbers: [50]
50,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 71:[95, 45], Operations: ['4*5=20', '65-20=45']
Exploring Operation: 95*45=4275, Resulting Numbers: [4275]
4275,71 unequal: No Solution
Exploring Operation: 95-45=50, Resulting Numbers: [50]
50,71 unequal: No Solution
Exploring Operation: 95+45=140, Resulting Numbers: [140]
140,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 71:[20, 30], Operations: ['4*5=20', '95-65=30']
Exploring Operation: 20+30=50, Resulting Numbers: [50]
50,71 unequal: No Solution
Exploring Operation: 30-20=10, Resulting Numbers: [10]
10,71 unequal: No Solution
Exploring Operation: 20*30=600, Resulting Numbers: [600]
600,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[65, 95, 9], Operations: ['4+5=9']
Exploring Operation: 65-9=56, Resulting Numbers: [95, 56]
Generated Node #0,0,0: 71:[95, 56] Operation: 65-9=56
Exploring Operation: 95-65=30, Resulting Numbers: [9, 30]
Generated Node #0,0,1: 71:[9, 30] Operation: 95-65=30
Exploring Operation: 95+9=104, Resulting Numbers: [65, 104]
Generated Node #0,0,2: 71:[65, 104] Operation: 95+9=104
Exploring Operation: 65+9=74, Resulting Numbers: [95, 74]
Generated Node #0,0,3: 71:[95, 74] Operation: 65+9=74
Exploring Operation: 95-9=86, Resulting Numbers: [65, 86]
Generated Node #0,0,4: 71:[65, 86] Operation: 95-9=86
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 71:[65, 86], Operations: ['4+5=9', '95-9=86']
Exploring Operation: 86-65=21, Resulting Numbers: [21]
21,71 unequal: No Solution
Exploring Operation: 65+86=151, Resulting Numbers: [151]
151,71 unequal: No Solution
Exploring Operation: 65*86=5590, Resulting Numbers: [5590]
5590,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 71:[95, 74], Operations: ['4+5=9', '65+9=74']
Exploring Operation: 95-74=21, Resulting Numbers: [21]
21,71 unequal: No Solution
Exploring Operation: 95+74=169, Resulting Numbers: [169]
169,71 unequal: No Solution
Exploring Operation: 95*74=7030, Resulting Numbers: [7030]
7030,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 71:[95, 56], Operations: ['4+5=9', '65-9=56']
Exploring Operation: 95-56=39, Resulting Numbers: [39]
39,71 unequal: No Solution
Exploring Operation: 95*56=5320, Resulting Numbers: [5320]
5320,71 unequal: No Solution
Exploring Operation: 95+56=151, Resulting Numbers: [151]
151,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 71:[65, 104], Operations: ['4+5=9', '95+9=104']
Exploring Operation: 65+104=169, Resulting Numbers: [169]
169,71 unequal: No Solution
Exploring Operation: 104-65=39, Resulting Numbers: [39]
39,71 unequal: No Solution
Exploring Operation: 65*104=6760, Resulting Numbers: [6760]
6760,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 71:[9, 30], Operations: ['4+5=9', '95-65=30']
Exploring Operation: 9+30=39, Resulting Numbers: [39]
39,71 unequal: No Solution
Exploring Operation: 30-9=21, Resulting Numbers: [21]
21,71 unequal: No Solution
Exploring Operation: 9*30=270, Resulting Numbers: [270]
270,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 71:[5, 65, 91], Operations: ['95-4=91']
Exploring Operation: 5+91=96, Resulting Numbers: [65, 96]
Generated Node #0,1,0: 71:[65, 96] Operation: 5+91=96
Exploring Operation: 65/5=13, Resulting Numbers: [91, 13]
Generated Node #0,1,1: 71:[91, 13] Operation: 65/5=13
Exploring Operation: 91-5=86, Resulting Numbers: [65, 86]
Generated Node #0,1,2: 71:[65, 86] Operation: 91-5=86
Exploring Operation: 5+65=70, Resulting Numbers: [91, 70]
Generated Node #0,1,3: 71:[91, 70] Operation: 5+65=70
Exploring Operation: 65-5=60, Resulting Numbers: [91, 60]
Generated Node #0,1,4: 71:[91, 60] Operation: 65-5=60
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 71:[65, 86], Operations: ['95-4=91', '91-5=86']
Exploring Operation: 65*86=5590, Resulting Numbers: [5590]
5590,71 unequal: No Solution
Exploring Operation: 86-65=21, Resulting Numbers: [21]
21,71 unequal: No Solution
Exploring Operation: 65+86=151, Resulting Numbers: [151]
151,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 71:[91, 70], Operations: ['95-4=91', '5+65=70']
Exploring Operation: 91-70=21, Resulting Numbers: [21]
21,71 unequal: No Solution
Exploring Operation: 91*70=6370, Resulting Numbers: [6370]
6370,71 unequal: No Solution
Exploring Operation: 91+70=161, Resulting Numbers: [161]
161,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 71:[65, 96], Operations: ['95-4=91', '5+91=96']
Exploring Operation: 65+96=161, Resulting Numbers: [161]
161,71 unequal: No Solution
Exploring Operation: 96-65=31, Resulting Numbers: [31]
31,71 unequal: No Solution
Exploring Operation: 65*96=6240, Resulting Numbers: [6240]
6240,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 71:[91, 60], Operations: ['95-4=91', '65-5=60']
Exploring Operation: 91*60=5460, Resulting Numbers: [5460]
5460,71 unequal: No Solution
Exploring Operation: 91-60=31, Resulting Numbers: [31]
31,71 unequal: No Solution
Exploring Operation: 91+60=151, Resulting Numbers: [151]
151,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 71:[91, 13], Operations: ['95-4=91', '65/5=13']
Exploring Operation: 91-13=78, Resulting Numbers: [78]
78,71 unequal: No Solution
Exploring Operation: 91/13=7, Resulting Numbers: [7]
7,71 unequal: No Solution
Exploring Operation: 91*13=1183, Resulting Numbers: [1183]
1183,71 unequal: No Solution
Exploring Operation: 91+13=104, Resulting Numbers: [104]
104,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 71:[5, 95, 69], Operations: ['4+65=69']
Exploring Operation: 5+95=100, Resulting Numbers: [69, 100]
Generated Node #0,2,0: 71:[69, 100] Operation: 5+95=100
Exploring Operation: 5+69=74, Resulting Numbers: [95, 74]
Generated Node #0,2,1: 71:[95, 74] Operation: 5+69=74
Exploring Operation: 95-5=90, Resulting Numbers: [69, 90]
Generated Node #0,2,2: 71:[69, 90] Operation: 95-5=90
Exploring Operation: 69-5=64, Resulting Numbers: [95, 64]
Generated Node #0,2,3: 71:[95, 64] Operation: 69-5=64
Exploring Operation: 95/5=19, Resulting Numbers: [69, 19]
Generated Node #0,2,4: 71:[69, 19] Operation: 95/5=19
Moving to Node #0,2,2
Current State: 71:[69, 90], Operations: ['4+65=69', '95-5=90']
Exploring Operation: 69*90=6210, Resulting Numbers: [6210]
6210,71 unequal: No Solution
Exploring Operation: 69+90=159, Resulting Numbers: [159]
159,71 unequal: No Solution
Exploring Operation: 90-69=21, Resulting Numbers: [21]
21,71 unequal: No Solution
Moving to Node #0,2,1
Current State: 71:[95, 74], Operations: ['4+65=69', '5+69=74']
Exploring Operation: 95*74=7030, Resulting Numbers: [7030]
7030,71 unequal: No Solution
Exploring Operation: 95+74=169, Resulting Numbers: [169]
169,71 unequal: No Solution
Exploring Operation: 95-74=21, Resulting Numbers: [21]
21,71 unequal: No Solution
Moving to Node #0,2,0
Current State: 71:[69, 100], Operations: ['4+65=69', '5+95=100']
Exploring Operation: 100-69=31, Resulting Numbers: [31]
31,71 unequal: No Solution
Exploring Operation: 69*100=6900, Resulting Numbers: [6900]
6900,71 unequal: No Solution
Exploring Operation: 69+100=169, Resulting Numbers: [169]
169,71 unequal: No Solution
Moving to Node #0,2,3
Current State: 71:[95, 64], Operations: ['4+65=69', '69-5=64']
Exploring Operation: 95-64=31, Resulting Numbers: [31]
31,71 unequal: No Solution
Exploring Operation: 95+64=159, Resulting Numbers: [159]
159,71 unequal: No Solution
Exploring Operation: 95*64=6080, Resulting Numbers: [6080]
6080,71 unequal: No Solution
Moving to Node #0,2,4
Current State: 71:[69, 19], Operations: ['4+65=69', '95/5=19']
Exploring Operation: 69+19=88, Resulting Numbers: [88]
88,71 unequal: No Solution
Exploring Operation: 69-19=50, Resulting Numbers: [50]
50,71 unequal: No Solution
Exploring Operation: 69*19=1311, Resulting Numbers: [1311]
1311,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 71:[4, 95, 70], Operations: ['5+65=70']
Exploring Operation: 4+70=74, Resulting Numbers: [95, 74]
Generated Node #0,3,0: 71:[95, 74] Operation: 4+70=74
Exploring Operation: 95-4=91, Resulting Numbers: [70, 91]
Generated Node #0,3,1: 71:[70, 91] Operation: 95-4=91
Exploring Operation: 95-70=25, Resulting Numbers: [4, 25]
Generated Node #0,3,2: 71:[4, 25] Operation: 95-70=25
Exploring Operation: 4+95=99, Resulting Numbers: [70, 99]
Generated Node #0,3,3: 71:[70, 99] Operation: 4+95=99
Exploring Operation: 70-4=66, Resulting Numbers: [95, 66]
Generated Node #0,3,4: 71:[95, 66] Operation: 70-4=66
Moving to Node #0,3,1
Current State: 71:[70, 91], Operations: ['5+65=70', '95-4=91']
Exploring Operation: 70+91=161, Resulting Numbers: [161]
161,71 unequal: No Solution
Exploring Operation: 70*91=6370, Resulting Numbers: [6370]
6370,71 unequal: No Solution
Exploring Operation: 91-70=21, Resulting Numbers: [21]
21,71 unequal: No Solution
Moving to Node #0,3,0
Current State: 71:[95, 74], Operations: ['5+65=70', '4+70=74']
Exploring Operation: 95+74=169, Resulting Numbers: [169]
169,71 unequal: No Solution
Exploring Operation: 95*74=7030, Resulting Numbers: [7030]
7030,71 unequal: No Solution
Exploring Operation: 95-74=21, Resulting Numbers: [21]
21,71 unequal: No Solution
Moving to Node #0,3,3
Current State: 71:[70, 99], Operations: ['5+65=70', '4+95=99']
Exploring Operation: 70*99=6930, Resulting Numbers: [6930]
6930,71 unequal: No Solution
Exploring Operation: 99-70=29, Resulting Numbers: [29]
29,71 unequal: No Solution
Exploring Operation: 70+99=169, Resulting Numbers: [169]
169,71 unequal: No Solution
Moving to Node #0,3,4
Current State: 71:[95, 66], Operations: ['5+65=70', '70-4=66']
Exploring Operation: 95-66=29, Resulting Numbers: [29]
29,71 unequal: No Solution
Exploring Operation: 95+66=161, Resulting Numbers: [161]
161,71 unequal: No Solution
Exploring Operation: 95*66=6270, Resulting Numbers: [6270]
6270,71 unequal: No Solution
Moving to Node #0,3,2
Current State: 71:[4, 25], Operations: ['5+65=70', '95-70=25']
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,71 unequal: No Solution
Exploring Operation: 4+25=29, Resulting Numbers: [29]
29,71 unequal: No Solution
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
19,
38,
95,
55
] | 80 | [
"38/19=2",
