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 |
|---|---|---|---|---|---|---|---|---|
[
84,
30,
87,
17
] | 50
|
[
"84-30=54",
"87+17=104",
"104-54=50"
] |
Current State: 50:[84, 30, 87, 17], Operations: []
Exploring Operation: 84-30=54, Resulting Numbers: [87, 17, 54]
Generated Node #2: [87, 17, 54] from Operation: 84-30=54
Current State: 50:[87, 17, 54], Operations: ['84-30=54']
Exploring Operation: 87+17=104, Resulting Numbers: [54, 104]
Generated Node #3: [54, 104] from Operation: 87+17=104
Current State: 50:[54, 104], Operations: ['84-30=54', '87+17=104']
Exploring Operation: 104-54=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4
|
Current State: 50:[84, 30, 87, 17], Operations: []
Exploring Operation: 87-84=3, Resulting Numbers: [30, 17, 3]
Generated Node #0,0: 50:[30, 17, 3] Operation: 87-84=3
Exploring Operation: 84-30=54, Resulting Numbers: [87, 17, 54]
Generated Node #0,1: 50:[87, 17, 54] Operation: 84-30=54
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[30, 17, 3], Operations: ['87-84=3']
Exploring Operation: 30-17=13, Resulting Numbers: [3, 13]
Generated Node #0,0,0: 50:[3, 13] Operation: 30-17=13
Exploring Operation: 30+17=47, Resulting Numbers: [3, 47]
Generated Node #0,0,1: 50:[3, 47] Operation: 30+17=47
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 50:[3, 13], Operations: ['87-84=3', '30-17=13']
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,50 unequal: No Solution
Exploring Operation: 3+13=16, Resulting Numbers: [16]
16,50 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 #0,0,1
Current State: 50:[3, 47], Operations: ['87-84=3', '30+17=47']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,50 unequal: No Solution
Exploring Operation: 3+47=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[84, 30, 87, 17], Operations: []
Exploring Operation: 87-84=3, Resulting Numbers: [30, 17, 3]
Generated Node #0,0: 50:[30, 17, 3] Operation: 87-84=3
Moving to Node #0,0
Current State: 50:[30, 17, 3], Operations: ['87-84=3']
Exploring Operation: 30+17=47, Resulting Numbers: [3, 47]
Generated Node #0,0,1: 50:[3, 47] Operation: 30+17=47
Moving to Node #0,0,1
Current State: 50:[3, 47], Operations: ['87-84=3', '30+17=47']
Exploring Operation: 3+47=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583
|
hs_2
|
mult_heuristic
|
[
43,
21,
82,
45
] | 15
|
[
"43-21=22",
"82-45=37",
"37-22=15"
] |
Current State: 15:[43, 21, 82, 45], Operations: []
Exploring Operation: 43-21=22, Resulting Numbers: [82, 45, 22]
Generated Node #2: [82, 45, 22] from Operation: 43-21=22
Current State: 15:[82, 45, 22], Operations: ['43-21=22']
Exploring Operation: 82-45=37, Resulting Numbers: [22, 37]
Generated Node #3: [22, 37] from Operation: 82-45=37
Current State: 15:[22, 37], Operations: ['43-21=22', '82-45=37']
Exploring Operation: 37-22=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4
|
Current State: 15:[43, 21, 82, 45], Operations: []
Exploring Operation: 82-45=37, Resulting Numbers: [43, 21, 37]
Generated Node #0,0: 15:[43, 21, 37] Operation: 82-45=37
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[43, 21, 37], Operations: ['82-45=37']
Exploring Operation: 43-37=6, Resulting Numbers: [21, 6]
Generated Node #0,0,0: 15:[21, 6] Operation: 43-37=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 15:[21, 6], Operations: ['82-45=37', '43-37=6']
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[43, 21, 82, 45], Operations: []
Exploring Operation: 82-45=37, Resulting Numbers: [43, 21, 37]
Generated Node #0,0: 15:[43, 21, 37] Operation: 82-45=37
Moving to Node #0,0
Current State: 15:[43, 21, 37], Operations: ['82-45=37']
Exploring Operation: 43-37=6, Resulting Numbers: [21, 6]
Generated Node #0,0,0: 15:[21, 6] Operation: 43-37=6
Moving to Node #0,0,0
Current State: 15:[21, 6], Operations: ['82-45=37', '43-37=6']
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
sum_heuristic
|
[
12,
35,
98,
37
] | 37
|
[
"12+37=49",
"98/49=2",
"35+2=37"
] |
Current State: 37:[12, 35, 98, 37], Operations: []
Exploring Operation: 12+37=49, Resulting Numbers: [35, 98, 49]
Generated Node #2: [35, 98, 49] from Operation: 12+37=49
Current State: 37:[35, 98, 49], Operations: ['12+37=49']
Exploring Operation: 98/49=2, Resulting Numbers: [35, 2]
Generated Node #3: [35, 2] from Operation: 98/49=2
Current State: 37:[35, 2], Operations: ['12+37=49', '98/49=2']
Exploring Operation: 35+2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4
|
Current State: 37:[12, 35, 98, 37], Operations: []
Exploring Operation: 98-12=86, Resulting Numbers: [35, 37, 86]
Generated Node #0,0: 37:[35, 37, 86] Operation: 98-12=86
Exploring Operation: 98-35=63, Resulting Numbers: [12, 37, 63]
Generated Node #0,1: 37:[12, 37, 63] Operation: 98-35=63
Exploring Operation: 12+35=47, Resulting Numbers: [98, 37, 47]
Generated Node #0,2: 37:[98, 37, 47] Operation: 12+35=47
Exploring Operation: 98-37=61, Resulting Numbers: [12, 35, 61]
Generated Node #0,3: 37:[12, 35, 61] Operation: 98-37=61
Exploring Operation: 35-12=23, Resulting Numbers: [98, 37, 23]
Generated Node #0,4: 37:[98, 37, 23] Operation: 35-12=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[35, 37, 86], Operations: ['98-12=86']
Exploring Operation: 86-37=49, Resulting Numbers: [35, 49]
Generated Node #0,0,0: 37:[35, 49] Operation: 86-37=49
Exploring Operation: 35+37=72, Resulting Numbers: [86, 72]
Generated Node #0,0,1: 37:[86, 72] Operation: 35+37=72
Exploring Operation: 37-35=2, Resulting Numbers: [86, 2]
Generated Node #0,0,2: 37:[86, 2] Operation: 37-35=2
Exploring Operation: 35+86=121, Resulting Numbers: [37, 121]
Generated Node #0,0,3: 37:[37, 121] Operation: 35+86=121
Exploring Operation: 86-35=51, Resulting Numbers: [37, 51]
Generated Node #0,0,4: 37:[37, 51] Operation: 86-35=51
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 37:[35, 49], Operations: ['98-12=86', '86-37=49']
Exploring Operation: 35+49=84, Resulting Numbers: [84]
84,37 unequal: No Solution
Exploring Operation: 35*49=1715, Resulting Numbers: [1715]
1715,37 unequal: No Solution
Exploring Operation: 49-35=14, Resulting Numbers: [14]
14,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 37:[37, 51], Operations: ['98-12=86', '86-35=51']
Exploring Operation: 37*51=1887, Resulting Numbers: [1887]
1887,37 unequal: No Solution
Exploring Operation: 51-37=14, Resulting Numbers: [14]
14,37 unequal: No Solution
Exploring Operation: 37+51=88, Resulting Numbers: [88]
88,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 37:[86, 72], Operations: ['98-12=86', '35+37=72']
Exploring Operation: 86*72=6192, Resulting Numbers: [6192]
6192,37 unequal: No Solution
Exploring Operation: 86-72=14, Resulting Numbers: [14]
14,37 unequal: No Solution
Exploring Operation: 86+72=158, Resulting Numbers: [158]
158,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 37:[86, 2], Operations: ['98-12=86', '37-35=2']
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,37 unequal: No Solution
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,37 unequal: No Solution
Exploring Operation: 86*2=172, Resulting Numbers: [172]
172,37 unequal: No Solution
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 37:[37, 121], Operations: ['98-12=86', '35+86=121']
Exploring Operation: 37+121=158, Resulting Numbers: [158]
158,37 unequal: No Solution
Exploring Operation: 37*121=4477, Resulting Numbers: [4477]
4477,37 unequal: No Solution
Exploring Operation: 121-37=84, Resulting Numbers: [84]
84,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[12, 37, 63], Operations: ['98-35=63']
Exploring Operation: 63-12=51, Resulting Numbers: [37, 51]
Generated Node #0,1,0: 37:[37, 51] Operation: 63-12=51
Exploring Operation: 63-37=26, Resulting Numbers: [12, 26]
Generated Node #0,1,1: 37:[12, 26] Operation: 63-37=26
Exploring Operation: 12+63=75, Resulting Numbers: [37, 75]
Generated Node #0,1,2: 37:[37, 75] Operation: 12+63=75
Exploring Operation: 37-12=25, Resulting Numbers: [63, 25]
Generated Node #0,1,3: 37:[63, 25] Operation: 37-12=25
Exploring Operation: 12+37=49, Resulting Numbers: [63, 49]
Generated Node #0,1,4: 37:[63, 49] Operation: 12+37=49
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 37:[37, 51], Operations: ['98-35=63', '63-12=51']
Exploring Operation: 51-37=14, Resulting Numbers: [14]
14,37 unequal: No Solution
Exploring Operation: 37*51=1887, Resulting Numbers: [1887]
1887,37 unequal: No Solution
Exploring Operation: 37+51=88, Resulting Numbers: [88]
88,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 37:[12, 26], Operations: ['98-35=63', '63-37=26']
Exploring Operation: 12*26=312, Resulting Numbers: [312]
312,37 unequal: No Solution
Exploring Operation: 26-12=14, Resulting Numbers: [14]
14,37 unequal: No Solution
Exploring Operation: 12+26=38, Resulting Numbers: [38]
38,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 37:[37, 75], Operations: ['98-35=63', '12+63=75']
Exploring Operation: 37+75=112, Resulting Numbers: [112]
112,37 unequal: No Solution
Exploring Operation: 75-37=38, Resulting Numbers: [38]
38,37 unequal: No Solution
Exploring Operation: 37*75=2775, Resulting Numbers: [2775]
2775,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 37:[63, 25], Operations: ['98-35=63', '37-12=25']
Exploring Operation: 63-25=38, Resulting Numbers: [38]
38,37 unequal: No Solution
Exploring Operation: 63*25=1575, Resulting Numbers: [1575]
1575,37 unequal: No Solution
Exploring Operation: 63+25=88, Resulting Numbers: [88]
88,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 37:[63, 49], Operations: ['98-35=63', '12+37=49']
Exploring Operation: 63*49=3087, Resulting Numbers: [3087]
3087,37 unequal: No Solution
Exploring Operation: 63-49=14, Resulting Numbers: [14]
14,37 unequal: No Solution
Exploring Operation: 63+49=112, Resulting Numbers: [112]
112,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 37:[12, 35, 61], Operations: ['98-37=61']
Exploring Operation: 35-12=23, Resulting Numbers: [61, 23]
Generated Node #0,3,0: 37:[61, 23] Operation: 35-12=23
Exploring Operation: 61-12=49, Resulting Numbers: [35, 49]
Generated Node #0,3,1: 37:[35, 49] Operation: 61-12=49
Exploring Operation: 61-35=26, Resulting Numbers: [12, 26]
Generated Node #0,3,2: 37:[12, 26] Operation: 61-35=26
Exploring Operation: 12+61=73, Resulting Numbers: [35, 73]
Generated Node #0,3,3: 37:[35, 73] Operation: 12+61=73
Exploring Operation: 12+35=47, Resulting Numbers: [61, 47]
Generated Node #0,3,4: 37:[61, 47] Operation: 12+35=47
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 37:[35, 49], Operations: ['98-37=61', '61-12=49']
Exploring Operation: 35*49=1715, Resulting Numbers: [1715]
1715,37 unequal: No Solution
Exploring Operation: 49-35=14, Resulting Numbers: [14]
14,37 unequal: No Solution
Exploring Operation: 35+49=84, Resulting Numbers: [84]
84,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 37:[61, 47], Operations: ['98-37=61', '12+35=47']
Exploring Operation: 61+47=108, Resulting Numbers: [108]
108,37 unequal: No Solution
Exploring Operation: 61*47=2867, Resulting Numbers: [2867]
2867,37 unequal: No Solution
Exploring Operation: 61-47=14, Resulting Numbers: [14]
14,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 37:[12, 26], Operations: ['98-37=61', '61-35=26']
Exploring Operation: 12+26=38, Resulting Numbers: [38]
38,37 unequal: No Solution
Exploring Operation: 26-12=14, Resulting Numbers: [14]
14,37 unequal: No Solution
Exploring Operation: 12*26=312, Resulting Numbers: [312]
312,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 37:[61, 23], Operations: ['98-37=61', '35-12=23']
Exploring Operation: 61+23=84, Resulting Numbers: [84]
84,37 unequal: No Solution
Exploring Operation: 61*23=1403, Resulting Numbers: [1403]
1403,37 unequal: No Solution
Exploring Operation: 61-23=38, Resulting Numbers: [38]
38,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 37:[35, 73], Operations: ['98-37=61', '12+61=73']
Exploring Operation: 73-35=38, Resulting Numbers: [38]
38,37 unequal: No Solution
Exploring Operation: 35+73=108, Resulting Numbers: [108]
108,37 unequal: No Solution
Exploring Operation: 35*73=2555, Resulting Numbers: [2555]
2555,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 37:[98, 37, 47], Operations: ['12+35=47']
Exploring Operation: 98-37=61, Resulting Numbers: [47, 61]
Generated Node #0,2,0: 37:[47, 61] Operation: 98-37=61
Exploring Operation: 98+37=135, Resulting Numbers: [47, 135]
Generated Node #0,2,1: 37:[47, 135] Operation: 98+37=135
Exploring Operation: 98+47=145, Resulting Numbers: [37, 145]
Generated Node #0,2,2: 37:[37, 145] Operation: 98+47=145
Exploring Operation: 47-37=10, Resulting Numbers: [98, 10]
Generated Node #0,2,3: 37:[98, 10] Operation: 47-37=10
Exploring Operation: 98-47=51, Resulting Numbers: [37, 51]
Generated Node #0,2,4: 37:[37, 51] Operation: 98-47=51
Moving to Node #0,2,4
Current State: 37:[37, 51], Operations: ['12+35=47', '98-47=51']
Exploring Operation: 51-37=14, Resulting Numbers: [14]
14,37 unequal: No Solution
Exploring Operation: 37+51=88, Resulting Numbers: [88]
88,37 unequal: No Solution
Exploring Operation: 37*51=1887, Resulting Numbers: [1887]
1887,37 unequal: No Solution
Moving to Node #0,2,0
Current State: 37:[47, 61], Operations: ['12+35=47', '98-37=61']
Exploring Operation: 47*61=2867, Resulting Numbers: [2867]
2867,37 unequal: No Solution
Exploring Operation: 61-47=14, Resulting Numbers: [14]
14,37 unequal: No Solution
Exploring Operation: 47+61=108, Resulting Numbers: [108]
108,37 unequal: No Solution
Moving to Node #0,2,3
Current State: 37:[98, 10], Operations: ['12+35=47', '47-37=10']
Exploring Operation: 98+10=108, Resulting Numbers: [108]
108,37 unequal: No Solution
Exploring Operation: 98-10=88, Resulting Numbers: [88]
88,37 unequal: No Solution
Exploring Operation: 98*10=980, Resulting Numbers: [980]
980,37 unequal: No Solution
Moving to Node #0,2,1
Current State: 37:[47, 135], Operations: ['12+35=47', '98+37=135']
Exploring Operation: 47*135=6345, Resulting Numbers: [6345]
6345,37 unequal: No Solution
Exploring Operation: 47+135=182, Resulting Numbers: [182]
182,37 unequal: No Solution
Exploring Operation: 135-47=88, Resulting Numbers: [88]
88,37 unequal: No Solution
Moving to Node #0,2,2
Current State: 37:[37, 145], Operations: ['12+35=47', '98+47=145']
Exploring Operation: 37*145=5365, Resulting Numbers: [5365]
5365,37 unequal: No Solution
Exploring Operation: 37+145=182, Resulting Numbers: [182]
182,37 unequal: No Solution
Exploring Operation: 145-37=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 #0,4
Current State: 37:[98, 37, 23], Operations: ['35-12=23']
Exploring Operation: 37+23=60, Resulting Numbers: [98, 60]
Generated Node #0,4,0: 37:[98, 60] Operation: 37+23=60
Exploring Operation: 98-37=61, Resulting Numbers: [23, 61]
Generated Node #0,4,1: 37:[23, 61] Operation: 98-37=61
Exploring Operation: 98-23=75, Resulting Numbers: [37, 75]
Generated Node #0,4,2: 37:[37, 75] Operation: 98-23=75
Exploring Operation: 98+23=121, Resulting Numbers: [37, 121]
Generated Node #0,4,3: 37:[37, 121] Operation: 98+23=121
Exploring Operation: 37-23=14, Resulting Numbers: [98, 14]
Generated Node #0,4,4: 37:[98, 14] Operation: 37-23=14
Moving to Node #0,4,1
Current State: 37:[23, 61], Operations: ['35-12=23', '98-37=61']
Exploring Operation: 23*61=1403, Resulting Numbers: [1403]
1403,37 unequal: No Solution
Exploring Operation: 23+61=84, Resulting Numbers: [84]
84,37 unequal: No Solution
Exploring Operation: 61-23=38, Resulting Numbers: [38]
38,37 unequal: No Solution
Moving to Node #0,4,2
Current State: 37:[37, 75], Operations: ['35-12=23', '98-23=75']
Exploring Operation: 37+75=112, Resulting Numbers: [112]
112,37 unequal: No Solution
Exploring Operation: 37*75=2775, Resulting Numbers: [2775]
2775,37 unequal: No Solution
Exploring Operation: 75-37=38, Resulting Numbers: [38]
38,37 unequal: No Solution
Moving to Node #0,4,0
Current State: 37:[98, 60], Operations: ['35-12=23', '37+23=60']
Exploring Operation: 98+60=158, Resulting Numbers: [158]
158,37 unequal: No Solution
Exploring Operation: 98*60=5880, Resulting Numbers: [5880]
5880,37 unequal: No Solution
Exploring Operation: 98-60=38, Resulting Numbers: [38]
38,37 unequal: No Solution
Moving to Node #0,4,3
Current State: 37:[37, 121], Operations: ['35-12=23', '98+23=121']
Exploring Operation: 37+121=158, Resulting Numbers: [158]
158,37 unequal: No Solution
Exploring Operation: 121-37=84, Resulting Numbers: [84]
84,37 unequal: No Solution
Exploring Operation: 37*121=4477, Resulting Numbers: [4477]
4477,37 unequal: No Solution
Moving to Node #0,4,4
Current State: 37:[98, 14], Operations: ['35-12=23', '37-23=14']
Exploring Operation: 98/14=7, Resulting Numbers: [7]
7,37 unequal: No Solution
Exploring Operation: 98+14=112, Resulting Numbers: [112]
112,37 unequal: No Solution
Exploring Operation: 98-14=84, Resulting Numbers: [84]
84,37 unequal: No Solution
Exploring Operation: 98*14=1372, Resulting Numbers: [1372]
1372,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
17,
5,
79,
68
] | 23
|
[
"17-5=12",
"79-68=11",
"12+11=23"
] |
Current State: 23:[17, 5, 79, 68], Operations: []
Exploring Operation: 17-5=12, Resulting Numbers: [79, 68, 12]
Generated Node #2: [79, 68, 12] from Operation: 17-5=12
Current State: 23:[79, 68, 12], Operations: ['17-5=12']
Exploring Operation: 79-68=11, Resulting Numbers: [12, 11]
Generated Node #3: [12, 11] from Operation: 79-68=11
Current State: 23:[12, 11], Operations: ['17-5=12', '79-68=11']
Exploring Operation: 12+11=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4
|
Current State: 23:[17, 5, 79, 68], Operations: []
Exploring Operation: 79-68=11, Resulting Numbers: [17, 5, 11]
Generated Node #0,0: 23:[17, 5, 11] Operation: 79-68=11
Moving to Node #0,0
Current State: 23:[17, 5, 11], Operations: ['79-68=11']
Exploring Operation: 17+5=22, Resulting Numbers: [11, 22]
Generated Node #0,0,0: 23:[11, 22] Operation: 17+5=22
Moving to Node #0,0,0
Current State: 23:[11, 22], Operations: ['79-68=11', '17+5=22']
Exploring Operation: 11+22=33, Resulting Numbers: [33]
33,23 unequal: No Solution
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
73,
77,
13,
53
] | 63
|
[
"77+53=130",
"130/13=10",
"73-10=63"
] |
Current State: 63:[73, 77, 13, 53], Operations: []
Exploring Operation: 77+53=130, Resulting Numbers: [73, 13, 130]
Generated Node #2: [73, 13, 130] from Operation: 77+53=130
Current State: 63:[73, 13, 130], Operations: ['77+53=130']
Exploring Operation: 130/13=10, Resulting Numbers: [73, 10]
Generated Node #3: [73, 10] from Operation: 130/13=10
Current State: 63:[73, 10], Operations: ['77+53=130', '130/13=10']
Exploring Operation: 73-10=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4
|
Current State: 63:[73, 77, 13, 53], Operations: []
Exploring Operation: 77-53=24, Resulting Numbers: [73, 13, 24]
Generated Node #0,0: 63:[73, 13, 24] Operation: 77-53=24
Exploring Operation: 73-53=20, Resulting Numbers: [77, 13, 20]
Generated Node #0,1: 63:[77, 13, 20] Operation: 73-53=20
Exploring Operation: 77-73=4, Resulting Numbers: [13, 53, 4]
Generated Node #0,2: 63:[13, 53, 4] Operation: 77-73=4
Moving to Node #0,2
Current State: 63:[13, 53, 4], Operations: ['77-73=4']
Exploring Operation: 13-4=9, Resulting Numbers: [53, 9]
Generated Node #0,2,0: 63:[53, 9] Operation: 13-4=9
Exploring Operation: 53+4=57, Resulting Numbers: [13, 57]
Generated Node #0,2,1: 63:[13, 57] Operation: 53+4=57
Exploring Operation: 13+53=66, Resulting Numbers: [4, 66]
Generated Node #0,2,2: 63:[4, 66] Operation: 13+53=66
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 63:[4, 66], Operations: ['77-73=4', '13+53=66']
Exploring Operation: 4+66=70, Resulting Numbers: [70]
70,63 unequal: No Solution
Exploring Operation: 4*66=264, Resulting Numbers: [264]
264,63 unequal: No Solution
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 63:[53, 9], Operations: ['77-73=4', '13-4=9']
Exploring Operation: 53*9=477, Resulting Numbers: [477]
477,63 unequal: No Solution
Exploring Operation: 53+9=62, Resulting Numbers: [62]
62,63 unequal: No Solution
Exploring Operation: 53-9=44, Resulting Numbers: [44]
44,63 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:[13, 57], Operations: ['77-73=4', '53+4=57']
Exploring Operation: 13*57=741, Resulting Numbers: [741]
741,63 unequal: No Solution
Exploring Operation: 13+57=70, Resulting Numbers: [70]
70,63 unequal: No Solution
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,63 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:[73, 13, 24], Operations: ['77-53=24']
Exploring Operation: 73-24=49, Resulting Numbers: [13, 49]
Generated Node #0,0,0: 63:[13, 49] Operation: 73-24=49
Exploring Operation: 73-13=60, Resulting Numbers: [24, 60]
Generated Node #0,0,1: 63:[24, 60] Operation: 73-13=60
Exploring Operation: 24-13=11, Resulting Numbers: [73, 11]
Generated Node #0,0,2: 63:[73, 11] Operation: 24-13=11
Moving to Node #0,1
Current State: 63:[77, 13, 20], Operations: ['73-53=20']
Exploring Operation: 20-13=7, Resulting Numbers: [77, 7]
Generated Node #0,1,0: 63:[77, 7] Operation: 20-13=7
Exploring Operation: 77-13=64, Resulting Numbers: [20, 64]
Generated Node #0,1,1: 63:[20, 64] Operation: 77-13=64
Exploring Operation: 77-20=57, Resulting Numbers: [13, 57]
Generated Node #0,1,2: 63:[13, 57] Operation: 77-20=57
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 63:[20, 64], Operations: ['73-53=20', '77-13=64']
Exploring Operation: 20+64=84, Resulting Numbers: [84]
84,63 unequal: No Solution
Exploring Operation: 64-20=44, Resulting Numbers: [44]
44,63 unequal: No Solution
Exploring Operation: 20*64=1280, Resulting Numbers: [1280]
1280,63 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 #0,1,2
Current State: 63:[13, 57], Operations: ['73-53=20', '77-20=57']
Exploring Operation: 13*57=741, Resulting Numbers: [741]
741,63 unequal: No Solution
Exploring Operation: 13+57=70, Resulting Numbers: [70]
70,63 unequal: No Solution
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,63 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 #0,1,0
Current State: 63:[77, 7], Operations: ['73-53=20', '20-13=7']
Exploring Operation: 77-7=70, Resulting Numbers: [70]
70,63 unequal: No Solution
Exploring Operation: 77+7=84, Resulting Numbers: [84]
84,63 unequal: No Solution
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,63 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: 63:[24, 60], Operations: ['77-53=24', '73-13=60']
Exploring Operation: 60-24=36, Resulting Numbers: [36]
36,63 unequal: No Solution
Exploring Operation: 24*60=1440, Resulting Numbers: [1440]
1440,63 unequal: No Solution
Exploring Operation: 24+60=84, Resulting Numbers: [84]
84,63 unequal: No Solution
Moving to Node #0,0,2
Current State: 63:[73, 11], Operations: ['77-53=24', '24-13=11']
Exploring Operation: 73-11=62, Resulting Numbers: [62]
62,63 unequal: No Solution
Exploring Operation: 73+11=84, Resulting Numbers: [84]
84,63 unequal: No Solution
Exploring Operation: 73*11=803, Resulting Numbers: [803]
803,63 unequal: No Solution
Moving to Node #0,0,0
Current State: 63:[13, 49], Operations: ['77-53=24', '73-24=49']
Exploring Operation: 13+49=62, Resulting Numbers: [62]
62,63 unequal: No Solution
Exploring Operation: 13*49=637, Resulting Numbers: [637]
637,63 unequal: No Solution
Exploring Operation: 49-13=36, Resulting Numbers: [36]
36,63 unequal: No Solution
No solution found.
| 0
|
hs_3
|
sum_heuristic
|
[
6,
26,
21,
15
] | 62
|
[
"21-15=6",
"6*6=36",
"26+36=62"
] |
Current State: 62:[6, 26, 21, 15], Operations: []
Exploring Operation: 21-15=6, Resulting Numbers: [6, 26, 6]
Generated Node #2: [6, 26, 6] from Operation: 21-15=6
Current State: 62:[6, 26, 6], Operations: ['21-15=6']
Exploring Operation: 6*6=36, Resulting Numbers: [26, 36]
Generated Node #3: [26, 36] from Operation: 6*6=36
Current State: 62:[26, 36], Operations: ['21-15=6', '6*6=36']
Exploring Operation: 26+36=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4
|
Current State: 62:[6, 26, 21, 15], Operations: []
Exploring Operation: 21-15=6, Resulting Numbers: [6, 26, 6]
Generated Node #0,0: 62:[6, 26, 6] Operation: 21-15=6
Moving to Node #0,0
Current State: 62:[6, 26, 6], Operations: ['21-15=6']
Exploring Operation: 6+26=32, Resulting Numbers: [6, 32]
Generated Node #0,0,0: 62:[6, 32] Operation: 6+26=32
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 62:[6, 32], Operations: ['21-15=6', '6+26=32']
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,62 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
|
[
55,
54,
55,
43
] | 43
|
[
"55-55=0",
"54*0=0",
"43+0=43"
] |
Current State: 43:[55, 54, 55, 43], Operations: []
Exploring Operation: 55-55=0, Resulting Numbers: [54, 43, 0]
Generated Node #2: [54, 43, 0] from Operation: 55-55=0
Current State: 43:[54, 43, 0], Operations: ['55-55=0']
Exploring Operation: 54*0=0, Resulting Numbers: [43, 0]
Generated Node #3: [43, 0] from Operation: 54*0=0
Current State: 43:[43, 0], Operations: ['55-55=0', '54*0=0']
Exploring Operation: 43+0=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4
|
Current State: 43:[55, 54, 55, 43], Operations: []
Exploring Operation: 55-55=0, Resulting Numbers: [54, 43, 0]
Generated Node #0,0: 43:[54, 43, 0] Operation: 55-55=0
Exploring Operation: 55-43=12, Resulting Numbers: [54, 55, 12]
Generated Node #0,1: 43:[54, 55, 12] Operation: 55-43=12
Exploring Operation: 55-54=1, Resulting Numbers: [55, 43, 1]
Generated Node #0,2: 43:[55, 43, 1] Operation: 55-54=1
Exploring Operation: 55/55=1, Resulting Numbers: [54, 43, 1]
Generated Node #0,3: 43:[54, 43, 1] Operation: 55/55=1
Exploring Operation: 55-54=1, Resulting Numbers: [55, 43, 1]
Generated Node #0,4: 43:[55, 43, 1] Operation: 55-54=1
Start Sub Search at level 1: Moving to Node #0,3
Current State: 43:[54, 43, 1], Operations: ['55/55=1']
Exploring Operation: 43*1=43, Resulting Numbers: [54, 43]
Generated Node #0,3,0: 43:[54, 43] Operation: 43*1=43
Exploring Operation: 54*1=54, Resulting Numbers: [43, 54]
Generated Node #0,3,1: 43:[43, 54] Operation: 54*1=54
Exploring Operation: 54-1=53, Resulting Numbers: [43, 53]
Generated Node #0,3,2: 43:[43, 53] Operation: 54-1=53
Exploring Operation: 43/1=43, Resulting Numbers: [54, 43]
Generated Node #0,3,3: 43:[54, 43] Operation: 43/1=43
Exploring Operation: 54/1=54, Resulting Numbers: [43, 54]
Generated Node #0,3,4: 43:[43, 54] Operation: 54/1=54
Moving to Node #0,3,2
Current State: 43:[43, 53], Operations: ['55/55=1', '54-1=53']
Exploring Operation: 43+53=96, Resulting Numbers: [96]
96,43 unequal: No Solution
Exploring Operation: 43*53=2279, Resulting Numbers: [2279]
2279,43 unequal: No Solution
Exploring Operation: 53-43=10, Resulting Numbers: [10]
10,43 unequal: No Solution
Moving to Node #0,3,1
Current State: 43:[43, 54], Operations: ['55/55=1', '54*1=54']
Exploring Operation: 54-43=11, Resulting Numbers: [11]
11,43 unequal: No Solution
Exploring Operation: 43*54=2322, Resulting Numbers: [2322]
2322,43 unequal: No Solution
Exploring Operation: 43+54=97, Resulting Numbers: [97]
97,43 unequal: No Solution
Moving to Node #0,3,4
Current State: 43:[43, 54], Operations: ['55/55=1', '54/1=54']
Exploring Operation: 54-43=11, Resulting Numbers: [11]
11,43 unequal: No Solution
Exploring Operation: 43+54=97, Resulting Numbers: [97]
97,43 unequal: No Solution
Exploring Operation: 43*54=2322, Resulting Numbers: [2322]
2322,43 unequal: No Solution
Moving to Node #0,3,0
Current State: 43:[54, 43], Operations: ['55/55=1', '43*1=43']
Exploring Operation: 54+43=97, Resulting Numbers: [97]
97,43 unequal: No Solution
Exploring Operation: 54*43=2322, Resulting Numbers: [2322]
2322,43 unequal: No Solution
Exploring Operation: 54-43=11, Resulting Numbers: [11]
11,43 unequal: No Solution
Moving to Node #0,3,3
Current State: 43:[54, 43], Operations: ['55/55=1', '43/1=43']
Exploring Operation: 54-43=11, Resulting Numbers: [11]
11,43 unequal: No Solution
Exploring Operation: 54+43=97, Resulting Numbers: [97]
97,43 unequal: No Solution
Exploring Operation: 54*43=2322, Resulting Numbers: [2322]
2322,43 unequal: No Solution
No 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: 43:[54, 43, 0], Operations: ['55-55=0']
Exploring Operation: 43-0=43, Resulting Numbers: [54, 43]
Generated Node #0,0,0: 43:[54, 43] Operation: 43-0=43
Exploring Operation: 43+0=43, Resulting Numbers: [54, 43]
Generated Node #0,0,1: 43:[54, 43] Operation: 43+0=43
Exploring Operation: 54*0=0, Resulting Numbers: [43, 0]
Generated Node #0,0,2: 43:[43, 0] Operation: 54*0=0
Exploring Operation: 54+0=54, Resulting Numbers: [43, 54]
Generated Node #0,0,3: 43:[43, 54] Operation: 54+0=54
Exploring Operation: 54-0=54, Resulting Numbers: [43, 54]
Generated Node #0,0,4: 43:[43, 54] Operation: 54-0=54
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 43:[54, 43], Operations: ['55-55=0', '43-0=43']
Exploring Operation: 54+43=97, Resulting Numbers: [97]
97,43 unequal: No Solution
Exploring Operation: 54-43=11, Resulting Numbers: [11]
11,43 unequal: No Solution
Exploring Operation: 54*43=2322, Resulting Numbers: [2322]
2322,43 unequal: No Solution
No 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: 43:[54, 43], Operations: ['55-55=0', '43+0=43']
Exploring Operation: 54*43=2322, Resulting Numbers: [2322]
2322,43 unequal: No Solution
Exploring Operation: 54+43=97, Resulting Numbers: [97]
97,43 unequal: No Solution
Exploring Operation: 54-43=11, Resulting Numbers: [11]
11,43 unequal: No Solution
No 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: 43:[43, 54], Operations: ['55-55=0', '54+0=54']
Exploring Operation: 43*54=2322, Resulting Numbers: [2322]
2322,43 unequal: No Solution
Exploring Operation: 54-43=11, Resulting Numbers: [11]
11,43 unequal: No Solution
Exploring Operation: 43+54=97, Resulting Numbers: [97]
97,43 unequal: No Solution
No 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: 43:[43, 54], Operations: ['55-55=0', '54-0=54']
Exploring Operation: 54-43=11, Resulting Numbers: [11]
11,43 unequal: No Solution
Exploring Operation: 43*54=2322, Resulting Numbers: [2322]
2322,43 unequal: No Solution
Exploring Operation: 43+54=97, Resulting Numbers: [97]
97,43 unequal: No Solution
No 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: 43:[43, 0], Operations: ['55-55=0', '54*0=0']
Exploring Operation: 43*0=0, Resulting Numbers: [0]
0,43 unequal: No Solution
Exploring Operation: 43-0=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[55, 54, 55, 43], Operations: []
Exploring Operation: 55-55=0, Resulting Numbers: [54, 43, 0]
Generated Node #0,0: 43:[54, 43, 0] Operation: 55-55=0
Moving to Node #0,0
Current State: 43:[54, 43, 0], Operations: ['55-55=0']
Exploring Operation: 54*0=0, Resulting Numbers: [43, 0]
Generated Node #0,0,2: 43:[43, 0] Operation: 54*0=0
Moving to Node #0,0,2
Current State: 43:[43, 0], Operations: ['55-55=0', '54*0=0']
Exploring Operation: 43-0=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.958333
|
hs_5
|
mult_heuristic
|
[
36,
53,
4,
18
] | 75
|
[
"36+53=89",
"18-4=14",
"89-14=75"
] |
Current State: 75:[36, 53, 4, 18], Operations: []
Exploring Operation: 36+53=89, Resulting Numbers: [4, 18, 89]
Generated Node #2: [4, 18, 89] from Operation: 36+53=89
Current State: 75:[4, 18, 89], Operations: ['36+53=89']
Exploring Operation: 18-4=14, Resulting Numbers: [89, 14]
Generated Node #3: [89, 14] from Operation: 18-4=14
Current State: 75:[89, 14], Operations: ['36+53=89', '18-4=14']
Exploring Operation: 89-14=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4
|
Current State: 75:[36, 53, 4, 18], Operations: []
Exploring Operation: 53-36=17, Resulting Numbers: [4, 18, 17]
Generated Node #0,0: 75:[4, 18, 17] Operation: 53-36=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[4, 18, 17], Operations: ['53-36=17']
Exploring Operation: 18-4=14, Resulting Numbers: [17, 14]
Generated Node #0,0,0: 75:[17, 14] Operation: 18-4=14
Moving to Node #0,0,0
Current State: 75:[17, 14], Operations: ['53-36=17', '18-4=14']
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,75 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
|
[
71,
14,
18,
24
] | 68
|
[
"18+24=42",
"42/14=3",
"71-3=68"
] |
Current State: 68:[71, 14, 18, 24], Operations: []
Exploring Operation: 18+24=42, Resulting Numbers: [71, 14, 42]
Generated Node #2: [71, 14, 42] from Operation: 18+24=42
Current State: 68:[71, 14, 42], Operations: ['18+24=42']
Exploring Operation: 42/14=3, Resulting Numbers: [71, 3]
Generated Node #3: [71, 3] from Operation: 42/14=3
Current State: 68:[71, 3], Operations: ['18+24=42', '42/14=3']
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4
|
Current State: 68:[71, 14, 18, 24], Operations: []
Exploring Operation: 14+24=38, Resulting Numbers: [71, 18, 38]
Generated Node #0,0: 68:[71, 18, 38] Operation: 14+24=38
Exploring Operation: 24-18=6, Resulting Numbers: [71, 14, 6]
Generated Node #0,1: 68:[71, 14, 6] Operation: 24-18=6
Moving to Node #0,0
Current State: 68:[71, 18, 38], Operations: ['14+24=38']
Exploring Operation: 38-18=20, Resulting Numbers: [71, 20]
Generated Node #0,0,0: 68:[71, 20] Operation: 38-18=20
Exploring Operation: 71-38=33, Resulting Numbers: [18, 33]
Generated Node #0,0,1: 68:[18, 33] Operation: 71-38=33
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 68:[18, 33], Operations: ['14+24=38', '71-38=33']
Exploring Operation: 33-18=15, Resulting Numbers: [15]
15,68 unequal: No Solution
Exploring Operation: 18+33=51, Resulting Numbers: [51]
51,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 68:[71, 20], Operations: ['14+24=38', '38-18=20']
Exploring Operation: 71-20=51, Resulting Numbers: [51]
51,68 unequal: No Solution
Exploring Operation: 71+20=91, Resulting Numbers: [91]
91,68 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: 68:[71, 14, 6], Operations: ['24-18=6']
Exploring Operation: 14+6=20, Resulting Numbers: [71, 20]
Generated Node #0,1,0: 68:[71, 20] Operation: 14+6=20
Exploring Operation: 71-6=65, Resulting Numbers: [14, 65]
Generated Node #0,1,1: 68:[14, 65] Operation: 71-6=65
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 68:[71, 20], Operations: ['24-18=6', '14+6=20']
Exploring Operation: 71+20=91, Resulting Numbers: [91]
91,68 unequal: No Solution
Exploring Operation: 71-20=51, Resulting Numbers: [51]
51,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 68:[14, 65], Operations: ['24-18=6', '71-6=65']
Exploring Operation: 14+65=79, Resulting Numbers: [79]
79,68 unequal: No Solution
Exploring Operation: 65-14=51, Resulting Numbers: [51]
51,68 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
|
[
30,
55,
44,
8
] | 11
|
[
"55-30=25",
"44-8=36",
"36-25=11"
] |
Current State: 11:[30, 55, 44, 8], Operations: []
Exploring Operation: 55-30=25, Resulting Numbers: [44, 8, 25]
Generated Node #2: [44, 8, 25] from Operation: 55-30=25
Current State: 11:[44, 8, 25], Operations: ['55-30=25']
Exploring Operation: 44-8=36, Resulting Numbers: [25, 36]
Generated Node #3: [25, 36] from Operation: 44-8=36
Current State: 11:[25, 36], Operations: ['55-30=25', '44-8=36']
Exploring Operation: 36-25=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4
|
Current State: 11:[30, 55, 44, 8], Operations: []
Exploring Operation: 55-44=11, Resulting Numbers: [30, 8, 11]
Generated Node #0,0: 11:[30, 8, 11] Operation: 55-44=11
Exploring Operation: 55-8=47, Resulting Numbers: [30, 44, 47]
Generated Node #0,1: 11:[30, 44, 47] Operation: 55-8=47
Exploring Operation: 30-8=22, Resulting Numbers: [55, 44, 22]
Generated Node #0,2: 11:[55, 44, 22] Operation: 30-8=22
Exploring Operation: 55-30=25, Resulting Numbers: [44, 8, 25]
Generated Node #0,3: 11:[44, 8, 25] Operation: 55-30=25
Exploring Operation: 44-30=14, Resulting Numbers: [55, 8, 14]
Generated Node #0,4: 11:[55, 8, 14] Operation: 44-30=14
Moving to Node #0,0
Current State: 11:[30, 8, 11], Operations: ['55-44=11']
Exploring Operation: 30+8=38, Resulting Numbers: [11, 38]
Generated Node #0,0,0: 11:[11, 38] Operation: 30+8=38
Exploring Operation: 30-11=19, Resulting Numbers: [8, 19]
Generated Node #0,0,1: 11:[8, 19] Operation: 30-11=19
Exploring Operation: 11-8=3, Resulting Numbers: [30, 3]
Generated Node #0,0,2: 11:[30, 3] Operation: 11-8=3
Exploring Operation: 8+11=19, Resulting Numbers: [30, 19]
Generated Node #0,0,3: 11:[30, 19] Operation: 8+11=19
Exploring Operation: 30-8=22, Resulting Numbers: [11, 22]
Generated Node #0,0,4: 11:[11, 22] Operation: 30-8=22
Moving to Node #0,4
Current State: 11:[55, 8, 14], Operations: ['44-30=14']
Exploring Operation: 55-14=41, Resulting Numbers: [8, 41]
Generated Node #0,4,0: 11:[8, 41] Operation: 55-14=41
Exploring Operation: 55+8=63, Resulting Numbers: [14, 63]
Generated Node #0,4,1: 11:[14, 63] Operation: 55+8=63
Exploring Operation: 55-8=47, Resulting Numbers: [14, 47]
Generated Node #0,4,2: 11:[14, 47] Operation: 55-8=47
Exploring Operation: 8+14=22, Resulting Numbers: [55, 22]
Generated Node #0,4,3: 11:[55, 22] Operation: 8+14=22
Exploring Operation: 14-8=6, Resulting Numbers: [55, 6]
Generated Node #0,4,4: 11:[55, 6] Operation: 14-8=6
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 11:[8, 41], Operations: ['44-30=14', '55-14=41']
Exploring Operation: 8*41=328, Resulting Numbers: [328]
328,11 unequal: No Solution
Exploring Operation: 8+41=49, Resulting Numbers: [49]
49,11 unequal: No Solution
Exploring Operation: 41-8=33, Resulting Numbers: [33]
33,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 11:[14, 47], Operations: ['44-30=14', '55-8=47']
Exploring Operation: 47-14=33, Resulting Numbers: [33]
33,11 unequal: No Solution
Exploring Operation: 14*47=658, Resulting Numbers: [658]
658,11 unequal: No Solution
Exploring Operation: 14+47=61, Resulting Numbers: [61]
61,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 11:[55, 6], Operations: ['44-30=14', '14-8=6']
Exploring Operation: 55+6=61, Resulting Numbers: [61]
61,11 unequal: No Solution
Exploring Operation: 55*6=330, Resulting Numbers: [330]
330,11 unequal: No Solution
Exploring Operation: 55-6=49, Resulting Numbers: [49]
49,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 11:[14, 63], Operations: ['44-30=14', '55+8=63']
Exploring Operation: 14*63=882, Resulting Numbers: [882]
882,11 unequal: No Solution
Exploring Operation: 14+63=77, Resulting Numbers: [77]
77,11 unequal: No Solution
Exploring Operation: 63-14=49, Resulting Numbers: [49]
49,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 11:[55, 22], Operations: ['44-30=14', '8+14=22']
Exploring Operation: 55+22=77, Resulting Numbers: [77]
77,11 unequal: No Solution
Exploring Operation: 55-22=33, Resulting Numbers: [33]
33,11 unequal: No Solution
Exploring Operation: 55*22=1210, Resulting Numbers: [1210]
1210,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 11:[44, 8, 25], Operations: ['55-30=25']
Exploring Operation: 8+25=33, Resulting Numbers: [44, 33]
Generated Node #0,3,0: 11:[44, 33] Operation: 8+25=33
Exploring Operation: 44-25=19, Resulting Numbers: [8, 19]
Generated Node #0,3,1: 11:[8, 19] Operation: 44-25=19
Exploring Operation: 44-8=36, Resulting Numbers: [25, 36]
Generated Node #0,3,2: 11:[25, 36] Operation: 44-8=36
Exploring Operation: 44+8=52, Resulting Numbers: [25, 52]
Generated Node #0,3,3: 11:[25, 52] Operation: 44+8=52
Exploring Operation: 25-8=17, Resulting Numbers: [44, 17]
Generated Node #0,3,4: 11:[44, 17] Operation: 25-8=17
Moving to Node #0,1
Current State: 11:[30, 44, 47], Operations: ['55-8=47']
Exploring Operation: 47-44=3, Resulting Numbers: [30, 3]
Generated Node #0,1,0: 11:[30, 3] Operation: 47-44=3
Exploring Operation: 44-30=14, Resulting Numbers: [47, 14]
Generated Node #0,1,1: 11:[47, 14] Operation: 44-30=14
Exploring Operation: 47-30=17, Resulting Numbers: [44, 17]
Generated Node #0,1,2: 11:[44, 17] Operation: 47-30=17
Exploring Operation: 30+44=74, Resulting Numbers: [47, 74]
Generated Node #0,1,3: 11:[47, 74] Operation: 30+44=74
Exploring Operation: 30+47=77, Resulting Numbers: [44, 77]
Generated Node #0,1,4: 11:[44, 77] Operation: 30+47=77
Moving to Node #0,2
Current State: 11:[55, 44, 22], Operations: ['30-8=22']
Exploring Operation: 55+44=99, Resulting Numbers: [22, 99]
Generated Node #0,2,0: 11:[22, 99] Operation: 55+44=99
Exploring Operation: 55-44=11, Resulting Numbers: [22, 11]
Generated Node #0,2,1: 11:[22, 11] Operation: 55-44=11
Exploring Operation: 55-22=33, Resulting Numbers: [44, 33]
Generated Node #0,2,2: 11:[44, 33] Operation: 55-22=33
Exploring Operation: 44/22=2, Resulting Numbers: [55, 2]
Generated Node #0,2,3: 11:[55, 2] Operation: 44/22=2
Exploring Operation: 44-22=22, Resulting Numbers: [55, 22]
Generated Node #0,2,4: 11:[55, 22] Operation: 44-22=22
Moving to Node #0,0,1
Current State: 11:[8, 19], Operations: ['55-44=11', '30-11=19']
Exploring Operation: 8*19=152, Resulting Numbers: [152]
152,11 unequal: No Solution
Exploring Operation: 8+19=27, Resulting Numbers: [27]
27,11 unequal: No Solution
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[30, 55, 44, 8], Operations: []
Exploring Operation: 55-44=11, Resulting Numbers: [30, 8, 11]
Generated Node #0,0: 11:[30, 8, 11] Operation: 55-44=11
Moving to Node #0,0
Current State: 11:[30, 8, 11], Operations: ['55-44=11']
Exploring Operation: 30-11=19, Resulting Numbers: [8, 19]
Generated Node #0,0,1: 11:[8, 19] Operation: 30-11=19
Moving to Node #0,0,1
Current State: 11:[8, 19], Operations: ['55-44=11', '30-11=19']
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 0.954861
|
hs_5
|
mult_heuristic
|
[
44,
52,
17,
41
] | 57
|
[
"44+41=85",
"85/17=5",
"52+5=57"
] |
Current State: 57:[44, 52, 17, 41], Operations: []
Exploring Operation: 44+41=85, Resulting Numbers: [52, 17, 85]
Generated Node #2: [52, 17, 85] from Operation: 44+41=85
Current State: 57:[52, 17, 85], Operations: ['44+41=85']
Exploring Operation: 85/17=5, Resulting Numbers: [52, 5]
Generated Node #3: [52, 5] from Operation: 85/17=5
Current State: 57:[52, 5], Operations: ['44+41=85', '85/17=5']
Exploring Operation: 52+5=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4
|
Current State: 57:[44, 52, 17, 41], Operations: []
Exploring Operation: 52-41=11, Resulting Numbers: [44, 17, 11]
Generated Node #0,0: 57:[44, 17, 11] Operation: 52-41=11
Exploring Operation: 52-44=8, Resulting Numbers: [17, 41, 8]
Generated Node #0,1: 57:[17, 41, 8] Operation: 52-44=8
Exploring Operation: 17+41=58, Resulting Numbers: [44, 52, 58]
Generated Node #0,2: 57:[44, 52, 58] Operation: 17+41=58
Exploring Operation: 44-41=3, Resulting Numbers: [52, 17, 3]
Generated Node #0,3: 57:[52, 17, 3] Operation: 44-41=3
Moving to Node #0,3
Current State: 57:[52, 17, 3], Operations: ['44-41=3']
Exploring Operation: 17+3=20, Resulting Numbers: [52, 20]
Generated Node #0,3,0: 57:[52, 20] Operation: 17+3=20
Exploring Operation: 17-3=14, Resulting Numbers: [52, 14]
Generated Node #0,3,1: 57:[52, 14] Operation: 17-3=14
Exploring Operation: 52+3=55, Resulting Numbers: [17, 55]
Generated Node #0,3,2: 57:[17, 55] Operation: 52+3=55
Exploring Operation: 52-3=49, Resulting Numbers: [17, 49]
Generated Node #0,3,3: 57:[17, 49] Operation: 52-3=49
Moving to Node #0,2
Current State: 57:[44, 52, 58], Operations: ['17+41=58']
Exploring Operation: 58-52=6, Resulting Numbers: [44, 6]
Generated Node #0,2,0: 57:[44, 6] Operation: 58-52=6
Exploring Operation: 58-44=14, Resulting Numbers: [52, 14]
Generated Node #0,2,1: 57:[52, 14] Operation: 58-44=14
Exploring Operation: 44+52=96, Resulting Numbers: [58, 96]
Generated Node #0,2,2: 57:[58, 96] Operation: 44+52=96
Exploring Operation: 52-44=8, Resulting Numbers: [58, 8]
Generated Node #0,2,3: 57:[58, 8] Operation: 52-44=8
Moving to Node #0,1
Current State: 57:[17, 41, 8], Operations: ['52-44=8']
Exploring Operation: 41-8=33, Resulting Numbers: [17, 33]
Generated Node #0,1,0: 57:[17, 33] Operation: 41-8=33
Exploring Operation: 41-17=24, Resulting Numbers: [8, 24]
Generated Node #0,1,1: 57:[8, 24] Operation: 41-17=24
Exploring Operation: 41+8=49, Resulting Numbers: [17, 49]
Generated Node #0,1,2: 57:[17, 49] Operation: 41+8=49
Exploring Operation: 17+41=58, Resulting Numbers: [8, 58]
Generated Node #0,1,3: 57:[8, 58] Operation: 17+41=58
Moving to Node #0,0
Current State: 57:[44, 17, 11], Operations: ['52-41=11']
Exploring Operation: 44+11=55, Resulting Numbers: [17, 55]
Generated Node #0,0,0: 57:[17, 55] Operation: 44+11=55
Exploring Operation: 44+17=61, Resulting Numbers: [11, 61]
Generated Node #0,0,1: 57:[11, 61] Operation: 44+17=61
Exploring Operation: 44/11=4, Resulting Numbers: [17, 4]
Generated Node #0,0,2: 57:[17, 4] Operation: 44/11=4
Exploring Operation: 44-17=27, Resulting Numbers: [11, 27]
Generated Node #0,0,3: 57:[11, 27] Operation: 44-17=27
Moving to Node #0,0,2
Current State: 57:[17, 4], Operations: ['52-41=11', '44/11=4']
Exploring Operation: 17*4=68, Resulting Numbers: [68]
68,57 unequal: No Solution
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,57 unequal: No Solution
Exploring Operation: 17+4=21, Resulting Numbers: [21]
21,57 unequal: No Solution
Moving to Node #0,3,2
Current State: 57:[17, 55], Operations: ['44-41=3', '52+3=55']
Exploring Operation: 17+55=72, Resulting Numbers: [72]
72,57 unequal: No Solution
Exploring Operation: 17*55=935, Resulting Numbers: [935]
935,57 unequal: No Solution
Exploring Operation: 55-17=38, Resulting Numbers: [38]
38,57 unequal: No Solution
Moving to Node #0,0,0
Current State: 57:[17, 55], Operations: ['52-41=11', '44+11=55']
Exploring Operation: 17+55=72, Resulting Numbers: [72]
72,57 unequal: No Solution
Exploring Operation: 55-17=38, Resulting Numbers: [38]
38,57 unequal: No Solution
Exploring Operation: 17*55=935, Resulting Numbers: [935]
935,57 unequal: No Solution
Moving to Node #0,3,0
Current State: 57:[52, 20], Operations: ['44-41=3', '17+3=20']
Exploring Operation: 52+20=72, Resulting Numbers: [72]
72,57 unequal: No Solution
Exploring Operation: 52*20=1040, Resulting Numbers: [1040]
1040,57 unequal: No Solution
Exploring Operation: 52-20=32, Resulting Numbers: [32]
32,57 unequal: No Solution
Moving to Node #0,2,3
Current State: 57:[58, 8], Operations: ['17+41=58', '52-44=8']
Exploring Operation: 58-8=50, Resulting Numbers: [50]
50,57 unequal: No Solution
Exploring Operation: 58*8=464, Resulting Numbers: [464]
464,57 unequal: No Solution
Exploring Operation: 58+8=66, Resulting Numbers: [66]
66,57 unequal: No Solution
Moving to Node #0,1,3
Current State: 57:[8, 58], Operations: ['52-44=8', '17+41=58']
Exploring Operation: 8+58=66, Resulting Numbers: [66]
66,57 unequal: No Solution
Exploring Operation: 8*58=464, Resulting Numbers: [464]
464,57 unequal: No Solution
Exploring Operation: 58-8=50, Resulting Numbers: [50]
50,57 unequal: No Solution
Moving to Node #0,3,1
Current State: 57:[52, 14], Operations: ['44-41=3', '17-3=14']
Exploring Operation: 52+14=66, Resulting Numbers: [66]
66,57 unequal: No Solution
Exploring Operation: 52*14=728, Resulting Numbers: [728]
728,57 unequal: No Solution
Exploring Operation: 52-14=38, Resulting Numbers: [38]
38,57 unequal: No Solution
Moving to Node #0,2,1
Current State: 57:[52, 14], Operations: ['17+41=58', '58-44=14']
Exploring Operation: 52*14=728, Resulting Numbers: [728]
728,57 unequal: No Solution
Exploring Operation: 52+14=66, Resulting Numbers: [66]
66,57 unequal: No Solution
Exploring Operation: 52-14=38, Resulting Numbers: [38]
38,57 unequal: No Solution
Moving to Node #0,1,2
Current State: 57:[17, 49], Operations: ['52-44=8', '41+8=49']
Exploring Operation: 49-17=32, Resulting Numbers: [32]
32,57 unequal: No Solution
Exploring Operation: 17*49=833, Resulting Numbers: [833]
833,57 unequal: No Solution
Exploring Operation: 17+49=66, Resulting Numbers: [66]
66,57 unequal: No Solution
Moving to Node #0,1,1
Current State: 57:[8, 24], Operations: ['52-44=8', '41-17=24']
Exploring Operation: 24/8=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,57 unequal: No Solution
Exploring Operation: 8+24=32, Resulting Numbers: [32]
32,57 unequal: No Solution
Exploring Operation: 8*24=192, Resulting Numbers: [192]
192,57 unequal: No Solution
Moving to Node #0,3,3
Current State: 57:[17, 49], Operations: ['44-41=3', '52-3=49']
Exploring Operation: 49-17=32, Resulting Numbers: [32]
32,57 unequal: No Solution
Exploring Operation: 17*49=833, Resulting Numbers: [833]
833,57 unequal: No Solution
Exploring Operation: 17+49=66, Resulting Numbers: [66]
66,57 unequal: No Solution
Moving to Node #0,0,1
Current State: 57:[11, 61], Operations: ['52-41=11', '44+17=61']
Exploring Operation: 61-11=50, Resulting Numbers: [50]
50,57 unequal: No Solution
Exploring Operation: 11*61=671, Resulting Numbers: [671]
671,57 unequal: No Solution
Exploring Operation: 11+61=72, Resulting Numbers: [72]
72,57 unequal: No Solution
Moving to Node #0,2,0
Current State: 57:[44, 6], Operations: ['17+41=58', '58-52=6']
Exploring Operation: 44+6=50, Resulting Numbers: [50]
50,57 unequal: No Solution
Exploring Operation: 44*6=264, Resulting Numbers: [264]
264,57 unequal: No Solution
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,57 unequal: No Solution
Moving to Node #0,0,3
Current State: 57:[11, 27], Operations: ['52-41=11', '44-17=27']
Exploring Operation: 27-11=16, Resulting Numbers: [16]
16,57 unequal: No Solution
Exploring Operation: 11*27=297, Resulting Numbers: [297]
297,57 unequal: No Solution
Exploring Operation: 11+27=38, Resulting Numbers: [38]
38,57 unequal: No Solution
Moving to Node #0,1,0
Current State: 57:[17, 33], Operations: ['52-44=8', '41-8=33']
Exploring Operation: 17+33=50, Resulting Numbers: [50]
50,57 unequal: No Solution
Exploring Operation: 33-17=16, Resulting Numbers: [16]
16,57 unequal: No Solution
Exploring Operation: 17*33=561, Resulting Numbers: [561]
561,57 unequal: No Solution
Moving to Node #0,2,2
Current State: 57:[58, 96], Operations: ['17+41=58', '44+52=96']
Exploring Operation: 58+96=154, Resulting Numbers: [154]
154,57 unequal: No Solution
Exploring Operation: 96-58=38, Resulting Numbers: [38]
38,57 unequal: No Solution
Exploring Operation: 58*96=5568, Resulting Numbers: [5568]
5568,57 unequal: No Solution
No solution found.
