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 |
|---|---|---|---|---|---|---|---|---|
[
49,
97,
8,
55
] | 99 |
[
"49+97=146",
"55-8=47",
"146-47=99"
] |
Current State: 99:[49, 97, 8, 55], Operations: []
Exploring Operation: 49+97=146, Resulting Numbers: [8, 55, 146]
Generated Node #2: [8, 55, 146] from Operation: 49+97=146
Current State: 99:[8, 55, 146], Operations: ['49+97=146']
Exploring Operation: 55-8=47, Resulting Numbers: [146, 47]
Generated Node #3: [146, 47] from Operation: 55-8=47
Current State: 99:[146, 47], Operations: ['49+97=146', '55-8=47']
Exploring Operation: 146-47=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
Current State: 99:[49, 97, 8, 55], Operations: []
Exploring Operation: 49+55=104, Resulting Numbers: [97, 8, 104]
Generated Node #0,0: 99:[97, 8, 104] Operation: 49+55=104
Exploring Operation: 55-49=6, Resulting Numbers: [97, 8, 6]
Generated Node #0,1: 99:[97, 8, 6] Operation: 55-49=6
Moving to Node #0,1
Current State: 99:[97, 8, 6], Operations: ['55-49=6']
Exploring Operation: 97+6=103, Resulting Numbers: [8, 103]
Generated Node #0,1,0: 99:[8, 103] Operation: 97+6=103
Exploring Operation: 8-6=2, Resulting Numbers: [97, 2]
Generated Node #0,1,1: 99:[97, 2] Operation: 8-6=2
Moving to Node #0,0
Current State: 99:[97, 8, 104], Operations: ['49+55=104']
Exploring Operation: 104/8=13, Resulting Numbers: [97, 13]
Generated Node #0,0,0: 99:[97, 13] Operation: 104/8=13
Exploring Operation: 104-97=7, Resulting Numbers: [8, 7]
Generated Node #0,0,1: 99:[8, 7] Operation: 104-97=7
Moving to Node #0,1,1
Current State: 99:[97, 2], Operations: ['55-49=6', '8-6=2']
Exploring Operation: 97+2=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[49, 97, 8, 55], Operations: []
Exploring Operation: 55-49=6, Resulting Numbers: [97, 8, 6]
Generated Node #0,1: 99:[97, 8, 6] Operation: 55-49=6
Moving to Node #0,1
Current State: 99:[97, 8, 6], Operations: ['55-49=6']
Exploring Operation: 8-6=2, Resulting Numbers: [97, 2]
Generated Node #0,1,1: 99:[97, 2] Operation: 8-6=2
Moving to Node #0,1,1
Current State: 99:[97, 2], Operations: ['55-49=6', '8-6=2']
Exploring Operation: 97+2=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 0.990451 |
hs_2
|
sum_heuristic
|
[
26,
28,
11,
61
] | 48 |
[
"28-26=2",
"61-11=50",
"50-2=48"
] |
Current State: 48:[26, 28, 11, 61], Operations: []
Exploring Operation: 28-26=2, Resulting Numbers: [11, 61, 2]
Generated Node #2: [11, 61, 2] from Operation: 28-26=2
Current State: 48:[11, 61, 2], Operations: ['28-26=2']
Exploring Operation: 61-11=50, Resulting Numbers: [2, 50]
Generated Node #3: [2, 50] from Operation: 61-11=50
Current State: 48:[2, 50], Operations: ['28-26=2', '61-11=50']
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
Current State: 48:[26, 28, 11, 61], Operations: []
Exploring Operation: 61-28=33, Resulting Numbers: [26, 11, 33]
Generated Node #0,0: 48:[26, 11, 33] Operation: 61-28=33
Exploring Operation: 28-26=2, Resulting Numbers: [11, 61, 2]
Generated Node #0,1: 48:[11, 61, 2] Operation: 28-26=2
Exploring Operation: 61-11=50, Resulting Numbers: [26, 28, 50]
Generated Node #0,2: 48:[26, 28, 50] Operation: 61-11=50
Start Sub Search at level 1: Moving to Node #0,2
Current State: 48:[26, 28, 50], Operations: ['61-11=50']
Exploring Operation: 50-28=22, Resulting Numbers: [26, 22]
Generated Node #0,2,0: 48:[26, 22] Operation: 50-28=22
Exploring Operation: 50-26=24, Resulting Numbers: [28, 24]
Generated Node #0,2,1: 48:[28, 24] Operation: 50-26=24
Exploring Operation: 28-26=2, Resulting Numbers: [50, 2]
Generated Node #0,2,2: 48:[50, 2] Operation: 28-26=2
Moving to Node #0,2,2
Current State: 48:[50, 2], Operations: ['61-11=50', '28-26=2']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,48 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[26, 28, 11, 61], Operations: []
Exploring Operation: 61-11=50, Resulting Numbers: [26, 28, 50]
Generated Node #0,2: 48:[26, 28, 50] Operation: 61-11=50
Moving to Node #0,2
Current State: 48:[26, 28, 50], Operations: ['61-11=50']
Exploring Operation: 28-26=2, Resulting Numbers: [50, 2]
Generated Node #0,2,2: 48:[50, 2] Operation: 28-26=2
Moving to Node #0,2,2
Current State: 48:[50, 2], Operations: ['61-11=50', '28-26=2']
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 |
hs_3
|
mult_heuristic
|
[
84,
7,
1,
68
] | 82 |
[
"7-1=6",
"84/6=14",
"68+14=82"
] |
Current State: 82:[84, 7, 1, 68], Operations: []
Exploring Operation: 7-1=6, Resulting Numbers: [84, 68, 6]
Generated Node #2: [84, 68, 6] from Operation: 7-1=6
Current State: 82:[84, 68, 6], Operations: ['7-1=6']
Exploring Operation: 84/6=14, Resulting Numbers: [68, 14]
Generated Node #3: [68, 14] from Operation: 84/6=14
Current State: 82:[68, 14], Operations: ['7-1=6', '84/6=14']
Exploring Operation: 68+14=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
Current State: 82:[84, 7, 1, 68], Operations: []
Exploring Operation: 7+68=75, Resulting Numbers: [84, 1, 75]
Generated Node #0,0: 82:[84, 1, 75] Operation: 7+68=75
Moving to Node #0,0
Current State: 82:[84, 1, 75], Operations: ['7+68=75']
Exploring Operation: 84-1=83, Resulting Numbers: [75, 83]
Generated Node #0,0,0: 82:[75, 83] Operation: 84-1=83
Moving to Node #0,0,0
Current State: 82:[75, 83], Operations: ['7+68=75', '84-1=83']
Exploring Operation: 83-75=8, Resulting Numbers: [8]
8,82 unequal: No Solution
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
86,
4,
47,
37
] | 19 |
[
"86-47=39",
"37+39=76",
"76/4=19"
] |
Current State: 19:[86, 4, 47, 37], Operations: []
Exploring Operation: 86-47=39, Resulting Numbers: [4, 37, 39]
Generated Node #2: [4, 37, 39] from Operation: 86-47=39
Current State: 19:[4, 37, 39], Operations: ['86-47=39']
Exploring Operation: 37+39=76, Resulting Numbers: [4, 76]
Generated Node #3: [4, 76] from Operation: 37+39=76
Current State: 19:[4, 76], Operations: ['86-47=39', '37+39=76']
Exploring Operation: 76/4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
Current State: 19:[86, 4, 47, 37], Operations: []
Exploring Operation: 86-37=49, Resulting Numbers: [4, 47, 49]
Generated Node #0,0: 19:[4, 47, 49] Operation: 86-37=49
Exploring Operation: 86-47=39, Resulting Numbers: [4, 37, 39]
Generated Node #0,1: 19:[4, 37, 39] Operation: 86-47=39
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[4, 37, 39], Operations: ['86-47=39']
Exploring Operation: 39-37=2, Resulting Numbers: [4, 2]
Generated Node #0,1,0: 19:[4, 2] Operation: 39-37=2
Exploring Operation: 37-4=33, Resulting Numbers: [39, 33]
Generated Node #0,1,1: 19:[39, 33] Operation: 37-4=33
Moving to Node #0,1,0
Current State: 19:[4, 2], Operations: ['86-47=39', '39-37=2']
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,19 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Moving to Node #0,1,1
Current State: 19:[39, 33], Operations: ['86-47=39', '37-4=33']
Exploring Operation: 39+33=72, Resulting Numbers: [72]
72,19 unequal: No Solution
Exploring Operation: 39-33=6, Resulting Numbers: [6]
6,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[4, 47, 49], Operations: ['86-37=49']
Exploring Operation: 47-4=43, Resulting Numbers: [49, 43]
Generated Node #0,0,0: 19:[49, 43] Operation: 47-4=43
Exploring Operation: 49-47=2, Resulting Numbers: [4, 2]
Generated Node #0,0,1: 19:[4, 2] Operation: 49-47=2
Moving to Node #0,0,1
Current State: 19:[4, 2], Operations: ['86-37=49', '49-47=2']
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,19 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Moving to Node #0,0,0
Current State: 19:[49, 43], Operations: ['86-37=49', '47-4=43']
Exploring Operation: 49+43=92, Resulting Numbers: [92]
92,19 unequal: No Solution
Exploring Operation: 49-43=6, Resulting Numbers: [6]
6,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
67,
56,
24,
39
] | 60 |
[
"67+56=123",
"24+39=63",
"123-63=60"
] |
Current State: 60:[67, 56, 24, 39], Operations: []
Exploring Operation: 67+56=123, Resulting Numbers: [24, 39, 123]
Generated Node #2: [24, 39, 123] from Operation: 67+56=123
Current State: 60:[24, 39, 123], Operations: ['67+56=123']
Exploring Operation: 24+39=63, Resulting Numbers: [123, 63]
Generated Node #3: [123, 63] from Operation: 24+39=63
Current State: 60:[123, 63], Operations: ['67+56=123', '24+39=63']
Exploring Operation: 123-63=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
Current State: 60:[67, 56, 24, 39], Operations: []
Exploring Operation: 39-24=15, Resulting Numbers: [67, 56, 15]
Generated Node #0,0: 60:[67, 56, 15] Operation: 39-24=15
Exploring Operation: 67-39=28, Resulting Numbers: [56, 24, 28]
Generated Node #0,1: 60:[56, 24, 28] Operation: 67-39=28
Exploring Operation: 56-39=17, Resulting Numbers: [67, 24, 17]
Generated Node #0,2: 60:[67, 24, 17] Operation: 56-39=17
Moving to Node #0,1
Current State: 60:[56, 24, 28], Operations: ['67-39=28']
Exploring Operation: 28-24=4, Resulting Numbers: [56, 4]
Generated Node #0,1,0: 60:[56, 4] Operation: 28-24=4
Exploring Operation: 56/28=2, Resulting Numbers: [24, 2]
Generated Node #0,1,1: 60:[24, 2] Operation: 56/28=2
Exploring Operation: 56-24=32, Resulting Numbers: [28, 32]
Generated Node #0,1,2: 60:[28, 32] Operation: 56-24=32
Moving to Node #0,0
Current State: 60:[67, 56, 15], Operations: ['39-24=15']
Exploring Operation: 56+15=71, Resulting Numbers: [67, 71]
Generated Node #0,0,0: 60:[67, 71] Operation: 56+15=71
Exploring Operation: 67-15=52, Resulting Numbers: [56, 52]
Generated Node #0,0,1: 60:[56, 52] Operation: 67-15=52
Exploring Operation: 67-56=11, Resulting Numbers: [15, 11]
Generated Node #0,0,2: 60:[15, 11] Operation: 67-56=11
Moving to Node #0,2
Current State: 60:[67, 24, 17], Operations: ['56-39=17']
Exploring Operation: 67-24=43, Resulting Numbers: [17, 43]
Generated Node #0,2,0: 60:[17, 43] Operation: 67-24=43
Exploring Operation: 67-17=50, Resulting Numbers: [24, 50]
Generated Node #0,2,1: 60:[24, 50] Operation: 67-17=50
Exploring Operation: 24-17=7, Resulting Numbers: [67, 7]
Generated Node #0,2,2: 60:[67, 7] Operation: 24-17=7
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 60:[67, 7], Operations: ['56-39=17', '24-17=7']
Exploring Operation: 67-7=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[67, 56, 24, 39], Operations: []
Exploring Operation: 56-39=17, Resulting Numbers: [67, 24, 17]
Generated Node #0,2: 60:[67, 24, 17] Operation: 56-39=17
Moving to Node #0,2
Current State: 60:[67, 24, 17], Operations: ['56-39=17']
Exploring Operation: 24-17=7, Resulting Numbers: [67, 7]
Generated Node #0,2,2: 60:[67, 7] Operation: 24-17=7
Moving to Node #0,2,2
Current State: 60:[67, 7], Operations: ['56-39=17', '24-17=7']
Exploring Operation: 67-7=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 |
hs_3
|
sum_heuristic
|
[
82,
33,
58,
43
] | 100 |
[
"82+33=115",
"58-43=15",
"115-15=100"
] |
Current State: 100:[82, 33, 58, 43], Operations: []
Exploring Operation: 82+33=115, Resulting Numbers: [58, 43, 115]
Generated Node #2: [58, 43, 115] from Operation: 82+33=115
Current State: 100:[58, 43, 115], Operations: ['82+33=115']
Exploring Operation: 58-43=15, Resulting Numbers: [115, 15]
Generated Node #3: [115, 15] from Operation: 58-43=15
Current State: 100:[115, 15], Operations: ['82+33=115', '58-43=15']
Exploring Operation: 115-15=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
Current State: 100:[82, 33, 58, 43], Operations: []
Exploring Operation: 82-58=24, Resulting Numbers: [33, 43, 24]
Generated Node #0,0: 100:[33, 43, 24] Operation: 82-58=24
Exploring Operation: 82-33=49, Resulting Numbers: [58, 43, 49]
Generated Node #0,1: 100:[58, 43, 49] Operation: 82-33=49
Exploring Operation: 58-33=25, Resulting Numbers: [82, 43, 25]
Generated Node #0,2: 100:[82, 43, 25] Operation: 58-33=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[33, 43, 24], Operations: ['82-58=24']
Exploring Operation: 43-24=19, Resulting Numbers: [33, 19]
Generated Node #0,0,0: 100:[33, 19] Operation: 43-24=19
Exploring Operation: 43-33=10, Resulting Numbers: [24, 10]
Generated Node #0,0,1: 100:[24, 10] Operation: 43-33=10
Exploring Operation: 33-24=9, Resulting Numbers: [43, 9]
Generated Node #0,0,2: 100:[43, 9] Operation: 33-24=9
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 100:[24, 10], Operations: ['82-58=24', '43-33=10']
Exploring Operation: 24+10=34, Resulting Numbers: [34]
34,100 unequal: No Solution
Exploring Operation: 24*10=240, Resulting Numbers: [240]
240,100 unequal: No Solution
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 100:[43, 9], Operations: ['82-58=24', '33-24=9']
Exploring Operation: 43*9=387, Resulting Numbers: [387]
387,100 unequal: No Solution
Exploring Operation: 43+9=52, Resulting Numbers: [52]
52,100 unequal: No Solution
Exploring Operation: 43-9=34, Resulting Numbers: [34]
34,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 100:[33, 19], Operations: ['82-58=24', '43-24=19']
Exploring Operation: 33*19=627, Resulting Numbers: [627]
627,100 unequal: No Solution
Exploring Operation: 33-19=14, Resulting Numbers: [14]
14,100 unequal: No Solution
Exploring Operation: 33+19=52, Resulting Numbers: [52]
52,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[58, 43, 49], Operations: ['82-33=49']
Exploring Operation: 58+43=101, Resulting Numbers: [49, 101]
Generated Node #0,1,0: 100:[49, 101] Operation: 58+43=101
Exploring Operation: 58-49=9, Resulting Numbers: [43, 9]
Generated Node #0,1,1: 100:[43, 9] Operation: 58-49=9
Exploring Operation: 58-43=15, Resulting Numbers: [49, 15]
Generated Node #0,1,2: 100:[49, 15] Operation: 58-43=15
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 100:[49, 101], Operations: ['82-33=49', '58+43=101']
Exploring Operation: 49+101=150, Resulting Numbers: [150]
150,100 unequal: No Solution
Exploring Operation: 49*101=4949, Resulting Numbers: [4949]
4949,100 unequal: No Solution
Exploring Operation: 101-49=52, Resulting Numbers: [52]
52,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 100:[49, 15], Operations: ['82-33=49', '58-43=15']
Exploring Operation: 49+15=64, Resulting Numbers: [64]
64,100 unequal: No Solution
Exploring Operation: 49*15=735, Resulting Numbers: [735]
735,100 unequal: No Solution
Exploring Operation: 49-15=34, Resulting Numbers: [34]
34,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 100:[43, 9], Operations: ['82-33=49', '58-49=9']
Exploring Operation: 43*9=387, Resulting Numbers: [387]
387,100 unequal: No Solution
Exploring Operation: 43+9=52, Resulting Numbers: [52]
52,100 unequal: No Solution
Exploring Operation: 43-9=34, Resulting Numbers: [34]
34,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 100:[82, 43, 25], Operations: ['58-33=25']
Exploring Operation: 82-25=57, Resulting Numbers: [43, 57]
Generated Node #0,2,0: 100:[43, 57] Operation: 82-25=57
Exploring Operation: 82+25=107, Resulting Numbers: [43, 107]
Generated Node #0,2,1: 100:[43, 107] Operation: 82+25=107
Exploring Operation: 82-43=39, Resulting Numbers: [25, 39]
Generated Node #0,2,2: 100:[25, 39] Operation: 82-43=39
Moving to Node #0,2,2
Current State: 100:[25, 39], Operations: ['58-33=25', '82-43=39']
Exploring Operation: 25*39=975, Resulting Numbers: [975]
975,100 unequal: No Solution
Exploring Operation: 25+39=64, Resulting Numbers: [64]
64,100 unequal: No Solution
Exploring Operation: 39-25=14, Resulting Numbers: [14]
14,100 unequal: No Solution
Moving to Node #0,2,0
Current State: 100:[43, 57], Operations: ['58-33=25', '82-25=57']
Exploring Operation: 57-43=14, Resulting Numbers: [14]
14,100 unequal: No Solution
Exploring Operation: 43+57=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[82, 33, 58, 43], Operations: []
Exploring Operation: 58-33=25, Resulting Numbers: [82, 43, 25]
Generated Node #0,2: 100:[82, 43, 25] Operation: 58-33=25
Moving to Node #0,2
Current State: 100:[82, 43, 25], Operations: ['58-33=25']
Exploring Operation: 82-25=57, Resulting Numbers: [43, 57]
Generated Node #0,2,0: 100:[43, 57] Operation: 82-25=57
Moving to Node #0,2,0
Current State: 100:[43, 57], Operations: ['58-33=25', '82-25=57']
Exploring Operation: 43+57=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.966146 |
hs_3
|
mult_heuristic
|
[
94,
88,
19,
26
] | 26 |
[
"94+88=182",
"26-19=7",
"182/7=26"
] |
Current State: 26:[94, 88, 19, 26], Operations: []
Exploring Operation: 94+88=182, Resulting Numbers: [19, 26, 182]
Generated Node #2: [19, 26, 182] from Operation: 94+88=182
Current State: 26:[19, 26, 182], Operations: ['94+88=182']
Exploring Operation: 26-19=7, Resulting Numbers: [182, 7]
Generated Node #3: [182, 7] from Operation: 26-19=7
Current State: 26:[182, 7], Operations: ['94+88=182', '26-19=7']
Exploring Operation: 182/7=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
Current State: 26:[94, 88, 19, 26], Operations: []
Exploring Operation: 94-88=6, Resulting Numbers: [19, 26, 6]
Generated Node #0,0: 26:[19, 26, 6] Operation: 94-88=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[19, 26, 6], Operations: ['94-88=6']
Exploring Operation: 19-6=13, Resulting Numbers: [26, 13]
Generated Node #0,0,0: 26:[26, 13] Operation: 19-6=13
Moving to Node #0,0,0
Current State: 26:[26, 13], Operations: ['94-88=6', '19-6=13']
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,26 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
|
[
95,
21,
29,
19
] | 10 |
[
"95/19=5",
"21+29=50",
"50/5=10"
] |
Current State: 10:[95, 21, 29, 19], Operations: []
Exploring Operation: 95/19=5, Resulting Numbers: [21, 29, 5]
Generated Node #2: [21, 29, 5] from Operation: 95/19=5
Current State: 10:[21, 29, 5], Operations: ['95/19=5']
Exploring Operation: 21+29=50, Resulting Numbers: [5, 50]
Generated Node #3: [5, 50] from Operation: 21+29=50
Current State: 10:[5, 50], Operations: ['95/19=5', '21+29=50']
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
Current State: 10:[95, 21, 29, 19], Operations: []
Exploring Operation: 95-21=74, Resulting Numbers: [29, 19, 74]
Generated Node #0,0: 10:[29, 19, 74] Operation: 95-21=74
Exploring Operation: 95-29=66, Resulting Numbers: [21, 19, 66]
Generated Node #0,1: 10:[21, 19, 66] Operation: 95-29=66
Exploring Operation: 95/19=5, Resulting Numbers: [21, 29, 5]
Generated Node #0,2: 10:[21, 29, 5] Operation: 95/19=5
Start Sub Search at level 1: Moving to Node #0,2
Current State: 10:[21, 29, 5], Operations: ['95/19=5']
Exploring Operation: 21-5=16, Resulting Numbers: [29, 16]
Generated Node #0,2,0: 10:[29, 16] Operation: 21-5=16
Exploring Operation: 29-21=8, Resulting Numbers: [5, 8]
Generated Node #0,2,1: 10:[5, 8] Operation: 29-21=8
Exploring Operation: 29-5=24, Resulting Numbers: [21, 24]
Generated Node #0,2,2: 10:[21, 24] Operation: 29-5=24
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 10:[5, 8], Operations: ['95/19=5', '29-21=8']
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,10 unequal: No Solution
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,10 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 10:[29, 16], Operations: ['95/19=5', '21-5=16']
Exploring Operation: 29-16=13, Resulting Numbers: [13]
13,10 unequal: No Solution
Exploring Operation: 29+16=45, Resulting Numbers: [45]
45,10 unequal: No Solution
Exploring Operation: 29*16=464, Resulting Numbers: [464]
464,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 10:[21, 24], Operations: ['95/19=5', '29-5=24']
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Exploring Operation: 21*24=504, Resulting Numbers: [504]
504,10 unequal: No Solution
Exploring Operation: 21+24=45, Resulting Numbers: [45]
45,10 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: 10:[21, 19, 66], Operations: ['95-29=66']
Exploring Operation: 66-19=47, Resulting Numbers: [21, 47]
Generated Node #0,1,0: 10:[21, 47] Operation: 66-19=47
Exploring Operation: 66-21=45, Resulting Numbers: [19, 45]
Generated Node #0,1,1: 10:[19, 45] Operation: 66-21=45
Exploring Operation: 21-19=2, Resulting Numbers: [66, 2]
Generated Node #0,1,2: 10:[66, 2] Operation: 21-19=2
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 10:[19, 45], Operations: ['95-29=66', '66-21=45']
Exploring Operation: 45-19=26, Resulting Numbers: [26]
26,10 unequal: No Solution
Exploring Operation: 19*45=855, Resulting Numbers: [855]
855,10 unequal: No Solution
Exploring Operation: 19+45=64, Resulting Numbers: [64]
64,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 10:[21, 47], Operations: ['95-29=66', '66-19=47']
Exploring Operation: 21*47=987, Resulting Numbers: [987]
987,10 unequal: No Solution
Exploring Operation: 47-21=26, Resulting Numbers: [26]
26,10 unequal: No Solution
Exploring Operation: 21+47=68, Resulting Numbers: [68]
68,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 10:[66, 2], Operations: ['95-29=66', '21-19=2']
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,10 unequal: No Solution
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,10 unequal: No Solution
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,10 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: 10:[29, 19, 74], Operations: ['95-21=74']
Exploring Operation: 29-19=10, Resulting Numbers: [74, 10]
Generated Node #0,0,0: 10:[74, 10] Operation: 29-19=10
Exploring Operation: 74-29=45, Resulting Numbers: [19, 45]
Generated Node #0,0,1: 10:[19, 45] Operation: 74-29=45
Exploring Operation: 74-19=55, Resulting Numbers: [29, 55]
Generated Node #0,0,2: 10:[29, 55] Operation: 74-19=55
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 10:[19, 45], Operations: ['95-21=74', '74-29=45']
Exploring Operation: 19*45=855, Resulting Numbers: [855]
855,10 unequal: No Solution
Exploring Operation: 19+45=64, Resulting Numbers: [64]
64,10 unequal: No Solution
Exploring Operation: 45-19=26, Resulting Numbers: [26]
26,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 10:[74, 10], Operations: ['95-21=74', '29-19=10']
Exploring Operation: 74-10=64, Resulting Numbers: [64]
64,10 unequal: No Solution
Exploring Operation: 74+10=84, Resulting Numbers: [84]
84,10 unequal: No Solution
Exploring Operation: 74*10=740, Resulting Numbers: [740]
740,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 10:[29, 55], Operations: ['95-21=74', '74-19=55']
Exploring Operation: 29+55=84, Resulting Numbers: [84]
84,10 unequal: No Solution
Exploring Operation: 55-29=26, Resulting Numbers: [26]
26,10 unequal: No Solution
Exploring Operation: 29*55=1595, Resulting Numbers: [1595]
1595,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
5,
77,
97,
63
] | 88 |
[
"77-5=72",
"97+63=160",
"160-72=88"
] |
Current State: 88:[5, 77, 97, 63], Operations: []
Exploring Operation: 77-5=72, Resulting Numbers: [97, 63, 72]
Generated Node #2: [97, 63, 72] from Operation: 77-5=72
Current State: 88:[97, 63, 72], Operations: ['77-5=72']
Exploring Operation: 97+63=160, Resulting Numbers: [72, 160]
Generated Node #3: [72, 160] from Operation: 97+63=160
Current State: 88:[72, 160], Operations: ['77-5=72', '97+63=160']
Exploring Operation: 160-72=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
Current State: 88:[5, 77, 97, 63], Operations: []
Exploring Operation: 5+77=82, Resulting Numbers: [97, 63, 82]
Generated Node #0,0: 88:[97, 63, 82] Operation: 5+77=82
Exploring Operation: 97-5=92, Resulting Numbers: [77, 63, 92]
Generated Node #0,1: 88:[77, 63, 92] Operation: 97-5=92
Exploring Operation: 97-77=20, Resulting Numbers: [5, 63, 20]
Generated Node #0,2: 88:[5, 63, 20] Operation: 97-77=20
Exploring Operation: 77-63=14, Resulting Numbers: [5, 97, 14]
Generated Node #0,3: 88:[5, 97, 14] Operation: 77-63=14
Exploring Operation: 97-63=34, Resulting Numbers: [5, 77, 34]
Generated Node #0,4: 88:[5, 77, 34] Operation: 97-63=34
Moving to Node #0,3
Current State: 88:[5, 97, 14], Operations: ['77-63=14']
Exploring Operation: 97-5=92, Resulting Numbers: [14, 92]
Generated Node #0,3,0: 88:[14, 92] Operation: 97-5=92
Exploring Operation: 5+14=19, Resulting Numbers: [97, 19]
Generated Node #0,3,1: 88:[97, 19] Operation: 5+14=19
Exploring Operation: 5+97=102, Resulting Numbers: [14, 102]
Generated Node #0,3,2: 88:[14, 102] Operation: 5+97=102
Exploring Operation: 14-5=9, Resulting Numbers: [97, 9]
Generated Node #0,3,3: 88:[97, 9] Operation: 14-5=9
Exploring Operation: 97-14=83, Resulting Numbers: [5, 83]
Generated Node #0,3,4: 88:[5, 83] Operation: 97-14=83
Moving to Node #0,4
Current State: 88:[5, 77, 34], Operations: ['97-63=34']
Exploring Operation: 34-5=29, Resulting Numbers: [77, 29]
Generated Node #0,4,0: 88:[77, 29] Operation: 34-5=29
Exploring Operation: 77-34=43, Resulting Numbers: [5, 43]
Generated Node #0,4,1: 88:[5, 43] Operation: 77-34=43
Exploring Operation: 5+77=82, Resulting Numbers: [34, 82]
Generated Node #0,4,2: 88:[34, 82] Operation: 5+77=82
Exploring Operation: 77+34=111, Resulting Numbers: [5, 111]
Generated Node #0,4,3: 88:[5, 111] Operation: 77+34=111
Exploring Operation: 5+34=39, Resulting Numbers: [77, 39]
Generated Node #0,4,4: 88:[77, 39] Operation: 5+34=39
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 88:[5, 43], Operations: ['97-63=34', '77-34=43']
Exploring Operation: 43-5=38, Resulting Numbers: [38]
38,88 unequal: No Solution
Exploring Operation: 5+43=48, Resulting Numbers: [48]
48,88 unequal: No Solution
Exploring Operation: 5*43=215, Resulting Numbers: [215]
215,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 88:[34, 82], Operations: ['97-63=34', '5+77=82']
Exploring Operation: 34*82=2788, Resulting Numbers: [2788]
2788,88 unequal: No Solution
Exploring Operation: 82-34=48, Resulting Numbers: [48]
48,88 unequal: No Solution
Exploring Operation: 34+82=116, Resulting Numbers: [116]
116,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 88:[77, 39], Operations: ['97-63=34', '5+34=39']
Exploring Operation: 77*39=3003, Resulting Numbers: [3003]
3003,88 unequal: No Solution
Exploring Operation: 77+39=116, Resulting Numbers: [116]
116,88 unequal: No Solution
Exploring Operation: 77-39=38, Resulting Numbers: [38]
38,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 88:[77, 29], Operations: ['97-63=34', '34-5=29']
Exploring Operation: 77-29=48, Resulting Numbers: [48]
48,88 unequal: No Solution
Exploring Operation: 77*29=2233, Resulting Numbers: [2233]
2233,88 unequal: No Solution
Exploring Operation: 77+29=106, Resulting Numbers: [106]
106,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 88:[5, 111], Operations: ['97-63=34', '77+34=111']
Exploring Operation: 5+111=116, Resulting Numbers: [116]
116,88 unequal: No Solution
Exploring Operation: 5*111=555, Resulting Numbers: [555]
555,88 unequal: No Solution
Exploring Operation: 111-5=106, Resulting Numbers: [106]
106,88 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: 88:[5, 63, 20], Operations: ['97-77=20']
Exploring Operation: 20/5=4, Resulting Numbers: [63, 4]
Generated Node #0,2,0: 88:[63, 4] Operation: 20/5=4
Exploring Operation: 63+20=83, Resulting Numbers: [5, 83]
Generated Node #0,2,1: 88:[5, 83] Operation: 63+20=83
Exploring Operation: 5+63=68, Resulting Numbers: [20, 68]
Generated Node #0,2,2: 88:[20, 68] Operation: 5+63=68
Exploring Operation: 63-20=43, Resulting Numbers: [5, 43]
Generated Node #0,2,3: 88:[5, 43] Operation: 63-20=43
Exploring Operation: 63-5=58, Resulting Numbers: [20, 58]
Generated Node #0,2,4: 88:[20, 58] Operation: 63-5=58
Moving to Node #0,0
Current State: 88:[97, 63, 82], Operations: ['5+77=82']
Exploring Operation: 97-82=15, Resulting Numbers: [63, 15]
Generated Node #0,0,0: 88:[63, 15] Operation: 97-82=15
Exploring Operation: 97+63=160, Resulting Numbers: [82, 160]
Generated Node #0,0,1: 88:[82, 160] Operation: 97+63=160
Exploring Operation: 82-63=19, Resulting Numbers: [97, 19]
Generated Node #0,0,2: 88:[97, 19] Operation: 82-63=19
Exploring Operation: 97-63=34, Resulting Numbers: [82, 34]
Generated Node #0,0,3: 88:[82, 34] Operation: 97-63=34
Exploring Operation: 63+82=145, Resulting Numbers: [97, 145]
Generated Node #0,0,4: 88:[97, 145] Operation: 63+82=145
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 88:[97, 19], Operations: ['5+77=82', '82-63=19']
Exploring Operation: 97*19=1843, Resulting Numbers: [1843]
1843,88 unequal: No Solution
Exploring Operation: 97-19=78, Resulting Numbers: [78]
78,88 unequal: No Solution
Exploring Operation: 97+19=116, Resulting Numbers: [116]
116,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 88:[82, 34], Operations: ['5+77=82', '97-63=34']
Exploring Operation: 82+34=116, Resulting Numbers: [116]
116,88 unequal: No Solution
Exploring Operation: 82*34=2788, Resulting Numbers: [2788]
2788,88 unequal: No Solution
Exploring Operation: 82-34=48, Resulting Numbers: [48]
48,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 88:[63, 15], Operations: ['5+77=82', '97-82=15']
Exploring Operation: 63-15=48, Resulting Numbers: [48]
48,88 unequal: No Solution
Exploring Operation: 63*15=945, Resulting Numbers: [945]
945,88 unequal: No Solution
Exploring Operation: 63+15=78, Resulting Numbers: [78]
78,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 88:[97, 145], Operations: ['5+77=82', '63+82=145']
Exploring Operation: 97+145=242, Resulting Numbers: [242]
242,88 unequal: No Solution
Exploring Operation: 145-97=48, Resulting Numbers: [48]
48,88 unequal: No Solution
Exploring Operation: 97*145=14065, Resulting Numbers: [14065]
14065,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 88:[82, 160], Operations: ['5+77=82', '97+63=160']
Exploring Operation: 82+160=242, Resulting Numbers: [242]
242,88 unequal: No Solution
Exploring Operation: 160-82=78, Resulting Numbers: [78]
78,88 unequal: No Solution
Exploring Operation: 82*160=13120, Resulting Numbers: [13120]
13120,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 88:[77, 63, 92], Operations: ['97-5=92']
Exploring Operation: 92-63=29, Resulting Numbers: [77, 29]
Generated Node #0,1,0: 88:[77, 29] Operation: 92-63=29
Exploring Operation: 92-77=15, Resulting Numbers: [63, 15]
Generated Node #0,1,1: 88:[63, 15] Operation: 92-77=15
Exploring Operation: 77-63=14, Resulting Numbers: [92, 14]
Generated Node #0,1,2: 88:[92, 14] Operation: 77-63=14
Exploring Operation: 63+92=155, Resulting Numbers: [77, 155]
Generated Node #0,1,3: 88:[77, 155] Operation: 63+92=155
Exploring Operation: 77+63=140, Resulting Numbers: [92, 140]
Generated Node #0,1,4: 88:[92, 140] Operation: 77+63=140
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 88:[92, 14], Operations: ['97-5=92', '77-63=14']
Exploring Operation: 92+14=106, Resulting Numbers: [106]
106,88 unequal: No Solution
Exploring Operation: 92*14=1288, Resulting Numbers: [1288]
1288,88 unequal: No Solution
Exploring Operation: 92-14=78, Resulting Numbers: [78]
78,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 88:[77, 29], Operations: ['97-5=92', '92-63=29']
Exploring Operation: 77-29=48, Resulting Numbers: [48]
48,88 unequal: No Solution
Exploring Operation: 77*29=2233, Resulting Numbers: [2233]
2233,88 unequal: No Solution
Exploring Operation: 77+29=106, Resulting Numbers: [106]
106,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 88:[63, 15], Operations: ['97-5=92', '92-77=15']
Exploring Operation: 63-15=48, Resulting Numbers: [48]
48,88 unequal: No Solution
Exploring Operation: 63+15=78, Resulting Numbers: [78]
78,88 unequal: No Solution
Exploring Operation: 63*15=945, Resulting Numbers: [945]
945,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 88:[92, 140], Operations: ['97-5=92', '77+63=140']
Exploring Operation: 140-92=48, Resulting Numbers: [48]
48,88 unequal: No Solution
Exploring Operation: 92*140=12880, Resulting Numbers: [12880]
12880,88 unequal: No Solution
Exploring Operation: 92+140=232, Resulting Numbers: [232]
232,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 88:[77, 155], Operations: ['97-5=92', '63+92=155']
Exploring Operation: 77+155=232, Resulting Numbers: [232]
232,88 unequal: No Solution
Exploring Operation: 77*155=11935, Resulting Numbers: [11935]
11935,88 unequal: No Solution
Exploring Operation: 155-77=78, Resulting Numbers: [78]
78,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,3
Current State: 88:[5, 43], Operations: ['97-77=20', '63-20=43']
Exploring Operation: 5+43=48, Resulting Numbers: [48]
48,88 unequal: No Solution
Exploring Operation: 43-5=38, Resulting Numbers: [38]
38,88 unequal: No Solution
Exploring Operation: 5*43=215, Resulting Numbers: [215]
215,88 unequal: No Solution
Moving to Node #0,3,4
Current State: 88:[5, 83], Operations: ['77-63=14', '97-14=83']
Exploring Operation: 5+83=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[5, 77, 97, 63], Operations: []
Exploring Operation: 77-63=14, Resulting Numbers: [5, 97, 14]
Generated Node #0,3: 88:[5, 97, 14] Operation: 77-63=14
Moving to Node #0,3
Current State: 88:[5, 97, 14], Operations: ['77-63=14']
Exploring Operation: 97-14=83, Resulting Numbers: [5, 83]
Generated Node #0,3,4: 88:[5, 83] Operation: 97-14=83
Moving to Node #0,3,4
Current State: 88:[5, 83], Operations: ['77-63=14', '97-14=83']
Exploring Operation: 5+83=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 0.927951 |
hs_5
|
sum_heuristic
|
[
10,
6,
29,
78
] | 86 |
[
"10+78=88",
"6*29=174",
"174-88=86"
] |
Current State: 86:[10, 6, 29, 78], Operations: []
Exploring Operation: 10+78=88, Resulting Numbers: [6, 29, 88]
Generated Node #2: [6, 29, 88] from Operation: 10+78=88
Current State: 86:[6, 29, 88], Operations: ['10+78=88']
Exploring Operation: 6*29=174, Resulting Numbers: [88, 174]
Generated Node #3: [88, 174] from Operation: 6*29=174
Current State: 86:[88, 174], Operations: ['10+78=88', '6*29=174']
Exploring Operation: 174-88=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
Current State: 86:[10, 6, 29, 78], Operations: []
Exploring Operation: 10+29=39, Resulting Numbers: [6, 78, 39]
Generated Node #0,0: 86:[6, 78, 39] Operation: 10+29=39
Exploring Operation: 78-29=49, Resulting Numbers: [10, 6, 49]
Generated Node #0,1: 86:[10, 6, 49] Operation: 78-29=49
Exploring Operation: 10-6=4, Resulting Numbers: [29, 78, 4]
Generated Node #0,2: 86:[29, 78, 4] Operation: 10-6=4
Exploring Operation: 10+78=88, Resulting Numbers: [6, 29, 88]
Generated Node #0,3: 86:[6, 29, 88] Operation: 10+78=88
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[6, 78, 39], Operations: ['10+29=39']
Exploring Operation: 6+78=84, Resulting Numbers: [39, 84]
Generated Node #0,0,0: 86:[39, 84] Operation: 6+78=84
Exploring Operation: 78-39=39, Resulting Numbers: [6, 39]
Generated Node #0,0,1: 86:[6, 39] Operation: 78-39=39
Exploring Operation: 78/39=2, Resulting Numbers: [6, 2]
Generated Node #0,0,2: 86:[6, 2] Operation: 78/39=2
Exploring Operation: 6+39=45, Resulting Numbers: [78, 45]
Generated Node #0,0,3: 86:[78, 45] Operation: 6+39=45
Moving to Node #0,0,2
Current State: 86:[6, 2], Operations: ['10+29=39', '78/39=2']
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,86 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,86 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,86 unequal: No Solution
Moving to Node #0,0,0
Current State: 86:[39, 84], Operations: ['10+29=39', '6+78=84']
Exploring Operation: 39+84=123, Resulting Numbers: [123]
123,86 unequal: No Solution
Exploring Operation: 39*84=3276, Resulting Numbers: [3276]
3276,86 unequal: No Solution
Exploring Operation: 84-39=45, Resulting Numbers: [45]
45,86 unequal: No Solution
Moving to Node #0,0,1
Current State: 86:[6, 39], Operations: ['10+29=39', '78-39=39']
Exploring Operation: 6*39=234, Resulting Numbers: [234]
234,86 unequal: No Solution
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,86 unequal: No Solution
Exploring Operation: 6+39=45, Resulting Numbers: [45]
45,86 unequal: No Solution
Moving to Node #0,0,3
Current State: 86:[78, 45], Operations: ['10+29=39', '6+39=45']
Exploring Operation: 78+45=123, Resulting Numbers: [123]
123,86 unequal: No Solution
Exploring Operation: 78-45=33, Resulting Numbers: [33]
33,86 unequal: No Solution
Exploring Operation: 78*45=3510, Resulting Numbers: [3510]
3510,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[10, 6, 49], Operations: ['78-29=49']
Exploring Operation: 49-6=43, Resulting Numbers: [10, 43]
Generated Node #0,1,0: 86:[10, 43] Operation: 49-6=43
Exploring Operation: 49-10=39, Resulting Numbers: [6, 39]
Generated Node #0,1,1: 86:[6, 39] Operation: 49-10=39
Exploring Operation: 10-6=4, Resulting Numbers: [49, 4]
Generated Node #0,1,2: 86:[49, 4] Operation: 10-6=4
Exploring Operation: 10+6=16, Resulting Numbers: [49, 16]
Generated Node #0,1,3: 86:[49, 16] Operation: 10+6=16
Moving to Node #0,1,0
Current State: 86:[10, 43], Operations: ['78-29=49', '49-6=43']
Exploring Operation: 10+43=53, Resulting Numbers: [53]
53,86 unequal: No Solution
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,86 unequal: No Solution
Exploring Operation: 10*43=430, Resulting Numbers: [430]
430,86 unequal: No Solution
Moving to Node #0,1,2
Current State: 86:[49, 4], Operations: ['78-29=49', '10-6=4']
Exploring Operation: 49*4=196, Resulting Numbers: [196]
196,86 unequal: No Solution
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,86 unequal: No Solution
Exploring Operation: 49+4=53, Resulting Numbers: [53]
53,86 unequal: No Solution
Moving to Node #0,1,1
Current State: 86:[6, 39], Operations: ['78-29=49', '49-10=39']
Exploring Operation: 6+39=45, Resulting Numbers: [45]
45,86 unequal: No Solution
Exploring Operation: 6*39=234, Resulting Numbers: [234]
234,86 unequal: No Solution
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,86 unequal: No Solution
Moving to Node #0,1,3
Current State: 86:[49, 16], Operations: ['78-29=49', '10+6=16']
Exploring Operation: 49-16=33, Resulting Numbers: [33]
33,86 unequal: No Solution
Exploring Operation: 49+16=65, Resulting Numbers: [65]
65,86 unequal: No Solution
Exploring Operation: 49*16=784, Resulting Numbers: [784]
784,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 86:[6, 29, 88], Operations: ['10+78=88']
Exploring Operation: 88-29=59, Resulting Numbers: [6, 59]
Generated Node #0,3,0: 86:[6, 59] Operation: 88-29=59
Exploring Operation: 88-6=82, Resulting Numbers: [29, 82]
Generated Node #0,3,1: 86:[29, 82] Operation: 88-6=82
Exploring Operation: 29-6=23, Resulting Numbers: [88, 23]
Generated Node #0,3,2: 86:[88, 23] Operation: 29-6=23
Exploring Operation: 6+29=35, Resulting Numbers: [88, 35]
Generated Node #0,3,3: 86:[88, 35] Operation: 6+29=35
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 86:[88, 35], Operations: ['10+78=88', '6+29=35']
Exploring Operation: 88+35=123, Resulting Numbers: [123]
123,86 unequal: No Solution
Exploring Operation: 88*35=3080, Resulting Numbers: [3080]
3080,86 unequal: No Solution
Exploring Operation: 88-35=53, Resulting Numbers: [53]
53,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 86:[29, 82], Operations: ['10+78=88', '88-6=82']
Exploring Operation: 29+82=111, Resulting Numbers: [111]
111,86 unequal: No Solution
Exploring Operation: 29*82=2378, Resulting Numbers: [2378]
2378,86 unequal: No Solution
Exploring Operation: 82-29=53, Resulting Numbers: [53]
53,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 86:[6, 59], Operations: ['10+78=88', '88-29=59']
Exploring Operation: 6+59=65, Resulting Numbers: [65]
65,86 unequal: No Solution
Exploring Operation: 6*59=354, Resulting Numbers: [354]
354,86 unequal: No Solution
Exploring Operation: 59-6=53, Resulting Numbers: [53]
53,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 86:[88, 23], Operations: ['10+78=88', '29-6=23']
Exploring Operation: 88+23=111, Resulting Numbers: [111]
111,86 unequal: No Solution
Exploring Operation: 88*23=2024, Resulting Numbers: [2024]
2024,86 unequal: No Solution
Exploring Operation: 88-23=65, Resulting Numbers: [65]
65,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 86:[29, 78, 4], Operations: ['10-6=4']
Exploring Operation: 78-29=49, Resulting Numbers: [4, 49]
Generated Node #0,2,0: 86:[4, 49] Operation: 78-29=49
Exploring Operation: 29+4=33, Resulting Numbers: [78, 33]
Generated Node #0,2,1: 86:[78, 33] Operation: 29+4=33
Exploring Operation: 78+4=82, Resulting Numbers: [29, 82]
Generated Node #0,2,2: 86:[29, 82] Operation: 78+4=82
Exploring Operation: 29+78=107, Resulting Numbers: [4, 107]
Generated Node #0,2,3: 86:[4, 107] Operation: 29+78=107
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 86:[4, 49], Operations: ['10-6=4', '78-29=49']
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,86 unequal: No Solution
Exploring Operation: 4*49=196, Resulting Numbers: [196]
196,86 unequal: No Solution
Exploring Operation: 4+49=53, Resulting Numbers: [53]
53,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 86:[78, 33], Operations: ['10-6=4', '29+4=33']
Exploring Operation: 78+33=111, Resulting Numbers: [111]
111,86 unequal: No Solution
Exploring Operation: 78-33=45, Resulting Numbers: [45]
45,86 unequal: No Solution
Exploring Operation: 78*33=2574, Resulting Numbers: [2574]
2574,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 86:[29, 82], Operations: ['10-6=4', '78+4=82']
Exploring Operation: 29+82=111, Resulting Numbers: [111]
111,86 unequal: No Solution
Exploring Operation: 29*82=2378, Resulting Numbers: [2378]
2378,86 unequal: No Solution
Exploring Operation: 82-29=53, Resulting Numbers: [53]
53,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 86:[4, 107], Operations: ['10-6=4', '29+78=107']
Exploring Operation: 4*107=428, Resulting Numbers: [428]
428,86 unequal: No Solution
Exploring Operation: 4+107=111, Resulting Numbers: [111]
111,86 unequal: No Solution
Exploring Operation: 107-4=103, Resulting Numbers: [103]
103,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
35,
74,
3,
14
] | 15 |
[
"74-14=60",
"60/3=20",
"35-20=15"
] |
Current State: 15:[35, 74, 3, 14], Operations: []
Exploring Operation: 74-14=60, Resulting Numbers: [35, 3, 60]
Generated Node #2: [35, 3, 60] from Operation: 74-14=60
Current State: 15:[35, 3, 60], Operations: ['74-14=60']
Exploring Operation: 60/3=20, Resulting Numbers: [35, 20]
Generated Node #3: [35, 20] from Operation: 60/3=20
Current State: 15:[35, 20], Operations: ['74-14=60', '60/3=20']
Exploring Operation: 35-20=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
Current State: 15:[35, 74, 3, 14], Operations: []
Exploring Operation: 74-35=39, Resulting Numbers: [3, 14, 39]
Generated Node #0,0: 15:[3, 14, 39] Operation: 74-35=39
Exploring Operation: 74-14=60, Resulting Numbers: [35, 3, 60]
Generated Node #0,1: 15:[35, 3, 60] Operation: 74-14=60
Exploring Operation: 35-14=21, Resulting Numbers: [74, 3, 21]
Generated Node #0,2: 15:[74, 3, 21] Operation: 35-14=21
Moving to Node #0,0
Current State: 15:[3, 14, 39], Operations: ['74-35=39']
Exploring Operation: 39-3=36, Resulting Numbers: [14, 36]
Generated Node #0,0,0: 15:[14, 36] Operation: 39-3=36
Exploring Operation: 39-14=25, Resulting Numbers: [3, 25]
Generated Node #0,0,1: 15:[3, 25] Operation: 39-14=25
Exploring Operation: 39/3=13, Resulting Numbers: [14, 13]
Generated Node #0,0,2: 15:[14, 13] Operation: 39/3=13
Moving to Node #0,1
Current State: 15:[35, 3, 60], Operations: ['74-14=60']
Exploring Operation: 35-3=32, Resulting Numbers: [60, 32]
Generated Node #0,1,0: 15:[60, 32] Operation: 35-3=32
Exploring Operation: 60-35=25, Resulting Numbers: [3, 25]
Generated Node #0,1,1: 15:[3, 25] Operation: 60-35=25
Exploring Operation: 60/3=20, Resulting Numbers: [35, 20]
Generated Node #0,1,2: 15:[35, 20] Operation: 60/3=20
Moving to Node #0,2
Current State: 15:[74, 3, 21], Operations: ['35-14=21']
Exploring Operation: 74-21=53, Resulting Numbers: [3, 53]
Generated Node #0,2,0: 15:[3, 53] Operation: 74-21=53
Exploring Operation: 74-3=71, Resulting Numbers: [21, 71]
Generated Node #0,2,1: 15:[21, 71] Operation: 74-3=71
Exploring Operation: 21/3=7, Resulting Numbers: [74, 7]
Generated Node #0,2,2: 15:[74, 7] Operation: 21/3=7
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 15:[3, 53], Operations: ['35-14=21', '74-21=53']
Exploring Operation: 3*53=159, Resulting Numbers: [159]
159,15 unequal: No Solution
Exploring Operation: 53-3=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Exploring Operation: 3+53=56, Resulting Numbers: [56]
56,15 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:[74, 7], Operations: ['35-14=21', '21/3=7']
Exploring Operation: 74*7=518, Resulting Numbers: [518]
518,15 unequal: No Solution
Exploring Operation: 74+7=81, Resulting Numbers: [81]
81,15 unequal: No Solution
Exploring Operation: 74-7=67, Resulting Numbers: [67]
67,15 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:[21, 71], Operations: ['35-14=21', '74-3=71']
Exploring Operation: 21+71=92, Resulting Numbers: [92]
92,15 unequal: No Solution
Exploring Operation: 71-21=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Exploring Operation: 21*71=1491, Resulting Numbers: [1491]
1491,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 15:[14, 13], Operations: ['74-35=39', '39/3=13']
Exploring Operation: 14+13=27, Resulting Numbers: [27]
27,15 unequal: No Solution
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Exploring Operation: 14*13=182, Resulting Numbers: [182]
182,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[3, 25], Operations: ['74-35=39', '39-14=25']
Exploring Operation: 3+25=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Exploring Operation: 3*25=75, Resulting Numbers: [75]
75,15 unequal: No Solution
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,15 unequal: No Solution
Moving to Node #0,1,1
Current State: 15:[3, 25], Operations: ['74-14=60', '60-35=25']
Exploring Operation: 3+25=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,15 unequal: No Solution
Exploring Operation: 3*25=75, Resulting Numbers: [75]
75,15 unequal: No Solution
Moving to Node #0,0,0
Current State: 15:[14, 36], Operations: ['74-35=39', '39-3=36']
Exploring Operation: 14*36=504, Resulting Numbers: [504]
504,15 unequal: No Solution
Exploring Operation: 36-14=22, Resulting Numbers: [22]
22,15 unequal: No Solution
Exploring Operation: 14+36=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Moving to Node #0,1,2
Current State: 15:[35, 20], Operations: ['74-14=60', '60/3=20']
Exploring Operation: 35-20=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[35, 74, 3, 14], Operations: []
Exploring Operation: 74-14=60, Resulting Numbers: [35, 3, 60]
Generated Node #0,1: 15:[35, 3, 60] Operation: 74-14=60
Moving to Node #0,1
Current State: 15:[35, 3, 60], Operations: ['74-14=60']
Exploring Operation: 60/3=20, Resulting Numbers: [35, 20]
Generated Node #0,1,2: 15:[35, 20] Operation: 60/3=20
Moving to Node #0,1,2
Current State: 15:[35, 20], Operations: ['74-14=60', '60/3=20']
Exploring Operation: 35-20=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 0.967014 |
hs_3
|
sum_heuristic
|
[
18,
46,
56,
47
] | 55 |
[
"18+46=64",
"56-47=9",
"64-9=55"
] |
Current State: 55:[18, 46, 56, 47], Operations: []
Exploring Operation: 18+46=64, Resulting Numbers: [56, 47, 64]
Generated Node #2: [56, 47, 64] from Operation: 18+46=64
Current State: 55:[56, 47, 64], Operations: ['18+46=64']
Exploring Operation: 56-47=9, Resulting Numbers: [64, 9]
Generated Node #3: [64, 9] from Operation: 56-47=9
Current State: 55:[64, 9], Operations: ['18+46=64', '56-47=9']
Exploring Operation: 64-9=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
Current State: 55:[18, 46, 56, 47], Operations: []
Exploring Operation: 18+47=65, Resulting Numbers: [46, 56, 65]
Generated Node #0,0: 55:[46, 56, 65] Operation: 18+47=65
Exploring Operation: 18+46=64, Resulting Numbers: [56, 47, 64]
Generated Node #0,1: 55:[56, 47, 64] Operation: 18+46=64
Exploring Operation: 56-46=10, Resulting Numbers: [18, 47, 10]
Generated Node #0,2: 55:[18, 47, 10] Operation: 56-46=10
Exploring Operation: 56-47=9, Resulting Numbers: [18, 46, 9]
Generated Node #0,3: 55:[18, 46, 9] Operation: 56-47=9
Exploring Operation: 47-46=1, Resulting Numbers: [18, 56, 1]
Generated Node #0,4: 55:[18, 56, 1] Operation: 47-46=1
Start Sub Search at level 1: Moving to Node #0,4
Current State: 55:[18, 56, 1], Operations: ['47-46=1']
Exploring Operation: 18/1=18, Resulting Numbers: [56, 18]
Generated Node #0,4,0: 55:[56, 18] Operation: 18/1=18
Exploring Operation: 56*1=56, Resulting Numbers: [18, 56]
Generated Node #0,4,1: 55:[18, 56] Operation: 56*1=56
Exploring Operation: 18*1=18, Resulting Numbers: [56, 18]
Generated Node #0,4,2: 55:[56, 18] Operation: 18*1=18
Exploring Operation: 18-1=17, Resulting Numbers: [56, 17]
Generated Node #0,4,3: 55:[56, 17] Operation: 18-1=17
Exploring Operation: 56-1=55, Resulting Numbers: [18, 55]
Generated Node #0,4,4: 55:[18, 55] Operation: 56-1=55
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 55:[56, 17], Operations: ['47-46=1', '18-1=17']
Exploring Operation: 56+17=73, Resulting Numbers: [73]
73,55 unequal: No Solution
Exploring Operation: 56*17=952, Resulting Numbers: [952]
952,55 unequal: No Solution
Exploring Operation: 56-17=39, Resulting Numbers: [39]
39,55 unequal: No Solution
No 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: 55:[18, 55], Operations: ['47-46=1', '56-1=55']
Exploring Operation: 55-18=37, Resulting Numbers: [37]
37,55 unequal: No Solution
Exploring Operation: 18+55=73, Resulting Numbers: [73]
73,55 unequal: No Solution
Exploring Operation: 18*55=990, Resulting Numbers: [990]
990,55 unequal: No Solution
No 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: 55:[56, 18], Operations: ['47-46=1', '18/1=18']
Exploring Operation: 56-18=38, Resulting Numbers: [38]
38,55 unequal: No Solution
Exploring Operation: 56+18=74, Resulting Numbers: [74]
74,55 unequal: No Solution
Exploring Operation: 56*18=1008, Resulting Numbers: [1008]
1008,55 unequal: No Solution
No 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: 55:[18, 56], Operations: ['47-46=1', '56*1=56']
Exploring Operation: 18*56=1008, Resulting Numbers: [1008]
1008,55 unequal: No Solution
Exploring Operation: 56-18=38, Resulting Numbers: [38]
38,55 unequal: No Solution
Exploring Operation: 18+56=74, Resulting Numbers: [74]
74,55 unequal: No Solution
No 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: 55:[56, 18], Operations: ['47-46=1', '18*1=18']
Exploring Operation: 56+18=74, Resulting Numbers: [74]
74,55 unequal: No Solution
Exploring Operation: 56*18=1008, Resulting Numbers: [1008]
1008,55 unequal: No Solution
Exploring Operation: 56-18=38, Resulting Numbers: [38]
38,55 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: 55:[18, 47, 10], Operations: ['56-46=10']
Exploring Operation: 18+47=65, Resulting Numbers: [10, 65]
Generated Node #0,2,0: 55:[10, 65] Operation: 18+47=65
Exploring Operation: 47-18=29, Resulting Numbers: [10, 29]
Generated Node #0,2,1: 55:[10, 29] Operation: 47-18=29
Exploring Operation: 47+10=57, Resulting Numbers: [18, 57]
Generated Node #0,2,2: 55:[18, 57] Operation: 47+10=57
Exploring Operation: 18-10=8, Resulting Numbers: [47, 8]
Generated Node #0,2,3: 55:[47, 8] Operation: 18-10=8
Exploring Operation: 18+10=28, Resulting Numbers: [47, 28]
Generated Node #0,2,4: 55:[47, 28] Operation: 18+10=28
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 55:[18, 57], Operations: ['56-46=10', '47+10=57']
Exploring Operation: 18*57=1026, Resulting Numbers: [1026]
1026,55 unequal: No Solution
Exploring Operation: 18+57=75, Resulting Numbers: [75]
75,55 unequal: No Solution
Exploring Operation: 57-18=39, Resulting Numbers: [39]
39,55 unequal: No Solution
No 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: 55:[10, 65], Operations: ['56-46=10', '18+47=65']
Exploring Operation: 10*65=650, Resulting Numbers: [650]
650,55 unequal: No Solution
Exploring Operation: 65-10=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[18, 46, 56, 47], Operations: []
Exploring Operation: 56-46=10, Resulting Numbers: [18, 47, 10]
Generated Node #0,2: 55:[18, 47, 10] Operation: 56-46=10
Moving to Node #0,2
Current State: 55:[18, 47, 10], Operations: ['56-46=10']
Exploring Operation: 18+47=65, Resulting Numbers: [10, 65]
Generated Node #0,2,0: 55:[10, 65] Operation: 18+47=65
Moving to Node #0,2,0
Current State: 55:[10, 65], Operations: ['56-46=10', '18+47=65']
Exploring Operation: 65-10=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.966146 |
hs_5
|
sum_heuristic
|
[
55,
66,
52,
66
] | 88 |
[
"55-52=3",
"66/3=22",
"66+22=88"
] |
Current State: 88:[55, 66, 52, 66], Operations: []
Exploring Operation: 55-52=3, Resulting Numbers: [66, 66, 3]
Generated Node #2: [66, 66, 3] from Operation: 55-52=3
Current State: 88:[66, 66, 3], Operations: ['55-52=3']
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,88 equal: Goal Reached
Exploring Operation: 66+22=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
Current State: 88:[55, 66, 52, 66], Operations: []
Exploring Operation: 66-52=14, Resulting Numbers: [55, 66, 14]
Generated Node #0,0: 88:[55, 66, 14] Operation: 66-52=14
Exploring Operation: 66/66=1, Resulting Numbers: [55, 52, 1]
Generated Node #0,1: 88:[55, 52, 1] Operation: 66/66=1
Exploring Operation: 66-55=11, Resulting Numbers: [66, 52, 11]
Generated Node #0,2: 88:[66, 52, 11] Operation: 66-55=11
Exploring Operation: 66-55=11, Resulting Numbers: [52, 66, 11]
Generated Node #0,3: 88:[52, 66, 11] Operation: 66-55=11
Exploring Operation: 66-66=0, Resulting Numbers: [55, 52, 0]
Generated Node #0,4: 88:[55, 52, 0] Operation: 66-66=0
Start Sub Search at level 1: Moving to Node #0,1
Current State: 88:[55, 52, 1], Operations: ['66/66=1']
Exploring Operation: 55-1=54, Resulting Numbers: [52, 54]
Generated Node #0,1,0: 88:[52, 54] Operation: 55-1=54
Exploring Operation: 52-1=51, Resulting Numbers: [55, 51]
Generated Node #0,1,1: 88:[55, 51] Operation: 52-1=51
Exploring Operation: 55*1=55, Resulting Numbers: [52, 55]
Generated Node #0,1,2: 88:[52, 55] Operation: 55*1=55
Exploring Operation: 55-52=3, Resulting Numbers: [1, 3]
Generated Node #0,1,3: 88:[1, 3] Operation: 55-52=3
Exploring Operation: 55/1=55, Resulting Numbers: [52, 55]
Generated Node #0,1,4: 88:[52, 55] Operation: 55/1=55
Moving to Node #0,1,3
Current State: 88:[1, 3], Operations: ['66/66=1', '55-52=3']
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,88 unequal: No Solution
Exploring Operation: 1+3=4, Resulting Numbers: [4]
4,88 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Exploring Operation: 1*3=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Moving to Node #0,1,1
Current State: 88:[55, 51], Operations: ['66/66=1', '52-1=51']
Exploring Operation: 55*51=2805, Resulting Numbers: [2805]
2805,88 unequal: No Solution
Exploring Operation: 55+51=106, Resulting Numbers: [106]
106,88 unequal: No Solution
Exploring Operation: 55-51=4, Resulting Numbers: [4]
4,88 unequal: No Solution
Moving to Node #0,1,0
Current State: 88:[52, 54], Operations: ['66/66=1', '55-1=54']
Exploring Operation: 52*54=2808, Resulting Numbers: [2808]
2808,88 unequal: No Solution
Exploring Operation: 52+54=106, Resulting Numbers: [106]
106,88 unequal: No Solution
Exploring Operation: 54-52=2, Resulting Numbers: [2]
2,88 unequal: No Solution
Moving to Node #0,1,2
Current State: 88:[52, 55], Operations: ['66/66=1', '55*1=55']
Exploring Operation: 52+55=107, Resulting Numbers: [107]
107,88 unequal: No Solution
Exploring Operation: 55-52=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Exploring Operation: 52*55=2860, Resulting Numbers: [2860]
2860,88 unequal: No Solution
Moving to Node #0,1,4
Current State: 88:[52, 55], Operations: ['66/66=1', '55/1=55']
Exploring Operation: 52*55=2860, Resulting Numbers: [2860]
2860,88 unequal: No Solution
Exploring Operation: 55-52=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Exploring Operation: 52+55=107, Resulting Numbers: [107]
107,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 88:[55, 52, 0], Operations: ['66-66=0']
Exploring Operation: 55-52=3, Resulting Numbers: [0, 3]
Generated Node #0,4,0: 88:[0, 3] Operation: 55-52=3
Exploring Operation: 55*0=0, Resulting Numbers: [52, 0]
Generated Node #0,4,1: 88:[52, 0] Operation: 55*0=0
Exploring Operation: 55+0=55, Resulting Numbers: [52, 55]
Generated Node #0,4,2: 88:[52, 55] Operation: 55+0=55
Exploring Operation: 55-0=55, Resulting Numbers: [52, 55]
Generated Node #0,4,3: 88:[52, 55] Operation: 55-0=55
Exploring Operation: 52*0=0, Resulting Numbers: [55, 0]
Generated Node #0,4,4: 88:[55, 0] Operation: 52*0=0
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 88:[0, 3], Operations: ['66-66=0', '55-52=3']