"95-55=40",
"2*40=80"
] | Current State: 80:[19, 38, 95, 55], Operations: []
Exploring Operation: 38/19=2, Resulting Numbers: [95, 55, 2]
Generated Node #2: [95, 55, 2] from Operation: 38/19=2
Current State: 80:[95, 55, 2], Operations: ['38/19=2']
Exploring Operation: 95-55=40, Resulting Numbers: [2, 40]
Generated Node #3: [2, 40] from Operation: 95-55=40
Current State: 80:[2, 40], Operations: ['38/19=2', '95-55=40']
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[19, 38, 95, 55], Operations: []
Exploring Operation: 95-55=40, Resulting Numbers: [19, 38, 40]
Generated Node #0,0: 80:[19, 38, 40] Operation: 95-55=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[19, 38, 40], Operations: ['95-55=40']
Exploring Operation: 38/19=2, Resulting Numbers: [40, 2]
Generated Node #0,0,0: 80:[40, 2] Operation: 38/19=2
Moving to Node #0,0,0
Current State: 80:[40, 2], Operations: ['95-55=40', '38/19=2']
Exploring Operation: 40*2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[19, 38, 95, 55], Operations: []
Exploring Operation: 95-55=40, Resulting Numbers: [19, 38, 40]
Generated Node #0,0: 80:[19, 38, 40] Operation: 95-55=40
Moving to Node #0,0
Current State: 80:[19, 38, 40], Operations: ['95-55=40']
Exploring Operation: 38/19=2, Resulting Numbers: [40, 2]
Generated Node #0,0,0: 80:[40, 2] Operation: 38/19=2
Moving to Node #0,0,0
Current State: 80:[40, 2], Operations: ['95-55=40', '38/19=2']
Exploring Operation: 40*2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
21,
58,
4,
84
] | 58 | [
"21+58=79",
"84/4=21",
"79-21=58"
] | Current State: 58:[21, 58, 4, 84], Operations: []
Exploring Operation: 21+58=79, Resulting Numbers: [4, 84, 79]
Generated Node #2: [4, 84, 79] from Operation: 21+58=79
Current State: 58:[4, 84, 79], Operations: ['21+58=79']
Exploring Operation: 84/4=21, Resulting Numbers: [79, 21]
Generated Node #3: [79, 21] from Operation: 84/4=21
Current State: 58:[79, 21], Operations: ['21+58=79', '84/4=21']
Exploring Operation: 79-21=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[21, 58, 4, 84], Operations: []
Exploring Operation: 84/4=21, Resulting Numbers: [21, 58, 21]
Generated Node #0,0: 58:[21, 58, 21] Operation: 84/4=21
Exploring Operation: 84-58=26, Resulting Numbers: [21, 4, 26]
Generated Node #0,1: 58:[21, 4, 26] Operation: 84-58=26
Exploring Operation: 84-21=63, Resulting Numbers: [58, 4, 63]
Generated Node #0,2: 58:[58, 4, 63] Operation: 84-21=63
Exploring Operation: 84/21=4, Resulting Numbers: [58, 4, 4]
Generated Node #0,3: 58:[58, 4, 4] Operation: 84/21=4
Start Sub Search at level 1: Moving to Node #0,3
Current State: 58:[58, 4, 4], Operations: ['84/21=4']
Exploring Operation: 58+4=62, Resulting Numbers: [4, 62]
Generated Node #0,3,0: 58:[4, 62] Operation: 58+4=62
Exploring Operation: 4/4=1, Resulting Numbers: [58, 1]
Generated Node #0,3,1: 58:[58, 1] Operation: 4/4=1
Exploring Operation: 4-4=0, Resulting Numbers: [58, 0]
Generated Node #0,3,2: 58:[58, 0] Operation: 4-4=0
Exploring Operation: 58-4=54, Resulting Numbers: [4, 54]
Generated Node #0,3,3: 58:[4, 54] Operation: 58-4=54
Moving to Node #0,3,1
Current State: 58:[58, 1], Operations: ['84/21=4', '4/4=1']
Exploring Operation: 58/1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[21, 58, 4, 84], Operations: []
Exploring Operation: 84/21=4, Resulting Numbers: [58, 4, 4]
Generated Node #0,3: 58:[58, 4, 4] Operation: 84/21=4
Moving to Node #0,3
Current State: 58:[58, 4, 4], Operations: ['84/21=4']
Exploring Operation: 4/4=1, Resulting Numbers: [58, 1]
Generated Node #0,3,1: 58:[58, 1] Operation: 4/4=1
Moving to Node #0,3,1
Current State: 58:[58, 1], Operations: ['84/21=4', '4/4=1']
Exploring Operation: 58/1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
10,
33,
19,
63
] | 67 | [
"33-10=23",
"63-19=44",
"23+44=67"
] | Current State: 67:[10, 33, 19, 63], Operations: []
Exploring Operation: 33-10=23, Resulting Numbers: [19, 63, 23]
Generated Node #2: [19, 63, 23] from Operation: 33-10=23
Current State: 67:[19, 63, 23], Operations: ['33-10=23']
Exploring Operation: 63-19=44, Resulting Numbers: [23, 44]
Generated Node #3: [23, 44] from Operation: 63-19=44
Current State: 67:[23, 44], Operations: ['33-10=23', '63-19=44']
Exploring Operation: 23+44=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[10, 33, 19, 63], Operations: []
Exploring Operation: 10+33=43, Resulting Numbers: [19, 63, 43]
Generated Node #0,0: 67:[19, 63, 43] Operation: 10+33=43
Exploring Operation: 10+19=29, Resulting Numbers: [33, 63, 29]
Generated Node #0,1: 67:[33, 63, 29] Operation: 10+19=29
Exploring Operation: 33+19=52, Resulting Numbers: [10, 63, 52]
Generated Node #0,2: 67:[10, 63, 52] Operation: 33+19=52
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[19, 63, 43], Operations: ['10+33=43']
Exploring Operation: 63-19=44, Resulting Numbers: [43, 44]
Generated Node #0,0,0: 67:[43, 44] Operation: 63-19=44
Exploring Operation: 19+63=82, Resulting Numbers: [43, 82]
Generated Node #0,0,1: 67:[43, 82] Operation: 19+63=82
Exploring Operation: 19+43=62, Resulting Numbers: [63, 62]
Generated Node #0,0,2: 67:[63, 62] Operation: 19+43=62
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 67:[63, 62], Operations: ['10+33=43', '19+43=62']
Exploring Operation: 63-62=1, Resulting Numbers: [1]
1,67 unequal: No Solution
Exploring Operation: 63+62=125, Resulting Numbers: [125]
125,67 unequal: No Solution
Exploring Operation: 63*62=3906, Resulting Numbers: [3906]
3906,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 67:[43, 82], Operations: ['10+33=43', '19+63=82']
Exploring Operation: 43*82=3526, Resulting Numbers: [3526]
3526,67 unequal: No Solution
Exploring Operation: 43+82=125, Resulting Numbers: [125]
125,67 unequal: No Solution
Exploring Operation: 82-43=39, Resulting Numbers: [39]
39,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 67:[43, 44], Operations: ['10+33=43', '63-19=44']
Exploring Operation: 44-43=1, Resulting Numbers: [1]
1,67 unequal: No Solution
Exploring Operation: 43+44=87, Resulting Numbers: [87]
87,67 unequal: No Solution
Exploring Operation: 43*44=1892, Resulting Numbers: [1892]
1892,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[33, 63, 29], Operations: ['10+19=29']
Exploring Operation: 33+63=96, Resulting Numbers: [29, 96]
Generated Node #0,1,0: 67:[29, 96] Operation: 33+63=96
Exploring Operation: 63+29=92, Resulting Numbers: [33, 92]
Generated Node #0,1,1: 67:[33, 92] Operation: 63+29=92
Exploring Operation: 33+29=62, Resulting Numbers: [63, 62]
Generated Node #0,1,2: 67:[63, 62] Operation: 33+29=62
Moving to Node #0,1,2
Current State: 67:[63, 62], Operations: ['10+19=29', '33+29=62']
Exploring Operation: 63-62=1, Resulting Numbers: [1]
1,67 unequal: No Solution
Exploring Operation: 63+62=125, Resulting Numbers: [125]
125,67 unequal: No Solution
Exploring Operation: 63*62=3906, Resulting Numbers: [3906]
3906,67 unequal: No Solution
Moving to Node #0,1,1
Current State: 67:[33, 92], Operations: ['10+19=29', '63+29=92']
Exploring Operation: 33+92=125, Resulting Numbers: [125]
125,67 unequal: No Solution
Exploring Operation: 33*92=3036, Resulting Numbers: [3036]
3036,67 unequal: No Solution
Exploring Operation: 92-33=59, Resulting Numbers: [59]
59,67 unequal: No Solution
Moving to Node #0,1,0
Current State: 67:[29, 96], Operations: ['10+19=29', '33+63=96']
Exploring Operation: 29+96=125, Resulting Numbers: [125]
125,67 unequal: No Solution
Exploring Operation: 29*96=2784, Resulting Numbers: [2784]
2784,67 unequal: No Solution
Exploring Operation: 96-29=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[10, 33, 19, 63], Operations: []
Exploring Operation: 10+19=29, Resulting Numbers: [33, 63, 29]
Generated Node #0,1: 67:[33, 63, 29] Operation: 10+19=29
Moving to Node #0,1
Current State: 67:[33, 63, 29], Operations: ['10+19=29']
Exploring Operation: 33+63=96, Resulting Numbers: [29, 96]
Generated Node #0,1,0: 67:[29, 96] Operation: 33+63=96
Moving to Node #0,1,0
Current State: 67:[29, 96], Operations: ['10+19=29', '33+63=96']
Exploring Operation: 96-29=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 1
| 0.97309 | hs_3 | sum_heuristic |
[
95,
46,
74,
3
] | 31 | [
"95+74=169",
"46*3=138",
"169-138=31"
] | Current State: 31:[95, 46, 74, 3], Operations: []
Exploring Operation: 95+74=169, Resulting Numbers: [46, 3, 169]
Generated Node #2: [46, 3, 169] from Operation: 95+74=169
Current State: 31:[46, 3, 169], Operations: ['95+74=169']
Exploring Operation: 46*3=138, Resulting Numbers: [169, 138]
Generated Node #3: [169, 138] from Operation: 46*3=138
Current State: 31:[169, 138], Operations: ['95+74=169', '46*3=138']
Exploring Operation: 169-138=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[95, 46, 74, 3], Operations: []
Exploring Operation: 95-74=21, Resulting Numbers: [46, 3, 21]
Generated Node #0,0: 31:[46, 3, 21] Operation: 95-74=21
Exploring Operation: 74-46=28, Resulting Numbers: [95, 3, 28]
Generated Node #0,1: 31:[95, 3, 28] Operation: 74-46=28
Exploring Operation: 95-46=49, Resulting Numbers: [74, 3, 49]
Generated Node #0,2: 31:[74, 3, 49] Operation: 95-46=49
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[46, 3, 21], Operations: ['95-74=21']
Exploring Operation: 46+3=49, Resulting Numbers: [21, 49]
Generated Node #0,0,0: 31:[21, 49] Operation: 46+3=49
Exploring Operation: 3+21=24, Resulting Numbers: [46, 24]
Generated Node #0,0,1: 31:[46, 24] Operation: 3+21=24
Exploring Operation: 46-3=43, Resulting Numbers: [21, 43]
Generated Node #0,0,2: 31:[21, 43] Operation: 46-3=43
Moving to Node #0,0,1
Current State: 31:[46, 24], Operations: ['95-74=21', '3+21=24']
Exploring Operation: 46*24=1104, Resulting Numbers: [1104]
1104,31 unequal: No Solution
Exploring Operation: 46+24=70, Resulting Numbers: [70]
70,31 unequal: No Solution
Exploring Operation: 46-24=22, Resulting Numbers: [22]
22,31 unequal: No Solution
Moving to Node #0,0,2
Current State: 31:[21, 43], Operations: ['95-74=21', '46-3=43']
Exploring Operation: 21*43=903, Resulting Numbers: [903]
903,31 unequal: No Solution
Exploring Operation: 43-21=22, Resulting Numbers: [22]
22,31 unequal: No Solution