| 0
|
hs_4
|
sum_heuristic
|
[
47,
92,
33,
30
] | 15
|
[
"92-47=45",
"33-30=3",
"45/3=15"
] |
Current State: 15:[47, 92, 33, 30], Operations: []
Exploring Operation: 92-47=45, Resulting Numbers: [33, 30, 45]
Generated Node #2: [33, 30, 45] from Operation: 92-47=45
Current State: 15:[33, 30, 45], Operations: ['92-47=45']
Exploring Operation: 33-30=3, Resulting Numbers: [45, 3]
Generated Node #3: [45, 3] from Operation: 33-30=3
Current State: 15:[45, 3], Operations: ['92-47=45', '33-30=3']
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4
|
Current State: 15:[47, 92, 33, 30], Operations: []
Exploring Operation: 47-30=17, Resulting Numbers: [92, 33, 17]
Generated Node #0,0: 15:[92, 33, 17] Operation: 47-30=17
Exploring Operation: 92-33=59, Resulting Numbers: [47, 30, 59]
Generated Node #0,1: 15:[47, 30, 59] Operation: 92-33=59
Exploring Operation: 92-47=45, Resulting Numbers: [33, 30, 45]
Generated Node #0,2: 15:[33, 30, 45] Operation: 92-47=45
Exploring Operation: 47-33=14, Resulting Numbers: [92, 30, 14]
Generated Node #0,3: 15:[92, 30, 14] Operation: 47-33=14
Moving to Node #0,2
Current State: 15:[33, 30, 45], Operations: ['92-47=45']
Exploring Operation: 33+30=63, Resulting Numbers: [45, 63]
Generated Node #0,2,0: 15:[45, 63] Operation: 33+30=63
Exploring Operation: 45-30=15, Resulting Numbers: [33, 15]
Generated Node #0,2,1: 15:[33, 15] Operation: 45-30=15
Exploring Operation: 33-30=3, Resulting Numbers: [45, 3]
Generated Node #0,2,2: 15:[45, 3] Operation: 33-30=3
Exploring Operation: 45-33=12, Resulting Numbers: [30, 12]
Generated Node #0,2,3: 15:[30, 12] Operation: 45-33=12
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 15:[33, 15], Operations: ['92-47=45', '45-30=15']
Exploring Operation: 33+15=48, Resulting Numbers: [48]
48,15 unequal: No Solution
Exploring Operation: 33*15=495, Resulting Numbers: [495]
495,15 unequal: No Solution
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,15 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 #0,2,3
Current State: 15:[30, 12], Operations: ['92-47=45', '45-33=12']
Exploring Operation: 30*12=360, Resulting Numbers: [360]
360,15 unequal: No Solution
Exploring Operation: 30+12=42, Resulting Numbers: [42]
42,15 unequal: No Solution
Exploring Operation: 30-12=18, Resulting Numbers: [18]
18,15 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:[45, 3], Operations: ['92-47=45', '33-30=3']
Exploring Operation: 45*3=135, Resulting Numbers: [135]
135,15 unequal: No Solution
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[47, 92, 33, 30], Operations: []
Exploring Operation: 92-47=45, Resulting Numbers: [33, 30, 45]
Generated Node #0,2: 15:[33, 30, 45] Operation: 92-47=45
Moving to Node #0,2
Current State: 15:[33, 30, 45], Operations: ['92-47=45']
Exploring Operation: 33-30=3, Resulting Numbers: [45, 3]
Generated Node #0,2,2: 15:[45, 3] Operation: 33-30=3
Moving to Node #0,2,2
Current State: 15:[45, 3], Operations: ['92-47=45', '33-30=3']
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639
|
hs_4
|
sum_heuristic
|
[
45,
96,
64,
96
] | 64
|
[
"96-96=0",
"45*0=0",
"64+0=64"
] |
Current State: 64:[45, 96, 64, 96], Operations: []
Exploring Operation: 96-96=0, Resulting Numbers: [45, 64, 0]
Generated Node #2: [45, 64, 0] from Operation: 96-96=0
Current State: 64:[45, 64, 0], Operations: ['96-96=0']
Exploring Operation: 45*0=0, Resulting Numbers: [64, 0]
Generated Node #3: [64, 0] from Operation: 45*0=0
Current State: 64:[64, 0], Operations: ['96-96=0', '45*0=0']
Exploring Operation: 64+0=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4
|
Current State: 64:[45, 96, 64, 96], Operations: []
Exploring Operation: 96-96=0, Resulting Numbers: [45, 64, 0]
Generated Node #0,0: 64:[45, 64, 0] Operation: 96-96=0
Exploring Operation: 96/96=1, Resulting Numbers: [45, 64, 1]
Generated Node #0,1: 64:[45, 64, 1] Operation: 96/96=1
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[45, 64, 1], Operations: ['96/96=1']
Exploring Operation: 45-1=44, Resulting Numbers: [64, 44]
Generated Node #0,1,0: 64:[64, 44] Operation: 45-1=44
Exploring Operation: 64-45=19, Resulting Numbers: [1, 19]
Generated Node #0,1,1: 64:[1, 19] Operation: 64-45=19
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 64:[1, 19], Operations: ['96/96=1', '64-45=19']
Exploring Operation: 1*19=19, Resulting Numbers: [19]
19,64 unequal: No Solution
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 64:[64, 44], Operations: ['96/96=1', '45-1=44']
Exploring Operation: 64+44=108, Resulting Numbers: [108]
108,64 unequal: No Solution
Exploring Operation: 64-44=20, Resulting Numbers: [20]
20,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[45, 64, 0], Operations: ['96-96=0']
Exploring Operation: 64-45=19, Resulting Numbers: [0, 19]
Generated Node #0,0,0: 64:[0, 19] Operation: 64-45=19
Exploring Operation: 45*0=0, Resulting Numbers: [64, 0]
Generated Node #0,0,1: 64:[64, 0] Operation: 45*0=0
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 64:[64, 0], Operations: ['96-96=0', '45*0=0']
Exploring Operation: 64-0=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[45, 96, 64, 96], Operations: []
Exploring Operation: 96-96=0, Resulting Numbers: [45, 64, 0]
Generated Node #0,0: 64:[45, 64, 0] Operation: 96-96=0
Moving to Node #0,0
Current State: 64:[45, 64, 0], Operations: ['96-96=0']
Exploring Operation: 45*0=0, Resulting Numbers: [64, 0]
Generated Node #0,0,1: 64:[64, 0] Operation: 45*0=0
Moving to Node #0,0,1
Current State: 64:[64, 0], Operations: ['96-96=0', '45*0=0']
Exploring Operation: 64-0=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979
|
hs_2
|
mult_heuristic
|
[
84,
26,
8,
24
] | 90
|
[
"84-26=58",
"8+24=32",
"58+32=90"
] |
Current State: 90:[84, 26, 8, 24], Operations: []
Exploring Operation: 84-26=58, Resulting Numbers: [8, 24, 58]
Generated Node #2: [8, 24, 58] from Operation: 84-26=58
Current State: 90:[8, 24, 58], Operations: ['84-26=58']
Exploring Operation: 8+24=32, Resulting Numbers: [58, 32]
Generated Node #3: [58, 32] from Operation: 8+24=32
Current State: 90:[58, 32], Operations: ['84-26=58', '8+24=32']
Exploring Operation: 58+32=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4
|
Current State: 90:[84, 26, 8, 24], Operations: []
Exploring Operation: 26-8=18, Resulting Numbers: [84, 24, 18]
Generated Node #0,0: 90:[84, 24, 18] Operation: 26-8=18
Exploring Operation: 26-24=2, Resulting Numbers: [84, 8, 2]
Generated Node #0,1: 90:[84, 8, 2] Operation: 26-24=2
Exploring Operation: 84+8=92, Resulting Numbers: [26, 24, 92]
Generated Node #0,2: 90:[26, 24, 92] Operation: 84+8=92
Exploring Operation: 24/8=3, Resulting Numbers: [84, 26, 3]
Generated Node #0,3: 90:[84, 26, 3] Operation: 24/8=3
Exploring Operation: 24-8=16, Resulting Numbers: [84, 26, 16]
Generated Node #0,4: 90:[84, 26, 16] Operation: 24-8=16
Moving to Node #0,1
Current State: 90:[84, 8, 2], Operations: ['26-24=2']
Exploring Operation: 84/2=42, Resulting Numbers: [8, 42]
Generated Node #0,1,0: 90:[8, 42] Operation: 84/2=42
Exploring Operation: 8-2=6, Resulting Numbers: [84, 6]
Generated Node #0,1,1: 90:[84, 6] Operation: 8-2=6
Exploring Operation: 84+2=86, Resulting Numbers: [8, 86]
Generated Node #0,1,2: 90:[8, 86] Operation: 84+2=86
Exploring Operation: 84+8=92, Resulting Numbers: [2, 92]
Generated Node #0,1,3: 90:[2, 92] Operation: 84+8=92
Exploring Operation: 8+2=10, Resulting Numbers: [84, 10]
Generated Node #0,1,4: 90:[84, 10] Operation: 8+2=10
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 90:[2, 92], Operations: ['26-24=2', '84+8=92']
Exploring Operation: 92-2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[84, 26, 8, 24], Operations: []
Exploring Operation: 26-24=2, Resulting Numbers: [84, 8, 2]
Generated Node #0,1: 90:[84, 8, 2] Operation: 26-24=2
Moving to Node #0,1
Current State: 90:[84, 8, 2], Operations: ['26-24=2']
Exploring Operation: 84+8=92, Resulting Numbers: [2, 92]
Generated Node #0,1,3: 90:[2, 92] Operation: 84+8=92
Moving to Node #0,1,3
Current State: 90:[2, 92], Operations: ['26-24=2', '84+8=92']
Exploring Operation: 92-2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979
|
hs_5
|
sum_heuristic
|
[
32,
88,
97,
82
] | 59
|
[
"32+88=120",
"97+82=179",
"179-120=59"
] |
Current State: 59:[32, 88, 97, 82], Operations: []
Exploring Operation: 32+88=120, Resulting Numbers: [97, 82, 120]
Generated Node #2: [97, 82, 120] from Operation: 32+88=120
Current State: 59:[97, 82, 120], Operations: ['32+88=120']
Exploring Operation: 97+82=179, Resulting Numbers: [120, 179]
Generated Node #3: [120, 179] from Operation: 97+82=179
Current State: 59:[120, 179], Operations: ['32+88=120', '97+82=179']
Exploring Operation: 179-120=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4
|
Current State: 59:[32, 88, 97, 82], Operations: []
Exploring Operation: 97-32=65, Resulting Numbers: [88, 82, 65]
Generated Node #0,0: 59:[88, 82, 65] Operation: 97-32=65
Moving to Node #0,0
Current State: 59:[88, 82, 65], Operations: ['97-32=65']
Exploring Operation: 88-82=6, Resulting Numbers: [65, 6]
Generated Node #0,0,0: 59:[65, 6] Operation: 88-82=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 59:[65, 6], Operations: ['97-32=65', '88-82=6']
Exploring Operation: 65-6=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[32, 88, 97, 82], Operations: []
Exploring Operation: 97-32=65, Resulting Numbers: [88, 82, 65]
Generated Node #0,0: 59:[88, 82, 65] Operation: 97-32=65
Moving to Node #0,0
Current State: 59:[88, 82, 65], Operations: ['97-32=65']
Exploring Operation: 88-82=6, Resulting Numbers: [65, 6]
Generated Node #0,0,0: 59:[65, 6] Operation: 88-82=6
Moving to Node #0,0,0
Current State: 59:[65, 6], Operations: ['97-32=65', '88-82=6']
Exploring Operation: 65-6=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
mult_heuristic
|
[
51,
56,
37,
5
] | 62
|
[
"56-51=5",
"5*5=25",
"37+25=62"
] |
Current State: 62:[51, 56, 37, 5], Operations: []
Exploring Operation: 56-51=5, Resulting Numbers: [37, 5, 5]
Generated Node #2: [37, 5, 5] from Operation: 56-51=5
Current State: 62:[37, 5, 5], Operations: ['56-51=5']
Exploring Operation: 5*5=25, Resulting Numbers: [37, 25]
Generated Node #3: [37, 25] from Operation: 5*5=25
Current State: 62:[37, 25], Operations: ['56-51=5', '5*5=25']
Exploring Operation: 37+25=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4
|
Current State: 62:[51, 56, 37, 5], Operations: []
Exploring Operation: 56-51=5, Resulting Numbers: [37, 5, 5]
Generated Node #0,0: 62:[37, 5, 5] Operation: 56-51=5
Moving to Node #0,0
Current State: 62:[37, 5, 5], Operations: ['56-51=5']
Exploring Operation: 37-5=32, Resulting Numbers: [5, 32]
Generated Node #0,0,0: 62:[5, 32] Operation: 37-5=32
Moving to Node #0,0,0
Current State: 62:[5, 32], Operations: ['56-51=5', '37-5=32']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,62 unequal: No Solution
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
48,
9,
12,
32
] | 68
|
[
"48*9=432",
"432/12=36",
"32+36=68"
] |
Current State: 68:[48, 9, 12, 32], Operations: []
Exploring Operation: 48*9=432, Resulting Numbers: [12, 32, 432]
Generated Node #2: [12, 32, 432] from Operation: 48*9=432
Current State: 68:[12, 32, 432], Operations: ['48*9=432']
Exploring Operation: 432/12=36, Resulting Numbers: [32, 36]
Generated Node #3: [32, 36] from Operation: 432/12=36
Current State: 68:[32, 36], Operations: ['48*9=432', '432/12=36']
Exploring Operation: 32+36=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4
|
Current State: 68:[48, 9, 12, 32], Operations: []
Exploring Operation: 48/12=4, Resulting Numbers: [9, 32, 4]
Generated Node #0,0: 68:[9, 32, 4] Operation: 48/12=4
Exploring Operation: 48-32=16, Resulting Numbers: [9, 12, 16]
Generated Node #0,1: 68:[9, 12, 16] Operation: 48-32=16
Exploring Operation: 48-12=36, Resulting Numbers: [9, 32, 36]
Generated Node #0,2: 68:[9, 32, 36] Operation: 48-12=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[9, 32, 4], Operations: ['48/12=4']
Exploring Operation: 9*4=36, Resulting Numbers: [32, 36]
Generated Node #0,0,0: 68:[32, 36] Operation: 9*4=36
Exploring Operation: 32-9=23, Resulting Numbers: [4, 23]
Generated Node #0,0,1: 68:[4, 23] Operation: 32-9=23
Exploring Operation: 9-4=5, Resulting Numbers: [32, 5]
Generated Node #0,0,2: 68:[32, 5] Operation: 9-4=5
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 68:[32, 5], Operations: ['48/12=4', '9-4=5']
Exploring Operation: 32+5=37, Resulting Numbers: [37]
37,68 unequal: No Solution
Exploring Operation: 32*5=160, Resulting Numbers: [160]
160,68 unequal: No Solution
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 68:[32, 36], Operations: ['48/12=4', '9*4=36']
Exploring Operation: 36-32=4, Resulting Numbers: [4]
4,68 unequal: No Solution
Exploring Operation: 32*36=1152, Resulting Numbers: [1152]
1152,68 unequal: No Solution
Exploring Operation: 32+36=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[48, 9, 12, 32], Operations: []
Exploring Operation: 48/12=4, Resulting Numbers: [9, 32, 4]
Generated Node #0,0: 68:[9, 32, 4] Operation: 48/12=4
Moving to Node #0,0
Current State: 68:[9, 32, 4], Operations: ['48/12=4']
Exploring Operation: 9*4=36, Resulting Numbers: [32, 36]
Generated Node #0,0,0: 68:[32, 36] Operation: 9*4=36
Moving to Node #0,0,0
Current State: 68:[32, 36], Operations: ['48/12=4', '9*4=36']
Exploring Operation: 32+36=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111
|
hs_3
|
sum_heuristic
|
[
49,
20,
72,
78
] | 81
|
[
"49+20=69",
"72+78=150",
"150-69=81"
] |
Current State: 81:[49, 20, 72, 78], Operations: []
Exploring Operation: 49+20=69, Resulting Numbers: [72, 78, 69]
Generated Node #2: [72, 78, 69] from Operation: 49+20=69
Current State: 81:[72, 78, 69], Operations: ['49+20=69']
Exploring Operation: 72+78=150, Resulting Numbers: [69, 150]
Generated Node #3: [69, 150] from Operation: 72+78=150
Current State: 81:[69, 150], Operations: ['49+20=69', '72+78=150']
Exploring Operation: 150-69=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4
|
Current State: 81:[49, 20, 72, 78], Operations: []
Exploring Operation: 78-49=29, Resulting Numbers: [20, 72, 29]
Generated Node #0,0: 81:[20, 72, 29] Operation: 78-49=29
Exploring Operation: 72-49=23, Resulting Numbers: [20, 78, 23]
Generated Node #0,1: 81:[20, 78, 23] Operation: 72-49=23
Exploring Operation: 49-20=29, Resulting Numbers: [72, 78, 29]
Generated Node #0,2: 81:[72, 78, 29] Operation: 49-20=29
Start Sub Search at level 1: Moving to Node #0,1
Current State: 81:[20, 78, 23], Operations: ['72-49=23']
Exploring Operation: 20+78=98, Resulting Numbers: [23, 98]
Generated Node #0,1,0: 81:[23, 98] Operation: 20+78=98
Exploring Operation: 23-20=3, Resulting Numbers: [78, 3]
Generated Node #0,1,1: 81:[78, 3] Operation: 23-20=3
Exploring Operation: 20+23=43, Resulting Numbers: [78, 43]
Generated Node #0,1,2: 81:[78, 43] Operation: 20+23=43
Moving to Node #0,1,1
Current State: 81:[78, 3], Operations: ['72-49=23', '23-20=3']
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,81 unequal: No Solution
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,81 unequal: No Solution
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[49, 20, 72, 78], Operations: []
Exploring Operation: 72-49=23, Resulting Numbers: [20, 78, 23]
Generated Node #0,1: 81:[20, 78, 23] Operation: 72-49=23
Moving to Node #0,1
Current State: 81:[20, 78, 23], Operations: ['72-49=23']
Exploring Operation: 23-20=3, Resulting Numbers: [78, 3]
Generated Node #0,1,1: 81:[78, 3] Operation: 23-20=3
Moving to Node #0,1,1
Current State: 81:[78, 3], Operations: ['72-49=23', '23-20=3']
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715
|
hs_3
|
sum_heuristic
|
[
15,
89,
29,
25
] | 70
|
[
"89-15=74",
"29-25=4",
"74-4=70"
] |
Current State: 70:[15, 89, 29, 25], Operations: []
Exploring Operation: 89-15=74, Resulting Numbers: [29, 25, 74]
Generated Node #2: [29, 25, 74] from Operation: 89-15=74
Current State: 70:[29, 25, 74], Operations: ['89-15=74']
Exploring Operation: 29-25=4, Resulting Numbers: [74, 4]
Generated Node #3: [74, 4] from Operation: 29-25=4
Current State: 70:[74, 4], Operations: ['89-15=74', '29-25=4']
Exploring Operation: 74-4=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4
|
Current State: 70:[15, 89, 29, 25], Operations: []
Exploring Operation: 89-25=64, Resulting Numbers: [15, 29, 64]
Generated Node #0,0: 70:[15, 29, 64] Operation: 89-25=64
Moving to Node #0,0
Current State: 70:[15, 29, 64], Operations: ['89-25=64']
Exploring Operation: 64-29=35, Resulting Numbers: [15, 35]
Generated Node #0,0,0: 70:[15, 35] Operation: 64-29=35
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[15, 35], Operations: ['89-25=64', '64-29=35']
Exploring Operation: 35-15=20, Resulting Numbers: [20]
20,70 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
|
[
18,
6,
11,
72
] | 62
|
[
"72/18=4",
"6*11=66",
"66-4=62"
] |
Current State: 62:[18, 6, 11, 72], Operations: []
Exploring Operation: 72/18=4, Resulting Numbers: [6, 11, 4]
Generated Node #2: [6, 11, 4] from Operation: 72/18=4
Current State: 62:[6, 11, 4], Operations: ['72/18=4']
Exploring Operation: 6*11=66, Resulting Numbers: [4, 66]
Generated Node #3: [4, 66] from Operation: 6*11=66
Current State: 62:[4, 66], Operations: ['72/18=4', '6*11=66']
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4
|
Current State: 62:[18, 6, 11, 72], Operations: []
Exploring Operation: 18+11=29, Resulting Numbers: [6, 72, 29]
Generated Node #0,0: 62:[6, 72, 29] Operation: 18+11=29
Exploring Operation: 72/18=4, Resulting Numbers: [6, 11, 4]
Generated Node #0,1: 62:[6, 11, 4] Operation: 72/18=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 62:[6, 11, 4], Operations: ['72/18=4']
Exploring Operation: 6*11=66, Resulting Numbers: [4, 66]
Generated Node #0,1,0: 62:[4, 66] Operation: 6*11=66
Exploring Operation: 11-6=5, Resulting Numbers: [4, 5]
Generated Node #0,1,1: 62:[4, 5] Operation: 11-6=5
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 62:[4, 5], Operations: ['72/18=4', '11-6=5']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,62 unequal: No Solution
No 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: 62:[4, 66], Operations: ['72/18=4', '6*11=66']
Exploring Operation: 4+66=70, Resulting Numbers: [70]
70,62 unequal: No Solution
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[18, 6, 11, 72], Operations: []
Exploring Operation: 72/18=4, Resulting Numbers: [6, 11, 4]
Generated Node #0,1: 62:[6, 11, 4] Operation: 72/18=4
Moving to Node #0,1
Current State: 62:[6, 11, 4], Operations: ['72/18=4']
Exploring Operation: 6*11=66, Resulting Numbers: [4, 66]
Generated Node #0,1,0: 62:[4, 66] Operation: 6*11=66
Moving to Node #0,1,0
Current State: 62:[4, 66], Operations: ['72/18=4', '6*11=66']
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583
|
hs_2
|
mult_heuristic
|
[
51,
9,
69,
81
] | 79
|
[
"69-51=18",
"18/9=2",
"81-2=79"
] |
Current State: 79:[51, 9, 69, 81], Operations: []
Exploring Operation: 69-51=18, Resulting Numbers: [9, 81, 18]
Generated Node #2: [9, 81, 18] from Operation: 69-51=18
Current State: 79:[9, 81, 18], Operations: ['69-51=18']
Exploring Operation: 18/9=2, Resulting Numbers: [81, 2]
Generated Node #3: [81, 2] from Operation: 18/9=2
Current State: 79:[81, 2], Operations: ['69-51=18', '18/9=2']
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4
|
Current State: 79:[51, 9, 69, 81], Operations: []
Exploring Operation: 69-9=60, Resulting Numbers: [51, 81, 60]
Generated Node #0,0: 79:[51, 81, 60] Operation: 69-9=60
Exploring Operation: 51-9=42, Resulting Numbers: [69, 81, 42]
Generated Node #0,1: 79:[69, 81, 42] Operation: 51-9=42
Exploring Operation: 51+9=60, Resulting Numbers: [69, 81, 60]
Generated Node #0,2: 79:[69, 81, 60] Operation: 51+9=60
Exploring Operation: 81-9=72, Resulting Numbers: [51, 69, 72]
Generated Node #0,3: 79:[51, 69, 72] Operation: 81-9=72
Exploring Operation: 9+69=78, Resulting Numbers: [51, 81, 78]
Generated Node #0,4: 79:[51, 81, 78] Operation: 9+69=78
Moving to Node #0,2
Current State: 79:[69, 81, 60], Operations: ['51+9=60']
Exploring Operation: 81+60=141, Resulting Numbers: [69, 141]
Generated Node #0,2,0: 79:[69, 141] Operation: 81+60=141
Exploring Operation: 69+60=129, Resulting Numbers: [81, 129]
Generated Node #0,2,1: 79:[81, 129] Operation: 69+60=129
Exploring Operation: 81-69=12, Resulting Numbers: [60, 12]
Generated Node #0,2,2: 79:[60, 12] Operation: 81-69=12
Exploring Operation: 81-60=21, Resulting Numbers: [69, 21]
Generated Node #0,2,3: 79:[69, 21] Operation: 81-60=21
Exploring Operation: 69-60=9, Resulting Numbers: [81, 9]
Generated Node #0,2,4: 79:[81, 9] Operation: 69-60=9
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 79:[81, 129], Operations: ['51+9=60', '69+60=129']
Exploring Operation: 81*129=10449, Resulting Numbers: [10449]
10449,79 unequal: No Solution
Exploring Operation: 81+129=210, Resulting Numbers: [210]
210,79 unequal: No Solution
Exploring Operation: 129-81=48, Resulting Numbers: [48]
48,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 79:[69, 21], Operations: ['51+9=60', '81-60=21']
Exploring Operation: 69*21=1449, Resulting Numbers: [1449]
1449,79 unequal: No Solution
Exploring Operation: 69+21=90, Resulting Numbers: [90]
90,79 unequal: No Solution
Exploring Operation: 69-21=48, Resulting Numbers: [48]
48,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 79:[69, 141], Operations: ['51+9=60', '81+60=141']
Exploring Operation: 69+141=210, Resulting Numbers: [210]
210,79 unequal: No Solution
Exploring Operation: 141-69=72, Resulting Numbers: [72]
72,79 unequal: No Solution
Exploring Operation: 69*141=9729, Resulting Numbers: [9729]
9729,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 79:[81, 9], Operations: ['51+9=60', '69-60=9']
Exploring Operation: 81+9=90, Resulting Numbers: [90]
90,79 unequal: No Solution
Exploring Operation: 81-9=72, Resulting Numbers: [72]
72,79 unequal: No Solution
Exploring Operation: 81*9=729, Resulting Numbers: [729]
729,79 unequal: No Solution
Exploring Operation: 81/9=9, Resulting Numbers: [9]
9,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 79:[60, 12], Operations: ['51+9=60', '81-69=12']
Exploring Operation: 60*12=720, Resulting Numbers: [720]
720,79 unequal: No Solution
Exploring Operation: 60+12=72, Resulting Numbers: [72]
72,79 unequal: No Solution
Exploring Operation: 60/12=5, Resulting Numbers: [5]
5,79 unequal: No Solution
Exploring Operation: 60-12=48, Resulting Numbers: [48]
48,79 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: 79:[51, 81, 78], Operations: ['9+69=78']
Exploring Operation: 51+81=132, Resulting Numbers: [78, 132]
Generated Node #0,4,0: 79:[78, 132] Operation: 51+81=132
Exploring Operation: 81-51=30, Resulting Numbers: [78, 30]
Generated Node #0,4,1: 79:[78, 30] Operation: 81-51=30
Exploring Operation: 51+78=129, Resulting Numbers: [81, 129]
Generated Node #0,4,2: 79:[81, 129] Operation: 51+78=129
Exploring Operation: 81-78=3, Resulting Numbers: [51, 3]
Generated Node #0,4,3: 79:[51, 3] Operation: 81-78=3
Exploring Operation: 78-51=27, Resulting Numbers: [81, 27]
Generated Node #0,4,4: 79:[81, 27] Operation: 78-51=27
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 79:[78, 30], Operations: ['9+69=78', '81-51=30']
Exploring Operation: 78-30=48, Resulting Numbers: [48]
48,79 unequal: No Solution
Exploring Operation: 78*30=2340, Resulting Numbers: [2340]
2340,79 unequal: No Solution
Exploring Operation: 78+30=108, Resulting Numbers: [108]
108,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 79:[81, 129], Operations: ['9+69=78', '51+78=129']
Exploring Operation: 81+129=210, Resulting Numbers: [210]
210,79 unequal: No Solution
Exploring Operation: 81*129=10449, Resulting Numbers: [10449]
10449,79 unequal: No Solution
Exploring Operation: 129-81=48, Resulting Numbers: [48]
48,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 79:[78, 132], Operations: ['9+69=78', '51+81=132']
Exploring Operation: 78*132=10296, Resulting Numbers: [10296]
10296,79 unequal: No Solution
Exploring Operation: 78+132=210, Resulting Numbers: [210]
210,79 unequal: No Solution
Exploring Operation: 132-78=54, Resulting Numbers: [54]
54,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 79:[81, 27], Operations: ['9+69=78', '78-51=27']
Exploring Operation: 81-27=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Exploring Operation: 81*27=2187, Resulting Numbers: [2187]
2187,79 unequal: No Solution
Exploring Operation: 81+27=108, Resulting Numbers: [108]
108,79 unequal: No Solution
Exploring Operation: 81/27=3, Resulting Numbers: [3]
3,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 79:[51, 3], Operations: ['9+69=78', '81-78=3']
Exploring Operation: 51+3=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Exploring Operation: 51*3=153, Resulting Numbers: [153]
153,79 unequal: No Solution
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,79 unequal: No Solution
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,79 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: 79:[51, 69, 72], Operations: ['81-9=72']
Exploring Operation: 51+72=123, Resulting Numbers: [69, 123]
Generated Node #0,3,0: 79:[69, 123] Operation: 51+72=123
Exploring Operation: 72-51=21, Resulting Numbers: [69, 21]
Generated Node #0,3,1: 79:[69, 21] Operation: 72-51=21
Exploring Operation: 69-51=18, Resulting Numbers: [72, 18]
Generated Node #0,3,2: 79:[72, 18] Operation: 69-51=18
Exploring Operation: 51+69=120, Resulting Numbers: [72, 120]
Generated Node #0,3,3: 79:[72, 120] Operation: 51+69=120
Exploring Operation: 69+72=141, Resulting Numbers: [51, 141]
Generated Node #0,3,4: 79:[51, 141] Operation: 69+72=141
Moving to Node #0,0
Current State: 79:[51, 81, 60], Operations: ['69-9=60']
Exploring Operation: 51+81=132, Resulting Numbers: [60, 132]
Generated Node #0,0,0: 79:[60, 132] Operation: 51+81=132
Exploring Operation: 51+60=111, Resulting Numbers: [81, 111]
Generated Node #0,0,1: 79:[81, 111] Operation: 51+60=111
Exploring Operation: 81-60=21, Resulting Numbers: [51, 21]
Generated Node #0,0,2: 79:[51, 21] Operation: 81-60=21
Exploring Operation: 60-51=9, Resulting Numbers: [81, 9]
Generated Node #0,0,3: 79:[81, 9] Operation: 60-51=9
Exploring Operation: 81-51=30, Resulting Numbers: [60, 30]
Generated Node #0,0,4: 79:[60, 30] Operation: 81-51=30
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 79:[81, 111], Operations: ['69-9=60', '51+60=111']
Exploring Operation: 111-81=30, Resulting Numbers: [30]
30,79 unequal: No Solution
Exploring Operation: 81*111=8991, Resulting Numbers: [8991]
8991,79 unequal: No Solution
Exploring Operation: 81+111=192, Resulting Numbers: [192]
192,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 79:[60, 30], Operations: ['69-9=60', '81-51=30']
Exploring Operation: 60/30=2, Resulting Numbers: [2]
2,79 unequal: No Solution
Exploring Operation: 60*30=1800, Resulting Numbers: [1800]
1800,79 unequal: No Solution
Exploring Operation: 60+30=90, Resulting Numbers: [90]
90,79 unequal: No Solution
Exploring Operation: 60-30=30, Resulting Numbers: [30]
30,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 79:[60, 132], Operations: ['69-9=60', '51+81=132']
Exploring Operation: 60+132=192, Resulting Numbers: [192]
192,79 unequal: No Solution
Exploring Operation: 60*132=7920, Resulting Numbers: [7920]
7920,79 unequal: No Solution
Exploring Operation: 132-60=72, Resulting Numbers: [72]
72,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 79:[81, 9], Operations: ['69-9=60', '60-51=9']
Exploring Operation: 81/9=9, Resulting Numbers: [9]
9,79 unequal: No Solution
Exploring Operation: 81*9=729, Resulting Numbers: [729]
729,79 unequal: No Solution
Exploring Operation: 81+9=90, Resulting Numbers: [90]
90,79 unequal: No Solution
Exploring Operation: 81-9=72, Resulting Numbers: [72]
72,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 79:[51, 21], Operations: ['69-9=60', '81-60=21']
Exploring Operation: 51*21=1071, Resulting Numbers: [1071]
1071,79 unequal: No Solution
Exploring Operation: 51+21=72, Resulting Numbers: [72]
72,79 unequal: No Solution
Exploring Operation: 51-21=30, Resulting Numbers: [30]
30,79 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: 79:[69, 81, 42], Operations: ['51-9=42']
Exploring Operation: 69-42=27, Resulting Numbers: [81, 27]
Generated Node #0,1,0: 79:[81, 27] Operation: 69-42=27
Exploring Operation: 81-69=12, Resulting Numbers: [42, 12]
Generated Node #0,1,1: 79:[42, 12] Operation: 81-69=12
Exploring Operation: 69+42=111, Resulting Numbers: [81, 111]
Generated Node #0,1,2: 79:[81, 111] Operation: 69+42=111
Exploring Operation: 81+42=123, Resulting Numbers: [69, 123]
Generated Node #0,1,3: 79:[69, 123] Operation: 81+42=123
Exploring Operation: 81-42=39, Resulting Numbers: [69, 39]
Generated Node #0,1,4: 79:[69, 39] Operation: 81-42=39
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 79:[81, 111], Operations: ['51-9=42', '69+42=111']
Exploring Operation: 81*111=8991, Resulting Numbers: [8991]
8991,79 unequal: No Solution
Exploring Operation: 111-81=30, Resulting Numbers: [30]
30,79 unequal: No Solution
Exploring Operation: 81+111=192, Resulting Numbers: [192]
192,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 79:[69, 39], Operations: ['51-9=42', '81-42=39']
Exploring Operation: 69-39=30, Resulting Numbers: [30]
30,79 unequal: No Solution
Exploring Operation: 69+39=108, Resulting Numbers: [108]
108,79 unequal: No Solution
Exploring Operation: 69*39=2691, Resulting Numbers: [2691]
2691,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 79:[81, 27], Operations: ['51-9=42', '69-42=27']
Exploring Operation: 81/27=3, Resulting Numbers: [3]
3,79 unequal: No Solution
Exploring Operation: 81*27=2187, Resulting Numbers: [2187]
2187,79 unequal: No Solution
Exploring Operation: 81+27=108, Resulting Numbers: [108]
108,79 unequal: No Solution
Exploring Operation: 81-27=54, Resulting Numbers: [54]
54,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 79:[69, 123], Operations: ['51-9=42', '81+42=123']
Exploring Operation: 69*123=8487, Resulting Numbers: [8487]
8487,79 unequal: No Solution
Exploring Operation: 123-69=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Exploring Operation: 69+123=192, Resulting Numbers: [192]
192,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 79:[42, 12], Operations: ['51-9=42', '81-69=12']
Exploring Operation: 42-12=30, Resulting Numbers: [30]
30,79 unequal: No Solution
Exploring Operation: 42*12=504, Resulting Numbers: [504]
504,79 unequal: No Solution
Exploring Operation: 42+12=54, Resulting Numbers: [54]
54,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,3
Current State: 79:[72, 120], Operations: ['81-9=72', '51+69=120']
Exploring Operation: 120-72=48, Resulting Numbers: [48]
48,79 unequal: No Solution
Exploring Operation: 72*120=8640, Resulting Numbers: [8640]
8640,79 unequal: No Solution
Exploring Operation: 72+120=192, Resulting Numbers: [192]
192,79 unequal: No Solution
Moving to Node #0,3,0
Current State: 79:[69, 123], Operations: ['81-9=72', '51+72=123']
Exploring Operation: 69*123=8487, Resulting Numbers: [8487]
8487,79 unequal: No Solution
Exploring Operation: 69+123=192, Resulting Numbers: [192]
192,79 unequal: No Solution
Exploring Operation: 123-69=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Moving to Node #0,3,1
Current State: 79:[69, 21], Operations: ['81-9=72', '72-51=21']
Exploring Operation: 69*21=1449, Resulting Numbers: [1449]
1449,79 unequal: No Solution
Exploring Operation: 69-21=48, Resulting Numbers: [48]
48,79 unequal: No Solution
Exploring Operation: 69+21=90, Resulting Numbers: [90]
90,79 unequal: No Solution
Moving to Node #0,3,2
Current State: 79:[72, 18], Operations: ['81-9=72', '69-51=18']
Exploring Operation: 72+18=90, Resulting Numbers: [90]
90,79 unequal: No Solution
Exploring Operation: 72/18=4, Resulting Numbers: [4]
4,79 unequal: No Solution
Exploring Operation: 72-18=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Exploring Operation: 72*18=1296, Resulting Numbers: [1296]
1296,79 unequal: No Solution
Moving to Node #0,3,4
Current State: 79:[51, 141], Operations: ['81-9=72', '69+72=141']
Exploring Operation: 141-51=90, Resulting Numbers: [90]
90,79 unequal: No Solution
Exploring Operation: 51*141=7191, Resulting Numbers: [7191]
7191,79 unequal: No Solution
Exploring Operation: 51+141=192, Resulting Numbers: [192]
192,79 unequal: No Solution
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
8,
5,
30,
78
] | 16
|
[
"8-5=3",
"78-30=48",
"48/3=16"
] |
Current State: 16:[8, 5, 30, 78], Operations: []
Exploring Operation: 8-5=3, Resulting Numbers: [30, 78, 3]
Generated Node #2: [30, 78, 3] from Operation: 8-5=3
Current State: 16:[30, 78, 3], Operations: ['8-5=3']
Exploring Operation: 78-30=48, Resulting Numbers: [3, 48]
Generated Node #3: [3, 48] from Operation: 78-30=48
Current State: 16:[3, 48], Operations: ['8-5=3', '78-30=48']
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4
|
Current State: 16:[8, 5, 30, 78], Operations: []
Exploring Operation: 30/5=6, Resulting Numbers: [8, 78, 6]
Generated Node #0,0: 16:[8, 78, 6] Operation: 30/5=6
Exploring Operation: 78-30=48, Resulting Numbers: [8, 5, 48]
Generated Node #0,1: 16:[8, 5, 48] Operation: 78-30=48
Start Sub Search at level 1: Moving to Node #0,1
Current State: 16:[8, 5, 48], Operations: ['78-30=48']
Exploring Operation: 48/8=6, Resulting Numbers: [5, 6]
Generated Node #0,1,0: 16:[5, 6] Operation: 48/8=6
Exploring Operation: 48-8=40, Resulting Numbers: [5, 40]
Generated Node #0,1,1: 16:[5, 40] Operation: 48-8=40
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 16:[5, 6], Operations: ['78-30=48', '48/8=6']
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,16 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, 40], Operations: ['78-30=48', '48-8=40']
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,16 unequal: No Solution
Exploring Operation: 40/5=8, Resulting Numbers: [8]
8,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[8, 78, 6], Operations: ['30/5=6']
Exploring Operation: 78/6=13, Resulting Numbers: [8, 13]
Generated Node #0,0,0: 16:[8, 13] Operation: 78/6=13
Exploring Operation: 78-8=70, Resulting Numbers: [6, 70]
Generated Node #0,0,1: 16:[6, 70] Operation: 78-8=70
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 16:[8, 13], Operations: ['30/5=6', '78/6=13']
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,16 unequal: No Solution
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,16 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 #0,0,1
Current State: 16:[6, 70], Operations: ['30/5=6', '78-8=70']
Exploring Operation: 6+70=76, Resulting Numbers: [76]
76,16 unequal: No Solution
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,16 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
|
sum_heuristic
|
[
31,
48,
50,
3
] | 95
|
[
"31*3=93",
"50-48=2",
"93+2=95"
] |
Current State: 95:[31, 48, 50, 3], Operations: []
Exploring Operation: 31*3=93, Resulting Numbers: [48, 50, 93]
Generated Node #2: [48, 50, 93] from Operation: 31*3=93
Current State: 95:[48, 50, 93], Operations: ['31*3=93']
Exploring Operation: 50-48=2, Resulting Numbers: [93, 2]
Generated Node #3: [93, 2] from Operation: 50-48=2
Current State: 95:[93, 2], Operations: ['31*3=93', '50-48=2']
Exploring Operation: 93+2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4
|
Current State: 95:[31, 48, 50, 3], Operations: []
Exploring Operation: 48+50=98, Resulting Numbers: [31, 3, 98]
Generated Node #0,0: 95:[31, 3, 98] Operation: 48+50=98
Exploring Operation: 50-31=19, Resulting Numbers: [48, 3, 19]
Generated Node #0,1: 95:[48, 3, 19] Operation: 50-31=19
Exploring Operation: 48-31=17, Resulting Numbers: [50, 3, 17]
Generated Node #0,2: 95:[50, 3, 17] Operation: 48-31=17
Exploring Operation: 50-48=2, Resulting Numbers: [31, 3, 2]
Generated Node #0,3: 95:[31, 3, 2] Operation: 50-48=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[31, 3, 98], Operations: ['48+50=98']
Exploring Operation: 31-3=28, Resulting Numbers: [98, 28]
Generated Node #0,0,0: 95:[98, 28] Operation: 31-3=28
Exploring Operation: 98-3=95, Resulting Numbers: [31, 95]
Generated Node #0,0,1: 95:[31, 95] Operation: 98-3=95
Exploring Operation: 31+3=34, Resulting Numbers: [98, 34]
Generated Node #0,0,2: 95:[98, 34] Operation: 31+3=34
Exploring Operation: 31*3=93, Resulting Numbers: [98, 93]
Generated Node #0,0,3: 95:[98, 93] Operation: 31*3=93
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 95:[98, 93], Operations: ['48+50=98', '31*3=93']
Exploring Operation: 98+93=191, Resulting Numbers: [191]
191,95 unequal: No Solution
Exploring Operation: 98-93=5, Resulting Numbers: [5]
5,95 unequal: No Solution
Exploring Operation: 98*93=9114, Resulting Numbers: [9114]
9114,95 unequal: No Solution
No 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: 95:[98, 28], Operations: ['48+50=98', '31-3=28']
Exploring Operation: 98+28=126, Resulting Numbers: [126]
126,95 unequal: No Solution
Exploring Operation: 98*28=2744, Resulting Numbers: [2744]
2744,95 unequal: No Solution
Exploring Operation: 98-28=70, Resulting Numbers: [70]
70,95 unequal: No Solution
No 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: 95:[31, 95], Operations: ['48+50=98', '98-3=95']
Exploring Operation: 31+95=126, Resulting Numbers: [126]
126,95 unequal: No Solution
Exploring Operation: 31*95=2945, Resulting Numbers: [2945]
2945,95 unequal: No Solution
Exploring Operation: 95-31=64, Resulting Numbers: [64]
64,95 unequal: No Solution
No 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: 95:[98, 34], Operations: ['48+50=98', '31+3=34']
Exploring Operation: 98+34=132, Resulting Numbers: [132]
132,95 unequal: No Solution
Exploring Operation: 98-34=64, Resulting Numbers: [64]
64,95 unequal: No Solution
Exploring Operation: 98*34=3332, Resulting Numbers: [3332]
3332,95 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: 95:[31, 3, 2], Operations: ['50-48=2']
Exploring Operation: 31*3=93, Resulting Numbers: [2, 93]
Generated Node #0,3,0: 95:[2, 93] Operation: 31*3=93
Exploring Operation: 3+2=5, Resulting Numbers: [31, 5]
Generated Node #0,3,1: 95:[31, 5] Operation: 3+2=5
Exploring Operation: 31-3=28, Resulting Numbers: [2, 28]
Generated Node #0,3,2: 95:[2, 28] Operation: 31-3=28
Exploring Operation: 31-2=29, Resulting Numbers: [3, 29]
Generated Node #0,3,3: 95:[3, 29] Operation: 31-2=29
Moving to Node #0,3,0
Current State: 95:[2, 93], Operations: ['50-48=2', '31*3=93']
Exploring Operation: 2*93=186, Resulting Numbers: [186]
186,95 unequal: No Solution
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,95 unequal: No Solution
Exploring Operation: 2+93=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[31, 48, 50, 3], Operations: []
Exploring Operation: 50-48=2, Resulting Numbers: [31, 3, 2]
Generated Node #0,3: 95:[31, 3, 2] Operation: 50-48=2
Moving to Node #0,3
Current State: 95:[31, 3, 2], Operations: ['50-48=2']
Exploring Operation: 31*3=93, Resulting Numbers: [2, 93]
Generated Node #0,3,0: 95:[2, 93] Operation: 31*3=93
Moving to Node #0,3,0
Current State: 95:[2, 93], Operations: ['50-48=2', '31*3=93']
Exploring Operation: 2+93=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.97309
|
hs_4
|
sum_heuristic
|
[
97,
37,
62,
67
] | 31
|
[
"97+37=134",
"62*67=4154",
"4154/134=31"
] |
Current State: 31:[97, 37, 62, 67], Operations: []
Exploring Operation: 97+37=134, Resulting Numbers: [62, 67, 134]
Generated Node #2: [62, 67, 134] from Operation: 97+37=134
Current State: 31:[62, 67, 134], Operations: ['97+37=134']
Exploring Operation: 62*67=4154, Resulting Numbers: [134, 4154]
Generated Node #3: [134, 4154] from Operation: 62*67=4154
Current State: 31:[134, 4154], Operations: ['97+37=134', '62*67=4154']
Exploring Operation: 4154/134=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4
|
Current State: 31:[97, 37, 62, 67], Operations: []
Exploring Operation: 97-67=30, Resulting Numbers: [37, 62, 30]
Generated Node #0,0: 31:[37, 62, 30] Operation: 97-67=30
Exploring Operation: 97-62=35, Resulting Numbers: [37, 67, 35]
Generated Node #0,1: 31:[37, 67, 35] Operation: 97-62=35
Exploring Operation: 97-37=60, Resulting Numbers: [62, 67, 60]
Generated Node #0,2: 31:[62, 67, 60] Operation: 97-37=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[37, 62, 30], Operations: ['97-67=30']
Exploring Operation: 62-30=32, Resulting Numbers: [37, 32]
Generated Node #0,0,0: 31:[37, 32] Operation: 62-30=32
Exploring Operation: 37-30=7, Resulting Numbers: [62, 7]
Generated Node #0,0,1: 31:[62, 7] Operation: 37-30=7
Exploring Operation: 62-37=25, Resulting Numbers: [30, 25]
Generated Node #0,0,2: 31:[30, 25] Operation: 62-37=25
Moving to Node #0,0,0
Current State: 31:[37, 32], Operations: ['97-67=30', '62-30=32']
Exploring Operation: 37-32=5, Resulting Numbers: [5]
5,31 unequal: No Solution
Exploring Operation: 37+32=69, Resulting Numbers: [69]
69,31 unequal: No Solution
Exploring Operation: 37*32=1184, Resulting Numbers: [1184]
1184,31 unequal: No Solution
Moving to Node #0,0,2
Current State: 31:[30, 25], Operations: ['97-67=30', '62-37=25']
Exploring Operation: 30-25=5, Resulting Numbers: [5]
5,31 unequal: No Solution
Exploring Operation: 30*25=750, Resulting Numbers: [750]
750,31 unequal: No Solution
Exploring Operation: 30+25=55, Resulting Numbers: [55]
55,31 unequal: No Solution
Moving to Node #0,0,1
Current State: 31:[62, 7], Operations: ['97-67=30', '37-30=7']
Exploring Operation: 62*7=434, Resulting Numbers: [434]
434,31 unequal: No Solution
Exploring Operation: 62+7=69, Resulting Numbers: [69]
69,31 unequal: No Solution
Exploring Operation: 62-7=55, Resulting Numbers: [55]
55,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 31:[37, 67, 35], Operations: ['97-62=35']
Exploring Operation: 67-35=32, Resulting Numbers: [37, 32]
Generated Node #0,1,0: 31:[37, 32] Operation: 67-35=32
Exploring Operation: 67-37=30, Resulting Numbers: [35, 30]
Generated Node #0,1,1: 31:[35, 30] Operation: 67-37=30
Exploring Operation: 37-35=2, Resulting Numbers: [67, 2]
Generated Node #0,1,2: 31:[67, 2] Operation: 37-35=2
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 31:[35, 30], Operations: ['97-62=35', '67-37=30']
Exploring Operation: 35*30=1050, Resulting Numbers: [1050]
1050,31 unequal: No Solution
Exploring Operation: 35-30=5, Resulting Numbers: [5]
5,31 unequal: No Solution
Exploring Operation: 35+30=65, Resulting Numbers: [65]
65,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 31:[37, 32], Operations: ['97-62=35', '67-35=32']
Exploring Operation: 37+32=69, Resulting Numbers: [69]
69,31 unequal: No Solution
Exploring Operation: 37-32=5, Resulting Numbers: [5]
5,31 unequal: No Solution
Exploring Operation: 37*32=1184, Resulting Numbers: [1184]
1184,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 31:[67, 2], Operations: ['97-62=35', '37-35=2']
Exploring Operation: 67*2=134, Resulting Numbers: [134]
134,31 unequal: No Solution
Exploring Operation: 67+2=69, Resulting Numbers: [69]
69,31 unequal: No Solution
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 31:[62, 67, 60], Operations: ['97-37=60']
Exploring Operation: 67-62=5, Resulting Numbers: [60, 5]
Generated Node #0,2,0: 31:[60, 5] Operation: 67-62=5
Exploring Operation: 67-60=7, Resulting Numbers: [62, 7]
Generated Node #0,2,1: 31:[62, 7] Operation: 67-60=7
Exploring Operation: 62-60=2, Resulting Numbers: [67, 2]
Generated Node #0,2,2: 31:[67, 2] Operation: 62-60=2
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 31:[60, 5], Operations: ['97-37=60', '67-62=5']
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,31 unequal: No Solution
Exploring Operation: 60-5=55, Resulting Numbers: [55]
55,31 unequal: No Solution
Exploring Operation: 60+5=65, Resulting Numbers: [65]
65,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 31:[62, 7], Operations: ['97-37=60', '67-60=7']
Exploring Operation: 62*7=434, Resulting Numbers: [434]
434,31 unequal: No Solution
Exploring Operation: 62-7=55, Resulting Numbers: [55]
55,31 unequal: No Solution
Exploring Operation: 62+7=69, Resulting Numbers: [69]
69,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 31:[67, 2], Operations: ['97-37=60', '62-60=2']
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,31 unequal: No Solution
Exploring Operation: 67+2=69, Resulting Numbers: [69]
69,31 unequal: No Solution
Exploring Operation: 67*2=134, Resulting Numbers: [134]
134,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
sum_heuristic
|
[
29,
87,
8,
3
] | 17
|
[
"87/29=3",
"3*3=9",
"8+9=17"
] |
Current State: 17:[29, 87, 8, 3], Operations: []
Exploring Operation: 87/29=3, Resulting Numbers: [8, 3, 3]
Generated Node #2: [8, 3, 3] from Operation: 87/29=3
Current State: 17:[8, 3, 3], Operations: ['87/29=3']
Exploring Operation: 3*3=9, Resulting Numbers: [8, 9]
Generated Node #3: [8, 9] from Operation: 3*3=9
Current State: 17:[8, 9], Operations: ['87/29=3', '3*3=9']
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4
|
Current State: 17:[29, 87, 8, 3], Operations: []
Exploring Operation: 29-3=26, Resulting Numbers: [87, 8, 26]
Generated Node #0,0: 17:[87, 8, 26] Operation: 29-3=26
Exploring Operation: 87/3=29, Resulting Numbers: [29, 8, 29]
Generated Node #0,1: 17:[29, 8, 29] Operation: 87/3=29
Exploring Operation: 29-8=21, Resulting Numbers: [87, 3, 21]
Generated Node #0,2: 17:[87, 3, 21] Operation: 29-8=21
Exploring Operation: 87/29=3, Resulting Numbers: [8, 3, 3]
Generated Node #0,3: 17:[8, 3, 3] Operation: 87/29=3
Exploring Operation: 87-29=58, Resulting Numbers: [8, 3, 58]
Generated Node #0,4: 17:[8, 3, 58] Operation: 87-29=58
Start Sub Search at level 1: Moving to Node #0,1
Current State: 17:[29, 8, 29], Operations: ['87/3=29']
Exploring Operation: 29-29=0, Resulting Numbers: [8, 0]
Generated Node #0,1,0: 17:[8, 0] Operation: 29-29=0
Exploring Operation: 29-8=21, Resulting Numbers: [29, 21]
Generated Node #0,1,1: 17:[29, 21] Operation: 29-8=21
Exploring Operation: 29+8=37, Resulting Numbers: [29, 37]
Generated Node #0,1,2: 17:[29, 37] Operation: 29+8=37
Exploring Operation: 29/29=1, Resulting Numbers: [8, 1]
Generated Node #0,1,3: 17:[8, 1] Operation: 29/29=1
Exploring Operation: 29-8=21, Resulting Numbers: [29, 21]
Generated Node #0,1,4: 17:[29, 21] Operation: 29-8=21
Moving to Node #0,1,1
Current State: 17:[29, 21], Operations: ['87/3=29', '29-8=21']
Exploring Operation: 29+21=50, Resulting Numbers: [50]
50,17 unequal: No Solution
Exploring Operation: 29-21=8, Resulting Numbers: [8]
8,17 unequal: No Solution
Exploring Operation: 29*21=609, Resulting Numbers: [609]
609,17 unequal: No Solution
Moving to Node #0,1,4
Current State: 17:[29, 21], Operations: ['87/3=29', '29-8=21']
Exploring Operation: 29*21=609, Resulting Numbers: [609]
609,17 unequal: No Solution
Exploring Operation: 29-21=8, Resulting Numbers: [8]
8,17 unequal: No Solution
Exploring Operation: 29+21=50, Resulting Numbers: [50]
50,17 unequal: No Solution
Moving to Node #0,1,3
Current State: 17:[8, 1], Operations: ['87/3=29', '29/29=1']
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,17 unequal: No Solution
Exploring Operation: 8*1=8, Resulting Numbers: [8]
8,17 unequal: No Solution
Exploring Operation: 8+1=9, Resulting Numbers: [9]
9,17 unequal: No Solution
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,17 unequal: No Solution
Moving to Node #0,1,0
Current State: 17:[8, 0], Operations: ['87/3=29', '29-29=0']
Exploring Operation: 8+0=8, Resulting Numbers: [8]
8,17 unequal: No Solution
Exploring Operation: 8*0=0, Resulting Numbers: [0]
0,17 unequal: No Solution
Exploring Operation: 8-0=8, Resulting Numbers: [8]
8,17 unequal: No Solution
Moving to Node #0,1,2
Current State: 17:[29, 37], Operations: ['87/3=29', '29+8=37']
Exploring Operation: 37-29=8, Resulting Numbers: [8]
8,17 unequal: No Solution
Exploring Operation: 29*37=1073, Resulting Numbers: [1073]
1073,17 unequal: No Solution
Exploring Operation: 29+37=66, Resulting Numbers: [66]
66,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 17:[8, 3, 3], Operations: ['87/29=3']
Exploring Operation: 8+3=11, Resulting Numbers: [3, 11]
Generated Node #0,3,0: 17:[3, 11] Operation: 8+3=11
Exploring Operation: 3+3=6, Resulting Numbers: [8, 6]
Generated Node #0,3,1: 17:[8, 6] Operation: 3+3=6
Exploring Operation: 3*3=9, Resulting Numbers: [8, 9]
Generated Node #0,3,2: 17:[8, 9] Operation: 3*3=9
Exploring Operation: 8*3=24, Resulting Numbers: [3, 24]
Generated Node #0,3,3: 17:[3, 24] Operation: 8*3=24
Exploring Operation: 8+3=11, Resulting Numbers: [3, 11]
Generated Node #0,3,4: 17:[3, 11] Operation: 8+3=11
Moving to Node #0,3,2
Current State: 17:[8, 9], Operations: ['87/29=3', '3*3=9']
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[29, 87, 8, 3], Operations: []
Exploring Operation: 87/29=3, Resulting Numbers: [8, 3, 3]
Generated Node #0,3: 17:[8, 3, 3] Operation: 87/29=3
Moving to Node #0,3
Current State: 17:[8, 3, 3], Operations: ['87/29=3']
Exploring Operation: 3*3=9, Resulting Numbers: [8, 9]
Generated Node #0,3,2: 17:[8, 9] Operation: 3*3=9
Moving to Node #0,3,2
Current State: 17:[8, 9], Operations: ['87/29=3', '3*3=9']
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875
|
hs_5
|
mult_heuristic
|
[
88,
15,
33,
51
] | 90
|
[
"15+51=66",
"66/33=2",
"88+2=90"
] |
Current State: 90:[88, 15, 33, 51], Operations: []
Exploring Operation: 15+51=66, Resulting Numbers: [88, 33, 66]
Generated Node #2: [88, 33, 66] from Operation: 15+51=66
Current State: 90:[88, 33, 66], Operations: ['15+51=66']
Exploring Operation: 66/33=2, Resulting Numbers: [88, 2]
Generated Node #3: [88, 2] from Operation: 66/33=2
Current State: 90:[88, 2], Operations: ['15+51=66', '66/33=2']
Exploring Operation: 88+2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4
|
Current State: 90:[88, 15, 33, 51], Operations: []
Exploring Operation: 51-33=18, Resulting Numbers: [88, 15, 18]
Generated Node #0,0: 90:[88, 15, 18] Operation: 51-33=18
Exploring Operation: 33-15=18, Resulting Numbers: [88, 51, 18]
Generated Node #0,1: 90:[88, 51, 18] Operation: 33-15=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[88, 15, 18], Operations: ['51-33=18']
Exploring Operation: 15+18=33, Resulting Numbers: [88, 33]
Generated Node #0,0,0: 90:[88, 33] Operation: 15+18=33
Exploring Operation: 18-15=3, Resulting Numbers: [88, 3]
Generated Node #0,0,1: 90:[88, 3] Operation: 18-15=3
Moving to Node #0,0,1
Current State: 90:[88, 3], Operations: ['51-33=18', '18-15=3']
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,90 unequal: No Solution
Exploring Operation: 88+3=91, Resulting Numbers: [91]
91,90 unequal: No Solution
Moving to Node #0,0,0
Current State: 90:[88, 33], Operations: ['51-33=18', '15+18=33']
Exploring Operation: 88-33=55, Resulting Numbers: [55]
55,90 unequal: No Solution
Exploring Operation: 88+33=121, Resulting Numbers: [121]
121,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[88, 51, 18], Operations: ['33-15=18']
Exploring Operation: 88-51=37, Resulting Numbers: [18, 37]
Generated Node #0,1,0: 90:[18, 37] Operation: 88-51=37
Exploring Operation: 51-18=33, Resulting Numbers: [88, 33]
Generated Node #0,1,1: 90:[88, 33] Operation: 51-18=33
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 90:[88, 33], Operations: ['33-15=18', '51-18=33']
Exploring Operation: 88-33=55, Resulting Numbers: [55]
55,90 unequal: No Solution
Exploring Operation: 88+33=121, Resulting Numbers: [121]
121,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 90:[18, 37], Operations: ['33-15=18', '88-51=37']
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,90 unequal: No Solution
Exploring Operation: 18+37=55, Resulting Numbers: [55]
55,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_2
|
sum_heuristic
|
[
99,
49,
20,
32
] | 62
|
[
"99-49=50",
"32-20=12",
"50+12=62"
] |
Current State: 62:[99, 49, 20, 32], Operations: []
Exploring Operation: 99-49=50, Resulting Numbers: [20, 32, 50]
Generated Node #2: [20, 32, 50] from Operation: 99-49=50
Current State: 62:[20, 32, 50], Operations: ['99-49=50']
Exploring Operation: 32-20=12, Resulting Numbers: [50, 12]
Generated Node #3: [50, 12] from Operation: 32-20=12
Current State: 62:[50, 12], Operations: ['99-49=50', '32-20=12']
Exploring Operation: 50+12=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4
|
Current State: 62:[99, 49, 20, 32], Operations: []
Exploring Operation: 99-49=50, Resulting Numbers: [20, 32, 50]
Generated Node #0,0: 62:[20, 32, 50] Operation: 99-49=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[20, 32, 50], Operations: ['99-49=50']
Exploring Operation: 50-20=30, Resulting Numbers: [32, 30]
Generated Node #0,0,0: 62:[32, 30] Operation: 50-20=30
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 62:[32, 30], Operations: ['99-49=50', '50-20=30']
Exploring Operation: 32+30=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[99, 49, 20, 32], Operations: []
Exploring Operation: 99-49=50, Resulting Numbers: [20, 32, 50]
Generated Node #0,0: 62:[20, 32, 50] Operation: 99-49=50
Moving to Node #0,0
Current State: 62:[20, 32, 50], Operations: ['99-49=50']
Exploring Operation: 50-20=30, Resulting Numbers: [32, 30]
Generated Node #0,0,0: 62:[32, 30] Operation: 50-20=30
Moving to Node #0,0,0
Current State: 62:[32, 30], Operations: ['99-49=50', '50-20=30']
Exploring Operation: 32+30=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
mult_heuristic
|
[
64,
2,
33,
5
] | 46
|
[
"64+33=97",
"97-5=92",
"92/2=46"
] |
Current State: 46:[64, 2, 33, 5], Operations: []
Exploring Operation: 64+33=97, Resulting Numbers: [2, 5, 97]
Generated Node #2: [2, 5, 97] from Operation: 64+33=97
Current State: 46:[2, 5, 97], Operations: ['64+33=97']
Exploring Operation: 97-5=92, Resulting Numbers: [2, 92]
Generated Node #3: [2, 92] from Operation: 97-5=92
Current State: 46:[2, 92], Operations: ['64+33=97', '97-5=92']
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4
|
Current State: 46:[64, 2, 33, 5], Operations: []
Exploring Operation: 33-5=28, Resulting Numbers: [64, 2, 28]
Generated Node #0,0: 46:[64, 2, 28] Operation: 33-5=28
Exploring Operation: 64-5=59, Resulting Numbers: [2, 33, 59]
Generated Node #0,1: 46:[2, 33, 59] Operation: 64-5=59
Exploring Operation: 33+5=38, Resulting Numbers: [64, 2, 38]
Generated Node #0,2: 46:[64, 2, 38] Operation: 33+5=38
Exploring Operation: 64-33=31, Resulting Numbers: [2, 5, 31]
Generated Node #0,3: 46:[2, 5, 31] Operation: 64-33=31
Exploring Operation: 64/2=32, Resulting Numbers: [33, 5, 32]
Generated Node #0,4: 46:[33, 5, 32] Operation: 64/2=32
Moving to Node #0,3
Current State: 46:[2, 5, 31], Operations: ['64-33=31']
Exploring Operation: 2+5=7, Resulting Numbers: [31, 7]
Generated Node #0,3,0: 46:[31, 7] Operation: 2+5=7
Exploring Operation: 31-2=29, Resulting Numbers: [5, 29]
Generated Node #0,3,1: 46:[5, 29] Operation: 31-2=29
Exploring Operation: 31-5=26, Resulting Numbers: [2, 26]
Generated Node #0,3,2: 46:[2, 26] Operation: 31-5=26
Exploring Operation: 5+31=36, Resulting Numbers: [2, 36]
Generated Node #0,3,3: 46:[2, 36] Operation: 5+31=36
Exploring Operation: 5-2=3, Resulting Numbers: [31, 3]
Generated Node #0,3,4: 46:[31, 3] Operation: 5-2=3
Moving to Node #0,4
Current State: 46:[33, 5, 32], Operations: ['64/2=32']
Exploring Operation: 33-5=28, Resulting Numbers: [32, 28]
Generated Node #0,4,0: 46:[32, 28] Operation: 33-5=28
Exploring Operation: 33-32=1, Resulting Numbers: [5, 1]
Generated Node #0,4,1: 46:[5, 1] Operation: 33-32=1
Exploring Operation: 32-5=27, Resulting Numbers: [33, 27]
Generated Node #0,4,2: 46:[33, 27] Operation: 32-5=27
Exploring Operation: 5+32=37, Resulting Numbers: [33, 37]
Generated Node #0,4,3: 46:[33, 37] Operation: 5+32=37
Exploring Operation: 33+5=38, Resulting Numbers: [32, 38]
Generated Node #0,4,4: 46:[32, 38] Operation: 33+5=38
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 46:[5, 1], Operations: ['64/2=32', '33-32=1']
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,46 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,46 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,46 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,46 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 #0,4,0
Current State: 46:[32, 28], Operations: ['64/2=32', '33-5=28']
Exploring Operation: 32*28=896, Resulting Numbers: [896]
896,46 unequal: No Solution
Exploring Operation: 32+28=60, Resulting Numbers: [60]
60,46 unequal: No Solution
Exploring Operation: 32-28=4, Resulting Numbers: [4]
4,46 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 #0,4,2
Current State: 46:[33, 27], Operations: ['64/2=32', '32-5=27']
Exploring Operation: 33*27=891, Resulting Numbers: [891]
891,46 unequal: No Solution
Exploring Operation: 33-27=6, Resulting Numbers: [6]
6,46 unequal: No Solution
Exploring Operation: 33+27=60, Resulting Numbers: [60]
60,46 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 #0,4,4
Current State: 46:[32, 38], Operations: ['64/2=32', '33+5=38']
Exploring Operation: 32+38=70, Resulting Numbers: [70]
70,46 unequal: No Solution
Exploring Operation: 32*38=1216, Resulting Numbers: [1216]
1216,46 unequal: No Solution
Exploring Operation: 38-32=6, Resulting Numbers: [6]
6,46 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 #0,4,3
Current State: 46:[33, 37], Operations: ['64/2=32', '5+32=37']
Exploring Operation: 33*37=1221, Resulting Numbers: [1221]
1221,46 unequal: No Solution
Exploring Operation: 33+37=70, Resulting Numbers: [70]
70,46 unequal: No Solution
Exploring Operation: 37-33=4, Resulting Numbers: [4]
4,46 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: 46:[64, 2, 28], Operations: ['33-5=28']
Exploring Operation: 64-28=36, Resulting Numbers: [2, 36]
Generated Node #0,0,0: 46:[2, 36] Operation: 64-28=36
Exploring Operation: 64-2=62, Resulting Numbers: [28, 62]
Generated Node #0,0,1: 46:[28, 62] Operation: 64-2=62
Exploring Operation: 64+2=66, Resulting Numbers: [28, 66]
Generated Node #0,0,2: 46:[28, 66] Operation: 64+2=66
Exploring Operation: 64/2=32, Resulting Numbers: [28, 32]
Generated Node #0,0,3: 46:[28, 32] Operation: 64/2=32
Exploring Operation: 28-2=26, Resulting Numbers: [64, 26]
Generated Node #0,0,4: 46:[64, 26] Operation: 28-2=26
Moving to Node #0,1
Current State: 46:[2, 33, 59], Operations: ['64-5=59']
Exploring Operation: 2+59=61, Resulting Numbers: [33, 61]
Generated Node #0,1,0: 46:[33, 61] Operation: 2+59=61
Exploring Operation: 33-2=31, Resulting Numbers: [59, 31]
Generated Node #0,1,1: 46:[59, 31] Operation: 33-2=31
Exploring Operation: 59-2=57, Resulting Numbers: [33, 57]
Generated Node #0,1,2: 46:[33, 57] Operation: 59-2=57
Exploring Operation: 2+33=35, Resulting Numbers: [59, 35]
Generated Node #0,1,3: 46:[59, 35] Operation: 2+33=35
Exploring Operation: 59-33=26, Resulting Numbers: [2, 26]
Generated Node #0,1,4: 46:[2, 26] Operation: 59-33=26
Moving to Node #0,2
Current State: 46:[64, 2, 38], Operations: ['33+5=38']
Exploring Operation: 64/2=32, Resulting Numbers: [38, 32]
Generated Node #0,2,0: 46:[38, 32] Operation: 64/2=32
Exploring Operation: 64-38=26, Resulting Numbers: [2, 26]
Generated Node #0,2,1: 46:[2, 26] Operation: 64-38=26
Exploring Operation: 38/2=19, Resulting Numbers: [64, 19]
Generated Node #0,2,2: 46:[64, 19] Operation: 38/2=19
Exploring Operation: 2+38=40, Resulting Numbers: [64, 40]
Generated Node #0,2,3: 46:[64, 40] Operation: 2+38=40
Exploring Operation: 64-2=62, Resulting Numbers: [38, 62]
Generated Node #0,2,4: 46:[38, 62] Operation: 64-2=62
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 46:[2, 26], Operations: ['33+5=38', '64-38=26']
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,46 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,46 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,46 unequal: No Solution
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 46:[38, 32], Operations: ['33+5=38', '64/2=32']
Exploring Operation: 38-32=6, Resulting Numbers: [6]
6,46 unequal: No Solution
Exploring Operation: 38+32=70, Resulting Numbers: [70]
70,46 unequal: No Solution
Exploring Operation: 38*32=1216, Resulting Numbers: [1216]
1216,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 46:[64, 19], Operations: ['33+5=38', '38/2=19']
Exploring Operation: 64+19=83, Resulting Numbers: [83]
83,46 unequal: No Solution
Exploring Operation: 64-19=45, Resulting Numbers: [45]
45,46 unequal: No Solution
Exploring Operation: 64*19=1216, Resulting Numbers: [1216]
1216,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 46:[64, 40], Operations: ['33+5=38', '2+38=40']
Exploring Operation: 64-40=24, Resulting Numbers: [24]
24,46 unequal: No Solution
Exploring Operation: 64+40=104, Resulting Numbers: [104]
104,46 unequal: No Solution
Exploring Operation: 64*40=2560, Resulting Numbers: [2560]
2560,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 46:[38, 62], Operations: ['33+5=38', '64-2=62']
Exploring Operation: 38*62=2356, Resulting Numbers: [2356]
2356,46 unequal: No Solution
Exploring Operation: 62-38=24, Resulting Numbers: [24]
24,46 unequal: No Solution
Exploring Operation: 38+62=100, Resulting Numbers: [100]
100,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,2
Current State: 46:[2, 26], Operations: ['64-33=31', '31-5=26']
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,46 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,46 unequal: No Solution
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,46 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,46 unequal: No Solution
Moving to Node #0,1,4
Current State: 46:[2, 26], Operations: ['64-5=59', '59-33=26']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,46 unequal: No Solution
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,46 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,46 unequal: No Solution
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,46 unequal: No Solution
Moving to Node #0,3,4
Current State: 46:[31, 3], Operations: ['64-33=31', '5-2=3']
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,46 unequal: No Solution
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,46 unequal: No Solution
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,46 unequal: No Solution
Moving to Node #0,3,1
Current State: 46:[5, 29], Operations: ['64-33=31', '31-2=29']
Exploring Operation: 5*29=145, Resulting Numbers: [145]
145,46 unequal: No Solution
Exploring Operation: 29-5=24, Resulting Numbers: [24]
24,46 unequal: No Solution
Exploring Operation: 5+29=34, Resulting Numbers: [34]
34,46 unequal: No Solution
Moving to Node #0,0,0
Current State: 46:[2, 36], Operations: ['33-5=28', '64-28=36']
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,46 unequal: No Solution
Exploring Operation: 2*36=72, Resulting Numbers: [72]
72,46 unequal: No Solution
Exploring Operation: 2+36=38, Resulting Numbers: [38]
38,46 unequal: No Solution
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,46 unequal: No Solution
Moving to Node #0,3,3
Current State: 46:[2, 36], Operations: ['64-33=31', '5+31=36']
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,46 unequal: No Solution
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,46 unequal: No Solution
Exploring Operation: 2*36=72, Resulting Numbers: [72]
72,46 unequal: No Solution
Exploring Operation: 2+36=38, Resulting Numbers: [38]
38,46 unequal: No Solution
Moving to Node #0,3,0
Current State: 46:[31, 7], Operations: ['64-33=31', '2+5=7']
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,46 unequal: No Solution
Exploring Operation: 31*7=217, Resulting Numbers: [217]
217,46 unequal: No Solution
Exploring Operation: 31+7=38, Resulting Numbers: [38]
38,46 unequal: No Solution
Moving to Node #0,0,3
Current State: 46:[28, 32], Operations: ['33-5=28', '64/2=32']
Exploring Operation: 32-28=4, Resulting Numbers: [4]
4,46 unequal: No Solution
Exploring Operation: 28*32=896, Resulting Numbers: [896]
896,46 unequal: No Solution
Exploring Operation: 28+32=60, Resulting Numbers: [60]
60,46 unequal: No Solution
Moving to Node #0,1,1
Current State: 46:[59, 31], Operations: ['64-5=59', '33-2=31']
Exploring Operation: 59*31=1829, Resulting Numbers: [1829]
1829,46 unequal: No Solution
Exploring Operation: 59-31=28, Resulting Numbers: [28]
28,46 unequal: No Solution
Exploring Operation: 59+31=90, Resulting Numbers: [90]
90,46 unequal: No Solution
Moving to Node #0,1,2
Current State: 46:[33, 57], Operations: ['64-5=59', '59-2=57']
Exploring Operation: 57-33=24, Resulting Numbers: [24]
24,46 unequal: No Solution
Exploring Operation: 33*57=1881, Resulting Numbers: [1881]
1881,46 unequal: No Solution
Exploring Operation: 33+57=90, Resulting Numbers: [90]
90,46 unequal: No Solution
Moving to Node #0,0,4
Current State: 46:[64, 26], Operations: ['33-5=28', '28-2=26']
Exploring Operation: 64-26=38, Resulting Numbers: [38]
38,46 unequal: No Solution
Exploring Operation: 64+26=90, Resulting Numbers: [90]
90,46 unequal: No Solution
Exploring Operation: 64*26=1664, Resulting Numbers: [1664]
1664,46 unequal: No Solution
Moving to Node #0,0,1
Current State: 46:[28, 62], Operations: ['33-5=28', '64-2=62']
Exploring Operation: 28*62=1736, Resulting Numbers: [1736]
1736,46 unequal: No Solution
Exploring Operation: 62-28=34, Resulting Numbers: [34]
34,46 unequal: No Solution
Exploring Operation: 28+62=90, Resulting Numbers: [90]
90,46 unequal: No Solution
Moving to Node #0,1,3
Current State: 46:[59, 35], Operations: ['64-5=59', '2+33=35']
Exploring Operation: 59+35=94, Resulting Numbers: [94]
94,46 unequal: No Solution
Exploring Operation: 59-35=24, Resulting Numbers: [24]
24,46 unequal: No Solution
Exploring Operation: 59*35=2065, Resulting Numbers: [2065]
2065,46 unequal: No Solution
Moving to Node #0,1,0
Current State: 46:[33, 61], Operations: ['64-5=59', '2+59=61']
Exploring Operation: 61-33=28, Resulting Numbers: [28]
28,46 unequal: No Solution
Exploring Operation: 33*61=2013, Resulting Numbers: [2013]
2013,46 unequal: No Solution
Exploring Operation: 33+61=94, Resulting Numbers: [94]
94,46 unequal: No Solution
Moving to Node #0,0,2
Current State: 46:[28, 66], Operations: ['33-5=28', '64+2=66']
Exploring Operation: 66-28=38, Resulting Numbers: [38]
38,46 unequal: No Solution
Exploring Operation: 28+66=94, Resulting Numbers: [94]
94,46 unequal: No Solution
Exploring Operation: 28*66=1848, Resulting Numbers: [1848]
1848,46 unequal: No Solution
No solution found.