Exploring Operation: 3-0=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Exploring Operation: 0*3=0, Resulting Numbers: [0]
0,88 unequal: No Solution
Exploring Operation: 0+3=3, Resulting Numbers: [3]
3,88 unequal: No Solution
No 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: 88:[52, 0], Operations: ['66-66=0', '55*0=0']
Exploring Operation: 52+0=52, Resulting Numbers: [52]
52,88 unequal: No Solution
Exploring Operation: 52-0=52, Resulting Numbers: [52]
52,88 unequal: No Solution
Exploring Operation: 52*0=0, Resulting Numbers: [0]
0,88 unequal: No Solution
No 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: 88:[55, 0], Operations: ['66-66=0', '52*0=0']
Exploring Operation: 55*0=0, Resulting Numbers: [0]
0,88 unequal: No Solution
Exploring Operation: 55-0=55, Resulting Numbers: [55]
55,88 unequal: No Solution
Exploring Operation: 55+0=55, Resulting Numbers: [55]
55,88 unequal: No Solution
No 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: 88:[52, 55], Operations: ['66-66=0', '55+0=55']
Exploring Operation: 55-52=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Exploring Operation: 52*55=2860, Resulting Numbers: [2860]
2860,88 unequal: No Solution
Exploring Operation: 52+55=107, Resulting Numbers: [107]
107,88 unequal: No Solution
No 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: 88:[52, 55], Operations: ['66-66=0', '55-0=55']
Exploring Operation: 52+55=107, Resulting Numbers: [107]
107,88 unequal: No Solution
Exploring Operation: 52*55=2860, Resulting Numbers: [2860]
2860,88 unequal: No Solution
Exploring Operation: 55-52=3, Resulting Numbers: [3]
3,88 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: 88:[66, 52, 11], Operations: ['66-55=11']
Exploring Operation: 52-11=41, Resulting Numbers: [66, 41]
Generated Node #0,2,0: 88:[66, 41] Operation: 52-11=41
Exploring Operation: 66-11=55, Resulting Numbers: [52, 55]
Generated Node #0,2,1: 88:[52, 55] Operation: 66-11=55
Exploring Operation: 66+11=77, Resulting Numbers: [52, 77]
Generated Node #0,2,2: 88:[52, 77] Operation: 66+11=77
Exploring Operation: 66/11=6, Resulting Numbers: [52, 6]
Generated Node #0,2,3: 88:[52, 6] Operation: 66/11=6
Exploring Operation: 66-52=14, Resulting Numbers: [11, 14]
Generated Node #0,2,4: 88:[11, 14] Operation: 66-52=14
Moving to Node #0,2,4
Current State: 88:[11, 14], Operations: ['66-55=11', '66-52=14']
Exploring Operation: 11+14=25, Resulting Numbers: [25]
25,88 unequal: No Solution
Exploring Operation: 11*14=154, Resulting Numbers: [154]
154,88 unequal: No Solution
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Moving to Node #0,2,3
Current State: 88:[52, 6], Operations: ['66-55=11', '66/11=6']
Exploring Operation: 52+6=58, Resulting Numbers: [58]
58,88 unequal: No Solution
Exploring Operation: 52*6=312, Resulting Numbers: [312]
312,88 unequal: No Solution
Exploring Operation: 52-6=46, Resulting Numbers: [46]
46,88 unequal: No Solution
Moving to Node #0,2,1
Current State: 88:[52, 55], Operations: ['66-55=11', '66-11=55']
Exploring Operation: 52*55=2860, Resulting Numbers: [2860]
2860,88 unequal: No Solution
Exploring Operation: 55-52=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Exploring Operation: 52+55=107, Resulting Numbers: [107]
107,88 unequal: No Solution
Moving to Node #0,2,2
Current State: 88:[52, 77], Operations: ['66-55=11', '66+11=77']
Exploring Operation: 52*77=4004, Resulting Numbers: [4004]
4004,88 unequal: No Solution
Exploring Operation: 52+77=129, Resulting Numbers: [129]
129,88 unequal: No Solution
Exploring Operation: 77-52=25, Resulting Numbers: [25]
25,88 unequal: No Solution
Moving to Node #0,2,0
Current State: 88:[66, 41], Operations: ['66-55=11', '52-11=41']
Exploring Operation: 66-41=25, Resulting Numbers: [25]
25,88 unequal: No Solution
Exploring Operation: 66+41=107, Resulting Numbers: [107]
107,88 unequal: No Solution
Exploring Operation: 66*41=2706, Resulting Numbers: [2706]
2706,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 88:[52, 66, 11], Operations: ['66-55=11']
Exploring Operation: 66/11=6, Resulting Numbers: [52, 6]
Generated Node #0,3,0: 88:[52, 6] Operation: 66/11=6
Exploring Operation: 66-11=55, Resulting Numbers: [52, 55]
Generated Node #0,3,1: 88:[52, 55] Operation: 66-11=55
Exploring Operation: 66+11=77, Resulting Numbers: [52, 77]
Generated Node #0,3,2: 88:[52, 77] Operation: 66+11=77
Exploring Operation: 66-52=14, Resulting Numbers: [11, 14]
Generated Node #0,3,3: 88:[11, 14] Operation: 66-52=14
Exploring Operation: 52-11=41, Resulting Numbers: [66, 41]
Generated Node #0,3,4: 88:[66, 41] Operation: 52-11=41
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 88:[11, 14], Operations: ['66-55=11', '66-52=14']
Exploring Operation: 11+14=25, Resulting Numbers: [25]
25,88 unequal: No Solution
Exploring Operation: 11*14=154, Resulting Numbers: [154]
154,88 unequal: No Solution
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,88 unequal: No Solution
No 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: 88:[52, 6], Operations: ['66-55=11', '66/11=6']
Exploring Operation: 52+6=58, Resulting Numbers: [58]
58,88 unequal: No Solution
Exploring Operation: 52*6=312, Resulting Numbers: [312]
312,88 unequal: No Solution
Exploring Operation: 52-6=46, Resulting Numbers: [46]
46,88 unequal: No Solution
No 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: 88:[52, 55], Operations: ['66-55=11', '66-11=55']
Exploring Operation: 52+55=107, Resulting Numbers: [107]
107,88 unequal: No Solution
Exploring Operation: 52*55=2860, Resulting Numbers: [2860]
2860,88 unequal: No Solution
Exploring Operation: 55-52=3, Resulting Numbers: [3]
3,88 unequal: No Solution
No 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: 88:[52, 77], Operations: ['66-55=11', '66+11=77']
Exploring Operation: 52*77=4004, Resulting Numbers: [4004]
4004,88 unequal: No Solution
Exploring Operation: 77-52=25, Resulting Numbers: [25]
25,88 unequal: No Solution
Exploring Operation: 52+77=129, Resulting Numbers: [129]
129,88 unequal: No Solution
No 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: 88:[66, 41], Operations: ['66-55=11', '52-11=41']
Exploring Operation: 66*41=2706, Resulting Numbers: [2706]
2706,88 unequal: No Solution
Exploring Operation: 66-41=25, Resulting Numbers: [25]
25,88 unequal: No Solution
Exploring Operation: 66+41=107, Resulting Numbers: [107]
107,88 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: 88:[55, 66, 14], Operations: ['66-52=14']
Exploring Operation: 55+66=121, Resulting Numbers: [14, 121]
Generated Node #0,0,0: 88:[14, 121] Operation: 55+66=121
Exploring Operation: 55-14=41, Resulting Numbers: [66, 41]
Generated Node #0,0,1: 88:[66, 41] Operation: 55-14=41
Exploring Operation: 66-55=11, Resulting Numbers: [14, 11]
Generated Node #0,0,2: 88:[14, 11] Operation: 66-55=11
Exploring Operation: 66-14=52, Resulting Numbers: [55, 52]
Generated Node #0,0,3: 88:[55, 52] Operation: 66-14=52
Exploring Operation: 66+14=80, Resulting Numbers: [55, 80]
Generated Node #0,0,4: 88:[55, 80] Operation: 66+14=80
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 88:[14, 11], Operations: ['66-52=14', '66-55=11']
Exploring Operation: 14+11=25, Resulting Numbers: [25]
25,88 unequal: No Solution
Exploring Operation: 14*11=154, Resulting Numbers: [154]
154,88 unequal: No Solution
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,88 unequal: No Solution
No 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: 88:[55, 52], Operations: ['66-52=14', '66-14=52']
Exploring Operation: 55*52=2860, Resulting Numbers: [2860]
2860,88 unequal: No Solution
Exploring Operation: 55+52=107, Resulting Numbers: [107]
107,88 unequal: No Solution
Exploring Operation: 55-52=3, Resulting Numbers: [3]
3,88 unequal: No Solution
No 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: 88:[55, 80], Operations: ['66-52=14', '66+14=80']
Exploring Operation: 55*80=4400, Resulting Numbers: [4400]
4400,88 unequal: No Solution
Exploring Operation: 80-55=25, Resulting Numbers: [25]
25,88 unequal: No Solution
Exploring Operation: 55+80=135, Resulting Numbers: [135]
135,88 unequal: No Solution
No 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: 88:[66, 41], Operations: ['66-52=14', '55-14=41']
Exploring Operation: 66+41=107, Resulting Numbers: [107]
107,88 unequal: No Solution
Exploring Operation: 66*41=2706, Resulting Numbers: [2706]
2706,88 unequal: No Solution
Exploring Operation: 66-41=25, Resulting Numbers: [25]
25,88 unequal: No Solution
No 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: 88:[14, 121], Operations: ['66-52=14', '55+66=121']
Exploring Operation: 14*121=1694, Resulting Numbers: [1694]
1694,88 unequal: No Solution
Exploring Operation: 14+121=135, Resulting Numbers: [135]
135,88 unequal: No Solution
Exploring Operation: 121-14=107, Resulting Numbers: [107]
107,88 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
|
[
48,
40,
95,
90
] | 56 |
[
"95-90=5",
"40/5=8",
"48+8=56"
] |
Current State: 56:[48, 40, 95, 90], Operations: []
Exploring Operation: 95-90=5, Resulting Numbers: [48, 40, 5]
Generated Node #2: [48, 40, 5] from Operation: 95-90=5
Current State: 56:[48, 40, 5], Operations: ['95-90=5']
Exploring Operation: 40/5=8, Resulting Numbers: [48, 8]
Generated Node #3: [48, 8] from Operation: 40/5=8
Current State: 56:[48, 8], Operations: ['95-90=5', '40/5=8']
Exploring Operation: 48+8=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
Current State: 56:[48, 40, 95, 90], Operations: []
Exploring Operation: 95-48=47, Resulting Numbers: [40, 90, 47]
Generated Node #0,0: 56:[40, 90, 47] Operation: 95-48=47
Exploring Operation: 90-40=50, Resulting Numbers: [48, 95, 50]
Generated Node #0,1: 56:[48, 95, 50] Operation: 90-40=50
Exploring Operation: 95-90=5, Resulting Numbers: [48, 40, 5]
Generated Node #0,2: 56:[48, 40, 5] Operation: 95-90=5
Exploring Operation: 95-40=55, Resulting Numbers: [48, 90, 55]
Generated Node #0,3: 56:[48, 90, 55] Operation: 95-40=55
Start Sub Search at level 1: Moving to Node #0,2
Current State: 56:[48, 40, 5], Operations: ['95-90=5']
Exploring Operation: 48-40=8, Resulting Numbers: [5, 8]
Generated Node #0,2,0: 56:[5, 8] Operation: 48-40=8
Exploring Operation: 40-5=35, Resulting Numbers: [48, 35]
Generated Node #0,2,1: 56:[48, 35] Operation: 40-5=35
Exploring Operation: 48+5=53, Resulting Numbers: [40, 53]
Generated Node #0,2,2: 56:[40, 53] Operation: 48+5=53
Exploring Operation: 40/5=8, Resulting Numbers: [48, 8]
Generated Node #0,2,3: 56:[48, 8] Operation: 40/5=8
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 56:[5, 8], Operations: ['95-90=5', '48-40=8']
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,56 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,56 unequal: No Solution
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,56 unequal: No Solution
No 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: 56:[48, 8], Operations: ['95-90=5', '40/5=8']
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,56 unequal: No Solution
Exploring Operation: 48*8=384, Resulting Numbers: [384]
384,56 unequal: No Solution
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,56 unequal: No Solution
Exploring Operation: 48+8=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[48, 40, 95, 90], Operations: []
Exploring Operation: 95-90=5, Resulting Numbers: [48, 40, 5]
Generated Node #0,2: 56:[48, 40, 5] Operation: 95-90=5
Moving to Node #0,2
Current State: 56:[48, 40, 5], Operations: ['95-90=5']
Exploring Operation: 40/5=8, Resulting Numbers: [48, 8]
Generated Node #0,2,3: 56:[48, 8] Operation: 40/5=8
Moving to Node #0,2,3
Current State: 56:[48, 8], Operations: ['95-90=5', '40/5=8']
Exploring Operation: 48+8=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 |
hs_4
|
mult_heuristic
|
[
98,
81,
73,
95
] | 45 |
[
"98+73=171",
"81*95=7695",
"7695/171=45"
] |
Current State: 45:[98, 81, 73, 95], Operations: []
Exploring Operation: 98+73=171, Resulting Numbers: [81, 95, 171]
Generated Node #2: [81, 95, 171] from Operation: 98+73=171
Current State: 45:[81, 95, 171], Operations: ['98+73=171']
Exploring Operation: 81*95=7695, Resulting Numbers: [171, 7695]
Generated Node #3: [171, 7695] from Operation: 81*95=7695
Current State: 45:[171, 7695], Operations: ['98+73=171', '81*95=7695']
Exploring Operation: 7695/171=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
Current State: 45:[98, 81, 73, 95], Operations: []
Exploring Operation: 98-73=25, Resulting Numbers: [81, 95, 25]
Generated Node #0,0: 45:[81, 95, 25] Operation: 98-73=25
Exploring Operation: 95-81=14, Resulting Numbers: [98, 73, 14]
Generated Node #0,1: 45:[98, 73, 14] Operation: 95-81=14
Exploring Operation: 98-95=3, Resulting Numbers: [81, 73, 3]
Generated Node #0,2: 45:[81, 73, 3] Operation: 98-95=3
Exploring Operation: 98-81=17, Resulting Numbers: [73, 95, 17]
Generated Node #0,3: 45:[73, 95, 17] Operation: 98-81=17
Exploring Operation: 95-73=22, Resulting Numbers: [98, 81, 22]
Generated Node #0,4: 45:[98, 81, 22] Operation: 95-73=22
Moving to Node #0,2
Current State: 45:[81, 73, 3], Operations: ['98-95=3']
Exploring Operation: 81+3=84, Resulting Numbers: [73, 84]
Generated Node #0,2,0: 45:[73, 84] Operation: 81+3=84
Exploring Operation: 81/3=27, Resulting Numbers: [73, 27]
Generated Node #0,2,1: 45:[73, 27] Operation: 81/3=27
Exploring Operation: 81-73=8, Resulting Numbers: [3, 8]
Generated Node #0,2,2: 45:[3, 8] Operation: 81-73=8
Exploring Operation: 73-3=70, Resulting Numbers: [81, 70]
Generated Node #0,2,3: 45:[81, 70] Operation: 73-3=70
Exploring Operation: 81-3=78, Resulting Numbers: [73, 78]
Generated Node #0,2,4: 45:[73, 78] Operation: 81-3=78
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 45:[3, 8], Operations: ['98-95=3', '81-73=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,45 unequal: No Solution
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,45 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 #0,2,1
Current State: 45:[73, 27], Operations: ['98-95=3', '81/3=27']
Exploring Operation: 73-27=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Exploring Operation: 73*27=1971, Resulting Numbers: [1971]
1971,45 unequal: No Solution
Exploring Operation: 73+27=100, Resulting Numbers: [100]
100,45 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 #0,2,3
Current State: 45:[81, 70], Operations: ['98-95=3', '73-3=70']
Exploring Operation: 81-70=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 81*70=5670, Resulting Numbers: [5670]
5670,45 unequal: No Solution
Exploring Operation: 81+70=151, Resulting Numbers: [151]
151,45 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 #0,2,4
Current State: 45:[73, 78], Operations: ['98-95=3', '81-3=78']
Exploring Operation: 73+78=151, Resulting Numbers: [151]
151,45 unequal: No Solution
Exploring Operation: 73*78=5694, Resulting Numbers: [5694]
5694,45 unequal: No Solution
Exploring Operation: 78-73=5, Resulting Numbers: [5]
5,45 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 #0,2,0
Current State: 45:[73, 84], Operations: ['98-95=3', '81+3=84']
Exploring Operation: 84-73=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 73*84=6132, Resulting Numbers: [6132]
6132,45 unequal: No Solution
Exploring Operation: 73+84=157, Resulting Numbers: [157]
157,45 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: 45:[73, 95, 17], Operations: ['98-81=17']
Exploring Operation: 95-73=22, Resulting Numbers: [17, 22]
Generated Node #0,3,0: 45:[17, 22] Operation: 95-73=22
Exploring Operation: 95-17=78, Resulting Numbers: [73, 78]
Generated Node #0,3,1: 45:[73, 78] Operation: 95-17=78
Exploring Operation: 95+17=112, Resulting Numbers: [73, 112]
Generated Node #0,3,2: 45:[73, 112] Operation: 95+17=112
Exploring Operation: 73-17=56, Resulting Numbers: [95, 56]
Generated Node #0,3,3: 45:[95, 56] Operation: 73-17=56
Exploring Operation: 73+17=90, Resulting Numbers: [95, 90]
Generated Node #0,3,4: 45:[95, 90] Operation: 73+17=90
Moving to Node #0,1
Current State: 45:[98, 73, 14], Operations: ['95-81=14']
Exploring Operation: 98+14=112, Resulting Numbers: [73, 112]
Generated Node #0,1,0: 45:[73, 112] Operation: 98+14=112
Exploring Operation: 98/14=7, Resulting Numbers: [73, 7]
Generated Node #0,1,1: 45:[73, 7] Operation: 98/14=7
Exploring Operation: 98-73=25, Resulting Numbers: [14, 25]
Generated Node #0,1,2: 45:[14, 25] Operation: 98-73=25
Exploring Operation: 98-14=84, Resulting Numbers: [73, 84]
Generated Node #0,1,3: 45:[73, 84] Operation: 98-14=84
Exploring Operation: 73-14=59, Resulting Numbers: [98, 59]
Generated Node #0,1,4: 45:[98, 59] Operation: 73-14=59
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 45:[14, 25], Operations: ['95-81=14', '98-73=25']
Exploring Operation: 25-14=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 14+25=39, Resulting Numbers: [39]
39,45 unequal: No Solution
Exploring Operation: 14*25=350, Resulting Numbers: [350]
350,45 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 #0,1,1
Current State: 45:[73, 7], Operations: ['95-81=14', '98/14=7']
Exploring Operation: 73-7=66, Resulting Numbers: [66]
66,45 unequal: No Solution
Exploring Operation: 73+7=80, Resulting Numbers: [80]
80,45 unequal: No Solution
Exploring Operation: 73*7=511, Resulting Numbers: [511]
511,45 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 #0,1,3
Current State: 45:[73, 84], Operations: ['95-81=14', '98-14=84']
Exploring Operation: 84-73=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 73*84=6132, Resulting Numbers: [6132]
6132,45 unequal: No Solution
Exploring Operation: 73+84=157, Resulting Numbers: [157]
157,45 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 #0,1,4
Current State: 45:[98, 59], Operations: ['95-81=14', '73-14=59']
Exploring Operation: 98*59=5782, Resulting Numbers: [5782]
5782,45 unequal: No Solution
Exploring Operation: 98-59=39, Resulting Numbers: [39]
39,45 unequal: No Solution
Exploring Operation: 98+59=157, Resulting Numbers: [157]
157,45 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 #0,1,0
Current State: 45:[73, 112], Operations: ['95-81=14', '98+14=112']
Exploring Operation: 112-73=39, Resulting Numbers: [39]
39,45 unequal: No Solution
Exploring Operation: 73*112=8176, Resulting Numbers: [8176]
8176,45 unequal: No Solution
Exploring Operation: 73+112=185, Resulting Numbers: [185]
185,45 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: 45:[81, 95, 25], Operations: ['98-73=25']
Exploring Operation: 95+25=120, Resulting Numbers: [81, 120]
Generated Node #0,0,0: 45:[81, 120] Operation: 95+25=120
Exploring Operation: 81+25=106, Resulting Numbers: [95, 106]
Generated Node #0,0,1: 45:[95, 106] Operation: 81+25=106
Exploring Operation: 95-25=70, Resulting Numbers: [81, 70]
Generated Node #0,0,2: 45:[81, 70] Operation: 95-25=70
Exploring Operation: 95-81=14, Resulting Numbers: [25, 14]
Generated Node #0,0,3: 45:[25, 14] Operation: 95-81=14
Exploring Operation: 81-25=56, Resulting Numbers: [95, 56]
Generated Node #0,0,4: 45:[95, 56] Operation: 81-25=56
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 45:[25, 14], Operations: ['98-73=25', '95-81=14']
Exploring Operation: 25-14=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 25*14=350, Resulting Numbers: [350]
350,45 unequal: No Solution
Exploring Operation: 25+14=39, Resulting Numbers: [39]
39,45 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 #0,0,2
Current State: 45:[81, 70], Operations: ['98-73=25', '95-25=70']
Exploring Operation: 81+70=151, Resulting Numbers: [151]
151,45 unequal: No Solution
Exploring Operation: 81-70=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 81*70=5670, Resulting Numbers: [5670]
5670,45 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 #0,0,4
Current State: 45:[95, 56], Operations: ['98-73=25', '81-25=56']
Exploring Operation: 95*56=5320, Resulting Numbers: [5320]
5320,45 unequal: No Solution
Exploring Operation: 95-56=39, Resulting Numbers: [39]
39,45 unequal: No Solution
Exploring Operation: 95+56=151, Resulting Numbers: [151]
151,45 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 #0,0,0
Current State: 45:[81, 120], Operations: ['98-73=25', '95+25=120']
Exploring Operation: 81+120=201, Resulting Numbers: [201]
201,45 unequal: No Solution
Exploring Operation: 81*120=9720, Resulting Numbers: [9720]
9720,45 unequal: No Solution
Exploring Operation: 120-81=39, Resulting Numbers: [39]
39,45 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 #0,0,1
Current State: 45:[95, 106], Operations: ['98-73=25', '81+25=106']
Exploring Operation: 106-95=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 95*106=10070, Resulting Numbers: [10070]
10070,45 unequal: No Solution
Exploring Operation: 95+106=201, Resulting Numbers: [201]
201,45 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: 45:[98, 81, 22], Operations: ['95-73=22']
Exploring Operation: 81-22=59, Resulting Numbers: [98, 59]
Generated Node #0,4,0: 45:[98, 59] Operation: 81-22=59
Exploring Operation: 98-81=17, Resulting Numbers: [22, 17]
Generated Node #0,4,1: 45:[22, 17] Operation: 98-81=17
Exploring Operation: 81+22=103, Resulting Numbers: [98, 103]
Generated Node #0,4,2: 45:[98, 103] Operation: 81+22=103
Exploring Operation: 98-22=76, Resulting Numbers: [81, 76]
Generated Node #0,4,3: 45:[81, 76] Operation: 98-22=76
Exploring Operation: 98+22=120, Resulting Numbers: [81, 120]
Generated Node #0,4,4: 45:[81, 120] Operation: 98+22=120
Moving to Node #0,3,0
Current State: 45:[17, 22], Operations: ['98-81=17', '95-73=22']
Exploring Operation: 22-17=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Exploring Operation: 17+22=39, Resulting Numbers: [39]
39,45 unequal: No Solution
Exploring Operation: 17*22=374, Resulting Numbers: [374]
374,45 unequal: No Solution
Moving to Node #0,4,1
Current State: 45:[22, 17], Operations: ['95-73=22', '98-81=17']
Exploring Operation: 22+17=39, Resulting Numbers: [39]
39,45 unequal: No Solution
Exploring Operation: 22-17=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Exploring Operation: 22*17=374, Resulting Numbers: [374]
374,45 unequal: No Solution
Moving to Node #0,3,3
Current State: 45:[95, 56], Operations: ['98-81=17', '73-17=56']
Exploring Operation: 95*56=5320, Resulting Numbers: [5320]
5320,45 unequal: No Solution
Exploring Operation: 95-56=39, Resulting Numbers: [39]
39,45 unequal: No Solution
Exploring Operation: 95+56=151, Resulting Numbers: [151]
151,45 unequal: No Solution
Moving to Node #0,3,1
Current State: 45:[73, 78], Operations: ['98-81=17', '95-17=78']
Exploring Operation: 73*78=5694, Resulting Numbers: [5694]
5694,45 unequal: No Solution
Exploring Operation: 78-73=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Exploring Operation: 73+78=151, Resulting Numbers: [151]
151,45 unequal: No Solution
Moving to Node #0,4,0
Current State: 45:[98, 59], Operations: ['95-73=22', '81-22=59']
Exploring Operation: 98-59=39, Resulting Numbers: [39]
39,45 unequal: No Solution
Exploring Operation: 98+59=157, Resulting Numbers: [157]
157,45 unequal: No Solution
Exploring Operation: 98*59=5782, Resulting Numbers: [5782]
5782,45 unequal: No Solution
Moving to Node #0,4,3
Current State: 45:[81, 76], Operations: ['95-73=22', '98-22=76']
Exploring Operation: 81+76=157, Resulting Numbers: [157]
157,45 unequal: No Solution
Exploring Operation: 81-76=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Exploring Operation: 81*76=6156, Resulting Numbers: [6156]
6156,45 unequal: No Solution
Moving to Node #0,3,4
Current State: 45:[95, 90], Operations: ['98-81=17', '73+17=90']
Exploring Operation: 95*90=8550, Resulting Numbers: [8550]
8550,45 unequal: No Solution
Exploring Operation: 95+90=185, Resulting Numbers: [185]
185,45 unequal: No Solution
Exploring Operation: 95-90=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Moving to Node #0,3,2
Current State: 45:[73, 112], Operations: ['98-81=17', '95+17=112']
Exploring Operation: 112-73=39, Resulting Numbers: [39]
39,45 unequal: No Solution
Exploring Operation: 73*112=8176, Resulting Numbers: [8176]
8176,45 unequal: No Solution
Exploring Operation: 73+112=185, Resulting Numbers: [185]
185,45 unequal: No Solution
Moving to Node #0,4,2
Current State: 45:[98, 103], Operations: ['95-73=22', '81+22=103']
Exploring Operation: 98*103=10094, Resulting Numbers: [10094]
10094,45 unequal: No Solution
Exploring Operation: 103-98=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Exploring Operation: 98+103=201, Resulting Numbers: [201]
201,45 unequal: No Solution
Moving to Node #0,4,4
Current State: 45:[81, 120], Operations: ['95-73=22', '98+22=120']
Exploring Operation: 120-81=39, Resulting Numbers: [39]
39,45 unequal: No Solution
Exploring Operation: 81+120=201, Resulting Numbers: [201]
201,45 unequal: No Solution
Exploring Operation: 81*120=9720, Resulting Numbers: [9720]
9720,45 unequal: No Solution
No solution found.
| 0 |
hs_5
|
sum_heuristic
|
[
89,
40,
56,
96
] | 32 |
[
"96-89=7",
"56/7=8",
"40-8=32"
] |
Current State: 32:[89, 40, 56, 96], Operations: []
Exploring Operation: 96-89=7, Resulting Numbers: [40, 56, 7]
Generated Node #2: [40, 56, 7] from Operation: 96-89=7
Current State: 32:[40, 56, 7], Operations: ['96-89=7']
Exploring Operation: 56/7=8, Resulting Numbers: [40, 8]
Generated Node #3: [40, 8] from Operation: 56/7=8
Current State: 32:[40, 8], Operations: ['96-89=7', '56/7=8']
Exploring Operation: 40-8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
Current State: 32:[89, 40, 56, 96], Operations: []
Exploring Operation: 96-89=7, Resulting Numbers: [40, 56, 7]
Generated Node #0,0: 32:[40, 56, 7] Operation: 96-89=7
Exploring Operation: 89-40=49, Resulting Numbers: [56, 96, 49]
Generated Node #0,1: 32:[56, 96, 49] Operation: 89-40=49
Exploring Operation: 96-56=40, Resulting Numbers: [89, 40, 40]
Generated Node #0,2: 32:[89, 40, 40] Operation: 96-56=40
Exploring Operation: 89-56=33, Resulting Numbers: [40, 96, 33]
Generated Node #0,3: 32:[40, 96, 33] Operation: 89-56=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[40, 56, 7], Operations: ['96-89=7']
Exploring Operation: 56-40=16, Resulting Numbers: [7, 16]
Generated Node #0,0,0: 32:[7, 16] Operation: 56-40=16
Exploring Operation: 56-7=49, Resulting Numbers: [40, 49]
Generated Node #0,0,1: 32:[40, 49] Operation: 56-7=49
Exploring Operation: 56/7=8, Resulting Numbers: [40, 8]
Generated Node #0,0,2: 32:[40, 8] Operation: 56/7=8
Exploring Operation: 40-7=33, Resulting Numbers: [56, 33]
Generated Node #0,0,3: 32:[56, 33] Operation: 40-7=33
Moving to Node #0,0,0
Current State: 32:[7, 16], Operations: ['96-89=7', '56-40=16']
Exploring Operation: 7*16=112, Resulting Numbers: [112]
112,32 unequal: No Solution
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,32 unequal: No Solution
Exploring Operation: 7+16=23, Resulting Numbers: [23]
23,32 unequal: No Solution
Moving to Node #0,0,2
Current State: 32:[40, 8], Operations: ['96-89=7', '56/7=8']
Exploring Operation: 40-8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[89, 40, 56, 96], Operations: []
Exploring Operation: 96-89=7, Resulting Numbers: [40, 56, 7]
Generated Node #0,0: 32:[40, 56, 7] Operation: 96-89=7
Moving to Node #0,0
Current State: 32:[40, 56, 7], Operations: ['96-89=7']
Exploring Operation: 56/7=8, Resulting Numbers: [40, 8]
Generated Node #0,0,2: 32:[40, 8] Operation: 56/7=8
Moving to Node #0,0,2
Current State: 32:[40, 8], Operations: ['96-89=7', '56/7=8']
Exploring Operation: 40-8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 |
hs_4
|
mult_heuristic
|
[
42,
12,
10,
51
] | 46 |
[
"10*51=510",
"42+510=552",
"552/12=46"
] |
Current State: 46:[42, 12, 10, 51], Operations: []
Exploring Operation: 10*51=510, Resulting Numbers: [42, 12, 510]
Generated Node #2: [42, 12, 510] from Operation: 10*51=510
Current State: 46:[42, 12, 510], Operations: ['10*51=510']
Exploring Operation: 42+510=552, Resulting Numbers: [12, 552]
Generated Node #3: [12, 552] from Operation: 42+510=552
Current State: 46:[12, 552], Operations: ['10*51=510', '42+510=552']
Exploring Operation: 552/12=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
Current State: 46:[42, 12, 10, 51], Operations: []
Exploring Operation: 12+10=22, Resulting Numbers: [42, 51, 22]
Generated Node #0,0: 46:[42, 51, 22] Operation: 12+10=22
Exploring Operation: 51-12=39, Resulting Numbers: [42, 10, 39]
Generated Node #0,1: 46:[42, 10, 39] Operation: 51-12=39
Exploring Operation: 12-10=2, Resulting Numbers: [42, 51, 2]
Generated Node #0,2: 46:[42, 51, 2] Operation: 12-10=2
Start Sub Search at level 1: Moving to Node #0,2
Current State: 46:[42, 51, 2], Operations: ['12-10=2']
Exploring Operation: 51-42=9, Resulting Numbers: [2, 9]
Generated Node #0,2,0: 46:[2, 9] Operation: 51-42=9
Exploring Operation: 42+2=44, Resulting Numbers: [51, 44]
Generated Node #0,2,1: 46:[51, 44] Operation: 42+2=44
Exploring Operation: 42/2=21, Resulting Numbers: [51, 21]
Generated Node #0,2,2: 46:[51, 21] Operation: 42/2=21
Moving to Node #0,2,0
Current State: 46:[2, 9], Operations: ['12-10=2', '51-42=9']
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,46 unequal: No Solution
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,46 unequal: No Solution
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,46 unequal: No Solution
Moving to Node #0,2,1
Current State: 46:[51, 44], Operations: ['12-10=2', '42+2=44']
Exploring Operation: 51-44=7, Resulting Numbers: [7]
7,46 unequal: No Solution
Exploring Operation: 51+44=95, Resulting Numbers: [95]
95,46 unequal: No Solution
Exploring Operation: 51*44=2244, Resulting Numbers: [2244]
2244,46 unequal: No Solution
Moving to Node #0,2,2
Current State: 46:[51, 21], Operations: ['12-10=2', '42/2=21']
Exploring Operation: 51-21=30, Resulting Numbers: [30]
30,46 unequal: No Solution
Exploring Operation: 51+21=72, Resulting Numbers: [72]
72,46 unequal: No Solution
Exploring Operation: 51*21=1071, Resulting Numbers: [1071]
1071,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[42, 51, 22], Operations: ['12+10=22']
Exploring Operation: 51-22=29, Resulting Numbers: [42, 29]
Generated Node #0,0,0: 46:[42, 29] Operation: 51-22=29
Exploring Operation: 42-22=20, Resulting Numbers: [51, 20]
Generated Node #0,0,1: 46:[51, 20] Operation: 42-22=20
Exploring Operation: 51-42=9, Resulting Numbers: [22, 9]
Generated Node #0,0,2: 46:[22, 9] Operation: 51-42=9
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 46:[51, 20], Operations: ['12+10=22', '42-22=20']
Exploring Operation: 51*20=1020, Resulting Numbers: [1020]
1020,46 unequal: No Solution
Exploring Operation: 51-20=31, Resulting Numbers: [31]
31,46 unequal: No Solution
Exploring Operation: 51+20=71, Resulting Numbers: [71]
71,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 46:[22, 9], Operations: ['12+10=22', '51-42=9']
Exploring Operation: 22+9=31, Resulting Numbers: [31]
31,46 unequal: No Solution
Exploring Operation: 22*9=198, Resulting Numbers: [198]
198,46 unequal: No Solution
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 46:[42, 29], Operations: ['12+10=22', '51-22=29']
Exploring Operation: 42+29=71, Resulting Numbers: [71]
71,46 unequal: No Solution
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,46 unequal: No Solution
Exploring Operation: 42*29=1218, Resulting Numbers: [1218]
1218,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 46:[42, 10, 39], Operations: ['51-12=39']
Exploring Operation: 39-10=29, Resulting Numbers: [42, 29]
Generated Node #0,1,0: 46:[42, 29] Operation: 39-10=29
Exploring Operation: 42-39=3, Resulting Numbers: [10, 3]
Generated Node #0,1,1: 46:[10, 3] Operation: 42-39=3
Exploring Operation: 10+39=49, Resulting Numbers: [42, 49]
Generated Node #0,1,2: 46:[42, 49] Operation: 10+39=49
Moving to Node #0,1,2
Current State: 46:[42, 49], Operations: ['51-12=39', '10+39=49']
Exploring Operation: 42+49=91, Resulting Numbers: [91]
91,46 unequal: No Solution
Exploring Operation: 49-42=7, Resulting Numbers: [7]
7,46 unequal: No Solution
Exploring Operation: 42*49=2058, Resulting Numbers: [2058]
2058,46 unequal: No Solution
Moving to Node #0,1,1
Current State: 46:[10, 3], Operations: ['51-12=39', '42-39=3']
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,46 unequal: No Solution
Exploring Operation: 10*3=30, Resulting Numbers: [30]
30,46 unequal: No Solution
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,46 unequal: No Solution
Moving to Node #0,1,0
Current State: 46:[42, 29], Operations: ['51-12=39', '39-10=29']
Exploring Operation: 42+29=71, Resulting Numbers: [71]
71,46 unequal: No Solution
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,46 unequal: No Solution
Exploring Operation: 42*29=1218, Resulting Numbers: [1218]
1218,46 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
|
[
6,
23,
20,
24
] | 68 |
[
"23-6=17",
"24-20=4",
"17*4=68"
] |
Current State: 68:[6, 23, 20, 24], Operations: []
Exploring Operation: 23-6=17, Resulting Numbers: [20, 24, 17]
Generated Node #2: [20, 24, 17] from Operation: 23-6=17
Current State: 68:[20, 24, 17], Operations: ['23-6=17']
Exploring Operation: 24-20=4, Resulting Numbers: [17, 4]
Generated Node #3: [17, 4] from Operation: 24-20=4
Current State: 68:[17, 4], Operations: ['23-6=17', '24-20=4']
Exploring Operation: 17*4=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
Current State: 68:[6, 23, 20, 24], Operations: []
Exploring Operation: 24-23=1, Resulting Numbers: [6, 20, 1]
Generated Node #0,0: 68:[6, 20, 1] Operation: 24-23=1
Moving to Node #0,0
Current State: 68:[6, 20, 1], Operations: ['24-23=1']
Exploring Operation: 20-6=14, Resulting Numbers: [1, 14]
Generated Node #0,0,0: 68:[1, 14] Operation: 20-6=14
Moving to Node #0,0,0
Current State: 68:[1, 14], Operations: ['24-23=1', '20-6=14']
Exploring Operation: 1+14=15, Resulting Numbers: [15]
15,68 unequal: No Solution
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
25,
89,
95,
15
] | 97 |
[
"25+95=120",
"120/15=8",
"89+8=97"
] |
Current State: 97:[25, 89, 95, 15], Operations: []
Exploring Operation: 25+95=120, Resulting Numbers: [89, 15, 120]
Generated Node #2: [89, 15, 120] from Operation: 25+95=120
Current State: 97:[89, 15, 120], Operations: ['25+95=120']
Exploring Operation: 120/15=8, Resulting Numbers: [89, 8]
Generated Node #3: [89, 8] from Operation: 120/15=8
Current State: 97:[89, 8], Operations: ['25+95=120', '120/15=8']
Exploring Operation: 89+8=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
Current State: 97:[25, 89, 95, 15], Operations: []
Exploring Operation: 25-15=10, Resulting Numbers: [89, 95, 10]
Generated Node #0,0: 97:[89, 95, 10] Operation: 25-15=10
Exploring Operation: 89+15=104, Resulting Numbers: [25, 95, 104]
Generated Node #0,1: 97:[25, 95, 104] Operation: 89+15=104
Exploring Operation: 95+15=110, Resulting Numbers: [25, 89, 110]
Generated Node #0,2: 97:[25, 89, 110] Operation: 95+15=110
Exploring Operation: 25+15=40, Resulting Numbers: [89, 95, 40]
Generated Node #0,3: 97:[89, 95, 40] Operation: 25+15=40
Start Sub Search at level 1: Moving to Node #0,3
Current State: 97:[89, 95, 40], Operations: ['25+15=40']
Exploring Operation: 89-40=49, Resulting Numbers: [95, 49]
Generated Node #0,3,0: 97:[95, 49] Operation: 89-40=49
Exploring Operation: 95-40=55, Resulting Numbers: [89, 55]
Generated Node #0,3,1: 97:[89, 55] Operation: 95-40=55
Exploring Operation: 89+40=129, Resulting Numbers: [95, 129]
Generated Node #0,3,2: 97:[95, 129] Operation: 89+40=129
Exploring Operation: 95+40=135, Resulting Numbers: [89, 135]
Generated Node #0,3,3: 97:[89, 135] Operation: 95+40=135
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 97:[95, 129], Operations: ['25+15=40', '89+40=129']
Exploring Operation: 95+129=224, Resulting Numbers: [224]
224,97 unequal: No Solution
Exploring Operation: 129-95=34, Resulting Numbers: [34]
34,97 unequal: No Solution
Exploring Operation: 95*129=12255, Resulting Numbers: [12255]
12255,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 97:[89, 135], Operations: ['25+15=40', '95+40=135']
Exploring Operation: 89*135=12015, Resulting Numbers: [12015]
12015,97 unequal: No Solution
Exploring Operation: 135-89=46, Resulting Numbers: [46]
46,97 unequal: No Solution
Exploring Operation: 89+135=224, Resulting Numbers: [224]
224,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 97:[95, 49], Operations: ['25+15=40', '89-40=49']
Exploring Operation: 95*49=4655, Resulting Numbers: [4655]
4655,97 unequal: No Solution
Exploring Operation: 95-49=46, Resulting Numbers: [46]
46,97 unequal: No Solution
Exploring Operation: 95+49=144, Resulting Numbers: [144]
144,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 97:[89, 55], Operations: ['25+15=40', '95-40=55']
Exploring Operation: 89-55=34, Resulting Numbers: [34]
34,97 unequal: No Solution
Exploring Operation: 89*55=4895, Resulting Numbers: [4895]
4895,97 unequal: No Solution
Exploring Operation: 89+55=144, Resulting Numbers: [144]
144,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[25, 95, 104], Operations: ['89+15=104']
Exploring Operation: 25+104=129, Resulting Numbers: [95, 129]
Generated Node #0,1,0: 97:[95, 129] Operation: 25+104=129
Exploring Operation: 104-25=79, Resulting Numbers: [95, 79]
Generated Node #0,1,1: 97:[95, 79] Operation: 104-25=79
Exploring Operation: 25+95=120, Resulting Numbers: [104, 120]
Generated Node #0,1,2: 97:[104, 120] Operation: 25+95=120
Exploring Operation: 95-25=70, Resulting Numbers: [104, 70]
Generated Node #0,1,3: 97:[104, 70] Operation: 95-25=70
Moving to Node #0,1,1
Current State: 97:[95, 79], Operations: ['89+15=104', '104-25=79']
Exploring Operation: 95+79=174, Resulting Numbers: [174]
174,97 unequal: No Solution
Exploring Operation: 95*79=7505, Resulting Numbers: [7505]
7505,97 unequal: No Solution
Exploring Operation: 95-79=16, Resulting Numbers: [16]
16,97 unequal: No Solution
Moving to Node #0,1,2
Current State: 97:[104, 120], Operations: ['89+15=104', '25+95=120']
Exploring Operation: 104+120=224, Resulting Numbers: [224]
224,97 unequal: No Solution
Exploring Operation: 104*120=12480, Resulting Numbers: [12480]
12480,97 unequal: No Solution
Exploring Operation: 120-104=16, Resulting Numbers: [16]
16,97 unequal: No Solution
Moving to Node #0,1,3
Current State: 97:[104, 70], Operations: ['89+15=104', '95-25=70']
Exploring Operation: 104*70=7280, Resulting Numbers: [7280]
7280,97 unequal: No Solution
Exploring Operation: 104+70=174, Resulting Numbers: [174]
174,97 unequal: No Solution
Exploring Operation: 104-70=34, Resulting Numbers: [34]
34,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[95, 129], Operations: ['89+15=104', '25+104=129']
Exploring Operation: 95+129=224, Resulting Numbers: [224]
224,97 unequal: No Solution
Exploring Operation: 129-95=34, Resulting Numbers: [34]
34,97 unequal: No Solution
Exploring Operation: 95*129=12255, Resulting Numbers: [12255]
12255,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 97:[25, 89, 110], Operations: ['95+15=110']
Exploring Operation: 110-25=85, Resulting Numbers: [89, 85]
Generated Node #0,2,0: 97:[89, 85] Operation: 110-25=85
Exploring Operation: 89-25=64, Resulting Numbers: [110, 64]
Generated Node #0,2,1: 97:[110, 64] Operation: 89-25=64
Exploring Operation: 25+110=135, Resulting Numbers: [89, 135]
Generated Node #0,2,2: 97:[89, 135] Operation: 25+110=135
Exploring Operation: 25+89=114, Resulting Numbers: [110, 114]
Generated Node #0,2,3: 97:[110, 114] Operation: 25+89=114
Moving to Node #0,2,0
Current State: 97:[89, 85], Operations: ['95+15=110', '110-25=85']
Exploring Operation: 89*85=7565, Resulting Numbers: [7565]
7565,97 unequal: No Solution
Exploring Operation: 89-85=4, Resulting Numbers: [4]
4,97 unequal: No Solution
Exploring Operation: 89+85=174, Resulting Numbers: [174]
174,97 unequal: No Solution
Moving to Node #0,2,3
Current State: 97:[110, 114], Operations: ['95+15=110', '25+89=114']
Exploring Operation: 114-110=4, Resulting Numbers: [4]
4,97 unequal: No Solution
Exploring Operation: 110+114=224, Resulting Numbers: [224]
224,97 unequal: No Solution
Exploring Operation: 110*114=12540, Resulting Numbers: [12540]
12540,97 unequal: No Solution
Moving to Node #0,2,2
Current State: 97:[89, 135], Operations: ['95+15=110', '25+110=135']
Exploring Operation: 89+135=224, Resulting Numbers: [224]
224,97 unequal: No Solution
Exploring Operation: 135-89=46, Resulting Numbers: [46]
46,97 unequal: No Solution
Exploring Operation: 89*135=12015, Resulting Numbers: [12015]
12015,97 unequal: No Solution
Moving to Node #0,2,1
Current State: 97:[110, 64], Operations: ['95+15=110', '89-25=64']
Exploring Operation: 110+64=174, Resulting Numbers: [174]
174,97 unequal: No Solution
Exploring Operation: 110*64=7040, Resulting Numbers: [7040]
7040,97 unequal: No Solution
Exploring Operation: 110-64=46, Resulting Numbers: [46]
46,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[89, 95, 10], Operations: ['25-15=10']
Exploring Operation: 95-10=85, Resulting Numbers: [89, 85]
Generated Node #0,0,0: 97:[89, 85] Operation: 95-10=85
Exploring Operation: 89+10=99, Resulting Numbers: [95, 99]
Generated Node #0,0,1: 97:[95, 99] Operation: 89+10=99
Exploring Operation: 95+10=105, Resulting Numbers: [89, 105]
Generated Node #0,0,2: 97:[89, 105] Operation: 95+10=105
Exploring Operation: 89-10=79, Resulting Numbers: [95, 79]
Generated Node #0,0,3: 97:[95, 79] Operation: 89-10=79
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 97:[95, 99], Operations: ['25-15=10', '89+10=99']
Exploring Operation: 95*99=9405, Resulting Numbers: [9405]
9405,97 unequal: No Solution
Exploring Operation: 99-95=4, Resulting Numbers: [4]
4,97 unequal: No Solution
Exploring Operation: 95+99=194, Resulting Numbers: [194]
194,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 97:[89, 105], Operations: ['25-15=10', '95+10=105']
Exploring Operation: 89*105=9345, Resulting Numbers: [9345]
9345,97 unequal: No Solution
Exploring Operation: 105-89=16, Resulting Numbers: [16]
16,97 unequal: No Solution
Exploring Operation: 89+105=194, Resulting Numbers: [194]
194,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[89, 85], Operations: ['25-15=10', '95-10=85']
Exploring Operation: 89-85=4, Resulting Numbers: [4]
4,97 unequal: No Solution
Exploring Operation: 89+85=174, Resulting Numbers: [174]
174,97 unequal: No Solution
Exploring Operation: 89*85=7565, Resulting Numbers: [7565]
7565,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 97:[95, 79], Operations: ['25-15=10', '89-10=79']
Exploring Operation: 95-79=16, Resulting Numbers: [16]
16,97 unequal: No Solution
Exploring Operation: 95+79=174, Resulting Numbers: [174]
174,97 unequal: No Solution
Exploring Operation: 95*79=7505, Resulting Numbers: [7505]
7505,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
[
42,
68,
2,
16
] | 16 |
[
"42-16=26",
"2*26=52",
"68-52=16"
] |
Current State: 16:[42, 68, 2, 16], Operations: []
Exploring Operation: 42-16=26, Resulting Numbers: [68, 2, 26]
Generated Node #2: [68, 2, 26] from Operation: 42-16=26
Current State: 16:[68, 2, 26], Operations: ['42-16=26']
Exploring Operation: 2*26=52, Resulting Numbers: [68, 52]
Generated Node #3: [68, 52] from Operation: 2*26=52
Current State: 16:[68, 52], Operations: ['42-16=26', '2*26=52']
Exploring Operation: 68-52=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
Current State: 16:[42, 68, 2, 16], Operations: []
Exploring Operation: 68-42=26, Resulting Numbers: [2, 16, 26]
Generated Node #0,0: 16:[2, 16, 26] Operation: 68-42=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[2, 16, 26], Operations: ['68-42=26']
Exploring Operation: 26-16=10, Resulting Numbers: [2, 10]
Generated Node #0,0,0: 16:[2, 10] Operation: 26-16=10
Moving to Node #0,0,0
Current State: 16:[2, 10], Operations: ['68-42=26', '26-16=10']
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,16 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
|
[
42,
21,
80,
61
] | 82 |
[
"42+21=63",
"80-61=19",
"63+19=82"
] |
Current State: 82:[42, 21, 80, 61], Operations: []
Exploring Operation: 42+21=63, Resulting Numbers: [80, 61, 63]
Generated Node #2: [80, 61, 63] from Operation: 42+21=63
Current State: 82:[80, 61, 63], Operations: ['42+21=63']
Exploring Operation: 80-61=19, Resulting Numbers: [63, 19]
Generated Node #3: [63, 19] from Operation: 80-61=19
Current State: 82:[63, 19], Operations: ['42+21=63', '80-61=19']
Exploring Operation: 63+19=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
Current State: 82:[42, 21, 80, 61], Operations: []
Exploring Operation: 21+61=82, Resulting Numbers: [42, 80, 82]
Generated Node #0,0: 82:[42, 80, 82] Operation: 21+61=82
Moving to Node #0,0
Current State: 82:[42, 80, 82], Operations: ['21+61=82']
Exploring Operation: 82-80=2, Resulting Numbers: [42, 2]
Generated Node #0,0,0: 82:[42, 2] Operation: 82-80=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 82:[42, 2], Operations: ['21+61=82', '82-80=2']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
89,
62,
85,
7
] | 72 |
[
"85-62=23",
"7*23=161",
"161-89=72"
] |
Current State: 72:[89, 62, 85, 7], Operations: []
Exploring Operation: 85-62=23, Resulting Numbers: [89, 7, 23]
Generated Node #2: [89, 7, 23] from Operation: 85-62=23
Current State: 72:[89, 7, 23], Operations: ['85-62=23']
Exploring Operation: 7*23=161, Resulting Numbers: [89, 161]
Generated Node #3: [89, 161] from Operation: 7*23=161
Current State: 72:[89, 161], Operations: ['85-62=23', '7*23=161']
Exploring Operation: 161-89=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
Current State: 72:[89, 62, 85, 7], Operations: []
Exploring Operation: 89-85=4, Resulting Numbers: [62, 7, 4]
Generated Node #0,0: 72:[62, 7, 4] Operation: 89-85=4
Exploring Operation: 89-62=27, Resulting Numbers: [85, 7, 27]
Generated Node #0,1: 72:[85, 7, 27] Operation: 89-62=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[62, 7, 4], Operations: ['89-85=4']
Exploring Operation: 62+7=69, Resulting Numbers: [4, 69]
Generated Node #0,0,0: 72:[4, 69] Operation: 62+7=69
Exploring Operation: 62+4=66, Resulting Numbers: [7, 66]
Generated Node #0,0,1: 72:[7, 66] Operation: 62+4=66
Moving to Node #0,0,0
Current State: 72:[4, 69], Operations: ['89-85=4', '62+7=69']
Exploring Operation: 4+69=73, Resulting Numbers: [73]
73,72 unequal: No Solution
Exploring Operation: 69-4=65, Resulting Numbers: [65]
65,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[7, 66], Operations: ['89-85=4', '62+4=66']
Exploring Operation: 66-7=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Exploring Operation: 7+66=73, Resulting Numbers: [73]
73,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[85, 7, 27], Operations: ['89-62=27']
Exploring Operation: 85-27=58, Resulting Numbers: [7, 58]
Generated Node #0,1,0: 72:[7, 58] Operation: 85-27=58
Exploring Operation: 85-7=78, Resulting Numbers: [27, 78]
Generated Node #0,1,1: 72:[27, 78] Operation: 85-7=78
Moving to Node #0,1,1
Current State: 72:[27, 78], Operations: ['89-62=27', '85-7=78']
Exploring Operation: 78-27=51, Resulting Numbers: [51]
51,72 unequal: No Solution
Exploring Operation: 27+78=105, Resulting Numbers: [105]
105,72 unequal: No Solution
Moving to Node #0,1,0
Current State: 72:[7, 58], Operations: ['89-62=27', '85-27=58']
Exploring Operation: 7+58=65, Resulting Numbers: [65]
65,72 unequal: No Solution
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
44,
27,
31,
71
] | 32 |
[
"44+27=71",
"71/71=1",
"31+1=32"
] |
Current State: 32:[44, 27, 31, 71], Operations: []
Exploring Operation: 44+27=71, Resulting Numbers: [31, 71, 71]
Generated Node #2: [31, 71, 71] from Operation: 44+27=71
Current State: 32:[31, 71, 71], Operations: ['44+27=71']
Exploring Operation: 71/71=1, Resulting Numbers: [31, 1]
Generated Node #3: [31, 1] from Operation: 71/71=1
Current State: 32:[31, 1], Operations: ['44+27=71', '71/71=1']
Exploring Operation: 31+1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
Current State: 32:[44, 27, 31, 71], Operations: []
Exploring Operation: 71-31=40, Resulting Numbers: [44, 27, 40]
Generated Node #0,0: 32:[44, 27, 40] Operation: 71-31=40
Exploring Operation: 71-27=44, Resulting Numbers: [44, 31, 44]
Generated Node #0,1: 32:[44, 31, 44] Operation: 71-27=44
Exploring Operation: 71-44=27, Resulting Numbers: [27, 31, 27]
Generated Node #0,2: 32:[27, 31, 27] Operation: 71-44=27
Start Sub Search at level 1: Moving to Node #0,2
Current State: 32:[27, 31, 27], Operations: ['71-44=27']
Exploring Operation: 27/27=1, Resulting Numbers: [31, 1]
Generated Node #0,2,0: 32:[31, 1] Operation: 27/27=1
Exploring Operation: 31-27=4, Resulting Numbers: [27, 4]
Generated Node #0,2,1: 32:[27, 4] Operation: 31-27=4
Exploring Operation: 27-27=0, Resulting Numbers: [31, 0]
Generated Node #0,2,2: 32:[31, 0] Operation: 27-27=0
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 32:[31, 1], Operations: ['71-44=27', '27/27=1']
Exploring Operation: 31+1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[44, 27, 31, 71], Operations: []
Exploring Operation: 71-44=27, Resulting Numbers: [27, 31, 27]
Generated Node #0,2: 32:[27, 31, 27] Operation: 71-44=27
Moving to Node #0,2
Current State: 32:[27, 31, 27], Operations: ['71-44=27']
Exploring Operation: 27/27=1, Resulting Numbers: [31, 1]
Generated Node #0,2,0: 32:[31, 1] Operation: 27/27=1
Moving to Node #0,2,0
Current State: 32:[31, 1], Operations: ['71-44=27', '27/27=1']
Exploring Operation: 31+1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 |
hs_3
|
sum_heuristic
|
[
84,
33,
31,
58
] | 52 |
[
"84-58=26",
"33-31=2",
"26*2=52"
] |
Current State: 52:[84, 33, 31, 58], Operations: []
Exploring Operation: 84-58=26, Resulting Numbers: [33, 31, 26]
Generated Node #2: [33, 31, 26] from Operation: 84-58=26
Current State: 52:[33, 31, 26], Operations: ['84-58=26']
Exploring Operation: 33-31=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 33-31=2
Current State: 52:[26, 2], Operations: ['84-58=26', '33-31=2']
Exploring Operation: 26*2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
Current State: 52:[84, 33, 31, 58], Operations: []
Exploring Operation: 58-33=25, Resulting Numbers: [84, 31, 25]
Generated Node #0,0: 52:[84, 31, 25] Operation: 58-33=25
Exploring Operation: 84-58=26, Resulting Numbers: [33, 31, 26]
Generated Node #0,1: 52:[33, 31, 26] Operation: 84-58=26
Exploring Operation: 33-31=2, Resulting Numbers: [84, 58, 2]
Generated Node #0,2: 52:[84, 58, 2] Operation: 33-31=2
Exploring Operation: 84-33=51, Resulting Numbers: [31, 58, 51]
Generated Node #0,3: 52:[31, 58, 51] Operation: 84-33=51
Exploring Operation: 84-31=53, Resulting Numbers: [33, 58, 53]
Generated Node #0,4: 52:[33, 58, 53] Operation: 84-31=53
Moving to Node #0,1
Current State: 52:[33, 31, 26], Operations: ['84-58=26']
Exploring Operation: 33-31=2, Resulting Numbers: [26, 2]
Generated Node #0,1,0: 52:[26, 2] Operation: 33-31=2
Exploring Operation: 33+31=64, Resulting Numbers: [26, 64]
Generated Node #0,1,1: 52:[26, 64] Operation: 33+31=64
Exploring Operation: 31-26=5, Resulting Numbers: [33, 5]
Generated Node #0,1,2: 52:[33, 5] Operation: 31-26=5
Exploring Operation: 33-26=7, Resulting Numbers: [31, 7]
Generated Node #0,1,3: 52:[31, 7] Operation: 33-26=7
Exploring Operation: 33+26=59, Resulting Numbers: [31, 59]
Generated Node #0,1,4: 52:[31, 59] Operation: 33+26=59
Moving to Node #0,3
Current State: 52:[31, 58, 51], Operations: ['84-33=51']
Exploring Operation: 51-31=20, Resulting Numbers: [58, 20]
Generated Node #0,3,0: 52:[58, 20] Operation: 51-31=20
Exploring Operation: 58-51=7, Resulting Numbers: [31, 7]
Generated Node #0,3,1: 52:[31, 7] Operation: 58-51=7
Exploring Operation: 58-31=27, Resulting Numbers: [51, 27]
Generated Node #0,3,2: 52:[51, 27] Operation: 58-31=27
Exploring Operation: 31+51=82, Resulting Numbers: [58, 82]
Generated Node #0,3,3: 52:[58, 82] Operation: 31+51=82
Exploring Operation: 31+58=89, Resulting Numbers: [51, 89]
Generated Node #0,3,4: 52:[51, 89] Operation: 31+58=89
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 52:[51, 27], Operations: ['84-33=51', '58-31=27']
Exploring Operation: 51+27=78, Resulting Numbers: [78]
78,52 unequal: No Solution
Exploring Operation: 51*27=1377, Resulting Numbers: [1377]
1377,52 unequal: No Solution
Exploring Operation: 51-27=24, Resulting Numbers: [24]
24,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 52:[31, 7], Operations: ['84-33=51', '58-51=7']
Exploring Operation: 31+7=38, Resulting Numbers: [38]
38,52 unequal: No Solution
Exploring Operation: 31*7=217, Resulting Numbers: [217]
217,52 unequal: No Solution
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 52:[58, 20], Operations: ['84-33=51', '51-31=20']
Exploring Operation: 58*20=1160, Resulting Numbers: [1160]
1160,52 unequal: No Solution
Exploring Operation: 58+20=78, Resulting Numbers: [78]
78,52 unequal: No Solution
Exploring Operation: 58-20=38, Resulting Numbers: [38]
38,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 52:[58, 82], Operations: ['84-33=51', '31+51=82']
Exploring Operation: 82-58=24, Resulting Numbers: [24]
24,52 unequal: No Solution
Exploring Operation: 58+82=140, Resulting Numbers: [140]
140,52 unequal: No Solution
Exploring Operation: 58*82=4756, Resulting Numbers: [4756]
4756,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 52:[51, 89], Operations: ['84-33=51', '31+58=89']
Exploring Operation: 51*89=4539, Resulting Numbers: [4539]
4539,52 unequal: No Solution
Exploring Operation: 51+89=140, Resulting Numbers: [140]
140,52 unequal: No Solution
Exploring Operation: 89-51=38, Resulting Numbers: [38]
38,52 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: 52:[33, 58, 53], Operations: ['84-31=53']
Exploring Operation: 58-53=5, Resulting Numbers: [33, 5]
Generated Node #0,4,0: 52:[33, 5] Operation: 58-53=5
Exploring Operation: 58-33=25, Resulting Numbers: [53, 25]
Generated Node #0,4,1: 52:[53, 25] Operation: 58-33=25
Exploring Operation: 53-33=20, Resulting Numbers: [58, 20]
Generated Node #0,4,2: 52:[58, 20] Operation: 53-33=20
Exploring Operation: 33+53=86, Resulting Numbers: [58, 86]
Generated Node #0,4,3: 52:[58, 86] Operation: 33+53=86
Exploring Operation: 33+58=91, Resulting Numbers: [53, 91]
Generated Node #0,4,4: 52:[53, 91] Operation: 33+58=91
Moving to Node #0,0
Current State: 52:[84, 31, 25], Operations: ['58-33=25']
Exploring Operation: 31-25=6, Resulting Numbers: [84, 6]
Generated Node #0,0,0: 52:[84, 6] Operation: 31-25=6
Exploring Operation: 84+25=109, Resulting Numbers: [31, 109]
Generated Node #0,0,1: 52:[31, 109] Operation: 84+25=109
Exploring Operation: 31+25=56, Resulting Numbers: [84, 56]
Generated Node #0,0,2: 52:[84, 56] Operation: 31+25=56
Exploring Operation: 84-25=59, Resulting Numbers: [31, 59]
Generated Node #0,0,3: 52:[31, 59] Operation: 84-25=59
Exploring Operation: 84-31=53, Resulting Numbers: [25, 53]
Generated Node #0,0,4: 52:[25, 53] Operation: 84-31=53
Moving to Node #0,2
Current State: 52:[84, 58, 2], Operations: ['33-31=2']
Exploring Operation: 58-2=56, Resulting Numbers: [84, 56]
Generated Node #0,2,0: 52:[84, 56] Operation: 58-2=56
Exploring Operation: 84/2=42, Resulting Numbers: [58, 42]
Generated Node #0,2,1: 52:[58, 42] Operation: 84/2=42
Exploring Operation: 84-2=82, Resulting Numbers: [58, 82]
Generated Node #0,2,2: 52:[58, 82] Operation: 84-2=82
Exploring Operation: 84-58=26, Resulting Numbers: [2, 26]
Generated Node #0,2,3: 52:[2, 26] Operation: 84-58=26
Exploring Operation: 58/2=29, Resulting Numbers: [84, 29]
Generated Node #0,2,4: 52:[84, 29] Operation: 58/2=29
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 52:[2, 26], Operations: ['33-31=2', '84-58=26']
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,52 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,52 unequal: No Solution
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[84, 33, 31, 58], Operations: []
Exploring Operation: 33-31=2, Resulting Numbers: [84, 58, 2]
Generated Node #0,2: 52:[84, 58, 2] Operation: 33-31=2
Moving to Node #0,2
Current State: 52:[84, 58, 2], Operations: ['33-31=2']
Exploring Operation: 84-58=26, Resulting Numbers: [2, 26]
Generated Node #0,2,3: 52:[2, 26] Operation: 84-58=26
Moving to Node #0,2,3
Current State: 52:[2, 26], Operations: ['33-31=2', '84-58=26']
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.954861 |
hs_5
|
mult_heuristic
|
[
28,
5,
20,
80
] | 32 |
[
"28+20=48",
"80/5=16",
"48-16=32"
] |
Current State: 32:[28, 5, 20, 80], Operations: []
