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 |
|---|---|---|---|---|---|---|---|---|
[
12,
21,
40,
42
] | 30 | [
"40-12=28",
"42/21=2",
"28+2=30"
] | Current State: 30:[12, 21, 40, 42], Operations: []
Exploring Operation: 40-12=28, Resulting Numbers: [21, 42, 28]
Generated Node #2: [21, 42, 28] from Operation: 40-12=28
Current State: 30:[21, 42, 28], Operations: ['40-12=28']
Exploring Operation: 42/21=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 42/21=2
Current State: 30:[28, 2], Operations: ['40-12=28', '42/21=2']
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[12, 21, 40, 42], Operations: []
Exploring Operation: 42-21=21, Resulting Numbers: [12, 40, 21]
Generated Node #0,0: 30:[12, 40, 21] Operation: 42-21=21
Exploring Operation: 42-12=30, Resulting Numbers: [21, 40, 30]
Generated Node #0,1: 30:[21, 40, 30] Operation: 42-12=30
Exploring Operation: 42/21=2, Resulting Numbers: [12, 40, 2]
Generated Node #0,2: 30:[12, 40, 2] Operation: 42/21=2
Exploring Operation: 40-21=19, Resulting Numbers: [12, 42, 19]
Generated Node #0,3: 30:[12, 42, 19] Operation: 40-21=19
Exploring Operation: 42-40=2, Resulting Numbers: [12, 21, 2]
Generated Node #0,4: 30:[12, 21, 2] Operation: 42-40=2
Start Sub Search at level 1: Moving to Node #0,4
Current State: 30:[12, 21, 2], Operations: ['42-40=2']
Exploring Operation: 21-2=19, Resulting Numbers: [12, 19]
Generated Node #0,4,0: 30:[12, 19] Operation: 21-2=19
Exploring Operation: 12-2=10, Resulting Numbers: [21, 10]
Generated Node #0,4,1: 30:[21, 10] Operation: 12-2=10
Exploring Operation: 12+21=33, Resulting Numbers: [2, 33]
Generated Node #0,4,2: 30:[2, 33] Operation: 12+21=33
Exploring Operation: 21-12=9, Resulting Numbers: [2, 9]
Generated Node #0,4,3: 30:[2, 9] Operation: 21-12=9
Exploring Operation: 12/2=6, Resulting Numbers: [21, 6]
Generated Node #0,4,4: 30:[21, 6] Operation: 12/2=6
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 30:[2, 9], Operations: ['42-40=2', '21-12=9']
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,30 unequal: No Solution
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,30 unequal: No Solution
No 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: 30:[2, 33], Operations: ['42-40=2', '12+21=33']
Exploring Operation: 2+33=35, Resulting Numbers: [35]
35,30 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,30 unequal: No Solution
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 30:[12, 19], Operations: ['42-40=2', '21-2=19']
Exploring Operation: 12+19=31, Resulting Numbers: [31]
31,30 unequal: No Solution
Exploring Operation: 12*19=228, Resulting Numbers: [228]
228,30 unequal: No Solution
Exploring Operation: 19-12=7, Resulting Numbers: [7]
7,30 unequal: No Solution
No 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: 30:[21, 10], Operations: ['42-40=2', '12-2=10']
Exploring Operation: 21+10=31, Resulting Numbers: [31]
31,30 unequal: No Solution
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Exploring Operation: 21*10=210, Resulting Numbers: [210]
210,30 unequal: No Solution
No 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: 30:[21, 6], Operations: ['42-40=2', '12/2=6']
Exploring Operation: 21+6=27, Resulting Numbers: [27]
27,30 unequal: No Solution
Exploring Operation: 21*6=126, Resulting Numbers: [126]
126,30 unequal: No Solution
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 30:[12, 40, 2], Operations: ['42/21=2']
Exploring Operation: 40-2=38, Resulting Numbers: [12, 38]
Generated Node #0,2,0: 30:[12, 38] Operation: 40-2=38
Exploring Operation: 40-12=28, Resulting Numbers: [2, 28]
Generated Node #0,2,1: 30:[2, 28] Operation: 40-12=28
Exploring Operation: 12-2=10, Resulting Numbers: [40, 10]
Generated Node #0,2,2: 30:[40, 10] Operation: 12-2=10
Exploring Operation: 40/2=20, Resulting Numbers: [12, 20]
Generated Node #0,2,3: 30:[12, 20] Operation: 40/2=20
Exploring Operation: 12/2=6, Resulting Numbers: [40, 6]
Generated Node #0,2,4: 30:[40, 6] Operation: 12/2=6
Moving to Node #0,2,1
Current State: 30:[2, 28], Operations: ['42/21=2', '40-12=28']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,30 unequal: No Solution
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[12, 21, 40, 42], Operations: []
Exploring Operation: 42/21=2, Resulting Numbers: [12, 40, 2]
Generated Node #0,2: 30:[12, 40, 2] Operation: 42/21=2
Moving to Node #0,2
Current State: 30:[12, 40, 2], Operations: ['42/21=2']
Exploring Operation: 40-12=28, Resulting Numbers: [2, 28]
Generated Node #0,2,1: 30:[2, 28] Operation: 40-12=28
Moving to Node #0,2,1
Current State: 30:[2, 28], Operations: ['42/21=2', '40-12=28']
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_5 | sum_heuristic |
[
94,
8,
80,
34
] | 83 | [
"94+8=102",
"102/34=3",
"80+3=83"
] | Current State: 83:[94, 8, 80, 34], Operations: []
Exploring Operation: 94+8=102, Resulting Numbers: [80, 34, 102]
Generated Node #2: [80, 34, 102] from Operation: 94+8=102
Current State: 83:[80, 34, 102], Operations: ['94+8=102']
Exploring Operation: 102/34=3, Resulting Numbers: [80, 3]
Generated Node #3: [80, 3] from Operation: 102/34=3
Current State: 83:[80, 3], Operations: ['94+8=102', '102/34=3']
Exploring Operation: 80+3=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[94, 8, 80, 34], Operations: []
Exploring Operation: 94-8=86, Resulting Numbers: [80, 34, 86]
Generated Node #0,0: 83:[80, 34, 86] Operation: 94-8=86
Exploring Operation: 8+34=42, Resulting Numbers: [94, 80, 42]
Generated Node #0,1: 83:[94, 80, 42] Operation: 8+34=42
Moving to Node #0,0
Current State: 83:[80, 34, 86], Operations: ['94-8=86']
Exploring Operation: 80+34=114, Resulting Numbers: [86, 114]
Generated Node #0,0,0: 83:[86, 114] Operation: 80+34=114
Exploring Operation: 86-34=52, Resulting Numbers: [80, 52]
Generated Node #0,0,1: 83:[80, 52] Operation: 86-34=52
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 83:[86, 114], Operations: ['94-8=86', '80+34=114']
Exploring Operation: 114-86=28, Resulting Numbers: [28]
28,83 unequal: No Solution
Exploring Operation: 86+114=200, Resulting Numbers: [200]
200,83 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:[80, 52], Operations: ['94-8=86', '86-34=52']
Exploring Operation: 80+52=132, Resulting Numbers: [132]
132,83 unequal: No Solution
Exploring Operation: 80-52=28, Resulting Numbers: [28]
28,83 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: 83:[94, 80, 42], Operations: ['8+34=42']
Exploring Operation: 94-42=52, Resulting Numbers: [80, 52]
Generated Node #0,1,0: 83:[80, 52] Operation: 94-42=52
Exploring Operation: 80+42=122, Resulting Numbers: [94, 122]
Generated Node #0,1,1: 83:[94, 122] Operation: 80+42=122
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 83:[80, 52], Operations: ['8+34=42', '94-42=52']
Exploring Operation: 80-52=28, Resulting Numbers: [28]
28,83 unequal: No Solution
Exploring Operation: 80+52=132, Resulting Numbers: [132]
132,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 83:[94, 122], Operations: ['8+34=42', '80+42=122']
Exploring Operation: 122-94=28, Resulting Numbers: [28]
28,83 unequal: No Solution
Exploring Operation: 94+122=216, Resulting Numbers: [216]
216,83 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 |
[
62,
95,
55,
20
] | 64 | [
"95-55=40",
"40/20=2",
"62+2=64"
] | Current State: 64:[62, 95, 55, 20], Operations: []
Exploring Operation: 95-55=40, Resulting Numbers: [62, 20, 40]
Generated Node #2: [62, 20, 40] from Operation: 95-55=40
Current State: 64:[62, 20, 40], Operations: ['95-55=40']
Exploring Operation: 40/20=2, Resulting Numbers: [62, 2]
Generated Node #3: [62, 2] from Operation: 40/20=2
Current State: 64:[62, 2], Operations: ['95-55=40', '40/20=2']
Exploring Operation: 62+2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[62, 95, 55, 20], Operations: []
Exploring Operation: 95-55=40, Resulting Numbers: [62, 20, 40]
Generated Node #0,0: 64:[62, 20, 40] Operation: 95-55=40
Exploring Operation: 95-62=33, Resulting Numbers: [55, 20, 33]
Generated Node #0,1: 64:[55, 20, 33] Operation: 95-62=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[62, 20, 40], Operations: ['95-55=40']
Exploring Operation: 20+40=60, Resulting Numbers: [62, 60]
Generated Node #0,0,0: 64:[62, 60] Operation: 20+40=60
Exploring Operation: 40/20=2, Resulting Numbers: [62, 2]
Generated Node #0,0,1: 64:[62, 2] Operation: 40/20=2
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 64:[62, 2], Operations: ['95-55=40', '40/20=2']
Exploring Operation: 62+2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[62, 95, 55, 20], Operations: []
Exploring Operation: 95-55=40, Resulting Numbers: [62, 20, 40]
Generated Node #0,0: 64:[62, 20, 40] Operation: 95-55=40
Moving to Node #0,0
Current State: 64:[62, 20, 40], Operations: ['95-55=40']
Exploring Operation: 40/20=2, Resulting Numbers: [62, 2]
Generated Node #0,0,1: 64:[62, 2] Operation: 40/20=2
Moving to Node #0,0,1
Current State: 64:[62, 2], Operations: ['95-55=40', '40/20=2']
Exploring Operation: 62+2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
53,
11,
33,
72
] | 81 | [
"53-11=42",
"72-33=39",
"42+39=81"
] | Current State: 81:[53, 11, 33, 72], Operations: []
Exploring Operation: 53-11=42, Resulting Numbers: [33, 72, 42]
Generated Node #2: [33, 72, 42] from Operation: 53-11=42
Current State: 81:[33, 72, 42], Operations: ['53-11=42']
Exploring Operation: 72-33=39, Resulting Numbers: [42, 39]
Generated Node #3: [42, 39] from Operation: 72-33=39
Current State: 81:[42, 39], Operations: ['53-11=42', '72-33=39']
Exploring Operation: 42+39=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[53, 11, 33, 72], Operations: []
Exploring Operation: 72-53=19, Resulting Numbers: [11, 33, 19]
Generated Node #0,0: 81:[11, 33, 19] Operation: 72-53=19
Exploring Operation: 53+33=86, Resulting Numbers: [11, 72, 86]
Generated Node #0,1: 81:[11, 72, 86] Operation: 53+33=86
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[11, 33, 19], Operations: ['72-53=19']
Exploring Operation: 33-19=14, Resulting Numbers: [11, 14]
Generated Node #0,0,0: 81:[11, 14] Operation: 33-19=14
Exploring Operation: 19-11=8, Resulting Numbers: [33, 8]
Generated Node #0,0,1: 81:[33, 8] Operation: 19-11=8
Moving to Node #0,0,0
Current State: 81:[11, 14], Operations: ['72-53=19', '33-19=14']
Exploring Operation: 11+14=25, Resulting Numbers: [25]
25,81 unequal: No Solution
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,81 unequal: No Solution
Moving to Node #0,0,1
Current State: 81:[33, 8], Operations: ['72-53=19', '19-11=8']
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,81 unequal: No Solution
Exploring Operation: 33+8=41, Resulting Numbers: [41]
41,81 unequal: No Solution
No 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: 81:[11, 72, 86], Operations: ['53+33=86']
Exploring Operation: 86-72=14, Resulting Numbers: [11, 14]
Generated Node #0,1,0: 81:[11, 14] Operation: 86-72=14
Exploring Operation: 11+72=83, Resulting Numbers: [86, 83]
Generated Node #0,1,1: 81:[86, 83] Operation: 11+72=83
Moving to Node #0,1,0
Current State: 81:[11, 14], Operations: ['53+33=86', '86-72=14']
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,81 unequal: No Solution
Exploring Operation: 11+14=25, Resulting Numbers: [25]
25,81 unequal: No Solution
Moving to Node #0,1,1
Current State: 81:[86, 83], Operations: ['53+33=86', '11+72=83']
Exploring Operation: 86+83=169, Resulting Numbers: [169]
169,81 unequal: No Solution
Exploring Operation: 86-83=3, Resulting Numbers: [3]
3,81 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 |
[
11,
14,
24,
33
] | 22 | [
"11*24=264",
"264/33=8",
"14+8=22"
] | Current State: 22:[11, 14, 24, 33], Operations: []
Exploring Operation: 11*24=264, Resulting Numbers: [14, 33, 264]
Generated Node #2: [14, 33, 264] from Operation: 11*24=264
Current State: 22:[14, 33, 264], Operations: ['11*24=264']
Exploring Operation: 264/33=8, Resulting Numbers: [14, 8]
Generated Node #3: [14, 8] from Operation: 264/33=8
Current State: 22:[14, 8], Operations: ['11*24=264', '264/33=8']
Exploring Operation: 14+8=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[11, 14, 24, 33], Operations: []
Exploring Operation: 33-11=22, Resulting Numbers: [14, 24, 22]
Generated Node #0,0: 22:[14, 24, 22] Operation: 33-11=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[14, 24, 22], Operations: ['33-11=22']
Exploring Operation: 24-14=10, Resulting Numbers: [22, 10]
Generated Node #0,0,0: 22:[22, 10] Operation: 24-14=10
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 22:[22, 10], Operations: ['33-11=22', '24-14=10']
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,22 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
No solution found.
| 0 | hs_1 | sum_heuristic |
[
94,
6,
12,
74
] | 28 | [
"94+74=168",
"12-6=6",
"168/6=28"
] | Current State: 28:[94, 6, 12, 74], Operations: []
Exploring Operation: 94+74=168, Resulting Numbers: [6, 12, 168]
Generated Node #2: [6, 12, 168] from Operation: 94+74=168
Current State: 28:[6, 12, 168], Operations: ['94+74=168']
Exploring Operation: 12-6=6, Resulting Numbers: [168, 6]
Generated Node #3: [168, 6] from Operation: 12-6=6
Current State: 28:[168, 6], Operations: ['94+74=168', '12-6=6']
Exploring Operation: 168/6=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[94, 6, 12, 74], Operations: []
Exploring Operation: 94-74=20, Resulting Numbers: [6, 12, 20]
Generated Node #0,0: 28:[6, 12, 20] Operation: 94-74=20
Exploring Operation: 94-12=82, Resulting Numbers: [6, 74, 82]
Generated Node #0,1: 28:[6, 74, 82] Operation: 94-12=82
Exploring Operation: 74-12=62, Resulting Numbers: [94, 6, 62]
Generated Node #0,2: 28:[94, 6, 62] Operation: 74-12=62
Moving to Node #0,0
Current State: 28:[6, 12, 20], Operations: ['94-74=20']
Exploring Operation: 20-12=8, Resulting Numbers: [6, 8]
Generated Node #0,0,0: 28:[6, 8] Operation: 20-12=8
Exploring Operation: 20-6=14, Resulting Numbers: [12, 14]
Generated Node #0,0,1: 28:[12, 14] Operation: 20-6=14
Exploring Operation: 6+20=26, Resulting Numbers: [12, 26]
Generated Node #0,0,2: 28:[12, 26] Operation: 6+20=26
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 28:[6, 8], Operations: ['94-74=20', '20-12=8']
Exploring Operation: 6+8=14, Resulting Numbers: [14]
14,28 unequal: No Solution
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,28 unequal: No Solution
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,28 unequal: No Solution
No 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: 28:[12, 14], Operations: ['94-74=20', '20-6=14']
Exploring Operation: 14-12=2, Resulting Numbers: [2]
2,28 unequal: No Solution
Exploring Operation: 12+14=26, Resulting Numbers: [26]
26,28 unequal: No Solution
Exploring Operation: 12*14=168, Resulting Numbers: [168]
168,28 unequal: No Solution
No 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: 28:[12, 26], Operations: ['94-74=20', '6+20=26']
Exploring Operation: 12+26=38, Resulting Numbers: [38]
38,28 unequal: No Solution
Exploring Operation: 26-12=14, Resulting Numbers: [14]
14,28 unequal: No Solution
Exploring Operation: 12*26=312, Resulting Numbers: [312]
312,28 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: 28:[6, 74, 82], Operations: ['94-12=82']
Exploring Operation: 82-6=76, Resulting Numbers: [74, 76]
Generated Node #0,1,0: 28:[74, 76] Operation: 82-6=76
Exploring Operation: 74-6=68, Resulting Numbers: [82, 68]
Generated Node #0,1,1: 28:[82, 68] Operation: 74-6=68
Exploring Operation: 82-74=8, Resulting Numbers: [6, 8]
Generated Node #0,1,2: 28:[6, 8] Operation: 82-74=8
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 28:[6, 8], Operations: ['94-12=82', '82-74=8']
Exploring Operation: 6+8=14, Resulting Numbers: [14]
14,28 unequal: No Solution
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,28 unequal: No Solution
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,28 unequal: No Solution
No 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: 28:[74, 76], Operations: ['94-12=82', '82-6=76']
Exploring Operation: 74*76=5624, Resulting Numbers: [5624]
5624,28 unequal: No Solution
Exploring Operation: 74+76=150, Resulting Numbers: [150]
150,28 unequal: No Solution
Exploring Operation: 76-74=2, Resulting Numbers: [2]
2,28 unequal: No Solution
No 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: 28:[82, 68], Operations: ['94-12=82', '74-6=68']
Exploring Operation: 82-68=14, Resulting Numbers: [14]
14,28 unequal: No Solution
Exploring Operation: 82*68=5576, Resulting Numbers: [5576]
5576,28 unequal: No Solution
Exploring Operation: 82+68=150, Resulting Numbers: [150]
150,28 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: 28:[94, 6, 62], Operations: ['74-12=62']
Exploring Operation: 62-6=56, Resulting Numbers: [94, 56]
Generated Node #0,2,0: 28:[94, 56] Operation: 62-6=56
Exploring Operation: 94-62=32, Resulting Numbers: [6, 32]
Generated Node #0,2,1: 28:[6, 32] Operation: 94-62=32
Exploring Operation: 94-6=88, Resulting Numbers: [62, 88]
Generated Node #0,2,2: 28:[62, 88] Operation: 94-6=88
Moving to Node #0,2,1
Current State: 28:[6, 32], Operations: ['74-12=62', '94-62=32']
Exploring Operation: 6+32=38, Resulting Numbers: [38]
38,28 unequal: No Solution
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,28 unequal: No Solution
Exploring Operation: 6*32=192, Resulting Numbers: [192]
192,28 unequal: No Solution
Moving to Node #0,2,0
Current State: 28:[94, 56], Operations: ['74-12=62', '62-6=56']
Exploring Operation: 94+56=150, Resulting Numbers: [150]
150,28 unequal: No Solution
Exploring Operation: 94*56=5264, Resulting Numbers: [5264]
5264,28 unequal: No Solution
Exploring Operation: 94-56=38, Resulting Numbers: [38]
38,28 unequal: No Solution
Moving to Node #0,2,2
Current State: 28:[62, 88], Operations: ['74-12=62', '94-6=88']
Exploring Operation: 62+88=150, Resulting Numbers: [150]
150,28 unequal: No Solution
Exploring Operation: 62*88=5456, Resulting Numbers: [5456]
5456,28 unequal: No Solution
Exploring Operation: 88-62=26, Resulting Numbers: [26]
26,28 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
61,
67,
2,
27
] | 50 | [
"61-27=34",
"34/2=17",
"67-17=50"
] | Current State: 50:[61, 67, 2, 27], Operations: []
Exploring Operation: 61-27=34, Resulting Numbers: [67, 2, 34]
Generated Node #2: [67, 2, 34] from Operation: 61-27=34
Current State: 50:[67, 2, 34], Operations: ['61-27=34']
Exploring Operation: 34/2=17, Resulting Numbers: [67, 17]
Generated Node #3: [67, 17] from Operation: 34/2=17
Current State: 50:[67, 17], Operations: ['61-27=34', '34/2=17']
Exploring Operation: 67-17=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[61, 67, 2, 27], Operations: []
Exploring Operation: 61-27=34, Resulting Numbers: [67, 2, 34]
Generated Node #0,0: 50:[67, 2, 34] Operation: 61-27=34
Exploring Operation: 67-27=40, Resulting Numbers: [61, 2, 40]
Generated Node #0,1: 50:[61, 2, 40] Operation: 67-27=40
Exploring Operation: 67-61=6, Resulting Numbers: [2, 27, 6]
Generated Node #0,2: 50:[2, 27, 6] Operation: 67-61=6
Moving to Node #0,2
Current State: 50:[2, 27, 6], Operations: ['67-61=6']
Exploring Operation: 6-2=4, Resulting Numbers: [27, 4]
Generated Node #0,2,0: 50:[27, 4] Operation: 6-2=4
Exploring Operation: 6/2=3, Resulting Numbers: [27, 3]
Generated Node #0,2,1: 50:[27, 3] Operation: 6/2=3
Exploring Operation: 27-2=25, Resulting Numbers: [6, 25]
Generated Node #0,2,2: 50:[6, 25] Operation: 27-2=25
Moving to Node #0,1
Current State: 50:[61, 2, 40], Operations: ['67-27=40']
Exploring Operation: 61-2=59, Resulting Numbers: [40, 59]
Generated Node #0,1,0: 50:[40, 59] Operation: 61-2=59
Exploring Operation: 40/2=20, Resulting Numbers: [61, 20]
Generated Node #0,1,1: 50:[61, 20] Operation: 40/2=20
Exploring Operation: 61-40=21, Resulting Numbers: [2, 21]
Generated Node #0,1,2: 50:[2, 21] Operation: 61-40=21
Moving to Node #0,0
Current State: 50:[67, 2, 34], Operations: ['61-27=34']
Exploring Operation: 34-2=32, Resulting Numbers: [67, 32]
Generated Node #0,0,0: 50:[67, 32] Operation: 34-2=32
Exploring Operation: 67-2=65, Resulting Numbers: [34, 65]
Generated Node #0,0,1: 50:[34, 65] Operation: 67-2=65
Exploring Operation: 67-34=33, Resulting Numbers: [2, 33]
Generated Node #0,0,2: 50:[2, 33] Operation: 67-34=33
Moving to Node #0,2,2
Current State: 50:[6, 25], Operations: ['67-61=6', '27-2=25']
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,50 unequal: No Solution
Exploring Operation: 6+25=31, Resulting Numbers: [31]
31,50 unequal: No Solution
Exploring Operation: 6*25=150, Resulting Numbers: [150]
150,50 unequal: No Solution
Moving to Node #0,2,1
Current State: 50:[27, 3], Operations: ['67-61=6', '6/2=3']
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,50 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,50 unequal: No Solution
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,50 unequal: No Solution
Moving to Node #0,2,0
Current State: 50:[27, 4], Operations: ['67-61=6', '6-2=4']
Exploring Operation: 27+4=31, Resulting Numbers: [31]
31,50 unequal: No Solution
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,50 unequal: No Solution
Exploring Operation: 27*4=108, Resulting Numbers: [108]
108,50 unequal: No Solution
Moving to Node #0,1,2
Current State: 50:[2, 21], Operations: ['67-27=40', '61-40=21']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,50 unequal: No Solution
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,50 unequal: No Solution
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,50 unequal: No Solution
Moving to Node #0,0,2
Current State: 50:[2, 33], Operations: ['61-27=34', '67-34=33']
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,50 unequal: No Solution
Exploring Operation: 2+33=35, Resulting Numbers: [35]
35,50 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,50 unequal: No Solution
Moving to Node #0,1,1
Current State: 50:[61, 20], Operations: ['67-27=40', '40/2=20']
Exploring Operation: 61*20=1220, Resulting Numbers: [1220]
1220,50 unequal: No Solution
Exploring Operation: 61+20=81, Resulting Numbers: [81]
81,50 unequal: No Solution
Exploring Operation: 61-20=41, Resulting Numbers: [41]
41,50 unequal: No Solution
Moving to Node #0,1,0
Current State: 50:[40, 59], Operations: ['67-27=40', '61-2=59']
Exploring Operation: 59-40=19, Resulting Numbers: [19]
19,50 unequal: No Solution
Exploring Operation: 40+59=99, Resulting Numbers: [99]
99,50 unequal: No Solution
Exploring Operation: 40*59=2360, Resulting Numbers: [2360]
2360,50 unequal: No Solution
Moving to Node #0,0,0
Current State: 50:[67, 32], Operations: ['61-27=34', '34-2=32']
Exploring Operation: 67+32=99, Resulting Numbers: [99]
99,50 unequal: No Solution
Exploring Operation: 67-32=35, Resulting Numbers: [35]
35,50 unequal: No Solution
Exploring Operation: 67*32=2144, Resulting Numbers: [2144]
2144,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[34, 65], Operations: ['61-27=34', '67-2=65']
Exploring Operation: 34+65=99, Resulting Numbers: [99]
99,50 unequal: No Solution
Exploring Operation: 34*65=2210, Resulting Numbers: [2210]
2210,50 unequal: No Solution
Exploring Operation: 65-34=31, Resulting Numbers: [31]
31,50 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
86,
17,
72,
48
] | 79 | [
"86+17=103",
"72-48=24",
"103-24=79"
] | Current State: 79:[86, 17, 72, 48], Operations: []
Exploring Operation: 86+17=103, Resulting Numbers: [72, 48, 103]
Generated Node #2: [72, 48, 103] from Operation: 86+17=103
Current State: 79:[72, 48, 103], Operations: ['86+17=103']
Exploring Operation: 72-48=24, Resulting Numbers: [103, 24]
Generated Node #3: [103, 24] from Operation: 72-48=24
Current State: 79:[103, 24], Operations: ['86+17=103', '72-48=24']
Exploring Operation: 103-24=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[86, 17, 72, 48], Operations: []
Exploring Operation: 86+17=103, Resulting Numbers: [72, 48, 103]
Generated Node #0,0: 79:[72, 48, 103] Operation: 86+17=103
Exploring Operation: 17+72=89, Resulting Numbers: [86, 48, 89]
Generated Node #0,1: 79:[86, 48, 89] Operation: 17+72=89
Exploring Operation: 86-17=69, Resulting Numbers: [72, 48, 69]
Generated Node #0,2: 79:[72, 48, 69] Operation: 86-17=69
Exploring Operation: 17+48=65, Resulting Numbers: [86, 72, 65]
Generated Node #0,3: 79:[86, 72, 65] Operation: 17+48=65
Exploring Operation: 72-17=55, Resulting Numbers: [86, 48, 55]
Generated Node #0,4: 79:[86, 48, 55] Operation: 72-17=55
Moving to Node #0,3
Current State: 79:[86, 72, 65], Operations: ['17+48=65']
Exploring Operation: 86-65=21, Resulting Numbers: [72, 21]
Generated Node #0,3,0: 79:[72, 21] Operation: 86-65=21
Exploring Operation: 72-65=7, Resulting Numbers: [86, 7]
Generated Node #0,3,1: 79:[86, 7] Operation: 72-65=7
Exploring Operation: 86-72=14, Resulting Numbers: [65, 14]
Generated Node #0,3,2: 79:[65, 14] Operation: 86-72=14
Exploring Operation: 72+65=137, Resulting Numbers: [86, 137]
Generated Node #0,3,3: 79:[86, 137] Operation: 72+65=137
Exploring Operation: 86+65=151, Resulting Numbers: [72, 151]
Generated Node #0,3,4: 79:[72, 151] Operation: 86+65=151
Moving to Node #0,2
Current State: 79:[72, 48, 69], Operations: ['86-17=69']
Exploring Operation: 48+69=117, Resulting Numbers: [72, 117]
Generated Node #0,2,0: 79:[72, 117] Operation: 48+69=117
Exploring Operation: 72+69=141, Resulting Numbers: [48, 141]
Generated Node #0,2,1: 79:[48, 141] Operation: 72+69=141
Exploring Operation: 72+48=120, Resulting Numbers: [69, 120]
Generated Node #0,2,2: 79:[69, 120] Operation: 72+48=120
Exploring Operation: 72-48=24, Resulting Numbers: [69, 24]
Generated Node #0,2,3: 79:[69, 24] Operation: 72-48=24
Exploring Operation: 69-48=21, Resulting Numbers: [72, 21]
Generated Node #0,2,4: 79:[72, 21] Operation: 69-48=21
Moving to Node #0,1
Current State: 79:[86, 48, 89], Operations: ['17+72=89']
Exploring Operation: 48+89=137, Resulting Numbers: [86, 137]
Generated Node #0,1,0: 79:[86, 137] Operation: 48+89=137
Exploring Operation: 89-48=41, Resulting Numbers: [86, 41]
Generated Node #0,1,1: 79:[86, 41] Operation: 89-48=41
Exploring Operation: 86+48=134, Resulting Numbers: [89, 134]
Generated Node #0,1,2: 79:[89, 134] Operation: 86+48=134
Exploring Operation: 89-86=3, Resulting Numbers: [48, 3]
Generated Node #0,1,3: 79:[48, 3] Operation: 89-86=3
Exploring Operation: 86-48=38, Resulting Numbers: [89, 38]
Generated Node #0,1,4: 79:[89, 38] Operation: 86-48=38
Moving to Node #0,0
Current State: 79:[72, 48, 103], Operations: ['86+17=103']
Exploring Operation: 72-48=24, Resulting Numbers: [103, 24]
Generated Node #0,0,0: 79:[103, 24] Operation: 72-48=24
Exploring Operation: 72+48=120, Resulting Numbers: [103, 120]
Generated Node #0,0,1: 79:[103, 120] Operation: 72+48=120
Exploring Operation: 103-48=55, Resulting Numbers: [72, 55]
Generated Node #0,0,2: 79:[72, 55] Operation: 103-48=55
Exploring Operation: 103-72=31, Resulting Numbers: [48, 31]
Generated Node #0,0,3: 79:[48, 31] Operation: 103-72=31
Exploring Operation: 48+103=151, Resulting Numbers: [72, 151]
Generated Node #0,0,4: 79:[72, 151] Operation: 48+103=151
Moving to Node #0,4
Current State: 79:[86, 48, 55], Operations: ['72-17=55']
Exploring Operation: 86-48=38, Resulting Numbers: [55, 38]
Generated Node #0,4,0: 79:[55, 38] Operation: 86-48=38
Exploring Operation: 48+55=103, Resulting Numbers: [86, 103]
Generated Node #0,4,1: 79:[86, 103] Operation: 48+55=103
Exploring Operation: 86-55=31, Resulting Numbers: [48, 31]
Generated Node #0,4,2: 79:[48, 31] Operation: 86-55=31
Exploring Operation: 55-48=7, Resulting Numbers: [86, 7]
Generated Node #0,4,3: 79:[86, 7] Operation: 55-48=7
Exploring Operation: 86+48=134, Resulting Numbers: [55, 134]
Generated Node #0,4,4: 79:[55, 134] Operation: 86+48=134
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 79:[86, 103], Operations: ['72-17=55', '48+55=103']
Exploring Operation: 86*103=8858, Resulting Numbers: [8858]
8858,79 unequal: No Solution
Exploring Operation: 86+103=189, Resulting Numbers: [189]
189,79 unequal: No Solution
Exploring Operation: 103-86=17, Resulting Numbers: [17]
17,79 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:[55, 38], Operations: ['72-17=55', '86-48=38']
Exploring Operation: 55+38=93, Resulting Numbers: [93]
93,79 unequal: No Solution
Exploring Operation: 55*38=2090, Resulting Numbers: [2090]
2090,79 unequal: No Solution
Exploring Operation: 55-38=17, Resulting Numbers: [17]
17,79 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:[48, 31], Operations: ['72-17=55', '86-55=31']
Exploring Operation: 48*31=1488, Resulting Numbers: [1488]
1488,79 unequal: No Solution
Exploring Operation: 48+31=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[86, 17, 72, 48], Operations: []
Exploring Operation: 72-17=55, Resulting Numbers: [86, 48, 55]
Generated Node #0,4: 79:[86, 48, 55] Operation: 72-17=55
Moving to Node #0,4
Current State: 79:[86, 48, 55], Operations: ['72-17=55']
Exploring Operation: 86-55=31, Resulting Numbers: [48, 31]
Generated Node #0,4,2: 79:[48, 31] Operation: 86-55=31
Moving to Node #0,4,2
Current State: 79:[48, 31], Operations: ['72-17=55', '86-55=31']
Exploring Operation: 48+31=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 | hs_5 | sum_heuristic |
[
27,
58,
97,
86
] | 97 | [
"27+58=85",
"86-85=1",
"97*1=97"
] | Current State: 97:[27, 58, 97, 86], Operations: []
Exploring Operation: 27+58=85, Resulting Numbers: [97, 86, 85]
Generated Node #2: [97, 86, 85] from Operation: 27+58=85
Current State: 97:[97, 86, 85], Operations: ['27+58=85']
Exploring Operation: 86-85=1, Resulting Numbers: [97, 1]
Generated Node #3: [97, 1] from Operation: 86-85=1
Current State: 97:[97, 1], Operations: ['27+58=85', '86-85=1']
Exploring Operation: 97*1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[27, 58, 97, 86], Operations: []
Exploring Operation: 27+86=113, Resulting Numbers: [58, 97, 113]
Generated Node #0,0: 97:[58, 97, 113] Operation: 27+86=113
Exploring Operation: 27+97=124, Resulting Numbers: [58, 86, 124]
Generated Node #0,1: 97:[58, 86, 124] Operation: 27+97=124
Exploring Operation: 27+58=85, Resulting Numbers: [97, 86, 85]
Generated Node #0,2: 97:[97, 86, 85] Operation: 27+58=85
Exploring Operation: 58-27=31, Resulting Numbers: [97, 86, 31]
Generated Node #0,3: 97:[97, 86, 31] Operation: 58-27=31
Moving to Node #0,2
Current State: 97:[97, 86, 85], Operations: ['27+58=85']
Exploring Operation: 86+85=171, Resulting Numbers: [97, 171]
Generated Node #0,2,0: 97:[97, 171] Operation: 86+85=171
Exploring Operation: 97+85=182, Resulting Numbers: [86, 182]
Generated Node #0,2,1: 97:[86, 182] Operation: 97+85=182
Exploring Operation: 86-85=1, Resulting Numbers: [97, 1]
Generated Node #0,2,2: 97:[97, 1] Operation: 86-85=1
Exploring Operation: 97-85=12, Resulting Numbers: [86, 12]
Generated Node #0,2,3: 97:[86, 12] Operation: 97-85=12
Moving to Node #0,0
Current State: 97:[58, 97, 113], Operations: ['27+86=113']
Exploring Operation: 97-58=39, Resulting Numbers: [113, 39]
Generated Node #0,0,0: 97:[113, 39] Operation: 97-58=39
Exploring Operation: 113-58=55, Resulting Numbers: [97, 55]
Generated Node #0,0,1: 97:[97, 55] Operation: 113-58=55
Exploring Operation: 58+97=155, Resulting Numbers: [113, 155]
Generated Node #0,0,2: 97:[113, 155] Operation: 58+97=155
Exploring Operation: 58+113=171, Resulting Numbers: [97, 171]
Generated Node #0,0,3: 97:[97, 171] Operation: 58+113=171
Moving to Node #0,3
Current State: 97:[97, 86, 31], Operations: ['58-27=31']
Exploring Operation: 97+31=128, Resulting Numbers: [86, 128]
Generated Node #0,3,0: 97:[86, 128] Operation: 97+31=128
Exploring Operation: 86-31=55, Resulting Numbers: [97, 55]
Generated Node #0,3,1: 97:[97, 55] Operation: 86-31=55
Exploring Operation: 97-31=66, Resulting Numbers: [86, 66]
Generated Node #0,3,2: 97:[86, 66] Operation: 97-31=66
Exploring Operation: 86+31=117, Resulting Numbers: [97, 117]
Generated Node #0,3,3: 97:[97, 117] Operation: 86+31=117
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 97:[97, 117], Operations: ['58-27=31', '86+31=117']
Exploring Operation: 117-97=20, Resulting Numbers: [20]
20,97 unequal: No Solution
Exploring Operation: 97*117=11349, Resulting Numbers: [11349]
11349,97 unequal: No Solution
Exploring Operation: 97+117=214, Resulting Numbers: [214]
214,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 97:[86, 128], Operations: ['58-27=31', '97+31=128']
Exploring Operation: 86*128=11008, Resulting Numbers: [11008]
11008,97 unequal: No Solution
Exploring Operation: 86+128=214, Resulting Numbers: [214]
214,97 unequal: No Solution
Exploring Operation: 128-86=42, Resulting Numbers: [42]
42,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 97:[97, 55], Operations: ['58-27=31', '86-31=55']
Exploring Operation: 97-55=42, Resulting Numbers: [42]
42,97 unequal: No Solution
Exploring Operation: 97+55=152, Resulting Numbers: [152]
152,97 unequal: No Solution
Exploring Operation: 97*55=5335, Resulting Numbers: [5335]
5335,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 97:[86, 66], Operations: ['58-27=31', '97-31=66']
Exploring Operation: 86*66=5676, Resulting Numbers: [5676]
5676,97 unequal: No Solution
Exploring Operation: 86-66=20, Resulting Numbers: [20]
20,97 unequal: No Solution
Exploring Operation: 86+66=152, Resulting Numbers: [152]
152,97 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: 97:[58, 86, 124], Operations: ['27+97=124']
Exploring Operation: 124-58=66, Resulting Numbers: [86, 66]
Generated Node #0,1,0: 97:[86, 66] Operation: 124-58=66
Exploring Operation: 58+86=144, Resulting Numbers: [124, 144]
Generated Node #0,1,1: 97:[124, 144] Operation: 58+86=144
Exploring Operation: 86-58=28, Resulting Numbers: [124, 28]
Generated Node #0,1,2: 97:[124, 28] Operation: 86-58=28
Exploring Operation: 58+124=182, Resulting Numbers: [86, 182]
Generated Node #0,1,3: 97:[86, 182] Operation: 58+124=182
Moving to Node #0,0,1
Current State: 97:[97, 55], Operations: ['27+86=113', '113-58=55']
Exploring Operation: 97*55=5335, Resulting Numbers: [5335]
5335,97 unequal: No Solution
Exploring Operation: 97-55=42, Resulting Numbers: [42]
42,97 unequal: No Solution
Exploring Operation: 97+55=152, Resulting Numbers: [152]
152,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[86, 66], Operations: ['27+97=124', '124-58=66']
Exploring Operation: 86*66=5676, Resulting Numbers: [5676]
5676,97 unequal: No Solution
Exploring Operation: 86-66=20, Resulting Numbers: [20]
20,97 unequal: No Solution
Exploring Operation: 86+66=152, Resulting Numbers: [152]
152,97 unequal: No Solution
Moving to Node #0,0,0
Current State: 97:[113, 39], Operations: ['27+86=113', '97-58=39']
Exploring Operation: 113-39=74, Resulting Numbers: [74]
74,97 unequal: No Solution
Exploring Operation: 113*39=4407, Resulting Numbers: [4407]
4407,97 unequal: No Solution
Exploring Operation: 113+39=152, Resulting Numbers: [152]
152,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[113, 155], Operations: ['27+86=113', '58+97=155']
Exploring Operation: 155-113=42, Resulting Numbers: [42]
42,97 unequal: No Solution
Exploring Operation: 113*155=17515, Resulting Numbers: [17515]
17515,97 unequal: No Solution
Exploring Operation: 113+155=268, Resulting Numbers: [268]
268,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[124, 144], Operations: ['27+97=124', '58+86=144']
Exploring Operation: 144-124=20, Resulting Numbers: [20]
20,97 unequal: No Solution
Exploring Operation: 124*144=17856, Resulting Numbers: [17856]
17856,97 unequal: No Solution
Exploring Operation: 124+144=268, Resulting Numbers: [268]
268,97 unequal: No Solution
Moving to Node #0,2,0
Current State: 97:[97, 171], Operations: ['27+58=85', '86+85=171']
Exploring Operation: 171-97=74, Resulting Numbers: [74]
74,97 unequal: No Solution
Exploring Operation: 97+171=268, Resulting Numbers: [268]
268,97 unequal: No Solution
Exploring Operation: 97*171=16587, Resulting Numbers: [16587]
16587,97 unequal: No Solution
Moving to Node #0,0,3
Current State: 97:[97, 171], Operations: ['27+86=113', '58+113=171']
Exploring Operation: 97+171=268, Resulting Numbers: [268]
268,97 unequal: No Solution
Exploring Operation: 171-97=74, Resulting Numbers: [74]
74,97 unequal: No Solution
Exploring Operation: 97*171=16587, Resulting Numbers: [16587]
16587,97 unequal: No Solution
Moving to Node #0,1,3
Current State: 97:[86, 182], Operations: ['27+97=124', '58+124=182']
Exploring Operation: 182-86=96, Resulting Numbers: [96]
96,97 unequal: No Solution
Exploring Operation: 86+182=268, Resulting Numbers: [268]
268,97 unequal: No Solution
Exploring Operation: 86*182=15652, Resulting Numbers: [15652]
15652,97 unequal: No Solution
Moving to Node #0,2,2
Current State: 97:[97, 1], Operations: ['27+58=85', '86-85=1']
Exploring Operation: 97/1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[27, 58, 97, 86], Operations: []
Exploring Operation: 27+58=85, Resulting Numbers: [97, 86, 85]
Generated Node #0,2: 97:[97, 86, 85] Operation: 27+58=85
Moving to Node #0,2
Current State: 97:[97, 86, 85], Operations: ['27+58=85']
Exploring Operation: 86-85=1, Resulting Numbers: [97, 1]
Generated Node #0,2,2: 97:[97, 1] Operation: 86-85=1
Moving to Node #0,2,2
Current State: 97:[97, 1], Operations: ['27+58=85', '86-85=1']
Exploring Operation: 97/1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 0.947049 | hs_4 | sum_heuristic |
[
65,
5,
90,
30
] | 88 | [
"65-5=60",
"60/30=2",
"90-2=88"
] | Current State: 88:[65, 5, 90, 30], Operations: []
Exploring Operation: 65-5=60, Resulting Numbers: [90, 30, 60]
Generated Node #2: [90, 30, 60] from Operation: 65-5=60
Current State: 88:[90, 30, 60], Operations: ['65-5=60']
Exploring Operation: 60/30=2, Resulting Numbers: [90, 2]
Generated Node #3: [90, 2] from Operation: 60/30=2
Current State: 88:[90, 2], Operations: ['65-5=60', '60/30=2']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[65, 5, 90, 30], Operations: []
Exploring Operation: 65+30=95, Resulting Numbers: [5, 90, 95]
Generated Node #0,0: 88:[5, 90, 95] Operation: 65+30=95
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[5, 90, 95], Operations: ['65+30=95']
Exploring Operation: 95-90=5, Resulting Numbers: [5, 5]
Generated Node #0,0,0: 88:[5, 5] Operation: 95-90=5
Moving to Node #0,0,0
Current State: 88:[5, 5], Operations: ['65+30=95', '95-90=5']
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
88,
70,
99,
21
] | 80 | [
"88+70=158",
"99-21=78",
"158-78=80"
] | Current State: 80:[88, 70, 99, 21], Operations: []
Exploring Operation: 88+70=158, Resulting Numbers: [99, 21, 158]
Generated Node #2: [99, 21, 158] from Operation: 88+70=158
Current State: 80:[99, 21, 158], Operations: ['88+70=158']
Exploring Operation: 99-21=78, Resulting Numbers: [158, 78]
Generated Node #3: [158, 78] from Operation: 99-21=78
Current State: 80:[158, 78], Operations: ['88+70=158', '99-21=78']
Exploring Operation: 158-78=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[88, 70, 99, 21], Operations: []
Exploring Operation: 99-70=29, Resulting Numbers: [88, 21, 29]
Generated Node #0,0: 80:[88, 21, 29] Operation: 99-70=29
Exploring Operation: 99-21=78, Resulting Numbers: [88, 70, 78]
Generated Node #0,1: 80:[88, 70, 78] Operation: 99-21=78
Exploring Operation: 88-70=18, Resulting Numbers: [99, 21, 18]
Generated Node #0,2: 80:[99, 21, 18] Operation: 88-70=18
Exploring Operation: 99-88=11, Resulting Numbers: [70, 21, 11]
Generated Node #0,3: 80:[70, 21, 11] Operation: 99-88=11
Moving to Node #0,3
Current State: 80:[70, 21, 11], Operations: ['99-88=11']
Exploring Operation: 70-21=49, Resulting Numbers: [11, 49]
Generated Node #0,3,0: 80:[11, 49] Operation: 70-21=49
Exploring Operation: 21-11=10, Resulting Numbers: [70, 10]
Generated Node #0,3,1: 80:[70, 10] Operation: 21-11=10
Exploring Operation: 70+11=81, Resulting Numbers: [21, 81]
Generated Node #0,3,2: 80:[21, 81] Operation: 70+11=81
Exploring Operation: 70+21=91, Resulting Numbers: [11, 91]
Generated Node #0,3,3: 80:[11, 91] Operation: 70+21=91
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 80:[21, 81], Operations: ['99-88=11', '70+11=81']
Exploring Operation: 21*81=1701, Resulting Numbers: [1701]
1701,80 unequal: No Solution
Exploring Operation: 21+81=102, Resulting Numbers: [102]
102,80 unequal: No Solution
Exploring Operation: 81-21=60, Resulting Numbers: [60]
60,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 80:[11, 49], Operations: ['99-88=11', '70-21=49']
Exploring Operation: 11*49=539, Resulting Numbers: [539]
539,80 unequal: No Solution
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,80 unequal: No Solution
Exploring Operation: 11+49=60, Resulting Numbers: [60]
60,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 80:[70, 10], Operations: ['99-88=11', '21-11=10']
Exploring Operation: 70+10=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[88, 70, 99, 21], Operations: []
Exploring Operation: 99-88=11, Resulting Numbers: [70, 21, 11]
Generated Node #0,3: 80:[70, 21, 11] Operation: 99-88=11
Moving to Node #0,3
Current State: 80:[70, 21, 11], Operations: ['99-88=11']
Exploring Operation: 21-11=10, Resulting Numbers: [70, 10]
Generated Node #0,3,1: 80:[70, 10] Operation: 21-11=10
Moving to Node #0,3,1
Current State: 80:[70, 10], Operations: ['99-88=11', '21-11=10']
Exploring Operation: 70+10=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | sum_heuristic |
[
44,
12,
76,
25
] | 83 | [
"44-12=32",
"76-25=51",
"32+51=83"
] | Current State: 83:[44, 12, 76, 25], Operations: []
Exploring Operation: 44-12=32, Resulting Numbers: [76, 25, 32]
Generated Node #2: [76, 25, 32] from Operation: 44-12=32
Current State: 83:[76, 25, 32], Operations: ['44-12=32']
Exploring Operation: 76-25=51, Resulting Numbers: [32, 51]
Generated Node #3: [32, 51] from Operation: 76-25=51
Current State: 83:[32, 51], Operations: ['44-12=32', '76-25=51']
Exploring Operation: 32+51=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[44, 12, 76, 25], Operations: []
Exploring Operation: 44+25=69, Resulting Numbers: [12, 76, 69]
Generated Node #0,0: 83:[12, 76, 69] Operation: 44+25=69
Exploring Operation: 44+12=56, Resulting Numbers: [76, 25, 56]
Generated Node #0,1: 83:[76, 25, 56] Operation: 44+12=56
Exploring Operation: 12+25=37, Resulting Numbers: [44, 76, 37]
Generated Node #0,2: 83:[44, 76, 37] Operation: 12+25=37
Exploring Operation: 12+76=88, Resulting Numbers: [44, 25, 88]
Generated Node #0,3: 83:[44, 25, 88] Operation: 12+76=88
Moving to Node #0,0
Current State: 83:[12, 76, 69], Operations: ['44+25=69']
Exploring Operation: 12+76=88, Resulting Numbers: [69, 88]
Generated Node #0,0,0: 83:[69, 88] Operation: 12+76=88
Exploring Operation: 12+69=81, Resulting Numbers: [76, 81]
Generated Node #0,0,1: 83:[76, 81] Operation: 12+69=81
Exploring Operation: 69-12=57, Resulting Numbers: [76, 57]
Generated Node #0,0,2: 83:[76, 57] Operation: 69-12=57
Exploring Operation: 76-12=64, Resulting Numbers: [69, 64]
Generated Node #0,0,3: 83:[69, 64] Operation: 76-12=64
Moving to Node #0,2
Current State: 83:[44, 76, 37], Operations: ['12+25=37']
Exploring Operation: 44-37=7, Resulting Numbers: [76, 7]
Generated Node #0,2,0: 83:[76, 7] Operation: 44-37=7
Exploring Operation: 44+76=120, Resulting Numbers: [37, 120]
Generated Node #0,2,1: 83:[37, 120] Operation: 44+76=120
Exploring Operation: 44+37=81, Resulting Numbers: [76, 81]
Generated Node #0,2,2: 83:[76, 81] Operation: 44+37=81
Exploring Operation: 76+37=113, Resulting Numbers: [44, 113]
Generated Node #0,2,3: 83:[44, 113] Operation: 76+37=113
Moving to Node #0,1
Current State: 83:[76, 25, 56], Operations: ['44+12=56']
Exploring Operation: 76-25=51, Resulting Numbers: [56, 51]
Generated Node #0,1,0: 83:[56, 51] Operation: 76-25=51
Exploring Operation: 25+56=81, Resulting Numbers: [76, 81]
Generated Node #0,1,1: 83:[76, 81] Operation: 25+56=81
Exploring Operation: 76+25=101, Resulting Numbers: [56, 101]
Generated Node #0,1,2: 83:[56, 101] Operation: 76+25=101
Exploring Operation: 56-25=31, Resulting Numbers: [76, 31]
Generated Node #0,1,3: 83:[76, 31] Operation: 56-25=31
Moving to Node #0,3
Current State: 83:[44, 25, 88], Operations: ['12+76=88']
Exploring Operation: 44-25=19, Resulting Numbers: [88, 19]
Generated Node #0,3,0: 83:[88, 19] Operation: 44-25=19
Exploring Operation: 88-25=63, Resulting Numbers: [44, 63]
Generated Node #0,3,1: 83:[44, 63] Operation: 88-25=63
Exploring Operation: 25+88=113, Resulting Numbers: [44, 113]
Generated Node #0,3,2: 83:[44, 113] Operation: 25+88=113
Exploring Operation: 44+25=69, Resulting Numbers: [88, 69]
Generated Node #0,3,3: 83:[88, 69] Operation: 44+25=69
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 83:[88, 69], Operations: ['12+76=88', '44+25=69']
Exploring Operation: 88+69=157, Resulting Numbers: [157]
157,83 unequal: No Solution
Exploring Operation: 88-69=19, Resulting Numbers: [19]
19,83 unequal: No Solution
Exploring Operation: 88*69=6072, Resulting Numbers: [6072]
6072,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 83:[44, 63], Operations: ['12+76=88', '88-25=63']
Exploring Operation: 63-44=19, Resulting Numbers: [19]
19,83 unequal: No Solution
Exploring Operation: 44+63=107, Resulting Numbers: [107]
107,83 unequal: No Solution
Exploring Operation: 44*63=2772, Resulting Numbers: [2772]
2772,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 83:[88, 19], Operations: ['12+76=88', '44-25=19']
Exploring Operation: 88-19=69, Resulting Numbers: [69]
69,83 unequal: No Solution
Exploring Operation: 88*19=1672, Resulting Numbers: [1672]
1672,83 unequal: No Solution
Exploring Operation: 88+19=107, Resulting Numbers: [107]
107,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 83:[44, 113], Operations: ['12+76=88', '25+88=113']
Exploring Operation: 44+113=157, Resulting Numbers: [157]
157,83 unequal: No Solution
Exploring Operation: 44*113=4972, Resulting Numbers: [4972]
4972,83 unequal: No Solution
Exploring Operation: 113-44=69, Resulting Numbers: [69]
69,83 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: 83:[76, 81], Operations: ['44+25=69', '12+69=81']
Exploring Operation: 76+81=157, Resulting Numbers: [157]
157,83 unequal: No Solution
Exploring Operation: 81-76=5, Resulting Numbers: [5]
5,83 unequal: No Solution
Exploring Operation: 76*81=6156, Resulting Numbers: [6156]
6156,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[76, 81], Operations: ['12+25=37', '44+37=81']
Exploring Operation: 76*81=6156, Resulting Numbers: [6156]
6156,83 unequal: No Solution
Exploring Operation: 81-76=5, Resulting Numbers: [5]
5,83 unequal: No Solution
Exploring Operation: 76+81=157, Resulting Numbers: [157]
157,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[76, 81], Operations: ['44+12=56', '25+56=81']
Exploring Operation: 76+81=157, Resulting Numbers: [157]
157,83 unequal: No Solution
Exploring Operation: 76*81=6156, Resulting Numbers: [6156]
6156,83 unequal: No Solution
Exploring Operation: 81-76=5, Resulting Numbers: [5]
5,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[69, 88], Operations: ['44+25=69', '12+76=88']
Exploring Operation: 88-69=19, Resulting Numbers: [19]
19,83 unequal: No Solution
Exploring Operation: 69*88=6072, Resulting Numbers: [6072]
6072,83 unequal: No Solution
Exploring Operation: 69+88=157, Resulting Numbers: [157]
157,83 unequal: No Solution
Moving to Node #0,0,2
Current State: 83:[76, 57], Operations: ['44+25=69', '69-12=57']
Exploring Operation: 76-57=19, Resulting Numbers: [19]
19,83 unequal: No Solution
Exploring Operation: 76*57=4332, Resulting Numbers: [4332]
4332,83 unequal: No Solution
Exploring Operation: 76+57=133, Resulting Numbers: [133]
133,83 unequal: No Solution
Moving to Node #0,0,3
Current State: 83:[69, 64], Operations: ['44+25=69', '76-12=64']
Exploring Operation: 69+64=133, Resulting Numbers: [133]
133,83 unequal: No Solution
Exploring Operation: 69*64=4416, Resulting Numbers: [4416]
4416,83 unequal: No Solution
Exploring Operation: 69-64=5, Resulting Numbers: [5]
5,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[56, 101], Operations: ['44+12=56', '76+25=101']
Exploring Operation: 101-56=45, Resulting Numbers: [45]
45,83 unequal: No Solution
Exploring Operation: 56*101=5656, Resulting Numbers: [5656]
5656,83 unequal: No Solution
Exploring Operation: 56+101=157, Resulting Numbers: [157]
157,83 unequal: No Solution
Moving to Node #0,1,3
Current State: 83:[76, 31], Operations: ['44+12=56', '56-25=31']
Exploring Operation: 76+31=107, Resulting Numbers: [107]
107,83 unequal: No Solution
Exploring Operation: 76*31=2356, Resulting Numbers: [2356]
2356,83 unequal: No Solution
Exploring Operation: 76-31=45, Resulting Numbers: [45]
45,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[56, 51], Operations: ['44+12=56', '76-25=51']
Exploring Operation: 56-51=5, Resulting Numbers: [5]
5,83 unequal: No Solution
Exploring Operation: 56*51=2856, Resulting Numbers: [2856]
2856,83 unequal: No Solution
Exploring Operation: 56+51=107, Resulting Numbers: [107]
107,83 unequal: No Solution
Moving to Node #0,2,3
Current State: 83:[44, 113], Operations: ['12+25=37', '76+37=113']
Exploring Operation: 44*113=4972, Resulting Numbers: [4972]
4972,83 unequal: No Solution
Exploring Operation: 113-44=69, Resulting Numbers: [69]
69,83 unequal: No Solution
Exploring Operation: 44+113=157, Resulting Numbers: [157]
157,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[76, 7], Operations: ['12+25=37', '44-37=7']
Exploring Operation: 76*7=532, Resulting Numbers: [532]
532,83 unequal: No Solution
Exploring Operation: 76-7=69, Resulting Numbers: [69]
69,83 unequal: No Solution
Exploring Operation: 76+7=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[44, 12, 76, 25], Operations: []
Exploring Operation: 12+25=37, Resulting Numbers: [44, 76, 37]
Generated Node #0,2: 83:[44, 76, 37] Operation: 12+25=37
Moving to Node #0,2
Current State: 83:[44, 76, 37], Operations: ['12+25=37']
Exploring Operation: 44-37=7, Resulting Numbers: [76, 7]
Generated Node #0,2,0: 83:[76, 7] Operation: 44-37=7
Moving to Node #0,2,0
Current State: 83:[76, 7], Operations: ['12+25=37', '44-37=7']
Exploring Operation: 76+7=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 0.940104 | hs_4 | mult_heuristic |
[
83,
87,
20,
85
] | 43 | [
"87-85=2",
"20*2=40",
"83-40=43"
] | Current State: 43:[83, 87, 20, 85], Operations: []
Exploring Operation: 87-85=2, Resulting Numbers: [83, 20, 2]
Generated Node #2: [83, 20, 2] from Operation: 87-85=2
Current State: 43:[83, 20, 2], Operations: ['87-85=2']
Exploring Operation: 20*2=40, Resulting Numbers: [83, 40]
Generated Node #3: [83, 40] from Operation: 20*2=40
Current State: 43:[83, 40], Operations: ['87-85=2', '20*2=40']
Exploring Operation: 83-40=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[83, 87, 20, 85], Operations: []
Exploring Operation: 87-20=67, Resulting Numbers: [83, 85, 67]
Generated Node #0,0: 43:[83, 85, 67] Operation: 87-20=67
Exploring Operation: 83-20=63, Resulting Numbers: [87, 85, 63]
Generated Node #0,1: 43:[87, 85, 63] Operation: 83-20=63
Exploring Operation: 87-85=2, Resulting Numbers: [83, 20, 2]
Generated Node #0,2: 43:[83, 20, 2] Operation: 87-85=2
Exploring Operation: 87-83=4, Resulting Numbers: [20, 85, 4]
Generated Node #0,3: 43:[20, 85, 4] Operation: 87-83=4
Start Sub Search at level 1: Moving to Node #0,2
Current State: 43:[83, 20, 2], Operations: ['87-85=2']
Exploring Operation: 20*2=40, Resulting Numbers: [83, 40]
Generated Node #0,2,0: 43:[83, 40] Operation: 20*2=40
Exploring Operation: 83-20=63, Resulting Numbers: [2, 63]
Generated Node #0,2,1: 43:[2, 63] Operation: 83-20=63
Exploring Operation: 20+2=22, Resulting Numbers: [83, 22]
Generated Node #0,2,2: 43:[83, 22] Operation: 20+2=22
Exploring Operation: 83-2=81, Resulting Numbers: [20, 81]
Generated Node #0,2,3: 43:[20, 81] Operation: 83-2=81
Moving to Node #0,2,0
Current State: 43:[83, 40], Operations: ['87-85=2', '20*2=40']
Exploring Operation: 83*40=3320, Resulting Numbers: [3320]
3320,43 unequal: No Solution
Exploring Operation: 83-40=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[83, 87, 20, 85], Operations: []
Exploring Operation: 87-85=2, Resulting Numbers: [83, 20, 2]
Generated Node #0,2: 43:[83, 20, 2] Operation: 87-85=2
Moving to Node #0,2
Current State: 43:[83, 20, 2], Operations: ['87-85=2']
Exploring Operation: 20*2=40, Resulting Numbers: [83, 40]
Generated Node #0,2,0: 43:[83, 40] Operation: 20*2=40
Moving to Node #0,2,0
Current State: 43:[83, 40], Operations: ['87-85=2', '20*2=40']
Exploring Operation: 83-40=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
49,
34,
22,
80
] | 87 | [
"49-34=15",
"22+80=102",
"102-15=87"
] | Current State: 87:[49, 34, 22, 80], Operations: []
Exploring Operation: 49-34=15, Resulting Numbers: [22, 80, 15]
Generated Node #2: [22, 80, 15] from Operation: 49-34=15
Current State: 87:[22, 80, 15], Operations: ['49-34=15']
Exploring Operation: 22+80=102, Resulting Numbers: [15, 102]
Generated Node #3: [15, 102] from Operation: 22+80=102
Current State: 87:[15, 102], Operations: ['49-34=15', '22+80=102']
Exploring Operation: 102-15=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[49, 34, 22, 80], Operations: []
Exploring Operation: 49-22=27, Resulting Numbers: [34, 80, 27]
Generated Node #0,0: 87:[34, 80, 27] Operation: 49-22=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[34, 80, 27], Operations: ['49-22=27']
Exploring Operation: 34-27=7, Resulting Numbers: [80, 7]
Generated Node #0,0,0: 87:[80, 7] Operation: 34-27=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 87:[80, 7], Operations: ['49-22=27', '34-27=7']
Exploring Operation: 80+7=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[49, 34, 22, 80], Operations: []
Exploring Operation: 49-22=27, Resulting Numbers: [34, 80, 27]
Generated Node #0,0: 87:[34, 80, 27] Operation: 49-22=27