| 0
|
hs_5
|
sum_heuristic
|
[
42,
7,
14,
74
] | 76
|
[
"7+14=21",
"42/21=2",
"74+2=76"
] |
Current State: 76:[42, 7, 14, 74], Operations: []
Exploring Operation: 7+14=21, Resulting Numbers: [42, 74, 21]
Generated Node #2: [42, 74, 21] from Operation: 7+14=21
Current State: 76:[42, 74, 21], Operations: ['7+14=21']
Exploring Operation: 42/21=2, Resulting Numbers: [74, 2]
Generated Node #3: [74, 2] from Operation: 42/21=2
Current State: 76:[74, 2], Operations: ['7+14=21', '42/21=2']
Exploring Operation: 74+2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4
|
Current State: 76:[42, 7, 14, 74], Operations: []
Exploring Operation: 42/14=3, Resulting Numbers: [7, 74, 3]
Generated Node #0,0: 76:[7, 74, 3] Operation: 42/14=3
Moving to Node #0,0
Current State: 76:[7, 74, 3], Operations: ['42/14=3']
Exploring Operation: 7-3=4, Resulting Numbers: [74, 4]
Generated Node #0,0,0: 76:[74, 4] Operation: 7-3=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 76:[74, 4], Operations: ['42/14=3', '7-3=4']
Exploring Operation: 74+4=78, Resulting Numbers: [78]
78,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
96,
90,
74,
90
] | 59
|
[
"96-90=6",
"90/6=15",
"74-15=59"
] |
Current State: 59:[96, 90, 74, 90], Operations: []
Exploring Operation: 96-90=6, Resulting Numbers: [74, 6]
Generated Node #2: [74, 6] from Operation: 96-90=6
Current State: 59:[74, 6], Operations: ['96-90=6']
Exploring Operation: 90/6=15, Resulting Numbers: [74, 15]
Generated Node #3: [74, 15] from Operation: 90/6=15
Current State: 59:[74, 15], Operations: ['96-90=6', '90/6=15']
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4
|
Current State: 59:[96, 90, 74, 90], Operations: []
Exploring Operation: 90/90=1, Resulting Numbers: [96, 74, 1]
Generated Node #0,0: 59:[96, 74, 1] Operation: 90/90=1
Exploring Operation: 96-90=6, Resulting Numbers: [90, 74, 6]
Generated Node #0,1: 59:[90, 74, 6] Operation: 96-90=6
Exploring Operation: 96-90=6, Resulting Numbers: [74, 90, 6]
Generated Node #0,2: 59:[74, 90, 6] Operation: 96-90=6
Exploring Operation: 96-74=22, Resulting Numbers: [90, 90, 22]
Generated Node #0,3: 59:[90, 90, 22] Operation: 96-74=22
Moving to Node #0,1
Current State: 59:[90, 74, 6], Operations: ['96-90=6']
Exploring Operation: 74+6=80, Resulting Numbers: [90, 80]
Generated Node #0,1,0: 59:[90, 80] Operation: 74+6=80
Exploring Operation: 90-6=84, Resulting Numbers: [74, 84]
Generated Node #0,1,1: 59:[74, 84] Operation: 90-6=84
Exploring Operation: 90+6=96, Resulting Numbers: [74, 96]
Generated Node #0,1,2: 59:[74, 96] Operation: 90+6=96
Exploring Operation: 74-6=68, Resulting Numbers: [90, 68]
Generated Node #0,1,3: 59:[90, 68] Operation: 74-6=68
Moving to Node #0,3
Current State: 59:[90, 90, 22], Operations: ['96-74=22']
Exploring Operation: 90-22=68, Resulting Numbers: [90, 68]
Generated Node #0,3,0: 59:[90, 68] Operation: 90-22=68
Exploring Operation: 90-22=68, Resulting Numbers: [90, 68]
Generated Node #0,3,1: 59:[90, 68] Operation: 90-22=68
Exploring Operation: 90+22=112, Resulting Numbers: [90, 112]
Generated Node #0,3,2: 59:[90, 112] Operation: 90+22=112
Exploring Operation: 90+22=112, Resulting Numbers: [90, 112]
Generated Node #0,3,3: 59:[90, 112] Operation: 90+22=112
Moving to Node #0,2
Current State: 59:[74, 90, 6], Operations: ['96-90=6']
Exploring Operation: 90+6=96, Resulting Numbers: [74, 96]
Generated Node #0,2,0: 59:[74, 96] Operation: 90+6=96
Exploring Operation: 90-6=84, Resulting Numbers: [74, 84]
Generated Node #0,2,1: 59:[74, 84] Operation: 90-6=84
Exploring Operation: 74+6=80, Resulting Numbers: [90, 80]
Generated Node #0,2,2: 59:[90, 80] Operation: 74+6=80
Exploring Operation: 74-6=68, Resulting Numbers: [90, 68]
Generated Node #0,2,3: 59:[90, 68] Operation: 74-6=68
Moving to Node #0,0
Current State: 59:[96, 74, 1], Operations: ['90/90=1']
Exploring Operation: 96*1=96, Resulting Numbers: [74, 96]
Generated Node #0,0,0: 59:[74, 96] Operation: 96*1=96
Exploring Operation: 96-1=95, Resulting Numbers: [74, 95]
Generated Node #0,0,1: 59:[74, 95] Operation: 96-1=95
Exploring Operation: 96/1=96, Resulting Numbers: [74, 96]
Generated Node #0,0,2: 59:[74, 96] Operation: 96/1=96
Exploring Operation: 74-1=73, Resulting Numbers: [96, 73]
Generated Node #0,0,3: 59:[96, 73] Operation: 74-1=73
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 59:[74, 95], Operations: ['90/90=1', '96-1=95']
Exploring Operation: 74+95=169, Resulting Numbers: [169]
169,59 unequal: No Solution
Exploring Operation: 95-74=21, Resulting Numbers: [21]
21,59 unequal: No Solution
Exploring Operation: 74*95=7030, Resulting Numbers: [7030]
7030,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 59:[96, 73], Operations: ['90/90=1', '74-1=73']
Exploring Operation: 96-73=23, Resulting Numbers: [23]
23,59 unequal: No Solution
Exploring Operation: 96*73=7008, Resulting Numbers: [7008]
7008,59 unequal: No Solution
Exploring Operation: 96+73=169, Resulting Numbers: [169]
169,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 59:[74, 96], Operations: ['90/90=1', '96*1=96']
Exploring Operation: 96-74=22, Resulting Numbers: [22]
22,59 unequal: No Solution
Exploring Operation: 74*96=7104, Resulting Numbers: [7104]
7104,59 unequal: No Solution
Exploring Operation: 74+96=170, Resulting Numbers: [170]
170,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 59:[74, 96], Operations: ['90/90=1', '96/1=96']
Exploring Operation: 74+96=170, Resulting Numbers: [170]
170,59 unequal: No Solution
Exploring Operation: 74*96=7104, Resulting Numbers: [7104]
7104,59 unequal: No Solution
Exploring Operation: 96-74=22, Resulting Numbers: [22]
22,59 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: 59:[74, 84], Operations: ['96-90=6', '90-6=84']
Exploring Operation: 84-74=10, Resulting Numbers: [10]
10,59 unequal: No Solution
Exploring Operation: 74*84=6216, Resulting Numbers: [6216]
6216,59 unequal: No Solution
Exploring Operation: 74+84=158, Resulting Numbers: [158]
158,59 unequal: No Solution
Moving to Node #0,3,1
Current State: 59:[90, 68], Operations: ['96-74=22', '90-22=68']
Exploring Operation: 90-68=22, Resulting Numbers: [22]
22,59 unequal: No Solution
Exploring Operation: 90+68=158, Resulting Numbers: [158]
158,59 unequal: No Solution
Exploring Operation: 90*68=6120, Resulting Numbers: [6120]
6120,59 unequal: No Solution
Moving to Node #0,1,3
Current State: 59:[90, 68], Operations: ['96-90=6', '74-6=68']
Exploring Operation: 90*68=6120, Resulting Numbers: [6120]
6120,59 unequal: No Solution
Exploring Operation: 90-68=22, Resulting Numbers: [22]
22,59 unequal: No Solution
Exploring Operation: 90+68=158, Resulting Numbers: [158]
158,59 unequal: No Solution
Moving to Node #0,3,0
Current State: 59:[90, 68], Operations: ['96-74=22', '90-22=68']
Exploring Operation: 90+68=158, Resulting Numbers: [158]
158,59 unequal: No Solution
Exploring Operation: 90-68=22, Resulting Numbers: [22]
22,59 unequal: No Solution
Exploring Operation: 90*68=6120, Resulting Numbers: [6120]
6120,59 unequal: No Solution
Moving to Node #0,2,3
Current State: 59:[90, 68], Operations: ['96-90=6', '74-6=68']
Exploring Operation: 90+68=158, Resulting Numbers: [158]
158,59 unequal: No Solution
Exploring Operation: 90-68=22, Resulting Numbers: [22]
22,59 unequal: No Solution
Exploring Operation: 90*68=6120, Resulting Numbers: [6120]
6120,59 unequal: No Solution
Moving to Node #0,2,1
Current State: 59:[74, 84], Operations: ['96-90=6', '90-6=84']
Exploring Operation: 74*84=6216, Resulting Numbers: [6216]
6216,59 unequal: No Solution
Exploring Operation: 74+84=158, Resulting Numbers: [158]
158,59 unequal: No Solution
Exploring Operation: 84-74=10, Resulting Numbers: [10]
10,59 unequal: No Solution
Moving to Node #0,1,0
Current State: 59:[90, 80], Operations: ['96-90=6', '74+6=80']
Exploring Operation: 90-80=10, Resulting Numbers: [10]
10,59 unequal: No Solution
Exploring Operation: 90*80=7200, Resulting Numbers: [7200]
7200,59 unequal: No Solution
Exploring Operation: 90+80=170, Resulting Numbers: [170]
170,59 unequal: No Solution
Moving to Node #0,2,2
Current State: 59:[90, 80], Operations: ['96-90=6', '74+6=80']
Exploring Operation: 90+80=170, Resulting Numbers: [170]
170,59 unequal: No Solution
Exploring Operation: 90*80=7200, Resulting Numbers: [7200]
7200,59 unequal: No Solution
Exploring Operation: 90-80=10, Resulting Numbers: [10]
10,59 unequal: No Solution
Moving to Node #0,2,0
Current State: 59:[74, 96], Operations: ['96-90=6', '90+6=96']
Exploring Operation: 74+96=170, Resulting Numbers: [170]
170,59 unequal: No Solution
Exploring Operation: 74*96=7104, Resulting Numbers: [7104]
7104,59 unequal: No Solution
Exploring Operation: 96-74=22, Resulting Numbers: [22]
22,59 unequal: No Solution
Moving to Node #0,1,2
Current State: 59:[74, 96], Operations: ['96-90=6', '90+6=96']
Exploring Operation: 74+96=170, Resulting Numbers: [170]
170,59 unequal: No Solution
Exploring Operation: 96-74=22, Resulting Numbers: [22]
22,59 unequal: No Solution
Exploring Operation: 74*96=7104, Resulting Numbers: [7104]
7104,59 unequal: No Solution
Moving to Node #0,3,3
Current State: 59:[90, 112], Operations: ['96-74=22', '90+22=112']
Exploring Operation: 90*112=10080, Resulting Numbers: [10080]
10080,59 unequal: No Solution
Exploring Operation: 90+112=202, Resulting Numbers: [202]
202,59 unequal: No Solution
Exploring Operation: 112-90=22, Resulting Numbers: [22]
22,59 unequal: No Solution
Moving to Node #0,3,2
Current State: 59:[90, 112], Operations: ['96-74=22', '90+22=112']
Exploring Operation: 90*112=10080, Resulting Numbers: [10080]
10080,59 unequal: No Solution
Exploring Operation: 90+112=202, Resulting Numbers: [202]
202,59 unequal: No Solution
Exploring Operation: 112-90=22, Resulting Numbers: [22]
22,59 unequal: No Solution
No solution found.
| 0
|
hs_4
|
sum_heuristic
|
[
71,
20,
22,
73
] | 84
|
[
"73-71=2",
"20+22=42",
"2*42=84"
] |
Current State: 84:[71, 20, 22, 73], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [20, 22, 2]
Generated Node #2: [20, 22, 2] from Operation: 73-71=2
Current State: 84:[20, 22, 2], Operations: ['73-71=2']
Exploring Operation: 20+22=42, Resulting Numbers: [2, 42]
Generated Node #3: [2, 42] from Operation: 20+22=42
Current State: 84:[2, 42], Operations: ['73-71=2', '20+22=42']
Exploring Operation: 2*42=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4
|
Current State: 84:[71, 20, 22, 73], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [20, 22, 2]
Generated Node #0,0: 84:[20, 22, 2] Operation: 73-71=2
Exploring Operation: 71+20=91, Resulting Numbers: [22, 73, 91]
Generated Node #0,1: 84:[22, 73, 91] Operation: 71+20=91
Moving to Node #0,0
Current State: 84:[20, 22, 2], Operations: ['73-71=2']
Exploring Operation: 22-20=2, Resulting Numbers: [2, 2]
Generated Node #0,0,0: 84:[2, 2] Operation: 22-20=2
Exploring Operation: 20+22=42, Resulting Numbers: [2, 42]
Generated Node #0,0,1: 84:[2, 42] Operation: 20+22=42
Moving to Node #0,1
Current State: 84:[22, 73, 91], Operations: ['71+20=91']
Exploring Operation: 73-22=51, Resulting Numbers: [91, 51]
Generated Node #0,1,0: 84:[91, 51] Operation: 73-22=51
Exploring Operation: 91-73=18, Resulting Numbers: [22, 18]
Generated Node #0,1,1: 84:[22, 18] Operation: 91-73=18
Moving to Node #0,0,0
Current State: 84:[2, 2], Operations: ['73-71=2', '22-20=2']
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,84 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,84 unequal: No Solution
Moving to Node #0,0,1
Current State: 84:[2, 42], Operations: ['73-71=2', '20+22=42']
Exploring Operation: 2*42=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[71, 20, 22, 73], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [20, 22, 2]
Generated Node #0,0: 84:[20, 22, 2] Operation: 73-71=2
Moving to Node #0,0
Current State: 84:[20, 22, 2], Operations: ['73-71=2']
Exploring Operation: 20+22=42, Resulting Numbers: [2, 42]
Generated Node #0,0,1: 84:[2, 42] Operation: 20+22=42
Moving to Node #0,0,1
Current State: 84:[2, 42], Operations: ['73-71=2', '20+22=42']
Exploring Operation: 2*42=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 0.988715
|
hs_2
|
mult_heuristic
|
[
78,
39,
46,
64
] | 20
|
[
"78/39=2",
"64-46=18",
"2+18=20"
] |
Current State: 20:[78, 39, 46, 64], Operations: []
Exploring Operation: 78/39=2, Resulting Numbers: [46, 64, 2]
Generated Node #2: [46, 64, 2] from Operation: 78/39=2
Current State: 20:[46, 64, 2], Operations: ['78/39=2']
Exploring Operation: 64-46=18, Resulting Numbers: [2, 18]
Generated Node #3: [2, 18] from Operation: 64-46=18
Current State: 20:[2, 18], Operations: ['78/39=2', '64-46=18']
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4
|
Current State: 20:[78, 39, 46, 64], Operations: []
Exploring Operation: 78/39=2, Resulting Numbers: [46, 64, 2]
Generated Node #0,0: 20:[46, 64, 2] Operation: 78/39=2
Exploring Operation: 78-46=32, Resulting Numbers: [39, 64, 32]
Generated Node #0,1: 20:[39, 64, 32] Operation: 78-46=32
Exploring Operation: 64-46=18, Resulting Numbers: [78, 39, 18]
Generated Node #0,2: 20:[78, 39, 18] Operation: 64-46=18
Exploring Operation: 78-64=14, Resulting Numbers: [39, 46, 14]
Generated Node #0,3: 20:[39, 46, 14] Operation: 78-64=14
Moving to Node #0,3
Current State: 20:[39, 46, 14], Operations: ['78-64=14']
Exploring Operation: 46-14=32, Resulting Numbers: [39, 32]
Generated Node #0,3,0: 20:[39, 32] Operation: 46-14=32
Exploring Operation: 39+14=53, Resulting Numbers: [46, 53]
Generated Node #0,3,1: 20:[46, 53] Operation: 39+14=53
Exploring Operation: 46-39=7, Resulting Numbers: [14, 7]
Generated Node #0,3,2: 20:[14, 7] Operation: 46-39=7
Exploring Operation: 39-14=25, Resulting Numbers: [46, 25]
Generated Node #0,3,3: 20:[46, 25] Operation: 39-14=25
Moving to Node #0,0
Current State: 20:[46, 64, 2], Operations: ['78/39=2']
Exploring Operation: 64/2=32, Resulting Numbers: [46, 32]
Generated Node #0,0,0: 20:[46, 32] Operation: 64/2=32
Exploring Operation: 64-46=18, Resulting Numbers: [2, 18]
Generated Node #0,0,1: 20:[2, 18] Operation: 64-46=18
Exploring Operation: 46-2=44, Resulting Numbers: [64, 44]
Generated Node #0,0,2: 20:[64, 44] Operation: 46-2=44
Exploring Operation: 46/2=23, Resulting Numbers: [64, 23]
Generated Node #0,0,3: 20:[64, 23] Operation: 46/2=23
Moving to Node #0,1
Current State: 20:[39, 64, 32], Operations: ['78-46=32']
Exploring Operation: 39-32=7, Resulting Numbers: [64, 7]
Generated Node #0,1,0: 20:[64, 7] Operation: 39-32=7
Exploring Operation: 64-39=25, Resulting Numbers: [32, 25]
Generated Node #0,1,1: 20:[32, 25] Operation: 64-39=25
Exploring Operation: 64/32=2, Resulting Numbers: [39, 2]
Generated Node #0,1,2: 20:[39, 2] Operation: 64/32=2
Exploring Operation: 64-32=32, Resulting Numbers: [39, 32]
Generated Node #0,1,3: 20:[39, 32] Operation: 64-32=32
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 20:[32, 25], Operations: ['78-46=32', '64-39=25']
Exploring Operation: 32-25=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Exploring Operation: 32+25=57, Resulting Numbers: [57]
57,20 unequal: No Solution
Exploring Operation: 32*25=800, Resulting Numbers: [800]
800,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 20:[39, 2], Operations: ['78-46=32', '64/32=2']
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,20 unequal: No Solution
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,20 unequal: No Solution
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 20:[39, 32], Operations: ['78-46=32', '64-32=32']
Exploring Operation: 39+32=71, Resulting Numbers: [71]
71,20 unequal: No Solution
Exploring Operation: 39-32=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Exploring Operation: 39*32=1248, Resulting Numbers: [1248]
1248,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 20:[64, 7], Operations: ['78-46=32', '39-32=7']
Exploring Operation: 64-7=57, Resulting Numbers: [57]
57,20 unequal: No Solution
Exploring Operation: 64+7=71, Resulting Numbers: [71]
71,20 unequal: No Solution
Exploring Operation: 64*7=448, Resulting Numbers: [448]
448,20 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: 20:[78, 39, 18], Operations: ['64-46=18']
Exploring Operation: 78-18=60, Resulting Numbers: [39, 60]
Generated Node #0,2,0: 20:[39, 60] Operation: 78-18=60
Exploring Operation: 78/39=2, Resulting Numbers: [18, 2]
Generated Node #0,2,1: 20:[18, 2] Operation: 78/39=2
Exploring Operation: 78-39=39, Resulting Numbers: [18, 39]
Generated Node #0,2,2: 20:[18, 39] Operation: 78-39=39
Exploring Operation: 39-18=21, Resulting Numbers: [78, 21]
Generated Node #0,2,3: 20:[78, 21] Operation: 39-18=21
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 20:[18, 2], Operations: ['64-46=18', '78/39=2']
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,20 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,20 unequal: No Solution
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[78, 39, 46, 64], Operations: []
Exploring Operation: 64-46=18, Resulting Numbers: [78, 39, 18]
Generated Node #0,2: 20:[78, 39, 18] Operation: 64-46=18
Moving to Node #0,2
Current State: 20:[78, 39, 18], Operations: ['64-46=18']
Exploring Operation: 78/39=2, Resulting Numbers: [18, 2]
Generated Node #0,2,1: 20:[18, 2] Operation: 78/39=2
Moving to Node #0,2,1
Current State: 20:[18, 2], Operations: ['64-46=18', '78/39=2']
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.966146
|
hs_4
|
mult_heuristic
|
[
29,
24,
47,
70
] | 31
|
[
"24+70=94",
"94/47=2",
"29+2=31"
] |
Current State: 31:[29, 24, 47, 70], Operations: []
Exploring Operation: 24+70=94, Resulting Numbers: [29, 47, 94]
Generated Node #2: [29, 47, 94] from Operation: 24+70=94
Current State: 31:[29, 47, 94], Operations: ['24+70=94']
Exploring Operation: 94/47=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 94/47=2
Current State: 31:[29, 2], Operations: ['24+70=94', '94/47=2']
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4
|
Current State: 31:[29, 24, 47, 70], Operations: []
Exploring Operation: 70-29=41, Resulting Numbers: [24, 47, 41]
Generated Node #0,0: 31:[24, 47, 41] Operation: 70-29=41
Exploring Operation: 47-24=23, Resulting Numbers: [29, 70, 23]
Generated Node #0,1: 31:[29, 70, 23] Operation: 47-24=23
Exploring Operation: 70-47=23, Resulting Numbers: [29, 24, 23]
Generated Node #0,2: 31:[29, 24, 23] Operation: 70-47=23
Exploring Operation: 70-24=46, Resulting Numbers: [29, 47, 46]
Generated Node #0,3: 31:[29, 47, 46] Operation: 70-24=46
Exploring Operation: 47-29=18, Resulting Numbers: [24, 70, 18]
Generated Node #0,4: 31:[24, 70, 18] Operation: 47-29=18
Moving to Node #0,2
Current State: 31:[29, 24, 23], Operations: ['70-47=23']
Exploring Operation: 29+24=53, Resulting Numbers: [23, 53]
Generated Node #0,2,0: 31:[23, 53] Operation: 29+24=53
Exploring Operation: 29-23=6, Resulting Numbers: [24, 6]
Generated Node #0,2,1: 31:[24, 6] Operation: 29-23=6
Exploring Operation: 24-23=1, Resulting Numbers: [29, 1]
Generated Node #0,2,2: 31:[29, 1] Operation: 24-23=1
Exploring Operation: 24+23=47, Resulting Numbers: [29, 47]
Generated Node #0,2,3: 31:[29, 47] Operation: 24+23=47
Exploring Operation: 29+23=52, Resulting Numbers: [24, 52]
Generated Node #0,2,4: 31:[24, 52] Operation: 29+23=52
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 31:[29, 47], Operations: ['70-47=23', '24+23=47']
Exploring Operation: 29*47=1363, Resulting Numbers: [1363]
1363,31 unequal: No Solution
Exploring Operation: 29+47=76, Resulting Numbers: [76]
76,31 unequal: No Solution
Exploring Operation: 47-29=18, Resulting Numbers: [18]
18,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 31:[24, 52], Operations: ['70-47=23', '29+23=52']
Exploring Operation: 24*52=1248, Resulting Numbers: [1248]
1248,31 unequal: No Solution
Exploring Operation: 24+52=76, Resulting Numbers: [76]
76,31 unequal: No Solution
Exploring Operation: 52-24=28, Resulting Numbers: [28]
28,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 31:[23, 53], Operations: ['70-47=23', '29+24=53']
Exploring Operation: 53-23=30, Resulting Numbers: [30]
30,31 unequal: No Solution
Exploring Operation: 23*53=1219, Resulting Numbers: [1219]
1219,31 unequal: No Solution
Exploring Operation: 23+53=76, Resulting Numbers: [76]
76,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 31:[24, 6], Operations: ['70-47=23', '29-23=6']
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 24+6=30, Resulting Numbers: [30]
30,31 unequal: No Solution
Exploring Operation: 24*6=144, Resulting Numbers: [144]
144,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 31:[29, 1], Operations: ['70-47=23', '24-23=1']
Exploring Operation: 29+1=30, Resulting Numbers: [30]
30,31 unequal: No Solution
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,31 unequal: No Solution
Exploring Operation: 29*1=29, Resulting Numbers: [29]
29,31 unequal: No Solution
Exploring Operation: 29/1=29, Resulting Numbers: [29]
29,31 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: 31:[29, 47, 46], Operations: ['70-24=46']
Exploring Operation: 47-29=18, Resulting Numbers: [46, 18]
Generated Node #0,3,0: 31:[46, 18] Operation: 47-29=18
Exploring Operation: 29+47=76, Resulting Numbers: [46, 76]
Generated Node #0,3,1: 31:[46, 76] Operation: 29+47=76
Exploring Operation: 29+46=75, Resulting Numbers: [47, 75]
Generated Node #0,3,2: 31:[47, 75] Operation: 29+46=75
Exploring Operation: 47-46=1, Resulting Numbers: [29, 1]
Generated Node #0,3,3: 31:[29, 1] Operation: 47-46=1
Exploring Operation: 46-29=17, Resulting Numbers: [47, 17]
Generated Node #0,3,4: 31:[47, 17] Operation: 46-29=17
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 31:[46, 18], Operations: ['70-24=46', '47-29=18']
Exploring Operation: 46-18=28, Resulting Numbers: [28]
28,31 unequal: No Solution
Exploring Operation: 46+18=64, Resulting Numbers: [64]
64,31 unequal: No Solution
Exploring Operation: 46*18=828, Resulting Numbers: [828]
828,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 31:[47, 17], Operations: ['70-24=46', '46-29=17']
Exploring Operation: 47+17=64, Resulting Numbers: [64]
64,31 unequal: No Solution
Exploring Operation: 47*17=799, Resulting Numbers: [799]
799,31 unequal: No Solution
Exploring Operation: 47-17=30, Resulting Numbers: [30]
30,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 31:[29, 1], Operations: ['70-24=46', '47-46=1']
Exploring Operation: 29/1=29, Resulting Numbers: [29]
29,31 unequal: No Solution
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,31 unequal: No Solution
Exploring Operation: 29+1=30, Resulting Numbers: [30]
30,31 unequal: No Solution
Exploring Operation: 29*1=29, Resulting Numbers: [29]
29,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 31:[46, 76], Operations: ['70-24=46', '29+47=76']
Exploring Operation: 76-46=30, Resulting Numbers: [30]
30,31 unequal: No Solution
Exploring Operation: 46+76=122, Resulting Numbers: [122]
122,31 unequal: No Solution
Exploring Operation: 46*76=3496, Resulting Numbers: [3496]
3496,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 31:[47, 75], Operations: ['70-24=46', '29+46=75']
Exploring Operation: 47+75=122, Resulting Numbers: [122]
122,31 unequal: No Solution
Exploring Operation: 75-47=28, Resulting Numbers: [28]
28,31 unequal: No Solution
Exploring Operation: 47*75=3525, Resulting Numbers: [3525]
3525,31 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: 31:[24, 47, 41], Operations: ['70-29=41']
Exploring Operation: 24+41=65, Resulting Numbers: [47, 65]
Generated Node #0,0,0: 31:[47, 65] Operation: 24+41=65
Exploring Operation: 47-41=6, Resulting Numbers: [24, 6]
Generated Node #0,0,1: 31:[24, 6] Operation: 47-41=6
Exploring Operation: 41-24=17, Resulting Numbers: [47, 17]
Generated Node #0,0,2: 31:[47, 17] Operation: 41-24=17
Exploring Operation: 24+47=71, Resulting Numbers: [41, 71]
Generated Node #0,0,3: 31:[41, 71] Operation: 24+47=71
Exploring Operation: 47-24=23, Resulting Numbers: [41, 23]
Generated Node #0,0,4: 31:[41, 23] Operation: 47-24=23
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 31:[41, 23], Operations: ['70-29=41', '47-24=23']
Exploring Operation: 41-23=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 41*23=943, Resulting Numbers: [943]
943,31 unequal: No Solution
Exploring Operation: 41+23=64, Resulting Numbers: [64]
64,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 31:[47, 17], Operations: ['70-29=41', '41-24=17']
Exploring Operation: 47+17=64, Resulting Numbers: [64]
64,31 unequal: No Solution
Exploring Operation: 47-17=30, Resulting Numbers: [30]
30,31 unequal: No Solution
Exploring Operation: 47*17=799, Resulting Numbers: [799]
799,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 31:[24, 6], Operations: ['70-29=41', '47-41=6']
Exploring Operation: 24*6=144, Resulting Numbers: [144]
144,31 unequal: No Solution
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 24+6=30, Resulting Numbers: [30]
30,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 31:[47, 65], Operations: ['70-29=41', '24+41=65']
Exploring Operation: 47*65=3055, Resulting Numbers: [3055]
3055,31 unequal: No Solution
Exploring Operation: 65-47=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 47+65=112, Resulting Numbers: [112]
112,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 31:[41, 71], Operations: ['70-29=41', '24+47=71']
Exploring Operation: 71-41=30, Resulting Numbers: [30]
30,31 unequal: No Solution
Exploring Operation: 41*71=2911, Resulting Numbers: [2911]
2911,31 unequal: No Solution
Exploring Operation: 41+71=112, Resulting Numbers: [112]
112,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 31:[29, 70, 23], Operations: ['47-24=23']
Exploring Operation: 29-23=6, Resulting Numbers: [70, 6]
Generated Node #0,1,0: 31:[70, 6] Operation: 29-23=6
Exploring Operation: 70+23=93, Resulting Numbers: [29, 93]
Generated Node #0,1,1: 31:[29, 93] Operation: 70+23=93
Exploring Operation: 70-23=47, Resulting Numbers: [29, 47]
Generated Node #0,1,2: 31:[29, 47] Operation: 70-23=47
Exploring Operation: 70-29=41, Resulting Numbers: [23, 41]
Generated Node #0,1,3: 31:[23, 41] Operation: 70-29=41
Exploring Operation: 29+23=52, Resulting Numbers: [70, 52]
Generated Node #0,1,4: 31:[70, 52] Operation: 29+23=52
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 31:[29, 47], Operations: ['47-24=23', '70-23=47']
Exploring Operation: 29+47=76, Resulting Numbers: [76]
76,31 unequal: No Solution
Exploring Operation: 47-29=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 29*47=1363, Resulting Numbers: [1363]
1363,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 31:[23, 41], Operations: ['47-24=23', '70-29=41']
Exploring Operation: 23*41=943, Resulting Numbers: [943]
943,31 unequal: No Solution
Exploring Operation: 41-23=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 23+41=64, Resulting Numbers: [64]
64,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 31:[70, 52], Operations: ['47-24=23', '29+23=52']
Exploring Operation: 70*52=3640, Resulting Numbers: [3640]
3640,31 unequal: No Solution
Exploring Operation: 70+52=122, Resulting Numbers: [122]
122,31 unequal: No Solution
Exploring Operation: 70-52=18, Resulting Numbers: [18]
18,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 31:[70, 6], Operations: ['47-24=23', '29-23=6']
Exploring Operation: 70*6=420, Resulting Numbers: [420]
420,31 unequal: No Solution
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,31 unequal: No Solution
Exploring Operation: 70+6=76, Resulting Numbers: [76]
76,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 31:[29, 93], Operations: ['47-24=23', '70+23=93']
Exploring Operation: 29+93=122, Resulting Numbers: [122]
122,31 unequal: No Solution
Exploring Operation: 93-29=64, Resulting Numbers: [64]
64,31 unequal: No Solution
Exploring Operation: 29*93=2697, Resulting Numbers: [2697]
2697,31 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: 31:[24, 70, 18], Operations: ['47-29=18']
Exploring Operation: 70-18=52, Resulting Numbers: [24, 52]
Generated Node #0,4,0: 31:[24, 52] Operation: 70-18=52
Exploring Operation: 24+18=42, Resulting Numbers: [70, 42]
Generated Node #0,4,1: 31:[70, 42] Operation: 24+18=42
Exploring Operation: 24-18=6, Resulting Numbers: [70, 6]
Generated Node #0,4,2: 31:[70, 6] Operation: 24-18=6
Exploring Operation: 70-24=46, Resulting Numbers: [18, 46]
Generated Node #0,4,3: 31:[18, 46] Operation: 70-24=46
Exploring Operation: 70+18=88, Resulting Numbers: [24, 88]
Generated Node #0,4,4: 31:[24, 88] Operation: 70+18=88
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 31:[24, 52], Operations: ['47-29=18', '70-18=52']
Exploring Operation: 24*52=1248, Resulting Numbers: [1248]
1248,31 unequal: No Solution
Exploring Operation: 24+52=76, Resulting Numbers: [76]
76,31 unequal: No Solution
Exploring Operation: 52-24=28, Resulting Numbers: [28]
28,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 31:[18, 46], Operations: ['47-29=18', '70-24=46']
Exploring Operation: 18+46=64, Resulting Numbers: [64]
64,31 unequal: No Solution
Exploring Operation: 18*46=828, Resulting Numbers: [828]
828,31 unequal: No Solution
Exploring Operation: 46-18=28, Resulting Numbers: [28]
28,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 31:[70, 42], Operations: ['47-29=18', '24+18=42']
Exploring Operation: 70+42=112, Resulting Numbers: [112]
112,31 unequal: No Solution
Exploring Operation: 70*42=2940, Resulting Numbers: [2940]
2940,31 unequal: No Solution
Exploring Operation: 70-42=28, Resulting Numbers: [28]
28,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 31:[70, 6], Operations: ['47-29=18', '24-18=6']
Exploring Operation: 70+6=76, Resulting Numbers: [76]
76,31 unequal: No Solution
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,31 unequal: No Solution
Exploring Operation: 70*6=420, Resulting Numbers: [420]
420,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 31:[24, 88], Operations: ['47-29=18', '70+18=88']
Exploring Operation: 88-24=64, Resulting Numbers: [64]
64,31 unequal: No Solution
Exploring Operation: 24*88=2112, Resulting Numbers: [2112]
2112,31 unequal: No Solution
Exploring Operation: 24+88=112, Resulting Numbers: [112]
112,31 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
|
[
9,
42,
93,
53
] | 18
|
[
"93-42=51",
"53-51=2",
"9*2=18"
] |
Current State: 18:[9, 42, 93, 53], Operations: []
Exploring Operation: 93-42=51, Resulting Numbers: [9, 53, 51]
Generated Node #2: [9, 53, 51] from Operation: 93-42=51
Current State: 18:[9, 53, 51], Operations: ['93-42=51']
Exploring Operation: 53-51=2, Resulting Numbers: [9, 2]
Generated Node #3: [9, 2] from Operation: 53-51=2
Current State: 18:[9, 2], Operations: ['93-42=51', '53-51=2']
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4
|
Current State: 18:[9, 42, 93, 53], Operations: []
Exploring Operation: 93-53=40, Resulting Numbers: [9, 42, 40]
Generated Node #0,0: 18:[9, 42, 40] Operation: 93-53=40
Moving to Node #0,0
Current State: 18:[9, 42, 40], Operations: ['93-53=40']
Exploring Operation: 42-40=2, Resulting Numbers: [9, 2]
Generated Node #0,0,0: 18:[9, 2] Operation: 42-40=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 18:[9, 2], Operations: ['93-53=40', '42-40=2']
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[9, 42, 93, 53], Operations: []
Exploring Operation: 93-53=40, Resulting Numbers: [9, 42, 40]
Generated Node #0,0: 18:[9, 42, 40] Operation: 93-53=40
Moving to Node #0,0
Current State: 18:[9, 42, 40], Operations: ['93-53=40']
Exploring Operation: 42-40=2, Resulting Numbers: [9, 2]
Generated Node #0,0,0: 18:[9, 2] Operation: 42-40=2
Moving to Node #0,0,0
Current State: 18:[9, 2], Operations: ['93-53=40', '42-40=2']
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
sum_heuristic
|
[
82,
26,
87,
9
] | 79
|
[
"87-9=78",
"78/26=3",
"82-3=79"
] |
Current State: 79:[82, 26, 87, 9], Operations: []
Exploring Operation: 87-9=78, Resulting Numbers: [82, 26, 78]
Generated Node #2: [82, 26, 78] from Operation: 87-9=78
Current State: 79:[82, 26, 78], Operations: ['87-9=78']
Exploring Operation: 78/26=3, Resulting Numbers: [82, 3]
Generated Node #3: [82, 3] from Operation: 78/26=3
Current State: 79:[82, 3], Operations: ['87-9=78', '78/26=3']
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4
|
Current State: 79:[82, 26, 87, 9], Operations: []
Exploring Operation: 26+9=35, Resulting Numbers: [82, 87, 35]
Generated Node #0,0: 79:[82, 87, 35] Operation: 26+9=35
Exploring Operation: 87-9=78, Resulting Numbers: [82, 26, 78]
Generated Node #0,1: 79:[82, 26, 78] Operation: 87-9=78
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[82, 87, 35], Operations: ['26+9=35']
Exploring Operation: 82-35=47, Resulting Numbers: [87, 47]
Generated Node #0,0,0: 79:[87, 47] Operation: 82-35=47
Exploring Operation: 87-35=52, Resulting Numbers: [82, 52]
Generated Node #0,0,1: 79:[82, 52] Operation: 87-35=52
Moving to Node #0,0,1
Current State: 79:[82, 52], Operations: ['26+9=35', '87-35=52']
Exploring Operation: 82-52=30, Resulting Numbers: [30]
30,79 unequal: No Solution
Exploring Operation: 82+52=134, Resulting Numbers: [134]
134,79 unequal: No Solution
Moving to Node #0,0,0
Current State: 79:[87, 47], Operations: ['26+9=35', '82-35=47']
Exploring Operation: 87+47=134, Resulting Numbers: [134]
134,79 unequal: No Solution
Exploring Operation: 87-47=40, Resulting Numbers: [40]
40,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 79:[82, 26, 78], Operations: ['87-9=78']
Exploring Operation: 82-26=56, Resulting Numbers: [78, 56]
Generated Node #0,1,0: 79:[78, 56] Operation: 82-26=56
Exploring Operation: 26+78=104, Resulting Numbers: [82, 104]
Generated Node #0,1,1: 79:[82, 104] Operation: 26+78=104
Moving to Node #0,1,0
Current State: 79:[78, 56], Operations: ['87-9=78', '82-26=56']
Exploring Operation: 78-56=22, Resulting Numbers: [22]
22,79 unequal: No Solution
Exploring Operation: 78+56=134, Resulting Numbers: [134]
134,79 unequal: No Solution
Moving to Node #0,1,1
Current State: 79:[82, 104], Operations: ['87-9=78', '26+78=104']
Exploring Operation: 82+104=186, Resulting Numbers: [186]
186,79 unequal: No Solution
Exploring Operation: 104-82=22, Resulting Numbers: [22]
22,79 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
|
[
73,
72,
71,
23
] | 48
|
[
"73-72=1",
"71-23=48",
"1*48=48"
] |
Current State: 48:[73, 72, 71, 23], Operations: []
Exploring Operation: 73-72=1, Resulting Numbers: [71, 23, 1]
Generated Node #2: [71, 23, 1] from Operation: 73-72=1
Current State: 48:[71, 23, 1], Operations: ['73-72=1']
Exploring Operation: 71-23=48, Resulting Numbers: [1, 48]
Generated Node #3: [1, 48] from Operation: 71-23=48
Current State: 48:[1, 48], Operations: ['73-72=1', '71-23=48']
Exploring Operation: 1*48=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4
|
Current State: 48:[73, 72, 71, 23], Operations: []
Exploring Operation: 73-72=1, Resulting Numbers: [71, 23, 1]
Generated Node #0,0: 48:[71, 23, 1] Operation: 73-72=1
Exploring Operation: 72-71=1, Resulting Numbers: [73, 23, 1]
Generated Node #0,1: 48:[73, 23, 1] Operation: 72-71=1
Exploring Operation: 73-71=2, Resulting Numbers: [72, 23, 2]
Generated Node #0,2: 48:[72, 23, 2] Operation: 73-71=2
Exploring Operation: 73-23=50, Resulting Numbers: [72, 71, 50]
Generated Node #0,3: 48:[72, 71, 50] Operation: 73-23=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[71, 23, 1], Operations: ['73-72=1']
Exploring Operation: 71*1=71, Resulting Numbers: [23, 71]
Generated Node #0,0,0: 48:[23, 71] Operation: 71*1=71
Exploring Operation: 23+1=24, Resulting Numbers: [71, 24]
Generated Node #0,0,1: 48:[71, 24] Operation: 23+1=24
Exploring Operation: 71-1=70, Resulting Numbers: [23, 70]
Generated Node #0,0,2: 48:[23, 70] Operation: 71-1=70
Exploring Operation: 71-23=48, Resulting Numbers: [1, 48]
Generated Node #0,0,3: 48:[1, 48] Operation: 71-23=48
Moving to Node #0,0,3
Current State: 48:[1, 48], Operations: ['73-72=1', '71-23=48']
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,48 unequal: No Solution
Exploring Operation: 1+48=49, Resulting Numbers: [49]
49,48 unequal: No Solution
Exploring Operation: 48/1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[73, 72, 71, 23], Operations: []
Exploring Operation: 73-72=1, Resulting Numbers: [71, 23, 1]
Generated Node #0,0: 48:[71, 23, 1] Operation: 73-72=1
Moving to Node #0,0
Current State: 48:[71, 23, 1], Operations: ['73-72=1']
Exploring Operation: 71-23=48, Resulting Numbers: [1, 48]
Generated Node #0,0,3: 48:[1, 48] Operation: 71-23=48
Moving to Node #0,0,3
Current State: 48:[1, 48], Operations: ['73-72=1', '71-23=48']
Exploring Operation: 48/1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979
|
hs_4
|
mult_heuristic
|
[
59,
2,
20,
18
] | 95
|
[
"59-2=57",
"20+18=38",
"57+38=95"
] |
Current State: 95:[59, 2, 20, 18], Operations: []
Exploring Operation: 59-2=57, Resulting Numbers: [20, 18, 57]
Generated Node #2: [20, 18, 57] from Operation: 59-2=57
Current State: 95:[20, 18, 57], Operations: ['59-2=57']
Exploring Operation: 20+18=38, Resulting Numbers: [57, 38]
Generated Node #3: [57, 38] from Operation: 20+18=38
Current State: 95:[57, 38], Operations: ['59-2=57', '20+18=38']
Exploring Operation: 57+38=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4
|
Current State: 95:[59, 2, 20, 18], Operations: []
Exploring Operation: 59-20=39, Resulting Numbers: [2, 18, 39]
Generated Node #0,0: 95:[2, 18, 39] Operation: 59-20=39
Exploring Operation: 59+20=79, Resulting Numbers: [2, 18, 79]
Generated Node #0,1: 95:[2, 18, 79] Operation: 59+20=79
Exploring Operation: 59+18=77, Resulting Numbers: [2, 20, 77]
Generated Node #0,2: 95:[2, 20, 77] Operation: 59+18=77
Moving to Node #0,1
Current State: 95:[2, 18, 79], Operations: ['59+20=79']
Exploring Operation: 18+79=97, Resulting Numbers: [2, 97]
Generated Node #0,1,0: 95:[2, 97] Operation: 18+79=97
Exploring Operation: 2+18=20, Resulting Numbers: [79, 20]
Generated Node #0,1,1: 95:[79, 20] Operation: 2+18=20
Exploring Operation: 2+79=81, Resulting Numbers: [18, 81]
Generated Node #0,1,2: 95:[18, 81] Operation: 2+79=81
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 95:[2, 97], Operations: ['59+20=79', '18+79=97']
Exploring Operation: 2*97=194, Resulting Numbers: [194]
194,95 unequal: No Solution
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[59, 2, 20, 18], Operations: []
Exploring Operation: 59+20=79, Resulting Numbers: [2, 18, 79]
Generated Node #0,1: 95:[2, 18, 79] Operation: 59+20=79
Moving to Node #0,1
Current State: 95:[2, 18, 79], Operations: ['59+20=79']
Exploring Operation: 18+79=97, Resulting Numbers: [2, 97]
Generated Node #0,1,0: 95:[2, 97] Operation: 18+79=97
Moving to Node #0,1,0
Current State: 95:[2, 97], Operations: ['59+20=79', '18+79=97']
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583
|
hs_3
|
sum_heuristic
|
[
86,
94,
70,
64
] | 62
|
[
"94-86=8",
"64/8=8",
"70-8=62"
] |
Current State: 62:[86, 94, 70, 64], Operations: []
Exploring Operation: 94-86=8, Resulting Numbers: [70, 64, 8]
Generated Node #2: [70, 64, 8] from Operation: 94-86=8
Current State: 62:[70, 64, 8], Operations: ['94-86=8']
Exploring Operation: 64/8=8, Resulting Numbers: [70, 8]
Generated Node #3: [70, 8] from Operation: 64/8=8
Current State: 62:[70, 8], Operations: ['94-86=8', '64/8=8']
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4
|
Current State: 62:[86, 94, 70, 64], Operations: []
Exploring Operation: 94-64=30, Resulting Numbers: [86, 70, 30]
Generated Node #0,0: 62:[86, 70, 30] Operation: 94-64=30
Exploring Operation: 94-70=24, Resulting Numbers: [86, 64, 24]
Generated Node #0,1: 62:[86, 64, 24] Operation: 94-70=24
Exploring Operation: 94-86=8, Resulting Numbers: [70, 64, 8]
Generated Node #0,2: 62:[70, 64, 8] Operation: 94-86=8
Start Sub Search at level 1: Moving to Node #0,2
Current State: 62:[70, 64, 8], Operations: ['94-86=8']
Exploring Operation: 64-8=56, Resulting Numbers: [70, 56]
Generated Node #0,2,0: 62:[70, 56] Operation: 64-8=56
Exploring Operation: 70-64=6, Resulting Numbers: [8, 6]
Generated Node #0,2,1: 62:[8, 6] Operation: 70-64=6
Exploring Operation: 70-8=62, Resulting Numbers: [64, 62]
Generated Node #0,2,2: 62:[64, 62] Operation: 70-8=62
Moving to Node #0,2,2
Current State: 62:[64, 62], Operations: ['94-86=8', '70-8=62']
Exploring Operation: 64*62=3968, Resulting Numbers: [3968]
3968,62 unequal: No Solution
Exploring Operation: 64-62=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 64+62=126, Resulting Numbers: [126]
126,62 unequal: No Solution
Moving to Node #0,2,1
Current State: 62:[8, 6], Operations: ['94-86=8', '70-64=6']
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,62 unequal: No Solution
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,62 unequal: No Solution
Moving to Node #0,2,0
Current State: 62:[70, 56], Operations: ['94-86=8', '64-8=56']
Exploring Operation: 70*56=3920, Resulting Numbers: [3920]
3920,62 unequal: No Solution
Exploring Operation: 70+56=126, Resulting Numbers: [126]
126,62 unequal: No Solution
Exploring Operation: 70-56=14, Resulting Numbers: [14]
14,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[86, 70, 30], Operations: ['94-64=30']
Exploring Operation: 86-30=56, Resulting Numbers: [70, 56]
Generated Node #0,0,0: 62:[70, 56] Operation: 86-30=56
Exploring Operation: 86-70=16, Resulting Numbers: [30, 16]
Generated Node #0,0,1: 62:[30, 16] Operation: 86-70=16
Exploring Operation: 70-30=40, Resulting Numbers: [86, 40]
Generated Node #0,0,2: 62:[86, 40] Operation: 70-30=40
Moving to Node #0,0,0
Current State: 62:[70, 56], Operations: ['94-64=30', '86-30=56']
Exploring Operation: 70-56=14, Resulting Numbers: [14]
14,62 unequal: No Solution
Exploring Operation: 70*56=3920, Resulting Numbers: [3920]
3920,62 unequal: No Solution
Exploring Operation: 70+56=126, Resulting Numbers: [126]
126,62 unequal: No Solution
Moving to Node #0,0,1
Current State: 62:[30, 16], Operations: ['94-64=30', '86-70=16']
Exploring Operation: 30+16=46, Resulting Numbers: [46]
46,62 unequal: No Solution
Exploring Operation: 30*16=480, Resulting Numbers: [480]
480,62 unequal: No Solution
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,62 unequal: No Solution
Moving to Node #0,0,2
Current State: 62:[86, 40], Operations: ['94-64=30', '70-30=40']
Exploring Operation: 86*40=3440, Resulting Numbers: [3440]
3440,62 unequal: No Solution
Exploring Operation: 86+40=126, Resulting Numbers: [126]
126,62 unequal: No Solution
Exploring Operation: 86-40=46, Resulting Numbers: [46]
46,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 62:[86, 64, 24], Operations: ['94-70=24']
Exploring Operation: 86-64=22, Resulting Numbers: [24, 22]
Generated Node #0,1,0: 62:[24, 22] Operation: 86-64=22
Exploring Operation: 86-24=62, Resulting Numbers: [64, 62]
Generated Node #0,1,1: 62:[64, 62] Operation: 86-24=62
Exploring Operation: 64-24=40, Resulting Numbers: [86, 40]
Generated Node #0,1,2: 62:[86, 40] Operation: 64-24=40
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 62:[64, 62], Operations: ['94-70=24', '86-24=62']
Exploring Operation: 64*62=3968, Resulting Numbers: [3968]
3968,62 unequal: No Solution
Exploring Operation: 64-62=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 64+62=126, Resulting Numbers: [126]
126,62 unequal: No Solution
No 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: 62:[24, 22], Operations: ['94-70=24', '86-64=22']
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 24*22=528, Resulting Numbers: [528]
528,62 unequal: No Solution
Exploring Operation: 24+22=46, Resulting Numbers: [46]
46,62 unequal: No Solution
No 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: 62:[86, 40], Operations: ['94-70=24', '64-24=40']
Exploring Operation: 86*40=3440, Resulting Numbers: [3440]
3440,62 unequal: No Solution
Exploring Operation: 86+40=126, Resulting Numbers: [126]
126,62 unequal: No Solution
Exploring Operation: 86-40=46, Resulting Numbers: [46]
46,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
sum_heuristic
|
[
55,
33,
36,
89
] | 75
|
[
"55-33=22",
"89-36=53",
"22+53=75"
] |
Current State: 75:[55, 33, 36, 89], Operations: []
Exploring Operation: 55-33=22, Resulting Numbers: [36, 89, 22]
Generated Node #2: [36, 89, 22] from Operation: 55-33=22
Current State: 75:[36, 89, 22], Operations: ['55-33=22']
Exploring Operation: 89-36=53, Resulting Numbers: [22, 53]
Generated Node #3: [22, 53] from Operation: 89-36=53
Current State: 75:[22, 53], Operations: ['55-33=22', '89-36=53']
Exploring Operation: 22+53=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4
|
Current State: 75:[55, 33, 36, 89], Operations: []
Exploring Operation: 89-55=34, Resulting Numbers: [33, 36, 34]
Generated Node #0,0: 75:[33, 36, 34] Operation: 89-55=34
Exploring Operation: 55-33=22, Resulting Numbers: [36, 89, 22]
Generated Node #0,1: 75:[36, 89, 22] Operation: 55-33=22
Exploring Operation: 55-36=19, Resulting Numbers: [33, 89, 19]
Generated Node #0,2: 75:[33, 89, 19] Operation: 55-36=19
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[33, 89, 19], Operations: ['55-36=19']
Exploring Operation: 33-19=14, Resulting Numbers: [89, 14]
Generated Node #0,2,0: 75:[89, 14] Operation: 33-19=14
Exploring Operation: 89-19=70, Resulting Numbers: [33, 70]
Generated Node #0,2,1: 75:[33, 70] Operation: 89-19=70
Exploring Operation: 89-33=56, Resulting Numbers: [19, 56]
Generated Node #0,2,2: 75:[19, 56] Operation: 89-33=56
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 75:[33, 70], Operations: ['55-36=19', '89-19=70']
Exploring Operation: 33+70=103, Resulting Numbers: [103]
103,75 unequal: No Solution
Exploring Operation: 33*70=2310, Resulting Numbers: [2310]