Exploring Operation: 21+43=64, Resulting Numbers: [64]
64,31 unequal: No Solution
Moving to Node #0,0,0
Current State: 31:[21, 49], Operations: ['95-74=21', '46+3=49']
Exploring Operation: 49-21=28, Resulting Numbers: [28]
28,31 unequal: No Solution
Exploring Operation: 21+49=70, Resulting Numbers: [70]
70,31 unequal: No Solution
Exploring Operation: 21*49=1029, Resulting Numbers: [1029]
1029,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 31:[74, 3, 49], Operations: ['95-46=49']
Exploring Operation: 49-3=46, Resulting Numbers: [74, 46]
Generated Node #0,2,0: 31:[74, 46] Operation: 49-3=46
Exploring Operation: 74-3=71, Resulting Numbers: [49, 71]
Generated Node #0,2,1: 31:[49, 71] Operation: 74-3=71
Exploring Operation: 74-49=25, Resulting Numbers: [3, 25]
Generated Node #0,2,2: 31:[3, 25] Operation: 74-49=25
Moving to Node #0,2,2
Current State: 31:[3, 25], Operations: ['95-46=49', '74-49=25']
Exploring Operation: 3*25=75, Resulting Numbers: [75]
75,31 unequal: No Solution
Exploring Operation: 3+25=28, Resulting Numbers: [28]
28,31 unequal: No Solution
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,31 unequal: No Solution
Moving to Node #0,2,0
Current State: 31:[74, 46], Operations: ['95-46=49', '49-3=46']
Exploring Operation: 74+46=120, Resulting Numbers: [120]
120,31 unequal: No Solution
Exploring Operation: 74*46=3404, Resulting Numbers: [3404]
3404,31 unequal: No Solution
Exploring Operation: 74-46=28, Resulting Numbers: [28]
28,31 unequal: No Solution
Moving to Node #0,2,1
Current State: 31:[49, 71], Operations: ['95-46=49', '74-3=71']
Exploring Operation: 49+71=120, Resulting Numbers: [120]
120,31 unequal: No Solution
Exploring Operation: 49*71=3479, Resulting Numbers: [3479]
3479,31 unequal: No Solution
Exploring Operation: 71-49=22, Resulting Numbers: [22]
22,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 31:[95, 3, 28], Operations: ['74-46=28']
Exploring Operation: 95-28=67, Resulting Numbers: [3, 67]
Generated Node #0,1,0: 31:[3, 67] Operation: 95-28=67
Exploring Operation: 3+28=31, Resulting Numbers: [95, 31]
Generated Node #0,1,1: 31:[95, 31] Operation: 3+28=31
Exploring Operation: 95-3=92, Resulting Numbers: [28, 92]
Generated Node #0,1,2: 31:[28, 92] Operation: 95-3=92
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 31:[3, 67], Operations: ['74-46=28', '95-28=67']
Exploring Operation: 3*67=201, Resulting Numbers: [201]
201,31 unequal: No Solution
Exploring Operation: 3+67=70, Resulting Numbers: [70]
70,31 unequal: No Solution
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 31:[95, 31], Operations: ['74-46=28', '3+28=31']
Exploring Operation: 95*31=2945, Resulting Numbers: [2945]
2945,31 unequal: No Solution
Exploring Operation: 95-31=64, Resulting Numbers: [64]
64,31 unequal: No Solution
Exploring Operation: 95+31=126, Resulting Numbers: [126]
126,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 31:[28, 92], Operations: ['74-46=28', '95-3=92']
Exploring Operation: 28+92=120, Resulting Numbers: [120]
120,31 unequal: No Solution
Exploring Operation: 92-28=64, Resulting Numbers: [64]
64,31 unequal: No Solution
Exploring Operation: 28*92=2576, Resulting Numbers: [2576]
2576,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
17,
13,
58,
53
] | 82 | [
"58-53=5",
"13*5=65",
"17+65=82"
] | Current State: 82:[17, 13, 58, 53], Operations: []
Exploring Operation: 58-53=5, Resulting Numbers: [17, 13, 5]
Generated Node #2: [17, 13, 5] from Operation: 58-53=5
Current State: 82:[17, 13, 5], Operations: ['58-53=5']
Exploring Operation: 13*5=65, Resulting Numbers: [17, 65]
Generated Node #3: [17, 65] from Operation: 13*5=65
Current State: 82:[17, 65], Operations: ['58-53=5', '13*5=65']
Exploring Operation: 17+65=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[17, 13, 58, 53], Operations: []
Exploring Operation: 58-53=5, Resulting Numbers: [17, 13, 5]
Generated Node #0,0: 82:[17, 13, 5] Operation: 58-53=5
Exploring Operation: 17-13=4, Resulting Numbers: [58, 53, 4]
Generated Node #0,1: 82:[58, 53, 4] Operation: 17-13=4
Exploring Operation: 58-17=41, Resulting Numbers: [13, 53, 41]
Generated Node #0,2: 82:[13, 53, 41] Operation: 58-17=41
Exploring Operation: 17+58=75, Resulting Numbers: [13, 53, 75]
Generated Node #0,3: 82:[13, 53, 75] Operation: 17+58=75
Exploring Operation: 58-13=45, Resulting Numbers: [17, 53, 45]
Generated Node #0,4: 82:[17, 53, 45] Operation: 58-13=45
Start Sub Search at level 1: Moving to Node #0,2
Current State: 82:[13, 53, 41], Operations: ['58-17=41']
Exploring Operation: 13+41=54, Resulting Numbers: [53, 54]
Generated Node #0,2,0: 82:[53, 54] Operation: 13+41=54
Exploring Operation: 53-13=40, Resulting Numbers: [41, 40]
Generated Node #0,2,1: 82:[41, 40] Operation: 53-13=40
Exploring Operation: 53+41=94, Resulting Numbers: [13, 94]
Generated Node #0,2,2: 82:[13, 94] Operation: 53+41=94
Exploring Operation: 53-41=12, Resulting Numbers: [13, 12]
Generated Node #0,2,3: 82:[13, 12] Operation: 53-41=12
Exploring Operation: 13+53=66, Resulting Numbers: [41, 66]
Generated Node #0,2,4: 82:[41, 66] Operation: 13+53=66
Moving to Node #0,2,1
Current State: 82:[41, 40], Operations: ['58-17=41', '53-13=40']
Exploring Operation: 41+40=81, Resulting Numbers: [81]
81,82 unequal: No Solution
Exploring Operation: 41*40=1640, Resulting Numbers: [1640]
1640,82 unequal: No Solution
Exploring Operation: 41-40=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Moving to Node #0,2,4
Current State: 82:[41, 66], Operations: ['58-17=41', '13+53=66']
Exploring Operation: 41+66=107, Resulting Numbers: [107]
107,82 unequal: No Solution
Exploring Operation: 66-41=25, Resulting Numbers: [25]
25,82 unequal: No Solution
Exploring Operation: 41*66=2706, Resulting Numbers: [2706]
2706,82 unequal: No Solution
Moving to Node #0,2,3
Current State: 82:[13, 12], Operations: ['58-17=41', '53-41=12']
Exploring Operation: 13*12=156, Resulting Numbers: [156]
156,82 unequal: No Solution
Exploring Operation: 13+12=25, Resulting Numbers: [25]
25,82 unequal: No Solution
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Moving to Node #0,2,2
Current State: 82:[13, 94], Operations: ['58-17=41', '53+41=94']
Exploring Operation: 13*94=1222, Resulting Numbers: [1222]
1222,82 unequal: No Solution
Exploring Operation: 13+94=107, Resulting Numbers: [107]
107,82 unequal: No Solution
Exploring Operation: 94-13=81, Resulting Numbers: [81]
81,82 unequal: No Solution
Moving to Node #0,2,0
Current State: 82:[53, 54], Operations: ['58-17=41', '13+41=54']
Exploring Operation: 53*54=2862, Resulting Numbers: [2862]
2862,82 unequal: No Solution
Exploring Operation: 54-53=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Exploring Operation: 53+54=107, Resulting Numbers: [107]
107,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[17, 13, 5], Operations: ['58-53=5']
Exploring Operation: 13-5=8, Resulting Numbers: [17, 8]
Generated Node #0,0,0: 82:[17, 8] Operation: 13-5=8
Exploring Operation: 17*5=85, Resulting Numbers: [13, 85]
Generated Node #0,0,1: 82:[13, 85] Operation: 17*5=85
Exploring Operation: 17-5=12, Resulting Numbers: [13, 12]
Generated Node #0,0,2: 82:[13, 12] Operation: 17-5=12
Exploring Operation: 17-13=4, Resulting Numbers: [5, 4]
Generated Node #0,0,3: 82:[5, 4] Operation: 17-13=4
Exploring Operation: 17+13=30, Resulting Numbers: [5, 30]
Generated Node #0,0,4: 82:[5, 30] Operation: 17+13=30
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 82:[5, 4], Operations: ['58-53=5', '17-13=4']
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,82 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 82:[13, 85], Operations: ['58-53=5', '17*5=85']
Exploring Operation: 13+85=98, Resulting Numbers: [98]
98,82 unequal: No Solution
Exploring Operation: 85-13=72, Resulting Numbers: [72]
72,82 unequal: No Solution
Exploring Operation: 13*85=1105, Resulting Numbers: [1105]
1105,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 82:[5, 30], Operations: ['58-53=5', '17+13=30']
Exploring Operation: 5+30=35, Resulting Numbers: [35]
35,82 unequal: No Solution
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,82 unequal: No Solution
Exploring Operation: 5*30=150, Resulting Numbers: [150]
150,82 unequal: No Solution
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 82:[17, 8], Operations: ['58-53=5', '13-5=8']
Exploring Operation: 17+8=25, Resulting Numbers: [25]
25,82 unequal: No Solution
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,82 unequal: No Solution
Exploring Operation: 17*8=136, Resulting Numbers: [136]
136,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 82:[13, 12], Operations: ['58-53=5', '17-5=12']
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Exploring Operation: 13+12=25, Resulting Numbers: [25]
25,82 unequal: No Solution
Exploring Operation: 13*12=156, Resulting Numbers: [156]
156,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 82:[13, 53, 75], Operations: ['17+58=75']
Exploring Operation: 53-13=40, Resulting Numbers: [75, 40]
Generated Node #0,3,0: 82:[75, 40] Operation: 53-13=40
Exploring Operation: 13+75=88, Resulting Numbers: [53, 88]
Generated Node #0,3,1: 82:[53, 88] Operation: 13+75=88
Exploring Operation: 75-13=62, Resulting Numbers: [53, 62]
Generated Node #0,3,2: 82:[53, 62] Operation: 75-13=62
Exploring Operation: 13+53=66, Resulting Numbers: [75, 66]
Generated Node #0,3,3: 82:[75, 66] Operation: 13+53=66
Exploring Operation: 75-53=22, Resulting Numbers: [13, 22]
Generated Node #0,3,4: 82:[13, 22] Operation: 75-53=22
Moving to Node #0,3,0
Current State: 82:[75, 40], Operations: ['17+58=75', '53-13=40']
Exploring Operation: 75-40=35, Resulting Numbers: [35]
35,82 unequal: No Solution
Exploring Operation: 75*40=3000, Resulting Numbers: [3000]
3000,82 unequal: No Solution
Exploring Operation: 75+40=115, Resulting Numbers: [115]
115,82 unequal: No Solution
Moving to Node #0,3,1
Current State: 82:[53, 88], Operations: ['17+58=75', '13+75=88']
Exploring Operation: 53+88=141, Resulting Numbers: [141]
141,82 unequal: No Solution
Exploring Operation: 53*88=4664, Resulting Numbers: [4664]