Moving to Node #0,0
Current State: 87:[34, 80, 27], Operations: ['49-22=27']
Exploring Operation: 34-27=7, Resulting Numbers: [80, 7]
Generated Node #0,0,0: 87:[80, 7] Operation: 34-27=7
Moving to Node #0,0,0
Current State: 87:[80, 7], Operations: ['49-22=27', '34-27=7']
Exploring Operation: 80+7=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
85,
89,
82,
32
] | 54 | [
"89-85=4",
"82-32=50",
"4+50=54"
] | Current State: 54:[85, 89, 82, 32], Operations: []
Exploring Operation: 89-85=4, Resulting Numbers: [82, 32, 4]
Generated Node #2: [82, 32, 4] from Operation: 89-85=4
Current State: 54:[82, 32, 4], Operations: ['89-85=4']
Exploring Operation: 82-32=50, Resulting Numbers: [4, 50]
Generated Node #3: [4, 50] from Operation: 82-32=50
Current State: 54:[4, 50], Operations: ['89-85=4', '82-32=50']
Exploring Operation: 4+50=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[85, 89, 82, 32], Operations: []
Exploring Operation: 89-85=4, Resulting Numbers: [82, 32, 4]
Generated Node #0,0: 54:[82, 32, 4] Operation: 89-85=4
Exploring Operation: 89-82=7, Resulting Numbers: [85, 32, 7]
Generated Node #0,1: 54:[85, 32, 7] Operation: 89-82=7
Moving to Node #0,0
Current State: 54:[82, 32, 4], Operations: ['89-85=4']
Exploring Operation: 82-32=50, Resulting Numbers: [4, 50]
Generated Node #0,0,0: 54:[4, 50] Operation: 82-32=50
Exploring Operation: 82-4=78, Resulting Numbers: [32, 78]
Generated Node #0,0,1: 54:[32, 78] Operation: 82-4=78
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 54:[4, 50], Operations: ['89-85=4', '82-32=50']
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,54 unequal: No Solution
Exploring Operation: 4+50=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[85, 89, 82, 32], Operations: []
Exploring Operation: 89-85=4, Resulting Numbers: [82, 32, 4]
Generated Node #0,0: 54:[82, 32, 4] Operation: 89-85=4
Moving to Node #0,0
Current State: 54:[82, 32, 4], Operations: ['89-85=4']
Exploring Operation: 82-32=50, Resulting Numbers: [4, 50]
Generated Node #0,0,0: 54:[4, 50] Operation: 82-32=50
Moving to Node #0,0,0
Current State: 54:[4, 50], Operations: ['89-85=4', '82-32=50']
Exploring Operation: 4+50=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
39,
64,
30,
21
] | 62 | [
"39+21=60",
"60/30=2",
"64-2=62"
] | Current State: 62:[39, 64, 30, 21], Operations: []
Exploring Operation: 39+21=60, Resulting Numbers: [64, 30, 60]
Generated Node #2: [64, 30, 60] from Operation: 39+21=60
Current State: 62:[64, 30, 60], Operations: ['39+21=60']
Exploring Operation: 60/30=2, Resulting Numbers: [64, 2]
Generated Node #3: [64, 2] from Operation: 60/30=2
Current State: 62:[64, 2], Operations: ['39+21=60', '60/30=2']
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[39, 64, 30, 21], Operations: []
Exploring Operation: 39+21=60, Resulting Numbers: [64, 30, 60]
Generated Node #0,0: 62:[64, 30, 60] Operation: 39+21=60
Exploring Operation: 39-21=18, Resulting Numbers: [64, 30, 18]
Generated Node #0,1: 62:[64, 30, 18] Operation: 39-21=18
Exploring Operation: 30-21=9, Resulting Numbers: [39, 64, 9]
Generated Node #0,2: 62:[39, 64, 9] Operation: 30-21=9
Exploring Operation: 39+30=69, Resulting Numbers: [64, 21, 69]
Generated Node #0,3: 62:[64, 21, 69] Operation: 39+30=69
Exploring Operation: 64-39=25, Resulting Numbers: [30, 21, 25]
Generated Node #0,4: 62:[30, 21, 25] Operation: 64-39=25
Moving to Node #0,0
Current State: 62:[64, 30, 60], Operations: ['39+21=60']
Exploring Operation: 60-30=30, Resulting Numbers: [64, 30]
Generated Node #0,0,0: 62:[64, 30] Operation: 60-30=30
Exploring Operation: 64-30=34, Resulting Numbers: [60, 34]
Generated Node #0,0,1: 62:[60, 34] Operation: 64-30=34
Exploring Operation: 30+60=90, Resulting Numbers: [64, 90]
Generated Node #0,0,2: 62:[64, 90] Operation: 30+60=90
Exploring Operation: 64-60=4, Resulting Numbers: [30, 4]
Generated Node #0,0,3: 62:[30, 4] Operation: 64-60=4
Exploring Operation: 60/30=2, Resulting Numbers: [64, 2]
Generated Node #0,0,4: 62:[64, 2] Operation: 60/30=2
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 62:[64, 2], Operations: ['39+21=60', '60/30=2']
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[39, 64, 30, 21], Operations: []
Exploring Operation: 39+21=60, Resulting Numbers: [64, 30, 60]
Generated Node #0,0: 62:[64, 30, 60] Operation: 39+21=60
Moving to Node #0,0
Current State: 62:[64, 30, 60], Operations: ['39+21=60']
Exploring Operation: 60/30=2, Resulting Numbers: [64, 2]
Generated Node #0,0,4: 62:[64, 2] Operation: 60/30=2
Moving to Node #0,0,4
Current State: 62:[64, 2], Operations: ['39+21=60', '60/30=2']
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
1,
52,
62,
13
] | 67 | [
"1+62=63",
"52/13=4",
"63+4=67"
] | Current State: 67:[1, 52, 62, 13], Operations: []
Exploring Operation: 1+62=63, Resulting Numbers: [52, 13, 63]
Generated Node #2: [52, 13, 63] from Operation: 1+62=63
Current State: 67:[52, 13, 63], Operations: ['1+62=63']
Exploring Operation: 52/13=4, Resulting Numbers: [63, 4]
Generated Node #3: [63, 4] from Operation: 52/13=4
Current State: 67:[63, 4], Operations: ['1+62=63', '52/13=4']
Exploring Operation: 63+4=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[1, 52, 62, 13], Operations: []
Exploring Operation: 1+62=63, Resulting Numbers: [52, 13, 63]
Generated Node #0,0: 67:[52, 13, 63] Operation: 1+62=63
Exploring Operation: 52+13=65, Resulting Numbers: [1, 62, 65]
Generated Node #0,1: 67:[1, 62, 65] Operation: 52+13=65
Exploring Operation: 1+52=53, Resulting Numbers: [62, 13, 53]
Generated Node #0,2: 67:[62, 13, 53] Operation: 1+52=53
Exploring Operation: 1+13=14, Resulting Numbers: [52, 62, 14]
Generated Node #0,3: 67:[52, 62, 14] Operation: 1+13=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[52, 13, 63], Operations: ['1+62=63']
Exploring Operation: 52+13=65, Resulting Numbers: [63, 65]
Generated Node #0,0,0: 67:[63, 65] Operation: 52+13=65
Exploring Operation: 13+63=76, Resulting Numbers: [52, 76]
Generated Node #0,0,1: 67:[52, 76] Operation: 13+63=76
Exploring Operation: 63-13=50, Resulting Numbers: [52, 50]
Generated Node #0,0,2: 67:[52, 50] Operation: 63-13=50
Exploring Operation: 52-13=39, Resulting Numbers: [63, 39]
Generated Node #0,0,3: 67:[63, 39] Operation: 52-13=39
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 67:[63, 65], Operations: ['1+62=63', '52+13=65']
Exploring Operation: 63*65=4095, Resulting Numbers: [4095]
4095,67 unequal: No Solution
Exploring Operation: 65-63=2, Resulting Numbers: [2]
2,67 unequal: No Solution
Exploring Operation: 63+65=128, Resulting Numbers: [128]
128,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 67:[52, 76], Operations: ['1+62=63', '13+63=76']
Exploring Operation: 76-52=24, Resulting Numbers: [24]
24,67 unequal: No Solution
Exploring Operation: 52+76=128, Resulting Numbers: [128]
128,67 unequal: No Solution
Exploring Operation: 52*76=3952, Resulting Numbers: [3952]
3952,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 67:[52, 50], Operations: ['1+62=63', '63-13=50']
Exploring Operation: 52+50=102, Resulting Numbers: [102]
102,67 unequal: No Solution
Exploring Operation: 52*50=2600, Resulting Numbers: [2600]
2600,67 unequal: No Solution
Exploring Operation: 52-50=2, Resulting Numbers: [2]
2,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 67:[63, 39], Operations: ['1+62=63', '52-13=39']
Exploring Operation: 63+39=102, Resulting Numbers: [102]
102,67 unequal: No Solution
Exploring Operation: 63*39=2457, Resulting Numbers: [2457]
2457,67 unequal: No Solution
Exploring Operation: 63-39=24, Resulting Numbers: [24]
24,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[1, 62, 65], Operations: ['52+13=65']
Exploring Operation: 1*62=62, Resulting Numbers: [65, 62]
Generated Node #0,1,0: 67:[65, 62] Operation: 1*62=62
Exploring Operation: 1+62=63, Resulting Numbers: [65, 63]
Generated Node #0,1,1: 67:[65, 63] Operation: 1+62=63
Exploring Operation: 62/1=62, Resulting Numbers: [65, 62]
Generated Node #0,1,2: 67:[65, 62] Operation: 62/1=62
Exploring Operation: 1+65=66, Resulting Numbers: [62, 66]
Generated Node #0,1,3: 67:[62, 66] Operation: 1+65=66
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 67:[65, 63], Operations: ['52+13=65', '1+62=63']
Exploring Operation: 65-63=2, Resulting Numbers: [2]
2,67 unequal: No Solution
Exploring Operation: 65*63=4095, Resulting Numbers: [4095]
4095,67 unequal: No Solution
Exploring Operation: 65+63=128, Resulting Numbers: [128]
128,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 67:[62, 66], Operations: ['52+13=65', '1+65=66']
Exploring Operation: 62*66=4092, Resulting Numbers: [4092]
4092,67 unequal: No Solution
Exploring Operation: 66-62=4, Resulting Numbers: [4]
4,67 unequal: No Solution
Exploring Operation: 62+66=128, Resulting Numbers: [128]
128,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 67:[65, 62], Operations: ['52+13=65', '1*62=62']
Exploring Operation: 65+62=127, Resulting Numbers: [127]
127,67 unequal: No Solution
Exploring Operation: 65-62=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 65*62=4030, Resulting Numbers: [4030]
4030,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 67:[65, 62], Operations: ['52+13=65', '62/1=62']
Exploring Operation: 65-62=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 65+62=127, Resulting Numbers: [127]
127,67 unequal: No Solution
Exploring Operation: 65*62=4030, Resulting Numbers: [4030]
4030,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 67:[62, 13, 53], Operations: ['1+52=53']
Exploring Operation: 13+53=66, Resulting Numbers: [62, 66]
Generated Node #0,2,0: 67:[62, 66] Operation: 13+53=66
Exploring Operation: 53-13=40, Resulting Numbers: [62, 40]
Generated Node #0,2,1: 67:[62, 40] Operation: 53-13=40
Exploring Operation: 62-13=49, Resulting Numbers: [53, 49]
Generated Node #0,2,2: 67:[53, 49] Operation: 62-13=49
Exploring Operation: 62+13=75, Resulting Numbers: [53, 75]
Generated Node #0,2,3: 67:[53, 75] Operation: 62+13=75
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 67:[62, 66], Operations: ['1+52=53', '13+53=66']
Exploring Operation: 62*66=4092, Resulting Numbers: [4092]
4092,67 unequal: No Solution
Exploring Operation: 62+66=128, Resulting Numbers: [128]
128,67 unequal: No Solution
Exploring Operation: 66-62=4, Resulting Numbers: [4]
4,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 67:[53, 75], Operations: ['1+52=53', '62+13=75']
Exploring Operation: 53+75=128, Resulting Numbers: [128]
128,67 unequal: No Solution
Exploring Operation: 75-53=22, Resulting Numbers: [22]
22,67 unequal: No Solution
Exploring Operation: 53*75=3975, Resulting Numbers: [3975]
3975,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 67:[62, 40], Operations: ['1+52=53', '53-13=40']
Exploring Operation: 62*40=2480, Resulting Numbers: [2480]
2480,67 unequal: No Solution
Exploring Operation: 62-40=22, Resulting Numbers: [22]
22,67 unequal: No Solution
Exploring Operation: 62+40=102, Resulting Numbers: [102]
102,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 67:[53, 49], Operations: ['1+52=53', '62-13=49']
Exploring Operation: 53+49=102, Resulting Numbers: [102]
102,67 unequal: No Solution
Exploring Operation: 53-49=4, Resulting Numbers: [4]
4,67 unequal: No Solution
Exploring Operation: 53*49=2597, Resulting Numbers: [2597]
2597,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 67:[52, 62, 14], Operations: ['1+13=14']
Exploring Operation: 62-14=48, Resulting Numbers: [52, 48]
Generated Node #0,3,0: 67:[52, 48] Operation: 62-14=48
Exploring Operation: 52-14=38, Resulting Numbers: [62, 38]
Generated Node #0,3,1: 67:[62, 38] Operation: 52-14=38
Exploring Operation: 52+14=66, Resulting Numbers: [62, 66]
Generated Node #0,3,2: 67:[62, 66] Operation: 52+14=66
Exploring Operation: 62+14=76, Resulting Numbers: [52, 76]
Generated Node #0,3,3: 67:[52, 76] Operation: 62+14=76
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 67:[62, 66], Operations: ['1+13=14', '52+14=66']
Exploring Operation: 62+66=128, Resulting Numbers: [128]
128,67 unequal: No Solution
Exploring Operation: 62*66=4092, Resulting Numbers: [4092]
4092,67 unequal: No Solution
Exploring Operation: 66-62=4, Resulting Numbers: [4]
4,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 67:[52, 76], Operations: ['1+13=14', '62+14=76']
Exploring Operation: 52+76=128, Resulting Numbers: [128]
128,67 unequal: No Solution
Exploring Operation: 76-52=24, Resulting Numbers: [24]
24,67 unequal: No Solution
Exploring Operation: 52*76=3952, Resulting Numbers: [3952]
3952,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 67:[52, 48], Operations: ['1+13=14', '62-14=48']
Exploring Operation: 52*48=2496, Resulting Numbers: [2496]
2496,67 unequal: No Solution
Exploring Operation: 52+48=100, Resulting Numbers: [100]
100,67 unequal: No Solution
Exploring Operation: 52-48=4, Resulting Numbers: [4]
4,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 67:[62, 38], Operations: ['1+13=14', '52-14=38']
Exploring Operation: 62*38=2356, Resulting Numbers: [2356]
2356,67 unequal: No Solution
Exploring Operation: 62-38=24, Resulting Numbers: [24]
24,67 unequal: No Solution
Exploring Operation: 62+38=100, Resulting Numbers: [100]
100,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
51,
3,
6,
47
] | 96 | [
"51-6=45",
"3*47=141",
"141-45=96"
] | Current State: 96:[51, 3, 6, 47], Operations: []
Exploring Operation: 51-6=45, Resulting Numbers: [3, 47, 45]
Generated Node #2: [3, 47, 45] from Operation: 51-6=45
Current State: 96:[3, 47, 45], Operations: ['51-6=45']
Exploring Operation: 3*47=141, Resulting Numbers: [45, 141]
Generated Node #3: [45, 141] from Operation: 3*47=141
Current State: 96:[45, 141], Operations: ['51-6=45', '3*47=141']
Exploring Operation: 141-45=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[51, 3, 6, 47], Operations: []
Exploring Operation: 51/3=17, Resulting Numbers: [6, 47, 17]
Generated Node #0,0: 96:[6, 47, 17] Operation: 51/3=17
Exploring Operation: 51+47=98, Resulting Numbers: [3, 6, 98]
Generated Node #0,1: 96:[3, 6, 98] Operation: 51+47=98
Exploring Operation: 51-3=48, Resulting Numbers: [6, 47, 48]
Generated Node #0,2: 96:[6, 47, 48] Operation: 51-3=48
Exploring Operation: 51-6=45, Resulting Numbers: [3, 47, 45]
Generated Node #0,3: 96:[3, 47, 45] Operation: 51-6=45
Exploring Operation: 51-47=4, Resulting Numbers: [3, 6, 4]
Generated Node #0,4: 96:[3, 6, 4] Operation: 51-47=4
Start Sub Search at level 1: Moving to Node #0,4
Current State: 96:[3, 6, 4], Operations: ['51-47=4']
Exploring Operation: 6-4=2, Resulting Numbers: [3, 2]
Generated Node #0,4,0: 96:[3, 2] Operation: 6-4=2
Exploring Operation: 6/3=2, Resulting Numbers: [4, 2]
Generated Node #0,4,1: 96:[4, 2] Operation: 6/3=2
Exploring Operation: 6*4=24, Resulting Numbers: [3, 24]
Generated Node #0,4,2: 96:[3, 24] Operation: 6*4=24
Exploring Operation: 3*4=12, Resulting Numbers: [6, 12]
Generated Node #0,4,3: 96:[6, 12] Operation: 3*4=12
Exploring Operation: 6-3=3, Resulting Numbers: [4, 3]
Generated Node #0,4,4: 96:[4, 3] Operation: 6-3=3
Moving to Node #0,4,0
Current State: 96:[3, 2], Operations: ['51-47=4', '6-4=2']
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,96 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,96 unequal: No Solution
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,96 unequal: No Solution
Moving to Node #0,4,2
Current State: 96:[3, 24], Operations: ['51-47=4', '6*4=24']
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,96 unequal: No Solution
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,96 unequal: No Solution
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,96 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,96 unequal: No Solution
Moving to Node #0,4,4
Current State: 96:[4, 3], Operations: ['51-47=4', '6-3=3']
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,96 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,96 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,96 unequal: No Solution
Moving to Node #0,4,1
Current State: 96:[4, 2], Operations: ['51-47=4', '6/3=2']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,96 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,96 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,96 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,96 unequal: No Solution
Moving to Node #0,4,3
Current State: 96:[6, 12], Operations: ['51-47=4', '3*4=12']
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,96 unequal: No Solution
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,96 unequal: No Solution
Exploring Operation: 6+12=18, Resulting Numbers: [18]
18,96 unequal: No Solution
Exploring Operation: 6*12=72, Resulting Numbers: [72]
72,96 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 #0,2
Current State: 96:[6, 47, 48], Operations: ['51-3=48']
Exploring Operation: 47+48=95, Resulting Numbers: [6, 95]
Generated Node #0,2,0: 96:[6, 95] Operation: 47+48=95
Exploring Operation: 6+47=53, Resulting Numbers: [48, 53]
Generated Node #0,2,1: 96:[48, 53] Operation: 6+47=53
Exploring Operation: 48-47=1, Resulting Numbers: [6, 1]
Generated Node #0,2,2: 96:[6, 1] Operation: 48-47=1
Exploring Operation: 47-6=41, Resulting Numbers: [48, 41]
Generated Node #0,2,3: 96:[48, 41] Operation: 47-6=41
Exploring Operation: 48/6=8, Resulting Numbers: [47, 8]
Generated Node #0,2,4: 96:[47, 8] Operation: 48/6=8
Moving to Node #0,2,0
Current State: 96:[6, 95], Operations: ['51-3=48', '47+48=95']
Exploring Operation: 95-6=89, Resulting Numbers: [89]
89,96 unequal: No Solution
Exploring Operation: 6*95=570, Resulting Numbers: [570]
570,96 unequal: No Solution
Exploring Operation: 6+95=101, Resulting Numbers: [101]
101,96 unequal: No Solution
Moving to Node #0,2,4
Current State: 96:[47, 8], Operations: ['51-3=48', '48/6=8']
Exploring Operation: 47-8=39, Resulting Numbers: [39]
39,96 unequal: No Solution
Exploring Operation: 47+8=55, Resulting Numbers: [55]
55,96 unequal: No Solution
Exploring Operation: 47*8=376, Resulting Numbers: [376]
376,96 unequal: No Solution
Moving to Node #0,2,2
Current State: 96:[6, 1], Operations: ['51-3=48', '48-47=1']
Exploring Operation: 6/1=6, Resulting Numbers: [6]
6,96 unequal: No Solution
Exploring Operation: 6-1=5, Resulting Numbers: [5]
5,96 unequal: No Solution
Exploring Operation: 6*1=6, Resulting Numbers: [6]
6,96 unequal: No Solution
Exploring Operation: 6+1=7, Resulting Numbers: [7]
7,96 unequal: No Solution
Moving to Node #0,2,1
Current State: 96:[48, 53], Operations: ['51-3=48', '6+47=53']
Exploring Operation: 53-48=5, Resulting Numbers: [5]
5,96 unequal: No Solution
Exploring Operation: 48+53=101, Resulting Numbers: [101]
101,96 unequal: No Solution
Exploring Operation: 48*53=2544, Resulting Numbers: [2544]
2544,96 unequal: No Solution
Moving to Node #0,2,3
Current State: 96:[48, 41], Operations: ['51-3=48', '47-6=41']
Exploring Operation: 48-41=7, Resulting Numbers: [7]
7,96 unequal: No Solution
Exploring Operation: 48+41=89, Resulting Numbers: [89]
89,96 unequal: No Solution
Exploring Operation: 48*41=1968, Resulting Numbers: [1968]
1968,96 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
Current State: 96:[6, 47, 17], Operations: ['51/3=17']
Exploring Operation: 6*17=102, Resulting Numbers: [47, 102]
Generated Node #0,0,0: 96:[47, 102] Operation: 6*17=102
Exploring Operation: 6+17=23, Resulting Numbers: [47, 23]
Generated Node #0,0,1: 96:[47, 23] Operation: 6+17=23
Exploring Operation: 47-17=30, Resulting Numbers: [6, 30]
Generated Node #0,0,2: 96:[6, 30] Operation: 47-17=30
Exploring Operation: 6+47=53, Resulting Numbers: [17, 53]
Generated Node #0,0,3: 96:[17, 53] Operation: 6+47=53
Exploring Operation: 17-6=11, Resulting Numbers: [47, 11]
Generated Node #0,0,4: 96:[47, 11] Operation: 17-6=11
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 96:[47, 23], Operations: ['51/3=17', '6+17=23']
Exploring Operation: 47*23=1081, Resulting Numbers: [1081]
1081,96 unequal: No Solution
Exploring Operation: 47-23=24, Resulting Numbers: [24]
24,96 unequal: No Solution
Exploring Operation: 47+23=70, Resulting Numbers: [70]
70,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 96:[6, 30], Operations: ['51/3=17', '47-17=30']
Exploring Operation: 6+30=36, Resulting Numbers: [36]
36,96 unequal: No Solution
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,96 unequal: No Solution
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,96 unequal: No Solution
Exploring Operation: 6*30=180, Resulting Numbers: [180]
180,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 96:[47, 11], Operations: ['51/3=17', '17-6=11']
Exploring Operation: 47*11=517, Resulting Numbers: [517]
517,96 unequal: No Solution
Exploring Operation: 47+11=58, Resulting Numbers: [58]
58,96 unequal: No Solution
Exploring Operation: 47-11=36, Resulting Numbers: [36]
36,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 96:[17, 53], Operations: ['51/3=17', '6+47=53']
Exploring Operation: 17*53=901, Resulting Numbers: [901]
901,96 unequal: No Solution
Exploring Operation: 17+53=70, Resulting Numbers: [70]
70,96 unequal: No Solution
Exploring Operation: 53-17=36, Resulting Numbers: [36]
36,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 96:[47, 102], Operations: ['51/3=17', '6*17=102']
Exploring Operation: 47*102=4794, Resulting Numbers: [4794]
4794,96 unequal: No Solution
Exploring Operation: 47+102=149, Resulting Numbers: [149]
149,96 unequal: No Solution
Exploring Operation: 102-47=55, Resulting Numbers: [55]
55,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[3, 6, 98], Operations: ['51+47=98']
Exploring Operation: 3*6=18, Resulting Numbers: [98, 18]
Generated Node #0,1,0: 96:[98, 18] Operation: 3*6=18
Exploring Operation: 98-3=95, Resulting Numbers: [6, 95]
Generated Node #0,1,1: 96:[6, 95] Operation: 98-3=95
Exploring Operation: 6-3=3, Resulting Numbers: [98, 3]
Generated Node #0,1,2: 96:[98, 3] Operation: 6-3=3
Exploring Operation: 3+6=9, Resulting Numbers: [98, 9]
Generated Node #0,1,3: 96:[98, 9] Operation: 3+6=9
Exploring Operation: 6/3=2, Resulting Numbers: [98, 2]
Generated Node #0,1,4: 96:[98, 2] Operation: 6/3=2
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 96:[6, 95], Operations: ['51+47=98', '98-3=95']
Exploring Operation: 6+95=101, Resulting Numbers: [101]
101,96 unequal: No Solution
Exploring Operation: 95-6=89, Resulting Numbers: [89]
89,96 unequal: No Solution
Exploring Operation: 6*95=570, Resulting Numbers: [570]
570,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 96:[98, 3], Operations: ['51+47=98', '6-3=3']
Exploring Operation: 98-3=95, Resulting Numbers: [95]
95,96 unequal: No Solution
Exploring Operation: 98+3=101, Resulting Numbers: [101]
101,96 unequal: No Solution
Exploring Operation: 98*3=294, Resulting Numbers: [294]
294,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 96:[98, 2], Operations: ['51+47=98', '6/3=2']
Exploring Operation: 98*2=196, Resulting Numbers: [196]
196,96 unequal: No Solution
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,96 unequal: No Solution
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[51, 3, 6, 47], Operations: []
Exploring Operation: 51+47=98, Resulting Numbers: [3, 6, 98]
Generated Node #0,1: 96:[3, 6, 98] Operation: 51+47=98
Moving to Node #0,1
Current State: 96:[3, 6, 98], Operations: ['51+47=98']
Exploring Operation: 6/3=2, Resulting Numbers: [98, 2]
Generated Node #0,1,4: 96:[98, 2] Operation: 6/3=2
Moving to Node #0,1,4
Current State: 96:[98, 2], Operations: ['51+47=98', '6/3=2']
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.923611 | hs_5 | mult_heuristic |
[
67,
92,
90,
95
] | 97 | [
"95-92=3",
"90/3=30",
"67+30=97"
] | Current State: 97:[67, 92, 90, 95], Operations: []
Exploring Operation: 95-92=3, Resulting Numbers: [67, 90, 3]
Generated Node #2: [67, 90, 3] from Operation: 95-92=3
Current State: 97:[67, 90, 3], Operations: ['95-92=3']
Exploring Operation: 90/3=30, Resulting Numbers: [67, 30]
Generated Node #3: [67, 30] from Operation: 90/3=30
Current State: 97:[67, 30], Operations: ['95-92=3', '90/3=30']
Exploring Operation: 67+30=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[67, 92, 90, 95], Operations: []
Exploring Operation: 67+92=159, Resulting Numbers: [90, 95, 159]
Generated Node #0,0: 97:[90, 95, 159] Operation: 67+92=159
Exploring Operation: 67+95=162, Resulting Numbers: [92, 90, 162]
Generated Node #0,1: 97:[92, 90, 162] Operation: 67+95=162
Exploring Operation: 67+90=157, Resulting Numbers: [92, 95, 157]
Generated Node #0,2: 97:[92, 95, 157] Operation: 67+90=157
Exploring Operation: 92-67=25, Resulting Numbers: [90, 95, 25]
Generated Node #0,3: 97:[90, 95, 25] Operation: 92-67=25
Start Sub Search at level 1: Moving to Node #0,2
Current State: 97:[92, 95, 157], Operations: ['67+90=157']
Exploring Operation: 157-95=62, Resulting Numbers: [92, 62]
Generated Node #0,2,0: 97:[92, 62] Operation: 157-95=62
Exploring Operation: 95-92=3, Resulting Numbers: [157, 3]
Generated Node #0,2,1: 97:[157, 3] Operation: 95-92=3
Exploring Operation: 157-92=65, Resulting Numbers: [95, 65]
Generated Node #0,2,2: 97:[95, 65] Operation: 157-92=65
Exploring Operation: 92+95=187, Resulting Numbers: [157, 187]
Generated Node #0,2,3: 97:[157, 187] Operation: 92+95=187
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 97:[95, 65], Operations: ['67+90=157', '157-92=65']
Exploring Operation: 95*65=6175, Resulting Numbers: [6175]
6175,97 unequal: No Solution
Exploring Operation: 95-65=30, Resulting Numbers: [30]
30,97 unequal: No Solution
Exploring Operation: 95+65=160, Resulting Numbers: [160]
160,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 97:[92, 62], Operations: ['67+90=157', '157-95=62']
Exploring Operation: 92+62=154, Resulting Numbers: [154]
154,97 unequal: No Solution
Exploring Operation: 92*62=5704, Resulting Numbers: [5704]
5704,97 unequal: No Solution
Exploring Operation: 92-62=30, Resulting Numbers: [30]
30,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 97:[157, 187], Operations: ['67+90=157', '92+95=187']
Exploring Operation: 157*187=29359, Resulting Numbers: [29359]
29359,97 unequal: No Solution
Exploring Operation: 157+187=344, Resulting Numbers: [344]
344,97 unequal: No Solution
Exploring Operation: 187-157=30, Resulting Numbers: [30]
30,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 97:[157, 3], Operations: ['67+90=157', '95-92=3']
Exploring Operation: 157+3=160, Resulting Numbers: [160]
160,97 unequal: No Solution
Exploring Operation: 157*3=471, Resulting Numbers: [471]
471,97 unequal: No Solution
Exploring Operation: 157-3=154, Resulting Numbers: [154]
154,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[90, 95, 159], Operations: ['67+92=159']
Exploring Operation: 159-90=69, Resulting Numbers: [95, 69]
Generated Node #0,0,0: 97:[95, 69] Operation: 159-90=69
Exploring Operation: 159-95=64, Resulting Numbers: [90, 64]
Generated Node #0,0,1: 97:[90, 64] Operation: 159-95=64
Exploring Operation: 95-90=5, Resulting Numbers: [159, 5]
Generated Node #0,0,2: 97:[159, 5] Operation: 95-90=5
Exploring Operation: 90+95=185, Resulting Numbers: [159, 185]
Generated Node #0,0,3: 97:[159, 185] Operation: 90+95=185
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[95, 69], Operations: ['67+92=159', '159-90=69']
Exploring Operation: 95+69=164, Resulting Numbers: [164]
164,97 unequal: No Solution
Exploring Operation: 95*69=6555, Resulting Numbers: [6555]
6555,97 unequal: No Solution
Exploring Operation: 95-69=26, Resulting Numbers: [26]
26,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 97:[90, 64], Operations: ['67+92=159', '159-95=64']
Exploring Operation: 90*64=5760, Resulting Numbers: [5760]
5760,97 unequal: No Solution
Exploring Operation: 90-64=26, Resulting Numbers: [26]
26,97 unequal: No Solution
Exploring Operation: 90+64=154, Resulting Numbers: [154]
154,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 97:[159, 185], Operations: ['67+92=159', '90+95=185']
Exploring Operation: 159+185=344, Resulting Numbers: [344]
344,97 unequal: No Solution
Exploring Operation: 159*185=29415, Resulting Numbers: [29415]
29415,97 unequal: No Solution
Exploring Operation: 185-159=26, Resulting Numbers: [26]
26,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 97:[159, 5], Operations: ['67+92=159', '95-90=5']
Exploring Operation: 159+5=164, Resulting Numbers: [164]
164,97 unequal: No Solution
Exploring Operation: 159*5=795, Resulting Numbers: [795]
795,97 unequal: No Solution
Exploring Operation: 159-5=154, Resulting Numbers: [154]
154,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[92, 90, 162], Operations: ['67+95=162']
Exploring Operation: 92-90=2, Resulting Numbers: [162, 2]
Generated Node #0,1,0: 97:[162, 2] Operation: 92-90=2
Exploring Operation: 162-92=70, Resulting Numbers: [90, 70]
Generated Node #0,1,1: 97:[90, 70] Operation: 162-92=70
Exploring Operation: 92+90=182, Resulting Numbers: [162, 182]
Generated Node #0,1,2: 97:[162, 182] Operation: 92+90=182
Exploring Operation: 162-90=72, Resulting Numbers: [92, 72]
Generated Node #0,1,3: 97:[92, 72] Operation: 162-90=72
Moving to Node #0,1,3
Current State: 97:[92, 72], Operations: ['67+95=162', '162-90=72']
Exploring Operation: 92*72=6624, Resulting Numbers: [6624]
6624,97 unequal: No Solution
Exploring Operation: 92-72=20, Resulting Numbers: [20]
20,97 unequal: No Solution
Exploring Operation: 92+72=164, Resulting Numbers: [164]
164,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[90, 70], Operations: ['67+95=162', '162-92=70']
Exploring Operation: 90+70=160, Resulting Numbers: [160]
160,97 unequal: No Solution
Exploring Operation: 90-70=20, Resulting Numbers: [20]
20,97 unequal: No Solution
Exploring Operation: 90*70=6300, Resulting Numbers: [6300]
6300,97 unequal: No Solution
Moving to Node #0,1,2
Current State: 97:[162, 182], Operations: ['67+95=162', '92+90=182']
Exploring Operation: 182-162=20, Resulting Numbers: [20]
20,97 unequal: No Solution
Exploring Operation: 162*182=29484, Resulting Numbers: [29484]
29484,97 unequal: No Solution
Exploring Operation: 162+182=344, Resulting Numbers: [344]
344,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[162, 2], Operations: ['67+95=162', '92-90=2']
Exploring Operation: 162/2=81, Resulting Numbers: [81]
81,97 unequal: No Solution
Exploring Operation: 162-2=160, Resulting Numbers: [160]
160,97 unequal: No Solution
Exploring Operation: 162+2=164, Resulting Numbers: [164]
164,97 unequal: No Solution
Exploring Operation: 162*2=324, Resulting Numbers: [324]
324,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 97:[90, 95, 25], Operations: ['92-67=25']
Exploring Operation: 95-25=70, Resulting Numbers: [90, 70]
Generated Node #0,3,0: 97:[90, 70] Operation: 95-25=70
Exploring Operation: 90-25=65, Resulting Numbers: [95, 65]
Generated Node #0,3,1: 97:[95, 65] Operation: 90-25=65
Exploring Operation: 95+25=120, Resulting Numbers: [90, 120]
Generated Node #0,3,2: 97:[90, 120] Operation: 95+25=120
Exploring Operation: 90+25=115, Resulting Numbers: [95, 115]
Generated Node #0,3,3: 97:[95, 115] Operation: 90+25=115
Moving to Node #0,3,3
Current State: 97:[95, 115], Operations: ['92-67=25', '90+25=115']
Exploring Operation: 115-95=20, Resulting Numbers: [20]
20,97 unequal: No Solution
Exploring Operation: 95*115=10925, Resulting Numbers: [10925]
10925,97 unequal: No Solution
Exploring Operation: 95+115=210, Resulting Numbers: [210]
210,97 unequal: No Solution
Moving to Node #0,3,2
Current State: 97:[90, 120], Operations: ['92-67=25', '95+25=120']
Exploring Operation: 120-90=30, Resulting Numbers: [30]
30,97 unequal: No Solution
Exploring Operation: 90+120=210, Resulting Numbers: [210]
210,97 unequal: No Solution
Exploring Operation: 90*120=10800, Resulting Numbers: [10800]
10800,97 unequal: No Solution
Moving to Node #0,3,1
Current State: 97:[95, 65], Operations: ['92-67=25', '90-25=65']
Exploring Operation: 95+65=160, Resulting Numbers: [160]
160,97 unequal: No Solution
Exploring Operation: 95-65=30, Resulting Numbers: [30]
30,97 unequal: No Solution
Exploring Operation: 95*65=6175, Resulting Numbers: [6175]
6175,97 unequal: No Solution
Moving to Node #0,3,0
Current State: 97:[90, 70], Operations: ['92-67=25', '95-25=70']
Exploring Operation: 90-70=20, Resulting Numbers: [20]
20,97 unequal: No Solution
Exploring Operation: 90+70=160, Resulting Numbers: [160]
160,97 unequal: No Solution
Exploring Operation: 90*70=6300, Resulting Numbers: [6300]
6300,97 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 |
[
30,
24,
53,
12
] | 55 | [
"30-24=6",
"12/6=2",
"53+2=55"
] | Current State: 55:[30, 24, 53, 12], Operations: []
Exploring Operation: 30-24=6, Resulting Numbers: [53, 12, 6]
Generated Node #2: [53, 12, 6] from Operation: 30-24=6
Current State: 55:[53, 12, 6], Operations: ['30-24=6']
Exploring Operation: 12/6=2, Resulting Numbers: [53, 2]
Generated Node #3: [53, 2] from Operation: 12/6=2
Current State: 55:[53, 2], Operations: ['30-24=6', '12/6=2']
Exploring Operation: 53+2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[30, 24, 53, 12], Operations: []
Exploring Operation: 30-24=6, Resulting Numbers: [53, 12, 6]
Generated Node #0,0: 55:[53, 12, 6] Operation: 30-24=6
Exploring Operation: 30+24=54, Resulting Numbers: [53, 12, 54]
Generated Node #0,1: 55:[53, 12, 54] Operation: 30+24=54
Exploring Operation: 30-12=18, Resulting Numbers: [24, 53, 18]
Generated Node #0,2: 55:[24, 53, 18] Operation: 30-12=18
Moving to Node #0,0
Current State: 55:[53, 12, 6], Operations: ['30-24=6']
Exploring Operation: 12-6=6, Resulting Numbers: [53, 6]
Generated Node #0,0,0: 55:[53, 6] Operation: 12-6=6
Exploring Operation: 12/6=2, Resulting Numbers: [53, 2]
Generated Node #0,0,1: 55:[53, 2] Operation: 12/6=2
Exploring Operation: 53+6=59, Resulting Numbers: [12, 59]
Generated Node #0,0,2: 55:[12, 59] Operation: 53+6=59
Moving to Node #0,1
Current State: 55:[53, 12, 54], Operations: ['30+24=54']
Exploring Operation: 53+12=65, Resulting Numbers: [54, 65]
Generated Node #0,1,0: 55:[54, 65] Operation: 53+12=65
Exploring Operation: 12+54=66, Resulting Numbers: [53, 66]
Generated Node #0,1,1: 55:[53, 66] Operation: 12+54=66
Exploring Operation: 54-53=1, Resulting Numbers: [12, 1]
Generated Node #0,1,2: 55:[12, 1] Operation: 54-53=1
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 55:[12, 1], Operations: ['30+24=54', '54-53=1']
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,55 unequal: No Solution
Exploring Operation: 12*1=12, Resulting Numbers: [12]
12,55 unequal: No Solution
Exploring Operation: 12/1=12, Resulting Numbers: [12]
12,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 55:[54, 65], Operations: ['30+24=54', '53+12=65']
Exploring Operation: 54+65=119, Resulting Numbers: [119]
119,55 unequal: No Solution
Exploring Operation: 65-54=11, Resulting Numbers: [11]
11,55 unequal: No Solution
Exploring Operation: 54*65=3510, Resulting Numbers: [3510]
3510,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 55:[53, 66], Operations: ['30+24=54', '12+54=66']
Exploring Operation: 53*66=3498, Resulting Numbers: [3498]
3498,55 unequal: No Solution
Exploring Operation: 53+66=119, Resulting Numbers: [119]
119,55 unequal: No Solution
Exploring Operation: 66-53=13, Resulting Numbers: [13]
13,55 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: 55:[24, 53, 18], Operations: ['30-12=18']
Exploring Operation: 24+18=42, Resulting Numbers: [53, 42]
Generated Node #0,2,0: 55:[53, 42] Operation: 24+18=42
Exploring Operation: 24-18=6, Resulting Numbers: [53, 6]
Generated Node #0,2,1: 55:[53, 6] Operation: 24-18=6
Exploring Operation: 53-24=29, Resulting Numbers: [18, 29]
Generated Node #0,2,2: 55:[18, 29] Operation: 53-24=29
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 55:[53, 6], Operations: ['30-12=18', '24-18=6']
Exploring Operation: 53*6=318, Resulting Numbers: [318]
318,55 unequal: No Solution
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,55 unequal: No Solution
Exploring Operation: 53+6=59, Resulting Numbers: [59]
59,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 55:[53, 42], Operations: ['30-12=18', '24+18=42']
Exploring Operation: 53*42=2226, Resulting Numbers: [2226]
2226,55 unequal: No Solution
Exploring Operation: 53-42=11, Resulting Numbers: [11]
11,55 unequal: No Solution
Exploring Operation: 53+42=95, Resulting Numbers: [95]
95,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 55:[18, 29], Operations: ['30-12=18', '53-24=29']
Exploring Operation: 29-18=11, Resulting Numbers: [11]
11,55 unequal: No Solution
Exploring Operation: 18+29=47, Resulting Numbers: [47]
47,55 unequal: No Solution
Exploring Operation: 18*29=522, Resulting Numbers: [522]
522,55 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: 55:[53, 6], Operations: ['30-24=6', '12-6=6']
Exploring Operation: 53+6=59, Resulting Numbers: [59]
59,55 unequal: No Solution
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,55 unequal: No Solution
Exploring Operation: 53*6=318, Resulting Numbers: [318]
318,55 unequal: No Solution
Moving to Node #0,0,1
Current State: 55:[53, 2], Operations: ['30-24=6', '12/6=2']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,55 unequal: No Solution
Exploring Operation: 53+2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[30, 24, 53, 12], Operations: []
Exploring Operation: 30-24=6, Resulting Numbers: [53, 12, 6]
Generated Node #0,0: 55:[53, 12, 6] Operation: 30-24=6
Moving to Node #0,0
Current State: 55:[53, 12, 6], Operations: ['30-24=6']
Exploring Operation: 12/6=2, Resulting Numbers: [53, 2]
Generated Node #0,0,1: 55:[53, 2] Operation: 12/6=2
Moving to Node #0,0,1
Current State: 55:[53, 2], Operations: ['30-24=6', '12/6=2']
Exploring Operation: 53+2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 0.966146 | hs_3 | mult_heuristic |
[
16,
35,
38,
2
] | 16 | [
"16+38=54",
"35*2=70",
"70-54=16"
] | Current State: 16:[16, 35, 38, 2], Operations: []
Exploring Operation: 16+38=54, Resulting Numbers: [35, 2, 54]
Generated Node #2: [35, 2, 54] from Operation: 16+38=54
Current State: 16:[35, 2, 54], Operations: ['16+38=54']
Exploring Operation: 35*2=70, Resulting Numbers: [54, 70]
Generated Node #3: [54, 70] from Operation: 35*2=70
Current State: 16:[54, 70], Operations: ['16+38=54', '35*2=70']
Exploring Operation: 70-54=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[16, 35, 38, 2], Operations: []
Exploring Operation: 35-16=19, Resulting Numbers: [38, 2, 19]
Generated Node #0,0: 16:[38, 2, 19] Operation: 35-16=19
Exploring Operation: 38-16=22, Resulting Numbers: [35, 2, 22]
Generated Node #0,1: 16:[35, 2, 22] Operation: 38-16=22
Exploring Operation: 38/2=19, Resulting Numbers: [16, 35, 19]
Generated Node #0,2: 16:[16, 35, 19] Operation: 38/2=19
Exploring Operation: 35-2=33, Resulting Numbers: [16, 38, 33]
Generated Node #0,3: 16:[16, 38, 33] Operation: 35-2=33
Exploring Operation: 38-35=3, Resulting Numbers: [16, 2, 3]
Generated Node #0,4: 16:[16, 2, 3] Operation: 38-35=3
Start Sub Search at level 1: Moving to Node #0,4
Current State: 16:[16, 2, 3], Operations: ['38-35=3']
Exploring Operation: 3-2=1, Resulting Numbers: [16, 1]
Generated Node #0,4,0: 16:[16, 1] Operation: 3-2=1
Exploring Operation: 2+3=5, Resulting Numbers: [16, 5]
Generated Node #0,4,1: 16:[16, 5] Operation: 2+3=5
Exploring Operation: 16/2=8, Resulting Numbers: [3, 8]
Generated Node #0,4,2: 16:[3, 8] Operation: 16/2=8
Exploring Operation: 2*3=6, Resulting Numbers: [16, 6]
Generated Node #0,4,3: 16:[16, 6] Operation: 2*3=6
Exploring Operation: 16+2=18, Resulting Numbers: [3, 18]
Generated Node #0,4,4: 16:[3, 18] Operation: 16+2=18
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 16:[16, 1], Operations: ['38-35=3', '3-2=1']
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[16, 35, 38, 2], Operations: []
Exploring Operation: 38-35=3, Resulting Numbers: [16, 2, 3]
Generated Node #0,4: 16:[16, 2, 3] Operation: 38-35=3
Moving to Node #0,4
Current State: 16:[16, 2, 3], Operations: ['38-35=3']
Exploring Operation: 3-2=1, Resulting Numbers: [16, 1]
Generated Node #0,4,0: 16:[16, 1] Operation: 3-2=1
Moving to Node #0,4,0
Current State: 16:[16, 1], Operations: ['38-35=3', '3-2=1']
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
62,
92,
55,
31
] | 55 | [
"92-62=30",
"31-30=1",
"55*1=55"
] | Current State: 55:[62, 92, 55, 31], Operations: []
Exploring Operation: 92-62=30, Resulting Numbers: [55, 31, 30]
Generated Node #2: [55, 31, 30] from Operation: 92-62=30
Current State: 55:[55, 31, 30], Operations: ['92-62=30']
Exploring Operation: 31-30=1, Resulting Numbers: [55, 1]
Generated Node #3: [55, 1] from Operation: 31-30=1
Current State: 55:[55, 1], Operations: ['92-62=30', '31-30=1']
Exploring Operation: 55*1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[62, 92, 55, 31], Operations: []
Exploring Operation: 92-31=61, Resulting Numbers: [62, 55, 61]
Generated Node #0,0: 55:[62, 55, 61] Operation: 92-31=61
Moving to Node #0,0
Current State: 55:[62, 55, 61], Operations: ['92-31=61']
Exploring Operation: 62-61=1, Resulting Numbers: [55, 1]
Generated Node #0,0,0: 55:[55, 1] Operation: 62-61=1
Moving to Node #0,0,0
Current State: 55:[55, 1], Operations: ['92-31=61', '62-61=1']
Exploring Operation: 55*1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[62, 92, 55, 31], Operations: []
Exploring Operation: 92-31=61, Resulting Numbers: [62, 55, 61]
Generated Node #0,0: 55:[62, 55, 61] Operation: 92-31=61
Moving to Node #0,0
Current State: 55:[62, 55, 61], Operations: ['92-31=61']
Exploring Operation: 62-61=1, Resulting Numbers: [55, 1]
Generated Node #0,0,0: 55:[55, 1] Operation: 62-61=1
Moving to Node #0,0,0
Current State: 55:[55, 1], Operations: ['92-31=61', '62-61=1']
Exploring Operation: 55*1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
12,
73,
10,
34
] | 61 | [
"12+73=85",
"34-10=24",
"85-24=61"
] | Current State: 61:[12, 73, 10, 34], Operations: []
Exploring Operation: 12+73=85, Resulting Numbers: [10, 34, 85]
Generated Node #2: [10, 34, 85] from Operation: 12+73=85
Current State: 61:[10, 34, 85], Operations: ['12+73=85']
Exploring Operation: 34-10=24, Resulting Numbers: [85, 24]
Generated Node #3: [85, 24] from Operation: 34-10=24
Current State: 61:[85, 24], Operations: ['12+73=85', '34-10=24']
Exploring Operation: 85-24=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[12, 73, 10, 34], Operations: []
Exploring Operation: 73-12=61, Resulting Numbers: [10, 34, 61]
Generated Node #0,0: 61:[10, 34, 61] Operation: 73-12=61
Exploring Operation: 12+10=22, Resulting Numbers: [73, 34, 22]
Generated Node #0,1: 61:[73, 34, 22] Operation: 12+10=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[10, 34, 61], Operations: ['73-12=61']
Exploring Operation: 10+34=44, Resulting Numbers: [61, 44]
Generated Node #0,0,0: 61:[61, 44] Operation: 10+34=44
Exploring Operation: 34-10=24, Resulting Numbers: [61, 24]
Generated Node #0,0,1: 61:[61, 24] Operation: 34-10=24
Moving to Node #0,0,0
Current State: 61:[61, 44], Operations: ['73-12=61', '10+34=44']
Exploring Operation: 61-44=17, Resulting Numbers: [17]
17,61 unequal: No Solution
Exploring Operation: 61+44=105, Resulting Numbers: [105]
105,61 unequal: No Solution
Moving to Node #0,0,1
Current State: 61:[61, 24], Operations: ['73-12=61', '34-10=24']
Exploring Operation: 61-24=37, Resulting Numbers: [37]
37,61 unequal: No Solution
Exploring Operation: 61+24=85, Resulting Numbers: [85]
85,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[73, 34, 22], Operations: ['12+10=22']
Exploring Operation: 73-22=51, Resulting Numbers: [34, 51]
Generated Node #0,1,0: 61:[34, 51] Operation: 73-22=51
Exploring Operation: 34+22=56, Resulting Numbers: [73, 56]
Generated Node #0,1,1: 61:[73, 56] Operation: 34+22=56
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 61:[73, 56], Operations: ['12+10=22', '34+22=56']
Exploring Operation: 73+56=129, Resulting Numbers: [129]
129,61 unequal: No Solution
Exploring Operation: 73-56=17, Resulting Numbers: [17]
17,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 61:[34, 51], Operations: ['12+10=22', '73-22=51']
Exploring Operation: 51-34=17, Resulting Numbers: [17]
17,61 unequal: No Solution
Exploring Operation: 34+51=85, Resulting Numbers: [85]
85,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
61,
66,
2,
31
] | 94 | [
"61+66=127",
"2+31=33",
"127-33=94"
] | Current State: 94:[61, 66, 2, 31], Operations: []
Exploring Operation: 61+66=127, Resulting Numbers: [2, 31, 127]
Generated Node #2: [2, 31, 127] from Operation: 61+66=127
Current State: 94:[2, 31, 127], Operations: ['61+66=127']
Exploring Operation: 2+31=33, Resulting Numbers: [127, 33]
Generated Node #3: [127, 33] from Operation: 2+31=33
Current State: 94:[127, 33], Operations: ['61+66=127', '2+31=33']
Exploring Operation: 127-33=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[61, 66, 2, 31], Operations: []
Exploring Operation: 66-31=35, Resulting Numbers: [61, 2, 35]
Generated Node #0,0: 94:[61, 2, 35] Operation: 66-31=35
Exploring Operation: 66-61=5, Resulting Numbers: [2, 31, 5]
Generated Node #0,1: 94:[2, 31, 5] Operation: 66-61=5
Exploring Operation: 61+31=92, Resulting Numbers: [66, 2, 92]
Generated Node #0,2: 94:[66, 2, 92] Operation: 61+31=92
Exploring Operation: 66+31=97, Resulting Numbers: [61, 2, 97]
Generated Node #0,3: 94:[61, 2, 97] Operation: 66+31=97
Moving to Node #0,3
Current State: 94:[61, 2, 97], Operations: ['66+31=97']
Exploring Operation: 61-2=59, Resulting Numbers: [97, 59]
Generated Node #0,3,0: 94:[97, 59] Operation: 61-2=59
Exploring Operation: 97-2=95, Resulting Numbers: [61, 95]
Generated Node #0,3,1: 94:[61, 95] Operation: 97-2=95
Exploring Operation: 97-61=36, Resulting Numbers: [2, 36]
Generated Node #0,3,2: 94:[2, 36] Operation: 97-61=36
Exploring Operation: 61+2=63, Resulting Numbers: [97, 63]
Generated Node #0,3,3: 94:[97, 63] Operation: 61+2=63
Moving to Node #0,1
Current State: 94:[2, 31, 5], Operations: ['66-61=5']
Exploring Operation: 5-2=3, Resulting Numbers: [31, 3]
Generated Node #0,1,0: 94:[31, 3] Operation: 5-2=3
Exploring Operation: 2*31=62, Resulting Numbers: [5, 62]
Generated Node #0,1,1: 94:[5, 62] Operation: 2*31=62
Exploring Operation: 2+31=33, Resulting Numbers: [5, 33]
Generated Node #0,1,2: 94:[5, 33] Operation: 2+31=33
Exploring Operation: 31+5=36, Resulting Numbers: [2, 36]
Generated Node #0,1,3: 94:[2, 36] Operation: 31+5=36
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 94:[2, 36], Operations: ['66-61=5', '31+5=36']
Exploring Operation: 2+36=38, Resulting Numbers: [38]
38,94 unequal: No Solution
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,94 unequal: No Solution
Exploring Operation: 2*36=72, Resulting Numbers: [72]
72,94 unequal: No Solution
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 94:[31, 3], Operations: ['66-61=5', '5-2=3']
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,94 unequal: No Solution
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,94 unequal: No Solution
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 94:[5, 33], Operations: ['66-61=5', '2+31=33']
Exploring Operation: 5*33=165, Resulting Numbers: [165]
165,94 unequal: No Solution
Exploring Operation: 5+33=38, Resulting Numbers: [38]
38,94 unequal: No Solution
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 94:[5, 62], Operations: ['66-61=5', '2*31=62']
Exploring Operation: 62-5=57, Resulting Numbers: [57]
57,94 unequal: No Solution
Exploring Operation: 5+62=67, Resulting Numbers: [67]
67,94 unequal: No Solution
Exploring Operation: 5*62=310, Resulting Numbers: [310]
310,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 94:[66, 2, 92], Operations: ['61+31=92']
Exploring Operation: 2+92=94, Resulting Numbers: [66, 94]
Generated Node #0,2,0: 94:[66, 94] Operation: 2+92=94
Exploring Operation: 92/2=46, Resulting Numbers: [66, 46]
Generated Node #0,2,1: 94:[66, 46] Operation: 92/2=46
Exploring Operation: 66-2=64, Resulting Numbers: [92, 64]
Generated Node #0,2,2: 94:[92, 64] Operation: 66-2=64
Exploring Operation: 66/2=33, Resulting Numbers: [92, 33]
Generated Node #0,2,3: 94:[92, 33] Operation: 66/2=33
Moving to Node #0,0
Current State: 94:[61, 2, 35], Operations: ['66-31=35']
Exploring Operation: 61-35=26, Resulting Numbers: [2, 26]
Generated Node #0,0,0: 94:[2, 26] Operation: 61-35=26
Exploring Operation: 61+35=96, Resulting Numbers: [2, 96]
Generated Node #0,0,1: 94:[2, 96] Operation: 61+35=96
Exploring Operation: 2+35=37, Resulting Numbers: [61, 37]
Generated Node #0,0,2: 94:[61, 37] Operation: 2+35=37
Exploring Operation: 61-2=59, Resulting Numbers: [35, 59]
Generated Node #0,0,3: 94:[35, 59] Operation: 61-2=59
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 94:[2, 96], Operations: ['66-31=35', '61+35=96']
Exploring Operation: 2+96=98, Resulting Numbers: [98]
98,94 unequal: No Solution
Exploring Operation: 96/2=48, Resulting Numbers: [48]
48,94 unequal: No Solution
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[61, 66, 2, 31], Operations: []
Exploring Operation: 66-31=35, Resulting Numbers: [61, 2, 35]
Generated Node #0,0: 94:[61, 2, 35] Operation: 66-31=35
Moving to Node #0,0
Current State: 94:[61, 2, 35], Operations: ['66-31=35']
Exploring Operation: 61+35=96, Resulting Numbers: [2, 96]
Generated Node #0,0,1: 94:[2, 96] Operation: 61+35=96
Moving to Node #0,0,1
Current State: 94:[2, 96], Operations: ['66-31=35', '61+35=96']
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.965278 | hs_4 | sum_heuristic |
[
20,
39,
96,
97
] | 18 | [
"39-20=19",
"97-96=1",
"19-1=18"
] | Current State: 18:[20, 39, 96, 97], Operations: []
Exploring Operation: 39-20=19, Resulting Numbers: [96, 97, 19]
Generated Node #2: [96, 97, 19] from Operation: 39-20=19
Current State: 18:[96, 97, 19], Operations: ['39-20=19']
Exploring Operation: 97-96=1, Resulting Numbers: [19, 1]
Generated Node #3: [19, 1] from Operation: 97-96=1
Current State: 18:[19, 1], Operations: ['39-20=19', '97-96=1']
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[20, 39, 96, 97], Operations: []
Exploring Operation: 97-96=1, Resulting Numbers: [20, 39, 1]
Generated Node #0,0: 18:[20, 39, 1] Operation: 97-96=1
Exploring Operation: 97-39=58, Resulting Numbers: [20, 96, 58]
Generated Node #0,1: 18:[20, 96, 58] Operation: 97-39=58
Exploring Operation: 96-39=57, Resulting Numbers: [20, 97, 57]
Generated Node #0,2: 18:[20, 97, 57] Operation: 96-39=57
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[20, 39, 1], Operations: ['97-96=1']
Exploring Operation: 39-1=38, Resulting Numbers: [20, 38]
Generated Node #0,0,0: 18:[20, 38] Operation: 39-1=38
Exploring Operation: 39-20=19, Resulting Numbers: [1, 19]
Generated Node #0,0,1: 18:[1, 19] Operation: 39-20=19
Exploring Operation: 20-1=19, Resulting Numbers: [39, 19]
Generated Node #0,0,2: 18:[39, 19] Operation: 20-1=19
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 18:[1, 19], Operations: ['97-96=1', '39-20=19']
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,18 unequal: No Solution
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[20, 39, 96, 97], Operations: []
Exploring Operation: 97-96=1, Resulting Numbers: [20, 39, 1]
Generated Node #0,0: 18:[20, 39, 1] Operation: 97-96=1
Moving to Node #0,0
Current State: 18:[20, 39, 1], Operations: ['97-96=1']
Exploring Operation: 39-20=19, Resulting Numbers: [1, 19]
Generated Node #0,0,1: 18:[1, 19] Operation: 39-20=19
Moving to Node #0,0,1
Current State: 18:[1, 19], Operations: ['97-96=1', '39-20=19']
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
52,
9,
2,
44
] | 39 | [
"52+9=61",
"44/2=22",
"61-22=39"
] | Current State: 39:[52, 9, 2, 44], Operations: []
Exploring Operation: 52+9=61, Resulting Numbers: [2, 44, 61]
Generated Node #2: [2, 44, 61] from Operation: 52+9=61
Current State: 39:[2, 44, 61], Operations: ['52+9=61']
Exploring Operation: 44/2=22, Resulting Numbers: [61, 22]
Generated Node #3: [61, 22] from Operation: 44/2=22
Current State: 39:[61, 22], Operations: ['52+9=61', '44/2=22']
Exploring Operation: 61-22=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[52, 9, 2, 44], Operations: []
Exploring Operation: 52-44=8, Resulting Numbers: [9, 2, 8]
Generated Node #0,0: 39:[9, 2, 8] Operation: 52-44=8
Exploring Operation: 52-9=43, Resulting Numbers: [2, 44, 43]
Generated Node #0,1: 39:[2, 44, 43] Operation: 52-9=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[9, 2, 8], Operations: ['52-44=8']
Exploring Operation: 9-8=1, Resulting Numbers: [2, 1]
Generated Node #0,0,0: 39:[2, 1] Operation: 9-8=1
Exploring Operation: 9+8=17, Resulting Numbers: [2, 17]
Generated Node #0,0,1: 39:[2, 17] Operation: 9+8=17
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 39:[2, 1], Operations: ['52-44=8', '9-8=1']
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 39:[2, 17], Operations: ['52-44=8', '9+8=17']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,39 unequal: No Solution
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,39 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: 39:[2, 44, 43], Operations: ['52-9=43']
Exploring Operation: 44-43=1, Resulting Numbers: [2, 1]
Generated Node #0,1,0: 39:[2, 1] Operation: 44-43=1
Exploring Operation: 44-2=42, Resulting Numbers: [43, 42]
Generated Node #0,1,1: 39:[43, 42] Operation: 44-2=42
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 39:[2, 1], Operations: ['52-9=43', '44-43=1']
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 39:[43, 42], Operations: ['52-9=43', '44-2=42']
Exploring Operation: 43-42=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Exploring Operation: 43+42=85, Resulting Numbers: [85]
85,39 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 |
[
48,
69,
54,
86
] | 23 | [
"48+69=117",
"54+86=140",