2310,75 unequal: No Solution
Exploring Operation: 70-33=37, Resulting Numbers: [37]
37,75 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 #0,2,0
Current State: 75:[89, 14], Operations: ['55-36=19', '33-19=14']
Exploring Operation: 89*14=1246, Resulting Numbers: [1246]
1246,75 unequal: No Solution
Exploring Operation: 89-14=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[55, 33, 36, 89], Operations: []
Exploring Operation: 55-36=19, Resulting Numbers: [33, 89, 19]
Generated Node #0,2: 75:[33, 89, 19] Operation: 55-36=19
Moving to Node #0,2
Current State: 75:[33, 89, 19], Operations: ['55-36=19']
Exploring Operation: 33-19=14, Resulting Numbers: [89, 14]
Generated Node #0,2,0: 75:[89, 14] Operation: 33-19=14
Moving to Node #0,2,0
Current State: 75:[89, 14], Operations: ['55-36=19', '33-19=14']
Exploring Operation: 89-14=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979
|
hs_3
|
mult_heuristic
|
[
78,
80,
33,
37
] | 41
|
[
"80-78=2",
"37*2=74",
"74-33=41"
] |
Current State: 41:[78, 80, 33, 37], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [33, 37, 2]
Generated Node #2: [33, 37, 2] from Operation: 80-78=2
Current State: 41:[33, 37, 2], Operations: ['80-78=2']
Exploring Operation: 37*2=74, Resulting Numbers: [33, 74]
Generated Node #3: [33, 74] from Operation: 37*2=74
Current State: 41:[33, 74], Operations: ['80-78=2', '37*2=74']
Exploring Operation: 74-33=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4
|
Current State: 41:[78, 80, 33, 37], Operations: []
Exploring Operation: 78-33=45, Resulting Numbers: [80, 37, 45]
Generated Node #0,0: 41:[80, 37, 45] Operation: 78-33=45
Moving to Node #0,0
Current State: 41:[80, 37, 45], Operations: ['78-33=45']
Exploring Operation: 80-37=43, Resulting Numbers: [45, 43]
Generated Node #0,0,0: 41:[45, 43] Operation: 80-37=43
Moving to Node #0,0,0
Current State: 41:[45, 43], Operations: ['78-33=45', '80-37=43']
Exploring Operation: 45-43=2, Resulting Numbers: [2]
2,41 unequal: No Solution
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
54,
75,
35,
41
] | 15
|
[
"75-54=21",
"41-35=6",
"21-6=15"
] |
Current State: 15:[54, 75, 35, 41], Operations: []
Exploring Operation: 75-54=21, Resulting Numbers: [35, 41, 21]
Generated Node #2: [35, 41, 21] from Operation: 75-54=21
Current State: 15:[35, 41, 21], Operations: ['75-54=21']
Exploring Operation: 41-35=6, Resulting Numbers: [21, 6]
Generated Node #3: [21, 6] from Operation: 41-35=6
Current State: 15:[21, 6], Operations: ['75-54=21', '41-35=6']
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4
|
Current State: 15:[54, 75, 35, 41], Operations: []
Exploring Operation: 75-54=21, Resulting Numbers: [35, 41, 21]
Generated Node #0,0: 15:[35, 41, 21] Operation: 75-54=21
Exploring Operation: 54-35=19, Resulting Numbers: [75, 41, 19]
Generated Node #0,1: 15:[75, 41, 19] Operation: 54-35=19
Exploring Operation: 75-41=34, Resulting Numbers: [54, 35, 34]
Generated Node #0,2: 15:[54, 35, 34] Operation: 75-41=34
Exploring Operation: 54-41=13, Resulting Numbers: [75, 35, 13]
Generated Node #0,3: 15:[75, 35, 13] Operation: 54-41=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[35, 41, 21], Operations: ['75-54=21']
Exploring Operation: 41-21=20, Resulting Numbers: [35, 20]
Generated Node #0,0,0: 15:[35, 20] Operation: 41-21=20
Exploring Operation: 35+41=76, Resulting Numbers: [21, 76]
Generated Node #0,0,1: 15:[21, 76] Operation: 35+41=76
Exploring Operation: 35-21=14, Resulting Numbers: [41, 14]
Generated Node #0,0,2: 15:[41, 14] Operation: 35-21=14
Exploring Operation: 41-35=6, Resulting Numbers: [21, 6]
Generated Node #0,0,3: 15:[21, 6] Operation: 41-35=6
Moving to Node #0,0,3
Current State: 15:[21, 6], Operations: ['75-54=21', '41-35=6']
Exploring Operation: 21+6=27, Resulting Numbers: [27]
27,15 unequal: No Solution
Exploring Operation: 21*6=126, Resulting Numbers: [126]
126,15 unequal: No Solution
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[54, 75, 35, 41], Operations: []
Exploring Operation: 75-54=21, Resulting Numbers: [35, 41, 21]
Generated Node #0,0: 15:[35, 41, 21] Operation: 75-54=21
Moving to Node #0,0
Current State: 15:[35, 41, 21], Operations: ['75-54=21']
Exploring Operation: 41-35=6, Resulting Numbers: [21, 6]
Generated Node #0,0,3: 15:[21, 6] Operation: 41-35=6
Moving to Node #0,0,3
Current State: 15:[21, 6], Operations: ['75-54=21', '41-35=6']
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979
|
hs_4
|
mult_heuristic
|
[
62,
14,
12,
74
] | 13
|
[
"62+12=74",
"74/74=1",
"14-1=13"
] |
Current State: 13:[62, 14, 12, 74], Operations: []
Exploring Operation: 62+12=74, Resulting Numbers: [14, 74, 74]
Generated Node #2: [14, 74, 74] from Operation: 62+12=74
Current State: 13:[14, 74, 74], Operations: ['62+12=74']
Exploring Operation: 74/74=1, Resulting Numbers: [14, 1]
Generated Node #3: [14, 1] from Operation: 74/74=1
Current State: 13:[14, 1], Operations: ['62+12=74', '74/74=1']
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4
|
Current State: 13:[62, 14, 12, 74], Operations: []
Exploring Operation: 62-14=48, Resulting Numbers: [12, 74, 48]
Generated Node #0,0: 13:[12, 74, 48] Operation: 62-14=48
Exploring Operation: 62-12=50, Resulting Numbers: [14, 74, 50]
Generated Node #0,1: 13:[14, 74, 50] Operation: 62-12=50
Exploring Operation: 74-62=12, Resulting Numbers: [14, 12, 12]
Generated Node #0,2: 13:[14, 12, 12] Operation: 74-62=12
Exploring Operation: 74-14=60, Resulting Numbers: [62, 12, 60]
Generated Node #0,3: 13:[62, 12, 60] Operation: 74-14=60
Exploring Operation: 74-12=62, Resulting Numbers: [62, 14, 62]
Generated Node #0,4: 13:[62, 14, 62] Operation: 74-12=62
Start Sub Search at level 1: Moving to Node #0,2
Current State: 13:[14, 12, 12], Operations: ['74-62=12']
Exploring Operation: 12/12=1, Resulting Numbers: [14, 1]
Generated Node #0,2,0: 13:[14, 1] Operation: 12/12=1
Exploring Operation: 14-12=2, Resulting Numbers: [12, 2]
Generated Node #0,2,1: 13:[12, 2] Operation: 14-12=2
Exploring Operation: 14-12=2, Resulting Numbers: [12, 2]
Generated Node #0,2,2: 13:[12, 2] Operation: 14-12=2
Exploring Operation: 14+12=26, Resulting Numbers: [12, 26]
Generated Node #0,2,3: 13:[12, 26] Operation: 14+12=26
Exploring Operation: 12+12=24, Resulting Numbers: [14, 24]
Generated Node #0,2,4: 13:[14, 24] Operation: 12+12=24
Moving to Node #0,2,1
Current State: 13:[12, 2], Operations: ['74-62=12', '14-12=2']
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,13 unequal: No Solution
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,13 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,13 unequal: No Solution
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,13 unequal: No Solution
Moving to Node #0,2,4
Current State: 13:[14, 24], Operations: ['74-62=12', '12+12=24']
Exploring Operation: 14+24=38, Resulting Numbers: [38]
38,13 unequal: No Solution
Exploring Operation: 24-14=10, Resulting Numbers: [10]
10,13 unequal: No Solution
Exploring Operation: 14*24=336, Resulting Numbers: [336]
336,13 unequal: No Solution
Moving to Node #0,2,2
Current State: 13:[12, 2], Operations: ['74-62=12', '14-12=2']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,13 unequal: No Solution
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,13 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,13 unequal: No Solution
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,13 unequal: No Solution
Moving to Node #0,2,0
Current State: 13:[14, 1], Operations: ['74-62=12', '12/12=1']
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,13 unequal: No Solution
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,13 unequal: No Solution
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,13 unequal: No Solution
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[62, 14, 12, 74], Operations: []
Exploring Operation: 74-62=12, Resulting Numbers: [14, 12, 12]
Generated Node #0,2: 13:[14, 12, 12] Operation: 74-62=12
Moving to Node #0,2
Current State: 13:[14, 12, 12], Operations: ['74-62=12']
Exploring Operation: 12/12=1, Resulting Numbers: [14, 1]
Generated Node #0,2,0: 13:[14, 1] Operation: 12/12=1
Moving to Node #0,2,0
Current State: 13:[14, 1], Operations: ['74-62=12', '12/12=1']
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826
|
hs_5
|
sum_heuristic
|
[
19,
21,
15,
13
] | 20
|
[
"19+21=40",
"15-13=2",
"40/2=20"
] |
Current State: 20:[19, 21, 15, 13], Operations: []
Exploring Operation: 19+21=40, Resulting Numbers: [15, 13, 40]
Generated Node #2: [15, 13, 40] from Operation: 19+21=40
Current State: 20:[15, 13, 40], Operations: ['19+21=40']
Exploring Operation: 15-13=2, Resulting Numbers: [40, 2]
Generated Node #3: [40, 2] from Operation: 15-13=2
Current State: 20:[40, 2], Operations: ['19+21=40', '15-13=2']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4
|
Current State: 20:[19, 21, 15, 13], Operations: []
Exploring Operation: 21-19=2, Resulting Numbers: [15, 13, 2]
Generated Node #0,0: 20:[15, 13, 2] Operation: 21-19=2
Exploring Operation: 19-15=4, Resulting Numbers: [21, 13, 4]
Generated Node #0,1: 20:[21, 13, 4] Operation: 19-15=4
Exploring Operation: 21-15=6, Resulting Numbers: [19, 13, 6]
Generated Node #0,2: 20:[19, 13, 6] Operation: 21-15=6
Exploring Operation: 15-13=2, Resulting Numbers: [19, 21, 2]
Generated Node #0,3: 20:[19, 21, 2] Operation: 15-13=2
Exploring Operation: 19-13=6, Resulting Numbers: [21, 15, 6]
Generated Node #0,4: 20:[21, 15, 6] Operation: 19-13=6
Start Sub Search at level 1: Moving to Node #0,3
Current State: 20:[19, 21, 2], Operations: ['15-13=2']
Exploring Operation: 21+2=23, Resulting Numbers: [19, 23]
Generated Node #0,3,0: 20:[19, 23] Operation: 21+2=23
Exploring Operation: 21-19=2, Resulting Numbers: [2, 2]
Generated Node #0,3,1: 20:[2, 2] Operation: 21-19=2
Exploring Operation: 19+2=21, Resulting Numbers: [21, 21]
Generated Node #0,3,2: 20:[21, 21] Operation: 19+2=21
Exploring Operation: 19-2=17, Resulting Numbers: [21, 17]
Generated Node #0,3,3: 20:[21, 17] Operation: 19-2=17
Exploring Operation: 21-2=19, Resulting Numbers: [19, 19]
Generated Node #0,3,4: 20:[19, 19] Operation: 21-2=19
Moving to Node #0,3,1
Current State: 20:[2, 2], Operations: ['15-13=2', '21-19=2']
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,20 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,20 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Moving to Node #0,3,4
Current State: 20:[19, 19], Operations: ['15-13=2', '21-2=19']
Exploring Operation: 19+19=38, Resulting Numbers: [38]
38,20 unequal: No Solution
Exploring Operation: 19/19=1, Resulting Numbers: [1]
1,20 unequal: No Solution
Exploring Operation: 19-19=0, Resulting Numbers: [0]
0,20 unequal: No Solution
Exploring Operation: 19*19=361, Resulting Numbers: [361]
361,20 unequal: No Solution
Moving to Node #0,3,2
Current State: 20:[21, 21], Operations: ['15-13=2', '19+2=21']
Exploring Operation: 21*21=441, Resulting Numbers: [441]
441,20 unequal: No Solution
Exploring Operation: 21/21=1, Resulting Numbers: [1]
1,20 unequal: No Solution
Exploring Operation: 21+21=42, Resulting Numbers: [42]
42,20 unequal: No Solution
Exploring Operation: 21-21=0, Resulting Numbers: [0]
0,20 unequal: No Solution
Moving to Node #0,3,0
Current State: 20:[19, 23], Operations: ['15-13=2', '21+2=23']
Exploring Operation: 19+23=42, Resulting Numbers: [42]
42,20 unequal: No Solution
Exploring Operation: 19*23=437, Resulting Numbers: [437]
437,20 unequal: No Solution
Exploring Operation: 23-19=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Moving to Node #0,3,3
Current State: 20:[21, 17], Operations: ['15-13=2', '19-2=17']
Exploring Operation: 21*17=357, Resulting Numbers: [357]
357,20 unequal: No Solution
Exploring Operation: 21-17=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Exploring Operation: 21+17=38, Resulting Numbers: [38]
38,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 20:[21, 13, 4], Operations: ['19-15=4']
Exploring Operation: 21-4=17, Resulting Numbers: [13, 17]
Generated Node #0,1,0: 20:[13, 17] Operation: 21-4=17
Exploring Operation: 13-4=9, Resulting Numbers: [21, 9]
Generated Node #0,1,1: 20:[21, 9] Operation: 13-4=9
Exploring Operation: 13+4=17, Resulting Numbers: [21, 17]
Generated Node #0,1,2: 20:[21, 17] Operation: 13+4=17
Exploring Operation: 21-13=8, Resulting Numbers: [4, 8]
Generated Node #0,1,3: 20:[4, 8] Operation: 21-13=8
Exploring Operation: 21+4=25, Resulting Numbers: [13, 25]
Generated Node #0,1,4: 20:[13, 25] Operation: 21+4=25
Moving to Node #0,1,1
Current State: 20:[21, 9], Operations: ['19-15=4', '13-4=9']
Exploring Operation: 21-9=12, Resulting Numbers: [12]
12,20 unequal: No Solution
Exploring Operation: 21*9=189, Resulting Numbers: [189]
189,20 unequal: No Solution
Exploring Operation: 21+9=30, Resulting Numbers: [30]
30,20 unequal: No Solution
Moving to Node #0,1,3
Current State: 20:[4, 8], Operations: ['19-15=4', '21-13=8']
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,20 unequal: No Solution
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,20 unequal: No Solution
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,20 unequal: No Solution
Moving to Node #0,1,2
Current State: 20:[21, 17], Operations: ['19-15=4', '13+4=17']
Exploring Operation: 21*17=357, Resulting Numbers: [357]
357,20 unequal: No Solution
Exploring Operation: 21+17=38, Resulting Numbers: [38]
38,20 unequal: No Solution
Exploring Operation: 21-17=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Moving to Node #0,1,0
Current State: 20:[13, 17], Operations: ['19-15=4', '21-4=17']
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Exploring Operation: 13*17=221, Resulting Numbers: [221]
221,20 unequal: No Solution
Exploring Operation: 13+17=30, Resulting Numbers: [30]
30,20 unequal: No Solution
Moving to Node #0,1,4
Current State: 20:[13, 25], Operations: ['19-15=4', '21+4=25']
Exploring Operation: 13*25=325, Resulting Numbers: [325]
325,20 unequal: No Solution
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,20 unequal: No Solution
Exploring Operation: 13+25=38, Resulting Numbers: [38]
38,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 20:[19, 13, 6], Operations: ['21-15=6']
Exploring Operation: 13-6=7, Resulting Numbers: [19, 7]
Generated Node #0,2,0: 20:[19, 7] Operation: 13-6=7
Exploring Operation: 19-6=13, Resulting Numbers: [13, 13]
Generated Node #0,2,1: 20:[13, 13] Operation: 19-6=13
Exploring Operation: 19+6=25, Resulting Numbers: [13, 25]
Generated Node #0,2,2: 20:[13, 25] Operation: 19+6=25
Exploring Operation: 19-13=6, Resulting Numbers: [6, 6]
Generated Node #0,2,3: 20:[6, 6] Operation: 19-13=6
Exploring Operation: 13+6=19, Resulting Numbers: [19, 19]
Generated Node #0,2,4: 20:[19, 19] Operation: 13+6=19
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 20:[6, 6], Operations: ['21-15=6', '19-13=6']
Exploring Operation: 6*6=36, Resulting Numbers: [36]
36,20 unequal: No Solution
Exploring Operation: 6+6=12, Resulting Numbers: [12]
12,20 unequal: No Solution
Exploring Operation: 6-6=0, Resulting Numbers: [0]
0,20 unequal: No Solution
Exploring Operation: 6/6=1, Resulting Numbers: [1]
1,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 20:[19, 19], Operations: ['21-15=6', '13+6=19']
Exploring Operation: 19*19=361, Resulting Numbers: [361]
361,20 unequal: No Solution
Exploring Operation: 19+19=38, Resulting Numbers: [38]
38,20 unequal: No Solution
Exploring Operation: 19/19=1, Resulting Numbers: [1]
1,20 unequal: No Solution
Exploring Operation: 19-19=0, Resulting Numbers: [0]
0,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 20:[19, 7], Operations: ['21-15=6', '13-6=7']
Exploring Operation: 19+7=26, Resulting Numbers: [26]
26,20 unequal: No Solution
Exploring Operation: 19*7=133, Resulting Numbers: [133]
133,20 unequal: No Solution
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 20:[13, 13], Operations: ['21-15=6', '19-6=13']
Exploring Operation: 13/13=1, Resulting Numbers: [1]
1,20 unequal: No Solution
Exploring Operation: 13+13=26, Resulting Numbers: [26]
26,20 unequal: No Solution
Exploring Operation: 13*13=169, Resulting Numbers: [169]
169,20 unequal: No Solution
Exploring Operation: 13-13=0, Resulting Numbers: [0]
0,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 20:[13, 25], Operations: ['21-15=6', '19+6=25']
Exploring Operation: 13*25=325, Resulting Numbers: [325]
325,20 unequal: No Solution
Exploring Operation: 13+25=38, Resulting Numbers: [38]
38,20 unequal: No Solution
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,20 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: 20:[21, 15, 6], Operations: ['19-13=6']
Exploring Operation: 15-6=9, Resulting Numbers: [21, 9]
Generated Node #0,4,0: 20:[21, 9] Operation: 15-6=9
Exploring Operation: 21+6=27, Resulting Numbers: [15, 27]
Generated Node #0,4,1: 20:[15, 27] Operation: 21+6=27
Exploring Operation: 21-15=6, Resulting Numbers: [6, 6]
Generated Node #0,4,2: 20:[6, 6] Operation: 21-15=6
Exploring Operation: 15+6=21, Resulting Numbers: [21, 21]
Generated Node #0,4,3: 20:[21, 21] Operation: 15+6=21
Exploring Operation: 21-6=15, Resulting Numbers: [15, 15]
Generated Node #0,4,4: 20:[15, 15] Operation: 21-6=15
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 20:[21, 9], Operations: ['19-13=6', '15-6=9']
Exploring Operation: 21-9=12, Resulting Numbers: [12]
12,20 unequal: No Solution
Exploring Operation: 21+9=30, Resulting Numbers: [30]
30,20 unequal: No Solution
Exploring Operation: 21*9=189, Resulting Numbers: [189]
189,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 20:[6, 6], Operations: ['19-13=6', '21-15=6']
Exploring Operation: 6-6=0, Resulting Numbers: [0]
0,20 unequal: No Solution
Exploring Operation: 6+6=12, Resulting Numbers: [12]
12,20 unequal: No Solution
Exploring Operation: 6/6=1, Resulting Numbers: [1]
1,20 unequal: No Solution
Exploring Operation: 6*6=36, Resulting Numbers: [36]
36,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 20:[21, 21], Operations: ['19-13=6', '15+6=21']
Exploring Operation: 21-21=0, Resulting Numbers: [0]
0,20 unequal: No Solution
Exploring Operation: 21/21=1, Resulting Numbers: [1]
1,20 unequal: No Solution
Exploring Operation: 21*21=441, Resulting Numbers: [441]
441,20 unequal: No Solution
Exploring Operation: 21+21=42, Resulting Numbers: [42]
42,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 20:[15, 15], Operations: ['19-13=6', '21-6=15']
Exploring Operation: 15+15=30, Resulting Numbers: [30]
30,20 unequal: No Solution
Exploring Operation: 15*15=225, Resulting Numbers: [225]
225,20 unequal: No Solution
Exploring Operation: 15-15=0, Resulting Numbers: [0]
0,20 unequal: No Solution
Exploring Operation: 15/15=1, Resulting Numbers: [1]
1,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 20:[15, 27], Operations: ['19-13=6', '21+6=27']
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,20 unequal: No Solution
Exploring Operation: 15*27=405, Resulting Numbers: [405]
405,20 unequal: No Solution
Exploring Operation: 15+27=42, Resulting Numbers: [42]
42,20 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: 20:[15, 13, 2], Operations: ['21-19=2']
Exploring Operation: 15+2=17, Resulting Numbers: [13, 17]
Generated Node #0,0,0: 20:[13, 17] Operation: 15+2=17
Exploring Operation: 15+13=28, Resulting Numbers: [2, 28]
Generated Node #0,0,1: 20:[2, 28] Operation: 15+13=28
Exploring Operation: 15-2=13, Resulting Numbers: [13, 13]
Generated Node #0,0,2: 20:[13, 13] Operation: 15-2=13
Exploring Operation: 15-13=2, Resulting Numbers: [2, 2]
Generated Node #0,0,3: 20:[2, 2] Operation: 15-13=2
Exploring Operation: 13-2=11, Resulting Numbers: [15, 11]
Generated Node #0,0,4: 20:[15, 11] Operation: 13-2=11
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 20:[2, 2], Operations: ['21-19=2', '15-13=2']
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,20 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 20:[13, 17], Operations: ['21-19=2', '15+2=17']
Exploring Operation: 13+17=30, Resulting Numbers: [30]
30,20 unequal: No Solution
Exploring Operation: 13*17=221, Resulting Numbers: [221]
221,20 unequal: No Solution
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 20:[13, 13], Operations: ['21-19=2', '15-2=13']
Exploring Operation: 13/13=1, Resulting Numbers: [1]
1,20 unequal: No Solution
Exploring Operation: 13-13=0, Resulting Numbers: [0]
0,20 unequal: No Solution
Exploring Operation: 13+13=26, Resulting Numbers: [26]
26,20 unequal: No Solution
Exploring Operation: 13*13=169, Resulting Numbers: [169]
169,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 20:[15, 11], Operations: ['21-19=2', '13-2=11']
Exploring Operation: 15*11=165, Resulting Numbers: [165]
165,20 unequal: No Solution
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,20 unequal: No Solution
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 20:[2, 28], Operations: ['21-19=2', '15+13=28']
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,20 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,20 unequal: No Solution
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,20 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_5
|
sum_heuristic
|
[
91,
8,
12,
22
] | 78
|
[
"91*12=1092",
"22-8=14",
"1092/14=78"
] |
Current State: 78:[91, 8, 12, 22], Operations: []
Exploring Operation: 91*12=1092, Resulting Numbers: [8, 22, 1092]
Generated Node #2: [8, 22, 1092] from Operation: 91*12=1092
Current State: 78:[8, 22, 1092], Operations: ['91*12=1092']
Exploring Operation: 22-8=14, Resulting Numbers: [1092, 14]
Generated Node #3: [1092, 14] from Operation: 22-8=14
Current State: 78:[1092, 14], Operations: ['91*12=1092', '22-8=14']
Exploring Operation: 1092/14=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4
|
Current State: 78:[91, 8, 12, 22], Operations: []
Exploring Operation: 91-12=79, Resulting Numbers: [8, 22, 79]
Generated Node #0,0: 78:[8, 22, 79] Operation: 91-12=79
Moving to Node #0,0
Current State: 78:[8, 22, 79], Operations: ['91-12=79']
Exploring Operation: 22-8=14, Resulting Numbers: [79, 14]
Generated Node #0,0,0: 78:[79, 14] Operation: 22-8=14
Moving to Node #0,0,0
Current State: 78:[79, 14], Operations: ['91-12=79', '22-8=14']
Exploring Operation: 79-14=65, Resulting Numbers: [65]
65,78 unequal: No Solution
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
57,
67,
35,
55
] | 10
|
[
"67-57=10",
"55-35=20",
"20-10=10"
] |
Current State: 10:[57, 67, 35, 55], Operations: []
Exploring Operation: 67-57=10, Resulting Numbers: [35, 55, 10]
Generated Node #2: [35, 55, 10] from Operation: 67-57=10
Current State: 10:[35, 55, 10], Operations: ['67-57=10']
Exploring Operation: 55-35=20, Resulting Numbers: [10, 20]
Generated Node #3: [10, 20] from Operation: 55-35=20
Current State: 10:[10, 20], Operations: ['67-57=10', '55-35=20']
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4
|
Current State: 10:[57, 67, 35, 55], Operations: []
Exploring Operation: 67-57=10, Resulting Numbers: [35, 55, 10]
Generated Node #0,0: 10:[35, 55, 10] Operation: 67-57=10
Exploring Operation: 67-55=12, Resulting Numbers: [57, 35, 12]
Generated Node #0,1: 10:[57, 35, 12] Operation: 67-55=12
Exploring Operation: 67-35=32, Resulting Numbers: [57, 55, 32]
Generated Node #0,2: 10:[57, 55, 32] Operation: 67-35=32
Exploring Operation: 57-35=22, Resulting Numbers: [67, 55, 22]
Generated Node #0,3: 10:[67, 55, 22] Operation: 57-35=22
Exploring Operation: 57-55=2, Resulting Numbers: [67, 35, 2]
Generated Node #0,4: 10:[67, 35, 2] Operation: 57-55=2
Moving to Node #0,0
Current State: 10:[35, 55, 10], Operations: ['67-57=10']
Exploring Operation: 35-10=25, Resulting Numbers: [55, 25]
Generated Node #0,0,0: 10:[55, 25] Operation: 35-10=25
Exploring Operation: 55-35=20, Resulting Numbers: [10, 20]
Generated Node #0,0,1: 10:[10, 20] Operation: 55-35=20
Exploring Operation: 55-10=45, Resulting Numbers: [35, 45]
Generated Node #0,0,2: 10:[35, 45] Operation: 55-10=45
Exploring Operation: 35+55=90, Resulting Numbers: [10, 90]
Generated Node #0,0,3: 10:[10, 90] Operation: 35+55=90
Exploring Operation: 35+10=45, Resulting Numbers: [55, 45]
Generated Node #0,0,4: 10:[55, 45] Operation: 35+10=45
Moving to Node #0,1
Current State: 10:[57, 35, 12], Operations: ['67-55=12']
Exploring Operation: 57-35=22, Resulting Numbers: [12, 22]
Generated Node #0,1,0: 10:[12, 22] Operation: 57-35=22
Exploring Operation: 57+35=92, Resulting Numbers: [12, 92]
Generated Node #0,1,1: 10:[12, 92] Operation: 57+35=92
Exploring Operation: 35-12=23, Resulting Numbers: [57, 23]
Generated Node #0,1,2: 10:[57, 23] Operation: 35-12=23
Exploring Operation: 57-12=45, Resulting Numbers: [35, 45]
Generated Node #0,1,3: 10:[35, 45] Operation: 57-12=45
Exploring Operation: 57+12=69, Resulting Numbers: [35, 69]
Generated Node #0,1,4: 10:[35, 69] Operation: 57+12=69
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 10:[12, 22], Operations: ['67-55=12', '57-35=22']
Exploring Operation: 22-12=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[57, 67, 35, 55], Operations: []
Exploring Operation: 67-55=12, Resulting Numbers: [57, 35, 12]
Generated Node #0,1: 10:[57, 35, 12] Operation: 67-55=12
Moving to Node #0,1
Current State: 10:[57, 35, 12], Operations: ['67-55=12']
Exploring Operation: 57-35=22, Resulting Numbers: [12, 22]
Generated Node #0,1,0: 10:[12, 22] Operation: 57-35=22
Moving to Node #0,1,0
Current State: 10:[12, 22], Operations: ['67-55=12', '57-35=22']
Exploring Operation: 22-12=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639
|
hs_5
|
sum_heuristic
|
[
62,
95,
64,
68
] | 41
|
[
"64-62=2",
"68*2=136",
"136-95=41"
] |
Current State: 41:[62, 95, 64, 68], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [95, 68, 2]
Generated Node #2: [95, 68, 2] from Operation: 64-62=2
Current State: 41:[95, 68, 2], Operations: ['64-62=2']
Exploring Operation: 68*2=136, Resulting Numbers: [95, 136]
Generated Node #3: [95, 136] from Operation: 68*2=136
Current State: 41:[95, 136], Operations: ['64-62=2', '68*2=136']
Exploring Operation: 136-95=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4
|
Current State: 41:[62, 95, 64, 68], Operations: []
Exploring Operation: 95-64=31, Resulting Numbers: [62, 68, 31]
Generated Node #0,0: 41:[62, 68, 31] Operation: 95-64=31
Exploring Operation: 68-64=4, Resulting Numbers: [62, 95, 4]
Generated Node #0,1: 41:[62, 95, 4] Operation: 68-64=4
Exploring Operation: 68-62=6, Resulting Numbers: [95, 64, 6]
Generated Node #0,2: 41:[95, 64, 6] Operation: 68-62=6
Exploring Operation: 95-68=27, Resulting Numbers: [62, 64, 27]
Generated Node #0,3: 41:[62, 64, 27] Operation: 95-68=27
Exploring Operation: 95-62=33, Resulting Numbers: [64, 68, 33]
Generated Node #0,4: 41:[64, 68, 33] Operation: 95-62=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[62, 68, 31], Operations: ['95-64=31']
Exploring Operation: 68-31=37, Resulting Numbers: [62, 37]
Generated Node #0,0,0: 41:[62, 37] Operation: 68-31=37
Exploring Operation: 62/31=2, Resulting Numbers: [68, 2]
Generated Node #0,0,1: 41:[68, 2] Operation: 62/31=2
Exploring Operation: 68-62=6, Resulting Numbers: [31, 6]
Generated Node #0,0,2: 41:[31, 6] Operation: 68-62=6
Exploring Operation: 62-31=31, Resulting Numbers: [68, 31]
Generated Node #0,0,3: 41:[68, 31] Operation: 62-31=31
Exploring Operation: 62+31=93, Resulting Numbers: [68, 93]
Generated Node #0,0,4: 41:[68, 93] Operation: 62+31=93
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 41:[62, 37], Operations: ['95-64=31', '68-31=37']
Exploring Operation: 62+37=99, Resulting Numbers: [99]
99,41 unequal: No Solution
Exploring Operation: 62*37=2294, Resulting Numbers: [2294]
2294,41 unequal: No Solution
Exploring Operation: 62-37=25, Resulting Numbers: [25]
25,41 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 #0,0,3
Current State: 41:[68, 31], Operations: ['95-64=31', '62-31=31']
Exploring Operation: 68-31=37, Resulting Numbers: [37]
37,41 unequal: No Solution
Exploring Operation: 68*31=2108, Resulting Numbers: [2108]
2108,41 unequal: No Solution
Exploring Operation: 68+31=99, Resulting Numbers: [99]
99,41 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 #0,0,2
Current State: 41:[31, 6], Operations: ['95-64=31', '68-62=6']
Exploring Operation: 31+6=37, Resulting Numbers: [37]
37,41 unequal: No Solution
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Exploring Operation: 31*6=186, Resulting Numbers: [186]
186,41 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 #0,0,1
Current State: 41:[68, 2], Operations: ['95-64=31', '62/31=2']
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,41 unequal: No Solution
Exploring Operation: 68*2=136, Resulting Numbers: [136]
136,41 unequal: No Solution
Exploring Operation: 68-2=66, Resulting Numbers: [66]
66,41 unequal: No Solution
Exploring Operation: 68+2=70, Resulting Numbers: [70]
70,41 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 #0,0,4
Current State: 41:[68, 93], Operations: ['95-64=31', '62+31=93']
Exploring Operation: 68+93=161, Resulting Numbers: [161]
161,41 unequal: No Solution
Exploring Operation: 93-68=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Exploring Operation: 68*93=6324, Resulting Numbers: [6324]
6324,41 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 #0,3
Current State: 41:[62, 64, 27], Operations: ['95-68=27']
Exploring Operation: 64-62=2, Resulting Numbers: [27, 2]
Generated Node #0,3,0: 41:[27, 2] Operation: 64-62=2
Exploring Operation: 64-27=37, Resulting Numbers: [62, 37]
Generated Node #0,3,1: 41:[62, 37] Operation: 64-27=37
Exploring Operation: 62-27=35, Resulting Numbers: [64, 35]
Generated Node #0,3,2: 41:[64, 35] Operation: 62-27=35
Exploring Operation: 64+27=91, Resulting Numbers: [62, 91]
Generated Node #0,3,3: 41:[62, 91] Operation: 64+27=91
Exploring Operation: 62+27=89, Resulting Numbers: [64, 89]
Generated Node #0,3,4: 41:[64, 89] Operation: 62+27=89
Moving to Node #0,3,1
Current State: 41:[62, 37], Operations: ['95-68=27', '64-27=37']
Exploring Operation: 62+37=99, Resulting Numbers: [99]
99,41 unequal: No Solution
Exploring Operation: 62*37=2294, Resulting Numbers: [2294]
2294,41 unequal: No Solution
Exploring Operation: 62-37=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Moving to Node #0,3,2
Current State: 41:[64, 35], Operations: ['95-68=27', '62-27=35']
Exploring Operation: 64-35=29, Resulting Numbers: [29]
29,41 unequal: No Solution
Exploring Operation: 64+35=99, Resulting Numbers: [99]
99,41 unequal: No Solution
Exploring Operation: 64*35=2240, Resulting Numbers: [2240]
2240,41 unequal: No Solution
Moving to Node #0,3,0
Current State: 41:[27, 2], Operations: ['95-68=27', '64-62=2']
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,41 unequal: No Solution
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,41 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Moving to Node #0,3,3
Current State: 41:[62, 91], Operations: ['95-68=27', '64+27=91']
Exploring Operation: 62*91=5642, Resulting Numbers: [5642]
5642,41 unequal: No Solution
Exploring Operation: 62+91=153, Resulting Numbers: [153]
153,41 unequal: No Solution
Exploring Operation: 91-62=29, Resulting Numbers: [29]
29,41 unequal: No Solution
Moving to Node #0,3,4
Current State: 41:[64, 89], Operations: ['95-68=27', '62+27=89']
Exploring Operation: 64*89=5696, Resulting Numbers: [5696]
5696,41 unequal: No Solution
Exploring Operation: 89-64=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Exploring Operation: 64+89=153, Resulting Numbers: [153]
153,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 41:[64, 68, 33], Operations: ['95-62=33']
Exploring Operation: 68-64=4, Resulting Numbers: [33, 4]
Generated Node #0,4,0: 41:[33, 4] Operation: 68-64=4
Exploring Operation: 64+33=97, Resulting Numbers: [68, 97]
Generated Node #0,4,1: 41:[68, 97] Operation: 64+33=97
Exploring Operation: 68+33=101, Resulting Numbers: [64, 101]
Generated Node #0,4,2: 41:[64, 101] Operation: 68+33=101
Exploring Operation: 64-33=31, Resulting Numbers: [68, 31]
Generated Node #0,4,3: 41:[68, 31] Operation: 64-33=31
Exploring Operation: 68-33=35, Resulting Numbers: [64, 35]
Generated Node #0,4,4: 41:[64, 35] Operation: 68-33=35
Moving to Node #0,4,4
Current State: 41:[64, 35], Operations: ['95-62=33', '68-33=35']
Exploring Operation: 64+35=99, Resulting Numbers: [99]
99,41 unequal: No Solution
Exploring Operation: 64-35=29, Resulting Numbers: [29]
29,41 unequal: No Solution
Exploring Operation: 64*35=2240, Resulting Numbers: [2240]
2240,41 unequal: No Solution
Moving to Node #0,4,3
Current State: 41:[68, 31], Operations: ['95-62=33', '64-33=31']
Exploring Operation: 68+31=99, Resulting Numbers: [99]
99,41 unequal: No Solution
Exploring Operation: 68-31=37, Resulting Numbers: [37]
37,41 unequal: No Solution
Exploring Operation: 68*31=2108, Resulting Numbers: [2108]
2108,41 unequal: No Solution
Moving to Node #0,4,0
Current State: 41:[33, 4], Operations: ['95-62=33', '68-64=4']
Exploring Operation: 33+4=37, Resulting Numbers: [37]
37,41 unequal: No Solution
Exploring Operation: 33*4=132, Resulting Numbers: [132]
132,41 unequal: No Solution
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,41 unequal: No Solution
Moving to Node #0,4,1
Current State: 41:[68, 97], Operations: ['95-62=33', '64+33=97']
Exploring Operation: 97-68=29, Resulting Numbers: [29]
29,41 unequal: No Solution
Exploring Operation: 68+97=165, Resulting Numbers: [165]
165,41 unequal: No Solution
Exploring Operation: 68*97=6596, Resulting Numbers: [6596]
6596,41 unequal: No Solution
Moving to Node #0,4,2
Current State: 41:[64, 101], Operations: ['95-62=33', '68+33=101']
Exploring Operation: 101-64=37, Resulting Numbers: [37]
37,41 unequal: No Solution
Exploring Operation: 64*101=6464, Resulting Numbers: [6464]
6464,41 unequal: No Solution
Exploring Operation: 64+101=165, Resulting Numbers: [165]
165,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 41:[62, 95, 4], Operations: ['68-64=4']
Exploring Operation: 62+4=66, Resulting Numbers: [95, 66]
Generated Node #0,1,0: 41:[95, 66] Operation: 62+4=66
Exploring Operation: 95-4=91, Resulting Numbers: [62, 91]
Generated Node #0,1,1: 41:[62, 91] Operation: 95-4=91
Exploring Operation: 95-62=33, Resulting Numbers: [4, 33]
Generated Node #0,1,2: 41:[4, 33] Operation: 95-62=33
Exploring Operation: 95+4=99, Resulting Numbers: [62, 99]
Generated Node #0,1,3: 41:[62, 99] Operation: 95+4=99
Exploring Operation: 62-4=58, Resulting Numbers: [95, 58]
Generated Node #0,1,4: 41:[95, 58] Operation: 62-4=58
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 41:[4, 33], Operations: ['68-64=4', '95-62=33']
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,41 unequal: No Solution
Exploring Operation: 4*33=132, Resulting Numbers: [132]
132,41 unequal: No Solution
Exploring Operation: 4+33=37, Resulting Numbers: [37]
37,41 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:[62, 91], Operations: ['68-64=4', '95-4=91']
Exploring Operation: 62+91=153, Resulting Numbers: [153]
153,41 unequal: No Solution
Exploring Operation: 91-62=29, Resulting Numbers: [29]
29,41 unequal: No Solution
Exploring Operation: 62*91=5642, Resulting Numbers: [5642]
5642,41 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:[95, 58], Operations: ['68-64=4', '62-4=58']
Exploring Operation: 95-58=37, Resulting Numbers: [37]
37,41 unequal: No Solution
Exploring Operation: 95+58=153, Resulting Numbers: [153]
153,41 unequal: No Solution
Exploring Operation: 95*58=5510, Resulting Numbers: [5510]
5510,41 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:[95, 66], Operations: ['68-64=4', '62+4=66']
Exploring Operation: 95*66=6270, Resulting Numbers: [6270]
6270,41 unequal: No Solution
Exploring Operation: 95-66=29, Resulting Numbers: [29]
29,41 unequal: No Solution
Exploring Operation: 95+66=161, Resulting Numbers: [161]
161,41 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 #0,1,3
Current State: 41:[62, 99], Operations: ['68-64=4', '95+4=99']
Exploring Operation: 99-62=37, Resulting Numbers: [37]
37,41 unequal: No Solution
Exploring Operation: 62+99=161, Resulting Numbers: [161]
161,41 unequal: No Solution
Exploring Operation: 62*99=6138, Resulting Numbers: [6138]
6138,41 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 #0,2
Current State: 41:[95, 64, 6], Operations: ['68-62=6']
Exploring Operation: 95-6=89, Resulting Numbers: [64, 89]
Generated Node #0,2,0: 41:[64, 89] Operation: 95-6=89
Exploring Operation: 95+6=101, Resulting Numbers: [64, 101]
Generated Node #0,2,1: 41:[64, 101] Operation: 95+6=101
Exploring Operation: 64-6=58, Resulting Numbers: [95, 58]
Generated Node #0,2,2: 41:[95, 58] Operation: 64-6=58
Exploring Operation: 95-64=31, Resulting Numbers: [6, 31]
Generated Node #0,2,3: 41:[6, 31] Operation: 95-64=31
Exploring Operation: 64+6=70, Resulting Numbers: [95, 70]
Generated Node #0,2,4: 41:[95, 70] Operation: 64+6=70
Moving to Node #0,2,3
Current State: 41:[6, 31], Operations: ['68-62=6', '95-64=31']
Exploring Operation: 6+31=37, Resulting Numbers: [37]
37,41 unequal: No Solution
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Exploring Operation: 6*31=186, Resulting Numbers: [186]
186,41 unequal: No Solution
Moving to Node #0,2,2
Current State: 41:[95, 58], Operations: ['68-62=6', '64-6=58']
Exploring Operation: 95-58=37, Resulting Numbers: [37]
37,41 unequal: No Solution
Exploring Operation: 95*58=5510, Resulting Numbers: [5510]
5510,41 unequal: No Solution
Exploring Operation: 95+58=153, Resulting Numbers: [153]
153,41 unequal: No Solution
Moving to Node #0,2,0
Current State: 41:[64, 89], Operations: ['68-62=6', '95-6=89']
Exploring Operation: 64*89=5696, Resulting Numbers: [5696]
5696,41 unequal: No Solution
Exploring Operation: 89-64=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Exploring Operation: 64+89=153, Resulting Numbers: [153]
153,41 unequal: No Solution
Moving to Node #0,2,1
Current State: 41:[64, 101], Operations: ['68-62=6', '95+6=101']
Exploring Operation: 64*101=6464, Resulting Numbers: [6464]
6464,41 unequal: No Solution
Exploring Operation: 101-64=37, Resulting Numbers: [37]
37,41 unequal: No Solution
Exploring Operation: 64+101=165, Resulting Numbers: [165]
165,41 unequal: No Solution
Moving to Node #0,2,4
Current State: 41:[95, 70], Operations: ['68-62=6', '64+6=70']
Exploring Operation: 95*70=6650, Resulting Numbers: [6650]
6650,41 unequal: No Solution
Exploring Operation: 95-70=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Exploring Operation: 95+70=165, Resulting Numbers: [165]
165,41 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
|
[
17,
57,
69,
10
] | 39
|
[
"57-17=40",
"69+10=79",
"79-40=39"
] |
Current State: 39:[17, 57, 69, 10], Operations: []
Exploring Operation: 57-17=40, Resulting Numbers: [69, 10, 40]
Generated Node #2: [69, 10, 40] from Operation: 57-17=40
Current State: 39:[69, 10, 40], Operations: ['57-17=40']
Exploring Operation: 69+10=79, Resulting Numbers: [40, 79]
Generated Node #3: [40, 79] from Operation: 69+10=79
Current State: 39:[40, 79], Operations: ['57-17=40', '69+10=79']
Exploring Operation: 79-40=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4
|
Current State: 39:[17, 57, 69, 10], Operations: []
Exploring Operation: 57-17=40, Resulting Numbers: [69, 10, 40]
Generated Node #0,0: 39:[69, 10, 40] Operation: 57-17=40
Exploring Operation: 69-57=12, Resulting Numbers: [17, 10, 12]
Generated Node #0,1: 39:[17, 10, 12] Operation: 69-57=12
Exploring Operation: 69-17=52, Resulting Numbers: [57, 10, 52]
Generated Node #0,2: 39:[57, 10, 52] Operation: 69-17=52
Moving to Node #0,1
Current State: 39:[17, 10, 12], Operations: ['69-57=12']
Exploring Operation: 17-10=7, Resulting Numbers: [12, 7]
Generated Node #0,1,0: 39:[12, 7] Operation: 17-10=7
Exploring Operation: 12-10=2, Resulting Numbers: [17, 2]
Generated Node #0,1,1: 39:[17, 2] Operation: 12-10=2
Exploring Operation: 17-12=5, Resulting Numbers: [10, 5]
Generated Node #0,1,2: 39:[10, 5] Operation: 17-12=5
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 39:[12, 7], Operations: ['69-57=12', '17-10=7']
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,39 unequal: No Solution
Exploring Operation: 12+7=19, Resulting Numbers: [19]
19,39 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:[17, 2], Operations: ['69-57=12', '12-10=2']
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,39 unequal: No Solution
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,39 unequal: No Solution
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,39 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:[10, 5], Operations: ['69-57=12', '17-12=5']
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 10+5=15, Resulting Numbers: [15]
15,39 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: 39:[69, 10, 40], Operations: ['57-17=40']
Exploring Operation: 40/10=4, Resulting Numbers: [69, 4]
Generated Node #0,0,0: 39:[69, 4] Operation: 40/10=4
Exploring Operation: 69-40=29, Resulting Numbers: [10, 29]
Generated Node #0,0,1: 39:[10, 29] Operation: 69-40=29
Exploring Operation: 69-10=59, Resulting Numbers: [40, 59]
Generated Node #0,0,2: 39:[40, 59] Operation: 69-10=59
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 39:[10, 29], Operations: ['57-17=40', '69-40=29']
Exploring Operation: 10*29=290, Resulting Numbers: [290]
290,39 unequal: No Solution
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,39 unequal: No Solution
Exploring Operation: 10+29=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[17, 57, 69, 10], Operations: []
Exploring Operation: 57-17=40, Resulting Numbers: [69, 10, 40]
Generated Node #0,0: 39:[69, 10, 40] Operation: 57-17=40
Moving to Node #0,0
Current State: 39:[69, 10, 40], Operations: ['57-17=40']
Exploring Operation: 69-40=29, Resulting Numbers: [10, 29]
Generated Node #0,0,1: 39:[10, 29] Operation: 69-40=29
Moving to Node #0,0,1
Current State: 39:[10, 29], Operations: ['57-17=40', '69-40=29']
Exploring Operation: 10+29=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299
|
hs_3
|
sum_heuristic
|
[
49,
90,
38,
13
] | 66
|
[
"90-49=41",
"38-13=25",
"41+25=66"
] |
Current State: 66:[49, 90, 38, 13], Operations: []
Exploring Operation: 90-49=41, Resulting Numbers: [38, 13, 41]
Generated Node #2: [38, 13, 41] from Operation: 90-49=41
Current State: 66:[38, 13, 41], Operations: ['90-49=41']
Exploring Operation: 38-13=25, Resulting Numbers: [41, 25]
Generated Node #3: [41, 25] from Operation: 38-13=25
Current State: 66:[41, 25], Operations: ['90-49=41', '38-13=25']
Exploring Operation: 41+25=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4
|
Current State: 66:[49, 90, 38, 13], Operations: []
Exploring Operation: 90-49=41, Resulting Numbers: [38, 13, 41]
Generated Node #0,0: 66:[38, 13, 41] Operation: 90-49=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[38, 13, 41], Operations: ['90-49=41']
Exploring Operation: 41-38=3, Resulting Numbers: [13, 3]
Generated Node #0,0,0: 66:[13, 3] Operation: 41-38=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 66:[13, 3], Operations: ['90-49=41', '41-38=3']
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
58,
31,
30,
2
] | 31
|
[
"58/2=29",
"30-29=1",
"31*1=31"
] |
Current State: 31:[58, 31, 30, 2], Operations: []
Exploring Operation: 58/2=29, Resulting Numbers: [31, 30, 29]
Generated Node #2: [31, 30, 29] from Operation: 58/2=29
Current State: 31:[31, 30, 29], Operations: ['58/2=29']
Exploring Operation: 30-29=1, Resulting Numbers: [31, 1]
Generated Node #3: [31, 1] from Operation: 30-29=1
Current State: 31:[31, 1], Operations: ['58/2=29', '30-29=1']
Exploring Operation: 31*1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4
|
Current State: 31:[58, 31, 30, 2], Operations: []
Exploring Operation: 58/2=29, Resulting Numbers: [31, 30, 29]
Generated Node #0,0: 31:[31, 30, 29] Operation: 58/2=29
Exploring Operation: 58-2=56, Resulting Numbers: [31, 30, 56]
Generated Node #0,1: 31:[31, 30, 56] Operation: 58-2=56
Moving to Node #0,0
Current State: 31:[31, 30, 29], Operations: ['58/2=29']
Exploring Operation: 31+29=60, Resulting Numbers: [30, 60]
Generated Node #0,0,0: 31:[30, 60] Operation: 31+29=60
Exploring Operation: 30+29=59, Resulting Numbers: [31, 59]
Generated Node #0,0,1: 31:[31, 59] Operation: 30+29=59
Moving to Node #0,1
Current State: 31:[31, 30, 56], Operations: ['58-2=56']
Exploring Operation: 56-30=26, Resulting Numbers: [31, 26]
Generated Node #0,1,0: 31:[31, 26] Operation: 56-30=26
Exploring Operation: 56-31=25, Resulting Numbers: [30, 25]
Generated Node #0,1,1: 31:[30, 25] Operation: 56-31=25
Moving to Node #0,1,0
Current State: 31:[31, 26], Operations: ['58-2=56', '56-30=26']
Exploring Operation: 31-26=5, Resulting Numbers: [5]
5,31 unequal: No Solution
Exploring Operation: 31+26=57, Resulting Numbers: [57]
57,31 unequal: No Solution
Moving to Node #0,1,1
Current State: 31:[30, 25], Operations: ['58-2=56', '56-31=25']
Exploring Operation: 30-25=5, Resulting Numbers: [5]
5,31 unequal: No Solution
Exploring Operation: 30+25=55, Resulting Numbers: [55]
55,31 unequal: No Solution
Moving to Node #0,0,1
Current State: 31:[31, 59], Operations: ['58/2=29', '30+29=59']
Exploring Operation: 59-31=28, Resulting Numbers: [28]
28,31 unequal: No Solution
Exploring Operation: 31+59=90, Resulting Numbers: [90]
90,31 unequal: No Solution
Moving to Node #0,0,0
Current State: 31:[30, 60], Operations: ['58/2=29', '31+29=60']
Exploring Operation: 60-30=30, Resulting Numbers: [30]
30,31 unequal: No Solution
Exploring Operation: 60/30=2, Resulting Numbers: [2]
2,31 unequal: No Solution
No solution found.