4664,82 unequal: No Solution
Exploring Operation: 88-53=35, Resulting Numbers: [35]
35,82 unequal: No Solution
Moving to Node #0,3,3
Current State: 82:[75, 66], Operations: ['17+58=75', '13+53=66']
Exploring Operation: 75+66=141, Resulting Numbers: [141]
141,82 unequal: No Solution
Exploring Operation: 75-66=9, Resulting Numbers: [9]
9,82 unequal: No Solution
Exploring Operation: 75*66=4950, Resulting Numbers: [4950]
4950,82 unequal: No Solution
Moving to Node #0,3,4
Current State: 82:[13, 22], Operations: ['17+58=75', '75-53=22']
Exploring Operation: 13+22=35, Resulting Numbers: [35]
35,82 unequal: No Solution
Exploring Operation: 13*22=286, Resulting Numbers: [286]
286,82 unequal: No Solution
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,82 unequal: No Solution
Moving to Node #0,3,2
Current State: 82:[53, 62], Operations: ['17+58=75', '75-13=62']
Exploring Operation: 62-53=9, Resulting Numbers: [9]
9,82 unequal: No Solution
Exploring Operation: 53+62=115, Resulting Numbers: [115]
115,82 unequal: No Solution
Exploring Operation: 53*62=3286, Resulting Numbers: [3286]
3286,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[58, 53, 4], Operations: ['17-13=4']
Exploring Operation: 58+53=111, Resulting Numbers: [4, 111]
Generated Node #0,1,0: 82:[4, 111] Operation: 58+53=111
Exploring Operation: 58+4=62, Resulting Numbers: [53, 62]
Generated Node #0,1,1: 82:[53, 62] Operation: 58+4=62
Exploring Operation: 58-53=5, Resulting Numbers: [4, 5]
Generated Node #0,1,2: 82:[4, 5] Operation: 58-53=5
Exploring Operation: 58-4=54, Resulting Numbers: [53, 54]
Generated Node #0,1,3: 82:[53, 54] Operation: 58-4=54
Exploring Operation: 53-4=49, Resulting Numbers: [58, 49]
Generated Node #0,1,4: 82:[58, 49] Operation: 53-4=49
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 82:[4, 5], Operations: ['17-13=4', '58-53=5']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,82 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 82:[53, 54], Operations: ['17-13=4', '58-4=54']
Exploring Operation: 53*54=2862, Resulting Numbers: [2862]
2862,82 unequal: No Solution
Exploring Operation: 54-53=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Exploring Operation: 53+54=107, Resulting Numbers: [107]
107,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 82:[58, 49], Operations: ['17-13=4', '53-4=49']
Exploring Operation: 58+49=107, Resulting Numbers: [107]
107,82 unequal: No Solution
Exploring Operation: 58*49=2842, Resulting Numbers: [2842]
2842,82 unequal: No Solution
Exploring Operation: 58-49=9, Resulting Numbers: [9]
9,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 82:[4, 111], Operations: ['17-13=4', '58+53=111']
Exploring Operation: 4*111=444, Resulting Numbers: [444]
444,82 unequal: No Solution
Exploring Operation: 4+111=115, Resulting Numbers: [115]
115,82 unequal: No Solution
Exploring Operation: 111-4=107, Resulting Numbers: [107]
107,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 82:[53, 62], Operations: ['17-13=4', '58+4=62']
Exploring Operation: 53+62=115, Resulting Numbers: [115]
115,82 unequal: No Solution
Exploring Operation: 53*62=3286, Resulting Numbers: [3286]
3286,82 unequal: No Solution
Exploring Operation: 62-53=9, Resulting Numbers: [9]
9,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 82:[17, 53, 45], Operations: ['58-13=45']
Exploring Operation: 53-17=36, Resulting Numbers: [45, 36]
Generated Node #0,4,0: 82:[45, 36] Operation: 53-17=36
Exploring Operation: 53+45=98, Resulting Numbers: [17, 98]
Generated Node #0,4,1: 82:[17, 98] Operation: 53+45=98
Exploring Operation: 17+53=70, Resulting Numbers: [45, 70]
Generated Node #0,4,2: 82:[45, 70] Operation: 17+53=70
Exploring Operation: 45-17=28, Resulting Numbers: [53, 28]
Generated Node #0,4,3: 82:[53, 28] Operation: 45-17=28
Exploring Operation: 53-45=8, Resulting Numbers: [17, 8]
Generated Node #0,4,4: 82:[17, 8] Operation: 53-45=8
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 82:[45, 36], Operations: ['58-13=45', '53-17=36']
Exploring Operation: 45-36=9, Resulting Numbers: [9]
9,82 unequal: No Solution
Exploring Operation: 45*36=1620, Resulting Numbers: [1620]
1620,82 unequal: No Solution
Exploring Operation: 45+36=81, Resulting Numbers: [81]
81,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 82:[45, 70], Operations: ['58-13=45', '17+53=70']
Exploring Operation: 45*70=3150, Resulting Numbers: [3150]
3150,82 unequal: No Solution
Exploring Operation: 70-45=25, Resulting Numbers: [25]
25,82 unequal: No Solution
Exploring Operation: 45+70=115, Resulting Numbers: [115]
115,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 82:[17, 8], Operations: ['58-13=45', '53-45=8']
Exploring Operation: 17*8=136, Resulting Numbers: [136]
136,82 unequal: No Solution
Exploring Operation: 17+8=25, Resulting Numbers: [25]
25,82 unequal: No Solution
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 82:[53, 28], Operations: ['58-13=45', '45-17=28']
Exploring Operation: 53+28=81, Resulting Numbers: [81]
81,82 unequal: No Solution
Exploring Operation: 53-28=25, Resulting Numbers: [25]
25,82 unequal: No Solution
Exploring Operation: 53*28=1484, Resulting Numbers: [1484]
1484,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 82:[17, 98], Operations: ['58-13=45', '53+45=98']
Exploring Operation: 17*98=1666, Resulting Numbers: [1666]
1666,82 unequal: No Solution
Exploring Operation: 17+98=115, Resulting Numbers: [115]
115,82 unequal: No Solution
Exploring Operation: 98-17=81, Resulting Numbers: [81]
81,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
73,
71,
72,
62
] | 11 | [
"73-62=11",
"72-71=1",
"11*1=11"
] | Current State: 11:[73, 71, 72, 62], Operations: []
Exploring Operation: 73-62=11, Resulting Numbers: [71, 72, 11]
Generated Node #2: [71, 72, 11] from Operation: 73-62=11
Current State: 11:[71, 72, 11], Operations: ['73-62=11']
Exploring Operation: 72-71=1, Resulting Numbers: [11, 1]
Generated Node #3: [11, 1] from Operation: 72-71=1
Current State: 11:[11, 1], Operations: ['73-62=11', '72-71=1']
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[73, 71, 72, 62], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [72, 62, 2]
Generated Node #0,0: 11:[72, 62, 2] Operation: 73-71=2
Exploring Operation: 72-62=10, Resulting Numbers: [73, 71, 10]
Generated Node #0,1: 11:[73, 71, 10] Operation: 72-62=10
Exploring Operation: 72-71=1, Resulting Numbers: [73, 62, 1]
Generated Node #0,2: 11:[73, 62, 1] Operation: 72-71=1
Exploring Operation: 73-72=1, Resulting Numbers: [71, 62, 1]
Generated Node #0,3: 11:[71, 62, 1] Operation: 73-72=1
Exploring Operation: 73-62=11, Resulting Numbers: [71, 72, 11]
Generated Node #0,4: 11:[71, 72, 11] Operation: 73-62=11
Moving to Node #0,0
Current State: 11:[72, 62, 2], Operations: ['73-71=2']
Exploring Operation: 72-62=10, Resulting Numbers: [2, 10]
Generated Node #0,0,0: 11:[2, 10] Operation: 72-62=10
Exploring Operation: 62-2=60, Resulting Numbers: [72, 60]
Generated Node #0,0,1: 11:[72, 60] Operation: 62-2=60
Exploring Operation: 72/2=36, Resulting Numbers: [62, 36]
Generated Node #0,0,2: 11:[62, 36] Operation: 72/2=36
Exploring Operation: 62/2=31, Resulting Numbers: [72, 31]
Generated Node #0,0,3: 11:[72, 31] Operation: 62/2=31
Exploring Operation: 72-2=70, Resulting Numbers: [62, 70]
Generated Node #0,0,4: 11:[62, 70] Operation: 72-2=70
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 11:[2, 10], Operations: ['73-71=2', '72-62=10']
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,11 unequal: No Solution
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,11 unequal: No Solution
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,11 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:[62, 36], Operations: ['73-71=2', '72/2=36']
Exploring Operation: 62+36=98, Resulting Numbers: [98]
98,11 unequal: No Solution
Exploring Operation: 62-36=26, Resulting Numbers: [26]
26,11 unequal: No Solution
Exploring Operation: 62*36=2232, Resulting Numbers: [2232]
2232,11 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:[72, 31], Operations: ['73-71=2', '62/2=31']
Exploring Operation: 72+31=103, Resulting Numbers: [103]
103,11 unequal: No Solution
Exploring Operation: 72-31=41, Resulting Numbers: [41]
41,11 unequal: No Solution
Exploring Operation: 72*31=2232, Resulting Numbers: [2232]
2232,11 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:[72, 60], Operations: ['73-71=2', '62-2=60']
Exploring Operation: 72-60=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 72+60=132, Resulting Numbers: [132]
132,11 unequal: No Solution
Exploring Operation: 72*60=4320, Resulting Numbers: [4320]
4320,11 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:[62, 70], Operations: ['73-71=2', '72-2=70']
Exploring Operation: 62*70=4340, Resulting Numbers: [4340]
4340,11 unequal: No Solution
Exploring Operation: 70-62=8, Resulting Numbers: [8]
8,11 unequal: No Solution
Exploring Operation: 62+70=132, Resulting Numbers: [132]
132,11 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: 11:[71, 72, 11], Operations: ['73-62=11']
Exploring Operation: 71-11=60, Resulting Numbers: [72, 60]
Generated Node #0,4,0: 11:[72, 60] Operation: 71-11=60
Exploring Operation: 72-71=1, Resulting Numbers: [11, 1]
Generated Node #0,4,1: 11:[11, 1] Operation: 72-71=1
Exploring Operation: 71+72=143, Resulting Numbers: [11, 143]
Generated Node #0,4,2: 11:[11, 143] Operation: 71+72=143
Exploring Operation: 71+11=82, Resulting Numbers: [72, 82]
Generated Node #0,4,3: 11:[72, 82] Operation: 71+11=82
Exploring Operation: 72-11=61, Resulting Numbers: [71, 61]
Generated Node #0,4,4: 11:[71, 61] Operation: 72-11=61
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 11:[11, 1], Operations: ['73-62=11', '72-71=1']
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[73, 71, 72, 62], Operations: []
Exploring Operation: 73-62=11, Resulting Numbers: [71, 72, 11]
Generated Node #0,4: 11:[71, 72, 11] Operation: 73-62=11
Moving to Node #0,4
Current State: 11:[71, 72, 11], Operations: ['73-62=11']
Exploring Operation: 72-71=1, Resulting Numbers: [11, 1]
Generated Node #0,4,1: 11:[11, 1] Operation: 72-71=1