"140-117=23"
] | Current State: 23:[48, 69, 54, 86], Operations: []
Exploring Operation: 48+69=117, Resulting Numbers: [54, 86, 117]
Generated Node #2: [54, 86, 117] from Operation: 48+69=117
Current State: 23:[54, 86, 117], Operations: ['48+69=117']
Exploring Operation: 54+86=140, Resulting Numbers: [117, 140]
Generated Node #3: [117, 140] from Operation: 54+86=140
Current State: 23:[117, 140], Operations: ['48+69=117', '54+86=140']
Exploring Operation: 140-117=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[48, 69, 54, 86], Operations: []
Exploring Operation: 86-54=32, Resulting Numbers: [48, 69, 32]
Generated Node #0,0: 23:[48, 69, 32] Operation: 86-54=32
Exploring Operation: 86-48=38, Resulting Numbers: [69, 54, 38]
Generated Node #0,1: 23:[69, 54, 38] Operation: 86-48=38
Exploring Operation: 86-69=17, Resulting Numbers: [48, 54, 17]
Generated Node #0,2: 23:[48, 54, 17] Operation: 86-69=17
Moving to Node #0,2
Current State: 23:[48, 54, 17], Operations: ['86-69=17']
Exploring Operation: 48-17=31, Resulting Numbers: [54, 31]
Generated Node #0,2,0: 23:[54, 31] Operation: 48-17=31
Exploring Operation: 54-48=6, Resulting Numbers: [17, 6]
Generated Node #0,2,1: 23:[17, 6] Operation: 54-48=6
Exploring Operation: 54-17=37, Resulting Numbers: [48, 37]
Generated Node #0,2,2: 23:[48, 37] Operation: 54-17=37
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 23:[17, 6], Operations: ['86-69=17', '54-48=6']
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[48, 69, 54, 86], Operations: []
Exploring Operation: 86-69=17, Resulting Numbers: [48, 54, 17]
Generated Node #0,2: 23:[48, 54, 17] Operation: 86-69=17
Moving to Node #0,2
Current State: 23:[48, 54, 17], Operations: ['86-69=17']
Exploring Operation: 54-48=6, Resulting Numbers: [17, 6]
Generated Node #0,2,1: 23:[17, 6] Operation: 54-48=6
Moving to Node #0,2,1
Current State: 23:[17, 6], Operations: ['86-69=17', '54-48=6']
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
31,
17,
14,
38
] | 38 | [
"31-17=14",
"14+38=52",
"52-14=38"
] | Current State: 38:[31, 17, 14, 38], Operations: []
Exploring Operation: 31-17=14, Resulting Numbers: [14, 38, 14]
Generated Node #2: [14, 38, 14] from Operation: 31-17=14
Current State: 38:[14, 38, 14], Operations: ['31-17=14']
Exploring Operation: 14+38=52, Resulting Numbers: [52]
52,38 equal: Goal Reached
Exploring Operation: 52-14=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[31, 17, 14, 38], Operations: []
Exploring Operation: 31-14=17, Resulting Numbers: [17, 38, 17]
Generated Node #0,0: 38:[17, 38, 17] Operation: 31-14=17
Exploring Operation: 17-14=3, Resulting Numbers: [31, 38, 3]
Generated Node #0,1: 38:[31, 38, 3] Operation: 17-14=3
Moving to Node #0,0
Current State: 38:[17, 38, 17], Operations: ['31-14=17']
Exploring Operation: 17/17=1, Resulting Numbers: [38, 1]
Generated Node #0,0,0: 38:[38, 1] Operation: 17/17=1
Exploring Operation: 17-17=0, Resulting Numbers: [38, 0]
Generated Node #0,0,1: 38:[38, 0] Operation: 17-17=0
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 38:[38, 1], Operations: ['31-14=17', '17/17=1']
Exploring Operation: 38*1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[31, 17, 14, 38], Operations: []
Exploring Operation: 31-14=17, Resulting Numbers: [17, 38, 17]
Generated Node #0,0: 38:[17, 38, 17] Operation: 31-14=17
Moving to Node #0,0
Current State: 38:[17, 38, 17], Operations: ['31-14=17']
Exploring Operation: 17/17=1, Resulting Numbers: [38, 1]
Generated Node #0,0,0: 38:[38, 1] Operation: 17/17=1
Moving to Node #0,0,0
Current State: 38:[38, 1], Operations: ['31-14=17', '17/17=1']
Exploring Operation: 38*1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
9,
5,
5,
45
] | 15 | [
"45/9=5",
"5+5=10",
"5+10=15"
] | Current State: 15:[9, 5, 5, 45], Operations: []
Exploring Operation: 45/9=5, Resulting Numbers: [5, 5, 5]
Generated Node #2: [5, 5, 5] from Operation: 45/9=5
Current State: 15:[5, 5, 5], Operations: ['45/9=5']
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,15 equal: Goal Reached
Exploring Operation: 5+10=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[9, 5, 5, 45], Operations: []
Exploring Operation: 45/9=5, Resulting Numbers: [5, 5, 5]
Generated Node #0,0: 15:[5, 5, 5] Operation: 45/9=5
Exploring Operation: 45/5=9, Resulting Numbers: [9, 5, 9]
Generated Node #0,1: 15:[9, 5, 9] Operation: 45/5=9
Exploring Operation: 45/5=9, Resulting Numbers: [9, 5, 9]
Generated Node #0,2: 15:[9, 5, 9] Operation: 45/5=9
Exploring Operation: 45-9=36, Resulting Numbers: [5, 5, 36]
Generated Node #0,3: 15:[5, 5, 36] Operation: 45-9=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[5, 5, 5], Operations: ['45/9=5']
Exploring Operation: 5/5=1, Resulting Numbers: [5, 1]
Generated Node #0,0,0: 15:[5, 1] Operation: 5/5=1
Exploring Operation: 5/5=1, Resulting Numbers: [5, 1]
Generated Node #0,0,1: 15:[5, 1] Operation: 5/5=1
Exploring Operation: 5/5=1, Resulting Numbers: [5, 1]
Generated Node #0,0,2: 15:[5, 1] Operation: 5/5=1
Exploring Operation: 5-5=0, Resulting Numbers: [5, 0]
Generated Node #0,0,3: 15:[5, 0] Operation: 5-5=0
Moving to Node #0,0,0
Current State: 15:[5, 1], Operations: ['45/9=5', '5/5=1']
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Moving to Node #0,0,2
Current State: 15:[5, 1], Operations: ['45/9=5', '5/5=1']
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[5, 1], Operations: ['45/9=5', '5/5=1']
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Moving to Node #0,0,3
Current State: 15:[5, 0], Operations: ['45/9=5', '5-5=0']
Exploring Operation: 5*0=0, Resulting Numbers: [0]
0,15 unequal: No Solution
Exploring Operation: 5-0=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 5+0=5, Resulting Numbers: [5]
5,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[9, 5, 9], Operations: ['45/5=9']
Exploring Operation: 9+5=14, Resulting Numbers: [9, 14]
Generated Node #0,1,0: 15:[9, 14] Operation: 9+5=14
Exploring Operation: 9-9=0, Resulting Numbers: [5, 0]
Generated Node #0,1,1: 15:[5, 0] Operation: 9-9=0
Exploring Operation: 9/9=1, Resulting Numbers: [5, 1]
Generated Node #0,1,2: 15:[5, 1] Operation: 9/9=1
Exploring Operation: 9+9=18, Resulting Numbers: [5, 18]
Generated Node #0,1,3: 15:[5, 18] Operation: 9+9=18
Moving to Node #0,1,2
Current State: 15:[5, 1], Operations: ['45/5=9', '9/9=1']
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Moving to Node #0,1,3
Current State: 15:[5, 18], Operations: ['45/5=9', '9+9=18']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,15 unequal: No Solution
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,15 unequal: No Solution
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,15 unequal: No Solution
Moving to Node #0,1,1
Current State: 15:[5, 0], Operations: ['45/5=9', '9-9=0']
Exploring Operation: 5+0=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 5-0=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 5*0=0, Resulting Numbers: [0]
0,15 unequal: No Solution
Moving to Node #0,1,0
Current State: 15:[9, 14], Operations: ['45/5=9', '9+5=14']
Exploring Operation: 9*14=126, Resulting Numbers: [126]
126,15 unequal: No Solution
Exploring Operation: 9+14=23, Resulting Numbers: [23]
23,15 unequal: No Solution
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 15:[9, 5, 9], Operations: ['45/5=9']
Exploring Operation: 9-9=0, Resulting Numbers: [5, 0]
Generated Node #0,2,0: 15:[5, 0] Operation: 9-9=0
Exploring Operation: 9+9=18, Resulting Numbers: [5, 18]
Generated Node #0,2,1: 15:[5, 18] Operation: 9+9=18
Exploring Operation: 9/9=1, Resulting Numbers: [5, 1]
Generated Node #0,2,2: 15:[5, 1] Operation: 9/9=1
Exploring Operation: 9+5=14, Resulting Numbers: [9, 14]
Generated Node #0,2,3: 15:[9, 14] Operation: 9+5=14
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 15:[5, 1], Operations: ['45/5=9', '9/9=1']
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 15:[5, 0], Operations: ['45/5=9', '9-9=0']
Exploring Operation: 5+0=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 5*0=0, Resulting Numbers: [0]
0,15 unequal: No Solution
Exploring Operation: 5-0=5, Resulting Numbers: [5]
5,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 15:[5, 18], Operations: ['45/5=9', '9+9=18']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,15 unequal: No Solution
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,15 unequal: No Solution
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 15:[9, 14], Operations: ['45/5=9', '9+5=14']
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 9+14=23, Resulting Numbers: [23]
23,15 unequal: No Solution
Exploring Operation: 9*14=126, Resulting Numbers: [126]
126,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 15:[5, 5, 36], Operations: ['45-9=36']
Exploring Operation: 36-5=31, Resulting Numbers: [5, 31]
Generated Node #0,3,0: 15:[5, 31] Operation: 36-5=31
Exploring Operation: 5/5=1, Resulting Numbers: [36, 1]
Generated Node #0,3,1: 15:[36, 1] Operation: 5/5=1
Exploring Operation: 5-5=0, Resulting Numbers: [36, 0]
Generated Node #0,3,2: 15:[36, 0] Operation: 5-5=0
Exploring Operation: 36-5=31, Resulting Numbers: [5, 31]
Generated Node #0,3,3: 15:[5, 31] Operation: 36-5=31
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 15:[5, 31], Operations: ['45-9=36', '36-5=31']
Exploring Operation: 5+31=36, Resulting Numbers: [36]
36,15 unequal: No Solution
Exploring Operation: 5*31=155, Resulting Numbers: [155]
155,15 unequal: No Solution
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 15:[5, 31], Operations: ['45-9=36', '36-5=31']
Exploring Operation: 5+31=36, Resulting Numbers: [36]
36,15 unequal: No Solution
Exploring Operation: 5*31=155, Resulting Numbers: [155]
155,15 unequal: No Solution
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 15:[36, 1], Operations: ['45-9=36', '5/5=1']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,15 unequal: No Solution
Exploring Operation: 36+1=37, Resulting Numbers: [37]
37,15 unequal: No Solution
Exploring Operation: 36*1=36, Resulting Numbers: [36]
36,15 unequal: No Solution
Exploring Operation: 36/1=36, Resulting Numbers: [36]
36,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 15:[36, 0], Operations: ['45-9=36', '5-5=0']
Exploring Operation: 36-0=36, Resulting Numbers: [36]
36,15 unequal: No Solution
Exploring Operation: 36*0=0, Resulting Numbers: [0]
0,15 unequal: No Solution
Exploring Operation: 36+0=36, Resulting Numbers: [36]
36,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
10,
47,
26,
45
] | 76 | [
"10+47=57",
"45-26=19",
"57+19=76"
] | Current State: 76:[10, 47, 26, 45], Operations: []
Exploring Operation: 10+47=57, Resulting Numbers: [26, 45, 57]
Generated Node #2: [26, 45, 57] from Operation: 10+47=57
Current State: 76:[26, 45, 57], Operations: ['10+47=57']
Exploring Operation: 45-26=19, Resulting Numbers: [57, 19]
Generated Node #3: [57, 19] from Operation: 45-26=19
Current State: 76:[57, 19], Operations: ['10+47=57', '45-26=19']
Exploring Operation: 57+19=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[10, 47, 26, 45], Operations: []
Exploring Operation: 47-45=2, Resulting Numbers: [10, 26, 2]
Generated Node #0,0: 76:[10, 26, 2] Operation: 47-45=2
Moving to Node #0,0
Current State: 76:[10, 26, 2], Operations: ['47-45=2']
Exploring Operation: 10+26=36, Resulting Numbers: [2, 36]
Generated Node #0,0,0: 76:[2, 36] Operation: 10+26=36
Moving to Node #0,0,0
Current State: 76:[2, 36], Operations: ['47-45=2', '10+26=36']
Exploring Operation: 2+36=38, Resulting Numbers: [38]
38,76 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
37,
26,
37,
45
] | 19 | [
"37+26=63",
"37+45=82",
"82-63=19"
] | Current State: 19:[37, 26, 37, 45], Operations: []
Exploring Operation: 37+26=63, Resulting Numbers: [45, 63]
Generated Node #2: [45, 63] from Operation: 37+26=63
Current State: 19:[45, 63], Operations: ['37+26=63']
Exploring Operation: 37+45=82, Resulting Numbers: [63, 82]
Generated Node #3: [63, 82] from Operation: 37+45=82
Current State: 19:[63, 82], Operations: ['37+26=63', '37+45=82']
Exploring Operation: 82-63=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[37, 26, 37, 45], Operations: []
Exploring Operation: 45-26=19, Resulting Numbers: [37, 37, 19]
Generated Node #0,0: 19:[37, 37, 19] Operation: 45-26=19
Exploring Operation: 45-37=8, Resulting Numbers: [26, 37, 8]
Generated Node #0,1: 19:[26, 37, 8] Operation: 45-37=8
Moving to Node #0,0
Current State: 19:[37, 37, 19], Operations: ['45-26=19']
Exploring Operation: 37/37=1, Resulting Numbers: [19, 1]
Generated Node #0,0,0: 19:[19, 1] Operation: 37/37=1
Exploring Operation: 37-37=0, Resulting Numbers: [19, 0]
Generated Node #0,0,1: 19:[19, 0] Operation: 37-37=0
Moving to Node #0,1
Current State: 19:[26, 37, 8], Operations: ['45-37=8']
Exploring Operation: 37-26=11, Resulting Numbers: [8, 11]
Generated Node #0,1,0: 19:[8, 11] Operation: 37-26=11
Exploring Operation: 37-8=29, Resulting Numbers: [26, 29]
Generated Node #0,1,1: 19:[26, 29] Operation: 37-8=29
Moving to Node #0,1,1
Current State: 19:[26, 29], Operations: ['45-37=8', '37-8=29']
Exploring Operation: 29-26=3, Resulting Numbers: [3]
3,19 unequal: No Solution
Exploring Operation: 26+29=55, Resulting Numbers: [55]
55,19 unequal: No Solution
Moving to Node #0,0,0
Current State: 19:[19, 1], Operations: ['45-26=19', '37/37=1']
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[37, 26, 37, 45], Operations: []
Exploring Operation: 45-26=19, Resulting Numbers: [37, 37, 19]
Generated Node #0,0: 19:[37, 37, 19] Operation: 45-26=19
Moving to Node #0,0
Current State: 19:[37, 37, 19], Operations: ['45-26=19']
Exploring Operation: 37/37=1, Resulting Numbers: [19, 1]
Generated Node #0,0,0: 19:[19, 1] Operation: 37/37=1
Moving to Node #0,0,0
Current State: 19:[19, 1], Operations: ['45-26=19', '37/37=1']
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 0.988715 | hs_2 | mult_heuristic |
[
80,
1,
69,
2
] | 75 | [
"80+1=81",
"69+81=150",
"150/2=75"
] | Current State: 75:[80, 1, 69, 2], Operations: []
Exploring Operation: 80+1=81, Resulting Numbers: [69, 2, 81]
Generated Node #2: [69, 2, 81] from Operation: 80+1=81
Current State: 75:[69, 2, 81], Operations: ['80+1=81']
Exploring Operation: 69+81=150, Resulting Numbers: [2, 150]
Generated Node #3: [2, 150] from Operation: 69+81=150
Current State: 75:[2, 150], Operations: ['80+1=81', '69+81=150']
Exploring Operation: 150/2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[80, 1, 69, 2], Operations: []
Exploring Operation: 1+2=3, Resulting Numbers: [80, 69, 3]
Generated Node #0,0: 75:[80, 69, 3] Operation: 1+2=3
Exploring Operation: 1+69=70, Resulting Numbers: [80, 2, 70]
Generated Node #0,1: 75:[80, 2, 70] Operation: 1+69=70
Exploring Operation: 80-2=78, Resulting Numbers: [1, 69, 78]
Generated Node #0,2: 75:[1, 69, 78] Operation: 80-2=78
Exploring Operation: 80-1=79, Resulting Numbers: [69, 2, 79]
Generated Node #0,3: 75:[69, 2, 79] Operation: 80-1=79
Exploring Operation: 80-69=11, Resulting Numbers: [1, 2, 11]
Generated Node #0,4: 75:[1, 2, 11] Operation: 80-69=11
Start Sub Search at level 1: Moving to Node #0,4
Current State: 75:[1, 2, 11], Operations: ['80-69=11']
Exploring Operation: 2+11=13, Resulting Numbers: [1, 13]
Generated Node #0,4,0: 75:[1, 13] Operation: 2+11=13
Exploring Operation: 2/1=2, Resulting Numbers: [11, 2]
Generated Node #0,4,1: 75:[11, 2] Operation: 2/1=2
Exploring Operation: 1*2=2, Resulting Numbers: [11, 2]
Generated Node #0,4,2: 75:[11, 2] Operation: 1*2=2
Exploring Operation: 1+11=12, Resulting Numbers: [2, 12]
Generated Node #0,4,3: 75:[2, 12] Operation: 1+11=12
Exploring Operation: 1+2=3, Resulting Numbers: [11, 3]
Generated Node #0,4,4: 75:[11, 3] Operation: 1+2=3
Moving to Node #0,4,0
Current State: 75:[1, 13], Operations: ['80-69=11', '2+11=13']
Exploring Operation: 1*13=13, Resulting Numbers: [13]
13,75 unequal: No Solution
Exploring Operation: 13/1=13, Resulting Numbers: [13]
13,75 unequal: No Solution
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,75 unequal: No Solution
Exploring Operation: 1+13=14, Resulting Numbers: [14]
14,75 unequal: No Solution
Moving to Node #0,4,4
Current State: 75:[11, 3], Operations: ['80-69=11', '1+2=3']
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,75 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,75 unequal: No Solution
Moving to Node #0,4,3
Current State: 75:[2, 12], Operations: ['80-69=11', '1+11=12']
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,75 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,75 unequal: No Solution
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,75 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,75 unequal: No Solution
Moving to Node #0,4,1
Current State: 75:[11, 2], Operations: ['80-69=11', '2/1=2']
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,75 unequal: No Solution
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,75 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,75 unequal: No Solution
Moving to Node #0,4,2
Current State: 75:[11, 2], Operations: ['80-69=11', '1*2=2']
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,75 unequal: No Solution
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,75 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[80, 69, 3], Operations: ['1+2=3']
Exploring Operation: 80+3=83, Resulting Numbers: [69, 83]
Generated Node #0,0,0: 75:[69, 83] Operation: 80+3=83
Exploring Operation: 69/3=23, Resulting Numbers: [80, 23]
Generated Node #0,0,1: 75:[80, 23] Operation: 69/3=23
Exploring Operation: 80-3=77, Resulting Numbers: [69, 77]
Generated Node #0,0,2: 75:[69, 77] Operation: 80-3=77
Exploring Operation: 69+3=72, Resulting Numbers: [80, 72]
Generated Node #0,0,3: 75:[80, 72] Operation: 69+3=72
Exploring Operation: 80-69=11, Resulting Numbers: [3, 11]
Generated Node #0,0,4: 75:[3, 11] Operation: 80-69=11
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 75:[3, 11], Operations: ['1+2=3', '80-69=11']
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,75 unequal: No Solution
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 75:[80, 23], Operations: ['1+2=3', '69/3=23']
Exploring Operation: 80-23=57, Resulting Numbers: [57]
57,75 unequal: No Solution
Exploring Operation: 80*23=1840, Resulting Numbers: [1840]
1840,75 unequal: No Solution
Exploring Operation: 80+23=103, Resulting Numbers: [103]
103,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 75:[69, 77], Operations: ['1+2=3', '80-3=77']
Exploring Operation: 69*77=5313, Resulting Numbers: [5313]
5313,75 unequal: No Solution
Exploring Operation: 77-69=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 69+77=146, Resulting Numbers: [146]
146,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 75:[80, 72], Operations: ['1+2=3', '69+3=72']
Exploring Operation: 80-72=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 80*72=5760, Resulting Numbers: [5760]
5760,75 unequal: No Solution
Exploring Operation: 80+72=152, Resulting Numbers: [152]
152,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 75:[69, 83], Operations: ['1+2=3', '80+3=83']
Exploring Operation: 83-69=14, Resulting Numbers: [14]
14,75 unequal: No Solution
Exploring Operation: 69*83=5727, Resulting Numbers: [5727]
5727,75 unequal: No Solution
Exploring Operation: 69+83=152, Resulting Numbers: [152]
152,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[80, 2, 70], Operations: ['1+69=70']
Exploring Operation: 80+2=82, Resulting Numbers: [70, 82]
Generated Node #0,1,0: 75:[70, 82] Operation: 80+2=82
Exploring Operation: 2+70=72, Resulting Numbers: [80, 72]
Generated Node #0,1,1: 75:[80, 72] Operation: 2+70=72
Exploring Operation: 80-2=78, Resulting Numbers: [70, 78]
Generated Node #0,1,2: 75:[70, 78] Operation: 80-2=78
Exploring Operation: 80-70=10, Resulting Numbers: [2, 10]
Generated Node #0,1,3: 75:[2, 10] Operation: 80-70=10
Exploring Operation: 70-2=68, Resulting Numbers: [80, 68]
Generated Node #0,1,4: 75:[80, 68] Operation: 70-2=68
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 75:[2, 10], Operations: ['1+69=70', '80-70=10']
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,75 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,75 unequal: No Solution
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 75:[80, 72], Operations: ['1+69=70', '2+70=72']
Exploring Operation: 80+72=152, Resulting Numbers: [152]
152,75 unequal: No Solution
Exploring Operation: 80*72=5760, Resulting Numbers: [5760]
5760,75 unequal: No Solution
Exploring Operation: 80-72=8, Resulting Numbers: [8]
8,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 75:[70, 78], Operations: ['1+69=70', '80-2=78']
Exploring Operation: 70+78=148, Resulting Numbers: [148]
148,75 unequal: No Solution
Exploring Operation: 70*78=5460, Resulting Numbers: [5460]
5460,75 unequal: No Solution
Exploring Operation: 78-70=8, Resulting Numbers: [8]
8,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 75:[70, 82], Operations: ['1+69=70', '80+2=82']
Exploring Operation: 70*82=5740, Resulting Numbers: [5740]
5740,75 unequal: No Solution
Exploring Operation: 70+82=152, Resulting Numbers: [152]
152,75 unequal: No Solution
Exploring Operation: 82-70=12, Resulting Numbers: [12]
12,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 75:[80, 68], Operations: ['1+69=70', '70-2=68']
Exploring Operation: 80*68=5440, Resulting Numbers: [5440]
5440,75 unequal: No Solution
Exploring Operation: 80-68=12, Resulting Numbers: [12]
12,75 unequal: No Solution
Exploring Operation: 80+68=148, Resulting Numbers: [148]
148,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[1, 69, 78], Operations: ['80-2=78']
Exploring Operation: 69/1=69, Resulting Numbers: [78, 69]
Generated Node #0,2,0: 75:[78, 69] Operation: 69/1=69
Exploring Operation: 1*69=69, Resulting Numbers: [78, 69]
Generated Node #0,2,1: 75:[78, 69] Operation: 1*69=69
Exploring Operation: 1+69=70, Resulting Numbers: [78, 70]
Generated Node #0,2,2: 75:[78, 70] Operation: 1+69=70
Exploring Operation: 78-69=9, Resulting Numbers: [1, 9]
Generated Node #0,2,3: 75:[1, 9] Operation: 78-69=9
Exploring Operation: 78-1=77, Resulting Numbers: [69, 77]
Generated Node #0,2,4: 75:[69, 77] Operation: 78-1=77
Moving to Node #0,2,3
Current State: 75:[1, 9], Operations: ['80-2=78', '78-69=9']
Exploring Operation: 9-1=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 9/1=9, Resulting Numbers: [9]
9,75 unequal: No Solution
Exploring Operation: 1+9=10, Resulting Numbers: [10]
10,75 unequal: No Solution
Exploring Operation: 1*9=9, Resulting Numbers: [9]
9,75 unequal: No Solution
Moving to Node #0,2,4
Current State: 75:[69, 77], Operations: ['80-2=78', '78-1=77']
Exploring Operation: 69+77=146, Resulting Numbers: [146]
146,75 unequal: No Solution
Exploring Operation: 77-69=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 69*77=5313, Resulting Numbers: [5313]
5313,75 unequal: No Solution
Moving to Node #0,2,2
Current State: 75:[78, 70], Operations: ['80-2=78', '1+69=70']
Exploring Operation: 78+70=148, Resulting Numbers: [148]
148,75 unequal: No Solution
Exploring Operation: 78*70=5460, Resulting Numbers: [5460]
5460,75 unequal: No Solution
Exploring Operation: 78-70=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Moving to Node #0,2,0
Current State: 75:[78, 69], Operations: ['80-2=78', '69/1=69']
Exploring Operation: 78+69=147, Resulting Numbers: [147]
147,75 unequal: No Solution
Exploring Operation: 78-69=9, Resulting Numbers: [9]
9,75 unequal: No Solution
Exploring Operation: 78*69=5382, Resulting Numbers: [5382]
5382,75 unequal: No Solution
Moving to Node #0,2,1
Current State: 75:[78, 69], Operations: ['80-2=78', '1*69=69']
Exploring Operation: 78-69=9, Resulting Numbers: [9]
9,75 unequal: No Solution
Exploring Operation: 78*69=5382, Resulting Numbers: [5382]
5382,75 unequal: No Solution
Exploring Operation: 78+69=147, Resulting Numbers: [147]
147,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 75:[69, 2, 79], Operations: ['80-1=79']
Exploring Operation: 69-2=67, Resulting Numbers: [79, 67]
Generated Node #0,3,0: 75:[79, 67] Operation: 69-2=67
Exploring Operation: 79-69=10, Resulting Numbers: [2, 10]
Generated Node #0,3,1: 75:[2, 10] Operation: 79-69=10
Exploring Operation: 2+79=81, Resulting Numbers: [69, 81]
Generated Node #0,3,2: 75:[69, 81] Operation: 2+79=81
Exploring Operation: 79-2=77, Resulting Numbers: [69, 77]
Generated Node #0,3,3: 75:[69, 77] Operation: 79-2=77
Exploring Operation: 69+2=71, Resulting Numbers: [79, 71]
Generated Node #0,3,4: 75:[79, 71] Operation: 69+2=71
Moving to Node #0,3,1
Current State: 75:[2, 10], Operations: ['80-1=79', '79-69=10']
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,75 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,75 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Moving to Node #0,3,4
Current State: 75:[79, 71], Operations: ['80-1=79', '69+2=71']
Exploring Operation: 79*71=5609, Resulting Numbers: [5609]
5609,75 unequal: No Solution
Exploring Operation: 79+71=150, Resulting Numbers: [150]
150,75 unequal: No Solution
Exploring Operation: 79-71=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Moving to Node #0,3,3
Current State: 75:[69, 77], Operations: ['80-1=79', '79-2=77']
Exploring Operation: 69*77=5313, Resulting Numbers: [5313]
5313,75 unequal: No Solution
Exploring Operation: 77-69=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 69+77=146, Resulting Numbers: [146]
146,75 unequal: No Solution
Moving to Node #0,3,0
Current State: 75:[79, 67], Operations: ['80-1=79', '69-2=67']
Exploring Operation: 79*67=5293, Resulting Numbers: [5293]
5293,75 unequal: No Solution
Exploring Operation: 79+67=146, Resulting Numbers: [146]
146,75 unequal: No Solution
Exploring Operation: 79-67=12, Resulting Numbers: [12]
12,75 unequal: No Solution
Moving to Node #0,3,2
Current State: 75:[69, 81], Operations: ['80-1=79', '2+79=81']
Exploring Operation: 81-69=12, Resulting Numbers: [12]
12,75 unequal: No Solution
Exploring Operation: 69*81=5589, Resulting Numbers: [5589]
5589,75 unequal: No Solution
Exploring Operation: 69+81=150, Resulting Numbers: [150]
150,75 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 |
[
88,
40,
13,
3
] | 22 | [
"13-3=10",
"88*10=880",
"880/40=22"
] | Current State: 22:[88, 40, 13, 3], Operations: []
Exploring Operation: 13-3=10, Resulting Numbers: [88, 40, 10]
Generated Node #2: [88, 40, 10] from Operation: 13-3=10
Current State: 22:[88, 40, 10], Operations: ['13-3=10']
Exploring Operation: 88*10=880, Resulting Numbers: [40, 880]
Generated Node #3: [40, 880] from Operation: 88*10=880
Current State: 22:[40, 880], Operations: ['13-3=10', '88*10=880']
Exploring Operation: 880/40=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[88, 40, 13, 3], Operations: []
Exploring Operation: 88-13=75, Resulting Numbers: [40, 3, 75]
Generated Node #0,0: 22:[40, 3, 75] Operation: 88-13=75
Exploring Operation: 88-40=48, Resulting Numbers: [13, 3, 48]
Generated Node #0,1: 22:[13, 3, 48] Operation: 88-40=48
Start Sub Search at level 1: Moving to Node #0,1
Current State: 22:[13, 3, 48], Operations: ['88-40=48']
Exploring Operation: 48/3=16, Resulting Numbers: [13, 16]
Generated Node #0,1,0: 22:[13, 16] Operation: 48/3=16
Exploring Operation: 48-13=35, Resulting Numbers: [3, 35]
Generated Node #0,1,1: 22:[3, 35] Operation: 48-13=35
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 22:[13, 16], Operations: ['88-40=48', '48/3=16']
Exploring Operation: 13+16=29, Resulting Numbers: [29]
29,22 unequal: No Solution
Exploring Operation: 16-13=3, Resulting Numbers: [3]
3,22 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 #0,1,1
Current State: 22:[3, 35], Operations: ['88-40=48', '48-13=35']
Exploring Operation: 3+35=38, Resulting Numbers: [38]
38,22 unequal: No Solution
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,22 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:[40, 3, 75], Operations: ['88-13=75']
Exploring Operation: 75-40=35, Resulting Numbers: [3, 35]
Generated Node #0,0,0: 22:[3, 35] Operation: 75-40=35
Exploring Operation: 75/3=25, Resulting Numbers: [40, 25]
Generated Node #0,0,1: 22:[40, 25] Operation: 75/3=25
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 22:[3, 35], Operations: ['88-13=75', '75-40=35']
Exploring Operation: 3+35=38, Resulting Numbers: [38]
38,22 unequal: No Solution
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,22 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:[40, 25], Operations: ['88-13=75', '75/3=25']
Exploring Operation: 40+25=65, Resulting Numbers: [65]
65,22 unequal: No Solution
Exploring Operation: 40-25=15, Resulting Numbers: [15]
15,22 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
No solution found.
| 0 | hs_2 | mult_heuristic |
[
75,
12,
69,
35
] | 29 | [
"75-12=63",
"69-35=34",
"63-34=29"
] | Current State: 29:[75, 12, 69, 35], Operations: []
Exploring Operation: 75-12=63, Resulting Numbers: [69, 35, 63]
Generated Node #2: [69, 35, 63] from Operation: 75-12=63
Current State: 29:[69, 35, 63], Operations: ['75-12=63']
Exploring Operation: 69-35=34, Resulting Numbers: [63, 34]
Generated Node #3: [63, 34] from Operation: 69-35=34
Current State: 29:[63, 34], Operations: ['75-12=63', '69-35=34']
Exploring Operation: 63-34=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[75, 12, 69, 35], Operations: []
Exploring Operation: 75-69=6, Resulting Numbers: [12, 35, 6]
Generated Node #0,0: 29:[12, 35, 6] Operation: 75-69=6
Moving to Node #0,0
Current State: 29:[12, 35, 6], Operations: ['75-69=6']
Exploring Operation: 12+6=18, Resulting Numbers: [35, 18]
Generated Node #0,0,0: 29:[35, 18] Operation: 12+6=18
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 29:[35, 18], Operations: ['75-69=6', '12+6=18']
Exploring Operation: 35-18=17, Resulting Numbers: [17]
17,29 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 |
[
27,
1,
59,
28
] | 59 | [
"27+1=28",
"59+28=87",
"87-28=59"
] | Current State: 59:[27, 1, 59, 28], Operations: []
Exploring Operation: 27+1=28, Resulting Numbers: [59, 28, 28]
Generated Node #2: [59, 28, 28] from Operation: 27+1=28
Current State: 59:[59, 28, 28], Operations: ['27+1=28']
Exploring Operation: 59+28=87, Resulting Numbers: [87]
87,59 equal: Goal Reached
Exploring Operation: 87-28=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[27, 1, 59, 28], Operations: []
Exploring Operation: 27+1=28, Resulting Numbers: [59, 28, 28]
Generated Node #0,0: 59:[59, 28, 28] Operation: 27+1=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[59, 28, 28], Operations: ['27+1=28']
Exploring Operation: 28+28=56, Resulting Numbers: [59, 56]
Generated Node #0,0,0: 59:[59, 56] Operation: 28+28=56
Moving to Node #0,0,0
Current State: 59:[59, 56], Operations: ['27+1=28', '28+28=56']
Exploring Operation: 59+56=115, Resulting Numbers: [115]
115,59 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 |
[
9,
47,
76,
7
] | 13 | [
"9+47=56",
"76-7=69",
"69-56=13"
] | Current State: 13:[9, 47, 76, 7], Operations: []
Exploring Operation: 9+47=56, Resulting Numbers: [76, 7, 56]
Generated Node #2: [76, 7, 56] from Operation: 9+47=56
Current State: 13:[76, 7, 56], Operations: ['9+47=56']
Exploring Operation: 76-7=69, Resulting Numbers: [56, 69]
Generated Node #3: [56, 69] from Operation: 76-7=69
Current State: 13:[56, 69], Operations: ['9+47=56', '76-7=69']
Exploring Operation: 69-56=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[9, 47, 76, 7], Operations: []
Exploring Operation: 76-9=67, Resulting Numbers: [47, 7, 67]
Generated Node #0,0: 13:[47, 7, 67] Operation: 76-9=67
Exploring Operation: 47-9=38, Resulting Numbers: [76, 7, 38]
Generated Node #0,1: 13:[76, 7, 38] Operation: 47-9=38
Exploring Operation: 76-47=29, Resulting Numbers: [9, 7, 29]
Generated Node #0,2: 13:[9, 7, 29] Operation: 76-47=29
Moving to Node #0,2
Current State: 13:[9, 7, 29], Operations: ['76-47=29']
Exploring Operation: 29-7=22, Resulting Numbers: [9, 22]
Generated Node #0,2,0: 13:[9, 22] Operation: 29-7=22
Exploring Operation: 29-9=20, Resulting Numbers: [7, 20]
Generated Node #0,2,1: 13:[7, 20] Operation: 29-9=20
Exploring Operation: 9+7=16, Resulting Numbers: [29, 16]
Generated Node #0,2,2: 13:[29, 16] Operation: 9+7=16
Moving to Node #0,0
Current State: 13:[47, 7, 67], Operations: ['76-9=67']
Exploring Operation: 67-7=60, Resulting Numbers: [47, 60]
Generated Node #0,0,0: 13:[47, 60] Operation: 67-7=60
Exploring Operation: 67-47=20, Resulting Numbers: [7, 20]
Generated Node #0,0,1: 13:[7, 20] Operation: 67-47=20
Exploring Operation: 47-7=40, Resulting Numbers: [67, 40]
Generated Node #0,0,2: 13:[67, 40] Operation: 47-7=40
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 13:[7, 20], Operations: ['76-9=67', '67-47=20']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[9, 47, 76, 7], Operations: []
Exploring Operation: 76-9=67, Resulting Numbers: [47, 7, 67]
Generated Node #0,0: 13:[47, 7, 67] Operation: 76-9=67
Moving to Node #0,0
Current State: 13:[47, 7, 67], Operations: ['76-9=67']
Exploring Operation: 67-47=20, Resulting Numbers: [7, 20]
Generated Node #0,0,1: 13:[7, 20] Operation: 67-47=20
Moving to Node #0,0,1
Current State: 13:[7, 20], Operations: ['76-9=67', '67-47=20']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | sum_heuristic |
[
96,
73,
46,
70
] | 69 | [
"70-46=24",
"96/24=4",
"73-4=69"
] | Current State: 69:[96, 73, 46, 70], Operations: []
Exploring Operation: 70-46=24, Resulting Numbers: [96, 73, 24]
Generated Node #2: [96, 73, 24] from Operation: 70-46=24
Current State: 69:[96, 73, 24], Operations: ['70-46=24']
Exploring Operation: 96/24=4, Resulting Numbers: [73, 4]
Generated Node #3: [73, 4] from Operation: 96/24=4
Current State: 69:[73, 4], Operations: ['70-46=24', '96/24=4']
Exploring Operation: 73-4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[96, 73, 46, 70], Operations: []
Exploring Operation: 70-46=24, Resulting Numbers: [96, 73, 24]
Generated Node #0,0: 69:[96, 73, 24] Operation: 70-46=24
Exploring Operation: 73-46=27, Resulting Numbers: [96, 70, 27]
Generated Node #0,1: 69:[96, 70, 27] Operation: 73-46=27
Exploring Operation: 96-70=26, Resulting Numbers: [73, 46, 26]
Generated Node #0,2: 69:[73, 46, 26] Operation: 96-70=26
Exploring Operation: 96-46=50, Resulting Numbers: [73, 70, 50]
Generated Node #0,3: 69:[73, 70, 50] Operation: 96-46=50
Exploring Operation: 96-73=23, Resulting Numbers: [46, 70, 23]
Generated Node #0,4: 69:[46, 70, 23] Operation: 96-73=23
Start Sub Search at level 1: Moving to Node #0,3
Current State: 69:[73, 70, 50], Operations: ['96-46=50']
Exploring Operation: 73-50=23, Resulting Numbers: [70, 23]
Generated Node #0,3,0: 69:[70, 23] Operation: 73-50=23
Exploring Operation: 70-50=20, Resulting Numbers: [73, 20]
Generated Node #0,3,1: 69:[73, 20] Operation: 70-50=20
Exploring Operation: 70+50=120, Resulting Numbers: [73, 120]
Generated Node #0,3,2: 69:[73, 120] Operation: 70+50=120
Exploring Operation: 73+50=123, Resulting Numbers: [70, 123]
Generated Node #0,3,3: 69:[70, 123] Operation: 73+50=123
Exploring Operation: 73-70=3, Resulting Numbers: [50, 3]
Generated Node #0,3,4: 69:[50, 3] Operation: 73-70=3
Moving to Node #0,3,0
Current State: 69:[70, 23], Operations: ['96-46=50', '73-50=23']
Exploring Operation: 70*23=1610, Resulting Numbers: [1610]
1610,69 unequal: No Solution
Exploring Operation: 70-23=47, Resulting Numbers: [47]
47,69 unequal: No Solution
Exploring Operation: 70+23=93, Resulting Numbers: [93]
93,69 unequal: No Solution
Moving to Node #0,3,1
Current State: 69:[73, 20], Operations: ['96-46=50', '70-50=20']
Exploring Operation: 73+20=93, Resulting Numbers: [93]
93,69 unequal: No Solution
Exploring Operation: 73-20=53, Resulting Numbers: [53]
53,69 unequal: No Solution
Exploring Operation: 73*20=1460, Resulting Numbers: [1460]
1460,69 unequal: No Solution
Moving to Node #0,3,4
Current State: 69:[50, 3], Operations: ['96-46=50', '73-70=3']
Exploring Operation: 50*3=150, Resulting Numbers: [150]
150,69 unequal: No Solution
Exploring Operation: 50+3=53, Resulting Numbers: [53]
53,69 unequal: No Solution
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,69 unequal: No Solution
Moving to Node #0,3,2
Current State: 69:[73, 120], Operations: ['96-46=50', '70+50=120']
Exploring Operation: 73+120=193, Resulting Numbers: [193]
193,69 unequal: No Solution
Exploring Operation: 73*120=8760, Resulting Numbers: [8760]
8760,69 unequal: No Solution
Exploring Operation: 120-73=47, Resulting Numbers: [47]
47,69 unequal: No Solution
Moving to Node #0,3,3
Current State: 69:[70, 123], Operations: ['96-46=50', '73+50=123']
Exploring Operation: 70+123=193, Resulting Numbers: [193]
193,69 unequal: No Solution
Exploring Operation: 70*123=8610, Resulting Numbers: [8610]
8610,69 unequal: No Solution
Exploring Operation: 123-70=53, Resulting Numbers: [53]
53,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 69:[46, 70, 23], Operations: ['96-73=23']
Exploring Operation: 46/23=2, Resulting Numbers: [70, 2]
Generated Node #0,4,0: 69:[70, 2] Operation: 46/23=2
Exploring Operation: 70-46=24, Resulting Numbers: [23, 24]
Generated Node #0,4,1: 69:[23, 24] Operation: 70-46=24
Exploring Operation: 46-23=23, Resulting Numbers: [70, 23]
Generated Node #0,4,2: 69:[70, 23] Operation: 46-23=23
Exploring Operation: 70-23=47, Resulting Numbers: [46, 47]
Generated Node #0,4,3: 69:[46, 47] Operation: 70-23=47
Exploring Operation: 46+23=69, Resulting Numbers: [70, 69]
Generated Node #0,4,4: 69:[70, 69] Operation: 46+23=69
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 69:[23, 24], Operations: ['96-73=23', '70-46=24']
Exploring Operation: 23*24=552, Resulting Numbers: [552]
552,69 unequal: No Solution
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 23+24=47, Resulting Numbers: [47]
47,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 69:[70, 23], Operations: ['96-73=23', '46-23=23']
Exploring Operation: 70*23=1610, Resulting Numbers: [1610]
1610,69 unequal: No Solution
Exploring Operation: 70+23=93, Resulting Numbers: [93]
93,69 unequal: No Solution
Exploring Operation: 70-23=47, Resulting Numbers: [47]
47,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 69:[70, 69], Operations: ['96-73=23', '46+23=69']
Exploring Operation: 70*69=4830, Resulting Numbers: [4830]
4830,69 unequal: No Solution
Exploring Operation: 70+69=139, Resulting Numbers: [139]
139,69 unequal: No Solution
Exploring Operation: 70-69=1, Resulting Numbers: [1]
1,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 69:[70, 2], Operations: ['96-73=23', '46/23=2']
Exploring Operation: 70+2=72, Resulting Numbers: [72]
72,69 unequal: No Solution
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,69 unequal: No Solution
Exploring Operation: 70*2=140, Resulting Numbers: [140]
140,69 unequal: No Solution
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 69:[46, 47], Operations: ['96-73=23', '70-23=47']
Exploring Operation: 47-46=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 46*47=2162, Resulting Numbers: [2162]
2162,69 unequal: No Solution
Exploring Operation: 46+47=93, Resulting Numbers: [93]
93,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 69:[73, 46, 26], Operations: ['96-70=26']
Exploring Operation: 46-26=20, Resulting Numbers: [73, 20]
Generated Node #0,2,0: 69:[73, 20] Operation: 46-26=20
Exploring Operation: 73+46=119, Resulting Numbers: [26, 119]
Generated Node #0,2,1: 69:[26, 119] Operation: 73+46=119
Exploring Operation: 46+26=72, Resulting Numbers: [73, 72]
Generated Node #0,2,2: 69:[73, 72] Operation: 46+26=72
Exploring Operation: 73-26=47, Resulting Numbers: [46, 47]
Generated Node #0,2,3: 69:[46, 47] Operation: 73-26=47
Exploring Operation: 73-46=27, Resulting Numbers: [26, 27]
Generated Node #0,2,4: 69:[26, 27] Operation: 73-46=27
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 69:[73, 20], Operations: ['96-70=26', '46-26=20']
Exploring Operation: 73-20=53, Resulting Numbers: [53]
53,69 unequal: No Solution
Exploring Operation: 73+20=93, Resulting Numbers: [93]
93,69 unequal: No Solution
Exploring Operation: 73*20=1460, Resulting Numbers: [1460]
1460,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 69:[73, 72], Operations: ['96-70=26', '46+26=72']
Exploring Operation: 73-72=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 73*72=5256, Resulting Numbers: [5256]
5256,69 unequal: No Solution
Exploring Operation: 73+72=145, Resulting Numbers: [145]
145,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 69:[26, 27], Operations: ['96-70=26', '73-46=27']
Exploring Operation: 27-26=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 26+27=53, Resulting Numbers: [53]
53,69 unequal: No Solution
Exploring Operation: 26*27=702, Resulting Numbers: [702]
702,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 69:[46, 47], Operations: ['96-70=26', '73-26=47']
Exploring Operation: 46*47=2162, Resulting Numbers: [2162]
2162,69 unequal: No Solution
Exploring Operation: 46+47=93, Resulting Numbers: [93]
93,69 unequal: No Solution
Exploring Operation: 47-46=1, Resulting Numbers: [1]
1,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 69:[26, 119], Operations: ['96-70=26', '73+46=119']
Exploring Operation: 26*119=3094, Resulting Numbers: [3094]
3094,69 unequal: No Solution
Exploring Operation: 119-26=93, Resulting Numbers: [93]
93,69 unequal: No Solution
Exploring Operation: 26+119=145, Resulting Numbers: [145]
145,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[96, 73, 24], Operations: ['70-46=24']
Exploring Operation: 96/24=4, Resulting Numbers: [73, 4]
Generated Node #0,0,0: 69:[73, 4] Operation: 96/24=4
Exploring Operation: 96-24=72, Resulting Numbers: [73, 72]
Generated Node #0,0,1: 69:[73, 72] Operation: 96-24=72
Exploring Operation: 73-24=49, Resulting Numbers: [96, 49]
Generated Node #0,0,2: 69:[96, 49] Operation: 73-24=49
Exploring Operation: 96-73=23, Resulting Numbers: [24, 23]
Generated Node #0,0,3: 69:[24, 23] Operation: 96-73=23
Exploring Operation: 96+24=120, Resulting Numbers: [73, 120]
Generated Node #0,0,4: 69:[73, 120] Operation: 96+24=120
Moving to Node #0,0,3
Current State: 69:[24, 23], Operations: ['70-46=24', '96-73=23']
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 24*23=552, Resulting Numbers: [552]
552,69 unequal: No Solution
Exploring Operation: 24+23=47, Resulting Numbers: [47]
47,69 unequal: No Solution
Moving to Node #0,0,0
Current State: 69:[73, 4], Operations: ['70-46=24', '96/24=4']
Exploring Operation: 73-4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[96, 73, 46, 70], Operations: []
Exploring Operation: 70-46=24, Resulting Numbers: [96, 73, 24]
Generated Node #0,0: 69:[96, 73, 24] Operation: 70-46=24
Moving to Node #0,0
Current State: 69:[96, 73, 24], Operations: ['70-46=24']
Exploring Operation: 96/24=4, Resulting Numbers: [73, 4]
Generated Node #0,0,0: 69:[73, 4] Operation: 96/24=4
Moving to Node #0,0,0
Current State: 69:[73, 4], Operations: ['70-46=24', '96/24=4']
Exploring Operation: 73-4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.931424 | hs_5 | mult_heuristic |
[
50,
34,
73,
8
] | 75 | [
"50-34=16",
"16/8=2",
"73+2=75"
] | Current State: 75:[50, 34, 73, 8], Operations: []
Exploring Operation: 50-34=16, Resulting Numbers: [73, 8, 16]
Generated Node #2: [73, 8, 16] from Operation: 50-34=16
Current State: 75:[73, 8, 16], Operations: ['50-34=16']
Exploring Operation: 16/8=2, Resulting Numbers: [73, 2]
Generated Node #3: [73, 2] from Operation: 16/8=2
Current State: 75:[73, 2], Operations: ['50-34=16', '16/8=2']
Exploring Operation: 73+2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[50, 34, 73, 8], Operations: []
Exploring Operation: 50-34=16, Resulting Numbers: [73, 8, 16]
Generated Node #0,0: 75:[73, 8, 16] Operation: 50-34=16
Exploring Operation: 50+34=84, Resulting Numbers: [73, 8, 84]
Generated Node #0,1: 75:[73, 8, 84] Operation: 50+34=84
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[73, 8, 16], Operations: ['50-34=16']
Exploring Operation: 16/8=2, Resulting Numbers: [73, 2]
Generated Node #0,0,0: 75:[73, 2] Operation: 16/8=2
Exploring Operation: 8+16=24, Resulting Numbers: [73, 24]
Generated Node #0,0,1: 75:[73, 24] Operation: 8+16=24
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 75:[73, 2], Operations: ['50-34=16', '16/8=2']
Exploring Operation: 73+2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[50, 34, 73, 8], Operations: []
Exploring Operation: 50-34=16, Resulting Numbers: [73, 8, 16]
Generated Node #0,0: 75:[73, 8, 16] Operation: 50-34=16
Moving to Node #0,0
Current State: 75:[73, 8, 16], Operations: ['50-34=16']
Exploring Operation: 16/8=2, Resulting Numbers: [73, 2]
Generated Node #0,0,0: 75:[73, 2] Operation: 16/8=2
Moving to Node #0,0,0
Current State: 75:[73, 2], Operations: ['50-34=16', '16/8=2']
Exploring Operation: 73+2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
87,
48,
93,
4
] | 46 | [
"87+48=135",
"93-4=89",
"135-89=46"
] | Current State: 46:[87, 48, 93, 4], Operations: []
Exploring Operation: 87+48=135, Resulting Numbers: [93, 4, 135]
Generated Node #2: [93, 4, 135] from Operation: 87+48=135
Current State: 46:[93, 4, 135], Operations: ['87+48=135']
Exploring Operation: 93-4=89, Resulting Numbers: [135, 89]
Generated Node #3: [135, 89] from Operation: 93-4=89
Current State: 46:[135, 89], Operations: ['87+48=135', '93-4=89']
Exploring Operation: 135-89=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[87, 48, 93, 4], Operations: []
Exploring Operation: 93-48=45, Resulting Numbers: [87, 4, 45]
Generated Node #0,0: 46:[87, 4, 45] Operation: 93-48=45
Exploring Operation: 93-87=6, Resulting Numbers: [48, 4, 6]
Generated Node #0,1: 46:[48, 4, 6] Operation: 93-87=6
Exploring Operation: 87-48=39, Resulting Numbers: [93, 4, 39]
Generated Node #0,2: 46:[93, 4, 39] Operation: 87-48=39
Moving to Node #0,1
Current State: 46:[48, 4, 6], Operations: ['93-87=6']
Exploring Operation: 6-4=2, Resulting Numbers: [48, 2]
Generated Node #0,1,0: 46:[48, 2] Operation: 6-4=2
Exploring Operation: 48-4=44, Resulting Numbers: [6, 44]
Generated Node #0,1,1: 46:[6, 44] Operation: 48-4=44
Exploring Operation: 4*6=24, Resulting Numbers: [48, 24]
Generated Node #0,1,2: 46:[48, 24] Operation: 4*6=24
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 46:[48, 2], Operations: ['93-87=6', '6-4=2']
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,46 unequal: No Solution
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,46 unequal: No Solution
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[87, 48, 93, 4], Operations: []
Exploring Operation: 93-87=6, Resulting Numbers: [48, 4, 6]
Generated Node #0,1: 46:[48, 4, 6] Operation: 93-87=6
Moving to Node #0,1
Current State: 46:[48, 4, 6], Operations: ['93-87=6']
Exploring Operation: 6-4=2, Resulting Numbers: [48, 2]
Generated Node #0,1,0: 46:[48, 2] Operation: 6-4=2
Moving to Node #0,1,0
Current State: 46:[48, 2], Operations: ['93-87=6', '6-4=2']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
44,
27,
75,
35
] | 57 | [
"44-27=17",
"75-35=40",
"17+40=57"
] | Current State: 57:[44, 27, 75, 35], Operations: []
Exploring Operation: 44-27=17, Resulting Numbers: [75, 35, 17]
Generated Node #2: [75, 35, 17] from Operation: 44-27=17
Current State: 57:[75, 35, 17], Operations: ['44-27=17']
Exploring Operation: 75-35=40, Resulting Numbers: [17, 40]
Generated Node #3: [17, 40] from Operation: 75-35=40
Current State: 57:[17, 40], Operations: ['44-27=17', '75-35=40']
Exploring Operation: 17+40=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[44, 27, 75, 35], Operations: []
Exploring Operation: 75-44=31, Resulting Numbers: [27, 35, 31]
Generated Node #0,0: 57:[27, 35, 31] Operation: 75-44=31
Exploring Operation: 44-27=17, Resulting Numbers: [75, 35, 17]
Generated Node #0,1: 57:[75, 35, 17] Operation: 44-27=17
Exploring Operation: 44-35=9, Resulting Numbers: [27, 75, 9]
Generated Node #0,2: 57:[27, 75, 9] Operation: 44-35=9
Moving to Node #0,2
Current State: 57:[27, 75, 9], Operations: ['44-35=9']
Exploring Operation: 75-9=66, Resulting Numbers: [27, 66]
Generated Node #0,2,0: 57:[27, 66] Operation: 75-9=66
Exploring Operation: 27/9=3, Resulting Numbers: [75, 3]
Generated Node #0,2,1: 57:[75, 3] Operation: 27/9=3
Exploring Operation: 75-27=48, Resulting Numbers: [9, 48]
Generated Node #0,2,2: 57:[9, 48] Operation: 75-27=48
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 57:[9, 48], Operations: ['44-35=9', '75-27=48']
Exploring Operation: 9+48=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[44, 27, 75, 35], Operations: []
Exploring Operation: 44-35=9, Resulting Numbers: [27, 75, 9]
Generated Node #0,2: 57:[27, 75, 9] Operation: 44-35=9
Moving to Node #0,2
Current State: 57:[27, 75, 9], Operations: ['44-35=9']
Exploring Operation: 75-27=48, Resulting Numbers: [9, 48]
Generated Node #0,2,2: 57:[9, 48] Operation: 75-27=48
Moving to Node #0,2,2
Current State: 57:[9, 48], Operations: ['44-35=9', '75-27=48']
Exploring Operation: 9+48=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
29,
65,
35,
55
] | 24 | [
"29*55=1595",
"1595-35=1560",
"1560/65=24"
] | Current State: 24:[29, 65, 35, 55], Operations: []
Exploring Operation: 29*55=1595, Resulting Numbers: [65, 35, 1595]
Generated Node #2: [65, 35, 1595] from Operation: 29*55=1595
Current State: 24:[65, 35, 1595], Operations: ['29*55=1595']
Exploring Operation: 1595-35=1560, Resulting Numbers: [65, 1560]
Generated Node #3: [65, 1560] from Operation: 1595-35=1560
Current State: 24:[65, 1560], Operations: ['29*55=1595', '1595-35=1560']
Exploring Operation: 1560/65=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[29, 65, 35, 55], Operations: []
Exploring Operation: 65-35=30, Resulting Numbers: [29, 55, 30]
Generated Node #0,0: 24:[29, 55, 30] Operation: 65-35=30
Exploring Operation: 65-29=36, Resulting Numbers: [35, 55, 36]
Generated Node #0,1: 24:[35, 55, 36] Operation: 65-29=36
Exploring Operation: 65-55=10, Resulting Numbers: [29, 35, 10]
Generated Node #0,2: 24:[29, 35, 10] Operation: 65-55=10
Exploring Operation: 55-35=20, Resulting Numbers: [29, 65, 20]
Generated Node #0,3: 24:[29, 65, 20] Operation: 55-35=20
Start Sub Search at level 1: Moving to Node #0,2
Current State: 24:[29, 35, 10], Operations: ['65-55=10']
Exploring Operation: 29-10=19, Resulting Numbers: [35, 19]
Generated Node #0,2,0: 24:[35, 19] Operation: 29-10=19
Exploring Operation: 29+10=39, Resulting Numbers: [35, 39]
Generated Node #0,2,1: 24:[35, 39] Operation: 29+10=39
Exploring Operation: 35-10=25, Resulting Numbers: [29, 25]
Generated Node #0,2,2: 24:[29, 25] Operation: 35-10=25
Exploring Operation: 35-29=6, Resulting Numbers: [10, 6]
Generated Node #0,2,3: 24:[10, 6] Operation: 35-29=6
Moving to Node #0,2,3
Current State: 24:[10, 6], Operations: ['65-55=10', '35-29=6']
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,24 unequal: No Solution
Exploring Operation: 10+6=16, Resulting Numbers: [16]
16,24 unequal: No Solution
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Moving to Node #0,2,2
Current State: 24:[29, 25], Operations: ['65-55=10', '35-10=25']
Exploring Operation: 29+25=54, Resulting Numbers: [54]
54,24 unequal: No Solution
Exploring Operation: 29-25=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Exploring Operation: 29*25=725, Resulting Numbers: [725]
725,24 unequal: No Solution
Moving to Node #0,2,0
Current State: 24:[35, 19], Operations: ['65-55=10', '29-10=19']
Exploring Operation: 35+19=54, Resulting Numbers: [54]
54,24 unequal: No Solution
Exploring Operation: 35-19=16, Resulting Numbers: [16]
16,24 unequal: No Solution
Exploring Operation: 35*19=665, Resulting Numbers: [665]
665,24 unequal: No Solution
Moving to Node #0,2,1
Current State: 24:[35, 39], Operations: ['65-55=10', '29+10=39']
Exploring Operation: 35*39=1365, Resulting Numbers: [1365]
1365,24 unequal: No Solution
Exploring Operation: 35+39=74, Resulting Numbers: [74]
74,24 unequal: No Solution
Exploring Operation: 39-35=4, Resulting Numbers: [4]
4,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[29, 55, 30], Operations: ['65-35=30']
Exploring Operation: 30-29=1, Resulting Numbers: [55, 1]
Generated Node #0,0,0: 24:[55, 1] Operation: 30-29=1
Exploring Operation: 55-29=26, Resulting Numbers: [30, 26]
Generated Node #0,0,1: 24:[30, 26] Operation: 55-29=26
Exploring Operation: 29+55=84, Resulting Numbers: [30, 84]
Generated Node #0,0,2: 24:[30, 84] Operation: 29+55=84
Exploring Operation: 55-30=25, Resulting Numbers: [29, 25]
Generated Node #0,0,3: 24:[29, 25] Operation: 55-30=25
Moving to Node #0,0,3
Current State: 24:[29, 25], Operations: ['65-35=30', '55-30=25']
Exploring Operation: 29-25=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Exploring Operation: 29*25=725, Resulting Numbers: [725]
725,24 unequal: No Solution
Exploring Operation: 29+25=54, Resulting Numbers: [54]
54,24 unequal: No Solution
Moving to Node #0,0,1
Current State: 24:[30, 26], Operations: ['65-35=30', '55-29=26']
Exploring Operation: 30*26=780, Resulting Numbers: [780]
780,24 unequal: No Solution
Exploring Operation: 30+26=56, Resulting Numbers: [56]
56,24 unequal: No Solution
Exploring Operation: 30-26=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Moving to Node #0,0,0
Current State: 24:[55, 1], Operations: ['65-35=30', '30-29=1']
Exploring Operation: 55*1=55, Resulting Numbers: [55]
55,24 unequal: No Solution
Exploring Operation: 55/1=55, Resulting Numbers: [55]
55,24 unequal: No Solution
Exploring Operation: 55-1=54, Resulting Numbers: [54]
54,24 unequal: No Solution
Exploring Operation: 55+1=56, Resulting Numbers: [56]
56,24 unequal: No Solution
Moving to Node #0,0,2
Current State: 24:[30, 84], Operations: ['65-35=30', '29+55=84']
Exploring Operation: 30*84=2520, Resulting Numbers: [2520]
2520,24 unequal: No Solution