Exploring Operation: 28+20=48, Resulting Numbers: [5, 80, 48]
Generated Node #2: [5, 80, 48] from Operation: 28+20=48
Current State: 32:[5, 80, 48], Operations: ['28+20=48']
Exploring Operation: 80/5=16, Resulting Numbers: [48, 16]
Generated Node #3: [48, 16] from Operation: 80/5=16
Current State: 32:[48, 16], Operations: ['28+20=48', '80/5=16']
Exploring Operation: 48-16=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
Current State: 32:[28, 5, 20, 80], Operations: []
Exploring Operation: 80/20=4, Resulting Numbers: [28, 5, 4]
Generated Node #0,0: 32:[28, 5, 4] Operation: 80/20=4
Moving to Node #0,0
Current State: 32:[28, 5, 4], Operations: ['80/20=4']
Exploring Operation: 28+5=33, Resulting Numbers: [4, 33]
Generated Node #0,0,0: 32:[4, 33] Operation: 28+5=33
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 32:[4, 33], Operations: ['80/20=4', '28+5=33']
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,32 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
|
[
21,
58,
3,
6
] | 63 |
[
"21-6=15",
"15/3=5",
"58+5=63"
] |
Current State: 63:[21, 58, 3, 6], Operations: []
Exploring Operation: 21-6=15, Resulting Numbers: [58, 3, 15]
Generated Node #2: [58, 3, 15] from Operation: 21-6=15
Current State: 63:[58, 3, 15], Operations: ['21-6=15']
Exploring Operation: 15/3=5, Resulting Numbers: [58, 5]
Generated Node #3: [58, 5] from Operation: 15/3=5
Current State: 63:[58, 5], Operations: ['21-6=15', '15/3=5']
Exploring Operation: 58+5=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
Current State: 63:[21, 58, 3, 6], Operations: []
Exploring Operation: 58+3=61, Resulting Numbers: [21, 6, 61]
Generated Node #0,0: 63:[21, 6, 61] Operation: 58+3=61
Exploring Operation: 3+6=9, Resulting Numbers: [21, 58, 9]
Generated Node #0,1: 63:[21, 58, 9] Operation: 3+6=9
Exploring Operation: 58+6=64, Resulting Numbers: [21, 3, 64]
Generated Node #0,2: 63:[21, 3, 64] Operation: 58+6=64
Moving to Node #0,2
Current State: 63:[21, 3, 64], Operations: ['58+6=64']
Exploring Operation: 21/3=7, Resulting Numbers: [64, 7]
Generated Node #0,2,0: 63:[64, 7] Operation: 21/3=7
Exploring Operation: 64-3=61, Resulting Numbers: [21, 61]
Generated Node #0,2,1: 63:[21, 61] Operation: 64-3=61
Exploring Operation: 21*3=63, Resulting Numbers: [64, 63]
Generated Node #0,2,2: 63:[64, 63] Operation: 21*3=63
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 63:[64, 7], Operations: ['58+6=64', '21/3=7']
Exploring Operation: 64+7=71, Resulting Numbers: [71]
71,63 unequal: No Solution
Exploring Operation: 64-7=57, Resulting Numbers: [57]
57,63 unequal: No Solution
Exploring Operation: 64*7=448, Resulting Numbers: [448]
448,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 63:[64, 63], Operations: ['58+6=64', '21*3=63']
Exploring Operation: 64+63=127, Resulting Numbers: [127]
127,63 unequal: No Solution
Exploring Operation: 64-63=1, Resulting Numbers: [1]
1,63 unequal: No Solution
Exploring Operation: 64*63=4032, Resulting Numbers: [4032]
4032,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 63:[21, 61], Operations: ['58+6=64', '64-3=61']
Exploring Operation: 61-21=40, Resulting Numbers: [40]
40,63 unequal: No Solution
Exploring Operation: 21*61=1281, Resulting Numbers: [1281]
1281,63 unequal: No Solution
Exploring Operation: 21+61=82, Resulting Numbers: [82]
82,63 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: 63:[21, 6, 61], Operations: ['58+3=61']
Exploring Operation: 21+6=27, Resulting Numbers: [61, 27]
Generated Node #0,0,0: 63:[61, 27] Operation: 21+6=27
Exploring Operation: 21-6=15, Resulting Numbers: [61, 15]
Generated Node #0,0,1: 63:[61, 15] Operation: 21-6=15
Exploring Operation: 6+61=67, Resulting Numbers: [21, 67]
Generated Node #0,0,2: 63:[21, 67] Operation: 6+61=67
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 63:[21, 67], Operations: ['58+3=61', '6+61=67']
Exploring Operation: 67-21=46, Resulting Numbers: [46]
46,63 unequal: No Solution
Exploring Operation: 21*67=1407, Resulting Numbers: [1407]
1407,63 unequal: No Solution
Exploring Operation: 21+67=88, Resulting Numbers: [88]
88,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 63:[61, 27], Operations: ['58+3=61', '21+6=27']
Exploring Operation: 61+27=88, Resulting Numbers: [88]
88,63 unequal: No Solution
Exploring Operation: 61-27=34, Resulting Numbers: [34]
34,63 unequal: No Solution
Exploring Operation: 61*27=1647, Resulting Numbers: [1647]
1647,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 63:[61, 15], Operations: ['58+3=61', '21-6=15']
Exploring Operation: 61+15=76, Resulting Numbers: [76]
76,63 unequal: No Solution
Exploring Operation: 61*15=915, Resulting Numbers: [915]
915,63 unequal: No Solution
Exploring Operation: 61-15=46, Resulting Numbers: [46]
46,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 63:[21, 58, 9], Operations: ['3+6=9']
Exploring Operation: 58+9=67, Resulting Numbers: [21, 67]
Generated Node #0,1,0: 63:[21, 67] Operation: 58+9=67
Exploring Operation: 21+9=30, Resulting Numbers: [58, 30]
Generated Node #0,1,1: 63:[58, 30] Operation: 21+9=30
Exploring Operation: 21-9=12, Resulting Numbers: [58, 12]
Generated Node #0,1,2: 63:[58, 12] Operation: 21-9=12
Moving to Node #0,1,0
Current State: 63:[21, 67], Operations: ['3+6=9', '58+9=67']
Exploring Operation: 21*67=1407, Resulting Numbers: [1407]
1407,63 unequal: No Solution
Exploring Operation: 21+67=88, Resulting Numbers: [88]
88,63 unequal: No Solution
Exploring Operation: 67-21=46, Resulting Numbers: [46]
46,63 unequal: No Solution
Moving to Node #0,1,2
Current State: 63:[58, 12], Operations: ['3+6=9', '21-9=12']
Exploring Operation: 58+12=70, Resulting Numbers: [70]
70,63 unequal: No Solution
Exploring Operation: 58-12=46, Resulting Numbers: [46]
46,63 unequal: No Solution
Exploring Operation: 58*12=696, Resulting Numbers: [696]
696,63 unequal: No Solution
Moving to Node #0,1,1
Current State: 63:[58, 30], Operations: ['3+6=9', '21+9=30']
Exploring Operation: 58-30=28, Resulting Numbers: [28]
28,63 unequal: No Solution
Exploring Operation: 58+30=88, Resulting Numbers: [88]
88,63 unequal: No Solution
Exploring Operation: 58*30=1740, Resulting Numbers: [1740]
1740,63 unequal: No Solution
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
2,
85,
38,
39
] | 84 |
[
"85-2=83",
"39-38=1",
"83+1=84"
] |
Current State: 84:[2, 85, 38, 39], Operations: []
Exploring Operation: 85-2=83, Resulting Numbers: [38, 39, 83]
Generated Node #2: [38, 39, 83] from Operation: 85-2=83
Current State: 84:[38, 39, 83], Operations: ['85-2=83']
Exploring Operation: 39-38=1, Resulting Numbers: [83, 1]
Generated Node #3: [83, 1] from Operation: 39-38=1
Current State: 84:[83, 1], Operations: ['85-2=83', '39-38=1']
Exploring Operation: 83+1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
Current State: 84:[2, 85, 38, 39], Operations: []
Exploring Operation: 39-38=1, Resulting Numbers: [2, 85, 1]
Generated Node #0,0: 84:[2, 85, 1] Operation: 39-38=1
Exploring Operation: 2+38=40, Resulting Numbers: [85, 39, 40]
Generated Node #0,1: 84:[85, 39, 40] Operation: 2+38=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[2, 85, 1], Operations: ['39-38=1']
Exploring Operation: 85-1=84, Resulting Numbers: [2, 84]
Generated Node #0,0,0: 84:[2, 84] Operation: 85-1=84
Exploring Operation: 2+1=3, Resulting Numbers: [85, 3]
Generated Node #0,0,1: 84:[85, 3] Operation: 2+1=3
Moving to Node #0,0,0
Current State: 84:[2, 84], Operations: ['39-38=1', '85-1=84']
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,84 unequal: No Solution
Exploring Operation: 2+84=86, Resulting Numbers: [86]
86,84 unequal: No Solution
Moving to Node #0,0,1
Current State: 84:[85, 3], Operations: ['39-38=1', '2+1=3']
Exploring Operation: 85+3=88, Resulting Numbers: [88]
88,84 unequal: No Solution
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[85, 39, 40], Operations: ['2+38=40']
Exploring Operation: 85-39=46, Resulting Numbers: [40, 46]
Generated Node #0,1,0: 84:[40, 46] Operation: 85-39=46
Exploring Operation: 40-39=1, Resulting Numbers: [85, 1]
Generated Node #0,1,1: 84:[85, 1] Operation: 40-39=1
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 84:[85, 1], Operations: ['2+38=40', '40-39=1']
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[2, 85, 38, 39], Operations: []
Exploring Operation: 2+38=40, Resulting Numbers: [85, 39, 40]
Generated Node #0,1: 84:[85, 39, 40] Operation: 2+38=40
Moving to Node #0,1
Current State: 84:[85, 39, 40], Operations: ['2+38=40']
Exploring Operation: 40-39=1, Resulting Numbers: [85, 1]
Generated Node #0,1,1: 84:[85, 1] Operation: 40-39=1
Moving to Node #0,1,1
Current State: 84:[85, 1], Operations: ['2+38=40', '40-39=1']
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 |
hs_2
|
sum_heuristic
|
[
85,
1,
94,
85
] | 93 |
[
"85+1=86",
"94+85=179",
"179-86=93"
] |
Current State: 93:[85, 1, 94, 85], Operations: []
Exploring Operation: 85+1=86, Resulting Numbers: [94, 86]
Generated Node #2: [94, 86] from Operation: 85+1=86
Current State: 93:[94, 86], Operations: ['85+1=86']
Exploring Operation: 94+85=179, Resulting Numbers: [86, 179]
Generated Node #3: [86, 179] from Operation: 94+85=179
Current State: 93:[86, 179], Operations: ['85+1=86', '94+85=179']
Exploring Operation: 179-86=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
Current State: 93:[85, 1, 94, 85], Operations: []
Exploring Operation: 85+1=86, Resulting Numbers: [94, 85, 86]
Generated Node #0,0: 93:[94, 85, 86] Operation: 85+1=86
Exploring Operation: 85/85=1, Resulting Numbers: [1, 94, 1]
Generated Node #0,1: 93:[1, 94, 1] Operation: 85/85=1
Exploring Operation: 85-85=0, Resulting Numbers: [1, 94, 0]
Generated Node #0,2: 93:[1, 94, 0] Operation: 85-85=0
Moving to Node #0,1
Current State: 93:[1, 94, 1], Operations: ['85/85=1']
Exploring Operation: 94-1=93, Resulting Numbers: [1, 93]
Generated Node #0,1,0: 93:[1, 93] Operation: 94-1=93
Exploring Operation: 1+1=2, Resulting Numbers: [94, 2]
Generated Node #0,1,1: 93:[94, 2] Operation: 1+1=2
Exploring Operation: 94-1=93, Resulting Numbers: [1, 93]
Generated Node #0,1,2: 93:[1, 93] Operation: 94-1=93
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 93:[1, 93], Operations: ['85/85=1', '94-1=93']
Exploring Operation: 1*93=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[85, 1, 94, 85], Operations: []
Exploring Operation: 85/85=1, Resulting Numbers: [1, 94, 1]
Generated Node #0,1: 93:[1, 94, 1] Operation: 85/85=1
Moving to Node #0,1
Current State: 93:[1, 94, 1], Operations: ['85/85=1']
Exploring Operation: 94-1=93, Resulting Numbers: [1, 93]
Generated Node #0,1,0: 93:[1, 93] Operation: 94-1=93
Moving to Node #0,1,0
Current State: 93:[1, 93], Operations: ['85/85=1', '94-1=93']
Exploring Operation: 1*93=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 |
hs_3
|
sum_heuristic
|
[
7,
86,
23,
10
] | 85 |
[
"7*23=161",
"86-10=76",
"161-76=85"
] |
Current State: 85:[7, 86, 23, 10], Operations: []
Exploring Operation: 7*23=161, Resulting Numbers: [86, 10, 161]
Generated Node #2: [86, 10, 161] from Operation: 7*23=161
Current State: 85:[86, 10, 161], Operations: ['7*23=161']
Exploring Operation: 86-10=76, Resulting Numbers: [161, 76]
Generated Node #3: [161, 76] from Operation: 86-10=76
Current State: 85:[161, 76], Operations: ['7*23=161', '86-10=76']
Exploring Operation: 161-76=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
Current State: 85:[7, 86, 23, 10], Operations: []
Exploring Operation: 7+10=17, Resulting Numbers: [86, 23, 17]
Generated Node #0,0: 85:[86, 23, 17] Operation: 7+10=17
Exploring Operation: 23-7=16, Resulting Numbers: [86, 10, 16]
Generated Node #0,1: 85:[86, 10, 16] Operation: 23-7=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[86, 23, 17], Operations: ['7+10=17']
Exploring Operation: 86-23=63, Resulting Numbers: [17, 63]
Generated Node #0,0,0: 85:[17, 63] Operation: 86-23=63
Exploring Operation: 23-17=6, Resulting Numbers: [86, 6]
Generated Node #0,0,1: 85:[86, 6] Operation: 23-17=6
Moving to Node #0,0,1
Current State: 85:[86, 6], Operations: ['7+10=17', '23-17=6']
Exploring Operation: 86-6=80, Resulting Numbers: [80]
80,85 unequal: No Solution
Exploring Operation: 86+6=92, Resulting Numbers: [92]
92,85 unequal: No Solution
Moving to Node #0,0,0
Current State: 85:[17, 63], Operations: ['7+10=17', '86-23=63']
Exploring Operation: 63-17=46, Resulting Numbers: [46]
46,85 unequal: No Solution
Exploring Operation: 17+63=80, Resulting Numbers: [80]
80,85 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:[86, 10, 16], Operations: ['23-7=16']
Exploring Operation: 86-10=76, Resulting Numbers: [16, 76]
Generated Node #0,1,0: 85:[16, 76] Operation: 86-10=76
Exploring Operation: 16-10=6, Resulting Numbers: [86, 6]
Generated Node #0,1,1: 85:[86, 6] Operation: 16-10=6
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 85:[86, 6], Operations: ['23-7=16', '16-10=6']
Exploring Operation: 86+6=92, Resulting Numbers: [92]
92,85 unequal: No Solution
Exploring Operation: 86-6=80, Resulting Numbers: [80]
80,85 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 #0,1,0
Current State: 85:[16, 76], Operations: ['23-7=16', '86-10=76']
Exploring Operation: 16+76=92, Resulting Numbers: [92]
92,85 unequal: No Solution
Exploring Operation: 76-16=60, Resulting Numbers: [60]
60,85 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
|
[
3,
29,
99,
61
] | 55 |
[
"3*61=183",
"29+99=128",
"183-128=55"
] |
Current State: 55:[3, 29, 99, 61], Operations: []
Exploring Operation: 3*61=183, Resulting Numbers: [29, 99, 183]
Generated Node #2: [29, 99, 183] from Operation: 3*61=183
Current State: 55:[29, 99, 183], Operations: ['3*61=183']
Exploring Operation: 29+99=128, Resulting Numbers: [183, 128]
Generated Node #3: [183, 128] from Operation: 29+99=128
Current State: 55:[183, 128], Operations: ['3*61=183', '29+99=128']
Exploring Operation: 183-128=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
Current State: 55:[3, 29, 99, 61], Operations: []
Exploring Operation: 29-3=26, Resulting Numbers: [99, 61, 26]
Generated Node #0,0: 55:[99, 61, 26] Operation: 29-3=26
Exploring Operation: 99-29=70, Resulting Numbers: [3, 61, 70]
Generated Node #0,1: 55:[3, 61, 70] Operation: 99-29=70
Exploring Operation: 99/3=33, Resulting Numbers: [29, 61, 33]
Generated Node #0,2: 55:[29, 61, 33] Operation: 99/3=33
Exploring Operation: 99-61=38, Resulting Numbers: [3, 29, 38]
Generated Node #0,3: 55:[3, 29, 38] Operation: 99-61=38
Start Sub Search at level 1: Moving to Node #0,1
Current State: 55:[3, 61, 70], Operations: ['99-29=70']
Exploring Operation: 70-61=9, Resulting Numbers: [3, 9]
Generated Node #0,1,0: 55:[3, 9] Operation: 70-61=9
Exploring Operation: 3+61=64, Resulting Numbers: [70, 64]
Generated Node #0,1,1: 55:[70, 64] Operation: 3+61=64
Exploring Operation: 70-3=67, Resulting Numbers: [61, 67]
Generated Node #0,1,2: 55:[61, 67] Operation: 70-3=67
Exploring Operation: 61-3=58, Resulting Numbers: [70, 58]
Generated Node #0,1,3: 55:[70, 58] Operation: 61-3=58
Moving to Node #0,1,0
Current State: 55:[3, 9], Operations: ['99-29=70', '70-61=9']
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,55 unequal: No Solution
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,55 unequal: No Solution
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,55 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,55 unequal: No Solution
Moving to Node #0,1,3
Current State: 55:[70, 58], Operations: ['99-29=70', '61-3=58']
Exploring Operation: 70+58=128, Resulting Numbers: [128]
128,55 unequal: No Solution
Exploring Operation: 70*58=4060, Resulting Numbers: [4060]
4060,55 unequal: No Solution
Exploring Operation: 70-58=12, Resulting Numbers: [12]
12,55 unequal: No Solution
Moving to Node #0,1,2
Current State: 55:[61, 67], Operations: ['99-29=70', '70-3=67']
Exploring Operation: 67-61=6, Resulting Numbers: [6]
6,55 unequal: No Solution
Exploring Operation: 61*67=4087, Resulting Numbers: [4087]
4087,55 unequal: No Solution
Exploring Operation: 61+67=128, Resulting Numbers: [128]
128,55 unequal: No Solution
Moving to Node #0,1,1
Current State: 55:[70, 64], Operations: ['99-29=70', '3+61=64']
Exploring Operation: 70-64=6, Resulting Numbers: [6]
6,55 unequal: No Solution
Exploring Operation: 70+64=134, Resulting Numbers: [134]
134,55 unequal: No Solution
Exploring Operation: 70*64=4480, Resulting Numbers: [4480]
4480,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 55:[3, 29, 38], Operations: ['99-61=38']
Exploring Operation: 29+38=67, Resulting Numbers: [3, 67]
Generated Node #0,3,0: 55:[3, 67] Operation: 29+38=67
Exploring Operation: 38-29=9, Resulting Numbers: [3, 9]
Generated Node #0,3,1: 55:[3, 9] Operation: 38-29=9
Exploring Operation: 3+38=41, Resulting Numbers: [29, 41]
Generated Node #0,3,2: 55:[29, 41] Operation: 3+38=41
Exploring Operation: 29-3=26, Resulting Numbers: [38, 26]
Generated Node #0,3,3: 55:[38, 26] Operation: 29-3=26
Moving to Node #0,3,1
Current State: 55:[3, 9], Operations: ['99-61=38', '38-29=9']
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,55 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,55 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,55 unequal: No Solution
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,55 unequal: No Solution
Moving to Node #0,3,0
Current State: 55:[3, 67], Operations: ['99-61=38', '29+38=67']
Exploring Operation: 3*67=201, Resulting Numbers: [201]
201,55 unequal: No Solution
Exploring Operation: 3+67=70, Resulting Numbers: [70]
70,55 unequal: No Solution
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Moving to Node #0,3,3
Current State: 55:[38, 26], Operations: ['99-61=38', '29-3=26']
Exploring Operation: 38+26=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Exploring Operation: 38*26=988, Resulting Numbers: [988]
988,55 unequal: No Solution
Exploring Operation: 38-26=12, Resulting Numbers: [12]
12,55 unequal: No Solution
Moving to Node #0,3,2
Current State: 55:[29, 41], Operations: ['99-61=38', '3+38=41']
Exploring Operation: 29+41=70, Resulting Numbers: [70]
70,55 unequal: No Solution
Exploring Operation: 29*41=1189, Resulting Numbers: [1189]
1189,55 unequal: No Solution
Exploring Operation: 41-29=12, Resulting Numbers: [12]
12,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 55:[29, 61, 33], Operations: ['99/3=33']
Exploring Operation: 29+33=62, Resulting Numbers: [61, 62]
Generated Node #0,2,0: 55:[61, 62] Operation: 29+33=62
Exploring Operation: 61-33=28, Resulting Numbers: [29, 28]
Generated Node #0,2,1: 55:[29, 28] Operation: 61-33=28
Exploring Operation: 61-29=32, Resulting Numbers: [33, 32]
Generated Node #0,2,2: 55:[33, 32] Operation: 61-29=32
Exploring Operation: 33-29=4, Resulting Numbers: [61, 4]
Generated Node #0,2,3: 55:[61, 4] Operation: 33-29=4
Moving to Node #0,2,3
Current State: 55:[61, 4], Operations: ['99/3=33', '33-29=4']
Exploring Operation: 61+4=65, Resulting Numbers: [65]
65,55 unequal: No Solution
Exploring Operation: 61*4=244, Resulting Numbers: [244]
244,55 unequal: No Solution
Exploring Operation: 61-4=57, Resulting Numbers: [57]
57,55 unequal: No Solution
Moving to Node #0,2,0
Current State: 55:[61, 62], Operations: ['99/3=33', '29+33=62']
Exploring Operation: 61*62=3782, Resulting Numbers: [3782]
3782,55 unequal: No Solution
Exploring Operation: 61+62=123, Resulting Numbers: [123]
123,55 unequal: No Solution
Exploring Operation: 62-61=1, Resulting Numbers: [1]
1,55 unequal: No Solution
Moving to Node #0,2,1
Current State: 55:[29, 28], Operations: ['99/3=33', '61-33=28']
Exploring Operation: 29+28=57, Resulting Numbers: [57]
57,55 unequal: No Solution
Exploring Operation: 29-28=1, Resulting Numbers: [1]
1,55 unequal: No Solution
Exploring Operation: 29*28=812, Resulting Numbers: [812]
812,55 unequal: No Solution
Moving to Node #0,2,2
Current State: 55:[33, 32], Operations: ['99/3=33', '61-29=32']
Exploring Operation: 33*32=1056, Resulting Numbers: [1056]
1056,55 unequal: No Solution
Exploring Operation: 33+32=65, Resulting Numbers: [65]
65,55 unequal: No Solution
Exploring Operation: 33-32=1, Resulting Numbers: [1]
1,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[99, 61, 26], Operations: ['29-3=26']
Exploring Operation: 99+26=125, Resulting Numbers: [61, 125]
Generated Node #0,0,0: 55:[61, 125] Operation: 99+26=125
Exploring Operation: 99-26=73, Resulting Numbers: [61, 73]
Generated Node #0,0,1: 55:[61, 73] Operation: 99-26=73
Exploring Operation: 61-26=35, Resulting Numbers: [99, 35]
Generated Node #0,0,2: 55:[99, 35] Operation: 61-26=35
Exploring Operation: 99-61=38, Resulting Numbers: [26, 38]
Generated Node #0,0,3: 55:[26, 38] Operation: 99-61=38
Moving to Node #0,0,1
Current State: 55:[61, 73], Operations: ['29-3=26', '99-26=73']
Exploring Operation: 61*73=4453, Resulting Numbers: [4453]
4453,55 unequal: No Solution
Exploring Operation: 61+73=134, Resulting Numbers: [134]
134,55 unequal: No Solution
Exploring Operation: 73-61=12, Resulting Numbers: [12]
12,55 unequal: No Solution
Moving to Node #0,0,3
Current State: 55:[26, 38], Operations: ['29-3=26', '99-61=38']
Exploring Operation: 26*38=988, Resulting Numbers: [988]
988,55 unequal: No Solution
Exploring Operation: 26+38=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Exploring Operation: 38-26=12, Resulting Numbers: [12]
12,55 unequal: No Solution
Moving to Node #0,0,2
Current State: 55:[99, 35], Operations: ['29-3=26', '61-26=35']
Exploring Operation: 99*35=3465, Resulting Numbers: [3465]
3465,55 unequal: No Solution
Exploring Operation: 99-35=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Exploring Operation: 99+35=134, Resulting Numbers: [134]
134,55 unequal: No Solution
Moving to Node #0,0,0
Current State: 55:[61, 125], Operations: ['29-3=26', '99+26=125']
Exploring Operation: 61+125=186, Resulting Numbers: [186]
186,55 unequal: No Solution
Exploring Operation: 125-61=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Exploring Operation: 61*125=7625, Resulting Numbers: [7625]
7625,55 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
|
[
88,
81,
93,
66
] | 75 |
[
"93-88=5",
"81-66=15",
"5*15=75"
] |
Current State: 75:[88, 81, 93, 66], Operations: []
Exploring Operation: 93-88=5, Resulting Numbers: [81, 66, 5]
Generated Node #2: [81, 66, 5] from Operation: 93-88=5
Current State: 75:[81, 66, 5], Operations: ['93-88=5']
Exploring Operation: 81-66=15, Resulting Numbers: [5, 15]
Generated Node #3: [5, 15] from Operation: 81-66=15
Current State: 75:[5, 15], Operations: ['93-88=5', '81-66=15']
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
Current State: 75:[88, 81, 93, 66], Operations: []
Exploring Operation: 93-81=12, Resulting Numbers: [88, 66, 12]
Generated Node #0,0: 75:[88, 66, 12] Operation: 93-81=12
Exploring Operation: 93-66=27, Resulting Numbers: [88, 81, 27]
Generated Node #0,1: 75:[88, 81, 27] Operation: 93-66=27
Exploring Operation: 88-66=22, Resulting Numbers: [81, 93, 22]
Generated Node #0,2: 75:[81, 93, 22] Operation: 88-66=22
Exploring Operation: 93-88=5, Resulting Numbers: [81, 66, 5]
Generated Node #0,3: 75:[81, 66, 5] Operation: 93-88=5
Start Sub Search at level 1: Moving to Node #0,3
Current State: 75:[81, 66, 5], Operations: ['93-88=5']
Exploring Operation: 66+5=71, Resulting Numbers: [81, 71]
Generated Node #0,3,0: 75:[81, 71] Operation: 66+5=71
Exploring Operation: 81-66=15, Resulting Numbers: [5, 15]
Generated Node #0,3,1: 75:[5, 15] Operation: 81-66=15
Exploring Operation: 81-5=76, Resulting Numbers: [66, 76]
Generated Node #0,3,2: 75:[66, 76] Operation: 81-5=76
Exploring Operation: 81+5=86, Resulting Numbers: [66, 86]
Generated Node #0,3,3: 75:[66, 86] Operation: 81+5=86
Moving to Node #0,3,1
Current State: 75:[5, 15], Operations: ['93-88=5', '81-66=15']
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,75 unequal: No Solution
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[88, 81, 93, 66], Operations: []
Exploring Operation: 93-88=5, Resulting Numbers: [81, 66, 5]
Generated Node #0,3: 75:[81, 66, 5] Operation: 93-88=5
Moving to Node #0,3
Current State: 75:[81, 66, 5], Operations: ['93-88=5']
Exploring Operation: 81-66=15, Resulting Numbers: [5, 15]
Generated Node #0,3,1: 75:[5, 15] Operation: 81-66=15
Moving to Node #0,3,1
Current State: 75:[5, 15], Operations: ['93-88=5', '81-66=15']
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 |
hs_4
|
sum_heuristic
|
[
91,
85,
12,
42
] | 84 |
[
"91-85=6",
"12*42=504",
"504/6=84"
] |
Current State: 84:[91, 85, 12, 42], Operations: []
Exploring Operation: 91-85=6, Resulting Numbers: [12, 42, 6]
Generated Node #2: [12, 42, 6] from Operation: 91-85=6
Current State: 84:[12, 42, 6], Operations: ['91-85=6']
Exploring Operation: 12*42=504, Resulting Numbers: [6, 504]
Generated Node #3: [6, 504] from Operation: 12*42=504
Current State: 84:[6, 504], Operations: ['91-85=6', '12*42=504']
Exploring Operation: 504/6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
Current State: 84:[91, 85, 12, 42], Operations: []
Exploring Operation: 85-42=43, Resulting Numbers: [91, 12, 43]
Generated Node #0,0: 84:[91, 12, 43] Operation: 85-42=43
Exploring Operation: 91-85=6, Resulting Numbers: [12, 42, 6]
Generated Node #0,1: 84:[12, 42, 6] Operation: 91-85=6
Exploring Operation: 91-42=49, Resulting Numbers: [85, 12, 49]
Generated Node #0,2: 84:[85, 12, 49] Operation: 91-42=49
Exploring Operation: 91-12=79, Resulting Numbers: [85, 42, 79]
Generated Node #0,3: 84:[85, 42, 79] Operation: 91-12=79
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[12, 42, 6], Operations: ['91-85=6']
Exploring Operation: 42/6=7, Resulting Numbers: [12, 7]
Generated Node #0,1,0: 84:[12, 7] Operation: 42/6=7
Exploring Operation: 12/6=2, Resulting Numbers: [42, 2]
Generated Node #0,1,1: 84:[42, 2] Operation: 12/6=2
Exploring Operation: 42-12=30, Resulting Numbers: [6, 30]
Generated Node #0,1,2: 84:[6, 30] Operation: 42-12=30
Exploring Operation: 12-6=6, Resulting Numbers: [42, 6]
Generated Node #0,1,3: 84:[42, 6] Operation: 12-6=6
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 84:[12, 7], Operations: ['91-85=6', '42/6=7']
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[91, 85, 12, 42], Operations: []
Exploring Operation: 91-85=6, Resulting Numbers: [12, 42, 6]
Generated Node #0,1: 84:[12, 42, 6] Operation: 91-85=6
Moving to Node #0,1
Current State: 84:[12, 42, 6], Operations: ['91-85=6']
Exploring Operation: 42/6=7, Resulting Numbers: [12, 7]
Generated Node #0,1,0: 84:[12, 7] Operation: 42/6=7
Moving to Node #0,1,0
Current State: 84:[12, 7], Operations: ['91-85=6', '42/6=7']
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 |
hs_4
|
mult_heuristic
|
[
33,
80,
91,
21
] | 43 |
[
"33+80=113",
"91-21=70",
"113-70=43"
] |
Current State: 43:[33, 80, 91, 21], Operations: []
Exploring Operation: 33+80=113, Resulting Numbers: [91, 21, 113]
Generated Node #2: [91, 21, 113] from Operation: 33+80=113
Current State: 43:[91, 21, 113], Operations: ['33+80=113']
Exploring Operation: 91-21=70, Resulting Numbers: [113, 70]
Generated Node #3: [113, 70] from Operation: 91-21=70
Current State: 43:[113, 70], Operations: ['33+80=113', '91-21=70']
Exploring Operation: 113-70=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
Current State: 43:[33, 80, 91, 21], Operations: []
Exploring Operation: 80-33=47, Resulting Numbers: [91, 21, 47]
Generated Node #0,0: 43:[91, 21, 47] Operation: 80-33=47
Exploring Operation: 91-21=70, Resulting Numbers: [33, 80, 70]
Generated Node #0,1: 43:[33, 80, 70] Operation: 91-21=70
Exploring Operation: 91-80=11, Resulting Numbers: [33, 21, 11]
Generated Node #0,2: 43:[33, 21, 11] Operation: 91-80=11
Exploring Operation: 91-33=58, Resulting Numbers: [80, 21, 58]
Generated Node #0,3: 43:[80, 21, 58] Operation: 91-33=58
Exploring Operation: 80-21=59, Resulting Numbers: [33, 91, 59]
Generated Node #0,4: 43:[33, 91, 59] Operation: 80-21=59
Start Sub Search at level 1: Moving to Node #0,2
Current State: 43:[33, 21, 11], Operations: ['91-80=11']
Exploring Operation: 33+11=44, Resulting Numbers: [21, 44]
Generated Node #0,2,0: 43:[21, 44] Operation: 33+11=44
Exploring Operation: 21-11=10, Resulting Numbers: [33, 10]
Generated Node #0,2,1: 43:[33, 10] Operation: 21-11=10
Exploring Operation: 21+11=32, Resulting Numbers: [33, 32]
Generated Node #0,2,2: 43:[33, 32] Operation: 21+11=32
Exploring Operation: 33-11=22, Resulting Numbers: [21, 22]
Generated Node #0,2,3: 43:[21, 22] Operation: 33-11=22
Exploring Operation: 33+21=54, Resulting Numbers: [11, 54]
Generated Node #0,2,4: 43:[11, 54] Operation: 33+21=54
Moving to Node #0,2,2
Current State: 43:[33, 32], Operations: ['91-80=11', '21+11=32']
Exploring Operation: 33*32=1056, Resulting Numbers: [1056]
1056,43 unequal: No Solution
Exploring Operation: 33-32=1, Resulting Numbers: [1]
1,43 unequal: No Solution
Exploring Operation: 33+32=65, Resulting Numbers: [65]
65,43 unequal: No Solution
Moving to Node #0,2,0
Current State: 43:[21, 44], Operations: ['91-80=11', '33+11=44']
Exploring Operation: 21+44=65, Resulting Numbers: [65]
65,43 unequal: No Solution
Exploring Operation: 21*44=924, Resulting Numbers: [924]
924,43 unequal: No Solution
Exploring Operation: 44-21=23, Resulting Numbers: [23]
23,43 unequal: No Solution
Moving to Node #0,2,1
Current State: 43:[33, 10], Operations: ['91-80=11', '21-11=10']
Exploring Operation: 33+10=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[33, 80, 91, 21], Operations: []
Exploring Operation: 91-80=11, Resulting Numbers: [33, 21, 11]
Generated Node #0,2: 43:[33, 21, 11] Operation: 91-80=11
Moving to Node #0,2
Current State: 43:[33, 21, 11], Operations: ['91-80=11']
Exploring Operation: 21-11=10, Resulting Numbers: [33, 10]
Generated Node #0,2,1: 43:[33, 10] Operation: 21-11=10
Moving to Node #0,2,1
Current State: 43:[33, 10], Operations: ['91-80=11', '21-11=10']
Exploring Operation: 33+10=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 |
hs_5
|
sum_heuristic
|
[
89,
72,
91,
97
] | 82 |
[
"97-89=8",
"72/8=9",
"91-9=82"
] |
Current State: 82:[89, 72, 91, 97], Operations: []
Exploring Operation: 97-89=8, Resulting Numbers: [72, 91, 8]
Generated Node #2: [72, 91, 8] from Operation: 97-89=8
Current State: 82:[72, 91, 8], Operations: ['97-89=8']
Exploring Operation: 72/8=9, Resulting Numbers: [91, 9]
Generated Node #3: [91, 9] from Operation: 72/8=9
Current State: 82:[91, 9], Operations: ['97-89=8', '72/8=9']
Exploring Operation: 91-9=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
Current State: 82:[89, 72, 91, 97], Operations: []
Exploring Operation: 97-72=25, Resulting Numbers: [89, 91, 25]
Generated Node #0,0: 82:[89, 91, 25] Operation: 97-72=25
Exploring Operation: 97-89=8, Resulting Numbers: [72, 91, 8]
Generated Node #0,1: 82:[72, 91, 8] Operation: 97-89=8
Exploring Operation: 91-89=2, Resulting Numbers: [72, 97, 2]
Generated Node #0,2: 82:[72, 97, 2] Operation: 91-89=2
Exploring Operation: 97-91=6, Resulting Numbers: [89, 72, 6]
Generated Node #0,3: 82:[89, 72, 6] Operation: 97-91=6
Moving to Node #0,3
Current State: 82:[89, 72, 6], Operations: ['97-91=6']
Exploring Operation: 89-6=83, Resulting Numbers: [72, 83]
Generated Node #0,3,0: 82:[72, 83] Operation: 89-6=83
Exploring Operation: 72/6=12, Resulting Numbers: [89, 12]
Generated Node #0,3,1: 82:[89, 12] Operation: 72/6=12
Exploring Operation: 89-72=17, Resulting Numbers: [6, 17]
Generated Node #0,3,2: 82:[6, 17] Operation: 89-72=17
Exploring Operation: 72+6=78, Resulting Numbers: [89, 78]
Generated Node #0,3,3: 82:[89, 78] Operation: 72+6=78
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 82:[72, 83], Operations: ['97-91=6', '89-6=83']
Exploring Operation: 83-72=11, Resulting Numbers: [11]
11,82 unequal: No Solution
Exploring Operation: 72*83=5976, Resulting Numbers: [5976]
5976,82 unequal: No Solution
Exploring Operation: 72+83=155, Resulting Numbers: [155]
155,82 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 #0,3,3
Current State: 82:[89, 78], Operations: ['97-91=6', '72+6=78']
Exploring Operation: 89*78=6942, Resulting Numbers: [6942]
6942,82 unequal: No Solution
Exploring Operation: 89+78=167, Resulting Numbers: [167]
167,82 unequal: No Solution
Exploring Operation: 89-78=11, Resulting Numbers: [11]
11,82 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 #0,3,1
Current State: 82:[89, 12], Operations: ['97-91=6', '72/6=12']
Exploring Operation: 89*12=1068, Resulting Numbers: [1068]
1068,82 unequal: No Solution
Exploring Operation: 89-12=77, Resulting Numbers: [77]
77,82 unequal: No Solution
Exploring Operation: 89+12=101, Resulting Numbers: [101]
101,82 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 #0,3,2
Current State: 82:[6, 17], Operations: ['97-91=6', '89-72=17']
Exploring Operation: 6*17=102, Resulting Numbers: [102]
102,82 unequal: No Solution
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,82 unequal: No Solution
Exploring Operation: 6+17=23, Resulting Numbers: [23]
23,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 82:[72, 97, 2], Operations: ['91-89=2']
Exploring Operation: 72+2=74, Resulting Numbers: [97, 74]
Generated Node #0,2,0: 82:[97, 74] Operation: 72+2=74
Exploring Operation: 97-2=95, Resulting Numbers: [72, 95]
Generated Node #0,2,1: 82:[72, 95] Operation: 97-2=95
Exploring Operation: 72/2=36, Resulting Numbers: [97, 36]
Generated Node #0,2,2: 82:[97, 36] Operation: 72/2=36
Exploring Operation: 97-72=25, Resulting Numbers: [2, 25]
Generated Node #0,2,3: 82:[2, 25] Operation: 97-72=25
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 82:[2, 25], Operations: ['91-89=2', '97-72=25']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,82 unequal: No Solution
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,82 unequal: No Solution
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,82 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 #0,2,2
Current State: 82:[97, 36], Operations: ['91-89=2', '72/2=36']
Exploring Operation: 97+36=133, Resulting Numbers: [133]
133,82 unequal: No Solution
Exploring Operation: 97*36=3492, Resulting Numbers: [3492]
3492,82 unequal: No Solution
Exploring Operation: 97-36=61, Resulting Numbers: [61]
61,82 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 #0,2,0
Current State: 82:[97, 74], Operations: ['91-89=2', '72+2=74']
Exploring Operation: 97-74=23, Resulting Numbers: [23]
23,82 unequal: No Solution
Exploring Operation: 97+74=171, Resulting Numbers: [171]
171,82 unequal: No Solution
Exploring Operation: 97*74=7178, Resulting Numbers: [7178]
7178,82 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 #0,2,1
Current State: 82:[72, 95], Operations: ['91-89=2', '97-2=95']
Exploring Operation: 72+95=167, Resulting Numbers: [167]
167,82 unequal: No Solution
Exploring Operation: 72*95=6840, Resulting Numbers: [6840]
6840,82 unequal: No Solution
Exploring Operation: 95-72=23, Resulting Numbers: [23]
23,82 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:[72, 91, 8], Operations: ['97-89=8']
Exploring Operation: 72+8=80, Resulting Numbers: [91, 80]
Generated Node #0,1,0: 82:[91, 80] Operation: 72+8=80
Exploring Operation: 91-72=19, Resulting Numbers: [8, 19]
Generated Node #0,1,1: 82:[8, 19] Operation: 91-72=19
Exploring Operation: 91-8=83, Resulting Numbers: [72, 83]
Generated Node #0,1,2: 82:[72, 83] Operation: 91-8=83
Exploring Operation: 72/8=9, Resulting Numbers: [91, 9]
Generated Node #0,1,3: 82:[91, 9] Operation: 72/8=9
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 82:[91, 80], Operations: ['97-89=8', '72+8=80']
Exploring Operation: 91-80=11, Resulting Numbers: [11]
11,82 unequal: No Solution
Exploring Operation: 91*80=7280, Resulting Numbers: [7280]
7280,82 unequal: No Solution
Exploring Operation: 91+80=171, Resulting Numbers: [171]
171,82 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:[72, 83], Operations: ['97-89=8', '91-8=83']
Exploring Operation: 72+83=155, Resulting Numbers: [155]
155,82 unequal: No Solution
Exploring Operation: 83-72=11, Resulting Numbers: [11]
11,82 unequal: No Solution
Exploring Operation: 72*83=5976, Resulting Numbers: [5976]
5976,82 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 #0,1,3
Current State: 82:[91, 9], Operations: ['97-89=8', '72/8=9']
Exploring Operation: 91+9=100, Resulting Numbers: [100]
100,82 unequal: No Solution
Exploring Operation: 91*9=819, Resulting Numbers: [819]
819,82 unequal: No Solution
Exploring Operation: 91-9=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[89, 72, 91, 97], Operations: []
Exploring Operation: 97-89=8, Resulting Numbers: [72, 91, 8]
Generated Node #0,1: 82:[72, 91, 8] Operation: 97-89=8
Moving to Node #0,1
Current State: 82:[72, 91, 8], Operations: ['97-89=8']
Exploring Operation: 72/8=9, Resulting Numbers: [91, 9]
Generated Node #0,1,3: 82:[91, 9] Operation: 72/8=9
Moving to Node #0,1,3
Current State: 82:[91, 9], Operations: ['97-89=8', '72/8=9']
Exploring Operation: 91-9=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.953993 |
hs_4
|
mult_heuristic
|
[
20,
2,
40,
60
] | 60 |
[
"20*2=40",
"40+60=100",
"100-40=60"
] |
Current State: 60:[20, 2, 40, 60], Operations: []
Exploring Operation: 20*2=40, Resulting Numbers: [40, 60, 40]
Generated Node #2: [40, 60, 40] from Operation: 20*2=40
Current State: 60:[40, 60, 40], Operations: ['20*2=40']
Exploring Operation: 40+60=100, Resulting Numbers: [100]
100,60 equal: Goal Reached
Exploring Operation: 100-40=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
Current State: 60:[20, 2, 40, 60], Operations: []
Exploring Operation: 20+40=60, Resulting Numbers: [2, 60, 60]
Generated Node #0,0: 60:[2, 60, 60] Operation: 20+40=60
Exploring Operation: 40-20=20, Resulting Numbers: [2, 60, 20]
Generated Node #0,1: 60:[2, 60, 20] Operation: 40-20=20
Exploring Operation: 40/20=2, Resulting Numbers: [2, 60, 2]
Generated Node #0,2: 60:[2, 60, 2] Operation: 40/20=2
Moving to Node #0,0
Current State: 60:[2, 60, 60], Operations: ['20+40=60']
Exploring Operation: 60/2=30, Resulting Numbers: [60, 30]
Generated Node #0,0,0: 60:[60, 30] Operation: 60/2=30
Exploring Operation: 60/60=1, Resulting Numbers: [2, 1]
Generated Node #0,0,1: 60:[2, 1] Operation: 60/60=1
Exploring Operation: 60/2=30, Resulting Numbers: [60, 30]
Generated Node #0,0,2: 60:[60, 30] Operation: 60/2=30
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 60:[60, 30], Operations: ['20+40=60', '60/2=30']
Exploring Operation: 60+30=90, Resulting Numbers: [90]
90,60 unequal: No Solution
Exploring Operation: 60-30=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Exploring Operation: 60/30=2, Resulting Numbers: [2]
2,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 60:[60, 30], Operations: ['20+40=60', '60/2=30']
Exploring Operation: 60-30=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Exploring Operation: 60/30=2, Resulting Numbers: [2]
2,60 unequal: No Solution
Exploring Operation: 60+30=90, Resulting Numbers: [90]
90,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 60:[2, 1], Operations: ['20+40=60', '60/60=1']
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,60 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,60 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 60:[2, 60, 20], Operations: ['40-20=20']
Exploring Operation: 60/2=30, Resulting Numbers: [20, 30]
Generated Node #0,1,0: 60:[20, 30] Operation: 60/2=30
Exploring Operation: 20/2=10, Resulting Numbers: [60, 10]
Generated Node #0,1,1: 60:[60, 10] Operation: 20/2=10
Exploring Operation: 60/20=3, Resulting Numbers: [2, 3]
Generated Node #0,1,2: 60:[2, 3] Operation: 60/20=3
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 60:[20, 30], Operations: ['40-20=20', '60/2=30']
Exploring Operation: 30-20=10, Resulting Numbers: [10]
10,60 unequal: No Solution
Exploring Operation: 20+30=50, Resulting Numbers: [50]
50,60 unequal: No Solution
Exploring Operation: 20*30=600, Resulting Numbers: [600]
600,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 60:[60, 10], Operations: ['40-20=20', '20/2=10']
Exploring Operation: 60+10=70, Resulting Numbers: [70]
70,60 unequal: No Solution
Exploring Operation: 60/10=6, Resulting Numbers: [6]
6,60 unequal: No Solution
Exploring Operation: 60-10=50, Resulting Numbers: [50]
50,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 60:[2, 3], Operations: ['40-20=20', '60/20=3']
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,60 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 60:[2, 60, 2], Operations: ['40/20=2']
Exploring Operation: 2*2=4, Resulting Numbers: [60, 4]
Generated Node #0,2,0: 60:[60, 4] Operation: 2*2=4
Exploring Operation: 2+2=4, Resulting Numbers: [60, 4]
Generated Node #0,2,1: 60:[60, 4] Operation: 2+2=4
Exploring Operation: 60/2=30, Resulting Numbers: [2, 30]
Generated Node #0,2,2: 60:[2, 30] Operation: 60/2=30
Moving to Node #0,2,0
Current State: 60:[60, 4], Operations: ['40/20=2', '2*2=4']
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,60 unequal: No Solution
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,60 unequal: No Solution
Exploring Operation: 60+4=64, Resulting Numbers: [64]
64,60 unequal: No Solution
Moving to Node #0,2,1
Current State: 60:[60, 4], Operations: ['40/20=2', '2+2=4']
Exploring Operation: 60+4=64, Resulting Numbers: [64]
64,60 unequal: No Solution
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,60 unequal: No Solution
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,60 unequal: No Solution
Moving to Node #0,2,2
Current State: 60:[2, 30], Operations: ['40/20=2', '60/2=30']
Exploring Operation: 2+30=32, Resulting Numbers: [32]
32,60 unequal: No Solution
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,60 unequal: No Solution
Exploring Operation: 2*30=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[20, 2, 40, 60], Operations: []
Exploring Operation: 40/20=2, Resulting Numbers: [2, 60, 2]
Generated Node #0,2: 60:[2, 60, 2] Operation: 40/20=2
Moving to Node #0,2
Current State: 60:[2, 60, 2], Operations: ['40/20=2']
Exploring Operation: 60/2=30, Resulting Numbers: [2, 30]
Generated Node #0,2,2: 60:[2, 30] Operation: 60/2=30
Moving to Node #0,2,2
Current State: 60:[2, 30], Operations: ['40/20=2', '60/2=30']
Exploring Operation: 2*30=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 0.962674 |
hs_3
|
sum_heuristic
|
[
29,
97,
19,
75
] | 87 |
[
"97-19=78",
"78-75=3",
"29*3=87"
] |
Current State: 87:[29, 97, 19, 75], Operations: []
Exploring Operation: 97-19=78, Resulting Numbers: [29, 75, 78]
Generated Node #2: [29, 75, 78] from Operation: 97-19=78
Current State: 87:[29, 75, 78], Operations: ['97-19=78']
Exploring Operation: 78-75=3, Resulting Numbers: [29, 3]
Generated Node #3: [29, 3] from Operation: 78-75=3
Current State: 87:[29, 3], Operations: ['97-19=78', '78-75=3']
Exploring Operation: 29*3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
Current State: 87:[29, 97, 19, 75], Operations: []
Exploring Operation: 97-19=78, Resulting Numbers: [29, 75, 78]
Generated Node #0,0: 87:[29, 75, 78] Operation: 97-19=78
Exploring Operation: 97-75=22, Resulting Numbers: [29, 19, 22]
Generated Node #0,1: 87:[29, 19, 22] Operation: 97-75=22
Exploring Operation: 19+75=94, Resulting Numbers: [29, 97, 94]
Generated Node #0,2: 87:[29, 97, 94] Operation: 19+75=94
Exploring Operation: 29-19=10, Resulting Numbers: [97, 75, 10]
Generated Node #0,3: 87:[97, 75, 10] Operation: 29-19=10
Moving to Node #0,1
Current State: 87:[29, 19, 22], Operations: ['97-75=22']
Exploring Operation: 22-19=3, Resulting Numbers: [29, 3]
Generated Node #0,1,0: 87:[29, 3] Operation: 22-19=3
Exploring Operation: 19+22=41, Resulting Numbers: [29, 41]
Generated Node #0,1,1: 87:[29, 41] Operation: 19+22=41
Exploring Operation: 29-22=7, Resulting Numbers: [19, 7]
Generated Node #0,1,2: 87:[19, 7] Operation: 29-22=7
Exploring Operation: 29-19=10, Resulting Numbers: [22, 10]
Generated Node #0,1,3: 87:[22, 10] Operation: 29-19=10
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 87:[29, 3], Operations: ['97-75=22', '22-19=3']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,87 unequal: No Solution
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,87 unequal: No Solution
Exploring Operation: 29*3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[29, 97, 19, 75], Operations: []
Exploring Operation: 97-75=22, Resulting Numbers: [29, 19, 22]
Generated Node #0,1: 87:[29, 19, 22] Operation: 97-75=22
Moving to Node #0,1
Current State: 87:[29, 19, 22], Operations: ['97-75=22']
Exploring Operation: 22-19=3, Resulting Numbers: [29, 3]
Generated Node #0,1,0: 87:[29, 3] Operation: 22-19=3
Moving to Node #0,1,0
Current State: 87:[29, 3], Operations: ['97-75=22', '22-19=3']
Exploring Operation: 29*3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 |
hs_4
|
sum_heuristic
|
[
84,
68,
80,
53
] | 36 |
[
"84-80=4",
"68/4=17",
"53-17=36"
] |
Current State: 36:[84, 68, 80, 53], Operations: []
Exploring Operation: 84-80=4, Resulting Numbers: [68, 53, 4]
Generated Node #2: [68, 53, 4] from Operation: 84-80=4
Current State: 36:[68, 53, 4], Operations: ['84-80=4']
Exploring Operation: 68/4=17, Resulting Numbers: [53, 17]
Generated Node #3: [53, 17] from Operation: 68/4=17
Current State: 36:[53, 17], Operations: ['84-80=4', '68/4=17']
Exploring Operation: 53-17=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
Current State: 36:[84, 68, 80, 53], Operations: []
Exploring Operation: 84-80=4, Resulting Numbers: [68, 53, 4]
Generated Node #0,0: 36:[68, 53, 4] Operation: 84-80=4
Moving to Node #0,0
Current State: 36:[68, 53, 4], Operations: ['84-80=4']
Exploring Operation: 68-53=15, Resulting Numbers: [4, 15]
Generated Node #0,0,0: 36:[4, 15] Operation: 68-53=15
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 36:[4, 15], Operations: ['84-80=4', '68-53=15']
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,36 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
|
[
8,
55,
10,
91
] | 45 |
[
"91-55=36",
"10*36=360",
"360/8=45"
] |
Current State: 45:[8, 55, 10, 91], Operations: []
Exploring Operation: 91-55=36, Resulting Numbers: [8, 10, 36]
Generated Node #2: [8, 10, 36] from Operation: 91-55=36
Current State: 45:[8, 10, 36], Operations: ['91-55=36']
Exploring Operation: 10*36=360, Resulting Numbers: [8, 360]
Generated Node #3: [8, 360] from Operation: 10*36=360
Current State: 45:[8, 360], Operations: ['91-55=36', '10*36=360']
Exploring Operation: 360/8=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
Current State: 45:[8, 55, 10, 91], Operations: []
Exploring Operation: 55-10=45, Resulting Numbers: [8, 91, 45]
Generated Node #0,0: 45:[8, 91, 45] Operation: 55-10=45
Exploring Operation: 91-55=36, Resulting Numbers: [8, 10, 36]
Generated Node #0,1: 45:[8, 10, 36] Operation: 91-55=36
Start Sub Search at level 1: Moving to Node #0,1
Current State: 45:[8, 10, 36], Operations: ['91-55=36']
Exploring Operation: 10+36=46, Resulting Numbers: [8, 46]
Generated Node #0,1,0: 45:[8, 46] Operation: 10+36=46
Exploring Operation: 8+36=44, Resulting Numbers: [10, 44]
Generated Node #0,1,1: 45:[10, 44] Operation: 8+36=44
Moving to Node #0,1,0
Current State: 45:[8, 46], Operations: ['91-55=36', '10+36=46']
Exploring Operation: 8+46=54, Resulting Numbers: [54]
54,45 unequal: No Solution
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,45 unequal: No Solution
Moving to Node #0,1,1
Current State: 45:[10, 44], Operations: ['91-55=36', '8+36=44']
Exploring Operation: 44-10=34, Resulting Numbers: [34]
34,45 unequal: No Solution
Exploring Operation: 10+44=54, Resulting Numbers: [54]
54,45 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 #0,0
Current State: 45:[8, 91, 45], Operations: ['55-10=45']
Exploring Operation: 91-8=83, Resulting Numbers: [45, 83]
Generated Node #0,0,0: 45:[45, 83] Operation: 91-8=83
Exploring Operation: 91-45=46, Resulting Numbers: [8, 46]
Generated Node #0,0,1: 45:[8, 46] Operation: 91-45=46
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 45:[8, 46], Operations: ['55-10=45', '91-45=46']
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,45 unequal: No Solution
Exploring Operation: 8+46=54, Resulting Numbers: [54]
54,45 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 #0,0,0
Current State: 45:[45, 83], Operations: ['55-10=45', '91-8=83']
Exploring Operation: 83-45=38, Resulting Numbers: [38]
38,45 unequal: No Solution
Exploring Operation: 45+83=128, Resulting Numbers: [128]
128,45 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
|
mult_heuristic
|
[
59,
13,
85,
98
] | 88 |
[
"98-59=39",
"39/13=3",
"85+3=88"
] |
Current State: 88:[59, 13, 85, 98], Operations: []
Exploring Operation: 98-59=39, Resulting Numbers: [13, 85, 39]
Generated Node #2: [13, 85, 39] from Operation: 98-59=39
Current State: 88:[13, 85, 39], Operations: ['98-59=39']
Exploring Operation: 39/13=3, Resulting Numbers: [85, 3]
Generated Node #3: [85, 3] from Operation: 39/13=3
Current State: 88:[85, 3], Operations: ['98-59=39', '39/13=3']
Exploring Operation: 85+3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
Current State: 88:[59, 13, 85, 98], Operations: []
Exploring Operation: 98-59=39, Resulting Numbers: [13, 85, 39]
Generated Node #0,0: 88:[13, 85, 39] Operation: 98-59=39
Exploring Operation: 98-85=13, Resulting Numbers: [59, 13, 13]
Generated Node #0,1: 88:[59, 13, 13] Operation: 98-85=13
Exploring Operation: 85-59=26, Resulting Numbers: [13, 98, 26]
Generated Node #0,2: 88:[13, 98, 26] Operation: 85-59=26
Exploring Operation: 59-13=46, Resulting Numbers: [85, 98, 46]
Generated Node #0,3: 88:[85, 98, 46] Operation: 59-13=46
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[13, 85, 39], Operations: ['98-59=39']
Exploring Operation: 85-39=46, Resulting Numbers: [13, 46]
Generated Node #0,0,0: 88:[13, 46] Operation: 85-39=46
Exploring Operation: 39-13=26, Resulting Numbers: [85, 26]
Generated Node #0,0,1: 88:[85, 26] Operation: 39-13=26
Exploring Operation: 13+39=52, Resulting Numbers: [85, 52]
Generated Node #0,0,2: 88:[85, 52] Operation: 13+39=52
Exploring Operation: 39/13=3, Resulting Numbers: [85, 3]
Generated Node #0,0,3: 88:[85, 3] Operation: 39/13=3
Moving to Node #0,0,0
Current State: 88:[13, 46], Operations: ['98-59=39', '85-39=46']
Exploring Operation: 13+46=59, Resulting Numbers: [59]
59,88 unequal: No Solution
Exploring Operation: 46-13=33, Resulting Numbers: [33]
33,88 unequal: No Solution
Exploring Operation: 13*46=598, Resulting Numbers: [598]
598,88 unequal: No Solution
Moving to Node #0,0,3
Current State: 88:[85, 3], Operations: ['98-59=39', '39/13=3']
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,88 unequal: No Solution
Exploring Operation: 85+3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[59, 13, 85, 98], Operations: []
Exploring Operation: 98-59=39, Resulting Numbers: [13, 85, 39]
Generated Node #0,0: 88:[13, 85, 39] Operation: 98-59=39
Moving to Node #0,0
Current State: 88:[13, 85, 39], Operations: ['98-59=39']
Exploring Operation: 39/13=3, Resulting Numbers: [85, 3]
Generated Node #0,0,3: 88:[85, 3] Operation: 39/13=3
Moving to Node #0,0,3
Current State: 88:[85, 3], Operations: ['98-59=39', '39/13=3']
Exploring Operation: 85+3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 |
hs_4
|
sum_heuristic
|
[
85,
30,
5,
5
] | 16 |
[
"85-30=55",
"55/5=11",
"5+11=16"
] |
Current State: 16:[85, 30, 5, 5], Operations: []
Exploring Operation: 85-30=55, Resulting Numbers: [5, 5, 55]
Generated Node #2: [5, 5, 55] from Operation: 85-30=55
Current State: 16:[5, 5, 55], Operations: ['85-30=55']
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,16 equal: Goal Reached
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
Current State: 16:[85, 30, 5, 5], Operations: []
Exploring Operation: 85/5=17, Resulting Numbers: [30, 5, 17]
Generated Node #0,0: 16:[30, 5, 17] Operation: 85/5=17
Exploring Operation: 85/5=17, Resulting Numbers: [30, 5, 17]
Generated Node #0,1: 16:[30, 5, 17] Operation: 85/5=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[30, 5, 17], Operations: ['85/5=17']
Exploring Operation: 30/5=6, Resulting Numbers: [17, 6]
Generated Node #0,0,0: 16:[17, 6] Operation: 30/5=6
Exploring Operation: 30-17=13, Resulting Numbers: [5, 13]
Generated Node #0,0,1: 16:[5, 13] Operation: 30-17=13
Moving to Node #0,0,0
Current State: 16:[17, 6], Operations: ['85/5=17', '30/5=6']
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,16 unequal: No Solution
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Moving to Node #0,0,1
Current State: 16:[5, 13], Operations: ['85/5=17', '30-17=13']
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,16 unequal: No Solution
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,16 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 #0,1
Current State: 16:[30, 5, 17], Operations: ['85/5=17']
Exploring Operation: 30/5=6, Resulting Numbers: [17, 6]
Generated Node #0,1,0: 16:[17, 6] Operation: 30/5=6
Exploring Operation: 30-17=13, Resulting Numbers: [5, 13]
Generated Node #0,1,1: 16:[5, 13] Operation: 30-17=13
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 16:[17, 6], Operations: ['85/5=17', '30/5=6']
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,16 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:[5, 13], Operations: ['85/5=17', '30-17=13']
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,16 unequal: No Solution
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,16 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_2
|
mult_heuristic
|
[
65,
26,
73,
35
] | 95 |
[
"73-35=38",
"65*38=2470",
"2470/26=95"
] |
Current State: 95:[65, 26, 73, 35], Operations: []
Exploring Operation: 73-35=38, Resulting Numbers: [65, 26, 38]
Generated Node #2: [65, 26, 38] from Operation: 73-35=38
Current State: 95:[65, 26, 38], Operations: ['73-35=38']
Exploring Operation: 65*38=2470, Resulting Numbers: [26, 2470]
Generated Node #3: [26, 2470] from Operation: 65*38=2470
Current State: 95:[26, 2470], Operations: ['73-35=38', '65*38=2470']
Exploring Operation: 2470/26=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
Current State: 95:[65, 26, 73, 35], Operations: []
Exploring Operation: 73-65=8, Resulting Numbers: [26, 35, 8]
Generated Node #0,0: 95:[26, 35, 8] Operation: 73-65=8
Exploring Operation: 65+35=100, Resulting Numbers: [26, 73, 100]
Generated Node #0,1: 95:[26, 73, 100] Operation: 65+35=100
Moving to Node #0,0
Current State: 95:[26, 35, 8], Operations: ['73-65=8']
Exploring Operation: 35-26=9, Resulting Numbers: [8, 9]
Generated Node #0,0,0: 95:[8, 9] Operation: 35-26=9
Exploring Operation: 35-8=27, Resulting Numbers: [26, 27]
Generated Node #0,0,1: 95:[26, 27] Operation: 35-8=27
Moving to Node #0,1
Current State: 95:[26, 73, 100], Operations: ['65+35=100']
Exploring Operation: 100-73=27, Resulting Numbers: [26, 27]
Generated Node #0,1,0: 95:[26, 27] Operation: 100-73=27
Exploring Operation: 26+73=99, Resulting Numbers: [100, 99]
Generated Node #0,1,1: 95:[100, 99] Operation: 26+73=99
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 95:[100, 99], Operations: ['65+35=100', '26+73=99']
Exploring Operation: 100+99=199, Resulting Numbers: [199]
199,95 unequal: No Solution
Exploring Operation: 100-99=1, Resulting Numbers: [1]
1,95 unequal: No Solution
No 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: 95:[26, 27], Operations: ['65+35=100', '100-73=27']
Exploring Operation: 26+27=53, Resulting Numbers: [53]
53,95 unequal: No Solution
Exploring Operation: 27-26=1, Resulting Numbers: [1]
1,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 95:[8, 9], Operations: ['73-65=8', '35-26=9']
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,95 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Moving to Node #0,0,1
Current State: 95:[26, 27], Operations: ['73-65=8', '35-8=27']
Exploring Operation: 26+27=53, Resulting Numbers: [53]
53,95 unequal: No Solution
Exploring Operation: 27-26=1, Resulting Numbers: [1]
1,95 unequal: No Solution
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
65,
2,
32,
3
] | 19 |
[
"2+3=5",
"65/5=13",
"32-13=19"
] |
Current State: 19:[65, 2, 32, 3], Operations: []
Exploring Operation: 2+3=5, Resulting Numbers: [65, 32, 5]
Generated Node #2: [65, 32, 5] from Operation: 2+3=5
Current State: 19:[65, 32, 5], Operations: ['2+3=5']
Exploring Operation: 65/5=13, Resulting Numbers: [32, 13]
Generated Node #3: [32, 13] from Operation: 65/5=13
Current State: 19:[32, 13], Operations: ['2+3=5', '65/5=13']