Moving to Node #0,4,1
Current State: 11:[11, 1], Operations: ['73-62=11', '72-71=1']
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_5 | mult_heuristic |
[
18,
2,
21,
36
] | 78 | [
"21-18=3",
"36+3=39",
"2*39=78"
] | Current State: 78:[18, 2, 21, 36], Operations: []
Exploring Operation: 21-18=3, Resulting Numbers: [2, 36, 3]
Generated Node #2: [2, 36, 3] from Operation: 21-18=3
Current State: 78:[2, 36, 3], Operations: ['21-18=3']
Exploring Operation: 36+3=39, Resulting Numbers: [2, 39]
Generated Node #3: [2, 39] from Operation: 36+3=39
Current State: 78:[2, 39], Operations: ['21-18=3', '36+3=39']
Exploring Operation: 2*39=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[18, 2, 21, 36], Operations: []
Exploring Operation: 18+21=39, Resulting Numbers: [2, 36, 39]
Generated Node #0,0: 78:[2, 36, 39] Operation: 18+21=39
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[2, 36, 39], Operations: ['18+21=39']
Exploring Operation: 39-36=3, Resulting Numbers: [2, 3]
Generated Node #0,0,0: 78:[2, 3] Operation: 39-36=3
Moving to Node #0,0,0
Current State: 78:[2, 3], Operations: ['18+21=39', '39-36=3']
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,78 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 |
[
92,
48,
92,
34
] | 48 | [
"92-92=0",
"34*0=0",
"48+0=48"
] | Current State: 48:[92, 48, 92, 34], Operations: []
Exploring Operation: 92-92=0, Resulting Numbers: [48, 34, 0]
Generated Node #2: [48, 34, 0] from Operation: 92-92=0
Current State: 48:[48, 34, 0], Operations: ['92-92=0']
Exploring Operation: 34*0=0, Resulting Numbers: [48, 0]
Generated Node #3: [48, 0] from Operation: 34*0=0
Current State: 48:[48, 0], Operations: ['92-92=0', '34*0=0']
Exploring Operation: 48+0=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[92, 48, 92, 34], Operations: []
Exploring Operation: 92-92=0, Resulting Numbers: [48, 34, 0]
Generated Node #0,0: 48:[48, 34, 0] Operation: 92-92=0
Exploring Operation: 92-34=58, Resulting Numbers: [92, 48, 58]
Generated Node #0,1: 48:[92, 48, 58] Operation: 92-34=58
Exploring Operation: 92/92=1, Resulting Numbers: [48, 34, 1]
Generated Node #0,2: 48:[48, 34, 1] Operation: 92/92=1
Exploring Operation: 92-34=58, Resulting Numbers: [48, 92, 58]
Generated Node #0,3: 48:[48, 92, 58] Operation: 92-34=58
Moving to Node #0,2
Current State: 48:[48, 34, 1], Operations: ['92/92=1']
Exploring Operation: 48/1=48, Resulting Numbers: [34, 48]
Generated Node #0,2,0: 48:[34, 48] Operation: 48/1=48
Exploring Operation: 34-1=33, Resulting Numbers: [48, 33]
Generated Node #0,2,1: 48:[48, 33] Operation: 34-1=33
Exploring Operation: 48*1=48, Resulting Numbers: [34, 48]
Generated Node #0,2,2: 48:[34, 48] Operation: 48*1=48
Exploring Operation: 48-34=14, Resulting Numbers: [1, 14]
Generated Node #0,2,3: 48:[1, 14] Operation: 48-34=14
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 48:[1, 14], Operations: ['92/92=1', '48-34=14']
Exploring Operation: 1*14=14, Resulting Numbers: [14]
14,48 unequal: No Solution
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,48 unequal: No Solution
Exploring Operation: 1+14=15, Resulting Numbers: [15]
15,48 unequal: No Solution
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,48 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 #0,2,1
Current State: 48:[48, 33], Operations: ['92/92=1', '34-1=33']
Exploring Operation: 48*33=1584, Resulting Numbers: [1584]
1584,48 unequal: No Solution
Exploring Operation: 48+33=81, Resulting Numbers: [81]
81,48 unequal: No Solution
Exploring Operation: 48-33=15, Resulting Numbers: [15]
15,48 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 #0,2,0
Current State: 48:[34, 48], Operations: ['92/92=1', '48/1=48']
Exploring Operation: 34*48=1632, Resulting Numbers: [1632]
1632,48 unequal: No Solution
Exploring Operation: 34+48=82, Resulting Numbers: [82]
82,48 unequal: No Solution
Exploring Operation: 48-34=14, Resulting Numbers: [14]
14,48 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 #0,2,2
Current State: 48:[34, 48], Operations: ['92/92=1', '48*1=48']
Exploring Operation: 34*48=1632, Resulting Numbers: [1632]
1632,48 unequal: No Solution
Exploring Operation: 34+48=82, Resulting Numbers: [82]
82,48 unequal: No Solution
Exploring Operation: 48-34=14, Resulting Numbers: [14]
14,48 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:[48, 34, 0], Operations: ['92-92=0']
Exploring Operation: 48-34=14, Resulting Numbers: [0, 14]
Generated Node #0,0,0: 48:[0, 14] Operation: 48-34=14
Exploring Operation: 48+0=48, Resulting Numbers: [34, 48]
Generated Node #0,0,1: 48:[34, 48] Operation: 48+0=48
Exploring Operation: 34*0=0, Resulting Numbers: [48, 0]
Generated Node #0,0,2: 48:[48, 0] Operation: 34*0=0
Exploring Operation: 48-0=48, Resulting Numbers: [34, 48]
Generated Node #0,0,3: 48:[34, 48] Operation: 48-0=48
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 48:[48, 0], Operations: ['92-92=0', '34*0=0']
Exploring Operation: 48+0=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[92, 48, 92, 34], Operations: []
Exploring Operation: 92-92=0, Resulting Numbers: [48, 34, 0]
Generated Node #0,0: 48:[48, 34, 0] Operation: 92-92=0
Moving to Node #0,0
Current State: 48:[48, 34, 0], Operations: ['92-92=0']
Exploring Operation: 34*0=0, Resulting Numbers: [48, 0]
Generated Node #0,0,2: 48:[48, 0] Operation: 34*0=0
Moving to Node #0,0,2
Current State: 48:[48, 0], Operations: ['92-92=0', '34*0=0']
Exploring Operation: 48+0=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_4 | sum_heuristic |
[
86,
8,
14,
31
] | 95 | [
"86-8=78",
"31-14=17",
"78+17=95"
] | Current State: 95:[86, 8, 14, 31], Operations: []
Exploring Operation: 86-8=78, Resulting Numbers: [14, 31, 78]
Generated Node #2: [14, 31, 78] from Operation: 86-8=78
Current State: 95:[14, 31, 78], Operations: ['86-8=78']
Exploring Operation: 31-14=17, Resulting Numbers: [78, 17]
Generated Node #3: [78, 17] from Operation: 31-14=17
Current State: 95:[78, 17], Operations: ['86-8=78', '31-14=17']
Exploring Operation: 78+17=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[86, 8, 14, 31], Operations: []
Exploring Operation: 31-14=17, Resulting Numbers: [86, 8, 17]
Generated Node #0,0: 95:[86, 8, 17] Operation: 31-14=17
Moving to Node #0,0
Current State: 95:[86, 8, 17], Operations: ['31-14=17']
Exploring Operation: 86+8=94, Resulting Numbers: [17, 94]
Generated Node #0,0,0: 95:[17, 94] Operation: 86+8=94
Moving to Node #0,0,0
Current State: 95:[17, 94], Operations: ['31-14=17', '86+8=94']
Exploring Operation: 17+94=111, Resulting Numbers: [111]
111,95 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
6,
51,
93,
75
] | 79 | [
"93+75=168",
"168/6=28",
"51+28=79"
] | Current State: 79:[6, 51, 93, 75], Operations: []
Exploring Operation: 93+75=168, Resulting Numbers: [6, 51, 168]
Generated Node #2: [6, 51, 168] from Operation: 93+75=168
Current State: 79:[6, 51, 168], Operations: ['93+75=168']
Exploring Operation: 168/6=28, Resulting Numbers: [51, 28]
Generated Node #3: [51, 28] from Operation: 168/6=28
Current State: 79:[51, 28], Operations: ['93+75=168', '168/6=28']
Exploring Operation: 51+28=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[6, 51, 93, 75], Operations: []
Exploring Operation: 6+93=99, Resulting Numbers: [51, 75, 99]
Generated Node #0,0: 79:[51, 75, 99] Operation: 6+93=99
Exploring Operation: 51-6=45, Resulting Numbers: [93, 75, 45]
Generated Node #0,1: 79:[93, 75, 45] Operation: 51-6=45
Exploring Operation: 6+51=57, Resulting Numbers: [93, 75, 57]
Generated Node #0,2: 79:[93, 75, 57] Operation: 6+51=57
Exploring Operation: 6+75=81, Resulting Numbers: [51, 93, 81]
Generated Node #0,3: 79:[51, 93, 81] Operation: 6+75=81
Exploring Operation: 93-6=87, Resulting Numbers: [51, 75, 87]
Generated Node #0,4: 79:[51, 75, 87] Operation: 93-6=87
Moving to Node #0,2
Current State: 79:[93, 75, 57], Operations: ['6+51=57']
Exploring Operation: 75-57=18, Resulting Numbers: [93, 18]
Generated Node #0,2,0: 79:[93, 18] Operation: 75-57=18
Exploring Operation: 75+57=132, Resulting Numbers: [93, 132]
Generated Node #0,2,1: 79:[93, 132] Operation: 75+57=132
Exploring Operation: 93-57=36, Resulting Numbers: [75, 36]
Generated Node #0,2,2: 79:[75, 36] Operation: 93-57=36
Exploring Operation: 93-75=18, Resulting Numbers: [57, 18]
Generated Node #0,2,3: 79:[57, 18] Operation: 93-75=18
Exploring Operation: 93+57=150, Resulting Numbers: [75, 150]
Generated Node #0,2,4: 79:[75, 150] Operation: 93+57=150
Moving to Node #0,4
Current State: 79:[51, 75, 87], Operations: ['93-6=87']
Exploring Operation: 51+87=138, Resulting Numbers: [75, 138]
Generated Node #0,4,0: 79:[75, 138] Operation: 51+87=138
Exploring Operation: 75-51=24, Resulting Numbers: [87, 24]
Generated Node #0,4,1: 79:[87, 24] Operation: 75-51=24
Exploring Operation: 51+75=126, Resulting Numbers: [87, 126]
Generated Node #0,4,2: 79:[87, 126] Operation: 51+75=126
Exploring Operation: 87-75=12, Resulting Numbers: [51, 12]
Generated Node #0,4,3: 79:[51, 12] Operation: 87-75=12
Exploring Operation: 87-51=36, Resulting Numbers: [75, 36]
Generated Node #0,4,4: 79:[75, 36] Operation: 87-51=36
Moving to Node #0,3
Current State: 79:[51, 93, 81], Operations: ['6+75=81']
Exploring Operation: 81-51=30, Resulting Numbers: [93, 30]
Generated Node #0,3,0: 79:[93, 30] Operation: 81-51=30
Exploring Operation: 93-81=12, Resulting Numbers: [51, 12]
Generated Node #0,3,1: 79:[51, 12] Operation: 93-81=12
Exploring Operation: 51+81=132, Resulting Numbers: [93, 132]
Generated Node #0,3,2: 79:[93, 132] Operation: 51+81=132
Exploring Operation: 51+93=144, Resulting Numbers: [81, 144]
Generated Node #0,3,3: 79:[81, 144] Operation: 51+93=144
Exploring Operation: 93-51=42, Resulting Numbers: [81, 42]
Generated Node #0,3,4: 79:[81, 42] Operation: 93-51=42
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 79:[81, 42], Operations: ['6+75=81', '93-51=42']
Exploring Operation: 81*42=3402, Resulting Numbers: [3402]
3402,79 unequal: No Solution
Exploring Operation: 81-42=39, Resulting Numbers: [39]
39,79 unequal: No Solution
Exploring Operation: 81+42=123, Resulting Numbers: [123]