Exploring Operation: 84-30=54, Resulting Numbers: [54]
54,24 unequal: No Solution
Exploring Operation: 30+84=114, Resulting Numbers: [114]
114,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 24:[29, 65, 20], Operations: ['55-35=20']
Exploring Operation: 65-20=45, Resulting Numbers: [29, 45]
Generated Node #0,3,0: 24:[29, 45] Operation: 65-20=45
Exploring Operation: 65-29=36, Resulting Numbers: [20, 36]
Generated Node #0,3,1: 24:[20, 36] Operation: 65-29=36
Exploring Operation: 29-20=9, Resulting Numbers: [65, 9]
Generated Node #0,3,2: 24:[65, 9] Operation: 29-20=9
Exploring Operation: 29+20=49, Resulting Numbers: [65, 49]
Generated Node #0,3,3: 24:[65, 49] Operation: 29+20=49
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 24:[20, 36], Operations: ['55-35=20', '65-29=36']
Exploring Operation: 20*36=720, Resulting Numbers: [720]
720,24 unequal: No Solution
Exploring Operation: 20+36=56, Resulting Numbers: [56]
56,24 unequal: No Solution
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 24:[29, 45], Operations: ['55-35=20', '65-20=45']
Exploring Operation: 45-29=16, Resulting Numbers: [16]
16,24 unequal: No Solution
Exploring Operation: 29+45=74, Resulting Numbers: [74]
74,24 unequal: No Solution
Exploring Operation: 29*45=1305, Resulting Numbers: [1305]
1305,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 24:[65, 9], Operations: ['55-35=20', '29-20=9']
Exploring Operation: 65-9=56, Resulting Numbers: [56]
56,24 unequal: No Solution
Exploring Operation: 65+9=74, Resulting Numbers: [74]
74,24 unequal: No Solution
Exploring Operation: 65*9=585, Resulting Numbers: [585]
585,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 24:[65, 49], Operations: ['55-35=20', '29+20=49']
Exploring Operation: 65+49=114, Resulting Numbers: [114]
114,24 unequal: No Solution
Exploring Operation: 65*49=3185, Resulting Numbers: [3185]
3185,24 unequal: No Solution
Exploring Operation: 65-49=16, Resulting Numbers: [16]
16,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 24:[35, 55, 36], Operations: ['65-29=36']
Exploring Operation: 55-36=19, Resulting Numbers: [35, 19]
Generated Node #0,1,0: 24:[35, 19] Operation: 55-36=19
Exploring Operation: 35+55=90, Resulting Numbers: [36, 90]
Generated Node #0,1,1: 24:[36, 90] Operation: 35+55=90
Exploring Operation: 36-35=1, Resulting Numbers: [55, 1]
Generated Node #0,1,2: 24:[55, 1] Operation: 36-35=1
Exploring Operation: 55-35=20, Resulting Numbers: [36, 20]
Generated Node #0,1,3: 24:[36, 20] Operation: 55-35=20
Moving to Node #0,1,0
Current State: 24:[35, 19], Operations: ['65-29=36', '55-36=19']
Exploring Operation: 35*19=665, Resulting Numbers: [665]
665,24 unequal: No Solution
Exploring Operation: 35+19=54, Resulting Numbers: [54]
54,24 unequal: No Solution
Exploring Operation: 35-19=16, Resulting Numbers: [16]
16,24 unequal: No Solution
Moving to Node #0,1,3
Current State: 24:[36, 20], Operations: ['65-29=36', '55-35=20']
Exploring Operation: 36+20=56, Resulting Numbers: [56]
56,24 unequal: No Solution
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,24 unequal: No Solution
Exploring Operation: 36*20=720, Resulting Numbers: [720]
720,24 unequal: No Solution
Moving to Node #0,1,2
Current State: 24:[55, 1], Operations: ['65-29=36', '36-35=1']
Exploring Operation: 55+1=56, Resulting Numbers: [56]
56,24 unequal: No Solution
Exploring Operation: 55-1=54, Resulting Numbers: [54]
54,24 unequal: No Solution
Exploring Operation: 55*1=55, Resulting Numbers: [55]
55,24 unequal: No Solution
Exploring Operation: 55/1=55, Resulting Numbers: [55]
55,24 unequal: No Solution
Moving to Node #0,1,1
Current State: 24:[36, 90], Operations: ['65-29=36', '35+55=90']
Exploring Operation: 36+90=126, Resulting Numbers: [126]
126,24 unequal: No Solution
Exploring Operation: 36*90=3240, Resulting Numbers: [3240]
3240,24 unequal: No Solution
Exploring Operation: 90-36=54, Resulting Numbers: [54]
54,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
88,
49,
96,
96
] | 37 | [
"96-88=8",
"96/8=12",
"49-12=37"
] | Current State: 37:[88, 49, 96, 96], Operations: []
Exploring Operation: 96-88=8, Resulting Numbers: [49, 8]
Generated Node #2: [49, 8] from Operation: 96-88=8
Current State: 37:[49, 8], Operations: ['96-88=8']
Exploring Operation: 96/8=12, Resulting Numbers: [49, 12]
Generated Node #3: [49, 12] from Operation: 96/8=12
Current State: 37:[49, 12], Operations: ['96-88=8', '96/8=12']
Exploring Operation: 49-12=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[88, 49, 96, 96], Operations: []
Exploring Operation: 96-88=8, Resulting Numbers: [49, 96, 8]
Generated Node #0,0: 37:[49, 96, 8] Operation: 96-88=8
Exploring Operation: 96-96=0, Resulting Numbers: [88, 49, 0]
Generated Node #0,1: 37:[88, 49, 0] Operation: 96-96=0
Exploring Operation: 96/96=1, Resulting Numbers: [88, 49, 1]
Generated Node #0,2: 37:[88, 49, 1] Operation: 96/96=1
Exploring Operation: 96-88=8, Resulting Numbers: [49, 96, 8]
Generated Node #0,3: 37:[49, 96, 8] Operation: 96-88=8
Exploring Operation: 88-49=39, Resulting Numbers: [96, 96, 39]
Generated Node #0,4: 37:[96, 96, 39] Operation: 88-49=39
Moving to Node #0,2
Current State: 37:[88, 49, 1], Operations: ['96/96=1']
Exploring Operation: 49-1=48, Resulting Numbers: [88, 48]
Generated Node #0,2,0: 37:[88, 48] Operation: 49-1=48
Exploring Operation: 88-49=39, Resulting Numbers: [1, 39]
Generated Node #0,2,1: 37:[1, 39] Operation: 88-49=39
Exploring Operation: 88-1=87, Resulting Numbers: [49, 87]
Generated Node #0,2,2: 37:[49, 87] Operation: 88-1=87
Exploring Operation: 88*1=88, Resulting Numbers: [49, 88]
Generated Node #0,2,3: 37:[49, 88] Operation: 88*1=88
Exploring Operation: 88/1=88, Resulting Numbers: [49, 88]
Generated Node #0,2,4: 37:[49, 88] Operation: 88/1=88
Moving to Node #0,1
Current State: 37:[88, 49, 0], Operations: ['96-96=0']
Exploring Operation: 88+0=88, Resulting Numbers: [49, 88]
Generated Node #0,1,0: 37:[49, 88] Operation: 88+0=88
Exploring Operation: 88*0=0, Resulting Numbers: [49, 0]
Generated Node #0,1,1: 37:[49, 0] Operation: 88*0=0
Exploring Operation: 88-49=39, Resulting Numbers: [0, 39]
Generated Node #0,1,2: 37:[0, 39] Operation: 88-49=39
Exploring Operation: 88-0=88, Resulting Numbers: [49, 88]
Generated Node #0,1,3: 37:[49, 88] Operation: 88-0=88
Exploring Operation: 49+0=49, Resulting Numbers: [88, 49]
Generated Node #0,1,4: 37:[88, 49] Operation: 49+0=49
Moving to Node #0,0
Current State: 37:[49, 96, 8], Operations: ['96-88=8']
Exploring Operation: 96/8=12, Resulting Numbers: [49, 12]
Generated Node #0,0,0: 37:[49, 12] Operation: 96/8=12
Exploring Operation: 49-8=41, Resulting Numbers: [96, 41]
Generated Node #0,0,1: 37:[96, 41] Operation: 49-8=41
Exploring Operation: 96-8=88, Resulting Numbers: [49, 88]
Generated Node #0,0,2: 37:[49, 88] Operation: 96-8=88
Exploring Operation: 96-49=47, Resulting Numbers: [8, 47]
Generated Node #0,0,3: 37:[8, 47] Operation: 96-49=47
Exploring Operation: 49+8=57, Resulting Numbers: [96, 57]
Generated Node #0,0,4: 37:[96, 57] Operation: 49+8=57
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[49, 12], Operations: ['96-88=8', '96/8=12']
Exploring Operation: 49+12=61, Resulting Numbers: [61]
61,37 unequal: No Solution
Exploring Operation: 49*12=588, Resulting Numbers: [588]
588,37 unequal: No Solution
Exploring Operation: 49-12=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[88, 49, 96, 96], Operations: []
Exploring Operation: 96-88=8, Resulting Numbers: [49, 96, 8]
Generated Node #0,0: 37:[49, 96, 8] Operation: 96-88=8
Moving to Node #0,0
Current State: 37:[49, 96, 8], Operations: ['96-88=8']
Exploring Operation: 96/8=12, Resulting Numbers: [49, 12]
Generated Node #0,0,0: 37:[49, 12] Operation: 96/8=12
Moving to Node #0,0,0
Current State: 37:[49, 12], Operations: ['96-88=8', '96/8=12']
Exploring Operation: 49-12=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_5 | mult_heuristic |
[
95,
73,
99,
80
] | 53 | [
"99-95=4",
"80/4=20",
"73-20=53"
] | Current State: 53:[95, 73, 99, 80], Operations: []
Exploring Operation: 99-95=4, Resulting Numbers: [73, 80, 4]
Generated Node #2: [73, 80, 4] from Operation: 99-95=4
Current State: 53:[73, 80, 4], Operations: ['99-95=4']
Exploring Operation: 80/4=20, Resulting Numbers: [73, 20]
Generated Node #3: [73, 20] from Operation: 80/4=20
Current State: 53:[73, 20], Operations: ['99-95=4', '80/4=20']
Exploring Operation: 73-20=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[95, 73, 99, 80], Operations: []
Exploring Operation: 99-80=19, Resulting Numbers: [95, 73, 19]
Generated Node #0,0: 53:[95, 73, 19] Operation: 99-80=19
Exploring Operation: 99-95=4, Resulting Numbers: [73, 80, 4]
Generated Node #0,1: 53:[73, 80, 4] Operation: 99-95=4
Exploring Operation: 99-73=26, Resulting Numbers: [95, 80, 26]
Generated Node #0,2: 53:[95, 80, 26] Operation: 99-73=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[95, 73, 19], Operations: ['99-80=19']
Exploring Operation: 73-19=54, Resulting Numbers: [95, 54]
Generated Node #0,0,0: 53:[95, 54] Operation: 73-19=54
Exploring Operation: 95-19=76, Resulting Numbers: [73, 76]
Generated Node #0,0,1: 53:[73, 76] Operation: 95-19=76
Exploring Operation: 95-73=22, Resulting Numbers: [19, 22]
Generated Node #0,0,2: 53:[19, 22] Operation: 95-73=22
Moving to Node #0,0,0
Current State: 53:[95, 54], Operations: ['99-80=19', '73-19=54']
Exploring Operation: 95*54=5130, Resulting Numbers: [5130]
5130,53 unequal: No Solution
Exploring Operation: 95-54=41, Resulting Numbers: [41]
41,53 unequal: No Solution
Exploring Operation: 95+54=149, Resulting Numbers: [149]
149,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[73, 76], Operations: ['99-80=19', '95-19=76']
Exploring Operation: 73*76=5548, Resulting Numbers: [5548]
5548,53 unequal: No Solution
Exploring Operation: 73+76=149, Resulting Numbers: [149]
149,53 unequal: No Solution
Exploring Operation: 76-73=3, Resulting Numbers: [3]
3,53 unequal: No Solution
Moving to Node #0,0,2
Current State: 53:[19, 22], Operations: ['99-80=19', '95-73=22']
Exploring Operation: 22-19=3, Resulting Numbers: [3]
3,53 unequal: No Solution
Exploring Operation: 19*22=418, Resulting Numbers: [418]
418,53 unequal: No Solution
Exploring Operation: 19+22=41, Resulting Numbers: [41]
41,53 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 #0,1
Current State: 53:[73, 80, 4], Operations: ['99-95=4']
Exploring Operation: 73+4=77, Resulting Numbers: [80, 77]
Generated Node #0,1,0: 53:[80, 77] Operation: 73+4=77
Exploring Operation: 80-4=76, Resulting Numbers: [73, 76]
Generated Node #0,1,1: 53:[73, 76] Operation: 80-4=76
Exploring Operation: 73-4=69, Resulting Numbers: [80, 69]
Generated Node #0,1,2: 53:[80, 69] Operation: 73-4=69
Moving to Node #0,1,1
Current State: 53:[73, 76], Operations: ['99-95=4', '80-4=76']
Exploring Operation: 76-73=3, Resulting Numbers: [3]
3,53 unequal: No Solution
Exploring Operation: 73*76=5548, Resulting Numbers: [5548]
5548,53 unequal: No Solution
Exploring Operation: 73+76=149, Resulting Numbers: [149]
149,53 unequal: No Solution
Moving to Node #0,1,2
Current State: 53:[80, 69], Operations: ['99-95=4', '73-4=69']
Exploring Operation: 80*69=5520, Resulting Numbers: [5520]
5520,53 unequal: No Solution
Exploring Operation: 80-69=11, Resulting Numbers: [11]
11,53 unequal: No Solution
Exploring Operation: 80+69=149, Resulting Numbers: [149]
149,53 unequal: No Solution
Moving to Node #0,1,0
Current State: 53:[80, 77], Operations: ['99-95=4', '73+4=77']
Exploring Operation: 80-77=3, Resulting Numbers: [3]
3,53 unequal: No Solution
Exploring Operation: 80*77=6160, Resulting Numbers: [6160]
6160,53 unequal: No Solution
Exploring Operation: 80+77=157, Resulting Numbers: [157]
157,53 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
Current State: 53:[95, 80, 26], Operations: ['99-73=26']
Exploring Operation: 95-80=15, Resulting Numbers: [26, 15]
Generated Node #0,2,0: 53:[26, 15] Operation: 95-80=15
Exploring Operation: 95-26=69, Resulting Numbers: [80, 69]
Generated Node #0,2,1: 53:[80, 69] Operation: 95-26=69
Exploring Operation: 80-26=54, Resulting Numbers: [95, 54]
Generated Node #0,2,2: 53:[95, 54] Operation: 80-26=54
Moving to Node #0,2,1
Current State: 53:[80, 69], Operations: ['99-73=26', '95-26=69']
Exploring Operation: 80+69=149, Resulting Numbers: [149]
149,53 unequal: No Solution
Exploring Operation: 80-69=11, Resulting Numbers: [11]
11,53 unequal: No Solution
Exploring Operation: 80*69=5520, Resulting Numbers: [5520]
5520,53 unequal: No Solution
Moving to Node #0,2,2
Current State: 53:[95, 54], Operations: ['99-73=26', '80-26=54']
Exploring Operation: 95+54=149, Resulting Numbers: [149]
149,53 unequal: No Solution
Exploring Operation: 95*54=5130, Resulting Numbers: [5130]
5130,53 unequal: No Solution
Exploring Operation: 95-54=41, Resulting Numbers: [41]
41,53 unequal: No Solution
Moving to Node #0,2,0
Current State: 53:[26, 15], Operations: ['99-73=26', '95-80=15']
Exploring Operation: 26+15=41, Resulting Numbers: [41]
41,53 unequal: No Solution
Exploring Operation: 26-15=11, Resulting Numbers: [11]
11,53 unequal: No Solution
Exploring Operation: 26*15=390, Resulting Numbers: [390]
390,53 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 |
[
65,
11,
49,
68
] | 41 | [
"65+11=76",
"49+68=117",
"117-76=41"
] | Current State: 41:[65, 11, 49, 68], Operations: []
Exploring Operation: 65+11=76, Resulting Numbers: [49, 68, 76]
Generated Node #2: [49, 68, 76] from Operation: 65+11=76
Current State: 41:[49, 68, 76], Operations: ['65+11=76']
Exploring Operation: 49+68=117, Resulting Numbers: [76, 117]
Generated Node #3: [76, 117] from Operation: 49+68=117
Current State: 41:[76, 117], Operations: ['65+11=76', '49+68=117']
Exploring Operation: 117-76=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[65, 11, 49, 68], Operations: []
Exploring Operation: 65+11=76, Resulting Numbers: [49, 68, 76]
Generated Node #0,0: 41:[49, 68, 76] Operation: 65+11=76
Exploring Operation: 65-11=54, Resulting Numbers: [49, 68, 54]
Generated Node #0,1: 41:[49, 68, 54] Operation: 65-11=54
Exploring Operation: 49-11=38, Resulting Numbers: [65, 68, 38]
Generated Node #0,2: 41:[65, 68, 38] Operation: 49-11=38
Exploring Operation: 68-11=57, Resulting Numbers: [65, 49, 57]
Generated Node #0,3: 41:[65, 49, 57] Operation: 68-11=57
Moving to Node #0,1
Current State: 41:[49, 68, 54], Operations: ['65-11=54']
Exploring Operation: 68-49=19, Resulting Numbers: [54, 19]
Generated Node #0,1,0: 41:[54, 19] Operation: 68-49=19
Exploring Operation: 49+68=117, Resulting Numbers: [54, 117]
Generated Node #0,1,1: 41:[54, 117] Operation: 49+68=117
Exploring Operation: 54-49=5, Resulting Numbers: [68, 5]
Generated Node #0,1,2: 41:[68, 5] Operation: 54-49=5
Exploring Operation: 68-54=14, Resulting Numbers: [49, 14]
Generated Node #0,1,3: 41:[49, 14] Operation: 68-54=14
Moving to Node #0,3
Current State: 41:[65, 49, 57], Operations: ['68-11=57']
Exploring Operation: 65-49=16, Resulting Numbers: [57, 16]
Generated Node #0,3,0: 41:[57, 16] Operation: 65-49=16
Exploring Operation: 65-57=8, Resulting Numbers: [49, 8]
Generated Node #0,3,1: 41:[49, 8] Operation: 65-57=8
Exploring Operation: 65+49=114, Resulting Numbers: [57, 114]
Generated Node #0,3,2: 41:[57, 114] Operation: 65+49=114
Exploring Operation: 57-49=8, Resulting Numbers: [65, 8]
Generated Node #0,3,3: 41:[65, 8] Operation: 57-49=8
Moving to Node #0,2
Current State: 41:[65, 68, 38], Operations: ['49-11=38']
Exploring Operation: 68-65=3, Resulting Numbers: [38, 3]
Generated Node #0,2,0: 41:[38, 3] Operation: 68-65=3
Exploring Operation: 65-38=27, Resulting Numbers: [68, 27]
Generated Node #0,2,1: 41:[68, 27] Operation: 65-38=27
Exploring Operation: 68-38=30, Resulting Numbers: [65, 30]
Generated Node #0,2,2: 41:[65, 30] Operation: 68-38=30
Exploring Operation: 65+38=103, Resulting Numbers: [68, 103]
Generated Node #0,2,3: 41:[68, 103] Operation: 65+38=103
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 41:[65, 30], Operations: ['49-11=38', '68-38=30']
Exploring Operation: 65-30=35, Resulting Numbers: [35]
35,41 unequal: No Solution
Exploring Operation: 65+30=95, Resulting Numbers: [95]
95,41 unequal: No Solution
Exploring Operation: 65*30=1950, Resulting Numbers: [1950]
1950,41 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 #0,2,0
Current State: 41:[38, 3], Operations: ['49-11=38', '68-65=3']
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,41 unequal: No Solution
Exploring Operation: 38+3=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[65, 11, 49, 68], Operations: []
Exploring Operation: 49-11=38, Resulting Numbers: [65, 68, 38]
Generated Node #0,2: 41:[65, 68, 38] Operation: 49-11=38
Moving to Node #0,2
Current State: 41:[65, 68, 38], Operations: ['49-11=38']
Exploring Operation: 68-65=3, Resulting Numbers: [38, 3]
Generated Node #0,2,0: 41:[38, 3] Operation: 68-65=3
Moving to Node #0,2,0
Current State: 41:[38, 3], Operations: ['49-11=38', '68-65=3']
Exploring Operation: 38+3=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_4 | mult_heuristic |
[
1,
19,
17,
24
] | 46 | [
"24-1=23",
"19-17=2",
"23*2=46"
] | Current State: 46:[1, 19, 17, 24], Operations: []
Exploring Operation: 24-1=23, Resulting Numbers: [19, 17, 23]
Generated Node #2: [19, 17, 23] from Operation: 24-1=23
Current State: 46:[19, 17, 23], Operations: ['24-1=23']
Exploring Operation: 19-17=2, Resulting Numbers: [23, 2]
Generated Node #3: [23, 2] from Operation: 19-17=2
Current State: 46:[23, 2], Operations: ['24-1=23', '19-17=2']
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[1, 19, 17, 24], Operations: []
Exploring Operation: 1+17=18, Resulting Numbers: [19, 24, 18]
Generated Node #0,0: 46:[19, 24, 18] Operation: 1+17=18
Exploring Operation: 19-17=2, Resulting Numbers: [1, 24, 2]
Generated Node #0,1: 46:[1, 24, 2] Operation: 19-17=2
Exploring Operation: 1+19=20, Resulting Numbers: [17, 24, 20]
Generated Node #0,2: 46:[17, 24, 20] Operation: 1+19=20
Moving to Node #0,1
Current State: 46:[1, 24, 2], Operations: ['19-17=2']
Exploring Operation: 1*24=24, Resulting Numbers: [2, 24]
Generated Node #0,1,0: 46:[2, 24] Operation: 1*24=24
Exploring Operation: 24/1=24, Resulting Numbers: [2, 24]
Generated Node #0,1,1: 46:[2, 24] Operation: 24/1=24
Exploring Operation: 24-1=23, Resulting Numbers: [2, 23]
Generated Node #0,1,2: 46:[2, 23] Operation: 24-1=23
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 46:[2, 23], Operations: ['19-17=2', '24-1=23']
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,46 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,46 unequal: No Solution
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[1, 19, 17, 24], Operations: []
Exploring Operation: 19-17=2, Resulting Numbers: [1, 24, 2]
Generated Node #0,1: 46:[1, 24, 2] Operation: 19-17=2
Moving to Node #0,1
Current State: 46:[1, 24, 2], Operations: ['19-17=2']
Exploring Operation: 24-1=23, Resulting Numbers: [2, 23]
Generated Node #0,1,2: 46:[2, 23] Operation: 24-1=23
Moving to Node #0,1,2
Current State: 46:[2, 23], Operations: ['19-17=2', '24-1=23']
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
60,
12,
95,
72
] | 29 | [
"95-60=35",
"72/12=6",
"35-6=29"
] | Current State: 29:[60, 12, 95, 72], Operations: []
Exploring Operation: 95-60=35, Resulting Numbers: [12, 72, 35]
Generated Node #2: [12, 72, 35] from Operation: 95-60=35
Current State: 29:[12, 72, 35], Operations: ['95-60=35']
Exploring Operation: 72/12=6, Resulting Numbers: [35, 6]
Generated Node #3: [35, 6] from Operation: 72/12=6
Current State: 29:[35, 6], Operations: ['95-60=35', '72/12=6']
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[60, 12, 95, 72], Operations: []
Exploring Operation: 72/12=6, Resulting Numbers: [60, 95, 6]
Generated Node #0,0: 29:[60, 95, 6] Operation: 72/12=6
Exploring Operation: 95-72=23, Resulting Numbers: [60, 12, 23]
Generated Node #0,1: 29:[60, 12, 23] Operation: 95-72=23
Exploring Operation: 72-60=12, Resulting Numbers: [12, 95, 12]
Generated Node #0,2: 29:[12, 95, 12] Operation: 72-60=12
Exploring Operation: 60-12=48, Resulting Numbers: [95, 72, 48]
Generated Node #0,3: 29:[95, 72, 48] Operation: 60-12=48
Exploring Operation: 95-60=35, Resulting Numbers: [12, 72, 35]
Generated Node #0,4: 29:[12, 72, 35] Operation: 95-60=35
Moving to Node #0,1
Current State: 29:[60, 12, 23], Operations: ['95-72=23']
Exploring Operation: 60-12=48, Resulting Numbers: [23, 48]
Generated Node #0,1,0: 29:[23, 48] Operation: 60-12=48
Exploring Operation: 12+23=35, Resulting Numbers: [60, 35]
Generated Node #0,1,1: 29:[60, 35] Operation: 12+23=35
Exploring Operation: 60+12=72, Resulting Numbers: [23, 72]
Generated Node #0,1,2: 29:[23, 72] Operation: 60+12=72
Exploring Operation: 60-23=37, Resulting Numbers: [12, 37]
Generated Node #0,1,3: 29:[12, 37] Operation: 60-23=37
Exploring Operation: 60/12=5, Resulting Numbers: [23, 5]
Generated Node #0,1,4: 29:[23, 5] Operation: 60/12=5
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 29:[23, 48], Operations: ['95-72=23', '60-12=48']
Exploring Operation: 23*48=1104, Resulting Numbers: [1104]
1104,29 unequal: No Solution
Exploring Operation: 48-23=25, Resulting Numbers: [25]
25,29 unequal: No Solution
Exploring Operation: 23+48=71, Resulting Numbers: [71]
71,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 29:[12, 37], Operations: ['95-72=23', '60-23=37']
Exploring Operation: 37-12=25, Resulting Numbers: [25]
25,29 unequal: No Solution
Exploring Operation: 12*37=444, Resulting Numbers: [444]
444,29 unequal: No Solution
Exploring Operation: 12+37=49, Resulting Numbers: [49]
49,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 29:[23, 5], Operations: ['95-72=23', '60/12=5']
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,29 unequal: No Solution
Exploring Operation: 23+5=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 23*5=115, Resulting Numbers: [115]
115,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 29:[60, 35], Operations: ['95-72=23', '12+23=35']
Exploring Operation: 60*35=2100, Resulting Numbers: [2100]
2100,29 unequal: No Solution
Exploring Operation: 60+35=95, Resulting Numbers: [95]
95,29 unequal: No Solution
Exploring Operation: 60-35=25, Resulting Numbers: [25]
25,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 29:[23, 72], Operations: ['95-72=23', '60+12=72']
Exploring Operation: 23+72=95, Resulting Numbers: [95]
95,29 unequal: No Solution
Exploring Operation: 23*72=1656, Resulting Numbers: [1656]
1656,29 unequal: No Solution
Exploring Operation: 72-23=49, Resulting Numbers: [49]
49,29 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: 29:[12, 72, 35], Operations: ['95-60=35']
Exploring Operation: 72-12=60, Resulting Numbers: [35, 60]
Generated Node #0,4,0: 29:[35, 60] Operation: 72-12=60
Exploring Operation: 72-35=37, Resulting Numbers: [12, 37]
Generated Node #0,4,1: 29:[12, 37] Operation: 72-35=37
Exploring Operation: 72/12=6, Resulting Numbers: [35, 6]
Generated Node #0,4,2: 29:[35, 6] Operation: 72/12=6
Exploring Operation: 35-12=23, Resulting Numbers: [72, 23]
Generated Node #0,4,3: 29:[72, 23] Operation: 35-12=23
Exploring Operation: 12+72=84, Resulting Numbers: [35, 84]
Generated Node #0,4,4: 29:[35, 84] Operation: 12+72=84
Moving to Node #0,2
Current State: 29:[12, 95, 12], Operations: ['72-60=12']
Exploring Operation: 12/12=1, Resulting Numbers: [95, 1]
Generated Node #0,2,0: 29:[95, 1] Operation: 12/12=1
Exploring Operation: 95-12=83, Resulting Numbers: [12, 83]
Generated Node #0,2,1: 29:[12, 83] Operation: 95-12=83
Exploring Operation: 12+95=107, Resulting Numbers: [12, 107]
Generated Node #0,2,2: 29:[12, 107] Operation: 12+95=107
Exploring Operation: 95-12=83, Resulting Numbers: [12, 83]
Generated Node #0,2,3: 29:[12, 83] Operation: 95-12=83
Exploring Operation: 12+12=24, Resulting Numbers: [95, 24]
Generated Node #0,2,4: 29:[95, 24] Operation: 12+12=24
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 29:[12, 83], Operations: ['72-60=12', '95-12=83']
Exploring Operation: 12*83=996, Resulting Numbers: [996]
996,29 unequal: No Solution
Exploring Operation: 83-12=71, Resulting Numbers: [71]
71,29 unequal: No Solution
Exploring Operation: 12+83=95, Resulting Numbers: [95]
95,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 29:[12, 83], Operations: ['72-60=12', '95-12=83']
Exploring Operation: 12+83=95, Resulting Numbers: [95]
95,29 unequal: No Solution
Exploring Operation: 83-12=71, Resulting Numbers: [71]
71,29 unequal: No Solution
Exploring Operation: 12*83=996, Resulting Numbers: [996]
996,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 29:[95, 24], Operations: ['72-60=12', '12+12=24']
Exploring Operation: 95*24=2280, Resulting Numbers: [2280]
2280,29 unequal: No Solution
Exploring Operation: 95+24=119, Resulting Numbers: [119]
119,29 unequal: No Solution
Exploring Operation: 95-24=71, Resulting Numbers: [71]
71,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 29:[95, 1], Operations: ['72-60=12', '12/12=1']
Exploring Operation: 95/1=95, Resulting Numbers: [95]
95,29 unequal: No Solution
Exploring Operation: 95+1=96, Resulting Numbers: [96]
96,29 unequal: No Solution
Exploring Operation: 95-1=94, Resulting Numbers: [94]
94,29 unequal: No Solution
Exploring Operation: 95*1=95, Resulting Numbers: [95]
95,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 29:[12, 107], Operations: ['72-60=12', '12+95=107']
Exploring Operation: 12*107=1284, Resulting Numbers: [1284]
1284,29 unequal: No Solution
Exploring Operation: 12+107=119, Resulting Numbers: [119]
119,29 unequal: No Solution
Exploring Operation: 107-12=95, Resulting Numbers: [95]
95,29 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: 29:[60, 95, 6], Operations: ['72/12=6']
Exploring Operation: 95-60=35, Resulting Numbers: [6, 35]
Generated Node #0,0,0: 29:[6, 35] Operation: 95-60=35
Exploring Operation: 95-6=89, Resulting Numbers: [60, 89]
Generated Node #0,0,1: 29:[60, 89] Operation: 95-6=89
Exploring Operation: 60/6=10, Resulting Numbers: [95, 10]
Generated Node #0,0,2: 29:[95, 10] Operation: 60/6=10
Exploring Operation: 60-6=54, Resulting Numbers: [95, 54]
Generated Node #0,0,3: 29:[95, 54] Operation: 60-6=54
Exploring Operation: 60+6=66, Resulting Numbers: [95, 66]
Generated Node #0,0,4: 29:[95, 66] Operation: 60+6=66
Moving to Node #0,3
Current State: 29:[95, 72, 48], Operations: ['60-12=48']
Exploring Operation: 95-72=23, Resulting Numbers: [48, 23]
Generated Node #0,3,0: 29:[48, 23] Operation: 95-72=23
Exploring Operation: 95-48=47, Resulting Numbers: [72, 47]
Generated Node #0,3,1: 29:[72, 47] Operation: 95-48=47
Exploring Operation: 95+48=143, Resulting Numbers: [72, 143]
Generated Node #0,3,2: 29:[72, 143] Operation: 95+48=143
Exploring Operation: 72-48=24, Resulting Numbers: [95, 24]
Generated Node #0,3,3: 29:[95, 24] Operation: 72-48=24
Exploring Operation: 95+72=167, Resulting Numbers: [48, 167]
Generated Node #0,3,4: 29:[48, 167] Operation: 95+72=167
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 29:[48, 23], Operations: ['60-12=48', '95-72=23']
Exploring Operation: 48*23=1104, Resulting Numbers: [1104]
1104,29 unequal: No Solution
Exploring Operation: 48+23=71, Resulting Numbers: [71]
71,29 unequal: No Solution
Exploring Operation: 48-23=25, Resulting Numbers: [25]
25,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 29:[72, 47], Operations: ['60-12=48', '95-48=47']
Exploring Operation: 72*47=3384, Resulting Numbers: [3384]
3384,29 unequal: No Solution
Exploring Operation: 72-47=25, Resulting Numbers: [25]
25,29 unequal: No Solution
Exploring Operation: 72+47=119, Resulting Numbers: [119]
119,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 29:[95, 24], Operations: ['60-12=48', '72-48=24']
Exploring Operation: 95-24=71, Resulting Numbers: [71]
71,29 unequal: No Solution
Exploring Operation: 95+24=119, Resulting Numbers: [119]
119,29 unequal: No Solution
Exploring Operation: 95*24=2280, Resulting Numbers: [2280]
2280,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 29:[72, 143], Operations: ['60-12=48', '95+48=143']
Exploring Operation: 72*143=10296, Resulting Numbers: [10296]
10296,29 unequal: No Solution
Exploring Operation: 72+143=215, Resulting Numbers: [215]
215,29 unequal: No Solution
Exploring Operation: 143-72=71, Resulting Numbers: [71]
71,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 29:[48, 167], Operations: ['60-12=48', '95+72=167']
Exploring Operation: 167-48=119, Resulting Numbers: [119]
119,29 unequal: No Solution
Exploring Operation: 48+167=215, Resulting Numbers: [215]
215,29 unequal: No Solution
Exploring Operation: 48*167=8016, Resulting Numbers: [8016]
8016,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,1
Current State: 29:[12, 37], Operations: ['95-60=35', '72-35=37']
Exploring Operation: 12+37=49, Resulting Numbers: [49]
49,29 unequal: No Solution
Exploring Operation: 37-12=25, Resulting Numbers: [25]
25,29 unequal: No Solution
Exploring Operation: 12*37=444, Resulting Numbers: [444]
444,29 unequal: No Solution
Moving to Node #0,0,0
Current State: 29:[6, 35], Operations: ['72/12=6', '95-60=35']
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[60, 12, 95, 72], Operations: []
Exploring Operation: 72/12=6, Resulting Numbers: [60, 95, 6]
Generated Node #0,0: 29:[60, 95, 6] Operation: 72/12=6
Moving to Node #0,0
Current State: 29:[60, 95, 6], Operations: ['72/12=6']
Exploring Operation: 95-60=35, Resulting Numbers: [6, 35]
Generated Node #0,0,0: 29:[6, 35] Operation: 95-60=35
Moving to Node #0,0,0
Current State: 29:[6, 35], Operations: ['72/12=6', '95-60=35']
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 0.927083 | hs_5 | sum_heuristic |
[
10,
29,
52,
29
] | 10 | [
"29-29=0",
"52*0=0",
"10+0=10"
] | Current State: 10:[10, 29, 52, 29], Operations: []
Exploring Operation: 29-29=0, Resulting Numbers: [10, 52, 0]
Generated Node #2: [10, 52, 0] from Operation: 29-29=0
Current State: 10:[10, 52, 0], Operations: ['29-29=0']
Exploring Operation: 52*0=0, Resulting Numbers: [10, 0]
Generated Node #3: [10, 0] from Operation: 52*0=0
Current State: 10:[10, 0], Operations: ['29-29=0', '52*0=0']
Exploring Operation: 10+0=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[10, 29, 52, 29], Operations: []
Exploring Operation: 29/29=1, Resulting Numbers: [10, 52, 1]
Generated Node #0,0: 10:[10, 52, 1] Operation: 29/29=1
Exploring Operation: 52-29=23, Resulting Numbers: [10, 29, 23]
Generated Node #0,1: 10:[10, 29, 23] Operation: 52-29=23
Exploring Operation: 52-29=23, Resulting Numbers: [10, 29, 23]
Generated Node #0,2: 10:[10, 29, 23] Operation: 52-29=23
Moving to Node #0,1
Current State: 10:[10, 29, 23], Operations: ['52-29=23']
Exploring Operation: 29-23=6, Resulting Numbers: [10, 6]
Generated Node #0,1,0: 10:[10, 6] Operation: 29-23=6
Exploring Operation: 29-10=19, Resulting Numbers: [23, 19]
Generated Node #0,1,1: 10:[23, 19] Operation: 29-10=19
Exploring Operation: 23-10=13, Resulting Numbers: [29, 13]
Generated Node #0,1,2: 10:[29, 13] Operation: 23-10=13
Moving to Node #0,2
Current State: 10:[10, 29, 23], Operations: ['52-29=23']
Exploring Operation: 23-10=13, Resulting Numbers: [29, 13]
Generated Node #0,2,0: 10:[29, 13] Operation: 23-10=13
Exploring Operation: 29-10=19, Resulting Numbers: [23, 19]
Generated Node #0,2,1: 10:[23, 19] Operation: 29-10=19
Exploring Operation: 29-23=6, Resulting Numbers: [10, 6]
Generated Node #0,2,2: 10:[10, 6] Operation: 29-23=6
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 10:[10, 6], Operations: ['52-29=23', '29-23=6']
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,10 unequal: No Solution
Exploring Operation: 10+6=16, Resulting Numbers: [16]
16,10 unequal: No Solution
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 10:[29, 13], Operations: ['52-29=23', '23-10=13']
Exploring Operation: 29-13=16, Resulting Numbers: [16]
16,10 unequal: No Solution
Exploring Operation: 29*13=377, Resulting Numbers: [377]
377,10 unequal: No Solution
Exploring Operation: 29+13=42, Resulting Numbers: [42]
42,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 10:[23, 19], Operations: ['52-29=23', '29-10=19']
Exploring Operation: 23-19=4, Resulting Numbers: [4]
4,10 unequal: No Solution
Exploring Operation: 23*19=437, Resulting Numbers: [437]
437,10 unequal: No Solution
Exploring Operation: 23+19=42, Resulting Numbers: [42]
42,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 10:[10, 52, 1], Operations: ['29/29=1']
Exploring Operation: 52-1=51, Resulting Numbers: [10, 51]
Generated Node #0,0,0: 10:[10, 51] Operation: 52-1=51
Exploring Operation: 52-10=42, Resulting Numbers: [1, 42]
Generated Node #0,0,1: 10:[1, 42] Operation: 52-10=42
Exploring Operation: 10*1=10, Resulting Numbers: [52, 10]
Generated Node #0,0,2: 10:[52, 10] Operation: 10*1=10
Moving to Node #0,1,0
Current State: 10:[10, 6], Operations: ['52-29=23', '29-23=6']
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,10 unequal: No Solution
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,10 unequal: No Solution
Exploring Operation: 10+6=16, Resulting Numbers: [16]
16,10 unequal: No Solution
Moving to Node #0,1,2
Current State: 10:[29, 13], Operations: ['52-29=23', '23-10=13']
Exploring Operation: 29-13=16, Resulting Numbers: [16]
16,10 unequal: No Solution
Exploring Operation: 29*13=377, Resulting Numbers: [377]
377,10 unequal: No Solution
Exploring Operation: 29+13=42, Resulting Numbers: [42]
42,10 unequal: No Solution
Moving to Node #0,1,1
Current State: 10:[23, 19], Operations: ['52-29=23', '29-10=19']
Exploring Operation: 23*19=437, Resulting Numbers: [437]
437,10 unequal: No Solution
Exploring Operation: 23-19=4, Resulting Numbers: [4]
4,10 unequal: No Solution
Exploring Operation: 23+19=42, Resulting Numbers: [42]
42,10 unequal: No Solution
Moving to Node #0,0,1
Current State: 10:[1, 42], Operations: ['29/29=1', '52-10=42']
Exploring Operation: 42-1=41, Resulting Numbers: [41]
41,10 unequal: No Solution
Exploring Operation: 42/1=42, Resulting Numbers: [42]
42,10 unequal: No Solution
Exploring Operation: 1*42=42, Resulting Numbers: [42]
42,10 unequal: No Solution
Moving to Node #0,0,0
Current State: 10:[10, 51], Operations: ['29/29=1', '52-1=51']
Exploring Operation: 51-10=41, Resulting Numbers: [41]
41,10 unequal: No Solution
Exploring Operation: 10*51=510, Resulting Numbers: [510]
510,10 unequal: No Solution
Exploring Operation: 10+51=61, Resulting Numbers: [61]
61,10 unequal: No Solution
Moving to Node #0,0,2
Current State: 10:[52, 10], Operations: ['29/29=1', '10*1=10']
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,10 unequal: No Solution
Exploring Operation: 52*10=520, Resulting Numbers: [520]
520,10 unequal: No Solution
Exploring Operation: 52+10=62, Resulting Numbers: [62]
62,10 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
90,
8,
89,
52
] | 43 | [
"90+8=98",
"89+52=141",
"141-98=43"
] | Current State: 43:[90, 8, 89, 52], Operations: []
Exploring Operation: 90+8=98, Resulting Numbers: [89, 52, 98]
Generated Node #2: [89, 52, 98] from Operation: 90+8=98
Current State: 43:[89, 52, 98], Operations: ['90+8=98']
Exploring Operation: 89+52=141, Resulting Numbers: [98, 141]
Generated Node #3: [98, 141] from Operation: 89+52=141
Current State: 43:[98, 141], Operations: ['90+8=98', '89+52=141']
Exploring Operation: 141-98=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[90, 8, 89, 52], Operations: []
Exploring Operation: 90-89=1, Resulting Numbers: [8, 52, 1]
Generated Node #0,0: 43:[8, 52, 1] Operation: 90-89=1
Exploring Operation: 89-52=37, Resulting Numbers: [90, 8, 37]
Generated Node #0,1: 43:[90, 8, 37] Operation: 89-52=37
Exploring Operation: 90-52=38, Resulting Numbers: [8, 89, 38]
Generated Node #0,2: 43:[8, 89, 38] Operation: 90-52=38
Moving to Node #0,0
Current State: 43:[8, 52, 1], Operations: ['90-89=1']
Exploring Operation: 52-1=51, Resulting Numbers: [8, 51]
Generated Node #0,0,0: 43:[8, 51] Operation: 52-1=51
Exploring Operation: 52-8=44, Resulting Numbers: [1, 44]
Generated Node #0,0,1: 43:[1, 44] Operation: 52-8=44
Exploring Operation: 8+1=9, Resulting Numbers: [52, 9]
Generated Node #0,0,2: 43:[52, 9] Operation: 8+1=9
Moving to Node #0,2
Current State: 43:[8, 89, 38], Operations: ['90-52=38']
Exploring Operation: 89-38=51, Resulting Numbers: [8, 51]
Generated Node #0,2,0: 43:[8, 51] Operation: 89-38=51
Exploring Operation: 8+38=46, Resulting Numbers: [89, 46]
Generated Node #0,2,1: 43:[89, 46] Operation: 8+38=46
Exploring Operation: 89-8=81, Resulting Numbers: [38, 81]
Generated Node #0,2,2: 43:[38, 81] Operation: 89-8=81
Moving to Node #0,1
Current State: 43:[90, 8, 37], Operations: ['89-52=37']
Exploring Operation: 8+37=45, Resulting Numbers: [90, 45]
Generated Node #0,1,0: 43:[90, 45] Operation: 8+37=45
Exploring Operation: 90-37=53, Resulting Numbers: [8, 53]
Generated Node #0,1,1: 43:[8, 53] Operation: 90-37=53
Exploring Operation: 90-8=82, Resulting Numbers: [37, 82]
Generated Node #0,1,2: 43:[37, 82] Operation: 90-8=82
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 43:[8, 53], Operations: ['89-52=37', '90-37=53']
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,43 unequal: No Solution
Exploring Operation: 8*53=424, Resulting Numbers: [424]
424,43 unequal: No Solution
Exploring Operation: 8+53=61, Resulting Numbers: [61]
61,43 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 #0,1,2
Current State: 43:[37, 82], Operations: ['89-52=37', '90-8=82']
Exploring Operation: 82-37=45, Resulting Numbers: [45]
45,43 unequal: No Solution
Exploring Operation: 37*82=3034, Resulting Numbers: [3034]
3034,43 unequal: No Solution
Exploring Operation: 37+82=119, Resulting Numbers: [119]
119,43 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 #0,1,0
Current State: 43:[90, 45], Operations: ['89-52=37', '8+37=45']
Exploring Operation: 90/45=2, Resulting Numbers: [2]
2,43 unequal: No Solution
Exploring Operation: 90+45=135, Resulting Numbers: [135]
135,43 unequal: No Solution
Exploring Operation: 90-45=45, Resulting Numbers: [45]
45,43 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: 43:[8, 51], Operations: ['90-89=1', '52-1=51']
Exploring Operation: 8+51=59, Resulting Numbers: [59]
59,43 unequal: No Solution
Exploring Operation: 8*51=408, Resulting Numbers: [408]
408,43 unequal: No Solution
Exploring Operation: 51-8=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[90, 8, 89, 52], Operations: []
Exploring Operation: 90-89=1, Resulting Numbers: [8, 52, 1]
Generated Node #0,0: 43:[8, 52, 1] Operation: 90-89=1
Moving to Node #0,0
Current State: 43:[8, 52, 1], Operations: ['90-89=1']
Exploring Operation: 52-1=51, Resulting Numbers: [8, 51]
Generated Node #0,0,0: 43:[8, 51] Operation: 52-1=51
Moving to Node #0,0,0
Current State: 43:[8, 51], Operations: ['90-89=1', '52-1=51']
Exploring Operation: 51-8=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 0.975694 | hs_3 | sum_heuristic |
[
66,
73,
51,
94
] | 91 | [
"73-51=22",
"66/22=3",
"94-3=91"
] | Current State: 91:[66, 73, 51, 94], Operations: []
Exploring Operation: 73-51=22, Resulting Numbers: [66, 94, 22]
Generated Node #2: [66, 94, 22] from Operation: 73-51=22
Current State: 91:[66, 94, 22], Operations: ['73-51=22']
Exploring Operation: 66/22=3, Resulting Numbers: [94, 3]
Generated Node #3: [94, 3] from Operation: 66/22=3
Current State: 91:[94, 3], Operations: ['73-51=22', '66/22=3']
Exploring Operation: 94-3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[66, 73, 51, 94], Operations: []
Exploring Operation: 73-51=22, Resulting Numbers: [66, 94, 22]
Generated Node #0,0: 91:[66, 94, 22] Operation: 73-51=22
Exploring Operation: 66-51=15, Resulting Numbers: [73, 94, 15]
Generated Node #0,1: 91:[73, 94, 15] Operation: 66-51=15
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[73, 94, 15], Operations: ['66-51=15']
Exploring Operation: 94-73=21, Resulting Numbers: [15, 21]
Generated Node #0,1,0: 91:[15, 21] Operation: 94-73=21
Exploring Operation: 73+15=88, Resulting Numbers: [94, 88]
Generated Node #0,1,1: 91:[94, 88] Operation: 73+15=88
Moving to Node #0,1,1
Current State: 91:[94, 88], Operations: ['66-51=15', '73+15=88']
Exploring Operation: 94+88=182, Resulting Numbers: [182]
182,91 unequal: No Solution
Exploring Operation: 94-88=6, Resulting Numbers: [6]
6,91 unequal: No Solution
Moving to Node #0,1,0
Current State: 91:[15, 21], Operations: ['66-51=15', '94-73=21']
Exploring Operation: 15+21=36, Resulting Numbers: [36]
36,91 unequal: No Solution
Exploring Operation: 21-15=6, Resulting Numbers: [6]
6,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[66, 94, 22], Operations: ['73-51=22']
Exploring Operation: 66+22=88, Resulting Numbers: [94, 88]
Generated Node #0,0,0: 91:[94, 88] Operation: 66+22=88
Exploring Operation: 66/22=3, Resulting Numbers: [94, 3]
Generated Node #0,0,1: 91:[94, 3] Operation: 66/22=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 91:[94, 88], Operations: ['73-51=22', '66+22=88']
Exploring Operation: 94+88=182, Resulting Numbers: [182]
182,91 unequal: No Solution
Exploring Operation: 94-88=6, Resulting Numbers: [6]
6,91 unequal: No Solution
No 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: 91:[94, 3], Operations: ['73-51=22', '66/22=3']
Exploring Operation: 94-3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[66, 73, 51, 94], Operations: []
Exploring Operation: 73-51=22, Resulting Numbers: [66, 94, 22]
Generated Node #0,0: 91:[66, 94, 22] Operation: 73-51=22
Moving to Node #0,0
Current State: 91:[66, 94, 22], Operations: ['73-51=22']
Exploring Operation: 66/22=3, Resulting Numbers: [94, 3]
Generated Node #0,0,1: 91:[94, 3] Operation: 66/22=3
Moving to Node #0,0,1
Current State: 91:[94, 3], Operations: ['73-51=22', '66/22=3']
Exploring Operation: 94-3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_2 | sum_heuristic |
[
67,
47,
8,
93
] | 27 | [
"67+93=160",
"160/8=20",
"47-20=27"
] | Current State: 27:[67, 47, 8, 93], Operations: []
Exploring Operation: 67+93=160, Resulting Numbers: [47, 8, 160]
Generated Node #2: [47, 8, 160] from Operation: 67+93=160
Current State: 27:[47, 8, 160], Operations: ['67+93=160']
Exploring Operation: 160/8=20, Resulting Numbers: [47, 20]
Generated Node #3: [47, 20] from Operation: 160/8=20
Current State: 27:[47, 20], Operations: ['67+93=160', '160/8=20']
Exploring Operation: 47-20=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[67, 47, 8, 93], Operations: []
Exploring Operation: 47-8=39, Resulting Numbers: [67, 93, 39]
Generated Node #0,0: 27:[67, 93, 39] Operation: 47-8=39
Exploring Operation: 93-67=26, Resulting Numbers: [47, 8, 26]
Generated Node #0,1: 27:[47, 8, 26] Operation: 93-67=26
Exploring Operation: 67-47=20, Resulting Numbers: [8, 93, 20]
Generated Node #0,2: 27:[8, 93, 20] Operation: 67-47=20
Exploring Operation: 93-47=46, Resulting Numbers: [67, 8, 46]
Generated Node #0,3: 27:[67, 8, 46] Operation: 93-47=46
Exploring Operation: 67-8=59, Resulting Numbers: [47, 93, 59]
Generated Node #0,4: 27:[47, 93, 59] Operation: 67-8=59
Moving to Node #0,1
Current State: 27:[47, 8, 26], Operations: ['93-67=26']
Exploring Operation: 26-8=18, Resulting Numbers: [47, 18]
Generated Node #0,1,0: 27:[47, 18] Operation: 26-8=18
Exploring Operation: 47+8=55, Resulting Numbers: [26, 55]
Generated Node #0,1,1: 27:[26, 55] Operation: 47+8=55
Exploring Operation: 47-26=21, Resulting Numbers: [8, 21]
Generated Node #0,1,2: 27:[8, 21] Operation: 47-26=21
Exploring Operation: 8+26=34, Resulting Numbers: [47, 34]
Generated Node #0,1,3: 27:[47, 34] Operation: 8+26=34
Exploring Operation: 47-8=39, Resulting Numbers: [26, 39]
Generated Node #0,1,4: 27:[26, 39] Operation: 47-8=39
Moving to Node #0,3
Current State: 27:[67, 8, 46], Operations: ['93-47=46']
Exploring Operation: 8+46=54, Resulting Numbers: [67, 54]
Generated Node #0,3,0: 27:[67, 54] Operation: 8+46=54
Exploring Operation: 67-8=59, Resulting Numbers: [46, 59]
Generated Node #0,3,1: 27:[46, 59] Operation: 67-8=59
Exploring Operation: 46-8=38, Resulting Numbers: [67, 38]
Generated Node #0,3,2: 27:[67, 38] Operation: 46-8=38
Exploring Operation: 67-46=21, Resulting Numbers: [8, 21]
Generated Node #0,3,3: 27:[8, 21] Operation: 67-46=21
Exploring Operation: 67+8=75, Resulting Numbers: [46, 75]
Generated Node #0,3,4: 27:[46, 75] Operation: 67+8=75
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 27:[8, 21], Operations: ['93-47=46', '67-46=21']
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Exploring Operation: 8+21=29, Resulting Numbers: [29]
29,27 unequal: No Solution
Exploring Operation: 8*21=168, Resulting Numbers: [168]
168,27 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 #0,3,1
Current State: 27:[46, 59], Operations: ['93-47=46', '67-8=59']
Exploring Operation: 46*59=2714, Resulting Numbers: [2714]
2714,27 unequal: No Solution
Exploring Operation: 59-46=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Exploring Operation: 46+59=105, Resulting Numbers: [105]
105,27 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 #0,3,2
Current State: 27:[67, 38], Operations: ['93-47=46', '46-8=38']
Exploring Operation: 67+38=105, Resulting Numbers: [105]
105,27 unequal: No Solution
Exploring Operation: 67*38=2546, Resulting Numbers: [2546]
2546,27 unequal: No Solution
Exploring Operation: 67-38=29, Resulting Numbers: [29]
29,27 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 #0,3,0
Current State: 27:[67, 54], Operations: ['93-47=46', '8+46=54']
Exploring Operation: 67*54=3618, Resulting Numbers: [3618]
3618,27 unequal: No Solution
Exploring Operation: 67+54=121, Resulting Numbers: [121]
121,27 unequal: No Solution
Exploring Operation: 67-54=13, Resulting Numbers: [13]
13,27 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 #0,3,4
Current State: 27:[46, 75], Operations: ['93-47=46', '67+8=75']
Exploring Operation: 75-46=29, Resulting Numbers: [29]
29,27 unequal: No Solution
Exploring Operation: 46*75=3450, Resulting Numbers: [3450]
3450,27 unequal: No Solution
Exploring Operation: 46+75=121, Resulting Numbers: [121]
121,27 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: 27:[8, 93, 20], Operations: ['67-47=20']
Exploring Operation: 8+20=28, Resulting Numbers: [93, 28]
Generated Node #0,2,0: 27:[93, 28] Operation: 8+20=28
Exploring Operation: 20-8=12, Resulting Numbers: [93, 12]
Generated Node #0,2,1: 27:[93, 12] Operation: 20-8=12
Exploring Operation: 8+93=101, Resulting Numbers: [20, 101]
Generated Node #0,2,2: 27:[20, 101] Operation: 8+93=101
Exploring Operation: 93-20=73, Resulting Numbers: [8, 73]
Generated Node #0,2,3: 27:[8, 73] Operation: 93-20=73
Exploring Operation: 93-8=85, Resulting Numbers: [20, 85]
Generated Node #0,2,4: 27:[20, 85] Operation: 93-8=85
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 27:[8, 73], Operations: ['67-47=20', '93-20=73']
Exploring Operation: 8+73=81, Resulting Numbers: [81]
81,27 unequal: No Solution
Exploring Operation: 73-8=65, Resulting Numbers: [65]
65,27 unequal: No Solution
Exploring Operation: 8*73=584, Resulting Numbers: [584]
584,27 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 #0,2,4
Current State: 27:[20, 85], Operations: ['67-47=20', '93-8=85']
Exploring Operation: 20+85=105, Resulting Numbers: [105]
105,27 unequal: No Solution
Exploring Operation: 20*85=1700, Resulting Numbers: [1700]
1700,27 unequal: No Solution
Exploring Operation: 85-20=65, Resulting Numbers: [65]
65,27 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 #0,2,0
Current State: 27:[93, 28], Operations: ['67-47=20', '8+20=28']
Exploring Operation: 93+28=121, Resulting Numbers: [121]
121,27 unequal: No Solution
Exploring Operation: 93-28=65, Resulting Numbers: [65]
65,27 unequal: No Solution
Exploring Operation: 93*28=2604, Resulting Numbers: [2604]
2604,27 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 #0,2,1
Current State: 27:[93, 12], Operations: ['67-47=20', '20-8=12']
Exploring Operation: 93+12=105, Resulting Numbers: [105]
105,27 unequal: No Solution
Exploring Operation: 93-12=81, Resulting Numbers: [81]
81,27 unequal: No Solution
Exploring Operation: 93*12=1116, Resulting Numbers: [1116]
1116,27 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 #0,2,2
Current State: 27:[20, 101], Operations: ['67-47=20', '8+93=101']
Exploring Operation: 101-20=81, Resulting Numbers: [81]
81,27 unequal: No Solution
Exploring Operation: 20*101=2020, Resulting Numbers: [2020]
2020,27 unequal: No Solution
Exploring Operation: 20+101=121, Resulting Numbers: [121]
121,27 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: 27:[67, 93, 39], Operations: ['47-8=39']
Exploring Operation: 67+39=106, Resulting Numbers: [93, 106]
Generated Node #0,0,0: 27:[93, 106] Operation: 67+39=106
Exploring Operation: 67-39=28, Resulting Numbers: [93, 28]
Generated Node #0,0,1: 27:[93, 28] Operation: 67-39=28
Exploring Operation: 93-67=26, Resulting Numbers: [39, 26]
Generated Node #0,0,2: 27:[39, 26] Operation: 93-67=26
Exploring Operation: 93-39=54, Resulting Numbers: [67, 54]
Generated Node #0,0,3: 27:[67, 54] Operation: 93-39=54
Exploring Operation: 67+93=160, Resulting Numbers: [39, 160]
Generated Node #0,0,4: 27:[39, 160] Operation: 67+93=160
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 27:[39, 26], Operations: ['47-8=39', '93-67=26']
Exploring Operation: 39-26=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Exploring Operation: 39+26=65, Resulting Numbers: [65]
65,27 unequal: No Solution
Exploring Operation: 39*26=1014, Resulting Numbers: [1014]
1014,27 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 #0,0,1
Current State: 27:[93, 28], Operations: ['47-8=39', '67-39=28']
Exploring Operation: 93+28=121, Resulting Numbers: [121]
121,27 unequal: No Solution
Exploring Operation: 93-28=65, Resulting Numbers: [65]
65,27 unequal: No Solution
Exploring Operation: 93*28=2604, Resulting Numbers: [2604]
2604,27 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 #0,0,3
Current State: 27:[67, 54], Operations: ['47-8=39', '93-39=54']
Exploring Operation: 67+54=121, Resulting Numbers: [121]
121,27 unequal: No Solution
Exploring Operation: 67-54=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Exploring Operation: 67*54=3618, Resulting Numbers: [3618]
3618,27 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 #0,0,0
Current State: 27:[93, 106], Operations: ['47-8=39', '67+39=106']
Exploring Operation: 93*106=9858, Resulting Numbers: [9858]
9858,27 unequal: No Solution
Exploring Operation: 93+106=199, Resulting Numbers: [199]
199,27 unequal: No Solution
Exploring Operation: 106-93=13, Resulting Numbers: [13]
13,27 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 #0,0,4
Current State: 27:[39, 160], Operations: ['47-8=39', '67+93=160']
Exploring Operation: 160-39=121, Resulting Numbers: [121]
121,27 unequal: No Solution
Exploring Operation: 39+160=199, Resulting Numbers: [199]
199,27 unequal: No Solution
Exploring Operation: 39*160=6240, Resulting Numbers: [6240]
6240,27 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: 27:[47, 93, 59], Operations: ['67-8=59']
Exploring Operation: 59-47=12, Resulting Numbers: [93, 12]
Generated Node #0,4,0: 27:[93, 12] Operation: 59-47=12
Exploring Operation: 47+93=140, Resulting Numbers: [59, 140]
Generated Node #0,4,1: 27:[59, 140] Operation: 47+93=140
Exploring Operation: 93-47=46, Resulting Numbers: [59, 46]
Generated Node #0,4,2: 27:[59, 46] Operation: 93-47=46
Exploring Operation: 47+59=106, Resulting Numbers: [93, 106]
Generated Node #0,4,3: 27:[93, 106] Operation: 47+59=106
Exploring Operation: 93-59=34, Resulting Numbers: [47, 34]
Generated Node #0,4,4: 27:[47, 34] Operation: 93-59=34
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 27:[47, 34], Operations: ['67-8=59', '93-59=34']
Exploring Operation: 47*34=1598, Resulting Numbers: [1598]
1598,27 unequal: No Solution
Exploring Operation: 47-34=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Exploring Operation: 47+34=81, Resulting Numbers: [81]
81,27 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 #0,4,2
Current State: 27:[59, 46], Operations: ['67-8=59', '93-47=46']
Exploring Operation: 59+46=105, Resulting Numbers: [105]
105,27 unequal: No Solution
Exploring Operation: 59-46=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Exploring Operation: 59*46=2714, Resulting Numbers: [2714]
2714,27 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 #0,4,0
Current State: 27:[93, 12], Operations: ['67-8=59', '59-47=12']
Exploring Operation: 93*12=1116, Resulting Numbers: [1116]
1116,27 unequal: No Solution
Exploring Operation: 93-12=81, Resulting Numbers: [81]
81,27 unequal: No Solution
Exploring Operation: 93+12=105, Resulting Numbers: [105]
105,27 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 #0,4,1
Current State: 27:[59, 140], Operations: ['67-8=59', '47+93=140']
Exploring Operation: 59+140=199, Resulting Numbers: [199]
199,27 unequal: No Solution
Exploring Operation: 140-59=81, Resulting Numbers: [81]
81,27 unequal: No Solution
Exploring Operation: 59*140=8260, Resulting Numbers: [8260]
8260,27 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 #0,4,3
Current State: 27:[93, 106], Operations: ['67-8=59', '47+59=106']
Exploring Operation: 106-93=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Exploring Operation: 93*106=9858, Resulting Numbers: [9858]
9858,27 unequal: No Solution
Exploring Operation: 93+106=199, Resulting Numbers: [199]
199,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 27:[8, 21], Operations: ['93-67=26', '47-26=21']
Exploring Operation: 8*21=168, Resulting Numbers: [168]
168,27 unequal: No Solution
Exploring Operation: 8+21=29, Resulting Numbers: [29]
29,27 unequal: No Solution
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Moving to Node #0,1,4