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
Current State: 19:[65, 2, 32, 3], Operations: []
Exploring Operation: 32/2=16, Resulting Numbers: [65, 3, 16]
Generated Node #0,0: 19:[65, 3, 16] Operation: 32/2=16
Exploring Operation: 65-32=33, Resulting Numbers: [2, 3, 33]
Generated Node #0,1: 19:[2, 3, 33] Operation: 65-32=33
Exploring Operation: 2*3=6, Resulting Numbers: [65, 32, 6]
Generated Node #0,2: 19:[65, 32, 6] Operation: 2*3=6
Moving to Node #0,1
Current State: 19:[2, 3, 33], Operations: ['65-32=33']
Exploring Operation: 33/3=11, Resulting Numbers: [2, 11]
Generated Node #0,1,0: 19:[2, 11] Operation: 33/3=11
Exploring Operation: 2*3=6, Resulting Numbers: [33, 6]
Generated Node #0,1,1: 19:[33, 6] Operation: 2*3=6
Exploring Operation: 2+3=5, Resulting Numbers: [33, 5]
Generated Node #0,1,2: 19:[33, 5] Operation: 2+3=5
Moving to Node #0,0
Current State: 19:[65, 3, 16], Operations: ['32/2=16']
Exploring Operation: 3+16=19, Resulting Numbers: [65, 19]
Generated Node #0,0,0: 19:[65, 19] Operation: 3+16=19
Exploring Operation: 65-16=49, Resulting Numbers: [3, 49]
Generated Node #0,0,1: 19:[3, 49] Operation: 65-16=49
Exploring Operation: 65-3=62, Resulting Numbers: [16, 62]
Generated Node #0,0,2: 19:[16, 62] Operation: 65-3=62
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 19:[65, 19], Operations: ['32/2=16', '3+16=19']
Exploring Operation: 65-19=46, Resulting Numbers: [46]
46,19 unequal: No Solution
Exploring Operation: 65+19=84, Resulting Numbers: [84]
84,19 unequal: No Solution
Exploring Operation: 65*19=1235, Resulting Numbers: [1235]
1235,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 19:[3, 49], Operations: ['32/2=16', '65-16=49']
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,19 unequal: No Solution
Exploring Operation: 3*49=147, Resulting Numbers: [147]
147,19 unequal: No Solution
Exploring Operation: 3+49=52, Resulting Numbers: [52]
52,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 19:[16, 62], Operations: ['32/2=16', '65-3=62']
Exploring Operation: 16*62=992, Resulting Numbers: [992]
992,19 unequal: No Solution
Exploring Operation: 16+62=78, Resulting Numbers: [78]
78,19 unequal: No Solution
Exploring Operation: 62-16=46, Resulting Numbers: [46]
46,19 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: 19:[65, 32, 6], Operations: ['2*3=6']
Exploring Operation: 65-6=59, Resulting Numbers: [32, 59]
Generated Node #0,2,0: 19:[32, 59] Operation: 65-6=59
Exploring Operation: 32-6=26, Resulting Numbers: [65, 26]
Generated Node #0,2,1: 19:[65, 26] Operation: 32-6=26
Exploring Operation: 65-32=33, Resulting Numbers: [6, 33]
Generated Node #0,2,2: 19:[6, 33] Operation: 65-32=33
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 19:[6, 33], Operations: ['2*3=6', '65-32=33']
Exploring Operation: 6+33=39, Resulting Numbers: [39]
39,19 unequal: No Solution
Exploring Operation: 6*33=198, Resulting Numbers: [198]
198,19 unequal: No Solution
Exploring Operation: 33-6=27, Resulting Numbers: [27]
27,19 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 #0,2,0
Current State: 19:[32, 59], Operations: ['2*3=6', '65-6=59']
Exploring Operation: 32*59=1888, Resulting Numbers: [1888]
1888,19 unequal: No Solution
Exploring Operation: 32+59=91, Resulting Numbers: [91]
91,19 unequal: No Solution
Exploring Operation: 59-32=27, Resulting Numbers: [27]
27,19 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 #0,2,1
Current State: 19:[65, 26], Operations: ['2*3=6', '32-6=26']
Exploring Operation: 65-26=39, Resulting Numbers: [39]
39,19 unequal: No Solution
Exploring Operation: 65+26=91, Resulting Numbers: [91]
91,19 unequal: No Solution
Exploring Operation: 65*26=1690, Resulting Numbers: [1690]
1690,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 19:[2, 11], Operations: ['65-32=33', '33/3=11']
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,19 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,19 unequal: No Solution
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Moving to Node #0,1,1
Current State: 19:[33, 6], Operations: ['65-32=33', '2*3=6']
Exploring Operation: 33-6=27, Resulting Numbers: [27]
27,19 unequal: No Solution
Exploring Operation: 33*6=198, Resulting Numbers: [198]
198,19 unequal: No Solution
Exploring Operation: 33+6=39, Resulting Numbers: [39]
39,19 unequal: No Solution
Moving to Node #0,1,2
Current State: 19:[33, 5], Operations: ['65-32=33', '2+3=5']
Exploring Operation: 33*5=165, Resulting Numbers: [165]
165,19 unequal: No Solution
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 33+5=38, Resulting Numbers: [38]
38,19 unequal: No Solution
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
93,
84,
88,
35
] | 62 |
[
"93-84=9",
"88-35=53",
"9+53=62"
] |
Current State: 62:[93, 84, 88, 35], Operations: []
Exploring Operation: 93-84=9, Resulting Numbers: [88, 35, 9]
Generated Node #2: [88, 35, 9] from Operation: 93-84=9
Current State: 62:[88, 35, 9], Operations: ['93-84=9']
Exploring Operation: 88-35=53, Resulting Numbers: [9, 53]
Generated Node #3: [9, 53] from Operation: 88-35=53
Current State: 62:[9, 53], Operations: ['93-84=9', '88-35=53']
Exploring Operation: 9+53=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
Current State: 62:[93, 84, 88, 35], Operations: []
Exploring Operation: 88-84=4, Resulting Numbers: [93, 35, 4]
Generated Node #0,0: 62:[93, 35, 4] Operation: 88-84=4
Exploring Operation: 88-35=53, Resulting Numbers: [93, 84, 53]
Generated Node #0,1: 62:[93, 84, 53] Operation: 88-35=53
Exploring Operation: 93-84=9, Resulting Numbers: [88, 35, 9]
Generated Node #0,2: 62:[88, 35, 9] Operation: 93-84=9
Exploring Operation: 93-35=58, Resulting Numbers: [84, 88, 58]
Generated Node #0,3: 62:[84, 88, 58] Operation: 93-35=58
Exploring Operation: 93-88=5, Resulting Numbers: [84, 35, 5]
Generated Node #0,4: 62:[84, 35, 5] Operation: 93-88=5
Moving to Node #0,4
Current State: 62:[84, 35, 5], Operations: ['93-88=5']
Exploring Operation: 35/5=7, Resulting Numbers: [84, 7]
Generated Node #0,4,0: 62:[84, 7] Operation: 35/5=7
Exploring Operation: 35-5=30, Resulting Numbers: [84, 30]
Generated Node #0,4,1: 62:[84, 30] Operation: 35-5=30
Exploring Operation: 84-35=49, Resulting Numbers: [5, 49]
Generated Node #0,4,2: 62:[5, 49] Operation: 84-35=49
Exploring Operation: 84+5=89, Resulting Numbers: [35, 89]
Generated Node #0,4,3: 62:[35, 89] Operation: 84+5=89
Exploring Operation: 84-5=79, Resulting Numbers: [35, 79]
Generated Node #0,4,4: 62:[35, 79] Operation: 84-5=79
Moving to Node #0,2
Current State: 62:[88, 35, 9], Operations: ['93-84=9']
Exploring Operation: 88-35=53, Resulting Numbers: [9, 53]
Generated Node #0,2,0: 62:[9, 53] Operation: 88-35=53
Exploring Operation: 88-9=79, Resulting Numbers: [35, 79]
Generated Node #0,2,1: 62:[35, 79] Operation: 88-9=79
Exploring Operation: 88+9=97, Resulting Numbers: [35, 97]
Generated Node #0,2,2: 62:[35, 97] Operation: 88+9=97
Exploring Operation: 35-9=26, Resulting Numbers: [88, 26]
Generated Node #0,2,3: 62:[88, 26] Operation: 35-9=26
Exploring Operation: 35+9=44, Resulting Numbers: [88, 44]
Generated Node #0,2,4: 62:[88, 44] Operation: 35+9=44
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 62:[9, 53], Operations: ['93-84=9', '88-35=53']
Exploring Operation: 9+53=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[93, 84, 88, 35], Operations: []
Exploring Operation: 93-84=9, Resulting Numbers: [88, 35, 9]
Generated Node #0,2: 62:[88, 35, 9] Operation: 93-84=9
Moving to Node #0,2
Current State: 62:[88, 35, 9], Operations: ['93-84=9']
Exploring Operation: 88-35=53, Resulting Numbers: [9, 53]
Generated Node #0,2,0: 62:[9, 53] Operation: 88-35=53
Moving to Node #0,2,0
Current State: 62:[9, 53], Operations: ['93-84=9', '88-35=53']
Exploring Operation: 9+53=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 |
hs_5
|
mult_heuristic
|
[
41,
77,
70,
69
] | 100 |
[
"41+69=110",
"70*110=7700",
"7700/77=100"
] |
Current State: 100:[41, 77, 70, 69], Operations: []
Exploring Operation: 41+69=110, Resulting Numbers: [77, 70, 110]
Generated Node #2: [77, 70, 110] from Operation: 41+69=110
Current State: 100:[77, 70, 110], Operations: ['41+69=110']
Exploring Operation: 70*110=7700, Resulting Numbers: [77, 7700]
Generated Node #3: [77, 7700] from Operation: 70*110=7700
Current State: 100:[77, 7700], Operations: ['41+69=110', '70*110=7700']
Exploring Operation: 7700/77=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
Current State: 100:[41, 77, 70, 69], Operations: []
Exploring Operation: 77-70=7, Resulting Numbers: [41, 69, 7]
Generated Node #0,0: 100:[41, 69, 7] Operation: 77-70=7
Moving to Node #0,0
Current State: 100:[41, 69, 7], Operations: ['77-70=7']
Exploring Operation: 69-41=28, Resulting Numbers: [7, 28]
Generated Node #0,0,0: 100:[7, 28] Operation: 69-41=28
Moving to Node #0,0,0
Current State: 100:[7, 28], Operations: ['77-70=7', '69-41=28']
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,100 unequal: No Solution
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
65,
85,
5,
4
] | 52 |
[
"65+4=69",
"85/5=17",
"69-17=52"
] |
Current State: 52:[65, 85, 5, 4], Operations: []
Exploring Operation: 65+4=69, Resulting Numbers: [85, 5, 69]
Generated Node #2: [85, 5, 69] from Operation: 65+4=69
Current State: 52:[85, 5, 69], Operations: ['65+4=69']
Exploring Operation: 85/5=17, Resulting Numbers: [69, 17]
Generated Node #3: [69, 17] from Operation: 85/5=17
Current State: 52:[69, 17], Operations: ['65+4=69', '85/5=17']
Exploring Operation: 69-17=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
Current State: 52:[65, 85, 5, 4], Operations: []
Exploring Operation: 85-65=20, Resulting Numbers: [5, 4, 20]
Generated Node #0,0: 52:[5, 4, 20] Operation: 85-65=20
Exploring Operation: 85/5=17, Resulting Numbers: [65, 4, 17]
Generated Node #0,1: 52:[65, 4, 17] Operation: 85/5=17
Exploring Operation: 65/5=13, Resulting Numbers: [85, 4, 13]
Generated Node #0,2: 52:[85, 4, 13] Operation: 65/5=13
Exploring Operation: 85-5=80, Resulting Numbers: [65, 4, 80]
Generated Node #0,3: 52:[65, 4, 80] Operation: 85-5=80
Exploring Operation: 65-5=60, Resulting Numbers: [85, 4, 60]
Generated Node #0,4: 52:[85, 4, 60] Operation: 65-5=60
Moving to Node #0,0
Current State: 52:[5, 4, 20], Operations: ['85-65=20']
Exploring Operation: 20/5=4, Resulting Numbers: [4, 4]
Generated Node #0,0,0: 52:[4, 4] Operation: 20/5=4
Exploring Operation: 5+20=25, Resulting Numbers: [4, 25]
Generated Node #0,0,1: 52:[4, 25] Operation: 5+20=25
Exploring Operation: 4+20=24, Resulting Numbers: [5, 24]
Generated Node #0,0,2: 52:[5, 24] Operation: 4+20=24
Exploring Operation: 20/4=5, Resulting Numbers: [5, 5]
Generated Node #0,0,3: 52:[5, 5] Operation: 20/4=5
Exploring Operation: 20-5=15, Resulting Numbers: [4, 15]
Generated Node #0,0,4: 52:[4, 15] Operation: 20-5=15
Moving to Node #0,1
Current State: 52:[65, 4, 17], Operations: ['85/5=17']
Exploring Operation: 4+17=21, Resulting Numbers: [65, 21]
Generated Node #0,1,0: 52:[65, 21] Operation: 4+17=21
Exploring Operation: 65-17=48, Resulting Numbers: [4, 48]
Generated Node #0,1,1: 52:[4, 48] Operation: 65-17=48
Exploring Operation: 17-4=13, Resulting Numbers: [65, 13]
Generated Node #0,1,2: 52:[65, 13] Operation: 17-4=13
Exploring Operation: 65-4=61, Resulting Numbers: [17, 61]
Generated Node #0,1,3: 52:[17, 61] Operation: 65-4=61
Exploring Operation: 65+4=69, Resulting Numbers: [17, 69]
Generated Node #0,1,4: 52:[17, 69] Operation: 65+4=69
Moving to Node #0,2
Current State: 52:[85, 4, 13], Operations: ['65/5=13']
Exploring Operation: 4+13=17, Resulting Numbers: [85, 17]
Generated Node #0,2,0: 52:[85, 17] Operation: 4+13=17
Exploring Operation: 85-13=72, Resulting Numbers: [4, 72]
Generated Node #0,2,1: 52:[4, 72] Operation: 85-13=72
Exploring Operation: 85+4=89, Resulting Numbers: [13, 89]
Generated Node #0,2,2: 52:[13, 89] Operation: 85+4=89
Exploring Operation: 4*13=52, Resulting Numbers: [85, 52]
Generated Node #0,2,3: 52:[85, 52] Operation: 4*13=52
Exploring Operation: 85-4=81, Resulting Numbers: [13, 81]
Generated Node #0,2,4: 52:[13, 81] Operation: 85-4=81
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 52:[4, 72], Operations: ['65/5=13', '85-13=72']
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,52 unequal: No Solution
Exploring Operation: 4*72=288, Resulting Numbers: [288]
288,52 unequal: No Solution
Exploring Operation: 4+72=76, Resulting Numbers: [76]
76,52 unequal: No Solution
Exploring Operation: 72-4=68, Resulting Numbers: [68]
68,52 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 #0,2,4
Current State: 52:[13, 81], Operations: ['65/5=13', '85-4=81']
Exploring Operation: 81-13=68, Resulting Numbers: [68]
68,52 unequal: No Solution
Exploring Operation: 13*81=1053, Resulting Numbers: [1053]
1053,52 unequal: No Solution
Exploring Operation: 13+81=94, Resulting Numbers: [94]
94,52 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 #0,2,3
Current State: 52:[85, 52], Operations: ['65/5=13', '4*13=52']
Exploring Operation: 85*52=4420, Resulting Numbers: [4420]
4420,52 unequal: No Solution
Exploring Operation: 85+52=137, Resulting Numbers: [137]
137,52 unequal: No Solution
Exploring Operation: 85-52=33, Resulting Numbers: [33]
33,52 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 #0,2,0
Current State: 52:[85, 17], Operations: ['65/5=13', '4+13=17']
Exploring Operation: 85-17=68, Resulting Numbers: [68]
68,52 unequal: No Solution
Exploring Operation: 85+17=102, Resulting Numbers: [102]
102,52 unequal: No Solution
Exploring Operation: 85/17=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 85*17=1445, Resulting Numbers: [1445]
1445,52 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 #0,2,2
Current State: 52:[13, 89], Operations: ['65/5=13', '85+4=89']
Exploring Operation: 89-13=76, Resulting Numbers: [76]
76,52 unequal: No Solution
Exploring Operation: 13+89=102, Resulting Numbers: [102]
102,52 unequal: No Solution
Exploring Operation: 13*89=1157, Resulting Numbers: [1157]
1157,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 52:[65, 4, 80], Operations: ['85-5=80']
Exploring Operation: 80-4=76, Resulting Numbers: [65, 76]
Generated Node #0,3,0: 52:[65, 76] Operation: 80-4=76
Exploring Operation: 65+4=69, Resulting Numbers: [80, 69]
Generated Node #0,3,1: 52:[80, 69] Operation: 65+4=69
Exploring Operation: 80-65=15, Resulting Numbers: [4, 15]
Generated Node #0,3,2: 52:[4, 15] Operation: 80-65=15
Exploring Operation: 65-4=61, Resulting Numbers: [80, 61]
Generated Node #0,3,3: 52:[80, 61] Operation: 65-4=61
Exploring Operation: 80/4=20, Resulting Numbers: [65, 20]
Generated Node #0,3,4: 52:[65, 20] Operation: 80/4=20
Moving to Node #0,4
Current State: 52:[85, 4, 60], Operations: ['65-5=60']
Exploring Operation: 85+4=89, Resulting Numbers: [60, 89]
Generated Node #0,4,0: 52:[60, 89] Operation: 85+4=89
Exploring Operation: 60/4=15, Resulting Numbers: [85, 15]
Generated Node #0,4,1: 52:[85, 15] Operation: 60/4=15
Exploring Operation: 60-4=56, Resulting Numbers: [85, 56]
Generated Node #0,4,2: 52:[85, 56] Operation: 60-4=56
Exploring Operation: 85-60=25, Resulting Numbers: [4, 25]
Generated Node #0,4,3: 52:[4, 25] Operation: 85-60=25
Exploring Operation: 85-4=81, Resulting Numbers: [60, 81]
Generated Node #0,4,4: 52:[60, 81] Operation: 85-4=81
Moving to Node #0,0,0
Current State: 52:[4, 4], Operations: ['85-65=20', '20/5=4']
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,52 unequal: No Solution
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,52 unequal: No Solution
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,52 unequal: No Solution
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Moving to Node #0,0,1
Current State: 52:[4, 25], Operations: ['85-65=20', '5+20=25']
Exploring Operation: 4+25=29, Resulting Numbers: [29]
29,52 unequal: No Solution
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,52 unequal: No Solution
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Moving to Node #0,4,3
Current State: 52:[4, 25], Operations: ['65-5=60', '85-60=25']
Exploring Operation: 4+25=29, Resulting Numbers: [29]
29,52 unequal: No Solution
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,52 unequal: No Solution
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Moving to Node #0,0,3
Current State: 52:[5, 5], Operations: ['85-65=20', '20/4=5']
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,52 unequal: No Solution
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Exploring Operation: 5/5=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 5-5=0, Resulting Numbers: [0]
0,52 unequal: No Solution
Moving to Node #0,3,2
Current State: 52:[4, 15], Operations: ['85-5=80', '80-65=15']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,52 unequal: No Solution
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,52 unequal: No Solution
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,52 unequal: No Solution
Moving to Node #0,0,4
Current State: 52:[4, 15], Operations: ['85-65=20', '20-5=15']
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,52 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,52 unequal: No Solution
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,52 unequal: No Solution
Moving to Node #0,0,2
Current State: 52:[5, 24], Operations: ['85-65=20', '4+20=24']
Exploring Operation: 5*24=120, Resulting Numbers: [120]
120,52 unequal: No Solution
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,52 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[4, 48], Operations: ['85/5=17', '65-17=48']
Exploring Operation: 4+48=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[65, 85, 5, 4], Operations: []
Exploring Operation: 85/5=17, Resulting Numbers: [65, 4, 17]
Generated Node #0,1: 52:[65, 4, 17] Operation: 85/5=17
Moving to Node #0,1
Current State: 52:[65, 4, 17], Operations: ['85/5=17']
Exploring Operation: 65-17=48, Resulting Numbers: [4, 48]
Generated Node #0,1,1: 52:[4, 48] Operation: 65-17=48
Moving to Node #0,1,1
Current State: 52:[4, 48], Operations: ['85/5=17', '65-17=48']
Exploring Operation: 4+48=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 0.934896 |
hs_5
|
sum_heuristic
|
[
63,
34,
87,
89
] | 92 |
[
"63-34=29",
"87/29=3",
"89+3=92"
] |
Current State: 92:[63, 34, 87, 89], Operations: []
Exploring Operation: 63-34=29, Resulting Numbers: [87, 89, 29]
Generated Node #2: [87, 89, 29] from Operation: 63-34=29
Current State: 92:[87, 89, 29], Operations: ['63-34=29']
Exploring Operation: 87/29=3, Resulting Numbers: [89, 3]
Generated Node #3: [89, 3] from Operation: 87/29=3
Current State: 92:[89, 3], Operations: ['63-34=29', '87/29=3']
Exploring Operation: 89+3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
Current State: 92:[63, 34, 87, 89], Operations: []
Exploring Operation: 87-63=24, Resulting Numbers: [34, 89, 24]
Generated Node #0,0: 92:[34, 89, 24] Operation: 87-63=24
Exploring Operation: 89-63=26, Resulting Numbers: [34, 87, 26]
Generated Node #0,1: 92:[34, 87, 26] Operation: 89-63=26
Exploring Operation: 63-34=29, Resulting Numbers: [87, 89, 29]
Generated Node #0,2: 92:[87, 89, 29] Operation: 63-34=29
Exploring Operation: 63+34=97, Resulting Numbers: [87, 89, 97]
Generated Node #0,3: 92:[87, 89, 97] Operation: 63+34=97
Moving to Node #0,3
Current State: 92:[87, 89, 97], Operations: ['63+34=97']
Exploring Operation: 97-89=8, Resulting Numbers: [87, 8]
Generated Node #0,3,0: 92:[87, 8] Operation: 97-89=8
Exploring Operation: 97-87=10, Resulting Numbers: [89, 10]
Generated Node #0,3,1: 92:[89, 10] Operation: 97-87=10
Exploring Operation: 87+89=176, Resulting Numbers: [97, 176]
Generated Node #0,3,2: 92:[97, 176] Operation: 87+89=176
Exploring Operation: 89-87=2, Resulting Numbers: [97, 2]
Generated Node #0,3,3: 92:[97, 2] Operation: 89-87=2
Moving to Node #0,2
Current State: 92:[87, 89, 29], Operations: ['63-34=29']
Exploring Operation: 87/29=3, Resulting Numbers: [89, 3]
Generated Node #0,2,0: 92:[89, 3] Operation: 87/29=3
Exploring Operation: 87-29=58, Resulting Numbers: [89, 58]
Generated Node #0,2,1: 92:[89, 58] Operation: 87-29=58
Exploring Operation: 89-29=60, Resulting Numbers: [87, 60]
Generated Node #0,2,2: 92:[87, 60] Operation: 89-29=60
Exploring Operation: 89-87=2, Resulting Numbers: [29, 2]
Generated Node #0,2,3: 92:[29, 2] Operation: 89-87=2
Moving to Node #0,0
Current State: 92:[34, 89, 24], Operations: ['87-63=24']
Exploring Operation: 34+24=58, Resulting Numbers: [89, 58]
Generated Node #0,0,0: 92:[89, 58] Operation: 34+24=58
Exploring Operation: 34-24=10, Resulting Numbers: [89, 10]
Generated Node #0,0,1: 92:[89, 10] Operation: 34-24=10
Exploring Operation: 89-34=55, Resulting Numbers: [24, 55]
Generated Node #0,0,2: 92:[24, 55] Operation: 89-34=55
Exploring Operation: 89-24=65, Resulting Numbers: [34, 65]
Generated Node #0,0,3: 92:[34, 65] Operation: 89-24=65
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 92:[89, 10], Operations: ['87-63=24', '34-24=10']
Exploring Operation: 89-10=79, Resulting Numbers: [79]
79,92 unequal: No Solution
Exploring Operation: 89*10=890, Resulting Numbers: [890]
890,92 unequal: No Solution
Exploring Operation: 89+10=99, Resulting Numbers: [99]
99,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 92:[24, 55], Operations: ['87-63=24', '89-34=55']
Exploring Operation: 24+55=79, Resulting Numbers: [79]
79,92 unequal: No Solution
Exploring Operation: 55-24=31, Resulting Numbers: [31]
31,92 unequal: No Solution
Exploring Operation: 24*55=1320, Resulting Numbers: [1320]
1320,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 92:[89, 58], Operations: ['87-63=24', '34+24=58']
Exploring Operation: 89-58=31, Resulting Numbers: [31]
31,92 unequal: No Solution
Exploring Operation: 89+58=147, Resulting Numbers: [147]
147,92 unequal: No Solution
Exploring Operation: 89*58=5162, Resulting Numbers: [5162]
5162,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 92:[34, 65], Operations: ['87-63=24', '89-24=65']
Exploring Operation: 34*65=2210, Resulting Numbers: [2210]
2210,92 unequal: No Solution
Exploring Operation: 34+65=99, Resulting Numbers: [99]
99,92 unequal: No Solution
Exploring Operation: 65-34=31, Resulting Numbers: [31]
31,92 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: 92:[34, 87, 26], Operations: ['89-63=26']
Exploring Operation: 87-26=61, Resulting Numbers: [34, 61]
Generated Node #0,1,0: 92:[34, 61] Operation: 87-26=61
Exploring Operation: 34-26=8, Resulting Numbers: [87, 8]
Generated Node #0,1,1: 92:[87, 8] Operation: 34-26=8
Exploring Operation: 87-34=53, Resulting Numbers: [26, 53]
Generated Node #0,1,2: 92:[26, 53] Operation: 87-34=53
Exploring Operation: 34+26=60, Resulting Numbers: [87, 60]
Generated Node #0,1,3: 92:[87, 60] Operation: 34+26=60
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 92:[87, 8], Operations: ['89-63=26', '34-26=8']
Exploring Operation: 87*8=696, Resulting Numbers: [696]
696,92 unequal: No Solution
Exploring Operation: 87+8=95, Resulting Numbers: [95]
95,92 unequal: No Solution
Exploring Operation: 87-8=79, Resulting Numbers: [79]
79,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 92:[26, 53], Operations: ['89-63=26', '87-34=53']
Exploring Operation: 53-26=27, Resulting Numbers: [27]
27,92 unequal: No Solution
Exploring Operation: 26+53=79, Resulting Numbers: [79]
79,92 unequal: No Solution
Exploring Operation: 26*53=1378, Resulting Numbers: [1378]
1378,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 92:[87, 60], Operations: ['89-63=26', '34+26=60']
Exploring Operation: 87*60=5220, Resulting Numbers: [5220]
5220,92 unequal: No Solution
Exploring Operation: 87+60=147, Resulting Numbers: [147]
147,92 unequal: No Solution
Exploring Operation: 87-60=27, Resulting Numbers: [27]
27,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 92:[34, 61], Operations: ['89-63=26', '87-26=61']
Exploring Operation: 34*61=2074, Resulting Numbers: [2074]
2074,92 unequal: No Solution
Exploring Operation: 34+61=95, Resulting Numbers: [95]
95,92 unequal: No Solution
Exploring Operation: 61-34=27, Resulting Numbers: [27]
27,92 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: 92:[89, 3], Operations: ['63-34=29', '87/29=3']
Exploring Operation: 89-3=86, Resulting Numbers: [86]
86,92 unequal: No Solution
Exploring Operation: 89*3=267, Resulting Numbers: [267]
267,92 unequal: No Solution
Exploring Operation: 89+3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[63, 34, 87, 89], Operations: []
Exploring Operation: 63-34=29, Resulting Numbers: [87, 89, 29]
Generated Node #0,2: 92:[87, 89, 29] Operation: 63-34=29
Moving to Node #0,2
Current State: 92:[87, 89, 29], Operations: ['63-34=29']
Exploring Operation: 87/29=3, Resulting Numbers: [89, 3]
Generated Node #0,2,0: 92:[89, 3] Operation: 87/29=3
Moving to Node #0,2,0
Current State: 92:[89, 3], Operations: ['63-34=29', '87/29=3']
Exploring Operation: 89+3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 0.955729 |
hs_4
|
mult_heuristic
|
[
33,
12,
19,
79
] | 39 |
[
"33-12=21",
"79-19=60",
"60-21=39"
] |
Current State: 39:[33, 12, 19, 79], Operations: []
Exploring Operation: 33-12=21, Resulting Numbers: [19, 79, 21]
Generated Node #2: [19, 79, 21] from Operation: 33-12=21
Current State: 39:[19, 79, 21], Operations: ['33-12=21']
Exploring Operation: 79-19=60, Resulting Numbers: [21, 60]
Generated Node #3: [21, 60] from Operation: 79-19=60
Current State: 39:[21, 60], Operations: ['33-12=21', '79-19=60']
Exploring Operation: 60-21=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
Current State: 39:[33, 12, 19, 79], Operations: []
Exploring Operation: 79-12=67, Resulting Numbers: [33, 19, 67]
Generated Node #0,0: 39:[33, 19, 67] Operation: 79-12=67
Exploring Operation: 79-33=46, Resulting Numbers: [12, 19, 46]
Generated Node #0,1: 39:[12, 19, 46] Operation: 79-33=46
Exploring Operation: 33-19=14, Resulting Numbers: [12, 79, 14]
Generated Node #0,2: 39:[12, 79, 14] Operation: 33-19=14
Exploring Operation: 79-19=60, Resulting Numbers: [33, 12, 60]
Generated Node #0,3: 39:[33, 12, 60] Operation: 79-19=60
Moving to Node #0,1
Current State: 39:[12, 19, 46], Operations: ['79-33=46']
Exploring Operation: 19-12=7, Resulting Numbers: [46, 7]
Generated Node #0,1,0: 39:[46, 7] Operation: 19-12=7
Exploring Operation: 46-19=27, Resulting Numbers: [12, 27]
Generated Node #0,1,1: 39:[12, 27] Operation: 46-19=27
Exploring Operation: 46-12=34, Resulting Numbers: [19, 34]
Generated Node #0,1,2: 39:[19, 34] Operation: 46-12=34
Exploring Operation: 12+19=31, Resulting Numbers: [46, 31]
Generated Node #0,1,3: 39:[46, 31] Operation: 12+19=31
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 39:[46, 7], Operations: ['79-33=46', '19-12=7']
Exploring Operation: 46+7=53, Resulting Numbers: [53]
53,39 unequal: No Solution
Exploring Operation: 46*7=322, Resulting Numbers: [322]
322,39 unequal: No Solution
Exploring Operation: 46-7=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[33, 12, 19, 79], Operations: []
Exploring Operation: 79-33=46, Resulting Numbers: [12, 19, 46]
Generated Node #0,1: 39:[12, 19, 46] Operation: 79-33=46
Moving to Node #0,1
Current State: 39:[12, 19, 46], Operations: ['79-33=46']
Exploring Operation: 19-12=7, Resulting Numbers: [46, 7]
Generated Node #0,1,0: 39:[46, 7] Operation: 19-12=7
Moving to Node #0,1,0
Current State: 39:[46, 7], Operations: ['79-33=46', '19-12=7']
Exploring Operation: 46-7=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 |
hs_4
|
sum_heuristic
|
[
8,
96,
12,
69
] | 68 |
[
"96/8=12",
"12/12=1",
"69-1=68"
] |
Current State: 68:[8, 96, 12, 69], Operations: []
Exploring Operation: 96/8=12, Resulting Numbers: [12, 69, 12]
Generated Node #2: [12, 69, 12] from Operation: 96/8=12
Current State: 68:[12, 69, 12], Operations: ['96/8=12']
Exploring Operation: 12/12=1, Resulting Numbers: [69, 1]
Generated Node #3: [69, 1] from Operation: 12/12=1
Current State: 68:[69, 1], Operations: ['96/8=12', '12/12=1']
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
Current State: 68:[8, 96, 12, 69], Operations: []
Exploring Operation: 96/8=12, Resulting Numbers: [12, 69, 12]
Generated Node #0,0: 68:[12, 69, 12] Operation: 96/8=12
Exploring Operation: 96-12=84, Resulting Numbers: [8, 69, 84]
Generated Node #0,1: 68:[8, 69, 84] Operation: 96-12=84
Exploring Operation: 96-69=27, Resulting Numbers: [8, 12, 27]
Generated Node #0,2: 68:[8, 12, 27] Operation: 96-69=27
Exploring Operation: 96-8=88, Resulting Numbers: [12, 69, 88]
Generated Node #0,3: 68:[12, 69, 88] Operation: 96-8=88
Exploring Operation: 96/12=8, Resulting Numbers: [8, 69, 8]
Generated Node #0,4: 68:[8, 69, 8] Operation: 96/12=8
Moving to Node #0,4
Current State: 68:[8, 69, 8], Operations: ['96/12=8']
Exploring Operation: 8*8=64, Resulting Numbers: [69, 64]
Generated Node #0,4,0: 68:[69, 64] Operation: 8*8=64
Exploring Operation: 8-8=0, Resulting Numbers: [69, 0]
Generated Node #0,4,1: 68:[69, 0] Operation: 8-8=0
Exploring Operation: 69-8=61, Resulting Numbers: [8, 61]
Generated Node #0,4,2: 68:[8, 61] Operation: 69-8=61
Exploring Operation: 8/8=1, Resulting Numbers: [69, 1]
Generated Node #0,4,3: 68:[69, 1] Operation: 8/8=1
Exploring Operation: 8+8=16, Resulting Numbers: [69, 16]
Generated Node #0,4,4: 68:[69, 16] Operation: 8+8=16
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 68:[69, 1], Operations: ['96/12=8', '8/8=1']
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[8, 96, 12, 69], Operations: []
Exploring Operation: 96/12=8, Resulting Numbers: [8, 69, 8]
Generated Node #0,4: 68:[8, 69, 8] Operation: 96/12=8
Moving to Node #0,4
Current State: 68:[8, 69, 8], Operations: ['96/12=8']
Exploring Operation: 8/8=1, Resulting Numbers: [69, 1]
Generated Node #0,4,3: 68:[69, 1] Operation: 8/8=1
Moving to Node #0,4,3
Current State: 68:[69, 1], Operations: ['96/12=8', '8/8=1']
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 |
hs_5
|
sum_heuristic
|
[
91,
48,
10,
71
] | 50 |
[
"91-71=20",
"20/10=2",
"48+2=50"
] |
Current State: 50:[91, 48, 10, 71], Operations: []
Exploring Operation: 91-71=20, Resulting Numbers: [48, 10, 20]
Generated Node #2: [48, 10, 20] from Operation: 91-71=20
Current State: 50:[48, 10, 20], Operations: ['91-71=20']
Exploring Operation: 20/10=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 20/10=2
Current State: 50:[48, 2], Operations: ['91-71=20', '20/10=2']
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
Current State: 50:[91, 48, 10, 71], Operations: []
Exploring Operation: 91-71=20, Resulting Numbers: [48, 10, 20]
Generated Node #0,0: 50:[48, 10, 20] Operation: 91-71=20
Exploring Operation: 91-48=43, Resulting Numbers: [10, 71, 43]
Generated Node #0,1: 50:[10, 71, 43] Operation: 91-48=43
Moving to Node #0,0
Current State: 50:[48, 10, 20], Operations: ['91-71=20']
Exploring Operation: 20-10=10, Resulting Numbers: [48, 10]
Generated Node #0,0,0: 50:[48, 10] Operation: 20-10=10
Exploring Operation: 20/10=2, Resulting Numbers: [48, 2]
Generated Node #0,0,1: 50:[48, 2] Operation: 20/10=2
Moving to Node #0,1
Current State: 50:[10, 71, 43], Operations: ['91-48=43']
Exploring Operation: 71-10=61, Resulting Numbers: [43, 61]
Generated Node #0,1,0: 50:[43, 61] Operation: 71-10=61
Exploring Operation: 71-43=28, Resulting Numbers: [10, 28]
Generated Node #0,1,1: 50:[10, 28] Operation: 71-43=28
Moving to Node #0,0,0
Current State: 50:[48, 10], Operations: ['91-71=20', '20-10=10']
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,50 unequal: No Solution
Exploring Operation: 48+10=58, Resulting Numbers: [58]
58,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[48, 2], Operations: ['91-71=20', '20/10=2']
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[91, 48, 10, 71], Operations: []
Exploring Operation: 91-71=20, Resulting Numbers: [48, 10, 20]
Generated Node #0,0: 50:[48, 10, 20] Operation: 91-71=20
Moving to Node #0,0
Current State: 50:[48, 10, 20], Operations: ['91-71=20']
Exploring Operation: 20/10=2, Resulting Numbers: [48, 2]
Generated Node #0,0,1: 50:[48, 2] Operation: 20/10=2
Moving to Node #0,0,1
Current State: 50:[48, 2], Operations: ['91-71=20', '20/10=2']
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 0.988715 |
hs_2
|
sum_heuristic
|
[
19,
9,
92,
23
] | 55 |
[
"9*92=828",
"828/23=36",
"19+36=55"
] |
Current State: 55:[19, 9, 92, 23], Operations: []
Exploring Operation: 9*92=828, Resulting Numbers: [19, 23, 828]
Generated Node #2: [19, 23, 828] from Operation: 9*92=828
Current State: 55:[19, 23, 828], Operations: ['9*92=828']
Exploring Operation: 828/23=36, Resulting Numbers: [19, 36]
Generated Node #3: [19, 36] from Operation: 828/23=36
Current State: 55:[19, 36], Operations: ['9*92=828', '828/23=36']
Exploring Operation: 19+36=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
Current State: 55:[19, 9, 92, 23], Operations: []
Exploring Operation: 92-23=69, Resulting Numbers: [19, 9, 69]
Generated Node #0,0: 55:[19, 9, 69] Operation: 92-23=69
Exploring Operation: 23-19=4, Resulting Numbers: [9, 92, 4]
Generated Node #0,1: 55:[9, 92, 4] Operation: 23-19=4
Exploring Operation: 92/23=4, Resulting Numbers: [19, 9, 4]
Generated Node #0,2: 55:[19, 9, 4] Operation: 92/23=4
Exploring Operation: 92-19=73, Resulting Numbers: [9, 23, 73]
Generated Node #0,3: 55:[9, 23, 73] Operation: 92-19=73
Start Sub Search at level 1: Moving to Node #0,2
Current State: 55:[19, 9, 4], Operations: ['92/23=4']
Exploring Operation: 19-4=15, Resulting Numbers: [9, 15]
Generated Node #0,2,0: 55:[9, 15] Operation: 19-4=15
Exploring Operation: 19-9=10, Resulting Numbers: [4, 10]
Generated Node #0,2,1: 55:[4, 10] Operation: 19-9=10
Exploring Operation: 9+4=13, Resulting Numbers: [19, 13]
Generated Node #0,2,2: 55:[19, 13] Operation: 9+4=13
Exploring Operation: 9-4=5, Resulting Numbers: [19, 5]
Generated Node #0,2,3: 55:[19, 5] Operation: 9-4=5
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 55:[4, 10], Operations: ['92/23=4', '19-9=10']
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,55 unequal: No Solution
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,55 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,55 unequal: No Solution
No 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: 55:[9, 15], Operations: ['92/23=4', '19-4=15']
Exploring Operation: 15-9=6, Resulting Numbers: [6]
6,55 unequal: No Solution
Exploring Operation: 9+15=24, Resulting Numbers: [24]
24,55 unequal: No Solution
Exploring Operation: 9*15=135, Resulting Numbers: [135]
135,55 unequal: No Solution
No 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: 55:[19, 5], Operations: ['92/23=4', '9-4=5']
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,55 unequal: No Solution
Exploring Operation: 19+5=24, Resulting Numbers: [24]
24,55 unequal: No Solution
Exploring Operation: 19*5=95, Resulting Numbers: [95]
95,55 unequal: No Solution
No 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: 55:[19, 13], Operations: ['92/23=4', '9+4=13']
Exploring Operation: 19*13=247, Resulting Numbers: [247]
247,55 unequal: No Solution
Exploring Operation: 19-13=6, Resulting Numbers: [6]
6,55 unequal: No Solution
Exploring Operation: 19+13=32, Resulting Numbers: [32]
32,55 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: 55:[19, 9, 69], Operations: ['92-23=69']
Exploring Operation: 19+9=28, Resulting Numbers: [69, 28]
Generated Node #0,0,0: 55:[69, 28] Operation: 19+9=28
Exploring Operation: 69-9=60, Resulting Numbers: [19, 60]
Generated Node #0,0,1: 55:[19, 60] Operation: 69-9=60
Exploring Operation: 69-19=50, Resulting Numbers: [9, 50]
Generated Node #0,0,2: 55:[9, 50] Operation: 69-19=50
Exploring Operation: 19-9=10, Resulting Numbers: [69, 10]
Generated Node #0,0,3: 55:[69, 10] Operation: 19-9=10
Moving to Node #0,0,2
Current State: 55:[9, 50], Operations: ['92-23=69', '69-19=50']
Exploring Operation: 9*50=450, Resulting Numbers: [450]
450,55 unequal: No Solution
Exploring Operation: 50-9=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Exploring Operation: 9+50=59, Resulting Numbers: [59]
59,55 unequal: No Solution
Moving to Node #0,0,1
Current State: 55:[19, 60], Operations: ['92-23=69', '69-9=60']
Exploring Operation: 60-19=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Exploring Operation: 19+60=79, Resulting Numbers: [79]
79,55 unequal: No Solution
Exploring Operation: 19*60=1140, Resulting Numbers: [1140]
1140,55 unequal: No Solution
Moving to Node #0,0,3
Current State: 55:[69, 10], Operations: ['92-23=69', '19-9=10']
Exploring Operation: 69*10=690, Resulting Numbers: [690]
690,55 unequal: No Solution
Exploring Operation: 69-10=59, Resulting Numbers: [59]
59,55 unequal: No Solution
Exploring Operation: 69+10=79, Resulting Numbers: [79]
79,55 unequal: No Solution
Moving to Node #0,0,0
Current State: 55:[69, 28], Operations: ['92-23=69', '19+9=28']
Exploring Operation: 69+28=97, Resulting Numbers: [97]
97,55 unequal: No Solution
Exploring Operation: 69*28=1932, Resulting Numbers: [1932]
1932,55 unequal: No Solution
Exploring Operation: 69-28=41, Resulting Numbers: [41]
41,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 55:[9, 23, 73], Operations: ['92-19=73']
Exploring Operation: 73-9=64, Resulting Numbers: [23, 64]
Generated Node #0,3,0: 55:[23, 64] Operation: 73-9=64
Exploring Operation: 23-9=14, Resulting Numbers: [73, 14]
Generated Node #0,3,1: 55:[73, 14] Operation: 23-9=14
Exploring Operation: 73-23=50, Resulting Numbers: [9, 50]
Generated Node #0,3,2: 55:[9, 50] Operation: 73-23=50
Exploring Operation: 9+23=32, Resulting Numbers: [73, 32]
Generated Node #0,3,3: 55:[73, 32] Operation: 9+23=32
Moving to Node #0,3,2
Current State: 55:[9, 50], Operations: ['92-19=73', '73-23=50']
Exploring Operation: 9+50=59, Resulting Numbers: [59]
59,55 unequal: No Solution
Exploring Operation: 50-9=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Exploring Operation: 9*50=450, Resulting Numbers: [450]
450,55 unequal: No Solution
Moving to Node #0,3,1
Current State: 55:[73, 14], Operations: ['92-19=73', '23-9=14']
Exploring Operation: 73-14=59, Resulting Numbers: [59]
59,55 unequal: No Solution
Exploring Operation: 73+14=87, Resulting Numbers: [87]
87,55 unequal: No Solution
Exploring Operation: 73*14=1022, Resulting Numbers: [1022]
1022,55 unequal: No Solution
Moving to Node #0,3,0
Current State: 55:[23, 64], Operations: ['92-19=73', '73-9=64']
Exploring Operation: 23+64=87, Resulting Numbers: [87]
87,55 unequal: No Solution
Exploring Operation: 64-23=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Exploring Operation: 23*64=1472, Resulting Numbers: [1472]
1472,55 unequal: No Solution
Moving to Node #0,3,3
Current State: 55:[73, 32], Operations: ['92-19=73', '9+23=32']
Exploring Operation: 73-32=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Exploring Operation: 73*32=2336, Resulting Numbers: [2336]
2336,55 unequal: No Solution
Exploring Operation: 73+32=105, Resulting Numbers: [105]
105,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 55:[9, 92, 4], Operations: ['23-19=4']
Exploring Operation: 92-4=88, Resulting Numbers: [9, 88]
Generated Node #0,1,0: 55:[9, 88] Operation: 92-4=88
Exploring Operation: 92/4=23, Resulting Numbers: [9, 23]
Generated Node #0,1,1: 55:[9, 23] Operation: 92/4=23
Exploring Operation: 9-4=5, Resulting Numbers: [92, 5]
Generated Node #0,1,2: 55:[92, 5] Operation: 9-4=5
Exploring Operation: 92-9=83, Resulting Numbers: [4, 83]
Generated Node #0,1,3: 55:[4, 83] Operation: 92-9=83
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 55:[9, 23], Operations: ['23-19=4', '92/4=23']
Exploring Operation: 9*23=207, Resulting Numbers: [207]
207,55 unequal: No Solution
Exploring Operation: 9+23=32, Resulting Numbers: [32]
32,55 unequal: No Solution
Exploring Operation: 23-9=14, Resulting Numbers: [14]
14,55 unequal: No Solution
No 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: 55:[4, 83], Operations: ['23-19=4', '92-9=83']
Exploring Operation: 83-4=79, Resulting Numbers: [79]
79,55 unequal: No Solution
Exploring Operation: 4*83=332, Resulting Numbers: [332]
332,55 unequal: No Solution
Exploring Operation: 4+83=87, Resulting Numbers: [87]
87,55 unequal: No Solution
No 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: 55:[9, 88], Operations: ['23-19=4', '92-4=88']
Exploring Operation: 88-9=79, Resulting Numbers: [79]
79,55 unequal: No Solution
Exploring Operation: 9+88=97, Resulting Numbers: [97]
97,55 unequal: No Solution
Exploring Operation: 9*88=792, Resulting Numbers: [792]
792,55 unequal: No Solution
No 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: 55:[92, 5], Operations: ['23-19=4', '9-4=5']
Exploring Operation: 92+5=97, Resulting Numbers: [97]
97,55 unequal: No Solution
Exploring Operation: 92-5=87, Resulting Numbers: [87]
87,55 unequal: No Solution
Exploring Operation: 92*5=460, Resulting Numbers: [460]
460,55 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
|
[
94,
89,
88,
59
] | 35 |
[
"94-59=35",
"89-88=1",
"35*1=35"
] |
Current State: 35:[94, 89, 88, 59], Operations: []
Exploring Operation: 94-59=35, Resulting Numbers: [89, 88, 35]
Generated Node #2: [89, 88, 35] from Operation: 94-59=35
Current State: 35:[89, 88, 35], Operations: ['94-59=35']
Exploring Operation: 89-88=1, Resulting Numbers: [35, 1]
Generated Node #3: [35, 1] from Operation: 89-88=1
Current State: 35:[35, 1], Operations: ['94-59=35', '89-88=1']
Exploring Operation: 35*1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
Current State: 35:[94, 89, 88, 59], Operations: []
Exploring Operation: 94-88=6, Resulting Numbers: [89, 59, 6]
Generated Node #0,0: 35:[89, 59, 6] Operation: 94-88=6
Exploring Operation: 94-89=5, Resulting Numbers: [88, 59, 5]
Generated Node #0,1: 35:[88, 59, 5] Operation: 94-89=5
Moving to Node #0,1
Current State: 35:[88, 59, 5], Operations: ['94-89=5']
Exploring Operation: 88-59=29, Resulting Numbers: [5, 29]
Generated Node #0,1,0: 35:[5, 29] Operation: 88-59=29
Exploring Operation: 88-5=83, Resulting Numbers: [59, 83]
Generated Node #0,1,1: 35:[59, 83] Operation: 88-5=83
Moving to Node #0,0
Current State: 35:[89, 59, 6], Operations: ['94-88=6']
Exploring Operation: 89-6=83, Resulting Numbers: [59, 83]
Generated Node #0,0,0: 35:[59, 83] Operation: 89-6=83
Exploring Operation: 89-59=30, Resulting Numbers: [6, 30]
Generated Node #0,0,1: 35:[6, 30] Operation: 89-59=30
Moving to Node #0,1,0
Current State: 35:[5, 29], Operations: ['94-89=5', '88-59=29']
Exploring Operation: 29-5=24, Resulting Numbers: [24]
24,35 unequal: No Solution
Exploring Operation: 5+29=34, Resulting Numbers: [34]
34,35 unequal: No Solution
Moving to Node #0,0,1
Current State: 35:[6, 30], Operations: ['94-88=6', '89-59=30']
Exploring Operation: 6+30=36, Resulting Numbers: [36]
36,35 unequal: No Solution
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,35 unequal: No Solution
Moving to Node #0,1,1
Current State: 35:[59, 83], Operations: ['94-89=5', '88-5=83']
Exploring Operation: 83-59=24, Resulting Numbers: [24]
24,35 unequal: No Solution
Exploring Operation: 59+83=142, Resulting Numbers: [142]
142,35 unequal: No Solution
Moving to Node #0,0,0
Current State: 35:[59, 83], Operations: ['94-88=6', '89-6=83']
Exploring Operation: 59+83=142, Resulting Numbers: [142]
142,35 unequal: No Solution
Exploring Operation: 83-59=24, Resulting Numbers: [24]
24,35 unequal: No Solution
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
80,
18,
77,
58
] | 80 |
[
"77-18=59",
"59-58=1",
"80*1=80"
] |
Current State: 80:[80, 18, 77, 58], Operations: []
Exploring Operation: 77-18=59, Resulting Numbers: [80, 58, 59]
Generated Node #2: [80, 58, 59] from Operation: 77-18=59
Current State: 80:[80, 58, 59], Operations: ['77-18=59']
Exploring Operation: 59-58=1, Resulting Numbers: [80, 1]
Generated Node #3: [80, 1] from Operation: 59-58=1
Current State: 80:[80, 1], Operations: ['77-18=59', '59-58=1']
Exploring Operation: 80*1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
Current State: 80:[80, 18, 77, 58], Operations: []
Exploring Operation: 18+58=76, Resulting Numbers: [80, 77, 76]
Generated Node #0,0: 80:[80, 77, 76] Operation: 18+58=76
Exploring Operation: 58-18=40, Resulting Numbers: [80, 77, 40]
Generated Node #0,1: 80:[80, 77, 40] Operation: 58-18=40
Exploring Operation: 77-58=19, Resulting Numbers: [80, 18, 19]
Generated Node #0,2: 80:[80, 18, 19] Operation: 77-58=19
Exploring Operation: 80-58=22, Resulting Numbers: [18, 77, 22]
Generated Node #0,3: 80:[18, 77, 22] Operation: 80-58=22
Moving to Node #0,1
Current State: 80:[80, 77, 40], Operations: ['58-18=40']
Exploring Operation: 77-40=37, Resulting Numbers: [80, 37]
Generated Node #0,1,0: 80:[80, 37] Operation: 77-40=37
Exploring Operation: 80-40=40, Resulting Numbers: [77, 40]
Generated Node #0,1,1: 80:[77, 40] Operation: 80-40=40
Exploring Operation: 80/40=2, Resulting Numbers: [77, 2]
Generated Node #0,1,2: 80:[77, 2] Operation: 80/40=2
Exploring Operation: 80-77=3, Resulting Numbers: [40, 3]
Generated Node #0,1,3: 80:[40, 3] Operation: 80-77=3
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 80:[40, 3], Operations: ['58-18=40', '80-77=3']
Exploring Operation: 40*3=120, Resulting Numbers: [120]
120,80 unequal: No Solution
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,80 unequal: No Solution
Exploring Operation: 40+3=43, Resulting Numbers: [43]
43,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 80:[80, 37], Operations: ['58-18=40', '77-40=37']
Exploring Operation: 80+37=117, Resulting Numbers: [117]
117,80 unequal: No Solution
Exploring Operation: 80-37=43, Resulting Numbers: [43]
43,80 unequal: No Solution
Exploring Operation: 80*37=2960, Resulting Numbers: [2960]
2960,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 80:[77, 40], Operations: ['58-18=40', '80-40=40']
Exploring Operation: 77-40=37, Resulting Numbers: [37]
37,80 unequal: No Solution
Exploring Operation: 77*40=3080, Resulting Numbers: [3080]
3080,80 unequal: No Solution
Exploring Operation: 77+40=117, Resulting Numbers: [117]
117,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 80:[77, 2], Operations: ['58-18=40', '80/40=2']
Exploring Operation: 77*2=154, Resulting Numbers: [154]
154,80 unequal: No Solution
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,80 unequal: No Solution
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,80 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: 80:[80, 18, 19], Operations: ['77-58=19']
Exploring Operation: 19-18=1, Resulting Numbers: [80, 1]
Generated Node #0,2,0: 80:[80, 1] Operation: 19-18=1
Exploring Operation: 18+19=37, Resulting Numbers: [80, 37]
Generated Node #0,2,1: 80:[80, 37] Operation: 18+19=37
Exploring Operation: 80+18=98, Resulting Numbers: [19, 98]
Generated Node #0,2,2: 80:[19, 98] Operation: 80+18=98
Exploring Operation: 80-18=62, Resulting Numbers: [19, 62]
Generated Node #0,2,3: 80:[19, 62] Operation: 80-18=62
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 80:[80, 1], Operations: ['77-58=19', '19-18=1']
Exploring Operation: 80*1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[80, 18, 77, 58], Operations: []
Exploring Operation: 77-58=19, Resulting Numbers: [80, 18, 19]
Generated Node #0,2: 80:[80, 18, 19] Operation: 77-58=19
Moving to Node #0,2
Current State: 80:[80, 18, 19], Operations: ['77-58=19']
Exploring Operation: 19-18=1, Resulting Numbers: [80, 1]
Generated Node #0,2,0: 80:[80, 1] Operation: 19-18=1
Moving to Node #0,2,0
Current State: 80:[80, 1], Operations: ['77-58=19', '19-18=1']
Exploring Operation: 80*1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826 |
hs_4
|
sum_heuristic
|
[
42,
42,
35,
5
] | 84 |
[
"42-35=7",
"7-5=2",
"42*2=84"
] |
Current State: 84:[42, 42, 35, 5], Operations: []
Exploring Operation: 42-35=7, Resulting Numbers: [5, 7]
Generated Node #2: [5, 7] from Operation: 42-35=7
Current State: 84:[5, 7], Operations: ['42-35=7']
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,84 equal: Goal Reached
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
Current State: 84:[42, 42, 35, 5], Operations: []
Exploring Operation: 42-35=7, Resulting Numbers: [42, 5, 7]
Generated Node #0,0: 84:[42, 5, 7] Operation: 42-35=7
Exploring Operation: 42-35=7, Resulting Numbers: [42, 5, 7]
Generated Node #0,1: 84:[42, 5, 7] Operation: 42-35=7
Exploring Operation: 35+5=40, Resulting Numbers: [42, 42, 40]
Generated Node #0,2: 84:[42, 42, 40] Operation: 35+5=40
Exploring Operation: 35/5=7, Resulting Numbers: [42, 42, 7]
Generated Node #0,3: 84:[42, 42, 7] Operation: 35/5=7
Start Sub Search at level 1: Moving to Node #0,3
Current State: 84:[42, 42, 7], Operations: ['35/5=7']
Exploring Operation: 42/7=6, Resulting Numbers: [42, 6]
Generated Node #0,3,0: 84:[42, 6] Operation: 42/7=6
Exploring Operation: 42+42=84, Resulting Numbers: [7, 84]
Generated Node #0,3,1: 84:[7, 84] Operation: 42+42=84
Exploring Operation: 42/42=1, Resulting Numbers: [7, 1]
Generated Node #0,3,2: 84:[7, 1] Operation: 42/42=1
Exploring Operation: 42/7=6, Resulting Numbers: [42, 6]
Generated Node #0,3,3: 84:[42, 6] Operation: 42/7=6
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 84:[42, 6], Operations: ['35/5=7', '42/7=6']
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,84 unequal: No Solution
Exploring Operation: 42/6=7, Resulting Numbers: [7]
7,84 unequal: No Solution
Exploring Operation: 42*6=252, Resulting Numbers: [252]
252,84 unequal: No Solution
Exploring Operation: 42+6=48, Resulting Numbers: [48]
48,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 84:[7, 84], Operations: ['35/5=7', '42+42=84']
Exploring Operation: 84-7=77, Resulting Numbers: [77]
77,84 unequal: No Solution
Exploring Operation: 7*84=588, Resulting Numbers: [588]
588,84 unequal: No Solution
Exploring Operation: 84/7=12, Resulting Numbers: [12]
12,84 unequal: No Solution
Exploring Operation: 7+84=91, Resulting Numbers: [91]
91,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 84:[42, 6], Operations: ['35/5=7', '42/7=6']
Exploring Operation: 42+6=48, Resulting Numbers: [48]
48,84 unequal: No Solution
Exploring Operation: 42*6=252, Resulting Numbers: [252]
252,84 unequal: No Solution
Exploring Operation: 42/6=7, Resulting Numbers: [7]
7,84 unequal: No Solution
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 84:[7, 1], Operations: ['35/5=7', '42/42=1']
Exploring Operation: 7+1=8, Resulting Numbers: [8]
8,84 unequal: No Solution
Exploring Operation: 7*1=7, Resulting Numbers: [7]
7,84 unequal: No Solution
Exploring Operation: 7/1=7, Resulting Numbers: [7]
7,84 unequal: No Solution
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[42, 5, 7], Operations: ['42-35=7']
Exploring Operation: 7-5=2, Resulting Numbers: [42, 2]
Generated Node #0,0,0: 84:[42, 2] Operation: 7-5=2
Exploring Operation: 5+7=12, Resulting Numbers: [42, 12]
Generated Node #0,0,1: 84:[42, 12] Operation: 5+7=12
Exploring Operation: 42+5=47, Resulting Numbers: [7, 47]
Generated Node #0,0,2: 84:[7, 47] Operation: 42+5=47
Exploring Operation: 42/7=6, Resulting Numbers: [5, 6]
Generated Node #0,0,3: 84:[5, 6] Operation: 42/7=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 84:[42, 2], Operations: ['42-35=7', '7-5=2']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,84 unequal: No Solution
Exploring Operation: 42+2=44, Resulting Numbers: [44]
44,84 unequal: No Solution
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[42, 42, 35, 5], Operations: []
Exploring Operation: 42-35=7, Resulting Numbers: [42, 5, 7]
Generated Node #0,0: 84:[42, 5, 7] Operation: 42-35=7
Moving to Node #0,0
Current State: 84:[42, 5, 7], Operations: ['42-35=7']
Exploring Operation: 7-5=2, Resulting Numbers: [42, 2]
Generated Node #0,0,0: 84:[42, 2] Operation: 7-5=2
Moving to Node #0,0,0
Current State: 84:[42, 2], Operations: ['42-35=7', '7-5=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.969618 |
hs_4
|
sum_heuristic
|
[
26,
79,
50,
55
] | 51 |
[
"55-50=5",
"26*5=130",
"130-79=51"
] |
Current State: 51:[26, 79, 50, 55], Operations: []
Exploring Operation: 55-50=5, Resulting Numbers: [26, 79, 5]
Generated Node #2: [26, 79, 5] from Operation: 55-50=5
Current State: 51:[26, 79, 5], Operations: ['55-50=5']
Exploring Operation: 26*5=130, Resulting Numbers: [79, 130]
Generated Node #3: [79, 130] from Operation: 26*5=130
Current State: 51:[79, 130], Operations: ['55-50=5', '26*5=130']
Exploring Operation: 130-79=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
Current State: 51:[26, 79, 50, 55], Operations: []
Exploring Operation: 79-26=53, Resulting Numbers: [50, 55, 53]
Generated Node #0,0: 51:[50, 55, 53] Operation: 79-26=53
Exploring Operation: 50-26=24, Resulting Numbers: [79, 55, 24]
Generated Node #0,1: 51:[79, 55, 24] Operation: 50-26=24
Exploring Operation: 79-50=29, Resulting Numbers: [26, 55, 29]
Generated Node #0,2: 51:[26, 55, 29] Operation: 79-50=29
Exploring Operation: 79-55=24, Resulting Numbers: [26, 50, 24]
Generated Node #0,3: 51:[26, 50, 24] Operation: 79-55=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[50, 55, 53], Operations: ['79-26=53']
Exploring Operation: 55-50=5, Resulting Numbers: [53, 5]
Generated Node #0,0,0: 51:[53, 5] Operation: 55-50=5
Exploring Operation: 53-50=3, Resulting Numbers: [55, 3]
Generated Node #0,0,1: 51:[55, 3] Operation: 53-50=3
Exploring Operation: 55-53=2, Resulting Numbers: [50, 2]
Generated Node #0,0,2: 51:[50, 2] Operation: 55-53=2
Exploring Operation: 50+55=105, Resulting Numbers: [53, 105]
Generated Node #0,0,3: 51:[53, 105] Operation: 50+55=105
Moving to Node #0,0,2
Current State: 51:[50, 2], Operations: ['79-26=53', '55-53=2']
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,51 unequal: No Solution
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,51 unequal: No Solution
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,51 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,51 unequal: No Solution
Moving to Node #0,0,1
Current State: 51:[55, 3], Operations: ['79-26=53', '53-50=3']
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,51 unequal: No Solution
Exploring Operation: 55*3=165, Resulting Numbers: [165]
165,51 unequal: No Solution
Exploring Operation: 55+3=58, Resulting Numbers: [58]
58,51 unequal: No Solution
Moving to Node #0,0,0
Current State: 51:[53, 5], Operations: ['79-26=53', '55-50=5']
Exploring Operation: 53*5=265, Resulting Numbers: [265]
265,51 unequal: No Solution
Exploring Operation: 53-5=48, Resulting Numbers: [48]
48,51 unequal: No Solution
Exploring Operation: 53+5=58, Resulting Numbers: [58]
58,51 unequal: No Solution
Moving to Node #0,0,3
Current State: 51:[53, 105], Operations: ['79-26=53', '50+55=105']
Exploring Operation: 53*105=5565, Resulting Numbers: [5565]
5565,51 unequal: No Solution
Exploring Operation: 53+105=158, Resulting Numbers: [158]
158,51 unequal: No Solution
Exploring Operation: 105-53=52, Resulting Numbers: [52]
52,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 51:[26, 50, 24], Operations: ['79-55=24']
Exploring Operation: 50-24=26, Resulting Numbers: [26, 26]
Generated Node #0,3,0: 51:[26, 26] Operation: 50-24=26
Exploring Operation: 26-24=2, Resulting Numbers: [50, 2]
Generated Node #0,3,1: 51:[50, 2] Operation: 26-24=2
Exploring Operation: 50-26=24, Resulting Numbers: [24, 24]
Generated Node #0,3,2: 51:[24, 24] Operation: 50-26=24
Exploring Operation: 26+24=50, Resulting Numbers: [50, 50]
Generated Node #0,3,3: 51:[50, 50] Operation: 26+24=50
Moving to Node #0,3,1
Current State: 51:[50, 2], Operations: ['79-55=24', '26-24=2']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,51 unequal: No Solution
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,51 unequal: No Solution
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,51 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,51 unequal: No Solution
Moving to Node #0,3,3
Current State: 51:[50, 50], Operations: ['79-55=24', '26+24=50']
Exploring Operation: 50*50=2500, Resulting Numbers: [2500]
2500,51 unequal: No Solution
Exploring Operation: 50/50=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 50-50=0, Resulting Numbers: [0]
0,51 unequal: No Solution
Exploring Operation: 50+50=100, Resulting Numbers: [100]
100,51 unequal: No Solution
Moving to Node #0,3,2
Current State: 51:[24, 24], Operations: ['79-55=24', '50-26=24']
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,51 unequal: No Solution
Exploring Operation: 24*24=576, Resulting Numbers: [576]