123,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 79:[93, 30], Operations: ['6+75=81', '81-51=30']
Exploring Operation: 93*30=2790, Resulting Numbers: [2790]
2790,79 unequal: No Solution
Exploring Operation: 93+30=123, Resulting Numbers: [123]
123,79 unequal: No Solution
Exploring Operation: 93-30=63, Resulting Numbers: [63]
63,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 79:[93, 132], Operations: ['6+75=81', '51+81=132']
Exploring Operation: 93*132=12276, Resulting Numbers: [12276]
12276,79 unequal: No Solution
Exploring Operation: 132-93=39, Resulting Numbers: [39]
39,79 unequal: No Solution
Exploring Operation: 93+132=225, Resulting Numbers: [225]
225,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 79:[81, 144], Operations: ['6+75=81', '51+93=144']
Exploring Operation: 81+144=225, Resulting Numbers: [225]
225,79 unequal: No Solution
Exploring Operation: 144-81=63, Resulting Numbers: [63]
63,79 unequal: No Solution
Exploring Operation: 81*144=11664, Resulting Numbers: [11664]
11664,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 79:[51, 12], Operations: ['6+75=81', '93-81=12']
Exploring Operation: 51-12=39, Resulting Numbers: [39]
39,79 unequal: No Solution
Exploring Operation: 51+12=63, Resulting Numbers: [63]
63,79 unequal: No Solution
Exploring Operation: 51*12=612, Resulting Numbers: [612]
612,79 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: 79:[51, 75, 99], Operations: ['6+93=99']
Exploring Operation: 51+99=150, Resulting Numbers: [75, 150]
Generated Node #0,0,0: 79:[75, 150] Operation: 51+99=150
Exploring Operation: 99-51=48, Resulting Numbers: [75, 48]
Generated Node #0,0,1: 79:[75, 48] Operation: 99-51=48
Exploring Operation: 51+75=126, Resulting Numbers: [99, 126]
Generated Node #0,0,2: 79:[99, 126] Operation: 51+75=126
Exploring Operation: 75-51=24, Resulting Numbers: [99, 24]
Generated Node #0,0,3: 79:[99, 24] Operation: 75-51=24
Exploring Operation: 99-75=24, Resulting Numbers: [51, 24]
Generated Node #0,0,4: 79:[51, 24] Operation: 99-75=24
Moving to Node #0,1
Current State: 79:[93, 75, 45], Operations: ['51-6=45']
Exploring Operation: 75-45=30, Resulting Numbers: [93, 30]
Generated Node #0,1,0: 79:[93, 30] Operation: 75-45=30
Exploring Operation: 93-75=18, Resulting Numbers: [45, 18]
Generated Node #0,1,1: 79:[45, 18] Operation: 93-75=18
Exploring Operation: 93-45=48, Resulting Numbers: [75, 48]
Generated Node #0,1,2: 79:[75, 48] Operation: 93-45=48
Exploring Operation: 93+45=138, Resulting Numbers: [75, 138]
Generated Node #0,1,3: 79:[75, 138] Operation: 93+45=138
Exploring Operation: 75+45=120, Resulting Numbers: [93, 120]
Generated Node #0,1,4: 79:[93, 120] Operation: 75+45=120
Moving to Node #0,0,1
Current State: 79:[75, 48], Operations: ['6+93=99', '99-51=48']
Exploring Operation: 75-48=27, Resulting Numbers: [27]
27,79 unequal: No Solution
Exploring Operation: 75*48=3600, Resulting Numbers: [3600]
3600,79 unequal: No Solution
Exploring Operation: 75+48=123, Resulting Numbers: [123]
123,79 unequal: No Solution
Moving to Node #0,1,2
Current State: 79:[75, 48], Operations: ['51-6=45', '93-45=48']
Exploring Operation: 75+48=123, Resulting Numbers: [123]
123,79 unequal: No Solution
Exploring Operation: 75*48=3600, Resulting Numbers: [3600]
3600,79 unequal: No Solution
Exploring Operation: 75-48=27, Resulting Numbers: [27]
27,79 unequal: No Solution
Moving to Node #0,4,4
Current State: 79:[75, 36], Operations: ['93-6=87', '87-51=36']
Exploring Operation: 75-36=39, Resulting Numbers: [39]
39,79 unequal: No Solution
Exploring Operation: 75+36=111, Resulting Numbers: [111]
111,79 unequal: No Solution
Exploring Operation: 75*36=2700, Resulting Numbers: [2700]
2700,79 unequal: No Solution
Moving to Node #0,2,2
Current State: 79:[75, 36], Operations: ['6+51=57', '93-57=36']
Exploring Operation: 75*36=2700, Resulting Numbers: [2700]
2700,79 unequal: No Solution
Exploring Operation: 75-36=39, Resulting Numbers: [39]
39,79 unequal: No Solution
Exploring Operation: 75+36=111, Resulting Numbers: [111]
111,79 unequal: No Solution
Moving to Node #0,4,2
Current State: 79:[87, 126], Operations: ['93-6=87', '51+75=126']
Exploring Operation: 87+126=213, Resulting Numbers: [213]
213,79 unequal: No Solution
Exploring Operation: 87*126=10962, Resulting Numbers: [10962]
10962,79 unequal: No Solution
Exploring Operation: 126-87=39, Resulting Numbers: [39]
39,79 unequal: No Solution
Moving to Node #0,1,4
Current State: 79:[93, 120], Operations: ['51-6=45', '75+45=120']
Exploring Operation: 93+120=213, Resulting Numbers: [213]
213,79 unequal: No Solution
Exploring Operation: 120-93=27, Resulting Numbers: [27]
27,79 unequal: No Solution
Exploring Operation: 93*120=11160, Resulting Numbers: [11160]
11160,79 unequal: No Solution
Moving to Node #0,1,3
Current State: 79:[75, 138], Operations: ['51-6=45', '93+45=138']
Exploring Operation: 75+138=213, Resulting Numbers: [213]
213,79 unequal: No Solution
Exploring Operation: 138-75=63, Resulting Numbers: [63]
63,79 unequal: No Solution
Exploring Operation: 75*138=10350, Resulting Numbers: [10350]
10350,79 unequal: No Solution
Moving to Node #0,4,0
Current State: 79:[75, 138], Operations: ['93-6=87', '51+87=138']
Exploring Operation: 75+138=213, Resulting Numbers: [213]
213,79 unequal: No Solution
Exploring Operation: 75*138=10350, Resulting Numbers: [10350]
10350,79 unequal: No Solution
Exploring Operation: 138-75=63, Resulting Numbers: [63]
63,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[93, 30], Operations: ['51-6=45', '75-45=30']
Exploring Operation: 93-30=63, Resulting Numbers: [63]
63,79 unequal: No Solution
Exploring Operation: 93*30=2790, Resulting Numbers: [2790]
2790,79 unequal: No Solution
Exploring Operation: 93+30=123, Resulting Numbers: [123]
123,79 unequal: No Solution
Moving to Node #0,4,1
Current State: 79:[87, 24], Operations: ['93-6=87', '75-51=24']
Exploring Operation: 87+24=111, Resulting Numbers: [111]
111,79 unequal: No Solution
Exploring Operation: 87-24=63, Resulting Numbers: [63]
63,79 unequal: No Solution
Exploring Operation: 87*24=2088, Resulting Numbers: [2088]
2088,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[99, 126], Operations: ['6+93=99', '51+75=126']
Exploring Operation: 99*126=12474, Resulting Numbers: [12474]
12474,79 unequal: No Solution
Exploring Operation: 126-99=27, Resulting Numbers: [27]
27,79 unequal: No Solution
Exploring Operation: 99+126=225, Resulting Numbers: [225]
225,79 unequal: No Solution
Moving to Node #0,2,1
Current State: 79:[93, 132], Operations: ['6+51=57', '75+57=132']
Exploring Operation: 93+132=225, Resulting Numbers: [225]
225,79 unequal: No Solution
Exploring Operation: 132-93=39, Resulting Numbers: [39]
39,79 unequal: No Solution
Exploring Operation: 93*132=12276, Resulting Numbers: [12276]
12276,79 unequal: No Solution
Moving to Node #0,0,3
Current State: 79:[99, 24], Operations: ['6+93=99', '75-51=24']
Exploring Operation: 99+24=123, Resulting Numbers: [123]
123,79 unequal: No Solution
Exploring Operation: 99-24=75, Resulting Numbers: [75]
75,79 unequal: No Solution
Exploring Operation: 99*24=2376, Resulting Numbers: [2376]
2376,79 unequal: No Solution
Moving to Node #0,0,0
Current State: 79:[75, 150], Operations: ['6+93=99', '51+99=150']
Exploring Operation: 150-75=75, Resulting Numbers: [75]
75,79 unequal: No Solution
Exploring Operation: 150/75=2, Resulting Numbers: [2]
2,79 unequal: No Solution
Exploring Operation: 75*150=11250, Resulting Numbers: [11250]
11250,79 unequal: No Solution
Exploring Operation: 75+150=225, Resulting Numbers: [225]
225,79 unequal: No Solution
Moving to Node #0,2,4
Current State: 79:[75, 150], Operations: ['6+51=57', '93+57=150']
Exploring Operation: 150-75=75, Resulting Numbers: [75]
75,79 unequal: No Solution
Exploring Operation: 150/75=2, Resulting Numbers: [2]
2,79 unequal: No Solution
Exploring Operation: 75*150=11250, Resulting Numbers: [11250]
11250,79 unequal: No Solution
Exploring Operation: 75+150=225, Resulting Numbers: [225]
225,79 unequal: No Solution
Moving to Node #0,2,0
Current State: 79:[93, 18], Operations: ['6+51=57', '75-57=18']
Exploring Operation: 93-18=75, Resulting Numbers: [75]
75,79 unequal: No Solution
Exploring Operation: 93+18=111, Resulting Numbers: [111]
111,79 unequal: No Solution
Exploring Operation: 93*18=1674, Resulting Numbers: [1674]
1674,79 unequal: No Solution
Moving to Node #0,2,3
Current State: 79:[57, 18], Operations: ['6+51=57', '93-75=18']
Exploring Operation: 57-18=39, Resulting Numbers: [39]
39,79 unequal: No Solution
Exploring Operation: 57+18=75, Resulting Numbers: [75]
75,79 unequal: No Solution
Exploring Operation: 57*18=1026, Resulting Numbers: [1026]
1026,79 unequal: No Solution
Moving to Node #0,0,4
Current State: 79:[51, 24], Operations: ['6+93=99', '99-75=24']
Exploring Operation: 51*24=1224, Resulting Numbers: [1224]
1224,79 unequal: No Solution
Exploring Operation: 51+24=75, Resulting Numbers: [75]
75,79 unequal: No Solution
Exploring Operation: 51-24=27, Resulting Numbers: [27]
27,79 unequal: No Solution
Moving to Node #0,1,1
Current State: 79:[45, 18], Operations: ['51-6=45', '93-75=18']
Exploring Operation: 45-18=27, Resulting Numbers: [27]
27,79 unequal: No Solution
Exploring Operation: 45+18=63, Resulting Numbers: [63]
63,79 unequal: No Solution
Exploring Operation: 45*18=810, Resulting Numbers: [810]
810,79 unequal: No Solution
Moving to Node #0,4,3
Current State: 79:[51, 12], Operations: ['93-6=87', '87-75=12']
Exploring Operation: 51-12=39, Resulting Numbers: [39]
39,79 unequal: No Solution
Exploring Operation: 51*12=612, Resulting Numbers: [612]
612,79 unequal: No Solution
Exploring Operation: 51+12=63, Resulting Numbers: [63]
63,79 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
5,
69,
2,
97
] | 31 | [
"69-5=64",
"97-2=95",
"95-64=31"
] | Current State: 31:[5, 69, 2, 97], Operations: []
Exploring Operation: 69-5=64, Resulting Numbers: [2, 97, 64]
Generated Node #2: [2, 97, 64] from Operation: 69-5=64
Current State: 31:[2, 97, 64], Operations: ['69-5=64']
Exploring Operation: 97-2=95, Resulting Numbers: [64, 95]