Current State: 27:[26, 39], Operations: ['93-67=26', '47-8=39']
Exploring Operation: 39-26=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Exploring Operation: 26+39=65, Resulting Numbers: [65]
65,27 unequal: No Solution
Exploring Operation: 26*39=1014, Resulting Numbers: [1014]
1014,27 unequal: No Solution
Moving to Node #0,1,3
Current State: 27:[47, 34], Operations: ['93-67=26', '8+26=34']
Exploring Operation: 47-34=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Exploring Operation: 47*34=1598, Resulting Numbers: [1598]
1598,27 unequal: No Solution
Exploring Operation: 47+34=81, Resulting Numbers: [81]
81,27 unequal: No Solution
Moving to Node #0,1,0
Current State: 27:[47, 18], Operations: ['93-67=26', '26-8=18']
Exploring Operation: 47+18=65, Resulting Numbers: [65]
65,27 unequal: No Solution
Exploring Operation: 47-18=29, Resulting Numbers: [29]
29,27 unequal: No Solution
Exploring Operation: 47*18=846, Resulting Numbers: [846]
846,27 unequal: No Solution
Moving to Node #0,1,1
Current State: 27:[26, 55], Operations: ['93-67=26', '47+8=55']
Exploring Operation: 26*55=1430, Resulting Numbers: [1430]
1430,27 unequal: No Solution
Exploring Operation: 26+55=81, Resulting Numbers: [81]
81,27 unequal: No Solution
Exploring Operation: 55-26=29, Resulting Numbers: [29]
29,27 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
63,
20,
5,
9
] | 93 | [
"63/9=7",
"20*5=100",
"100-7=93"
] | Current State: 93:[63, 20, 5, 9], Operations: []
Exploring Operation: 63/9=7, Resulting Numbers: [20, 5, 7]
Generated Node #2: [20, 5, 7] from Operation: 63/9=7
Current State: 93:[20, 5, 7], Operations: ['63/9=7']
Exploring Operation: 20*5=100, Resulting Numbers: [7, 100]
Generated Node #3: [7, 100] from Operation: 20*5=100
Current State: 93:[7, 100], Operations: ['63/9=7', '20*5=100']
Exploring Operation: 100-7=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[63, 20, 5, 9], Operations: []
Exploring Operation: 63+9=72, Resulting Numbers: [20, 5, 72]
Generated Node #0,0: 93:[20, 5, 72] Operation: 63+9=72
Exploring Operation: 63/9=7, Resulting Numbers: [20, 5, 7]
Generated Node #0,1: 93:[20, 5, 7] Operation: 63/9=7
Exploring Operation: 63-20=43, Resulting Numbers: [5, 9, 43]
Generated Node #0,2: 93:[5, 9, 43] Operation: 63-20=43
Exploring Operation: 20+9=29, Resulting Numbers: [63, 5, 29]
Generated Node #0,3: 93:[63, 5, 29] Operation: 20+9=29
Exploring Operation: 63+20=83, Resulting Numbers: [5, 9, 83]
Generated Node #0,4: 93:[5, 9, 83] Operation: 63+20=83
Moving to Node #0,1
Current State: 93:[20, 5, 7], Operations: ['63/9=7']
Exploring Operation: 20-7=13, Resulting Numbers: [5, 13]
Generated Node #0,1,0: 93:[5, 13] Operation: 20-7=13
Exploring Operation: 20+5=25, Resulting Numbers: [7, 25]
Generated Node #0,1,1: 93:[7, 25] Operation: 20+5=25
Exploring Operation: 20*5=100, Resulting Numbers: [7, 100]
Generated Node #0,1,2: 93:[7, 100] Operation: 20*5=100
Exploring Operation: 20+7=27, Resulting Numbers: [5, 27]
Generated Node #0,1,3: 93:[5, 27] Operation: 20+7=27
Exploring Operation: 20/5=4, Resulting Numbers: [7, 4]
Generated Node #0,1,4: 93:[7, 4] Operation: 20/5=4
Moving to Node #0,4
Current State: 93:[5, 9, 83], Operations: ['63+20=83']
Exploring Operation: 5+9=14, Resulting Numbers: [83, 14]
Generated Node #0,4,0: 93:[83, 14] Operation: 5+9=14
Exploring Operation: 5+83=88, Resulting Numbers: [9, 88]
Generated Node #0,4,1: 93:[9, 88] Operation: 5+83=88
Exploring Operation: 9-5=4, Resulting Numbers: [83, 4]
Generated Node #0,4,2: 93:[83, 4] Operation: 9-5=4
Exploring Operation: 9+83=92, Resulting Numbers: [5, 92]
Generated Node #0,4,3: 93:[5, 92] Operation: 9+83=92
Exploring Operation: 83-5=78, Resulting Numbers: [9, 78]
Generated Node #0,4,4: 93:[9, 78] Operation: 83-5=78
Moving to Node #0,2
Current State: 93:[5, 9, 43], Operations: ['63-20=43']
Exploring Operation: 43-9=34, Resulting Numbers: [5, 34]
Generated Node #0,2,0: 93:[5, 34] Operation: 43-9=34
Exploring Operation: 5+43=48, Resulting Numbers: [9, 48]
Generated Node #0,2,1: 93:[9, 48] Operation: 5+43=48
Exploring Operation: 5+9=14, Resulting Numbers: [43, 14]
Generated Node #0,2,2: 93:[43, 14] Operation: 5+9=14
Exploring Operation: 43-5=38, Resulting Numbers: [9, 38]
Generated Node #0,2,3: 93:[9, 38] Operation: 43-5=38
Exploring Operation: 9-5=4, Resulting Numbers: [43, 4]
Generated Node #0,2,4: 93:[43, 4] Operation: 9-5=4
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 93:[5, 34], Operations: ['63-20=43', '43-9=34']
Exploring Operation: 5+34=39, Resulting Numbers: [39]
39,93 unequal: No Solution
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,93 unequal: No Solution
Exploring Operation: 5*34=170, Resulting Numbers: [170]
170,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 93:[9, 38], Operations: ['63-20=43', '43-5=38']
Exploring Operation: 9+38=47, Resulting Numbers: [47]
47,93 unequal: No Solution
Exploring Operation: 38-9=29, Resulting Numbers: [29]
29,93 unequal: No Solution
Exploring Operation: 9*38=342, Resulting Numbers: [342]
342,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 93:[43, 4], Operations: ['63-20=43', '9-5=4']
Exploring Operation: 43+4=47, Resulting Numbers: [47]
47,93 unequal: No Solution
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,93 unequal: No Solution
Exploring Operation: 43*4=172, Resulting Numbers: [172]
172,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 93:[9, 48], Operations: ['63-20=43', '5+43=48']
Exploring Operation: 9*48=432, Resulting Numbers: [432]
432,93 unequal: No Solution
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,93 unequal: No Solution
Exploring Operation: 9+48=57, Resulting Numbers: [57]
57,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 93:[43, 14], Operations: ['63-20=43', '5+9=14']
Exploring Operation: 43-14=29, Resulting Numbers: [29]
29,93 unequal: No Solution
Exploring Operation: 43*14=602, Resulting Numbers: [602]
602,93 unequal: No Solution
Exploring Operation: 43+14=57, Resulting Numbers: [57]
57,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 93:[20, 5, 72], Operations: ['63+9=72']
Exploring Operation: 72-20=52, Resulting Numbers: [5, 52]
Generated Node #0,0,0: 93:[5, 52] Operation: 72-20=52
Exploring Operation: 20+5=25, Resulting Numbers: [72, 25]
Generated Node #0,0,1: 93:[72, 25] Operation: 20+5=25
Exploring Operation: 20/5=4, Resulting Numbers: [72, 4]
Generated Node #0,0,2: 93:[72, 4] Operation: 20/5=4
Exploring Operation: 20+72=92, Resulting Numbers: [5, 92]
Generated Node #0,0,3: 93:[5, 92] Operation: 20+72=92
Exploring Operation: 5+72=77, Resulting Numbers: [20, 77]
Generated Node #0,0,4: 93:[20, 77] Operation: 5+72=77
Moving to Node #0,3
Current State: 93:[63, 5, 29], Operations: ['20+9=29']
Exploring Operation: 63-5=58, Resulting Numbers: [29, 58]
Generated Node #0,3,0: 93:[29, 58] Operation: 63-5=58
Exploring Operation: 63+29=92, Resulting Numbers: [5, 92]
Generated Node #0,3,1: 93:[5, 92] Operation: 63+29=92
Exploring Operation: 63+5=68, Resulting Numbers: [29, 68]
Generated Node #0,3,2: 93:[29, 68] Operation: 63+5=68
Exploring Operation: 5+29=34, Resulting Numbers: [63, 34]
Generated Node #0,3,3: 93:[63, 34] Operation: 5+29=34
Exploring Operation: 63-29=34, Resulting Numbers: [5, 34]
Generated Node #0,3,4: 93:[5, 34] Operation: 63-29=34
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 93:[5, 92], Operations: ['20+9=29', '63+29=92']
Exploring Operation: 5+92=97, Resulting Numbers: [97]
97,93 unequal: No Solution
Exploring Operation: 92-5=87, Resulting Numbers: [87]
87,93 unequal: No Solution
Exploring Operation: 5*92=460, Resulting Numbers: [460]
460,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 93:[5, 34], Operations: ['20+9=29', '63-29=34']
Exploring Operation: 5*34=170, Resulting Numbers: [170]
170,93 unequal: No Solution
Exploring Operation: 5+34=39, Resulting Numbers: [39]
39,93 unequal: No Solution
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 93:[29, 68], Operations: ['20+9=29', '63+5=68']
Exploring Operation: 29*68=1972, Resulting Numbers: [1972]
1972,93 unequal: No Solution
Exploring Operation: 68-29=39, Resulting Numbers: [39]
39,93 unequal: No Solution
Exploring Operation: 29+68=97, Resulting Numbers: [97]
97,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 93:[29, 58], Operations: ['20+9=29', '63-5=58']
Exploring Operation: 29*58=1682, Resulting Numbers: [1682]
1682,93 unequal: No Solution
Exploring Operation: 58/29=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 58-29=29, Resulting Numbers: [29]
29,93 unequal: No Solution
Exploring Operation: 29+58=87, Resulting Numbers: [87]
87,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 93:[63, 34], Operations: ['20+9=29', '5+29=34']
Exploring Operation: 63-34=29, Resulting Numbers: [29]
29,93 unequal: No Solution
Exploring Operation: 63*34=2142, Resulting Numbers: [2142]
2142,93 unequal: No Solution
Exploring Operation: 63+34=97, Resulting Numbers: [97]
97,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,3
Current State: 93:[5, 92], Operations: ['63+20=83', '9+83=92']
Exploring Operation: 5+92=97, Resulting Numbers: [97]
97,93 unequal: No Solution
Exploring Operation: 5*92=460, Resulting Numbers: [460]
460,93 unequal: No Solution
Exploring Operation: 92-5=87, Resulting Numbers: [87]
87,93 unequal: No Solution
Moving to Node #0,0,3
Current State: 93:[5, 92], Operations: ['63+9=72', '20+72=92']
Exploring Operation: 5+92=97, Resulting Numbers: [97]
97,93 unequal: No Solution
Exploring Operation: 5*92=460, Resulting Numbers: [460]
460,93 unequal: No Solution
Exploring Operation: 92-5=87, Resulting Numbers: [87]
87,93 unequal: No Solution
Moving to Node #0,1,4
Current State: 93:[7, 4], Operations: ['63/9=7', '20/5=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,93 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,93 unequal: No Solution
Moving to Node #0,1,3
Current State: 93:[5, 27], Operations: ['63/9=7', '20+7=27']
Exploring Operation: 5*27=135, Resulting Numbers: [135]
135,93 unequal: No Solution
Exploring Operation: 5+27=32, Resulting Numbers: [32]
32,93 unequal: No Solution
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,93 unequal: No Solution
Moving to Node #0,1,1
Current State: 93:[7, 25], Operations: ['63/9=7', '20+5=25']
Exploring Operation: 7*25=175, Resulting Numbers: [175]
175,93 unequal: No Solution
Exploring Operation: 7+25=32, Resulting Numbers: [32]
32,93 unequal: No Solution
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,93 unequal: No Solution
Moving to Node #0,4,1
Current State: 93:[9, 88], Operations: ['63+20=83', '5+83=88']
Exploring Operation: 88-9=79, Resulting Numbers: [79]
79,93 unequal: No Solution
Exploring Operation: 9+88=97, Resulting Numbers: [97]
97,93 unequal: No Solution
Exploring Operation: 9*88=792, Resulting Numbers: [792]
792,93 unequal: No Solution
Moving to Node #0,1,2
Current State: 93:[7, 100], Operations: ['63/9=7', '20*5=100']
Exploring Operation: 100-7=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[63, 20, 5, 9], Operations: []
Exploring Operation: 63/9=7, Resulting Numbers: [20, 5, 7]
Generated Node #0,1: 93:[20, 5, 7] Operation: 63/9=7
Moving to Node #0,1
Current State: 93:[20, 5, 7], Operations: ['63/9=7']
Exploring Operation: 20*5=100, Resulting Numbers: [7, 100]
Generated Node #0,1,2: 93:[7, 100] Operation: 20*5=100
Moving to Node #0,1,2
Current State: 93:[7, 100], Operations: ['63/9=7', '20*5=100']
Exploring Operation: 100-7=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 0.927083 | hs_5 | sum_heuristic |
[
5,
80,
9,
44
] | 19 | [
"80/5=16",
"44-9=35",
"35-16=19"
] | Current State: 19:[5, 80, 9, 44], Operations: []
Exploring Operation: 80/5=16, Resulting Numbers: [9, 44, 16]
Generated Node #2: [9, 44, 16] from Operation: 80/5=16
Current State: 19:[9, 44, 16], Operations: ['80/5=16']
Exploring Operation: 44-9=35, Resulting Numbers: [16, 35]
Generated Node #3: [16, 35] from Operation: 44-9=35
Current State: 19:[16, 35], Operations: ['80/5=16', '44-9=35']
Exploring Operation: 35-16=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[5, 80, 9, 44], Operations: []
Exploring Operation: 80-44=36, Resulting Numbers: [5, 9, 36]
Generated Node #0,0: 19:[5, 9, 36] Operation: 80-44=36
Exploring Operation: 80-5=75, Resulting Numbers: [9, 44, 75]
Generated Node #0,1: 19:[9, 44, 75] Operation: 80-5=75
Exploring Operation: 80/5=16, Resulting Numbers: [9, 44, 16]
Generated Node #0,2: 19:[9, 44, 16] Operation: 80/5=16
Moving to Node #0,2
Current State: 19:[9, 44, 16], Operations: ['80/5=16']
Exploring Operation: 44-16=28, Resulting Numbers: [9, 28]
Generated Node #0,2,0: 19:[9, 28] Operation: 44-16=28
Exploring Operation: 44-9=35, Resulting Numbers: [16, 35]
Generated Node #0,2,1: 19:[16, 35] Operation: 44-9=35
Exploring Operation: 9+16=25, Resulting Numbers: [44, 25]
Generated Node #0,2,2: 19:[44, 25] Operation: 9+16=25
Moving to Node #0,0
Current State: 19:[5, 9, 36], Operations: ['80-44=36']
Exploring Operation: 36-9=27, Resulting Numbers: [5, 27]
Generated Node #0,0,0: 19:[5, 27] Operation: 36-9=27
Exploring Operation: 5+9=14, Resulting Numbers: [36, 14]
Generated Node #0,0,1: 19:[36, 14] Operation: 5+9=14
Exploring Operation: 36-5=31, Resulting Numbers: [9, 31]
Generated Node #0,0,2: 19:[9, 31] Operation: 36-5=31
Moving to Node #0,1
Current State: 19:[9, 44, 75], Operations: ['80-5=75']
Exploring Operation: 44-9=35, Resulting Numbers: [75, 35]
Generated Node #0,1,0: 19:[75, 35] Operation: 44-9=35
Exploring Operation: 75-9=66, Resulting Numbers: [44, 66]
Generated Node #0,1,1: 19:[44, 66] Operation: 75-9=66
Exploring Operation: 75-44=31, Resulting Numbers: [9, 31]
Generated Node #0,1,2: 19:[9, 31] Operation: 75-44=31
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 19:[9, 31], Operations: ['80-5=75', '75-44=31']
Exploring Operation: 31-9=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 9*31=279, Resulting Numbers: [279]
279,19 unequal: No Solution
Exploring Operation: 9+31=40, Resulting Numbers: [40]
40,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 19:[75, 35], Operations: ['80-5=75', '44-9=35']
Exploring Operation: 75-35=40, Resulting Numbers: [40]
40,19 unequal: No Solution
Exploring Operation: 75*35=2625, Resulting Numbers: [2625]
2625,19 unequal: No Solution
Exploring Operation: 75+35=110, Resulting Numbers: [110]
110,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 19:[44, 66], Operations: ['80-5=75', '75-9=66']
Exploring Operation: 44*66=2904, Resulting Numbers: [2904]
2904,19 unequal: No Solution
Exploring Operation: 44+66=110, Resulting Numbers: [110]
110,19 unequal: No Solution
Exploring Operation: 66-44=22, Resulting Numbers: [22]
22,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 19:[9, 28], Operations: ['80/5=16', '44-16=28']
Exploring Operation: 9*28=252, Resulting Numbers: [252]
252,19 unequal: No Solution
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[5, 80, 9, 44], Operations: []
Exploring Operation: 80/5=16, Resulting Numbers: [9, 44, 16]
Generated Node #0,2: 19:[9, 44, 16] Operation: 80/5=16
Moving to Node #0,2
Current State: 19:[9, 44, 16], Operations: ['80/5=16']
Exploring Operation: 44-16=28, Resulting Numbers: [9, 28]
Generated Node #0,2,0: 19:[9, 28] Operation: 44-16=28
Moving to Node #0,2,0
Current State: 19:[9, 28], Operations: ['80/5=16', '44-16=28']
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 0.976563 | hs_3 | sum_heuristic |
[
3,
69,
29,
2
] | 75 | [
"69/3=23",
"2*23=46",
"29+46=75"
] | Current State: 75:[3, 69, 29, 2], Operations: []
Exploring Operation: 69/3=23, Resulting Numbers: [29, 2, 23]
Generated Node #2: [29, 2, 23] from Operation: 69/3=23
Current State: 75:[29, 2, 23], Operations: ['69/3=23']
Exploring Operation: 2*23=46, Resulting Numbers: [29, 46]
Generated Node #3: [29, 46] from Operation: 2*23=46
Current State: 75:[29, 46], Operations: ['69/3=23', '2*23=46']
Exploring Operation: 29+46=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[3, 69, 29, 2], Operations: []
Exploring Operation: 69/3=23, Resulting Numbers: [29, 2, 23]
Generated Node #0,0: 75:[29, 2, 23] Operation: 69/3=23
Exploring Operation: 3+69=72, Resulting Numbers: [29, 2, 72]
Generated Node #0,1: 75:[29, 2, 72] Operation: 3+69=72
Moving to Node #0,0
Current State: 75:[29, 2, 23], Operations: ['69/3=23']
Exploring Operation: 29-23=6, Resulting Numbers: [2, 6]
Generated Node #0,0,0: 75:[2, 6] Operation: 29-23=6
Exploring Operation: 29-2=27, Resulting Numbers: [23, 27]
Generated Node #0,0,1: 75:[23, 27] Operation: 29-2=27
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 75:[2, 6], Operations: ['69/3=23', '29-23=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 75:[23, 27], Operations: ['69/3=23', '29-2=27']
Exploring Operation: 27-23=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 23+27=50, Resulting Numbers: [50]
50,75 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: 75:[29, 2, 72], Operations: ['3+69=72']
Exploring Operation: 29-2=27, Resulting Numbers: [72, 27]
Generated Node #0,1,0: 75:[72, 27] Operation: 29-2=27
Exploring Operation: 2+72=74, Resulting Numbers: [29, 74]
Generated Node #0,1,1: 75:[29, 74] Operation: 2+72=74
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 75:[72, 27], Operations: ['3+69=72', '29-2=27']
Exploring Operation: 72-27=45, Resulting Numbers: [45]
45,75 unequal: No Solution
Exploring Operation: 72+27=99, Resulting Numbers: [99]
99,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 75:[29, 74], Operations: ['3+69=72', '2+72=74']
Exploring Operation: 29+74=103, Resulting Numbers: [103]
103,75 unequal: No Solution
Exploring Operation: 74-29=45, Resulting Numbers: [45]
45,75 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 |
[
20,
53,
48,
68
] | 43 | [
"20+53=73",
"48+68=116",
"116-73=43"
] | Current State: 43:[20, 53, 48, 68], Operations: []
Exploring Operation: 20+53=73, Resulting Numbers: [48, 68, 73]
Generated Node #2: [48, 68, 73] from Operation: 20+53=73
Current State: 43:[48, 68, 73], Operations: ['20+53=73']
Exploring Operation: 48+68=116, Resulting Numbers: [73, 116]
Generated Node #3: [73, 116] from Operation: 48+68=116
Current State: 43:[73, 116], Operations: ['20+53=73', '48+68=116']
Exploring Operation: 116-73=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[20, 53, 48, 68], Operations: []
Exploring Operation: 68-20=48, Resulting Numbers: [53, 48, 48]
Generated Node #0,0: 43:[53, 48, 48] Operation: 68-20=48
Exploring Operation: 53-20=33, Resulting Numbers: [48, 68, 33]
Generated Node #0,1: 43:[48, 68, 33] Operation: 53-20=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[53, 48, 48], Operations: ['68-20=48']
Exploring Operation: 53-48=5, Resulting Numbers: [48, 5]
Generated Node #0,0,0: 43:[48, 5] Operation: 53-48=5
Exploring Operation: 53-48=5, Resulting Numbers: [48, 5]
Generated Node #0,0,1: 43:[48, 5] Operation: 53-48=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 43:[48, 5], Operations: ['68-20=48', '53-48=5']
Exploring Operation: 48-5=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[20, 53, 48, 68], Operations: []
Exploring Operation: 68-20=48, Resulting Numbers: [53, 48, 48]
Generated Node #0,0: 43:[53, 48, 48] Operation: 68-20=48
Moving to Node #0,0
Current State: 43:[53, 48, 48], Operations: ['68-20=48']
Exploring Operation: 53-48=5, Resulting Numbers: [48, 5]
Generated Node #0,0,0: 43:[48, 5] Operation: 53-48=5
Moving to Node #0,0,0
Current State: 43:[48, 5], Operations: ['68-20=48', '53-48=5']
Exploring Operation: 48-5=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
7,
91,
12,
29
] | 28 | [
"91/7=13",
"12+29=41",
"41-13=28"
] | Current State: 28:[7, 91, 12, 29], Operations: []
Exploring Operation: 91/7=13, Resulting Numbers: [12, 29, 13]
Generated Node #2: [12, 29, 13] from Operation: 91/7=13
Current State: 28:[12, 29, 13], Operations: ['91/7=13']
Exploring Operation: 12+29=41, Resulting Numbers: [13, 41]
Generated Node #3: [13, 41] from Operation: 12+29=41
Current State: 28:[13, 41], Operations: ['91/7=13', '12+29=41']
Exploring Operation: 41-13=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[7, 91, 12, 29], Operations: []
Exploring Operation: 91-12=79, Resulting Numbers: [7, 29, 79]
Generated Node #0,0: 28:[7, 29, 79] Operation: 91-12=79
Exploring Operation: 91-29=62, Resulting Numbers: [7, 12, 62]
Generated Node #0,1: 28:[7, 12, 62] Operation: 91-29=62
Exploring Operation: 91/7=13, Resulting Numbers: [12, 29, 13]
Generated Node #0,2: 28:[12, 29, 13] Operation: 91/7=13
Moving to Node #0,2
Current State: 28:[12, 29, 13], Operations: ['91/7=13']
Exploring Operation: 29-12=17, Resulting Numbers: [13, 17]
Generated Node #0,2,0: 28:[13, 17] Operation: 29-12=17
Exploring Operation: 13-12=1, Resulting Numbers: [29, 1]
Generated Node #0,2,1: 28:[29, 1] Operation: 13-12=1
Exploring Operation: 12+13=25, Resulting Numbers: [29, 25]
Generated Node #0,2,2: 28:[29, 25] Operation: 12+13=25
Moving to Node #0,1
Current State: 28:[7, 12, 62], Operations: ['91-29=62']
Exploring Operation: 62-12=50, Resulting Numbers: [7, 50]
Generated Node #0,1,0: 28:[7, 50] Operation: 62-12=50
Exploring Operation: 12-7=5, Resulting Numbers: [62, 5]
Generated Node #0,1,1: 28:[62, 5] Operation: 12-7=5
Exploring Operation: 62-7=55, Resulting Numbers: [12, 55]
Generated Node #0,1,2: 28:[12, 55] Operation: 62-7=55
Moving to Node #0,0
Current State: 28:[7, 29, 79], Operations: ['91-12=79']
Exploring Operation: 79-29=50, Resulting Numbers: [7, 50]
Generated Node #0,0,0: 28:[7, 50] Operation: 79-29=50
Exploring Operation: 29-7=22, Resulting Numbers: [79, 22]
Generated Node #0,0,1: 28:[79, 22] Operation: 29-7=22
Exploring Operation: 79-7=72, Resulting Numbers: [29, 72]
Generated Node #0,0,2: 28:[29, 72] Operation: 79-7=72
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 28:[7, 50], Operations: ['91-12=79', '79-29=50']
Exploring Operation: 7+50=57, Resulting Numbers: [57]
57,28 unequal: No Solution
Exploring Operation: 50-7=43, Resulting Numbers: [43]
43,28 unequal: No Solution
Exploring Operation: 7*50=350, Resulting Numbers: [350]
350,28 unequal: No Solution
No 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: 28:[29, 72], Operations: ['91-12=79', '79-7=72']
Exploring Operation: 29*72=2088, Resulting Numbers: [2088]
2088,28 unequal: No Solution
Exploring Operation: 72-29=43, Resulting Numbers: [43]
43,28 unequal: No Solution
Exploring Operation: 29+72=101, Resulting Numbers: [101]
101,28 unequal: No Solution
No 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: 28:[79, 22], Operations: ['91-12=79', '29-7=22']
Exploring Operation: 79*22=1738, Resulting Numbers: [1738]
1738,28 unequal: No Solution
Exploring Operation: 79-22=57, Resulting Numbers: [57]
57,28 unequal: No Solution
Exploring Operation: 79+22=101, Resulting Numbers: [101]
101,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 28:[29, 1], Operations: ['91/7=13', '13-12=1']
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[7, 91, 12, 29], Operations: []
Exploring Operation: 91/7=13, Resulting Numbers: [12, 29, 13]
Generated Node #0,2: 28:[12, 29, 13] Operation: 91/7=13
Moving to Node #0,2
Current State: 28:[12, 29, 13], Operations: ['91/7=13']
Exploring Operation: 13-12=1, Resulting Numbers: [29, 1]
Generated Node #0,2,1: 28:[29, 1] Operation: 13-12=1
Moving to Node #0,2,1
Current State: 28:[29, 1], Operations: ['91/7=13', '13-12=1']
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 0.977431 | hs_3 | sum_heuristic |
[
27,
81,
40,
88
] | 16 | [
"81/27=3",
"88-40=48",
"48/3=16"
] | Current State: 16:[27, 81, 40, 88], Operations: []
Exploring Operation: 81/27=3, Resulting Numbers: [40, 88, 3]
Generated Node #2: [40, 88, 3] from Operation: 81/27=3
Current State: 16:[40, 88, 3], Operations: ['81/27=3']
Exploring Operation: 88-40=48, Resulting Numbers: [3, 48]
Generated Node #3: [3, 48] from Operation: 88-40=48
Current State: 16:[3, 48], Operations: ['81/27=3', '88-40=48']
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[27, 81, 40, 88], Operations: []
Exploring Operation: 81-40=41, Resulting Numbers: [27, 88, 41]
Generated Node #0,0: 16:[27, 88, 41] Operation: 81-40=41
Exploring Operation: 81/27=3, Resulting Numbers: [40, 88, 3]
Generated Node #0,1: 16:[40, 88, 3] Operation: 81/27=3
Exploring Operation: 88-40=48, Resulting Numbers: [27, 81, 48]
Generated Node #0,2: 16:[27, 81, 48] Operation: 88-40=48
Exploring Operation: 81-27=54, Resulting Numbers: [40, 88, 54]
Generated Node #0,3: 16:[40, 88, 54] Operation: 81-27=54
Exploring Operation: 88-81=7, Resulting Numbers: [27, 40, 7]
Generated Node #0,4: 16:[27, 40, 7] Operation: 88-81=7
Start Sub Search at level 1: Moving to Node #0,4
Current State: 16:[27, 40, 7], Operations: ['88-81=7']
Exploring Operation: 27-7=20, Resulting Numbers: [40, 20]
Generated Node #0,4,0: 16:[40, 20] Operation: 27-7=20
Exploring Operation: 40-27=13, Resulting Numbers: [7, 13]
Generated Node #0,4,1: 16:[7, 13] Operation: 40-27=13
Exploring Operation: 40+7=47, Resulting Numbers: [27, 47]
Generated Node #0,4,2: 16:[27, 47] Operation: 40+7=47
Exploring Operation: 40-7=33, Resulting Numbers: [27, 33]
Generated Node #0,4,3: 16:[27, 33] Operation: 40-7=33
Exploring Operation: 27+7=34, Resulting Numbers: [40, 34]
Generated Node #0,4,4: 16:[40, 34] Operation: 27+7=34
Moving to Node #0,4,1
Current State: 16:[7, 13], Operations: ['88-81=7', '40-27=13']
Exploring Operation: 7+13=20, Resulting Numbers: [20]
20,16 unequal: No Solution
Exploring Operation: 7*13=91, Resulting Numbers: [91]
91,16 unequal: No Solution
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,16 unequal: No Solution
Moving to Node #0,4,3
Current State: 16:[27, 33], Operations: ['88-81=7', '40-7=33']
Exploring Operation: 27+33=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Exploring Operation: 33-27=6, Resulting Numbers: [6]
6,16 unequal: No Solution
Exploring Operation: 27*33=891, Resulting Numbers: [891]
891,16 unequal: No Solution
Moving to Node #0,4,0
Current State: 16:[40, 20], Operations: ['88-81=7', '27-7=20']
Exploring Operation: 40*20=800, Resulting Numbers: [800]
800,16 unequal: No Solution
Exploring Operation: 40+20=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Exploring Operation: 40/20=2, Resulting Numbers: [2]
2,16 unequal: No Solution
Exploring Operation: 40-20=20, Resulting Numbers: [20]
20,16 unequal: No Solution
Moving to Node #0,4,2
Current State: 16:[27, 47], Operations: ['88-81=7', '40+7=47']
Exploring Operation: 47-27=20, Resulting Numbers: [20]
20,16 unequal: No Solution
Exploring Operation: 27+47=74, Resulting Numbers: [74]
74,16 unequal: No Solution
Exploring Operation: 27*47=1269, Resulting Numbers: [1269]
1269,16 unequal: No Solution
Moving to Node #0,4,4
Current State: 16:[40, 34], Operations: ['88-81=7', '27+7=34']
Exploring Operation: 40*34=1360, Resulting Numbers: [1360]
1360,16 unequal: No Solution
Exploring Operation: 40-34=6, Resulting Numbers: [6]
6,16 unequal: No Solution
Exploring Operation: 40+34=74, Resulting Numbers: [74]
74,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 16:[40, 88, 3], Operations: ['81/27=3']
Exploring Operation: 88-3=85, Resulting Numbers: [40, 85]
Generated Node #0,1,0: 16:[40, 85] Operation: 88-3=85
Exploring Operation: 40-3=37, Resulting Numbers: [88, 37]
Generated Node #0,1,1: 16:[88, 37] Operation: 40-3=37
Exploring Operation: 40+3=43, Resulting Numbers: [88, 43]
Generated Node #0,1,2: 16:[88, 43] Operation: 40+3=43
Exploring Operation: 88-40=48, Resulting Numbers: [3, 48]
Generated Node #0,1,3: 16:[3, 48] Operation: 88-40=48
Exploring Operation: 88+3=91, Resulting Numbers: [40, 91]
Generated Node #0,1,4: 16:[40, 91] Operation: 88+3=91
Moving to Node #0,1,3
Current State: 16:[3, 48], Operations: ['81/27=3', '88-40=48']
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,16 unequal: No Solution
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[27, 81, 40, 88], Operations: []
Exploring Operation: 81/27=3, Resulting Numbers: [40, 88, 3]
Generated Node #0,1: 16:[40, 88, 3] Operation: 81/27=3
Moving to Node #0,1
Current State: 16:[40, 88, 3], Operations: ['81/27=3']
Exploring Operation: 88-40=48, Resulting Numbers: [3, 48]
Generated Node #0,1,3: 16:[3, 48] Operation: 88-40=48
Moving to Node #0,1,3
Current State: 16:[3, 48], Operations: ['81/27=3', '88-40=48']
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.967882 | hs_5 | sum_heuristic |
[
7,
9,
33,
22
] | 28 | [
"9+33=42",
"42/7=6",
"22+6=28"
] | Current State: 28:[7, 9, 33, 22], Operations: []
Exploring Operation: 9+33=42, Resulting Numbers: [7, 22, 42]
Generated Node #2: [7, 22, 42] from Operation: 9+33=42
Current State: 28:[7, 22, 42], Operations: ['9+33=42']
Exploring Operation: 42/7=6, Resulting Numbers: [22, 6]
Generated Node #3: [22, 6] from Operation: 42/7=6
Current State: 28:[22, 6], Operations: ['9+33=42', '42/7=6']
Exploring Operation: 22+6=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[7, 9, 33, 22], Operations: []
Exploring Operation: 22-9=13, Resulting Numbers: [7, 33, 13]
Generated Node #0,0: 28:[7, 33, 13] Operation: 22-9=13
Exploring Operation: 33-22=11, Resulting Numbers: [7, 9, 11]
Generated Node #0,1: 28:[7, 9, 11] Operation: 33-22=11
Exploring Operation: 22-7=15, Resulting Numbers: [9, 33, 15]
Generated Node #0,2: 28:[9, 33, 15] Operation: 22-7=15
Exploring Operation: 7+22=29, Resulting Numbers: [9, 33, 29]
Generated Node #0,3: 28:[9, 33, 29] Operation: 7+22=29
Start Sub Search at level 1: Moving to Node #0,1
Current State: 28:[7, 9, 11], Operations: ['33-22=11']
Exploring Operation: 11-7=4, Resulting Numbers: [9, 4]
Generated Node #0,1,0: 28:[9, 4] Operation: 11-7=4
Exploring Operation: 9-7=2, Resulting Numbers: [11, 2]
Generated Node #0,1,1: 28:[11, 2] Operation: 9-7=2
Exploring Operation: 7+9=16, Resulting Numbers: [11, 16]
Generated Node #0,1,2: 28:[11, 16] Operation: 7+9=16
Exploring Operation: 11-9=2, Resulting Numbers: [7, 2]
Generated Node #0,1,3: 28:[7, 2] Operation: 11-9=2
Moving to Node #0,1,3
Current State: 28:[7, 2], Operations: ['33-22=11', '11-9=2']
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,28 unequal: No Solution
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,28 unequal: No Solution
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,28 unequal: No Solution
Moving to Node #0,1,0
Current State: 28:[9, 4], Operations: ['33-22=11', '11-7=4']
Exploring Operation: 9*4=36, Resulting Numbers: [36]
36,28 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,28 unequal: No Solution
Exploring Operation: 9+4=13, Resulting Numbers: [13]
13,28 unequal: No Solution
Moving to Node #0,1,1
Current State: 28:[11, 2], Operations: ['33-22=11', '9-7=2']
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,28 unequal: No Solution
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,28 unequal: No Solution
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,28 unequal: No Solution
Moving to Node #0,1,2
Current State: 28:[11, 16], Operations: ['33-22=11', '7+9=16']
Exploring Operation: 11+16=27, Resulting Numbers: [27]
27,28 unequal: No Solution
Exploring Operation: 11*16=176, Resulting Numbers: [176]
176,28 unequal: No Solution
Exploring Operation: 16-11=5, Resulting Numbers: [5]
5,28 unequal: No Solution
No 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: 28:[7, 33, 13], Operations: ['22-9=13']
Exploring Operation: 7+13=20, Resulting Numbers: [33, 20]
Generated Node #0,0,0: 28:[33, 20] Operation: 7+13=20
Exploring Operation: 13-7=6, Resulting Numbers: [33, 6]
Generated Node #0,0,1: 28:[33, 6] Operation: 13-7=6
Exploring Operation: 33-13=20, Resulting Numbers: [7, 20]
Generated Node #0,0,2: 28:[7, 20] Operation: 33-13=20
Exploring Operation: 33-7=26, Resulting Numbers: [13, 26]
Generated Node #0,0,3: 28:[13, 26] Operation: 33-7=26
Moving to Node #0,0,3
Current State: 28:[13, 26], Operations: ['22-9=13', '33-7=26']
Exploring Operation: 13+26=39, Resulting Numbers: [39]
39,28 unequal: No Solution
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,28 unequal: No Solution
Exploring Operation: 26/13=2, Resulting Numbers: [2]
2,28 unequal: No Solution
Exploring Operation: 13*26=338, Resulting Numbers: [338]
338,28 unequal: No Solution
Moving to Node #0,0,2
Current State: 28:[7, 20], Operations: ['22-9=13', '33-13=20']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,28 unequal: No Solution
Exploring Operation: 7*20=140, Resulting Numbers: [140]
140,28 unequal: No Solution
Exploring Operation: 7+20=27, Resulting Numbers: [27]
27,28 unequal: No Solution
Moving to Node #0,0,1
Current State: 28:[33, 6], Operations: ['22-9=13', '13-7=6']
Exploring Operation: 33+6=39, Resulting Numbers: [39]
39,28 unequal: No Solution
Exploring Operation: 33*6=198, Resulting Numbers: [198]
198,28 unequal: No Solution
Exploring Operation: 33-6=27, Resulting Numbers: [27]
27,28 unequal: No Solution
Moving to Node #0,0,0
Current State: 28:[33, 20], Operations: ['22-9=13', '7+13=20']
Exploring Operation: 33-20=13, Resulting Numbers: [13]
13,28 unequal: No Solution
Exploring Operation: 33+20=53, Resulting Numbers: [53]
53,28 unequal: No Solution
Exploring Operation: 33*20=660, Resulting Numbers: [660]
660,28 unequal: No Solution
No 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: 28:[9, 33, 15], Operations: ['22-7=15']
Exploring Operation: 33-15=18, Resulting Numbers: [9, 18]
Generated Node #0,2,0: 28:[9, 18] Operation: 33-15=18
Exploring Operation: 15-9=6, Resulting Numbers: [33, 6]
Generated Node #0,2,1: 28:[33, 6] Operation: 15-9=6
Exploring Operation: 33-9=24, Resulting Numbers: [15, 24]
Generated Node #0,2,2: 28:[15, 24] Operation: 33-9=24
Exploring Operation: 9+15=24, Resulting Numbers: [33, 24]
Generated Node #0,2,3: 28:[33, 24] Operation: 9+15=24
Moving to Node #0,2,2
Current State: 28:[15, 24], Operations: ['22-7=15', '33-9=24']
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,28 unequal: No Solution
Exploring Operation: 15*24=360, Resulting Numbers: [360]
360,28 unequal: No Solution
Exploring Operation: 15+24=39, Resulting Numbers: [39]
39,28 unequal: No Solution
Moving to Node #0,2,1
Current State: 28:[33, 6], Operations: ['22-7=15', '15-9=6']
Exploring Operation: 33+6=39, Resulting Numbers: [39]
39,28 unequal: No Solution
Exploring Operation: 33*6=198, Resulting Numbers: [198]
198,28 unequal: No Solution
Exploring Operation: 33-6=27, Resulting Numbers: [27]
27,28 unequal: No Solution
Moving to Node #0,2,0
Current State: 28:[9, 18], Operations: ['22-7=15', '33-15=18']
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,28 unequal: No Solution
Exploring Operation: 9*18=162, Resulting Numbers: [162]
162,28 unequal: No Solution
Exploring Operation: 9+18=27, Resulting Numbers: [27]
27,28 unequal: No Solution
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,28 unequal: No Solution
Moving to Node #0,2,3
Current State: 28:[33, 24], Operations: ['22-7=15', '9+15=24']
Exploring Operation: 33*24=792, Resulting Numbers: [792]
792,28 unequal: No Solution
Exploring Operation: 33+24=57, Resulting Numbers: [57]
57,28 unequal: No Solution
Exploring Operation: 33-24=9, Resulting Numbers: [9]
9,28 unequal: No Solution
No 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: 28:[9, 33, 29], Operations: ['7+22=29']
Exploring Operation: 29-9=20, Resulting Numbers: [33, 20]
Generated Node #0,3,0: 28:[33, 20] Operation: 29-9=20
Exploring Operation: 9+33=42, Resulting Numbers: [29, 42]
Generated Node #0,3,1: 28:[29, 42] Operation: 9+33=42
Exploring Operation: 33-29=4, Resulting Numbers: [9, 4]
Generated Node #0,3,2: 28:[9, 4] Operation: 33-29=4
Exploring Operation: 33-9=24, Resulting Numbers: [29, 24]
Generated Node #0,3,3: 28:[29, 24] Operation: 33-9=24
Moving to Node #0,3,2
Current State: 28:[9, 4], Operations: ['7+22=29', '33-29=4']
Exploring Operation: 9+4=13, Resulting Numbers: [13]
13,28 unequal: No Solution
Exploring Operation: 9*4=36, Resulting Numbers: [36]
36,28 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,28 unequal: No Solution
Moving to Node #0,3,3
Current State: 28:[29, 24], Operations: ['7+22=29', '33-9=24']
Exploring Operation: 29-24=5, Resulting Numbers: [5]
5,28 unequal: No Solution
Exploring Operation: 29*24=696, Resulting Numbers: [696]
696,28 unequal: No Solution
Exploring Operation: 29+24=53, Resulting Numbers: [53]
53,28 unequal: No Solution
Moving to Node #0,3,0
Current State: 28:[33, 20], Operations: ['7+22=29', '29-9=20']
Exploring Operation: 33*20=660, Resulting Numbers: [660]
660,28 unequal: No Solution
Exploring Operation: 33-20=13, Resulting Numbers: [13]
13,28 unequal: No Solution
Exploring Operation: 33+20=53, Resulting Numbers: [53]
53,28 unequal: No Solution
Moving to Node #0,3,1
Current State: 28:[29, 42], Operations: ['7+22=29', '9+33=42']
Exploring Operation: 29*42=1218, Resulting Numbers: [1218]
1218,28 unequal: No Solution
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,28 unequal: No Solution
Exploring Operation: 29+42=71, Resulting Numbers: [71]
71,28 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 |
[
99,
74,
55,
39
] | 79 | [
"99+74=173",
"55+39=94",
"173-94=79"
] | Current State: 79:[99, 74, 55, 39], Operations: []
Exploring Operation: 99+74=173, Resulting Numbers: [55, 39, 173]
Generated Node #2: [55, 39, 173] from Operation: 99+74=173
Current State: 79:[55, 39, 173], Operations: ['99+74=173']
Exploring Operation: 55+39=94, Resulting Numbers: [173, 94]
Generated Node #3: [173, 94] from Operation: 55+39=94
Current State: 79:[173, 94], Operations: ['99+74=173', '55+39=94']
Exploring Operation: 173-94=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[99, 74, 55, 39], Operations: []
Exploring Operation: 55+39=94, Resulting Numbers: [99, 74, 94]
Generated Node #0,0: 79:[99, 74, 94] Operation: 55+39=94
Exploring Operation: 99-39=60, Resulting Numbers: [74, 55, 60]
Generated Node #0,1: 79:[74, 55, 60] Operation: 99-39=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[99, 74, 94], Operations: ['55+39=94']
Exploring Operation: 99-94=5, Resulting Numbers: [74, 5]
Generated Node #0,0,0: 79:[74, 5] Operation: 99-94=5
Exploring Operation: 99-74=25, Resulting Numbers: [94, 25]
Generated Node #0,0,1: 79:[94, 25] Operation: 99-74=25
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 79:[94, 25], Operations: ['55+39=94', '99-74=25']
Exploring Operation: 94-25=69, Resulting Numbers: [69]
69,79 unequal: No Solution
Exploring Operation: 94+25=119, Resulting Numbers: [119]
119,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 79:[74, 5], Operations: ['55+39=94', '99-94=5']
Exploring Operation: 74+5=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[99, 74, 55, 39], Operations: []
Exploring Operation: 55+39=94, Resulting Numbers: [99, 74, 94]
Generated Node #0,0: 79:[99, 74, 94] Operation: 55+39=94
Moving to Node #0,0
Current State: 79:[99, 74, 94], Operations: ['55+39=94']
Exploring Operation: 99-94=5, Resulting Numbers: [74, 5]
Generated Node #0,0,0: 79:[74, 5] Operation: 99-94=5
Moving to Node #0,0,0
Current State: 79:[74, 5], Operations: ['55+39=94', '99-94=5']
Exploring Operation: 74+5=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
36,
6,
68,
7
] | 31 | [
"36-6=30",
"68-7=61",
"61-30=31"
] | Current State: 31:[36, 6, 68, 7], Operations: []
Exploring Operation: 36-6=30, Resulting Numbers: [68, 7, 30]
Generated Node #2: [68, 7, 30] from Operation: 36-6=30
Current State: 31:[68, 7, 30], Operations: ['36-6=30']
Exploring Operation: 68-7=61, Resulting Numbers: [30, 61]
Generated Node #3: [30, 61] from Operation: 68-7=61
Current State: 31:[30, 61], Operations: ['36-6=30', '68-7=61']
Exploring Operation: 61-30=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[36, 6, 68, 7], Operations: []
Exploring Operation: 68-7=61, Resulting Numbers: [36, 6, 61]
Generated Node #0,0: 31:[36, 6, 61] Operation: 68-7=61
Exploring Operation: 6+7=13, Resulting Numbers: [36, 68, 13]
Generated Node #0,1: 31:[36, 68, 13] Operation: 6+7=13
Exploring Operation: 68-6=62, Resulting Numbers: [36, 7, 62]
Generated Node #0,2: 31:[36, 7, 62] Operation: 68-6=62
Exploring Operation: 68-36=32, Resulting Numbers: [6, 7, 32]
Generated Node #0,3: 31:[6, 7, 32] Operation: 68-36=32
Exploring Operation: 6*7=42, Resulting Numbers: [36, 68, 42]
Generated Node #0,4: 31:[36, 68, 42] Operation: 6*7=42
Start Sub Search at level 1: Moving to Node #0,3
Current State: 31:[6, 7, 32], Operations: ['68-36=32']
Exploring Operation: 6*7=42, Resulting Numbers: [32, 42]
Generated Node #0,3,0: 31:[32, 42] Operation: 6*7=42
Exploring Operation: 7-6=1, Resulting Numbers: [32, 1]
Generated Node #0,3,1: 31:[32, 1] Operation: 7-6=1
Exploring Operation: 6+7=13, Resulting Numbers: [32, 13]
Generated Node #0,3,2: 31:[32, 13] Operation: 6+7=13
Exploring Operation: 32-6=26, Resulting Numbers: [7, 26]
Generated Node #0,3,3: 31:[7, 26] Operation: 32-6=26
Exploring Operation: 6+32=38, Resulting Numbers: [7, 38]
Generated Node #0,3,4: 31:[7, 38] Operation: 6+32=38
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 31:[32, 42], Operations: ['68-36=32', '6*7=42']
Exploring Operation: 32+42=74, Resulting Numbers: [74]
74,31 unequal: No Solution
Exploring Operation: 32*42=1344, Resulting Numbers: [1344]
1344,31 unequal: No Solution
Exploring Operation: 42-32=10, Resulting Numbers: [10]
10,31 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 #0,3,2
Current State: 31:[32, 13], Operations: ['68-36=32', '6+7=13']
Exploring Operation: 32*13=416, Resulting Numbers: [416]
416,31 unequal: No Solution
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,31 unequal: No Solution
Exploring Operation: 32+13=45, Resulting Numbers: [45]
45,31 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 #0,3,3
Current State: 31:[7, 26], Operations: ['68-36=32', '32-6=26']
Exploring Operation: 7*26=182, Resulting Numbers: [182]
182,31 unequal: No Solution
Exploring Operation: 7+26=33, Resulting Numbers: [33]
33,31 unequal: No Solution
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,31 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 #0,3,1
Current State: 31:[32, 1], Operations: ['68-36=32', '7-6=1']
Exploring Operation: 32/1=32, Resulting Numbers: [32]
32,31 unequal: No Solution
Exploring Operation: 32+1=33, Resulting Numbers: [33]
33,31 unequal: No Solution
Exploring Operation: 32*1=32, Resulting Numbers: [32]
32,31 unequal: No Solution
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[36, 6, 68, 7], Operations: []
Exploring Operation: 68-36=32, Resulting Numbers: [6, 7, 32]
Generated Node #0,3: 31:[6, 7, 32] Operation: 68-36=32
Moving to Node #0,3
Current State: 31:[6, 7, 32], Operations: ['68-36=32']
Exploring Operation: 7-6=1, Resulting Numbers: [32, 1]
Generated Node #0,3,1: 31:[32, 1] Operation: 7-6=1
Moving to Node #0,3,1
Current State: 31:[32, 1], Operations: ['68-36=32', '7-6=1']
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.976563 | hs_5 | mult_heuristic |
[
77,
49,
98,
53
] | 84 | [
"98-77=21",
"53-49=4",
"21*4=84"
] | Current State: 84:[77, 49, 98, 53], Operations: []
Exploring Operation: 98-77=21, Resulting Numbers: [49, 53, 21]
Generated Node #2: [49, 53, 21] from Operation: 98-77=21
Current State: 84:[49, 53, 21], Operations: ['98-77=21']
Exploring Operation: 53-49=4, Resulting Numbers: [21, 4]
Generated Node #3: [21, 4] from Operation: 53-49=4
Current State: 84:[21, 4], Operations: ['98-77=21', '53-49=4']
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[77, 49, 98, 53], Operations: []
Exploring Operation: 98-77=21, Resulting Numbers: [49, 53, 21]
Generated Node #0,0: 84:[49, 53, 21] Operation: 98-77=21
Exploring Operation: 98-53=45, Resulting Numbers: [77, 49, 45]
Generated Node #0,1: 84:[77, 49, 45] Operation: 98-53=45
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[77, 49, 45], Operations: ['98-53=45']
Exploring Operation: 49-45=4, Resulting Numbers: [77, 4]
Generated Node #0,1,0: 84:[77, 4] Operation: 49-45=4
Exploring Operation: 77-49=28, Resulting Numbers: [45, 28]
Generated Node #0,1,1: 84:[45, 28] Operation: 77-49=28
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 84:[45, 28], Operations: ['98-53=45', '77-49=28']
Exploring Operation: 45+28=73, Resulting Numbers: [73]
73,84 unequal: No Solution
Exploring Operation: 45-28=17, Resulting Numbers: [17]
17,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 84:[77, 4], Operations: ['98-53=45', '49-45=4']
Exploring Operation: 77-4=73, Resulting Numbers: [73]
73,84 unequal: No Solution
Exploring Operation: 77+4=81, Resulting Numbers: [81]
81,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[49, 53, 21], Operations: ['98-77=21']
Exploring Operation: 53-49=4, Resulting Numbers: [21, 4]
Generated Node #0,0,0: 84:[21, 4] Operation: 53-49=4
Exploring Operation: 49-21=28, Resulting Numbers: [53, 28]
Generated Node #0,0,1: 84:[53, 28] Operation: 49-21=28
Moving to Node #0,0,0
Current State: 84:[21, 4], Operations: ['98-77=21', '53-49=4']
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,84 unequal: No Solution
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[77, 49, 98, 53], Operations: []
Exploring Operation: 98-77=21, Resulting Numbers: [49, 53, 21]
Generated Node #0,0: 84:[49, 53, 21] Operation: 98-77=21
Moving to Node #0,0
Current State: 84:[49, 53, 21], Operations: ['98-77=21']
Exploring Operation: 53-49=4, Resulting Numbers: [21, 4]
Generated Node #0,0,0: 84:[21, 4] Operation: 53-49=4
Moving to Node #0,0,0
Current State: 84:[21, 4], Operations: ['98-77=21', '53-49=4']
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_2 | mult_heuristic |
[
12,
21,
48,
28
] | 36 | [
"28-21=7",
"12*7=84",
"84-48=36"
] | Current State: 36:[12, 21, 48, 28], Operations: []
Exploring Operation: 28-21=7, Resulting Numbers: [12, 48, 7]
Generated Node #2: [12, 48, 7] from Operation: 28-21=7
Current State: 36:[12, 48, 7], Operations: ['28-21=7']
Exploring Operation: 12*7=84, Resulting Numbers: [48, 84]
Generated Node #3: [48, 84] from Operation: 12*7=84
Current State: 36:[48, 84], Operations: ['28-21=7', '12*7=84']
Exploring Operation: 84-48=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[12, 21, 48, 28], Operations: []
Exploring Operation: 28-21=7, Resulting Numbers: [12, 48, 7]
Generated Node #0,0: 36:[12, 48, 7] Operation: 28-21=7
Exploring Operation: 48-28=20, Resulting Numbers: [12, 21, 20]
Generated Node #0,1: 36:[12, 21, 20] Operation: 48-28=20
Exploring Operation: 28-12=16, Resulting Numbers: [21, 48, 16]
Generated Node #0,2: 36:[21, 48, 16] Operation: 28-12=16
Exploring Operation: 48/12=4, Resulting Numbers: [21, 28, 4]
Generated Node #0,3: 36:[21, 28, 4] Operation: 48/12=4
Exploring Operation: 48-12=36, Resulting Numbers: [21, 28, 36]
Generated Node #0,4: 36:[21, 28, 36] Operation: 48-12=36
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[12, 21, 20], Operations: ['48-28=20']
Exploring Operation: 21-12=9, Resulting Numbers: [20, 9]
Generated Node #0,1,0: 36:[20, 9] Operation: 21-12=9
Exploring Operation: 21-20=1, Resulting Numbers: [12, 1]
Generated Node #0,1,1: 36:[12, 1] Operation: 21-20=1
Exploring Operation: 21+20=41, Resulting Numbers: [12, 41]
Generated Node #0,1,2: 36:[12, 41] Operation: 21+20=41
Exploring Operation: 20-12=8, Resulting Numbers: [21, 8]
Generated Node #0,1,3: 36:[21, 8] Operation: 20-12=8
Exploring Operation: 12+21=33, Resulting Numbers: [20, 33]
Generated Node #0,1,4: 36:[20, 33] Operation: 12+21=33
Moving to Node #0,1,1
Current State: 36:[12, 1], Operations: ['48-28=20', '21-20=1']
Exploring Operation: 12*1=12, Resulting Numbers: [12]
12,36 unequal: No Solution
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,36 unequal: No Solution
Exploring Operation: 12+1=13, Resulting Numbers: [13]
13,36 unequal: No Solution
Exploring Operation: 12/1=12, Resulting Numbers: [12]
12,36 unequal: No Solution
Moving to Node #0,1,0
Current State: 36:[20, 9], Operations: ['48-28=20', '21-12=9']
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,36 unequal: No Solution
Exploring Operation: 20*9=180, Resulting Numbers: [180]
180,36 unequal: No Solution
Exploring Operation: 20+9=29, Resulting Numbers: [29]
29,36 unequal: No Solution
Moving to Node #0,1,3
Current State: 36:[21, 8], Operations: ['48-28=20', '20-12=8']
Exploring Operation: 21+8=29, Resulting Numbers: [29]
29,36 unequal: No Solution
Exploring Operation: 21*8=168, Resulting Numbers: [168]
168,36 unequal: No Solution
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,36 unequal: No Solution
Moving to Node #0,1,2
Current State: 36:[12, 41], Operations: ['48-28=20', '21+20=41']
Exploring Operation: 41-12=29, Resulting Numbers: [29]
29,36 unequal: No Solution
Exploring Operation: 12*41=492, Resulting Numbers: [492]
492,36 unequal: No Solution
Exploring Operation: 12+41=53, Resulting Numbers: [53]
53,36 unequal: No Solution
Moving to Node #0,1,4
Current State: 36:[20, 33], Operations: ['48-28=20', '12+21=33']
Exploring Operation: 20*33=660, Resulting Numbers: [660]
660,36 unequal: No Solution
Exploring Operation: 33-20=13, Resulting Numbers: [13]
13,36 unequal: No Solution
Exploring Operation: 20+33=53, Resulting Numbers: [53]
53,36 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 #0,3
Current State: 36:[21, 28, 4], Operations: ['48/12=4']
Exploring Operation: 28-4=24, Resulting Numbers: [21, 24]
Generated Node #0,3,0: 36:[21, 24] Operation: 28-4=24
Exploring Operation: 21-4=17, Resulting Numbers: [28, 17]
Generated Node #0,3,1: 36:[28, 17] Operation: 21-4=17
Exploring Operation: 28+4=32, Resulting Numbers: [21, 32]
Generated Node #0,3,2: 36:[21, 32] Operation: 28+4=32
Exploring Operation: 28/4=7, Resulting Numbers: [21, 7]
Generated Node #0,3,3: 36:[21, 7] Operation: 28/4=7
Exploring Operation: 28-21=7, Resulting Numbers: [4, 7]
Generated Node #0,3,4: 36:[4, 7] Operation: 28-21=7
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 36:[4, 7], Operations: ['48/12=4', '28-21=7']
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,36 unequal: No Solution
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,36 unequal: No Solution
Exploring Operation: 4+7=11, Resulting Numbers: [11]
11,36 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 #0,3,3
Current State: 36:[21, 7], Operations: ['48/12=4', '28/4=7']
Exploring Operation: 21/7=3, Resulting Numbers: [3]
3,36 unequal: No Solution
Exploring Operation: 21+7=28, Resulting Numbers: [28]
28,36 unequal: No Solution
Exploring Operation: 21-7=14, Resulting Numbers: [14]
14,36 unequal: No Solution
Exploring Operation: 21*7=147, Resulting Numbers: [147]
147,36 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 #0,3,2
Current State: 36:[21, 32], Operations: ['48/12=4', '28+4=32']
Exploring Operation: 21+32=53, Resulting Numbers: [53]
53,36 unequal: No Solution
Exploring Operation: 32-21=11, Resulting Numbers: [11]
11,36 unequal: No Solution
Exploring Operation: 21*32=672, Resulting Numbers: [672]
672,36 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 #0,3,0
Current State: 36:[21, 24], Operations: ['48/12=4', '28-4=24']
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,36 unequal: No Solution
Exploring Operation: 21+24=45, Resulting Numbers: [45]
45,36 unequal: No Solution
Exploring Operation: 21*24=504, Resulting Numbers: [504]
504,36 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 #0,3,1
Current State: 36:[28, 17], Operations: ['48/12=4', '21-4=17']
Exploring Operation: 28-17=11, Resulting Numbers: [11]
11,36 unequal: No Solution
Exploring Operation: 28+17=45, Resulting Numbers: [45]
45,36 unequal: No Solution
Exploring Operation: 28*17=476, Resulting Numbers: [476]
476,36 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 #0,4
Current State: 36:[21, 28, 36], Operations: ['48-12=36']
Exploring Operation: 21+36=57, Resulting Numbers: [28, 57]
Generated Node #0,4,0: 36:[28, 57] Operation: 21+36=57
Exploring Operation: 21+28=49, Resulting Numbers: [36, 49]
Generated Node #0,4,1: 36:[36, 49] Operation: 21+28=49
Exploring Operation: 36-28=8, Resulting Numbers: [21, 8]
Generated Node #0,4,2: 36:[21, 8] Operation: 36-28=8
Exploring Operation: 36-21=15, Resulting Numbers: [28, 15]
Generated Node #0,4,3: 36:[28, 15] Operation: 36-21=15
Exploring Operation: 28-21=7, Resulting Numbers: [36, 7]
Generated Node #0,4,4: 36:[36, 7] Operation: 28-21=7
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 36:[36, 7], Operations: ['48-12=36', '28-21=7']
Exploring Operation: 36+7=43, Resulting Numbers: [43]
43,36 unequal: No Solution
Exploring Operation: 36*7=252, Resulting Numbers: [252]
252,36 unequal: No Solution
Exploring Operation: 36-7=29, Resulting Numbers: [29]
29,36 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 #0,4,2
Current State: 36:[21, 8], Operations: ['48-12=36', '36-28=8']
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,36 unequal: No Solution
Exploring Operation: 21*8=168, Resulting Numbers: [168]
168,36 unequal: No Solution
Exploring Operation: 21+8=29, Resulting Numbers: [29]
29,36 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 #0,4,3
Current State: 36:[28, 15], Operations: ['48-12=36', '36-21=15']
Exploring Operation: 28+15=43, Resulting Numbers: [43]
43,36 unequal: No Solution
Exploring Operation: 28-15=13, Resulting Numbers: [13]
13,36 unequal: No Solution
Exploring Operation: 28*15=420, Resulting Numbers: [420]
420,36 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 #0,4,1
Current State: 36:[36, 49], Operations: ['48-12=36', '21+28=49']
Exploring Operation: 49-36=13, Resulting Numbers: [13]
13,36 unequal: No Solution
Exploring Operation: 36*49=1764, Resulting Numbers: [1764]
1764,36 unequal: No Solution
Exploring Operation: 36+49=85, Resulting Numbers: [85]
85,36 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 #0,4,0
Current State: 36:[28, 57], Operations: ['48-12=36', '21+36=57']
Exploring Operation: 57-28=29, Resulting Numbers: [29]
29,36 unequal: No Solution