576,51 unequal: No Solution
Exploring Operation: 24/24=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 24-24=0, Resulting Numbers: [0]
0,51 unequal: No Solution
Moving to Node #0,3,0
Current State: 51:[26, 26], Operations: ['79-55=24', '50-24=26']
Exploring Operation: 26+26=52, Resulting Numbers: [52]
52,51 unequal: No Solution
Exploring Operation: 26-26=0, Resulting Numbers: [0]
0,51 unequal: No Solution
Exploring Operation: 26*26=676, Resulting Numbers: [676]
676,51 unequal: No Solution
Exploring Operation: 26/26=1, Resulting Numbers: [1]
1,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[26, 55, 29], Operations: ['79-50=29']
Exploring Operation: 55-26=29, Resulting Numbers: [29, 29]
Generated Node #0,2,0: 51:[29, 29] Operation: 55-26=29
Exploring Operation: 26+29=55, Resulting Numbers: [55, 55]
Generated Node #0,2,1: 51:[55, 55] Operation: 26+29=55
Exploring Operation: 55-29=26, Resulting Numbers: [26, 26]
Generated Node #0,2,2: 51:[26, 26] Operation: 55-29=26
Exploring Operation: 29-26=3, Resulting Numbers: [55, 3]
Generated Node #0,2,3: 51:[55, 3] Operation: 29-26=3
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 51:[55, 3], Operations: ['79-50=29', '29-26=3']
Exploring Operation: 55+3=58, Resulting Numbers: [58]
58,51 unequal: No Solution
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,51 unequal: No Solution
Exploring Operation: 55*3=165, Resulting Numbers: [165]
165,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 51:[55, 55], Operations: ['79-50=29', '26+29=55']
Exploring Operation: 55/55=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 55*55=3025, Resulting Numbers: [3025]
3025,51 unequal: No Solution
Exploring Operation: 55+55=110, Resulting Numbers: [110]
110,51 unequal: No Solution
Exploring Operation: 55-55=0, Resulting Numbers: [0]
0,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 51:[26, 26], Operations: ['79-50=29', '55-29=26']
Exploring Operation: 26-26=0, Resulting Numbers: [0]
0,51 unequal: No Solution
Exploring Operation: 26+26=52, Resulting Numbers: [52]
52,51 unequal: No Solution
Exploring Operation: 26/26=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 26*26=676, Resulting Numbers: [676]
676,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 51:[29, 29], Operations: ['79-50=29', '55-26=29']
Exploring Operation: 29+29=58, Resulting Numbers: [58]
58,51 unequal: No Solution
Exploring Operation: 29-29=0, Resulting Numbers: [0]
0,51 unequal: No Solution
Exploring Operation: 29/29=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 29*29=841, Resulting Numbers: [841]
841,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[79, 55, 24], Operations: ['50-26=24']
Exploring Operation: 79-55=24, Resulting Numbers: [24, 24]
Generated Node #0,1,0: 51:[24, 24] Operation: 79-55=24
Exploring Operation: 55-24=31, Resulting Numbers: [79, 31]
Generated Node #0,1,1: 51:[79, 31] Operation: 55-24=31
Exploring Operation: 79+24=103, Resulting Numbers: [55, 103]
Generated Node #0,1,2: 51:[55, 103] Operation: 79+24=103
Exploring Operation: 79-24=55, Resulting Numbers: [55, 55]
Generated Node #0,1,3: 51:[55, 55] Operation: 79-24=55
Moving to Node #0,1,3
Current State: 51:[55, 55], Operations: ['50-26=24', '79-24=55']
Exploring Operation: 55/55=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 55+55=110, Resulting Numbers: [110]
110,51 unequal: No Solution
Exploring Operation: 55-55=0, Resulting Numbers: [0]
0,51 unequal: No Solution
Exploring Operation: 55*55=3025, Resulting Numbers: [3025]
3025,51 unequal: No Solution
Moving to Node #0,1,0
Current State: 51:[24, 24], Operations: ['50-26=24', '79-55=24']
Exploring Operation: 24-24=0, Resulting Numbers: [0]
0,51 unequal: No Solution
Exploring Operation: 24/24=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 24*24=576, Resulting Numbers: [576]
576,51 unequal: No Solution
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,51 unequal: No Solution
Moving to Node #0,1,1
Current State: 51:[79, 31], Operations: ['50-26=24', '55-24=31']
Exploring Operation: 79*31=2449, Resulting Numbers: [2449]
2449,51 unequal: No Solution
Exploring Operation: 79+31=110, Resulting Numbers: [110]
110,51 unequal: No Solution
Exploring Operation: 79-31=48, Resulting Numbers: [48]
48,51 unequal: No Solution
Moving to Node #0,1,2
Current State: 51:[55, 103], Operations: ['50-26=24', '79+24=103']
Exploring Operation: 55*103=5665, Resulting Numbers: [5665]
5665,51 unequal: No Solution
Exploring Operation: 55+103=158, Resulting Numbers: [158]
158,51 unequal: No Solution
Exploring Operation: 103-55=48, Resulting Numbers: [48]
48,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
55,
88,
11,
9
] | 22 |
[
"55+88=143",
"143/11=13",
"9+13=22"
] |
Current State: 22:[55, 88, 11, 9], Operations: []
Exploring Operation: 55+88=143, Resulting Numbers: [11, 9, 143]
Generated Node #2: [11, 9, 143] from Operation: 55+88=143
Current State: 22:[11, 9, 143], Operations: ['55+88=143']
Exploring Operation: 143/11=13, Resulting Numbers: [9, 13]
Generated Node #3: [9, 13] from Operation: 143/11=13
Current State: 22:[9, 13], Operations: ['55+88=143', '143/11=13']
Exploring Operation: 9+13=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
Current State: 22:[55, 88, 11, 9], Operations: []
Exploring Operation: 88/11=8, Resulting Numbers: [55, 9, 8]
Generated Node #0,0: 22:[55, 9, 8] Operation: 88/11=8
Exploring Operation: 55/11=5, Resulting Numbers: [88, 9, 5]
Generated Node #0,1: 22:[88, 9, 5] Operation: 55/11=5
Exploring Operation: 88-55=33, Resulting Numbers: [11, 9, 33]
Generated Node #0,2: 22:[11, 9, 33] Operation: 88-55=33
Start Sub Search at level 1: Moving to Node #0,2
Current State: 22:[11, 9, 33], Operations: ['88-55=33']
Exploring Operation: 33-9=24, Resulting Numbers: [11, 24]
Generated Node #0,2,0: 22:[11, 24] Operation: 33-9=24
Exploring Operation: 33-11=22, Resulting Numbers: [9, 22]
Generated Node #0,2,1: 22:[9, 22] Operation: 33-11=22
Exploring Operation: 33/11=3, Resulting Numbers: [9, 3]
Generated Node #0,2,2: 22:[9, 3] Operation: 33/11=3
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 22:[11, 24], Operations: ['88-55=33', '33-9=24']
Exploring Operation: 11+24=35, Resulting Numbers: [35]
35,22 unequal: No Solution
Exploring Operation: 11*24=264, Resulting Numbers: [264]
264,22 unequal: No Solution
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 22:[9, 22], Operations: ['88-55=33', '33-11=22']
Exploring Operation: 9*22=198, Resulting Numbers: [198]
198,22 unequal: No Solution
Exploring Operation: 9+22=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 22:[9, 3], Operations: ['88-55=33', '33/11=3']
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,22 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,22 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[55, 9, 8], Operations: ['88/11=8']
Exploring Operation: 55-8=47, Resulting Numbers: [9, 47]
Generated Node #0,0,0: 22:[9, 47] Operation: 55-8=47
Exploring Operation: 9-8=1, Resulting Numbers: [55, 1]
Generated Node #0,0,1: 22:[55, 1] Operation: 9-8=1
Exploring Operation: 55-9=46, Resulting Numbers: [8, 46]
Generated Node #0,0,2: 22:[8, 46] Operation: 55-9=46
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 22:[9, 47], Operations: ['88/11=8', '55-8=47']
Exploring Operation: 9+47=56, Resulting Numbers: [56]
56,22 unequal: No Solution
Exploring Operation: 9*47=423, Resulting Numbers: [423]
423,22 unequal: No Solution
Exploring Operation: 47-9=38, Resulting Numbers: [38]
38,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 22:[8, 46], Operations: ['88/11=8', '55-9=46']
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,22 unequal: No Solution
Exploring Operation: 8*46=368, Resulting Numbers: [368]
368,22 unequal: No Solution
Exploring Operation: 8+46=54, Resulting Numbers: [54]
54,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 22:[55, 1], Operations: ['88/11=8', '9-8=1']
Exploring Operation: 55*1=55, Resulting Numbers: [55]
55,22 unequal: No Solution
Exploring Operation: 55-1=54, Resulting Numbers: [54]
54,22 unequal: No Solution
Exploring Operation: 55/1=55, Resulting Numbers: [55]
55,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 22:[88, 9, 5], Operations: ['55/11=5']
Exploring Operation: 88-5=83, Resulting Numbers: [9, 83]
Generated Node #0,1,0: 22:[9, 83] Operation: 88-5=83
Exploring Operation: 88-9=79, Resulting Numbers: [5, 79]
Generated Node #0,1,1: 22:[5, 79] Operation: 88-9=79
Exploring Operation: 9-5=4, Resulting Numbers: [88, 4]
Generated Node #0,1,2: 22:[88, 4] Operation: 9-5=4
Moving to Node #0,1,1
Current State: 22:[5, 79], Operations: ['55/11=5', '88-9=79']
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,22 unequal: No Solution
Exploring Operation: 5*79=395, Resulting Numbers: [395]
395,22 unequal: No Solution
Exploring Operation: 5+79=84, Resulting Numbers: [84]
84,22 unequal: No Solution
Moving to Node #0,1,0
Current State: 22:[9, 83], Operations: ['55/11=5', '88-5=83']
Exploring Operation: 9+83=92, Resulting Numbers: [92]
92,22 unequal: No Solution
Exploring Operation: 9*83=747, Resulting Numbers: [747]
747,22 unequal: No Solution
Exploring Operation: 83-9=74, Resulting Numbers: [74]
74,22 unequal: No Solution
Moving to Node #0,1,2
Current State: 22:[88, 4], Operations: ['55/11=5', '9-5=4']
Exploring Operation: 88-4=84, Resulting Numbers: [84]
84,22 unequal: No Solution
Exploring Operation: 88/4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[55, 88, 11, 9], Operations: []
Exploring Operation: 55/11=5, Resulting Numbers: [88, 9, 5]
Generated Node #0,1: 22:[88, 9, 5] Operation: 55/11=5
Moving to Node #0,1
Current State: 22:[88, 9, 5], Operations: ['55/11=5']
Exploring Operation: 9-5=4, Resulting Numbers: [88, 4]
Generated Node #0,1,2: 22:[88, 4] Operation: 9-5=4
Moving to Node #0,1,2
Current State: 22:[88, 4], Operations: ['55/11=5', '9-5=4']
Exploring Operation: 88/4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 |
hs_3
|
mult_heuristic
|
[
21,
46,
23,
9
] | 99 |
[
"21+46=67",
"23+9=32",
"67+32=99"
] |
Current State: 99:[21, 46, 23, 9], Operations: []
Exploring Operation: 21+46=67, Resulting Numbers: [23, 9, 67]
Generated Node #2: [23, 9, 67] from Operation: 21+46=67
Current State: 99:[23, 9, 67], Operations: ['21+46=67']
Exploring Operation: 23+9=32, Resulting Numbers: [67, 32]
Generated Node #3: [67, 32] from Operation: 23+9=32
Current State: 99:[67, 32], Operations: ['21+46=67', '23+9=32']
Exploring Operation: 67+32=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
Current State: 99:[21, 46, 23, 9], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [46, 9, 2]
Generated Node #0,0: 99:[46, 9, 2] Operation: 23-21=2
Exploring Operation: 46/23=2, Resulting Numbers: [21, 9, 2]
Generated Node #0,1: 99:[21, 9, 2] Operation: 46/23=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 99:[21, 9, 2], Operations: ['46/23=2']
Exploring Operation: 21-9=12, Resulting Numbers: [2, 12]
Generated Node #0,1,0: 99:[2, 12] Operation: 21-9=12
Exploring Operation: 21+9=30, Resulting Numbers: [2, 30]
Generated Node #0,1,1: 99:[2, 30] Operation: 21+9=30
Moving to Node #0,1,0
Current State: 99:[2, 12], Operations: ['46/23=2', '21-9=12']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,99 unequal: No Solution
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,99 unequal: No Solution
Moving to Node #0,1,1
Current State: 99:[2, 30], Operations: ['46/23=2', '21+9=30']
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,99 unequal: No Solution
Exploring Operation: 2+30=32, Resulting Numbers: [32]
32,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[46, 9, 2], Operations: ['23-21=2']
Exploring Operation: 46-9=37, Resulting Numbers: [2, 37]
Generated Node #0,0,0: 99:[2, 37] Operation: 46-9=37
Exploring Operation: 46*2=92, Resulting Numbers: [9, 92]
Generated Node #0,0,1: 99:[9, 92] Operation: 46*2=92
Moving to Node #0,0,0
Current State: 99:[2, 37], Operations: ['23-21=2', '46-9=37']
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,99 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,99 unequal: No Solution
Moving to Node #0,0,1
Current State: 99:[9, 92], Operations: ['23-21=2', '46*2=92']
Exploring Operation: 9+92=101, Resulting Numbers: [101]
101,99 unequal: No Solution
Exploring Operation: 92-9=83, Resulting Numbers: [83]
83,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
99,
9,
90,
34
] | 52 |
[
"99+9=108",
"90-34=56",
"108-56=52"
] |
Current State: 52:[99, 9, 90, 34], Operations: []
Exploring Operation: 99+9=108, Resulting Numbers: [90, 34, 108]
Generated Node #2: [90, 34, 108] from Operation: 99+9=108
Current State: 52:[90, 34, 108], Operations: ['99+9=108']
Exploring Operation: 90-34=56, Resulting Numbers: [108, 56]
Generated Node #3: [108, 56] from Operation: 90-34=56
Current State: 52:[108, 56], Operations: ['99+9=108', '90-34=56']
Exploring Operation: 108-56=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
Current State: 52:[99, 9, 90, 34], Operations: []
Exploring Operation: 99/9=11, Resulting Numbers: [90, 34, 11]
Generated Node #0,0: 52:[90, 34, 11] Operation: 99/9=11
Exploring Operation: 99-90=9, Resulting Numbers: [9, 34, 9]
Generated Node #0,1: 52:[9, 34, 9] Operation: 99-90=9
Start Sub Search at level 1: Moving to Node #0,1
Current State: 52:[9, 34, 9], Operations: ['99-90=9']
Exploring Operation: 34-9=25, Resulting Numbers: [9, 25]
Generated Node #0,1,0: 52:[9, 25] Operation: 34-9=25
Exploring Operation: 34-9=25, Resulting Numbers: [9, 25]
Generated Node #0,1,1: 52:[9, 25] Operation: 34-9=25
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 52:[9, 25], Operations: ['99-90=9', '34-9=25']
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,52 unequal: No Solution
Exploring Operation: 9+25=34, Resulting Numbers: [34]
34,52 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:[9, 25], Operations: ['99-90=9', '34-9=25']
Exploring Operation: 9+25=34, Resulting Numbers: [34]
34,52 unequal: No Solution
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,52 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:[90, 34, 11], Operations: ['99/9=11']
Exploring Operation: 90-34=56, Resulting Numbers: [11, 56]
Generated Node #0,0,0: 52:[11, 56] Operation: 90-34=56
Exploring Operation: 90-11=79, Resulting Numbers: [34, 79]
Generated Node #0,0,1: 52:[34, 79] Operation: 90-11=79
Moving to Node #0,0,0
Current State: 52:[11, 56], Operations: ['99/9=11', '90-34=56']
Exploring Operation: 11+56=67, Resulting Numbers: [67]
67,52 unequal: No Solution
Exploring Operation: 56-11=45, Resulting Numbers: [45]
45,52 unequal: No Solution
Moving to Node #0,0,1
Current State: 52:[34, 79], Operations: ['99/9=11', '90-11=79']
Exploring Operation: 79-34=45, Resulting Numbers: [45]
45,52 unequal: No Solution
Exploring Operation: 34+79=113, Resulting Numbers: [113]
113,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
28,
29,
18,
6
] | 19 |
[
"28+29=57",
"18/6=3",
"57/3=19"
] |
Current State: 19:[28, 29, 18, 6], Operations: []
Exploring Operation: 28+29=57, Resulting Numbers: [18, 6, 57]
Generated Node #2: [18, 6, 57] from Operation: 28+29=57
Current State: 19:[18, 6, 57], Operations: ['28+29=57']
Exploring Operation: 18/6=3, Resulting Numbers: [57, 3]
Generated Node #3: [57, 3] from Operation: 18/6=3
Current State: 19:[57, 3], Operations: ['28+29=57', '18/6=3']
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
Current State: 19:[28, 29, 18, 6], Operations: []
Exploring Operation: 29-6=23, Resulting Numbers: [28, 18, 23]
Generated Node #0,0: 19:[28, 18, 23] Operation: 29-6=23
Exploring Operation: 28-6=22, Resulting Numbers: [29, 18, 22]
Generated Node #0,1: 19:[29, 18, 22] Operation: 28-6=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[28, 18, 23], Operations: ['29-6=23']
Exploring Operation: 28-18=10, Resulting Numbers: [23, 10]
Generated Node #0,0,0: 19:[23, 10] Operation: 28-18=10
Exploring Operation: 28-23=5, Resulting Numbers: [18, 5]
Generated Node #0,0,1: 19:[18, 5] Operation: 28-23=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 19:[23, 10], Operations: ['29-6=23', '28-18=10']
Exploring Operation: 23+10=33, Resulting Numbers: [33]
33,19 unequal: No Solution
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 19:[18, 5], Operations: ['29-6=23', '28-23=5']
Exploring Operation: 18+5=23, Resulting Numbers: [23]
23,19 unequal: No Solution
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No 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: 19:[29, 18, 22], Operations: ['28-6=22']
Exploring Operation: 29-18=11, Resulting Numbers: [22, 11]
Generated Node #0,1,0: 19:[22, 11] Operation: 29-18=11
Exploring Operation: 29-22=7, Resulting Numbers: [18, 7]
Generated Node #0,1,1: 19:[18, 7] Operation: 29-22=7
Moving to Node #0,1,0
Current State: 19:[22, 11], Operations: ['28-6=22', '29-18=11']
Exploring Operation: 22+11=33, Resulting Numbers: [33]
33,19 unequal: No Solution
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,19 unequal: No Solution
Moving to Node #0,1,1
Current State: 19:[18, 7], Operations: ['28-6=22', '29-22=7']
Exploring Operation: 18+7=25, Resulting Numbers: [25]
25,19 unequal: No Solution
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
16,
2,
54,
16
] | 52 |
[
"16+2=18",
"54+16=70",
"70-18=52"
] |
Current State: 52:[16, 2, 54, 16], Operations: []
Exploring Operation: 16+2=18, Resulting Numbers: [54, 18]
Generated Node #2: [54, 18] from Operation: 16+2=18
Current State: 52:[54, 18], Operations: ['16+2=18']
Exploring Operation: 54+16=70, Resulting Numbers: [18, 70]
Generated Node #3: [18, 70] from Operation: 54+16=70
Current State: 52:[18, 70], Operations: ['16+2=18', '54+16=70']
Exploring Operation: 70-18=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
Current State: 52:[16, 2, 54, 16], Operations: []
Exploring Operation: 16/16=1, Resulting Numbers: [2, 54, 1]
Generated Node #0,0: 52:[2, 54, 1] Operation: 16/16=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[2, 54, 1], Operations: ['16/16=1']
Exploring Operation: 54-2=52, Resulting Numbers: [1, 52]
Generated Node #0,0,0: 52:[1, 52] Operation: 54-2=52
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 52:[1, 52], Operations: ['16/16=1', '54-2=52']
Exploring Operation: 1*52=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[16, 2, 54, 16], Operations: []
Exploring Operation: 16/16=1, Resulting Numbers: [2, 54, 1]
Generated Node #0,0: 52:[2, 54, 1] Operation: 16/16=1
Moving to Node #0,0
Current State: 52:[2, 54, 1], Operations: ['16/16=1']
Exploring Operation: 54-2=52, Resulting Numbers: [1, 52]
Generated Node #0,0,0: 52:[1, 52] Operation: 54-2=52
Moving to Node #0,0,0
Current State: 52:[1, 52], Operations: ['16/16=1', '54-2=52']
Exploring Operation: 1*52=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 |
hs_1
|
mult_heuristic
|
[
9,
68,
61,
39
] | 41 |
[
"68-9=59",
"61+39=100",
"100-59=41"
] |
Current State: 41:[9, 68, 61, 39], Operations: []
Exploring Operation: 68-9=59, Resulting Numbers: [61, 39, 59]
Generated Node #2: [61, 39, 59] from Operation: 68-9=59
Current State: 41:[61, 39, 59], Operations: ['68-9=59']
Exploring Operation: 61+39=100, Resulting Numbers: [59, 100]
Generated Node #3: [59, 100] from Operation: 61+39=100
Current State: 41:[59, 100], Operations: ['68-9=59', '61+39=100']
Exploring Operation: 100-59=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
Current State: 41:[9, 68, 61, 39], Operations: []
Exploring Operation: 9+61=70, Resulting Numbers: [68, 39, 70]
Generated Node #0,0: 41:[68, 39, 70] Operation: 9+61=70
Exploring Operation: 61-9=52, Resulting Numbers: [68, 39, 52]
Generated Node #0,1: 41:[68, 39, 52] Operation: 61-9=52
Exploring Operation: 9+39=48, Resulting Numbers: [68, 61, 48]
Generated Node #0,2: 41:[68, 61, 48] Operation: 9+39=48
Exploring Operation: 9+68=77, Resulting Numbers: [61, 39, 77]
Generated Node #0,3: 41:[61, 39, 77] Operation: 9+68=77
Exploring Operation: 68-9=59, Resulting Numbers: [61, 39, 59]
Generated Node #0,4: 41:[61, 39, 59] Operation: 68-9=59
Start Sub Search at level 1: Moving to Node #0,1
Current State: 41:[68, 39, 52], Operations: ['61-9=52']
Exploring Operation: 68+39=107, Resulting Numbers: [52, 107]
Generated Node #0,1,0: 41:[52, 107] Operation: 68+39=107
Exploring Operation: 39+52=91, Resulting Numbers: [68, 91]
Generated Node #0,1,1: 41:[68, 91] Operation: 39+52=91
Exploring Operation: 68-52=16, Resulting Numbers: [39, 16]
Generated Node #0,1,2: 41:[39, 16] Operation: 68-52=16
Exploring Operation: 68-39=29, Resulting Numbers: [52, 29]
Generated Node #0,1,3: 41:[52, 29] Operation: 68-39=29
Exploring Operation: 52-39=13, Resulting Numbers: [68, 13]
Generated Node #0,1,4: 41:[68, 13] Operation: 52-39=13
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 41:[52, 29], Operations: ['61-9=52', '68-39=29']
Exploring Operation: 52+29=81, Resulting Numbers: [81]
81,41 unequal: No Solution
Exploring Operation: 52*29=1508, Resulting Numbers: [1508]
1508,41 unequal: No Solution
Exploring Operation: 52-29=23, Resulting Numbers: [23]
23,41 unequal: No Solution
No 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: 41:[39, 16], Operations: ['61-9=52', '68-52=16']
Exploring Operation: 39+16=55, Resulting Numbers: [55]
55,41 unequal: No Solution
Exploring Operation: 39*16=624, Resulting Numbers: [624]
624,41 unequal: No Solution
Exploring Operation: 39-16=23, Resulting Numbers: [23]
23,41 unequal: No Solution
No 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: 41:[68, 13], Operations: ['61-9=52', '52-39=13']
Exploring Operation: 68*13=884, Resulting Numbers: [884]
884,41 unequal: No Solution
Exploring Operation: 68+13=81, Resulting Numbers: [81]
81,41 unequal: No Solution
Exploring Operation: 68-13=55, Resulting Numbers: [55]
55,41 unequal: No Solution
No 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: 41:[52, 107], Operations: ['61-9=52', '68+39=107']
Exploring Operation: 107-52=55, Resulting Numbers: [55]
55,41 unequal: No Solution
Exploring Operation: 52+107=159, Resulting Numbers: [159]
159,41 unequal: No Solution
Exploring Operation: 52*107=5564, Resulting Numbers: [5564]
5564,41 unequal: No Solution
No 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: 41:[68, 91], Operations: ['61-9=52', '39+52=91']
Exploring Operation: 68*91=6188, Resulting Numbers: [6188]
6188,41 unequal: No Solution
Exploring Operation: 68+91=159, Resulting Numbers: [159]
159,41 unequal: No Solution
Exploring Operation: 91-68=23, Resulting Numbers: [23]
23,41 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: 41:[61, 39, 59], Operations: ['68-9=59']
Exploring Operation: 39+59=98, Resulting Numbers: [61, 98]
Generated Node #0,4,0: 41:[61, 98] Operation: 39+59=98
Exploring Operation: 61-39=22, Resulting Numbers: [59, 22]
Generated Node #0,4,1: 41:[59, 22] Operation: 61-39=22
Exploring Operation: 61+39=100, Resulting Numbers: [59, 100]
Generated Node #0,4,2: 41:[59, 100] Operation: 61+39=100
Exploring Operation: 59-39=20, Resulting Numbers: [61, 20]
Generated Node #0,4,3: 41:[61, 20] Operation: 59-39=20
Exploring Operation: 61-59=2, Resulting Numbers: [39, 2]
Generated Node #0,4,4: 41:[39, 2] Operation: 61-59=2
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 41:[59, 22], Operations: ['68-9=59', '61-39=22']
Exploring Operation: 59*22=1298, Resulting Numbers: [1298]
1298,41 unequal: No Solution
Exploring Operation: 59-22=37, Resulting Numbers: [37]
37,41 unequal: No Solution
Exploring Operation: 59+22=81, Resulting Numbers: [81]
81,41 unequal: No Solution
No 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: 41:[61, 20], Operations: ['68-9=59', '59-39=20']
Exploring Operation: 61*20=1220, Resulting Numbers: [1220]
1220,41 unequal: No Solution
Exploring Operation: 61-20=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[9, 68, 61, 39], Operations: []
Exploring Operation: 68-9=59, Resulting Numbers: [61, 39, 59]
Generated Node #0,4: 41:[61, 39, 59] Operation: 68-9=59
Moving to Node #0,4
Current State: 41:[61, 39, 59], Operations: ['68-9=59']
Exploring Operation: 59-39=20, Resulting Numbers: [61, 20]
Generated Node #0,4,3: 41:[61, 20] Operation: 59-39=20
Moving to Node #0,4,3
Current State: 41:[61, 20], Operations: ['68-9=59', '59-39=20']
Exploring Operation: 61-20=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.966146 |
hs_5
|
sum_heuristic
|
[
3,
62,
14,
40
] | 72 |
[
"3*40=120",
"62-14=48",
"120-48=72"
] |
Current State: 72:[3, 62, 14, 40], Operations: []
Exploring Operation: 3*40=120, Resulting Numbers: [62, 14, 120]
Generated Node #2: [62, 14, 120] from Operation: 3*40=120
Current State: 72:[62, 14, 120], Operations: ['3*40=120']
Exploring Operation: 62-14=48, Resulting Numbers: [120, 48]
Generated Node #3: [120, 48] from Operation: 62-14=48
Current State: 72:[120, 48], Operations: ['3*40=120', '62-14=48']
Exploring Operation: 120-48=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
Current State: 72:[3, 62, 14, 40], Operations: []
Exploring Operation: 62-40=22, Resulting Numbers: [3, 14, 22]
Generated Node #0,0: 72:[3, 14, 22] Operation: 62-40=22
Exploring Operation: 62+14=76, Resulting Numbers: [3, 40, 76]
Generated Node #0,1: 72:[3, 40, 76] Operation: 62+14=76
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[3, 14, 22], Operations: ['62-40=22']
Exploring Operation: 14+22=36, Resulting Numbers: [3, 36]
Generated Node #0,0,0: 72:[3, 36] Operation: 14+22=36
Exploring Operation: 22-14=8, Resulting Numbers: [3, 8]
Generated Node #0,0,1: 72:[3, 8] Operation: 22-14=8
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 72:[3, 36], Operations: ['62-40=22', '14+22=36']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,72 unequal: No Solution
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 72:[3, 8], Operations: ['62-40=22', '22-14=8']
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,72 unequal: No Solution
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[3, 40, 76], Operations: ['62+14=76']
Exploring Operation: 40-3=37, Resulting Numbers: [76, 37]
Generated Node #0,1,0: 72:[76, 37] Operation: 40-3=37
Exploring Operation: 76-40=36, Resulting Numbers: [3, 36]
Generated Node #0,1,1: 72:[3, 36] Operation: 76-40=36
Moving to Node #0,1,1
Current State: 72:[3, 36], Operations: ['62+14=76', '76-40=36']
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,72 unequal: No Solution
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,72 unequal: No Solution
Moving to Node #0,1,0
Current State: 72:[76, 37], Operations: ['62+14=76', '40-3=37']
Exploring Operation: 76-37=39, Resulting Numbers: [39]
39,72 unequal: No Solution
Exploring Operation: 76+37=113, Resulting Numbers: [113]
113,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
93,
11,
10,
3
] | 24 |
[
"93-11=82",
"82-10=72",
"72/3=24"
] |
Current State: 24:[93, 11, 10, 3], Operations: []
Exploring Operation: 93-11=82, Resulting Numbers: [10, 3, 82]
Generated Node #2: [10, 3, 82] from Operation: 93-11=82
Current State: 24:[10, 3, 82], Operations: ['93-11=82']
Exploring Operation: 82-10=72, Resulting Numbers: [3, 72]
Generated Node #3: [3, 72] from Operation: 82-10=72
Current State: 24:[3, 72], Operations: ['93-11=82', '82-10=72']
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
Current State: 24:[93, 11, 10, 3], Operations: []
Exploring Operation: 93/3=31, Resulting Numbers: [11, 10, 31]
Generated Node #0,0: 24:[11, 10, 31] Operation: 93/3=31
Exploring Operation: 93-10=83, Resulting Numbers: [11, 3, 83]
Generated Node #0,1: 24:[11, 3, 83] Operation: 93-10=83
Exploring Operation: 93-11=82, Resulting Numbers: [10, 3, 82]
Generated Node #0,2: 24:[10, 3, 82] Operation: 93-11=82
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[11, 10, 31], Operations: ['93/3=31']
Exploring Operation: 31-11=20, Resulting Numbers: [10, 20]
Generated Node #0,0,0: 24:[10, 20] Operation: 31-11=20
Exploring Operation: 31-10=21, Resulting Numbers: [11, 21]
Generated Node #0,0,1: 24:[11, 21] Operation: 31-10=21
Exploring Operation: 11-10=1, Resulting Numbers: [31, 1]
Generated Node #0,0,2: 24:[31, 1] Operation: 11-10=1
Moving to Node #0,0,1
Current State: 24:[11, 21], Operations: ['93/3=31', '31-10=21']
Exploring Operation: 11+21=32, Resulting Numbers: [32]
32,24 unequal: No Solution
Exploring Operation: 21-11=10, Resulting Numbers: [10]
10,24 unequal: No Solution
Exploring Operation: 11*21=231, Resulting Numbers: [231]
231,24 unequal: No Solution
Moving to Node #0,0,0
Current State: 24:[10, 20], Operations: ['93/3=31', '31-11=20']
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,24 unequal: No Solution
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,24 unequal: No Solution
Exploring Operation: 10+20=30, Resulting Numbers: [30]
30,24 unequal: No Solution
Moving to Node #0,0,2
Current State: 24:[31, 1], Operations: ['93/3=31', '11-10=1']
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,24 unequal: No Solution
Exploring Operation: 31/1=31, Resulting Numbers: [31]
31,24 unequal: No Solution
Exploring Operation: 31*1=31, Resulting Numbers: [31]
31,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 24:[11, 3, 83], Operations: ['93-10=83']
Exploring Operation: 83-3=80, Resulting Numbers: [11, 80]
Generated Node #0,1,0: 24:[11, 80] Operation: 83-3=80
Exploring Operation: 83-11=72, Resulting Numbers: [3, 72]
Generated Node #0,1,1: 24:[3, 72] Operation: 83-11=72
Exploring Operation: 11-3=8, Resulting Numbers: [83, 8]
Generated Node #0,1,2: 24:[83, 8] Operation: 11-3=8
Moving to Node #0,1,1
Current State: 24:[3, 72], Operations: ['93-10=83', '83-11=72']
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[93, 11, 10, 3], Operations: []
Exploring Operation: 93-10=83, Resulting Numbers: [11, 3, 83]
Generated Node #0,1: 24:[11, 3, 83] Operation: 93-10=83
Moving to Node #0,1
Current State: 24:[11, 3, 83], Operations: ['93-10=83']
Exploring Operation: 83-11=72, Resulting Numbers: [3, 72]
Generated Node #0,1,1: 24:[3, 72] Operation: 83-11=72
Moving to Node #0,1,1
Current State: 24:[3, 72], Operations: ['93-10=83', '83-11=72']
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 |
hs_3
|
mult_heuristic
|
[
97,
57,
23,
22
] | 85 |
[
"97-57=40",
"23+22=45",
"40+45=85"
] |
Current State: 85:[97, 57, 23, 22], Operations: []
Exploring Operation: 97-57=40, Resulting Numbers: [23, 22, 40]
Generated Node #2: [23, 22, 40] from Operation: 97-57=40
Current State: 85:[23, 22, 40], Operations: ['97-57=40']
Exploring Operation: 23+22=45, Resulting Numbers: [40, 45]
Generated Node #3: [40, 45] from Operation: 23+22=45
Current State: 85:[40, 45], Operations: ['97-57=40', '23+22=45']
Exploring Operation: 40+45=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
Current State: 85:[97, 57, 23, 22], Operations: []
Exploring Operation: 57+22=79, Resulting Numbers: [97, 23, 79]
Generated Node #0,0: 85:[97, 23, 79] Operation: 57+22=79
Exploring Operation: 57+23=80, Resulting Numbers: [97, 22, 80]
Generated Node #0,1: 85:[97, 22, 80] Operation: 57+23=80
Exploring Operation: 97-57=40, Resulting Numbers: [23, 22, 40]
Generated Node #0,2: 85:[23, 22, 40] Operation: 97-57=40
Start Sub Search at level 1: Moving to Node #0,1
Current State: 85:[97, 22, 80], Operations: ['57+23=80']
Exploring Operation: 97-80=17, Resulting Numbers: [22, 17]
Generated Node #0,1,0: 85:[22, 17] Operation: 97-80=17
Exploring Operation: 22+80=102, Resulting Numbers: [97, 102]
Generated Node #0,1,1: 85:[97, 102] Operation: 22+80=102
Exploring Operation: 97-22=75, Resulting Numbers: [80, 75]
Generated Node #0,1,2: 85:[80, 75] Operation: 97-22=75
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 85:[22, 17], Operations: ['57+23=80', '97-80=17']
Exploring Operation: 22-17=5, Resulting Numbers: [5]
5,85 unequal: No Solution
Exploring Operation: 22+17=39, Resulting Numbers: [39]
39,85 unequal: No Solution
Exploring Operation: 22*17=374, Resulting Numbers: [374]
374,85 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 #0,1,2
Current State: 85:[80, 75], Operations: ['57+23=80', '97-22=75']
Exploring Operation: 80+75=155, Resulting Numbers: [155]
155,85 unequal: No Solution
Exploring Operation: 80-75=5, Resulting Numbers: [5]
5,85 unequal: No Solution
Exploring Operation: 80*75=6000, Resulting Numbers: [6000]
6000,85 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:[97, 102], Operations: ['57+23=80', '22+80=102']
Exploring Operation: 97+102=199, Resulting Numbers: [199]
199,85 unequal: No Solution
Exploring Operation: 102-97=5, Resulting Numbers: [5]
5,85 unequal: No Solution
Exploring Operation: 97*102=9894, Resulting Numbers: [9894]
9894,85 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
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[97, 23, 79], Operations: ['57+22=79']
Exploring Operation: 97-23=74, Resulting Numbers: [79, 74]
Generated Node #0,0,0: 85:[79, 74] Operation: 97-23=74
Exploring Operation: 97-79=18, Resulting Numbers: [23, 18]
Generated Node #0,0,1: 85:[23, 18] Operation: 97-79=18
Exploring Operation: 23+79=102, Resulting Numbers: [97, 102]
Generated Node #0,0,2: 85:[97, 102] Operation: 23+79=102
Moving to Node #0,0,1
Current State: 85:[23, 18], Operations: ['57+22=79', '97-79=18']
Exploring Operation: 23-18=5, Resulting Numbers: [5]
5,85 unequal: No Solution
Exploring Operation: 23+18=41, Resulting Numbers: [41]
41,85 unequal: No Solution
Exploring Operation: 23*18=414, Resulting Numbers: [414]
414,85 unequal: No Solution
Moving to Node #0,0,0
Current State: 85:[79, 74], Operations: ['57+22=79', '97-23=74']
Exploring Operation: 79+74=153, Resulting Numbers: [153]
153,85 unequal: No Solution
Exploring Operation: 79-74=5, Resulting Numbers: [5]
5,85 unequal: No Solution
Exploring Operation: 79*74=5846, Resulting Numbers: [5846]
5846,85 unequal: No Solution
Moving to Node #0,0,2
Current State: 85:[97, 102], Operations: ['57+22=79', '23+79=102']
Exploring Operation: 97*102=9894, Resulting Numbers: [9894]
9894,85 unequal: No Solution
Exploring Operation: 97+102=199, Resulting Numbers: [199]
199,85 unequal: No Solution
Exploring Operation: 102-97=5, Resulting Numbers: [5]
5,85 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 #0,2
Current State: 85:[23, 22, 40], Operations: ['97-57=40']
Exploring Operation: 40-22=18, Resulting Numbers: [23, 18]
Generated Node #0,2,0: 85:[23, 18] Operation: 40-22=18
Exploring Operation: 40-23=17, Resulting Numbers: [22, 17]
Generated Node #0,2,1: 85:[22, 17] Operation: 40-23=17
Exploring Operation: 23-22=1, Resulting Numbers: [40, 1]
Generated Node #0,2,2: 85:[40, 1] Operation: 23-22=1
Moving to Node #0,2,1
Current State: 85:[22, 17], Operations: ['97-57=40', '40-23=17']
Exploring Operation: 22*17=374, Resulting Numbers: [374]
374,85 unequal: No Solution
Exploring Operation: 22+17=39, Resulting Numbers: [39]
39,85 unequal: No Solution
Exploring Operation: 22-17=5, Resulting Numbers: [5]
5,85 unequal: No Solution
Moving to Node #0,2,0
Current State: 85:[23, 18], Operations: ['97-57=40', '40-22=18']
Exploring Operation: 23-18=5, Resulting Numbers: [5]
5,85 unequal: No Solution
Exploring Operation: 23+18=41, Resulting Numbers: [41]
41,85 unequal: No Solution
Exploring Operation: 23*18=414, Resulting Numbers: [414]
414,85 unequal: No Solution
Moving to Node #0,2,2
Current State: 85:[40, 1], Operations: ['97-57=40', '23-22=1']
Exploring Operation: 40-1=39, Resulting Numbers: [39]
39,85 unequal: No Solution
Exploring Operation: 40/1=40, Resulting Numbers: [40]
40,85 unequal: No Solution
Exploring Operation: 40*1=40, Resulting Numbers: [40]
40,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
44,
83,
59,
88
] | 22 |
[
"88/44=2",
"83-59=24",
"24-2=22"
] |
Current State: 22:[44, 83, 59, 88], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [83, 59, 2]
Generated Node #2: [83, 59, 2] from Operation: 88/44=2
Current State: 22:[83, 59, 2], Operations: ['88/44=2']
Exploring Operation: 83-59=24, Resulting Numbers: [2, 24]
Generated Node #3: [2, 24] from Operation: 83-59=24
Current State: 22:[2, 24], Operations: ['88/44=2', '83-59=24']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
Current State: 22:[44, 83, 59, 88], Operations: []
Exploring Operation: 83-59=24, Resulting Numbers: [44, 88, 24]
Generated Node #0,0: 22:[44, 88, 24] Operation: 83-59=24
Exploring Operation: 83-44=39, Resulting Numbers: [59, 88, 39]
Generated Node #0,1: 22:[59, 88, 39] Operation: 83-44=39
Exploring Operation: 88/44=2, Resulting Numbers: [83, 59, 2]
Generated Node #0,2: 22:[83, 59, 2] Operation: 88/44=2
Exploring Operation: 88-59=29, Resulting Numbers: [44, 83, 29]
Generated Node #0,3: 22:[44, 83, 29] Operation: 88-59=29
Exploring Operation: 88-83=5, Resulting Numbers: [44, 59, 5]
Generated Node #0,4: 22:[44, 59, 5] Operation: 88-83=5
Moving to Node #0,4
Current State: 22:[44, 59, 5], Operations: ['88-83=5']
Exploring Operation: 59-5=54, Resulting Numbers: [44, 54]
Generated Node #0,4,0: 22:[44, 54] Operation: 59-5=54
Exploring Operation: 59-44=15, Resulting Numbers: [5, 15]
Generated Node #0,4,1: 22:[5, 15] Operation: 59-44=15
Exploring Operation: 44+5=49, Resulting Numbers: [59, 49]
Generated Node #0,4,2: 22:[59, 49] Operation: 44+5=49
Exploring Operation: 59+5=64, Resulting Numbers: [44, 64]
Generated Node #0,4,3: 22:[44, 64] Operation: 59+5=64
Exploring Operation: 44-5=39, Resulting Numbers: [59, 39]
Generated Node #0,4,4: 22:[59, 39] Operation: 44-5=39
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 22:[5, 15], Operations: ['88-83=5', '59-44=15']
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,22 unequal: No Solution
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,22 unequal: No Solution
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,22 unequal: No Solution
Exploring Operation: 5+15=20, Resulting Numbers: [20]
20,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 22:[44, 54], Operations: ['88-83=5', '59-5=54']
Exploring Operation: 44+54=98, Resulting Numbers: [98]
98,22 unequal: No Solution
Exploring Operation: 44*54=2376, Resulting Numbers: [2376]
2376,22 unequal: No Solution
Exploring Operation: 54-44=10, Resulting Numbers: [10]
10,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 22:[59, 39], Operations: ['88-83=5', '44-5=39']
Exploring Operation: 59-39=20, Resulting Numbers: [20]
20,22 unequal: No Solution
Exploring Operation: 59+39=98, Resulting Numbers: [98]
98,22 unequal: No Solution
Exploring Operation: 59*39=2301, Resulting Numbers: [2301]
2301,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 22:[59, 49], Operations: ['88-83=5', '44+5=49']
Exploring Operation: 59*49=2891, Resulting Numbers: [2891]
2891,22 unequal: No Solution
Exploring Operation: 59+49=108, Resulting Numbers: [108]
108,22 unequal: No Solution
Exploring Operation: 59-49=10, Resulting Numbers: [10]
10,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 22:[44, 64], Operations: ['88-83=5', '59+5=64']
Exploring Operation: 64-44=20, Resulting Numbers: [20]
20,22 unequal: No Solution
Exploring Operation: 44*64=2816, Resulting Numbers: [2816]
2816,22 unequal: No Solution
Exploring Operation: 44+64=108, Resulting Numbers: [108]
108,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 22:[44, 83, 29], Operations: ['88-59=29']
Exploring Operation: 44+83=127, Resulting Numbers: [29, 127]
Generated Node #0,3,0: 22:[29, 127] Operation: 44+83=127
Exploring Operation: 83-29=54, Resulting Numbers: [44, 54]
Generated Node #0,3,1: 22:[44, 54] Operation: 83-29=54
Exploring Operation: 44+29=73, Resulting Numbers: [83, 73]
Generated Node #0,3,2: 22:[83, 73] Operation: 44+29=73
Exploring Operation: 83-44=39, Resulting Numbers: [29, 39]
Generated Node #0,3,3: 22:[29, 39] Operation: 83-44=39
Exploring Operation: 44-29=15, Resulting Numbers: [83, 15]
Generated Node #0,3,4: 22:[83, 15] Operation: 44-29=15
Moving to Node #0,0
Current State: 22:[44, 88, 24], Operations: ['83-59=24']
Exploring Operation: 44+88=132, Resulting Numbers: [24, 132]
Generated Node #0,0,0: 22:[24, 132] Operation: 44+88=132
Exploring Operation: 88/44=2, Resulting Numbers: [24, 2]
Generated Node #0,0,1: 22:[24, 2] Operation: 88/44=2
Exploring Operation: 44-24=20, Resulting Numbers: [88, 20]
Generated Node #0,0,2: 22:[88, 20] Operation: 44-24=20
Exploring Operation: 88-24=64, Resulting Numbers: [44, 64]
Generated Node #0,0,3: 22:[44, 64] Operation: 88-24=64
Exploring Operation: 88-44=44, Resulting Numbers: [24, 44]
Generated Node #0,0,4: 22:[24, 44] Operation: 88-44=44
Moving to Node #0,2
Current State: 22:[83, 59, 2], Operations: ['88/44=2']
Exploring Operation: 59-2=57, Resulting Numbers: [83, 57]
Generated Node #0,2,0: 22:[83, 57] Operation: 59-2=57
Exploring Operation: 59+2=61, Resulting Numbers: [83, 61]
Generated Node #0,2,1: 22:[83, 61] Operation: 59+2=61
Exploring Operation: 83-59=24, Resulting Numbers: [2, 24]
Generated Node #0,2,2: 22:[2, 24] Operation: 83-59=24
Exploring Operation: 83+2=85, Resulting Numbers: [59, 85]
Generated Node #0,2,3: 22:[59, 85] Operation: 83+2=85
Exploring Operation: 83-2=81, Resulting Numbers: [59, 81]
Generated Node #0,2,4: 22:[59, 81] Operation: 83-2=81
Moving to Node #0,1
Current State: 22:[59, 88, 39], Operations: ['83-44=39']
Exploring Operation: 59-39=20, Resulting Numbers: [88, 20]
Generated Node #0,1,0: 22:[88, 20] Operation: 59-39=20
Exploring Operation: 88-39=49, Resulting Numbers: [59, 49]
Generated Node #0,1,1: 22:[59, 49] Operation: 88-39=49
Exploring Operation: 59+39=98, Resulting Numbers: [88, 98]
Generated Node #0,1,2: 22:[88, 98] Operation: 59+39=98
Exploring Operation: 88-59=29, Resulting Numbers: [39, 29]
Generated Node #0,1,3: 22:[39, 29] Operation: 88-59=29
Exploring Operation: 59+88=147, Resulting Numbers: [39, 147]
Generated Node #0,1,4: 22:[39, 147] Operation: 59+88=147
Moving to Node #0,0,1
Current State: 22:[24, 2], Operations: ['83-59=24', '88/44=2']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[44, 83, 59, 88], Operations: []
Exploring Operation: 83-59=24, Resulting Numbers: [44, 88, 24]
Generated Node #0,0: 22:[44, 88, 24] Operation: 83-59=24
Moving to Node #0,0
Current State: 22:[44, 88, 24], Operations: ['83-59=24']
Exploring Operation: 88/44=2, Resulting Numbers: [24, 2]
Generated Node #0,0,1: 22:[24, 2] Operation: 88/44=2
Moving to Node #0,0,1
Current State: 22:[24, 2], Operations: ['83-59=24', '88/44=2']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 0.955729 |
hs_5
|
sum_heuristic
|
[
42,
12,
31,
35
] | 39 |
[
"35-31=4",
"12/4=3",
"42-3=39"
] |
Current State: 39:[42, 12, 31, 35], Operations: []
Exploring Operation: 35-31=4, Resulting Numbers: [42, 12, 4]
Generated Node #2: [42, 12, 4] from Operation: 35-31=4
Current State: 39:[42, 12, 4], Operations: ['35-31=4']
Exploring Operation: 12/4=3, Resulting Numbers: [42, 3]
Generated Node #3: [42, 3] from Operation: 12/4=3
Current State: 39:[42, 3], Operations: ['35-31=4', '12/4=3']
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
Current State: 39:[42, 12, 31, 35], Operations: []
Exploring Operation: 35-31=4, Resulting Numbers: [42, 12, 4]
Generated Node #0,0: 39:[42, 12, 4] Operation: 35-31=4
Exploring Operation: 12+31=43, Resulting Numbers: [42, 35, 43]
Generated Node #0,1: 39:[42, 35, 43] Operation: 12+31=43
Exploring Operation: 42-31=11, Resulting Numbers: [12, 35, 11]
Generated Node #0,2: 39:[12, 35, 11] Operation: 42-31=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[42, 12, 4], Operations: ['35-31=4']
Exploring Operation: 42-4=38, Resulting Numbers: [12, 38]
Generated Node #0,0,0: 39:[12, 38] Operation: 42-4=38
Exploring Operation: 12+4=16, Resulting Numbers: [42, 16]
Generated Node #0,0,1: 39:[42, 16] Operation: 12+4=16
Exploring Operation: 12/4=3, Resulting Numbers: [42, 3]
Generated Node #0,0,2: 39:[42, 3] Operation: 12/4=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 39:[12, 38], Operations: ['35-31=4', '42-4=38']
Exploring Operation: 38-12=26, Resulting Numbers: [26]
26,39 unequal: No Solution
Exploring Operation: 12+38=50, Resulting Numbers: [50]
50,39 unequal: No Solution
Exploring Operation: 12*38=456, Resulting Numbers: [456]
456,39 unequal: No Solution
No 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: 39:[42, 3], Operations: ['35-31=4', '12/4=3']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,39 unequal: No Solution
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[42, 12, 31, 35], Operations: []
Exploring Operation: 35-31=4, Resulting Numbers: [42, 12, 4]
Generated Node #0,0: 39:[42, 12, 4] Operation: 35-31=4
Moving to Node #0,0
Current State: 39:[42, 12, 4], Operations: ['35-31=4']
Exploring Operation: 12/4=3, Resulting Numbers: [42, 3]
Generated Node #0,0,2: 39:[42, 3] Operation: 12/4=3
Moving to Node #0,0,2
Current State: 39:[42, 3], Operations: ['35-31=4', '12/4=3']
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 |
hs_3
|
sum_heuristic
|
[
48,
61,
3,
8
] | 39 |
[
"48+61=109",
"8+109=117",
"117/3=39"
] |
Current State: 39:[48, 61, 3, 8], Operations: []
Exploring Operation: 48+61=109, Resulting Numbers: [3, 8, 109]
Generated Node #2: [3, 8, 109] from Operation: 48+61=109
Current State: 39:[3, 8, 109], Operations: ['48+61=109']
Exploring Operation: 8+109=117, Resulting Numbers: [3, 117]
Generated Node #3: [3, 117] from Operation: 8+109=117
Current State: 39:[3, 117], Operations: ['48+61=109', '8+109=117']
Exploring Operation: 117/3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
Current State: 39:[48, 61, 3, 8], Operations: []
Exploring Operation: 48-8=40, Resulting Numbers: [61, 3, 40]
Generated Node #0,0: 39:[61, 3, 40] Operation: 48-8=40
Exploring Operation: 61-48=13, Resulting Numbers: [3, 8, 13]
Generated Node #0,1: 39:[3, 8, 13] Operation: 61-48=13
Exploring Operation: 48/8=6, Resulting Numbers: [61, 3, 6]
Generated Node #0,2: 39:[61, 3, 6] Operation: 48/8=6
Exploring Operation: 61-8=53, Resulting Numbers: [48, 3, 53]
Generated Node #0,3: 39:[48, 3, 53] Operation: 61-8=53
Moving to Node #0,1
Current State: 39:[3, 8, 13], Operations: ['61-48=13']
Exploring Operation: 3+8=11, Resulting Numbers: [13, 11]
Generated Node #0,1,0: 39:[13, 11] Operation: 3+8=11
Exploring Operation: 13-8=5, Resulting Numbers: [3, 5]
Generated Node #0,1,1: 39:[3, 5] Operation: 13-8=5
Exploring Operation: 8-3=5, Resulting Numbers: [13, 5]
Generated Node #0,1,2: 39:[13, 5] Operation: 8-3=5
Exploring Operation: 3*13=39, Resulting Numbers: [8, 39]
Generated Node #0,1,3: 39:[8, 39] Operation: 3*13=39
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 39:[13, 11], Operations: ['61-48=13', '3+8=11']
Exploring Operation: 13-11=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 13+11=24, Resulting Numbers: [24]
24,39 unequal: No Solution
Exploring Operation: 13*11=143, Resulting Numbers: [143]
143,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 39:[3, 5], Operations: ['61-48=13', '13-8=5']
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,39 unequal: No Solution
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,39 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 39:[13, 5], Operations: ['61-48=13', '8-3=5']
Exploring Operation: 13+5=18, Resulting Numbers: [18]
18,39 unequal: No Solution
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,39 unequal: No Solution
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 39:[8, 39], Operations: ['61-48=13', '3*13=39']
Exploring Operation: 8*39=312, Resulting Numbers: [312]
312,39 unequal: No Solution
Exploring Operation: 8+39=47, Resulting Numbers: [47]
47,39 unequal: No Solution
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,39 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: 39:[48, 3, 53], Operations: ['61-8=53']
Exploring Operation: 53-48=5, Resulting Numbers: [3, 5]
Generated Node #0,3,0: 39:[3, 5] Operation: 53-48=5
Exploring Operation: 48-3=45, Resulting Numbers: [53, 45]
Generated Node #0,3,1: 39:[53, 45] Operation: 48-3=45
Exploring Operation: 48/3=16, Resulting Numbers: [53, 16]
Generated Node #0,3,2: 39:[53, 16] Operation: 48/3=16
Exploring Operation: 53-3=50, Resulting Numbers: [48, 50]
Generated Node #0,3,3: 39:[48, 50] Operation: 53-3=50
Moving to Node #0,0
Current State: 39:[61, 3, 40], Operations: ['48-8=40']
Exploring Operation: 61+3=64, Resulting Numbers: [40, 64]
Generated Node #0,0,0: 39:[40, 64] Operation: 61+3=64
Exploring Operation: 61-40=21, Resulting Numbers: [3, 21]
Generated Node #0,0,1: 39:[3, 21] Operation: 61-40=21
Exploring Operation: 40-3=37, Resulting Numbers: [61, 37]
Generated Node #0,0,2: 39:[61, 37] Operation: 40-3=37
Exploring Operation: 61-3=58, Resulting Numbers: [40, 58]
Generated Node #0,0,3: 39:[40, 58] Operation: 61-3=58
Moving to Node #0,2
Current State: 39:[61, 3, 6], Operations: ['48/8=6']
Exploring Operation: 6/3=2, Resulting Numbers: [61, 2]
Generated Node #0,2,0: 39:[61, 2] Operation: 6/3=2
Exploring Operation: 61-6=55, Resulting Numbers: [3, 55]
Generated Node #0,2,1: 39:[3, 55] Operation: 61-6=55
Exploring Operation: 61-3=58, Resulting Numbers: [6, 58]
Generated Node #0,2,2: 39:[6, 58] Operation: 61-3=58
Exploring Operation: 6-3=3, Resulting Numbers: [61, 3]
Generated Node #0,2,3: 39:[61, 3] Operation: 6-3=3
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 39:[3, 55], Operations: ['48/8=6', '61-6=55']
Exploring Operation: 3*55=165, Resulting Numbers: [165]
165,39 unequal: No Solution
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,39 unequal: No Solution
Exploring Operation: 3+55=58, Resulting Numbers: [58]
58,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 39:[6, 58], Operations: ['48/8=6', '61-3=58']
Exploring Operation: 6+58=64, Resulting Numbers: [64]
64,39 unequal: No Solution
Exploring Operation: 58-6=52, Resulting Numbers: [52]
52,39 unequal: No Solution
Exploring Operation: 6*58=348, Resulting Numbers: [348]
348,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 39:[61, 3], Operations: ['48/8=6', '6-3=3']
Exploring Operation: 61*3=183, Resulting Numbers: [183]
183,39 unequal: No Solution
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,39 unequal: No Solution
Exploring Operation: 61+3=64, Resulting Numbers: [64]
64,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 39:[61, 2], Operations: ['48/8=6', '6/3=2']
Exploring Operation: 61*2=122, Resulting Numbers: [122]
122,39 unequal: No Solution
Exploring Operation: 61+2=63, Resulting Numbers: [63]
63,39 unequal: No Solution
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 39:[3, 5], Operations: ['61-8=53', '53-48=5']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,39 unequal: No Solution
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,39 unequal: No Solution
Moving to Node #0,0,1
Current State: 39:[3, 21], Operations: ['48-8=40', '61-40=21']
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,39 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,39 unequal: No Solution
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,39 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,39 unequal: No Solution
Moving to Node #0,3,2
Current State: 39:[53, 16], Operations: ['61-8=53', '48/3=16']
Exploring Operation: 53+16=69, Resulting Numbers: [69]
69,39 unequal: No Solution
Exploring Operation: 53*16=848, Resulting Numbers: [848]
848,39 unequal: No Solution
Exploring Operation: 53-16=37, Resulting Numbers: [37]
37,39 unequal: No Solution
Moving to Node #0,3,1
Current State: 39:[53, 45], Operations: ['61-8=53', '48-3=45']
Exploring Operation: 53-45=8, Resulting Numbers: [8]
8,39 unequal: No Solution
Exploring Operation: 53+45=98, Resulting Numbers: [98]
98,39 unequal: No Solution
Exploring Operation: 53*45=2385, Resulting Numbers: [2385]
2385,39 unequal: No Solution
Moving to Node #0,0,3
Current State: 39:[40, 58], Operations: ['48-8=40', '61-3=58']
Exploring Operation: 40*58=2320, Resulting Numbers: [2320]
2320,39 unequal: No Solution
Exploring Operation: 40+58=98, Resulting Numbers: [98]
98,39 unequal: No Solution
Exploring Operation: 58-40=18, Resulting Numbers: [18]
18,39 unequal: No Solution
Moving to Node #0,3,3
Current State: 39:[48, 50], Operations: ['61-8=53', '53-3=50']
Exploring Operation: 50-48=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 48+50=98, Resulting Numbers: [98]
98,39 unequal: No Solution
Exploring Operation: 48*50=2400, Resulting Numbers: [2400]
2400,39 unequal: No Solution
Moving to Node #0,0,2
Current State: 39:[61, 37], Operations: ['48-8=40', '40-3=37']
Exploring Operation: 61-37=24, Resulting Numbers: [24]
24,39 unequal: No Solution
Exploring Operation: 61*37=2257, Resulting Numbers: [2257]
2257,39 unequal: No Solution
Exploring Operation: 61+37=98, Resulting Numbers: [98]
98,39 unequal: No Solution
Moving to Node #0,0,0
Current State: 39:[40, 64], Operations: ['48-8=40', '61+3=64']
Exploring Operation: 64-40=24, Resulting Numbers: [24]
24,39 unequal: No Solution
Exploring Operation: 40+64=104, Resulting Numbers: [104]
104,39 unequal: No Solution
Exploring Operation: 40*64=2560, Resulting Numbers: [2560]
2560,39 unequal: No Solution
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
[
10,
30,
6,
49
] | 41 |
[
"10*6=60",
"49-30=19",
"60-19=41"
] |
Current State: 41:[10, 30, 6, 49], Operations: []
Exploring Operation: 10*6=60, Resulting Numbers: [30, 49, 60]
Generated Node #2: [30, 49, 60] from Operation: 10*6=60
Current State: 41:[30, 49, 60], Operations: ['10*6=60']
Exploring Operation: 49-30=19, Resulting Numbers: [60, 19]
Generated Node #3: [60, 19] from Operation: 49-30=19
Current State: 41:[60, 19], Operations: ['10*6=60', '49-30=19']
Exploring Operation: 60-19=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
Current State: 41:[10, 30, 6, 49], Operations: []
Exploring Operation: 30+6=36, Resulting Numbers: [10, 49, 36]
Generated Node #0,0: 41:[10, 49, 36] Operation: 30+6=36
Exploring Operation: 10+30=40, Resulting Numbers: [6, 49, 40]
Generated Node #0,1: 41:[6, 49, 40] Operation: 10+30=40
Exploring Operation: 10*6=60, Resulting Numbers: [30, 49, 60]
Generated Node #0,2: 41:[30, 49, 60] Operation: 10*6=60
Exploring Operation: 10+6=16, Resulting Numbers: [30, 49, 16]
Generated Node #0,3: 41:[30, 49, 16] Operation: 10+6=16
Start Sub Search at level 1: Moving to Node #0,2
Current State: 41:[30, 49, 60], Operations: ['10*6=60']
Exploring Operation: 60-30=30, Resulting Numbers: [49, 30]
Generated Node #0,2,0: 41:[49, 30] Operation: 60-30=30
Exploring Operation: 49-30=19, Resulting Numbers: [60, 19]
Generated Node #0,2,1: 41:[60, 19] Operation: 49-30=19
Exploring Operation: 60-49=11, Resulting Numbers: [30, 11]
Generated Node #0,2,2: 41:[30, 11] Operation: 60-49=11
Exploring Operation: 60/30=2, Resulting Numbers: [49, 2]
Generated Node #0,2,3: 41:[49, 2] Operation: 60/30=2
Moving to Node #0,2,0
Current State: 41:[49, 30], Operations: ['10*6=60', '60-30=30']
Exploring Operation: 49*30=1470, Resulting Numbers: [1470]
1470,41 unequal: No Solution
Exploring Operation: 49-30=19, Resulting Numbers: [19]
19,41 unequal: No Solution
Exploring Operation: 49+30=79, Resulting Numbers: [79]
79,41 unequal: No Solution
Moving to Node #0,2,2
Current State: 41:[30, 11], Operations: ['10*6=60', '60-49=11']
Exploring Operation: 30*11=330, Resulting Numbers: [330]
330,41 unequal: No Solution
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,41 unequal: No Solution
Exploring Operation: 30+11=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[10, 30, 6, 49], Operations: []
Exploring Operation: 10*6=60, Resulting Numbers: [30, 49, 60]
Generated Node #0,2: 41:[30, 49, 60] Operation: 10*6=60
Moving to Node #0,2
Current State: 41:[30, 49, 60], Operations: ['10*6=60']
Exploring Operation: 60-49=11, Resulting Numbers: [30, 11]
Generated Node #0,2,2: 41:[30, 11] Operation: 60-49=11
Moving to Node #0,2,2
Current State: 41:[30, 11], Operations: ['10*6=60', '60-49=11']
Exploring Operation: 30+11=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 |
hs_4
|
mult_heuristic
|
[
2,
16,
95,
11
] | 58 |
[
"95-11=84",
"84/2=42",
"16+42=58"
] |
Current State: 58:[2, 16, 95, 11], Operations: []
Exploring Operation: 95-11=84, Resulting Numbers: [2, 16, 84]
Generated Node #2: [2, 16, 84] from Operation: 95-11=84
Current State: 58:[2, 16, 84], Operations: ['95-11=84']
Exploring Operation: 84/2=42, Resulting Numbers: [16, 42]
Generated Node #3: [16, 42] from Operation: 84/2=42
Current State: 58:[16, 42], Operations: ['95-11=84', '84/2=42']
Exploring Operation: 16+42=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