Generated Node #3: [64, 95] from Operation: 97-2=95
Current State: 31:[64, 95], Operations: ['69-5=64', '97-2=95']
Exploring Operation: 95-64=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[5, 69, 2, 97], Operations: []
Exploring Operation: 69-5=64, Resulting Numbers: [2, 97, 64]
Generated Node #0,0: 31:[2, 97, 64] Operation: 69-5=64
Exploring Operation: 97-69=28, Resulting Numbers: [5, 2, 28]
Generated Node #0,1: 31:[5, 2, 28] Operation: 97-69=28
Exploring Operation: 5*2=10, Resulting Numbers: [69, 97, 10]
Generated Node #0,2: 31:[69, 97, 10] Operation: 5*2=10
Exploring Operation: 5+2=7, Resulting Numbers: [69, 97, 7]
Generated Node #0,3: 31:[69, 97, 7] Operation: 5+2=7
Moving to Node #0,1
Current State: 31:[5, 2, 28], Operations: ['97-69=28']
Exploring Operation: 2+28=30, Resulting Numbers: [5, 30]
Generated Node #0,1,0: 31:[5, 30] Operation: 2+28=30
Exploring Operation: 5*2=10, Resulting Numbers: [28, 10]
Generated Node #0,1,1: 31:[28, 10] Operation: 5*2=10
Exploring Operation: 5-2=3, Resulting Numbers: [28, 3]
Generated Node #0,1,2: 31:[28, 3] Operation: 5-2=3
Exploring Operation: 5+2=7, Resulting Numbers: [28, 7]
Generated Node #0,1,3: 31:[28, 7] Operation: 5+2=7
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 31:[28, 10], Operations: ['97-69=28', '5*2=10']
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 28*10=280, Resulting Numbers: [280]
280,31 unequal: No Solution
Exploring Operation: 28+10=38, Resulting Numbers: [38]
38,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 31:[5, 30], Operations: ['97-69=28', '2+28=30']
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,31 unequal: No Solution
Exploring Operation: 5+30=35, Resulting Numbers: [35]
35,31 unequal: No Solution
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,31 unequal: No Solution
Exploring Operation: 5*30=150, Resulting Numbers: [150]
150,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 31:[28, 7], Operations: ['97-69=28', '5+2=7']
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,31 unequal: No Solution
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,31 unequal: No Solution
Exploring Operation: 28*7=196, Resulting Numbers: [196]
196,31 unequal: No Solution
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 31:[28, 3], Operations: ['97-69=28', '5-2=3']
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,31 unequal: No Solution
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[5, 69, 2, 97], Operations: []
Exploring Operation: 97-69=28, Resulting Numbers: [5, 2, 28]
Generated Node #0,1: 31:[5, 2, 28] Operation: 97-69=28
Moving to Node #0,1
Current State: 31:[5, 2, 28], Operations: ['97-69=28']
Exploring Operation: 5-2=3, Resulting Numbers: [28, 3]
Generated Node #0,1,2: 31:[28, 3] Operation: 5-2=3
Moving to Node #0,1,2
Current State: 31:[28, 3], Operations: ['97-69=28', '5-2=3']
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_4 | sum_heuristic |
[
14,
6,
53,
19
] | 26 | [
"14-6=8",
"53-19=34",
"34-8=26"
] | Current State: 26:[14, 6, 53, 19], Operations: []
Exploring Operation: 14-6=8, Resulting Numbers: [53, 19, 8]
Generated Node #2: [53, 19, 8] from Operation: 14-6=8
Current State: 26:[53, 19, 8], Operations: ['14-6=8']
Exploring Operation: 53-19=34, Resulting Numbers: [8, 34]
Generated Node #3: [8, 34] from Operation: 53-19=34
Current State: 26:[8, 34], Operations: ['14-6=8', '53-19=34']
Exploring Operation: 34-8=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[14, 6, 53, 19], Operations: []
Exploring Operation: 53-14=39, Resulting Numbers: [6, 19, 39]
Generated Node #0,0: 26:[6, 19, 39] Operation: 53-14=39
Exploring Operation: 53-19=34, Resulting Numbers: [14, 6, 34]
Generated Node #0,1: 26:[14, 6, 34] Operation: 53-19=34
Start Sub Search at level 1: Moving to Node #0,1
Current State: 26:[14, 6, 34], Operations: ['53-19=34']
Exploring Operation: 34-6=28, Resulting Numbers: [14, 28]
Generated Node #0,1,0: 26:[14, 28] Operation: 34-6=28
Exploring Operation: 34-14=20, Resulting Numbers: [6, 20]
Generated Node #0,1,1: 26:[6, 20] Operation: 34-14=20
Moving to Node #0,1,0
Current State: 26:[14, 28], Operations: ['53-19=34', '34-6=28']
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,26 unequal: No Solution
Exploring Operation: 28/14=2, Resulting Numbers: [2]
2,26 unequal: No Solution
Moving to Node #0,1,1
Current State: 26:[6, 20], Operations: ['53-19=34', '34-14=20']
Exploring Operation: 6+20=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[14, 6, 53, 19], Operations: []
Exploring Operation: 53-19=34, Resulting Numbers: [14, 6, 34]
Generated Node #0,1: 26:[14, 6, 34] Operation: 53-19=34
Moving to Node #0,1
Current State: 26:[14, 6, 34], Operations: ['53-19=34']
Exploring Operation: 34-14=20, Resulting Numbers: [6, 20]
Generated Node #0,1,1: 26:[6, 20] Operation: 34-14=20
Moving to Node #0,1,1
Current State: 26:[6, 20], Operations: ['53-19=34', '34-14=20']
Exploring Operation: 6+20=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
31,
49,
83,
29
] | 72 | [
"49-31=18",
"83-29=54",
"18+54=72"
] | Current State: 72:[31, 49, 83, 29], Operations: []
Exploring Operation: 49-31=18, Resulting Numbers: [83, 29, 18]
Generated Node #2: [83, 29, 18] from Operation: 49-31=18
Current State: 72:[83, 29, 18], Operations: ['49-31=18']
Exploring Operation: 83-29=54, Resulting Numbers: [18, 54]
Generated Node #3: [18, 54] from Operation: 83-29=54
Current State: 72:[18, 54], Operations: ['49-31=18', '83-29=54']
Exploring Operation: 18+54=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[31, 49, 83, 29], Operations: []
Exploring Operation: 83-49=34, Resulting Numbers: [31, 29, 34]
Generated Node #0,0: 72:[31, 29, 34] Operation: 83-49=34
Exploring Operation: 49-31=18, Resulting Numbers: [83, 29, 18]
Generated Node #0,1: 72:[83, 29, 18] Operation: 49-31=18
Moving to Node #0,0
Current State: 72:[31, 29, 34], Operations: ['83-49=34']
Exploring Operation: 31-29=2, Resulting Numbers: [34, 2]
Generated Node #0,0,0: 72:[34, 2] Operation: 31-29=2
Exploring Operation: 34-31=3, Resulting Numbers: [29, 3]
Generated Node #0,0,1: 72:[29, 3] Operation: 34-31=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 72:[34, 2], Operations: ['83-49=34', '31-29=2']
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,72 unequal: No Solution
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 72:[29, 3], Operations: ['83-49=34', '34-31=3']
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,72 unequal: No Solution
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,72 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: 72:[83, 29, 18], Operations: ['49-31=18']
Exploring Operation: 29-18=11, Resulting Numbers: [83, 11]
Generated Node #0,1,0: 72:[83, 11] Operation: 29-18=11
Exploring Operation: 83-18=65, Resulting Numbers: [29, 65]
Generated Node #0,1,1: 72:[29, 65] Operation: 83-18=65
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 72:[83, 11], Operations: ['49-31=18', '29-18=11']
Exploring Operation: 83+11=94, Resulting Numbers: [94]
94,72 unequal: No Solution
Exploring Operation: 83-11=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[31, 49, 83, 29], Operations: []
Exploring Operation: 49-31=18, Resulting Numbers: [83, 29, 18]
Generated Node #0,1: 72:[83, 29, 18] Operation: 49-31=18
Moving to Node #0,1
Current State: 72:[83, 29, 18], Operations: ['49-31=18']
Exploring Operation: 29-18=11, Resulting Numbers: [83, 11]
Generated Node #0,1,0: 72:[83, 11] Operation: 29-18=11
Moving to Node #0,1,0
Current State: 72:[83, 11], Operations: ['49-31=18', '29-18=11']
Exploring Operation: 83-11=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_2 | sum_heuristic |
[
46,
2,
37,
92
] | 85 | [
"46-2=44",
"37+92=129",
"129-44=85"
] | Current State: 85:[46, 2, 37, 92], Operations: []
Exploring Operation: 46-2=44, Resulting Numbers: [37, 92, 44]
Generated Node #2: [37, 92, 44] from Operation: 46-2=44
Current State: 85:[37, 92, 44], Operations: ['46-2=44']
Exploring Operation: 37+92=129, Resulting Numbers: [44, 129]
Generated Node #3: [44, 129] from Operation: 37+92=129
Current State: 85:[44, 129], Operations: ['46-2=44', '37+92=129']
Exploring Operation: 129-44=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[46, 2, 37, 92], Operations: []
Exploring Operation: 46+37=83, Resulting Numbers: [2, 92, 83]
Generated Node #0,0: 85:[2, 92, 83] Operation: 46+37=83
Moving to Node #0,0
Current State: 85:[2, 92, 83], Operations: ['46+37=83']
Exploring Operation: 92-2=90, Resulting Numbers: [83, 90]
Generated Node #0,0,0: 85:[83, 90] Operation: 92-2=90
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 85:[83, 90], Operations: ['46+37=83', '92-2=90']
Exploring Operation: 90-83=7, Resulting Numbers: [7]
7,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
83,
79,
4,
71
] | 85 | [
"79-71=8",
"8/4=2",
"83+2=85"
] | Current State: 85:[83, 79, 4, 71], Operations: []
Exploring Operation: 79-71=8, Resulting Numbers: [83, 4, 8]
Generated Node #2: [83, 4, 8] from Operation: 79-71=8
Current State: 85:[83, 4, 8], Operations: ['79-71=8']
Exploring Operation: 8/4=2, Resulting Numbers: [83, 2]
Generated Node #3: [83, 2] from Operation: 8/4=2
Current State: 85:[83, 2], Operations: ['79-71=8', '8/4=2']
Exploring Operation: 83+2=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[83, 79, 4, 71], Operations: []
Exploring Operation: 79-71=8, Resulting Numbers: [83, 4, 8]
Generated Node #0,0: 85:[83, 4, 8] Operation: 79-71=8
Exploring Operation: 83-71=12, Resulting Numbers: [79, 4, 12]
Generated Node #0,1: 85:[79, 4, 12] Operation: 83-71=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[83, 4, 8], Operations: ['79-71=8']
Exploring Operation: 8-4=4, Resulting Numbers: [83, 4]
Generated Node #0,0,0: 85:[83, 4] Operation: 8-4=4
Exploring Operation: 83+4=87, Resulting Numbers: [8, 87]
Generated Node #0,0,1: 85:[8, 87] Operation: 83+4=87
Moving to Node #0,0,0
Current State: 85:[83, 4], Operations: ['79-71=8', '8-4=4']
Exploring Operation: 83+4=87, Resulting Numbers: [87]
87,85 unequal: No Solution
Exploring Operation: 83-4=79, Resulting Numbers: [79]