Exploring Operation: 28+57=85, Resulting Numbers: [85]
85,36 unequal: No Solution
Exploring Operation: 28*57=1596, Resulting Numbers: [1596]
1596,36 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:[12, 48, 7], Operations: ['28-21=7']
Exploring Operation: 12+7=19, Resulting Numbers: [48, 19]
Generated Node #0,0,0: 36:[48, 19] Operation: 12+7=19
Exploring Operation: 48-12=36, Resulting Numbers: [7, 36]
Generated Node #0,0,1: 36:[7, 36] Operation: 48-12=36
Exploring Operation: 12-7=5, Resulting Numbers: [48, 5]
Generated Node #0,0,2: 36:[48, 5] Operation: 12-7=5
Exploring Operation: 48-7=41, Resulting Numbers: [12, 41]
Generated Node #0,0,3: 36:[12, 41] Operation: 48-7=41
Exploring Operation: 48/12=4, Resulting Numbers: [7, 4]
Generated Node #0,0,4: 36:[7, 4] Operation: 48/12=4
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 36:[7, 36], Operations: ['28-21=7', '48-12=36']
Exploring Operation: 36-7=29, Resulting Numbers: [29]
29,36 unequal: No Solution
Exploring Operation: 7+36=43, Resulting Numbers: [43]
43,36 unequal: No Solution
Exploring Operation: 7*36=252, Resulting Numbers: [252]
252,36 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 #0,0,4
Current State: 36:[7, 4], Operations: ['28-21=7', '48/12=4']
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,36 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,36 unequal: No Solution
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,36 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 #0,0,3
Current State: 36:[12, 41], Operations: ['28-21=7', '48-7=41']
Exploring Operation: 41-12=29, Resulting Numbers: [29]
29,36 unequal: No Solution
Exploring Operation: 12*41=492, Resulting Numbers: [492]
492,36 unequal: No Solution
Exploring Operation: 12+41=53, Resulting Numbers: [53]
53,36 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 #0,0,0
Current State: 36:[48, 19], Operations: ['28-21=7', '12+7=19']
Exploring Operation: 48*19=912, Resulting Numbers: [912]
912,36 unequal: No Solution
Exploring Operation: 48+19=67, Resulting Numbers: [67]
67,36 unequal: No Solution
Exploring Operation: 48-19=29, Resulting Numbers: [29]
29,36 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 #0,0,2
Current State: 36:[48, 5], Operations: ['28-21=7', '12-7=5']
Exploring Operation: 48+5=53, Resulting Numbers: [53]
53,36 unequal: No Solution
Exploring Operation: 48*5=240, Resulting Numbers: [240]
240,36 unequal: No Solution
Exploring Operation: 48-5=43, Resulting Numbers: [43]
43,36 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 #0,2
Current State: 36:[21, 48, 16], Operations: ['28-12=16']
Exploring Operation: 21-16=5, Resulting Numbers: [48, 5]
Generated Node #0,2,0: 36:[48, 5] Operation: 21-16=5
Exploring Operation: 21+16=37, Resulting Numbers: [48, 37]
Generated Node #0,2,1: 36:[48, 37] Operation: 21+16=37
Exploring Operation: 48-16=32, Resulting Numbers: [21, 32]
Generated Node #0,2,2: 36:[21, 32] Operation: 48-16=32
Exploring Operation: 48-21=27, Resulting Numbers: [16, 27]
Generated Node #0,2,3: 36:[16, 27] Operation: 48-21=27
Exploring Operation: 48/16=3, Resulting Numbers: [21, 3]
Generated Node #0,2,4: 36:[21, 3] Operation: 48/16=3
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 36:[21, 3], Operations: ['28-12=16', '48/16=3']
Exploring Operation: 21+3=24, Resulting Numbers: [24]
24,36 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,36 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,36 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:[21, 32], Operations: ['28-12=16', '48-16=32']
Exploring Operation: 32-21=11, Resulting Numbers: [11]
11,36 unequal: No Solution
Exploring Operation: 21*32=672, Resulting Numbers: [672]
672,36 unequal: No Solution
Exploring Operation: 21+32=53, Resulting Numbers: [53]
53,36 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 #0,2,3
Current State: 36:[16, 27], Operations: ['28-12=16', '48-21=27']
Exploring Operation: 16+27=43, Resulting Numbers: [43]
43,36 unequal: No Solution
Exploring Operation: 27-16=11, Resulting Numbers: [11]
11,36 unequal: No Solution
Exploring Operation: 16*27=432, Resulting Numbers: [432]
432,36 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 #0,2,0
Current State: 36:[48, 5], Operations: ['28-12=16', '21-16=5']
Exploring Operation: 48+5=53, Resulting Numbers: [53]
53,36 unequal: No Solution
Exploring Operation: 48*5=240, Resulting Numbers: [240]
240,36 unequal: No Solution
Exploring Operation: 48-5=43, Resulting Numbers: [43]
43,36 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:[48, 37], Operations: ['28-12=16', '21+16=37']
Exploring Operation: 48+37=85, Resulting Numbers: [85]
85,36 unequal: No Solution
Exploring Operation: 48-37=11, Resulting Numbers: [11]
11,36 unequal: No Solution
Exploring Operation: 48*37=1776, Resulting Numbers: [1776]
1776,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
68,
9,
81,
75
] | 14 | [
"81-75=6",
"9*6=54",
"68-54=14"
] | Current State: 14:[68, 9, 81, 75], Operations: []
Exploring Operation: 81-75=6, Resulting Numbers: [68, 9, 6]
Generated Node #2: [68, 9, 6] from Operation: 81-75=6
Current State: 14:[68, 9, 6], Operations: ['81-75=6']
Exploring Operation: 9*6=54, Resulting Numbers: [68, 54]
Generated Node #3: [68, 54] from Operation: 9*6=54
Current State: 14:[68, 54], Operations: ['81-75=6', '9*6=54']
Exploring Operation: 68-54=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[68, 9, 81, 75], Operations: []
Exploring Operation: 81-75=6, Resulting Numbers: [68, 9, 6]
Generated Node #0,0: 14:[68, 9, 6] Operation: 81-75=6
Exploring Operation: 75-68=7, Resulting Numbers: [9, 81, 7]
Generated Node #0,1: 14:[9, 81, 7] Operation: 75-68=7
Exploring Operation: 81-68=13, Resulting Numbers: [9, 75, 13]
Generated Node #0,2: 14:[9, 75, 13] Operation: 81-68=13
Exploring Operation: 81/9=9, Resulting Numbers: [68, 75, 9]
Generated Node #0,3: 14:[68, 75, 9] Operation: 81/9=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[68, 9, 6], Operations: ['81-75=6']
Exploring Operation: 9-6=3, Resulting Numbers: [68, 3]
Generated Node #0,0,0: 14:[68, 3] Operation: 9-6=3
Exploring Operation: 68-9=59, Resulting Numbers: [6, 59]
Generated Node #0,0,1: 14:[6, 59] Operation: 68-9=59
Exploring Operation: 9+6=15, Resulting Numbers: [68, 15]
Generated Node #0,0,2: 14:[68, 15] Operation: 9+6=15
Exploring Operation: 68-6=62, Resulting Numbers: [9, 62]
Generated Node #0,0,3: 14:[9, 62] Operation: 68-6=62
Moving to Node #0,0,1
Current State: 14:[6, 59], Operations: ['81-75=6', '68-9=59']
Exploring Operation: 6+59=65, Resulting Numbers: [65]
65,14 unequal: No Solution
Exploring Operation: 59-6=53, Resulting Numbers: [53]
53,14 unequal: No Solution
Exploring Operation: 6*59=354, Resulting Numbers: [354]
354,14 unequal: No Solution
Moving to Node #0,0,3
Current State: 14:[9, 62], Operations: ['81-75=6', '68-6=62']
Exploring Operation: 62-9=53, Resulting Numbers: [53]
53,14 unequal: No Solution
Exploring Operation: 9+62=71, Resulting Numbers: [71]
71,14 unequal: No Solution
Exploring Operation: 9*62=558, Resulting Numbers: [558]
558,14 unequal: No Solution
Moving to Node #0,0,2
Current State: 14:[68, 15], Operations: ['81-75=6', '9+6=15']
Exploring Operation: 68+15=83, Resulting Numbers: [83]
83,14 unequal: No Solution
Exploring Operation: 68*15=1020, Resulting Numbers: [1020]
1020,14 unequal: No Solution
Exploring Operation: 68-15=53, Resulting Numbers: [53]
53,14 unequal: No Solution
Moving to Node #0,0,0
Current State: 14:[68, 3], Operations: ['81-75=6', '9-6=3']
Exploring Operation: 68+3=71, Resulting Numbers: [71]
71,14 unequal: No Solution
Exploring Operation: 68*3=204, Resulting Numbers: [204]
204,14 unequal: No Solution
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 14:[9, 75, 13], Operations: ['81-68=13']
Exploring Operation: 9+13=22, Resulting Numbers: [75, 22]
Generated Node #0,2,0: 14:[75, 22] Operation: 9+13=22
Exploring Operation: 75-9=66, Resulting Numbers: [13, 66]
Generated Node #0,2,1: 14:[13, 66] Operation: 75-9=66
Exploring Operation: 75-13=62, Resulting Numbers: [9, 62]
Generated Node #0,2,2: 14:[9, 62] Operation: 75-13=62
Exploring Operation: 13-9=4, Resulting Numbers: [75, 4]
Generated Node #0,2,3: 14:[75, 4] Operation: 13-9=4
Moving to Node #0,2,2
Current State: 14:[9, 62], Operations: ['81-68=13', '75-13=62']
Exploring Operation: 62-9=53, Resulting Numbers: [53]
53,14 unequal: No Solution
Exploring Operation: 9*62=558, Resulting Numbers: [558]
558,14 unequal: No Solution
Exploring Operation: 9+62=71, Resulting Numbers: [71]
71,14 unequal: No Solution
Moving to Node #0,2,1
Current State: 14:[13, 66], Operations: ['81-68=13', '75-9=66']
Exploring Operation: 66-13=53, Resulting Numbers: [53]
53,14 unequal: No Solution
Exploring Operation: 13*66=858, Resulting Numbers: [858]
858,14 unequal: No Solution
Exploring Operation: 13+66=79, Resulting Numbers: [79]
79,14 unequal: No Solution
Moving to Node #0,2,3
Current State: 14:[75, 4], Operations: ['81-68=13', '13-9=4']
Exploring Operation: 75*4=300, Resulting Numbers: [300]
300,14 unequal: No Solution
Exploring Operation: 75-4=71, Resulting Numbers: [71]
71,14 unequal: No Solution
Exploring Operation: 75+4=79, Resulting Numbers: [79]
79,14 unequal: No Solution
Moving to Node #0,2,0
Current State: 14:[75, 22], Operations: ['81-68=13', '9+13=22']
Exploring Operation: 75-22=53, Resulting Numbers: [53]
53,14 unequal: No Solution
Exploring Operation: 75+22=97, Resulting Numbers: [97]
97,14 unequal: No Solution
Exploring Operation: 75*22=1650, Resulting Numbers: [1650]
1650,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 14:[9, 81, 7], Operations: ['75-68=7']
Exploring Operation: 9-7=2, Resulting Numbers: [81, 2]
Generated Node #0,1,0: 14:[81, 2] Operation: 9-7=2
Exploring Operation: 81-9=72, Resulting Numbers: [7, 72]
Generated Node #0,1,1: 14:[7, 72] Operation: 81-9=72
Exploring Operation: 81-7=74, Resulting Numbers: [9, 74]
Generated Node #0,1,2: 14:[9, 74] Operation: 81-7=74
Exploring Operation: 81/9=9, Resulting Numbers: [7, 9]
Generated Node #0,1,3: 14:[7, 9] Operation: 81/9=9
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 14:[7, 9], Operations: ['75-68=7', '81/9=9']
Exploring Operation: 7+9=16, Resulting Numbers: [16]
16,14 unequal: No Solution
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,14 unequal: No Solution
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 14:[7, 72], Operations: ['75-68=7', '81-9=72']
Exploring Operation: 7*72=504, Resulting Numbers: [504]
504,14 unequal: No Solution
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,14 unequal: No Solution
Exploring Operation: 7+72=79, Resulting Numbers: [79]
79,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 14:[9, 74], Operations: ['75-68=7', '81-7=74']
Exploring Operation: 9*74=666, Resulting Numbers: [666]
666,14 unequal: No Solution
Exploring Operation: 9+74=83, Resulting Numbers: [83]
83,14 unequal: No Solution
Exploring Operation: 74-9=65, Resulting Numbers: [65]
65,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 14:[81, 2], Operations: ['75-68=7', '9-7=2']
Exploring Operation: 81+2=83, Resulting Numbers: [83]
83,14 unequal: No Solution
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,14 unequal: No Solution
Exploring Operation: 81*2=162, Resulting Numbers: [162]
162,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 14:[68, 75, 9], Operations: ['81/9=9']
Exploring Operation: 68-9=59, Resulting Numbers: [75, 59]
Generated Node #0,3,0: 14:[75, 59] Operation: 68-9=59
Exploring Operation: 75-68=7, Resulting Numbers: [9, 7]
Generated Node #0,3,1: 14:[9, 7] Operation: 75-68=7
Exploring Operation: 75-9=66, Resulting Numbers: [68, 66]
Generated Node #0,3,2: 14:[68, 66] Operation: 75-9=66
Exploring Operation: 68+9=77, Resulting Numbers: [75, 77]
Generated Node #0,3,3: 14:[75, 77] Operation: 68+9=77
Moving to Node #0,3,1
Current State: 14:[9, 7], Operations: ['81/9=9', '75-68=7']
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,14 unequal: No Solution
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,14 unequal: No Solution
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Moving to Node #0,3,2
Current State: 14:[68, 66], Operations: ['81/9=9', '75-9=66']
Exploring Operation: 68-66=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Exploring Operation: 68+66=134, Resulting Numbers: [134]
134,14 unequal: No Solution
Exploring Operation: 68*66=4488, Resulting Numbers: [4488]
4488,14 unequal: No Solution
Moving to Node #0,3,0
Current State: 14:[75, 59], Operations: ['81/9=9', '68-9=59']
Exploring Operation: 75-59=16, Resulting Numbers: [16]
16,14 unequal: No Solution
Exploring Operation: 75*59=4425, Resulting Numbers: [4425]
4425,14 unequal: No Solution
Exploring Operation: 75+59=134, Resulting Numbers: [134]
134,14 unequal: No Solution
Moving to Node #0,3,3
Current State: 14:[75, 77], Operations: ['81/9=9', '68+9=77']
Exploring Operation: 77-75=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Exploring Operation: 75+77=152, Resulting Numbers: [152]
152,14 unequal: No Solution
Exploring Operation: 75*77=5775, Resulting Numbers: [5775]
5775,14 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 |
[
37,
24,
40,
50
] | 42 | [
"40-37=3",
"24/3=8",
"50-8=42"
] | Current State: 42:[37, 24, 40, 50], Operations: []
Exploring Operation: 40-37=3, Resulting Numbers: [24, 50, 3]
Generated Node #2: [24, 50, 3] from Operation: 40-37=3
Current State: 42:[24, 50, 3], Operations: ['40-37=3']
Exploring Operation: 24/3=8, Resulting Numbers: [50, 8]
Generated Node #3: [50, 8] from Operation: 24/3=8
Current State: 42:[50, 8], Operations: ['40-37=3', '24/3=8']
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[37, 24, 40, 50], Operations: []
Exploring Operation: 50-37=13, Resulting Numbers: [24, 40, 13]
Generated Node #0,0: 42:[24, 40, 13] Operation: 50-37=13
Moving to Node #0,0
Current State: 42:[24, 40, 13], Operations: ['50-37=13']
Exploring Operation: 40-24=16, Resulting Numbers: [13, 16]
Generated Node #0,0,0: 42:[13, 16] Operation: 40-24=16
Moving to Node #0,0,0
Current State: 42:[13, 16], Operations: ['50-37=13', '40-24=16']
Exploring Operation: 16-13=3, Resulting Numbers: [3]
3,42 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
13,
65,
19,
7
] | 21 | [
"65/13=5",
"19+7=26",
"26-5=21"
] | Current State: 21:[13, 65, 19, 7], Operations: []
Exploring Operation: 65/13=5, Resulting Numbers: [19, 7, 5]
Generated Node #2: [19, 7, 5] from Operation: 65/13=5
Current State: 21:[19, 7, 5], Operations: ['65/13=5']
Exploring Operation: 19+7=26, Resulting Numbers: [5, 26]
Generated Node #3: [5, 26] from Operation: 19+7=26
Current State: 21:[5, 26], Operations: ['65/13=5', '19+7=26']
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[13, 65, 19, 7], Operations: []
Exploring Operation: 65-19=46, Resulting Numbers: [13, 7, 46]
Generated Node #0,0: 21:[13, 7, 46] Operation: 65-19=46
Exploring Operation: 65-13=52, Resulting Numbers: [19, 7, 52]
Generated Node #0,1: 21:[19, 7, 52] Operation: 65-13=52
Exploring Operation: 65/13=5, Resulting Numbers: [19, 7, 5]
Generated Node #0,2: 21:[19, 7, 5] Operation: 65/13=5
Moving to Node #0,2
Current State: 21:[19, 7, 5], Operations: ['65/13=5']
Exploring Operation: 19+5=24, Resulting Numbers: [7, 24]
Generated Node #0,2,0: 21:[7, 24] Operation: 19+5=24
Exploring Operation: 19+7=26, Resulting Numbers: [5, 26]
Generated Node #0,2,1: 21:[5, 26] Operation: 19+7=26
Exploring Operation: 7-5=2, Resulting Numbers: [19, 2]
Generated Node #0,2,2: 21:[19, 2] Operation: 7-5=2
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 21:[7, 24], Operations: ['65/13=5', '19+5=24']
Exploring Operation: 7*24=168, Resulting Numbers: [168]
168,21 unequal: No Solution
Exploring Operation: 7+24=31, Resulting Numbers: [31]
31,21 unequal: No Solution
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,21 unequal: No Solution
No 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: 21:[19, 2], Operations: ['65/13=5', '7-5=2']
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,21 unequal: No Solution
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[13, 65, 19, 7], Operations: []
Exploring Operation: 65/13=5, Resulting Numbers: [19, 7, 5]
Generated Node #0,2: 21:[19, 7, 5] Operation: 65/13=5
Moving to Node #0,2
Current State: 21:[19, 7, 5], Operations: ['65/13=5']
Exploring Operation: 7-5=2, Resulting Numbers: [19, 2]
Generated Node #0,2,2: 21:[19, 2] Operation: 7-5=2
Moving to Node #0,2,2
Current State: 21:[19, 2], Operations: ['65/13=5', '7-5=2']
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | sum_heuristic |
[
77,
4,
5,
24
] | 73 | [
"77-24=53",
"4*5=20",
"53+20=73"
] | Current State: 73:[77, 4, 5, 24], Operations: []
Exploring Operation: 77-24=53, Resulting Numbers: [4, 5, 53]
Generated Node #2: [4, 5, 53] from Operation: 77-24=53
Current State: 73:[4, 5, 53], Operations: ['77-24=53']
Exploring Operation: 4*5=20, Resulting Numbers: [53, 20]
Generated Node #3: [53, 20] from Operation: 4*5=20
Current State: 73:[53, 20], Operations: ['77-24=53', '4*5=20']
Exploring Operation: 53+20=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[77, 4, 5, 24], Operations: []
Exploring Operation: 77-4=73, Resulting Numbers: [5, 24, 73]
Generated Node #0,0: 73:[5, 24, 73] Operation: 77-4=73
Exploring Operation: 4*5=20, Resulting Numbers: [77, 24, 20]
Generated Node #0,1: 73:[77, 24, 20] Operation: 4*5=20
Exploring Operation: 4+5=9, Resulting Numbers: [77, 24, 9]
Generated Node #0,2: 73:[77, 24, 9] Operation: 4+5=9
Exploring Operation: 4+24=28, Resulting Numbers: [77, 5, 28]
Generated Node #0,3: 73:[77, 5, 28] Operation: 4+24=28
Exploring Operation: 4*24=96, Resulting Numbers: [77, 5, 96]
Generated Node #0,4: 73:[77, 5, 96] Operation: 4*24=96
Moving to Node #0,4
Current State: 73:[77, 5, 96], Operations: ['4*24=96']
Exploring Operation: 96-77=19, Resulting Numbers: [5, 19]
Generated Node #0,4,0: 73:[5, 19] Operation: 96-77=19
Exploring Operation: 77-5=72, Resulting Numbers: [96, 72]
Generated Node #0,4,1: 73:[96, 72] Operation: 77-5=72
Exploring Operation: 96-5=91, Resulting Numbers: [77, 91]
Generated Node #0,4,2: 73:[77, 91] Operation: 96-5=91
Exploring Operation: 77+5=82, Resulting Numbers: [96, 82]
Generated Node #0,4,3: 73:[96, 82] Operation: 77+5=82
Exploring Operation: 5+96=101, Resulting Numbers: [77, 101]
Generated Node #0,4,4: 73:[77, 101] Operation: 5+96=101
Moving to Node #0,1
Current State: 73:[77, 24, 20], Operations: ['4*5=20']
Exploring Operation: 24+20=44, Resulting Numbers: [77, 44]
Generated Node #0,1,0: 73:[77, 44] Operation: 24+20=44
Exploring Operation: 77+20=97, Resulting Numbers: [24, 97]
Generated Node #0,1,1: 73:[24, 97] Operation: 77+20=97
Exploring Operation: 77-24=53, Resulting Numbers: [20, 53]
Generated Node #0,1,2: 73:[20, 53] Operation: 77-24=53
Exploring Operation: 24-20=4, Resulting Numbers: [77, 4]
Generated Node #0,1,3: 73:[77, 4] Operation: 24-20=4
Exploring Operation: 77-20=57, Resulting Numbers: [24, 57]
Generated Node #0,1,4: 73:[24, 57] Operation: 77-20=57
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 73:[77, 44], Operations: ['4*5=20', '24+20=44']
Exploring Operation: 77*44=3388, Resulting Numbers: [3388]
3388,73 unequal: No Solution
Exploring Operation: 77-44=33, Resulting Numbers: [33]
33,73 unequal: No Solution
Exploring Operation: 77+44=121, Resulting Numbers: [121]
121,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 73:[24, 57], Operations: ['4*5=20', '77-20=57']
Exploring Operation: 57-24=33, Resulting Numbers: [33]
33,73 unequal: No Solution
Exploring Operation: 24*57=1368, Resulting Numbers: [1368]
1368,73 unequal: No Solution
Exploring Operation: 24+57=81, Resulting Numbers: [81]
81,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 73:[24, 97], Operations: ['4*5=20', '77+20=97']
Exploring Operation: 97-24=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[77, 4, 5, 24], Operations: []
Exploring Operation: 4*5=20, Resulting Numbers: [77, 24, 20]
Generated Node #0,1: 73:[77, 24, 20] Operation: 4*5=20
Moving to Node #0,1
Current State: 73:[77, 24, 20], Operations: ['4*5=20']
Exploring Operation: 77+20=97, Resulting Numbers: [24, 97]
Generated Node #0,1,1: 73:[24, 97] Operation: 77+20=97
Moving to Node #0,1,1
Current State: 73:[24, 97], Operations: ['4*5=20', '77+20=97']
Exploring Operation: 97-24=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_5 | mult_heuristic |
[
51,
32,
96,
1
] | 49 | [
"51+1=52",
"96/32=3",
"52-3=49"
] | Current State: 49:[51, 32, 96, 1], Operations: []
Exploring Operation: 51+1=52, Resulting Numbers: [32, 96, 52]
Generated Node #2: [32, 96, 52] from Operation: 51+1=52
Current State: 49:[32, 96, 52], Operations: ['51+1=52']
Exploring Operation: 96/32=3, Resulting Numbers: [52, 3]
Generated Node #3: [52, 3] from Operation: 96/32=3
Current State: 49:[52, 3], Operations: ['51+1=52', '96/32=3']
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[51, 32, 96, 1], Operations: []
Exploring Operation: 51-32=19, Resulting Numbers: [96, 1, 19]
Generated Node #0,0: 49:[96, 1, 19] Operation: 51-32=19
Exploring Operation: 96/32=3, Resulting Numbers: [51, 1, 3]
Generated Node #0,1: 49:[51, 1, 3] Operation: 96/32=3
Exploring Operation: 96-32=64, Resulting Numbers: [51, 1, 64]
Generated Node #0,2: 49:[51, 1, 64] Operation: 96-32=64
Exploring Operation: 96-51=45, Resulting Numbers: [32, 1, 45]
Generated Node #0,3: 49:[32, 1, 45] Operation: 96-51=45
Start Sub Search at level 1: Moving to Node #0,1
Current State: 49:[51, 1, 3], Operations: ['96/32=3']
Exploring Operation: 51-1=50, Resulting Numbers: [3, 50]
Generated Node #0,1,0: 49:[3, 50] Operation: 51-1=50
Exploring Operation: 1+3=4, Resulting Numbers: [51, 4]
Generated Node #0,1,1: 49:[51, 4] Operation: 1+3=4
Exploring Operation: 51*1=51, Resulting Numbers: [3, 51]
Generated Node #0,1,2: 49:[3, 51] Operation: 51*1=51
Exploring Operation: 51/1=51, Resulting Numbers: [3, 51]
Generated Node #0,1,3: 49:[3, 51] Operation: 51/1=51
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 49:[3, 50], Operations: ['96/32=3', '51-1=50']
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,49 unequal: No Solution
Exploring Operation: 3+50=53, Resulting Numbers: [53]
53,49 unequal: No Solution
Exploring Operation: 3*50=150, Resulting Numbers: [150]
150,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 49:[51, 4], Operations: ['96/32=3', '1+3=4']
Exploring Operation: 51+4=55, Resulting Numbers: [55]
55,49 unequal: No Solution
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,49 unequal: No Solution
Exploring Operation: 51*4=204, Resulting Numbers: [204]
204,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 49:[3, 51], Operations: ['96/32=3', '51*1=51']
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,49 unequal: No Solution
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,49 unequal: No Solution
Exploring Operation: 3+51=54, Resulting Numbers: [54]
54,49 unequal: No Solution
Exploring Operation: 3*51=153, Resulting Numbers: [153]
153,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 49:[3, 51], Operations: ['96/32=3', '51/1=51']
Exploring Operation: 3+51=54, Resulting Numbers: [54]
54,49 unequal: No Solution
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,49 unequal: No Solution
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,49 unequal: No Solution
Exploring Operation: 3*51=153, Resulting Numbers: [153]
153,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 49:[51, 1, 64], Operations: ['96-32=64']
Exploring Operation: 51-1=50, Resulting Numbers: [64, 50]
Generated Node #0,2,0: 49:[64, 50] Operation: 51-1=50
Exploring Operation: 64-1=63, Resulting Numbers: [51, 63]
Generated Node #0,2,1: 49:[51, 63] Operation: 64-1=63
Exploring Operation: 51*1=51, Resulting Numbers: [64, 51]
Generated Node #0,2,2: 49:[64, 51] Operation: 51*1=51
Exploring Operation: 64-51=13, Resulting Numbers: [1, 13]
Generated Node #0,2,3: 49:[1, 13] Operation: 64-51=13
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 49:[1, 13], Operations: ['96-32=64', '64-51=13']
Exploring Operation: 1+13=14, Resulting Numbers: [14]
14,49 unequal: No Solution
Exploring Operation: 1*13=13, Resulting Numbers: [13]
13,49 unequal: No Solution
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,49 unequal: No Solution
Exploring Operation: 13/1=13, Resulting Numbers: [13]
13,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 49:[64, 50], Operations: ['96-32=64', '51-1=50']
Exploring Operation: 64-50=14, Resulting Numbers: [14]
14,49 unequal: No Solution
Exploring Operation: 64*50=3200, Resulting Numbers: [3200]
3200,49 unequal: No Solution
Exploring Operation: 64+50=114, Resulting Numbers: [114]
114,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 49:[51, 63], Operations: ['96-32=64', '64-1=63']
Exploring Operation: 51+63=114, Resulting Numbers: [114]
114,49 unequal: No Solution
Exploring Operation: 51*63=3213, Resulting Numbers: [3213]
3213,49 unequal: No Solution
Exploring Operation: 63-51=12, Resulting Numbers: [12]
12,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 49:[64, 51], Operations: ['96-32=64', '51*1=51']
Exploring Operation: 64-51=13, Resulting Numbers: [13]
13,49 unequal: No Solution
Exploring Operation: 64+51=115, Resulting Numbers: [115]
115,49 unequal: No Solution
Exploring Operation: 64*51=3264, Resulting Numbers: [3264]
3264,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 49:[32, 1, 45], Operations: ['96-51=45']
Exploring Operation: 1+45=46, Resulting Numbers: [32, 46]
Generated Node #0,3,0: 49:[32, 46] Operation: 1+45=46
Exploring Operation: 32+1=33, Resulting Numbers: [45, 33]
Generated Node #0,3,1: 49:[45, 33] Operation: 32+1=33
Exploring Operation: 32*1=32, Resulting Numbers: [45, 32]
Generated Node #0,3,2: 49:[45, 32] Operation: 32*1=32
Exploring Operation: 45-32=13, Resulting Numbers: [1, 13]
Generated Node #0,3,3: 49:[1, 13] Operation: 45-32=13
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 49:[1, 13], Operations: ['96-51=45', '45-32=13']
Exploring Operation: 13/1=13, Resulting Numbers: [13]
13,49 unequal: No Solution
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,49 unequal: No Solution
Exploring Operation: 1*13=13, Resulting Numbers: [13]
13,49 unequal: No Solution
Exploring Operation: 1+13=14, Resulting Numbers: [14]
14,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 49:[32, 46], Operations: ['96-51=45', '1+45=46']
Exploring Operation: 32+46=78, Resulting Numbers: [78]
78,49 unequal: No Solution
Exploring Operation: 46-32=14, Resulting Numbers: [14]
14,49 unequal: No Solution
Exploring Operation: 32*46=1472, Resulting Numbers: [1472]
1472,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 49:[45, 33], Operations: ['96-51=45', '32+1=33']
Exploring Operation: 45+33=78, Resulting Numbers: [78]
78,49 unequal: No Solution
Exploring Operation: 45-33=12, Resulting Numbers: [12]
12,49 unequal: No Solution
Exploring Operation: 45*33=1485, Resulting Numbers: [1485]
1485,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 49:[45, 32], Operations: ['96-51=45', '32*1=32']
Exploring Operation: 45*32=1440, Resulting Numbers: [1440]
1440,49 unequal: No Solution
Exploring Operation: 45-32=13, Resulting Numbers: [13]
13,49 unequal: No Solution
Exploring Operation: 45+32=77, Resulting Numbers: [77]
77,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[96, 1, 19], Operations: ['51-32=19']
Exploring Operation: 19-1=18, Resulting Numbers: [96, 18]
Generated Node #0,0,0: 49:[96, 18] Operation: 19-1=18
Exploring Operation: 96*1=96, Resulting Numbers: [19, 96]
Generated Node #0,0,1: 49:[19, 96] Operation: 96*1=96
Exploring Operation: 96-19=77, Resulting Numbers: [1, 77]
Generated Node #0,0,2: 49:[1, 77] Operation: 96-19=77
Exploring Operation: 96-1=95, Resulting Numbers: [19, 95]
Generated Node #0,0,3: 49:[19, 95] Operation: 96-1=95
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 49:[1, 77], Operations: ['51-32=19', '96-19=77']
Exploring Operation: 1+77=78, Resulting Numbers: [78]
78,49 unequal: No Solution
Exploring Operation: 77-1=76, Resulting Numbers: [76]
76,49 unequal: No Solution
Exploring Operation: 1*77=77, Resulting Numbers: [77]
77,49 unequal: No Solution
Exploring Operation: 77/1=77, Resulting Numbers: [77]
77,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 49:[96, 18], Operations: ['51-32=19', '19-1=18']
Exploring Operation: 96+18=114, Resulting Numbers: [114]
114,49 unequal: No Solution
Exploring Operation: 96-18=78, Resulting Numbers: [78]
78,49 unequal: No Solution
Exploring Operation: 96*18=1728, Resulting Numbers: [1728]
1728,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 49:[19, 95], Operations: ['51-32=19', '96-1=95']
Exploring Operation: 95-19=76, Resulting Numbers: [76]
76,49 unequal: No Solution
Exploring Operation: 19+95=114, Resulting Numbers: [114]
114,49 unequal: No Solution
Exploring Operation: 19*95=1805, Resulting Numbers: [1805]
1805,49 unequal: No Solution
Exploring Operation: 95/19=5, Resulting Numbers: [5]
5,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 49:[19, 96], Operations: ['51-32=19', '96*1=96']
Exploring Operation: 19+96=115, Resulting Numbers: [115]
115,49 unequal: No Solution
Exploring Operation: 96-19=77, Resulting Numbers: [77]
77,49 unequal: No Solution
Exploring Operation: 19*96=1824, Resulting Numbers: [1824]
1824,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
35,
90,
60,
37
] | 75 | [
"35+37=72",
"90*60=5400",
"5400/72=75"
] | Current State: 75:[35, 90, 60, 37], Operations: []
Exploring Operation: 35+37=72, Resulting Numbers: [90, 60, 72]
Generated Node #2: [90, 60, 72] from Operation: 35+37=72
Current State: 75:[90, 60, 72], Operations: ['35+37=72']
Exploring Operation: 90*60=5400, Resulting Numbers: [72, 5400]
Generated Node #3: [72, 5400] from Operation: 90*60=5400
Current State: 75:[72, 5400], Operations: ['35+37=72', '90*60=5400']
Exploring Operation: 5400/72=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[35, 90, 60, 37], Operations: []
Exploring Operation: 60-35=25, Resulting Numbers: [90, 37, 25]
Generated Node #0,0: 75:[90, 37, 25] Operation: 60-35=25
Exploring Operation: 90-60=30, Resulting Numbers: [35, 37, 30]
Generated Node #0,1: 75:[35, 37, 30] Operation: 90-60=30
Exploring Operation: 60-37=23, Resulting Numbers: [35, 90, 23]
Generated Node #0,2: 75:[35, 90, 23] Operation: 60-37=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[90, 37, 25], Operations: ['60-35=25']
Exploring Operation: 37-25=12, Resulting Numbers: [90, 12]
Generated Node #0,0,0: 75:[90, 12] Operation: 37-25=12
Exploring Operation: 90-37=53, Resulting Numbers: [25, 53]
Generated Node #0,0,1: 75:[25, 53] Operation: 90-37=53
Exploring Operation: 90-25=65, Resulting Numbers: [37, 65]
Generated Node #0,0,2: 75:[37, 65] Operation: 90-25=65
Moving to Node #0,0,0
Current State: 75:[90, 12], Operations: ['60-35=25', '37-25=12']
Exploring Operation: 90*12=1080, Resulting Numbers: [1080]
1080,75 unequal: No Solution
Exploring Operation: 90+12=102, Resulting Numbers: [102]
102,75 unequal: No Solution
Exploring Operation: 90-12=78, Resulting Numbers: [78]
78,75 unequal: No Solution
Moving to Node #0,0,1
Current State: 75:[25, 53], Operations: ['60-35=25', '90-37=53']
Exploring Operation: 25*53=1325, Resulting Numbers: [1325]
1325,75 unequal: No Solution
Exploring Operation: 25+53=78, Resulting Numbers: [78]
78,75 unequal: No Solution
Exploring Operation: 53-25=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Moving to Node #0,0,2
Current State: 75:[37, 65], Operations: ['60-35=25', '90-25=65']
Exploring Operation: 37*65=2405, Resulting Numbers: [2405]
2405,75 unequal: No Solution
Exploring Operation: 37+65=102, Resulting Numbers: [102]
102,75 unequal: No Solution
Exploring Operation: 65-37=28, Resulting Numbers: [28]
28,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[35, 37, 30], Operations: ['90-60=30']
Exploring Operation: 37-35=2, Resulting Numbers: [30, 2]
Generated Node #0,1,0: 75:[30, 2] Operation: 37-35=2
Exploring Operation: 35-30=5, Resulting Numbers: [37, 5]
Generated Node #0,1,1: 75:[37, 5] Operation: 35-30=5
Exploring Operation: 35+37=72, Resulting Numbers: [30, 72]
Generated Node #0,1,2: 75:[30, 72] Operation: 35+37=72
Moving to Node #0,1,0
Current State: 75:[30, 2], Operations: ['90-60=30', '37-35=2']
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Exploring Operation: 30+2=32, Resulting Numbers: [32]
32,75 unequal: No Solution
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,75 unequal: No Solution
Moving to Node #0,1,2
Current State: 75:[30, 72], Operations: ['90-60=30', '35+37=72']
Exploring Operation: 30*72=2160, Resulting Numbers: [2160]
2160,75 unequal: No Solution
Exploring Operation: 72-30=42, Resulting Numbers: [42]
42,75 unequal: No Solution
Exploring Operation: 30+72=102, Resulting Numbers: [102]
102,75 unequal: No Solution
Moving to Node #0,1,1
Current State: 75:[37, 5], Operations: ['90-60=30', '35-30=5']
Exploring Operation: 37+5=42, Resulting Numbers: [42]
42,75 unequal: No Solution
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,75 unequal: No Solution
Exploring Operation: 37*5=185, Resulting Numbers: [185]
185,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[35, 90, 23], Operations: ['60-37=23']
Exploring Operation: 35-23=12, Resulting Numbers: [90, 12]
Generated Node #0,2,0: 75:[90, 12] Operation: 35-23=12
Exploring Operation: 90-23=67, Resulting Numbers: [35, 67]
Generated Node #0,2,1: 75:[35, 67] Operation: 90-23=67
Exploring Operation: 90-35=55, Resulting Numbers: [23, 55]
Generated Node #0,2,2: 75:[23, 55] Operation: 90-35=55
Moving to Node #0,2,0
Current State: 75:[90, 12], Operations: ['60-37=23', '35-23=12']
Exploring Operation: 90+12=102, Resulting Numbers: [102]
102,75 unequal: No Solution
Exploring Operation: 90*12=1080, Resulting Numbers: [1080]
1080,75 unequal: No Solution
Exploring Operation: 90-12=78, Resulting Numbers: [78]
78,75 unequal: No Solution
Moving to Node #0,2,1
Current State: 75:[35, 67], Operations: ['60-37=23', '90-23=67']
Exploring Operation: 35*67=2345, Resulting Numbers: [2345]
2345,75 unequal: No Solution
Exploring Operation: 67-35=32, Resulting Numbers: [32]
32,75 unequal: No Solution
Exploring Operation: 35+67=102, Resulting Numbers: [102]
102,75 unequal: No Solution
Moving to Node #0,2,2
Current State: 75:[23, 55], Operations: ['60-37=23', '90-35=55']
Exploring Operation: 23+55=78, Resulting Numbers: [78]
78,75 unequal: No Solution
Exploring Operation: 23*55=1265, Resulting Numbers: [1265]
1265,75 unequal: No Solution
Exploring Operation: 55-23=32, Resulting Numbers: [32]
32,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
69,
85,
81,
24
] | 27 | [
"85-81=4",
"24*4=96",
"96-69=27"
] | Current State: 27:[69, 85, 81, 24], Operations: []
Exploring Operation: 85-81=4, Resulting Numbers: [69, 24, 4]
Generated Node #2: [69, 24, 4] from Operation: 85-81=4
Current State: 27:[69, 24, 4], Operations: ['85-81=4']
Exploring Operation: 24*4=96, Resulting Numbers: [69, 96]
Generated Node #3: [69, 96] from Operation: 24*4=96
Current State: 27:[69, 96], Operations: ['85-81=4', '24*4=96']
Exploring Operation: 96-69=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[69, 85, 81, 24], Operations: []
Exploring Operation: 85-81=4, Resulting Numbers: [69, 24, 4]
Generated Node #0,0: 27:[69, 24, 4] Operation: 85-81=4
Exploring Operation: 85-24=61, Resulting Numbers: [69, 81, 61]
Generated Node #0,1: 27:[69, 81, 61] Operation: 85-24=61
Exploring Operation: 69-24=45, Resulting Numbers: [85, 81, 45]
Generated Node #0,2: 27:[85, 81, 45] Operation: 69-24=45
Exploring Operation: 85-69=16, Resulting Numbers: [81, 24, 16]
Generated Node #0,3: 27:[81, 24, 16] Operation: 85-69=16
Exploring Operation: 81-69=12, Resulting Numbers: [85, 24, 12]
Generated Node #0,4: 27:[85, 24, 12] Operation: 81-69=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[69, 24, 4], Operations: ['85-81=4']
Exploring Operation: 69+4=73, Resulting Numbers: [24, 73]
Generated Node #0,0,0: 27:[24, 73] Operation: 69+4=73
Exploring Operation: 69-24=45, Resulting Numbers: [4, 45]
Generated Node #0,0,1: 27:[4, 45] Operation: 69-24=45
Exploring Operation: 24/4=6, Resulting Numbers: [69, 6]
Generated Node #0,0,2: 27:[69, 6] Operation: 24/4=6
Exploring Operation: 24+4=28, Resulting Numbers: [69, 28]
Generated Node #0,0,3: 27:[69, 28] Operation: 24+4=28
Exploring Operation: 69-4=65, Resulting Numbers: [24, 65]
Generated Node #0,0,4: 27:[24, 65] Operation: 69-4=65
Moving to Node #0,0,1
Current State: 27:[4, 45], Operations: ['85-81=4', '69-24=45']
Exploring Operation: 4+45=49, Resulting Numbers: [49]
49,27 unequal: No Solution
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,27 unequal: No Solution
Exploring Operation: 4*45=180, Resulting Numbers: [180]
180,27 unequal: No Solution
Moving to Node #0,0,4
Current State: 27:[24, 65], Operations: ['85-81=4', '69-4=65']
Exploring Operation: 65-24=41, Resulting Numbers: [41]
41,27 unequal: No Solution
Exploring Operation: 24*65=1560, Resulting Numbers: [1560]
1560,27 unequal: No Solution
Exploring Operation: 24+65=89, Resulting Numbers: [89]
89,27 unequal: No Solution
Moving to Node #0,0,3
Current State: 27:[69, 28], Operations: ['85-81=4', '24+4=28']
Exploring Operation: 69+28=97, Resulting Numbers: [97]
97,27 unequal: No Solution
Exploring Operation: 69-28=41, Resulting Numbers: [41]
41,27 unequal: No Solution
Exploring Operation: 69*28=1932, Resulting Numbers: [1932]
1932,27 unequal: No Solution
Moving to Node #0,0,2
Current State: 27:[69, 6], Operations: ['85-81=4', '24/4=6']
Exploring Operation: 69-6=63, Resulting Numbers: [63]
63,27 unequal: No Solution
Exploring Operation: 69+6=75, Resulting Numbers: [75]
75,27 unequal: No Solution
Exploring Operation: 69*6=414, Resulting Numbers: [414]
414,27 unequal: No Solution
Moving to Node #0,0,0
Current State: 27:[24, 73], Operations: ['85-81=4', '69+4=73']
Exploring Operation: 24+73=97, Resulting Numbers: [97]
97,27 unequal: No Solution
Exploring Operation: 24*73=1752, Resulting Numbers: [1752]
1752,27 unequal: No Solution
Exploring Operation: 73-24=49, Resulting Numbers: [49]
49,27 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 #0,3
Current State: 27:[81, 24, 16], Operations: ['85-69=16']
Exploring Operation: 81+16=97, Resulting Numbers: [24, 97]
Generated Node #0,3,0: 27:[24, 97] Operation: 81+16=97
Exploring Operation: 24-16=8, Resulting Numbers: [81, 8]
Generated Node #0,3,1: 27:[81, 8] Operation: 24-16=8
Exploring Operation: 81-24=57, Resulting Numbers: [16, 57]
Generated Node #0,3,2: 27:[16, 57] Operation: 81-24=57
Exploring Operation: 81-16=65, Resulting Numbers: [24, 65]
Generated Node #0,3,3: 27:[24, 65] Operation: 81-16=65
Exploring Operation: 24+16=40, Resulting Numbers: [81, 40]
Generated Node #0,3,4: 27:[81, 40] Operation: 24+16=40
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 27:[16, 57], Operations: ['85-69=16', '81-24=57']
Exploring Operation: 57-16=41, Resulting Numbers: [41]
41,27 unequal: No Solution
Exploring Operation: 16+57=73, Resulting Numbers: [73]
73,27 unequal: No Solution
Exploring Operation: 16*57=912, Resulting Numbers: [912]
912,27 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 #0,3,3
Current State: 27:[24, 65], Operations: ['85-69=16', '81-16=65']
Exploring Operation: 65-24=41, Resulting Numbers: [41]
41,27 unequal: No Solution
Exploring Operation: 24+65=89, Resulting Numbers: [89]
89,27 unequal: No Solution
Exploring Operation: 24*65=1560, Resulting Numbers: [1560]
1560,27 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 #0,3,1
Current State: 27:[81, 8], Operations: ['85-69=16', '24-16=8']
Exploring Operation: 81-8=73, Resulting Numbers: [73]
73,27 unequal: No Solution
Exploring Operation: 81*8=648, Resulting Numbers: [648]
648,27 unequal: No Solution
Exploring Operation: 81+8=89, Resulting Numbers: [89]
89,27 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 #0,3,4
Current State: 27:[81, 40], Operations: ['85-69=16', '24+16=40']
Exploring Operation: 81-40=41, Resulting Numbers: [41]
41,27 unequal: No Solution
Exploring Operation: 81+40=121, Resulting Numbers: [121]
121,27 unequal: No Solution
Exploring Operation: 81*40=3240, Resulting Numbers: [3240]
3240,27 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 #0,3,0
Current State: 27:[24, 97], Operations: ['85-69=16', '81+16=97']
Exploring Operation: 24*97=2328, Resulting Numbers: [2328]
2328,27 unequal: No Solution
Exploring Operation: 24+97=121, Resulting Numbers: [121]
121,27 unequal: No Solution
Exploring Operation: 97-24=73, Resulting Numbers: [73]
73,27 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: 27:[85, 24, 12], Operations: ['81-69=12']
Exploring Operation: 85-12=73, Resulting Numbers: [24, 73]
Generated Node #0,4,0: 27:[24, 73] Operation: 85-12=73
Exploring Operation: 24-12=12, Resulting Numbers: [85, 12]
Generated Node #0,4,1: 27:[85, 12] Operation: 24-12=12
Exploring Operation: 85-24=61, Resulting Numbers: [12, 61]
Generated Node #0,4,2: 27:[12, 61] Operation: 85-24=61
Exploring Operation: 24/12=2, Resulting Numbers: [85, 2]
Generated Node #0,4,3: 27:[85, 2] Operation: 24/12=2
Exploring Operation: 24+12=36, Resulting Numbers: [85, 36]
Generated Node #0,4,4: 27:[85, 36] Operation: 24+12=36
Moving to Node #0,4,2
Current State: 27:[12, 61], Operations: ['81-69=12', '85-24=61']
Exploring Operation: 61-12=49, Resulting Numbers: [49]
49,27 unequal: No Solution
Exploring Operation: 12*61=732, Resulting Numbers: [732]
732,27 unequal: No Solution
Exploring Operation: 12+61=73, Resulting Numbers: [73]
73,27 unequal: No Solution
Moving to Node #0,4,0
Current State: 27:[24, 73], Operations: ['81-69=12', '85-12=73']
Exploring Operation: 73-24=49, Resulting Numbers: [49]
49,27 unequal: No Solution
Exploring Operation: 24+73=97, Resulting Numbers: [97]
97,27 unequal: No Solution
Exploring Operation: 24*73=1752, Resulting Numbers: [1752]
1752,27 unequal: No Solution
Moving to Node #0,4,3
Current State: 27:[85, 2], Operations: ['81-69=12', '24/12=2']
Exploring Operation: 85+2=87, Resulting Numbers: [87]
87,27 unequal: No Solution
Exploring Operation: 85*2=170, Resulting Numbers: [170]
170,27 unequal: No Solution
Exploring Operation: 85-2=83, Resulting Numbers: [83]
83,27 unequal: No Solution
Moving to Node #0,4,1
Current State: 27:[85, 12], Operations: ['81-69=12', '24-12=12']
Exploring Operation: 85*12=1020, Resulting Numbers: [1020]
1020,27 unequal: No Solution
Exploring Operation: 85-12=73, Resulting Numbers: [73]
73,27 unequal: No Solution
Exploring Operation: 85+12=97, Resulting Numbers: [97]
97,27 unequal: No Solution
Moving to Node #0,4,4
Current State: 27:[85, 36], Operations: ['81-69=12', '24+12=36']
Exploring Operation: 85+36=121, Resulting Numbers: [121]
121,27 unequal: No Solution
Exploring Operation: 85-36=49, Resulting Numbers: [49]
49,27 unequal: No Solution
Exploring Operation: 85*36=3060, Resulting Numbers: [3060]
3060,27 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 #0,1
Current State: 27:[69, 81, 61], Operations: ['85-24=61']
Exploring Operation: 81-61=20, Resulting Numbers: [69, 20]
Generated Node #0,1,0: 27:[69, 20] Operation: 81-61=20
Exploring Operation: 69+61=130, Resulting Numbers: [81, 130]
Generated Node #0,1,1: 27:[81, 130] Operation: 69+61=130
Exploring Operation: 69-61=8, Resulting Numbers: [81, 8]
Generated Node #0,1,2: 27:[81, 8] Operation: 69-61=8
Exploring Operation: 69+81=150, Resulting Numbers: [61, 150]
Generated Node #0,1,3: 27:[61, 150] Operation: 69+81=150
Exploring Operation: 81-69=12, Resulting Numbers: [61, 12]
Generated Node #0,1,4: 27:[61, 12] Operation: 81-69=12
Moving to Node #0,1,4
Current State: 27:[61, 12], Operations: ['85-24=61', '81-69=12']
Exploring Operation: 61*12=732, Resulting Numbers: [732]
732,27 unequal: No Solution
Exploring Operation: 61-12=49, Resulting Numbers: [49]
49,27 unequal: No Solution
Exploring Operation: 61+12=73, Resulting Numbers: [73]
73,27 unequal: No Solution
Moving to Node #0,1,0
Current State: 27:[69, 20], Operations: ['85-24=61', '81-61=20']
Exploring Operation: 69*20=1380, Resulting Numbers: [1380]
1380,27 unequal: No Solution
Exploring Operation: 69+20=89, Resulting Numbers: [89]
89,27 unequal: No Solution
Exploring Operation: 69-20=49, Resulting Numbers: [49]
49,27 unequal: No Solution
Moving to Node #0,1,2
Current State: 27:[81, 8], Operations: ['85-24=61', '69-61=8']
Exploring Operation: 81-8=73, Resulting Numbers: [73]
73,27 unequal: No Solution
Exploring Operation: 81*8=648, Resulting Numbers: [648]
648,27 unequal: No Solution
Exploring Operation: 81+8=89, Resulting Numbers: [89]
89,27 unequal: No Solution
Moving to Node #0,1,1
Current State: 27:[81, 130], Operations: ['85-24=61', '69+61=130']
Exploring Operation: 130-81=49, Resulting Numbers: [49]
49,27 unequal: No Solution
Exploring Operation: 81*130=10530, Resulting Numbers: [10530]
10530,27 unequal: No Solution
Exploring Operation: 81+130=211, Resulting Numbers: [211]
211,27 unequal: No Solution
Moving to Node #0,1,3
Current State: 27:[61, 150], Operations: ['85-24=61', '69+81=150']
Exploring Operation: 61*150=9150, Resulting Numbers: [9150]
9150,27 unequal: No Solution
Exploring Operation: 150-61=89, Resulting Numbers: [89]
89,27 unequal: No Solution
Exploring Operation: 61+150=211, Resulting Numbers: [211]
211,27 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:[85, 81, 45], Operations: ['69-24=45']
Exploring Operation: 85+81=166, Resulting Numbers: [45, 166]
Generated Node #0,2,0: 27:[45, 166] Operation: 85+81=166
Exploring Operation: 85-81=4, Resulting Numbers: [45, 4]
Generated Node #0,2,1: 27:[45, 4] Operation: 85-81=4
Exploring Operation: 85+45=130, Resulting Numbers: [81, 130]
Generated Node #0,2,2: 27:[81, 130] Operation: 85+45=130
Exploring Operation: 85-45=40, Resulting Numbers: [81, 40]
Generated Node #0,2,3: 27:[81, 40] Operation: 85-45=40
Exploring Operation: 81-45=36, Resulting Numbers: [85, 36]
Generated Node #0,2,4: 27:[85, 36] Operation: 81-45=36
Moving to Node #0,2,1
Current State: 27:[45, 4], Operations: ['69-24=45', '85-81=4']
Exploring Operation: 45*4=180, Resulting Numbers: [180]
180,27 unequal: No Solution
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,27 unequal: No Solution
Exploring Operation: 45+4=49, Resulting Numbers: [49]
49,27 unequal: No Solution
Moving to Node #0,2,4
Current State: 27:[85, 36], Operations: ['69-24=45', '81-45=36']
Exploring Operation: 85-36=49, Resulting Numbers: [49]
49,27 unequal: No Solution
Exploring Operation: 85*36=3060, Resulting Numbers: [3060]
3060,27 unequal: No Solution
Exploring Operation: 85+36=121, Resulting Numbers: [121]
121,27 unequal: No Solution
Moving to Node #0,2,3
Current State: 27:[81, 40], Operations: ['69-24=45', '85-45=40']
Exploring Operation: 81+40=121, Resulting Numbers: [121]
121,27 unequal: No Solution
Exploring Operation: 81-40=41, Resulting Numbers: [41]
41,27 unequal: No Solution
Exploring Operation: 81*40=3240, Resulting Numbers: [3240]
3240,27 unequal: No Solution
Moving to Node #0,2,0
Current State: 27:[45, 166], Operations: ['69-24=45', '85+81=166']
Exploring Operation: 45+166=211, Resulting Numbers: [211]
211,27 unequal: No Solution
Exploring Operation: 45*166=7470, Resulting Numbers: [7470]
7470,27 unequal: No Solution
Exploring Operation: 166-45=121, Resulting Numbers: [121]
121,27 unequal: No Solution
Moving to Node #0,2,2
Current State: 27:[81, 130], Operations: ['69-24=45', '85+45=130']
Exploring Operation: 81+130=211, Resulting Numbers: [211]
211,27 unequal: No Solution
Exploring Operation: 81*130=10530, Resulting Numbers: [10530]
10530,27 unequal: No Solution
Exploring Operation: 130-81=49, Resulting Numbers: [49]
49,27 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 |
[
40,
7,
49,
98
] | 63 | [
"40+49=89",
"98-89=9",
"7*9=63"
] | Current State: 63:[40, 7, 49, 98], Operations: []
Exploring Operation: 40+49=89, Resulting Numbers: [7, 98, 89]
Generated Node #2: [7, 98, 89] from Operation: 40+49=89
Current State: 63:[7, 98, 89], Operations: ['40+49=89']
Exploring Operation: 98-89=9, Resulting Numbers: [7, 9]
Generated Node #3: [7, 9] from Operation: 98-89=9
Current State: 63:[7, 9], Operations: ['40+49=89', '98-89=9']
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[40, 7, 49, 98], Operations: []
Exploring Operation: 98-40=58, Resulting Numbers: [7, 49, 58]
Generated Node #0,0: 63:[7, 49, 58] Operation: 98-40=58
Exploring Operation: 98/49=2, Resulting Numbers: [40, 7, 2]
Generated Node #0,1: 63:[40, 7, 2] Operation: 98/49=2
Exploring Operation: 98-49=49, Resulting Numbers: [40, 7, 49]
Generated Node #0,2: 63:[40, 7, 49] Operation: 98-49=49
Exploring Operation: 49-40=9, Resulting Numbers: [7, 98, 9]
Generated Node #0,3: 63:[7, 98, 9] Operation: 49-40=9
Moving to Node #0,0
Current State: 63:[7, 49, 58], Operations: ['98-40=58']
Exploring Operation: 7+49=56, Resulting Numbers: [58, 56]
Generated Node #0,0,0: 63:[58, 56] Operation: 7+49=56
Exploring Operation: 7+58=65, Resulting Numbers: [49, 65]
Generated Node #0,0,1: 63:[49, 65] Operation: 7+58=65
Exploring Operation: 49/7=7, Resulting Numbers: [58, 7]
Generated Node #0,0,2: 63:[58, 7] Operation: 49/7=7
Exploring Operation: 58-49=9, Resulting Numbers: [7, 9]
Generated Node #0,0,3: 63:[7, 9] Operation: 58-49=9
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 63:[7, 9], Operations: ['98-40=58', '58-49=9']
Exploring Operation: 7+9=16, Resulting Numbers: [16]
16,63 unequal: No Solution
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[40, 7, 49, 98], Operations: []
Exploring Operation: 98-40=58, Resulting Numbers: [7, 49, 58]
Generated Node #0,0: 63:[7, 49, 58] Operation: 98-40=58
Moving to Node #0,0
Current State: 63:[7, 49, 58], Operations: ['98-40=58']
Exploring Operation: 58-49=9, Resulting Numbers: [7, 9]
Generated Node #0,0,3: 63:[7, 9] Operation: 58-49=9
Moving to Node #0,0,3
Current State: 63:[7, 9], Operations: ['98-40=58', '58-49=9']
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
27,
35,
23,
81
] | 54 | [
"81-35=46",
"27*46=1242",
"1242/23=54"
] | Current State: 54:[27, 35, 23, 81], Operations: []
Exploring Operation: 81-35=46, Resulting Numbers: [27, 23, 46]
Generated Node #2: [27, 23, 46] from Operation: 81-35=46
Current State: 54:[27, 23, 46], Operations: ['81-35=46']
Exploring Operation: 27*46=1242, Resulting Numbers: [23, 1242]
Generated Node #3: [23, 1242] from Operation: 27*46=1242
Current State: 54:[23, 1242], Operations: ['81-35=46', '27*46=1242']
Exploring Operation: 1242/23=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[27, 35, 23, 81], Operations: []
Exploring Operation: 81-27=54, Resulting Numbers: [35, 23, 54]
Generated Node #0,0: 54:[35, 23, 54] Operation: 81-27=54
Exploring Operation: 81-35=46, Resulting Numbers: [27, 23, 46]
Generated Node #0,1: 54:[27, 23, 46] Operation: 81-35=46
Exploring Operation: 81/27=3, Resulting Numbers: [35, 23, 3]
Generated Node #0,2: 54:[35, 23, 3] Operation: 81/27=3
Moving to Node #0,0
Current State: 54:[35, 23, 54], Operations: ['81-27=54']
Exploring Operation: 35-23=12, Resulting Numbers: [54, 12]
Generated Node #0,0,0: 54:[54, 12] Operation: 35-23=12
Exploring Operation: 35+23=58, Resulting Numbers: [54, 58]
Generated Node #0,0,1: 54:[54, 58] Operation: 35+23=58
Exploring Operation: 54-35=19, Resulting Numbers: [23, 19]
Generated Node #0,0,2: 54:[23, 19] Operation: 54-35=19
Moving to Node #0,1
Current State: 54:[27, 23, 46], Operations: ['81-35=46']
Exploring Operation: 46-23=23, Resulting Numbers: [27, 23]
Generated Node #0,1,0: 54:[27, 23] Operation: 46-23=23
Exploring Operation: 46/23=2, Resulting Numbers: [27, 2]
Generated Node #0,1,1: 54:[27, 2] Operation: 46/23=2
Exploring Operation: 46-27=19, Resulting Numbers: [23, 19]
Generated Node #0,1,2: 54:[23, 19] Operation: 46-27=19
Moving to Node #0,2
Current State: 54:[35, 23, 3], Operations: ['81/27=3']
Exploring Operation: 35-23=12, Resulting Numbers: [3, 12]
Generated Node #0,2,0: 54:[3, 12] Operation: 35-23=12
Exploring Operation: 35+23=58, Resulting Numbers: [3, 58]
Generated Node #0,2,1: 54:[3, 58] Operation: 35+23=58
Exploring Operation: 35-3=32, Resulting Numbers: [23, 32]
Generated Node #0,2,2: 54:[23, 32] Operation: 35-3=32
Moving to Node #0,1,1
Current State: 54:[27, 2], Operations: ['81-35=46', '46/23=2']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,54 unequal: No Solution
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[27, 35, 23, 81], Operations: []
Exploring Operation: 81-35=46, Resulting Numbers: [27, 23, 46]
Generated Node #0,1: 54:[27, 23, 46] Operation: 81-35=46
Moving to Node #0,1
Current State: 54:[27, 23, 46], Operations: ['81-35=46']
Exploring Operation: 46/23=2, Resulting Numbers: [27, 2]
Generated Node #0,1,1: 54:[27, 2] Operation: 46/23=2
Moving to Node #0,1,1
Current State: 54:[27, 2], Operations: ['81-35=46', '46/23=2']
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 0.983507 | hs_3 | mult_heuristic |
[
40,
93,
18,
95
] | 44 | [
"40-18=22",
"95-93=2",
"22*2=44"
] | Current State: 44:[40, 93, 18, 95], Operations: []
Exploring Operation: 40-18=22, Resulting Numbers: [93, 95, 22]
Generated Node #2: [93, 95, 22] from Operation: 40-18=22
Current State: 44:[93, 95, 22], Operations: ['40-18=22']
Exploring Operation: 95-93=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 95-93=2
Current State: 44:[22, 2], Operations: ['40-18=22', '95-93=2']
Exploring Operation: 22*2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[40, 93, 18, 95], Operations: []
Exploring Operation: 93-40=53, Resulting Numbers: [18, 95, 53]
Generated Node #0,0: 44:[18, 95, 53] Operation: 93-40=53
Exploring Operation: 95-93=2, Resulting Numbers: [40, 18, 2]
Generated Node #0,1: 44:[40, 18, 2] Operation: 95-93=2