Current State: 58:[2, 16, 95, 11], Operations: []
Exploring Operation: 95-16=79, Resulting Numbers: [2, 11, 79]
Generated Node #0,0: 58:[2, 11, 79] Operation: 95-16=79
Exploring Operation: 95-11=84, Resulting Numbers: [2, 16, 84]
Generated Node #0,1: 58:[2, 16, 84] Operation: 95-11=84
Exploring Operation: 16+11=27, Resulting Numbers: [2, 95, 27]
Generated Node #0,2: 58:[2, 95, 27] Operation: 16+11=27
Moving to Node #0,0
Current State: 58:[2, 11, 79], Operations: ['95-16=79']
Exploring Operation: 79-11=68, Resulting Numbers: [2, 68]
Generated Node #0,0,0: 58:[2, 68] Operation: 79-11=68
Exploring Operation: 11-2=9, Resulting Numbers: [79, 9]
Generated Node #0,0,1: 58:[79, 9] Operation: 11-2=9
Exploring Operation: 2*11=22, Resulting Numbers: [79, 22]
Generated Node #0,0,2: 58:[79, 22] Operation: 2*11=22
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[2, 68], Operations: ['95-16=79', '79-11=68']
Exploring Operation: 2+68=70, Resulting Numbers: [70]
70,58 unequal: No Solution
Exploring Operation: 68-2=66, Resulting Numbers: [66]
66,58 unequal: No Solution
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 58:[79, 9], Operations: ['95-16=79', '11-2=9']
Exploring Operation: 79+9=88, Resulting Numbers: [88]
88,58 unequal: No Solution
Exploring Operation: 79*9=711, Resulting Numbers: [711]
711,58 unequal: No Solution
Exploring Operation: 79-9=70, Resulting Numbers: [70]
70,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 58:[79, 22], Operations: ['95-16=79', '2*11=22']
Exploring Operation: 79+22=101, Resulting Numbers: [101]
101,58 unequal: No Solution
Exploring Operation: 79-22=57, Resulting Numbers: [57]
57,58 unequal: No Solution
Exploring Operation: 79*22=1738, Resulting Numbers: [1738]
1738,58 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: 58:[2, 16, 84], Operations: ['95-11=84']
Exploring Operation: 2*16=32, Resulting Numbers: [84, 32]
Generated Node #0,1,0: 58:[84, 32] Operation: 2*16=32
Exploring Operation: 84/2=42, Resulting Numbers: [16, 42]
Generated Node #0,1,1: 58:[16, 42] Operation: 84/2=42
Exploring Operation: 84-16=68, Resulting Numbers: [2, 68]
Generated Node #0,1,2: 58:[2, 68] Operation: 84-16=68
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 58:[2, 68], Operations: ['95-11=84', '84-16=68']
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,58 unequal: No Solution
Exploring Operation: 2+68=70, Resulting Numbers: [70]
70,58 unequal: No Solution
Exploring Operation: 68-2=66, Resulting Numbers: [66]
66,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 58:[16, 42], Operations: ['95-11=84', '84/2=42']
Exploring Operation: 16+42=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[2, 16, 95, 11], Operations: []
Exploring Operation: 95-11=84, Resulting Numbers: [2, 16, 84]
Generated Node #0,1: 58:[2, 16, 84] Operation: 95-11=84
Moving to Node #0,1
Current State: 58:[2, 16, 84], Operations: ['95-11=84']
Exploring Operation: 84/2=42, Resulting Numbers: [16, 42]
Generated Node #0,1,1: 58:[16, 42] Operation: 84/2=42
Moving to Node #0,1,1
Current State: 58:[16, 42], Operations: ['95-11=84', '84/2=42']
Exploring Operation: 16+42=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 |
hs_3
|
sum_heuristic
|
[
7,
13,
93,
2
] | 56 |
[
"93-7=86",
"86/2=43",
"13+43=56"
] |
Current State: 56:[7, 13, 93, 2], Operations: []
Exploring Operation: 93-7=86, Resulting Numbers: [13, 2, 86]
Generated Node #2: [13, 2, 86] from Operation: 93-7=86
Current State: 56:[13, 2, 86], Operations: ['93-7=86']
Exploring Operation: 86/2=43, Resulting Numbers: [13, 43]
Generated Node #3: [13, 43] from Operation: 86/2=43
Current State: 56:[13, 43], Operations: ['93-7=86', '86/2=43']
Exploring Operation: 13+43=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
Current State: 56:[7, 13, 93, 2], Operations: []
Exploring Operation: 93-2=91, Resulting Numbers: [7, 13, 91]
Generated Node #0,0: 56:[7, 13, 91] Operation: 93-2=91
Exploring Operation: 93-7=86, Resulting Numbers: [13, 2, 86]
Generated Node #0,1: 56:[13, 2, 86] Operation: 93-7=86
Exploring Operation: 13-7=6, Resulting Numbers: [93, 2, 6]
Generated Node #0,2: 56:[93, 2, 6] Operation: 13-7=6
Exploring Operation: 93-13=80, Resulting Numbers: [7, 2, 80]
Generated Node #0,3: 56:[7, 2, 80] Operation: 93-13=80
Moving to Node #0,3
Current State: 56:[7, 2, 80], Operations: ['93-13=80']
Exploring Operation: 80/2=40, Resulting Numbers: [7, 40]
Generated Node #0,3,0: 56:[7, 40] Operation: 80/2=40
Exploring Operation: 7*2=14, Resulting Numbers: [80, 14]
Generated Node #0,3,1: 56:[80, 14] Operation: 7*2=14
Exploring Operation: 80-7=73, Resulting Numbers: [2, 73]
Generated Node #0,3,2: 56:[2, 73] Operation: 80-7=73
Exploring Operation: 80-2=78, Resulting Numbers: [7, 78]
Generated Node #0,3,3: 56:[7, 78] Operation: 80-2=78
Moving to Node #0,1
Current State: 56:[13, 2, 86], Operations: ['93-7=86']
Exploring Operation: 86-2=84, Resulting Numbers: [13, 84]
Generated Node #0,1,0: 56:[13, 84] Operation: 86-2=84
Exploring Operation: 86-13=73, Resulting Numbers: [2, 73]
Generated Node #0,1,1: 56:[2, 73] Operation: 86-13=73
Exploring Operation: 13+2=15, Resulting Numbers: [86, 15]
Generated Node #0,1,2: 56:[86, 15] Operation: 13+2=15
Exploring Operation: 86/2=43, Resulting Numbers: [13, 43]
Generated Node #0,1,3: 56:[13, 43] Operation: 86/2=43
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 56:[13, 43], Operations: ['93-7=86', '86/2=43']
Exploring Operation: 13*43=559, Resulting Numbers: [559]
559,56 unequal: No Solution
Exploring Operation: 13+43=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[7, 13, 93, 2], Operations: []
Exploring Operation: 93-7=86, Resulting Numbers: [13, 2, 86]
Generated Node #0,1: 56:[13, 2, 86] Operation: 93-7=86
Moving to Node #0,1
Current State: 56:[13, 2, 86], Operations: ['93-7=86']
Exploring Operation: 86/2=43, Resulting Numbers: [13, 43]
Generated Node #0,1,3: 56:[13, 43] Operation: 86/2=43
Moving to Node #0,1,3
Current State: 56:[13, 43], Operations: ['93-7=86', '86/2=43']
Exploring Operation: 13+43=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 |
hs_4
|
mult_heuristic
|
[
72,
33,
39,
36
] | 11 |
[
"72-39=33",
"36-33=3",
"33/3=11"
] |
Current State: 11:[72, 33, 39, 36], Operations: []
Exploring Operation: 72-39=33, Resulting Numbers: [33, 36, 33]
Generated Node #2: [33, 36, 33] from Operation: 72-39=33
Current State: 11:[33, 36, 33], Operations: ['72-39=33']
Exploring Operation: 36-33=3, Resulting Numbers: [3]
3,11 equal: Goal Reached
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
Current State: 11:[72, 33, 39, 36], Operations: []
Exploring Operation: 72/36=2, Resulting Numbers: [33, 39, 2]
Generated Node #0,0: 11:[33, 39, 2] Operation: 72/36=2
Exploring Operation: 72-39=33, Resulting Numbers: [33, 36, 33]
Generated Node #0,1: 11:[33, 36, 33] Operation: 72-39=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[33, 39, 2], Operations: ['72/36=2']
Exploring Operation: 33-2=31, Resulting Numbers: [39, 31]
Generated Node #0,0,0: 11:[39, 31] Operation: 33-2=31
Exploring Operation: 39-33=6, Resulting Numbers: [2, 6]
Generated Node #0,0,1: 11:[2, 6] Operation: 39-33=6
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 11:[2, 6], Operations: ['72/36=2', '39-33=6']
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,11 unequal: No Solution
No 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: 11:[39, 31], Operations: ['72/36=2', '33-2=31']
Exploring Operation: 39+31=70, Resulting Numbers: [70]
70,11 unequal: No Solution
Exploring Operation: 39-31=8, Resulting Numbers: [8]
8,11 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: 11:[33, 36, 33], Operations: ['72-39=33']
Exploring Operation: 36-33=3, Resulting Numbers: [33, 3]
Generated Node #0,1,0: 11:[33, 3] Operation: 36-33=3
Exploring Operation: 36-33=3, Resulting Numbers: [33, 3]
Generated Node #0,1,1: 11:[33, 3] Operation: 36-33=3
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 11:[33, 3], Operations: ['72-39=33', '36-33=3']
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,11 unequal: No Solution
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[72, 33, 39, 36], Operations: []
Exploring Operation: 72-39=33, Resulting Numbers: [33, 36, 33]
Generated Node #0,1: 11:[33, 36, 33] Operation: 72-39=33
Moving to Node #0,1
Current State: 11:[33, 36, 33], Operations: ['72-39=33']
Exploring Operation: 36-33=3, Resulting Numbers: [33, 3]
Generated Node #0,1,0: 11:[33, 3] Operation: 36-33=3
Moving to Node #0,1,0
Current State: 11:[33, 3], Operations: ['72-39=33', '36-33=3']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 |
hs_2
|
mult_heuristic
|
[
85,
24,
20,
56
] | 97 |
[
"85-24=61",
"56-20=36",
"61+36=97"
] |
Current State: 97:[85, 24, 20, 56], Operations: []
Exploring Operation: 85-24=61, Resulting Numbers: [20, 56, 61]
Generated Node #2: [20, 56, 61] from Operation: 85-24=61
Current State: 97:[20, 56, 61], Operations: ['85-24=61']
Exploring Operation: 56-20=36, Resulting Numbers: [61, 36]
Generated Node #3: [61, 36] from Operation: 56-20=36
Current State: 97:[61, 36], Operations: ['85-24=61', '56-20=36']
Exploring Operation: 61+36=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
Current State: 97:[85, 24, 20, 56], Operations: []
Exploring Operation: 20+56=76, Resulting Numbers: [85, 24, 76]
Generated Node #0,0: 97:[85, 24, 76] Operation: 20+56=76
Exploring Operation: 24+20=44, Resulting Numbers: [85, 56, 44]
Generated Node #0,1: 97:[85, 56, 44] Operation: 24+20=44
Exploring Operation: 24+56=80, Resulting Numbers: [85, 20, 80]
Generated Node #0,2: 97:[85, 20, 80] Operation: 24+56=80
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[85, 24, 76], Operations: ['20+56=76']
Exploring Operation: 85+24=109, Resulting Numbers: [76, 109]
Generated Node #0,0,0: 97:[76, 109] Operation: 85+24=109
Exploring Operation: 85-24=61, Resulting Numbers: [76, 61]
Generated Node #0,0,1: 97:[76, 61] Operation: 85-24=61
Exploring Operation: 24+76=100, Resulting Numbers: [85, 100]
Generated Node #0,0,2: 97:[85, 100] Operation: 24+76=100
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 97:[85, 100], Operations: ['20+56=76', '24+76=100']
Exploring Operation: 85+100=185, Resulting Numbers: [185]
185,97 unequal: No Solution
Exploring Operation: 85*100=8500, Resulting Numbers: [8500]
8500,97 unequal: No Solution
Exploring Operation: 100-85=15, Resulting Numbers: [15]
15,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[76, 109], Operations: ['20+56=76', '85+24=109']
Exploring Operation: 76+109=185, Resulting Numbers: [185]
185,97 unequal: No Solution
Exploring Operation: 109-76=33, Resulting Numbers: [33]
33,97 unequal: No Solution
Exploring Operation: 76*109=8284, Resulting Numbers: [8284]
8284,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 97:[76, 61], Operations: ['20+56=76', '85-24=61']
Exploring Operation: 76-61=15, Resulting Numbers: [15]
15,97 unequal: No Solution
Exploring Operation: 76+61=137, Resulting Numbers: [137]
137,97 unequal: No Solution
Exploring Operation: 76*61=4636, Resulting Numbers: [4636]
4636,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[85, 56, 44], Operations: ['24+20=44']
Exploring Operation: 56+44=100, Resulting Numbers: [85, 100]
Generated Node #0,1,0: 97:[85, 100] Operation: 56+44=100
Exploring Operation: 85+44=129, Resulting Numbers: [56, 129]
Generated Node #0,1,1: 97:[56, 129] Operation: 85+44=129
Exploring Operation: 85+56=141, Resulting Numbers: [44, 141]
Generated Node #0,1,2: 97:[44, 141] Operation: 85+56=141
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 97:[85, 100], Operations: ['24+20=44', '56+44=100']
Exploring Operation: 100-85=15, Resulting Numbers: [15]
15,97 unequal: No Solution
Exploring Operation: 85*100=8500, Resulting Numbers: [8500]
8500,97 unequal: No Solution
Exploring Operation: 85+100=185, Resulting Numbers: [185]
185,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 97:[56, 129], Operations: ['24+20=44', '85+44=129']
Exploring Operation: 56+129=185, Resulting Numbers: [185]
185,97 unequal: No Solution
Exploring Operation: 56*129=7224, Resulting Numbers: [7224]
7224,97 unequal: No Solution
Exploring Operation: 129-56=73, Resulting Numbers: [73]
73,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 97:[44, 141], Operations: ['24+20=44', '85+56=141']
Exploring Operation: 44*141=6204, Resulting Numbers: [6204]
6204,97 unequal: No Solution
Exploring Operation: 44+141=185, Resulting Numbers: [185]
185,97 unequal: No Solution
Exploring Operation: 141-44=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[85, 24, 20, 56], Operations: []
Exploring Operation: 24+20=44, Resulting Numbers: [85, 56, 44]
Generated Node #0,1: 97:[85, 56, 44] Operation: 24+20=44
Moving to Node #0,1
Current State: 97:[85, 56, 44], Operations: ['24+20=44']
Exploring Operation: 85+56=141, Resulting Numbers: [44, 141]
Generated Node #0,1,2: 97:[44, 141] Operation: 85+56=141
Moving to Node #0,1,2
Current State: 97:[44, 141], Operations: ['24+20=44', '85+56=141']
Exploring Operation: 141-44=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.97309 |
hs_3
|
sum_heuristic
|
[
48,
51,
84,
27
] | 37 |
[
"51-48=3",
"84+27=111",
"111/3=37"
] |
Current State: 37:[48, 51, 84, 27], Operations: []
Exploring Operation: 51-48=3, Resulting Numbers: [84, 27, 3]
Generated Node #2: [84, 27, 3] from Operation: 51-48=3
Current State: 37:[84, 27, 3], Operations: ['51-48=3']
Exploring Operation: 84+27=111, Resulting Numbers: [3, 111]
Generated Node #3: [3, 111] from Operation: 84+27=111
Current State: 37:[3, 111], Operations: ['51-48=3', '84+27=111']
Exploring Operation: 111/3=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
Current State: 37:[48, 51, 84, 27], Operations: []
Exploring Operation: 51-27=24, Resulting Numbers: [48, 84, 24]
Generated Node #0,0: 37:[48, 84, 24] Operation: 51-27=24
Exploring Operation: 48-27=21, Resulting Numbers: [51, 84, 21]
Generated Node #0,1: 37:[51, 84, 21] Operation: 48-27=21
Exploring Operation: 84-48=36, Resulting Numbers: [51, 27, 36]
Generated Node #0,2: 37:[51, 27, 36] Operation: 84-48=36
Exploring Operation: 84-27=57, Resulting Numbers: [48, 51, 57]
Generated Node #0,3: 37:[48, 51, 57] Operation: 84-27=57
Exploring Operation: 84-51=33, Resulting Numbers: [48, 27, 33]
Generated Node #0,4: 37:[48, 27, 33] Operation: 84-51=33
Moving to Node #0,2
Current State: 37:[51, 27, 36], Operations: ['84-48=36']
Exploring Operation: 36-27=9, Resulting Numbers: [51, 9]
Generated Node #0,2,0: 37:[51, 9] Operation: 36-27=9
Exploring Operation: 51-36=15, Resulting Numbers: [27, 15]
Generated Node #0,2,1: 37:[27, 15] Operation: 51-36=15
Exploring Operation: 51-27=24, Resulting Numbers: [36, 24]
Generated Node #0,2,2: 37:[36, 24] Operation: 51-27=24
Exploring Operation: 27+36=63, Resulting Numbers: [51, 63]
Generated Node #0,2,3: 37:[51, 63] Operation: 27+36=63
Exploring Operation: 51+27=78, Resulting Numbers: [36, 78]
Generated Node #0,2,4: 37:[36, 78] Operation: 51+27=78
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 37:[36, 24], Operations: ['84-48=36', '51-27=24']
Exploring Operation: 36+24=60, Resulting Numbers: [60]
60,37 unequal: No Solution
Exploring Operation: 36*24=864, Resulting Numbers: [864]
864,37 unequal: No Solution
Exploring Operation: 36-24=12, Resulting Numbers: [12]
12,37 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 #0,2,1
Current State: 37:[27, 15], Operations: ['84-48=36', '51-36=15']
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,37 unequal: No Solution
Exploring Operation: 27+15=42, Resulting Numbers: [42]
42,37 unequal: No Solution
Exploring Operation: 27*15=405, Resulting Numbers: [405]
405,37 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 #0,2,3
Current State: 37:[51, 63], Operations: ['84-48=36', '27+36=63']
Exploring Operation: 51+63=114, Resulting Numbers: [114]
114,37 unequal: No Solution
Exploring Operation: 51*63=3213, Resulting Numbers: [3213]
3213,37 unequal: No Solution
Exploring Operation: 63-51=12, Resulting Numbers: [12]
12,37 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 #0,2,0
Current State: 37:[51, 9], Operations: ['84-48=36', '36-27=9']
Exploring Operation: 51-9=42, Resulting Numbers: [42]
42,37 unequal: No Solution
Exploring Operation: 51*9=459, Resulting Numbers: [459]
459,37 unequal: No Solution
Exploring Operation: 51+9=60, Resulting Numbers: [60]
60,37 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 #0,2,4
Current State: 37:[36, 78], Operations: ['84-48=36', '51+27=78']
Exploring Operation: 78-36=42, Resulting Numbers: [42]
42,37 unequal: No Solution
Exploring Operation: 36*78=2808, Resulting Numbers: [2808]
2808,37 unequal: No Solution
Exploring Operation: 36+78=114, Resulting Numbers: [114]
114,37 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: 37:[48, 27, 33], Operations: ['84-51=33']
Exploring Operation: 48-33=15, Resulting Numbers: [27, 15]
Generated Node #0,4,0: 37:[27, 15] Operation: 48-33=15
Exploring Operation: 48-27=21, Resulting Numbers: [33, 21]
Generated Node #0,4,1: 37:[33, 21] Operation: 48-27=21
Exploring Operation: 27+33=60, Resulting Numbers: [48, 60]
Generated Node #0,4,2: 37:[48, 60] Operation: 27+33=60
Exploring Operation: 33-27=6, Resulting Numbers: [48, 6]
Generated Node #0,4,3: 37:[48, 6] Operation: 33-27=6
Exploring Operation: 48+27=75, Resulting Numbers: [33, 75]
Generated Node #0,4,4: 37:[33, 75] Operation: 48+27=75
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 37:[33, 21], Operations: ['84-51=33', '48-27=21']
Exploring Operation: 33+21=54, Resulting Numbers: [54]
54,37 unequal: No Solution
Exploring Operation: 33*21=693, Resulting Numbers: [693]
693,37 unequal: No Solution
Exploring Operation: 33-21=12, Resulting Numbers: [12]
12,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 37:[27, 15], Operations: ['84-51=33', '48-33=15']
Exploring Operation: 27+15=42, Resulting Numbers: [42]
42,37 unequal: No Solution
Exploring Operation: 27*15=405, Resulting Numbers: [405]
405,37 unequal: No Solution
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 37:[48, 60], Operations: ['84-51=33', '27+33=60']
Exploring Operation: 48+60=108, Resulting Numbers: [108]
108,37 unequal: No Solution
Exploring Operation: 48*60=2880, Resulting Numbers: [2880]
2880,37 unequal: No Solution
Exploring Operation: 60-48=12, Resulting Numbers: [12]
12,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 37:[48, 6], Operations: ['84-51=33', '33-27=6']
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,37 unequal: No Solution
Exploring Operation: 48*6=288, Resulting Numbers: [288]
288,37 unequal: No Solution
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,37 unequal: No Solution
Exploring Operation: 48+6=54, Resulting Numbers: [54]
54,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 37:[33, 75], Operations: ['84-51=33', '48+27=75']
Exploring Operation: 33+75=108, Resulting Numbers: [108]
108,37 unequal: No Solution
Exploring Operation: 75-33=42, Resulting Numbers: [42]
42,37 unequal: No Solution
Exploring Operation: 33*75=2475, Resulting Numbers: [2475]
2475,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 37:[48, 51, 57], Operations: ['84-27=57']
Exploring Operation: 51-48=3, Resulting Numbers: [57, 3]
Generated Node #0,3,0: 37:[57, 3] Operation: 51-48=3
Exploring Operation: 57-51=6, Resulting Numbers: [48, 6]
Generated Node #0,3,1: 37:[48, 6] Operation: 57-51=6
Exploring Operation: 57-48=9, Resulting Numbers: [51, 9]
Generated Node #0,3,2: 37:[51, 9] Operation: 57-48=9
Exploring Operation: 48+57=105, Resulting Numbers: [51, 105]
Generated Node #0,3,3: 37:[51, 105] Operation: 48+57=105
Exploring Operation: 48+51=99, Resulting Numbers: [57, 99]
Generated Node #0,3,4: 37:[57, 99] Operation: 48+51=99
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 37:[48, 6], Operations: ['84-27=57', '57-51=6']
Exploring Operation: 48+6=54, Resulting Numbers: [54]
54,37 unequal: No Solution
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,37 unequal: No Solution
Exploring Operation: 48*6=288, Resulting Numbers: [288]
288,37 unequal: No Solution
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 37:[51, 9], Operations: ['84-27=57', '57-48=9']
Exploring Operation: 51+9=60, Resulting Numbers: [60]
60,37 unequal: No Solution
Exploring Operation: 51*9=459, Resulting Numbers: [459]
459,37 unequal: No Solution
Exploring Operation: 51-9=42, Resulting Numbers: [42]
42,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 37:[57, 3], Operations: ['84-27=57', '51-48=3']
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,37 unequal: No Solution
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,37 unequal: No Solution
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,37 unequal: No Solution
Exploring Operation: 57*3=171, Resulting Numbers: [171]
171,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 37:[51, 105], Operations: ['84-27=57', '48+57=105']
Exploring Operation: 51+105=156, Resulting Numbers: [156]
156,37 unequal: No Solution
Exploring Operation: 105-51=54, Resulting Numbers: [54]
54,37 unequal: No Solution
Exploring Operation: 51*105=5355, Resulting Numbers: [5355]
5355,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 37:[57, 99], Operations: ['84-27=57', '48+51=99']
Exploring Operation: 57*99=5643, Resulting Numbers: [5643]
5643,37 unequal: No Solution
Exploring Operation: 99-57=42, Resulting Numbers: [42]
42,37 unequal: No Solution
Exploring Operation: 57+99=156, Resulting Numbers: [156]
156,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 37:[48, 84, 24], Operations: ['51-27=24']
Exploring Operation: 48+24=72, Resulting Numbers: [84, 72]
Generated Node #0,0,0: 37:[84, 72] Operation: 48+24=72
Exploring Operation: 48/24=2, Resulting Numbers: [84, 2]
Generated Node #0,0,1: 37:[84, 2] Operation: 48/24=2
Exploring Operation: 84-48=36, Resulting Numbers: [24, 36]
Generated Node #0,0,2: 37:[24, 36] Operation: 84-48=36
Exploring Operation: 48-24=24, Resulting Numbers: [84, 24]
Generated Node #0,0,3: 37:[84, 24] Operation: 48-24=24
Exploring Operation: 84-24=60, Resulting Numbers: [48, 60]
Generated Node #0,0,4: 37:[48, 60] Operation: 84-24=60
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 37:[24, 36], Operations: ['51-27=24', '84-48=36']
Exploring Operation: 24+36=60, Resulting Numbers: [60]
60,37 unequal: No Solution
Exploring Operation: 36-24=12, Resulting Numbers: [12]
12,37 unequal: No Solution
Exploring Operation: 24*36=864, Resulting Numbers: [864]
864,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 37:[48, 60], Operations: ['51-27=24', '84-24=60']
Exploring Operation: 48+60=108, Resulting Numbers: [108]
108,37 unequal: No Solution
Exploring Operation: 60-48=12, Resulting Numbers: [12]
12,37 unequal: No Solution
Exploring Operation: 48*60=2880, Resulting Numbers: [2880]
2880,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 37:[84, 24], Operations: ['51-27=24', '48-24=24']
Exploring Operation: 84-24=60, Resulting Numbers: [60]
60,37 unequal: No Solution
Exploring Operation: 84*24=2016, Resulting Numbers: [2016]
2016,37 unequal: No Solution
Exploring Operation: 84+24=108, Resulting Numbers: [108]
108,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[84, 72], Operations: ['51-27=24', '48+24=72']
Exploring Operation: 84*72=6048, Resulting Numbers: [6048]
6048,37 unequal: No Solution
Exploring Operation: 84-72=12, Resulting Numbers: [12]
12,37 unequal: No Solution
Exploring Operation: 84+72=156, Resulting Numbers: [156]
156,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 37:[84, 2], Operations: ['51-27=24', '48/24=2']
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,37 unequal: No Solution
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,37 unequal: No Solution
Exploring Operation: 84+2=86, Resulting Numbers: [86]
86,37 unequal: No Solution
Exploring Operation: 84*2=168, Resulting Numbers: [168]
168,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 37:[51, 84, 21], Operations: ['48-27=21']
Exploring Operation: 84-21=63, Resulting Numbers: [51, 63]
Generated Node #0,1,0: 37:[51, 63] Operation: 84-21=63
Exploring Operation: 51-21=30, Resulting Numbers: [84, 30]
Generated Node #0,1,1: 37:[84, 30] Operation: 51-21=30
Exploring Operation: 51+21=72, Resulting Numbers: [84, 72]
Generated Node #0,1,2: 37:[84, 72] Operation: 51+21=72
Exploring Operation: 84/21=4, Resulting Numbers: [51, 4]
Generated Node #0,1,3: 37:[51, 4] Operation: 84/21=4
Exploring Operation: 84-51=33, Resulting Numbers: [21, 33]
Generated Node #0,1,4: 37:[21, 33] Operation: 84-51=33
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 37:[21, 33], Operations: ['48-27=21', '84-51=33']
Exploring Operation: 33-21=12, Resulting Numbers: [12]
12,37 unequal: No Solution
Exploring Operation: 21*33=693, Resulting Numbers: [693]
693,37 unequal: No Solution
Exploring Operation: 21+33=54, Resulting Numbers: [54]
54,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 37:[51, 63], Operations: ['48-27=21', '84-21=63']
Exploring Operation: 51+63=114, Resulting Numbers: [114]
114,37 unequal: No Solution
Exploring Operation: 63-51=12, Resulting Numbers: [12]
12,37 unequal: No Solution
Exploring Operation: 51*63=3213, Resulting Numbers: [3213]
3213,37 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 #0,1,3
Current State: 37:[51, 4], Operations: ['48-27=21', '84/21=4']
Exploring Operation: 51+4=55, Resulting Numbers: [55]
55,37 unequal: No Solution
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,37 unequal: No Solution
Exploring Operation: 51*4=204, Resulting Numbers: [204]
204,37 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 #0,1,1
Current State: 37:[84, 30], Operations: ['48-27=21', '51-21=30']
Exploring Operation: 84*30=2520, Resulting Numbers: [2520]
2520,37 unequal: No Solution
Exploring Operation: 84-30=54, Resulting Numbers: [54]
54,37 unequal: No Solution
Exploring Operation: 84+30=114, Resulting Numbers: [114]
114,37 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 #0,1,2
Current State: 37:[84, 72], Operations: ['48-27=21', '51+21=72']
Exploring Operation: 84-72=12, Resulting Numbers: [12]
12,37 unequal: No Solution
Exploring Operation: 84*72=6048, Resulting Numbers: [6048]
6048,37 unequal: No Solution
Exploring Operation: 84+72=156, Resulting Numbers: [156]
156,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_5
|
sum_heuristic
|
[
50,
38,
36,
88
] | 19 |
[
"50+36=86",
"88-86=2",
"38/2=19"
] |
Current State: 19:[50, 38, 36, 88], Operations: []
Exploring Operation: 50+36=86, Resulting Numbers: [38, 88, 86]
Generated Node #2: [38, 88, 86] from Operation: 50+36=86
Current State: 19:[38, 88, 86], Operations: ['50+36=86']
Exploring Operation: 88-86=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 88-86=2
Current State: 19:[38, 2], Operations: ['50+36=86', '88-86=2']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
Current State: 19:[50, 38, 36, 88], Operations: []
Exploring Operation: 50-38=12, Resulting Numbers: [36, 88, 12]
Generated Node #0,0: 19:[36, 88, 12] Operation: 50-38=12
Exploring Operation: 88-38=50, Resulting Numbers: [50, 36, 50]
Generated Node #0,1: 19:[50, 36, 50] Operation: 88-38=50
Exploring Operation: 88-36=52, Resulting Numbers: [50, 38, 52]
Generated Node #0,2: 19:[50, 38, 52] Operation: 88-36=52
Exploring Operation: 88-50=38, Resulting Numbers: [38, 36, 38]
Generated Node #0,3: 19:[38, 36, 38] Operation: 88-50=38
Moving to Node #0,3
Current State: 19:[38, 36, 38], Operations: ['88-50=38']
Exploring Operation: 38/38=1, Resulting Numbers: [36, 1]
Generated Node #0,3,0: 19:[36, 1] Operation: 38/38=1
Exploring Operation: 38-36=2, Resulting Numbers: [38, 2]
Generated Node #0,3,1: 19:[38, 2] Operation: 38-36=2
Exploring Operation: 38-36=2, Resulting Numbers: [38, 2]
Generated Node #0,3,2: 19:[38, 2] Operation: 38-36=2
Exploring Operation: 38-38=0, Resulting Numbers: [36, 0]
Generated Node #0,3,3: 19:[36, 0] Operation: 38-38=0
Moving to Node #0,1
Current State: 19:[50, 36, 50], Operations: ['88-38=50']
Exploring Operation: 50-36=14, Resulting Numbers: [50, 14]
Generated Node #0,1,0: 19:[50, 14] Operation: 50-36=14
Exploring Operation: 50/50=1, Resulting Numbers: [36, 1]
Generated Node #0,1,1: 19:[36, 1] Operation: 50/50=1
Exploring Operation: 50-36=14, Resulting Numbers: [50, 14]
Generated Node #0,1,2: 19:[50, 14] Operation: 50-36=14
Exploring Operation: 50-50=0, Resulting Numbers: [36, 0]
Generated Node #0,1,3: 19:[36, 0] Operation: 50-50=0
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 19:[36, 1], Operations: ['88-38=50', '50/50=1']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,19 unequal: No Solution
Exploring Operation: 36/1=36, Resulting Numbers: [36]
36,19 unequal: No Solution
Exploring Operation: 36*1=36, Resulting Numbers: [36]
36,19 unequal: No Solution
Exploring Operation: 36+1=37, Resulting Numbers: [37]
37,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 19:[50, 14], Operations: ['88-38=50', '50-36=14']
Exploring Operation: 50+14=64, Resulting Numbers: [64]
64,19 unequal: No Solution
Exploring Operation: 50*14=700, Resulting Numbers: [700]
700,19 unequal: No Solution
Exploring Operation: 50-14=36, Resulting Numbers: [36]
36,19 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:[50, 14], Operations: ['88-38=50', '50-36=14']
Exploring Operation: 50*14=700, Resulting Numbers: [700]
700,19 unequal: No Solution
Exploring Operation: 50+14=64, Resulting Numbers: [64]
64,19 unequal: No Solution
Exploring Operation: 50-14=36, Resulting Numbers: [36]
36,19 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 #0,1,3
Current State: 19:[36, 0], Operations: ['88-38=50', '50-50=0']
Exploring Operation: 36+0=36, Resulting Numbers: [36]
36,19 unequal: No Solution
Exploring Operation: 36*0=0, Resulting Numbers: [0]
0,19 unequal: No Solution
Exploring Operation: 36-0=36, Resulting Numbers: [36]
36,19 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: 19:[50, 38, 52], Operations: ['88-36=52']
Exploring Operation: 50+38=88, Resulting Numbers: [52, 88]
Generated Node #0,2,0: 19:[52, 88] Operation: 50+38=88
Exploring Operation: 52-50=2, Resulting Numbers: [38, 2]
Generated Node #0,2,1: 19:[38, 2] Operation: 52-50=2
Exploring Operation: 52-38=14, Resulting Numbers: [50, 14]
Generated Node #0,2,2: 19:[50, 14] Operation: 52-38=14
Exploring Operation: 50-38=12, Resulting Numbers: [52, 12]
Generated Node #0,2,3: 19:[52, 12] Operation: 50-38=12
Moving to Node #0,0
Current State: 19:[36, 88, 12], Operations: ['50-38=12']
Exploring Operation: 88-36=52, Resulting Numbers: [12, 52]
Generated Node #0,0,0: 19:[12, 52] Operation: 88-36=52
Exploring Operation: 36-12=24, Resulting Numbers: [88, 24]
Generated Node #0,0,1: 19:[88, 24] Operation: 36-12=24
Exploring Operation: 36/12=3, Resulting Numbers: [88, 3]
Generated Node #0,0,2: 19:[88, 3] Operation: 36/12=3
Exploring Operation: 88-12=76, Resulting Numbers: [36, 76]
Generated Node #0,0,3: 19:[36, 76] Operation: 88-12=76
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 19:[12, 52], Operations: ['50-38=12', '88-36=52']
Exploring Operation: 12+52=64, Resulting Numbers: [64]
64,19 unequal: No Solution
Exploring Operation: 12*52=624, Resulting Numbers: [624]
624,19 unequal: No Solution
Exploring Operation: 52-12=40, Resulting Numbers: [40]
40,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 19:[88, 24], Operations: ['50-38=12', '36-12=24']
Exploring Operation: 88+24=112, Resulting Numbers: [112]
112,19 unequal: No Solution
Exploring Operation: 88-24=64, Resulting Numbers: [64]
64,19 unequal: No Solution
Exploring Operation: 88*24=2112, Resulting Numbers: [2112]
2112,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 19:[36, 76], Operations: ['50-38=12', '88-12=76']
Exploring Operation: 36*76=2736, Resulting Numbers: [2736]
2736,19 unequal: No Solution
Exploring Operation: 76-36=40, Resulting Numbers: [40]
40,19 unequal: No Solution
Exploring Operation: 36+76=112, Resulting Numbers: [112]
112,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 19:[88, 3], Operations: ['50-38=12', '36/12=3']
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,19 unequal: No Solution
Exploring Operation: 88*3=264, Resulting Numbers: [264]
264,19 unequal: No Solution
Exploring Operation: 88+3=91, Resulting Numbers: [91]
91,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 19:[36, 1], Operations: ['88-50=38', '38/38=1']
Exploring Operation: 36+1=37, Resulting Numbers: [37]
37,19 unequal: No Solution
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,19 unequal: No Solution
Exploring Operation: 36*1=36, Resulting Numbers: [36]
36,19 unequal: No Solution
Exploring Operation: 36/1=36, Resulting Numbers: [36]
36,19 unequal: No Solution
Moving to Node #0,3,2
Current State: 19:[38, 2], Operations: ['88-50=38', '38-36=2']
Exploring Operation: 38*2=76, Resulting Numbers: [76]
76,19 unequal: No Solution
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[50, 38, 36, 88], Operations: []
Exploring Operation: 88-50=38, Resulting Numbers: [38, 36, 38]
Generated Node #0,3: 19:[38, 36, 38] Operation: 88-50=38
Moving to Node #0,3
Current State: 19:[38, 36, 38], Operations: ['88-50=38']
Exploring Operation: 38-36=2, Resulting Numbers: [38, 2]
Generated Node #0,3,2: 19:[38, 2] Operation: 38-36=2
Moving to Node #0,3,2
Current State: 19:[38, 2], Operations: ['88-50=38', '38-36=2']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 0.952257 |
hs_4
|
mult_heuristic
|
[
45,
69,
38,
60
] | 63 |
[
"45+69=114",
"114/38=3",
"60+3=63"
] |
Current State: 63:[45, 69, 38, 60], Operations: []
Exploring Operation: 45+69=114, Resulting Numbers: [38, 60, 114]
Generated Node #2: [38, 60, 114] from Operation: 45+69=114
Current State: 63:[38, 60, 114], Operations: ['45+69=114']
Exploring Operation: 114/38=3, Resulting Numbers: [60, 3]
Generated Node #3: [60, 3] from Operation: 114/38=3
Current State: 63:[60, 3], Operations: ['45+69=114', '114/38=3']
Exploring Operation: 60+3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
Current State: 63:[45, 69, 38, 60], Operations: []
Exploring Operation: 69-45=24, Resulting Numbers: [38, 60, 24]
Generated Node #0,0: 63:[38, 60, 24] Operation: 69-45=24
Exploring Operation: 45-38=7, Resulting Numbers: [69, 60, 7]
Generated Node #0,1: 63:[69, 60, 7] Operation: 45-38=7
Moving to Node #0,1
Current State: 63:[69, 60, 7], Operations: ['45-38=7']
Exploring Operation: 69-60=9, Resulting Numbers: [7, 9]
Generated Node #0,1,0: 63:[7, 9] Operation: 69-60=9
Exploring Operation: 69-7=62, Resulting Numbers: [60, 62]
Generated Node #0,1,1: 63:[60, 62] Operation: 69-7=62
Moving to Node #0,0
Current State: 63:[38, 60, 24], Operations: ['69-45=24']
Exploring Operation: 38+24=62, Resulting Numbers: [60, 62]
Generated Node #0,0,0: 63:[60, 62] Operation: 38+24=62
Exploring Operation: 60-38=22, Resulting Numbers: [24, 22]
Generated Node #0,0,1: 63:[24, 22] Operation: 60-38=22
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 63:[60, 62], Operations: ['69-45=24', '38+24=62']
Exploring Operation: 62-60=2, Resulting Numbers: [2]
2,63 unequal: No Solution
Exploring Operation: 60+62=122, Resulting Numbers: [122]
122,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 63:[24, 22], Operations: ['69-45=24', '60-38=22']
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,63 unequal: No Solution
Exploring Operation: 24+22=46, Resulting Numbers: [46]
46,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 63:[7, 9], Operations: ['45-38=7', '69-60=9']
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,63 unequal: No Solution
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[45, 69, 38, 60], Operations: []
Exploring Operation: 45-38=7, Resulting Numbers: [69, 60, 7]
Generated Node #0,1: 63:[69, 60, 7] Operation: 45-38=7
Moving to Node #0,1
Current State: 63:[69, 60, 7], Operations: ['45-38=7']
Exploring Operation: 69-60=9, Resulting Numbers: [7, 9]
Generated Node #0,1,0: 63:[7, 9] Operation: 69-60=9
Moving to Node #0,1,0
Current State: 63:[7, 9], Operations: ['45-38=7', '69-60=9']
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 0.986111 |
hs_2
|
mult_heuristic
|
[
89,
86,
93,
4
] | 94 |
[
"89-86=3",
"93+4=97",
"97-3=94"
] |
Current State: 94:[89, 86, 93, 4], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [93, 4, 3]
Generated Node #2: [93, 4, 3] from Operation: 89-86=3
Current State: 94:[93, 4, 3], Operations: ['89-86=3']
Exploring Operation: 93+4=97, Resulting Numbers: [3, 97]
Generated Node #3: [3, 97] from Operation: 93+4=97
Current State: 94:[3, 97], Operations: ['89-86=3', '93+4=97']
Exploring Operation: 97-3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
Current State: 94:[89, 86, 93, 4], Operations: []
Exploring Operation: 89+4=93, Resulting Numbers: [86, 93, 93]
Generated Node #0,0: 94:[86, 93, 93] Operation: 89+4=93
Exploring Operation: 89-86=3, Resulting Numbers: [93, 4, 3]
Generated Node #0,1: 94:[93, 4, 3] Operation: 89-86=3
Moving to Node #0,1
Current State: 94:[93, 4, 3], Operations: ['89-86=3']
Exploring Operation: 93+4=97, Resulting Numbers: [3, 97]
Generated Node #0,1,0: 94:[3, 97] Operation: 93+4=97
Exploring Operation: 4-3=1, Resulting Numbers: [93, 1]
Generated Node #0,1,1: 94:[93, 1] Operation: 4-3=1
Moving to Node #0,0
Current State: 94:[86, 93, 93], Operations: ['89+4=93']
Exploring Operation: 93-86=7, Resulting Numbers: [93, 7]
Generated Node #0,0,0: 94:[93, 7] Operation: 93-86=7
Exploring Operation: 93-86=7, Resulting Numbers: [93, 7]
Generated Node #0,0,1: 94:[93, 7] Operation: 93-86=7
Moving to Node #0,1,1
Current State: 94:[93, 1], Operations: ['89-86=3', '4-3=1']
Exploring Operation: 93+1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[89, 86, 93, 4], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [93, 4, 3]
Generated Node #0,1: 94:[93, 4, 3] Operation: 89-86=3
Moving to Node #0,1
Current State: 94:[93, 4, 3], Operations: ['89-86=3']
Exploring Operation: 4-3=1, Resulting Numbers: [93, 1]
Generated Node #0,1,1: 94:[93, 1] Operation: 4-3=1
Moving to Node #0,1,1
Current State: 94:[93, 1], Operations: ['89-86=3', '4-3=1']
Exploring Operation: 93+1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 0.990451 |
hs_2
|
mult_heuristic
|
[
3,
12,
2,
27
] | 81 |
[
"12/2=6",
"6-3=3",
"27*3=81"
] |
Current State: 81:[3, 12, 2, 27], Operations: []
Exploring Operation: 12/2=6, Resulting Numbers: [3, 27, 6]
Generated Node #2: [3, 27, 6] from Operation: 12/2=6
Current State: 81:[3, 27, 6], Operations: ['12/2=6']
Exploring Operation: 6-3=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 6-3=3
Current State: 81:[27, 3], Operations: ['12/2=6', '6-3=3']
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
Current State: 81:[3, 12, 2, 27], Operations: []
Exploring Operation: 12-3=9, Resulting Numbers: [2, 27, 9]
Generated Node #0,0: 81:[2, 27, 9] Operation: 12-3=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[2, 27, 9], Operations: ['12-3=9']
Exploring Operation: 27/9=3, Resulting Numbers: [2, 3]
Generated Node #0,0,0: 81:[2, 3] Operation: 27/9=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 81:[2, 3], Operations: ['12-3=9', '27/9=3']
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
41,
23,
6,
4
] | 40 |
[
"41+23=64",
"6*4=24",
"64-24=40"
] |
Current State: 40:[41, 23, 6, 4], Operations: []
Exploring Operation: 41+23=64, Resulting Numbers: [6, 4, 64]
Generated Node #2: [6, 4, 64] from Operation: 41+23=64
Current State: 40:[6, 4, 64], Operations: ['41+23=64']
Exploring Operation: 6*4=24, Resulting Numbers: [64, 24]
Generated Node #3: [64, 24] from Operation: 6*4=24
Current State: 40:[64, 24], Operations: ['41+23=64', '6*4=24']
Exploring Operation: 64-24=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
Current State: 40:[41, 23, 6, 4], Operations: []
Exploring Operation: 6+4=10, Resulting Numbers: [41, 23, 10]
Generated Node #0,0: 40:[41, 23, 10] Operation: 6+4=10
Exploring Operation: 23-4=19, Resulting Numbers: [41, 6, 19]
Generated Node #0,1: 40:[41, 6, 19] Operation: 23-4=19
Exploring Operation: 41-23=18, Resulting Numbers: [6, 4, 18]
Generated Node #0,2: 40:[6, 4, 18] Operation: 41-23=18
Exploring Operation: 6-4=2, Resulting Numbers: [41, 23, 2]
Generated Node #0,3: 40:[41, 23, 2] Operation: 6-4=2
Exploring Operation: 23-6=17, Resulting Numbers: [41, 4, 17]
Generated Node #0,4: 40:[41, 4, 17] Operation: 23-6=17
Moving to Node #0,1
Current State: 40:[41, 6, 19], Operations: ['23-4=19']
Exploring Operation: 6+19=25, Resulting Numbers: [41, 25]
Generated Node #0,1,0: 40:[41, 25] Operation: 6+19=25
Exploring Operation: 41+6=47, Resulting Numbers: [19, 47]
Generated Node #0,1,1: 40:[19, 47] Operation: 41+6=47
Exploring Operation: 41-19=22, Resulting Numbers: [6, 22]
Generated Node #0,1,2: 40:[6, 22] Operation: 41-19=22
Exploring Operation: 19-6=13, Resulting Numbers: [41, 13]
Generated Node #0,1,3: 40:[41, 13] Operation: 19-6=13
Exploring Operation: 41-6=35, Resulting Numbers: [19, 35]
Generated Node #0,1,4: 40:[19, 35] Operation: 41-6=35
Moving to Node #0,2
Current State: 40:[6, 4, 18], Operations: ['41-23=18']
Exploring Operation: 18/6=3, Resulting Numbers: [4, 3]
Generated Node #0,2,0: 40:[4, 3] Operation: 18/6=3
Exploring Operation: 4+18=22, Resulting Numbers: [6, 22]
Generated Node #0,2,1: 40:[6, 22] Operation: 4+18=22
Exploring Operation: 6+4=10, Resulting Numbers: [18, 10]
Generated Node #0,2,2: 40:[18, 10] Operation: 6+4=10
Exploring Operation: 6-4=2, Resulting Numbers: [18, 2]
Generated Node #0,2,3: 40:[18, 2] Operation: 6-4=2
Exploring Operation: 18-6=12, Resulting Numbers: [4, 12]
Generated Node #0,2,4: 40:[4, 12] Operation: 18-6=12
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 40:[4, 3], Operations: ['41-23=18', '18/6=3']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,40 unequal: No Solution
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,40 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,40 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 #0,2,2
Current State: 40:[18, 10], Operations: ['41-23=18', '6+4=10']
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,40 unequal: No Solution
Exploring Operation: 18+10=28, Resulting Numbers: [28]
28,40 unequal: No Solution
Exploring Operation: 18*10=180, Resulting Numbers: [180]
180,40 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 #0,2,3
Current State: 40:[18, 2], Operations: ['41-23=18', '6-4=2']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,40 unequal: No Solution
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,40 unequal: No Solution
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,40 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,40 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 #0,2,4
Current State: 40:[4, 12], Operations: ['41-23=18', '18-6=12']
Exploring Operation: 4*12=48, Resulting Numbers: [48]
48,40 unequal: No Solution
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,40 unequal: No Solution
Exploring Operation: 12-4=8, Resulting Numbers: [8]
8,40 unequal: No Solution
Exploring Operation: 4+12=16, Resulting Numbers: [16]
16,40 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 #0,2,1
Current State: 40:[6, 22], Operations: ['41-23=18', '4+18=22']
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,40 unequal: No Solution
Exploring Operation: 6*22=132, Resulting Numbers: [132]
132,40 unequal: No Solution
Exploring Operation: 6+22=28, Resulting Numbers: [28]
28,40 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: 40:[41, 23, 10], Operations: ['6+4=10']
Exploring Operation: 41+10=51, Resulting Numbers: [23, 51]
Generated Node #0,0,0: 40:[23, 51] Operation: 41+10=51
Exploring Operation: 23+10=33, Resulting Numbers: [41, 33]
Generated Node #0,0,1: 40:[41, 33] Operation: 23+10=33
Exploring Operation: 41-23=18, Resulting Numbers: [10, 18]
Generated Node #0,0,2: 40:[10, 18] Operation: 41-23=18
Exploring Operation: 23-10=13, Resulting Numbers: [41, 13]
Generated Node #0,0,3: 40:[41, 13] Operation: 23-10=13
Exploring Operation: 41-10=31, Resulting Numbers: [23, 31]
Generated Node #0,0,4: 40:[23, 31] Operation: 41-10=31
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 40:[10, 18], Operations: ['6+4=10', '41-23=18']
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,40 unequal: No Solution
Exploring Operation: 10+18=28, Resulting Numbers: [28]
28,40 unequal: No Solution
Exploring Operation: 10*18=180, Resulting Numbers: [180]
180,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 40:[41, 13], Operations: ['6+4=10', '23-10=13']
Exploring Operation: 41+13=54, Resulting Numbers: [54]
54,40 unequal: No Solution
Exploring Operation: 41-13=28, Resulting Numbers: [28]
28,40 unequal: No Solution
Exploring Operation: 41*13=533, Resulting Numbers: [533]
533,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 40:[41, 33], Operations: ['6+4=10', '23+10=33']
Exploring Operation: 41-33=8, Resulting Numbers: [8]
8,40 unequal: No Solution
Exploring Operation: 41+33=74, Resulting Numbers: [74]
74,40 unequal: No Solution
Exploring Operation: 41*33=1353, Resulting Numbers: [1353]
1353,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 40:[23, 31], Operations: ['6+4=10', '41-10=31']
Exploring Operation: 23+31=54, Resulting Numbers: [54]
54,40 unequal: No Solution
Exploring Operation: 31-23=8, Resulting Numbers: [8]
8,40 unequal: No Solution
Exploring Operation: 23*31=713, Resulting Numbers: [713]
713,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 40:[23, 51], Operations: ['6+4=10', '41+10=51']
Exploring Operation: 23+51=74, Resulting Numbers: [74]
74,40 unequal: No Solution
Exploring Operation: 23*51=1173, Resulting Numbers: [1173]
1173,40 unequal: No Solution
Exploring Operation: 51-23=28, Resulting Numbers: [28]
28,40 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: 40:[41, 23, 2], Operations: ['6-4=2']
Exploring Operation: 23+2=25, Resulting Numbers: [41, 25]
Generated Node #0,3,0: 40:[41, 25] Operation: 23+2=25
Exploring Operation: 23-2=21, Resulting Numbers: [41, 21]
Generated Node #0,3,1: 40:[41, 21] Operation: 23-2=21
Exploring Operation: 41+2=43, Resulting Numbers: [23, 43]
Generated Node #0,3,2: 40:[23, 43] Operation: 41+2=43
Exploring Operation: 41-2=39, Resulting Numbers: [23, 39]
Generated Node #0,3,3: 40:[23, 39] Operation: 41-2=39
Exploring Operation: 41-23=18, Resulting Numbers: [2, 18]
Generated Node #0,3,4: 40:[2, 18] Operation: 41-23=18
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 40:[41, 21], Operations: ['6-4=2', '23-2=21']
Exploring Operation: 41*21=861, Resulting Numbers: [861]
861,40 unequal: No Solution
Exploring Operation: 41+21=62, Resulting Numbers: [62]
62,40 unequal: No Solution
Exploring Operation: 41-21=20, Resulting Numbers: [20]
20,40 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 #0,3,4
Current State: 40:[2, 18], Operations: ['6-4=2', '41-23=18']
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,40 unequal: No Solution
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,40 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,40 unequal: No Solution
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,40 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 #0,3,3
Current State: 40:[23, 39], Operations: ['6-4=2', '41-2=39']
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,40 unequal: No Solution
Exploring Operation: 23*39=897, Resulting Numbers: [897]
897,40 unequal: No Solution
Exploring Operation: 23+39=62, Resulting Numbers: [62]
62,40 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 #0,3,0
Current State: 40:[41, 25], Operations: ['6-4=2', '23+2=25']
Exploring Operation: 41+25=66, Resulting Numbers: [66]
66,40 unequal: No Solution
Exploring Operation: 41*25=1025, Resulting Numbers: [1025]
1025,40 unequal: No Solution
Exploring Operation: 41-25=16, Resulting Numbers: [16]
16,40 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 #0,3,2
Current State: 40:[23, 43], Operations: ['6-4=2', '41+2=43']
Exploring Operation: 23+43=66, Resulting Numbers: [66]
66,40 unequal: No Solution
Exploring Operation: 23*43=989, Resulting Numbers: [989]
989,40 unequal: No Solution
Exploring Operation: 43-23=20, Resulting Numbers: [20]
20,40 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: 40:[41, 4, 17], Operations: ['23-6=17']
Exploring Operation: 4+17=21, Resulting Numbers: [41, 21]
Generated Node #0,4,0: 40:[41, 21] Operation: 4+17=21
Exploring Operation: 17-4=13, Resulting Numbers: [41, 13]
Generated Node #0,4,1: 40:[41, 13] Operation: 17-4=13
Exploring Operation: 41+4=45, Resulting Numbers: [17, 45]
Generated Node #0,4,2: 40:[17, 45] Operation: 41+4=45
Exploring Operation: 41-17=24, Resulting Numbers: [4, 24]
Generated Node #0,4,3: 40:[4, 24] Operation: 41-17=24
Exploring Operation: 41-4=37, Resulting Numbers: [17, 37]
Generated Node #0,4,4: 40:[17, 37] Operation: 41-4=37
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 40:[41, 21], Operations: ['23-6=17', '4+17=21']
Exploring Operation: 41*21=861, Resulting Numbers: [861]
861,40 unequal: No Solution
Exploring Operation: 41+21=62, Resulting Numbers: [62]
62,40 unequal: No Solution
Exploring Operation: 41-21=20, Resulting Numbers: [20]
20,40 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 #0,4,1
Current State: 40:[41, 13], Operations: ['23-6=17', '17-4=13']
Exploring Operation: 41*13=533, Resulting Numbers: [533]
533,40 unequal: No Solution
Exploring Operation: 41-13=28, Resulting Numbers: [28]
28,40 unequal: No Solution
Exploring Operation: 41+13=54, Resulting Numbers: [54]
54,40 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 #0,4,3
Current State: 40:[4, 24], Operations: ['23-6=17', '41-17=24']
Exploring Operation: 4*24=96, Resulting Numbers: [96]
96,40 unequal: No Solution
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,40 unequal: No Solution
Exploring Operation: 4+24=28, Resulting Numbers: [28]
28,40 unequal: No Solution
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,40 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 #0,4,4
Current State: 40:[17, 37], Operations: ['23-6=17', '41-4=37']
Exploring Operation: 37-17=20, Resulting Numbers: [20]
20,40 unequal: No Solution
Exploring Operation: 17*37=629, Resulting Numbers: [629]
629,40 unequal: No Solution
Exploring Operation: 17+37=54, Resulting Numbers: [54]
54,40 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 #0,4,2
Current State: 40:[17, 45], Operations: ['23-6=17', '41+4=45']
Exploring Operation: 17+45=62, Resulting Numbers: [62]
62,40 unequal: No Solution
Exploring Operation: 45-17=28, Resulting Numbers: [28]
28,40 unequal: No Solution
Exploring Operation: 17*45=765, Resulting Numbers: [765]
765,40 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: 40:[6, 22], Operations: ['23-4=19', '41-19=22']
Exploring Operation: 6+22=28, Resulting Numbers: [28]
28,40 unequal: No Solution
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,40 unequal: No Solution
Exploring Operation: 6*22=132, Resulting Numbers: [132]
132,40 unequal: No Solution
Moving to Node #0,1,3
Current State: 40:[41, 13], Operations: ['23-4=19', '19-6=13']
Exploring Operation: 41*13=533, Resulting Numbers: [533]
533,40 unequal: No Solution
Exploring Operation: 41-13=28, Resulting Numbers: [28]
28,40 unequal: No Solution
Exploring Operation: 41+13=54, Resulting Numbers: [54]
54,40 unequal: No Solution
Moving to Node #0,1,0
Current State: 40:[41, 25], Operations: ['23-4=19', '6+19=25']
Exploring Operation: 41-25=16, Resulting Numbers: [16]
16,40 unequal: No Solution
Exploring Operation: 41+25=66, Resulting Numbers: [66]
66,40 unequal: No Solution
Exploring Operation: 41*25=1025, Resulting Numbers: [1025]
1025,40 unequal: No Solution
Moving to Node #0,1,4
Current State: 40:[19, 35], Operations: ['23-4=19', '41-6=35']
Exploring Operation: 19+35=54, Resulting Numbers: [54]
54,40 unequal: No Solution
Exploring Operation: 19*35=665, Resulting Numbers: [665]
665,40 unequal: No Solution
Exploring Operation: 35-19=16, Resulting Numbers: [16]
16,40 unequal: No Solution
Moving to Node #0,1,1
Current State: 40:[19, 47], Operations: ['23-4=19', '41+6=47']
Exploring Operation: 19*47=893, Resulting Numbers: [893]
893,40 unequal: No Solution
Exploring Operation: 47-19=28, Resulting Numbers: [28]
28,40 unequal: No Solution
Exploring Operation: 19+47=66, Resulting Numbers: [66]
66,40 unequal: No Solution
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
92,
7,
77,
22
] | 67 |
[
"92-22=70",
"70/7=10",
"77-10=67"
] |
Current State: 67:[92, 7, 77, 22], Operations: []
Exploring Operation: 92-22=70, Resulting Numbers: [7, 77, 70]
Generated Node #2: [7, 77, 70] from Operation: 92-22=70
Current State: 67:[7, 77, 70], Operations: ['92-22=70']
Exploring Operation: 70/7=10, Resulting Numbers: [77, 10]
Generated Node #3: [77, 10] from Operation: 70/7=10
Current State: 67:[77, 10], Operations: ['92-22=70', '70/7=10']
Exploring Operation: 77-10=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
Current State: 67:[92, 7, 77, 22], Operations: []
Exploring Operation: 7+22=29, Resulting Numbers: [92, 77, 29]
Generated Node #0,0: 67:[92, 77, 29] Operation: 7+22=29
Exploring Operation: 92+7=99, Resulting Numbers: [77, 22, 99]
Generated Node #0,1: 67:[77, 22, 99] Operation: 92+7=99
Exploring Operation: 92-7=85, Resulting Numbers: [77, 22, 85]
Generated Node #0,2: 67:[77, 22, 85] Operation: 92-7=85
Exploring Operation: 77-7=70, Resulting Numbers: [92, 22, 70]
Generated Node #0,3: 67:[92, 22, 70] Operation: 77-7=70
Exploring Operation: 92-22=70, Resulting Numbers: [7, 77, 70]
Generated Node #0,4: 67:[7, 77, 70] Operation: 92-22=70
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[92, 77, 29], Operations: ['7+22=29']
Exploring Operation: 77+29=106, Resulting Numbers: [92, 106]
Generated Node #0,0,0: 67:[92, 106] Operation: 77+29=106
Exploring Operation: 77-29=48, Resulting Numbers: [92, 48]
Generated Node #0,0,1: 67:[92, 48] Operation: 77-29=48
Exploring Operation: 92+29=121, Resulting Numbers: [77, 121]
Generated Node #0,0,2: 67:[77, 121] Operation: 92+29=121
Exploring Operation: 92-77=15, Resulting Numbers: [29, 15]
Generated Node #0,0,3: 67:[29, 15] Operation: 92-77=15
Exploring Operation: 92-29=63, Resulting Numbers: [77, 63]
Generated Node #0,0,4: 67:[77, 63] Operation: 92-29=63
Moving to Node #0,0,4
Current State: 67:[77, 63], Operations: ['7+22=29', '92-29=63']
Exploring Operation: 77-63=14, Resulting Numbers: [14]
14,67 unequal: No Solution
Exploring Operation: 77*63=4851, Resulting Numbers: [4851]
4851,67 unequal: No Solution
Exploring Operation: 77+63=140, Resulting Numbers: [140]
140,67 unequal: No Solution
Moving to Node #0,0,1
Current State: 67:[92, 48], Operations: ['7+22=29', '77-29=48']
Exploring Operation: 92-48=44, Resulting Numbers: [44]
44,67 unequal: No Solution
Exploring Operation: 92*48=4416, Resulting Numbers: [4416]
4416,67 unequal: No Solution
Exploring Operation: 92+48=140, Resulting Numbers: [140]
140,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[92, 106], Operations: ['7+22=29', '77+29=106']
Exploring Operation: 92*106=9752, Resulting Numbers: [9752]
9752,67 unequal: No Solution
Exploring Operation: 92+106=198, Resulting Numbers: [198]
198,67 unequal: No Solution
Exploring Operation: 106-92=14, Resulting Numbers: [14]
14,67 unequal: No Solution
Moving to Node #0,0,2
Current State: 67:[77, 121], Operations: ['7+22=29', '92+29=121']
Exploring Operation: 77+121=198, Resulting Numbers: [198]
198,67 unequal: No Solution
Exploring Operation: 77*121=9317, Resulting Numbers: [9317]
9317,67 unequal: No Solution
Exploring Operation: 121-77=44, Resulting Numbers: [44]
44,67 unequal: No Solution
Moving to Node #0,0,3
Current State: 67:[29, 15], Operations: ['7+22=29', '92-77=15']
Exploring Operation: 29-15=14, Resulting Numbers: [14]
14,67 unequal: No Solution
Exploring Operation: 29+15=44, Resulting Numbers: [44]
44,67 unequal: No Solution
Exploring Operation: 29*15=435, Resulting Numbers: [435]
435,67 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:[77, 22, 85], Operations: ['92-7=85']
Exploring Operation: 85-77=8, Resulting Numbers: [22, 8]
Generated Node #0,2,0: 67:[22, 8] Operation: 85-77=8
Exploring Operation: 77+22=99, Resulting Numbers: [85, 99]
Generated Node #0,2,1: 67:[85, 99] Operation: 77+22=99
Exploring Operation: 22+85=107, Resulting Numbers: [77, 107]
Generated Node #0,2,2: 67:[77, 107] Operation: 22+85=107
Exploring Operation: 85-22=63, Resulting Numbers: [77, 63]