79,85 unequal: No Solution
Moving to Node #0,0,1
Current State: 85:[8, 87], Operations: ['79-71=8', '83+4=87']
Exploring Operation: 8+87=95, Resulting Numbers: [95]
95,85 unequal: No Solution
Exploring Operation: 87-8=79, Resulting Numbers: [79]
79,85 unequal: No Solution
No 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: 85:[79, 4, 12], Operations: ['83-71=12']
Exploring Operation: 79+12=91, Resulting Numbers: [4, 91]
Generated Node #0,1,0: 85:[4, 91] Operation: 79+12=91
Exploring Operation: 79+4=83, Resulting Numbers: [12, 83]
Generated Node #0,1,1: 85:[12, 83] Operation: 79+4=83
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 85:[4, 91], Operations: ['83-71=12', '79+12=91']
Exploring Operation: 4+91=95, Resulting Numbers: [95]
95,85 unequal: No Solution
Exploring Operation: 91-4=87, Resulting Numbers: [87]
87,85 unequal: No Solution
No 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: 85:[12, 83], Operations: ['83-71=12', '79+4=83']
Exploring Operation: 12+83=95, Resulting Numbers: [95]
95,85 unequal: No Solution
Exploring Operation: 83-12=71, Resulting Numbers: [71]
71,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
96,
84,
3,
33
] | 28 | [
"96+3=99",
"84*33=2772",
"2772/99=28"
] | Current State: 28:[96, 84, 3, 33], Operations: []
Exploring Operation: 96+3=99, Resulting Numbers: [84, 33, 99]
Generated Node #2: [84, 33, 99] from Operation: 96+3=99
Current State: 28:[84, 33, 99], Operations: ['96+3=99']
Exploring Operation: 84*33=2772, Resulting Numbers: [99, 2772]
Generated Node #3: [99, 2772] from Operation: 84*33=2772
Current State: 28:[99, 2772], Operations: ['96+3=99', '84*33=2772']
Exploring Operation: 2772/99=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[96, 84, 3, 33], Operations: []
Exploring Operation: 96-84=12, Resulting Numbers: [3, 33, 12]
Generated Node #0,0: 28:[3, 33, 12] Operation: 96-84=12
Exploring Operation: 96/3=32, Resulting Numbers: [84, 33, 32]
Generated Node #0,1: 28:[84, 33, 32] Operation: 96/3=32
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[3, 33, 12], Operations: ['96-84=12']
Exploring Operation: 33-3=30, Resulting Numbers: [12, 30]
Generated Node #0,0,0: 28:[12, 30] Operation: 33-3=30
Exploring Operation: 33/3=11, Resulting Numbers: [12, 11]
Generated Node #0,0,1: 28:[12, 11] Operation: 33/3=11
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 28:[12, 30], Operations: ['96-84=12', '33-3=30']
Exploring Operation: 12+30=42, Resulting Numbers: [42]
42,28 unequal: No Solution
Exploring Operation: 30-12=18, Resulting Numbers: [18]
18,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 28:[12, 11], Operations: ['96-84=12', '33/3=11']
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Exploring Operation: 12+11=23, Resulting Numbers: [23]
23,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 28:[84, 33, 32], Operations: ['96/3=32']
Exploring Operation: 84-32=52, Resulting Numbers: [33, 52]
Generated Node #0,1,0: 28:[33, 52] Operation: 84-32=52
Exploring Operation: 84-33=51, Resulting Numbers: [32, 51]
Generated Node #0,1,1: 28:[32, 51] Operation: 84-33=51
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 28:[32, 51], Operations: ['96/3=32', '84-33=51']
Exploring Operation: 51-32=19, Resulting Numbers: [19]
19,28 unequal: No Solution
Exploring Operation: 32+51=83, Resulting Numbers: [83]
83,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 28:[33, 52], Operations: ['96/3=32', '84-32=52']
Exploring Operation: 52-33=19, Resulting Numbers: [19]
19,28 unequal: No Solution
Exploring Operation: 33+52=85, Resulting Numbers: [85]
85,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
51,
8,
49,
79
] | 67 | [
"49+79=128",
"128/8=16",
"51+16=67"
] | Current State: 67:[51, 8, 49, 79], Operations: []
Exploring Operation: 49+79=128, Resulting Numbers: [51, 8, 128]
Generated Node #2: [51, 8, 128] from Operation: 49+79=128
Current State: 67:[51, 8, 128], Operations: ['49+79=128']
Exploring Operation: 128/8=16, Resulting Numbers: [51, 16]
Generated Node #3: [51, 16] from Operation: 128/8=16
Current State: 67:[51, 16], Operations: ['49+79=128', '128/8=16']
Exploring Operation: 51+16=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[51, 8, 49, 79], Operations: []
Exploring Operation: 79-8=71, Resulting Numbers: [51, 49, 71]
Generated Node #0,0: 67:[51, 49, 71] Operation: 79-8=71
Exploring Operation: 51+8=59, Resulting Numbers: [49, 79, 59]
Generated Node #0,1: 67:[49, 79, 59] Operation: 51+8=59
Exploring Operation: 8+49=57, Resulting Numbers: [51, 79, 57]
Generated Node #0,2: 67:[51, 79, 57] Operation: 8+49=57
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[51, 49, 71], Operations: ['79-8=71']
Exploring Operation: 71-49=22, Resulting Numbers: [51, 22]
Generated Node #0,0,0: 67:[51, 22] Operation: 71-49=22
Exploring Operation: 71-51=20, Resulting Numbers: [49, 20]
Generated Node #0,0,1: 67:[49, 20] Operation: 71-51=20
Exploring Operation: 51+49=100, Resulting Numbers: [71, 100]
Generated Node #0,0,2: 67:[71, 100] Operation: 51+49=100
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 67:[71, 100], Operations: ['79-8=71', '51+49=100']
Exploring Operation: 71+100=171, Resulting Numbers: [171]
171,67 unequal: No Solution
Exploring Operation: 71*100=7100, Resulting Numbers: [7100]
7100,67 unequal: No Solution
Exploring Operation: 100-71=29, Resulting Numbers: [29]
29,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 67:[51, 22], Operations: ['79-8=71', '71-49=22']
Exploring Operation: 51+22=73, Resulting Numbers: [73]
73,67 unequal: No Solution
Exploring Operation: 51-22=29, Resulting Numbers: [29]
29,67 unequal: No Solution
Exploring Operation: 51*22=1122, Resulting Numbers: [1122]
1122,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 67:[49, 20], Operations: ['79-8=71', '71-51=20']
Exploring Operation: 49-20=29, Resulting Numbers: [29]
29,67 unequal: No Solution
Exploring Operation: 49*20=980, Resulting Numbers: [980]
980,67 unequal: No Solution
Exploring Operation: 49+20=69, Resulting Numbers: [69]
69,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[49, 79, 59], Operations: ['51+8=59']
Exploring Operation: 79-59=20, Resulting Numbers: [49, 20]
Generated Node #0,1,0: 67:[49, 20] Operation: 79-59=20
Exploring Operation: 79-49=30, Resulting Numbers: [59, 30]
Generated Node #0,1,1: 67:[59, 30] Operation: 79-49=30
Exploring Operation: 49+59=108, Resulting Numbers: [79, 108]
Generated Node #0,1,2: 67:[79, 108] Operation: 49+59=108
Moving to Node #0,1,1
Current State: 67:[59, 30], Operations: ['51+8=59', '79-49=30']
Exploring Operation: 59+30=89, Resulting Numbers: [89]
89,67 unequal: No Solution
Exploring Operation: 59-30=29, Resulting Numbers: [29]
29,67 unequal: No Solution
Exploring Operation: 59*30=1770, Resulting Numbers: [1770]
1770,67 unequal: No Solution
Moving to Node #0,1,2
Current State: 67:[79, 108], Operations: ['51+8=59', '49+59=108']
Exploring Operation: 79*108=8532, Resulting Numbers: [8532]
8532,67 unequal: No Solution
Exploring Operation: 108-79=29, Resulting Numbers: [29]
29,67 unequal: No Solution
Exploring Operation: 79+108=187, Resulting Numbers: [187]
187,67 unequal: No Solution
Moving to Node #0,1,0
Current State: 67:[49, 20], Operations: ['51+8=59', '79-59=20']
Exploring Operation: 49-20=29, Resulting Numbers: [29]
29,67 unequal: No Solution
Exploring Operation: 49*20=980, Resulting Numbers: [980]
980,67 unequal: No Solution
Exploring Operation: 49+20=69, Resulting Numbers: [69]
69,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 67:[51, 79, 57], Operations: ['8+49=57']
Exploring Operation: 79-57=22, Resulting Numbers: [51, 22]
Generated Node #0,2,0: 67:[51, 22] Operation: 79-57=22
Exploring Operation: 79-51=28, Resulting Numbers: [57, 28]
Generated Node #0,2,1: 67:[57, 28] Operation: 79-51=28
Exploring Operation: 51+57=108, Resulting Numbers: [79, 108]
Generated Node #0,2,2: 67:[79, 108] Operation: 51+57=108
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 67:[57, 28], Operations: ['8+49=57', '79-51=28']
Exploring Operation: 57+28=85, Resulting Numbers: [85]
85,67 unequal: No Solution
Exploring Operation: 57*28=1596, Resulting Numbers: [1596]
1596,67 unequal: No Solution
Exploring Operation: 57-28=29, Resulting Numbers: [29]
29,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 67:[79, 108], Operations: ['8+49=57', '51+57=108']
Exploring Operation: 108-79=29, Resulting Numbers: [29]
29,67 unequal: No Solution
Exploring Operation: 79+108=187, Resulting Numbers: [187]
187,67 unequal: No Solution
Exploring Operation: 79*108=8532, Resulting Numbers: [8532]
8532,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 67:[51, 22], Operations: ['8+49=57', '79-57=22']
Exploring Operation: 51+22=73, Resulting Numbers: [73]
73,67 unequal: No Solution
Exploring Operation: 51-22=29, Resulting Numbers: [29]
29,67 unequal: No Solution
Exploring Operation: 51*22=1122, Resulting Numbers: [1122]
1122,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
71,
46,
96,
62
] | 65 | [
"62-46=16",
"96/16=6",
"71-6=65"
] | Current State: 65:[71, 46, 96, 62], Operations: []
Exploring Operation: 62-46=16, Resulting Numbers: [71, 96, 16]
Generated Node #2: [71, 96, 16] from Operation: 62-46=16
Current State: 65:[71, 96, 16], Operations: ['62-46=16']
Exploring Operation: 96/16=6, Resulting Numbers: [71, 6]
Generated Node #3: [71, 6] from Operation: 96/16=6
Current State: 65:[71, 6], Operations: ['62-46=16', '96/16=6']
Exploring Operation: 71-6=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[71, 46, 96, 62], Operations: []
Exploring Operation: 96-46=50, Resulting Numbers: [71, 62, 50]
Generated Node #0,0: 65:[71, 62, 50] Operation: 96-46=50
Moving to Node #0,0
Current State: 65:[71, 62, 50], Operations: ['96-46=50']
Exploring Operation: 62-50=12, Resulting Numbers: [71, 12]
Generated Node #0,0,0: 65:[71, 12] Operation: 62-50=12
Moving to Node #0,0,0
Current State: 65:[71, 12], Operations: ['96-46=50', '62-50=12']
Exploring Operation: 71-12=59, Resulting Numbers: [59]
59,65 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
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