Moving to Node #0,1
Current State: 44:[40, 18, 2], Operations: ['95-93=2']
Exploring Operation: 40+2=42, Resulting Numbers: [18, 42]
Generated Node #0,1,0: 44:[18, 42] Operation: 40+2=42
Exploring Operation: 40-18=22, Resulting Numbers: [2, 22]
Generated Node #0,1,1: 44:[2, 22] Operation: 40-18=22
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 44:[2, 22], Operations: ['95-93=2', '40-18=22']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,44 unequal: No Solution
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[40, 93, 18, 95], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [40, 18, 2]
Generated Node #0,1: 44:[40, 18, 2] Operation: 95-93=2
Moving to Node #0,1
Current State: 44:[40, 18, 2], Operations: ['95-93=2']
Exploring Operation: 40-18=22, Resulting Numbers: [2, 22]
Generated Node #0,1,1: 44:[2, 22] Operation: 40-18=22
Moving to Node #0,1,1
Current State: 44:[2, 22], Operations: ['95-93=2', '40-18=22']
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
52,
68,
44,
77
] | 17 | [
"68-52=16",
"77-44=33",
"33-16=17"
] | Current State: 17:[52, 68, 44, 77], Operations: []
Exploring Operation: 68-52=16, Resulting Numbers: [44, 77, 16]
Generated Node #2: [44, 77, 16] from Operation: 68-52=16
Current State: 17:[44, 77, 16], Operations: ['68-52=16']
Exploring Operation: 77-44=33, Resulting Numbers: [16, 33]
Generated Node #3: [16, 33] from Operation: 77-44=33
Current State: 17:[16, 33], Operations: ['68-52=16', '77-44=33']
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[52, 68, 44, 77], Operations: []
Exploring Operation: 77-44=33, Resulting Numbers: [52, 68, 33]
Generated Node #0,0: 17:[52, 68, 33] Operation: 77-44=33
Exploring Operation: 68-44=24, Resulting Numbers: [52, 77, 24]
Generated Node #0,1: 17:[52, 77, 24] Operation: 68-44=24
Exploring Operation: 77-52=25, Resulting Numbers: [68, 44, 25]
Generated Node #0,2: 17:[68, 44, 25] Operation: 77-52=25
Exploring Operation: 68-52=16, Resulting Numbers: [44, 77, 16]
Generated Node #0,3: 17:[44, 77, 16] Operation: 68-52=16
Exploring Operation: 77-68=9, Resulting Numbers: [52, 44, 9]
Generated Node #0,4: 17:[52, 44, 9] Operation: 77-68=9
Start Sub Search at level 1: Moving to Node #0,4
Current State: 17:[52, 44, 9], Operations: ['77-68=9']
Exploring Operation: 44-9=35, Resulting Numbers: [52, 35]
Generated Node #0,4,0: 17:[52, 35] Operation: 44-9=35
Exploring Operation: 52-9=43, Resulting Numbers: [44, 43]
Generated Node #0,4,1: 17:[44, 43] Operation: 52-9=43
Exploring Operation: 52+9=61, Resulting Numbers: [44, 61]
Generated Node #0,4,2: 17:[44, 61] Operation: 52+9=61
Exploring Operation: 44+9=53, Resulting Numbers: [52, 53]
Generated Node #0,4,3: 17:[52, 53] Operation: 44+9=53
Exploring Operation: 52-44=8, Resulting Numbers: [9, 8]
Generated Node #0,4,4: 17:[9, 8] Operation: 52-44=8
Moving to Node #0,4,4
Current State: 17:[9, 8], Operations: ['77-68=9', '52-44=8']
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,17 unequal: No Solution
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,17 unequal: No Solution
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[52, 68, 44, 77], Operations: []
Exploring Operation: 77-68=9, Resulting Numbers: [52, 44, 9]
Generated Node #0,4: 17:[52, 44, 9] Operation: 77-68=9
Moving to Node #0,4
Current State: 17:[52, 44, 9], Operations: ['77-68=9']
Exploring Operation: 52-44=8, Resulting Numbers: [9, 8]
Generated Node #0,4,4: 17:[9, 8] Operation: 52-44=8
Moving to Node #0,4,4
Current State: 17:[9, 8], Operations: ['77-68=9', '52-44=8']
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
64,
26,
18,
3
] | 75 | [
"64+26=90",
"18-3=15",
"90-15=75"
] | Current State: 75:[64, 26, 18, 3], Operations: []
Exploring Operation: 64+26=90, Resulting Numbers: [18, 3, 90]
Generated Node #2: [18, 3, 90] from Operation: 64+26=90
Current State: 75:[18, 3, 90], Operations: ['64+26=90']
Exploring Operation: 18-3=15, Resulting Numbers: [90, 15]
Generated Node #3: [90, 15] from Operation: 18-3=15
Current State: 75:[90, 15], Operations: ['64+26=90', '18-3=15']
Exploring Operation: 90-15=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[64, 26, 18, 3], Operations: []
Exploring Operation: 18/3=6, Resulting Numbers: [64, 26, 6]
Generated Node #0,0: 75:[64, 26, 6] Operation: 18/3=6
Exploring Operation: 64+3=67, Resulting Numbers: [26, 18, 67]
Generated Node #0,1: 75:[26, 18, 67] Operation: 64+3=67
Exploring Operation: 64+18=82, Resulting Numbers: [26, 3, 82]
Generated Node #0,2: 75:[26, 3, 82] Operation: 64+18=82
Exploring Operation: 18-3=15, Resulting Numbers: [64, 26, 15]
Generated Node #0,3: 75:[64, 26, 15] Operation: 18-3=15
Moving to Node #0,2
Current State: 75:[26, 3, 82], Operations: ['64+18=82']
Exploring Operation: 82-3=79, Resulting Numbers: [26, 79]
Generated Node #0,2,0: 75:[26, 79] Operation: 82-3=79
Exploring Operation: 26-3=23, Resulting Numbers: [82, 23]
Generated Node #0,2,1: 75:[82, 23] Operation: 26-3=23
Exploring Operation: 26+3=29, Resulting Numbers: [82, 29]
Generated Node #0,2,2: 75:[82, 29] Operation: 26+3=29
Exploring Operation: 26*3=78, Resulting Numbers: [82, 78]
Generated Node #0,2,3: 75:[82, 78] Operation: 26*3=78
Moving to Node #0,3
Current State: 75:[64, 26, 15], Operations: ['18-3=15']
Exploring Operation: 26-15=11, Resulting Numbers: [64, 11]
Generated Node #0,3,0: 75:[64, 11] Operation: 26-15=11
Exploring Operation: 64+26=90, Resulting Numbers: [15, 90]
Generated Node #0,3,1: 75:[15, 90] Operation: 64+26=90
Exploring Operation: 64-26=38, Resulting Numbers: [15, 38]
Generated Node #0,3,2: 75:[15, 38] Operation: 64-26=38
Exploring Operation: 64+15=79, Resulting Numbers: [26, 79]
Generated Node #0,3,3: 75:[26, 79] Operation: 64+15=79
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 75:[26, 79], Operations: ['18-3=15', '64+15=79']
Exploring Operation: 26+79=105, Resulting Numbers: [105]
105,75 unequal: No Solution
Exploring Operation: 79-26=53, Resulting Numbers: [53]
53,75 unequal: No Solution
Exploring Operation: 26*79=2054, Resulting Numbers: [2054]
2054,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 75:[15, 38], Operations: ['18-3=15', '64-26=38']
Exploring Operation: 15+38=53, Resulting Numbers: [53]
53,75 unequal: No Solution
Exploring Operation: 15*38=570, Resulting Numbers: [570]
570,75 unequal: No Solution
Exploring Operation: 38-15=23, Resulting Numbers: [23]
23,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 75:[64, 11], Operations: ['18-3=15', '26-15=11']
Exploring Operation: 64*11=704, Resulting Numbers: [704]
704,75 unequal: No Solution
Exploring Operation: 64-11=53, Resulting Numbers: [53]
53,75 unequal: No Solution
Exploring Operation: 64+11=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[64, 26, 18, 3], Operations: []
Exploring Operation: 18-3=15, Resulting Numbers: [64, 26, 15]
Generated Node #0,3: 75:[64, 26, 15] Operation: 18-3=15
Moving to Node #0,3
Current State: 75:[64, 26, 15], Operations: ['18-3=15']
Exploring Operation: 26-15=11, Resulting Numbers: [64, 11]
Generated Node #0,3,0: 75:[64, 11] Operation: 26-15=11
Moving to Node #0,3,0
Current State: 75:[64, 11], Operations: ['18-3=15', '26-15=11']
Exploring Operation: 64+11=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_4 | mult_heuristic |
[
58,
72,
15,
69
] | 76 | [
"58+72=130",
"69-15=54",
"130-54=76"
] | Current State: 76:[58, 72, 15, 69], Operations: []
Exploring Operation: 58+72=130, Resulting Numbers: [15, 69, 130]
Generated Node #2: [15, 69, 130] from Operation: 58+72=130
Current State: 76:[15, 69, 130], Operations: ['58+72=130']
Exploring Operation: 69-15=54, Resulting Numbers: [130, 54]
Generated Node #3: [130, 54] from Operation: 69-15=54
Current State: 76:[130, 54], Operations: ['58+72=130', '69-15=54']
Exploring Operation: 130-54=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[58, 72, 15, 69], Operations: []
Exploring Operation: 72-58=14, Resulting Numbers: [15, 69, 14]
Generated Node #0,0: 76:[15, 69, 14] Operation: 72-58=14
Exploring Operation: 58-15=43, Resulting Numbers: [72, 69, 43]
Generated Node #0,1: 76:[72, 69, 43] Operation: 58-15=43
Exploring Operation: 72-69=3, Resulting Numbers: [58, 15, 3]
Generated Node #0,2: 76:[58, 15, 3] Operation: 72-69=3
Exploring Operation: 58+15=73, Resulting Numbers: [72, 69, 73]
Generated Node #0,3: 76:[72, 69, 73] Operation: 58+15=73
Exploring Operation: 69-58=11, Resulting Numbers: [72, 15, 11]
Generated Node #0,4: 76:[72, 15, 11] Operation: 69-58=11
Moving to Node #0,3
Current State: 76:[72, 69, 73], Operations: ['58+15=73']
Exploring Operation: 73-72=1, Resulting Numbers: [69, 1]
Generated Node #0,3,0: 76:[69, 1] Operation: 73-72=1
Exploring Operation: 72-69=3, Resulting Numbers: [73, 3]
Generated Node #0,3,1: 76:[73, 3] Operation: 72-69=3
Exploring Operation: 69+73=142, Resulting Numbers: [72, 142]
Generated Node #0,3,2: 76:[72, 142] Operation: 69+73=142
Exploring Operation: 73-69=4, Resulting Numbers: [72, 4]
Generated Node #0,3,3: 76:[72, 4] Operation: 73-69=4
Exploring Operation: 72+69=141, Resulting Numbers: [73, 141]
Generated Node #0,3,4: 76:[73, 141] Operation: 72+69=141
Moving to Node #0,4
Current State: 76:[72, 15, 11], Operations: ['69-58=11']
Exploring Operation: 72+11=83, Resulting Numbers: [15, 83]
Generated Node #0,4,0: 76:[15, 83] Operation: 72+11=83
Exploring Operation: 15-11=4, Resulting Numbers: [72, 4]
Generated Node #0,4,1: 76:[72, 4] Operation: 15-11=4
Exploring Operation: 72+15=87, Resulting Numbers: [11, 87]
Generated Node #0,4,2: 76:[11, 87] Operation: 72+15=87
Exploring Operation: 72-11=61, Resulting Numbers: [15, 61]
Generated Node #0,4,3: 76:[15, 61] Operation: 72-11=61
Exploring Operation: 15+11=26, Resulting Numbers: [72, 26]
Generated Node #0,4,4: 76:[72, 26] Operation: 15+11=26
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 76:[72, 4], Operations: ['69-58=11', '15-11=4']
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,76 unequal: No Solution
Exploring Operation: 72*4=288, Resulting Numbers: [288]
288,76 unequal: No Solution
Exploring Operation: 72+4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[58, 72, 15, 69], Operations: []
Exploring Operation: 69-58=11, Resulting Numbers: [72, 15, 11]
Generated Node #0,4: 76:[72, 15, 11] Operation: 69-58=11
Moving to Node #0,4
Current State: 76:[72, 15, 11], Operations: ['69-58=11']
Exploring Operation: 15-11=4, Resulting Numbers: [72, 4]
Generated Node #0,4,1: 76:[72, 4] Operation: 15-11=4
Moving to Node #0,4,1
Current State: 76:[72, 4], Operations: ['69-58=11', '15-11=4']
Exploring Operation: 72+4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | mult_heuristic |
[
44,
70,
99,
88
] | 27 | [
"88/44=2",
"99-70=29",
"29-2=27"
] | Current State: 27:[44, 70, 99, 88], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [70, 99, 2]
Generated Node #2: [70, 99, 2] from Operation: 88/44=2
Current State: 27:[70, 99, 2], Operations: ['88/44=2']
Exploring Operation: 99-70=29, Resulting Numbers: [2, 29]
Generated Node #3: [2, 29] from Operation: 99-70=29
Current State: 27:[2, 29], Operations: ['88/44=2', '99-70=29']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[44, 70, 99, 88], Operations: []
Exploring Operation: 88-70=18, Resulting Numbers: [44, 99, 18]
Generated Node #0,0: 27:[44, 99, 18] Operation: 88-70=18
Exploring Operation: 99-88=11, Resulting Numbers: [44, 70, 11]
Generated Node #0,1: 27:[44, 70, 11] Operation: 99-88=11
Exploring Operation: 88/44=2, Resulting Numbers: [70, 99, 2]
Generated Node #0,2: 27:[70, 99, 2] Operation: 88/44=2
Exploring Operation: 99-70=29, Resulting Numbers: [44, 88, 29]
Generated Node #0,3: 27:[44, 88, 29] Operation: 99-70=29
Exploring Operation: 99-44=55, Resulting Numbers: [70, 88, 55]
Generated Node #0,4: 27:[70, 88, 55] Operation: 99-44=55
Start Sub Search at level 1: Moving to Node #0,1
Current State: 27:[44, 70, 11], Operations: ['99-88=11']
Exploring Operation: 70-44=26, Resulting Numbers: [11, 26]
Generated Node #0,1,0: 27:[11, 26] Operation: 70-44=26
Exploring Operation: 70-11=59, Resulting Numbers: [44, 59]
Generated Node #0,1,1: 27:[44, 59] Operation: 70-11=59
Exploring Operation: 44-11=33, Resulting Numbers: [70, 33]
Generated Node #0,1,2: 27:[70, 33] Operation: 44-11=33
Exploring Operation: 44/11=4, Resulting Numbers: [70, 4]
Generated Node #0,1,3: 27:[70, 4] Operation: 44/11=4
Exploring Operation: 44+11=55, Resulting Numbers: [70, 55]
Generated Node #0,1,4: 27:[70, 55] Operation: 44+11=55
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 27:[11, 26], Operations: ['99-88=11', '70-44=26']
Exploring Operation: 11*26=286, Resulting Numbers: [286]
286,27 unequal: No Solution
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,27 unequal: No Solution
Exploring Operation: 11+26=37, Resulting Numbers: [37]
37,27 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 #0,1,3
Current State: 27:[70, 4], Operations: ['99-88=11', '44/11=4']
Exploring Operation: 70-4=66, Resulting Numbers: [66]
66,27 unequal: No Solution
Exploring Operation: 70+4=74, Resulting Numbers: [74]
74,27 unequal: No Solution
Exploring Operation: 70*4=280, Resulting Numbers: [280]
280,27 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 #0,1,1
Current State: 27:[44, 59], Operations: ['99-88=11', '70-11=59']
Exploring Operation: 59-44=15, Resulting Numbers: [15]
15,27 unequal: No Solution
Exploring Operation: 44*59=2596, Resulting Numbers: [2596]
2596,27 unequal: No Solution
Exploring Operation: 44+59=103, Resulting Numbers: [103]
103,27 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 #0,1,2
Current State: 27:[70, 33], Operations: ['99-88=11', '44-11=33']
Exploring Operation: 70-33=37, Resulting Numbers: [37]
37,27 unequal: No Solution
Exploring Operation: 70*33=2310, Resulting Numbers: [2310]
2310,27 unequal: No Solution
Exploring Operation: 70+33=103, Resulting Numbers: [103]
103,27 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 #0,1,4
Current State: 27:[70, 55], Operations: ['99-88=11', '44+11=55']
Exploring Operation: 70*55=3850, Resulting Numbers: [3850]
3850,27 unequal: No Solution
Exploring Operation: 70-55=15, Resulting Numbers: [15]
15,27 unequal: No Solution
Exploring Operation: 70+55=125, Resulting Numbers: [125]
125,27 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: 27:[44, 88, 29], Operations: ['99-70=29']
Exploring Operation: 88-29=59, Resulting Numbers: [44, 59]
Generated Node #0,3,0: 27:[44, 59] Operation: 88-29=59
Exploring Operation: 88-44=44, Resulting Numbers: [29, 44]
Generated Node #0,3,1: 27:[29, 44] Operation: 88-44=44
Exploring Operation: 44+88=132, Resulting Numbers: [29, 132]
Generated Node #0,3,2: 27:[29, 132] Operation: 44+88=132
Exploring Operation: 44-29=15, Resulting Numbers: [88, 15]
Generated Node #0,3,3: 27:[88, 15] Operation: 44-29=15
Exploring Operation: 88/44=2, Resulting Numbers: [29, 2]
Generated Node #0,3,4: 27:[29, 2] Operation: 88/44=2
Moving to Node #0,3,4
Current State: 27:[29, 2], Operations: ['99-70=29', '88/44=2']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[44, 70, 99, 88], Operations: []
Exploring Operation: 99-70=29, Resulting Numbers: [44, 88, 29]
Generated Node #0,3: 27:[44, 88, 29] Operation: 99-70=29
Moving to Node #0,3
Current State: 27:[44, 88, 29], Operations: ['99-70=29']
Exploring Operation: 88/44=2, Resulting Numbers: [29, 2]
Generated Node #0,3,4: 27:[29, 2] Operation: 88/44=2
Moving to Node #0,3,4
Current State: 27:[29, 2], Operations: ['99-70=29', '88/44=2']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_5 | mult_heuristic |
[
28,
21,
28,
30
] | 34 | [
"28-21=7",
"28/7=4",
"30+4=34"
] | Current State: 34:[28, 21, 28, 30], Operations: []
Exploring Operation: 28-21=7, Resulting Numbers: [30, 7]
Generated Node #2: [30, 7] from Operation: 28-21=7
Current State: 34:[30, 7], Operations: ['28-21=7']
Exploring Operation: 28/7=4, Resulting Numbers: [30, 4]
Generated Node #3: [30, 4] from Operation: 28/7=4
Current State: 34:[30, 4], Operations: ['28-21=7', '28/7=4']
Exploring Operation: 30+4=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[28, 21, 28, 30], Operations: []
Exploring Operation: 28/28=1, Resulting Numbers: [21, 30, 1]
Generated Node #0,0: 34:[21, 30, 1] Operation: 28/28=1
Moving to Node #0,0
Current State: 34:[21, 30, 1], Operations: ['28/28=1']
Exploring Operation: 21-1=20, Resulting Numbers: [30, 20]
Generated Node #0,0,0: 34:[30, 20] Operation: 21-1=20
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 34:[30, 20], Operations: ['28/28=1', '21-1=20']
Exploring Operation: 30-20=10, Resulting Numbers: [10]
10,34 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 |
[
62,
30,
16,
38
] | 40 | [
"62-30=32",
"32/16=2",
"38+2=40"
] | Current State: 40:[62, 30, 16, 38], Operations: []
Exploring Operation: 62-30=32, Resulting Numbers: [16, 38, 32]
Generated Node #2: [16, 38, 32] from Operation: 62-30=32
Current State: 40:[16, 38, 32], Operations: ['62-30=32']
Exploring Operation: 32/16=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 32/16=2
Current State: 40:[38, 2], Operations: ['62-30=32', '32/16=2']
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[62, 30, 16, 38], Operations: []
Exploring Operation: 62-30=32, Resulting Numbers: [16, 38, 32]
Generated Node #0,0: 40:[16, 38, 32] Operation: 62-30=32
Exploring Operation: 30-16=14, Resulting Numbers: [62, 38, 14]
Generated Node #0,1: 40:[62, 38, 14] Operation: 30-16=14
Exploring Operation: 62-38=24, Resulting Numbers: [30, 16, 24]
Generated Node #0,2: 40:[30, 16, 24] Operation: 62-38=24
Exploring Operation: 62-16=46, Resulting Numbers: [30, 38, 46]
Generated Node #0,3: 40:[30, 38, 46] Operation: 62-16=46
Exploring Operation: 38-30=8, Resulting Numbers: [62, 16, 8]
Generated Node #0,4: 40:[62, 16, 8] Operation: 38-30=8
Moving to Node #0,0
Current State: 40:[16, 38, 32], Operations: ['62-30=32']
Exploring Operation: 38-16=22, Resulting Numbers: [32, 22]
Generated Node #0,0,0: 40:[32, 22] Operation: 38-16=22
Exploring Operation: 16+32=48, Resulting Numbers: [38, 48]
Generated Node #0,0,1: 40:[38, 48] Operation: 16+32=48
Exploring Operation: 32/16=2, Resulting Numbers: [38, 2]
Generated Node #0,0,2: 40:[38, 2] Operation: 32/16=2
Exploring Operation: 38-32=6, Resulting Numbers: [16, 6]
Generated Node #0,0,3: 40:[16, 6] Operation: 38-32=6
Exploring Operation: 32-16=16, Resulting Numbers: [38, 16]
Generated Node #0,0,4: 40:[38, 16] Operation: 32-16=16
Moving to Node #0,3
Current State: 40:[30, 38, 46], Operations: ['62-16=46']
Exploring Operation: 30+38=68, Resulting Numbers: [46, 68]
Generated Node #0,3,0: 40:[46, 68] Operation: 30+38=68
Exploring Operation: 30+46=76, Resulting Numbers: [38, 76]
Generated Node #0,3,1: 40:[38, 76] Operation: 30+46=76
Exploring Operation: 38-30=8, Resulting Numbers: [46, 8]
Generated Node #0,3,2: 40:[46, 8] Operation: 38-30=8
Exploring Operation: 46-38=8, Resulting Numbers: [30, 8]
Generated Node #0,3,3: 40:[30, 8] Operation: 46-38=8
Exploring Operation: 46-30=16, Resulting Numbers: [38, 16]
Generated Node #0,3,4: 40:[38, 16] Operation: 46-30=16
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 40:[46, 8], Operations: ['62-16=46', '38-30=8']
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,40 unequal: No Solution
Exploring Operation: 46*8=368, Resulting Numbers: [368]
368,40 unequal: No Solution
Exploring Operation: 46+8=54, Resulting Numbers: [54]
54,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 40:[38, 16], Operations: ['62-16=46', '46-30=16']
Exploring Operation: 38*16=608, Resulting Numbers: [608]
608,40 unequal: No Solution
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,40 unequal: No Solution
Exploring Operation: 38+16=54, Resulting Numbers: [54]
54,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 40:[30, 8], Operations: ['62-16=46', '46-38=8']
Exploring Operation: 30*8=240, Resulting Numbers: [240]
240,40 unequal: No Solution
Exploring Operation: 30+8=38, Resulting Numbers: [38]
38,40 unequal: No Solution
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 40:[46, 68], Operations: ['62-16=46', '30+38=68']
Exploring Operation: 46+68=114, Resulting Numbers: [114]
114,40 unequal: No Solution
Exploring Operation: 46*68=3128, Resulting Numbers: [3128]
3128,40 unequal: No Solution
Exploring Operation: 68-46=22, Resulting Numbers: [22]
22,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 40:[38, 76], Operations: ['62-16=46', '30+46=76']
Exploring Operation: 76-38=38, Resulting Numbers: [38]
38,40 unequal: No Solution
Exploring Operation: 76/38=2, Resulting Numbers: [2]
2,40 unequal: No Solution
Exploring Operation: 38+76=114, Resulting Numbers: [114]
114,40 unequal: No Solution
Exploring Operation: 38*76=2888, Resulting Numbers: [2888]
2888,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 40:[30, 16, 24], Operations: ['62-38=24']
Exploring Operation: 16+24=40, Resulting Numbers: [30, 40]
Generated Node #0,2,0: 40:[30, 40] Operation: 16+24=40
Exploring Operation: 30-24=6, Resulting Numbers: [16, 6]
Generated Node #0,2,1: 40:[16, 6] Operation: 30-24=6
Exploring Operation: 24-16=8, Resulting Numbers: [30, 8]
Generated Node #0,2,2: 40:[30, 8] Operation: 24-16=8
Exploring Operation: 30-16=14, Resulting Numbers: [24, 14]
Generated Node #0,2,3: 40:[24, 14] Operation: 30-16=14
Exploring Operation: 30+16=46, Resulting Numbers: [24, 46]
Generated Node #0,2,4: 40:[24, 46] Operation: 30+16=46
Moving to Node #0,4
Current State: 40:[62, 16, 8], Operations: ['38-30=8']
Exploring Operation: 16-8=8, Resulting Numbers: [62, 8]
Generated Node #0,4,0: 40:[62, 8] Operation: 16-8=8
Exploring Operation: 62-16=46, Resulting Numbers: [8, 46]
Generated Node #0,4,1: 40:[8, 46] Operation: 62-16=46
Exploring Operation: 16/8=2, Resulting Numbers: [62, 2]
Generated Node #0,4,2: 40:[62, 2] Operation: 16/8=2
Exploring Operation: 16+8=24, Resulting Numbers: [62, 24]
Generated Node #0,4,3: 40:[62, 24] Operation: 16+8=24
Exploring Operation: 62-8=54, Resulting Numbers: [16, 54]
Generated Node #0,4,4: 40:[16, 54] Operation: 62-8=54
Moving to Node #0,1
Current State: 40:[62, 38, 14], Operations: ['30-16=14']
Exploring Operation: 62-14=48, Resulting Numbers: [38, 48]
Generated Node #0,1,0: 40:[38, 48] Operation: 62-14=48
Exploring Operation: 62+14=76, Resulting Numbers: [38, 76]
Generated Node #0,1,1: 40:[38, 76] Operation: 62+14=76
Exploring Operation: 38-14=24, Resulting Numbers: [62, 24]
Generated Node #0,1,2: 40:[62, 24] Operation: 38-14=24
Exploring Operation: 62-38=24, Resulting Numbers: [14, 24]
Generated Node #0,1,3: 40:[14, 24] Operation: 62-38=24
Exploring Operation: 38+14=52, Resulting Numbers: [62, 52]
Generated Node #0,1,4: 40:[62, 52] Operation: 38+14=52
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 40:[14, 24], Operations: ['30-16=14', '62-38=24']
Exploring Operation: 14+24=38, Resulting Numbers: [38]
38,40 unequal: No Solution
Exploring Operation: 24-14=10, Resulting Numbers: [10]
10,40 unequal: No Solution
Exploring Operation: 14*24=336, Resulting Numbers: [336]
336,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 40:[38, 48], Operations: ['30-16=14', '62-14=48']
Exploring Operation: 38+48=86, Resulting Numbers: [86]
86,40 unequal: No Solution
Exploring Operation: 38*48=1824, Resulting Numbers: [1824]
1824,40 unequal: No Solution
Exploring Operation: 48-38=10, Resulting Numbers: [10]
10,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 40:[62, 24], Operations: ['30-16=14', '38-14=24']
Exploring Operation: 62*24=1488, Resulting Numbers: [1488]
1488,40 unequal: No Solution
Exploring Operation: 62+24=86, Resulting Numbers: [86]
86,40 unequal: No Solution
Exploring Operation: 62-24=38, Resulting Numbers: [38]
38,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 40:[62, 52], Operations: ['30-16=14', '38+14=52']
Exploring Operation: 62-52=10, Resulting Numbers: [10]
10,40 unequal: No Solution
Exploring Operation: 62*52=3224, Resulting Numbers: [3224]
3224,40 unequal: No Solution
Exploring Operation: 62+52=114, Resulting Numbers: [114]
114,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 40:[38, 76], Operations: ['30-16=14', '62+14=76']
Exploring Operation: 38*76=2888, Resulting Numbers: [2888]
2888,40 unequal: No Solution
Exploring Operation: 76-38=38, Resulting Numbers: [38]
38,40 unequal: No Solution
Exploring Operation: 38+76=114, Resulting Numbers: [114]
114,40 unequal: No Solution
Exploring Operation: 76/38=2, Resulting Numbers: [2]
2,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 40:[38, 2], Operations: ['62-30=32', '32/16=2']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,40 unequal: No Solution
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[62, 30, 16, 38], Operations: []
Exploring Operation: 62-30=32, Resulting Numbers: [16, 38, 32]
Generated Node #0,0: 40:[16, 38, 32] Operation: 62-30=32
Moving to Node #0,0
Current State: 40:[16, 38, 32], Operations: ['62-30=32']
Exploring Operation: 32/16=2, Resulting Numbers: [38, 2]
Generated Node #0,0,2: 40:[38, 2] Operation: 32/16=2
Moving to Node #0,0,2
Current State: 40:[38, 2], Operations: ['62-30=32', '32/16=2']
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 0.940972 | hs_5 | sum_heuristic |
[
42,
96,
20,
16
] | 50 | [
"96-42=54",
"20-16=4",
"54-4=50"
] | Current State: 50:[42, 96, 20, 16], Operations: []
Exploring Operation: 96-42=54, Resulting Numbers: [20, 16, 54]
Generated Node #2: [20, 16, 54] from Operation: 96-42=54
Current State: 50:[20, 16, 54], Operations: ['96-42=54']
Exploring Operation: 20-16=4, Resulting Numbers: [54, 4]
Generated Node #3: [54, 4] from Operation: 20-16=4
Current State: 50:[54, 4], Operations: ['96-42=54', '20-16=4']
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[42, 96, 20, 16], Operations: []
Exploring Operation: 96-16=80, Resulting Numbers: [42, 20, 80]
Generated Node #0,0: 50:[42, 20, 80] Operation: 96-16=80
Exploring Operation: 96-42=54, Resulting Numbers: [20, 16, 54]
Generated Node #0,1: 50:[20, 16, 54] Operation: 96-42=54
Exploring Operation: 96-20=76, Resulting Numbers: [42, 16, 76]
Generated Node #0,2: 50:[42, 16, 76] Operation: 96-20=76
Exploring Operation: 96/16=6, Resulting Numbers: [42, 20, 6]
Generated Node #0,3: 50:[42, 20, 6] Operation: 96/16=6
Moving to Node #0,3
Current State: 50:[42, 20, 6], Operations: ['96/16=6']
Exploring Operation: 20+6=26, Resulting Numbers: [42, 26]
Generated Node #0,3,0: 50:[42, 26] Operation: 20+6=26
Exploring Operation: 42+6=48, Resulting Numbers: [20, 48]
Generated Node #0,3,1: 50:[20, 48] Operation: 42+6=48
Exploring Operation: 42-20=22, Resulting Numbers: [6, 22]
Generated Node #0,3,2: 50:[6, 22] Operation: 42-20=22
Exploring Operation: 42/6=7, Resulting Numbers: [20, 7]
Generated Node #0,3,3: 50:[20, 7] Operation: 42/6=7
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 50:[6, 22], Operations: ['96/16=6', '42-20=22']
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,50 unequal: No Solution
Exploring Operation: 6+22=28, Resulting Numbers: [28]
28,50 unequal: No Solution
Exploring Operation: 6*22=132, Resulting Numbers: [132]
132,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 50:[20, 48], Operations: ['96/16=6', '42+6=48']
Exploring Operation: 20+48=68, Resulting Numbers: [68]
68,50 unequal: No Solution
Exploring Operation: 20*48=960, Resulting Numbers: [960]
960,50 unequal: No Solution
Exploring Operation: 48-20=28, Resulting Numbers: [28]
28,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 50:[20, 7], Operations: ['96/16=6', '42/6=7']
Exploring Operation: 20+7=27, Resulting Numbers: [27]
27,50 unequal: No Solution
Exploring Operation: 20*7=140, Resulting Numbers: [140]
140,50 unequal: No Solution
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 50:[42, 26], Operations: ['96/16=6', '20+6=26']
Exploring Operation: 42*26=1092, Resulting Numbers: [1092]
1092,50 unequal: No Solution
Exploring Operation: 42-26=16, Resulting Numbers: [16]
16,50 unequal: No Solution
Exploring Operation: 42+26=68, Resulting Numbers: [68]
68,50 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: 50:[20, 16, 54], Operations: ['96-42=54']
Exploring Operation: 20+16=36, Resulting Numbers: [54, 36]
Generated Node #0,1,0: 50:[54, 36] Operation: 20+16=36
Exploring Operation: 20-16=4, Resulting Numbers: [54, 4]
Generated Node #0,1,1: 50:[54, 4] Operation: 20-16=4
Exploring Operation: 54-16=38, Resulting Numbers: [20, 38]
Generated Node #0,1,2: 50:[20, 38] Operation: 54-16=38
Exploring Operation: 54-20=34, Resulting Numbers: [16, 34]
Generated Node #0,1,3: 50:[16, 34] Operation: 54-20=34
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 50:[54, 4], Operations: ['96-42=54', '20-16=4']
Exploring Operation: 54+4=58, Resulting Numbers: [58]
58,50 unequal: No Solution
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[42, 96, 20, 16], Operations: []
Exploring Operation: 96-42=54, Resulting Numbers: [20, 16, 54]
Generated Node #0,1: 50:[20, 16, 54] Operation: 96-42=54
Moving to Node #0,1
Current State: 50:[20, 16, 54], Operations: ['96-42=54']
Exploring Operation: 20-16=4, Resulting Numbers: [54, 4]
Generated Node #0,1,1: 50:[54, 4] Operation: 20-16=4
Moving to Node #0,1,1
Current State: 50:[54, 4], Operations: ['96-42=54', '20-16=4']
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_4 | mult_heuristic |
[
45,
37,
3,
65
] | 70 | [
"45-37=8",
"65-3=62",
"8+62=70"
] | Current State: 70:[45, 37, 3, 65], Operations: []
Exploring Operation: 45-37=8, Resulting Numbers: [3, 65, 8]
Generated Node #2: [3, 65, 8] from Operation: 45-37=8
Current State: 70:[3, 65, 8], Operations: ['45-37=8']
Exploring Operation: 65-3=62, Resulting Numbers: [8, 62]
Generated Node #3: [8, 62] from Operation: 65-3=62
Current State: 70:[8, 62], Operations: ['45-37=8', '65-3=62']
Exploring Operation: 8+62=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[45, 37, 3, 65], Operations: []
Exploring Operation: 45-37=8, Resulting Numbers: [3, 65, 8]
Generated Node #0,0: 70:[3, 65, 8] Operation: 45-37=8
Moving to Node #0,0
Current State: 70:[3, 65, 8], Operations: ['45-37=8']
Exploring Operation: 3+65=68, Resulting Numbers: [8, 68]
Generated Node #0,0,0: 70:[8, 68] Operation: 3+65=68
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[8, 68], Operations: ['45-37=8', '3+65=68']
Exploring Operation: 8+68=76, Resulting Numbers: [76]
76,70 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 |
[
32,
15,
89,
29
] | 36 | [
"89-29=60",
"60/15=4",
"32+4=36"
] | Current State: 36:[32, 15, 89, 29], Operations: []
Exploring Operation: 89-29=60, Resulting Numbers: [32, 15, 60]
Generated Node #2: [32, 15, 60] from Operation: 89-29=60
Current State: 36:[32, 15, 60], Operations: ['89-29=60']
Exploring Operation: 60/15=4, Resulting Numbers: [32, 4]
Generated Node #3: [32, 4] from Operation: 60/15=4
Current State: 36:[32, 4], Operations: ['89-29=60', '60/15=4']
Exploring Operation: 32+4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[32, 15, 89, 29], Operations: []
Exploring Operation: 89-15=74, Resulting Numbers: [32, 29, 74]
Generated Node #0,0: 36:[32, 29, 74] Operation: 89-15=74
Exploring Operation: 89-32=57, Resulting Numbers: [15, 29, 57]
Generated Node #0,1: 36:[15, 29, 57] Operation: 89-32=57
Exploring Operation: 89-29=60, Resulting Numbers: [32, 15, 60]
Generated Node #0,2: 36:[32, 15, 60] Operation: 89-29=60
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[15, 29, 57], Operations: ['89-32=57']
Exploring Operation: 57-29=28, Resulting Numbers: [15, 28]
Generated Node #0,1,0: 36:[15, 28] Operation: 57-29=28
Exploring Operation: 29-15=14, Resulting Numbers: [57, 14]
Generated Node #0,1,1: 36:[57, 14] Operation: 29-15=14
Exploring Operation: 57-15=42, Resulting Numbers: [29, 42]
Generated Node #0,1,2: 36:[29, 42] Operation: 57-15=42
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 36:[15, 28], Operations: ['89-32=57', '57-29=28']
Exploring Operation: 15+28=43, Resulting Numbers: [43]
43,36 unequal: No Solution
Exploring Operation: 15*28=420, Resulting Numbers: [420]
420,36 unequal: No Solution
Exploring Operation: 28-15=13, Resulting Numbers: [13]
13,36 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 #0,1,2
Current State: 36:[29, 42], Operations: ['89-32=57', '57-15=42']
Exploring Operation: 29+42=71, Resulting Numbers: [71]
71,36 unequal: No Solution
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,36 unequal: No Solution
Exploring Operation: 29*42=1218, Resulting Numbers: [1218]
1218,36 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 #0,1,1
Current State: 36:[57, 14], Operations: ['89-32=57', '29-15=14']
Exploring Operation: 57*14=798, Resulting Numbers: [798]
798,36 unequal: No Solution
Exploring Operation: 57-14=43, Resulting Numbers: [43]
43,36 unequal: No Solution
Exploring Operation: 57+14=71, Resulting Numbers: [71]
71,36 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 #0,2
Current State: 36:[32, 15, 60], Operations: ['89-29=60']
Exploring Operation: 60-15=45, Resulting Numbers: [32, 45]
Generated Node #0,2,0: 36:[32, 45] Operation: 60-15=45
Exploring Operation: 60/15=4, Resulting Numbers: [32, 4]
Generated Node #0,2,1: 36:[32, 4] Operation: 60/15=4
Exploring Operation: 60-32=28, Resulting Numbers: [15, 28]
Generated Node #0,2,2: 36:[15, 28] Operation: 60-32=28
Moving to Node #0,2,1
Current State: 36:[32, 4], Operations: ['89-29=60', '60/15=4']
Exploring Operation: 32+4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[32, 15, 89, 29], Operations: []
Exploring Operation: 89-29=60, Resulting Numbers: [32, 15, 60]
Generated Node #0,2: 36:[32, 15, 60] Operation: 89-29=60
Moving to Node #0,2
Current State: 36:[32, 15, 60], Operations: ['89-29=60']
Exploring Operation: 60/15=4, Resulting Numbers: [32, 4]
Generated Node #0,2,1: 36:[32, 4] Operation: 60/15=4
Moving to Node #0,2,1
Current State: 36:[32, 4], Operations: ['89-29=60', '60/15=4']
Exploring Operation: 32+4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_3 | mult_heuristic |
[
70,
7,
36,
2
] | 25 | [
"70-7=63",
"36+2=38",
"63-38=25"
] | Current State: 25:[70, 7, 36, 2], Operations: []
Exploring Operation: 70-7=63, Resulting Numbers: [36, 2, 63]
Generated Node #2: [36, 2, 63] from Operation: 70-7=63
Current State: 25:[36, 2, 63], Operations: ['70-7=63']
Exploring Operation: 36+2=38, Resulting Numbers: [63, 38]
Generated Node #3: [63, 38] from Operation: 36+2=38
Current State: 25:[63, 38], Operations: ['70-7=63', '36+2=38']
Exploring Operation: 63-38=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[70, 7, 36, 2], Operations: []
Exploring Operation: 70-36=34, Resulting Numbers: [7, 2, 34]
Generated Node #0,0: 25:[7, 2, 34] Operation: 70-36=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[7, 2, 34], Operations: ['70-36=34']
Exploring Operation: 34-7=27, Resulting Numbers: [2, 27]
Generated Node #0,0,0: 25:[2, 27] Operation: 34-7=27
Moving to Node #0,0,0
Current State: 25:[2, 27], Operations: ['70-36=34', '34-7=27']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[70, 7, 36, 2], Operations: []
Exploring Operation: 70-36=34, Resulting Numbers: [7, 2, 34]
Generated Node #0,0: 25:[7, 2, 34] Operation: 70-36=34
Moving to Node #0,0
Current State: 25:[7, 2, 34], Operations: ['70-36=34']
Exploring Operation: 34-7=27, Resulting Numbers: [2, 27]
Generated Node #0,0,0: 25:[2, 27] Operation: 34-7=27
Moving to Node #0,0,0
Current State: 25:[2, 27], Operations: ['70-36=34', '34-7=27']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
59,
91,
40,
46
] | 25 | [
"59+91=150",
"46-40=6",
"150/6=25"
] | Current State: 25:[59, 91, 40, 46], Operations: []
Exploring Operation: 59+91=150, Resulting Numbers: [40, 46, 150]
Generated Node #2: [40, 46, 150] from Operation: 59+91=150
Current State: 25:[40, 46, 150], Operations: ['59+91=150']
Exploring Operation: 46-40=6, Resulting Numbers: [150, 6]
Generated Node #3: [150, 6] from Operation: 46-40=6
Current State: 25:[150, 6], Operations: ['59+91=150', '46-40=6']
Exploring Operation: 150/6=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[59, 91, 40, 46], Operations: []
Exploring Operation: 91-46=45, Resulting Numbers: [59, 40, 45]
Generated Node #0,0: 25:[59, 40, 45] Operation: 91-46=45
Exploring Operation: 91-40=51, Resulting Numbers: [59, 46, 51]
Generated Node #0,1: 25:[59, 46, 51] Operation: 91-40=51
Exploring Operation: 59-46=13, Resulting Numbers: [91, 40, 13]
Generated Node #0,2: 25:[91, 40, 13] Operation: 59-46=13
Exploring Operation: 91-59=32, Resulting Numbers: [40, 46, 32]
Generated Node #0,3: 25:[40, 46, 32] Operation: 91-59=32
Exploring Operation: 59-40=19, Resulting Numbers: [91, 46, 19]
Generated Node #0,4: 25:[91, 46, 19] Operation: 59-40=19
Moving to Node #0,3
Current State: 25:[40, 46, 32], Operations: ['91-59=32']
Exploring Operation: 46-40=6, Resulting Numbers: [32, 6]
Generated Node #0,3,0: 25:[32, 6] Operation: 46-40=6
Exploring Operation: 46-32=14, Resulting Numbers: [40, 14]
Generated Node #0,3,1: 25:[40, 14] Operation: 46-32=14
Exploring Operation: 40+46=86, Resulting Numbers: [32, 86]
Generated Node #0,3,2: 25:[32, 86] Operation: 40+46=86
Exploring Operation: 40-32=8, Resulting Numbers: [46, 8]
Generated Node #0,3,3: 25:[46, 8] Operation: 40-32=8
Exploring Operation: 40+32=72, Resulting Numbers: [46, 72]
Generated Node #0,3,4: 25:[46, 72] Operation: 40+32=72
Moving to Node #0,0
Current State: 25:[59, 40, 45], Operations: ['91-46=45']
Exploring Operation: 59-45=14, Resulting Numbers: [40, 14]
Generated Node #0,0,0: 25:[40, 14] Operation: 59-45=14
Exploring Operation: 59+45=104, Resulting Numbers: [40, 104]
Generated Node #0,0,1: 25:[40, 104] Operation: 59+45=104
Exploring Operation: 59+40=99, Resulting Numbers: [45, 99]
Generated Node #0,0,2: 25:[45, 99] Operation: 59+40=99
Exploring Operation: 45-40=5, Resulting Numbers: [59, 5]
Generated Node #0,0,3: 25:[59, 5] Operation: 45-40=5
Exploring Operation: 59-40=19, Resulting Numbers: [45, 19]
Generated Node #0,0,4: 25:[45, 19] Operation: 59-40=19
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 25:[40, 14], Operations: ['91-46=45', '59-45=14']
Exploring Operation: 40-14=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 40+14=54, Resulting Numbers: [54]
54,25 unequal: No Solution
Exploring Operation: 40*14=560, Resulting Numbers: [560]
560,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 25:[45, 19], Operations: ['91-46=45', '59-40=19']
Exploring Operation: 45-19=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 45*19=855, Resulting Numbers: [855]
855,25 unequal: No Solution
Exploring Operation: 45+19=64, Resulting Numbers: [64]
64,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 25:[59, 5], Operations: ['91-46=45', '45-40=5']
Exploring Operation: 59*5=295, Resulting Numbers: [295]
295,25 unequal: No Solution
Exploring Operation: 59+5=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 59-5=54, Resulting Numbers: [54]
54,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 25:[40, 104], Operations: ['91-46=45', '59+45=104']
Exploring Operation: 104-40=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 40*104=4160, Resulting Numbers: [4160]
4160,25 unequal: No Solution
Exploring Operation: 40+104=144, Resulting Numbers: [144]
144,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 25:[45, 99], Operations: ['91-46=45', '59+40=99']
Exploring Operation: 45+99=144, Resulting Numbers: [144]
144,25 unequal: No Solution
Exploring Operation: 99-45=54, Resulting Numbers: [54]
54,25 unequal: No Solution
Exploring Operation: 45*99=4455, Resulting Numbers: [4455]
4455,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 25:[59, 46, 51], Operations: ['91-40=51']
Exploring Operation: 59+46=105, Resulting Numbers: [51, 105]
Generated Node #0,1,0: 25:[51, 105] Operation: 59+46=105
Exploring Operation: 59-46=13, Resulting Numbers: [51, 13]
Generated Node #0,1,1: 25:[51, 13] Operation: 59-46=13
Exploring Operation: 51-46=5, Resulting Numbers: [59, 5]
Generated Node #0,1,2: 25:[59, 5] Operation: 51-46=5
Exploring Operation: 59-51=8, Resulting Numbers: [46, 8]
Generated Node #0,1,3: 25:[46, 8] Operation: 59-51=8
Exploring Operation: 59+51=110, Resulting Numbers: [46, 110]
Generated Node #0,1,4: 25:[46, 110] Operation: 59+51=110
Moving to Node #0,2
Current State: 25:[91, 40, 13], Operations: ['59-46=13']
Exploring Operation: 91/13=7, Resulting Numbers: [40, 7]
Generated Node #0,2,0: 25:[40, 7] Operation: 91/13=7
Exploring Operation: 91-40=51, Resulting Numbers: [13, 51]
Generated Node #0,2,1: 25:[13, 51] Operation: 91-40=51
Exploring Operation: 91-13=78, Resulting Numbers: [40, 78]
Generated Node #0,2,2: 25:[40, 78] Operation: 91-13=78
Exploring Operation: 40-13=27, Resulting Numbers: [91, 27]
Generated Node #0,2,3: 25:[91, 27] Operation: 40-13=27
Exploring Operation: 91+13=104, Resulting Numbers: [40, 104]
Generated Node #0,2,4: 25:[40, 104] Operation: 91+13=104
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 25:[40, 7], Operations: ['59-46=13', '91/13=7']
Exploring Operation: 40+7=47, Resulting Numbers: [47]
47,25 unequal: No Solution
Exploring Operation: 40-7=33, Resulting Numbers: [33]
33,25 unequal: No Solution
Exploring Operation: 40*7=280, Resulting Numbers: [280]
280,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 25:[13, 51], Operations: ['59-46=13', '91-40=51']
Exploring Operation: 13+51=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 13*51=663, Resulting Numbers: [663]
663,25 unequal: No Solution
Exploring Operation: 51-13=38, Resulting Numbers: [38]
38,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 25:[40, 78], Operations: ['59-46=13', '91-13=78']
Exploring Operation: 78-40=38, Resulting Numbers: [38]
38,25 unequal: No Solution
Exploring Operation: 40+78=118, Resulting Numbers: [118]
118,25 unequal: No Solution
Exploring Operation: 40*78=3120, Resulting Numbers: [3120]
3120,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 25:[91, 27], Operations: ['59-46=13', '40-13=27']
Exploring Operation: 91-27=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 91+27=118, Resulting Numbers: [118]
118,25 unequal: No Solution
Exploring Operation: 91*27=2457, Resulting Numbers: [2457]
2457,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 25:[40, 104], Operations: ['59-46=13', '91+13=104']
Exploring Operation: 40+104=144, Resulting Numbers: [144]
144,25 unequal: No Solution
Exploring Operation: 40*104=4160, Resulting Numbers: [4160]
4160,25 unequal: No Solution
Exploring Operation: 104-40=64, Resulting Numbers: [64]
64,25 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: 25:[91, 46, 19], Operations: ['59-40=19']
Exploring Operation: 46-19=27, Resulting Numbers: [91, 27]
Generated Node #0,4,0: 25:[91, 27] Operation: 46-19=27
Exploring Operation: 46+19=65, Resulting Numbers: [91, 65]
Generated Node #0,4,1: 25:[91, 65] Operation: 46+19=65
Exploring Operation: 91-19=72, Resulting Numbers: [46, 72]
Generated Node #0,4,2: 25:[46, 72] Operation: 91-19=72
Exploring Operation: 91-46=45, Resulting Numbers: [19, 45]
Generated Node #0,4,3: 25:[19, 45] Operation: 91-46=45
Exploring Operation: 91+19=110, Resulting Numbers: [46, 110]
Generated Node #0,4,4: 25:[46, 110] Operation: 91+19=110
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 25:[19, 45], Operations: ['59-40=19', '91-46=45']
Exploring Operation: 19+45=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 19*45=855, Resulting Numbers: [855]
855,25 unequal: No Solution
Exploring Operation: 45-19=26, Resulting Numbers: [26]
26,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 25:[91, 27], Operations: ['59-40=19', '46-19=27']
Exploring Operation: 91+27=118, Resulting Numbers: [118]
118,25 unequal: No Solution
Exploring Operation: 91*27=2457, Resulting Numbers: [2457]
2457,25 unequal: No Solution
Exploring Operation: 91-27=64, Resulting Numbers: [64]
64,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 25:[46, 72], Operations: ['59-40=19', '91-19=72']
Exploring Operation: 46+72=118, Resulting Numbers: [118]
118,25 unequal: No Solution
Exploring Operation: 46*72=3312, Resulting Numbers: [3312]
3312,25 unequal: No Solution
Exploring Operation: 72-46=26, Resulting Numbers: [26]
26,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 25:[91, 65], Operations: ['59-40=19', '46+19=65']
Exploring Operation: 91*65=5915, Resulting Numbers: [5915]
5915,25 unequal: No Solution
Exploring Operation: 91-65=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 91+65=156, Resulting Numbers: [156]
156,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 25:[46, 110], Operations: ['59-40=19', '91+19=110']
Exploring Operation: 46*110=5060, Resulting Numbers: [5060]
5060,25 unequal: No Solution
Exploring Operation: 110-46=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 46+110=156, Resulting Numbers: [156]
156,25 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: 25:[32, 6], Operations: ['91-59=32', '46-40=6']
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 32+6=38, Resulting Numbers: [38]
38,25 unequal: No Solution
Exploring Operation: 32*6=192, Resulting Numbers: [192]
192,25 unequal: No Solution
Moving to Node #0,3,3
Current State: 25:[46, 8], Operations: ['91-59=32', '40-32=8']
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,25 unequal: No Solution
Exploring Operation: 46*8=368, Resulting Numbers: [368]
368,25 unequal: No Solution
Exploring Operation: 46+8=54, Resulting Numbers: [54]
54,25 unequal: No Solution
Moving to Node #0,1,3
Current State: 25:[46, 8], Operations: ['91-40=51', '59-51=8']
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,25 unequal: No Solution
Exploring Operation: 46*8=368, Resulting Numbers: [368]
368,25 unequal: No Solution
Exploring Operation: 46+8=54, Resulting Numbers: [54]
54,25 unequal: No Solution
Moving to Node #0,3,1
Current State: 25:[40, 14], Operations: ['91-59=32', '46-32=14']
Exploring Operation: 40+14=54, Resulting Numbers: [54]
54,25 unequal: No Solution
Exploring Operation: 40-14=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 40*14=560, Resulting Numbers: [560]
560,25 unequal: No Solution
Moving to Node #0,1,1
Current State: 25:[51, 13], Operations: ['91-40=51', '59-46=13']
Exploring Operation: 51*13=663, Resulting Numbers: [663]
663,25 unequal: No Solution
Exploring Operation: 51-13=38, Resulting Numbers: [38]
38,25 unequal: No Solution
Exploring Operation: 51+13=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Moving to Node #0,1,2
Current State: 25:[59, 5], Operations: ['91-40=51', '51-46=5']
Exploring Operation: 59+5=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 59-5=54, Resulting Numbers: [54]
54,25 unequal: No Solution
Exploring Operation: 59*5=295, Resulting Numbers: [295]
295,25 unequal: No Solution
Moving to Node #0,3,4
Current State: 25:[46, 72], Operations: ['91-59=32', '40+32=72']
Exploring Operation: 72-46=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 46+72=118, Resulting Numbers: [118]
118,25 unequal: No Solution
Exploring Operation: 46*72=3312, Resulting Numbers: [3312]
3312,25 unequal: No Solution
Moving to Node #0,3,2
Current State: 25:[32, 86], Operations: ['91-59=32', '40+46=86']
Exploring Operation: 32+86=118, Resulting Numbers: [118]
118,25 unequal: No Solution
Exploring Operation: 32*86=2752, Resulting Numbers: [2752]
2752,25 unequal: No Solution
Exploring Operation: 86-32=54, Resulting Numbers: [54]
54,25 unequal: No Solution
Moving to Node #0,1,0
Current State: 25:[51, 105], Operations: ['91-40=51', '59+46=105']
Exploring Operation: 51*105=5355, Resulting Numbers: [5355]
5355,25 unequal: No Solution
Exploring Operation: 51+105=156, Resulting Numbers: [156]
156,25 unequal: No Solution
Exploring Operation: 105-51=54, Resulting Numbers: [54]
54,25 unequal: No Solution
Moving to Node #0,1,4
Current State: 25:[46, 110], Operations: ['91-40=51', '59+51=110']
Exploring Operation: 46*110=5060, Resulting Numbers: [5060]
5060,25 unequal: No Solution
Exploring Operation: 110-46=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 46+110=156, Resulting Numbers: [156]
156,25 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
88,
83,
94,
57
] | 49 | [
"94-83=11",
"88/11=8",
"57-8=49"
] | Current State: 49:[88, 83, 94, 57], Operations: []
Exploring Operation: 94-83=11, Resulting Numbers: [88, 57, 11]
Generated Node #2: [88, 57, 11] from Operation: 94-83=11
Current State: 49:[88, 57, 11], Operations: ['94-83=11']
Exploring Operation: 88/11=8, Resulting Numbers: [57, 8]
Generated Node #3: [57, 8] from Operation: 88/11=8
Current State: 49:[57, 8], Operations: ['94-83=11', '88/11=8']
Exploring Operation: 57-8=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[88, 83, 94, 57], Operations: []
Exploring Operation: 94-83=11, Resulting Numbers: [88, 57, 11]
Generated Node #0,0: 49:[88, 57, 11] Operation: 94-83=11
Exploring Operation: 94-88=6, Resulting Numbers: [83, 57, 6]
Generated Node #0,1: 49:[83, 57, 6] Operation: 94-88=6
Start Sub Search at level 1: Moving to Node #0,1
Current State: 49:[83, 57, 6], Operations: ['94-88=6']
Exploring Operation: 83-57=26, Resulting Numbers: [6, 26]
Generated Node #0,1,0: 49:[6, 26] Operation: 83-57=26
Exploring Operation: 83-6=77, Resulting Numbers: [57, 77]
Generated Node #0,1,1: 49:[57, 77] Operation: 83-6=77
Moving to Node #0,1,0
Current State: 49:[6, 26], Operations: ['94-88=6', '83-57=26']
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,49 unequal: No Solution
Exploring Operation: 6+26=32, Resulting Numbers: [32]
32,49 unequal: No Solution
Moving to Node #0,1,1
Current State: 49:[57, 77], Operations: ['94-88=6', '83-6=77']
Exploring Operation: 77-57=20, Resulting Numbers: [20]
20,49 unequal: No Solution
Exploring Operation: 57+77=134, Resulting Numbers: [134]
134,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[88, 57, 11], Operations: ['94-83=11']
Exploring Operation: 88/11=8, Resulting Numbers: [57, 8]
Generated Node #0,0,0: 49:[57, 8] Operation: 88/11=8
Exploring Operation: 88-57=31, Resulting Numbers: [11, 31]
Generated Node #0,0,1: 49:[11, 31] Operation: 88-57=31
Moving to Node #0,0,0
Current State: 49:[57, 8], Operations: ['94-83=11', '88/11=8']
Exploring Operation: 57+8=65, Resulting Numbers: [65]
65,49 unequal: No Solution
Exploring Operation: 57-8=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[88, 83, 94, 57], Operations: []
Exploring Operation: 94-83=11, Resulting Numbers: [88, 57, 11]
Generated Node #0,0: 49:[88, 57, 11] Operation: 94-83=11
Moving to Node #0,0
Current State: 49:[88, 57, 11], Operations: ['94-83=11']
Exploring Operation: 88/11=8, Resulting Numbers: [57, 8]
Generated Node #0,0,0: 49:[57, 8] Operation: 88/11=8
Moving to Node #0,0,0
Current State: 49:[57, 8], Operations: ['94-83=11', '88/11=8']
Exploring Operation: 57-8=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_2 | mult_heuristic |
[
37,
22,
47,
42
] | 54 | [
"37+22=59",
"47-42=5",
"59-5=54"
] | Current State: 54:[37, 22, 47, 42], Operations: []
Exploring Operation: 37+22=59, Resulting Numbers: [47, 42, 59]
Generated Node #2: [47, 42, 59] from Operation: 37+22=59
Current State: 54:[47, 42, 59], Operations: ['37+22=59']
Exploring Operation: 47-42=5, Resulting Numbers: [59, 5]
Generated Node #3: [59, 5] from Operation: 47-42=5
Current State: 54:[59, 5], Operations: ['37+22=59', '47-42=5']
Exploring Operation: 59-5=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[37, 22, 47, 42], Operations: []
Exploring Operation: 42-37=5, Resulting Numbers: [22, 47, 5]
Generated Node #0,0: 54:[22, 47, 5] Operation: 42-37=5
Exploring Operation: 47-42=5, Resulting Numbers: [37, 22, 5]
Generated Node #0,1: 54:[37, 22, 5] Operation: 47-42=5
Exploring Operation: 47-37=10, Resulting Numbers: [22, 42, 10]
Generated Node #0,2: 54:[22, 42, 10] Operation: 47-37=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[22, 47, 5], Operations: ['42-37=5']
Exploring Operation: 47-22=25, Resulting Numbers: [5, 25]
Generated Node #0,0,0: 54:[5, 25] Operation: 47-22=25
Exploring Operation: 22+5=27, Resulting Numbers: [47, 27]
Generated Node #0,0,1: 54:[47, 27] Operation: 22+5=27
Exploring Operation: 47+5=52, Resulting Numbers: [22, 52]
Generated Node #0,0,2: 54:[22, 52] Operation: 47+5=52
Moving to Node #0,0,0
Current State: 54:[5, 25], Operations: ['42-37=5', '47-22=25']
Exploring Operation: 5+25=30, Resulting Numbers: [30]
30,54 unequal: No Solution
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,54 unequal: No Solution
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,54 unequal: No Solution
Moving to Node #0,0,2
Current State: 54:[22, 52], Operations: ['42-37=5', '47+5=52']
Exploring Operation: 22*52=1144, Resulting Numbers: [1144]
1144,54 unequal: No Solution
Exploring Operation: 52-22=30, Resulting Numbers: [30]
30,54 unequal: No Solution
Exploring Operation: 22+52=74, Resulting Numbers: [74]
74,54 unequal: No Solution
Moving to Node #0,0,1
Current State: 54:[47, 27], Operations: ['42-37=5', '22+5=27']
Exploring Operation: 47-27=20, Resulting Numbers: [20]
20,54 unequal: No Solution
Exploring Operation: 47*27=1269, Resulting Numbers: [1269]
1269,54 unequal: No Solution
Exploring Operation: 47+27=74, Resulting Numbers: [74]
74,54 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 #0,1
Current State: 54:[37, 22, 5], Operations: ['47-42=5']
Exploring Operation: 37+22=59, Resulting Numbers: [5, 59]
Generated Node #0,1,0: 54:[5, 59] Operation: 37+22=59
Exploring Operation: 37-22=15, Resulting Numbers: [5, 15]
Generated Node #0,1,1: 54:[5, 15] Operation: 37-22=15
Exploring Operation: 37-5=32, Resulting Numbers: [22, 32]
Generated Node #0,1,2: 54:[22, 32] Operation: 37-5=32
Moving to Node #0,1,1
Current State: 54:[5, 15], Operations: ['47-42=5', '37-22=15']
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,54 unequal: No Solution
Exploring Operation: 5+15=20, Resulting Numbers: [20]
20,54 unequal: No Solution
Moving to Node #0,1,0