Generated Node #0,2,3: 67:[77, 63] Operation: 85-22=63
Exploring Operation: 77-22=55, Resulting Numbers: [85, 55]
Generated Node #0,2,4: 67:[85, 55] Operation: 77-22=55
Moving to Node #0,2,3
Current State: 67:[77, 63], Operations: ['92-7=85', '85-22=63']
Exploring Operation: 77*63=4851, Resulting Numbers: [4851]
4851,67 unequal: No Solution
Exploring Operation: 77+63=140, Resulting Numbers: [140]
140,67 unequal: No Solution
Exploring Operation: 77-63=14, Resulting Numbers: [14]
14,67 unequal: No Solution
Moving to Node #0,2,4
Current State: 67:[85, 55], Operations: ['92-7=85', '77-22=55']
Exploring Operation: 85-55=30, Resulting Numbers: [30]
30,67 unequal: No Solution
Exploring Operation: 85+55=140, Resulting Numbers: [140]
140,67 unequal: No Solution
Exploring Operation: 85*55=4675, Resulting Numbers: [4675]
4675,67 unequal: No Solution
Moving to Node #0,2,1
Current State: 67:[85, 99], Operations: ['92-7=85', '77+22=99']
Exploring Operation: 85*99=8415, Resulting Numbers: [8415]
8415,67 unequal: No Solution
Exploring Operation: 99-85=14, Resulting Numbers: [14]
14,67 unequal: No Solution
Exploring Operation: 85+99=184, Resulting Numbers: [184]
184,67 unequal: No Solution
Moving to Node #0,2,2
Current State: 67:[77, 107], Operations: ['92-7=85', '22+85=107']
Exploring Operation: 107-77=30, Resulting Numbers: [30]
30,67 unequal: No Solution
Exploring Operation: 77+107=184, Resulting Numbers: [184]
184,67 unequal: No Solution
Exploring Operation: 77*107=8239, Resulting Numbers: [8239]
8239,67 unequal: No Solution
Moving to Node #0,2,0
Current State: 67:[22, 8], Operations: ['92-7=85', '85-77=8']
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,67 unequal: No Solution
Exploring Operation: 22+8=30, Resulting Numbers: [30]
30,67 unequal: No Solution
Exploring Operation: 22*8=176, Resulting Numbers: [176]
176,67 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 #0,3
Current State: 67:[92, 22, 70], Operations: ['77-7=70']
Exploring Operation: 92+22=114, Resulting Numbers: [70, 114]
Generated Node #0,3,0: 67:[70, 114] Operation: 92+22=114
Exploring Operation: 70-22=48, Resulting Numbers: [92, 48]
Generated Node #0,3,1: 67:[92, 48] Operation: 70-22=48
Exploring Operation: 22+70=92, Resulting Numbers: [92, 92]
Generated Node #0,3,2: 67:[92, 92] Operation: 22+70=92
Exploring Operation: 92-70=22, Resulting Numbers: [22, 22]
Generated Node #0,3,3: 67:[22, 22] Operation: 92-70=22
Exploring Operation: 92-22=70, Resulting Numbers: [70, 70]
Generated Node #0,3,4: 67:[70, 70] Operation: 92-22=70
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 67:[70, 70], Operations: ['77-7=70', '92-22=70']
Exploring Operation: 70+70=140, Resulting Numbers: [140]
140,67 unequal: No Solution
Exploring Operation: 70-70=0, Resulting Numbers: [0]
0,67 unequal: No Solution
Exploring Operation: 70/70=1, Resulting Numbers: [1]
1,67 unequal: No Solution
Exploring Operation: 70*70=4900, Resulting Numbers: [4900]
4900,67 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 #0,3,1
Current State: 67:[92, 48], Operations: ['77-7=70', '70-22=48']
Exploring Operation: 92-48=44, Resulting Numbers: [44]
44,67 unequal: No Solution
Exploring Operation: 92*48=4416, Resulting Numbers: [4416]
4416,67 unequal: No Solution
Exploring Operation: 92+48=140, Resulting Numbers: [140]
140,67 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 #0,3,0
Current State: 67:[70, 114], Operations: ['77-7=70', '92+22=114']
Exploring Operation: 70+114=184, Resulting Numbers: [184]
184,67 unequal: No Solution
Exploring Operation: 70*114=7980, Resulting Numbers: [7980]
7980,67 unequal: No Solution
Exploring Operation: 114-70=44, Resulting Numbers: [44]
44,67 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 #0,3,2
Current State: 67:[92, 92], Operations: ['77-7=70', '22+70=92']
Exploring Operation: 92*92=8464, Resulting Numbers: [8464]
8464,67 unequal: No Solution
Exploring Operation: 92-92=0, Resulting Numbers: [0]
0,67 unequal: No Solution
Exploring Operation: 92/92=1, Resulting Numbers: [1]
1,67 unequal: No Solution
Exploring Operation: 92+92=184, Resulting Numbers: [184]
184,67 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 #0,3,3
Current State: 67:[22, 22], Operations: ['77-7=70', '92-70=22']
Exploring Operation: 22*22=484, Resulting Numbers: [484]
484,67 unequal: No Solution
Exploring Operation: 22+22=44, Resulting Numbers: [44]
44,67 unequal: No Solution
Exploring Operation: 22/22=1, Resulting Numbers: [1]
1,67 unequal: No Solution
Exploring Operation: 22-22=0, Resulting Numbers: [0]
0,67 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 #0,4
Current State: 67:[7, 77, 70], Operations: ['92-22=70']
Exploring Operation: 77/7=11, Resulting Numbers: [70, 11]
Generated Node #0,4,0: 67:[70, 11] Operation: 77/7=11
Exploring Operation: 7+70=77, Resulting Numbers: [77, 77]
Generated Node #0,4,1: 67:[77, 77] Operation: 7+70=77
Exploring Operation: 70-7=63, Resulting Numbers: [77, 63]
Generated Node #0,4,2: 67:[77, 63] Operation: 70-7=63
Exploring Operation: 7+77=84, Resulting Numbers: [70, 84]
Generated Node #0,4,3: 67:[70, 84] Operation: 7+77=84
Exploring Operation: 77-7=70, Resulting Numbers: [70, 70]
Generated Node #0,4,4: 67:[70, 70] Operation: 77-7=70
Moving to Node #0,4,4
Current State: 67:[70, 70], Operations: ['92-22=70', '77-7=70']
Exploring Operation: 70/70=1, Resulting Numbers: [1]
1,67 unequal: No Solution
Exploring Operation: 70+70=140, Resulting Numbers: [140]
140,67 unequal: No Solution
Exploring Operation: 70*70=4900, Resulting Numbers: [4900]
4900,67 unequal: No Solution
Exploring Operation: 70-70=0, Resulting Numbers: [0]
0,67 unequal: No Solution
Moving to Node #0,4,2
Current State: 67:[77, 63], Operations: ['92-22=70', '70-7=63']
Exploring Operation: 77*63=4851, Resulting Numbers: [4851]
4851,67 unequal: No Solution
Exploring Operation: 77+63=140, Resulting Numbers: [140]
140,67 unequal: No Solution
Exploring Operation: 77-63=14, Resulting Numbers: [14]
14,67 unequal: No Solution
Moving to Node #0,4,1
Current State: 67:[77, 77], Operations: ['92-22=70', '7+70=77']
Exploring Operation: 77*77=5929, Resulting Numbers: [5929]
5929,67 unequal: No Solution
Exploring Operation: 77+77=154, Resulting Numbers: [154]
154,67 unequal: No Solution
Exploring Operation: 77/77=1, Resulting Numbers: [1]
1,67 unequal: No Solution
Exploring Operation: 77-77=0, Resulting Numbers: [0]
0,67 unequal: No Solution
Moving to Node #0,4,3
Current State: 67:[70, 84], Operations: ['92-22=70', '7+77=84']
Exploring Operation: 84-70=14, Resulting Numbers: [14]
14,67 unequal: No Solution
Exploring Operation: 70+84=154, Resulting Numbers: [154]
154,67 unequal: No Solution
Exploring Operation: 70*84=5880, Resulting Numbers: [5880]
5880,67 unequal: No Solution
Moving to Node #0,4,0
Current State: 67:[70, 11], Operations: ['92-22=70', '77/7=11']
Exploring Operation: 70-11=59, Resulting Numbers: [59]
59,67 unequal: No Solution
Exploring Operation: 70*11=770, Resulting Numbers: [770]
770,67 unequal: No Solution
Exploring Operation: 70+11=81, Resulting Numbers: [81]
81,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[77, 22, 99], Operations: ['92+7=99']
Exploring Operation: 22+99=121, Resulting Numbers: [77, 121]
Generated Node #0,1,0: 67:[77, 121] Operation: 22+99=121
Exploring Operation: 77+22=99, Resulting Numbers: [99, 99]
Generated Node #0,1,1: 67:[99, 99] Operation: 77+22=99
Exploring Operation: 77-22=55, Resulting Numbers: [99, 55]
Generated Node #0,1,2: 67:[99, 55] Operation: 77-22=55
Exploring Operation: 99-22=77, Resulting Numbers: [77, 77]
Generated Node #0,1,3: 67:[77, 77] Operation: 99-22=77
Exploring Operation: 99-77=22, Resulting Numbers: [22, 22]
Generated Node #0,1,4: 67:[22, 22] Operation: 99-77=22
Moving to Node #0,1,3
Current State: 67:[77, 77], Operations: ['92+7=99', '99-22=77']
Exploring Operation: 77-77=0, Resulting Numbers: [0]
0,67 unequal: No Solution
Exploring Operation: 77+77=154, Resulting Numbers: [154]
154,67 unequal: No Solution
Exploring Operation: 77*77=5929, Resulting Numbers: [5929]
5929,67 unequal: No Solution
Exploring Operation: 77/77=1, Resulting Numbers: [1]
1,67 unequal: No Solution
Moving to Node #0,1,2
Current State: 67:[99, 55], Operations: ['92+7=99', '77-22=55']
Exploring Operation: 99+55=154, Resulting Numbers: [154]
154,67 unequal: No Solution
Exploring Operation: 99*55=5445, Resulting Numbers: [5445]
5445,67 unequal: No Solution
Exploring Operation: 99-55=44, Resulting Numbers: [44]
44,67 unequal: No Solution
Moving to Node #0,1,0
Current State: 67:[77, 121], Operations: ['92+7=99', '22+99=121']
Exploring Operation: 77*121=9317, Resulting Numbers: [9317]
9317,67 unequal: No Solution
Exploring Operation: 77+121=198, Resulting Numbers: [198]
198,67 unequal: No Solution
Exploring Operation: 121-77=44, Resulting Numbers: [44]
44,67 unequal: No Solution
Moving to Node #0,1,1
Current State: 67:[99, 99], Operations: ['92+7=99', '77+22=99']
Exploring Operation: 99*99=9801, Resulting Numbers: [9801]
9801,67 unequal: No Solution
Exploring Operation: 99+99=198, Resulting Numbers: [198]
198,67 unequal: No Solution
Exploring Operation: 99/99=1, Resulting Numbers: [1]
1,67 unequal: No Solution
Exploring Operation: 99-99=0, Resulting Numbers: [0]
0,67 unequal: No Solution
Moving to Node #0,1,4
Current State: 67:[22, 22], Operations: ['92+7=99', '99-77=22']
Exploring Operation: 22/22=1, Resulting Numbers: [1]
1,67 unequal: No Solution
Exploring Operation: 22+22=44, Resulting Numbers: [44]
44,67 unequal: No Solution
Exploring Operation: 22-22=0, Resulting Numbers: [0]
0,67 unequal: No Solution
Exploring Operation: 22*22=484, Resulting Numbers: [484]
484,67 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
|
[
30,
61,
54,
46
] | 52 |
[
"61-46=15",
"30/15=2",
"54-2=52"
] |
Current State: 52:[30, 61, 54, 46], Operations: []
Exploring Operation: 61-46=15, Resulting Numbers: [30, 54, 15]
Generated Node #2: [30, 54, 15] from Operation: 61-46=15
Current State: 52:[30, 54, 15], Operations: ['61-46=15']
Exploring Operation: 30/15=2, Resulting Numbers: [54, 2]
Generated Node #3: [54, 2] from Operation: 30/15=2
Current State: 52:[54, 2], Operations: ['61-46=15', '30/15=2']
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
Current State: 52:[30, 61, 54, 46], Operations: []
Exploring Operation: 61-30=31, Resulting Numbers: [54, 46, 31]
Generated Node #0,0: 52:[54, 46, 31] Operation: 61-30=31
Exploring Operation: 46-30=16, Resulting Numbers: [61, 54, 16]
Generated Node #0,1: 52:[61, 54, 16] Operation: 46-30=16
Exploring Operation: 61-54=7, Resulting Numbers: [30, 46, 7]
Generated Node #0,2: 52:[30, 46, 7] Operation: 61-54=7
Exploring Operation: 61-46=15, Resulting Numbers: [30, 54, 15]
Generated Node #0,3: 52:[30, 54, 15] Operation: 61-46=15
Exploring Operation: 54-30=24, Resulting Numbers: [61, 46, 24]
Generated Node #0,4: 52:[61, 46, 24] Operation: 54-30=24
Moving to Node #0,3
Current State: 52:[30, 54, 15], Operations: ['61-46=15']
Exploring Operation: 30-15=15, Resulting Numbers: [54, 15]
Generated Node #0,3,0: 52:[54, 15] Operation: 30-15=15
Exploring Operation: 54-30=24, Resulting Numbers: [15, 24]
Generated Node #0,3,1: 52:[15, 24] Operation: 54-30=24
Exploring Operation: 54-15=39, Resulting Numbers: [30, 39]
Generated Node #0,3,2: 52:[30, 39] Operation: 54-15=39
Exploring Operation: 30/15=2, Resulting Numbers: [54, 2]
Generated Node #0,3,3: 52:[54, 2] Operation: 30/15=2
Exploring Operation: 30+15=45, Resulting Numbers: [54, 45]
Generated Node #0,3,4: 52:[54, 45] Operation: 30+15=45
Moving to Node #0,2
Current State: 52:[30, 46, 7], Operations: ['61-54=7']
Exploring Operation: 46-30=16, Resulting Numbers: [7, 16]
Generated Node #0,2,0: 52:[7, 16] Operation: 46-30=16
Exploring Operation: 30+7=37, Resulting Numbers: [46, 37]
Generated Node #0,2,1: 52:[46, 37] Operation: 30+7=37
Exploring Operation: 30-7=23, Resulting Numbers: [46, 23]
Generated Node #0,2,2: 52:[46, 23] Operation: 30-7=23
Exploring Operation: 46-7=39, Resulting Numbers: [30, 39]
Generated Node #0,2,3: 52:[30, 39] Operation: 46-7=39
Exploring Operation: 46+7=53, Resulting Numbers: [30, 53]
Generated Node #0,2,4: 52:[30, 53] Operation: 46+7=53
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 52:[30, 53], Operations: ['61-54=7', '46+7=53']
Exploring Operation: 30+53=83, Resulting Numbers: [83]
83,52 unequal: No Solution
Exploring Operation: 30*53=1590, Resulting Numbers: [1590]
1590,52 unequal: No Solution
Exploring Operation: 53-30=23, Resulting Numbers: [23]
23,52 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 #0,2,0
Current State: 52:[7, 16], Operations: ['61-54=7', '46-30=16']
Exploring Operation: 7*16=112, Resulting Numbers: [112]
112,52 unequal: No Solution
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 7+16=23, Resulting Numbers: [23]
23,52 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 #0,2,2
Current State: 52:[46, 23], Operations: ['61-54=7', '30-7=23']
Exploring Operation: 46+23=69, Resulting Numbers: [69]
69,52 unequal: No Solution
Exploring Operation: 46-23=23, Resulting Numbers: [23]
23,52 unequal: No Solution
Exploring Operation: 46*23=1058, Resulting Numbers: [1058]
1058,52 unequal: No Solution
Exploring Operation: 46/23=2, Resulting Numbers: [2]
2,52 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 #0,2,1
Current State: 52:[46, 37], Operations: ['61-54=7', '30+7=37']
Exploring Operation: 46-37=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 46*37=1702, Resulting Numbers: [1702]
1702,52 unequal: No Solution
Exploring Operation: 46+37=83, Resulting Numbers: [83]
83,52 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 #0,2,3
Current State: 52:[30, 39], Operations: ['61-54=7', '46-7=39']
Exploring Operation: 30*39=1170, Resulting Numbers: [1170]
1170,52 unequal: No Solution
Exploring Operation: 39-30=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 30+39=69, Resulting Numbers: [69]
69,52 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: 52:[54, 46, 31], Operations: ['61-30=31']
Exploring Operation: 54+31=85, Resulting Numbers: [46, 85]
Generated Node #0,0,0: 52:[46, 85] Operation: 54+31=85
Exploring Operation: 54-46=8, Resulting Numbers: [31, 8]
Generated Node #0,0,1: 52:[31, 8] Operation: 54-46=8
Exploring Operation: 46-31=15, Resulting Numbers: [54, 15]
Generated Node #0,0,2: 52:[54, 15] Operation: 46-31=15
Exploring Operation: 46+31=77, Resulting Numbers: [54, 77]
Generated Node #0,0,3: 52:[54, 77] Operation: 46+31=77
Exploring Operation: 54-31=23, Resulting Numbers: [46, 23]
Generated Node #0,0,4: 52:[46, 23] Operation: 54-31=23
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 52:[54, 15], Operations: ['61-30=31', '46-31=15']
Exploring Operation: 54-15=39, Resulting Numbers: [39]
39,52 unequal: No Solution
Exploring Operation: 54*15=810, Resulting Numbers: [810]
810,52 unequal: No Solution
Exploring Operation: 54+15=69, Resulting Numbers: [69]
69,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 52:[31, 8], Operations: ['61-30=31', '54-46=8']
Exploring Operation: 31*8=248, Resulting Numbers: [248]
248,52 unequal: No Solution
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,52 unequal: No Solution
Exploring Operation: 31+8=39, Resulting Numbers: [39]
39,52 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 #0,0,4
Current State: 52:[46, 23], Operations: ['61-30=31', '54-31=23']
Exploring Operation: 46+23=69, Resulting Numbers: [69]
69,52 unequal: No Solution
Exploring Operation: 46/23=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Exploring Operation: 46-23=23, Resulting Numbers: [23]
23,52 unequal: No Solution
Exploring Operation: 46*23=1058, Resulting Numbers: [1058]
1058,52 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 #0,0,3
Current State: 52:[54, 77], Operations: ['61-30=31', '46+31=77']
Exploring Operation: 77-54=23, Resulting Numbers: [23]
23,52 unequal: No Solution
Exploring Operation: 54+77=131, Resulting Numbers: [131]
131,52 unequal: No Solution
Exploring Operation: 54*77=4158, Resulting Numbers: [4158]
4158,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 52:[46, 85], Operations: ['61-30=31', '54+31=85']
Exploring Operation: 46+85=131, Resulting Numbers: [131]
131,52 unequal: No Solution
Exploring Operation: 46*85=3910, Resulting Numbers: [3910]
3910,52 unequal: No Solution
Exploring Operation: 85-46=39, Resulting Numbers: [39]
39,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 52:[61, 54, 16], Operations: ['46-30=16']
Exploring Operation: 61-16=45, Resulting Numbers: [54, 45]
Generated Node #0,1,0: 52:[54, 45] Operation: 61-16=45
Exploring Operation: 54-16=38, Resulting Numbers: [61, 38]
Generated Node #0,1,1: 52:[61, 38] Operation: 54-16=38
Exploring Operation: 61+16=77, Resulting Numbers: [54, 77]
Generated Node #0,1,2: 52:[54, 77] Operation: 61+16=77
Exploring Operation: 61-54=7, Resulting Numbers: [16, 7]
Generated Node #0,1,3: 52:[16, 7] Operation: 61-54=7
Exploring Operation: 54+16=70, Resulting Numbers: [61, 70]
Generated Node #0,1,4: 52:[61, 70] Operation: 54+16=70
Moving to Node #0,4
Current State: 52:[61, 46, 24], Operations: ['54-30=24']
Exploring Operation: 46-24=22, Resulting Numbers: [61, 22]
Generated Node #0,4,0: 52:[61, 22] Operation: 46-24=22
Exploring Operation: 46+24=70, Resulting Numbers: [61, 70]
Generated Node #0,4,1: 52:[61, 70] Operation: 46+24=70
Exploring Operation: 61-46=15, Resulting Numbers: [24, 15]
Generated Node #0,4,2: 52:[24, 15] Operation: 61-46=15
Exploring Operation: 61-24=37, Resulting Numbers: [46, 37]
Generated Node #0,4,3: 52:[46, 37] Operation: 61-24=37
Exploring Operation: 61+24=85, Resulting Numbers: [46, 85]
Generated Node #0,4,4: 52:[46, 85] Operation: 61+24=85
Moving to Node #0,3,3
Current State: 52:[54, 2], Operations: ['61-46=15', '30/15=2']
Exploring Operation: 54*2=108, Resulting Numbers: [108]
108,52 unequal: No Solution
Exploring Operation: 54+2=56, Resulting Numbers: [56]
56,52 unequal: No Solution
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[30, 61, 54, 46], Operations: []
Exploring Operation: 61-46=15, Resulting Numbers: [30, 54, 15]
Generated Node #0,3: 52:[30, 54, 15] Operation: 61-46=15
Moving to Node #0,3
Current State: 52:[30, 54, 15], Operations: ['61-46=15']
Exploring Operation: 30/15=2, Resulting Numbers: [54, 2]
Generated Node #0,3,3: 52:[54, 2] Operation: 30/15=2
Moving to Node #0,3,3
Current State: 52:[54, 2], Operations: ['61-46=15', '30/15=2']
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 0.940104 |
hs_5
|
mult_heuristic
|
[
22,
13,
39,
24
] | 11 |
[
"39-13=26",
"26-24=2",
"22/2=11"
] |
Current State: 11:[22, 13, 39, 24], Operations: []
Exploring Operation: 39-13=26, Resulting Numbers: [22, 24, 26]
Generated Node #2: [22, 24, 26] from Operation: 39-13=26
Current State: 11:[22, 24, 26], Operations: ['39-13=26']
Exploring Operation: 26-24=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 26-24=2
Current State: 11:[22, 2], Operations: ['39-13=26', '26-24=2']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
Current State: 11:[22, 13, 39, 24], Operations: []
Exploring Operation: 39-24=15, Resulting Numbers: [22, 13, 15]
Generated Node #0,0: 11:[22, 13, 15] Operation: 39-24=15
Exploring Operation: 39-22=17, Resulting Numbers: [13, 24, 17]
Generated Node #0,1: 11:[13, 24, 17] Operation: 39-22=17
Exploring Operation: 39/13=3, Resulting Numbers: [22, 24, 3]
Generated Node #0,2: 11:[22, 24, 3] Operation: 39/13=3
Exploring Operation: 24-22=2, Resulting Numbers: [13, 39, 2]
Generated Node #0,3: 11:[13, 39, 2] Operation: 24-22=2
Moving to Node #0,0
Current State: 11:[22, 13, 15], Operations: ['39-24=15']
Exploring Operation: 15-13=2, Resulting Numbers: [22, 2]
Generated Node #0,0,0: 11:[22, 2] Operation: 15-13=2
Exploring Operation: 22-13=9, Resulting Numbers: [15, 9]
Generated Node #0,0,1: 11:[15, 9] Operation: 22-13=9
Exploring Operation: 22-15=7, Resulting Numbers: [13, 7]
Generated Node #0,0,2: 11:[13, 7] Operation: 22-15=7
Exploring Operation: 22+13=35, Resulting Numbers: [15, 35]
Generated Node #0,0,3: 11:[15, 35] Operation: 22+13=35
Moving to Node #0,1
Current State: 11:[13, 24, 17], Operations: ['39-22=17']
Exploring Operation: 13+24=37, Resulting Numbers: [17, 37]
Generated Node #0,1,0: 11:[17, 37] Operation: 13+24=37
Exploring Operation: 24-17=7, Resulting Numbers: [13, 7]
Generated Node #0,1,1: 11:[13, 7] Operation: 24-17=7
Exploring Operation: 17-13=4, Resulting Numbers: [24, 4]
Generated Node #0,1,2: 11:[24, 4] Operation: 17-13=4
Exploring Operation: 24-13=11, Resulting Numbers: [17, 11]
Generated Node #0,1,3: 11:[17, 11] Operation: 24-13=11
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 11:[13, 7], Operations: ['39-22=17', '24-17=7']
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,11 unequal: No Solution
Exploring Operation: 13+7=20, Resulting Numbers: [20]
20,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 11:[17, 11], Operations: ['39-22=17', '24-13=11']
Exploring Operation: 17*11=187, Resulting Numbers: [187]
187,11 unequal: No Solution
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,11 unequal: No Solution
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 11:[24, 4], Operations: ['39-22=17', '17-13=4']
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 24+4=28, Resulting Numbers: [28]
28,11 unequal: No Solution
Exploring Operation: 24*4=96, Resulting Numbers: [96]
96,11 unequal: No Solution
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 11:[17, 37], Operations: ['39-22=17', '13+24=37']
Exploring Operation: 17+37=54, Resulting Numbers: [54]
54,11 unequal: No Solution
Exploring Operation: 37-17=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 17*37=629, Resulting Numbers: [629]
629,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 11:[22, 24, 3], Operations: ['39/13=3']
Exploring Operation: 24-22=2, Resulting Numbers: [3, 2]
Generated Node #0,2,0: 11:[3, 2] Operation: 24-22=2
Exploring Operation: 22-3=19, Resulting Numbers: [24, 19]
Generated Node #0,2,1: 11:[24, 19] Operation: 22-3=19
Exploring Operation: 24/3=8, Resulting Numbers: [22, 8]
Generated Node #0,2,2: 11:[22, 8] Operation: 24/3=8
Exploring Operation: 24-3=21, Resulting Numbers: [22, 21]
Generated Node #0,2,3: 11:[22, 21] Operation: 24-3=21
Moving to Node #0,3
Current State: 11:[13, 39, 2], Operations: ['24-22=2']
Exploring Operation: 39-13=26, Resulting Numbers: [2, 26]
Generated Node #0,3,0: 11:[2, 26] Operation: 39-13=26
Exploring Operation: 39/13=3, Resulting Numbers: [2, 3]
Generated Node #0,3,1: 11:[2, 3] Operation: 39/13=3
Exploring Operation: 39-2=37, Resulting Numbers: [13, 37]
Generated Node #0,3,2: 11:[13, 37] Operation: 39-2=37
Exploring Operation: 13-2=11, Resulting Numbers: [39, 11]
Generated Node #0,3,3: 11:[39, 11] Operation: 13-2=11
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 11:[2, 3], Operations: ['24-22=2', '39/13=3']
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,11 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 11:[2, 26], Operations: ['24-22=2', '39-13=26']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,11 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,11 unequal: No Solution
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 11:[13, 37], Operations: ['24-22=2', '39-2=37']
Exploring Operation: 13+37=50, Resulting Numbers: [50]
50,11 unequal: No Solution
Exploring Operation: 37-13=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Exploring Operation: 13*37=481, Resulting Numbers: [481]
481,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 11:[39, 11], Operations: ['24-22=2', '13-2=11']
Exploring Operation: 39-11=28, Resulting Numbers: [28]
28,11 unequal: No Solution
Exploring Operation: 39+11=50, Resulting Numbers: [50]
50,11 unequal: No Solution
Exploring Operation: 39*11=429, Resulting Numbers: [429]
429,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 11:[15, 9], Operations: ['39-24=15', '22-13=9']
Exploring Operation: 15+9=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Exploring Operation: 15*9=135, Resulting Numbers: [135]
135,11 unequal: No Solution
Exploring Operation: 15-9=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Moving to Node #0,0,2
Current State: 11:[13, 7], Operations: ['39-24=15', '22-15=7']
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,11 unequal: No Solution
Exploring Operation: 13+7=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Moving to Node #0,2,2
Current State: 11:[22, 8], Operations: ['39/13=3', '24/3=8']
Exploring Operation: 22+8=30, Resulting Numbers: [30]
30,11 unequal: No Solution
Exploring Operation: 22*8=176, Resulting Numbers: [176]
176,11 unequal: No Solution
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,11 unequal: No Solution
Moving to Node #0,2,0
Current State: 11:[3, 2], Operations: ['39/13=3', '24-22=2']
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,11 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,11 unequal: No Solution
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Moving to Node #0,0,0
Current State: 11:[22, 2], Operations: ['39-24=15', '15-13=2']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[22, 13, 39, 24], Operations: []
Exploring Operation: 39-24=15, Resulting Numbers: [22, 13, 15]
Generated Node #0,0: 11:[22, 13, 15] Operation: 39-24=15
Moving to Node #0,0
Current State: 11:[22, 13, 15], Operations: ['39-24=15']
Exploring Operation: 15-13=2, Resulting Numbers: [22, 2]
Generated Node #0,0,0: 11:[22, 2] Operation: 15-13=2
Moving to Node #0,0,0
Current State: 11:[22, 2], Operations: ['39-24=15', '15-13=2']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 0.945313 |
hs_4
|
mult_heuristic
|
[
82,
5,
55,
13
] | 74 |
[
"82+13=95",
"95/5=19",
"55+19=74"
] |
Current State: 74:[82, 5, 55, 13], Operations: []
Exploring Operation: 82+13=95, Resulting Numbers: [5, 55, 95]
Generated Node #2: [5, 55, 95] from Operation: 82+13=95
Current State: 74:[5, 55, 95], Operations: ['82+13=95']
Exploring Operation: 95/5=19, Resulting Numbers: [55, 19]
Generated Node #3: [55, 19] from Operation: 95/5=19
Current State: 74:[55, 19], Operations: ['82+13=95', '95/5=19']
Exploring Operation: 55+19=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
Current State: 74:[82, 5, 55, 13], Operations: []
Exploring Operation: 55-13=42, Resulting Numbers: [82, 5, 42]
Generated Node #0,0: 74:[82, 5, 42] Operation: 55-13=42
Exploring Operation: 55+13=68, Resulting Numbers: [82, 5, 68]
Generated Node #0,1: 74:[82, 5, 68] Operation: 55+13=68
Exploring Operation: 82-55=27, Resulting Numbers: [5, 13, 27]
Generated Node #0,2: 74:[5, 13, 27] Operation: 82-55=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[82, 5, 42], Operations: ['55-13=42']
Exploring Operation: 42-5=37, Resulting Numbers: [82, 37]
Generated Node #0,0,0: 74:[82, 37] Operation: 42-5=37
Exploring Operation: 82-42=40, Resulting Numbers: [5, 40]
Generated Node #0,0,1: 74:[5, 40] Operation: 82-42=40
Exploring Operation: 82-5=77, Resulting Numbers: [42, 77]
Generated Node #0,0,2: 74:[42, 77] Operation: 82-5=77
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 74:[5, 40], Operations: ['55-13=42', '82-42=40']
Exploring Operation: 5+40=45, Resulting Numbers: [45]
45,74 unequal: No Solution
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,74 unequal: No Solution
Exploring Operation: 40/5=8, Resulting Numbers: [8]
8,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 74:[82, 37], Operations: ['55-13=42', '42-5=37']
Exploring Operation: 82*37=3034, Resulting Numbers: [3034]
3034,74 unequal: No Solution
Exploring Operation: 82-37=45, Resulting Numbers: [45]
45,74 unequal: No Solution
Exploring Operation: 82+37=119, Resulting Numbers: [119]
119,74 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:[42, 77], Operations: ['55-13=42', '82-5=77']
Exploring Operation: 77-42=35, Resulting Numbers: [35]
35,74 unequal: No Solution
Exploring Operation: 42*77=3234, Resulting Numbers: [3234]
3234,74 unequal: No Solution
Exploring Operation: 42+77=119, Resulting Numbers: [119]
119,74 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:[82, 5, 68], Operations: ['55+13=68']
Exploring Operation: 5+68=73, Resulting Numbers: [82, 73]
Generated Node #0,1,0: 74:[82, 73] Operation: 5+68=73
Exploring Operation: 82-5=77, Resulting Numbers: [68, 77]
Generated Node #0,1,1: 74:[68, 77] Operation: 82-5=77
Exploring Operation: 82-68=14, Resulting Numbers: [5, 14]
Generated Node #0,1,2: 74:[5, 14] Operation: 82-68=14
Moving to Node #0,1,0
Current State: 74:[82, 73], Operations: ['55+13=68', '5+68=73']
Exploring Operation: 82+73=155, Resulting Numbers: [155]
155,74 unequal: No Solution
Exploring Operation: 82-73=9, Resulting Numbers: [9]
9,74 unequal: No Solution
Exploring Operation: 82*73=5986, Resulting Numbers: [5986]
5986,74 unequal: No Solution
Moving to Node #0,1,1
Current State: 74:[68, 77], Operations: ['55+13=68', '82-5=77']
Exploring Operation: 68*77=5236, Resulting Numbers: [5236]
5236,74 unequal: No Solution
Exploring Operation: 77-68=9, Resulting Numbers: [9]
9,74 unequal: No Solution
Exploring Operation: 68+77=145, Resulting Numbers: [145]
145,74 unequal: No Solution
Moving to Node #0,1,2
Current State: 74:[5, 14], Operations: ['55+13=68', '82-68=14']
Exploring Operation: 5+14=19, Resulting Numbers: [19]
19,74 unequal: No Solution
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,74 unequal: No Solution
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 74:[5, 13, 27], Operations: ['82-55=27']
Exploring Operation: 27-13=14, Resulting Numbers: [5, 14]
Generated Node #0,2,0: 74:[5, 14] Operation: 27-13=14
Exploring Operation: 13-5=8, Resulting Numbers: [27, 8]
Generated Node #0,2,1: 74:[27, 8] Operation: 13-5=8
Exploring Operation: 13+27=40, Resulting Numbers: [5, 40]
Generated Node #0,2,2: 74:[5, 40] Operation: 13+27=40
Moving to Node #0,2,2
Current State: 74:[5, 40], Operations: ['82-55=27', '13+27=40']
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,74 unequal: No Solution
Exploring Operation: 5+40=45, Resulting Numbers: [45]
45,74 unequal: No Solution
Exploring Operation: 40/5=8, Resulting Numbers: [8]
8,74 unequal: No Solution
Moving to Node #0,2,0
Current State: 74:[5, 14], Operations: ['82-55=27', '27-13=14']
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,74 unequal: No Solution
Exploring Operation: 5+14=19, Resulting Numbers: [19]
19,74 unequal: No Solution
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,74 unequal: No Solution
Moving to Node #0,2,1
Current State: 74:[27, 8], Operations: ['82-55=27', '13-5=8']
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,74 unequal: No Solution
Exploring Operation: 27+8=35, Resulting Numbers: [35]
35,74 unequal: No Solution
Exploring Operation: 27*8=216, Resulting Numbers: [216]
216,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
2,
85,
16,
86
] | 17 |
[
"2+85=87",
"86-16=70",
"87-70=17"
] |
Current State: 17:[2, 85, 16, 86], Operations: []
Exploring Operation: 2+85=87, Resulting Numbers: [16, 86, 87]
Generated Node #2: [16, 86, 87] from Operation: 2+85=87
Current State: 17:[16, 86, 87], Operations: ['2+85=87']
Exploring Operation: 86-16=70, Resulting Numbers: [87, 70]
Generated Node #3: [87, 70] from Operation: 86-16=70
Current State: 17:[87, 70], Operations: ['2+85=87', '86-16=70']
Exploring Operation: 87-70=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
Current State: 17:[2, 85, 16, 86], Operations: []
Exploring Operation: 86/2=43, Resulting Numbers: [85, 16, 43]
Generated Node #0,0: 17:[85, 16, 43] Operation: 86/2=43
Exploring Operation: 85-2=83, Resulting Numbers: [16, 86, 83]
Generated Node #0,1: 17:[16, 86, 83] Operation: 85-2=83
Exploring Operation: 86-85=1, Resulting Numbers: [2, 16, 1]
Generated Node #0,2: 17:[2, 16, 1] Operation: 86-85=1
Moving to Node #0,2
Current State: 17:[2, 16, 1], Operations: ['86-85=1']
Exploring Operation: 2*1=2, Resulting Numbers: [16, 2]
Generated Node #0,2,0: 17:[16, 2] Operation: 2*1=2
Exploring Operation: 16+1=17, Resulting Numbers: [2, 17]
Generated Node #0,2,1: 17:[2, 17] Operation: 16+1=17
Exploring Operation: 2+1=3, Resulting Numbers: [16, 3]
Generated Node #0,2,2: 17:[16, 3] Operation: 2+1=3
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 17:[2, 17], Operations: ['86-85=1', '16+1=17']
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,17 unequal: No Solution
Exploring Operation: 17-2=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 #0,2,2
Current State: 17:[16, 3], Operations: ['86-85=1', '2+1=3']
Exploring Operation: 16+3=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,17 unequal: No Solution
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 17:[16, 2], Operations: ['86-85=1', '2*1=2']
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,17 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,17 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,17 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: 17:[85, 16, 43], Operations: ['86/2=43']
Exploring Operation: 43-16=27, Resulting Numbers: [85, 27]
Generated Node #0,0,0: 17:[85, 27] Operation: 43-16=27
Exploring Operation: 85-43=42, Resulting Numbers: [16, 42]
Generated Node #0,0,1: 17:[16, 42] Operation: 85-43=42
Exploring Operation: 85-16=69, Resulting Numbers: [43, 69]
Generated Node #0,0,2: 17:[43, 69] Operation: 85-16=69
Moving to Node #0,1
Current State: 17:[16, 86, 83], Operations: ['85-2=83']
Exploring Operation: 86-83=3, Resulting Numbers: [16, 3]
Generated Node #0,1,0: 17:[16, 3] Operation: 86-83=3
Exploring Operation: 83-16=67, Resulting Numbers: [86, 67]
Generated Node #0,1,1: 17:[86, 67] Operation: 83-16=67
Exploring Operation: 86-16=70, Resulting Numbers: [83, 70]
Generated Node #0,1,2: 17:[83, 70] Operation: 86-16=70
Moving to Node #0,1,0
Current State: 17:[16, 3], Operations: ['85-2=83', '86-83=3']
Exploring Operation: 16+3=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,17 unequal: No Solution
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,17 unequal: No Solution
Moving to Node #0,0,1
Current State: 17:[16, 42], Operations: ['86/2=43', '85-43=42']
Exploring Operation: 16*42=672, Resulting Numbers: [672]
672,17 unequal: No Solution
Exploring Operation: 42-16=26, Resulting Numbers: [26]
26,17 unequal: No Solution
Exploring Operation: 16+42=58, Resulting Numbers: [58]
58,17 unequal: No Solution
Moving to Node #0,0,2
Current State: 17:[43, 69], Operations: ['86/2=43', '85-16=69']
Exploring Operation: 43*69=2967, Resulting Numbers: [2967]
2967,17 unequal: No Solution
Exploring Operation: 69-43=26, Resulting Numbers: [26]
26,17 unequal: No Solution
Exploring Operation: 43+69=112, Resulting Numbers: [112]
112,17 unequal: No Solution
Moving to Node #0,0,0
Current State: 17:[85, 27], Operations: ['86/2=43', '43-16=27']
Exploring Operation: 85+27=112, Resulting Numbers: [112]
112,17 unequal: No Solution
Exploring Operation: 85-27=58, Resulting Numbers: [58]
58,17 unequal: No Solution
Exploring Operation: 85*27=2295, Resulting Numbers: [2295]
2295,17 unequal: No Solution
Moving to Node #0,1,2
Current State: 17:[83, 70], Operations: ['85-2=83', '86-16=70']
Exploring Operation: 83-70=13, Resulting Numbers: [13]
13,17 unequal: No Solution
Exploring Operation: 83+70=153, Resulting Numbers: [153]
153,17 unequal: No Solution
Exploring Operation: 83*70=5810, Resulting Numbers: [5810]
5810,17 unequal: No Solution
Moving to Node #0,1,1
Current State: 17:[86, 67], Operations: ['85-2=83', '83-16=67']
Exploring Operation: 86+67=153, Resulting Numbers: [153]
153,17 unequal: No Solution
Exploring Operation: 86-67=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 86*67=5762, Resulting Numbers: [5762]
5762,17 unequal: No Solution
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
89,
67,
84,
4
] | 87 |
[
"89-84=5",
"4*5=20",
"67+20=87"
] |
Current State: 87:[89, 67, 84, 4], Operations: []
Exploring Operation: 89-84=5, Resulting Numbers: [67, 4, 5]
Generated Node #2: [67, 4, 5] from Operation: 89-84=5
Current State: 87:[67, 4, 5], Operations: ['89-84=5']
Exploring Operation: 4*5=20, Resulting Numbers: [67, 20]
Generated Node #3: [67, 20] from Operation: 4*5=20
Current State: 87:[67, 20], Operations: ['89-84=5', '4*5=20']
Exploring Operation: 67+20=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
Current State: 87:[89, 67, 84, 4], Operations: []
Exploring Operation: 84-67=17, Resulting Numbers: [89, 4, 17]
Generated Node #0,0: 87:[89, 4, 17] Operation: 84-67=17
Exploring Operation: 89-67=22, Resulting Numbers: [84, 4, 22]
Generated Node #0,1: 87:[84, 4, 22] Operation: 89-67=22
Moving to Node #0,1
Current State: 87:[84, 4, 22], Operations: ['89-67=22']
Exploring Operation: 4*22=88, Resulting Numbers: [84, 88]
Generated Node #0,1,0: 87:[84, 88] Operation: 4*22=88
Exploring Operation: 4+22=26, Resulting Numbers: [84, 26]
Generated Node #0,1,1: 87:[84, 26] Operation: 4+22=26
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 87:[84, 88], Operations: ['89-67=22', '4*22=88']
Exploring Operation: 88-84=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 84+88=172, Resulting Numbers: [172]
172,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 87:[84, 26], Operations: ['89-67=22', '4+22=26']
Exploring Operation: 84-26=58, Resulting Numbers: [58]
58,87 unequal: No Solution
Exploring Operation: 84+26=110, Resulting Numbers: [110]
110,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 87:[89, 4, 17], Operations: ['84-67=17']
Exploring Operation: 17-4=13, Resulting Numbers: [89, 13]
Generated Node #0,0,0: 87:[89, 13] Operation: 17-4=13
Exploring Operation: 4+17=21, Resulting Numbers: [89, 21]
Generated Node #0,0,1: 87:[89, 21] Operation: 4+17=21
Moving to Node #0,0,1
Current State: 87:[89, 21], Operations: ['84-67=17', '4+17=21']
Exploring Operation: 89+21=110, Resulting Numbers: [110]
110,87 unequal: No Solution
Exploring Operation: 89-21=68, Resulting Numbers: [68]
68,87 unequal: No Solution
Moving to Node #0,0,0
Current State: 87:[89, 13], Operations: ['84-67=17', '17-4=13']
Exploring Operation: 89-13=76, Resulting Numbers: [76]
76,87 unequal: No Solution
Exploring Operation: 89+13=102, Resulting Numbers: [102]
102,87 unequal: No Solution
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
33,
87,
31,
67
] | 47 |
[
"33-31=2",
"67*2=134",
"134-87=47"
] |
Current State: 47:[33, 87, 31, 67], Operations: []
Exploring Operation: 33-31=2, Resulting Numbers: [87, 67, 2]
Generated Node #2: [87, 67, 2] from Operation: 33-31=2
Current State: 47:[87, 67, 2], Operations: ['33-31=2']
Exploring Operation: 67*2=134, Resulting Numbers: [87, 134]
Generated Node #3: [87, 134] from Operation: 67*2=134
Current State: 47:[87, 134], Operations: ['33-31=2', '67*2=134']
Exploring Operation: 134-87=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
Current State: 47:[33, 87, 31, 67], Operations: []
Exploring Operation: 87-33=54, Resulting Numbers: [31, 67, 54]
Generated Node #0,0: 47:[31, 67, 54] Operation: 87-33=54
Exploring Operation: 87-31=56, Resulting Numbers: [33, 67, 56]
Generated Node #0,1: 47:[33, 67, 56] Operation: 87-31=56
Exploring Operation: 87-67=20, Resulting Numbers: [33, 31, 20]
Generated Node #0,2: 47:[33, 31, 20] Operation: 87-67=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[31, 67, 54], Operations: ['87-33=54']
Exploring Operation: 67-54=13, Resulting Numbers: [31, 13]
Generated Node #0,0,0: 47:[31, 13] Operation: 67-54=13
Exploring Operation: 54-31=23, Resulting Numbers: [67, 23]
Generated Node #0,0,1: 47:[67, 23] Operation: 54-31=23
Exploring Operation: 67-31=36, Resulting Numbers: [54, 36]
Generated Node #0,0,2: 47:[54, 36] Operation: 67-31=36
Moving to Node #0,0,2
Current State: 47:[54, 36], Operations: ['87-33=54', '67-31=36']
Exploring Operation: 54*36=1944, Resulting Numbers: [1944]
1944,47 unequal: No Solution
Exploring Operation: 54-36=18, Resulting Numbers: [18]
18,47 unequal: No Solution
Exploring Operation: 54+36=90, Resulting Numbers: [90]
90,47 unequal: No Solution
Moving to Node #0,0,1
Current State: 47:[67, 23], Operations: ['87-33=54', '54-31=23']
Exploring Operation: 67-23=44, Resulting Numbers: [44]
44,47 unequal: No Solution
Exploring Operation: 67*23=1541, Resulting Numbers: [1541]
1541,47 unequal: No Solution
Exploring Operation: 67+23=90, Resulting Numbers: [90]
90,47 unequal: No Solution
Moving to Node #0,0,0
Current State: 47:[31, 13], Operations: ['87-33=54', '67-54=13']
Exploring Operation: 31*13=403, Resulting Numbers: [403]
403,47 unequal: No Solution
Exploring Operation: 31-13=18, Resulting Numbers: [18]
18,47 unequal: No Solution
Exploring Operation: 31+13=44, Resulting Numbers: [44]
44,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[33, 67, 56], Operations: ['87-31=56']
Exploring Operation: 67-56=11, Resulting Numbers: [33, 11]
Generated Node #0,1,0: 47:[33, 11] Operation: 67-56=11
Exploring Operation: 67-33=34, Resulting Numbers: [56, 34]
Generated Node #0,1,1: 47:[56, 34] Operation: 67-33=34
Exploring Operation: 56-33=23, Resulting Numbers: [67, 23]
Generated Node #0,1,2: 47:[67, 23] Operation: 56-33=23
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 47:[56, 34], Operations: ['87-31=56', '67-33=34']
Exploring Operation: 56-34=22, Resulting Numbers: [22]
22,47 unequal: No Solution
Exploring Operation: 56+34=90, Resulting Numbers: [90]
90,47 unequal: No Solution
Exploring Operation: 56*34=1904, Resulting Numbers: [1904]
1904,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 47:[67, 23], Operations: ['87-31=56', '56-33=23']
Exploring Operation: 67*23=1541, Resulting Numbers: [1541]
1541,47 unequal: No Solution
Exploring Operation: 67+23=90, Resulting Numbers: [90]
90,47 unequal: No Solution
Exploring Operation: 67-23=44, Resulting Numbers: [44]
44,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 47:[33, 11], Operations: ['87-31=56', '67-56=11']
Exploring Operation: 33/11=3, Resulting Numbers: [3]
3,47 unequal: No Solution
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,47 unequal: No Solution
Exploring Operation: 33+11=44, Resulting Numbers: [44]
44,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 47:[33, 31, 20], Operations: ['87-67=20']
Exploring Operation: 31+20=51, Resulting Numbers: [33, 51]
Generated Node #0,2,0: 47:[33, 51] Operation: 31+20=51
Exploring Operation: 33+31=64, Resulting Numbers: [20, 64]
Generated Node #0,2,1: 47:[20, 64] Operation: 33+31=64
Exploring Operation: 33+20=53, Resulting Numbers: [31, 53]
Generated Node #0,2,2: 47:[31, 53] Operation: 33+20=53
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 47:[33, 51], Operations: ['87-67=20', '31+20=51']
Exploring Operation: 33*51=1683, Resulting Numbers: [1683]
1683,47 unequal: No Solution
Exploring Operation: 51-33=18, Resulting Numbers: [18]
18,47 unequal: No Solution
Exploring Operation: 33+51=84, Resulting Numbers: [84]
84,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 47:[31, 53], Operations: ['87-67=20', '33+20=53']
Exploring Operation: 53-31=22, Resulting Numbers: [22]
22,47 unequal: No Solution
Exploring Operation: 31*53=1643, Resulting Numbers: [1643]
1643,47 unequal: No Solution
Exploring Operation: 31+53=84, Resulting Numbers: [84]
84,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 47:[20, 64], Operations: ['87-67=20', '33+31=64']
Exploring Operation: 20+64=84, Resulting Numbers: [84]
84,47 unequal: No Solution
Exploring Operation: 20*64=1280, Resulting Numbers: [1280]
1280,47 unequal: No Solution
Exploring Operation: 64-20=44, Resulting Numbers: [44]
44,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
16,
2,
35,
78
] | 75 |
[
"16*2=32",
"78-35=43",
"32+43=75"
] |
Current State: 75:[16, 2, 35, 78], Operations: []
Exploring Operation: 16*2=32, Resulting Numbers: [35, 78, 32]
Generated Node #2: [35, 78, 32] from Operation: 16*2=32
Current State: 75:[35, 78, 32], Operations: ['16*2=32']
Exploring Operation: 78-35=43, Resulting Numbers: [32, 43]
Generated Node #3: [32, 43] from Operation: 78-35=43
Current State: 75:[32, 43], Operations: ['16*2=32', '78-35=43']
Exploring Operation: 32+43=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
Current State: 75:[16, 2, 35, 78], Operations: []
Exploring Operation: 35-16=19, Resulting Numbers: [2, 78, 19]
Generated Node #0,0: 75:[2, 78, 19] Operation: 35-16=19
Exploring Operation: 2*35=70, Resulting Numbers: [16, 78, 70]
Generated Node #0,1: 75:[16, 78, 70] Operation: 2*35=70
Exploring Operation: 35-2=33, Resulting Numbers: [16, 78, 33]
Generated Node #0,2: 75:[16, 78, 33] Operation: 35-2=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[2, 78, 19], Operations: ['35-16=19']
Exploring Operation: 2+19=21, Resulting Numbers: [78, 21]
Generated Node #0,0,0: 75:[78, 21] Operation: 2+19=21
Exploring Operation: 78-2=76, Resulting Numbers: [19, 76]
Generated Node #0,0,1: 75:[19, 76] Operation: 78-2=76
Exploring Operation: 19-2=17, Resulting Numbers: [78, 17]
Generated Node #0,0,2: 75:[78, 17] Operation: 19-2=17
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 75:[19, 76], Operations: ['35-16=19', '78-2=76']
Exploring Operation: 76/19=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 76-19=57, Resulting Numbers: [57]
57,75 unequal: No Solution
Exploring Operation: 19+76=95, Resulting Numbers: [95]
95,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 75:[78, 17], Operations: ['35-16=19', '19-2=17']
Exploring Operation: 78*17=1326, Resulting Numbers: [1326]
1326,75 unequal: No Solution
Exploring Operation: 78-17=61, Resulting Numbers: [61]
61,75 unequal: No Solution
Exploring Operation: 78+17=95, Resulting Numbers: [95]
95,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 75:[78, 21], Operations: ['35-16=19', '2+19=21']
Exploring Operation: 78-21=57, Resulting Numbers: [57]
57,75 unequal: No Solution
Exploring Operation: 78+21=99, Resulting Numbers: [99]
99,75 unequal: No Solution
Exploring Operation: 78*21=1638, Resulting Numbers: [1638]
1638,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[16, 78, 70], Operations: ['2*35=70']
Exploring Operation: 78-16=62, Resulting Numbers: [70, 62]
Generated Node #0,1,0: 75:[70, 62] Operation: 78-16=62
Exploring Operation: 16+70=86, Resulting Numbers: [78, 86]
Generated Node #0,1,1: 75:[78, 86] Operation: 16+70=86
Exploring Operation: 78-70=8, Resulting Numbers: [16, 8]
Generated Node #0,1,2: 75:[16, 8] Operation: 78-70=8
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 75:[16, 8], Operations: ['2*35=70', '78-70=8']
Exploring Operation: 16-8=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 16/8=2, Resulting Numbers: [2]
2,75 unequal: No Solution
Exploring Operation: 16+8=24, Resulting Numbers: [24]
24,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 75:[78, 86], Operations: ['2*35=70', '16+70=86']
Exploring Operation: 86-78=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 78*86=6708, Resulting Numbers: [6708]
6708,75 unequal: No Solution
Exploring Operation: 78+86=164, Resulting Numbers: [164]
164,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 75:[70, 62], Operations: ['2*35=70', '78-16=62']
Exploring Operation: 70+62=132, Resulting Numbers: [132]
132,75 unequal: No Solution
Exploring Operation: 70*62=4340, Resulting Numbers: [4340]
4340,75 unequal: No Solution
Exploring Operation: 70-62=8, Resulting Numbers: [8]
8,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[16, 78, 33], Operations: ['35-2=33']
Exploring Operation: 78-16=62, Resulting Numbers: [33, 62]
Generated Node #0,2,0: 75:[33, 62] Operation: 78-16=62
Exploring Operation: 33-16=17, Resulting Numbers: [78, 17]
Generated Node #0,2,1: 75:[78, 17] Operation: 33-16=17
Exploring Operation: 78-33=45, Resulting Numbers: [16, 45]
Generated Node #0,2,2: 75:[16, 45] Operation: 78-33=45
Moving to Node #0,2,1
Current State: 75:[78, 17], Operations: ['35-2=33', '33-16=17']
Exploring Operation: 78*17=1326, Resulting Numbers: [1326]
1326,75 unequal: No Solution
Exploring Operation: 78+17=95, Resulting Numbers: [95]
95,75 unequal: No Solution
Exploring Operation: 78-17=61, Resulting Numbers: [61]
61,75 unequal: No Solution
Moving to Node #0,2,0
Current State: 75:[33, 62], Operations: ['35-2=33', '78-16=62']
Exploring Operation: 62-33=29, Resulting Numbers: [29]
29,75 unequal: No Solution
Exploring Operation: 33*62=2046, Resulting Numbers: [2046]
2046,75 unequal: No Solution
Exploring Operation: 33+62=95, Resulting Numbers: [95]
95,75 unequal: No Solution
Moving to Node #0,2,2
Current State: 75:[16, 45], Operations: ['35-2=33', '78-33=45']
Exploring Operation: 45-16=29, Resulting Numbers: [29]
29,75 unequal: No Solution
Exploring Operation: 16*45=720, Resulting Numbers: [720]
720,75 unequal: No Solution
Exploring Operation: 16+45=61, Resulting Numbers: [61]
61,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
42,
68,
89,
72
] | 70 |
[
"89-68=21",
"42/21=2",
"72-2=70"
] |
Current State: 70:[42, 68, 89, 72], Operations: []
Exploring Operation: 89-68=21, Resulting Numbers: [42, 72, 21]
Generated Node #2: [42, 72, 21] from Operation: 89-68=21
Current State: 70:[42, 72, 21], Operations: ['89-68=21']
Exploring Operation: 42/21=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 42/21=2
Current State: 70:[72, 2], Operations: ['89-68=21', '42/21=2']
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
Current State: 70:[42, 68, 89, 72], Operations: []
Exploring Operation: 89-72=17, Resulting Numbers: [42, 68, 17]
Generated Node #0,0: 70:[42, 68, 17] Operation: 89-72=17
Exploring Operation: 72-42=30, Resulting Numbers: [68, 89, 30]
Generated Node #0,1: 70:[68, 89, 30] Operation: 72-42=30
Exploring Operation: 89-68=21, Resulting Numbers: [42, 72, 21]
Generated Node #0,2: 70:[42, 72, 21] Operation: 89-68=21
Exploring Operation: 89-42=47, Resulting Numbers: [68, 72, 47]
Generated Node #0,3: 70:[68, 72, 47] Operation: 89-42=47
Moving to Node #0,0
Current State: 70:[42, 68, 17], Operations: ['89-72=17']
Exploring Operation: 68/17=4, Resulting Numbers: [42, 4]
Generated Node #0,0,0: 70:[42, 4] Operation: 68/17=4
Exploring Operation: 42-17=25, Resulting Numbers: [68, 25]
Generated Node #0,0,1: 70:[68, 25] Operation: 42-17=25
Exploring Operation: 42+17=59, Resulting Numbers: [68, 59]
Generated Node #0,0,2: 70:[68, 59] Operation: 42+17=59
Exploring Operation: 68-42=26, Resulting Numbers: [17, 26]
Generated Node #0,0,3: 70:[17, 26] Operation: 68-42=26
Moving to Node #0,3
Current State: 70:[68, 72, 47], Operations: ['89-42=47']
Exploring Operation: 72-47=25, Resulting Numbers: [68, 25]
Generated Node #0,3,0: 70:[68, 25] Operation: 72-47=25
Exploring Operation: 68+47=115, Resulting Numbers: [72, 115]
Generated Node #0,3,1: 70:[72, 115] Operation: 68+47=115
Exploring Operation: 72-68=4, Resulting Numbers: [47, 4]
Generated Node #0,3,2: 70:[47, 4] Operation: 72-68=4
Exploring Operation: 68-47=21, Resulting Numbers: [72, 21]
Generated Node #0,3,3: 70:[72, 21] Operation: 68-47=21
Moving to Node #0,2
Current State: 70:[42, 72, 21], Operations: ['89-68=21']
Exploring Operation: 42-21=21, Resulting Numbers: [72, 21]
Generated Node #0,2,0: 70:[72, 21] Operation: 42-21=21
Exploring Operation: 42+21=63, Resulting Numbers: [72, 63]
Generated Node #0,2,1: 70:[72, 63] Operation: 42+21=63
Exploring Operation: 72-42=30, Resulting Numbers: [21, 30]
Generated Node #0,2,2: 70:[21, 30] Operation: 72-42=30
Exploring Operation: 42/21=2, Resulting Numbers: [72, 2]
Generated Node #0,2,3: 70:[72, 2] Operation: 42/21=2
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 70:[72, 2], Operations: ['89-68=21', '42/21=2']
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,70 unequal: No Solution
Exploring Operation: 72*2=144, Resulting Numbers: [144]
144,70 unequal: No Solution
Exploring Operation: 72+2=74, Resulting Numbers: [74]
74,70 unequal: No Solution
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[42, 68, 89, 72], Operations: []
Exploring Operation: 89-68=21, Resulting Numbers: [42, 72, 21]
Generated Node #0,2: 70:[42, 72, 21] Operation: 89-68=21
Moving to Node #0,2
Current State: 70:[42, 72, 21], Operations: ['89-68=21']
Exploring Operation: 42/21=2, Resulting Numbers: [72, 2]
Generated Node #0,2,3: 70:[72, 2] Operation: 42/21=2
Moving to Node #0,2,3
Current State: 70:[72, 2], Operations: ['89-68=21', '42/21=2']
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 |
hs_4
|
sum_heuristic
|
[
57,
75,
48,
9
] | 50 |
[
"75-57=18",
"18/9=2",
"48+2=50"
] |
Current State: 50:[57, 75, 48, 9], Operations: []
Exploring Operation: 75-57=18, Resulting Numbers: [48, 9, 18]
Generated Node #2: [48, 9, 18] from Operation: 75-57=18
Current State: 50:[48, 9, 18], Operations: ['75-57=18']
Exploring Operation: 18/9=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 18/9=2
Current State: 50:[48, 2], Operations: ['75-57=18', '18/9=2']
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
Current State: 50:[57, 75, 48, 9], Operations: []
Exploring Operation: 57-48=9, Resulting Numbers: [75, 9, 9]
Generated Node #0,0: 50:[75, 9, 9] Operation: 57-48=9
Exploring Operation: 75-9=66, Resulting Numbers: [57, 48, 66]
Generated Node #0,1: 50:[57, 48, 66] Operation: 75-9=66
Exploring Operation: 75-48=27, Resulting Numbers: [57, 9, 27]
Generated Node #0,2: 50:[57, 9, 27] Operation: 75-48=27
Exploring Operation: 75-57=18, Resulting Numbers: [48, 9, 18]
Generated Node #0,3: 50:[48, 9, 18] Operation: 75-57=18
Start Sub Search at level 1: Moving to Node #0,2
Current State: 50:[57, 9, 27], Operations: ['75-48=27']
Exploring Operation: 57-27=30, Resulting Numbers: [9, 30]
Generated Node #0,2,0: 50:[9, 30] Operation: 57-27=30
Exploring Operation: 27/9=3, Resulting Numbers: [57, 3]
Generated Node #0,2,1: 50:[57, 3] Operation: 27/9=3
Exploring Operation: 27-9=18, Resulting Numbers: [57, 18]
Generated Node #0,2,2: 50:[57, 18] Operation: 27-9=18
Exploring Operation: 57-9=48, Resulting Numbers: [27, 48]
Generated Node #0,2,3: 50:[27, 48] Operation: 57-9=48
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 50:[27, 48], Operations: ['75-48=27', '57-9=48']
Exploring Operation: 27+48=75, Resulting Numbers: [75]
75,50 unequal: No Solution
Exploring Operation: 48-27=21, Resulting Numbers: [21]
21,50 unequal: No Solution
Exploring Operation: 27*48=1296, Resulting Numbers: [1296]
1296,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 50:[9, 30], Operations: ['75-48=27', '57-27=30']
Exploring Operation: 9*30=270, Resulting Numbers: [270]
270,50 unequal: No Solution
Exploring Operation: 9+30=39, Resulting Numbers: [39]
39,50 unequal: No Solution
Exploring Operation: 30-9=21, Resulting Numbers: [21]
21,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 50:[57, 3], Operations: ['75-48=27', '27/9=3']
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,50 unequal: No Solution
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,50 unequal: No Solution
Exploring Operation: 57*3=171, Resulting Numbers: [171]
171,50 unequal: No Solution
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 50:[57, 18], Operations: ['75-48=27', '27-9=18']
Exploring Operation: 57+18=75, Resulting Numbers: [75]
75,50 unequal: No Solution
Exploring Operation: 57*18=1026, Resulting Numbers: [1026]
1026,50 unequal: No Solution
Exploring Operation: 57-18=39, Resulting Numbers: [39]
39,50 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: 50:[48, 9, 18], Operations: ['75-57=18']
Exploring Operation: 18/9=2, Resulting Numbers: [48, 2]
Generated Node #0,3,0: 50:[48, 2] Operation: 18/9=2
Exploring Operation: 9+18=27, Resulting Numbers: [48, 27]
Generated Node #0,3,1: 50:[48, 27] Operation: 9+18=27
Exploring Operation: 48-18=30, Resulting Numbers: [9, 30]
Generated Node #0,3,2: 50:[9, 30] Operation: 48-18=30
Exploring Operation: 18-9=9, Resulting Numbers: [48, 9]
Generated Node #0,3,3: 50:[48, 9] Operation: 18-9=9
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 50:[48, 2], Operations: ['75-57=18', '18/9=2']
Exploring Operation: 48*2=96, Resulting Numbers: [96]
96,50 unequal: No Solution
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,50 unequal: No Solution
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,50 unequal: No Solution
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[57, 75, 48, 9], Operations: []
Exploring Operation: 75-57=18, Resulting Numbers: [48, 9, 18]
Generated Node #0,3: 50:[48, 9, 18] Operation: 75-57=18
Moving to Node #0,3