| 0
|
hs_2
|
sum_heuristic
|
[
20,
55,
55,
99
] | 78
|
[
"99-20=79",
"55/55=1",
"79-1=78"
] |
Current State: 78:[20, 55, 55, 99], Operations: []
Exploring Operation: 99-20=79, Resulting Numbers: [55, 55, 79]
Generated Node #2: [55, 55, 79] from Operation: 99-20=79
Current State: 78:[55, 55, 79], Operations: ['99-20=79']
Exploring Operation: 55/55=1, Resulting Numbers: [79, 1]
Generated Node #3: [79, 1] from Operation: 55/55=1
Current State: 78:[79, 1], Operations: ['99-20=79', '55/55=1']
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4
|
Current State: 78:[20, 55, 55, 99], Operations: []
Exploring Operation: 99-55=44, Resulting Numbers: [20, 55, 44]
Generated Node #0,0: 78:[20, 55, 44] Operation: 99-55=44
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[20, 55, 44], Operations: ['99-55=44']
Exploring Operation: 20+55=75, Resulting Numbers: [44, 75]
Generated Node #0,0,0: 78:[44, 75] Operation: 20+55=75
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 78:[44, 75], Operations: ['99-55=44', '20+55=75']
Exploring Operation: 75-44=31, Resulting Numbers: [31]
31,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
42,
70,
78,
7
] | 83
|
[
"42/7=6",
"78/6=13",
"70+13=83"
] |
Current State: 83:[42, 70, 78, 7], Operations: []
Exploring Operation: 42/7=6, Resulting Numbers: [70, 78, 6]
Generated Node #2: [70, 78, 6] from Operation: 42/7=6
Current State: 83:[70, 78, 6], Operations: ['42/7=6']
Exploring Operation: 78/6=13, Resulting Numbers: [70, 13]
Generated Node #3: [70, 13] from Operation: 78/6=13
Current State: 83:[70, 13], Operations: ['42/7=6', '78/6=13']
Exploring Operation: 70+13=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4
|
Current State: 83:[42, 70, 78, 7], Operations: []
Exploring Operation: 70-7=63, Resulting Numbers: [42, 78, 63]
Generated Node #0,0: 83:[42, 78, 63] Operation: 70-7=63
Exploring Operation: 78+7=85, Resulting Numbers: [42, 70, 85]
Generated Node #0,1: 83:[42, 70, 85] Operation: 78+7=85
Exploring Operation: 42+7=49, Resulting Numbers: [70, 78, 49]
Generated Node #0,2: 83:[70, 78, 49] Operation: 42+7=49
Exploring Operation: 70+7=77, Resulting Numbers: [42, 78, 77]
Generated Node #0,3: 83:[42, 78, 77] Operation: 70+7=77
Exploring Operation: 42-7=35, Resulting Numbers: [70, 78, 35]
Generated Node #0,4: 83:[70, 78, 35] Operation: 42-7=35
Moving to Node #0,2
Current State: 83:[70, 78, 49], Operations: ['42+7=49']
Exploring Operation: 70+49=119, Resulting Numbers: [78, 119]
Generated Node #0,2,0: 83:[78, 119] Operation: 70+49=119
Exploring Operation: 70-49=21, Resulting Numbers: [78, 21]
Generated Node #0,2,1: 83:[78, 21] Operation: 70-49=21
Exploring Operation: 70+78=148, Resulting Numbers: [49, 148]
Generated Node #0,2,2: 83:[49, 148] Operation: 70+78=148
Exploring Operation: 78-49=29, Resulting Numbers: [70, 29]
Generated Node #0,2,3: 83:[70, 29] Operation: 78-49=29
Exploring Operation: 78+49=127, Resulting Numbers: [70, 127]
Generated Node #0,2,4: 83:[70, 127] Operation: 78+49=127
Moving to Node #0,3
Current State: 83:[42, 78, 77], Operations: ['70+7=77']
Exploring Operation: 42+77=119, Resulting Numbers: [78, 119]
Generated Node #0,3,0: 83:[78, 119] Operation: 42+77=119
Exploring Operation: 78-42=36, Resulting Numbers: [77, 36]
Generated Node #0,3,1: 83:[77, 36] Operation: 78-42=36
Exploring Operation: 77-42=35, Resulting Numbers: [78, 35]
Generated Node #0,3,2: 83:[78, 35] Operation: 77-42=35
Exploring Operation: 78+77=155, Resulting Numbers: [42, 155]
Generated Node #0,3,3: 83:[42, 155] Operation: 78+77=155
Exploring Operation: 42+78=120, Resulting Numbers: [77, 120]
Generated Node #0,3,4: 83:[77, 120] Operation: 42+78=120
Moving to Node #0,1
Current State: 83:[42, 70, 85], Operations: ['78+7=85']
Exploring Operation: 42+70=112, Resulting Numbers: [85, 112]
Generated Node #0,1,0: 83:[85, 112] Operation: 42+70=112
Exploring Operation: 85-70=15, Resulting Numbers: [42, 15]
Generated Node #0,1,1: 83:[42, 15] Operation: 85-70=15
Exploring Operation: 42+85=127, Resulting Numbers: [70, 127]
Generated Node #0,1,2: 83:[70, 127] Operation: 42+85=127
Exploring Operation: 70-42=28, Resulting Numbers: [85, 28]
Generated Node #0,1,3: 83:[85, 28] Operation: 70-42=28
Exploring Operation: 85-42=43, Resulting Numbers: [70, 43]
Generated Node #0,1,4: 83:[70, 43] Operation: 85-42=43
Moving to Node #0,0
Current State: 83:[42, 78, 63], Operations: ['70-7=63']
Exploring Operation: 42+78=120, Resulting Numbers: [63, 120]
Generated Node #0,0,0: 83:[63, 120] Operation: 42+78=120
Exploring Operation: 63-42=21, Resulting Numbers: [78, 21]
Generated Node #0,0,1: 83:[78, 21] Operation: 63-42=21
Exploring Operation: 78+63=141, Resulting Numbers: [42, 141]
Generated Node #0,0,2: 83:[42, 141] Operation: 78+63=141
Exploring Operation: 42+63=105, Resulting Numbers: [78, 105]
Generated Node #0,0,3: 83:[78, 105] Operation: 42+63=105
Exploring Operation: 78-42=36, Resulting Numbers: [63, 36]
Generated Node #0,0,4: 83:[63, 36] Operation: 78-42=36
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 83:[78, 105], Operations: ['70-7=63', '42+63=105']
Exploring Operation: 105-78=27, Resulting Numbers: [27]
27,83 unequal: No Solution
Exploring Operation: 78*105=8190, Resulting Numbers: [8190]
8190,83 unequal: No Solution
Exploring Operation: 78+105=183, Resulting Numbers: [183]
183,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 83:[63, 120], Operations: ['70-7=63', '42+78=120']
Exploring Operation: 120-63=57, Resulting Numbers: [57]
57,83 unequal: No Solution
Exploring Operation: 63*120=7560, Resulting Numbers: [7560]
7560,83 unequal: No Solution
Exploring Operation: 63+120=183, Resulting Numbers: [183]
183,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 83:[78, 21], Operations: ['70-7=63', '63-42=21']
Exploring Operation: 78+21=99, Resulting Numbers: [99]
99,83 unequal: No Solution
Exploring Operation: 78*21=1638, Resulting Numbers: [1638]
1638,83 unequal: No Solution
Exploring Operation: 78-21=57, Resulting Numbers: [57]
57,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 83:[63, 36], Operations: ['70-7=63', '78-42=36']
Exploring Operation: 63+36=99, Resulting Numbers: [99]
99,83 unequal: No Solution
Exploring Operation: 63*36=2268, Resulting Numbers: [2268]
2268,83 unequal: No Solution
Exploring Operation: 63-36=27, Resulting Numbers: [27]
27,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 83:[42, 141], Operations: ['70-7=63', '78+63=141']
Exploring Operation: 42+141=183, Resulting Numbers: [183]
183,83 unequal: No Solution
Exploring Operation: 141-42=99, Resulting Numbers: [99]
99,83 unequal: No Solution
Exploring Operation: 42*141=5922, Resulting Numbers: [5922]
5922,83 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: 83:[70, 78, 35], Operations: ['42-7=35']
Exploring Operation: 70+35=105, Resulting Numbers: [78, 105]
Generated Node #0,4,0: 83:[78, 105] Operation: 70+35=105
Exploring Operation: 78-35=43, Resulting Numbers: [70, 43]
Generated Node #0,4,1: 83:[70, 43] Operation: 78-35=43
Exploring Operation: 70-35=35, Resulting Numbers: [78, 35]
Generated Node #0,4,2: 83:[78, 35] Operation: 70-35=35
Exploring Operation: 70/35=2, Resulting Numbers: [78, 2]
Generated Node #0,4,3: 83:[78, 2] Operation: 70/35=2
Exploring Operation: 78+35=113, Resulting Numbers: [70, 113]
Generated Node #0,4,4: 83:[70, 113] Operation: 78+35=113
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 83:[78, 105], Operations: ['42-7=35', '70+35=105']
Exploring Operation: 105-78=27, Resulting Numbers: [27]
27,83 unequal: No Solution
Exploring Operation: 78+105=183, Resulting Numbers: [183]
183,83 unequal: No Solution
Exploring Operation: 78*105=8190, Resulting Numbers: [8190]
8190,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 83:[70, 113], Operations: ['42-7=35', '78+35=113']
Exploring Operation: 113-70=43, Resulting Numbers: [43]
43,83 unequal: No Solution
Exploring Operation: 70+113=183, Resulting Numbers: [183]
183,83 unequal: No Solution
Exploring Operation: 70*113=7910, Resulting Numbers: [7910]
7910,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 83:[70, 43], Operations: ['42-7=35', '78-35=43']
Exploring Operation: 70*43=3010, Resulting Numbers: [3010]
3010,83 unequal: No Solution
Exploring Operation: 70-43=27, Resulting Numbers: [27]
27,83 unequal: No Solution
Exploring Operation: 70+43=113, Resulting Numbers: [113]
113,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 83:[78, 35], Operations: ['42-7=35', '70-35=35']
Exploring Operation: 78+35=113, Resulting Numbers: [113]
113,83 unequal: No Solution
Exploring Operation: 78-35=43, Resulting Numbers: [43]
43,83 unequal: No Solution
Exploring Operation: 78*35=2730, Resulting Numbers: [2730]
2730,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 83:[78, 2], Operations: ['42-7=35', '70/35=2']
Exploring Operation: 78*2=156, Resulting Numbers: [156]
156,83 unequal: No Solution
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,83 unequal: No Solution
Exploring Operation: 78+2=80, Resulting Numbers: [80]
80,83 unequal: No Solution
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,83 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: 83:[85, 112], Operations: ['78+7=85', '42+70=112']
Exploring Operation: 112-85=27, Resulting Numbers: [27]
27,83 unequal: No Solution
Exploring Operation: 85*112=9520, Resulting Numbers: [9520]
9520,83 unequal: No Solution
Exploring Operation: 85+112=197, Resulting Numbers: [197]
197,83 unequal: No Solution
Moving to Node #0,3,0
Current State: 83:[78, 119], Operations: ['70+7=77', '42+77=119']
Exploring Operation: 119-78=41, Resulting Numbers: [41]
41,83 unequal: No Solution
Exploring Operation: 78*119=9282, Resulting Numbers: [9282]
9282,83 unequal: No Solution
Exploring Operation: 78+119=197, Resulting Numbers: [197]
197,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[78, 119], Operations: ['42+7=49', '70+49=119']
Exploring Operation: 78*119=9282, Resulting Numbers: [9282]
9282,83 unequal: No Solution
Exploring Operation: 119-78=41, Resulting Numbers: [41]
41,83 unequal: No Solution
Exploring Operation: 78+119=197, Resulting Numbers: [197]
197,83 unequal: No Solution
Moving to Node #0,3,4
Current State: 83:[77, 120], Operations: ['70+7=77', '42+78=120']
Exploring Operation: 77*120=9240, Resulting Numbers: [9240]
9240,83 unequal: No Solution
Exploring Operation: 77+120=197, Resulting Numbers: [197]
197,83 unequal: No Solution
Exploring Operation: 120-77=43, Resulting Numbers: [43]
43,83 unequal: No Solution
Moving to Node #0,1,4
Current State: 83:[70, 43], Operations: ['78+7=85', '85-42=43']
Exploring Operation: 70*43=3010, Resulting Numbers: [3010]
3010,83 unequal: No Solution
Exploring Operation: 70-43=27, Resulting Numbers: [27]
27,83 unequal: No Solution
Exploring Operation: 70+43=113, Resulting Numbers: [113]
113,83 unequal: No Solution
Moving to Node #0,3,1
Current State: 83:[77, 36], Operations: ['70+7=77', '78-42=36']
Exploring Operation: 77*36=2772, Resulting Numbers: [2772]
2772,83 unequal: No Solution
Exploring Operation: 77+36=113, Resulting Numbers: [113]
113,83 unequal: No Solution
Exploring Operation: 77-36=41, Resulting Numbers: [41]
41,83 unequal: No Solution
Moving to Node #0,3,2
Current State: 83:[78, 35], Operations: ['70+7=77', '77-42=35']
Exploring Operation: 78*35=2730, Resulting Numbers: [2730]
2730,83 unequal: No Solution
Exploring Operation: 78+35=113, Resulting Numbers: [113]
113,83 unequal: No Solution
Exploring Operation: 78-35=43, Resulting Numbers: [43]
43,83 unequal: No Solution
Moving to Node #0,1,3
Current State: 83:[85, 28], Operations: ['78+7=85', '70-42=28']
Exploring Operation: 85-28=57, Resulting Numbers: [57]
57,83 unequal: No Solution
Exploring Operation: 85*28=2380, Resulting Numbers: [2380]
2380,83 unequal: No Solution
Exploring Operation: 85+28=113, Resulting Numbers: [113]
113,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[70, 127], Operations: ['78+7=85', '42+85=127']
Exploring Operation: 70*127=8890, Resulting Numbers: [8890]
8890,83 unequal: No Solution
Exploring Operation: 70+127=197, Resulting Numbers: [197]
197,83 unequal: No Solution
Exploring Operation: 127-70=57, Resulting Numbers: [57]
57,83 unequal: No Solution
Moving to Node #0,2,4
Current State: 83:[70, 127], Operations: ['42+7=49', '78+49=127']
Exploring Operation: 70+127=197, Resulting Numbers: [197]
197,83 unequal: No Solution
Exploring Operation: 127-70=57, Resulting Numbers: [57]
57,83 unequal: No Solution
Exploring Operation: 70*127=8890, Resulting Numbers: [8890]
8890,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[78, 21], Operations: ['42+7=49', '70-49=21']
Exploring Operation: 78-21=57, Resulting Numbers: [57]
57,83 unequal: No Solution
Exploring Operation: 78*21=1638, Resulting Numbers: [1638]
1638,83 unequal: No Solution
Exploring Operation: 78+21=99, Resulting Numbers: [99]
99,83 unequal: No Solution
Moving to Node #0,2,3
Current State: 83:[70, 29], Operations: ['42+7=49', '78-49=29']
Exploring Operation: 70+29=99, Resulting Numbers: [99]
99,83 unequal: No Solution
Exploring Operation: 70*29=2030, Resulting Numbers: [2030]
2030,83 unequal: No Solution
Exploring Operation: 70-29=41, Resulting Numbers: [41]
41,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[49, 148], Operations: ['42+7=49', '70+78=148']
Exploring Operation: 148-49=99, Resulting Numbers: [99]
99,83 unequal: No Solution
Exploring Operation: 49*148=7252, Resulting Numbers: [7252]
7252,83 unequal: No Solution
Exploring Operation: 49+148=197, Resulting Numbers: [197]
197,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[42, 15], Operations: ['78+7=85', '85-70=15']
Exploring Operation: 42+15=57, Resulting Numbers: [57]
57,83 unequal: No Solution
Exploring Operation: 42-15=27, Resulting Numbers: [27]
27,83 unequal: No Solution
Exploring Operation: 42*15=630, Resulting Numbers: [630]
630,83 unequal: No Solution
Moving to Node #0,3,3
Current State: 83:[42, 155], Operations: ['70+7=77', '78+77=155']
Exploring Operation: 155-42=113, Resulting Numbers: [113]
113,83 unequal: No Solution
Exploring Operation: 42+155=197, Resulting Numbers: [197]
197,83 unequal: No Solution
Exploring Operation: 42*155=6510, Resulting Numbers: [6510]
6510,83 unequal: No Solution
No solution found.
| 0
|
hs_5
|
sum_heuristic
|
[
69,
79,
56,
67
] | 64
|
[
"79-56=23",
"69/23=3",
"67-3=64"
] |
Current State: 64:[69, 79, 56, 67], Operations: []
Exploring Operation: 79-56=23, Resulting Numbers: [69, 67, 23]
Generated Node #2: [69, 67, 23] from Operation: 79-56=23
Current State: 64:[69, 67, 23], Operations: ['79-56=23']
Exploring Operation: 69/23=3, Resulting Numbers: [67, 3]
Generated Node #3: [67, 3] from Operation: 69/23=3
Current State: 64:[67, 3], Operations: ['79-56=23', '69/23=3']
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4
|
Current State: 64:[69, 79, 56, 67], Operations: []
Exploring Operation: 79-69=10, Resulting Numbers: [56, 67, 10]
Generated Node #0,0: 64:[56, 67, 10] Operation: 79-69=10
Exploring Operation: 79-56=23, Resulting Numbers: [69, 67, 23]
Generated Node #0,1: 64:[69, 67, 23] Operation: 79-56=23
Exploring Operation: 69-56=13, Resulting Numbers: [79, 67, 13]
Generated Node #0,2: 64:[79, 67, 13] Operation: 69-56=13
Exploring Operation: 69-67=2, Resulting Numbers: [79, 56, 2]
Generated Node #0,3: 64:[79, 56, 2] Operation: 69-67=2
Exploring Operation: 79-67=12, Resulting Numbers: [69, 56, 12]
Generated Node #0,4: 64:[69, 56, 12] Operation: 79-67=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[56, 67, 10], Operations: ['79-69=10']
Exploring Operation: 67+10=77, Resulting Numbers: [56, 77]
Generated Node #0,0,0: 64:[56, 77] Operation: 67+10=77
Exploring Operation: 56-10=46, Resulting Numbers: [67, 46]
Generated Node #0,0,1: 64:[67, 46] Operation: 56-10=46
Exploring Operation: 56+10=66, Resulting Numbers: [67, 66]
Generated Node #0,0,2: 64:[67, 66] Operation: 56+10=66
Exploring Operation: 67-10=57, Resulting Numbers: [56, 57]
Generated Node #0,0,3: 64:[56, 57] Operation: 67-10=57
Exploring Operation: 67-56=11, Resulting Numbers: [10, 11]
Generated Node #0,0,4: 64:[10, 11] Operation: 67-56=11
Moving to Node #0,0,2
Current State: 64:[67, 66], Operations: ['79-69=10', '56+10=66']
Exploring Operation: 67-66=1, Resulting Numbers: [1]
1,64 unequal: No Solution
Exploring Operation: 67+66=133, Resulting Numbers: [133]
133,64 unequal: No Solution
Exploring Operation: 67*66=4422, Resulting Numbers: [4422]
4422,64 unequal: No Solution
Moving to Node #0,0,4
Current State: 64:[10, 11], Operations: ['79-69=10', '67-56=11']
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,64 unequal: No Solution
Exploring Operation: 10*11=110, Resulting Numbers: [110]
110,64 unequal: No Solution
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,64 unequal: No Solution
Moving to Node #0,0,3
Current State: 64:[56, 57], Operations: ['79-69=10', '67-10=57']
Exploring Operation: 56*57=3192, Resulting Numbers: [3192]
3192,64 unequal: No Solution
Exploring Operation: 57-56=1, Resulting Numbers: [1]
1,64 unequal: No Solution
Exploring Operation: 56+57=113, Resulting Numbers: [113]
113,64 unequal: No Solution
Moving to Node #0,0,1
Current State: 64:[67, 46], Operations: ['79-69=10', '56-10=46']
Exploring Operation: 67*46=3082, Resulting Numbers: [3082]
3082,64 unequal: No Solution
Exploring Operation: 67+46=113, Resulting Numbers: [113]
113,64 unequal: No Solution
Exploring Operation: 67-46=21, Resulting Numbers: [21]
21,64 unequal: No Solution
Moving to Node #0,0,0
Current State: 64:[56, 77], Operations: ['79-69=10', '67+10=77']
Exploring Operation: 56+77=133, Resulting Numbers: [133]
133,64 unequal: No Solution
Exploring Operation: 56*77=4312, Resulting Numbers: [4312]
4312,64 unequal: No Solution
Exploring Operation: 77-56=21, Resulting Numbers: [21]
21,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[69, 67, 23], Operations: ['79-56=23']
Exploring Operation: 69+23=92, Resulting Numbers: [67, 92]
Generated Node #0,1,0: 64:[67, 92] Operation: 69+23=92
Exploring Operation: 67-23=44, Resulting Numbers: [69, 44]
Generated Node #0,1,1: 64:[69, 44] Operation: 67-23=44
Exploring Operation: 69/23=3, Resulting Numbers: [67, 3]
Generated Node #0,1,2: 64:[67, 3] Operation: 69/23=3
Exploring Operation: 69-23=46, Resulting Numbers: [67, 46]
Generated Node #0,1,3: 64:[67, 46] Operation: 69-23=46
Exploring Operation: 69-67=2, Resulting Numbers: [23, 2]
Generated Node #0,1,4: 64:[23, 2] Operation: 69-67=2
Moving to Node #0,1,2
Current State: 64:[67, 3], Operations: ['79-56=23', '69/23=3']
Exploring Operation: 67*3=201, Resulting Numbers: [201]
201,64 unequal: No Solution
Exploring Operation: 67+3=70, Resulting Numbers: [70]
70,64 unequal: No Solution
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[69, 79, 56, 67], Operations: []
Exploring Operation: 79-56=23, Resulting Numbers: [69, 67, 23]
Generated Node #0,1: 64:[69, 67, 23] Operation: 79-56=23
Moving to Node #0,1
Current State: 64:[69, 67, 23], Operations: ['79-56=23']
Exploring Operation: 69/23=3, Resulting Numbers: [67, 3]
Generated Node #0,1,2: 64:[67, 3] Operation: 69/23=3
Moving to Node #0,1,2
Current State: 64:[67, 3], Operations: ['79-56=23', '69/23=3']
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.967882
|
hs_5
|
mult_heuristic
|
[
95,
26,
93,
70
] | 46
|
[
"95-26=69",
"93-70=23",
"69-23=46"
] |
Current State: 46:[95, 26, 93, 70], Operations: []
Exploring Operation: 95-26=69, Resulting Numbers: [93, 70, 69]
Generated Node #2: [93, 70, 69] from Operation: 95-26=69
Current State: 46:[93, 70, 69], Operations: ['95-26=69']
Exploring Operation: 93-70=23, Resulting Numbers: [69, 23]
Generated Node #3: [69, 23] from Operation: 93-70=23
Current State: 46:[69, 23], Operations: ['95-26=69', '93-70=23']
Exploring Operation: 69-23=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4
|
Current State: 46:[95, 26, 93, 70], Operations: []
Exploring Operation: 95-70=25, Resulting Numbers: [26, 93, 25]
Generated Node #0,0: 46:[26, 93, 25] Operation: 95-70=25
Exploring Operation: 93-70=23, Resulting Numbers: [95, 26, 23]
Generated Node #0,1: 46:[95, 26, 23] Operation: 93-70=23
Exploring Operation: 95-26=69, Resulting Numbers: [93, 70, 69]
Generated Node #0,2: 46:[93, 70, 69] Operation: 95-26=69
Exploring Operation: 93-26=67, Resulting Numbers: [95, 70, 67]
Generated Node #0,3: 46:[95, 70, 67] Operation: 93-26=67
Exploring Operation: 95-93=2, Resulting Numbers: [26, 70, 2]
Generated Node #0,4: 46:[26, 70, 2] Operation: 95-93=2
Start Sub Search at level 1: Moving to Node #0,4
Current State: 46:[26, 70, 2], Operations: ['95-93=2']
Exploring Operation: 70/2=35, Resulting Numbers: [26, 35]
Generated Node #0,4,0: 46:[26, 35] Operation: 70/2=35
Exploring Operation: 26-2=24, Resulting Numbers: [70, 24]
Generated Node #0,4,1: 46:[70, 24] Operation: 26-2=24
Exploring Operation: 70-2=68, Resulting Numbers: [26, 68]
Generated Node #0,4,2: 46:[26, 68] Operation: 70-2=68
Exploring Operation: 26+2=28, Resulting Numbers: [70, 28]
Generated Node #0,4,3: 46:[70, 28] Operation: 26+2=28
Exploring Operation: 70-26=44, Resulting Numbers: [2, 44]
Generated Node #0,4,4: 46:[2, 44] Operation: 70-26=44
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 46:[2, 44], Operations: ['95-93=2', '70-26=44']
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[95, 26, 93, 70], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [26, 70, 2]
Generated Node #0,4: 46:[26, 70, 2] Operation: 95-93=2
Moving to Node #0,4
Current State: 46:[26, 70, 2], Operations: ['95-93=2']
Exploring Operation: 70-26=44, Resulting Numbers: [2, 44]
Generated Node #0,4,4: 46:[2, 44] Operation: 70-26=44
Moving to Node #0,4,4
Current State: 46:[2, 44], Operations: ['95-93=2', '70-26=44']
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979
|
hs_5
|
mult_heuristic
|
[
42,
46,
5,
6
] | 54
|
[
"46-42=4",
"5+4=9",
"6*9=54"
] |
Current State: 54:[42, 46, 5, 6], Operations: []
Exploring Operation: 46-42=4, Resulting Numbers: [5, 6, 4]
Generated Node #2: [5, 6, 4] from Operation: 46-42=4
Current State: 54:[5, 6, 4], Operations: ['46-42=4']
Exploring Operation: 5+4=9, Resulting Numbers: [6, 9]
Generated Node #3: [6, 9] from Operation: 5+4=9
Current State: 54:[6, 9], Operations: ['46-42=4', '5+4=9']
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4
|
Current State: 54:[42, 46, 5, 6], Operations: []
Exploring Operation: 46+5=51, Resulting Numbers: [42, 6, 51]
Generated Node #0,0: 54:[42, 6, 51] Operation: 46+5=51
Exploring Operation: 42+6=48, Resulting Numbers: [46, 5, 48]
Generated Node #0,1: 54:[46, 5, 48] Operation: 42+6=48
Exploring Operation: 42+5=47, Resulting Numbers: [46, 6, 47]
Generated Node #0,2: 54:[46, 6, 47] Operation: 42+5=47
Exploring Operation: 46-42=4, Resulting Numbers: [5, 6, 4]
Generated Node #0,3: 54:[5, 6, 4] Operation: 46-42=4
Exploring Operation: 42/6=7, Resulting Numbers: [46, 5, 7]
Generated Node #0,4: 54:[46, 5, 7] Operation: 42/6=7
Moving to Node #0,3
Current State: 54:[5, 6, 4], Operations: ['46-42=4']
Exploring Operation: 6-4=2, Resulting Numbers: [5, 2]
Generated Node #0,3,0: 54:[5, 2] Operation: 6-4=2
Exploring Operation: 5*4=20, Resulting Numbers: [6, 20]
Generated Node #0,3,1: 54:[6, 20] Operation: 5*4=20
Exploring Operation: 5+4=9, Resulting Numbers: [6, 9]
Generated Node #0,3,2: 54:[6, 9] Operation: 5+4=9
Exploring Operation: 6-5=1, Resulting Numbers: [4, 1]
Generated Node #0,3,3: 54:[4, 1] Operation: 6-5=1
Exploring Operation: 5-4=1, Resulting Numbers: [6, 1]
Generated Node #0,3,4: 54:[6, 1] Operation: 5-4=1
Moving to Node #0,4
Current State: 54:[46, 5, 7], Operations: ['42/6=7']
Exploring Operation: 46-7=39, Resulting Numbers: [5, 39]
Generated Node #0,4,0: 54:[5, 39] Operation: 46-7=39
Exploring Operation: 46+5=51, Resulting Numbers: [7, 51]
Generated Node #0,4,1: 54:[7, 51] Operation: 46+5=51
Exploring Operation: 5+7=12, Resulting Numbers: [46, 12]
Generated Node #0,4,2: 54:[46, 12] Operation: 5+7=12
Exploring Operation: 46+7=53, Resulting Numbers: [5, 53]
Generated Node #0,4,3: 54:[5, 53] Operation: 46+7=53
Exploring Operation: 7-5=2, Resulting Numbers: [46, 2]
Generated Node #0,4,4: 54:[46, 2] Operation: 7-5=2
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 54:[5, 53], Operations: ['42/6=7', '46+7=53']
Exploring Operation: 5*53=265, Resulting Numbers: [265]
265,54 unequal: No Solution
Exploring Operation: 5+53=58, Resulting Numbers: [58]
58,54 unequal: No Solution
Exploring Operation: 53-5=48, Resulting Numbers: [48]
48,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 54:[7, 51], Operations: ['42/6=7', '46+5=51']
Exploring Operation: 7+51=58, Resulting Numbers: [58]
58,54 unequal: No Solution
Exploring Operation: 7*51=357, Resulting Numbers: [357]
357,54 unequal: No Solution
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 54:[46, 2], Operations: ['42/6=7', '7-5=2']
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,54 unequal: No Solution
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,54 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,54 unequal: No Solution
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 54:[46, 12], Operations: ['42/6=7', '5+7=12']
Exploring Operation: 46*12=552, Resulting Numbers: [552]
552,54 unequal: No Solution
Exploring Operation: 46+12=58, Resulting Numbers: [58]
58,54 unequal: No Solution
Exploring Operation: 46-12=34, Resulting Numbers: [34]
34,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 54:[5, 39], Operations: ['42/6=7', '46-7=39']
Exploring Operation: 5*39=195, Resulting Numbers: [195]
195,54 unequal: No Solution
Exploring Operation: 5+39=44, Resulting Numbers: [44]
44,54 unequal: No Solution
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,54 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: 54:[42, 6, 51], Operations: ['46+5=51']
Exploring Operation: 42+6=48, Resulting Numbers: [51, 48]
Generated Node #0,0,0: 54:[51, 48] Operation: 42+6=48
Exploring Operation: 42/6=7, Resulting Numbers: [51, 7]
Generated Node #0,0,1: 54:[51, 7] Operation: 42/6=7
Exploring Operation: 51-42=9, Resulting Numbers: [6, 9]
Generated Node #0,0,2: 54:[6, 9] Operation: 51-42=9
Exploring Operation: 42-6=36, Resulting Numbers: [51, 36]
Generated Node #0,0,3: 54:[51, 36] Operation: 42-6=36
Exploring Operation: 6+51=57, Resulting Numbers: [42, 57]
Generated Node #0,0,4: 54:[42, 57] Operation: 6+51=57
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 54:[6, 9], Operations: ['46+5=51', '51-42=9']
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[42, 46, 5, 6], Operations: []
Exploring Operation: 46+5=51, Resulting Numbers: [42, 6, 51]
Generated Node #0,0: 54:[42, 6, 51] Operation: 46+5=51
Moving to Node #0,0
Current State: 54:[42, 6, 51], Operations: ['46+5=51']
Exploring Operation: 51-42=9, Resulting Numbers: [6, 9]
Generated Node #0,0,2: 54:[6, 9] Operation: 51-42=9
Moving to Node #0,0,2
Current State: 54:[6, 9], Operations: ['46+5=51', '51-42=9']
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542
|
hs_5
|
mult_heuristic
|
[
36,
78,
61,
9
] | 10
|
[
"78-36=42",
"61-9=52",
"52-42=10"
] |
Current State: 10:[36, 78, 61, 9], Operations: []
Exploring Operation: 78-36=42, Resulting Numbers: [61, 9, 42]
Generated Node #2: [61, 9, 42] from Operation: 78-36=42
Current State: 10:[61, 9, 42], Operations: ['78-36=42']
Exploring Operation: 61-9=52, Resulting Numbers: [42, 52]
Generated Node #3: [42, 52] from Operation: 61-9=52
Current State: 10:[42, 52], Operations: ['78-36=42', '61-9=52']
Exploring Operation: 52-42=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4
|
Current State: 10:[36, 78, 61, 9], Operations: []
Exploring Operation: 78-61=17, Resulting Numbers: [36, 9, 17]
Generated Node #0,0: 10:[36, 9, 17] Operation: 78-61=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[36, 9, 17], Operations: ['78-61=17']
Exploring Operation: 36/9=4, Resulting Numbers: [17, 4]
Generated Node #0,0,0: 10:[17, 4] Operation: 36/9=4
Moving to Node #0,0,0
Current State: 10:[17, 4], Operations: ['78-61=17', '36/9=4']
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,10 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
|
[
97,
71,
74,
9
] | 100
|
[
"74-71=3",
"9/3=3",
"97+3=100"
] |
Current State: 100:[97, 71, 74, 9], Operations: []
Exploring Operation: 74-71=3, Resulting Numbers: [97, 9, 3]
Generated Node #2: [97, 9, 3] from Operation: 74-71=3
Current State: 100:[97, 9, 3], Operations: ['74-71=3']
Exploring Operation: 9/3=3, Resulting Numbers: [97, 3]
Generated Node #3: [97, 3] from Operation: 9/3=3
Current State: 100:[97, 3], Operations: ['74-71=3', '9/3=3']
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4
|
Current State: 100:[97, 71, 74, 9], Operations: []
Exploring Operation: 97-74=23, Resulting Numbers: [71, 9, 23]
Generated Node #0,0: 100:[71, 9, 23] Operation: 97-74=23
Exploring Operation: 97-71=26, Resulting Numbers: [74, 9, 26]
Generated Node #0,1: 100:[74, 9, 26] Operation: 97-71=26
Exploring Operation: 74-71=3, Resulting Numbers: [97, 9, 3]
Generated Node #0,2: 100:[97, 9, 3] Operation: 74-71=3
Moving to Node #0,2
Current State: 100:[97, 9, 3], Operations: ['74-71=3']
Exploring Operation: 97+3=100, Resulting Numbers: [9, 100]
Generated Node #0,2,0: 100:[9, 100] Operation: 97+3=100
Exploring Operation: 9/3=3, Resulting Numbers: [97, 3]
Generated Node #0,2,1: 100:[97, 3] Operation: 9/3=3
Exploring Operation: 9-3=6, Resulting Numbers: [97, 6]
Generated Node #0,2,2: 100:[97, 6] Operation: 9-3=6
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 100:[9, 100], Operations: ['74-71=3', '97+3=100']
Exploring Operation: 9+100=109, Resulting Numbers: [109]
109,100 unequal: No Solution
Exploring Operation: 100-9=91, Resulting Numbers: [91]
91,100 unequal: No Solution
Exploring Operation: 9*100=900, Resulting Numbers: [900]
900,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 100:[97, 3], Operations: ['74-71=3', '9/3=3']
Exploring Operation: 97*3=291, Resulting Numbers: [291]
291,100 unequal: No Solution
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[97, 71, 74, 9], Operations: []
Exploring Operation: 74-71=3, Resulting Numbers: [97, 9, 3]
Generated Node #0,2: 100:[97, 9, 3] Operation: 74-71=3
Moving to Node #0,2
Current State: 100:[97, 9, 3], Operations: ['74-71=3']
Exploring Operation: 9/3=3, Resulting Numbers: [97, 3]
Generated Node #0,2,1: 100:[97, 3] Operation: 9/3=3
Moving to Node #0,2,1
Current State: 100:[97, 3], Operations: ['74-71=3', '9/3=3']
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979
|
hs_3
|
mult_heuristic
|
[
58,
47,
60,
5
] | 99
|
[
"60-58=2",
"47*2=94",
"5+94=99"
] |
Current State: 99:[58, 47, 60, 5], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [47, 5, 2]
Generated Node #2: [47, 5, 2] from Operation: 60-58=2
Current State: 99:[47, 5, 2], Operations: ['60-58=2']
Exploring Operation: 47*2=94, Resulting Numbers: [5, 94]
Generated Node #3: [5, 94] from Operation: 47*2=94
Current State: 99:[5, 94], Operations: ['60-58=2', '47*2=94']
Exploring Operation: 5+94=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4
|
Current State: 99:[58, 47, 60, 5], Operations: []
Exploring Operation: 58+47=105, Resulting Numbers: [60, 5, 105]
Generated Node #0,0: 99:[60, 5, 105] Operation: 58+47=105
Exploring Operation: 60-58=2, Resulting Numbers: [47, 5, 2]
Generated Node #0,1: 99:[47, 5, 2] Operation: 60-58=2
Exploring Operation: 60-47=13, Resulting Numbers: [58, 5, 13]
Generated Node #0,2: 99:[58, 5, 13] Operation: 60-47=13
Exploring Operation: 58-47=11, Resulting Numbers: [60, 5, 11]
Generated Node #0,3: 99:[60, 5, 11] Operation: 58-47=11
Moving to Node #0,1
Current State: 99:[47, 5, 2], Operations: ['60-58=2']
Exploring Operation: 47*2=94, Resulting Numbers: [5, 94]
Generated Node #0,1,0: 99:[5, 94] Operation: 47*2=94
Exploring Operation: 47-2=45, Resulting Numbers: [5, 45]
Generated Node #0,1,1: 99:[5, 45] Operation: 47-2=45
Exploring Operation: 47-5=42, Resulting Numbers: [2, 42]
Generated Node #0,1,2: 99:[2, 42] Operation: 47-5=42
Exploring Operation: 5-2=3, Resulting Numbers: [47, 3]
Generated Node #0,1,3: 99:[47, 3] Operation: 5-2=3
Moving to Node #0,3
Current State: 99:[60, 5, 11], Operations: ['58-47=11']
Exploring Operation: 60-5=55, Resulting Numbers: [11, 55]
Generated Node #0,3,0: 99:[11, 55] Operation: 60-5=55
Exploring Operation: 60+11=71, Resulting Numbers: [5, 71]
Generated Node #0,3,1: 99:[5, 71] Operation: 60+11=71
Exploring Operation: 60-11=49, Resulting Numbers: [5, 49]
Generated Node #0,3,2: 99:[5, 49] Operation: 60-11=49
Exploring Operation: 60/5=12, Resulting Numbers: [11, 12]
Generated Node #0,3,3: 99:[11, 12] Operation: 60/5=12
Moving to Node #0,2
Current State: 99:[58, 5, 13], Operations: ['60-47=13']
Exploring Operation: 58-5=53, Resulting Numbers: [13, 53]
Generated Node #0,2,0: 99:[13, 53] Operation: 58-5=53
Exploring Operation: 58+13=71, Resulting Numbers: [5, 71]
Generated Node #0,2,1: 99:[5, 71] Operation: 58+13=71
Exploring Operation: 13-5=8, Resulting Numbers: [58, 8]
Generated Node #0,2,2: 99:[58, 8] Operation: 13-5=8
Exploring Operation: 58-13=45, Resulting Numbers: [5, 45]
Generated Node #0,2,3: 99:[5, 45] Operation: 58-13=45
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 99:[5, 45], Operations: ['60-47=13', '58-13=45']
Exploring Operation: 45/5=9, Resulting Numbers: [9]
9,99 unequal: No Solution
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,99 unequal: No Solution
Exploring Operation: 5*45=225, Resulting Numbers: [225]
225,99 unequal: No Solution
Exploring Operation: 5+45=50, Resulting Numbers: [50]
50,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 99:[13, 53], Operations: ['60-47=13', '58-5=53']
Exploring Operation: 53-13=40, Resulting Numbers: [40]
40,99 unequal: No Solution
Exploring Operation: 13*53=689, Resulting Numbers: [689]
689,99 unequal: No Solution
Exploring Operation: 13+53=66, Resulting Numbers: [66]
66,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 99:[58, 8], Operations: ['60-47=13', '13-5=8']
Exploring Operation: 58+8=66, Resulting Numbers: [66]
66,99 unequal: No Solution
Exploring Operation: 58-8=50, Resulting Numbers: [50]
50,99 unequal: No Solution
Exploring Operation: 58*8=464, Resulting Numbers: [464]
464,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 99:[5, 71], Operations: ['60-47=13', '58+13=71']
Exploring Operation: 71-5=66, Resulting Numbers: [66]
66,99 unequal: No Solution
Exploring Operation: 5*71=355, Resulting Numbers: [355]
355,99 unequal: No Solution
Exploring Operation: 5+71=76, Resulting Numbers: [76]
76,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 99:[60, 5, 105], Operations: ['58+47=105']
Exploring Operation: 105-5=100, Resulting Numbers: [60, 100]
Generated Node #0,0,0: 99:[60, 100] Operation: 105-5=100
Exploring Operation: 60/5=12, Resulting Numbers: [105, 12]
Generated Node #0,0,1: 99:[105, 12] Operation: 60/5=12
Exploring Operation: 60-5=55, Resulting Numbers: [105, 55]
Generated Node #0,0,2: 99:[105, 55] Operation: 60-5=55
Exploring Operation: 105-60=45, Resulting Numbers: [5, 45]
Generated Node #0,0,3: 99:[5, 45] Operation: 105-60=45
Moving to Node #0,3,3
Current State: 99:[11, 12], Operations: ['58-47=11', '60/5=12']
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,99 unequal: No Solution
Exploring Operation: 11+12=23, Resulting Numbers: [23]
23,99 unequal: No Solution
Exploring Operation: 11*12=132, Resulting Numbers: [132]
132,99 unequal: No Solution
Moving to Node #0,1,0
Current State: 99:[5, 94], Operations: ['60-58=2', '47*2=94']
Exploring Operation: 5*94=470, Resulting Numbers: [470]
470,99 unequal: No Solution
Exploring Operation: 94-5=89, Resulting Numbers: [89]
89,99 unequal: No Solution
Exploring Operation: 5+94=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[58, 47, 60, 5], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [47, 5, 2]
Generated Node #0,1: 99:[47, 5, 2] Operation: 60-58=2
Moving to Node #0,1
Current State: 99:[47, 5, 2], Operations: ['60-58=2']
Exploring Operation: 47*2=94, Resulting Numbers: [5, 94]
Generated Node #0,1,0: 99:[5, 94] Operation: 47*2=94
Moving to Node #0,1,0
Current State: 99:[5, 94], Operations: ['60-58=2', '47*2=94']
Exploring Operation: 5+94=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 0.962674
|
hs_4
|
mult_heuristic
|
[
92,
97,
4,
94
] | 20
|
[
"92/4=23",
"97-94=3",
"23-3=20"
] |
Current State: 20:[92, 97, 4, 94], Operations: []
Exploring Operation: 92/4=23, Resulting Numbers: [97, 94, 23]
Generated Node #2: [97, 94, 23] from Operation: 92/4=23
Current State: 20:[97, 94, 23], Operations: ['92/4=23']
Exploring Operation: 97-94=3, Resulting Numbers: [23, 3]
Generated Node #3: [23, 3] from Operation: 97-94=3
Current State: 20:[23, 3], Operations: ['92/4=23', '97-94=3']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4
|
Current State: 20:[92, 97, 4, 94], Operations: []
Exploring Operation: 97-94=3, Resulting Numbers: [92, 4, 3]
Generated Node #0,0: 20:[92, 4, 3] Operation: 97-94=3
Exploring Operation: 94-92=2, Resulting Numbers: [97, 4, 2]
Generated Node #0,1: 20:[97, 4, 2] Operation: 94-92=2
Exploring Operation: 97-92=5, Resulting Numbers: [4, 94, 5]
Generated Node #0,2: 20:[4, 94, 5] Operation: 97-92=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[92, 4, 3], Operations: ['97-94=3']
Exploring Operation: 92-3=89, Resulting Numbers: [4, 89]
Generated Node #0,0,0: 20:[4, 89] Operation: 92-3=89
Exploring Operation: 92-4=88, Resulting Numbers: [3, 88]
Generated Node #0,0,1: 20:[3, 88] Operation: 92-4=88
Exploring Operation: 92/4=23, Resulting Numbers: [3, 23]
Generated Node #0,0,2: 20:[3, 23] Operation: 92/4=23
Moving to Node #0,0,2
Current State: 20:[3, 23], Operations: ['97-94=3', '92/4=23']
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,20 unequal: No Solution
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,20 unequal: No Solution
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[92, 97, 4, 94], Operations: []
Exploring Operation: 97-94=3, Resulting Numbers: [92, 4, 3]
Generated Node #0,0: 20:[92, 4, 3] Operation: 97-94=3
Moving to Node #0,0
Current State: 20:[92, 4, 3], Operations: ['97-94=3']
Exploring Operation: 92/4=23, Resulting Numbers: [3, 23]
Generated Node #0,0,2: 20:[3, 23] Operation: 92/4=23
Moving to Node #0,0,2
Current State: 20:[3, 23], Operations: ['97-94=3', '92/4=23']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715
|
hs_3
|
sum_heuristic
|
[
89,
84,
87,
49
] | 70
|
[
"89-87=2",
"84-49=35",
"2*35=70"
] |
Current State: 70:[89, 84, 87, 49], Operations: []
Exploring Operation: 89-87=2, Resulting Numbers: [84, 49, 2]
Generated Node #2: [84, 49, 2] from Operation: 89-87=2
Current State: 70:[84, 49, 2], Operations: ['89-87=2']
Exploring Operation: 84-49=35, Resulting Numbers: [2, 35]
Generated Node #3: [2, 35] from Operation: 84-49=35
Current State: 70:[2, 35], Operations: ['89-87=2', '84-49=35']
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4
|
Current State: 70:[89, 84, 87, 49], Operations: []
Exploring Operation: 89-87=2, Resulting Numbers: [84, 49, 2]
Generated Node #0,0: 70:[84, 49, 2] Operation: 89-87=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[84, 49, 2], Operations: ['89-87=2']
Exploring Operation: 84-49=35, Resulting Numbers: [2, 35]
Generated Node #0,0,0: 70:[2, 35] Operation: 84-49=35
Moving to Node #0,0,0
Current State: 70:[2, 35], Operations: ['89-87=2', '84-49=35']
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[89, 84, 87, 49], Operations: []
Exploring Operation: 89-87=2, Resulting Numbers: [84, 49, 2]
Generated Node #0,0: 70:[84, 49, 2] Operation: 89-87=2
Moving to Node #0,0
Current State: 70:[84, 49, 2], Operations: ['89-87=2']
Exploring Operation: 84-49=35, Resulting Numbers: [2, 35]
Generated Node #0,0,0: 70:[2, 35] Operation: 84-49=35
Moving to Node #0,0,0
Current State: 70:[2, 35], Operations: ['89-87=2', '84-49=35']
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
mult_heuristic
|
[
41,
70,
3,
93
] | 80
|
[
"41+70=111",
"93/3=31",
"111-31=80"
] |
Current State: 80:[41, 70, 3, 93], Operations: []
Exploring Operation: 41+70=111, Resulting Numbers: [3, 93, 111]
Generated Node #2: [3, 93, 111] from Operation: 41+70=111
Current State: 80:[3, 93, 111], Operations: ['41+70=111']
Exploring Operation: 93/3=31, Resulting Numbers: [111, 31]
Generated Node #3: [111, 31] from Operation: 93/3=31
Current State: 80:[111, 31], Operations: ['41+70=111', '93/3=31']
Exploring Operation: 111-31=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4
|
Current State: 80:[41, 70, 3, 93], Operations: []
Exploring Operation: 93-70=23, Resulting Numbers: [41, 3, 23]
Generated Node #0,0: 80:[41, 3, 23] Operation: 93-70=23
Exploring Operation: 93/3=31, Resulting Numbers: [41, 70, 31]
Generated Node #0,1: 80:[41, 70, 31] Operation: 93/3=31
Moving to Node #0,0
Current State: 80:[41, 3, 23], Operations: ['93-70=23']
Exploring Operation: 23-3=20, Resulting Numbers: [41, 20]
Generated Node #0,0,0: 80:[41, 20] Operation: 23-3=20
Exploring Operation: 41-23=18, Resulting Numbers: [3, 18]
Generated Node #0,0,1: 80:[3, 18] Operation: 41-23=18
Moving to Node #0,1
Current State: 80:[41, 70, 31], Operations: ['93/3=31']
Exploring Operation: 70-31=39, Resulting Numbers: [41, 39]
Generated Node #0,1,0: 80:[41, 39] Operation: 70-31=39
Exploring Operation: 41-31=10, Resulting Numbers: [70, 10]
Generated Node #0,1,1: 80:[70, 10] Operation: 41-31=10
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 80:[41, 39], Operations: ['93/3=31', '70-31=39']
Exploring Operation: 41-39=2, Resulting Numbers: [2]
2,80 unequal: No Solution
Exploring Operation: 41+39=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[41, 70, 3, 93], Operations: []
Exploring Operation: 93/3=31, Resulting Numbers: [41, 70, 31]
Generated Node #0,1: 80:[41, 70, 31] Operation: 93/3=31
Moving to Node #0,1
Current State: 80:[41, 70, 31], Operations: ['93/3=31']
Exploring Operation: 70-31=39, Resulting Numbers: [41, 39]
Generated Node #0,1,0: 80:[41, 39] Operation: 70-31=39
Moving to Node #0,1,0
Current State: 80:[41, 39], Operations: ['93/3=31', '70-31=39']
Exploring Operation: 41+39=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583
|
hs_2
|
sum_heuristic
|
[
43,
67,
21,
26
] | 85
|
[
"67*26=1742",
"43+1742=1785",
"1785/21=85"
] |
Current State: 85:[43, 67, 21, 26], Operations: []
Exploring Operation: 67*26=1742, Resulting Numbers: [43, 21, 1742]
Generated Node #2: [43, 21, 1742] from Operation: 67*26=1742
Current State: 85:[43, 21, 1742], Operations: ['67*26=1742']
Exploring Operation: 43+1742=1785, Resulting Numbers: [21, 1785]
Generated Node #3: [21, 1785] from Operation: 43+1742=1785
Current State: 85:[21, 1785], Operations: ['67*26=1742', '43+1742=1785']
Exploring Operation: 1785/21=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4
|
Current State: 85:[43, 67, 21, 26], Operations: []
Exploring Operation: 67-43=24, Resulting Numbers: [21, 26, 24]
Generated Node #0,0: 85:[21, 26, 24] Operation: 67-43=24
Exploring Operation: 43-21=22, Resulting Numbers: [67, 26, 22]
Generated Node #0,1: 85:[67, 26, 22] Operation: 43-21=22
Exploring Operation: 43+67=110, Resulting Numbers: [21, 26, 110]
Generated Node #0,2: 85:[21, 26, 110] Operation: 43+67=110
Exploring Operation: 43-26=17, Resulting Numbers: [67, 21, 17]
Generated Node #0,3: 85:[67, 21, 17] Operation: 43-26=17
Moving to Node #0,0
Current State: 85:[21, 26, 24], Operations: ['67-43=24']
Exploring Operation: 24-21=3, Resulting Numbers: [26, 3]
Generated Node #0,0,0: 85:[26, 3] Operation: 24-21=3
Exploring Operation: 26-24=2, Resulting Numbers: [21, 2]
Generated Node #0,0,1: 85:[21, 2] Operation: 26-24=2
Exploring Operation: 26-21=5, Resulting Numbers: [24, 5]
Generated Node #0,0,2: 85:[24, 5] Operation: 26-21=5
Exploring Operation: 21+26=47, Resulting Numbers: [24, 47]
Generated Node #0,0,3: 85:[24, 47] Operation: 21+26=47
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 85:[21, 2], Operations: ['67-43=24', '26-24=2']
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,85 unequal: No Solution
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,85 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,85 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 #0,0,2
Current State: 85:[24, 5], Operations: ['67-43=24', '26-21=5']
Exploring Operation: 24+5=29, Resulting Numbers: [29]
29,85 unequal: No Solution
Exploring Operation: 24*5=120, Resulting Numbers: [120]
120,85 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,85 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 #0,0,0
Current State: 85:[26, 3], Operations: ['67-43=24', '24-21=3']
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,85 unequal: No Solution
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,85 unequal: No Solution
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,85 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 #0,0,3
Current State: 85:[24, 47], Operations: ['67-43=24', '21+26=47']
Exploring Operation: 47-24=23, Resulting Numbers: [23]
23,85 unequal: No Solution
Exploring Operation: 24+47=71, Resulting Numbers: [71]
71,85 unequal: No Solution
Exploring Operation: 24*47=1128, Resulting Numbers: [1128]
1128,85 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: 85:[67, 21, 17], Operations: ['43-26=17']
Exploring Operation: 67-21=46, Resulting Numbers: [17, 46]
Generated Node #0,3,0: 85:[17, 46] Operation: 67-21=46
Exploring Operation: 67+21=88, Resulting Numbers: [17, 88]
Generated Node #0,3,1: 85:[17, 88] Operation: 67+21=88
Exploring Operation: 21-17=4, Resulting Numbers: [67, 4]
Generated Node #0,3,2: 85:[67, 4] Operation: 21-17=4
Exploring Operation: 67+17=84, Resulting Numbers: [21, 84]
Generated Node #0,3,3: 85:[21, 84] Operation: 67+17=84
Moving to Node #0,1
Current State: 85:[67, 26, 22], Operations: ['43-21=22']
Exploring Operation: 67-26=41, Resulting Numbers: [22, 41]
Generated Node #0,1,0: 85:[22, 41] Operation: 67-26=41
Exploring Operation: 26-22=4, Resulting Numbers: [67, 4]
Generated Node #0,1,1: 85:[67, 4] Operation: 26-22=4
Exploring Operation: 67+26=93, Resulting Numbers: [22, 93]
Generated Node #0,1,2: 85:[22, 93] Operation: 67+26=93
Exploring Operation: 67+22=89, Resulting Numbers: [26, 89]
Generated Node #0,1,3: 85:[26, 89] Operation: 67+22=89
Moving to Node #0,2
Current State: 85:[21, 26, 110], Operations: ['43+67=110']
Exploring Operation: 26-21=5, Resulting Numbers: [110, 5]
Generated Node #0,2,0: 85:[110, 5] Operation: 26-21=5
Exploring Operation: 110-26=84, Resulting Numbers: [21, 84]
Generated Node #0,2,1: 85:[21, 84] Operation: 110-26=84
Exploring Operation: 21+26=47, Resulting Numbers: [110, 47]
Generated Node #0,2,2: 85:[110, 47] Operation: 21+26=47
Exploring Operation: 110-21=89, Resulting Numbers: [26, 89]
Generated Node #0,2,3: 85:[26, 89] Operation: 110-21=89
Moving to Node #0,3,1
Current State: 85:[17, 88], Operations: ['43-26=17', '67+21=88']
Exploring Operation: 17+88=105, Resulting Numbers: [105]
105,85 unequal: No Solution
Exploring Operation: 88-17=71, Resulting Numbers: [71]
71,85 unequal: No Solution
Exploring Operation: 17*88=1496, Resulting Numbers: [1496]
1496,85 unequal: No Solution
Moving to Node #0,3,3
Current State: 85:[21, 84], Operations: ['43-26=17', '67+17=84']
Exploring Operation: 84/21=4, Resulting Numbers: [4]
4,85 unequal: No Solution
Exploring Operation: 21+84=105, Resulting Numbers: [105]
105,85 unequal: No Solution
Exploring Operation: 84-21=63, Resulting Numbers: [63]
63,85 unequal: No Solution
Exploring Operation: 21*84=1764, Resulting Numbers: [1764]
1764,85 unequal: No Solution
Moving to Node #0,2,1
Current State: 85:[21, 84], Operations: ['43+67=110', '110-26=84']
Exploring Operation: 84/21=4, Resulting Numbers: [4]
4,85 unequal: No Solution
Exploring Operation: 21+84=105, Resulting Numbers: [105]
105,85 unequal: No Solution
Exploring Operation: 84-21=63, Resulting Numbers: [63]
63,85 unequal: No Solution
Exploring Operation: 21*84=1764, Resulting Numbers: [1764]
1764,85 unequal: No Solution
Moving to Node #0,1,3
Current State: 85:[26, 89], Operations: ['43-21=22', '67+22=89']
Exploring Operation: 26*89=2314, Resulting Numbers: [2314]
2314,85 unequal: No Solution
Exploring Operation: 89-26=63, Resulting Numbers: [63]
63,85 unequal: No Solution
Exploring Operation: 26+89=115, Resulting Numbers: [115]
115,85 unequal: No Solution
Moving to Node #0,1,2
Current State: 85:[22, 93], Operations: ['43-21=22', '67+26=93']
Exploring Operation: 22+93=115, Resulting Numbers: [115]
115,85 unequal: No Solution
Exploring Operation: 93-22=71, Resulting Numbers: [71]
71,85 unequal: No Solution
Exploring Operation: 22*93=2046, Resulting Numbers: [2046]
2046,85 unequal: No Solution
Moving to Node #0,2,3
Current State: 85:[26, 89], Operations: ['43+67=110', '110-21=89']
Exploring Operation: 89-26=63, Resulting Numbers: [63]
63,85 unequal: No Solution
Exploring Operation: 26*89=2314, Resulting Numbers: [2314]
2314,85 unequal: No Solution
Exploring Operation: 26+89=115, Resulting Numbers: [115]
115,85 unequal: No Solution
Moving to Node #0,1,1
Current State: 85:[67, 4], Operations: ['43-21=22', '26-22=4']
Exploring Operation: 67-4=63, Resulting Numbers: [63]
63,85 unequal: No Solution
Exploring Operation: 67+4=71, Resulting Numbers: [71]
71,85 unequal: No Solution
Exploring Operation: 67*4=268, Resulting Numbers: [268]
268,85 unequal: No Solution
Moving to Node #0,3,2
Current State: 85:[67, 4], Operations: ['43-26=17', '21-17=4']
Exploring Operation: 67*4=268, Resulting Numbers: [268]
268,85 unequal: No Solution
Exploring Operation: 67-4=63, Resulting Numbers: [63]
63,85 unequal: No Solution
Exploring Operation: 67+4=71, Resulting Numbers: [71]
71,85 unequal: No Solution
Moving to Node #0,2,0
Current State: 85:[110, 5], Operations: ['43+67=110', '26-21=5']
Exploring Operation: 110-5=105, Resulting Numbers: [105]
105,85 unequal: No Solution
Exploring Operation: 110+5=115, Resulting Numbers: [115]
115,85 unequal: No Solution
Exploring Operation: 110/5=22, Resulting Numbers: [22]
22,85 unequal: No Solution
Exploring Operation: 110*5=550, Resulting Numbers: [550]
550,85 unequal: No Solution
Moving to Node #0,3,0
Current State: 85:[17, 46], Operations: ['43-26=17', '67-21=46']
Exploring Operation: 17+46=63, Resulting Numbers: [63]
63,85 unequal: No Solution
Exploring Operation: 46-17=29, Resulting Numbers: [29]
29,85 unequal: No Solution
Exploring Operation: 17*46=782, Resulting Numbers: [782]
782,85 unequal: No Solution
Moving to Node #0,1,0
Current State: 85:[22, 41], Operations: ['43-21=22', '67-26=41']
Exploring Operation: 41-22=19, Resulting Numbers: [19]
19,85 unequal: No Solution
Exploring Operation: 22+41=63, Resulting Numbers: [63]
63,85 unequal: No Solution
Exploring Operation: 22*41=902, Resulting Numbers: [902]
902,85 unequal: No Solution
Moving to Node #0,2,2
Current State: 85:[110, 47], Operations: ['43+67=110', '21+26=47']
Exploring Operation: 110*47=5170, Resulting Numbers: [5170]
5170,85 unequal: No Solution
Exploring Operation: 110+47=157, Resulting Numbers: [157]
157,85 unequal: No Solution
Exploring Operation: 110-47=63, Resulting Numbers: [63]
63,85 unequal: No Solution
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
[
96,
11,
12,
15
] | 48
|
[
"15-11=4",
"12*4=48",
"96-48=48"
] |
Current State: 48:[96, 11, 12, 15], Operations: []
Exploring Operation: 15-11=4, Resulting Numbers: [96, 12, 4]
Generated Node #2: [96, 12, 4] from Operation: 15-11=4
Current State: 48:[96, 12, 4], Operations: ['15-11=4']
Exploring Operation: 12*4=48, Resulting Numbers: [96, 48]
Generated Node #3: [96, 48] from Operation: 12*4=48
Current State: 48:[96, 48], Operations: ['15-11=4', '12*4=48']
Exploring Operation: 96-48=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4
|
Current State: 48:[96, 11, 12, 15], Operations: []
Exploring Operation: 96-15=81, Resulting Numbers: [11, 12, 81]
Generated Node #0,0: 48:[11, 12, 81] Operation: 96-15=81
Exploring Operation: 96/12=8, Resulting Numbers: [11, 15, 8]
Generated Node #0,1: 48:[11, 15, 8] Operation: 96/12=8
Moving to Node #0,1
Current State: 48:[11, 15, 8], Operations: ['96/12=8']
Exploring Operation: 11-8=3, Resulting Numbers: [15, 3]
Generated Node #0,1,0: 48:[15, 3] Operation: 11-8=3
Exploring Operation: 15-11=4, Resulting Numbers: [8, 4]
Generated Node #0,1,1: 48:[8, 4] Operation: 15-11=4
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 48:[8, 4], Operations: ['96/12=8', '15-11=4']
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,48 unequal: No Solution
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 48:[15, 3], Operations: ['96/12=8', '11-8=3']
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,48 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 48:[11, 12, 81], Operations: ['96-15=81']
Exploring Operation: 81-11=70, Resulting Numbers: [12, 70]
Generated Node #0,0,0: 48:[12, 70] Operation: 81-11=70
Exploring Operation: 81-12=69, Resulting Numbers: [11, 69]
Generated Node #0,0,1: 48:[11, 69] Operation: 81-12=69
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 48:[12, 70], Operations: ['96-15=81', '81-11=70']
Exploring Operation: 70-12=58, Resulting Numbers: [58]
58,48 unequal: No Solution
Exploring Operation: 12+70=82, Resulting Numbers: [82]
82,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 48:[11, 69], Operations: ['96-15=81', '81-12=69']
Exploring Operation: 11+69=80, Resulting Numbers: [80]
80,48 unequal: No Solution
Exploring Operation: 69-11=58, Resulting Numbers: [58]
58,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_2
|
sum_heuristic
|
[
39,
83,
21,
84
] | 73
|
[
"39*84=3276",
"3276/21=156",
"156-83=73"
] |
Current State: 73:[39, 83, 21, 84], Operations: []
Exploring Operation: 39*84=3276, Resulting Numbers: [83, 21, 3276]
Generated Node #2: [83, 21, 3276] from Operation: 39*84=3276
Current State: 73:[83, 21, 3276], Operations: ['39*84=3276']
Exploring Operation: 3276/21=156, Resulting Numbers: [83, 156]
Generated Node #3: [83, 156] from Operation: 3276/21=156
Current State: 73:[83, 156], Operations: ['39*84=3276', '3276/21=156']
Exploring Operation: 156-83=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4
|
Current State: 73:[39, 83, 21, 84], Operations: []
Exploring Operation: 84-21=63, Resulting Numbers: [39, 83, 63]
Generated Node #0,0: 73:[39, 83, 63] Operation: 84-21=63
Exploring Operation: 39+21=60, Resulting Numbers: [83, 84, 60]
Generated Node #0,1: 73:[83, 84, 60] Operation: 39+21=60
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[83, 84, 60], Operations: ['39+21=60']
Exploring Operation: 84-60=24, Resulting Numbers: [83, 24]
Generated Node #0,1,0: 73:[83, 24] Operation: 84-60=24
Exploring Operation: 83-60=23, Resulting Numbers: [84, 23]
Generated Node #0,1,1: 73:[84, 23] Operation: 83-60=23
Moving to Node #0,1,0
Current State: 73:[83, 24], Operations: ['39+21=60', '84-60=24']
Exploring Operation: 83-24=59, Resulting Numbers: [59]
59,73 unequal: No Solution
Exploring Operation: 83+24=107, Resulting Numbers: [107]
107,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[84, 23], Operations: ['39+21=60', '83-60=23']
Exploring Operation: 84-23=61, Resulting Numbers: [61]
61,73 unequal: No Solution
Exploring Operation: 84+23=107, Resulting Numbers: [107]
107,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[39, 83, 63], Operations: ['84-21=63']
Exploring Operation: 83-39=44, Resulting Numbers: [63, 44]
Generated Node #0,0,0: 73:[63, 44] Operation: 83-39=44
Exploring Operation: 39+63=102, Resulting Numbers: [83, 102]
Generated Node #0,0,1: 73:[83, 102] Operation: 39+63=102
Moving to Node #0,0,0
Current State: 73:[63, 44], Operations: ['84-21=63', '83-39=44']
Exploring Operation: 63-44=19, Resulting Numbers: [19]
19,73 unequal: No Solution
Exploring Operation: 63+44=107, Resulting Numbers: [107]
107,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[83, 102], Operations: ['84-21=63', '39+63=102']
Exploring Operation: 83+102=185, Resulting Numbers: [185]
185,73 unequal: No Solution
Exploring Operation: 102-83=19, Resulting Numbers: [19]
19,73 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
|
[
43,
53,
17,
10
] | 16
|
[
"53-43=10",
"10/10=1",
"17-1=16"
] |
Current State: 16:[43, 53, 17, 10], Operations: []
Exploring Operation: 53-43=10, Resulting Numbers: [17, 10, 10]
Generated Node #2: [17, 10, 10] from Operation: 53-43=10
Current State: 16:[17, 10, 10], Operations: ['53-43=10']
Exploring Operation: 10/10=1, Resulting Numbers: [17, 1]
Generated Node #3: [17, 1] from Operation: 10/10=1
Current State: 16:[17, 1], Operations: ['53-43=10', '10/10=1']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4
|
Current State: 16:[43, 53, 17, 10], Operations: []
Exploring Operation: 53-43=10, Resulting Numbers: [17, 10, 10]
Generated Node #0,0: 16:[17, 10, 10] Operation: 53-43=10
Exploring Operation: 43-17=26, Resulting Numbers: [53, 10, 26]
Generated Node #0,1: 16:[53, 10, 26] Operation: 43-17=26
Moving to Node #0,0
Current State: 16:[17, 10, 10], Operations: ['53-43=10']
Exploring Operation: 10/10=1, Resulting Numbers: [17, 1]
Generated Node #0,0,0: 16:[17, 1] Operation: 10/10=1
Exploring Operation: 17-10=7, Resulting Numbers: [10, 7]
Generated Node #0,0,1: 16:[10, 7] Operation: 17-10=7
Moving to Node #0,1
Current State: 16:[53, 10, 26], Operations: ['43-17=26']
Exploring Operation: 53-26=27, Resulting Numbers: [10, 27]
Generated Node #0,1,0: 16:[10, 27] Operation: 53-26=27
Exploring Operation: 53-10=43, Resulting Numbers: [26, 43]
Generated Node #0,1,1: 16:[26, 43] Operation: 53-10=43
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 16:[10, 27], Operations: ['43-17=26', '53-26=27']
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,16 unequal: No Solution
Exploring Operation: 10+27=37, Resulting Numbers: [37]
37,16 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 #0,1,1
Current State: 16:[26, 43], Operations: ['43-17=26', '53-10=43']
Exploring Operation: 43-26=17, Resulting Numbers: [17]
17,16 unequal: No Solution
Exploring Operation: 26+43=69, Resulting Numbers: [69]
69,16 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: 16:[17, 1], Operations: ['53-43=10', '10/10=1']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[43, 53, 17, 10], Operations: []
Exploring Operation: 53-43=10, Resulting Numbers: [17, 10, 10]
Generated Node #0,0: 16:[17, 10, 10] Operation: 53-43=10
Moving to Node #0,0
Current State: 16:[17, 10, 10], Operations: ['53-43=10']
Exploring Operation: 10/10=1, Resulting Numbers: [17, 1]
Generated Node #0,0,0: 16:[17, 1] Operation: 10/10=1
Moving to Node #0,0,0
Current State: 16:[17, 1], Operations: ['53-43=10', '10/10=1']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 0.986979
|
hs_2
|
mult_heuristic
|
[
50,
51,
11,
78
] | 53
|
[
"50-11=39",
"78/39=2",
"51+2=53"
] |
Current State: 53:[50, 51, 11, 78], Operations: []
Exploring Operation: 50-11=39, Resulting Numbers: [51, 78, 39]
Generated Node #2: [51, 78, 39] from Operation: 50-11=39
Current State: 53:[51, 78, 39], Operations: ['50-11=39']
Exploring Operation: 78/39=2, Resulting Numbers: [51, 2]
Generated Node #3: [51, 2] from Operation: 78/39=2
Current State: 53:[51, 2], Operations: ['50-11=39', '78/39=2']
Exploring Operation: 51+2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4
|
Current State: 53:[50, 51, 11, 78], Operations: []
Exploring Operation: 50+11=61, Resulting Numbers: [51, 78, 61]
Generated Node #0,0: 53:[51, 78, 61] Operation: 50+11=61
Exploring Operation: 51+11=62, Resulting Numbers: [50, 78, 62]
Generated Node #0,1: 53:[50, 78, 62] Operation: 51+11=62
Exploring Operation: 78-11=67, Resulting Numbers: [50, 51, 67]
Generated Node #0,2: 53:[50, 51, 67] Operation: 78-11=67
Moving to Node #0,2
Current State: 53:[50, 51, 67], Operations: ['78-11=67']
Exploring Operation: 67-50=17, Resulting Numbers: [51, 17]
Generated Node #0,2,0: 53:[51, 17] Operation: 67-50=17
Exploring Operation: 67-51=16, Resulting Numbers: [50, 16]
Generated Node #0,2,1: 53:[50, 16] Operation: 67-51=16
Exploring Operation: 50+51=101, Resulting Numbers: [67, 101]
Generated Node #0,2,2: 53:[67, 101] Operation: 50+51=101
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 53:[51, 17], Operations: ['78-11=67', '67-50=17']
Exploring Operation: 51/17=3, Resulting Numbers: [3]
3,53 unequal: No Solution
Exploring Operation: 51+17=68, Resulting Numbers: [68]
68,53 unequal: No Solution
Exploring Operation: 51-17=34, Resulting Numbers: [34]
34,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 53:[50, 16], Operations: ['78-11=67', '67-51=16']
Exploring Operation: 50*16=800, Resulting Numbers: [800]
800,53 unequal: No Solution
Exploring Operation: 50-16=34, Resulting Numbers: [34]
34,53 unequal: No Solution
Exploring Operation: 50+16=66, Resulting Numbers: [66]
66,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 53:[67, 101], Operations: ['78-11=67', '50+51=101']
Exploring Operation: 101-67=34, Resulting Numbers: [34]
34,53 unequal: No Solution
Exploring Operation: 67*101=6767, Resulting Numbers: [6767]
6767,53 unequal: No Solution
Exploring Operation: 67+101=168, Resulting Numbers: [168]
168,53 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: 53:[51, 78, 61], Operations: ['50+11=61']
Exploring Operation: 78-61=17, Resulting Numbers: [51, 17]
Generated Node #0,0,0: 53:[51, 17] Operation: 78-61=17
Exploring Operation: 78-51=27, Resulting Numbers: [61, 27]
Generated Node #0,0,1: 53:[61, 27] Operation: 78-51=27
Exploring Operation: 61-51=10, Resulting Numbers: [78, 10]
Generated Node #0,0,2: 53:[78, 10] Operation: 61-51=10
Moving to Node #0,1
Current State: 53:[50, 78, 62], Operations: ['51+11=62']
Exploring Operation: 78-62=16, Resulting Numbers: [50, 16]
Generated Node #0,1,0: 53:[50, 16] Operation: 78-62=16
Exploring Operation: 62-50=12, Resulting Numbers: [78, 12]
Generated Node #0,1,1: 53:[78, 12] Operation: 62-50=12
Exploring Operation: 78-50=28, Resulting Numbers: [62, 28]
Generated Node #0,1,2: 53:[62, 28] Operation: 78-50=28
Moving to Node #0,0,1
Current State: 53:[61, 27], Operations: ['50+11=61', '78-51=27']
Exploring Operation: 61*27=1647, Resulting Numbers: [1647]
1647,53 unequal: No Solution
Exploring Operation: 61-27=34, Resulting Numbers: [34]
34,53 unequal: No Solution
Exploring Operation: 61+27=88, Resulting Numbers: [88]
88,53 unequal: No Solution
Moving to Node #0,1,2
Current State: 53:[62, 28], Operations: ['51+11=62', '78-50=28']
Exploring Operation: 62*28=1736, Resulting Numbers: [1736]
1736,53 unequal: No Solution
Exploring Operation: 62-28=34, Resulting Numbers: [34]
34,53 unequal: No Solution
Exploring Operation: 62+28=90, Resulting Numbers: [90]
90,53 unequal: No Solution
Moving to Node #0,0,0
Current State: 53:[51, 17], Operations: ['50+11=61', '78-61=17']
Exploring Operation: 51/17=3, Resulting Numbers: [3]
3,53 unequal: No Solution
Exploring Operation: 51+17=68, Resulting Numbers: [68]
68,53 unequal: No Solution
Exploring Operation: 51-17=34, Resulting Numbers: [34]
34,53 unequal: No Solution
Moving to Node #0,1,0
Current State: 53:[50, 16], Operations: ['51+11=62', '78-62=16']
Exploring Operation: 50+16=66, Resulting Numbers: [66]
66,53 unequal: No Solution
Exploring Operation: 50*16=800, Resulting Numbers: [800]
800,53 unequal: No Solution
Exploring Operation: 50-16=34, Resulting Numbers: [34]
34,53 unequal: No Solution
Moving to Node #0,1,1
Current State: 53:[78, 12], Operations: ['51+11=62', '62-50=12']
Exploring Operation: 78-12=66, Resulting Numbers: [66]
66,53 unequal: No Solution
Exploring Operation: 78+12=90, Resulting Numbers: [90]
90,53 unequal: No Solution
Exploring Operation: 78*12=936, Resulting Numbers: [936]
936,53 unequal: No Solution
Moving to Node #0,0,2
Current State: 53:[78, 10], Operations: ['50+11=61', '61-51=10']
Exploring Operation: 78+10=88, Resulting Numbers: [88]
88,53 unequal: No Solution
Exploring Operation: 78*10=780, Resulting Numbers: [780]
780,53 unequal: No Solution
Exploring Operation: 78-10=68, Resulting Numbers: [68]
68,53 unequal: No Solution
No solution found.