Current State: 54:[5, 59], Operations: ['47-42=5', '37+22=59']
Exploring Operation: 59-5=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[37, 22, 47, 42], Operations: []
Exploring Operation: 47-42=5, Resulting Numbers: [37, 22, 5]
Generated Node #0,1: 54:[37, 22, 5] Operation: 47-42=5
Moving to Node #0,1
Current State: 54:[37, 22, 5], Operations: ['47-42=5']
Exploring Operation: 37+22=59, Resulting Numbers: [5, 59]
Generated Node #0,1,0: 54:[5, 59] Operation: 37+22=59
Moving to Node #0,1,0
Current State: 54:[5, 59], Operations: ['47-42=5', '37+22=59']
Exploring Operation: 59-5=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_3 | mult_heuristic |
[
11,
74,
94,
91
] | 66 | [
"74-11=63",
"94-91=3",
"63+3=66"
] | Current State: 66:[11, 74, 94, 91], Operations: []
Exploring Operation: 74-11=63, Resulting Numbers: [94, 91, 63]
Generated Node #2: [94, 91, 63] from Operation: 74-11=63
Current State: 66:[94, 91, 63], Operations: ['74-11=63']
Exploring Operation: 94-91=3, Resulting Numbers: [63, 3]
Generated Node #3: [63, 3] from Operation: 94-91=3
Current State: 66:[63, 3], Operations: ['74-11=63', '94-91=3']
Exploring Operation: 63+3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[11, 74, 94, 91], Operations: []
Exploring Operation: 94-91=3, Resulting Numbers: [11, 74, 3]
Generated Node #0,0: 66:[11, 74, 3] Operation: 94-91=3
Exploring Operation: 91-74=17, Resulting Numbers: [11, 94, 17]
Generated Node #0,1: 66:[11, 94, 17] Operation: 91-74=17
Exploring Operation: 94-74=20, Resulting Numbers: [11, 91, 20]
Generated Node #0,2: 66:[11, 91, 20] Operation: 94-74=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[11, 74, 3], Operations: ['94-91=3']
Exploring Operation: 74-3=71, Resulting Numbers: [11, 71]
Generated Node #0,0,0: 66:[11, 71] Operation: 74-3=71
Exploring Operation: 74-11=63, Resulting Numbers: [3, 63]
Generated Node #0,0,1: 66:[3, 63] Operation: 74-11=63
Exploring Operation: 11*3=33, Resulting Numbers: [74, 33]
Generated Node #0,0,2: 66:[74, 33] Operation: 11*3=33
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 66:[3, 63], Operations: ['94-91=3', '74-11=63']
Exploring Operation: 63/3=21, Resulting Numbers: [21]
21,66 unequal: No Solution
Exploring Operation: 63-3=60, Resulting Numbers: [60]
60,66 unequal: No Solution
Exploring Operation: 3+63=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[11, 74, 94, 91], Operations: []
Exploring Operation: 94-91=3, Resulting Numbers: [11, 74, 3]
Generated Node #0,0: 66:[11, 74, 3] Operation: 94-91=3
Moving to Node #0,0
Current State: 66:[11, 74, 3], Operations: ['94-91=3']
Exploring Operation: 74-11=63, Resulting Numbers: [3, 63]
Generated Node #0,0,1: 66:[3, 63] Operation: 74-11=63
Moving to Node #0,0,1
Current State: 66:[3, 63], Operations: ['94-91=3', '74-11=63']
Exploring Operation: 3+63=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
4,
88,
69,
95
] | 72 | [
"4+88=92",
"69+95=164",
"164-92=72"
] | Current State: 72:[4, 88, 69, 95], Operations: []
Exploring Operation: 4+88=92, Resulting Numbers: [69, 95, 92]
Generated Node #2: [69, 95, 92] from Operation: 4+88=92
Current State: 72:[69, 95, 92], Operations: ['4+88=92']
Exploring Operation: 69+95=164, Resulting Numbers: [92, 164]
Generated Node #3: [92, 164] from Operation: 69+95=164
Current State: 72:[92, 164], Operations: ['4+88=92', '69+95=164']
Exploring Operation: 164-92=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[4, 88, 69, 95], Operations: []
Exploring Operation: 95-69=26, Resulting Numbers: [4, 88, 26]
Generated Node #0,0: 72:[4, 88, 26] Operation: 95-69=26
Exploring Operation: 88-69=19, Resulting Numbers: [4, 95, 19]
Generated Node #0,1: 72:[4, 95, 19] Operation: 88-69=19
Exploring Operation: 95-88=7, Resulting Numbers: [4, 69, 7]
Generated Node #0,2: 72:[4, 69, 7] Operation: 95-88=7
Start Sub Search at level 1: Moving to Node #0,2
Current State: 72:[4, 69, 7], Operations: ['95-88=7']
Exploring Operation: 7-4=3, Resulting Numbers: [69, 3]
Generated Node #0,2,0: 72:[69, 3] Operation: 7-4=3
Exploring Operation: 4+69=73, Resulting Numbers: [7, 73]
Generated Node #0,2,1: 72:[7, 73] Operation: 4+69=73
Exploring Operation: 4+7=11, Resulting Numbers: [69, 11]
Generated Node #0,2,2: 72:[69, 11] Operation: 4+7=11
Moving to Node #0,2,1
Current State: 72:[7, 73], Operations: ['95-88=7', '4+69=73']
Exploring Operation: 7+73=80, Resulting Numbers: [80]
80,72 unequal: No Solution
Exploring Operation: 7*73=511, Resulting Numbers: [511]
511,72 unequal: No Solution
Exploring Operation: 73-7=66, Resulting Numbers: [66]
66,72 unequal: No Solution
Moving to Node #0,2,0
Current State: 72:[69, 3], Operations: ['95-88=7', '7-4=3']
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[4, 88, 69, 95], Operations: []
Exploring Operation: 95-88=7, Resulting Numbers: [4, 69, 7]
Generated Node #0,2: 72:[4, 69, 7] Operation: 95-88=7
Moving to Node #0,2
Current State: 72:[4, 69, 7], Operations: ['95-88=7']
Exploring Operation: 7-4=3, Resulting Numbers: [69, 3]
Generated Node #0,2,0: 72:[69, 3] Operation: 7-4=3
Moving to Node #0,2,0
Current State: 72:[69, 3], Operations: ['95-88=7', '7-4=3']
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | sum_heuristic |
[
86,
73,
49,
47
] | 83 | [
"86-73=13",
"49+47=96",
"96-13=83"
] | Current State: 83:[86, 73, 49, 47], Operations: []
Exploring Operation: 86-73=13, Resulting Numbers: [49, 47, 13]
Generated Node #2: [49, 47, 13] from Operation: 86-73=13
Current State: 83:[49, 47, 13], Operations: ['86-73=13']
Exploring Operation: 49+47=96, Resulting Numbers: [13, 96]
Generated Node #3: [13, 96] from Operation: 49+47=96
Current State: 83:[13, 96], Operations: ['86-73=13', '49+47=96']
Exploring Operation: 96-13=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[86, 73, 49, 47], Operations: []
Exploring Operation: 49+47=96, Resulting Numbers: [86, 73, 96]
Generated Node #0,0: 83:[86, 73, 96] Operation: 49+47=96
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[86, 73, 96], Operations: ['49+47=96']
Exploring Operation: 96-73=23, Resulting Numbers: [86, 23]
Generated Node #0,0,0: 83:[86, 23] Operation: 96-73=23
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[86, 23], Operations: ['49+47=96', '96-73=23']
Exploring Operation: 86-23=63, Resulting Numbers: [63]
63,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
45,
6,
9,
6
] | 48 | [
"45+6=51",
"9-6=3",
"51-3=48"
] | Current State: 48:[45, 6, 9, 6], Operations: []
Exploring Operation: 45+6=51, Resulting Numbers: [9, 51]
Generated Node #2: [9, 51] from Operation: 45+6=51
Current State: 48:[9, 51], Operations: ['45+6=51']
Exploring Operation: 9-6=3, Resulting Numbers: [51, 3]
Generated Node #3: [51, 3] from Operation: 9-6=3
Current State: 48:[51, 3], Operations: ['45+6=51', '9-6=3']
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[45, 6, 9, 6], Operations: []
Exploring Operation: 45+6=51, Resulting Numbers: [6, 9, 51]
Generated Node #0,0: 48:[6, 9, 51] Operation: 45+6=51
Exploring Operation: 9-6=3, Resulting Numbers: [45, 6, 3]
Generated Node #0,1: 48:[45, 6, 3] Operation: 9-6=3
Exploring Operation: 45+6=51, Resulting Numbers: [9, 6, 51]
Generated Node #0,2: 48:[9, 6, 51] Operation: 45+6=51
Exploring Operation: 9-6=3, Resulting Numbers: [45, 6, 3]
Generated Node #0,3: 48:[45, 6, 3] Operation: 9-6=3
Exploring Operation: 45/9=5, Resulting Numbers: [6, 6, 5]
Generated Node #0,4: 48:[6, 6, 5] Operation: 45/9=5
Moving to Node #0,4
Current State: 48:[6, 6, 5], Operations: ['45/9=5']
Exploring Operation: 6+5=11, Resulting Numbers: [6, 11]
Generated Node #0,4,0: 48:[6, 11] Operation: 6+5=11
Exploring Operation: 6+5=11, Resulting Numbers: [6, 11]
Generated Node #0,4,1: 48:[6, 11] Operation: 6+5=11
Exploring Operation: 6-5=1, Resulting Numbers: [6, 1]
Generated Node #0,4,2: 48:[6, 1] Operation: 6-5=1
Exploring Operation: 6-5=1, Resulting Numbers: [6, 1]
Generated Node #0,4,3: 48:[6, 1] Operation: 6-5=1
Exploring Operation: 6+6=12, Resulting Numbers: [5, 12]
Generated Node #0,4,4: 48:[5, 12] Operation: 6+6=12
Moving to Node #0,3
Current State: 48:[45, 6, 3], Operations: ['9-6=3']
Exploring Operation: 45/3=15, Resulting Numbers: [6, 15]
Generated Node #0,3,0: 48:[6, 15] Operation: 45/3=15
Exploring Operation: 6/3=2, Resulting Numbers: [45, 2]
Generated Node #0,3,1: 48:[45, 2] Operation: 6/3=2
Exploring Operation: 6-3=3, Resulting Numbers: [45, 3]
Generated Node #0,3,2: 48:[45, 3] Operation: 6-3=3
Exploring Operation: 45+3=48, Resulting Numbers: [6, 48]
Generated Node #0,3,3: 48:[6, 48] Operation: 45+3=48
Exploring Operation: 45+6=51, Resulting Numbers: [3, 51]
Generated Node #0,3,4: 48:[3, 51] Operation: 45+6=51
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 48:[6, 48], Operations: ['9-6=3', '45+3=48']
Exploring Operation: 6+48=54, Resulting Numbers: [54]
54,48 unequal: No Solution
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,48 unequal: No Solution
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,48 unequal: No Solution
Exploring Operation: 6*48=288, Resulting Numbers: [288]
288,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 48:[6, 15], Operations: ['9-6=3', '45/3=15']
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,48 unequal: No Solution
Exploring Operation: 6*15=90, Resulting Numbers: [90]
90,48 unequal: No Solution
Exploring Operation: 6+15=21, Resulting Numbers: [21]
21,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 48:[45, 2], Operations: ['9-6=3', '6/3=2']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,48 unequal: No Solution
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 48:[45, 3], Operations: ['9-6=3', '6-3=3']
Exploring Operation: 45-3=42, Resulting Numbers: [42]
42,48 unequal: No Solution
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,48 unequal: No Solution
Exploring Operation: 45+3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[45, 6, 9, 6], Operations: []
Exploring Operation: 9-6=3, Resulting Numbers: [45, 6, 3]
Generated Node #0,3: 48:[45, 6, 3] Operation: 9-6=3
Moving to Node #0,3
Current State: 48:[45, 6, 3], Operations: ['9-6=3']
Exploring Operation: 6-3=3, Resulting Numbers: [45, 3]
Generated Node #0,3,2: 48:[45, 3] Operation: 6-3=3
Moving to Node #0,3,2
Current State: 48:[45, 3], Operations: ['9-6=3', '6-3=3']
Exploring Operation: 45+3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.972222 | hs_5 | sum_heuristic |
[
32,
52,
61,
56
] | 25 | [
"52-32=20",
"61-56=5",
"20+5=25"
] | Current State: 25:[32, 52, 61, 56], Operations: []
Exploring Operation: 52-32=20, Resulting Numbers: [61, 56, 20]
Generated Node #2: [61, 56, 20] from Operation: 52-32=20
Current State: 25:[61, 56, 20], Operations: ['52-32=20']
Exploring Operation: 61-56=5, Resulting Numbers: [20, 5]
Generated Node #3: [20, 5] from Operation: 61-56=5
Current State: 25:[20, 5], Operations: ['52-32=20', '61-56=5']
Exploring Operation: 20+5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[32, 52, 61, 56], Operations: []
Exploring Operation: 61-56=5, Resulting Numbers: [32, 52, 5]
Generated Node #0,0: 25:[32, 52, 5] Operation: 61-56=5
Exploring Operation: 61-52=9, Resulting Numbers: [32, 56, 9]
Generated Node #0,1: 25:[32, 56, 9] Operation: 61-52=9
Exploring Operation: 56-52=4, Resulting Numbers: [32, 61, 4]
Generated Node #0,2: 25:[32, 61, 4] Operation: 56-52=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[32, 52, 5], Operations: ['61-56=5']
Exploring Operation: 32-5=27, Resulting Numbers: [52, 27]
Generated Node #0,0,0: 25:[52, 27] Operation: 32-5=27
Exploring Operation: 52-5=47, Resulting Numbers: [32, 47]
Generated Node #0,0,1: 25:[32, 47] Operation: 52-5=47
Exploring Operation: 52-32=20, Resulting Numbers: [5, 20]
Generated Node #0,0,2: 25:[5, 20] Operation: 52-32=20
Moving to Node #0,0,2
Current State: 25:[5, 20], Operations: ['61-56=5', '52-32=20']
Exploring Operation: 5+20=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[32, 52, 61, 56], Operations: []
Exploring Operation: 61-56=5, Resulting Numbers: [32, 52, 5]
Generated Node #0,0: 25:[32, 52, 5] Operation: 61-56=5
Moving to Node #0,0
Current State: 25:[32, 52, 5], Operations: ['61-56=5']
Exploring Operation: 52-32=20, Resulting Numbers: [5, 20]
Generated Node #0,0,2: 25:[5, 20] Operation: 52-32=20
Moving to Node #0,0,2
Current State: 25:[5, 20], Operations: ['61-56=5', '52-32=20']
Exploring Operation: 5+20=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
71,
2,
46,
71
] | 92 | [
"71+2=73",
"73-71=2",
"46*2=92"
] | Current State: 92:[71, 2, 46, 71], Operations: []
Exploring Operation: 71+2=73, Resulting Numbers: [46, 73]
Generated Node #2: [46, 73] from Operation: 71+2=73
Current State: 92:[46, 73], Operations: ['71+2=73']
Exploring Operation: 73-71=2, Resulting Numbers: [46, 2]
Generated Node #3: [46, 2] from Operation: 73-71=2
Current State: 92:[46, 2], Operations: ['71+2=73', '73-71=2']
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[71, 2, 46, 71], Operations: []
Exploring Operation: 71/71=1, Resulting Numbers: [2, 46, 1]
Generated Node #0,0: 92:[2, 46, 1] Operation: 71/71=1
Exploring Operation: 71-46=25, Resulting Numbers: [2, 71, 25]
Generated Node #0,1: 92:[2, 71, 25] Operation: 71-46=25
Exploring Operation: 71-71=0, Resulting Numbers: [2, 46, 0]
Generated Node #0,2: 92:[2, 46, 0] Operation: 71-71=0
Moving to Node #0,0
Current State: 92:[2, 46, 1], Operations: ['71/71=1']
Exploring Operation: 2/1=2, Resulting Numbers: [46, 2]
Generated Node #0,0,0: 92:[46, 2] Operation: 2/1=2
Exploring Operation: 2*1=2, Resulting Numbers: [46, 2]
Generated Node #0,0,1: 92:[46, 2] Operation: 2*1=2
Exploring Operation: 46*1=46, Resulting Numbers: [2, 46]
Generated Node #0,0,2: 92:[2, 46] Operation: 46*1=46
Moving to Node #0,2
Current State: 92:[2, 46, 0], Operations: ['71-71=0']
Exploring Operation: 46+0=46, Resulting Numbers: [2, 46]
Generated Node #0,2,0: 92:[2, 46] Operation: 46+0=46
Exploring Operation: 2-0=2, Resulting Numbers: [46, 2]
Generated Node #0,2,1: 92:[46, 2] Operation: 2-0=2
Exploring Operation: 2+0=2, Resulting Numbers: [46, 2]
Generated Node #0,2,2: 92:[46, 2] Operation: 2+0=2
Moving to Node #0,1
Current State: 92:[2, 71, 25], Operations: ['71-46=25']
Exploring Operation: 71+25=96, Resulting Numbers: [2, 96]
Generated Node #0,1,0: 92:[2, 96] Operation: 71+25=96
Exploring Operation: 2+71=73, Resulting Numbers: [25, 73]
Generated Node #0,1,1: 92:[25, 73] Operation: 2+71=73
Exploring Operation: 71-25=46, Resulting Numbers: [2, 46]
Generated Node #0,1,2: 92:[2, 46] Operation: 71-25=46
Moving to Node #0,0,0
Current State: 92:[46, 2], Operations: ['71/71=1', '2/1=2']
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,92 unequal: No Solution
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,92 unequal: No Solution
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[71, 2, 46, 71], Operations: []
Exploring Operation: 71/71=1, Resulting Numbers: [2, 46, 1]
Generated Node #0,0: 92:[2, 46, 1] Operation: 71/71=1
Moving to Node #0,0
Current State: 92:[2, 46, 1], Operations: ['71/71=1']
Exploring Operation: 2/1=2, Resulting Numbers: [46, 2]
Generated Node #0,0,0: 92:[46, 2] Operation: 2/1=2
Moving to Node #0,0,0
Current State: 92:[46, 2], Operations: ['71/71=1', '2/1=2']
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 0.983507 | hs_3 | sum_heuristic |
[
9,
11,
12,
25
] | 44 | [
"9+12=21",
"25-21=4",
"11*4=44"
] | Current State: 44:[9, 11, 12, 25], Operations: []
Exploring Operation: 9+12=21, Resulting Numbers: [11, 25, 21]
Generated Node #2: [11, 25, 21] from Operation: 9+12=21
Current State: 44:[11, 25, 21], Operations: ['9+12=21']
Exploring Operation: 25-21=4, Resulting Numbers: [11, 4]
Generated Node #3: [11, 4] from Operation: 25-21=4
Current State: 44:[11, 4], Operations: ['9+12=21', '25-21=4']
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[9, 11, 12, 25], Operations: []
Exploring Operation: 11-9=2, Resulting Numbers: [12, 25, 2]
Generated Node #0,0: 44:[12, 25, 2] Operation: 11-9=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[12, 25, 2], Operations: ['11-9=2']
Exploring Operation: 25-12=13, Resulting Numbers: [2, 13]
Generated Node #0,0,0: 44:[2, 13] Operation: 25-12=13
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 44:[2, 13], Operations: ['11-9=2', '25-12=13']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
96,
7,
38,
83
] | 18 | [
"96+7=103",
"38+83=121",
"121-103=18"
] | Current State: 18:[96, 7, 38, 83], Operations: []
Exploring Operation: 96+7=103, Resulting Numbers: [38, 83, 103]
Generated Node #2: [38, 83, 103] from Operation: 96+7=103
Current State: 18:[38, 83, 103], Operations: ['96+7=103']
Exploring Operation: 38+83=121, Resulting Numbers: [103, 121]
Generated Node #3: [103, 121] from Operation: 38+83=121
Current State: 18:[103, 121], Operations: ['96+7=103', '38+83=121']
Exploring Operation: 121-103=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[96, 7, 38, 83], Operations: []
Exploring Operation: 96-7=89, Resulting Numbers: [38, 83, 89]
Generated Node #0,0: 18:[38, 83, 89] Operation: 96-7=89
Exploring Operation: 96-83=13, Resulting Numbers: [7, 38, 13]
Generated Node #0,1: 18:[7, 38, 13] Operation: 96-83=13
Exploring Operation: 83-38=45, Resulting Numbers: [96, 7, 45]
Generated Node #0,2: 18:[96, 7, 45] Operation: 83-38=45
Exploring Operation: 96-38=58, Resulting Numbers: [7, 83, 58]
Generated Node #0,3: 18:[7, 83, 58] Operation: 96-38=58
Exploring Operation: 38-7=31, Resulting Numbers: [96, 83, 31]
Generated Node #0,4: 18:[96, 83, 31] Operation: 38-7=31
Moving to Node #0,1
Current State: 18:[7, 38, 13], Operations: ['96-83=13']
Exploring Operation: 13-7=6, Resulting Numbers: [38, 6]
Generated Node #0,1,0: 18:[38, 6] Operation: 13-7=6
Exploring Operation: 38-7=31, Resulting Numbers: [13, 31]
Generated Node #0,1,1: 18:[13, 31] Operation: 38-7=31
Exploring Operation: 7+38=45, Resulting Numbers: [13, 45]
Generated Node #0,1,2: 18:[13, 45] Operation: 7+38=45
Exploring Operation: 7+13=20, Resulting Numbers: [38, 20]
Generated Node #0,1,3: 18:[38, 20] Operation: 7+13=20
Exploring Operation: 38-13=25, Resulting Numbers: [7, 25]
Generated Node #0,1,4: 18:[7, 25] Operation: 38-13=25
Moving to Node #0,3
Current State: 18:[7, 83, 58], Operations: ['96-38=58']
Exploring Operation: 7+83=90, Resulting Numbers: [58, 90]
Generated Node #0,3,0: 18:[58, 90] Operation: 7+83=90
Exploring Operation: 7+58=65, Resulting Numbers: [83, 65]
Generated Node #0,3,1: 18:[83, 65] Operation: 7+58=65
Exploring Operation: 83-7=76, Resulting Numbers: [58, 76]
Generated Node #0,3,2: 18:[58, 76] Operation: 83-7=76
Exploring Operation: 58-7=51, Resulting Numbers: [83, 51]
Generated Node #0,3,3: 18:[83, 51] Operation: 58-7=51
Exploring Operation: 83-58=25, Resulting Numbers: [7, 25]
Generated Node #0,3,4: 18:[7, 25] Operation: 83-58=25
Moving to Node #0,2
Current State: 18:[96, 7, 45], Operations: ['83-38=45']
Exploring Operation: 45-7=38, Resulting Numbers: [96, 38]
Generated Node #0,2,0: 18:[96, 38] Operation: 45-7=38
Exploring Operation: 96-7=89, Resulting Numbers: [45, 89]
Generated Node #0,2,1: 18:[45, 89] Operation: 96-7=89
Exploring Operation: 96-45=51, Resulting Numbers: [7, 51]
Generated Node #0,2,2: 18:[7, 51] Operation: 96-45=51
Exploring Operation: 96+7=103, Resulting Numbers: [45, 103]
Generated Node #0,2,3: 18:[45, 103] Operation: 96+7=103
Exploring Operation: 7+45=52, Resulting Numbers: [96, 52]
Generated Node #0,2,4: 18:[96, 52] Operation: 7+45=52
Moving to Node #0,0
Current State: 18:[38, 83, 89], Operations: ['96-7=89']
Exploring Operation: 38+89=127, Resulting Numbers: [83, 127]
Generated Node #0,0,0: 18:[83, 127] Operation: 38+89=127
Exploring Operation: 89-83=6, Resulting Numbers: [38, 6]
Generated Node #0,0,1: 18:[38, 6] Operation: 89-83=6
Exploring Operation: 38+83=121, Resulting Numbers: [89, 121]
Generated Node #0,0,2: 18:[89, 121] Operation: 38+83=121
Exploring Operation: 89-38=51, Resulting Numbers: [83, 51]
Generated Node #0,0,3: 18:[83, 51] Operation: 89-38=51
Exploring Operation: 83-38=45, Resulting Numbers: [89, 45]
Generated Node #0,0,4: 18:[89, 45] Operation: 83-38=45
Moving to Node #0,4
Current State: 18:[96, 83, 31], Operations: ['38-7=31']
Exploring Operation: 96+83=179, Resulting Numbers: [31, 179]
Generated Node #0,4,0: 18:[31, 179] Operation: 96+83=179
Exploring Operation: 83-31=52, Resulting Numbers: [96, 52]
Generated Node #0,4,1: 18:[96, 52] Operation: 83-31=52
Exploring Operation: 96-83=13, Resulting Numbers: [31, 13]
Generated Node #0,4,2: 18:[31, 13] Operation: 96-83=13
Exploring Operation: 96+31=127, Resulting Numbers: [83, 127]
Generated Node #0,4,3: 18:[83, 127] Operation: 96+31=127
Exploring Operation: 96-31=65, Resulting Numbers: [83, 65]
Generated Node #0,4,4: 18:[83, 65] Operation: 96-31=65
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 18:[31, 13], Operations: ['38-7=31', '96-83=13']
Exploring Operation: 31+13=44, Resulting Numbers: [44]
44,18 unequal: No Solution
Exploring Operation: 31-13=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[96, 7, 38, 83], Operations: []
Exploring Operation: 38-7=31, Resulting Numbers: [96, 83, 31]
Generated Node #0,4: 18:[96, 83, 31] Operation: 38-7=31
Moving to Node #0,4
Current State: 18:[96, 83, 31], Operations: ['38-7=31']
Exploring Operation: 96-83=13, Resulting Numbers: [31, 13]
Generated Node #0,4,2: 18:[31, 13] Operation: 96-83=13
Moving to Node #0,4,2
Current State: 18:[31, 13], Operations: ['38-7=31', '96-83=13']
Exploring Operation: 31-13=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_5 | mult_heuristic |
[
23,
76,
64,
24
] | 25 | [
"76-64=12",
"24/12=2",
"23+2=25"
] | Current State: 25:[23, 76, 64, 24], Operations: []
Exploring Operation: 76-64=12, Resulting Numbers: [23, 24, 12]
Generated Node #2: [23, 24, 12] from Operation: 76-64=12
Current State: 25:[23, 24, 12], Operations: ['76-64=12']
Exploring Operation: 24/12=2, Resulting Numbers: [23, 2]
Generated Node #3: [23, 2] from Operation: 24/12=2
Current State: 25:[23, 2], Operations: ['76-64=12', '24/12=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[23, 76, 64, 24], Operations: []
Exploring Operation: 76-24=52, Resulting Numbers: [23, 64, 52]
Generated Node #0,0: 25:[23, 64, 52] Operation: 76-24=52
Exploring Operation: 76-23=53, Resulting Numbers: [64, 24, 53]
Generated Node #0,1: 25:[64, 24, 53] Operation: 76-23=53
Exploring Operation: 64-23=41, Resulting Numbers: [76, 24, 41]
Generated Node #0,2: 25:[76, 24, 41] Operation: 64-23=41
Exploring Operation: 76-64=12, Resulting Numbers: [23, 24, 12]
Generated Node #0,3: 25:[23, 24, 12] Operation: 76-64=12
Start Sub Search at level 1: Moving to Node #0,3
Current State: 25:[23, 24, 12], Operations: ['76-64=12']
Exploring Operation: 23-12=11, Resulting Numbers: [24, 11]
Generated Node #0,3,0: 25:[24, 11] Operation: 23-12=11
Exploring Operation: 24-23=1, Resulting Numbers: [12, 1]
Generated Node #0,3,1: 25:[12, 1] Operation: 24-23=1
Exploring Operation: 24/12=2, Resulting Numbers: [23, 2]
Generated Node #0,3,2: 25:[23, 2] Operation: 24/12=2
Exploring Operation: 24-12=12, Resulting Numbers: [23, 12]
Generated Node #0,3,3: 25:[23, 12] Operation: 24-12=12
Moving to Node #0,3,2
Current State: 25:[23, 2], Operations: ['76-64=12', '24/12=2']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,25 unequal: No Solution
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,25 unequal: No Solution
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[23, 76, 64, 24], Operations: []
Exploring Operation: 76-64=12, Resulting Numbers: [23, 24, 12]
Generated Node #0,3: 25:[23, 24, 12] Operation: 76-64=12
Moving to Node #0,3
Current State: 25:[23, 24, 12], Operations: ['76-64=12']
Exploring Operation: 24/12=2, Resulting Numbers: [23, 2]
Generated Node #0,3,2: 25:[23, 2] Operation: 24/12=2
Moving to Node #0,3,2
Current State: 25:[23, 2], Operations: ['76-64=12', '24/12=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
8,
22,
98,
6
] | 21 | [
"22+98=120",
"120/8=15",
"6+15=21"
] | Current State: 21:[8, 22, 98, 6], Operations: []
Exploring Operation: 22+98=120, Resulting Numbers: [8, 6, 120]
Generated Node #2: [8, 6, 120] from Operation: 22+98=120
Current State: 21:[8, 6, 120], Operations: ['22+98=120']
Exploring Operation: 120/8=15, Resulting Numbers: [6, 15]
Generated Node #3: [6, 15] from Operation: 120/8=15
Current State: 21:[6, 15], Operations: ['22+98=120', '120/8=15']
Exploring Operation: 6+15=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[8, 22, 98, 6], Operations: []
Exploring Operation: 8-6=2, Resulting Numbers: [22, 98, 2]
Generated Node #0,0: 21:[22, 98, 2] Operation: 8-6=2
Exploring Operation: 98-6=92, Resulting Numbers: [8, 22, 92]
Generated Node #0,1: 21:[8, 22, 92] Operation: 98-6=92
Exploring Operation: 98-8=90, Resulting Numbers: [22, 6, 90]
Generated Node #0,2: 21:[22, 6, 90] Operation: 98-8=90
Exploring Operation: 98-22=76, Resulting Numbers: [8, 6, 76]
Generated Node #0,3: 21:[8, 6, 76] Operation: 98-22=76
Moving to Node #0,3
Current State: 21:[8, 6, 76], Operations: ['98-22=76']
Exploring Operation: 8+6=14, Resulting Numbers: [76, 14]
Generated Node #0,3,0: 21:[76, 14] Operation: 8+6=14
Exploring Operation: 76-8=68, Resulting Numbers: [6, 68]
Generated Node #0,3,1: 21:[6, 68] Operation: 76-8=68
Exploring Operation: 76-6=70, Resulting Numbers: [8, 70]
Generated Node #0,3,2: 21:[8, 70] Operation: 76-6=70
Exploring Operation: 8-6=2, Resulting Numbers: [76, 2]
Generated Node #0,3,3: 21:[76, 2] Operation: 8-6=2
Moving to Node #0,2
Current State: 21:[22, 6, 90], Operations: ['98-8=90']
Exploring Operation: 22-6=16, Resulting Numbers: [90, 16]
Generated Node #0,2,0: 21:[90, 16] Operation: 22-6=16
Exploring Operation: 90-22=68, Resulting Numbers: [6, 68]
Generated Node #0,2,1: 21:[6, 68] Operation: 90-22=68
Exploring Operation: 90/6=15, Resulting Numbers: [22, 15]
Generated Node #0,2,2: 21:[22, 15] Operation: 90/6=15
Exploring Operation: 90-6=84, Resulting Numbers: [22, 84]
Generated Node #0,2,3: 21:[22, 84] Operation: 90-6=84
Moving to Node #0,1
Current State: 21:[8, 22, 92], Operations: ['98-6=92']
Exploring Operation: 92-22=70, Resulting Numbers: [8, 70]
Generated Node #0,1,0: 21:[8, 70] Operation: 92-22=70
Exploring Operation: 8+22=30, Resulting Numbers: [92, 30]
Generated Node #0,1,1: 21:[92, 30] Operation: 8+22=30
Exploring Operation: 22-8=14, Resulting Numbers: [92, 14]
Generated Node #0,1,2: 21:[92, 14] Operation: 22-8=14
Exploring Operation: 92-8=84, Resulting Numbers: [22, 84]
Generated Node #0,1,3: 21:[22, 84] Operation: 92-8=84
Moving to Node #0,0
Current State: 21:[22, 98, 2], Operations: ['8-6=2']
Exploring Operation: 98-2=96, Resulting Numbers: [22, 96]
Generated Node #0,0,0: 21:[22, 96] Operation: 98-2=96
Exploring Operation: 98/2=49, Resulting Numbers: [22, 49]
Generated Node #0,0,1: 21:[22, 49] Operation: 98/2=49
Exploring Operation: 22-2=20, Resulting Numbers: [98, 20]
Generated Node #0,0,2: 21:[98, 20] Operation: 22-2=20
Exploring Operation: 98-22=76, Resulting Numbers: [2, 76]
Generated Node #0,0,3: 21:[2, 76] Operation: 98-22=76
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 21:[22, 49], Operations: ['8-6=2', '98/2=49']
Exploring Operation: 49-22=27, Resulting Numbers: [27]
27,21 unequal: No Solution
Exploring Operation: 22+49=71, Resulting Numbers: [71]
71,21 unequal: No Solution
Exploring Operation: 22*49=1078, Resulting Numbers: [1078]
1078,21 unequal: No Solution
No 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: 21:[2, 76], Operations: ['8-6=2', '98-22=76']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,21 unequal: No Solution
Exploring Operation: 2+76=78, Resulting Numbers: [78]
78,21 unequal: No Solution
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,21 unequal: No Solution
Exploring Operation: 2*76=152, Resulting Numbers: [152]
152,21 unequal: No Solution
No 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: 21:[22, 96], Operations: ['8-6=2', '98-2=96']
Exploring Operation: 96-22=74, Resulting Numbers: [74]
74,21 unequal: No Solution
Exploring Operation: 22+96=118, Resulting Numbers: [118]
118,21 unequal: No Solution
Exploring Operation: 22*96=2112, Resulting Numbers: [2112]
2112,21 unequal: No Solution
No 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: 21:[98, 20], Operations: ['8-6=2', '22-2=20']
Exploring Operation: 98-20=78, Resulting Numbers: [78]
78,21 unequal: No Solution
Exploring Operation: 98*20=1960, Resulting Numbers: [1960]
1960,21 unequal: No Solution
Exploring Operation: 98+20=118, Resulting Numbers: [118]
118,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 21:[22, 15], Operations: ['98-8=90', '90/6=15']
Exploring Operation: 22-15=7, Resulting Numbers: [7]
7,21 unequal: No Solution
Exploring Operation: 22+15=37, Resulting Numbers: [37]
37,21 unequal: No Solution
Exploring Operation: 22*15=330, Resulting Numbers: [330]
330,21 unequal: No Solution
Moving to Node #0,2,1
Current State: 21:[6, 68], Operations: ['98-8=90', '90-22=68']
Exploring Operation: 6*68=408, Resulting Numbers: [408]
408,21 unequal: No Solution
Exploring Operation: 68-6=62, Resulting Numbers: [62]
62,21 unequal: No Solution
Exploring Operation: 6+68=74, Resulting Numbers: [74]
74,21 unequal: No Solution
Moving to Node #0,3,1
Current State: 21:[6, 68], Operations: ['98-22=76', '76-8=68']
Exploring Operation: 6*68=408, Resulting Numbers: [408]
408,21 unequal: No Solution
Exploring Operation: 6+68=74, Resulting Numbers: [74]
74,21 unequal: No Solution
Exploring Operation: 68-6=62, Resulting Numbers: [62]
62,21 unequal: No Solution
Moving to Node #0,3,2
Current State: 21:[8, 70], Operations: ['98-22=76', '76-6=70']
Exploring Operation: 8+70=78, Resulting Numbers: [78]
78,21 unequal: No Solution
Exploring Operation: 8*70=560, Resulting Numbers: [560]
560,21 unequal: No Solution
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,21 unequal: No Solution
Moving to Node #0,1,0
Current State: 21:[8, 70], Operations: ['98-6=92', '92-22=70']
Exploring Operation: 8*70=560, Resulting Numbers: [560]
560,21 unequal: No Solution
Exploring Operation: 8+70=78, Resulting Numbers: [78]
78,21 unequal: No Solution
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,21 unequal: No Solution
Moving to Node #0,3,3
Current State: 21:[76, 2], Operations: ['98-22=76', '8-6=2']
Exploring Operation: 76*2=152, Resulting Numbers: [152]
152,21 unequal: No Solution
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,21 unequal: No Solution
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,21 unequal: No Solution
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,21 unequal: No Solution
Moving to Node #0,3,0
Current State: 21:[76, 14], Operations: ['98-22=76', '8+6=14']
Exploring Operation: 76*14=1064, Resulting Numbers: [1064]
1064,21 unequal: No Solution
Exploring Operation: 76+14=90, Resulting Numbers: [90]
90,21 unequal: No Solution
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,21 unequal: No Solution
Moving to Node #0,2,3
Current State: 21:[22, 84], Operations: ['98-8=90', '90-6=84']
Exploring Operation: 22*84=1848, Resulting Numbers: [1848]
1848,21 unequal: No Solution
Exploring Operation: 22+84=106, Resulting Numbers: [106]
106,21 unequal: No Solution
Exploring Operation: 84-22=62, Resulting Numbers: [62]
62,21 unequal: No Solution
Moving to Node #0,1,3
Current State: 21:[22, 84], Operations: ['98-6=92', '92-8=84']
Exploring Operation: 22+84=106, Resulting Numbers: [106]
106,21 unequal: No Solution
Exploring Operation: 22*84=1848, Resulting Numbers: [1848]
1848,21 unequal: No Solution
Exploring Operation: 84-22=62, Resulting Numbers: [62]
62,21 unequal: No Solution
Moving to Node #0,2,0
Current State: 21:[90, 16], Operations: ['98-8=90', '22-6=16']
Exploring Operation: 90+16=106, Resulting Numbers: [106]
106,21 unequal: No Solution
Exploring Operation: 90-16=74, Resulting Numbers: [74]
74,21 unequal: No Solution
Exploring Operation: 90*16=1440, Resulting Numbers: [1440]
1440,21 unequal: No Solution
Moving to Node #0,1,2
Current State: 21:[92, 14], Operations: ['98-6=92', '22-8=14']
Exploring Operation: 92*14=1288, Resulting Numbers: [1288]
1288,21 unequal: No Solution
Exploring Operation: 92-14=78, Resulting Numbers: [78]
78,21 unequal: No Solution
Exploring Operation: 92+14=106, Resulting Numbers: [106]
106,21 unequal: No Solution
Moving to Node #0,1,1
Current State: 21:[92, 30], Operations: ['98-6=92', '8+22=30']
Exploring Operation: 92*30=2760, Resulting Numbers: [2760]
2760,21 unequal: No Solution
Exploring Operation: 92-30=62, Resulting Numbers: [62]
62,21 unequal: No Solution
Exploring Operation: 92+30=122, Resulting Numbers: [122]
122,21 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
50,
52,
26,
2
] | 90 | [
"50+26=76",
"76/2=38",
"52+38=90"
] | Current State: 90:[50, 52, 26, 2], Operations: []
Exploring Operation: 50+26=76, Resulting Numbers: [52, 2, 76]
Generated Node #2: [52, 2, 76] from Operation: 50+26=76
Current State: 90:[52, 2, 76], Operations: ['50+26=76']
Exploring Operation: 76/2=38, Resulting Numbers: [52, 38]
Generated Node #3: [52, 38] from Operation: 76/2=38
Current State: 90:[52, 38], Operations: ['50+26=76', '76/2=38']
Exploring Operation: 52+38=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[50, 52, 26, 2], Operations: []
Exploring Operation: 52-50=2, Resulting Numbers: [26, 2, 2]
Generated Node #0,0: 90:[26, 2, 2] Operation: 52-50=2
Exploring Operation: 52/26=2, Resulting Numbers: [50, 2, 2]
Generated Node #0,1: 90:[50, 2, 2] Operation: 52/26=2
Exploring Operation: 52-26=26, Resulting Numbers: [50, 2, 26]
Generated Node #0,2: 90:[50, 2, 26] Operation: 52-26=26
Exploring Operation: 52/2=26, Resulting Numbers: [50, 26, 26]
Generated Node #0,3: 90:[50, 26, 26] Operation: 52/2=26
Exploring Operation: 50-26=24, Resulting Numbers: [52, 2, 24]
Generated Node #0,4: 90:[52, 2, 24] Operation: 50-26=24
Moving to Node #0,0
Current State: 90:[26, 2, 2], Operations: ['52-50=2']
Exploring Operation: 26+2=28, Resulting Numbers: [2, 28]
Generated Node #0,0,0: 90:[2, 28] Operation: 26+2=28
Exploring Operation: 26+2=28, Resulting Numbers: [2, 28]
Generated Node #0,0,1: 90:[2, 28] Operation: 26+2=28
Exploring Operation: 2+2=4, Resulting Numbers: [26, 4]
Generated Node #0,0,2: 90:[26, 4] Operation: 2+2=4
Exploring Operation: 26/2=13, Resulting Numbers: [2, 13]
Generated Node #0,0,3: 90:[2, 13] Operation: 26/2=13
Exploring Operation: 26/2=13, Resulting Numbers: [2, 13]
Generated Node #0,0,4: 90:[2, 13] Operation: 26/2=13
Moving to Node #0,1
Current State: 90:[50, 2, 2], Operations: ['52/26=2']
Exploring Operation: 50/2=25, Resulting Numbers: [2, 25]
Generated Node #0,1,0: 90:[2, 25] Operation: 50/2=25
Exploring Operation: 50-2=48, Resulting Numbers: [2, 48]
Generated Node #0,1,1: 90:[2, 48] Operation: 50-2=48
Exploring Operation: 50-2=48, Resulting Numbers: [2, 48]
Generated Node #0,1,2: 90:[2, 48] Operation: 50-2=48
Exploring Operation: 2+2=4, Resulting Numbers: [50, 4]
Generated Node #0,1,3: 90:[50, 4] Operation: 2+2=4
Exploring Operation: 50/2=25, Resulting Numbers: [2, 25]
Generated Node #0,1,4: 90:[2, 25] Operation: 50/2=25
Moving to Node #0,2
Current State: 90:[50, 2, 26], Operations: ['52-26=26']
Exploring Operation: 26/2=13, Resulting Numbers: [50, 13]
Generated Node #0,2,0: 90:[50, 13] Operation: 26/2=13
Exploring Operation: 2+26=28, Resulting Numbers: [50, 28]
Generated Node #0,2,1: 90:[50, 28] Operation: 2+26=28
Exploring Operation: 50-2=48, Resulting Numbers: [26, 48]
Generated Node #0,2,2: 90:[26, 48] Operation: 50-2=48
Exploring Operation: 50/2=25, Resulting Numbers: [26, 25]
Generated Node #0,2,3: 90:[26, 25] Operation: 50/2=25
Exploring Operation: 50-26=24, Resulting Numbers: [2, 24]
Generated Node #0,2,4: 90:[2, 24] Operation: 50-26=24
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 90:[2, 24], Operations: ['52-26=26', '50-26=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,90 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,90 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,90 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,90 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 #0,2,0
Current State: 90:[50, 13], Operations: ['52-26=26', '26/2=13']
Exploring Operation: 50-13=37, Resulting Numbers: [37]
37,90 unequal: No Solution
Exploring Operation: 50*13=650, Resulting Numbers: [650]
650,90 unequal: No Solution
Exploring Operation: 50+13=63, Resulting Numbers: [63]
63,90 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 #0,2,1
Current State: 90:[50, 28], Operations: ['52-26=26', '2+26=28']
Exploring Operation: 50-28=22, Resulting Numbers: [22]
22,90 unequal: No Solution
Exploring Operation: 50+28=78, Resulting Numbers: [78]
78,90 unequal: No Solution
Exploring Operation: 50*28=1400, Resulting Numbers: [1400]
1400,90 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 #0,2,2
Current State: 90:[26, 48], Operations: ['52-26=26', '50-2=48']
Exploring Operation: 48-26=22, Resulting Numbers: [22]
22,90 unequal: No Solution
Exploring Operation: 26*48=1248, Resulting Numbers: [1248]
1248,90 unequal: No Solution
Exploring Operation: 26+48=74, Resulting Numbers: [74]
74,90 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 #0,2,3
Current State: 90:[26, 25], Operations: ['52-26=26', '50/2=25']
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,90 unequal: No Solution
Exploring Operation: 26+25=51, Resulting Numbers: [51]
51,90 unequal: No Solution
Exploring Operation: 26*25=650, Resulting Numbers: [650]
650,90 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: 90:[50, 26, 26], Operations: ['52/2=26']
Exploring Operation: 26/26=1, Resulting Numbers: [50, 1]
Generated Node #0,3,0: 90:[50, 1] Operation: 26/26=1
Exploring Operation: 50-26=24, Resulting Numbers: [26, 24]
Generated Node #0,3,1: 90:[26, 24] Operation: 50-26=24
Exploring Operation: 26+26=52, Resulting Numbers: [50, 52]
Generated Node #0,3,2: 90:[50, 52] Operation: 26+26=52
Exploring Operation: 26-26=0, Resulting Numbers: [50, 0]
Generated Node #0,3,3: 90:[50, 0] Operation: 26-26=0
Exploring Operation: 50-26=24, Resulting Numbers: [26, 24]
Generated Node #0,3,4: 90:[26, 24] Operation: 50-26=24
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 90:[50, 1], Operations: ['52/2=26', '26/26=1']
Exploring Operation: 50*1=50, Resulting Numbers: [50]
50,90 unequal: No Solution
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,90 unequal: No Solution
Exploring Operation: 50+1=51, Resulting Numbers: [51]
51,90 unequal: No Solution
Exploring Operation: 50/1=50, Resulting Numbers: [50]
50,90 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 #0,3,3
Current State: 90:[50, 0], Operations: ['52/2=26', '26-26=0']
Exploring Operation: 50-0=50, Resulting Numbers: [50]
50,90 unequal: No Solution
Exploring Operation: 50*0=0, Resulting Numbers: [0]
0,90 unequal: No Solution
Exploring Operation: 50+0=50, Resulting Numbers: [50]
50,90 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 #0,3,1
Current State: 90:[26, 24], Operations: ['52/2=26', '50-26=24']
Exploring Operation: 26+24=50, Resulting Numbers: [50]
50,90 unequal: No Solution
Exploring Operation: 26-24=2, Resulting Numbers: [2]
2,90 unequal: No Solution
Exploring Operation: 26*24=624, Resulting Numbers: [624]
624,90 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 #0,3,4
Current State: 90:[26, 24], Operations: ['52/2=26', '50-26=24']
Exploring Operation: 26-24=2, Resulting Numbers: [2]
2,90 unequal: No Solution
Exploring Operation: 26*24=624, Resulting Numbers: [624]
624,90 unequal: No Solution
Exploring Operation: 26+24=50, Resulting Numbers: [50]
50,90 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 #0,3,2
Current State: 90:[50, 52], Operations: ['52/2=26', '26+26=52']
Exploring Operation: 52-50=2, Resulting Numbers: [2]
2,90 unequal: No Solution
Exploring Operation: 50*52=2600, Resulting Numbers: [2600]
2600,90 unequal: No Solution
Exploring Operation: 50+52=102, Resulting Numbers: [102]
102,90 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: 90:[52, 2, 24], Operations: ['50-26=24']
Exploring Operation: 2*24=48, Resulting Numbers: [52, 48]
Generated Node #0,4,0: 90:[52, 48] Operation: 2*24=48
Exploring Operation: 52-2=50, Resulting Numbers: [24, 50]
Generated Node #0,4,1: 90:[24, 50] Operation: 52-2=50
Exploring Operation: 52-24=28, Resulting Numbers: [2, 28]
Generated Node #0,4,2: 90:[2, 28] Operation: 52-24=28
Exploring Operation: 24/2=12, Resulting Numbers: [52, 12]
Generated Node #0,4,3: 90:[52, 12] Operation: 24/2=12
Exploring Operation: 52/2=26, Resulting Numbers: [24, 26]
Generated Node #0,4,4: 90:[24, 26] Operation: 52/2=26
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 90:[2, 28], Operations: ['50-26=24', '52-24=28']
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,90 unequal: No Solution
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,90 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,90 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 #0,4,3
Current State: 90:[52, 12], Operations: ['50-26=24', '24/2=12']
Exploring Operation: 52+12=64, Resulting Numbers: [64]
64,90 unequal: No Solution
Exploring Operation: 52*12=624, Resulting Numbers: [624]
624,90 unequal: No Solution
Exploring Operation: 52-12=40, Resulting Numbers: [40]
40,90 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 #0,4,0
Current State: 90:[52, 48], Operations: ['50-26=24', '2*24=48']
Exploring Operation: 52*48=2496, Resulting Numbers: [2496]
2496,90 unequal: No Solution
Exploring Operation: 52-48=4, Resulting Numbers: [4]
4,90 unequal: No Solution
Exploring Operation: 52+48=100, Resulting Numbers: [100]
100,90 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 #0,4,4
Current State: 90:[24, 26], Operations: ['50-26=24', '52/2=26']
Exploring Operation: 24+26=50, Resulting Numbers: [50]
50,90 unequal: No Solution
Exploring Operation: 24*26=624, Resulting Numbers: [624]
624,90 unequal: No Solution
Exploring Operation: 26-24=2, Resulting Numbers: [2]
2,90 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 #0,4,1
Current State: 90:[24, 50], Operations: ['50-26=24', '52-2=50']
Exploring Operation: 24+50=74, Resulting Numbers: [74]
74,90 unequal: No Solution
Exploring Operation: 50-24=26, Resulting Numbers: [26]
26,90 unequal: No Solution
Exploring Operation: 24*50=1200, Resulting Numbers: [1200]
1200,90 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: 90:[2, 28], Operations: ['52-50=2', '26+2=28']
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,90 unequal: No Solution
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,90 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,90 unequal: No Solution
Moving to Node #0,0,3
Current State: 90:[2, 13], Operations: ['52-50=2', '26/2=13']
Exploring Operation: 2+13=15, Resulting Numbers: [15]
15,90 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,90 unequal: No Solution
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,90 unequal: No Solution
Moving to Node #0,0,1
Current State: 90:[2, 28], Operations: ['52-50=2', '26+2=28']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,90 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,90 unequal: No Solution
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,90 unequal: No Solution
Moving to Node #0,0,4
Current State: 90:[2, 13], Operations: ['52-50=2', '26/2=13']
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,90 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,90 unequal: No Solution
Exploring Operation: 2+13=15, Resulting Numbers: [15]
15,90 unequal: No Solution
Moving to Node #0,1,2
Current State: 90:[2, 48], Operations: ['52/26=2', '50-2=48']
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,90 unequal: No Solution
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,90 unequal: No Solution
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,90 unequal: No Solution
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,90 unequal: No Solution
Moving to Node #0,1,1
Current State: 90:[2, 48], Operations: ['52/26=2', '50-2=48']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,90 unequal: No Solution
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,90 unequal: No Solution
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,90 unequal: No Solution
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,90 unequal: No Solution
Moving to Node #0,0,2
Current State: 90:[26, 4], Operations: ['52-50=2', '2+2=4']
Exploring Operation: 26+4=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 26*4=104, Resulting Numbers: [104]
104,90 unequal: No Solution
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,90 unequal: No Solution
Moving to Node #0,1,0
Current State: 90:[2, 25], Operations: ['52/26=2', '50/2=25']
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,90 unequal: No Solution
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,90 unequal: No Solution
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,90 unequal: No Solution
Moving to Node #0,1,4
Current State: 90:[2, 25], Operations: ['52/26=2', '50/2=25']
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,90 unequal: No Solution
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,90 unequal: No Solution
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,90 unequal: No Solution
Moving to Node #0,1,3
Current State: 90:[50, 4], Operations: ['52/26=2', '2+2=4']
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,90 unequal: No Solution
Exploring Operation: 50*4=200, Resulting Numbers: [200]
200,90 unequal: No Solution
Exploring Operation: 50+4=54, Resulting Numbers: [54]
54,90 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
50,
38,
9,
20
] | 100 | [
"38-20=18",
"50*18=900",
"900/9=100"
] | Current State: 100:[50, 38, 9, 20], Operations: []
Exploring Operation: 38-20=18, Resulting Numbers: [50, 9, 18]
Generated Node #2: [50, 9, 18] from Operation: 38-20=18
Current State: 100:[50, 9, 18], Operations: ['38-20=18']
Exploring Operation: 50*18=900, Resulting Numbers: [9, 900]
Generated Node #3: [9, 900] from Operation: 50*18=900
Current State: 100:[9, 900], Operations: ['38-20=18', '50*18=900']
Exploring Operation: 900/9=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[50, 38, 9, 20], Operations: []
Exploring Operation: 50-38=12, Resulting Numbers: [9, 20, 12]
Generated Node #0,0: 100:[9, 20, 12] Operation: 50-38=12
Exploring Operation: 38+9=47, Resulting Numbers: [50, 20, 47]
Generated Node #0,1: 100:[50, 20, 47] Operation: 38+9=47
Moving to Node #0,0
Current State: 100:[9, 20, 12], Operations: ['50-38=12']
Exploring Operation: 9+12=21, Resulting Numbers: [20, 21]
Generated Node #0,0,0: 100:[20, 21] Operation: 9+12=21
Exploring Operation: 12-9=3, Resulting Numbers: [20, 3]
Generated Node #0,0,1: 100:[20, 3] Operation: 12-9=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 100:[20, 21], Operations: ['50-38=12', '9+12=21']
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,100 unequal: No Solution
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,100 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 #0,0,1
Current State: 100:[20, 3], Operations: ['50-38=12', '12-9=3']
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,100 unequal: No Solution
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,100 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: 100:[50, 20, 47], Operations: ['38+9=47']
Exploring Operation: 47-20=27, Resulting Numbers: [50, 27]
Generated Node #0,1,0: 100:[50, 27] Operation: 47-20=27
Exploring Operation: 50-47=3, Resulting Numbers: [20, 3]
Generated Node #0,1,1: 100:[20, 3] Operation: 50-47=3
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 100:[20, 3], Operations: ['38+9=47', '50-47=3']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 100:[50, 27], Operations: ['38+9=47', '47-20=27']
Exploring Operation: 50+27=77, Resulting Numbers: [77]
77,100 unequal: No Solution
Exploring Operation: 50-27=23, Resulting Numbers: [23]
23,100 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 |
[
79,
38,
76,
58
] | 17 | [
"79+38=117",
"76+58=134",
"134-117=17"
] | Current State: 17:[79, 38, 76, 58], Operations: []
Exploring Operation: 79+38=117, Resulting Numbers: [76, 58, 117]
Generated Node #2: [76, 58, 117] from Operation: 79+38=117
Current State: 17:[76, 58, 117], Operations: ['79+38=117']
Exploring Operation: 76+58=134, Resulting Numbers: [117, 134]
Generated Node #3: [117, 134] from Operation: 76+58=134
Current State: 17:[117, 134], Operations: ['79+38=117', '76+58=134']
Exploring Operation: 134-117=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[79, 38, 76, 58], Operations: []
Exploring Operation: 76-58=18, Resulting Numbers: [79, 38, 18]
Generated Node #0,0: 17:[79, 38, 18] Operation: 76-58=18
Exploring Operation: 79-76=3, Resulting Numbers: [38, 58, 3]
Generated Node #0,1: 17:[38, 58, 3] Operation: 79-76=3
Exploring Operation: 79-58=21, Resulting Numbers: [38, 76, 21]
Generated Node #0,2: 17:[38, 76, 21] Operation: 79-58=21
Exploring Operation: 76/38=2, Resulting Numbers: [79, 58, 2]
Generated Node #0,3: 17:[79, 58, 2] Operation: 76/38=2
Moving to Node #0,1
Current State: 17:[38, 58, 3], Operations: ['79-76=3']
Exploring Operation: 38-3=35, Resulting Numbers: [58, 35]
Generated Node #0,1,0: 17:[58, 35] Operation: 38-3=35
Exploring Operation: 38+3=41, Resulting Numbers: [58, 41]
Generated Node #0,1,1: 17:[58, 41] Operation: 38+3=41
Exploring Operation: 58-38=20, Resulting Numbers: [3, 20]
Generated Node #0,1,2: 17:[3, 20] Operation: 58-38=20
Exploring Operation: 58-3=55, Resulting Numbers: [38, 55]
Generated Node #0,1,3: 17:[38, 55] Operation: 58-3=55
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 17:[3, 20], Operations: ['79-76=3', '58-38=20']
Exploring Operation: 3+20=23, Resulting Numbers: [23]
23,17 unequal: No Solution
Exploring Operation: 3*20=60, Resulting Numbers: [60]
60,17 unequal: No Solution
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[79, 38, 76, 58], Operations: []
Exploring Operation: 79-76=3, Resulting Numbers: [38, 58, 3]
Generated Node #0,1: 17:[38, 58, 3] Operation: 79-76=3
Moving to Node #0,1
Current State: 17:[38, 58, 3], Operations: ['79-76=3']
Exploring Operation: 58-38=20, Resulting Numbers: [3, 20]
Generated Node #0,1,2: 17:[3, 20] Operation: 58-38=20
Moving to Node #0,1,2
Current State: 17:[3, 20], Operations: ['79-76=3', '58-38=20']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
44,
48,
84,
45
] | 66 | [
"48-44=4",
"84/4=21",
"45+21=66"
] | Current State: 66:[44, 48, 84, 45], Operations: []
Exploring Operation: 48-44=4, Resulting Numbers: [84, 45, 4]
Generated Node #2: [84, 45, 4] from Operation: 48-44=4
Current State: 66:[84, 45, 4], Operations: ['48-44=4']
Exploring Operation: 84/4=21, Resulting Numbers: [45, 21]
Generated Node #3: [45, 21] from Operation: 84/4=21
Current State: 66:[45, 21], Operations: ['48-44=4', '84/4=21']
Exploring Operation: 45+21=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[44, 48, 84, 45], Operations: []
Exploring Operation: 84-48=36, Resulting Numbers: [44, 45, 36]
Generated Node #0,0: 66:[44, 45, 36] Operation: 84-48=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[44, 45, 36], Operations: ['84-48=36']
Exploring Operation: 45-44=1, Resulting Numbers: [36, 1]
Generated Node #0,0,0: 66:[36, 1] Operation: 45-44=1
Moving to Node #0,0,0
Current State: 66:[36, 1], Operations: ['84-48=36', '45-44=1']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,66 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 |
[
41,
50,
31,
78
] | 83 | [
"41-31=10",
"50/10=5",
"78+5=83"
] | Current State: 83:[41, 50, 31, 78], Operations: []
Exploring Operation: 41-31=10, Resulting Numbers: [50, 78, 10]
Generated Node #2: [50, 78, 10] from Operation: 41-31=10
Current State: 83:[50, 78, 10], Operations: ['41-31=10']
Exploring Operation: 50/10=5, Resulting Numbers: [78, 5]
Generated Node #3: [78, 5] from Operation: 50/10=5
Current State: 83:[78, 5], Operations: ['41-31=10', '50/10=5']
Exploring Operation: 78+5=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[41, 50, 31, 78], Operations: []
Exploring Operation: 41+31=72, Resulting Numbers: [50, 78, 72]
Generated Node #0,0: 83:[50, 78, 72] Operation: 41+31=72
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[50, 78, 72], Operations: ['41+31=72']
Exploring Operation: 50+72=122, Resulting Numbers: [78, 122]
Generated Node #0,0,0: 83:[78, 122] Operation: 50+72=122
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[78, 122], Operations: ['41+31=72', '50+72=122']
Exploring Operation: 122-78=44, Resulting Numbers: [44]
44,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
88,
55,
6,
73
] | 76 | [
"88+55=143",
"73-6=67",
"143-67=76"
] | Current State: 76:[88, 55, 6, 73], Operations: []
Exploring Operation: 88+55=143, Resulting Numbers: [6, 73, 143]
Generated Node #2: [6, 73, 143] from Operation: 88+55=143
Current State: 76:[6, 73, 143], Operations: ['88+55=143']
Exploring Operation: 73-6=67, Resulting Numbers: [143, 67]
Generated Node #3: [143, 67] from Operation: 73-6=67
Current State: 76:[143, 67], Operations: ['88+55=143', '73-6=67']
Exploring Operation: 143-67=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[88, 55, 6, 73], Operations: []
Exploring Operation: 88-55=33, Resulting Numbers: [6, 73, 33]
Generated Node #0,0: 76:[6, 73, 33] Operation: 88-55=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[6, 73, 33], Operations: ['88-55=33']
Exploring Operation: 6+33=39, Resulting Numbers: [73, 39]
Generated Node #0,0,0: 76:[73, 39] Operation: 6+33=39
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 76:[73, 39], Operations: ['88-55=33', '6+33=39']
Exploring Operation: 73-39=34, Resulting Numbers: [34]
34,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
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