Current State: 50:[48, 9, 18], Operations: ['75-57=18']
Exploring Operation: 18/9=2, Resulting Numbers: [48, 2]
Generated Node #0,3,0: 50:[48, 2] Operation: 18/9=2
Moving to Node #0,3,0
Current State: 50:[48, 2], Operations: ['75-57=18', '18/9=2']
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.971354 |
hs_4
|
sum_heuristic
|
[
26,
14,
80,
59
] | 61 |
[
"26+14=40",
"80-59=21",
"40+21=61"
] |
Current State: 61:[26, 14, 80, 59], Operations: []
Exploring Operation: 26+14=40, Resulting Numbers: [80, 59, 40]
Generated Node #2: [80, 59, 40] from Operation: 26+14=40
Current State: 61:[80, 59, 40], Operations: ['26+14=40']
Exploring Operation: 80-59=21, Resulting Numbers: [40, 21]
Generated Node #3: [40, 21] from Operation: 80-59=21
Current State: 61:[40, 21], Operations: ['26+14=40', '80-59=21']
Exploring Operation: 40+21=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
Current State: 61:[26, 14, 80, 59], Operations: []
Exploring Operation: 26+14=40, Resulting Numbers: [80, 59, 40]
Generated Node #0,0: 61:[80, 59, 40] Operation: 26+14=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[80, 59, 40], Operations: ['26+14=40']
Exploring Operation: 80-40=40, Resulting Numbers: [59, 40]
Generated Node #0,0,0: 61:[59, 40] Operation: 80-40=40
Moving to Node #0,0,0
Current State: 61:[59, 40], Operations: ['26+14=40', '80-40=40']
Exploring Operation: 59+40=99, Resulting Numbers: [99]
99,61 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
|
[
21,
44,
75,
20
] | 78 |
[
"44-21=23",
"75-20=55",
"23+55=78"
] |
Current State: 78:[21, 44, 75, 20], Operations: []
Exploring Operation: 44-21=23, Resulting Numbers: [75, 20, 23]
Generated Node #2: [75, 20, 23] from Operation: 44-21=23
Current State: 78:[75, 20, 23], Operations: ['44-21=23']
Exploring Operation: 75-20=55, Resulting Numbers: [23, 55]
Generated Node #3: [23, 55] from Operation: 75-20=55
Current State: 78:[23, 55], Operations: ['44-21=23', '75-20=55']
Exploring Operation: 23+55=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
Current State: 78:[21, 44, 75, 20], Operations: []
Exploring Operation: 21-20=1, Resulting Numbers: [44, 75, 1]
Generated Node #0,0: 78:[44, 75, 1] Operation: 21-20=1
Moving to Node #0,0
Current State: 78:[44, 75, 1], Operations: ['21-20=1']
Exploring Operation: 75-44=31, Resulting Numbers: [1, 31]
Generated Node #0,0,0: 78:[1, 31] Operation: 75-44=31
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 78:[1, 31], Operations: ['21-20=1', '75-44=31']
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,78 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
|
[
48,
62,
65,
37
] | 86 |
[
"48*65=3120",
"62+3120=3182",
"3182/37=86"
] |
Current State: 86:[48, 62, 65, 37], Operations: []
Exploring Operation: 48*65=3120, Resulting Numbers: [62, 37, 3120]
Generated Node #2: [62, 37, 3120] from Operation: 48*65=3120
Current State: 86:[62, 37, 3120], Operations: ['48*65=3120']
Exploring Operation: 62+3120=3182, Resulting Numbers: [37, 3182]
Generated Node #3: [37, 3182] from Operation: 62+3120=3182
Current State: 86:[37, 3182], Operations: ['48*65=3120', '62+3120=3182']
Exploring Operation: 3182/37=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
Current State: 86:[48, 62, 65, 37], Operations: []
Exploring Operation: 65-48=17, Resulting Numbers: [62, 37, 17]
Generated Node #0,0: 86:[62, 37, 17] Operation: 65-48=17
Exploring Operation: 65-62=3, Resulting Numbers: [48, 37, 3]
Generated Node #0,1: 86:[48, 37, 3] Operation: 65-62=3
Exploring Operation: 62-48=14, Resulting Numbers: [65, 37, 14]
Generated Node #0,2: 86:[65, 37, 14] Operation: 62-48=14
Exploring Operation: 62+37=99, Resulting Numbers: [48, 65, 99]
Generated Node #0,3: 86:[48, 65, 99] Operation: 62+37=99
Exploring Operation: 65-37=28, Resulting Numbers: [48, 62, 28]
Generated Node #0,4: 86:[48, 62, 28] Operation: 65-37=28
Moving to Node #0,1
Current State: 86:[48, 37, 3], Operations: ['65-62=3']
Exploring Operation: 48-3=45, Resulting Numbers: [37, 45]
Generated Node #0,1,0: 86:[37, 45] Operation: 48-3=45
Exploring Operation: 48+3=51, Resulting Numbers: [37, 51]
Generated Node #0,1,1: 86:[37, 51] Operation: 48+3=51
Exploring Operation: 48-37=11, Resulting Numbers: [3, 11]
Generated Node #0,1,2: 86:[3, 11] Operation: 48-37=11
Exploring Operation: 37+3=40, Resulting Numbers: [48, 40]
Generated Node #0,1,3: 86:[48, 40] Operation: 37+3=40
Exploring Operation: 48+37=85, Resulting Numbers: [3, 85]
Generated Node #0,1,4: 86:[3, 85] Operation: 48+37=85
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 86:[3, 85], Operations: ['65-62=3', '48+37=85']
Exploring Operation: 3+85=88, Resulting Numbers: [88]
88,86 unequal: No Solution
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,86 unequal: No Solution
Exploring Operation: 3*85=255, Resulting Numbers: [255]
255,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 86:[37, 45], Operations: ['65-62=3', '48-3=45']
Exploring Operation: 37+45=82, Resulting Numbers: [82]
82,86 unequal: No Solution
Exploring Operation: 37*45=1665, Resulting Numbers: [1665]
1665,86 unequal: No Solution
Exploring Operation: 45-37=8, Resulting Numbers: [8]
8,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 86:[48, 40], Operations: ['65-62=3', '37+3=40']
Exploring Operation: 48*40=1920, Resulting Numbers: [1920]
1920,86 unequal: No Solution
Exploring Operation: 48+40=88, Resulting Numbers: [88]
88,86 unequal: No Solution
Exploring Operation: 48-40=8, Resulting Numbers: [8]
8,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 86:[3, 11], Operations: ['65-62=3', '48-37=11']
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,86 unequal: No Solution
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,86 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 86:[37, 51], Operations: ['65-62=3', '48+3=51']
Exploring Operation: 37*51=1887, Resulting Numbers: [1887]
1887,86 unequal: No Solution
Exploring Operation: 37+51=88, Resulting Numbers: [88]
88,86 unequal: No Solution
Exploring Operation: 51-37=14, Resulting Numbers: [14]
14,86 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: 86:[48, 65, 99], Operations: ['62+37=99']
Exploring Operation: 48+99=147, Resulting Numbers: [65, 147]
Generated Node #0,3,0: 86:[65, 147] Operation: 48+99=147
Exploring Operation: 65-48=17, Resulting Numbers: [99, 17]
Generated Node #0,3,1: 86:[99, 17] Operation: 65-48=17
Exploring Operation: 99-65=34, Resulting Numbers: [48, 34]
Generated Node #0,3,2: 86:[48, 34] Operation: 99-65=34
Exploring Operation: 48+65=113, Resulting Numbers: [99, 113]
Generated Node #0,3,3: 86:[99, 113] Operation: 48+65=113
Exploring Operation: 99-48=51, Resulting Numbers: [65, 51]
Generated Node #0,3,4: 86:[65, 51] Operation: 99-48=51
Moving to Node #0,2
Current State: 86:[65, 37, 14], Operations: ['62-48=14']
Exploring Operation: 37+14=51, Resulting Numbers: [65, 51]
Generated Node #0,2,0: 86:[65, 51] Operation: 37+14=51
Exploring Operation: 65+14=79, Resulting Numbers: [37, 79]
Generated Node #0,2,1: 86:[37, 79] Operation: 65+14=79
Exploring Operation: 65-14=51, Resulting Numbers: [37, 51]
Generated Node #0,2,2: 86:[37, 51] Operation: 65-14=51
Exploring Operation: 65+37=102, Resulting Numbers: [14, 102]
Generated Node #0,2,3: 86:[14, 102] Operation: 65+37=102
Exploring Operation: 65-37=28, Resulting Numbers: [14, 28]
Generated Node #0,2,4: 86:[14, 28] Operation: 65-37=28
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 86:[37, 79], Operations: ['62-48=14', '65+14=79']
Exploring Operation: 37*79=2923, Resulting Numbers: [2923]
2923,86 unequal: No Solution
Exploring Operation: 79-37=42, Resulting Numbers: [42]
42,86 unequal: No Solution
Exploring Operation: 37+79=116, Resulting Numbers: [116]
116,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 86:[37, 51], Operations: ['62-48=14', '65-14=51']
Exploring Operation: 51-37=14, Resulting Numbers: [14]
14,86 unequal: No Solution
Exploring Operation: 37+51=88, Resulting Numbers: [88]
88,86 unequal: No Solution
Exploring Operation: 37*51=1887, Resulting Numbers: [1887]
1887,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 86:[14, 28], Operations: ['62-48=14', '65-37=28']
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,86 unequal: No Solution
Exploring Operation: 28/14=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Exploring Operation: 14*28=392, Resulting Numbers: [392]
392,86 unequal: No Solution
Exploring Operation: 14+28=42, Resulting Numbers: [42]
42,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 86:[14, 102], Operations: ['62-48=14', '65+37=102']
Exploring Operation: 102-14=88, Resulting Numbers: [88]
88,86 unequal: No Solution
Exploring Operation: 14+102=116, Resulting Numbers: [116]
116,86 unequal: No Solution
Exploring Operation: 14*102=1428, Resulting Numbers: [1428]
1428,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 86:[65, 51], Operations: ['62-48=14', '37+14=51']
Exploring Operation: 65+51=116, Resulting Numbers: [116]
116,86 unequal: No Solution
Exploring Operation: 65*51=3315, Resulting Numbers: [3315]
3315,86 unequal: No Solution
Exploring Operation: 65-51=14, Resulting Numbers: [14]
14,86 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: 86:[48, 62, 28], Operations: ['65-37=28']
Exploring Operation: 62-28=34, Resulting Numbers: [48, 34]
Generated Node #0,4,0: 86:[48, 34] Operation: 62-28=34
Exploring Operation: 62-48=14, Resulting Numbers: [28, 14]
Generated Node #0,4,1: 86:[28, 14] Operation: 62-48=14
Exploring Operation: 48-28=20, Resulting Numbers: [62, 20]
Generated Node #0,4,2: 86:[62, 20] Operation: 48-28=20
Exploring Operation: 62+28=90, Resulting Numbers: [48, 90]
Generated Node #0,4,3: 86:[48, 90] Operation: 62+28=90
Exploring Operation: 48+28=76, Resulting Numbers: [62, 76]
Generated Node #0,4,4: 86:[62, 76] Operation: 48+28=76
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 86:[48, 90], Operations: ['65-37=28', '62+28=90']
Exploring Operation: 48+90=138, Resulting Numbers: [138]
138,86 unequal: No Solution
Exploring Operation: 48*90=4320, Resulting Numbers: [4320]
4320,86 unequal: No Solution
Exploring Operation: 90-48=42, Resulting Numbers: [42]
42,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 86:[48, 34], Operations: ['65-37=28', '62-28=34']
Exploring Operation: 48-34=14, Resulting Numbers: [14]
14,86 unequal: No Solution
Exploring Operation: 48*34=1632, Resulting Numbers: [1632]
1632,86 unequal: No Solution
Exploring Operation: 48+34=82, Resulting Numbers: [82]
82,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 86:[28, 14], Operations: ['65-37=28', '62-48=14']
Exploring Operation: 28/14=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Exploring Operation: 28+14=42, Resulting Numbers: [42]
42,86 unequal: No Solution
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,86 unequal: No Solution
Exploring Operation: 28*14=392, Resulting Numbers: [392]
392,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 86:[62, 76], Operations: ['65-37=28', '48+28=76']
Exploring Operation: 62+76=138, Resulting Numbers: [138]
138,86 unequal: No Solution
Exploring Operation: 76-62=14, Resulting Numbers: [14]
14,86 unequal: No Solution
Exploring Operation: 62*76=4712, Resulting Numbers: [4712]
4712,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 86:[62, 20], Operations: ['65-37=28', '48-28=20']
Exploring Operation: 62*20=1240, Resulting Numbers: [1240]
1240,86 unequal: No Solution
Exploring Operation: 62-20=42, Resulting Numbers: [42]
42,86 unequal: No Solution
Exploring Operation: 62+20=82, Resulting Numbers: [82]
82,86 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: 86:[62, 37, 17], Operations: ['65-48=17']
Exploring Operation: 62-17=45, Resulting Numbers: [37, 45]
Generated Node #0,0,0: 86:[37, 45] Operation: 62-17=45
Exploring Operation: 62+37=99, Resulting Numbers: [17, 99]
Generated Node #0,0,1: 86:[17, 99] Operation: 62+37=99
Exploring Operation: 62-37=25, Resulting Numbers: [17, 25]
Generated Node #0,0,2: 86:[17, 25] Operation: 62-37=25
Exploring Operation: 37+17=54, Resulting Numbers: [62, 54]
Generated Node #0,0,3: 86:[62, 54] Operation: 37+17=54
Exploring Operation: 62+17=79, Resulting Numbers: [37, 79]
Generated Node #0,0,4: 86:[37, 79] Operation: 62+17=79
Moving to Node #0,0,0
Current State: 86:[37, 45], Operations: ['65-48=17', '62-17=45']
Exploring Operation: 45-37=8, Resulting Numbers: [8]
8,86 unequal: No Solution
Exploring Operation: 37+45=82, Resulting Numbers: [82]
82,86 unequal: No Solution
Exploring Operation: 37*45=1665, Resulting Numbers: [1665]
1665,86 unequal: No Solution
Moving to Node #0,0,4
Current State: 86:[37, 79], Operations: ['65-48=17', '62+17=79']
Exploring Operation: 37*79=2923, Resulting Numbers: [2923]
2923,86 unequal: No Solution
Exploring Operation: 37+79=116, Resulting Numbers: [116]
116,86 unequal: No Solution
Exploring Operation: 79-37=42, Resulting Numbers: [42]
42,86 unequal: No Solution
Moving to Node #0,3,2
Current State: 86:[48, 34], Operations: ['62+37=99', '99-65=34']
Exploring Operation: 48-34=14, Resulting Numbers: [14]
14,86 unequal: No Solution
Exploring Operation: 48+34=82, Resulting Numbers: [82]
82,86 unequal: No Solution
Exploring Operation: 48*34=1632, Resulting Numbers: [1632]
1632,86 unequal: No Solution
Moving to Node #0,3,1
Current State: 86:[99, 17], Operations: ['62+37=99', '65-48=17']
Exploring Operation: 99*17=1683, Resulting Numbers: [1683]
1683,86 unequal: No Solution
Exploring Operation: 99-17=82, Resulting Numbers: [82]
82,86 unequal: No Solution
Exploring Operation: 99+17=116, Resulting Numbers: [116]
116,86 unequal: No Solution
Moving to Node #0,0,1
Current State: 86:[17, 99], Operations: ['65-48=17', '62+37=99']
Exploring Operation: 99-17=82, Resulting Numbers: [82]
82,86 unequal: No Solution
Exploring Operation: 17*99=1683, Resulting Numbers: [1683]
1683,86 unequal: No Solution
Exploring Operation: 17+99=116, Resulting Numbers: [116]
116,86 unequal: No Solution
Moving to Node #0,3,4
Current State: 86:[65, 51], Operations: ['62+37=99', '99-48=51']
Exploring Operation: 65*51=3315, Resulting Numbers: [3315]
3315,86 unequal: No Solution
Exploring Operation: 65-51=14, Resulting Numbers: [14]
14,86 unequal: No Solution
Exploring Operation: 65+51=116, Resulting Numbers: [116]
116,86 unequal: No Solution
Moving to Node #0,0,3
Current State: 86:[62, 54], Operations: ['65-48=17', '37+17=54']
Exploring Operation: 62-54=8, Resulting Numbers: [8]
8,86 unequal: No Solution
Exploring Operation: 62+54=116, Resulting Numbers: [116]
116,86 unequal: No Solution
Exploring Operation: 62*54=3348, Resulting Numbers: [3348]
3348,86 unequal: No Solution
Moving to Node #0,0,2
Current State: 86:[17, 25], Operations: ['65-48=17', '62-37=25']
Exploring Operation: 17*25=425, Resulting Numbers: [425]
425,86 unequal: No Solution
Exploring Operation: 17+25=42, Resulting Numbers: [42]
42,86 unequal: No Solution
Exploring Operation: 25-17=8, Resulting Numbers: [8]
8,86 unequal: No Solution
Moving to Node #0,3,3
Current State: 86:[99, 113], Operations: ['62+37=99', '48+65=113']
Exploring Operation: 99+113=212, Resulting Numbers: [212]
212,86 unequal: No Solution
Exploring Operation: 113-99=14, Resulting Numbers: [14]
14,86 unequal: No Solution
Exploring Operation: 99*113=11187, Resulting Numbers: [11187]
11187,86 unequal: No Solution
Moving to Node #0,3,0
Current State: 86:[65, 147], Operations: ['62+37=99', '48+99=147']
Exploring Operation: 65+147=212, Resulting Numbers: [212]
212,86 unequal: No Solution
Exploring Operation: 65*147=9555, Resulting Numbers: [9555]
9555,86 unequal: No Solution
Exploring Operation: 147-65=82, Resulting Numbers: [82]
82,86 unequal: No Solution
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
3,
34,
10,
98
] | 34 |
[
"3*10=30",
"98-34=64",
"64-30=34"
] |
Current State: 34:[3, 34, 10, 98], Operations: []
Exploring Operation: 3*10=30, Resulting Numbers: [34, 98, 30]
Generated Node #2: [34, 98, 30] from Operation: 3*10=30
Current State: 34:[34, 98, 30], Operations: ['3*10=30']
Exploring Operation: 98-34=64, Resulting Numbers: [30, 64]
Generated Node #3: [30, 64] from Operation: 98-34=64
Current State: 34:[30, 64], Operations: ['3*10=30', '98-34=64']
Exploring Operation: 64-30=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
Current State: 34:[3, 34, 10, 98], Operations: []
Exploring Operation: 98-34=64, Resulting Numbers: [3, 10, 64]
Generated Node #0,0: 34:[3, 10, 64] Operation: 98-34=64
Start Sub Search at level 1: Moving to Node #0,0
Current State: 34:[3, 10, 64], Operations: ['98-34=64']
Exploring Operation: 64-10=54, Resulting Numbers: [3, 54]
Generated Node #0,0,0: 34:[3, 54] Operation: 64-10=54
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 34:[3, 54], Operations: ['98-34=64', '64-10=54']
Exploring Operation: 54/3=18, Resulting Numbers: [18]
18,34 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
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
30,
39,
39,
21
] | 69 |
[
"39-30=9",
"39+21=60",
"9+60=69"
] |
Current State: 69:[30, 39, 39, 21], Operations: []
Exploring Operation: 39-30=9, Resulting Numbers: [21, 9]
Generated Node #2: [21, 9] from Operation: 39-30=9
Current State: 69:[21, 9], Operations: ['39-30=9']
Exploring Operation: 39+21=60, Resulting Numbers: [9, 60]
Generated Node #3: [9, 60] from Operation: 39+21=60
Current State: 69:[9, 60], Operations: ['39-30=9', '39+21=60']
Exploring Operation: 9+60=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
Current State: 69:[30, 39, 39, 21], Operations: []
Exploring Operation: 39/39=1, Resulting Numbers: [30, 21, 1]
Generated Node #0,0: 69:[30, 21, 1] Operation: 39/39=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[30, 21, 1], Operations: ['39/39=1']
Exploring Operation: 30-21=9, Resulting Numbers: [1, 9]
Generated Node #0,0,0: 69:[1, 9] Operation: 30-21=9
Moving to Node #0,0,0
Current State: 69:[1, 9], Operations: ['39/39=1', '30-21=9']
Exploring Operation: 9-1=8, Resulting Numbers: [8]
8,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
7,
78,
3,
93
] | 50 |
[
"78+93=171",
"171/3=57",
"57-7=50"
] |
Current State: 50:[7, 78, 3, 93], Operations: []
Exploring Operation: 78+93=171, Resulting Numbers: [7, 3, 171]
Generated Node #2: [7, 3, 171] from Operation: 78+93=171
Current State: 50:[7, 3, 171], Operations: ['78+93=171']
Exploring Operation: 171/3=57, Resulting Numbers: [7, 57]
Generated Node #3: [7, 57] from Operation: 171/3=57
Current State: 50:[7, 57], Operations: ['78+93=171', '171/3=57']
Exploring Operation: 57-7=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
Current State: 50:[7, 78, 3, 93], Operations: []
Exploring Operation: 93/3=31, Resulting Numbers: [7, 78, 31]
Generated Node #0,0: 50:[7, 78, 31] Operation: 93/3=31
Exploring Operation: 78/3=26, Resulting Numbers: [7, 93, 26]
Generated Node #0,1: 50:[7, 93, 26] Operation: 78/3=26
Exploring Operation: 93-78=15, Resulting Numbers: [7, 3, 15]
Generated Node #0,2: 50:[7, 3, 15] Operation: 93-78=15
Start Sub Search at level 1: Moving to Node #0,2
Current State: 50:[7, 3, 15], Operations: ['93-78=15']
Exploring Operation: 7+15=22, Resulting Numbers: [3, 22]
Generated Node #0,2,0: 50:[3, 22] Operation: 7+15=22
Exploring Operation: 15-7=8, Resulting Numbers: [3, 8]
Generated Node #0,2,1: 50:[3, 8] Operation: 15-7=8
Exploring Operation: 15/3=5, Resulting Numbers: [7, 5]
Generated Node #0,2,2: 50:[7, 5] Operation: 15/3=5
Moving to Node #0,2,2
Current State: 50:[7, 5], Operations: ['93-78=15', '15/3=5']
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,50 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,50 unequal: No Solution
Exploring Operation: 7+5=12, Resulting Numbers: [12]
12,50 unequal: No Solution
Moving to Node #0,2,1
Current State: 50:[3, 8], Operations: ['93-78=15', '15-7=8']
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,50 unequal: No Solution
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,50 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,50 unequal: No Solution
Moving to Node #0,2,0
Current State: 50:[3, 22], Operations: ['93-78=15', '7+15=22']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,50 unequal: No Solution
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,50 unequal: No Solution
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[7, 78, 31], Operations: ['93/3=31']
Exploring Operation: 78-31=47, Resulting Numbers: [7, 47]
Generated Node #0,0,0: 50:[7, 47] Operation: 78-31=47
Exploring Operation: 31-7=24, Resulting Numbers: [78, 24]
Generated Node #0,0,1: 50:[78, 24] Operation: 31-7=24
Exploring Operation: 78-7=71, Resulting Numbers: [31, 71]
Generated Node #0,0,2: 50:[31, 71] Operation: 78-7=71
Moving to Node #0,0,0
Current State: 50:[7, 47], Operations: ['93/3=31', '78-31=47']
Exploring Operation: 7+47=54, Resulting Numbers: [54]
54,50 unequal: No Solution
Exploring Operation: 47-7=40, Resulting Numbers: [40]
40,50 unequal: No Solution
Exploring Operation: 7*47=329, Resulting Numbers: [329]
329,50 unequal: No Solution
Moving to Node #0,0,2
Current State: 50:[31, 71], Operations: ['93/3=31', '78-7=71']
Exploring Operation: 71-31=40, Resulting Numbers: [40]
40,50 unequal: No Solution
Exploring Operation: 31+71=102, Resulting Numbers: [102]
102,50 unequal: No Solution
Exploring Operation: 31*71=2201, Resulting Numbers: [2201]
2201,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[78, 24], Operations: ['93/3=31', '31-7=24']
Exploring Operation: 78-24=54, Resulting Numbers: [54]
54,50 unequal: No Solution
Exploring Operation: 78+24=102, Resulting Numbers: [102]
102,50 unequal: No Solution
Exploring Operation: 78*24=1872, Resulting Numbers: [1872]
1872,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[7, 93, 26], Operations: ['78/3=26']
Exploring Operation: 93-26=67, Resulting Numbers: [7, 67]
Generated Node #0,1,0: 50:[7, 67] Operation: 93-26=67
Exploring Operation: 26-7=19, Resulting Numbers: [93, 19]
Generated Node #0,1,1: 50:[93, 19] Operation: 26-7=19
Exploring Operation: 93-7=86, Resulting Numbers: [26, 86]
Generated Node #0,1,2: 50:[26, 86] Operation: 93-7=86
Moving to Node #0,1,0
Current State: 50:[7, 67], Operations: ['78/3=26', '93-26=67']
Exploring Operation: 7+67=74, Resulting Numbers: [74]
74,50 unequal: No Solution
Exploring Operation: 67-7=60, Resulting Numbers: [60]
60,50 unequal: No Solution
Exploring Operation: 7*67=469, Resulting Numbers: [469]
469,50 unequal: No Solution
Moving to Node #0,1,2
Current State: 50:[26, 86], Operations: ['78/3=26', '93-7=86']
Exploring Operation: 86-26=60, Resulting Numbers: [60]
60,50 unequal: No Solution
Exploring Operation: 26+86=112, Resulting Numbers: [112]
112,50 unequal: No Solution
Exploring Operation: 26*86=2236, Resulting Numbers: [2236]
2236,50 unequal: No Solution
Moving to Node #0,1,1
Current State: 50:[93, 19], Operations: ['78/3=26', '26-7=19']
Exploring Operation: 93-19=74, Resulting Numbers: [74]
74,50 unequal: No Solution
Exploring Operation: 93+19=112, Resulting Numbers: [112]
112,50 unequal: No Solution
Exploring Operation: 93*19=1767, Resulting Numbers: [1767]
1767,50 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
|
[
79,
7,
92,
15
] | 76 |
[
"92-79=13",
"7*13=91",
"91-15=76"
] |
Current State: 76:[79, 7, 92, 15], Operations: []
Exploring Operation: 92-79=13, Resulting Numbers: [7, 15, 13]
Generated Node #2: [7, 15, 13] from Operation: 92-79=13
Current State: 76:[7, 15, 13], Operations: ['92-79=13']
Exploring Operation: 7*13=91, Resulting Numbers: [15, 91]
Generated Node #3: [15, 91] from Operation: 7*13=91
Current State: 76:[15, 91], Operations: ['92-79=13', '7*13=91']
Exploring Operation: 91-15=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
Current State: 76:[79, 7, 92, 15], Operations: []
Exploring Operation: 92-79=13, Resulting Numbers: [7, 15, 13]
Generated Node #0,0: 76:[7, 15, 13] Operation: 92-79=13
Exploring Operation: 92-15=77, Resulting Numbers: [79, 7, 77]
Generated Node #0,1: 76:[79, 7, 77] Operation: 92-15=77
Exploring Operation: 7+15=22, Resulting Numbers: [79, 92, 22]
Generated Node #0,2: 76:[79, 92, 22] Operation: 7+15=22
Exploring Operation: 92-7=85, Resulting Numbers: [79, 15, 85]
Generated Node #0,3: 76:[79, 15, 85] Operation: 92-7=85
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[79, 7, 77], Operations: ['92-15=77']
Exploring Operation: 79-77=2, Resulting Numbers: [7, 2]
Generated Node #0,1,0: 76:[7, 2] Operation: 79-77=2
Exploring Operation: 77-7=70, Resulting Numbers: [79, 70]
Generated Node #0,1,1: 76:[79, 70] Operation: 77-7=70
Exploring Operation: 79-7=72, Resulting Numbers: [77, 72]
Generated Node #0,1,2: 76:[77, 72] Operation: 79-7=72
Exploring Operation: 77/7=11, Resulting Numbers: [79, 11]
Generated Node #0,1,3: 76:[79, 11] Operation: 77/7=11
Moving to Node #0,1,0
Current State: 76:[7, 2], Operations: ['92-15=77', '79-77=2']
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,76 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Moving to Node #0,1,2
Current State: 76:[77, 72], Operations: ['92-15=77', '79-7=72']
Exploring Operation: 77*72=5544, Resulting Numbers: [5544]
5544,76 unequal: No Solution
Exploring Operation: 77-72=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Exploring Operation: 77+72=149, Resulting Numbers: [149]
149,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[79, 70], Operations: ['92-15=77', '77-7=70']
Exploring Operation: 79+70=149, Resulting Numbers: [149]
149,76 unequal: No Solution
Exploring Operation: 79*70=5530, Resulting Numbers: [5530]
5530,76 unequal: No Solution
Exploring Operation: 79-70=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Moving to Node #0,1,3
Current State: 76:[79, 11], Operations: ['92-15=77', '77/7=11']
Exploring Operation: 79*11=869, Resulting Numbers: [869]
869,76 unequal: No Solution
Exploring Operation: 79-11=68, Resulting Numbers: [68]
68,76 unequal: No Solution
Exploring Operation: 79+11=90, Resulting Numbers: [90]
90,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[7, 15, 13], Operations: ['92-79=13']
Exploring Operation: 7+13=20, Resulting Numbers: [15, 20]
Generated Node #0,0,0: 76:[15, 20] Operation: 7+13=20
Exploring Operation: 7+15=22, Resulting Numbers: [13, 22]
Generated Node #0,0,1: 76:[13, 22] Operation: 7+15=22
Exploring Operation: 15-13=2, Resulting Numbers: [7, 2]
Generated Node #0,0,2: 76:[7, 2] Operation: 15-13=2
Exploring Operation: 13-7=6, Resulting Numbers: [15, 6]
Generated Node #0,0,3: 76:[15, 6] Operation: 13-7=6
Moving to Node #0,0,2
Current State: 76:[7, 2], Operations: ['92-79=13', '15-13=2']
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,76 unequal: No Solution
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Moving to Node #0,0,0
Current State: 76:[15, 20], Operations: ['92-79=13', '7+13=20']
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Exploring Operation: 15*20=300, Resulting Numbers: [300]
300,76 unequal: No Solution
Exploring Operation: 15+20=35, Resulting Numbers: [35]
35,76 unequal: No Solution
Moving to Node #0,0,3
Current State: 76:[15, 6], Operations: ['92-79=13', '13-7=6']
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,76 unequal: No Solution
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,76 unequal: No Solution
Moving to Node #0,0,1
Current State: 76:[13, 22], Operations: ['92-79=13', '7+15=22']
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 13+22=35, Resulting Numbers: [35]
35,76 unequal: No Solution
Exploring Operation: 13*22=286, Resulting Numbers: [286]
286,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 76:[79, 15, 85], Operations: ['92-7=85']
Exploring Operation: 85-79=6, Resulting Numbers: [15, 6]
Generated Node #0,3,0: 76:[15, 6] Operation: 85-79=6
Exploring Operation: 85-15=70, Resulting Numbers: [79, 70]
Generated Node #0,3,1: 76:[79, 70] Operation: 85-15=70
Exploring Operation: 79+15=94, Resulting Numbers: [85, 94]
Generated Node #0,3,2: 76:[85, 94] Operation: 79+15=94
Exploring Operation: 79-15=64, Resulting Numbers: [85, 64]
Generated Node #0,3,3: 76:[85, 64] Operation: 79-15=64
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 76:[15, 6], Operations: ['92-7=85', '85-79=6']
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,76 unequal: No Solution
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 76:[79, 70], Operations: ['92-7=85', '85-15=70']
Exploring Operation: 79-70=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 79+70=149, Resulting Numbers: [149]
149,76 unequal: No Solution
Exploring Operation: 79*70=5530, Resulting Numbers: [5530]
5530,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 76:[85, 64], Operations: ['92-7=85', '79-15=64']
Exploring Operation: 85*64=5440, Resulting Numbers: [5440]
5440,76 unequal: No Solution
Exploring Operation: 85-64=21, Resulting Numbers: [21]
21,76 unequal: No Solution
Exploring Operation: 85+64=149, Resulting Numbers: [149]
149,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 76:[85, 94], Operations: ['92-7=85', '79+15=94']
Exploring Operation: 85*94=7990, Resulting Numbers: [7990]
7990,76 unequal: No Solution
Exploring Operation: 85+94=179, Resulting Numbers: [179]
179,76 unequal: No Solution
Exploring Operation: 94-85=9, Resulting Numbers: [9]
9,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 76:[79, 92, 22], Operations: ['7+15=22']
Exploring Operation: 92-22=70, Resulting Numbers: [79, 70]
Generated Node #0,2,0: 76:[79, 70] Operation: 92-22=70
Exploring Operation: 92-79=13, Resulting Numbers: [22, 13]
Generated Node #0,2,1: 76:[22, 13] Operation: 92-79=13
Exploring Operation: 79+22=101, Resulting Numbers: [92, 101]
Generated Node #0,2,2: 76:[92, 101] Operation: 79+22=101
Exploring Operation: 79-22=57, Resulting Numbers: [92, 57]
Generated Node #0,2,3: 76:[92, 57] Operation: 79-22=57
Moving to Node #0,2,0
Current State: 76:[79, 70], Operations: ['7+15=22', '92-22=70']
Exploring Operation: 79+70=149, Resulting Numbers: [149]
149,76 unequal: No Solution
Exploring Operation: 79*70=5530, Resulting Numbers: [5530]
5530,76 unequal: No Solution
Exploring Operation: 79-70=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Moving to Node #0,2,1
Current State: 76:[22, 13], Operations: ['7+15=22', '92-79=13']
Exploring Operation: 22*13=286, Resulting Numbers: [286]
286,76 unequal: No Solution
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 22+13=35, Resulting Numbers: [35]
35,76 unequal: No Solution
Moving to Node #0,2,3
Current State: 76:[92, 57], Operations: ['7+15=22', '79-22=57']
Exploring Operation: 92+57=149, Resulting Numbers: [149]
149,76 unequal: No Solution
Exploring Operation: 92*57=5244, Resulting Numbers: [5244]
5244,76 unequal: No Solution
Exploring Operation: 92-57=35, Resulting Numbers: [35]
35,76 unequal: No Solution
Moving to Node #0,2,2
Current State: 76:[92, 101], Operations: ['7+15=22', '79+22=101']
Exploring Operation: 92+101=193, Resulting Numbers: [193]
193,76 unequal: No Solution
Exploring Operation: 101-92=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 92*101=9292, Resulting Numbers: [9292]
9292,76 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
|
[
81,
83,
87,
17
] | 91 |
[
"83+87=170",
"170/17=10",
"81+10=91"
] |
Current State: 91:[81, 83, 87, 17], Operations: []
Exploring Operation: 83+87=170, Resulting Numbers: [81, 17, 170]
Generated Node #2: [81, 17, 170] from Operation: 83+87=170
Current State: 91:[81, 17, 170], Operations: ['83+87=170']
Exploring Operation: 170/17=10, Resulting Numbers: [81, 10]
Generated Node #3: [81, 10] from Operation: 170/17=10
Current State: 91:[81, 10], Operations: ['83+87=170', '170/17=10']
Exploring Operation: 81+10=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
Current State: 91:[81, 83, 87, 17], Operations: []
Exploring Operation: 87-83=4, Resulting Numbers: [81, 17, 4]
Generated Node #0,0: 91:[81, 17, 4] Operation: 87-83=4
Exploring Operation: 83-81=2, Resulting Numbers: [87, 17, 2]
Generated Node #0,1: 91:[87, 17, 2] Operation: 83-81=2
Exploring Operation: 87-81=6, Resulting Numbers: [83, 17, 6]
Generated Node #0,2: 91:[83, 17, 6] Operation: 87-81=6
Moving to Node #0,1
Current State: 91:[87, 17, 2], Operations: ['83-81=2']
Exploring Operation: 87+2=89, Resulting Numbers: [17, 89]
Generated Node #0,1,0: 91:[17, 89] Operation: 87+2=89
Exploring Operation: 87-2=85, Resulting Numbers: [17, 85]
Generated Node #0,1,1: 91:[17, 85] Operation: 87-2=85
Exploring Operation: 17-2=15, Resulting Numbers: [87, 15]
Generated Node #0,1,2: 91:[87, 15] Operation: 17-2=15
Moving to Node #0,2
Current State: 91:[83, 17, 6], Operations: ['87-81=6']
Exploring Operation: 83+6=89, Resulting Numbers: [17, 89]
Generated Node #0,2,0: 91:[17, 89] Operation: 83+6=89
Exploring Operation: 17-6=11, Resulting Numbers: [83, 11]
Generated Node #0,2,1: 91:[83, 11] Operation: 17-6=11
Exploring Operation: 83+17=100, Resulting Numbers: [6, 100]
Generated Node #0,2,2: 91:[6, 100] Operation: 83+17=100
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 91:[17, 89], Operations: ['87-81=6', '83+6=89']
Exploring Operation: 89-17=72, Resulting Numbers: [72]
72,91 unequal: No Solution
Exploring Operation: 17+89=106, Resulting Numbers: [106]
106,91 unequal: No Solution
Exploring Operation: 17*89=1513, Resulting Numbers: [1513]
1513,91 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 #0,2,1
Current State: 91:[83, 11], Operations: ['87-81=6', '17-6=11']
Exploring Operation: 83*11=913, Resulting Numbers: [913]
913,91 unequal: No Solution
Exploring Operation: 83-11=72, Resulting Numbers: [72]
72,91 unequal: No Solution
Exploring Operation: 83+11=94, Resulting Numbers: [94]
94,91 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 #0,2,2
Current State: 91:[6, 100], Operations: ['87-81=6', '83+17=100']
Exploring Operation: 6*100=600, Resulting Numbers: [600]
600,91 unequal: No Solution
Exploring Operation: 6+100=106, Resulting Numbers: [106]
106,91 unequal: No Solution
Exploring Operation: 100-6=94, Resulting Numbers: [94]
94,91 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: 91:[81, 17, 4], Operations: ['87-83=4']
Exploring Operation: 17-4=13, Resulting Numbers: [81, 13]
Generated Node #0,0,0: 91:[81, 13] Operation: 17-4=13
Exploring Operation: 81+17=98, Resulting Numbers: [4, 98]
Generated Node #0,0,1: 91:[4, 98] Operation: 81+17=98
Exploring Operation: 81+4=85, Resulting Numbers: [17, 85]
Generated Node #0,0,2: 91:[17, 85] Operation: 81+4=85
Moving to Node #0,1,0
Current State: 91:[17, 89], Operations: ['83-81=2', '87+2=89']
Exploring Operation: 89-17=72, Resulting Numbers: [72]
72,91 unequal: No Solution
Exploring Operation: 17*89=1513, Resulting Numbers: [1513]
1513,91 unequal: No Solution
Exploring Operation: 17+89=106, Resulting Numbers: [106]
106,91 unequal: No Solution
Moving to Node #0,1,2
Current State: 91:[87, 15], Operations: ['83-81=2', '17-2=15']
Exploring Operation: 87+15=102, Resulting Numbers: [102]
102,91 unequal: No Solution
Exploring Operation: 87-15=72, Resulting Numbers: [72]
72,91 unequal: No Solution
Exploring Operation: 87*15=1305, Resulting Numbers: [1305]
1305,91 unequal: No Solution
Moving to Node #0,1,1
Current State: 91:[17, 85], Operations: ['83-81=2', '87-2=85']
Exploring Operation: 85-17=68, Resulting Numbers: [68]
68,91 unequal: No Solution
Exploring Operation: 85/17=5, Resulting Numbers: [5]
5,91 unequal: No Solution
Exploring Operation: 17+85=102, Resulting Numbers: [102]
102,91 unequal: No Solution
Moving to Node #0,0,2
Current State: 91:[17, 85], Operations: ['87-83=4', '81+4=85']
Exploring Operation: 17+85=102, Resulting Numbers: [102]
102,91 unequal: No Solution
Exploring Operation: 85/17=5, Resulting Numbers: [5]
5,91 unequal: No Solution
Exploring Operation: 85-17=68, Resulting Numbers: [68]
68,91 unequal: No Solution
Moving to Node #0,0,1
Current State: 91:[4, 98], Operations: ['87-83=4', '81+17=98']
Exploring Operation: 4*98=392, Resulting Numbers: [392]
392,91 unequal: No Solution
Exploring Operation: 98-4=94, Resulting Numbers: [94]
94,91 unequal: No Solution
Exploring Operation: 4+98=102, Resulting Numbers: [102]
102,91 unequal: No Solution
Moving to Node #0,0,0
Current State: 91:[81, 13], Operations: ['87-83=4', '17-4=13']
Exploring Operation: 81*13=1053, Resulting Numbers: [1053]
1053,91 unequal: No Solution
Exploring Operation: 81-13=68, Resulting Numbers: [68]
68,91 unequal: No Solution
Exploring Operation: 81+13=94, Resulting Numbers: [94]
94,91 unequal: No Solution
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
78,
60,
90,
77
] | 66 |
[
"90-77=13",
"78/13=6",
"60+6=66"
] |
Current State: 66:[78, 60, 90, 77], Operations: []
Exploring Operation: 90-77=13, Resulting Numbers: [78, 60, 13]
Generated Node #2: [78, 60, 13] from Operation: 90-77=13
Current State: 66:[78, 60, 13], Operations: ['90-77=13']
Exploring Operation: 78/13=6, Resulting Numbers: [60, 6]
Generated Node #3: [60, 6] from Operation: 78/13=6
Current State: 66:[60, 6], Operations: ['90-77=13', '78/13=6']
Exploring Operation: 60+6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
Current State: 66:[78, 60, 90, 77], Operations: []
Exploring Operation: 90-78=12, Resulting Numbers: [60, 77, 12]
Generated Node #0,0: 66:[60, 77, 12] Operation: 90-78=12
Exploring Operation: 90-77=13, Resulting Numbers: [78, 60, 13]
Generated Node #0,1: 66:[78, 60, 13] Operation: 90-77=13
Moving to Node #0,0
Current State: 66:[60, 77, 12], Operations: ['90-78=12']
Exploring Operation: 77-12=65, Resulting Numbers: [60, 65]
Generated Node #0,0,0: 66:[60, 65] Operation: 77-12=65
Exploring Operation: 77-60=17, Resulting Numbers: [12, 17]
Generated Node #0,0,1: 66:[12, 17] Operation: 77-60=17
Moving to Node #0,1
Current State: 66:[78, 60, 13], Operations: ['90-77=13']
Exploring Operation: 78/13=6, Resulting Numbers: [60, 6]
Generated Node #0,1,0: 66:[60, 6] Operation: 78/13=6
Exploring Operation: 78-60=18, Resulting Numbers: [13, 18]
Generated Node #0,1,1: 66:[13, 18] Operation: 78-60=18
Moving to Node #0,0,1
Current State: 66:[12, 17], Operations: ['90-78=12', '77-60=17']
Exploring Operation: 12+17=29, Resulting Numbers: [29]
29,66 unequal: No Solution
Exploring Operation: 17-12=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Moving to Node #0,1,0
Current State: 66:[60, 6], Operations: ['90-77=13', '78/13=6']
Exploring Operation: 60+6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[78, 60, 90, 77], Operations: []
Exploring Operation: 90-77=13, Resulting Numbers: [78, 60, 13]
Generated Node #0,1: 66:[78, 60, 13] Operation: 90-77=13
Moving to Node #0,1
Current State: 66:[78, 60, 13], Operations: ['90-77=13']
Exploring Operation: 78/13=6, Resulting Numbers: [60, 6]
Generated Node #0,1,0: 66:[60, 6] Operation: 78/13=6
Moving to Node #0,1,0
Current State: 66:[60, 6], Operations: ['90-77=13', '78/13=6']
Exploring Operation: 60+6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 0.988715 |
hs_2
|
sum_heuristic
|
[
32,
7,
3,
76
] | 41 |
[
"32+7=39",
"3*39=117",
"117-76=41"
] |
Current State: 41:[32, 7, 3, 76], Operations: []
Exploring Operation: 32+7=39, Resulting Numbers: [3, 76, 39]
Generated Node #2: [3, 76, 39] from Operation: 32+7=39
Current State: 41:[3, 76, 39], Operations: ['32+7=39']
Exploring Operation: 3*39=117, Resulting Numbers: [76, 117]
Generated Node #3: [76, 117] from Operation: 3*39=117
Current State: 41:[76, 117], Operations: ['32+7=39', '3*39=117']
Exploring Operation: 117-76=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
Current State: 41:[32, 7, 3, 76], Operations: []
Exploring Operation: 7*3=21, Resulting Numbers: [32, 76, 21]
Generated Node #0,0: 41:[32, 76, 21] Operation: 7*3=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[32, 76, 21], Operations: ['7*3=21']
Exploring Operation: 76-32=44, Resulting Numbers: [21, 44]
Generated Node #0,0,0: 41:[21, 44] Operation: 76-32=44
Moving to Node #0,0,0
Current State: 41:[21, 44], Operations: ['7*3=21', '76-32=44']
Exploring Operation: 44-21=23, Resulting Numbers: [23]
23,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
87,
39,
61,
13
] | 23 |
[
"87-61=26",
"39/13=3",
"26-3=23"
] |
Current State: 23:[87, 39, 61, 13], Operations: []
Exploring Operation: 87-61=26, Resulting Numbers: [39, 13, 26]
Generated Node #2: [39, 13, 26] from Operation: 87-61=26
Current State: 23:[39, 13, 26], Operations: ['87-61=26']
Exploring Operation: 39/13=3, Resulting Numbers: [26, 3]
Generated Node #3: [26, 3] from Operation: 39/13=3
Current State: 23:[26, 3], Operations: ['87-61=26', '39/13=3']
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
Current State: 23:[87, 39, 61, 13], Operations: []
Exploring Operation: 87-39=48, Resulting Numbers: [61, 13, 48]
Generated Node #0,0: 23:[61, 13, 48] Operation: 87-39=48
Exploring Operation: 87-61=26, Resulting Numbers: [39, 13, 26]
Generated Node #0,1: 23:[39, 13, 26] Operation: 87-61=26
Moving to Node #0,1
Current State: 23:[39, 13, 26], Operations: ['87-61=26']
Exploring Operation: 39-13=26, Resulting Numbers: [26, 26]
Generated Node #0,1,0: 23:[26, 26] Operation: 39-13=26
Exploring Operation: 39-26=13, Resulting Numbers: [13, 13]
Generated Node #0,1,1: 23:[13, 13] Operation: 39-26=13
Moving to Node #0,0
Current State: 23:[61, 13, 48], Operations: ['87-39=48']
Exploring Operation: 61-13=48, Resulting Numbers: [48, 48]
Generated Node #0,0,0: 23:[48, 48] Operation: 61-13=48
Exploring Operation: 61-48=13, Resulting Numbers: [13, 13]
Generated Node #0,0,1: 23:[13, 13] Operation: 61-48=13
Moving to Node #0,1,0
Current State: 23:[26, 26], Operations: ['87-61=26', '39-13=26']
Exploring Operation: 26-26=0, Resulting Numbers: [0]
0,23 unequal: No Solution
Exploring Operation: 26/26=1, Resulting Numbers: [1]
1,23 unequal: No Solution
Moving to Node #0,0,1
Current State: 23:[13, 13], Operations: ['87-39=48', '61-48=13']
Exploring Operation: 13/13=1, Resulting Numbers: [1]
1,23 unequal: No Solution
Exploring Operation: 13+13=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Moving to Node #0,1,1
Current State: 23:[13, 13], Operations: ['87-61=26', '39-26=13']
Exploring Operation: 13+13=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 13/13=1, Resulting Numbers: [1]
1,23 unequal: No Solution
Moving to Node #0,0,0
Current State: 23:[48, 48], Operations: ['87-39=48', '61-13=48']
Exploring Operation: 48-48=0, Resulting Numbers: [0]
0,23 unequal: No Solution
Exploring Operation: 48/48=1, Resulting Numbers: [1]
1,23 unequal: No Solution
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
48,
15,
59,
21
] | 51 |
[
"21-15=6",
"48/6=8",
"59-8=51"
] |
Current State: 51:[48, 15, 59, 21], Operations: []
Exploring Operation: 21-15=6, Resulting Numbers: [48, 59, 6]
Generated Node #2: [48, 59, 6] from Operation: 21-15=6
Current State: 51:[48, 59, 6], Operations: ['21-15=6']
Exploring Operation: 48/6=8, Resulting Numbers: [59, 8]
Generated Node #3: [59, 8] from Operation: 48/6=8
Current State: 51:[59, 8], Operations: ['21-15=6', '48/6=8']
Exploring Operation: 59-8=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
Current State: 51:[48, 15, 59, 21], Operations: []
Exploring Operation: 48-21=27, Resulting Numbers: [15, 59, 27]
Generated Node #0,0: 51:[15, 59, 27] Operation: 48-21=27
Exploring Operation: 59-48=11, Resulting Numbers: [15, 21, 11]
Generated Node #0,1: 51:[15, 21, 11] Operation: 59-48=11
Exploring Operation: 59-21=38, Resulting Numbers: [48, 15, 38]
Generated Node #0,2: 51:[48, 15, 38] Operation: 59-21=38
Exploring Operation: 21-15=6, Resulting Numbers: [48, 59, 6]
Generated Node #0,3: 51:[48, 59, 6] Operation: 21-15=6
Exploring Operation: 59-15=44, Resulting Numbers: [48, 21, 44]
Generated Node #0,4: 51:[48, 21, 44] Operation: 59-15=44
Moving to Node #0,1
Current State: 51:[15, 21, 11], Operations: ['59-48=11']
Exploring Operation: 21-15=6, Resulting Numbers: [11, 6]
Generated Node #0,1,0: 51:[11, 6] Operation: 21-15=6
Exploring Operation: 15-11=4, Resulting Numbers: [21, 4]
Generated Node #0,1,1: 51:[21, 4] Operation: 15-11=4
Exploring Operation: 15+11=26, Resulting Numbers: [21, 26]
Generated Node #0,1,2: 51:[21, 26] Operation: 15+11=26
Exploring Operation: 21-11=10, Resulting Numbers: [15, 10]
Generated Node #0,1,3: 51:[15, 10] Operation: 21-11=10
Exploring Operation: 21+11=32, Resulting Numbers: [15, 32]
Generated Node #0,1,4: 51:[15, 32] Operation: 21+11=32
Moving to Node #0,4
Current State: 51:[48, 21, 44], Operations: ['59-15=44']
Exploring Operation: 48+21=69, Resulting Numbers: [44, 69]
Generated Node #0,4,0: 51:[44, 69] Operation: 48+21=69
Exploring Operation: 48-21=27, Resulting Numbers: [44, 27]
Generated Node #0,4,1: 51:[44, 27] Operation: 48-21=27
Exploring Operation: 44-21=23, Resulting Numbers: [48, 23]
Generated Node #0,4,2: 51:[48, 23] Operation: 44-21=23
Exploring Operation: 48-44=4, Resulting Numbers: [21, 4]
Generated Node #0,4,3: 51:[21, 4] Operation: 48-44=4
Exploring Operation: 21+44=65, Resulting Numbers: [48, 65]
Generated Node #0,4,4: 51:[48, 65] Operation: 21+44=65
Moving to Node #0,3
Current State: 51:[48, 59, 6], Operations: ['21-15=6']
Exploring Operation: 59-48=11, Resulting Numbers: [6, 11]
Generated Node #0,3,0: 51:[6, 11] Operation: 59-48=11
Exploring Operation: 48/6=8, Resulting Numbers: [59, 8]
Generated Node #0,3,1: 51:[59, 8] Operation: 48/6=8
Exploring Operation: 48+6=54, Resulting Numbers: [59, 54]
Generated Node #0,3,2: 51:[59, 54] Operation: 48+6=54
Exploring Operation: 59-6=53, Resulting Numbers: [48, 53]
Generated Node #0,3,3: 51:[48, 53] Operation: 59-6=53
Exploring Operation: 48-6=42, Resulting Numbers: [59, 42]
Generated Node #0,3,4: 51:[59, 42] Operation: 48-6=42
Moving to Node #0,2
Current State: 51:[48, 15, 38], Operations: ['59-21=38']
Exploring Operation: 15+38=53, Resulting Numbers: [48, 53]
Generated Node #0,2,0: 51:[48, 53] Operation: 15+38=53
Exploring Operation: 38-15=23, Resulting Numbers: [48, 23]
Generated Node #0,2,1: 51:[48, 23] Operation: 38-15=23
Exploring Operation: 48-15=33, Resulting Numbers: [38, 33]
Generated Node #0,2,2: 51:[38, 33] Operation: 48-15=33
Exploring Operation: 48-38=10, Resulting Numbers: [15, 10]
Generated Node #0,2,3: 51:[15, 10] Operation: 48-38=10
Exploring Operation: 48+15=63, Resulting Numbers: [38, 63]
Generated Node #0,2,4: 51:[38, 63] Operation: 48+15=63
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 51:[48, 53], Operations: ['59-21=38', '15+38=53']
Exploring Operation: 48*53=2544, Resulting Numbers: [2544]
2544,51 unequal: No Solution
Exploring Operation: 53-48=5, Resulting Numbers: [5]
5,51 unequal: No Solution
Exploring Operation: 48+53=101, Resulting Numbers: [101]
101,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 51:[48, 23], Operations: ['59-21=38', '38-15=23']
Exploring Operation: 48+23=71, Resulting Numbers: [71]
71,51 unequal: No Solution
Exploring Operation: 48-23=25, Resulting Numbers: [25]
25,51 unequal: No Solution
Exploring Operation: 48*23=1104, Resulting Numbers: [1104]
1104,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 51:[15, 10], Operations: ['59-21=38', '48-38=10']
Exploring Operation: 15+10=25, Resulting Numbers: [25]
25,51 unequal: No Solution
Exploring Operation: 15*10=150, Resulting Numbers: [150]
150,51 unequal: No Solution
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 51:[38, 63], Operations: ['59-21=38', '48+15=63']
Exploring Operation: 63-38=25, Resulting Numbers: [25]
25,51 unequal: No Solution
Exploring Operation: 38*63=2394, Resulting Numbers: [2394]
2394,51 unequal: No Solution
Exploring Operation: 38+63=101, Resulting Numbers: [101]
101,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 51:[38, 33], Operations: ['59-21=38', '48-15=33']
Exploring Operation: 38-33=5, Resulting Numbers: [5]
5,51 unequal: No Solution
Exploring Operation: 38*33=1254, Resulting Numbers: [1254]
1254,51 unequal: No Solution
Exploring Operation: 38+33=71, Resulting Numbers: [71]
71,51 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: 51:[15, 59, 27], Operations: ['48-21=27']
Exploring Operation: 59-15=44, Resulting Numbers: [27, 44]
Generated Node #0,0,0: 51:[27, 44] Operation: 59-15=44
Exploring Operation: 59-27=32, Resulting Numbers: [15, 32]
Generated Node #0,0,1: 51:[15, 32] Operation: 59-27=32
Exploring Operation: 15+27=42, Resulting Numbers: [59, 42]
Generated Node #0,0,2: 51:[59, 42] Operation: 15+27=42
Exploring Operation: 15+59=74, Resulting Numbers: [27, 74]
Generated Node #0,0,3: 51:[27, 74] Operation: 15+59=74
Exploring Operation: 27-15=12, Resulting Numbers: [59, 12]
Generated Node #0,0,4: 51:[59, 12] Operation: 27-15=12
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 51:[59, 12], Operations: ['48-21=27', '27-15=12']
Exploring Operation: 59*12=708, Resulting Numbers: [708]
708,51 unequal: No Solution
Exploring Operation: 59-12=47, Resulting Numbers: [47]
47,51 unequal: No Solution
Exploring Operation: 59+12=71, Resulting Numbers: [71]
71,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 51:[27, 44], Operations: ['48-21=27', '59-15=44']
Exploring Operation: 27*44=1188, Resulting Numbers: [1188]
1188,51 unequal: No Solution
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,51 unequal: No Solution
Exploring Operation: 27+44=71, Resulting Numbers: [71]
71,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 51:[15, 32], Operations: ['48-21=27', '59-27=32']
Exploring Operation: 32-15=17, Resulting Numbers: [17]
17,51 unequal: No Solution
Exploring Operation: 15*32=480, Resulting Numbers: [480]
480,51 unequal: No Solution
Exploring Operation: 15+32=47, Resulting Numbers: [47]
47,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 51:[59, 42], Operations: ['48-21=27', '15+27=42']
Exploring Operation: 59-42=17, Resulting Numbers: [17]
17,51 unequal: No Solution
Exploring Operation: 59*42=2478, Resulting Numbers: [2478]
2478,51 unequal: No Solution
Exploring Operation: 59+42=101, Resulting Numbers: [101]
101,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 51:[27, 74], Operations: ['48-21=27', '15+59=74']
Exploring Operation: 27+74=101, Resulting Numbers: [101]
101,51 unequal: No Solution
Exploring Operation: 74-27=47, Resulting Numbers: [47]
47,51 unequal: No Solution
Exploring Operation: 27*74=1998, Resulting Numbers: [1998]
1998,51 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: 51:[21, 4], Operations: ['59-48=11', '15-11=4']
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,51 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,51 unequal: No Solution
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,51 unequal: No Solution
Moving to Node #0,4,3
Current State: 51:[21, 4], Operations: ['59-15=44', '48-44=4']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,51 unequal: No Solution
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,51 unequal: No Solution
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,51 unequal: No Solution
Moving to Node #0,3,3
Current State: 51:[48, 53], Operations: ['21-15=6', '59-6=53']
Exploring Operation: 48+53=101, Resulting Numbers: [101]
101,51 unequal: No Solution
Exploring Operation: 53-48=5, Resulting Numbers: [5]
5,51 unequal: No Solution
Exploring Operation: 48*53=2544, Resulting Numbers: [2544]
2544,51 unequal: No Solution
Moving to Node #0,4,2
Current State: 51:[48, 23], Operations: ['59-15=44', '44-21=23']
Exploring Operation: 48*23=1104, Resulting Numbers: [1104]
1104,51 unequal: No Solution
Exploring Operation: 48+23=71, Resulting Numbers: [71]
71,51 unequal: No Solution
Exploring Operation: 48-23=25, Resulting Numbers: [25]
25,51 unequal: No Solution
Moving to Node #0,1,3
Current State: 51:[15, 10], Operations: ['59-48=11', '21-11=10']
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,51 unequal: No Solution
Exploring Operation: 15+10=25, Resulting Numbers: [25]
25,51 unequal: No Solution
Exploring Operation: 15*10=150, Resulting Numbers: [150]
150,51 unequal: No Solution
Moving to Node #0,3,0
Current State: 51:[6, 11], Operations: ['21-15=6', '59-48=11']
Exploring Operation: 6+11=17, Resulting Numbers: [17]
17,51 unequal: No Solution
Exploring Operation: 6*11=66, Resulting Numbers: [66]
66,51 unequal: No Solution
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,51 unequal: No Solution
Moving to Node #0,1,0
Current State: 51:[11, 6], Operations: ['59-48=11', '21-15=6']
Exploring Operation: 11+6=17, Resulting Numbers: [17]
17,51 unequal: No Solution
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,51 unequal: No Solution
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,51 unequal: No Solution
Moving to Node #0,3,2
Current State: 51:[59, 54], Operations: ['21-15=6', '48+6=54']
Exploring Operation: 59-54=5, Resulting Numbers: [5]
5,51 unequal: No Solution
Exploring Operation: 59*54=3186, Resulting Numbers: [3186]
3186,51 unequal: No Solution
Exploring Operation: 59+54=113, Resulting Numbers: [113]
113,51 unequal: No Solution
Moving to Node #0,3,1
Current State: 51:[59, 8], Operations: ['21-15=6', '48/6=8']
Exploring Operation: 59+8=67, Resulting Numbers: [67]
67,51 unequal: No Solution
Exploring Operation: 59-8=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[48, 15, 59, 21], Operations: []
Exploring Operation: 21-15=6, Resulting Numbers: [48, 59, 6]
Generated Node #0,3: 51:[48, 59, 6] Operation: 21-15=6
Moving to Node #0,3
Current State: 51:[48, 59, 6], Operations: ['21-15=6']
Exploring Operation: 48/6=8, Resulting Numbers: [59, 8]
Generated Node #0,3,1: 51:[59, 8] Operation: 48/6=8
Moving to Node #0,3,1
Current State: 51:[59, 8], Operations: ['21-15=6', '48/6=8']
Exploring Operation: 59-8=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 0.921875 |
hs_5
|
mult_heuristic
|
[
53,
87,
81,
21
] | 94 |
[
"87-53=34",
"81-21=60",
"34+60=94"
] |
Current State: 94:[53, 87, 81, 21], Operations: []
Exploring Operation: 87-53=34, Resulting Numbers: [81, 21, 34]
Generated Node #2: [81, 21, 34] from Operation: 87-53=34
Current State: 94:[81, 21, 34], Operations: ['87-53=34']
Exploring Operation: 81-21=60, Resulting Numbers: [34, 60]
Generated Node #3: [34, 60] from Operation: 81-21=60
Current State: 94:[34, 60], Operations: ['87-53=34', '81-21=60']
Exploring Operation: 34+60=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
Current State: 94:[53, 87, 81, 21], Operations: []
Exploring Operation: 81-21=60, Resulting Numbers: [53, 87, 60]
Generated Node #0,0: 94:[53, 87, 60] Operation: 81-21=60
Exploring Operation: 81+21=102, Resulting Numbers: [53, 87, 102]
Generated Node #0,1: 94:[53, 87, 102] Operation: 81+21=102
Start Sub Search at level 1: Moving to Node #0,1
Current State: 94:[53, 87, 102], Operations: ['81+21=102']
Exploring Operation: 102-53=49, Resulting Numbers: [87, 49]
Generated Node #0,1,0: 94:[87, 49] Operation: 102-53=49
Exploring Operation: 102-87=15, Resulting Numbers: [53, 15]
Generated Node #0,1,1: 94:[53, 15] Operation: 102-87=15
Moving to Node #0,1,0
Current State: 94:[87, 49], Operations: ['81+21=102', '102-53=49']
Exploring Operation: 87+49=136, Resulting Numbers: [136]
136,94 unequal: No Solution
Exploring Operation: 87-49=38, Resulting Numbers: [38]
38,94 unequal: No Solution
Moving to Node #0,1,1
Current State: 94:[53, 15], Operations: ['81+21=102', '102-87=15']
Exploring Operation: 53-15=38, Resulting Numbers: [38]
38,94 unequal: No Solution
Exploring Operation: 53+15=68, Resulting Numbers: [68]
68,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[53, 87, 60], Operations: ['81-21=60']
Exploring Operation: 60-53=7, Resulting Numbers: [87, 7]
Generated Node #0,0,0: 94:[87, 7] Operation: 60-53=7
Exploring Operation: 87-53=34, Resulting Numbers: [60, 34]
Generated Node #0,0,1: 94:[60, 34] Operation: 87-53=34
Moving to Node #0,0,0
Current State: 94:[87, 7], Operations: ['81-21=60', '60-53=7']
Exploring Operation: 87-7=80, Resulting Numbers: [80]
80,94 unequal: No Solution
Exploring Operation: 87+7=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[53, 87, 81, 21], Operations: []
Exploring Operation: 81-21=60, Resulting Numbers: [53, 87, 60]
Generated Node #0,0: 94:[53, 87, 60] Operation: 81-21=60
Moving to Node #0,0
Current State: 94:[53, 87, 60], Operations: ['81-21=60']
Exploring Operation: 60-53=7, Resulting Numbers: [87, 7]
Generated Node #0,0,0: 94:[87, 7] Operation: 60-53=7
Moving to Node #0,0,0
Current State: 94:[87, 7], Operations: ['81-21=60', '60-53=7']
Exploring Operation: 87+7=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 |
hs_2
|
sum_heuristic
|
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