| 0
|
hs_3
|
mult_heuristic
|
[
58,
29,
70,
35
] | 27
|
[
"58-29=29",
"70/35=2",
"29-2=27"
] |
Current State: 27:[58, 29, 70, 35], Operations: []
Exploring Operation: 58-29=29, Resulting Numbers: [70, 35, 29]
Generated Node #2: [70, 35, 29] from Operation: 58-29=29
Current State: 27:[70, 35, 29], Operations: ['58-29=29']
Exploring Operation: 70/35=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 70/35=2
Current State: 27:[29, 2], Operations: ['58-29=29', '70/35=2']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4
|
Current State: 27:[58, 29, 70, 35], Operations: []
Exploring Operation: 70-35=35, Resulting Numbers: [58, 29, 35]
Generated Node #0,0: 27:[58, 29, 35] Operation: 70-35=35
Exploring Operation: 58-35=23, Resulting Numbers: [29, 70, 23]
Generated Node #0,1: 27:[29, 70, 23] Operation: 58-35=23
Exploring Operation: 70/35=2, Resulting Numbers: [58, 29, 2]
Generated Node #0,2: 27:[58, 29, 2] Operation: 70/35=2
Exploring Operation: 70-58=12, Resulting Numbers: [29, 35, 12]
Generated Node #0,3: 27:[29, 35, 12] Operation: 70-58=12
Start Sub Search at level 1: Moving to Node #0,3
Current State: 27:[29, 35, 12], Operations: ['70-58=12']
Exploring Operation: 35-12=23, Resulting Numbers: [29, 23]
Generated Node #0,3,0: 27:[29, 23] Operation: 35-12=23
Exploring Operation: 29+12=41, Resulting Numbers: [35, 41]
Generated Node #0,3,1: 27:[35, 41] Operation: 29+12=41
Exploring Operation: 29-12=17, Resulting Numbers: [35, 17]
Generated Node #0,3,2: 27:[35, 17] Operation: 29-12=17
Exploring Operation: 35-29=6, Resulting Numbers: [12, 6]
Generated Node #0,3,3: 27:[12, 6] Operation: 35-29=6
Moving to Node #0,3,0
Current State: 27:[29, 23], Operations: ['70-58=12', '35-12=23']
Exploring Operation: 29-23=6, Resulting Numbers: [6]
6,27 unequal: No Solution
Exploring Operation: 29+23=52, Resulting Numbers: [52]
52,27 unequal: No Solution
Exploring Operation: 29*23=667, Resulting Numbers: [667]
667,27 unequal: No Solution
Moving to Node #0,3,3
Current State: 27:[12, 6], Operations: ['70-58=12', '35-29=6']
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,27 unequal: No Solution
Exploring Operation: 12+6=18, Resulting Numbers: [18]
18,27 unequal: No Solution
Exploring Operation: 12*6=72, Resulting Numbers: [72]
72,27 unequal: No Solution
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,27 unequal: No Solution
Moving to Node #0,3,2
Current State: 27:[35, 17], Operations: ['70-58=12', '29-12=17']
Exploring Operation: 35-17=18, Resulting Numbers: [18]
18,27 unequal: No Solution
Exploring Operation: 35+17=52, Resulting Numbers: [52]
52,27 unequal: No Solution
Exploring Operation: 35*17=595, Resulting Numbers: [595]
595,27 unequal: No Solution
Moving to Node #0,3,1
Current State: 27:[35, 41], Operations: ['70-58=12', '29+12=41']
Exploring Operation: 35+41=76, Resulting Numbers: [76]
76,27 unequal: No Solution
Exploring Operation: 35*41=1435, Resulting Numbers: [1435]
1435,27 unequal: No Solution
Exploring Operation: 41-35=6, Resulting Numbers: [6]
6,27 unequal: No Solution
No 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: 27:[58, 29, 2], Operations: ['70/35=2']
Exploring Operation: 58-2=56, Resulting Numbers: [29, 56]
Generated Node #0,2,0: 27:[29, 56] Operation: 58-2=56
Exploring Operation: 58/2=29, Resulting Numbers: [29, 29]
Generated Node #0,2,1: 27:[29, 29] Operation: 58/2=29
Exploring Operation: 58/29=2, Resulting Numbers: [2, 2]
Generated Node #0,2,2: 27:[2, 2] Operation: 58/29=2
Exploring Operation: 58-29=29, Resulting Numbers: [2, 29]
Generated Node #0,2,3: 27:[2, 29] Operation: 58-29=29
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 27:[2, 2], Operations: ['70/35=2', '58/29=2']
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,27 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,27 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,27 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,27 unequal: No Solution
No 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: 27:[2, 29], Operations: ['70/35=2', '58-29=29']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[58, 29, 70, 35], Operations: []
Exploring Operation: 70/35=2, Resulting Numbers: [58, 29, 2]
Generated Node #0,2: 27:[58, 29, 2] Operation: 70/35=2
Moving to Node #0,2
Current State: 27:[58, 29, 2], Operations: ['70/35=2']
Exploring Operation: 58-29=29, Resulting Numbers: [2, 29]
Generated Node #0,2,3: 27:[2, 29] Operation: 58-29=29
Moving to Node #0,2,3
Current State: 27:[2, 29], Operations: ['70/35=2', '58-29=29']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.970486
|
hs_4
|
mult_heuristic
|
[
66,
99,
14,
90
] | 46
|
[
"66*90=5940",
"5940/99=60",
"60-14=46"
] |
Current State: 46:[66, 99, 14, 90], Operations: []
Exploring Operation: 66*90=5940, Resulting Numbers: [99, 14, 5940]
Generated Node #2: [99, 14, 5940] from Operation: 66*90=5940
Current State: 46:[99, 14, 5940], Operations: ['66*90=5940']
Exploring Operation: 5940/99=60, Resulting Numbers: [14, 60]
Generated Node #3: [14, 60] from Operation: 5940/99=60
Current State: 46:[14, 60], Operations: ['66*90=5940', '5940/99=60']
Exploring Operation: 60-14=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4
|
Current State: 46:[66, 99, 14, 90], Operations: []
Exploring Operation: 99-90=9, Resulting Numbers: [66, 14, 9]
Generated Node #0,0: 46:[66, 14, 9] Operation: 99-90=9
Exploring Operation: 99-66=33, Resulting Numbers: [14, 90, 33]
Generated Node #0,1: 46:[14, 90, 33] Operation: 99-66=33
Moving to Node #0,0
Current State: 46:[66, 14, 9], Operations: ['99-90=9']
Exploring Operation: 66-14=52, Resulting Numbers: [9, 52]
Generated Node #0,0,0: 46:[9, 52] Operation: 66-14=52
Exploring Operation: 66-9=57, Resulting Numbers: [14, 57]
Generated Node #0,0,1: 46:[14, 57] Operation: 66-9=57
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 46:[9, 52], Operations: ['99-90=9', '66-14=52']
Exploring Operation: 9+52=61, Resulting Numbers: [61]
61,46 unequal: No Solution
Exploring Operation: 52-9=43, Resulting Numbers: [43]
43,46 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 #0,0,1
Current State: 46:[14, 57], Operations: ['99-90=9', '66-9=57']
Exploring Operation: 57-14=43, Resulting Numbers: [43]
43,46 unequal: No Solution
Exploring Operation: 14+57=71, Resulting Numbers: [71]
71,46 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: 46:[14, 90, 33], Operations: ['99-66=33']
Exploring Operation: 90-14=76, Resulting Numbers: [33, 76]
Generated Node #0,1,0: 46:[33, 76] Operation: 90-14=76
Exploring Operation: 90-33=57, Resulting Numbers: [14, 57]
Generated Node #0,1,1: 46:[14, 57] Operation: 90-33=57
Moving to Node #0,1,1
Current State: 46:[14, 57], Operations: ['99-66=33', '90-33=57']
Exploring Operation: 57-14=43, Resulting Numbers: [43]
43,46 unequal: No Solution
Exploring Operation: 14+57=71, Resulting Numbers: [71]
71,46 unequal: No Solution
Moving to Node #0,1,0
Current State: 46:[33, 76], Operations: ['99-66=33', '90-14=76']
Exploring Operation: 33+76=109, Resulting Numbers: [109]
109,46 unequal: No Solution
Exploring Operation: 76-33=43, Resulting Numbers: [43]
43,46 unequal: No Solution
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
24,
3,
37,
4
] | 62
|
[
"24-3=21",
"37+4=41",
"21+41=62"
] |
Current State: 62:[24, 3, 37, 4], Operations: []
Exploring Operation: 24-3=21, Resulting Numbers: [37, 4, 21]
Generated Node #2: [37, 4, 21] from Operation: 24-3=21
Current State: 62:[37, 4, 21], Operations: ['24-3=21']
Exploring Operation: 37+4=41, Resulting Numbers: [21, 41]
Generated Node #3: [21, 41] from Operation: 37+4=41
Current State: 62:[21, 41], Operations: ['24-3=21', '37+4=41']
Exploring Operation: 21+41=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4
|
Current State: 62:[24, 3, 37, 4], Operations: []
Exploring Operation: 24+4=28, Resulting Numbers: [3, 37, 28]
Generated Node #0,0: 62:[3, 37, 28] Operation: 24+4=28
Exploring Operation: 37-4=33, Resulting Numbers: [24, 3, 33]
Generated Node #0,1: 62:[24, 3, 33] Operation: 37-4=33
Exploring Operation: 24+37=61, Resulting Numbers: [3, 4, 61]
Generated Node #0,2: 62:[3, 4, 61] Operation: 24+37=61
Moving to Node #0,2
Current State: 62:[3, 4, 61], Operations: ['24+37=61']
Exploring Operation: 4-3=1, Resulting Numbers: [61, 1]
Generated Node #0,2,0: 62:[61, 1] Operation: 4-3=1
Exploring Operation: 3+61=64, Resulting Numbers: [4, 64]
Generated Node #0,2,1: 62:[4, 64] Operation: 3+61=64
Exploring Operation: 4+61=65, Resulting Numbers: [3, 65]
Generated Node #0,2,2: 62:[3, 65] Operation: 4+61=65
Moving to Node #0,0
Current State: 62:[3, 37, 28], Operations: ['24+4=28']
Exploring Operation: 37+28=65, Resulting Numbers: [3, 65]
Generated Node #0,0,0: 62:[3, 65] Operation: 37+28=65
Exploring Operation: 37-3=34, Resulting Numbers: [28, 34]
Generated Node #0,0,1: 62:[28, 34] Operation: 37-3=34
Exploring Operation: 3+28=31, Resulting Numbers: [37, 31]
Generated Node #0,0,2: 62:[37, 31] Operation: 3+28=31
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 62:[3, 65], Operations: ['24+4=28', '37+28=65']
Exploring Operation: 3+65=68, Resulting Numbers: [68]
68,62 unequal: No Solution
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[24, 3, 37, 4], Operations: []
Exploring Operation: 24+4=28, Resulting Numbers: [3, 37, 28]
Generated Node #0,0: 62:[3, 37, 28] Operation: 24+4=28
Moving to Node #0,0
Current State: 62:[3, 37, 28], Operations: ['24+4=28']
Exploring Operation: 37+28=65, Resulting Numbers: [3, 65]
Generated Node #0,0,0: 62:[3, 65] Operation: 37+28=65
Moving to Node #0,0,0
Current State: 62:[3, 65], Operations: ['24+4=28', '37+28=65']
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979
|
hs_3
|
sum_heuristic
|
[
46,
47,
95,
26
] | 78
|
[
"46+95=141",
"141/47=3",
"26*3=78"
] |
Current State: 78:[46, 47, 95, 26], Operations: []
Exploring Operation: 46+95=141, Resulting Numbers: [47, 26, 141]
Generated Node #2: [47, 26, 141] from Operation: 46+95=141
Current State: 78:[47, 26, 141], Operations: ['46+95=141']
Exploring Operation: 141/47=3, Resulting Numbers: [26, 3]
Generated Node #3: [26, 3] from Operation: 141/47=3
Current State: 78:[26, 3], Operations: ['46+95=141', '141/47=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4
|
Current State: 78:[46, 47, 95, 26], Operations: []
Exploring Operation: 95-46=49, Resulting Numbers: [47, 26, 49]
Generated Node #0,0: 78:[47, 26, 49] Operation: 95-46=49
Exploring Operation: 95-47=48, Resulting Numbers: [46, 26, 48]
Generated Node #0,1: 78:[46, 26, 48] Operation: 95-47=48
Exploring Operation: 47-46=1, Resulting Numbers: [95, 26, 1]
Generated Node #0,2: 78:[95, 26, 1] Operation: 47-46=1
Start Sub Search at level 1: Moving to Node #0,1
Current State: 78:[46, 26, 48], Operations: ['95-47=48']
Exploring Operation: 48-26=22, Resulting Numbers: [46, 22]
Generated Node #0,1,0: 78:[46, 22] Operation: 48-26=22
Exploring Operation: 48-46=2, Resulting Numbers: [26, 2]
Generated Node #0,1,1: 78:[26, 2] Operation: 48-46=2
Exploring Operation: 26+48=74, Resulting Numbers: [46, 74]
Generated Node #0,1,2: 78:[46, 74] Operation: 26+48=74
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 78:[26, 2], Operations: ['95-47=48', '48-46=2']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,78 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,78 unequal: No Solution
Exploring Operation: 26+2=28, Resulting Numbers: [28]
28,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 78:[46, 22], Operations: ['95-47=48', '48-26=22']
Exploring Operation: 46-22=24, Resulting Numbers: [24]
24,78 unequal: No Solution
Exploring Operation: 46+22=68, Resulting Numbers: [68]
68,78 unequal: No Solution
Exploring Operation: 46*22=1012, Resulting Numbers: [1012]
1012,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 78:[46, 74], Operations: ['95-47=48', '26+48=74']
Exploring Operation: 46+74=120, Resulting Numbers: [120]
120,78 unequal: No Solution
Exploring Operation: 46*74=3404, Resulting Numbers: [3404]
3404,78 unequal: No Solution
Exploring Operation: 74-46=28, Resulting Numbers: [28]
28,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[47, 26, 49], Operations: ['95-46=49']
Exploring Operation: 49-47=2, Resulting Numbers: [26, 2]
Generated Node #0,0,0: 78:[26, 2] Operation: 49-47=2
Exploring Operation: 49-26=23, Resulting Numbers: [47, 23]
Generated Node #0,0,1: 78:[47, 23] Operation: 49-26=23
Exploring Operation: 26+49=75, Resulting Numbers: [47, 75]
Generated Node #0,0,2: 78:[47, 75] Operation: 26+49=75
Moving to Node #0,0,0
Current State: 78:[26, 2], Operations: ['95-46=49', '49-47=2']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,78 unequal: No Solution
Exploring Operation: 26+2=28, Resulting Numbers: [28]
28,78 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,78 unequal: No Solution
Moving to Node #0,0,1
Current State: 78:[47, 23], Operations: ['95-46=49', '49-26=23']
Exploring Operation: 47+23=70, Resulting Numbers: [70]
70,78 unequal: No Solution
Exploring Operation: 47*23=1081, Resulting Numbers: [1081]
1081,78 unequal: No Solution
Exploring Operation: 47-23=24, Resulting Numbers: [24]
24,78 unequal: No Solution
Moving to Node #0,0,2
Current State: 78:[47, 75], Operations: ['95-46=49', '26+49=75']
Exploring Operation: 47*75=3525, Resulting Numbers: [3525]
3525,78 unequal: No Solution
Exploring Operation: 75-47=28, Resulting Numbers: [28]
28,78 unequal: No Solution
Exploring Operation: 47+75=122, Resulting Numbers: [122]
122,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 78:[95, 26, 1], Operations: ['47-46=1']
Exploring Operation: 95-1=94, Resulting Numbers: [26, 94]
Generated Node #0,2,0: 78:[26, 94] Operation: 95-1=94
Exploring Operation: 95-26=69, Resulting Numbers: [1, 69]
Generated Node #0,2,1: 78:[1, 69] Operation: 95-26=69
Exploring Operation: 95*1=95, Resulting Numbers: [26, 95]
Generated Node #0,2,2: 78:[26, 95] Operation: 95*1=95
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 78:[1, 69], Operations: ['47-46=1', '95-26=69']
Exploring Operation: 1*69=69, Resulting Numbers: [69]
69,78 unequal: No Solution
Exploring Operation: 1+69=70, Resulting Numbers: [70]
70,78 unequal: No Solution
Exploring Operation: 69/1=69, Resulting Numbers: [69]
69,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 78:[26, 94], Operations: ['47-46=1', '95-1=94']
Exploring Operation: 94-26=68, Resulting Numbers: [68]
68,78 unequal: No Solution
Exploring Operation: 26+94=120, Resulting Numbers: [120]
120,78 unequal: No Solution
Exploring Operation: 26*94=2444, Resulting Numbers: [2444]
2444,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 78:[26, 95], Operations: ['47-46=1', '95*1=95']
Exploring Operation: 26+95=121, Resulting Numbers: [121]
121,78 unequal: No Solution
Exploring Operation: 95-26=69, Resulting Numbers: [69]
69,78 unequal: No Solution
Exploring Operation: 26*95=2470, Resulting Numbers: [2470]
2470,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
mult_heuristic
|
[
77,
6,
11,
24
] | 28
|
[
"77/11=7",
"24/6=4",
"7*4=28"
] |
Current State: 28:[77, 6, 11, 24], Operations: []
Exploring Operation: 77/11=7, Resulting Numbers: [6, 24, 7]
Generated Node #2: [6, 24, 7] from Operation: 77/11=7
Current State: 28:[6, 24, 7], Operations: ['77/11=7']
Exploring Operation: 24/6=4, Resulting Numbers: [7, 4]
Generated Node #3: [7, 4] from Operation: 24/6=4
Current State: 28:[7, 4], Operations: ['77/11=7', '24/6=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4
|
Current State: 28:[77, 6, 11, 24], Operations: []
Exploring Operation: 77-11=66, Resulting Numbers: [6, 24, 66]
Generated Node #0,0: 28:[6, 24, 66] Operation: 77-11=66
Exploring Operation: 77-24=53, Resulting Numbers: [6, 11, 53]
Generated Node #0,1: 28:[6, 11, 53] Operation: 77-24=53
Exploring Operation: 77/11=7, Resulting Numbers: [6, 24, 7]
Generated Node #0,2: 28:[6, 24, 7] Operation: 77/11=7
Exploring Operation: 24-11=13, Resulting Numbers: [77, 6, 13]
Generated Node #0,3: 28:[77, 6, 13] Operation: 24-11=13
Exploring Operation: 77-6=71, Resulting Numbers: [11, 24, 71]
Generated Node #0,4: 28:[11, 24, 71] Operation: 77-6=71
Moving to Node #0,2
Current State: 28:[6, 24, 7], Operations: ['77/11=7']
Exploring Operation: 24/6=4, Resulting Numbers: [7, 4]
Generated Node #0,2,0: 28:[7, 4] Operation: 24/6=4
Exploring Operation: 24-7=17, Resulting Numbers: [6, 17]
Generated Node #0,2,1: 28:[6, 17] Operation: 24-7=17
Exploring Operation: 24+7=31, Resulting Numbers: [6, 31]
Generated Node #0,2,2: 28:[6, 31] Operation: 24+7=31
Exploring Operation: 6+24=30, Resulting Numbers: [7, 30]
Generated Node #0,2,3: 28:[7, 30] Operation: 6+24=30
Exploring Operation: 24-6=18, Resulting Numbers: [7, 18]
Generated Node #0,2,4: 28:[7, 18] Operation: 24-6=18
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 28:[7, 4], Operations: ['77/11=7', '24/6=4']
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,28 unequal: No Solution
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[77, 6, 11, 24], Operations: []
Exploring Operation: 77/11=7, Resulting Numbers: [6, 24, 7]
Generated Node #0,2: 28:[6, 24, 7] Operation: 77/11=7
Moving to Node #0,2
Current State: 28:[6, 24, 7], Operations: ['77/11=7']
Exploring Operation: 24/6=4, Resulting Numbers: [7, 4]
Generated Node #0,2,0: 28:[7, 4] Operation: 24/6=4
Moving to Node #0,2,0
Current State: 28:[7, 4], Operations: ['77/11=7', '24/6=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111
|
hs_5
|
sum_heuristic
|
[
32,
2,
6,
62
] | 49
|
[
"32-6=26",
"26/2=13",
"62-13=49"
] |
Current State: 49:[32, 2, 6, 62], Operations: []
Exploring Operation: 32-6=26, Resulting Numbers: [2, 62, 26]
Generated Node #2: [2, 62, 26] from Operation: 32-6=26
Current State: 49:[2, 62, 26], Operations: ['32-6=26']
Exploring Operation: 26/2=13, Resulting Numbers: [62, 13]
Generated Node #3: [62, 13] from Operation: 26/2=13
Current State: 49:[62, 13], Operations: ['32-6=26', '26/2=13']
Exploring Operation: 62-13=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4
|
Current State: 49:[32, 2, 6, 62], Operations: []
Exploring Operation: 32/2=16, Resulting Numbers: [6, 62, 16]
Generated Node #0,0: 49:[6, 62, 16] Operation: 32/2=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[6, 62, 16], Operations: ['32/2=16']
Exploring Operation: 62-16=46, Resulting Numbers: [6, 46]
Generated Node #0,0,0: 49:[6, 46] Operation: 62-16=46
Moving to Node #0,0,0
Current State: 49:[6, 46], Operations: ['32/2=16', '62-16=46']
Exploring Operation: 6+46=52, Resulting Numbers: [52]
52,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
65,
6,
98,
84
] | 85
|
[
"65+6=71",
"98-84=14",
"71+14=85"
] |
Current State: 85:[65, 6, 98, 84], Operations: []
Exploring Operation: 65+6=71, Resulting Numbers: [98, 84, 71]
Generated Node #2: [98, 84, 71] from Operation: 65+6=71
Current State: 85:[98, 84, 71], Operations: ['65+6=71']
Exploring Operation: 98-84=14, Resulting Numbers: [71, 14]
Generated Node #3: [71, 14] from Operation: 98-84=14
Current State: 85:[71, 14], Operations: ['65+6=71', '98-84=14']
Exploring Operation: 71+14=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4
|
Current State: 85:[65, 6, 98, 84], Operations: []
Exploring Operation: 98-6=92, Resulting Numbers: [65, 84, 92]
Generated Node #0,0: 85:[65, 84, 92] Operation: 98-6=92
Exploring Operation: 98-84=14, Resulting Numbers: [65, 6, 14]
Generated Node #0,1: 85:[65, 6, 14] Operation: 98-84=14
Exploring Operation: 84-65=19, Resulting Numbers: [6, 98, 19]
Generated Node #0,2: 85:[6, 98, 19] Operation: 84-65=19
Exploring Operation: 98-65=33, Resulting Numbers: [6, 84, 33]
Generated Node #0,3: 85:[6, 84, 33] Operation: 98-65=33
Exploring Operation: 65+6=71, Resulting Numbers: [98, 84, 71]
Generated Node #0,4: 85:[98, 84, 71] Operation: 65+6=71
Moving to Node #0,2
Current State: 85:[6, 98, 19], Operations: ['84-65=19']
Exploring Operation: 98-19=79, Resulting Numbers: [6, 79]
Generated Node #0,2,0: 85:[6, 79] Operation: 98-19=79
Exploring Operation: 6+19=25, Resulting Numbers: [98, 25]
Generated Node #0,2,1: 85:[98, 25] Operation: 6+19=25
Exploring Operation: 98-6=92, Resulting Numbers: [19, 92]
Generated Node #0,2,2: 85:[19, 92] Operation: 98-6=92
Exploring Operation: 19-6=13, Resulting Numbers: [98, 13]
Generated Node #0,2,3: 85:[98, 13] Operation: 19-6=13
Exploring Operation: 6+98=104, Resulting Numbers: [19, 104]
Generated Node #0,2,4: 85:[19, 104] Operation: 6+98=104
Moving to Node #0,3
Current State: 85:[6, 84, 33], Operations: ['98-65=33']
Exploring Operation: 6+84=90, Resulting Numbers: [33, 90]
Generated Node #0,3,0: 85:[33, 90] Operation: 6+84=90
Exploring Operation: 84/6=14, Resulting Numbers: [33, 14]
Generated Node #0,3,1: 85:[33, 14] Operation: 84/6=14
Exploring Operation: 84-6=78, Resulting Numbers: [33, 78]
Generated Node #0,3,2: 85:[33, 78] Operation: 84-6=78
Exploring Operation: 33-6=27, Resulting Numbers: [84, 27]
Generated Node #0,3,3: 85:[84, 27] Operation: 33-6=27
Exploring Operation: 6+33=39, Resulting Numbers: [84, 39]
Generated Node #0,3,4: 85:[84, 39] Operation: 6+33=39
Moving to Node #0,1
Current State: 85:[65, 6, 14], Operations: ['98-84=14']
Exploring Operation: 65+14=79, Resulting Numbers: [6, 79]
Generated Node #0,1,0: 85:[6, 79] Operation: 65+14=79
Exploring Operation: 6*14=84, Resulting Numbers: [65, 84]
Generated Node #0,1,1: 85:[65, 84] Operation: 6*14=84
Exploring Operation: 65+6=71, Resulting Numbers: [14, 71]
Generated Node #0,1,2: 85:[14, 71] Operation: 65+6=71
Exploring Operation: 6+14=20, Resulting Numbers: [65, 20]
Generated Node #0,1,3: 85:[65, 20] Operation: 6+14=20
Exploring Operation: 14-6=8, Resulting Numbers: [65, 8]
Generated Node #0,1,4: 85:[65, 8] Operation: 14-6=8
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 85:[6, 79], Operations: ['98-84=14', '65+14=79']
Exploring Operation: 6+79=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[65, 6, 98, 84], Operations: []
Exploring Operation: 98-84=14, Resulting Numbers: [65, 6, 14]
Generated Node #0,1: 85:[65, 6, 14] Operation: 98-84=14
Moving to Node #0,1
Current State: 85:[65, 6, 14], Operations: ['98-84=14']
Exploring Operation: 65+14=79, Resulting Numbers: [6, 79]
Generated Node #0,1,0: 85:[6, 79] Operation: 65+14=79
Moving to Node #0,1,0
Current State: 85:[6, 79], Operations: ['98-84=14', '65+14=79']
Exploring Operation: 6+79=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299
|
hs_5
|
sum_heuristic
|
[
64,
47,
61,
86
] | 13
|
[
"64-61=3",
"86-47=39",
"39/3=13"
] |
Current State: 13:[64, 47, 61, 86], Operations: []
Exploring Operation: 64-61=3, Resulting Numbers: [47, 86, 3]
Generated Node #2: [47, 86, 3] from Operation: 64-61=3
Current State: 13:[47, 86, 3], Operations: ['64-61=3']
Exploring Operation: 86-47=39, Resulting Numbers: [3, 39]
Generated Node #3: [3, 39] from Operation: 86-47=39
Current State: 13:[3, 39], Operations: ['64-61=3', '86-47=39']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4
|
Current State: 13:[64, 47, 61, 86], Operations: []
Exploring Operation: 64-61=3, Resulting Numbers: [47, 86, 3]
Generated Node #0,0: 13:[47, 86, 3] Operation: 64-61=3
Exploring Operation: 64-47=17, Resulting Numbers: [61, 86, 17]
Generated Node #0,1: 13:[61, 86, 17] Operation: 64-47=17
Exploring Operation: 86-64=22, Resulting Numbers: [47, 61, 22]
Generated Node #0,2: 13:[47, 61, 22] Operation: 86-64=22
Exploring Operation: 86-61=25, Resulting Numbers: [64, 47, 25]
Generated Node #0,3: 13:[64, 47, 25] Operation: 86-61=25
Start Sub Search at level 1: Moving to Node #0,2
Current State: 13:[47, 61, 22], Operations: ['86-64=22']
Exploring Operation: 61-47=14, Resulting Numbers: [22, 14]
Generated Node #0,2,0: 13:[22, 14] Operation: 61-47=14
Exploring Operation: 47+61=108, Resulting Numbers: [22, 108]
Generated Node #0,2,1: 13:[22, 108] Operation: 47+61=108
Exploring Operation: 61-22=39, Resulting Numbers: [47, 39]
Generated Node #0,2,2: 13:[47, 39] Operation: 61-22=39
Exploring Operation: 47-22=25, Resulting Numbers: [61, 25]
Generated Node #0,2,3: 13:[61, 25] Operation: 47-22=25
Moving to Node #0,2,0
Current State: 13:[22, 14], Operations: ['86-64=22', '61-47=14']
Exploring Operation: 22-14=8, Resulting Numbers: [8]
8,13 unequal: No Solution
Exploring Operation: 22*14=308, Resulting Numbers: [308]
308,13 unequal: No Solution
Exploring Operation: 22+14=36, Resulting Numbers: [36]
36,13 unequal: No Solution
Moving to Node #0,2,3
Current State: 13:[61, 25], Operations: ['86-64=22', '47-22=25']
Exploring Operation: 61*25=1525, Resulting Numbers: [1525]
1525,13 unequal: No Solution
Exploring Operation: 61+25=86, Resulting Numbers: [86]
86,13 unequal: No Solution
Exploring Operation: 61-25=36, Resulting Numbers: [36]
36,13 unequal: No Solution
Moving to Node #0,2,2
Current State: 13:[47, 39], Operations: ['86-64=22', '61-22=39']
Exploring Operation: 47+39=86, Resulting Numbers: [86]
86,13 unequal: No Solution
Exploring Operation: 47-39=8, Resulting Numbers: [8]
8,13 unequal: No Solution
Exploring Operation: 47*39=1833, Resulting Numbers: [1833]
1833,13 unequal: No Solution
Moving to Node #0,2,1
Current State: 13:[22, 108], Operations: ['86-64=22', '47+61=108']
Exploring Operation: 108-22=86, Resulting Numbers: [86]
86,13 unequal: No Solution
Exploring Operation: 22+108=130, Resulting Numbers: [130]
130,13 unequal: No Solution
Exploring Operation: 22*108=2376, Resulting Numbers: [2376]
2376,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 13:[64, 47, 25], Operations: ['86-61=25']
Exploring Operation: 47-25=22, Resulting Numbers: [64, 22]
Generated Node #0,3,0: 13:[64, 22] Operation: 47-25=22
Exploring Operation: 64-47=17, Resulting Numbers: [25, 17]
Generated Node #0,3,1: 13:[25, 17] Operation: 64-47=17
Exploring Operation: 64-25=39, Resulting Numbers: [47, 39]
Generated Node #0,3,2: 13:[47, 39] Operation: 64-25=39
Exploring Operation: 64+47=111, Resulting Numbers: [25, 111]
Generated Node #0,3,3: 13:[25, 111] Operation: 64+47=111
Moving to Node #0,3,1
Current State: 13:[25, 17], Operations: ['86-61=25', '64-47=17']
Exploring Operation: 25-17=8, Resulting Numbers: [8]
8,13 unequal: No Solution
Exploring Operation: 25*17=425, Resulting Numbers: [425]
425,13 unequal: No Solution
Exploring Operation: 25+17=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Moving to Node #0,3,2
Current State: 13:[47, 39], Operations: ['86-61=25', '64-25=39']
Exploring Operation: 47-39=8, Resulting Numbers: [8]
8,13 unequal: No Solution
Exploring Operation: 47+39=86, Resulting Numbers: [86]
86,13 unequal: No Solution
Exploring Operation: 47*39=1833, Resulting Numbers: [1833]
1833,13 unequal: No Solution
Moving to Node #0,3,0
Current State: 13:[64, 22], Operations: ['86-61=25', '47-25=22']
Exploring Operation: 64-22=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 64+22=86, Resulting Numbers: [86]
86,13 unequal: No Solution
Exploring Operation: 64*22=1408, Resulting Numbers: [1408]
1408,13 unequal: No Solution
Moving to Node #0,3,3
Current State: 13:[25, 111], Operations: ['86-61=25', '64+47=111']
Exploring Operation: 25*111=2775, Resulting Numbers: [2775]
2775,13 unequal: No Solution
Exploring Operation: 25+111=136, Resulting Numbers: [136]
136,13 unequal: No Solution
Exploring Operation: 111-25=86, Resulting Numbers: [86]
86,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[47, 86, 3], Operations: ['64-61=3']
Exploring Operation: 86-3=83, Resulting Numbers: [47, 83]
Generated Node #0,0,0: 13:[47, 83] Operation: 86-3=83
Exploring Operation: 47-3=44, Resulting Numbers: [86, 44]
Generated Node #0,0,1: 13:[86, 44] Operation: 47-3=44
Exploring Operation: 86-47=39, Resulting Numbers: [3, 39]
Generated Node #0,0,2: 13:[3, 39] Operation: 86-47=39
Exploring Operation: 47+3=50, Resulting Numbers: [86, 50]
Generated Node #0,0,3: 13:[86, 50] Operation: 47+3=50
Moving to Node #0,0,2
Current State: 13:[3, 39], Operations: ['64-61=3', '86-47=39']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[64, 47, 61, 86], Operations: []
Exploring Operation: 64-61=3, Resulting Numbers: [47, 86, 3]
Generated Node #0,0: 13:[47, 86, 3] Operation: 64-61=3
Moving to Node #0,0
Current State: 13:[47, 86, 3], Operations: ['64-61=3']
Exploring Operation: 86-47=39, Resulting Numbers: [3, 39]
Generated Node #0,0,2: 13:[3, 39] Operation: 86-47=39
Moving to Node #0,0,2
Current State: 13:[3, 39], Operations: ['64-61=3', '86-47=39']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.960938
|
hs_4
|
sum_heuristic
|
[
2,
54,
52,
67
] | 39
|
[
"52/2=26",
"67-54=13",
"26+13=39"
] |
Current State: 39:[2, 54, 52, 67], Operations: []
Exploring Operation: 52/2=26, Resulting Numbers: [54, 67, 26]
Generated Node #2: [54, 67, 26] from Operation: 52/2=26
Current State: 39:[54, 67, 26], Operations: ['52/2=26']
Exploring Operation: 67-54=13, Resulting Numbers: [26, 13]
Generated Node #3: [26, 13] from Operation: 67-54=13
Current State: 39:[26, 13], Operations: ['52/2=26', '67-54=13']
Exploring Operation: 26+13=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4
|
Current State: 39:[2, 54, 52, 67], Operations: []
Exploring Operation: 67-52=15, Resulting Numbers: [2, 54, 15]
Generated Node #0,0: 39:[2, 54, 15] Operation: 67-52=15
Exploring Operation: 54/2=27, Resulting Numbers: [52, 67, 27]
Generated Node #0,1: 39:[52, 67, 27] Operation: 54/2=27
Exploring Operation: 54-52=2, Resulting Numbers: [2, 67, 2]
Generated Node #0,2: 39:[2, 67, 2] Operation: 54-52=2
Exploring Operation: 67-54=13, Resulting Numbers: [2, 52, 13]
Generated Node #0,3: 39:[2, 52, 13] Operation: 67-54=13
Moving to Node #0,3
Current State: 39:[2, 52, 13], Operations: ['67-54=13']
Exploring Operation: 52/2=26, Resulting Numbers: [13, 26]
Generated Node #0,3,0: 39:[13, 26] Operation: 52/2=26
Exploring Operation: 52-2=50, Resulting Numbers: [13, 50]
Generated Node #0,3,1: 39:[13, 50] Operation: 52-2=50
Exploring Operation: 52/13=4, Resulting Numbers: [2, 4]
Generated Node #0,3,2: 39:[2, 4] Operation: 52/13=4
Exploring Operation: 52-13=39, Resulting Numbers: [2, 39]
Generated Node #0,3,3: 39:[2, 39] Operation: 52-13=39
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 39:[2, 39], Operations: ['67-54=13', '52-13=39']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,39 unequal: No Solution
Exploring Operation: 2*39=78, Resulting Numbers: [78]
78,39 unequal: No Solution
Exploring Operation: 2+39=41, Resulting Numbers: [41]
41,39 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 #0,3,2
Current State: 39:[2, 4], Operations: ['67-54=13', '52/13=4']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,39 unequal: No Solution
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,39 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 #0,3,1
Current State: 39:[13, 50], Operations: ['67-54=13', '52-2=50']
Exploring Operation: 13*50=650, Resulting Numbers: [650]
650,39 unequal: No Solution
Exploring Operation: 50-13=37, Resulting Numbers: [37]
37,39 unequal: No Solution
Exploring Operation: 13+50=63, Resulting Numbers: [63]
63,39 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 #0,3,0
Current State: 39:[13, 26], Operations: ['67-54=13', '52/2=26']
Exploring Operation: 13*26=338, Resulting Numbers: [338]
338,39 unequal: No Solution
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,39 unequal: No Solution
Exploring Operation: 26/13=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 13+26=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[2, 54, 52, 67], Operations: []
Exploring Operation: 67-54=13, Resulting Numbers: [2, 52, 13]
Generated Node #0,3: 39:[2, 52, 13] Operation: 67-54=13
Moving to Node #0,3
Current State: 39:[2, 52, 13], Operations: ['67-54=13']
Exploring Operation: 52/2=26, Resulting Numbers: [13, 26]
Generated Node #0,3,0: 39:[13, 26] Operation: 52/2=26
Moving to Node #0,3,0
Current State: 39:[13, 26], Operations: ['67-54=13', '52/2=26']
Exploring Operation: 13+26=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431
|
hs_4
|
mult_heuristic
|
[
28,
93,
89,
68
] | 10
|
[
"68-28=40",
"93-89=4",
"40/4=10"
] |
Current State: 10:[28, 93, 89, 68], Operations: []
Exploring Operation: 68-28=40, Resulting Numbers: [93, 89, 40]
Generated Node #2: [93, 89, 40] from Operation: 68-28=40
Current State: 10:[93, 89, 40], Operations: ['68-28=40']
Exploring Operation: 93-89=4, Resulting Numbers: [40, 4]
Generated Node #3: [40, 4] from Operation: 93-89=4
Current State: 10:[40, 4], Operations: ['68-28=40', '93-89=4']
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4
|
Current State: 10:[28, 93, 89, 68], Operations: []
Exploring Operation: 93-89=4, Resulting Numbers: [28, 68, 4]
Generated Node #0,0: 10:[28, 68, 4] Operation: 93-89=4
Moving to Node #0,0
Current State: 10:[28, 68, 4], Operations: ['93-89=4']
Exploring Operation: 68/4=17, Resulting Numbers: [28, 17]
Generated Node #0,0,0: 10:[28, 17] Operation: 68/4=17
Moving to Node #0,0,0
Current State: 10:[28, 17], Operations: ['93-89=4', '68/4=17']
Exploring Operation: 28-17=11, Resulting Numbers: [11]
11,10 unequal: No Solution
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
25,
94,
16,
18
] | 47
|
[
"25-16=9",
"94*9=846",
"846/18=47"
] |
Current State: 47:[25, 94, 16, 18], Operations: []
Exploring Operation: 25-16=9, Resulting Numbers: [94, 18, 9]
Generated Node #2: [94, 18, 9] from Operation: 25-16=9
Current State: 47:[94, 18, 9], Operations: ['25-16=9']
Exploring Operation: 94*9=846, Resulting Numbers: [18, 846]
Generated Node #3: [18, 846] from Operation: 94*9=846
Current State: 47:[18, 846], Operations: ['25-16=9', '94*9=846']
Exploring Operation: 846/18=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4
|
Current State: 47:[25, 94, 16, 18], Operations: []
Exploring Operation: 94-25=69, Resulting Numbers: [16, 18, 69]
Generated Node #0,0: 47:[16, 18, 69] Operation: 94-25=69
Exploring Operation: 25+16=41, Resulting Numbers: [94, 18, 41]
Generated Node #0,1: 47:[94, 18, 41] Operation: 25+16=41
Exploring Operation: 25+18=43, Resulting Numbers: [94, 16, 43]
Generated Node #0,2: 47:[94, 16, 43] Operation: 25+18=43
Exploring Operation: 94-16=78, Resulting Numbers: [25, 18, 78]
Generated Node #0,3: 47:[25, 18, 78] Operation: 94-16=78
Exploring Operation: 94-18=76, Resulting Numbers: [25, 16, 76]
Generated Node #0,4: 47:[25, 16, 76] Operation: 94-18=76
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[16, 18, 69], Operations: ['94-25=69']
Exploring Operation: 16+69=85, Resulting Numbers: [18, 85]
Generated Node #0,0,0: 47:[18, 85] Operation: 16+69=85
Exploring Operation: 16+18=34, Resulting Numbers: [69, 34]
Generated Node #0,0,1: 47:[69, 34] Operation: 16+18=34
Exploring Operation: 69-18=51, Resulting Numbers: [16, 51]
Generated Node #0,0,2: 47:[16, 51] Operation: 69-18=51
Exploring Operation: 18-16=2, Resulting Numbers: [69, 2]
Generated Node #0,0,3: 47:[69, 2] Operation: 18-16=2
Exploring Operation: 69-16=53, Resulting Numbers: [18, 53]
Generated Node #0,0,4: 47:[18, 53] Operation: 69-16=53
Moving to Node #0,0,1
Current State: 47:[69, 34], Operations: ['94-25=69', '16+18=34']
Exploring Operation: 69+34=103, Resulting Numbers: [103]
103,47 unequal: No Solution
Exploring Operation: 69-34=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Exploring Operation: 69*34=2346, Resulting Numbers: [2346]
2346,47 unequal: No Solution
Moving to Node #0,0,4
Current State: 47:[18, 53], Operations: ['94-25=69', '69-16=53']
Exploring Operation: 18*53=954, Resulting Numbers: [954]
954,47 unequal: No Solution
Exploring Operation: 18+53=71, Resulting Numbers: [71]
71,47 unequal: No Solution
Exploring Operation: 53-18=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Moving to Node #0,0,2
Current State: 47:[16, 51], Operations: ['94-25=69', '69-18=51']
Exploring Operation: 16+51=67, Resulting Numbers: [67]
67,47 unequal: No Solution
Exploring Operation: 16*51=816, Resulting Numbers: [816]
816,47 unequal: No Solution
Exploring Operation: 51-16=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Moving to Node #0,0,0
Current State: 47:[18, 85], Operations: ['94-25=69', '16+69=85']
Exploring Operation: 85-18=67, Resulting Numbers: [67]
67,47 unequal: No Solution
Exploring Operation: 18*85=1530, Resulting Numbers: [1530]
1530,47 unequal: No Solution
Exploring Operation: 18+85=103, Resulting Numbers: [103]
103,47 unequal: No Solution
Moving to Node #0,0,3
Current State: 47:[69, 2], Operations: ['94-25=69', '18-16=2']
Exploring Operation: 69+2=71, Resulting Numbers: [71]
71,47 unequal: No Solution
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,47 unequal: No Solution
Exploring Operation: 69*2=138, Resulting Numbers: [138]
138,47 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:[94, 18, 41], Operations: ['25+16=41']
Exploring Operation: 18+41=59, Resulting Numbers: [94, 59]
Generated Node #0,1,0: 47:[94, 59] Operation: 18+41=59
Exploring Operation: 94-41=53, Resulting Numbers: [18, 53]
Generated Node #0,1,1: 47:[18, 53] Operation: 94-41=53
Exploring Operation: 41-18=23, Resulting Numbers: [94, 23]
Generated Node #0,1,2: 47:[94, 23] Operation: 41-18=23
Exploring Operation: 94+18=112, Resulting Numbers: [41, 112]
Generated Node #0,1,3: 47:[41, 112] Operation: 94+18=112
Exploring Operation: 94-18=76, Resulting Numbers: [41, 76]
Generated Node #0,1,4: 47:[41, 76] Operation: 94-18=76
Moving to Node #0,1,1
Current State: 47:[18, 53], Operations: ['25+16=41', '94-41=53']
Exploring Operation: 18*53=954, Resulting Numbers: [954]
954,47 unequal: No Solution
Exploring Operation: 18+53=71, Resulting Numbers: [71]
71,47 unequal: No Solution
Exploring Operation: 53-18=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Moving to Node #0,1,4
Current State: 47:[41, 76], Operations: ['25+16=41', '94-18=76']
Exploring Operation: 41+76=117, Resulting Numbers: [117]
117,47 unequal: No Solution
Exploring Operation: 76-41=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Exploring Operation: 41*76=3116, Resulting Numbers: [3116]
3116,47 unequal: No Solution
Moving to Node #0,1,0
Current State: 47:[94, 59], Operations: ['25+16=41', '18+41=59']
Exploring Operation: 94+59=153, Resulting Numbers: [153]
153,47 unequal: No Solution
Exploring Operation: 94*59=5546, Resulting Numbers: [5546]
5546,47 unequal: No Solution
Exploring Operation: 94-59=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Moving to Node #0,1,2
Current State: 47:[94, 23], Operations: ['25+16=41', '41-18=23']
Exploring Operation: 94*23=2162, Resulting Numbers: [2162]
2162,47 unequal: No Solution
Exploring Operation: 94+23=117, Resulting Numbers: [117]
117,47 unequal: No Solution
Exploring Operation: 94-23=71, Resulting Numbers: [71]
71,47 unequal: No Solution
Moving to Node #0,1,3
Current State: 47:[41, 112], Operations: ['25+16=41', '94+18=112']
Exploring Operation: 41+112=153, Resulting Numbers: [153]
153,47 unequal: No Solution
Exploring Operation: 112-41=71, Resulting Numbers: [71]
71,47 unequal: No Solution
Exploring Operation: 41*112=4592, Resulting Numbers: [4592]
4592,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 47:[94, 16, 43], Operations: ['25+18=43']
Exploring Operation: 43-16=27, Resulting Numbers: [94, 27]
Generated Node #0,2,0: 47:[94, 27] Operation: 43-16=27
Exploring Operation: 16+43=59, Resulting Numbers: [94, 59]
Generated Node #0,2,1: 47:[94, 59] Operation: 16+43=59
Exploring Operation: 94-43=51, Resulting Numbers: [16, 51]
Generated Node #0,2,2: 47:[16, 51] Operation: 94-43=51
Exploring Operation: 94-16=78, Resulting Numbers: [43, 78]
Generated Node #0,2,3: 47:[43, 78] Operation: 94-16=78
Exploring Operation: 94+16=110, Resulting Numbers: [43, 110]
Generated Node #0,2,4: 47:[43, 110] Operation: 94+16=110
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 47:[16, 51], Operations: ['25+18=43', '94-43=51']
Exploring Operation: 16*51=816, Resulting Numbers: [816]
816,47 unequal: No Solution
Exploring Operation: 16+51=67, Resulting Numbers: [67]
67,47 unequal: No Solution
Exploring Operation: 51-16=35, Resulting Numbers: [35]
35,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 47:[43, 78], Operations: ['25+18=43', '94-16=78']
Exploring Operation: 43*78=3354, Resulting Numbers: [3354]
3354,47 unequal: No Solution
Exploring Operation: 43+78=121, Resulting Numbers: [121]
121,47 unequal: No Solution
Exploring Operation: 78-43=35, Resulting Numbers: [35]
35,47 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:[94, 59], Operations: ['25+18=43', '16+43=59']
Exploring Operation: 94+59=153, Resulting Numbers: [153]
153,47 unequal: No Solution
Exploring Operation: 94-59=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Exploring Operation: 94*59=5546, Resulting Numbers: [5546]
5546,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 47:[94, 27], Operations: ['25+18=43', '43-16=27']
Exploring Operation: 94-27=67, Resulting Numbers: [67]
67,47 unequal: No Solution
Exploring Operation: 94+27=121, Resulting Numbers: [121]
121,47 unequal: No Solution
Exploring Operation: 94*27=2538, Resulting Numbers: [2538]
2538,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 47:[43, 110], Operations: ['25+18=43', '94+16=110']
Exploring Operation: 110-43=67, Resulting Numbers: [67]
67,47 unequal: No Solution
Exploring Operation: 43+110=153, Resulting Numbers: [153]
153,47 unequal: No Solution
Exploring Operation: 43*110=4730, Resulting Numbers: [4730]
4730,47 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 #0,3
Current State: 47:[25, 18, 78], Operations: ['94-16=78']
Exploring Operation: 78-25=53, Resulting Numbers: [18, 53]
Generated Node #0,3,0: 47:[18, 53] Operation: 78-25=53
Exploring Operation: 25-18=7, Resulting Numbers: [78, 7]
Generated Node #0,3,1: 47:[78, 7] Operation: 25-18=7
Exploring Operation: 78-18=60, Resulting Numbers: [25, 60]
Generated Node #0,3,2: 47:[25, 60] Operation: 78-18=60
Exploring Operation: 25+18=43, Resulting Numbers: [78, 43]
Generated Node #0,3,3: 47:[78, 43] Operation: 25+18=43
Exploring Operation: 18+78=96, Resulting Numbers: [25, 96]
Generated Node #0,3,4: 47:[25, 96] Operation: 18+78=96
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 47:[18, 53], Operations: ['94-16=78', '78-25=53']
Exploring Operation: 18+53=71, Resulting Numbers: [71]
71,47 unequal: No Solution
Exploring Operation: 18*53=954, Resulting Numbers: [954]
954,47 unequal: No Solution
Exploring Operation: 53-18=35, Resulting Numbers: [35]
35,47 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 #0,3,2
Current State: 47:[25, 60], Operations: ['94-16=78', '78-18=60']
Exploring Operation: 60-25=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Exploring Operation: 25*60=1500, Resulting Numbers: [1500]
1500,47 unequal: No Solution
Exploring Operation: 25+60=85, Resulting Numbers: [85]
85,47 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 #0,3,3
Current State: 47:[78, 43], Operations: ['94-16=78', '25+18=43']
Exploring Operation: 78-43=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Exploring Operation: 78*43=3354, Resulting Numbers: [3354]
3354,47 unequal: No Solution
Exploring Operation: 78+43=121, Resulting Numbers: [121]
121,47 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 #0,3,1
Current State: 47:[78, 7], Operations: ['94-16=78', '25-18=7']
Exploring Operation: 78+7=85, Resulting Numbers: [85]
85,47 unequal: No Solution
Exploring Operation: 78-7=71, Resulting Numbers: [71]
71,47 unequal: No Solution
Exploring Operation: 78*7=546, Resulting Numbers: [546]
546,47 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 #0,3,4
Current State: 47:[25, 96], Operations: ['94-16=78', '18+78=96']
Exploring Operation: 25*96=2400, Resulting Numbers: [2400]
2400,47 unequal: No Solution
Exploring Operation: 96-25=71, Resulting Numbers: [71]
71,47 unequal: No Solution
Exploring Operation: 25+96=121, Resulting Numbers: [121]
121,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 47:[25, 16, 76], Operations: ['94-18=76']
Exploring Operation: 76-16=60, Resulting Numbers: [25, 60]
Generated Node #0,4,0: 47:[25, 60] Operation: 76-16=60
Exploring Operation: 16+76=92, Resulting Numbers: [25, 92]
Generated Node #0,4,1: 47:[25, 92] Operation: 16+76=92
Exploring Operation: 25+16=41, Resulting Numbers: [76, 41]
Generated Node #0,4,2: 47:[76, 41] Operation: 25+16=41
Exploring Operation: 76-25=51, Resulting Numbers: [16, 51]
Generated Node #0,4,3: 47:[16, 51] Operation: 76-25=51
Exploring Operation: 25-16=9, Resulting Numbers: [76, 9]
Generated Node #0,4,4: 47:[76, 9] Operation: 25-16=9
Moving to Node #0,4,0
Current State: 47:[25, 60], Operations: ['94-18=76', '76-16=60']
Exploring Operation: 25+60=85, Resulting Numbers: [85]
85,47 unequal: No Solution
Exploring Operation: 25*60=1500, Resulting Numbers: [1500]
1500,47 unequal: No Solution
Exploring Operation: 60-25=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Moving to Node #0,4,3
Current State: 47:[16, 51], Operations: ['94-18=76', '76-25=51']
Exploring Operation: 16+51=67, Resulting Numbers: [67]
67,47 unequal: No Solution
Exploring Operation: 51-16=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Exploring Operation: 16*51=816, Resulting Numbers: [816]
816,47 unequal: No Solution
Moving to Node #0,4,2
Current State: 47:[76, 41], Operations: ['94-18=76', '25+16=41']
Exploring Operation: 76+41=117, Resulting Numbers: [117]
117,47 unequal: No Solution
Exploring Operation: 76*41=3116, Resulting Numbers: [3116]
3116,47 unequal: No Solution
Exploring Operation: 76-41=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Moving to Node #0,4,1
Current State: 47:[25, 92], Operations: ['94-18=76', '16+76=92']
Exploring Operation: 25+92=117, Resulting Numbers: [117]
117,47 unequal: No Solution
Exploring Operation: 92-25=67, Resulting Numbers: [67]
67,47 unequal: No Solution
Exploring Operation: 25*92=2300, Resulting Numbers: [2300]
2300,47 unequal: No Solution
Moving to Node #0,4,4
Current State: 47:[76, 9], Operations: ['94-18=76', '25-16=9']
Exploring Operation: 76+9=85, Resulting Numbers: [85]
85,47 unequal: No Solution
Exploring Operation: 76*9=684, Resulting Numbers: [684]
684,47 unequal: No Solution
Exploring Operation: 76-9=67, Resulting Numbers: [67]
67,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_5
|
sum_heuristic
|
[
91,
77,
99,
35
] | 72
|
[
"91-35=56",
"99*56=5544",
"5544/77=72"
] |
Current State: 72:[91, 77, 99, 35], Operations: []
Exploring Operation: 91-35=56, Resulting Numbers: [77, 99, 56]
Generated Node #2: [77, 99, 56] from Operation: 91-35=56
Current State: 72:[77, 99, 56], Operations: ['91-35=56']
Exploring Operation: 99*56=5544, Resulting Numbers: [77, 5544]
Generated Node #3: [77, 5544] from Operation: 99*56=5544
Current State: 72:[77, 5544], Operations: ['91-35=56', '99*56=5544']
Exploring Operation: 5544/77=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4
|
Current State: 72:[91, 77, 99, 35], Operations: []
Exploring Operation: 99-77=22, Resulting Numbers: [91, 35, 22]
Generated Node #0,0: 72:[91, 35, 22] Operation: 99-77=22
Exploring Operation: 91-77=14, Resulting Numbers: [99, 35, 14]
Generated Node #0,1: 72:[99, 35, 14] Operation: 91-77=14
Exploring Operation: 99-91=8, Resulting Numbers: [77, 35, 8]
Generated Node #0,2: 72:[77, 35, 8] Operation: 99-91=8
Exploring Operation: 99-35=64, Resulting Numbers: [91, 77, 64]
Generated Node #0,3: 72:[91, 77, 64] Operation: 99-35=64
Start Sub Search at level 1: Moving to Node #0,2
Current State: 72:[77, 35, 8], Operations: ['99-91=8']
Exploring Operation: 35-8=27, Resulting Numbers: [77, 27]
Generated Node #0,2,0: 72:[77, 27] Operation: 35-8=27
Exploring Operation: 77-8=69, Resulting Numbers: [35, 69]
Generated Node #0,2,1: 72:[35, 69] Operation: 77-8=69
Exploring Operation: 35+8=43, Resulting Numbers: [77, 43]
Generated Node #0,2,2: 72:[77, 43] Operation: 35+8=43
Exploring Operation: 77-35=42, Resulting Numbers: [8, 42]
Generated Node #0,2,3: 72:[8, 42] Operation: 77-35=42
Moving to Node #0,2,1
Current State: 72:[35, 69], Operations: ['99-91=8', '77-8=69']
Exploring Operation: 35*69=2415, Resulting Numbers: [2415]
2415,72 unequal: No Solution
Exploring Operation: 69-35=34, Resulting Numbers: [34]
34,72 unequal: No Solution
Exploring Operation: 35+69=104, Resulting Numbers: [104]
104,72 unequal: No Solution
Moving to Node #0,2,3
Current State: 72:[8, 42], Operations: ['99-91=8', '77-35=42']
Exploring Operation: 8+42=50, Resulting Numbers: [50]
50,72 unequal: No Solution
Exploring Operation: 8*42=336, Resulting Numbers: [336]
336,72 unequal: No Solution
Exploring Operation: 42-8=34, Resulting Numbers: [34]
34,72 unequal: No Solution
Moving to Node #0,2,0
Current State: 72:[77, 27], Operations: ['99-91=8', '35-8=27']
Exploring Operation: 77*27=2079, Resulting Numbers: [2079]
2079,72 unequal: No Solution
Exploring Operation: 77+27=104, Resulting Numbers: [104]
104,72 unequal: No Solution
Exploring Operation: 77-27=50, Resulting Numbers: [50]
50,72 unequal: No Solution
Moving to Node #0,2,2
Current State: 72:[77, 43], Operations: ['99-91=8', '35+8=43']
Exploring Operation: 77-43=34, Resulting Numbers: [34]
34,72 unequal: No Solution
Exploring Operation: 77+43=120, Resulting Numbers: [120]
120,72 unequal: No Solution
Exploring Operation: 77*43=3311, Resulting Numbers: [3311]
3311,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[91, 35, 22], Operations: ['99-77=22']
Exploring Operation: 35+22=57, Resulting Numbers: [91, 57]
Generated Node #0,0,0: 72:[91, 57] Operation: 35+22=57
Exploring Operation: 91-35=56, Resulting Numbers: [22, 56]
Generated Node #0,0,1: 72:[22, 56] Operation: 91-35=56
Exploring Operation: 91-22=69, Resulting Numbers: [35, 69]
Generated Node #0,0,2: 72:[35, 69] Operation: 91-22=69
Exploring Operation: 35-22=13, Resulting Numbers: [91, 13]
Generated Node #0,0,3: 72:[91, 13] Operation: 35-22=13
Moving to Node #0,0,2
Current State: 72:[35, 69], Operations: ['99-77=22', '91-22=69']
Exploring Operation: 69-35=34, Resulting Numbers: [34]
34,72 unequal: No Solution
Exploring Operation: 35+69=104, Resulting Numbers: [104]
104,72 unequal: No Solution
Exploring Operation: 35*69=2415, Resulting Numbers: [2415]
2415,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[22, 56], Operations: ['99-77=22', '91-35=56']
Exploring Operation: 56-22=34, Resulting Numbers: [34]
34,72 unequal: No Solution
Exploring Operation: 22+56=78, Resulting Numbers: [78]
78,72 unequal: No Solution
Exploring Operation: 22*56=1232, Resulting Numbers: [1232]
1232,72 unequal: No Solution
Moving to Node #0,0,3
Current State: 72:[91, 13], Operations: ['99-77=22', '35-22=13']
Exploring Operation: 91-13=78, Resulting Numbers: [78]
78,72 unequal: No Solution
Exploring Operation: 91+13=104, Resulting Numbers: [104]
104,72 unequal: No Solution
Exploring Operation: 91*13=1183, Resulting Numbers: [1183]
1183,72 unequal: No Solution
Exploring Operation: 91/13=7, Resulting Numbers: [7]
7,72 unequal: No Solution
Moving to Node #0,0,0
Current State: 72:[91, 57], Operations: ['99-77=22', '35+22=57']
Exploring Operation: 91-57=34, Resulting Numbers: [34]
34,72 unequal: No Solution
Exploring Operation: 91+57=148, Resulting Numbers: [148]
148,72 unequal: No Solution
Exploring Operation: 91*57=5187, Resulting Numbers: [5187]
5187,72 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:[99, 35, 14], Operations: ['91-77=14']
Exploring Operation: 35-14=21, Resulting Numbers: [99, 21]
Generated Node #0,1,0: 72:[99, 21] Operation: 35-14=21
Exploring Operation: 35+14=49, Resulting Numbers: [99, 49]
Generated Node #0,1,1: 72:[99, 49] Operation: 35+14=49
Exploring Operation: 99-35=64, Resulting Numbers: [14, 64]
Generated Node #0,1,2: 72:[14, 64] Operation: 99-35=64
Exploring Operation: 99-14=85, Resulting Numbers: [35, 85]
Generated Node #0,1,3: 72:[35, 85] Operation: 99-14=85
Moving to Node #0,1,2
Current State: 72:[14, 64], Operations: ['91-77=14', '99-35=64']
Exploring Operation: 64-14=50, Resulting Numbers: [50]
50,72 unequal: No Solution
Exploring Operation: 14+64=78, Resulting Numbers: [78]
78,72 unequal: No Solution
Exploring Operation: 14*64=896, Resulting Numbers: [896]
896,72 unequal: No Solution
Moving to Node #0,1,3
Current State: 72:[35, 85], Operations: ['91-77=14', '99-14=85']
Exploring Operation: 35+85=120, Resulting Numbers: [120]
120,72 unequal: No Solution
Exploring Operation: 85-35=50, Resulting Numbers: [50]
50,72 unequal: No Solution
Exploring Operation: 35*85=2975, Resulting Numbers: [2975]
2975,72 unequal: No Solution
Moving to Node #0,1,0
Current State: 72:[99, 21], Operations: ['91-77=14', '35-14=21']
Exploring Operation: 99+21=120, Resulting Numbers: [120]
120,72 unequal: No Solution
Exploring Operation: 99-21=78, Resulting Numbers: [78]
78,72 unequal: No Solution
Exploring Operation: 99*21=2079, Resulting Numbers: [2079]
2079,72 unequal: No Solution
Moving to Node #0,1,1
Current State: 72:[99, 49], Operations: ['91-77=14', '35+14=49']
Exploring Operation: 99+49=148, Resulting Numbers: [148]
148,72 unequal: No Solution
Exploring Operation: 99*49=4851, Resulting Numbers: [4851]
4851,72 unequal: No Solution
Exploring Operation: 99-49=50, Resulting Numbers: [50]
50,72 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 #0,3
Current State: 72:[91, 77, 64], Operations: ['99-35=64']
Exploring Operation: 91+64=155, Resulting Numbers: [77, 155]
Generated Node #0,3,0: 72:[77, 155] Operation: 91+64=155
Exploring Operation: 91-64=27, Resulting Numbers: [77, 27]
Generated Node #0,3,1: 72:[77, 27] Operation: 91-64=27
Exploring Operation: 91-77=14, Resulting Numbers: [64, 14]
Generated Node #0,3,2: 72:[64, 14] Operation: 91-77=14
Exploring Operation: 77-64=13, Resulting Numbers: [91, 13]
Generated Node #0,3,3: 72:[91, 13] Operation: 77-64=13
Moving to Node #0,3,1
Current State: 72:[77, 27], Operations: ['99-35=64', '91-64=27']
Exploring Operation: 77+27=104, Resulting Numbers: [104]
104,72 unequal: No Solution
Exploring Operation: 77-27=50, Resulting Numbers: [50]
50,72 unequal: No Solution
Exploring Operation: 77*27=2079, Resulting Numbers: [2079]
2079,72 unequal: No Solution
Moving to Node #0,3,2
Current State: 72:[64, 14], Operations: ['99-35=64', '91-77=14']
Exploring Operation: 64-14=50, Resulting Numbers: [50]
50,72 unequal: No Solution
Exploring Operation: 64*14=896, Resulting Numbers: [896]
896,72 unequal: No Solution
Exploring Operation: 64+14=78, Resulting Numbers: [78]
78,72 unequal: No Solution
Moving to Node #0,3,3
Current State: 72:[91, 13], Operations: ['99-35=64', '77-64=13']
Exploring Operation: 91/13=7, Resulting Numbers: [7]
7,72 unequal: No Solution
Exploring Operation: 91+13=104, Resulting Numbers: [104]
104,72 unequal: No Solution
Exploring Operation: 91*13=1183, Resulting Numbers: [1183]
1183,72 unequal: No Solution
Exploring Operation: 91-13=78, Resulting Numbers: [78]
78,72 unequal: No Solution
Moving to Node #0,3,0
Current State: 72:[77, 155], Operations: ['99-35=64', '91+64=155']
Exploring Operation: 155-77=78, Resulting Numbers: [78]
78,72 unequal: No Solution
Exploring Operation: 77+155=232, Resulting Numbers: [232]
232,72 unequal: No Solution
Exploring Operation: 77*155=11935, Resulting Numbers: [11935]
11935,72 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
|
[
14,
84,
93,
3
] | 96
|
[
"84/14=6",
"93-3=90",
"6+90=96"
] |
Current State: 96:[14, 84, 93, 3], Operations: []
Exploring Operation: 84/14=6, Resulting Numbers: [93, 3, 6]
Generated Node #2: [93, 3, 6] from Operation: 84/14=6
Current State: 96:[93, 3, 6], Operations: ['84/14=6']
Exploring Operation: 93-3=90, Resulting Numbers: [6, 90]
Generated Node #3: [6, 90] from Operation: 93-3=90
Current State: 96:[6, 90], Operations: ['84/14=6', '93-3=90']
Exploring Operation: 6+90=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4
|
Current State: 96:[14, 84, 93, 3], Operations: []
Exploring Operation: 84/14=6, Resulting Numbers: [93, 3, 6]
Generated Node #0,0: 96:[93, 3, 6] Operation: 84/14=6
Exploring Operation: 93-84=9, Resulting Numbers: [14, 3, 9]
Generated Node #0,1: 96:[14, 3, 9] Operation: 93-84=9
Moving to Node #0,0
Current State: 96:[93, 3, 6], Operations: ['84/14=6']
Exploring Operation: 93/3=31, Resulting Numbers: [6, 31]
Generated Node #0,0,0: 96:[6, 31] Operation: 93/3=31
Exploring Operation: 93+3=96, Resulting Numbers: [6, 96]
Generated Node #0,0,1: 96:[6, 96] Operation: 93+3=96
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 96:[6, 96], Operations: ['84/14=6', '93+3=96']
Exploring Operation: 6+96=102, Resulting Numbers: [102]
102,96 unequal: No Solution
Exploring Operation: 96/6=16, Resulting Numbers: [16]
16,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 96:[6, 31], Operations: ['84/14=6', '93/3=31']
Exploring Operation: 6+31=37, Resulting Numbers: [37]
37,96 unequal: No Solution
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,96 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: 96:[14, 3, 9], Operations: ['93-84=9']
Exploring Operation: 14+9=23, Resulting Numbers: [3, 23]
Generated Node #0,1,0: 96:[3, 23] Operation: 14+9=23
Exploring Operation: 14-9=5, Resulting Numbers: [3, 5]
Generated Node #0,1,1: 96:[3, 5] Operation: 14-9=5
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 96:[3, 23], Operations: ['93-84=9', '14+9=23']
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,96 unequal: No Solution
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 96:[3, 5], Operations: ['93-84=9', '14-9=5']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,96 unequal: No Solution
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,96 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
|
[
21,
93,
3,
23
] | 63
|
[
"21/3=7",
"93-23=70",
"70-7=63"
] |
Current State: 63:[21, 93, 3, 23], Operations: []
Exploring Operation: 21/3=7, Resulting Numbers: [93, 23, 7]
Generated Node #2: [93, 23, 7] from Operation: 21/3=7
Current State: 63:[93, 23, 7], Operations: ['21/3=7']
Exploring Operation: 93-23=70, Resulting Numbers: [7, 70]
Generated Node #3: [7, 70] from Operation: 93-23=70
Current State: 63:[7, 70], Operations: ['21/3=7', '93-23=70']
Exploring Operation: 70-7=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4
|
Current State: 63:[21, 93, 3, 23], Operations: []
Exploring Operation: 93-21=72, Resulting Numbers: [3, 23, 72]
Generated Node #0,0: 63:[3, 23, 72] Operation: 93-21=72
Exploring Operation: 93-23=70, Resulting Numbers: [21, 3, 70]
Generated Node #0,1: 63:[21, 3, 70] Operation: 93-23=70
Exploring Operation: 93-3=90, Resulting Numbers: [21, 23, 90]
Generated Node #0,2: 63:[21, 23, 90] Operation: 93-3=90
Exploring Operation: 93/3=31, Resulting Numbers: [21, 23, 31]
Generated Node #0,3: 63:[21, 23, 31] Operation: 93/3=31
Exploring Operation: 23-21=2, Resulting Numbers: [93, 3, 2]
Generated Node #0,4: 63:[93, 3, 2] Operation: 23-21=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 63:[21, 3, 70], Operations: ['93-23=70']
Exploring Operation: 21/3=7, Resulting Numbers: [70, 7]
Generated Node #0,1,0: 63:[70, 7] Operation: 21/3=7
Exploring Operation: 21+3=24, Resulting Numbers: [70, 24]
Generated Node #0,1,1: 63:[70, 24] Operation: 21+3=24
Exploring Operation: 70-3=67, Resulting Numbers: [21, 67]
Generated Node #0,1,2: 63:[21, 67] Operation: 70-3=67
Exploring Operation: 21*3=63, Resulting Numbers: [70, 63]
Generated Node #0,1,3: 63:[70, 63] Operation: 21*3=63
Exploring Operation: 21-3=18, Resulting Numbers: [70, 18]
Generated Node #0,1,4: 63:[70, 18] Operation: 21-3=18
Moving to Node #0,1,2
Current State: 63:[21, 67], Operations: ['93-23=70', '70-3=67']
Exploring Operation: 67-21=46, Resulting Numbers: [46]
46,63 unequal: No Solution
Exploring Operation: 21+67=88, Resulting Numbers: [88]
88,63 unequal: No Solution
Exploring Operation: 21*67=1407, Resulting Numbers: [1407]
1407,63 unequal: No Solution
Moving to Node #0,1,3
Current State: 63:[70, 63], Operations: ['93-23=70', '21*3=63']
Exploring Operation: 70+63=133, Resulting Numbers: [133]
133,63 unequal: No Solution
Exploring Operation: 70-63=7, Resulting Numbers: [7]
7,63 unequal: No Solution
Exploring Operation: 70*63=4410, Resulting Numbers: [4410]
4410,63 unequal: No Solution
Moving to Node #0,1,0
Current State: 63:[70, 7], Operations: ['93-23=70', '21/3=7']
Exploring Operation: 70*7=490, Resulting Numbers: [490]
490,63 unequal: No Solution
Exploring Operation: 70-7=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[21, 93, 3, 23], Operations: []
Exploring Operation: 93-23=70, Resulting Numbers: [21, 3, 70]
Generated Node #0,1: 63:[21, 3, 70] Operation: 93-23=70
Moving to Node #0,1
Current State: 63:[21, 3, 70], Operations: ['93-23=70']
Exploring Operation: 21/3=7, Resulting Numbers: [70, 7]
Generated Node #0,1,0: 63:[70, 7] Operation: 21/3=7
Moving to Node #0,1,0
Current State: 63:[70, 7], Operations: ['93-23=70', '21/3=7']
Exploring Operation: 70-7=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903
|
hs_5
|
sum_heuristic
|
[
2,
76,
32,
84
] | 36
|
[
"2*76=152",
"32+84=116",
"152-116=36"
] |
Current State: 36:[2, 76, 32, 84], Operations: []
Exploring Operation: 2*76=152, Resulting Numbers: [32, 84, 152]
Generated Node #2: [32, 84, 152] from Operation: 2*76=152
Current State: 36:[32, 84, 152], Operations: ['2*76=152']
Exploring Operation: 32+84=116, Resulting Numbers: [152, 116]
Generated Node #3: [152, 116] from Operation: 32+84=116
Current State: 36:[152, 116], Operations: ['2*76=152', '32+84=116']
Exploring Operation: 152-116=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4
|
Current State: 36:[2, 76, 32, 84], Operations: []
Exploring Operation: 84/2=42, Resulting Numbers: [76, 32, 42]
Generated Node #0,0: 36:[76, 32, 42] Operation: 84/2=42
Exploring Operation: 76/2=38, Resulting Numbers: [32, 84, 38]
Generated Node #0,1: 36:[32, 84, 38] Operation: 76/2=38
Exploring Operation: 84-76=8, Resulting Numbers: [2, 32, 8]
Generated Node #0,2: 36:[2, 32, 8] Operation: 84-76=8
Start Sub Search at level 1: Moving to Node #0,2
Current State: 36:[2, 32, 8], Operations: ['84-76=8']
Exploring Operation: 32/8=4, Resulting Numbers: [2, 4]
Generated Node #0,2,0: 36:[2, 4] Operation: 32/8=4
Exploring Operation: 2+32=34, Resulting Numbers: [8, 34]
Generated Node #0,2,1: 36:[8, 34] Operation: 2+32=34
Exploring Operation: 32/2=16, Resulting Numbers: [8, 16]
Generated Node #0,2,2: 36:[8, 16] Operation: 32/2=16
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 36:[2, 4], Operations: ['84-76=8', '32/8=4']
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,36 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,36 unequal: No Solution
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,36 unequal: No Solution
No 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: 36:[8, 34], Operations: ['84-76=8', '2+32=34']
Exploring Operation: 34-8=26, Resulting Numbers: [26]
26,36 unequal: No Solution
Exploring Operation: 8*34=272, Resulting Numbers: [272]
272,36 unequal: No Solution
Exploring Operation: 8+34=42, Resulting Numbers: [42]
42,36 unequal: No Solution
No 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: 36:[8, 16], Operations: ['84-76=8', '32/2=16']
Exploring Operation: 16/8=2, Resulting Numbers: [2]
2,36 unequal: No Solution
Exploring Operation: 16-8=8, Resulting Numbers: [8]
8,36 unequal: No Solution
Exploring Operation: 8+16=24, Resulting Numbers: [24]
24,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[76, 32, 42], Operations: ['84/2=42']
Exploring Operation: 42-32=10, Resulting Numbers: [76, 10]
Generated Node #0,0,0: 36:[76, 10] Operation: 42-32=10
Exploring Operation: 76-42=34, Resulting Numbers: [32, 34]
Generated Node #0,0,1: 36:[32, 34] Operation: 76-42=34
Exploring Operation: 76-32=44, Resulting Numbers: [42, 44]
Generated Node #0,0,2: 36:[42, 44] Operation: 76-32=44
Moving to Node #0,0,1
Current State: 36:[32, 34], Operations: ['84/2=42', '76-42=34']
Exploring Operation: 32+34=66, Resulting Numbers: [66]
66,36 unequal: No Solution
Exploring Operation: 34-32=2, Resulting Numbers: [2]
2,36 unequal: No Solution
Exploring Operation: 32*34=1088, Resulting Numbers: [1088]
1088,36 unequal: No Solution
Moving to Node #0,0,2
Current State: 36:[42, 44], Operations: ['84/2=42', '76-32=44']
Exploring Operation: 42*44=1848, Resulting Numbers: [1848]
1848,36 unequal: No Solution
Exploring Operation: 42+44=86, Resulting Numbers: [86]
86,36 unequal: No Solution
Exploring Operation: 44-42=2, Resulting Numbers: [2]
2,36 unequal: No Solution
Moving to Node #0,0,0
Current State: 36:[76, 10], Operations: ['84/2=42', '42-32=10']
Exploring Operation: 76-10=66, Resulting Numbers: [66]
66,36 unequal: No Solution
Exploring Operation: 76*10=760, Resulting Numbers: [760]
760,36 unequal: No Solution
Exploring Operation: 76+10=86, Resulting Numbers: [86]
86,36 unequal: No Solution
No 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: 36:[32, 84, 38], Operations: ['76/2=38']
Exploring Operation: 84-38=46, Resulting Numbers: [32, 46]
Generated Node #0,1,0: 36:[32, 46] Operation: 84-38=46
Exploring Operation: 38-32=6, Resulting Numbers: [84, 6]
Generated Node #0,1,1: 36:[84, 6] Operation: 38-32=6
Exploring Operation: 84-32=52, Resulting Numbers: [38, 52]
Generated Node #0,1,2: 36:[38, 52] Operation: 84-32=52
Moving to Node #0,1,0
Current State: 36:[32, 46], Operations: ['76/2=38', '84-38=46']
Exploring Operation: 46-32=14, Resulting Numbers: [14]
14,36 unequal: No Solution
Exploring Operation: 32*46=1472, Resulting Numbers: [1472]
1472,36 unequal: No Solution
Exploring Operation: 32+46=78, Resulting Numbers: [78]
78,36 unequal: No Solution
Moving to Node #0,1,2
Current State: 36:[38, 52], Operations: ['76/2=38', '84-32=52']
Exploring Operation: 38+52=90, Resulting Numbers: [90]
90,36 unequal: No Solution
Exploring Operation: 52-38=14, Resulting Numbers: [14]
14,36 unequal: No Solution
Exploring Operation: 38*52=1976, Resulting Numbers: [1976]
1976,36 unequal: No Solution
Moving to Node #0,1,1
Current State: 36:[84, 6], Operations: ['76/2=38', '38-32=6']
Exploring Operation: 84/6=14, Resulting Numbers: [14]
14,36 unequal: No Solution
Exploring Operation: 84+6=90, Resulting Numbers: [90]
90,36 unequal: No Solution
Exploring Operation: 84-6=78, Resulting Numbers: [78]
78,36 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
|
[
14,
74,
32,
76
] | 79
|
[
"74-32=42",
"42/14=3",
"76+3=79"
] |
Current State: 79:[14, 74, 32, 76], Operations: []
Exploring Operation: 74-32=42, Resulting Numbers: [14, 76, 42]
Generated Node #2: [14, 76, 42] from Operation: 74-32=42
Current State: 79:[14, 76, 42], Operations: ['74-32=42']
Exploring Operation: 42/14=3, Resulting Numbers: [76, 3]
Generated Node #3: [76, 3] from Operation: 42/14=3
Current State: 79:[76, 3], Operations: ['74-32=42', '42/14=3']
Exploring Operation: 76+3=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4
|
Current State: 79:[14, 74, 32, 76], Operations: []
Exploring Operation: 14+32=46, Resulting Numbers: [74, 76, 46]
Generated Node #0,0: 79:[74, 76, 46] Operation: 14+32=46
Moving to Node #0,0
Current State: 79:[74, 76, 46], Operations: ['14+32=46']
Exploring Operation: 74+46=120, Resulting Numbers: [76, 120]
Generated Node #0,0,0: 79:[76, 120] Operation: 74+46=120
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 79:[76, 120], Operations: ['14+32=46', '74+46=120']
Exploring Operation: 120-76=44, Resulting Numbers: [44]
44,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
98,
13,
39,
55
] | 11
|
[
"13*39=507",
"98+507=605",
"605/55=11"
] |
Current State: 11:[98, 13, 39, 55], Operations: []
Exploring Operation: 13*39=507, Resulting Numbers: [98, 55, 507]
Generated Node #2: [98, 55, 507] from Operation: 13*39=507
Current State: 11:[98, 55, 507], Operations: ['13*39=507']
Exploring Operation: 98+507=605, Resulting Numbers: [55, 605]
Generated Node #3: [55, 605] from Operation: 98+507=605
Current State: 11:[55, 605], Operations: ['13*39=507', '98+507=605']
Exploring Operation: 605/55=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4
|
Current State: 11:[98, 13, 39, 55], Operations: []
Exploring Operation: 98-55=43, Resulting Numbers: [13, 39, 43]
Generated Node #0,0: 11:[13, 39, 43] Operation: 98-55=43
Exploring Operation: 39/13=3, Resulting Numbers: [98, 55, 3]
Generated Node #0,1: 11:[98, 55, 3] Operation: 39/13=3
Exploring Operation: 55-39=16, Resulting Numbers: [98, 13, 16]
Generated Node #0,2: 11:[98, 13, 16] Operation: 55-39=16
Exploring Operation: 98-39=59, Resulting Numbers: [13, 55, 59]
Generated Node #0,3: 11:[13, 55, 59] Operation: 98-39=59
Moving to Node #0,0
Current State: 11:[13, 39, 43], Operations: ['98-55=43']
Exploring Operation: 43-39=4, Resulting Numbers: [13, 4]
Generated Node #0,0,0: 11:[13, 4] Operation: 43-39=4
Exploring Operation: 43-13=30, Resulting Numbers: [39, 30]
Generated Node #0,0,1: 11:[39, 30] Operation: 43-13=30
Exploring Operation: 39/13=3, Resulting Numbers: [43, 3]
Generated Node #0,0,2: 11:[43, 3] Operation: 39/13=3
Exploring Operation: 39-13=26, Resulting Numbers: [43, 26]
Generated Node #0,0,3: 11:[43, 26] Operation: 39-13=26
Moving to Node #0,3
Current State: 11:[13, 55, 59], Operations: ['98-39=59']
Exploring Operation: 55-13=42, Resulting Numbers: [59, 42]
Generated Node #0,3,0: 11:[59, 42] Operation: 55-13=42
Exploring Operation: 59-13=46, Resulting Numbers: [55, 46]
Generated Node #0,3,1: 11:[55, 46] Operation: 59-13=46
Exploring Operation: 13+55=68, Resulting Numbers: [59, 68]
Generated Node #0,3,2: 11:[59, 68] Operation: 13+55=68
Exploring Operation: 59-55=4, Resulting Numbers: [13, 4]
Generated Node #0,3,3: 11:[13, 4] Operation: 59-55=4
Moving to Node #0,2
Current State: 11:[98, 13, 16], Operations: ['55-39=16']
Exploring Operation: 98-16=82, Resulting Numbers: [13, 82]
Generated Node #0,2,0: 11:[13, 82] Operation: 98-16=82
Exploring Operation: 16-13=3, Resulting Numbers: [98, 3]
Generated Node #0,2,1: 11:[98, 3] Operation: 16-13=3
Exploring Operation: 98-13=85, Resulting Numbers: [16, 85]
Generated Node #0,2,2: 11:[16, 85] Operation: 98-13=85
Exploring Operation: 98+13=111, Resulting Numbers: [16, 111]
Generated Node #0,2,3: 11:[16, 111] Operation: 98+13=111
Moving to Node #0,1
Current State: 11:[98, 55, 3], Operations: ['39/13=3']
Exploring Operation: 98-3=95, Resulting Numbers: [55, 95]
Generated Node #0,1,0: 11:[55, 95] Operation: 98-3=95
Exploring Operation: 98+3=101, Resulting Numbers: [55, 101]
Generated Node #0,1,1: 11:[55, 101] Operation: 98+3=101
Exploring Operation: 55-3=52, Resulting Numbers: [98, 52]
Generated Node #0,1,2: 11:[98, 52] Operation: 55-3=52
Exploring Operation: 98-55=43, Resulting Numbers: [3, 43]
Generated Node #0,1,3: 11:[3, 43] Operation: 98-55=43
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 11:[3, 43], Operations: ['39/13=3', '98-55=43']
Exploring Operation: 3*43=129, Resulting Numbers: [129]
129,11 unequal: No Solution
Exploring Operation: 3+43=46, Resulting Numbers: [46]
46,11 unequal: No Solution
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,11 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:[55, 95], Operations: ['39/13=3', '98-3=95']
Exploring Operation: 55+95=150, Resulting Numbers: [150]
150,11 unequal: No Solution
Exploring Operation: 55*95=5225, Resulting Numbers: [5225]
5225,11 unequal: No Solution
Exploring Operation: 95-55=40, Resulting Numbers: [40]
40,11 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:[98, 52], Operations: ['39/13=3', '55-3=52']
Exploring Operation: 98*52=5096, Resulting Numbers: [5096]
5096,11 unequal: No Solution
Exploring Operation: 98-52=46, Resulting Numbers: [46]
46,11 unequal: No Solution
Exploring Operation: 98+52=150, Resulting Numbers: [150]
150,11 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 #0,1,1
Current State: 11:[55, 101], Operations: ['39/13=3', '98+3=101']
Exploring Operation: 101-55=46, Resulting Numbers: [46]
46,11 unequal: No Solution
Exploring Operation: 55*101=5555, Resulting Numbers: [5555]
5555,11 unequal: No Solution
Exploring Operation: 55+101=156, Resulting Numbers: [156]
156,11 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: 11:[13, 4], Operations: ['98-55=43', '43-39=4']
Exploring Operation: 13+4=17, Resulting Numbers: [17]
17,11 unequal: No Solution
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,11 unequal: No Solution
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Moving to Node #0,3,3
Current State: 11:[13, 4], Operations: ['98-39=59', '59-55=4']
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,11 unequal: No Solution
Exploring Operation: 13+4=17, Resulting Numbers: [17]
17,11 unequal: No Solution
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Moving to Node #0,0,2
Current State: 11:[43, 3], Operations: ['98-55=43', '39/13=3']
Exploring Operation: 43+3=46, Resulting Numbers: [46]
46,11 unequal: No Solution
Exploring Operation: 43*3=129, Resulting Numbers: [129]
129,11 unequal: No Solution
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,11 unequal: No Solution
Moving to Node #0,0,1
Current State: 11:[39, 30], Operations: ['98-55=43', '43-13=30']
Exploring Operation: 39-30=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Exploring Operation: 39*30=1170, Resulting Numbers: [1170]
1170,11 unequal: No Solution
Exploring Operation: 39+30=69, Resulting Numbers: [69]
69,11 unequal: No Solution
Moving to Node #0,0,3
Current State: 11:[43, 26], Operations: ['98-55=43', '39-13=26']
Exploring Operation: 43+26=69, Resulting Numbers: [69]
69,11 unequal: No Solution
Exploring Operation: 43*26=1118, Resulting Numbers: [1118]
1118,11 unequal: No Solution
Exploring Operation: 43-26=17, Resulting Numbers: [17]
17,11 unequal: No Solution
Moving to Node #0,2,0
Current State: 11:[13, 82], Operations: ['55-39=16', '98-16=82']
Exploring Operation: 13*82=1066, Resulting Numbers: [1066]
1066,11 unequal: No Solution
Exploring Operation: 82-13=69, Resulting Numbers: [69]
69,11 unequal: No Solution
Exploring Operation: 13+82=95, Resulting Numbers: [95]
95,11 unequal: No Solution
Moving to Node #0,3,1
Current State: 11:[55, 46], Operations: ['98-39=59', '59-13=46']
Exploring Operation: 55+46=101, Resulting Numbers: [101]
101,11 unequal: No Solution
Exploring Operation: 55-46=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Exploring Operation: 55*46=2530, Resulting Numbers: [2530]
2530,11 unequal: No Solution
Moving to Node #0,3,0
Current State: 11:[59, 42], Operations: ['98-39=59', '55-13=42']
Exploring Operation: 59+42=101, Resulting Numbers: [101]
101,11 unequal: No Solution
Exploring Operation: 59-42=17, Resulting Numbers: [17]
17,11 unequal: No Solution
Exploring Operation: 59*42=2478, Resulting Numbers: [2478]
2478,11 unequal: No Solution
Moving to Node #0,2,2
Current State: 11:[16, 85], Operations: ['55-39=16', '98-13=85']
Exploring Operation: 16+85=101, Resulting Numbers: [101]
101,11 unequal: No Solution
Exploring Operation: 16*85=1360, Resulting Numbers: [1360]
1360,11 unequal: No Solution
Exploring Operation: 85-16=69, Resulting Numbers: [69]
69,11 unequal: No Solution
Moving to Node #0,2,1
Current State: 11:[98, 3], Operations: ['55-39=16', '16-13=3']
Exploring Operation: 98-3=95, Resulting Numbers: [95]
95,11 unequal: No Solution
Exploring Operation: 98+3=101, Resulting Numbers: [101]
101,11 unequal: No Solution
Exploring Operation: 98*3=294, Resulting Numbers: [294]
294,11 unequal: No Solution
Moving to Node #0,3,2
Current State: 11:[59, 68], Operations: ['98-39=59', '13+55=68']
Exploring Operation: 68-59=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Exploring Operation: 59*68=4012, Resulting Numbers: [4012]
4012,11 unequal: No Solution
Exploring Operation: 59+68=127, Resulting Numbers: [127]
127,11 unequal: No Solution
Moving to Node #0,2,3
Current State: 11:[16, 111], Operations: ['55-39=16', '98+13=111']
Exploring Operation: 111-16=95, Resulting Numbers: [95]
95,11 unequal: No Solution
Exploring Operation: 16+111=127, Resulting Numbers: [127]
127,11 unequal: No Solution
Exploring Operation: 16*111=1776, Resulting Numbers: [1776]
1776,11 unequal: No Solution
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
[
39,
31,
4,
62
] | 61
|
[
"62-39=23",
"4*23=92",
"92-31=61"
] |
Current State: 61:[39, 31, 4, 62], Operations: []
Exploring Operation: 62-39=23, Resulting Numbers: [31, 4, 23]
Generated Node #2: [31, 4, 23] from Operation: 62-39=23
Current State: 61:[31, 4, 23], Operations: ['62-39=23']
Exploring Operation: 4*23=92, Resulting Numbers: [31, 92]
Generated Node #3: [31, 92] from Operation: 4*23=92
Current State: 61:[31, 92], Operations: ['62-39=23', '4*23=92']
Exploring Operation: 92-31=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4
|
Current State: 61:[39, 31, 4, 62], Operations: []
Exploring Operation: 62-4=58, Resulting Numbers: [39, 31, 58]
Generated Node #0,0: 61:[39, 31, 58] Operation: 62-4=58
Exploring Operation: 39-4=35, Resulting Numbers: [31, 62, 35]
Generated Node #0,1: 61:[31, 62, 35] Operation: 39-4=35
Exploring Operation: 31-4=27, Resulting Numbers: [39, 62, 27]
Generated Node #0,2: 61:[39, 62, 27] Operation: 31-4=27
Exploring Operation: 39+4=43, Resulting Numbers: [31, 62, 43]
Generated Node #0,3: 61:[31, 62, 43] Operation: 39+4=43
Exploring Operation: 31+4=35, Resulting Numbers: [39, 62, 35]
Generated Node #0,4: 61:[39, 62, 35] Operation: 31+4=35
Moving to Node #0,3
Current State: 61:[31, 62, 43], Operations: ['39+4=43']
Exploring Operation: 43-31=12, Resulting Numbers: [62, 12]
Generated Node #0,3,0: 61:[62, 12] Operation: 43-31=12
Exploring Operation: 31+62=93, Resulting Numbers: [43, 93]
Generated Node #0,3,1: 61:[43, 93] Operation: 31+62=93
Exploring Operation: 31+43=74, Resulting Numbers: [62, 74]
Generated Node #0,3,2: 61:[62, 74] Operation: 31+43=74
Exploring Operation: 62-43=19, Resulting Numbers: [31, 19]
Generated Node #0,3,3: 61:[31, 19] Operation: 62-43=19
Exploring Operation: 62-31=31, Resulting Numbers: [43, 31]
Generated Node #0,3,4: 61:[43, 31] Operation: 62-31=31
Moving to Node #0,4
Current State: 61:[39, 62, 35], Operations: ['31+4=35']
Exploring Operation: 39+35=74, Resulting Numbers: [62, 74]
Generated Node #0,4,0: 61:[62, 74] Operation: 39+35=74
Exploring Operation: 62-39=23, Resulting Numbers: [35, 23]
Generated Node #0,4,1: 61:[35, 23] Operation: 62-39=23
Exploring Operation: 62-35=27, Resulting Numbers: [39, 27]
Generated Node #0,4,2: 61:[39, 27] Operation: 62-35=27
Exploring Operation: 39-35=4, Resulting Numbers: [62, 4]
Generated Node #0,4,3: 61:[62, 4] Operation: 39-35=4
Exploring Operation: 62+35=97, Resulting Numbers: [39, 97]
Generated Node #0,4,4: 61:[39, 97] Operation: 62+35=97
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 61:[62, 74], Operations: ['31+4=35', '39+35=74']
Exploring Operation: 62+74=136, Resulting Numbers: [136]
136,61 unequal: No Solution
Exploring Operation: 74-62=12, Resulting Numbers: [12]
12,61 unequal: No Solution
Exploring Operation: 62*74=4588, Resulting Numbers: [4588]
4588,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 61:[39, 27], Operations: ['31+4=35', '62-35=27']
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,61 unequal: No Solution
Exploring Operation: 39*27=1053, Resulting Numbers: [1053]
1053,61 unequal: No Solution
Exploring Operation: 39+27=66, Resulting Numbers: [66]
66,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 61:[62, 4], Operations: ['31+4=35', '39-35=4']
Exploring Operation: 62+4=66, Resulting Numbers: [66]
66,61 unequal: No Solution
Exploring Operation: 62*4=248, Resulting Numbers: [248]
248,61 unequal: No Solution
Exploring Operation: 62-4=58, Resulting Numbers: [58]
58,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 61:[39, 97], Operations: ['31+4=35', '62+35=97']
Exploring Operation: 97-39=58, Resulting Numbers: [58]
58,61 unequal: No Solution
Exploring Operation: 39+97=136, Resulting Numbers: [136]
136,61 unequal: No Solution
Exploring Operation: 39*97=3783, Resulting Numbers: [3783]
3783,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 61:[35, 23], Operations: ['31+4=35', '62-39=23']
Exploring Operation: 35-23=12, Resulting Numbers: [12]
12,61 unequal: No Solution
Exploring Operation: 35+23=58, Resulting Numbers: [58]
58,61 unequal: No Solution
Exploring Operation: 35*23=805, Resulting Numbers: [805]
805,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 61:[39, 31, 58], Operations: ['62-4=58']
Exploring Operation: 39-31=8, Resulting Numbers: [58, 8]
Generated Node #0,0,0: 61:[58, 8] Operation: 39-31=8
Exploring Operation: 58-31=27, Resulting Numbers: [39, 27]
Generated Node #0,0,1: 61:[39, 27] Operation: 58-31=27
Exploring Operation: 39+58=97, Resulting Numbers: [31, 97]
Generated Node #0,0,2: 61:[31, 97] Operation: 39+58=97
Exploring Operation: 39+31=70, Resulting Numbers: [58, 70]
Generated Node #0,0,3: 61:[58, 70] Operation: 39+31=70
Exploring Operation: 31+58=89, Resulting Numbers: [39, 89]
Generated Node #0,0,4: 61:[39, 89] Operation: 31+58=89
Moving to Node #0,1
Current State: 61:[31, 62, 35], Operations: ['39-4=35']
Exploring Operation: 62-31=31, Resulting Numbers: [35, 31]
Generated Node #0,1,0: 61:[35, 31] Operation: 62-31=31
Exploring Operation: 35-31=4, Resulting Numbers: [62, 4]
Generated Node #0,1,1: 61:[62, 4] Operation: 35-31=4
Exploring Operation: 31+62=93, Resulting Numbers: [35, 93]
Generated Node #0,1,2: 61:[35, 93] Operation: 31+62=93
Exploring Operation: 62-35=27, Resulting Numbers: [31, 27]
Generated Node #0,1,3: 61:[31, 27] Operation: 62-35=27
Exploring Operation: 31+35=66, Resulting Numbers: [62, 66]
Generated Node #0,1,4: 61:[62, 66] Operation: 31+35=66
Moving to Node #0,2
Current State: 61:[39, 62, 27], Operations: ['31-4=27']
Exploring Operation: 39-27=12, Resulting Numbers: [62, 12]
Generated Node #0,2,0: 61:[62, 12] Operation: 39-27=12
Exploring Operation: 62-39=23, Resulting Numbers: [27, 23]
Generated Node #0,2,1: 61:[27, 23] Operation: 62-39=23
Exploring Operation: 39+27=66, Resulting Numbers: [62, 66]
Generated Node #0,2,2: 61:[62, 66] Operation: 39+27=66
Exploring Operation: 62+27=89, Resulting Numbers: [39, 89]
Generated Node #0,2,3: 61:[39, 89] Operation: 62+27=89
Exploring Operation: 62-27=35, Resulting Numbers: [39, 35]
Generated Node #0,2,4: 61:[39, 35] Operation: 62-27=35
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 61:[62, 66], Operations: ['31-4=27', '39+27=66']
Exploring Operation: 62*66=4092, Resulting Numbers: [4092]
4092,61 unequal: No Solution
Exploring Operation: 62+66=128, Resulting Numbers: [128]
128,61 unequal: No Solution
Exploring Operation: 66-62=4, Resulting Numbers: [4]
4,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 61:[39, 35], Operations: ['31-4=27', '62-27=35']
Exploring Operation: 39+35=74, Resulting Numbers: [74]
74,61 unequal: No Solution
Exploring Operation: 39*35=1365, Resulting Numbers: [1365]
1365,61 unequal: No Solution
Exploring Operation: 39-35=4, Resulting Numbers: [4]
4,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 61:[62, 12], Operations: ['31-4=27', '39-27=12']
Exploring Operation: 62*12=744, Resulting Numbers: [744]
744,61 unequal: No Solution
Exploring Operation: 62-12=50, Resulting Numbers: [50]
50,61 unequal: No Solution
Exploring Operation: 62+12=74, Resulting Numbers: [74]
74,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 61:[39, 89], Operations: ['31-4=27', '62+27=89']
Exploring Operation: 39*89=3471, Resulting Numbers: [3471]
3471,61 unequal: No Solution
Exploring Operation: 89-39=50, Resulting Numbers: [50]
50,61 unequal: No Solution
Exploring Operation: 39+89=128, Resulting Numbers: [128]
128,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 61:[27, 23], Operations: ['31-4=27', '62-39=23']
Exploring Operation: 27-23=4, Resulting Numbers: [4]
4,61 unequal: No Solution
Exploring Operation: 27*23=621, Resulting Numbers: [621]
621,61 unequal: No Solution
Exploring Operation: 27+23=50, Resulting Numbers: [50]
50,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,4
Current State: 61:[62, 66], Operations: ['39-4=35', '31+35=66']
Exploring Operation: 62+66=128, Resulting Numbers: [128]
128,61 unequal: No Solution
Exploring Operation: 62*66=4092, Resulting Numbers: [4092]
4092,61 unequal: No Solution
Exploring Operation: 66-62=4, Resulting Numbers: [4]
4,61 unequal: No Solution
Moving to Node #0,0,3
Current State: 61:[58, 70], Operations: ['62-4=58', '39+31=70']
Exploring Operation: 70-58=12, Resulting Numbers: [12]
12,61 unequal: No Solution
Exploring Operation: 58*70=4060, Resulting Numbers: [4060]
4060,61 unequal: No Solution
Exploring Operation: 58+70=128, Resulting Numbers: [128]
128,61 unequal: No Solution
Moving to Node #0,3,2
Current State: 61:[62, 74], Operations: ['39+4=43', '31+43=74']
Exploring Operation: 62+74=136, Resulting Numbers: [136]
136,61 unequal: No Solution
Exploring Operation: 62*74=4588, Resulting Numbers: [4588]
4588,61 unequal: No Solution
Exploring Operation: 74-62=12, Resulting Numbers: [12]
12,61 unequal: No Solution
Moving to Node #0,3,4
Current State: 61:[43, 31], Operations: ['39+4=43', '62-31=31']
Exploring Operation: 43-31=12, Resulting Numbers: [12]
12,61 unequal: No Solution
Exploring Operation: 43+31=74, Resulting Numbers: [74]
74,61 unequal: No Solution
Exploring Operation: 43*31=1333, Resulting Numbers: [1333]
1333,61 unequal: No Solution
Moving to Node #0,0,4
Current State: 61:[39, 89], Operations: ['62-4=58', '31+58=89']
Exploring Operation: 39*89=3471, Resulting Numbers: [3471]
3471,61 unequal: No Solution
Exploring Operation: 39+89=128, Resulting Numbers: [128]
128,61 unequal: No Solution
Exploring Operation: 89-39=50, Resulting Numbers: [50]
50,61 unequal: No Solution
Moving to Node #0,3,0
Current State: 61:[62, 12], Operations: ['39+4=43', '43-31=12']
Exploring Operation: 62-12=50, Resulting Numbers: [50]
50,61 unequal: No Solution
Exploring Operation: 62+12=74, Resulting Numbers: [74]
74,61 unequal: No Solution
Exploring Operation: 62*12=744, Resulting Numbers: [744]
744,61 unequal: No Solution
Moving to Node #0,3,1
Current State: 61:[43, 93], Operations: ['39+4=43', '31+62=93']
Exploring Operation: 43*93=3999, Resulting Numbers: [3999]
3999,61 unequal: No Solution
Exploring Operation: 43+93=136, Resulting Numbers: [136]
136,61 unequal: No Solution
Exploring Operation: 93-43=50, Resulting Numbers: [50]
50,61 unequal: No Solution
Moving to Node #0,1,0
Current State: 61:[35, 31], Operations: ['39-4=35', '62-31=31']
Exploring Operation: 35*31=1085, Resulting Numbers: [1085]
1085,61 unequal: No Solution
Exploring Operation: 35+31=66, Resulting Numbers: [66]
66,61 unequal: No Solution
Exploring Operation: 35-31=4, Resulting Numbers: [4]
4,61 unequal: No Solution
Moving to Node #0,0,1
Current State: 61:[39, 27], Operations: ['62-4=58', '58-31=27']
Exploring Operation: 39+27=66, Resulting Numbers: [66]
66,61 unequal: No Solution
Exploring Operation: 39*27=1053, Resulting Numbers: [1053]
1053,61 unequal: No Solution
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,61 unequal: No Solution
Moving to Node #0,0,0
Current State: 61:[58, 8], Operations: ['62-4=58', '39-31=8']
Exploring Operation: 58-8=50, Resulting Numbers: [50]
50,61 unequal: No Solution
Exploring Operation: 58+8=66, Resulting Numbers: [66]
66,61 unequal: No Solution
Exploring Operation: 58*8=464, Resulting Numbers: [464]
464,61 unequal: No Solution
Moving to Node #0,1,2
Current State: 61:[35, 93], Operations: ['39-4=35', '31+62=93']
Exploring Operation: 93-35=58, Resulting Numbers: [58]
58,61 unequal: No Solution
Exploring Operation: 35*93=3255, Resulting Numbers: [3255]
3255,61 unequal: No Solution
Exploring Operation: 35+93=128, Resulting Numbers: [128]
128,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[62, 4], Operations: ['39-4=35', '35-31=4']
Exploring Operation: 62*4=248, Resulting Numbers: [248]
248,61 unequal: No Solution
Exploring Operation: 62+4=66, Resulting Numbers: [66]
66,61 unequal: No Solution
Exploring Operation: 62-4=58, Resulting Numbers: [58]
58,61 unequal: No Solution
Moving to Node #0,1,3
Current State: 61:[31, 27], Operations: ['39-4=35', '62-35=27']
Exploring Operation: 31+27=58, Resulting Numbers: [58]
58,61 unequal: No Solution
Exploring Operation: 31*27=837, Resulting Numbers: [837]
837,61 unequal: No Solution
Exploring Operation: 31-27=4, Resulting Numbers: [4]
4,61 unequal: No Solution
Moving to Node #0,0,2
Current State: 61:[31, 97], Operations: ['62-4=58', '39+58=97']
Exploring Operation: 97-31=66, Resulting Numbers: [66]
66,61 unequal: No Solution
Exploring Operation: 31+97=128, Resulting Numbers: [128]
128,61 unequal: No Solution
Exploring Operation: 31*97=3007, Resulting Numbers: [3007]
3007,61 unequal: No Solution
Moving to Node #0,3,3
Current State: 61:[31, 19], Operations: ['39+4=43', '62-43=19']
Exploring Operation: 31*19=589, Resulting Numbers: [589]
589,61 unequal: No Solution
Exploring Operation: 31+19=50, Resulting Numbers: [50]
50,61 unequal: No Solution
Exploring Operation: 31-19=12, Resulting Numbers: [12]
12,61 unequal: No Solution
No solution found.
| 0
|
hs_5
|
sum_heuristic
|
[
37,
30,
42,
45
] | 65
|
[
"30*42=1260",
"1260/45=28",
"37+28=65"
] |
Current State: 65:[37, 30, 42, 45], Operations: []
Exploring Operation: 30*42=1260, Resulting Numbers: [37, 45, 1260]
Generated Node #2: [37, 45, 1260] from Operation: 30*42=1260
Current State: 65:[37, 45, 1260], Operations: ['30*42=1260']
Exploring Operation: 1260/45=28, Resulting Numbers: [37, 28]
Generated Node #3: [37, 28] from Operation: 1260/45=28
Current State: 65:[37, 28], Operations: ['30*42=1260', '1260/45=28']
Exploring Operation: 37+28=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4
|
Current State: 65:[37, 30, 42, 45], Operations: []
Exploring Operation: 37+30=67, Resulting Numbers: [42, 45, 67]
Generated Node #0,0: 65:[42, 45, 67] Operation: 37+30=67
Exploring Operation: 42-37=5, Resulting Numbers: [30, 45, 5]
Generated Node #0,1: 65:[30, 45, 5] Operation: 42-37=5
Exploring Operation: 45-37=8, Resulting Numbers: [30, 42, 8]
Generated Node #0,2: 65:[30, 42, 8] Operation: 45-37=8
Exploring Operation: 45-42=3, Resulting Numbers: [37, 30, 3]
Generated Node #0,3: 65:[37, 30, 3] Operation: 45-42=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[30, 45, 5], Operations: ['42-37=5']
Exploring Operation: 30/5=6, Resulting Numbers: [45, 6]
Generated Node #0,1,0: 65:[45, 6] Operation: 30/5=6
Exploring Operation: 45-30=15, Resulting Numbers: [5, 15]
Generated Node #0,1,1: 65:[5, 15] Operation: 45-30=15
Exploring Operation: 30+45=75, Resulting Numbers: [5, 75]
Generated Node #0,1,2: 65:[5, 75] Operation: 30+45=75
Exploring Operation: 45/5=9, Resulting Numbers: [30, 9]
Generated Node #0,1,3: 65:[30, 9] Operation: 45/5=9
Moving to Node #0,1,1
Current State: 65:[5, 15], Operations: ['42-37=5', '45-30=15']
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,65 unequal: No Solution
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,65 unequal: No Solution
Exploring Operation: 5+15=20, Resulting Numbers: [20]
20,65 unequal: No Solution
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,65 unequal: No Solution
Moving to Node #0,1,2
Current State: 65:[5, 75], Operations: ['42-37=5', '30+45=75']
Exploring Operation: 5+75=80, Resulting Numbers: [80]
80,65 unequal: No Solution
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 75-5=70, Resulting Numbers: [70]
70,65 unequal: No Solution
Exploring Operation: 5*75=375, Resulting Numbers: [375]
375,65 unequal: No Solution
Moving to Node #0,1,3
Current State: 65:[30, 9], Operations: ['42-37=5', '45/5=9']
Exploring Operation: 30*9=270, Resulting Numbers: [270]
270,65 unequal: No Solution
Exploring Operation: 30-9=21, Resulting Numbers: [21]
21,65 unequal: No Solution
Exploring Operation: 30+9=39, Resulting Numbers: [39]
39,65 unequal: No Solution
Moving to Node #0,1,0
Current State: 65:[45, 6], Operations: ['42-37=5', '30/5=6']
Exploring Operation: 45+6=51, Resulting Numbers: [51]
51,65 unequal: No Solution
Exploring Operation: 45*6=270, Resulting Numbers: [270]
270,65 unequal: No Solution
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 65:[30, 42, 8], Operations: ['45-37=8']
Exploring Operation: 42+8=50, Resulting Numbers: [30, 50]
Generated Node #0,2,0: 65:[30, 50] Operation: 42+8=50
Exploring Operation: 42-30=12, Resulting Numbers: [8, 12]
Generated Node #0,2,1: 65:[8, 12] Operation: 42-30=12
Exploring Operation: 30+42=72, Resulting Numbers: [8, 72]
Generated Node #0,2,2: 65:[8, 72] Operation: 30+42=72
Exploring Operation: 30-8=22, Resulting Numbers: [42, 22]
Generated Node #0,2,3: 65:[42, 22] Operation: 30-8=22
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 65:[8, 12], Operations: ['45-37=8', '42-30=12']
Exploring Operation: 8+12=20, Resulting Numbers: [20]
20,65 unequal: No Solution
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,65 unequal: No Solution
Exploring Operation: 8*12=96, Resulting Numbers: [96]
96,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 65:[8, 72], Operations: ['45-37=8', '30+42=72']
Exploring Operation: 72-8=64, Resulting Numbers: [64]
64,65 unequal: No Solution
Exploring Operation: 72/8=9, Resulting Numbers: [9]
9,65 unequal: No Solution
Exploring Operation: 8+72=80, Resulting Numbers: [80]
80,65 unequal: No Solution
Exploring Operation: 8*72=576, Resulting Numbers: [576]
576,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 65:[30, 50], Operations: ['45-37=8', '42+8=50']
Exploring Operation: 30*50=1500, Resulting Numbers: [1500]
1500,65 unequal: No Solution
Exploring Operation: 50-30=20, Resulting Numbers: [20]
20,65 unequal: No Solution
Exploring Operation: 30+50=80, Resulting Numbers: [80]
80,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 65:[42, 22], Operations: ['45-37=8', '30-8=22']
Exploring Operation: 42-22=20, Resulting Numbers: [20]
20,65 unequal: No Solution
Exploring Operation: 42+22=64, Resulting Numbers: [64]
64,65 unequal: No Solution
Exploring Operation: 42*22=924, Resulting Numbers: [924]
924,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 65:[37, 30, 3], Operations: ['45-42=3']
Exploring Operation: 37+30=67, Resulting Numbers: [3, 67]
Generated Node #0,3,0: 65:[3, 67] Operation: 37+30=67
Exploring Operation: 37-3=34, Resulting Numbers: [30, 34]
Generated Node #0,3,1: 65:[30, 34] Operation: 37-3=34
Exploring Operation: 30/3=10, Resulting Numbers: [37, 10]
Generated Node #0,3,2: 65:[37, 10] Operation: 30/3=10
Exploring Operation: 37-30=7, Resulting Numbers: [3, 7]
Generated Node #0,3,3: 65:[3, 7] Operation: 37-30=7
Moving to Node #0,3,0
Current State: 65:[3, 67], Operations: ['45-42=3', '37+30=67']
Exploring Operation: 3+67=70, Resulting Numbers: [70]
70,65 unequal: No Solution
Exploring Operation: 3*67=201, Resulting Numbers: [201]
201,65 unequal: No Solution
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,65 unequal: No Solution
Moving to Node #0,3,3
Current State: 65:[3, 7], Operations: ['45-42=3', '37-30=7']
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,65 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,65 unequal: No Solution
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,65 unequal: No Solution
Moving to Node #0,3,2
Current State: 65:[37, 10], Operations: ['45-42=3', '30/3=10']
Exploring Operation: 37*10=370, Resulting Numbers: [370]
370,65 unequal: No Solution
Exploring Operation: 37-10=27, Resulting Numbers: [27]
27,65 unequal: No Solution
Exploring Operation: 37+10=47, Resulting Numbers: [47]
47,65 unequal: No Solution
Moving to Node #0,3,1
Current State: 65:[30, 34], Operations: ['45-42=3', '37-3=34']
Exploring Operation: 30+34=64, Resulting Numbers: [64]
64,65 unequal: No Solution
Exploring Operation: 34-30=4, Resulting Numbers: [4]
4,65 unequal: No Solution
Exploring Operation: 30*34=1020, Resulting Numbers: [1020]
1020,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[42, 45, 67], Operations: ['37+30=67']
Exploring Operation: 67-45=22, Resulting Numbers: [42, 22]
Generated Node #0,0,0: 65:[42, 22] Operation: 67-45=22
Exploring Operation: 45-42=3, Resulting Numbers: [67, 3]
Generated Node #0,0,1: 65:[67, 3] Operation: 45-42=3
Exploring Operation: 42+45=87, Resulting Numbers: [67, 87]
Generated Node #0,0,2: 65:[67, 87] Operation: 42+45=87
Exploring Operation: 67-42=25, Resulting Numbers: [45, 25]
Generated Node #0,0,3: 65:[45, 25] Operation: 67-42=25
Moving to Node #0,0,1
Current State: 65:[67, 3], Operations: ['37+30=67', '45-42=3']
Exploring Operation: 67*3=201, Resulting Numbers: [201]
201,65 unequal: No Solution
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,65 unequal: No Solution
Exploring Operation: 67+3=70, Resulting Numbers: [70]
70,65 unequal: No Solution
Moving to Node #0,0,2
Current State: 65:[67, 87], Operations: ['37+30=67', '42+45=87']
Exploring Operation: 67+87=154, Resulting Numbers: [154]
154,65 unequal: No Solution
Exploring Operation: 87-67=20, Resulting Numbers: [20]
20,65 unequal: No Solution
Exploring Operation: 67*87=5829, Resulting Numbers: [5829]
5829,65 unequal: No Solution
Moving to Node #0,0,3
Current State: 65:[45, 25], Operations: ['37+30=67', '67-42=25']
Exploring Operation: 45-25=20, Resulting Numbers: [20]
20,65 unequal: No Solution
Exploring Operation: 45+25=70, Resulting Numbers: [70]
70,65 unequal: No Solution
Exploring Operation: 45*25=1125, Resulting Numbers: [1125]
1125,65 unequal: No Solution
Moving to Node #0,0,0
Current State: 65:[42, 22], Operations: ['37+30=67', '67-45=22']
Exploring Operation: 42-22=20, Resulting Numbers: [20]
20,65 unequal: No Solution
Exploring Operation: 42*22=924, Resulting Numbers: [924]
924,65 unequal: No Solution
Exploring Operation: 42+22=64, Resulting Numbers: [64]
64,65 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
|
[
91,
27,
4,
30
] | 22
|
[
"91+27=118",
"118-30=88",
"88/4=22"
] |
Current State: 22:[91, 27, 4, 30], Operations: []
Exploring Operation: 91+27=118, Resulting Numbers: [4, 30, 118]
Generated Node #2: [4, 30, 118] from Operation: 91+27=118
Current State: 22:[4, 30, 118], Operations: ['91+27=118']
Exploring Operation: 118-30=88, Resulting Numbers: [4, 88]
Generated Node #3: [4, 88] from Operation: 118-30=88
Current State: 22:[4, 88], Operations: ['91+27=118', '118-30=88']
Exploring Operation: 88/4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4
|
Current State: 22:[91, 27, 4, 30], Operations: []
Exploring Operation: 30-27=3, Resulting Numbers: [91, 4, 3]
Generated Node #0,0: 22:[91, 4, 3] Operation: 30-27=3
Exploring Operation: 91-27=64, Resulting Numbers: [4, 30, 64]
Generated Node #0,1: 22:[4, 30, 64] Operation: 91-27=64
Exploring Operation: 91-30=61, Resulting Numbers: [27, 4, 61]
Generated Node #0,2: 22:[27, 4, 61] Operation: 91-30=61
Start Sub Search at level 1: Moving to Node #0,2
Current State: 22:[27, 4, 61], Operations: ['91-30=61']
Exploring Operation: 61-27=34, Resulting Numbers: [4, 34]
Generated Node #0,2,0: 22:[4, 34] Operation: 61-27=34
Exploring Operation: 27-4=23, Resulting Numbers: [61, 23]
Generated Node #0,2,1: 22:[61, 23] Operation: 27-4=23
Exploring Operation: 61-4=57, Resulting Numbers: [27, 57]
Generated Node #0,2,2: 22:[27, 57] Operation: 61-4=57
Moving to Node #0,2,0
Current State: 22:[4, 34], Operations: ['91-30=61', '61-27=34']
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,22 unequal: No Solution
Exploring Operation: 4+34=38, Resulting Numbers: [38]
38,22 unequal: No Solution
Exploring Operation: 4*34=136, Resulting Numbers: [136]
136,22 unequal: No Solution
Moving to Node #0,2,1
Current State: 22:[61, 23], Operations: ['91-30=61', '27-4=23']
Exploring Operation: 61+23=84, Resulting Numbers: [84]
84,22 unequal: No Solution
Exploring Operation: 61-23=38, Resulting Numbers: [38]
38,22 unequal: No Solution
Exploring Operation: 61*23=1403, Resulting Numbers: [1403]
1403,22 unequal: No Solution
Moving to Node #0,2,2
Current State: 22:[27, 57], Operations: ['91-30=61', '61-4=57']
Exploring Operation: 57-27=30, Resulting Numbers: [30]
30,22 unequal: No Solution
Exploring Operation: 27*57=1539, Resulting Numbers: [1539]
1539,22 unequal: No Solution
Exploring Operation: 27+57=84, Resulting Numbers: [84]
84,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 22:[4, 30, 64], Operations: ['91-27=64']
Exploring Operation: 64-30=34, Resulting Numbers: [4, 34]
Generated Node #0,1,0: 22:[4, 34] Operation: 64-30=34
Exploring Operation: 64/4=16, Resulting Numbers: [30, 16]
Generated Node #0,1,1: 22:[30, 16] Operation: 64/4=16
Exploring Operation: 30-4=26, Resulting Numbers: [64, 26]
Generated Node #0,1,2: 22:[64, 26] Operation: 30-4=26
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 22:[30, 16], Operations: ['91-27=64', '64/4=16']
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,22 unequal: No Solution
Exploring Operation: 30*16=480, Resulting Numbers: [480]
480,22 unequal: No Solution
Exploring Operation: 30+16=46, Resulting Numbers: [46]
46,22 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 #0,1,0
Current State: 22:[4, 34], Operations: ['91-27=64', '64-30=34']
Exploring Operation: 4*34=136, Resulting Numbers: [136]
136,22 unequal: No Solution
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,22 unequal: No Solution
Exploring Operation: 4+34=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 #0,1,2
Current State: 22:[64, 26], Operations: ['91-27=64', '30-4=26']
Exploring Operation: 64-26=38, Resulting Numbers: [38]
38,22 unequal: No Solution
Exploring Operation: 64*26=1664, Resulting Numbers: [1664]
1664,22 unequal: No Solution
Exploring Operation: 64+26=90, Resulting Numbers: [90]
90,22 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:[91, 4, 3], Operations: ['30-27=3']
Exploring Operation: 91-4=87, Resulting Numbers: [3, 87]
Generated Node #0,0,0: 22:[3, 87] Operation: 91-4=87
Exploring Operation: 91-3=88, Resulting Numbers: [4, 88]
Generated Node #0,0,1: 22:[4, 88] Operation: 91-3=88
Exploring Operation: 4*3=12, Resulting Numbers: [91, 12]
Generated Node #0,0,2: 22:[91, 12] Operation: 4*3=12
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 22:[3, 87], Operations: ['30-27=3', '91-4=87']
Exploring Operation: 87-3=84, Resulting Numbers: [84]
84,22 unequal: No Solution
Exploring Operation: 3+87=90, Resulting Numbers: [90]
90,22 unequal: No Solution
Exploring Operation: 87/3=29, Resulting Numbers: [29]
29,22 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:[4, 88], Operations: ['30-27=3', '91-3=88']
Exploring Operation: 4+88=92, Resulting Numbers: [92]
92,22 unequal: No Solution
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:[91, 27, 4, 30], Operations: []
Exploring Operation: 30-27=3, Resulting Numbers: [91, 4, 3]
Generated Node #0,0: 22:[91, 4, 3] Operation: 30-27=3
Moving to Node #0,0
Current State: 22:[91, 4, 3], Operations: ['30-27=3']
Exploring Operation: 91-3=88, Resulting Numbers: [4, 88]
Generated Node #0,0,1: 22:[4, 88] Operation: 91-3=88
Moving to Node #0,0,1
Current State: 22:[4, 88], Operations: ['30-27=3', '91-3=88']
Exploring Operation: 88/4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.965278
|
hs_3
|
mult_heuristic
|
[
31,
95,
5,
96
] | 84
|
[
"96-31=65",
"95/5=19",
"65+19=84"
] |
Current State: 84:[31, 95, 5, 96], Operations: []
Exploring Operation: 96-31=65, Resulting Numbers: [95, 5, 65]
Generated Node #2: [95, 5, 65] from Operation: 96-31=65
Current State: 84:[95, 5, 65], Operations: ['96-31=65']
Exploring Operation: 95/5=19, Resulting Numbers: [65, 19]
Generated Node #3: [65, 19] from Operation: 95/5=19
Current State: 84:[65, 19], Operations: ['96-31=65', '95/5=19']
Exploring Operation: 65+19=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4
|
Current State: 84:[31, 95, 5, 96], Operations: []
Exploring Operation: 95/5=19, Resulting Numbers: [31, 96, 19]
Generated Node #0,0: 84:[31, 96, 19] Operation: 95/5=19
Exploring Operation: 96-95=1, Resulting Numbers: [31, 5, 1]
Generated Node #0,1: 84:[31, 5, 1] Operation: 96-95=1
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[31, 5, 1], Operations: ['96-95=1']
Exploring Operation: 31-1=30, Resulting Numbers: [5, 30]
Generated Node #0,1,0: 84:[5, 30] Operation: 31-1=30
Exploring Operation: 31-5=26, Resulting Numbers: [1, 26]
Generated Node #0,1,1: 84:[1, 26] Operation: 31-5=26
Moving to Node #0,1,0
Current State: 84:[5, 30], Operations: ['96-95=1', '31-1=30']
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,84 unequal: No Solution
Moving to Node #0,1,1
Current State: 84:[1, 26], Operations: ['96-95=1', '31-5=26']
Exploring Operation: 1+26=27, Resulting Numbers: [27]
27,84 unequal: No Solution
Exploring Operation: 1*26=26, Resulting Numbers: [26]
26,84 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 #0,0
Current State: 84:[31, 96, 19], Operations: ['95/5=19']
Exploring Operation: 31-19=12, Resulting Numbers: [96, 12]
Generated Node #0,0,0: 84:[96, 12] Operation: 31-19=12
Exploring Operation: 96-19=77, Resulting Numbers: [31, 77]
Generated Node #0,0,1: 84:[31, 77] Operation: 96-19=77
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 84:[31, 77], Operations: ['95/5=19', '96-19=77']
Exploring Operation: 31+77=108, Resulting Numbers: [108]
108,84 unequal: No Solution
Exploring Operation: 77-31=46, Resulting Numbers: [46]
46,84 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 #0,0,0
Current State: 84:[96, 12], Operations: ['95/5=19', '31-19=12']
Exploring Operation: 96/12=8, Resulting Numbers: [8]
8,84 unequal: No Solution
Exploring Operation: 96-12=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[31, 95, 5, 96], Operations: []
Exploring Operation: 95/5=19, Resulting Numbers: [31, 96, 19]
Generated Node #0,0: 84:[31, 96, 19] Operation: 95/5=19
Moving to Node #0,0
Current State: 84:[31, 96, 19], Operations: ['95/5=19']
Exploring Operation: 31-19=12, Resulting Numbers: [96, 12]
Generated Node #0,0,0: 84:[96, 12] Operation: 31-19=12
Moving to Node #0,0,0
Current State: 84:[96, 12], Operations: ['95/5=19', '31-19=12']
Exploring Operation: 96-12=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375
|
hs_2
|
mult_heuristic
|
[
10,
63,
68,
56
] | 65
|
[
"63-10=53",
"68-56=12",
"53+12=65"
] |
Current State: 65:[10, 63, 68, 56], Operations: []
Exploring Operation: 63-10=53, Resulting Numbers: [68, 56, 53]
Generated Node #2: [68, 56, 53] from Operation: 63-10=53
Current State: 65:[68, 56, 53], Operations: ['63-10=53']
Exploring Operation: 68-56=12, Resulting Numbers: [53, 12]
Generated Node #3: [53, 12] from Operation: 68-56=12
Current State: 65:[53, 12], Operations: ['63-10=53', '68-56=12']
Exploring Operation: 53+12=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4
|
Current State: 65:[10, 63, 68, 56], Operations: []
Exploring Operation: 63-56=7, Resulting Numbers: [10, 68, 7]
Generated Node #0,0: 65:[10, 68, 7] Operation: 63-56=7
Exploring Operation: 10+56=66, Resulting Numbers: [63, 68, 66]
Generated Node #0,1: 65:[63, 68, 66] Operation: 10+56=66
Exploring Operation: 68-56=12, Resulting Numbers: [10, 63, 12]
Generated Node #0,2: 65:[10, 63, 12] Operation: 68-56=12
Moving to Node #0,1
Current State: 65:[63, 68, 66], Operations: ['10+56=66']
Exploring Operation: 68-63=5, Resulting Numbers: [66, 5]
Generated Node #0,1,0: 65:[66, 5] Operation: 68-63=5
Exploring Operation: 68-66=2, Resulting Numbers: [63, 2]
Generated Node #0,1,1: 65:[63, 2] Operation: 68-66=2
Exploring Operation: 66-63=3, Resulting Numbers: [68, 3]
Generated Node #0,1,2: 65:[68, 3] Operation: 66-63=3
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 65:[66, 5], Operations: ['10+56=66', '68-63=5']
Exploring Operation: 66*5=330, Resulting Numbers: [330]
330,65 unequal: No Solution
Exploring Operation: 66-5=61, Resulting Numbers: [61]
61,65 unequal: No Solution
Exploring Operation: 66+5=71, Resulting Numbers: [71]
71,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 65:[63, 2], Operations: ['10+56=66', '68-66=2']
Exploring Operation: 63+2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[10, 63, 68, 56], Operations: []
Exploring Operation: 10+56=66, Resulting Numbers: [63, 68, 66]
Generated Node #0,1: 65:[63, 68, 66] Operation: 10+56=66
Moving to Node #0,1
Current State: 65:[63, 68, 66], Operations: ['10+56=66']
Exploring Operation: 68-66=2, Resulting Numbers: [63, 2]
Generated Node #0,1,1: 65:[63, 2] Operation: 68-66=2
Moving to Node #0,1,1
Current State: 65:[63, 2], Operations: ['10+56=66', '68-66=2']
Exploring Operation: 63+2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847
|
hs_3
|
mult_heuristic
|
[
45,
53,
11,
13
] | 32
|
[
"53-45=8",
"11+13=24",
"8+24=32"
] |
Current State: 32:[45, 53, 11, 13], Operations: []
Exploring Operation: 53-45=8, Resulting Numbers: [11, 13, 8]
Generated Node #2: [11, 13, 8] from Operation: 53-45=8
Current State: 32:[11, 13, 8], Operations: ['53-45=8']
Exploring Operation: 11+13=24, Resulting Numbers: [8, 24]
Generated Node #3: [8, 24] from Operation: 11+13=24
Current State: 32:[8, 24], Operations: ['53-45=8', '11+13=24']
Exploring Operation: 8+24=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4
|
Current State: 32:[45, 53, 11, 13], Operations: []
Exploring Operation: 53-13=40, Resulting Numbers: [45, 11, 40]
Generated Node #0,0: 32:[45, 11, 40] Operation: 53-13=40
Exploring Operation: 45-13=32, Resulting Numbers: [53, 11, 32]
Generated Node #0,1: 32:[53, 11, 32] Operation: 45-13=32
Exploring Operation: 53-45=8, Resulting Numbers: [11, 13, 8]
Generated Node #0,2: 32:[11, 13, 8] Operation: 53-45=8
Moving to Node #0,2
Current State: 32:[11, 13, 8], Operations: ['53-45=8']
Exploring Operation: 13-11=2, Resulting Numbers: [8, 2]
Generated Node #0,2,0: 32:[8, 2] Operation: 13-11=2
Exploring Operation: 11-8=3, Resulting Numbers: [13, 3]
Generated Node #0,2,1: 32:[13, 3] Operation: 11-8=3
Exploring Operation: 13-8=5, Resulting Numbers: [11, 5]
Generated Node #0,2,2: 32:[11, 5] Operation: 13-8=5
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 32:[8, 2], Operations: ['53-45=8', '13-11=2']
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,32 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,32 unequal: No Solution
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 32:[13, 3], Operations: ['53-45=8', '11-8=3']
Exploring Operation: 13+3=16, Resulting Numbers: [16]
16,32 unequal: No Solution
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,32 unequal: No Solution
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 32:[11, 5], Operations: ['53-45=8', '13-8=5']
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,32 unequal: No Solution
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,32 unequal: No Solution
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,32 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: 32:[45, 11, 40], Operations: ['53-13=40']
Exploring Operation: 45-11=34, Resulting Numbers: [40, 34]
Generated Node #0,0,0: 32:[40, 34] Operation: 45-11=34
Exploring Operation: 40-11=29, Resulting Numbers: [45, 29]
Generated Node #0,0,1: 32:[45, 29] Operation: 40-11=29
Exploring Operation: 45-40=5, Resulting Numbers: [11, 5]
Generated Node #0,0,2: 32:[11, 5] Operation: 45-40=5
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 32:[11, 5], Operations: ['53-13=40', '45-40=5']
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,32 unequal: No Solution
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,32 unequal: No Solution
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 32:[40, 34], Operations: ['53-13=40', '45-11=34']
Exploring Operation: 40+34=74, Resulting Numbers: [74]
74,32 unequal: No Solution
Exploring Operation: 40-34=6, Resulting Numbers: [6]
6,32 unequal: No Solution
Exploring Operation: 40*34=1360, Resulting Numbers: [1360]
1360,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 32:[45, 29], Operations: ['53-13=40', '40-11=29']
Exploring Operation: 45*29=1305, Resulting Numbers: [1305]
1305,32 unequal: No Solution
Exploring Operation: 45-29=16, Resulting Numbers: [16]
16,32 unequal: No Solution
Exploring Operation: 45+29=74, Resulting Numbers: [74]
74,32 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: 32:[53, 11, 32], Operations: ['45-13=32']
Exploring Operation: 53-32=21, Resulting Numbers: [11, 21]
Generated Node #0,1,0: 32:[11, 21] Operation: 53-32=21
Exploring Operation: 53-11=42, Resulting Numbers: [32, 42]
Generated Node #0,1,1: 32:[32, 42] Operation: 53-11=42
Exploring Operation: 32-11=21, Resulting Numbers: [53, 21]
Generated Node #0,1,2: 32:[53, 21] Operation: 32-11=21
Moving to Node #0,1,0
Current State: 32:[11, 21], Operations: ['45-13=32', '53-32=21']
Exploring Operation: 11*21=231, Resulting Numbers: [231]
231,32 unequal: No Solution
Exploring Operation: 11+21=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[45, 53, 11, 13], Operations: []
Exploring Operation: 45-13=32, Resulting Numbers: [53, 11, 32]
Generated Node #0,1: 32:[53, 11, 32] Operation: 45-13=32
Moving to Node #0,1
Current State: 32:[53, 11, 32], Operations: ['45-13=32']
Exploring Operation: 53-32=21, Resulting Numbers: [11, 21]
Generated Node #0,1,0: 32:[11, 21] Operation: 53-32=21
Moving to Node #0,1,0
Current State: 32:[11, 21], Operations: ['45-13=32', '53-32=21']
Exploring Operation: 11+21=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 0.96875
|
hs_3
|
sum_heuristic
|
[
15,
46,
3,
10
] | 38
|
[
"46-15=31",
"10-3=7",
"31+7=38"
] |
Current State: 38:[15, 46, 3, 10], Operations: []
Exploring Operation: 46-15=31, Resulting Numbers: [3, 10, 31]
Generated Node #2: [3, 10, 31] from Operation: 46-15=31
Current State: 38:[3, 10, 31], Operations: ['46-15=31']
Exploring Operation: 10-3=7, Resulting Numbers: [31, 7]
Generated Node #3: [31, 7] from Operation: 10-3=7
Current State: 38:[31, 7], Operations: ['46-15=31', '10-3=7']
Exploring Operation: 31+7=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4
|
Current State: 38:[15, 46, 3, 10], Operations: []
Exploring Operation: 46-10=36, Resulting Numbers: [15, 3, 36]
Generated Node #0,0: 38:[15, 3, 36] Operation: 46-10=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[15, 3, 36], Operations: ['46-10=36']
Exploring Operation: 15+3=18, Resulting Numbers: [36, 18]
Generated Node #0,0,0: 38:[36, 18] Operation: 15+3=18
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 38:[36, 18], Operations: ['46-10=36', '15+3=18']
Exploring Operation: 36/18=2, Resulting Numbers: [2]
2,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
54,
49,
56,
37
] | 61
|
[
"56-54=2",
"49*2=98",
"98-37=61"
] |
Current State: 61:[54, 49, 56, 37], Operations: []
Exploring Operation: 56-54=2, Resulting Numbers: [49, 37, 2]
Generated Node #2: [49, 37, 2] from Operation: 56-54=2
Current State: 61:[49, 37, 2], Operations: ['56-54=2']
Exploring Operation: 49*2=98, Resulting Numbers: [37, 98]
Generated Node #3: [37, 98] from Operation: 49*2=98
Current State: 61:[37, 98], Operations: ['56-54=2', '49*2=98']
Exploring Operation: 98-37=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4
|
Current State: 61:[54, 49, 56, 37], Operations: []
Exploring Operation: 54+37=91, Resulting Numbers: [49, 56, 91]
Generated Node #0,0: 61:[49, 56, 91] Operation: 54+37=91
Exploring Operation: 54-37=17, Resulting Numbers: [49, 56, 17]
Generated Node #0,1: 61:[49, 56, 17] Operation: 54-37=17
Exploring Operation: 49+37=86, Resulting Numbers: [54, 56, 86]
Generated Node #0,2: 61:[54, 56, 86] Operation: 49+37=86
Exploring Operation: 56+37=93, Resulting Numbers: [54, 49, 93]
Generated Node #0,3: 61:[54, 49, 93] Operation: 56+37=93
Moving to Node #0,2
Current State: 61:[54, 56, 86], Operations: ['49+37=86']
Exploring Operation: 86-54=32, Resulting Numbers: [56, 32]
Generated Node #0,2,0: 61:[56, 32] Operation: 86-54=32
Exploring Operation: 54+56=110, Resulting Numbers: [86, 110]
Generated Node #0,2,1: 61:[86, 110] Operation: 54+56=110
Exploring Operation: 86-56=30, Resulting Numbers: [54, 30]
Generated Node #0,2,2: 61:[54, 30] Operation: 86-56=30
Exploring Operation: 56-54=2, Resulting Numbers: [86, 2]
Generated Node #0,2,3: 61:[86, 2] Operation: 56-54=2
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 61:[56, 32], Operations: ['49+37=86', '86-54=32']
Exploring Operation: 56*32=1792, Resulting Numbers: [1792]
1792,61 unequal: No Solution
Exploring Operation: 56+32=88, Resulting Numbers: [88]
88,61 unequal: No Solution
Exploring Operation: 56-32=24, Resulting Numbers: [24]
24,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 61:[54, 30], Operations: ['49+37=86', '86-56=30']
Exploring Operation: 54+30=84, Resulting Numbers: [84]
84,61 unequal: No Solution
Exploring Operation: 54-30=24, Resulting Numbers: [24]
24,61 unequal: No Solution
Exploring Operation: 54*30=1620, Resulting Numbers: [1620]
1620,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 61:[86, 110], Operations: ['49+37=86', '54+56=110']
Exploring Operation: 86+110=196, Resulting Numbers: [196]
196,61 unequal: No Solution
Exploring Operation: 86*110=9460, Resulting Numbers: [9460]
9460,61 unequal: No Solution
Exploring Operation: 110-86=24, Resulting Numbers: [24]
24,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 61:[86, 2], Operations: ['49+37=86', '56-54=2']
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,61 unequal: No Solution
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,61 unequal: No Solution
Exploring Operation: 86*2=172, Resulting Numbers: [172]
172,61 unequal: No Solution
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 61:[49, 56, 91], Operations: ['54+37=91']
Exploring Operation: 56-49=7, Resulting Numbers: [91, 7]
Generated Node #0,0,0: 61:[91, 7] Operation: 56-49=7
Exploring Operation: 91-49=42, Resulting Numbers: [56, 42]
Generated Node #0,0,1: 61:[56, 42] Operation: 91-49=42
Exploring Operation: 49+56=105, Resulting Numbers: [91, 105]
Generated Node #0,0,2: 61:[91, 105] Operation: 49+56=105
Exploring Operation: 91-56=35, Resulting Numbers: [49, 35]
Generated Node #0,0,3: 61:[49, 35] Operation: 91-56=35
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 61:[56, 42], Operations: ['54+37=91', '91-49=42']
Exploring Operation: 56+42=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Exploring Operation: 56*42=2352, Resulting Numbers: [2352]
2352,61 unequal: No Solution
Exploring Operation: 56-42=14, Resulting Numbers: [14]
14,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 61:[49, 35], Operations: ['54+37=91', '91-56=35']
Exploring Operation: 49-35=14, Resulting Numbers: [14]
14,61 unequal: No Solution
Exploring Operation: 49+35=84, Resulting Numbers: [84]
84,61 unequal: No Solution
Exploring Operation: 49*35=1715, Resulting Numbers: [1715]
1715,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 61:[91, 105], Operations: ['54+37=91', '49+56=105']
Exploring Operation: 91+105=196, Resulting Numbers: [196]
196,61 unequal: No Solution
Exploring Operation: 91*105=9555, Resulting Numbers: [9555]
9555,61 unequal: No Solution
Exploring Operation: 105-91=14, Resulting Numbers: [14]
14,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 61:[91, 7], Operations: ['54+37=91', '56-49=7']
Exploring Operation: 91/7=13, Resulting Numbers: [13]
13,61 unequal: No Solution
Exploring Operation: 91*7=637, Resulting Numbers: [637]
637,61 unequal: No Solution
Exploring Operation: 91+7=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Exploring Operation: 91-7=84, Resulting Numbers: [84]
84,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 61:[54, 49, 93], Operations: ['56+37=93']
Exploring Operation: 93-49=44, Resulting Numbers: [54, 44]
Generated Node #0,3,0: 61:[54, 44] Operation: 93-49=44
Exploring Operation: 93-54=39, Resulting Numbers: [49, 39]
Generated Node #0,3,1: 61:[49, 39] Operation: 93-54=39
Exploring Operation: 54+49=103, Resulting Numbers: [93, 103]
Generated Node #0,3,2: 61:[93, 103] Operation: 54+49=103
Exploring Operation: 54-49=5, Resulting Numbers: [93, 5]
Generated Node #0,3,3: 61:[93, 5] Operation: 54-49=5
Moving to Node #0,1
Current State: 61:[49, 56, 17], Operations: ['54-37=17']
Exploring Operation: 56+17=73, Resulting Numbers: [49, 73]
Generated Node #0,1,0: 61:[49, 73] Operation: 56+17=73
Exploring Operation: 49+17=66, Resulting Numbers: [56, 66]
Generated Node #0,1,1: 61:[56, 66] Operation: 49+17=66
Exploring Operation: 49-17=32, Resulting Numbers: [56, 32]
Generated Node #0,1,2: 61:[56, 32] Operation: 49-17=32
Exploring Operation: 56-17=39, Resulting Numbers: [49, 39]
Generated Node #0,1,3: 61:[49, 39] Operation: 56-17=39
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 61:[56, 66], Operations: ['54-37=17', '49+17=66']
Exploring Operation: 56*66=3696, Resulting Numbers: [3696]
3696,61 unequal: No Solution
Exploring Operation: 56+66=122, Resulting Numbers: [122]
122,61 unequal: No Solution
Exploring Operation: 66-56=10, Resulting Numbers: [10]
10,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 61:[49, 73], Operations: ['54-37=17', '56+17=73']
Exploring Operation: 49+73=122, Resulting Numbers: [122]
122,61 unequal: No Solution
Exploring Operation: 73-49=24, Resulting Numbers: [24]
24,61 unequal: No Solution
Exploring Operation: 49*73=3577, Resulting Numbers: [3577]
3577,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 61:[56, 32], Operations: ['54-37=17', '49-17=32']
Exploring Operation: 56+32=88, Resulting Numbers: [88]
88,61 unequal: No Solution
Exploring Operation: 56*32=1792, Resulting Numbers: [1792]
1792,61 unequal: No Solution
Exploring Operation: 56-32=24, Resulting Numbers: [24]
24,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 61:[49, 39], Operations: ['54-37=17', '56-17=39']
Exploring Operation: 49+39=88, Resulting Numbers: [88]
88,61 unequal: No Solution
Exploring Operation: 49-39=10, Resulting Numbers: [10]
10,61 unequal: No Solution
Exploring Operation: 49*39=1911, Resulting Numbers: [1911]
1911,61 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: 61:[54, 44], Operations: ['56+37=93', '93-49=44']
Exploring Operation: 54-44=10, Resulting Numbers: [10]
10,61 unequal: No Solution
Exploring Operation: 54+44=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Exploring Operation: 54*44=2376, Resulting Numbers: [2376]
2376,61 unequal: No Solution
Moving to Node #0,3,1
Current State: 61:[49, 39], Operations: ['56+37=93', '93-54=39']
Exploring Operation: 49*39=1911, Resulting Numbers: [1911]
1911,61 unequal: No Solution
Exploring Operation: 49-39=10, Resulting Numbers: [10]
10,61 unequal: No Solution
Exploring Operation: 49+39=88, Resulting Numbers: [88]
88,61 unequal: No Solution
Moving to Node #0,3,2
Current State: 61:[93, 103], Operations: ['56+37=93', '54+49=103']
Exploring Operation: 103-93=10, Resulting Numbers: [10]
10,61 unequal: No Solution
Exploring Operation: 93+103=196, Resulting Numbers: [196]
196,61 unequal: No Solution
Exploring Operation: 93*103=9579, Resulting Numbers: [9579]
9579,61 unequal: No Solution
Moving to Node #0,3,3
Current State: 61:[93, 5], Operations: ['56+37=93', '54-49=5']
Exploring Operation: 93-5=88, Resulting Numbers: [88]
88,61 unequal: No Solution
Exploring Operation: 93+5=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Exploring Operation: 93*5=465, Resulting Numbers: [465]
465,61 unequal: No Solution
No solution found.
| 0
|
hs_4
|
sum_heuristic
|
[
42,
97,
77,
55
] | 76
|
[
"97-42=55",
"55/55=1",
"77-1=76"
] |
Current State: 76:[42, 97, 77, 55], Operations: []
Exploring Operation: 97-42=55, Resulting Numbers: [77, 55, 55]
Generated Node #2: [77, 55, 55] from Operation: 97-42=55
Current State: 76:[77, 55, 55], Operations: ['97-42=55']
Exploring Operation: 55/55=1, Resulting Numbers: [77, 1]
Generated Node #3: [77, 1] from Operation: 55/55=1
Current State: 76:[77, 1], Operations: ['97-42=55', '55/55=1']
Exploring Operation: 77-1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4
|
Current State: 76:[42, 97, 77, 55], Operations: []
Exploring Operation: 77-55=22, Resulting Numbers: [42, 97, 22]
Generated Node #0,0: 76:[42, 97, 22] Operation: 77-55=22
Exploring Operation: 97-77=20, Resulting Numbers: [42, 55, 20]
Generated Node #0,1: 76:[42, 55, 20] Operation: 97-77=20
Exploring Operation: 97-55=42, Resulting Numbers: [42, 77, 42]
Generated Node #0,2: 76:[42, 77, 42] Operation: 97-55=42
Exploring Operation: 55-42=13, Resulting Numbers: [97, 77, 13]
Generated Node #0,3: 76:[97, 77, 13] Operation: 55-42=13
Start Sub Search at level 1: Moving to Node #0,2
Current State: 76:[42, 77, 42], Operations: ['97-55=42']
Exploring Operation: 42/42=1, Resulting Numbers: [77, 1]
Generated Node #0,2,0: 76:[77, 1] Operation: 42/42=1
Exploring Operation: 42-42=0, Resulting Numbers: [77, 0]
Generated Node #0,2,1: 76:[77, 0] Operation: 42-42=0
Exploring Operation: 77-42=35, Resulting Numbers: [42, 35]
Generated Node #0,2,2: 76:[42, 35] Operation: 77-42=35
Exploring Operation: 77-42=35, Resulting Numbers: [42, 35]
Generated Node #0,2,3: 76:[42, 35] Operation: 77-42=35
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 76:[77, 1], Operations: ['97-55=42', '42/42=1']
Exploring Operation: 77-1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[42, 97, 77, 55], Operations: []
Exploring Operation: 97-55=42, Resulting Numbers: [42, 77, 42]
Generated Node #0,2: 76:[42, 77, 42] Operation: 97-55=42
Moving to Node #0,2
Current State: 76:[42, 77, 42], Operations: ['97-55=42']
Exploring Operation: 42/42=1, Resulting Numbers: [77, 1]
Generated Node #0,2,0: 76:[77, 1] Operation: 42/42=1
Moving to Node #0,2,0
Current State: 76:[77, 1], Operations: ['97-55=42', '42/42=1']
Exploring Operation: 77-1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715
|
hs_4
|
mult_heuristic
|
[
95,
11,
2,
19
] | 57
|
[
"95*11=1045",
"1045/19=55",
"2+55=57"
] |
Current State: 57:[95, 11, 2, 19], Operations: []
Exploring Operation: 95*11=1045, Resulting Numbers: [2, 19, 1045]
Generated Node #2: [2, 19, 1045] from Operation: 95*11=1045
Current State: 57:[2, 19, 1045], Operations: ['95*11=1045']
Exploring Operation: 1045/19=55, Resulting Numbers: [2, 55]
Generated Node #3: [2, 55] from Operation: 1045/19=55
Current State: 57:[2, 55], Operations: ['95*11=1045', '1045/19=55']
Exploring Operation: 2+55=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4
|
Current State: 57:[95, 11, 2, 19], Operations: []
Exploring Operation: 11*2=22, Resulting Numbers: [95, 19, 22]
Generated Node #0,0: 57:[95, 19, 22] Operation: 11*2=22
Exploring Operation: 95/19=5, Resulting Numbers: [11, 2, 5]
Generated Node #0,1: 57:[11, 2, 5] Operation: 95/19=5
Exploring Operation: 95-19=76, Resulting Numbers: [11, 2, 76]
Generated Node #0,2: 57:[11, 2, 76] Operation: 95-19=76
Exploring Operation: 95-11=84, Resulting Numbers: [2, 19, 84]
Generated Node #0,3: 57:[2, 19, 84] Operation: 95-11=84
Start Sub Search at level 1: Moving to Node #0,1
Current State: 57:[11, 2, 5], Operations: ['95/19=5']
Exploring Operation: 11*2=22, Resulting Numbers: [5, 22]
Generated Node #0,1,0: 57:[5, 22] Operation: 11*2=22
Exploring Operation: 11-5=6, Resulting Numbers: [2, 6]
Generated Node #0,1,1: 57:[2, 6] Operation: 11-5=6
Exploring Operation: 11+5=16, Resulting Numbers: [2, 16]
Generated Node #0,1,2: 57:[2, 16] Operation: 11+5=16
Exploring Operation: 11*5=55, Resulting Numbers: [2, 55]
Generated Node #0,1,3: 57:[2, 55] Operation: 11*5=55
Moving to Node #0,1,3
Current State: 57:[2, 55], Operations: ['95/19=5', '11*5=55']
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,57 unequal: No Solution
Exploring Operation: 2*55=110, Resulting Numbers: [110]
110,57 unequal: No Solution
Exploring Operation: 2+55=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[95, 11, 2, 19], Operations: []
Exploring Operation: 95/19=5, Resulting Numbers: [11, 2, 5]
Generated Node #0,1: 57:[11, 2, 5] Operation: 95/19=5
Moving to Node #0,1
Current State: 57:[11, 2, 5], Operations: ['95/19=5']
Exploring Operation: 11*5=55, Resulting Numbers: [2, 55]
Generated Node #0,1,3: 57:[2, 55] Operation: 11*5=55
Moving to Node #0,1,3
Current State: 57:[2, 55], Operations: ['95/19=5', '11*5=55']
Exploring Operation: 2+55=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979
|
hs_4
|
sum_heuristic
|
[
51,
7,
95,
28
] | 65
|
[
"51+7=58",
"95+28=123",
"123-58=65"
] |
Current State: 65:[51, 7, 95, 28], Operations: []
Exploring Operation: 51+7=58, Resulting Numbers: [95, 28, 58]
Generated Node #2: [95, 28, 58] from Operation: 51+7=58
Current State: 65:[95, 28, 58], Operations: ['51+7=58']
Exploring Operation: 95+28=123, Resulting Numbers: [58, 123]
Generated Node #3: [58, 123] from Operation: 95+28=123
Current State: 65:[58, 123], Operations: ['51+7=58', '95+28=123']
Exploring Operation: 123-58=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4
|
Current State: 65:[51, 7, 95, 28], Operations: []
Exploring Operation: 95-28=67, Resulting Numbers: [51, 7, 67]
Generated Node #0,0: 65:[51, 7, 67] Operation: 95-28=67
Exploring Operation: 95-51=44, Resulting Numbers: [7, 28, 44]
Generated Node #0,1: 65:[7, 28, 44] Operation: 95-51=44
Exploring Operation: 51+28=79, Resulting Numbers: [7, 95, 79]
Generated Node #0,2: 65:[7, 95, 79] Operation: 51+28=79
Exploring Operation: 28/7=4, Resulting Numbers: [51, 95, 4]
Generated Node #0,3: 65:[51, 95, 4] Operation: 28/7=4
Exploring Operation: 51-28=23, Resulting Numbers: [7, 95, 23]
Generated Node #0,4: 65:[7, 95, 23] Operation: 51-28=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[51, 7, 67], Operations: ['95-28=67']
Exploring Operation: 51+7=58, Resulting Numbers: [67, 58]
Generated Node #0,0,0: 65:[67, 58] Operation: 51+7=58
Exploring Operation: 67-7=60, Resulting Numbers: [51, 60]
Generated Node #0,0,1: 65:[51, 60] Operation: 67-7=60
Exploring Operation: 51-7=44, Resulting Numbers: [67, 44]
Generated Node #0,0,2: 65:[67, 44] Operation: 51-7=44
Exploring Operation: 7+67=74, Resulting Numbers: [51, 74]
Generated Node #0,0,3: 65:[51, 74] Operation: 7+67=74
Exploring Operation: 67-51=16, Resulting Numbers: [7, 16]
Generated Node #0,0,4: 65:[7, 16] Operation: 67-51=16
Moving to Node #0,0,4
Current State: 65:[7, 16], Operations: ['95-28=67', '67-51=16']
Exploring Operation: 7*16=112, Resulting Numbers: [112]
112,65 unequal: No Solution
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,65 unequal: No Solution
Exploring Operation: 7+16=23, Resulting Numbers: [23]
23,65 unequal: No Solution
Moving to Node #0,0,0
Current State: 65:[67, 58], Operations: ['95-28=67', '51+7=58']
Exploring Operation: 67-58=9, Resulting Numbers: [9]
9,65 unequal: No Solution
Exploring Operation: 67+58=125, Resulting Numbers: [125]
125,65 unequal: No Solution
Exploring Operation: 67*58=3886, Resulting Numbers: [3886]
3886,65 unequal: No Solution
Moving to Node #0,0,1
Current State: 65:[51, 60], Operations: ['95-28=67', '67-7=60']
Exploring Operation: 60-51=9, Resulting Numbers: [9]
9,65 unequal: No Solution
Exploring Operation: 51+60=111, Resulting Numbers: [111]
111,65 unequal: No Solution
Exploring Operation: 51*60=3060, Resulting Numbers: [3060]
3060,65 unequal: No Solution
Moving to Node #0,0,2
Current State: 65:[67, 44], Operations: ['95-28=67', '51-7=44']
Exploring Operation: 67-44=23, Resulting Numbers: [23]
23,65 unequal: No Solution
Exploring Operation: 67*44=2948, Resulting Numbers: [2948]
2948,65 unequal: No Solution
Exploring Operation: 67+44=111, Resulting Numbers: [111]
111,65 unequal: No Solution
Moving to Node #0,0,3
Current State: 65:[51, 74], Operations: ['95-28=67', '7+67=74']
Exploring Operation: 51+74=125, Resulting Numbers: [125]
125,65 unequal: No Solution
Exploring Operation: 74-51=23, Resulting Numbers: [23]
23,65 unequal: No Solution
Exploring Operation: 51*74=3774, Resulting Numbers: [3774]
3774,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[7, 28, 44], Operations: ['95-51=44']
Exploring Operation: 7+44=51, Resulting Numbers: [28, 51]
Generated Node #0,1,0: 65:[28, 51] Operation: 7+44=51
Exploring Operation: 44-28=16, Resulting Numbers: [7, 16]
Generated Node #0,1,1: 65:[7, 16] Operation: 44-28=16
Exploring Operation: 28-7=21, Resulting Numbers: [44, 21]
Generated Node #0,1,2: 65:[44, 21] Operation: 28-7=21
Exploring Operation: 28+44=72, Resulting Numbers: [7, 72]
Generated Node #0,1,3: 65:[7, 72] Operation: 28+44=72
Exploring Operation: 28/7=4, Resulting Numbers: [44, 4]
Generated Node #0,1,4: 65:[44, 4] Operation: 28/7=4
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 65:[7, 16], Operations: ['95-51=44', '44-28=16']
Exploring Operation: 7+16=23, Resulting Numbers: [23]
23,65 unequal: No Solution
Exploring Operation: 7*16=112, Resulting Numbers: [112]
112,65 unequal: No Solution
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 65:[7, 72], Operations: ['95-51=44', '28+44=72']
Exploring Operation: 7+72=79, Resulting Numbers: [79]
79,65 unequal: No Solution
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[51, 7, 95, 28], Operations: []
Exploring Operation: 95-51=44, Resulting Numbers: [7, 28, 44]
Generated Node #0,1: 65:[7, 28, 44] Operation: 95-51=44
Moving to Node #0,1
Current State: 65:[7, 28, 44], Operations: ['95-51=44']
Exploring Operation: 28+44=72, Resulting Numbers: [7, 72]
Generated Node #0,1,3: 65:[7, 72] Operation: 28+44=72
Moving to Node #0,1,3
Current State: 65:[7, 72], Operations: ['95-51=44', '28+44=72']
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.966146
|
hs_5
|
mult_heuristic
|
[
74,
64,
82,
11
] | 67
|
[
"74+64=138",
"82-11=71",
"138-71=67"
] |
Current State: 67:[74, 64, 82, 11], Operations: []
Exploring Operation: 74+64=138, Resulting Numbers: [82, 11, 138]
Generated Node #2: [82, 11, 138] from Operation: 74+64=138
Current State: 67:[82, 11, 138], Operations: ['74+64=138']
Exploring Operation: 82-11=71, Resulting Numbers: [138, 71]
Generated Node #3: [138, 71] from Operation: 82-11=71
Current State: 67:[138, 71], Operations: ['74+64=138', '82-11=71']
Exploring Operation: 138-71=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4
|
Current State: 67:[74, 64, 82, 11], Operations: []
Exploring Operation: 82-11=71, Resulting Numbers: [74, 64, 71]
Generated Node #0,0: 67:[74, 64, 71] Operation: 82-11=71
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[74, 64, 71], Operations: ['82-11=71']
Exploring Operation: 74-64=10, Resulting Numbers: [71, 10]
Generated Node #0,0,0: 67:[71, 10] Operation: 74-64=10
Moving to Node #0,0,0
Current State: 67:[71, 10], Operations: ['82-11=71', '74-64=10']
Exploring Operation: 71-10=61, Resulting Numbers: [61]
61,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
71,
8,
98,
23
] | 12
|
[
"71-8=63",
"98-23=75",
"75-63=12"
] |
Current State: 12:[71, 8, 98, 23], Operations: []
Exploring Operation: 71-8=63, Resulting Numbers: [98, 23, 63]
Generated Node #2: [98, 23, 63] from Operation: 71-8=63
Current State: 12:[98, 23, 63], Operations: ['71-8=63']
Exploring Operation: 98-23=75, Resulting Numbers: [63, 75]
Generated Node #3: [63, 75] from Operation: 98-23=75
Current State: 12:[63, 75], Operations: ['71-8=63', '98-23=75']
Exploring Operation: 75-63=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4
|
Current State: 12:[71, 8, 98, 23], Operations: []
Exploring Operation: 98-71=27, Resulting Numbers: [8, 23, 27]
Generated Node #0,0: 12:[8, 23, 27] Operation: 98-71=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[8, 23, 27], Operations: ['98-71=27']
Exploring Operation: 27-23=4, Resulting Numbers: [8, 4]
Generated Node #0,0,0: 12:[8, 4] Operation: 27-23=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 12:[8, 4], Operations: ['98-71=27', '27-23=4']
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[71, 8, 98, 23], Operations: []
Exploring Operation: 98-71=27, Resulting Numbers: [8, 23, 27]
Generated Node #0,0: 12:[8, 23, 27] Operation: 98-71=27
Moving to Node #0,0
Current State: 12:[8, 23, 27], Operations: ['98-71=27']
Exploring Operation: 27-23=4, Resulting Numbers: [8, 4]
Generated Node #0,0,0: 12:[8, 4] Operation: 27-23=4
Moving to Node #0,0,0
Current State: 12:[8, 4], Operations: ['98-71=27', '27-23=4']
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
sum_heuristic
|
[
90,
64,
25,
8
] | 59
|
[
"90-64=26",
"25+8=33",
"26+33=59"
] |
Current State: 59:[90, 64, 25, 8], Operations: []
Exploring Operation: 90-64=26, Resulting Numbers: [25, 8, 26]
Generated Node #2: [25, 8, 26] from Operation: 90-64=26
Current State: 59:[25, 8, 26], Operations: ['90-64=26']
Exploring Operation: 25+8=33, Resulting Numbers: [26, 33]
Generated Node #3: [26, 33] from Operation: 25+8=33
Current State: 59:[26, 33], Operations: ['90-64=26', '25+8=33']
Exploring Operation: 26+33=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4
|
Current State: 59:[90, 64, 25, 8], Operations: []
Exploring Operation: 90-25=65, Resulting Numbers: [64, 8, 65]
Generated Node #0,0: 59:[64, 8, 65] Operation: 90-25=65
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[64, 8, 65], Operations: ['90-25=65']
Exploring Operation: 65-8=57, Resulting Numbers: [64, 57]
Generated Node #0,0,0: 59:[64, 57] Operation: 65-8=57
Moving to Node #0,0,0
Current State: 59:[64, 57], Operations: ['90-25=65', '65-8=57']
Exploring Operation: 64-57=7, Resulting Numbers: [7]
7,59 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,
6,
54
] | 78
|
[
"87+39=126",
"54-6=48",
"126-48=78"
] |
Current State: 78:[87, 39, 6, 54], Operations: []
Exploring Operation: 87+39=126, Resulting Numbers: [6, 54, 126]
Generated Node #2: [6, 54, 126] from Operation: 87+39=126
Current State: 78:[6, 54, 126], Operations: ['87+39=126']
Exploring Operation: 54-6=48, Resulting Numbers: [126, 48]
Generated Node #3: [126, 48] from Operation: 54-6=48
Current State: 78:[126, 48], Operations: ['87+39=126', '54-6=48']
Exploring Operation: 126-48=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4
|
Current State: 78:[87, 39, 6, 54], Operations: []
Exploring Operation: 54-39=15, Resulting Numbers: [87, 6, 15]
Generated Node #0,0: 78:[87, 6, 15] Operation: 54-39=15
Exploring Operation: 54/6=9, Resulting Numbers: [87, 39, 9]
Generated Node #0,1: 78:[87, 39, 9] Operation: 54/6=9
Exploring Operation: 87-54=33, Resulting Numbers: [39, 6, 33]
Generated Node #0,2: 78:[39, 6, 33] Operation: 87-54=33
Start Sub Search at level 1: Moving to Node #0,2
Current State: 78:[39, 6, 33], Operations: ['87-54=33']
Exploring Operation: 6+33=39, Resulting Numbers: [39, 39]
Generated Node #0,2,0: 78:[39, 39] Operation: 6+33=39
Exploring Operation: 33-6=27, Resulting Numbers: [39, 27]
Generated Node #0,2,1: 78:[39, 27] Operation: 33-6=27
Exploring Operation: 39-33=6, Resulting Numbers: [6, 6]
Generated Node #0,2,2: 78:[6, 6] Operation: 39-33=6
Moving to Node #0,2,0
Current State: 78:[39, 39], Operations: ['87-54=33', '6+33=39']
Exploring Operation: 39+39=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[87, 39, 6, 54], Operations: []
Exploring Operation: 87-54=33, Resulting Numbers: [39, 6, 33]
Generated Node #0,2: 78:[39, 6, 33] Operation: 87-54=33
Moving to Node #0,2
Current State: 78:[39, 6, 33], Operations: ['87-54=33']
Exploring Operation: 6+33=39, Resulting Numbers: [39, 39]
Generated Node #0,2,0: 78:[39, 39] Operation: 6+33=39
Moving to Node #0,2,0
Current State: 78:[39, 39], Operations: ['87-54=33', '6+33=39']
Exploring Operation: 39+39=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451
|
hs_3
|
mult_heuristic
|
[
32,
70,
5,
93
] | 50
|
[
"70-32=38",
"93-5=88",
"88-38=50"
] |
Current State: 50:[32, 70, 5, 93], Operations: []
Exploring Operation: 70-32=38, Resulting Numbers: [5, 93, 38]
Generated Node #2: [5, 93, 38] from Operation: 70-32=38
Current State: 50:[5, 93, 38], Operations: ['70-32=38']
Exploring Operation: 93-5=88, Resulting Numbers: [38, 88]
Generated Node #3: [38, 88] from Operation: 93-5=88
Current State: 50:[38, 88], Operations: ['70-32=38', '93-5=88']
Exploring Operation: 88-38=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4
|
Current State: 50:[32, 70, 5, 93], Operations: []
Exploring Operation: 93-70=23, Resulting Numbers: [32, 5, 23]
Generated Node #0,0: 50:[32, 5, 23] Operation: 93-70=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[32, 5, 23], Operations: ['93-70=23']
Exploring Operation: 32-23=9, Resulting Numbers: [5, 9]
Generated Node #0,0,0: 50:[5, 9] Operation: 32-23=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 50:[5, 9], Operations: ['93-70=23', '32-23=9']
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,50 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
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
85,
52,
80,
93
] | 20
|
[
"85-52=33",
"93-80=13",
"33-13=20"
] |
Current State: 20:[85, 52, 80, 93], Operations: []
Exploring Operation: 85-52=33, Resulting Numbers: [80, 93, 33]
Generated Node #2: [80, 93, 33] from Operation: 85-52=33
Current State: 20:[80, 93, 33], Operations: ['85-52=33']
Exploring Operation: 93-80=13, Resulting Numbers: [33, 13]
Generated Node #3: [33, 13] from Operation: 93-80=13
Current State: 20:[33, 13], Operations: ['85-52=33', '93-80=13']
Exploring Operation: 33-13=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4
|
Current State: 20:[85, 52, 80, 93], Operations: []
Exploring Operation: 93-80=13, Resulting Numbers: [85, 52, 13]
Generated Node #0,0: 20:[85, 52, 13] Operation: 93-80=13
Exploring Operation: 93-85=8, Resulting Numbers: [52, 80, 8]
Generated Node #0,1: 20:[52, 80, 8] Operation: 93-85=8
Moving to Node #0,1
Current State: 20:[52, 80, 8], Operations: ['93-85=8']
Exploring Operation: 80-52=28, Resulting Numbers: [8, 28]
Generated Node #0,1,0: 20:[8, 28] Operation: 80-52=28
Exploring Operation: 80/8=10, Resulting Numbers: [52, 10]
Generated Node #0,1,1: 20:[52, 10] Operation: 80/8=10
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 20:[8, 28], Operations: ['93-85=8', '80-52=28']
Exploring Operation: 8+28=36, Resulting Numbers: [36]
36,20 unequal: No Solution
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[85, 52, 80, 93], Operations: []
Exploring Operation: 93-85=8, Resulting Numbers: [52, 80, 8]
Generated Node #0,1: 20:[52, 80, 8] Operation: 93-85=8
Moving to Node #0,1
Current State: 20:[52, 80, 8], Operations: ['93-85=8']
Exploring Operation: 80-52=28, Resulting Numbers: [8, 28]
Generated Node #0,1,0: 20:[8, 28] Operation: 80-52=28
Moving to Node #0,1,0
Current State: 20:[8, 28], Operations: ['93-85=8', '80-52=28']
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319
|
hs_2
|
mult_heuristic
|
[
4,
40,
20,
22
] | 22
|
[
"4+40=44",
"22-20=2",
"44/2=22"
] |
Current State: 22:[4, 40, 20, 22], Operations: []
Exploring Operation: 4+40=44, Resulting Numbers: [20, 22, 44]
Generated Node #2: [20, 22, 44] from Operation: 4+40=44
Current State: 22:[20, 22, 44], Operations: ['4+40=44']
Exploring Operation: 22-20=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 22-20=2
Current State: 22:[44, 2], Operations: ['4+40=44', '22-20=2']
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4
|
Current State: 22:[4, 40, 20, 22], Operations: []
Exploring Operation: 40-22=18, Resulting Numbers: [4, 20, 18]
Generated Node #0,0: 22:[4, 20, 18] Operation: 40-22=18
Exploring Operation: 40-20=20, Resulting Numbers: [4, 22, 20]
Generated Node #0,1: 22:[4, 22, 20] Operation: 40-20=20
Exploring Operation: 40/4=10, Resulting Numbers: [20, 22, 10]
Generated Node #0,2: 22:[20, 22, 10] Operation: 40/4=10
Exploring Operation: 40/20=2, Resulting Numbers: [4, 22, 2]
Generated Node #0,3: 22:[4, 22, 2] Operation: 40/20=2
Moving to Node #0,3
Current State: 22:[4, 22, 2], Operations: ['40/20=2']
Exploring Operation: 4/2=2, Resulting Numbers: [22, 2]
Generated Node #0,3,0: 22:[22, 2] Operation: 4/2=2
Exploring Operation: 22/2=11, Resulting Numbers: [4, 11]
Generated Node #0,3,1: 22:[4, 11] Operation: 22/2=11
Exploring Operation: 4*2=8, Resulting Numbers: [22, 8]
Generated Node #0,3,2: 22:[22, 8] Operation: 4*2=8
Exploring Operation: 4-2=2, Resulting Numbers: [22, 2]
Generated Node #0,3,3: 22:[22, 2] Operation: 4-2=2
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 22:[22, 2], Operations: ['40/20=2', '4/2=2']
Exploring Operation: 22*2=44, Resulting Numbers: [44]
44,22 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,22 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,22 unequal: No Solution
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 22:[22, 2], Operations: ['40/20=2', '4-2=2']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,22 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,22 unequal: No Solution
Exploring Operation: 22*2=44, Resulting Numbers: [44]
44,22 unequal: No Solution
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 22:[4, 11], Operations: ['40/20=2', '22/2=11']
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,22 unequal: No Solution
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,22 unequal: No Solution
Exploring Operation: 4+11=15, Resulting Numbers: [15]
15,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 22:[22, 8], Operations: ['40/20=2', '4*2=8']
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,22 unequal: No Solution
Exploring Operation: 22+8=30, Resulting Numbers: [30]
30,22 unequal: No Solution
Exploring Operation: 22*8=176, Resulting Numbers: [176]
176,22 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: 22:[20, 22, 10], Operations: ['40/4=10']
Exploring Operation: 20/10=2, Resulting Numbers: [22, 2]
Generated Node #0,2,0: 22:[22, 2] Operation: 20/10=2
Exploring Operation: 22-10=12, Resulting Numbers: [20, 12]
Generated Node #0,2,1: 22:[20, 12] Operation: 22-10=12
Exploring Operation: 20-10=10, Resulting Numbers: [22, 10]
Generated Node #0,2,2: 22:[22, 10] Operation: 20-10=10
Exploring Operation: 22-20=2, Resulting Numbers: [10, 2]
Generated Node #0,2,3: 22:[10, 2] Operation: 22-20=2
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 22:[22, 2], Operations: ['40/4=10', '20/10=2']
Exploring Operation: 22*2=44, Resulting Numbers: [44]
44,22 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,22 unequal: No Solution
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,22 unequal: No Solution
Exploring Operation: 22-2=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 #0,2,2
Current State: 22:[22, 10], Operations: ['40/4=10', '20-10=10']
Exploring Operation: 22*10=220, Resulting Numbers: [220]
220,22 unequal: No Solution
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,22 unequal: No Solution
Exploring Operation: 22+10=32, Resulting Numbers: [32]
32,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 22:[10, 2], Operations: ['40/4=10', '22-20=2']
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,22 unequal: No Solution
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,22 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 22:[20, 12], Operations: ['40/4=10', '22-10=12']
Exploring Operation: 20-12=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Exploring Operation: 20+12=32, Resulting Numbers: [32]
32,22 unequal: No Solution
Exploring Operation: 20*12=240, Resulting Numbers: [240]
240,22 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: 22:[4, 22, 20], Operations: ['40-20=20']
Exploring Operation: 4+20=24, Resulting Numbers: [22, 24]
Generated Node #0,1,0: 22:[22, 24] Operation: 4+20=24
Exploring Operation: 20/4=5, Resulting Numbers: [22, 5]
Generated Node #0,1,1: 22:[22, 5] Operation: 20/4=5
Exploring Operation: 22-20=2, Resulting Numbers: [4, 2]
Generated Node #0,1,2: 22:[4, 2] Operation: 22-20=2
Exploring Operation: 20-4=16, Resulting Numbers: [22, 16]
Generated Node #0,1,3: 22:[22, 16] Operation: 20-4=16
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 22:[22, 24], Operations: ['40-20=20', '4+20=24']
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Exploring Operation: 22*24=528, Resulting Numbers: [528]
528,22 unequal: No Solution
Exploring Operation: 22+24=46, Resulting Numbers: [46]
46,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 22:[4, 2], Operations: ['40-20=20', '22-20=2']
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,22 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 22:[22, 5], Operations: ['40-20=20', '20/4=5']
Exploring Operation: 22+5=27, Resulting Numbers: [27]
27,22 unequal: No Solution
Exploring Operation: 22-5=17, Resulting Numbers: [17]
17,22 unequal: No Solution
Exploring Operation: 22*5=110, Resulting Numbers: [110]
110,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 22:[22, 16], Operations: ['40-20=20', '20-4=16']
Exploring Operation: 22+16=38, Resulting Numbers: [38]
38,22 unequal: No Solution
Exploring Operation: 22*16=352, Resulting Numbers: [352]
352,22 unequal: No Solution
Exploring Operation: 22-16=6, Resulting Numbers: [6]
6,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 22:[4, 20, 18], Operations: ['40-22=18']
Exploring Operation: 4+18=22, Resulting Numbers: [20, 22]
Generated Node #0,0,0: 22:[20, 22] Operation: 4+18=22
Exploring Operation: 4+20=24, Resulting Numbers: [18, 24]
Generated Node #0,0,1: 22:[18, 24] Operation: 4+20=24
Exploring Operation: 18-4=14, Resulting Numbers: [20, 14]
Generated Node #0,0,2: 22:[20, 14] Operation: 18-4=14
Exploring Operation: 20-18=2, Resulting Numbers: [4, 2]
Generated Node #0,0,3: 22:[4, 2] Operation: 20-18=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 22:[20, 22], Operations: ['40-22=18', '4+18=22']
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,22 unequal: No Solution
Exploring Operation: 20*22=440, Resulting Numbers: [440]
440,22 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 #0,0,3
Current State: 22:[4, 2], Operations: ['40-22=18', '20-18=2']
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,22 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,22 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 #0,0,2
Current State: 22:[20, 14], Operations: ['40-22=18', '18-4=14']
Exploring Operation: 20-14=6, Resulting Numbers: [6]
6,22 unequal: No Solution
Exploring Operation: 20+14=34, Resulting Numbers: [34]
34,22 unequal: No Solution
Exploring Operation: 20*14=280, Resulting Numbers: [280]
280,22 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 #0,0,1
Current State: 22:[18, 24], Operations: ['40-22=18', '4+20=24']
Exploring Operation: 18*24=432, Resulting Numbers: [432]
432,22 unequal: No Solution
Exploring Operation: 24-18=6, Resulting Numbers: [6]
6,22 unequal: No Solution
Exploring Operation: 18+24=42, Resulting Numbers: [42]
42,22 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
|
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